LMFDB - Embedded newform 360.2.bk.a.229.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(229,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))

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

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

chi := DirichletCharacter("360.229");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bk (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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$136$
Relative dimension:	$68$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			229.10
Character	$\chi$	$=$	360.229
Dual form			360.2.bk.a.349.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.25986 - 0.642465i) q^{2} +(1.66988 + 0.459910i) q^{3} +(1.17448 + 1.61883i) q^{4} +(-1.65905 - 1.49919i) q^{5} +(-1.80833 - 1.65226i) q^{6} +(1.92958 - 1.11405i) q^{7} +(-0.439633 - 2.79405i) q^{8} +(2.57697 + 1.53598i) q^{9} +O(q^{10})$	\(q+(-1.25986 - 0.642465i) q^{2} +(1.66988 + 0.459910i) q^{3} +(1.17448 + 1.61883i) q^{4} +(-1.65905 - 1.49919i) q^{5} +(-1.80833 - 1.65226i) q^{6} +(1.92958 - 1.11405i) q^{7} +(-0.439633 - 2.79405i) q^{8} +(2.57697 + 1.53598i) q^{9} +(1.12698 + 2.95464i) q^{10} +(-2.08603 + 1.20437i) q^{11} +(1.21672 + 3.24339i) q^{12} +(3.31875 - 5.74825i) q^{13} +(-3.14674 + 0.163848i) q^{14} +(-2.08091 - 3.26647i) q^{15} +(-1.24121 + 3.80255i) q^{16} -0.0940311i q^{17} +(-2.25979 - 3.59073i) q^{18} -2.75300i q^{19} +(0.478415 - 4.44647i) q^{20} +(3.73453 - 0.972883i) q^{21} +(3.40186 - 0.177132i) q^{22} +(3.86892 + 2.23372i) q^{23} +(0.550879 - 4.86791i) q^{24} +(0.504868 + 4.97445i) q^{25} +(-7.87420 + 5.10979i) q^{26} +(3.59680 + 3.75007i) q^{27} +(4.06970 + 1.81524i) q^{28} +(5.33269 - 3.07883i) q^{29} +(0.523054 + 5.45219i) q^{30} +(-1.45606 + 2.52198i) q^{31} +(4.00675 - 3.99324i) q^{32} +(-4.03731 + 1.05176i) q^{33} +(-0.0604117 + 0.118466i) q^{34} +(-4.87144 - 1.04456i) q^{35} +(0.540095 + 5.97564i) q^{36} -3.81657 q^{37} +(-1.76871 + 3.46839i) q^{38} +(8.18558 - 8.07253i) q^{39} +(-3.45944 + 5.29455i) q^{40} +(2.67014 - 4.62482i) q^{41} +(-5.33001 - 1.17361i) q^{42} +(-1.75888 - 3.04647i) q^{43} +(-4.39966 - 1.96241i) q^{44} +(-1.97258 - 6.41163i) q^{45} +(-3.43920 - 5.29981i) q^{46} +(5.64955 - 3.26177i) q^{47} +(-3.82149 + 5.77895i) q^{48} +(-1.01780 + 1.76288i) q^{49} +(2.55985 - 6.59145i) q^{50} +(0.0432458 - 0.157020i) q^{51} +(13.2032 - 1.37870i) q^{52} -12.4088 q^{53} +(-2.12216 - 7.03537i) q^{54} +(5.26639 + 1.12925i) q^{55} +(-3.96101 - 4.90159i) q^{56} +(1.26613 - 4.59717i) q^{57} +(-8.69647 + 0.452818i) q^{58} +(9.14320 + 5.27883i) q^{59} +(2.84387 - 7.20503i) q^{60} +(-9.55048 + 5.51397i) q^{61} +(3.45471 - 2.24186i) q^{62} +(6.68363 + 0.0929520i) q^{63} +(-7.61345 + 2.45672i) q^{64} +(-14.1237 + 4.56117i) q^{65} +(5.76215 + 1.26876i) q^{66} +(0.00650115 - 0.0112603i) q^{67} +(0.152220 - 0.110437i) q^{68} +(5.43330 + 5.50939i) q^{69} +(5.46622 + 4.44572i) q^{70} -8.94391 q^{71} +(3.15870 - 7.87544i) q^{72} -1.64020i q^{73} +(4.80834 + 2.45202i) q^{74} +(-1.44473 + 8.53890i) q^{75} +(4.45664 - 3.23334i) q^{76} +(-2.68344 + 4.64786i) q^{77} +(-15.4990 + 4.91128i) q^{78} +(3.43390 + 5.94770i) q^{79} +(7.75996 - 4.44781i) q^{80} +(4.28151 + 7.91636i) q^{81} +(-6.33528 + 4.11114i) q^{82} +(8.55114 + 14.8110i) q^{83} +(5.96105 + 4.90293i) q^{84} +(-0.140970 + 0.156002i) q^{85} +(0.258687 + 4.96814i) q^{86} +(10.3209 - 2.68871i) q^{87} +(4.28215 + 5.29899i) q^{88} -0.0654503 q^{89} +(-1.63408 + 9.34504i) q^{90} -14.7890i q^{91} +(0.927948 + 8.88657i) q^{92} +(-3.59132 + 3.54173i) q^{93} +(-9.21320 + 0.479724i) q^{94} +(-4.12727 + 4.56736i) q^{95} +(8.52730 - 4.82547i) q^{96} +(-11.9503 + 6.89952i) q^{97} +(2.41487 - 1.56708i) q^{98} +(-7.22551 - 0.100488i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) $ 136 * q - 2 * q^4 - 8 * q^9	$ 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) $ 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$-1$	$1$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.25986	−	0.642465i	−0.890853	−	0.454291i
$2$	−1.25986	−	0.642465i	−0.890853	−	0.454291i
$3$	1.66988	+	0.459910i	0.964103	+	0.265529i
$3$	1.66988	+	0.459910i	0.964103	+	0.265529i
$4$	1.17448	+	1.61883i	0.587239	+	0.809414i
$5$	−1.65905	−	1.49919i	−0.741948	−	0.670457i
$5$	−1.65905	−	1.49919i	−0.741948	−	0.670457i
$6$	−1.80833	−	1.65226i	−0.738247	−	0.674531i
$7$	1.92958	−	1.11405i	0.729315	−	0.421070i	−0.0888568	−	0.996044i	$-0.528321\pi$
$7$	1.92958	−	1.11405i	0.729315	−	0.421070i	0.818171	+	0.574974i	$0.194988\pi$
$8$	−0.439633	−	2.79405i	−0.155434	−	0.987846i
$9$	2.57697	+	1.53598i	0.858989	+	0.511995i
$10$	1.12698	+	2.95464i	0.356384	+	0.934340i
$11$	−2.08603	+	1.20437i	−0.628961	+	0.363131i	−0.780350	−	0.625344i	$-0.784959\pi$
$11$	−2.08603	+	1.20437i	−0.628961	+	0.363131i	0.151389	+	0.988474i	$0.451626\pi$
$12$	1.21672	+	3.24339i	0.351236	+	0.936287i
$13$	3.31875	−	5.74825i	0.920456	−	1.59428i	0.121746	−	0.992561i	$-0.461151\pi$
$13$	3.31875	−	5.74825i	0.920456	−	1.59428i	0.798710	−	0.601716i	$-0.205516\pi$
$14$	−3.14674	+	0.163848i	−0.841001	+	0.0437902i
$15$	−2.08091	−	3.26647i	−0.537288	−	0.843399i
$16$	−1.24121	+	3.80255i	−0.310301	+	0.950638i
$17$		−	0.0940311i		−	0.0228059i	−0.999935	−	0.0114029i	$-0.996370\pi$
$17$		−	0.0940311i		−	0.0228059i	0.999935	−	0.0114029i	$-0.00362975\pi$
$18$	−2.25979	−	3.59073i	−0.532638	−	0.846343i
$19$		−	2.75300i		−	0.631583i	−0.948829	−	0.315791i	$-0.897730\pi$
$19$		−	2.75300i		−	0.631583i	0.948829	−	0.315791i	$-0.102270\pi$
$20$	0.478415	−	4.44647i	0.106977	−	0.994262i
$21$	3.73453	−	0.972883i	0.814941	−	0.212301i
$22$	3.40186	−	0.177132i	0.725279	−	0.0377647i
$23$	3.86892	+	2.23372i	0.806725	+	0.465763i	0.845817	−	0.533473i	$-0.179113\pi$
$23$	3.86892	+	2.23372i	0.806725	+	0.465763i	−0.0390921	+	0.999236i	$0.512447\pi$
$24$	0.550879	−	4.86791i	0.112448	−	0.993658i
$25$	0.504868	+	4.97445i	0.100974	+	0.994889i
$26$	−7.87420	+	5.10979i	−1.54426	+	1.00211i
$27$	3.59680	+	3.75007i	0.692204	+	0.721702i
$28$	4.06970	+	1.81524i	0.769102	+	0.343049i
$29$	5.33269	−	3.07883i	0.990256	−	0.571724i	0.0849050	−	0.996389i	$-0.472941\pi$
$29$	5.33269	−	3.07883i	0.990256	−	0.571724i	0.905351	+	0.424665i	$0.139608\pi$
$30$	0.523054	+	5.45219i	0.0954962	+	0.995430i
$31$	−1.45606	+	2.52198i	−0.261517	+	0.452960i	−0.966645	−	0.256119i	$-0.917556\pi$
$31$	−1.45606	+	2.52198i	−0.261517	+	0.452960i	0.705128	+	0.709080i	$0.250889\pi$
$32$	4.00675	−	3.99324i	0.708300	−	0.705912i
$33$	−4.03731	+	1.05176i	−0.702805	+	0.183088i
$34$	−0.0604117	+	0.118466i	−0.0103605	+	0.0203167i
$35$	−4.87144	−	1.04456i	−0.823423	−	0.176562i
$36$	0.540095	+	5.97564i	0.0900159	+	0.995940i
$37$	−3.81657			−0.627441			−0.313720	−	0.949515i	$-0.601575\pi$
$37$	−3.81657			−0.627441			−0.313720	+	0.949515i	$0.601575\pi$
$38$	−1.76871	+	3.46839i	−0.286922	+	0.562647i
$39$	8.18558	−	8.07253i	1.31074	−	1.29264i
$40$	−3.45944	+	5.29455i	−0.546985	+	0.837142i
$41$	2.67014	−	4.62482i	0.417006	−	0.722276i	−0.578630	−	0.815590i	$-0.696413\pi$
$41$	2.67014	−	4.62482i	0.417006	−	0.722276i	0.995637	+	0.0933138i	$0.0297460\pi$
$42$	−5.33001	−	1.17361i	−0.822439	−	0.181092i
$43$	−1.75888	−	3.04647i	−0.268227	−	0.464583i	0.700177	−	0.713969i	$-0.253104\pi$
$43$	−1.75888	−	3.04647i	−0.268227	−	0.464583i	−0.968404	+	0.249386i	$0.919771\pi$
$44$	−4.39966	−	1.96241i	−0.663273	−	0.295845i
$45$	−1.97258	−	6.41163i	−0.294054	−	0.955789i
$46$	−3.43920	−	5.29981i	−0.507082	−	0.781415i
$47$	5.64955	−	3.26177i	0.824072	−	0.475778i	−0.0277468	−	0.999615i	$-0.508833\pi$
$47$	5.64955	−	3.26177i	0.824072	−	0.475778i	0.851819	+	0.523837i	$0.175500\pi$
$48$	−3.82149	+	5.77895i	−0.551584	+	0.834119i
$49$	−1.01780	+	1.76288i	−0.145400	+	0.251840i
$50$	2.55985	−	6.59145i	0.362017	−	0.932172i
$51$	0.0432458	−	0.157020i	0.00605562	−	0.0219872i
$52$	13.2032	−	1.37870i	1.83096	−	0.191191i
$53$	−12.4088			−1.70448			−0.852240	−	0.523152i	$-0.824756\pi$
$53$	−12.4088			−1.70448			−0.852240	+	0.523152i	$0.824756\pi$
$54$	−2.12216	−	7.03537i	−0.288789	−	0.957393i
$55$	5.26639	+	1.12925i	0.710120	+	0.152267i
$56$	−3.96101	−	4.90159i	−0.529313	−	0.655002i
$57$	1.26613	−	4.59717i	0.167704	−	0.608911i
$58$	−8.69647	+	0.452818i	−1.14190	+	0.0594579i
$59$	9.14320	+	5.27883i	1.19034	+	0.687245i	0.958385	−	0.285480i	$-0.0921531\pi$
$59$	9.14320	+	5.27883i	1.19034	+	0.687245i	0.231959	+	0.972726i	$0.425486\pi$
$60$	2.84387	−	7.20503i	0.367142	−	0.930165i
$61$	−9.55048	+	5.51397i	−1.22281	+	0.705992i	−0.965517	−	0.260340i	$-0.916165\pi$
$61$	−9.55048	+	5.51397i	−1.22281	+	0.705992i	−0.257297	+	0.966332i	$0.582832\pi$
$62$	3.45471	−	2.24186i	0.438749	−	0.284716i
$63$	6.68363	+	0.0929520i	0.842059	+	0.0117109i
$64$	−7.61345	+	2.45672i	−0.951681	+	0.307089i
$65$	−14.1237	+	4.56117i	−1.75183	+	0.565744i
$66$	5.76215	+	1.26876i	0.709271	+	0.156174i
$67$	0.00650115	−	0.0112603i	0.000794242	−	0.00137567i	−0.865628	−	0.500688i	$-0.833081\pi$
$67$	0.00650115	−	0.0112603i	0.000794242	−	0.00137567i	0.866422	+	0.499312i	$0.166414\pi$
$68$	0.152220	−	0.110437i	0.0184594	−	0.0133925i
$69$	5.43330	+	5.50939i	0.654093	+	0.663253i
$70$	5.46622	+	4.44572i	0.653338	+	0.531365i
$71$	−8.94391			−1.06145			−0.530723	−	0.847545i	$-0.678080\pi$
$71$	−8.94391			−1.06145			−0.530723	+	0.847545i	$0.678080\pi$
$72$	3.15870	−	7.87544i	0.372256	−	0.928130i
$73$		−	1.64020i		−	0.191971i	−0.995383	−	0.0959855i	$-0.969400\pi$
$73$		−	1.64020i		−	0.191971i	0.995383	−	0.0959855i	$-0.0306003\pi$
$74$	4.80834	+	2.45202i	0.558958	+	0.285041i
$75$	−1.44473	+	8.53890i	−0.166823	+	0.985987i
$76$	4.45664	−	3.23334i	0.511212	−	0.370890i
$77$	−2.68344	+	4.64786i	−0.305807	+	0.529673i
$78$	−15.4990	+	4.91128i	−1.75491	+	0.556093i
$79$	3.43390	+	5.94770i	0.386344	+	0.669168i	0.991955	−	0.126593i	$-0.0404043\pi$
$79$	3.43390	+	5.94770i	0.386344	+	0.669168i	−0.605610	+	0.795761i	$0.707071\pi$
$80$	7.75996	−	4.44781i	0.867590	−	0.497280i
$81$	4.28151	+	7.91636i	0.475723	+	0.879595i
$82$	−6.33528	+	4.11114i	−0.699615	+	0.454000i
$83$	8.55114	+	14.8110i	0.938609	+	1.62572i	0.768068	+	0.640368i	$0.221218\pi$
$83$	8.55114	+	14.8110i	0.938609	+	1.62572i	0.170541	+	0.985351i	$0.445448\pi$
$84$	5.96105	+	4.90293i	0.650404	+	0.534953i
$85$	−0.140970	+	0.156002i	−0.0152904	+	0.0169208i
$86$	0.258687	+	4.96814i	0.0278949	+	0.535728i
$87$	10.3209	−	2.68871i	1.10652	−	0.288259i
$88$	4.28215	+	5.29899i	0.456479	+	0.564874i
$89$	−0.0654503			−0.00693772			−0.00346886	−	0.999994i	$-0.501104\pi$
$89$	−0.0654503			−0.00693772			−0.00346886	+	0.999994i	$0.501104\pi$
$90$	−1.63408	+	9.34504i	−0.172247	+	0.985054i
$91$		−	14.7890i		−	1.55031i
$92$	0.927948	+	8.88657i	0.0967453	+	0.926489i
$93$	−3.59132	+	3.54173i	−0.372403	+	0.367260i
$94$	−9.21320	+	0.479724i	−0.950269	+	0.0494797i
$95$	−4.12727	+	4.56736i	−0.423449	+	0.468601i
$96$	8.52730	−	4.82547i	0.870314	−	0.492498i
$97$	−11.9503	+	6.89952i	−1.21337	+	0.700540i	−0.963492	−	0.267737i	$-0.913724\pi$
$97$	−11.9503	+	6.89952i	−1.21337	+	0.700540i	−0.249879	+	0.968277i	$0.580391\pi$
$98$	2.41487	−	1.56708i	0.243939	−	0.158299i
$99$	−7.22551	−	0.100488i	−0.726191	−	0.0100994i
$100$	−7.45981	+	6.65967i	−0.745981	+	0.665967i
$101$	−10.7739	+	6.22032i	−1.07204	+	0.618945i	−0.928739	−	0.370733i	$-0.879106\pi$
$101$	−10.7739	+	6.22032i	−1.07204	+	0.618945i	−0.143305	+	0.989679i	$0.545773\pi$
$102$	−0.155363	+	0.170039i	−0.0153833	+	0.0168364i
$103$	−3.74611	−	2.16282i	−0.369116	−	0.213109i	0.303956	−	0.952686i	$-0.401692\pi$
$103$	−3.74611	−	2.16282i	−0.369116	−	0.213109i	−0.673072	+	0.739577i	$0.735026\pi$
$104$	−17.5199	−	6.74564i	−1.71797	−	0.661465i
$105$	−7.65429	−	3.98470i	−0.746982	−	0.388867i
$106$	15.6333	+	7.97222i	1.51844	+	0.774330i
$107$	−10.7739			−1.04155			−0.520776	−	0.853693i	$-0.674357\pi$
$107$	−10.7739			−1.04155			−0.520776	+	0.853693i	$0.674357\pi$
$108$	−1.84636	+	10.2270i	−0.177667	+	0.984091i
$109$			15.3660i			1.47179i	0.677093	+	0.735897i	$0.263239\pi$
$109$			15.3660i			1.47179i	−0.677093	+	0.735897i	$0.736761\pi$
$110$	−5.90940	−	4.80616i	−0.563439	−	0.458249i
$111$	−6.37320	−	1.75528i	−0.604918	−	0.166604i
$112$	1.84121	+	8.72011i	0.173978	+	0.823973i
$113$	3.29558	+	1.90270i	0.310022	+	0.178991i	0.646936	−	0.762544i	$-0.276050\pi$
$113$	3.29558	+	1.90270i	0.310022	+	0.178991i	−0.336914	+	0.941535i	$0.609383\pi$
$114$	−4.54867	+	4.97833i	−0.426022	+	0.466264i
$115$	−3.06995	−	9.50608i	−0.286274	−	0.886447i
$116$	11.2472	+	5.01669i	1.04428	+	0.465788i
$117$	17.3815	−	9.71549i	1.60692	−	0.898197i
$118$	−8.12766	−	12.5248i	−0.748212	−	1.15300i
$119$	−0.104755	−	0.181441i	−0.00960287	−	0.0166327i
$120$	−8.21185	+	7.25021i	−0.749636	+	0.661851i
$121$	−2.59899	+	4.50159i	−0.236272	+	0.409235i
$122$	15.5748	−	0.810966i	1.41007	−	0.0734214i
$123$	6.58581	−	6.49485i	0.593822	−	0.585621i
$124$	−5.79276	+	0.604888i	−0.520205	+	0.0543206i
$125$	6.62003	−	9.00973i	0.592114	−	0.805854i
$126$	−8.36070	−	4.41111i	−0.744830	−	0.392973i
$127$		−	3.80739i		−	0.337851i	−0.985629	−	0.168926i	$-0.945970\pi$
$127$		−	3.80739i		−	0.337851i	0.985629	−	0.168926i	$-0.0540298\pi$
$128$	11.1702	+	1.79626i	0.987316	+	0.158769i
$129$	−1.53601	−	5.89616i	−0.135238	−	0.519128i
$130$	20.7242	+	3.32754i	1.81763	+	0.291845i
$131$	5.10426	+	2.94694i	0.445961	+	0.257476i	0.706123	−	0.708089i	$-0.250443\pi$
$131$	5.10426	+	2.94694i	0.445961	+	0.257476i	−0.260162	+	0.965565i	$0.583776\pi$
$132$	−6.44434	−	5.30043i	−0.560908	−	0.461344i
$133$	−3.06697	−	5.31216i	−0.265940	−	0.460622i
$134$	−0.0154249	+	0.0100096i	−0.00133251	+	0.000864700i
$135$	−0.345185	−	11.6138i	−0.0297088	−	0.999559i
$136$	−0.262728	+	0.0413392i	−0.0225287	+	0.00354481i
$137$	9.16932	−	5.29391i	0.783388	−	0.452289i	−0.0542419	−	0.998528i	$-0.517274\pi$
$137$	9.16932	−	5.29391i	0.783388	−	0.452289i	0.837629	+	0.546239i	$0.183941\pi$
$138$	−3.30559	−	10.4317i	−0.281391	−	0.888009i
$139$	15.1120	+	8.72493i	1.28179	+	0.740039i	0.977175	−	0.212438i	$-0.0681402\pi$
$139$	15.1120	+	8.72493i	1.28179	+	0.740039i	0.304611	+	0.952477i	$0.401474\pi$
$140$	−4.03043	−	9.11282i	−0.340634	−	0.770174i
$141$	10.9342	−	2.84846i	0.920823	−	0.239884i
$142$	11.2680	+	5.74615i	0.945593	+	0.482206i
$143$			15.9880i			1.33698i
$144$	−9.03920	+	7.89258i	−0.753267	+	0.657715i
$145$	−13.4629	−	2.88679i	−1.11804	−	0.239735i
$146$	−1.05377	+	2.06642i	−0.0872108	+	0.171018i
$147$	−2.51037	+	2.47570i	−0.207052	+	0.204192i
$148$	−4.48248	−	6.17838i	−0.368458	−	0.507859i
$149$	−12.5214	−	7.22923i	−1.02579	−	0.592241i	−0.110016	−	0.993930i	$-0.535090\pi$
$149$	−12.5214	−	7.22923i	−1.02579	−	0.592241i	−0.915776	+	0.401688i	$0.868423\pi$
$150$	7.30610	−	9.82960i	0.596540	−	0.802583i
$151$	−3.65028	−	6.32247i	−0.297056	−	0.514515i	0.678405	−	0.734688i	$-0.262671\pi$
$151$	−3.65028	−	6.32247i	−0.297056	−	0.514515i	−0.975461	+	0.220172i	$0.929338\pi$
$152$	−7.69204	+	1.21031i	−0.623907	+	0.0981693i
$153$	0.144430	−	0.242315i	0.0116765	−	0.0195900i
$154$	6.36684	−	4.13162i	0.513055	−	0.332936i
$155$	6.19659	−	2.00116i	0.497722	−	0.160737i
$156$	22.6818	+	3.77003i	1.81600	+	0.301844i
$157$	4.00637	−	6.93923i	0.319743	−	0.553811i	−0.660691	−	0.750658i	$-0.729737\pi$
$157$	4.00637	−	6.93923i	0.319743	−	0.553811i	0.980434	+	0.196847i	$0.0630701\pi$
$158$	−0.505040	−	9.69941i	−0.0401788	−	0.771644i
$159$	−20.7211	−	5.70693i	−1.64329	−	0.452589i
$160$	−12.6340	+	0.618100i	−0.998805	+	0.0488651i
$161$	9.95388			0.784475
$162$	−0.308102	−	12.7242i	−0.0242068	−	0.999707i
$163$	11.3109			0.885941			0.442971	−	0.896536i	$-0.353925\pi$
$163$	11.3109			0.885941			0.442971	+	0.896536i	$0.353925\pi$
$164$	10.6228	−	1.10925i	0.829502	−	0.0866179i
$165$	8.27486	+	4.30776i	0.644197	+	0.335359i
$166$	−1.25766	−	24.1535i	−0.0976130	−	1.87468i
$167$	−8.23501	−	4.75448i	−0.637244	−	0.367913i	0.146308	−	0.989239i	$-0.453261\pi$
$167$	−8.23501	−	4.75448i	−0.637244	−	0.367913i	−0.783552	+	0.621326i	$0.786594\pi$
$168$	−4.36011	−	10.0067i	−0.336390	−	0.772037i
$169$	−15.5282	−	26.8957i	−1.19448	−	2.06890i
$170$	0.277828	−	0.105972i	0.0213084	−	0.00812764i
$171$	4.22857	−	7.09440i	0.323367	−	0.542522i
$172$	2.86595	−	6.42534i	0.218526	−	0.489928i
$173$	1.51355	+	2.62154i	0.115073	+	0.199312i	0.917809	−	0.397023i	$-0.129957\pi$
$173$	1.51355	+	2.62154i	0.115073	+	0.199312i	−0.802736	+	0.596335i	$0.796623\pi$
$174$	−14.7303	−	3.24344i	−1.11670	−	0.245885i
$175$	6.51595	+	9.03617i	0.492559	+	0.683070i
$176$	−1.99049	−	9.42710i	−0.150039	−	0.710594i
$177$	12.8402	+	13.0200i	0.965130	+	0.978646i
$178$	0.0824580	+	0.0420495i	0.00618049	+	0.00315175i
$179$			25.1706i			1.88134i	0.339326	+	0.940669i	$0.389801\pi$
$179$			25.1706i			1.88134i	−0.339326	+	0.940669i	$0.610199\pi$
$180$	8.06257	−	10.7236i	0.600949	−	0.799288i
$181$		−	9.18224i		−	0.682510i	−0.939971	−	0.341255i	$-0.889148\pi$
$181$		−	9.18224i		−	0.682510i	0.939971	−	0.341255i	$-0.110852\pi$
$182$	−9.50140	+	18.6320i	−0.704291	+	1.38109i
$183$	−18.4840	+	4.81529i	−1.36638	+	0.355956i
$184$	4.54023	−	11.7920i	0.334710	−	0.869316i
$185$	6.33187	+	5.72176i	0.465529	+	0.420672i
$186$	6.79999	−	2.15477i	0.498599	−	0.157995i
$187$	0.113248	+	0.196151i	0.00828152	+	0.0143440i
$188$	11.9155	+	5.31477i	0.869028	+	0.387620i
$189$	11.1181	+	3.22909i	0.808721	+	0.234881i
$190$	8.13414	−	3.10259i	0.590113	−	0.225086i
$191$	0.980709	+	1.69864i	0.0709616	+	0.122909i	0.899323	−	0.437285i	$-0.144060\pi$
$191$	0.980709	+	1.69864i	0.0709616	+	0.122909i	−0.828361	+	0.560194i	$0.810727\pi$
$192$	−13.8434	+	0.600910i	−0.999059	+	0.0433670i
$193$	−10.0893	−	5.82507i	−0.726245	−	0.419298i	0.0908016	−	0.995869i	$-0.471057\pi$
$193$	−10.0893	−	5.82507i	−0.726245	−	0.419298i	−0.817047	+	0.576571i	$0.804390\pi$
$194$	19.4884	−	1.01474i	1.39918	−	0.0728544i
$195$	−25.6825	+	1.12097i	−1.83916	+	0.0802746i
$196$	−4.04919	+	0.422822i	−0.289228	+	0.0302016i
$197$	−4.51871			−0.321945			−0.160972	−	0.986959i	$-0.551463\pi$
$197$	−4.51871			−0.321945			−0.160972	+	0.986959i	$0.551463\pi$
$198$	9.03855	+	4.76874i	0.642342	+	0.338900i
$199$	14.2353			1.00911			0.504556	−	0.863379i	$-0.331656\pi$
$199$	14.2353			1.00911			0.504556	+	0.863379i	$0.331656\pi$
$200$	13.6769	−	3.59756i	0.967103	−	0.254386i
$201$	0.0160348	−	0.0158134i	0.00113101	−	0.00111539i
$202$	17.5699	−	0.914852i	1.23622	−	0.0643687i
$203$	6.85992	−	11.8817i	0.481472	−	0.833934i
$204$	0.304980	−	0.114409i	0.0213529	−	0.00801024i
$205$	−11.3634	+	3.66975i	−0.793652	+	0.256306i
$206$	3.33003	+	5.13159i	0.232014	+	0.357535i
$207$	6.53911	+	11.6988i	0.454500	+	0.813124i
$208$	17.7388	+	19.7545i	1.22996	+	1.36973i
$209$	3.31563	+	5.74284i	0.229347	+	0.397241i
$210$	7.08327	+	9.93776i	0.488792	+	0.685771i
$211$	−19.1760	−	11.0713i	−1.32013	−	0.762177i	−0.336380	−	0.941726i	$-0.609203\pi$
$211$	−19.1760	−	11.0713i	−1.32013	−	0.762177i	−0.983749	+	0.179549i	$0.942536\pi$
$212$	−14.5739	−	20.0877i	−1.00094	−	1.37963i
$213$	−14.9352	−	4.11339i	−1.02334	−	0.281845i
$214$	13.5736	+	6.92186i	0.927871	+	0.473168i
$215$	−1.64917	+	7.69114i	−0.112473	+	0.524531i
$216$	8.89663	−	11.6983i	0.605339	−	0.795968i
$217$			6.48849i			0.440467i
$218$	9.87211	−	19.3589i	0.668624	−	1.31115i
$219$	0.754345	−	2.73893i	0.0509739	−	0.185080i
$220$	4.35720	+	9.85165i	0.293763	+	0.664198i
$221$	−0.540514	−	0.312066i	−0.0363589	−	0.0209918i
$222$	6.90162	+	6.30596i	0.463206	+	0.423228i
$223$	−0.164499	+	0.0949738i	−0.0110157	+	0.00635991i	−0.505498	−	0.862828i	$-0.668691\pi$
$223$	−0.164499	+	0.0949738i	−0.0110157	+	0.00635991i	0.494482	+	0.869188i	$0.335358\pi$
$224$	3.28270	−	12.1690i	0.219335	−	0.813076i
$225$	−6.33964	+	13.5944i	−0.422643	+	0.906296i
$226$	−2.92954	−	4.51443i	−0.194870	−	0.300295i
$227$	−5.72411	−	9.91446i	−0.379923	−	0.658045i	0.611128	−	0.791532i	$-0.290716\pi$
$227$	−5.72411	−	9.91446i	−0.379923	−	0.658045i	−0.991051	+	0.133486i	$0.957383\pi$
$228$	8.92908	−	3.34962i	0.591343	−	0.221834i
$229$	12.3807	+	7.14797i	0.818137	+	0.472351i	0.849773	−	0.527148i	$-0.176739\pi$
$229$	12.3807	+	7.14797i	0.818137	+	0.472351i	−0.0316369	+	0.999499i	$0.510072\pi$
$230$	−2.23964	+	13.9486i	−0.147677	+	0.919746i
$231$	−6.61862	+	6.52721i	−0.435473	+	0.429459i
$232$	−10.9468	−	13.5463i	−0.718695	−	0.889355i
$233$		−	16.8080i		−	1.10113i	−0.834793	−	0.550564i	$-0.814413\pi$
$233$		−	16.8080i		−	1.10113i	0.834793	−	0.550564i	$-0.185587\pi$
$234$	−28.1401	+	1.07310i	−1.83958	+	0.0701507i
$235$	−14.2629	−	3.05832i	−0.930407	−	0.199503i
$236$	2.19297	+	21.0011i	0.142750	+	1.36706i
$237$	2.99879	+	11.5112i	0.194792	+	0.747733i
$238$	0.0154068	+	0.295891i	0.000998674	+	0.0191798i
$239$	5.95713	−	10.3181i	0.385335	−	0.667420i	−0.606481	−	0.795098i	$-0.707419\pi$
$239$	5.95713	−	10.3181i	0.385335	−	0.667420i	0.991816	+	0.127679i	$0.0407526\pi$
$240$	15.0038	−	3.85841i	0.968488	−	0.249059i
$241$	−6.09161	−	10.5510i	−0.392395	−	0.679649i	0.600370	−	0.799723i	$-0.295020\pi$
$241$	−6.09161	−	10.5510i	−0.392395	−	0.679649i	−0.992765	+	0.120074i	$0.961687\pi$
$242$	6.16647	−	4.00159i	0.396396	−	0.257232i
$243$	3.50877	+	15.1884i	0.225088	+	0.974338i
$244$	−20.1430	−	8.98455i	−1.28952	−	0.575177i
$245$	4.33147	−	1.39883i	0.276728	−	0.0893679i
$246$	−12.4699	+	3.95143i	−0.795051	+	0.251934i
$247$	−15.8250	−	9.13654i	−1.00692	−	0.581344i
$248$	7.68666	+	2.95957i	0.488104	+	0.187933i
$249$	7.46760	+	28.6653i	0.473240	+	1.81659i
$250$	−14.1287	+	7.09782i	−0.893579	+	0.448906i
$251$			15.0295i			0.948655i	0.880348	+	0.474328i	$0.157309\pi$
$251$			15.0295i			0.948655i	−0.880348	+	0.474328i	$0.842691\pi$
$252$	7.69930	+	10.9288i	0.485010	+	0.688451i
$253$	−10.7609			−0.676532
$254$	−2.44612	+	4.79677i	−0.153483	+	0.300976i
$255$	−0.307150	+	0.195670i	−0.0192345	+	0.0122533i
$256$	−12.9188	−	9.43950i	−0.807426	−	0.589969i
$257$	7.36128	+	4.25004i	0.459184	+	0.265110i	0.711701	−	0.702482i	$-0.247925\pi$
$257$	7.36128	+	4.25004i	0.459184	+	0.265110i	−0.252517	+	0.967592i	$0.581258\pi$
$258$	−1.85292	+	8.41515i	−0.115358	+	0.523904i
$259$	−7.36440	+	4.25184i	−0.457602	+	0.264197i
$260$	−23.9717	−	17.5068i	−1.48666	−	1.08573i
$261$	18.4712	+	0.256887i	1.14334	+	0.0159009i
$262$	−4.53732	−	6.99203i	−0.280317	−	0.431969i
$263$	4.27476	−	2.46803i	0.263593	−	0.152185i	−0.362380	−	0.932031i	$-0.618036\pi$
$263$	4.27476	−	2.46803i	0.263593	−	0.152185i	0.625972	+	0.779845i	$0.284702\pi$
$264$	4.71361	+	10.8181i	0.290102	+	0.665805i
$265$	20.5868	+	18.6031i	1.26463	+	1.14278i
$266$	0.451074	+	8.66298i	0.0276571	+	0.531161i
$267$	−0.109294	−	0.0301012i	−0.00668867	−	0.00184217i
$268$	0.0258640	−	0.00270075i	0.00157989	−	0.000164975i
$269$		−	9.22809i		−	0.562647i	−0.959613	−	0.281323i	$-0.909227\pi$
$269$		−	9.22809i		−	0.562647i	0.959613	−	0.281323i	$-0.0907733\pi$
$270$	−7.02659	+	14.8535i	−0.427625	+	0.903956i
$271$	21.8923			1.32986			0.664930	−	0.746906i	$-0.268461\pi$
$271$	21.8923			1.32986			0.664930	+	0.746906i	$0.268461\pi$
$272$	0.357558	+	0.116712i	0.0216801	+	0.00707669i
$273$	6.80160	−	24.6957i	0.411651	−	1.49465i
$274$	−14.9532	+	0.778600i	−0.903354	+	0.0470369i
$275$	−7.04423	−	9.76878i	−0.424783	−	0.589080i
$276$	−2.53746	+	15.2662i	−0.152737	+	0.918919i
$277$	13.1621	+	22.7974i	0.790835	+	1.36977i	0.925451	+	0.378868i	$0.123687\pi$
$277$	13.1621	+	22.7974i	0.790835	+	1.36977i	−0.134616	+	0.990898i	$0.542980\pi$
$278$	−13.4335	−	20.7011i	−0.805689	−	1.24157i
$279$	−7.62594	+	4.26255i	−0.456553	+	0.255192i
$280$	−0.776901	+	14.0703i	−0.0464287	+	0.840859i
$281$	1.31609	+	2.27953i	0.0785112	+	0.135985i	0.902608	−	0.430464i	$-0.141650\pi$
$281$	1.31609	+	2.27953i	0.0785112	+	0.135985i	−0.824097	+	0.566449i	$0.808317\pi$
$282$	−15.6055	−	3.43616i	−0.929295	−	0.204620i
$283$	7.43284	−	12.8741i	0.441837	−	0.765283i	−0.555989	−	0.831189i	$-0.687660\pi$
$283$	7.43284	−	12.8741i	0.441837	−	0.765283i	0.997826	+	0.0659061i	$0.0209938\pi$
$284$	−10.5044	−	14.4786i	−0.623323	−	0.859149i
$285$	−8.99260	+	5.72875i	−0.532676	+	0.339342i
$286$	10.2717	−	20.1426i	0.607380	−	1.19106i
$287$		−	11.8987i		−	0.702355i
$288$	16.4588	−	4.13614i	0.969844	−	0.243725i
$289$	16.9912			0.999480
$290$	15.1067	+	12.2864i	0.887096	+	0.721482i
$291$	−23.1287	+	6.02527i	−1.35583	+	0.353207i
$292$	2.65520	−	1.92638i	0.155384	−	0.112733i
$293$	−6.57391	+	11.3864i	−0.384052	+	0.665198i	−0.991637	−	0.129057i	$-0.958805\pi$
$293$	−6.57391	+	11.3864i	−0.384052	+	0.665198i	0.607585	+	0.794255i	$0.292138\pi$
$294$	4.75325	−	1.50620i	0.277215	−	0.0878434i
$295$	−7.25503	−	22.4652i	−0.422404	−	1.30798i
$296$	1.67789	+	10.6637i	0.0975255	+	0.619815i
$297$	−12.0195	−	3.49089i	−0.697441	−	0.202562i
$298$	11.1306	+	17.1523i	0.644780	+	0.993609i
$299$	25.6800	−	14.8263i	1.48511	−	0.857429i
$300$	−15.5198	+	7.68997i	−0.896036	+	0.443981i
$301$	−6.78783	−	3.91895i	−0.391244	−	0.225885i
$302$	0.536864	+	10.3106i	0.0308930	+	0.593307i
$303$	−20.8519	+	5.43213i	−1.19791	+	0.312068i
$304$	10.4684	+	3.41704i	0.600407	+	0.195981i
$305$	24.1112	+	5.17004i	1.38060	+	0.296036i
$306$	−0.337640	+	0.212491i	−0.0193016	+	0.0121473i
$307$	−9.49949			−0.542165			−0.271082	−	0.962556i	$-0.587382\pi$
$307$	−9.49949			−0.542165			−0.271082	+	0.962556i	$0.587382\pi$
$308$	−10.6757	+	1.11478i	−0.608306	+	0.0635202i
$309$	−5.26084	−	5.33452i	−0.299279	−	0.303470i
$310$	−9.09249	−	1.45992i	−0.516419	−	0.0829178i
$311$	−13.0082	+	22.5308i	−0.737626	+	1.27761i	0.215936	+	0.976407i	$0.430720\pi$
$311$	−13.0082	+	22.5308i	−0.737626	+	1.27761i	−0.953562	+	0.301198i	$0.902614\pi$
$312$	−26.1537	−	19.3220i	−1.48066	−	1.09389i
$313$	26.8929	−	15.5266i	1.52007	−	0.877615i	0.520354	−	0.853951i	$-0.325800\pi$
$313$	26.8929	−	15.5266i	1.52007	−	0.877615i	0.999720	−	0.0236647i	$-0.00753343\pi$
$314$	−9.50566	+	6.16848i	−0.536435	+	0.348108i
$315$	−10.9491	−	10.1742i	−0.616912	−	0.573253i
$316$	−5.59525	+	12.5443i	−0.314758	+	0.705674i
$317$	−0.921009	−	1.59523i	−0.0517290	−	0.0895973i	0.839001	−	0.544129i	$-0.183140\pi$
$317$	−0.921009	−	1.59523i	−0.0517290	−	0.0895973i	−0.890730	+	0.454532i	$0.849807\pi$
$318$	22.4392	+	20.5025i	1.25833	+	1.14972i
$319$	−7.41609	+	12.8450i	−0.415221	+	0.719185i
$320$	16.3141	+	7.33818i	0.911988	+	0.410217i
$321$	−17.9911	−	4.95503i	−1.00416	−	0.276563i
$322$	−12.5405	−	6.39502i	−0.698852	−	0.356380i
$323$	−0.258868			−0.0144038
$324$	−7.78668	+	16.2286i	−0.432594	+	0.901589i
$325$	30.2699	+	13.6068i	1.67907	+	0.754772i
$326$	−14.2502	−	7.26688i	−0.789243	−	0.402475i
$327$	−7.06697	+	25.6593i	−0.390804	+	1.41896i
$328$	−14.0959	−	5.42729i	−0.778315	−	0.299672i
$329$	7.26753	−	12.5877i	0.400672	−	0.693984i
$330$	−7.65755	−	10.7435i	−0.421535	−	0.591409i
$331$	23.9866	−	13.8487i	1.31842	−	0.761192i	0.334948	−	0.942237i	$-0.391281\pi$
$331$	23.9866	−	13.8487i	1.31842	−	0.761192i	0.983475	+	0.181045i	$0.0579478\pi$
$332$	−13.9333	+	31.2380i	−0.764692	+	1.71441i
$333$	−9.83518	−	5.86220i	−0.538965	−	0.321246i
$334$	7.32034	+	11.2807i	0.400551	+	0.617251i
$335$	−0.0276671	+	0.00893494i	−0.00151161	+	0.000488168i
$336$	−0.935874	+	15.4083i	−0.0510561	+	0.840591i
$337$	−3.80955	−	2.19945i	−0.207519	−	0.119811i	0.392639	−	0.919693i	$-0.371562\pi$
$337$	−3.80955	−	2.19945i	−0.207519	−	0.119811i	−0.600158	+	0.799881i	$0.704896\pi$
$338$	2.28381	+	43.8611i	0.124223	+	2.38573i
$339$	4.62814	+	4.69295i	0.251366	+	0.254886i
$340$	−0.418107	−	0.0449859i	−0.0226750	−	0.00243970i
$341$		−	7.01455i		−	0.379859i
$342$	−9.88530	+	6.22122i	−0.534536	+	0.336405i
$343$			20.1322i			1.08703i
$344$	−7.73874	+	6.25374i	−0.417245	+	0.337179i
$345$	−0.754483	−	17.2859i	−0.0406200	−	0.930640i
$346$	−0.222604	−	4.27516i	−0.0119673	−	0.229834i
$347$	6.93065	−	12.0042i	0.372057	−	0.644421i	−0.617825	−	0.786316i	$-0.711986\pi$
$347$	6.93065	−	12.0042i	0.372057	−	0.644421i	0.989882	+	0.141894i	$0.0453193\pi$
$348$	16.4742	+	13.5500i	0.883111	+	0.726354i
$349$	13.7229	−	7.92291i	0.734569	−	0.424104i	−0.0855224	−	0.996336i	$-0.527256\pi$
$349$	13.7229	−	7.92291i	0.734569	−	0.424104i	0.820091	+	0.572233i	$0.193923\pi$
$350$	−2.40374	−	15.5705i	−0.128485	−	0.832281i
$351$	33.4932	−	8.22972i	1.78774	−	0.439270i
$352$	−3.54885	+	13.1556i	−0.189154	+	0.701196i
$353$	−14.0964	+	8.13857i	−0.750277	+	0.433173i	−0.825794	−	0.563972i	$-0.809273\pi$
$353$	−14.0964	+	8.13857i	−0.750277	+	0.433173i	0.0755170	+	0.997145i	$0.475939\pi$
$354$	−7.81192	−	24.6528i	−0.415199	−	1.31028i
$355$	14.8384	+	13.4086i	0.787538	+	0.711655i
$356$	−0.0768699	−	0.105953i	−0.00407410	−	0.00561548i
$357$	−0.0914812	−	0.351161i	−0.00484170	−	0.0185854i
$358$	16.1712	−	31.7113i	0.854675	−	1.67600i
$359$	20.6390			1.08928			0.544642	−	0.838669i	$-0.316666\pi$
$359$	20.6390			1.08928			0.544642	+	0.838669i	$0.316666\pi$
$360$	−17.0472	+	8.33024i	−0.898466	+	0.439042i
$361$	11.4210			0.601103
$362$	−5.89927	+	11.5683i	−0.310059	+	0.608016i
$363$	−6.41032	+	6.32179i	−0.336454	+	0.331808i
$364$	23.9408	−	17.3693i	1.25484	−	0.910400i
$365$	−2.45897	+	2.72117i	−0.128708	+	0.142433i
$366$	26.3809	+	5.80878i	1.37895	+	0.303630i
$367$	−26.3013	+	15.1851i	−1.37292	+	0.792654i	−0.991294	−	0.131664i	$-0.957968\pi$
$367$	−26.3013	+	15.1851i	−1.37292	+	0.792654i	−0.381623	+	0.924318i	$0.624635\pi$
$368$	−13.2960	+	11.9393i	−0.693100	+	0.622377i
$369$	13.9845	−	7.81672i	0.728005	−	0.406922i
$370$	−4.30122	−	11.2766i	−0.223610	−	0.586243i
$371$	−23.9438	+	13.8240i	−1.24310	+	0.717705i
$372$	−9.95137	−	1.65406i	−0.515955	−	0.0857589i
$373$	−15.0129	+	26.0032i	−0.777340	+	1.34639i	0.156130	+	0.987737i	$0.450098\pi$
$373$	−15.0129	+	26.0032i	−0.777340	+	1.34639i	−0.933470	+	0.358656i	$0.883235\pi$
$374$	−0.0166559	−	0.319880i	−0.000861257	−	0.0165406i
$375$	15.1983	−	12.0005i	0.784836	−	0.619703i
$376$	−11.5973	−	14.3512i	−0.598084	−	0.740104i
$377$		−	40.8715i		−	2.10499i
$378$	−11.9326	−	11.2112i	−0.613747	−	0.576640i
$379$		−	18.4042i		−	0.945358i	−0.881235	−	0.472679i	$-0.843287\pi$
$379$		−	18.4042i		−	0.945358i	0.881235	−	0.472679i	$-0.156713\pi$
$380$	−12.2412	−	1.31708i	−0.627958	−	0.0675648i
$381$	1.75106	−	6.35787i	0.0897094	−	0.325723i
$382$	−0.144237	−	2.77011i	−0.00737983	−	0.141731i
$383$	−23.8708	−	13.7818i	−1.21974	−	0.704217i	−0.254878	−	0.966973i	$-0.582035\pi$
$383$	−23.8708	−	13.7818i	−1.21974	−	0.704217i	−0.964862	+	0.262756i	$0.915369\pi$
$384$	17.8267	+	8.13682i	0.909716	+	0.415230i
$385$	11.4200	−	3.68803i	0.582016	−	0.187959i
$386$	8.96870	+	13.8208i	0.456495	+	0.703460i
$387$	0.146755	−	10.5523i	0.00745997	−	0.536402i
$388$	−25.2045	−	11.2422i	−1.27957	−	0.570735i
$389$	8.13910	−	4.69911i	0.412669	−	0.238254i	−0.279267	−	0.960213i	$-0.590092\pi$
$389$	8.13910	−	4.69911i	0.412669	−	0.238254i	0.691936	+	0.721959i	$0.256758\pi$
$390$	33.0764	+	15.0878i	1.67489	+	0.764002i
$391$	0.210039	−	0.363798i	0.0106221	−	0.0183981i
$392$	5.37305	+	2.06877i	0.271380	+	0.104488i
$393$	7.16814	+	7.26853i	0.361585	+	0.366649i
$394$	5.69293	+	2.90312i	0.286806	+	0.146257i
$395$	3.21971	−	15.0156i	0.162001	−	0.755515i
$396$	−8.32353	−	11.8149i	−0.418273	−	0.593720i
$397$	2.56274			0.128620			0.0643101	−	0.997930i	$-0.479515\pi$
$397$	2.56274			0.128620			0.0643101	+	0.997930i	$0.479515\pi$
$398$	−17.9344	−	9.14566i	−0.898970	−	0.458431i
$399$	−2.67835	−	10.2812i	−0.134085	−	0.514702i
$400$	−19.5422	−	4.25452i	−0.977112	−	0.212726i
$401$	4.44945	−	7.70668i	0.222195	−	0.384853i	−0.733279	−	0.679928i	$-0.762011\pi$
$401$	4.44945	−	7.70668i	0.222195	−	0.384853i	0.955474	+	0.295075i	$0.0953445\pi$
$402$	−0.0303612	+	0.00962078i	−0.00151428	+	0.000479841i
$403$	9.66463	+	16.7396i	0.481429	+	0.833860i
$404$	−22.7234	−	10.1355i	−1.13053	−	0.504259i
$405$	4.76489	−	19.5524i	0.236770	−	0.971566i
$406$	−16.2761	+	10.5620i	−0.807770	+	0.524184i
$407$	7.96148	−	4.59656i	0.394636	−	0.227843i
$408$	−0.457735	−	0.0517997i	−0.0226612	−	0.00256447i
$409$	0.527785	−	0.914150i	0.0260973	−	0.0452018i	−0.852682	−	0.522431i	$-0.825025\pi$
$409$	0.527785	−	0.914150i	0.0260973	−	0.0452018i	0.878779	+	0.477229i	$0.158359\pi$
$410$	16.6739	+	2.67721i	0.823465	+	0.132218i
$411$	17.7463	−	4.62311i	0.875362	−	0.228041i
$412$	−0.898494	−	8.60450i	−0.0442656	−	0.423913i
$413$	23.5235			1.15751
$414$	−0.722260	−	18.9400i	−0.0354972	−	0.930850i
$415$	8.01776	−	37.3919i	0.393576	−	1.83550i
$416$	−9.65673	−	36.2844i	−0.473460	−	1.77899i
$417$	21.2225	+	21.5197i	1.03927	+	1.05383i
$418$	−0.487645	−	9.36534i	−0.0238515	−	0.458074i
$419$	−9.13244	−	5.27262i	−0.446149	−	0.257584i	0.260053	−	0.965594i	$-0.416260\pi$
$419$	−9.13244	−	5.27262i	−0.446149	−	0.257584i	−0.706202	+	0.708010i	$0.749593\pi$
$420$	−2.53924	−	17.0709i	−0.123902	−	0.832975i
$421$	−18.5422	+	10.7054i	−0.903694	+	0.521748i	−0.878397	−	0.477932i	$-0.841387\pi$
$421$	−18.5422	+	10.7054i	−0.903694	+	0.521748i	−0.0252971	+	0.999680i	$0.508053\pi$
$422$	17.0461	+	26.2681i	0.829791	+	1.27871i
$423$	19.5687	+	0.272150i	0.951464	+	0.0132324i
$424$	5.45532	+	34.6708i	0.264934	+	1.68376i
$425$	0.467752	−	0.0474732i	0.0226893	−	0.00230279i
$426$	16.1735	+	14.7776i	0.783609	+	0.715979i
$427$	−12.2856	+	21.2794i	−0.594544	+	1.02978i
$428$	−12.6537	−	17.4411i	−0.611640	−	0.843047i
$429$	−7.35304	+	26.6980i	−0.355008	+	1.28899i
$430$	7.01901	−	8.63020i	0.338487	−	0.416185i
$431$	2.02248			0.0974196			0.0487098	−	0.998813i	$-0.484489\pi$
$431$	2.02248			0.0974196			0.0487098	+	0.998813i	$0.484489\pi$
$432$	−18.7242	+	9.02240i	−0.900869	+	0.434090i
$433$		−	5.01463i		−	0.240988i	−0.992714	−	0.120494i	$-0.961552\pi$
$433$		−	5.01463i		−	0.240988i	0.992714	−	0.120494i	$-0.0384478\pi$
$434$	4.16863	−	8.17456i	0.200100	−	0.392392i
$435$	−21.1537	−	11.0123i	−1.01424	−	0.528000i
$436$	−24.8749	+	18.0470i	−1.19129	+	0.864295i
$437$	6.14944	−	10.6512i	0.294168	−	0.509514i
$438$	−2.71003	+	2.96602i	−0.129490	+	0.141722i
$439$	9.77839	+	16.9367i	0.466697	+	0.808343i	0.999276	−	0.0380368i	$-0.0121104\pi$
$439$	9.77839	+	16.9367i	0.466697	+	0.808343i	−0.532579	+	0.846380i	$0.678777\pi$
$440$	0.839889	−	15.2110i	0.0400401	−	0.725157i
$441$	−5.33060	+	2.97956i	−0.253838	+	0.141884i
$442$	0.480479	+	0.740419i	0.0228540	+	0.0352182i
$443$	0.250234	+	0.433418i	0.0118890	+	0.0205923i	0.871909	−	0.489669i	$-0.162882\pi$
$443$	0.250234	+	0.433418i	0.0118890	+	0.0205923i	−0.860020	+	0.510261i	$0.829549\pi$
$444$	−4.64369	−	12.3787i	−0.220380	−	0.587465i
$445$	0.108585	+	0.0981223i	0.00514743	+	0.00465144i
$446$	0.268263	−	0.0139682i	0.0127026	−	0.000661415i
$447$	−17.5844	−	17.8306i	−0.831712	−	0.843359i
$448$	−11.9539	+	13.2222i	−0.564768	+	0.624689i
$449$	−40.1994			−1.89713			−0.948564	−	0.316587i	$-0.897463\pi$
$449$	−40.1994			−1.89713			−0.948564	+	0.316587i	$0.897463\pi$
$450$	16.7210	−	13.0541i	0.788235	−	0.615374i
$451$			12.8633i			0.605711i
$452$	0.790435	+	7.56966i	0.0371789	+	0.356047i
$453$	−3.18775	−	12.2365i	−0.149773	−	0.574923i
$454$	0.841872	+	16.1683i	0.0395110	+	0.758818i
$455$	−22.1715	+	24.5356i	−1.03941	+	1.15025i
$456$	−13.4014	−	1.51657i	−0.627577	−	0.0710200i
$457$	−27.3530	+	15.7923i	−1.27952	+	0.738731i	−0.976760	−	0.214337i	$-0.931241\pi$
$457$	−27.3530	+	15.7923i	−1.27952	+	0.738731i	−0.302759	+	0.953067i	$0.597908\pi$
$458$	−11.0055	−	16.9596i	−0.514254	−	0.792468i
$459$	0.352623	−	0.338211i	0.0164590	−	0.0157863i
$460$	11.7831	−	16.1344i	0.549391	−	0.752270i
$461$	−13.4707	+	7.77732i	−0.627394	+	0.362226i	−0.779742	−	0.626101i	$-0.784650\pi$
$461$	−13.4707	+	7.77732i	−0.627394	+	0.362226i	0.152348	+	0.988327i	$0.451317\pi$
$462$	12.5320	−	3.97112i	0.583042	−	0.184753i
$463$	23.7746	+	13.7263i	1.10490	+	0.637914i	0.937503	−	0.347976i	$-0.113131\pi$
$463$	23.7746	+	13.7263i	1.10490	+	0.637914i	0.167396	+	0.985890i	$0.446464\pi$
$464$	5.08845	+	24.0993i	0.236225	+	1.11878i
$465$	11.2679	−	0.491814i	0.522536	−	0.0228073i
$466$	−10.7985	+	21.1756i	−0.500233	+	0.980943i
$467$	3.62843			0.167904			0.0839518	−	0.996470i	$-0.473246\pi$
$467$	3.62843			0.167904			0.0839518	+	0.996470i	$0.473246\pi$
$468$	36.1419	+	16.7271i	1.67066	+	0.773209i
$469$		−	0.0289703i		−	0.00133773i
$470$	16.0043	+	13.0164i	0.738224	+	0.600403i
$471$	9.88155	−	9.74508i	0.455318	−	0.449030i
$472$	10.7297	−	27.8673i	0.493873	−	1.28270i
$473$	7.33815	+	4.23669i	0.337409	+	0.194803i
$474$	3.61750	−	16.4291i	0.166157	−	0.754612i
$475$	13.6947	−	1.38990i	0.628355	−	0.0637731i
$476$	0.170689	−	0.382678i	0.00782353	−	0.0175400i
$477$	−31.9770	−	19.0597i	−1.46413	−	0.872684i
$478$	−14.1341	+	9.17202i	−0.646480	+	0.419519i
$479$	0.537141	+	0.930355i	0.0245426	+	0.0425090i	0.878036	−	0.478595i	$-0.158854\pi$
$479$	0.537141	+	0.930355i	0.0245426	+	0.0425090i	−0.853493	+	0.521104i	$0.825520\pi$
$480$	−21.3815	−	4.77835i	−0.975926	−	0.218101i
$481$	−12.6663	+	21.9386i	−0.577532	+	1.00031i
$482$	0.895922	+	17.2064i	0.0408081	+	0.783729i
$483$	16.6217	+	4.57789i	0.756315	+	0.208301i
$484$	−10.3398	+	1.07969i	−0.469989	+	0.0490769i
$485$	30.1698	+	6.46916i	1.36994	+	0.293749i
$486$	5.33749	−	21.3895i	0.242113	−	0.970248i
$487$			1.38731i			0.0628652i	0.999506	+	0.0314326i	$0.0100070\pi$
$487$			1.38731i			0.0628652i	−0.999506	+	0.0314326i	$0.989993\pi$
$488$	19.6050	+	24.2604i	0.887478	+	1.09822i
$489$	18.8879	+	5.20201i	0.854138	+	0.235243i
$490$	−6.35573	−	1.02050i	−0.287123	−	0.0461013i
$491$	14.1678	+	8.17981i	0.639386	+	0.369150i	0.784378	−	0.620283i	$-0.212982\pi$
$491$	14.1678	+	8.17981i	0.639386	+	0.369150i	−0.144992	+	0.989433i	$0.546316\pi$
$492$	18.2489	+	3.03323i	0.822725	+	0.136748i
$493$	−0.289506	−	0.501439i	−0.0130387	−	0.0225837i
$494$	14.0673	+	21.6777i	0.632916	+	0.975326i
$495$	11.8368	+	10.9991i	0.532025	+	0.494374i
$496$	−7.78267	−	8.66705i	−0.349452	−	0.389162i
$497$	−17.2580	+	9.96393i	−0.774128	+	0.446943i
$498$	9.00833	−	40.9118i	0.403673	−	1.83330i
$499$	−30.5471	−	17.6364i	−1.36748	−	0.789514i	−0.376873	−	0.926265i	$-0.623001\pi$
$499$	−30.5471	−	17.6364i	−1.36748	−	0.789514i	−0.990605	+	0.136751i	$0.956334\pi$
$500$	22.3603	+	0.134971i	0.999982	+	0.00603607i
$501$	−11.5648	−	11.7268i	−0.516677	−	0.523913i
$502$	9.65594	−	18.9350i	0.430966	−	0.845113i
$503$			27.5693i			1.22925i	0.788818	+	0.614627i	$0.210693\pi$
$503$			27.5693i			1.22925i	−0.788818	+	0.614627i	$0.789307\pi$
$504$	−2.67863	−	18.7153i	−0.119316	−	0.833645i
$505$	27.1999	+	5.83233i	1.21038	+	0.259535i
$506$	13.5572	+	6.91350i	0.602690	+	0.307342i
$507$	−13.5606	−	52.0540i	−0.602248	−	2.31180i
$508$	6.16351	−	4.47170i	0.273462	−	0.198399i
$509$	−16.5487	−	9.55440i	−0.733509	−	0.423491i	0.0861958	−	0.996278i	$-0.472529\pi$
$509$	−16.5487	−	9.55440i	−0.733509	−	0.423491i	−0.819704	+	0.572787i	$0.805862\pi$
$510$	0.512676	−	0.0491833i	0.0227017	−	0.00217787i
$511$	−1.82726	−	3.16491i	−0.0808333	−	0.140007i
$512$	10.2113	+	20.1923i	0.451281	+	0.892382i
$513$	10.3240	−	9.90200i	0.455814	−	0.437184i
$514$	−6.54366	−	10.0838i	−0.288628	−	0.444777i
$515$	2.97250	+	9.20435i	0.130984	+	0.405592i
$516$	7.74085	−	9.41144i	0.340772	−	0.414316i
$517$	−7.85675	+	13.6083i	−0.345539	+	0.598492i
$518$	12.0098	−	0.625338i	0.527678	−	0.0274758i
$519$	1.32176	+	5.07374i	0.0580189	+	0.222712i
$520$	18.9534	+	37.4570i	0.831161	+	1.64260i
$521$	−30.3979			−1.33176			−0.665878	−	0.746061i	$-0.731943\pi$
$521$	−30.3979			−1.33176			−0.665878	+	0.746061i	$0.731943\pi$
$522$	−23.1060	−	12.1907i	−1.01132	−	0.533574i
$523$	−5.18904			−0.226901			−0.113450	−	0.993544i	$-0.536190\pi$
$523$	−5.18904			−0.226901			−0.113450	+	0.993544i	$0.536190\pi$
$524$	1.22424	+	11.7240i	0.0534812	+	0.512167i
$525$	6.72500	+	18.0860i	0.293503	+	0.789339i
$526$	−6.97121	+	0.362985i	−0.303959	+	0.0158269i
$527$	0.237144	+	0.136915i	0.0103302	+	0.00596412i
$528$	1.01175	−	16.6575i	0.0440308	−	0.724926i
$529$	−1.52098	−	2.63441i	−0.0661295	−	0.114540i
$530$	−13.9845	−	36.6635i	−0.607449	−	1.59256i
$531$	15.4535	+	27.6472i	0.670626	+	1.19979i
$532$	4.99737	−	11.2039i	0.216664	−	0.485751i
$533$	−17.7231	−	30.6973i	−0.767672	−	1.32965i
$534$	0.118356	+	0.108141i	0.00512175	+	0.00467971i
$535$	17.8744	+	16.1521i	0.772778	+	0.698317i
$536$	−0.0343200	−	0.0132141i	−0.00148240	−	0.000570764i
$537$	−11.5762	+	42.0317i	−0.499550	+	1.81380i
$538$	−5.92872	+	11.6261i	−0.255605	+	0.501235i
$539$		−	4.90323i		−	0.211197i
$540$	18.3954	−	14.1990i	0.791610	−	0.611026i
$541$		−	19.7061i		−	0.847231i	−0.905842	−	0.423616i	$-0.860761\pi$
$541$		−	19.7061i		−	0.847231i	0.905842	−	0.423616i	$-0.139239\pi$
$542$	−27.5811	−	14.0650i	−1.18471	−	0.604144i
$543$	4.22300	−	15.3332i	0.181226	−	0.658010i
$544$	−0.375489	−	0.376759i	−0.0160989	−	0.0161534i
$545$	23.0365	−	25.4929i	0.986776	−	1.09200i
$546$	−24.4352	+	26.7433i	−1.04573	+	1.14451i
$547$	3.51109	+	6.08139i	0.150123	+	0.260021i	0.931273	−	0.364323i	$-0.118700\pi$
$547$	3.51109	+	6.08139i	0.150123	+	0.260021i	−0.781149	+	0.624344i	$0.785366\pi$
$548$	19.3391	+	8.62597i	0.826124	+	0.368483i
$549$	−33.0806	−	0.460066i	−1.41185	−	0.0196351i
$550$	2.59862	+	16.8329i	0.110806	+	0.717759i
$551$	−8.47603	−	14.6809i	−0.361091	−	0.625428i
$552$	13.0049	−	17.6030i	0.553523	−	0.749235i
$553$	13.2520	+	7.65106i	0.563533	+	0.325356i
$554$	−1.93581	−	37.1777i	−0.0822448	−	1.57953i
$555$	7.94194	+	12.4667i	0.337117	+	0.529183i
$556$	3.62457	+	34.7110i	0.153716	+	1.47207i
$557$	16.3777			0.693944			0.346972	−	0.937876i	$-0.387210\pi$
$557$	16.3777			0.693944			0.346972	+	0.937876i	$0.387210\pi$
$558$	12.3461	−	0.470809i	0.522653	−	0.0199309i
$559$	−23.3492			−0.987565
$560$	10.0184	−	17.2274i	0.423356	−	0.727990i
$561$	0.0988981	+	0.379632i	0.00417548	+	0.0160281i
$562$	−0.193563	−	3.71742i	−0.00816497	−	0.156810i
$563$	15.7387	−	27.2602i	0.663308	−	1.14888i	−0.316434	−	0.948615i	$-0.602485\pi$
$563$	15.7387	−	27.2602i	0.663308	−	1.14888i	0.979741	−	0.200268i	$-0.0641812\pi$
$564$	17.4531	+	14.3551i	0.734908	+	0.604458i
$565$	−2.61501	−	8.09737i	−0.110014	−	0.340659i
$566$	−17.6354	+	11.4441i	−0.741273	+	0.481033i
$567$	17.0807	+	10.5055i	0.717323	+	0.441189i
$568$	3.93204	+	24.9897i	0.164985	+	1.04855i
$569$	3.30149	+	5.71835i	0.138406	+	0.239726i	0.926893	−	0.375325i	$-0.122469\pi$
$569$	3.30149	+	5.71835i	0.138406	+	0.239726i	−0.788488	+	0.615051i	$0.789136\pi$
$570$	15.0099	−	1.43997i	0.628696	−	0.0603137i
$571$	25.3406	+	14.6304i	1.06047	+	0.612264i	0.925563	−	0.378594i	$-0.123592\pi$
$571$	25.3406	+	14.6304i	1.06047	+	0.612264i	0.134910	+	0.990858i	$0.456926\pi$
$572$	−25.8818	+	18.7775i	−1.08217	+	0.785129i
$573$	0.856441	+	3.28755i	0.0357784	+	0.137339i
$574$	−7.64447	+	14.9906i	−0.319074	+	0.625695i
$575$	−9.15823	+	20.3735i	−0.381925	+	0.849632i
$576$	−23.3931	−	5.36326i	−0.974711	−	0.223469i
$577$		−	35.4699i		−	1.47663i	−0.674456	−	0.738315i	$-0.735622\pi$
$577$		−	35.4699i		−	1.47663i	0.674456	−	0.738315i	$-0.264378\pi$
$578$	−21.4064	−	10.9162i	−0.890390	−	0.454055i
$579$	−14.1689	−	14.3673i	−0.588840	−	0.597086i
$580$	−11.1387	−	25.1846i	−0.462509	−	1.04573i
$581$	33.0003	+	19.0527i	1.36908	+	0.790440i
$582$	33.0099	+	7.26841i	1.36830	+	0.301285i
$583$	25.8851	−	14.9448i	1.07205	−	0.618949i
$584$	−4.58281	+	0.721087i	−0.189638	+	0.0298388i
$585$	−43.4021	−	9.93974i	−1.79446	−	0.410958i
$586$	15.5975	−	10.1217i	0.644328	−	0.418122i
$587$	8.49840	+	14.7197i	0.350766	+	0.607545i	0.986384	−	0.164459i	$-0.0525878\pi$
$587$	8.49840	+	14.7197i	0.350766	+	0.607545i	−0.635618	+	0.772004i	$0.719254\pi$
$588$	−6.95610	−	1.15620i	−0.286865	−	0.0476809i
$589$	6.94301	+	4.00855i	0.286082	+	0.165169i
$590$	−5.29281	+	32.9640i	−0.217901	+	1.35711i
$591$	−7.54569	−	2.07820i	−0.310388	−	0.0854858i
$592$	4.73715	−	14.5127i	0.194696	−	0.596469i
$593$			9.45232i			0.388160i	0.980986	+	0.194080i	$0.0621722\pi$
$593$			9.45232i			0.388160i	−0.980986	+	0.194080i	$0.937828\pi$
$594$	12.9001	+	12.1201i	0.529296	+	0.497294i
$595$	−0.0982208	+	0.458066i	−0.00402666	+	0.0187789i
$596$	−3.00322	−	28.7605i	−0.123017	−	1.17808i
$597$	23.7711	+	6.54694i	0.972887	+	0.267948i
$598$	−41.8785	+	2.18058i	−1.71254	+	0.0891705i
$599$	11.1512	−	19.3145i	0.455627	−	0.789169i	−0.543097	−	0.839670i	$-0.682748\pi$
$599$	11.1512	−	19.3145i	0.455627	−	0.789169i	0.998724	+	0.0505007i	$0.0160817\pi$
$600$	24.4933	+	0.282668i	0.999933	+	0.0115399i
$601$	5.77958	+	10.0105i	0.235754	+	0.408338i	0.959492	−	0.281737i	$-0.0909107\pi$
$601$	5.77958	+	10.0105i	0.235754	+	0.408338i	−0.723737	+	0.690075i	$0.757577\pi$
$602$	6.03390	+	9.29826i	0.245923	+	0.378969i
$603$	0.0340489	−	0.0190318i	0.00138658	−	0.000775035i
$604$	5.94782	−	13.3348i	0.242013	−	0.542584i
$605$	11.0606	−	3.57196i	0.449676	−	0.145221i
$606$	29.7603	+	6.55289i	1.20893	+	0.266193i
$607$	−7.11404	−	4.10729i	−0.288750	−	0.166710i	0.348628	−	0.937261i	$-0.386648\pi$
$607$	−7.11404	−	4.10729i	−0.288750	−	0.166710i	−0.637378	+	0.770551i	$0.719981\pi$
$608$	−10.9934	−	11.0306i	−0.445842	−	0.447350i
$609$	16.9197	−	16.6861i	0.685622	−	0.676153i
$610$	−27.0551	−	22.0041i	−1.09543	−	0.890920i
$611$		−	43.3000i		−	1.75173i
$612$	0.561896	−	0.0507857i	0.0227133	−	0.00205289i
$613$	−15.5386			−0.627598			−0.313799	−	0.949489i	$-0.601602\pi$
$613$	−15.5386			−0.627598			−0.313799	+	0.949489i	$0.601602\pi$
$614$	11.9680	+	6.10309i	0.482989	+	0.246301i
$615$	−20.6632	+	0.901893i	−0.833219	+	0.0363678i
$616$	14.1661	+	5.45433i	0.570768	+	0.219761i
$617$	−4.61056	−	2.66191i	−0.185614	−	0.107164i	0.404314	−	0.914620i	$-0.367510\pi$
$617$	−4.61056	−	2.66191i	−0.185614	−	0.107164i	−0.589928	+	0.807456i	$0.700844\pi$
$618$	3.20067	+	10.1006i	0.128750	+	0.406307i
$619$	−31.0080	+	17.9025i	−1.24632	+	0.719562i	−0.970373	−	0.241612i	$-0.922324\pi$
$619$	−31.0080	+	17.9025i	−1.24632	+	0.719562i	−0.275944	+	0.961174i	$0.588991\pi$
$620$	10.5173	+	7.68090i	0.422385	+	0.308472i
$621$	5.53910	+	22.5430i	0.222276	+	0.904618i
$622$	30.8637	−	20.0283i	1.23752	−	0.803062i
$623$	−0.126292	+	0.0729147i	−0.00505978	+	0.00292126i
$624$	20.5362	+	41.1458i	0.822107	+	1.64715i
$625$	−24.4902	+	5.02287i	−0.979609	+	0.200915i
$626$	−43.8564	+	2.28357i	−1.75286	+	0.0912698i
$627$	2.89550	+	11.1147i	0.115635	+	0.443879i
$628$	15.9388	−	1.66435i	0.636027	−	0.0664149i
$629$			0.358876i			0.0143093i
$630$	7.25771	+	19.8525i	0.289154	+	0.790942i
$631$	−19.1046			−0.760544			−0.380272	−	0.924875i	$-0.624170\pi$
$631$	−19.1046			−0.760544			−0.380272	+	0.924875i	$0.624170\pi$
$632$	15.1085	−	12.2093i	0.600984	−	0.485660i
$633$	−26.9297	−	27.3068i	−1.07036	−	1.08535i
$634$	0.135457	+	2.60148i	0.00537969	+	0.103318i
$635$	−5.70800	+	6.31664i	−0.226515	+	0.250668i
$636$	−15.0980	−	40.2466i	−0.598674	−	1.59588i
$637$	6.75566	+	11.7011i	0.267669	+	0.463616i
$638$	17.5957	−	11.4183i	0.696621	−	0.452056i
$639$	−23.0481	−	13.7377i	−0.911771	−	0.543455i
$640$	−15.8389	−	19.7263i	−0.626089	−	0.779751i
$641$	−2.42812	−	4.20562i	−0.0959049	−	0.166112i	0.814081	−	0.580751i	$-0.197241\pi$
$641$	−2.42812	−	4.20562i	−0.0959049	−	0.166112i	−0.909986	+	0.414639i	$0.863908\pi$
$642$	19.4827	+	17.8013i	0.768923	+	0.702560i
$643$	0.0938417	−	0.162539i	0.00370076	−	0.00640990i	−0.864169	−	0.503202i	$-0.832155\pi$
$643$	0.0938417	−	0.162539i	0.00370076	−	0.00640990i	0.867870	+	0.496792i	$0.165489\pi$
$644$	11.6906	+	16.1136i	0.460674	+	0.634965i
$645$	−6.29114	+	12.0848i	−0.247713	+	0.475837i
$646$	0.326136	+	0.166314i	0.0128317	+	0.00654352i
$647$		−	24.4726i		−	0.962117i	−0.876689	−	0.481058i	$-0.840252\pi$
$647$		−	24.4726i		−	0.962117i	0.876689	−	0.481058i	$-0.159748\pi$
$648$	20.2364	−	15.4430i	0.794961	−	0.606660i
$649$	−25.4306			−0.998240
$650$	−29.3938	−	36.5900i	−1.15292	−	1.43518i
$651$	−2.98412	+	10.8350i	−0.116957	+	0.424656i
$652$	13.2844	+	18.3105i	0.520259	+	0.717093i
$653$	4.33851	−	7.51452i	0.169779	−	0.294066i	−0.768563	−	0.639774i	$-0.779028\pi$
$653$	4.33851	−	7.51452i	0.169779	−	0.294066i	0.938342	+	0.345708i	$0.112361\pi$
$654$	25.3886	−	27.7867i	0.992771	−	1.08655i
$655$	−4.05017	−	12.5414i	−0.158253	−	0.490031i
$656$	14.2719	+	15.8937i	0.557226	+	0.620545i
$657$	2.51932	−	4.22674i	0.0982882	−	0.164901i
$658$	−17.2432	+	11.1896i	−0.672210	+	0.436216i
$659$	−13.5781	+	7.83934i	−0.528929	+	0.305377i	−0.740580	−	0.671968i	$-0.765449\pi$
$659$	−13.5781	+	7.83934i	−0.528929	+	0.305377i	0.211651	+	0.977345i	$0.432116\pi$
$660$	2.74511	+	18.4549i	0.106853	+	0.718358i
$661$	15.5850	+	8.99798i	0.606185	+	0.349981i	0.771471	−	0.636265i	$-0.219521\pi$
$661$	15.5850	+	8.99798i	0.606185	+	0.349981i	−0.165286	+	0.986246i	$0.552855\pi$
$662$	−39.1170	+	2.03679i	−1.52032	+	0.0791620i
$663$	−0.759068	−	0.769698i	−0.0294798	−	0.0298926i
$664$	37.6233	−	30.4037i	1.46007	−	1.17989i
$665$	−2.87567	+	13.4111i	−0.111514	+	0.520060i
$666$	8.62466	+	13.7043i	0.334199	+	0.531030i
$667$	27.5090			1.06515
$668$	−1.97514	−	18.9151i	−0.0764205	−	0.731847i
$669$	−0.318373	+	0.0829394i	−0.0123090	+	0.00320662i
$670$	0.0405969	+	0.00651836i	0.00156840	+	0.000251826i
$671$	13.2817	−	23.0046i	0.512735	−	0.888083i
$672$	11.0784	−	18.8110i	0.427357	−	0.725649i
$673$	15.5728	−	8.99095i	0.600287	−	0.346576i	−0.168868	−	0.985639i	$-0.554011\pi$
$673$	15.5728	−	8.99095i	0.600287	−	0.346576i	0.769154	+	0.639063i	$0.220678\pi$
$674$	3.38642	+	5.21849i	0.130440	+	0.201009i
$675$	−16.8386	+	19.7854i	−0.648119	+	0.761539i
$676$	25.3019	−	56.7259i	0.973151	−	2.18177i
$677$	−18.2101	−	31.5409i	−0.699872	−	1.21221i	−0.968511	−	0.248973i	$-0.919907\pi$
$677$	−18.2101	−	31.5409i	−0.699872	−	1.21221i	0.268639	−	0.963241i	$-0.413426\pi$
$678$	−2.81573	−	8.88586i	−0.108138	−	0.341259i
$679$	−15.3728	+	26.6264i	−0.589953	+	1.02183i
$680$	0.497852	+	0.325295i	0.0190918	+	0.0124745i
$681$	−4.99880	−	19.1885i	−0.191554	−	0.735304i
$682$	−4.50660	+	8.83732i	−0.172567	+	0.338399i
$683$	31.2155			1.19443			0.597214	−	0.802082i	$-0.296274\pi$
$683$	31.2155			1.19443			0.597214	+	0.802082i	$0.296274\pi$
$684$	16.4510	−	1.48688i	0.629019	−	0.0568525i
$685$	−23.1489	−	4.96370i	−0.884473	−	0.189653i
$686$	12.9342	−	25.3636i	0.493830	−	0.968388i
$687$	17.3867	+	17.6302i	0.663345	+	0.672634i
$688$	13.7675	−	2.90694i	0.524882	−	0.110826i
$689$	−41.1817	+	71.3288i	−1.56890	+	2.71741i
$690$	−10.1550	+	22.2624i	−0.386595	+	0.847517i
$691$	−23.7806	+	13.7297i	−0.904655	+	0.522303i	−0.878708	−	0.477360i	$-0.841594\pi$
$691$	−23.7806	+	13.7297i	−0.904655	+	0.522303i	−0.0259477	+	0.999663i	$0.508260\pi$
$692$	−2.46619	+	5.52911i	−0.0937506	+	0.210185i
$693$	−14.0542	+	7.85566i	−0.533874	+	0.298412i
$694$	−16.4439	+	10.6709i	−0.624203	+	0.405062i
$695$	−11.9912	−	37.1309i	−0.454853	−	1.40845i
$696$	−12.0498	−	27.6551i	−0.456746	−	1.04826i
$697$	−0.434877	−	0.251076i	−0.0164721	−	0.00951020i
$698$	−22.3791	+	1.16526i	−0.847060	+	0.0441057i
$699$	7.73015	−	28.0672i	0.292381	−	1.06160i
$700$	−6.97517	+	21.1610i	−0.263636	+	0.799810i
$701$		−	15.0426i		−	0.568153i	−0.958802	−	0.284076i	$-0.908313\pi$
$701$		−	15.0426i		−	0.568153i	0.958802	−	0.284076i	$-0.0916870\pi$
$702$	−47.4840	−	11.1500i	−1.79217	−	0.420828i
$703$			10.5070i			0.396281i
$704$	12.9231	−	14.2942i	0.487056	−	0.538732i
$705$	−22.4107	−	11.6666i	−0.844035	−	0.439391i
$706$	22.9882	−	1.19698i	0.865173	−	0.0450489i
$707$	−13.8595	+	24.0053i	−0.521239	+	0.902812i
$708$	−5.99664	+	36.0778i	−0.225368	+	1.35589i
$709$	12.9938	−	7.50195i	0.487991	−	0.281742i	−0.235750	−	0.971814i	$-0.575755\pi$
$709$	12.9938	−	7.50195i	0.487991	−	0.281742i	0.723741	+	0.690072i	$0.242421\pi$
$710$	−10.0796	−	26.4260i	−0.378282	−	0.991752i
$711$	−0.286513	+	20.6014i	−0.0107451	+	0.772614i
$712$	0.0287741	+	0.182871i	0.00107836	+	0.00685340i
$713$	−11.2668	+	6.50488i	−0.421944	+	0.243610i
$714$	−0.110356	+	0.501187i	−0.00412996	+	0.0187564i
$715$	23.9690	−	26.5248i	0.896391	−	0.991972i
$716$	−40.7468	+	29.5623i	−1.52278	+	1.10479i
$717$	14.6930	−	14.4901i	0.548722	−	0.541144i
$718$	−26.0021	−	13.2598i	−0.970391	−	0.494852i
$719$	−14.5697			−0.543357			−0.271679	−	0.962388i	$-0.587579\pi$
$719$	−14.5697			−0.543357			−0.271679	+	0.962388i	$0.587579\pi$
$720$	26.8289	+	0.457320i	0.999855	+	0.0170433i
$721$	−9.63793			−0.358935
$722$	−14.3888	−	7.33757i	−0.535495	−	0.273076i
$723$	−5.31973	−	20.4204i	−0.197843	−	0.759444i
$724$	14.8645	−	10.7843i	0.552433	−	0.400796i
$725$	18.0078	+	24.9728i	0.668792	+	0.927466i
$726$	12.1376	−	3.84614i	0.450469	−	0.142744i
$727$	1.15341	−	0.665923i	0.0427777	−	0.0246977i	−0.478459	−	0.878110i	$-0.658804\pi$
$727$	1.15341	−	0.665923i	0.0427777	−	0.0246977i	0.521236	+	0.853412i	$0.325471\pi$
$728$	−41.3212	+	6.50173i	−1.53146	+	0.240970i
$729$	−1.12610	+	26.9765i	−0.0417074	+	0.999130i
$730$	4.84621	−	1.84848i	0.179366	−	0.0684154i
$731$	−0.286463	+	0.165390i	−0.0105952	+	0.00611715i
$732$	−29.5042	−	24.2670i	−1.09051	−	0.896936i
$733$	8.75709	−	15.1677i	0.323451	−	0.560233i	−0.657747	−	0.753239i	$-0.728490\pi$
$733$	8.75709	−	15.1677i	0.323451	−	0.560233i	0.981198	+	0.193006i	$0.0618237\pi$
$734$	42.8918	−	2.23334i	1.58316	−	0.0824341i
$735$	7.87635	−	0.343782i	0.290524	−	0.0126806i
$736$	24.4216	−	6.49957i	0.900191	−	0.239577i
$737$			0.0313191i			0.00115365i
$738$	−22.6405	+	0.863375i	−0.833407	+	0.0317813i
$739$			36.5317i			1.34384i	0.740624	+	0.671920i	$0.234530\pi$
$739$			36.5317i			1.34384i	−0.740624	+	0.671920i	$0.765470\pi$
$740$	−1.82591	+	16.9703i	−0.0671217	+	0.623840i
$741$	−22.2237	−	22.5349i	−0.816408	−	0.827841i
$742$	39.0472	−	2.03316i	1.43347	−	0.0746395i
$743$	−5.89774	−	3.40506i	−0.216367	−	0.124920i	0.387900	−	0.921702i	$-0.373201\pi$
$743$	−5.89774	−	3.40506i	−0.216367	−	0.124920i	−0.604267	+	0.796782i	$0.706534\pi$
$744$	11.4746	+	8.47729i	0.420680	+	0.310792i
$745$	9.93559	+	30.7655i	0.364012	+	1.12716i
$746$	35.6203	−	23.1150i	1.30415	−	0.846299i
$747$	−0.713476	+	51.3019i	−0.0261047	+	1.87704i
$748$	−0.184528	+	0.413704i	−0.00674701	+	0.0151265i
$749$	−20.7892	+	12.0026i	−0.759620	+	0.438567i
$750$	−26.8576	+	5.35454i	−0.980700	+	0.195520i
$751$	17.1954	−	29.7833i	0.627469	−	1.08681i	−0.360589	−	0.932725i	$-0.617424\pi$
$751$	17.1954	−	29.7833i	0.627469	−	1.08681i	0.988058	−	0.154084i	$-0.0492425\pi$
$752$	5.39080	+	25.5312i	0.196582	+	0.931029i
$753$	−6.91223	+	25.0974i	−0.251896	+	0.914601i
$754$	−26.2585	+	51.4922i	−0.956278	+	1.87524i
$755$	−3.42259	+	15.9617i	−0.124561	+	0.580907i
$756$	7.83060	+	21.7907i	0.284796	+	0.792522i
$757$	11.9790			0.435385			0.217693	−	0.976017i	$-0.430147\pi$
$757$	11.9790			0.435385			0.217693	+	0.976017i	$0.430147\pi$
$758$	−11.8240	+	23.1866i	−0.429468	+	0.842175i
$759$	−17.9693	−	4.94904i	−0.652246	−	0.179639i
$760$	14.5759	+	9.52385i	0.528724	+	0.345466i
$761$	5.04819	−	8.74372i	0.182997	−	0.316960i	−0.759903	−	0.650037i	$-0.774754\pi$
$761$	5.04819	−	8.74372i	0.182997	−	0.316960i	0.942900	+	0.333077i	$0.108087\pi$
$762$	−6.29079	+	6.88501i	−0.227891	+	0.249418i
$763$	17.1184	+	29.6500i	0.619729	+	1.07340i
$764$	−1.59798	+	3.58261i	−0.0578129	+	0.129614i
$765$	−0.602892	+	0.185483i	−0.0217976	+	0.00670617i
$766$	21.2194	+	32.6992i	0.766690	+	1.18147i
$767$	60.6881	−	35.0383i	2.19132	−	1.26516i
$768$	−17.2315	−	21.7043i	−0.621788	−	0.783186i
$769$	20.6983	−	35.8505i	0.746400	−	1.29280i	−0.203137	−	0.979150i	$-0.565114\pi$
$769$	20.6983	−	35.8505i	0.746400	−	1.29280i	0.949538	−	0.313653i	$-0.101553\pi$
$770$	−16.7570	−	2.69055i	−0.603879	−	0.0969607i
$771$	10.3378	+	10.4826i	0.372306	+	0.377520i
$772$	−2.41989	−	23.1743i	−0.0870939	−	0.834061i
$773$	0.641429			0.0230706			0.0115353	−	0.999933i	$-0.496328\pi$
$773$	0.641429			0.0230706			0.0115353	+	0.999933i	$0.496328\pi$
$774$	−6.96436	+	13.2001i	−0.250329	+	0.474467i
$775$	−13.2805	−	5.96984i	−0.477051	−	0.214443i
$776$	24.5314	+	30.3565i	0.880625	+	1.08974i
$777$	−14.2531	+	3.71308i	−0.511327	+	0.133206i
$778$	−13.2731	+	0.691120i	−0.475864	+	0.0247778i
$779$	−12.7322	−	7.35092i	−0.456177	−	0.263374i
$780$	−31.9782	−	40.2590i	−1.14500	−	1.44150i
$781$	18.6572	−	10.7718i	0.667608	−	0.385444i
$782$	−0.498347	+	0.323391i	−0.0178209	+	0.0115644i
$783$	30.7264	+	8.92405i	1.09807	+	0.318920i
$784$	−5.44016	−	6.05834i	−0.194291	−	0.216369i
$785$	−17.0500	+	5.50620i	−0.608539	+	0.196525i
$786$	−4.36106	−	13.7626i	−0.155554	−	0.490895i
$787$	−13.0360	+	22.5790i	−0.464683	+	0.804855i	−0.999187	−	0.0403109i	$-0.987165\pi$
$787$	−13.0360	+	22.5790i	−0.464683	+	0.804855i	0.534504	+	0.845166i	$0.320499\pi$
$788$	−5.30713	−	7.31502i	−0.189059	−	0.260587i
$789$	8.27338	−	2.15530i	0.294540	−	0.0767308i
$790$	−13.7034	+	16.8489i	−0.487544	+	0.599458i
$791$	8.47880			0.301472
$792$	2.89581	+	20.2326i	0.102898	+	0.718935i
$793$			73.1981i			2.59934i
$794$	−3.22868	−	1.64647i	−0.114582	−	0.0584310i
$795$	25.8216	+	40.5329i	0.915797	+	1.43756i
$796$	16.7190	+	23.0444i	0.592589	+	0.816789i
$797$	−15.6276	+	27.0678i	−0.553559	+	0.958792i	0.444455	+	0.895801i	$0.353397\pi$
$797$	−15.6276	+	27.0678i	−0.553559	+	0.958792i	−0.998014	+	0.0629907i	$0.979936\pi$
$798$	−3.23095	+	14.6735i	−0.114374	+	0.519438i
$799$	−0.306708	−	0.531233i	−0.0108505	−	0.0187937i
$800$	21.8870	+	17.9153i	0.773824	+	0.633401i
$801$	−0.168663	−	0.100531i	−0.00595942	−	0.00355207i
$802$	−10.5569	+	6.85069i	−0.372779	+	0.241906i
$803$	1.97541	+	3.42151i	0.0697106	+	0.120742i
$804$	0.0444317	+	0.00738517i	0.00156699	+	0.000260455i
$805$	−16.5139	−	14.9227i	−0.582040	−	0.525957i
$806$	−1.42142	−	27.2987i	−0.0500674	−	0.961556i
$807$	4.24409	−	15.4098i	0.149399	−	0.542449i
$808$	22.1165	+	27.3682i	0.778055	+	0.962810i
$809$	−4.28294			−0.150580			−0.0752901	−	0.997162i	$-0.523988\pi$
$809$	−4.28294			−0.150580			−0.0752901	+	0.997162i	$0.523988\pi$
$810$	−18.5648	+	21.5719i	−0.652301	+	0.757960i
$811$			28.3994i			0.997236i	0.866822	+	0.498618i	$0.166159\pi$
$811$			28.3994i			0.997236i	−0.866822	+	0.498618i	$0.833841\pi$
$812$	27.2913	−	2.84980i	0.957737	−	0.100008i
$813$	36.5573	+	10.0685i	1.28212	+	0.353117i
$814$	−12.9835	+	0.676038i	−0.455070	+	0.0236951i
$815$	−18.7654	−	16.9572i	−0.657322	−	0.593986i
$816$	0.543400	+	0.359339i	0.0190228	+	0.0125794i
$817$	−8.38696	+	4.84221i	−0.293422	+	0.169408i
$818$	−1.25224	+	0.812615i	−0.0437836	+	0.0284124i
$819$	22.7156	−	38.1107i	0.793748	−	1.33170i
$820$	−19.2867	−	14.0853i	−0.673521	−	0.491880i
$821$	−7.06983	+	4.08177i	−0.246739	+	0.142455i	−0.618270	−	0.785966i	$-0.712166\pi$
$821$	−7.06983	+	4.08177i	−0.246739	+	0.142455i	0.371531	+	0.928420i	$0.378833\pi$
$822$	−25.3280	−	5.57695i	−0.883416	−	0.194518i
$823$	−27.3483	−	15.7896i	−0.953303	−	0.550390i	−0.0591976	−	0.998246i	$-0.518854\pi$
$823$	−27.3483	−	15.7896i	−0.953303	−	0.550390i	−0.894105	+	0.447856i	$0.852188\pi$
$824$	−4.39611	+	11.4177i	−0.153146	+	0.397754i
$825$	−7.27023	−	19.5524i	−0.253117	−	0.680726i
$826$	−29.6362	−	15.1130i	−1.03117	−	0.525848i
$827$	−45.7574			−1.59114			−0.795571	−	0.605861i	$-0.792829\pi$
$827$	−45.7574			−1.59114			−0.795571	+	0.605861i	$0.792829\pi$
$828$	−11.2583	+	24.3257i	−0.391254	+	0.845376i
$829$		−	52.2471i		−	1.81462i	−0.420465	−	0.907309i	$-0.638133\pi$
$829$		−	52.2471i		−	1.81462i	0.420465	−	0.907309i	$-0.361867\pi$
$830$	−34.1242	+	41.9573i	−1.18447	+	1.45636i
$831$	11.4943	+	44.1223i	0.398733	+	1.53058i
$832$	−11.1453	+	51.9172i	−0.386395	+	1.79990i
$833$	0.165766	+	0.0957049i	0.00574344	+	0.00331598i
$834$	−12.9117	−	40.7465i	−0.447094	−	1.41094i
$835$	6.53439	+	20.2337i	0.226132	+	0.700217i
$836$	−5.40254	+	12.1123i	−0.186851	+	0.418912i
$837$	−14.6948	+	3.61069i	−0.507925	+	0.124804i
$838$	8.11809	+	12.5100i	0.280435	+	0.432151i
$839$	1.69165	+	2.93002i	0.0584021	+	0.101155i	0.893748	−	0.448569i	$-0.148066\pi$
$839$	1.69165	+	2.93002i	0.0584021	+	0.101155i	−0.835346	+	0.549724i	$0.814733\pi$
$840$	−7.76838	+	23.1383i	−0.268035	+	0.798346i
$841$	4.45839	−	7.72216i	0.153738	−	0.266281i
$842$	30.2384	−	1.57449i	1.04208	−	0.0542605i
$843$	1.14932	+	4.41181i	0.0395848	+	0.151951i
$844$	−4.59930	−	44.0456i	−0.158315	−	1.51611i
$845$	−14.5597	+	67.9009i	−0.500867	+	2.33586i
$846$	−24.4789	−	12.9151i	−0.841603	−	0.444030i
$847$			11.5816i			0.397948i
$848$	15.4019	−	47.1851i	0.528902	−	1.62034i
$849$	18.3328	−	18.0796i	0.629181	−	0.620491i
$850$	−0.619801	−	0.240705i	−0.0212590	−	0.00825611i
$851$	−14.7660	−	8.52516i	−0.506172	−	0.292239i
$852$	−10.8822	−	29.0086i	−0.372818	−	0.993819i
$853$	−17.8342	−	30.8897i	−0.610631	−	1.05764i	−0.991134	−	0.132865i	$-0.957582\pi$
$853$	−17.8342	−	30.8897i	−0.610631	−	1.05764i	0.380503	−	0.924780i	$-0.375751\pi$
$854$	29.1494	−	18.9159i	0.997472	−	0.647287i
$855$	−17.6512	+	5.43051i	−0.603660	+	0.185720i
$856$	4.73657	+	30.1028i	0.161893	+	1.02889i
$857$	11.6098	−	6.70294i	0.396584	−	0.228968i	−0.288425	−	0.957503i	$-0.593132\pi$
$857$	11.6098	−	6.70294i	0.396584	−	0.228968i	0.685009	+	0.728534i	$0.259798\pi$
$858$	26.4163	−	28.9115i	0.901837	−	0.987024i
$859$	−8.34636	−	4.81877i	−0.284774	−	0.164414i	0.350809	−	0.936447i	$-0.385907\pi$
$859$	−8.34636	−	4.81877i	−0.284774	−	0.164414i	−0.635583	+	0.772033i	$0.719240\pi$
$860$	−14.3875	+	6.36334i	−0.490611	+	0.216988i
$861$	5.47231	−	19.8693i	0.186496	−	0.677143i
$862$	−2.54804	−	1.29938i	−0.0867866	−	0.0442569i
$863$			16.8429i			0.573337i	0.958030	+	0.286669i	$0.0925479\pi$
$863$			16.8429i			0.573337i	−0.958030	+	0.286669i	$0.907452\pi$
$864$	29.3864	+	0.662722i	0.999746	+	0.0225462i
$865$	1.41914	−	6.61835i	0.0482522	−	0.225031i
$866$	−3.22172	+	6.31771i	−0.109479	+	0.214685i
$867$	28.3731	+	7.81440i	0.963601	+	0.265391i
$868$	−10.5037	+	7.62058i	−0.356520	+	0.258659i
$869$	−14.3264	−	8.27137i	−0.485991	−	0.280587i
$870$	19.5757	+	27.4645i	0.663677	+	0.931133i
$871$	−0.0431514	−	0.0747404i	−0.00146213	−	0.00253248i
$872$	42.9334	−	6.75540i	1.45391	−	0.228767i
$873$	−41.3931	−	0.575671i	−1.40094	−	0.0194835i
$874$	−14.5904	+	9.46812i	−0.493528	+	0.320264i
$875$	2.73666	−	24.7601i	0.0925161	−	0.837043i
$876$	5.31982	−	1.99566i	0.179740	−	0.0674271i
$877$	9.71235	−	16.8223i	0.327963	−	0.568048i	−0.654145	−	0.756369i	$-0.726971\pi$
$877$	9.71235	−	16.8223i	0.327963	−	0.568048i	0.982107	+	0.188321i	$0.0603046\pi$
$878$	−1.43815	−	27.6201i	−0.0485353	−	0.932132i
$879$	−16.2143	+	15.9904i	−0.546895	+	0.539342i
$880$	−10.8307	+	18.6241i	−0.365102	+	0.627818i
$881$	31.8313			1.07242			0.536212	−	0.844083i	$-0.319855\pi$
$881$	31.8313			1.07242			0.536212	+	0.844083i	$0.319855\pi$
$882$	8.63006	−	0.329100i	0.290589	−	0.0110814i
$883$	−35.2726			−1.18702			−0.593509	−	0.804827i	$-0.702258\pi$
$883$	−35.2726			−1.18702			−0.593509	+	0.804827i	$0.702258\pi$
$884$	−0.129641	−	1.24151i	−0.00436028	−	0.0417566i
$885$	−1.78303	−	40.8508i	−0.0599359	−	1.37318i
$886$	−0.0368031	−	0.706811i	−0.00123642	−	0.0237458i
$887$	−5.46973	−	3.15795i	−0.183656	−	0.106034i	0.405353	−	0.914160i	$-0.367148\pi$
$887$	−5.46973	−	3.15795i	−0.183656	−	0.106034i	−0.589009	+	0.808126i	$0.700482\pi$
$888$	−2.10247	+	18.5787i	−0.0705543	+	0.623461i
$889$	−4.24161	−	7.34669i	−0.142259	−	0.246400i
$890$	−0.0737614	−	0.193382i	−0.00247249	−	0.00648219i
$891$	−18.4655	−	11.3572i	−0.618619	−	0.380481i
$892$	−0.346947	−	0.154752i	−0.0116166	−	0.00518147i
$893$	−8.97967	−	15.5532i	−0.300493	−	0.520469i
$894$	10.6982	+	33.7614i	0.357802	+	1.12915i
$895$	37.7354	−	41.7592i	1.26136	−	1.39585i
$896$	23.5550	−	8.97808i	0.786917	−	0.299937i
$897$	49.7011	−	12.9477i	1.65947	−	0.432310i
$898$	50.6455	+	25.8267i	1.69006	+	0.861848i
$899$			17.9319i			0.598062i
$900$	−29.4528	+	5.70358i	−0.981761	+	0.190119i
$901$			1.16681i			0.0388721i
$902$	8.26425	−	16.2060i	0.275169	−	0.539600i
$903$	−9.53246	−	9.66595i	−0.317220	−	0.321663i
$904$	3.86741	−	10.0445i	0.128628	−	0.334076i
$905$	−13.7659	+	15.2338i	−0.457594	+	0.506387i
$906$	−3.84544	+	17.4643i	−0.127756	+	0.580212i
$907$	−23.2369	−	40.2475i	−0.771570	−	1.33640i	−0.936702	−	0.350126i	$-0.886139\pi$
$907$	−23.2369	−	40.2475i	−0.771570	−	1.33640i	0.165133	−	0.986271i	$-0.447195\pi$
$908$	9.32695	−	20.9107i	0.309526	−	0.693945i
$909$	−37.3183	−	0.519001i	−1.23777	−	0.0172142i
$910$	43.6961	−	16.6669i	1.44851	−	0.552504i
$911$	21.0164	+	36.4015i	0.696304	+	1.20603i	0.969739	+	0.244144i	$0.0785069\pi$
$911$	21.0164	+	36.4015i	0.696304	+	1.20603i	−0.273435	+	0.961891i	$0.588160\pi$
$912$	15.9095	+	10.5206i	0.526815	+	0.348371i
$913$	−35.6758	−	20.5974i	−1.18070	−	0.681676i
$914$	44.6068	−	2.32264i	1.47546	−	0.0768261i
$915$	37.8849	+	19.7223i	1.25244	+	0.651999i
$916$	2.96946	+	28.4373i	0.0981138	+	0.939594i
$917$	13.1321			0.433661
$918$	−0.661543	+	0.199549i	−0.0218342	+	0.00658609i
$919$	22.3217			0.736325			0.368163	−	0.929761i	$-0.379987\pi$
$919$	22.3217			0.736325			0.368163	+	0.929761i	$0.379987\pi$
$920$	−25.2108	+	12.7568i	−0.831177	+	0.420578i
$921$	−15.8630	−	4.36891i	−0.522703	−	0.143961i
$922$	21.9678	−	1.14385i	0.723472	−	0.0376706i
$923$	−29.6826	+	51.4118i	−0.977015	+	1.69224i
$924$	−18.3398	−	3.04834i	−0.603336	−	0.100283i
$925$	−1.92687	−	18.9853i	−0.0633549	−	0.624234i
$926$	−21.1339	−	32.5675i	−0.694504	−	1.07023i
$927$	−6.33155	−	11.3275i	−0.207955	−	0.372043i
$928$	9.07224	−	33.6308i	0.297811	−	1.10399i
$929$	3.39809	+	5.88566i	0.111488	+	0.193102i	0.916370	−	0.400332i	$-0.131105\pi$
$929$	3.39809	+	5.88566i	0.111488	+	0.193102i	−0.804883	+	0.593434i	$0.797772\pi$
$930$	−14.5119	−	6.61961i	−0.475864	−	0.217066i
$931$	4.85323	+	2.80201i	0.159058	+	0.0918322i
$932$	27.2092	−	19.7406i	0.891268	−	0.646625i
$933$	−32.0842	+	31.6411i	−1.05039	+	1.03588i
$934$	−4.57130	−	2.33114i	−0.149577	−	0.0762771i
$935$	0.106184	−	0.495204i	0.00347259	−	0.0161949i
$936$	−34.7871	−	44.2936i	−1.13705	−	1.44778i
$937$			8.13647i			0.265807i	0.991129	+	0.132903i	$0.0424300\pi$
$937$			8.13647i			0.265807i	−0.991129	+	0.132903i	$0.957570\pi$
$938$	−0.0186124	+	0.0364985i	−0.000607717	+	0.00119172i
$939$	52.0485	−	13.5592i	1.69854	−	0.442487i
$940$	−11.8005	−	26.6811i	−0.384891	−	0.870240i
$941$	43.1566	+	24.9165i	1.40687	+	0.812254i	0.995085	−	0.0990283i	$-0.0315734\pi$
$941$	43.1566	+	24.9165i	1.40687	+	0.812254i	0.411781	+	0.911283i	$0.364907\pi$
$942$	−18.7102	+	5.92885i	−0.609612	+	0.193172i
$943$	20.6611	−	11.9287i	0.672819	−	0.388452i
$944$	−31.4216	+	28.2154i	−1.02269	+	0.918333i
$945$	−13.6044	−	22.0253i	−0.442551	−	0.716483i
$946$	−6.52310	−	10.0521i	−0.212084	−	0.326823i
$947$	−3.94954	−	6.84081i	−0.128343	−	0.222296i	0.794692	−	0.607013i	$-0.207632\pi$
$947$	−3.94954	−	6.84081i	−0.128343	−	0.222296i	−0.923035	+	0.384717i	$0.874299\pi$
$948$	−15.1126	+	18.3742i	−0.490836	+	0.596765i
$949$	−9.42829	−	5.44342i	−0.306055	−	0.176701i
$950$	−18.1463	−	7.04727i	−0.588743	−	0.228644i
$951$	−0.804306	−	3.08742i	−0.0260814	−	0.100117i
$952$	−0.460901	+	0.372458i	−0.0149379	+	0.0120714i
$953$		−	41.8016i		−	1.35409i	−0.735943	−	0.677044i	$-0.763261\pi$
$953$		−	41.8016i		−	1.35409i	0.735943	−	0.677044i	$-0.236739\pi$
$954$	28.0413	+	44.5566i	0.907870	+	1.44257i
$955$	0.919537	−	4.28839i	0.0297555	−	0.138769i
$956$	23.6997	−	2.47476i	0.766502	−	0.0800393i
$957$	−18.2915	+	18.0389i	−0.591281	+	0.583115i
$958$	−0.0789997	−	1.51721i	−0.00255237	−	0.0490187i
$959$	11.7953	−	20.4301i	0.380891	−	0.659722i
$960$	23.8677	+	19.7569i	0.770326	+	0.637651i
$961$	11.2598	+	19.5025i	0.363218	+	0.629112i
$962$	30.0525	−	19.5019i	0.968930	−	0.628766i
$963$	−27.7640	−	16.5485i	−0.894682	−	0.533269i
$964$	9.92576	−	22.2532i	0.319687	−	0.716726i
$965$	8.00577	+	24.7899i	0.257715	+	0.798014i
$966$	−17.9999	−	16.4464i	−0.579136	−	0.529153i
$967$	6.91492	+	3.99233i	0.222369	+	0.128385i	0.607047	−	0.794666i	$-0.292354\pi$
$967$	6.91492	+	3.99233i	0.222369	+	0.128385i	−0.384678	+	0.923051i	$0.625687\pi$
$968$	13.7203	+	5.28267i	0.440986	+	0.169792i
$969$	−0.432277	−	0.119056i	−0.0138867	−	0.00382463i
$970$	−33.8534	−	27.5333i	−1.08697	−	0.884040i
$971$		−	54.0428i		−	1.73432i	−0.498032	−	0.867159i	$-0.665944\pi$
$971$		−	54.0428i		−	1.73432i	0.498032	−	0.867159i	$-0.334056\pi$
$972$	−20.4665	+	23.5186i	−0.656463	+	0.754358i
$973$	38.8799			1.24643
$974$	0.891301	−	1.74782i	0.0285591	−	0.0560037i
$975$	44.2890	+	36.6431i	1.41838	+	1.17352i
$976$	−9.11307	−	43.1602i	−0.291702	−	1.38152i
$977$	29.8783	+	17.2502i	0.955891	+	0.551884i	0.894906	−	0.446255i	$-0.147243\pi$
$977$	29.8783	+	17.2502i	0.955891	+	0.551884i	0.0609849	+	0.998139i	$0.480576\pi$
$978$	−20.4539	−	18.6886i	−0.654043	−	0.597595i
$979$	0.136531	−	0.0788263i	0.00436355	−	0.00251930i
$980$	7.35168	+	5.36902i	0.234841	+	0.171507i
$981$	−23.6019	+	39.5976i	−0.753551	+	1.26425i
$982$	−12.5942	−	19.4077i	−0.401898	−	0.619326i
$983$	−4.31803	+	2.49302i	−0.137724	+	0.0795149i	−0.567279	−	0.823526i	$-0.692004\pi$
$983$	−4.31803	+	2.49302i	−0.137724	+	0.0795149i	0.429555	+	0.903041i	$0.358670\pi$
$984$	−21.0423	−	15.5457i	−0.670804	−	0.495580i
$985$	7.49675	+	6.77440i	0.238866	+	0.215850i
$986$	0.0425789	+	0.817738i	0.00135599	+	0.0260421i
$987$	17.9251	−	17.6775i	0.570562	−	0.562682i
$988$	−3.79557	−	36.3485i	−0.120753	−	1.15640i
$989$		−	15.7154i		−	0.499721i
$990$	−7.84613	−	21.4620i	−0.249366	−	0.682109i
$991$	−48.7006			−1.54702			−0.773512	−	0.633781i	$-0.781502\pi$
$991$	−48.7006			−1.54702			−0.773512	+	0.633781i	$0.781502\pi$
$992$	4.23678	+	15.9193i	0.134518	+	0.505439i
$993$	46.4238	−	12.0939i	1.47321	−	0.383788i
$994$	28.1441	−	1.46544i	0.892677	−	0.0464810i
$995$	−23.6170	−	21.3414i	−0.748708	−	0.676566i
$996$	−37.6336	+	45.7555i	−1.19247	+	1.44982i
$997$	−15.5061	−	26.8573i	−0.491082	−	0.850579i	0.508865	−	0.860846i	$-0.330065\pi$
$997$	−15.5061	−	26.8573i	−0.491082	−	0.850579i	−0.999947	+	0.0102672i	$0.996732\pi$
$998$	27.1543	+	41.8448i	0.859553	+	1.32457i
$999$	−13.7274	−	14.3124i	−0.434317	−	0.452825i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bk.a.229.10	✓	136
5.4	even	2	inner	360.2.bk.a.229.59	yes	136
8.5	even	2	inner	360.2.bk.a.229.33	yes	136
9.7	even	3	inner	360.2.bk.a.349.36	yes	136
40.29	even	2	inner	360.2.bk.a.229.36	yes	136
45.34	even	6	inner	360.2.bk.a.349.33	yes	136
72.61	even	6	inner	360.2.bk.a.349.59	yes	136
360.349	even	6	inner	360.2.bk.a.349.10	yes	136

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bk.a.229.10	✓	136	1.1	even	1	trivial
360.2.bk.a.229.33	yes	136	8.5	even	2	inner
360.2.bk.a.229.36	yes	136	40.29	even	2	inner
360.2.bk.a.229.59	yes	136	5.4	even	2	inner
360.2.bk.a.349.10	yes	136	360.349	even	6	inner
360.2.bk.a.349.33	yes	136	45.34	even	6	inner
360.2.bk.a.349.36	yes	136	9.7	even	3	inner
360.2.bk.a.349.59	yes	136	72.61	even	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bk (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.25986 - 0.642465i) q^{2} +(1.66988 + 0.459910i) q^{3} +(1.17448 + 1.61883i) q^{4} +(-1.65905 - 1.49919i) q^{5} +(-1.80833 - 1.65226i) q^{6} +(1.92958 - 1.11405i) q^{7} +(-0.439633 - 2.79405i) q^{8} +(2.57697 + 1.53598i) q^{9} +O(q^{10})\)	\(q+(-1.25986 - 0.642465i) q^{2} +(1.66988 + 0.459910i) q^{3} +(1.17448 + 1.61883i) q^{4} +(-1.65905 - 1.49919i) q^{5} +(-1.80833 - 1.65226i) q^{6} +(1.92958 - 1.11405i) q^{7} +(-0.439633 - 2.79405i) q^{8} +(2.57697 + 1.53598i) q^{9} +(1.12698 + 2.95464i) q^{10} +(-2.08603 + 1.20437i) q^{11} +(1.21672 + 3.24339i) q^{12} +(3.31875 - 5.74825i) q^{13} +(-3.14674 + 0.163848i) q^{14} +(-2.08091 - 3.26647i) q^{15} +(-1.24121 + 3.80255i) q^{16} -0.0940311i q^{17} +(-2.25979 - 3.59073i) q^{18} -2.75300i q^{19} +(0.478415 - 4.44647i) q^{20} +(3.73453 - 0.972883i) q^{21} +(3.40186 - 0.177132i) q^{22} +(3.86892 + 2.23372i) q^{23} +(0.550879 - 4.86791i) q^{24} +(0.504868 + 4.97445i) q^{25} +(-7.87420 + 5.10979i) q^{26} +(3.59680 + 3.75007i) q^{27} +(4.06970 + 1.81524i) q^{28} +(5.33269 - 3.07883i) q^{29} +(0.523054 + 5.45219i) q^{30} +(-1.45606 + 2.52198i) q^{31} +(4.00675 - 3.99324i) q^{32} +(-4.03731 + 1.05176i) q^{33} +(-0.0604117 + 0.118466i) q^{34} +(-4.87144 - 1.04456i) q^{35} +(0.540095 + 5.97564i) q^{36} -3.81657 q^{37} +(-1.76871 + 3.46839i) q^{38} +(8.18558 - 8.07253i) q^{39} +(-3.45944 + 5.29455i) q^{40} +(2.67014 - 4.62482i) q^{41} +(-5.33001 - 1.17361i) q^{42} +(-1.75888 - 3.04647i) q^{43} +(-4.39966 - 1.96241i) q^{44} +(-1.97258 - 6.41163i) q^{45} +(-3.43920 - 5.29981i) q^{46} +(5.64955 - 3.26177i) q^{47} +(-3.82149 + 5.77895i) q^{48} +(-1.01780 + 1.76288i) q^{49} +(2.55985 - 6.59145i) q^{50} +(0.0432458 - 0.157020i) q^{51} +(13.2032 - 1.37870i) q^{52} -12.4088 q^{53} +(-2.12216 - 7.03537i) q^{54} +(5.26639 + 1.12925i) q^{55} +(-3.96101 - 4.90159i) q^{56} +(1.26613 - 4.59717i) q^{57} +(-8.69647 + 0.452818i) q^{58} +(9.14320 + 5.27883i) q^{59} +(2.84387 - 7.20503i) q^{60} +(-9.55048 + 5.51397i) q^{61} +(3.45471 - 2.24186i) q^{62} +(6.68363 + 0.0929520i) q^{63} +(-7.61345 + 2.45672i) q^{64} +(-14.1237 + 4.56117i) q^{65} +(5.76215 + 1.26876i) q^{66} +(0.00650115 - 0.0112603i) q^{67} +(0.152220 - 0.110437i) q^{68} +(5.43330 + 5.50939i) q^{69} +(5.46622 + 4.44572i) q^{70} -8.94391 q^{71} +(3.15870 - 7.87544i) q^{72} -1.64020i q^{73} +(4.80834 + 2.45202i) q^{74} +(-1.44473 + 8.53890i) q^{75} +(4.45664 - 3.23334i) q^{76} +(-2.68344 + 4.64786i) q^{77} +(-15.4990 + 4.91128i) q^{78} +(3.43390 + 5.94770i) q^{79} +(7.75996 - 4.44781i) q^{80} +(4.28151 + 7.91636i) q^{81} +(-6.33528 + 4.11114i) q^{82} +(8.55114 + 14.8110i) q^{83} +(5.96105 + 4.90293i) q^{84} +(-0.140970 + 0.156002i) q^{85} +(0.258687 + 4.96814i) q^{86} +(10.3209 - 2.68871i) q^{87} +(4.28215 + 5.29899i) q^{88} -0.0654503 q^{89} +(-1.63408 + 9.34504i) q^{90} -14.7890i q^{91} +(0.927948 + 8.88657i) q^{92} +(-3.59132 + 3.54173i) q^{93} +(-9.21320 + 0.479724i) q^{94} +(-4.12727 + 4.56736i) q^{95} +(8.52730 - 4.82547i) q^{96} +(-11.9503 + 6.89952i) q^{97} +(2.41487 - 1.56708i) q^{98} +(-7.22551 - 0.100488i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) \) 136 * q - 2 * q^4 - 8 * q^9	\( 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) \) 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

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