LMFDB - Embedded newform 184.2.j.a.67.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [184,2,Mod(11,184)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(184, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 9]))

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

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

chi := DirichletCharacter("184.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.j (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			67.8
Character	$\chi$	$=$	184.67
Dual form			184.2.j.a.11.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.730057 + 1.21120i) q^{2} +(0.00352593 + 0.0245234i) q^{3} +(-0.934035 - 1.76850i) q^{4} +(-3.56863 - 1.04785i) q^{5} +(-0.0322770 - 0.0136328i) q^{6} +(1.35535 - 1.56416i) q^{7} +(2.82391 + 0.159795i) q^{8} +(2.87789 - 0.845025i) q^{9} +O(q^{10})$	\(q+(-0.730057 + 1.21120i) q^{2} +(0.00352593 + 0.0245234i) q^{3} +(-0.934035 - 1.76850i) q^{4} +(-3.56863 - 1.04785i) q^{5} +(-0.0322770 - 0.0136328i) q^{6} +(1.35535 - 1.56416i) q^{7} +(2.82391 + 0.159795i) q^{8} +(2.87789 - 0.845025i) q^{9} +(3.87446 - 3.55736i) q^{10} +(-1.98812 - 3.09358i) q^{11} +(0.0400762 - 0.0291413i) q^{12} +(2.32067 - 2.01087i) q^{13} +(0.905033 + 2.78353i) q^{14} +(0.0131140 - 0.0912096i) q^{15} +(-2.25516 + 3.30367i) q^{16} +(-3.89631 - 1.77939i) q^{17} +(-1.07752 + 4.10263i) q^{18} +(-1.30211 + 0.594653i) q^{19} +(1.48012 + 7.28984i) q^{20} +(0.0431373 + 0.0277227i) q^{21} +(5.19840 - 0.149536i) q^{22} +(-2.42579 - 4.13709i) q^{23} +(0.00603818 + 0.0698153i) q^{24} +(7.43090 + 4.77555i) q^{25} +(0.741358 + 4.27886i) q^{26} +(0.0617465 + 0.135206i) q^{27} +(-4.03215 - 0.935956i) q^{28} +(2.72932 + 1.24644i) q^{29} +(0.100900 + 0.0824719i) q^{30} +(-6.07375 - 0.873274i) q^{31} +(-2.35503 - 5.14333i) q^{32} +(0.0688551 - 0.0596633i) q^{33} +(4.99973 - 3.42018i) q^{34} +(-6.47575 + 4.16171i) q^{35} +(-4.18247 - 4.30026i) q^{36} +(7.98668 - 2.34510i) q^{37} +(0.230366 - 2.01125i) q^{38} +(0.0574960 + 0.0498206i) q^{39} +(-9.91006 - 3.52927i) q^{40} +(7.37673 + 2.16600i) q^{41} +(-0.0650706 + 0.0320090i) q^{42} +(-7.98064 + 1.14744i) q^{43} +(-3.61401 + 6.40550i) q^{44} -11.1556 q^{45} +(6.78183 + 0.0821879i) q^{46} +3.26843i q^{47} +(-0.0889688 - 0.0436556i) q^{48} +(0.386588 + 2.68878i) q^{49} +(-11.2091 + 5.51392i) q^{50} +(0.0298984 - 0.101825i) q^{51} +(-5.72381 - 2.22588i) q^{52} +(-0.700256 + 0.808138i) q^{53} +(-0.208841 - 0.0239204i) q^{54} +(3.85329 + 13.1231i) q^{55} +(4.07733 - 4.20046i) q^{56} +(-0.0191741 - 0.0298354i) q^{57} +(-3.50225 + 2.39580i) q^{58} +(-0.117997 - 0.136175i) q^{59} +(-0.173553 + 0.0620009i) q^{60} +(-0.643931 + 4.47864i) q^{61} +(5.49190 - 6.71902i) q^{62} +(2.57880 - 5.64678i) q^{63} +(7.94893 + 0.902496i) q^{64} +(-10.3887 + 4.74437i) q^{65} +(0.0219963 + 0.126955i) q^{66} +(7.25750 - 11.2929i) q^{67} +(0.492452 + 8.55262i) q^{68} +(0.0929024 - 0.0740756i) q^{69} +(-0.313021 - 10.8817i) q^{70} +(4.86718 - 7.57348i) q^{71} +(8.26193 - 1.92640i) q^{72} +(-4.65097 - 10.1842i) q^{73} +(-2.99033 + 11.3856i) q^{74} +(-0.0909118 + 0.199069i) q^{75} +(2.26786 + 1.74735i) q^{76} +(-7.53346 - 1.08315i) q^{77} +(-0.102318 + 0.0332676i) q^{78} +(8.76095 + 10.1107i) q^{79} +(11.5096 - 9.42654i) q^{80} +(7.56663 - 4.86278i) q^{81} +(-8.00891 + 7.35343i) q^{82} +(3.37850 + 11.5061i) q^{83} +(0.00873570 - 0.102182i) q^{84} +(12.0400 + 10.4327i) q^{85} +(4.43653 - 10.5039i) q^{86} +(-0.0209435 + 0.0713271i) q^{87} +(-5.11994 - 9.05368i) q^{88} +(4.45134 - 0.640006i) q^{89} +(8.14421 - 13.5117i) q^{90} -6.35534i q^{91} +(-5.05067 + 8.15419i) q^{92} -0.152028i q^{93} +(-3.95874 - 2.38614i) q^{94} +(5.26985 - 0.757691i) q^{95} +(0.117828 - 0.0758884i) q^{96} +(2.42428 - 8.25634i) q^{97} +(-3.53890 - 1.49472i) q^{98} +(-8.33575 - 7.22297i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9}+O(q^{10}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26} - 18 q^{27} - 11 q^{28} - 11 q^{30} - 11 q^{32} - 22 q^{33} + 11 q^{34} + 2 q^{35} - 41 q^{36} + 44 q^{38} - 99 q^{40} - 18 q^{41} + 99 q^{42} - 22 q^{43} - 88 q^{44} + 45 q^{46} - 100 q^{48} - 28 q^{49} + 14 q^{50} - 22 q^{51} - 118 q^{52} + 102 q^{54} - 66 q^{56} - 22 q^{57} + 43 q^{58} - 6 q^{59} - 33 q^{60} - 56 q^{62} + 18 q^{64} - 22 q^{65} + 22 q^{66} - 22 q^{67} - 10 q^{70} - 23 q^{72} - 18 q^{73} + 14 q^{75} + 44 q^{76} + 98 q^{78} + 88 q^{80} + 4 q^{81} + 14 q^{82} - 22 q^{83} + 143 q^{84} + 99 q^{86} + 77 q^{88} - 22 q^{89} + 176 q^{90} + 36 q^{92} + 111 q^{94} + 101 q^{96} - 22 q^{97} + 121 q^{98} - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{22}\right)$

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 $

$2$	−0.730057	+	1.21120i	−0.516228	+	0.856451i
$2$	−0.730057	+	1.21120i	−0.516228	+	0.856451i
$3$	0.00352593	+	0.0245234i	0.00203570	+	0.0141586i	0.990814	−	0.135232i	$-0.0431779\pi$
$3$	0.00352593	+	0.0245234i	0.00203570	+	0.0141586i	−0.988778	+	0.149390i	$0.952269\pi$
$4$	−0.934035	−	1.76850i	−0.467017	−	0.884248i
$5$	−3.56863	−	1.04785i	−1.59594	−	0.468611i	−0.641528	−	0.767099i	$-0.721699\pi$
$5$	−3.56863	−	1.04785i	−1.59594	−	0.468611i	−0.954413	+	0.298489i	$0.903518\pi$
$6$	−0.0322770	−	0.0136328i	−0.0131770	−	0.00556558i
$7$	1.35535	−	1.56416i	0.512275	−	0.591196i	−0.439405	−	0.898289i	$-0.644811\pi$
$7$	1.35535	−	1.56416i	0.512275	−	0.591196i	0.951680	+	0.307093i	$0.0993561\pi$
$8$	2.82391	+	0.159795i	0.998403	+	0.0564962i
$9$	2.87789	−	0.845025i	0.959297	−	0.281675i
$10$	3.87446	−	3.55736i	1.22521	−	1.12494i
$11$	−1.98812	−	3.09358i	−0.599442	−	0.932750i	−0.999865	−	0.0164194i	$-0.994773\pi$
$11$	−1.98812	−	3.09358i	−0.599442	−	0.932750i	0.400423	−	0.916330i	$-0.368863\pi$
$12$	0.0400762	−	0.0291413i	0.0115690	−	0.00841236i
$13$	2.32067	−	2.01087i	0.643639	−	0.557716i	−0.270701	−	0.962663i	$-0.587256\pi$
$13$	2.32067	−	2.01087i	0.643639	−	0.557716i	0.914340	+	0.404947i	$0.132710\pi$
$14$	0.905033	+	2.78353i	0.241880	+	0.743930i
$15$	0.0131140	−	0.0912096i	0.00338601	−	0.0235502i
$16$	−2.25516	+	3.30367i	−0.563790	+	0.825918i
$17$	−3.89631	−	1.77939i	−0.944994	−	0.431564i	−0.117522	−	0.993070i	$-0.537495\pi$
$17$	−3.89631	−	1.77939i	−0.944994	−	0.431564i	−0.827473	+	0.561506i	$0.810222\pi$
$18$	−1.07752	+	4.10263i	−0.253975	+	0.966999i
$19$	−1.30211	+	0.594653i	−0.298724	+	0.136423i	−0.559139	−	0.829074i	$-0.688868\pi$
$19$	−1.30211	+	0.594653i	−0.298724	+	0.136423i	0.260414	+	0.965497i	$0.416141\pi$
$20$	1.48012	+	7.28984i	0.330964	+	1.63006i
$21$	0.0431373	+	0.0277227i	0.00941334	+	0.00604959i
$22$	5.19840	−	0.149536i	1.10830	−	0.0318811i
$23$	−2.42579	−	4.13709i	−0.505812	−	0.862644i
$23$	−2.42579	−	4.13709i	−0.505812	−	0.862644i
$24$	0.00603818	+	0.0698153i	0.00123254	+	0.0142510i
$25$	7.43090	+	4.77555i	1.48618	+	0.955110i
$26$	0.741358	+	4.27886i	0.145392	+	0.839154i
$27$	0.0617465	+	0.135206i	0.0118831	+	0.0260204i
$28$	−4.03215	−	0.935956i	−0.762005	−	0.176879i
$29$	2.72932	+	1.24644i	0.506822	+	0.231458i	0.652380	−	0.757892i	$-0.273770\pi$
$29$	2.72932	+	1.24644i	0.506822	+	0.231458i	−0.145558	+	0.989350i	$0.546498\pi$
$30$	0.100900	+	0.0824719i	0.0184217	+	0.0150572i
$31$	−6.07375	−	0.873274i	−1.09088	−	0.156845i	−0.426681	−	0.904402i	$-0.640317\pi$
$31$	−6.07375	−	0.873274i	−1.09088	−	0.156845i	−0.664197	+	0.747558i	$0.731226\pi$
$32$	−2.35503	−	5.14333i	−0.416315	−	0.909221i
$33$	0.0688551	−	0.0596633i	0.0119861	−	0.0103860i
$34$	4.99973	−	3.42018i	0.857447	−	0.586556i
$35$	−6.47575	+	4.16171i	−1.09460	+	0.703458i
$36$	−4.18247	−	4.30026i	−0.697079	−	0.716709i
$37$	7.98668	−	2.34510i	1.31300	−	0.385532i	0.451039	−	0.892504i	$-0.351053\pi$
$37$	7.98668	−	2.34510i	1.31300	−	0.385532i	0.861962	+	0.506972i	$0.169235\pi$
$38$	0.230366	−	2.01125i	0.0373704	−	0.326268i
$39$	0.0574960	+	0.0498206i	0.00920673	+	0.00797767i
$40$	−9.91006	−	3.52927i	−1.56692	−	0.558027i
$41$	7.37673	+	2.16600i	1.15205	+	0.338273i	0.801339	−	0.598210i	$-0.204121\pi$
$41$	7.37673	+	2.16600i	1.15205	+	0.338273i	0.350713	+	0.936483i	$0.385939\pi$
$42$	−0.0650706	+	0.0320090i	−0.0100406	+	0.00493910i
$43$	−7.98064	+	1.14744i	−1.21704	+	0.174983i	−0.720762	−	0.693182i	$-0.756208\pi$
$43$	−7.98064	+	1.14744i	−1.21704	+	0.174983i	−0.496274	+	0.868166i	$0.665299\pi$
$44$	−3.61401	+	6.40550i	−0.544833	+	0.965665i
$45$	−11.1556			−1.66298
$46$	6.78183	+	0.0821879i	0.999927	+	0.0121179i
$47$			3.26843i			0.476749i	0.971173	+	0.238375i	$0.0766146\pi$
$47$			3.26843i			0.476749i	−0.971173	+	0.238375i	$0.923385\pi$
$48$	−0.0889688	−	0.0436556i	−0.0128415	−	0.00630115i
$49$	0.386588	+	2.68878i	0.0552269	+	0.384112i
$50$	−11.2091	+	5.51392i	−1.58521	+	0.779786i
$51$	0.0298984	−	0.101825i	0.00418662	−	0.0142583i
$52$	−5.72381	−	2.22588i	−0.793750	−	0.308673i
$53$	−0.700256	+	0.808138i	−0.0961876	+	0.111006i	−0.801802	−	0.597589i	$-0.796125\pi$
$53$	−0.700256	+	0.808138i	−0.0961876	+	0.111006i	0.705615	+	0.708595i	$0.250671\pi$
$54$	−0.208841	−	0.0239204i	−0.0284196	−	0.00325515i
$55$	3.85329	+	13.1231i	0.519578	+	1.76952i
$56$	4.07733	−	4.20046i	0.544857	−	0.561311i
$57$	−0.0191741	−	0.0298354i	−0.00253967	−	0.00395180i
$58$	−3.50225	+	2.39580i	−0.459869	+	0.314584i
$59$	−0.117997	−	0.136175i	−0.0153619	−	0.0177285i	0.748017	−	0.663680i	$-0.231006\pi$
$59$	−0.117997	−	0.136175i	−0.0153619	−	0.0177285i	−0.763379	+	0.645951i	$0.776461\pi$
$60$	−0.173553	+	0.0620009i	−0.0224056	+	0.00800429i
$61$	−0.643931	+	4.47864i	−0.0824469	+	0.573431i	0.906163	+	0.422929i	$0.138998\pi$
$61$	−0.643931	+	4.47864i	−0.0824469	+	0.573431i	−0.988610	+	0.150502i	$0.951911\pi$
$62$	5.49190	−	6.71902i	0.697471	−	0.853316i
$63$	2.57880	−	5.64678i	0.324898	−	0.711428i
$64$	7.94893	+	0.902496i	0.993616	+	0.112812i
$65$	−10.3887	+	4.74437i	−1.28856	+	0.588467i
$66$	0.0219963	+	0.126955i	0.00270756	+	0.0156271i
$67$	7.25750	−	11.2929i	0.886645	−	1.37965i	−0.0381865	−	0.999271i	$-0.512158\pi$
$67$	7.25750	−	11.2929i	0.886645	−	1.37965i	0.924832	−	0.380376i	$-0.124206\pi$
$68$	0.492452	+	8.55262i	0.0597186	+	1.03716i
$69$	0.0929024	−	0.0740756i	0.0111841	−	0.00891766i
$70$	−0.313021	−	10.8817i	−0.0374132	−	1.30062i
$71$	4.86718	−	7.57348i	0.577628	−	0.898806i	−0.422343	−	0.906436i	$-0.638792\pi$
$71$	4.86718	−	7.57348i	0.577628	−	0.898806i	0.999971	+	0.00762975i	$0.00242865\pi$
$72$	8.26193	−	1.92640i	0.973678	−	0.227028i
$73$	−4.65097	−	10.1842i	−0.544355	−	1.19197i	−0.959369	−	0.282155i	$-0.908951\pi$
$73$	−4.65097	−	10.1842i	−0.544355	−	1.19197i	0.415014	−	0.909815i	$-0.363777\pi$
$74$	−2.99033	+	11.3856i	−0.347619	+	1.32354i
$75$	−0.0909118	+	0.199069i	−0.0104976	+	0.0229865i
$76$	2.26786	+	1.74735i	0.260141	+	0.200435i
$77$	−7.53346	−	1.08315i	−0.858517	−	0.123436i
$78$	−0.102318	+	0.0332676i	−0.0115853	+	0.00376681i
$79$	8.76095	+	10.1107i	0.985684	+	1.13754i	0.990495	+	0.137551i	$0.0439231\pi$
$79$	8.76095	+	10.1107i	0.985684	+	1.13754i	−0.00481112	+	0.999988i	$0.501531\pi$
$80$	11.5096	−	9.42654i	1.28681	−	1.05392i
$81$	7.56663	−	4.86278i	0.840737	−	0.540309i
$82$	−8.00891	+	7.35343i	−0.884436	+	0.812051i
$83$	3.37850	+	11.5061i	0.370838	+	1.26296i	0.907818	+	0.419364i	$0.137747\pi$
$83$	3.37850	+	11.5061i	0.370838	+	1.26296i	−0.536980	+	0.843595i	$0.680435\pi$
$84$	0.00873570	−	0.102182i	0.000953144	−	0.0111490i
$85$	12.0400	+	10.4327i	1.30592	+	1.13159i
$86$	4.43653	−	10.5039i	0.478404	−	1.13266i
$87$	−0.0209435	+	0.0713271i	−0.00224538	+	0.00764707i
$88$	−5.11994	−	9.05368i	−0.545788	−	0.965126i
$89$	4.45134	−	0.640006i	0.471841	−	0.0678405i	0.0977072	−	0.995215i	$-0.468849\pi$
$89$	4.45134	−	0.640006i	0.471841	−	0.0678405i	0.374134	+	0.927375i	$0.377940\pi$
$90$	8.14421	−	13.5117i	0.858475	−	1.42426i
$91$		−	6.35534i		−	0.666221i
$92$	−5.05067	+	8.15419i	−0.526569	+	0.850133i
$93$		−	0.152028i		−	0.0157646i
$94$	−3.95874	−	2.38614i	−0.408312	−	0.246111i
$95$	5.26985	−	0.757691i	0.540676	−	0.0777374i
$96$	0.117828	−	0.0758884i	0.0120258	−	0.00774532i
$97$	2.42428	−	8.25634i	0.246148	−	0.838304i	−0.740024	−	0.672580i	$-0.765186\pi$
$97$	2.42428	−	8.25634i	0.246148	−	0.838304i	0.986172	−	0.165724i	$-0.0529959\pi$
$98$	−3.53890	−	1.49472i	−0.357483	−	0.150990i
$99$	−8.33575	−	7.22297i	−0.837775	−	0.725936i
$100$	1.50482	−	17.6020i	0.150482	−	1.76020i
$101$	3.68978	+	12.5663i	0.367147	+	1.25039i	0.911419	+	0.411480i	$0.134988\pi$
$101$	3.68978	+	12.5663i	0.367147	+	1.25039i	−0.544272	+	0.838909i	$0.683194\pi$
$102$	0.101503	+	0.110551i	0.0100503	+	0.0109462i
$103$	−6.11533	+	3.93009i	−0.602562	+	0.387243i	−0.806061	−	0.591832i	$-0.798405\pi$
$103$	−6.11533	+	3.93009i	−0.602562	+	0.387243i	0.203499	+	0.979075i	$0.434768\pi$
$104$	6.87470	−	5.30770i	0.674120	−	0.520462i
$105$	−0.124892	−	0.144133i	−0.0121882	−	0.0140660i
$106$	−0.467595	−	1.43814i	−0.0454168	−	0.139685i
$107$	14.1244	+	2.03079i	1.36546	+	0.196324i	0.785773	−	0.618515i	$-0.212265\pi$
$107$	14.1244	+	2.03079i	1.36546	+	0.196324i	0.579688	+	0.814839i	$0.303175\pi$
$108$	0.181438	−	0.235486i	0.0174589	−	0.0226596i
$109$	0.241840	−	0.529556i	0.0231641	−	0.0507222i	−0.897696	−	0.440615i	$-0.854761\pi$
$109$	0.241840	−	0.529556i	0.0231641	−	0.0507222i	0.920860	+	0.389892i	$0.127488\pi$
$110$	−18.7079	−	4.91348i	−1.78373	−	0.468482i
$111$	0.0856703	+	0.187592i	0.00813146	+	0.0178054i
$112$	2.11094	+	8.00506i	0.199465	+	0.756407i
$113$	−9.73384	+	15.1462i	−0.915683	+	1.42483i	−0.0104355	+	0.999946i	$0.503322\pi$
$113$	−9.73384	+	15.1462i	−0.915683	+	1.42483i	−0.905247	+	0.424885i	$0.860315\pi$
$114$	0.0501349	−	0.00144217i	0.00469557	−	0.000135071i
$115$	4.32171	+	17.3056i	0.403002	+	1.61376i
$116$	−0.344957	−	5.99102i	−0.0320285	−	0.556252i
$117$	4.97940	−	7.74810i	0.460346	−	0.716312i
$118$	0.251081	−	0.0435024i	0.0231138	−	0.00400472i
$119$	−8.06411	+	3.68276i	−0.739236	+	0.337598i
$120$	0.0516075	−	0.255472i	0.00471110	−	0.0233213i
$121$	−1.04804	+	2.29489i	−0.0952764	+	0.208626i
$122$	−4.95444	−	4.04959i	−0.448554	−	0.366633i
$123$	−0.0271079	+	0.188540i	−0.00244424	+	0.0170001i
$124$	4.12871	+	11.5571i	0.370769	+	1.03786i
$125$	−9.33603	−	10.7744i	−0.835040	−	0.963688i
$126$	4.95674	+	7.24592i	0.441582	+	0.645518i
$127$	−4.90050	−	7.62533i	−0.434849	−	0.676638i	0.552801	−	0.833313i	$-0.313559\pi$
$127$	−4.90050	−	7.62533i	−0.434849	−	0.676638i	−0.987650	+	0.156675i	$0.949923\pi$
$128$	−6.89628	+	8.96891i	−0.609551	+	0.792747i
$129$	−0.0562784	−	0.191667i	−0.00495504	−	0.0168753i
$130$	1.83795	−	16.0465i	0.161199	−	1.40737i
$131$	12.9101	−	14.8991i	1.12796	−	1.30174i	0.179889	−	0.983687i	$-0.442426\pi$
$131$	12.9101	−	14.8991i	1.12796	−	1.30174i	0.948074	−	0.318051i	$-0.103028\pi$
$132$	−0.169827	−	0.0660424i	−0.0147816	−	0.00574825i
$133$	−0.834683	+	2.84267i	−0.0723762	+	0.246491i
$134$	8.37962	+	17.0348i	0.723889	+	1.47158i
$135$	−0.0786757	−	0.547202i	−0.00677133	−	0.0470956i
$136$	−10.7185	−	5.64744i	−0.919103	−	0.484264i
$137$		−	0.641072i		−	0.0547705i	−0.999625	−	0.0273852i	$-0.991282\pi$
$137$		−	0.641072i		−	0.0547705i	0.999625	−	0.0273852i	$-0.00871808\pi$
$138$	0.0218967	+	0.166603i	0.00186397	+	0.0141822i
$139$	−6.83879			−0.580059			−0.290029	−	0.957018i	$-0.593665\pi$
$139$	−6.83879			−0.580059			−0.290029	+	0.957018i	$0.593665\pi$
$140$	13.4085	+	7.56516i	1.13323	+	0.639372i
$141$	−0.0801529	+	0.0115243i	−0.00675009	+	0.000970517i
$142$	5.61972	+	11.4242i	0.471596	+	0.958699i
$143$	−10.8346	−	3.18132i	−0.906034	−	0.266036i
$144$	−3.69841	+	11.4133i	−0.308201	+	0.951106i
$145$	−8.43388	−	7.30800i	−0.700395	−	0.606896i
$146$	15.7306	+	1.80177i	1.30188	+	0.149115i
$147$	−0.0645749	+	0.0189609i	−0.00532605	+	0.00156387i
$148$	−11.6071	−	11.9340i	−0.954101	−	0.980969i
$149$	12.3750	−	7.95290i	1.01380	−	0.651527i	0.0754232	−	0.997152i	$-0.475969\pi$
$149$	12.3750	−	7.95290i	1.01380	−	0.651527i	0.938373	+	0.345624i	$0.112333\pi$
$150$	−0.174743	−	0.255445i	−0.0142677	−	0.0208570i
$151$	−5.39215	+	4.67232i	−0.438807	+	0.380228i	−0.846060	−	0.533087i	$-0.821032\pi$
$151$	−5.39215	+	4.67232i	−0.438807	+	0.380228i	0.407254	+	0.913315i	$0.366486\pi$
$152$	−3.77206	+	1.47118i	−0.305954	+	0.119328i
$153$	−12.7168	−	1.82840i	−1.02809	−	0.147817i
$154$	6.81176	−	8.33380i	0.548908	−	0.671557i
$155$	20.7599	+	9.48075i	1.66748	+	0.761512i
$156$	0.0344042	−	0.148216i	0.00275454	−	0.0118667i
$157$	−2.49078	−	5.45405i	−0.198786	−	0.435281i	0.783819	−	0.620990i	$-0.213269\pi$
$157$	−2.49078	−	5.45405i	−0.198786	−	0.435281i	−0.982605	+	0.185709i	$0.940542\pi$
$158$	−18.6421	+	3.22994i	−1.48308	+	0.256960i
$159$	−0.0222873	−	0.0143232i	−0.00176750	−	0.00113590i
$160$	3.01483	+	20.8224i	0.238343	+	1.64615i
$161$	−9.75887	−	1.81290i	−0.769106	−	0.142877i
$162$	0.365752	+	12.7149i	0.0287362	+	0.998973i
$163$	−15.6529	−	10.0595i	−1.22603	−	0.787923i	−0.242764	−	0.970085i	$-0.578054\pi$
$163$	−15.6529	−	10.0595i	−1.22603	−	0.787923i	−0.983268	+	0.182162i	$0.941690\pi$
$164$	−3.05955	−	15.0689i	−0.238911	−	1.17668i
$165$	−0.308236	+	0.140767i	−0.0239962	+	0.0109587i
$166$	−16.4027	−	4.30806i	−1.27310	−	0.334370i
$167$	−4.75934	−	2.17352i	−0.368289	−	0.168192i	0.222670	−	0.974894i	$-0.428523\pi$
$167$	−4.75934	−	2.17352i	−0.368289	−	0.168192i	−0.590958	+	0.806702i	$0.701250\pi$
$168$	0.117386	+	0.0851795i	0.00905653	+	0.00657174i
$169$	−0.508186	+	3.53451i	−0.0390912	+	0.271886i
$170$	−21.4260	+	6.96642i	−1.64330	+	0.534300i
$171$	−3.24483	+	2.81166i	−0.248138	+	0.215013i
$172$	9.48345	+	13.0420i	0.723106	+	0.994442i
$173$	−5.75876	−	8.96080i	−0.437830	−	0.681277i	0.550288	−	0.834975i	$-0.314518\pi$
$173$	−5.75876	−	8.96080i	−0.437830	−	0.681277i	−0.988118	+	0.153698i	$0.950882\pi$
$174$	−0.0711018	−	0.0774397i	−0.00539021	−	0.00587069i
$175$	17.5412	−	5.15056i	1.32599	−	0.389346i
$176$	14.7037	+	0.408405i	1.10833	+	0.0307847i
$177$	0.00292343	−	0.00337382i	0.000219739	−	0.000253592i
$178$	−2.47455	+	5.85873i	−0.185476	+	0.439130i
$179$	8.77433	+	2.57638i	0.655824	+	0.192567i	0.592681	−	0.805437i	$-0.298069\pi$
$179$	8.77433	+	2.57638i	0.655824	+	0.192567i	0.0631431	+	0.998004i	$0.479888\pi$
$180$	10.4197	+	19.7286i	0.776639	+	1.47048i
$181$	1.59976	+	11.1266i	0.118910	+	0.827034i	0.958760	+	0.284216i	$0.0917334\pi$
$181$	1.59976	+	11.1266i	0.118910	+	0.827034i	−0.839851	+	0.542818i	$0.817358\pi$
$182$	7.69762	+	4.63976i	0.570586	+	0.343922i
$183$	−0.112102			−0.00828681
$184$	−6.18912	−	12.0704i	−0.456268	−	0.889843i
$185$	−30.9588			−2.27614
$186$	0.184137	+	0.110989i	0.0135016	+	0.00813812i
$187$	2.24168	+	15.5912i	0.163928	+	1.14014i
$188$	5.78020	−	3.05282i	0.421565	−	0.222650i
$189$	0.295172	+	0.0866703i	0.0214706	+	0.00630434i
$190$	−2.92957	+	6.93603i	−0.212534	+	0.503192i
$191$	−6.34859	+	7.32666i	−0.459368	+	0.530138i	−0.937424	−	0.348191i	$-0.886796\pi$
$191$	−6.34859	+	7.32666i	−0.459368	+	0.530138i	0.478056	+	0.878329i	$0.341342\pi$
$192$	0.00589513	+	0.198117i	0.000425444	+	0.0142979i
$193$	17.2501	−	5.06508i	1.24169	−	0.364593i	0.406039	−	0.913856i	$-0.366910\pi$
$193$	17.2501	−	5.06508i	1.24169	−	0.364593i	0.835649	+	0.549263i	$0.185092\pi$
$194$	8.23025	+	8.96389i	0.590898	+	0.643570i
$195$	−0.152978	−	0.238038i	−0.0109550	−	0.0170463i
$196$	4.39401	−	3.19509i	0.313858	−	0.228221i
$197$	3.86285	−	3.34718i	0.275216	−	0.238476i	−0.506305	−	0.862354i	$-0.668989\pi$
$197$	3.86285	−	3.34718i	0.275216	−	0.238476i	0.781522	+	0.623878i	$0.214444\pi$
$198$	14.8341	−	4.82313i	1.05421	−	0.342765i
$199$	3.64001	−	25.3168i	0.258033	−	1.79466i	−0.288767	−	0.957399i	$-0.593245\pi$
$199$	3.64001	−	25.3168i	0.258033	−	1.79466i	0.546801	−	0.837263i	$-0.315846\pi$
$200$	20.2211	+	14.6731i	1.42985	+	1.03755i
$201$	0.302530	+	0.138161i	0.0213388	+	0.00974510i
$202$	−17.9141	−	4.70499i	−1.26043	−	0.331042i
$203$	5.64882	−	2.57973i	0.396469	−	0.181062i
$204$	−0.208003	+	0.0422325i	−0.0145631	+	0.00295687i
$205$	−24.0552	−	15.4594i	−1.68009	−	1.07973i
$206$	−0.295600	−	10.2761i	−0.0205954	−	0.715970i
$207$	−10.4771	−	9.85625i	−0.728209	−	0.685057i
$208$	1.40979	+	12.2016i	0.0977511	+	0.846028i
$209$	4.42836	+	2.84593i	0.306316	+	0.196857i
$210$	0.265754	−	0.0460446i	0.0183387	−	0.00317738i
$211$	7.55252	+	16.5377i	0.519937	+	1.13850i	0.969464	+	0.245236i	$0.0788653\pi$
$211$	7.55252	+	16.5377i	0.519937	+	1.13850i	−0.449527	+	0.893267i	$0.648407\pi$
$212$	2.08325	+	0.483571i	0.143078	+	0.0332118i
$213$	0.202889	+	0.0926561i	0.0139017	+	0.00634869i
$214$	−12.7713	+	15.6250i	−0.873031	+	1.06810i
$215$	29.6823	+	4.26768i	2.02432	+	0.291053i
$216$	0.152761	+	0.391676i	0.0103941	+	0.0266502i
$217$	−9.59800	+	8.31672i	−0.651555	+	0.564576i
$218$	0.464844	+	0.679523i	0.0314832	+	0.0460231i
$219$	0.233352	−	0.149966i	0.0157685	−	0.0101338i
$220$	19.6091	−	19.0720i	1.32204	−	1.28583i
$221$	−12.6202	+	3.70562i	−0.848926	+	0.249267i
$222$	−0.289756	−	0.0331883i	−0.0194472	−	0.00222746i
$223$	4.71647	+	4.08684i	0.315838	+	0.273675i	0.798324	−	0.602229i	$-0.205720\pi$
$223$	4.71647	+	4.08684i	0.315838	+	0.273675i	−0.482486	+	0.875904i	$0.660266\pi$
$224$	−11.2369	−	3.28737i	−0.750795	−	0.219647i
$225$	25.4208	+	7.46421i	1.69472	+	0.497614i
$226$	−11.2388	−	22.8472i	−0.747596	−	1.51978i
$227$	−5.20890	+	0.748927i	−0.345727	+	0.0497080i	−0.312991	−	0.949756i	$-0.601331\pi$
$227$	−5.20890	+	0.748927i	−0.345727	+	0.0497080i	−0.0327356	+	0.999464i	$0.510422\pi$
$228$	−0.0348546	+	0.0617765i	−0.00230830	+	0.00409125i
$229$	9.33871			0.617119			0.308560	−	0.951205i	$-0.400153\pi$
$229$	9.33871			0.617119			0.308560	+	0.951205i	$0.400153\pi$
$230$	−24.1158	−	7.39961i	−1.59015	−	0.487916i
$231$		−	0.188565i		−	0.0124067i
$232$	7.50818	+	3.95597i	0.492936	+	0.259722i
$233$	−0.196034	−	1.36345i	−0.0128426	−	0.0893225i	0.982392	−	0.186831i	$-0.0598217\pi$
$233$	−0.196034	−	1.36345i	−0.0128426	−	0.0893225i	−0.995235	+	0.0975087i	$0.968913\pi$
$234$	5.74929	+	11.6876i	0.375843	+	0.764044i
$235$	3.42481	−	11.6638i	0.223410	−	0.760864i
$236$	−0.130613	+	0.335869i	−0.00850217	+	0.0218632i
$237$	−0.217057	+	0.250498i	−0.0140994	+	0.0162716i
$238$	1.42669	−	12.4559i	0.0924783	−	0.807397i
$239$	−1.95869	−	6.67067i	−0.126697	−	0.431490i	0.871574	−	0.490263i	$-0.163099\pi$
$239$	−1.95869	−	6.67067i	−0.126697	−	0.431490i	−0.998271	+	0.0587731i	$0.981281\pi$
$240$	0.271753	+	0.249016i	0.0175416	+	0.0160739i
$241$	3.22788	+	5.02269i	0.207926	+	0.323540i	0.929516	−	0.368781i	$-0.120225\pi$
$241$	3.22788	+	5.02269i	0.207926	+	0.323540i	−0.721590	+	0.692321i	$0.756588\pi$
$242$	−2.01445	−	2.94479i	−0.129494	−	0.189298i
$243$	0.437943	+	0.505413i	0.0280941	+	0.0324223i
$244$	8.52191	−	3.04441i	0.545559	−	0.194899i
$245$	1.43783	−	10.0004i	0.0918599	−	0.638900i
$246$	−0.208570	−	0.170478i	−0.0132979	−	0.0108693i
$247$	−1.82600	+	3.99837i	−0.116185	+	0.254410i
$248$	−17.0122	−	3.43660i	−1.08027	−	0.218225i
$249$	−0.270256	+	0.123422i	−0.0171268	+	0.00782155i
$250$	19.8658	−	3.44196i	1.25642	−	0.217689i
$251$	−3.41213	+	5.30938i	−0.215372	+	0.335125i	−0.932083	−	0.362245i	$-0.882010\pi$
$251$	−3.41213	+	5.30938i	−0.215372	+	0.335125i	0.716711	+	0.697370i	$0.245647\pi$
$252$	−12.3950	+	0.713693i	−0.780812	+	0.0449584i
$253$	−7.97567	+	15.7294i	−0.501426	+	0.988900i
$254$	12.8135	−	0.368589i	0.803989	−	0.0231273i
$255$	−0.213393	+	0.332046i	−0.0133632	+	0.0207935i
$256$	−5.82852	−	14.9006i	−0.364282	−	0.931289i
$257$	−7.57027	−	16.5766i	−0.472220	−	1.03402i	−0.984530	−	0.175217i	$-0.943937\pi$
$257$	−7.57027	−	16.5766i	−0.472220	−	1.03402i	0.512309	−	0.858801i	$-0.328790\pi$
$258$	0.273234	+	0.0717628i	0.0170108	+	0.00446776i
$259$	7.15664	−	15.6709i	0.444692	−	0.973740i
$260$	18.0938	+	13.9410i	1.12213	+	0.864585i
$261$	8.90796	+	1.28077i	0.551389	+	0.0792778i
$262$	8.62071	+	26.5140i	0.532589	+	1.63804i
$263$	−7.99883	−	9.23114i	−0.493229	−	0.569217i	0.453497	−	0.891258i	$-0.350176\pi$
$263$	−7.99883	−	9.23114i	−0.493229	−	0.569217i	−0.946726	+	0.322041i	$0.895631\pi$
$264$	0.203974	−	0.157481i	0.0125538	−	0.00969228i
$265$	3.34576	−	2.15019i	0.205528	−	0.132085i
$266$	−2.83369	−	3.08628i	−0.173745	−	0.189232i
$267$	0.0313902	+	0.106905i	0.00192105	+	0.00654250i
$268$	−26.7502	−	2.28691i	−1.63403	−	0.139696i
$269$	2.83160	+	2.45359i	0.172646	+	0.149598i	0.736898	−	0.676004i	$-0.236290\pi$
$269$	2.83160	+	2.45359i	0.172646	+	0.149598i	−0.564252	+	0.825603i	$0.690835\pi$
$270$	0.720211	+	0.304196i	0.0438307	+	0.0185128i
$271$	−8.24323	+	28.0739i	−0.500741	+	1.70537i	0.189583	+	0.981865i	$0.439286\pi$
$271$	−8.24323	+	28.0739i	−0.500741	+	1.70537i	−0.690323	+	0.723501i	$0.742532\pi$
$272$	14.6653	−	8.85934i	0.889215	−	0.537177i
$273$	0.155855	−	0.0224085i	0.00943275	−	0.00135622i
$274$	0.776469	+	0.468019i	0.0469082	+	0.0282740i
$275$		−	32.4825i		−	1.95877i
$276$	−0.217777	−	0.0951084i	−0.0131086	−	0.00572485i
$277$			15.0045i			0.901535i	0.892641	+	0.450767i	$0.148850\pi$
$277$			15.0045i			0.901535i	−0.892641	+	0.450767i	$0.851150\pi$
$278$	4.99270	−	8.28317i	0.299442	−	0.496792i
$279$	−18.2175	+	2.61928i	−1.09065	+	0.156812i
$280$	−18.9520	+	10.7175i	−1.13260	+	0.640493i
$281$	5.48845	−	18.6920i	0.327414	−	1.11507i	−0.617179	−	0.786823i	$-0.711724\pi$
$281$	5.48845	−	18.6920i	0.327414	−	1.11507i	0.944592	−	0.328245i	$-0.106457\pi$
$282$	0.0445579	−	0.105495i	0.00265339	−	0.00628213i
$283$	−14.8941	−	12.9058i	−0.885360	−	0.767169i	0.0880793	−	0.996113i	$-0.471927\pi$
$283$	−14.8941	−	12.9058i	−0.885360	−	0.767169i	−0.973439	+	0.228945i	$0.926473\pi$
$284$	−17.9398	−	1.53370i	−1.06453	−	0.0910082i
$285$	0.0371623	+	0.126563i	0.00220130	+	0.00749695i
$286$	11.7631	−	10.8004i	0.695566	−	0.638639i
$287$	13.3860	−	8.60269i	0.790153	−	0.507800i
$288$	−11.1238	−	12.8119i	−0.655474	−	0.754947i
$289$	0.882399	+	1.01834i	0.0519058	+	0.0599025i
$290$	15.0087	−	4.87990i	0.881341	−	0.286558i
$291$	0.211021	+	0.0303403i	0.0123703	+	0.00177858i
$292$	−13.6666	+	17.7376i	−0.799775	+	1.03802i
$293$	1.62805	−	3.56494i	0.0951118	−	0.208266i	−0.856096	−	0.516817i	$-0.827117\pi$
$293$	1.62805	−	3.56494i	0.0951118	−	0.208266i	0.951208	+	0.308551i	$0.0998441\pi$
$294$	0.0241778	−	0.0920560i	0.00141008	−	0.00536882i
$295$	0.278396	+	0.609602i	0.0162088	+	0.0354924i
$296$	22.9284	−	5.34612i	1.33269	−	0.310737i
$297$	0.295511	−	0.459824i	0.0171473	−	0.0266817i
$298$	0.598174	+	20.7947i	0.0346513	+	1.20460i
$299$	−13.9486	−	4.72289i	−0.806671	−	0.273132i
$300$	0.436968	−	0.0251602i	0.0252283	−	0.00145262i
$301$	−9.02179	+	14.0382i	−0.520007	+	0.809147i
$302$	−1.72257	−	9.94205i	−0.0991225	−	0.572101i
$303$	−0.295157	+	0.134794i	−0.0169563	+	0.00774370i
$304$	0.971922	−	5.64278i	0.0557436	−	0.323636i
$305$	6.99087	−	15.3079i	0.400296	−	0.876527i
$306$	11.4985	−	14.0678i	0.657327	−	0.804202i
$307$	−2.76475	+	19.2293i	−0.157793	+	1.09747i	0.744897	+	0.667179i	$0.232499\pi$
$307$	−2.76475	+	19.2293i	−0.157793	+	1.09747i	−0.902690	+	0.430292i	$0.858410\pi$
$308$	5.12097	+	14.3346i	0.291794	+	0.816789i
$309$	−0.117941	−	0.136112i	−0.00670945	−	0.00774311i
$310$	−26.6391	+	18.2231i	−1.51300	+	1.03500i
$311$	6.50617	+	10.1238i	0.368931	+	0.574068i	0.975237	−	0.221164i	$-0.0709855\pi$
$311$	6.50617	+	10.1238i	0.368931	+	0.574068i	−0.606305	+	0.795232i	$0.707349\pi$
$312$	0.154402	+	0.149876i	0.00874131	+	0.00848508i
$313$	4.08787	+	13.9220i	0.231060	+	0.786919i	0.990640	+	0.136504i	$0.0435866\pi$
$313$	4.08787	+	13.9220i	0.231060	+	0.786919i	−0.759579	+	0.650415i	$0.774595\pi$
$314$	8.42439	+	0.964920i	0.475416	+	0.0544536i
$315$	−15.1197	+	17.4491i	−0.851901	+	0.983146i
$316$	9.69766	−	24.9374i	0.545536	−	1.40284i
$317$	9.43485	−	32.1321i	0.529914	−	1.80472i	−0.0611907	−	0.998126i	$-0.519490\pi$
$317$	9.43485	−	32.1321i	0.529914	−	1.80472i	0.591105	−	0.806595i	$-0.298692\pi$
$318$	0.0336194	−	0.0165378i	0.00188528	−	0.000927393i
$319$	−1.57027	−	10.9215i	−0.0879181	−	0.611484i
$320$	−27.4211	−	11.5499i	−1.53289	−	0.645661i
$321$			0.353539i			0.0197326i
$322$	9.32032	−	10.4965i	0.519401	−	0.584945i
$323$	6.13154			0.341168
$324$	−15.6673	−	8.83956i	−0.870406	−	0.491087i
$325$	26.8477	−	3.86012i	1.48924	−	0.214121i
$326$	23.6117	−	11.6149i	1.30773	−	0.643289i
$327$	0.0138392	+	0.00406356i	0.000765310	+	0.000224715i
$328$	20.4851	+	7.29537i	1.13110	+	0.402819i
$329$	5.11234	+	4.42987i	0.281852	+	0.244227i
$330$	0.0545326	−	0.476105i	0.00300192	−	0.0262087i
$331$	8.24268	−	2.42027i	0.453059	−	0.133030i	−0.0472387	−	0.998884i	$-0.515042\pi$
$331$	8.24268	−	2.42027i	0.453059	−	0.133030i	0.500298	+	0.865854i	$0.333224\pi$
$332$	17.1929	−	16.7220i	0.943581	−	0.917737i
$333$	21.0031	−	13.4979i	1.15096	−	0.739679i
$334$	6.10716	−	4.17774i	0.334169	−	0.228596i
$335$	−37.7326	+	32.6955i	−2.06155	+	1.78634i
$336$	−0.188868	+	0.0799926i	−0.0103036	+	0.00436396i
$337$	10.7870	+	1.55094i	0.587607	+	0.0844851i	0.429705	−	0.902970i	$-0.358618\pi$
$337$	10.7870	+	1.55094i	0.587607	+	0.0844851i	0.157903	+	0.987455i	$0.449527\pi$
$338$	−3.91001	−	3.19591i	−0.212677	−	0.173835i
$339$	−0.405756	−	0.185302i	−0.0220376	−	0.0100643i
$340$	7.20444	−	31.0372i	0.390716	−	1.68323i
$341$	9.37382	+	20.5258i	0.507621	+	1.11154i
$342$	−1.03659	−	5.98282i	−0.0560522	−	0.323514i
$343$	16.9175	+	10.8722i	0.913460	+	0.587045i
$344$	−22.7200	+	1.96501i	−1.22498	+	0.105946i
$345$	−0.409155	+	0.167001i	−0.0220281	+	0.00899106i
$346$	15.0576	−	0.433142i	0.809501	−	0.0232859i
$347$	15.2769	+	9.81786i	0.820107	+	0.527051i	0.882120	−	0.471025i	$-0.156116\pi$
$347$	15.2769	+	9.81786i	0.820107	+	0.527051i	−0.0620134	+	0.998075i	$0.519752\pi$
$348$	0.145704	−	0.0295834i	0.00781054	−	0.00158584i
$349$	−19.1617	+	8.75087i	−1.02570	+	0.468423i	−0.855948	−	0.517063i	$-0.827025\pi$
$349$	−19.1617	+	8.75087i	−1.02570	+	0.468423i	−0.169757	+	0.985486i	$0.554298\pi$
$350$	−6.56768	+	25.0062i	−0.351057	+	1.33664i
$351$	0.415176	+	0.189605i	0.0221605	+	0.0101203i
$352$	−11.2292	+	17.5111i	−0.598519	+	0.933342i
$353$	−3.10654	+	21.6064i	−0.165344	+	1.14999i	0.723011	+	0.690837i	$0.242758\pi$
$353$	−3.10654	+	21.6064i	−0.165344	+	1.14999i	−0.888355	+	0.459157i	$0.848151\pi$
$354$	0.00195212	+	0.00600396i	0.000103754	+	0.000319107i
$355$	−25.3050	+	21.9269i	−1.34305	+	1.16376i
$356$	−5.28955	−	7.27439i	−0.280346	−	0.385542i
$357$	−0.118747	−	0.184774i	−0.00628477	−	0.00977929i
$358$	−9.52628	+	8.74661i	−0.503480	+	0.462273i
$359$	14.5073	−	4.25973i	0.765667	−	0.224820i	0.124498	−	0.992220i	$-0.460268\pi$
$359$	14.5073	−	4.25973i	0.765667	−	0.224820i	0.641169	+	0.767400i	$0.278450\pi$
$360$	−31.5024	−	1.78261i	−1.66032	−	0.0939519i
$361$	−11.1005	+	12.8106i	−0.584236	+	0.674244i
$362$	−14.6445	−	6.18541i	−0.769699	−	0.325098i
$363$	−0.0599737	−	0.0176099i	−0.00314781	−	0.000924279i
$364$	−11.2394	+	5.93611i	−0.589105	+	0.311137i
$365$	5.92613	+	41.2172i	0.310188	+	2.15741i
$366$	0.0818407	−	0.135778i	0.00427788	−	0.00709724i
$367$	31.1705			1.62708			0.813542	−	0.581506i	$-0.197536\pi$
$367$	31.1705			1.62708			0.813542	+	0.581506i	$0.197536\pi$
$368$	19.1381	+	1.31580i	0.997645	+	0.0685907i
$369$	23.0598			1.20044
$370$	22.6017	−	37.4975i	1.17501	−	1.94940i
$371$	0.314964	+	2.19062i	0.0163521	+	0.113731i
$372$	−0.268861	+	0.141999i	−0.0139398	+	0.00736233i
$373$	9.10707	+	2.67408i	0.471546	+	0.138458i	0.508868	−	0.860845i	$-0.330064\pi$
$373$	9.10707	+	2.67408i	0.471546	+	0.138458i	−0.0373213	+	0.999303i	$0.511882\pi$
$374$	−20.5207	−	8.66733i	−1.06110	−	0.448177i
$375$	0.231306	−	0.266941i	0.0119446	−	0.0137848i
$376$	−0.522280	+	9.22974i	−0.0269345	+	0.475988i
$377$	8.84030	−	2.59575i	0.455299	−	0.133688i
$378$	−0.320468	+	0.294239i	−0.0164831	+	0.0151340i
$379$	−6.91860	−	10.7656i	−0.355385	−	0.552989i	0.616825	−	0.787100i	$-0.288418\pi$
$379$	−6.91860	−	10.7656i	−0.355385	−	0.552989i	−0.972210	+	0.234111i	$0.924782\pi$
$380$	−6.26220	−	8.61201i	−0.321244	−	0.441787i
$381$	0.169720	−	0.147063i	0.00869502	−	0.00753428i
$382$	−4.23926	−	13.0383i	−0.216899	−	0.667098i
$383$	−1.49113	+	10.3710i	−0.0761929	+	0.529933i	0.915601	+	0.402088i	$0.131715\pi$
$383$	−1.49113	+	10.3710i	−0.0761929	+	0.529933i	−0.991794	+	0.127846i	$0.959194\pi$
$384$	−0.244264	−	0.137496i	−0.0124650	−	0.00701658i
$385$	25.7492	+	11.7593i	1.31230	+	0.599307i
$386$	−6.45869	+	24.5912i	−0.328739	+	1.25166i
$387$	−21.9978	+	10.0461i	−1.11821	+	0.510670i
$388$	−16.8657	+	3.42437i	−0.856224	+	0.173846i
$389$	−6.16578	−	3.96250i	−0.312617	−	0.200907i	0.374918	−	0.927058i	$-0.377671\pi$
$389$	−6.16578	−	3.96250i	−0.312617	−	0.200907i	−0.687535	+	0.726151i	$0.741307\pi$
$390$	0.399996	−	0.0115062i	0.0202546	−	0.000582637i
$391$	2.09014	+	20.4358i	0.105703	+	1.03348i
$392$	0.662036	+	7.65465i	0.0334379	+	0.386618i
$393$	0.410896	+	0.264067i	0.0207270	+	0.0133204i
$394$	1.23402	+	7.12233i	0.0621690	+	0.358818i
$395$	−20.6702	−	45.2614i	−1.04003	−	2.27735i
$396$	−4.98792	+	21.4883i	−0.250652	+	1.07983i
$397$	−5.19709	−	2.37343i	−0.260835	−	0.119119i	0.280706	−	0.959794i	$-0.409431\pi$
$397$	−5.19709	−	2.37343i	−0.260835	−	0.119119i	−0.541540	+	0.840675i	$0.682159\pi$
$398$	28.0064	+	22.8915i	1.40384	+	1.14745i
$399$	−0.0726549	−	0.0104462i	−0.00363729	−	0.000522964i
$400$	−32.5347	+	13.7796i	−1.62674	+	0.688982i
$401$	−5.12279	+	4.43893i	−0.255820	+	0.221669i	−0.773323	−	0.634012i	$-0.781407\pi$
$401$	−5.12279	+	4.43893i	−0.255820	+	0.221669i	0.517503	+	0.855681i	$0.326862\pi$
$402$	−0.388205	+	0.265560i	−0.0193619	+	0.0132449i
$403$	−15.8512	+	10.1870i	−0.789606	+	0.507449i
$404$	18.7770	−	18.2627i	0.934190	−	0.908603i
$405$	−32.0980	+	9.42482i	−1.59496	+	0.468323i
$406$	−0.999378	+	8.72523i	−0.0495983	+	0.433026i
$407$	−23.1333	−	20.0451i	−1.14667	−	0.993598i
$408$	0.100702	−	0.282766i	0.00498547	−	0.0139990i
$409$	17.2830	+	5.07475i	0.854590	+	0.250930i	0.679549	−	0.733631i	$-0.262176\pi$
$409$	17.2830	+	5.07475i	0.854590	+	0.250930i	0.175042	+	0.984561i	$0.443994\pi$
$410$	36.2861	−	17.8496i	1.79204	−	0.881529i
$411$	0.0157213	−	0.00226037i	0.000775472	−	0.000111496i
$412$	12.6623	+	7.14411i	0.623826	+	0.351965i
$413$	−0.372927			−0.0183505
$414$	19.5868	−	5.49429i	0.962640	−	0.270030i
$415$		−	44.6012i		−	2.18939i
$416$	−15.8078	−	7.20031i	−0.775044	−	0.353024i
$417$	−0.0241131	−	0.167710i	−0.00118082	−	0.00821281i
$418$	−6.67996	+	3.28596i	−0.326728	+	0.160721i
$419$	−1.13673	+	3.87135i	−0.0555330	+	0.189128i	−0.982588	−	0.185797i	$-0.940513\pi$
$419$	−1.13673	+	3.87135i	−0.0555330	+	0.189128i	0.927055	+	0.374925i	$0.122332\pi$
$420$	−0.138246	+	0.355497i	−0.00674570	+	0.0173465i
$421$	5.56610	−	6.42362i	0.271275	−	0.313068i	−0.603723	−	0.797194i	$-0.706317\pi$
$421$	5.56610	−	6.42362i	0.271275	−	0.313068i	0.874998	+	0.484126i	$0.160862\pi$
$422$	−25.5443	−	2.92582i	−1.24348	−	0.142426i
$423$	2.76190	+	9.40618i	0.134288	+	0.457344i
$424$	−2.10660	+	2.17021i	−0.102305	+	0.105395i
$425$	−20.4556	−	31.8295i	−0.992240	−	1.54396i
$426$	−0.260346	+	0.178095i	−0.0126138	+	0.00862875i
$427$	6.13255	+	7.07734i	0.296775	+	0.342496i
$428$	−9.60127	−	26.8758i	−0.464095	−	1.29909i
$429$	0.0398148	−	0.276918i	0.00192228	−	0.0133697i
$430$	−26.8388	+	32.8358i	−1.29428	+	1.58348i
$431$	4.59971	−	10.0720i	0.221560	−	0.485149i	−0.765911	−	0.642946i	$-0.777712\pi$
$431$	4.59971	−	10.0720i	0.221560	−	0.485149i	0.987472	+	0.157797i	$0.0504391\pi$
$432$	−0.585925	−	0.100921i	−0.0281903	−	0.00485555i
$433$	−2.06643	+	0.943707i	−0.0993063	+	0.0453517i	−0.464449	−	0.885600i	$-0.653748\pi$
$433$	−2.06643	+	0.943707i	−0.0993063	+	0.0453517i	0.365143	+	0.930952i	$0.381020\pi$
$434$	−3.06616	−	17.6968i	−0.147181	−	0.849475i
$435$	0.149480	−	0.232595i	0.00716700	−	0.0111521i
$436$	−1.16240	+	0.0669302i	−0.0556691	+	0.00320537i
$437$	5.61878	+	3.94444i	0.268782	+	0.188688i
$438$	0.0112796	+	0.392121i	0.000538962	+	0.0187363i
$439$	8.02681	−	12.4900i	0.383099	−	0.596113i	−0.595133	−	0.803627i	$-0.702901\pi$
$439$	8.02681	−	12.4900i	0.383099	−	0.596113i	0.978232	+	0.207514i	$0.0665371\pi$
$440$	8.78433	+	37.6742i	0.418777	+	1.79605i
$441$	3.38465	+	7.41134i	0.161174	+	0.352921i
$442$	4.72519	−	17.9909i	0.224754	−	0.855742i
$443$	−1.21028	+	2.65014i	−0.0575020	+	0.125912i	−0.936202	−	0.351463i	$-0.885684\pi$
$443$	−1.21028	+	2.65014i	−0.0575020	+	0.125912i	0.878700	+	0.477375i	$0.158412\pi$
$444$	0.251736	−	0.326725i	0.0119469	−	0.0155057i
$445$	−16.5558	−	2.38037i	−0.784822	−	0.112840i
$446$	−8.39329	+	2.72898i	−0.397434	+	0.129221i
$447$	0.238665	+	0.275435i	0.0112885	+	0.0130276i
$448$	12.1852	−	11.2102i	0.575698	−	0.529632i
$449$	−30.6429	+	19.6930i	−1.44613	+	0.929371i	−0.446732	+	0.894668i	$0.647412\pi$
$449$	−30.6429	+	19.6930i	−1.44613	+	0.929371i	−0.999398	+	0.0347030i	$0.988951\pi$
$450$	−27.5993	+	25.3405i	−1.30104	+	1.19456i
$451$	−7.96515	−	27.1268i	−0.375064	−	1.27735i
$452$	35.8777	+	3.06723i	1.68754	+	0.144271i
$453$	−0.133593	−	0.115759i	−0.00627677	−	0.00543885i
$454$	2.89569	−	6.85580i	0.135901	−	0.321759i
$455$	−6.65942	+	22.6799i	−0.312198	+	1.06325i
$456$	−0.0493782	−	0.0873164i	−0.00231235	−	0.00408897i
$457$	−5.06624	+	0.728415i	−0.236989	+	0.0340738i	−0.259786	−	0.965666i	$-0.583652\pi$
$457$	−5.06624	+	0.728415i	−0.236989	+	0.0340738i	0.0227971	+	0.999740i	$0.492743\pi$
$458$	−6.81779	+	11.3111i	−0.318574	+	0.528533i
$459$		−	0.636676i		−	0.0297175i
$460$	26.5683	−	23.8070i	1.23875	−	1.11001i
$461$		−	17.1103i		−	0.796904i	−0.917189	−	0.398452i	$-0.869548\pi$
$461$		−	17.1103i		−	0.796904i	0.917189	−	0.398452i	$-0.130452\pi$
$462$	0.228391	+	0.137663i	0.0106257	+	0.00640467i
$463$	15.8582	−	2.28006i	0.736992	−	0.105963i	0.236411	−	0.971653i	$-0.424029\pi$
$463$	15.8582	−	2.28006i	0.736992	−	0.105963i	0.500581	+	0.865690i	$0.333120\pi$
$464$	−10.2729	+	6.20587i	−0.476907	+	0.288100i
$465$	−0.159302	+	0.542532i	−0.00738745	+	0.0251593i
$466$	1.79453	+	0.757957i	0.0831301	+	0.0351117i
$467$	15.0517	+	13.0424i	0.696512	+	0.603531i	0.929444	−	0.368962i	$-0.120287\pi$
$467$	15.0517	+	13.0424i	0.696512	+	0.603531i	−0.232933	+	0.972493i	$0.574832\pi$
$468$	−18.3534	−	1.56906i	−0.848387	−	0.0725299i
$469$	−7.82742	−	26.6577i	−0.361436	−	1.23094i
$470$	11.6270	+	12.6634i	0.536312	+	0.584119i
$471$	0.124970	−	0.0803130i	0.00575829	−	0.00370063i
$472$	−0.311452	−	0.403402i	−0.0143357	−	0.0185681i
$473$	19.4162	+	22.4075i	0.892759	+	1.03030i
$474$	−0.144940	−	0.445778i	−0.00665730	−	0.0204753i
$475$	−12.5156	−	1.79948i	−0.574257	−	0.0825656i
$476$	14.0451	+	10.8215i	0.643756	+	0.496004i
$477$	−1.33236	+	2.91747i	−0.0610047	+	0.133582i
$478$	9.50951	+	2.49760i	0.434955	+	0.114238i
$479$	−3.67994	−	8.05795i	−0.168141	−	0.368177i	0.806739	−	0.590908i	$-0.201230\pi$
$479$	−3.67994	−	8.05795i	−0.168141	−	0.368177i	−0.974880	+	0.222731i	$0.928503\pi$
$480$	−0.500005	+	0.147352i	−0.0228220	+	0.00672567i
$481$	13.8188	−	21.5024i	0.630082	−	0.980426i
$482$	−8.44004	+	0.242784i	−0.384433	+	0.0110585i
$483$	0.0100494	−	0.245713i	0.000457261	−	0.0111803i
$484$	5.03741	−	0.290049i	0.228973	−	0.0131841i
$485$	−17.3027	+	26.9236i	−0.785676	+	1.22254i
$486$	−0.931883	+	0.161459i	−0.0422711	+	0.00732391i
$487$	−1.63901	+	0.748509i	−0.0742704	+	0.0339182i	−0.452204	−	0.891915i	$-0.649362\pi$
$487$	−1.63901	+	0.748509i	−0.0742704	+	0.0339182i	0.377933	+	0.925833i	$0.376635\pi$
$488$	−2.53407	+	12.5444i	−0.114712	+	0.567857i
$489$	0.191503	−	0.419332i	0.00866005	−	0.0189629i
$490$	11.0628	+	9.04234i	0.499766	+	0.408491i
$491$	−3.80470	+	26.4623i	−0.171704	+	1.19423i	0.703580	+	0.710616i	$0.251584\pi$
$491$	−3.80470	+	26.4623i	−0.171704	+	1.19423i	−0.875284	+	0.483610i	$0.839325\pi$
$492$	0.358751	−	0.128162i	0.0161738	−	0.00577800i
$493$	−8.41639	−	9.71304i	−0.379055	−	0.437453i
$494$	−3.50977	−	5.13069i	−0.157912	−	0.230841i
$495$	22.1787	+	34.5107i	0.996858	+	1.55114i
$496$	16.5823	−	18.0963i	0.744567	−	0.812549i
$497$	−5.24938	−	17.8778i	−0.235467	−	0.801927i
$498$	0.0478132	−	0.417441i	0.00214256	−	0.0187060i
$499$	3.01960	−	3.48481i	0.135176	−	0.156002i	−0.684126	−	0.729364i	$-0.739816\pi$
$499$	3.01960	−	3.48481i	0.135176	−	0.156002i	0.819302	+	0.573363i	$0.194361\pi$
$500$	−10.3342	+	26.5744i	−0.462161	+	1.18844i
$501$	0.0365209	−	0.124379i	0.00163163	−	0.00555683i
$502$	−3.93970	−	8.00894i	−0.175837	−	0.357457i
$503$	−3.03110	−	21.0818i	−0.135150	−	0.939989i	−0.938696	−	0.344746i	$-0.887965\pi$
$503$	−3.03110	−	21.0818i	−0.135150	−	0.939989i	0.803546	−	0.595243i	$-0.202944\pi$
$504$	8.18462	−	15.5339i	0.364572	−	0.691936i
$505$		−	48.7107i		−	2.16760i
$506$	−13.2289	−	21.1435i	−0.588095	−	0.939945i
$507$	−0.0884700			−0.00392909
$508$	−8.90813	+	15.7888i	−0.395234	+	0.700516i
$509$	−8.75338	+	1.25855i	−0.387987	+	0.0557841i	−0.333548	−	0.942733i	$-0.608246\pi$
$509$	−8.75338	+	1.25855i	−0.387987	+	0.0557841i	−0.0544385	+	0.998517i	$0.517337\pi$
$510$	−0.246387	−	0.500876i	−0.0109102	−	0.0221791i
$511$	−22.2334	−	6.52831i	−0.983548	−	0.288796i
$512$	22.3028	+	3.81877i	0.985656	+	0.168767i
$513$	−0.160801	−	0.139335i	−0.00709955	−	0.00615180i
$514$	25.6044	+	2.93269i	1.12936	+	0.129356i
$515$	25.9415	−	7.61712i	1.14312	−	0.335650i
$516$	−0.286396	+	0.278551i	−0.0126079	+	0.0122625i
$517$	10.1111	−	6.49804i	0.444688	−	0.285783i
$518$	13.7559	+	20.1088i	0.604398	+	0.883529i
$519$	0.199444	−	0.172819i	0.00875463	−	0.00758593i
$520$	−30.0949	+	11.7376i	−1.31975	+	0.514728i
$521$	27.2656	+	3.92020i	1.19453	+	0.171747i	0.710751	−	0.703444i	$-0.248355\pi$
$521$	27.2656	+	3.92020i	1.19453	+	0.171747i	0.483777	+	0.875191i	$0.339264\pi$
$522$	−8.05459	+	9.85433i	−0.352540	+	0.431312i
$523$	−0.407535	−	0.186115i	−0.0178203	−	0.00813825i	0.406485	−	0.913657i	$-0.366754\pi$
$523$	−0.407535	−	0.186115i	−0.0178203	−	0.00813825i	−0.424305	+	0.905519i	$0.639482\pi$
$524$	−38.4075	−	8.91525i	−1.67784	−	0.389465i
$525$	0.188158	+	0.412009i	0.00821190	+	0.0179815i
$526$	17.0204	−	2.94897i	0.742125	−	0.128581i
$527$	22.1113	+	14.2101i	0.963185	+	0.619001i
$528$	0.0418288	+	0.362025i	0.00182036	+	0.0157551i
$529$	−11.2311	+	20.0714i	−0.488309	+	0.872671i
$530$	0.161726	+	5.62216i	0.00702491	+	0.244211i
$531$	−0.454653	−	0.292188i	−0.0197303	−	0.0126799i
$532$	5.80687	−	1.17902i	0.251760	−	0.0511169i
$533$	21.4746	−	9.80710i	0.930166	−	0.424793i
$534$	−0.152401	−	0.0400269i	−0.00659503	−	0.00173213i
$535$	−48.2770	−	22.0474i	−2.08720	−	0.953191i
$536$	22.2991	−	30.7304i	0.963174	−	1.32735i
$537$	−0.0322438	+	0.224260i	−0.00139142	+	0.00967755i
$538$	−5.03903	+	1.63838i	−0.217248	+	0.0706357i
$539$	7.54938	−	6.54157i	0.325175	−	0.281765i
$540$	−0.894238	+	0.650243i	−0.0384819	+	0.0279820i
$541$	−21.1654	−	32.9341i	−0.909973	−	1.41595i	−0.909389	−	0.415946i	$-0.863451\pi$
$541$	−21.1654	−	32.9341i	−0.909973	−	1.41595i	−0.000583485	−	1.00000i	$-0.500186\pi$
$542$	−27.9852	−	30.4798i	−1.20207	−	1.30922i
$543$	−0.267221	+	0.0784633i	−0.0114676	+	0.00336718i
$544$	0.0239704	+	24.2305i	0.00102772	+	1.03888i
$545$	−1.41793	+	1.63638i	−0.0607375	+	0.0700948i
$546$	−0.0866414	+	0.205131i	−0.00370791	+	0.00877881i
$547$	24.4002	+	7.16455i	1.04328	+	0.306334i	0.758098	−	0.652140i	$-0.226129\pi$
$547$	24.4002	+	7.16455i	1.04328	+	0.306334i	0.285179	+	0.958474i	$0.407947\pi$
$548$	−1.13373	+	0.598783i	−0.0484307	+	0.0255787i
$549$	1.93140	+	13.4332i	0.0824300	+	0.573313i
$550$	39.3429	+	23.7140i	1.67759	+	1.01117i
$551$	−4.29507			−0.182976
$552$	0.274185	−	0.194338i	0.0116701	−	0.00827155i
$553$	27.6889			1.17745
$554$	−18.1736	−	10.9542i	−0.772121	−	0.465398i
$555$	−0.109159	−	0.759215i	−0.00463353	−	0.0322269i
$556$	6.38767	+	12.0944i	0.270897	+	0.512916i
$557$	4.61131	+	1.35400i	0.195388	+	0.0573710i	0.377962	−	0.925821i	$-0.376625\pi$
$557$	4.61131	+	1.35400i	0.195388	+	0.0573710i	−0.182575	+	0.983192i	$0.558443\pi$
$558$	10.1273	−	23.9774i	0.428724	−	1.01504i
$559$	−16.2131	+	18.7109i	−0.685741	+	0.791388i
$560$	0.854909	−	30.7791i	0.0361265	−	1.30065i
$561$	−0.374445	+	0.109947i	−0.0158091	+	0.00464196i
$562$	18.6329	+	20.2938i	0.785982	+	0.856043i
$563$	−7.85142	−	12.2170i	−0.330898	−	0.514887i	0.635445	−	0.772147i	$-0.280817\pi$
$563$	−7.85142	−	12.2170i	−0.330898	−	0.514887i	−0.966342	+	0.257259i	$0.917181\pi$
$564$	0.0952462	+	0.130986i	0.00401059	+	0.00551551i
$565$	50.6073	−	43.8515i	2.12907	−	1.84485i
$566$	26.5051	−	8.61781i	1.11409	−	0.362234i
$567$	2.64929	−	18.4262i	0.111260	−	0.773827i
$568$	14.9547	−	20.6091i	0.627484	−	0.864737i
$569$	22.9400	+	10.4763i	0.961695	+	0.439191i	0.833477	−	0.552555i	$-0.186347\pi$
$569$	22.9400	+	10.4763i	0.961695	+	0.439191i	0.128218	+	0.991746i	$0.459074\pi$
$570$	−0.180424	−	0.0473871i	−0.00755715	−	0.00198483i
$571$	−15.3570	+	7.01330i	−0.642670	+	0.293498i	−0.709966	−	0.704235i	$-0.751290\pi$
$571$	−15.3570	+	7.01330i	−0.642670	+	0.293498i	0.0672965	+	0.997733i	$0.478563\pi$
$572$	4.49372	+	22.1324i	0.187892	+	0.925402i
$573$	−0.202059	−	0.129856i	−0.00844114	−	0.00542479i
$574$	0.647047	+	22.4937i	0.0270072	+	0.938868i
$575$	1.73112	−	42.3268i	0.0721925	−	1.76515i
$576$	23.6388	−	4.11976i	0.984949	−	0.171657i
$577$	−38.7065	−	24.8752i	−1.61137	−	1.03557i	−0.961228	−	0.275756i	$-0.911072\pi$
$577$	−38.7065	−	24.8752i	−1.61137	−	1.03557i	−0.650145	−	0.759810i	$-0.725292\pi$
$578$	−1.87762	+	0.325318i	−0.0780988	+	0.0135314i
$579$	0.185036	+	0.405171i	0.00768982	+	0.0168383i
$580$	−5.04663	+	21.7412i	−0.209550	+	0.902754i
$581$	22.5764	+	10.3103i	0.936628	+	0.427744i
$582$	−0.190806	+	0.233440i	−0.00790915	+	0.00967639i
$583$	3.89224	+	0.559619i	0.161200	+	0.0231771i
$584$	−11.5065	−	29.5025i	−0.476143	−	1.22082i
$585$	−25.8885	+	22.4325i	−1.07036	+	0.927470i
$586$	3.12930	+	4.57451i	0.129270	+	0.188971i
$587$	32.1758	−	20.6781i	1.32804	−	0.853477i	0.332075	−	0.943253i	$-0.392251\pi$
$587$	32.1758	−	20.6781i	1.32804	−	0.853477i	0.995962	+	0.0897759i	$0.0286151\pi$
$588$	0.0938475	+	0.0964904i	0.00387021	+	0.00397920i
$589$	8.42798	−	2.47468i	0.347269	−	0.101967i
$590$	−0.941598	−	0.107850i	−0.0387650	−	0.00444010i
$591$	0.0957042	+	0.0829282i	0.00393674	+	0.00341121i
$592$	−10.2638	+	31.6739i	−0.421839	+	1.30179i
$593$	−33.3678	−	9.79766i	−1.37025	−	0.402342i	−0.487885	−	0.872908i	$-0.662231\pi$
$593$	−33.3678	−	9.79766i	−1.37025	−	0.402342i	−0.882365	+	0.470566i	$0.844050\pi$
$594$	0.341201	+	0.693622i	0.0139997	+	0.0284597i
$595$	32.6368	−	4.69247i	1.33798	−	0.192372i
$596$	−25.6233	−	14.4568i	−1.04957	−	0.592173i
$597$	0.633689			0.0259352
$598$	15.9037	−	13.4467i	0.650350	−	0.549876i
$599$			30.9121i			1.26303i	0.775362	+	0.631517i	$0.217568\pi$
$599$			30.9121i			1.26303i	−0.775362	+	0.631517i	$0.782432\pi$
$600$	−0.288537	+	0.547626i	−0.0117795	+	0.0223567i
$601$	1.95405	+	13.5907i	0.0797075	+	0.554378i	0.990071	+	0.140568i	$0.0448930\pi$
$601$	1.95405	+	13.5907i	0.0797075	+	0.554378i	−0.910363	+	0.413810i	$0.864198\pi$
$602$	−10.4167	−	21.1759i	−0.424553	−	0.863066i
$603$	11.3435	−	38.6325i	0.461944	−	1.57324i
$604$	13.2994	+	5.17188i	0.541146	+	0.210441i
$605$	6.14476	−	7.09143i	0.249820	−	0.288308i
$606$	0.0522186	−	0.455903i	0.00212124	−	0.0185198i
$607$	−10.4010	−	35.4227i	−0.422165	−	1.43776i	−0.846564	−	0.532287i	$-0.821333\pi$
$607$	−10.4010	−	35.4227i	−0.422165	−	1.43776i	0.424399	−	0.905475i	$-0.360485\pi$
$608$	6.12500	+	5.29675i	0.248402	+	0.214811i
$609$	0.0831811	+	0.129432i	0.00337067	+	0.00524486i
$610$	13.4372	+	19.6430i	0.544058	+	0.795322i
$611$	6.57240	+	7.58495i	0.265891	+	0.306854i
$612$	8.64440	+	24.1974i	0.349429	+	0.978121i
$613$	−3.87135	+	26.9259i	−0.156363	+	1.08753i	0.748903	+	0.662679i	$0.230581\pi$
$613$	−3.87135	+	26.9259i	−0.156363	+	1.08753i	−0.905266	+	0.424846i	$0.860328\pi$
$614$	−21.2721	−	17.3871i	−0.858474	−	0.701687i
$615$	0.294299	−	0.644424i	0.0118673	−	0.0259857i
$616$	−21.1007	−	4.26252i	−0.850172	−	0.171742i
$617$	9.33589	−	4.26356i	0.375849	−	0.171644i	−0.218529	−	0.975830i	$-0.570126\pi$
$617$	9.33589	−	4.26356i	0.375849	−	0.171644i	0.594378	+	0.804186i	$0.297399\pi$
$618$	0.250963	−	0.0434820i	0.0100952	−	0.00174910i
$619$	−13.6857	+	21.2954i	−0.550075	+	0.855933i	−0.999297	−	0.0374872i	$-0.988065\pi$
$619$	−13.6857	+	21.2954i	−0.550075	+	0.855933i	0.449223	+	0.893420i	$0.351701\pi$
$620$	−2.62383	−	45.5692i	−0.105376	−	1.83010i
$621$	0.409576	−	0.583432i	0.0164357	−	0.0234123i
$622$	−17.0119	+	0.489359i	−0.682114	+	0.0196215i
$623$	5.03206	−	7.83003i	0.201605	−	0.313704i
$624$	−0.294253	+	0.0775947i	−0.0117796	+	0.00310627i
$625$	3.67996	+	8.05798i	0.147198	+	0.322319i
$626$	−19.8468	−	5.21261i	−0.793237	−	0.208338i
$627$	−0.0541779	+	0.118633i	−0.00216366	+	0.00473774i
$628$	−7.31900	+	9.49921i	−0.292060	+	0.379060i
$629$	−35.2914	−	5.07414i	−1.40716	−	0.202319i
$630$	−10.0962	−	31.0519i	−0.402242	−	1.23714i
$631$	21.2063	+	24.4734i	0.844209	+	0.974269i	0.999908	−	0.0135355i	$-0.00430862\pi$
$631$	21.2063	+	24.4734i	0.844209	+	0.974269i	−0.155700	+	0.987804i	$0.549763\pi$
$632$	23.1245	+	29.9516i	0.919843	+	1.19141i
$633$	−0.378931	+	0.243524i	−0.0150611	+	0.00967921i
$634$	32.0306	+	34.8858i	1.27210	+	1.38549i
$635$	9.49792	+	32.3470i	0.376914	+	1.28365i
$636$	−0.00451339	+	0.0527935i	−0.000178968	+	0.00209340i
$637$	6.30395	+	5.46240i	0.249772	+	0.216428i
$638$	14.3745	+	6.07136i	0.569092	+	0.240368i
$639$	7.60743	−	25.9085i	0.300945	−	1.02493i
$640$	34.0083	−	24.7805i	1.34430	−	0.979536i
$641$	−34.3261	+	4.93534i	−1.35580	+	0.194934i	−0.781599	−	0.623782i	$-0.785595\pi$
$641$	−34.3261	+	4.93534i	−1.35580	+	0.194934i	−0.574199	+	0.818716i	$0.694686\pi$
$642$	−0.428209	−	0.258104i	−0.0169000	−	0.0101865i
$643$			9.44763i			0.372578i	0.982495	+	0.186289i	$0.0596461\pi$
$643$			9.44763i			0.372578i	−0.982495	+	0.186289i	$0.940354\pi$
$644$	5.90901	+	18.9518i	0.232848	+	0.746807i
$645$			0.742959i			0.0292540i
$646$	−4.47637	+	7.42655i	−0.176120	+	0.292194i
$647$	−19.0910	+	2.74488i	−0.750546	+	0.107912i	−0.506963	−	0.861968i	$-0.669232\pi$
$647$	−19.0910	+	2.74488i	−0.750546	+	0.107912i	−0.243583	+	0.969880i	$0.578323\pi$
$648$	22.1445	−	12.5229i	0.869920	−	0.491948i
$649$	−0.186678	+	0.635766i	−0.00732774	+	0.0249560i
$650$	−14.9250	+	35.3362i	−0.585405	+	1.38600i
$651$	−0.237796	−	0.206051i	−0.00931996	−	0.00807579i
$652$	−3.16986	+	37.0781i	−0.124141	+	1.45209i
$653$	4.39869	+	14.9806i	0.172134	+	0.586235i	0.999691	+	0.0248533i	$0.00791186\pi$
$653$	4.39869	+	14.9806i	0.172134	+	0.586235i	−0.827557	+	0.561382i	$0.810270\pi$
$654$	−0.0150252	+	0.0137955i	−0.000587532	+	0.000539446i
$655$	−61.6834	+	39.6415i	−2.41017	+	1.54892i
$656$	−23.7915	+	19.4856i	−0.928901	+	0.760786i
$657$	−21.9909	−	25.3788i	−0.857946	−	0.990122i
$658$	−9.09778	+	2.95804i	−0.354668	+	0.115316i
$659$	−32.7585	−	4.70996i	−1.27609	−	0.183474i	−0.529243	−	0.848470i	$-0.677524\pi$
$659$	−32.7585	−	4.70996i	−1.27609	−	0.183474i	−0.746846	+	0.664996i	$0.768433\pi$
$660$	0.536849	+	0.413634i	0.0208968	+	0.0161007i
$661$	−13.9543	+	30.5557i	−0.542761	+	1.18848i	0.417320	+	0.908759i	$0.362969\pi$
$661$	−13.9543	+	30.5557i	−0.542761	+	1.18848i	−0.960081	+	0.279721i	$0.909758\pi$
$662$	−3.08618	+	11.7505i	−0.119948	+	0.456697i
$663$	−0.135372	−	0.296424i	−0.00525742	−	0.0115122i
$664$	7.70195	+	33.0321i	0.298894	+	1.28189i
$665$	5.95735	−	9.26982i	0.231016	−	0.359468i
$666$	1.01524	+	35.2933i	0.0393396	+	1.36759i
$667$	−1.46412	−	14.3151i	−0.0566908	−	0.554282i
$668$	0.601529	+	10.4470i	0.0232739	+	0.404207i
$669$	−0.0835933	+	0.130074i	−0.00323190	+	0.00502894i
$670$	−12.0540	−	69.5714i	−0.465686	−	2.68778i
$671$	15.1352	−	6.91203i	0.584289	−	0.266836i
$672$	0.0409971	−	0.287157i	0.00158150	−	0.0110773i
$673$	1.51470	−	3.31673i	0.0583874	−	0.127851i	−0.878189	−	0.478313i	$-0.841248\pi$
$673$	1.51470	−	3.31673i	0.0583874	−	0.127851i	0.936577	+	0.350463i	$0.113976\pi$
$674$	−9.75365	+	11.9330i	−0.375697	+	0.459643i
$675$	−0.186851	+	1.29958i	−0.00719189	+	0.0500207i
$676$	6.72544	−	2.40263i	0.258671	−	0.0924089i
$677$	−25.6741	−	29.6295i	−0.986736	−	1.13875i	−0.990326	−	0.138761i	$-0.955688\pi$
$677$	−25.6741	−	29.6295i	−0.986736	−	1.13875i	0.00358966	−	0.999994i	$-0.498857\pi$
$678$	0.520664	−	0.356172i	0.0199960	−	0.0136787i
$679$	−9.62847	−	14.9822i	−0.369507	−	0.574964i
$680$	32.3327	+	31.3850i	1.23990	+	1.20356i
$681$	−0.0367324	−	0.125099i	−0.00140759	−	0.00479381i
$682$	−31.7044	−	3.63138i	−1.21402	−	0.139053i
$683$	−6.51891	+	7.52323i	−0.249439	+	0.287868i	−0.866636	−	0.498940i	$-0.833723\pi$
$683$	−6.51891	+	7.52323i	−0.249439	+	0.287868i	0.617197	+	0.786809i	$0.288268\pi$
$684$	8.00319	+	3.11228i	0.306010	+	0.119001i
$685$	−0.671744	+	2.28775i	−0.0256660	+	0.0874104i
$686$	−25.5192	+	12.5532i	−0.974329	+	0.479285i
$687$	0.0329276	+	0.229017i	0.00125627	+	0.00873753i
$688$	14.2068	−	28.9531i	0.541631	−	1.10383i
$689$			3.28355i			0.125093i
$690$	0.0964330	−	0.617491i	0.00367114	−	0.0235075i
$691$	−26.4116			−1.00474			−0.502371	−	0.864652i	$-0.667539\pi$
$691$	−26.4116			−1.00474			−0.502371	+	0.864652i	$0.667539\pi$
$692$	−10.4683	+	18.5540i	−0.397944	+	0.705319i
$693$	−22.5957	+	3.24878i	−0.858341	+	0.123411i
$694$	−23.0444	+	11.3359i	−0.874755	+	0.430303i
$695$	24.4051	+	7.16599i	0.925740	+	0.271822i
$696$	−0.0705404	+	0.198075i	−0.00267383	+	0.00750800i
$697$	−24.8879	−	21.5655i	−0.942696	−	0.816851i
$698$	3.39005	−	29.5974i	0.128315	−	1.12028i
$699$	0.0327452	−	0.00961485i	0.00123854	−	0.000363667i
$700$	−25.4928	−	26.2107i	−0.963538	−	0.990673i
$701$	−12.5889	+	8.09036i	−0.475474	+	0.305569i	−0.756340	−	0.654178i	$-0.773015\pi$
$701$	−12.5889	+	8.09036i	−0.475474	+	0.305569i	0.280866	+	0.959747i	$0.409378\pi$
$702$	−0.532752	+	0.364441i	−0.0201074	+	0.0137549i
$703$	−9.00500	+	7.80288i	−0.339630	+	0.294291i
$704$	−13.0115	−	26.3849i	−0.490390	−	0.994419i
$705$	0.298112	+	0.0428620i	0.0112275	+	0.00161428i
$706$	−23.9019	−	19.5366i	−0.899558	−	0.735268i
$707$	24.6566	+	11.2603i	0.927306	+	0.423486i
$708$	−0.00869718	−	0.00201882i	−0.000326860	−	7.58717e-5i
$709$	−4.30878	−	9.43491i	−0.161820	−	0.354336i	0.811302	−	0.584627i	$-0.198759\pi$
$709$	−4.30878	−	9.43491i	−0.161820	−	0.354336i	−0.973122	+	0.230292i	$0.926032\pi$
$710$	−8.08390	−	46.6574i	−0.303383	−	1.75102i
$711$	33.7568	+	21.6942i	1.26598	+	0.813595i
$712$	12.6725	−	1.09602i	0.474920	−	0.0410749i
$713$	11.1208	+	27.2461i	0.416478	+	1.02037i
$714$	0.310492	−	0.00893151i	0.0116199	−	0.000334253i
$715$	35.3311	+	22.7059i	1.32131	+	0.849154i
$716$	−3.63922	−	17.9238i	−0.136004	−	0.669844i
$717$	0.156681	−	0.0715540i	0.00585137	−	0.00267223i
$718$	−5.43175	+	20.6812i	−0.202711	+	0.771814i
$719$	27.9338	+	12.7570i	1.04176	+	0.475754i	0.861443	−	0.507855i	$-0.169561\pi$
$719$	27.9338	+	12.7570i	1.04176	+	0.475754i	0.180314	+	0.983609i	$0.442289\pi$
$720$	25.1576	−	36.8544i	0.937570	−	1.37348i
$721$	−2.14115	+	14.8920i	−0.0797405	+	0.554607i
$722$	−7.41233	−	22.7974i	−0.275858	−	0.848433i
$723$	−0.111792	+	0.0968683i	−0.00415759	+	0.00360257i
$724$	18.1831	−	13.2218i	0.675770	−	0.491385i
$725$	14.3289	+	22.2962i	0.532162	+	0.828060i
$726$	0.0651134	−	0.0597843i	0.00241659	−	0.00221880i
$727$	32.0565	−	9.41265i	1.18891	−	0.349096i	0.373308	−	0.927708i	$-0.378224\pi$
$727$	32.0565	−	9.41265i	1.18891	−	0.349096i	0.815603	+	0.578612i	$0.196405\pi$
$728$	1.01555	−	17.9469i	0.0376390	−	0.665157i
$729$	17.6595	−	20.3802i	0.654057	−	0.754822i
$730$	−54.2489	−	22.9131i	−2.00784	−	0.848052i
$731$	33.1368	+	9.72985i	1.22561	+	0.359871i
$732$	0.104707	+	0.198252i	0.00387008	+	0.00732759i
$733$	−3.33190	−	23.1739i	−0.123067	−	0.855947i	−0.954050	−	0.299649i	$-0.903130\pi$
$733$	−3.33190	−	23.1739i	−0.123067	−	0.855947i	0.830983	−	0.556298i	$-0.187779\pi$
$734$	−22.7562	+	37.7538i	−0.839947	+	1.39352i
$735$	0.250312			0.00923291
$736$	−15.5656	+	22.2196i	−0.573757	+	0.819026i
$737$	−49.3643			−1.81836
$738$	−16.8349	+	27.9301i	−0.619702	+	1.02812i
$739$	−0.698412	−	4.85756i	−0.0256915	−	0.178688i	0.972935	−	0.231078i	$-0.0742253\pi$
$739$	−0.698412	−	4.85756i	−0.0256915	−	0.178688i	−0.998627	+	0.0523898i	$0.983316\pi$
$740$	28.9166	+	54.7506i	1.06300	+	2.01267i
$741$	−0.104492	−	0.0306816i	−0.00383861	−	0.00112712i
$742$	−2.88323	−	1.21779i	−0.105847	−	0.0447066i
$743$	29.6022	−	34.1627i	1.08600	−	1.25331i	0.120551	−	0.992707i	$-0.461534\pi$
$743$	29.6022	−	34.1627i	1.08600	−	1.25331i	0.965447	−	0.260601i	$-0.0839208\pi$
$744$	0.0242934	−	0.429313i	0.000890639	−	0.0157394i
$745$	−52.4951	+	15.4140i	−1.92327	+	0.564724i
$746$	−9.88753	+	9.07830i	−0.362008	+	0.332380i
$747$	19.4459	+	30.2584i	0.711488	+	1.10710i
$748$	25.4792	−	18.5271i	0.931611	−	0.677418i
$749$	22.3200	−	19.3404i	0.815557	−	0.706684i
$750$	0.154454	+	0.475040i	0.00563986	+	0.0173460i
$751$	−5.66092	+	39.3726i	−0.206570	+	1.43673i	0.577671	+	0.816270i	$0.303962\pi$
$751$	−5.66092	+	39.3726i	−0.206570	+	1.43673i	−0.784241	+	0.620456i	$0.786947\pi$
$752$	−10.7978	−	7.37082i	−0.393756	−	0.268786i
$753$	−0.142235	−	0.0649565i	−0.00518333	−	0.00236715i
$754$	−3.30994	+	12.6025i	−0.120541	+	0.458954i
$755$	24.1385	−	11.0237i	0.878489	−	0.401192i
$756$	−0.122425	−	0.602964i	−0.00445254	−	0.0219296i
$757$	−19.3523	−	12.4370i	−0.703371	−	0.452029i	0.139446	−	0.990230i	$-0.455468\pi$
$757$	−19.3523	−	12.4370i	−0.703371	−	0.452029i	−0.842817	+	0.538200i	$0.819104\pi$
$758$	18.0903	−	0.520379i	0.657068	−	0.0189010i
$759$	−0.413860	−	0.140130i	−0.0150222	−	0.00508638i
$760$	15.0027	−	1.29755i	0.544204	−	0.0470671i
$761$	−8.95963	−	5.75801i	−0.324786	−	0.208728i	0.368079	−	0.929795i	$-0.380016\pi$
$761$	−8.95963	−	5.75801i	−0.324786	−	0.208728i	−0.692865	+	0.721067i	$0.743652\pi$
$762$	0.0542185	+	0.312930i	0.00196413	+	0.0113363i
$763$	−0.500531	−	1.09601i	−0.0181204	−	0.0396782i
$764$	18.8870	+	4.38410i	0.683307	+	0.158611i
$765$	43.4657	+	19.8501i	1.57150	+	0.717682i
$766$	−11.4728	−	9.37748i	−0.414529	−	0.338822i
$767$	−0.547663	−	0.0787421i	−0.0197750	−	0.00284321i
$768$	0.344863	−	0.195473i	0.0124442	−	0.00705354i
$769$	9.09525	−	7.88108i	0.327983	−	0.284199i	−0.475266	−	0.879842i	$-0.657648\pi$
$769$	9.09525	−	7.88108i	0.327983	−	0.284199i	0.803249	+	0.595643i	$0.203103\pi$
$770$	−33.0412	+	22.6026i	−1.19072	+	0.814541i
$771$	0.379822	−	0.244097i	0.0136789	−	0.00879092i
$772$	−25.0698	−	25.7757i	−0.902280	−	0.927690i
$773$	−23.5083	+	6.90267i	−0.845537	+	0.248272i	−0.675678	−	0.737197i	$-0.736149\pi$
$773$	−23.5083	+	6.90267i	−0.845537	+	0.248272i	−0.169858	+	0.985469i	$0.554331\pi$
$774$	3.89181	−	33.9780i	0.139888	−	1.22132i
$775$	−40.9631	−	35.4947i	−1.47144	−	1.27501i
$776$	8.16527	−	22.9278i	0.293116	−	0.823059i
$777$	0.409537	+	0.120251i	0.0146920	+	0.00431397i
$778$	9.30077	−	4.57517i	0.333449	−	0.164028i
$779$	−10.8933	+	1.56622i	−0.390294	+	0.0561158i
$780$	−0.278083	+	0.492877i	−0.00995697	+	0.0176478i
$781$	−33.1057			−1.18462
$782$	−26.2779	−	12.3877i	−0.939695	−	0.442984i
$783$			0.445984i			0.0159382i
$784$	−9.75467	−	4.78647i	−0.348381	−	0.170945i
$785$	3.17369	+	22.0735i	0.113274	+	0.787836i
$786$	−0.619816	+	0.304895i	−0.0221081	+	0.0108753i
$787$	4.27073	−	14.5448i	0.152235	−	0.518465i	−0.847693	−	0.530488i	$-0.822009\pi$
$787$	4.27073	−	14.5448i	0.152235	−	0.518465i	0.999928	+	0.0120225i	$0.00382698\pi$
$788$	−9.52750	−	3.70505i	−0.339403	−	0.131987i
$789$	0.198176	−	0.228707i	0.00705524	−	0.00814218i
$790$	69.9112	+	8.00755i	2.48733	+	0.284896i
$791$	10.4982	+	35.7536i	0.373274	+	1.27125i
$792$	−22.3852	−	21.7290i	−0.795424	−	0.772108i
$793$	7.51163	+	11.6883i	0.266746	+	0.415064i
$794$	6.66888	−	4.56200i	0.236670	−	0.161899i
$795$	0.0645269	+	0.0744680i	0.00228853	+	0.00264111i
$796$	−48.1726	+	17.2094i	−1.70743	+	0.609973i
$797$	−7.85734	+	54.6490i	−0.278321	+	1.93577i	0.0680795	+	0.997680i	$0.478313\pi$
$797$	−7.85734	+	54.6490i	−0.278321	+	1.93577i	−0.346401	+	0.938087i	$0.612596\pi$
$798$	0.0656947	−	0.0803736i	0.00232557	−	0.00284520i
$799$	5.81579	−	12.7348i	0.205748	−	0.450525i
$800$	7.06222	−	49.4661i	0.249687	−	1.74889i
$801$	12.2696	−	5.60336i	0.433527	−	0.197985i
$802$	−1.63652	−	9.44542i	−0.0577875	−	0.333529i
$803$	−22.2589	+	34.6356i	−0.785501	+	1.22226i
$804$	−0.0382365	−	0.664069i	−0.00134850	−	0.0234199i
$805$	32.9262	+	16.6954i	1.16050	+	0.588434i
$806$	−0.766208	−	26.6362i	−0.0269885	−	0.938219i
$807$	−0.0501864	+	0.0780916i	−0.00176665	+	0.00274896i
$808$	8.41159	+	36.0756i	0.295919	+	1.26913i
$809$	18.9590	+	41.5145i	0.666564	+	1.45957i	0.876277	+	0.481808i	$0.160020\pi$
$809$	18.9590	+	41.5145i	0.666564	+	1.45957i	−0.209713	+	0.977763i	$0.567253\pi$
$810$	12.0180	−	45.7579i	0.422268	−	1.60777i
$811$	13.8622	−	30.3541i	0.486769	−	1.06588i	−0.493777	−	0.869589i	$-0.664384\pi$
$811$	13.8622	−	30.3541i	0.486769	−	1.06588i	0.980546	−	0.196288i	$-0.0628887\pi$
$812$	−9.83844	−	7.58036i	−0.345261	−	0.266019i
$813$	−0.717531	−	0.103165i	−0.0251649	−	0.00361817i
$814$	41.1673	−	13.3851i	1.44291	−	0.469146i
$815$	45.3188	+	52.3006i	1.58745	+	1.83201i
$816$	0.268970	+	0.328406i	0.00941583	+	0.0114965i
$817$	9.70934	−	6.23981i	0.339687	−	0.218303i
$818$	−18.7642	+	17.2284i	−0.656073	+	0.602378i
$819$	−5.37042	−	18.2900i	−0.187658	−	0.639104i
$820$	−4.87140	+	56.9811i	−0.170117	+	1.98987i
$821$	29.4360	+	25.5065i	1.02732	+	0.890182i	0.994013	−	0.109263i	$-0.0348491\pi$
$821$	29.4360	+	25.5065i	1.02732	+	0.890182i	0.0333119	+	0.999445i	$0.489395\pi$
$822$	−0.00873963	+	0.0206919i	−0.000304829	+	0.000721711i
$823$	−10.3921	+	35.3923i	−0.362246	+	1.23370i	0.553809	+	0.832644i	$0.313174\pi$
$823$	−10.3921	+	35.3923i	−0.362246	+	1.23370i	−0.916055	+	0.401053i	$0.868644\pi$
$824$	−17.8972	+	10.1210i	−0.623477	+	0.352582i
$825$	0.796580	−	0.114531i	0.0277334	−	0.00398746i
$826$	0.272258	−	0.451691i	0.00947306	−	0.0157163i
$827$			34.9852i			1.21655i	0.793725	+	0.608277i	$0.208139\pi$
$827$			34.9852i			1.21655i	−0.793725	+	0.608277i	$0.791861\pi$
$828$	−7.64478	+	27.7348i	−0.265674	+	0.963851i
$829$			8.72710i			0.303105i	0.988449	+	0.151552i	$0.0484272\pi$
$829$			8.72710i			0.303105i	−0.988449	+	0.151552i	$0.951573\pi$
$830$	54.0212	+	32.5614i	1.87510	+	1.13022i
$831$	−0.367962	+	0.0529049i	−0.0127645	+	0.00183525i
$832$	20.2617	−	13.8899i	0.702447	−	0.481546i
$833$	3.27811	−	11.1642i	0.113580	−	0.386817i
$834$	0.220735	+	0.0932321i	0.00764344	+	0.00322836i
$835$	14.7068	+	12.7435i	0.508951	+	0.441008i
$836$	0.896783	−	10.4897i	0.0310159	−	0.362795i
$837$	−0.256961	−	0.875130i	−0.00888188	−	0.0302489i
$838$	−3.85912	−	4.20312i	−0.133311	−	0.145194i
$839$	−33.8567	+	21.7584i	−1.16886	+	0.751183i	−0.973307	−	0.229509i	$-0.926288\pi$
$839$	−33.8567	+	21.7584i	−1.16886	+	0.751183i	−0.195557	+	0.980692i	$0.562652\pi$
$840$	−0.329653	−	0.426977i	−0.0113741	−	0.0147321i
$841$	−13.0954	−	15.1129i	−0.451565	−	0.521133i
$842$	3.71675	+	11.4313i	0.128088	+	0.393948i
$843$	0.477742	+	0.0686889i	0.0164543	+	0.00236577i
$844$	22.1926	−	28.8034i	0.763899	−	0.991453i
$845$	5.51715	−	12.0809i	0.189796	−	0.415595i
$846$	−13.4092	−	3.52181i	−0.461016	−	0.121082i
$847$	2.16911	+	4.74968i	0.0745314	+	0.163201i
$848$	−1.09064	−	4.13590i	−0.0374526	−	0.142027i
$849$	0.263978	−	0.410758i	0.00905970	−	0.0140972i
$850$	53.4857	−	1.53856i	1.83455	−	0.0527720i
$851$	−29.0759	−	27.3529i	−0.996709	−	0.937646i
$852$	−0.0256429	−	0.445352i	−0.000878513	−	0.0152575i
$853$	−0.784412	+	1.22057i	−0.0268578	+	0.0417915i	−0.854423	−	0.519578i	$-0.826089\pi$
$853$	−0.784412	+	1.22057i	−0.0268578	+	0.0417915i	0.827565	+	0.561370i	$0.189725\pi$
$854$	−13.0492	+	2.26091i	−0.446535	+	0.0773669i
$855$	14.5258	−	6.63371i	0.496772	−	0.226868i
$856$	39.5616	+	7.99178i	1.35219	+	0.273153i
$857$	1.18687	−	2.59887i	0.0405426	−	0.0887758i	−0.888277	−	0.459308i	$-0.848097\pi$
$857$	1.18687	−	2.59887i	0.0405426	−	0.0887758i	0.928820	+	0.370532i	$0.120825\pi$
$858$	0.306337	+	0.250390i	0.0104582	+	0.00854816i
$859$	4.01477	−	27.9234i	0.136982	−	0.952733i	−0.799162	−	0.601116i	$-0.794723\pi$
$859$	4.01477	−	27.9234i	0.136982	−	0.952733i	0.936144	−	0.351617i	$-0.114368\pi$
$860$	−20.1770	−	56.4793i	−0.688029	−	1.92593i
$861$	0.258165	+	0.297939i	0.00879825	+	0.0101537i
$862$	8.84116	+	12.9243i	0.301131	+	0.440203i
$863$	2.27225	+	3.53569i	0.0773484	+	0.120356i	0.877773	−	0.479078i	$-0.159029\pi$
$863$	2.27225	+	3.53569i	0.0773484	+	0.120356i	−0.800424	+	0.599434i	$0.795392\pi$
$864$	0.549994	−	0.635997i	0.0187112	−	0.0216371i
$865$	11.1614	+	38.0121i	0.379498	+	1.29245i
$866$	0.365589	−	3.19183i	0.0124232	−	0.108463i
$867$	−0.0218619	+	0.0252300i	−0.000742470	+	0.000856856i
$868$	23.6730	+	9.20593i	0.803512	+	0.312470i
$869$	13.8603	−	47.2040i	0.470180	−	1.60128i
$870$	0.172591	+	0.350858i	0.00585139	+	0.0118952i
$871$	−5.86631	−	40.8011i	−0.198772	−	1.38249i
$872$	0.767555	−	1.45677i	0.0259927	−	0.0493325i
$873$		−	25.8094i		−	0.873516i
$874$	−8.87956	+	3.92582i	−0.300355	+	0.132793i
$875$	−29.5064			−0.997499
$876$	−0.483174	−	0.272609i	−0.0163249	−	0.00921059i
$877$	17.3486	−	2.49436i	0.585821	−	0.0842284i	0.156970	−	0.987603i	$-0.449827\pi$
$877$	17.3486	−	2.49436i	0.585821	−	0.0842284i	0.428852	+	0.903375i	$0.358918\pi$
$878$	9.26788	+	18.8405i	0.312776	+	0.635836i
$879$	0.0931647	+	0.0273556i	0.00314237	+	0.000922683i
$880$	−52.0442	−	16.8647i	−1.75441	−	0.568508i
$881$	−11.9250	−	10.3330i	−0.401762	−	0.348129i	0.430422	−	0.902628i	$-0.358365\pi$
$881$	−11.9250	−	10.3330i	−0.401762	−	0.348129i	−0.832185	+	0.554499i	$0.812910\pi$
$882$	−11.4476	−	1.31120i	−0.385462	−	0.0441504i
$883$	33.7274	−	9.90327i	1.13502	−	0.333271i	0.340340	−	0.940302i	$-0.389458\pi$
$883$	33.7274	−	9.90327i	1.13502	−	0.333271i	0.794678	+	0.607031i	$0.207640\pi$
$884$	18.3411	+	18.8576i	0.616877	+	0.634249i
$885$	−0.0139679	+	0.00897663i	−0.000469526	+	0.000301746i
$886$	−2.32629	−	3.40064i	−0.0781532	−	0.114247i
$887$	−1.60225	+	1.38835i	−0.0537981	+	0.0466163i	−0.681345	−	0.731963i	$-0.738605\pi$
$887$	−1.60225	+	1.38835i	−0.0537981	+	0.0466163i	0.627547	+	0.778579i	$0.284059\pi$
$888$	0.211949	+	0.543432i	0.00711254	+	0.0182364i
$889$	−18.5691	−	2.66984i	−0.622788	−	0.0895434i
$890$	14.9698	−	18.3147i	0.501789	−	0.613910i
$891$	−30.0868	−	13.7402i	−1.00795	−	0.460314i
$892$	2.82222	−	12.1583i	0.0944950	−	0.407090i
$893$	−1.94358	−	4.25585i	−0.0650394	−	0.142417i
$894$	−0.507847	+	0.0879899i	−0.0169849	+	0.00294282i
$895$	−28.6127	−	18.3883i	−0.956418	−	0.614653i
$896$	4.68192	+	22.9429i	0.156412	+	0.766468i
$897$	0.0666393	−	0.358720i	0.00222502	−	0.0119773i
$898$	−1.48120	−	51.4919i	−0.0494283	−	1.71831i
$899$	−15.4887	−	9.95401i	−0.516579	−	0.331985i
$900$	−10.5434	−	51.9284i	−0.351448	−	1.73095i
$901$	4.16641	−	1.90273i	0.138803	−	0.0633893i
$902$	38.6711	+	10.1567i	1.28761	+	0.338180i
$903$	−0.376074	−	0.171747i	−0.0125150	−	0.00571539i
$904$	−29.9078	+	41.2159i	−0.994718	+	1.37082i
$905$	5.94999	−	41.3831i	0.197784	−	1.37562i
$906$	0.237739	−	0.0772981i	0.00789835	−	0.00256806i
$907$	−9.75761	+	8.45502i	−0.323996	+	0.280744i	−0.801637	−	0.597811i	$-0.796037\pi$
$907$	−9.75761	+	8.45502i	−0.323996	+	0.280744i	0.477641	+	0.878555i	$0.341492\pi$
$908$	6.18977	+	8.51240i	0.205415	+	0.282494i
$909$	21.2376	+	33.0463i	0.704406	+	1.09608i
$910$	−22.6082	−	24.6235i	−0.749456	−	0.816262i
$911$	−43.0014	+	12.6263i	−1.42470	+	0.418329i	−0.901091	−	0.433630i	$-0.857233\pi$
$911$	−43.0014	+	12.6263i	−1.42470	+	0.418329i	−0.523608	+	0.851959i	$0.675414\pi$
$912$	0.141807	+	0.00393878i	0.00469570	+	0.000130426i
$913$	28.8782	−	33.3272i	0.955729	−	1.10297i
$914$	2.81638	−	6.66804i	0.0931576	−	0.220559i
$915$	0.400050	+	0.117465i	0.0132253	+	0.00388329i
$916$	−8.72268	−	16.5155i	−0.288205	−	0.545687i
$917$	−5.80677	−	40.3870i	−0.191756	−	1.33369i
$918$	0.771145	+	0.464809i	0.0254516	+	0.0153410i
$919$	7.35971			0.242774			0.121387	−	0.992605i	$-0.461266\pi$
$919$	7.35971			0.242774			0.121387	+	0.992605i	$0.461266\pi$
$920$	9.43876	+	49.5601i	0.311187	+	1.63395i
$921$	−0.481315			−0.0158599
$922$	20.7240	+	12.4915i	0.682509	+	0.411384i
$923$	−3.93418	−	27.3628i	−0.129495	−	0.900659i
$924$	−0.333476	+	0.176126i	−0.0109706	+	0.00579413i
$925$	70.5473	+	20.7146i	2.31958	+	0.681091i
$926$	−8.81574	+	20.8721i	−0.289703	+	0.685899i
$927$	−14.2782	+	16.4780i	−0.468959	+	0.541207i
$928$	−0.0167910	−	16.9732i	−0.000551190	−	0.557173i
$929$	46.3387	−	13.6063i	1.52032	−	0.446408i	0.588252	−	0.808678i	$-0.299816\pi$
$929$	46.3387	−	13.6063i	1.52032	−	0.446408i	0.932073	+	0.362270i	$0.117998\pi$
$930$	−0.540819	−	0.589027i	−0.0177341	−	0.0193149i
$931$	−2.10227	−	3.27120i	−0.0688992	−	0.107209i
$932$	−2.22815	+	1.62019i	−0.0729855	+	0.0530712i
$933$	−0.225330	+	0.195249i	−0.00737696	+	0.00639217i
$934$	−26.7857	+	8.70905i	−0.876453	+	0.284969i
$935$	8.33744	−	57.9882i	0.272664	−	1.89642i
$936$	15.2995	−	21.0843i	0.500080	−	0.689160i
$937$	−7.72504	−	3.52791i	−0.252366	−	0.115252i	0.285216	−	0.958463i	$-0.407935\pi$
$937$	−7.72504	−	3.52791i	−0.252366	−	0.115252i	−0.537582	+	0.843212i	$0.680662\pi$
$938$	38.0024	+	9.98105i	1.24082	+	0.325893i
$939$	−0.327001	+	0.149336i	−0.0106713	+	0.00487341i
$940$	−23.8263	+	4.83765i	−0.777129	+	0.157787i
$941$	−0.781896	−	0.502494i	−0.0254891	−	0.0163808i	0.527834	−	0.849347i	$-0.323004\pi$
$941$	−0.781896	−	0.502494i	−0.0254891	−	0.0163808i	−0.553323	+	0.832967i	$0.686641\pi$
$942$	0.00604071	+	0.209997i	0.000196817	+	0.00684206i
$943$	−8.93342	−	35.7725i	−0.290912	−	1.16491i
$944$	0.715980	−	0.0827252i	0.0233032	−	0.00269248i
$945$	−0.962544	−	0.618589i	−0.0313115	−	0.0201227i
$946$	−41.3150	+	7.15827i	−1.34327	+	0.232735i
$947$	−10.9088	−	23.8869i	−0.354488	−	0.776220i	−0.999923	−	0.0124053i	$-0.996051\pi$
$947$	−10.9088	−	23.8869i	−0.354488	−	0.776220i	0.645435	−	0.763815i	$-0.276676\pi$
$948$	0.645743	+	0.149892i	0.0209728	+	0.00486826i
$949$	−31.2725	−	14.2817i	−1.01515	−	0.463603i
$950$	11.3167	−	13.8453i	0.367161	−	0.449200i
$951$	0.821256	+	0.118079i	0.0266310	+	0.00382897i
$952$	−23.3608	+	9.11116i	−0.757128	+	0.295295i
$953$	27.6777	−	23.9829i	0.896568	−	0.776881i	−0.0789318	−	0.996880i	$-0.525151\pi$
$953$	27.6777	−	23.9829i	0.896568	−	0.776881i	0.975500	+	0.219999i	$0.0706055\pi$
$954$	−2.56095	−	3.74368i	−0.0829138	−	0.121206i
$955$	30.3330	−	19.4938i	0.981552	−	0.630805i
$956$	−9.96758	+	9.69457i	−0.322375	+	0.313545i
$957$	0.262294	−	0.0770166i	0.00847877	−	0.00248959i
$958$	12.4464	+	1.42560i	0.402125	+	0.0460589i
$959$	−1.00274	−	0.868877i	−0.0323801	−	0.0280575i
$960$	0.186558	−	0.713184i	0.00602114	−	0.0230179i
$961$	6.38356	+	1.87438i	0.205921	+	0.0604640i
$962$	15.9554	+	32.4353i	0.514421	+	1.04576i
$963$	42.3646	−	6.09112i	1.36518	−	0.196283i
$964$	5.86765	−	10.3999i	0.188984	−	0.334957i
$965$	−66.8667			−2.15251
$966$	0.290272	+	0.191556i	0.00933934	+	0.00616321i
$967$			26.6482i			0.856948i	0.903554	+	0.428474i	$0.140949\pi$
$967$			26.6482i			0.856948i	−0.903554	+	0.428474i	$0.859051\pi$
$968$	−3.32628	+	6.31308i	−0.106911	+	0.202910i
$969$	0.0216194	+	0.150366i	0.000694515	+	0.00483045i
$970$	−19.9780	−	40.6129i	−0.641455	−	1.30400i
$971$	−11.5019	+	39.1718i	−0.369113	+	1.25708i	0.540400	+	0.841408i	$0.318273\pi$
$971$	−11.5019	+	39.1718i	−0.369113	+	1.25708i	−0.909513	+	0.415675i	$0.863545\pi$
$972$	0.484768	−	1.24657i	0.0155489	−	0.0399839i
$973$	−9.26896	+	10.6970i	−0.297149	+	0.342929i
$974$	0.289969	−	2.53163i	0.00929122	−	0.0811185i
$975$	0.189326	+	0.644787i	0.00606330	+	0.0206497i
$976$	−13.3438	−	12.2274i	−0.427124	−	0.391389i
$977$	9.42838	+	14.6708i	0.301641	+	0.469362i	0.958677	−	0.284497i	$-0.0918266\pi$
$977$	9.42838	+	14.6708i	0.301641	+	0.469362i	−0.657036	+	0.753859i	$0.728190\pi$
$978$	0.368089	+	0.538085i	0.0117702	+	0.0172061i
$979$	−10.8297	−	12.4982i	−0.346119	−	0.399443i
$980$	−19.0286	+	6.79788i	−0.607846	+	0.217150i
$981$	0.248501	−	1.72836i	0.00793403	−	0.0551824i
$982$	−29.2736	−	23.9272i	−0.934158	−	0.763549i
$983$	−21.7695	+	47.6685i	−0.694338	+	1.52039i	0.152366	+	0.988324i	$0.451311\pi$
$983$	−21.7695	+	47.6685i	−0.694338	+	1.52039i	−0.846704	+	0.532064i	$0.821417\pi$
$984$	−0.106678	+	0.528087i	−0.00340077	+	0.0168348i
$985$	−17.2924	+	7.89718i	−0.550982	+	0.251625i
$986$	17.9089	−	3.10291i	0.570336	−	0.0988168i
$987$	−0.0906096	+	0.140991i	−0.00288414	+	0.00448780i
$988$	8.77665	−	0.505351i	0.279222	−	0.0160774i
$989$	24.1064	+	30.2332i	0.766540	+	0.961361i
$990$	−57.9913	+	1.66816i	−1.84308	+	0.0530176i
$991$	10.2459	−	15.9429i	0.325472	−	0.506444i	−0.639503	−	0.768789i	$-0.720860\pi$
$991$	10.2459	−	15.9429i	0.325472	−	0.506444i	0.964974	+	0.262345i	$0.0844960\pi$
$992$	9.81234	+	33.2959i	0.311542	+	1.05715i
$993$	0.0884163	+	0.193605i	0.00280581	+	0.00614386i
$994$	25.4860	+	6.69370i	0.808366	+	0.212311i
$995$	−39.5180	+	86.5323i	−1.25280	+	2.74326i
$996$	0.470700	+	0.362667i	0.0149147	+	0.0114915i
$997$	−31.1067	−	4.47247i	−0.985158	−	0.141644i	−0.369138	−	0.929375i	$-0.620347\pi$
$997$	−31.1067	−	4.47247i	−0.985158	−	0.141644i	−0.616020	+	0.787730i	$0.711256\pi$
$998$	2.01634	+	6.20147i	0.0638260	+	0.196304i
$999$	0.810221	+	0.935045i	0.0256343	+	0.0295835i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.67.8	yes	220
4.3	odd	2		736.2.r.a.527.11		220
8.3	odd	2	inner	184.2.j.a.67.15	yes	220
8.5	even	2		736.2.r.a.527.12		220
23.11	odd	22	inner	184.2.j.a.11.15	yes	220
92.11	even	22		736.2.r.a.655.12		220
184.11	even	22	inner	184.2.j.a.11.8	✓	220
184.149	odd	22		736.2.r.a.655.11		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.11.8	✓	220	184.11	even	22	inner
184.2.j.a.11.15	yes	220	23.11	odd	22	inner
184.2.j.a.67.8	yes	220	1.1	even	1	trivial
184.2.j.a.67.15	yes	220	8.3	odd	2	inner
736.2.r.a.527.11		220	4.3	odd	2
736.2.r.a.527.12		220	8.5	even	2
736.2.r.a.655.11		220	184.149	odd	22
736.2.r.a.655.12		220	92.11	even	22

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:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.730057 + 1.21120i) q^{2} +(0.00352593 + 0.0245234i) q^{3} +(-0.934035 - 1.76850i) q^{4} +(-3.56863 - 1.04785i) q^{5} +(-0.0322770 - 0.0136328i) q^{6} +(1.35535 - 1.56416i) q^{7} +(2.82391 + 0.159795i) q^{8} +(2.87789 - 0.845025i) q^{9} +O(q^{10})\)	\(q+(-0.730057 + 1.21120i) q^{2} +(0.00352593 + 0.0245234i) q^{3} +(-0.934035 - 1.76850i) q^{4} +(-3.56863 - 1.04785i) q^{5} +(-0.0322770 - 0.0136328i) q^{6} +(1.35535 - 1.56416i) q^{7} +(2.82391 + 0.159795i) q^{8} +(2.87789 - 0.845025i) q^{9} +(3.87446 - 3.55736i) q^{10} +(-1.98812 - 3.09358i) q^{11} +(0.0400762 - 0.0291413i) q^{12} +(2.32067 - 2.01087i) q^{13} +(0.905033 + 2.78353i) q^{14} +(0.0131140 - 0.0912096i) q^{15} +(-2.25516 + 3.30367i) q^{16} +(-3.89631 - 1.77939i) q^{17} +(-1.07752 + 4.10263i) q^{18} +(-1.30211 + 0.594653i) q^{19} +(1.48012 + 7.28984i) q^{20} +(0.0431373 + 0.0277227i) q^{21} +(5.19840 - 0.149536i) q^{22} +(-2.42579 - 4.13709i) q^{23} +(0.00603818 + 0.0698153i) q^{24} +(7.43090 + 4.77555i) q^{25} +(0.741358 + 4.27886i) q^{26} +(0.0617465 + 0.135206i) q^{27} +(-4.03215 - 0.935956i) q^{28} +(2.72932 + 1.24644i) q^{29} +(0.100900 + 0.0824719i) q^{30} +(-6.07375 - 0.873274i) q^{31} +(-2.35503 - 5.14333i) q^{32} +(0.0688551 - 0.0596633i) q^{33} +(4.99973 - 3.42018i) q^{34} +(-6.47575 + 4.16171i) q^{35} +(-4.18247 - 4.30026i) q^{36} +(7.98668 - 2.34510i) q^{37} +(0.230366 - 2.01125i) q^{38} +(0.0574960 + 0.0498206i) q^{39} +(-9.91006 - 3.52927i) q^{40} +(7.37673 + 2.16600i) q^{41} +(-0.0650706 + 0.0320090i) q^{42} +(-7.98064 + 1.14744i) q^{43} +(-3.61401 + 6.40550i) q^{44} -11.1556 q^{45} +(6.78183 + 0.0821879i) q^{46} +3.26843i q^{47} +(-0.0889688 - 0.0436556i) q^{48} +(0.386588 + 2.68878i) q^{49} +(-11.2091 + 5.51392i) q^{50} +(0.0298984 - 0.101825i) q^{51} +(-5.72381 - 2.22588i) q^{52} +(-0.700256 + 0.808138i) q^{53} +(-0.208841 - 0.0239204i) q^{54} +(3.85329 + 13.1231i) q^{55} +(4.07733 - 4.20046i) q^{56} +(-0.0191741 - 0.0298354i) q^{57} +(-3.50225 + 2.39580i) q^{58} +(-0.117997 - 0.136175i) q^{59} +(-0.173553 + 0.0620009i) q^{60} +(-0.643931 + 4.47864i) q^{61} +(5.49190 - 6.71902i) q^{62} +(2.57880 - 5.64678i) q^{63} +(7.94893 + 0.902496i) q^{64} +(-10.3887 + 4.74437i) q^{65} +(0.0219963 + 0.126955i) q^{66} +(7.25750 - 11.2929i) q^{67} +(0.492452 + 8.55262i) q^{68} +(0.0929024 - 0.0740756i) q^{69} +(-0.313021 - 10.8817i) q^{70} +(4.86718 - 7.57348i) q^{71} +(8.26193 - 1.92640i) q^{72} +(-4.65097 - 10.1842i) q^{73} +(-2.99033 + 11.3856i) q^{74} +(-0.0909118 + 0.199069i) q^{75} +(2.26786 + 1.74735i) q^{76} +(-7.53346 - 1.08315i) q^{77} +(-0.102318 + 0.0332676i) q^{78} +(8.76095 + 10.1107i) q^{79} +(11.5096 - 9.42654i) q^{80} +(7.56663 - 4.86278i) q^{81} +(-8.00891 + 7.35343i) q^{82} +(3.37850 + 11.5061i) q^{83} +(0.00873570 - 0.102182i) q^{84} +(12.0400 + 10.4327i) q^{85} +(4.43653 - 10.5039i) q^{86} +(-0.0209435 + 0.0713271i) q^{87} +(-5.11994 - 9.05368i) q^{88} +(4.45134 - 0.640006i) q^{89} +(8.14421 - 13.5117i) q^{90} -6.35534i q^{91} +(-5.05067 + 8.15419i) q^{92} -0.152028i q^{93} +(-3.95874 - 2.38614i) q^{94} +(5.26985 - 0.757691i) q^{95} +(0.117828 - 0.0758884i) q^{96} +(2.42428 - 8.25634i) q^{97} +(-3.53890 - 1.49472i) q^{98} +(-8.33575 - 7.22297i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9}+O(q^{10}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26} - 18 q^{27} - 11 q^{28} - 11 q^{30} - 11 q^{32} - 22 q^{33} + 11 q^{34} + 2 q^{35} - 41 q^{36} + 44 q^{38} - 99 q^{40} - 18 q^{41} + 99 q^{42} - 22 q^{43} - 88 q^{44} + 45 q^{46} - 100 q^{48} - 28 q^{49} + 14 q^{50} - 22 q^{51} - 118 q^{52} + 102 q^{54} - 66 q^{56} - 22 q^{57} + 43 q^{58} - 6 q^{59} - 33 q^{60} - 56 q^{62} + 18 q^{64} - 22 q^{65} + 22 q^{66} - 22 q^{67} - 10 q^{70} - 23 q^{72} - 18 q^{73} + 14 q^{75} + 44 q^{76} + 98 q^{78} + 88 q^{80} + 4 q^{81} + 14 q^{82} - 22 q^{83} + 143 q^{84} + 99 q^{86} + 77 q^{88} - 22 q^{89} + 176 q^{90} + 36 q^{92} + 111 q^{94} + 101 q^{96} - 22 q^{97} + 121 q^{98} - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

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