LMFDB - Embedded newform 345.2.m.a.121.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [345,2,Mod(16,345)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(345, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("345.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 345 = 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	345.m (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.75483886973$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			121.1
Character	$\chi$	$=$	345.121
Dual form			345.2.m.a.211.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.883723 + 1.93508i) q^{2} +(0.959493 + 0.281733i) q^{3} +(-1.65386 - 1.90866i) q^{4} +(-0.841254 + 0.540641i) q^{5} +(-1.39310 + 1.60773i) q^{6} +(-0.350847 + 2.44020i) q^{7} +(1.07266 - 0.314961i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})$	\(q+(-0.883723 + 1.93508i) q^{2} +(0.959493 + 0.281733i) q^{3} +(-1.65386 - 1.90866i) q^{4} +(-0.841254 + 0.540641i) q^{5} +(-1.39310 + 1.60773i) q^{6} +(-0.350847 + 2.44020i) q^{7} +(1.07266 - 0.314961i) q^{8} +(0.841254 + 0.540641i) q^{9} +(-0.302750 - 2.10567i) q^{10} +(1.03763 + 2.27210i) q^{11} +(-1.04914 - 2.29729i) q^{12} +(-0.0750447 - 0.521948i) q^{13} +(-4.41193 - 2.83538i) q^{14} +(-0.959493 + 0.281733i) q^{15} +(0.380379 - 2.64560i) q^{16} +(-2.99343 + 3.45460i) q^{17} +(-1.78962 + 1.15012i) q^{18} +(-3.29988 - 3.80827i) q^{19} +(2.42321 + 0.711520i) q^{20} +(-1.02412 + 2.24251i) q^{21} -5.31368 q^{22} +(-2.17254 + 4.27552i) q^{23} +1.11794 q^{24} +(0.415415 - 0.909632i) q^{25} +(1.07633 + 0.316039i) q^{26} +(0.654861 + 0.755750i) q^{27} +(5.23775 - 3.36610i) q^{28} +(-0.853849 + 0.985395i) q^{29} +(0.302750 - 2.10567i) q^{30} +(1.00958 - 0.296440i) q^{31} +(6.66425 + 4.28285i) q^{32} +(0.355477 + 2.47240i) q^{33} +(-4.03958 - 8.84544i) q^{34} +(-1.02412 - 2.24251i) q^{35} +(-0.359418 - 2.49981i) q^{36} +(-3.98079 - 2.55830i) q^{37} +(10.2855 - 3.02009i) q^{38} +(0.0750447 - 0.521948i) q^{39} +(-0.732097 + 0.844885i) q^{40} +(-2.07680 + 1.33468i) q^{41} +(-3.43440 - 3.96351i) q^{42} +(11.7472 + 3.44928i) q^{43} +(2.62056 - 5.73822i) q^{44} -1.00000 q^{45} +(-6.35356 - 7.98243i) q^{46} +6.76385 q^{47} +(1.11032 - 2.43127i) q^{48} +(0.884988 + 0.259856i) q^{49} +(1.39310 + 1.60773i) q^{50} +(-3.84545 + 2.47132i) q^{51} +(-0.872106 + 1.00646i) q^{52} +(0.343110 - 2.38638i) q^{53} +(-2.04115 + 0.599337i) q^{54} +(-2.10130 - 1.35042i) q^{55} +(0.392227 + 2.72800i) q^{56} +(-2.09330 - 4.58369i) q^{57} +(-1.15225 - 2.52309i) q^{58} +(-0.213111 - 1.48222i) q^{59} +(2.12460 + 1.36540i) q^{60} +(6.19515 - 1.81906i) q^{61} +(-0.318554 + 2.21559i) q^{62} +(-1.61442 + 1.86314i) q^{63} +(-9.68002 + 6.22097i) q^{64} +(0.345318 + 0.398518i) q^{65} +(-5.09844 - 1.49704i) q^{66} +(-3.70195 + 8.10614i) q^{67} +11.5444 q^{68} +(-3.28909 + 3.49025i) q^{69} +5.24447 q^{70} +(1.17562 - 2.57426i) q^{71} +(1.07266 + 0.314961i) q^{72} +(9.74573 + 11.2472i) q^{73} +(8.46844 - 5.44234i) q^{74} +(0.654861 - 0.755750i) q^{75} +(-1.81113 + 12.5967i) q^{76} +(-5.90841 + 1.73487i) q^{77} +(0.943694 + 0.606475i) q^{78} +(2.16388 + 15.0501i) q^{79} +(1.11032 + 2.43127i) q^{80} +(0.415415 + 0.909632i) q^{81} +(-0.747397 - 5.19826i) q^{82} +(-0.591590 - 0.380192i) q^{83} +(5.97392 - 1.75410i) q^{84} +(0.650534 - 4.52456i) q^{85} +(-17.0559 + 19.6835i) q^{86} +(-1.09688 + 0.704922i) q^{87} +(1.82865 + 2.11037i) q^{88} +(6.81425 + 2.00085i) q^{89} +(0.883723 - 1.93508i) q^{90} +1.29998 q^{91} +(11.7536 - 2.92447i) q^{92} +1.05220 q^{93} +(-5.97737 + 13.0886i) q^{94} +(4.83494 + 1.41967i) q^{95} +(5.18768 + 5.98690i) q^{96} +(2.79860 - 1.79855i) q^{97} +(-1.28493 + 1.48288i) q^{98} +(-0.355477 + 2.47240i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9	\( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9} - 7 q^{11} - 2 q^{12} + 7 q^{13} - 47 q^{14} - 3 q^{15} + 26 q^{16} + 15 q^{17} - 7 q^{19} - 2 q^{20} - 12 q^{21} - 18 q^{22} + 12 q^{23} - 3 q^{25} - 18 q^{26} + 3 q^{27} + 2 q^{28} - 6 q^{29} + 22 q^{31} + 33 q^{32} - 4 q^{33} - 53 q^{34} - 12 q^{35} - 9 q^{36} - 23 q^{37} + 21 q^{38} - 7 q^{39} + 11 q^{40} + 26 q^{41} + 3 q^{42} - 19 q^{43} - 47 q^{44} - 30 q^{45} - 44 q^{46} + 14 q^{47} + 7 q^{48} + 2 q^{49} - 11 q^{50} - 15 q^{51} + 55 q^{52} - 14 q^{53} - 11 q^{54} - 4 q^{55} + 6 q^{56} - 26 q^{57} - 18 q^{58} + 40 q^{59} - 9 q^{60} + 37 q^{61} + 19 q^{62} - 10 q^{63} + 14 q^{64} + 4 q^{65} - 4 q^{66} - 108 q^{67} + 54 q^{68} + 21 q^{69} - 30 q^{70} + 39 q^{71} + 22 q^{72} + 57 q^{73} - 11 q^{74} + 3 q^{75} + 22 q^{76} + 2 q^{77} + 7 q^{78} + 55 q^{79} + 7 q^{80} - 3 q^{81} - 26 q^{82} - 79 q^{83} - 2 q^{84} + 18 q^{85} - 44 q^{86} - 5 q^{87} - 8 q^{88} - 30 q^{89} + 40 q^{91} + 35 q^{92} + 44 q^{93} - 29 q^{94} + 7 q^{95} + 22 q^{96} - 52 q^{97} + 28 q^{98} + 4 q^{99}+O(q^{100}) \) 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9 - 7 * q^11 - 2 * q^12 + 7 * q^13 - 47 * q^14 - 3 * q^15 + 26 * q^16 + 15 * q^17 - 7 * q^19 - 2 * q^20 - 12 * q^21 - 18 * q^22 + 12 * q^23 - 3 * q^25 - 18 * q^26 + 3 * q^27 + 2 * q^28 - 6 * q^29 + 22 * q^31 + 33 * q^32 - 4 * q^33 - 53 * q^34 - 12 * q^35 - 9 * q^36 - 23 * q^37 + 21 * q^38 - 7 * q^39 + 11 * q^40 + 26 * q^41 + 3 * q^42 - 19 * q^43 - 47 * q^44 - 30 * q^45 - 44 * q^46 + 14 * q^47 + 7 * q^48 + 2 * q^49 - 11 * q^50 - 15 * q^51 + 55 * q^52 - 14 * q^53 - 11 * q^54 - 4 * q^55 + 6 * q^56 - 26 * q^57 - 18 * q^58 + 40 * q^59 - 9 * q^60 + 37 * q^61 + 19 * q^62 - 10 * q^63 + 14 * q^64 + 4 * q^65 - 4 * q^66 - 108 * q^67 + 54 * q^68 + 21 * q^69 - 30 * q^70 + 39 * q^71 + 22 * q^72 + 57 * q^73 - 11 * q^74 + 3 * q^75 + 22 * q^76 + 2 * q^77 + 7 * q^78 + 55 * q^79 + 7 * q^80 - 3 * q^81 - 26 * q^82 - 79 * q^83 - 2 * q^84 + 18 * q^85 - 44 * q^86 - 5 * q^87 - 8 * q^88 - 30 * q^89 + 40 * q^91 + 35 * q^92 + 44 * q^93 - 29 * q^94 + 7 * q^95 + 22 * q^96 - 52 * q^97 + 28 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/345\mathbb{Z}\right)^\times$.

$n$	$116$	$166$	$277$
$\chi(n)$	$1$	$e\left(\frac{9}{11}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.883723	+	1.93508i	−0.624887	+	1.36831i	0.287025	+	0.957923i	$0.407334\pi$
$2$	−0.883723	+	1.93508i	−0.624887	+	1.36831i	−0.911911	+	0.410388i	$0.865393\pi$
$3$	0.959493	+	0.281733i	0.553964	+	0.162658i
$3$	0.959493	+	0.281733i	0.553964	+	0.162658i
$4$	−1.65386	−	1.90866i	−0.826930	−	0.954329i
$5$	−0.841254	+	0.540641i	−0.376220	+	0.241782i
$5$	−0.841254	+	0.540641i	−0.376220	+	0.241782i
$6$	−1.39310	+	1.60773i	−0.568732	+	0.656351i
$7$	−0.350847	+	2.44020i	−0.132608	+	0.922307i	0.809529	+	0.587080i	$0.199722\pi$
$7$	−0.350847	+	2.44020i	−0.132608	+	0.922307i	−0.942137	+	0.335228i	$0.891187\pi$
$8$	1.07266	−	0.314961i	0.379242	−	0.111356i
$9$	0.841254	+	0.540641i	0.280418	+	0.180214i
$10$	−0.302750	−	2.10567i	−0.0957380	−	0.665872i
$11$	1.03763	+	2.27210i	0.312858	+	0.685063i	0.999105	−	0.0423057i	$-0.0134703\pi$
$11$	1.03763	+	2.27210i	0.312858	+	0.685063i	−0.686247	+	0.727369i	$0.740743\pi$
$12$	−1.04914	−	2.29729i	−0.302860	−	0.663170i
$13$	−0.0750447	−	0.521948i	−0.0208137	−	0.144762i	0.976765	−	0.214315i	$-0.0687519\pi$
$13$	−0.0750447	−	0.521948i	−0.0208137	−	0.144762i	−0.997578	+	0.0695527i	$0.977843\pi$
$14$	−4.41193	−	2.83538i	−1.17914	−	0.757786i
$15$	−0.959493	+	0.281733i	−0.247740	+	0.0727430i
$16$	0.380379	−	2.64560i	0.0950949	−	0.661399i
$17$	−2.99343	+	3.45460i	−0.726013	+	0.837864i	−0.992016	−	0.126108i	$-0.959751\pi$
$17$	−2.99343	+	3.45460i	−0.726013	+	0.837864i	0.266004	+	0.963972i	$0.414297\pi$
$18$	−1.78962	+	1.15012i	−0.421818	+	0.271086i
$19$	−3.29988	−	3.80827i	−0.757045	−	0.873676i	0.238187	−	0.971219i	$-0.423447\pi$
$19$	−3.29988	−	3.80827i	−0.757045	−	0.873676i	−0.995231	+	0.0975433i	$0.968902\pi$
$20$	2.42321	+	0.711520i	0.541847	+	0.159101i
$21$	−1.02412	+	2.24251i	−0.223481	+	0.489355i
$22$	−5.31368			−1.13288
$23$	−2.17254	+	4.27552i	−0.453007	+	0.891507i
$23$	−2.17254	+	4.27552i	−0.453007	+	0.891507i
$24$	1.11794			0.228199
$25$	0.415415	−	0.909632i	0.0830830	−	0.181926i
$26$	1.07633	+	0.316039i	0.211086	+	0.0619804i
$27$	0.654861	+	0.755750i	0.126028	+	0.145444i
$28$	5.23775	−	3.36610i	0.989842	−	0.636133i
$29$	−0.853849	+	0.985395i	−0.158556	+	0.182983i	−0.829469	−	0.558553i	$-0.811357\pi$
$29$	−0.853849	+	0.985395i	−0.158556	+	0.182983i	0.670913	+	0.741536i	$0.265902\pi$
$30$	0.302750	−	2.10567i	0.0552743	−	0.384442i
$31$	1.00958	−	0.296440i	0.181326	−	0.0532421i	−0.189809	−	0.981821i	$-0.560787\pi$
$31$	1.00958	−	0.296440i	0.181326	−	0.0532421i	0.371135	+	0.928579i	$0.378969\pi$
$32$	6.66425	+	4.28285i	1.17808	+	0.757108i
$33$	0.355477	+	2.47240i	0.0618806	+	0.430389i
$34$	−4.03958	−	8.84544i	−0.692782	−	1.51698i
$35$	−1.02412	−	2.24251i	−0.173108	−	0.379053i
$36$	−0.359418	−	2.49981i	−0.0599031	−	0.416635i
$37$	−3.98079	−	2.55830i	−0.654438	−	0.420582i	0.170847	−	0.985298i	$-0.445350\pi$
$37$	−3.98079	−	2.55830i	−0.654438	−	0.420582i	−0.825286	+	0.564716i	$0.808986\pi$
$38$	10.2855	−	3.02009i	1.66853	−	0.489924i
$39$	0.0750447	−	0.521948i	0.0120168	−	0.0835785i
$40$	−0.732097	+	0.844885i	−0.115755	+	0.133588i
$41$	−2.07680	+	1.33468i	−0.324341	+	0.208441i	−0.692671	−	0.721254i	$-0.743566\pi$
$41$	−2.07680	+	1.33468i	−0.324341	+	0.208441i	0.368330	+	0.929695i	$0.379930\pi$
$42$	−3.43440	−	3.96351i	−0.529939	−	0.611583i
$43$	11.7472	+	3.44928i	1.79142	+	0.526010i	0.996716	−	0.0809818i	$-0.0258056\pi$
$43$	11.7472	+	3.44928i	1.79142	+	0.526010i	0.794708	+	0.606991i	$0.207624\pi$
$44$	2.62056	−	5.73822i	0.395064	−	0.865069i
$45$	−1.00000			−0.149071
$46$	−6.35356	−	7.98243i	−0.936781	−	1.17694i
$47$	6.76385			0.986608			0.493304	−	0.869857i	$-0.335789\pi$
$47$	6.76385			0.986608			0.493304	+	0.869857i	$0.335789\pi$
$48$	1.11032	−	2.43127i	0.160261	−	0.350923i
$49$	0.884988	+	0.259856i	0.126427	+	0.0371223i
$50$	1.39310	+	1.60773i	0.197014	+	0.227367i
$51$	−3.84545	+	2.47132i	−0.538470	+	0.346054i
$52$	−0.872106	+	1.00646i	−0.120939	+	0.139571i
$53$	0.343110	−	2.38638i	0.0471298	−	0.327795i	−0.952593	−	0.304248i	$-0.901595\pi$
$53$	0.343110	−	2.38638i	0.0471298	−	0.327795i	0.999723	−	0.0235471i	$-0.00749597\pi$
$54$	−2.04115	+	0.599337i	−0.277766	+	0.0815594i
$55$	−2.10130	−	1.35042i	−0.283339	−	0.182091i
$56$	0.392227	+	2.72800i	0.0524136	+	0.364544i
$57$	−2.09330	−	4.58369i	−0.277264	−	0.607124i
$58$	−1.15225	−	2.52309i	−0.151298	−	0.331297i
$59$	−0.213111	−	1.48222i	−0.0277447	−	0.192968i	0.971235	−	0.238121i	$-0.0765316\pi$
$59$	−0.213111	−	1.48222i	−0.0277447	−	0.192968i	−0.998980	+	0.0451529i	$0.985623\pi$
$60$	2.12460	+	1.36540i	0.274285	+	0.176272i
$61$	6.19515	−	1.81906i	0.793208	−	0.232907i	0.140066	−	0.990142i	$-0.455269\pi$
$61$	6.19515	−	1.81906i	0.793208	−	0.232907i	0.653142	+	0.757235i	$0.273450\pi$
$62$	−0.318554	+	2.21559i	−0.0404564	+	0.281381i
$63$	−1.61442	+	1.86314i	−0.203398	+	0.234734i
$64$	−9.68002	+	6.22097i	−1.21000	+	0.777621i
$65$	0.345318	+	0.398518i	0.0428314	+	0.0494301i
$66$	−5.09844	−	1.49704i	−0.627574	−	0.184272i
$67$	−3.70195	+	8.10614i	−0.452265	+	0.990323i	0.536918	+	0.843635i	$0.319589\pi$
$67$	−3.70195	+	8.10614i	−0.452265	+	0.990323i	−0.989183	+	0.146688i	$0.953139\pi$
$68$	11.5444			1.39996
$69$	−3.28909	+	3.49025i	−0.395960	+	0.420177i
$70$	5.24447			0.626834
$71$	1.17562	−	2.57426i	0.139521	−	0.305508i	−0.826954	−	0.562270i	$-0.809928\pi$
$71$	1.17562	−	2.57426i	0.139521	−	0.305508i	0.966475	+	0.256762i	$0.0826555\pi$
$72$	1.07266	+	0.314961i	0.126414	+	0.0371185i
$73$	9.74573	+	11.2472i	1.14065	+	1.31638i	0.941731	+	0.336366i	$0.109198\pi$
$73$	9.74573	+	11.2472i	1.14065	+	1.31638i	0.198920	+	0.980016i	$0.436256\pi$
$74$	8.46844	−	5.44234i	0.984436	−	0.632659i
$75$	0.654861	−	0.755750i	0.0756168	−	0.0872664i
$76$	−1.81113	+	12.5967i	−0.207751	+	1.44494i
$77$	−5.90841	+	1.73487i	−0.673326	+	0.197706i
$78$	0.943694	+	0.606475i	0.106852	+	0.0686698i
$79$	2.16388	+	15.0501i	0.243455	+	1.69327i	0.634520	+	0.772906i	$0.281198\pi$
$79$	2.16388	+	15.0501i	0.243455	+	1.69327i	−0.391065	+	0.920363i	$0.627893\pi$
$80$	1.11032	+	2.43127i	0.124138	+	0.271824i
$81$	0.415415	+	0.909632i	0.0461572	+	0.101070i
$82$	−0.747397	−	5.19826i	−0.0825361	−	0.574051i
$83$	−0.591590	−	0.380192i	−0.0649355	−	0.0417315i	0.507770	−	0.861493i	$-0.330470\pi$
$83$	−0.591590	−	0.380192i	−0.0649355	−	0.0417315i	−0.572706	+	0.819761i	$0.694106\pi$
$84$	5.97392	−	1.75410i	0.651809	−	0.191388i
$85$	0.650534	−	4.52456i	0.0705603	−	0.490758i
$86$	−17.0559	+	19.6835i	−1.83918	+	2.12253i
$87$	−1.09688	+	0.704922i	−0.117598	+	0.0755756i
$88$	1.82865	+	2.11037i	0.194934	+	0.224966i
$89$	6.81425	+	2.00085i	0.722309	+	0.212089i	0.622168	−	0.782884i	$-0.286252\pi$
$89$	6.81425	+	2.00085i	0.722309	+	0.212089i	0.100142	+	0.994973i	$0.468070\pi$
$90$	0.883723	−	1.93508i	0.0931526	−	0.203976i
$91$	1.29998			0.136275
$92$	11.7536	−	2.92447i	1.22540	−	0.304897i
$93$	1.05220			0.109108
$94$	−5.97737	+	13.0886i	−0.616518	+	1.34999i
$95$	4.83494	+	1.41967i	0.496054	+	0.145655i
$96$	5.18768	+	5.98690i	0.529465	+	0.611036i
$97$	2.79860	−	1.79855i	0.284155	−	0.182615i	−0.390797	−	0.920477i	$-0.627801\pi$
$97$	2.79860	−	1.79855i	0.284155	−	0.182615i	0.674952	+	0.737862i	$0.264164\pi$
$98$	−1.28493	+	1.48288i	−0.129797	+	0.149794i
$99$	−0.355477	+	2.47240i	−0.0357268	+	0.248485i
$100$	−2.42321	+	0.711520i	−0.242321	+	0.0711520i
$101$	−2.25245	−	1.44756i	−0.224127	−	0.144038i	0.423759	−	0.905775i	$-0.360710\pi$
$101$	−2.25245	−	1.44756i	−0.224127	−	0.144038i	−0.647886	+	0.761737i	$0.724347\pi$
$102$	−1.38390	−	9.62522i	−0.137026	−	0.953039i
$103$	−2.36702	−	5.18305i	−0.233229	−	0.510701i	0.756441	−	0.654062i	$-0.226936\pi$
$103$	−2.36702	−	5.18305i	−0.233229	−	0.510701i	−0.989671	+	0.143361i	$0.954209\pi$
$104$	−0.244890	−	0.536235i	−0.0240135	−	0.0525822i
$105$	−0.350847	−	2.44020i	−0.0342392	−	0.238139i
$106$	4.31464	+	2.77285i	0.419074	+	0.269323i
$107$	16.5418	−	4.85711i	1.59916	−	0.469555i	0.643846	−	0.765155i	$-0.277338\pi$
$107$	16.5418	−	4.85711i	1.59916	−	0.469555i	0.955312	+	0.295600i	$0.0955197\pi$
$108$	0.359418	−	2.49981i	0.0345850	−	0.240544i
$109$	−11.1168	+	12.8295i	−1.06480	+	1.22884i	−0.0923470	+	0.995727i	$0.529437\pi$
$109$	−11.1168	+	12.8295i	−1.06480	+	1.22884i	−0.972449	+	0.233114i	$0.925109\pi$
$110$	4.47015	−	2.87279i	0.426212	−	0.273910i
$111$	−3.09879	−	3.57619i	−0.294124	−	0.339437i
$112$	6.32232	+	1.85640i	0.597403	+	0.175413i
$113$	−2.23536	+	4.89475i	−0.210285	+	0.460459i	−0.985156	−	0.171659i	$-0.945087\pi$
$113$	−2.23536	+	4.89475i	−0.210285	+	0.460459i	0.774872	+	0.632119i	$0.217814\pi$
$114$	10.7197			1.00399
$115$	−0.483859	−	4.77136i	−0.0451201	−	0.444932i
$116$	3.29293			0.305741
$117$	0.219055	−	0.479663i	0.0202516	−	0.0443448i
$118$	3.05655	+	0.897484i	0.281378	+	0.0826201i
$119$	−7.37967	−	8.51659i	−0.676493	−	0.780714i
$120$	−0.940473	+	0.604406i	−0.0858531	+	0.0551744i
$121$	3.11772	−	3.59805i	0.283429	−	0.327095i
$122$	−1.95476	+	13.5957i	−0.176976	+	1.23090i
$123$	−2.36869	+	0.695511i	−0.213578	+	0.0627121i
$124$	−2.23551	−	1.43667i	−0.200754	−	0.129017i
$125$	0.142315	+	0.989821i	0.0127290	+	0.0885323i
$126$	−2.17863	−	4.77054i	−0.194088	−	0.424994i
$127$	−8.28989	−	18.1523i	−0.735609	−	1.61076i	−0.790645	−	0.612274i	$-0.790255\pi$
$127$	−8.28989	−	18.1523i	−0.735609	−	1.61076i	0.0550366	−	0.998484i	$-0.482472\pi$
$128$	−1.22886	−	8.54692i	−0.108617	−	0.755448i
$129$	10.2995	+	6.61911i	0.906824	+	0.582780i
$130$	−1.07633	+	0.316039i	−0.0944005	+	0.0277185i
$131$	3.04018	−	21.1449i	0.265622	−	1.84744i	−0.222838	−	0.974856i	$-0.571532\pi$
$131$	3.04018	−	21.1449i	0.265622	−	1.84744i	0.488460	−	0.872586i	$-0.337559\pi$
$132$	4.13105	−	4.76748i	0.359561	−	0.414956i
$133$	10.4507	−	6.71624i	0.906188	−	0.582372i
$134$	−12.4146	−	14.3272i	−1.07245	−	1.23768i
$135$	−0.959493	−	0.281733i	−0.0825800	−	0.0242477i
$136$	−2.12286	+	4.64842i	−0.182034	+	0.398599i
$137$	−11.7144			−1.00083			−0.500413	−	0.865787i	$-0.666818\pi$
$137$	−11.7144			−1.00083			−0.500413	+	0.865787i	$0.666818\pi$
$138$	−3.84728	−	9.44909i	−0.327503	−	0.804360i
$139$	5.99314			0.508331			0.254166	−	0.967161i	$-0.418199\pi$
$139$	5.99314			0.508331			0.254166	+	0.967161i	$0.418199\pi$
$140$	−2.58643	+	5.66348i	−0.218593	+	0.478652i
$141$	6.48986	+	1.90560i	0.546545	+	0.160480i
$142$	3.94248	+	4.54987i	0.330846	+	0.381816i
$143$	1.10805	−	0.712098i	0.0926595	−	0.0595487i
$144$	1.75031	−	2.01997i	0.145859	−	0.168331i
$145$	0.185559	−	1.29059i	0.0154099	−	0.107178i
$146$	−30.3768	+	8.91942i	−2.51400	+	0.738176i
$147$	0.775930	+	0.498660i	0.0639976	+	0.0411288i
$148$	1.70076	+	11.8290i	0.139802	+	0.972341i
$149$	−0.123833	−	0.271157i	−0.0101448	−	0.0222140i	0.904492	−	0.426491i	$-0.140250\pi$
$149$	−0.123833	−	0.271157i	−0.0101448	−	0.0222140i	−0.914637	+	0.404277i	$0.867523\pi$
$150$	0.883723	+	1.93508i	0.0721557	+	0.157999i
$151$	1.04748	+	7.28540i	0.0852429	+	0.592877i	0.987010	+	0.160656i	$0.0513609\pi$
$151$	1.04748	+	7.28540i	0.0852429	+	0.592877i	−0.901768	+	0.432221i	$0.857730\pi$
$152$	−4.73910	−	3.04563i	−0.384392	−	0.247034i
$153$	−4.38593	+	1.28783i	−0.354581	+	0.104114i
$154$	1.86429	−	12.9664i	0.150229	−	1.04486i
$155$	−0.689046	+	0.795201i	−0.0553455	+	0.0638721i
$156$	−1.12033	+	0.719994i	−0.0896984	+	0.0576457i
$157$	9.40424	+	10.8531i	0.750540	+	0.866169i	0.994621	−	0.103586i	$-0.0330316\pi$
$157$	9.40424	+	10.8531i	0.750540	+	0.866169i	−0.244081	+	0.969755i	$0.578486\pi$
$158$	−31.0355	−	9.11284i	−2.46905	−	0.724979i
$159$	1.00153	−	2.19305i	0.0794268	−	0.173920i
$160$	−7.92181			−0.626274
$161$	−9.67087	−	6.80149i	−0.762171	−	0.536032i
$162$	−2.12733			−0.167139
$163$	3.91075	−	8.56335i	0.306314	−	0.670733i	−0.692396	−	0.721518i	$-0.743445\pi$
$163$	3.91075	−	8.56335i	0.306314	−	0.670733i	0.998710	+	0.0507843i	$0.0161721\pi$
$164$	5.98217	+	1.75652i	0.467129	+	0.137161i
$165$	−1.63572	−	1.88773i	−0.127341	−	0.146959i
$166$	1.25851	−	0.808792i	0.0976790	−	0.0627745i
$167$	−13.2031	+	15.2372i	−1.02169	+	1.17909i	−0.0379878	+	0.999278i	$0.512095\pi$
$167$	−13.2031	+	15.2372i	−1.02169	+	1.17909i	−0.983701	+	0.179813i	$0.942451\pi$
$168$	−0.392227	+	2.72800i	−0.0302610	+	0.210470i
$169$	12.2066	−	3.58418i	0.938970	−	0.275706i
$170$	8.18052	+	5.25730i	0.627417	+	0.403216i
$171$	−0.717133	−	4.98777i	−0.0548405	−	0.381424i
$172$	−12.8447	−	28.1259i	−0.979397	−	2.14458i
$173$	−4.98287	−	10.9110i	−0.378841	−	0.829546i	−0.998984	−	0.0450574i	$-0.985653\pi$
$173$	−4.98287	−	10.9110i	−0.378841	−	0.829546i	0.620144	−	0.784488i	$-0.287074\pi$
$174$	−0.394745	−	2.74551i	−0.0299255	−	0.208137i
$175$	2.07393	+	1.33284i	0.156775	+	0.100753i
$176$	6.40575	−	1.88090i	0.482851	−	0.141778i
$177$	0.213111	−	1.48222i	0.0160184	−	0.111410i
$178$	−9.89372	+	11.4180i	−0.741565	+	0.855812i
$179$	3.43974	−	2.21059i	0.257098	−	0.165227i	−0.405743	−	0.913987i	$-0.632987\pi$
$179$	3.43974	−	2.21059i	0.257098	−	0.165227i	0.662841	+	0.748760i	$0.269351\pi$
$180$	1.65386	+	1.90866i	0.123272	+	0.142263i
$181$	−15.0022	−	4.40504i	−1.11510	−	0.327424i	−0.328267	−	0.944585i	$-0.606465\pi$
$181$	−15.0022	−	4.40504i	−1.11510	−	0.327424i	−0.786837	+	0.617161i	$0.788283\pi$
$182$	−1.14883	+	2.51558i	−0.0851566	+	0.186467i
$183$	6.45669			0.477292
$184$	−0.983776	+	5.27044i	−0.0725250	+	0.388542i
$185$	4.73198			0.347902
$186$	−0.929855	+	2.03610i	−0.0681803	+	0.149294i
$187$	−10.9553	−	3.21676i	−0.801128	−	0.235232i
$188$	−11.1865	−	12.9099i	−0.815857	−	0.941549i
$189$	−2.07393	+	1.33284i	−0.150856	+	0.0969495i
$190$	−7.01992	+	8.10142i	−0.509279	+	0.587739i
$191$	3.16815	−	22.0350i	0.229239	−	1.59440i	−0.472085	−	0.881553i	$-0.656498\pi$
$191$	3.16815	−	22.0350i	0.229239	−	1.59440i	0.701324	−	0.712842i	$-0.252592\pi$
$192$	−11.0406	+	3.24180i	−0.796784	+	0.233957i
$193$	−4.00702	−	2.57515i	−0.288432	−	0.185364i	0.388422	−	0.921482i	$-0.373020\pi$
$193$	−4.00702	−	2.57515i	−0.288432	−	0.185364i	−0.676853	+	0.736118i	$0.736657\pi$
$194$	1.00716	+	7.00494i	0.0723098	+	0.502926i
$195$	0.219055	+	0.479663i	0.0156868	+	0.0343493i
$196$	−0.967671	−	2.11890i	−0.0691194	−	0.151350i
$197$	1.95714	+	13.6122i	0.139440	+	0.969828i	0.932625	+	0.360847i	$0.117512\pi$
$197$	1.95714	+	13.6122i	0.139440	+	0.969828i	−0.793185	+	0.608981i	$0.791579\pi$
$198$	−4.47015	−	2.87279i	−0.317680	−	0.204160i
$199$	−2.55596	+	0.750498i	−0.181187	+	0.0532014i	−0.371068	−	0.928606i	$-0.621008\pi$
$199$	−2.55596	+	0.750498i	−0.181187	+	0.0532014i	0.189880	+	0.981807i	$0.439190\pi$
$200$	0.159100	−	1.10656i	0.0112501	−	0.0782459i
$201$	−5.83576	+	6.73483i	−0.411623	+	0.475038i
$202$	4.79170	−	3.07944i	0.337143	−	0.216669i
$203$	−2.10499	−	2.42928i	−0.147741	−	0.170502i
$204$	11.0767	+	3.25242i	0.775526	+	0.227715i
$205$	1.02553	−	2.24560i	0.0716262	−	0.156840i
$206$	12.1214			0.844540
$207$	−4.13918	+	2.42223i	−0.287693	+	0.168357i
$208$	−1.40941			−0.0977249
$209$	5.22869	−	11.4492i	0.361676	−	0.791960i
$210$	5.03204	+	1.47754i	0.347243	+	0.101960i
$211$	1.11398	+	1.28560i	0.0766893	+	0.0885042i	0.792798	−	0.609485i	$-0.208624\pi$
$211$	1.11398	+	1.28560i	0.0766893	+	0.0885042i	−0.716108	+	0.697989i	$0.754078\pi$
$212$	−5.12224	+	3.29187i	−0.351797	+	0.226086i
$213$	1.85326	−	2.13877i	0.126983	−	0.146546i
$214$	−5.21946	+	36.3021i	−0.356795	+	2.48156i
$215$	−11.7472	+	3.44928i	−0.801149	+	0.235239i
$216$	0.940473	+	0.604406i	0.0639911	+	0.0411246i
$217$	0.369162	+	2.56758i	0.0250604	+	0.174299i
$218$	−15.0019	−	32.8496i	−1.01606	−	2.22486i
$219$	6.18227	+	13.5373i	0.417759	+	0.914764i
$220$	0.897762	+	6.24407i	0.0605271	+	0.420975i
$221$	2.02776	+	1.30316i	0.136402	+	0.0876602i
$222$	9.65870	−	2.83605i	0.648249	−	0.190343i
$223$	3.60908	−	25.1017i	0.241682	−	1.68093i	−0.401998	−	0.915640i	$-0.631684\pi$
$223$	3.60908	−	25.1017i	0.241682	−	1.68093i	0.643680	−	0.765295i	$-0.277407\pi$
$224$	−12.7891	+	14.7594i	−0.854510	+	0.986157i
$225$	0.841254	−	0.540641i	0.0560836	−	0.0360427i
$226$	−7.49631	−	8.65120i	−0.498647	−	0.575470i
$227$	4.92441	+	1.44594i	0.326844	+	0.0959702i	0.441038	−	0.897488i	$-0.354610\pi$
$227$	4.92441	+	1.44594i	0.326844	+	0.0959702i	−0.114194	+	0.993458i	$0.536429\pi$
$228$	−5.28666	+	11.5762i	−0.350118	+	0.766651i
$229$	8.56535			0.566014			0.283007	−	0.959118i	$-0.408668\pi$
$229$	8.56535			0.566014			0.283007	+	0.959118i	$0.408668\pi$
$230$	9.66058	+	3.28025i	0.637000	+	0.216294i
$231$	−6.15785			−0.405157
$232$	−0.605528	+	1.32592i	−0.0397549	+	0.0870510i
$233$	1.71900	+	0.504745i	0.112616	+	0.0330669i	0.337555	−	0.941306i	$-0.390400\pi$
$233$	1.71900	+	0.504745i	0.112616	+	0.0330669i	−0.224939	+	0.974373i	$0.572218\pi$
$234$	0.734604	+	0.847778i	0.0480225	+	0.0554210i
$235$	−5.69011	+	3.65681i	−0.371182	+	0.238544i
$236$	−2.47659	+	2.85814i	−0.161212	+	0.186049i
$237$	−2.16388	+	15.0501i	−0.140559	+	0.977610i
$238$	23.0019	−	6.75396i	1.49099	−	0.437795i
$239$	3.88919	+	2.49943i	0.251571	+	0.161675i	0.660348	−	0.750959i	$-0.270409\pi$
$239$	3.88919	+	2.49943i	0.251571	+	0.161675i	−0.408778	+	0.912634i	$0.634045\pi$
$240$	0.380379	+	2.64560i	0.0245534	+	0.170773i
$241$	8.77574	+	19.2162i	0.565295	+	1.23782i	0.949265	+	0.314478i	$0.101829\pi$
$241$	8.77574	+	19.2162i	0.565295	+	1.23782i	−0.383970	+	0.923346i	$0.625443\pi$
$242$	4.20731	+	9.21273i	0.270456	+	0.592217i
$243$	0.142315	+	0.989821i	0.00912950	+	0.0634971i
$244$	−13.7179	−	8.81595i	−0.878197	−	0.564383i
$245$	−0.884988	+	0.259856i	−0.0565398	+	0.0166016i
$246$	0.747397	−	5.19826i	0.0476523	−	0.331429i
$247$	−1.74008	+	2.00816i	−0.110718	+	0.127776i
$248$	0.989568	−	0.635957i	0.0628376	−	0.0403833i
$249$	−0.460514	−	0.531462i	−0.0291839	−	0.0336800i
$250$	−2.04115	−	0.599337i	−0.129094	−	0.0379054i
$251$	12.9558	−	28.3693i	0.817763	−	1.79065i	0.248188	−	0.968712i	$-0.420165\pi$
$251$	12.9558	−	28.3693i	0.817763	−	1.79065i	0.569575	−	0.821939i	$-0.307108\pi$
$252$	6.22613			0.392209
$253$	−11.9687	−	0.499817i	−0.752465	−	0.0314232i
$254$	42.4522			2.66369
$255$	1.89890	−	4.15801i	0.118914	−	0.260385i
$256$	−4.45615	−	1.30844i	−0.278510	−	0.0817778i
$257$	−14.4220	−	16.6439i	−0.899622	−	1.03822i	−0.999067	−	0.0431760i	$-0.986252\pi$
$257$	−14.4220	−	16.6439i	−0.899622	−	1.03822i	0.0994456	−	0.995043i	$-0.468293\pi$
$258$	−21.9105	+	14.0810i	−1.36409	+	0.876645i
$259$	7.63940	−	8.81634i	0.474689	−	0.547821i
$260$	0.189527	−	1.31819i	0.0117539	−	0.0817505i
$261$	−1.25105	+	0.367341i	−0.0774380	+	0.0227378i
$262$	38.2306	+	24.5693i	2.36189	+	1.51790i
$263$	3.33442	+	23.1914i	0.205609	+	1.43004i	0.787268	+	0.616611i	$0.211495\pi$
$263$	3.33442	+	23.1914i	0.205609	+	1.43004i	−0.581658	+	0.813433i	$0.697596\pi$
$264$	1.16001	+	2.54007i	0.0713939	+	0.156331i
$265$	1.00153	+	2.19305i	0.0615237	+	0.134718i
$266$	3.76098	+	26.1582i	0.230601	+	1.60386i
$267$	5.97452	+	3.83959i	0.365635	+	0.234979i
$268$	21.5944	−	6.34068i	1.31909	−	0.387318i
$269$	−1.76466	+	12.2735i	−0.107593	+	0.748327i	0.862581	+	0.505919i	$0.168846\pi$
$269$	−1.76466	+	12.2735i	−0.107593	+	0.748327i	−0.970174	+	0.242408i	$0.922063\pi$
$270$	1.39310	−	1.60773i	0.0847815	−	0.0978431i
$271$	21.3169	−	13.6995i	1.29491	−	0.832186i	0.302259	−	0.953226i	$-0.402259\pi$
$271$	21.3169	−	13.6995i	1.29491	−	0.832186i	0.992648	+	0.121040i	$0.0386228\pi$
$272$	8.00084	+	9.23346i	0.485122	+	0.559861i
$273$	1.24733	+	0.366248i	0.0754916	+	0.0221663i
$274$	10.3523	−	22.6683i	0.625402	−	1.36944i
$275$	2.49782			0.150624
$276$	12.1014	+	0.505359i	0.728419	+	0.0304190i
$277$	−12.9940			−0.780736			−0.390368	−	0.920659i	$-0.627652\pi$
$277$	−12.9940			−0.780736			−0.390368	+	0.920659i	$0.627652\pi$
$278$	−5.29627	+	11.5972i	−0.317649	+	0.695555i
$279$	1.00958	+	0.296440i	0.0604420	+	0.0177474i
$280$	−1.80483	−	2.08289i	−0.107859	−	0.124476i
$281$	7.53520	−	4.84258i	0.449513	−	0.288884i	−0.296232	−	0.955116i	$-0.595730\pi$
$281$	7.53520	−	4.84258i	0.449513	−	0.288884i	0.745745	+	0.666232i	$0.232094\pi$
$282$	−9.42273	+	10.8744i	−0.561115	+	0.647562i
$283$	−2.21449	+	15.4021i	−0.131638	+	0.915559i	0.811783	+	0.583960i	$0.198497\pi$
$283$	−2.21449	+	15.4021i	−0.131638	+	0.915559i	−0.943420	+	0.331600i	$0.892412\pi$
$284$	−6.85770	+	2.01360i	−0.406930	+	0.119485i
$285$	4.23912	+	2.72432i	0.251104	+	0.161375i
$286$	0.398763	+	2.77346i	0.0235794	+	0.163998i
$287$	−2.52823	−	5.53606i	−0.149237	−	0.326783i
$288$	3.29084	+	7.20593i	0.193914	+	0.424613i
$289$	−0.554298	−	3.85523i	−0.0326058	−	0.226778i
$290$	2.33342	+	1.49960i	0.137023	+	0.0880595i
$291$	3.19195	−	0.937240i	0.187115	−	0.0549420i
$292$	5.34892	−	37.2025i	0.313022	−	2.17711i
$293$	−14.4347	+	16.6585i	−0.843284	+	0.973202i	−0.999895	−	0.0144583i	$-0.995398\pi$
$293$	−14.4347	+	16.6585i	−0.843284	+	0.973202i	0.156611	+	0.987660i	$0.449943\pi$
$294$	−1.65066	+	1.06081i	−0.0962682	+	0.0618678i
$295$	0.980628	+	1.13171i	0.0570944	+	0.0658904i
$296$	−5.07579	−	1.49039i	−0.295025	−	0.0866270i
$297$	−1.03763	+	2.27210i	−0.0602095	+	0.131840i
$298$	0.634145			0.0367350
$299$	2.39463	+	0.813099i	0.138485	+	0.0470227i
$300$	−2.52552			−0.145811
$301$	−12.5384	+	27.4552i	−0.722699	+	1.58249i
$302$	−15.0235	−	4.41131i	−0.864507	−	0.253842i
$303$	−1.75339	−	2.02352i	−0.100729	−	0.116248i
$304$	−11.3303	+	7.28157i	−0.649840	+	0.417627i
$305$	−4.22823	+	4.87964i	−0.242108	+	0.279407i
$306$	1.38390	−	9.62522i	0.0791122	−	0.550237i
$307$	13.6699	−	4.01383i	0.780180	−	0.229081i	0.132692	−	0.991157i	$-0.457638\pi$
$307$	13.6699	−	4.01383i	0.780180	−	0.229081i	0.647488	+	0.762076i	$0.275820\pi$
$308$	13.0830	+	8.40791i	0.745471	+	0.479085i
$309$	−0.810905	−	5.63997i	−0.0461308	−	0.320847i
$310$	−0.929855	−	2.03610i	−0.0528122	−	0.115643i
$311$	−4.59277	−	10.0568i	−0.260432	−	0.570266i	0.733572	−	0.679612i	$-0.237852\pi$
$311$	−4.59277	−	10.0568i	−0.260432	−	0.570266i	−0.994004	+	0.109346i	$0.965124\pi$
$312$	−0.0838957	−	0.583508i	−0.00474966	−	0.0330346i
$313$	−15.1590	−	9.74208i	−0.856836	−	0.550655i	0.0368638	−	0.999320i	$-0.488263\pi$
$313$	−15.1590	−	9.74208i	−0.856836	−	0.550655i	−0.893700	+	0.448665i	$0.851900\pi$
$314$	−29.3123	+	8.60688i	−1.65419	+	0.485714i
$315$	0.350847	−	2.44020i	0.0197680	−	0.137489i
$316$	25.1467	−	29.0209i	1.41462	−	1.63255i
$317$	−16.9552	+	10.8964i	−0.952298	+	0.612005i	−0.921856	−	0.387532i	$-0.873328\pi$
$317$	−16.9552	+	10.8964i	−0.952298	+	0.612005i	−0.0304417	+	0.999537i	$0.509691\pi$
$318$	3.35866	+	3.87610i	0.188344	+	0.217361i
$319$	−3.12489	−	0.917552i	−0.174960	−	0.0513730i
$320$	4.78004	−	10.4668i	0.267212	−	0.585113i
$321$	17.2402			0.962252
$322$	21.7078	−	12.7033i	1.20973	−	0.707928i
$323$	23.0340			1.28165
$324$	1.04914	−	2.29729i	0.0582854	−	0.127627i
$325$	−0.505955	−	0.148562i	−0.0280653	−	0.00824072i
$326$	13.1148	+	15.1353i	0.726360	+	0.838265i
$327$	−14.2810	+	9.17782i	−0.789740	+	0.507535i
$328$	−1.80732	+	2.08576i	−0.0997926	+	0.115167i
$329$	−2.37308	+	16.5051i	−0.130832	+	0.909956i
$330$	5.09844	−	1.49704i	0.280660	−	0.0824091i
$331$	−1.25007	−	0.803374i	−0.0687103	−	0.0441574i	0.505835	−	0.862630i	$-0.331185\pi$
$331$	−1.25007	−	0.803374i	−0.0687103	−	0.0441574i	−0.574545	+	0.818473i	$0.694821\pi$
$332$	0.252752	+	1.75793i	0.0138716	+	0.0964788i
$333$	−1.96573	−	4.30436i	−0.107722	−	0.235877i
$334$	−17.8174	−	39.0146i	−0.974924	−	2.13479i
$335$	−1.26823	−	8.82075i	−0.0692909	−	0.481929i
$336$	5.54321	+	3.56241i	0.302407	+	0.194345i
$337$	−9.33212	+	2.74016i	−0.508353	+	0.149266i	−0.525844	−	0.850581i	$-0.676250\pi$
$337$	−9.33212	+	2.74016i	−0.508353	+	0.149266i	0.0174910	+	0.999847i	$0.494432\pi$
$338$	−3.85157	+	26.7882i	−0.209498	+	1.45709i
$339$	−3.52382	+	4.06670i	−0.191388	+	0.220873i
$340$	−9.71173	+	6.24135i	−0.526693	+	0.338485i
$341$	1.72111	+	1.98627i	0.0932034	+	0.107562i
$342$	10.2855	+	3.02009i	0.556176	+	0.163308i
$343$	−8.11342	+	17.7659i	−0.438084	+	0.959269i
$344$	13.6871			0.737957
$345$	0.879988	−	4.71441i	0.0473770	−	0.253815i
$346$	25.5171			1.37181
$347$	14.0492	−	30.7635i	0.754201	−	1.65147i	−0.00446632	−	0.999990i	$-0.501422\pi$
$347$	14.0492	−	30.7635i	0.754201	−	1.65147i	0.758667	−	0.651479i	$-0.225851\pi$
$348$	3.15954	+	0.927725i	0.169369	+	0.0497313i
$349$	−3.48851	−	4.02596i	−0.186736	−	0.215505i	0.654661	−	0.755923i	$-0.272812\pi$
$349$	−3.48851	−	4.02596i	−0.186736	−	0.215505i	−0.841397	+	0.540418i	$0.818266\pi$
$350$	−4.41193	+	2.83538i	−0.235828	+	0.151557i
$351$	0.345318	−	0.398518i	0.0184317	−	0.0212713i
$352$	−2.81602	+	19.5858i	−0.150094	+	1.04393i
$353$	−28.8958	+	8.48457i	−1.53797	+	0.451588i	−0.937478	−	0.348045i	$-0.886846\pi$
$353$	−28.8958	+	8.48457i	−1.53797	+	0.451588i	−0.600490	+	0.799633i	$0.705028\pi$
$354$	2.67989	+	1.72226i	0.142434	+	0.0915370i
$355$	0.402751	+	2.80120i	0.0213758	+	0.148672i
$356$	−7.45090	−	16.3152i	−0.394897	−	0.864704i
$357$	−4.68134	−	10.2507i	−0.247763	−	0.542524i
$358$	1.23789	+	8.60973i	0.0654246	+	0.455038i
$359$	−10.2212	−	6.56878i	−0.539456	−	0.346687i	0.242370	−	0.970184i	$-0.422075\pi$
$359$	−10.2212	−	6.56878i	−0.539456	−	0.346687i	−0.781826	+	0.623497i	$0.785711\pi$
$360$	−1.07266	+	0.314961i	−0.0565341	+	0.0165999i
$361$	−0.909691	+	6.32704i	−0.0478785	+	0.333002i
$362$	21.7819	−	25.1377i	1.14483	−	1.32121i
$363$	4.00512	−	2.57393i	0.210214	−	0.135097i
$364$	−2.14999	−	2.48122i	−0.112690	−	0.130051i
$365$	−14.2793	−	4.19278i	−0.747413	−	0.219460i
$366$	−5.70593	+	12.4942i	−0.298254	+	0.653084i
$367$	−29.2358			−1.52610			−0.763048	−	0.646342i	$-0.776298\pi$
$367$	−29.2358			−1.52610			−0.763048	+	0.646342i	$0.776298\pi$
$368$	10.4849	+	7.37399i	0.546563	+	0.384396i
$369$	−2.46869			−0.128515
$370$	−4.18176	+	9.15677i	−0.217399	+	0.476038i
$371$	5.70286	+	1.67451i	0.296078	+	0.0869363i
$372$	−1.74020	−	2.00829i	−0.0902249	−	0.104125i
$373$	6.91416	−	4.44346i	0.358002	−	0.230074i	−0.349260	−	0.937026i	$-0.613567\pi$
$373$	6.91416	−	4.44346i	0.358002	−	0.230074i	0.707261	+	0.706952i	$0.249930\pi$
$374$	15.9061	−	18.3566i	0.822485	−	0.949199i
$375$	−0.142315	+	0.989821i	−0.00734911	+	0.0511142i
$376$	7.25530	−	2.13035i	0.374163	−	0.109864i
$377$	0.578401	+	0.371716i	0.0297892	+	0.0191443i
$378$	−0.746366	−	5.19109i	−0.0383889	−	0.267001i
$379$	0.751785	+	1.64618i	0.0386166	+	0.0845585i	0.927957	−	0.372687i	$-0.121563\pi$
$379$	0.751785	+	1.64618i	0.0386166	+	0.0845585i	−0.889341	+	0.457245i	$0.848836\pi$
$380$	−5.28666	−	11.5762i	−0.271200	−	0.593845i
$381$	−2.83999	−	19.7526i	−0.145497	−	1.01195i
$382$	39.8398	+	25.6035i	2.03838	+	1.30999i
$383$	−27.6144	+	8.10832i	−1.41103	+	0.414316i	−0.896457	−	0.443131i	$-0.853868\pi$
$383$	−27.6144	+	8.10832i	−1.41103	+	0.414316i	−0.514573	+	0.857447i	$0.672050\pi$
$384$	1.22886	−	8.54692i	0.0627100	−	0.436158i
$385$	4.03253	−	4.65379i	0.205517	−	0.237179i
$386$	8.52423	−	5.47819i	0.433872	−	0.278833i
$387$	8.01751	+	9.25271i	0.407553	+	0.470341i
$388$	−8.06131	−	2.36701i	−0.409251	−	0.120167i
$389$	5.54123	−	12.1336i	0.280951	−	0.615198i	−0.715569	−	0.698542i	$-0.753833\pi$
$389$	5.54123	−	12.1336i	0.280951	−	0.615198i	0.996521	+	0.0833438i	$0.0265600\pi$
$390$	−1.12177			−0.0568031
$391$	−8.26685	−	20.3037i	−0.418073	−	1.02680i
$392$	1.03113			0.0520801
$393$	8.87425	−	19.4319i	0.447647	−	0.980210i
$394$	−28.0703	−	8.24218i	−1.41416	−	0.415235i
$395$	−9.95707	−	11.4911i	−0.500995	−	0.578179i
$396$	5.30687	−	3.41052i	0.266680	−	0.171385i
$397$	16.7651	−	19.3480i	0.841418	−	0.971048i	−0.158449	−	0.987367i	$-0.550649\pi$
$397$	16.7651	−	19.3480i	0.841418	−	0.971048i	0.999867	+	0.0163190i	$0.00519473\pi$
$398$	0.806485	−	5.60923i	0.0404255	−	0.281165i
$399$	11.9195	−	3.49989i	0.596723	−	0.175214i
$400$	−2.24850	−	1.44503i	−0.112425	−	0.0722513i
$401$	4.12306	+	28.6765i	0.205896	+	1.43203i	0.786370	+	0.617756i	$0.211958\pi$
$401$	4.12306	+	28.6765i	0.205896	+	1.43203i	−0.580474	+	0.814279i	$0.697133\pi$
$402$	−7.87526	−	17.2444i	−0.392782	−	0.860073i
$403$	−0.230490	−	0.504702i	−0.0114815	−	0.0251410i
$404$	0.962341	+	6.69323i	0.0478782	+	0.333001i
$405$	−0.841254	−	0.540641i	−0.0418022	−	0.0268647i
$406$	6.56109	−	1.92651i	0.325621	−	0.0956111i
$407$	1.68211	−	11.6993i	0.0833790	−	0.579914i
$408$	−3.34648	+	3.86205i	−0.165676	+	0.191200i
$409$	−13.1140	+	8.42783i	−0.648444	+	0.416730i	−0.823097	−	0.567900i	$-0.807756\pi$
$409$	−13.1140	+	8.42783i	−0.648444	+	0.416730i	0.174653	+	0.984630i	$0.444119\pi$
$410$	3.43914	+	3.96898i	0.169847	+	0.196014i
$411$	−11.2398	−	3.30032i	−0.554421	−	0.162793i
$412$	−5.97795	+	13.0899i	−0.294512	+	0.644892i
$413$	3.69167			0.181655
$414$	−1.02933	−	10.1502i	−0.0505886	−	0.498857i
$415$	0.703225			0.0345199
$416$	1.73531	−	3.79979i	0.0850805	−	0.186300i
$417$	5.75037	+	1.68846i	0.281597	+	0.0826843i
$418$	17.5345	+	20.2359i	0.857640	+	0.989770i
$419$	7.33134	−	4.71156i	0.358159	−	0.230175i	−0.349170	−	0.937059i	$-0.613536\pi$
$419$	7.33134	−	4.71156i	0.358159	−	0.230175i	0.707329	+	0.706885i	$0.249900\pi$
$420$	−4.07725	+	4.70539i	−0.198949	+	0.229600i
$421$	−3.80998	+	26.4990i	−0.185687	+	1.29148i	0.657333	+	0.753600i	$0.271684\pi$
$421$	−3.80998	+	26.4990i	−0.185687	+	1.29148i	−0.843020	+	0.537882i	$0.819225\pi$
$422$	−3.47218	+	1.01953i	−0.169023	+	0.0496297i
$423$	5.69011	+	3.65681i	0.276663	+	0.177800i
$424$	−0.383577	−	2.66784i	−0.0186282	−	0.129562i
$425$	1.89890	+	4.15801i	0.0921102	+	0.201693i
$426$	2.50094	+	5.47629i	0.121171	+	0.265327i
$427$	2.26531	+	15.7556i	0.109626	+	0.762467i
$428$	−36.6284	−	23.5397i	−1.77050	−	1.13783i
$429$	1.26378	−	0.371081i	0.0610161	−	0.0179159i
$430$	3.70659	−	25.7799i	0.178748	−	1.24322i
$431$	9.27477	−	10.7037i	0.446750	−	0.515577i	−0.487049	−	0.873375i	$-0.661927\pi$
$431$	9.27477	−	10.7037i	0.446750	−	0.515577i	0.933799	+	0.357798i	$0.116472\pi$
$432$	2.24850	−	1.44503i	0.108181	−	0.0695238i
$433$	8.54867	+	9.86570i	0.410823	+	0.474115i	0.923019	−	0.384753i	$-0.125713\pi$
$433$	8.54867	+	9.86570i	0.410823	+	0.474115i	−0.512196	+	0.858868i	$0.671168\pi$
$434$	−5.29472	−	1.55467i	−0.254155	−	0.0746265i
$435$	0.541645	−	1.18604i	0.0259699	−	0.0568661i
$436$	42.8727			2.05323
$437$	23.4514	−	5.83508i	1.12183	−	0.279130i
$438$	−31.6592			−1.51273
$439$	−2.04513	+	4.47820i	−0.0976086	+	0.213733i	−0.952137	−	0.305672i	$-0.901119\pi$
$439$	−2.04513	+	4.47820i	−0.0976086	+	0.213733i	0.854528	+	0.519405i	$0.173846\pi$
$440$	−2.67931	−	0.786716i	−0.127731	−	0.0375052i
$441$	0.604010	+	0.697065i	0.0287624	+	0.0331936i
$442$	−4.31371	+	2.77225i	−0.205182	+	0.131863i
$443$	19.8741	−	22.9359i	0.944247	−	1.08972i	−0.0515992	−	0.998668i	$-0.516432\pi$
$443$	19.8741	−	22.9359i	0.944247	−	1.08972i	0.995846	−	0.0910512i	$-0.0290227\pi$
$444$	−1.70076	+	11.8290i	−0.0807145	+	0.561381i
$445$	−6.81425	+	2.00085i	−0.323027	+	0.0948492i
$446$	45.3845	+	29.1668i	2.14902	+	1.38109i
$447$	−0.0424233	−	0.295061i	−0.00200656	−	0.0139559i
$448$	−11.7842	−	25.8038i	−0.556750	−	1.21911i
$449$	6.67276	+	14.6113i	0.314907	+	0.689550i	0.999214	−	0.0396440i	$-0.0126224\pi$
$449$	6.67276	+	14.6113i	0.314907	+	0.689550i	−0.684307	+	0.729194i	$0.739895\pi$
$450$	0.302750	+	2.10567i	0.0142718	+	0.0992624i
$451$	−5.18746	−	3.33378i	−0.244268	−	0.156982i
$452$	13.0394	−	3.82870i	0.613320	−	0.180087i
$453$	−1.04748	+	7.28540i	−0.0492150	+	0.342298i
$454$	−7.14982	+	8.25133i	−0.335558	+	0.387254i
$455$	−1.09362	+	0.702824i	−0.0512695	+	0.0329489i
$456$	−3.68908	−	4.25742i	−0.172757	−	0.199372i
$457$	−9.74581	−	2.86163i	−0.455890	−	0.133861i	0.0457220	−	0.998954i	$-0.485441\pi$
$457$	−9.74581	−	2.86163i	−0.455890	−	0.133861i	−0.501612	+	0.865093i	$0.667259\pi$
$458$	−7.56940	+	16.5747i	−0.353695	+	0.774483i
$459$	−4.57109			−0.213360
$460$	−8.30666	+	8.81469i	−0.387300	+	0.410987i
$461$	−14.9033			−0.694116			−0.347058	−	0.937844i	$-0.612819\pi$
$461$	−14.9033			−0.694116			−0.347058	+	0.937844i	$0.612819\pi$
$462$	5.44183	−	11.9160i	0.253177	−	0.554380i
$463$	25.4210	+	7.46427i	1.18141	+	0.346894i	0.812718	−	0.582657i	$-0.197987\pi$
$463$	25.4210	+	7.46427i	1.18141	+	0.346894i	0.368694	+	0.929551i	$0.379805\pi$
$464$	2.28217	+	2.63377i	0.105947	+	0.122269i
$465$	−0.885168	+	0.568863i	−0.0410487	+	0.0263804i
$466$	−2.49585	+	2.88036i	−0.115618	+	0.133430i
$467$	5.02112	−	34.9227i	0.232350	−	1.61603i	−0.455541	−	0.890215i	$-0.650554\pi$
$467$	5.02112	−	34.9227i	0.232350	−	1.61603i	0.687891	−	0.725814i	$-0.258537\pi$
$468$	−1.27780	+	0.375195i	−0.0590662	+	0.0173434i
$469$	−18.4818	−	11.8775i	−0.853408	−	0.548452i
$470$	−2.04775	−	14.2424i	−0.0944559	−	0.656955i
$471$	5.96564	+	13.0629i	0.274882	+	0.601908i
$472$	−0.695436	−	1.52279i	−0.0320100	−	0.0700922i
$473$	4.35213	+	30.2697i	0.200111	+	1.39180i
$474$	−27.2110	−	17.4874i	−1.24984	−	0.803224i
$475$	−4.83494	+	1.41967i	−0.221842	+	0.0651388i
$476$	−4.05031	+	28.1705i	−0.185646	+	1.29119i
$477$	1.57882	−	1.82205i	0.0722891	−	0.0834261i
$478$	−8.27357	+	5.31710i	−0.378424	+	0.243198i
$479$	−7.44170	−	8.58818i	−0.340020	−	0.392404i	0.559827	−	0.828609i	$-0.310868\pi$
$479$	−7.44170	−	8.58818i	−0.340020	−	0.392404i	−0.899847	+	0.436205i	$0.856322\pi$
$480$	−7.60092	−	2.23183i	−0.346933	−	0.101869i
$481$	−1.03656	+	2.26975i	−0.0472631	+	0.103492i
$482$	−44.9403			−2.04697
$483$	−7.36293	−	9.25058i	−0.335025	−	0.420916i
$484$	−12.0237			−0.546533
$485$	−1.38196	+	3.02607i	−0.0627516	+	0.137407i
$486$	−2.04115	−	0.599337i	−0.0925886	−	0.0271865i
$487$	−21.0211	−	24.2597i	−0.952559	−	1.09931i	−0.994966	−	0.100211i	$-0.968048\pi$
$487$	−21.0211	−	24.2597i	−0.952559	−	1.09931i	0.0424074	−	0.999100i	$-0.486497\pi$
$488$	6.07235	−	3.90246i	0.274882	−	0.176656i
$489$	6.16491	−	7.11469i	0.278787	−	0.321737i
$490$	0.279241	−	1.94217i	0.0126148	−	0.0877381i
$491$	−28.0899	+	8.24795i	−1.26768	+	0.372225i	−0.845348	−	0.534216i	$-0.820607\pi$
$491$	−28.0899	+	8.24795i	−1.26768	+	0.372225i	−0.422333	+	0.906441i	$0.638789\pi$
$492$	5.24498	+	3.37074i	0.236462	+	0.151965i
$493$	−0.848208	−	5.89942i	−0.0382014	−	0.265696i
$494$	−2.34820	−	5.14185i	−0.105651	−	0.231343i
$495$	−1.03763	−	2.27210i	−0.0466381	−	0.102123i
$496$	−0.400236	−	2.78370i	−0.0179711	−	0.124992i
$497$	5.86923	+	3.77193i	0.263271	+	0.169194i
$498$	1.43539	−	0.421469i	0.0643214	−	0.0188865i
$499$	−4.22640	+	29.3953i	−0.189200	+	1.31591i	0.644886	+	0.764278i	$0.276905\pi$
$499$	−4.22640	+	29.3953i	−0.189200	+	1.31591i	−0.834086	+	0.551634i	$0.814004\pi$
$500$	1.65386	−	1.90866i	0.0739629	−	0.0853578i
$501$	−16.9611	+	10.9003i	−0.757767	+	0.486987i
$502$	43.4475	+	50.1411i	1.93916	+	2.23791i
$503$	13.9424	+	4.09385i	0.621660	+	0.182536i	0.577370	−	0.816483i	$-0.304079\pi$
$503$	13.9424	+	4.09385i	0.621660	+	0.182536i	0.0442905	+	0.999019i	$0.485897\pi$
$504$	−1.14491	+	2.50699i	−0.0509982	+	0.111670i
$505$	2.67750			0.119147
$506$	11.5442	−	22.7187i	0.513202	−	1.00997i
$507$	12.7219			0.565001
$508$	−20.9362	+	45.8440i	−0.928896	+	2.03400i
$509$	32.5553	+	9.55911i	1.44299	+	0.423700i	0.907217	−	0.420662i	$-0.138202\pi$
$509$	32.5553	+	9.55911i	1.44299	+	0.423700i	0.535773	+	0.844362i	$0.320020\pi$
$510$	6.36800	+	7.34906i	0.281980	+	0.325422i
$511$	−30.8646	+	19.8355i	−1.36537	+	0.877469i
$512$	17.7791	−	20.5182i	0.785735	−	0.906786i
$513$	0.717133	−	4.98777i	0.0316622	−	0.220215i
$514$	44.9525	−	13.1992i	1.98277	−	0.582193i
$515$	4.79343	+	3.08055i	0.211224	+	0.135745i
$516$	−4.40039	−	30.6054i	−0.193716	−	1.34733i
$517$	7.01838	+	15.3681i	0.308668	+	0.675889i
$518$	10.3092	+	22.5741i	0.452962	+	0.991849i
$519$	−1.70706	−	11.8728i	−0.0749315	−	0.521160i
$520$	0.495926	+	0.318712i	0.0217478	+	0.0139764i
$521$	13.7279	−	4.03086i	0.601428	−	0.176595i	0.0331759	−	0.999450i	$-0.489438\pi$
$521$	13.7279	−	4.03086i	0.601428	−	0.176595i	0.568253	+	0.822854i	$0.307620\pi$
$522$	0.394745	−	2.74551i	0.0172775	−	0.120168i
$523$	−9.98115	+	11.5189i	−0.436445	+	0.503685i	−0.930776	−	0.365589i	$-0.880868\pi$
$523$	−9.98115	+	11.5189i	−0.436445	+	0.503685i	0.494331	+	0.869274i	$0.335413\pi$
$524$	−45.3865	+	29.1681i	−1.98272	+	1.27422i
$525$	1.61442	+	1.86314i	0.0704591	+	0.0813141i
$526$	−47.8241	−	14.0424i	−2.08523	−	0.612278i
$527$	−1.99803	+	4.37507i	−0.0870354	+	0.190581i
$528$	6.67618			0.290543
$529$	−13.5601	−	18.5775i	−0.589570	−	0.807717i
$530$	−5.12882			−0.222782
$531$	0.622068	−	1.36214i	0.0269954	−	0.0591118i
$532$	−30.1029	−	8.83902i	−1.30513	−	0.383220i
$533$	0.852483	+	0.983818i	0.0369251	+	0.0426139i
$534$	−12.7098	+	8.16807i	−0.550005	+	0.353467i
$535$	−11.2899	+	13.0292i	−0.488105	+	0.563303i
$536$	−1.41781	+	9.86109i	−0.0612401	+	0.425934i
$537$	3.92320	−	1.15196i	0.169299	−	0.0497105i
$538$	−22.1907	−	14.2611i	−0.956710	−	0.614840i
$539$	0.327874	+	2.28041i	0.0141225	+	0.0982243i
$540$	1.04914	+	2.29729i	0.0451477	+	0.0988596i
$541$	13.6235	+	29.8314i	0.585722	+	1.28255i	0.937993	+	0.346654i	$0.112682\pi$
$541$	13.6235	+	29.8314i	0.585722	+	1.28255i	−0.352271	+	0.935898i	$0.614590\pi$
$542$	7.67150	+	53.3565i	0.329519	+	2.29186i
$543$	−13.1535	−	8.45321i	−0.564469	−	0.362762i
$544$	−34.7445	+	10.2019i	−1.48966	+	0.437403i
$545$	2.41591	−	16.8030i	0.103486	−	0.719763i
$546$	−1.81101	+	2.09002i	−0.0775041	+	0.0894445i
$547$	−9.94003	+	6.38807i	−0.425005	+	0.273134i	−0.735610	−	0.677405i	$-0.763105\pi$
$547$	−9.94003	+	6.38807i	−0.425005	+	0.273134i	0.310605	+	0.950539i	$0.399468\pi$
$548$	19.3739	+	22.3587i	0.827613	+	0.955116i
$549$	6.19515	+	1.81906i	0.264403	+	0.0776356i
$550$	−2.20738	+	4.83349i	−0.0941230	+	0.206101i
$551$	6.57025			0.279902
$552$	−2.42878	+	4.77979i	−0.103376	+	0.203441i
$553$	−37.4844			−1.59400
$554$	11.4831	−	25.1445i	0.487871	−	1.06829i
$555$	4.54030	+	1.33315i	0.192725	+	0.0565892i
$556$	−9.91181	−	11.4388i	−0.420355	−	0.485115i
$557$	−0.422686	+	0.271644i	−0.0179098	+	0.0115099i	−0.549565	−	0.835451i	$-0.685207\pi$
$557$	−0.422686	+	0.271644i	−0.0179098	+	0.0115099i	0.531655	+	0.846961i	$0.321570\pi$
$558$	−1.46582	+	1.69165i	−0.0620533	+	0.0716133i
$559$	0.918779	−	6.39025i	0.0388602	−	0.270279i
$560$	−6.32232	+	1.85640i	−0.267167	+	0.0784472i
$561$	−9.60523	−	6.17291i	−0.405533	−	0.260620i
$562$	2.71177	+	18.8608i	0.114389	+	0.795593i
$563$	11.5514	+	25.2941i	0.486835	+	1.06602i	0.980527	+	0.196384i	$0.0629198\pi$
$563$	11.5514	+	25.2941i	0.486835	+	1.06602i	−0.493692	+	0.869637i	$0.664353\pi$
$564$	−7.09620	−	15.5385i	−0.298804	−	0.654290i
$565$	−0.765799	−	5.32625i	−0.0322174	−	0.224077i
$566$	−27.8473	−	17.8964i	−1.17051	−	0.752242i
$567$	−2.36543	+	0.694552i	−0.0993386	+	0.0291685i
$568$	0.450253	−	3.13158i	0.0188922	−	0.131398i
$569$	−13.5324	+	15.6172i	−0.567306	+	0.654706i	−0.964827	−	0.262887i	$-0.915325\pi$
$569$	−13.5324	+	15.6172i	−0.567306	+	0.654706i	0.397520	+	0.917593i	$0.369871\pi$
$570$	−9.01800	+	5.79552i	−0.377722	+	0.242747i
$571$	20.2805	+	23.4050i	0.848714	+	0.979468i	0.999959	−	0.00902808i	$-0.00287377\pi$
$571$	20.2805	+	23.4050i	0.848714	+	0.979468i	−0.151245	+	0.988496i	$0.548328\pi$
$572$	−3.19171	−	0.937170i	−0.133452	−	0.0391850i
$573$	9.24779	−	20.2498i	0.386332	−	0.845949i
$574$	12.9470			0.540397
$575$	2.98664	+	3.75233i	0.124552	+	0.156483i
$576$	−11.5067			−0.479444
$577$	5.02728	−	11.0082i	0.209288	−	0.458277i	−0.775655	−	0.631158i	$-0.782580\pi$
$577$	5.02728	−	11.0082i	0.209288	−	0.458277i	0.984943	+	0.172880i	$0.0553074\pi$
$578$	7.95004	+	2.33434i	0.330678	+	0.0970958i
$579$	−3.11920	−	3.59975i	−0.129630	−	0.149601i
$580$	−2.77019	+	1.78029i	−0.115026	+	0.0739226i
$581$	1.13530	−	1.31021i	0.0471002	−	0.0543565i
$582$	−1.00716	+	7.00494i	−0.0417481	+	0.290364i
$583$	5.77811	−	1.69661i	0.239305	−	0.0702663i
$584$	13.9963	+	8.99485i	0.579169	+	0.372210i
$585$	0.0750447	+	0.521948i	0.00310272	+	0.0215799i
$586$	−19.4794	−	42.6539i	−0.804686	−	1.76202i
$587$	−10.2867	−	22.5248i	−0.424579	−	0.929698i	−0.994175	−	0.107774i	$-0.965628\pi$
$587$	−10.2867	−	22.5248i	−0.424579	−	0.929698i	0.569597	−	0.821924i	$-0.307099\pi$
$588$	−0.331509	−	2.30570i	−0.0136712	−	0.0950854i
$589$	−4.46041	−	2.86653i	−0.183788	−	0.118114i
$590$	−3.05655	+	0.897484i	−0.125836	+	0.0369488i
$591$	−1.95714	+	13.6122i	−0.0805058	+	0.559930i
$592$	−8.28244	+	9.55845i	−0.340406	+	0.392850i
$593$	34.5940	−	22.2322i	1.42061	−	0.912968i	0.420622	−	0.907236i	$-0.361812\pi$
$593$	34.5940	−	22.2322i	1.42061	−	0.912968i	0.999984	−	0.00573182i	$-0.00182451\pi$
$594$	−3.47972	−	4.01581i	−0.142775	−	0.164771i
$595$	10.8126	+	3.17486i	0.443273	+	0.130157i
$596$	−0.312743	+	0.684811i	−0.0128104	+	0.0280509i
$597$	−2.66387			−0.109025
$598$	−3.68961	+	3.91526i	−0.150879	+	0.160107i
$599$	37.8782			1.54766			0.773830	−	0.633393i	$-0.218338\pi$
$599$	37.8782			1.54766			0.773830	+	0.633393i	$0.218338\pi$
$600$	0.464410	−	1.01692i	0.0189595	−	0.0415154i
$601$	39.1663	+	11.5003i	1.59763	+	0.469105i	0.954885	−	0.296977i	$-0.0959786\pi$
$601$	39.1663	+	11.5003i	1.59763	+	0.469105i	0.642742	+	0.766083i	$0.277797\pi$
$602$	−42.0476	−	48.5256i	−1.71373	−	1.97775i
$603$	−7.49679	+	4.81789i	−0.305293	+	0.196200i
$604$	12.1729	−	14.0483i	0.495310	−	0.571618i
$605$	−0.677546	+	4.71244i	−0.0275462	+	0.191588i
$606$	5.46518	−	1.60472i	0.222008	−	0.0651874i
$607$	−32.1856	−	20.6845i	−1.30637	−	0.839556i	−0.312484	−	0.949923i	$-0.601161\pi$
$607$	−32.1856	−	20.6845i	−1.30637	−	0.839556i	−0.993891	+	0.110367i	$0.964797\pi$
$608$	−5.68099	−	39.5121i	−0.230394	−	1.60243i
$609$	−1.33531	−	2.92392i	−0.0541095	−	0.118483i
$610$	−5.70593	−	12.4942i	−0.231026	−	0.505877i
$611$	−0.507591	−	3.53037i	−0.0205349	−	0.142824i
$612$	9.71173	+	6.24135i	0.392574	+	0.252292i
$613$	9.37643	−	2.75317i	0.378710	−	0.111199i	−0.0868366	−	0.996223i	$-0.527676\pi$
$613$	9.37643	−	2.75317i	0.378710	−	0.111199i	0.465547	+	0.885023i	$0.345858\pi$
$614$	−4.31327	+	29.9994i	−0.174069	+	1.21068i
$615$	1.61665	−	1.86571i	0.0651896	−	0.0752328i
$616$	−5.79129	+	3.72184i	−0.233338	+	0.149957i
$617$	−15.6047	−	18.0088i	−0.628222	−	0.725007i	0.349024	−	0.937114i	$-0.386513\pi$
$617$	−15.6047	−	18.0088i	−0.628222	−	0.725007i	−0.977247	+	0.212107i	$0.931968\pi$
$618$	11.6304	+	3.41500i	0.467844	+	0.137371i
$619$	10.2883	−	22.5283i	0.413523	−	0.905488i	−0.582196	−	0.813049i	$-0.697806\pi$
$619$	10.2883	−	22.5283i	0.413523	−	0.905488i	0.995718	−	0.0924395i	$-0.0294665\pi$
$620$	2.65735			0.106722
$621$	−4.65393	+	1.15797i	−0.186756	+	0.0464677i
$622$	23.5194			0.943042
$623$	−7.27322	+	15.9261i	−0.291395	+	0.638067i
$624$	−1.35232	−	0.397076i	−0.0541360	−	0.0158958i
$625$	−0.654861	−	0.755750i	−0.0261944	−	0.0302300i
$626$	32.2481	−	20.7246i	1.28889	−	0.828321i
$627$	8.24251	−	9.51236i	0.329174	−	0.379887i
$628$	5.16149	−	35.8989i	0.205966	−	1.43252i
$629$	20.7541	−	6.09396i	0.827521	−	0.242982i
$630$	4.41193	+	2.83538i	0.175776	+	0.112964i
$631$	−4.64935	−	32.3369i	−0.185088	−	1.28731i	−0.844510	−	0.535540i	$-0.820108\pi$
$631$	−4.64935	−	32.3369i	−0.185088	−	1.28731i	0.659423	−	0.751772i	$-0.270801\pi$
$632$	7.06130	+	15.4621i	0.280883	+	0.615049i
$633$	0.706658	+	1.54736i	0.0280871	+	0.0615022i
$634$	−6.10183	−	42.4391i	−0.242334	−	1.68547i
$635$	16.7878	+	10.7889i	0.666203	+	0.428143i
$636$	−5.84218	+	1.71542i	−0.231658	+	0.0680208i
$637$	0.0692175	−	0.481418i	0.00274250	−	0.0190745i
$638$	4.53708	−	5.23607i	0.179625	−	0.207298i
$639$	2.38075	−	1.53001i	0.0941809	−	0.0605264i
$640$	5.65459	+	6.52575i	0.223517	+	0.257953i
$641$	−5.36068	−	1.57404i	−0.211734	−	0.0621708i	0.174145	−	0.984720i	$-0.444284\pi$
$641$	−5.36068	−	1.57404i	−0.211734	−	0.0621708i	−0.385879	+	0.922549i	$0.626102\pi$
$642$	−15.2355	+	33.3612i	−0.601298	+	1.31666i
$643$	22.4403			0.884959			0.442479	−	0.896779i	$-0.354099\pi$
$643$	22.4403			0.884959			0.442479	+	0.896779i	$0.354099\pi$
$644$	3.01257	+	29.7071i	0.118712	+	1.17062i
$645$	−12.2431			−0.482071
$646$	−20.3557	+	44.5727i	−0.800883	+	1.75369i
$647$	25.6724	+	7.53811i	1.00929	+	0.296354i	0.744262	−	0.667888i	$-0.232801\pi$
$647$	25.6724	+	7.53811i	1.00929	+	0.296354i	0.265026	+	0.964241i	$0.414620\pi$
$648$	0.732097	+	0.844885i	0.0287595	+	0.0331902i
$649$	3.14661	−	2.02221i	0.123515	−	0.0793785i
$650$	0.734604	−	0.847778i	0.0288135	−	0.0332526i
$651$	−0.369162	+	2.56758i	−0.0144686	+	0.100631i
$652$	−22.8123	+	6.69831i	−0.893400	+	0.262326i
$653$	−28.6015	−	18.3811i	−1.11926	−	0.719308i	−0.155972	−	0.987762i	$-0.549851\pi$
$653$	−28.6015	−	18.3811i	−1.11926	−	0.719308i	−0.963293	+	0.268454i	$0.913487\pi$
$654$	−5.13943	−	35.7455i	−0.200968	−	1.39776i
$655$	8.87425	+	19.4319i	0.346746	+	0.759267i
$656$	2.74104	+	6.00205i	0.107020	+	0.234341i
$657$	2.11795	+	14.7307i	0.0826291	+	0.574698i
$658$	−29.8416	−	19.1781i	−1.16335	−	0.747638i
$659$	11.4973	−	3.37591i	0.447871	−	0.131507i	−0.0500168	−	0.998748i	$-0.515927\pi$
$659$	11.4973	−	3.37591i	0.447871	−	0.131507i	0.497887	+	0.867242i	$0.334109\pi$
$660$	−0.897762	+	6.24407i	−0.0349453	+	0.243050i
$661$	25.9724	−	29.9738i	1.01021	−	1.16584i	0.0241073	−	0.999709i	$-0.492326\pi$
$661$	25.9724	−	29.9738i	1.01021	−	1.16584i	0.986103	−	0.166135i	$-0.0531289\pi$
$662$	2.65931	−	1.70904i	0.103357	−	0.0664236i
$663$	1.57848	+	1.82166i	0.0613031	+	0.0707475i
$664$	−0.754320	−	0.221488i	−0.0292733	−	0.00859541i
$665$	−5.16059	+	11.3001i	−0.200119	+	0.438200i
$666$	10.0665			0.390067
$667$	−2.35805	−	5.79146i	−0.0913040	−	0.224246i
$668$	50.9188			1.97011
$669$	10.5349	−	23.0681i	0.407301	−	0.891865i
$670$	18.1896	+	5.34096i	0.702727	+	0.206339i
$671$	10.5614	+	12.1885i	0.407717	+	0.470531i
$672$	−16.4293	+	10.5585i	−0.633774	+	0.407302i
$673$	20.4490	−	23.5994i	0.788252	−	0.909692i	−0.209424	−	0.977825i	$-0.567159\pi$
$673$	20.4490	−	23.5994i	0.788252	−	0.909692i	0.997676	+	0.0681334i	$0.0217043\pi$
$674$	2.94457	−	20.4800i	0.113421	−	0.788859i
$675$	0.959493	−	0.281733i	0.0369309	−	0.0108439i
$676$	−27.0290	−	17.3705i	−1.03958	−	0.668096i
$677$	−1.22047	−	8.48857i	−0.0469065	−	0.326242i	−0.999741	−	0.0227521i	$-0.992757\pi$
$677$	−1.22047	−	8.48857i	−0.0469065	−	0.326242i	0.952835	−	0.303490i	$-0.0981519\pi$
$678$	−4.75533	−	10.4127i	−0.182627	−	0.399898i
$679$	3.40693	+	7.46015i	0.130746	+	0.286294i
$680$	−0.727260	−	5.05820i	−0.0278891	−	0.193973i
$681$	4.31757	+	2.77473i	0.165449	+	0.106328i
$682$	−5.36458	+	1.57518i	−0.205421	+	0.0603169i
$683$	−4.06286	+	28.2578i	−0.155461	+	1.08126i	0.751406	+	0.659840i	$0.229376\pi$
$683$	−4.06286	+	28.2578i	−0.155461	+	1.08126i	−0.906867	+	0.421416i	$0.861533\pi$
$684$	−8.33390	+	9.61783i	−0.318655	+	0.367747i
$685$	9.85475	−	6.33326i	0.376531	−	0.241981i
$686$	−27.2085	−	31.4003i	−1.03883	−	1.19887i
$687$	8.21839	+	2.41314i	0.313551	+	0.0920669i
$688$	13.5938	−	29.7662i	0.518258	−	1.13483i
$689$	−1.27132			−0.0484333
$690$	8.34510	+	5.86908i	0.317693	+	0.223432i
$691$	13.9817			0.531891			0.265945	−	0.963988i	$-0.414316\pi$
$691$	13.9817			0.531891			0.265945	+	0.963988i	$0.414316\pi$
$692$	−12.5843	+	27.5558i	−0.478384	+	1.04752i
$693$	−5.90841	−	1.73487i	−0.224442	−	0.0659021i
$694$	47.1143	+	54.3728i	1.78843	+	2.06396i
$695$	−5.04175	+	3.24013i	−0.191244	+	0.122905i
$696$	−0.954555	+	1.10162i	−0.0361823	+	0.0417566i
$697$	1.60597	−	11.1698i	0.0608304	−	0.423085i
$698$	10.8734	−	3.19273i	0.411566	−	0.120847i
$699$	1.50717	+	0.968598i	0.0570063	+	0.0366357i
$700$	−0.886070	−	6.16275i	−0.0334903	−	0.232930i
$701$	12.7278	+	27.8700i	0.480723	+	1.05264i	0.982264	+	0.187502i	$0.0600393\pi$
$701$	12.7278	+	27.8700i	0.480723	+	1.05264i	−0.501541	+	0.865134i	$0.667233\pi$
$702$	0.466000	+	1.02040i	0.0175881	+	0.0385125i
$703$	3.39346	+	23.6020i	0.127987	+	0.890166i
$704$	−24.1789	−	15.5389i	−0.911278	−	0.585643i
$705$	−6.48986	+	1.90560i	−0.244422	+	0.0717689i
$706$	9.11752	−	63.4138i	0.343143	−	2.38661i
$707$	4.32260	−	4.98855i	0.162568	−	0.187614i
$708$	−3.18150	+	2.04463i	−0.119568	+	0.0768418i
$709$	−9.42406	−	10.8760i	−0.353928	−	0.408455i	0.550668	−	0.834724i	$-0.314373\pi$
$709$	−9.42406	−	10.8760i	−0.353928	−	0.408455i	−0.904596	+	0.426269i	$0.859828\pi$
$710$	−5.77647	−	1.69612i	−0.216787	−	0.0636544i
$711$	−6.31633	+	13.8308i	−0.236881	+	0.518697i
$712$	7.93955			0.297547
$713$	−0.925925	+	4.96051i	−0.0346762	+	0.185772i
$714$	23.9730			0.897166
$715$	−0.547159	+	1.19811i	−0.0204626	+	0.0448068i
$716$	−9.90810	−	2.90928i	−0.370283	−	0.108725i
$717$	3.02748	+	3.49389i	0.113063	+	0.130482i
$718$	21.7439	−	13.9739i	0.811474	−	0.521503i
$719$	0.301694	−	0.348173i	0.0112513	−	0.0129847i	−0.750096	−	0.661329i	$-0.769993\pi$
$719$	0.301694	−	0.348173i	0.0112513	−	0.0129847i	0.761347	+	0.648344i	$0.224538\pi$
$720$	−0.380379	+	2.64560i	−0.0141759	+	0.0985956i
$721$	13.4781	−	3.95753i	0.501951	−	0.147386i
$722$	−11.4394	−	7.35168i	−0.425732	−	0.273601i
$723$	3.00643	+	20.9102i	0.111811	+	0.777659i
$724$	16.4038	+	35.9194i	0.609644	+	1.33493i
$725$	0.541645	+	1.18604i	0.0201162	+	0.0440483i
$726$	1.44136	+	10.0249i	0.0534939	+	0.372059i
$727$	41.3244	+	26.5576i	1.53264	+	0.984966i	0.989372	+	0.145404i	$0.0464483\pi$
$727$	41.3244	+	26.5576i	1.53264	+	0.984966i	0.543265	+	0.839562i	$0.317188\pi$
$728$	1.39444	−	0.409444i	0.0516813	−	0.0151750i
$729$	−0.142315	+	0.989821i	−0.00527092	+	0.0366601i
$730$	20.7323	−	23.9264i	0.767339	−	0.885556i
$731$	−47.0801	+	30.2566i	−1.74132	+	1.11908i
$732$	−10.6785	−	12.3236i	−0.394688	−	0.455494i
$733$	−19.6996	−	5.78431i	−0.727620	−	0.213648i	−0.103115	−	0.994669i	$-0.532881\pi$
$733$	−19.6996	−	5.78431i	−0.727620	−	0.213648i	−0.624505	+	0.781021i	$0.714699\pi$
$734$	25.8363	−	56.5737i	0.953637	−	2.08817i
$735$	−0.922350			−0.0340214
$736$	−32.7898	+	19.1884i	−1.20865	+	0.707295i
$737$	−22.2592			−0.819928
$738$	2.18164	−	4.77713i	0.0803073	−	0.175848i
$739$	3.15804	+	0.927283i	0.116170	+	0.0341107i	0.339301	−	0.940678i	$-0.389809\pi$
$739$	3.15804	+	0.927283i	0.116170	+	0.0341107i	−0.223131	+	0.974789i	$0.571628\pi$
$740$	−7.82603	−	9.03172i	−0.287691	−	0.332013i
$741$	−2.23535	+	1.43657i	−0.0821178	+	0.0527739i
$742$	−8.28007	+	9.55571i	−0.303971	+	0.350801i
$743$	4.89836	−	34.0688i	0.179703	−	1.24986i	−0.677746	−	0.735296i	$-0.737043\pi$
$743$	4.89836	−	34.0688i	0.179703	−	1.24986i	0.857449	−	0.514568i	$-0.172048\pi$
$744$	1.12865	−	0.331402i	0.0413784	−	0.0121498i
$745$	0.250773	+	0.161162i	0.00918763	+	0.00590453i
$746$	2.48827	+	17.3063i	0.0911019	+	0.633628i
$747$	−0.292130	−	0.639676i	−0.0106885	−	0.0234045i
$748$	11.9788	+	26.2299i	0.437988	+	0.959060i
$749$	6.04866	+	42.0694i	0.221013	+	1.53718i
$750$	−1.78962	−	1.15012i	−0.0653477	−	0.0419964i
$751$	−19.2016	+	5.63809i	−0.700675	+	0.205737i	−0.612619	−	0.790379i	$-0.709884\pi$
$751$	−19.2016	+	5.63809i	−0.700675	+	0.205737i	−0.0880567	+	0.996115i	$0.528066\pi$
$752$	2.57283	−	17.8944i	0.0938214	−	0.652542i
$753$	20.4235	−	23.5700i	0.744275	−	0.858939i
$754$	−1.23045	+	0.790761i	−0.0448103	+	0.0287978i
$755$	−4.81998	−	5.56255i	−0.175417	−	0.202442i
$756$	5.97392	+	1.75410i	0.217270	+	0.0637961i
$757$	−19.8642	+	43.4965i	−0.721976	+	1.58091i	0.0891389	+	0.996019i	$0.471589\pi$
$757$	−19.8642	+	43.4965i	−0.721976	+	1.58091i	−0.811115	+	0.584887i	$0.801139\pi$
$758$	−3.84986			−0.139833
$759$	−11.3431	−	3.85154i	−0.411727	−	0.139802i
$760$	5.63338			0.204344
$761$	−12.4722	+	27.3102i	−0.452115	+	0.989994i	0.537099	+	0.843519i	$0.319520\pi$
$761$	−12.4722	+	27.3102i	−0.452115	+	0.989994i	−0.989214	+	0.146475i	$0.953207\pi$
$762$	40.7326	+	11.9602i	1.47559	+	0.433272i
$763$	−27.4061	−	31.6284i	−0.992169	−	1.14502i
$764$	−47.2969	+	30.3959i	−1.71114	+	1.09968i
$765$	2.99343	−	3.45460i	0.108228	−	0.124901i
$766$	8.71321	−	60.6017i	0.314821	−	2.18963i
$767$	−0.757648	+	0.222465i	−0.0273571	+	0.00803276i
$768$	−3.90702	−	2.51089i	−0.140982	−	0.0906038i
$769$	−1.42942	−	9.94186i	−0.0515463	−	0.358512i	−0.999228	−	0.0392946i	$-0.987489\pi$
$769$	−1.42942	−	9.94186i	−0.0515463	−	0.358512i	0.947681	−	0.319218i	$-0.103420\pi$
$770$	5.44183	+	11.9160i	0.196110	+	0.429421i
$771$	−9.14871	−	20.0329i	−0.329483	−	0.721466i
$772$	1.71196	+	11.9070i	0.0616149	+	0.428541i
$773$	10.5376	+	6.77209i	0.379011	+	0.243575i	0.716250	−	0.697844i	$-0.245857\pi$
$773$	10.5376	+	6.77209i	0.379011	+	0.243575i	−0.337240	+	0.941419i	$0.609493\pi$
$774$	−24.9900	+	7.33773i	−0.898248	+	0.263749i
$775$	0.149744	−	1.04149i	0.00537896	−	0.0374115i
$776$	2.43547	−	2.81068i	0.0874282	−	0.100898i
$777$	9.81380	−	6.30695i	0.352068	−	0.226261i
$778$	18.5826	+	21.4455i	0.666219	+	0.768858i
$779$	11.9360	+	3.50472i	0.427651	+	0.125570i
$780$	0.553226	−	1.21140i	0.0198087	−	0.0433749i
$781$	7.06883			0.252943
$782$	46.5950	+	1.94582i	1.66623	+	0.0695825i
$783$	−1.30386			−0.0465963
$784$	1.02411	−	2.24248i	0.0365752	−	0.0800885i
$785$	−13.7790	−	4.04587i	−0.491792	−	0.144403i
$786$	29.7600	+	34.3448i	1.06150	+	1.22504i
$787$	32.4055	−	20.8257i	1.15513	−	0.742357i	0.184476	−	0.982837i	$-0.440941\pi$
$787$	32.4055	−	20.8257i	1.15513	−	0.742357i	0.970654	+	0.240480i	$0.0773049\pi$
$788$	22.7442	−	26.2482i	0.810227	−	0.935052i
$789$	−3.33442	+	23.1914i	−0.118709	+	0.825637i
$790$	31.0355	−	9.11284i	1.10419	−	0.324220i
$791$	−11.1599	−	7.17202i	−0.396800	−	0.255008i
$792$	0.397403	+	2.76400i	0.0141211	+	0.0982144i
$793$	−1.41437	−	3.09703i	−0.0502257	−	0.109979i
$794$	22.6243	+	49.5402i	0.802905	+	1.75812i
$795$	0.343110	+	2.38638i	0.0121689	+	0.0846363i
$796$	5.65965	+	3.63723i	0.200601	+	0.128918i
$797$	28.1737	−	8.27254i	0.997964	−	0.293029i	0.258344	−	0.966053i	$-0.416823\pi$
$797$	28.1737	−	8.27254i	0.997964	−	0.293029i	0.739620	+	0.673025i	$0.235005\pi$
$798$	−3.76098	+	26.1582i	−0.133137	+	0.925991i
$799$	−20.2471	+	23.3664i	−0.716290	+	0.826643i
$800$	6.66425	−	4.28285i	0.235617	−	0.151422i
$801$	4.65078	+	5.36728i	0.164327	+	0.189644i
$802$	−59.1350	−	17.3636i	−2.08813	−	0.613130i
$803$	−15.4422	+	33.8137i	−0.544943	+	1.19326i
$804$	22.5060			0.793726
$805$	11.8128	+	0.493307i	0.416347	+	0.0173868i
$806$	1.18033			0.0415753
$807$	−5.15101	+	11.2791i	−0.181324	+	0.397045i
$808$	−2.87204	−	0.843306i	−0.101038	−	0.0296674i
$809$	18.4660	+	21.3109i	0.649229	+	0.749251i	0.980978	−	0.194117i	$-0.0621842\pi$
$809$	18.4660	+	21.3109i	0.649229	+	0.749251i	−0.331749	+	0.943368i	$0.607639\pi$
$810$	1.78962	−	1.15012i	0.0628809	−	0.0404111i
$811$	13.5896	−	15.6832i	0.477194	−	0.550712i	−0.465204	−	0.885203i	$-0.654019\pi$
$811$	13.5896	−	15.6832i	0.477194	−	0.550712i	0.942399	+	0.334492i	$0.108565\pi$
$812$	−1.15532	+	8.03539i	−0.0405436	+	0.281987i
$813$	24.3130	−	7.13893i	0.852693	−	0.250373i
$814$	21.1526	+	13.5940i	0.741400	+	0.476469i
$815$	1.33976	+	9.31826i	0.0469299	+	0.326404i
$816$	5.07538	+	11.1135i	0.177674	+	0.389052i
$817$	−25.6284	−	56.1185i	−0.896626	−	1.96334i
$818$	−4.71945	−	32.8245i	−0.165012	−	1.14768i
$819$	1.09362	+	0.702824i	0.0382140	+	0.0245587i
$820$	−5.98217	+	1.75652i	−0.208906	+	0.0613405i
$821$	−2.84960	+	19.8194i	−0.0994517	+	0.691702i	0.877708	+	0.479196i	$0.159072\pi$
$821$	−2.84960	+	19.8194i	−0.0994517	+	0.691702i	−0.977160	+	0.212506i	$0.931837\pi$
$822$	16.3193	−	18.8335i	0.569201	−	0.656893i
$823$	−35.0802	+	22.5447i	−1.22282	+	0.785858i	−0.982757	−	0.184900i	$-0.940804\pi$
$823$	−35.0802	+	22.5447i	−1.22282	+	0.785858i	−0.240062	+	0.970758i	$0.577168\pi$
$824$	−4.17146	−	4.81412i	−0.145320	−	0.167708i
$825$	2.39664	+	0.703717i	0.0834403	+	0.0245003i
$826$	−3.26242	+	7.14370i	−0.113514	+	0.248561i
$827$	−37.3800			−1.29983			−0.649914	−	0.760008i	$-0.725195\pi$
$827$	−37.3800			−1.29983			−0.649914	+	0.760008i	$0.725195\pi$
$828$	11.4688	+	3.89425i	0.398569	+	0.135334i
$829$	6.16093			0.213978			0.106989	−	0.994260i	$-0.465879\pi$
$829$	6.16093			0.213978			0.106989	+	0.994260i	$0.465879\pi$
$830$	−0.621456	+	1.36080i	−0.0215711	+	0.0472340i
$831$	−12.4677	−	3.66084i	−0.432499	−	0.126993i
$832$	3.97346	+	4.58561i	0.137755	+	0.158977i
$833$	−3.54685	+	2.27942i	−0.122891	+	0.0789772i
$834$	−8.34905	+	9.63532i	−0.289104	+	0.333644i
$835$	2.86931	−	19.9565i	0.0992967	−	0.690624i
$836$	−30.5002	+	8.95566i	−1.05487	+	0.309738i
$837$	0.885168	+	0.568863i	0.0305959	+	0.0196628i
$838$	2.63840	+	18.3505i	0.0911420	+	0.633906i
$839$	8.54438	+	18.7096i	0.294985	+	0.645927i	0.997860	−	0.0653864i	$-0.0208280\pi$
$839$	8.54438	+	18.7096i	0.294985	+	0.645927i	−0.702875	+	0.711313i	$0.748101\pi$
$840$	−1.14491	−	2.50699i	−0.0395030	−	0.0864995i
$841$	3.88519	+	27.0221i	0.133972	+	0.931795i
$842$	−47.9108	−	30.7904i	−1.65111	−	1.06111i
$843$	8.59429	−	2.52351i	0.296003	−	0.0869143i
$844$	0.611403	−	4.25240i	0.0210453	−	0.146374i
$845$	−8.33110	+	9.61460i	−0.286598	+	0.330752i
$846$	−12.1047	+	7.77923i	−0.416169	+	0.267455i
$847$	7.68609	+	8.87022i	0.264097	+	0.304784i
$848$	−6.18289	−	1.81546i	−0.212321	−	0.0623432i
$849$	−6.46406	+	14.1543i	−0.221846	+	0.485775i
$850$	−9.72420			−0.333537
$851$	19.5865	−	11.4619i	0.671417	−	0.392910i
$852$	−7.14721			−0.244859
$853$	20.8101	−	45.5678i	0.712525	−	1.56021i	−0.111567	−	0.993757i	$-0.535587\pi$
$853$	20.8101	−	45.5678i	0.712525	−	1.56021i	0.824092	−	0.566456i	$-0.191686\pi$
$854$	−32.4903	−	9.54001i	−1.11180	−	0.326453i
$855$	3.29988	+	3.80827i	0.112854	+	0.130240i
$856$	16.2139	−	10.4200i	0.554180	−	0.356150i
$857$	−10.5289	+	12.1510i	−0.359660	+	0.415069i	−0.906526	−	0.422151i	$-0.861275\pi$
$857$	−10.5289	+	12.1510i	−0.359660	+	0.415069i	0.546866	+	0.837220i	$0.315821\pi$
$858$	−0.398763	+	2.77346i	−0.0136136	+	0.0946844i
$859$	35.9411	−	10.5533i	1.22629	−	0.360072i	0.396444	−	0.918059i	$-0.370244\pi$
$859$	35.9411	−	10.5533i	1.22629	−	0.360072i	0.829850	+	0.557987i	$0.188426\pi$
$860$	26.0116	+	16.7167i	0.886990	+	0.570034i
$861$	−0.866134	−	6.02409i	−0.0295178	−	0.205300i
$862$	12.5161	+	27.4065i	0.426302	+	0.933470i
$863$	6.50452	+	14.2429i	0.221416	+	0.484834i	0.987443	−	0.157974i	$-0.0504964\pi$
$863$	6.50452	+	14.2429i	0.221416	+	0.484834i	−0.766027	+	0.642809i	$0.777769\pi$
$864$	1.12739	+	7.84117i	0.0383546	+	0.266762i
$865$	10.0908	+	6.48495i	0.343097	+	0.220495i
$866$	−26.6456	+	7.82386i	−0.905455	+	0.265865i
$867$	0.554298	−	3.85523i	0.0188250	−	0.130930i
$868$	4.29009	−	4.95102i	0.145615	−	0.168049i
$869$	−31.9500	+	20.5330i	−1.08383	+	0.696535i
$870$	1.81642	+	2.09626i	0.0615823	+	0.0710697i
$871$	4.50879	+	1.32390i	0.152775	+	0.0448587i
$872$	−7.88375	+	17.2630i	−0.266977	+	0.584599i
$873$	3.32670			0.112592
$874$	−9.43322	+	50.5371i	−0.319084	+	1.70944i
$875$	−2.46529			−0.0833420
$876$	15.6134	−	34.1886i	0.527528	−	1.15513i
$877$	8.59425	+	2.52350i	0.290207	+	0.0852125i	0.423596	−	0.905851i	$-0.360768\pi$
$877$	8.59425	+	2.52350i	0.290207	+	0.0852125i	−0.133389	+	0.991064i	$0.542586\pi$
$878$	−6.85837	−	7.91499i	−0.231459	−	0.267118i
$879$	−18.5432	+	11.9170i	−0.625448	+	0.401951i
$880$	−4.37197	+	5.04552i	−0.147379	+	0.170084i
$881$	1.15997	−	8.06779i	0.0390805	−	0.271811i	−0.960907	−	0.276872i	$-0.910702\pi$
$881$	1.15997	−	8.06779i	0.0390805	−	0.271811i	0.999987	+	0.00506158i	$0.00161116\pi$
$882$	−1.88266	+	0.552798i	−0.0633924	+	0.0186137i
$883$	−19.2114	−	12.3464i	−0.646515	−	0.415490i	0.175876	−	0.984412i	$-0.443724\pi$
$883$	−19.2114	−	12.3464i	−0.646515	−	0.415490i	−0.822391	+	0.568923i	$0.807360\pi$
$884$	−0.866344	−	6.02555i	−0.0291383	−	0.202661i
$885$	0.622068	+	1.36214i	0.0209106	+	0.0457878i
$886$	26.8198	+	58.7271i	0.901027	+	1.97297i
$887$	6.85654	+	47.6883i	0.230220	+	1.60122i	0.697153	+	0.716923i	$0.254450\pi$
$887$	6.85654	+	47.6883i	0.230220	+	1.60122i	−0.466933	+	0.884293i	$0.654641\pi$
$888$	−4.45030	−	2.86003i	−0.149342	−	0.0959764i
$889$	47.2037	−	13.8603i	1.58316	−	0.464858i
$890$	2.15011	−	14.9543i	0.0720719	−	0.501271i
$891$	−1.63572	+	1.88773i	−0.0547988	+	0.0632412i
$892$	−53.8795	+	34.6262i	−1.80402	+	1.15937i
$893$	−22.3199	−	25.7585i	−0.746907	−	0.861976i
$894$	0.608458	+	0.178659i	0.0203499	+	0.00597526i
$895$	−1.69856	+	3.71933i	−0.0567766	+	0.124323i
$896$	21.2873			0.711158
$897$	2.06856	+	1.45481i	0.0690672	+	0.0485747i
$898$	−34.1710			−1.14030
$899$	−0.569920	+	1.24795i	−0.0190079	+	0.0416215i
$900$	−2.42321	−	0.711520i	−0.0807738	−	0.0237173i
$901$	7.21692	+	8.32877i	0.240431	+	0.277472i
$902$	11.0354	−	7.09203i	0.367439	−	0.236139i
$903$	−19.7655	+	22.8106i	−0.657754	+	0.759089i
$904$	−0.856120	+	5.95444i	−0.0284741	+	0.198042i
$905$	15.0022	−	4.40504i	0.498690	−	0.146429i
$906$	−13.1722	−	8.46524i	−0.437616	−	0.281239i
$907$	1.43107	+	9.95330i	0.0475179	+	0.330494i	0.999689	+	0.0249294i	$0.00793611\pi$
$907$	1.43107	+	9.95330i	0.0475179	+	0.330494i	−0.952171	+	0.305565i	$0.901155\pi$
$908$	−5.38449	−	11.7904i	−0.178690	−	0.391278i
$909$	−1.11227	−	2.43554i	−0.0368917	−	0.0807816i
$910$	−0.393570	−	2.73734i	−0.0130467	−	0.0907419i
$911$	−40.8947	−	26.2814i	−1.35490	−	0.870742i	−0.356913	−	0.934138i	$-0.616171\pi$
$911$	−40.8947	−	26.2814i	−1.35490	−	0.870742i	−0.997988	+	0.0633955i	$0.979807\pi$
$912$	−12.9228	+	3.79449i	−0.427918	+	0.125648i
$913$	0.249980	−	1.73865i	0.00827313	−	0.0575409i
$914$	14.1501	−	16.3301i	0.468043	−	0.540151i
$915$	−5.43171	+	3.49075i	−0.179567	+	0.115401i
$916$	−14.1659	−	16.3483i	−0.468054	−	0.540164i
$917$	50.5312	+	14.8373i	1.66869	+	0.489970i
$918$	4.03958	−	8.84544i	0.133326	−	0.291943i
$919$	21.6332			0.713613			0.356806	−	0.934178i	$-0.383866\pi$
$919$	21.6332			0.713613			0.356806	+	0.934178i	$0.383866\pi$
$920$	−2.02181	−	4.96564i	−0.0666570	−	0.163712i
$921$	14.2470			0.469453
$922$	13.1704	−	28.8392i	0.433744	−	0.949767i
$923$	−1.43185	−	0.420430i	−0.0471300	−	0.0138386i
$924$	10.1842	+	11.7532i	0.335036	+	0.386653i
$925$	−3.98079	+	2.55830i	−0.130888	+	0.0841164i
$926$	−36.9091	+	42.5953i	−1.21291	+	1.39977i
$927$	0.810905	−	5.63997i	0.0266336	−	0.185241i
$928$	−9.91057	+	2.91000i	−0.325330	+	0.0955256i
$929$	−38.3397	−	24.6394i	−1.25789	−	0.808394i	−0.269892	−	0.962891i	$-0.586988\pi$
$929$	−38.3397	−	24.6394i	−1.25789	−	0.808394i	−0.987993	+	0.154497i	$0.950624\pi$
$930$	−0.318554	−	2.21559i	−0.0104458	−	0.0726521i
$931$	−1.93075	−	4.22776i	−0.0632779	−	0.138559i
$932$	−1.87961	−	4.11576i	−0.0615686	−	0.134816i
$933$	−1.57341	−	10.9433i	−0.0515112	−	0.358268i
$934$	63.1410	+	40.5783i	2.06604	+	1.32776i
$935$	10.9553	−	3.21676i	0.358275	−	0.105199i
$936$	0.0838957	−	0.583508i	0.00274222	−	0.0190725i
$937$	38.4672	−	44.3935i	1.25667	−	1.45027i	0.415414	−	0.909632i	$-0.363637\pi$
$937$	38.4672	−	44.3935i	1.25667	−	1.45027i	0.841254	−	0.540640i	$-0.181818\pi$
$938$	39.3167	−	25.2673i	1.28374	−	0.825007i
$939$	−11.8003	−	13.6182i	−0.385087	−	0.444414i
$940$	16.3903	+	4.81261i	0.534591	+	0.156970i
$941$	19.7565	−	43.2608i	0.644045	−	1.41026i	−0.252626	−	0.967564i	$-0.581294\pi$
$941$	19.7565	−	43.2608i	0.644045	−	1.41026i	0.896671	−	0.442698i	$-0.145979\pi$
$942$	−30.5498			−0.995367
$943$	−1.19450	−	11.7790i	−0.0388982	−	0.383578i
$944$	−4.00242			−0.130268
$945$	1.02412	−	2.24251i	0.0333146	−	0.0729487i
$946$	−62.4206	−	18.3283i	−2.02947	−	0.595906i
$947$	−0.672581	−	0.776200i	−0.0218559	−	0.0252231i	0.744716	−	0.667381i	$-0.232585\pi$
$947$	−0.672581	−	0.776200i	−0.0218559	−	0.0252231i	−0.766572	+	0.642158i	$0.778039\pi$
$948$	32.3043	−	20.7607i	1.04919	−	0.674276i
$949$	5.13907	−	5.93080i	0.166821	−	0.192522i
$950$	1.52557	−	10.6106i	0.0494962	−	0.344254i
$951$	−19.3383	+	5.67823i	−0.627086	+	0.184129i
$952$	−10.5983	−	6.81108i	−0.343491	−	0.220748i
$953$	−5.35926	−	37.2745i	−0.173603	−	1.20744i	−0.871193	−	0.490941i	$-0.836653\pi$
$953$	−5.35926	−	37.2745i	−0.173603	−	1.20744i	0.697589	−	0.716498i	$-0.254256\pi$
$954$	2.13059	+	4.66534i	0.0689803	+	0.151046i
$955$	9.24779	+	20.2498i	0.299251	+	0.655269i
$956$	−1.66162	−	11.5568i	−0.0537407	−	0.373775i
$957$	−2.73981	−	1.76077i	−0.0885655	−	0.0569176i
$958$	23.1953	−	6.81074i	0.749405	−	0.220045i
$959$	4.10995	−	28.5853i	0.132717	−	0.923069i
$960$	7.53526	−	8.69615i	0.243199	−	0.280667i
$961$	−25.1475	+	16.1613i	−0.811209	+	0.521332i
$962$	−3.47613	−	4.01166i	−0.112075	−	0.129341i
$963$	16.5418	+	4.85711i	0.533052	+	0.156518i
$964$	22.1633	−	48.5308i	0.713831	−	1.56307i
$965$	4.76315			0.153331
$966$	24.4074	−	6.07294i	0.785296	−	0.195394i
$967$	−54.8151			−1.76273			−0.881367	−	0.472433i	$-0.843376\pi$
$967$	−54.8151			−1.76273			−0.881367	+	0.472433i	$0.843376\pi$
$968$	2.21101	−	4.84143i	0.0710645	−	0.155610i
$969$	22.1010	+	6.48942i	0.709985	+	0.208470i
$970$	−4.63443	−	5.34842i	−0.148803	−	0.171727i
$971$	29.7976	−	19.1498i	0.956251	−	0.614545i	0.0332931	−	0.999446i	$-0.489401\pi$
$971$	29.7976	−	19.1498i	0.956251	−	0.614545i	0.922958	+	0.384900i	$0.125764\pi$
$972$	1.65386	−	1.90866i	0.0530476	−	0.0612202i
$973$	−2.10268	+	14.6244i	−0.0674087	+	0.468838i
$974$	65.5214	−	19.2388i	2.09944	−	0.616452i
$975$	−0.443606	−	0.285088i	−0.0142067	−	0.00913012i
$976$	−2.45599	−	17.0818i	−0.0786144	−	0.546775i
$977$	−1.51072	−	3.30801i	−0.0483321	−	0.105833i	0.883925	−	0.467628i	$-0.154891\pi$
$977$	−1.51072	−	3.30801i	−0.0483321	−	0.105833i	−0.932258	+	0.361795i	$0.882164\pi$
$978$	8.31944	+	18.2170i	0.266026	+	0.582517i
$979$	2.52457	+	17.5588i	0.0806857	+	0.561181i
$980$	1.95962	+	1.25937i	0.0625979	+	0.0402292i
$981$	−16.2882	+	4.78264i	−0.520042	+	0.152698i
$982$	8.86325	−	61.6453i	0.282838	−	1.96718i
$983$	−39.5157	+	45.6035i	−1.26035	+	1.45453i	−0.424639	+	0.905363i	$0.639599\pi$
$983$	−39.5157	+	45.6035i	−1.26035	+	1.45453i	−0.835715	+	0.549164i	$0.814946\pi$
$984$	−2.32174	+	1.49209i	−0.0740143	+	0.0475661i
$985$	−9.00575	−	10.3932i	−0.286947	−	0.331154i
$986$	12.1654	+	3.57210i	0.387427	+	0.113759i
$987$	−6.92698	+	15.1680i	−0.220488	+	0.482802i
$988$	6.71072			0.213497
$989$	−40.2686	+	42.7315i	−1.28047	+	1.35878i
$990$	5.31368			0.168880
$991$	−11.8443	+	25.9353i	−0.376246	+	0.823863i	0.622891	+	0.782309i	$0.285958\pi$
$991$	−11.8443	+	25.9353i	−0.376246	+	0.823863i	−0.999136	+	0.0415539i	$0.986769\pi$
$992$	7.99770	+	2.34834i	0.253927	+	0.0745598i
$993$	−0.973100	−	1.12302i	−0.0308804	−	0.0356379i
$994$	−12.4858	+	8.02412i	−0.396025	+	0.254510i
$995$	1.74446	−	2.01322i	0.0553031	−	0.0638232i
$996$	−0.252752	+	1.75793i	−0.00800875	+	0.0557021i
$997$	−4.51995	+	1.32718i	−0.143148	+	0.0420322i	−0.352522	−	0.935804i	$-0.614676\pi$
$997$	−4.51995	+	1.32718i	−0.143148	+	0.0420322i	0.209373	+	0.977836i	$0.432858\pi$
$998$	−53.1473	−	34.1557i	−1.68235	−	1.08118i
$999$	−0.673431	−	4.68381i	−0.0213064	−	0.148189i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	345.2.m.a.121.1	✓	30
23.2	even	11		7935.2.a.bp.1.3		15
23.4	even	11	inner	345.2.m.a.211.1	yes	30
23.21	odd	22		7935.2.a.bq.1.3		15

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
345.2.m.a.121.1	✓	30	1.1	even	1	trivial
345.2.m.a.211.1	yes	30	23.4	even	11	inner
7935.2.a.bp.1.3		15	23.2	even	11
7935.2.a.bq.1.3		15	23.21	odd	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 345 = 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	345.m (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.883723 + 1.93508i) q^{2} +(0.959493 + 0.281733i) q^{3} +(-1.65386 - 1.90866i) q^{4} +(-0.841254 + 0.540641i) q^{5} +(-1.39310 + 1.60773i) q^{6} +(-0.350847 + 2.44020i) q^{7} +(1.07266 - 0.314961i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})\)	\(q+(-0.883723 + 1.93508i) q^{2} +(0.959493 + 0.281733i) q^{3} +(-1.65386 - 1.90866i) q^{4} +(-0.841254 + 0.540641i) q^{5} +(-1.39310 + 1.60773i) q^{6} +(-0.350847 + 2.44020i) q^{7} +(1.07266 - 0.314961i) q^{8} +(0.841254 + 0.540641i) q^{9} +(-0.302750 - 2.10567i) q^{10} +(1.03763 + 2.27210i) q^{11} +(-1.04914 - 2.29729i) q^{12} +(-0.0750447 - 0.521948i) q^{13} +(-4.41193 - 2.83538i) q^{14} +(-0.959493 + 0.281733i) q^{15} +(0.380379 - 2.64560i) q^{16} +(-2.99343 + 3.45460i) q^{17} +(-1.78962 + 1.15012i) q^{18} +(-3.29988 - 3.80827i) q^{19} +(2.42321 + 0.711520i) q^{20} +(-1.02412 + 2.24251i) q^{21} -5.31368 q^{22} +(-2.17254 + 4.27552i) q^{23} +1.11794 q^{24} +(0.415415 - 0.909632i) q^{25} +(1.07633 + 0.316039i) q^{26} +(0.654861 + 0.755750i) q^{27} +(5.23775 - 3.36610i) q^{28} +(-0.853849 + 0.985395i) q^{29} +(0.302750 - 2.10567i) q^{30} +(1.00958 - 0.296440i) q^{31} +(6.66425 + 4.28285i) q^{32} +(0.355477 + 2.47240i) q^{33} +(-4.03958 - 8.84544i) q^{34} +(-1.02412 - 2.24251i) q^{35} +(-0.359418 - 2.49981i) q^{36} +(-3.98079 - 2.55830i) q^{37} +(10.2855 - 3.02009i) q^{38} +(0.0750447 - 0.521948i) q^{39} +(-0.732097 + 0.844885i) q^{40} +(-2.07680 + 1.33468i) q^{41} +(-3.43440 - 3.96351i) q^{42} +(11.7472 + 3.44928i) q^{43} +(2.62056 - 5.73822i) q^{44} -1.00000 q^{45} +(-6.35356 - 7.98243i) q^{46} +6.76385 q^{47} +(1.11032 - 2.43127i) q^{48} +(0.884988 + 0.259856i) q^{49} +(1.39310 + 1.60773i) q^{50} +(-3.84545 + 2.47132i) q^{51} +(-0.872106 + 1.00646i) q^{52} +(0.343110 - 2.38638i) q^{53} +(-2.04115 + 0.599337i) q^{54} +(-2.10130 - 1.35042i) q^{55} +(0.392227 + 2.72800i) q^{56} +(-2.09330 - 4.58369i) q^{57} +(-1.15225 - 2.52309i) q^{58} +(-0.213111 - 1.48222i) q^{59} +(2.12460 + 1.36540i) q^{60} +(6.19515 - 1.81906i) q^{61} +(-0.318554 + 2.21559i) q^{62} +(-1.61442 + 1.86314i) q^{63} +(-9.68002 + 6.22097i) q^{64} +(0.345318 + 0.398518i) q^{65} +(-5.09844 - 1.49704i) q^{66} +(-3.70195 + 8.10614i) q^{67} +11.5444 q^{68} +(-3.28909 + 3.49025i) q^{69} +5.24447 q^{70} +(1.17562 - 2.57426i) q^{71} +(1.07266 + 0.314961i) q^{72} +(9.74573 + 11.2472i) q^{73} +(8.46844 - 5.44234i) q^{74} +(0.654861 - 0.755750i) q^{75} +(-1.81113 + 12.5967i) q^{76} +(-5.90841 + 1.73487i) q^{77} +(0.943694 + 0.606475i) q^{78} +(2.16388 + 15.0501i) q^{79} +(1.11032 + 2.43127i) q^{80} +(0.415415 + 0.909632i) q^{81} +(-0.747397 - 5.19826i) q^{82} +(-0.591590 - 0.380192i) q^{83} +(5.97392 - 1.75410i) q^{84} +(0.650534 - 4.52456i) q^{85} +(-17.0559 + 19.6835i) q^{86} +(-1.09688 + 0.704922i) q^{87} +(1.82865 + 2.11037i) q^{88} +(6.81425 + 2.00085i) q^{89} +(0.883723 - 1.93508i) q^{90} +1.29998 q^{91} +(11.7536 - 2.92447i) q^{92} +1.05220 q^{93} +(-5.97737 + 13.0886i) q^{94} +(4.83494 + 1.41967i) q^{95} +(5.18768 + 5.98690i) q^{96} +(2.79860 - 1.79855i) q^{97} +(-1.28493 + 1.48288i) q^{98} +(-0.355477 + 2.47240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9	\( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9} - 7 q^{11} - 2 q^{12} + 7 q^{13} - 47 q^{14} - 3 q^{15} + 26 q^{16} + 15 q^{17} - 7 q^{19} - 2 q^{20} - 12 q^{21} - 18 q^{22} + 12 q^{23} - 3 q^{25} - 18 q^{26} + 3 q^{27} + 2 q^{28} - 6 q^{29} + 22 q^{31} + 33 q^{32} - 4 q^{33} - 53 q^{34} - 12 q^{35} - 9 q^{36} - 23 q^{37} + 21 q^{38} - 7 q^{39} + 11 q^{40} + 26 q^{41} + 3 q^{42} - 19 q^{43} - 47 q^{44} - 30 q^{45} - 44 q^{46} + 14 q^{47} + 7 q^{48} + 2 q^{49} - 11 q^{50} - 15 q^{51} + 55 q^{52} - 14 q^{53} - 11 q^{54} - 4 q^{55} + 6 q^{56} - 26 q^{57} - 18 q^{58} + 40 q^{59} - 9 q^{60} + 37 q^{61} + 19 q^{62} - 10 q^{63} + 14 q^{64} + 4 q^{65} - 4 q^{66} - 108 q^{67} + 54 q^{68} + 21 q^{69} - 30 q^{70} + 39 q^{71} + 22 q^{72} + 57 q^{73} - 11 q^{74} + 3 q^{75} + 22 q^{76} + 2 q^{77} + 7 q^{78} + 55 q^{79} + 7 q^{80} - 3 q^{81} - 26 q^{82} - 79 q^{83} - 2 q^{84} + 18 q^{85} - 44 q^{86} - 5 q^{87} - 8 q^{88} - 30 q^{89} + 40 q^{91} + 35 q^{92} + 44 q^{93} - 29 q^{94} + 7 q^{95} + 22 q^{96} - 52 q^{97} + 28 q^{98} + 4 q^{99}+O(q^{100}) \) 30 * q + 3 * q^3 + 2 * q^4 + 3 * q^5 + 11 * q^6 + q^7 + 22 * q^8 - 3 * q^9 - 7 * q^11 - 2 * q^12 + 7 * q^13 - 47 * q^14 - 3 * q^15 + 26 * q^16 + 15 * q^17 - 7 * q^19 - 2 * q^20 - 12 * q^21 - 18 * q^22 + 12 * q^23 - 3 * q^25 - 18 * q^26 + 3 * q^27 + 2 * q^28 - 6 * q^29 + 22 * q^31 + 33 * q^32 - 4 * q^33 - 53 * q^34 - 12 * q^35 - 9 * q^36 - 23 * q^37 + 21 * q^38 - 7 * q^39 + 11 * q^40 + 26 * q^41 + 3 * q^42 - 19 * q^43 - 47 * q^44 - 30 * q^45 - 44 * q^46 + 14 * q^47 + 7 * q^48 + 2 * q^49 - 11 * q^50 - 15 * q^51 + 55 * q^52 - 14 * q^53 - 11 * q^54 - 4 * q^55 + 6 * q^56 - 26 * q^57 - 18 * q^58 + 40 * q^59 - 9 * q^60 + 37 * q^61 + 19 * q^62 - 10 * q^63 + 14 * q^64 + 4 * q^65 - 4 * q^66 - 108 * q^67 + 54 * q^68 + 21 * q^69 - 30 * q^70 + 39 * q^71 + 22 * q^72 + 57 * q^73 - 11 * q^74 + 3 * q^75 + 22 * q^76 + 2 * q^77 + 7 * q^78 + 55 * q^79 + 7 * q^80 - 3 * q^81 - 26 * q^82 - 79 * q^83 - 2 * q^84 + 18 * q^85 - 44 * q^86 - 5 * q^87 - 8 * q^88 - 30 * q^89 + 40 * q^91 + 35 * q^92 + 44 * q^93 - 29 * q^94 + 7 * q^95 + 22 * q^96 - 52 * q^97 + 28 * q^98 + 4 * q^99

Introduction

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