LMFDB - Embedded newform 177.2.f.a.11.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [177,2,Mod(2,177)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(177, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([29, 1]))

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

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

chi := DirichletCharacter("177.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 177 = 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	177.f (of order $58$, degree $28$, 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:	$1.41335211578$
Analytic rank:	$0$
Dimension:	$504$
Relative dimension:	$18$ over $\Q(\zeta_{58})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label			11.14
Character	$\chi$	$=$	177.11
Dual form			177.2.f.a.161.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.62507 - 0.357705i) q^{2} +(-1.66573 - 0.474715i) q^{3} +(0.697752 - 0.322814i) q^{4} +(2.79117 + 0.774965i) q^{5} +(-2.87673 - 0.175607i) q^{6} +(2.93861 - 2.78359i) q^{7} +(-1.63093 + 1.23980i) q^{8} +(2.54929 + 1.58149i) q^{9} +O(q^{10})$	\(q+(1.62507 - 0.357705i) q^{2} +(-1.66573 - 0.474715i) q^{3} +(0.697752 - 0.322814i) q^{4} +(2.79117 + 0.774965i) q^{5} +(-2.87673 - 0.175607i) q^{6} +(2.93861 - 2.78359i) q^{7} +(-1.63093 + 1.23980i) q^{8} +(2.54929 + 1.58149i) q^{9} +(4.81306 + 0.260957i) q^{10} +(-1.85137 - 2.17961i) q^{11} +(-1.31551 + 0.206487i) q^{12} +(-0.767010 - 2.27641i) q^{13} +(3.77974 - 5.57469i) q^{14} +(-4.28144 - 2.61589i) q^{15} +(-3.20233 + 3.77007i) q^{16} +(-3.60840 + 3.80934i) q^{17} +(4.70849 + 1.65814i) q^{18} +(2.04640 + 5.13607i) q^{19} +(2.19772 - 0.360297i) q^{20} +(-6.21633 + 3.24171i) q^{21} +(-3.78827 - 2.87977i) q^{22} +(0.428688 - 0.0466226i) q^{23} +(3.30524 - 1.29094i) q^{24} +(2.90579 + 1.74835i) q^{25} +(-2.06073 - 3.42496i) q^{26} +(-3.49566 - 3.84452i) q^{27} +(1.15183 - 2.89088i) q^{28} +(-1.38545 + 6.29416i) q^{29} +(-7.89337 - 2.71952i) q^{30} +(-6.53127 - 2.60229i) q^{31} +(-1.93621 + 3.65208i) q^{32} +(2.04919 + 4.50950i) q^{33} +(-4.50128 + 7.48119i) q^{34} +(10.3593 - 5.49218i) q^{35} +(2.28930 + 0.280541i) q^{36} +(-1.66967 + 2.19642i) q^{37} +(5.16274 + 7.61448i) q^{38} +(0.196985 + 4.15598i) q^{39} +(-5.51302 + 2.19659i) q^{40} +(0.390639 - 3.59187i) q^{41} +(-8.94240 + 7.49162i) q^{42} +(-3.52813 - 2.99682i) q^{43} +(-1.99541 - 0.923174i) q^{44} +(5.88991 + 6.38983i) q^{45} +(0.679971 - 0.229109i) q^{46} +(-2.39620 - 8.63034i) q^{47} +(7.12392 - 4.75972i) q^{48} +(0.508029 - 9.37004i) q^{49} +(5.34751 + 1.80179i) q^{50} +(7.81896 - 4.63236i) q^{51} +(-1.27004 - 1.34076i) q^{52} +(9.81708 - 0.532266i) q^{53} +(-7.05591 - 4.99720i) q^{54} +(-3.47839 - 7.51841i) q^{55} +(-1.34156 + 8.18314i) q^{56} +(-0.970569 - 9.52675i) q^{57} +10.7240i q^{58} +(6.61518 - 3.90376i) q^{59} +(-3.83183 - 0.443133i) q^{60} +(1.43688 + 6.52779i) q^{61} +(-11.5446 - 1.89265i) q^{62} +(11.8936 - 2.44881i) q^{63} +(0.806575 - 2.90502i) q^{64} +(-0.376723 - 6.94825i) q^{65} +(4.94315 + 6.59526i) q^{66} +(8.25946 + 10.8651i) q^{67} +(-1.28806 + 3.82282i) q^{68} +(-0.736209 - 0.125844i) q^{69} +(14.8701 - 12.6308i) q^{70} +(-4.00474 + 1.11191i) q^{71} +(-6.11846 + 0.581311i) q^{72} +(-7.57680 - 5.13720i) q^{73} +(-1.92767 + 4.16658i) q^{74} +(-4.01028 - 4.29170i) q^{75} +(3.08588 + 2.92310i) q^{76} +(-11.5076 - 1.25153i) q^{77} +(1.80673 + 6.68330i) q^{78} +(1.30078 + 7.93443i) q^{79} +(-11.8599 + 8.04123i) q^{80} +(3.99777 + 8.06336i) q^{81} +(-0.650014 - 5.97678i) q^{82} +(-1.51791 - 2.86308i) q^{83} +(-3.29099 + 4.26863i) q^{84} +(-13.0238 + 7.83615i) q^{85} +(-6.80545 - 3.60802i) q^{86} +(5.29571 - 9.82665i) q^{87} +(5.72174 + 1.25945i) q^{88} +(6.64208 + 1.46203i) q^{89} +(11.8572 + 8.27707i) q^{90} +(-8.59053 - 4.55441i) q^{91} +(0.284067 - 0.170918i) q^{92} +(9.64395 + 7.43520i) q^{93} +(-6.98112 - 13.1678i) q^{94} +(1.73157 + 15.9216i) q^{95} +(4.95889 - 5.16422i) q^{96} +(2.81783 - 1.91053i) q^{97} +(-2.52613 - 15.4087i) q^{98} +(-1.27266 - 8.48438i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 504 q - 27 q^{3} - 70 q^{4} - 29 q^{6} - 58 q^{7} - 19 q^{9}+O(q^{10}) $ 504 * q - 27 * q^3 - 70 * q^4 - 29 * q^6 - 58 * q^7 - 19 * q^9	$ 504 q - 27 q^{3} - 70 q^{4} - 29 q^{6} - 58 q^{7} - 19 q^{9} - 58 q^{10} - 15 q^{12} - 58 q^{13} - 38 q^{15} - 66 q^{16} - 29 q^{18} - 66 q^{19} - 24 q^{21} - 62 q^{22} - 29 q^{24} - 20 q^{25} - 54 q^{27} - 26 q^{28} - 29 q^{30} - 58 q^{31} - 29 q^{33} - 58 q^{34} + 13 q^{36} - 58 q^{37} - 29 q^{39} - 58 q^{40} - 29 q^{42} - 58 q^{43} - q^{45} - 46 q^{46} + 147 q^{48} - 48 q^{49} + 59 q^{51} - 58 q^{52} + 174 q^{54} - 58 q^{55} + 83 q^{57} + 250 q^{60} - 58 q^{61} + 82 q^{63} + 10 q^{64} + 226 q^{66} - 58 q^{67} + 87 q^{69} - 58 q^{70} + 145 q^{72} - 58 q^{73} - 28 q^{75} - 150 q^{76} - 13 q^{78} - 30 q^{79} + 13 q^{81} - 58 q^{82} - 69 q^{84} - 86 q^{85} - 36 q^{87} + 22 q^{88} - 29 q^{90} - 58 q^{91} - 29 q^{93} - 162 q^{94} - 29 q^{96} - 58 q^{97} - 29 q^{99}+O(q^{100}) $ 504 * q - 27 * q^3 - 70 * q^4 - 29 * q^6 - 58 * q^7 - 19 * q^9 - 58 * q^10 - 15 * q^12 - 58 * q^13 - 38 * q^15 - 66 * q^16 - 29 * q^18 - 66 * q^19 - 24 * q^21 - 62 * q^22 - 29 * q^24 - 20 * q^25 - 54 * q^27 - 26 * q^28 - 29 * q^30 - 58 * q^31 - 29 * q^33 - 58 * q^34 + 13 * q^36 - 58 * q^37 - 29 * q^39 - 58 * q^40 - 29 * q^42 - 58 * q^43 - q^45 - 46 * q^46 + 147 * q^48 - 48 * q^49 + 59 * q^51 - 58 * q^52 + 174 * q^54 - 58 * q^55 + 83 * q^57 + 250 * q^60 - 58 * q^61 + 82 * q^63 + 10 * q^64 + 226 * q^66 - 58 * q^67 + 87 * q^69 - 58 * q^70 + 145 * q^72 - 58 * q^73 - 28 * q^75 - 150 * q^76 - 13 * q^78 - 30 * q^79 + 13 * q^81 - 58 * q^82 - 69 * q^84 - 86 * q^85 - 36 * q^87 + 22 * q^88 - 29 * q^90 - 58 * q^91 - 29 * q^93 - 162 * q^94 - 29 * q^96 - 58 * q^97 - 29 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/177\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{25}{58}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.62507	−	0.357705i	1.14910	−	0.252936i	0.400716	−	0.916202i	$-0.368762\pi$
$2$	1.62507	−	0.357705i	1.14910	−	0.252936i	0.748383	+	0.663267i	$0.230830\pi$
$3$	−1.66573	−	0.474715i	−0.961708	−	0.274077i
$3$	−1.66573	−	0.474715i	−0.961708	−	0.274077i
$4$	0.697752	−	0.322814i	0.348876	−	0.161407i
$5$	2.79117	+	0.774965i	1.24825	+	0.346575i	0.827946	−	0.560808i	$-0.189509\pi$
$5$	2.79117	+	0.774965i	1.24825	+	0.346575i	0.420305	+	0.907383i	$0.361923\pi$
$6$	−2.87673	−	0.175607i	−1.17442	−	0.0716912i
$7$	2.93861	−	2.78359i	1.11069	−	1.05210i	0.112397	−	0.993663i	$-0.464147\pi$
$7$	2.93861	−	2.78359i	1.11069	−	1.05210i	0.998291	−	0.0584366i	$-0.0186115\pi$
$8$	−1.63093	+	1.23980i	−0.576621	+	0.438336i
$9$	2.54929	+	1.58149i	0.849764	+	0.527164i
$10$	4.81306	+	0.260957i	1.52202	+	0.0825218i
$11$	−1.85137	−	2.17961i	−0.558210	−	0.657176i	0.408587	−	0.912719i	$-0.366021\pi$
$11$	−1.85137	−	2.17961i	−0.558210	−	0.657176i	−0.966798	+	0.255543i	$0.917746\pi$
$12$	−1.31551	+	0.206487i	−0.379755	+	0.0596077i
$13$	−0.767010	−	2.27641i	−0.212730	−	0.631361i	−0.999893	−	0.0146160i	$-0.995347\pi$
$13$	−0.767010	−	2.27641i	−0.212730	−	0.631361i	0.787163	−	0.616745i	$-0.211549\pi$
$14$	3.77974	−	5.57469i	1.01018	−	1.48990i
$15$	−4.28144	−	2.61589i	−1.10546	−	0.675421i
$16$	−3.20233	+	3.77007i	−0.800582	+	0.942518i
$17$	−3.60840	+	3.80934i	−0.875165	+	0.923901i	−0.997646	−	0.0685699i	$-0.978156\pi$
$17$	−3.60840	+	3.80934i	−0.875165	+	0.923901i	0.122481	+	0.992471i	$0.460915\pi$
$18$	4.70849	+	1.65814i	1.10980	+	0.390828i
$19$	2.04640	+	5.13607i	0.469476	+	1.17830i	0.953001	+	0.302966i	$0.0979768\pi$
$19$	2.04640	+	5.13607i	0.469476	+	1.17830i	−0.483525	+	0.875330i	$0.660644\pi$
$20$	2.19772	−	0.360297i	0.491424	−	0.0805649i
$21$	−6.21633	+	3.24171i	−1.35651	+	0.707399i
$22$	−3.78827	−	2.87977i	−0.807662	−	0.613969i
$23$	0.428688	−	0.0466226i	0.0893876	−	0.00972148i	−0.0633159	−	0.997994i	$-0.520168\pi$
$23$	0.428688	−	0.0466226i	0.0893876	−	0.00972148i	0.152703	+	0.988272i	$0.451202\pi$
$24$	3.30524	−	1.29094i	0.674679	−	0.263513i
$25$	2.90579	+	1.74835i	0.581158	+	0.349671i
$26$	−2.06073	−	3.42496i	−0.404142	−	0.671689i
$27$	−3.49566	−	3.84452i	−0.672741	−	0.739878i
$28$	1.15183	−	2.89088i	0.217676	−	0.546326i
$29$	−1.38545	+	6.29416i	−0.257271	+	1.16880i	0.653839	+	0.756633i	$0.273157\pi$
$29$	−1.38545	+	6.29416i	−0.257271	+	1.16880i	−0.911111	+	0.412162i	$0.864774\pi$
$30$	−7.89337	−	2.71952i	−1.44113	−	0.496514i
$31$	−6.53127	−	2.60229i	−1.17305	−	0.467386i	−0.299489	−	0.954100i	$-0.596816\pi$
$31$	−6.53127	−	2.60229i	−1.17305	−	0.467386i	−0.873561	+	0.486714i	$0.838195\pi$
$32$	−1.93621	+	3.65208i	−0.342277	+	0.645602i
$33$	2.04919	+	4.50950i	0.356718	+	0.785004i
$34$	−4.50128	+	7.48119i	−0.771964	+	1.28301i
$35$	10.3593	−	5.49218i	1.75105	−	0.928347i
$36$	2.28930	+	0.280541i	0.381550	+	0.0467568i
$37$	−1.66967	+	2.19642i	−0.274492	+	0.361088i	−0.912596	−	0.408862i	$-0.865926\pi$
$37$	−1.66967	+	2.19642i	−0.274492	+	0.361088i	0.638104	+	0.769950i	$0.279719\pi$
$38$	5.16274	+	7.61448i	0.837508	+	1.23523i
$39$	0.196985	+	4.15598i	0.0315429	+	0.665490i
$40$	−5.51302	+	2.19659i	−0.871684	+	0.347311i
$41$	0.390639	−	3.59187i	0.0610076	−	0.560956i	−0.923248	−	0.384205i	$-0.874476\pi$
$41$	0.390639	−	3.59187i	0.0610076	−	0.560956i	0.984256	−	0.176751i	$-0.0565588\pi$
$42$	−8.94240	+	7.49162i	−1.37984	+	1.15598i
$43$	−3.52813	−	2.99682i	−0.538035	−	0.457011i	0.336700	−	0.941612i	$-0.390689\pi$
$43$	−3.52813	−	2.99682i	−0.538035	−	0.457011i	−0.874736	+	0.484601i	$0.838965\pi$
$44$	−1.99541	−	0.923174i	−0.300819	−	0.139174i
$45$	5.88991	+	6.38983i	0.878016	+	0.952539i
$46$	0.679971	−	0.229109i	0.100256	−	0.0337803i
$47$	−2.39620	−	8.63034i	−0.349522	−	1.25886i	−0.904311	−	0.426874i	$-0.859615\pi$
$47$	−2.39620	−	8.63034i	−0.349522	−	1.25886i	0.554789	−	0.831991i	$-0.312799\pi$
$48$	7.12392	−	4.75972i	1.02825	−	0.687006i
$49$	0.508029	−	9.37004i	0.0725755	−	1.33858i
$50$	5.34751	+	1.80179i	0.756252	+	0.254811i
$51$	7.81896	−	4.63236i	1.09487	−	0.648660i
$52$	−1.27004	−	1.34076i	−0.176123	−	0.185931i
$53$	9.81708	−	0.532266i	1.34848	−	0.0731124i	0.634306	−	0.773082i	$-0.281286\pi$
$53$	9.81708	−	0.532266i	1.34848	−	0.0731124i	0.714173	+	0.699969i	$0.246803\pi$
$54$	−7.05591	−	4.99720i	−0.960187	−	0.680033i
$55$	−3.47839	−	7.51841i	−0.469025	−	1.01378i
$56$	−1.34156	+	8.18314i	−0.179273	+	1.09352i
$57$	−0.970569	−	9.52675i	−0.128555	−	1.26185i
$58$			10.7240i			1.40813i
$59$	6.61518	−	3.90376i	0.861223	−	0.508227i
$59$	6.61518	−	3.90376i	0.861223	−	0.508227i
$60$	−3.83183	−	0.443133i	−0.494688	−	0.0572082i
$61$	1.43688	+	6.52779i	0.183973	+	0.835798i	0.974680	+	0.223604i	$0.0717821\pi$
$61$	1.43688	+	6.52779i	0.183973	+	0.835798i	−0.790707	+	0.612195i	$0.790287\pi$
$62$	−11.5446	−	1.89265i	−1.46617	−	0.240366i
$63$	11.8936	−	2.44881i	1.49845	−	0.308521i
$64$	0.806575	−	2.90502i	0.100822	−	0.363127i
$65$	−0.376723	−	6.94825i	−0.0467267	−	0.861824i
$66$	4.94315	+	6.59526i	0.608460	+	0.811820i
$67$	8.25946	+	10.8651i	1.00905	+	1.32739i	0.944157	+	0.329496i	$0.106879\pi$
$67$	8.25946	+	10.8651i	1.00905	+	1.32739i	0.0648967	+	0.997892i	$0.479328\pi$
$68$	−1.28806	+	3.82282i	−0.156200	+	0.463585i
$69$	−0.736209	−	0.125844i	−0.0886291	−	0.0151498i
$70$	14.8701	−	12.6308i	1.77732	−	1.50967i
$71$	−4.00474	+	1.11191i	−0.475276	+	0.131960i	−0.496902	−	0.867807i	$-0.665529\pi$
$71$	−4.00474	+	1.11191i	−0.475276	+	0.131960i	0.0216267	+	0.999766i	$0.493115\pi$
$72$	−6.11846	+	0.581311i	−0.721067	+	0.0685082i
$73$	−7.57680	−	5.13720i	−0.886797	−	0.601263i	0.0304700	−	0.999536i	$-0.490300\pi$
$73$	−7.57680	−	5.13720i	−0.886797	−	0.601263i	−0.917267	+	0.398272i	$0.869610\pi$
$74$	−1.92767	+	4.16658i	−0.224087	+	0.484355i
$75$	−4.01028	−	4.29170i	−0.463067	−	0.495563i
$76$	3.08588	+	2.92310i	0.353975	+	0.335302i
$77$	−11.5076	−	1.25153i	−1.31141	−	0.142625i
$78$	1.80673	+	6.68330i	0.204572	+	0.756735i
$79$	1.30078	+	7.93443i	0.146350	+	0.892693i	0.953289	+	0.302059i	$0.0976741\pi$
$79$	1.30078	+	7.93443i	0.146350	+	0.892693i	−0.806939	+	0.590634i	$0.798878\pi$
$80$	−11.8599	+	8.04123i	−1.32598	+	0.899037i
$81$	3.99777	+	8.06336i	0.444196	+	0.895929i
$82$	−0.650014	−	5.97678i	−0.0717820	−	0.660024i
$83$	−1.51791	−	2.86308i	−0.166612	−	0.314264i	0.786121	−	0.618073i	$-0.212086\pi$
$83$	−1.51791	−	2.86308i	−0.166612	−	0.314264i	−0.952733	+	0.303809i	$0.901741\pi$
$84$	−3.29099	+	4.26863i	−0.359076	+	0.465746i
$85$	−13.0238	+	7.83615i	−1.41263	+	0.849949i
$86$	−6.80545	−	3.60802i	−0.733850	−	0.389063i
$87$	5.29571	−	9.82665i	0.567760	−	1.05353i
$88$	5.72174	+	1.25945i	0.609940	+	0.134258i
$89$	6.64208	+	1.46203i	0.704059	+	0.154975i	0.552549	−	0.833481i	$-0.313655\pi$
$89$	6.64208	+	1.46203i	0.704059	+	0.154975i	0.151510	+	0.988456i	$0.451586\pi$
$90$	11.8572	+	8.27707i	1.24986	+	0.872480i
$91$	−8.59053	−	4.55441i	−0.900532	−	0.477432i
$92$	0.284067	−	0.170918i	0.0296161	−	0.0178194i
$93$	9.64395	+	7.43520i	1.00003	+	0.770994i
$94$	−6.98112	−	13.1678i	−0.720047	−	1.35815i
$95$	1.73157	+	15.9216i	0.177656	+	1.63352i
$96$	4.95889	−	5.16422i	0.506115	−	0.527071i
$97$	2.81783	−	1.91053i	0.286107	−	0.193985i	−0.409688	−	0.912226i	$-0.634362\pi$
$97$	2.81783	−	1.91053i	0.286107	−	0.193985i	0.695795	+	0.718240i	$0.255052\pi$
$98$	−2.52613	−	15.4087i	−0.255178	−	1.55651i
$99$	−1.27266	−	8.48438i	−0.127907	−	0.852712i
$100$	2.59191	+	0.281888i	0.259191	+	0.0281888i
$101$	−3.19583	−	3.02725i	−0.317997	−	0.301223i	0.512006	−	0.858982i	$-0.328903\pi$
$101$	−3.19583	−	3.02725i	−0.317997	−	0.301223i	−0.830003	+	0.557759i	$0.811661\pi$
$102$	11.0493	−	10.3248i	1.09405	−	1.02231i
$103$	4.49391	−	9.71342i	0.442798	−	0.957092i	−0.549761	−	0.835322i	$-0.685281\pi$
$103$	4.49391	−	9.71342i	0.442798	−	0.957092i	0.992558	−	0.121769i	$-0.0388569\pi$
$104$	4.07323	+	2.76172i	0.399413	+	0.270809i
$105$	−19.8631	+	4.23073i	−1.93844	+	0.412877i
$106$	15.7631	−	4.37659i	1.53104	−	0.425092i
$107$	−5.23545	+	4.44703i	−0.506130	+	0.429910i	−0.863723	−	0.503967i	$-0.831873\pi$
$107$	−5.23545	+	4.44703i	−0.506130	+	0.429910i	0.357593	+	0.933877i	$0.383597\pi$
$108$	−3.68017	−	1.55407i	−0.354125	−	0.149541i
$109$	−5.14081	+	15.2574i	−0.492400	+	1.46139i	0.357233	+	0.934015i	$0.383720\pi$
$109$	−5.14081	+	15.2574i	−0.492400	+	1.46139i	−0.849633	+	0.527375i	$0.823176\pi$
$110$	−8.34200	−	10.9737i	−0.795378	−	1.04630i
$111$	3.82389	−	2.86601i	0.362947	−	0.272030i
$112$	1.08398	+	19.9927i	0.102426	+	1.88914i
$113$	2.48014	−	8.93266i	0.233312	−	0.840314i	−0.750464	−	0.660911i	$-0.770170\pi$
$113$	2.48014	−	8.93266i	0.233312	−	0.840314i	0.983776	−	0.179402i	$-0.0574163\pi$
$114$	−4.98501	−	15.1345i	−0.466889	−	1.41747i
$115$	1.23267	+	0.202086i	0.114947	+	0.0188446i
$116$	1.06515	+	4.83900i	0.0988962	+	0.449290i
$117$	1.64478	−	7.01624i	0.152060	−	0.648652i
$118$	9.35374	−	8.71018i	0.861082	−	0.801837i
$119$			21.2385i			1.94693i
$120$	10.2259	−	1.04180i	0.933496	−	0.0951029i
$121$	0.456506	−	2.78456i	0.0415005	−	0.253142i
$122$	4.67005	+	10.0942i	0.422807	+	0.913881i
$123$	−2.35581	+	5.79763i	−0.212417	+	0.522755i
$124$	−5.39726	+	0.292631i	−0.484688	+	0.0262790i
$125$	−3.20486	−	3.38333i	−0.286651	−	0.302614i
$126$	18.4520	−	8.23389i	1.64383	−	0.733534i
$127$	18.3338	+	6.17736i	1.62686	+	0.548152i	0.977245	−	0.212113i	$-0.0680345\pi$
$127$	18.3338	+	6.17736i	1.62686	+	0.548152i	0.649613	+	0.760265i	$0.274931\pi$
$128$	0.719177	−	13.2644i	0.0635669	−	1.17242i
$129$	4.45427	+	6.66675i	0.392177	+	0.586974i
$130$	−3.09763	−	11.1566i	−0.271680	−	0.978502i
$131$	9.32080	−	3.14054i	0.814362	−	0.274390i	0.118856	−	0.992911i	$-0.462077\pi$
$131$	9.32080	−	3.14054i	0.814362	−	0.274390i	0.695505	+	0.718521i	$0.255181\pi$
$132$	2.88556	+	2.48501i	0.251156	+	0.216292i
$133$	20.3103	+	9.39655i	1.76113	+	0.814784i
$134$	17.3087	+	14.7022i	1.49525	+	1.27007i
$135$	−6.77763	−	13.4397i	−0.583326	−	1.15671i
$136$	1.16222	−	10.6865i	0.0996599	−	0.916358i
$137$	0.785218	−	0.312859i	0.0670857	−	0.0267294i	−0.336354	−	0.941736i	$-0.609194\pi$
$137$	0.785218	−	0.312859i	0.0670857	−	0.0267294i	0.403440	+	0.915006i	$0.367815\pi$
$138$	−1.24141	+	0.0588402i	−0.105676	+	0.00500881i
$139$	−9.55663	−	14.0950i	−0.810583	−	1.19552i	−0.977788	−	0.209599i	$-0.932784\pi$
$139$	−9.55663	−	14.0950i	−0.810583	−	1.19552i	0.167204	−	0.985922i	$-0.446526\pi$
$140$	5.45530	−	7.17632i	0.461057	−	0.606510i
$141$	−0.105536	+	15.5133i	−0.00888774	+	1.30646i
$142$	−6.11025	+	3.23945i	−0.512761	+	0.271849i
$143$	−3.54164	+	5.88626i	−0.296167	+	0.492234i
$144$	−14.1260	+	4.54656i	−1.17717	+	0.378880i
$145$	−8.74478	+	16.4944i	−0.726214	+	1.36979i
$146$	−14.1504	−	5.63805i	−1.17110	−	0.466608i
$147$	−5.29434	+	15.3668i	−0.436670	+	1.26743i
$148$	−0.455982	+	2.07155i	−0.0374815	+	0.170280i
$149$	3.41966	−	8.58270i	0.280149	−	0.703122i	−0.719810	−	0.694171i	$-0.755771\pi$
$149$	3.41966	−	8.58270i	0.280149	−	0.703122i	0.999960	−	0.00895149i	$-0.00284939\pi$
$150$	−8.05215	−	5.53983i	−0.657456	−	0.452325i
$151$	−3.33552	−	5.54367i	−0.271441	−	0.451138i	0.690913	−	0.722938i	$-0.257209\pi$
$151$	−3.33552	−	5.54367i	−0.271441	−	0.451138i	−0.962354	+	0.271800i	$0.912381\pi$
$152$	−9.70525	−	5.83946i	−0.787200	−	0.473642i
$153$	−15.2233	+	4.00446i	−1.23073	+	0.323742i
$154$	−19.1483	+	2.08251i	−1.54302	+	0.167813i
$155$	−16.2132	−	12.3250i	−1.30228	−	0.989964i
$156$	1.47906	+	2.83625i	0.118419	+	0.227082i
$157$	3.88456	−	0.636841i	0.310022	−	0.0508255i	−0.00476277	−	0.999989i	$-0.501516\pi$
$157$	3.88456	−	0.636841i	0.310022	−	0.0508255i	0.314784	+	0.949163i	$0.398068\pi$
$158$	4.95205	+	12.4287i	0.393964	+	0.988776i
$159$	−16.6052	−	3.77371i	−1.31688	−	0.299274i
$160$	−8.23453	+	8.69309i	−0.650997	+	0.687249i
$161$	1.12997	−	1.33030i	0.0890537	−	0.104842i
$162$	9.38096	+	11.6735i	0.737038	+	0.917158i
$163$	−2.20441	+	3.25127i	−0.172663	+	0.254659i	−0.904168	−	0.427177i	$-0.859508\pi$
$163$	−2.20441	+	3.25127i	−0.172663	+	0.254659i	0.731505	+	0.681836i	$0.238818\pi$
$164$	−0.886938	−	2.63234i	−0.0692582	−	0.205551i
$165$	2.22494	+	14.1749i	0.173211	+	1.10351i
$166$	−3.49085	−	4.10974i	−0.270942	−	0.318978i
$167$	8.41511	+	0.456254i	0.651181	+	0.0353060i	0.376771	−	0.926307i	$-0.377035\pi$
$167$	8.41511	+	0.456254i	0.651181	+	0.0353060i	0.274411	+	0.961613i	$0.411517\pi$
$168$	6.11933	−	12.9940i	0.472117	−	1.00251i
$169$	5.75549	−	4.37521i	0.442730	−	0.336555i
$170$	−18.3615	+	17.3930i	−1.40827	+	1.33398i
$171$	−2.90579	+	16.3297i	−0.222211	+	1.24876i
$172$	−3.42918	−	0.952107i	−0.261473	−	0.0725975i
$173$	8.78977	−	4.06658i	0.668274	−	0.309176i	−0.0562596	−	0.998416i	$-0.517917\pi$
$173$	8.78977	−	4.06658i	0.668274	−	0.309176i	0.724533	+	0.689240i	$0.242055\pi$
$174$	5.09086	−	17.8633i	0.385937	−	1.35421i
$175$	13.4057	−	2.95081i	1.01337	−	0.223060i
$176$	14.1460			1.06629
$177$	−12.8723	+	3.36228i	−0.967538	+	0.252724i
$178$	11.3168			0.848232
$179$	−10.9774	+	2.41632i	−0.820493	+	0.180604i	−0.605331	−	0.795974i	$-0.706959\pi$
$179$	−10.9774	+	2.41632i	−0.820493	+	0.180604i	−0.215162	+	0.976578i	$0.569028\pi$
$180$	6.17243	+	2.55717i	0.460065	+	0.190600i
$181$	−9.06241	+	4.19272i	−0.673604	+	0.311642i	−0.726708	−	0.686947i	$-0.758951\pi$
$181$	−9.06241	+	4.19272i	−0.673604	+	0.311642i	0.0531041	+	0.998589i	$0.483088\pi$
$182$	−15.5894	−	4.32836i	−1.15556	−	0.320840i
$183$	0.705400	−	11.5556i	0.0521447	−	0.854217i
$184$	−0.641358	+	0.607526i	−0.0472815	+	0.0447874i
$185$	−6.36249	+	4.83664i	−0.467779	+	0.355597i
$186$	18.3317	+	8.63304i	1.34415	+	0.633005i
$187$	14.9834	+	0.812374i	1.09569	+	0.0594067i
$188$	−4.45795	−	5.24831i	−0.325130	−	0.382772i
$189$	−20.9740	−	1.56702i	−1.52563	−	0.113984i
$190$	8.50915	+	25.2543i	0.617319	+	1.83214i
$191$	−8.94453	+	13.1922i	−0.647204	+	0.954554i	0.352620	+	0.935767i	$0.385291\pi$
$191$	−8.94453	+	13.1922i	−0.647204	+	0.954554i	−0.999823	+	0.0187875i	$0.994019\pi$
$192$	−2.72259	+	4.45608i	−0.196486	+	0.321590i
$193$	5.75241	−	6.77226i	0.414068	−	0.487478i	−0.515103	−	0.857128i	$-0.672247\pi$
$193$	5.75241	−	6.77226i	0.414068	−	0.487478i	0.929171	+	0.369650i	$0.120522\pi$
$194$	3.89576	−	4.11271i	0.279699	−	0.295275i
$195$	−2.67092	+	11.7527i	−0.191269	+	0.841630i
$196$	−2.67031	−	6.70196i	−0.190736	−	0.478712i
$197$	5.15243	−	0.844698i	0.367096	−	0.0601823i	0.0245889	−	0.999698i	$-0.492172\pi$
$197$	5.15243	−	0.844698i	0.367096	−	0.0601823i	0.342507	+	0.939515i	$0.388724\pi$
$198$	−5.10307	−	13.3325i	−0.362660	−	0.947498i
$199$	−17.5013	−	13.3041i	−1.24063	−	0.943105i	−0.241010	−	0.970523i	$-0.577479\pi$
$199$	−17.5013	−	13.3041i	−1.24063	−	0.943105i	−0.999624	+	0.0274174i	$0.991272\pi$
$200$	−6.90676	+	0.751155i	−0.488381	+	0.0531147i
$201$	−8.60016	−	22.0192i	−0.606609	−	1.55312i
$202$	−6.27632	−	3.77634i	−0.441601	−	0.265702i
$203$	13.4491	+	22.3526i	0.943941	+	1.56884i
$204$	3.96030	−	5.75631i	0.277277	−	0.403022i
$205$	3.87392	−	9.72279i	0.270566	−	0.679069i
$206$	3.82838	−	17.3925i	0.266736	−	1.21179i
$207$	1.16658	+	0.559111i	0.0810831	+	0.0388609i
$208$	11.0384	+	4.39811i	0.765378	+	0.304954i
$209$	7.40597	−	13.9691i	0.512281	−	0.966265i
$210$	−30.7655	+	13.9804i	−2.12302	+	0.964736i
$211$	−11.0583	+	18.3791i	−0.761286	+	1.26527i	0.197266	+	0.980350i	$0.436794\pi$
$211$	−11.0583	+	18.3791i	−0.761286	+	1.26527i	−0.958552	+	0.284917i	$0.908034\pi$
$212$	6.67806	−	3.54048i	0.458651	−	0.243161i
$213$	7.19865	+	0.0489720i	0.493243	+	0.00335550i
$214$	−6.91725	+	9.09948i	−0.472853	+	0.622028i
$215$	−7.52520	−	11.0988i	−0.513214	−	0.756934i
$216$	10.4676	+	1.93622i	0.712232	+	0.131743i
$217$	−26.4365	+	10.5333i	−1.79463	+	0.715046i
$218$	−2.89653	+	26.6332i	−0.196178	+	1.80383i
$219$	10.1822	+	12.1540i	0.688047	+	0.821290i
$220$	−4.85410	−	4.12311i	−0.327263	−	0.277980i
$221$	11.4393	+	5.29238i	0.769490	+	0.356004i
$222$	5.18890	−	6.02529i	0.348256	−	0.404391i
$223$	−24.3194	+	8.19416i	−1.62855	+	0.548722i	−0.977613	−	0.210412i	$-0.932520\pi$
$223$	−24.3194	+	8.19416i	−1.62855	+	0.548722i	−0.650935	+	0.759133i	$0.725623\pi$
$224$	4.47615	+	16.1216i	0.299075	+	1.07717i
$225$	4.64269	+	9.05255i	0.309513	+	0.603503i
$226$	0.835146	−	15.4034i	0.0555531	−	1.02462i
$227$	6.08954	+	2.05180i	0.404177	+	0.136183i	0.514045	−	0.857763i	$-0.328146\pi$
$227$	6.08954	+	2.05180i	0.404177	+	0.136183i	−0.109868	+	0.993946i	$0.535043\pi$
$228$	−3.75259	−	6.33400i	−0.248521	−	0.419479i
$229$	−0.552113	−	0.582858i	−0.0364846	−	0.0385164i	0.707498	−	0.706716i	$-0.249824\pi$
$229$	−0.552113	−	0.582858i	−0.0364846	−	0.0385164i	−0.743982	+	0.668199i	$0.767065\pi$
$230$	2.07547	−	0.112529i	0.136852	−	0.00741991i
$231$	18.5744	+	7.54753i	1.22211	+	0.496591i
$232$	−5.54394	−	11.9830i	−0.363977	−	0.786724i
$233$	2.56100	−	15.6214i	0.167777	−	1.02339i	−0.759909	−	0.650029i	$-0.774757\pi$
$233$	2.56100	−	15.6214i	0.167777	−	1.02339i	0.927686	−	0.373362i	$-0.121795\pi$
$234$	0.163145	−	11.9902i	0.0106651	−	0.783826i
$235$		−	25.9457i		−	1.69251i
$236$	3.35556	−	4.85934i	0.218429	−	0.316316i
$237$	1.59985	−	13.8341i	0.103921	−	0.898621i
$238$	7.59711	+	34.5140i	0.492448	+	2.23721i
$239$	−2.88497	−	0.472967i	−0.186613	−	0.0305937i	0.0677506	−	0.997702i	$-0.478418\pi$
$239$	−2.88497	−	0.472967i	−0.186613	−	0.0305937i	−0.254364	+	0.967109i	$0.581866\pi$
$240$	23.5727	−	7.76441i	1.52161	−	0.501190i
$241$	3.10711	−	11.1908i	0.200147	−	0.720863i	−0.793525	−	0.608538i	$-0.791756\pi$
$241$	3.10711	−	11.1908i	0.200147	−	0.720863i	0.993672	−	0.112325i	$-0.0358298\pi$
$242$	−0.254198	−	4.68841i	−0.0163405	−	0.301382i
$243$	−2.83139	−	15.3292i	−0.181634	−	0.983366i
$244$	3.10985	+	4.09094i	0.199088	+	0.261895i
$245$	8.67945	−	25.7597i	0.554510	−	1.64573i
$246$	−1.75452	+	10.2642i	−0.111864	+	0.654424i
$247$	10.1222	−	8.59786i	0.644059	−	0.547069i
$248$	13.8784	−	3.85331i	0.881278	−	0.244686i
$249$	1.16927	+	5.48968i	0.0740996	+	0.347894i
$250$	−6.41835	−	4.35175i	−0.405932	−	0.275229i
$251$	−5.93054	+	12.8186i	−0.374332	+	0.809106i	0.625256	+	0.780419i	$0.284994\pi$
$251$	−5.93054	+	12.8186i	−0.374332	+	0.809106i	−0.999588	+	0.0286862i	$0.990868\pi$
$252$	7.50827	−	5.54809i	0.472976	−	0.349497i
$253$	−0.895280	−	0.848054i	−0.0562858	−	0.0533167i
$254$	32.0033	+	3.48057i	2.00807	+	0.218391i
$255$	25.4140	−	6.87029i	1.59149	−	0.430234i
$256$	−2.60053	−	15.8625i	−0.162533	−	0.991407i
$257$	9.76117	−	6.61824i	0.608885	−	0.412834i	−0.217403	−	0.976082i	$-0.569759\pi$
$257$	9.76117	−	6.61824i	0.608885	−	0.412834i	0.826288	+	0.563248i	$0.190448\pi$
$258$	9.62323	+	9.24063i	0.599116	+	0.575296i
$259$	1.20742	+	11.1021i	0.0750257	+	0.689850i
$260$	−2.50585	−	4.72654i	−0.155406	−	0.293128i
$261$	−13.4861	+	13.8546i	−0.834767	+	0.857576i
$262$	14.0236	−	8.43770i	0.866379	−	0.521283i
$263$	0.946271	+	0.501681i	0.0583496	+	0.0309350i	0.497328	−	0.867563i	$-0.334315\pi$
$263$	0.946271	+	0.501681i	0.0583496	+	0.0309350i	−0.438978	+	0.898498i	$0.644659\pi$
$264$	−8.93298	−	4.81410i	−0.549787	−	0.296287i
$265$	27.8136	+	6.12225i	1.70858	+	0.376087i
$266$	36.3669	+	8.00496i	2.22980	+	0.490815i
$267$	−10.3698	−	5.58844i	−0.634624	−	0.342007i
$268$	9.27048	+	4.91490i	0.566285	+	0.300225i
$269$	−5.04078	+	3.03294i	−0.307342	+	0.184922i	−0.660866	−	0.750504i	$-0.729811\pi$
$269$	−5.04078	+	3.03294i	−0.307342	+	0.184922i	0.353524	+	0.935425i	$0.384983\pi$
$270$	−15.8216	−	19.4161i	−0.962872	−	1.18163i
$271$	1.16486	+	2.19717i	0.0707605	+	0.133468i	0.916368	−	0.400336i	$-0.131107\pi$
$271$	1.16486	+	2.19717i	0.0707605	+	0.133468i	−0.845608	+	0.533805i	$0.820762\pi$
$272$	−2.80621	−	25.8027i	−0.170152	−	1.56452i
$273$	12.1474	+	11.6645i	0.735196	+	0.705965i
$274$	1.16412	−	0.789295i	0.0703273	−	0.0476831i
$275$	−1.56898	−	9.57033i	−0.0946128	−	0.577113i
$276$	−0.554316	+	0.149851i	−0.0333659	+	0.00901997i
$277$	12.9676	+	1.41031i	0.779147	+	0.0847373i	0.489045	−	0.872258i	$-0.337345\pi$
$277$	12.9676	+	1.41031i	0.779147	+	0.0847373i	0.290102	+	0.956996i	$0.406311\pi$
$278$	−20.5721	−	19.4869i	−1.23383	−	1.16875i
$279$	−12.5346	−	16.9631i	−0.750426	−	1.01556i
$280$	−10.0862	+	21.8009i	−0.602764	+	1.30285i
$281$	17.0528	+	11.5621i	1.01728	+	0.689734i	0.951357	−	0.308090i	$-0.0996899\pi$
$281$	17.0528	+	11.5621i	1.01728	+	0.689734i	0.0659247	+	0.997825i	$0.479000\pi$
$282$	5.37768	+	25.2480i	0.320236	+	1.50349i
$283$	18.2038	−	5.05427i	1.08211	−	0.300445i	0.319683	−	0.947525i	$-0.396424\pi$
$283$	18.2038	−	5.05427i	1.08211	−	0.300445i	0.762422	+	0.647080i	$0.224010\pi$
$284$	−2.43538	+	2.06863i	−0.144513	+	0.122750i
$285$	4.67388	−	27.3430i	0.276857	−	1.61966i
$286$	−3.64988	+	10.8325i	−0.215822	+	0.640536i
$287$	−8.85037	−	11.6425i	−0.522421	−	0.687233i
$288$	−10.7117	+	6.24811i	−0.631192	+	0.368173i
$289$	−0.570171	−	10.5162i	−0.0335395	−	0.618599i
$290$	−8.31075	+	29.9326i	−0.488024	+	1.75770i
$291$	−5.60069	+	1.84476i	−0.328318	+	0.108142i
$292$	−6.94509	−	1.13859i	−0.406431	−	0.0666309i
$293$	3.70510	+	16.8324i	0.216454	+	0.983362i	0.952050	+	0.305942i	$0.0989712\pi$
$293$	3.70510	+	16.8324i	0.216454	+	0.983362i	−0.735596	+	0.677421i	$0.763098\pi$
$294$	−3.10691	+	26.8659i	−0.181198	+	1.56685i
$295$	21.4894	−	5.76955i	1.25116	−	0.335916i
$296$		−	5.65227i		−	0.328531i
$297$	−1.90776	+	14.7368i	−0.110699	+	0.855117i
$298$	2.48711	−	15.1707i	0.144075	−	0.878817i
$299$	−0.434940	−	0.940107i	−0.0251532	−	0.0543678i
$300$	−4.18360	−	1.69997i	−0.241541	−	0.0981478i
$301$	−18.7097	+	1.01441i	−1.07841	+	0.0584698i
$302$	−7.40345	−	7.81573i	−0.426021	−	0.449745i
$303$	3.88630	+	6.55969i	0.223262	+	0.376844i
$304$	−25.9166	−	8.73233i	−1.48642	−	0.500833i
$305$	−1.04824	+	19.3337i	−0.0600223	+	1.10705i
$306$	−23.3065	+	11.9530i	−1.33235	+	0.683307i
$307$	0.485718	+	1.74940i	0.0277214	+	0.0998435i	0.976117	−	0.217247i	$-0.0697078\pi$
$307$	0.485718	+	1.74940i	0.0277214	+	0.0998435i	−0.948395	+	0.317091i	$0.897294\pi$
$308$	−8.43346	+	2.84156i	−0.480541	+	0.161913i
$309$	−12.0967	+	14.0466i	−0.688159	+	0.799082i
$310$	−30.7563	−	14.2294i	−1.74684	−	0.808175i
$311$	−15.4563	−	13.1287i	−0.876445	−	0.744459i	0.0914509	−	0.995810i	$-0.470850\pi$
$311$	−15.4563	−	13.1287i	−0.876445	−	0.744459i	−0.967896	+	0.251350i	$0.919125\pi$
$312$	−5.47386	−	6.53390i	−0.309897	−	0.369909i
$313$	−1.39771	+	12.8518i	−0.0790035	+	0.726425i	0.885910	+	0.463857i	$0.153535\pi$
$313$	−1.39771	+	12.8518i	−0.0790035	+	0.726425i	−0.964913	+	0.262568i	$0.915431\pi$
$314$	6.08489	−	2.42444i	0.343390	−	0.136819i
$315$	35.0948	+	2.38206i	1.97737	+	0.134214i
$316$	3.46897	+	5.11636i	0.195145	+	0.287817i
$317$	−16.5930	+	21.8278i	−0.931958	+	1.22597i	0.0419719	+	0.999119i	$0.486636\pi$
$317$	−16.5930	+	21.8278i	−0.931958	+	1.22597i	−0.973930	+	0.226851i	$0.927157\pi$
$318$	−28.3346	−	0.192758i	−1.58892	−	0.0108093i
$319$	16.2838	−	8.63310i	0.911715	−	0.483361i
$320$	4.50258	−	7.48334i	0.251702	−	0.418332i
$321$	10.8319	−	4.92219i	0.604577	−	0.274730i
$322$	1.36042	−	2.56602i	0.0758132	−	0.142999i
$323$	−26.9493	−	10.7376i	−1.49950	−	0.597455i
$324$	5.39242	+	4.33569i	0.299579	+	0.240872i
$325$	1.75120	−	7.95576i	0.0971388	−	0.441306i
$326$	−2.41933	+	6.07207i	−0.133994	+	0.336301i
$327$	15.8061	−	22.9742i	0.874078	−	1.27048i
$328$	3.81610	+	6.34241i	0.210709	+	0.350201i
$329$	−31.0649	−	18.6911i	−1.71266	−	1.03047i
$330$	8.68610	+	22.2393i	0.478154	+	1.22423i
$331$	0.178529	−	0.0194162i	0.00981283	−	0.00106721i	−0.103211	−	0.994659i	$-0.532912\pi$
$331$	0.178529	−	0.0194162i	0.00981283	−	0.00106721i	0.113024	+	0.993592i	$0.463946\pi$
$332$	−1.98337	−	1.50772i	−0.108851	−	0.0827466i
$333$	−7.73009	+	2.95873i	−0.423606	+	0.162137i
$334$	13.8384	−	2.26868i	0.757201	−	0.124137i
$335$	14.6335	+	36.7273i	0.799512	+	2.00663i
$336$	7.68525	−	33.8170i	0.419265	−	1.84487i
$337$	−2.84916	+	3.00782i	−0.155204	+	0.163846i	−0.798960	−	0.601384i	$-0.794616\pi$
$337$	−2.84916	+	3.00782i	−0.155204	+	0.163846i	0.643757	+	0.765230i	$0.277375\pi$
$338$	7.78805	−	9.16880i	0.423614	−	0.498717i
$339$	−8.37170	+	13.7020i	−0.454688	+	0.744191i
$340$	−6.55774	+	9.67195i	−0.355644	+	0.524535i
$341$	6.41984	+	19.0534i	0.347654	+	1.03180i
$342$	1.11910	+	27.5764i	0.0605142	+	1.49116i
$343$	−6.24656	−	7.35402i	−0.337282	−	0.397080i
$344$	9.46961	+	0.513428i	0.510567	+	0.0276822i
$345$	−1.95736	−	0.921789i	−0.105381	−	0.0496274i
$346$	12.8294	−	9.75263i	0.689711	−	0.524304i
$347$	9.93805	−	9.41382i	0.533502	−	0.505360i	−0.372845	−	0.927894i	$-0.621618\pi$
$347$	9.93805	−	9.41382i	0.533502	−	0.505360i	0.906347	+	0.422533i	$0.138859\pi$
$348$	0.522908	−	8.56610i	0.0280308	−	0.459191i
$349$	31.0571	+	8.62296i	1.66245	+	0.461577i	0.966532	−	0.256546i	$-0.0825846\pi$
$349$	31.0571	+	8.62296i	1.66245	+	0.461577i	0.695916	+	0.718123i	$0.254998\pi$
$350$	20.7297	−	9.59056i	1.10805	−	0.512637i
$351$	−6.07048	+	10.9063i	−0.324018	+	0.582137i
$352$	11.5447	−	2.54119i	0.615336	−	0.135446i
$353$	9.79188			0.521169			0.260584	−	0.965451i	$-0.416085\pi$
$353$	9.79188			0.521169			0.260584	+	0.965451i	$0.416085\pi$
$354$	−19.7156	+	10.0684i	−1.04787	+	0.535130i
$355$	−12.0396			−0.638997
$356$	5.10649	−	1.12402i	0.270643	−	0.0595731i
$357$	10.0822	−	35.3775i	0.533608	−	1.87238i
$358$	−16.9748	+	7.85338i	−0.897146	+	0.415064i
$359$	−18.7083	−	5.19433i	−0.987385	−	0.274146i	−0.263948	−	0.964537i	$-0.585025\pi$
$359$	−18.7083	−	5.19433i	−0.987385	−	0.274146i	−0.723437	+	0.690391i	$0.757439\pi$
$360$	−17.5282	−	3.11905i	−0.923815	−	0.164388i
$361$	−8.39759	+	7.95462i	−0.441979	+	0.418664i
$362$	−13.2273	+	10.0551i	−0.695212	+	0.528486i
$363$	−2.08229	+	4.42161i	−0.109292	+	0.232074i
$364$	−7.46429	−	0.404702i	−0.391235	−	0.0212122i
$365$	−17.1670	−	20.2106i	−0.898562	−	1.05787i
$366$	−2.98718	−	19.0310i	−0.156143	−	0.994768i
$367$	−5.70150	−	16.9214i	−0.297616	−	0.883292i	−0.987256	−	0.159140i	$-0.949128\pi$
$367$	−5.70150	−	16.9214i	−0.297616	−	0.883292i	0.689640	−	0.724152i	$-0.257769\pi$
$368$	−1.19703	+	1.76548i	−0.0623994	+	0.0920323i
$369$	6.67636	−	8.53893i	0.347558	−	0.444519i
$370$	−8.60940	+	10.1358i	−0.447582	+	0.526934i
$371$	27.3669	−	28.8909i	1.42082	−	1.49994i
$372$	9.12928	+	2.07472i	0.473331	+	0.107569i
$373$	5.76476	+	14.4684i	0.298488	+	0.749148i	0.999357	+	0.0358578i	$0.0114163\pi$
$373$	5.76476	+	14.4684i	0.298488	+	0.749148i	−0.700869	+	0.713290i	$0.747204\pi$
$374$	24.6396	−	4.03946i	1.27408	−	0.208875i
$375$	3.73230	+	7.15709i	0.192735	+	0.369591i
$376$	14.6080	+	11.1047i	0.753348	+	0.572680i
$377$	15.3907	−	1.67384i	0.792662	−	0.0862071i
$378$	−34.6447	+	4.95598i	−1.78193	+	0.254908i
$379$	18.0709	+	10.8729i	0.928239	+	0.558503i	0.897495	−	0.441025i	$-0.145385\pi$
$379$	18.0709	+	10.8729i	0.928239	+	0.558503i	0.0307437	+	0.999527i	$0.490212\pi$
$380$	6.34792	+	10.5503i	0.325641	+	0.541220i
$381$	−27.6065	−	18.9931i	−1.41433	−	0.973047i
$382$	−9.81659	+	24.6378i	−0.502260	+	1.26058i
$383$	−3.04782	+	13.8464i	−0.155736	+	0.707517i	0.832430	+	0.554130i	$0.186949\pi$
$383$	−3.04782	+	13.8464i	−0.155736	+	0.707517i	−0.988166	+	0.153387i	$0.950982\pi$
$384$	−7.49478	+	21.7535i	−0.382467	+	1.11010i
$385$	−31.1498	−	12.4112i	−1.58754	−	0.632534i
$386$	6.92560	−	13.0631i	0.352504	−	0.664893i
$387$	−4.25479	−	13.2195i	−0.216283	−	0.671984i
$388$	1.34940	−	2.24272i	0.0685053	−	0.113857i
$389$	12.8844	−	6.83087i	0.653264	−	0.346339i	−0.108591	−	0.994087i	$-0.534634\pi$
$389$	12.8844	−	6.83087i	0.653264	−	0.346339i	0.761855	+	0.647748i	$0.224289\pi$
$390$	−0.136429	+	20.0544i	−0.00690834	+	1.01549i
$391$	−1.36928	+	1.80125i	−0.0692472	+	0.0910932i
$392$	10.7884	+	15.9117i	0.544898	+	0.803665i
$393$	−17.0168	+	0.806561i	−0.858382	+	0.0406856i
$394$	8.07091	−	3.21575i	0.406607	−	0.162007i
$395$	−2.51820	+	23.1544i	−0.126704	+	1.16503i
$396$	−3.62688	−	5.50916i	−0.182258	−	0.276846i
$397$	−23.6822	−	20.1158i	−1.18857	−	1.00958i	−0.999619	−	0.0275973i	$-0.991214\pi$
$397$	−23.6822	−	20.1158i	−1.18857	−	1.00958i	−0.188954	−	0.981986i	$-0.560510\pi$
$398$	−33.1998	−	15.3599i	−1.66416	−	0.769920i
$399$	−29.3707	−	25.2937i	−1.47038	−	1.26627i
$400$	−15.8967	+	5.35623i	−0.794836	+	0.267811i
$401$	6.16127	+	22.1909i	0.307679	+	1.10816i	0.942144	+	0.335208i	$0.108807\pi$
$401$	6.16127	+	22.1909i	0.307679	+	1.10816i	−0.634465	+	0.772952i	$0.718780\pi$
$402$	−21.8523	−	32.7065i	−1.08989	−	1.63125i
$403$	−0.914328	+	16.8638i	−0.0455459	+	0.840046i
$404$	−3.20714	−	1.08061i	−0.159561	−	0.0537624i
$405$	4.90963	+	25.6044i	0.243962	+	1.27229i
$406$	29.8514	+	31.5137i	1.48150	+	1.56400i
$407$	7.87851	−	0.427160i	0.390523	−	0.0211735i
$408$	−7.00898	+	17.2490i	−0.346996	+	0.853954i
$409$	−0.409860	−	0.885897i	−0.0202663	−	0.0438048i	0.897178	−	0.441669i	$-0.145614\pi$
$409$	−0.409860	−	0.885897i	−0.0202663	−	0.0438048i	−0.917444	+	0.397864i	$0.869751\pi$
$410$	2.81749	−	17.1860i	0.139146	−	0.848754i
$411$	−1.45648	+	0.148383i	−0.0718427	+	0.00731921i
$412$		−	8.22826i		−	0.405377i
$413$	8.57291	−	29.8856i	0.421845	−	1.47057i
$414$	2.09578	+	0.491303i	0.103002	+	0.0241462i
$415$	−2.01796	−	9.16767i	−0.0990576	−	0.450023i
$416$	9.79870	+	1.60642i	0.480421	+	0.0787610i
$417$	9.22764	+	28.0151i	0.451879	+	1.37190i
$418$	7.03839	−	25.3500i	0.344259	−	1.23991i
$419$	1.40540	+	25.9210i	0.0686581	+	1.26633i	0.806452	+	0.591299i	$0.201385\pi$
$419$	1.40540	+	25.9210i	0.0686581	+	1.26633i	−0.737794	+	0.675026i	$0.764132\pi$
$420$	−12.4937	+	9.36408i	−0.609633	+	0.456920i
$421$	−19.0141	−	25.0127i	−0.926692	−	1.21904i	−0.975448	−	0.220232i	$-0.929319\pi$
$421$	−19.0141	−	25.0127i	−0.926692	−	1.21904i	0.0487554	−	0.998811i	$-0.484475\pi$
$422$	−11.3963	+	33.8229i	−0.554761	+	1.64647i
$423$	7.54019	−	25.7908i	0.366617	−	1.25399i
$424$	−15.3511	+	13.0393i	−0.745514	+	0.633245i
$425$	−17.1453	+	4.76038i	−0.831671	+	0.230912i
$426$	11.7158	−	2.49541i	0.567634	−	0.120903i
$427$	22.3931	+	15.1829i	1.08368	+	0.734753i
$428$	−2.21748	+	4.79300i	−0.107186	+	0.231678i
$429$	8.69371	−	8.12362i	0.419736	−	0.392212i
$430$	−16.1991	−	15.3446i	−0.781190	−	0.739982i
$431$	2.33235	+	0.253659i	0.112346	+	0.0122183i	0.164119	−	0.986441i	$-0.447522\pi$
$431$	2.33235	+	0.253659i	0.112346	+	0.0122183i	−0.0517735	+	0.998659i	$0.516487\pi$
$432$	25.6884	−	0.867490i	1.23593	−	0.0417371i
$433$	0.694515	+	4.23636i	0.0333763	+	0.203586i	0.998251	−	0.0591258i	$-0.0188313\pi$
$433$	0.694515	+	4.23636i	0.0333763	+	0.203586i	−0.964874	+	0.262712i	$0.915383\pi$
$434$	−39.1934	+	26.5738i	−1.88135	+	1.27558i
$435$	22.3966	−	23.3239i	1.07383	−	1.11829i
$436$	1.33829	+	12.3054i	0.0640925	+	0.589321i
$437$	1.11672	+	2.10636i	0.0534201	+	0.100761i
$438$	20.8943	+	16.1089i	0.998368	+	0.769712i
$439$	−18.8552	+	11.3448i	−0.899909	+	0.541457i	−0.888705	−	0.458480i	$-0.848394\pi$
$439$	−18.8552	+	11.3448i	−0.899909	+	0.541457i	−0.0112044	+	0.999937i	$0.503567\pi$
$440$	14.9943	+	7.94950i	0.714827	+	0.378977i
$441$	16.1138	−	23.0835i	0.767321	−	1.09921i
$442$	20.4828	+	4.50860i	0.974266	+	0.214452i
$443$	9.58745	+	2.11036i	0.455514	+	0.100266i	0.436800	−	0.899559i	$-0.356112\pi$
$443$	9.58745	+	2.11036i	0.455514	+	0.100266i	0.0187138	+	0.999825i	$0.494043\pi$
$444$	1.74294	−	3.23417i	0.0827161	−	0.153487i
$445$	17.4062	+	9.22816i	0.825131	+	0.437457i
$446$	−36.5897	+	22.0153i	−1.73257	+	1.04245i
$447$	−9.77056	+	12.6731i	−0.462131	+	0.599416i
$448$	−5.71619	−	10.7819i	−0.270065	−	0.509396i
$449$	−2.83012	−	26.0225i	−0.133562	−	1.22808i	−0.848615	−	0.529010i	$-0.822563\pi$
$449$	−2.83012	−	26.0225i	−0.133562	−	1.22808i	0.715054	−	0.699069i	$-0.246402\pi$
$450$	10.7828	+	13.0503i	0.508308	+	0.615198i
$451$	−8.55208	+	5.79845i	−0.402702	+	0.273038i
$452$	−1.15307	−	7.03340i	−0.0542358	−	0.330823i
$453$	2.92439	+	10.8177i	0.137400	+	0.508258i
$454$	10.6299	+	1.15607i	0.498885	+	0.0542570i
$455$	−20.4481	−	19.3695i	−0.958624	−	0.908057i
$456$	13.3942	+	14.3342i	0.627242	+	0.671259i
$457$	−1.15125	+	2.48839i	−0.0538532	+	0.116402i	−0.932634	−	0.360824i	$-0.882496\pi$
$457$	−1.15125	+	2.48839i	−0.0538532	+	0.116402i	0.878781	+	0.477226i	$0.158358\pi$
$458$	−1.10571	−	0.749692i	−0.0516666	−	0.0350308i
$459$	27.2588	+	0.556389i	1.27233	+	0.0259700i
$460$	0.925336	−	0.256918i	0.0431440	−	0.0119789i
$461$	14.3326	−	12.1742i	0.667535	−	0.567010i	−0.248241	−	0.968698i	$-0.579852\pi$
$461$	14.3326	−	12.1742i	0.667535	−	0.567010i	0.915776	+	0.401689i	$0.131577\pi$
$462$	32.8845	+	5.62112i	1.52993	+	0.261518i
$463$	12.7863	−	37.9484i	0.594230	−	1.76361i	−0.0499670	−	0.998751i	$-0.515912\pi$
$463$	12.7863	−	37.9484i	0.594230	−	1.76361i	0.644197	−	0.764860i	$-0.277192\pi$
$464$	−19.2928	−	25.3792i	−0.895644	−	1.17820i
$465$	21.1559	+	28.2267i	0.981082	+	1.30898i
$466$	−1.42605	−	26.3020i	−0.0660605	−	1.21841i
$467$	−5.51096	+	19.8487i	−0.255017	+	0.918488i	0.719559	+	0.694431i	$0.244344\pi$
$467$	−5.51096	+	19.8487i	−0.255017	+	0.918488i	−0.974576	+	0.224057i	$0.928070\pi$
$468$	−1.11729	−	5.42656i	−0.0516469	−	0.250843i
$469$	54.5154	+	8.93735i	2.51729	+	0.412689i
$470$	−9.28093	−	42.1637i	−0.428097	−	1.94487i
$471$	−6.77293	−	0.783256i	−0.312080	−	0.0360905i
$472$	−5.94901	+	14.5683i	−0.273826	+	0.670560i
$473$			13.2382i			0.608692i
$474$	−2.34867	−	23.0537i	−0.107878	−	1.05889i
$475$	−3.03328	+	18.5022i	−0.139176	+	0.848938i
$476$	6.85609	+	14.8192i	0.314248	+	0.679236i
$477$	25.8684	+	14.1687i	1.18443	+	0.648741i
$478$	−4.85746	+	0.263364i	−0.222175	+	0.0120460i
$479$	−2.30688	−	2.43534i	−0.105404	−	0.111274i	0.671159	−	0.741314i	$-0.265797\pi$
$479$	−2.30688	−	2.43534i	−0.105404	−	0.111274i	−0.776562	+	0.630040i	$0.783038\pi$
$480$	17.8432	−	10.5712i	0.814428	−	0.482509i
$481$	6.28059	+	2.11618i	0.286370	+	0.0964893i
$482$	1.04627	−	19.2973i	0.0476562	−	0.878967i
$483$	−2.51373	+	1.67950i	−0.114379	+	0.0764200i
$484$	−0.580369	−	2.09030i	−0.0263804	−	0.0950137i
$485$	9.34564	−	3.14891i	0.424364	−	0.142985i
$486$	−10.0845	−	23.8982i	−0.457443	−	1.08404i
$487$	8.09036	+	3.74300i	0.366609	+	0.169612i	0.594540	−	0.804066i	$-0.297334\pi$
$487$	8.09036	+	3.74300i	0.366609	+	0.169612i	−0.227931	+	0.973677i	$0.573196\pi$
$488$	−10.4366	−	8.86494i	−0.472444	−	0.401297i
$489$	5.21538	−	4.36925i	0.235847	−	0.197584i
$490$	4.89035	−	44.9660i	0.220923	−	2.03136i
$491$	−14.3670	+	5.72434i	−0.648374	+	0.258336i	−0.671056	−	0.741407i	$-0.734159\pi$
$491$	−14.3670	+	5.72434i	−0.648374	+	0.258336i	0.0226814	+	0.999743i	$0.492780\pi$
$492$	0.227785	+	4.80580i	0.0102694	+	0.216662i
$493$	−18.9773	−	27.9895i	−0.854696	−	1.26058i
$494$	13.3738	−	17.5929i	0.601714	−	0.791541i
$495$	3.02288	−	24.6676i	0.135868	−	1.10873i
$496$	30.7261	−	16.2899i	1.37964	−	0.731440i
$497$	−8.67325	+	14.4150i	−0.389048	+	0.646603i
$498$	3.86384	+	8.50286i	0.173143	+	0.381022i
$499$	−13.7631	+	25.9600i	−0.616121	+	1.16213i	0.357491	+	0.933917i	$0.383632\pi$
$499$	−13.7631	+	25.9600i	−0.616121	+	1.16213i	−0.973612	+	0.228211i	$0.926712\pi$
$500$	−3.32838	−	1.32615i	−0.148850	−	0.0593072i
$501$	−13.8007	−	4.75478i	−0.616569	−	0.212428i
$502$	−5.05225	+	22.9526i	−0.225493	+	1.02442i
$503$	−11.0170	+	27.6506i	−0.491224	+	1.23288i	0.449370	+	0.893346i	$0.351648\pi$
$503$	−11.0170	+	27.6506i	−0.491224	+	1.23288i	−0.940594	+	0.339533i	$0.889731\pi$
$504$	−16.3616	+	18.7395i	−0.728803	+	0.834726i
$505$	−6.57411	−	10.9263i	−0.292544	−	0.486212i
$506$	−1.75825	−	1.05790i	−0.0781636	−	0.0470295i
$507$	−11.6641	+	4.55569i	−0.518019	+	0.202325i
$508$	14.7866	−	1.60814i	0.656047	−	0.0713495i
$509$	−8.68340	−	6.60095i	−0.384885	−	0.292582i	0.394784	−	0.918774i	$-0.370819\pi$
$509$	−8.68340	−	6.60095i	−0.384885	−	0.292582i	−0.779669	+	0.626192i	$0.784613\pi$
$510$	38.8420	−	20.2554i	1.71995	−	0.896925i
$511$	−36.5651	+	5.99454i	−1.61754	+	0.265183i
$512$	−0.0663739	−	0.166586i	−0.00293334	−	0.00736213i
$513$	12.5922	−	25.8214i	0.555960	−	1.14004i
$514$	13.4952	−	14.2467i	0.595248	−	0.628396i
$515$	20.0708	−	23.6292i	0.884427	−	1.04123i
$516$	5.26010	+	3.21384i	0.231563	+	0.141481i
$517$	−14.3745	+	21.2008i	−0.632189	+	0.932408i
$518$	5.93343	+	17.6098i	0.260700	+	0.773729i
$519$	−16.5718	+	2.60117i	−0.727422	+	0.114179i
$520$	9.22886	+	10.8651i	0.404712	+	0.476464i
$521$	−37.6716	−	2.04250i	−1.65042	−	0.0894834i	−0.794729	−	0.606964i	$-0.792387\pi$
$521$	−37.6716	−	2.04250i	−1.65042	−	0.0894834i	−0.855695	+	0.517481i	$0.826870\pi$
$522$	−16.9600	+	27.3387i	−0.742318	+	1.19658i
$523$	2.80068	−	2.12903i	0.122465	−	0.0930958i	−0.542149	−	0.840283i	$-0.682389\pi$
$523$	2.80068	−	2.12903i	0.122465	−	0.0930958i	0.664614	+	0.747187i	$0.268596\pi$
$524$	5.48979	−	5.20021i	0.239823	−	0.227172i
$525$	−23.7310	−	1.44863i	−1.03571	−	0.0632235i
$526$	1.71721	+	0.476782i	0.0748740	+	0.0207887i
$527$	33.4804	−	15.4897i	1.45843	−	0.674742i
$528$	−23.5633	−	6.71531i	−1.02546	−	0.292246i
$529$	−22.2807	+	4.90435i	−0.968725	+	0.213232i
$530$	47.3891			2.05845
$531$	23.0378	+	0.510023i	0.999755	+	0.0221331i
$532$	17.2049			0.745927
$533$	−8.47618	+	1.86575i	−0.367144	+	0.0808145i
$534$	−18.8507	−	5.37227i	−0.815751	−	0.232481i
$535$	−18.0593	+	8.35513i	−0.780773	+	0.361224i
$536$	−26.9412	−	7.48020i	−1.16368	−	0.323095i
$537$	19.4325	+	1.18623i	0.838574	+	0.0511898i
$538$	−7.10673	+	6.73185i	−0.306393	+	0.290231i
$539$	−21.3635	+	16.2401i	−0.920193	+	0.699512i
$540$	−9.06765	−	7.18969i	−0.390209	−	0.309395i
$541$	13.9413	+	0.755876i	0.599383	+	0.0324976i	0.351335	−	0.936250i	$-0.385728\pi$
$541$	13.9413	+	0.755876i	0.599383	+	0.0324976i	0.248049	+	0.968748i	$0.420211\pi$
$542$	2.67893	+	3.15388i	0.115070	+	0.135471i
$543$	17.0858	−	2.68186i	0.733224	−	0.115090i
$544$	−6.92539	−	20.5538i	−0.296924	−	0.881239i
$545$	−26.1728	+	38.6020i	−1.12112	+	1.65353i
$546$	23.9129	+	14.6104i	1.02338	+	0.625267i
$547$	17.5454	−	20.6561i	0.750188	−	0.883190i	−0.246102	−	0.969244i	$-0.579150\pi$
$547$	17.5454	−	20.6561i	0.750188	−	0.883190i	0.996290	+	0.0860540i	$0.0274258\pi$
$548$	0.446892	−	0.471778i	0.0190903	−	0.0201534i
$549$	−6.66064	+	18.9137i	−0.284269	+	0.807215i
$550$	−5.97305	−	14.9912i	−0.254692	−	0.639229i
$551$	−35.1624	+	5.76459i	−1.49797	+	0.245580i
$552$	1.35673	−	0.707510i	0.0577462	−	0.0301136i
$553$	25.9087	+	19.6953i	1.10175	+	0.837530i
$554$	21.5777	−	2.34672i	0.916750	−	0.0997026i
$555$	12.8942	−	5.03615i	0.547328	−	0.213773i
$556$	−11.2182	−	6.74978i	−0.475759	−	0.286255i
$557$	−15.9614	−	26.5280i	−0.676305	−	1.12403i	−0.984948	−	0.172850i	$-0.944702\pi$
$557$	−15.9614	−	26.5280i	−0.676305	−	1.12403i	0.308643	−	0.951178i	$-0.400125\pi$
$558$	−26.4374	−	23.0826i	−1.11918	−	0.977166i
$559$	−4.11587	+	10.3301i	−0.174083	+	0.436915i
$560$	−12.4681	+	56.6432i	−0.526874	+	2.39361i
$561$	−24.5725	−	8.46602i	−1.03745	−	0.357436i
$562$	31.8477	+	12.6893i	1.34342	+	0.535266i
$563$	−20.0767	+	37.8686i	−0.846131	+	1.59597i	−0.0438394	+	0.999039i	$0.513959\pi$
$563$	−20.0767	+	37.8686i	−0.846131	+	1.59597i	−0.802291	+	0.596933i	$0.796386\pi$
$564$	4.93428	+	10.8585i	0.207771	+	0.457226i
$565$	13.8450	−	23.0106i	0.582463	−	0.968062i
$566$	27.7746	−	14.7251i	1.16745	−	0.618944i
$567$	34.1930	+	12.5669i	1.43597	+	0.527759i
$568$	5.15291	−	6.77854i	0.216211	−	0.284421i
$569$	10.2342	+	15.0944i	0.429042	+	0.632789i	0.979350	−	0.202172i	$-0.0648001\pi$
$569$	10.2342	+	15.0944i	0.429042	+	0.632789i	−0.550308	+	0.834962i	$0.685490\pi$
$570$	−2.18534	−	46.1061i	−0.0915338	−	1.93117i
$571$	−15.0786	+	6.00787i	−0.631020	+	0.251421i	−0.663647	−	0.748046i	$-0.730992\pi$
$571$	−15.0786	+	6.00787i	−0.631020	+	0.251421i	0.0326266	+	0.999468i	$0.489613\pi$
$572$	−0.571020	+	5.25044i	−0.0238755	+	0.219532i
$573$	21.1617	−	17.7285i	0.884042	−	0.740619i
$574$	−18.5471	−	15.7540i	−0.774139	−	0.657560i
$575$	1.32719	+	0.614023i	0.0553476	+	0.0256065i
$576$	6.65046	−	6.13015i	0.277102	−	0.255423i
$577$	39.0012	−	13.1410i	1.62364	−	0.547068i	0.647100	−	0.762405i	$-0.275981\pi$
$577$	39.0012	−	13.1410i	1.62364	−	0.547068i	0.976540	+	0.215337i	$0.0690849\pi$
$578$	−4.68826	−	16.8856i	−0.195006	−	0.702348i
$579$	−12.7968	+	8.54998i	−0.531819	+	0.355325i
$580$	−0.777055	+	14.3319i	−0.0322655	+	0.595102i
$581$	−12.4302	−	4.18821i	−0.515691	−	0.173756i
$582$	−8.44164	+	5.00127i	−0.349917	+	0.207309i
$583$	−19.3352	−	20.4119i	−0.800782	−	0.845376i
$584$	18.7264	−	1.01531i	0.774902	−	0.0420140i
$585$	10.0282	−	18.3089i	0.414616	−	0.756979i
$586$	12.0421	+	26.0286i	0.497455	+	1.07523i
$587$	5.26102	−	32.0908i	0.217146	−	1.32453i	−0.623023	−	0.782204i	$-0.714096\pi$
$587$	5.26102	−	32.0908i	0.217146	−	1.32453i	0.840168	−	0.542326i	$-0.182456\pi$
$588$	1.26648	+	12.4313i	0.0522286	+	0.512657i
$589$		−	38.8704i		−	1.60163i
$590$	32.8580	−	17.0628i	1.35274	−	0.702464i
$591$	−8.98353	−	1.03890i	−0.369533	−	0.0427347i
$592$	−2.93381	−	13.3284i	−0.120579	−	0.547795i
$593$	9.66368	+	1.58428i	0.396840	+	0.0650586i	0.356898	−	0.934143i	$-0.383834\pi$
$593$	9.66368	+	1.58428i	0.396840	+	0.0650586i	0.0399420	+	0.999202i	$0.487283\pi$
$594$	2.17119	+	24.6308i	0.0890851	+	1.01061i
$595$	−16.4591	+	59.2802i	−0.674756	+	2.43025i
$596$	−0.384545	−	7.09251i	−0.0157516	−	0.290521i
$597$	22.8367	+	30.4692i	0.934644	+	1.24702i
$598$	−1.04309	−	1.37216i	−0.0426551	−	0.0561118i
$599$	1.35742	−	4.02869i	0.0554628	−	0.164608i	−0.916341	−	0.400399i	$-0.868872\pi$
$599$	1.35742	−	4.02869i	0.0554628	−	0.164608i	0.971804	+	0.235791i	$0.0757681\pi$
$600$	11.8614	+	2.02752i	0.484238	+	0.0827733i
$601$	0.670865	−	0.569838i	0.0273651	−	0.0232442i	−0.633599	−	0.773661i	$-0.718423\pi$
$601$	0.670865	−	0.569838i	0.0273651	−	0.0232442i	0.660965	+	0.750417i	$0.270147\pi$
$602$	−30.0418	+	8.34106i	−1.22441	+	0.339956i
$603$	3.87265	+	40.7607i	0.157706	+	1.65990i
$604$	−4.11694	−	2.79136i	−0.167516	−	0.113579i
$605$	3.43213	−	7.41842i	0.139536	−	0.301602i
$606$	8.66195	+	9.26981i	0.351868	+	0.376560i
$607$	−2.34365	−	2.22003i	−0.0951260	−	0.0901081i	0.638659	−	0.769490i	$-0.279489\pi$
$607$	−2.34365	−	2.22003i	−0.0951260	−	0.0901081i	−0.733785	+	0.679382i	$0.762248\pi$
$608$	−22.7196	−	2.47091i	−0.921401	−	0.100208i
$609$	−11.7914	−	43.6178i	−0.477812	−	1.76748i
$610$	5.21230	+	31.7936i	0.211040	+	1.28729i
$611$	−17.8082	+	12.0743i	−0.720444	+	0.488473i
$612$	−9.32939	+	7.70843i	−0.377118	+	0.311595i
$613$	2.69832	+	24.8106i	0.108984	+	1.00209i	0.913132	+	0.407663i	$0.133656\pi$
$613$	2.69832	+	24.8106i	0.108984	+	1.00209i	−0.804148	+	0.594429i	$0.797378\pi$
$614$	1.41510	+	2.66915i	0.0571086	+	0.107718i
$615$	−11.0684	+	14.3565i	−0.446323	+	0.578910i
$616$	20.3197	−	12.2260i	0.818706	−	0.492599i
$617$	−29.9666	−	15.8873i	−1.20641	−	0.639597i	−0.260954	−	0.965351i	$-0.584037\pi$
$617$	−29.9666	−	15.8873i	−1.20641	−	0.639597i	−0.945455	+	0.325754i	$0.894382\pi$
$618$	−14.6335	+	27.1537i	−0.588646	+	1.09228i
$619$	−14.4192	−	3.17390i	−0.579556	−	0.127570i	−0.0844884	−	0.996424i	$-0.526926\pi$
$619$	−14.4192	−	3.17390i	−0.579556	−	0.127570i	−0.495067	+	0.868855i	$0.664857\pi$
$620$	−15.2915	−	3.36591i	−0.614120	−	0.135178i
$621$	−1.67779	−	1.48512i	−0.0673274	−	0.0595959i
$622$	−29.8138	−	15.8063i	−1.19542	−	0.633773i
$623$	23.5881	−	14.1925i	0.945039	−	0.568611i
$624$	−16.2992	−	12.5662i	−0.652489	−	0.503049i
$625$	−14.2657	−	26.9080i	−0.570629	−	1.07632i
$626$	2.32576	+	21.3850i	0.0929561	+	0.854717i
$627$	−18.9677	+	19.7530i	−0.757496	+	0.788860i
$628$	2.50488	−	1.69835i	0.0999555	−	0.0677715i
$629$	−2.34205	−	14.2859i	−0.0933838	−	0.569616i
$630$	57.8836	−	8.68258i	2.30614	−	0.345922i
$631$	−33.6099	−	3.65530i	−1.33799	−	0.145515i	−0.589020	−	0.808119i	$-0.700486\pi$
$631$	−33.6099	−	3.65530i	−1.33799	−	0.145515i	−0.748970	+	0.662604i	$0.769451\pi$
$632$	−11.9586	−	11.3278i	−0.475688	−	0.450596i
$633$	27.1450	−	25.3650i	1.07892	−	1.00817i
$634$	−19.1570	+	41.4071i	−0.760820	+	1.64449i
$635$	46.3854	+	31.4501i	1.84075	+	1.24806i
$636$	−12.8045	+	2.72730i	−0.507733	+	0.108145i
$637$	−21.7197	+	6.03044i	−0.860565	+	0.238935i
$638$	23.3742	−	19.8542i	0.925392	−	0.786035i
$639$	−11.9677	−	3.49888i	−0.473436	−	0.138414i
$640$	12.2868	−	36.4660i	0.485679	−	1.44145i
$641$	3.89690	+	5.12629i	0.153918	+	0.202476i	0.866589	−	0.499023i	$-0.166308\pi$
$641$	3.89690	+	5.12629i	0.153918	+	0.202476i	−0.712670	+	0.701499i	$0.752514\pi$
$642$	15.8419	−	11.8735i	0.625230	−	0.468611i
$643$	1.22628	+	22.6174i	0.0483597	+	0.891942i	0.917588	+	0.397532i	$0.130133\pi$
$643$	1.22628	+	22.6174i	0.0483597	+	0.891942i	−0.869229	+	0.494410i	$0.835384\pi$
$644$	0.358996	−	1.29299i	0.0141464	−	0.0509508i
$645$	7.26614	+	22.0600i	0.286104	+	0.868610i
$646$	−47.6354	−	7.80943i	−1.87419	−	0.307258i
$647$	4.12019	+	18.7182i	0.161981	+	0.735889i	0.985648	+	0.168814i	$0.0539938\pi$
$647$	4.12019	+	18.7182i	0.161981	+	0.735889i	−0.823667	+	0.567074i	$0.808075\pi$
$648$	−16.5171	−	8.19436i	−0.648852	−	0.321905i
$649$	−20.7558	−	7.19116i	−0.814738	−	0.282278i
$650$		−	13.5551i		−	0.531674i
$651$	49.0364	−	4.99574i	1.92189	−	0.195798i
$652$	−0.488578	+	2.98019i	−0.0191342	+	0.116713i
$653$	−4.70505	−	10.1698i	−0.184123	−	0.397975i	0.793431	−	0.608660i	$-0.208293\pi$
$653$	−4.70505	−	10.1698i	−0.184123	−	0.397975i	−0.977554	+	0.210685i	$0.932431\pi$
$654$	17.4680	−	42.9886i	0.683054	−	1.68099i
$655$	28.4498	−	1.54250i	1.11162	−	0.0602705i
$656$	12.2907	+	12.9751i	0.479869	+	0.506592i
$657$	−11.1910	−	25.0789i	−0.436604	−	0.978419i
$658$	−57.1685	−	19.2623i	−2.22866	−	0.750923i
$659$	−0.902195	+	16.6400i	−0.0351445	+	0.648202i	0.926900	+	0.375309i	$0.122463\pi$
$659$	−0.902195	+	16.6400i	−0.0351445	+	0.648202i	−0.962044	+	0.272893i	$0.912019\pi$
$660$	6.12830	+	9.17229i	0.238544	+	0.357031i
$661$	5.60522	+	20.1882i	0.218018	+	0.785229i	0.988942	+	0.148302i	$0.0473808\pi$
$661$	5.60522	+	20.1882i	0.218018	+	0.785229i	−0.770924	+	0.636927i	$0.780205\pi$
$662$	0.283177	−	0.0954133i	0.0110060	−	0.00370834i
$663$	−16.5424	−	14.2461i	−0.642452	−	0.553271i
$664$	6.02525	+	2.78758i	0.233825	+	0.108179i
$665$	49.4076	+	41.9672i	1.91594	+	1.62742i
$666$	−11.5036	+	7.57324i	−0.445755	+	0.293457i
$667$	−0.300475	+	2.76282i	−0.0116344	+	0.106977i
$668$	6.01895	−	2.39817i	0.232880	−	0.0927879i
$669$	44.3994	−	2.10444i	1.71658	−	0.0813624i
$670$	36.9180	+	54.4499i	1.42627	+	2.10359i
$671$	11.5678	−	15.2172i	0.446571	−	0.587454i
$672$	0.197143	−	28.9791i	0.00760497	−	1.11789i
$673$	−37.2241	+	19.7350i	−1.43488	+	0.760727i	−0.990810	−	0.135263i	$-0.956812\pi$
$673$	−37.2241	+	19.7350i	−1.43488	+	0.760727i	−0.444074	+	0.895990i	$0.646467\pi$
$674$	−3.55417	+	5.90708i	−0.136902	+	0.227532i
$675$	−3.43607	−	17.2830i	−0.132255	−	0.665224i
$676$	2.60352	−	4.91077i	0.100136	−	0.188876i
$677$	11.0584	+	4.40606i	0.425008	+	0.169339i	0.572828	−	0.819676i	$-0.305846\pi$
$677$	11.0584	+	4.40606i	0.425008	+	0.169339i	−0.147820	+	0.989014i	$0.547226\pi$
$678$	−8.70333	+	25.2613i	−0.334250	+	0.970156i
$679$	2.96233	−	13.4580i	0.113684	−	0.516471i
$680$	11.5256	−	28.9271i	0.441987	−	1.10930i
$681$	−9.16948	−	6.30854i	−0.351375	−	0.241744i
$682$	17.2482	+	28.6667i	0.660467	+	1.09771i
$683$	−3.07641	−	1.85101i	−0.117716	−	0.0708271i	0.455478	−	0.890247i	$-0.349468\pi$
$683$	−3.07641	−	1.85101i	−0.117716	−	0.0708271i	−0.573194	+	0.819420i	$0.694296\pi$
$684$	3.24394	+	12.3321i	0.124035	+	0.471530i
$685$	2.43413	−	0.264728i	0.0930035	−	0.0101147i
$686$	−12.7817	−	9.71637i	−0.488006	−	0.370973i
$687$	0.642977	+	1.23298i	0.0245311	+	0.0470411i
$688$	22.5965	−	3.70451i	0.861483	−	0.141233i
$689$	−8.74145	−	21.9394i	−0.333023	−	0.835824i
$690$	−3.51058	−	0.797814i	−0.133646	−	0.0303723i
$691$	−22.2620	+	23.5018i	−0.846888	+	0.894049i	−0.995492	−	0.0948480i	$-0.969763\pi$
$691$	−22.2620	+	23.5018i	−0.846888	+	0.894049i	0.148604	+	0.988897i	$0.452522\pi$
$692$	4.82033	−	5.67493i	0.183241	−	0.215728i
$693$	−27.3569	−	21.3897i	−1.03920	−	0.812526i
$694$	12.7827	−	18.8530i	0.485223	−	0.715651i
$695$	−15.7511	−	46.7476i	−0.597473	−	1.77324i
$696$	3.54616	+	22.5922i	0.134417	+	0.856356i
$697$	12.2731	+	14.4490i	0.464876	+	0.547294i
$698$	53.5545	+	2.90364i	2.02707	+	0.109904i
$699$	−11.6816	+	24.8052i	−0.441840	+	0.938220i
$700$	8.40127	−	6.38648i	0.317538	−	0.241386i
$701$	−16.8295	+	15.9417i	−0.635641	+	0.602111i	−0.936122	−	0.351677i	$-0.885612\pi$
$701$	−16.8295	+	15.9417i	−0.635641	+	0.602111i	0.300480	+	0.953788i	$0.402853\pi$
$702$	−5.96370	+	19.8950i	−0.225086	+	0.750889i
$703$	−14.6978	−	4.08081i	−0.554337	−	0.153911i
$704$	−7.82507	+	3.62026i	−0.294918	+	0.136444i
$705$	−12.3168	+	43.2185i	−0.463879	+	1.62770i
$706$	15.9125	−	3.50260i	0.598875	−	0.131822i
$707$	−17.8179			−0.670113
$708$	−7.89625	+	6.50139i	−0.296759	+	0.244337i
$709$	12.9764			0.487338			0.243669	−	0.969858i	$-0.421649\pi$
$709$	12.9764			0.487338			0.243669	+	0.969858i	$0.421649\pi$
$710$	−19.5652	+	4.30664i	−0.734270	+	0.161625i
$711$	−9.23216	+	22.2844i	−0.346233	+	0.835729i
$712$	−12.6454	+	5.85039i	−0.473906	+	0.219252i
$713$	−2.92120	−	0.811067i	−0.109400	−	0.0303747i
$714$	3.72962	−	61.0974i	0.139578	−	2.28651i
$715$	−14.4470	+	13.6849i	−0.540287	+	0.511787i
$716$	−6.87952	+	5.22967i	−0.257100	+	0.195442i
$717$	4.58105	+	2.15737i	0.171082	+	0.0805685i
$718$	−32.2603	−	1.74910i	−1.20394	−	0.0652760i
$719$	21.5555	+	25.3770i	0.803883	+	0.946404i	0.999412	−	0.0342941i	$-0.0109183\pi$
$719$	21.5555	+	25.3770i	0.803883	+	0.946404i	−0.195529	+	0.980698i	$0.562642\pi$
$720$	−42.9516	+	1.74306i	−1.60071	+	0.0649600i
$721$	−13.8324	−	41.0531i	−0.515146	−	1.52890i
$722$	−10.8013	+	15.9307i	−0.401982	+	0.592879i
$723$	−10.4880	+	17.1658i	−0.390054	+	0.638404i
$724$	−4.96985	+	5.85095i	−0.184703	+	0.217449i
$725$	−15.0302	+	15.8672i	−0.558209	+	0.589294i
$726$	−1.80223	+	7.93028i	−0.0668872	+	0.294320i
$727$	6.42224	+	16.1186i	0.238188	+	0.597806i	0.998670	−	0.0515523i	$-0.0164169\pi$
$727$	6.42224	+	16.1186i	0.238188	+	0.597806i	−0.760483	+	0.649358i	$0.775038\pi$
$728$	19.6571	−	3.22262i	0.728542	−	0.119438i
$729$	−2.56067	+	26.8783i	−0.0948396	+	0.995493i
$730$	−35.1270	−	26.7029i	−1.30011	−	0.988318i
$731$	24.1468	−	2.62613i	0.893103	−	0.0971308i
$732$	−3.23813	−	8.29068i	−0.119685	−	0.306432i
$733$	−26.5008	−	15.9450i	−0.978829	−	0.588942i	−0.0662327	−	0.997804i	$-0.521098\pi$
$733$	−26.5008	−	15.9450i	−0.978829	−	0.588942i	−0.912596	+	0.408863i	$0.865926\pi$
$734$	−15.3182	−	25.4591i	−0.565406	−	0.939712i
$735$	−26.6861	+	38.7883i	−0.984332	+	1.43073i
$736$	−0.659760	+	1.65587i	−0.0243191	+	0.0610362i
$737$	8.39036	−	38.1178i	0.309063	−	1.40409i
$738$	7.79515	−	16.2645i	0.286943	−	0.598706i
$739$	29.9011	+	11.9137i	1.09993	+	0.438252i	0.848270	−	0.529564i	$-0.177645\pi$
$739$	29.9011	+	11.9137i	1.09993	+	0.438252i	0.251659	+	0.967816i	$0.419024\pi$
$740$	−2.87810	+	5.42868i	−0.105801	+	0.199562i
$741$	−20.9423	+	9.51653i	−0.769335	+	0.349598i
$742$	34.1387	−	56.7390i	1.25327	−	2.08295i
$743$	33.7308	−	17.8830i	1.23746	−	0.656062i	0.284364	−	0.958716i	$-0.408218\pi$
$743$	33.7308	−	17.8830i	1.23746	−	0.656062i	0.953100	+	0.302655i	$0.0978728\pi$
$744$	−24.9468	−	0.169712i	−0.914594	−	0.00622193i
$745$	16.1962	−	21.3057i	0.593381	−	0.780580i
$746$	14.5436	+	21.4502i	0.532478	+	0.785346i
$747$	0.658345	−	9.69937i	0.0240876	−	0.354882i
$748$	10.7169	−	4.27001i	0.391849	−	0.156127i
$749$	−3.00619	+	27.6414i	−0.109844	+	1.01000i
$750$	8.62538	+	10.2957i	0.314954	+	0.375947i
$751$	9.81992	+	8.34112i	0.358334	+	0.304372i	0.808411	−	0.588618i	$-0.200328\pi$
$751$	9.81992	+	8.34112i	0.358334	+	0.304372i	−0.450077	+	0.892990i	$0.648604\pi$
$752$	40.2104	+	18.6033i	1.46632	+	0.678394i
$753$	15.9639	−	18.5370i	0.581755	−	0.675527i
$754$	24.4122	−	8.22544i	0.889042	−	0.299553i
$755$	−5.01385	−	18.0583i	−0.182473	−	0.657207i
$756$	−15.1405	+	5.67731i	−0.550654	+	0.206482i
$757$	−0.362420	+	6.68444i	−0.0131724	+	0.242950i	0.984531	+	0.175212i	$0.0560610\pi$
$757$	−0.362420	+	6.68444i	−0.0131724	+	0.242950i	−0.997703	+	0.0677382i	$0.978422\pi$
$758$	33.2558	+	11.2052i	1.20790	+	0.406990i
$759$	1.08871	+	1.83763i	0.0395176	+	0.0667017i
$760$	−22.5637	−	23.8202i	−0.818470	−	0.864048i
$761$	4.67204	−	0.253311i	0.169361	−	0.00918251i	0.0307369	−	0.999528i	$-0.490215\pi$
$761$	4.67204	−	0.253311i	0.169361	−	0.00918251i	0.138625	+	0.990345i	$0.455732\pi$
$762$	−51.6565	−	20.9902i	−1.87132	−	0.760393i
$763$	27.3635	+	59.1453i	0.990626	+	2.14120i
$764$	−1.98243	+	12.0923i	−0.0717219	+	0.437484i
$765$	−45.5942	−	0.620378i	−1.64846	−	0.0224298i
$766$			23.5916i			0.852398i
$767$	−13.9605	−	12.0646i	−0.504083	−	0.435628i
$768$	−3.19841	+	27.6571i	−0.115413	+	0.997990i
$769$	−5.31597	−	24.1507i	−0.191699	−	0.870896i	−0.970019	−	0.243029i	$-0.921859\pi$
$769$	−5.31597	−	24.1507i	−0.191699	−	0.870896i	0.778320	−	0.627868i	$-0.216072\pi$
$770$	−55.0602	−	9.02666i	−1.98423	−	0.325298i
$771$	−19.4012	+	6.39040i	−0.698718	+	0.230145i
$772$	1.82757	−	6.58232i	0.0657758	−	0.236903i
$773$	−0.991176	−	18.2812i	−0.0356501	−	0.657528i	−0.960684	−	0.277643i	$-0.910447\pi$
$773$	−0.991176	−	18.2812i	−0.0356501	−	0.657528i	0.925034	−	0.379884i	$-0.124036\pi$
$774$	−11.6430	−	19.9607i	−0.418499	−	0.717471i
$775$	−14.4287	−	18.9807i	−0.518296	−	0.681806i
$776$	−2.22700	+	6.60950i	−0.0799447	+	0.237267i
$777$	3.25909	−	19.0662i	0.116919	−	0.683997i
$778$	18.4946	−	15.7095i	0.663064	−	0.563211i
$779$	19.2475	−	5.34404i	0.689614	−	0.191470i
$780$	1.93031	+	9.06270i	0.0691161	+	0.324497i
$781$	9.83780	+	6.67020i	0.352024	+	0.238678i
$782$	−1.58085	+	3.41696i	−0.0565312	+	0.122190i
$783$	29.0411	−	16.6759i	1.03784	−	0.595947i
$784$	33.6989	+	31.9213i	1.20353	+	1.14004i
$785$	11.3360	+	1.23287i	0.404600	+	0.0440029i
$786$	−27.3649	+	7.39770i	−0.976075	+	0.263867i
$787$	−2.83065	−	17.2662i	−0.100902	−	0.615474i	−0.988067	−	0.154023i	$-0.950777\pi$
$787$	−2.83065	−	17.2662i	−0.100902	−	0.615474i	0.887166	−	0.461451i	$-0.152671\pi$
$788$	3.32244	−	2.25267i	0.118357	−	0.0802480i
$789$	−1.33807	−	1.28487i	−0.0476367	−	0.0457427i
$790$	4.19021	+	38.5284i	0.149081	+	1.37078i
$791$	−17.5767	−	33.1533i	−0.624957	−	1.17879i
$792$	12.5946	+	12.2596i	0.447529	+	0.435626i
$793$	13.7578	−	8.27780i	0.488554	−	0.293953i
$794$	−45.6807	−	24.2184i	−1.62115	−	0.859478i
$795$	−43.4236	−	23.4015i	−1.54008	−	0.829967i
$796$	−16.5063	−	3.63332i	−0.585051	−	0.128780i
$797$	−12.8433	−	2.82702i	−0.454933	−	0.100138i	−0.0184083	−	0.999831i	$-0.505860\pi$
$797$	−12.8433	−	2.82702i	−0.454933	−	0.100138i	−0.436525	+	0.899692i	$0.643791\pi$
$798$	−56.7772	−	30.5980i	−2.00989	−	1.08316i
$799$	41.5224	+	22.0138i	1.46896	+	0.778791i
$800$	−12.0113	+	7.22699i	−0.424665	+	0.255513i
$801$	14.6204	+	14.2315i	0.516586	+	0.502846i
$802$	17.9503	+	33.8578i	0.633847	+	1.19556i
$803$	2.83042	+	26.0253i	0.0998834	+	0.918413i
$804$	−13.1089	−	12.5877i	−0.462316	−	0.443934i
$805$	4.18486	−	2.83741i	0.147497	−	0.100005i
$806$	4.54642	+	27.7319i	0.160141	+	0.976815i
$807$	9.83635	−	2.65911i	0.346256	−	0.0936051i
$808$	8.96538	+	0.975044i	0.315401	+	0.0343019i
$809$	12.8217	+	12.1454i	0.450788	+	0.427009i	0.879111	−	0.476616i	$-0.158137\pi$
$809$	12.8217	+	12.1454i	0.450788	+	0.427009i	−0.428323	+	0.903626i	$0.640896\pi$
$810$	17.1373	+	39.8527i	0.602144	+	1.40028i
$811$	16.2515	−	35.1270i	0.570667	−	1.23348i	−0.380494	−	0.924783i	$-0.624246\pi$
$811$	16.2515	−	35.1270i	0.570667	−	1.23348i	0.951161	−	0.308694i	$-0.0998919\pi$
$812$	16.5999	+	11.2550i	0.582541	+	0.394973i
$813$	−0.897317	−	4.21286i	−0.0314703	−	0.147751i
$814$	12.6503	−	3.51235i	0.443394	−	0.123108i
$815$	−8.67252	+	7.36650i	−0.303785	+	0.258037i
$816$	−7.57455	+	44.3124i	−0.265162	+	1.55124i
$817$	8.17194	−	24.2535i	0.285900	−	0.848521i
$818$	−0.982941	−	1.29304i	−0.0343677	−	0.0452100i
$819$	−14.6970	−	25.1964i	−0.513555	−	0.880433i
$820$	−0.435626	−	8.03466i	−0.0152127	−	0.280582i
$821$	12.4575	−	44.8677i	0.434769	−	1.56589i	−0.344240	−	0.938882i	$-0.611863\pi$
$821$	12.4575	−	44.8677i	0.434769	−	1.56589i	0.779009	−	0.627013i	$-0.215723\pi$
$822$	−2.31380	+	0.762123i	−0.0807031	+	0.0265821i
$823$	18.7337	+	3.07123i	0.653015	+	0.107056i	0.479178	−	0.877718i	$-0.340935\pi$
$823$	18.7337	+	3.07123i	0.653015	+	0.107056i	0.173838	+	0.984774i	$0.444383\pi$
$824$	4.71346	+	21.4135i	0.164201	+	0.745974i
$825$	−1.92970	+	16.6864i	−0.0671834	+	0.580945i
$826$	3.24135	−	51.6328i	0.112781	−	1.79654i
$827$			24.9208i			0.866581i	0.901254	+	0.433291i	$0.142648\pi$
$827$			24.9208i			0.866581i	−0.901254	+	0.433291i	$0.857352\pi$
$828$	0.994475	+	0.0135313i	0.0345604	+	0.000470246i
$829$	−7.17939	+	43.7923i	−0.249350	+	1.52097i	0.504204	+	0.863585i	$0.331786\pi$
$829$	−7.17939	+	43.7923i	−0.249350	+	1.52097i	−0.753554	+	0.657386i	$0.771662\pi$
$830$	−6.55865	−	14.1763i	−0.227654	−	0.492066i
$831$	−20.9310	−	8.50510i	−0.726087	−	0.295039i
$832$	−7.23165	+	0.392089i	−0.250713	+	0.0135932i
$833$	33.8605	+	35.7461i	1.17320	+	1.23853i
$834$	25.0167	+	42.2257i	0.866258	+	1.46216i
$835$	23.1345	+	7.79491i	0.800601	+	0.269754i
$836$	0.658089	−	12.1377i	0.0227605	−	0.419793i
$837$	12.8265	+	34.2063i	0.443350	+	1.18234i
$838$	11.5560	+	41.6208i	0.399194	+	1.43777i
$839$	21.8939	−	7.37693i	0.755863	−	0.254680i	0.0851208	−	0.996371i	$-0.472872\pi$
$839$	21.8939	−	7.37693i	0.755863	−	0.254680i	0.670742	+	0.741691i	$0.265976\pi$
$840$	27.1500	−	31.5263i	0.936765	−	1.08776i
$841$	−11.3772	−	5.26367i	−0.392319	−	0.181506i
$842$	−39.8465	−	33.8459i	−1.37320	−	1.16641i
$843$	−22.9165	−	27.3544i	−0.789288	−	0.942136i
$844$	−1.78294	+	16.3938i	−0.0613712	+	0.564298i
$845$	19.4552	−	7.75166i	0.669280	−	0.266665i
$846$	3.02784	−	44.6091i	0.104099	−	1.53369i
$847$	−6.40960	−	9.45346i	−0.220237	−	0.324825i
$848$	−29.4308	+	38.7156i	−1.01066	+	1.32950i
$849$	−32.7219	−	0.222605i	−1.12301	−	0.00763979i
$850$	−26.1596	+	13.8689i	−0.897266	+	0.475700i
$851$	−0.613365	+	1.01942i	−0.0210259	+	0.0349453i
$852$	5.03868	−	2.28966i	0.172622	−	0.0784424i
$853$	19.5048	−	36.7900i	0.667833	−	1.25967i	−0.285683	−	0.958324i	$-0.592221\pi$
$853$	19.5048	−	36.7900i	0.667833	−	1.25967i	0.953516	−	0.301342i	$-0.0974347\pi$
$854$	41.8215	+	16.6632i	1.43110	+	0.570203i
$855$	−20.7655	+	43.3272i	−0.710166	+	1.48176i
$856$	3.02522	−	13.7437i	0.103400	−	0.469751i
$857$	−13.1891	+	33.1022i	−0.450531	+	1.13075i	0.511857	+	0.859071i	$0.328958\pi$
$857$	−13.1891	+	33.1022i	−0.450531	+	1.13075i	−0.962388	+	0.271678i	$0.912422\pi$
$858$	11.2220	−	16.3113i	0.383114	−	0.556857i
$859$	−4.08094	−	6.78257i	−0.139240	−	0.231418i	0.779389	−	0.626541i	$-0.215530\pi$
$859$	−4.08094	−	6.78257i	−0.139240	−	0.231418i	−0.918629	+	0.395122i	$0.870702\pi$
$860$	−8.83359	−	5.31499i	−0.301223	−	0.181240i
$861$	9.21545	+	23.5946i	0.314062	+	0.804101i
$862$	3.88098	−	0.422082i	0.132187	−	0.0143762i
$863$	−17.2942	−	13.1467i	−0.588701	−	0.447519i	0.267937	−	0.963436i	$-0.413658\pi$
$863$	−17.2942	−	13.1467i	−0.588701	−	0.447519i	−0.856638	+	0.515917i	$0.827451\pi$
$864$	20.8088	−	5.32264i	0.707931	−	0.181080i
$865$	27.6852	−	4.53876i	0.941326	−	0.154323i
$866$	2.64400	+	6.63595i	0.0898469	+	0.225499i
$867$	−4.04244	+	17.7878i	−0.137289	+	0.604104i
$868$	−15.0459	+	15.8837i	−0.510690	+	0.539129i
$869$	14.8857	−	17.5248i	0.504963	−	0.594488i
$870$	28.0529	−	45.9143i	0.951083	−	1.55664i
$871$	18.3984	−	27.1356i	0.623405	−	0.919453i
$872$	−10.5318	−	31.2573i	−0.356652	−	1.05851i
$873$	10.2050	−	0.414137i	0.345386	−	0.0140164i
$874$	2.56821	+	3.02353i	0.0868710	+	0.102272i
$875$	−18.8356	−	1.02124i	−0.636760	−	0.0345241i
$876$	11.0281	+	5.19352i	0.372605	+	0.175473i
$877$	−42.7484	+	32.4965i	−1.44351	+	1.09733i	−0.466408	+	0.884570i	$0.654452\pi$
$877$	−42.7484	+	32.4965i	−1.44351	+	1.09733i	−0.977105	+	0.212760i	$0.931755\pi$
$878$	−26.5829	+	25.1807i	−0.897131	+	0.849807i
$879$	1.81893	−	29.7971i	0.0613511	−	1.00503i
$880$	39.4839	+	10.9626i	1.33100	+	0.369551i
$881$	−9.03185	+	4.17858i	−0.304291	+	0.140780i	−0.566092	−	0.824342i	$-0.691545\pi$
$881$	−9.03185	+	4.17858i	−0.304291	+	0.140780i	0.261802	+	0.965122i	$0.415683\pi$
$882$	17.9289	−	43.2763i	0.603697	−	1.45719i
$883$	21.4207	−	4.71506i	0.720864	−	0.158674i	0.160638	−	0.987013i	$-0.448645\pi$
$883$	21.4207	−	4.71506i	0.720864	−	0.158674i	0.560227	+	0.828339i	$0.310714\pi$
$884$	9.69024			0.325918
$885$	−38.5344	−	0.590858i	−1.29532	−	0.0198615i
$886$	16.3352			0.548791
$887$	−42.8383	+	9.42942i	−1.43837	+	0.316609i	−0.864621	−	0.502424i	$-0.832442\pi$
$887$	−42.8383	+	9.42942i	−1.43837	+	0.316609i	−0.573747	+	0.819033i	$0.694511\pi$
$888$	−2.68322	+	9.41513i	−0.0900429	+	0.315951i
$889$	71.0709	−	32.8809i	2.38364	−	1.10279i
$890$	31.5872	+	8.77014i	1.05881	+	0.293976i
$891$	10.1736	−	23.6419i	0.340828	−	0.792032i
$892$	−14.3237	+	13.5682i	−0.479594	+	0.454295i
$893$	39.4225	−	29.9682i	1.31922	−	1.00285i
$894$	−11.3446	+	24.0896i	−0.379421	+	0.805677i
$895$	−32.5125	−	1.76278i	−1.08677	−	0.0589232i
$896$	−34.8094	−	40.9808i	−1.16290	−	1.36907i
$897$	0.278208	+	1.77243i	0.00928909	+	0.0591798i
$898$	−13.9075	−	41.2761i	−0.464101	−	1.37740i
$899$	25.4280	−	37.5035i	0.848070	−	1.25081i
$900$	6.16174	+	4.81770i	0.205391	+	0.160590i
$901$	−33.3963	+	39.3172i	−1.11259	+	1.30985i
$902$	−11.8236	+	12.4820i	−0.393683	+	0.415606i
$903$	31.6469	+	7.19206i	1.05314	+	0.239337i
$904$	7.02979	+	17.6434i	0.233807	+	0.586812i
$905$	−28.5440	+	4.67955i	−0.948834	+	0.155553i
$906$	8.62188	+	16.5334i	0.286443	+	0.549286i
$907$	−47.7846	−	36.3249i	−1.58666	−	1.20615i	−0.843699	−	0.536816i	$-0.819627\pi$
$907$	−47.7846	−	36.3249i	−1.58666	−	1.20615i	−0.742963	−	0.669333i	$-0.766580\pi$
$908$	4.91134	−	0.534140i	0.162989	−	0.0177261i
$909$	−3.35953	−	12.7715i	−0.111429	−	0.423605i
$910$	−40.1583	−	24.1624i	−1.33123	−	0.800977i
$911$	2.21877	+	3.68763i	0.0735112	+	0.122177i	0.891432	−	0.453154i	$-0.149701\pi$
$911$	2.21877	+	3.68763i	0.0735112	+	0.122177i	−0.817921	+	0.575330i	$0.804874\pi$
$912$	39.0246	+	26.8487i	1.29223	+	0.889049i
$913$	−3.43017	+	8.60907i	−0.113522	+	0.284918i
$914$	−0.980755	+	4.45561i	−0.0324405	+	0.147379i
$915$	10.9241	−	31.7071i	0.361140	−	1.04820i
$916$	−0.573393	−	0.228461i	−0.0189454	−	0.00754855i
$917$	18.6481	−	35.1741i	0.615816	−	1.16155i
$918$	44.4966	−	8.84646i	1.46861	−	0.291977i
$919$	−4.44178	+	7.38229i	−0.146521	+	0.243519i	−0.921422	−	0.388562i	$-0.872972\pi$
$919$	−4.44178	+	7.38229i	−0.146521	+	0.243519i	0.774902	+	0.632082i	$0.217799\pi$
$920$	−2.26095	+	1.19868i	−0.0745414	+	0.0395193i
$921$	0.0213925	−	3.14460i	0.000704907	−	0.103618i
$922$	18.9367	−	24.9108i	0.623647	−	0.820394i
$923$	5.60284	+	8.26357i	0.184420	+	0.271999i
$924$	15.3968	−	0.729776i	0.506517	−	0.0240079i
$925$	−8.69183	+	3.46314i	−0.285786	+	0.113867i
$926$	7.20431	−	66.2425i	0.236748	−	2.17686i
$927$	26.8180	−	17.6553i	0.880818	−	0.579875i
$928$	−20.3042	−	17.2466i	−0.666519	−	0.566146i
$929$	50.5252	+	23.3754i	1.65768	+	0.766923i	0.999906	+	0.0137056i	$0.00436277\pi$
$929$	50.5252	+	23.3754i	1.65768	+	0.766923i	0.657771	+	0.753218i	$0.271499\pi$
$930$	44.4767	+	38.3027i	1.45845	+	1.25600i
$931$	49.1648	−	16.5656i	1.61131	−	0.542914i
$932$	−3.25587	−	11.7266i	−0.106650	−	0.384117i
$933$	19.5136	+	29.2061i	0.638845	+	0.956166i
$934$	−1.85572	+	34.2268i	−0.0607212	+	1.11994i
$935$	41.1916	+	13.8791i	1.34711	+	0.453894i
$936$	6.01622	+	13.4822i	0.196646	+	0.440680i
$937$	18.6432	+	19.6814i	0.609046	+	0.642962i	0.955460	−	0.295119i	$-0.0953594\pi$
$937$	18.6432	+	19.6814i	0.609046	+	0.642962i	−0.346414	+	0.938082i	$0.612601\pi$
$938$	91.7884	−	4.97662i	2.99700	−	0.162492i
$939$	8.42915	−	20.7440i	0.275075	−	0.676956i
$940$	−8.37566	−	18.1037i	−0.273184	−	0.590477i
$941$	3.72000	−	22.6910i	0.121268	−	0.739705i	−0.854262	−	0.519842i	$-0.825991\pi$
$941$	3.72000	−	22.6910i	0.121268	−	0.739705i	0.975531	−	0.219863i	$-0.0705610\pi$
$942$	−11.2867	+	1.14987i	−0.367740	+	0.0374647i
$943$		−	1.55800i		−	0.0507355i
$944$	−6.46651	+	37.4409i	−0.210467	+	1.21860i
$945$	−57.3276	−	20.6279i	−1.86487	−	0.671026i
$946$	4.73537	+	21.5130i	0.153960	+	0.699447i
$947$	−8.91343	−	1.46128i	−0.289648	−	0.0474853i	0.0152065	−	0.999884i	$-0.495159\pi$
$947$	−8.91343	−	1.46128i	−0.289648	−	0.0474853i	−0.304854	+	0.952399i	$0.598608\pi$
$948$	−3.34955	−	10.1692i	−0.108788	−	0.330281i
$949$	−5.88286	+	21.1882i	−0.190966	+	0.687797i
$950$	1.68903	+	31.1524i	0.0547995	+	1.01072i
$951$	38.0014	−	28.4821i	1.23228	−	0.923596i
$952$	−26.3315	−	34.6385i	−0.853409	−	1.12264i
$953$	6.31251	−	18.7349i	0.204482	−	0.606882i	−0.795517	−	0.605931i	$-0.792801\pi$
$953$	6.31251	−	18.7349i	0.204482	−	0.606882i	1.00000		0.000950801i	$-0.000302649\pi$
$954$	47.1061	+	13.7719i	1.52512	+	0.445883i
$955$	−35.1892	+	29.8900i	−1.13870	+	0.967218i
$956$	−2.16567	+	0.601296i	−0.0700429	+	0.0194473i
$957$	−31.2226	+	6.65024i	−1.00928	+	0.214972i
$958$	−4.61997	−	3.13242i	−0.149265	−	0.101204i
$959$	1.43657	−	3.10510i	0.0463893	−	0.100269i
$960$	−11.0525	+	10.3278i	−0.356719	+	0.333327i
$961$	13.3796	+	12.6739i	0.431601	+	0.408834i
$962$	10.9634	+	1.19234i	0.353473	+	0.0384425i
$963$	−20.3796	+	3.05695i	−0.656724	+	0.0985090i
$964$	−1.44456	−	8.81142i	−0.0465261	−	0.283797i
$965$	21.3042	−	14.4446i	0.685808	−	0.464989i
$966$	−3.48422	+	3.62848i	−0.112103	+	0.116744i
$967$	−4.23208	−	38.9133i	−0.136094	−	1.25137i	−0.840595	−	0.541664i	$-0.817795\pi$
$967$	−4.23208	−	38.9133i	−0.136094	−	1.25137i	0.704501	−	0.709703i	$-0.251171\pi$
$968$	2.70778	+	5.10741i	0.0870313	+	0.164158i
$969$	39.7929	+	30.6791i	1.27833	+	0.985555i
$970$	14.0610	−	8.46019i	0.451470	−	0.271640i
$971$	34.9431	+	18.5257i	1.12138	+	0.594517i	0.922689	−	0.385546i	$-0.125987\pi$
$971$	34.9431	+	18.5257i	1.12138	+	0.594517i	0.198689	+	0.980063i	$0.436332\pi$
$972$	−6.92408	−	9.78194i	−0.222090	−	0.313756i
$973$	−67.3179	−	14.8178i	−2.15811	−	0.475037i
$974$	14.4863	+	3.18868i	0.464171	+	0.102172i
$975$	−6.69373	+	12.4208i	−0.214371	+	0.397784i
$976$	−29.2116	−	15.4870i	−0.935041	−	0.495727i
$977$	−49.4707	+	29.7655i	−1.58271	+	0.952283i	−0.593654	+	0.804721i	$0.702315\pi$
$977$	−49.4707	+	29.7655i	−1.58271	+	0.952283i	−0.989053	+	0.147562i	$0.952857\pi$
$978$	6.91245	−	8.96591i	0.221036	−	0.286698i
$979$	−9.11031	−	17.1839i	−0.291167	−	0.549199i
$980$	−2.25950	−	20.7757i	−0.0721770	−	0.663656i
$981$	−37.2348	+	30.7653i	−1.18882	+	0.982261i
$982$	−21.2998	+	14.4416i	−0.679704	+	0.460851i
$983$	0.353883	+	2.15859i	0.0112871	+	0.0688484i	0.991869	−	0.127259i	$-0.0406180\pi$
$983$	0.353883	+	2.15859i	0.0112871	+	0.0688484i	−0.980582	+	0.196108i	$0.937170\pi$
$984$	−3.34574	−	12.3763i	−0.106658	−	0.394541i
$985$	15.0359	+	1.63526i	0.479085	+	0.0521036i
$986$	−40.8515	−	38.6966i	−1.30098	−	1.23235i
$987$	42.8726	+	45.8812i	1.36465	+	1.46042i
$988$	4.28726	−	9.26676i	0.136396	−	0.294815i
$989$	−1.65219	−	1.12021i	−0.0525365	−	0.0356206i
$990$	−3.91135	−	41.1680i	−0.124311	−	1.30840i
$991$	−8.00949	+	2.22383i	−0.254430	+	0.0706421i	−0.392401	−	0.919794i	$-0.628356\pi$
$991$	−8.00949	+	2.22383i	−0.254430	+	0.0706421i	0.137971	+	0.990436i	$0.455942\pi$
$992$	22.1497	−	18.8141i	0.703253	−	0.597348i
$993$	−0.306597	−	0.0524083i	−0.00972957	−	0.00166313i
$994$	−8.93831	+	26.5279i	−0.283506	+	0.841415i
$995$	−38.5389	−	50.6970i	−1.22176	−	1.60720i
$996$	2.58801	+	3.45298i	0.0820042	+	0.109412i
$997$	−0.169881	−	3.13328i	−0.00538020	−	0.0992320i	0.994610	−	0.103688i	$-0.0330643\pi$
$997$	−0.169881	−	3.13328i	−0.00538020	−	0.0992320i	−0.999990	+	0.00445606i	$0.998582\pi$
$998$	−13.0800	+	47.1099i	−0.414040	+	1.49124i
$999$	14.2808	−	1.25884i	0.451824	−	0.0398281i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	177.2.f.a.11.14	yes	504
3.2	odd	2	inner	177.2.f.a.11.5	✓	504
59.43	odd	58	inner	177.2.f.a.161.5	yes	504
177.161	even	58	inner	177.2.f.a.161.14	yes	504

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
177.2.f.a.11.5	✓	504	3.2	odd	2	inner
177.2.f.a.11.14	yes	504	1.1	even	1	trivial
177.2.f.a.161.5	yes	504	59.43	odd	58	inner
177.2.f.a.161.14	yes	504	177.161	even	58	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:	\( N \)	\(=\)	\( 177 = 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	177.f (of order \(58\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(1.62507 - 0.357705i) q^{2} +(-1.66573 - 0.474715i) q^{3} +(0.697752 - 0.322814i) q^{4} +(2.79117 + 0.774965i) q^{5} +(-2.87673 - 0.175607i) q^{6} +(2.93861 - 2.78359i) q^{7} +(-1.63093 + 1.23980i) q^{8} +(2.54929 + 1.58149i) q^{9} +O(q^{10})\)	\(q+(1.62507 - 0.357705i) q^{2} +(-1.66573 - 0.474715i) q^{3} +(0.697752 - 0.322814i) q^{4} +(2.79117 + 0.774965i) q^{5} +(-2.87673 - 0.175607i) q^{6} +(2.93861 - 2.78359i) q^{7} +(-1.63093 + 1.23980i) q^{8} +(2.54929 + 1.58149i) q^{9} +(4.81306 + 0.260957i) q^{10} +(-1.85137 - 2.17961i) q^{11} +(-1.31551 + 0.206487i) q^{12} +(-0.767010 - 2.27641i) q^{13} +(3.77974 - 5.57469i) q^{14} +(-4.28144 - 2.61589i) q^{15} +(-3.20233 + 3.77007i) q^{16} +(-3.60840 + 3.80934i) q^{17} +(4.70849 + 1.65814i) q^{18} +(2.04640 + 5.13607i) q^{19} +(2.19772 - 0.360297i) q^{20} +(-6.21633 + 3.24171i) q^{21} +(-3.78827 - 2.87977i) q^{22} +(0.428688 - 0.0466226i) q^{23} +(3.30524 - 1.29094i) q^{24} +(2.90579 + 1.74835i) q^{25} +(-2.06073 - 3.42496i) q^{26} +(-3.49566 - 3.84452i) q^{27} +(1.15183 - 2.89088i) q^{28} +(-1.38545 + 6.29416i) q^{29} +(-7.89337 - 2.71952i) q^{30} +(-6.53127 - 2.60229i) q^{31} +(-1.93621 + 3.65208i) q^{32} +(2.04919 + 4.50950i) q^{33} +(-4.50128 + 7.48119i) q^{34} +(10.3593 - 5.49218i) q^{35} +(2.28930 + 0.280541i) q^{36} +(-1.66967 + 2.19642i) q^{37} +(5.16274 + 7.61448i) q^{38} +(0.196985 + 4.15598i) q^{39} +(-5.51302 + 2.19659i) q^{40} +(0.390639 - 3.59187i) q^{41} +(-8.94240 + 7.49162i) q^{42} +(-3.52813 - 2.99682i) q^{43} +(-1.99541 - 0.923174i) q^{44} +(5.88991 + 6.38983i) q^{45} +(0.679971 - 0.229109i) q^{46} +(-2.39620 - 8.63034i) q^{47} +(7.12392 - 4.75972i) q^{48} +(0.508029 - 9.37004i) q^{49} +(5.34751 + 1.80179i) q^{50} +(7.81896 - 4.63236i) q^{51} +(-1.27004 - 1.34076i) q^{52} +(9.81708 - 0.532266i) q^{53} +(-7.05591 - 4.99720i) q^{54} +(-3.47839 - 7.51841i) q^{55} +(-1.34156 + 8.18314i) q^{56} +(-0.970569 - 9.52675i) q^{57} +10.7240i q^{58} +(6.61518 - 3.90376i) q^{59} +(-3.83183 - 0.443133i) q^{60} +(1.43688 + 6.52779i) q^{61} +(-11.5446 - 1.89265i) q^{62} +(11.8936 - 2.44881i) q^{63} +(0.806575 - 2.90502i) q^{64} +(-0.376723 - 6.94825i) q^{65} +(4.94315 + 6.59526i) q^{66} +(8.25946 + 10.8651i) q^{67} +(-1.28806 + 3.82282i) q^{68} +(-0.736209 - 0.125844i) q^{69} +(14.8701 - 12.6308i) q^{70} +(-4.00474 + 1.11191i) q^{71} +(-6.11846 + 0.581311i) q^{72} +(-7.57680 - 5.13720i) q^{73} +(-1.92767 + 4.16658i) q^{74} +(-4.01028 - 4.29170i) q^{75} +(3.08588 + 2.92310i) q^{76} +(-11.5076 - 1.25153i) q^{77} +(1.80673 + 6.68330i) q^{78} +(1.30078 + 7.93443i) q^{79} +(-11.8599 + 8.04123i) q^{80} +(3.99777 + 8.06336i) q^{81} +(-0.650014 - 5.97678i) q^{82} +(-1.51791 - 2.86308i) q^{83} +(-3.29099 + 4.26863i) q^{84} +(-13.0238 + 7.83615i) q^{85} +(-6.80545 - 3.60802i) q^{86} +(5.29571 - 9.82665i) q^{87} +(5.72174 + 1.25945i) q^{88} +(6.64208 + 1.46203i) q^{89} +(11.8572 + 8.27707i) q^{90} +(-8.59053 - 4.55441i) q^{91} +(0.284067 - 0.170918i) q^{92} +(9.64395 + 7.43520i) q^{93} +(-6.98112 - 13.1678i) q^{94} +(1.73157 + 15.9216i) q^{95} +(4.95889 - 5.16422i) q^{96} +(2.81783 - 1.91053i) q^{97} +(-2.52613 - 15.4087i) q^{98} +(-1.27266 - 8.48438i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 504 q - 27 q^{3} - 70 q^{4} - 29 q^{6} - 58 q^{7} - 19 q^{9}+O(q^{10}) \) 504 * q - 27 * q^3 - 70 * q^4 - 29 * q^6 - 58 * q^7 - 19 * q^9	\( 504 q - 27 q^{3} - 70 q^{4} - 29 q^{6} - 58 q^{7} - 19 q^{9} - 58 q^{10} - 15 q^{12} - 58 q^{13} - 38 q^{15} - 66 q^{16} - 29 q^{18} - 66 q^{19} - 24 q^{21} - 62 q^{22} - 29 q^{24} - 20 q^{25} - 54 q^{27} - 26 q^{28} - 29 q^{30} - 58 q^{31} - 29 q^{33} - 58 q^{34} + 13 q^{36} - 58 q^{37} - 29 q^{39} - 58 q^{40} - 29 q^{42} - 58 q^{43} - q^{45} - 46 q^{46} + 147 q^{48} - 48 q^{49} + 59 q^{51} - 58 q^{52} + 174 q^{54} - 58 q^{55} + 83 q^{57} + 250 q^{60} - 58 q^{61} + 82 q^{63} + 10 q^{64} + 226 q^{66} - 58 q^{67} + 87 q^{69} - 58 q^{70} + 145 q^{72} - 58 q^{73} - 28 q^{75} - 150 q^{76} - 13 q^{78} - 30 q^{79} + 13 q^{81} - 58 q^{82} - 69 q^{84} - 86 q^{85} - 36 q^{87} + 22 q^{88} - 29 q^{90} - 58 q^{91} - 29 q^{93} - 162 q^{94} - 29 q^{96} - 58 q^{97} - 29 q^{99}+O(q^{100}) \) 504 * q - 27 * q^3 - 70 * q^4 - 29 * q^6 - 58 * q^7 - 19 * q^9 - 58 * q^10 - 15 * q^12 - 58 * q^13 - 38 * q^15 - 66 * q^16 - 29 * q^18 - 66 * q^19 - 24 * q^21 - 62 * q^22 - 29 * q^24 - 20 * q^25 - 54 * q^27 - 26 * q^28 - 29 * q^30 - 58 * q^31 - 29 * q^33 - 58 * q^34 + 13 * q^36 - 58 * q^37 - 29 * q^39 - 58 * q^40 - 29 * q^42 - 58 * q^43 - q^45 - 46 * q^46 + 147 * q^48 - 48 * q^49 + 59 * q^51 - 58 * q^52 + 174 * q^54 - 58 * q^55 + 83 * q^57 + 250 * q^60 - 58 * q^61 + 82 * q^63 + 10 * q^64 + 226 * q^66 - 58 * q^67 + 87 * q^69 - 58 * q^70 + 145 * q^72 - 58 * q^73 - 28 * q^75 - 150 * q^76 - 13 * q^78 - 30 * q^79 + 13 * q^81 - 58 * q^82 - 69 * q^84 - 86 * q^85 - 36 * q^87 + 22 * q^88 - 29 * q^90 - 58 * q^91 - 29 * q^93 - 162 * q^94 - 29 * q^96 - 58 * q^97 - 29 * q^99

Introduction

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