LMFDB - Embedded newform 252.2.o.a.95.14

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			95.14
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.834187 + 1.14199i) q^{2} +(-1.27532 + 1.17199i) q^{3} +(-0.608265 - 1.90526i) q^{4} -1.08703i q^{5} +(-0.274541 - 2.43406i) q^{6} +(2.19009 - 1.48443i) q^{7} +(2.68319 + 0.894712i) q^{8} +(0.252880 - 2.98932i) q^{9} +O(q^{10})$	\(q+(-0.834187 + 1.14199i) q^{2} +(-1.27532 + 1.17199i) q^{3} +(-0.608265 - 1.90526i) q^{4} -1.08703i q^{5} +(-0.274541 - 2.43406i) q^{6} +(2.19009 - 1.48443i) q^{7} +(2.68319 + 0.894712i) q^{8} +(0.252880 - 2.98932i) q^{9} +(1.24137 + 0.906782i) q^{10} -1.50375 q^{11} +(3.00868 + 1.71693i) q^{12} +(1.59238 - 2.75809i) q^{13} +(-0.131745 + 3.73934i) q^{14} +(1.27398 + 1.38630i) q^{15} +(-3.26003 + 2.31780i) q^{16} +(5.40337 + 3.11964i) q^{17} +(3.20282 + 2.78244i) q^{18} +(2.29977 - 1.32777i) q^{19} +(-2.07106 + 0.661199i) q^{20} +(-1.05332 + 4.45988i) q^{21} +(1.25441 - 1.71726i) q^{22} -3.25157 q^{23} +(-4.47051 + 2.00362i) q^{24} +3.81838 q^{25} +(1.82135 + 4.11924i) q^{26} +(3.18095 + 4.10871i) q^{27} +(-4.16037 - 3.26976i) q^{28} +(-1.78455 + 1.03031i) q^{29} +(-2.64588 + 0.298433i) q^{30} +(0.708761 - 0.409204i) q^{31} +(0.0725710 - 5.65639i) q^{32} +(1.91776 - 1.76238i) q^{33} +(-8.07001 + 3.56822i) q^{34} +(-1.61361 - 2.38068i) q^{35} +(-5.84925 + 1.33650i) 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} +(-4.21445 - 4.92325i) q^{42} +(3.95088 - 2.28104i) q^{43} +(0.914677 + 2.86503i) q^{44} +(-3.24947 - 0.274887i) q^{45} +(2.71242 - 3.71325i) q^{46} +(6.81076 - 11.7966i) q^{47} +(1.44113 - 6.77666i) q^{48} +(2.59295 - 6.50205i) q^{49} +(-3.18524 + 4.36053i) q^{50} +(-10.5472 + 2.35416i) q^{51} +(-6.22346 - 1.35625i) q^{52} +(-0.686610 - 0.396415i) q^{53} +(-7.34560 + 0.205170i) q^{54} +1.63461i q^{55} +(7.20454 - 2.02350i) q^{56} +(-1.37681 + 4.38864i) q^{57} +(0.312047 - 2.89740i) q^{58} +(-1.19637 - 2.07217i) q^{59} +(1.86635 - 3.27051i) 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} +(0.412841 + 3.66021i) q^{66} +(-7.96329 + 4.59761i) q^{67} +(2.65704 - 12.1924i) q^{68} +(4.14680 - 3.81081i) q^{69} +(4.06475 + 0.143210i) q^{70} -12.1795 q^{71} +(3.35311 - 7.79466i) q^{72} +(-4.02960 + 6.97947i) q^{73} +(12.2594 + 1.32033i) q^{74} +(-4.86965 + 4.47510i) q^{75} +(-3.92862 - 3.57402i) q^{76} +(-3.29334 + 2.23221i) q^{77} +(-7.15051 - 3.11874i) q^{78} +(12.4962 + 7.21470i) q^{79} +(2.51951 + 3.54373i) q^{80} +(-8.87210 - 1.51188i) q^{81} +(-9.81494 + 4.33975i) q^{82} +(-2.40508 - 4.16573i) q^{83} +(9.13792 - 0.705929i) 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} +(3.02458 - 3.48154i) q^{90} +(-0.606727 - 8.40422i) q^{91} +(1.97782 + 6.19509i) q^{92} +(-0.424315 + 1.35253i) q^{93} +(7.79008 + 17.6183i) q^{94} +(-1.44332 - 2.49991i) q^{95} +(6.53668 + 7.29876i) q^{96} +(6.69603 + 11.5979i) q^{97} +(5.26224 + 8.38503i) 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 $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−0.834187	+	1.14199i	−0.589859	+	0.807506i
$2$	−0.834187	+	1.14199i	−0.589859	+	0.807506i
$3$	−1.27532	+	1.17199i	−0.736306	+	0.676649i
$3$	−1.27532	+	1.17199i	−0.736306	+	0.676649i
$4$	−0.608265	−	1.90526i	−0.304132	−	0.952630i
$5$		−	1.08703i		−	0.486132i	−0.970010	−	0.243066i	$-0.921847\pi$
$5$		−	1.08703i		−	0.486132i	0.970010	−	0.243066i	$-0.0781532\pi$
$6$	−0.274541	−	2.43406i	−0.112081	−	0.993699i
$7$	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
$10$	1.24137	+	0.906782i	0.392555	+	0.286750i
$11$	−1.50375			−0.453397			−0.226699	−	0.973965i	$-0.572793\pi$
$11$	−1.50375			−0.453397			−0.226699	+	0.973965i	$0.572793\pi$
$12$	3.00868	+	1.71693i	0.868530	+	0.495636i
$13$	1.59238	−	2.75809i	0.441647	−	0.764955i	−0.556165	−	0.831072i	$-0.687728\pi$
$13$	1.59238	−	2.75809i	0.441647	−	0.764955i	0.997812	+	0.0661167i	$0.0210610\pi$
$14$	−0.131745	+	3.73934i	−0.0352102	+	0.999380i
$15$	1.27398	+	1.38630i	0.328941	+	0.357942i
$16$	−3.26003	+	2.31780i	−0.815007	+	0.579451i
$17$	5.40337	+	3.11964i	1.31051	+	0.756624i	0.982181	−	0.187939i	$-0.0601808\pi$
$17$	5.40337	+	3.11964i	1.31051	+	0.756624i	0.328330	+	0.944563i	$0.393514\pi$
$18$	3.20282	+	2.78244i	0.754911	+	0.655827i
$19$	2.29977	−	1.32777i	0.527604	−	0.304612i	−0.212436	−	0.977175i	$-0.568140\pi$
$19$	2.29977	−	1.32777i	0.527604	−	0.304612i	0.740040	+	0.672563i	$0.234806\pi$
$20$	−2.07106	+	0.661199i	−0.463104	+	0.147849i
$21$	−1.05332	+	4.45988i	−0.229854	+	0.973225i
$22$	1.25441	−	1.71726i	0.267440	−	0.366121i
$23$	−3.25157			−0.678000			−0.339000	−	0.940786i	$-0.610089\pi$
$23$	−3.25157			−0.678000			−0.339000	+	0.940786i	$0.610089\pi$
$24$	−4.47051	+	2.00362i	−0.912540	+	0.408988i
$25$	3.81838			0.763675
$26$	1.82135	+	4.11924i	0.357197	+	0.807849i
$27$	3.18095	+	4.10871i	0.612175	+	0.790722i
$28$	−4.16037	−	3.26976i	−0.786236	−	0.617926i
$29$	−1.78455	+	1.03031i	−0.331382	+	0.191324i	−0.656455	−	0.754365i	$-0.727945\pi$
$29$	−1.78455	+	1.03031i	−0.331382	+	0.191324i	0.325072	+	0.945689i	$0.394611\pi$
$30$	−2.64588	+	0.298433i	−0.483069	+	0.0544862i
$31$	0.708761	−	0.409204i	0.127297	−	0.0734951i	−0.434999	−	0.900431i	$-0.643251\pi$
$31$	0.708761	−	0.409204i	0.127297	−	0.0734951i	0.562296	+	0.826936i	$0.309918\pi$
$32$	0.0725710	−	5.65639i	0.0128289	−	0.999918i
$33$	1.91776	−	1.76238i	0.333839	−	0.306791i
$34$	−8.07001	+	3.56822i	−1.38400	+	0.611944i
$35$	−1.61361	−	2.38068i	−0.272750	−	0.402408i
$36$	−5.84925	+	1.33650i	−0.974876	+	0.222750i
$37$	−4.35941	−	7.55073i	−0.716683	−	1.24133i	−0.962307	−	0.271967i	$-0.912326\pi$
$37$	−4.35941	−	7.55073i	−0.716683	−	1.24133i	0.245623	−	0.969365i	$-0.421007\pi$
$38$	−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	0.915931	−	0.401336i	$-0.131454\pi$
$41$	6.57171	+	3.79418i	1.02633	+	0.592552i	0.110398	+	0.993887i	$0.464787\pi$
$42$	−4.21445	−	4.92325i	−0.650304	−	0.759674i
$43$	3.95088	−	2.28104i	0.602504	−	0.347856i	−0.167522	−	0.985868i	$-0.553577\pi$
$43$	3.95088	−	2.28104i	0.602504	−	0.347856i	0.770026	+	0.638012i	$0.220243\pi$
$44$	0.914677	+	2.86503i	0.137893	+	0.431920i
$45$	−3.24947	−	0.274887i	−0.484402	−	0.0409777i
$46$	2.71242	−	3.71325i	0.399925	−	0.547489i
$47$	6.81076	−	11.7966i	0.993451	−	1.72071i	0.397775	−	0.917483i	$-0.369783\pi$
$47$	6.81076	−	11.7966i	0.993451	−	1.72071i	0.595676	−	0.803225i	$-0.296884\pi$
$48$	1.44113	−	6.77666i	0.208010	−	0.978127i
$49$	2.59295	−	6.50205i	0.370421	−	0.928864i
$50$	−3.18524	+	4.36053i	−0.450461	+	0.616673i
$51$	−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	0.452102	−	0.891966i	$-0.350674\pi$
$53$	−0.686610	−	0.396415i	−0.0943132	−	0.0544517i	−0.546415	+	0.837515i	$0.684008\pi$
$54$	−7.34560	+	0.205170i	−0.999610	+	0.0279201i
$55$			1.63461i			0.220411i
$56$	7.20454	−	2.02350i	0.962748	−	0.270402i
$57$	−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	$-0.216447\pi$
$59$	−1.19637	−	2.07217i	−0.155754	−	0.269773i	−0.933333	+	0.359011i	$0.883114\pi$
$60$	1.86635	−	3.27051i	0.240945	−	0.422221i
$61$	−2.36293	+	4.09272i	−0.302542	+	0.524019i	−0.976711	−	0.214559i	$-0.931169\pi$
$61$	−2.36293	+	4.09272i	−0.302542	+	0.524019i	0.674169	+	0.738577i	$0.264502\pi$
$62$	−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
$66$	0.412841	+	3.66021i	0.0508172	+	0.450540i
$67$	−7.96329	+	4.59761i	−0.972870	+	0.561687i	−0.900110	−	0.435663i	$-0.856514\pi$
$67$	−7.96329	+	4.59761i	−0.972870	+	0.561687i	−0.0727602	+	0.997349i	$0.523181\pi$
$68$	2.65704	−	12.1924i	0.322213	−	1.47855i
$69$	4.14680	−	3.81081i	0.499216	−	0.458768i
$70$	4.06475	+	0.143210i	0.485831	+	0.0171168i
$71$	−12.1795			−1.44545			−0.722723	−	0.691138i	$-0.757110\pi$
$71$	−12.1795			−1.44545			−0.722723	+	0.691138i	$0.757110\pi$
$72$	3.35311	−	7.79466i	0.395168	−	0.918609i
$73$	−4.02960	+	6.97947i	−0.471629	+	0.816886i	−0.999473	−	0.0324557i	$-0.989667\pi$
$73$	−4.02960	+	6.97947i	−0.471629	+	0.816886i	0.527844	+	0.849341i	$0.323001\pi$
$74$	12.2594	+	1.32033i	1.42513	+	0.153485i
$75$	−4.86965	+	4.47510i	−0.562299	+	0.516740i
$76$	−3.92862	−	3.57402i	−0.450644	−	0.409969i
$77$	−3.29334	+	2.23221i	−0.375311	+	0.254383i
$78$	−7.15051	−	3.11874i	−0.809636	−	0.353127i
$79$	12.4962	+	7.21470i	1.40593	+	0.811717i	0.994993	−	0.0999448i	$-0.0318666\pi$
$79$	12.4962	+	7.21470i	1.40593	+	0.811717i	0.410942	+	0.911662i	$0.365200\pi$
$80$	2.51951	+	3.54373i	0.281690	+	0.396201i
$81$	−8.87210	−	1.51188i	−0.985789	−	0.167987i
$82$	−9.81494	+	4.33975i	−1.08388	+	0.479245i
$83$	−2.40508	−	4.16573i	−0.263992	−	0.457248i	0.703307	−	0.710886i	$-0.251706\pi$
$83$	−2.40508	−	4.16573i	−0.263992	−	0.457248i	−0.967299	+	0.253638i	$0.918373\pi$
$84$	9.13792	−	0.705929i	0.997029	−	0.0770232i
$85$	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	−0.779357	−	0.626580i	$-0.784454\pi$
$89$	−5.90946	+	3.41183i	−0.626401	+	0.361653i	0.152956	+	0.988233i	$0.451121\pi$
$90$	3.02458	−	3.48154i	0.318819	−	0.366987i
$91$	−0.606727	−	8.40422i	−0.0636023	−	0.881002i
$92$	1.97782	+	6.19509i	0.206202	+	0.645883i
$93$	−0.424315	+	1.35253i	−0.0439994	+	0.140250i
$94$	7.79008	+	17.6183i	0.803486	+	1.81719i
$95$	−1.44332	−	2.49991i	−0.148082	−	0.256485i
$96$	6.53668	+	7.29876i	0.667147	+	0.744926i
$97$	6.69603	+	11.5979i	0.679879	+	1.17758i	0.975017	+	0.222130i	$0.0713008\pi$
$97$	6.69603	+	11.5979i	0.679879	+	1.17758i	−0.295139	+	0.955454i	$0.595366\pi$
$98$	5.26224	+	8.38503i	0.531567	+	0.847016i
$99$	−0.380268	+	4.49519i	−0.0382183	+	0.451784i
$100$	−2.32258	−	7.27500i	−0.232258	−	0.727500i
$101$			2.06177i			0.205154i	0.994725	+	0.102577i	$0.0327088\pi$
$101$			2.06177i			0.205154i	−0.994725	+	0.102577i	$0.967291\pi$
$102$	6.10993	−	14.0086i	0.604973	−	1.38706i
$103$		−	2.92865i		−	0.288568i	−0.989536	−	0.144284i	$-0.953912\pi$
$103$		−	2.92865i		−	0.288568i	0.989536	−	0.144284i	$-0.0460879\pi$
$104$	6.74035	−	5.97574i	0.660946	−	0.585969i
$105$	4.84800	+	1.14499i	0.473116	+	0.111740i
$106$	1.02546	−	0.453416i	0.0996016	−	0.0440396i
$107$	5.47882	+	9.48960i	0.529658	+	0.917394i	0.999402	+	0.0345915i	$0.0110130\pi$
$107$	5.47882	+	9.48960i	0.529658	+	0.917394i	−0.469744	+	0.882803i	$0.655654\pi$
$108$	5.89331	−	8.55973i	0.567084	−	0.823660i
$109$	−7.27816	+	12.6061i	−0.697122	+	1.20745i	0.272339	+	0.962201i	$0.412203\pi$
$109$	−7.27816	+	12.6061i	−0.697122	+	1.20745i	−0.969460	+	0.245248i	$0.921130\pi$
$110$	−1.86670	−	1.36357i	−0.177983	−	0.130011i
$111$	14.4090	+	4.52040i	1.36764	+	0.429057i
$112$	−3.69913	+	9.91547i	−0.349535	+	0.936923i
$113$	−13.0910	−	7.55811i	−1.23150	−	0.711008i	−0.264158	−	0.964479i	$-0.585094\pi$
$113$	−13.0910	−	7.55811i	−1.23150	−	0.711008i	−0.967343	+	0.253472i	$0.918428\pi$
$114$	−3.86326	−	5.23324i	−0.361827	−	0.490138i
$115$			3.53454i			0.329598i
$116$	3.04849	+	2.77333i	0.283045	+	0.257497i
$117$	−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
$120$	2.17799	+	4.85956i	0.198822	+	0.443615i
$121$	−8.73874			−0.794431
$122$	−2.70270	−	6.11252i	−0.244691	−	0.553402i
$123$	−12.8278	+	2.86319i	−1.15664	+	0.258165i
$124$	−1.21075	−	1.10147i	−0.108729	−	0.0989149i
$125$		−	9.58580i		−	0.857380i
$126$	11.1448	+	1.33943i	0.992855	+	0.119326i
$127$			0.935305i			0.0829949i	0.999139	+	0.0414975i	$0.0132128\pi$
$127$			0.935305i			0.0829949i	−0.999139	+	0.0414975i	$0.986787\pi$
$128$	−10.8210	+	3.30232i	−0.956453	+	0.291886i
$129$	−2.36528	+	7.53945i	−0.208251	+	0.663812i
$130$	4.47771	−	1.97986i	0.392721	−	0.173645i
$131$	−8.03944			−0.702409			−0.351204	−	0.936299i	$-0.614228\pi$
$131$	−8.03944			−0.702409			−0.351204	+	0.936299i	$0.614228\pi$
$132$	−4.52429	−	2.58184i	−0.393789	−	0.224720i
$133$	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
$136$	11.7071	+	13.2050i	1.00387	+	1.13232i
$137$		−	16.3536i		−	1.39718i	−0.715522	−	0.698590i	$-0.753811\pi$
$137$		−	16.3536i		−	1.39718i	0.715522	−	0.698590i	$-0.246189\pi$
$138$	0.892692	+	7.91451i	0.0759910	+	0.673728i
$139$	20.0549	+	11.5787i	1.70104	+	0.982095i	0.944713	+	0.327899i	$0.106341\pi$
$139$	20.0549	+	11.5787i	1.70104	+	0.982095i	0.756325	+	0.654196i	$0.226993\pi$
$140$	−3.55431	+	4.52243i	−0.300394	+	0.382215i
$141$	5.13958	+	23.0265i	0.432830	+	1.93918i
$142$	10.1600	−	13.9089i	0.852609	−	1.16721i
$143$	−2.39454	+	4.14747i	−0.200242	+	0.346829i
$144$	6.10427	+	10.3314i	0.508689	+	0.860950i
$145$	1.11997	+	1.93985i	0.0930086	+	0.161096i
$146$	−4.60902	−	10.4239i	−0.381445	−	0.862691i
$147$	4.31349	+	11.3311i	0.355771	+	0.934573i
$148$	−11.7344	+	12.8987i	−0.964563	+	1.06026i
$149$			8.77236i			0.718660i	0.933211	+	0.359330i	$0.116995\pi$
$149$			8.77236i			0.718660i	−0.933211	+	0.359330i	$0.883005\pi$
$150$	−1.04830	−	9.29414i	−0.0855936	−	0.758863i
$151$		−	9.22600i		−	0.750802i	−0.926863	−	0.375401i	$-0.877505\pi$
$151$		−	9.22600i		−	0.750802i	0.926863	−	0.375401i	$-0.122495\pi$
$152$	7.35869	−	1.50503i	0.596869	−	0.122074i
$153$	10.6920	−	15.3635i	0.864398	−	1.24207i
$154$	0.198111	−	5.62302i	0.0159642	−	0.453116i
$155$	−0.444814	−	0.770441i	−0.0357284	−	0.0618833i
$156$	9.52641	−	5.56417i	0.762724	−	0.445490i
$157$	−2.27264	−	3.93633i	−0.181377	−	0.314154i	0.760973	−	0.648784i	$-0.224722\pi$
$157$	−2.27264	−	3.93633i	−0.181377	−	0.314154i	−0.942350	+	0.334630i	$0.891389\pi$
$158$	−18.6633	+	8.25211i	−1.48477	+	0.656502i
$159$	1.34024	−	0.299145i	0.106288	−	0.0237237i
$160$	−6.14864	−	0.0788865i	−0.486092	−	0.00623652i
$161$	−7.12123	+	4.82673i	−0.561231	+	0.380399i
$162$	9.12754	−	8.87063i	0.717127	−	0.696943i
$163$	−0.751164	+	0.433685i	−0.0588357	+	0.0339688i	−0.529129	−	0.848541i	$-0.677481\pi$
$163$	−0.751164	+	0.433685i	−0.0588357	+	0.0339688i	0.470294	+	0.882510i	$0.344148\pi$
$164$	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	$-0.777684\pi$
$167$	2.24779	−	3.89329i	0.173939	−	0.301272i	0.939794	+	0.341742i	$0.111017\pi$
$168$	−6.81657	+	11.0243i	−0.525910	+	0.850540i
$169$	1.42864	+	2.47448i	0.109895	+	0.190345i
$170$	3.87874	+	8.77230i	0.297486	+	0.672805i
$171$	−3.38758	−	7.21053i	−0.259055	−	0.551403i
$172$	−6.74916	−	6.13998i	−0.514619	−	0.468169i
$173$	17.2250	+	9.94485i	1.30959	+	0.756093i	0.982028	−	0.188736i	$-0.0604392\pi$
$173$	17.2250	+	9.94485i	1.30959	+	0.756093i	0.327563	+	0.944829i	$0.393773\pi$
$174$	2.99776	+	4.06083i	0.227260	+	0.307851i
$175$	8.36257	−	5.66810i	0.632151	−	0.428468i
$176$	4.90226	−	3.48540i	0.369522	−	0.262722i
$177$	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	$-0.877570\pi$
$179$	−1.85338	+	3.21014i	−0.138528	+	0.239937i	0.788412	+	0.615148i	$0.210904\pi$
$180$	1.45281	+	6.35829i	0.108286	+	0.473919i
$181$	−20.5160			−1.52494			−0.762470	−	0.647024i	$-0.776013\pi$
$181$	−20.5160			−1.52494			−0.762470	+	0.647024i	$0.776013\pi$
$182$	10.1036	+	6.31782i	0.748931	+	0.468308i
$183$	−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
$186$	−1.19061	−	1.61282i	−0.0872996	−	0.118258i
$187$	−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	0.402484	+	0.915427i	$0.368147\pi$
$191$	−8.17527	+	14.1600i	−0.591541	+	1.02458i	−0.994025	+	0.109153i	$0.965186\pi$
$192$	−13.7879	+	1.37627i	−0.995055	+	0.0993238i
$193$	5.75403	+	9.96628i	0.414184	+	0.717388i	0.995342	−	0.0964023i	$-0.0307335\pi$
$193$	5.75403	+	9.96628i	0.414184	+	0.717388i	−0.581158	+	0.813791i	$0.697400\pi$
$194$	−18.8303	−	2.02801i	−1.35194	−	0.145603i
$195$	5.85221	−	1.30623i	0.419086	−	0.0935409i
$196$	−13.9653	−	0.985275i	−0.997520	−	0.0703768i
$197$		−	11.6386i		−	0.829217i	−0.910000	−	0.414608i	$-0.863919\pi$
$197$		−	11.6386i		−	0.829217i	0.910000	−	0.414608i	$-0.136081\pi$
$198$	−4.81623	−	4.18409i	−0.342275	−	0.297350i
$199$	14.1464	+	8.16741i	1.00281	+	0.578972i	0.909078	−	0.416625i	$-0.136787\pi$
$199$	14.1464	+	8.16741i	1.00281	+	0.578972i	0.0937311	+	0.995598i	$0.470121\pi$
$200$	10.2454	+	3.41635i	0.724460	+	0.241572i
$201$	4.76739	−	15.1963i	0.336266	−	1.07186i
$202$	−2.35452	−	1.71990i	−0.165663	−	0.121012i
$203$	−2.37889	+	4.90550i	−0.166966	+	0.344299i
$204$	10.9008	+	18.6632i	0.763208	+	1.30669i
$205$	4.12437	−	7.14362i	0.288059	−	0.498932i
$206$	3.34447	+	2.44304i	0.233021	+	0.170215i
$207$	−0.822257	+	9.72001i	−0.0571508	+	0.675587i
$208$	1.20150	+	12.6823i	0.0833088	+	0.879357i
$209$	−3.45828	+	1.99664i	−0.239214	+	0.138110i
$210$	−5.35170	+	4.58121i	−0.369302	+	0.316134i
$211$	−19.4336	−	11.2200i	−1.33786	−	0.772416i	−0.351373	−	0.936235i	$-0.614285\pi$
$211$	−19.4336	−	11.2200i	−1.33786	−	0.772416i	−0.986490	+	0.163820i	$0.947619\pi$
$212$	−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
$216$	4.85897	+	13.8705i	0.330611	+	0.943767i
$217$	0.944815	−	1.94830i	0.0641382	−	0.132259i
$218$	−8.32470	−	18.8274i	−0.563820	−	1.27516i
$219$	−3.04084	−	13.6237i	−0.205481	−	0.920605i
$220$	3.11436	−	0.994277i	0.209970	−	0.0670341i
$221$	17.2085	−	9.93531i	1.15757	−	0.668322i
$222$	−17.1821	+	12.6840i	−1.15318	+	0.851297i
$223$	−15.3730	+	8.87563i	−1.02946	+	0.594356i	−0.916829	−	0.399281i	$-0.869260\pi$
$223$	−15.3730	+	8.87563i	−1.02946	+	0.594356i	−0.112627	+	0.993637i	$0.535926\pi$
$224$	−8.23756	−	12.4957i	−0.550395	−	0.834904i
$225$	0.965590	−	11.4144i	0.0643727	−	0.760957i
$226$	19.5516	−	8.64491i	1.30056	−	0.575051i
$227$	−13.3878			−0.888577			−0.444288	−	0.895884i	$-0.646543\pi$
$227$	−13.3878			−0.888577			−0.444288	+	0.895884i	$0.646543\pi$
$228$	9.19897	−	0.0462850i	0.609217	−	0.00306530i
$229$	−13.0713			−0.863774			−0.431887	−	0.901928i	$-0.642152\pi$
$229$	−13.0713			−0.863774			−0.431887	+	0.901928i	$0.642152\pi$
$230$	−4.03640	−	2.94847i	−0.266152	−	0.194416i
$231$	1.58394	−	6.70653i	0.104215	−	0.441257i
$232$	−5.71011	+	1.16786i	−0.374887	+	0.0766735i
$233$	5.07304	−	2.92892i	0.332346	−	0.191880i	−0.324536	−	0.945873i	$-0.605208\pi$
$233$	5.07304	−	2.92892i	0.332346	−	0.191880i	0.656882	+	0.753993i	$0.271875\pi$
$234$	12.7743	−	4.40294i	0.835083	−	0.287829i
$235$	−12.8232	−	7.40346i	−0.836492	−	0.482949i
$236$	−3.22031	+	3.53982i	−0.209624	+	0.230423i
$237$	−24.3922	+	5.44440i	−1.58445	+	0.353652i
$238$	−12.3772	+	19.7940i	−0.802298	+	1.28306i
$239$	4.28685	−	7.42504i	0.277293	−	0.480286i	−0.693418	−	0.720536i	$-0.743896\pi$
$239$	4.28685	−	7.42504i	0.277293	−	0.480286i	0.970711	+	0.240250i	$0.0772293\pi$
$240$	−7.36640	−	1.56655i	−0.475499	−	0.101120i
$241$	2.77555			0.178789			0.0893945	−	0.995996i	$-0.471507\pi$
$241$	2.77555			0.178789			0.0893945	+	0.995996i	$0.471507\pi$
$242$	7.28974	−	9.97952i	0.468602	−	0.641508i
$243$	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
$246$	7.43104	−	17.0376i	0.473786	−	1.08628i
$247$		−	8.45729i		−	0.538125i
$248$	2.26786	−	0.463832i	0.144009	−	0.0294534i
$249$	7.94944	+	2.49390i	0.503775	+	0.158045i
$250$	10.9468	+	7.99634i	0.692339	+	0.505733i
$251$	5.34591			0.337431			0.168716	−	0.985665i	$-0.446038\pi$
$251$	5.34591			0.337431			0.168716	+	0.985665i	$0.446038\pi$
$252$	−10.8264	+	11.6098i	−0.682001	+	0.731351i
$253$	4.88955			0.307403
$254$	−1.06811	−	0.780219i	−0.0670189	−	0.0489553i
$255$	2.55903	+	11.4651i	0.160253	+	0.717972i
$256$	5.25556	−	15.1122i	0.328473	−	0.944513i
$257$		−	2.19992i		−	0.137227i	−0.997643	−	0.0686135i	$-0.978142\pi$
$257$		−	2.19992i		−	0.137227i	0.997643	−	0.0686135i	$-0.0218575\pi$
$258$	−6.63687	−	8.99043i	−0.413193	−	0.559720i
$259$	−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
$262$	6.70639	−	9.18093i	0.414322	−	0.567200i
$263$	6.25322			0.385590			0.192795	−	0.981239i	$-0.438245\pi$
$263$	6.25322			0.385590			0.192795	+	0.981239i	$0.438245\pi$
$264$	6.72253	−	3.01295i	0.413743	−	0.185434i
$265$	−0.430913	+	0.746363i	−0.0264708	+	0.0458487i
$266$	4.66201	+	8.77455i	0.285846	+	0.538002i
$267$	3.53782	−	11.2770i	0.216511	−	0.690141i
$268$	13.6034	+	12.3756i	0.830961	+	0.755958i
$269$	7.71725	+	4.45555i	0.470529	+	0.271660i	0.716461	−	0.697627i	$-0.245761\pi$
$269$	7.71725	+	4.45555i	0.470529	+	0.271660i	−0.245932	+	0.969287i	$0.579094\pi$
$270$	0.223025	+	7.98486i	0.0135728	+	0.485943i
$271$	−2.17320	+	1.25470i	−0.132013	+	0.0762175i	−0.564552	−	0.825398i	$-0.690951\pi$
$271$	−2.17320	+	1.25470i	−0.132013	+	0.0762175i	0.432539	+	0.901615i	$0.357618\pi$
$272$	−24.8459	+	2.35386i	−1.50650	+	0.142723i
$273$	10.6234	+	10.0070i	0.642959	+	0.605650i
$274$	18.6756	+	13.6419i	1.12823	+	0.824140i
$275$	−5.74188			−0.346248
$276$	−9.78294	−	5.58274i	−0.588864	−	0.336041i
$277$	29.5996			1.77847			0.889233	−	0.457454i	$-0.151238\pi$
$277$	29.5996			1.77847			0.889233	+	0.457454i	$0.151238\pi$
$278$	−29.9523	+	13.2436i	−1.79642	+	0.794301i
$279$	−1.04401	−	2.22220i	−0.0625032	−	0.133039i
$280$	−2.19959	−	7.83152i	−0.131451	−	0.468023i
$281$	−21.1188	+	12.1929i	−1.25984	+	0.727370i	−0.973044	−	0.230621i	$-0.925924\pi$
$281$	−21.1188	+	12.1929i	−1.25984	+	0.727370i	−0.286798	+	0.957991i	$0.592591\pi$
$282$	−30.5834	−	13.3391i	−1.82121	−	0.794333i
$283$	−13.2134	+	7.62875i	−0.785454	+	0.453482i	−0.838360	−	0.545117i	$-0.816485\pi$
$283$	−13.2134	+	7.62875i	−0.785454	+	0.453482i	0.0529054	+	0.998600i	$0.483152\pi$
$284$	7.40838	+	23.2052i	0.439607	+	1.37697i
$285$	4.77057	+	1.49662i	0.282584	+	0.0886523i
$286$	−2.73886	−	6.19430i	−0.161952	−	0.366276i
$287$	20.0248	−	1.44565i	1.18203	−	0.0853342i
$288$	−16.8904	−	1.64732i	−0.995278	−	0.0970695i
$289$	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	0.772121	−	0.635476i	$-0.219196\pi$
$293$	10.4046	+	6.00710i	0.607843	+	0.350939i	−0.164278	+	0.986414i	$0.552529\pi$
$294$	−16.5382	−	4.52630i	−0.964528	−	0.263979i
$295$	−2.25250	+	1.30048i	−0.131146	+	0.0757170i
$296$	−4.94139	−	24.1604i	−0.287213	−	1.40430i
$297$	−4.78335	−	6.17847i	−0.277558	−	0.358511i
$298$	−10.0179	−	7.31779i	−0.580322	−	0.423908i
$299$	−5.17775	+	8.96812i	−0.299437	+	0.518640i
$300$	11.4883	+	6.55590i	0.663275	+	0.378505i
$301$	5.26673	−	10.8605i	0.303569	−	0.625988i
$302$	10.5360	+	7.69621i	0.606277	+	0.442867i
$303$	−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
$306$	8.62581	+	25.0262i	0.493105	+	1.43065i
$307$			26.0671i			1.48773i	0.668330	+	0.743865i	$0.267010\pi$
$307$			26.0671i			1.48773i	−0.668330	+	0.743865i	$0.732990\pi$
$308$	6.25615	+	4.91689i	0.356477	+	0.280166i
$309$	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	$-0.119760\pi$
$311$	2.58935	+	4.48489i	0.146829	+	0.254315i	−0.783225	+	0.621738i	$0.786427\pi$
$312$	−1.59260	+	15.5206i	−0.0901632	+	0.878681i
$313$	−5.78482	+	10.0196i	−0.326977	+	0.566341i	−0.981911	−	0.189345i	$-0.939363\pi$
$313$	−5.78482	+	10.0196i	−0.326977	+	0.566341i	0.654933	+	0.755687i	$0.272697\pi$
$314$	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	0.947180	−	0.320702i	$-0.103919\pi$
$317$	20.3511	+	11.7497i	1.14303	+	0.659931i	0.195854	+	0.980633i	$0.437252\pi$
$318$	−0.776392	+	1.78008i	−0.0435379	+	0.0998219i
$319$	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
$322$	0.428377	−	12.1587i	0.0238725	−	0.677580i
$323$	16.5687			0.921907
$324$	2.51607	+	17.8233i	0.139782	+	0.990182i
$325$	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
$328$	14.2384	+	16.0603i	0.786186	+	0.886781i
$329$	−2.59502	−	35.9456i	−0.143068	−	1.98174i
$330$	3.97874	−	0.448769i	0.219022	−	0.0247039i
$331$	13.1179	+	7.57360i	0.721022	+	0.416283i	0.815129	−	0.579280i	$-0.196666\pi$
$331$	13.1179	+	7.57360i	0.721022	+	0.416283i	−0.0941064	+	0.995562i	$0.529999\pi$
$332$	−6.47387	+	7.11618i	−0.355300	+	0.390551i
$333$	−23.6740	+	11.1223i	−1.29733	+	0.609497i
$334$	2.57100	+	5.81468i	0.140679	+	0.318165i
$335$	4.99771	+	8.65629i	0.273054	+	0.472944i
$336$	−6.90326	−	16.9807i	−0.376604	−	0.926375i
$337$	13.2530	−	22.9549i	0.721938	−	1.25043i	−0.238284	−	0.971196i	$-0.576585\pi$
$337$	13.2530	−	22.9549i	0.721938	−	1.25043i	0.960222	−	0.279238i	$-0.0900817\pi$
$338$	−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
$342$	11.0602	+	2.14636i	0.598067	+	0.116062i
$343$	−3.97304	−	18.0891i	−0.214524	−	0.976719i
$344$	12.6418	−	2.58556i	0.681602	−	0.139404i
$345$	−4.14245	−	4.50767i	−0.223022	−	0.242685i
$346$	−25.7257	+	11.3748i	−1.38302	+	0.611515i
$347$	10.3541	+	17.9339i	0.555839	+	0.962741i	0.997838	+	0.0657252i	$0.0209361\pi$
$347$	10.3541	+	17.9339i	0.555839	+	0.962741i	−0.441999	+	0.897015i	$0.645731\pi$
$348$	−7.13810	+	0.0359156i	−0.382643	+	0.00192528i
$349$	−2.18348	−	3.78189i	−0.116879	−	0.202440i	0.801650	−	0.597793i	$-0.203956\pi$
$349$	−2.18348	−	3.78189i	−0.116879	−	0.202440i	−0.918529	+	0.395353i	$0.870622\pi$
$350$	−0.503051	+	14.2782i	−0.0268892	+	0.763202i
$351$	16.3975	−	2.23070i	0.875233	−	0.119066i
$352$	−0.109128	+	8.50578i	−0.00581657	+	0.453360i
$353$		−	3.60635i		−	0.191946i	−0.995384	−	0.0959732i	$-0.969404\pi$
$353$		−	3.60635i		−	0.191946i	0.995384	−	0.0959732i	$-0.0305963\pi$
$354$	−4.71532	+	3.48092i	−0.250617	+	0.185009i
$355$			13.2395i			0.702678i
$356$	10.0949	+	9.18376i	0.535030	+	0.486738i
$357$	−19.6047	+	20.8124i	−1.03759	+	1.10151i
$358$	−2.11988	−	4.79439i	−0.112039	−	0.253391i
$359$	8.74493	+	15.1467i	0.461540	+	0.799410i	0.999038	−	0.0438545i	$-0.0139638\pi$
$359$	8.74493	+	15.1467i	0.461540	+	0.799410i	−0.537498	+	0.843265i	$0.680630\pi$
$360$	−8.47299	−	3.64491i	−0.446566	−	0.192104i
$361$	−5.97403	+	10.3473i	−0.314423	+	0.544596i
$362$	17.1141	−	23.4289i	0.899500	−	1.23140i
$363$	11.1447	−	10.2417i	0.584944	−	0.537551i
$364$	−15.6432	+	6.26796i	−0.819925	+	0.328531i
$365$	7.58686	+	4.38028i	0.397115	+	0.229274i
$366$	10.6106	+	4.62788i	0.554626	+	0.241903i
$367$		−	1.24210i		−	0.0648371i	−0.999474	−	0.0324185i	$-0.989679\pi$
$367$		−	1.24210i		−	0.0648371i	0.999474	−	0.0324185i	$-0.0103209\pi$
$368$	10.6002	−	7.53651i	0.552575	−	0.392868i
$369$	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
$372$	2.83501	−	0.0142645i	0.146988	−	0.000739577i
$373$	1.62882			0.0843372			0.0421686	−	0.999111i	$-0.486573\pi$
$373$	1.62882			0.0843372			0.0421686	+	0.999111i	$0.486573\pi$
$374$	12.1353	−	5.36570i	0.627499	−	0.277454i
$375$	11.2345	+	12.2250i	0.580145	+	0.631294i
$376$	28.8291	−	25.5588i	1.48675	−	1.31809i
$377$			6.56258i			0.337990i
$378$	−15.7829	+	11.3534i	−0.811787	+	0.583954i
$379$			30.3716i			1.56008i	0.625727	+	0.780042i	$0.284802\pi$
$379$			30.3716i			1.56008i	−0.625727	+	0.780042i	$0.715198\pi$
$380$	−3.88505	+	4.27051i	−0.199299	+	0.219073i
$381$	−1.09617	−	1.19281i	−0.0561584	−	0.0611097i
$382$	−9.35080	−	21.1481i	−0.478428	−	1.08203i
$383$	26.6162			1.36002			0.680012	−	0.733201i	$-0.261975\pi$
$383$	26.6162			1.36002			0.680012	+	0.733201i	$0.261975\pi$
$384$	9.92999	−	16.8936i	0.506738	−	0.862100i
$385$	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
$388$	18.0240	−	19.8122i	0.915029	−	1.00581i
$389$		−	28.6570i		−	1.45297i	−0.687184	−	0.726483i	$-0.741153\pi$
$389$		−	28.6570i		−	1.45297i	0.687184	−	0.726483i	$-0.258847\pi$
$390$	−3.39014	+	7.77278i	−0.171667	+	0.393590i
$391$	−17.5695	−	10.1437i	−0.888526	−	0.512991i
$392$	12.7748	−	15.1263i	0.645226	−	0.763992i
$393$	10.2529	−	9.42214i	0.517188	−	0.475284i
$394$	13.2911	+	9.70877i	0.669597	+	0.489121i
$395$	7.84256	−	13.5837i	0.394602	−	0.683470i
$396$	8.79581	−	2.00976i	0.442006	−	0.100994i
$397$	−13.0065	−	22.5280i	−0.652778	−	1.13065i	−0.982446	−	0.186548i	$-0.940270\pi$
$397$	−13.0065	−	22.5280i	−0.652778	−	1.13065i	0.329667	−	0.944097i	$-0.393063\pi$
$398$	−21.1278	+	9.34181i	−1.05904	+	0.468263i
$399$	3.49930	+	11.6553i	0.175184	+	0.583494i
$400$	−12.4480	+	8.85025i	−0.622401	+	0.442513i
$401$			21.7110i			1.08420i	0.840315	+	0.542099i	$0.182370\pi$
$401$			21.7110i			1.08420i	−0.840315	+	0.542099i	$0.817630\pi$
$402$	13.3771	+	18.1208i	0.667188	+	0.903786i
$403$		−	2.60643i		−	0.129836i
$404$	3.92821	−	1.25410i	0.195436	−	0.0623940i
$405$	−1.64345	+	9.64420i	−0.0816637	+	0.479224i
$406$	−3.61757	−	6.80877i	−0.179537	−	0.337913i
$407$	6.55546	+	11.3544i	0.324942	+	0.562816i
$408$	−30.4064	−	3.12007i	−1.50534	−	0.154466i
$409$	−12.7947	−	22.1611i	−0.632657	−	1.09579i	−0.987006	−	0.160681i	$-0.948631\pi$
$409$	−12.7947	−	22.1611i	−0.632657	−	1.09579i	0.354349	−	0.935113i	$-0.384702\pi$
$410$	4.71742	+	10.6691i	0.232977	+	0.526909i
$411$	19.1662	+	20.8560i	0.945400	+	1.02875i
$412$	−5.57983	+	1.78139i	−0.274899	+	0.0877629i
$413$	−5.69613	−	2.76231i	−0.280288	−	0.135924i
$414$	−10.4142	−	9.04731i	−0.511830	−	0.444651i
$415$	−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	$-0.776292\pi$
$419$	3.64856	−	6.31949i	0.178244	−	0.308727i	0.941279	+	0.337629i	$0.109625\pi$
$420$	−0.767363	−	9.93315i	−0.0374435	−	0.484688i
$421$	−6.81198	−	11.7987i	−0.331996	−	0.575034i	0.650907	−	0.759157i	$-0.274389\pi$
$421$	−6.81198	−	11.7987i	−0.331996	−	0.575034i	−0.982903	+	0.184124i	$0.941055\pi$
$422$	29.0243	−	12.8333i	1.41288	−	0.624717i
$423$	−33.5415	−	23.3427i	−1.63084	−	1.13496i
$424$	−1.48763	−	1.67797i	−0.0722455	−	0.0814896i
$425$	20.6321	+	11.9120i	1.00080	+	0.577815i
$426$	3.34379	+	29.6457i	0.162007	+	1.43634i
$427$	0.900320	+	12.4710i	0.0435695	+	0.603514i
$428$	14.7476	−	16.2108i	0.712851	−	0.783577i
$429$	−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	$-0.739333\pi$
$431$	6.04210	−	10.4652i	0.291038	−	0.504092i	0.974055	+	0.226310i	$0.0726661\pi$
$432$	−19.8932	−	6.02169i	−0.957112	−	0.289719i
$433$	22.6142			1.08677			0.543386	−	0.839483i	$-0.317142\pi$
$433$	22.6142			1.08677			0.543386	+	0.839483i	$0.317142\pi$
$434$	1.43677	+	2.70421i	0.0689674	+	0.129806i
$435$	−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
$438$	18.0947	+	7.89212i	0.864599	+	0.377100i
$439$	−21.7128	−	12.5359i	−1.03630	−	0.598307i	−0.117515	−	0.993071i	$-0.537493\pi$
$439$	−21.7128	−	12.5359i	−1.03630	−	0.598307i	−0.918782	+	0.394765i	$0.870826\pi$
$440$	−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	$-0.947206\pi$
$443$	−7.36999	+	12.7652i	−0.350159	+	0.606493i	0.636118	+	0.771592i	$0.280539\pi$
$444$	−0.151965	−	30.2025i	−0.00721195	−	1.43335i
$445$	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
$448$	21.1416	+	1.01657i	0.998846	+	0.0480282i
$449$			36.4636i			1.72082i	0.509601	+	0.860411i	$0.329793\pi$
$449$			36.4636i			1.72082i	−0.509601	+	0.860411i	$0.670207\pi$
$450$	12.2296	+	10.6244i	0.576507	+	0.500839i
$451$	−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
$454$	11.1679	−	15.2886i	0.524135	−	0.717531i
$455$	−9.13560	+	0.659527i	−0.428283	+	0.0309191i
$456$	−7.62080	+	10.5437i	−0.356877	+	0.493754i
$457$	−8.23699	+	14.2669i	−0.385310	+	0.667377i	−0.991812	−	0.127705i	$-0.959239\pi$
$457$	−8.23699	+	14.2669i	−0.385310	+	0.667377i	0.606502	+	0.795082i	$0.292572\pi$
$458$	10.9039	−	14.9272i	0.509505	−	0.697503i
$459$	4.37017	+	32.1243i	0.203982	+	1.49944i
$460$	6.73422	−	2.14994i	0.313985	−	0.100241i
$461$	−8.43340	+	4.86902i	−0.392782	+	0.226773i	−0.683365	−	0.730077i	$-0.739484\pi$
$461$	−8.43340	+	4.86902i	−0.392782	+	0.226773i	0.290583	+	0.956850i	$0.406151\pi$
$462$	6.33747	+	7.40333i	0.294846	+	0.344434i
$463$	−3.07391	−	1.77472i	−0.142857	−	0.0824784i	0.426868	−	0.904314i	$-0.359617\pi$
$463$	−3.07391	−	1.77472i	−0.142857	−	0.0824784i	−0.569725	+	0.821836i	$0.692950\pi$
$464$	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	$-0.233401\pi$
$467$	−4.49751	−	7.78991i	−0.208120	−	0.360474i	−0.951122	+	0.308815i	$0.900068\pi$
$468$	−5.62807	+	18.2610i	−0.260157	+	0.844113i
$469$	−10.6155	+	21.8901i	−0.490177	+	1.01079i
$470$	19.1516	−	8.46802i	0.883396	−	0.390601i
$471$	7.51169	+	2.35657i	0.346120	+	0.108585i
$472$	−1.35608	−	6.63042i	−0.0624187	−	0.305190i
$473$	−5.94113	+	3.43011i	−0.273174	+	0.157717i
$474$	14.1302	−	32.3972i	0.649024	−	1.48805i
$475$	8.78139	−	5.06994i	0.402918	−	0.232625i
$476$	−12.2796	−	30.6466i	−0.562834	−	1.40468i
$477$	−1.35864	+	1.95225i	−0.0622079	+	0.0893876i
$478$	4.90326	+	11.0894i	0.224270	+	0.507217i
$479$	−16.9780			−0.775743			−0.387871	−	0.921714i	$-0.626790\pi$
$479$	−16.9780			−0.775743			−0.387871	+	0.921714i	$0.626790\pi$
$480$	7.93393	−	7.10553i	0.362133	−	0.324322i
$481$	−27.7674			−1.26608
$482$	−2.31533	+	3.16964i	−0.105460	+	0.144373i
$483$	3.42496	−	14.5016i	0.155841	−	0.659847i
$484$	5.31547	+	16.6496i	0.241612	+	0.756799i
$485$	12.6072	−	7.27875i	0.572462	−	0.330511i
$486$	−1.24424	+	22.0103i	−0.0564397	+	0.998406i
$487$	0.873051	+	0.504056i	0.0395617	+	0.0228410i	0.519650	−	0.854379i	$-0.326062\pi$
$487$	0.873051	+	0.504056i	0.0395617	+	0.0228410i	−0.480089	+	0.877220i	$0.659396\pi$
$488$	−10.0020	+	8.86738i	−0.452769	+	0.401407i
$489$	0.449700	−	1.43344i	0.0203361	−	0.0648226i
$490$	9.11474	−	5.72019i	0.411762	−	0.258412i
$491$	−0.979328	+	1.69625i	−0.0441965	+	0.0765505i	−0.887277	−	0.461236i	$-0.847406\pi$
$491$	−0.979328	+	1.69625i	−0.0441965	+	0.0765505i	0.843081	+	0.537787i	$0.180739\pi$
$492$	13.2578	+	22.6987i	0.597708	+	1.02334i
$493$	−12.8568			−0.579040
$494$	9.65811	+	7.05496i	0.434539	+	0.317418i
$495$	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
$498$	−9.47932	+	6.99777i	−0.424778	+	0.313578i
$499$		−	27.4334i		−	1.22809i	−0.789272	−	0.614043i	$-0.789542\pi$
$499$		−	27.4334i		−	1.22809i	0.789272	−	0.614043i	$-0.210458\pi$
$500$	−18.2634	+	5.83070i	−0.816765	+	0.260757i
$501$	1.69624	+	7.59958i	0.0757825	+	0.339524i
$502$	−4.45949	+	6.10496i	−0.199037	+	0.272478i
$503$	−25.0298			−1.11602			−0.558011	−	0.829834i	$-0.688435\pi$
$503$	−25.0298			−1.11602			−0.558011	+	0.829834i	$0.688435\pi$
$504$	−4.22701	−	22.0484i	−0.188286	−	0.982114i
$505$	2.24120			0.0997321
$506$	−4.07880	+	5.58380i	−0.181325	+	0.248230i
$507$	−4.72204	−	1.48140i	−0.209713	−	0.0657912i
$508$	1.78200	−	0.568913i	0.0790634	−	0.0252415i
$509$			25.8454i			1.14558i	0.819703	+	0.572789i	$0.194139\pi$
$509$			25.8454i			1.14558i	−0.819703	+	0.572789i	$0.805861\pi$
$510$	−15.2277	−	6.64164i	−0.674293	−	0.294097i
$511$	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
$514$	2.51227	+	1.83514i	0.110812	+	0.0809446i
$515$	−3.18351			−0.140282
$516$	15.8033	−	0.0795150i	0.695703	−	0.00350045i
$517$	−10.2417	+	17.7391i	−0.450428	+	0.780164i
$518$	28.8090	−	15.3066i	1.26580	−	0.672531i
$519$	−33.6226	+	7.50464i	−1.47587	+	0.329417i
$520$	−6.49577	−	7.32693i	−0.284859	−	0.321307i
$521$	−22.8154	−	13.1725i	−0.999562	−	0.577097i	−0.0914433	−	0.995810i	$-0.529148\pi$
$521$	−22.8154	−	13.1725i	−0.999562	−	0.577097i	−0.908119	+	0.418713i	$0.862481\pi$
$522$	−8.58235	−	1.66550i	−0.375639	−	0.0728972i
$523$	15.0902	−	8.71233i	0.659848	−	0.380964i	−0.132371	−	0.991200i	$-0.542259\pi$
$523$	15.0902	−	8.71233i	0.659848	−	0.380964i	0.792219	+	0.610237i	$0.208926\pi$
$524$	4.89011	+	15.3172i	0.213625	+	0.669136i
$525$	−4.02199	+	17.0295i	−0.175534	+	0.743228i
$526$	−5.21635	+	7.14109i	−0.227444	+	0.311366i
$527$	5.10627			0.222433
$528$	−2.16710	+	10.1904i	−0.0943110	+	0.443480i
$529$	−12.4273			−0.540316
$530$	−0.492874	−	1.11470i	−0.0214091	−	0.0484196i
$531$	−6.49692	+	3.05232i	−0.281942	+	0.132459i
$532$	−13.9094	−	1.99566i	−0.603049	−	0.0865228i
$533$	20.9294	−	12.0836i	0.906551	−	0.523398i
$534$	9.92697	+	13.4473i	0.429582	+	0.581920i
$535$	10.3154	−	5.95562i	0.445975	−	0.257484i
$536$	−25.4805	+	5.21138i	−1.10059	+	0.225097i
$537$	−1.39861	−	6.26609i	−0.0603543	−	0.270402i
$538$	−11.5258	+	5.09622i	−0.496913	+	0.219714i
$539$	−3.89914	+	9.77744i	−0.167948	+	0.421144i
$540$	−9.30464	−	6.40617i	−0.400408	−	0.275678i
$541$	−9.52540	−	16.4985i	−0.409529	−	0.709325i	0.585308	−	0.810811i	$-0.300974\pi$
$541$	−9.52540	−	16.4985i	−0.409529	−	0.709325i	−0.994837	+	0.101486i	$0.967640\pi$
$542$	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
$546$	−20.2898	+	3.78411i	−0.868322	+	0.161945i
$547$	4.36785	−	2.52178i	0.186756	−	0.107824i	−0.403707	−	0.914888i	$-0.632279\pi$
$547$	4.36785	−	2.52178i	0.186756	−	0.107824i	0.590463	+	0.807065i	$0.298945\pi$
$548$	−31.1578	+	9.94731i	−1.33100	+	0.424928i
$549$	11.6369	+	8.09853i	0.496651	+	0.345637i
$550$	4.78980	−	6.55714i	0.204238	−	0.279598i
$551$	−2.73604	+	4.73895i	−0.116559	+	0.201886i
$552$	14.5362	−	6.51493i	0.618702	−	0.277294i
$553$	38.0775	−	2.74893i	1.61922	−	0.116897i
$554$	−24.6916	+	33.8023i	−1.04904	+	1.43612i
$555$	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	0.763456	−	0.645860i	$-0.223501\pi$
$557$	13.8266	+	7.98281i	0.585853	+	0.338242i	−0.177603	+	0.984102i	$0.556834\pi$
$558$	3.40862	+	0.661481i	0.144298	+	0.0280027i
$559$		−	14.5292i		−	0.614518i
$560$	10.7784	+	4.02104i	0.455469	+	0.169920i
$561$	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	$-0.0522643\pi$
$563$	8.34543	+	14.4547i	0.351718	+	0.609193i	−0.634833	+	0.772650i	$0.718931\pi$
$564$	40.7453	−	23.7985i	1.71569	−	1.00210i
$565$	−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	−0.265348	−	0.964153i	$-0.585487\pi$
$569$	−29.4117	−	16.9809i	−1.23300	−	0.711874i	−0.967655	+	0.252278i	$0.918820\pi$
$570$	−5.68867	+	4.19946i	−0.238272	+	0.175896i
$571$	27.0967	−	15.6443i	1.13396	−	0.654692i	0.189032	−	0.981971i	$-0.439465\pi$
$571$	27.0967	−	15.6443i	1.13396	−	0.654692i	0.944928	+	0.327279i	$0.106132\pi$
$572$	9.35852	+	2.03946i	0.391299	+	0.0852743i
$573$	−6.16927	−	27.6398i	−0.257725	−	1.15467i
$574$	−15.0535	+	24.0740i	−0.628321	+	1.00483i
$575$	−12.4157			−0.517772
$576$	15.9710	−	17.9145i	0.665458	−	0.746435i
$577$	10.1541	−	17.5874i	0.422720	−	0.732172i	−0.573485	−	0.819216i	$-0.694409\pi$
$577$	10.1541	−	17.5874i	0.422720	−	0.732172i	0.996204	+	0.0870440i	$0.0277421\pi$
$578$	−30.8334	−	3.32073i	−1.28250	−	0.138124i
$579$	−19.0186	−	5.96652i	−0.790386	−	0.247960i
$580$	3.01468	−	3.31378i	0.125178	−	0.137597i
$581$	−11.4511	−	5.55313i	−0.475070	−	0.230383i
$582$	26.3915	−	19.4826i	1.09396	−	0.807580i
$583$	1.03249	+	0.596108i	0.0427613	+	0.0246883i
$584$	−17.0568	+	15.1219i	−0.705815	+	0.625748i
$585$	−5.93256	+	8.52459i	−0.245281	+	0.352448i
$586$	−15.5394	+	6.87087i	−0.641927	+	0.283833i
$587$	−4.77427	−	8.26929i	−0.197055	−	0.341310i	0.750517	−	0.660851i	$-0.229805\pi$
$587$	−4.77427	−	8.26929i	−0.197055	−	0.341310i	−0.947572	+	0.319541i	$0.896471\pi$
$588$	18.9649	−	15.1106i	0.782101	−	0.623152i
$589$	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	−0.678616	−	0.734493i	$-0.737420\pi$
$593$	−9.29829	+	5.36837i	−0.381835	+	0.220453i	0.296781	+	0.954945i	$0.404087\pi$
$594$	11.0459	−	0.308524i	0.453220	−	0.0126589i
$595$	−1.29208	−	17.8976i	−0.0529702	−	0.733729i
$596$	16.7136	−	5.33592i	0.684617	−	0.218568i
$597$	−27.6133	+	6.16334i	−1.13014	+	0.252249i
$598$	−5.92226	−	13.3940i	−0.242179	−	0.547722i
$599$	−14.8707	−	25.7568i	−0.607600	−	1.05239i	−0.991635	−	0.129076i	$-0.958799\pi$
$599$	−14.8707	−	25.7568i	−0.607600	−	1.05239i	0.384035	−	0.923319i	$-0.374534\pi$
$600$	−17.0701	+	7.65059i	−0.696884	+	0.312334i
$601$	18.4639	+	31.9804i	0.753159	+	1.30451i	0.946284	+	0.323336i	$0.104804\pi$
$601$	18.4639	+	31.9804i	0.753159	+	1.30451i	−0.193125	+	0.981174i	$0.561862\pi$
$602$	8.00908	+	15.0742i	0.326426	+	0.614378i
$603$	11.7300	+	24.9675i	0.477681	+	1.01675i
$604$	−17.5779	+	5.61185i	−0.715236	+	0.228343i
$605$			9.49923i			0.386199i
$606$	5.01847	−	0.566042i	0.203862	−	0.0229939i
$607$			28.5591i			1.15918i	0.814909	+	0.579589i	$0.196787\pi$
$607$			28.5591i			1.15918i	−0.814909	+	0.579589i	$0.803213\pi$
$608$	−7.34351	−	13.1048i	−0.297819	−	0.531468i
$609$	−2.71535	−	9.04412i	−0.110031	−	0.366486i
$610$	−6.64447	+	2.93790i	−0.269027	+	0.118952i
$611$	−21.6907	−	37.5693i	−0.877510	−	1.51989i
$612$	−35.7751	−	11.0260i	−1.44612	−	0.445698i
$613$	0.0951404	−	0.164788i	0.00384268	−	0.00665572i	−0.864098	−	0.503324i	$-0.832110\pi$
$613$	0.0951404	−	0.164788i	0.00384268	−	0.00665572i	0.867940	+	0.496668i	$0.165443\pi$
$614$	−29.7683	−	21.7449i	−1.20135	−	0.877551i
$615$	3.11236	+	13.9441i	0.125502	+	0.562281i
$616$	−10.8338	+	3.04283i	−0.436507	+	0.122599i
$617$	−18.7268	−	10.8120i	−0.753915	−	0.435273i	0.0731920	−	0.997318i	$-0.476681\pi$
$617$	−18.7268	−	10.8120i	−0.753915	−	0.435273i	−0.827107	+	0.562045i	$0.810015\pi$
$618$	−7.12849	+	0.804035i	−0.286750	+	0.0323430i
$619$		−	6.60974i		−	0.265668i	−0.991138	−	0.132834i	$-0.957592\pi$
$619$		−	6.60974i		−	0.265668i	0.991138	−	0.132834i	$-0.0424077\pi$
$620$	−1.19733	+	1.31612i	−0.0480857	+	0.0528566i
$621$	−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
$624$	−16.3958	−	14.7658i	−0.656356	−	0.591105i
$625$	8.67188			0.346875
$626$	−6.61663	−	14.9644i	−0.264454	−	0.598098i
$627$	2.07037	−	6.59942i	0.0826826	−	0.263555i
$628$	−6.11737	+	6.72431i	−0.244110	+	0.268329i
$629$		−	54.3992i		−	2.16904i
$630$	1.45599	−	12.1146i	0.0580082	−	0.482659i
$631$			10.8732i			0.432854i	0.976299	+	0.216427i	$0.0694403\pi$
$631$			10.8732i			0.432854i	−0.976299	+	0.216427i	$0.930560\pi$
$632$	27.0746	+	30.5389i	1.07697	+	1.21477i
$633$	37.9338	−	8.46690i	1.50773	−	0.336529i
$634$	−30.3947	+	13.4392i	−1.20713	+	0.533741i
$635$	1.01670			0.0403465
$636$	−1.38517	−	2.37155i	−0.0549256	−	0.0940380i
$637$	−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
$640$	3.58970	+	11.7627i	0.141895	+	0.464963i
$641$		−	26.1971i		−	1.03472i	−0.855767	−	0.517362i	$-0.826914\pi$
$641$		−	26.1971i		−	1.03472i	0.855767	−	0.517362i	$-0.173086\pi$
$642$	21.5941	−	15.9411i	0.852249	−	0.629143i
$643$	−19.2089	−	11.0902i	−0.757524	−	0.437356i	0.0708823	−	0.997485i	$-0.477419\pi$
$643$	−19.2089	−	11.0902i	−0.757524	−	0.437356i	−0.828406	+	0.560128i	$0.810752\pi$
$644$	13.5278	+	10.6319i	0.533068	+	0.418954i
$645$	8.19557	+	2.57112i	0.322700	+	0.101238i
$646$	−13.8214	+	18.9212i	−0.543795	+	0.744446i
$647$	−2.18326	+	3.78151i	−0.0858327	+	0.148667i	−0.905746	−	0.423822i	$-0.860688\pi$
$647$	−2.18326	+	3.78151i	−0.0858327	+	0.148667i	0.819913	+	0.572488i	$0.194022\pi$
$648$	−22.4528	−	11.9946i	−0.882030	−	0.471194i
$649$	1.79904	+	3.11602i	0.0706183	+	0.122315i
$650$	6.95461	+	15.7288i	0.272782	+	0.616934i
$651$	1.07844	+	3.59201i	0.0422675	+	0.140782i
$652$	1.28319	+	1.16737i	0.0502536	+	0.0457176i
$653$		−	35.0173i		−	1.37033i	−0.728387	−	0.685166i	$-0.759730\pi$
$653$		−	35.0173i		−	1.37033i	0.728387	−	0.685166i	$-0.240270\pi$
$654$	32.6822	+	14.2545i	1.27798	+	0.557397i
$655$			8.73907i			0.341464i
$656$	−30.2181	+	2.86282i	−1.17982	+	0.111774i
$657$	19.8449	+	13.8107i	0.774223	+	0.538809i
$658$	43.2141	+	27.0219i	1.68466	+	1.05342i
$659$	−13.6116	−	23.5760i	−0.530233	−	0.918390i	−0.999378	−	0.0352689i	$-0.988771\pi$
$659$	−13.6116	−	23.5760i	−0.530233	−	0.918390i	0.469145	−	0.883121i	$-0.344562\pi$
$660$	−2.80652	+	4.91802i	−0.109244	+	0.191434i
$661$	7.61931	+	13.1970i	0.296357	+	0.513305i	0.975300	−	0.220886i	$-0.0708949\pi$
$661$	7.61931	+	13.1970i	0.296357	+	0.513305i	−0.678943	+	0.734191i	$0.737562\pi$
$662$	−19.5917	+	8.66261i	−0.761452	+	0.336682i
$663$	−10.3022	+	32.8388i	−0.400105	+	1.27536i
$664$	−2.72616	−	13.3293i	−0.105796	−	0.517277i
$665$	−6.87194	−	3.33251i	−0.266482	−	0.129229i
$666$	7.04703	−	36.3134i	0.273067	−	1.40712i
$667$	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
$672$	25.1504	+	6.28167i	0.970196	+	0.242321i
$673$	−6.84127	−	11.8494i	−0.263712	−	0.456762i	0.703514	−	0.710682i	$-0.251613\pi$
$673$	−6.84127	−	11.8494i	−0.263712	−	0.456762i	−0.967225	+	0.253920i	$0.918280\pi$
$674$	15.1587	+	34.2834i	0.583891	+	1.32055i
$675$	12.1461	+	15.6886i	0.467503	+	0.603855i
$676$	3.84553	−	4.22707i	0.147905	−	0.162580i
$677$	34.2732	+	19.7876i	1.31723	+	0.760500i	0.983281	−	0.182092i	$-0.0582870\pi$
$677$	34.2732	+	19.7876i	1.31723	+	0.760500i	0.333944	+	0.942593i	$0.391620\pi$
$678$	−14.8028	+	33.9393i	−0.568500	+	1.30343i
$679$	31.8811	+	15.4605i	1.22348	+	0.593321i
$680$	14.3542	−	12.7259i	0.550459	−	0.488016i
$681$	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	$-0.690490\pi$
$683$	11.3382	−	19.6384i	0.433846	−	0.751443i	0.997201	+	0.0747721i	$0.0238229\pi$
$684$	−11.6774	+	10.8401i	−0.446496	+	0.414483i
$685$	−17.7768			−0.679215
$686$	23.9717	+	10.5525i	0.915245	+	0.402897i
$687$	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
$690$	8.60327	−	0.970379i	0.327521	−	0.0369417i
$691$	18.2462	+	10.5344i	0.694117	+	0.400749i	0.805152	−	0.593068i	$-0.202083\pi$
$691$	18.2462	+	10.5344i	0.694117	+	0.400749i	−0.111036	+	0.993816i	$0.535417\pi$
$692$	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
$696$	5.91350	−	8.18158i	0.224151	−	0.310122i
$697$	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
$700$	−15.8859	−	12.4852i	−0.600429	−	0.471895i
$701$			20.6957i			0.781667i	0.920461	+	0.390833i	$0.127813\pi$
$701$			20.6957i			0.781667i	−0.920461	+	0.390833i	$0.872187\pi$
$702$	−11.1311	+	20.5865i	−0.420117	+	0.776988i
$703$	−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
$706$	4.11840	+	3.00837i	0.154998	+	0.113221i
$707$	3.06055	+	4.51546i	0.115104	+	0.169821i
$708$	−0.0417043	−	8.28857i	−0.00156734	−	0.311504i
$709$	10.6004	−	18.3605i	0.398108	−	0.689543i	−0.595385	−	0.803441i	$-0.703000\pi$
$709$	10.6004	−	18.3605i	0.398108	−	0.689543i	0.993492	+	0.113898i	$0.0363336\pi$
$710$	−15.1193	−	11.0442i	−0.567417	−	0.414481i
$711$	24.7271	−	35.5308i	0.927339	−	1.33251i
$712$	−18.9088	+	3.86730i	−0.708636	+	0.144933i
$713$	−2.30459	+	1.33056i	−0.0863076	+	0.0498297i
$714$	−7.41347	−	39.7497i	−0.277442	−	1.48760i
$715$	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	$-0.0648680\pi$
$719$	8.43001	+	14.6012i	0.314386	+	0.544533i	−0.664921	+	0.746914i	$0.731535\pi$
$720$	11.2305	−	6.63550i	0.418536	−	0.247290i
$721$	−4.34736	−	6.41399i	−0.161904	−	0.238869i
$722$	−6.83305	−	15.4539i	−0.254300	−	0.575133i
$723$	−3.53972	+	3.25292i	−0.131643	+	0.120977i
$724$	12.4791	+	39.0882i	0.463784	+	1.45270i
$725$	−6.81408	+	3.93411i	−0.253069	+	0.146109i
$726$	2.39915	+	21.2706i	0.0890407	+	0.789425i
$727$	6.79800	−	3.92483i	0.252124	−	0.145564i	−0.368613	−	0.929583i	$-0.620167\pi$
$727$	6.79800	−	3.92483i	0.252124	−	0.145564i	0.620736	+	0.784019i	$0.286834\pi$
$728$	5.89140	−	23.0929i	0.218350	−	0.855881i
$729$	−6.76307	+	26.1393i	−0.250484	+	0.968121i
$730$	−11.3311	+	5.01012i	−0.419382	+	0.185433i
$731$	28.4641			1.05278
$732$	−14.1362	+	8.25666i	−0.522490	+	0.305175i
$733$	−2.77974			−0.102672			−0.0513360	−	0.998681i	$-0.516348\pi$
$733$	−2.77974			−0.102672			−0.0513360	+	0.998681i	$0.516348\pi$
$734$	1.41846	+	1.03614i	0.0523563	+	0.0382447i
$735$	12.3172	−	4.68888i	0.454326	−	0.172952i
$736$	−0.235970	+	18.3922i	−0.00869797	+	0.677944i
$737$	11.9748	−	6.91364i	0.441097	−	0.254667i
$738$	10.4909	+	30.4375i	0.386176	+	1.12042i
$739$	31.6800	+	18.2905i	1.16537	+	0.672826i	0.952585	−	0.304273i	$-0.0984135\pi$
$739$	31.6800	+	18.2905i	1.16537	+	0.672826i	0.212784	+	0.977099i	$0.431747\pi$
$740$	14.0212	+	12.7556i	0.515428	+	0.468905i
$741$	9.91186	+	10.7857i	0.364121	+	0.396224i
$742$	1.57279	−	2.51524i	0.0577388	−	0.0923374i
$743$	−11.7085	+	20.2798i	−0.429545	+	0.743993i	−0.996833	−	0.0795261i	$-0.974659\pi$
$743$	−11.7085	+	20.2798i	−0.429545	+	0.743993i	0.567288	+	0.823519i	$0.307993\pi$
$744$	−2.34864	+	3.24944i	−0.0861052	+	0.119130i
$745$	9.53577			0.349364
$746$	−1.35874	+	1.86009i	−0.0497471	+	0.0681028i
$747$	−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
$750$	−23.3324	+	2.63170i	−0.851977	+	0.0960960i
$751$			19.1395i			0.698409i	0.937047	+	0.349205i	$0.113548\pi$
$751$			19.1395i			0.698409i	−0.937047	+	0.349205i	$0.886452\pi$
$752$	5.13891	+	54.2432i	0.187397	+	1.97805i
$753$	−6.81775	+	6.26536i	−0.248453	+	0.228322i
$754$	−7.49438	−	5.47442i	−0.272929	−	0.199367i
$755$	−10.0289			−0.364989
$756$	0.200545	−	27.4947i	0.00729375	−	0.999973i
$757$	−18.7437			−0.681252			−0.340626	−	0.940199i	$-0.610639\pi$
$757$	−18.7437			−0.681252			−0.340626	+	0.940199i	$0.610639\pi$
$758$	−34.6839	−	25.3356i	−1.25978	−	0.920230i
$759$	−6.23574	+	5.73050i	−0.226343	+	0.208004i
$760$	−1.63601	−	7.99908i	−0.0593442	−	0.290157i
$761$		−	20.8438i		−	0.755588i	−0.925890	−	0.377794i	$-0.876683\pi$
$761$		−	20.8438i		−	0.755588i	0.925890	−	0.377794i	$-0.123317\pi$
$762$	2.27659	−	0.256780i	0.0824720	−	0.00930216i
$763$	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
$766$	−22.2029	+	30.3953i	−0.802222	+	1.09823i
$767$	−7.62030			−0.275153
$768$	11.0088	+	25.4324i	0.397247	+	0.917712i
$769$	−7.95585	+	13.7799i	−0.286895	+	0.496917i	−0.973067	−	0.230522i	$-0.925957\pi$
$769$	−7.95585	+	13.7799i	−0.286895	+	0.496917i	0.686172	+	0.727440i	$0.259290\pi$
$770$	−6.11237	−	0.215351i	−0.220274	−	0.00776072i
$771$	2.57828	+	2.80560i	0.0928545	+	0.101041i
$772$	15.4884	−	17.0251i	0.557439	−	0.612745i
$773$	−11.4250	−	6.59625i	−0.410930	−	0.237251i	0.280259	−	0.959924i	$-0.409580\pi$
$773$	−11.4250	−	6.59625i	−0.410930	−	0.237251i	−0.691189	+	0.722674i	$0.742913\pi$
$774$	19.0008	+	3.68733i	0.682970	+	0.132538i
$775$	2.70632	−	1.56249i	0.0972138	−	0.0561264i
$776$	7.58994	+	37.1102i	0.272463	+	1.33218i
$777$	38.2672	−	11.4891i	1.37283	−	0.412169i
$778$	32.7259	+	23.9053i	1.17328	+	0.857045i
$779$	20.1513			0.721994
$780$	−6.04840	−	10.3555i	−0.216567	−	0.370785i
$781$	18.3150			0.655361
$782$	26.2402	−	11.6023i	0.938349	−	0.414898i
$783$	−9.90981	−	4.05483i	−0.354148	−	0.144908i
$784$	6.61739	+	27.2068i	0.236335	+	0.971672i
$785$	−4.27889	+	2.47042i	−0.152720	+	0.0881731i
$786$	2.20716	+	19.5684i	0.0787268	+	0.697983i
$787$	19.5029	−	11.2600i	0.695202	−	0.401375i	−0.110356	−	0.993892i	$-0.535199\pi$
$787$	19.5029	−	11.2600i	0.695202	−	0.401375i	0.805558	+	0.592517i	$0.201866\pi$
$788$	−22.1746	+	7.07936i	−0.789936	+	0.252192i
$789$	−7.97485	+	7.32870i	−0.283912	+	0.260909i
$790$	8.97025	+	20.2874i	0.319147	+	0.721795i
$791$	−39.8900	+	2.87978i	−1.41832	+	0.102393i
$792$	−5.04223	+	11.7212i	−0.179168	+	0.416495i
$793$	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	0.873427	−	0.486956i	$-0.161893\pi$
$797$	25.0813	+	14.4807i	0.888424	+	0.512932i	0.0149975	+	0.999888i	$0.495226\pi$
$798$	−16.2292	−	5.72652i	−0.574509	−	0.202717i
$799$	73.6021	−	42.4942i	2.60386	−	1.50334i
$800$	0.277103	−	21.5982i	0.00979708	−	0.763612i
$801$	8.70467	+	18.5281i	0.307564	+	0.654657i
$802$	−24.7937	−	18.1111i	−0.875496	−	0.639524i
$803$	6.05951	−	10.4954i	0.213835	−	0.370374i
$804$	−31.8527	+	0.160268i	−1.12336	+	0.00565222i
$805$	5.24677	+	7.74095i	0.184924	+	0.272833i
$806$	2.97651	+	2.17425i	0.104843	+	0.0765847i
$807$	−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	0.388310	−	0.921529i	$-0.373059\pi$
$809$	−6.13234	−	3.54051i	−0.215601	−	0.124478i	−0.603912	+	0.797051i	$0.706392\pi$
$810$	−9.64260	−	9.92186i	−0.338806	−	0.348619i
$811$		−	50.7206i		−	1.78104i	−0.454943	−	0.890521i	$-0.650340\pi$
$811$		−	50.7206i		−	1.78104i	0.454943	−	0.890521i	$-0.349660\pi$
$812$	10.7932	+	1.54857i	0.378769	+	0.0543441i
$813$	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
$816$	28.9277	−	32.1210i	1.01267	−	1.12446i
$817$	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	0.287389	−	0.957814i	$-0.407213\pi$
$821$	−11.4156	−	6.59081i	−0.398408	−	0.230021i	−0.685797	+	0.727793i	$0.740546\pi$
$822$	−39.8055	+	4.48974i	−1.38838	+	0.156598i
$823$	−34.3720	+	19.8447i	−1.19813	+	0.691743i	−0.960139	−	0.279524i	$-0.909823\pi$
$823$	−34.3720	+	19.8447i	−1.19813	+	0.691743i	−0.237994	+	0.971267i	$0.576490\pi$
$824$	2.62030	−	7.85811i	0.0912824	−	0.273750i
$825$	7.32273	−	6.72942i	0.254945	−	0.234288i
$826$	7.90616	−	4.20062i	0.275090	−	0.146158i
$827$	23.2354			0.807973			0.403987	−	0.914765i	$-0.367624\pi$
$827$	23.2354			0.807973			0.403987	+	0.914765i	$0.367624\pi$
$828$	19.0193	−	4.34572i	0.660966	−	0.151024i
$829$	3.93228	−	6.81091i	0.136574	−	0.236553i	−0.789624	−	0.613591i	$-0.789724\pi$
$829$	3.93228	−	6.81091i	0.136574	−	0.236553i	0.926198	+	0.377039i	$0.123058\pi$
$830$	0.791813	−	7.35209i	0.0274842	−	0.255195i
$831$	−37.7489	+	34.6904i	−1.30950	+	1.20340i
$832$	23.4322	−	10.0033i	0.812365	−	0.346803i
$833$	34.2947	−	27.0439i	1.18824	−	0.937016i
$834$	22.6774	−	51.9937i	0.785252	−	1.80039i
$835$	−4.23210	−	2.44341i	−0.146458	−	0.0845575i
$836$	5.90766	+	5.37443i	0.204321	+	0.185879i
$837$	3.93584	+	1.61044i	0.136042	+	0.0556650i
$838$	4.17319	+	9.43824i	0.144161	+	0.326039i
$839$	−25.5164	−	44.1957i	−0.880925	−	1.52581i	−0.850314	−	0.526275i	$-0.823588\pi$
$839$	−25.5164	−	44.1957i	−0.880925	−	1.52581i	−0.0306106	−	0.999531i	$-0.509745\pi$
$840$	11.9836	+	7.40979i	0.413475	+	0.255662i
$841$	−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
$846$	54.6369	−	18.8318i	1.87845	−	0.647449i
$847$	−19.1386	+	12.9720i	−0.657610	+	0.445724i
$848$	3.15718	−	0.299106i	0.108418	−	0.0102713i
$849$	7.91047	−	25.2151i	0.271487	−	0.865379i
$850$	−30.8143	+	13.6248i	−1.05692	+	0.467327i
$851$	14.1750	+	24.5518i	0.485911	+	0.841623i
$852$	−36.6443	−	20.9115i	−1.25541	−	0.716415i
$853$	−25.0238	−	43.3425i	−0.856799	−	1.48402i	−0.874966	−	0.484185i	$-0.839116\pi$
$853$	−25.0238	−	43.3425i	−0.856799	−	1.48402i	0.0181661	−	0.999835i	$-0.494217\pi$
$854$	−14.9927	−	9.37499i	−0.513041	−	0.320805i
$855$	−7.83802	+	3.68238i	−0.268055	+	0.125935i
$856$	6.21024	+	30.3643i	0.212262	+	1.03783i
$857$			40.0654i			1.36861i	0.729196	+	0.684305i	$0.239894\pi$
$857$			40.0654i			1.36861i	−0.729196	+	0.684305i	$0.760106\pi$
$858$	10.7526	+	4.68979i	0.367087	+	0.160107i
$859$			40.9224i			1.39626i	0.715973	+	0.698128i	$0.245983\pi$
$859$			40.9224i			1.39626i	−0.715973	+	0.698128i	$0.754017\pi$
$860$	−6.67431	+	7.33651i	−0.227592	+	0.250173i
$861$	−23.8437	+	25.3125i	−0.812592	+	0.862649i
$862$	6.91090	+	15.6299i	0.235386	+	0.532358i
$863$	−15.2070	−	26.3392i	−0.517651	−	0.896598i	−0.999790	−	0.0205031i	$-0.993473\pi$
$863$	−15.2070	−	26.3392i	−0.517651	−	0.896598i	0.482139	−	0.876095i	$-0.339860\pi$
$864$	23.4713	−	17.6945i	0.798511	−	0.601980i
$865$	10.8103	−	18.7240i	0.367561	−	0.636635i
$866$	−18.8645	+	25.8252i	−0.641042	+	0.877574i
$867$	−36.2399	−	11.3692i	−1.23077	−	0.386118i
$868$	−4.28671	−	0.615038i	−0.145500	−	0.0208757i
$869$	−18.7912	−	10.8491i	−0.637447	−	0.368030i
$870$	4.41422	−	3.25864i	0.149656	−	0.110478i
$871$			29.2846i			0.992270i
$872$	−30.8075	+	27.3128i	−1.04328	+	0.924928i
$873$	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
$876$	−24.1071	+	14.0804i	−0.814502	+	0.475733i
$877$	−27.2131			−0.918920			−0.459460	−	0.888198i	$-0.651957\pi$
$877$	−27.2131			−0.918920			−0.459460	+	0.888198i	$0.651957\pi$
$878$	32.4284	−	14.3385i	1.09441	−	0.483900i
$879$	−20.3095	+	4.53312i	−0.685021	+	0.152898i
$880$	−3.78871	−	5.32888i	−0.127717	−	0.179637i
$881$			18.9137i			0.637219i	0.947886	+	0.318610i	$0.103216\pi$
$881$			18.9137i			0.637219i	−0.947886	+	0.318610i	$0.896784\pi$
$882$	26.3963	−	13.6101i	0.888809	−	0.458277i
$883$		−	4.60566i		−	0.154993i	−0.996993	−	0.0774964i	$-0.975307\pi$
$883$		−	4.60566i		−	0.154993i	0.996993	−	0.0774964i	$-0.0246926\pi$
$884$	−29.3967	−	26.7433i	−0.988717	−	0.899474i
$885$	1.34851	−	4.29844i	0.0453295	−	0.144490i
$886$	−8.42973	−	19.0650i	−0.283202	−	0.640501i
$887$	−16.8474			−0.565680			−0.282840	−	0.959167i	$-0.591277\pi$
$887$	−16.8474			−0.565680			−0.282840	+	0.959167i	$0.591277\pi$
$888$	34.6176	+	25.0210i	1.16169	+	0.839650i
$889$	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
$892$	26.2613	+	23.8909i	0.879292	+	0.799927i
$893$		−	36.1726i		−	1.21047i
$894$	21.3524	−	2.40838i	0.714131	−	0.0805482i
$895$	3.48950	+	2.01467i	0.116641	+	0.0673429i
$896$	−18.7969	+	23.2954i	−0.627962	+	0.778244i
$897$	−3.90726	−	17.5055i	−0.130460	−	0.584491i
$898$	−41.6409	−	30.4174i	−1.38957	−	1.01504i
$899$	−0.843213	+	1.46049i	−0.0281227	+	0.0487100i
$900$	−22.3347	+	5.10325i	−0.744488	+	0.170108i
$901$	−2.47334	−	4.28395i	−0.0823990	−	0.142719i
$902$	14.7592	−	6.52589i	0.491428	−	0.217289i
$903$	6.01161	+	20.0231i	0.200054	+	0.666328i
$904$	−28.3634	−	31.9925i	−0.943351	−	1.06406i
$905$			22.3014i			0.741323i
$906$	−22.4566	+	2.53292i	−0.746071	+	0.0841507i
$907$		−	31.7929i		−	1.05567i	−0.849348	−	0.527833i	$-0.823005\pi$
$907$		−	31.7929i		−	1.05567i	0.849348	−	0.527833i	$-0.176995\pi$
$908$	8.14330	+	25.5072i	0.270245	+	0.846485i
$909$	6.16331	+	0.521381i	0.204424	+	0.0172931i
$910$	6.86762	−	10.9829i	0.227659	−	0.364079i
$911$	16.0911	+	27.8705i	0.533121	+	0.923392i	0.999252	+	0.0386763i	$0.0123141\pi$
$911$	16.0911	+	27.8705i	0.533121	+	0.923392i	−0.466131	+	0.884716i	$0.654353\pi$
$912$	−5.68360	−	17.4983i	−0.188203	−	0.579426i
$913$	3.61664	+	6.26421i	0.119693	+	0.207315i
$914$	−9.42140	−	21.3078i	−0.311632	−	0.704799i
$915$	−8.68408	+	1.93831i	−0.287087	+	0.0640784i
$916$	7.95080	+	24.9042i	0.262702	+	0.822857i
$917$	−17.6071	+	11.9340i	−0.581436	+	0.394094i
$918$	−40.3311	−	21.8070i	−1.33112	−	0.719739i
$919$	−12.8002	+	7.39019i	−0.422239	+	0.243780i	−0.696035	−	0.718008i	$-0.745054\pi$
$919$	−12.8002	+	7.39019i	−0.422239	+	0.243780i	0.273796	+	0.961788i	$0.411721\pi$
$920$	−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
$924$	−13.7411	+	1.06154i	−0.452050	+	0.0349221i
$925$	−16.6459	−	28.8315i	−0.547313	−	0.947975i
$926$	4.59093	−	2.02991i	0.150867	−	0.0667071i
$927$	−8.75467	−	0.740596i	−0.287541	−	0.0243244i
$928$	5.69832	+	10.1689i	0.187057	+	0.333810i
$929$	−43.8195	−	25.2992i	−1.43767	−	0.830041i	−0.439985	−	0.898005i	$-0.645016\pi$
$929$	−43.8195	−	25.2992i	−1.43767	−	0.830041i	−0.997688	+	0.0679648i	$0.978349\pi$
$930$	−1.75318	+	1.29422i	−0.0574889	+	0.0424392i
$931$	−2.67006	−	18.3961i	−0.0875075	−	0.602907i
$932$	−8.66611	−	7.88390i	−0.283868	−	0.258246i
$933$	−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
$936$	−16.1589	−	21.6602i	−0.528170	−	0.707987i
$937$	32.7292			1.06922			0.534608	−	0.845100i	$-0.320459\pi$
$937$	32.7292			1.06922			0.534608	+	0.845100i	$0.320459\pi$
$938$	−16.1429	−	30.3831i	−0.527084	−	0.992044i
$939$	−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	−0.612899	−	0.790161i	$-0.709997\pi$
$941$	−7.21031	+	4.16287i	−0.235049	+	0.135706i	0.377850	+	0.925867i	$0.376664\pi$
$942$	−8.95732	+	6.61243i	−0.291845	+	0.215445i
$943$	−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	−0.0496684	−	0.998766i	$-0.515816\pi$
$947$	25.8534	−	44.7794i	0.840122	−	1.45513i	0.889791	−	0.456369i	$-0.150850\pi$
$948$	25.2099	+	43.1619i	0.818780	+	1.40183i
$949$	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
$952$	45.2414	+	11.5419i	1.46628	+	0.374074i
$953$		−	23.0749i		−	0.747468i	−0.927536	−	0.373734i	$-0.878077\pi$
$953$		−	23.0749i		−	0.747468i	0.927536	−	0.373734i	$-0.121923\pi$
$954$	−1.09609	−	3.18009i	−0.0354871	−	0.102959i
$955$	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
$958$	14.1628	−	19.3886i	0.457579	−	0.626417i
$959$	−24.2757	−	35.8157i	−0.783903	−	1.15655i
$960$	1.49604	+	14.9878i	0.0482845	+	0.483729i
$961$	−15.1651	+	26.2667i	−0.489197	+	0.847314i
$962$	23.1632	−	31.7100i	0.746812	−	1.02237i
$963$	29.7530	−	13.9782i	0.958776	−	0.450443i
$964$	−1.68827	−	5.28815i	−0.0543755	−	0.170320i
$965$	10.8336	−	6.25478i	0.348746	−	0.201348i
$966$	13.7036	+	16.0083i	0.440906	+	0.515059i
$967$	−30.3476	−	17.5212i	−0.975913	−	0.563444i	−0.0748791	−	0.997193i	$-0.523857\pi$
$967$	−30.3476	−	17.5212i	−0.975913	−	0.563444i	−0.901034	+	0.433749i	$0.857190\pi$
$968$	−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	$-0.101548\pi$
$971$	6.33039	+	10.9646i	0.203152	+	0.351869i	−0.746390	+	0.665508i	$0.768215\pi$
$972$	−24.0975	−	19.7816i	−0.772928	−	0.634494i
$973$	61.1098	−	4.41171i	1.95909	−	0.141433i
$974$	−1.30391	+	0.576535i	−0.0417801	+	0.0184734i
$975$	4.58836	+	20.5570i	0.146945	+	0.658350i
$976$	−1.78290	−	18.8192i	−0.0570691	−	0.602387i
$977$	−17.4860	+	10.0955i	−0.559426	+	0.322985i	−0.752915	−	0.658118i	$-0.771353\pi$
$977$	−17.4860	+	10.0955i	−0.559426	+	0.322985i	0.193489	+	0.981102i	$0.438020\pi$
$978$	1.26184	+	1.70931i	0.0403492	+	0.0546577i
$979$	8.88634	−	5.13053i	0.284009	−	0.163972i
$980$	−1.07102	+	15.1806i	−0.0342124	+	0.484927i
$981$	35.8433	+	24.9446i	1.14439	+	0.796420i
$982$	−1.12015	−	2.53337i	−0.0357453	−	0.0808430i
$983$	43.8020			1.39707			0.698534	−	0.715577i	$-0.253836\pi$
$983$	43.8020			1.39707			0.698534	+	0.715577i	$0.253836\pi$
$984$	−36.9811	−	3.79470i	−1.17891	−	0.120971i
$985$	−12.6515			−0.403109
$986$	10.7250	−	14.6823i	0.341552	−	0.467578i
$987$	45.4374	+	42.8008i	1.44629	+	1.36236i
$988$	−16.1133	+	5.14427i	−0.512633	+	0.163661i
$989$	−12.8466	+	7.41698i	−0.408498	+	0.235846i
$990$	−4.54821	+	5.23536i	−0.144552	+	0.166391i
$991$	24.9914	+	14.4288i	0.793878	+	0.458346i	0.841326	−	0.540528i	$-0.181776\pi$
$991$	24.9914	+	14.4288i	0.793878	+	0.458346i	−0.0474481	+	0.998874i	$0.515109\pi$
$992$	−2.26318	−	4.03873i	−0.0718560	−	0.128230i
$993$	−25.6056	+	5.71524i	−0.812570	+	0.181368i
$994$	1.60459	−	45.5434i	0.0508945	−	1.44455i
$995$	8.87818	−	15.3775i	0.281457	−	0.487498i
$996$	−0.0838390	−	16.6627i	−0.00265654	−	0.527978i
$997$	−23.7242			−0.751352			−0.375676	−	0.926751i	$-0.622589\pi$
$997$	−23.7242			−0.751352			−0.375676	+	0.926751i	$0.622589\pi$
$998$	31.3285	+	22.8846i	0.991687	+	0.724398i
$999$	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.95.14	✓	88
3.2	odd	2		756.2.o.a.179.31		88
4.3	odd	2	inner	252.2.o.a.95.28	yes	88
7.2	even	3		252.2.bb.a.23.42	yes	88
9.2	odd	6		252.2.bb.a.11.3	yes	88
9.7	even	3		756.2.bb.a.683.42		88
12.11	even	2		756.2.o.a.179.17		88
21.2	odd	6		756.2.bb.a.611.3		88
28.23	odd	6		252.2.bb.a.23.3	yes	88
36.7	odd	6		756.2.bb.a.683.3		88
36.11	even	6		252.2.bb.a.11.42	yes	88
63.2	odd	6	inner	252.2.o.a.191.28	yes	88
63.16	even	3		756.2.o.a.359.17		88
84.23	even	6		756.2.bb.a.611.42		88
252.79	odd	6		756.2.o.a.359.31		88
252.191	even	6	inner	252.2.o.a.191.14	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.14	✓	88	1.1	even	1	trivial
252.2.o.a.95.28	yes	88	4.3	odd	2	inner
252.2.o.a.191.14	yes	88	252.191	even	6	inner
252.2.o.a.191.28	yes	88	63.2	odd	6	inner
252.2.bb.a.11.3	yes	88	9.2	odd	6
252.2.bb.a.11.42	yes	88	36.11	even	6
252.2.bb.a.23.3	yes	88	28.23	odd	6
252.2.bb.a.23.42	yes	88	7.2	even	3
756.2.o.a.179.17		88	12.11	even	2
756.2.o.a.179.31		88	3.2	odd	2
756.2.o.a.359.17		88	63.16	even	3
756.2.o.a.359.31		88	252.79	odd	6
756.2.bb.a.611.3		88	21.2	odd	6
756.2.bb.a.611.42		88	84.23	even	6
756.2.bb.a.683.3		88	36.7	odd	6
756.2.bb.a.683.42		88	9.7	even	3

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)

\(f(q)\)	\(=\)	\(q+(-0.834187 + 1.14199i) q^{2} +(-1.27532 + 1.17199i) q^{3} +(-0.608265 - 1.90526i) q^{4} -1.08703i q^{5} +(-0.274541 - 2.43406i) q^{6} +(2.19009 - 1.48443i) q^{7} +(2.68319 + 0.894712i) q^{8} +(0.252880 - 2.98932i) q^{9} +O(q^{10})\)	\(q+(-0.834187 + 1.14199i) q^{2} +(-1.27532 + 1.17199i) q^{3} +(-0.608265 - 1.90526i) q^{4} -1.08703i q^{5} +(-0.274541 - 2.43406i) q^{6} +(2.19009 - 1.48443i) q^{7} +(2.68319 + 0.894712i) q^{8} +(0.252880 - 2.98932i) q^{9} +(1.24137 + 0.906782i) q^{10} -1.50375 q^{11} +(3.00868 + 1.71693i) q^{12} +(1.59238 - 2.75809i) q^{13} +(-0.131745 + 3.73934i) q^{14} +(1.27398 + 1.38630i) q^{15} +(-3.26003 + 2.31780i) q^{16} +(5.40337 + 3.11964i) q^{17} +(3.20282 + 2.78244i) q^{18} +(2.29977 - 1.32777i) q^{19} +(-2.07106 + 0.661199i) q^{20} +(-1.05332 + 4.45988i) q^{21} +(1.25441 - 1.71726i) q^{22} -3.25157 q^{23} +(-4.47051 + 2.00362i) q^{24} +3.81838 q^{25} +(1.82135 + 4.11924i) q^{26} +(3.18095 + 4.10871i) q^{27} +(-4.16037 - 3.26976i) q^{28} +(-1.78455 + 1.03031i) q^{29} +(-2.64588 + 0.298433i) q^{30} +(0.708761 - 0.409204i) q^{31} +(0.0725710 - 5.65639i) q^{32} +(1.91776 - 1.76238i) q^{33} +(-8.07001 + 3.56822i) q^{34} +(-1.61361 - 2.38068i) q^{35} +(-5.84925 + 1.33650i) 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} +(-4.21445 - 4.92325i) q^{42} +(3.95088 - 2.28104i) q^{43} +(0.914677 + 2.86503i) q^{44} +(-3.24947 - 0.274887i) q^{45} +(2.71242 - 3.71325i) q^{46} +(6.81076 - 11.7966i) q^{47} +(1.44113 - 6.77666i) q^{48} +(2.59295 - 6.50205i) q^{49} +(-3.18524 + 4.36053i) q^{50} +(-10.5472 + 2.35416i) q^{51} +(-6.22346 - 1.35625i) q^{52} +(-0.686610 - 0.396415i) q^{53} +(-7.34560 + 0.205170i) q^{54} +1.63461i q^{55} +(7.20454 - 2.02350i) q^{56} +(-1.37681 + 4.38864i) q^{57} +(0.312047 - 2.89740i) q^{58} +(-1.19637 - 2.07217i) q^{59} +(1.86635 - 3.27051i) 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} +(0.412841 + 3.66021i) q^{66} +(-7.96329 + 4.59761i) q^{67} +(2.65704 - 12.1924i) q^{68} +(4.14680 - 3.81081i) q^{69} +(4.06475 + 0.143210i) q^{70} -12.1795 q^{71} +(3.35311 - 7.79466i) q^{72} +(-4.02960 + 6.97947i) q^{73} +(12.2594 + 1.32033i) q^{74} +(-4.86965 + 4.47510i) q^{75} +(-3.92862 - 3.57402i) q^{76} +(-3.29334 + 2.23221i) q^{77} +(-7.15051 - 3.11874i) q^{78} +(12.4962 + 7.21470i) q^{79} +(2.51951 + 3.54373i) q^{80} +(-8.87210 - 1.51188i) q^{81} +(-9.81494 + 4.33975i) q^{82} +(-2.40508 - 4.16573i) q^{83} +(9.13792 - 0.705929i) 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} +(3.02458 - 3.48154i) q^{90} +(-0.606727 - 8.40422i) q^{91} +(1.97782 + 6.19509i) q^{92} +(-0.424315 + 1.35253i) q^{93} +(7.79008 + 17.6183i) q^{94} +(-1.44332 - 2.49991i) q^{95} +(6.53668 + 7.29876i) q^{96} +(6.69603 + 11.5979i) q^{97} +(5.26224 + 8.38503i) 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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