LMFDB - Embedded newform 135.2.p.a.124.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [135,2,Mod(4,135)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(135, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([2, 9]))

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

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

chi := DirichletCharacter("135.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 135 = 3^{3} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	135.p (of order $18$, degree $6$, 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:	$1.07798042729$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$16$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			124.2
Character	$\chi$	$=$	135.124
Dual form			135.2.p.a.49.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.44418 + 1.72110i) q^{2} +(0.130598 - 1.72712i) q^{3} +(-0.529254 - 3.00155i) q^{4} +(-1.80640 + 1.31792i) q^{5} +(2.78395 + 2.71904i) q^{6} +(-3.05233 - 0.538208i) q^{7} +(2.03885 + 1.17713i) q^{8} +(-2.96589 - 0.451117i) q^{9} +O(q^{10})$	\(q+(-1.44418 + 1.72110i) q^{2} +(0.130598 - 1.72712i) q^{3} +(-0.529254 - 3.00155i) q^{4} +(-1.80640 + 1.31792i) q^{5} +(2.78395 + 2.71904i) q^{6} +(-3.05233 - 0.538208i) q^{7} +(2.03885 + 1.17713i) q^{8} +(-2.96589 - 0.451117i) q^{9} +(0.340491 - 5.01232i) q^{10} +(-3.82718 + 1.39298i) q^{11} +(-5.25316 + 0.522089i) q^{12} +(-0.913372 - 1.08851i) q^{13} +(5.33442 - 4.47611i) q^{14} +(2.04029 + 3.29199i) q^{15} +(0.757669 - 0.275769i) q^{16} +(5.52192 - 3.18808i) q^{17} +(5.05969 - 4.45311i) q^{18} +(-1.59710 + 2.76626i) q^{19} +(4.91185 + 4.72449i) q^{20} +(-1.32818 + 5.20145i) q^{21} +(3.12967 - 8.59869i) q^{22} +(-4.75493 + 0.838423i) q^{23} +(2.29931 - 3.36760i) q^{24} +(1.52618 - 4.76138i) q^{25} +3.19252 q^{26} +(-1.16647 + 5.06353i) q^{27} +9.44656i q^{28} +(-2.87901 - 2.41578i) q^{29} +(-8.61241 - 1.24267i) q^{30} +(0.453633 + 2.57268i) q^{31} +(-2.22999 + 6.12685i) q^{32} +(1.90602 + 6.79192i) q^{33} +(-2.48762 + 14.1080i) q^{34} +(6.22305 - 3.05050i) q^{35} +(0.215659 + 9.14102i) q^{36} +(-0.545540 + 0.314968i) q^{37} +(-2.45452 - 6.74374i) q^{38} +(-1.99928 + 1.43535i) q^{39} +(-5.23434 + 0.560667i) q^{40} +(4.50871 - 3.78325i) q^{41} +(-7.03411 - 9.79775i) q^{42} +(3.01843 + 8.29308i) q^{43} +(6.20665 + 10.7502i) q^{44} +(5.95212 - 3.09390i) q^{45} +(5.42396 - 9.39457i) q^{46} +(-8.23568 - 1.45217i) q^{47} +(-0.377336 - 1.34460i) q^{48} +(2.44919 + 0.891433i) q^{49} +(5.99077 + 9.50300i) q^{50} +(-4.78505 - 9.95338i) q^{51} +(-2.78382 + 3.31763i) q^{52} +0.0211636i q^{53} +(-7.03027 - 9.32026i) q^{54} +(5.07759 - 7.56019i) q^{55} +(-5.58969 - 4.69031i) q^{56} +(4.56908 + 3.11965i) q^{57} +(8.31562 - 1.46627i) q^{58} +(1.27341 + 0.463483i) q^{59} +(8.80124 - 7.86634i) q^{60} +(0.492631 - 2.79385i) q^{61} +(-5.08298 - 2.93466i) q^{62} +(8.81007 + 2.97322i) q^{63} +(-6.51815 - 11.2898i) q^{64} +(3.08449 + 0.762545i) q^{65} +(-14.4422 - 6.52828i) q^{66} +(0.983770 + 1.17241i) q^{67} +(-12.4917 - 14.8870i) q^{68} +(0.827072 + 8.32183i) q^{69} +(-3.73696 + 15.1160i) q^{70} +(-7.47278 - 12.9432i) q^{71} +(-5.51597 - 4.41099i) q^{72} +(-6.31067 - 3.64347i) q^{73} +(0.245765 - 1.39380i) q^{74} +(-8.02417 - 3.25772i) q^{75} +(9.14833 + 3.32972i) q^{76} +(12.4315 - 2.19201i) q^{77} +(0.416937 - 5.51386i) q^{78} +(-0.125585 - 0.105378i) q^{79} +(-1.00521 + 1.49670i) q^{80} +(8.59299 + 2.67593i) q^{81} +13.2236i q^{82} +(2.27365 - 2.70963i) q^{83} +(16.3154 + 1.23370i) q^{84} +(-5.77318 + 13.0364i) q^{85} +(-18.6324 - 6.78165i) q^{86} +(-4.54833 + 4.65691i) q^{87} +(-9.44275 - 1.66501i) q^{88} +(-7.60870 + 13.1787i) q^{89} +(-3.27100 + 14.7124i) q^{90} +(2.20206 + 3.81409i) q^{91} +(5.03313 + 13.8284i) q^{92} +(4.50257 - 0.447492i) q^{93} +(14.3931 - 12.0773i) q^{94} +(-0.760698 - 7.10182i) q^{95} +(10.2906 + 4.65161i) q^{96} +(-4.59453 - 12.6234i) q^{97} +(-5.07132 + 2.92793i) q^{98} +(11.9794 - 2.40492i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{4} - 9 q^{5} - 6 q^{6} - 18 q^{9}+O(q^{10}) $ 96 * q - 12 * q^4 - 9 * q^5 - 6 * q^6 - 18 * q^9	$ 96 q - 12 q^{4} - 9 q^{5} - 6 q^{6} - 18 q^{9} - 3 q^{10} - 6 q^{11} - 18 q^{14} - 21 q^{15} - 24 q^{16} - 6 q^{19} - 57 q^{20} + 24 q^{21} - 30 q^{24} + 3 q^{25} + 48 q^{26} - 30 q^{29} - 51 q^{30} - 30 q^{31} - 24 q^{34} - 12 q^{35} + 54 q^{36} - 6 q^{39} - 9 q^{40} - 12 q^{41} + 78 q^{44} + 45 q^{45} - 6 q^{46} - 30 q^{49} + 84 q^{50} - 90 q^{51} + 108 q^{54} - 12 q^{55} - 96 q^{56} + 66 q^{59} + 84 q^{60} + 6 q^{61} + 45 q^{65} - 150 q^{66} + 24 q^{69} - 33 q^{70} - 90 q^{71} + 66 q^{74} + 39 q^{75} + 12 q^{76} + 24 q^{79} + 30 q^{80} - 54 q^{81} + 198 q^{84} - 21 q^{85} + 18 q^{86} + 96 q^{89} + 90 q^{90} - 6 q^{91} + 24 q^{94} + 87 q^{95} + 42 q^{96} + 36 q^{99}+O(q^{100}) $ 96 * q - 12 * q^4 - 9 * q^5 - 6 * q^6 - 18 * q^9 - 3 * q^10 - 6 * q^11 - 18 * q^14 - 21 * q^15 - 24 * q^16 - 6 * q^19 - 57 * q^20 + 24 * q^21 - 30 * q^24 + 3 * q^25 + 48 * q^26 - 30 * q^29 - 51 * q^30 - 30 * q^31 - 24 * q^34 - 12 * q^35 + 54 * q^36 - 6 * q^39 - 9 * q^40 - 12 * q^41 + 78 * q^44 + 45 * q^45 - 6 * q^46 - 30 * q^49 + 84 * q^50 - 90 * q^51 + 108 * q^54 - 12 * q^55 - 96 * q^56 + 66 * q^59 + 84 * q^60 + 6 * q^61 + 45 * q^65 - 150 * q^66 + 24 * q^69 - 33 * q^70 - 90 * q^71 + 66 * q^74 + 39 * q^75 + 12 * q^76 + 24 * q^79 + 30 * q^80 - 54 * q^81 + 198 * q^84 - 21 * q^85 + 18 * q^86 + 96 * q^89 + 90 * q^90 - 6 * q^91 + 24 * q^94 + 87 * q^95 + 42 * q^96 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/135\mathbb{Z}\right)^\times$.

$n$	$56$	$82$
$\chi(n)$	$e\left(\frac{2}{9}\right)$	$-1$

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 $

$2$	−1.44418	+	1.72110i	−1.02119	+	1.21700i	−0.0452462	+	0.998976i	$0.514407\pi$
$2$	−1.44418	+	1.72110i	−1.02119	+	1.21700i	−0.975942	+	0.218029i	$0.930037\pi$
$3$	0.130598	−	1.72712i	0.0754008	−	0.997153i
$3$	0.130598	−	1.72712i	0.0754008	−	0.997153i
$4$	−0.529254	−	3.00155i	−0.264627	−	1.50078i
$5$	−1.80640	+	1.31792i	−0.807848	+	0.589391i
$5$	−1.80640	+	1.31792i	−0.807848	+	0.589391i
$6$	2.78395	+	2.71904i	1.13654	+	1.11004i
$7$	−3.05233	−	0.538208i	−1.15367	−	0.203423i	−0.436093	−	0.899901i	$-0.643638\pi$
$7$	−3.05233	−	0.538208i	−1.15367	−	0.203423i	−0.717578	+	0.696478i	$0.754749\pi$
$8$	2.03885	+	1.17713i	0.720841	+	0.416178i
$9$	−2.96589	−	0.451117i	−0.988629	−	0.150372i
$10$	0.340491	−	5.01232i	0.107673	−	1.58503i
$11$	−3.82718	+	1.39298i	−1.15394	+	0.419999i	−0.846928	−	0.531707i	$-0.821551\pi$
$11$	−3.82718	+	1.39298i	−1.15394	+	0.419999i	−0.307010	+	0.951706i	$0.599328\pi$
$12$	−5.25316	+	0.522089i	−1.51646	+	0.150714i
$13$	−0.913372	−	1.08851i	−0.253324	−	0.301900i	0.624363	−	0.781134i	$-0.285359\pi$
$13$	−0.913372	−	1.08851i	−0.253324	−	0.301900i	−0.877687	+	0.479235i	$0.840914\pi$
$14$	5.33442	−	4.47611i	1.42568	−	1.19629i
$15$	2.04029	+	3.29199i	0.526801	+	0.849989i
$16$	0.757669	−	0.275769i	0.189417	−	0.0689423i
$17$	5.52192	−	3.18808i	1.33926	−	0.773224i	0.352565	−	0.935787i	$-0.385310\pi$
$17$	5.52192	−	3.18808i	1.33926	−	0.773224i	0.986698	+	0.162564i	$0.0519763\pi$
$18$	5.05969	−	4.45311i	1.19258	−	1.04961i
$19$	−1.59710	+	2.76626i	−0.366400	+	0.634623i	−0.989000	−	0.147917i	$-0.952743\pi$
$19$	−1.59710	+	2.76626i	−0.366400	+	0.634623i	0.622600	+	0.782540i	$0.286076\pi$
$20$	4.91185	+	4.72449i	1.09832	+	1.05643i
$21$	−1.32818	+	5.20145i	−0.289832	+	1.13505i
$22$	3.12967	−	8.59869i	0.667247	−	1.83325i
$23$	−4.75493	+	0.838423i	−0.991472	+	0.174823i	−0.645779	−	0.763525i	$-0.723467\pi$
$23$	−4.75493	+	0.838423i	−0.991472	+	0.174823i	−0.345693	+	0.938348i	$0.612356\pi$
$24$	2.29931	−	3.36760i	0.469345	−	0.687409i
$25$	1.52618	−	4.76138i	0.305236	−	0.952277i
$26$	3.19252			0.626105
$27$	−1.16647	+	5.06353i	−0.224488	+	0.974477i
$28$			9.44656i			1.78523i
$29$	−2.87901	−	2.41578i	−0.534619	−	0.448599i	0.335074	−	0.942192i	$-0.391239\pi$
$29$	−2.87901	−	2.41578i	−0.534619	−	0.448599i	−0.869693	+	0.493593i	$0.835683\pi$
$30$	−8.61241	−	1.24267i	−1.57240	−	0.226879i
$31$	0.453633	+	2.57268i	0.0814749	+	0.462067i	0.998062	+	0.0622314i	$0.0198217\pi$
$31$	0.453633	+	2.57268i	0.0814749	+	0.462067i	−0.916587	+	0.399836i	$0.869067\pi$
$32$	−2.22999	+	6.12685i	−0.394210	+	1.08308i
$33$	1.90602	+	6.79192i	0.331796	+	1.18232i
$34$	−2.48762	+	14.1080i	−0.426623	+	2.41950i
$35$	6.22305	−	3.05050i	1.05189	−	0.515629i
$36$	0.215659	+	9.14102i	0.0359431	+	1.52350i
$37$	−0.545540	+	0.314968i	−0.0896863	+	0.0517804i	−0.544172	−	0.838973i	$-0.683156\pi$
$37$	−0.545540	+	0.314968i	−0.0896863	+	0.0517804i	0.454486	+	0.890754i	$0.349823\pi$
$38$	−2.45452	−	6.74374i	−0.398176	−	1.09398i
$39$	−1.99928	+	1.43535i	−0.320141	+	0.229839i
$40$	−5.23434	+	0.560667i	−0.827622	+	0.0886492i
$41$	4.50871	−	3.78325i	0.704142	−	0.590845i	−0.218807	−	0.975768i	$-0.570217\pi$
$41$	4.50871	−	3.78325i	0.704142	−	0.590845i	0.922949	+	0.384923i	$0.125772\pi$
$42$	−7.03411	−	9.79775i	−1.08539	−	1.51183i
$43$	3.01843	+	8.29308i	0.460307	+	1.26468i	0.925255	+	0.379345i	$0.123851\pi$
$43$	3.01843	+	8.29308i	0.460307	+	1.26468i	−0.464948	+	0.885338i	$0.653927\pi$
$44$	6.20665	+	10.7502i	0.935687	+	1.62066i
$45$	5.95212	−	3.09390i	0.887290	−	0.461212i
$46$	5.42396	−	9.39457i	0.799719	−	1.38515i
$47$	−8.23568	−	1.45217i	−1.20130	−	0.211821i	−0.463038	−	0.886338i	$-0.653241\pi$
$47$	−8.23568	−	1.45217i	−1.20130	−	0.211821i	−0.738259	+	0.674517i	$0.764352\pi$
$48$	−0.377336	−	1.34460i	−0.0544638	−	0.194076i
$49$	2.44919	+	0.891433i	0.349884	+	0.127348i
$50$	5.99077	+	9.50300i	0.847222	+	1.34393i
$51$	−4.78505	−	9.95338i	−0.670041	−	1.39375i
$52$	−2.78382	+	3.31763i	−0.386047	+	0.460073i
$53$			0.0211636i			0.00290705i	0.999999	+	0.00145352i	$0.000462671\pi$
$53$			0.0211636i			0.00290705i	−0.999999	+	0.00145352i	$0.999537\pi$
$54$	−7.03027	−	9.32026i	−0.956699	−	1.26833i
$55$	5.07759	−	7.56019i	0.684662	−	1.01942i
$56$	−5.58969	−	4.69031i	−0.746954	−	0.626769i
$57$	4.56908	+	3.11965i	0.605189	+	0.413208i
$58$	8.31562	−	1.46627i	1.09189	−	0.192530i
$59$	1.27341	+	0.463483i	0.165784	+	0.0603403i	0.423579	−	0.905859i	$-0.360774\pi$
$59$	1.27341	+	0.463483i	0.165784	+	0.0603403i	−0.257795	+	0.966200i	$0.582996\pi$
$60$	8.80124	−	7.86634i	1.13624	−	1.01554i
$61$	0.492631	−	2.79385i	0.0630749	−	0.357715i	−0.936892	−	0.349618i	$-0.886311\pi$
$61$	0.492631	−	2.79385i	0.0630749	−	0.357715i	0.999967	−	0.00809745i	$-0.00257753\pi$
$62$	−5.08298	−	2.93466i	−0.645539	−	0.372702i
$63$	8.81007	+	2.97322i	1.10996	+	0.374591i
$64$	−6.51815	−	11.2898i	−0.814768	−	1.41122i
$65$	3.08449	+	0.762545i	0.382584	+	0.0945820i
$66$	−14.4422	−	6.52828i	−1.77772	−	0.803576i
$67$	0.983770	+	1.17241i	0.120187	+	0.143233i	0.822783	−	0.568356i	$-0.192420\pi$
$67$	0.983770	+	1.17241i	0.120187	+	0.143233i	−0.702596	+	0.711589i	$0.747976\pi$
$68$	−12.4917	−	14.8870i	−1.51484	−	1.80532i
$69$	0.827072	+	8.32183i	0.0995678	+	1.00183i
$70$	−3.73696	+	15.1160i	−0.446652	+	1.80671i
$71$	−7.47278	−	12.9432i	−0.886856	−	1.53608i	−0.843572	−	0.537016i	$-0.819551\pi$
$71$	−7.47278	−	12.9432i	−0.886856	−	1.53608i	−0.0432839	−	0.999063i	$-0.513782\pi$
$72$	−5.51597	−	4.41099i	−0.650063	−	0.519840i
$73$	−6.31067	−	3.64347i	−0.738609	−	0.426436i	0.0829546	−	0.996553i	$-0.473564\pi$
$73$	−6.31067	−	3.64347i	−0.738609	−	0.426436i	−0.821563	+	0.570117i	$0.806898\pi$
$74$	0.245765	−	1.39380i	0.0285696	−	0.162026i
$75$	−8.02417	−	3.25772i	−0.926551	−	0.376169i
$76$	9.14833	+	3.32972i	1.04939	+	0.381945i
$77$	12.4315	−	2.19201i	1.41670	−	0.249803i
$78$	0.416937	−	5.51386i	0.0472088	−	0.624322i
$79$	−0.125585	−	0.105378i	−0.0141294	−	0.0118560i	0.635696	−	0.771940i	$-0.280713\pi$
$79$	−0.125585	−	0.105378i	−0.0141294	−	0.0118560i	−0.649825	+	0.760084i	$0.725158\pi$
$80$	−1.00521	+	1.49670i	−0.112386	+	0.167336i
$81$	8.59299	+	2.67593i	0.954776	+	0.297325i
$82$			13.2236i			1.46031i
$83$	2.27365	−	2.70963i	0.249565	−	0.297420i	−0.626689	−	0.779270i	$-0.715590\pi$
$83$	2.27365	−	2.70963i	0.249565	−	0.297420i	0.876254	+	0.481849i	$0.160035\pi$
$84$	16.3154	+	1.23370i	1.78015	+	0.134608i
$85$	−5.77318	+	13.0364i	−0.626189	+	1.41400i
$86$	−18.6324	−	6.78165i	−2.00919	−	0.731284i
$87$	−4.54833	+	4.65691i	−0.487633	+	0.499273i
$88$	−9.44275	−	1.66501i	−1.00660	−	0.177491i
$89$	−7.60870	+	13.1787i	−0.806520	+	1.39693i	0.108739	+	0.994070i	$0.465319\pi$
$89$	−7.60870	+	13.1787i	−0.806520	+	1.39693i	−0.915260	+	0.402864i	$0.868015\pi$
$90$	−3.27100	+	14.7124i	−0.344794	+	1.55082i
$91$	2.20206	+	3.81409i	0.230839	+	0.399825i
$92$	5.03313	+	13.8284i	0.524741	+	1.44171i
$93$	4.50257	−	0.447492i	0.466895	−	0.0464027i
$94$	14.3931	−	12.0773i	1.48454	−	1.24568i
$95$	−0.760698	−	7.10182i	−0.0780460	−	0.728631i
$96$	10.2906	+	4.65161i	1.05028	+	0.474753i
$97$	−4.59453	−	12.6234i	−0.466504	−	1.28171i	−0.920513	−	0.390711i	$-0.872229\pi$
$97$	−4.59453	−	12.6234i	−0.466504	−	1.28171i	0.454010	−	0.890997i	$-0.349993\pi$
$98$	−5.07132	+	2.92793i	−0.512280	+	0.295765i
$99$	11.9794	−	2.40492i	1.20397	−	0.241703i
$100$	−15.0993	−	2.06092i	−1.50993	−	0.206092i
$101$	0.0288119	−	0.163400i	0.00286689	−	0.0162590i	−0.983341	−	0.181772i	$-0.941817\pi$
$101$	0.0288119	−	0.163400i	0.00286689	−	0.0162590i	0.986208	+	0.165513i	$0.0529279\pi$
$102$	24.0413	+	6.13888i	2.38044	+	0.607840i
$103$	−3.82931	+	10.5209i	−0.377313	+	1.03666i	0.595153	+	0.803612i	$0.297091\pi$
$103$	−3.82931	+	10.5209i	−0.377313	+	1.03666i	−0.972466	+	0.233046i	$0.925131\pi$
$104$	−0.580904	−	3.29447i	−0.0569623	−	0.323049i
$105$	−4.45586	−	11.1463i	−0.434848	−	1.08777i
$106$	−0.0364248	−	0.0305641i	−0.00353789	−	0.00296864i
$107$		−	14.7326i		−	1.42426i	−0.702048	−	0.712130i	$-0.747731\pi$
$107$		−	14.7326i		−	1.42426i	0.702048	−	0.712130i	$-0.252269\pi$
$108$	15.8158	+	0.821330i	1.52188	+	0.0790325i
$109$	−11.6642			−1.11723			−0.558614	−	0.829428i	$-0.688667\pi$
$109$	−11.6642			−1.11723			−0.558614	+	0.829428i	$0.688667\pi$
$110$	5.67894	+	19.6573i	0.541465	+	1.87425i
$111$	0.472741	+	0.983348i	0.0448706	+	0.0933352i
$112$	−2.46108	+	0.433954i	−0.232550	+	0.0410048i
$113$	−3.19851	+	8.78785i	−0.300891	+	0.826691i	0.693455	+	0.720500i	$0.256088\pi$
$113$	−3.19851	+	8.78785i	−0.300891	+	0.826691i	−0.994346	+	0.106191i	$0.966135\pi$
$114$	−11.9678	+	3.35853i	−1.12089	+	0.314556i
$115$	7.48435	−	7.78114i	0.697919	−	0.725595i
$116$	−5.72735	+	9.92006i	−0.531771	+	0.921055i
$117$	2.21791	+	3.64045i	0.205046	+	0.336560i
$118$	−2.63673	+	1.52232i	−0.242731	+	0.140141i
$119$	−18.5706	+	6.75913i	−1.70236	+	0.619609i
$120$	0.284745	+	9.11356i	0.0259935	+	0.831950i
$121$	4.28042	−	3.59170i	0.389129	−	0.326518i
$122$	4.09706	+	4.88268i	0.370930	+	0.442057i
$123$	−5.94531	−	8.28116i	−0.536070	−	0.746687i
$124$	7.48194	−	2.72320i	0.671898	−	0.244551i
$125$	3.51822	+	10.6124i	0.314680	+	0.949198i
$126$	−17.8405	+	10.8692i	−1.58936	+	0.968305i
$127$	−10.0122	−	5.78057i	−0.888442	−	0.512942i	−0.0150095	−	0.999887i	$-0.504778\pi$
$127$	−10.0122	−	5.78057i	−0.888442	−	0.512942i	−0.873433	+	0.486945i	$0.838111\pi$
$128$	16.0022	+	2.82163i	1.41441	+	0.249399i
$129$	14.7173	−	4.13014i	1.29579	−	0.363638i
$130$	−5.76697	+	4.20748i	−0.505797	+	0.369021i
$131$	0.712124	+	4.03865i	0.0622185	+	0.352859i	0.999984	+	0.00559058i	$0.00177955\pi$
$131$	0.712124	+	4.03865i	0.0622185	+	0.352859i	−0.937766	+	0.347268i	$0.887109\pi$
$132$	19.3775	−	9.31567i	1.68660	−	0.810825i
$133$	6.36369	−	7.58395i	0.551802	−	0.657612i
$134$	−3.43858			−0.297048
$135$	−4.56620	−	10.6841i	−0.392996	−	0.919540i
$136$	15.0111			1.28719
$137$	2.50031	−	2.97975i	0.213616	−	0.254577i	−0.648587	−	0.761140i	$-0.724640\pi$
$137$	2.50031	−	2.97975i	0.213616	−	0.254577i	0.862203	+	0.506563i	$0.169084\pi$
$138$	−15.5172	−	10.5947i	−1.32091	−	0.901884i
$139$	−2.01943	−	11.4528i	−0.171286	−	0.971411i	−0.942344	−	0.334646i	$-0.891383\pi$
$139$	−2.01943	−	11.4528i	−0.171286	−	0.971411i	0.771058	−	0.636765i	$-0.219728\pi$
$140$	−12.4498	−	17.0643i	−1.05220	−	1.44220i
$141$	−3.58364	+	14.0344i	−0.301797	+	1.18191i
$142$	33.0687	+	5.83090i	2.77506	+	0.489318i
$143$	5.01191	+	2.89363i	0.419117	+	0.241978i
$144$	−2.37157	+	0.476103i	−0.197631	+	0.0396752i
$145$	8.38446	+	0.569563i	0.696291	+	0.0472996i
$146$	15.3845	−	5.59951i	1.27323	−	0.463419i
$147$	1.85947	−	4.11363i	0.153367	−	0.339286i
$148$	1.23412	+	1.47077i	0.101444	+	0.120896i
$149$	11.8482	−	9.94186i	0.970646	−	0.814469i	−0.0120057	−	0.999928i	$-0.503822\pi$
$149$	11.8482	−	9.94186i	0.970646	−	0.814469i	0.982652	+	0.185459i	$0.0593772\pi$
$150$	17.1952	−	9.10570i	1.40398	−	0.743477i
$151$	1.76007	−	0.640613i	0.143232	−	0.0521324i	−0.269409	−	0.963026i	$-0.586828\pi$
$151$	1.76007	−	0.640613i	0.143232	−	0.0521324i	0.412642	+	0.910893i	$0.364606\pi$
$152$	−6.51248	+	3.75998i	−0.528232	+	0.304975i
$153$	−17.8156	+	6.96447i	−1.44031	+	0.563044i
$154$	−14.1806	+	24.5616i	−1.14271	+	1.97923i
$155$	−4.21003	−	4.04944i	−0.338158	−	0.325259i
$156$	5.36639	+	5.24127i	0.429655	+	0.419638i
$157$	−4.56652	+	12.5464i	−0.364448	+	1.00131i	0.612990	+	0.790091i	$0.289967\pi$
$157$	−4.56652	+	12.5464i	−0.364448	+	1.00131i	−0.977438	+	0.211222i	$0.932256\pi$
$158$	0.362734	−	0.0639599i	0.0288576	−	0.00508837i
$159$	0.0365521	+	0.00276393i	0.00289877	+	0.000219194i
$160$	−4.04643	−	14.0065i	−0.319898	−	1.10731i
$161$	14.9649			1.17940
$162$	−17.0154	+	10.9249i	−1.33685	+	0.858343i
$163$			3.85821i			0.302199i	0.988519	+	0.151099i	$0.0482813\pi$
$163$			3.85821i			0.302199i	−0.988519	+	0.151099i	$0.951719\pi$
$164$	−13.7419	−	11.5308i	−1.07306	−	0.900404i
$165$	−12.3942	−	9.75696i	−0.964890	−	0.759578i
$166$	1.38000	+	7.82637i	0.107109	+	0.607444i
$167$	3.90890	−	10.7396i	0.302480	−	0.831056i	−0.691588	−	0.722292i	$-0.743089\pi$
$167$	3.90890	−	10.7396i	0.302480	−	0.831056i	0.994068	−	0.108764i	$-0.0346891\pi$
$168$	−8.83073	+	9.04152i	−0.681305	+	0.697569i
$169$	1.90681	−	10.8141i	0.146678	−	0.831851i
$170$	−14.0995	−	28.7631i	−1.08138	−	2.20603i
$171$	5.98472	−	7.48393i	0.457663	−	0.572310i
$172$	23.2946	−	13.4491i	1.77619	−	1.02549i
$173$	3.15219	+	8.66057i	0.239657	+	0.658451i	0.999961	+	0.00888346i	$0.00282773\pi$
$173$	3.15219	+	8.66057i	0.239657	+	0.658451i	−0.760304	+	0.649567i	$0.774950\pi$
$174$	−1.44642	−	14.5536i	−0.109653	−	1.10330i
$175$	−7.22101	+	13.7119i	−0.545857	+	1.03652i
$176$	−2.51560	+	2.11083i	−0.189620	+	0.159110i
$177$	0.966795	−	2.13880i	0.0726687	−	0.160762i
$178$	−11.6935	−	32.1277i	−0.876467	−	2.40807i
$179$	9.71972	+	16.8351i	0.726486	+	1.25831i	0.958359	+	0.285565i	$0.0921812\pi$
$179$	9.71972	+	16.8351i	0.726486	+	1.25831i	−0.231873	+	0.972746i	$0.574485\pi$
$180$	−12.4367	−	16.2281i	−0.926976	−	1.20957i
$181$	−11.4591	+	19.8477i	−0.851748	+	1.47527i	0.0278814	+	0.999611i	$0.491124\pi$
$181$	−11.4591	+	19.8477i	−0.851748	+	1.47527i	−0.879629	+	0.475660i	$0.842209\pi$
$182$	−9.74462	−	1.71824i	−0.722319	−	0.127364i
$183$	−4.76097	−	1.21570i	−0.351941	−	0.0898674i
$184$	−10.6815	−	3.88775i	−0.787451	−	0.286609i
$185$	0.570363	−	1.28794i	0.0419339	−	0.0946910i
$186$	−5.73234	+	8.39566i	−0.420315	+	0.615599i
$187$	−16.6924	+	19.8933i	−1.22067	+	1.45474i
$188$			25.4884i			1.85893i
$189$	6.28569	−	14.8278i	0.457217	−	1.07856i
$190$	13.3216	+	8.94705i	0.966447	+	0.649087i
$191$	17.8815	+	15.0043i	1.29386	+	1.08567i	0.991172	+	0.132584i	$0.0423273\pi$
$191$	17.8815	+	15.0043i	1.29386	+	1.08567i	0.302685	+	0.953091i	$0.402117\pi$
$192$	−20.3500	+	9.78320i	−1.46864	+	0.706042i
$193$	13.2329	−	2.33332i	0.952525	−	0.167956i	0.324271	−	0.945964i	$-0.394881\pi$
$193$	13.2329	−	2.33332i	0.952525	−	0.167956i	0.628254	+	0.778008i	$0.283770\pi$
$194$	28.3614	+	10.3227i	2.03623	+	0.741128i
$195$	1.71983	−	5.22770i	0.123160	−	0.374363i
$196$	1.37943	−	7.82316i	0.0985311	−	0.558797i
$197$	7.47271	+	4.31437i	0.532409	+	0.307386i	0.741997	−	0.670403i	$-0.233879\pi$
$197$	7.47271	+	4.31437i	0.532409	+	0.307386i	−0.209588	+	0.977790i	$0.567212\pi$
$198$	−13.1613	+	24.0909i	−0.935330	+	1.71207i
$199$	−2.82835	−	4.89885i	−0.200496	−	0.347270i	0.748192	−	0.663482i	$-0.230922\pi$
$199$	−2.82835	−	4.89885i	−0.200496	−	0.347270i	−0.948688	+	0.316212i	$0.897589\pi$
$200$	8.71641	−	7.91123i	0.616343	−	0.559408i
$201$	2.15337	−	1.54597i	0.151887	−	0.109045i
$202$	0.239620	+	0.285568i	0.0168596	+	0.0200925i
$203$	7.48750	+	8.92326i	0.525520	+	0.626290i
$204$	−27.3431	+	19.6304i	−1.91440	+	1.37441i
$205$	−3.15852	+	12.7762i	−0.220600	+	0.892328i
$206$	−12.5774	−	21.7847i	−0.876311	−	1.51781i
$207$	14.4808	−	0.341638i	1.00649	−	0.0237455i
$208$	−0.992212	−	0.572854i	−0.0687975	−	0.0397203i
$209$	2.25904	−	12.8117i	0.156261	−	0.886202i
$210$	25.6191	+	8.42829i	1.76788	+	0.581608i
$211$	−8.36219	−	3.04359i	−0.575677	−	0.209529i	0.0377412	−	0.999288i	$-0.487984\pi$
$211$	−8.36219	−	3.04359i	−0.575677	−	0.209529i	−0.613418	+	0.789758i	$0.710206\pi$
$212$	0.0635237	−	0.0112009i	0.00436283	−	0.000769284i
$213$	−23.3304	+	11.2160i	−1.59858	+	0.768510i
$214$	25.3564	+	21.2766i	1.73333	+	1.45444i
$215$	−16.3821	−	11.0026i	−1.11725	−	0.750370i
$216$	−8.33869	+	8.95068i	−0.567376	+	0.609016i
$217$		−	8.09681i		−	0.549647i
$218$	16.8452	−	20.0753i	1.14090	−	1.35967i
$219$	−7.11687	+	10.4235i	−0.480914	+	0.704352i
$220$	−25.3796	−	11.2394i	−1.71109	−	0.757759i
$221$	−8.51384	−	3.09879i	−0.572703	−	0.208447i
$222$	−2.37517	−	0.606493i	−0.159411	−	0.0407052i
$223$	−11.6752	−	2.05865i	−0.781828	−	0.137857i	−0.231532	−	0.972827i	$-0.574374\pi$
$223$	−11.6752	−	2.05865i	−0.781828	−	0.137857i	−0.550296	+	0.834970i	$0.685485\pi$
$224$	10.1042	−	17.5009i	0.675114	−	1.16933i
$225$	−6.67442	+	13.4332i	−0.444961	+	0.895550i
$226$	−10.5056	−	18.1962i	−0.698821	−	1.21039i
$227$	1.83504	+	5.04173i	0.121796	+	0.334632i	0.985575	−	0.169239i	$-0.0541310\pi$
$227$	1.83504	+	5.04173i	0.121796	+	0.334632i	−0.863779	+	0.503871i	$0.831909\pi$
$228$	6.94558	−	15.3654i	0.459982	−	1.01760i
$229$	−16.3024	+	13.6794i	−1.07729	+	0.903957i	−0.995693	−	0.0927078i	$-0.970448\pi$
$229$	−16.3024	+	13.6794i	−1.07729	+	0.903957i	−0.0816010	+	0.996665i	$0.526003\pi$
$230$	2.58343	+	24.1187i	0.170346	+	1.59034i
$231$	−2.16234	−	21.7570i	−0.142271	−	1.43151i
$232$	−3.02618	−	8.31437i	−0.198679	−	0.545865i
$233$	11.8157	−	6.82178i	0.774070	−	0.446910i	−0.0602544	−	0.998183i	$-0.519191\pi$
$233$	11.8157	−	6.82178i	0.774070	−	0.446910i	0.834325	+	0.551273i	$0.185858\pi$
$234$	−9.46866	−	1.44020i	−0.618985	−	0.0941488i
$235$	16.7908	−	8.23075i	1.09531	−	0.536915i
$236$	0.717210	−	4.06750i	0.0466864	−	0.264772i
$237$	−0.198402	+	0.203138i	−0.0128876	+	0.0131952i
$238$	15.1860	−	41.7233i	0.984365	−	2.70452i
$239$	−0.995338	−	5.64484i	−0.0643831	−	0.365135i	−0.999929	−	0.0119291i	$-0.996203\pi$
$239$	−0.995338	−	5.64484i	−0.0643831	−	0.365135i	0.935546	−	0.353205i	$-0.114908\pi$
$240$	2.45370	+	1.93159i	0.158385	+	0.124684i
$241$	0.0608128	+	0.0510280i	0.00391730	+	0.00328700i	0.644744	−	0.764398i	$-0.276964\pi$
$241$	0.0608128	+	0.0510280i	0.00391730	+	0.00328700i	−0.640827	+	0.767685i	$0.721408\pi$
$242$			12.5541i			0.807008i
$243$	5.74387	−	14.4917i	0.368470	−	0.929640i
$244$	−8.64660			−0.553542
$245$	−5.59906	+	1.61755i	−0.357711	+	0.103341i
$246$	22.8388	+	1.72698i	1.45615	+	0.110108i
$247$	4.46985	−	0.788156i	0.284410	−	0.0501492i
$248$	−2.10349	+	5.77929i	−0.133572	+	0.366985i
$249$	−4.38292	−	4.28074i	−0.277756	−	0.271281i
$250$	−23.3459	−	9.27090i	−1.47653	−	0.586343i
$251$	0.946229	−	1.63892i	0.0597255	−	0.103448i	−0.834617	−	0.550831i	$-0.814311\pi$
$251$	0.946229	−	1.63892i	0.0597255	−	0.103448i	0.894342	+	0.447384i	$0.147644\pi$
$252$	4.26151	−	28.0175i	0.268450	−	1.76493i
$253$	17.0301	−	9.83231i	1.07067	−	0.618152i
$254$	24.4084	−	8.88394i	1.53152	−	0.557428i
$255$	21.7615	+	11.6735i	1.36276	+	0.731023i
$256$	−7.99364	+	6.70746i	−0.499602	+	0.419216i
$257$	−6.36138	−	7.58119i	−0.396812	−	0.472902i	0.530233	−	0.847852i	$-0.322104\pi$
$257$	−6.36138	−	7.58119i	−0.396812	−	0.472902i	−0.927045	+	0.374950i	$0.877660\pi$
$258$	−14.1461	+	31.2948i	−0.880696	+	1.94833i
$259$	1.83469	−	0.667771i	0.114002	−	0.0414933i
$260$	0.656336	−	9.66183i	0.0407042	−	0.599201i
$261$	7.44903	+	8.46370i	0.461083	+	0.523890i
$262$	−7.97938	−	4.60690i	−0.492968	−	0.284615i
$263$	−12.3333	−	2.17469i	−0.760503	−	0.134097i	−0.220070	−	0.975484i	$-0.570629\pi$
$263$	−12.3333	−	2.17469i	−0.760503	−	0.134097i	−0.540433	+	0.841387i	$0.681740\pi$
$264$	−4.10888	+	16.0913i	−0.252884	+	0.990352i
$265$	−0.0278920	−	0.0382300i	−0.00171339	−	0.00234845i
$266$	3.86247	+	21.9052i	0.236823	+	1.34309i
$267$	21.7674	+	14.8622i	1.33215	+	0.909554i
$268$	2.99839	−	3.57334i	0.183156	−	0.218276i
$269$	−12.2764			−0.748505			−0.374253	−	0.927327i	$-0.622101\pi$
$269$	−12.2764			−0.748505			−0.374253	+	0.927327i	$0.622101\pi$
$270$	24.9829	+	7.57082i	1.52041	+	0.460745i
$271$	22.6640			1.37674			0.688369	−	0.725360i	$-0.258327\pi$
$271$	22.6640			1.37674			0.688369	+	0.725360i	$0.258327\pi$
$272$	3.30462	−	3.93829i	0.200372	−	0.238794i
$273$	6.87497	−	3.30512i	0.416092	−	0.200035i
$274$	1.51757	+	8.60658i	0.0916799	+	0.519943i
$275$	0.791548	+	20.3486i	0.0477321	+	1.22707i
$276$	24.5407	−	6.88686i	1.47717	−	0.414541i
$277$	16.7823	+	2.95917i	1.00835	+	0.177799i	0.653340	−	0.757064i	$-0.273367\pi$
$277$	16.7823	+	2.95917i	1.00835	+	0.177799i	0.355008	+	0.934863i	$0.384478\pi$
$278$	22.6278	+	13.0642i	1.35713	+	0.783538i
$279$	−0.184845	−	7.83492i	−0.0110664	−	0.469065i
$280$	16.2787	+	1.10582i	0.972837	+	0.0660856i
$281$	−14.6357	+	5.32695i	−0.873092	+	0.317779i	−0.739419	−	0.673246i	$-0.764899\pi$
$281$	−14.6357	+	5.32695i	−0.873092	+	0.317779i	−0.133673	+	0.991025i	$0.542677\pi$
$282$	−18.9792	−	26.4359i	−1.13019	−	1.57424i
$283$	0.444412	+	0.529629i	0.0264175	+	0.0314832i	0.779091	−	0.626910i	$-0.215681\pi$
$283$	0.444412	+	0.529629i	0.0264175	+	0.0314832i	−0.752674	+	0.658393i	$0.771236\pi$
$284$	−34.8948	+	29.2802i	−2.07062	+	1.73746i
$285$	−12.3650	+	0.386334i	−0.732442	+	0.0228845i
$286$	−12.2183	+	4.44711i	−0.722486	+	0.262963i
$287$	−15.7982	+	9.12111i	−0.932540	+	0.538402i
$288$	9.37782	−	17.1656i	0.552594	−	1.01149i
$289$	11.8278	−	20.4863i	0.695750	−	1.20507i
$290$	−13.0889	+	13.6080i	−0.768608	+	0.799088i
$291$	−22.4021	+	6.28671i	−1.31323	+	0.368534i
$292$	−7.59611	+	20.8701i	−0.444528	+	1.22133i
$293$	−12.5882	+	2.21964i	−0.735412	+	0.129673i	−0.528796	−	0.848749i	$-0.677356\pi$
$293$	−12.5882	+	2.21964i	−0.735412	+	0.129673i	−0.206616	+	0.978422i	$0.566245\pi$
$294$	4.39458	+	9.14116i	0.256297	+	0.533123i
$295$	−2.91112	+	0.841012i	−0.169492	+	0.0489656i
$296$	−1.48303			−0.0861994
$297$	−2.58909	−	21.0039i	−0.150234	−	1.21877i
$298$			34.7499i			2.01301i
$299$	5.25566	+	4.41002i	0.303942	+	0.255038i
$300$	−5.53139	+	25.8091i	−0.319355	+	1.49009i
$301$	−4.74985	−	26.9377i	−0.273777	−	1.55267i
$302$	−1.43929	+	3.95443i	−0.0828220	+	0.227552i
$303$	−0.278449	−	0.0711014i	−0.0159965	−	0.00408467i
$304$	−0.447225	+	2.53634i	−0.0256501	+	0.145469i
$305$	2.79218	+	5.69606i	0.159879	+	0.326155i
$306$	13.7423	−	40.7205i	0.785597	−	2.32783i
$307$	−9.19113	+	5.30650i	−0.524565	+	0.302858i	−0.738801	−	0.673924i	$-0.764607\pi$
$307$	−9.19113	+	5.30650i	−0.524565	+	0.302858i	0.214235	+	0.976782i	$0.431274\pi$
$308$	−13.1589	−	36.1537i	−0.749796	−	2.06005i
$309$	17.6708	+	7.98768i	1.00526	+	0.454403i
$310$	13.0495	−	1.39778i	0.741165	−	0.0793885i
$311$	−13.0581	+	10.9571i	−0.740459	+	0.621319i	−0.932961	−	0.359978i	$-0.882784\pi$
$311$	−13.0581	+	10.9571i	−0.740459	+	0.621319i	0.192502	+	0.981297i	$0.438340\pi$
$312$	−5.76581	+	0.573040i	−0.326425	+	0.0324420i
$313$	0.206883	+	0.568405i	0.0116937	+	0.0321282i	0.945402	−	0.325906i	$-0.105669\pi$
$313$	0.206883	+	0.568405i	0.0116937	+	0.0321282i	−0.933708	+	0.358034i	$0.883447\pi$
$314$	−14.9988	−	25.9787i	−0.846432	−	1.46606i
$315$	−19.8330	+	6.24012i	−1.11746	+	0.351591i
$316$	−0.249832	+	0.432722i	−0.0140541	+	0.0243425i
$317$	12.4805	+	2.20064i	0.700972	+	0.123600i	0.512765	−	0.858529i	$-0.328621\pi$
$317$	12.4805	+	2.20064i	0.700972	+	0.123600i	0.188207	+	0.982129i	$0.439732\pi$
$318$	−0.0575448	+	0.0589185i	−0.00322695	+	0.00330398i
$319$	14.3836	+	5.23521i	0.805328	+	0.293116i
$320$	26.6534	+	11.8035i	1.48997	+	0.659834i
$321$	−25.4451	−	1.92406i	−1.42020	−	0.107390i
$322$	−21.6119	+	25.7561i	−1.20439	+	1.43533i
$323$			20.3667i			1.13324i
$324$	3.48405	−	27.2085i	0.193558	−	1.51158i
$325$	−6.57680	+	2.68765i	−0.364815	+	0.149084i
$326$	−6.64039	−	5.57195i	−0.367777	−	0.308602i
$327$	−1.52332	+	20.1455i	−0.0842399	+	1.11405i
$328$	13.6459	−	2.40615i	0.753471	−	0.132857i
$329$	24.3564	+	8.86501i	1.34281	+	0.488744i
$330$	34.6922	−	7.24100i	1.90974	−	0.398604i
$331$	0.660144	−	3.74386i	0.0362848	−	0.205781i	−0.961276	−	0.275588i	$-0.911127\pi$
$331$	0.660144	−	3.74386i	0.0362848	−	0.205781i	0.997560	+	0.0698073i	$0.0222384\pi$
$332$	−9.33642	−	5.39039i	−0.512403	−	0.295836i
$333$	1.76010	−	0.688057i	0.0964528	−	0.0377053i
$334$	12.8388	+	22.2375i	0.702510	+	1.21678i
$335$	−3.32223	−	0.821318i	−0.181513	−	0.0448734i
$336$	0.428079	+	4.30725i	0.0233536	+	0.234980i
$337$	−11.5608	−	13.7777i	−0.629759	−	0.750517i	0.352957	−	0.935640i	$-0.385176\pi$
$337$	−11.5608	−	13.7777i	−0.629759	−	0.750517i	−0.982715	+	0.185122i	$0.940732\pi$
$338$	15.8584	+	18.8993i	0.862581	+	1.02798i
$339$	14.7599	+	6.67189i	0.801650	+	0.362368i
$340$	42.1849	+	10.4289i	2.28780	+	0.565587i
$341$	−5.31982	−	9.21420i	−0.288085	−	0.498977i
$342$	4.23762	+	21.1085i	0.229144	+	1.14141i
$343$	11.7932	+	6.80883i	0.636776	+	0.367643i
$344$	−3.60790	+	20.4614i	−0.194525	+	1.10321i
$345$	−12.4615	−	13.9426i	−0.670906	−	0.750643i
$346$	−19.4581	−	7.08216i	−1.04607	−	0.380739i
$347$	−24.7468	+	4.36354i	−1.32848	+	0.234247i	−0.792442	−	0.609947i	$-0.791191\pi$
$347$	−24.7468	+	4.36354i	−1.32848	+	0.234247i	−0.536038	+	0.844194i	$0.680080\pi$
$348$	16.3852	+	11.1874i	0.878337	+	0.599706i
$349$	−7.80720	−	6.55102i	−0.417910	−	0.350668i	0.409458	−	0.912329i	$-0.365718\pi$
$349$	−7.80720	−	6.55102i	−0.417910	−	0.350668i	−0.827367	+	0.561661i	$0.810162\pi$
$350$	−13.1712	−	32.2306i	−0.704030	−	1.72280i
$351$	6.57715	−	3.35516i	0.351062	−	0.179085i
$352$		−	26.5549i		−	1.41538i
$353$	−7.78298	+	9.27539i	−0.414246	+	0.493679i	−0.932309	−	0.361663i	$-0.882209\pi$
$353$	−7.78298	+	9.27539i	−0.414246	+	0.493679i	0.518063	+	0.855343i	$0.326653\pi$
$354$	2.28487	+	4.75276i	0.121440	+	0.252606i
$355$	30.5570	+	13.5322i	1.62180	+	0.718213i
$356$	43.5833	+	15.8630i	2.30991	+	0.840739i
$357$	9.24856	+	32.9563i	0.489486	+	1.74423i
$358$	−43.0119	−	7.58416i	−2.27325	−	0.400835i
$359$	2.90522	−	5.03199i	0.153332	−	0.265578i	−0.779119	−	0.626876i	$-0.784333\pi$
$359$	2.90522	−	5.03199i	0.153332	−	0.265578i	0.932450	+	0.361298i	$0.117666\pi$
$360$	15.7774	+	0.698424i	0.831542	+	0.0368102i
$361$	4.39855	+	7.61852i	0.231503	+	0.400975i
$362$	−17.6111	−	48.3860i	−0.925617	−	2.54311i
$363$	−5.64428	−	7.86186i	−0.296248	−	0.412641i
$364$	10.2827	−	8.62823i	0.538961	−	0.452242i
$365$	16.2014	−	1.73539i	0.848021	−	0.0908342i
$366$	8.96805	−	6.43844i	0.468767	−	0.336543i
$367$	−9.29149	−	25.5282i	−0.485012	−	1.33256i	−0.905147	−	0.425098i	$-0.860240\pi$
$367$	−9.29149	−	25.5282i	−0.485012	−	1.33256i	0.420135	−	0.907461i	$-0.361983\pi$
$368$	−3.37145	+	1.94651i	−0.175749	+	0.101469i
$369$	−15.0790	+	9.18675i	−0.784982	+	0.478243i
$370$	1.39297	+	2.84166i	0.0724169	+	0.147731i
$371$	0.0113904	−	0.0645983i	0.000591362	−	0.00335378i
$372$	−3.72617	−	13.2779i	−0.193193	−	0.688425i
$373$	1.43371	−	3.93908i	0.0742346	−	0.203958i	−0.897025	−	0.441979i	$-0.854277\pi$
$373$	1.43371	−	3.93908i	0.0742346	−	0.203958i	0.971260	+	0.238021i	$0.0764988\pi$
$374$	−10.1316	−	57.4589i	−0.523890	−	2.97113i
$375$	18.7883	−	4.69044i	0.970223	−	0.242213i
$376$	−15.0819	−	12.6552i	−0.777789	−	0.652643i
$377$			5.34035i			0.275042i
$378$	16.4425	+	32.2323i	0.845709	+	1.65785i
$379$	28.2695			1.45211			0.726053	−	0.687638i	$-0.241353\pi$
$379$	28.2695			1.45211			0.726053	+	0.687638i	$0.241353\pi$
$380$	−20.9139	+	6.04194i	−1.07286	+	0.309945i
$381$	−11.2913	+	16.5374i	−0.578471	+	0.847237i
$382$	−51.6480	+	9.10694i	−2.64254	+	0.465952i
$383$	8.69809	−	23.8978i	0.444452	−	1.22112i	−0.492084	−	0.870548i	$-0.663765\pi$
$383$	8.69809	−	23.8978i	0.444452	−	1.22112i	0.936535	−	0.350573i	$-0.114013\pi$
$384$	6.96315	−	27.2693i	0.355337	−	1.39158i
$385$	−19.5674	+	20.3434i	−0.997248	+	1.03680i
$386$	−15.0948	+	26.1449i	−0.768304	+	1.33074i
$387$	−5.21119	−	25.9580i	−0.264900	−	1.31952i
$388$	−35.4580	+	20.4717i	−1.80011	+	1.03929i
$389$	−13.3674	+	4.86533i	−0.677753	+	0.246682i	−0.657883	−	0.753121i	$-0.728548\pi$
$389$	−13.3674	+	4.86533i	−0.677753	+	0.246682i	−0.0198708	+	0.999803i	$0.506325\pi$
$390$	6.51367	+	10.5097i	0.329833	+	0.532182i
$391$	−23.5834	+	19.7888i	−1.19266	+	1.00076i
$392$	3.94420	+	4.70051i	0.199212	+	0.237412i
$393$	7.06824	−	0.702483i	0.356546	−	0.0354356i
$394$	−18.2174	+	6.63060i	−0.917780	+	0.334045i
$395$	0.365737	+	0.0248448i	0.0184022	+	0.00125008i
$396$	−13.5586	−	34.6839i	−0.681346	−	1.74293i
$397$	14.9271	+	8.61817i	0.749170	+	0.432534i	0.825394	−	0.564557i	$-0.190953\pi$
$397$	14.9271	+	8.61817i	0.749170	+	0.432534i	−0.0762236	+	0.997091i	$0.524286\pi$
$398$	12.5161	+	2.20692i	0.627374	+	0.110623i
$399$	−12.2673	−	11.9813i	−0.614134	−	0.599816i
$400$	−0.156703	−	4.02843i	−0.00783517	−	0.201421i
$401$	−4.14546	−	23.5101i	−0.207014	−	1.17404i	−0.894239	−	0.447591i	$-0.852282\pi$
$401$	−4.14546	−	23.5101i	−0.207014	−	1.17404i	0.687224	−	0.726445i	$-0.258829\pi$
$402$	−0.449072	+	5.93884i	−0.0223977	+	0.296203i
$403$	2.38606	−	2.84360i	0.118858	−	0.141650i
$404$	−0.505703			−0.0251597
$405$	−19.0490	+	6.49106i	−0.946555	+	0.322544i
$406$	−26.1711			−1.29885
$407$	1.64914	−	1.96536i	0.0817447	−	0.0974195i
$408$	1.96043	−	25.9260i	0.0970555	−	1.28353i
$409$	−4.34439	−	24.6383i	−0.214816	−	1.21828i	−0.881225	−	0.472698i	$-0.843280\pi$
$409$	−4.34439	−	24.6383i	−0.214816	−	1.21828i	0.666408	−	0.745587i	$-0.267831\pi$
$410$	−17.4277	−	23.8872i	−0.860693	−	1.17971i
$411$	−4.81985	−	4.70748i	−0.237746	−	0.232203i
$412$	33.6058	+	5.92561i	1.65564	+	0.291934i
$413$	−3.63741	−	2.10006i	−0.178985	−	0.103337i
$414$	−20.3249	+	25.4164i	−0.998914	+	1.24915i
$415$	−0.536053	+	7.89116i	−0.0263138	+	0.387362i
$416$	8.70597	−	3.16871i	0.426845	−	0.155359i
$417$	−20.0440	+	1.99209i	−0.981561	+	0.0975532i
$418$	18.7878	+	22.3904i	0.918940	+	1.09515i
$419$	−31.2600	+	26.2302i	−1.52715	+	1.28143i	−0.711996	+	0.702183i	$0.752209\pi$
$419$	−31.2600	+	26.2302i	−1.52715	+	1.28143i	−0.815152	+	0.579247i	$0.803347\pi$
$420$	−31.0980	+	19.2737i	−1.51743	+	0.940463i
$421$	31.2501	−	11.3741i	1.52304	−	0.554341i	0.561133	−	0.827725i	$-0.310365\pi$
$421$	31.2501	−	11.3741i	1.52304	−	0.554341i	0.961905	+	0.273385i	$0.0881433\pi$
$422$	17.3148	−	9.99672i	0.842873	−	0.486633i
$423$	23.7710	+	8.02224i	1.15579	+	0.390054i
$424$	−0.0249123	+	0.0431494i	−0.00120985	+	0.00209552i
$425$	−6.75225	−	31.1576i	−0.327532	−	1.51136i
$426$	14.3894	−	56.3521i	0.697167	−	2.73027i
$427$	−3.00734	+	8.26260i	−0.145535	+	0.399855i
$428$	−44.2208	+	7.79732i	−2.13749	+	0.376898i
$429$	5.65219	−	8.27828i	0.272890	−	0.399679i
$430$	42.5953	−	12.3056i	2.05413	−	0.593430i
$431$	30.6282			1.47531			0.737655	−	0.675178i	$-0.235933\pi$
$431$	30.6282			1.47531			0.737655	+	0.675178i	$0.235933\pi$
$432$	0.512565	+	4.15816i	0.0246608	+	0.200059i
$433$			18.8590i			0.906306i	0.891433	+	0.453153i	$0.149701\pi$
$433$			18.8590i			0.906306i	−0.891433	+	0.453153i	$0.850299\pi$
$434$	13.9355	+	11.6932i	0.668924	+	0.561294i
$435$	2.07870	−	14.4066i	0.0996659	−	0.690743i
$436$	6.17333	+	35.0107i	0.295649	+	1.67671i
$437$	5.27480	−	14.4924i	0.252328	−	0.693265i
$438$	−7.66184	−	27.3022i	−0.366097	−	1.30455i
$439$	1.35713	−	7.69667i	0.0647723	−	0.367342i	−0.935142	−	0.354272i	$-0.884729\pi$
$439$	1.35713	−	7.69667i	0.0647723	−	0.367342i	0.999915	−	0.0130696i	$-0.00416029\pi$
$440$	19.2518	−	9.43710i	0.917791	−	0.449896i
$441$	−6.86189	−	3.74876i	−0.326757	−	0.178512i
$442$	17.6288	−	10.1780i	0.838519	−	0.484119i
$443$	−1.62187	−	4.45605i	−0.0770574	−	0.211713i	0.895183	−	0.445700i	$-0.147045\pi$
$443$	−1.62187	−	4.45605i	−0.0770574	−	0.211713i	−0.972240	+	0.233986i	$0.924823\pi$
$444$	2.70137	−	1.93940i	0.128201	−	0.0920397i
$445$	−3.62402	−	33.8336i	−0.171795	−	1.60387i
$446$	20.4042	−	17.1211i	0.966166	−	0.810710i
$447$	−15.6234	−	21.7617i	−0.738963	−	1.02929i
$448$	13.8193	+	37.9682i	0.652900	+	1.79383i
$449$	4.94736	+	8.56908i	0.233480	+	0.404400i	0.958830	−	0.283981i	$-0.0916552\pi$
$449$	4.94736	+	8.56908i	0.233480	+	0.404400i	−0.725350	+	0.688381i	$0.758322\pi$
$450$	−13.4810	−	30.8874i	−0.635499	−	1.45605i
$451$	−11.9856	+	20.7597i	−0.564381	+	0.977537i
$452$	28.0700	+	4.94950i	1.32030	+	0.232805i
$453$	−0.876554	−	3.12352i	−0.0411841	−	0.146756i
$454$	−11.3275	−	4.12287i	−0.531625	−	0.193496i
$455$	−9.00447	−	3.98763i	−0.422136	−	0.186943i
$456$	5.64342	+	11.7389i	0.264278	+	0.549724i
$457$	9.38146	−	11.1804i	0.438846	−	0.522997i	−0.500607	−	0.865675i	$-0.666890\pi$
$457$	9.38146	−	11.1804i	0.438846	−	0.522997i	0.939453	+	0.342678i	$0.111334\pi$
$458$		−	47.8136i		−	2.23418i
$459$	9.70179	+	31.6792i	0.452841	+	1.47866i
$460$	−27.3166	−	18.3464i	−1.27364	−	0.855407i
$461$	7.00917	+	5.88140i	0.326450	+	0.273924i	0.791251	−	0.611491i	$-0.209430\pi$
$461$	7.00917	+	5.88140i	0.326450	+	0.273924i	−0.464802	+	0.885415i	$0.653874\pi$
$462$	40.5689	+	27.6994i	1.88743	+	1.28869i
$463$	−1.86266	+	0.328437i	−0.0865650	+	0.0152637i	−0.216763	−	0.976224i	$-0.569550\pi$
$463$	−1.86266	+	0.328437i	−0.0865650	+	0.0152637i	0.130198	+	0.991488i	$0.458439\pi$
$464$	−2.84754	−	1.03642i	−0.132194	−	0.0481145i
$465$	−7.54370	+	6.74237i	−0.349831	+	0.312670i
$466$	−5.32294	+	30.1879i	−0.246580	+	1.39843i
$467$	−29.8147	−	17.2135i	−1.37966	−	0.796547i	−0.387541	−	0.921853i	$-0.626675\pi$
$467$	−29.8147	−	17.2135i	−1.37966	−	0.796547i	−0.992118	+	0.125306i	$0.960009\pi$
$468$	9.75315	−	8.58390i	0.450840	−	0.396791i
$469$	−2.37179	−	4.10806i	−0.109519	−	0.189692i
$470$	−10.0829	+	40.7854i	−0.465090	+	1.88129i
$471$	21.0728	+	9.52547i	0.970982	+	0.438910i
$472$	2.05071	+	2.44394i	0.0943914	+	0.112491i
$473$	−23.1042	−	27.5345i	−1.06233	−	1.26604i
$474$	−0.0630940	−	0.634839i	−0.00289800	−	0.0291591i
$475$	10.7337	+	11.8262i	0.492498	+	0.542623i
$476$	30.1164	+	52.1632i	1.38038	+	2.39090i
$477$	0.00954727	−	0.0627690i	0.000437140	−	0.00287399i
$478$	11.1528	+	6.43908i	0.510118	+	0.294517i
$479$	1.01845	−	5.77590i	0.0465340	−	0.263908i	−0.952660	−	0.304036i	$-0.901666\pi$
$479$	1.01845	−	5.77590i	0.0465340	−	0.263908i	0.999195	+	0.0401285i	$0.0127767\pi$
$480$	−24.7194	+	5.15945i	−1.12828	+	0.235495i
$481$	0.841128	+	0.306146i	0.0383521	+	0.0139590i
$482$	−0.175649	+	0.0309717i	−0.00800060	+	0.00141072i
$483$	1.95438	−	25.8461i	0.0889274	−	1.17604i
$484$	−13.0461	−	10.9470i	−0.593004	−	0.497589i
$485$	24.9361	+	16.7477i	1.13229	+	0.760472i
$486$	16.6465	+	30.8143i	0.755099	+	1.39777i
$487$			14.2308i			0.644861i	0.946593	+	0.322430i	$0.104500\pi$
$487$			14.2308i			0.644861i	−0.946593	+	0.322430i	$0.895500\pi$
$488$	4.29312	−	5.11634i	0.194340	−	0.231606i
$489$	6.66360	+	0.503875i	0.301338	+	0.0227860i
$490$	5.30207	−	11.9726i	0.239523	−	0.540867i
$491$	0.392986	+	0.143035i	0.0177352	+	0.00645508i	0.350873	−	0.936423i	$-0.385885\pi$
$491$	0.392986	+	0.143035i	0.0177352	+	0.00645508i	−0.333137	+	0.942878i	$0.608107\pi$
$492$	−21.7097	+	22.2280i	−0.978751	+	1.00211i
$493$	−23.5994	−	4.16121i	−1.06286	−	0.187411i
$494$	−5.09877	+	8.83133i	−0.229404	+	0.397340i
$495$	−18.4701	+	20.1321i	−0.830169	+	0.904870i
$496$	1.05317	+	1.82414i	0.0472887	+	0.0819064i
$497$	15.8432	+	43.5289i	0.710666	+	1.95254i
$498$	13.6973	−	1.36132i	0.613791	−	0.0610021i
$499$	6.02202	−	5.05307i	0.269582	−	0.226207i	−0.497967	−	0.867196i	$-0.665920\pi$
$499$	6.02202	−	5.05307i	0.269582	−	0.226207i	0.767550	+	0.640989i	$0.221476\pi$
$500$	29.9915	−	16.1768i	1.34126	−	0.723447i
$501$	−18.0381	−	8.15371i	−0.805883	−	0.364281i
$502$	1.45422	+	3.99545i	0.0649052	+	0.178326i
$503$	−2.89014	+	1.66862i	−0.128865	+	0.0744002i	−0.563047	−	0.826425i	$-0.690371\pi$
$503$	−2.89014	+	1.66862i	−0.128865	+	0.0744002i	0.434182	+	0.900825i	$0.357038\pi$
$504$	14.4625	+	16.4325i	0.644212	+	0.731963i
$505$	0.163303	+	0.333139i	0.00726687	+	0.0148245i
$506$	−7.67201	+	43.5101i	−0.341063	+	1.93426i
$507$	−18.4282	−	4.70559i	−0.818423	−	0.208982i
$508$	−12.0516	+	33.1116i	−0.534705	+	1.46909i
$509$	0.111584	+	0.632826i	0.00494588	+	0.0280495i	0.987181	−	0.159606i	$-0.0510223\pi$
$509$	0.111584	+	0.632826i	0.00494588	+	0.0280495i	−0.982235	+	0.187655i	$0.939911\pi$
$510$	−51.5188	+	20.5952i	−2.28129	+	0.911969i
$511$	17.3013	+	14.5175i	0.765365	+	0.642217i
$512$			9.05354i			0.400114i
$513$	−12.1440	−	11.3137i	−0.536173	−	0.499513i
$514$	22.2350			0.980743
$515$	−6.94847	−	24.0518i	−0.306186	−	1.05985i
$516$	−20.1860	−	41.9890i	−0.888641	−	1.84846i
$517$	33.5423	−	5.91440i	1.47519	−	0.260115i
$518$	−1.50031	+	4.12207i	−0.0659198	+	0.181113i
$519$	15.3695	−	4.31316i	0.674647	−	0.189327i
$520$	5.39119	+	5.18556i	0.236419	+	0.227402i
$521$	4.47458	−	7.75020i	0.196035	−	0.339542i	−0.751204	−	0.660070i	$-0.770527\pi$
$521$	4.47458	−	7.75020i	0.196035	−	0.339542i	0.947239	+	0.320527i	$0.103860\pi$
$522$	−25.3246	+	0.597470i	−1.10843	+	0.0261505i
$523$	17.5015	−	10.1045i	0.765286	−	0.441838i	−0.0659047	−	0.997826i	$-0.520993\pi$
$523$	17.5015	−	10.1045i	0.765286	−	0.441838i	0.831190	+	0.555988i	$0.187660\pi$
$524$	11.7453	−	4.27495i	0.513097	−	0.186752i
$525$	22.7391	+	14.2623i	0.992414	+	0.622458i
$526$	21.5543	−	18.0862i	0.939814	−	0.788598i
$527$	10.7068	+	12.7599i	0.466397	+	0.555831i
$528$	3.31713	+	4.62041i	0.144360	+	0.201077i
$529$	0.293486	−	0.106820i	0.0127603	−	0.00464436i
$530$	0.106079	+	0.00720602i	0.00460777	+	0.000313009i
$531$	−3.56770	−	1.94909i	−0.154825	−	0.0845835i
$532$	−26.1316	−	15.0871i	−1.13295	−	0.654109i
$533$	−8.23625	−	1.45227i	−0.356752	−	0.0629049i
$534$	−57.0155	+	16.0003i	−2.46730	+	0.692401i
$535$	19.4164	+	26.6131i	0.839446	+	1.15058i
$536$	0.625677	+	3.54839i	0.0270251	+	0.153267i
$537$	30.3455	−	14.5885i	1.30951	−	0.629540i
$538$	17.7293	−	21.1290i	0.764365	−	0.910935i
$539$	−10.6152			−0.457231
$540$	−29.6521	+	19.3603i	−1.27603	+	0.833134i
$541$	−40.3613			−1.73527			−0.867635	−	0.497202i	$-0.834361\pi$
$541$	−40.3613			−1.73527			−0.867635	+	0.497202i	$0.834361\pi$
$542$	−32.7308	+	39.0071i	−1.40591	+	1.67550i
$543$	32.7829	+	22.3833i	1.40685	+	0.960560i
$544$	7.21907	+	40.9414i	0.309515	+	1.75535i
$545$	21.0702	−	15.3725i	0.902550	−	0.658485i
$546$	−4.24023	+	16.6057i	−0.181465	+	0.710659i
$547$	12.6486	+	2.23029i	0.540814	+	0.0953601i	0.437381	−	0.899276i	$-0.355906\pi$
$547$	12.6486	+	2.23029i	0.540814	+	0.0953601i	0.103433	+	0.994636i	$0.467017\pi$
$548$	−10.2672	−	5.92775i	−0.438592	−	0.253221i
$549$	−2.72144	+	8.06401i	−0.116148	+	0.344163i
$550$	−36.1652	−	28.0247i	−1.54209	−	1.19498i
$551$	11.2807	−	4.10585i	0.480575	−	0.174915i
$552$	−8.10960	+	17.9405i	−0.345167	+	0.763599i
$553$	0.326611	+	0.389240i	0.0138889	+	0.0165522i
$554$	−29.3296	+	24.6105i	−1.24610	+	1.04560i
$555$	−2.14993	−	1.15329i	−0.0912596	−	0.0489543i
$556$	−33.3073	+	12.1229i	−1.41254	+	0.514124i
$557$	−2.97668	+	1.71859i	−0.126126	+	0.0728190i	−0.561736	−	0.827317i	$-0.689866\pi$
$557$	−2.97668	+	1.71859i	−0.126126	+	0.0728190i	0.435610	+	0.900136i	$0.356533\pi$
$558$	13.7517	+	10.9969i	0.582155	+	0.465535i
$559$	6.27018	−	10.8603i	0.265200	−	0.459341i
$560$	3.87378	−	4.02739i	0.163697	−	0.170189i
$561$	32.1781	+	31.4279i	1.35856	+	1.32689i
$562$	11.9683	−	32.8826i	0.504852	−	1.38707i
$563$	9.46695	−	1.66928i	0.398984	−	0.0703517i	0.0294440	−	0.999566i	$-0.490626\pi$
$563$	9.46695	−	1.66928i	0.398984	−	0.0703517i	0.369540	+	0.929215i	$0.379515\pi$
$564$	44.0215	+	3.32873i	1.85364	+	0.140165i
$565$	−5.80387	−	20.0898i	−0.244170	−	0.845183i
$566$	−1.55336			−0.0652925
$567$	−24.7884	−	12.7926i	−1.04102	−	0.537239i
$568$		−	35.1857i		−	1.47636i
$569$	−1.07284	−	0.900223i	−0.0449760	−	0.0377393i	0.620023	−	0.784584i	$-0.287123\pi$
$569$	−1.07284	−	0.900223i	−0.0449760	−	0.0377393i	−0.664999	+	0.746845i	$0.731568\pi$
$570$	17.1924	−	21.8395i	0.720110	−	0.914755i
$571$	−1.48813	−	8.43959i	−0.0622762	−	0.353186i	−0.999983	−	0.00575942i	$-0.998167\pi$
$571$	−1.48813	−	8.43959i	−0.0622762	−	0.353186i	0.937707	−	0.347427i	$-0.112944\pi$
$572$	6.03280	−	16.5750i	0.252244	−	0.693035i
$573$	28.2495	−	28.9239i	1.18014	−	1.20831i
$574$	7.11707	−	40.3629i	0.297061	−	1.68472i
$575$	−3.26482	+	23.9196i	−0.136153	+	0.997518i
$576$	14.2391	+	36.4246i	0.593296	+	1.51769i
$577$	−22.7988	+	13.1629i	−0.949126	+	0.547978i	−0.892809	−	0.450435i	$-0.851269\pi$
$577$	−22.7988	+	13.1629i	−0.949126	+	0.547978i	−0.0563164	+	0.998413i	$0.517936\pi$
$578$	18.1776	+	49.9426i	0.756090	+	2.07734i
$579$	−2.30173	−	23.1595i	−0.0956566	−	0.962477i
$580$	−2.72794	−	25.4678i	−0.113271	−	1.05749i
$581$	−8.39826	+	7.04698i	−0.348419	+	0.292358i
$582$	21.5325	−	47.6355i	0.892552	−	1.97455i
$583$	−0.0294805	−	0.0809970i	−0.00122096	−	0.00335455i
$584$	−8.57767	−	14.8570i	−0.354946	−	0.614785i
$585$	−8.80426	−	3.65309i	−0.364011	−	0.151037i
$586$	14.3594	−	24.8712i	0.593182	−	1.02742i
$587$	12.4206	+	2.19008i	0.512652	+	0.0903944i	0.423989	−	0.905667i	$-0.360629\pi$
$587$	12.4206	+	2.19008i	0.512652	+	0.0903944i	0.0886631	+	0.996062i	$0.471741\pi$
$588$	−13.3314	−	3.40414i	−0.549777	−	0.140384i
$589$	−7.84119	−	2.85396i	−0.323091	−	0.117595i
$590$	2.75671	−	6.22491i	0.113492	−	0.256276i
$591$	8.42736	−	12.3428i	0.346655	−	0.507716i
$592$	−0.326481	+	0.389085i	−0.0134183	+	0.0159913i
$593$			18.5207i			0.760554i	0.924873	+	0.380277i	$0.124171\pi$
$593$			18.5207i			0.760554i	−0.924873	+	0.380277i	$0.875829\pi$
$594$	39.8890	+	25.8773i	1.63667	+	1.06176i
$595$	24.6379	−	36.6842i	1.01006	−	1.50391i
$596$	−36.1117	−	30.3013i	−1.47919	−	1.24119i
$597$	−8.83027	+	4.24512i	−0.361399	+	0.173741i
$598$	−15.1802	+	2.67668i	−0.620765	+	0.109458i
$599$	−27.8910	−	10.1515i	−1.13959	−	0.414778i	−0.297827	−	0.954620i	$-0.596262\pi$
$599$	−27.8910	−	10.1515i	−1.13959	−	0.414778i	−0.841766	+	0.539842i	$0.818484\pi$
$600$	−12.5253	−	16.0875i	−0.511343	−	0.656769i
$601$	−4.51681	+	25.6161i	−0.184245	+	1.04490i	0.742677	+	0.669649i	$0.233556\pi$
$601$	−4.51681	+	25.6161i	−0.184245	+	1.04490i	−0.926922	+	0.375254i	$0.877556\pi$
$602$	53.2223	+	30.7279i	2.16918	+	1.25238i
$603$	−2.38886	−	3.92104i	−0.0972818	−	0.159677i
$604$	−2.85436	−	4.94389i	−0.116142	−	0.201164i
$605$	−2.99859	+	12.1293i	−0.121910	+	0.493126i
$606$	0.524504	−	0.376558i	0.0213065	−	0.0152966i
$607$	11.6909	+	13.9327i	0.474519	+	0.565510i	0.949210	−	0.314643i	$-0.101885\pi$
$607$	11.6909	+	13.9327i	0.474519	+	0.565510i	−0.474691	+	0.880152i	$0.657440\pi$
$608$	−13.3869	−	15.9539i	−0.542911	−	0.647016i
$609$	16.3894	−	11.7665i	0.664132	−	0.476801i
$610$	−13.8359	−	3.42050i	−0.560200	−	0.138492i
$611$	5.94153	+	10.2910i	0.240368	+	0.416330i
$612$	30.3332	+	49.7885i	1.22615	+	2.01258i
$613$	−34.4670	−	19.8995i	−1.39211	−	0.803733i	−0.398559	−	0.917143i	$-0.630490\pi$
$613$	−34.4670	−	19.8995i	−1.39211	−	0.803733i	−0.993548	+	0.113409i	$0.963823\pi$
$614$	4.14059	−	23.4824i	0.167100	−	0.947674i
$615$	21.6535	+	7.12368i	0.873154	+	0.287255i
$616$	27.9262	+	10.1643i	1.12518	+	0.409532i
$617$	33.3359	−	5.87802i	1.34205	−	0.236640i	0.543928	−	0.839132i	$-0.316936\pi$
$617$	33.3359	−	5.87802i	1.34205	−	0.236640i	0.798125	+	0.602492i	$0.205825\pi$
$618$	−39.2675	+	18.8777i	−1.57957	+	0.759372i
$619$	−37.7797	−	31.7009i	−1.51849	−	1.27417i	−0.844689	−	0.535258i	$-0.820215\pi$
$619$	−37.7797	−	31.7009i	−1.51849	−	1.27417i	−0.673804	−	0.738910i	$-0.735341\pi$
$620$	−9.92643	+	14.7798i	−0.398655	+	0.593571i
$621$	1.30112	−	25.0547i	0.0522120	−	1.00541i
$622$		−	38.2984i		−	1.53563i
$623$	30.3171	−	36.1305i	1.21463	−	1.44754i
$624$	−1.11897	+	1.63886i	−0.0447946	+	0.0656068i
$625$	−20.3416	−	14.5334i	−0.813662	−	0.581338i
$626$	−1.27706	−	0.464812i	−0.0510416	−	0.0185776i
$627$	−21.8323	−	5.57482i	−0.871897	−	0.222637i
$628$	40.0755	+	7.06640i	1.59919	+	0.281980i
$629$	−2.00829	+	3.47846i	−0.0800757	+	0.138695i
$630$	17.9025	−	43.1465i	0.713252	−	1.71900i
$631$	−10.1511	−	17.5822i	−0.404108	−	0.699935i	0.590110	−	0.807323i	$-0.299085\pi$
$631$	−10.1511	−	17.5822i	−0.404108	−	0.699935i	−0.994217	+	0.107388i	$0.965751\pi$
$632$	−0.132005	−	0.362680i	−0.00525087	−	0.0144266i
$633$	−6.34873	+	14.0450i	−0.252339	+	0.558240i
$634$	−21.8115	+	18.3020i	−0.866247	+	0.726867i
$635$	25.7044	−	2.75329i	1.02005	−	0.109261i
$636$	−0.0110493	−	0.111176i	−0.000438133	−	0.00440841i
$637$	−1.26669	−	3.48019i	−0.0501879	−	0.137890i
$638$	−29.7829	+	17.1951i	−1.17912	+	0.680762i
$639$	16.3245	+	41.7593i	0.645788	+	1.65197i
$640$	−32.6251	+	15.9927i	−1.28962	+	0.632165i
$641$	6.49217	−	36.8189i	0.256425	−	1.45426i	−0.535963	−	0.844242i	$-0.680051\pi$
$641$	6.49217	−	36.8189i	0.256425	−	1.45426i	0.792388	−	0.610018i	$-0.208838\pi$
$642$	40.0587	−	41.0149i	1.58099	−	1.61873i
$643$	2.15929	−	5.93260i	0.0851540	−	0.233959i	−0.889806	−	0.456339i	$-0.849160\pi$
$643$	2.15929	−	5.93260i	0.0851540	−	0.233959i	0.974960	+	0.222380i	$0.0713826\pi$
$644$	−7.92021	−	44.9178i	−0.312100	−	1.77001i
$645$	−21.1423	+	26.8570i	−0.832476	+	1.05749i
$646$	−35.0533	−	29.4132i	−1.37915	−	1.15725i
$647$		−	1.79592i		−	0.0706050i	−0.999377	−	0.0353025i	$-0.988761\pi$
$647$		−	1.79592i		−	0.0706050i	0.999377	−	0.0353025i	$-0.0112395\pi$
$648$	14.3699	+	15.5709i	0.564502	+	0.611681i
$649$	−5.51918			−0.216647
$650$	4.87236	−	15.2008i	0.191110	−	0.596225i
$651$	−13.9842	−	1.05743i	−0.548083	−	0.0414439i
$652$	11.5806	−	2.04198i	0.453532	−	0.0799699i
$653$	−8.31809	+	22.8538i	−0.325512	+	0.894337i	0.663720	+	0.747981i	$0.268977\pi$
$653$	−8.31809	+	22.8538i	−0.325512	+	0.894337i	−0.989232	+	0.146356i	$0.953246\pi$
$654$	−32.4725	−	31.7155i	−1.26978	−	1.24017i
$655$	−6.60900	−	6.35691i	−0.258235	−	0.248385i
$656$	2.37280	−	4.10982i	0.0926424	−	0.160461i
$657$	17.0731	+	13.6530i	0.666086	+	0.532653i
$658$	−50.4326	+	29.1173i	−1.96607	+	1.13511i
$659$	27.4347	−	9.98541i	1.06870	−	0.388976i	0.253012	−	0.967463i	$-0.418579\pi$
$659$	27.4347	−	9.98541i	1.06870	−	0.388976i	0.815692	+	0.578487i	$0.196357\pi$
$660$	−22.7263	+	42.3658i	−0.884620	+	1.64909i
$661$	32.2601	−	27.0694i	1.25477	−	1.05288i	0.258553	−	0.965997i	$-0.416754\pi$
$661$	32.2601	−	27.0694i	1.25477	−	1.05288i	0.996219	−	0.0868815i	$-0.0276902\pi$
$662$	5.49021	+	6.54298i	0.213383	+	0.254300i
$663$	−6.46387	+	14.2997i	−0.251036	+	0.555356i
$664$	7.82520	−	2.84814i	0.303677	−	0.110529i
$665$	−1.50035	+	22.0865i	−0.0581812	+	0.856477i
$666$	−1.35768	+	4.02299i	−0.0526090	+	0.155888i
$667$	15.7150	+	9.07303i	0.608485	+	0.351309i
$668$	−34.3043	−	6.04877i	−1.32727	−	0.234034i
$669$	−5.08029	+	19.8956i	−0.196415	+	0.769208i
$670$	6.21146	−	4.53177i	0.239970	−	0.175078i
$671$	2.00639	+	11.3788i	0.0774556	+	0.439273i
$672$	−28.9067	−	19.7367i	−1.11510	−	0.761360i
$673$	−9.63581	+	11.4835i	−0.371433	+	0.442657i	−0.919091	−	0.394046i	$-0.871075\pi$
$673$	−9.63581	+	11.4835i	−0.371433	+	0.442657i	0.547658	+	0.836702i	$0.315520\pi$
$674$	40.4087			1.55649
$675$	22.3292	+	13.2819i	0.859450	+	0.511220i
$676$	−33.4681			−1.28724
$677$	−9.83400	+	11.7197i	−0.377951	+	0.450425i	−0.921166	−	0.389169i	$-0.872762\pi$
$677$	−9.83400	+	11.7197i	−0.377951	+	0.450425i	0.543215	+	0.839593i	$0.317207\pi$
$678$	−32.7990	+	15.7680i	−1.25964	+	0.605567i
$679$	7.23001	+	41.0034i	0.277462	+	1.57357i
$680$	−27.1162	+	19.7835i	−1.03986	+	0.758661i
$681$	8.94733	−	2.51090i	0.342863	−	0.0962177i
$682$	23.5414	+	4.15098i	0.901446	+	0.158949i
$683$	−35.9321	−	20.7454i	−1.37490	−	0.793800i	−0.383362	−	0.923598i	$-0.625234\pi$
$683$	−35.9321	−	20.7454i	−1.37490	−	0.793800i	−0.991540	+	0.129798i	$0.958567\pi$
$684$	−25.6308	−	14.0025i	−0.980019	−	0.535400i
$685$	−0.589492	+	8.67783i	−0.0225233	+	0.331563i
$686$	−28.7503	+	10.4642i	−1.09769	+	0.399527i
$687$	21.4968	+	29.9427i	0.820155	+	1.14239i
$688$	4.57395	+	5.45102i	0.174380	+	0.207818i
$689$	0.0230369	−	0.0193303i	0.000877637	−	0.000736425i
$690$	41.9933	−	1.31204i	1.59866	−	0.0499486i
$691$	−16.2121	+	5.90074i	−0.616739	+	0.224475i	−0.631449	−	0.775417i	$-0.717540\pi$
$691$	−16.2121	+	5.90074i	−0.616739	+	0.224475i	0.0147103	+	0.999892i	$0.495317\pi$
$692$	24.3268	−	14.0451i	0.924767	−	0.533914i
$693$	−37.8593	+	0.893194i	−1.43816	+	0.0339296i
$694$	28.2288	−	48.8936i	1.07155	−	1.85598i
$695$	18.7417	+	18.0269i	0.710915	+	0.683798i
$696$	−14.7551	+	4.14074i	−0.559292	+	0.156954i
$697$	12.8354	−	35.2650i	0.486175	−	1.33576i
$698$	22.5500	−	3.97617i	0.853529	−	0.150500i
$699$	−10.2389	−	21.2980i	−0.387272	−	0.805564i
$700$	44.9787	+	14.4171i	1.70004	+	0.544917i
$701$	−43.7894			−1.65390			−0.826952	−	0.562272i	$-0.809927\pi$
$701$	−43.7894			−1.65390			−0.826952	+	0.562272i	$0.809927\pi$
$702$	−3.72399	+	16.1654i	−0.140553	+	0.610124i
$703$		−	2.01214i		−	0.0758892i
$704$	40.6725	+	34.1283i	1.53290	+	1.28626i
$705$	−12.0226	−	30.0746i	−0.452799	−	1.13268i
$706$	−4.72391	−	26.7906i	−0.177787	−	1.00828i
$707$	−0.175887	+	0.483245i	−0.00661490	+	0.0181743i
$708$	−6.93139	−	1.76991i	−0.260498	−	0.0665175i
$709$	−5.99387	+	33.9929i	−0.225105	+	1.27663i	0.637381	+	0.770549i	$0.280018\pi$
$709$	−5.99387	+	33.9929i	−0.225105	+	1.27663i	−0.862485	+	0.506082i	$0.831093\pi$
$710$	−67.4200	+	33.0489i	−2.53023	+	1.24030i
$711$	0.324933	+	0.369194i	0.0121859	+	0.0138459i
$712$	−31.0259	+	17.9128i	−1.16275	+	0.671312i
$713$	−4.31399	−	11.8526i	−0.161560	−	0.443883i
$714$	−70.0779	−	31.6771i	−2.62260	−	1.18549i
$715$	−12.8671	+	1.37824i	−0.481202	+	0.0515431i
$716$	45.3870	−	38.0843i	1.69619	−	1.42328i
$717$	−9.87931	+	0.981863i	−0.368950	+	0.0366684i
$718$	4.46492	+	12.2673i	0.166629	+	0.457811i
$719$	−9.43611	−	16.3438i	−0.351908	−	0.609522i	0.634676	−	0.772778i	$-0.281134\pi$
$719$	−9.43611	−	16.3438i	−0.351908	−	0.609522i	−0.986584	+	0.163256i	$0.947800\pi$
$720$	3.65654	−	3.98557i	0.136271	−	0.148533i
$721$	17.3507	−	30.0524i	0.646176	−	1.11921i
$722$	−19.4646	−	3.43213i	−0.724396	−	0.127731i
$723$	0.0960736	−	0.0983669i	0.00357301	−	0.00365830i
$724$	65.6388	+	23.8906i	2.43945	+	0.887885i
$725$	−15.8963	+	10.0212i	−0.590375	+	0.372177i
$726$	21.6824	+	1.63954i	0.804710	+	0.0608490i
$727$	−22.8595	+	27.2429i	−0.847812	+	1.01038i	0.151946	+	0.988389i	$0.451446\pi$
$727$	−22.8595	+	27.2429i	−0.847812	+	1.01038i	−0.999758	+	0.0219941i	$0.992998\pi$
$728$			10.3685i			0.384280i
$729$	−24.2787	−	11.8129i	−0.899211	−	0.437516i
$730$	−20.4110	+	30.3905i	−0.755443	+	1.12480i
$731$	43.1066	+	36.1707i	1.59435	+	1.33782i
$732$	−1.12923	+	14.9337i	−0.0417375	+	0.551966i
$733$	−7.83605	+	1.38171i	−0.289431	+	0.0510345i	−0.316479	−	0.948600i	$-0.602501\pi$
$733$	−7.83605	+	1.38171i	−0.289431	+	0.0510345i	0.0270475	+	0.999634i	$0.491389\pi$
$734$	57.3552	+	20.8756i	2.11702	+	0.770532i
$735$	2.06248	+	9.88150i	0.0760756	+	0.364485i
$736$	5.46656	−	31.0024i	0.201500	−	1.14276i
$737$	−5.39821	−	3.11666i	−0.198846	−	0.114804i
$738$	5.96541	−	39.2199i	0.219590	−	1.44370i
$739$	9.25585	+	16.0316i	0.340482	+	0.589732i	0.984522	−	0.175260i	$-0.0560765\pi$
$739$	9.25585	+	16.0316i	0.340482	+	0.589732i	−0.644040	+	0.764992i	$0.722743\pi$
$740$	−4.16767	−	1.03033i	−0.153207	−	0.0378756i
$741$	−0.777486	−	7.82291i	−0.0285617	−	0.287382i
$742$	0.0947307	+	0.112896i	0.00347767	+	0.00414453i
$743$	−5.74868	−	6.85101i	−0.210899	−	0.251339i	0.650217	−	0.759749i	$-0.274678\pi$
$743$	−5.74868	−	6.85101i	−0.210899	−	0.251339i	−0.861115	+	0.508410i	$0.830234\pi$
$744$	9.70681	+	4.38774i	0.355869	+	0.160862i
$745$	−8.30014	+	33.5740i	−0.304093	+	1.23006i
$746$	4.70904	+	8.15629i	0.172410	+	0.298623i
$747$	−7.96575	+	7.01077i	−0.291451	+	0.256511i
$748$	68.5452	+	39.5746i	2.50626	+	1.44699i
$749$	−7.92923	+	44.9689i	−0.289728	+	1.64313i
$750$	−19.0609	+	39.1105i	−0.696005	+	1.42811i
$751$	−5.82056	−	2.11851i	−0.212395	−	0.0773055i	0.233631	−	0.972325i	$-0.424939\pi$
$751$	−5.82056	−	2.11851i	−0.212395	−	0.0773055i	−0.446027	+	0.895020i	$0.647161\pi$
$752$	−6.64038	+	1.17088i	−0.242150	+	0.0426976i
$753$	−2.70703	−	1.84829i	−0.0986497	−	0.0673555i
$754$	−9.19130	−	7.71242i	−0.334728	−	0.280870i
$755$	−2.33512	+	3.47684i	−0.0849837	+	0.126535i
$756$	−47.8330	−	11.0192i	−1.73967	−	0.400763i
$757$			28.0679i			1.02015i	0.860131	+	0.510073i	$0.170381\pi$
$757$			28.0679i			1.02015i	−0.860131	+	0.510073i	$0.829619\pi$
$758$	−40.8262	+	48.6548i	−1.48287	+	1.76722i
$759$	−14.7575	−	30.6970i	−0.535663	−	1.11423i
$760$	6.80881	−	15.3750i	0.246981	−	0.557709i
$761$	−35.1059	−	12.7775i	−1.27259	−	0.463184i	−0.384614	−	0.923078i	$-0.625665\pi$
$761$	−35.1059	−	12.7775i	−1.27259	−	0.463184i	−0.887974	+	0.459894i	$0.847888\pi$
$762$	−12.1559	−	43.3165i	−0.440363	−	1.56919i
$763$	35.6030	+	6.27777i	1.28891	+	0.227270i
$764$	35.5724	−	61.6132i	1.28696	−	2.22909i
$765$	23.0035	−	36.0602i	0.831695	−	1.30376i
$766$	28.5690	+	49.4830i	1.03224	+	1.78789i
$767$	−0.658588	−	1.80945i	−0.0237802	−	0.0653356i
$768$	10.5406	+	14.6820i	0.380352	+	0.529789i
$769$	−29.9381	+	25.1210i	−1.07959	+	0.905887i	−0.995887	−	0.0906036i	$-0.971120\pi$
$769$	−29.9381	+	25.1210i	−1.07959	+	0.905887i	−0.0837068	+	0.996490i	$0.526676\pi$
$770$	−6.75425	−	63.0571i	−0.243406	−	2.27242i
$771$	−13.9244	+	9.99677i	−0.501476	+	0.360025i
$772$	−14.0071	−	38.4843i	−0.504128	−	1.38508i
$773$	41.1533	−	23.7599i	1.48018	−	0.854584i	0.480435	−	0.877031i	$-0.340479\pi$
$773$	41.1533	−	23.7599i	1.48018	−	0.854584i	0.999748	+	0.0224466i	$0.00714558\pi$
$774$	52.2024	+	28.5190i	1.87637	+	1.02509i
$775$	12.9418	+	1.76645i	0.464885	+	0.0634528i
$776$	5.49178	−	31.1455i	0.197144	−	1.11806i
$777$	−0.913715	−	3.25593i	−0.0327793	−	0.116806i
$778$	10.9311	−	30.0331i	0.391901	−	1.07674i
$779$	3.26460	+	18.5145i	0.116966	+	0.663349i
$780$	−16.6014	−	2.39539i	−0.594427	−	0.0857686i
$781$	46.6293	+	39.1266i	1.66853	+	1.40006i
$782$		−	69.1681i		−	2.47345i
$783$	15.5907	−	11.7600i	0.557165	−	0.420269i
$784$	2.10151			0.0750538
$785$	−8.28618	−	28.6822i	−0.295746	−	1.02371i
$786$	−8.99876	+	13.1797i	−0.320975	+	0.470104i
$787$	35.8812	−	6.32682i	1.27903	−	0.225527i	0.507460	−	0.861675i	$-0.330585\pi$
$787$	35.8812	−	6.32682i	1.27903	−	0.225527i	0.771567	+	0.636148i	$0.219473\pi$
$788$	8.99484	−	24.7131i	0.320428	−	0.880369i
$789$	−5.36666	+	21.0171i	−0.191058	+	0.748227i
$790$	−0.570950	+	0.593592i	−0.0203135	+	0.0211191i
$791$	14.4926	−	25.1019i	0.515298	−	0.892522i
$792$	27.2550	+	9.19802i	0.968465	+	0.326837i
$793$	−3.49110	+	2.01559i	−0.123973	+	0.0715756i
$794$	−36.3902	+	13.2450i	−1.29144	+	0.470046i
$795$	−0.0696705	+	0.0431800i	−0.00247096	+	0.00153144i
$796$	−13.2072	+	11.0822i	−0.468117	+	0.392797i
$797$	−5.79043	−	6.90076i	−0.205107	−	0.244437i	0.653678	−	0.756773i	$-0.273225\pi$
$797$	−5.79043	−	6.90076i	−0.205107	−	0.244437i	−0.858786	+	0.512335i	$0.828781\pi$
$798$	38.3373	−	3.81018i	1.35712	−	0.134879i
$799$	−50.1064	+	18.2372i	−1.77264	+	0.645187i
$800$	25.7689	+	19.9685i	0.911068	+	0.705993i
$801$	28.5117	−	35.6540i	1.00741	−	1.25977i
$802$	46.4500	+	26.8179i	1.64021	+	0.946975i
$803$	29.2274	+	5.15357i	1.03141	+	0.181866i
$804$	−5.78000	−	5.64524i	−0.203845	−	0.199092i
$805$	−27.0326	+	19.7225i	−0.952772	+	0.695126i
$806$	1.44823	+	8.21333i	0.0510118	+	0.289302i
$807$	−1.60327	+	21.2028i	−0.0564379	+	0.746375i
$808$	0.251086	−	0.299233i	0.00883319	−	0.0105270i
$809$	15.8700			0.557959			0.278979	−	0.960297i	$-0.410004\pi$
$809$	15.8700			0.557959			0.278979	+	0.960297i	$0.410004\pi$
$810$	16.3384	−	42.1597i	0.574074	−	1.48134i
$811$	−42.6147			−1.49640			−0.748202	−	0.663471i	$-0.769083\pi$
$811$	−42.6147			−1.49640			−0.748202	+	0.663471i	$0.769083\pi$
$812$	22.8208	−	27.1968i	0.800853	−	0.954420i
$813$	2.95987	−	39.1434i	0.103807	−	1.37282i
$814$	1.00095	+	5.67667i	0.0350833	+	0.198967i
$815$	−5.08481	−	6.96949i	−0.178113	−	0.244130i
$816$	−6.37032	−	6.22180i	−0.223006	−	0.217807i
$817$	−27.7615	−	4.89510i	−0.971253	−	0.171258i
$818$	48.6791	+	28.1049i	1.70203	+	0.982665i
$819$	−4.81048	−	12.3055i	−0.168092	−	0.429990i
$820$	40.0200	+	2.71859i	1.39756	+	0.0949373i
$821$	−18.7036	+	6.80756i	−0.652761	+	0.237585i	−0.647108	−	0.762399i	$-0.724022\pi$
$821$	−18.7036	+	6.80756i	−0.652761	+	0.237585i	−0.00565293	+	0.999984i	$0.501799\pi$
$822$	15.0628	−	1.49703i	0.525375	−	0.0522149i
$823$	−34.1358	−	40.6815i	−1.18990	−	1.41807i	−0.884942	−	0.465701i	$-0.845802\pi$
$823$	−34.1358	−	40.6815i	−1.18990	−	1.41807i	−0.304957	−	0.952366i	$-0.598642\pi$
$824$	−20.1919	+	16.9430i	−0.703417	+	0.590237i
$825$	35.2479	+	1.29039i	1.22717	+	0.0449256i
$826$	8.86749	−	3.22750i	0.308539	−	0.112299i
$827$	−8.71066	+	5.02910i	−0.302899	+	0.174879i	−0.643745	−	0.765240i	$-0.722620\pi$
$827$	−8.71066	+	5.02910i	−0.302899	+	0.174879i	0.340845	+	0.940119i	$0.389287\pi$
$828$	−8.68948	−	43.2841i	−0.301980	−	1.50423i
$829$	−12.6463	+	21.9040i	−0.439223	+	0.760756i	−0.997630	−	0.0688110i	$-0.978079\pi$
$829$	−12.6463	+	21.9040i	−0.439223	+	0.760756i	0.558407	+	0.829567i	$0.311413\pi$
$830$	−12.8074	−	12.3189i	−0.444550	−	0.427594i
$831$	7.30256	−	28.5985i	0.253323	−	0.992072i
$832$	−6.33557	+	17.4068i	−0.219647	+	0.603474i
$833$	16.3662	−	2.88580i	0.567055	−	0.0999872i
$834$	25.5186	−	37.3749i	0.883636	−	1.29419i
$835$	7.09289	+	24.5517i	0.245460	+	0.849645i
$836$	−39.6505			−1.37134
$837$	−13.5560	−	0.703976i	−0.468564	−	0.0243330i
$838$		−	91.6828i		−	3.16713i
$839$	−11.4795	−	9.63246i	−0.396317	−	0.332549i	0.422751	−	0.906246i	$-0.361064\pi$
$839$	−11.4795	−	9.63246i	−0.396317	−	0.332549i	−0.819068	+	0.573696i	$0.805509\pi$
$840$	4.03585	−	27.9708i	0.139250	−	0.965085i
$841$	−2.58307	−	14.6493i	−0.0890713	−	0.505149i
$842$	−25.5547	+	70.2110i	−0.880674	+	2.41963i
$843$	7.28890	+	25.9733i	0.251043	+	0.894567i
$844$	−4.70976	+	26.7104i	−0.162117	+	0.919409i
$845$	10.8076	+	22.0476i	0.371792	+	0.758460i
$846$	−48.1367	+	29.3269i	−1.65497	+	1.00828i
$847$	−14.9983	+	8.65928i	−0.515348	+	0.297536i
$848$	0.00583627	+	0.0160350i	0.000200419	+	0.000550645i
$849$	0.972773	−	0.698384i	0.0333855	−	0.0239685i
$850$	63.3769	+	33.3758i	2.17381	+	1.14478i
$851$	2.32993	−	1.95504i	0.0798690	−	0.0670180i
$852$	46.0132	+	64.0914i	1.57639	+	2.19573i
$853$	−1.73467	−	4.76597i	−0.0593941	−	0.163184i	0.906447	−	0.422320i	$-0.138784\pi$
$853$	−1.73467	−	4.76597i	−0.0593941	−	0.163184i	−0.965841	+	0.259137i	$0.916562\pi$
$854$	−9.87767	−	17.1086i	−0.338007	−	0.585445i
$855$	−0.947604	+	21.4064i	−0.0324074	+	0.732082i
$856$	17.3422	−	30.0376i	0.592745	−	1.02666i
$857$	−28.1751	−	4.96803i	−0.962442	−	0.169705i	−0.329716	−	0.944080i	$-0.606953\pi$
$857$	−28.1751	−	4.96803i	−0.962442	−	0.169705i	−0.632726	+	0.774376i	$0.718064\pi$
$858$	6.08501	+	21.6833i	0.207739	+	0.740257i
$859$	−24.0992	−	8.77140i	−0.822255	−	0.299276i	−0.103579	−	0.994621i	$-0.533029\pi$
$859$	−24.0992	−	8.77140i	−0.822255	−	0.299276i	−0.718676	+	0.695345i	$0.755252\pi$
$860$	−24.3545	+	54.9949i	−0.830482	+	1.87531i
$861$	13.6900	+	28.4766i	0.466555	+	0.970481i
$862$	−44.2326	+	52.7144i	−1.50657	+	1.79546i
$863$		−	10.3457i		−	0.352170i	−0.984375	−	0.176085i	$-0.943657\pi$
$863$		−	10.3457i		−	0.352170i	0.984375	−	0.176085i	$-0.0563434\pi$
$864$	−28.4223	−	18.4384i	−0.966945	−	0.627288i
$865$	−17.1080	−	11.4901i	−0.581691	−	0.390677i
$866$	−32.4583	−	27.2358i	−1.10298	−	0.925510i
$867$	−33.8376	−	23.1034i	−1.14918	−	0.784633i
$868$	−24.3030	+	4.28527i	−0.824897	+	0.145452i
$869$	0.627426	+	0.228364i	0.0212840	+	0.00774673i
$870$	21.7932	+	24.3833i	0.738860	+	0.826672i
$871$	0.377639	−	2.14169i	0.0127958	−	0.0725686i
$872$	−23.7815	−	13.7303i	−0.805344	−	0.464966i
$873$	7.93224	+	39.5121i	0.268466	+	1.33728i
$874$	17.3252	+	30.0081i	0.586033	+	1.01504i
$875$	−5.02712	−	34.2859i	−0.169948	−	1.15908i
$876$	35.0532	+	15.8450i	1.18434	+	0.535352i
$877$	7.03414	+	8.38296i	0.237526	+	0.283073i	0.871619	−	0.490185i	$-0.163071\pi$
$877$	7.03414	+	8.38296i	0.237526	+	0.283073i	−0.634093	+	0.773257i	$0.718626\pi$
$878$	11.2868	+	13.4511i	0.380912	+	0.453953i
$879$	2.18959	+	22.0313i	0.0738532	+	0.743096i
$880$	1.76227	−	7.12837i	0.0594060	−	0.240297i
$881$	16.9910	+	29.4293i	0.572443	+	0.991500i	0.996314	+	0.0857776i	$0.0273375\pi$
$881$	16.9910	+	29.4293i	0.572443	+	0.991500i	−0.423872	+	0.905722i	$0.639329\pi$
$882$	16.3618	−	6.39615i	0.550930	−	0.215369i
$883$	−26.7935	−	15.4692i	−0.901672	−	0.520581i	−0.0239300	−	0.999714i	$-0.507618\pi$
$883$	−26.7935	−	15.4692i	−0.901672	−	0.520581i	−0.877742	+	0.479133i	$0.840951\pi$
$884$	−4.79517	+	27.1948i	−0.161279	+	0.914659i
$885$	1.07234	+	5.13769i	0.0360464	+	0.172701i
$886$	10.0116	+	3.64392i	0.336346	+	0.122420i
$887$	20.0348	−	3.53267i	0.672701	−	0.118615i	0.173144	−	0.984896i	$-0.444607\pi$
$887$	20.0348	−	3.53267i	0.672701	−	0.118615i	0.499557	+	0.866281i	$0.333496\pi$
$888$	−0.193681	+	2.56137i	−0.00649951	+	0.0859540i
$889$	27.4495	+	23.0328i	0.920626	+	0.772497i
$890$	63.4649	+	42.6244i	2.12735	+	1.42877i
$891$	−36.6144	+	1.72861i	−1.22663	+	0.0579105i
$892$			36.1332i			1.20983i
$893$	17.1703	−	20.4627i	0.574581	−	0.684759i
$894$	60.0173	+	4.53827i	2.00728	+	0.151782i
$895$	−39.7450	−	17.6011i	−1.32853	−	0.588339i
$896$	−47.3255	−	17.2251i	−1.58103	−	0.575449i
$897$	8.30301	−	8.50121i	0.277229	−	0.283847i
$898$	−21.8932	−	3.86036i	−0.730584	−	0.128822i
$899$	4.90901	−	8.50265i	0.163725	−	0.283579i
$900$	43.8530	+	12.9240i	1.46177	+	0.430800i
$901$	0.0674714	+	0.116864i	0.00224780	+	0.00389330i
$902$	−18.4203	−	50.6093i	−0.613328	−	1.68510i
$903$	−47.1450	+	4.68555i	−1.56889	+	0.155925i
$904$	−16.8657	+	14.1520i	−0.560945	+	0.470689i
$905$	−5.45797	−	50.9552i	−0.181429	−	1.69381i
$906$	6.64180	+	3.00227i	0.220659	+	0.0997438i
$907$	−19.1116	−	52.5088i	−0.634591	−	1.74353i	−0.668084	−	0.744086i	$-0.732885\pi$
$907$	−19.1116	−	52.5088i	−0.634591	−	1.74353i	0.0334925	−	0.999439i	$-0.489337\pi$
$908$	14.1618	−	8.17633i	0.469976	−	0.271341i
$909$	−0.159166	+	0.471630i	−0.00527919	+	0.0156430i
$910$	19.8672	−	9.73878i	0.658591	−	0.322838i
$911$	−0.739941	+	4.19641i	−0.0245153	+	0.139033i	−0.994609	−	0.103698i	$-0.966932\pi$
$911$	−0.739941	+	4.19641i	−0.0245153	+	0.139033i	0.970093	+	0.242732i	$0.0780435\pi$
$912$	4.32215	+	1.10365i	0.143121	+	0.0365456i
$913$	−4.92720	+	13.5374i	−0.163067	+	0.448022i
$914$	5.69412	+	32.2930i	0.188345	+	1.06816i
$915$	10.2024	−	4.07853i	0.337282	−	0.134832i
$916$	49.6874	+	41.6927i	1.64172	+	1.37756i
$917$		−	12.7106i		−	0.419740i
$918$	−68.5344	−	29.0527i	−2.26197	−	0.958881i
$919$	14.8879			0.491107			0.245553	−	0.969383i	$-0.421030\pi$
$919$	14.8879			0.491107			0.245553	+	0.969383i	$0.421030\pi$
$920$	24.4188	−	7.05452i	0.805066	−	0.232581i
$921$	7.96462	+	16.5672i	0.262443	+	0.545908i
$922$	−20.2450	+	3.56974i	−0.666734	+	0.117563i
$923$	−7.26347	+	19.9562i	−0.239080	+	0.656867i
$924$	−64.1603	+	18.0053i	−2.11072	+	0.592332i
$925$	0.667091	+	3.07822i	0.0219338	+	0.101211i
$926$	2.12474	−	3.68015i	0.0698231	−	0.120937i
$927$	16.1035	−	29.4764i	0.528907	−	0.968133i
$928$	21.2213	−	12.2521i	0.696622	−	0.402195i
$929$	2.45476	−	0.893461i	0.0805382	−	0.0293135i	−0.301437	−	0.953486i	$-0.597466\pi$
$929$	2.45476	−	0.893461i	0.0805382	−	0.0293135i	0.381975	+	0.924173i	$0.375244\pi$
$930$	−0.709887	−	22.7207i	−0.0232781	−	0.745041i
$931$	−6.37753	+	5.35138i	−0.209015	+	0.175385i
$932$	−26.7294	−	31.8549i	−0.875551	−	1.04344i
$933$	17.2188	+	23.9839i	0.563719	+	0.785199i
$934$	72.6840	−	26.4548i	2.37829	−	0.865628i
$935$	3.93554	−	57.9346i	0.128706	−	1.89466i
$936$	0.236705	+	10.0331i	0.00773694	+	0.327942i
$937$	48.4632	+	27.9802i	1.58322	+	0.914074i	0.994385	+	0.105823i	$0.0337478\pi$
$937$	48.4632	+	27.9802i	1.58322	+	0.914074i	0.588838	+	0.808251i	$0.299586\pi$
$938$	10.4957	+	1.85067i	0.342696	+	0.0604266i
$939$	1.00872	−	0.283078i	0.0329184	−	0.00923791i
$940$	−33.5916	−	46.0423i	−1.09564	−	1.50173i
$941$	6.83296	+	38.7517i	0.222748	+	1.26327i	0.866943	+	0.498407i	$0.166081\pi$
$941$	6.83296	+	38.7517i	0.222748	+	1.26327i	−0.644195	+	0.764861i	$0.722807\pi$
$942$	−46.8272	+	22.5120i	−1.52571	+	0.733480i
$943$	−18.2666	+	21.7693i	−0.594843	+	0.708906i
$944$	1.09264			0.0355623
$945$	8.18729	+	35.0689i	0.266333	+	1.14079i
$946$	80.7563			2.62561
$947$	−27.9256	+	33.2804i	−0.907459	+	1.08147i	0.0888851	+	0.996042i	$0.471670\pi$
$947$	−27.9256	+	33.2804i	−0.907459	+	1.08147i	−0.996345	+	0.0854261i	$0.972775\pi$
$948$	0.714735	+	0.488003i	0.0232135	+	0.0158496i
$949$	1.79802	+	10.1971i	0.0583663	+	0.331012i
$950$	−35.8556	+	1.39476i	−1.16331	+	0.0452520i
$951$	5.43069	−	21.2678i	0.176102	−	0.689657i
$952$	−45.8189	−	8.07911i	−1.48500	−	0.261846i
$953$	41.1272	+	23.7448i	1.33224	+	0.769169i	0.985643	−	0.168845i	$-0.0540036\pi$
$953$	41.1272	+	23.7448i	1.33224	+	0.769169i	0.346598	+	0.938014i	$0.387337\pi$
$954$	0.0942440	+	0.107081i	0.00305126	+	0.00346689i
$955$	−52.0756	−	3.53753i	−1.68513	−	0.114472i
$956$	−16.4165	+	5.97511i	−0.530947	+	0.193249i
$957$	10.9203	−	24.1585i	0.353004	−	0.780935i
$958$	8.47011	+	10.0943i	0.273657	+	0.326132i
$959$	−9.23549	+	7.74949i	−0.298229	+	0.250244i
$960$	23.8669	−	44.4921i	0.770300	−	1.43598i
$961$	22.7176	−	8.26852i	0.732825	−	0.266726i
$962$	−1.74165	+	1.00554i	−0.0561530	+	0.0324199i
$963$	−6.64615	+	43.6954i	−0.214169	+	1.40806i
$964$	0.120978	−	0.209540i	0.00389643	−	0.00674881i
$965$	−20.8288	+	21.6548i	−0.670503	+	0.697093i
$966$	41.6614	+	40.6901i	1.34043	+	1.30918i
$967$	−1.59085	+	4.37082i	−0.0511582	+	0.140556i	−0.962640	−	0.270784i	$-0.912717\pi$
$967$	−1.59085	+	4.37082i	−0.0511582	+	0.140556i	0.911482	+	0.411340i	$0.134939\pi$
$968$	12.9550	−	2.28432i	0.416390	−	0.0734207i
$969$	35.1758	+	2.65986i	1.13001	+	0.0854469i
$970$	−64.8367	+	18.7311i	−2.08178	+	0.601419i
$971$	−14.2904			−0.458601			−0.229300	−	0.973356i	$-0.573644\pi$
$971$	−14.2904			−0.458601			−0.229300	+	0.973356i	$0.573644\pi$
$972$	−46.5374	−	9.57075i	−1.49269	−	0.306982i
$973$			36.0445i			1.15553i
$974$	−24.4928	−	20.5519i	−0.784799	−	0.658524i
$975$	3.78297	+	11.7099i	0.121152	+	0.375018i
$976$	−0.397206	−	2.25266i	−0.0127142	−	0.0721060i
$977$	−8.99180	+	24.7048i	−0.287673	+	0.790375i	0.708718	+	0.705492i	$0.249274\pi$
$977$	−8.99180	+	24.7048i	−0.287673	+	0.790375i	−0.996391	+	0.0848833i	$0.972948\pi$
$978$	−10.4906	+	10.7411i	−0.335454	+	0.343461i
$979$	10.7623	−	61.0358i	0.343963	−	1.95071i
$980$	7.81848	+	15.9498i	0.249752	+	0.509497i
$981$	34.5947	+	5.26192i	1.10452	+	0.168000i
$982$	−0.813720	+	0.469801i	−0.0259668	+	0.0149920i
$983$	2.83783	+	7.79687i	0.0905127	+	0.248682i	0.976686	−	0.214672i	$-0.0688682\pi$
$983$	2.83783	+	7.79687i	0.0905127	+	0.248682i	−0.886173	+	0.463354i	$0.846646\pi$
$984$	−2.37357	−	23.8824i	−0.0756667	−	0.761344i
$985$	−19.1847	+	2.05494i	−0.611276	+	0.0654757i
$986$	41.2436	−	34.6075i	1.31346	−	1.10213i
$987$	18.4918	−	40.9087i	0.588602	−	1.30214i
$988$	−4.73138	−	12.9994i	−0.150525	−	0.413565i
$989$	−21.3056	−	36.9023i	−0.677477	−	1.17342i
$990$	−7.97533	−	60.8633i	−0.253473	−	1.93436i
$991$	−15.2451	+	26.4053i	−0.484277	+	0.838792i	−0.999837	−	0.0180615i	$-0.994251\pi$
$991$	−15.2451	+	26.4053i	−0.484277	+	0.838792i	0.515560	+	0.856853i	$0.327584\pi$
$992$	−16.7740	−	2.95771i	−0.532575	−	0.0939074i
$993$	−6.37988	−	1.62909i	−0.202459	−	0.0516975i
$994$	−97.7983	−	35.5957i	−3.10197	−	1.12903i
$995$	11.5654	+	5.12175i	0.366648	+	0.162370i
$996$	−10.5292	+	15.4212i	−0.333629	+	0.488638i
$997$	31.7490	−	37.8369i	1.00550	−	1.19831i	0.0254251	−	0.999677i	$-0.491906\pi$
$997$	31.7490	−	37.8369i	1.00550	−	1.19831i	0.980074	−	0.198631i	$-0.0636495\pi$
$998$			17.6621i			0.559083i
$999$	−0.958491	−	3.12976i	−0.0303253	−	0.0990213i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	135.2.p.a.124.2	yes	96
3.2	odd	2		405.2.p.a.289.15		96
5.2	odd	4		675.2.l.h.151.2		96
5.3	odd	4		675.2.l.h.151.15		96
5.4	even	2	inner	135.2.p.a.124.15	yes	96
15.14	odd	2		405.2.p.a.289.2		96
27.5	odd	18		405.2.p.a.199.2		96
27.22	even	9	inner	135.2.p.a.49.15	yes	96
135.22	odd	36		675.2.l.h.76.2		96
135.49	even	18	inner	135.2.p.a.49.2	✓	96
135.59	odd	18		405.2.p.a.199.15		96
135.103	odd	36		675.2.l.h.76.15		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
135.2.p.a.49.2	✓	96	135.49	even	18	inner
135.2.p.a.49.15	yes	96	27.22	even	9	inner
135.2.p.a.124.2	yes	96	1.1	even	1	trivial
135.2.p.a.124.15	yes	96	5.4	even	2	inner
405.2.p.a.199.2		96	27.5	odd	18
405.2.p.a.199.15		96	135.59	odd	18
405.2.p.a.289.2		96	15.14	odd	2
405.2.p.a.289.15		96	3.2	odd	2
675.2.l.h.76.2		96	135.22	odd	36
675.2.l.h.76.15		96	135.103	odd	36
675.2.l.h.151.2		96	5.2	odd	4
675.2.l.h.151.15		96	5.3	odd	4

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:	\( N \)	\(=\)	\( 135 = 3^{3} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	135.p (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.44418 + 1.72110i) q^{2} +(0.130598 - 1.72712i) q^{3} +(-0.529254 - 3.00155i) q^{4} +(-1.80640 + 1.31792i) q^{5} +(2.78395 + 2.71904i) q^{6} +(-3.05233 - 0.538208i) q^{7} +(2.03885 + 1.17713i) q^{8} +(-2.96589 - 0.451117i) q^{9} +O(q^{10})\)	\(q+(-1.44418 + 1.72110i) q^{2} +(0.130598 - 1.72712i) q^{3} +(-0.529254 - 3.00155i) q^{4} +(-1.80640 + 1.31792i) q^{5} +(2.78395 + 2.71904i) q^{6} +(-3.05233 - 0.538208i) q^{7} +(2.03885 + 1.17713i) q^{8} +(-2.96589 - 0.451117i) q^{9} +(0.340491 - 5.01232i) q^{10} +(-3.82718 + 1.39298i) q^{11} +(-5.25316 + 0.522089i) q^{12} +(-0.913372 - 1.08851i) q^{13} +(5.33442 - 4.47611i) q^{14} +(2.04029 + 3.29199i) q^{15} +(0.757669 - 0.275769i) q^{16} +(5.52192 - 3.18808i) q^{17} +(5.05969 - 4.45311i) q^{18} +(-1.59710 + 2.76626i) q^{19} +(4.91185 + 4.72449i) q^{20} +(-1.32818 + 5.20145i) q^{21} +(3.12967 - 8.59869i) q^{22} +(-4.75493 + 0.838423i) q^{23} +(2.29931 - 3.36760i) q^{24} +(1.52618 - 4.76138i) q^{25} +3.19252 q^{26} +(-1.16647 + 5.06353i) q^{27} +9.44656i q^{28} +(-2.87901 - 2.41578i) q^{29} +(-8.61241 - 1.24267i) q^{30} +(0.453633 + 2.57268i) q^{31} +(-2.22999 + 6.12685i) q^{32} +(1.90602 + 6.79192i) q^{33} +(-2.48762 + 14.1080i) q^{34} +(6.22305 - 3.05050i) q^{35} +(0.215659 + 9.14102i) q^{36} +(-0.545540 + 0.314968i) q^{37} +(-2.45452 - 6.74374i) q^{38} +(-1.99928 + 1.43535i) q^{39} +(-5.23434 + 0.560667i) q^{40} +(4.50871 - 3.78325i) q^{41} +(-7.03411 - 9.79775i) q^{42} +(3.01843 + 8.29308i) q^{43} +(6.20665 + 10.7502i) q^{44} +(5.95212 - 3.09390i) q^{45} +(5.42396 - 9.39457i) q^{46} +(-8.23568 - 1.45217i) q^{47} +(-0.377336 - 1.34460i) q^{48} +(2.44919 + 0.891433i) q^{49} +(5.99077 + 9.50300i) q^{50} +(-4.78505 - 9.95338i) q^{51} +(-2.78382 + 3.31763i) q^{52} +0.0211636i q^{53} +(-7.03027 - 9.32026i) q^{54} +(5.07759 - 7.56019i) q^{55} +(-5.58969 - 4.69031i) q^{56} +(4.56908 + 3.11965i) q^{57} +(8.31562 - 1.46627i) q^{58} +(1.27341 + 0.463483i) q^{59} +(8.80124 - 7.86634i) q^{60} +(0.492631 - 2.79385i) q^{61} +(-5.08298 - 2.93466i) q^{62} +(8.81007 + 2.97322i) q^{63} +(-6.51815 - 11.2898i) q^{64} +(3.08449 + 0.762545i) q^{65} +(-14.4422 - 6.52828i) q^{66} +(0.983770 + 1.17241i) q^{67} +(-12.4917 - 14.8870i) q^{68} +(0.827072 + 8.32183i) q^{69} +(-3.73696 + 15.1160i) q^{70} +(-7.47278 - 12.9432i) q^{71} +(-5.51597 - 4.41099i) q^{72} +(-6.31067 - 3.64347i) q^{73} +(0.245765 - 1.39380i) q^{74} +(-8.02417 - 3.25772i) q^{75} +(9.14833 + 3.32972i) q^{76} +(12.4315 - 2.19201i) q^{77} +(0.416937 - 5.51386i) q^{78} +(-0.125585 - 0.105378i) q^{79} +(-1.00521 + 1.49670i) q^{80} +(8.59299 + 2.67593i) q^{81} +13.2236i q^{82} +(2.27365 - 2.70963i) q^{83} +(16.3154 + 1.23370i) q^{84} +(-5.77318 + 13.0364i) q^{85} +(-18.6324 - 6.78165i) q^{86} +(-4.54833 + 4.65691i) q^{87} +(-9.44275 - 1.66501i) q^{88} +(-7.60870 + 13.1787i) q^{89} +(-3.27100 + 14.7124i) q^{90} +(2.20206 + 3.81409i) q^{91} +(5.03313 + 13.8284i) q^{92} +(4.50257 - 0.447492i) q^{93} +(14.3931 - 12.0773i) q^{94} +(-0.760698 - 7.10182i) q^{95} +(10.2906 + 4.65161i) q^{96} +(-4.59453 - 12.6234i) q^{97} +(-5.07132 + 2.92793i) q^{98} +(11.9794 - 2.40492i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{4} - 9 q^{5} - 6 q^{6} - 18 q^{9}+O(q^{10}) \) 96 * q - 12 * q^4 - 9 * q^5 - 6 * q^6 - 18 * q^9	\( 96 q - 12 q^{4} - 9 q^{5} - 6 q^{6} - 18 q^{9} - 3 q^{10} - 6 q^{11} - 18 q^{14} - 21 q^{15} - 24 q^{16} - 6 q^{19} - 57 q^{20} + 24 q^{21} - 30 q^{24} + 3 q^{25} + 48 q^{26} - 30 q^{29} - 51 q^{30} - 30 q^{31} - 24 q^{34} - 12 q^{35} + 54 q^{36} - 6 q^{39} - 9 q^{40} - 12 q^{41} + 78 q^{44} + 45 q^{45} - 6 q^{46} - 30 q^{49} + 84 q^{50} - 90 q^{51} + 108 q^{54} - 12 q^{55} - 96 q^{56} + 66 q^{59} + 84 q^{60} + 6 q^{61} + 45 q^{65} - 150 q^{66} + 24 q^{69} - 33 q^{70} - 90 q^{71} + 66 q^{74} + 39 q^{75} + 12 q^{76} + 24 q^{79} + 30 q^{80} - 54 q^{81} + 198 q^{84} - 21 q^{85} + 18 q^{86} + 96 q^{89} + 90 q^{90} - 6 q^{91} + 24 q^{94} + 87 q^{95} + 42 q^{96} + 36 q^{99}+O(q^{100}) \) 96 * q - 12 * q^4 - 9 * q^5 - 6 * q^6 - 18 * q^9 - 3 * q^10 - 6 * q^11 - 18 * q^14 - 21 * q^15 - 24 * q^16 - 6 * q^19 - 57 * q^20 + 24 * q^21 - 30 * q^24 + 3 * q^25 + 48 * q^26 - 30 * q^29 - 51 * q^30 - 30 * q^31 - 24 * q^34 - 12 * q^35 + 54 * q^36 - 6 * q^39 - 9 * q^40 - 12 * q^41 + 78 * q^44 + 45 * q^45 - 6 * q^46 - 30 * q^49 + 84 * q^50 - 90 * q^51 + 108 * q^54 - 12 * q^55 - 96 * q^56 + 66 * q^59 + 84 * q^60 + 6 * q^61 + 45 * q^65 - 150 * q^66 + 24 * q^69 - 33 * q^70 - 90 * q^71 + 66 * q^74 + 39 * q^75 + 12 * q^76 + 24 * q^79 + 30 * q^80 - 54 * q^81 + 198 * q^84 - 21 * q^85 + 18 * q^86 + 96 * q^89 + 90 * q^90 - 6 * q^91 + 24 * q^94 + 87 * q^95 + 42 * q^96 + 36 * q^99

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