LMFDB - Embedded newform 252.2.o.a.191.28

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			191.28
Character	$\chi$	$=$	252.191
Dual form			252.2.o.a.95.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.571896 + 1.29342i) q^{2} +(1.27532 + 1.17199i) q^{3} +(-1.34587 + 1.47940i) q^{4} +1.08703i q^{5} +(-0.786525 + 2.31978i) q^{6} +(-2.19009 - 1.48443i) q^{7} +(-2.68319 - 0.894712i) q^{8} +(0.252880 + 2.98932i) q^{9} +O(q^{10})$	\(q+(0.571896 + 1.29342i) q^{2} +(1.27532 + 1.17199i) q^{3} +(-1.34587 + 1.47940i) q^{4} +1.08703i q^{5} +(-0.786525 + 2.31978i) q^{6} +(-2.19009 - 1.48443i) q^{7} +(-2.68319 - 0.894712i) q^{8} +(0.252880 + 2.98932i) q^{9} +(-1.40598 + 0.621665i) q^{10} +1.50375 q^{11} +(-3.45026 + 0.309364i) q^{12} +(1.59238 + 2.75809i) q^{13} +(0.667488 - 3.68164i) q^{14} +(-1.27398 + 1.38630i) q^{15} +(-0.377264 - 3.98217i) q^{16} +(5.40337 - 3.11964i) q^{17} +(-3.72183 + 2.03666i) q^{18} +(-2.29977 - 1.32777i) q^{19} +(-1.60815 - 1.46300i) q^{20} +(-1.05332 - 4.45988i) q^{21} +(0.859987 + 1.94498i) q^{22} +3.25157 q^{23} +(-2.37333 - 4.28571i) q^{24} +3.81838 q^{25} +(-2.65669 + 3.63696i) q^{26} +(-3.18095 + 4.10871i) q^{27} +(5.14364 - 1.24217i) q^{28} +(-1.78455 - 1.03031i) q^{29} +(-2.52166 - 0.854973i) q^{30} +(-0.708761 - 0.409204i) q^{31} +(4.93486 - 2.76535i) q^{32} +(1.91776 + 1.76238i) q^{33} +(7.12517 + 5.20472i) q^{34} +(1.61361 - 2.38068i) q^{35} +(-4.76276 - 3.64913i) q^{36} +(-4.35941 + 7.55073i) q^{37} +(0.402140 - 3.73392i) q^{38} +(-1.20165 + 5.38370i) q^{39} +(0.972575 - 2.91669i) q^{40} +(6.57171 - 3.79418i) q^{41} +(5.16610 - 3.91298i) q^{42} +(-3.95088 - 2.28104i) q^{43} +(-2.02385 + 2.22465i) q^{44} +(-3.24947 + 0.274887i) q^{45} +(1.85956 + 4.20565i) q^{46} +(-6.81076 - 11.7966i) q^{47} +(4.18593 - 5.52069i) q^{48} +(2.59295 + 6.50205i) q^{49} +(2.18371 + 4.93876i) q^{50} +(10.5472 + 2.35416i) q^{51} +(-6.22346 - 1.35625i) q^{52} +(-0.686610 + 0.396415i) q^{53} +(-7.13347 - 1.76455i) q^{54} +1.63461i q^{55} +(4.54827 + 5.94249i) q^{56} +(-1.37681 - 4.38864i) q^{57} +(0.312047 - 2.89740i) q^{58} +(1.19637 - 2.07217i) q^{59} +(-0.336287 - 3.75052i) q^{60} +(-2.36293 - 4.09272i) q^{61} +(0.123935 - 1.15075i) q^{62} +(3.88361 - 6.92225i) q^{63} +(6.39898 + 4.80136i) q^{64} +(-2.99811 + 1.73096i) q^{65} +(-1.18274 + 3.48836i) q^{66} +(7.96329 + 4.59761i) q^{67} +(-2.65704 + 12.1924i) q^{68} +(4.14680 + 3.81081i) q^{69} +(4.00203 + 0.725576i) q^{70} +12.1795 q^{71} +(1.99606 - 8.24717i) q^{72} +(-4.02960 - 6.97947i) q^{73} +(-12.2594 - 1.32033i) q^{74} +(4.86965 + 4.47510i) q^{75} +(5.05951 - 1.61528i) q^{76} +(-3.29334 - 2.23221i) q^{77} +(-7.65060 + 1.52467i) q^{78} +(-12.4962 + 7.21470i) q^{79} +(4.32872 - 0.410095i) q^{80} +(-8.87210 + 1.51188i) q^{81} +(8.66581 + 6.33011i) q^{82} +(2.40508 - 4.16573i) q^{83} +(8.01559 + 4.44413i) q^{84} +(3.39113 + 5.87360i) q^{85} +(0.690854 - 6.41467i) q^{86} +(-1.06836 - 3.40545i) q^{87} +(-4.03484 - 1.34542i) q^{88} +(-5.90946 - 3.41183i) q^{89} +(-2.21390 - 4.04572i) q^{90} +(0.606727 - 8.40422i) q^{91} +(-4.37620 + 4.81039i) q^{92} +(-0.424315 - 1.35253i) q^{93} +(11.3629 - 15.5556i) q^{94} +(1.44332 - 2.49991i) q^{95} +(9.53448 + 2.25691i) q^{96} +(6.69603 - 11.5979i) q^{97} +(-6.92698 + 7.07227i) q^{98} +(0.380268 + 4.49519i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$-1$

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 $

$2$	0.571896	+	1.29342i	0.404391	+	0.914586i
$2$	0.571896	+	1.29342i	0.404391	+	0.914586i
$3$	1.27532	+	1.17199i	0.736306	+	0.676649i
$3$	1.27532	+	1.17199i	0.736306	+	0.676649i
$4$	−1.34587	+	1.47940i	−0.672935	+	0.739701i
$5$			1.08703i			0.486132i	0.970010	+	0.243066i	$0.0781532\pi$
$5$			1.08703i			0.486132i	−0.970010	+	0.243066i	$0.921847\pi$
$6$	−0.786525	+	2.31978i	−0.321098	+	0.947046i
$7$	−2.19009	−	1.48443i	−0.827775	−	0.561061i
$7$	−2.19009	−	1.48443i	−0.827775	−	0.561061i
$8$	−2.68319	−	0.894712i	−0.948650	−	0.316329i
$9$	0.252880	+	2.98932i	0.0842933	+	0.996441i
$10$	−1.40598	+	0.621665i	−0.444610	+	0.196588i
$11$	1.50375			0.453397			0.226699	−	0.973965i	$-0.427207\pi$
$11$	1.50375			0.453397			0.226699	+	0.973965i	$0.427207\pi$
$12$	−3.45026	+	0.309364i	−0.996004	+	0.0893058i
$13$	1.59238	+	2.75809i	0.441647	+	0.764955i	0.997812	−	0.0661167i	$-0.0210610\pi$
$13$	1.59238	+	2.75809i	0.441647	+	0.764955i	−0.556165	+	0.831072i	$0.687728\pi$
$14$	0.667488	−	3.68164i	0.178394	−	0.983959i
$15$	−1.27398	+	1.38630i	−0.328941	+	0.357942i
$16$	−0.377264	−	3.98217i	−0.0943160	−	0.995542i
$17$	5.40337	−	3.11964i	1.31051	−	0.756624i	0.328330	−	0.944563i	$-0.393514\pi$
$17$	5.40337	−	3.11964i	1.31051	−	0.756624i	0.982181	+	0.187939i	$0.0601808\pi$
$18$	−3.72183	+	2.03666i	−0.877244	+	0.480046i
$19$	−2.29977	−	1.32777i	−0.527604	−	0.304612i	0.212436	−	0.977175i	$-0.431860\pi$
$19$	−2.29977	−	1.32777i	−0.527604	−	0.304612i	−0.740040	+	0.672563i	$0.765194\pi$
$20$	−1.60815	−	1.46300i	−0.359593	−	0.327136i
$21$	−1.05332	−	4.45988i	−0.229854	−	0.973225i
$22$	0.859987	+	1.94498i	0.183350	+	0.414671i
$23$	3.25157			0.678000			0.339000	−	0.940786i	$-0.389911\pi$
$23$	3.25157			0.678000			0.339000	+	0.940786i	$0.389911\pi$
$24$	−2.37333	−	4.28571i	−0.484453	−	0.874817i
$25$	3.81838			0.763675
$26$	−2.65669	+	3.63696i	−0.521019	+	0.713266i
$27$	−3.18095	+	4.10871i	−0.612175	+	0.790722i
$28$	5.14364	−	1.24217i	0.972056	−	0.234748i
$29$	−1.78455	−	1.03031i	−0.331382	−	0.191324i	0.325072	−	0.945689i	$-0.394611\pi$
$29$	−1.78455	−	1.03031i	−0.331382	−	0.191324i	−0.656455	+	0.754365i	$0.727945\pi$
$30$	−2.52166	−	0.854973i	−0.460390	−	0.156096i
$31$	−0.708761	−	0.409204i	−0.127297	−	0.0734951i	0.434999	−	0.900431i	$-0.356749\pi$
$31$	−0.708761	−	0.409204i	−0.127297	−	0.0734951i	−0.562296	+	0.826936i	$0.690082\pi$
$32$	4.93486	−	2.76535i	0.872369	−	0.488849i
$33$	1.91776	+	1.76238i	0.333839	+	0.306791i
$34$	7.12517	+	5.20472i	1.22196	+	0.892603i
$35$	1.61361	−	2.38068i	0.272750	−	0.402408i
$36$	−4.76276	−	3.64913i	−0.793793	−	0.608189i
$37$	−4.35941	+	7.55073i	−0.716683	+	1.24133i	0.245623	+	0.969365i	$0.421007\pi$
$37$	−4.35941	+	7.55073i	−0.716683	+	1.24133i	−0.962307	+	0.271967i	$0.912326\pi$
$38$	0.402140	−	3.73392i	0.0652357	−	0.605722i
$39$	−1.20165	+	5.38370i	−0.192419	+	0.862081i
$40$	0.972575	−	2.91669i	0.153778	−	0.461169i
$41$	6.57171	−	3.79418i	1.02633	−	0.592552i	0.110398	−	0.993887i	$-0.464787\pi$
$41$	6.57171	−	3.79418i	1.02633	−	0.592552i	0.915931	+	0.401336i	$0.131454\pi$
$42$	5.16610	−	3.91298i	0.797147	−	0.603785i
$43$	−3.95088	−	2.28104i	−0.602504	−	0.347856i	0.167522	−	0.985868i	$-0.446423\pi$
$43$	−3.95088	−	2.28104i	−0.602504	−	0.347856i	−0.770026	+	0.638012i	$0.779757\pi$
$44$	−2.02385	+	2.22465i	−0.305107	+	0.335378i
$45$	−3.24947	+	0.274887i	−0.484402	+	0.0409777i
$46$	1.85956	+	4.20565i	0.274177	+	0.620089i
$47$	−6.81076	−	11.7966i	−0.993451	−	1.72071i	−0.595676	−	0.803225i	$-0.703116\pi$
$47$	−6.81076	−	11.7966i	−0.993451	−	1.72071i	−0.397775	−	0.917483i	$-0.630217\pi$
$48$	4.18593	−	5.52069i	0.604187	−	0.796843i
$49$	2.59295	+	6.50205i	0.370421	+	0.928864i
$50$	2.18371	+	4.93876i	0.308824	+	0.698447i
$51$	10.5472	+	2.35416i	1.47691	+	0.329649i
$52$	−6.22346	−	1.35625i	−0.863039	−	0.188079i
$53$	−0.686610	+	0.396415i	−0.0943132	+	0.0544517i	−0.546415	−	0.837515i	$-0.684008\pi$
$53$	−0.686610	+	0.396415i	−0.0943132	+	0.0544517i	0.452102	+	0.891966i	$0.350674\pi$
$54$	−7.13347	−	1.76455i	−0.970742	−	0.240125i
$55$			1.63461i			0.220411i
$56$	4.54827	+	5.94249i	0.607788	+	0.794099i
$57$	−1.37681	−	4.38864i	−0.182362	−	0.581290i
$58$	0.312047	−	2.89740i	0.0409738	−	0.380447i
$59$	1.19637	−	2.07217i	0.155754	−	0.269773i	−0.777579	−	0.628785i	$-0.783553\pi$
$59$	1.19637	−	2.07217i	0.155754	−	0.269773i	0.933333	+	0.359011i	$0.116886\pi$
$60$	−0.336287	−	3.75052i	−0.0434144	−	0.484190i
$61$	−2.36293	−	4.09272i	−0.302542	−	0.524019i	0.674169	−	0.738577i	$-0.264502\pi$
$61$	−2.36293	−	4.09272i	−0.302542	−	0.524019i	−0.976711	+	0.214559i	$0.931169\pi$
$62$	0.123935	−	1.15075i	0.0157397	−	0.146145i
$63$	3.88361	−	6.92225i	0.489288	−	0.872122i
$64$	6.39898	+	4.80136i	0.799872	+	0.600170i
$65$	−2.99811	+	1.73096i	−0.371870	+	0.214699i
$66$	−1.18274	+	3.48836i	−0.145585	+	0.429388i
$67$	7.96329	+	4.59761i	0.972870	+	0.561687i	0.900110	−	0.435663i	$-0.143486\pi$
$67$	7.96329	+	4.59761i	0.972870	+	0.561687i	0.0727602	+	0.997349i	$0.476819\pi$
$68$	−2.65704	+	12.1924i	−0.322213	+	1.47855i
$69$	4.14680	+	3.81081i	0.499216	+	0.458768i
$70$	4.00203	+	0.725576i	0.478334	+	0.0867229i
$71$	12.1795			1.44545			0.722723	−	0.691138i	$-0.242890\pi$
$71$	12.1795			1.44545			0.722723	+	0.691138i	$0.242890\pi$
$72$	1.99606	−	8.24717i	0.235238	−	0.971938i
$73$	−4.02960	−	6.97947i	−0.471629	−	0.816886i	0.527844	−	0.849341i	$-0.323001\pi$
$73$	−4.02960	−	6.97947i	−0.471629	−	0.816886i	−0.999473	+	0.0324557i	$0.989667\pi$
$74$	−12.2594	−	1.32033i	−1.42513	−	0.153485i
$75$	4.86965	+	4.47510i	0.562299	+	0.516740i
$76$	5.05951	−	1.61528i	0.580365	−	0.185285i
$77$	−3.29334	−	2.23221i	−0.375311	−	0.254383i
$78$	−7.65060	+	1.52467i	−0.866260	+	0.172635i
$79$	−12.4962	+	7.21470i	−1.40593	+	0.811717i	−0.994993	−	0.0999448i	$-0.968133\pi$
$79$	−12.4962	+	7.21470i	−1.40593	+	0.811717i	−0.410942	+	0.911662i	$0.634800\pi$
$80$	4.32872	−	0.410095i	0.483965	−	0.0458501i
$81$	−8.87210	+	1.51188i	−0.985789	+	0.167987i
$82$	8.66581	+	6.33011i	0.956978	+	0.699044i
$83$	2.40508	−	4.16573i	0.263992	−	0.457248i	−0.703307	−	0.710886i	$-0.748294\pi$
$83$	2.40508	−	4.16573i	0.263992	−	0.457248i	0.967299	+	0.253638i	$0.0816273\pi$
$84$	8.01559	+	4.44413i	0.874573	+	0.484894i
$85$	3.39113	+	5.87360i	0.367819	+	0.637082i
$86$	0.690854	−	6.41467i	0.0744967	−	0.691712i
$87$	−1.06836	−	3.40545i	−0.114540	−	0.365102i
$88$	−4.03484	−	1.34542i	−0.430115	−	0.143422i
$89$	−5.90946	−	3.41183i	−0.626401	−	0.361653i	0.152956	−	0.988233i	$-0.451121\pi$
$89$	−5.90946	−	3.41183i	−0.626401	−	0.361653i	−0.779357	+	0.626580i	$0.784454\pi$
$90$	−2.21390	−	4.04572i	−0.233366	−	0.426457i
$91$	0.606727	−	8.40422i	0.0636023	−	0.881002i
$92$	−4.37620	+	4.81039i	−0.456250	+	0.501518i
$93$	−0.424315	−	1.35253i	−0.0439994	−	0.140250i
$94$	11.3629	−	15.5556i	1.17199	−	1.60444i
$95$	1.44332	−	2.49991i	0.148082	−	0.256485i
$96$	9.53448	+	2.25691i	0.973109	+	0.230345i
$97$	6.69603	−	11.5979i	0.679879	−	1.17758i	−0.295139	−	0.955454i	$-0.595366\pi$
$97$	6.69603	−	11.5979i	0.679879	−	1.17758i	0.975017	−	0.222130i	$-0.0713008\pi$
$98$	−6.92698	+	7.07227i	−0.699731	+	0.714407i
$99$	0.380268	+	4.49519i	0.0382183	+	0.451784i
$100$	−5.13904	+	5.64892i	−0.513904	+	0.564892i
$101$		−	2.06177i		−	0.205154i	−0.994725	−	0.102577i	$-0.967291\pi$
$101$		−	2.06177i		−	0.205154i	0.994725	−	0.102577i	$-0.0327088\pi$
$102$	2.98699	+	14.9883i	0.295756	+	1.48406i
$103$		−	2.92865i		−	0.288568i	−0.989536	−	0.144284i	$-0.953912\pi$
$103$		−	2.92865i		−	0.288568i	0.989536	−	0.144284i	$-0.0460879\pi$
$104$	−1.80496	−	8.82518i	−0.176991	−	0.865380i
$105$	4.84800	−	1.14499i	0.473116	−	0.111740i
$106$	−0.905400	−	0.661368i	−0.0879402	−	0.0642377i
$107$	−5.47882	+	9.48960i	−0.529658	+	0.917394i	0.469744	+	0.882803i	$0.344346\pi$
$107$	−5.47882	+	9.48960i	−0.529658	+	0.917394i	−0.999402	+	0.0345915i	$0.988987\pi$
$108$	−1.79729	−	10.2357i	−0.172944	−	0.984932i
$109$	−7.27816	−	12.6061i	−0.697122	−	1.20745i	−0.969460	−	0.245248i	$-0.921130\pi$
$109$	−7.27816	−	12.6061i	−0.697122	−	1.20745i	0.272339	−	0.962201i	$-0.412203\pi$
$110$	−2.11424	+	0.934828i	−0.201585	+	0.0891323i
$111$	−14.4090	+	4.52040i	−1.36764	+	0.429057i
$112$	−5.08500	+	9.28131i	−0.480487	+	0.877002i
$113$	−13.0910	+	7.55811i	−1.23150	+	0.711008i	−0.967343	−	0.253472i	$-0.918428\pi$
$113$	−13.0910	+	7.55811i	−1.23150	+	0.711008i	−0.264158	+	0.964479i	$0.585094\pi$
$114$	4.88897	−	4.29064i	0.457894	−	0.401855i
$115$			3.53454i			0.329598i
$116$	3.92601	−	1.25340i	0.364521	−	0.116375i
$117$	−7.84213	+	5.45761i	−0.725005	+	0.504556i
$118$	3.36438	+	0.362341i	0.309717	+	0.0333562i
$119$	−16.4647	−	1.18864i	−1.50932	−	0.108962i
$120$	4.65868	−	2.57987i	0.425277	−	0.235508i
$121$	−8.73874			−0.794431
$122$	3.94225	−	5.39687i	0.356915	−	0.488609i
$123$	12.8278	+	2.86319i	1.15664	+	0.258165i
$124$	1.55928	−	0.497808i	0.140027	−	0.0447045i
$125$			9.58580i			0.857380i
$126$	11.1744	+	1.06433i	0.995495	+	0.0948176i
$127$			0.935305i			0.0829949i	0.999139	+	0.0414975i	$0.0132128\pi$
$127$			0.935305i			0.0829949i	−0.999139	+	0.0414975i	$0.986787\pi$
$128$	−2.55063	+	11.0224i	−0.225446	+	0.974256i
$129$	−2.36528	−	7.53945i	−0.208251	−	0.663812i
$130$	−3.95346	−	2.88789i	−0.346742	−	0.253284i
$131$	8.03944			0.702409			0.351204	−	0.936299i	$-0.385772\pi$
$131$	8.03944			0.702409			0.351204	+	0.936299i	$0.385772\pi$
$132$	−5.18832	+	0.465206i	−0.451586	+	0.0404910i
$133$	3.06571	+	6.32178i	0.265831	+	0.548168i
$134$	−1.39247	+	12.9292i	−0.120291	+	1.11691i
$135$	−4.46628	−	3.45778i	−0.384396	−	0.297598i
$136$	−17.2894	+	3.53611i	−1.48256	+	0.303219i
$137$			16.3536i			1.39718i	0.715522	+	0.698590i	$0.246189\pi$
$137$			16.3536i			1.39718i	−0.715522	+	0.698590i	$0.753811\pi$
$138$	−2.55745	+	7.54294i	−0.217704	+	0.642097i
$139$	−20.0549	+	11.5787i	−1.70104	+	0.982095i	−0.756325	+	0.654196i	$0.773007\pi$
$139$	−20.0549	+	11.5787i	−1.70104	+	0.982095i	−0.944713	+	0.327899i	$0.893659\pi$
$140$	1.35027	+	5.59126i	0.114119	+	0.472548i
$141$	5.13958	−	23.0265i	0.432830	−	1.93918i
$142$	6.96542	+	15.7533i	0.584525	+	1.32198i
$143$	2.39454	+	4.14747i	0.200242	+	0.346829i
$144$	11.8086	−	2.13477i	0.984049	−	0.177898i
$145$	1.11997	−	1.93985i	0.0930086	−	0.161096i
$146$	6.72288	−	9.20350i	0.556389	−	0.761687i
$147$	−4.31349	+	11.3311i	−0.355771	+	0.934573i
$148$	−5.30336	−	16.6116i	−0.435933	−	1.36547i
$149$		−	8.77236i		−	0.718660i	−0.933211	−	0.359330i	$-0.883005\pi$
$149$		−	8.77236i		−	0.718660i	0.933211	−	0.359330i	$-0.116995\pi$
$150$	−3.00325	+	8.85779i	−0.245214	+	0.723236i
$151$		−	9.22600i		−	0.750802i	−0.926863	−	0.375401i	$-0.877505\pi$
$151$		−	9.22600i		−	0.750802i	0.926863	−	0.375401i	$-0.122495\pi$
$152$	4.98274	+	5.62030i	0.404154	+	0.455866i
$153$	10.6920	+	15.3635i	0.864398	+	1.24207i
$154$	1.00373	−	5.53626i	0.0808832	−	0.446124i
$155$	0.444814	−	0.770441i	0.0357284	−	0.0618833i
$156$	−6.34738	−	9.02349i	−0.508197	−	0.722457i
$157$	−2.27264	+	3.93633i	−0.181377	+	0.314154i	−0.942350	−	0.334630i	$-0.891389\pi$
$157$	−2.27264	+	3.93633i	−0.181377	+	0.314154i	0.760973	+	0.648784i	$0.224722\pi$
$158$	−16.4782	−	12.0368i	−1.31093	−	0.957597i
$159$	−1.34024	−	0.299145i	−0.106288	−	0.0237237i
$160$	3.00600	+	5.36432i	0.237645	+	0.424087i
$161$	−7.12123	−	4.82673i	−0.561231	−	0.380399i
$162$	−7.02941	−	10.6107i	−0.552283	−	0.833657i
$163$	0.751164	+	0.433685i	0.0588357	+	0.0339688i	0.529129	−	0.848541i	$-0.322519\pi$
$163$	0.751164	+	0.433685i	0.0588357	+	0.0339688i	−0.470294	+	0.882510i	$0.655852\pi$
$164$	−3.23156	+	14.8287i	−0.252342	+	1.15793i
$165$	−1.91575	+	2.08465i	−0.149141	+	0.162290i
$166$	6.76349	+	0.728422i	0.524949	+	0.0565365i
$167$	−2.24779	−	3.89329i	−0.173939	−	0.301272i	0.765854	−	0.643014i	$-0.222316\pi$
$167$	−2.24779	−	3.89329i	−0.173939	−	0.301272i	−0.939794	+	0.341742i	$0.888983\pi$
$168$	−1.16404	+	12.9091i	−0.0898076	+	0.995959i
$169$	1.42864	−	2.47448i	0.109895	−	0.190345i
$170$	−5.65767	+	7.74524i	−0.433923	+	0.594033i
$171$	3.38758	−	7.21053i	0.259055	−	0.551403i
$172$	8.69196	−	2.77496i	0.662756	−	0.211588i
$173$	17.2250	−	9.94485i	1.30959	−	0.756093i	0.327563	−	0.944829i	$-0.393773\pi$
$173$	17.2250	−	9.94485i	1.30959	−	0.756093i	0.982028	+	0.188736i	$0.0604392\pi$
$174$	3.79368	−	3.32939i	0.287598	−	0.252401i
$175$	−8.36257	−	5.66810i	−0.632151	−	0.428468i
$176$	−0.567310	−	5.98818i	−0.0427626	−	0.451376i
$177$	3.95431	−	1.24055i	0.297224	−	0.0932453i
$178$	1.03333	−	9.59462i	0.0774515	−	0.719147i
$179$	1.85338	+	3.21014i	0.138528	+	0.239937i	0.926940	−	0.375211i	$-0.122430\pi$
$179$	1.85338	+	3.21014i	0.138528	+	0.239937i	−0.788412	+	0.615148i	$0.789096\pi$
$180$	3.96670	−	5.17723i	0.295660	−	0.385888i
$181$	−20.5160			−1.52494			−0.762470	−	0.647024i	$-0.776013\pi$
$181$	−20.5160			−1.52494			−0.762470	+	0.647024i	$0.776013\pi$
$182$	11.2172	−	4.02158i	0.831472	−	0.298100i
$183$	1.78313	−	7.98885i	0.131813	−	0.590553i
$184$	−8.72458	−	2.90922i	−0.643185	−	0.214471i
$185$	−8.20783	−	4.73879i	−0.603452	−	0.348403i
$186$	1.50672	−	1.32232i	0.110478	−	0.0969573i
$187$	8.12531	−	4.69115i	0.594182	−	0.343051i
$188$	26.6183	+	5.80082i	1.94134	+	0.423068i
$189$	13.0656	−	4.27654i	0.950386	−	0.311073i
$190$	4.05886	+	0.437136i	0.294461	+	0.0317132i
$191$	8.17527	+	14.1600i	0.591541	+	1.02458i	0.994025	+	0.109153i	$0.0348137\pi$
$191$	8.17527	+	14.1600i	0.591541	+	1.02458i	−0.402484	+	0.915427i	$0.631853\pi$
$192$	2.53360	+	13.6228i	0.182847	+	0.983141i
$193$	5.75403	−	9.96628i	0.414184	−	0.717388i	−0.581158	−	0.813791i	$-0.697400\pi$
$193$	5.75403	−	9.96628i	0.414184	−	0.717388i	0.995342	+	0.0964023i	$0.0307335\pi$
$194$	18.8303	+	2.02801i	1.35194	+	0.145603i
$195$	−5.85221	−	1.30623i	−0.419086	−	0.0935409i
$196$	−13.1089	−	4.91490i	−0.936351	−	0.351064i
$197$			11.6386i			0.829217i	0.910000	+	0.414608i	$0.136081\pi$
$197$			11.6386i			0.829217i	−0.910000	+	0.414608i	$0.863919\pi$
$198$	−5.59669	+	3.06262i	−0.397740	+	0.217651i
$199$	−14.1464	+	8.16741i	−1.00281	+	0.578972i	−0.909078	−	0.416625i	$-0.863213\pi$
$199$	−14.1464	+	8.16741i	−1.00281	+	0.578972i	−0.0937311	+	0.995598i	$0.529879\pi$
$200$	−10.2454	−	3.41635i	−0.724460	−	0.241572i
$201$	4.76739	+	15.1963i	0.336266	+	1.07186i
$202$	2.66674	−	1.17912i	0.187631	−	0.0829626i
$203$	2.37889	+	4.90550i	0.166966	+	0.344299i
$204$	−17.6779	+	12.4352i	−1.23770	+	0.870637i
$205$	4.12437	+	7.14362i	0.288059	+	0.498932i
$206$	3.78797	−	1.67488i	0.263920	−	0.116694i
$207$	0.822257	+	9.72001i	0.0571508	+	0.675587i
$208$	10.3824	−	7.38166i	0.719891	−	0.511826i
$209$	−3.45828	−	1.99664i	−0.239214	−	0.138110i
$210$	4.25350	+	5.61568i	0.293520	+	0.387519i
$211$	19.4336	−	11.2200i	1.33786	−	0.772416i	0.351373	−	0.936235i	$-0.385715\pi$
$211$	19.4336	−	11.2200i	1.33786	−	0.772416i	0.986490	+	0.163820i	$0.0523815\pi$
$212$	0.337632	−	1.54930i	0.0231887	−	0.106406i
$213$	15.5328	+	14.2743i	1.06429	+	0.978058i
$214$	−15.4074	−	1.65936i	−1.05323	−	0.113431i
$215$	2.47955	−	4.29471i	0.169104	−	0.292897i
$216$	12.2112	−	8.17841i	0.830868	−	0.556470i
$217$	0.944815	+	1.94830i	0.0641382	+	0.132259i
$218$	12.1427	−	16.6231i	0.822407	−	1.12586i
$219$	3.04084	−	13.6237i	0.205481	−	0.920605i
$220$	−2.41825	−	2.19998i	−0.163038	−	0.148322i
$221$	17.2085	+	9.93531i	1.15757	+	0.668322i
$222$	−14.0872	−	16.0517i	−0.945473	−	1.07732i
$223$	15.3730	+	8.87563i	1.02946	+	0.594356i	0.916829	−	0.399281i	$-0.130740\pi$
$223$	15.3730	+	8.87563i	1.02946	+	0.594356i	0.112627	+	0.993637i	$0.464074\pi$
$224$	−14.9127	−	1.26910i	−0.996398	−	0.0847953i
$225$	0.965590	+	11.4144i	0.0643727	+	0.760957i
$226$	−17.2625	−	12.6098i	−1.14829	−	0.838789i
$227$	13.3878			0.888577			0.444288	−	0.895884i	$-0.353457\pi$
$227$	13.3878			0.888577			0.444288	+	0.895884i	$0.353457\pi$
$228$	8.34558	+	3.86970i	0.552699	+	0.256277i
$229$	−13.0713			−0.863774			−0.431887	−	0.901928i	$-0.642152\pi$
$229$	−13.0713			−0.863774			−0.431887	+	0.901928i	$0.642152\pi$
$230$	−4.57165	+	2.02139i	−0.301446	+	0.133286i
$231$	−1.58394	−	6.70653i	−0.104215	−	0.441257i
$232$	3.86645	+	4.36117i	0.253845	+	0.286325i
$233$	5.07304	+	2.92892i	0.332346	+	0.191880i	0.656882	−	0.753993i	$-0.271875\pi$
$233$	5.07304	+	2.92892i	0.332346	+	0.191880i	−0.324536	+	0.945873i	$0.605208\pi$
$234$	−11.5439	−	7.02198i	−0.754646	−	0.459041i
$235$	12.8232	−	7.40346i	0.836492	−	0.482949i
$236$	1.45542	+	4.55878i	0.0947396	+	0.296751i
$237$	−24.3922	−	5.44440i	−1.58445	−	0.353652i
$238$	−7.87870	−	21.9756i	−0.510700	−	1.42447i
$239$	−4.28685	−	7.42504i	−0.277293	−	0.480286i	0.693418	−	0.720536i	$-0.256104\pi$
$239$	−4.28685	−	7.42504i	−0.277293	−	0.480286i	−0.970711	+	0.240250i	$0.922771\pi$
$240$	6.00113	+	4.55021i	0.387371	+	0.293715i
$241$	2.77555			0.178789			0.0893945	−	0.995996i	$-0.471507\pi$
$241$	2.77555			0.178789			0.0893945	+	0.995996i	$0.471507\pi$
$242$	−4.99765	−	11.3029i	−0.321261	−	0.726576i
$243$	−13.0867	−	8.46989i	−0.839510	−	0.543343i
$244$	9.23497	+	2.01254i	0.591209	+	0.128840i
$245$	−7.06789	+	2.81860i	−0.451551	+	0.180074i
$246$	3.63284	+	18.2292i	0.231622	+	1.16225i
$247$		−	8.45729i		−	0.538125i
$248$	1.53562	+	1.73211i	0.0975119	+	0.109989i
$249$	7.94944	−	2.49390i	0.503775	−	0.158045i
$250$	−12.3985	+	5.48208i	−0.784147	+	0.346717i
$251$	−5.34591			−0.337431			−0.168716	−	0.985665i	$-0.553962\pi$
$251$	−5.34591			−0.337431			−0.168716	+	0.985665i	$0.553962\pi$
$252$	5.01397	+	15.0619i	0.315850	+	0.948809i
$253$	4.88955			0.307403
$254$	−1.20974	+	0.534897i	−0.0759060	+	0.0335624i
$255$	−2.55903	+	11.4651i	−0.160253	+	0.717972i
$256$	−15.7153	+	3.00466i	−0.982209	+	0.187791i
$257$			2.19992i			0.137227i	0.997643	+	0.0686135i	$0.0218575\pi$
$257$			2.19992i			0.137227i	−0.997643	+	0.0686135i	$0.978142\pi$
$258$	8.39899	−	7.37108i	0.522898	−	0.458903i
$259$	20.7560	−	10.0655i	1.28972	−	0.625440i
$260$	1.47428	−	6.76506i	0.0914311	−	0.419551i
$261$	2.62865	−	5.59514i	0.162709	−	0.346330i
$262$	4.59772	+	10.3984i	0.284048	+	0.642413i
$263$	−6.25322			−0.385590			−0.192795	−	0.981239i	$-0.561755\pi$
$263$	−6.25322			−0.385590			−0.192795	+	0.981239i	$0.561755\pi$
$264$	−3.56889	−	6.44463i	−0.219650	−	0.396640i
$265$	−0.430913	−	0.746363i	−0.0264708	−	0.0458487i
$266$	−6.42345	+	7.58065i	−0.393847	+	0.464800i
$267$	−3.53782	−	11.2770i	−0.216511	−	0.690141i
$268$	−17.5193	+	5.59312i	−1.07016	+	0.341654i
$269$	7.71725	−	4.45555i	0.470529	−	0.271660i	−0.245932	−	0.969287i	$-0.579094\pi$
$269$	7.71725	−	4.45555i	0.470529	−	0.271660i	0.716461	+	0.697627i	$0.245761\pi$
$270$	1.91811	−	7.75426i	0.116733	−	0.471909i
$271$	2.17320	+	1.25470i	0.132013	+	0.0762175i	0.564552	−	0.825398i	$-0.309049\pi$
$271$	2.17320	+	1.25470i	0.132013	+	0.0762175i	−0.432539	+	0.901615i	$0.642382\pi$
$272$	−14.4614	−	20.3402i	−0.876853	−	1.23331i
$273$	10.6234	−	10.0070i	0.642959	−	0.605650i
$274$	−21.1520	+	9.35254i	−1.27784	+	0.565008i
$275$	5.74188			0.346248
$276$	−11.2188	+	1.00592i	−0.675291	+	0.0605493i
$277$	29.5996			1.77847			0.889233	−	0.457454i	$-0.151238\pi$
$277$	29.5996			1.77847			0.889233	+	0.457454i	$0.151238\pi$
$278$	−26.4455	−	19.3176i	−1.58610	−	1.15860i
$279$	1.04401	−	2.22220i	0.0625032	−	0.133039i
$280$	−6.45964	+	4.94409i	−0.386037	+	0.295466i
$281$	−21.1188	−	12.1929i	−1.25984	−	0.727370i	−0.286798	−	0.957991i	$-0.592591\pi$
$281$	−21.1188	−	12.1929i	−1.25984	−	0.727370i	−0.973044	+	0.230621i	$0.925924\pi$
$282$	32.7223	−	6.52115i	1.94858	−	0.388329i
$283$	13.2134	+	7.62875i	0.785454	+	0.453482i	0.838360	−	0.545117i	$-0.183515\pi$
$283$	13.2134	+	7.62875i	0.785454	+	0.453482i	−0.0529054	+	0.998600i	$0.516848\pi$
$284$	−16.3921	+	18.0184i	−0.972691	+	1.06920i
$285$	4.77057	−	1.49662i	0.282584	−	0.0886523i
$286$	−3.99499	+	5.46907i	−0.236229	+	0.323393i
$287$	−20.0248	−	1.44565i	−1.18203	−	0.0853342i
$288$	9.51444	+	14.0526i	0.560644	+	0.828057i
$289$	10.9643	−	18.9907i	0.644959	−	1.11710i
$290$	3.14955	+	0.339203i	0.184948	+	0.0199187i
$291$	22.1321	−	6.94330i	1.29741	−	0.407023i
$292$	15.7488	+	3.43207i	0.921627	+	0.200847i
$293$	10.4046	−	6.00710i	0.607843	−	0.350939i	−0.164278	−	0.986414i	$-0.552529\pi$
$293$	10.4046	−	6.00710i	0.607843	−	0.350939i	0.772121	+	0.635476i	$0.219196\pi$
$294$	−17.1227	+	0.901047i	−0.998618	+	0.0525501i
$295$	2.25250	+	1.30048i	0.131146	+	0.0757170i
$296$	18.4529	−	16.3596i	1.07255	−	0.950882i
$297$	−4.78335	+	6.17847i	−0.277558	+	0.358511i
$298$	11.3463	−	5.01687i	0.657276	−	0.290620i
$299$	5.17775	+	8.96812i	0.299437	+	0.518640i
$300$	−13.1744	+	1.18127i	−0.760624	+	0.0682006i
$301$	5.26673	+	10.8605i	0.303569	+	0.625988i
$302$	11.9331	−	5.27631i	0.686673	−	0.303618i
$303$	2.41638	−	2.62942i	0.138817	−	0.151056i
$304$	−4.41980	+	9.65900i	−0.253493	+	0.553982i
$305$	4.44888	−	2.56856i	0.254742	−	0.147076i
$306$	−13.7568	+	22.6156i	−0.786423	+	1.29285i
$307$			26.0671i			1.48773i	0.668330	+	0.743865i	$0.267010\pi$
$307$			26.0671i			1.48773i	−0.668330	+	0.743865i	$0.732990\pi$
$308$	7.73474	−	1.86791i	0.440728	−	0.106434i
$309$	3.43234	−	3.73496i	0.195259	−	0.212475i
$310$	1.25089	+	0.134720i	0.0710459	+	0.00765158i
$311$	−2.58935	+	4.48489i	−0.146829	+	0.254315i	−0.930054	−	0.367424i	$-0.880240\pi$
$311$	−2.58935	+	4.48489i	−0.146829	+	0.254315i	0.783225	+	0.621738i	$0.213573\pi$
$312$	8.04112	−	13.3703i	0.455239	−	0.756946i
$313$	−5.78482	−	10.0196i	−0.326977	−	0.566341i	0.654933	−	0.755687i	$-0.272697\pi$
$313$	−5.78482	−	10.0196i	−0.326977	−	0.566341i	−0.981911	+	0.189345i	$0.939363\pi$
$314$	−6.39105	−	0.688310i	−0.360668	−	0.0388436i
$315$	7.52466	+	4.22158i	0.423967	+	0.237859i
$316$	6.14486	−	28.1970i	0.345675	−	1.58620i
$317$	20.3511	−	11.7497i	1.14303	−	0.659931i	0.195854	−	0.980633i	$-0.437252\pi$
$317$	20.3511	−	11.7497i	1.14303	−	0.659931i	0.947180	+	0.320702i	$0.103919\pi$
$318$	−0.379558	−	1.90457i	−0.0212846	−	0.106803i
$319$	−2.68351	−	1.54933i	−0.150248	−	0.0867456i
$320$	−5.21920	+	6.95585i	−0.291762	+	0.388844i
$321$	−18.1090	+	5.68115i	−1.01074	+	0.317091i
$322$	2.17039	−	11.9711i	0.120951	−	0.667124i
$323$	−16.5687			−0.921907
$324$	9.70403	−	15.1602i	0.539113	−	0.842234i
$325$	6.08031	+	10.5314i	0.337275	+	0.584178i
$326$	−0.131349	+	1.21959i	−0.00727476	+	0.0675470i
$327$	5.49229	−	24.6068i	0.303725	−	1.36076i
$328$	−21.0278	+	4.30070i	−1.16107	+	0.237467i
$329$	−2.59502	+	35.9456i	−0.143068	+	1.98174i
$330$	−3.79194	−	1.28566i	−0.208739	−	0.0707735i
$331$	−13.1179	+	7.57360i	−0.721022	+	0.416283i	−0.815129	−	0.579280i	$-0.803334\pi$
$331$	−13.1179	+	7.57360i	−0.721022	+	0.416283i	0.0941064	+	0.995562i	$0.470001\pi$
$332$	2.92586	+	9.16462i	0.160577	+	0.502974i
$333$	−23.6740	−	11.1223i	−1.29733	−	0.609497i
$334$	3.75016	−	5.13389i	0.205199	−	0.280914i
$335$	−4.99771	+	8.65629i	−0.273054	+	0.472944i
$336$	−17.3626	+	5.87707i	−0.947208	+	0.320620i
$337$	13.2530	+	22.9549i	0.721938	+	1.25043i	0.960222	+	0.279238i	$0.0900817\pi$
$337$	13.2530	+	22.9549i	0.721938	+	1.25043i	−0.238284	+	0.971196i	$0.576585\pi$
$338$	4.01757	+	0.432689i	0.218527	+	0.0235352i
$339$	−25.5533	−	5.70355i	−1.38786	−	0.309774i
$340$	−13.2534	−	2.88827i	−0.718769	−	0.156638i
$341$	−1.06580	−	0.615339i	−0.0577162	−	0.0333225i
$342$	11.2636	+	0.257893i	0.609065	+	0.0139453i
$343$	3.97304	−	18.0891i	0.214524	−	0.976719i
$344$	8.56008	+	9.65537i	0.461528	+	0.520583i
$345$	−4.14245	+	4.50767i	−0.223022	+	0.242685i
$346$	22.7138	+	16.5917i	1.22110	+	0.891976i
$347$	−10.3541	+	17.9339i	−0.555839	+	0.962741i	0.441999	+	0.897015i	$0.354269\pi$
$347$	−10.3541	+	17.9339i	−0.555839	+	0.962741i	−0.997838	+	0.0657252i	$0.979064\pi$
$348$	6.47590	+	3.00276i	0.347145	+	0.160965i
$349$	−2.18348	+	3.78189i	−0.116879	+	0.202440i	−0.918529	−	0.395353i	$-0.870622\pi$
$349$	−2.18348	+	3.78189i	−0.116879	+	0.202440i	0.801650	+	0.597793i	$0.203956\pi$
$350$	2.54872	−	14.0579i	0.136235	−	0.751425i
$351$	−16.3975	−	2.23070i	−0.875233	−	0.119066i
$352$	7.42079	−	4.15838i	0.395529	−	0.221643i
$353$			3.60635i			0.191946i	0.995384	+	0.0959732i	$0.0305963\pi$
$353$			3.60635i			0.191946i	−0.995384	+	0.0959732i	$0.969404\pi$
$354$	3.86600	+	4.40512i	0.205476	+	0.234130i
$355$			13.2395i			0.702678i
$356$	13.0008	−	4.15059i	0.689043	−	0.219981i
$357$	−19.6047	−	20.8124i	−1.03759	−	1.10151i
$358$	−3.09212	+	4.23306i	−0.163424	+	0.223724i
$359$	−8.74493	+	15.1467i	−0.461540	+	0.799410i	−0.999038	−	0.0438545i	$-0.986036\pi$
$359$	−8.74493	+	15.1467i	−0.461540	+	0.799410i	0.537498	+	0.843265i	$0.319370\pi$
$360$	8.96488	+	2.16977i	0.472490	+	0.114357i
$361$	−5.97403	−	10.3473i	−0.314423	−	0.544596i
$362$	−11.7330	−	26.5358i	−0.616672	−	1.39469i
$363$	−11.1447	−	10.2417i	−0.584944	−	0.537551i
$364$	11.6166	+	12.2086i	0.608878	+	0.639904i
$365$	7.58686	−	4.38028i	0.397115	−	0.229274i
$366$	11.3527	−	2.26245i	0.593415	−	0.118260i
$367$		−	1.24210i		−	0.0648371i	−0.999474	−	0.0324185i	$-0.989679\pi$
$367$		−	1.24210i		−	0.0648371i	0.999474	−	0.0324185i	$-0.0103209\pi$
$368$	−1.22670	−	12.9483i	−0.0639463	−	0.674978i
$369$	13.0039	+	18.6855i	0.676955	+	0.972729i
$370$	1.43523	−	13.3263i	0.0746139	−	0.692800i
$371$	2.09218	+	0.151041i	0.108621	+	0.00784167i
$372$	2.57200	+	1.19259i	0.133352	+	0.0618331i
$373$	1.62882			0.0843372			0.0421686	−	0.999111i	$-0.486573\pi$
$373$	1.62882			0.0843372			0.0421686	+	0.999111i	$0.486573\pi$
$374$	10.7145	+	7.82659i	0.554032	+	0.404704i
$375$	−11.2345	+	12.2250i	−0.580145	+	0.631294i
$376$	7.71999	+	37.7461i	0.398128	+	1.94661i
$377$		−	6.56258i		−	0.337990i
$378$	13.0036	+	14.4536i	0.668831	+	0.743415i
$379$			30.3716i			1.56008i	0.625727	+	0.780042i	$0.284802\pi$
$379$			30.3716i			1.56008i	−0.625727	+	0.780042i	$0.715198\pi$
$380$	1.75585	+	5.49981i	0.0900730	+	0.282134i
$381$	−1.09617	+	1.19281i	−0.0561584	+	0.0611097i
$382$	−13.6394	+	18.6721i	−0.697852	+	0.955347i
$383$	−26.6162			−1.36002			−0.680012	−	0.733201i	$-0.738025\pi$
$383$	−26.6162			−1.36002			−0.680012	+	0.733201i	$0.738025\pi$
$384$	−16.1711	+	11.0678i	−0.825226	+	0.564803i
$385$	2.42646	−	3.57994i	0.123664	−	0.182451i
$386$	16.1813	+	1.74271i	0.823606	+	0.0887016i
$387$	5.81968	−	12.3873i	0.295831	−	0.629682i
$388$	8.14592	+	25.5153i	0.413546	+	1.29534i
$389$			28.6570i			1.45297i	0.687184	+	0.726483i	$0.258847\pi$
$389$			28.6570i			1.45297i	−0.687184	+	0.726483i	$0.741153\pi$
$390$	−1.65735	−	8.31639i	−0.0839234	−	0.421117i
$391$	17.5695	−	10.1437i	0.888526	−	0.512991i
$392$	−1.13991	−	19.7661i	−0.0575740	−	0.998341i
$393$	10.2529	+	9.42214i	0.517188	+	0.475284i
$394$	−15.0536	+	6.65607i	−0.758390	+	0.335328i
$395$	−7.84256	−	13.5837i	−0.394602	−	0.683470i
$396$	−7.16199	−	5.48737i	−0.359903	−	0.275751i
$397$	−13.0065	+	22.5280i	−0.652778	+	1.13065i	0.329667	+	0.944097i	$0.393063\pi$
$397$	−13.0065	+	22.5280i	−0.652778	+	1.13065i	−0.982446	+	0.186548i	$0.940270\pi$
$398$	−18.6541	−	13.6263i	−0.935047	−	0.683024i
$399$	−3.49930	+	11.6553i	−0.175184	+	0.583494i
$400$	−1.44054	−	15.2054i	−0.0720268	−	0.760271i
$401$		−	21.7110i		−	1.08420i	−0.840315	−	0.542099i	$-0.817630\pi$
$401$		−	21.7110i		−	1.08420i	0.840315	−	0.542099i	$-0.182370\pi$
$402$	−16.9288	+	14.8569i	−0.844330	+	0.740997i
$403$		−	2.60643i		−	0.129836i
$404$	3.05019	+	2.77488i	0.151753	+	0.138056i
$405$	−1.64345	−	9.64420i	−0.0816637	−	0.479224i
$406$	−4.98439	+	5.88234i	−0.247371	+	0.291936i
$407$	−6.55546	+	11.3544i	−0.324942	+	0.562816i
$408$	−26.1938	−	15.7534i	−1.29679	−	0.779908i
$409$	−12.7947	+	22.1611i	−0.632657	+	1.09579i	0.354349	+	0.935113i	$0.384702\pi$
$409$	−12.7947	+	22.1611i	−0.632657	+	1.09579i	−0.987006	+	0.160681i	$0.948631\pi$
$410$	−6.88099	+	9.41995i	−0.339828	+	0.465218i
$411$	−19.1662	+	20.8560i	−0.945400	+	1.02875i
$412$	4.33265	+	3.94158i	0.213454	+	0.194188i
$413$	−5.69613	+	2.76231i	−0.280288	+	0.135924i
$414$	−12.1018	+	6.62235i	−0.594771	+	0.325471i
$415$	4.52825	+	2.61439i	0.222283	+	0.128335i
$416$	15.4852	+	9.20729i	0.759227	+	0.451424i
$417$	−39.1466	−	8.73761i	−1.91702	−	0.427883i
$418$	0.604717	−	5.61487i	0.0295777	−	0.274632i
$419$	−3.64856	−	6.31949i	−0.178244	−	0.308727i	0.763035	−	0.646357i	$-0.223708\pi$
$419$	−3.64856	−	6.31949i	−0.178244	−	0.308727i	−0.941279	+	0.337629i	$0.890375\pi$
$420$	−4.83088	+	8.71315i	−0.235723	+	0.425158i
$421$	−6.81198	+	11.7987i	−0.331996	+	0.575034i	−0.982903	−	0.184124i	$-0.941055\pi$
$421$	−6.81198	+	11.7987i	−0.331996	+	0.575034i	0.650907	+	0.759157i	$0.274389\pi$
$422$	25.6261	+	18.7191i	1.24746	+	0.911233i
$423$	33.5415	−	23.3427i	1.63084	−	1.13496i
$424$	2.19698	−	0.449336i	0.106695	−	0.0218217i
$425$	20.6321	−	11.9120i	1.00080	−	0.577815i
$426$	−9.57952	+	28.2538i	−0.464129	+	1.36890i
$427$	−0.900320	+	12.4710i	−0.0435695	+	0.603514i
$428$	−6.66515	−	20.8772i	−0.322172	−	1.00914i
$429$	−1.80698	+	8.09572i	−0.0872420	+	0.390865i
$430$	6.97291	+	0.750976i	0.336263	+	0.0362153i
$431$	−6.04210	−	10.4652i	−0.291038	−	0.504092i	0.683018	−	0.730402i	$-0.260667\pi$
$431$	−6.04210	−	10.4652i	−0.291038	−	0.504092i	−0.974055	+	0.226310i	$0.927334\pi$
$432$	17.5617	+	11.1170i	0.844936	+	0.534868i
$433$	22.6142			1.08677			0.543386	−	0.839483i	$-0.317142\pi$
$433$	22.6142			1.08677			0.543386	+	0.839483i	$0.317142\pi$
$434$	−1.97963	+	2.33626i	−0.0950252	+	0.112144i
$435$	3.70181	−	1.16133i	0.177488	−	0.0556816i
$436$	28.4450	+	6.19891i	1.36227	+	0.296874i
$437$	−7.47788	−	4.31736i	−0.357715	−	0.206527i
$438$	19.3602	−	3.85825i	0.925067	−	0.184354i
$439$	21.7128	−	12.5359i	1.03630	−	0.598307i	0.117515	−	0.993071i	$-0.462507\pi$
$439$	21.7128	−	12.5359i	1.03630	−	0.598307i	0.918782	+	0.394765i	$0.129174\pi$
$440$	1.46251	−	4.38597i	0.0697223	−	0.209093i
$441$	−18.7810	+	9.39540i	−0.894334	+	0.447400i
$442$	−3.00909	+	27.9397i	−0.143128	+	1.32896i
$443$	7.36999	+	12.7652i	0.350159	+	0.606493i	0.986277	−	0.165099i	$-0.0527942\pi$
$443$	7.36999	+	12.7652i	0.350159	+	0.606493i	−0.636118	+	0.771592i	$0.719461\pi$
$444$	12.7052	−	27.4006i	0.602962	−	1.30038i
$445$	3.70874	−	6.42373i	0.175811	−	0.304514i
$446$	−2.68814	+	24.9597i	−0.127287	+	1.18188i
$447$	10.2811	−	11.1876i	0.486280	−	0.529154i
$448$	−6.88704	−	20.0142i	−0.325382	−	0.945583i
$449$		−	36.4636i		−	1.72082i	−0.509601	−	0.860411i	$-0.670207\pi$
$449$		−	36.4636i		−	1.72082i	0.509601	−	0.860411i	$-0.329793\pi$
$450$	−14.2113	+	7.77674i	−0.669929	+	0.366599i
$451$	9.88221	−	5.70549i	0.465335	−	0.268661i
$452$	6.43735	−	29.5392i	0.302788	−	1.38941i
$453$	10.8128	−	11.7661i	0.508029	−	0.552820i
$454$	7.65640	+	17.3160i	0.359333	+	0.812680i
$455$	9.13560	+	0.659527i	0.428283	+	0.0309191i
$456$	−0.232346	+	13.0074i	−0.0108806	+	0.609127i
$457$	−8.23699	−	14.2669i	−0.385310	−	0.667377i	0.606502	−	0.795082i	$-0.292572\pi$
$457$	−8.23699	−	14.2669i	−0.385310	−	0.667377i	−0.991812	+	0.127705i	$0.959239\pi$
$458$	−7.47541	−	16.9067i	−0.349303	−	0.789996i
$459$	−4.37017	+	32.1243i	−0.203982	+	1.49944i
$460$	−5.22901	−	4.75704i	−0.243804	−	0.221798i
$461$	−8.43340	−	4.86902i	−0.392782	−	0.226773i	0.290583	−	0.956850i	$-0.406151\pi$
$461$	−8.43340	−	4.86902i	−0.392782	−	0.226773i	−0.683365	+	0.730077i	$0.739484\pi$
$462$	7.76852	−	5.88413i	0.361424	−	0.273755i
$463$	3.07391	−	1.77472i	0.142857	−	0.0824784i	−0.426868	−	0.904314i	$-0.640383\pi$
$463$	3.07391	−	1.77472i	0.142857	−	0.0824784i	0.569725	+	0.821836i	$0.307050\pi$
$464$	−3.42962	+	7.49507i	−0.159216	+	0.347950i
$465$	1.47023	−	0.461241i	0.0681803	−	0.0213895i
$466$	−0.887075	+	8.23661i	−0.0410930	+	0.381553i
$467$	4.49751	−	7.78991i	0.208120	−	0.360474i	−0.743002	−	0.669289i	$-0.766599\pi$
$467$	4.49751	−	7.78991i	0.208120	−	0.360474i	0.951122	+	0.308815i	$0.0999322\pi$
$468$	2.48049	−	18.9469i	0.114661	−	0.875821i
$469$	−10.6155	−	21.8901i	−0.490177	−	1.01079i
$470$	16.9093	+	12.3517i	0.779968	+	0.569743i
$471$	−7.51169	+	2.35657i	−0.346120	+	0.108585i
$472$	−5.06407	+	4.48961i	−0.233093	+	0.206651i
$473$	−5.94113	−	3.43011i	−0.273174	−	0.157717i
$474$	−6.90791	−	34.6630i	−0.317291	−	1.59213i
$475$	−8.78139	−	5.06994i	−0.402918	−	0.232625i
$476$	23.9179	−	22.7582i	1.09627	−	1.04312i
$477$	−1.35864	−	1.95225i	−0.0622079	−	0.0893876i
$478$	7.15206	−	9.79104i	0.327128	−	0.447832i
$479$	16.9780			0.775743			0.387871	−	0.921714i	$-0.373210\pi$
$479$	16.9780			0.775743			0.387871	+	0.921714i	$0.373210\pi$
$480$	−2.45332	+	10.3642i	−0.111978	+	0.473060i
$481$	−27.7674			−1.26608
$482$	1.58733	+	3.58995i	0.0723007	+	0.163518i
$483$	−3.42496	−	14.5016i	−0.155841	−	0.659847i
$484$	11.7612	−	12.9281i	0.534601	−	0.587642i
$485$	12.6072	+	7.27875i	0.572462	+	0.330511i
$486$	3.47091	−	21.7705i	0.157444	−	0.987528i
$487$	−0.873051	+	0.504056i	−0.0395617	+	0.0228410i	−0.519650	−	0.854379i	$-0.673938\pi$
$487$	−0.873051	+	0.504056i	−0.0395617	+	0.0228410i	0.480089	+	0.877220i	$0.340604\pi$
$488$	2.67838	+	13.0957i	0.121245	+	0.592813i
$489$	0.449700	+	1.43344i	0.0203361	+	0.0648226i
$490$	−7.68773	−	7.52980i	−0.347296	−	0.340162i
$491$	0.979328	+	1.69625i	0.0441965	+	0.0765505i	0.887277	−	0.461236i	$-0.152594\pi$
$491$	0.979328	+	1.69625i	0.0441965	+	0.0765505i	−0.843081	+	0.537787i	$0.819261\pi$
$492$	−21.5003	+	15.1240i	−0.969310	+	0.681841i
$493$	−12.8568			−0.579040
$494$	10.9388	−	4.83669i	0.492161	−	0.217613i
$495$	−4.88638	+	0.413360i	−0.219627	+	0.0185792i
$496$	−1.36213	+	2.97679i	−0.0611613	+	0.133662i
$497$	−26.6742	−	18.0796i	−1.19650	−	0.810983i
$498$	7.77191	+	8.85572i	0.348268	+	0.396834i
$499$		−	27.4334i		−	1.22809i	−0.789272	−	0.614043i	$-0.789542\pi$
$499$		−	27.4334i		−	1.22809i	0.789272	−	0.614043i	$-0.210458\pi$
$500$	−14.1813	−	12.9012i	−0.634205	−	0.576961i
$501$	1.69624	−	7.59958i	0.0757825	−	0.339524i
$502$	−3.05730	−	6.91451i	−0.136454	−	0.308610i
$503$	25.0298			1.11602			0.558011	−	0.829834i	$-0.311565\pi$
$503$	25.0298			1.11602			0.558011	+	0.829834i	$0.311565\pi$
$504$	−16.6139	+	15.0990i	−0.740040	+	0.672563i
$505$	2.24120			0.0997321
$506$	2.79631	+	6.32424i	0.124311	+	0.281147i
$507$	4.72204	−	1.48140i	0.209713	−	0.0657912i
$508$	−1.38369	−	1.25880i	−0.0613915	−	0.0558502i
$509$		−	25.8454i		−	1.14558i	−0.819703	−	0.572789i	$-0.805861\pi$
$509$		−	25.8454i		−	1.14558i	0.819703	−	0.572789i	$-0.194139\pi$
$510$	−16.2927	+	3.24693i	−0.721452	+	0.143776i
$511$	−1.53535	+	21.2673i	−0.0679200	+	0.940810i
$512$	−12.8738	−	18.6082i	−0.568948	−	0.822374i
$513$	12.7709	−	5.22552i	0.563849	−	0.230712i
$514$	−2.84542	+	1.25812i	−0.125506	+	0.0554934i
$515$	3.18351			0.140282
$516$	14.3372	+	6.64793i	0.631162	+	0.292659i
$517$	−10.2417	−	17.7391i	−0.450428	−	0.780164i
$518$	24.8892	+	21.0898i	1.09357	+	0.926633i
$519$	33.6226	+	7.50464i	1.47587	+	0.329417i
$520$	9.59319	−	1.96204i	0.420689	−	0.0860412i
$521$	−22.8154	+	13.1725i	−0.999562	+	0.577097i	−0.908119	−	0.418713i	$-0.862481\pi$
$521$	−22.8154	+	13.1725i	−0.999562	+	0.577097i	−0.0914433	+	0.995810i	$0.529148\pi$
$522$	8.74018	+	0.200117i	0.382547	+	0.00875887i
$523$	−15.0902	−	8.71233i	−0.659848	−	0.380964i	0.132371	−	0.991200i	$-0.457741\pi$
$523$	−15.0902	−	8.71233i	−0.659848	−	0.380964i	−0.792219	+	0.610237i	$0.791074\pi$
$524$	−10.8200	+	11.8936i	−0.472676	+	0.519573i
$525$	−4.02199	−	17.0295i	−0.175534	−	0.743228i
$526$	−3.57619	−	8.08803i	−0.155929	−	0.352655i
$527$	−5.10627			−0.222433
$528$	6.29458	−	8.30172i	0.273937	−	0.361286i
$529$	−12.4273			−0.540316
$530$	0.718923	−	0.984193i	0.0312280	−	0.0427506i
$531$	6.49692	+	3.05232i	0.281942	+	0.132459i
$532$	−13.4785	−	3.97288i	−0.584368	−	0.172246i
$533$	20.9294	+	12.0836i	0.906551	+	0.523398i
$534$	12.5626	−	11.0252i	0.543638	−	0.477105i
$535$	−10.3154	−	5.95562i	−0.445975	−	0.257484i
$536$	−17.2534	−	19.4611i	−0.745235	−	0.840591i
$537$	−1.39861	+	6.26609i	−0.0603543	+	0.270402i
$538$	10.1764	+	7.43353i	0.438734	+	0.320482i
$539$	3.89914	+	9.77744i	0.167948	+	0.421144i
$540$	11.1265	−	1.95370i	0.478807	−	0.0840739i
$541$	−9.52540	+	16.4985i	−0.409529	+	0.709325i	−0.994837	−	0.101486i	$-0.967640\pi$
$541$	−9.52540	+	16.4985i	−0.409529	+	0.709325i	0.585308	+	0.810811i	$0.300974\pi$
$542$	−0.380008	+	3.52842i	−0.0163227	+	0.151559i
$543$	−26.1644	−	24.0445i	−1.12282	−	1.03185i
$544$	18.0380	−	30.3372i	0.773374	−	1.30070i
$545$	13.7032	−	7.91154i	0.586980	−	0.338893i
$546$	19.0187	+	8.01760i	0.813927	+	0.343122i
$547$	−4.36785	−	2.52178i	−0.186756	−	0.107824i	0.403707	−	0.914888i	$-0.367721\pi$
$547$	−4.36785	−	2.52178i	−0.186756	−	0.107824i	−0.590463	+	0.807065i	$0.701055\pi$
$548$	−24.1935	−	22.0098i	−1.03350	−	0.940212i
$549$	11.6369	−	8.09853i	0.496651	−	0.345637i
$550$	3.28375	+	7.42666i	0.140020	+	0.316674i
$551$	2.73604	+	4.73895i	0.116559	+	0.201886i
$552$	−7.71705	−	13.9353i	−0.328459	−	0.593126i
$553$	38.0775	+	2.74893i	1.61922	+	0.116897i
$554$	16.9279	+	38.2847i	0.719197	+	1.62656i
$555$	−4.91379	−	15.6630i	−0.208579	−	0.664856i
$556$	9.86176	−	45.2528i	0.418232	−	1.91915i
$557$	13.8266	−	7.98281i	0.585853	−	0.338242i	−0.177603	−	0.984102i	$-0.556834\pi$
$557$	13.8266	−	7.98281i	0.585853	−	0.338242i	0.763456	+	0.645860i	$0.223501\pi$
$558$	3.47130	+	0.0794795i	0.146952	+	0.00336464i
$559$		−	14.5292i		−	0.614518i
$560$	−10.0890	−	5.52752i	−0.426339	−	0.233581i
$561$	15.8604	+	3.54007i	0.669625	+	0.149462i
$562$	3.69285	−	34.2886i	0.155773	−	1.44638i
$563$	−8.34543	+	14.4547i	−0.351718	+	0.609193i	−0.986551	−	0.163457i	$-0.947736\pi$
$563$	−8.34543	+	14.4547i	−0.351718	+	0.609193i	0.634833	+	0.772650i	$0.281069\pi$
$564$	27.1483	+	38.5943i	1.14315	+	1.62511i
$565$	−8.21586	−	14.2303i	−0.345644	−	0.598673i
$566$	−2.31050	+	21.4533i	−0.0971177	+	0.901750i
$567$	21.6749	+	9.85885i	0.910262	+	0.414033i
$568$	−32.6800	−	10.8972i	−1.37122	−	0.457236i
$569$	−29.4117	+	16.9809i	−1.23300	+	0.711874i	−0.967655	−	0.252278i	$-0.918820\pi$
$569$	−29.4117	+	16.9809i	−1.23300	+	0.711874i	−0.265348	+	0.964153i	$0.585487\pi$
$570$	4.66403	+	5.31443i	0.195355	+	0.222597i
$571$	−27.0967	−	15.6443i	−1.13396	−	0.654692i	−0.189032	−	0.981971i	$-0.560535\pi$
$571$	−27.0967	−	15.6443i	−1.13396	−	0.654692i	−0.944928	+	0.327279i	$0.893868\pi$
$572$	−9.35852	−	2.03946i	−0.391299	−	0.0852743i
$573$	−6.16927	+	27.6398i	−0.257725	+	1.15467i
$574$	−9.58226	−	26.7272i	−0.399956	−	1.11557i
$575$	12.4157			0.517772
$576$	−12.7346	+	20.3428i	−0.530610	+	0.847616i
$577$	10.1541	+	17.5874i	0.422720	+	0.732172i	0.996204	−	0.0870440i	$-0.0277421\pi$
$577$	10.1541	+	17.5874i	0.422720	+	0.732172i	−0.573485	+	0.819216i	$0.694409\pi$
$578$	30.8334	+	3.32073i	1.28250	+	0.138124i
$579$	19.0186	−	5.96652i	0.790386	−	0.247960i
$580$	1.36248	+	4.26768i	0.0565739	+	0.177206i
$581$	−11.4511	+	5.55313i	−0.475070	+	0.230383i
$582$	21.6379	+	24.6553i	0.896919	+	1.02200i
$583$	−1.03249	+	0.596108i	−0.0427613	+	0.0246883i
$584$	4.56755	+	22.3326i	0.189007	+	0.924128i
$585$	−5.93256	−	8.52459i	−0.245281	−	0.352448i
$586$	13.7201	+	10.0221i	0.566770	+	0.414009i
$587$	4.77427	−	8.26929i	0.197055	−	0.341310i	−0.750517	−	0.660851i	$-0.770195\pi$
$587$	4.77427	−	8.26929i	0.197055	−	0.341310i	0.947572	+	0.319541i	$0.103529\pi$
$588$	−10.9579	−	21.6316i	−0.451894	−	0.892072i
$589$	1.08666	+	1.88215i	0.0447750	+	0.0775526i
$590$	−0.393874	+	3.65717i	−0.0162155	+	0.150563i
$591$	−13.6403	+	14.8429i	−0.561088	+	0.610557i
$592$	31.7129	+	14.5113i	1.30339	+	0.596411i
$593$	−9.29829	−	5.36837i	−0.381835	−	0.220453i	0.296781	−	0.954945i	$-0.404087\pi$
$593$	−9.29829	−	5.36837i	−0.381835	−	0.220453i	−0.678616	+	0.734493i	$0.737420\pi$
$594$	−10.7269	−	2.65344i	−0.440132	−	0.108872i
$595$	1.29208	−	17.8976i	0.0529702	−	0.733729i
$596$	12.9779	+	11.8065i	0.531594	+	0.483612i
$597$	−27.6133	−	6.16334i	−1.13014	−	0.252249i
$598$	−8.63842	+	11.8258i	−0.353251	+	0.483594i
$599$	14.8707	−	25.7568i	0.607600	−	1.05239i	−0.384035	−	0.923319i	$-0.625466\pi$
$599$	14.8707	−	25.7568i	0.607600	−	1.05239i	0.991635	−	0.129076i	$-0.0412010\pi$
$600$	−9.06225	−	16.3645i	−0.369965	−	0.668076i
$601$	18.4639	−	31.9804i	0.753159	−	1.30451i	−0.193125	−	0.981174i	$-0.561862\pi$
$601$	18.4639	−	31.9804i	0.753159	−	1.30451i	0.946284	−	0.323336i	$-0.104804\pi$
$602$	−11.0351	+	13.0232i	−0.449759	+	0.530784i
$603$	−11.7300	+	24.9675i	−0.477681	+	1.01675i
$604$	13.6490	+	12.4170i	0.555369	+	0.505241i
$605$		−	9.49923i		−	0.386199i
$606$	4.78286	+	1.62164i	0.194290	+	0.0658745i
$607$			28.5591i			1.15918i	0.814909	+	0.579589i	$0.196787\pi$
$607$			28.5591i			1.15918i	−0.814909	+	0.579589i	$0.803213\pi$
$608$	−15.0208	−	0.192716i	−0.609174	−	0.00781565i
$609$	−2.71535	+	9.04412i	−0.110031	+	0.366486i
$610$	5.86653	+	4.28533i	0.237529	+	0.173508i
$611$	21.6907	−	37.5693i	0.877510	−	1.51989i
$612$	−37.1189	−	4.85954i	−1.50044	−	0.196435i
$613$	0.0951404	+	0.164788i	0.00384268	+	0.00665572i	0.867940	−	0.496668i	$-0.165443\pi$
$613$	0.0951404	+	0.164788i	0.00384268	+	0.00665572i	−0.864098	+	0.503324i	$0.832110\pi$
$614$	−33.7158	+	14.9077i	−1.36066	+	0.601625i
$615$	−3.11236	+	13.9441i	−0.125502	+	0.562281i
$616$	6.83946	+	8.93601i	0.275570	+	0.360042i
$617$	−18.7268	+	10.8120i	−0.753915	+	0.435273i	−0.827107	−	0.562045i	$-0.810015\pi$
$617$	−18.7268	+	10.8120i	−0.753915	+	0.435273i	0.0731920	+	0.997318i	$0.476681\pi$
$618$	6.79382	+	2.30346i	0.273287	+	0.0926586i
$619$		−	6.60974i		−	0.265668i	−0.991138	−	0.132834i	$-0.957592\pi$
$619$		−	6.60974i		−	0.265668i	0.991138	−	0.132834i	$-0.0424077\pi$
$620$	0.541130	+	1.69497i	0.0217323	+	0.0680718i
$621$	−10.3431	+	13.3598i	−0.415055	+	0.536110i
$622$	−7.28169	−	0.784232i	−0.291969	−	0.0314448i
$623$	7.87761	+	16.2444i	0.315610	+	0.650816i
$624$	21.8921	+	2.75411i	0.876387	+	0.110253i
$625$	8.67188			0.346875
$626$	9.65124	−	13.2124i	0.385741	−	0.528072i
$627$	−2.07037	−	6.59942i	−0.0826826	−	0.263555i
$628$	−2.76474	−	8.65995i	−0.110325	−	0.345570i
$629$			54.3992i			2.16904i
$630$	−1.15695	+	12.1469i	−0.0460939	+	0.483942i
$631$			10.8732i			0.432854i	0.976299	+	0.216427i	$0.0694403\pi$
$631$			10.8732i			0.432854i	−0.976299	+	0.216427i	$0.930560\pi$
$632$	39.9848	−	8.17785i	1.59051	−	0.325298i
$633$	37.9338	+	8.46690i	1.50773	+	0.336529i
$634$	26.8361	+	19.6029i	1.06580	+	0.778532i
$635$	−1.01670			−0.0403465
$636$	2.24635	−	1.58015i	0.0890735	−	0.0626569i
$637$	−13.8042	+	17.5053i	−0.546944	+	0.693586i
$638$	0.469241	−	4.35696i	0.0185774	−	0.172494i
$639$	3.07996	+	36.4086i	0.121841	+	1.44030i
$640$	−11.9817	−	2.77259i	−0.473617	−	0.109596i
$641$			26.1971i			1.03472i	0.855767	+	0.517362i	$0.173086\pi$
$641$			26.1971i			1.03472i	−0.855767	+	0.517362i	$0.826914\pi$
$642$	−17.7045	−	20.1735i	−0.698743	−	0.796184i
$643$	19.2089	−	11.0902i	0.757524	−	0.437356i	−0.0708823	−	0.997485i	$-0.522581\pi$
$643$	19.2089	−	11.0902i	0.757524	−	0.437356i	0.828406	+	0.560128i	$0.189248\pi$
$644$	16.7249	−	4.03901i	0.659054	−	0.159159i
$645$	8.19557	−	2.57112i	0.322700	−	0.101238i
$646$	−9.47557	−	21.4303i	−0.372811	−	0.843164i
$647$	2.18326	+	3.78151i	0.0858327	+	0.148667i	0.905746	−	0.423822i	$-0.139312\pi$
$647$	2.18326	+	3.78151i	0.0858327	+	0.148667i	−0.819913	+	0.572488i	$0.805978\pi$
$648$	25.1582	+	3.88133i	0.988308	+	0.152473i
$649$	1.79904	−	3.11602i	0.0706183	−	0.122315i
$650$	−10.1442	+	13.8873i	−0.397890	+	0.544703i
$651$	−1.07844	+	3.59201i	−0.0422675	+	0.140782i
$652$	−1.65256	+	0.527590i	−0.0647194	+	0.0206620i
$653$			35.0173i			1.37033i	0.728387	+	0.685166i	$0.240270\pi$
$653$			35.0173i			1.37033i	−0.728387	+	0.685166i	$0.759730\pi$
$654$	34.9679	−	6.96868i	1.36735	−	0.272497i
$655$			8.73907i			0.341464i
$656$	−17.5883	−	24.7383i	−0.686709	−	0.965867i
$657$	19.8449	−	13.8107i	0.774223	−	0.538809i
$658$	−47.9768	+	17.2007i	−1.87033	+	0.670552i
$659$	13.6116	−	23.5760i	0.530233	−	0.918390i	−0.469145	−	0.883121i	$-0.655438\pi$
$659$	13.6116	−	23.5760i	0.530233	−	0.918390i	0.999378	−	0.0352689i	$-0.0112288\pi$
$660$	−0.505690	−	5.63984i	−0.0196840	−	0.219530i
$661$	7.61931	−	13.1970i	0.296357	−	0.513305i	−0.678943	−	0.734191i	$-0.737562\pi$
$661$	7.61931	−	13.1970i	0.296357	−	0.513305i	0.975300	+	0.220886i	$0.0708949\pi$
$662$	−17.2979	−	12.6356i	−0.672301	−	0.491096i
$663$	10.3022	+	32.8388i	0.400105	+	1.27536i
$664$	−10.1804	+	9.02557i	−0.395077	+	0.350260i
$665$	−6.87194	+	3.33251i	−0.266482	+	0.129229i
$666$	0.846728	−	36.9812i	0.0328100	−	1.43299i
$667$	−5.80259	−	3.35013i	−0.224677	−	0.129717i
$668$	8.78498	+	1.91448i	0.339901	+	0.0740733i
$669$	9.20339	+	29.3363i	0.355824	+	1.13421i
$670$	−14.0544	−	1.51365i	−0.542968	−	0.0584772i
$671$	−3.55325	−	6.15441i	−0.137172	−	0.237589i
$672$	−17.5311	−	19.0961i	−0.676278	−	0.736647i
$673$	−6.84127	+	11.8494i	−0.263712	+	0.456762i	−0.967225	−	0.253920i	$-0.918280\pi$
$673$	−6.84127	+	11.8494i	−0.263712	+	0.456762i	0.703514	+	0.710682i	$0.251613\pi$
$674$	−22.1110	+	30.2695i	−0.851683	+	1.16594i
$675$	−12.1461	+	15.6886i	−0.467503	+	0.603855i
$676$	1.73798	+	5.44386i	0.0668456	+	0.209379i
$677$	34.2732	−	19.7876i	1.31723	−	0.760500i	0.333944	−	0.942593i	$-0.391620\pi$
$677$	34.2732	−	19.7876i	1.31723	−	0.760500i	0.983281	+	0.182092i	$0.0582870\pi$
$678$	−7.23673	−	36.3130i	−0.277925	−	1.39459i
$679$	−31.8811	+	15.4605i	−1.22348	+	0.593321i
$680$	−3.84384	−	18.7941i	−0.147405	−	0.720719i
$681$	17.0737	+	15.6903i	0.654264	+	0.601254i
$682$	0.186366	−	1.73043i	0.00713634	−	0.0662618i
$683$	−11.3382	−	19.6384i	−0.433846	−	0.751443i	0.563355	−	0.826215i	$-0.309510\pi$
$683$	−11.3382	−	19.6384i	−0.433846	−	0.751443i	−0.997201	+	0.0747721i	$0.976177\pi$
$684$	6.10803	+	14.7160i	0.233546	+	0.562681i
$685$	−17.7768			−0.679215
$686$	25.6689	−	5.20626i	0.980045	−	0.198776i
$687$	−16.6701	−	15.3194i	−0.636002	−	0.584472i
$688$	−7.59297	+	16.5936i	−0.289479	+	0.632627i
$689$	−2.18669	−	1.26249i	−0.0833063	−	0.0480969i
$690$	−8.19936	−	2.78001i	−0.312144	−	0.105833i
$691$	−18.2462	+	10.5344i	−0.694117	+	0.400749i	−0.805152	−	0.593068i	$-0.797917\pi$
$691$	−18.2462	+	10.5344i	−0.694117	+	0.400749i	0.111036	+	0.993816i	$0.464583\pi$
$692$	−8.47017	+	38.8672i	−0.321987	+	1.47751i
$693$	5.83996	−	10.4093i	0.221842	−	0.395418i
$694$	−29.1175	−	3.13593i	−1.10529	−	0.119038i
$695$	−12.5864	−	21.8002i	−0.477428	−	0.826930i
$696$	−0.180293	+	10.0933i	−0.00683399	+	0.382586i
$697$	23.6730	−	41.0028i	0.896677	−	1.55309i
$698$	−6.14030	−	0.661305i	−0.232414	−	0.0250308i
$699$	3.03708	+	9.68086i	0.114873	+	0.366164i
$700$	19.6403	−	4.74308i	0.742335	−	0.179271i
$701$		−	20.6957i		−	0.781667i	−0.920461	−	0.390833i	$-0.872187\pi$
$701$		−	20.6957i		−	0.781667i	0.920461	−	0.390833i	$-0.127813\pi$
$702$	−6.49241	−	22.4846i	−0.245040	−	0.848625i
$703$	20.0513	−	11.5766i	0.756250	−	0.436621i
$704$	9.62246	+	7.22004i	0.362660	+	0.272115i
$705$	25.0304	+	5.58685i	0.942701	+	0.210413i
$706$	−4.66452	+	2.06245i	−0.175552	+	0.0776215i
$707$	−3.06055	+	4.51546i	−0.115104	+	0.169821i
$708$	−3.48672	+	7.51964i	−0.131039	+	0.282605i
$709$	10.6004	+	18.3605i	0.398108	+	0.689543i	0.993492	−	0.113898i	$-0.0363336\pi$
$709$	10.6004	+	18.3605i	0.398108	+	0.689543i	−0.595385	+	0.803441i	$0.703000\pi$
$710$	−17.1242	+	7.57159i	−0.642659	+	0.284157i
$711$	−24.7271	−	35.5308i	−0.927339	−	1.33251i
$712$	12.8036	+	14.4418i	0.479834	+	0.541230i
$713$	−2.30459	−	1.33056i	−0.0863076	−	0.0498297i
$714$	15.7073	−	37.2597i	0.587831	−	1.39441i
$715$	−4.50840	+	2.60293i	−0.168605	+	0.0973439i
$716$	−7.24350	−	1.57855i	−0.270702	−	0.0589930i
$717$	3.23497	−	14.4934i	0.120812	−	0.541267i
$718$	−24.5922	−	2.64856i	−0.917772	−	0.0988433i
$719$	−8.43001	+	14.6012i	−0.314386	+	0.544533i	−0.979307	−	0.202381i	$-0.935132\pi$
$719$	−8.43001	+	14.6012i	−0.314386	+	0.544533i	0.664921	+	0.746914i	$0.268465\pi$
$720$	2.32055	+	12.8362i	0.0864819	+	0.478378i
$721$	−4.34736	+	6.41399i	−0.161904	+	0.238869i
$722$	9.96692	−	13.6445i	0.370930	−	0.507797i
$723$	3.53972	+	3.25292i	0.131643	+	0.120977i
$724$	27.6118	−	30.3514i	1.02619	−	1.12800i
$725$	−6.81408	−	3.93411i	−0.253069	−	0.146109i
$726$	6.87324	−	20.2720i	0.255090	−	0.752363i
$727$	−6.79800	−	3.92483i	−0.252124	−	0.145564i	0.368613	−	0.929583i	$-0.379833\pi$
$727$	−6.79800	−	3.92483i	−0.252124	−	0.145564i	−0.620736	+	0.784019i	$0.713166\pi$
$728$	−9.14732	+	22.0072i	−0.339022	+	0.815643i
$729$	−6.76307	−	26.1393i	−0.250484	−	0.968121i
$730$	10.0044	+	7.30794i	0.370281	+	0.270479i
$731$	−28.4641			−1.05278
$732$	9.41886	+	13.3899i	0.348131	+	0.494906i
$733$	−2.77974			−0.102672			−0.0513360	−	0.998681i	$-0.516348\pi$
$733$	−2.77974			−0.102672			−0.0513360	+	0.998681i	$0.516348\pi$
$734$	1.60656	−	0.710351i	0.0592991	−	0.0262195i
$735$	−12.3172	−	4.68888i	−0.454326	−	0.172952i
$736$	16.0461	−	8.99173i	0.591466	−	0.331440i
$737$	11.9748	+	6.91364i	0.441097	+	0.254667i
$738$	−16.7313	+	27.5056i	−0.615889	+	1.01250i
$739$	−31.6800	+	18.2905i	−1.16537	+	0.672826i	−0.952585	−	0.304273i	$-0.901587\pi$
$739$	−31.6800	+	18.2905i	−1.16537	+	0.672826i	−0.212784	+	0.977099i	$0.568253\pi$
$740$	18.0573	−	5.76488i	0.663798	−	0.211921i
$741$	9.91186	−	10.7857i	0.364121	−	0.396224i
$742$	1.00115	+	2.79245i	0.0367534	+	0.102514i
$743$	11.7085	+	20.2798i	0.429545	+	0.743993i	0.996833	−	0.0795261i	$-0.0253407\pi$
$743$	11.7085	+	20.2798i	0.429545	+	0.743993i	−0.567288	+	0.823519i	$0.692007\pi$
$744$	−0.0716062	+	4.00872i	−0.00262521	+	0.146967i
$745$	9.53577			0.349364
$746$	0.931516	+	2.10675i	0.0341052	+	0.0771336i
$747$	13.0609	+	6.13615i	0.477873	+	0.224510i
$748$	−3.99552	+	18.3343i	−0.146091	+	0.670368i
$749$	26.0857	−	12.6501i	0.953151	−	0.462225i
$750$	−22.2369	−	7.53947i	−0.811978	−	0.275303i
$751$			19.1395i			0.698409i	0.937047	+	0.349205i	$0.113548\pi$
$751$			19.1395i			0.698409i	−0.937047	+	0.349205i	$0.886452\pi$
$752$	−44.4065	+	31.5720i	−1.61934	+	1.15131i
$753$	−6.81775	−	6.26536i	−0.248453	−	0.228322i
$754$	8.48818	−	3.75311i	0.309121	−	0.136680i
$755$	10.0289			0.364989
$756$	−11.2579	+	25.0850i	−0.409448	+	0.912334i
$757$	−18.7437			−0.681252			−0.340626	−	0.940199i	$-0.610639\pi$
$757$	−18.7437			−0.681252			−0.340626	+	0.940199i	$0.610639\pi$
$758$	−39.2832	+	17.3694i	−1.42683	+	0.630884i
$759$	6.23574	+	5.73050i	0.226343	+	0.208004i
$760$	−6.10941	+	5.41636i	−0.221611	+	0.196472i
$761$			20.8438i			0.755588i	0.925890	+	0.377794i	$0.123317\pi$
$761$			20.8438i			0.755588i	−0.925890	+	0.377794i	$0.876683\pi$
$762$	−2.16970	−	0.735641i	−0.0786000	−	0.0266495i
$763$	−2.77311	+	38.4124i	−0.100393	+	1.39062i
$764$	−31.9512	−	6.96299i	−1.15595	−	0.251912i
$765$	−16.7005	+	11.6225i	−0.603810	+	0.420212i
$766$	−15.2217	−	34.4259i	−0.549982	−	1.24386i
$767$	7.62030			0.275153
$768$	−23.5635	−	14.5863i	−0.850275	−	0.526339i
$769$	−7.95585	−	13.7799i	−0.286895	−	0.496917i	0.686172	−	0.727440i	$-0.259290\pi$
$769$	−7.95585	−	13.7799i	−0.286895	−	0.496917i	−0.973067	+	0.230522i	$0.925957\pi$
$770$	6.01805	+	1.09108i	0.216875	+	0.0393199i
$771$	−2.57828	+	2.80560i	−0.0928545	+	0.101041i
$772$	6.99995	+	21.9259i	0.251934	+	0.789129i
$773$	−11.4250	+	6.59625i	−0.410930	+	0.237251i	−0.691189	−	0.722674i	$-0.742913\pi$
$773$	−11.4250	+	6.59625i	−0.410930	+	0.237251i	0.280259	+	0.959924i	$0.409580\pi$
$774$	19.3502	+	0.443046i	0.695529	+	0.0159250i
$775$	−2.70632	−	1.56249i	−0.0972138	−	0.0561264i
$776$	−28.3434	+	25.1282i	−1.01747	+	0.902050i
$777$	38.2672	+	11.4891i	1.37283	+	0.412169i
$778$	−37.0655	+	16.3888i	−1.32886	+	0.587567i
$779$	−20.1513			−0.721994
$780$	9.80876	−	6.89977i	0.351210	−	0.247051i
$781$	18.3150			0.655361
$782$	23.1680	+	16.9235i	0.828487	+	0.605185i
$783$	9.90981	−	4.05483i	0.354148	−	0.144908i
$784$	24.9140	−	12.7786i	0.889787	−	0.456377i
$785$	−4.27889	−	2.47042i	−0.152720	−	0.0881731i
$786$	−6.32322	+	18.6497i	−0.225542	+	0.665214i
$787$	−19.5029	−	11.2600i	−0.695202	−	0.401375i	0.110356	−	0.993892i	$-0.464801\pi$
$787$	−19.5029	−	11.2600i	−0.695202	−	0.401375i	−0.805558	+	0.592517i	$0.798134\pi$
$788$	−17.2182	−	15.6641i	−0.613373	−	0.558009i
$789$	−7.97485	−	7.32870i	−0.283912	−	0.260909i
$790$	13.0843	−	17.9122i	0.465519	−	0.637287i
$791$	39.8900	+	2.87978i	1.41832	+	0.102393i
$792$	3.00157	−	12.4017i	0.106656	−	0.440674i
$793$	7.52537	−	13.0343i	0.267234	−	0.462863i
$794$	−36.5765	−	3.93925i	−1.29805	−	0.139799i
$795$	0.325178	−	1.45688i	0.0115329	−	0.0516701i
$796$	6.95630	−	31.9204i	0.246559	−	1.13139i
$797$	25.0813	−	14.4807i	0.888424	−	0.512932i	0.0149975	−	0.999888i	$-0.495226\pi$
$797$	25.0813	−	14.4807i	0.888424	−	0.512932i	0.873427	+	0.486956i	$0.161893\pi$
$798$	−17.0764	+	2.13954i	−0.604498	+	0.0757387i
$799$	−73.6021	−	42.4942i	−2.60386	−	1.50334i
$800$	18.8432	−	10.5591i	0.666206	−	0.373322i
$801$	8.70467	−	18.5281i	0.307564	−	0.654657i
$802$	28.0815	−	12.4164i	0.991592	−	0.438440i
$803$	−6.05951	−	10.4954i	−0.213835	−	0.370374i
$804$	−28.8977	−	13.3994i	−1.01914	−	0.472560i
$805$	5.24677	−	7.74095i	0.184924	−	0.272833i
$806$	3.37121	−	1.49061i	0.118746	−	0.0525044i
$807$	15.0638	+	3.36228i	0.530272	+	0.118358i
$808$	−1.84469	+	5.53212i	−0.0648961	+	0.194619i
$809$	−6.13234	+	3.54051i	−0.215601	+	0.124478i	−0.603912	−	0.797051i	$-0.706392\pi$
$809$	−6.13234	+	3.54051i	−0.215601	+	0.124478i	0.388310	+	0.921529i	$0.373059\pi$
$810$	11.5341	−	7.64115i	0.405268	−	0.268483i
$811$		−	50.7206i		−	1.78104i	−0.454943	−	0.890521i	$-0.650340\pi$
$811$		−	50.7206i		−	1.78104i	0.454943	−	0.890521i	$-0.349660\pi$
$812$	−10.4589	−	3.08283i	−0.367035	−	0.108186i
$813$	1.30103	+	4.14711i	0.0456292	+	0.145446i
$814$	−18.4350	−	1.98544i	−0.646148	−	0.0695896i
$815$	−0.471426	+	0.816534i	−0.0165133	+	0.0286019i
$816$	5.39559	−	42.8889i	0.188883	−	1.50141i
$817$	6.05742	+	10.4918i	0.211922	+	0.367060i
$818$	−35.9808	−	3.87510i	−1.25804	−	0.135490i
$819$	25.2764	−	0.311555i	0.883227	−	0.0108866i
$820$	−16.1192	−	3.51278i	−0.562905	−	0.122672i
$821$	−11.4156	+	6.59081i	−0.398408	+	0.230021i	−0.685797	−	0.727793i	$-0.740546\pi$
$821$	−11.4156	+	6.59081i	−0.398408	+	0.230021i	0.287389	+	0.957814i	$0.407213\pi$
$822$	−37.9367	−	12.8625i	−1.32319	−	0.448631i
$823$	34.3720	+	19.8447i	1.19813	+	0.691743i	0.960139	−	0.279524i	$-0.0901766\pi$
$823$	34.3720	+	19.8447i	1.19813	+	0.691743i	0.237994	+	0.971267i	$0.423510\pi$
$824$	−2.62030	+	7.85811i	−0.0912824	+	0.273750i
$825$	7.32273	+	6.72942i	0.254945	+	0.234288i
$826$	−6.83042	−	5.78774i	−0.237661	−	0.201381i
$827$	−23.2354			−0.807973			−0.403987	−	0.914765i	$-0.632376\pi$
$827$	−23.2354			−0.807973			−0.403987	+	0.914765i	$0.632376\pi$
$828$	−15.4865	−	11.8654i	−0.538191	−	0.412352i
$829$	3.93228	+	6.81091i	0.136574	+	0.236553i	0.926198	−	0.377039i	$-0.123058\pi$
$829$	3.93228	+	6.81091i	0.136574	+	0.236553i	−0.789624	+	0.613591i	$0.789724\pi$
$830$	−0.791813	+	7.35209i	−0.0274842	+	0.255195i
$831$	37.7489	+	34.6904i	1.30950	+	1.20340i
$832$	−3.05294	+	25.2945i	−0.105842	+	0.876930i
$833$	34.2947	+	27.0439i	1.18824	+	0.937016i
$834$	−11.0864	−	55.6300i	−0.383890	−	1.92631i
$835$	4.23210	−	2.44341i	0.146458	−	0.0845575i
$836$	7.60823	−	2.42897i	0.263136	−	0.0840076i
$837$	3.93584	−	1.61044i	0.136042	−	0.0556650i
$838$	6.08716	−	8.33321i	0.210278	−	0.287866i
$839$	25.5164	−	44.1957i	0.880925	−	1.52581i	0.0306106	−	0.999531i	$-0.490255\pi$
$839$	25.5164	−	44.1957i	0.880925	−	1.52581i	0.850314	−	0.526275i	$-0.176412\pi$
$840$	−14.0325	−	1.26534i	−0.484168	−	0.0436584i
$841$	−12.3769	−	21.4375i	−0.426790	−	0.739223i
$842$	−19.1564	−	2.06313i	−0.660174	−	0.0711001i
$843$	−12.6432	−	40.3009i	−0.435455	−	1.38804i
$844$	−9.55622	+	43.8508i	−0.328939	+	1.50941i
$845$	2.68982	+	1.55297i	0.0925326	+	0.0534237i
$846$	49.3741	+	30.0336i	1.69752	+	1.03258i
$847$	19.1386	+	12.9720i	0.657610	+	0.445724i
$848$	1.83762	+	2.58465i	0.0631043	+	0.0887571i
$849$	7.91047	+	25.2151i	0.271487	+	0.865379i
$850$	27.2066	+	19.8736i	0.933178	+	0.681659i
$851$	−14.1750	+	24.5518i	−0.485911	+	0.841623i
$852$	−42.0226	+	3.76791i	−1.43967	+	0.129087i
$853$	−25.0238	+	43.3425i	−0.856799	+	1.48402i	0.0181661	+	0.999835i	$0.494217\pi$
$853$	−25.0238	+	43.3425i	−0.856799	+	1.48402i	−0.874966	+	0.484185i	$0.839116\pi$
$854$	−16.6451	+	5.96762i	−0.569584	+	0.204208i
$855$	7.83802	+	3.68238i	0.268055	+	0.125935i
$856$	23.1912	−	20.5604i	0.792658	−	0.702740i
$857$		−	40.0654i		−	1.36861i	−0.729196	−	0.684305i	$-0.760106\pi$
$857$		−	40.0654i		−	1.36861i	0.729196	−	0.684305i	$-0.239894\pi$
$858$	−11.5046	+	2.29272i	−0.392760	+	0.0782722i
$859$			40.9224i			1.39626i	0.715973	+	0.698128i	$0.245983\pi$
$859$			40.9224i			1.39626i	−0.715973	+	0.698128i	$0.754017\pi$
$860$	3.01645	+	9.44838i	0.102860	+	0.322187i
$861$	−23.8437	−	25.3125i	−0.812592	−	0.862649i
$862$	10.0805	−	13.8000i	0.343343	−	0.470030i
$863$	15.2070	−	26.3392i	0.517651	−	0.896598i	−0.482139	−	0.876095i	$-0.660140\pi$
$863$	15.2070	−	26.3392i	0.517651	−	0.896598i	0.999790	−	0.0205031i	$-0.00652679\pi$
$864$	−4.33555	+	29.0724i	−0.147498	+	0.989062i
$865$	10.8103	+	18.7240i	0.367561	+	0.636635i
$866$	12.9330	+	29.2497i	0.439481	+	0.993946i
$867$	36.2399	−	11.3692i	1.23077	−	0.386118i
$868$	−4.15391	−	1.22439i	−0.140993	−	0.0415586i
$869$	−18.7912	+	10.8491i	−0.637447	+	0.368030i
$870$	3.61914	+	4.12383i	0.122700	+	0.139811i
$871$			29.2846i			0.992270i
$872$	8.24979	+	40.3365i	0.279373	+	1.36597i
$873$	36.3630	+	17.0837i	1.23070	+	0.578196i
$874$	1.30759	−	12.1411i	0.0442298	−	0.410679i
$875$	14.2294	−	20.9937i	0.481042	−	0.709717i
$876$	16.0624	+	22.8344i	0.542697	+	0.771502i
$877$	−27.2131			−0.918920			−0.459460	−	0.888198i	$-0.651957\pi$
$877$	−27.2131			−0.918920			−0.459460	+	0.888198i	$0.651957\pi$
$878$	28.6317	+	20.9146i	0.966272	+	0.705833i
$879$	20.3095	+	4.53312i	0.685021	+	0.152898i
$880$	6.50930	−	0.616680i	0.219429	−	0.0207883i
$881$		−	18.9137i		−	0.637219i	−0.947886	−	0.318610i	$-0.896784\pi$
$881$		−	18.9137i		−	0.637219i	0.947886	−	0.318610i	$-0.103216\pi$
$882$	−22.8930	−	18.9186i	−0.770847	−	0.637021i
$883$		−	4.60566i		−	0.154993i	−0.996993	−	0.0774964i	$-0.975307\pi$
$883$		−	4.60566i		−	0.154993i	0.996993	−	0.0774964i	$-0.0246926\pi$
$884$	−37.8587	+	12.0866i	−1.27333	+	0.406516i
$885$	1.34851	+	4.29844i	0.0453295	+	0.144490i
$886$	−12.2959	+	16.8329i	−0.413089	+	0.565511i
$887$	16.8474			0.565680			0.282840	−	0.959167i	$-0.408723\pi$
$887$	16.8474			0.565680			0.282840	+	0.959167i	$0.408723\pi$
$888$	42.7066	+	0.762850i	1.43314	+	0.0255996i
$889$	1.38839	−	2.04840i	0.0465652	−	0.0687011i
$890$	10.4296	+	1.12326i	0.349601	+	0.0376517i
$891$	−13.3414	+	2.27348i	−0.446954	+	0.0761646i
$892$	−33.8208	+	10.7975i	−1.13240	+	0.361526i
$893$			36.1726i			1.21047i
$894$	20.3499	+	6.89968i	0.680604	+	0.230760i
$895$	−3.48950	+	2.01467i	−0.116641	+	0.0673429i
$896$	21.9481	−	20.3539i	0.733235	−	0.679975i
$897$	−3.90726	+	17.5055i	−0.130460	+	0.584491i
$898$	47.1627	−	20.8533i	1.57384	−	0.695885i
$899$	0.843213	+	1.46049i	0.0281227	+	0.0487100i
$900$	−18.1860	−	13.9338i	−0.606200	−	0.464459i
$901$	−2.47334	+	4.28395i	−0.0823990	+	0.142719i
$902$	13.0312	+	9.51890i	0.433891	+	0.316945i
$903$	−6.01161	+	20.0231i	−0.200054	+	0.666328i
$904$	41.8880	−	8.56712i	1.39318	−	0.284938i
$905$		−	22.3014i		−	0.741323i
$906$	21.4023	+	7.25649i	0.711044	+	0.241081i
$907$		−	31.7929i		−	1.05567i	−0.849348	−	0.527833i	$-0.823005\pi$
$907$		−	31.7929i		−	1.05567i	0.849348	−	0.527833i	$-0.176995\pi$
$908$	−18.0182	+	19.8059i	−0.597955	+	0.657281i
$909$	6.16331	−	0.521381i	0.204424	−	0.0172931i
$910$	4.37156	+	12.1933i	0.144916	+	0.404205i
$911$	−16.0911	+	27.8705i	−0.533121	+	0.923392i	0.466131	+	0.884716i	$0.345647\pi$
$911$	−16.0911	+	27.8705i	−0.533121	+	0.923392i	−0.999252	+	0.0386763i	$0.987686\pi$
$912$	−16.9569	+	7.13835i	−0.561499	+	0.236375i
$913$	3.61664	−	6.26421i	0.119693	−	0.207315i
$914$	13.7424	−	18.8131i	0.454557	−	0.622281i
$915$	8.68408	+	1.93831i	0.287087	+	0.0640784i
$916$	17.5923	−	19.3377i	0.581264	−	0.638935i
$917$	−17.6071	−	11.9340i	−0.581436	−	0.394094i
$918$	−44.0496	+	12.7193i	−1.45385	+	0.419800i
$919$	12.8002	+	7.39019i	0.422239	+	0.243780i	0.696035	−	0.718008i	$-0.254946\pi$
$919$	12.8002	+	7.39019i	0.422239	+	0.243780i	−0.273796	+	0.961788i	$0.588279\pi$
$920$	3.16240	−	9.48384i	0.104261	−	0.312673i
$921$	−30.5504	+	33.2439i	−1.00667	+	1.09542i
$922$	1.47467	−	13.6925i	0.0485657	−	0.450938i
$923$	19.3945	+	33.5922i	0.638377	+	1.10570i
$924$	12.0534	+	6.68285i	0.396529	+	0.219850i
$925$	−16.6459	+	28.8315i	−0.547313	+	0.947975i
$926$	4.05342	+	2.96090i	0.133204	+	0.0973013i
$927$	8.75467	−	0.740596i	0.287541	−	0.0243244i
$928$	−11.6557	−	0.149541i	−0.382616	−	0.00490893i
$929$	−43.8195	+	25.2992i	−1.43767	+	0.830041i	−0.997688	−	0.0679648i	$-0.978349\pi$
$929$	−43.8195	+	25.2992i	−1.43767	+	0.830041i	−0.439985	+	0.898005i	$0.645016\pi$
$930$	1.43740	+	1.63784i	0.0471341	+	0.0537070i
$931$	2.67006	−	18.3961i	0.0875075	−	0.602907i
$932$	−11.1607	+	3.56312i	−0.365581	+	0.116714i
$933$	−8.55850	+	2.68497i	−0.280193	+	0.0879021i
$934$	12.6477	+	1.36215i	0.413847	+	0.0445709i
$935$	5.09940	+	8.83242i	0.166768	+	0.288851i
$936$	25.9249	−	7.62733i	0.847381	−	0.249307i
$937$	32.7292			1.06922			0.534608	−	0.845100i	$-0.320459\pi$
$937$	32.7292			1.06922			0.534608	+	0.845100i	$0.320459\pi$
$938$	22.2421	−	26.2491i	0.726231	−	0.857063i
$939$	4.36538	−	19.5579i	0.142459	−	0.638249i
$940$	−6.30563	+	28.9347i	−0.205667	+	0.943747i
$941$	−7.21031	−	4.16287i	−0.235049	−	0.135706i	0.377850	−	0.925867i	$-0.376664\pi$
$941$	−7.21031	−	4.16287i	−0.235049	−	0.135706i	−0.612899	+	0.790161i	$0.709997\pi$
$942$	−7.34393	−	8.36806i	−0.239278	−	0.272646i
$943$	21.3684	−	12.3371i	0.695852	−	0.401750i
$944$	−8.70308	−	3.98238i	−0.283261	−	0.129616i
$945$	4.64871	+	14.2027i	0.151222	+	0.462013i
$946$	1.03887	−	9.64605i	0.0337766	−	0.313620i
$947$	−25.8534	−	44.7794i	−0.840122	−	1.45513i	−0.889791	−	0.456369i	$-0.849150\pi$
$947$	−25.8534	−	44.7794i	−0.840122	−	1.45513i	0.0496684	−	0.998766i	$-0.484184\pi$
$948$	40.8832	−	28.7585i	1.32783	−	0.934031i
$949$	12.8333	−	22.2280i	0.416587	−	0.721550i
$950$	1.53552	−	14.2575i	0.0498189	−	0.462575i
$951$	39.7248	+	8.86666i	1.28816	+	0.287521i
$952$	43.1145	+	17.9205i	1.39735	+	0.580808i
$953$			23.0749i			0.747468i	0.927536	+	0.373734i	$0.121923\pi$
$953$			23.0749i			0.747468i	−0.927536	+	0.373734i	$0.878077\pi$
$954$	1.74808	−	2.87378i	0.0565963	−	0.0930421i
$955$	−15.3922	+	8.88672i	−0.498081	+	0.287567i
$956$	16.7542	+	3.65117i	0.541868	+	0.118087i
$957$	−1.60654	−	5.12093i	−0.0519321	−	0.165536i
$958$	9.70962	+	21.9596i	0.313704	+	0.709483i
$959$	24.2757	−	35.8157i	0.783903	−	1.15655i
$960$	−14.8083	+	2.75409i	−0.477937	+	0.0888877i
$961$	−15.1651	−	26.2667i	−0.489197	−	0.847314i
$962$	−15.8801	−	35.9149i	−0.511994	−	1.15794i
$963$	−29.7530	−	13.9782i	−0.958776	−	0.450443i
$964$	−3.73553	+	4.10616i	−0.120313	+	0.132250i
$965$	10.8336	+	6.25478i	0.348746	+	0.201348i
$966$	16.7980	−	12.7233i	0.540466	−	0.409367i
$967$	30.3476	−	17.5212i	0.975913	−	0.563444i	0.0748791	−	0.997193i	$-0.476143\pi$
$967$	30.3476	−	17.5212i	0.975913	−	0.563444i	0.901034	+	0.433749i	$0.142810\pi$
$968$	23.4477	+	7.81866i	0.753637	+	0.251301i
$969$	−21.1304	−	19.4183i	−0.678806	−	0.623807i
$970$	−2.20450	+	20.4690i	−0.0707822	+	0.657221i
$971$	−6.33039	+	10.9646i	−0.203152	+	0.351869i	−0.949542	−	0.313639i	$-0.898452\pi$
$971$	−6.33039	+	10.9646i	−0.203152	+	0.351869i	0.746390	+	0.665508i	$0.231785\pi$
$972$	30.1433	−	7.96109i	0.966848	−	0.255352i
$973$	61.1098	+	4.41171i	1.95909	+	0.141433i
$974$	−1.15125	−	0.840954i	−0.0368885	−	0.0269459i
$975$	−4.58836	+	20.5570i	−0.146945	+	0.658350i
$976$	−15.4064	+	10.9536i	−0.493148	+	0.350617i
$977$	−17.4860	−	10.0955i	−0.559426	−	0.322985i	0.193489	−	0.981102i	$-0.438020\pi$
$977$	−17.4860	−	10.0955i	−0.559426	−	0.322985i	−0.752915	+	0.658118i	$0.771353\pi$
$978$	−1.59686	+	1.40143i	−0.0510620	+	0.0448128i
$979$	−8.88634	−	5.13053i	−0.284009	−	0.163972i
$980$	5.34262	−	14.2497i	0.170664	−	0.455191i
$981$	35.8433	−	24.9446i	1.14439	−	0.796420i
$982$	−1.63389	+	2.23676i	−0.0521394	+	0.0713779i
$983$	−43.8020			−1.39707			−0.698534	−	0.715577i	$-0.746164\pi$
$983$	−43.8020			−1.39707			−0.698534	+	0.715577i	$0.746164\pi$
$984$	−31.8576	−	19.1596i	−1.01558	−	0.610787i
$985$	−12.6515			−0.403109
$986$	−7.35274	−	16.6292i	−0.234159	−	0.529582i
$987$	−45.4374	+	42.8008i	−1.44629	+	1.36236i
$988$	12.5117	+	11.3824i	0.398051	+	0.362123i
$989$	−12.8466	−	7.41698i	−0.408498	−	0.235846i
$990$	−3.32915	−	6.08375i	−0.105807	−	0.193354i
$991$	−24.9914	+	14.4288i	−0.793878	+	0.458346i	−0.841326	−	0.540528i	$-0.818224\pi$
$991$	−24.9914	+	14.4288i	−0.793878	+	0.458346i	0.0474481	+	0.998874i	$0.484891\pi$
$992$	−4.62923	−	0.0593926i	−0.146978	−	0.00188572i
$993$	−25.6056	−	5.71524i	−0.812570	−	0.181368i
$994$	8.12969	−	44.8406i	0.257858	−	1.42226i
$995$	−8.87818	−	15.3775i	−0.281457	−	0.487498i
$996$	−7.00944	+	15.1169i	−0.222103	+	0.478997i
$997$	−23.7242			−0.751352			−0.375676	−	0.926751i	$-0.622589\pi$
$997$	−23.7242			−0.751352			−0.375676	+	0.926751i	$0.622589\pi$
$998$	35.4829	−	15.6890i	1.12319	−	0.496628i
$999$	−17.1567	−	41.9301i	−0.542814	−	1.32661i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.191.28	yes	88
3.2	odd	2		756.2.o.a.359.17		88
4.3	odd	2	inner	252.2.o.a.191.14	yes	88
7.4	even	3		252.2.bb.a.11.3	yes	88
9.4	even	3		756.2.bb.a.611.3		88
9.5	odd	6		252.2.bb.a.23.42	yes	88
12.11	even	2		756.2.o.a.359.31		88
21.11	odd	6		756.2.bb.a.683.42		88
28.11	odd	6		252.2.bb.a.11.42	yes	88
36.23	even	6		252.2.bb.a.23.3	yes	88
36.31	odd	6		756.2.bb.a.611.42		88
63.4	even	3		756.2.o.a.179.31		88
63.32	odd	6	inner	252.2.o.a.95.14	✓	88
84.11	even	6		756.2.bb.a.683.3		88
252.67	odd	6		756.2.o.a.179.17		88
252.95	even	6	inner	252.2.o.a.95.28	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.14	✓	88	63.32	odd	6	inner
252.2.o.a.95.28	yes	88	252.95	even	6	inner
252.2.o.a.191.14	yes	88	4.3	odd	2	inner
252.2.o.a.191.28	yes	88	1.1	even	1	trivial
252.2.bb.a.11.3	yes	88	7.4	even	3
252.2.bb.a.11.42	yes	88	28.11	odd	6
252.2.bb.a.23.3	yes	88	36.23	even	6
252.2.bb.a.23.42	yes	88	9.5	odd	6
756.2.o.a.179.17		88	252.67	odd	6
756.2.o.a.179.31		88	63.4	even	3
756.2.o.a.359.17		88	3.2	odd	2
756.2.o.a.359.31		88	12.11	even	2
756.2.bb.a.611.3		88	9.4	even	3
756.2.bb.a.611.42		88	36.31	odd	6
756.2.bb.a.683.3		88	84.11	even	6
756.2.bb.a.683.42		88	21.11	odd	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.571896 + 1.29342i) q^{2} +(1.27532 + 1.17199i) q^{3} +(-1.34587 + 1.47940i) q^{4} +1.08703i q^{5} +(-0.786525 + 2.31978i) q^{6} +(-2.19009 - 1.48443i) q^{7} +(-2.68319 - 0.894712i) q^{8} +(0.252880 + 2.98932i) q^{9} +O(q^{10})\)	\(q+(0.571896 + 1.29342i) q^{2} +(1.27532 + 1.17199i) q^{3} +(-1.34587 + 1.47940i) q^{4} +1.08703i q^{5} +(-0.786525 + 2.31978i) q^{6} +(-2.19009 - 1.48443i) q^{7} +(-2.68319 - 0.894712i) q^{8} +(0.252880 + 2.98932i) q^{9} +(-1.40598 + 0.621665i) q^{10} +1.50375 q^{11} +(-3.45026 + 0.309364i) q^{12} +(1.59238 + 2.75809i) q^{13} +(0.667488 - 3.68164i) q^{14} +(-1.27398 + 1.38630i) q^{15} +(-0.377264 - 3.98217i) q^{16} +(5.40337 - 3.11964i) q^{17} +(-3.72183 + 2.03666i) q^{18} +(-2.29977 - 1.32777i) q^{19} +(-1.60815 - 1.46300i) q^{20} +(-1.05332 - 4.45988i) q^{21} +(0.859987 + 1.94498i) q^{22} +3.25157 q^{23} +(-2.37333 - 4.28571i) q^{24} +3.81838 q^{25} +(-2.65669 + 3.63696i) q^{26} +(-3.18095 + 4.10871i) q^{27} +(5.14364 - 1.24217i) q^{28} +(-1.78455 - 1.03031i) q^{29} +(-2.52166 - 0.854973i) q^{30} +(-0.708761 - 0.409204i) q^{31} +(4.93486 - 2.76535i) q^{32} +(1.91776 + 1.76238i) q^{33} +(7.12517 + 5.20472i) q^{34} +(1.61361 - 2.38068i) q^{35} +(-4.76276 - 3.64913i) q^{36} +(-4.35941 + 7.55073i) q^{37} +(0.402140 - 3.73392i) q^{38} +(-1.20165 + 5.38370i) q^{39} +(0.972575 - 2.91669i) q^{40} +(6.57171 - 3.79418i) q^{41} +(5.16610 - 3.91298i) q^{42} +(-3.95088 - 2.28104i) q^{43} +(-2.02385 + 2.22465i) q^{44} +(-3.24947 + 0.274887i) q^{45} +(1.85956 + 4.20565i) q^{46} +(-6.81076 - 11.7966i) q^{47} +(4.18593 - 5.52069i) q^{48} +(2.59295 + 6.50205i) q^{49} +(2.18371 + 4.93876i) q^{50} +(10.5472 + 2.35416i) q^{51} +(-6.22346 - 1.35625i) q^{52} +(-0.686610 + 0.396415i) q^{53} +(-7.13347 - 1.76455i) q^{54} +1.63461i q^{55} +(4.54827 + 5.94249i) q^{56} +(-1.37681 - 4.38864i) q^{57} +(0.312047 - 2.89740i) q^{58} +(1.19637 - 2.07217i) q^{59} +(-0.336287 - 3.75052i) q^{60} +(-2.36293 - 4.09272i) q^{61} +(0.123935 - 1.15075i) q^{62} +(3.88361 - 6.92225i) q^{63} +(6.39898 + 4.80136i) q^{64} +(-2.99811 + 1.73096i) q^{65} +(-1.18274 + 3.48836i) q^{66} +(7.96329 + 4.59761i) q^{67} +(-2.65704 + 12.1924i) q^{68} +(4.14680 + 3.81081i) q^{69} +(4.00203 + 0.725576i) q^{70} +12.1795 q^{71} +(1.99606 - 8.24717i) q^{72} +(-4.02960 - 6.97947i) q^{73} +(-12.2594 - 1.32033i) q^{74} +(4.86965 + 4.47510i) q^{75} +(5.05951 - 1.61528i) q^{76} +(-3.29334 - 2.23221i) q^{77} +(-7.65060 + 1.52467i) q^{78} +(-12.4962 + 7.21470i) q^{79} +(4.32872 - 0.410095i) q^{80} +(-8.87210 + 1.51188i) q^{81} +(8.66581 + 6.33011i) q^{82} +(2.40508 - 4.16573i) q^{83} +(8.01559 + 4.44413i) q^{84} +(3.39113 + 5.87360i) q^{85} +(0.690854 - 6.41467i) q^{86} +(-1.06836 - 3.40545i) q^{87} +(-4.03484 - 1.34542i) q^{88} +(-5.90946 - 3.41183i) q^{89} +(-2.21390 - 4.04572i) q^{90} +(0.606727 - 8.40422i) q^{91} +(-4.37620 + 4.81039i) q^{92} +(-0.424315 - 1.35253i) q^{93} +(11.3629 - 15.5556i) q^{94} +(1.44332 - 2.49991i) q^{95} +(9.53448 + 2.25691i) q^{96} +(6.69603 - 11.5979i) q^{97} +(-6.92698 + 7.07227i) q^{98} +(0.380268 + 4.49519i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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