LMFDB - Embedded newform 155.2.u.a.59.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [155,2,Mod(9,155)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(155, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 2]))

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

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

chi := DirichletCharacter("155.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 155 = 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	155.u (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:	$1.23768123133$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			59.11
Character	$\chi$	$=$	155.59
Dual form			155.2.u.a.134.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.639282 + 0.879896i) q^{2} +(1.73241 + 0.182084i) q^{3} +(0.252498 - 0.777110i) q^{4} +(-1.82953 - 1.28562i) q^{5} +(0.947285 + 1.64075i) q^{6} +(0.785446 + 3.69523i) q^{7} +(2.91395 - 0.946801i) q^{8} +(0.0336539 + 0.00715335i) q^{9} +O(q^{10})$	\(q+(0.639282 + 0.879896i) q^{2} +(1.73241 + 0.182084i) q^{3} +(0.252498 - 0.777110i) q^{4} +(-1.82953 - 1.28562i) q^{5} +(0.947285 + 1.64075i) q^{6} +(0.785446 + 3.69523i) q^{7} +(2.91395 - 0.946801i) q^{8} +(0.0336539 + 0.00715335i) q^{9} +(-0.0383745 - 2.43167i) q^{10} +(-1.02736 - 1.14099i) q^{11} +(0.578930 - 1.30030i) q^{12} +(0.436860 + 0.981203i) q^{13} +(-2.74930 + 3.05341i) q^{14} +(-2.93541 - 2.56035i) q^{15} +(1.37382 + 0.998142i) q^{16} +(0.0948853 + 0.0854351i) q^{17} +(0.0152201 + 0.0341849i) q^{18} +(-6.68895 - 2.97811i) q^{19} +(-1.46102 + 1.09713i) q^{20} +(0.687874 + 6.54468i) q^{21} +(0.347186 - 1.63338i) q^{22} +(-6.52175 + 2.11904i) q^{23} +(5.22056 - 1.10967i) q^{24} +(1.69437 + 4.70416i) q^{25} +(-0.584080 + 1.01166i) q^{26} +(-4.91309 - 1.59636i) q^{27} +(3.06993 + 0.322662i) q^{28} +(7.54670 - 5.48300i) q^{29} +(0.376287 - 4.21964i) q^{30} +(3.04536 + 4.66109i) q^{31} -4.28091i q^{32} +(-1.57205 - 2.16374i) q^{33} +(-0.0145156 + 0.138106i) q^{34} +(3.31366 - 7.77032i) q^{35} +(0.0140565 - 0.0243466i) q^{36} +(0.992339 - 0.572927i) q^{37} +(-1.65569 - 7.78943i) q^{38} +(0.578160 + 1.77939i) q^{39} +(-6.54839 - 2.01403i) q^{40} +(0.0547887 + 0.521280i) q^{41} +(-5.31889 + 4.78915i) q^{42} +(-2.77666 + 6.23648i) q^{43} +(-1.14608 + 0.510269i) q^{44} +(-0.0523743 - 0.0563534i) q^{45} +(-6.03378 - 4.38379i) q^{46} +(2.67883 - 3.68709i) q^{47} +(2.19828 + 1.97934i) q^{48} +(-6.64300 + 2.95765i) q^{49} +(-3.05599 + 4.49815i) q^{50} +(0.148824 + 0.165286i) q^{51} +(0.872809 - 0.0917359i) q^{52} +(1.01316 - 4.76655i) q^{53} +(-1.73622 - 5.34353i) q^{54} +(0.412695 + 3.40827i) q^{55} +(5.78740 + 10.0241i) q^{56} +(-11.0457 - 6.37726i) q^{57} +(9.64893 + 3.13513i) q^{58} +(0.0850950 - 0.809625i) q^{59} +(-2.73086 + 1.63465i) q^{60} +7.91042 q^{61} +(-2.15444 + 5.65935i) q^{62} +0.129977i q^{63} +(6.51440 - 4.73299i) q^{64} +(0.462205 - 2.35678i) q^{65} +(0.898882 - 2.76647i) q^{66} +(11.3852 + 6.57324i) q^{67} +(0.0903509 - 0.0521641i) q^{68} +(-11.6842 + 2.48355i) q^{69} +(8.95544 - 2.05175i) q^{70} +(11.3235 + 2.40688i) q^{71} +(0.104839 - 0.0110190i) q^{72} +(-2.07514 + 1.86847i) q^{73} +(1.13850 + 0.506893i) q^{74} +(2.07879 + 8.45806i) q^{75} +(-4.00327 + 4.44608i) q^{76} +(3.40930 - 4.69250i) q^{77} +(-1.19607 + 1.64625i) q^{78} +(2.44535 - 2.71584i) q^{79} +(-1.23022 - 3.59235i) q^{80} +(-8.31512 - 3.70213i) q^{81} +(-0.423647 + 0.381453i) q^{82} +(-0.316336 + 0.0332482i) q^{83} +(5.25962 + 1.11797i) q^{84} +(-0.0637586 - 0.278293i) q^{85} +(-7.26252 + 1.54370i) q^{86} +(14.0724 - 8.12468i) q^{87} +(-4.07396 - 2.35210i) q^{88} +(-4.35898 + 13.4156i) q^{89} +(0.0161031 - 0.0821096i) q^{90} +(-3.28264 + 2.38498i) q^{91} +5.60317i q^{92} +(4.42710 + 8.62945i) q^{93} +4.95678 q^{94} +(8.40892 + 14.0480i) q^{95} +(0.779484 - 7.41629i) q^{96} +(3.23873 + 1.05233i) q^{97} +(-6.84917 - 3.95437i) q^{98} +(-0.0264126 - 0.0457479i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9}+O(q^{10}) $ 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9	$ 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9} - 22 q^{10} - 10 q^{11} - 20 q^{14} - 18 q^{15} - 44 q^{16} - 46 q^{19} + 35 q^{20} + 26 q^{21} + 48 q^{24} + 19 q^{25} - 78 q^{26} + 16 q^{29} + 30 q^{30} - 26 q^{31} - 4 q^{34} - 27 q^{35} - 4 q^{36} - 63 q^{40} - 16 q^{41} - 86 q^{44} - 71 q^{45} + 4 q^{46} + 42 q^{49} - 10 q^{50} + 92 q^{51} + 32 q^{54} - 39 q^{55} - 34 q^{56} + 26 q^{59} - 71 q^{60} + 40 q^{61} + 24 q^{64} - 72 q^{65} + 252 q^{66} - 4 q^{69} - 26 q^{70} + 116 q^{71} - 18 q^{74} - 58 q^{75} + 224 q^{76} - 134 q^{79} + 158 q^{80} - 60 q^{81} - 20 q^{84} - 27 q^{85} - 126 q^{86} + 82 q^{89} + 129 q^{90} + 2 q^{91} - 244 q^{94} + 96 q^{95} + 208 q^{96} + 94 q^{99}+O(q^{100}) $ 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9 - 22 * q^10 - 10 * q^11 - 20 * q^14 - 18 * q^15 - 44 * q^16 - 46 * q^19 + 35 * q^20 + 26 * q^21 + 48 * q^24 + 19 * q^25 - 78 * q^26 + 16 * q^29 + 30 * q^30 - 26 * q^31 - 4 * q^34 - 27 * q^35 - 4 * q^36 - 63 * q^40 - 16 * q^41 - 86 * q^44 - 71 * q^45 + 4 * q^46 + 42 * q^49 - 10 * q^50 + 92 * q^51 + 32 * q^54 - 39 * q^55 - 34 * q^56 + 26 * q^59 - 71 * q^60 + 40 * q^61 + 24 * q^64 - 72 * q^65 + 252 * q^66 - 4 * q^69 - 26 * q^70 + 116 * q^71 - 18 * q^74 - 58 * q^75 + 224 * q^76 - 134 * q^79 + 158 * q^80 - 60 * q^81 - 20 * q^84 - 27 * q^85 - 126 * q^86 + 82 * q^89 + 129 * q^90 + 2 * q^91 - 244 * q^94 + 96 * q^95 + 208 * q^96 + 94 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/155\mathbb{Z}\right)^\times$.

$n$	$32$	$96$
$\chi(n)$	$-1$	$e\left(\frac{8}{15}\right)$

Coefficient data

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

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

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

$2$	0.639282	+	0.879896i	0.452041	+	0.622180i	0.972834	−	0.231502i	$-0.0743640\pi$
$2$	0.639282	+	0.879896i	0.452041	+	0.622180i	−0.520794	+	0.853682i	$0.674364\pi$
$3$	1.73241	+	0.182084i	1.00021	+	0.105126i	0.590455	−	0.807070i	$-0.298948\pi$
$3$	1.73241	+	0.182084i	1.00021	+	0.105126i	0.409753	+	0.912196i	$0.365615\pi$
$4$	0.252498	−	0.777110i	0.126249	−	0.388555i
$5$	−1.82953	−	1.28562i	−0.818191	−	0.574946i
$5$	−1.82953	−	1.28562i	−0.818191	−	0.574946i
$6$	0.947285	+	1.64075i	0.386727	+	0.669831i
$7$	0.785446	+	3.69523i	0.296871	+	1.39667i	0.833347	+	0.552751i	$0.186422\pi$
$7$	0.785446	+	3.69523i	0.296871	+	1.39667i	−0.536476	+	0.843916i	$0.680245\pi$
$8$	2.91395	−	0.946801i	1.03024	−	0.334745i
$9$	0.0336539	+	0.00715335i	0.0112180	+	0.00238445i
$10$	−0.0383745	−	2.43167i	−0.0121351	−	0.768962i
$11$	−1.02736	−	1.14099i	−0.309759	−	0.344022i	0.568084	−	0.822971i	$-0.307685\pi$
$11$	−1.02736	−	1.14099i	−0.309759	−	0.344022i	−0.877843	+	0.478948i	$0.841018\pi$
$12$	0.578930	−	1.30030i	0.167123	−	0.375364i
$13$	0.436860	+	0.981203i	0.121163	+	0.272137i	0.963937	−	0.266131i	$-0.0857455\pi$
$13$	0.436860	+	0.981203i	0.121163	+	0.272137i	−0.842774	+	0.538268i	$0.819079\pi$
$14$	−2.74930	+	3.05341i	−0.734781	+	0.816057i
$15$	−2.93541	−	2.56035i	−0.757920	−	0.661080i
$16$	1.37382	+	0.998142i	0.343456	+	0.249536i
$17$	0.0948853	+	0.0854351i	0.0230131	+	0.0207211i	0.680557	−	0.732695i	$-0.261738\pi$
$17$	0.0948853	+	0.0854351i	0.0230131	+	0.0207211i	−0.657544	+	0.753416i	$0.728405\pi$
$18$	0.0152201	+	0.0341849i	0.00358741	+	0.00805746i
$19$	−6.68895	−	2.97811i	−1.53455	−	0.683225i	−0.546514	−	0.837450i	$-0.684045\pi$
$19$	−6.68895	−	2.97811i	−1.53455	−	0.683225i	−0.988036	+	0.154225i	$0.950712\pi$
$20$	−1.46102	+	1.09713i	−0.326694	+	0.245326i
$21$	0.687874	+	6.54468i	0.150106	+	1.42817i
$22$	0.347186	−	1.63338i	0.0740203	−	0.348238i
$23$	−6.52175	+	2.11904i	−1.35988	+	0.441851i	−0.896003	−	0.444049i	$-0.853542\pi$
$23$	−6.52175	+	2.11904i	−1.35988	+	0.441851i	−0.463876	+	0.885900i	$0.653542\pi$
$24$	5.22056	−	1.10967i	1.06564	−	0.226509i
$25$	1.69437	+	4.70416i	0.338873	+	0.940832i
$26$	−0.584080	+	1.01166i	−0.114547	+	0.198402i
$27$	−4.91309	−	1.59636i	−0.945525	−	0.307220i
$28$	3.06993	+	0.322662i	0.580161	+	0.0609774i
$29$	7.54670	−	5.48300i	1.40139	−	1.01817i	0.406881	−	0.913481i	$-0.366616\pi$
$29$	7.54670	−	5.48300i	1.40139	−	1.01817i	0.994505	−	0.104686i	$-0.0333836\pi$
$30$	0.376287	−	4.21964i	0.0687003	−	0.770398i
$31$	3.04536	+	4.66109i	0.546962	+	0.837157i
$31$	3.04536	+	4.66109i	0.546962	+	0.837157i
$32$		−	4.28091i		−	0.756764i
$33$	−1.57205	−	2.16374i	−0.273658	−	0.376658i
$34$	−0.0145156	+	0.138106i	−0.00248940	+	0.0236850i
$35$	3.31366	−	7.77032i	0.560112	−	1.31342i
$36$	0.0140565	−	0.0243466i	0.00234275	−	0.00405776i
$37$	0.992339	−	0.572927i	0.163139	−	0.0941886i	−0.416207	−	0.909270i	$-0.636641\pi$
$37$	0.992339	−	0.572927i	0.163139	−	0.0941886i	0.579347	+	0.815081i	$0.303308\pi$
$38$	−1.65569	−	7.78943i	−0.268589	−	1.26361i
$39$	0.578160	+	1.77939i	0.0925796	+	0.284931i
$40$	−6.54839	−	2.01403i	−1.03539	−	0.318447i
$41$	0.0547887	+	0.521280i	0.00855656	+	0.0814103i	0.997967	−	0.0637357i	$-0.0203015\pi$
$41$	0.0547887	+	0.521280i	0.00855656	+	0.0814103i	−0.989410	+	0.145146i	$0.953635\pi$
$42$	−5.31889	+	4.78915i	−0.820723	+	0.738982i
$43$	−2.77666	+	6.23648i	−0.423437	+	0.951054i	0.568307	+	0.822817i	$0.307599\pi$
$43$	−2.77666	+	6.23648i	−0.423437	+	0.951054i	−0.991743	+	0.128238i	$0.959068\pi$
$44$	−1.14608	+	0.510269i	−0.172779	+	0.0769259i
$45$	−0.0523743	−	0.0563534i	−0.00780750	−	0.00840066i
$46$	−6.03378	−	4.38379i	−0.889632	−	0.646355i
$47$	2.67883	−	3.68709i	0.390747	−	0.537817i	−0.567645	−	0.823274i	$-0.692145\pi$
$47$	2.67883	−	3.68709i	0.390747	−	0.537817i	0.958392	+	0.285457i	$0.0921452\pi$
$48$	2.19828	+	1.97934i	0.317295	+	0.285694i
$49$	−6.64300	+	2.95765i	−0.948999	+	0.422522i
$50$	−3.05599	+	4.49815i	−0.432183	+	0.636134i
$51$	0.148824	+	0.165286i	0.0208395	+	0.0231447i
$52$	0.872809	−	0.0917359i	0.121037	−	0.0127215i
$53$	1.01316	−	4.76655i	0.139168	−	0.654735i	−0.852155	−	0.523289i	$-0.824705\pi$
$53$	1.01316	−	4.76655i	0.139168	−	0.654735i	0.991323	−	0.131446i	$-0.0419620\pi$
$54$	−1.73622	−	5.34353i	−0.236270	−	0.727163i
$55$	0.412695	+	3.40827i	0.0556477	+	0.459571i
$56$	5.78740	+	10.0241i	0.773374	+	1.33952i
$57$	−11.0457	−	6.37726i	−1.46304	−	0.844689i
$58$	9.64893	+	3.13513i	1.26697	+	0.411662i
$59$	0.0850950	−	0.809625i	0.0110784	−	0.105404i	−0.987585	−	0.157084i	$-0.949791\pi$
$59$	0.0850950	−	0.809625i	0.0110784	−	0.105404i	0.998664	+	0.0516795i	$0.0164574\pi$
$60$	−2.73086	+	1.63465i	−0.352553	+	0.211033i
$61$	7.91042			1.01283			0.506413	−	0.862291i	$-0.330971\pi$
$61$	7.91042			1.01283			0.506413	+	0.862291i	$0.330971\pi$
$62$	−2.15444	+	5.65935i	−0.273614	+	0.718738i
$63$			0.129977i			0.0163756i
$64$	6.51440	−	4.73299i	0.814300	−	0.591624i
$65$	0.462205	−	2.35678i	0.0573295	−	0.292322i
$66$	0.898882	−	2.76647i	0.110645	−	0.340529i
$67$	11.3852	+	6.57324i	1.39092	+	0.803050i	0.993417	−	0.114550i	$-0.0365427\pi$
$67$	11.3852	+	6.57324i	1.39092	+	0.803050i	0.397505	+	0.917600i	$0.369876\pi$
$68$	0.0903509	−	0.0521641i	0.0109567	−	0.00632583i
$69$	−11.6842	+	2.48355i	−1.40661	+	0.298985i
$70$	8.95544	−	2.05175i	1.07038	−	0.245231i
$71$	11.3235	+	2.40688i	1.34385	+	0.285644i	0.823018	−	0.568015i	$-0.192288\pi$
$71$	11.3235	+	2.40688i	1.34385	+	0.285644i	0.520832	+	0.853659i	$0.325622\pi$
$72$	0.104839	−	0.0110190i	0.0123554	−	0.00129860i
$73$	−2.07514	+	1.86847i	−0.242877	+	0.218687i	−0.781575	−	0.623812i	$-0.785583\pi$
$73$	−2.07514	+	1.86847i	−0.242877	+	0.218687i	0.538698	+	0.842499i	$0.318917\pi$
$74$	1.13850	+	0.506893i	0.132348	+	0.0589251i
$75$	2.07879	+	8.45806i	0.240038	+	0.976653i
$76$	−4.00327	+	4.44608i	−0.459206	+	0.510000i
$77$	3.40930	−	4.69250i	0.388526	−	0.534760i
$78$	−1.19607	+	1.64625i	−0.135429	+	0.186402i
$79$	2.44535	−	2.71584i	0.275123	−	0.305555i	−0.589709	−	0.807615i	$-0.700758\pi$
$79$	2.44535	−	2.71584i	0.275123	−	0.305555i	0.864833	+	0.502060i	$0.167424\pi$
$80$	−1.23022	−	3.59235i	−0.137543	−	0.401637i
$81$	−8.31512	−	3.70213i	−0.923902	−	0.411348i
$82$	−0.423647	+	0.381453i	−0.0467839	+	0.0421245i
$83$	−0.316336	+	0.0332482i	−0.0347224	+	0.00364947i	−0.121874	−	0.992546i	$-0.538890\pi$
$83$	−0.316336	+	0.0332482i	−0.0347224	+	0.00364947i	0.0871513	+	0.996195i	$0.472224\pi$
$84$	5.25962	+	1.11797i	0.573872	+	0.121980i
$85$	−0.0637586	−	0.278293i	−0.00691559	−	0.0301851i
$86$	−7.26252	+	1.54370i	−0.783138	+	0.166461i
$87$	14.0724	−	8.12468i	1.50871	−	0.871057i
$88$	−4.07396	−	2.35210i	−0.434285	−	0.250735i
$89$	−4.35898	+	13.4156i	−0.462051	+	1.42205i	0.400603	+	0.916252i	$0.368800\pi$
$89$	−4.35898	+	13.4156i	−0.462051	+	1.42205i	−0.862654	+	0.505794i	$0.831200\pi$
$90$	0.0161031	−	0.0821096i	0.00169742	−	0.00865512i
$91$	−3.28264	+	2.38498i	−0.344114	+	0.250014i
$92$			5.60317i			0.584171i
$93$	4.42710	+	8.62945i	0.459069	+	0.894832i
$94$	4.95678			0.511253
$95$	8.40892	+	14.0480i	0.862737	+	1.44129i
$96$	0.779484	−	7.41629i	0.0795557	−	0.756922i
$97$	3.23873	+	1.05233i	0.328843	+	0.106848i	0.468785	−	0.883312i	$-0.344692\pi$
$97$	3.23873	+	1.05233i	0.328843	+	0.106848i	−0.139942	+	0.990160i	$0.544692\pi$
$98$	−6.84917	−	3.95437i	−0.691871	−	0.399452i
$99$	−0.0264126	−	0.0457479i	−0.00265456	−	0.00459784i
$100$	4.08347	−	0.128916i	0.408347	−	0.0128916i
$101$	−2.80808	−	8.64238i	−0.279414	−	0.859949i	−0.988018	−	0.154342i	$-0.950674\pi$
$101$	−2.80808	−	8.64238i	−0.279414	−	0.859949i	0.708603	−	0.705607i	$-0.249326\pi$
$102$	−0.0502939	+	0.236614i	−0.00497984	+	0.0234283i
$103$	−13.8812	+	1.45897i	−1.36775	+	0.143757i	−0.759769	−	0.650193i	$-0.774688\pi$
$103$	−13.8812	+	1.45897i	−1.36775	+	0.143757i	−0.607984	+	0.793949i	$0.708021\pi$
$104$	2.20199	+	2.44556i	0.215923	+	0.239807i
$105$	7.15548	−	12.8580i	0.698304	−	1.25482i
$106$	4.84176	−	2.15569i	0.470273	−	0.209379i
$107$	−7.83920	−	7.05845i	−0.757844	−	0.682366i	0.196691	−	0.980466i	$-0.436981\pi$
$107$	−7.83920	−	7.05845i	−0.757844	−	0.682366i	−0.954535	+	0.298100i	$0.903647\pi$
$108$	−2.48110	+	3.41493i	−0.238744	+	0.328602i
$109$	−3.91212	−	2.84232i	−0.374713	−	0.272245i	0.384449	−	0.923146i	$-0.374391\pi$
$109$	−3.91212	−	2.84232i	−0.374713	−	0.272245i	−0.759163	+	0.650901i	$0.774391\pi$
$110$	−2.73510	+	2.54197i	−0.260781	+	0.242368i
$111$	1.82346	−	0.811857i	0.173075	−	0.0770580i
$112$	−2.60930	+	5.86059i	−0.246556	+	0.553773i
$113$	−4.09045	+	3.68306i	−0.384797	+	0.346473i	−0.838715	−	0.544570i	$-0.816693\pi$
$113$	−4.09045	+	3.68306i	−0.384797	+	0.346473i	0.453918	+	0.891044i	$0.350026\pi$
$114$	−1.45002	−	13.7960i	−0.135806	−	1.29211i
$115$	14.6560	+	4.50763i	1.36668	+	0.420339i
$116$	−2.35536	−	7.24906i	−0.218690	−	0.673058i
$117$	0.00768313	+	0.0361463i	0.000710306	+	0.00334173i
$118$	0.766785	−	0.442704i	0.0705883	−	0.0407542i
$119$	−0.241175	+	0.417728i	−0.0221085	+	0.0382931i
$120$	−10.9778	−	4.68149i	−1.00213	−	0.427360i
$121$	0.903406	−	8.59533i	0.0821278	−	0.781394i
$122$	5.05699	+	6.96034i	0.457838	+	0.630160i
$123$			0.913048i			0.0823267i
$124$	4.39113	−	1.18966i	0.394335	−	0.106835i
$125$	2.94787	−	10.7847i	0.263665	−	0.964614i
$126$	−0.114367	+	0.0830922i	−0.0101886	+	0.00740244i
$127$	8.13529	+	0.855053i	0.721890	+	0.0758737i	0.458346	−	0.888774i	$-0.348442\pi$
$127$	8.13529	+	0.855053i	0.721890	+	0.0758737i	0.263544	+	0.964647i	$0.415109\pi$
$128$	0.186310	+	0.0605356i	0.0164676	+	0.00535065i
$129$	−5.94588	+	10.2986i	−0.523506	+	0.906738i
$130$	2.36920	−	1.09995i	0.207792	−	0.0964721i
$131$	−14.1697	+	3.01187i	−1.23801	+	0.263148i	−0.779990	−	0.625792i	$-0.784776\pi$
$131$	−14.1697	+	3.01187i	−1.23801	+	0.263148i	−0.458024	+	0.888940i	$0.651443\pi$
$132$	−2.07840	+	0.675313i	−0.180901	+	0.0587784i
$133$	5.75100	−	27.0563i	0.498675	−	2.34608i
$134$	1.49458	+	14.2199i	0.129112	+	1.22842i
$135$	6.93634	+	9.23696i	0.596985	+	0.794991i
$136$	0.357381	+	0.159116i	0.0306452	+	0.0136441i
$137$	2.70554	+	6.07674i	0.231150	+	0.519171i	0.991463	−	0.130385i	$-0.0416214\pi$
$137$	2.70554	+	6.07674i	0.231150	+	0.519171i	−0.760314	+	0.649556i	$0.774955\pi$
$138$	−9.65477	−	8.69319i	−0.821868	−	0.740014i
$139$	3.99597	+	2.90324i	0.338934	+	0.246250i	0.744212	−	0.667944i	$-0.232825\pi$
$139$	3.99597	+	2.90324i	0.338934	+	0.246250i	−0.405278	+	0.914193i	$0.632825\pi$
$140$	−5.20170	−	4.53708i	−0.439624	−	0.383453i
$141$	5.31219	−	5.89979i	0.447367	−	0.496852i
$142$	5.12109	+	11.5022i	0.429753	+	0.965240i
$143$	0.670736	−	1.50650i	0.0560898	−	0.125980i
$144$	0.0390945	+	0.0434188i	0.00325787	+	0.00361823i
$145$	−20.8560	+	0.329131i	−1.73199	+	0.0273328i
$146$	−2.97066	−	0.631432i	−0.245853	−	0.0522577i
$147$	−12.0469	+	3.91429i	−0.993615	+	0.322845i
$148$	−0.194663	−	0.915820i	−0.0160012	−	0.0752799i
$149$	0.934495	+	1.61859i	0.0765568	+	0.132600i	0.901762	−	0.432232i	$-0.142274\pi$
$149$	0.934495	+	1.61859i	0.0765568	+	0.132600i	−0.825205	+	0.564833i	$0.808941\pi$
$150$	−6.11328	+	7.23620i	−0.499147	+	0.590833i
$151$	−4.61386	+	14.2000i	−0.375471	+	1.15558i	0.567690	+	0.823242i	$0.307837\pi$
$151$	−4.61386	+	14.2000i	−0.375471	+	1.15558i	−0.943161	+	0.332337i	$0.892163\pi$
$152$	−22.3110	−	2.34498i	−1.80966	−	0.190203i
$153$	0.00258211	+	0.00355397i	0.000208751	+	0.000287322i
$154$	6.30842			0.508347
$155$	0.420817	−	12.4428i	0.0338008	−	0.999429i
$156$	1.52877			0.122399
$157$	−0.346226	−	0.476539i	−0.0276318	−	0.0380319i	0.794978	−	0.606639i	$-0.207483\pi$
$157$	−0.346226	−	0.476539i	−0.0276318	−	0.0380319i	−0.822609	+	0.568607i	$0.807483\pi$
$158$	3.95292	+	0.415469i	0.314477	+	0.0330529i
$159$	2.62312	−	8.07314i	0.208027	−	0.640242i
$160$	−5.50362	+	7.83205i	−0.435099	+	0.619178i
$161$	−12.9528	−	22.4350i	−1.02083	−	1.76812i
$162$	−2.05822	−	9.68315i	−0.161709	−	0.760780i
$163$	16.8019	−	5.45927i	1.31603	−	0.427603i	0.434898	−	0.900480i	$-0.356784\pi$
$163$	16.8019	−	5.45927i	1.31603	−	0.427603i	0.881129	+	0.472877i	$0.156784\pi$
$164$	0.418926	+	0.0890455i	0.0327126	+	0.00695328i
$165$	0.0943660	+	5.97967i	0.00734639	+	0.465517i
$166$	−0.231483	−	0.257088i	−0.0179665	−	0.0199539i
$167$	3.25923	−	7.32036i	0.252207	−	0.566466i	−0.742426	−	0.669928i	$-0.766325\pi$
$167$	3.25923	−	7.32036i	0.252207	−	0.566466i	0.994633	+	0.103461i	$0.0329918\pi$
$168$	8.20094	+	18.4196i	0.632716	+	1.42110i
$169$	7.92679	−	8.80359i	0.609753	−	0.677199i
$170$	0.204109	−	0.234008i	0.0156544	−	0.0179476i
$171$	−0.203806	−	0.148073i	−0.0155854	−	0.0113235i
$172$	4.14533	+	3.73247i	0.316078	+	0.284598i
$173$	0.550325	+	1.23605i	0.0418404	+	0.0939751i	0.933256	−	0.359211i	$-0.116954\pi$
$173$	0.550325	+	1.23605i	0.0418404	+	0.0939751i	−0.891416	+	0.453186i	$0.850287\pi$
$174$	16.1451	+	7.18825i	1.22395	+	0.544940i
$175$	−16.0521	+	9.95594i	−1.21343	+	0.752598i
$176$	−0.272532	−	2.59297i	−0.0205429	−	0.195453i
$177$	0.294839	−	1.38711i	0.0221615	−	0.104261i
$178$	−14.5909	+	4.74087i	−1.09363	+	0.355343i
$179$	−20.1317	+	4.27912i	−1.50471	+	0.319836i	−0.885222	−	0.465169i	$-0.845994\pi$
$179$	−20.1317	+	4.27912i	−1.50471	+	0.319836i	−0.619490	+	0.785005i	$0.712660\pi$
$180$	−0.0570172	+	0.0264715i	−0.00424981	+	0.00197307i
$181$	5.13668	−	8.89699i	0.381807	−	0.661308i	−0.609514	−	0.792775i	$-0.708635\pi$
$181$	5.13668	−	8.89699i	0.381807	−	0.661308i	0.991321	+	0.131467i	$0.0419687\pi$
$182$	−4.19707	−	1.36371i	−0.311107	−	0.101085i
$183$	13.7041	+	1.44036i	1.01304	+	0.106474i
$184$	−16.9978	+	12.3496i	−1.25309	+	0.910424i
$185$	−2.55208	−	0.227582i	−0.187633	−	0.0167322i
$186$	−4.76285	+	9.41204i	−0.349229	+	0.690124i
$187$		−	0.196036i		−	0.0143356i
$188$	−2.18887	−	3.01273i	−0.159640	−	0.219726i
$189$	2.03995	−	19.4089i	0.148385	−	1.41179i
$190$	−6.98510	+	16.3796i	−0.506752	+	1.18830i
$191$	8.13041	−	14.0823i	0.588296	−	1.01896i	−0.406160	−	0.913802i	$-0.633132\pi$
$191$	8.13041	−	14.0823i	0.588296	−	1.01896i	0.994456	−	0.105157i	$-0.0335344\pi$
$192$	12.1474	−	7.01332i	0.876665	−	0.506143i
$193$	−3.72788	−	17.5383i	−0.268339	−	1.26244i	−0.881389	−	0.472392i	$-0.843391\pi$
$193$	−3.72788	−	17.5383i	−0.268339	−	1.26244i	0.613050	−	0.790044i	$-0.289943\pi$
$194$	1.14452	+	3.52248i	0.0821719	+	0.252899i
$195$	1.22986	−	3.99875i	0.0880721	−	0.286356i
$196$	0.621076	+	5.90914i	0.0443626	+	0.422081i
$197$	−7.20222	+	6.48491i	−0.513137	+	0.462031i	−0.884556	−	0.466435i	$-0.845538\pi$
$197$	−7.20222	+	6.48491i	−0.513137	+	0.462031i	0.371418	+	0.928466i	$0.378872\pi$
$198$	0.0233683	−	0.0524861i	0.00166071	−	0.00373002i
$199$	−7.50277	+	3.34045i	−0.531857	+	0.236798i	−0.655051	−	0.755584i	$-0.727353\pi$
$199$	−7.50277	+	3.34045i	−0.531857	+	0.236798i	0.123194	+	0.992383i	$0.460686\pi$
$200$	9.39120	+	12.1035i	0.664058	+	0.855845i
$201$	18.5270	+	13.4606i	1.30679	+	0.949439i
$202$	5.80924	−	7.99573i	0.408737	−	0.562578i
$203$	26.1885	+	23.5802i	1.83807	+	1.65501i
$204$	0.166023	−	0.0739183i	0.0116240	−	0.00517532i
$205$	0.569930	−	1.02414i	0.0398056	−	0.0715287i
$206$	−10.1577	−	11.2813i	−0.707722	−	0.786005i
$207$	−0.234640	+	0.0246617i	−0.0163086	+	0.00171411i
$208$	−0.379211	+	1.78405i	−0.0262936	+	0.123702i
$209$	3.47392	+	10.6916i	0.240296	+	0.739555i
$210$	15.8881	−	1.92383i	1.09638	−	0.132757i
$211$	−9.98099	−	17.2876i	−0.687119	−	1.19013i	−0.972766	−	0.231791i	$-0.925542\pi$
$211$	−9.98099	−	17.2876i	−0.687119	−	1.19013i	0.285646	−	0.958335i	$-0.407792\pi$
$212$	−3.44831	−	1.99088i	−0.236831	−	0.136734i
$213$	19.1787	+	6.23153i	1.31410	+	0.426978i
$214$	1.19924	−	11.4100i	0.0819785	−	0.779973i
$215$	13.0977	−	7.84011i	0.893257	−	0.534691i
$216$	−15.8280			−1.07696
$217$	−14.8319	+	14.9143i	−1.00685	+	1.01245i
$218$		−	5.25931i		−	0.356205i
$219$	−3.93522	+	2.85910i	−0.265917	+	0.193200i
$220$	2.75281	+	0.539874i	0.185594	+	0.0363983i
$221$	−0.0423776	+	0.130425i	−0.00285063	+	0.00877333i
$222$	1.88005	+	1.08545i	0.126181	+	0.0728506i
$223$	−19.8375	+	11.4532i	−1.32842	+	0.766961i	−0.985055	−	0.172242i	$-0.944899\pi$
$223$	−19.8375	+	11.4532i	−1.32842	+	0.766961i	−0.343361	+	0.939204i	$0.611565\pi$
$224$	15.8189	−	3.36242i	1.05695	−	0.224661i
$225$	0.0233715	+	0.170434i	0.00155810	+	0.0113622i
$226$	−5.85566	−	1.24466i	−0.389513	−	0.0827935i
$227$	−8.45038	+	0.888171i	−0.560872	+	0.0589500i	−0.380723	−	0.924689i	$-0.624325\pi$
$227$	−8.45038	+	0.888171i	−0.560872	+	0.0589500i	−0.180149	+	0.983639i	$0.557658\pi$
$228$	−7.74487	+	6.97351i	−0.512916	+	0.461832i
$229$	−2.36741	−	1.05404i	−0.156443	−	0.0696529i	0.327021	−	0.945017i	$-0.393955\pi$
$229$	−2.36741	−	1.05404i	−0.156443	−	0.0696529i	−0.483464	+	0.875364i	$0.660622\pi$
$230$	5.40309	+	15.7774i	0.356269	+	1.04033i
$231$	6.76075	−	7.50857i	0.444825	−	0.494028i
$232$	16.7994	−	23.1224i	1.10294	−	1.51806i
$233$	3.46582	−	4.77030i	0.227054	−	0.312513i	−0.680257	−	0.732974i	$-0.738132\pi$
$233$	3.46582	−	4.77030i	0.227054	−	0.312513i	0.907311	+	0.420461i	$0.138132\pi$
$234$	−0.0268933	+	0.0298680i	−0.00175807	+	0.00195253i
$235$	−9.64119	+	3.30169i	−0.628922	+	0.215379i
$236$	−0.607681	−	0.270557i	−0.0395567	−	0.0176118i
$237$	4.73086	−	4.25969i	0.307303	−	0.276696i
$238$	−0.521736	+	0.0548367i	−0.0338191	+	0.00355453i
$239$	14.5340	+	3.08929i	0.940124	+	0.199829i	0.652392	−	0.757882i	$-0.273766\pi$
$239$	14.5340	+	3.08929i	0.940124	+	0.199829i	0.287732	+	0.957711i	$0.407099\pi$
$240$	−1.47715	−	6.44743i	−0.0953494	−	0.416180i
$241$	16.6115	−	3.53089i	1.07004	−	0.227445i	0.360969	−	0.932578i	$-0.382446\pi$
$241$	16.6115	−	3.53089i	1.07004	−	0.227445i	0.709075	+	0.705133i	$0.249113\pi$
$242$	8.14053	−	4.69994i	0.523293	−	0.302123i
$243$	−0.309636	−	0.178769i	−0.0198632	−	0.0114680i
$244$	1.99737	−	6.14727i	0.127868	−	0.393538i
$245$	15.9560	+	3.12925i	1.01939	+	0.199920i
$246$	−0.803387	+	0.583695i	−0.0512221	+	0.0372150i
$247$		−	7.86423i		−	0.500389i
$248$	13.2872	+	10.6989i	0.843735	+	0.679378i
$249$	−0.554078			−0.0351133
$250$	11.3739	−	4.30066i	0.719351	−	0.271997i
$251$	−2.92272	+	27.8079i	−0.184481	+	1.75522i	0.375603	+	0.926780i	$0.377435\pi$
$251$	−2.92272	+	27.8079i	−0.184481	+	1.75522i	−0.560084	+	0.828436i	$0.689231\pi$
$252$	0.101007	+	0.0328191i	0.00636283	+	0.00206741i
$253$	9.11797	+	5.26426i	0.573242	+	0.330961i
$254$	4.44838	+	7.70483i	0.279116	+	0.483444i
$255$	−0.0597835	−	0.493727i	−0.00374379	−	0.0309184i
$256$	−4.91072	−	15.1136i	−0.306920	−	0.944603i
$257$	1.71037	−	8.04667i	0.106690	−	0.501937i	−0.892058	−	0.451920i	$-0.850739\pi$
$257$	1.71037	−	8.04667i	0.106690	−	0.501937i	0.998748	−	0.0500171i	$-0.0159276\pi$
$258$	−12.8628	+	1.35193i	−0.800801	+	0.0841675i
$259$	2.89653	+	3.21692i	0.179981	+	0.199890i
$260$	−1.71477	−	0.954266i	−0.106345	−	0.0591811i
$261$	0.293197	−	0.130540i	0.0181485	−	0.00808022i
$262$	−11.7086	−	10.5425i	−0.723358	−	0.651315i
$263$	5.51939	−	7.59679i	0.340340	−	0.468438i	−0.604200	−	0.796832i	$-0.706507\pi$
$263$	5.51939	−	7.59679i	0.340340	−	0.468438i	0.944541	+	0.328394i	$0.106507\pi$
$264$	−6.62949	−	4.81661i	−0.408017	−	0.296442i
$265$	−7.98157	+	7.41800i	−0.490304	+	0.455684i
$266$	27.4833	−	12.2363i	1.68511	−	0.750259i
$267$	−9.99430	+	22.4476i	−0.611641	+	1.37377i
$268$	7.98288	−	7.18781i	0.487632	−	0.439066i
$269$	2.52536	+	24.0272i	0.153974	+	1.46497i	0.749700	+	0.661778i	$0.230198\pi$
$269$	2.52536	+	24.0272i	0.153974	+	1.46497i	−0.595725	+	0.803188i	$0.703135\pi$
$270$	−3.69328	+	12.0083i	−0.224766	+	0.730800i
$271$	4.56950	+	14.0635i	0.277577	+	0.854295i	0.988526	+	0.151051i	$0.0482658\pi$
$271$	4.56950	+	14.0635i	0.277577	+	0.854295i	−0.710949	+	0.703244i	$0.751734\pi$
$272$	0.0450794	+	0.212082i	0.00273334	+	0.0128594i
$273$	−6.12115	+	3.53405i	−0.370469	+	0.213890i
$274$	−3.61730	+	6.26534i	−0.218529	+	0.378503i
$275$	3.62670	−	6.76610i	0.218698	−	0.408011i
$276$	−1.02025	+	9.70700i	−0.0614117	+	0.584293i
$277$	11.2091	+	15.4280i	0.673487	+	0.926976i	0.999833	−	0.0182747i	$-0.00581735\pi$
$277$	11.2091	+	15.4280i	0.673487	+	0.926976i	−0.326346	+	0.945250i	$0.605817\pi$
$278$			5.37203i			0.322193i
$279$	0.0691457	+	0.178648i	0.00413964	+	0.0106954i
$280$	2.29891	−	25.7797i	0.137386	−	1.54063i
$281$	−18.2904	+	13.2887i	−1.09111	+	0.792739i	−0.979587	−	0.201023i	$-0.935574\pi$
$281$	−18.2904	+	13.2887i	−1.09111	+	0.792739i	−0.111525	+	0.993762i	$0.535574\pi$
$282$	8.58718	+	0.902549i	0.511359	+	0.0537460i
$283$	−3.72301	−	1.20968i	−0.221310	−	0.0719081i	0.196263	−	0.980551i	$-0.437119\pi$
$283$	−3.72301	−	1.20968i	−0.221310	−	0.0719081i	−0.417573	+	0.908643i	$0.637119\pi$
$284$	4.72957	−	8.19186i	0.280649	−	0.486098i
$285$	12.0098	+	25.8680i	0.711399	+	1.53229i
$286$	1.75435	−	0.372899i	0.103737	−	0.0220500i
$287$	−1.88322	+	0.611894i	−0.111163	+	0.0361190i
$288$	0.0306228	−	0.144069i	0.00180447	−	0.00848935i
$289$	−1.77528	−	16.8907i	−0.104428	−	0.993568i
$290$	−13.6224	−	18.1407i	−0.799937	−	1.06526i
$291$	5.41920	+	2.41278i	0.317679	+	0.141440i
$292$	0.928034	+	2.08440i	0.0543091	+	0.121980i
$293$	−11.4768	−	10.3338i	−0.670483	−	0.603706i	0.261936	−	0.965085i	$-0.415639\pi$
$293$	−11.4768	−	10.3338i	−0.670483	−	0.603706i	−0.932419	+	0.361380i	$0.882306\pi$
$294$	−11.1456	−	8.09772i	−0.650022	−	0.472269i
$295$	−1.19655	+	1.37183i	−0.0696660	+	0.0798712i
$296$	2.34918	−	2.60903i	0.136543	−	0.151647i
$297$	3.22605	+	7.24583i	0.187195	+	0.420446i
$298$	−0.826788	+	1.85700i	−0.0478945	+	0.107573i
$299$	−4.92830	−	5.47343i	−0.285011	−	0.316537i
$300$	7.09773	+	0.520199i	0.409788	+	0.0300337i
$301$	−25.2262	−	5.36199i	−1.45401	−	0.309060i
$302$	−15.4441	+	5.01809i	−0.888707	+	0.288758i
$303$	−3.29111	−	15.4835i	−0.189069	−	0.889502i
$304$	−6.21686	−	10.7679i	−0.356561	−	0.617583i
$305$	−14.4724	−	10.1698i	−0.828685	−	0.582320i
$306$	−0.00147643	+	0.00454398i	−8.44018e−5	+	0.000259762i
$307$	−11.3269	−	1.19051i	−0.646461	−	0.0679458i	−0.224377	−	0.974502i	$-0.572035\pi$
$307$	−11.3269	−	1.19051i	−0.646461	−	0.0679458i	−0.422084	+	0.906557i	$0.638701\pi$
$308$	−2.78575	−	3.83425i	−0.158733	−	0.218477i
$309$	−24.3136			−1.38315
$310$	11.2174	−	7.58417i	0.637104	−	0.430752i
$311$	−12.6107			−0.715087			−0.357544	−	0.933896i	$-0.616386\pi$
$311$	−12.6107			−0.715087			−0.357544	+	0.933896i	$0.616386\pi$
$312$	3.36946	+	4.63766i	0.190758	+	0.262556i
$313$	−24.7053	−	2.59663i	−1.39643	−	0.146770i	−0.623777	−	0.781602i	$-0.714403\pi$
$313$	−24.7053	−	2.59663i	−1.39643	−	0.146770i	−0.772651	+	0.634832i	$0.781069\pi$
$314$	0.197969	−	0.609285i	0.0111720	−	0.0343839i
$315$	0.167102	−	0.237798i	0.00941511	−	0.0133984i
$316$	−1.49306	−	2.58605i	−0.0839910	−	0.145477i
$317$	3.70047	+	17.4093i	0.207839	+	0.977805i	0.951119	+	0.308825i	$0.0999357\pi$
$317$	3.70047	+	17.4093i	0.207839	+	0.977805i	−0.743280	+	0.668981i	$0.766731\pi$
$318$	8.78044	−	2.85294i	0.492383	−	0.159985i
$319$	−14.0092	−	2.97775i	−0.784365	−	0.166722i
$320$	−18.0031	+	0.284110i	−1.00641	+	0.0158822i
$321$	−12.2955	−	13.6555i	−0.686268	−	0.762178i
$322$	11.4599	−	25.7394i	0.638637	−	1.43440i
$323$	−0.380248	−	0.854050i	−0.0211575	−	0.0475206i
$324$	−4.97652	+	5.52698i	−0.276473	+	0.307055i
$325$	−3.87554	+	3.71757i	−0.214976	+	0.206214i
$326$	15.5447	+	11.2939i	0.860944	+	0.625512i
$327$	−6.25987	−	5.63641i	−0.346172	−	0.311694i
$328$	0.653200	+	1.46711i	0.0360669	+	0.0810077i
$329$	15.7287	+	7.00288i	0.867152	+	0.386081i
$330$	−5.20116	+	3.90573i	−0.286315	+	0.215003i
$331$	3.08714	+	29.3721i	0.169684	+	1.61444i	0.665765	+	0.746162i	$0.268105\pi$
$331$	3.08714	+	29.3721i	0.169684	+	1.61444i	−0.496080	+	0.868277i	$0.665228\pi$
$332$	−0.0540368	+	0.254223i	−0.00296565	+	0.0139523i
$333$	0.0374944	−	0.0121827i	0.00205468	−	0.000667606i
$334$	8.52472	−	1.81199i	0.466452	−	0.0991474i
$335$	−12.3789	−	26.6630i	−0.676330	−	1.45675i
$336$	−5.58750	+	9.67784i	−0.304823	+	0.527969i
$337$	−32.4038	−	10.5286i	−1.76515	−	0.573532i	−0.767436	−	0.641126i	$-0.778468\pi$
$337$	−32.4038	−	10.5286i	−1.76515	−	0.573532i	−0.997713	+	0.0675941i	$0.978468\pi$
$338$	12.8137	+	1.34677i	0.696973	+	0.0732548i
$339$	−7.75698	+	5.63577i	−0.421301	+	0.306093i
$340$	−0.232363	−	0.0207210i	−0.0126017	−	0.00112375i
$341$	2.18961	−	8.26333i	0.118574	−	0.447485i
$342$		−	0.273988i		−	0.0148156i
$343$	−0.603236	−	0.830283i	−0.0325717	−	0.0448311i
$344$	−2.18635	+	20.8018i	−0.117880	+	1.12156i
$345$	24.5695	+	10.4777i	1.32278	+	0.564100i
$346$	−0.735782	+	1.27441i	−0.0395559	+	0.0685128i
$347$	15.3771	−	8.87799i	0.825488	−	0.476596i	−0.0268173	−	0.999640i	$-0.508537\pi$
$347$	15.3771	−	8.87799i	0.825488	−	0.476596i	0.852305	+	0.523045i	$0.175204\pi$
$348$	−2.76052	−	12.9872i	−0.147980	−	0.696189i
$349$	−0.0424351	−	0.130602i	−0.00227150	−	0.00699096i	0.949914	−	0.312510i	$-0.101170\pi$
$349$	−0.0424351	−	0.130602i	−0.00227150	−	0.00699096i	−0.952186	+	0.305519i	$0.901170\pi$
$350$	−19.0220	−	7.75956i	−1.01677	−	0.414766i
$351$	−0.579978	−	5.51812i	−0.0309570	−	0.294536i
$352$	−4.88449	+	4.39801i	−0.260344	+	0.234415i
$353$	−11.5104	+	25.8527i	−0.612635	+	1.37600i	0.294699	+	0.955590i	$0.404780\pi$
$353$	−11.5104	+	25.8527i	−0.612635	+	1.37600i	−0.907334	+	0.420410i	$0.861886\pi$
$354$	1.40900	−	0.627326i	0.0748873	−	0.0333420i
$355$	−17.6223	−	18.9612i	−0.935297	−	1.00635i
$356$	9.32473	+	6.77481i	0.494210	+	0.359064i
$357$	−0.493877	+	0.679763i	−0.0261387	+	0.0359769i
$358$	−16.6350	−	14.9782i	−0.879187	−	0.791623i
$359$	13.6187	−	6.06346i	0.718770	−	0.320017i	−0.0145561	−	0.999894i	$-0.504634\pi$
$359$	13.6187	−	6.06346i	0.718770	−	0.320017i	0.733326	+	0.679877i	$0.237967\pi$
$360$	−0.205972	−	0.114623i	−0.0108557	−	0.00604116i
$361$	23.1594	+	25.7211i	1.21891	+	1.35374i
$362$	11.1122	−	1.16794i	0.584045	−	0.0613856i
$363$	3.13014	−	14.7262i	0.164290	−	0.772923i
$364$	1.02453	+	3.15318i	0.0536999	+	0.165271i
$365$	6.19867	−	0.750574i	0.324453	−	0.0392868i
$366$	7.49342	+	12.9790i	0.391687	+	0.678422i
$367$	−9.65907	−	5.57667i	−0.504199	−	0.291100i	0.226247	−	0.974070i	$-0.427354\pi$
$367$	−9.65907	−	5.57667i	−0.504199	−	0.291100i	−0.730446	+	0.682970i	$0.760688\pi$
$368$	−11.0748	−	3.59844i	−0.577316	−	0.187581i
$369$	−0.00188505	+	0.0179350i	−9.81316e−5	+	0.000933660i
$370$	−1.43125	−	2.39105i	−0.0744071	−	0.124305i
$371$	18.4093			0.955762
$372$	7.82387	−	1.26143i	0.405649	−	0.0654019i
$373$			1.56719i			0.0811461i	0.999177	+	0.0405730i	$0.0129183\pi$
$373$			1.56719i			0.0811461i	−0.999177	+	0.0405730i	$0.987082\pi$
$374$	0.172491	−	0.125322i	0.00891930	−	0.00648025i
$375$	7.07064	−	18.1468i	0.365126	−	0.937097i
$376$	4.31504	−	13.2803i	0.222531	−	0.684880i
$377$	8.67678	+	5.00954i	0.446877	+	0.258004i
$378$	18.3819	−	10.6128i	0.945462	−	0.545863i
$379$	28.3941	−	6.03536i	1.45851	−	0.310015i	0.590690	−	0.806898i	$-0.298856\pi$
$379$	28.3941	−	6.03536i	1.45851	−	0.310015i	0.867818	+	0.496883i	$0.165522\pi$
$380$	13.0401	−	2.98756i	0.668941	−	0.153259i
$381$	13.9380	+	2.96261i	0.714064	+	0.151779i
$382$	17.5886	−	1.84863i	0.899910	−	0.0945843i
$383$	−11.1405	+	10.0310i	−0.569254	+	0.512558i	−0.902734	−	0.430199i	$-0.858444\pi$
$383$	−11.1405	+	10.0310i	−0.569254	+	0.512558i	0.333481	+	0.942757i	$0.391777\pi$
$384$	0.311742	+	0.138797i	0.0159085	+	0.00708294i
$385$	−12.2702	+	4.20201i	−0.625347	+	0.214154i
$386$	13.0487	−	14.4921i	0.664163	−	0.737627i
$387$	−0.138057	+	0.190019i	−0.00701784	+	0.00965923i
$388$	1.63555	−	2.25114i	0.0830323	−	0.114284i
$389$	−0.00344244	+	0.00382322i	−0.000174539	+	0.000193845i	−0.743232	−	0.669034i	$-0.766708\pi$
$389$	−0.00344244	+	0.00382322i	−0.000174539	+	0.000193845i	0.743058	+	0.669228i	$0.233375\pi$
$390$	4.30471	−	1.47418i	0.217977	−	0.0746478i
$391$	−0.799859	−	0.356120i	−0.0404506	−	0.0180098i
$392$	−16.5571	+	14.9081i	−0.836258	+	0.752970i
$393$	−25.0962	+	2.63772i	−1.26594	+	0.133055i
$394$	−10.3103	−	2.19152i	−0.519425	−	0.110407i
$395$	−7.96537	+	1.82492i	−0.400781	+	0.0918215i
$396$	−0.0422203	+	0.00897420i	−0.00212165	+	0.000450970i
$397$	12.5644	−	7.25406i	0.630590	−	0.364071i	−0.150391	−	0.988627i	$-0.548053\pi$
$397$	12.5644	−	7.25406i	0.630590	−	0.364071i	0.780980	+	0.624556i	$0.214720\pi$
$398$	−7.73563	−	4.46617i	−0.387752	−	0.223869i
$399$	14.8896	−	45.8256i	0.745414	−	2.29415i
$400$	−2.36766	+	8.15391i	−0.118383	+	0.407695i
$401$	22.6217	−	16.4356i	1.12967	−	0.820754i	0.144024	−	0.989574i	$-0.453996\pi$
$401$	22.6217	−	16.4356i	1.12967	−	0.820754i	0.985647	+	0.168820i	$0.0539956\pi$
$402$			24.9069i			1.24224i
$403$	−3.24308	+	5.02436i	−0.161550	+	0.250281i
$404$	−7.42512			−0.369413
$405$	10.4532	+	17.4632i	0.519426	+	0.867756i
$406$	−4.00631	+	38.1175i	−0.198830	+	1.89174i
$407$	−1.67319	−	0.543653i	−0.0829370	−	0.0269479i
$408$	0.590159	+	0.340729i	0.0292172	+	0.0168686i
$409$	−4.09207	−	7.08767i	−0.202340	−	0.350463i	0.746942	−	0.664889i	$-0.231521\pi$
$409$	−4.09207	−	7.08767i	−0.202340	−	0.350463i	−0.949282	+	0.314426i	$0.898188\pi$
$410$	1.26548	−	0.153232i	0.0624975	−	0.00756759i
$411$	3.58063	+	11.0201i	0.176620	+	0.543579i
$412$	−2.37119	+	11.1556i	−0.116820	+	0.549597i
$413$	3.05859	−	0.321471i	0.150503	−	0.0158185i
$414$	−0.171701	−	0.190693i	−0.00843865	−	0.00937207i
$415$	0.621491	+	0.345859i	0.0305078	+	0.0169775i
$416$	4.20044	−	1.87016i	0.205943	−	0.0916919i
$417$	6.39403	+	5.75721i	0.313117	+	0.281932i
$418$	−7.18670	+	9.89164i	−0.351513	+	0.483816i
$419$	−2.63067	−	1.91129i	−0.128516	−	0.0933727i	0.521670	−	0.853147i	$-0.325309\pi$
$419$	−2.63067	−	1.91129i	−0.128516	−	0.0933727i	−0.650186	+	0.759775i	$0.725309\pi$
$420$	−8.18536	−	8.80723i	−0.399405	−	0.429749i
$421$	−17.7268	+	7.89248i	−0.863952	+	0.384656i	−0.790368	−	0.612633i	$-0.790110\pi$
$421$	−17.7268	+	7.89248i	−0.863952	+	0.384656i	−0.0735843	+	0.997289i	$0.523444\pi$
$422$	8.83061	−	19.8339i	0.429867	−	0.965497i
$423$	0.116528	−	0.104922i	0.00566578	−	0.00510149i
$424$	−1.56067	−	14.8488i	−0.0757927	−	0.721119i
$425$	−0.241130	+	0.591114i	−0.0116965	+	0.0286733i
$426$	6.77749	+	20.8590i	0.328370	+	1.01062i
$427$	6.21320	+	29.2308i	0.300678	+	1.41458i
$428$	−7.46458	+	4.30968i	−0.360814	+	0.208316i
$429$	1.43630	−	2.48774i	0.0693452	−	0.120109i
$430$	15.2716	+	6.51260i	0.736463	+	0.314065i
$431$	−3.13268	+	29.8055i	−0.150896	+	1.43568i	0.612869	+	0.790184i	$0.290015\pi$
$431$	−3.13268	+	29.8055i	−0.150896	+	1.43568i	−0.763765	+	0.645494i	$0.776652\pi$
$432$	−5.15633	−	7.09708i	−0.248084	−	0.341459i
$433$		−	24.3900i		−	1.17211i	−0.810272	−	0.586053i	$-0.800681\pi$
$433$		−	24.3900i		−	1.17211i	0.810272	−	0.586053i	$-0.199319\pi$
$434$	−22.6048	−	3.51603i	−1.08507	−	0.168775i
$435$	−36.1910	−	3.22734i	−1.73523	−	0.154739i
$436$	−3.19660	+	2.32247i	−0.153090	+	0.111226i
$437$	49.9344	+	5.24831i	2.38869	+	0.251061i
$438$	−5.03143	−	1.63481i	−0.240411	−	0.0781142i
$439$	−4.78132	+	8.28149i	−0.228200	+	0.395254i	−0.957275	−	0.289180i	$-0.906617\pi$
$439$	−4.78132	+	8.28149i	−0.228200	+	0.395254i	0.729075	+	0.684434i	$0.239951\pi$
$440$	4.42953	+	9.54080i	0.211169	+	0.454840i
$441$	−0.244720	+	0.0520168i	−0.0116533	+	0.00247699i
$442$	−0.141852	+	0.0460904i	−0.00674719	+	0.00219230i
$443$	0.0795386	−	0.374200i	0.00377899	−	0.0177788i	−0.976218	−	0.216792i	$-0.930441\pi$
$443$	0.0795386	−	0.374200i	0.00377899	−	0.0177788i	0.979997	+	0.199014i	$0.0637738\pi$
$444$	−0.170481	−	1.62202i	−0.00809069	−	0.0769778i
$445$	25.2222	−	18.9402i	1.19565	−	0.897851i
$446$	−22.7593	−	10.1331i	−1.07769	−	0.479817i
$447$	1.32421	+	2.97423i	0.0626330	+	0.140676i
$448$	22.6062	+	20.3547i	1.06804	+	0.961670i
$449$	−7.12378	−	5.17573i	−0.336192	−	0.244258i	0.406862	−	0.913490i	$-0.366623\pi$
$449$	−7.12378	−	5.17573i	−0.336192	−	0.244258i	−0.743053	+	0.669232i	$0.766623\pi$
$450$	−0.135023	+	0.129520i	−0.00636504	+	0.00610561i
$451$	0.538490	−	0.598053i	0.0253565	−	0.0281612i
$452$	1.82931	+	4.10870i	0.0860435	+	0.193257i
$453$	−10.5787	+	23.7601i	−0.497031	+	1.11635i
$454$	−6.18368	−	6.86767i	−0.290214	−	0.322316i
$455$	9.07187	−	0.143164i	0.425296	−	0.00671165i
$456$	−38.2248	−	8.12493i	−1.79004	−	0.380485i
$457$	−14.3664	+	4.66792i	−0.672032	+	0.218356i	−0.625103	−	0.780542i	$-0.714943\pi$
$457$	−14.3664	+	4.66792i	−0.672032	+	0.218356i	−0.0469282	+	0.998898i	$0.514943\pi$
$458$	−0.585998	−	2.75690i	−0.0273819	−	0.128822i
$459$	−0.329795	−	0.571222i	−0.0153935	−	0.0266624i
$460$	7.20355	−	10.2512i	0.335867	−	0.477964i
$461$	6.42556	−	19.7758i	0.299268	−	0.921052i	−0.682486	−	0.730898i	$-0.739101\pi$
$461$	6.42556	−	19.7758i	0.299268	−	0.921052i	0.981754	−	0.190154i	$-0.0608987\pi$
$462$	10.9288	+	1.14866i	0.508453	+	0.0534406i
$463$	22.8059	+	31.3896i	1.05988	+	1.45880i	0.879918	+	0.475126i	$0.157597\pi$
$463$	22.8059	+	31.3896i	1.05988	+	1.45880i	0.179962	+	0.983674i	$0.442403\pi$
$464$	15.8406			0.735384
$465$	2.99466	−	21.4794i	0.138874	−	0.996084i
$466$	6.41301			0.297077
$467$	−18.0010	−	24.7763i	−0.832989	−	1.14651i	−0.987359	−	0.158498i	$-0.949335\pi$
$467$	−18.0010	−	24.7763i	−0.832989	−	1.14651i	0.154371	−	0.988013i	$-0.450665\pi$
$468$	0.0300296	+	0.00315624i	0.00138812	+	0.000145897i
$469$	−15.3472	+	47.2339i	−0.708668	+	2.18106i
$470$	−9.06858	−	6.37253i	−0.418302	−	0.293943i
$471$	−0.513035	−	0.888604i	−0.0236394	−	0.0409447i
$472$	−0.518590	−	2.43978i	−0.0238701	−	0.112300i
$473$	9.96840	−	3.23893i	0.458347	−	0.148926i
$474$	6.77244	+	1.43953i	0.311068	+	0.0661196i
$475$	2.67599	−	36.5119i	0.122783	−	1.67528i
$476$	0.263724	+	0.292895i	0.0120878	+	0.0134248i
$477$	0.0681936	−	0.153165i	0.00312237	−	0.00701296i
$478$	6.57304	+	14.7633i	0.300644	+	0.675258i
$479$	−17.6123	+	19.5605i	−0.804727	+	0.893740i	−0.996141	−	0.0877694i	$-0.972026\pi$
$479$	−17.6123	+	19.5605i	−0.804727	+	0.893740i	0.191414	+	0.981509i	$0.438693\pi$
$480$	−10.9606	+	12.5662i	−0.500282	+	0.573567i
$481$	0.995670	+	0.723397i	0.0453987	+	0.0329841i
$482$	13.7263	+	12.3592i	0.625215	+	0.562946i
$483$	−18.3546	−	41.2251i	−0.835164	−	1.87581i
$484$	−6.45141	−	2.87235i	−0.293246	−	0.130561i
$485$	−4.57246	−	6.08904i	−0.207625	−	0.276489i
$486$	−0.0406471	−	0.386731i	−0.00184379	−	0.0175425i
$487$	5.48025	−	25.7826i	0.248334	−	1.16832i	−0.660390	−	0.750923i	$-0.729609\pi$
$487$	5.48025	−	25.7826i	0.248334	−	1.16832i	0.908724	−	0.417397i	$-0.137058\pi$
$488$	23.0506	−	7.48959i	1.04345	−	0.339038i
$489$	30.1019	−	6.39835i	1.36125	−	0.289343i
$490$	7.44695	+	16.0401i	0.336419	+	0.724617i
$491$	−0.297284	+	0.514912i	−0.0134163	+	0.0232376i	−0.872656	−	0.488336i	$-0.837604\pi$
$491$	−0.297284	+	0.514912i	−0.0134163	+	0.0232376i	0.859239	+	0.511574i	$0.170937\pi$
$492$	0.709539	+	0.230543i	0.0319885	+	0.0103937i
$493$	1.18451	+	0.124497i	0.0533477	+	0.00560707i
$494$	6.91970	−	5.02746i	0.311332	−	0.226196i
$495$	−0.0104918	+	0.117654i	−0.000471571	+	0.00528814i
$496$	−0.468646	+	9.44323i	−0.0210428	+	0.424013i
$497$			43.7334i			1.96171i
$498$	−0.354212	−	0.487531i	−0.0158726	−	0.0218468i
$499$	1.79090	−	17.0393i	0.0801716	−	0.762782i	−0.878399	−	0.477928i	$-0.841388\pi$
$499$	1.79090	−	17.0393i	0.0801716	−	0.762782i	0.958571	−	0.284854i	$-0.0919453\pi$
$500$	−7.63658	−	5.01394i	−0.341518	−	0.224230i
$501$	6.97925	−	12.0884i	0.311810	−	0.540071i
$502$	−26.3365	+	15.2054i	−1.17545	+	0.678649i
$503$	−2.69578	−	12.6826i	−0.120199	−	0.565491i	−0.996490	−	0.0837096i	$-0.973323\pi$
$503$	−2.69578	−	12.6826i	−0.120199	−	0.565491i	0.876291	−	0.481782i	$-0.160010\pi$
$504$	0.123063	+	0.378748i	0.00548165	+	0.0168708i
$505$	−5.97334	+	19.4216i	−0.265810	+	0.864251i
$506$	1.19695	+	11.3882i	0.0532109	+	0.506268i
$507$	15.3354	−	13.8081i	0.681071	−	0.613239i
$508$	2.71862	−	6.10612i	0.120619	−	0.270915i
$509$	−0.203589	+	0.0906436i	−0.00902392	+	0.00401771i	−0.411244	−	0.911525i	$-0.634905\pi$
$509$	−0.203589	+	0.0906436i	−0.00902392	+	0.00401771i	0.402220	+	0.915543i	$0.368239\pi$
$510$	0.396210	−	0.368234i	0.0175445	−	0.0163057i
$511$	−8.53433	−	6.20055i	−0.377536	−	0.274296i
$512$	10.3894	−	14.2998i	0.459151	−	0.631967i
$513$	28.1093	+	25.3097i	1.24105	+	1.11745i
$514$	8.17364	−	3.63914i	0.360524	−	0.160516i
$515$	27.2717	+	15.1767i	1.20174	+	0.668764i
$516$	6.50180	+	7.22098i	0.286226	+	0.317886i
$517$	−6.95905	+	0.731426i	−0.306059	+	0.0321681i
$518$	−0.978857	+	4.60516i	−0.0430085	+	0.202339i
$519$	0.728324	+	2.24155i	0.0319699	+	0.0983932i
$520$	−0.884553	−	7.30515i	−0.0387902	−	0.320352i
$521$	−0.492612	−	0.853229i	−0.0215817	−	0.0373806i	0.855033	−	0.518574i	$-0.173537\pi$
$521$	−0.492612	−	0.853229i	−0.0215817	−	0.0373806i	−0.876615	+	0.481193i	$0.840204\pi$
$522$	0.302297	+	0.174531i	0.0132312	+	0.00763903i
$523$	6.86578	+	2.23083i	0.300220	+	0.0975473i	0.455253	−	0.890362i	$-0.349549\pi$
$523$	6.86578	+	2.23083i	0.300220	+	0.0975473i	−0.155034	+	0.987909i	$0.549549\pi$
$524$	−1.23728	+	11.7719i	−0.0540508	+	0.514259i
$525$	−29.6217	+	14.3250i	−1.29280	+	0.625192i
$526$	10.2128			0.445301
$527$	−0.109261	+	0.702450i	−0.00475950	+	0.0305992i
$528$		−	4.54172i		−	0.197653i
$529$	19.4355	−	14.1207i	0.845021	−	0.613944i
$530$	−11.6295	−	2.28076i	−0.505155	−	0.0990698i
$531$	0.00865531	−	0.0266383i	0.000375608	−	0.00115600i
$532$	−19.5736	−	11.3008i	−0.848625	−	0.489954i
$533$	−0.487546	+	0.281485i	−0.0211180	+	0.0121925i
$534$	−26.1407	+	5.55638i	−1.13122	+	0.240448i
$535$	5.26758	+	22.9919i	0.227737	+	0.994026i
$536$	39.3995	+	8.37462i	1.70180	+	0.361728i
$537$	−35.6555	+	3.74754i	−1.53865	+	0.161718i
$538$	−19.5270	+	17.5822i	−0.841871	+	0.758024i
$539$	10.1994	+	4.54106i	0.439318	+	0.195597i
$540$	8.92955	−	3.05798i	0.384266	−	0.131595i
$541$	6.98284	−	7.75524i	0.300216	−	0.333424i	−0.574096	−	0.818788i	$-0.694646\pi$
$541$	6.98284	−	7.75524i	0.300216	−	0.333424i	0.874312	+	0.485364i	$0.161313\pi$
$542$	−9.45319	+	13.0112i	−0.406049	+	0.558879i
$543$	10.5188	−	14.4780i	0.451407	−	0.621308i
$544$	0.365740	−	0.406195i	0.0156810	−	0.0174155i
$545$	3.50320	+	10.2296i	0.150061	+	0.438189i
$546$	−7.02274	−	3.12673i	−0.300546	−	0.133811i
$547$	3.11714	−	2.80668i	0.133279	−	0.120005i	−0.599795	−	0.800153i	$-0.704751\pi$
$547$	3.11714	−	2.80668i	0.133279	−	0.120005i	0.733074	+	0.680148i	$0.238085\pi$
$548$	5.40544	−	0.568135i	0.230909	−	0.0242695i
$549$	0.266216	+	0.0565860i	0.0113618	+	0.00241503i
$550$	8.27195	−	1.13433i	0.352717	−	0.0483679i
$551$	−66.8084	+	14.2006i	−2.84613	+	0.604964i
$552$	−31.6958	+	18.2996i	−1.34906	+	0.778881i
$553$	11.9563	+	6.90299i	0.508435	+	0.293545i
$554$	−6.40924	+	19.7256i	−0.272303	+	0.838061i
$555$	−4.37982	−	0.858959i	−0.185913	−	0.0364608i
$556$	3.26511	−	2.37224i	0.138472	−	0.100606i
$557$		−	31.5997i		−	1.33892i	−0.742847	−	0.669461i	$-0.766525\pi$
$557$		−	31.5997i		−	1.33892i	0.742847	−	0.669461i	$-0.233475\pi$
$558$	−0.112988	+	0.175048i	−0.00478318	+	0.00741036i
$559$	−7.33226			−0.310122
$560$	12.3083	−	7.36756i	0.520120	−	0.311336i
$561$	0.0356949	−	0.339615i	0.00150704	−	0.0143385i
$562$	−23.3854	−	7.59837i	−0.986453	−	0.320518i
$563$	13.4826	+	7.78418i	0.568224	+	0.328064i	0.756440	−	0.654064i	$-0.226937\pi$
$563$	13.4826	+	7.78418i	0.568224	+	0.328064i	−0.188216	+	0.982128i	$0.560270\pi$
$564$	−3.24346	−	5.61784i	−0.136574	−	0.236554i
$565$	12.2186	−	1.47951i	0.514041	−	0.0622433i
$566$	−1.31566	−	4.04919i	−0.0553014	−	0.170200i
$567$	7.14915	−	33.6341i	0.300236	−	1.41250i
$568$	35.2750	−	3.70755i	1.48010	−	0.155565i
$569$	9.46389	+	10.5107i	0.396747	+	0.440632i	0.908109	−	0.418733i	$-0.137526\pi$
$569$	9.46389	+	10.5107i	0.396747	+	0.440632i	−0.511363	+	0.859365i	$0.670859\pi$
$570$	−15.0835	+	27.1043i	−0.631779	+	1.13528i
$571$	27.9315	−	12.4359i	1.16890	−	0.520427i	0.271841	−	0.962342i	$-0.412368\pi$
$571$	27.9315	−	12.4359i	1.16890	−	0.520427i	0.897057	+	0.441916i	$0.145701\pi$
$572$	−1.00135	−	0.901624i	−0.0418687	−	0.0376988i
$573$	16.6494	−	22.9159i	0.695538	−	0.957326i
$574$	−1.74231	−	1.26586i	−0.0727226	−	0.0528361i
$575$	−21.0186	−	27.0889i	−0.876534	−	1.12969i
$576$	0.253092	−	0.112684i	0.0105455	−	0.00469515i
$577$	17.0731	−	38.3469i	0.710764	−	1.59640i	−0.0889614	−	0.996035i	$-0.528355\pi$
$577$	17.0731	−	38.3469i	0.710764	−	1.59640i	0.799725	−	0.600366i	$-0.204979\pi$
$578$	13.7271	−	12.3600i	0.570973	−	0.514106i
$579$	−3.26479	−	31.0624i	−0.135680	−	1.29091i
$580$	−5.01032	+	16.2905i	−0.208042	+	0.676425i
$581$	−0.371325	−	1.14282i	−0.0154051	−	0.0474122i
$582$	1.34140	+	6.31078i	0.0556027	+	0.261590i
$583$	−6.47947	+	3.74093i	−0.268352	+	0.154933i
$584$	−4.27780	+	7.40937i	−0.177017	+	0.306602i
$585$	0.0324139	−	0.0760083i	0.00134015	−	0.00314256i
$586$	1.75572	−	16.7046i	0.0725283	−	0.690061i
$587$	−21.3703	−	29.4137i	−0.882048	−	1.21403i	−0.975850	−	0.218444i	$-0.929902\pi$
$587$	−21.3703	−	29.4137i	−0.882048	−	1.21403i	0.0938019	−	0.995591i	$-0.470098\pi$
$588$			10.3502i			0.426833i
$589$	−6.48898	−	40.2472i	−0.267374	−	1.65836i
$590$	−1.97201	−	0.175854i	−0.0811862	−	0.00723979i
$591$	−13.6580	+	9.92313i	−0.561816	+	0.408183i
$592$	1.93516	+	0.203394i	0.0795347	+	0.00835943i
$593$	−7.18640	−	2.33500i	−0.295110	−	0.0958871i	0.157720	−	0.987484i	$-0.449586\pi$
$593$	−7.18640	−	2.33500i	−0.295110	−	0.0958871i	−0.452830	+	0.891597i	$0.649586\pi$
$594$	−4.31322	+	7.47072i	−0.176974	+	0.306527i
$595$	0.978277	−	0.454186i	0.0401054	−	0.0186198i
$596$	1.49378	−	0.317514i	0.0611878	−	0.0130059i
$597$	−13.6061	+	4.42090i	−0.556862	+	0.180935i
$598$	1.66548	−	7.83546i	0.0681065	−	0.320416i
$599$	−0.0326915	−	0.311039i	−0.00133574	−	0.0127087i	0.993834	−	0.110881i	$-0.0353671\pi$
$599$	−0.0326915	−	0.311039i	−0.00133574	−	0.0127087i	−0.995169	+	0.0981720i	$0.968700\pi$
$600$	14.0656	+	22.6782i	0.574225	+	0.925833i
$601$	−26.6831	−	11.8801i	−1.08842	−	0.484598i	−0.217523	−	0.976055i	$-0.569798\pi$
$601$	−26.6831	−	11.8801i	−1.08842	−	0.484598i	−0.870902	+	0.491457i	$0.836464\pi$
$602$	−11.4086	−	25.6242i	−0.464981	−	1.04436i
$603$	0.336135	+	0.302658i	0.0136885	+	0.0123252i
$604$	9.86997	+	7.17095i	0.401603	+	0.291782i
$605$	−12.7031	+	14.5640i	−0.516456	+	0.592110i
$606$	11.5199	−	12.7941i	0.467964	−	0.519726i
$607$	6.95590	+	15.6232i	0.282331	+	0.634127i	0.997925	−	0.0643903i	$-0.0205103\pi$
$607$	6.95590	+	15.6232i	0.282331	+	0.634127i	−0.715593	+	0.698517i	$0.753844\pi$
$608$	−12.7490	+	28.6347i	−0.517041	+	1.16129i
$609$	41.0756	+	45.6191i	1.66447	+	1.84858i
$610$	−0.303558	−	19.2355i	−0.0122907	−	0.778824i
$611$	4.78805	+	1.01773i	0.193704	+	0.0411730i
$612$	0.00341381	−	0.00110921i	0.000137995	−	4.48373e-5i
$613$	5.48756	+	25.8169i	0.221641	+	1.04274i	0.938436	+	0.345453i	$0.112275\pi$
$613$	5.48756	+	25.8169i	0.221641	+	1.04274i	−0.716795	+	0.697284i	$0.754392\pi$
$614$	−6.19357	−	10.7276i	−0.249952	−	0.432930i
$615$	1.17383	−	1.67045i	0.0473335	−	0.0673590i
$616$	5.49168	−	16.9017i	0.221266	−	0.680988i
$617$	1.63510	+	0.171856i	0.0658267	+	0.00691866i	0.137385	−	0.990518i	$-0.456130\pi$
$617$	1.63510	+	0.171856i	0.0658267	+	0.00691866i	−0.0715579	+	0.997436i	$0.522797\pi$
$618$	−15.5432	−	21.3934i	−0.625240	−	0.860569i
$619$	1.38359			0.0556113			0.0278057	−	0.999613i	$-0.491148\pi$
$619$	1.38359			0.0556113			0.0278057	+	0.999613i	$0.491148\pi$
$620$	−9.56316	−	3.46880i	−0.384066	−	0.139311i
$621$	35.4247			1.42154
$622$	−8.06179	−	11.0961i	−0.323248	−	0.444913i
$623$	−52.9973	−	5.57024i	−2.12329	−	0.223167i
$624$	−0.981797	+	3.02166i	−0.0393033	+	0.120963i
$625$	−19.2582	+	15.9411i	−0.770330	+	0.637645i
$626$	−13.5089	−	23.3981i	−0.539924	−	0.935176i
$627$	4.07149	+	19.1548i	0.162599	+	0.764970i
$628$	−0.457744	+	0.148730i	−0.0182660	+	0.00593498i
$629$	0.143107	+	0.0304182i	0.00570603	+	0.00121285i
$630$	0.316062	−	0.00498782i	0.0125922	−	0.000198720i
$631$	19.6296	+	21.8009i	0.781442	+	0.867880i	0.994013	−	0.109266i	$-0.0348501\pi$
$631$	19.6296	+	21.8009i	0.781442	+	0.867880i	−0.212570	+	0.977146i	$0.568183\pi$
$632$	4.55428	−	10.2291i	0.181159	−	0.406891i
$633$	−14.1434	−	31.7666i	−0.562149	−	1.26261i
$634$	−12.9528	+	14.3855i	−0.514420	+	0.571321i
$635$	−13.7845	−	12.0232i	−0.547021	−	0.477127i
$636$	−5.61139	−	4.07691i	−0.222506	−	0.161660i
$637$	−5.80411	−	5.22605i	−0.229967	−	0.207064i
$638$	−6.33572	−	14.2303i	−0.250834	−	0.563381i
$639$	0.363862	+	0.162002i	0.0143942	+	0.00640869i
$640$	−0.263033	−	0.350275i	−0.0103973	−	0.0138458i
$641$	−4.27189	−	40.6443i	−0.168729	−	1.60535i	−0.671548	−	0.740961i	$-0.734370\pi$
$641$	−4.27189	−	40.6443i	−0.168729	−	1.60535i	0.502819	−	0.864392i	$-0.332296\pi$
$642$	4.15516	−	19.5485i	0.163991	−	0.771517i
$643$	26.5295	−	8.61997i	1.04622	−	0.339938i	0.265038	−	0.964238i	$-0.414616\pi$
$643$	26.5295	−	8.61997i	1.04622	−	0.339938i	0.781185	+	0.624300i	$0.214616\pi$
$644$	−20.7050	+	4.40099i	−0.815892	+	0.173423i
$645$	24.1182	−	11.1974i	0.949654	−	0.440898i
$646$	0.508390	−	0.880557i	0.0200023	−	0.0346450i
$647$	8.02975	+	2.60902i	0.315682	+	0.102571i	0.462572	−	0.886581i	$-0.346926\pi$
$647$	8.02975	+	2.60902i	0.315682	+	0.102571i	−0.146891	+	0.989153i	$0.546926\pi$
$648$	−27.7351	−	2.91507i	−1.08954	−	0.114515i
$649$	−1.01120	+	0.734679i	−0.0396930	+	0.0288387i
$650$	−5.74864	−	1.03349i	−0.225480	−	0.0405368i
$651$	−28.4106	+	23.1371i	−1.11350	+	0.906816i
$652$		−	14.4354i		−	0.565333i
$653$	23.9043	+	32.9014i	0.935447	+	1.28753i	0.957696	+	0.287780i	$0.0929174\pi$
$653$	23.9043	+	32.9014i	0.935447	+	1.28753i	−0.0222490	+	0.999752i	$0.507083\pi$
$654$	0.957635	−	9.11129i	0.0374465	−	0.356280i
$655$	29.7961	+	12.7066i	1.16423	+	0.496487i
$656$	−0.445041	+	0.770834i	−0.0173759	+	0.0300960i
$657$	−0.0832024	+	0.0480369i	−0.00324603	+	0.00187410i
$658$	3.89328	+	18.3165i	0.151776	+	0.714050i
$659$	9.25932	+	28.4973i	0.360692	+	1.11010i	0.952635	+	0.304116i	$0.0983610\pi$
$659$	9.25932	+	28.4973i	0.360692	+	1.11010i	−0.591943	+	0.805980i	$0.701639\pi$
$660$	4.67069	+	1.43652i	0.181806	+	0.0559167i
$661$	1.78564	+	16.9892i	0.0694533	+	0.660804i	0.972761	+	0.231810i	$0.0744649\pi$
$661$	1.78564	+	16.9892i	0.0694533	+	0.660804i	−0.903308	+	0.428993i	$0.858868\pi$
$662$	−23.8709	+	21.4934i	−0.927768	+	0.835366i
$663$	−0.0971638	+	0.218233i	−0.00377353	+	0.00847548i
$664$	−0.890309	+	0.396391i	−0.0345507	+	0.0153830i
$665$	−45.3058	+	42.1068i	−1.75688	+	1.63283i
$666$	0.0346890	+	0.0252030i	0.00134417	+	0.000976597i
$667$	−37.5990	+	51.7505i	−1.45584	+	2.00379i
$668$	−4.86577	−	4.38116i	−0.188262	−	0.169512i
$669$	−36.4521	+	16.2295i	−1.40932	+	0.627470i
$670$	15.5471	−	27.9373i	0.600635	−	1.07931i
$671$	−8.12681	−	9.02574i	−0.313732	−	0.348435i
$672$	28.0172	−	2.94472i	1.08079	−	0.113595i
$673$	−4.74178	+	22.3083i	−0.182782	+	0.859922i	0.787191	+	0.616709i	$0.211535\pi$
$673$	−4.74178	+	22.3083i	−0.182782	+	0.859922i	−0.969973	+	0.243213i	$0.921799\pi$
$674$	−11.4511	−	35.2428i	−0.441079	−	1.35750i
$675$	−0.815039	−	25.8168i	−0.0313709	−	0.993689i
$676$	−4.83986	−	8.38288i	−0.186148	−	0.322418i
$677$	36.5772	+	21.1179i	1.40578	+	0.811626i	0.994977	−	0.100100i	$-0.0319162\pi$
$677$	36.5772	+	21.1179i	1.40578	+	0.811626i	0.410800	+	0.911726i	$0.365250\pi$
$678$	−9.91779	−	3.22248i	−0.380890	−	0.123759i
$679$	−1.34475	+	12.7944i	−0.0516066	+	0.491004i
$680$	−0.449277	−	0.750565i	−0.0172290	−	0.0287829i
$681$	−14.8013			−0.567186
$682$	8.67065	−	3.35597i	0.332016	−	0.128507i
$683$		−	4.00157i		−	0.153116i	−0.997065	−	0.0765579i	$-0.975607\pi$
$683$		−	4.00157i		−	0.153116i	0.997065	−	0.0765579i	$-0.0243930\pi$
$684$	−0.166530	+	0.120991i	−0.00636743	+	0.00462621i
$685$	2.86251	−	14.5959i	0.109371	−	0.557680i
$686$	0.344925	−	1.06157i	0.0131693	−	0.0405309i
$687$	−3.90941	−	2.25710i	−0.149153	−	0.0861136i
$688$	−10.0395	+	5.79633i	−0.382754	+	0.220983i
$689$	5.11956	−	1.08820i	0.195040	−	0.0414569i
$690$	6.48756	+	28.3168i	0.246977	+	1.07800i
$691$	5.41169	+	1.15029i	0.205870	+	0.0437591i	0.309692	−	0.950837i	$-0.399774\pi$
$691$	5.41169	+	1.15029i	0.205870	+	0.0437591i	−0.103822	+	0.994596i	$0.533107\pi$
$692$	1.09950	−	0.115562i	0.0417968	−	0.00439302i
$693$	0.148303	−	0.133533i	0.00563358	−	0.00507250i
$694$	17.6420	+	7.85474i	0.669682	+	0.298162i
$695$	−3.57829	−	10.4489i	−0.135732	−	0.396348i
$696$	33.3137	−	36.9986i	1.26275	−	1.40243i
$697$	−0.0393370	+	0.0541427i	−0.00148999	+	0.00205080i
$698$	0.0877881	−	0.120830i	0.00332283	−	0.00457348i
$699$	6.87283	−	7.63305i	0.259954	−	0.288709i
$700$	3.68372	+	14.9881i	0.139232	+	0.566498i
$701$	−17.8359	−	7.94104i	−0.673652	−	0.299929i	0.0412553	−	0.999149i	$-0.486864\pi$
$701$	−17.8359	−	7.94104i	−0.673652	−	0.299929i	−0.714907	+	0.699220i	$0.753531\pi$
$702$	4.48461	−	4.03796i	0.169261	−	0.152403i
$703$	−8.34394	+	0.876983i	−0.314698	+	0.0330761i
$704$	−12.0929	−	2.57043i	−0.455769	−	0.0968767i
$705$	−17.3037	+	3.96438i	−0.651695	+	0.149307i
$706$	−30.1060	+	6.39924i	−1.13306	+	0.240839i
$707$	29.7300	−	17.1646i	1.11811	−	0.645542i
$708$	−1.00349	−	0.579365i	−0.0377135	−	0.0217739i
$709$	−9.13860	+	28.1257i	−0.343207	+	1.05628i	0.619329	+	0.785131i	$0.287405\pi$
$709$	−9.13860	+	28.1257i	−0.343207	+	1.05628i	−0.962536	+	0.271152i	$0.912595\pi$
$710$	5.41821	−	27.6273i	0.203342	−	1.03684i
$711$	0.101723	−	0.0739060i	0.00381490	−	0.00277169i
$712$			43.2194i			1.61971i
$713$	−29.7381	−	23.9452i	−1.11370	−	0.896756i
$714$	−0.913847			−0.0341999
$715$	−3.16391	+	1.89387i	−0.118324	+	0.0708268i
$716$	−1.75787	+	16.7250i	−0.0656946	+	0.625042i
$717$	24.6163	+	7.99832i	0.919312	+	0.298703i
$718$	14.0414	+	8.10682i	0.524021	+	0.302544i
$719$	9.63110	+	16.6815i	0.359179	+	0.622117i	0.987824	−	0.155576i	$-0.0497233\pi$
$719$	9.63110	+	16.6815i	0.359179	+	0.622117i	−0.628645	+	0.777693i	$0.716390\pi$
$720$	−0.0157045	−	0.129697i	−0.000585271	−	0.00483351i
$721$	−16.2941	−	50.1482i	−0.606826	−	1.86762i
$722$	−7.82652	+	36.8209i	−0.291273	+	1.37033i
$723$	29.4210	−	3.09227i	1.09418	−	0.115003i
$724$	−5.61694	−	6.23824i	−0.208752	−	0.231842i
$725$	38.5798	+	26.2107i	1.43282	+	0.973440i
$726$	14.9585	−	6.65997i	0.555163	−	0.247175i
$727$	24.0283	+	21.6352i	0.891161	+	0.802405i	0.981092	−	0.193543i	$-0.0619980\pi$
$727$	24.0283	+	21.6352i	0.891161	+	0.802405i	−0.0899312	+	0.995948i	$0.528665\pi$
$728$	−7.30737	+	10.0577i	−0.270829	+	0.372764i
$729$	21.5872	+	15.6840i	0.799527	+	0.580890i
$730$	4.62312	+	4.97436i	0.171110	+	0.184109i
$731$	−0.796279	+	0.354526i	−0.0294514	+	0.0131126i
$732$	4.57958	−	10.2859i	0.169266	−	0.380178i
$733$	23.3700	−	21.0424i	0.863190	−	0.777220i	−0.113123	−	0.993581i	$-0.536086\pi$
$733$	23.3700	−	21.0424i	0.863190	−	0.777220i	0.976313	+	0.216361i	$0.0694189\pi$
$734$	−1.26798	−	12.0640i	−0.0468021	−	0.445292i
$735$	27.0725	+	8.32647i	0.998586	+	0.307127i
$736$	9.07143	+	27.9190i	0.334377	+	1.02911i
$737$	−4.19661	−	19.7435i	−0.154584	−	0.727261i
$738$	−0.0169860	+	0.00980689i	−0.000625264	+	0.000360996i
$739$	22.3418	−	38.6972i	0.821858	−	1.42350i	−0.0824391	−	0.996596i	$-0.526271\pi$
$739$	22.3418	−	38.6972i	0.821858	−	1.42350i	0.904297	−	0.426904i	$-0.140396\pi$
$740$	−0.821253	+	1.92578i	−0.0301898	+	0.0707932i
$741$	1.43195	−	13.6241i	0.0526040	−	0.500493i
$742$	11.7687	+	16.1982i	0.432043	+	0.594656i
$743$		−	30.9149i		−	1.13416i	−0.823664	−	0.567079i	$-0.808074\pi$
$743$		−	30.9149i		−	1.13416i	0.823664	−	0.567079i	$-0.191926\pi$
$744$	21.0707	+	20.9542i	0.772491	+	0.768219i
$745$	0.371207	−	4.16267i	0.0136000	−	0.152509i
$746$	−1.37896	+	1.00188i	−0.0504875	+	0.0366813i
$747$	−0.0108838	−	0.00114393i	−0.000398216	−	4.18542e-5i
$748$	−0.152341	−	0.0494987i	−0.00557015	−	0.00180985i
$749$	19.9253	−	34.5117i	0.728056	−	1.26103i
$750$	20.4874	−	5.37950i	0.748095	−	0.196432i
$751$	−7.37177	+	1.56692i	−0.269000	+	0.0571776i	−0.340437	−	0.940267i	$-0.610575\pi$
$751$	−7.37177	+	1.56692i	−0.269000	+	0.0571776i	0.0714370	+	0.997445i	$0.477242\pi$
$752$	7.36048	−	2.39156i	0.268409	−	0.0872114i
$753$	−10.1267	+	47.6425i	−0.369038	+	1.73619i
$754$	1.13903	+	10.8372i	0.0414811	+	0.394666i
$755$	26.6970	−	20.0477i	0.971603	−	0.729610i
$756$	−14.5677	−	6.48598i	−0.529824	−	0.235893i
$757$	−7.68911	−	17.2700i	−0.279466	−	0.627690i	0.718210	−	0.695826i	$-0.244961\pi$
$757$	−7.68911	−	17.2700i	−0.279466	−	0.627690i	−0.997676	+	0.0681360i	$0.978295\pi$
$758$	23.4623	+	21.1256i	0.852190	+	0.767315i
$759$	14.8375	+	10.7801i	0.538569	+	0.391293i
$760$	37.8038	+	32.9736i	1.37129	+	1.19608i
$761$	−29.8788	+	33.1838i	−1.08311	+	1.20291i	−0.105074	+	0.994464i	$0.533508\pi$
$761$	−29.8788	+	33.1838i	−1.08311	+	1.20291i	−0.978033	+	0.208448i	$0.933159\pi$
$762$	6.30351	+	14.1579i	0.228352	+	0.512887i
$763$	7.43029	−	16.6887i	0.268994	−	0.604171i
$764$	−8.89057	−	9.87398i	−0.321650	−	0.357228i
$765$	−0.000154998	−	0.00982172i	−5.60396e−6	−	0.000355105i
$766$	−15.9481	−	3.38988i	−0.576229	−	0.122481i
$767$	0.831581	−	0.270197i	0.0300266	−	0.00975624i
$768$	−5.75544	−	27.0772i	−0.207682	−	0.977065i
$769$	8.94095	+	15.4862i	0.322419	+	0.558446i	0.980987	−	0.194076i	$-0.0621707\pi$
$769$	8.94095	+	15.4862i	0.322419	+	0.558446i	−0.658568	+	0.752521i	$0.728837\pi$
$770$	−11.5415	−	8.11023i	−0.415925	−	0.292272i
$771$	4.42824	−	13.6287i	0.159479	−	0.490826i
$772$	−14.5705	−	1.53142i	−0.524403	−	0.0551170i
$773$	−4.76874	−	6.56360i	−0.171520	−	0.236076i	0.714600	−	0.699533i	$-0.246609\pi$
$773$	−4.76874	−	6.56360i	−0.171520	−	0.236076i	−0.886119	+	0.463457i	$0.846609\pi$
$774$	−0.255455			−0.00918213
$775$	−16.7666	+	22.2234i	−0.602273	+	0.798290i
$776$	10.4338			0.374553
$777$	4.43223	+	6.10044i	0.159005	+	0.218852i
$778$	−0.00556473		0.000584877i	−0.000199505		2.09688e-5i
$779$	1.18595	−	3.64998i	0.0424911	−	0.130774i
$780$	−2.79693	−	1.96541i	−0.100146	−	0.0703731i
$781$	−8.88701	−	15.3927i	−0.318002	−	0.550796i
$782$	−0.197987	−	0.931454i	−0.00707999	−	0.0333087i
$783$	−45.8305	+	14.8912i	−1.63785	+	0.532169i
$784$	−12.0785	−	2.56736i	−0.431374	−	0.0916913i
$785$	0.0207831	+	1.31696i	0.000741780	+	0.0470042i
$786$	−18.3645	−	20.3958i	−0.655039	−	0.727495i
$787$	0.0828817	−	0.186155i	0.00295441	−	0.00663572i	−0.912062	−	0.410052i	$-0.865511\pi$
$787$	0.0828817	−	0.186155i	0.00295441	−	0.00663572i	0.915017	+	0.403416i	$0.132177\pi$
$788$	3.22094	+	7.23435i	0.114741	+	0.257713i
$789$	10.9451	−	12.1558i	0.389656	−	0.432757i
$790$	−6.69785	−	5.84206i	−0.238299	−	0.207851i
$791$	−16.8226	−	12.2223i	−0.598143	−	0.434576i
$792$	−0.120279	−	0.108300i	−0.00427393	−	0.00384827i
$793$	3.45574	+	7.76172i	0.122717	+	0.275627i
$794$	14.4150	+	6.41798i	0.511570	+	0.227766i
$795$	−15.1781	+	11.3977i	−0.538311	+	0.404236i
$796$	0.701459	+	6.67394i	0.0248626	+	0.236551i
$797$	−9.66007	+	45.4470i	−0.342177	+	1.60982i	0.384695	+	0.923044i	$0.374307\pi$
$797$	−9.66007	+	45.4470i	−0.342177	+	1.60982i	−0.726872	+	0.686773i	$0.759027\pi$
$798$	49.8404	−	16.1941i	1.76433	−	0.573266i
$799$	0.569188	−	0.120985i	0.0201364	−	0.00428013i
$800$	20.1381	−	7.25342i	0.711988	−	0.256447i
$801$	−0.242663	+	0.420304i	−0.00857407	+	0.0148507i
$802$	28.9232	+	9.39772i	1.02131	+	0.331845i
$803$	4.26381	+	0.448145i	0.150467	+	0.0158147i
$804$	15.1384	−	10.9987i	0.533891	−	0.387894i
$805$	−5.14522	+	57.6979i	−0.181345	+	2.03358i
$806$	−6.49416	+	0.358403i	−0.228747	+	0.0126242i
$807$			42.0849i			1.48146i
$808$	−16.3652	−	22.5248i	−0.575727	−	0.792420i
$809$	2.98262	−	28.3777i	0.104863	−	0.997708i	−0.807928	−	0.589281i	$-0.799411\pi$
$809$	2.98262	−	28.3777i	0.104863	−	0.997708i	0.912791	−	0.408427i	$-0.133922\pi$
$810$	−8.68327	+	20.3617i	−0.305099	+	0.715437i
$811$	20.7318	−	35.9086i	0.727993	−	1.26092i	−0.229737	−	0.973253i	$-0.573787\pi$
$811$	20.7318	−	35.9086i	0.727993	−	1.26092i	0.957730	−	0.287668i	$-0.0928800\pi$
$812$	24.9370	−	14.3974i	0.875115	−	0.505248i
$813$	5.35552	+	25.1958i	0.187826	+	0.883654i
$814$	−0.591283	−	1.81978i	−0.0207244	−	0.0637833i
$815$	−37.7581	−	11.6130i	−1.32261	−	0.406784i
$816$	0.0394794	+	0.375622i	0.00138206	+	0.0131494i
$817$	37.1459	−	33.4463i	1.29957	−	1.17014i
$818$	3.62043	−	8.13161i	0.126585	−	0.284315i
$819$	−0.127534	+	0.0567819i	−0.00445641	+	0.00198412i
$820$	−0.651959	−	0.701491i	−0.0227674	−	0.0244971i
$821$	7.38369	+	5.36456i	0.257692	+	0.187224i	0.709129	−	0.705079i	$-0.249088\pi$
$821$	7.38369	+	5.36456i	0.257692	+	0.187224i	−0.451437	+	0.892303i	$0.649088\pi$
$822$	−7.40747	+	10.1955i	−0.258365	+	0.355609i
$823$	−16.9996	−	15.3066i	−0.592571	−	0.533553i	0.317365	−	0.948304i	$-0.397202\pi$
$823$	−16.9996	−	15.3066i	−0.592571	−	0.533553i	−0.909935	+	0.414751i	$0.863869\pi$
$824$	−39.0678	+	17.3941i	−1.36099	+	0.605952i
$825$	7.51494	−	11.0613i	0.261637	−	0.385106i
$826$	2.23816	+	2.48573i	0.0778756	+	0.0864896i
$827$	−27.2068	+	2.85955i	−0.946072	+	0.0994361i	−0.564983	−	0.825102i	$-0.691117\pi$
$827$	−27.2068	+	2.85955i	−0.946072	+	0.0994361i	−0.381089	+	0.924539i	$0.624451\pi$
$828$	−0.0400815	+	0.188569i	−0.00139293	+	0.00655321i
$829$	−6.72354	−	20.6929i	−0.233518	−	0.718695i	−0.997315	−	0.0732377i	$-0.976667\pi$
$829$	−6.72354	−	20.6929i	−0.233518	−	0.718695i	0.763796	−	0.645457i	$-0.223333\pi$
$830$	0.0929880	+	0.767949i	0.00322766	+	0.0266559i
$831$	16.6095	+	28.7686i	0.576178	+	0.997970i
$832$	7.48990	+	4.32430i	0.259666	+	0.149918i
$833$	−0.883010	−	0.286907i	−0.0305945	−	0.00994075i
$834$	−0.978159	+	9.30656i	−0.0338709	+	0.322260i
$835$	−15.3741	+	9.20269i	−0.532041	+	0.318472i
$836$	9.18572			0.317695
$837$	−7.52134	−	27.7619i	−0.259975	−	0.959591i
$838$		−	3.53657i		−	0.122169i
$839$	15.3664	−	11.1643i	0.530507	−	0.385436i	−0.290040	−	0.957014i	$-0.593669\pi$
$839$	15.3664	−	11.1643i	0.530507	−	0.385436i	0.820547	+	0.571579i	$0.193669\pi$
$840$	8.67674	−	44.2425i	0.299376	−	1.52651i
$841$	17.9279	−	55.1764i	0.618203	−	1.90263i
$842$	−18.2770	−	10.5522i	−0.629867	−	0.363654i
$843$	−34.1061	+	19.6912i	−1.17468	+	0.678200i
$844$	−15.9545	+	3.39124i	−0.549178	+	0.116731i
$845$	−25.8204	+	5.91560i	−0.888247	+	0.203503i
$846$	0.166815	+	0.0354576i	0.00573521	+	0.00121906i
$847$	32.4713	−	3.41287i	1.11573	−	0.117268i
$848$	6.14960	−	5.53712i	0.211178	−	0.190146i
$849$	−6.22953	−	2.77357i	−0.213797	−	0.0951885i
$850$	−0.674269	+	0.165719i	−0.0231272	+	0.00568412i
$851$	−5.25773	+	5.83930i	−0.180233	+	0.200169i
$852$	9.68518	−	13.3305i	0.331809	−	0.456695i
$853$	25.9791	−	35.7572i	0.889508	−	1.22430i	−0.0841871	−	0.996450i	$-0.526829\pi$
$853$	25.9791	−	35.7572i	0.889508	−	1.22430i	0.973695	−	0.227853i	$-0.0731707\pi$
$854$	−21.7481	+	24.1537i	−0.744205	+	0.826523i
$855$	0.182502	+	0.532921i	0.00624145	+	0.0182255i
$856$	−29.5260	−	13.1458i	−1.00918	−	0.449315i
$857$	−4.46340	+	4.01886i	−0.152467	+	0.137282i	−0.741834	−	0.670584i	$-0.766044\pi$
$857$	−4.46340	+	4.01886i	−0.152467	+	0.137282i	0.589367	+	0.807865i	$0.299377\pi$
$858$	3.10716	−	0.326575i	0.106077	−	0.0111491i
$859$	13.7426	+	2.92108i	0.468891	+	0.0996658i	0.436297	−	0.899803i	$-0.356290\pi$
$859$	13.7426	+	2.92108i	0.468891	+	0.0996658i	0.0325941	+	0.999469i	$0.489623\pi$
$860$	−2.78547	−	12.1580i	−0.0949838	−	0.414584i
$861$	−3.37392	+	0.717150i	−0.114983	+	0.0244404i
$862$	−28.2284	+	16.2977i	−0.961462	+	0.555100i
$863$	32.6728	+	18.8637i	1.11220	+	0.642126i	0.939397	−	0.342831i	$-0.111386\pi$
$863$	32.6728	+	18.8637i	1.11220	+	0.642126i	0.172798	+	0.984957i	$0.444719\pi$
$864$	−6.83387	+	21.0325i	−0.232493	+	0.715540i
$865$	0.582253	−	2.96890i	0.0197972	−	0.100946i
$866$	21.4606	−	15.5921i	0.729262	−	0.529840i
$867$		−	29.5848i		−	1.00475i
$868$	7.84506	+	15.2918i	0.266279	+	0.519039i
$869$	−5.61099			−0.190340
$870$	−20.2966	−	33.9075i	−0.688117	−	1.14957i
$871$	−1.47595	+	14.0428i	−0.0500108	+	0.475821i
$872$	−14.0909	−	4.57840i	−0.477177	−	0.155044i
$873$	0.101468	+	0.0585827i	0.00343418	+	0.00198272i
$874$	27.3042	+	47.2922i	0.923577	+	1.59968i
$875$	42.1674	+	2.42224i	1.42552	+	0.0818866i
$876$	1.22820	+	3.78002i	0.0414971	+	0.127715i
$877$	2.42756	−	11.4208i	0.0819729	−	0.385652i	−0.917966	−	0.396658i	$-0.870170\pi$
$877$	2.42756	−	11.4208i	0.0819729	−	0.385652i	0.999939	+	0.0110055i	$0.00350324\pi$
$878$	−10.3435	+	1.08714i	−0.349075	+	0.0366893i
$879$	−18.0010	−	19.9921i	−0.607158	−	0.674317i
$880$	−2.83497	+	5.09429i	−0.0955668	+	0.171729i
$881$	−8.73619	+	3.88960i	−0.294330	+	0.131044i	−0.548589	−	0.836092i	$-0.684835\pi$
$881$	−8.73619	+	3.88960i	−0.294330	+	0.131044i	0.254260	+	0.967136i	$0.418168\pi$
$882$	−0.202214	−	0.182075i	−0.00680891	−	0.00613077i
$883$	−11.9619	+	16.4642i	−0.402551	+	0.554064i	−0.961382	−	0.275218i	$-0.911250\pi$
$883$	−11.9619	+	16.4642i	−0.402551	+	0.554064i	0.558831	+	0.829282i	$0.311250\pi$
$884$	0.0906542	+	0.0658642i	0.00304903	+	0.00221525i
$885$	−2.32271	+	2.15871i	−0.0780771	+	0.0725642i
$886$	0.380104	−	0.169233i	0.0127699	−	0.00568550i
$887$	−11.0494	+	24.8173i	−0.371001	+	0.833283i	0.627503	+	0.778614i	$0.284077\pi$
$887$	−11.0494	+	24.8173i	−0.371001	+	0.833283i	−0.998505	+	0.0546687i	$0.982590\pi$
$888$	4.54481	−	4.09217i	0.152514	−	0.137324i
$889$	3.23021	+	30.7334i	0.108338	+	1.03076i
$890$	32.7895	+	10.0848i	1.09911	+	0.338043i
$891$	4.31848	+	13.2909i	0.144674	+	0.445262i
$892$	3.89144	+	18.3078i	0.130295	+	0.612991i
$893$	−28.8991	+	16.6849i	−0.967071	+	0.558339i
$894$	−1.77047	+	3.06654i	−0.0592133	+	0.102560i
$895$	42.3328	+	18.0529i	1.41503	+	0.603441i
$896$	−0.0773572	+	0.736004i	−0.00258432	+	0.0245882i
$897$	−7.54123	−	10.3796i	−0.251794	−	0.346565i
$898$		−	9.57693i		−	0.319586i
$899$	48.5392	+	18.4782i	1.61887	+	0.616282i
$900$	0.138347	+	0.0248720i	0.00461157	+	0.000829067i
$901$	0.503365	−	0.365716i	0.0167695	−	0.0121838i
$902$	0.870471	+	0.0914902i	0.0289835	+	0.00304629i
$903$	−42.7258	−	13.8824i	−1.42182	−	0.461979i
$904$	−8.43226	+	14.6051i	−0.280453	+	0.485759i
$905$	−20.8359	+	9.67351i	−0.692608	+	0.321558i
$906$	−27.6692	+	5.88128i	−0.919248	+	0.195392i
$907$	−12.6518	+	4.11081i	−0.420095	+	0.136497i	−0.511434	−	0.859323i	$-0.670885\pi$
$907$	−12.6518	+	4.11081i	−0.420095	+	0.136497i	0.0913386	+	0.995820i	$0.470885\pi$
$908$	−1.44350	+	6.79114i	−0.0479043	+	0.225372i
$909$	−0.0326808	−	0.310937i	−0.00108395	−	0.0103131i
$910$	5.92545	+	7.89078i	0.196427	+	0.261577i
$911$	21.1897	+	9.43428i	0.702047	+	0.312572i	0.726536	−	0.687129i	$-0.241129\pi$
$911$	21.1897	+	9.43428i	0.702047	+	0.312572i	−0.0244887	+	0.999700i	$0.507796\pi$
$912$	−8.80950	−	19.7865i	−0.291712	−	0.655195i
$913$	0.362925	+	0.326779i	0.0120111	+	0.0108148i
$914$	−13.2915	−	9.65681i	−0.439642	−	0.319419i
$915$	−23.2203	−	20.2534i	−0.767640	−	0.669558i
$916$	−1.41687	+	1.57360i	−0.0468148	+	0.0519931i
$917$	−22.2591	−	49.9948i	−0.735060	−	1.65097i
$918$	0.291784	−	0.655357i	0.00963030	−	0.0216300i
$919$	−19.1919	−	21.3147i	−0.633082	−	0.703108i	0.338191	−	0.941077i	$-0.390185\pi$
$919$	−19.1919	−	21.3147i	−0.633082	−	0.703108i	−0.971273	+	0.237969i	$0.923518\pi$
$920$	46.9748	−	0.741316i	1.54871	−	0.0244405i
$921$	−19.4061	−	4.12489i	−0.639453	−	0.135920i
$922$	21.5084	−	6.98851i	0.708342	−	0.230154i
$923$	2.58514	+	12.1621i	0.0850908	+	0.400321i
$924$	−4.12791	−	7.14975i	−0.135798	−	0.235209i
$925$	4.37653	+	3.69737i	0.143899	+	0.121569i
$926$	−13.0402	+	40.1336i	−0.428528	+	1.31887i
$927$	−0.477592	−	0.0501970i	−0.0156862	−	0.00164868i
$928$	−23.4722	−	32.3067i	−0.770512	−	1.06052i
$929$	−17.4789			−0.573464			−0.286732	−	0.958011i	$-0.592569\pi$
$929$	−17.4789			−0.573464			−0.286732	+	0.958011i	$0.592569\pi$
$930$	20.8141	−	11.0964i	0.682520	−	0.363866i
$931$	53.2428			1.74496
$932$	−2.83193	−	3.89782i	−0.0927630	−	0.127677i
$933$	−21.8469	−	2.29620i	−0.715236	−	0.0751744i
$934$	10.2928	−	31.6781i	0.336792	−	1.03654i
$935$	−0.252027	+	0.358653i	−0.00824218	+	0.0117292i
$936$	0.0566116	+	0.0980542i	0.00185041	+	0.00320500i
$937$	−4.72172	−	22.2139i	−0.154252	−	0.725698i	−0.985483	−	0.169772i	$-0.945697\pi$
$937$	−4.72172	−	22.2139i	−0.154252	−	0.725698i	0.831232	−	0.555926i	$-0.187636\pi$
$938$	−51.3721	+	16.6918i	−1.67736	+	0.545007i
$939$	−42.3270	−	8.99688i	−1.38129	−	0.293602i
$940$	0.131393	+	8.32594i	0.00428556	+	0.271562i
$941$	7.72945	+	8.58443i	0.251973	+	0.279844i	0.855840	−	0.517241i	$-0.173041\pi$
$941$	7.72945	+	8.58443i	0.251973	+	0.279844i	−0.603867	+	0.797085i	$0.706374\pi$
$942$	0.453904	−	1.01949i	0.0147890	−	0.0332166i
$943$	−1.46193	−	3.28356i	−0.0476071	−	0.106927i
$944$	0.925026	−	1.02735i	0.0301070	−	0.0334372i
$945$	−28.6846	+	32.8865i	−0.933109	+	1.06980i
$946$	9.22254	+	6.70057i	0.299851	+	0.217854i
$947$	−12.6466	−	11.3870i	−0.410959	−	0.370029i	0.437564	−	0.899187i	$-0.355841\pi$
$947$	−12.6466	−	11.3870i	−0.410959	−	0.370029i	−0.848523	+	0.529158i	$0.822508\pi$
$948$	−2.11571	−	4.75196i	−0.0687151	−	0.154337i
$949$	−2.73989	−	1.21988i	−0.0889406	−	0.0395989i
$950$	33.8374	−	20.9868i	1.09783	−	0.680901i
$951$	3.24078	+	30.8339i	0.105089	+	0.999859i
$952$	−0.307269	+	1.44558i	−0.00995863	+	0.0468517i
$953$	16.3303	−	5.30603i	0.528990	−	0.171879i	−0.0323315	−	0.999477i	$-0.510293\pi$
$953$	16.3303	−	5.30603i	0.528990	−	0.171879i	0.561321	+	0.827598i	$0.310293\pi$
$954$	0.178364	−	0.0379125i	0.00577476	−	0.00122746i
$955$	−32.9793	+	15.3114i	−1.06719	+	0.495464i
$956$	6.07052	−	10.5144i	0.196335	−	0.340061i
$957$	−23.7275	−	7.70953i	−0.767001	−	0.249214i
$958$	−28.4704	−	2.99236i	−0.919837	−	0.0966787i
$959$	−20.3299	+	14.7705i	−0.656487	+	0.476966i
$960$	−31.2406	−	2.78588i	−1.00828	−	0.0899140i
$961$	−12.4516	+	28.3894i	−0.401664	+	0.915787i
$962$			1.33854i			0.0431563i
$963$	−0.213328	−	0.293621i	−0.00687440	−	0.00946180i
$964$	1.45050	−	13.8005i	0.0467173	−	0.444485i
$965$	−15.7273	+	36.8795i	−0.506280	+	1.18719i
$966$	24.5401	−	42.5046i	0.789563	−	1.36756i
$967$	−13.6153	+	7.86078i	−0.437838	+	0.252786i	−0.702680	−	0.711506i	$-0.748013\pi$
$967$	−13.6153	+	7.86078i	−0.437838	+	0.252786i	0.264842	+	0.964292i	$0.414680\pi$
$968$	−5.50558	−	25.9017i	−0.176956	−	0.832513i
$969$	−0.503237	−	1.54880i	−0.0161663	−	0.0497547i
$970$	2.43463	−	7.91590i	0.0781712	−	0.254164i
$971$	1.49751	+	14.2479i	0.0480574	+	0.457236i	0.991917	+	0.126889i	$0.0404991\pi$
$971$	1.49751	+	14.2479i	0.0480574	+	0.457236i	−0.943860	+	0.330347i	$0.892834\pi$
$972$	−0.217106	+	0.195483i	−0.00696366	+	0.00627011i
$973$	−7.58953	+	17.0464i	−0.243309	+	0.546482i
$974$	26.1894	−	11.6603i	0.839163	−	0.373619i
$975$	−7.39093	+	5.73470i	−0.236699	+	0.183657i
$976$	10.8675	+	7.89572i	0.347861	+	0.252736i
$977$	2.21112	−	3.04335i	0.0707400	−	0.0973653i	−0.772181	−	0.635403i	$-0.780834\pi$
$977$	2.21112	−	3.04335i	0.0707400	−	0.0973653i	0.842921	+	0.538037i	$0.180834\pi$
$978$	24.8735	+	22.3962i	0.795365	+	0.716150i
$979$	19.7853	−	8.80897i	0.632340	−	0.281536i
$980$	6.46063	−	11.6094i	0.206377	−	0.370849i
$981$	−0.111326	−	0.123640i	−0.00355437	−	0.00394752i
$982$	−0.643117	+	0.0675943i	−0.0205227	+	0.00215702i
$983$	10.7381	−	50.5186i	0.342491	−	1.61129i	−0.383466	−	0.923555i	$-0.625270\pi$
$983$	10.7381	−	50.5186i	0.342491	−	1.61129i	0.725958	−	0.687739i	$-0.241397\pi$
$984$	0.864474	+	2.66058i	0.0275584	+	0.0848161i
$985$	21.5138	−	2.60503i	0.685487	−	0.0830030i
$986$	0.647692	+	1.12184i	0.0206267	+	0.0357265i
$987$	25.9735	+	14.9958i	0.826746	+	0.477322i
$988$	−6.11137	−	1.98570i	−0.194429	−	0.0631737i
$989$	4.89330	−	46.5566i	0.155598	−	1.48041i
$990$	−0.110230	+	0.0659822i	−0.00350335	+	0.00209705i
$991$	−37.6163			−1.19492			−0.597460	−	0.801898i	$-0.703824\pi$
$991$	−37.6163			−1.19492			−0.597460	+	0.801898i	$0.703824\pi$
$992$	19.9537	−	13.0369i	0.633531	−	0.413922i
$993$			51.4468i			1.63261i
$994$	−38.4808	+	27.9580i	−1.22054	+	0.886773i
$995$	18.0211	+	3.53425i	0.571307	+	0.112043i
$996$	−0.139904	+	0.430580i	−0.00443302	+	0.0136434i
$997$	−23.6113	−	13.6320i	−0.747779	−	0.431730i	0.0771119	−	0.997022i	$-0.475430\pi$
$997$	−23.6113	−	13.6320i	−0.747779	−	0.431730i	−0.824891	+	0.565292i	$0.808763\pi$
$998$	16.1377	−	9.31709i	0.510829	−	0.294927i
$999$	−5.79005	+	1.23071i	−0.183189	+	0.0389380i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	155.2.u.a.59.11	yes	112
5.2	odd	4		775.2.bl.f.276.4		112
5.3	odd	4		775.2.bl.f.276.11		112
5.4	even	2	inner	155.2.u.a.59.4	✓	112
31.10	even	15	inner	155.2.u.a.134.4	yes	112
155.72	odd	60		775.2.bl.f.351.4		112
155.103	odd	60		775.2.bl.f.351.11		112
155.134	even	30	inner	155.2.u.a.134.11	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
155.2.u.a.59.4	✓	112	5.4	even	2	inner
155.2.u.a.59.11	yes	112	1.1	even	1	trivial
155.2.u.a.134.4	yes	112	31.10	even	15	inner
155.2.u.a.134.11	yes	112	155.134	even	30	inner
775.2.bl.f.276.4		112	5.2	odd	4
775.2.bl.f.276.11		112	5.3	odd	4
775.2.bl.f.351.4		112	155.72	odd	60
775.2.bl.f.351.11		112	155.103	odd	60

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:	\( N \)	\(=\)	\( 155 = 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	155.u (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.639282 + 0.879896i) q^{2} +(1.73241 + 0.182084i) q^{3} +(0.252498 - 0.777110i) q^{4} +(-1.82953 - 1.28562i) q^{5} +(0.947285 + 1.64075i) q^{6} +(0.785446 + 3.69523i) q^{7} +(2.91395 - 0.946801i) q^{8} +(0.0336539 + 0.00715335i) q^{9} +O(q^{10})\)	\(q+(0.639282 + 0.879896i) q^{2} +(1.73241 + 0.182084i) q^{3} +(0.252498 - 0.777110i) q^{4} +(-1.82953 - 1.28562i) q^{5} +(0.947285 + 1.64075i) q^{6} +(0.785446 + 3.69523i) q^{7} +(2.91395 - 0.946801i) q^{8} +(0.0336539 + 0.00715335i) q^{9} +(-0.0383745 - 2.43167i) q^{10} +(-1.02736 - 1.14099i) q^{11} +(0.578930 - 1.30030i) q^{12} +(0.436860 + 0.981203i) q^{13} +(-2.74930 + 3.05341i) q^{14} +(-2.93541 - 2.56035i) q^{15} +(1.37382 + 0.998142i) q^{16} +(0.0948853 + 0.0854351i) q^{17} +(0.0152201 + 0.0341849i) q^{18} +(-6.68895 - 2.97811i) q^{19} +(-1.46102 + 1.09713i) q^{20} +(0.687874 + 6.54468i) q^{21} +(0.347186 - 1.63338i) q^{22} +(-6.52175 + 2.11904i) q^{23} +(5.22056 - 1.10967i) q^{24} +(1.69437 + 4.70416i) q^{25} +(-0.584080 + 1.01166i) q^{26} +(-4.91309 - 1.59636i) q^{27} +(3.06993 + 0.322662i) q^{28} +(7.54670 - 5.48300i) q^{29} +(0.376287 - 4.21964i) q^{30} +(3.04536 + 4.66109i) q^{31} -4.28091i q^{32} +(-1.57205 - 2.16374i) q^{33} +(-0.0145156 + 0.138106i) q^{34} +(3.31366 - 7.77032i) q^{35} +(0.0140565 - 0.0243466i) q^{36} +(0.992339 - 0.572927i) q^{37} +(-1.65569 - 7.78943i) q^{38} +(0.578160 + 1.77939i) q^{39} +(-6.54839 - 2.01403i) q^{40} +(0.0547887 + 0.521280i) q^{41} +(-5.31889 + 4.78915i) q^{42} +(-2.77666 + 6.23648i) q^{43} +(-1.14608 + 0.510269i) q^{44} +(-0.0523743 - 0.0563534i) q^{45} +(-6.03378 - 4.38379i) q^{46} +(2.67883 - 3.68709i) q^{47} +(2.19828 + 1.97934i) q^{48} +(-6.64300 + 2.95765i) q^{49} +(-3.05599 + 4.49815i) q^{50} +(0.148824 + 0.165286i) q^{51} +(0.872809 - 0.0917359i) q^{52} +(1.01316 - 4.76655i) q^{53} +(-1.73622 - 5.34353i) q^{54} +(0.412695 + 3.40827i) q^{55} +(5.78740 + 10.0241i) q^{56} +(-11.0457 - 6.37726i) q^{57} +(9.64893 + 3.13513i) q^{58} +(0.0850950 - 0.809625i) q^{59} +(-2.73086 + 1.63465i) q^{60} +7.91042 q^{61} +(-2.15444 + 5.65935i) q^{62} +0.129977i q^{63} +(6.51440 - 4.73299i) q^{64} +(0.462205 - 2.35678i) q^{65} +(0.898882 - 2.76647i) q^{66} +(11.3852 + 6.57324i) q^{67} +(0.0903509 - 0.0521641i) q^{68} +(-11.6842 + 2.48355i) q^{69} +(8.95544 - 2.05175i) q^{70} +(11.3235 + 2.40688i) q^{71} +(0.104839 - 0.0110190i) q^{72} +(-2.07514 + 1.86847i) q^{73} +(1.13850 + 0.506893i) q^{74} +(2.07879 + 8.45806i) q^{75} +(-4.00327 + 4.44608i) q^{76} +(3.40930 - 4.69250i) q^{77} +(-1.19607 + 1.64625i) q^{78} +(2.44535 - 2.71584i) q^{79} +(-1.23022 - 3.59235i) q^{80} +(-8.31512 - 3.70213i) q^{81} +(-0.423647 + 0.381453i) q^{82} +(-0.316336 + 0.0332482i) q^{83} +(5.25962 + 1.11797i) q^{84} +(-0.0637586 - 0.278293i) q^{85} +(-7.26252 + 1.54370i) q^{86} +(14.0724 - 8.12468i) q^{87} +(-4.07396 - 2.35210i) q^{88} +(-4.35898 + 13.4156i) q^{89} +(0.0161031 - 0.0821096i) q^{90} +(-3.28264 + 2.38498i) q^{91} +5.60317i q^{92} +(4.42710 + 8.62945i) q^{93} +4.95678 q^{94} +(8.40892 + 14.0480i) q^{95} +(0.779484 - 7.41629i) q^{96} +(3.23873 + 1.05233i) q^{97} +(-6.84917 - 3.95437i) q^{98} +(-0.0264126 - 0.0457479i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9}+O(q^{10}) \) 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9	\( 112 q + 16 q^{4} - 5 q^{5} - 26 q^{6} - 32 q^{9} - 22 q^{10} - 10 q^{11} - 20 q^{14} - 18 q^{15} - 44 q^{16} - 46 q^{19} + 35 q^{20} + 26 q^{21} + 48 q^{24} + 19 q^{25} - 78 q^{26} + 16 q^{29} + 30 q^{30} - 26 q^{31} - 4 q^{34} - 27 q^{35} - 4 q^{36} - 63 q^{40} - 16 q^{41} - 86 q^{44} - 71 q^{45} + 4 q^{46} + 42 q^{49} - 10 q^{50} + 92 q^{51} + 32 q^{54} - 39 q^{55} - 34 q^{56} + 26 q^{59} - 71 q^{60} + 40 q^{61} + 24 q^{64} - 72 q^{65} + 252 q^{66} - 4 q^{69} - 26 q^{70} + 116 q^{71} - 18 q^{74} - 58 q^{75} + 224 q^{76} - 134 q^{79} + 158 q^{80} - 60 q^{81} - 20 q^{84} - 27 q^{85} - 126 q^{86} + 82 q^{89} + 129 q^{90} + 2 q^{91} - 244 q^{94} + 96 q^{95} + 208 q^{96} + 94 q^{99}+O(q^{100}) \) 112 * q + 16 * q^4 - 5 * q^5 - 26 * q^6 - 32 * q^9 - 22 * q^10 - 10 * q^11 - 20 * q^14 - 18 * q^15 - 44 * q^16 - 46 * q^19 + 35 * q^20 + 26 * q^21 + 48 * q^24 + 19 * q^25 - 78 * q^26 + 16 * q^29 + 30 * q^30 - 26 * q^31 - 4 * q^34 - 27 * q^35 - 4 * q^36 - 63 * q^40 - 16 * q^41 - 86 * q^44 - 71 * q^45 + 4 * q^46 + 42 * q^49 - 10 * q^50 + 92 * q^51 + 32 * q^54 - 39 * q^55 - 34 * q^56 + 26 * q^59 - 71 * q^60 + 40 * q^61 + 24 * q^64 - 72 * q^65 + 252 * q^66 - 4 * q^69 - 26 * q^70 + 116 * q^71 - 18 * q^74 - 58 * q^75 + 224 * q^76 - 134 * q^79 + 158 * q^80 - 60 * q^81 - 20 * q^84 - 27 * q^85 - 126 * q^86 + 82 * q^89 + 129 * q^90 + 2 * q^91 - 244 * q^94 + 96 * q^95 + 208 * q^96 + 94 * q^99

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