LMFDB - Embedded newform 429.2.bq.a.29.37

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(29,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 21, 10]))

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

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

chi := DirichletCharacter("429.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bq (of order $30$, degree $8$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$416$
Relative dimension:	$52$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			29.37
Character	$\chi$	$=$	429.29
Dual form			429.2.bq.a.74.37

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.127461 - 1.21271i) q^{2} +(1.11458 + 1.32579i) q^{3} +(0.501877 + 0.106677i) q^{4} +(1.76681 + 2.43180i) q^{5} +(1.74986 - 1.18268i) q^{6} +(0.706704 - 3.32478i) q^{7} +(0.946962 - 2.91445i) q^{8} +(-0.515413 + 2.95539i) q^{9} +O(q^{10})$	\(q+(0.127461 - 1.21271i) q^{2} +(1.11458 + 1.32579i) q^{3} +(0.501877 + 0.106677i) q^{4} +(1.76681 + 2.43180i) q^{5} +(1.74986 - 1.18268i) q^{6} +(0.706704 - 3.32478i) q^{7} +(0.946962 - 2.91445i) q^{8} +(-0.515413 + 2.95539i) q^{9} +(3.17427 - 1.83266i) q^{10} +(-0.977496 - 3.16931i) q^{11} +(0.417952 + 0.784281i) q^{12} +(-3.56970 - 0.507177i) q^{13} +(-3.94192 - 1.28081i) q^{14} +(-1.25479 + 5.05285i) q^{15} +(-2.47622 - 1.10248i) q^{16} +(0.701640 + 6.67566i) q^{17} +(3.51834 + 1.00174i) q^{18} +(2.21285 - 1.99246i) q^{19} +(0.627301 + 1.40894i) q^{20} +(5.19563 - 2.76880i) q^{21} +(-3.96804 + 0.781457i) q^{22} +(1.33742 - 0.772162i) q^{23} +(4.91940 - 1.99293i) q^{24} +(-1.24696 + 3.83776i) q^{25} +(-1.07006 + 4.26437i) q^{26} +(-4.49269 + 2.61070i) q^{27} +(0.709357 - 1.59324i) q^{28} +(-4.52019 + 5.02018i) q^{29} +(5.96770 + 2.16574i) q^{30} +(2.88677 + 2.09736i) q^{31} +(1.41182 - 2.44534i) q^{32} +(3.11232 - 4.82840i) q^{33} +8.18507 q^{34} +(9.33381 - 4.15568i) q^{35} +(-0.573947 + 1.42826i) q^{36} +(-1.99150 + 2.21178i) q^{37} +(-2.13423 - 2.93751i) q^{38} +(-3.30632 - 5.29795i) q^{39} +(8.76046 - 2.84645i) q^{40} +(-9.93295 + 2.11131i) q^{41} +(-2.69552 - 6.65370i) q^{42} +(-5.36011 - 3.09466i) q^{43} +(-0.152490 - 1.69488i) q^{44} +(-8.09756 + 3.96823i) q^{45} +(-0.765939 - 1.72033i) q^{46} +(-9.12373 - 2.96448i) q^{47} +(-1.29829 - 4.51175i) q^{48} +(-4.15992 - 1.85212i) q^{49} +(4.49515 + 2.00137i) q^{50} +(-8.06846 + 8.37080i) q^{51} +(-1.73745 - 0.635346i) q^{52} +(2.55432 - 3.51572i) q^{53} +(2.59338 + 5.78109i) q^{54} +(5.98007 - 7.97663i) q^{55} +(-9.02069 - 5.20810i) q^{56} +(5.10799 + 0.713006i) q^{57} +(5.51188 + 6.12156i) q^{58} +(0.231237 - 1.08788i) q^{59} +(-1.16878 + 2.40205i) q^{60} +(13.9103 - 1.46204i) q^{61} +(2.91144 - 3.23348i) q^{62} +(9.46179 + 3.80222i) q^{63} +(-7.17132 - 5.21027i) q^{64} +(-5.07362 - 9.57689i) q^{65} +(-5.45875 - 4.38977i) q^{66} +(4.67660 + 8.10010i) q^{67} +(-0.360004 + 3.42521i) q^{68} +(2.51439 + 0.912499i) q^{69} +(-3.84994 - 11.8489i) q^{70} +(-7.95390 + 0.835989i) q^{71} +(8.12527 + 4.30079i) q^{72} +(-6.98392 + 2.26921i) q^{73} +(2.42841 + 2.69702i) q^{74} +(-6.47788 + 2.62429i) q^{75} +(1.32313 - 0.763909i) q^{76} +(-11.2281 + 1.01020i) q^{77} +(-6.84630 + 3.33432i) q^{78} +(8.57951 - 11.8087i) q^{79} +(-1.69398 - 7.96955i) q^{80} +(-8.46870 - 3.04650i) q^{81} +(1.29435 + 12.3149i) q^{82} +(6.89311 - 5.00814i) q^{83} +(2.90293 - 0.835343i) q^{84} +(-14.9942 + 13.5008i) q^{85} +(-4.43613 + 6.10581i) q^{86} +(-11.6938 - 0.397399i) q^{87} +(-10.1624 - 0.152349i) q^{88} +(14.2430 - 8.22321i) q^{89} +(3.78018 + 10.3258i) q^{90} +(-4.20898 + 11.5101i) q^{91} +(0.753594 - 0.244858i) q^{92} +(0.436891 + 6.16491i) q^{93} +(-4.75797 + 10.6866i) q^{94} +(8.75496 + 1.86092i) q^{95} +(4.81559 - 0.853766i) q^{96} +(1.49929 - 0.667525i) q^{97} +(-2.77631 + 4.80871i) q^{98} +(9.87036 - 1.25538i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9}+O(q^{10}) $ 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9	$ 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9} - 52 q^{12} - 20 q^{13} - 3 q^{15} + 30 q^{16} - 20 q^{18} - 10 q^{19} + 4 q^{22} + 5 q^{24} + 60 q^{25} - 24 q^{27} - 10 q^{28} - 65 q^{30} - 8 q^{31} + 49 q^{33} - 24 q^{34} + 3 q^{36} - 6 q^{37} - 35 q^{39} - 120 q^{40} - 13 q^{42} - 32 q^{45} - 30 q^{46} - 33 q^{48} - 26 q^{49} - 100 q^{51} - 60 q^{52} - 42 q^{55} - 20 q^{57} - 34 q^{58} + 32 q^{60} - 30 q^{61} - 45 q^{63} + 40 q^{64} + 42 q^{66} + 32 q^{67} - 33 q^{69} - 268 q^{70} + 55 q^{72} - 40 q^{73} + 9 q^{75} - 32 q^{78} - 37 q^{81} + 28 q^{82} - 180 q^{84} - 10 q^{85} - 142 q^{88} - 30 q^{90} + 8 q^{91} - 26 q^{93} - 90 q^{94} + 330 q^{96} - 14 q^{97} - 4 q^{99}+O(q^{100}) $ 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9 - 52 * q^12 - 20 * q^13 - 3 * q^15 + 30 * q^16 - 20 * q^18 - 10 * q^19 + 4 * q^22 + 5 * q^24 + 60 * q^25 - 24 * q^27 - 10 * q^28 - 65 * q^30 - 8 * q^31 + 49 * q^33 - 24 * q^34 + 3 * q^36 - 6 * q^37 - 35 * q^39 - 120 * q^40 - 13 * q^42 - 32 * q^45 - 30 * q^46 - 33 * q^48 - 26 * q^49 - 100 * q^51 - 60 * q^52 - 42 * q^55 - 20 * q^57 - 34 * q^58 + 32 * q^60 - 30 * q^61 - 45 * q^63 + 40 * q^64 + 42 * q^66 + 32 * q^67 - 33 * q^69 - 268 * q^70 + 55 * q^72 - 40 * q^73 + 9 * q^75 - 32 * q^78 - 37 * q^81 + 28 * q^82 - 180 * q^84 - 10 * q^85 - 142 * q^88 - 30 * q^90 + 8 * q^91 - 26 * q^93 - 90 * q^94 + 330 * q^96 - 14 * q^97 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{10}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.127461	−	1.21271i	0.0901285	−	0.857515i	−0.852288	−	0.523073i	$-0.824785\pi$
$2$	0.127461	−	1.21271i	0.0901285	−	0.857515i	0.942416	−	0.334442i	$-0.108548\pi$
$3$	1.11458	+	1.32579i	0.643504	+	0.765442i
$3$	1.11458	+	1.32579i	0.643504	+	0.765442i
$4$	0.501877	+	0.106677i	0.250938	+	0.0533386i
$5$	1.76681	+	2.43180i	0.790140	+	1.08753i	0.994091	+	0.108553i	$0.0346217\pi$
$5$	1.76681	+	2.43180i	0.790140	+	1.08753i	−0.203951	+	0.978981i	$0.565378\pi$
$6$	1.74986	−	1.18268i	0.714377	−	0.482827i
$7$	0.706704	−	3.32478i	0.267109	−	1.25665i	−0.616099	−	0.787668i	$-0.711288\pi$
$7$	0.706704	−	3.32478i	0.267109	−	1.25665i	0.883208	−	0.468981i	$-0.155379\pi$
$8$	0.946962	−	2.91445i	0.334802	−	1.03041i
$9$	−0.515413	+	2.95539i	−0.171804	+	0.985131i
$10$	3.17427	−	1.83266i	1.00379	−	0.579539i
$11$	−0.977496	−	3.16931i	−0.294726	−	0.955582i
$11$	−0.977496	−	3.16931i	−0.294726	−	0.955582i
$12$	0.417952	+	0.784281i	0.120652	+	0.226402i
$13$	−3.56970	−	0.507177i	−0.990057	−	0.140666i
$13$	−3.56970	−	0.507177i	−0.990057	−	0.140666i
$14$	−3.94192	−	1.28081i	−1.05352	−	0.342310i
$15$	−1.25479	+	5.05285i	−0.323986	+	1.30464i
$16$	−2.47622	−	1.10248i	−0.619055	−	0.275621i
$17$	0.701640	+	6.67566i	0.170173	+	1.61909i	0.662766	+	0.748826i	$0.269382\pi$
$17$	0.701640	+	6.67566i	0.170173	+	1.61909i	−0.492594	+	0.870259i	$0.663951\pi$
$18$	3.51834	+	1.00174i	0.829280	+	0.236113i
$19$	2.21285	−	1.99246i	0.507664	−	0.457102i	−0.375056	−	0.927002i	$-0.622377\pi$
$19$	2.21285	−	1.99246i	0.507664	−	0.457102i	0.882720	+	0.469900i	$0.155710\pi$
$20$	0.627301	+	1.40894i	0.140269	+	0.315049i
$21$	5.19563	−	2.76880i	1.13378	−	0.604203i
$22$	−3.96804	+	0.781457i	−0.845989	+	0.166607i
$23$	1.33742	−	0.772162i	0.278872	−	0.161007i	−0.354041	−	0.935230i	$-0.615193\pi$
$23$	1.33742	−	0.772162i	0.278872	−	0.161007i	0.632913	+	0.774223i	$0.281859\pi$
$24$	4.91940	−	1.99293i	1.00417	−	0.406804i
$25$	−1.24696	+	3.83776i	−0.249393	+	0.767551i
$26$	−1.07006	+	4.26437i	−0.209855	+	0.836311i
$27$	−4.49269	+	2.61070i	−0.864618	+	0.502430i
$28$	0.709357	−	1.59324i	0.134056	−	0.301094i
$29$	−4.52019	+	5.02018i	−0.839379	+	0.932225i	−0.998484	−	0.0550370i	$-0.982472\pi$
$29$	−4.52019	+	5.02018i	−0.839379	+	0.932225i	0.159106	+	0.987262i	$0.449139\pi$
$30$	5.96770	+	2.16574i	1.08955	+	0.395409i
$31$	2.88677	+	2.09736i	0.518479	+	0.376697i	0.816030	−	0.578009i	$-0.196170\pi$
$31$	2.88677	+	2.09736i	0.518479	+	0.376697i	−0.297552	+	0.954706i	$0.596170\pi$
$32$	1.41182	−	2.44534i	0.249577	−	0.432279i
$33$	3.11232	−	4.82840i	0.541785	−	0.840517i
$34$	8.18507			1.40373
$35$	9.33381	−	4.15568i	1.57770	−	0.702438i
$36$	−0.573947	+	1.42826i	−0.0956578	+	0.238043i
$37$	−1.99150	+	2.21178i	−0.327400	+	0.363615i	−0.884263	−	0.466990i	$-0.845338\pi$
$37$	−1.99150	+	2.21178i	−0.327400	+	0.363615i	0.556862	+	0.830605i	$0.312005\pi$
$38$	−2.13423	−	2.93751i	−0.346217	−	0.476527i
$39$	−3.30632	−	5.29795i	−0.529435	−	0.848351i
$40$	8.76046	−	2.84645i	1.38515	−	0.450063i
$41$	−9.93295	+	2.11131i	−1.55127	+	0.329732i	−0.902308	−	0.431092i	$-0.858128\pi$
$41$	−9.93295	+	2.11131i	−1.55127	+	0.329732i	−0.648958	+	0.760824i	$0.724795\pi$
$42$	−2.69552	−	6.65370i	−0.415927	−	1.02669i
$43$	−5.36011	−	3.09466i	−0.817409	−	0.471931i	0.0321132	−	0.999484i	$-0.489776\pi$
$43$	−5.36011	−	3.09466i	−0.817409	−	0.471931i	−0.849522	+	0.527553i	$0.823110\pi$
$44$	−0.152490	−	1.69488i	−0.0229887	−	0.255512i
$45$	−8.09756	+	3.96823i	−1.20711	+	0.591548i
$46$	−0.765939	−	1.72033i	−0.112932	−	0.253648i
$47$	−9.12373	−	2.96448i	−1.33083	−	0.432414i	−0.444632	−	0.895714i	$-0.646665\pi$
$47$	−9.12373	−	2.96448i	−1.33083	−	0.432414i	−0.886202	+	0.463300i	$0.846665\pi$
$48$	−1.29829	−	4.51175i	−0.187393	−	0.651215i
$49$	−4.15992	−	1.85212i	−0.594275	−	0.264588i
$50$	4.49515	+	2.00137i	0.635710	+	0.283036i
$51$	−8.06846	+	8.37080i	−1.12981	+	1.17215i
$52$	−1.73745	−	0.635346i	−0.240940	−	0.0881066i
$53$	2.55432	−	3.51572i	0.350863	−	0.482922i	−0.596712	−	0.802456i	$-0.703526\pi$
$53$	2.55432	−	3.51572i	0.350863	−	0.482922i	0.947575	+	0.319534i	$0.103526\pi$
$54$	2.59338	+	5.78109i	0.352914	+	0.786706i
$55$	5.98007	−	7.97663i	0.806353	−	1.07557i
$56$	−9.02069	−	5.20810i	−1.20544	−	0.695961i
$57$	5.10799	+	0.713006i	0.676569	+	0.0944399i
$58$	5.51188	+	6.12156i	0.723745	+	0.803800i
$59$	0.231237	−	1.08788i	0.0301045	−	0.141630i	−0.960529	−	0.278181i	$-0.910268\pi$
$59$	0.231237	−	1.08788i	0.0301045	−	0.141630i	0.990633	+	0.136551i	$0.0436017\pi$
$60$	−1.16878	+	2.40205i	−0.150888	+	0.310103i
$61$	13.9103	−	1.46204i	1.78104	−	0.187195i	0.843981	−	0.536373i	$-0.180206\pi$
$61$	13.9103	−	1.46204i	1.78104	−	0.187195i	0.937056	+	0.349178i	$0.113539\pi$
$62$	2.91144	−	3.23348i	0.369753	−	0.410652i
$63$	9.46179	+	3.80222i	1.19207	+	0.479035i
$64$	−7.17132	−	5.21027i	−0.896415	−	0.651284i
$65$	−5.07362	−	9.57689i	−0.629305	−	1.18787i
$66$	−5.45875	−	4.38977i	−0.671926	−	0.540344i
$67$	4.67660	+	8.10010i	0.571337	+	0.989585i	0.996429	+	0.0844349i	$0.0269085\pi$
$67$	4.67660	+	8.10010i	0.571337	+	0.989585i	−0.425092	+	0.905150i	$0.639758\pi$
$68$	−0.360004	+	3.42521i	−0.0436569	+	0.415367i
$69$	2.51439	+	0.912499i	0.302697	+	0.109852i
$70$	−3.84994	−	11.8489i	−0.460156	−	1.41621i
$71$	−7.95390	+	0.835989i	−0.943955	+	0.0992136i	−0.563985	−	0.825785i	$-0.690732\pi$
$71$	−7.95390	+	0.835989i	−0.943955	+	0.0992136i	−0.379970	+	0.924999i	$0.624066\pi$
$72$	8.12527	+	4.30079i	0.957572	+	0.506853i
$73$	−6.98392	+	2.26921i	−0.817406	+	0.265591i	−0.687731	−	0.725965i	$-0.741393\pi$
$73$	−6.98392	+	2.26921i	−0.817406	+	0.265591i	−0.129675	+	0.991557i	$0.541393\pi$
$74$	2.42841	+	2.69702i	0.282297	+	0.313523i
$75$	−6.47788	+	2.62429i	−0.748002	+	0.303027i
$76$	1.32313	−	0.763909i	0.151773	−	0.0876264i
$77$	−11.2281	+	1.01020i	−1.27956	+	0.115123i
$78$	−6.84630	+	3.33432i	−0.775191	+	0.377538i
$79$	8.57951	−	11.8087i	0.965270	−	1.32858i	0.0208698	−	0.999782i	$-0.493356\pi$
$79$	8.57951	−	11.8087i	0.965270	−	1.32858i	0.944400	−	0.328798i	$-0.106644\pi$
$80$	−1.69398	−	7.96955i	−0.189393	−	0.891023i
$81$	−8.46870	−	3.04650i	−0.940967	−	0.338500i
$82$	1.29435	+	12.3149i	0.142937	+	1.35995i
$83$	6.89311	−	5.00814i	0.756617	−	0.549715i	−0.141253	−	0.989973i	$-0.545113\pi$
$83$	6.89311	−	5.00814i	0.756617	−	0.549715i	0.897871	+	0.440259i	$0.145113\pi$
$84$	2.90293	−	0.835343i	0.316736	−	0.0911434i
$85$	−14.9942	+	13.5008i	−1.62635	+	1.46437i
$86$	−4.43613	+	6.10581i	−0.478360	+	0.658406i
$87$	−11.6938	−	0.397399i	−1.25371	−	0.0426056i
$88$	−10.1624	−	0.152349i	−1.08332	−	0.0162405i
$89$	14.2430	−	8.22321i	1.50976	−	0.871658i	0.509821	−	0.860281i	$-0.329712\pi$
$89$	14.2430	−	8.22321i	1.50976	−	0.871658i	0.999935	−	0.0113776i	$-0.00362167\pi$
$90$	3.78018	+	10.3258i	0.398466	+	1.08843i
$91$	−4.20898	+	11.5101i	−0.441221	+	1.20658i
$92$	0.753594	−	0.244858i	0.0785676	−	0.0255282i
$93$	0.436891	+	6.16491i	0.0453035	+	0.639272i
$94$	−4.75797	+	10.6866i	−0.490748	+	1.10224i
$95$	8.75496	+	1.86092i	0.898239	+	0.190927i
$96$	4.81559	−	0.853766i	0.491489	−	0.0871371i
$97$	1.49929	−	0.667525i	0.152229	−	0.0677769i	−0.329208	−	0.944258i	$-0.606782\pi$
$97$	1.49929	−	0.667525i	0.152229	−	0.0677769i	0.481437	+	0.876481i	$0.340115\pi$
$98$	−2.77631	+	4.80871i	−0.280449	+	0.485753i
$99$	9.87036	−	1.25538i	0.992009	−	0.126171i
$100$	−1.03522	+	1.79306i	−0.103522	+	0.179306i
$101$	−0.260931	+	2.48259i	−0.0259636	+	0.247027i	0.973841	+	0.227233i	$0.0729678\pi$
$101$	−0.260931	+	2.48259i	−0.0259636	+	0.247027i	−0.999804	+	0.0197942i	$0.993699\pi$
$102$	9.12293	+	10.8516i	0.903305	+	1.07447i
$103$	−2.42886	−	7.47526i	−0.239323	−	0.736559i	−0.996519	−	0.0833715i	$-0.973431\pi$
$103$	−2.42886	−	7.47526i	−0.239323	−	0.736559i	0.757196	−	0.653188i	$-0.226569\pi$
$104$	−4.85852	+	9.92344i	−0.476417	+	0.973074i
$105$	15.9128	+	7.74278i	1.55293	+	0.755618i
$106$	−3.93797	−	3.54577i	−0.382490	−	0.344395i
$107$	−12.7574	+	2.71167i	−1.23331	+	0.262148i	−0.778044	−	0.628210i	$-0.783788\pi$
$107$	−12.7574	+	2.71167i	−1.23331	+	0.262148i	−0.455263	+	0.890357i	$0.650455\pi$
$108$	−2.53328	+	0.830983i	−0.243765	+	0.0799614i
$109$		−	0.235357i		−	0.0225431i	−0.999936	−	0.0112716i	$-0.996412\pi$
$109$		−	0.235357i		−	0.0225431i	0.999936	−	0.0112716i	$-0.00358792\pi$
$110$	−8.91111	−	8.26880i	−0.849641	−	0.788399i
$111$	−5.15204	−	0.175085i	−0.489010	−	0.0166184i
$112$	−5.41548	+	7.45377i	−0.511715	+	0.704315i
$113$	0.638846	−	0.575219i	0.0600976	−	0.0541121i	−0.638535	−	0.769593i	$-0.720459\pi$
$113$	0.638846	−	0.575219i	0.0600976	−	0.0541121i	0.698632	+	0.715481i	$0.253792\pi$
$114$	1.51574	−	6.10362i	0.141962	−	0.571657i
$115$	4.24071	+	1.88809i	0.395449	+	0.176065i
$116$	−2.80412	+	2.03731i	−0.260356	+	0.189160i
$117$	3.33878	−	10.2885i	0.308670	−	0.951169i
$118$	−1.28981	−	0.419086i	−0.118737	−	0.0385800i
$119$	22.6910	+	2.38492i	2.08008	+	0.218625i
$120$	13.5380	+	8.44189i	1.23585	+	0.770636i
$121$	−9.08900	+	6.19597i	−0.826273	+	0.563270i
$122$		−	17.0556i		−	1.54414i
$123$	−13.8702	−	10.8157i	−1.25064	−	0.975221i
$124$	1.22506	+	1.36057i	0.110014	+	0.122183i
$125$	2.75796	−	0.896117i	0.246680	−	0.0801511i
$126$	5.81700	−	10.9898i	0.518220	−	0.979047i
$127$	−4.07365	+	9.14957i	−0.361478	+	0.811893i	0.637657	+	0.770320i	$0.279904\pi$
$127$	−4.07365	+	9.14957i	−0.361478	+	0.811893i	−0.999135	+	0.0415732i	$0.986763\pi$
$128$	−3.45384	+	3.83588i	−0.305279	+	0.339047i
$129$	−1.87143	−	10.5556i	−0.164770	−	0.929369i
$130$	−12.2607	+	4.93215i	−1.07533	+	0.432578i
$131$	0.444540			0.0388396			0.0194198	−	0.999811i	$-0.493818\pi$
$131$	0.444540			0.0388396			0.0194198	+	0.999811i	$0.493818\pi$
$132$	2.07708	−	2.09125i	0.180787	−	0.182020i
$133$	−5.06067	−	8.76534i	−0.438816	−	0.760051i
$134$	10.4192	−	4.63891i	0.900078	−	0.400741i
$135$	−14.2864	−	6.31271i	−1.22958	−	0.543312i
$136$	20.1203	+	4.27670i	1.72530	+	0.366724i
$137$	2.64915	−	0.278437i	0.226332	−	0.0237884i	0.00931639	−	0.999957i	$-0.497034\pi$
$137$	2.64915	−	0.278437i	0.226332	−	0.0237884i	0.217015	+	0.976168i	$0.430368\pi$
$138$	1.42708	−	2.93292i	0.121481	−	0.249667i
$139$	−3.11740	+	14.6662i	−0.264414	+	1.24397i	0.622715	+	0.782449i	$0.286030\pi$
$139$	−3.11740	+	14.6662i	−0.264414	+	1.24397i	−0.887129	+	0.461522i	$0.847304\pi$
$140$	5.12774	−	1.08993i	0.433373	−	0.0921163i
$141$	−6.23889	−	15.4003i	−0.525409	−	1.29694i
$142$			9.75233i			0.818397i
$143$	1.88197	+	11.8092i	0.157378	+	0.987538i
$144$	4.53455	−	6.74997i	0.377879	−	0.562498i
$145$	−20.1944	−	2.12252i	−1.67705	−	0.176265i
$146$	1.86172	+	8.75870i	0.154077	+	0.724875i
$147$	−2.18107	−	7.57950i	−0.179891	−	0.625147i
$148$	−1.23543	+	0.897595i	−0.101552	+	0.0737818i
$149$	0.464631	+	4.42067i	0.0380640	+	0.362155i	0.996930	+	0.0782963i	$0.0249480\pi$
$149$	0.464631	+	4.42067i	0.0380640	+	0.362155i	−0.958866	+	0.283859i	$0.908385\pi$
$150$	2.35683	+	8.19029i	0.192434	+	0.668734i
$151$	−0.402002	−	0.130618i	−0.0327145	−	0.0106296i	0.292614	−	0.956231i	$-0.405475\pi$
$151$	−0.402002	−	0.130618i	−0.0327145	−	0.0106296i	−0.325329	+	0.945601i	$0.605475\pi$
$152$	−3.71144	−	8.33604i	−0.301038	−	0.676142i
$153$	−20.0908	−	1.36710i	−1.62425	−	0.110524i
$154$	−0.206059	+	13.7451i	−0.0166047	+	1.10761i
$155$			10.7257i			0.861506i
$156$	−1.09419	−	3.01163i	−0.0876056	−	0.241123i
$157$	3.65095	−	11.2365i	0.291378	−	0.896768i	−0.693037	−	0.720902i	$-0.743728\pi$
$157$	3.65095	−	11.2365i	0.291378	−	0.896768i	0.984414	−	0.175866i	$-0.0562724\pi$
$158$	−13.2269	−	11.9096i	−1.05228	−	0.947477i
$159$	7.50810	−	0.532079i	0.595431	−	0.0421966i
$160$	8.44099	−	0.887184i	0.667319	−	0.0701381i
$161$	−1.62211	−	4.99233i	−0.127840	−	0.393451i
$162$	−4.77394	+	9.88176i	−0.375077	+	0.776385i
$163$	−5.62018	+	2.50227i	−0.440207	+	0.195993i	−0.614858	−	0.788638i	$-0.710787\pi$
$163$	−5.62018	+	2.50227i	−0.440207	+	0.195993i	0.174652	+	0.984630i	$0.444120\pi$
$164$	−5.21034			−0.406859
$165$	17.2406	−	0.962312i	1.34218	−	0.0749159i
$166$	−5.19482	−	8.99769i	−0.403196	−	0.698356i
$167$	−1.20120	+	11.4286i	−0.0929514	+	0.884374i	0.844335	+	0.535815i	$0.179996\pi$
$167$	−1.20120	+	11.4286i	−0.0929514	+	0.884374i	−0.937287	+	0.348559i	$0.886671\pi$
$168$	−3.14948	−	17.7643i	−0.242988	−	1.37055i
$169$	12.4855	+	3.62094i	0.960426	+	0.278534i
$170$	14.4614	+	19.9045i	1.10914	+	1.52660i
$171$	4.74798	+	7.56680i	0.363087	+	0.578647i
$172$	−2.35998	−	2.12494i	−0.179947	−	0.162025i
$173$	−7.26631	−	8.07006i	−0.552448	−	0.613555i	0.400645	−	0.916233i	$-0.368786\pi$
$173$	−7.26631	−	8.07006i	−0.552448	−	0.613555i	−0.953093	+	0.302678i	$0.902119\pi$
$174$	−1.97243	+	14.1305i	−0.149530	+	1.07123i
$175$	11.8785	+	6.85804i	0.897928	+	0.518419i
$176$	−1.07361	+	8.92558i	−0.0809268	+	0.672791i
$177$	1.70003	−	0.905966i	0.127782	−	0.0680966i
$178$	−8.15693	−	18.3208i	−0.611388	−	1.37320i
$179$	−1.12346	−	5.28548i	−0.0839716	−	0.395055i	0.916010	−	0.401156i	$-0.131391\pi$
$179$	−1.12346	−	5.28548i	−0.0839716	−	0.395055i	−0.999981	+	0.00610065i	$0.998058\pi$
$180$	−4.48730	+	1.12773i	−0.334463	+	0.0840564i
$181$	7.61884	−	5.53541i	0.566304	−	0.411444i	−0.267457	−	0.963570i	$-0.586183\pi$
$181$	7.61884	−	5.53541i	0.566304	−	0.411444i	0.833761	+	0.552126i	$0.186183\pi$
$182$	13.4219	+	6.57135i	0.994896	+	0.487101i
$183$	17.4426	+	16.8126i	1.28939	+	1.24282i
$184$	−0.983938	−	4.62906i	−0.0725369	−	0.341259i
$185$	−8.89720	−	0.935134i	−0.654135	−	0.0687524i
$186$	7.53194	+	0.255963i	0.552268	+	0.0187681i
$187$	20.4714	−	8.74915i	1.49701	−	0.639801i
$188$	−4.26275	−	2.46110i	−0.310893	−	0.179494i
$189$	5.50501	+	16.7822i	0.400431	+	1.22073i
$190$	3.37267	−	10.3800i	0.244680	−	0.753046i
$191$	−2.38386	+	11.2152i	−0.172490	+	0.811502i	0.803777	+	0.594931i	$0.202821\pi$
$191$	−2.38386	+	11.2152i	−0.172490	+	0.811502i	−0.976267	+	0.216571i	$0.930513\pi$
$192$	−1.08533	−	15.3149i	−0.0783268	−	1.10526i
$193$	2.03218	−	4.56435i	0.146280	−	0.328549i	−0.825514	−	0.564381i	$-0.809115\pi$
$193$	2.03218	−	4.56435i	0.146280	−	0.328549i	0.971794	+	0.235832i	$0.0757815\pi$
$194$	−0.618414	−	1.90328i	−0.0443995	−	0.136648i
$195$	7.04193	−	17.4008i	0.504283	−	1.24609i
$196$	−1.89019	−	1.37330i	−0.135014	−	0.0980931i
$197$	−4.98268	−	8.63026i	−0.355001	−	0.614880i	0.632117	−	0.774873i	$-0.282186\pi$
$197$	−4.98268	−	8.63026i	−0.355001	−	0.614880i	−0.987118	+	0.159993i	$0.948853\pi$
$198$	−0.264331	−	12.1299i	−0.0187852	−	0.862034i
$199$	0.308403	−	0.534169i	0.0218621	−	0.0378662i	−0.854887	−	0.518814i	$-0.826374\pi$
$199$	0.308403	−	0.534169i	0.0218621	−	0.0378662i	0.876749	+	0.480947i	$0.159707\pi$
$200$	10.0041	+	7.26842i	0.707399	+	0.513955i
$201$	−5.52655	+	15.2284i	−0.389813	+	1.07413i
$202$	2.97740	+	0.632866i	0.209489	+	0.0445283i
$203$	13.4966	+	18.5764i	0.947274	+	1.30381i
$204$	−4.94234	+	3.34039i	−0.346033	+	0.233874i
$205$	−22.6839	−	20.4247i	−1.58431	−	1.42652i
$206$	−9.37491	+	1.99270i	−0.653181	+	0.138838i
$207$	1.59272	+	4.35060i	0.110701	+	0.302387i
$208$	8.28022	+	5.19143i	0.574130	+	0.359961i
$209$	−8.47778	−	5.06559i	−0.586420	−	0.350394i
$210$	11.4180	−	18.3108i	0.787918	−	1.26356i
$211$	12.8407	+	1.34961i	0.883989	+	0.0929110i	0.535633	−	0.844451i	$-0.320073\pi$
$211$	12.8407	+	1.34961i	0.883989	+	0.0929110i	0.348357	+	0.937362i	$0.386740\pi$
$212$	1.65700	−	1.49197i	0.113803	−	0.102469i
$213$	−9.97362	−	9.61339i	−0.683381	−	0.658698i
$214$	1.66240	+	15.8167i	0.113639	+	1.08121i
$215$	−1.94468	−	18.5024i	−0.132626	−	1.26185i
$216$	3.35435	+	15.5660i	0.228235	+	1.05913i
$217$	9.01335	−	8.11566i	0.611866	−	0.550927i
$218$	−0.285420	−	0.0299988i	−0.0193311	−	0.00203178i
$219$	−10.7926	−	6.72995i	−0.729299	−	0.454768i
$220$	3.85218	−	3.36534i	0.259714	−	0.226891i
$221$	0.881095	−	24.1860i	0.0592689	−	1.62692i
$222$	−0.869011	+	6.22561i	−0.0583242	+	0.417836i
$223$	16.6386	−	3.53664i	1.11420	−	0.236831i	0.386206	−	0.922413i	$-0.373785\pi$
$223$	16.6386	−	3.53664i	1.11420	−	0.236831i	0.727995	+	0.685582i	$0.240452\pi$
$224$	−7.13249	−	6.42212i	−0.476559	−	0.429096i
$225$	−10.6994	−	5.66330i	−0.713292	−	0.377553i
$226$	−0.616146	−	0.848052i	−0.0409854	−	0.0564116i
$227$	−2.14991	−	0.456978i	−0.142695	−	0.0303307i	0.136011	−	0.990707i	$-0.456572\pi$
$227$	−2.14991	−	0.456978i	−0.142695	−	0.0303307i	−0.278705	+	0.960377i	$0.589905\pi$
$228$	2.48752	+	0.902746i	0.164740	+	0.0597858i
$229$	12.6079	+	9.16021i	0.833156	+	0.605324i	0.920451	−	0.390859i	$-0.127822\pi$
$229$	12.6079	+	9.16021i	0.833156	+	0.605324i	−0.0872941	+	0.996183i	$0.527822\pi$
$230$	2.83023	−	4.90210i	0.186620	−	0.323235i
$231$	−13.8539	−	13.7600i	−0.911519	−	0.905344i
$232$	10.3506	+	17.9278i	0.679552	+	1.17702i
$233$	12.0602	+	8.76225i	0.790090	+	0.574034i	0.907990	−	0.418991i	$-0.137616\pi$
$233$	12.0602	+	8.76225i	0.790090	+	0.574034i	−0.117900	+	0.993025i	$0.537616\pi$
$234$	−12.0514	−	5.36035i	−0.787822	−	0.350417i
$235$	−8.91085	−	27.4248i	−0.581279	−	1.78899i
$236$	0.232105	−	0.521316i	0.0151087	−	0.0339348i
$237$	25.2183	−	1.78716i	1.63811	−	0.116088i
$238$	5.78442	−	27.2136i	0.374948	−	1.76399i
$239$	−1.07930	+	3.32175i	−0.0698143	+	0.214866i	−0.979876	−	0.199606i	$-0.936034\pi$
$239$	−1.07930	+	3.32175i	−0.0698143	+	0.214866i	0.910062	+	0.414472i	$0.136034\pi$
$240$	8.67784	−	11.1286i	0.560152	−	0.718347i
$241$	−2.06940	−	1.19477i	−0.133302	−	0.0769619i	0.431866	−	0.901938i	$-0.357855\pi$
$241$	−2.06940	−	1.19477i	−0.133302	−	0.0769619i	−0.565168	+	0.824976i	$0.691189\pi$
$242$	6.35542	+	11.8121i	0.408542	+	0.759308i
$243$	−5.40006	−	14.6232i	−0.346414	−	0.938082i
$244$	7.13724	+	0.750155i	0.456915	+	0.0480237i
$245$	−2.84580	−	13.3884i	−0.181811	−	0.855355i
$246$	−14.8842	+	15.4420i	−0.948985	+	0.984545i
$247$	−8.90976	+	5.99019i	−0.566914	+	0.381147i
$248$	8.84631	−	6.42722i	0.561741	−	0.408129i
$249$	14.3227	+	3.55680i	0.907662	+	0.225403i
$250$	−0.735197	−	3.45883i	−0.0464979	−	0.218756i
$251$	5.40701	+	12.1443i	0.341287	+	0.766544i	0.999901	+	0.0140626i	$0.00447640\pi$
$251$	5.40701	+	12.1443i	0.341287	+	0.766544i	−0.658614	+	0.752481i	$0.728857\pi$
$252$	4.34304	+	2.91760i	0.273586	+	0.183792i
$253$	−3.75455	−	3.48392i	−0.236046	−	0.219032i
$254$	10.5765	+	6.10637i	0.663632	+	0.383148i
$255$	−34.6115	−	4.83130i	−2.16746	−	0.302548i
$256$	−7.65109	−	8.49739i	−0.478193	−	0.531087i
$257$	4.34111	+	3.90875i	0.270791	+	0.243821i	0.793327	−	0.608796i	$-0.208347\pi$
$257$	4.34111	+	3.90875i	0.270791	+	0.243821i	−0.522536	+	0.852617i	$0.675014\pi$
$258$	−13.0394	+	0.924070i	−0.811799	+	0.0575301i
$259$	5.94629	+	8.18437i	0.369485	+	0.508552i
$260$	−1.52470	−	5.34765i	−0.0945576	−	0.331647i
$261$	−12.5068	−	15.9464i	−0.774154	−	0.987058i
$262$	0.0566614	−	0.539098i	0.00350056	−	0.0333056i
$263$	−2.89114	−	5.00760i	−0.178275	−	0.308782i	0.763014	−	0.646381i	$-0.223718\pi$
$263$	−2.89114	−	5.00760i	−0.178275	−	0.308782i	−0.941290	+	0.337599i	$0.890385\pi$
$264$	−11.1249	−	13.6430i	−0.684690	−	0.839670i
$265$	13.0625			0.802425
$266$	−11.2748	+	5.01989i	−0.691305	+	0.307789i
$267$	26.7772	+	9.71774i	1.63874	+	0.594716i
$268$	1.48298	+	4.56414i	0.0905873	+	0.278799i
$269$	22.7454	−	2.39063i	1.38681	−	0.145759i	0.618473	−	0.785806i	$-0.287752\pi$
$269$	22.7454	−	2.39063i	1.38681	−	0.145759i	0.768336	+	0.640047i	$0.221085\pi$
$270$	−9.47645	+	16.5206i	−0.576718	+	1.00541i
$271$	−4.60803	−	4.14909i	−0.279918	−	0.252039i	0.517198	−	0.855866i	$-0.326975\pi$
$271$	−4.60803	−	4.14909i	−0.279918	−	0.252039i	−0.797116	+	0.603827i	$0.793642\pi$
$272$	5.62240	−	17.3040i	0.340908	−	1.04921i
$273$	−19.9511	+	7.24870i	−1.20750	+	0.438712i
$274$		−	3.24814i		−	0.196227i
$275$	13.3819	+	0.200614i	0.806961	+	0.0120975i
$276$	1.16457	+	0.726190i	0.0700989	+	0.0437115i
$277$	9.32482	+	20.9439i	0.560274	+	1.25840i	0.942463	+	0.334312i	$0.108504\pi$
$277$	9.32482	+	20.9439i	0.560274	+	1.25840i	−0.382189	+	0.924084i	$0.624830\pi$
$278$	17.3885	+	5.64986i	1.04289	+	0.338856i
$279$	−7.68640	+	7.45053i	−0.460173	+	0.446051i
$280$	−3.27276	−	31.1382i	−0.195585	−	1.86086i
$281$	8.96600	−	6.51418i	0.534866	−	0.388603i	−0.287309	−	0.957838i	$-0.592760\pi$
$281$	8.96600	−	6.51418i	0.534866	−	0.388603i	0.822175	+	0.569235i	$0.192760\pi$
$282$	−19.4713	+	5.60303i	−1.15950	+	0.333655i
$283$	1.24003	+	5.83389i	0.0737122	+	0.346789i	0.999512	−	0.0312245i	$-0.00994069\pi$
$283$	1.24003	+	5.83389i	0.0737122	+	0.346789i	−0.925800	+	0.378013i	$0.876607\pi$
$284$	−4.08106	−	0.428937i	−0.242166	−	0.0254527i
$285$	7.29093	+	13.6813i	0.431878	+	0.810413i
$286$	14.5611	−	0.777068i	0.861014	−	0.0459490i
$287$			34.5170i			2.03747i
$288$	6.49928	+	5.43284i	0.382974	+	0.320133i
$289$	−27.4436	+	5.83333i	−1.61433	+	0.343137i
$290$	−5.14799	+	24.2194i	−0.302300	+	1.42221i
$291$	2.55607	+	1.24372i	0.149840	+	0.0729081i
$292$	−3.74714	+	0.393840i	−0.219285	+	0.0230477i
$293$	4.11621	+	0.874927i	0.240471	+	0.0511138i	0.326571	−	0.945173i	$-0.394107\pi$
$293$	4.11621	+	0.874927i	0.240471	+	0.0511138i	−0.0860993	+	0.996287i	$0.527440\pi$
$294$	−9.46973	+	1.67891i	−0.552286	+	0.0979160i
$295$	3.05407	−	1.35976i	0.177815	−	0.0791682i
$296$	4.56026	+	7.89860i	0.265060	+	0.459097i
$297$	12.6657	+	11.6867i	0.734938	+	0.678134i
$298$	5.42021			0.313984
$299$	−5.16583	+	2.07808i	−0.298748	+	0.120178i
$300$	−3.53105	+	0.626028i	−0.203865	+	0.0361437i
$301$	−14.0771	+	15.6342i	−0.811389	+	0.901139i
$302$	−0.209642	+	0.470863i	−0.0120635	+	0.0270951i
$303$	−3.58221	+	2.42111i	−0.205792	+	0.139089i
$304$	−7.67618	+	2.49414i	−0.440259	+	0.143049i
$305$	28.1323	+	31.2441i	1.61085	+	1.78903i
$306$	−4.21869	+	24.1901i	−0.241167	+	1.38286i
$307$		−	26.8550i		−	1.53269i	−0.642427	−	0.766347i	$-0.722072\pi$
$307$		−	26.8550i		−	1.53269i	0.642427	−	0.766347i	$-0.277928\pi$
$308$	−5.74286	−	0.690781i	−0.327230	−	0.0393609i
$309$	7.20343	−	11.5519i	0.409789	−	0.657167i
$310$	13.0071	+	1.36710i	0.738755	+	0.0776463i
$311$	14.0478	+	4.56440i	0.796576	+	0.258823i	0.678902	−	0.734229i	$-0.262456\pi$
$311$	14.0478	+	4.56440i	0.796576	+	0.258823i	0.117674	+	0.993052i	$0.462456\pi$
$312$	−18.5716	+	4.61914i	−1.05141	+	0.261507i
$313$	−0.512923	+	0.372660i	−0.0289921	+	0.0210640i	−0.602187	−	0.798355i	$-0.705704\pi$
$313$	−0.512923	+	0.372660i	−0.0289921	+	0.0210640i	0.573195	+	0.819419i	$0.305704\pi$
$314$	−13.1612	−	5.85975i	−0.742731	−	0.330685i
$315$	7.47090	+	29.7270i	0.420938	+	1.67493i
$316$	5.56557	−	5.01126i	0.313088	−	0.281906i
$317$	8.06721	−	11.1036i	0.453100	−	0.623638i	−0.519960	−	0.854190i	$-0.674053\pi$
$317$	8.06721	−	11.1036i	0.453100	−	0.623638i	0.973060	+	0.230552i	$0.0740533\pi$
$318$	0.311731	−	9.17296i	0.0174810	−	0.514394i
$319$	20.3290	+	9.41866i	1.13820	+	0.527344i
$320$		−	26.6448i		−	1.48949i
$321$	−17.8143	−	13.8912i	−0.994297	−	0.775333i
$322$	−6.26101	+	1.33082i	−0.348912	+	0.0741636i
$323$	14.8536	+	13.3743i	0.826478	+	0.744164i
$324$	−3.92525	−	2.43238i	−0.218069	−	0.135132i
$325$	6.39771	−	13.0672i	0.354881	−	0.724839i
$326$	2.31817	+	7.13459i	0.128391	+	0.395148i
$327$	0.312033	−	0.262325i	0.0172554	−	0.0145066i
$328$	−3.25281	+	30.9484i	−0.179606	+	1.70884i
$329$	−16.3040	+	28.2394i	−0.898870	+	1.55689i
$330$	1.03049	−	21.0305i	0.0567268	−	1.15769i
$331$	−9.43824	+	16.3475i	−0.518772	+	0.898540i	0.480990	+	0.876726i	$0.340277\pi$
$331$	−9.43824	+	16.3475i	−0.518772	+	0.898540i	−0.999762	+	0.0218138i	$0.993056\pi$
$332$	3.99375	−	1.77813i	0.219185	−	0.0975876i
$333$	−5.51024	−	7.02564i	−0.301959	−	0.385003i
$334$	13.7065	+	2.91341i	0.749986	+	0.159415i
$335$	−11.4352	+	25.6839i	−0.624771	+	1.40326i
$336$	−15.9181	+	1.12807i	−0.868403	+	0.0615415i
$337$	−21.2113	+	6.89198i	−1.15546	+	0.375430i	−0.823196	−	0.567758i	$-0.807811\pi$
$337$	−21.2113	+	6.89198i	−1.15546	+	0.375430i	−0.332260	+	0.943188i	$0.607811\pi$
$338$	5.98257	−	14.6798i	0.325409	−	0.798476i
$339$	1.47466	+	0.205843i	0.0800927	+	0.0111799i
$340$	−8.96548	+	5.17622i	−0.486221	+	0.280720i
$341$	3.82537	−	11.1992i	0.207155	−	0.606471i
$342$	9.78151	−	4.79345i	0.528923	−	0.259200i
$343$	4.88770	−	6.72734i	0.263911	−	0.363242i
$344$	−14.0951	+	12.6912i	−0.759955	+	0.684266i
$345$	2.22343	+	7.72670i	0.119705	+	0.415992i
$346$	−10.7128	+	7.78331i	−0.575924	+	0.418433i
$347$	−1.81248	−	17.2446i	−0.0972991	−	0.925740i	−0.928891	−	0.370353i	$-0.879237\pi$
$347$	−1.81248	−	17.2446i	−0.0972991	−	0.925740i	0.831592	−	0.555387i	$-0.187430\pi$
$348$	−5.82646	−	1.44691i	−0.312331	−	0.0775624i
$349$	−0.749856	−	3.52779i	−0.0401389	−	0.188838i	0.953510	−	0.301360i	$-0.0974406\pi$
$349$	−0.749856	−	3.52779i	−0.0401389	−	0.188838i	−0.993649	+	0.112522i	$0.964107\pi$
$350$	9.83085	−	13.5310i	0.525481	−	0.723263i
$351$	17.3616	−	7.04084i	0.926696	−	0.375812i
$352$	−9.13008	−	2.08417i	−0.486635	−	0.111087i
$353$	−12.2269	+	7.05921i	−0.650773	+	0.375724i	−0.788752	−	0.614711i	$-0.789273\pi$
$353$	−12.2269	+	7.05921i	−0.650773	+	0.375724i	0.137979	+	0.990435i	$0.455939\pi$
$354$	−0.881986	−	2.17712i	−0.0468770	−	0.115713i
$355$	−16.0860	−	17.8653i	−0.853754	−	0.948190i
$356$	8.02546	−	2.60763i	0.425349	−	0.138204i
$357$	22.1291	+	32.7415i	1.17119	+	1.73287i
$358$	−6.55295	+	0.688743i	−0.346334	+	0.0364012i
$359$	6.56844	+	20.2156i	0.346669	+	1.06694i	0.960684	+	0.277643i	$0.0895533\pi$
$359$	6.56844	+	20.2156i	0.346669	+	1.06694i	−0.614015	+	0.789294i	$0.710447\pi$
$360$	3.89711	+	27.3577i	0.205396	+	1.44188i
$361$	−1.05923	+	10.0779i	−0.0557487	+	0.530414i
$362$	−5.74174	−	9.94498i	−0.301779	−	0.522697i
$363$	−18.3450	−	5.14415i	−0.962861	−	0.269998i
$364$	−3.34025	+	5.32763i	−0.175076	+	0.279243i
$365$	−17.8575	−	12.9742i	−0.934704	−	0.679102i
$366$	22.6120	−	19.0098i	1.18195	−	0.993660i
$367$	−7.06399	+	7.84535i	−0.368737	+	0.409524i	−0.898747	−	0.438467i	$-0.855521\pi$
$367$	−7.06399	+	7.84535i	−0.368737	+	0.409524i	0.530010	+	0.847991i	$0.322188\pi$
$368$	−4.16306	+	0.437555i	−0.217014	+	0.0228091i
$369$	−1.12019	−	30.4440i	−0.0583147	−	1.58485i
$370$	−2.26809	+	10.6705i	−0.117912	+	0.554735i
$371$	−9.88386	−	10.9771i	−0.513144	−	0.569905i
$372$	−0.438390	+	3.14063i	−0.0227295	+	0.162834i
$373$	−10.3962	−	6.00223i	−0.538293	−	0.310784i	0.206094	−	0.978532i	$-0.433925\pi$
$373$	−10.3962	−	6.00223i	−0.538293	−	0.310784i	−0.744387	+	0.667749i	$0.767258\pi$
$374$	−8.00088	−	25.9410i	−0.413715	−	1.34138i
$375$	4.26203	+	2.65767i	0.220091	+	0.137242i
$376$	−17.2797	+	23.7834i	−0.891131	+	1.22654i
$377$	18.6819	−	15.6280i	0.962165	−	0.804884i
$378$	21.0536	−	4.53691i	1.08288	−	0.233353i
$379$	−30.8795	−	13.7484i	−1.58617	−	0.706210i	−0.591217	−	0.806512i	$-0.701352\pi$
$379$	−30.8795	−	13.7484i	−1.58617	−	0.706210i	−0.994957	+	0.100302i	$0.968019\pi$
$380$	4.19539	+	1.86791i	0.215219	+	0.0958216i
$381$	−16.6708	+	4.79716i	−0.854071	+	0.245766i
$382$	13.2969	+	4.32043i	0.680329	+	0.221052i
$383$	−5.18677	−	11.6497i	−0.265032	−	0.595271i	0.731185	−	0.682180i	$-0.238968\pi$
$383$	−5.18677	−	11.6497i	−0.265032	−	0.595271i	−0.996216	+	0.0869088i	$0.972301\pi$
$384$	−8.93514	−	0.303649i	−0.455970	−	0.0154955i
$385$	−22.2944	−	25.5195i	−1.13623	−	1.30060i
$386$	−5.27621	−	3.04622i	−0.268552	−	0.155049i
$387$	11.9086	−	14.2462i	0.605349	−	0.724175i
$388$	0.823666	−	0.175076i	0.0418153	−	0.00888812i
$389$	−3.52382	+	1.14496i	−0.178665	+	0.0580517i	−0.396983	−	0.917826i	$-0.629943\pi$
$389$	−3.52382	+	1.14496i	−0.178665	+	0.0580517i	0.218318	+	0.975878i	$0.429943\pi$
$390$	−20.2045	−	10.7577i	−1.02309	−	0.544739i
$391$	6.09308	+	8.38641i	0.308140	+	0.424119i
$392$	−9.33719	+	10.3700i	−0.471599	+	0.523764i
$393$	0.495476	+	0.589364i	0.0249935	+	0.0297295i
$394$	−11.1011	+	4.94252i	−0.559265	+	0.249001i
$395$	43.8747			2.20757
$396$	5.08762	+	0.422894i	0.255663	+	0.0212512i
$397$	−0.157174	+	0.272234i	−0.00788836	+	0.0136630i	−0.869943	−	0.493153i	$-0.835844\pi$
$397$	−0.157174	+	0.272234i	−0.00788836	+	0.0136630i	0.862054	+	0.506816i	$0.169178\pi$
$398$	−0.608483	−	0.442089i	−0.0305005	−	0.0221599i
$399$	5.98042	−	16.4791i	0.299396	−	0.824984i
$400$	7.31883	−	8.12838i	0.365941	−	0.406419i
$401$	−11.9292	+	26.7934i	−0.595716	+	1.33800i	0.324239	+	0.945975i	$0.394892\pi$
$401$	−11.9292	+	26.7934i	−0.595716	+	1.33800i	−0.919955	+	0.392025i	$0.871775\pi$
$402$	17.7632	+	8.64312i	0.885948	+	0.431080i
$403$	−9.24117	−	8.95105i	−0.460335	−	0.445883i
$404$	−0.395790	+	1.21812i	−0.0196913	+	0.0606036i
$405$	−7.55408	−	25.9768i	−0.375365	−	1.29080i
$406$	24.2481	−	13.9997i	1.20341	−	0.694791i
$407$	8.95650	+	4.14966i	0.443957	+	0.205691i
$408$	16.7557	+	31.4419i	0.829533	+	1.55661i
$409$	15.4097	+	34.6108i	0.761961	+	1.71139i	0.700901	+	0.713259i	$0.252781\pi$
$409$	15.4097	+	34.6108i	0.761961	+	1.71139i	0.0610601	+	0.998134i	$0.480552\pi$
$410$	−27.6605	+	24.9056i	−1.36605	+	1.23000i
$411$	3.32184	+	3.20186i	0.163854	+	0.157936i
$412$	−0.421548	−	4.01076i	−0.0207682	−	0.197596i
$413$	−3.45356	−	1.53762i	−0.169939	−	0.0756615i
$414$	5.47902	−	1.37697i	0.269279	−	0.0676745i
$415$	24.3576	+	7.91426i	1.19567	+	0.388496i
$416$	−6.27999	+	8.01310i	−0.307902	+	0.392875i
$417$	−22.9188	+	12.2137i	−1.12234	+	0.598107i
$418$	−7.22367	+	9.63542i	−0.353321	+	0.471284i
$419$	21.4165	−	12.3648i	1.04626	−	0.604060i	0.124662	−	0.992199i	$-0.460215\pi$
$419$	21.4165	−	12.3648i	1.04626	−	0.604060i	0.921601	+	0.388139i	$0.126882\pi$
$420$	7.16031	+	5.58346i	0.349387	+	0.272445i
$421$	−2.13334	+	6.56575i	−0.103973	+	0.319995i	−0.989488	−	0.144615i	$-0.953806\pi$
$421$	−2.13334	+	6.56575i	−0.103973	+	0.319995i	0.885515	+	0.464610i	$0.153806\pi$
$422$	3.27337	−	15.4000i	0.159345	−	0.749660i
$423$	13.4637	−	25.4363i	0.654627	−	1.23675i
$424$	−7.82755	−	10.7737i	−0.380140	−	0.523217i
$425$	−26.4945	−	5.63158i	−1.28517	−	0.273172i
$426$	−12.9295	+	10.8698i	−0.626436	+	0.526642i
$427$	4.96955	−	47.2821i	0.240493	−	2.28814i
$428$	−6.69193			−0.323467
$429$	−13.5589	+	15.6575i	−0.654630	+	0.755949i
$430$	−22.6859			−1.09401
$431$	−1.91445	+	18.2148i	−0.0922159	+	0.877375i	0.846432	+	0.532497i	$0.178746\pi$
$431$	−1.91445	+	18.2148i	−0.0922159	+	0.877375i	−0.938648	+	0.344878i	$0.887920\pi$
$432$	14.0031	−	1.51156i	0.673727	−	0.0727248i
$433$	19.3755	+	4.11838i	0.931125	+	0.197917i	0.648413	−	0.761288i	$-0.275433\pi$
$433$	19.3755	+	4.11838i	0.931125	+	0.197917i	0.282711	+	0.959205i	$0.408766\pi$
$434$	−8.69309	−	11.9650i	−0.417281	−	0.574339i
$435$	−19.6943	−	29.1391i	−0.944270	−	1.39711i
$436$	0.0251072	−	0.118120i	0.00120242	−	0.00565693i
$437$	1.42102	−	4.37345i	0.0679766	−	0.209210i
$438$	−9.53712	+	12.2305i	−0.455701	+	0.584397i
$439$	6.01207	−	3.47107i	0.286940	−	0.165665i	−0.349621	−	0.936891i	$-0.613690\pi$
$439$	6.01207	−	3.47107i	0.286940	−	0.165665i	0.636561	+	0.771226i	$0.280356\pi$
$440$	−17.5846	−	24.9822i	−0.838312	−	1.19098i
$441$	7.61781	−	11.3396i	0.362753	−	0.539981i
$442$	−29.2183	−	4.15128i	−1.38977	−	0.197456i
$443$	−8.47322	−	2.75312i	−0.402575	−	0.130805i	0.100729	−	0.994914i	$-0.467882\pi$
$443$	−8.47322	−	2.75312i	−0.402575	−	0.130805i	−0.503304	+	0.864109i	$0.667882\pi$
$444$	−2.56701	−	0.637476i	−0.121825	−	0.0302533i
$445$	45.1618	+	20.1073i	2.14088	+	0.953180i
$446$	−2.16815	−	20.6285i	−0.102665	−	0.976790i
$447$	−5.34298	+	5.54320i	−0.252714	+	0.262184i
$448$	−22.3910	+	20.1610i	−1.05788	+	0.952515i
$449$	−7.94014	−	17.8339i	−0.374718	−	0.841631i	−0.998210	−	0.0598016i	$-0.980953\pi$
$449$	−7.94014	−	17.8339i	−0.374718	−	0.841631i	0.623492	−	0.781830i	$-0.285713\pi$
$450$	−8.23169	+	12.2534i	−0.388045	+	0.577630i
$451$	16.4008	+	29.4168i	0.772284	+	1.38518i
$452$	0.381985	−	0.220539i	0.0179670	−	0.0103733i
$453$	−0.274893	−	0.678554i	−0.0129156	−	0.0318812i
$454$	−0.828211	+	2.54897i	−0.0388699	+	0.119629i
$455$	−35.4266	+	10.1006i	−1.66082	+	0.473526i
$456$	6.91509	−	14.2118i	0.323829	−	0.665528i
$457$	0.312330	−	0.701505i	0.0146102	−	0.0328150i	−0.906093	−	0.423079i	$-0.860949\pi$
$457$	0.312330	−	0.701505i	0.0146102	−	0.0328150i	0.920703	+	0.390264i	$0.127616\pi$
$458$	12.7157	−	14.1222i	0.594165	−	0.659887i
$459$	−20.5804	−	28.1599i	−0.960611	−	1.31439i
$460$	1.92690	+	1.39997i	0.0898421	+	0.0652741i
$461$	0.0456422	−	0.0790546i	0.00212577	−	0.00368194i	−0.864961	−	0.501840i	$-0.832657\pi$
$461$	0.0456422	−	0.0790546i	0.00212577	−	0.00368194i	0.867086	+	0.498158i	$0.165990\pi$
$462$	−18.4528	+	15.0469i	−0.858500	+	0.700044i
$463$	41.3161			1.92012			0.960061	−	0.279792i	$-0.0902654\pi$
$463$	41.3161			1.92012			0.960061	+	0.279792i	$0.0902654\pi$
$464$	16.7277	−	7.44764i	0.776563	−	0.345748i
$465$	−14.2199	+	11.9546i	−0.659434	+	0.554383i
$466$	12.1633	−	13.5087i	0.563453	−	0.625778i
$467$	−16.6691	−	22.9431i	−0.771356	−	1.06168i	−0.996184	−	0.0872819i	$-0.972182\pi$
$467$	−16.6691	−	22.9431i	−0.771356	−	1.06168i	0.224828	−	0.974399i	$-0.427818\pi$
$468$	2.77320	−	4.80737i	0.128191	−	0.222221i
$469$	30.2360	−	9.82429i	1.39617	−	0.453643i
$470$	−34.3941	+	7.31068i	−1.58648	+	0.337217i
$471$	18.9664	−	7.68359i	0.873927	−	0.354041i
$472$	−2.95161	−	1.70411i	−0.135859	−	0.0784382i
$473$	−4.56844	+	20.0128i	−0.210057	+	0.920192i
$474$	1.04705	−	30.8103i	0.0480925	−	1.41516i
$475$	4.88724	+	10.9769i	0.224242	+	0.503656i
$476$	11.1336	+	3.61754i	0.510310	+	0.165810i
$477$	9.07381	+	9.36108i	0.415461	+	0.428614i
$478$	3.89075	+	1.73227i	0.177959	+	0.0792324i
$479$	−2.89614	−	1.28945i	−0.132328	−	0.0589163i	0.339504	−	0.940604i	$-0.389741\pi$
$479$	−2.89614	−	1.28945i	−0.132328	−	0.0589163i	−0.471833	+	0.881688i	$0.656407\pi$
$480$	10.5844	+	10.2021i	0.483109	+	0.465660i
$481$	8.23082	−	6.88536i	0.375293	−	0.313946i
$482$	−1.71268	+	2.35730i	−0.0780103	+	0.107372i
$483$	4.81079	−	7.71493i	0.218899	−	0.351042i
$484$	−5.22253	+	2.14002i	−0.237388	+	0.0972738i
$485$	4.27224	+	2.46658i	0.193992	+	0.112001i
$486$	−18.4221	+	4.68481i	−0.835641	+	0.212507i
$487$	−19.2913	−	21.4252i	−0.874174	−	0.970868i	0.125601	−	0.992081i	$-0.459914\pi$
$487$	−19.2913	−	21.4252i	−0.874174	−	0.970868i	−0.999775	+	0.0212127i	$0.993247\pi$
$488$	8.91154	−	41.9255i	0.403407	−	1.89788i
$489$	−9.58162	−	4.66217i	−0.433296	−	0.210831i
$490$	−16.5990	+	1.74463i	−0.749867	+	0.0788142i
$491$	14.4685	−	16.0689i	0.652952	−	0.725177i	−0.322210	−	0.946668i	$-0.604426\pi$
$491$	14.4685	−	16.0689i	0.652952	−	0.725177i	0.975162	+	0.221491i	$0.0710924\pi$
$492$	−5.80736	−	6.90780i	−0.261816	−	0.311428i
$493$	−36.6846	−	26.6529i	−1.65219	−	1.20039i
$494$	6.12871	+	11.5685i	0.275744	+	0.520490i
$495$	20.4919	+	21.7847i	0.921040	+	0.979151i
$496$	−4.83597	−	8.37614i	−0.217141	−	0.376100i
$497$	−2.84158	+	27.0358i	−0.127462	+	1.21272i
$498$	6.13895	−	16.9159i	0.275093	−	0.758018i
$499$	−0.815407	−	2.50957i	−0.0365026	−	0.112344i	0.931145	−	0.364649i	$-0.118811\pi$
$499$	−0.815407	−	2.50957i	−0.0365026	−	0.112344i	−0.967648	+	0.252306i	$0.918811\pi$
$500$	1.47975	−	0.155528i	0.0661765	−	0.00695543i
$501$	−16.4907	+	11.1456i	−0.736752	+	0.497949i
$502$	15.4167	−	5.00920i	0.688083	−	0.223572i
$503$	21.9621	+	24.3914i	0.979242	+	1.08756i	0.996147	+	0.0877011i	$0.0279520\pi$
$503$	21.9621	+	24.3914i	0.979242	+	1.08756i	−0.0169050	+	0.999857i	$0.505381\pi$
$504$	20.0414	−	23.9754i	0.892713	−	1.06795i
$505$	−6.49817	+	3.75172i	−0.289165	+	0.166949i
$506$	−4.70354	+	4.10911i	−0.209098	+	0.182672i
$507$	9.11557	+	20.5890i	0.404837	+	0.914389i
$508$	−3.02052	+	4.15739i	−0.134014	+	0.184454i
$509$	−1.95107	−	9.17907i	−0.0864797	−	0.406855i	−1.00000		6.18774e-5i	$-0.999980\pi$
$509$	−1.95107	−	9.17907i	−0.0864797	−	0.406855i	0.913520	−	0.406793i	$-0.133353\pi$
$510$	−10.2706	+	41.3579i	−0.454789	+	1.83136i
$511$	2.60907	+	24.8237i	0.115419	+	1.09813i
$512$	−19.6319	+	14.2634i	−0.867614	+	0.630359i
$513$	−4.73994	+	14.7286i	−0.209273	+	0.650284i
$514$	5.29350	−	4.76629i	0.233486	−	0.210232i
$515$	13.8870	−	19.1138i	0.611935	−	0.842256i
$516$	0.186817	−	5.49725i	0.00822416	−	0.242003i
$517$	−0.476931	+	31.8137i	−0.0209754	+	1.39916i
$518$	10.6832	−	6.16794i	0.469392	−	0.271004i
$519$	2.60026	−	18.6283i	0.114139	−	0.817692i
$520$	−32.7159	+	5.71786i	−1.43469	+	0.250745i
$521$	−38.4641	+	12.4977i	−1.68514	+	0.547536i	−0.985898	−	0.167347i	$-0.946480\pi$
$521$	−38.4641	+	12.4977i	−1.68514	+	0.547536i	−0.699244	+	0.714883i	$0.746480\pi$
$522$	−20.9325	+	13.1346i	−0.916191	+	0.574887i
$523$	11.2099	−	25.1777i	0.490173	−	1.10095i	−0.483985	−	0.875076i	$-0.660811\pi$
$523$	11.2099	−	25.1777i	0.490173	−	1.10095i	0.974158	−	0.225869i	$-0.0725223\pi$
$524$	0.223104	+	0.0474222i	0.00974635	+	0.00207165i
$525$	4.14725	+	23.3921i	0.181001	+	1.02092i
$526$	−6.44128	+	2.86784i	−0.280853	+	0.125044i
$527$	−11.9758	+	20.7427i	−0.521673	+	0.903565i
$528$	−13.0300	+	8.52491i	−0.567059	+	0.370999i
$529$	−10.3075	+	17.8532i	−0.448154	+	0.776225i
$530$	1.66496	−	15.8411i	0.0723213	−	0.688091i
$531$	3.09594	+	1.24411i	0.134352	+	0.0539896i
$532$	−1.60477	−	4.93898i	−0.0695756	−	0.214132i
$533$	36.5285	−	2.49900i	1.58222	−	0.108244i
$534$	15.1978	−	31.2344i	0.657675	−	1.35164i
$535$	−29.1342	−	26.2325i	−1.25958	−	1.13413i
$536$	28.0359	−	5.95922i	1.21097	−	0.257399i
$537$	5.75522	−	7.38057i	0.248356	−	0.318495i
$538$		−	27.8882i		−	1.20235i
$539$	−1.80362	+	14.9945i	−0.0776873	+	0.645859i
$540$	−6.49659	−	4.69224i	−0.279569	−	0.201922i
$541$	1.19352	−	1.64274i	0.0513134	−	0.0706268i	−0.782589	−	0.622538i	$-0.786101\pi$
$541$	1.19352	−	1.64274i	0.0513134	−	0.0706268i	0.833903	+	0.551912i	$0.186101\pi$
$542$	−5.61899	+	5.05936i	−0.241356	+	0.217318i
$543$	15.8306	+	3.93127i	0.679355	+	0.168707i
$544$	17.3149	+	7.70907i	0.742369	+	0.330524i
$545$	0.572341	−	0.415830i	0.0245164	−	0.0178122i
$546$	6.24759	+	25.1188i	0.267372	+	1.07499i
$547$	26.9496	+	8.75644i	1.15228	+	0.374399i	0.822002	−	0.569485i	$-0.192857\pi$
$547$	26.9496	+	8.75644i	1.15228	+	0.374399i	0.330278	+	0.943884i	$0.392857\pi$
$548$	1.35925	+	0.142863i	0.0580642	+	0.00610279i
$549$	−2.84868	+	41.8641i	−0.121579	+	1.78672i
$550$	1.94896	−	16.2028i	0.0831039	−	0.690891i
$551$			20.1152i			0.856938i
$552$	5.04047	−	6.46396i	0.214536	−	0.275125i
$553$	−33.1981	−	36.8702i	−1.41173	−	1.56788i
$554$	26.5874	−	8.63877i	1.12959	−	0.367026i
$555$	−8.67688	−	12.8381i	−0.368313	−	0.544946i
$556$	−3.12910	+	7.02807i	−0.132703	+	0.298056i
$557$	4.65051	−	5.16492i	0.197048	−	0.218845i	−0.636521	−	0.771260i	$-0.719627\pi$
$557$	4.65051	−	5.16492i	0.197048	−	0.218845i	0.833569	+	0.552415i	$0.186294\pi$
$558$	8.05561	+	10.2710i	0.341021	+	0.434807i
$559$	17.5645	+	13.7655i	0.742897	+	0.582220i
$560$	−27.6942			−1.17029
$561$	34.4165	+	17.3890i	1.45307	+	0.734164i
$562$	−6.75699	−	11.7035i	−0.285026	−	0.493680i
$563$	−6.53938	+	2.91152i	−0.275602	+	0.122706i	−0.539884	−	0.841740i	$-0.681532\pi$
$563$	−6.53938	+	2.91152i	−0.275602	+	0.122706i	0.264282	+	0.964446i	$0.414865\pi$
$564$	−1.48829	−	8.39458i	−0.0626685	−	0.353476i
$565$	2.52754	+	0.537244i	0.106334	+	0.0226020i
$566$	7.23287	−	0.760205i	0.304020	−	0.0319538i
$567$	−16.1138	+	26.0036i	−0.676716	+	1.09205i
$568$	−5.09560	+	23.9729i	−0.213807	+	1.00588i
$569$	21.5160	−	4.57337i	0.901999	−	0.191726i	0.266507	−	0.963833i	$-0.414131\pi$
$569$	21.5160	−	4.57337i	0.901999	−	0.191726i	0.635492	+	0.772107i	$0.280797\pi$
$570$	17.5208	−	7.09795i	0.733866	−	0.297300i
$571$			14.9477i			0.625542i	0.949829	+	0.312771i	$0.101257\pi$
$571$			14.9477i			0.625542i	−0.949829	+	0.312771i	$0.898743\pi$
$572$	−0.315259	+	6.12755i	−0.0131816	+	0.256206i
$573$	−17.5259	+	9.33975i	−0.732156	+	0.390174i
$574$	41.8590	+	4.39956i	1.74716	+	0.183634i
$575$	1.29565	+	6.09557i	0.0540324	+	0.254203i
$576$	19.0946	−	18.5086i	0.795608	−	0.771193i
$577$	−34.6191	+	25.1523i	−1.44121	+	1.04710i	−0.453425	+	0.891294i	$0.649798\pi$
$577$	−34.6191	+	25.1523i	−1.44121	+	1.04710i	−0.987787	+	0.155808i	$0.950202\pi$
$578$	3.57614	+	34.0247i	0.148748	+	1.41524i
$579$	8.31639	−	2.39311i	0.345617	−	0.0994543i
$580$	−9.90867	−	3.21952i	−0.411435	−	0.133683i
$581$	−11.7796	−	26.4574i	−0.488699	−	1.09764i
$582$	1.83407	−	2.94125i	0.0760247	−	0.121919i
$583$	−13.6392	−	4.65882i	−0.564880	−	0.192949i
$584$			22.5031i			0.931187i
$585$	30.9185	−	10.0585i	1.27832	−	0.415867i
$586$	1.58569	−	4.88024i	0.0655041	−	0.201601i
$587$	−10.0148	−	9.01739i	−0.413356	−	0.372188i	0.436054	−	0.899920i	$-0.356376\pi$
$587$	−10.0148	−	9.01739i	−0.413356	−	0.372188i	−0.849410	+	0.527733i	$0.823042\pi$
$588$	−0.286067	−	4.03664i	−0.0117972	−	0.166468i
$589$	10.5669	−	1.11063i	0.435402	−	0.0457626i
$590$	−1.25972	−	3.87701i	−0.0518618	−	0.159614i
$591$	5.88826	−	16.2251i	0.242211	−	0.667411i
$592$	7.36985	−	3.28127i	0.302899	−	0.134859i
$593$	22.6246			0.929082			0.464541	−	0.885552i	$-0.346219\pi$
$593$	22.6246			0.929082			0.464541	+	0.885552i	$0.346219\pi$
$594$	15.7870	−	13.8702i	0.647749	−	0.569102i
$595$	34.2909	+	59.3936i	1.40579	+	2.43490i
$596$	−0.238397	+	2.26819i	−0.00976511	+	0.0929088i
$597$	1.05193	−	0.186500i	0.0430528	−	0.00763292i
$598$	1.86166	+	6.52952i	0.0761291	+	0.267012i
$599$	13.0917	+	18.0192i	0.534912	+	0.736243i	0.987869	−	0.155289i	$-0.0496310\pi$
$599$	13.0917	+	18.0192i	0.534912	+	0.736243i	−0.452957	+	0.891532i	$0.649631\pi$
$600$	1.51405	+	21.3646i	0.0618109	+	0.872205i
$601$	6.98275	+	6.28730i	0.284832	+	0.256464i	0.799145	−	0.601139i	$-0.205286\pi$
$601$	6.98275	+	6.28730i	0.284832	+	0.256464i	−0.514312	+	0.857603i	$0.671953\pi$
$602$	17.1654	+	19.0642i	0.699611	+	0.776997i
$603$	−26.3494	+	9.64628i	−1.07303	+	0.392827i
$604$	−0.187822	−	0.108439i	−0.00764235	−	0.00441231i
$605$	−31.1259	−	11.1556i	−1.26545	−	0.453538i
$606$	2.47951	+	4.65277i	0.100723	+	0.189006i
$607$	−12.7249	−	28.5806i	−0.516489	−	1.16005i	−0.964031	−	0.265790i	$-0.914367\pi$
$607$	−12.7249	−	28.5806i	−0.516489	−	1.16005i	0.447542	−	0.894263i	$-0.352299\pi$
$608$	−1.74810	−	8.22418i	−0.0708950	−	0.333535i
$609$	−9.58533	+	38.5985i	−0.388417	+	1.56409i
$610$	41.4757	−	30.1339i	1.67930	−	1.22009i
$611$	31.0655	+	15.2097i	1.25678	+	0.615317i
$612$	−9.93728	−	2.82935i	−0.401691	−	0.114370i
$613$	−1.35701	−	6.38421i	−0.0548089	−	0.257856i	0.942209	−	0.335026i	$-0.108745\pi$
$613$	−1.35701	−	6.38421i	−0.0548089	−	0.257856i	−0.997018	+	0.0771699i	$0.975412\pi$
$614$	−32.5673	−	3.42296i	−1.31431	−	0.138139i
$615$	1.79566	−	52.8389i	0.0724081	−	2.13067i
$616$	−7.68836	+	33.6802i	−0.309773	+	1.35701i
$617$	−5.86624	−	3.38688i	−0.236166	−	0.136350i	0.377247	−	0.926113i	$-0.376871\pi$
$617$	−5.86624	−	3.38688i	−0.236166	−	0.136350i	−0.613413	+	0.789762i	$0.710204\pi$
$618$	−13.0910	−	10.2081i	−0.526597	−	0.410629i
$619$	−10.8002	+	33.2396i	−0.434097	+	1.33601i	0.459912	+	0.887964i	$0.347881\pi$
$619$	−10.8002	+	33.2396i	−0.434097	+	1.33601i	−0.894009	+	0.448049i	$0.852119\pi$
$620$	−1.14418	+	5.38296i	−0.0459515	+	0.216185i
$621$	−3.99274	+	6.96070i	−0.160223	+	0.279323i
$622$	7.32583	−	16.4541i	0.293739	−	0.659749i
$623$	−17.2748	−	53.1663i	−0.692099	−	2.13006i
$624$	2.34627	+	16.7641i	0.0939259	+	0.671100i
$625$	23.3749	+	16.9829i	0.934997	+	0.679315i
$626$	0.386551	+	0.669526i	0.0154497	+	0.0267596i
$627$	−2.73330	−	16.8857i	−0.109158	−	0.674351i
$628$	3.03100	−	5.24985i	0.120950	−	0.209492i
$629$	−16.1624	−	11.7427i	−0.644438	−	0.468212i
$630$	37.0024	−	5.27101i	1.47421	−	0.210002i
$631$	22.8874	+	4.86487i	0.911134	+	0.193667i	0.639552	−	0.768748i	$-0.279120\pi$
$631$	22.8874	+	4.86487i	0.911134	+	0.193667i	0.271582	+	0.962415i	$0.412453\pi$
$632$	−26.2913	−	36.1869i	−1.04581	−	1.43944i
$633$	12.5227	+	18.5282i	0.497733	+	0.736432i
$634$	−12.4371	−	11.1985i	−0.493942	−	0.444747i
$635$	−29.4473	+	6.25922i	−1.16858	+	0.248389i
$636$	3.82490	+	0.533904i	0.151667	+	0.0211707i
$637$	13.9103	+	8.72132i	0.551147	+	0.345551i
$638$	14.0133	−	23.4526i	0.554790	−	0.928498i
$639$	1.62887	−	23.9378i	0.0644371	−	0.946964i
$640$	−15.4304	−	1.62180i	−0.609939	−	0.0641071i
$641$	14.1687	−	12.7576i	0.559630	−	0.503894i	−0.340071	−	0.940400i	$-0.610451\pi$
$641$	14.1687	−	12.7576i	0.559630	−	0.503894i	0.899701	+	0.436506i	$0.143784\pi$
$642$	−19.1167	+	19.8330i	−0.754474	+	0.782746i
$643$	−4.83485	−	46.0005i	−0.190668	−	1.81408i	−0.503194	−	0.864173i	$-0.667842\pi$
$643$	−4.83485	−	46.0005i	−0.190668	−	1.81408i	0.312526	−	0.949909i	$-0.398825\pi$
$644$	−0.281530	−	2.67858i	−0.0110938	−	0.105551i
$645$	22.3627	−	23.2006i	0.880530	−	0.913525i
$646$	18.1124	−	16.3084i	0.712622	−	0.641647i
$647$	22.4689	+	2.36157i	0.883342	+	0.0928430i	0.535326	−	0.844646i	$-0.320189\pi$
$647$	22.4689	+	2.36157i	0.883342	+	0.0928430i	0.348016	+	0.937489i	$0.386855\pi$
$648$	−16.8984	+	21.7967i	−0.663832	+	0.856255i
$649$	−3.67387	+	0.330542i	−0.144212	+	0.0129749i
$650$	−15.0313	−	9.42412i	−0.589575	−	0.369644i
$651$	20.8057	+	2.90420i	0.815441	+	0.113825i
$652$	−3.08757	+	0.656284i	−0.120919	+	0.0257021i
$653$	−20.6872	−	18.6268i	−0.809551	−	0.728923i	0.156387	−	0.987696i	$-0.450015\pi$
$653$	−20.6872	−	18.6268i	−0.809551	−	0.728923i	−0.965938	+	0.258773i	$0.916682\pi$
$654$	−0.278352	−	0.411841i	−0.0108844	−	0.0161043i
$655$	0.785415	+	1.08103i	0.0306887	+	0.0422394i
$656$	26.9239	+	5.72285i	1.05120	+	0.223440i
$657$	−3.10681	−	21.8098i	−0.121208	−	0.850882i
$658$	32.1681	+	23.3715i	1.25404	+	0.911115i
$659$	7.41180	−	12.8376i	0.288723	−	0.500082i	−0.684783	−	0.728747i	$-0.740103\pi$
$659$	7.41180	−	12.8376i	0.288723	−	0.500082i	0.973505	+	0.228665i	$0.0734362\pi$
$660$	8.75530	+	1.35621i	0.340800	+	0.0527905i
$661$	−6.92434	−	11.9933i	−0.269326	−	0.466486i	0.699362	−	0.714768i	$-0.253468\pi$
$661$	−6.92434	−	11.9933i	−0.269326	−	0.466486i	−0.968688	+	0.248282i	$0.920134\pi$
$662$	18.6218	+	13.5295i	0.723756	+	0.525839i
$663$	33.0475	−	25.7891i	1.28346	−	1.00157i
$664$	−8.06846	−	24.8322i	−0.313117	−	0.963675i
$665$	12.3743	−	27.7932i	0.479856	−	1.07777i
$666$	−9.22240	+	5.78683i	−0.357361	+	0.224235i
$667$	−2.16902	+	10.2044i	−0.0839848	+	0.395117i
$668$	−1.82203	+	5.60762i	−0.0704963	+	0.216965i
$669$	23.2339	+	18.1173i	0.898274	+	0.700455i
$670$	29.6895	+	17.1413i	1.14701	+	0.662225i
$671$	−18.2310	−	42.6570i	−0.703798	−	1.64676i
$672$	0.564610	−	16.6141i	0.0217803	−	0.640904i
$673$	−34.4339	−	3.61915i	−1.32733	−	0.139508i	−0.585815	−	0.810445i	$-0.699225\pi$
$673$	−34.4339	−	3.61915i	−1.32733	−	0.139508i	−0.741514	+	0.670937i	$0.765892\pi$
$674$	5.65436	+	26.6017i	0.217798	+	1.02466i
$675$	−4.41702	−	20.4973i	−0.170011	−	0.788941i
$676$	5.87993	+	3.14919i	0.226151	+	0.121123i
$677$	−27.4344	+	19.9323i	−1.05439	+	0.766060i	−0.973043	−	0.230626i	$-0.925923\pi$
$677$	−27.4344	+	19.9323i	−1.05439	+	0.766060i	−0.0813488	+	0.996686i	$0.525923\pi$
$678$	0.437590	−	1.76210i	0.0168055	−	0.0676731i
$679$	−1.15982	−	5.45654i	−0.0445099	−	0.209403i
$680$	25.1486	+	56.4847i	0.964405	+	2.16609i
$681$	−1.79040	−	3.35966i	−0.0686082	−	0.128742i
$682$	−13.0938	−	6.06652i	−0.501388	−	0.232299i
$683$	−11.4377	−	6.60354i	−0.437650	−	0.252678i	0.264950	−	0.964262i	$-0.414645\pi$
$683$	−11.4377	−	6.60354i	−0.437650	−	0.252678i	−0.702600	+	0.711585i	$0.747978\pi$
$684$	1.57569	+	4.30410i	0.0602482	+	0.164571i
$685$	5.35763	+	5.95025i	0.204705	+	0.227347i
$686$	−7.53532	−	6.78483i	−0.287700	−	0.259046i
$687$	1.90812	+	26.9252i	0.0727994	+	1.02726i
$688$	9.86100	+	13.5725i	0.375947	+	0.517447i
$689$	−10.9013	+	11.2546i	−0.415305	+	0.428766i
$690$	9.65365	−	1.71152i	0.367508	−	0.0651563i
$691$	−2.09661	+	19.9479i	−0.0797588	+	0.758854i	0.879419	+	0.476049i	$0.157932\pi$
$691$	−2.09661	+	19.9479i	−0.0797588	+	0.758854i	−0.959177	+	0.282805i	$0.908735\pi$
$692$	−2.78590	−	4.82532i	−0.105904	−	0.183431i
$693$	2.80155	−	33.7040i	0.106422	−	1.28031i
$694$	−21.1437			−0.802605
$695$	−41.1731	+	18.3314i	−1.56178	+	0.695351i
$696$	−12.2318	+	33.7047i	−0.463645	+	1.27757i
$697$	−21.0638	−	64.8276i	−0.797847	−	2.45552i
$698$	−4.37377	+	0.459701i	−0.165550	+	0.0174000i
$699$	1.82522	+	25.7555i	0.0690363	+	0.974162i
$700$	5.22993	+	4.70905i	0.197673	+	0.177985i
$701$	1.05686	−	3.25268i	0.0399171	−	0.122852i	−0.929112	−	0.369798i	$-0.879427\pi$
$701$	1.05686	−	3.25268i	0.0399171	−	0.122852i	0.969029	+	0.246946i	$0.0794269\pi$
$702$	−6.32556	−	21.9521i	−0.238743	−	0.828527i
$703$			8.86234i			0.334249i
$704$	−9.50300	+	27.8211i	−0.358158	+	1.04855i
$705$	26.4275	−	42.3810i	0.995316	−	1.59616i
$706$	7.00232	+	15.7275i	0.263536	+	0.591911i
$707$	8.06966	+	2.62199i	0.303491	+	0.0986102i
$708$	0.949853	−	0.273328i	0.0356977	−	0.0102723i
$709$	3.10267	+	29.5199i	0.116523	+	1.10864i	0.883974	+	0.467536i	$0.154858\pi$
$709$	3.10267	+	29.5199i	0.116523	+	1.10864i	−0.767451	+	0.641108i	$0.778475\pi$
$710$	−23.7157	+	17.2305i	−0.890035	+	0.646648i
$711$	30.4773	+	31.4422i	1.14299	+	1.17917i
$712$	−10.4785	−	49.2976i	−0.392700	−	1.84751i
$713$	5.48033	+	0.576006i	0.205240	+	0.0215716i
$714$	42.5266	−	22.6629i	1.59152	−	0.848136i
$715$	−25.3926	+	25.4412i	−0.949631	+	0.951448i
$716$		−	2.77251i		−	0.103613i
$717$	−5.60690	+	2.27144i	−0.209394	+	0.0848285i
$718$	25.3528	−	5.38891i	0.946160	−	0.201112i
$719$	−0.808210	+	3.80233i	−0.0301412	+	0.141803i	−0.990645	−	0.136463i	$-0.956426\pi$
$719$	−0.808210	+	3.80233i	−0.0301412	+	0.141803i	0.960504	+	0.278266i	$0.0897598\pi$
$720$	24.4263	−	0.898767i	0.910313	−	0.0334951i
$721$	−26.5701	+	2.79263i	−0.989522	+	0.104003i
$722$	12.0865	+	2.56907i	0.449813	+	0.0956107i
$723$	−0.722510	−	4.07525i	−0.0268704	−	0.151560i
$724$	4.41422	−	1.96534i	0.164053	−	0.0730411i
$725$	−13.6297	−	23.6074i	−0.506195	−	0.876756i
$726$	−8.57662	+	21.5914i	−0.318308	+	0.801333i
$727$	16.3416			0.606077			0.303039	−	0.952978i	$-0.401999\pi$
$727$	16.3416			0.606077			0.303039	+	0.952978i	$0.401999\pi$
$728$	29.5597	+	23.1664i	1.09556	+	0.858605i
$729$	13.3685	−	23.4581i	0.495129	−	0.868820i
$730$	−18.0101	+	20.0023i	−0.666584	+	0.740317i
$731$	16.8980	−	37.9536i	0.624996	−	1.40377i
$732$	6.96050	+	10.2986i	0.257268	+	0.380646i
$733$	15.9585	−	5.18522i	0.589439	−	0.191520i	0.000914401	−	1.00000i	$-0.499709\pi$
$733$	15.9585	−	5.18522i	0.589439	−	0.191520i	0.588525	+	0.808479i	$0.299709\pi$
$734$	8.61375	+	9.56654i	0.317939	+	0.353107i
$735$	14.5783	−	18.6954i	0.537729	−	0.689591i
$736$		−	4.36061i		−	0.160734i
$737$	21.1004	−	22.7394i	0.777241	−	0.837616i
$738$	−37.0625	−	2.52195i	−1.36429	−	0.0928343i
$739$	−0.630408	−	0.0662586i	−0.0231899	−	0.00243736i	0.0929264	−	0.995673i	$-0.470378\pi$
$739$	−0.630408	−	0.0662586i	−0.0231899	−	0.00243736i	−0.116116	+	0.993236i	$0.537045\pi$
$740$	−4.36554	−	1.41845i	−0.160480	−	0.0521433i
$741$	−17.8724	−	5.13587i	−0.656558	−	0.188671i
$742$	−14.5719	+	10.5871i	−0.534951	+	0.388665i
$743$	−1.17224	−	0.521917i	−0.0430055	−	0.0191473i	0.385121	−	0.922866i	$-0.374160\pi$
$743$	−1.17224	−	0.521917i	−0.0430055	−	0.0191473i	−0.428127	+	0.903719i	$0.640826\pi$
$744$	18.3811	+	4.56464i	0.673882	+	0.167348i
$745$	−9.92926	+	8.94035i	−0.363780	+	0.327549i
$746$	−8.60407	+	11.8425i	−0.315017	+	0.433584i
$747$	11.2482	+	22.9531i	0.411551	+	0.839811i
$748$	11.2074	−	2.20717i	0.409784	−	0.0807019i
$749$			44.3320i			1.61986i
$750$	3.76623	−	4.82986i	0.137523	−	0.176362i
$751$	26.2862	−	5.58731i	0.959198	−	0.203884i	0.298394	−	0.954443i	$-0.403549\pi$
$751$	26.2862	−	5.58731i	0.959198	−	0.203884i	0.660804	+	0.750559i	$0.270216\pi$
$752$	19.3241	+	17.3995i	0.704677	+	0.634494i
$753$	−10.0742	+	20.7044i	−0.367125	+	0.754510i
$754$	−16.5710	−	24.6476i	−0.603482	−	0.897614i
$755$	−0.392622	−	1.20837i	−0.0142890	−	0.0439770i
$756$	0.972559	+	9.00985i	0.0353716	+	0.327685i
$757$	−3.04375	+	28.9594i	−0.110627	+	1.05255i	0.788553	+	0.614967i	$0.210831\pi$
$757$	−3.04375	+	28.9594i	−0.110627	+	1.05255i	−0.899180	+	0.437579i	$0.855836\pi$
$758$	−20.6088	+	35.6955i	−0.748546	+	1.29652i
$759$	0.434181	−	8.86084i	0.0157598	−	0.321628i
$760$	13.7142	−	23.7537i	0.497466	−	0.861636i
$761$	24.4121	−	10.8690i	0.884938	−	0.394000i	0.0866236	−	0.996241i	$-0.472392\pi$
$761$	24.4121	−	10.8690i	0.884938	−	0.394000i	0.798314	+	0.602242i	$0.205726\pi$
$762$	3.69269	+	20.8283i	0.133772	+	0.754529i
$763$	−0.782510	−	0.166328i	−0.0283288	−	0.00602147i
$764$	−2.39281	+	5.37433i	−0.0865687	+	0.194437i
$765$	−32.1721	−	51.2723i	−1.16318	−	1.85375i
$766$	−14.7888	+	4.80517i	−0.534341	+	0.173618i
$767$	−1.37720	+	3.76614i	−0.0497277	+	0.135988i
$768$	2.73795	−	19.6147i	0.0987974	−	0.707786i
$769$	19.8228	−	11.4447i	0.714827	−	0.412706i	−0.0980185	−	0.995185i	$-0.531250\pi$
$769$	19.8228	−	11.4447i	0.714827	−	0.412706i	0.812846	+	0.582479i	$0.197917\pi$
$770$	−33.7895	+	23.7839i	−1.21769	+	0.857112i
$771$	−0.343643	+	10.1120i	−0.0123760	+	0.364175i
$772$	1.50682	−	2.07396i	0.0542315	−	0.0746433i
$773$	31.2815	−	28.1660i	1.12512	−	1.01306i	0.125337	−	0.992114i	$-0.459999\pi$
$773$	31.2815	−	28.1660i	1.12512	−	1.01306i	0.999781	−	0.0209459i	$-0.00666778\pi$
$774$	−15.7586	−	16.2575i	−0.566432	−	0.584365i
$775$	−11.6488	+	8.46338i	−0.418439	+	0.304014i
$776$	−0.525702	−	5.00172i	−0.0188716	−	0.179551i
$777$	−4.22309	+	17.0057i	−0.151502	+	0.610075i
$778$	0.939353	+	4.41931i	0.0336774	+	0.158440i
$779$	−17.7735	+	24.4631i	−0.636800	+	0.876480i
$780$	5.39044	−	7.98182i	0.193009	−	0.285795i
$781$	10.4244	+	24.3912i	0.373015	+	0.872785i
$782$	10.9469	−	6.32020i	0.391461	−	0.226010i
$783$	7.20161	−	34.3550i	0.257365	−	1.22775i
$784$	8.25896	+	9.17250i	0.294963	+	0.327589i
$785$	33.7754	−	10.9743i	1.20549	−	0.391689i
$786$	0.777881	−	0.525748i	0.0277461	−	0.0187528i
$787$	−32.4030	+	3.40570i	−1.15504	+	0.121400i	−0.662620	−	0.748956i	$-0.730556\pi$
$787$	−32.4030	+	3.40570i	−1.15504	+	0.121400i	−0.492424	+	0.870356i	$0.663889\pi$
$788$	−1.58004	−	4.86286i	−0.0562866	−	0.173232i
$789$	3.41659	−	9.41442i	0.121634	−	0.335162i
$790$	5.59231	−	53.2072i	0.198965	−	1.89303i
$791$	−1.46100	−	2.53053i	−0.0519473	−	0.0899754i
$792$	5.68811	−	29.9555i	0.202118	−	1.06442i
$793$	−50.3973	−	1.83597i	−1.78966	−	0.0651973i
$794$	0.310107	+	0.225306i	0.0110053	+	0.00799582i
$795$	14.5593	+	17.3181i	0.516364	+	0.614210i
$796$	0.211764	−	0.235187i	0.00750577	−	0.00833600i
$797$	−28.4477	+	2.98997i	−1.00767	+	0.105910i	−0.593956	−	0.804498i	$-0.702435\pi$
$797$	−28.4477	+	2.98997i	−1.00767	+	0.105910i	−0.413712	+	0.910408i	$0.635768\pi$
$798$	−19.2220	−	9.35295i	−0.680453	−	0.331091i
$799$	13.3883	−	62.9870i	0.473644	−	2.22832i
$800$	7.62414	+	8.46747i	0.269554	+	0.299370i
$801$	16.9618	+	46.3320i	0.599315	+	1.63706i
$802$	30.9721	+	17.8818i	1.09366	+	0.631427i
$803$	14.0186	+	19.9160i	0.494705	+	0.702821i
$804$	−4.39817	+	7.05322i	−0.155111	+	0.248748i
$805$	9.27441	−	12.7651i	0.326880	−	0.449912i
$806$	−12.0329	+	10.0659i	−0.423841	+	0.354558i
$807$	28.5210	+	27.4909i	1.00399	+	0.967725i
$808$	6.98829	+	3.11139i	0.245847	+	0.109458i
$809$	−34.2870	−	15.2655i	−1.20547	−	0.536708i	−0.297085	−	0.954851i	$-0.596014\pi$
$809$	−34.2870	−	15.2655i	−1.20547	−	0.536708i	−0.908381	+	0.418143i	$0.862681\pi$
$810$	−32.4651	+	5.84988i	−1.14071	+	0.205544i
$811$	−51.9317	−	16.8736i	−1.82357	−	0.592513i	−0.999668	−	0.0257780i	$-0.991794\pi$
$811$	−51.9317	−	16.8736i	−1.82357	−	0.592513i	−0.823900	−	0.566735i	$-0.808206\pi$
$812$	4.79193	+	10.7629i	0.168164	+	0.377702i
$813$	0.364773	−	10.7338i	0.0127932	−	0.376450i
$814$	6.17393	−	10.3327i	0.216396	−	0.362161i
$815$	−16.0148	−	9.24614i	−0.560973	−	0.323878i
$816$	29.2080	−	11.8326i	1.02248	−	0.414224i
$817$	−18.0271	+	3.83179i	−0.630690	+	0.134057i
$818$	43.9370	−	14.2760i	1.53622	−	0.499148i
$819$	−31.8474	−	18.3716i	−1.11284	−	0.641956i
$820$	−9.20567	−	12.6705i	−0.321476	−	0.442474i
$821$	29.5801	−	32.8521i	1.03235	−	1.14655i	0.0432894	−	0.999063i	$-0.486216\pi$
$821$	29.5801	−	32.8521i	1.03235	−	1.14655i	0.989065	−	0.147483i	$-0.0471171\pi$
$822$	4.30633	−	3.62031i	0.150201	−	0.126273i
$823$	−6.82138	+	3.03707i	−0.237778	+	0.105866i	−0.522167	−	0.852843i	$-0.674876\pi$
$823$	−6.82138	+	3.03707i	−0.237778	+	0.105866i	0.284388	+	0.958709i	$0.408209\pi$
$824$	−24.0863			−0.839087
$825$	14.6493	+	17.9652i	0.510023	+	0.625467i
$826$	−2.30489	+	3.99218i	−0.0801972	+	0.138906i
$827$	−33.0380	−	24.0035i	−1.14885	−	0.834685i	−0.160518	−	0.987033i	$-0.551317\pi$
$827$	−33.0380	−	24.0035i	−1.14885	−	0.834685i	−0.988327	+	0.152348i	$0.951317\pi$
$828$	0.335238	+	2.35337i	0.0116503	+	0.0817852i
$829$	0.313231	−	0.347878i	0.0108790	−	0.0120823i	−0.737681	−	0.675150i	$-0.764079\pi$
$829$	0.313231	−	0.347878i	0.0108790	−	0.0120823i	0.748560	+	0.663067i	$0.230746\pi$
$830$	12.7023	−	28.5299i	0.440905	−	0.990288i
$831$	−17.3738	+	35.7064i	−0.602691	+	1.23864i
$832$	22.9569	+	22.2362i	0.795889	+	0.770903i
$833$	9.44533	−	29.0698i	0.327261	−	1.00721i
$834$	11.8904	+	29.3506i	0.411731	+	1.01633i
$835$	−29.9144	+	17.2711i	−1.03523	+	0.597691i
$836$	−3.71442	−	3.44669i	−0.128466	−	0.119206i
$837$	−18.4449	−	1.88629i	−0.637550	−	0.0651998i
$838$	−12.2651	−	27.5480i	−0.423693	−	0.951629i
$839$	0.785928	−	0.707653i	0.0271333	−	0.0244309i	−0.655452	−	0.755236i	$-0.727522\pi$
$839$	0.785928	−	0.707653i	0.0271333	−	0.0244309i	0.682586	+	0.730806i	$0.260855\pi$
$840$	37.6348	−	39.0451i	1.29852	−	1.34718i
$841$	−1.73877	−	16.5433i	−0.0599575	−	0.570457i
$842$	7.69043	+	3.42400i	0.265030	+	0.117999i
$843$	18.6297	+	4.62640i	0.641642	+	0.159342i
$844$	6.30047	+	2.04715i	0.216871	+	0.0704657i
$845$	13.2541	+	36.7598i	0.455956	+	1.26458i
$846$	−29.1307	−	19.5697i	−1.00154	−	0.672820i
$847$	14.1770	+	34.5977i	0.487128	+	1.18879i
$848$	−10.2011	+	5.88961i	−0.350307	+	0.202250i
$849$	−6.35237	+	8.14637i	−0.218013	+	0.279583i
$850$	−10.2065	+	31.4123i	−0.350079	+	1.07743i
$851$	−0.955623	+	4.49585i	−0.0327583	+	0.154116i
$852$	−3.98000	−	5.88869i	−0.136352	−	0.201743i
$853$	24.9121	+	34.2885i	0.852973	+	1.17402i	0.983200	+	0.182533i	$0.0584296\pi$
$853$	24.9121	+	34.2885i	0.852973	+	1.17402i	−0.130226	+	0.991484i	$0.541570\pi$
$854$	−56.7060	−	12.0532i	−1.94044	−	0.412453i
$855$	−10.0122	+	24.9152i	−0.342409	+	0.852082i
$856$	−4.17776	+	39.7487i	−0.142793	+	1.35858i
$857$	−53.9118			−1.84159			−0.920796	−	0.390044i	$-0.872460\pi$
$857$	−53.9118			−1.84159			−0.920796	+	0.390044i	$0.872460\pi$
$858$	17.2597	+	18.4387i	0.589237	+	0.629488i
$859$	−30.7883			−1.05048			−0.525241	−	0.850953i	$-0.676025\pi$
$859$	−30.7883			−1.05048			−0.525241	+	0.850953i	$0.676025\pi$
$860$	0.997793	−	9.49336i	0.0340245	−	0.323721i
$861$	−45.7621	+	38.4720i	−1.55957	+	1.31112i
$862$	21.8452	+	4.64335i	0.744052	+	0.158153i
$863$	−29.3692	−	40.4233i	−0.999740	−	1.37602i	−0.925485	−	0.378785i	$-0.876342\pi$
$863$	−29.3692	−	40.4233i	−0.999740	−	1.37602i	−0.0742551	−	0.997239i	$-0.523658\pi$
$864$	0.0411975	+	14.6720i	0.00140157	+	0.499151i
$865$	6.78660	−	31.9285i	0.230751	−	1.08560i
$866$	7.46401	−	22.9719i	0.253637	−	0.780616i
$867$	−38.3219	−	29.8827i	−1.30148	−	1.01487i
$868$	5.38934	−	3.11154i	0.182926	−	0.105613i
$869$	−45.8118	−	15.6481i	−1.55406	−	0.530827i
$870$	−37.8476	+	20.1694i	−1.28315	+	0.683806i
$871$	−12.5859	−	31.2868i	−0.426456	−	1.06011i
$872$	−0.685936	−	0.222874i	−0.0232287	−	0.00754747i
$873$	1.20005	+	4.77503i	0.0406155	+	0.161610i
$874$	−5.12260	−	2.28073i	−0.173275	−	0.0771468i
$875$	−1.03033	−	9.80291i	−0.0348314	−	0.331399i
$876$	−4.69864	−	4.52893i	−0.158752	−	0.153018i
$877$	−4.59023	+	4.13306i	−0.155001	+	0.139563i	−0.742982	−	0.669311i	$-0.766589\pi$
$877$	−4.59023	+	4.13306i	−0.155001	+	0.139563i	0.587982	+	0.808874i	$0.299923\pi$
$878$	−3.44310	−	7.73332i	−0.116199	−	0.260987i
$879$	3.42789	+	6.43238i	0.115620	+	0.216959i
$880$	−23.6021	+	13.1590i	−0.795626	+	0.443588i
$881$	−36.1024	+	20.8437i	−1.21632	+	0.702242i	−0.964129	−	0.265435i	$-0.914484\pi$
$881$	−36.1024	+	20.8437i	−1.21632	+	0.702242i	−0.252191	+	0.967678i	$0.581151\pi$
$882$	−12.7807	−	10.6836i	−0.430348	−	0.359734i
$883$	9.93038	−	30.5626i	0.334184	−	1.02851i	−0.632939	−	0.774202i	$-0.718151\pi$
$883$	9.93038	−	30.5626i	0.334184	−	1.02851i	0.967123	−	0.254311i	$-0.0818485\pi$
$884$	3.02229	−	12.0444i	0.101651	−	0.405096i
$885$	5.20676	+	2.53348i	0.175023	+	0.0851618i
$886$	−4.41874	+	9.92465i	−0.148450	+	0.333425i
$887$	−24.6885	+	27.4194i	−0.828960	+	0.920653i	−0.997887	−	0.0649751i	$-0.979303\pi$
$887$	−24.6885	+	27.4194i	−0.828960	+	0.920653i	0.168927	+	0.985629i	$0.445970\pi$
$888$	−5.38906	+	14.8496i	−0.180845	+	0.498319i
$889$	27.5415	+	20.0100i	0.923711	+	0.671115i
$890$	30.1407	−	52.2053i	1.01032	−	1.74993i
$891$	−1.37716	+	29.8178i	−0.0461366	+	0.998935i
$892$	8.72779			0.292228
$893$	−26.0961	+	11.6187i	−0.873273	+	0.388806i
$894$	6.04127	+	7.18603i	0.202050	+	0.240337i
$895$	10.8683	−	12.0705i	0.363287	−	0.403471i
$896$	10.3126	+	14.1941i	0.344520	+	0.474192i
$897$	−8.51283	−	4.53259i	−0.284235	−	0.151339i
$898$	−22.6393	+	7.35597i	−0.755485	+	0.245472i
$899$	−23.5779	+	5.01163i	−0.786366	+	0.167147i
$900$	−4.76562	−	3.98366i	−0.158854	−	0.132789i
$901$	25.2620	+	14.5850i	0.841599	+	0.485897i
$902$	37.7644	−	16.1399i	1.25742	−	0.537401i
$903$	−36.4176	−	1.23761i	−1.21190	−	0.0411849i
$904$	−1.07149	−	2.40660i	−0.0356371	−	0.0800422i
$905$	26.9220	+	8.74749i	0.894918	+	0.290776i
$906$	−0.857927	+	0.246876i	−0.0285027	+	0.00820190i
$907$	7.98625	+	3.55571i	0.265179	+	0.118065i	0.535019	−	0.844840i	$-0.320304\pi$
$907$	7.98625	+	3.55571i	0.265179	+	0.118065i	−0.269840	+	0.962905i	$0.586971\pi$
$908$	−1.03024	−	0.458693i	−0.0341898	−	0.0152223i
$909$	−7.20254	−	2.05071i	−0.238893	−	0.0680178i
$910$	7.73365	+	44.2496i	0.256368	+	1.46686i
$911$	8.17730	−	11.2551i	0.270926	−	0.372898i	−0.651776	−	0.758412i	$-0.725976\pi$
$911$	8.17730	−	11.2551i	0.270926	−	0.372898i	0.922702	+	0.385514i	$0.125976\pi$
$912$	−11.8624	−	7.39704i	−0.392804	−	0.244940i
$913$	−22.6103	−	16.9509i	−0.748292	−	0.560994i
$914$	−0.810912	−	0.468180i	−0.0268226	−	0.0154860i
$915$	−10.0672	+	72.1214i	−0.332811	+	2.38426i
$916$	5.35045	+	5.94227i	0.176784	+	0.196338i
$917$	0.314158	−	1.47800i	0.0103744	−	0.0488078i
$918$	−36.7730	+	21.3688i	−1.21369	+	0.705275i
$919$	39.2676	−	4.12719i	1.29532	−	0.136143i	0.568334	−	0.822798i	$-0.307588\pi$
$919$	39.2676	−	4.12719i	1.29532	−	0.136143i	0.726984	+	0.686655i	$0.240921\pi$
$920$	9.51853	−	10.5714i	0.313817	−	0.348529i
$921$	35.6039	−	29.9321i	1.17319	−	0.986295i
$922$	−0.0900527	−	0.0654271i	−0.00296573	−	0.00215473i
$923$	28.8171	+	1.04981i	0.948525	+	0.0345548i
$924$	−5.48506	−	8.38373i	−0.180445	−	0.275805i
$925$	−6.00496	−	10.4009i	−0.197442	−	0.341979i
$926$	5.26619	−	50.1044i	0.173058	−	1.64653i
$927$	23.3442	−	3.32539i	0.766724	−	0.109220i
$928$	5.89437	+	18.1410i	0.193492	+	0.595508i
$929$	−12.5328	+	1.31725i	−0.411188	+	0.0432175i	−0.307864	−	0.951430i	$-0.599614\pi$
$929$	−12.5328	+	1.31725i	−0.411188	+	0.0432175i	−0.103323	+	0.994648i	$0.532948\pi$
$930$	12.6850	+	18.7684i	0.415958	+	0.615440i
$931$	−12.8956	+	4.19003i	−0.422635	+	0.137323i
$932$	5.11800	+	5.68412i	0.167646	+	0.186189i
$933$	9.60598	+	23.7117i	0.314486	+	0.776287i
$934$	−29.9480	+	17.2905i	−0.979928	+	0.565762i
$935$	57.4451	+	34.3242i	1.87866	+	1.12252i
$936$	−26.8235	−	19.4735i	−0.876755	−	0.636511i
$937$	7.43843	−	10.2381i	0.243003	−	0.334465i	−0.670043	−	0.742323i	$-0.733724\pi$
$937$	7.43843	−	10.2381i	0.243003	−	0.334465i	0.913045	+	0.407858i	$0.133724\pi$
$938$	−8.06009	−	37.9198i	−0.263171	−	1.23812i
$939$	−1.06576	−	0.264665i	−0.0347798	−	0.00863702i
$940$	−1.54655	−	14.7144i	−0.0504429	−	0.479932i
$941$	31.4195	−	22.8276i	1.02425	−	0.744159i	0.0570975	−	0.998369i	$-0.481815\pi$
$941$	31.4195	−	22.8276i	1.02425	−	0.744159i	0.967149	+	0.254210i	$0.0818154\pi$
$942$	−6.90049	−	23.9801i	−0.224830	−	0.781315i
$943$	−11.6543	+	10.4936i	−0.379516	+	0.341718i
$944$	−1.77197	+	2.43891i	−0.0576727	+	0.0793797i
$945$	−31.0847	+	43.0380i	−1.01118	+	1.40003i
$946$	23.6875	+	8.09105i	0.770146	+	0.263063i
$947$	12.3519	−	7.13138i	0.401383	−	0.231739i	−0.285698	−	0.958320i	$-0.592225\pi$
$947$	12.3519	−	7.13138i	0.401383	−	0.231739i	0.687081	+	0.726581i	$0.258892\pi$
$948$	12.8471	+	1.79329i	0.417256	+	0.0582433i
$949$	26.0814	−	4.55833i	0.846638	−	0.147970i
$950$	13.9348	−	4.52768i	0.452103	−	0.146897i
$951$	23.7125	−	1.68044i	0.768931	−	0.0544921i
$952$	28.4382	−	63.8733i	0.921688	−	2.07014i
$953$	−8.26214	−	1.75617i	−0.267637	−	0.0568880i	0.0721383	−	0.997395i	$-0.477018\pi$
$953$	−8.26214	−	1.75617i	−0.267637	−	0.0568880i	−0.339775	+	0.940507i	$0.610351\pi$
$954$	12.5088	−	9.81073i	0.404988	−	0.317634i
$955$	−31.4849	+	14.0180i	−1.01883	+	0.453611i
$956$	−0.896032	+	1.55197i	−0.0289797	+	0.0501944i
$957$	10.1712	+	37.4497i	0.328787	+	1.21058i
$958$	−1.93287	+	3.34783i	−0.0624482	+	0.108163i
$959$	0.946422	−	9.00461i	0.0305616	−	0.290774i
$960$	35.3252	−	29.6978i	1.14012	−	0.958491i
$961$	−5.64502	−	17.3736i	−0.182097	−	0.560438i
$962$	−7.30084	−	10.8592i	−0.235388	−	0.350115i
$963$	−1.43872	−	39.1008i	−0.0463621	−	1.26001i
$964$	−0.911129	−	0.820385i	−0.0293455	−	0.0264228i
$965$	14.6901	−	3.12247i	0.472890	−	0.100516i
$966$	−8.74278	−	6.81744i	−0.281294	−	0.219348i
$967$			8.00815i			0.257525i	0.991675	+	0.128762i	$0.0411005\pi$
$967$			8.00815i			0.257525i	−0.991675	+	0.128762i	$0.958900\pi$
$968$	9.45090	+	32.3568i	0.303764	+	1.03999i
$969$	−1.17582	+	34.5995i	−0.0377727	+	1.11149i
$970$	3.53578	−	4.86659i	0.113527	−	0.156257i
$971$	−30.5049	+	27.4667i	−0.978949	+	0.881449i	−0.992960	−	0.118453i	$-0.962207\pi$
$971$	−30.5049	+	27.4667i	−0.978949	+	0.881449i	0.0140111	+	0.999902i	$0.495540\pi$
$972$	−1.15020	−	7.91513i	−0.0368926	−	0.253878i
$973$	46.5588	+	20.7293i	1.49261	+	0.664552i
$974$	−28.4414	+	20.6639i	−0.911322	+	0.662114i
$975$	24.4551	−	6.08250i	0.783190	−	0.194796i
$976$	−36.0570	−	11.7156i	−1.15416	−	0.375008i
$977$	−33.3687	−	3.50720i	−1.06756	−	0.112205i	−0.445583	−	0.895240i	$-0.647004\pi$
$977$	−33.3687	−	3.50720i	−1.06756	−	0.112205i	−0.621977	+	0.783035i	$0.713670\pi$
$978$	−6.87514	+	11.0255i	−0.219843	+	0.352556i
$979$	−39.9843	−	37.1023i	−1.27791	−	1.18579i
$980$		−	7.02292i		−	0.224339i
$981$	0.695572	+	0.121306i	0.0222079	+	0.00387300i
$982$	−17.6427	−	19.5942i	−0.563001	−	0.625276i
$983$	−6.50821	+	2.11465i	−0.207580	+	0.0674467i	−0.410961	−	0.911653i	$-0.634807\pi$
$983$	−6.50821	+	2.11465i	−0.207580	+	0.0674467i	0.203382	+	0.979100i	$0.434807\pi$
$984$	−44.6565	+	30.1820i	−1.42360	+	0.962168i
$985$	12.1836	−	27.3649i	0.388203	−	0.871917i
$986$	−36.9981	+	41.0906i	−1.17826	+	1.30859i
$987$	−55.6116	+	9.85950i	−1.77014	+	0.313831i
$988$	−5.11062	+	2.05587i	−0.162590	+	0.0654059i
$989$	−9.55832			−0.303937
$990$	29.0305	−	22.0740i	0.922649	−	0.701557i
$991$	16.5449	+	28.6567i	0.525568	+	0.910310i	0.999557	+	0.0297789i	$0.00948031\pi$
$991$	16.5449	+	28.6567i	0.525568	+	0.910310i	−0.473989	+	0.880531i	$0.657186\pi$
$992$	9.20435	−	4.09804i	0.292238	−	0.130113i
$993$	−32.1930	+	5.70756i	−1.02161	+	0.181124i
$994$	32.4244	+	6.89201i	1.02844	+	0.218601i
$995$	1.84388	−	0.193800i	0.0584549	−	0.00614386i
$996$	6.80878	+	3.31298i	0.215744	+	0.104976i
$997$	−1.55673	+	7.32384i	−0.0493022	+	0.231948i	−0.995899	−	0.0904709i	$-0.971163\pi$
$997$	−1.55673	+	7.32384i	−0.0493022	+	0.231948i	0.946597	+	0.322419i	$0.104496\pi$
$998$	−3.14731	+	0.668981i	−0.0996263	+	0.0211762i
$999$	3.17287	−	15.1361i	0.100385	−	0.478884i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bq.a.29.37	yes	416
3.2	odd	2	inner	429.2.bq.a.29.16	✓	416
11.8	odd	10	inner	429.2.bq.a.107.37	yes	416
13.9	even	3	inner	429.2.bq.a.425.16	yes	416
33.8	even	10	inner	429.2.bq.a.107.16	yes	416
39.35	odd	6	inner	429.2.bq.a.425.37	yes	416
143.74	odd	30	inner	429.2.bq.a.74.16	yes	416
429.74	even	30	inner	429.2.bq.a.74.37	yes	416

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bq.a.29.16	✓	416	3.2	odd	2	inner
429.2.bq.a.29.37	yes	416	1.1	even	1	trivial
429.2.bq.a.74.16	yes	416	143.74	odd	30	inner
429.2.bq.a.74.37	yes	416	429.74	even	30	inner
429.2.bq.a.107.16	yes	416	33.8	even	10	inner
429.2.bq.a.107.37	yes	416	11.8	odd	10	inner
429.2.bq.a.425.16	yes	416	13.9	even	3	inner
429.2.bq.a.425.37	yes	416	39.35	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bq (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.127461 - 1.21271i) q^{2} +(1.11458 + 1.32579i) q^{3} +(0.501877 + 0.106677i) q^{4} +(1.76681 + 2.43180i) q^{5} +(1.74986 - 1.18268i) q^{6} +(0.706704 - 3.32478i) q^{7} +(0.946962 - 2.91445i) q^{8} +(-0.515413 + 2.95539i) q^{9} +O(q^{10})\)	\(q+(0.127461 - 1.21271i) q^{2} +(1.11458 + 1.32579i) q^{3} +(0.501877 + 0.106677i) q^{4} +(1.76681 + 2.43180i) q^{5} +(1.74986 - 1.18268i) q^{6} +(0.706704 - 3.32478i) q^{7} +(0.946962 - 2.91445i) q^{8} +(-0.515413 + 2.95539i) q^{9} +(3.17427 - 1.83266i) q^{10} +(-0.977496 - 3.16931i) q^{11} +(0.417952 + 0.784281i) q^{12} +(-3.56970 - 0.507177i) q^{13} +(-3.94192 - 1.28081i) q^{14} +(-1.25479 + 5.05285i) q^{15} +(-2.47622 - 1.10248i) q^{16} +(0.701640 + 6.67566i) q^{17} +(3.51834 + 1.00174i) q^{18} +(2.21285 - 1.99246i) q^{19} +(0.627301 + 1.40894i) q^{20} +(5.19563 - 2.76880i) q^{21} +(-3.96804 + 0.781457i) q^{22} +(1.33742 - 0.772162i) q^{23} +(4.91940 - 1.99293i) q^{24} +(-1.24696 + 3.83776i) q^{25} +(-1.07006 + 4.26437i) q^{26} +(-4.49269 + 2.61070i) q^{27} +(0.709357 - 1.59324i) q^{28} +(-4.52019 + 5.02018i) q^{29} +(5.96770 + 2.16574i) q^{30} +(2.88677 + 2.09736i) q^{31} +(1.41182 - 2.44534i) q^{32} +(3.11232 - 4.82840i) q^{33} +8.18507 q^{34} +(9.33381 - 4.15568i) q^{35} +(-0.573947 + 1.42826i) q^{36} +(-1.99150 + 2.21178i) q^{37} +(-2.13423 - 2.93751i) q^{38} +(-3.30632 - 5.29795i) q^{39} +(8.76046 - 2.84645i) q^{40} +(-9.93295 + 2.11131i) q^{41} +(-2.69552 - 6.65370i) q^{42} +(-5.36011 - 3.09466i) q^{43} +(-0.152490 - 1.69488i) q^{44} +(-8.09756 + 3.96823i) q^{45} +(-0.765939 - 1.72033i) q^{46} +(-9.12373 - 2.96448i) q^{47} +(-1.29829 - 4.51175i) q^{48} +(-4.15992 - 1.85212i) q^{49} +(4.49515 + 2.00137i) q^{50} +(-8.06846 + 8.37080i) q^{51} +(-1.73745 - 0.635346i) q^{52} +(2.55432 - 3.51572i) q^{53} +(2.59338 + 5.78109i) q^{54} +(5.98007 - 7.97663i) q^{55} +(-9.02069 - 5.20810i) q^{56} +(5.10799 + 0.713006i) q^{57} +(5.51188 + 6.12156i) q^{58} +(0.231237 - 1.08788i) q^{59} +(-1.16878 + 2.40205i) q^{60} +(13.9103 - 1.46204i) q^{61} +(2.91144 - 3.23348i) q^{62} +(9.46179 + 3.80222i) q^{63} +(-7.17132 - 5.21027i) q^{64} +(-5.07362 - 9.57689i) q^{65} +(-5.45875 - 4.38977i) q^{66} +(4.67660 + 8.10010i) q^{67} +(-0.360004 + 3.42521i) q^{68} +(2.51439 + 0.912499i) q^{69} +(-3.84994 - 11.8489i) q^{70} +(-7.95390 + 0.835989i) q^{71} +(8.12527 + 4.30079i) q^{72} +(-6.98392 + 2.26921i) q^{73} +(2.42841 + 2.69702i) q^{74} +(-6.47788 + 2.62429i) q^{75} +(1.32313 - 0.763909i) q^{76} +(-11.2281 + 1.01020i) q^{77} +(-6.84630 + 3.33432i) q^{78} +(8.57951 - 11.8087i) q^{79} +(-1.69398 - 7.96955i) q^{80} +(-8.46870 - 3.04650i) q^{81} +(1.29435 + 12.3149i) q^{82} +(6.89311 - 5.00814i) q^{83} +(2.90293 - 0.835343i) q^{84} +(-14.9942 + 13.5008i) q^{85} +(-4.43613 + 6.10581i) q^{86} +(-11.6938 - 0.397399i) q^{87} +(-10.1624 - 0.152349i) q^{88} +(14.2430 - 8.22321i) q^{89} +(3.78018 + 10.3258i) q^{90} +(-4.20898 + 11.5101i) q^{91} +(0.753594 - 0.244858i) q^{92} +(0.436891 + 6.16491i) q^{93} +(-4.75797 + 10.6866i) q^{94} +(8.75496 + 1.86092i) q^{95} +(4.81559 - 0.853766i) q^{96} +(1.49929 - 0.667525i) q^{97} +(-2.77631 + 4.80871i) q^{98} +(9.87036 - 1.25538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9}+O(q^{10}) \) 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9	\( 416 q - 3 q^{3} + 42 q^{4} - 5 q^{6} - 10 q^{7} + 3 q^{9} - 52 q^{12} - 20 q^{13} - 3 q^{15} + 30 q^{16} - 20 q^{18} - 10 q^{19} + 4 q^{22} + 5 q^{24} + 60 q^{25} - 24 q^{27} - 10 q^{28} - 65 q^{30} - 8 q^{31} + 49 q^{33} - 24 q^{34} + 3 q^{36} - 6 q^{37} - 35 q^{39} - 120 q^{40} - 13 q^{42} - 32 q^{45} - 30 q^{46} - 33 q^{48} - 26 q^{49} - 100 q^{51} - 60 q^{52} - 42 q^{55} - 20 q^{57} - 34 q^{58} + 32 q^{60} - 30 q^{61} - 45 q^{63} + 40 q^{64} + 42 q^{66} + 32 q^{67} - 33 q^{69} - 268 q^{70} + 55 q^{72} - 40 q^{73} + 9 q^{75} - 32 q^{78} - 37 q^{81} + 28 q^{82} - 180 q^{84} - 10 q^{85} - 142 q^{88} - 30 q^{90} + 8 q^{91} - 26 q^{93} - 90 q^{94} + 330 q^{96} - 14 q^{97} - 4 q^{99}+O(q^{100}) \) 416 * q - 3 * q^3 + 42 * q^4 - 5 * q^6 - 10 * q^7 + 3 * q^9 - 52 * q^12 - 20 * q^13 - 3 * q^15 + 30 * q^16 - 20 * q^18 - 10 * q^19 + 4 * q^22 + 5 * q^24 + 60 * q^25 - 24 * q^27 - 10 * q^28 - 65 * q^30 - 8 * q^31 + 49 * q^33 - 24 * q^34 + 3 * q^36 - 6 * q^37 - 35 * q^39 - 120 * q^40 - 13 * q^42 - 32 * q^45 - 30 * q^46 - 33 * q^48 - 26 * q^49 - 100 * q^51 - 60 * q^52 - 42 * q^55 - 20 * q^57 - 34 * q^58 + 32 * q^60 - 30 * q^61 - 45 * q^63 + 40 * q^64 + 42 * q^66 + 32 * q^67 - 33 * q^69 - 268 * q^70 + 55 * q^72 - 40 * q^73 + 9 * q^75 - 32 * q^78 - 37 * q^81 + 28 * q^82 - 180 * q^84 - 10 * q^85 - 142 * q^88 - 30 * q^90 + 8 * q^91 - 26 * q^93 - 90 * q^94 + 330 * q^96 - 14 * q^97 - 4 * q^99

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