LMFDB - Embedded newform 273.2.ba.c.38.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(38,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 3]))

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

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

chi := DirichletCharacter("273.38");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.ba (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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			38.9
Character	$\chi$	$=$	273.38
Dual form			273.2.ba.c.194.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.697858 - 1.20873i) q^{2} +(-0.179489 + 1.72273i) q^{3} +(0.0259885 - 0.0450133i) q^{4} +(-0.529415 + 0.305658i) q^{5} +(2.20756 - 0.985265i) q^{6} +(-2.05092 - 1.67145i) q^{7} -2.86398 q^{8} +(-2.93557 - 0.618419i) q^{9} +O(q^{10})$	\(q+(-0.697858 - 1.20873i) q^{2} +(-0.179489 + 1.72273i) q^{3} +(0.0259885 - 0.0450133i) q^{4} +(-0.529415 + 0.305658i) q^{5} +(2.20756 - 0.985265i) q^{6} +(-2.05092 - 1.67145i) q^{7} -2.86398 q^{8} +(-2.93557 - 0.618419i) q^{9} +(0.738913 + 0.426611i) q^{10} +(2.64913 - 4.58843i) q^{11} +(0.0728810 + 0.0528504i) q^{12} +(1.58197 - 3.23996i) q^{13} +(-0.589074 + 3.64543i) q^{14} +(-0.431541 - 0.966899i) q^{15} +(1.94667 + 3.37174i) q^{16} +(3.19826 - 5.53956i) q^{17} +(1.30111 + 3.97986i) q^{18} +(0.126699 + 0.219449i) q^{19} +0.0317743i q^{20} +(3.24756 - 3.23316i) q^{21} -7.39488 q^{22} +(-3.72378 + 2.14993i) q^{23} +(0.514051 - 4.93385i) q^{24} +(-2.31315 + 4.00649i) q^{25} +(-5.02022 + 0.348862i) q^{26} +(1.59227 - 4.94618i) q^{27} +(-0.128538 + 0.0488802i) q^{28} -6.32377i q^{29} +(-0.867561 + 1.19637i) q^{30} +(-0.113692 + 0.196920i) q^{31} +(-0.146975 + 0.254569i) q^{32} +(7.42912 + 5.38730i) q^{33} -8.92774 q^{34} +(1.59668 + 0.258011i) q^{35} +(-0.104128 + 0.116068i) q^{36} +(-6.03926 + 3.48677i) q^{37} +(0.176836 - 0.306288i) q^{38} +(5.29762 + 3.30684i) q^{39} +(1.51623 - 0.875397i) q^{40} +3.84707i q^{41} +(-6.17434 - 1.66913i) q^{42} -1.18356 q^{43} +(-0.137694 - 0.238493i) q^{44} +(1.74316 - 0.569879i) q^{45} +(5.19734 + 3.00069i) q^{46} +(-1.65276 + 0.954224i) q^{47} +(-6.15798 + 2.74839i) q^{48} +(1.41252 + 6.85600i) q^{49} +6.45699 q^{50} +(8.96908 + 6.50402i) q^{51} +(-0.104728 - 0.155412i) q^{52} +(2.56191 + 1.47912i) q^{53} +(-7.08975 + 1.52711i) q^{54} +3.23891i q^{55} +(5.87378 + 4.78699i) q^{56} +(-0.400791 + 0.178879i) q^{57} +(-7.64371 + 4.41310i) q^{58} +(2.91541 + 1.68321i) q^{59} +(-0.0547384 - 0.00570313i) q^{60} +(11.0288 - 6.36746i) q^{61} +0.317362 q^{62} +(4.98695 + 6.17498i) q^{63} +8.19696 q^{64} +(0.152800 + 2.19883i) q^{65} +(1.32730 - 12.7393i) q^{66} +(-9.31510 - 5.37808i) q^{67} +(-0.166236 - 0.287929i) q^{68} +(-3.03536 - 6.80094i) q^{69} +(-0.802389 - 2.11000i) q^{70} +6.51849 q^{71} +(8.40740 + 1.77114i) q^{72} +(6.09089 - 10.5497i) q^{73} +(8.42909 + 4.86654i) q^{74} +(-6.48690 - 4.70404i) q^{75} +0.0131708 q^{76} +(-13.1025 + 4.98260i) q^{77} +(0.300079 - 8.71108i) q^{78} +(-4.15569 - 7.19787i) q^{79} +(-2.06119 - 1.19003i) q^{80} +(8.23511 + 3.63082i) q^{81} +(4.65005 - 2.68471i) q^{82} +14.1762i q^{83} +(-0.0611362 - 0.230209i) q^{84} +3.91030i q^{85} +(0.825955 + 1.43060i) q^{86} +(10.8941 + 1.13505i) q^{87} +(-7.58706 + 13.1412i) q^{88} +(6.09840 - 3.52092i) q^{89} +(-1.90530 - 1.70930i) q^{90} +(-8.65993 + 4.00071i) q^{91} +0.223493i q^{92} +(-0.318832 - 0.231204i) q^{93} +(2.30679 + 1.33183i) q^{94} +(-0.134153 - 0.0774530i) q^{95} +(-0.412172 - 0.298890i) q^{96} +14.2272 q^{97} +(7.30129 - 6.49186i) q^{98} +(-10.6143 + 11.8314i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 12 q^{3} - 40 q^{4} - 12 q^{9}+O(q^{10}) $ 64 * q - 12 * q^3 - 40 * q^4 - 12 * q^9	$ 64 q - 12 q^{3} - 40 q^{4} - 12 q^{9} - 12 q^{10} - 6 q^{12} - 32 q^{16} - 24 q^{22} + 28 q^{25} - 22 q^{30} + 44 q^{36} + 6 q^{39} - 108 q^{40} + 24 q^{42} + 20 q^{49} + 28 q^{51} + 36 q^{52} + 48 q^{61} + 32 q^{64} + 90 q^{66} - 60 q^{75} - 68 q^{78} + 16 q^{79} + 60 q^{81} + 120 q^{82} + 60 q^{87} + 12 q^{88} - 32 q^{91} + 168 q^{94}+O(q^{100}) $ 64 * q - 12 * q^3 - 40 * q^4 - 12 * q^9 - 12 * q^10 - 6 * q^12 - 32 * q^16 - 24 * q^22 + 28 * q^25 - 22 * q^30 + 44 * q^36 + 6 * q^39 - 108 * q^40 + 24 * q^42 + 20 * q^49 + 28 * q^51 + 36 * q^52 + 48 * q^61 + 32 * q^64 + 90 * q^66 - 60 * q^75 - 68 * q^78 + 16 * q^79 + 60 * q^81 + 120 * q^82 + 60 * q^87 + 12 * q^88 - 32 * q^91 + 168 * q^94

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	−0.697858	−	1.20873i	−0.493460	−	0.854698i	0.506511	−	0.862233i	$-0.330935\pi$
$2$	−0.697858	−	1.20873i	−0.493460	−	0.854698i	−0.999972	+	0.00753522i	$0.997601\pi$
$3$	−0.179489	+	1.72273i	−0.103628	+	0.994616i
$3$	−0.179489	+	1.72273i	−0.103628	+	0.994616i
$4$	0.0259885	−	0.0450133i	0.0129942	−	0.0225067i
$5$	−0.529415	+	0.305658i	−0.236762	+	0.136694i	−0.613687	−	0.789549i	$-0.710314\pi$
$5$	−0.529415	+	0.305658i	−0.236762	+	0.136694i	0.376926	+	0.926243i	$0.376981\pi$
$6$	2.20756	−	0.985265i	0.901233	−	0.402233i
$7$	−2.05092	−	1.67145i	−0.775174	−	0.631748i
$7$	−2.05092	−	1.67145i	−0.775174	−	0.631748i
$8$	−2.86398			−1.01257
$9$	−2.93557	−	0.618419i	−0.978523	−	0.206140i
$10$	0.738913	+	0.426611i	0.233665	+	0.134906i
$11$	2.64913	−	4.58843i	0.798744	−	1.38346i	−0.121691	−	0.992568i	$-0.538832\pi$
$11$	2.64913	−	4.58843i	0.798744	−	1.38346i	0.920435	−	0.390897i	$-0.127835\pi$
$12$	0.0728810	+	0.0528504i	0.0210389	+	0.0152566i
$13$	1.58197	−	3.23996i	0.438761	−	0.898604i
$13$	1.58197	−	3.23996i	0.438761	−	0.898604i
$14$	−0.589074	+	3.64543i	−0.157437	+	0.974282i
$15$	−0.431541	−	0.966899i	−0.111423	−	0.249652i
$16$	1.94667	+	3.37174i	0.486668	+	0.842934i
$17$	3.19826	−	5.53956i	0.775693	−	1.34354i	−0.158711	−	0.987325i	$-0.550734\pi$
$17$	3.19826	−	5.53956i	0.775693	−	1.34354i	0.934404	−	0.356215i	$-0.115933\pi$
$18$	1.30111	+	3.97986i	0.306675	+	0.938063i
$19$	0.126699	+	0.219449i	0.0290667	+	0.0503450i	0.880193	−	0.474616i	$-0.157413\pi$
$19$	0.126699	+	0.219449i	0.0290667	+	0.0503450i	−0.851126	+	0.524961i	$0.824080\pi$
$20$			0.0317743i			0.00710495i
$21$	3.24756	−	3.23316i	0.708677	−	0.705534i
$22$	−7.39488			−1.57659
$23$	−3.72378	+	2.14993i	−0.776462	+	0.448291i	−0.835175	−	0.549984i	$-0.814634\pi$
$23$	−3.72378	+	2.14993i	−0.776462	+	0.448291i	0.0587126	+	0.998275i	$0.481300\pi$
$24$	0.514051	−	4.93385i	0.104930	−	1.00712i
$25$	−2.31315	+	4.00649i	−0.462629	+	0.801297i
$26$	−5.02022	+	0.348862i	−0.984546	+	0.0684175i
$27$	1.59227	−	4.94618i	0.306432	−	0.951892i
$28$	−0.128538	+	0.0488802i	−0.0242913	+	0.00923749i
$29$		−	6.32377i		−	1.17430i	−0.809480	−	0.587148i	$-0.800251\pi$
$29$		−	6.32377i		−	1.17430i	0.809480	−	0.587148i	$-0.199749\pi$
$30$	−0.867561	+	1.19637i	−0.158394	+	0.218427i
$31$	−0.113692	+	0.196920i	−0.0204196	+	0.0353678i	−0.876055	−	0.482212i	$-0.839834\pi$
$31$	−0.113692	+	0.196920i	−0.0204196	+	0.0353678i	0.855635	+	0.517580i	$0.173167\pi$
$32$	−0.146975	+	0.254569i	−0.0259818	+	0.0450018i
$33$	7.42912	+	5.38730i	1.29324	+	0.937809i
$34$	−8.92774			−1.53109
$35$	1.59668	+	0.258011i	0.269888	+	0.0436118i
$36$	−0.104128	+	0.116068i	−0.0173547	+	0.0193447i
$37$	−6.03926	+	3.48677i	−0.992848	+	0.573221i	−0.906124	−	0.423011i	$-0.860973\pi$
$37$	−6.03926	+	3.48677i	−0.992848	+	0.573221i	−0.0867235	+	0.996232i	$0.527640\pi$
$38$	0.176836	−	0.306288i	0.0286865	−	0.0496865i
$39$	5.29762	+	3.30684i	0.848298	+	0.529519i
$40$	1.51623	−	0.875397i	0.239737	−	0.138412i
$41$			3.84707i			0.600811i	0.953812	+	0.300406i	$0.0971221\pi$
$41$			3.84707i			0.600811i	−0.953812	+	0.300406i	$0.902878\pi$
$42$	−6.17434	−	1.66913i	−0.952722	−	0.257552i
$43$	−1.18356			−0.180491			−0.0902454	−	0.995920i	$-0.528765\pi$
$43$	−1.18356			−0.180491			−0.0902454	+	0.995920i	$0.528765\pi$
$44$	−0.137694	−	0.238493i	−0.0207581	−	0.0359541i
$45$	1.74316	−	0.569879i	0.259855	−	0.0849525i
$46$	5.19734	+	3.00069i	0.766307	+	0.442427i
$47$	−1.65276	+	0.954224i	−0.241080	+	0.139188i	−0.615673	−	0.788002i	$-0.711116\pi$
$47$	−1.65276	+	0.954224i	−0.241080	+	0.139188i	0.374593	+	0.927189i	$0.377783\pi$
$48$	−6.15798	+	2.74839i	−0.888828	+	0.396697i
$49$	1.41252	+	6.85600i	0.201788	+	0.979429i
$50$	6.45699			0.913156
$51$	8.96908	+	6.50402i	1.25592	+	0.910745i
$52$	−0.104728	−	0.155412i	−0.0145232	−	0.0215517i
$53$	2.56191	+	1.47912i	0.351905	+	0.203173i	0.665524	−	0.746376i	$-0.268208\pi$
$53$	2.56191	+	1.47912i	0.351905	+	0.203173i	−0.313619	+	0.949549i	$0.601541\pi$
$54$	−7.08975	+	1.52711i	−0.964793	+	0.207814i
$55$			3.23891i			0.436735i
$56$	5.87378	+	4.78699i	0.784917	+	0.639689i
$57$	−0.400791	+	0.178879i	−0.0530861	+	0.0236931i
$58$	−7.64371	+	4.41310i	−1.00367	+	0.579468i
$59$	2.91541	+	1.68321i	0.379554	+	0.219136i	0.677624	−	0.735408i	$-0.263010\pi$
$59$	2.91541	+	1.68321i	0.379554	+	0.219136i	−0.298070	+	0.954544i	$0.596343\pi$
$60$	−0.0547384	−	0.00570313i	−0.00706670	−	0.000736271i
$61$	11.0288	−	6.36746i	1.41209	−	0.815270i	0.416503	−	0.909134i	$-0.363255\pi$
$61$	11.0288	−	6.36746i	1.41209	−	0.815270i	0.995585	+	0.0938647i	$0.0299221\pi$
$62$	0.317362			0.0403051
$63$	4.98695	+	6.17498i	0.628296	+	0.777974i
$64$	8.19696			1.02462
$65$	0.152800	+	2.19883i	0.0189525	+	0.272731i
$66$	1.32730	−	12.7393i	0.163379	−	1.56810i
$67$	−9.31510	−	5.37808i	−1.13802	−	0.657036i	−0.192081	−	0.981379i	$-0.561524\pi$
$67$	−9.31510	−	5.37808i	−1.13802	−	0.657036i	−0.945940	+	0.324343i	$0.894857\pi$
$68$	−0.166236	−	0.287929i	−0.0201591	−	0.0349165i
$69$	−3.03536	−	6.80094i	−0.365414	−	0.818738i
$70$	−0.802389	−	2.11000i	−0.0959039	−	0.252193i
$71$	6.51849			0.773602			0.386801	−	0.922163i	$-0.373580\pi$
$71$	6.51849			0.773602			0.386801	+	0.922163i	$0.373580\pi$
$72$	8.40740	+	1.77114i	0.990821	+	0.208731i
$73$	6.09089	−	10.5497i	0.712885	−	1.23475i	−0.250885	−	0.968017i	$-0.580722\pi$
$73$	6.09089	−	10.5497i	0.712885	−	1.23475i	0.963770	−	0.266735i	$-0.0859450\pi$
$74$	8.42909	+	4.86654i	0.979862	+	0.565723i
$75$	−6.48690	−	4.70404i	−0.749042	−	0.543175i
$76$	0.0131708			0.00151080
$77$	−13.1025	+	4.98260i	−1.49317	+	0.567820i
$78$	0.300079	−	8.71108i	0.0339772	−	0.986335i
$79$	−4.15569	−	7.19787i	−0.467552	−	0.809823i	0.531761	−	0.846895i	$-0.321531\pi$
$79$	−4.15569	−	7.19787i	−0.467552	−	0.809823i	−0.999313	+	0.0370712i	$0.988197\pi$
$80$	−2.06119	−	1.19003i	−0.230449	−	0.133050i
$81$	8.23511	+	3.63082i	0.915013	+	0.403425i
$82$	4.65005	−	2.68471i	0.513512	−	0.296476i
$83$			14.1762i			1.55604i	0.628242	+	0.778018i	$0.283775\pi$
$83$			14.1762i			1.55604i	−0.628242	+	0.778018i	$0.716225\pi$
$84$	−0.0611362	−	0.230209i	−0.00667050	−	0.0251178i
$85$			3.91030i			0.424131i
$86$	0.825955	+	1.43060i	0.0890650	+	0.154265i
$87$	10.8941	+	1.13505i	1.16797	+	0.121690i
$88$	−7.58706	+	13.1412i	−0.808783	+	1.40085i
$89$	6.09840	−	3.52092i	0.646430	−	0.373216i	−0.140657	−	0.990058i	$-0.544922\pi$
$89$	6.09840	−	3.52092i	0.646430	−	0.373216i	0.787087	+	0.616842i	$0.211588\pi$
$90$	−1.90530	−	1.70930i	−0.200837	−	0.180177i
$91$	−8.65993	+	4.00071i	−0.907807	+	0.419388i
$92$			0.223493i			0.0233008i
$93$	−0.318832	−	0.231204i	−0.0330613	−	0.0239748i
$94$	2.30679	+	1.33183i	0.237927	+	0.137367i
$95$	−0.134153	−	0.0774530i	−0.0137638	−	0.00794651i
$96$	−0.412172	−	0.298890i	−0.0420671	−	0.0305054i
$97$	14.2272			1.44455			0.722275	−	0.691606i	$-0.243096\pi$
$97$	14.2272			1.44455			0.722275	+	0.691606i	$0.243096\pi$
$98$	7.30129	−	6.49186i	0.737542	−	0.655777i
$99$	−10.6143	+	11.8314i	−1.06678	+	1.18910i
$100$	0.120230	+	0.208245i	0.0120230	+	0.0208245i
$101$	0.206024	−	0.356844i	0.0205001	−	0.0355073i	−0.855593	−	0.517649i	$-0.826807\pi$
$101$	0.206024	−	0.356844i	0.0205001	−	0.0355073i	0.876093	+	0.482141i	$0.160141\pi$
$102$	1.60243	−	15.3800i	0.158664	−	1.52285i
$103$	−11.3885	+	6.57513i	−1.12214	+	0.647867i	−0.941946	−	0.335764i	$-0.891005\pi$
$103$	−11.3885	+	6.57513i	−1.12214	+	0.647867i	−0.180193	+	0.983631i	$0.557672\pi$
$104$	−4.53074	+	9.27918i	−0.444275	+	0.909898i
$105$	−0.731068	+	2.70433i	−0.0713449	+	0.263915i
$106$		−	4.12886i		−	0.401030i
$107$	−5.35323	+	3.09069i	−0.517516	+	0.298788i	−0.735918	−	0.677071i	$-0.763249\pi$
$107$	−5.35323	+	3.09069i	−0.517516	+	0.298788i	0.218402	+	0.975859i	$0.429916\pi$
$108$	−0.181263	−	0.200217i	−0.0174421	−	0.0192659i
$109$	13.2626	+	7.65714i	1.27032	+	0.733421i	0.975049	−	0.221991i	$-0.0712557\pi$
$109$	13.2626	+	7.65714i	1.27032	+	0.733421i	0.295274	+	0.955413i	$0.404589\pi$
$110$	3.91496	−	2.26030i	0.373276	−	0.215511i
$111$	−4.92276	−	11.0298i	−0.467248	−	1.04690i
$112$	1.64322	−	10.1689i	0.155270	−	0.960872i
$113$		−	6.14805i		−	0.578360i	−0.957275	−	0.289180i	$-0.906617\pi$
$113$		−	6.14805i		−	0.578360i	0.957275	−	0.289180i	$-0.0933826\pi$
$114$	0.495911	+	0.359615i	0.0464463	+	0.0336810i
$115$	1.31428	−	2.27641i	0.122558	−	0.212276i
$116$	−0.284654	−	0.164345i	−0.0264295	−	0.0152591i
$117$	−6.64765	+	8.53281i	−0.614575	+	0.788858i
$118$		−	4.69858i		−	0.432539i
$119$	−15.8185	+	6.01543i	−1.45008	+	0.551434i
$120$	1.23592	+	2.76918i	0.112824	+	0.252790i
$121$	−8.53581	−	14.7845i	−0.775983	−	1.34404i
$122$	−15.3930	−	8.88716i	−1.39362	−	0.804606i
$123$	−6.62745	−	0.690505i	−0.597577	−	0.0622608i
$124$	0.00590934	+	0.0102353i	0.000530674	+	0.000919155i
$125$		−	5.88470i		−	0.526344i
$126$	3.98367	−	10.3371i	0.354894	−	0.920903i
$127$	1.45913			0.129477			0.0647384	−	0.997902i	$-0.479379\pi$
$127$	1.45913			0.129477			0.0647384	+	0.997902i	$0.479379\pi$
$128$	−5.42636	−	9.39874i	−0.479627	−	0.830739i
$129$	0.212435	−	2.03895i	0.0187039	−	0.179519i
$130$	2.55115	−	1.71916i	0.223750	−	0.150780i
$131$	−2.34758	−	4.06612i	−0.205109	−	0.355259i	0.745059	−	0.666999i	$-0.232422\pi$
$131$	−2.34758	−	4.06612i	−0.205109	−	0.355259i	−0.950167	+	0.311740i	$0.899088\pi$
$132$	0.435572	−	0.194402i	0.0379117	−	0.0169205i
$133$	0.106949	−	0.661842i	0.00927363	−	0.0573890i
$134$			15.0125i			1.29689i
$135$	0.668868	+	3.10527i	0.0575670	+	0.267259i
$136$	−9.15976	+	15.8652i	−0.785443	+	1.36043i
$137$	7.95042	−	13.7705i	0.679250	−	1.17650i	−0.295957	−	0.955201i	$-0.595638\pi$
$137$	7.95042	−	13.7705i	0.679250	−	1.17650i	0.975207	−	0.221295i	$-0.0710282\pi$
$138$	−6.10223	+	8.41501i	−0.519456	+	0.716333i
$139$			10.0341i			0.851078i	0.904940	+	0.425539i	$0.139915\pi$
$139$			10.0341i			0.851078i	−0.904940	+	0.425539i	$0.860085\pi$
$140$	0.0531091	−	0.0651664i	0.00448854	−	0.00550757i
$141$	−1.34721	−	3.01853i	−0.113456	−	0.254206i
$142$	−4.54898	−	7.87907i	−0.381742	−	0.661196i
$143$	−10.6755	−	15.8419i	−0.892730	−	1.32476i
$144$	−3.62944	−	11.1018i	−0.302453	−	0.925151i
$145$	1.93291	+	3.34790i	0.160519	+	0.278028i
$146$	−17.0023			−1.40712
$147$	−12.0645	+	1.20281i	−0.995067	+	0.0992058i
$148$			0.362463i			0.0297943i
$149$	−5.66226	−	9.80732i	−0.463870	−	0.803447i	0.535279	−	0.844675i	$-0.320206\pi$
$149$	−5.66226	−	9.80732i	−0.463870	−	0.803447i	−0.999150	+	0.0412280i	$0.986873\pi$
$150$	−1.15896	+	11.1236i	−0.0946284	+	0.908240i
$151$	−2.48203	−	1.43300i	−0.201985	−	0.116616i	0.395596	−	0.918425i	$-0.370538\pi$
$151$	−2.48203	−	1.43300i	−0.201985	−	0.116616i	−0.597581	+	0.801809i	$0.703871\pi$
$152$	−0.362863	−	0.628497i	−0.0294320	−	0.0509778i
$153$	−12.8145	+	14.2839i	−1.03599	+	1.15478i
$154$	15.1663	+	12.3602i	1.22213	+	0.996010i
$155$		−	0.139003i		−	0.0111650i
$156$	0.286529	−	0.152524i	0.0229407	−	0.0122117i
$157$	9.60863	+	5.54754i	0.766852	+	0.442742i	0.831751	−	0.555150i	$-0.187339\pi$
$157$	9.60863	+	5.54754i	0.766852	+	0.442742i	−0.0648984	+	0.997892i	$0.520672\pi$
$158$	−5.80016	+	10.0462i	−0.461436	+	0.799231i
$159$	−3.00795	+	4.14798i	−0.238546	+	0.328956i
$160$		−	0.179697i		−	0.0142063i
$161$	11.2307	+	1.81479i	0.885100	+	0.143026i
$162$	−1.35827	−	12.4878i	−0.106716	−	0.981134i
$163$	14.7955	−	8.54216i	1.15887	−	0.669074i	0.207837	−	0.978164i	$-0.433358\pi$
$163$	14.7955	−	8.54216i	1.15887	−	0.669074i	0.951033	+	0.309090i	$0.100024\pi$
$164$	0.173169	+	0.0999794i	0.0135223	+	0.00780708i
$165$	−5.57976	−	0.581348i	−0.434384	−	0.0452579i
$166$	17.1351	−	9.89295i	1.32994	−	0.767842i
$167$			3.12753i			0.242016i	0.992652	+	0.121008i	$0.0386126\pi$
$167$			3.12753i			0.242016i	−0.992652	+	0.121008i	$0.961387\pi$
$168$	−9.30095	+	9.25970i	−0.717584	+	0.714401i
$169$	−7.99472	−	10.2511i	−0.614978	−	0.788544i
$170$	4.72648	−	2.72883i	0.362504	−	0.209292i
$171$	−0.236222	−	0.722560i	−0.0180643	−	0.0552555i
$172$	−0.0307588	+	0.0532759i	−0.00234534	+	0.00406225i
$173$	1.33169	+	2.30656i	0.101247	+	0.175364i	0.912199	−	0.409749i	$-0.134384\pi$
$173$	1.33169	+	2.30656i	0.101247	+	0.175364i	−0.810952	+	0.585113i	$0.801050\pi$
$174$	−6.23059	−	13.9601i	−0.472340	−	1.05831i
$175$	11.4407	−	4.35067i	0.864836	−	0.328879i
$176$	20.6280			1.55489
$177$	−3.42300	+	4.72034i	−0.257288	+	0.354802i
$178$	−8.51164	−	4.91420i	−0.637974	−	0.368335i
$179$	22.8750	+	13.2069i	1.70976	+	0.987129i	0.934843	+	0.355062i	$0.115540\pi$
$179$	22.8750	+	13.2069i	1.70976	+	0.987129i	0.774914	+	0.632066i	$0.217793\pi$
$180$	0.0196498	−	0.0932756i	0.00146461	−	0.00695235i
$181$		−	7.12997i		−	0.529967i	−0.964253	−	0.264983i	$-0.914634\pi$
$181$		−	7.12997i		−	0.529967i	0.964253	−	0.264983i	$-0.0853665\pi$
$182$	10.8792	+	7.67555i	0.806417	+	0.568950i
$183$	8.98985	+	20.1424i	0.664549	+	1.48897i
$184$	10.6648	−	6.15734i	0.786222	−	0.453925i
$185$	2.13152	−	3.69189i	0.156712	−	0.271433i
$186$	−0.0569629	+	0.546728i	−0.00417673	+	0.0400881i
$187$	−16.9453	−	29.3501i	−1.23916	−	2.14629i
$188$			0.0991952i			0.00723455i
$189$	−11.5329	+	7.48281i	−0.838895	+	0.544294i
$190$			0.216205i			0.0156851i
$191$	−2.02679	+	1.17017i	−0.146654	+	0.0846705i	−0.571531	−	0.820580i	$-0.693650\pi$
$191$	−2.02679	+	1.17017i	−0.146654	+	0.0846705i	0.424878	+	0.905251i	$0.360317\pi$
$192$	−1.47126	+	14.1211i	−0.106179	+	1.01910i
$193$	10.2861	+	5.93866i	0.740407	+	0.427474i	0.822217	−	0.569174i	$-0.192737\pi$
$193$	10.2861	+	5.93866i	0.740407	+	0.427474i	−0.0818104	+	0.996648i	$0.526070\pi$
$194$	−9.92855	−	17.1967i	−0.712828	−	1.23465i
$195$	−3.81540	−	0.131433i	−0.273227	−	0.00941209i
$196$	0.345321	+	0.114595i	0.0246658	+	0.00818535i
$197$	−17.6724			−1.25910			−0.629552	−	0.776958i	$-0.716762\pi$
$197$	−17.6724			−1.25910			−0.629552	+	0.776958i	$0.716762\pi$
$198$	21.7082	+	4.57313i	1.54273	+	0.324999i
$199$	−1.38591	−	0.800155i	−0.0982445	−	0.0567215i	0.450073	−	0.892992i	$-0.351398\pi$
$199$	−1.38591	−	0.800155i	−0.0982445	−	0.0567215i	−0.548317	+	0.836270i	$0.684731\pi$
$200$	6.62480	−	11.4745i	0.468444	−	0.811369i
$201$	10.9369	−	15.0821i	0.771430	−	1.06381i
$202$	−0.575102			−0.0404640
$203$	−10.5699	+	12.9695i	−0.741859	+	0.910283i
$204$	0.525860	−	0.234699i	0.0368176	−	0.0164322i
$205$	−1.17589	−	2.03670i	−0.0821275	−	0.142249i
$206$	15.8951	+	9.17702i	1.10746	+	0.639393i
$207$	12.2610	−	4.00840i	0.852197	−	0.278603i
$208$	14.0039	−	0.973149i	0.970994	−	0.0674758i
$209$	1.34257			0.0928674
$210$	3.77897	−	1.00358i	0.260774	−	0.0692533i
$211$	1.05553			0.0726655			0.0363328	−	0.999340i	$-0.488432\pi$
$211$	1.05553			0.0726655			0.0363328	+	0.999340i	$0.488432\pi$
$212$	0.133160	−	0.0768800i	0.00914547	−	0.00528014i
$213$	−1.17000	+	11.2296i	−0.0801667	+	0.769437i
$214$	7.47159	+	4.31372i	0.510747	+	0.294880i
$215$	0.626593	−	0.361764i	0.0427333	−	0.0246721i
$216$	−4.56022	+	14.1657i	−0.310284	+	0.963857i
$217$	0.562313	−	0.213836i	0.0381723	−	0.0145161i
$218$		−	21.3744i		−	1.44766i
$219$	17.0810	+	12.3865i	1.15423	+	0.837001i
$220$	0.145794	+	0.0841744i	0.00982945	+	0.00567503i
$221$	−12.8884	−	19.1257i	−0.866967	−	1.28653i
$222$	−9.89663	+	13.6475i	−0.664219	+	0.915961i
$223$	−3.29430			−0.220603			−0.110301	−	0.993898i	$-0.535182\pi$
$223$	−3.29430			−0.220603			−0.110301	+	0.993898i	$0.535182\pi$
$224$	0.726933	−	0.276438i	0.0485702	−	0.0184703i
$225$	9.26809	−	10.3308i	0.617873	−	0.688721i
$226$	−7.43131	+	4.29047i	−0.494323	+	0.285398i
$227$	7.64728	+	4.41516i	0.507567	+	0.293044i	0.731833	−	0.681484i	$-0.238665\pi$
$227$	7.64728	+	4.41516i	0.507567	+	0.293044i	−0.224266	+	0.974528i	$0.571998\pi$
$228$	−0.00236402	+	0.0226897i	−0.000156561	+	0.00150266i
$229$	−9.15938	−	15.8645i	−0.605269	−	1.04836i	−0.992009	−	0.126168i	$-0.959732\pi$
$229$	−9.15938	−	15.8645i	−0.605269	−	1.04836i	0.386740	−	0.922189i	$-0.373601\pi$
$230$	−3.66873			−0.241909
$231$	−6.23191	−	23.4663i	−0.410030	−	1.54397i
$232$			18.1111i			1.18905i
$233$	−1.15726	+	0.668143i	−0.0758145	+	0.0437715i	−0.537428	−	0.843310i	$-0.680604\pi$
$233$	−1.15726	+	0.668143i	−0.0758145	+	0.0437715i	0.461614	+	0.887081i	$0.347271\pi$
$234$	14.9529	+	2.08049i	0.977504	+	0.136006i
$235$	0.583332	−	1.01036i	0.0380524	−	0.0659086i
$236$	0.151534	−	0.0874883i	0.00986404	−	0.00569500i
$237$	13.1459	−	5.86718i	0.853915	−	0.381114i
$238$	18.3100	+	14.9223i	1.18686	+	0.967266i
$239$	−7.76160			−0.502056			−0.251028	−	0.967980i	$-0.580769\pi$
$239$	−7.76160			−0.502056			−0.251028	+	0.967980i	$0.580769\pi$
$240$	2.42006	−	3.33728i	0.156214	−	0.215420i
$241$	0.515453	−	0.892790i	0.0332032	−	0.0575097i	−0.848946	−	0.528479i	$-0.822762\pi$
$241$	0.515453	−	0.892790i	0.0332032	−	0.0575097i	0.882150	+	0.470969i	$0.156096\pi$
$242$	−11.9136	+	20.6349i	−0.765833	+	1.32646i
$243$	−7.73302	+	13.5352i	−0.496074	+	0.868280i
$244$		−	0.661922i		−	0.0423752i
$245$	−2.84340	−	3.19792i	−0.181658	−	0.204308i
$246$	3.79038	+	8.49264i	0.241666	+	0.541471i
$247$	0.911440	−	0.0633373i	0.0579936	−	0.00403005i
$248$	0.325610	−	0.563973i	0.0206763	−	0.0358123i
$249$	−24.4216	−	2.54446i	−1.54766	−	0.161249i
$250$	−7.11299	+	4.10669i	−0.449865	+	0.259730i
$251$	23.4625			1.48094			0.740470	−	0.672090i	$-0.234603\pi$
$251$	23.4625			1.48094			0.740470	+	0.672090i	$0.234603\pi$
$252$	0.407559	−	0.0640010i	0.0256738	−	0.00403168i
$253$			22.7818i			1.43228i
$254$	−1.01826	−	1.76369i	−0.0638916	−	0.110664i
$255$	−6.73637	−	0.701854i	−0.421848	−	0.0439518i
$256$	0.623298	−	1.07958i	0.0389561	−	0.0674740i
$257$	7.45122	+	12.9059i	0.464795	+	0.805048i	0.999192	−	0.0401853i	$-0.0127948\pi$
$257$	7.45122	+	12.9059i	0.464795	+	0.805048i	−0.534398	+	0.845233i	$0.679461\pi$
$258$	−2.61277	+	1.16612i	−0.162664	+	0.0725994i
$259$	18.2140	+	2.94324i	1.13176	+	0.182884i
$260$	0.102948	+	0.0502661i	0.00638454	+	0.00311737i
$261$	−3.91074	+	18.5639i	−0.242069	+	1.14907i
$262$	−3.27655	+	5.67516i	−0.202426	+	0.350612i
$263$	−16.1197	−	9.30674i	−0.993986	−	0.573878i	−0.0875227	−	0.996163i	$-0.527895\pi$
$263$	−16.1197	−	9.30674i	−0.993986	−	0.573878i	−0.906463	+	0.422284i	$0.861228\pi$
$264$	−21.2768	−	15.4291i	−1.30950	−	0.949596i
$265$	−1.80842			−0.111090
$266$	−0.874620	+	0.332600i	−0.0536264	+	0.0203930i
$267$	4.97098	+	11.1378i	0.304219	+	0.681625i
$268$	−0.484170	+	0.279536i	−0.0295754	+	0.0170754i
$269$	−8.01136	+	13.8761i	−0.488461	+	0.846040i	−0.999912	−	0.0132729i	$-0.995775\pi$
$269$	−8.01136	+	13.8761i	−0.488461	+	0.846040i	0.511451	+	0.859313i	$0.329108\pi$
$270$	3.28664	−	2.97551i	0.200019	−	0.181084i
$271$	5.30174	+	9.18288i	0.322058	+	0.557820i	0.980912	−	0.194450i	$-0.0622921\pi$
$271$	5.30174	+	9.18288i	0.322058	+	0.557820i	−0.658855	+	0.752270i	$0.728959\pi$
$272$	24.9039			1.51002
$273$	−5.33776	−	15.6368i	−0.323056	−	0.946380i
$274$	−22.1931			−1.34073
$275$	12.2557	+	21.2274i	0.739045	+	1.28006i
$276$	−0.385017	−	0.0401145i	−0.0231753	−	0.00241461i
$277$	−8.66166	+	15.0024i	−0.520429	+	0.901409i	0.479289	+	0.877657i	$0.340895\pi$
$277$	−8.66166	+	15.0024i	−0.520429	+	0.901409i	−0.999718	+	0.0237519i	$0.992439\pi$
$278$	12.1284	−	7.00235i	0.727414	−	0.419973i
$279$	0.455528	−	0.507762i	0.0272718	−	0.0303989i
$280$	−4.57285	−	0.738938i	−0.273280	−	0.0441600i
$281$	5.94001			0.354351			0.177176	−	0.984179i	$-0.443304\pi$
$281$	5.94001			0.354351			0.177176	+	0.984179i	$0.443304\pi$
$282$	−2.70841	+	3.73492i	−0.161284	+	0.222411i
$283$	−19.2541	−	11.1164i	−1.14454	−	0.660799i	−0.196987	−	0.980406i	$-0.563116\pi$
$283$	−19.2541	−	11.1164i	−1.14454	−	0.660799i	−0.947550	+	0.319607i	$0.896449\pi$
$284$	0.169406	−	0.293419i	0.0100524	−	0.0174112i
$285$	0.157509	−	0.217206i	0.00933004	−	0.0128662i
$286$	−11.6985	+	23.9591i	−0.691747	+	1.41673i
$287$	6.43018	−	7.89002i	0.379562	−	0.465733i
$288$	0.588886	−	0.656411i	0.0347005	−	0.0386794i
$289$	−11.9578	−	20.7115i	−0.703400	−	1.21832i
$290$	2.69779	−	4.67272i	0.158420	−	0.274391i
$291$	−2.55362	+	24.5095i	−0.149696	+	1.43677i
$292$	−0.316586	−	0.548342i	−0.0185268	−	0.0320893i
$293$		−	6.79656i		−	0.397059i	−0.980095	−	0.198530i	$-0.936383\pi$
$293$		−	6.79656i		−	0.397059i	0.980095	−	0.198530i	$-0.0636166\pi$
$294$	9.87320	+	13.7433i	0.575817	+	0.801528i
$295$	−2.05795			−0.119819
$296$	17.2963	−	9.98602i	1.00533	−	0.580426i
$297$	−18.4771	−	20.4091i	−1.07215	−	1.18426i
$298$	−7.90291	+	13.6882i	−0.457803	+	0.792938i
$299$	1.07476	+	15.4660i	0.0621548	+	0.894425i
$300$	−0.380329	+	0.169746i	−0.0219583	+	0.00980030i
$301$	2.42738	+	1.97826i	0.139912	+	0.114025i
$302$			4.00013i			0.230182i
$303$	0.577765	+	0.418972i	0.0331917	+	0.0240693i
$304$	−0.493282	+	0.854390i	−0.0282917	+	0.0490026i
$305$	−3.89253	+	6.74205i	−0.222885	+	0.386049i
$306$	26.2080	+	5.52109i	1.49821	+	0.315620i
$307$	25.1764			1.43690			0.718448	−	0.695581i	$-0.244853\pi$
$307$	25.1764			1.43690			0.718448	+	0.695581i	$0.244853\pi$
$308$	−0.116230	+	0.719277i	−0.00662280	+	0.0409846i
$309$	−9.28305	−	20.7994i	−0.528094	−	1.18323i
$310$	−0.168016	+	0.0970043i	−0.00954269	+	0.00550947i
$311$	−4.54000	+	7.86350i	−0.257440	+	0.445898i	−0.965555	−	0.260198i	$-0.916212\pi$
$311$	−4.54000	+	7.86350i	−0.257440	+	0.445898i	0.708116	+	0.706096i	$0.249545\pi$
$312$	−15.1723	−	9.47072i	−0.858960	−	0.536174i
$313$	1.97646	−	1.14111i	0.111716	−	0.0644995i	−0.443101	−	0.896472i	$-0.646122\pi$
$313$	1.97646	−	1.14111i	0.111716	−	0.0644995i	0.554817	+	0.831972i	$0.312788\pi$
$314$		−	15.4856i		−	0.873903i
$315$	−4.52759	−	1.74483i	−0.255101	−	0.0983098i
$316$	−0.432000			−0.0243019
$317$	0.0939520	+	0.162730i	0.00527687	+	0.00913981i	0.868652	−	0.495423i	$-0.164987\pi$
$317$	0.0939520	+	0.162730i	0.00527687	+	0.00913981i	−0.863375	+	0.504563i	$0.831654\pi$
$318$	7.11289	+	0.741083i	0.398871	+	0.0415579i
$319$	−29.0162	−	16.7525i	−1.62460	−	0.937961i
$320$	−4.33959	+	2.50547i	−0.242591	+	0.140060i
$321$	−4.36356	−	9.77689i	−0.243550	−	0.545693i
$322$	−5.64382	−	14.8413i	−0.314518	−	0.827071i
$323$	1.62087			0.0901874
$324$	0.377453	−	0.276330i	0.0209696	−	0.0153517i
$325$	9.32153	+	13.8327i	0.517066	+	0.767298i
$326$	−20.6503	−	11.9224i	−1.14371	−	0.660322i
$327$	−15.5716	+	21.4734i	−0.861113	+	1.18748i
$328$		−	11.0179i		−	0.608363i
$329$	4.98462	+	0.805477i	0.274811	+	0.0444074i
$330$	3.19119	+	7.15010i	0.175669	+	0.393600i
$331$	−18.3872	+	10.6159i	−1.01065	+	0.583502i	−0.911383	−	0.411559i	$-0.864985\pi$
$331$	−18.3872	+	10.6159i	−1.01065	+	0.583502i	−0.0992714	+	0.995060i	$0.531651\pi$
$332$	0.638116	+	0.368417i	0.0350212	+	0.0202195i
$333$	19.8849	−	6.50085i	1.08969	−	0.356244i
$334$	3.78033	−	2.18257i	0.206850	−	0.119425i
$335$	6.57540			0.359253
$336$	17.2233	+	4.65602i	0.939608	+	0.254007i
$337$	21.2121			1.15549			0.577747	−	0.816216i	$-0.303932\pi$
$337$	21.2121			1.15549			0.577747	+	0.816216i	$0.303932\pi$
$338$	−6.81155	+	16.8172i	−0.370500	+	0.914736i
$339$	10.5914	+	1.10351i	0.575246	+	0.0599342i
$340$	0.176016	+	0.101623i	0.00954578	+	0.00551126i
$341$	0.602368	+	1.04333i	0.0326201	+	0.0564996i
$342$	−0.708528	+	0.789771i	−0.0383128	+	0.0427059i
$343$	8.56250	−	16.4220i	0.462332	−	0.886707i
$344$	3.38968			0.182759
$345$	3.68573	+	2.67274i	0.198433	+	0.143895i
$346$	1.85866	−	3.21930i	0.0999223	−	0.173071i
$347$	−6.28808	−	3.63043i	−0.337562	−	0.194892i	0.321631	−	0.946865i	$-0.395769\pi$
$347$	−6.28808	−	3.63043i	−0.337562	−	0.194892i	−0.659193	+	0.751973i	$0.729102\pi$
$348$	0.334214	−	0.460883i	0.0179157	−	0.0247059i
$349$	−8.93350			−0.478199			−0.239100	−	0.970995i	$-0.576852\pi$
$349$	−8.93350			−0.478199			−0.239100	+	0.970995i	$0.576852\pi$
$350$	−13.2428	−	10.7925i	−0.707855	−	0.576885i
$351$	−13.5065	−	12.9836i	−0.720924	−	0.693014i
$352$	0.778715	+	1.34877i	0.0415056	+	0.0718899i
$353$	12.3163	+	7.11081i	0.655530	+	0.378470i	0.790572	−	0.612369i	$-0.209783\pi$
$353$	12.3163	+	7.11081i	0.655530	+	0.378470i	−0.135042	+	0.990840i	$0.543117\pi$
$354$	8.09436	+	0.843342i	0.430211	+	0.0448231i
$355$	−3.45099	+	1.99243i	−0.183159	+	0.105747i
$356$		−	0.366013i		−	0.0193986i
$357$	−7.52371	−	28.3306i	−0.398197	−	1.49941i
$358$		−	36.8661i		−	1.94843i
$359$	−10.6132	−	18.3827i	−0.560145	−	0.970199i	−0.997483	−	0.0709023i	$-0.977412\pi$
$359$	−10.6132	−	18.3827i	−0.560145	−	0.970199i	0.437338	−	0.899297i	$-0.355921\pi$
$360$	−4.99236	+	1.63212i	−0.263121	+	0.0860202i
$361$	9.46789	−	16.3989i	0.498310	−	0.863099i
$362$	−8.61818	+	4.97571i	−0.452961	+	0.261517i
$363$	27.0017	−	12.0512i	1.41722	−	0.632525i
$364$	−0.0449731	+	0.493784i	−0.00235723	+	0.0258813i
$365$			7.44691i			0.389789i
$366$	18.0730	−	24.9228i	0.944692	−	1.30274i
$367$	−8.54454	−	4.93320i	−0.446022	−	0.257511i	0.260127	−	0.965574i	$-0.416236\pi$
$367$	−8.54454	−	4.93320i	−0.446022	−	0.257511i	−0.706149	+	0.708064i	$0.749569\pi$
$368$	−14.4980	−	8.37041i	−0.755759	−	0.436338i
$369$	2.37910	−	11.2933i	0.123851	−	0.587907i
$370$	−5.94998			−0.309325
$371$	−2.78199	−	7.31565i	−0.144434	−	0.379809i
$372$	−0.0186932	+	0.00834305i	−0.000969199	+	0.000432567i
$373$	3.41256	+	5.91072i	0.176695	+	0.306046i	0.940747	−	0.339110i	$-0.110126\pi$
$373$	3.41256	+	5.91072i	0.176695	+	0.306046i	−0.764051	+	0.645156i	$0.776793\pi$
$374$	−23.6508	+	40.9643i	−1.22295	+	2.11822i
$375$	10.1377	+	1.05624i	0.523510	+	0.0545439i
$376$	4.73348	−	2.73287i	0.244110	−	0.140937i
$377$	−20.4888	−	10.0040i	−1.05523	−	0.515234i
$378$	17.0930	+	8.71817i	0.879168	+	0.448414i
$379$			9.65252i			0.495817i	0.968783	+	0.247908i	$0.0797432\pi$
$379$			9.65252i			0.495817i	−0.968783	+	0.247908i	$0.920257\pi$
$380$	−0.00697283	+	0.00402577i	−0.000357699	+	0.000206518i
$381$	−0.261897	+	2.51368i	−0.0134174	+	0.128780i
$382$	2.82883	+	1.63322i	0.144735	+	0.0835630i
$383$	−0.534935	+	0.308845i	−0.0273339	+	0.0157812i	−0.513605	−	0.858027i	$-0.671690\pi$
$383$	−0.534935	+	0.308845i	−0.0273339	+	0.0157812i	0.486271	+	0.873808i	$0.338357\pi$
$384$	17.1654	−	7.66117i	0.875969	−	0.390957i
$385$	5.41368	−	6.64274i	0.275907	−	0.338545i
$386$		−	16.5774i		−	0.843766i
$387$	3.47441	+	0.731935i	0.176614	+	0.0372064i
$388$	0.369742	−	0.640412i	0.0187708	−	0.0325120i
$389$	6.04565	+	3.49046i	0.306527	+	0.176973i	0.645371	−	0.763869i	$-0.276703\pi$
$389$	6.04565	+	3.49046i	0.306527	+	0.176973i	−0.338845	+	0.940842i	$0.610036\pi$
$390$	2.50374	+	4.70349i	0.126782	+	0.238171i
$391$			27.5041i			1.39094i
$392$	−4.04542	−	19.6354i	−0.204325	−	0.991739i
$393$	7.42618	−	3.31441i	0.374601	−	0.167190i
$394$	12.3328	+	21.3611i	0.621318	+	1.07615i
$395$	4.40017	+	2.54044i	0.221397	+	0.127823i
$396$	0.256721	+	0.785264i	0.0129007	+	0.0394610i
$397$	11.7435	+	20.3403i	0.589388	+	1.02085i	0.994313	+	0.106500i	$0.0339643\pi$
$397$	11.7435	+	20.3403i	0.589388	+	1.02085i	−0.404925	+	0.914350i	$0.632702\pi$
$398$			2.23358i			0.111959i
$399$	1.12098	+	0.303036i	0.0561190	+	0.0151708i
$400$	−18.0118			−0.900588
$401$	3.07594	+	5.32768i	0.153605	+	0.266052i	0.932550	−	0.361040i	$-0.117578\pi$
$401$	3.07594	+	5.32768i	0.153605	+	0.266052i	−0.778945	+	0.627092i	$0.784245\pi$
$402$	−25.8625	−	2.69458i	−1.28990	−	0.134393i
$403$	0.458155	+	0.679878i	0.0228223	+	0.0338671i
$404$	−0.0107085	−	0.0185476i	−0.000532767	−	0.000922780i
$405$	−5.46958	+	0.594915i	−0.271786	+	0.0295616i
$406$	23.0529	+	3.72517i	1.14409	+	0.184877i
$407$			36.9476i			1.83143i
$408$	−25.6873	−	18.6274i	−1.27171	−	0.922192i
$409$	−2.13589	+	3.69946i	−0.105613	+	0.182927i	−0.913988	−	0.405740i	$-0.867014\pi$
$409$	−2.13589	+	3.69946i	−0.105613	+	0.182927i	0.808376	+	0.588667i	$0.200347\pi$
$410$	−1.64120	+	2.84265i	−0.0810533	+	0.140388i
$411$	22.2958	+	16.1680i	1.09977	+	0.797511i
$412$			0.683510i			0.0336741i
$413$	−3.16586	−	8.32510i	−0.155782	−	0.409651i
$414$	−13.4015	−	12.0229i	−0.658646	−	0.590891i
$415$	−4.33306	−	7.50507i	−0.212701	−	0.368409i
$416$	0.592282	+	0.878916i	0.0290390	+	0.0430924i
$417$	−17.2859	−	1.80100i	−0.846496	−	0.0881953i
$418$	−0.936922	−	1.62280i	−0.0458264	−	0.0793736i
$419$	22.0324			1.07635			0.538177	−	0.842832i	$-0.319113\pi$
$419$	22.0324			1.07635			0.538177	+	0.842832i	$0.319113\pi$
$420$	0.102731	+	0.103189i	0.00501278	+	0.00503511i
$421$		−	1.74256i		−	0.0849272i	−0.999098	−	0.0424636i	$-0.986479\pi$
$421$		−	1.74256i		−	0.0849272i	0.999098	−	0.0424636i	$-0.0135206\pi$
$422$	−0.736609	−	1.27584i	−0.0358575	−	0.0621071i
$423$	5.44191	−	1.77909i	0.264595	−	0.0865022i
$424$	−7.33725	−	4.23616i	−0.356328	−	0.205726i
$425$	14.7961	+	25.6276i	0.717717	+	1.24312i
$426$	14.3900	−	6.42244i	0.697196	−	0.311168i
$427$	−33.2620	−	5.37488i	−1.60966	−	0.260109i
$428$			0.321289i			0.0155301i
$429$	29.2073	−	15.5475i	1.41014	−	0.750641i
$430$	−0.874546	−	0.504919i	−0.0421743	−	0.0243494i
$431$	1.03348	−	1.79003i	0.0497808	−	0.0862228i	−0.840061	−	0.542491i	$-0.817481\pi$
$431$	1.03348	−	1.79003i	0.0497808	−	0.0862228i	0.889842	+	0.456269i	$0.150814\pi$
$432$	19.7768	−	4.25988i	0.951513	−	0.204954i
$433$		−	10.3446i		−	0.497130i	−0.968615	−	0.248565i	$-0.920041\pi$
$433$		−	10.3446i		−	0.497130i	0.968615	−	0.248565i	$-0.0799590\pi$
$434$	−0.650884	−	0.530455i	−0.0312434	−	0.0254626i
$435$	−6.11445	+	2.72896i	−0.293165	+	0.130844i
$436$	0.689347	−	0.397995i	0.0330137	−	0.0190605i
$437$	−0.943598	−	0.544787i	−0.0451384	−	0.0260607i
$438$	3.05172	−	29.2903i	0.145817	−	1.39954i
$439$	7.84541	−	4.52955i	0.374441	−	0.216184i	−0.300956	−	0.953638i	$-0.597306\pi$
$439$	7.84541	−	4.52955i	0.374441	−	0.216184i	0.675397	+	0.737454i	$0.263972\pi$
$440$		−	9.27617i		−	0.442224i
$441$	0.0933437	−	20.9998i	0.00444494	−	0.999990i
$442$	−14.1234	+	28.9255i	−0.671784	+	1.37585i
$443$	−25.6171	+	14.7901i	−1.21711	+	0.702697i	−0.964298	−	0.264819i	$-0.914688\pi$
$443$	−25.6171	+	14.7901i	−1.21711	+	0.702697i	−0.252809	+	0.967516i	$0.581354\pi$
$444$	−0.624424	−	0.0650580i	−0.0296339	−	0.00308751i
$445$	−2.15239	+	3.72805i	−0.102033	+	0.176727i
$446$	2.29895	+	3.98190i	0.108859	+	0.188549i
$447$	17.9116	−	7.99422i	0.847191	−	0.378114i
$448$	−16.8113	−	13.7008i	−0.794258	−	0.647302i
$449$	−10.8480			−0.511947			−0.255974	−	0.966684i	$-0.582396\pi$
$449$	−10.8480			−0.511947			−0.255974	+	0.966684i	$0.582396\pi$
$450$	−18.9549	−	3.99313i	−0.893544	−	0.188238i
$451$	17.6520	+	10.1914i	0.831201	+	0.479894i
$452$	−0.276744	−	0.159778i	−0.0130170	−	0.00751534i
$453$	2.91417	−	4.01865i	0.136920	−	0.188813i
$454$		−	12.3246i		−	0.578423i
$455$	3.36185	−	4.76501i	0.157606	−	0.223387i
$456$	1.14786	−	0.512305i	0.0537533	−	0.0239909i
$457$	−4.25565	+	2.45700i	−0.199071	+	0.114934i	−0.596222	−	0.802820i	$-0.703332\pi$
$457$	−4.25565	+	2.45700i	−0.199071	+	0.114934i	0.397151	+	0.917753i	$0.369999\pi$
$458$	−12.7839	+	22.1424i	−0.597352	+	1.03464i
$459$	−22.3071	−	24.6396i	−1.04121	−	1.15008i
$460$	−0.0683124	−	0.118321i	−0.00318508	−	0.00551673i
$461$		−	27.4391i		−	1.27797i	−0.769221	−	0.638983i	$-0.779355\pi$
$461$		−	27.4391i		−	1.27797i	0.769221	−	0.638983i	$-0.220645\pi$
$462$	−24.0153	+	23.9088i	−1.11729	+	1.11234i
$463$		−	38.3413i		−	1.78187i	−0.454129	−	0.890936i	$-0.650049\pi$
$463$		−	38.3413i		−	1.78187i	0.454129	−	0.890936i	$-0.349951\pi$
$464$	21.3221	−	12.3103i	0.989853	−	0.571492i
$465$	0.239464	+	0.0249494i	0.0111049	+	0.00115700i
$466$	1.61520	+	0.932538i	0.0748229	+	0.0431990i
$467$	−6.50434	−	11.2658i	−0.300985	−	0.521321i	0.675374	−	0.737475i	$-0.263982\pi$
$467$	−6.50434	−	11.2658i	−0.300985	−	0.521321i	−0.976359	+	0.216154i	$0.930649\pi$
$468$	0.211328	+	0.520987i	0.00976864	+	0.0240826i
$469$	10.1153	+	26.5997i	0.467082	+	1.22826i
$470$	−1.62833			−0.0751093
$471$	−11.2815	+	15.5573i	−0.519826	+	0.716843i
$472$	−8.34968	−	4.82069i	−0.384325	−	0.221890i
$473$	−3.13540	+	5.43068i	−0.144166	+	0.249703i
$474$	−16.2657	−	11.7953i	−0.747111	−	0.541775i
$475$	−1.17229			−0.0537885
$476$	−0.140323	+	0.868373i	−0.00643168	+	0.0398018i
$477$	−6.60594	−	5.92639i	−0.302465	−	0.271351i
$478$	5.41650	+	9.38164i	0.247745	+	0.429106i
$479$	10.1280	+	5.84739i	0.462759	+	0.267174i	0.713204	−	0.700957i	$-0.247243\pi$
$479$	10.1280	+	5.84739i	0.462759	+	0.267174i	−0.250444	+	0.968131i	$0.580577\pi$
$480$	0.309568	+	0.0322535i	0.0141298	+	0.00147216i
$481$	1.74305	+	25.0829i	0.0794762	+	1.14368i
$482$	−1.43885			−0.0655379
$483$	−5.14216	+	19.0216i	−0.233977	+	0.865513i
$484$	−0.887331			−0.0403332
$485$	−7.53208	+	4.34865i	−0.342014	+	0.197462i
$486$	21.7568	−	0.0985104i	0.986910	−	0.00446852i
$487$	30.6998	+	17.7246i	1.39114	+	0.803177i	0.993442	−	0.114338i	$-0.0364748\pi$
$487$	30.6998	+	17.7246i	1.39114	+	0.803177i	0.397701	+	0.917515i	$0.369808\pi$
$488$	−31.5861	+	18.2363i	−1.42984	+	0.825516i
$489$	12.0602	+	27.0217i	0.545380	+	1.22196i
$490$	−1.88112	+	5.66859i	−0.0849804	+	0.256081i
$491$		−	10.2320i		−	0.461763i	−0.972982	−	0.230882i	$-0.925839\pi$
$491$		−	10.2320i		−	0.461763i	0.972982	−	0.230882i	$-0.0741610\pi$
$492$	−0.203319	+	0.280378i	−0.00916633	+	0.0126404i
$493$	−35.0309	−	20.2251i	−1.57771	−	0.910893i
$494$	−0.712613	−	1.05748i	−0.0320620	−	0.0475783i
$495$	2.00301	−	9.50805i	0.0900285	−	0.427355i
$496$	−0.885281			−0.0397503
$497$	−13.3689	−	10.8953i	−0.599676	−	0.488722i
$498$	13.9673	+	31.2947i	0.625889	+	1.40235i
$499$	−32.2543	+	18.6220i	−1.44390	+	0.833637i	−0.998107	−	0.0614985i	$-0.980412\pi$
$499$	−32.2543	+	18.6220i	−1.44390	+	0.833637i	−0.445794	+	0.895135i	$0.647079\pi$
$500$	−0.264890	−	0.152934i	−0.0118462	−	0.00683943i
$501$	−5.38788	−	0.561357i	−0.240713	−	0.0250796i
$502$	−16.3735	−	28.3597i	−0.730785	−	1.26576i
$503$	−5.85048			−0.260860			−0.130430	−	0.991458i	$-0.541636\pi$
$503$	−5.85048			−0.260860			−0.130430	+	0.991458i	$0.541636\pi$
$504$	−14.2825	−	17.6850i	−0.636193	−	0.787752i
$505$			0.251891i			0.0112090i
$506$	27.5369	−	15.8984i	1.22417	−	0.706772i
$507$	19.0947	−	11.9328i	0.848027	−	0.529952i
$508$	0.0379205	−	0.0656803i	0.00168245	−	0.00291409i
$509$	21.2894	−	12.2915i	0.943638	−	0.544810i	0.0525391	−	0.998619i	$-0.483269\pi$
$509$	21.2894	−	12.2915i	0.943638	−	0.544810i	0.891099	+	0.453809i	$0.149935\pi$
$510$	3.85268	+	8.63222i	0.170600	+	0.382241i
$511$	−30.1252	+	11.4560i	−1.33266	+	0.506784i
$512$	−23.4453			−1.03615
$513$	1.28717	−	0.277254i	0.0568300	−	0.0122411i
$514$	10.3998	−	18.0130i	0.458715	−	0.794518i
$515$	4.01948	−	6.96195i	0.177120	−	0.306780i
$516$	−0.0862589	−	0.0625515i	−0.00379733	−	0.00275367i
$517$			10.1115i			0.444702i
$518$	−9.15319	−	24.0696i	−0.402168	−	1.05756i
$519$	−4.21259	+	1.88014i	−0.184912	+	0.0825289i
$520$	−0.437615	−	6.29739i	−0.0191907	−	0.276159i
$521$	18.0672	−	31.2933i	0.791538	−	1.37098i	−0.133477	−	0.991052i	$-0.542614\pi$
$521$	18.0672	−	31.2933i	0.791538	−	1.37098i	0.925015	−	0.379931i	$-0.124052\pi$
$522$	25.1678	−	8.22792i	1.10156	−	0.360126i
$523$	12.8468	−	7.41710i	0.561751	−	0.324327i	−0.192097	−	0.981376i	$-0.561529\pi$
$523$	12.8468	−	7.41710i	0.561751	−	0.324327i	0.753848	+	0.657049i	$0.228195\pi$
$524$	−0.244040			−0.0106609
$525$	5.44153	+	20.4901i	0.237488	+	0.894261i
$526$			25.9791i			1.13274i
$527$	0.727232	+	1.25960i	0.0316787	+	0.0548691i
$528$	−3.70249	+	35.5363i	−0.161130	+	1.54652i
$529$	−2.25563	+	3.90686i	−0.0980707	+	0.169863i
$530$	1.26202	+	2.18588i	0.0548185	+	0.0949485i
$531$	−7.51746	−	6.74414i	−0.326230	−	0.292671i
$532$	−0.0270123	−	0.0220144i	−0.00117113	−	0.000954444i
$533$	12.4644	+	6.08596i	0.539892	+	0.263612i
$534$	9.99356	−	13.7812i	0.432464	−	0.596370i
$535$	1.88939	−	3.27251i	0.0816853	−	0.141483i
$536$	26.6782	+	15.4027i	1.15232	+	0.665295i
$537$	−26.8576	+	37.0368i	−1.15899	+	1.59826i
$538$	22.3632			0.964145
$539$	35.2003	+	11.6812i	1.51618	+	0.503146i
$540$	0.157161	+	0.0505932i	0.00676315	+	0.00217719i
$541$	−32.9004	+	18.9950i	−1.41450	+	0.816661i	−0.995808	−	0.0914689i	$-0.970844\pi$
$541$	−32.9004	+	18.9950i	−1.41450	+	0.816661i	−0.418690	+	0.908129i	$0.637510\pi$
$542$	7.39972	−	12.8167i	0.317845	−	0.550524i
$543$	12.2830	+	1.27975i	0.527113	+	0.0549193i
$544$	0.940132	+	1.62836i	0.0403078	+	0.0698152i
$545$	−9.36186			−0.401018
$546$	−15.1756	+	17.3641i	−0.649454	+	0.743116i
$547$	16.9980			0.726783			0.363391	−	0.931637i	$-0.381619\pi$
$547$	16.9980			0.726783			0.363391	+	0.931637i	$0.381619\pi$
$548$	−0.413238	−	0.715750i	−0.0176527	−	0.0305753i
$549$	−36.3134	+	11.8717i	−1.54982	+	0.506672i
$550$	17.1054	−	29.6275i	0.729378	−	1.26332i
$551$	1.38774	−	0.801215i	0.0591199	−	0.0341329i
$552$	8.69320	+	19.4777i	0.370007	+	0.829028i
$553$	−3.50789	+	21.7083i	−0.149171	+	0.923129i
$554$	24.1784			1.02724
$555$	5.97753	+	4.33467i	0.253732	+	0.183996i
$556$	0.451666	+	0.260770i	0.0191549	+	0.0110591i
$557$	−19.6161	+	33.9761i	−0.831162	+	1.43961i	0.0659552	+	0.997823i	$0.478991\pi$
$557$	−19.6161	+	33.9761i	−0.831162	+	1.43961i	−0.897117	+	0.441792i	$0.854343\pi$
$558$	−0.931638	−	0.196263i	−0.0394394	−	0.00830848i
$559$	−1.87236	+	3.83468i	−0.0791923	+	0.162190i
$560$	2.23826	+	5.88584i	0.0945838	+	0.248722i
$561$	53.6036	−	23.9240i	2.26314	−	1.01007i
$562$	−4.14528	−	7.17984i	−0.174858	−	0.302863i
$563$	21.6399	−	37.4814i	0.912013	−	1.57965i	0.100798	−	0.994907i	$-0.467861\pi$
$563$	21.6399	−	37.4814i	0.912013	−	1.57965i	0.811216	−	0.584747i	$-0.198806\pi$
$564$	−0.170886	−	0.0178044i	−0.00719560	−	0.000749701i
$565$	1.87920	+	3.25487i	0.0790585	+	0.136933i
$566$			31.0305i			1.30431i
$567$	−10.8208	−	21.2111i	−0.454431	−	0.890782i
$568$	−18.6688			−0.783326
$569$	13.6713	−	7.89310i	0.573129	−	0.330896i	−0.185269	−	0.982688i	$-0.559316\pi$
$569$	13.6713	−	7.89310i	0.573129	−	0.330896i	0.758398	+	0.651792i	$0.225982\pi$
$570$	−0.372462	−	0.0388063i	−0.0156007	−	0.00162542i
$571$	−6.44955	+	11.1709i	−0.269905	+	0.467489i	−0.968837	−	0.247699i	$-0.920326\pi$
$571$	−6.44955	+	11.1709i	−0.269905	+	0.467489i	0.698932	+	0.715188i	$0.253659\pi$
$572$	−0.990535	+	0.0688337i	−0.0414164	+	0.00287808i
$573$	−1.65209	−	3.70164i	−0.0690172	−	0.154638i
$574$	−14.0242	−	2.26621i	−0.585360	−	0.0945897i
$575$		−	19.8924i		−	0.829570i
$576$	−24.0627	−	5.06916i	−1.00261	−	0.211215i
$577$	−3.83077	+	6.63508i	−0.159477	+	0.276222i	−0.934680	−	0.355490i	$-0.884314\pi$
$577$	−3.83077	+	6.63508i	−0.159477	+	0.276222i	0.775203	+	0.631712i	$0.217647\pi$
$578$	−16.6897	+	28.9074i	−0.694199	+	1.20239i
$579$	−12.0769	+	16.6541i	−0.501899	+	0.692122i
$580$	0.200933			0.00834331
$581$	23.6947	−	29.0741i	0.983023	−	1.20620i
$582$	31.4073	−	14.0175i	1.30188	−	0.581046i
$583$	13.5737	−	7.83676i	0.562164	−	0.324566i
$584$	−17.4442	+	30.2142i	−0.721845	+	1.25027i
$585$	0.911244	−	6.54930i	0.0376753	−	0.270780i
$586$	−8.21518	+	4.74303i	−0.339366	+	0.195933i
$587$			8.55584i			0.353137i	0.984288	+	0.176569i	$0.0564998\pi$
$587$			8.55584i			0.353137i	−0.984288	+	0.176569i	$0.943500\pi$
$588$	−0.259397	+	0.574324i	−0.0106973	+	0.0236847i
$589$	−0.0576184			−0.00237412
$590$	1.43616	+	2.48750i	0.0591257	+	0.102409i
$591$	3.17199	−	30.4447i	0.130478	−	1.25233i
$592$	−23.5129	−	13.5752i	−0.966375	−	0.557937i
$593$	34.6087	−	19.9814i	1.42121	−	0.820536i	0.424807	−	0.905284i	$-0.360342\pi$
$593$	34.6087	−	19.9814i	1.42121	−	0.820536i	0.996402	+	0.0847480i	$0.0270085\pi$
$594$	−11.7746	+	36.5764i	−0.483119	+	1.50075i
$595$	6.53586	−	8.01970i	0.267944	−	0.328775i
$596$	−0.588614			−0.0241106
$597$	1.62720	−	2.24392i	0.0665970	−	0.0918376i
$598$	17.9442	−	12.0922i	0.733792	−	0.494486i
$599$	−18.1081	−	10.4547i	−0.739877	−	0.427168i	0.0821478	−	0.996620i	$-0.473822\pi$
$599$	−18.1081	−	10.4547i	−0.739877	−	0.427168i	−0.822024	+	0.569452i	$0.807155\pi$
$600$	18.5783	+	13.4723i	0.758457	+	0.550002i
$601$			35.0469i			1.42959i	0.699332	+	0.714797i	$0.253481\pi$
$601$			35.0469i			1.42959i	−0.699332	+	0.714797i	$0.746519\pi$
$602$	0.697203	−	4.31458i	0.0284159	−	0.175849i
$603$	24.0192	+	21.5483i	0.978137	+	0.877516i
$604$	−0.129008	+	0.0744831i	−0.00524928	+	0.00303067i
$605$	9.03797	+	5.21808i	0.367446	+	0.212145i
$606$	0.103224	−	0.990743i	0.00419320	−	0.0402462i
$607$	11.1151	−	6.41731i	0.451148	−	0.260470i	−0.257167	−	0.966367i	$-0.582789\pi$
$607$	11.1151	−	6.41731i	0.451148	−	0.260470i	0.708315	+	0.705897i	$0.249456\pi$
$608$	−0.0744864			−0.00302082
$609$	−20.4458	−	20.5369i	−0.828505	−	0.832195i
$610$	10.8657			0.439940
$611$	0.477020	+	6.86445i	0.0192982	+	0.277706i
$612$	0.309936	+	0.948039i	0.0125284	+	0.0383222i
$613$	−7.75091	−	4.47499i	−0.313056	−	0.180743i	0.335237	−	0.942134i	$-0.391184\pi$
$613$	−7.75091	−	4.47499i	−0.313056	−	0.180743i	−0.648293	+	0.761391i	$0.724517\pi$
$614$	−17.5696	−	30.4314i	−0.709051	−	1.22811i
$615$	3.71973	−	1.66017i	0.149994	−	0.0669444i
$616$	37.5252	−	14.2701i	1.51193	−	0.574957i
$617$	−32.7471			−1.31835			−0.659173	−	0.751991i	$-0.729094\pi$
$617$	−32.7471			−1.31835			−0.659173	+	0.751991i	$0.729094\pi$
$618$	−18.6625	+	25.7357i	−0.750715	+	1.03524i
$619$	−2.42018	+	4.19187i	−0.0972751	+	0.168485i	−0.910556	−	0.413386i	$-0.864346\pi$
$619$	−2.42018	+	4.19187i	−0.0972751	+	0.168485i	0.813281	+	0.581871i	$0.197679\pi$
$620$	−0.00625698	−	0.00361247i	−0.000251286	−	0.000145080i
$621$	4.70466	+	21.8418i	0.188792	+	0.876480i
$622$	12.6731			0.508145
$623$	−18.3923	−	2.97207i	−0.736874	−	0.119073i
$624$	−0.837068	+	24.2995i	−0.0335096	+	0.972759i
$625$	−9.76703	−	16.9170i	−0.390681	−	0.676680i
$626$	−2.75858	−	1.59267i	−0.110255	−	0.0636559i
$627$	−0.240976	+	2.31288i	−0.00962365	+	0.0923674i
$628$	0.499427	−	0.288344i	0.0199293	−	0.0115062i
$629$			44.6064i			1.77857i
$630$	1.05060	+	6.69026i	0.0418570	+	0.266546i
$631$		−	28.4404i		−	1.13219i	−0.824339	−	0.566097i	$-0.808453\pi$
$631$		−	28.4404i		−	1.13219i	0.824339	−	0.566097i	$-0.191547\pi$
$632$	11.9018	+	20.6145i	0.473428	+	0.820002i
$633$	−0.189455	+	1.81839i	−0.00753017	+	0.0722743i
$634$	0.131130	−	0.227124i	0.00520785	−	0.00902026i
$635$	−0.772484	+	0.445994i	−0.0306551	+	0.0176987i
$636$	0.108542	+	0.243197i	0.00430399	+	0.00964340i
$637$	24.4478	+	6.26951i	0.968656	+	0.248407i
$638$			46.7635i			1.85139i
$639$	−19.1355	−	4.03116i	−0.756987	−	0.159470i
$640$	5.74560	+	3.31722i	0.227115	+	0.131125i
$641$	−22.1719	−	12.8009i	−0.875736	−	0.505606i	−0.00648579	−	0.999979i	$-0.502065\pi$
$641$	−22.1719	−	12.8009i	−0.875736	−	0.505606i	−0.869250	+	0.494373i	$0.835398\pi$
$642$	−8.77243	+	12.0972i	−0.346220	+	0.477440i
$643$	−15.5299			−0.612438			−0.306219	−	0.951961i	$-0.599064\pi$
$643$	−15.5299			−0.612438			−0.306219	+	0.951961i	$0.599064\pi$
$644$	0.373557	−	0.458366i	0.0147202	−	0.0180621i
$645$	0.510753	+	1.14438i	0.0201109	+	0.0450599i
$646$	−1.13113	−	1.95918i	−0.0445039	−	0.0770830i
$647$	−4.96931	+	8.60711i	−0.195364	+	0.338380i	−0.947020	−	0.321175i	$-0.895922\pi$
$647$	−4.96931	+	8.60711i	−0.195364	+	0.338380i	0.751656	+	0.659556i	$0.229255\pi$
$648$	−23.5852	−	10.3986i	−0.926513	−	0.408495i
$649$	15.4466	−	8.91812i	0.606334	−	0.350067i
$650$	10.2148	−	20.9204i	0.400657	−	0.820566i
$651$	0.267452	+	1.00709i	0.0104823	+	0.0394711i
$652$		−	0.887990i		−	0.0347764i
$653$	33.6494	−	19.4275i	1.31680	−	0.760256i	0.333590	−	0.942718i	$-0.391740\pi$
$653$	33.6494	−	19.4275i	1.31680	−	0.760256i	0.983213	+	0.182462i	$0.0584066\pi$
$654$	36.8222	+	3.83646i	1.43986	+	0.150018i
$655$	2.48569	+	1.43511i	0.0971238	+	0.0560744i
$656$	−12.9713	+	7.48898i	−0.506444	+	0.292396i
$657$	−24.4044	+	27.2027i	−0.952105	+	1.06128i
$658$	−2.50495	−	6.58714i	−0.0976533	−	0.256794i
$659$			17.6554i			0.687756i	0.939014	+	0.343878i	$0.111741\pi$
$659$			17.6554i			0.687756i	−0.939014	+	0.343878i	$0.888259\pi$
$660$	−0.171178	+	0.236055i	−0.00666309	+	0.00918844i
$661$	−19.0185	+	32.9410i	−0.739733	+	1.28126i	0.212882	+	0.977078i	$0.431715\pi$
$661$	−19.0185	+	32.9410i	−0.739733	+	1.28126i	−0.952615	+	0.304178i	$0.901618\pi$
$662$	25.6634	+	14.8168i	0.997436	+	0.575870i
$663$	35.2616	−	18.7703i	1.36945	−	0.728979i
$664$		−	40.6002i		−	1.57559i
$665$	0.145677	+	0.383079i	0.00564911	+	0.0148552i
$666$	−21.7346	−	19.4988i	−0.842199	−	0.755562i
$667$	13.5957	+	23.5484i	0.526426	+	0.911796i
$668$	0.140781	+	0.0812798i	0.00544697	+	0.00314481i
$669$	0.591289	−	5.67517i	0.0228606	−	0.219415i
$670$	−4.58870	−	7.94786i	−0.177277	−	0.307052i
$671$		−	67.4730i		−	2.60477i
$672$	0.345750	+	1.30192i	0.0133376	+	0.0502228i
$673$	29.5036			1.13728			0.568639	−	0.822587i	$-0.307470\pi$
$673$	29.5036			1.13728			0.568639	+	0.822587i	$0.307470\pi$
$674$	−14.8030	−	25.6396i	−0.570191	−	0.987599i
$675$	16.1337	+	17.8206i	0.620985	+	0.685917i
$676$	−0.669205	+	0.0934594i	−0.0257387	+	0.00359459i
$677$	16.7042	+	28.9325i	0.641994	+	1.11197i	0.984987	+	0.172628i	$0.0552259\pi$
$677$	16.7042	+	28.9325i	0.641994	+	1.11197i	−0.342993	+	0.939338i	$0.611441\pi$
$678$	−6.05746	−	13.5722i	−0.232635	−	0.521237i
$679$	−29.1787	−	23.7800i	−1.11978	−	0.912592i
$680$		−	11.1990i		−	0.429462i
$681$	−8.97870	+	12.3817i	−0.344065	+	0.474467i
$682$	0.840735	−	1.45620i	0.0321934	−	0.0557606i
$683$	−4.11356	+	7.12490i	−0.157401	+	0.272627i	−0.933931	−	0.357454i	$-0.883645\pi$
$683$	−4.11356	+	7.12490i	−0.157401	+	0.272627i	0.776530	+	0.630081i	$0.216978\pi$
$684$	−0.0386639	−	0.00814510i	−0.00147835	−	0.000311436i
$685$			9.72043i			0.371399i
$686$	−25.8252	+	1.11054i	−0.986009	+	0.0424006i
$687$	28.9742	−	12.9316i	1.10544	−	0.493371i
$688$	−2.30400	−	3.99064i	−0.0878391	−	0.152142i
$689$	8.84516	−	5.96056i	0.336974	−	0.227079i
$690$	0.658496	−	6.32022i	0.0250685	−	0.240607i
$691$	17.2978	+	29.9606i	0.658039	+	1.13976i	0.981123	+	0.193386i	$0.0619471\pi$
$691$	17.2978	+	29.9606i	0.658039	+	1.13976i	−0.323084	+	0.946370i	$0.604720\pi$
$692$	0.138434			0.00526249
$693$	41.5446	−	6.52394i	1.57815	−	0.247824i
$694$			10.1341i			0.384685i
$695$	−3.06699	−	5.31218i	−0.116337	−	0.201502i
$696$	−31.2005	−	3.25074i	−1.18265	−	0.123219i
$697$	21.3111	+	12.3039i	0.807214	+	0.466045i
$698$	6.23432	+	10.7982i	0.235972	+	0.408716i
$699$	−0.943313	−	2.11356i	−0.0356794	−	0.0799423i
$700$	0.101488	−	0.628052i	0.00383590	−	0.0237381i
$701$		−	4.51184i		−	0.170410i	−0.996363	−	0.0852050i	$-0.972845\pi$
$701$		−	4.51184i		−	0.170410i	0.996363	−	0.0852050i	$-0.0271545\pi$
$702$	−6.26800	+	25.3864i	−0.236570	+	0.958147i
$703$	−1.53033	−	0.883539i	−0.0577176	−	0.0333233i
$704$	21.7148	−	37.6112i	0.818409	−	1.41753i
$705$	1.63587	+	1.18627i	0.0616105	+	0.0446775i
$706$		−	19.8494i		−	0.747040i
$707$	−1.01898	+	0.387499i	−0.0383228	+	0.0145734i
$708$	0.123520	+	0.276755i	0.00464215	+	0.0104011i
$709$	41.6758	−	24.0615i	1.56517	−	0.903649i	0.568446	−	0.822720i	$-0.307545\pi$
$709$	41.6758	−	24.0615i	1.56517	−	0.903649i	0.996720	−	0.0809288i	$-0.0257886\pi$
$710$	4.81660	+	2.78086i	0.180764	+	0.104364i
$711$	7.74801	+	23.6998i	0.290573	+	0.888811i
$712$	−17.4657	+	10.0838i	−0.654554	+	0.377907i
$713$		−	0.977714i		−	0.0366157i
$714$	−28.9934	+	28.8648i	−1.08505	+	1.08024i
$715$	10.4940	+	5.12388i	0.392452	+	0.191622i
$716$	1.18897	−	0.686453i	0.0444339	−	0.0256540i
$717$	1.39312	−	13.3711i	0.0520270	−	0.499353i
$718$	−14.8131	+	25.6570i	−0.552818	+	0.957509i
$719$	−1.88336	−	3.26208i	−0.0702376	−	0.121655i	0.828768	−	0.559593i	$-0.189042\pi$
$719$	−1.88336	−	3.26208i	−0.0702376	−	0.121655i	−0.899005	+	0.437938i	$0.855709\pi$
$720$	5.31484	+	4.76810i	0.198072	+	0.177697i
$721$	34.3468	+	5.55019i	1.27914	+	0.206700i
$722$	−26.4290			−0.983585
$723$	1.44551	+	1.04823i	0.0537593	+	0.0389841i
$724$	−0.320944	−	0.185297i	−0.0119278	−	0.00688651i
$725$	25.3361	+	14.6278i	0.940960	+	0.543263i
$726$	−33.4099	−	24.2276i	−1.23996	−	0.899169i
$727$			16.5111i			0.612364i	0.951973	+	0.306182i	$0.0990517\pi$
$727$			16.5111i			0.612364i	−0.951973	+	0.306182i	$0.900948\pi$
$728$	24.8018	−	11.4579i	0.919217	−	0.424659i
$729$	−21.9294	−	15.7513i	−0.812199	−	0.583381i
$730$	9.00127	−	5.19689i	0.333152	−	0.192345i
$731$	−3.78533	+	6.55639i	−0.140006	+	0.242497i
$732$	1.14031	+	0.118807i	0.0421471	+	0.00439125i
$733$	−10.6248	−	18.4026i	−0.392435	−	0.679717i	0.600335	−	0.799748i	$-0.295034\pi$
$733$	−10.6248	−	18.4026i	−0.392435	−	0.679717i	−0.992770	+	0.120031i	$0.961700\pi$
$734$			13.7707i			0.508285i
$735$	6.01950	−	4.32441i	0.222033	−	0.159508i
$736$		−	1.26395i		−	0.0465896i
$737$	−49.3539	+	28.4945i	−1.81797	+	1.04961i
$738$	−15.3108	+	5.00546i	−0.563599	+	0.184254i
$739$	−15.3472	−	8.86071i	−0.564556	−	0.325946i	0.190416	−	0.981703i	$-0.439016\pi$
$739$	−15.3472	−	8.86071i	−0.564556	−	0.325946i	−0.754972	+	0.655757i	$0.772350\pi$
$740$	−0.110790	−	0.191893i	−0.00407271	−	0.00705413i
$741$	−0.0544805	+	1.58153i	−0.00200139	+	0.0580990i
$742$	−6.90117	+	8.46794i	−0.253350	+	0.310868i
$743$	−4.99199			−0.183138			−0.0915692	−	0.995799i	$-0.529188\pi$
$743$	−4.99199			−0.183138			−0.0915692	+	0.995799i	$0.529188\pi$
$744$	0.913128	+	0.662164i	0.0334769	+	0.0242761i
$745$	5.99537	+	3.46143i	0.219653	+	0.126817i
$746$	4.76296	−	8.24969i	0.174384	−	0.302043i
$747$	8.76682	−	41.6151i	0.320761	−	1.52262i
$748$	−1.76152			−0.0644077
$749$	16.1450	+	2.60890i	0.589924	+	0.0953273i
$750$	−5.79799	−	12.9908i	−0.211713	−	0.474358i
$751$	15.6605	+	27.1247i	0.571459	+	0.989796i	0.996416	+	0.0845825i	$0.0269557\pi$
$751$	15.6605	+	27.1247i	0.571459	+	0.989796i	−0.424958	+	0.905213i	$0.639711\pi$
$752$	−6.43478	−	3.71512i	−0.234652	−	0.135477i
$753$	−4.21125	+	40.4194i	−0.153467	+	1.47297i
$754$	2.20612	+	31.7467i	0.0803423	+	1.15615i
$755$	1.75203			0.0637630
$756$	0.0371039	+	0.713601i	0.00134945	+	0.0259534i
$757$	6.10098			0.221744			0.110872	−	0.993835i	$-0.464636\pi$
$757$	6.10098			0.221744			0.110872	+	0.993835i	$0.464636\pi$
$758$	11.6672	−	6.73609i	0.423774	−	0.244666i
$759$	−39.2468	−	4.08907i	−1.42457	−	0.148424i
$760$	0.384210	+	0.221824i	0.0139368	+	0.00804639i
$761$	−46.9258	+	27.0926i	−1.70106	+	0.982106i	−0.756366	+	0.654149i	$0.773027\pi$
$761$	−46.9258	+	27.0926i	−1.70106	+	0.982106i	−0.944693	+	0.327957i	$0.893640\pi$
$762$	3.22111	−	1.43763i	0.116689	−	0.0520798i
$763$	−14.4019	−	37.8719i	−0.521383	−	1.37105i
$764$			0.121644i			0.00440091i
$765$	2.41820	−	11.4789i	0.0874304	−	0.415022i
$766$	0.746618	+	0.431060i	0.0269764	+	0.0155748i
$767$	10.0657	−	6.78303i	0.363450	−	0.244921i
$768$	1.74795	+	1.26754i	0.0630738	+	0.0457386i
$769$	17.5752			0.633777			0.316888	−	0.948463i	$-0.397362\pi$
$769$	17.5752			0.633777			0.316888	+	0.948463i	$0.397362\pi$
$770$	−11.8072	−	1.90796i	−0.425503	−	0.0687581i
$771$	−23.5707	+	10.5200i	−0.848879	+	0.378867i
$772$	0.534638	−	0.308673i	0.0192420	−	0.0111094i
$773$	−24.2049	−	13.9747i	−0.870589	−	0.502635i	−0.00304507	−	0.999995i	$-0.500969\pi$
$773$	−24.2049	−	13.9747i	−0.870589	−	0.502635i	−0.867544	+	0.497361i	$0.834303\pi$
$774$	−1.53994	−	4.71040i	−0.0553520	−	0.169312i
$775$	−0.525971	−	0.911008i	−0.0188934	−	0.0327244i
$776$	−40.7463			−1.46271
$777$	−8.33960	+	30.8494i	−0.299181	+	1.10672i
$778$		−	9.74338i		−	0.349317i
$779$	−0.844235	+	0.487419i	−0.0302479	+	0.0174636i
$780$	−0.105073	+	0.168328i	−0.00376220	+	0.00602712i
$781$	17.2683	−	29.9097i	0.617910	−	1.07025i
$782$	33.2450	−	19.1940i	1.18884	−	0.686376i
$783$	−31.2785	−	10.0691i	−1.11780	−	0.359842i
$784$	−20.3669	+	18.1090i	−0.727390	+	0.646751i
$785$	−6.78260			−0.242081
$786$	−9.18863	−	6.66323i	−0.327748	−	0.237669i
$787$	16.8958	−	29.2644i	0.602271	−	1.04316i	−0.390205	−	0.920728i	$-0.627596\pi$
$787$	16.8958	−	29.2644i	0.602271	−	1.04316i	0.992476	−	0.122436i	$-0.0390707\pi$
$788$	−0.459278	+	0.795493i	−0.0163611	+	0.0283382i
$789$	18.9263	−	26.0994i	0.673793	−	0.929165i
$790$		−	7.09146i		−	0.252303i
$791$	−10.2762	+	12.6091i	−0.365378	+	0.448329i
$792$	30.3991	−	33.8848i	1.08018	−	1.20404i
$793$	−3.18312	−	45.8059i	−0.113036	−	1.62662i
$794$	16.3905	−	28.3893i	0.581679	−	1.00750i
$795$	0.324590	−	3.11540i	0.0115120	−	0.110492i
$796$	−0.0720353	+	0.0415896i	−0.00255322	+	0.00147410i
$797$	−26.1108			−0.924891			−0.462445	−	0.886648i	$-0.653028\pi$
$797$	−26.1108			−0.924891			−0.462445	+	0.886648i	$0.653028\pi$
$798$	−0.415994	−	1.56643i	−0.0147260	−	0.0554510i
$799$			12.2074i			0.431868i
$800$	−0.679951	−	1.17771i	−0.0240399	−	0.0416383i
$801$	−20.0797	+	6.56451i	−0.709481	+	0.231946i
$802$	4.29314	−	7.43593i	0.151596	−	0.262572i
$803$	−32.2712	−	55.8953i	−1.13882	−	1.97250i
$804$	−0.394660	−	0.884266i	−0.0139186	−	0.0311857i
$805$	−6.50038	+	2.47196i	−0.229108	+	0.0871252i
$806$	0.502059	−	1.02824i	0.0176843	−	0.0362183i
$807$	−22.4667	−	16.2920i	−0.790867	−	0.573505i
$808$	−0.590048	+	1.02199i	−0.0207578	+	0.0359536i
$809$	12.7232	+	7.34575i	0.447325	+	0.258263i	0.706700	−	0.707514i	$-0.250183\pi$
$809$	12.7232	+	7.34575i	0.447325	+	0.258263i	−0.259375	+	0.965777i	$0.583517\pi$
$810$	4.53608	+	6.19606i	0.159382	+	0.217707i
$811$	−2.00604			−0.0704415			−0.0352208	−	0.999380i	$-0.511213\pi$
$811$	−2.00604			−0.0704415			−0.0352208	+	0.999380i	$0.511213\pi$
$812$	0.309107	+	0.812843i	0.0108475	+	0.0285252i
$813$	−16.7712	+	7.48522i	−0.588191	+	0.262518i
$814$	44.6596	−	25.7842i	1.56532	−	0.903736i
$815$	−5.22196	+	9.04469i	−0.182917	+	0.316822i
$816$	−4.46997	+	42.9026i	−0.156480	+	1.50189i
$817$	−0.149955	−	0.259730i	−0.00524628	−	0.00908682i
$818$	5.96218			0.208463
$819$	27.8959	−	6.38887i	0.974762	−	0.223245i
$820$	−0.122238			−0.00426873
$821$	20.6223	+	35.7188i	0.719721	+	1.24659i	0.961110	+	0.276166i	$0.0890638\pi$
$821$	20.6223	+	35.7188i	0.719721	+	1.24659i	−0.241389	+	0.970429i	$0.577603\pi$
$822$	3.98340	−	38.2326i	0.138937	−	1.33351i
$823$	20.4970	−	35.5019i	0.714481	−	1.23752i	−0.248679	−	0.968586i	$-0.579996\pi$
$823$	20.4970	−	35.5019i	0.714481	−	1.23752i	0.963159	−	0.268931i	$-0.0866704\pi$
$824$	32.6163	−	18.8310i	1.13624	−	0.656010i
$825$	−38.7688	+	17.3031i	−1.34976	+	0.602416i
$826$	−7.85343	+	9.63639i	−0.273256	+	0.335293i
$827$	9.94898			0.345960			0.172980	−	0.984925i	$-0.444660\pi$
$827$	9.94898			0.345960			0.172980	+	0.984925i	$0.444660\pi$
$828$	0.138213	−	0.656079i	0.00480322	−	0.0228003i
$829$	−20.0570	−	11.5799i	−0.696607	−	0.402187i	0.109475	−	0.993990i	$-0.465083\pi$
$829$	−20.0570	−	11.5799i	−0.696607	−	0.402187i	−0.806083	+	0.591803i	$0.798416\pi$
$830$	−6.04771	+	10.4749i	−0.209919	+	0.363591i
$831$	−24.2904	−	17.6144i	−0.842625	−	0.611038i
$832$	12.9674	−	26.5578i	0.449563	−	0.920728i
$833$	42.4968	+	14.1026i	1.47243	+	0.488626i
$834$	9.88621	+	22.1508i	0.342331	+	0.767019i
$835$	−0.955955	−	1.65576i	−0.0330822	−	0.0573000i
$836$	0.0348913	−	0.0604335i	0.00120674	−	0.00209014i
$837$	0.792972	+	0.875888i	0.0274091	+	0.0302751i
$838$	−15.3755	−	26.6312i	−0.531138	−	0.919958i
$839$		−	14.8268i		−	0.511879i	−0.966693	−	0.255940i	$-0.917615\pi$
$839$		−	14.8268i		−	0.511879i	0.966693	−	0.255940i	$-0.0823848\pi$
$840$	2.09376	−	7.74513i	0.0722416	−	0.267232i
$841$	−10.9901			−0.378969
$842$	−2.10628	+	1.21606i	−0.0725871	+	0.0419082i
$843$	−1.06616	+	10.2330i	−0.0367206	+	0.352443i
$844$	0.0274315	−	0.0475128i	0.000944233	−	0.00163546i
$845$	7.36584	+	2.98342i	0.253393	+	0.102633i
$846$	−5.94811	−	5.33623i	−0.204500	−	0.183463i
$847$	−7.20523	+	44.5889i	−0.247575	+	1.53209i
$848$			11.5174i			0.395510i
$849$	22.6063	−	31.1743i	0.775847	−	1.06990i
$850$	20.6512	−	35.7689i	0.708329	−	1.22686i
$851$	14.9926	−	25.9679i	0.513939	−	0.890169i
$852$	0.475074	+	0.344505i	0.0162758	+	0.0118025i
$853$	6.01677			0.206010			0.103005	−	0.994681i	$-0.467154\pi$
$853$	6.01677			0.206010			0.103005	+	0.994681i	$0.467154\pi$
$854$	16.7154	+	43.9555i	0.571988	+	1.50413i
$855$	0.345915	+	0.310331i	0.0118301	+	0.0106131i
$856$	15.3315	−	8.85166i	0.524021	−	0.302543i
$857$	−1.00768	+	1.74536i	−0.0344219	+	0.0596204i	−0.882723	−	0.469893i	$-0.844292\pi$
$857$	−1.00768	+	1.74536i	−0.0344219	+	0.0596204i	0.848301	+	0.529514i	$0.177626\pi$
$858$	−39.1752	−	24.4537i	−1.33742	−	0.834835i
$859$	−20.5220	+	11.8484i	−0.700201	+	0.404261i	−0.807422	−	0.589974i	$-0.799138\pi$
$859$	−20.5220	+	11.8484i	−0.700201	+	0.404261i	0.107221	+	0.994235i	$0.465805\pi$
$860$		−	0.0376067i		−	0.00128238i
$861$	12.4382	+	12.4936i	0.423893	+	0.425781i
$862$	−2.88488			−0.0982593
$863$	−23.6286	−	40.9260i	−0.804328	−	1.39314i	−0.916744	−	0.399476i	$-0.869192\pi$
$863$	−23.6286	−	40.9260i	−0.804328	−	1.39314i	0.112416	−	0.993661i	$-0.464141\pi$
$864$	1.02512	+	1.13231i	0.0348752	+	0.0385219i
$865$	−1.41003	−	0.814084i	−0.0479426	−	0.0276797i
$866$	−12.5038	+	7.21907i	−0.424896	+	0.245314i
$867$	37.8265	−	16.8825i	1.28466	−	0.573360i
$868$	0.00498818	−	0.0308688i	0.000169310	−	0.00104776i
$869$	−44.0359			−1.49382
$870$	7.56559	+	5.48626i	0.256497	+	0.186002i
$871$	−32.1610	+	21.6726i	−1.08973	+	0.734348i
$872$	−37.9837	−	21.9299i	−1.28629	−	0.742639i
$873$	−41.7648	−	8.79836i	−1.41353	−	0.297779i
$874$			1.52073i			0.0514396i
$875$	−9.83598	+	12.0690i	−0.332517	+	0.408008i
$876$	1.00147	−	0.446969i	0.0338364	−	0.0151017i
$877$	−17.6588	+	10.1953i	−0.596297	+	0.344272i	−0.767583	−	0.640949i	$-0.778541\pi$
$877$	−17.6588	+	10.1953i	−0.596297	+	0.344272i	0.171287	+	0.985221i	$0.445208\pi$
$878$	−10.9500	−	6.32197i	−0.369544	−	0.213356i
$879$	11.7086	+	1.21991i	0.394922	+	0.0411464i
$880$	−10.9208	+	6.30510i	−0.368139	+	0.212545i
$881$	−25.5787			−0.861768			−0.430884	−	0.902407i	$-0.641798\pi$
$881$	−25.5787			−0.861768			−0.430884	+	0.902407i	$0.641798\pi$
$882$	−25.4481	+	14.5420i	−0.856883	+	0.489656i
$883$	−15.6631			−0.527106			−0.263553	−	0.964645i	$-0.584894\pi$
$883$	−15.6631			−0.527106			−0.263553	+	0.964645i	$0.584894\pi$
$884$	−1.19586	+	0.0831020i	−0.0402211	+	0.00279502i
$885$	0.369379	−	3.54528i	0.0124165	−	0.119173i
$886$	35.7542	+	20.6427i	1.20119	+	0.693506i
$887$	15.7043	+	27.2006i	0.527298	+	0.913307i	0.999494	+	0.0318132i	$0.0101282\pi$
$887$	15.7043	+	27.2006i	0.527298	+	0.913307i	−0.472196	+	0.881494i	$0.656539\pi$
$888$	14.0987	+	31.5891i	0.473121	+	1.06006i
$889$	−2.99255	−	2.43886i	−0.100367	−	0.0817967i
$890$	6.00825			0.201397
$891$	38.4757	−	28.1677i	1.28898	−	0.943655i
$892$	−0.0856138	+	0.148287i	−0.00286656	+	0.00496503i
$893$	−0.418807	−	0.241798i	−0.0140148	−	0.00809147i
$894$	−22.1626	−	16.0714i	−0.741228	−	0.537509i
$895$	−16.1471			−0.539740
$896$	−4.58049	+	28.3459i	−0.153023	+	0.946971i
$897$	−26.8367	−	0.924468i	−0.896050	−	0.0308671i
$898$	7.57034	+	13.1122i	0.252626	+	0.437560i
$899$	1.24527	+	0.718960i	0.0415322	+	0.0239786i
$900$	−0.224161	−	0.685670i	−0.00747204	−	0.0228557i
$901$	16.3873	−	9.46122i	0.545941	−	0.315199i
$902$		−	28.4486i		−	0.947235i
$903$	−3.84368	+	3.82663i	−0.127910	+	0.127342i
$904$			17.6079i			0.585629i
$905$	2.17933	+	3.77471i	0.0724434	+	0.125476i
$906$	−6.89113	−	0.717978i	−0.228942	−	0.0238532i
$907$	−26.1019	+	45.2098i	−0.866699	+	1.50117i	−0.00134835	+	0.999999i	$0.500429\pi$
$907$	−26.1019	+	45.2098i	−0.866699	+	1.50117i	−0.865350	+	0.501167i	$0.832904\pi$
$908$	0.397482	−	0.229486i	0.0131909	−	0.00761577i
$909$	−0.825476	+	0.920130i	−0.0273793	+	0.0305188i
$910$	−8.10568	−	0.738252i	−0.268701	−	0.0244728i
$911$			39.0422i			1.29353i	0.762691	+	0.646763i	$0.223878\pi$
$911$			39.0422i			1.29353i	−0.762691	+	0.646763i	$0.776122\pi$
$912$	−1.38334	−	1.00314i	−0.0458070	−	0.0332174i
$913$	65.0464	+	37.5545i	2.15272	+	1.24287i
$914$	5.93967	+	3.42927i	0.196467	+	0.113430i
$915$	−10.9160	−	7.91588i	−0.360873	−	0.261691i
$916$	−0.952153			−0.0314600
$917$	−1.98163	+	12.2631i	−0.0654393	+	0.404965i
$918$	−14.2154	+	44.1582i	−0.469177	+	1.45744i
$919$	−8.28476	−	14.3496i	−0.273289	−	0.473350i	0.696413	−	0.717641i	$-0.254778\pi$
$919$	−8.28476	−	14.3496i	−0.273289	−	0.473350i	−0.969702	+	0.244291i	$0.921445\pi$
$920$	−3.76408	+	6.51958i	−0.124098	+	0.214944i
$921$	−4.51889	+	43.3721i	−0.148902	+	1.42916i
$922$	−33.1663	+	19.1486i	−1.09227	+	0.630625i
$923$	10.3121	−	21.1197i	0.339426	−	0.695162i
$924$	−1.21825	−	0.329334i	−0.0400776	−	0.0108343i
$925$		−	32.2616i		−	1.06076i
$926$	−46.3441	+	26.7568i	−1.52296	+	0.879283i
$927$	37.4978	−	12.2589i	1.23159	−	0.402635i
$928$	1.60984	+	0.929439i	0.0528454	+	0.0305103i
$929$	−37.3804	+	21.5816i	−1.22641	+	0.708069i	−0.966277	−	0.257504i	$-0.917100\pi$
$929$	−37.3804	+	21.5816i	−1.22641	+	0.708069i	−0.260134	+	0.965573i	$0.583767\pi$
$930$	−0.136955	−	0.306857i	−0.00449092	−	0.0100622i
$931$	−1.32558	+	1.17862i	−0.0434441	+	0.0386278i
$932$			0.0694561i			0.00227511i
$933$	−12.7318	−	9.23258i	−0.416820	−	0.302261i
$934$	−9.07821	+	15.7239i	−0.297048	+	0.514502i
$935$	17.9421	+	10.3589i	0.586771	+	0.338772i
$936$	19.0387	−	24.4378i	0.622300	−	0.798773i
$937$		−	22.8032i		−	0.744949i	−0.928042	−	0.372475i	$-0.878509\pi$
$937$		−	22.8032i		−	0.744949i	0.928042	−	0.372475i	$-0.121491\pi$
$938$	25.0927	−	30.7894i	0.819305	−	1.00531i
$939$	1.61107	+	3.60972i	0.0525753	+	0.117799i
$940$	−0.0303198	−	0.0525154i	−0.000988923	−	0.00171286i
$941$	43.3047	+	25.0020i	1.41169	+	0.815042i	0.995548	−	0.0942559i	$-0.0300472\pi$
$941$	43.3047	+	25.0020i	1.41169	+	0.815042i	0.416146	+	0.909298i	$0.363381\pi$
$942$	26.6774	+	2.77949i	0.869198	+	0.0905606i
$943$	−8.27092	−	14.3257i	−0.269338	−	0.466507i
$944$			13.1067i			0.426586i
$945$	3.81851	−	7.48663i	0.124216	−	0.243540i
$946$	8.75226			0.284561
$947$	20.8849	+	36.1736i	0.678667	+	1.17548i	0.975383	+	0.220519i	$0.0707751\pi$
$947$	20.8849	+	36.1736i	0.678667	+	1.17548i	−0.296716	+	0.954966i	$0.595892\pi$
$948$	0.0775391	−	0.744218i	0.00251835	−	0.0241711i
$949$	−24.5451	−	36.4236i	−0.796768	−	1.18236i
$950$	0.818093	+	1.41698i	0.0265425	+	0.0459729i
$951$	−0.297202	+	0.132645i	−0.00963743	+	0.00430132i
$952$	45.3037	−	17.2281i	1.46830	−	0.558365i
$953$		−	28.8958i		−	0.936026i	−0.883722	−	0.468013i	$-0.844970\pi$
$953$		−	28.8958i		−	0.936026i	0.883722	−	0.468013i	$-0.155030\pi$
$954$	−2.55337	+	12.1205i	−0.0826683	+	0.392417i
$955$	0.715343	−	1.23901i	0.0231479	−	0.0400934i
$956$	−0.201712	+	0.349376i	−0.00652383	+	0.0112996i
$957$	34.0681	−	46.9801i	1.10126	−	1.51865i
$958$		−	16.3226i		−	0.527359i
$959$	−39.3224	+	14.9535i	−1.26979	+	0.482873i
$960$	−3.53732	−	7.92563i	−0.114167	−	0.255799i
$961$	15.4741	+	26.8020i	0.499166	+	0.864581i
$962$	29.1020	−	19.6112i	0.938286	−	0.632290i
$963$	17.6261	−	5.76238i	0.567993	−	0.185690i
$964$	−0.0267916	−	0.0464045i	−0.000862901	−	0.00149459i
$965$	−7.26079			−0.233733
$966$	26.5804	−	7.05892i	0.855211	−	0.227117i
$967$			27.2038i			0.874814i	0.899264	+	0.437407i	$0.144103\pi$
$967$			27.2038i			0.874814i	−0.899264	+	0.437407i	$0.855897\pi$
$968$	24.4464	+	42.3424i	0.785736	+	1.36094i
$969$	−0.290927	+	2.79231i	−0.00934592	+	0.0897018i
$970$	10.5126	+	6.06948i	0.337541	+	0.194879i
$971$	−23.3323	−	40.4127i	−0.748768	−	1.29690i	−0.948414	−	0.317036i	$-0.897312\pi$
$971$	−23.3323	−	40.4127i	−0.748768	−	1.29690i	0.199646	−	0.979868i	$-0.436021\pi$
$972$	0.408293	+	0.699847i	0.0130960	+	0.0224476i
$973$	16.7714	−	20.5790i	0.537667	−	0.659733i
$974$		−	49.4769i		−	1.58534i
$975$	−25.5030	+	13.5756i	−0.816750	+	0.434768i
$976$	42.9388	+	24.7907i	1.37444	+	0.793531i
$977$	22.0469	−	38.1863i	0.705341	−	1.22169i	−0.261227	−	0.965277i	$-0.584127\pi$
$977$	22.0469	−	38.1863i	0.705341	−	1.22169i	0.966568	−	0.256410i	$-0.0825396\pi$
$978$	24.2456	−	33.4348i	0.775288	−	1.06913i
$979$		−	37.3095i		−	1.19242i
$980$	−0.217845	+	0.0448818i	−0.00695879	+	0.00143370i
$981$	−34.1978	−	30.6799i	−1.09185	−	0.979533i
$982$	−12.3677	+	7.14047i	−0.394668	+	0.227862i
$983$	−36.5295	−	21.0903i	−1.16511	−	0.672677i	−0.212587	−	0.977142i	$-0.568189\pi$
$983$	−36.5295	−	21.0903i	−1.16511	−	0.672677i	−0.952523	+	0.304465i	$0.901522\pi$
$984$	18.9809	+	1.97759i	0.605087	+	0.0630433i
$985$	9.35602	−	5.40170i	0.298108	−	0.172112i
$986$			56.4570i			1.79796i
$987$	−2.28230	+	8.44255i	−0.0726463	+	0.268729i
$988$	0.0208359	−	0.0426730i	0.000662879	−	0.00135761i
$989$	4.40731	−	2.54456i	0.140144	−	0.0809124i
$990$	−12.8904	+	4.21418i	−0.409685	+	0.133935i
$991$	−2.95639	+	5.12063i	−0.0939130	+	0.162662i	−0.909154	−	0.416459i	$-0.863271\pi$
$991$	−2.95639	+	5.12063i	−0.0939130	+	0.162662i	0.815241	+	0.579121i	$0.196604\pi$
$992$	−0.0334197	−	0.0578847i	−0.00106108	−	0.00183784i
$993$	−14.9880	−	33.5816i	−0.475628	−	1.06568i
$994$	−3.83987	+	23.7627i	−0.121793	+	0.753707i
$995$	0.978295			0.0310140
$996$	−0.749216	+	1.03317i	−0.0237398	+	0.0327373i
$997$	7.72518	+	4.46013i	0.244659	+	0.141254i	0.617316	−	0.786715i	$-0.288220\pi$
$997$	7.72518	+	4.46013i	0.244659	+	0.141254i	−0.372657	+	0.927969i	$0.621553\pi$
$998$	45.0179	+	25.9911i	1.42502	+	0.822733i
$999$	7.63005	+	35.4231i	0.241404	+	1.12074i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.ba.c.38.9	✓	64
3.2	odd	2	inner	273.2.ba.c.38.24	yes	64
7.5	odd	6	inner	273.2.ba.c.194.10	yes	64
13.12	even	2	inner	273.2.ba.c.38.23	yes	64
21.5	even	6	inner	273.2.ba.c.194.23	yes	64
39.38	odd	2	inner	273.2.ba.c.38.10	yes	64
91.12	odd	6	inner	273.2.ba.c.194.24	yes	64
273.194	even	6	inner	273.2.ba.c.194.9	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.ba.c.38.9	✓	64	1.1	even	1	trivial
273.2.ba.c.38.10	yes	64	39.38	odd	2	inner
273.2.ba.c.38.23	yes	64	13.12	even	2	inner
273.2.ba.c.38.24	yes	64	3.2	odd	2	inner
273.2.ba.c.194.9	yes	64	273.194	even	6	inner
273.2.ba.c.194.10	yes	64	7.5	odd	6	inner
273.2.ba.c.194.23	yes	64	21.5	even	6	inner
273.2.ba.c.194.24	yes	64	91.12	odd	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.ba (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.697858 - 1.20873i) q^{2} +(-0.179489 + 1.72273i) q^{3} +(0.0259885 - 0.0450133i) q^{4} +(-0.529415 + 0.305658i) q^{5} +(2.20756 - 0.985265i) q^{6} +(-2.05092 - 1.67145i) q^{7} -2.86398 q^{8} +(-2.93557 - 0.618419i) q^{9} +O(q^{10})\)	\(q+(-0.697858 - 1.20873i) q^{2} +(-0.179489 + 1.72273i) q^{3} +(0.0259885 - 0.0450133i) q^{4} +(-0.529415 + 0.305658i) q^{5} +(2.20756 - 0.985265i) q^{6} +(-2.05092 - 1.67145i) q^{7} -2.86398 q^{8} +(-2.93557 - 0.618419i) q^{9} +(0.738913 + 0.426611i) q^{10} +(2.64913 - 4.58843i) q^{11} +(0.0728810 + 0.0528504i) q^{12} +(1.58197 - 3.23996i) q^{13} +(-0.589074 + 3.64543i) q^{14} +(-0.431541 - 0.966899i) q^{15} +(1.94667 + 3.37174i) q^{16} +(3.19826 - 5.53956i) q^{17} +(1.30111 + 3.97986i) q^{18} +(0.126699 + 0.219449i) q^{19} +0.0317743i q^{20} +(3.24756 - 3.23316i) q^{21} -7.39488 q^{22} +(-3.72378 + 2.14993i) q^{23} +(0.514051 - 4.93385i) q^{24} +(-2.31315 + 4.00649i) q^{25} +(-5.02022 + 0.348862i) q^{26} +(1.59227 - 4.94618i) q^{27} +(-0.128538 + 0.0488802i) q^{28} -6.32377i q^{29} +(-0.867561 + 1.19637i) q^{30} +(-0.113692 + 0.196920i) q^{31} +(-0.146975 + 0.254569i) q^{32} +(7.42912 + 5.38730i) q^{33} -8.92774 q^{34} +(1.59668 + 0.258011i) q^{35} +(-0.104128 + 0.116068i) q^{36} +(-6.03926 + 3.48677i) q^{37} +(0.176836 - 0.306288i) q^{38} +(5.29762 + 3.30684i) q^{39} +(1.51623 - 0.875397i) q^{40} +3.84707i q^{41} +(-6.17434 - 1.66913i) q^{42} -1.18356 q^{43} +(-0.137694 - 0.238493i) q^{44} +(1.74316 - 0.569879i) q^{45} +(5.19734 + 3.00069i) q^{46} +(-1.65276 + 0.954224i) q^{47} +(-6.15798 + 2.74839i) q^{48} +(1.41252 + 6.85600i) q^{49} +6.45699 q^{50} +(8.96908 + 6.50402i) q^{51} +(-0.104728 - 0.155412i) q^{52} +(2.56191 + 1.47912i) q^{53} +(-7.08975 + 1.52711i) q^{54} +3.23891i q^{55} +(5.87378 + 4.78699i) q^{56} +(-0.400791 + 0.178879i) q^{57} +(-7.64371 + 4.41310i) q^{58} +(2.91541 + 1.68321i) q^{59} +(-0.0547384 - 0.00570313i) q^{60} +(11.0288 - 6.36746i) q^{61} +0.317362 q^{62} +(4.98695 + 6.17498i) q^{63} +8.19696 q^{64} +(0.152800 + 2.19883i) q^{65} +(1.32730 - 12.7393i) q^{66} +(-9.31510 - 5.37808i) q^{67} +(-0.166236 - 0.287929i) q^{68} +(-3.03536 - 6.80094i) q^{69} +(-0.802389 - 2.11000i) q^{70} +6.51849 q^{71} +(8.40740 + 1.77114i) q^{72} +(6.09089 - 10.5497i) q^{73} +(8.42909 + 4.86654i) q^{74} +(-6.48690 - 4.70404i) q^{75} +0.0131708 q^{76} +(-13.1025 + 4.98260i) q^{77} +(0.300079 - 8.71108i) q^{78} +(-4.15569 - 7.19787i) q^{79} +(-2.06119 - 1.19003i) q^{80} +(8.23511 + 3.63082i) q^{81} +(4.65005 - 2.68471i) q^{82} +14.1762i q^{83} +(-0.0611362 - 0.230209i) q^{84} +3.91030i q^{85} +(0.825955 + 1.43060i) q^{86} +(10.8941 + 1.13505i) q^{87} +(-7.58706 + 13.1412i) q^{88} +(6.09840 - 3.52092i) q^{89} +(-1.90530 - 1.70930i) q^{90} +(-8.65993 + 4.00071i) q^{91} +0.223493i q^{92} +(-0.318832 - 0.231204i) q^{93} +(2.30679 + 1.33183i) q^{94} +(-0.134153 - 0.0774530i) q^{95} +(-0.412172 - 0.298890i) q^{96} +14.2272 q^{97} +(7.30129 - 6.49186i) q^{98} +(-10.6143 + 11.8314i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 12 q^{3} - 40 q^{4} - 12 q^{9}+O(q^{10}) \) 64 * q - 12 * q^3 - 40 * q^4 - 12 * q^9	\( 64 q - 12 q^{3} - 40 q^{4} - 12 q^{9} - 12 q^{10} - 6 q^{12} - 32 q^{16} - 24 q^{22} + 28 q^{25} - 22 q^{30} + 44 q^{36} + 6 q^{39} - 108 q^{40} + 24 q^{42} + 20 q^{49} + 28 q^{51} + 36 q^{52} + 48 q^{61} + 32 q^{64} + 90 q^{66} - 60 q^{75} - 68 q^{78} + 16 q^{79} + 60 q^{81} + 120 q^{82} + 60 q^{87} + 12 q^{88} - 32 q^{91} + 168 q^{94}+O(q^{100}) \) 64 * q - 12 * q^3 - 40 * q^4 - 12 * q^9 - 12 * q^10 - 6 * q^12 - 32 * q^16 - 24 * q^22 + 28 * q^25 - 22 * q^30 + 44 * q^36 + 6 * q^39 - 108 * q^40 + 24 * q^42 + 20 * q^49 + 28 * q^51 + 36 * q^52 + 48 * q^61 + 32 * q^64 + 90 * q^66 - 60 * q^75 - 68 * q^78 + 16 * q^79 + 60 * q^81 + 120 * q^82 + 60 * q^87 + 12 * q^88 - 32 * q^91 + 168 * q^94

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