LMFDB - Embedded newform 966.2.q.h.127.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			127.3
Character	$\chi$	$=$	966.127
Dual form			966.2.q.h.715.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.36510 - 0.694456i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})$	\(q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.36510 - 0.694456i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-1.61420 + 1.86288i) q^{10} +(-2.22625 - 1.43073i) q^{11} +(-0.841254 - 0.540641i) q^{12} +(-0.672982 + 0.776663i) q^{13} +(0.959493 + 0.281733i) q^{14} +(-0.350799 - 2.43986i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.649284 - 1.42173i) q^{17} +(0.959493 - 0.281733i) q^{18} +(2.76587 - 6.05641i) q^{19} +(0.350799 - 2.43986i) q^{20} +(-0.841254 + 0.540641i) q^{21} +2.64635 q^{22} +(2.88654 - 3.82987i) q^{23} +1.00000 q^{24} +(0.905167 - 0.581715i) q^{25} +(0.146253 - 1.01721i) q^{26} +(-0.415415 + 0.909632i) q^{27} +(-0.959493 + 0.281733i) q^{28} +(2.11304 + 4.62691i) q^{29} +(1.61420 + 1.86288i) q^{30} +(-0.723913 - 5.03493i) q^{31} +(0.959493 + 0.281733i) q^{32} +(-1.73299 + 1.99998i) q^{33} +(1.31486 + 0.845009i) q^{34} +(-2.07365 - 1.33265i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-9.74557 - 2.86156i) q^{37} +(0.947545 + 6.59032i) q^{38} +(0.672982 + 0.776663i) q^{39} +(1.02398 + 2.24220i) q^{40} +(-5.32144 + 1.56252i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-0.397383 + 2.76386i) q^{43} +(-2.22625 + 1.43073i) q^{44} -2.46495 q^{45} +(-0.357727 + 4.78247i) q^{46} +8.64396 q^{47} +(-0.841254 + 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(-0.446976 + 0.978740i) q^{50} +(-1.49967 + 0.440342i) q^{51} +(0.426910 + 0.934803i) q^{52} +(-0.976548 - 1.12700i) q^{53} +(-0.142315 - 0.989821i) q^{54} +(-6.25889 - 1.83778i) q^{55} +(0.654861 - 0.755750i) q^{56} +(-5.60114 - 3.59963i) q^{57} +(-4.27910 - 2.75001i) q^{58} +(-0.174246 + 0.201091i) q^{59} +(-2.36510 - 0.694456i) q^{60} +(-1.90339 - 13.2383i) q^{61} +(3.33108 + 3.84427i) q^{62} +(0.415415 + 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-1.05231 + 2.30424i) q^{65} +(0.376615 - 2.61942i) q^{66} +(-0.344193 + 0.221199i) q^{67} -1.56298 q^{68} +(-3.38009 - 3.40220i) q^{69} +2.46495 q^{70} +(7.30682 - 4.69581i) q^{71} +(0.142315 - 0.989821i) q^{72} +(1.03511 - 2.26657i) q^{73} +(9.74557 - 2.86156i) q^{74} +(-0.446976 - 0.978740i) q^{75} +(-4.36012 - 5.03185i) q^{76} +(0.376615 + 2.61942i) q^{77} +(-0.986044 - 0.289529i) q^{78} +(-7.23402 + 8.34851i) q^{79} +(-2.07365 - 1.33265i) q^{80} +(0.841254 + 0.540641i) q^{81} +(3.63192 - 4.19146i) q^{82} +(14.5807 + 4.28128i) q^{83} +(0.142315 + 0.989821i) q^{84} +(-2.52296 - 2.91165i) q^{85} +(-1.15995 - 2.53994i) q^{86} +(4.88053 - 1.43305i) q^{87} +(1.09933 - 2.40721i) q^{88} +(1.22861 - 8.54517i) q^{89} +(2.07365 - 1.33265i) q^{90} +1.02767 q^{91} +(-2.28466 - 4.21667i) q^{92} -5.08670 q^{93} +(-7.27176 + 4.67328i) q^{94} +(2.33565 - 16.2448i) q^{95} +(0.415415 - 0.909632i) q^{96} +(-4.06282 + 1.19295i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(1.73299 + 1.99998i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9 + 12 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 + 3 * q^14 + q^15 - 3 * q^16 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{10}{11}\right)$

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
$3$	0.142315	−	0.989821i	0.0821655	−	0.571474i
$3$	0.142315	−	0.989821i	0.0821655	−	0.571474i
$4$	0.415415	−	0.909632i	0.207708	−	0.454816i
$5$	2.36510	−	0.694456i	1.05771	−	0.310570i	0.293779	−	0.955873i	$-0.405087\pi$
$5$	2.36510	−	0.694456i	1.05771	−	0.310570i	0.763927	+	0.645303i	$0.223269\pi$
$6$	0.415415	+	0.909632i	0.169592	+	0.371356i
$7$	−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
$9$	−0.959493	−	0.281733i	−0.319831	−	0.0939109i
$10$	−1.61420	+	1.86288i	−0.510454	+	0.589096i
$11$	−2.22625	−	1.43073i	−0.671241	−	0.431380i	0.160132	−	0.987096i	$-0.448808\pi$
$11$	−2.22625	−	1.43073i	−0.671241	−	0.431380i	−0.831373	+	0.555715i	$0.812444\pi$
$12$	−0.841254	−	0.540641i	−0.242849	−	0.156070i
$13$	−0.672982	+	0.776663i	−0.186652	+	0.215407i	−0.841361	−	0.540473i	$-0.818245\pi$
$13$	−0.672982	+	0.776663i	−0.186652	+	0.215407i	0.654710	+	0.755880i	$0.272791\pi$
$14$	0.959493	+	0.281733i	0.256435	+	0.0752962i
$15$	−0.350799	−	2.43986i	−0.0905759	−	0.629969i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−0.649284	−	1.42173i	−0.157475	−	0.344821i	0.814406	−	0.580295i	$-0.197063\pi$
$17$	−0.649284	−	1.42173i	−0.157475	−	0.344821i	−0.971881	+	0.235474i	$0.924336\pi$
$18$	0.959493	−	0.281733i	0.226155	−	0.0664050i
$19$	2.76587	−	6.05641i	0.634534	−	1.38944i	−0.269928	−	0.962881i	$-0.587000\pi$
$19$	2.76587	−	6.05641i	0.634534	−	1.38944i	0.904462	−	0.426555i	$-0.140273\pi$
$20$	0.350799	−	2.43986i	0.0784410	−	0.545569i
$21$	−0.841254	+	0.540641i	−0.183577	+	0.117977i
$22$	2.64635			0.564204
$23$	2.88654	−	3.82987i	0.601885	−	0.798583i
$23$	2.88654	−	3.82987i	0.601885	−	0.798583i
$24$	1.00000			0.204124
$25$	0.905167	−	0.581715i	0.181033	−	0.116343i
$26$	0.146253	−	1.01721i	0.0286826	−	0.199492i
$27$	−0.415415	+	0.909632i	−0.0799467	+	0.175059i
$28$	−0.959493	+	0.281733i	−0.181327	+	0.0532424i
$29$	2.11304	+	4.62691i	0.392381	+	0.859196i	0.997986	+	0.0634300i	$0.0202040\pi$
$29$	2.11304	+	4.62691i	0.392381	+	0.859196i	−0.605605	+	0.795766i	$0.707069\pi$
$30$	1.61420	+	1.86288i	0.294711	+	0.340115i
$31$	−0.723913	−	5.03493i	−0.130019	−	0.904299i	−0.945525	−	0.325551i	$-0.894450\pi$
$31$	−0.723913	−	5.03493i	−0.130019	−	0.904299i	0.815506	−	0.578749i	$-0.196459\pi$
$32$	0.959493	+	0.281733i	0.169616	+	0.0498038i
$33$	−1.73299	+	1.99998i	−0.301675	+	0.348152i
$34$	1.31486	+	0.845009i	0.225497	+	0.144918i
$35$	−2.07365	−	1.33265i	−0.350510	−	0.225259i
$36$	−0.654861	+	0.755750i	−0.109143	+	0.125958i
$37$	−9.74557	−	2.86156i	−1.60216	−	0.470437i	−0.646015	−	0.763325i	$-0.723566\pi$
$37$	−9.74557	−	2.86156i	−1.60216	−	0.470437i	−0.956147	+	0.292888i	$0.905384\pi$
$38$	0.947545	+	6.59032i	0.153712	+	1.06909i
$39$	0.672982	+	0.776663i	0.107763	+	0.124366i
$40$	1.02398	+	2.24220i	0.161905	+	0.354522i
$41$	−5.32144	+	1.56252i	−0.831070	+	0.244024i	−0.669476	−	0.742833i	$-0.733482\pi$
$41$	−5.32144	+	1.56252i	−0.831070	+	0.244024i	−0.161593	+	0.986857i	$0.551663\pi$
$42$	0.415415	−	0.909632i	0.0640999	−	0.140359i
$43$	−0.397383	+	2.76386i	−0.0606003	+	0.421484i	0.936827	+	0.349794i	$0.113748\pi$
$43$	−0.397383	+	2.76386i	−0.0606003	+	0.421484i	−0.997427	+	0.0716902i	$0.977161\pi$
$44$	−2.22625	+	1.43073i	−0.335620	+	0.215690i
$45$	−2.46495			−0.367453
$46$	−0.357727	+	4.78247i	−0.0527439	+	0.705137i
$47$	8.64396			1.26085			0.630426	−	0.776250i	$-0.282880\pi$
$47$	8.64396			1.26085			0.630426	+	0.776250i	$0.282880\pi$
$48$	−0.841254	+	0.540641i	−0.121424	+	0.0780348i
$49$	−0.142315	+	0.989821i	−0.0203307	+	0.141403i
$50$	−0.446976	+	0.978740i	−0.0632119	+	0.138415i
$51$	−1.49967	+	0.440342i	−0.209995	+	0.0616602i
$52$	0.426910	+	0.934803i	0.0592018	+	0.129634i
$53$	−0.976548	−	1.12700i	−0.134139	−	0.154805i	0.684706	−	0.728820i	$-0.259931\pi$
$53$	−0.976548	−	1.12700i	−0.134139	−	0.154805i	−0.818845	+	0.574015i	$0.805385\pi$
$54$	−0.142315	−	0.989821i	−0.0193666	−	0.134698i
$55$	−6.25889	−	1.83778i	−0.843949	−	0.247806i
$56$	0.654861	−	0.755750i	0.0875094	−	0.100991i
$57$	−5.60114	−	3.59963i	−0.741889	−	0.476783i
$58$	−4.27910	−	2.75001i	−0.561873	−	0.361094i
$59$	−0.174246	+	0.201091i	−0.0226849	+	0.0261798i	−0.766979	−	0.641673i	$-0.778241\pi$
$59$	−0.174246	+	0.201091i	−0.0226849	+	0.0261798i	0.744294	+	0.667852i	$0.232786\pi$
$60$	−2.36510	−	0.694456i	−0.305333	−	0.0896539i
$61$	−1.90339	−	13.2383i	−0.243704	−	1.69500i	−0.633216	−	0.773975i	$-0.718266\pi$
$61$	−1.90339	−	13.2383i	−0.243704	−	1.69500i	0.389513	−	0.921021i	$-0.372643\pi$
$62$	3.33108	+	3.84427i	0.423048	+	0.488223i
$63$	0.415415	+	0.909632i	0.0523374	+	0.114603i
$64$	−0.959493	+	0.281733i	−0.119937	+	0.0352166i
$65$	−1.05231	+	2.30424i	−0.130523	+	0.285806i
$66$	0.376615	−	2.61942i	0.0463581	−	0.322428i
$67$	−0.344193	+	0.221199i	−0.0420498	+	0.0270238i	−0.561497	−	0.827479i	$-0.689774\pi$
$67$	−0.344193	+	0.221199i	−0.0420498	+	0.0270238i	0.519447	+	0.854503i	$0.326138\pi$
$68$	−1.56298			−0.189539
$69$	−3.38009	−	3.40220i	−0.406915	−	0.409577i
$70$	2.46495			0.294618
$71$	7.30682	−	4.69581i	0.867160	−	0.557290i	−0.0297229	−	0.999558i	$-0.509462\pi$
$71$	7.30682	−	4.69581i	0.867160	−	0.557290i	0.896883	+	0.442268i	$0.145826\pi$
$72$	0.142315	−	0.989821i	0.0167720	−	0.116652i
$73$	1.03511	−	2.26657i	0.121150	−	0.265282i	−0.839334	−	0.543616i	$-0.817055\pi$
$73$	1.03511	−	2.26657i	0.121150	−	0.265282i	0.960484	+	0.278334i	$0.0897822\pi$
$74$	9.74557	−	2.86156i	1.13290	−	0.332649i
$75$	−0.446976	−	0.978740i	−0.0516123	−	0.113015i
$76$	−4.36012	−	5.03185i	−0.500140	−	0.577192i
$77$	0.376615	+	2.61942i	0.0429193	+	0.298510i
$78$	−0.986044	−	0.289529i	−0.111647	−	0.0327827i
$79$	−7.23402	+	8.34851i	−0.813891	+	0.939281i	−0.999057	−	0.0434267i	$-0.986172\pi$
$79$	−7.23402	+	8.34851i	−0.813891	+	0.939281i	0.185165	+	0.982707i	$0.440718\pi$
$80$	−2.07365	−	1.33265i	−0.231841	−	0.148995i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	3.63192	−	4.19146i	0.401079	−	0.462870i
$83$	14.5807	+	4.28128i	1.60044	+	0.469932i	0.955669	−	0.294443i	$-0.0951342\pi$
$83$	14.5807	+	4.28128i	1.60044	+	0.469932i	0.644772	+	0.764375i	$0.276952\pi$
$84$	0.142315	+	0.989821i	0.0155278	+	0.107998i
$85$	−2.52296	−	2.91165i	−0.273653	−	0.315812i
$86$	−1.15995	−	2.53994i	−0.125081	−	0.273889i
$87$	4.88053	−	1.43305i	0.523248	−	0.153639i
$88$	1.09933	−	2.40721i	0.117189	−	0.256609i
$89$	1.22861	−	8.54517i	0.130232	−	0.905786i	−0.815017	−	0.579437i	$-0.803272\pi$
$89$	1.22861	−	8.54517i	0.130232	−	0.905786i	0.945249	−	0.326349i	$-0.105819\pi$
$90$	2.07365	−	1.33265i	0.218582	−	0.140474i
$91$	1.02767			0.107729
$92$	−2.28466	−	4.21667i	−0.238192	−	0.439618i
$93$	−5.08670			−0.527466
$94$	−7.27176	+	4.67328i	−0.750025	+	0.482012i
$95$	2.33565	−	16.2448i	0.239633	−	1.66668i
$96$	0.415415	−	0.909632i	0.0423981	−	0.0928389i
$97$	−4.06282	+	1.19295i	−0.412516	+	0.121126i	−0.481404	−	0.876499i	$-0.659873\pi$
$97$	−4.06282	+	1.19295i	−0.412516	+	0.121126i	0.0688879	+	0.997624i	$0.478055\pi$
$98$	−0.415415	−	0.909632i	−0.0419633	−	0.0918867i
$99$	1.73299	+	1.99998i	0.174172	+	0.201006i
$100$	−0.153127	−	1.06502i	−0.0153127	−	0.106502i
$101$	7.50662	+	2.20414i	0.746937	+	0.219320i	0.632983	−	0.774166i	$-0.281830\pi$
$101$	7.50662	+	2.20414i	0.746937	+	0.219320i	0.113954	+	0.993486i	$0.463648\pi$
$102$	1.02353	−	1.18122i	0.101345	−	0.116958i
$103$	−10.2353	−	6.57785i	−1.00852	−	0.648135i	−0.0715083	−	0.997440i	$-0.522781\pi$
$103$	−10.2353	−	6.57785i	−1.00852	−	0.648135i	−0.937009	+	0.349305i	$0.886418\pi$
$104$	−0.864533	−	0.555601i	−0.0847744	−	0.0544812i
$105$	−1.61420	+	1.86288i	−0.157530	+	0.181799i
$106$	1.43082	+	0.420128i	0.138974	+	0.0408064i
$107$	−1.48446	−	10.3247i	−0.143508	−	0.998122i	−0.926555	−	0.376159i	$-0.877245\pi$
$107$	−1.48446	−	10.3247i	−0.143508	−	0.998122i	0.783047	−	0.621963i	$-0.213664\pi$
$108$	0.654861	+	0.755750i	0.0630140	+	0.0727220i
$109$	−0.220290	−	0.482369i	−0.0211000	−	0.0462025i	0.898789	−	0.438382i	$-0.144448\pi$
$109$	−0.220290	−	0.482369i	−0.0211000	−	0.0462025i	−0.919889	+	0.392180i	$0.871721\pi$
$110$	6.25889	−	1.83778i	0.596762	−	0.175225i
$111$	−4.21937	+	9.23913i	−0.400485	+	0.876939i
$112$	−0.142315	+	0.989821i	−0.0134475	+	0.0935293i
$113$	−5.69411	+	3.65938i	−0.535657	+	0.344246i	−0.780338	−	0.625358i	$-0.784953\pi$
$113$	−5.69411	+	3.65938i	−0.535657	+	0.344246i	0.244681	+	0.969604i	$0.421317\pi$
$114$	6.65809			0.623587
$115$	4.16728	−	11.0626i	0.388601	−	1.03159i
$116$	5.08657			0.472276
$117$	0.864533	−	0.555601i	0.0799261	−	0.0513654i
$118$	0.0378673	−	0.263373i	0.00348596	−	0.0242454i
$119$	−0.649284	+	1.42173i	−0.0595198	+	0.130330i
$120$	2.36510	−	0.694456i	0.215903	−	0.0633949i
$121$	−1.66034	−	3.63564i	−0.150940	−	0.330512i
$122$	8.75842	+	10.1078i	0.792950	+	0.915113i
$123$	0.789292	+	5.48965i	0.0711681	+	0.494985i
$124$	−4.88065	−	1.43309i	−0.438296	−	0.128695i
$125$	−6.33416	+	7.31001i	−0.566544	+	0.653827i
$126$	−0.841254	−	0.540641i	−0.0749448	−	0.0481641i
$127$	2.15586	+	1.38549i	0.191301	+	0.122942i	0.632786	−	0.774327i	$-0.281911\pi$
$127$	2.15586	+	1.38549i	0.191301	+	0.122942i	−0.441484	+	0.897269i	$0.645548\pi$
$128$	0.654861	−	0.755750i	0.0578821	−	0.0667995i
$129$	2.67917	+	0.786675i	0.235888	+	0.0692629i
$130$	−0.360506	−	2.50738i	−0.0316185	−	0.219911i
$131$	2.68737	+	3.10139i	0.234796	+	0.270969i	0.860904	−	0.508767i	$-0.169899\pi$
$131$	2.68737	+	3.10139i	0.234796	+	0.270969i	−0.626108	+	0.779736i	$0.715353\pi$
$132$	1.09933	+	2.40721i	0.0956848	+	0.209520i
$133$	−6.38839	+	1.87580i	−0.553944	+	0.162652i
$134$	0.169964	−	0.372169i	0.0146827	−	0.0321505i
$135$	−0.350799	+	2.43986i	−0.0301920	+	0.209990i
$136$	1.31486	−	0.845009i	0.112748	−	0.0724590i
$137$	21.2515			1.81564			0.907820	−	0.419361i	$-0.137746\pi$
$137$	21.2515			1.81564			0.907820	+	0.419361i	$0.137746\pi$
$138$	4.68288	+	1.03470i	0.398633	+	0.0880797i
$139$	8.77438			0.744233			0.372117	−	0.928186i	$-0.378632\pi$
$139$	8.77438			0.744233			0.372117	+	0.928186i	$0.378632\pi$
$140$	−2.07365	+	1.33265i	−0.175255	+	0.112630i
$141$	1.23016	−	8.55598i	0.103598	−	0.720543i
$142$	−3.60814	+	7.90073i	−0.302789	+	0.663014i
$143$	2.60942	−	0.766195i	0.218211	−	0.0640724i
$144$	0.415415	+	0.909632i	0.0346179	+	0.0758027i
$145$	8.21074	+	9.47570i	0.681865	+	0.786914i
$146$	0.354612	+	2.46638i	0.0293479	+	0.204119i
$147$	0.959493	+	0.281733i	0.0791376	+	0.0232369i
$148$	−6.65142	+	7.67615i	−0.546743	+	0.630975i
$149$	−13.0287	−	8.37302i	−1.06735	−	0.685945i	−0.115749	−	0.993279i	$-0.536927\pi$
$149$	−13.0287	−	8.37302i	−1.06735	−	0.685945i	−0.951602	+	0.307334i	$0.900563\pi$
$150$	0.905167	+	0.581715i	0.0739066	+	0.0474969i
$151$	6.60592	−	7.62363i	0.537582	−	0.620403i	−0.420363	−	0.907356i	$-0.638097\pi$
$151$	6.60592	−	7.62363i	0.537582	−	0.620403i	0.957944	+	0.286954i	$0.0926426\pi$
$152$	6.38839	+	1.87580i	0.518167	+	0.152147i
$153$	0.222435	+	1.54707i	0.0179828	+	0.125073i
$154$	−1.73299	−	1.99998i	−0.139648	−	0.161163i
$155$	−5.20866	−	11.4054i	−0.418370	−	0.916102i
$156$	0.986044	−	0.289529i	0.0789467	−	0.0231808i
$157$	−4.97431	+	10.8922i	−0.396993	+	0.869294i	0.600573	+	0.799570i	$0.294939\pi$
$157$	−4.97431	+	10.8922i	−0.396993	+	0.869294i	−0.997566	+	0.0697241i	$0.977788\pi$
$158$	1.57210	−	10.9342i	0.125070	−	0.869880i
$159$	−1.25450	+	0.806219i	−0.0994885	+	0.0639374i
$160$	2.46495			0.194871
$161$	−4.78470	+	0.326531i	−0.377087	+	0.0257343i
$162$	−1.00000			−0.0785674
$163$	7.21203	−	4.63489i	0.564890	−	0.363033i	−0.226813	−	0.973938i	$-0.572831\pi$
$163$	7.21203	−	4.63489i	0.564890	−	0.363033i	0.791704	+	0.610905i	$0.209194\pi$
$164$	−0.789292	+	5.48965i	−0.0616334	+	0.428670i
$165$	−2.70980	+	5.93364i	−0.210958	+	0.461933i
$166$	−14.5807	+	4.28128i	−1.13168	+	0.332292i
$167$	9.35174	+	20.4774i	0.723659	+	1.58459i	0.808704	+	0.588215i	$0.200169\pi$
$167$	9.35174	+	20.4774i	0.723659	+	1.58459i	−0.0850451	+	0.996377i	$0.527103\pi$
$168$	−0.654861	−	0.755750i	−0.0505236	−	0.0583073i
$169$	1.69979	+	11.8223i	0.130753	+	0.909409i
$170$	3.69660	+	1.08542i	0.283516	+	0.0832479i
$171$	−4.36012	+	5.03185i	−0.333427	+	0.384795i
$172$	2.34901	+	1.50962i	0.179111	+	0.115107i
$173$	18.7134	+	12.0264i	1.42275	+	0.914348i	0.999967	+	0.00811804i	$0.00258408\pi$
$173$	18.7134	+	12.0264i	1.42275	+	0.914348i	0.422786	+	0.906230i	$0.361052\pi$
$174$	−3.33100	+	3.84418i	−0.252522	+	0.291426i
$175$	−1.03239	−	0.303137i	−0.0780413	−	0.0229150i
$176$	0.376615	+	2.61942i	0.0283884	+	0.197446i
$177$	0.174246	+	0.201091i	0.0130971	+	0.0151149i
$178$	3.58630	+	7.85289i	0.268804	+	0.588599i
$179$	−1.25837	+	0.369491i	−0.0940551	+	0.0276171i	−0.328422	−	0.944531i	$-0.606517\pi$
$179$	−1.25837	+	0.369491i	−0.0940551	+	0.0276171i	0.234366	+	0.972148i	$0.424698\pi$
$180$	−1.02398	+	2.24220i	−0.0763227	+	0.167123i
$181$	0.725553	−	5.04633i	0.0539299	−	0.375091i	−0.944927	−	0.327282i	$-0.893867\pi$
$181$	0.725553	−	5.04633i	0.0539299	−	0.375091i	0.998857	−	0.0478085i	$-0.0152237\pi$
$182$	−0.864533	+	0.555601i	−0.0640834	+	0.0411839i
$183$	−13.3745			−0.988670
$184$	4.20168	+	2.31211i	0.309752	+	0.170451i
$185$	−25.0365			−1.84072
$186$	4.27921	−	2.75008i	0.313767	−	0.201646i
$187$	−0.588641	+	4.09409i	−0.0430457	+	0.299389i
$188$	3.59083	−	7.86282i	0.261888	−	0.573455i
$189$	0.959493	−	0.281733i	0.0697928	−	0.0204930i
$190$	6.81773	+	14.9287i	0.494610	+	1.08304i
$191$	7.05617	+	8.14325i	0.510566	+	0.589225i	0.951244	−	0.308441i	$-0.0998071\pi$
$191$	7.05617	+	8.14325i	0.510566	+	0.589225i	−0.440677	+	0.897666i	$0.645262\pi$
$192$	0.142315	+	0.989821i	0.0102707	+	0.0714342i
$193$	−2.93845	−	0.862807i	−0.211514	−	0.0621062i	0.174259	−	0.984700i	$-0.444247\pi$
$193$	−2.93845	−	0.862807i	−0.211514	−	0.0621062i	−0.385773	+	0.922594i	$0.626065\pi$
$194$	2.77290	−	3.20010i	0.199083	−	0.229754i
$195$	2.13103	+	1.36953i	0.152606	+	0.0980740i
$196$	0.841254	+	0.540641i	0.0600895	+	0.0386172i
$197$	5.49683	−	6.34368i	0.391633	−	0.451968i	−0.525355	−	0.850883i	$-0.676068\pi$
$197$	5.49683	−	6.34368i	0.391633	−	0.451968i	0.916988	+	0.398915i	$0.130613\pi$
$198$	−2.53916	−	0.745564i	−0.180450	−	0.0529849i
$199$	0.486156	+	3.38129i	0.0344627	+	0.239693i	0.999771	−	0.0214213i	$-0.00681913\pi$
$199$	0.486156	+	3.38129i	0.0344627	+	0.239693i	−0.965308	+	0.261114i	$0.915910\pi$
$200$	0.704613	+	0.813167i	0.0498237	+	0.0574996i
$201$	0.169964	+	0.372169i	0.0119883	+	0.0262508i
$202$	−7.50662	+	2.20414i	−0.528164	+	0.155083i
$203$	2.11304	−	4.62691i	0.148306	−	0.324745i
$204$	−0.222435	+	1.54707i	−0.0155736	+	0.108316i
$205$	−11.5007	+	7.39102i	−0.803241	+	0.516211i
$206$	12.1668			0.847699
$207$	−3.84861	+	2.86150i	−0.267497	+	0.198888i
$208$	1.02767			0.0712562
$209$	−14.8226	+	9.52590i	−1.02530	+	0.658920i
$210$	0.350799	−	2.43986i	0.0242074	−	0.168366i
$211$	−2.34910	+	5.14380i	−0.161718	+	0.354114i	−0.973093	−	0.230413i	$-0.925992\pi$
$211$	−2.34910	+	5.14380i	−0.161718	+	0.354114i	0.811375	+	0.584526i	$0.198720\pi$
$212$	−1.43082	+	0.420128i	−0.0982694	+	0.0288545i
$213$	−3.60814	−	7.90073i	−0.247226	−	0.541349i
$214$	6.83074	+	7.88309i	0.466939	+	0.538877i
$215$	0.979528	+	6.81276i	0.0668032	+	0.464627i
$216$	−0.959493	−	0.281733i	−0.0652852	−	0.0191695i
$217$	−3.33108	+	3.84427i	−0.226128	+	0.260966i
$218$	0.446108	+	0.286696i	0.0302143	+	0.0194175i
$219$	−2.09619	−	1.34714i	−0.141647	−	0.0910312i
$220$	−4.27174	+	4.92985i	−0.288000	+	0.332370i
$221$	1.54116	+	0.452527i	0.103670	+	0.0304402i
$222$	−1.44549	−	10.0536i	−0.0970150	−	0.674754i
$223$	−14.8283	−	17.1128i	−0.992978	−	1.14596i	−0.989290	−	0.145964i	$-0.953372\pi$
$223$	−14.8283	−	17.1128i	−0.992978	−	1.14596i	−0.00368782	−	0.999993i	$-0.501174\pi$
$224$	−0.415415	−	0.909632i	−0.0277561	−	0.0607773i
$225$	−1.03239	+	0.303137i	−0.0688259	+	0.0202091i
$226$	2.81178	−	6.15694i	0.187037	−	0.409553i
$227$	−0.134291	+	0.934012i	−0.00891318	+	0.0619926i	−0.993793	−	0.111249i	$-0.964515\pi$
$227$	−0.134291	+	0.934012i	−0.00891318	+	0.0619926i	0.984879	+	0.173241i	$0.0554241\pi$
$228$	−5.60114	+	3.59963i	−0.370945	+	0.238392i
$229$	20.4376			1.35055			0.675276	−	0.737565i	$-0.264025\pi$
$229$	20.4376			1.35055			0.675276	+	0.737565i	$0.264025\pi$
$230$	2.47516	+	11.5595i	0.163207	+	0.762208i
$231$	2.64635			0.174117
$232$	−4.27910	+	2.75001i	−0.280937	+	0.180547i
$233$	−3.69112	+	25.6723i	−0.241813	+	1.68185i	0.401198	+	0.915991i	$0.368594\pi$
$233$	−3.69112	+	25.6723i	−0.241813	+	1.68185i	−0.643011	+	0.765857i	$0.722315\pi$
$234$	−0.426910	+	0.934803i	−0.0279080	+	0.0611100i
$235$	20.4438	−	6.00285i	1.33361	−	0.391583i
$236$	0.110534	+	0.242036i	0.00719515	+	0.0157552i
$237$	7.23402	+	8.34851i	0.469900	+	0.542294i
$238$	−0.222435	−	1.54707i	−0.0144183	−	0.100282i
$239$	−8.92358	−	2.62020i	−0.577219	−	0.169487i	−0.0199240	−	0.999801i	$-0.506342\pi$
$239$	−8.92358	−	2.62020i	−0.577219	−	0.169487i	−0.557295	+	0.830315i	$0.688161\pi$
$240$	−1.61420	+	1.86288i	−0.104196	+	0.120249i
$241$	10.0472	+	6.45694i	0.647197	+	0.415928i	0.822641	−	0.568561i	$-0.192500\pi$
$241$	10.0472	+	6.45694i	0.647197	+	0.415928i	−0.175444	+	0.984489i	$0.556136\pi$
$242$	3.36234	+	2.16084i	0.216139	+	0.138904i
$243$	0.654861	−	0.755750i	0.0420093	−	0.0484814i
$244$	−12.8327	−	3.76803i	−0.821530	−	0.241223i
$245$	0.350799	+	2.43986i	0.0224117	+	0.155877i
$246$	−3.63192	−	4.19146i	−0.231563	−	0.267238i
$247$	2.84241	+	6.22400i	0.180858	+	0.396024i
$248$	4.88065	−	1.43309i	0.309922	−	0.0910013i
$249$	6.31276	−	13.8230i	0.400055	−	0.875998i
$250$	1.37654	−	9.57407i	0.0870603	−	0.605518i
$251$	−19.8537	+	12.7592i	−1.25315	+	0.805352i	−0.987331	−	0.158671i	$-0.949279\pi$
$251$	−19.8537	+	12.7592i	−1.25315	+	0.805352i	−0.265820	+	0.964023i	$0.585643\pi$
$252$	1.00000			0.0629941
$253$	−11.9057	+	4.39641i	−0.748502	+	0.276400i
$254$	−2.56267			−0.160796
$255$	−3.24106	+	2.08291i	−0.202963	+	0.130437i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−9.43049	+	20.6499i	−0.588258	+	1.28811i	0.348231	+	0.937409i	$0.386782\pi$
$257$	−9.43049	+	20.6499i	−0.588258	+	1.28811i	−0.936489	+	0.350697i	$0.885945\pi$
$258$	−2.67917	+	0.786675i	−0.166798	+	0.0489763i
$259$	4.21937	+	9.23913i	0.262179	+	0.574092i
$260$	1.65887	+	1.91443i	0.102879	+	0.118728i
$261$	−0.723895	−	5.03480i	−0.0448080	−	0.311646i
$262$	−3.93749	−	1.15615i	−0.243259	−	0.0714273i
$263$	−2.95647	+	3.41195i	−0.182304	+	0.210390i	−0.839545	−	0.543291i	$-0.817178\pi$
$263$	−2.95647	+	3.41195i	−0.182304	+	0.210390i	0.657241	+	0.753681i	$0.271724\pi$
$264$	−2.22625	−	1.43073i	−0.137016	−	0.0880551i
$265$	−3.09228	−	1.98729i	−0.189957	−	0.122078i
$266$	4.36012	−	5.03185i	0.267336	−	0.308522i
$267$	−8.28335	−	2.43221i	−0.506932	−	0.148849i
$268$	0.0582271	+	0.404978i	0.00355678	+	0.0247380i
$269$	−2.49379	−	2.87799i	−0.152049	−	0.175474i	0.674615	−	0.738170i	$-0.264310\pi$
$269$	−2.49379	−	2.87799i	−0.152049	−	0.175474i	−0.826664	+	0.562696i	$0.809764\pi$
$270$	−1.02398	−	2.24220i	−0.0623172	−	0.136456i
$271$	6.00295	−	1.76263i	0.364653	−	0.107072i	−0.0942726	−	0.995546i	$-0.530053\pi$
$271$	6.00295	−	1.76263i	0.364653	−	0.107072i	0.458926	+	0.888475i	$0.348234\pi$
$272$	−0.649284	+	1.42173i	−0.0393686	+	0.0862053i
$273$	0.146253	−	1.01721i	0.00885163	−	0.0615645i
$274$	−17.8779	+	11.4894i	−1.08004	+	0.694102i
$275$	−2.84741			−0.171705
$276$	−4.49889	+	1.66131i	−0.270802	+	0.0999992i
$277$	26.9501			1.61927			0.809637	−	0.586931i	$-0.199664\pi$
$277$	26.9501			1.61927			0.809637	+	0.586931i	$0.199664\pi$
$278$	−7.38148	+	4.74379i	−0.442712	+	0.284514i
$279$	−0.723913	+	5.03493i	−0.0433395	+	0.301433i
$280$	1.02398	−	2.24220i	0.0611943	−	0.133997i
$281$	11.0656	−	3.24915i	0.660119	−	0.193828i	0.0655203	−	0.997851i	$-0.479129\pi$
$281$	11.0656	−	3.24915i	0.660119	−	0.193828i	0.594598	+	0.804023i	$0.297311\pi$
$282$	3.59083	+	7.86282i	0.213831	+	0.468224i
$283$	15.7515	+	18.1783i	0.936332	+	1.08058i	0.996599	+	0.0824025i	$0.0262593\pi$
$283$	15.7515	+	18.1783i	0.936332	+	1.08058i	−0.0602671	+	0.998182i	$0.519195\pi$
$284$	−1.23609	−	8.59722i	−0.0733487	−	0.510151i
$285$	−15.7471	−	4.62375i	−0.932775	−	0.273887i
$286$	−1.78095	+	2.05532i	−0.105310	+	0.121534i
$287$	4.66568	+	2.99845i	0.275406	+	0.176993i
$288$	−0.841254	−	0.540641i	−0.0495713	−	0.0318576i
$289$	9.53287	−	11.0015i	0.560757	−	0.647148i
$290$	−12.0303	−	3.53240i	−0.706441	−	0.207430i
$291$	0.602609	+	4.19124i	0.0353256	+	0.245695i
$292$	−1.63174	−	1.88313i	−0.0954907	−	0.110202i
$293$	4.03377	+	8.83272i	0.235655	+	0.516013i	0.990102	−	0.140348i	$-0.0448222\pi$
$293$	4.03377	+	8.83272i	0.235655	+	0.516013i	−0.754447	+	0.656361i	$0.772095\pi$
$294$	−0.959493	+	0.281733i	−0.0559588	+	0.0164310i
$295$	−0.272461	+	0.596606i	−0.0158633	+	0.0347357i
$296$	1.44549	−	10.0536i	0.0840175	−	0.584354i
$297$	2.22625	−	1.43073i	0.129180	−	0.0830191i
$298$	15.4872			0.897150
$299$	1.03193	+	4.81930i	0.0596780	+	0.278707i
$300$	−1.07597			−0.0621214
$301$	2.34901	−	1.50962i	0.135395	−	0.0870130i
$302$	−1.43560	+	9.98484i	−0.0826097	+	0.574563i
$303$	3.25001	−	7.11653i	0.186708	−	0.408834i
$304$	−6.38839	+	1.87580i	−0.366399	+	0.107585i
$305$	−13.6952	−	29.9882i	−0.784182	−	1.71712i
$306$	−1.02353	−	1.18122i	−0.0585115	−	0.0675258i
$307$	0.0510930	+	0.355359i	0.00291603	+	0.0202814i	0.991228	−	0.132167i	$-0.0421934\pi$
$307$	0.0510930	+	0.355359i	0.00291603	+	0.0202814i	−0.988311	+	0.152448i	$0.951284\pi$
$308$	2.53916	+	0.745564i	0.144682	+	0.0424824i
$309$	−7.96754	+	9.19503i	−0.453257	+	0.523087i
$310$	10.5480	+	6.77880i	0.599087	+	0.385010i
$311$	−10.8807	−	6.99262i	−0.616989	−	0.396515i	0.194483	−	0.980906i	$-0.437697\pi$
$311$	−10.8807	−	6.99262i	−0.616989	−	0.396515i	−0.811472	+	0.584391i	$0.801333\pi$
$312$	−0.672982	+	0.776663i	−0.0381001	+	0.0439699i
$313$	−2.15597	−	0.633051i	−0.121863	−	0.0357821i	0.220233	−	0.975447i	$-0.429318\pi$
$313$	−2.15597	−	0.633051i	−0.121863	−	0.0357821i	−0.342095	+	0.939665i	$0.611137\pi$
$314$	−1.70412	−	11.8524i	−0.0961692	−	0.668872i
$315$	1.61420	+	1.86288i	0.0909498	+	0.104962i
$316$	4.58895	+	10.0484i	0.258149	+	0.565266i
$317$	11.0539	−	3.24573i	0.620851	−	0.182298i	0.0438451	−	0.999038i	$-0.486039\pi$
$317$	11.0539	−	3.24573i	0.620851	−	0.182298i	0.577006	+	0.816740i	$0.304221\pi$
$318$	0.619479	−	1.35647i	0.0347387	−	0.0760671i
$319$	1.91568	−	13.3239i	0.107258	−	0.745993i
$320$	−2.07365	+	1.33265i	−0.115920	+	0.0744975i
$321$	−10.4308			−0.582192
$322$	3.84861	−	2.86150i	0.214475	−	0.159465i
$323$	−10.4064			−0.579030
$324$	0.841254	−	0.540641i	0.0467363	−	0.0300356i
$325$	−0.157364	+	1.09449i	−0.00872900	+	0.0607116i
$326$	−3.56134	+	7.79824i	−0.197244	+	0.431905i
$327$	−0.508809	+	0.149400i	−0.0281372	+	0.00826183i
$328$	−2.30393	−	5.04491i	−0.127213	−	0.278559i
$329$	−5.66059	−	6.53267i	−0.312078	−	0.360158i
$330$	−0.928337	−	6.45673i	−0.0511033	−	0.355431i
$331$	2.10041	+	0.616736i	0.115449	+	0.0338989i	0.338947	−	0.940806i	$-0.389929\pi$
$331$	2.10041	+	0.616736i	0.115449	+	0.0338989i	−0.223498	+	0.974704i	$0.571748\pi$
$332$	9.95144	−	11.4846i	0.546156	−	0.630298i
$333$	8.54461	+	5.49129i	0.468242	+	0.300921i
$334$	−18.9381	−	12.1708i	−1.03625	−	0.665956i
$335$	−0.660437	+	0.762185i	−0.0360836	+	0.0416426i
$336$	0.959493	+	0.281733i	0.0523446	+	0.0153698i
$337$	3.46759	+	24.1176i	0.188892	+	1.31377i	0.834884	+	0.550426i	$0.185535\pi$
$337$	3.46759	+	24.1176i	0.188892	+	1.31377i	−0.645992	+	0.763344i	$0.723556\pi$
$338$	−7.82158	−	9.02659i	−0.425438	−	0.490982i
$339$	2.81178	+	6.15694i	0.152715	+	0.334399i
$340$	−3.69660	+	1.08542i	−0.200476	+	0.0588651i
$341$	−5.59199	+	12.2447i	−0.302823	+	0.663090i
$342$	0.947545	−	6.59032i	0.0512373	−	0.356364i
$343$	0.841254	−	0.540641i	0.0454234	−	0.0291919i
$344$	−2.79228			−0.150550
$345$	−10.3569	−	5.69923i	−0.557599	−	0.306836i
$346$	−22.2447			−1.19588
$347$	27.9709	−	17.9758i	1.50156	−	0.964991i	0.506871	−	0.862022i	$-0.330802\pi$
$347$	27.9709	−	17.9758i	1.50156	−	0.964991i	0.994685	−	0.102969i	$-0.0328344\pi$
$348$	0.723895	−	5.03480i	0.0388048	−	0.269894i
$349$	−11.5651	+	25.3241i	−0.619067	+	1.35557i	0.297129	+	0.954837i	$0.403971\pi$
$349$	−11.5651	+	25.3241i	−0.619067	+	1.35557i	−0.916196	+	0.400730i	$0.868756\pi$
$350$	1.03239	−	0.303137i	0.0551835	−	0.0162033i
$351$	−0.426910	−	0.934803i	−0.0227868	−	0.0498961i
$352$	−1.73299	−	1.99998i	−0.0923688	−	0.106599i
$353$	0.738565	+	5.13683i	0.0393098	+	0.273406i	0.999991	−	0.00424813i	$-0.00135222\pi$
$353$	0.738565	+	5.13683i	0.0393098	+	0.273406i	−0.960681	+	0.277654i	$0.910443\pi$
$354$	−0.255303	−	0.0749637i	−0.0135692	−	0.00398427i
$355$	14.0203	−	16.1803i	0.744122	−	0.858763i
$356$	−7.26258	−	4.66738i	−0.384916	−	0.247370i
$357$	1.31486	+	0.845009i	0.0695898	+	0.0447226i
$358$	0.858848	−	0.991163i	0.0453915	−	0.0523846i
$359$	6.49728	+	1.90777i	0.342913	+	0.100688i	0.448655	−	0.893705i	$-0.351903\pi$
$359$	6.49728	+	1.90777i	0.342913	+	0.100688i	−0.105741	+	0.994394i	$0.533722\pi$
$360$	−0.350799	−	2.43986i	−0.0184887	−	0.128592i
$361$	−16.5877	−	19.1432i	−0.873037	−	1.00754i
$362$	2.11788	+	4.63751i	0.111313	+	0.243742i
$363$	−3.83492	+	1.12603i	−0.201281	+	0.0591015i
$364$	0.426910	−	0.934803i	0.0223762	−	0.0489970i
$365$	0.874101	−	6.07950i	0.0457525	−	0.318216i
$366$	11.2513	−	7.23079i	0.588116	−	0.377959i
$367$	28.6273			1.49433			0.747165	−	0.664638i	$-0.231414\pi$
$367$	28.6273			1.49433			0.747165	+	0.664638i	$0.231414\pi$
$368$	−4.78470	+	0.326531i	−0.249420	+	0.0170216i
$369$	5.54610			0.288718
$370$	21.0620	−	13.5357i	1.09496	−	0.703690i
$371$	−0.212224	+	1.47605i	−0.0110181	+	0.0766327i
$372$	−2.11309	+	4.62703i	−0.109559	+	0.239900i
$373$	30.3682	−	8.91692i	1.57241	−	0.461701i	0.624707	−	0.780859i	$-0.285218\pi$
$373$	30.3682	−	8.91692i	1.57241	−	0.461701i	0.947701	+	0.319159i	$0.103400\pi$
$374$	−1.71824	−	3.76241i	−0.0888478	−	0.194550i
$375$	6.33416	+	7.31001i	0.327094	+	0.377487i
$376$	1.23016	+	8.55598i	0.0634408	+	0.441241i
$377$	−5.01559	−	1.47271i	−0.258316	−	0.0758484i
$378$	−0.654861	+	0.755750i	−0.0336824	+	0.0388716i
$379$	−1.81432	−	1.16600i	−0.0931956	−	0.0598932i	0.493213	−	0.869909i	$-0.335822\pi$
$379$	−1.81432	−	1.16600i	−0.0931956	−	0.0598932i	−0.586409	+	0.810015i	$0.699459\pi$
$380$	−13.8065	−	8.87291i	−0.708260	−	0.455171i
$381$	1.67819	−	1.93674i	0.0859765	−	0.0992221i
$382$	−10.3386	−	3.03569i	−0.528969	−	0.155319i
$383$	−3.24855	−	22.5942i	−0.165993	−	1.15451i	−0.887064	−	0.461646i	$-0.847259\pi$
$383$	−3.24855	−	22.5942i	−0.165993	−	1.15451i	0.721071	−	0.692861i	$-0.243650\pi$
$384$	−0.654861	−	0.755750i	−0.0334182	−	0.0385667i
$385$	2.70980	+	5.93364i	0.138104	+	0.302406i
$386$	2.93845	−	0.862807i	0.149563	−	0.0439157i
$387$	1.15995	−	2.53994i	0.0589638	−	0.129113i
$388$	−0.602609	+	4.19124i	−0.0305928	+	0.212778i
$389$	−13.2492	+	8.51473i	−0.671760	+	0.431714i	−0.831560	−	0.555435i	$-0.812552\pi$
$389$	−13.2492	+	8.51473i	−0.671760	+	0.431714i	0.159799	+	0.987149i	$0.448915\pi$
$390$	−2.53316			−0.128271
$391$	−7.31924	−	1.61722i	−0.370150	−	0.0817861i
$392$	−1.00000			−0.0505076
$393$	3.45227	−	2.21864i	0.174144	−	0.111916i
$394$	−1.19458	+	8.30845i	−0.0601818	+	0.418574i
$395$	−11.3115	+	24.7688i	−0.569145	+	1.24625i
$396$	2.53916	−	0.745564i	0.127597	−	0.0374660i
$397$	13.2581	+	29.0312i	0.665406	+	1.45703i	0.877398	+	0.479764i	$0.159278\pi$
$397$	13.2581	+	29.0312i	0.665406	+	1.45703i	−0.211992	+	0.977271i	$0.567995\pi$
$398$	−2.23704	−	2.58168i	−0.112133	−	0.129408i
$399$	0.947545	+	6.59032i	0.0474366	+	0.329929i
$400$	−1.03239	−	0.303137i	−0.0516195	−	0.0151568i
$401$	6.42877	−	7.41919i	0.321037	−	0.370497i	−0.572175	−	0.820131i	$-0.693900\pi$
$401$	6.42877	−	7.41919i	0.321037	−	0.370497i	0.893213	+	0.449635i	$0.148446\pi$
$402$	−0.344193	−	0.221199i	−0.0171668	−	0.0110324i
$403$	4.39762	+	2.82618i	0.219061	+	0.140782i
$404$	5.12332	−	5.91263i	0.254895	−	0.294164i
$405$	2.36510	+	0.694456i	0.117523	+	0.0345078i
$406$	0.723895	+	5.03480i	0.0359263	+	0.249873i
$407$	17.6020	+	20.3138i	0.872499	+	1.00692i
$408$	−0.649284	−	1.42173i	−0.0321444	−	0.0703863i
$409$	−6.20384	+	1.82161i	−0.306760	+	0.0900729i	−0.431490	−	0.902118i	$-0.642012\pi$
$409$	−6.20384	+	1.82161i	−0.306760	+	0.0900729i	0.124730	+	0.992191i	$0.460194\pi$
$410$	5.67908	−	12.4354i	0.280470	−	0.614143i
$411$	3.02441	−	21.0352i	0.149183	−	1.03759i
$412$	−10.2353	+	6.57785i	−0.504259	+	0.324067i
$413$	0.266081			0.0130930
$414$	1.69061	−	4.48796i	0.0830891	−	0.220571i
$415$	37.4580			1.83874
$416$	−0.864533	+	0.555601i	−0.0423872	+	0.0272406i
$417$	1.24872	−	8.68507i	0.0611503	−	0.425310i
$418$	7.31947	−	16.0274i	0.358007	−	0.783925i
$419$	26.5842	−	7.80582i	1.29872	−	0.381339i	0.441953	−	0.897038i	$-0.354286\pi$
$419$	26.5842	−	7.80582i	1.29872	−	0.381339i	0.856770	+	0.515699i	$0.172468\pi$
$420$	1.02398	+	2.24220i	0.0499650	+	0.109408i
$421$	−19.2793	−	22.2494i	−0.939613	−	1.08437i	−0.996297	−	0.0859796i	$-0.972598\pi$
$421$	−19.2793	−	22.2494i	−0.939613	−	1.08437i	0.0566834	−	0.998392i	$-0.481947\pi$
$422$	−0.804764	−	5.59726i	−0.0391753	−	0.272470i
$423$	−8.29382	−	2.43528i	−0.403259	−	0.118408i
$424$	0.976548	−	1.12700i	0.0474253	−	0.0547318i
$425$	−1.41476	−	0.909208i	−0.0686257	−	0.0441031i
$426$	7.30682	+	4.69581i	0.354017	+	0.227513i
$427$	−8.75842	+	10.1078i	−0.423850	+	0.489148i
$428$	−10.0083	−	2.93870i	−0.483769	−	0.142048i
$429$	−0.387037	−	2.69190i	−0.0186863	−	0.129966i
$430$	−4.50729	−	5.20169i	−0.217361	−	0.250848i
$431$	−7.25579	−	15.8880i	−0.349499	−	0.765296i	−0.999983	−	0.00577639i	$-0.998161\pi$
$431$	−7.25579	−	15.8880i	−0.349499	−	0.765296i	0.650484	−	0.759520i	$-0.274566\pi$
$432$	0.959493	−	0.281733i	0.0461636	−	0.0135549i
$433$	−1.02874	+	2.25263i	−0.0494381	+	0.108254i	−0.932739	−	0.360552i	$-0.882588\pi$
$433$	−1.02874	+	2.25263i	−0.0494381	+	0.108254i	0.883301	+	0.468806i	$0.155316\pi$
$434$	0.723913	−	5.03493i	0.0347489	−	0.241684i
$435$	10.5478	−	6.77863i	0.505726	−	0.325011i
$436$	−0.530290			−0.0253963
$437$	−15.2115	−	28.0750i	−0.727663	−	1.34301i
$438$	2.49174			0.119060
$439$	−10.1476	+	6.52146i	−0.484318	+	0.311252i	−0.759917	−	0.650021i	$-0.774760\pi$
$439$	−10.1476	+	6.52146i	−0.484318	+	0.311252i	0.275599	+	0.961273i	$0.411124\pi$
$440$	0.928337	−	6.45673i	0.0442567	−	0.307812i
$441$	0.415415	−	0.909632i	0.0197817	−	0.0433158i
$442$	−1.54116	+	0.452527i	−0.0733057	+	0.0215245i
$443$	−0.371350	−	0.813143i	−0.0176434	−	0.0386336i	0.900605	−	0.434638i	$-0.143124\pi$
$443$	−0.371350	−	0.813143i	−0.0176434	−	0.0386336i	−0.918249	+	0.396005i	$0.870396\pi$
$444$	6.65142	+	7.67615i	0.315662	+	0.364294i
$445$	−3.02846	−	21.0634i	−0.143563	−	0.998502i
$446$	21.7263	+	6.37940i	1.02877	+	0.302073i
$447$	−10.1420	+	11.7045i	−0.479699	+	0.553602i
$448$	0.841254	+	0.540641i	0.0397455	+	0.0255429i
$449$	14.9984	+	9.63886i	0.707816	+	0.454886i	0.844379	−	0.535746i	$-0.179969\pi$
$449$	14.9984	+	9.63886i	0.707816	+	0.454886i	−0.136563	+	0.990631i	$0.543606\pi$
$450$	0.704613	−	0.813167i	0.0332158	−	0.0383330i
$451$	14.0824	+	4.13497i	0.663115	+	0.194708i
$452$	0.963273	+	6.69971i	0.0453085	+	0.315128i
$453$	−6.60592	−	7.62363i	−0.310373	−	0.358190i
$454$	−0.391993	−	0.858344i	−0.0183971	−	0.0402841i
$455$	2.43055	−	0.713673i	0.113946	−	0.0334575i
$456$	2.76587	−	6.05641i	0.129524	−	0.283617i
$457$	−5.21219	+	36.2516i	−0.243816	+	1.69578i	0.388808	+	0.921319i	$0.372887\pi$
$457$	−5.21219	+	36.2516i	−0.243816	+	1.69578i	−0.632624	+	0.774459i	$0.718022\pi$
$458$	−17.1932	+	11.0494i	−0.803384	+	0.516303i
$459$	1.56298			0.0729535
$460$	−8.33175	−	8.38626i	−0.388470	−	0.391011i
$461$	1.83575			0.0854995			0.0427497	−	0.999086i	$-0.486388\pi$
$461$	1.83575			0.0854995			0.0427497	+	0.999086i	$0.486388\pi$
$462$	−2.22625	+	1.43073i	−0.103575	+	0.0665634i
$463$	4.23537	−	29.4577i	0.196835	−	1.36901i	−0.616563	−	0.787306i	$-0.711475\pi$
$463$	4.23537	−	29.4577i	0.196835	−	1.36901i	0.813397	−	0.581709i	$-0.197616\pi$
$464$	2.11304	−	4.62691i	0.0980954	−	0.214799i
$465$	−12.0306	+	3.53249i	−0.557904	+	0.163815i
$466$	−10.7743	−	23.5925i	−0.499111	−	1.09290i
$467$	4.96444	+	5.72927i	0.229727	+	0.265119i	0.858897	−	0.512149i	$-0.171150\pi$
$467$	4.96444	+	5.72927i	0.229727	+	0.265119i	−0.629170	+	0.777268i	$0.716605\pi$
$468$	−0.146253	−	1.01721i	−0.00676055	−	0.0470206i
$469$	0.392570	+	0.115269i	0.0181272	+	0.00532262i
$470$	−13.9531	+	16.1027i	−0.643607	+	0.742762i
$471$	10.0734	+	6.47380i	0.464159	+	0.298297i
$472$	−0.223842	−	0.143854i	−0.0103031	−	0.00662143i
$473$	4.83899	−	5.58450i	0.222497	−	0.256775i
$474$	−10.5992	−	3.11220i	−0.486837	−	0.142948i
$475$	−1.01953	−	7.09101i	−0.0467794	−	0.325358i
$476$	1.02353	+	1.18122i	0.0469135	+	0.0541411i
$477$	0.619479	+	1.35647i	0.0283640	+	0.0621085i
$478$	8.92358	−	2.62020i	0.408155	−	0.119845i
$479$	−9.74516	+	21.3389i	−0.445268	+	0.975001i	0.545333	+	0.838219i	$0.316403\pi$
$479$	−9.74516	+	21.3389i	−0.445268	+	0.975001i	−0.990601	+	0.136781i	$0.956324\pi$
$480$	0.350799	−	2.43986i	0.0160117	−	0.111364i
$481$	8.78106	−	5.64324i	0.400382	−	0.257310i
$482$	−11.9431			−0.543994
$483$	−0.357727	+	4.78247i	−0.0162771	+	0.217610i
$484$	−3.99682			−0.181674
$485$	−8.78052	+	5.64290i	−0.398703	+	0.256231i
$486$	−0.142315	+	0.989821i	−0.00645553	+	0.0448992i
$487$	−4.50734	+	9.86970i	−0.204247	+	0.447239i	−0.983840	−	0.179047i	$-0.942698\pi$
$487$	−4.50734	+	9.86970i	−0.204247	+	0.447239i	0.779593	+	0.626286i	$0.215426\pi$
$488$	12.8327	−	3.76803i	0.580910	−	0.170570i
$489$	−3.56134	−	7.79824i	−0.161049	−	0.352649i
$490$	−1.61420	−	1.86288i	−0.0729220	−	0.0841565i
$491$	−1.41519	−	9.84284i	−0.0638665	−	0.444201i	−0.996515	−	0.0834147i	$-0.973417\pi$
$491$	−1.41519	−	9.84284i	−0.0638665	−	0.444201i	0.932648	−	0.360787i	$-0.117492\pi$
$492$	5.32144	+	1.56252i	0.239909	+	0.0704437i
$493$	5.20627	−	6.00836i	0.234479	−	0.270603i
$494$	−5.75613	−	3.69924i	−0.258981	−	0.166437i
$495$	5.48760	+	3.52667i	0.246649	+	0.158512i
$496$	−3.33108	+	3.84427i	−0.149570	+	0.172613i
$497$	−8.33380	−	2.44703i	−0.373822	−	0.109764i
$498$	2.16265	+	15.0416i	0.0969109	+	0.674030i
$499$	−18.2878	−	21.1052i	−0.818675	−	0.944801i	0.180574	−	0.983561i	$-0.442204\pi$
$499$	−18.2878	−	21.1052i	−0.818675	−	0.944801i	−0.999249	+	0.0387607i	$0.987659\pi$
$500$	4.01811	+	8.79844i	0.179695	+	0.393478i
$501$	21.5999	−	6.34231i	0.965013	−	0.283353i
$502$	9.80383	−	21.4674i	0.437566	−	0.958137i
$503$	−0.360338	+	2.50621i	−0.0160667	+	0.111746i	−0.996277	−	0.0862148i	$-0.972523\pi$
$503$	−0.360338	+	2.50621i	−0.0160667	+	0.111746i	0.980210	+	0.197961i	$0.0634319\pi$
$504$	−0.841254	+	0.540641i	−0.0374724	+	0.0240821i
$505$	19.2846			0.858153
$506$	7.63880	−	10.1352i	0.339586	−	0.450564i
$507$	11.9439			0.530447
$508$	2.15586	−	1.38549i	0.0956507	−	0.0614710i
$509$	−2.20948	+	15.3673i	−0.0979334	+	0.681142i	0.880419	+	0.474196i	$0.157261\pi$
$509$	−2.20948	+	15.3673i	−0.0979334	+	0.681142i	−0.978353	+	0.206945i	$0.933648\pi$
$510$	1.60045	−	3.50450i	0.0708692	−	0.155182i
$511$	−2.39081	+	0.702005i	−0.105763	+	0.0310549i
$512$	−0.415415	−	0.909632i	−0.0183589	−	0.0402004i
$513$	4.36012	+	5.03185i	0.192504	+	0.222161i
$514$	−3.23074	−	22.4703i	−0.142502	−	0.991123i
$515$	−28.7756	−	8.44929i	−1.26801	−	0.372320i
$516$	1.82855	−	2.11026i	0.0804975	−	0.0928991i
$517$	−19.2436	−	12.3671i	−0.846334	−	0.543906i
$518$	−8.54461	−	5.49129i	−0.375429	−	0.241273i
$519$	14.5671	−	16.8114i	0.639427	−	0.737938i
$520$	−2.43055	−	0.713673i	−0.106587	−	0.0312966i
$521$	−5.56268	−	38.6893i	−0.243705	−	1.69501i	−0.633207	−	0.773982i	$-0.718262\pi$
$521$	−5.56268	−	38.6893i	−0.243705	−	1.69501i	0.389502	−	0.921026i	$-0.372647\pi$
$522$	3.33100	+	3.84418i	0.145794	+	0.168255i
$523$	−4.35159	−	9.52865i	−0.190282	−	0.416659i	0.790313	−	0.612703i	$-0.209918\pi$
$523$	−4.35159	−	9.52865i	−0.190282	−	0.416659i	−0.980595	+	0.196044i	$0.937190\pi$
$524$	3.93749	−	1.15615i	0.172010	−	0.0505068i
$525$	−0.446976	+	0.978740i	−0.0195076	+	0.0427157i
$526$	0.642503	−	4.46871i	0.0280145	−	0.194845i
$527$	−6.68830	+	4.29831i	−0.291347	+	0.187237i
$528$	2.64635			0.115168
$529$	−6.33580	−	22.1101i	−0.275469	−	0.961310i
$530$	3.67580			0.159667
$531$	0.223842	−	0.143854i	0.00971389	−	0.00624274i
$532$	−0.947545	+	6.59032i	−0.0410813	+	0.285727i
$533$	2.36769	−	5.18451i	0.102556	−	0.224566i
$534$	8.28335	−	2.43221i	0.358455	−	0.105252i
$535$	−10.6809	−	23.3880i	−0.461776	−	1.01115i
$536$	−0.267931	−	0.309209i	−0.0115729	−	0.0133558i
$537$	0.186645	+	1.29815i	0.00805435	+	0.0560192i
$538$	3.65387	+	1.07287i	0.157530	+	0.0462549i
$539$	1.73299	−	1.99998i	0.0746453	−	0.0861452i
$540$	2.07365	+	1.33265i	0.0892356	+	0.0573482i
$541$	10.9551	+	7.04041i	0.470996	+	0.302691i	0.754523	−	0.656273i	$-0.227868\pi$
$541$	10.9551	+	7.04041i	0.470996	+	0.302691i	−0.283527	+	0.958964i	$0.591505\pi$
$542$	−4.09706	+	4.72826i	−0.175984	+	0.203096i
$543$	−4.89171	−	1.43634i	−0.209923	−	0.0616390i
$544$	−0.222435	−	1.54707i	−0.00953682	−	0.0663300i
$545$	−0.855993	−	0.987869i	−0.0366667	−	0.0423156i
$546$	0.426910	+	0.934803i	0.0182701	+	0.0400059i
$547$	15.4185	−	4.52727i	0.659246	−	0.193572i	0.0650372	−	0.997883i	$-0.479283\pi$
$547$	15.4185	−	4.52727i	0.659246	−	0.193572i	0.594209	+	0.804311i	$0.297465\pi$
$548$	8.82820	−	19.3311i	0.377122	−	0.825782i
$549$	−1.90339	+	13.2383i	−0.0812345	+	0.564999i
$550$	2.39539	−	1.53942i	0.102140	−	0.0656412i
$551$	33.8669			1.44278
$552$	2.88654	−	3.82987i	0.122859	−	0.163010i
$553$	11.0467			0.469752
$554$	−22.6719	+	14.5703i	−0.963235	+	0.619034i
$555$	−3.56306	+	24.7816i	−0.151244	+	1.05192i
$556$	3.64501	−	7.98146i	0.154583	−	0.338489i
$557$	−7.51090	+	2.20540i	−0.318247	+	0.0934458i	−0.436955	−	0.899483i	$-0.643943\pi$
$557$	−7.51090	+	2.20540i	−0.318247	+	0.0934458i	0.118708	+	0.992929i	$0.462125\pi$
$558$	−2.11309	−	4.62703i	−0.0894543	−	0.195878i
$559$	−1.87915	−	2.16866i	−0.0794797	−	0.0917244i
$560$	0.350799	+	2.43986i	0.0148240	+	0.103103i
$561$	3.96864	+	1.16530i	0.167556	+	0.0491990i
$562$	−7.55235	+	8.71588i	−0.318577	+	0.367657i
$563$	−34.8502	−	22.3969i	−1.46876	−	0.943916i	−0.998101	−	0.0616027i	$-0.980379\pi$
$563$	−34.8502	−	22.3969i	−1.46876	−	0.943916i	−0.470662	−	0.882314i	$-0.655985\pi$
$564$	−7.27176	−	4.67328i	−0.306196	−	0.196780i
$565$	−10.9259	+	12.6091i	−0.459655	+	0.530470i
$566$	−23.0789	−	6.77659i	−0.970080	−	0.284841i
$567$	−0.142315	−	0.989821i	−0.00597666	−	0.0415686i
$568$	5.68788	+	6.56416i	0.238658	+	0.275426i
$569$	−16.0629	−	35.1729i	−0.673393	−	1.47453i	−0.869495	−	0.493942i	$-0.835556\pi$
$569$	−16.0629	−	35.1729i	−0.673393	−	1.47453i	0.196102	−	0.980584i	$-0.437172\pi$
$570$	15.7471	−	4.62375i	0.659571	−	0.193668i
$571$	6.49385	−	14.2195i	0.271759	−	0.595069i	−0.723716	−	0.690098i	$-0.757567\pi$
$571$	6.49385	−	14.2195i	0.271759	−	0.595069i	0.995474	+	0.0950293i	$0.0302945\pi$
$572$	0.387037	−	2.69190i	0.0161828	−	0.112554i
$573$	9.06456	−	5.82544i	0.378678	−	0.243361i
$574$	−5.54610			−0.231490
$575$	0.384904	−	5.14581i	0.0160516	−	0.214595i
$576$	1.00000			0.0416667
$577$	4.93748	−	3.17313i	0.205550	−	0.132099i	−0.433816	−	0.901001i	$-0.642833\pi$
$577$	4.93748	−	3.17313i	0.205550	−	0.132099i	0.639366	+	0.768902i	$0.279197\pi$
$578$	−2.07169	+	14.4089i	−0.0861710	+	0.599333i
$579$	−1.27221	+	2.78575i	−0.0528712	+	0.115772i
$580$	12.0303	−	3.53240i	0.499529	−	0.146675i
$581$	−6.31276	−	13.8230i	−0.261897	−	0.573475i
$582$	−2.77290	−	3.20010i	−0.114940	−	0.132648i
$583$	0.561620	+	3.90615i	0.0232599	+	0.161776i
$584$	2.39081	+	0.702005i	0.0989324	+	0.0290492i
$585$	1.65887	−	1.91443i	0.0685857	−	0.0791521i
$586$	−8.16875	−	5.24974i	−0.337448	−	0.216865i
$587$	28.8587	+	18.5464i	1.19113	+	0.765491i	0.977399	−	0.211403i	$-0.0678032\pi$
$587$	28.8587	+	18.5464i	1.19113	+	0.765491i	0.213728	+	0.976893i	$0.431440\pi$
$588$	0.654861	−	0.755750i	0.0270060	−	0.0311666i
$589$	−32.4958	−	9.54163i	−1.33897	−	0.393156i
$590$	−0.0933409	−	0.649200i	−0.00384278	−	0.0267271i
$591$	−5.49683	−	6.34368i	−0.226109	−	0.260944i
$592$	4.21937	+	9.23913i	0.173415	+	0.379726i
$593$	19.5944	−	5.75343i	0.804644	−	0.236265i	0.146553	−	0.989203i	$-0.453182\pi$
$593$	19.5944	−	5.75343i	0.804644	−	0.236265i	0.658092	+	0.752938i	$0.271364\pi$
$594$	−1.09933	+	2.40721i	−0.0451062	+	0.0987689i
$595$	−0.548291	+	3.81345i	−0.0224777	+	0.156336i
$596$	−13.0287	+	8.37302i	−0.533675	+	0.342972i
$597$	3.41606			0.139810
$598$	−3.47362	−	3.49635i	−0.142047	−	0.142976i
$599$	−8.70426			−0.355647			−0.177823	−	0.984062i	$-0.556906\pi$
$599$	−8.70426			−0.355647			−0.177823	+	0.984062i	$0.556906\pi$
$600$	0.905167	−	0.581715i	0.0369533	−	0.0237484i
$601$	3.89396	−	27.0831i	0.158838	−	1.10474i	−0.741942	−	0.670465i	$-0.766095\pi$
$601$	3.89396	−	27.0831i	0.158838	−	1.10474i	0.900779	−	0.434277i	$-0.142996\pi$
$602$	−1.15995	+	2.53994i	−0.0472762	+	0.103520i
$603$	0.392570	−	0.115269i	0.0159867	−	0.00469411i
$604$	−4.19050	−	9.17593i	−0.170509	−	0.373363i
$605$	−6.45166	−	7.44561i	−0.262297	−	0.302707i
$606$	1.11340	+	7.74390i	0.0452289	+	0.314574i
$607$	−29.2925	−	8.60104i	−1.18894	−	0.349106i	−0.373328	−	0.927699i	$-0.621784\pi$
$607$	−29.2925	−	8.60104i	−1.18894	−	0.349106i	−0.815616	+	0.578594i	$0.803602\pi$
$608$	4.36012	−	5.03185i	0.176826	−	0.204068i
$609$	−4.27910	−	2.75001i	−0.173398	−	0.111436i
$610$	27.7339	+	17.8235i	1.12291	+	0.721653i
$611$	−5.81723	+	6.71344i	−0.235340	+	0.271597i
$612$	1.49967	+	0.440342i	0.0606204	+	0.0177998i
$613$	5.29488	+	36.8267i	0.213858	+	1.48742i	0.760109	+	0.649796i	$0.225146\pi$
$613$	5.29488	+	36.8267i	0.213858	+	1.48742i	−0.546251	+	0.837622i	$0.683945\pi$
$614$	−0.235104	−	0.271324i	−0.00948802	−	0.0109498i
$615$	5.67908	+	12.4354i	0.229003	+	0.501446i
$616$	−2.53916	+	0.745564i	−0.102306	+	0.0300396i
$617$	5.16000	−	11.2988i	0.207734	−	0.454873i	−0.776873	−	0.629657i	$-0.783195\pi$
$617$	5.16000	−	11.2988i	0.207734	−	0.454873i	0.984607	+	0.174784i	$0.0559227\pi$
$618$	1.73151	−	12.0429i	0.0696516	−	0.484437i
$619$	6.01823	−	3.86768i	0.241893	−	0.155455i	−0.414078	−	0.910242i	$-0.635896\pi$
$619$	6.01823	−	3.86768i	0.241893	−	0.155455i	0.655971	+	0.754786i	$0.272259\pi$
$620$	−12.5385			−0.503557
$621$	2.28466	+	4.21667i	0.0916803	+	0.169209i
$622$	12.9339			0.518604
$623$	−7.26258	+	4.66738i	−0.290969	+	0.186994i
$624$	0.146253	−	1.01721i	0.00585480	−	0.0407211i
$625$	−12.1393	+	26.5814i	−0.485573	+	1.06326i
$626$	2.15597	−	0.633051i	0.0861700	−	0.0253018i
$627$	7.31947	+	16.0274i	0.292311	+	0.640072i
$628$	7.84151	+	9.04959i	0.312910	+	0.361118i
$629$	2.25927	+	15.7136i	0.0900830	+	0.626541i
$630$	−2.36510	−	0.694456i	−0.0942279	−	0.0276678i
$631$	22.3465	−	25.7893i	0.889602	−	1.02666i	−0.109863	−	0.993947i	$-0.535041\pi$
$631$	22.3465	−	25.7893i	0.889602	−	1.02666i	0.999465	−	0.0327084i	$-0.0104132\pi$
$632$	−9.29304	−	5.97228i	−0.369657	−	0.237564i
$633$	4.75713	+	3.05722i	0.189079	+	0.121514i
$634$	−7.54439	+	8.70669i	−0.299626	+	0.345787i
$635$	6.06098	+	1.77966i	0.240523	+	0.0706238i
$636$	0.212224	+	1.47605i	0.00841523	+	0.0585292i
$637$	−0.672982	−	0.776663i	−0.0266645	−	0.0307725i
$638$	5.59185	+	12.2444i	0.221383	+	0.484762i
$639$	−8.33380	+	2.44703i	−0.329680	+	0.0968028i
$640$	1.02398	−	2.24220i	0.0404762	−	0.0886306i
$641$	1.55878	−	10.8416i	0.0615683	−	0.428217i	−0.935603	−	0.353054i	$-0.885143\pi$
$641$	1.55878	−	10.8416i	0.0615683	−	0.428217i	0.997171	−	0.0751629i	$-0.0239477\pi$
$642$	8.77497	−	5.63933i	0.346320	−	0.222567i
$643$	−26.3129			−1.03768			−0.518840	−	0.854871i	$-0.673636\pi$
$643$	−26.3129			−1.03768			−0.518840	+	0.854871i	$0.673636\pi$
$644$	−1.69061	+	4.48796i	−0.0666195	+	0.176851i
$645$	6.88282			0.271011
$646$	8.75446	−	5.62615i	0.344439	−	0.221358i
$647$	−5.89353	+	40.9904i	−0.231699	+	1.61150i	0.459054	+	0.888408i	$0.348188\pi$
$647$	−5.89353	+	40.9904i	−0.231699	+	1.61150i	−0.690753	+	0.723091i	$0.742721\pi$
$648$	−0.415415	+	0.909632i	−0.0163190	+	0.0357337i
$649$	0.675621	−	0.198380i	0.0265204	−	0.00778711i
$650$	−0.459344	−	1.00582i	−0.0180170	−	0.0394517i
$651$	3.33108	+	3.84427i	0.130555	+	0.150669i
$652$	−1.22006	−	8.48570i	−0.0477812	−	0.332326i
$653$	−13.9065	−	4.08330i	−0.544202	−	0.159792i	−0.00193452	−	0.999998i	$-0.500616\pi$
$653$	−13.9065	−	4.08330i	−0.544202	−	0.159792i	−0.542267	+	0.840206i	$0.682434\pi$
$654$	0.347266	−	0.400766i	0.0135792	−	0.0156712i
$655$	8.50967	+	5.46883i	0.332500	+	0.213685i
$656$	4.66568	+	2.99845i	0.182164	+	0.117070i
$657$	−1.63174	+	1.88313i	−0.0636604	+	0.0734681i
$658$	8.29382	+	2.43528i	0.323327	+	0.0949373i
$659$	−2.15105	−	14.9609i	−0.0837931	−	0.582794i	−0.987853	−	0.155389i	$-0.950337\pi$
$659$	−2.15105	−	14.9609i	−0.0837931	−	0.582794i	0.904060	−	0.427405i	$-0.140572\pi$
$660$	4.27174	+	4.92985i	0.166277	+	0.191894i
$661$	5.67682	+	12.4305i	0.220803	+	0.483490i	0.987322	−	0.158731i	$-0.0507402\pi$
$661$	5.67682	+	12.4305i	0.220803	+	0.483490i	−0.766519	+	0.642221i	$0.778013\pi$
$662$	−2.10041	+	0.616736i	−0.0816347	+	0.0239701i
$663$	0.667251	−	1.46108i	0.0259139	−	0.0567435i
$664$	−2.16265	+	15.0416i	−0.0839273	+	0.583727i
$665$	−13.8065	+	8.87291i	−0.535394	+	0.344077i
$666$	−10.1570			−0.393576
$667$	23.8198	+	5.26309i	0.922307	+	0.203788i
$668$	22.5118			0.871007
$669$	−19.0489	+	12.2420i	−0.736473	+	0.473302i
$670$	0.143527	−	0.998251i	0.00554492	−	0.0385658i
$671$	−14.7030	+	32.1951i	−0.567604	+	1.24288i
$672$	−0.959493	+	0.281733i	−0.0370132	+	0.0108681i
$673$	−18.8339	−	41.2405i	−0.725994	−	1.58971i	−0.805308	−	0.592856i	$-0.798000\pi$
$673$	−18.8339	−	41.2405i	−0.725994	−	1.58971i	0.0793138	−	0.996850i	$-0.474727\pi$
$674$	−15.9561	−	18.4143i	−0.614606	−	0.709293i
$675$	0.153127	+	1.06502i	0.00589386	+	0.0409927i
$676$	11.4601	+	3.36498i	0.440772	+	0.129422i
$677$	−17.7157	+	20.4450i	−0.680871	+	0.785767i	−0.986036	−	0.166533i	$-0.946743\pi$
$677$	−17.7157	+	20.4450i	−0.680871	+	0.785767i	0.305165	+	0.952299i	$0.401288\pi$
$678$	−5.69411	−	3.65938i	−0.218681	−	0.140538i
$679$	3.56215	+	2.28926i	0.136703	+	0.0878535i
$680$	2.52296	−	2.91165i	0.0967509	−	0.111657i
$681$	0.905394	+	0.265848i	0.0346948	+	0.0101873i
$682$	−1.91573	−	13.3242i	−0.0733570	−	0.510209i
$683$	9.42601	+	10.8782i	0.360676	+	0.416243i	0.906866	−	0.421419i	$-0.138468\pi$
$683$	9.42601	+	10.8782i	0.360676	+	0.416243i	−0.546190	+	0.837661i	$0.683922\pi$
$684$	2.76587	+	6.05641i	0.105756	+	0.231573i
$685$	50.2620	−	14.7582i	1.92041	−	0.563884i
$686$	−0.415415	+	0.909632i	−0.0158606	+	0.0347299i
$687$	2.90857	−	20.2295i	0.110969	−	0.771805i
$688$	2.34901	−	1.50962i	0.0895553	−	0.0575537i
$689$	1.53249			0.0583834
$690$	11.7940	−	0.804883i	0.448992	−	0.0306414i
$691$	−30.2748			−1.15171			−0.575854	−	0.817552i	$-0.695330\pi$
$691$	−30.2748			−1.15171			−0.575854	+	0.817552i	$0.695330\pi$
$692$	18.7134	−	12.0264i	0.711376	−	0.457174i
$693$	0.376615	−	2.61942i	0.0143064	−	0.0995034i
$694$	−13.8122	+	30.2444i	−0.524302	+	1.14806i
$695$	20.7523	−	6.09343i	0.787180	−	0.231137i
$696$	2.11304	+	4.62691i	0.0800945	+	0.175383i
$697$	5.67661	+	6.55116i	0.215017	+	0.248143i
$698$	−3.96204	−	27.5566i	−0.149965	−	1.04303i
$699$	24.8857	+	7.30710i	0.941263	+	0.276380i
$700$	−0.704613	+	0.813167i	−0.0266319	+	0.0307348i
$701$	8.66656	+	5.56966i	0.327332	+	0.210363i	0.693976	−	0.719998i	$-0.255857\pi$
$701$	8.66656	+	5.56966i	0.327332	+	0.210363i	−0.366645	+	0.930361i	$0.619494\pi$
$702$	0.864533	+	0.555601i	0.0326297	+	0.0209698i
$703$	−44.2857	+	51.1085i	−1.67027	+	1.92759i
$704$	2.53916	+	0.745564i	0.0956981	+	0.0280995i
$705$	−3.03229	−	21.0900i	−0.114203	−	0.794297i
$706$	−3.39850	−	3.92208i	−0.127904	−	0.147609i
$707$	−3.25001	−	7.11653i	−0.122229	−	0.267645i
$708$	0.255303	−	0.0749637i	0.00959487	−	0.00281731i
$709$	−9.51801	+	20.8415i	−0.357456	+	0.782720i	0.642410	+	0.766361i	$0.277935\pi$
$709$	−9.51801	+	20.8415i	−0.357456	+	0.782720i	−0.999866	+	0.0163590i	$0.994793\pi$
$710$	−3.04691	+	21.1917i	−0.114348	+	0.795311i
$711$	9.29304	−	5.97228i	0.348516	−	0.223978i
$712$	8.63304			0.323537
$713$	−21.3727	−	11.7610i	−0.800414	−	0.440453i
$714$	−1.56298			−0.0584930
$715$	5.63945	−	3.62426i	0.210904	−	0.135540i
$716$	−0.186645	+	1.29815i	−0.00697527	+	0.0485141i
$717$	−3.86349	+	8.45986i	−0.144285	+	0.315939i
$718$	−6.49728	+	1.90777i	−0.242476	+	0.0711975i
$719$	−3.16863	−	6.93833i	−0.118170	−	0.258756i	0.841299	−	0.540570i	$-0.181791\pi$
$719$	−3.16863	−	6.93833i	−0.118170	−	0.258756i	−0.959469	+	0.281814i	$0.909064\pi$
$720$	1.61420	+	1.86288i	0.0601576	+	0.0694256i
$721$	1.73151	+	12.0429i	0.0644848	+	0.448502i
$722$	24.3041	+	7.13632i	0.904504	+	0.265586i
$723$	7.82108	−	9.02601i	0.290869	−	0.335681i
$724$	−4.28890	−	2.75631i	−0.159396	−	0.102437i
$725$	4.60420	+	2.95894i	0.170996	+	0.109892i
$726$	2.61736	−	3.02059i	0.0971394	−	0.112105i
$727$	−1.15820	−	0.340079i	−0.0429554	−	0.0126128i	0.260184	−	0.965559i	$-0.416217\pi$
$727$	−1.15820	−	0.340079i	−0.0429554	−	0.0126128i	−0.303140	+	0.952946i	$0.598035\pi$
$728$	0.146253	+	1.01721i	0.00542050	+	0.0377004i
$729$	−0.654861	−	0.755750i	−0.0242541	−	0.0279907i
$730$	2.55149	+	5.58698i	0.0944348	+	0.206783i
$731$	4.18748	−	1.22956i	0.154880	−	0.0454768i
$732$	−5.55596	+	12.1659i	−0.205354	+	0.449663i
$733$	−5.75824	+	40.0494i	−0.212685	+	1.47926i	0.551453	+	0.834206i	$0.314074\pi$
$733$	−5.75824	+	40.0494i	−0.212685	+	1.47926i	−0.764138	+	0.645053i	$0.776835\pi$
$734$	−24.0828	+	15.4771i	−0.888912	+	0.571269i
$735$	2.46495			0.0909210
$736$	3.84861	−	2.86150i	0.141862	−	0.105476i
$737$	1.08274			0.0398831
$738$	−4.66568	+	2.99845i	−0.171746	+	0.110374i
$739$	2.78582	−	19.3758i	0.102478	−	0.712749i	−0.872202	−	0.489146i	$-0.837309\pi$
$739$	2.78582	−	19.3758i	0.102478	−	0.712749i	0.974680	−	0.223604i	$-0.0717822\pi$
$740$	−10.4005	+	22.7740i	−0.382331	+	0.837188i
$741$	6.56517	−	1.92771i	0.241177	−	0.0708161i
$742$	−0.619479	−	1.35647i	−0.0227418	−	0.0497976i
$743$	31.1829	+	35.9870i	1.14399	+	1.32024i	0.939965	+	0.341270i	$0.110857\pi$
$743$	31.1829	+	35.9870i	1.14399	+	1.32024i	0.204026	+	0.978966i	$0.434597\pi$
$744$	−0.723913	−	5.03493i	−0.0265399	−	0.184589i
$745$	−36.6288	−	10.7552i	−1.34198	−	0.394040i
$746$	−20.7265	+	23.9197i	−0.758853	+	0.875763i
$747$	−12.7839	−	8.21572i	−0.467739	−	0.300598i
$748$	3.47958	+	2.23619i	0.127226	+	0.0817633i
$749$	−6.83074	+	7.88309i	−0.249590	+	0.288042i
$750$	−9.28072	−	2.72507i	−0.338884	−	0.0995053i
$751$	−5.56705	−	38.7197i	−0.203145	−	1.41290i	−0.794879	−	0.606768i	$-0.792466\pi$
$751$	−5.56705	−	38.7197i	−0.203145	−	1.41290i	0.591734	−	0.806133i	$-0.298444\pi$
$752$	−5.66059	−	6.53267i	−0.206420	−	0.238222i
$753$	9.80383	+	21.4674i	0.357271	+	0.782315i
$754$	5.01559	−	1.47271i	0.182657	−	0.0536329i
$755$	10.3294	−	22.6182i	0.375925	−	0.823160i
$756$	0.142315	−	0.989821i	0.00517594	−	0.0359995i
$757$	−37.7296	+	24.2473i	−1.37131	+	0.881285i	−0.998905	−	0.0467875i	$-0.985102\pi$
$757$	−37.7296	+	24.2473i	−1.37131	+	0.881285i	−0.372401	+	0.928072i	$0.621465\pi$
$758$	2.15669			0.0783346
$759$	2.65731	+	12.4102i	0.0964543	+	0.450460i
$760$	16.4118			0.595320
$761$	−21.5076	+	13.8221i	−0.779650	+	0.501050i	−0.868917	−	0.494957i	$-0.835184\pi$
$761$	−21.5076	+	13.8221i	−0.779650	+	0.501050i	0.0892677	+	0.996008i	$0.471547\pi$
$762$	−0.364706	+	2.53659i	−0.0132119	+	0.0918909i
$763$	−0.220290	+	0.482369i	−0.00797505	+	0.0174629i
$764$	10.3386	−	3.03569i	0.374037	−	0.109827i
$765$	1.60045	+	3.50450i	0.0578645	+	0.126706i
$766$	14.9482	+	17.2511i	0.540099	+	0.623308i
$767$	−0.0389151	−	0.270661i	−0.00140514	−	0.00977299i
$768$	0.959493	+	0.281733i	0.0346227	+	0.0101661i
$769$	−12.1465	+	14.0178i	−0.438014	+	0.505495i	−0.931240	−	0.364406i	$-0.881272\pi$
$769$	−12.1465	+	14.0178i	−0.438014	+	0.505495i	0.493226	+	0.869901i	$0.335817\pi$
$770$	−5.48760	−	3.52667i	−0.197759	−	0.127092i
$771$	19.0976	+	12.2733i	0.687784	+	0.442012i
$772$	−2.00551	+	2.31448i	−0.0721800	+	0.0833001i
$773$	−47.7838	−	14.0306i	−1.71866	−	0.504646i	−0.734007	−	0.679142i	$-0.762352\pi$
$773$	−47.7838	−	14.0306i	−1.71866	−	0.504646i	−0.984658	+	0.174496i	$0.944170\pi$
$774$	0.397383	+	2.76386i	0.0142836	+	0.0993448i
$775$	−3.58416	−	4.13634i	−0.128747	−	0.148582i
$776$	−1.75901	−	3.85169i	−0.0631447	−	0.138268i
$777$	9.74557	−	2.86156i	0.349620	−	0.102658i
$778$	6.54251	−	14.3261i	0.234560	−	0.513615i
$779$	−5.25518	+	36.5506i	−0.188286	+	1.30956i
$780$	2.13103	−	1.36953i	0.0763031	−	0.0490370i
$781$	−22.9852			−0.822477
$782$	7.03167	−	2.59659i	0.251452	−	0.0928539i
$783$	−5.08657			−0.181779
$784$	0.841254	−	0.540641i	0.0300448	−	0.0193086i
$785$	−4.20058	+	29.2157i	−0.149925	+	1.04275i
$786$	−1.70475	+	3.73288i	−0.0608064	+	0.133147i
$787$	30.7607	−	9.03215i	1.09650	−	0.321961i	0.317039	−	0.948412i	$-0.397311\pi$
$787$	30.7607	−	9.03215i	1.09650	−	0.321961i	0.779461	+	0.626451i	$0.215493\pi$
$788$	−3.48695	−	7.63535i	−0.124217	−	0.271998i
$789$	2.95647	+	3.41195i	0.105253	+	0.121469i
$790$	−3.87516	−	26.9523i	−0.137872	−	0.958920i
$791$	6.49443	+	1.90694i	0.230915	+	0.0678028i
$792$	−1.73299	+	1.99998i	−0.0615792	+	0.0710662i
$793$	11.5627	+	7.43088i	0.410602	+	0.263878i
$794$	−26.8489	−	17.2547i	−0.952832	−	0.612348i
$795$	−2.40714	+	2.77799i	−0.0853725	+	0.0985251i
$796$	3.27768	+	0.962415i	0.116174	+	0.0341119i
$797$	−1.35412	−	9.41813i	−0.0479655	−	0.333607i	−0.999648	−	0.0265241i	$-0.991556\pi$
$797$	−1.35412	−	9.41813i	−0.0479655	−	0.333607i	0.951683	−	0.307083i	$-0.0993530\pi$
$798$	−4.36012	−	5.03185i	−0.154347	−	0.178125i
$799$	−5.61239	−	12.2894i	−0.198552	−	0.434768i
$800$	1.03239	−	0.303137i	0.0365005	−	0.0107175i
$801$	−3.58630	+	7.85289i	−0.126716	+	0.277468i
$802$	−1.39710	+	9.71708i	−0.0493335	+	0.343122i
$803$	−5.54725	+	3.56500i	−0.195758	+	0.125806i
$804$	0.409143			0.0144293
$805$	−11.0895	+	4.09505i	−0.390855	+	0.144331i
$806$	−5.22746			−0.184129
$807$	−3.20360	+	2.05883i	−0.112772	+	0.0724742i
$808$	−1.11340	+	7.74390i	−0.0391694	+	0.272429i
$809$	−7.71411	+	16.8915i	−0.271214	+	0.593875i	−0.995408	−	0.0957206i	$-0.969484\pi$
$809$	−7.71411	+	16.8915i	−0.271214	+	0.593875i	0.724195	+	0.689596i	$0.242212\pi$
$810$	−2.36510	+	0.694456i	−0.0831012	+	0.0244007i
$811$	8.57181	+	18.7697i	0.300997	+	0.659092i	0.998337	−	0.0576490i	$-0.0183604\pi$
$811$	8.57181	+	18.7697i	0.300997	+	0.659092i	−0.697340	+	0.716741i	$0.745633\pi$
$812$	−3.33100	−	3.84418i	−0.116895	−	0.134904i
$813$	−0.890376	−	6.19270i	−0.0312268	−	0.217187i
$814$	−25.7902	−	7.57269i	−0.903946	−	0.265423i
$815$	13.8385	−	15.9704i	0.484740	−	0.559420i
$816$	1.31486	+	0.845009i	0.0460293	+	0.0295812i
$817$	15.6399	+	10.0512i	0.547172	+	0.351646i
$818$	4.23416	−	4.88649i	0.148044	−	0.170852i
$819$	−0.986044	−	0.289529i	−0.0344552	−	0.0101169i
$820$	1.94557	+	13.5317i	0.0679421	+	0.472548i
$821$	−14.0601	−	16.2262i	−0.490699	−	0.566297i	0.455353	−	0.890311i	$-0.349513\pi$
$821$	−14.0601	−	16.2262i	−0.490699	−	0.566297i	−0.946052	+	0.324014i	$0.894968\pi$
$822$	8.82820	+	19.3311i	0.307919	+	0.674248i
$823$	−40.2842	+	11.8285i	−1.40422	+	0.412316i	−0.894131	−	0.447806i	$-0.852206\pi$
$823$	−40.2842	+	11.8285i	−1.40422	+	0.412316i	−0.510089	+	0.860122i	$0.670387\pi$
$824$	5.05426	−	11.0673i	0.176073	−	0.385547i
$825$	−0.405228	+	2.81842i	−0.0141082	+	0.0981249i
$826$	−0.223842	+	0.143854i	−0.00778844	+	0.00500533i
$827$	2.38073			0.0827860			0.0413930	−	0.999143i	$-0.486820\pi$
$827$	2.38073			0.0827860			0.0413930	+	0.999143i	$0.486820\pi$
$828$	1.00414	+	4.68953i	0.0348963	+	0.162972i
$829$	5.50946			0.191351			0.0956757	−	0.995413i	$-0.469499\pi$
$829$	5.50946			0.191351			0.0956757	+	0.995413i	$0.469499\pi$
$830$	−31.5117	+	20.2513i	−1.09379	+	0.702934i
$831$	3.83540	−	26.6758i	0.133049	−	0.925373i
$832$	0.426910	−	0.934803i	0.0148005	−	0.0324085i
$833$	1.49967	−	0.440342i	0.0519603	−	0.0152569i
$834$	3.64501	+	7.98146i	0.126216	+	0.276375i
$835$	36.3385	+	41.9369i	1.25755	+	1.45129i
$836$	2.50754	+	17.4403i	0.0867250	+	0.603185i
$837$	4.88065	+	1.43309i	0.168700	+	0.0495348i
$838$	−18.1439	+	20.9392i	−0.626770	+	0.723332i
$839$	18.7127	+	12.0259i	0.646034	+	0.415181i	0.822215	−	0.569177i	$-0.192738\pi$
$839$	18.7127	+	12.0259i	0.646034	+	0.415181i	−0.176181	+	0.984358i	$0.556374\pi$
$840$	−2.07365	−	1.33265i	−0.0715476	−	0.0459809i
$841$	2.04760	−	2.36306i	0.0706069	−	0.0814847i
$842$	28.2477	+	8.29427i	0.973480	+	0.285840i
$843$	−1.64128	−	11.4154i	−0.0565288	−	0.393166i
$844$	3.70312	+	4.27362i	0.127467	+	0.147104i
$845$	12.2303	+	26.7805i	0.420734	+	0.921279i
$846$	8.29382	−	2.43528i	0.285147	−	0.0837268i
$847$	−1.66034	+	3.63564i	−0.0570499	+	0.124922i
$848$	−0.212224	+	1.47605i	−0.00728780	+	0.0506878i
$849$	20.2349	−	13.0042i	0.694460	−	0.446302i
$850$	1.68172			0.0576826
$851$	−39.0903	+	29.0643i	−1.34000	+	0.996310i
$852$	−8.68563			−0.297565
$853$	14.1887	−	9.11852i	0.485812	−	0.312212i	−0.274707	−	0.961528i	$-0.588581\pi$
$853$	14.1887	−	9.11852i	0.485812	−	0.312212i	0.760519	+	0.649316i	$0.224945\pi$
$854$	1.90339	−	13.2383i	0.0651325	−	0.453007i
$855$	−6.81773	+	14.9287i	−0.233161	+	0.510552i
$856$	10.0083	−	2.93870i	0.342077	−	0.100443i
$857$	−3.96444	−	8.68092i	−0.135423	−	0.296535i	0.829756	−	0.558127i	$-0.188480\pi$
$857$	−3.96444	−	8.68092i	−0.135423	−	0.296535i	−0.965178	+	0.261592i	$0.915752\pi$
$858$	1.78095	+	2.05532i	0.0608005	+	0.0701676i
$859$	−2.43857	−	16.9606i	−0.0832030	−	0.578689i	−0.988188	−	0.153246i	$-0.951027\pi$
$859$	−2.43857	−	16.9606i	−0.0832030	−	0.578689i	0.904985	−	0.425443i	$-0.139882\pi$
$860$	6.60402	+	1.93911i	0.225195	+	0.0661233i
$861$	3.63192	−	4.19146i	0.123776	−	0.142845i
$862$	14.6936	+	9.44303i	0.500467	+	0.321631i
$863$	−11.0874	−	7.12546i	−0.377421	−	0.242554i	0.338152	−	0.941091i	$-0.390198\pi$
$863$	−11.0874	−	7.12546i	−0.377421	−	0.242554i	−0.715573	+	0.698538i	$0.753834\pi$
$864$	−0.654861	+	0.755750i	−0.0222788	+	0.0257111i
$865$	52.6109	+	15.4479i	1.78882	+	0.525246i
$866$	−0.352430	−	2.45121i	−0.0119761	−	0.0832954i
$867$	−9.53287	−	11.0015i	−0.323753	−	0.373631i
$868$	2.11309	+	4.62703i	0.0717230	+	0.157051i
$869$	28.0492	−	8.23599i	0.951504	−	0.279387i
$870$	−5.20853	+	11.4051i	−0.176586	+	0.386669i
$871$	0.0598383	−	0.416185i	0.00202754	−	0.0141019i
$872$	0.446108	−	0.286696i	0.0151071	−	0.00970876i
$873$	4.23434			0.143311
$874$	27.9752	+	15.3942i	0.946275	+	0.520718i
$875$	9.67252			0.326991
$876$	−2.09619	+	1.34714i	−0.0708236	+	0.0455156i
$877$	−5.95667	+	41.4296i	−0.201143	+	1.39898i	0.599759	+	0.800181i	$0.295263\pi$
$877$	−5.95667	+	41.4296i	−0.201143	+	1.39898i	−0.800901	+	0.598796i	$0.795646\pi$
$878$	5.01093	−	10.9724i	0.169111	−	0.370301i
$879$	9.31688	−	2.73568i	0.314250	−	0.0922723i
$880$	2.70980	+	5.93364i	0.0913475	+	0.200023i
$881$	−18.8668	−	21.7735i	−0.635639	−	0.733566i	0.342959	−	0.939351i	$-0.388571\pi$
$881$	−18.8668	−	21.7735i	−0.635639	−	0.733566i	−0.978597	+	0.205784i	$0.934025\pi$
$882$	0.142315	+	0.989821i	0.00479199	+	0.0333290i
$883$	27.0610	+	7.94582i	0.910674	+	0.267398i	0.703325	−	0.710869i	$-0.251698\pi$
$883$	27.0610	+	7.94582i	0.910674	+	0.267398i	0.207349	+	0.978267i	$0.433516\pi$
$884$	1.05186	−	1.21391i	0.0353777	−	0.0408281i
$885$	0.551758	+	0.354593i	0.0185471	+	0.0119195i
$886$	0.752018	+	0.483292i	0.0252645	+	0.0162365i
$887$	−5.89680	+	6.80527i	−0.197995	+	0.228499i	−0.846061	−	0.533085i	$-0.821032\pi$
$887$	−5.89680	+	6.80527i	−0.197995	+	0.228499i	0.648066	+	0.761584i	$0.275578\pi$
$888$	−9.74557	−	2.86156i	−0.327040	−	0.0960276i
$889$	−0.364706	−	2.53659i	−0.0122319	−	0.0850744i
$890$	13.9354	+	16.0824i	0.467117	+	0.539082i
$891$	−1.09933	−	2.40721i	−0.0368291	−	0.0806445i
$892$	−21.7263	+	6.37940i	−0.727449	+	0.213598i
$893$	23.9081	−	52.3514i	0.800053	−	1.75187i
$894$	2.20406	−	15.3296i	0.0737148	−	0.512698i
$895$	−2.71958	+	1.74777i	−0.0909056	+	0.0584215i
$896$	−1.00000			−0.0334077
$897$	4.91710	−	0.335567i	0.164177	−	0.0112043i
$898$	−17.8286			−0.594947
$899$	21.7665	−	13.9885i	0.725953	−	0.466542i
$900$	−0.153127	+	1.06502i	−0.00510423	+	0.0355007i
$901$	−0.968232	+	2.12013i	−0.0322565	+	0.0706318i
$902$	−14.0824	+	4.13497i	−0.468893	+	0.137679i
$903$	−1.15995	−	2.53994i	−0.0386009	−	0.0845241i
$904$	−4.43249	−	5.11537i	−0.147422	−	0.170135i
$905$	−1.78845	−	12.4389i	−0.0594501	−	0.413485i
$906$	9.67890	+	2.84198i	0.321560	+	0.0944185i
$907$	21.1308	−	24.3862i	0.701637	−	0.809732i	−0.287336	−	0.957830i	$-0.592770\pi$
$907$	21.1308	−	24.3862i	0.701637	−	0.809732i	0.988973	+	0.148098i	$0.0473150\pi$
$908$	0.793821	+	0.510158i	0.0263439	+	0.0169302i
$909$	−6.58157	−	4.22972i	−0.218297	−	0.140291i
$910$	−1.65887	+	1.91443i	−0.0549909	+	0.0634629i
$911$	−38.0154	−	11.1623i	−1.25951	−	0.369824i	−0.417195	−	0.908817i	$-0.636987\pi$
$911$	−38.0154	−	11.1623i	−1.25951	−	0.369824i	−0.842310	+	0.538993i	$0.818805\pi$
$912$	0.947545	+	6.59032i	0.0313763	+	0.218227i
$913$	−26.3350	−	30.3922i	−0.871562	−	1.00584i
$914$	−15.2143	−	33.3147i	−0.503245	−	1.10195i
$915$	−31.6320	+	9.28799i	−1.04572	+	0.307051i
$916$	8.49007	−	18.5907i	0.280520	−	0.614253i
$917$	0.584021	−	4.06195i	0.0192861	−	0.134138i
$918$	−1.31486	+	0.845009i	−0.0433969	+	0.0278895i
$919$	40.3445			1.33084			0.665421	−	0.746468i	$-0.268252\pi$
$919$	40.3445			1.33084			0.665421	+	0.746468i	$0.268252\pi$
$920$	11.5431	+	2.55049i	0.380564	+	0.0840871i
$921$	0.359014			0.0118299
$922$	−1.54433	+	0.992482i	−0.0508599	+	0.0326857i
$923$	−1.27030	+	8.83513i	−0.0418124	+	0.290812i
$924$	1.09933	−	2.40721i	0.0361654	−	0.0791913i
$925$	−10.4860	+	3.07896i	−0.344777	+	0.101236i
$926$	12.3630	+	27.0712i	0.406273	+	0.889615i
$927$	7.96754	+	9.19503i	0.261688	+	0.302004i
$928$	0.723895	+	5.03480i	0.0237630	+	0.165275i
$929$	11.9692	+	3.51448i	0.392698	+	0.115306i	0.472119	−	0.881535i	$-0.343489\pi$
$929$	11.9692	+	3.51448i	0.392698	+	0.115306i	−0.0794216	+	0.996841i	$0.525307\pi$
$930$	8.21094	−	9.47593i	0.269247	−	0.310728i
$931$	5.60114	+	3.59963i	0.183570	+	0.117973i
$932$	21.8190	+	14.0222i	0.714705	+	0.459313i
$933$	−8.46993	+	9.77482i	−0.277293	+	0.320013i
$934$	−7.27382	−	2.13579i	−0.238007	−	0.0698851i
$935$	1.45097	+	10.0917i	0.0474518	+	0.330035i
$936$	0.672982	+	0.776663i	0.0219971	+	0.0253860i
$937$	−12.4454	−	27.2517i	−0.406575	−	0.890274i	−0.996561	−	0.0828610i	$-0.973594\pi$
$937$	−12.4454	−	27.2517i	−0.406575	−	0.890274i	0.589987	−	0.807413i	$-0.299133\pi$
$938$	−0.392570	+	0.115269i	−0.0128178	+	0.00376366i
$939$	−0.933434	+	2.04394i	−0.0304615	+	0.0667013i
$940$	3.03229	−	21.0900i	0.0989024	−	0.687881i
$941$	22.6076	−	14.5290i	0.736988	−	0.473633i	−0.117521	−	0.993070i	$-0.537495\pi$
$941$	22.6076	−	14.5290i	0.736988	−	0.473633i	0.854509	+	0.519437i	$0.173858\pi$
$942$	−11.9743			−0.390144
$943$	−9.37631	+	24.8907i	−0.305335	+	0.810553i
$944$	0.266081			0.00866020
$945$	2.07365	−	1.33265i	0.0674557	−	0.0433512i
$946$	−1.05161	+	7.31414i	−0.0341909	+	0.237803i
$947$	12.4932	−	27.3564i	0.405976	−	0.888964i	−0.590653	−	0.806926i	$-0.701130\pi$
$947$	12.4932	−	27.3564i	0.405976	−	0.888964i	0.996629	−	0.0820380i	$-0.0261429\pi$
$948$	10.5992	−	3.11220i	0.344246	−	0.101080i
$949$	1.06375	+	2.32929i	0.0345308	+	0.0756120i
$950$	4.69137	+	5.41414i	0.152208	+	0.175658i
$951$	−1.63955	−	11.4033i	−0.0531661	−	0.369778i
$952$	−1.49967	−	0.440342i	−0.0486045	−	0.0142716i
$953$	14.9669	−	17.2728i	0.484827	−	0.559520i	−0.459649	−	0.888101i	$-0.652025\pi$
$953$	14.9669	−	17.2728i	0.484827	−	0.559520i	0.944476	+	0.328580i	$0.106570\pi$
$954$	−1.25450	−	0.806219i	−0.0406160	−	0.0261023i
$955$	22.3437	+	14.3594i	0.723025	+	0.464660i
$956$	−6.09041	+	7.02871i	−0.196978	+	0.227325i
$957$	−12.9156	−	3.79236i	−0.417502	−	0.122590i
$958$	−3.33854	−	23.2201i	−0.107863	−	0.750207i
$959$	−13.9168	−	16.0608i	−0.449396	−	0.518631i
$960$	1.02398	+	2.24220i	0.0330487	+	0.0723666i
$961$	4.91786	−	1.44401i	0.158641	−	0.0465811i
$962$	−4.33613	+	9.49479i	−0.139802	+	0.306124i
$963$	−1.48446	+	10.3247i	−0.0478361	+	0.332707i
$964$	10.0472	−	6.45694i	0.323598	−	0.207964i
$965$	−7.54891			−0.243008
$966$	−2.28466	−	4.21667i	−0.0735077	−	0.135669i
$967$	12.3594			0.397450			0.198725	−	0.980055i	$-0.436320\pi$
$967$	12.3594			0.397450			0.198725	+	0.980055i	$0.436320\pi$
$968$	3.36234	−	2.16084i	0.108070	−	0.0694522i
$969$	−1.48099	+	10.3005i	−0.0475763	+	0.330900i
$970$	4.33586	−	9.49421i	0.139216	−	0.304841i
$971$	−16.4158	+	4.82010i	−0.526807	+	0.154684i	−0.534312	−	0.845287i	$-0.679429\pi$
$971$	−16.4158	+	4.82010i	−0.526807	+	0.154684i	0.00750504	+	0.999972i	$0.497611\pi$
$972$	−0.415415	−	0.909632i	−0.0133244	−	0.0291765i
$973$	−5.74600	−	6.63124i	−0.184208	−	0.212588i
$974$	−1.54415	−	10.7398i	−0.0494776	−	0.344124i
$975$	1.06096	+	0.311525i	0.0339778	+	0.00997679i
$976$	−8.75842	+	10.1078i	−0.280350	+	0.323541i
$977$	−12.5729	−	8.08012i	−0.402243	−	0.258506i	0.323841	−	0.946111i	$-0.395026\pi$
$977$	−12.5729	−	8.08012i	−0.402243	−	0.258506i	−0.726085	+	0.687605i	$0.758662\pi$
$978$	7.21203	+	4.63489i	0.230615	+	0.148208i
$979$	−14.9610	+	17.2659i	−0.478156	+	0.551821i
$980$	2.36510	+	0.694456i	0.0755504	+	0.0221836i
$981$	0.0754681	+	0.524892i	0.00240951	+	0.0167585i
$982$	6.51197	+	7.51522i	0.207805	+	0.239820i
$983$	15.1488	+	33.1712i	0.483171	+	1.05800i	0.981580	+	0.191054i	$0.0611905\pi$
$983$	15.1488	+	33.1712i	0.483171	+	1.05800i	−0.498409	+	0.866942i	$0.666082\pi$
$984$	−5.32144	+	1.56252i	−0.169641	+	0.0498112i
$985$	8.59515	−	18.8208i	0.273864	−	0.599679i
$986$	−1.13143	+	7.86928i	−0.0360321	+	0.250609i
$987$	−7.27176	+	4.67328i	−0.231463	+	0.148752i
$988$	6.84233			0.217684
$989$	9.43815	+	9.49990i	0.300116	+	0.302079i
$990$	−6.52312			−0.207318
$991$	−42.8793	+	27.5568i	−1.36210	+	0.875371i	−0.998422	−	0.0561515i	$-0.982117\pi$
$991$	−42.8793	+	27.5568i	−1.36210	+	0.875371i	−0.363682	+	0.931523i	$0.618481\pi$
$992$	0.723913	−	5.03493i	0.0229843	−	0.159859i
$993$	0.909378	−	1.99126i	0.0288582	−	0.0631907i
$994$	8.33380	−	2.44703i	0.264332	−	0.0776149i
$995$	3.49796	+	7.65947i	0.110893	+	0.242822i
$996$	−9.95144	−	11.4846i	−0.315323	−	0.363903i
$997$	6.61507	+	46.0088i	0.209501	+	1.45711i	0.774789	+	0.632220i	$0.217856\pi$
$997$	6.61507	+	46.0088i	0.209501	+	1.45711i	−0.565287	+	0.824894i	$0.691235\pi$
$998$	26.7950	+	7.86773i	0.848182	+	0.249049i
$999$	6.65142	−	7.67615i	0.210442	−	0.242863i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.h.127.3	✓	30
23.2	even	11	inner	966.2.q.h.715.3	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.h.127.3	✓	30	1.1	even	1	trivial
966.2.q.h.715.3	yes	30	23.2	even	11	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.36510 - 0.694456i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\)	\(q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(2.36510 - 0.694456i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-1.61420 + 1.86288i) q^{10} +(-2.22625 - 1.43073i) q^{11} +(-0.841254 - 0.540641i) q^{12} +(-0.672982 + 0.776663i) q^{13} +(0.959493 + 0.281733i) q^{14} +(-0.350799 - 2.43986i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.649284 - 1.42173i) q^{17} +(0.959493 - 0.281733i) q^{18} +(2.76587 - 6.05641i) q^{19} +(0.350799 - 2.43986i) q^{20} +(-0.841254 + 0.540641i) q^{21} +2.64635 q^{22} +(2.88654 - 3.82987i) q^{23} +1.00000 q^{24} +(0.905167 - 0.581715i) q^{25} +(0.146253 - 1.01721i) q^{26} +(-0.415415 + 0.909632i) q^{27} +(-0.959493 + 0.281733i) q^{28} +(2.11304 + 4.62691i) q^{29} +(1.61420 + 1.86288i) q^{30} +(-0.723913 - 5.03493i) q^{31} +(0.959493 + 0.281733i) q^{32} +(-1.73299 + 1.99998i) q^{33} +(1.31486 + 0.845009i) q^{34} +(-2.07365 - 1.33265i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-9.74557 - 2.86156i) q^{37} +(0.947545 + 6.59032i) q^{38} +(0.672982 + 0.776663i) q^{39} +(1.02398 + 2.24220i) q^{40} +(-5.32144 + 1.56252i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-0.397383 + 2.76386i) q^{43} +(-2.22625 + 1.43073i) q^{44} -2.46495 q^{45} +(-0.357727 + 4.78247i) q^{46} +8.64396 q^{47} +(-0.841254 + 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(-0.446976 + 0.978740i) q^{50} +(-1.49967 + 0.440342i) q^{51} +(0.426910 + 0.934803i) q^{52} +(-0.976548 - 1.12700i) q^{53} +(-0.142315 - 0.989821i) q^{54} +(-6.25889 - 1.83778i) q^{55} +(0.654861 - 0.755750i) q^{56} +(-5.60114 - 3.59963i) q^{57} +(-4.27910 - 2.75001i) q^{58} +(-0.174246 + 0.201091i) q^{59} +(-2.36510 - 0.694456i) q^{60} +(-1.90339 - 13.2383i) q^{61} +(3.33108 + 3.84427i) q^{62} +(0.415415 + 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-1.05231 + 2.30424i) q^{65} +(0.376615 - 2.61942i) q^{66} +(-0.344193 + 0.221199i) q^{67} -1.56298 q^{68} +(-3.38009 - 3.40220i) q^{69} +2.46495 q^{70} +(7.30682 - 4.69581i) q^{71} +(0.142315 - 0.989821i) q^{72} +(1.03511 - 2.26657i) q^{73} +(9.74557 - 2.86156i) q^{74} +(-0.446976 - 0.978740i) q^{75} +(-4.36012 - 5.03185i) q^{76} +(0.376615 + 2.61942i) q^{77} +(-0.986044 - 0.289529i) q^{78} +(-7.23402 + 8.34851i) q^{79} +(-2.07365 - 1.33265i) q^{80} +(0.841254 + 0.540641i) q^{81} +(3.63192 - 4.19146i) q^{82} +(14.5807 + 4.28128i) q^{83} +(0.142315 + 0.989821i) q^{84} +(-2.52296 - 2.91165i) q^{85} +(-1.15995 - 2.53994i) q^{86} +(4.88053 - 1.43305i) q^{87} +(1.09933 - 2.40721i) q^{88} +(1.22861 - 8.54517i) q^{89} +(2.07365 - 1.33265i) q^{90} +1.02767 q^{91} +(-2.28466 - 4.21667i) q^{92} -5.08670 q^{93} +(-7.27176 + 4.67328i) q^{94} +(2.33565 - 16.2448i) q^{95} +(0.415415 - 0.909632i) q^{96} +(-4.06282 + 1.19295i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(1.73299 + 1.99998i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} + 10 q^{5} - 3 q^{6} - 3 q^{7} + 3 q^{8} - 3 q^{9} + 12 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} + 3 q^{14} + q^{15} - 3 q^{16} + 13 q^{17} + 3 q^{18} - 18 q^{19} - q^{20} + 3 q^{21} + 24 q^{22} + 21 q^{23} + 30 q^{24} - 3 q^{25} + 34 q^{26} + 3 q^{27} - 3 q^{28} - 11 q^{29} - 12 q^{30} + 7 q^{31} + 3 q^{32} + 2 q^{33} - 13 q^{34} - q^{35} - 3 q^{36} + 3 q^{37} - 15 q^{38} + 12 q^{39} + q^{40} + 15 q^{41} - 3 q^{42} + 42 q^{43} + 9 q^{44} + 10 q^{45} + q^{46} + 12 q^{47} + 3 q^{48} - 3 q^{49} - 30 q^{50} + 9 q^{51} - q^{52} - 28 q^{53} - 3 q^{54} + 4 q^{55} + 3 q^{56} - 4 q^{57} - 11 q^{58} + 3 q^{59} - 10 q^{60} - 2 q^{61} + 26 q^{62} - 3 q^{63} - 3 q^{64} - 70 q^{65} - 2 q^{66} + 24 q^{67} + 2 q^{68} + q^{69} - 10 q^{70} - 3 q^{71} + 3 q^{72} - 7 q^{73} - 3 q^{74} - 30 q^{75} - 18 q^{76} - 2 q^{77} + 10 q^{78} - 32 q^{79} - q^{80} - 3 q^{81} - 26 q^{82} + 8 q^{83} + 3 q^{84} - 39 q^{85} + 35 q^{86} - 11 q^{87} + 13 q^{88} + 50 q^{89} + q^{90} + 32 q^{91} - 12 q^{92} + 4 q^{93} + 10 q^{94} + 73 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 + 10 * q^5 - 3 * q^6 - 3 * q^7 + 3 * q^8 - 3 * q^9 + 12 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 + 3 * q^14 + q^15 - 3 * q^16 + 13 * q^17 + 3 * q^18 - 18 * q^19 - q^20 + 3 * q^21 + 24 * q^22 + 21 * q^23 + 30 * q^24 - 3 * q^25 + 34 * q^26 + 3 * q^27 - 3 * q^28 - 11 * q^29 - 12 * q^30 + 7 * q^31 + 3 * q^32 + 2 * q^33 - 13 * q^34 - q^35 - 3 * q^36 + 3 * q^37 - 15 * q^38 + 12 * q^39 + q^40 + 15 * q^41 - 3 * q^42 + 42 * q^43 + 9 * q^44 + 10 * q^45 + q^46 + 12 * q^47 + 3 * q^48 - 3 * q^49 - 30 * q^50 + 9 * q^51 - q^52 - 28 * q^53 - 3 * q^54 + 4 * q^55 + 3 * q^56 - 4 * q^57 - 11 * q^58 + 3 * q^59 - 10 * q^60 - 2 * q^61 + 26 * q^62 - 3 * q^63 - 3 * q^64 - 70 * q^65 - 2 * q^66 + 24 * q^67 + 2 * q^68 + q^69 - 10 * q^70 - 3 * q^71 + 3 * q^72 - 7 * q^73 - 3 * q^74 - 30 * q^75 - 18 * q^76 - 2 * q^77 + 10 * q^78 - 32 * q^79 - q^80 - 3 * q^81 - 26 * q^82 + 8 * q^83 + 3 * q^84 - 39 * q^85 + 35 * q^86 - 11 * q^87 + 13 * q^88 + 50 * q^89 + q^90 + 32 * q^91 - 12 * q^92 + 4 * q^93 + 10 * q^94 + 73 * q^95 - 3 * q^96 + 24 * q^97 + 3 * q^98 - 2 * q^99

Introduction

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