LMFDB - Embedded newform 155.2.r.a.23.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [155,2,Mod(23,155)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(155, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([15, 18]))

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

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

chi := DirichletCharacter("155.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 155 = 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	155.r (of order $20$, 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 $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			23.11
Character	$\chi$	$=$	155.23
Dual form			155.2.r.a.27.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.679080 + 1.33277i) q^{2} +(-2.32857 - 1.18647i) q^{3} +(-0.139553 + 0.192078i) q^{4} +(-0.203645 - 2.22678i) q^{5} -3.90916i q^{6} +(1.63626 - 0.259158i) q^{7} +(2.60401 + 0.412434i) q^{8} +(2.25119 + 3.09850i) q^{9} +O(q^{10})$	\(q+(0.679080 + 1.33277i) q^{2} +(-2.32857 - 1.18647i) q^{3} +(-0.139553 + 0.192078i) q^{4} +(-0.203645 - 2.22678i) q^{5} -3.90916i q^{6} +(1.63626 - 0.259158i) q^{7} +(2.60401 + 0.412434i) q^{8} +(2.25119 + 3.09850i) q^{9} +(2.82949 - 1.78357i) q^{10} +(2.32887 - 3.20541i) q^{11} +(0.552853 - 0.281693i) q^{12} +(-4.20457 - 2.14234i) q^{13} +(1.45655 + 2.00476i) q^{14} +(-2.16779 + 5.42683i) q^{15} +(1.36538 + 4.20222i) q^{16} +(-2.82278 - 0.447085i) q^{17} +(-2.60085 + 5.10445i) q^{18} +(2.89741 + 0.941427i) q^{19} +(0.456134 + 0.271637i) q^{20} +(-4.11763 - 1.33790i) q^{21} +(5.85355 + 0.927112i) q^{22} +(-0.889461 + 5.61584i) q^{23} +(-5.57428 - 4.04995i) q^{24} +(-4.91706 + 0.906942i) q^{25} -7.05854i q^{26} +(-0.339311 - 2.14233i) q^{27} +(-0.178566 + 0.350455i) q^{28} +(1.33825 - 4.11870i) q^{29} +(-8.70481 + 0.796079i) q^{30} +(4.64992 + 3.06238i) q^{31} +(-0.944854 + 0.944854i) q^{32} +(-9.22605 + 4.70091i) q^{33} +(-1.32103 - 4.06572i) q^{34} +(-0.910302 - 3.59080i) q^{35} -0.909315 q^{36} +(5.18963 + 5.18963i) q^{37} +(0.712870 + 4.50088i) q^{38} +(7.24884 + 9.97718i) q^{39} +(0.388106 - 5.88253i) q^{40} +(-0.463346 + 1.42603i) q^{41} +(-1.01309 - 6.39639i) q^{42} +(2.95868 + 5.80674i) q^{43} +(0.290689 + 0.894648i) q^{44} +(6.44122 - 5.64390i) q^{45} +(-8.08862 + 2.62815i) q^{46} +(-0.940673 - 0.479297i) q^{47} +(1.80640 - 11.4052i) q^{48} +(-4.04722 + 1.31502i) q^{49} +(-4.54782 - 5.93741i) q^{50} +(6.04261 + 4.39021i) q^{51} +(0.998256 - 0.508637i) q^{52} +(2.20990 - 13.9527i) q^{53} +(2.62481 - 1.90703i) q^{54} +(-7.61199 - 4.53310i) q^{55} +4.36771 q^{56} +(-5.62987 - 5.62987i) q^{57} +(6.39805 - 1.01335i) q^{58} +(2.67774 - 0.870050i) q^{59} +(-0.739852 - 1.17372i) q^{60} +14.4888i q^{61} +(-0.923781 + 8.27688i) q^{62} +(4.48653 + 4.48653i) q^{63} +(6.50354 + 2.11313i) q^{64} +(-3.91426 + 9.79892i) q^{65} +(-12.5304 - 9.10390i) q^{66} +(-5.73487 + 5.73487i) q^{67} +(0.479803 - 0.479803i) q^{68} +(8.73418 - 12.0216i) q^{69} +(4.16754 - 3.65166i) q^{70} +(0.337098 - 0.244916i) q^{71} +(4.58420 + 8.99699i) q^{72} +(1.33447 - 0.211359i) q^{73} +(-3.39241 + 10.4407i) q^{74} +(12.5258 + 3.72205i) q^{75} +(-0.585170 + 0.425151i) q^{76} +(2.97992 - 5.84842i) q^{77} +(-8.37473 + 16.4363i) q^{78} +(-1.58437 + 1.15111i) q^{79} +(9.07934 - 3.89616i) q^{80} +(1.79888 - 5.53638i) q^{81} +(-2.21522 + 0.350856i) q^{82} +(0.865930 + 1.69948i) q^{83} +(0.831608 - 0.604198i) q^{84} +(-0.420713 + 6.37675i) q^{85} +(-5.72987 + 7.88648i) q^{86} +(-8.00291 + 8.00291i) q^{87} +(7.38641 - 7.38641i) q^{88} +(-8.53401 - 6.20032i) q^{89} +(11.8961 + 4.75201i) q^{90} +(-7.43497 - 2.41577i) q^{91} +(-0.954552 - 0.954552i) q^{92} +(-7.19427 - 12.6480i) q^{93} -1.57918i q^{94} +(1.50630 - 6.64360i) q^{95} +(3.32120 - 1.07912i) q^{96} +(13.2397 - 2.09696i) q^{97} +(-4.50100 - 4.50100i) q^{98} +15.1747 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 6 q^{2} - 10 q^{3} - 16 q^{5} - 18 q^{7} - 20 q^{8}+O(q^{10}) $ 112 * q - 6 * q^2 - 10 * q^3 - 16 * q^5 - 18 * q^7 - 20 * q^8	$ 112 q - 6 q^{2} - 10 q^{3} - 16 q^{5} - 18 q^{7} - 20 q^{8} - 14 q^{10} - 20 q^{11} + 10 q^{12} - 10 q^{13} - 10 q^{15} - 12 q^{16} - 10 q^{17} + 4 q^{18} - 28 q^{20} + 20 q^{21} + 60 q^{22} - 44 q^{25} - 40 q^{27} - 48 q^{28} - 4 q^{31} + 44 q^{32} - 26 q^{33} + 18 q^{35} - 64 q^{36} - 32 q^{38} - 14 q^{40} - 16 q^{41} + 70 q^{42} - 10 q^{43} - 8 q^{45} - 60 q^{46} + 46 q^{47} + 150 q^{48} + 76 q^{50} + 12 q^{51} - 80 q^{52} + 10 q^{53} - 20 q^{55} - 24 q^{56} - 10 q^{58} + 160 q^{60} - 54 q^{62} - 200 q^{63} + 100 q^{65} - 52 q^{66} - 68 q^{67} + 140 q^{70} + 8 q^{71} - 18 q^{72} + 30 q^{73} + 100 q^{75} - 128 q^{76} - 30 q^{77} + 36 q^{78} - 118 q^{80} + 64 q^{81} - 44 q^{82} + 160 q^{83} - 90 q^{85} - 20 q^{86} + 88 q^{90} - 60 q^{91} + 10 q^{93} + 44 q^{95} + 92 q^{97} + 144 q^{98}+O(q^{100}) $ 112 * q - 6 * q^2 - 10 * q^3 - 16 * q^5 - 18 * q^7 - 20 * q^8 - 14 * q^10 - 20 * q^11 + 10 * q^12 - 10 * q^13 - 10 * q^15 - 12 * q^16 - 10 * q^17 + 4 * q^18 - 28 * q^20 + 20 * q^21 + 60 * q^22 - 44 * q^25 - 40 * q^27 - 48 * q^28 - 4 * q^31 + 44 * q^32 - 26 * q^33 + 18 * q^35 - 64 * q^36 - 32 * q^38 - 14 * q^40 - 16 * q^41 + 70 * q^42 - 10 * q^43 - 8 * q^45 - 60 * q^46 + 46 * q^47 + 150 * q^48 + 76 * q^50 + 12 * q^51 - 80 * q^52 + 10 * q^53 - 20 * q^55 - 24 * q^56 - 10 * q^58 + 160 * q^60 - 54 * q^62 - 200 * q^63 + 100 * q^65 - 52 * q^66 - 68 * q^67 + 140 * q^70 + 8 * q^71 - 18 * q^72 + 30 * q^73 + 100 * q^75 - 128 * q^76 - 30 * q^77 + 36 * q^78 - 118 * q^80 + 64 * q^81 - 44 * q^82 + 160 * q^83 - 90 * q^85 - 20 * q^86 + 88 * q^90 - 60 * q^91 + 10 * q^93 + 44 * q^95 + 92 * q^97 + 144 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$32$	$96$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{9}{10}\right)$

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 $

$2$	0.679080	+	1.33277i	0.480182	+	0.942410i	0.996304	+	0.0858950i	$0.0273749\pi$
$2$	0.679080	+	1.33277i	0.480182	+	0.942410i	−0.516122	+	0.856515i	$0.672625\pi$
$3$	−2.32857	−	1.18647i	−1.34440	−	0.685007i	−0.374210	−	0.927344i	$-0.622086\pi$
$3$	−2.32857	−	1.18647i	−1.34440	−	0.685007i	−0.970192	+	0.242337i	$0.922086\pi$
$4$	−0.139553	+	0.192078i	−0.0697764	+	0.0960390i
$5$	−0.203645	−	2.22678i	−0.0910727	−	0.995844i
$5$	−0.203645	−	2.22678i	−0.0910727	−	0.995844i
$6$		−	3.90916i		−	1.59591i
$7$	1.63626	−	0.259158i	0.618447	−	0.0979525i	0.160654	−	0.987011i	$-0.448640\pi$
$7$	1.63626	−	0.259158i	0.618447	−	0.0979525i	0.457794	+	0.889058i	$0.348640\pi$
$8$	2.60401	+	0.412434i	0.920656	+	0.145818i
$9$	2.25119	+	3.09850i	0.750398	+	1.03283i
$10$	2.82949	−	1.78357i	0.894762	−	0.564014i
$11$	2.32887	−	3.20541i	0.702179	−	0.966467i	−0.297751	−	0.954644i	$-0.596236\pi$
$11$	2.32887	−	3.20541i	0.702179	−	0.966467i	0.999930	−	0.0118234i	$-0.00376360\pi$
$12$	0.552853	−	0.281693i	0.159595	−	0.0813177i
$13$	−4.20457	−	2.14234i	−1.16614	−	0.594177i	−0.239783	−	0.970827i	$-0.577076\pi$
$13$	−4.20457	−	2.14234i	−1.16614	−	0.594177i	−0.926356	+	0.376649i	$0.877076\pi$
$14$	1.45655	+	2.00476i	0.389279	+	0.535796i
$15$	−2.16779	+	5.42683i	−0.559722	+	1.40120i
$16$	1.36538	+	4.20222i	0.341346	+	1.05055i
$17$	−2.82278	−	0.447085i	−0.684625	−	0.108434i	−0.195574	−	0.980689i	$-0.562657\pi$
$17$	−2.82278	−	0.447085i	−0.684625	−	0.108434i	−0.489051	+	0.872255i	$0.662657\pi$
$18$	−2.60085	+	5.10445i	−0.613026	+	1.20313i
$19$	2.89741	+	0.941427i	0.664712	+	0.215978i	0.621890	−	0.783105i	$-0.286365\pi$
$19$	2.89741	+	0.941427i	0.664712	+	0.215978i	0.0428222	+	0.999083i	$0.486365\pi$
$20$	0.456134	+	0.271637i	0.101995	+	0.0607399i
$21$	−4.11763	−	1.33790i	−0.898540	−	0.291953i
$22$	5.85355	+	0.927112i	1.24798	+	0.197661i
$23$	−0.889461	+	5.61584i	−0.185465	+	1.17098i	0.702709	+	0.711477i	$0.251973\pi$
$23$	−0.889461	+	5.61584i	−0.185465	+	1.17098i	−0.888175	+	0.459506i	$0.848027\pi$
$24$	−5.57428	−	4.04995i	−1.13785	−	0.826693i
$25$	−4.91706	+	0.906942i	−0.983412	+	0.181388i
$26$		−	7.05854i		−	1.38429i
$27$	−0.339311	−	2.14233i	−0.0653005	−	0.412291i
$28$	−0.178566	+	0.350455i	−0.0337458	+	0.0662298i
$29$	1.33825	−	4.11870i	0.248506	−	0.764823i	−0.746534	−	0.665348i	$-0.768283\pi$
$29$	1.33825	−	4.11870i	0.248506	−	0.764823i	0.995040	−	0.0994759i	$-0.0317166\pi$
$30$	−8.70481	+	0.796079i	−1.58927	+	0.145343i
$31$	4.64992	+	3.06238i	0.835151	+	0.550020i
$31$	4.64992	+	3.06238i	0.835151	+	0.550020i
$32$	−0.944854	+	0.944854i	−0.167028	+	0.167028i
$33$	−9.22605	+	4.70091i	−1.60605	+	0.818323i
$34$	−1.32103	−	4.06572i	−0.226555	−	0.697266i
$35$	−0.910302	−	3.59080i	−0.153869	−	0.606957i
$36$	−0.909315			−0.151552
$37$	5.18963	+	5.18963i	0.853170	+	0.853170i	0.990522	−	0.137352i	$-0.0438592\pi$
$37$	5.18963	+	5.18963i	0.853170	+	0.853170i	−0.137352	+	0.990522i	$0.543859\pi$
$38$	0.712870	+	4.50088i	0.115643	+	0.730140i
$39$	7.24884	+	9.97718i	1.16074	+	1.59763i
$40$	0.388106	−	5.88253i	0.0613650	−	0.930110i
$41$	−0.463346	+	1.42603i	−0.0723624	+	0.222709i	−0.980696	−	0.195537i	$-0.937355\pi$
$41$	−0.463346	+	1.42603i	−0.0723624	+	0.222709i	0.908334	+	0.418246i	$0.137355\pi$
$42$	−1.01309	−	6.39639i	−0.156323	−	0.986984i
$43$	2.95868	+	5.80674i	0.451195	+	0.885520i	0.998809	+	0.0487891i	$0.0155362\pi$
$43$	2.95868	+	5.80674i	0.451195	+	0.885520i	−0.547614	+	0.836731i	$0.684464\pi$
$44$	0.290689	+	0.894648i	0.0438230	+	0.134873i
$45$	6.44122	−	5.64390i	0.960201	−	0.841342i
$46$	−8.08862	+	2.62815i	−1.19260	+	0.387500i
$47$	−0.940673	−	0.479297i	−0.137211	−	0.0699126i	0.384037	−	0.923318i	$-0.374533\pi$
$47$	−0.940673	−	0.479297i	−0.137211	−	0.0699126i	−0.521248	+	0.853405i	$0.674533\pi$
$48$	1.80640	−	11.4052i	0.260731	−	1.64619i
$49$	−4.04722	+	1.31502i	−0.578174	+	0.187860i
$50$	−4.54782	−	5.93741i	−0.643158	−	0.839677i
$51$	6.04261	+	4.39021i	0.846134	+	0.614752i
$52$	0.998256	−	0.508637i	0.138433	−	0.0705352i
$53$	2.20990	−	13.9527i	0.303552	−	1.91655i	−0.0874571	−	0.996168i	$-0.527874\pi$
$53$	2.20990	−	13.9527i	0.303552	−	1.91655i	0.391010	−	0.920387i	$-0.372126\pi$
$54$	2.62481	−	1.90703i	0.357191	−	0.259514i
$55$	−7.61199	−	4.53310i	−1.02640	−	0.611243i
$56$	4.36771			0.583660
$57$	−5.62987	−	5.62987i	−0.745694	−	0.745694i
$58$	6.39805	−	1.01335i	0.840105	−	0.133060i
$59$	2.67774	−	0.870050i	0.348612	−	0.113271i	−0.129477	−	0.991582i	$-0.541330\pi$
$59$	2.67774	−	0.870050i	0.348612	−	0.113271i	0.478089	+	0.878312i	$0.341330\pi$
$60$	−0.739852	−	1.17372i	−0.0955145	−	0.151526i
$61$			14.4888i			1.85510i	0.373694	+	0.927552i	$0.378091\pi$
$61$			14.4888i			1.85510i	−0.373694	+	0.927552i	$0.621909\pi$
$62$	−0.923781	+	8.27688i	−0.117320	+	1.05116i
$63$	4.48653	+	4.48653i	0.565250	+	0.565250i
$64$	6.50354	+	2.11313i	0.812942	+	0.264141i
$65$	−3.91426	+	9.79892i	−0.485505	+	1.21541i
$66$	−12.5304	−	9.10390i	−1.54239	−	1.12061i
$67$	−5.73487	+	5.73487i	−0.700625	+	0.700625i	−0.964545	−	0.263919i	$-0.914985\pi$
$67$	−5.73487	+	5.73487i	−0.700625	+	0.700625i	0.263919	+	0.964545i	$0.414985\pi$
$68$	0.479803	−	0.479803i	0.0581846	−	0.0581846i
$69$	8.73418	−	12.0216i	1.05147	−	1.44723i
$70$	4.16754	−	3.65166i	0.498117	−	0.436457i
$71$	0.337098	−	0.244916i	0.0400062	−	0.0290662i	−0.567602	−	0.823303i	$-0.692129\pi$
$71$	0.337098	−	0.244916i	0.0400062	−	0.0290662i	0.607609	+	0.794237i	$0.292129\pi$
$72$	4.58420	+	8.99699i	0.540253	+	1.06031i
$73$	1.33447	−	0.211359i	0.156188	−	0.0247377i	−0.0778509	−	0.996965i	$-0.524806\pi$
$73$	1.33447	−	0.211359i	0.156188	−	0.0247377i	0.234039	+	0.972227i	$0.424806\pi$
$74$	−3.39241	+	10.4407i	−0.394359	+	1.21371i
$75$	12.5258	+	3.72205i	1.44635	+	0.429785i
$76$	−0.585170	+	0.425151i	−0.0671236	+	0.0487681i
$77$	2.97992	−	5.84842i	0.339593	−	0.666489i
$78$	−8.37473	+	16.4363i	−0.948251	+	1.86105i
$79$	−1.58437	+	1.15111i	−0.178255	+	0.129510i	−0.673335	−	0.739337i	$-0.735139\pi$
$79$	−1.58437	+	1.15111i	−0.178255	+	0.129510i	0.495080	+	0.868848i	$0.335139\pi$
$80$	9.07934	−	3.89616i	1.01510	−	0.435604i
$81$	1.79888	−	5.53638i	0.199875	−	0.615153i
$82$	−2.21522	+	0.350856i	−0.244630	+	0.0387456i
$83$	0.865930	+	1.69948i	0.0950481	+	0.186542i	0.933635	−	0.358225i	$-0.116618\pi$
$83$	0.865930	+	1.69948i	0.0950481	+	0.186542i	−0.838587	+	0.544767i	$0.816618\pi$
$84$	0.831608	−	0.604198i	0.0907359	−	0.0659235i
$85$	−0.420713	+	6.37675i	−0.0456327	+	0.691656i
$86$	−5.72987	+	7.88648i	−0.617867	+	0.850421i
$87$	−8.00291	+	8.00291i	−0.858002	+	0.858002i
$88$	7.38641	−	7.38641i	0.787393	−	0.787393i
$89$	−8.53401	−	6.20032i	−0.904603	−	0.657233i	0.0350410	−	0.999386i	$-0.488844\pi$
$89$	−8.53401	−	6.20032i	−0.904603	−	0.657233i	−0.939644	+	0.342153i	$0.888844\pi$
$90$	11.8961	+	4.75201i	1.25396	+	0.500906i
$91$	−7.43497	−	2.41577i	−0.779397	−	0.253241i
$92$	−0.954552	−	0.954552i	−0.0995189	−	0.0995189i
$93$	−7.19427	−	12.6480i	−0.746011	−	1.31153i
$94$		−	1.57918i		−	0.162880i
$95$	1.50630	−	6.64360i	0.154543	−	0.681619i
$96$	3.32120	−	1.07912i	0.338968	−	0.110138i
$97$	13.2397	−	2.09696i	1.34429	−	0.212914i	0.557521	−	0.830163i	$-0.311753\pi$
$97$	13.2397	−	2.09696i	1.34429	−	0.212914i	0.786768	+	0.617249i	$0.211753\pi$
$98$	−4.50100	−	4.50100i	−0.454670	−	0.454670i
$99$	15.1747			1.52511
$100$	0.511986	−	1.07102i	0.0511986	−	0.107102i
$101$	−0.647860	+	0.470698i	−0.0644645	+	0.0468362i	−0.619551	−	0.784957i	$-0.712685\pi$
$101$	−0.647860	+	0.470698i	−0.0644645	+	0.0468362i	0.555086	+	0.831793i	$0.312685\pi$
$102$	−1.74772	+	11.0347i	−0.173051	+	1.09260i
$103$	5.07287	−	2.58475i	0.499844	−	0.254683i	−0.185843	−	0.982579i	$-0.559502\pi$
$103$	5.07287	−	2.58475i	0.499844	−	0.254683i	0.685688	+	0.727896i	$0.259502\pi$
$104$	−10.0652	−	7.31277i	−0.986971	−	0.717076i
$105$	−2.14067	+	9.44149i	−0.208908	+	0.921395i
$106$	20.0965	−	6.52973i	1.95194	−	0.634224i
$107$	2.47815	−	15.6464i	0.239572	−	1.51260i	−0.515461	−	0.856913i	$-0.672379\pi$
$107$	2.47815	−	15.6464i	0.239572	−	1.51260i	0.755033	−	0.655686i	$-0.227621\pi$
$108$	0.458846	+	0.233794i	0.0441525	+	0.0224968i
$109$	−17.4878	+	5.68213i	−1.67503	+	0.544249i	−0.983937	−	0.178519i	$-0.942869\pi$
$109$	−17.4878	+	5.68213i	−1.67503	+	0.544249i	−0.691091	+	0.722768i	$0.742869\pi$
$110$	0.872425	−	13.2234i	0.0831824	−	1.26080i
$111$	−5.92711	−	18.2418i	−0.562576	−	1.73143i
$112$	3.32316	+	6.52206i	0.314009	+	0.616277i
$113$	0.773270	+	4.88223i	0.0727431	+	0.459282i	0.996993	+	0.0774935i	$0.0246917\pi$
$113$	0.773270	+	4.88223i	0.0727431	+	0.459282i	−0.924250	+	0.381788i	$0.875308\pi$
$114$	3.68018	−	11.3264i	0.344681	−	1.06082i
$115$	12.6863	+	0.836995i	1.18301	+	0.0780502i
$116$	0.604356	+	0.831824i	0.0561130	+	0.0772329i
$117$	−2.82727	−	17.8507i	−0.261381	−	1.65030i
$118$	2.97797	+	2.97797i	0.274145	+	0.274145i
$119$	−4.73467			−0.434026
$120$	−7.88317	+	13.2374i	−0.719631	+	1.20841i
$121$	−1.45184	−	4.46831i	−0.131986	−	0.406210i
$122$	−19.3103	+	9.83907i	−1.74827	+	0.890787i
$123$	2.77087	−	2.77087i	0.249841	−	0.249841i
$124$	−1.23713	+	0.465784i	−0.111097	+	0.0418286i
$125$	3.02089	+	10.7645i	0.270196	+	0.962805i
$126$	−2.93280	+	9.02623i	−0.261275	+	0.804120i
$127$	7.79530	−	15.2991i	0.691721	−	1.35758i	−0.231320	−	0.972878i	$-0.574305\pi$
$127$	7.79530	−	15.2991i	0.691721	−	1.35758i	0.923041	−	0.384701i	$-0.125695\pi$
$128$	2.01817	+	12.7422i	0.178383	+	1.12627i
$129$		−	17.0318i		−	1.49957i
$130$	−15.7178	+	1.43743i	−1.37854	+	0.126071i
$131$	5.93419	+	4.31144i	0.518473	+	0.376692i	0.816028	−	0.578012i	$-0.196171\pi$
$131$	5.93419	+	4.31144i	0.518473	+	0.376692i	−0.297556	+	0.954705i	$0.596171\pi$
$132$	0.384581	−	2.42815i	0.0334734	−	0.211343i
$133$	4.98489	+	0.789530i	0.432245	+	0.0684609i
$134$	−11.5377	−	3.74882i	−0.996704	−	0.323849i
$135$	−4.70138	+	1.19184i	−0.404631	+	0.102578i
$136$	−7.16616	−	2.32843i	−0.614493	−	0.199661i
$137$	−9.05341	+	17.7683i	−0.773485	+	1.51805i	0.0799194	+	0.996801i	$0.474534\pi$
$137$	−9.05341	+	17.7683i	−0.773485	+	1.51805i	−0.853405	+	0.521249i	$0.825466\pi$
$138$	21.9532	+	3.47704i	1.86878	+	0.295985i
$139$	−2.38041	−	7.32614i	−0.201903	−	0.621395i	−0.999826	−	0.0186354i	$-0.994068\pi$
$139$	−2.38041	−	7.32614i	−0.201903	−	0.621395i	0.797923	−	0.602760i	$-0.205932\pi$
$140$	0.816750	+	0.326258i	0.0690279	+	0.0275738i
$141$	1.62176	+	2.23216i	0.136576	+	0.187981i
$142$	0.555333	+	0.282956i	0.0466025	+	0.0237452i
$143$	−16.6590	+	8.48816i	−1.39309	+	0.709816i
$144$	−9.94684	+	13.6907i	−0.828903	+	1.14089i
$145$	−9.44395	−	2.14122i	−0.784277	−	0.177819i
$146$	1.18790	+	1.63501i	0.0983115	+	0.135314i
$147$	10.9845	+	1.73977i	0.905984	+	0.143494i
$148$	−1.72104	+	0.272586i	−0.141469	+	0.0224064i
$149$		−	0.887414i		−	0.0726998i	−0.999339	−	0.0363499i	$-0.988427\pi$
$149$		−	0.887414i		−	0.0726998i	0.999339	−	0.0363499i	$-0.0115731\pi$
$150$	3.54538	+	19.2215i	0.289479	+	1.56943i
$151$	−7.27585	+	10.0143i	−0.592100	+	0.814956i	−0.994957	−	0.100307i	$-0.968017\pi$
$151$	−7.27585	+	10.0143i	−0.592100	+	0.814956i	0.402856	+	0.915263i	$0.368017\pi$
$152$	7.15661	+	3.64647i	0.580478	+	0.295768i
$153$	−4.96934	−	9.75287i	−0.401747	−	0.788473i
$154$	9.81819			0.791173
$155$	5.87231	−	10.9780i	0.471675	−	0.881772i
$156$	−2.92799			−0.234427
$157$	−8.06448	−	15.8274i	−0.643616	−	1.26317i	−0.950294	−	0.311354i	$-0.899218\pi$
$157$	−8.06448	−	15.8274i	−0.643616	−	1.26317i	0.306678	−	0.951813i	$-0.400782\pi$
$158$	−2.61008	−	1.32990i	−0.207647	−	0.105801i
$159$	−21.7004	+	29.8680i	−1.72095	+	2.36869i
$160$	2.29639	+	1.91156i	0.181546	+	0.151122i
$161$			9.41947i			0.742358i
$162$	8.60029	−	1.36215i	0.675703	−	0.107021i
$163$	−8.50592	−	1.34721i	−0.666235	−	0.105521i	−0.185849	−	0.982578i	$-0.559503\pi$
$163$	−8.50592	−	1.34721i	−0.666235	−	0.105521i	−0.480386	+	0.877057i	$0.659503\pi$
$164$	−0.209248	−	0.288005i	−0.0163395	−	0.0224894i
$165$	12.3467	+	19.5870i	0.961189	+	1.52485i
$166$	−1.67698	+	2.30817i	−0.130159	+	0.179149i
$167$	2.43378	−	1.24007i	0.188332	−	0.0959597i	−0.357282	−	0.933996i	$-0.616297\pi$
$167$	2.43378	−	1.24007i	0.188332	−	0.0959597i	0.545614	+	0.838037i	$0.316297\pi$
$168$	−10.1705	−	5.18215i	−0.784675	−	0.399812i
$169$	5.44762	+	7.49800i	0.419048	+	0.576770i
$170$	−8.78443	+	3.76961i	−0.673735	+	0.289116i
$171$	3.60563	+	11.0970i	0.275729	+	0.848607i
$172$	−1.52824	−	0.242050i	−0.116527	−	0.0184561i
$173$	−7.69830	+	15.1088i	−0.585291	+	1.14870i	0.388541	+	0.921431i	$0.372979\pi$
$173$	−7.69830	+	15.1088i	−0.585291	+	1.14870i	−0.973832	+	0.227267i	$0.927021\pi$
$174$	−16.1006	−	5.23141i	−1.22059	−	0.396593i
$175$	−7.81053	+	2.75829i	−0.590421	+	0.208507i
$176$	16.6496	+	5.40979i	1.25501	+	0.407778i
$177$	−7.26760	−	1.15107i	−0.546266	−	0.0865200i
$178$	2.46832	−	15.5844i	0.185009	−	1.16810i
$179$	−0.269661	−	0.195920i	−0.0201554	−	0.0146437i	0.577662	−	0.816276i	$-0.303965\pi$
$179$	−0.269661	−	0.195920i	−0.0201554	−	0.0146437i	−0.597817	+	0.801632i	$0.703965\pi$
$180$	0.185177	+	2.02484i	0.0138023	+	0.150923i
$181$		−	13.3726i		−	0.993980i	−0.867756	−	0.496990i	$-0.834439\pi$
$181$		−	13.3726i		−	0.993980i	0.867756	−	0.496990i	$-0.165561\pi$
$182$	−1.82928	−	11.5496i	−0.135595	−	0.856113i
$183$	17.1905	−	33.7383i	1.27076	−	2.49401i
$184$	−4.63233	+	14.2568i	−0.341500	+	1.05103i
$185$	10.4993	−	12.6130i	0.771924	−	0.927325i
$186$	11.9713	−	18.1773i	0.877781	−	1.33282i
$187$	−8.00697	+	8.00697i	−0.585528	+	0.585528i
$188$	0.223336	−	0.113795i	0.0162884	−	0.00829938i
$189$	−1.11040	−	3.41746i	−0.0807698	−	0.248584i
$190$	9.87729	−	2.50398i	0.716574	−	0.181658i
$191$	−9.92098			−0.717857			−0.358928	−	0.933365i	$-0.616858\pi$
$191$	−9.92098			−0.717857			−0.358928	+	0.933365i	$0.616858\pi$
$192$	−12.6368	−	12.6368i	−0.911983	−	0.911983i
$193$	0.620340	+	3.91667i	0.0446530	+	0.281928i	0.999904	−	0.0138689i	$-0.00441475\pi$
$193$	0.620340	+	3.91667i	0.0446530	+	0.281928i	−0.955251	+	0.295797i	$0.904415\pi$
$194$	11.7856	+	16.2215i	0.846156	+	1.16463i
$195$	20.7407	−	18.1733i	1.48528	−	1.30142i
$196$	0.312214	−	0.960896i	0.0223010	−	0.0686355i
$197$	0.836723	+	5.28286i	0.0596140	+	0.376388i	0.999400	+	0.0346255i	$0.0110238\pi$
$197$	0.836723	+	5.28286i	0.0596140	+	0.376388i	−0.939786	+	0.341763i	$0.888976\pi$
$198$	10.3048	+	20.2244i	0.732332	+	1.43728i
$199$	7.31155	+	22.5027i	0.518302	+	1.59517i	0.777192	+	0.629264i	$0.216643\pi$
$199$	7.31155	+	22.5027i	0.518302	+	1.59517i	−0.258889	+	0.965907i	$0.583357\pi$
$200$	−13.1781	+	0.333720i	−0.931833	+	0.0235976i
$201$	20.1583	−	6.54983i	1.42186	−	0.461989i
$202$	−1.06728	−	0.543806i	−0.0750935	−	0.0382621i
$203$	1.12232	−	7.08607i	0.0787717	−	0.497345i
$204$	−1.68653	+	0.547985i	−0.118080	+	0.0383667i
$205$	3.26981	+	0.741363i	0.228373	+	0.0517790i
$206$	6.88976	+	5.00570i	0.480032	+	0.348764i
$207$	−19.4030	+	9.88634i	−1.34860	+	0.687148i
$208$	3.26171	−	20.5936i	0.226159	−	1.42791i
$209$	9.76534	−	7.09494i	0.675483	−	0.490767i
$210$	−14.0370	+	3.55851i	−0.968646	+	0.245561i
$211$	−6.32522			−0.435446			−0.217723	−	0.976011i	$-0.569863\pi$
$211$	−6.32522			−0.435446			−0.217723	+	0.976011i	$0.569863\pi$
$212$	2.37162	+	2.37162i	0.162883	+	0.162883i
$213$	−1.07554	+	0.170349i	−0.0736950	+	0.0116721i
$214$	22.5360	−	7.32238i	1.54053	−	0.500547i
$215$	12.3278	−	7.77084i	0.840749	−	0.529967i
$216$		−	5.71858i		−	0.389100i
$217$	8.40212	+	3.80579i	0.570373	+	0.258354i
$218$	−19.4486	−	19.4486i	−1.31722	−	1.31722i
$219$	−3.35818	−	1.09114i	−0.226925	−	0.0737322i
$220$	1.93298	−	0.829489i	0.130322	−	0.0559241i
$221$	10.9108	+	7.92715i	0.733939	+	0.533238i
$222$	20.2871	−	20.2871i	1.36158	−	1.36158i
$223$	4.88027	−	4.88027i	0.326807	−	0.326807i	−0.524564	−	0.851371i	$-0.675772\pi$
$223$	4.88027	−	4.88027i	0.326807	−	0.326807i	0.851371	+	0.524564i	$0.175772\pi$
$224$	−1.30116	+	1.79089i	−0.0869373	+	0.119659i
$225$	−13.8794	−	13.1938i	−0.925294	−	0.879587i
$226$	−5.98178	+	4.34601i	−0.397902	+	0.289093i
$227$	−4.77681	−	9.37502i	−0.317048	−	0.622242i	0.676399	−	0.736535i	$-0.263540\pi$
$227$	−4.77681	−	9.37502i	−0.317048	−	0.622242i	−0.993447	+	0.114294i	$0.963540\pi$
$228$	1.86704	−	0.295710i	0.123648	−	0.0195839i
$229$	4.64417	−	14.2933i	0.306896	−	0.944528i	−0.672067	−	0.740490i	$-0.734593\pi$
$229$	4.64417	−	14.2933i	0.306896	−	0.944528i	0.978963	−	0.204038i	$-0.0654065\pi$
$230$	7.49951	+	17.4763i	0.494503	+	1.15236i
$231$	−13.8779	+	10.0829i	−0.913100	+	0.663406i
$232$	5.18350	−	10.1732i	0.340313	−	0.667903i
$233$	6.84432	−	13.4327i	0.448386	−	0.880008i	−0.550590	−	0.834776i	$-0.685597\pi$
$233$	6.84432	−	13.4327i	0.448386	−	0.880008i	0.998977	−	0.0452321i	$-0.0144027\pi$
$234$	21.8709	−	15.8901i	1.42975	−	1.03877i
$235$	−0.875723	+	2.19227i	−0.0571259	+	0.143008i
$236$	−0.206569	+	0.635753i	−0.0134465	+	0.0413840i
$237$	5.05508	−	0.800646i	0.328363	−	0.0520075i
$238$	−3.21522	−	6.31022i	−0.208411	−	0.409031i
$239$	−5.28925	+	3.84286i	−0.342133	+	0.248574i	−0.745561	−	0.666437i	$-0.767818\pi$
$239$	−5.28925	+	3.84286i	−0.342133	+	0.248574i	0.403428	+	0.915011i	$0.367818\pi$
$240$	−25.7646	−	1.69985i	−1.66310	−	0.109725i
$241$	−6.90778	+	9.50775i	−0.444969	+	0.612448i	−0.971307	−	0.237828i	$-0.923565\pi$
$241$	−6.90778	+	9.50775i	−0.444969	+	0.612448i	0.526338	+	0.850275i	$0.323565\pi$
$242$	4.96931	−	4.96931i	0.319439	−	0.319439i
$243$	−15.3588	+	15.3588i	−0.985265	+	0.985265i
$244$	−2.78299	−	2.02196i	−0.178162	−	0.129443i
$245$	3.75245	+	8.74445i	0.239735	+	0.558662i
$246$	5.57458	+	1.81129i	0.355422	+	0.115484i
$247$	−10.1655	−	10.1655i	−0.646817	−	0.646817i
$248$	10.8454	+	9.89226i	0.688684	+	0.628159i
$249$		−	4.98477i		−	0.315897i
$250$	−12.2952	+	11.3361i	−0.777614	+	0.716957i
$251$	−21.2635	+	6.90892i	−1.34214	+	0.436087i	−0.890041	−	0.455881i	$-0.849324\pi$
$251$	−21.2635	+	6.90892i	−1.34214	+	0.436087i	−0.452098	+	0.891968i	$0.649324\pi$
$252$	−1.48787	+	0.235656i	−0.0937272	+	0.0148449i
$253$	15.9296	+	15.9296i	1.00149	+	1.00149i
$254$	25.6838			1.61155
$255$	8.54547	−	14.3496i	0.535138	−	0.898605i
$256$	−4.54748	+	3.30394i	−0.284217	+	0.206496i
$257$	−1.14571	+	7.23375i	−0.0714676	+	0.451229i	0.925841	+	0.377913i	$0.123358\pi$
$257$	−1.14571	+	7.23375i	−0.0714676	+	0.451229i	−0.997309	+	0.0733159i	$0.976642\pi$
$258$	22.6995	−	11.5660i	1.41321	−	0.720065i
$259$	9.83651	+	7.14664i	0.611211	+	0.444071i
$260$	−1.33591	−	2.11931i	−0.0828496	−	0.131434i
$261$	15.7745	−	5.12543i	0.976414	−	0.317256i
$262$	−1.71637	+	10.8367i	−0.106038	+	0.669495i
$263$	8.47215	+	4.31678i	0.522415	+	0.266184i	0.695251	−	0.718767i	$-0.255293\pi$
$263$	8.47215	+	4.31678i	0.522415	+	0.266184i	−0.172836	+	0.984951i	$0.555293\pi$
$264$	−25.9635	+	8.43606i	−1.59794	+	0.519204i
$265$	−31.5196	−	2.07954i	−1.93624	−	0.127745i
$266$	2.33288	+	7.17986i	0.143038	+	0.440226i
$267$	12.5156	+	24.5632i	0.765942	+	1.50325i
$268$	−0.301225	−	1.90186i	−0.0184002	−	0.116175i
$269$	6.05823	−	18.6453i	0.369377	−	1.13682i	−0.577818	−	0.816166i	$-0.696096\pi$
$269$	6.05823	−	18.6453i	0.369377	−	1.13682i	0.947195	−	0.320659i	$-0.103904\pi$
$270$	−4.78106	−	5.45650i	−0.290966	−	0.332072i
$271$	0.556816	+	0.766391i	0.0338241	+	0.0465549i	0.825594	−	0.564264i	$-0.190840\pi$
$271$	0.556816	+	0.766391i	0.0338241	+	0.0465549i	−0.791770	+	0.610819i	$0.790840\pi$
$272$	−1.97543	−	12.4724i	−0.119778	−	0.756250i
$273$	14.4466	+	14.4466i	0.874351	+	0.874351i
$274$	−29.8291			−1.80204
$275$	−8.54405	+	17.8733i	−0.515225	+	1.07780i
$276$	1.09020	+	3.35529i	0.0656223	+	0.201965i
$277$	19.2197	−	9.79293i	1.15480	−	0.588400i	0.231635	−	0.972803i	$-0.425593\pi$
$277$	19.2197	−	9.79293i	1.15480	−	0.588400i	0.923165	+	0.384403i	$0.125593\pi$
$278$	8.14756	−	8.14756i	0.488658	−	0.488658i
$279$	0.979076	+	21.3018i	0.0586157	+	1.27531i
$280$	−0.889462	−	9.72592i	−0.0531555	−	0.581235i
$281$	2.64985	−	8.15540i	0.158077	−	0.486510i	−0.840383	−	0.541993i	$-0.817670\pi$
$281$	2.64985	−	8.15540i	0.158077	−	0.486510i	0.998460	+	0.0554830i	$0.0176699\pi$
$282$	−1.87365	+	3.67724i	−0.111574	+	0.218976i
$283$	3.12721	+	19.7444i	0.185893	+	1.17368i	0.887393	+	0.461014i	$0.152514\pi$
$283$	3.12721	+	19.7444i	0.185893	+	1.17368i	−0.701499	+	0.712670i	$0.747486\pi$
$284$			0.0989279i			0.00587029i
$285$	−11.3900	+	13.6829i	−0.674683	+	0.810508i
$286$	−22.6255	−	16.4384i	−1.33787	−	0.972023i
$287$	−0.388586	+	2.45344i	−0.0229375	+	0.144822i
$288$	−5.05468	−	0.800582i	−0.297850	−	0.0471748i
$289$	−8.39974	−	2.72924i	−0.494102	−	0.160544i
$290$	−3.55944	−	14.0407i	−0.209017	−	0.824496i
$291$	−33.3176	−	10.8255i	−1.95311	−	0.634605i
$292$	−0.145631	+	0.285818i	−0.00852243	+	0.0167262i
$293$	15.7375	+	2.49258i	0.919395	+	0.145618i	0.598156	−	0.801380i	$-0.295900\pi$
$293$	15.7375	+	2.49258i	0.919395	+	0.145618i	0.321240	+	0.946998i	$0.395900\pi$
$294$	5.14062	+	15.8212i	0.299807	+	0.922711i
$295$	−2.48271	−	5.78554i	−0.144549	−	0.336847i
$296$	11.3735	+	15.6542i	0.661069	+	0.909883i
$297$	−7.65724	−	3.90156i	−0.444318	−	0.226392i
$298$	1.18272	−	0.602625i	0.0685130	−	0.0349091i
$299$	15.7708	−	21.7067i	0.912050	−	1.25533i
$300$	−2.46293	+	1.88651i	−0.142197	+	0.108917i
$301$	6.34603	+	8.73457i	0.365779	+	0.503452i
$302$	−18.2877	−	2.89649i	−1.05234	−	0.166674i
$303$	2.06706	−	0.327390i	0.118749	−	0.0188080i
$304$			13.4610i			0.772040i
$305$	32.2634	−	2.95057i	1.84739	−	0.168949i
$306$	9.62375	−	13.2460i	0.550153	−	0.757221i
$307$	−12.1739	−	6.20291i	−0.694801	−	0.354019i	0.0706607	−	0.997500i	$-0.477489\pi$
$307$	−12.1739	−	6.20291i	−0.694801	−	0.354019i	−0.765461	+	0.643482i	$0.777489\pi$
$308$	0.707497	+	1.38854i	0.0403134	+	0.0791194i
$309$	−14.8793			−0.846452
$310$	18.6189	+	0.371512i	1.05748	+	0.0211004i
$311$	24.0395			1.36315			0.681576	−	0.731747i	$-0.261295\pi$
$311$	24.0395			1.36315			0.681576	+	0.731747i	$0.261295\pi$
$312$	14.7611	+	28.9703i	0.835684	+	1.64012i
$313$	−12.1779	−	6.20494i	−0.688335	−	0.350724i	0.0745873	−	0.997214i	$-0.476236\pi$
$313$	−12.1779	−	6.20494i	−0.688335	−	0.350724i	−0.762922	+	0.646490i	$0.776236\pi$
$314$	15.6179	−	21.4962i	0.881368	−	1.21310i
$315$	9.07685	−	10.9042i	0.511422	−	0.614380i
$316$		−	0.464963i		−	0.0261562i
$317$	−17.3683	+	2.75086i	−0.975498	+	0.154504i	−0.623778	−	0.781601i	$-0.714403\pi$
$317$	−17.3683	+	2.75086i	−0.975498	+	0.154504i	−0.351720	+	0.936105i	$0.614403\pi$
$318$	−54.5434	−	8.63882i	−3.05864	−	0.484441i
$319$	−10.0855	−	13.8815i	−0.564681	−	0.777216i
$320$	3.38105	−	14.9122i	0.189006	−	0.833620i
$321$	−24.3346	+	33.4937i	−1.35822	+	1.86943i
$322$	−12.5540	+	6.39657i	−0.699605	+	0.356467i
$323$	−7.75787	−	3.95283i	−0.431659	−	0.219941i
$324$	0.812378	+	1.11814i	0.0451321	+	0.0621190i
$325$	22.6171	+	6.72069i	1.25457	+	0.372797i
$326$	−3.98068	−	12.2513i	−0.220470	−	0.678536i
$327$	47.4633	+	7.51745i	2.62473	+	0.415716i
$328$	−1.79470	+	3.52230i	−0.0990957	+	0.194486i
$329$	−1.66340	−	0.540471i	−0.0917061	−	0.0297971i
$330$	−17.7206	+	29.7564i	−0.975486	+	1.63804i
$331$	−0.807043	−	0.262224i	−0.0443591	−	0.0144131i	0.286753	−	0.958004i	$-0.407424\pi$
$331$	−0.807043	−	0.262224i	−0.0443591	−	0.0144131i	−0.331112	+	0.943591i	$0.607424\pi$
$332$	−0.447276	−	0.0708416i	−0.0245475	−	0.00388794i
$333$	−4.39722	+	27.7629i	−0.240966	+	1.52140i
$334$	3.30546	+	2.40156i	0.180867	+	0.131407i
$335$	13.9381	+	11.6024i	0.761522	+	0.633906i
$336$		−	19.1299i		−	1.04362i
$337$	−3.14413	−	19.8512i	−0.171272	−	1.08137i	−0.912189	−	0.409770i	$-0.865609\pi$
$337$	−3.14413	−	19.8512i	−0.171272	−	1.08137i	0.740917	−	0.671596i	$-0.234391\pi$
$338$	−6.29374	+	12.3522i	−0.342334	+	0.671869i
$339$	3.99200	−	12.2861i	0.216815	−	0.667289i
$340$	−1.16612	−	0.970703i	−0.0632418	−	0.0526438i
$341$	20.6452	−	7.77303i	1.11800	−	0.420933i
$342$	−12.3412	+	12.3412i	−0.667335	+	0.667335i
$343$	−16.6141	+	8.46532i	−0.897078	+	0.457084i
$344$	5.30954	+	16.3411i	0.286271	+	0.881052i
$345$	−28.5480	−	17.0009i	−1.53697	−	0.915299i
$346$	−25.3643			−1.36359
$347$	−8.14046	−	8.14046i	−0.437003	−	0.437003i	0.453999	−	0.891002i	$-0.349997\pi$
$347$	−8.14046	−	8.14046i	−0.437003	−	0.437003i	−0.891002	+	0.453999i	$0.849997\pi$
$348$	−0.420354	−	2.65401i	−0.0225333	−	0.142270i
$349$	6.06705	+	8.35057i	0.324762	+	0.446996i	0.939913	−	0.341413i	$-0.110905\pi$
$349$	6.06705	+	8.35057i	0.324762	+	0.446996i	−0.615152	+	0.788409i	$0.710905\pi$
$350$	−8.98013	−	8.53654i	−0.480008	−	0.456297i
$351$	−3.16293	+	9.73449i	−0.168825	+	0.519589i
$352$	0.828205	+	5.22908i	0.0441435	+	0.278711i
$353$	14.6735	+	28.7984i	0.780991	+	1.53278i	0.844960	+	0.534830i	$0.179624\pi$
$353$	14.6735	+	28.7984i	0.780991	+	1.53278i	−0.0639681	+	0.997952i	$0.520376\pi$
$354$	−3.40116	−	10.4677i	−0.180770	−	0.556352i
$355$	−0.614021	−	0.700766i	−0.0325889	−	0.0371928i
$356$	2.38189	−	0.773923i	0.126240	−	0.0410178i
$357$	11.0250	+	5.61753i	0.583506	+	0.297311i
$358$	0.0779949	−	0.492441i	0.00412216	−	0.0260263i
$359$	−22.4848	+	7.30577i	−1.18670	+	0.385584i	−0.834854	−	0.550472i	$-0.814448\pi$
$359$	−22.4848	+	7.30577i	−1.18670	+	0.385584i	−0.351851	+	0.936056i	$0.614448\pi$
$360$	19.1007	−	12.0402i	1.00670	−	0.634573i
$361$	−7.86260	−	5.71252i	−0.413821	−	0.300659i
$362$	17.8226	−	9.08108i	0.936737	−	0.477291i
$363$	−1.92078	+	12.1274i	−0.100815	+	0.636521i
$364$	1.50159	−	1.09097i	0.0787046	−	0.0571822i
$365$	−0.742406	−	2.92852i	−0.0388593	−	0.153286i
$366$	56.6391			2.96057
$367$	8.08558	+	8.08558i	0.422064	+	0.422064i	0.885914	−	0.463850i	$-0.153532\pi$
$367$	8.08558	+	8.08558i	0.422064	+	0.422064i	−0.463850	+	0.885914i	$0.653532\pi$
$368$	−24.8134	+	3.93006i	−1.29349	+	0.204869i
$369$	−5.46164	+	1.77460i	−0.284322	+	0.0923817i
$370$	23.9400	+	5.42792i	1.24458	+	0.282184i
$371$		−	23.4030i		−	1.21502i
$372$	3.43338	+	0.383199i	0.178012	+	0.0198679i
$373$	−21.3665	−	21.3665i	−1.10632	−	1.10632i	−0.993631	−	0.112686i	$-0.964055\pi$
$373$	−21.3665	−	21.3665i	−1.10632	−	1.10632i	−0.112686	−	0.993631i	$-0.535945\pi$
$374$	−16.1088	−	5.23407i	−0.832967	−	0.270647i
$375$	5.73736	−	28.6501i	0.296276	−	1.47948i
$376$	−2.25184	−	1.63606i	−0.116130	−	0.0843733i
$377$	−14.4504	+	14.4504i	−0.744233	+	0.744233i
$378$	3.80064	−	3.80064i	0.195484	−	0.195484i
$379$	−4.41514	+	6.07692i	−0.226791	+	0.312151i	−0.907215	−	0.420668i	$-0.861796\pi$
$379$	−4.41514	+	6.07692i	−0.226791	+	0.312151i	0.680424	+	0.732819i	$0.261796\pi$
$380$	1.06588	+	1.21646i	0.0546786	+	0.0624032i
$381$	−36.3038	+	26.3763i	−1.85990	+	1.35130i
$382$	−6.73713	−	13.2224i	−0.344702	−	0.676515i
$383$	−12.2412	+	1.93882i	−0.625498	+	0.0990691i	−0.461134	−	0.887331i	$-0.652557\pi$
$383$	−12.2412	+	1.93882i	−0.625498	+	0.0990691i	−0.164364	+	0.986400i	$0.552557\pi$
$384$	10.4188	−	32.0657i	0.531681	−	1.63635i
$385$	−13.6300	−	5.44461i	−0.694647	−	0.277483i
$386$	−4.79876	+	3.48650i	−0.244250	+	0.177458i
$387$	−11.3316	+	22.2396i	−0.576020	+	1.13050i
$388$	−1.44486	+	2.83569i	−0.0733516	+	0.143961i
$389$	−7.00578	+	5.09000i	−0.355207	+	0.258073i	−0.751050	−	0.660245i	$-0.770452\pi$
$389$	−7.00578	+	5.09000i	−0.355207	+	0.258073i	0.395843	+	0.918318i	$0.370452\pi$
$390$	38.3055	+	15.3015i	1.93967	+	0.774820i
$391$	5.02151	−	15.4546i	0.253949	−	0.781574i
$392$	−11.0813	+	1.75511i	−0.559693	+	0.0886466i
$393$	−8.70281	−	17.0802i	−0.438999	−	0.861584i
$394$	−6.47263	+	4.70264i	−0.326086	+	0.236916i
$395$	2.88592	+	3.29362i	0.145206	+	0.165720i
$396$	−2.11767	+	2.91473i	−0.106417	+	0.146470i
$397$	−8.04233	+	8.04233i	−0.403633	+	0.403633i	−0.879511	−	0.475878i	$-0.842130\pi$
$397$	−8.04233	+	8.04233i	−0.403633	+	0.403633i	0.475878	+	0.879511i	$0.342130\pi$
$398$	−25.0257	+	25.0257i	−1.25443	+	1.25443i
$399$	−10.6709	−	7.75289i	−0.534215	−	0.388130i
$400$	−10.5248	−	19.4242i	−0.526242	−	0.971211i
$401$	−17.9263	−	5.82459i	−0.895195	−	0.290866i	−0.174942	−	0.984579i	$-0.555974\pi$
$401$	−17.9263	−	5.82459i	−0.895195	−	0.290866i	−0.720252	+	0.693712i	$0.755974\pi$
$402$	22.4185	+	22.4185i	1.11813	+	1.11813i
$403$	−12.9903	−	22.8377i	−0.647092	−	1.13763i
$404$		−	0.190127i		−	0.00945917i
$405$	−12.6946	−	2.87824i	−0.630800	−	0.143021i
$406$	10.2062	−	3.31621i	0.506527	−	0.164581i
$407$	28.7208	−	4.54893i	1.42364	−	0.225482i
$408$	13.9243	+	13.9243i	0.689357	+	0.689357i
$409$	5.13020			0.253672			0.126836	−	0.991924i	$-0.459518\pi$
$409$	5.13020			0.253672			0.126836	+	0.991924i	$0.459518\pi$
$410$	1.23240	+	4.86134i	0.0608637	+	0.240085i
$411$	42.1631	−	30.6333i	2.07975	−	1.51103i
$412$	−0.211458	+	1.33510i	−0.0104178	+	0.0657755i
$413$	4.15599	−	2.11758i	0.204503	−	0.104199i
$414$	−26.3524	−	19.1461i	−1.29515	−	0.940981i
$415$	3.60802	−	2.27432i	0.177111	−	0.111642i
$416$	5.99690	−	1.94851i	0.294022	−	0.0955336i
$417$	−3.14927	+	19.8837i	−0.154221	+	0.973710i
$418$	16.0874	+	8.19692i	0.786858	+	0.400924i
$419$	14.2880	−	4.64244i	0.698012	−	0.226798i	0.0615479	−	0.998104i	$-0.480396\pi$
$419$	14.2880	−	4.64244i	0.698012	−	0.226798i	0.636464	+	0.771306i	$0.280396\pi$
$420$	−1.51477	−	1.72876i	−0.0739131	−	0.0843550i
$421$	−6.11401	−	18.8170i	−0.297979	−	0.917084i	−0.982205	−	0.187814i	$-0.939860\pi$
$421$	−6.11401	−	18.8170i	−0.297979	−	0.917084i	0.684226	−	0.729270i	$-0.260140\pi$
$422$	−4.29533	−	8.43005i	−0.209093	−	0.410368i
$423$	−0.632535	−	3.99367i	−0.0307549	−	0.194179i
$424$	11.5092	−	35.4216i	0.558935	−	1.72022i
$425$	14.2853	−	0.361758i	0.692937	−	0.0175478i
$426$	−0.957415	−	1.31777i	−0.0463869	−	0.0638461i
$427$	3.75489	+	23.7075i	0.181712	+	1.14728i
$428$	2.65951	+	2.65951i	0.128552	+	0.128552i
$429$	48.8625			2.35910
$430$	18.7283	+	11.1531i	0.903158	+	0.537849i
$431$	−7.10351	−	21.8624i	−0.342164	−	1.05307i	−0.963085	−	0.269199i	$-0.913241\pi$
$431$	−7.10351	−	21.8624i	−0.342164	−	1.05307i	0.620921	−	0.783873i	$-0.286759\pi$
$432$	8.53924	−	4.35096i	0.410844	−	0.209336i
$433$	−12.1866	+	12.1866i	−0.585650	+	0.585650i	−0.936450	−	0.350800i	$-0.885910\pi$
$433$	−12.1866	+	12.1866i	−0.585650	+	0.585650i	0.350800	+	0.936450i	$0.385910\pi$
$434$	0.633473	+	13.7825i	0.0304077	+	0.661582i
$435$	19.4504	+	16.1909i	0.932577	+	0.776296i
$436$	1.34906	−	4.15198i	0.0646082	−	0.198844i
$437$	−7.86403	+	15.4340i	−0.376188	+	0.738310i
$438$	−0.826235	−	5.21664i	−0.0394790	−	0.249261i
$439$			19.2448i			0.918503i	0.888306	+	0.459252i	$0.151882\pi$
$439$			19.2448i			0.918503i	−0.888306	+	0.459252i	$0.848118\pi$
$440$	−17.9521	−	14.9437i	−0.855831	−	0.712411i
$441$	−13.1857	−	9.57995i	−0.627889	−	0.456188i
$442$	−3.15577	+	19.9247i	−0.150105	+	0.947723i
$443$	−1.76517	−	0.279576i	−0.0838660	−	0.0132831i	0.114360	−	0.993439i	$-0.463518\pi$
$443$	−1.76517	−	0.279576i	−0.0838660	−	0.0132831i	−0.198226	+	0.980156i	$0.563518\pi$
$444$	4.33099	+	1.40722i	0.205540	+	0.0667838i
$445$	−12.0688	+	20.2660i	−0.572117	+	0.960700i
$446$	9.81837	+	3.19018i	0.464913	+	0.151060i
$447$	−1.05289	+	2.06641i	−0.0497999	+	0.0977378i
$448$	11.1891	+	1.77218i	0.528635	+	0.0837276i
$449$	1.18759	+	3.65503i	0.0560458	+	0.172491i	0.975161	−	0.221498i	$-0.0710947\pi$
$449$	1.18759	+	3.65503i	0.0560458	+	0.172491i	−0.919115	+	0.393989i	$0.871095\pi$
$450$	8.15908	−	27.4577i	0.384623	−	1.29437i
$451$	3.49194	+	4.80625i	0.164429	+	0.226317i
$452$	−1.04568	−	0.532801i	−0.0491847	−	0.0250609i
$453$	28.8240	−	14.6866i	1.35427	−	0.690036i
$454$	9.25090	−	12.7328i	0.434166	−	0.597579i
$455$	−3.86528	+	17.0480i	−0.181207	+	0.799221i
$456$	−12.3383	−	16.9822i	−0.577792	−	0.795263i
$457$	−4.27205	−	0.676626i	−0.199838	−	0.0316512i	0.0557129	−	0.998447i	$-0.482257\pi$
$457$	−4.27205	−	0.676626i	−0.199838	−	0.0316512i	−0.255551	+	0.966796i	$0.582257\pi$
$458$	22.2034	−	3.51668i	1.03750	−	0.164324i
$459$			6.19902i			0.289346i
$460$	−1.93118	+	2.31996i	−0.0900419	+	0.108169i
$461$	6.21315	−	8.55167i	0.289375	−	0.398291i	−0.639436	−	0.768845i	$-0.720832\pi$
$461$	6.21315	−	8.55167i	0.289375	−	0.398291i	0.928811	+	0.370553i	$0.120832\pi$
$462$	−22.8624	−	11.6490i	−1.06365	−	0.541959i
$463$	7.18476	+	14.1009i	0.333904	+	0.655324i	0.995523	−	0.0945164i	$-0.0301305\pi$
$463$	7.18476	+	14.1009i	0.333904	+	0.655324i	−0.661619	+	0.749840i	$0.730130\pi$
$464$	19.1349			0.888315
$465$	−26.6991	+	18.5957i	−1.23814	+	0.862356i
$466$	22.5506			1.04463
$467$	−15.3902	−	30.2049i	−0.712171	−	1.39772i	−0.908798	−	0.417237i	$-0.862999\pi$
$467$	−15.3902	−	30.2049i	−0.712171	−	1.39772i	0.196626	−	0.980478i	$-0.437001\pi$
$468$	3.82328	+	1.94806i	0.176731	+	0.0900490i
$469$	−7.89749	+	10.8700i	−0.364672	+	0.501928i
$470$	−3.51648	+	0.321592i	−0.162203	+	0.0148339i
$471$			46.4236i			2.13909i
$472$	7.33169	−	1.16123i	0.337468	−	0.0534497i
$473$	25.5034	+	4.03934i	1.17265	+	0.185729i
$474$	4.49988	+	6.19355i	0.206686	+	0.284479i
$475$	−15.1006	−	2.00126i	−0.692861	−	0.0918243i
$476$	0.660736	−	0.909425i	0.0302848	−	0.0416834i
$477$	48.2075	−	24.5629i	2.20727	−	1.12466i
$478$	−8.71347	−	4.43973i	−0.398545	−	0.203069i
$479$	19.8823	+	27.3657i	0.908447	+	1.25037i	0.967694	+	0.252127i	$0.0811299\pi$
$479$	19.8823	+	27.3657i	0.908447	+	1.25037i	−0.0592473	+	0.998243i	$0.518870\pi$
$480$	−3.07931	−	7.17581i	−0.140551	−	0.327529i
$481$	−10.7022	−	32.9381i	−0.487980	−	1.50185i
$482$	−17.3626	−	2.74996i	−0.790843	−	0.125257i
$483$	11.1759	−	21.9339i	0.508521	−	0.998028i
$484$	1.06087	+	0.344699i	0.0482215	+	0.0156681i
$485$	−7.36566	−	29.0548i	−0.334458	−	1.31931i
$486$	−30.8995	−	10.0399i	−1.40163	−	0.455417i
$487$	33.6706	+	5.33289i	1.52576	+	0.241657i	0.862239	−	0.506502i	$-0.169062\pi$
$487$	33.6706	+	5.33289i	1.52576	+	0.241657i	0.663520	+	0.748158i	$0.269062\pi$
$488$	−5.97569	+	37.7290i	−0.270507	+	1.70791i
$489$	18.2082	+	13.2291i	0.823405	+	0.598239i
$490$	−9.10611	+	10.9393i	−0.411372	+	0.494188i
$491$			23.8399i			1.07588i	0.842983	+	0.537941i	$0.180798\pi$
$491$			23.8399i			1.07588i	−0.842983	+	0.537941i	$0.819202\pi$
$492$	0.145541	+	0.918907i	0.00656148	+	0.0414275i
$493$	−5.61899	+	11.0279i	−0.253067	+	0.496671i
$494$	6.64510	−	20.4515i	0.298977	−	0.920157i
$495$	−3.09025	−	33.7906i	−0.138896	−	1.51878i
$496$	−6.51988	+	23.7213i	−0.292751	+	1.06512i
$497$	0.488107	−	0.488107i	0.0218946	−	0.0218946i
$498$	6.64354	−	3.38505i	0.297704	−	0.151688i
$499$	−1.23829	−	3.81105i	−0.0554333	−	0.170606i	0.919507	−	0.393075i	$-0.128589\pi$
$499$	−1.23829	−	3.81105i	−0.0554333	−	0.170606i	−0.974940	+	0.222468i	$0.928589\pi$
$500$	−2.48920	−	0.921969i	−0.111320	−	0.0412317i
$501$	−7.13854			−0.318927
$502$	−23.6476	−	23.6476i	−1.05544	−	1.05544i
$503$	−4.79847	−	30.2964i	−0.213953	−	1.35085i	−0.827623	−	0.561285i	$-0.810307\pi$
$503$	−4.79847	−	30.2964i	−0.213953	−	1.35085i	0.613670	−	0.789563i	$-0.289693\pi$
$504$	9.83257	+	13.5334i	0.437978	+	0.602824i
$505$	1.18007	+	1.34678i	0.0525125	+	0.0599311i
$506$	−10.4130	+	32.0480i	−0.462915	+	1.42471i
$507$	−3.78904	−	23.9231i	−0.168277	−	1.06246i
$508$	1.85077	+	3.63234i	0.0821147	+	0.161159i
$509$	−3.01847	−	9.28989i	−0.133791	−	0.411767i	0.861609	−	0.507573i	$-0.169457\pi$
$509$	−3.01847	−	9.28989i	−0.133791	−	0.411767i	−0.995400	+	0.0958059i	$0.969457\pi$
$510$	24.9277	+	1.64463i	1.10382	+	0.0728255i
$511$	2.12876	−	0.691675i	0.0941707	−	0.0305979i
$512$	15.4984	+	7.89682i	0.684939	+	0.348994i
$513$	1.03372	−	6.52664i	0.0456398	−	0.288158i
$514$	−10.4189	+	3.38532i	−0.459560	+	0.149320i
$515$	−6.78873	−	10.7698i	−0.299147	−	0.474572i
$516$	3.27144	+	2.37684i	0.144017	+	0.104634i
$517$	−3.72704	+	1.89902i	−0.163915	+	0.0835190i
$518$	−2.84505	+	17.9629i	−0.125004	+	0.789246i
$519$	35.8521	−	26.0481i	1.57373	−	1.14338i
$520$	−14.2342	+	23.9021i	−0.624210	+	1.04818i
$521$	−20.0454			−0.878204			−0.439102	−	0.898437i	$-0.644703\pi$
$521$	−20.0454			−0.878204			−0.439102	+	0.898437i	$0.644703\pi$
$522$	17.5431	+	17.5431i	0.767842	+	0.767842i
$523$	−5.48235	+	0.868319i	−0.239726	+	0.0379689i	−0.275141	−	0.961404i	$-0.588725\pi$
$523$	−5.48235	+	0.868319i	−0.239726	+	0.0379689i	0.0354151	+	0.999373i	$0.488725\pi$
$524$	−1.65627	+	0.538154i	−0.0723543	+	0.0235094i
$525$	21.4600	+	2.84408i	0.936592	+	0.124126i
$526$			14.2229i			0.620146i
$527$	−11.7566	−	10.7234i	−0.512125	−	0.467117i
$528$	−32.3513	−	32.3513i	−1.40791	−	1.40791i
$529$	−8.87217	−	2.88274i	−0.385746	−	0.125337i
$530$	−18.6328	−	43.4206i	−0.809357	−	1.88607i
$531$	8.72396	+	6.33833i	0.378588	+	0.275060i
$532$	−0.847307	+	0.847307i	−0.0367354	+	0.0367354i
$533$	5.00321	−	5.00321i	0.216713	−	0.216713i
$534$	−24.2380	+	33.3608i	−1.04888	+	1.44366i
$535$	−35.3458	−	2.33198i	−1.52813	−	0.100820i
$536$	−17.2989	+	12.5684i	−0.747198	+	0.542871i
$537$	0.395472	+	0.776158i	0.0170659	+	0.0334937i
$538$	28.9639	−	4.58743i	1.24872	−	0.197778i
$539$	−5.21025	+	16.0355i	−0.224421	+	0.690698i
$540$	0.427164	−	1.06936i	0.0183822	−	0.0460178i
$541$	18.2005	−	13.2234i	0.782501	−	0.568520i	−0.123227	−	0.992378i	$-0.539324\pi$
$541$	18.2005	−	13.2234i	0.782501	−	0.568520i	0.905729	+	0.423858i	$0.139324\pi$
$542$	−0.643300	+	1.26255i	−0.0276321	+	0.0542310i
$543$	−15.8662	+	31.1392i	−0.680884	+	1.33631i
$544$	3.08955	−	2.24469i	0.132463	−	0.0962401i
$545$	16.2141	+	37.7843i	0.694537	+	1.61850i
$546$	−9.44361	+	29.0645i	−0.404149	+	1.24384i
$547$	−17.1993	+	2.72410i	−0.735388	+	0.116474i	−0.512884	−	0.858458i	$-0.671423\pi$
$547$	−17.1993	+	2.72410i	−0.735388	+	0.116474i	−0.222504	+	0.974932i	$0.571423\pi$
$548$	−2.14947	−	4.21858i	−0.0918210	−	0.180209i
$549$	−44.8937	+	32.6172i	−1.91601	+	1.39207i
$550$	−29.6231	+	0.750171i	−1.26313	+	0.0319874i
$551$	7.75491	−	10.6737i	0.330370	−	0.454716i
$552$	27.7020	−	27.7020i	1.17907	−	1.17907i
$553$	−2.29412	+	2.29412i	−0.0975558	+	0.0975558i
$554$	26.1034	+	18.9652i	1.10903	+	0.805756i
$555$	−39.4133	+	16.9132i	−1.67300	+	0.717924i
$556$	1.73938	+	0.565160i	0.0737663	+	0.0239681i
$557$	21.3165	+	21.3165i	0.903210	+	0.903210i	0.995712	−	0.0925024i	$-0.0294866\pi$
$557$	21.3165	+	21.3165i	0.903210	+	0.903210i	−0.0925024	+	0.995712i	$0.529487\pi$
$558$	−27.7255	+	15.7705i	−1.17372	+	0.667619i
$559$		−	30.7534i		−	1.30073i
$560$	13.8464	−	8.72811i	0.585118	−	0.368830i
$561$	28.1448	−	9.14481i	1.18828	−	0.386094i
$562$	12.6687	−	2.00653i	0.534397	−	0.0846402i
$563$	3.95232	+	3.95232i	0.166570	+	0.166570i	0.785470	−	0.618900i	$-0.212421\pi$
$563$	3.95232	+	3.95232i	0.166570	+	0.166570i	−0.618900	+	0.785470i	$0.712421\pi$
$564$	−0.655069			−0.0275834
$565$	10.7142	−	2.71614i	0.450748	−	0.114269i
$566$	−24.1911	+	17.5759i	−1.01683	+	0.738769i
$567$	1.50863	−	9.52513i	0.0633566	−	0.400018i
$568$	0.978818	−	0.498733i	0.0410703	−	0.0209264i
$569$	10.2265	+	7.43000i	0.428718	+	0.311482i	0.781136	−	0.624361i	$-0.214641\pi$
$569$	10.2265	+	7.43000i	0.428718	+	0.311482i	−0.352418	+	0.935843i	$0.614641\pi$
$570$	−25.9709	−	5.88837i	−1.08780	−	0.246637i
$571$	32.8143	−	10.6620i	1.37324	−	0.446191i	0.472795	−	0.881172i	$-0.343245\pi$
$571$	32.8143	−	10.6620i	1.37324	−	0.446191i	0.900440	+	0.434981i	$0.143245\pi$
$572$	0.694415	−	4.38437i	0.0290350	−	0.183320i
$573$	23.1017	+	11.7709i	0.965089	+	0.491737i
$574$	−3.53374	+	1.14818i	−0.147496	+	0.0479242i
$575$	−0.719706	−	28.4201i	−0.0300138	−	1.18520i
$576$	8.09319	+	24.9083i	0.337216	+	1.03784i
$577$	−14.7029	−	28.8560i	−0.612088	−	1.20129i	−0.964161	−	0.265318i	$-0.914523\pi$
$577$	−14.7029	−	28.8560i	−0.612088	−	1.20129i	0.352073	−	0.935972i	$-0.385477\pi$
$578$	−2.06665	−	13.0483i	−0.0859611	−	0.542737i
$579$	3.20250	−	9.85627i	0.133091	−	0.409613i
$580$	1.72921	−	1.51516i	0.0718016	−	0.0629136i
$581$	1.85732	+	2.55638i	0.0770546	+	0.106057i
$582$	−8.19736	−	51.7561i	−0.339791	−	2.14536i
$583$	−39.5777	−	39.5777i	−1.63914	−	1.63914i
$584$	3.56214			0.147402
$585$	−39.1737	+	9.93090i	−1.61963	+	0.410592i
$586$	7.36499	+	22.6671i	0.304245	+	0.936370i
$587$	−36.1288	+	18.4085i	−1.49119	+	0.759802i	−0.994159	−	0.107928i	$-0.965578\pi$
$587$	−36.1288	+	18.4085i	−1.49119	+	0.759802i	−0.497036	+	0.867730i	$0.665578\pi$
$588$	−1.86709	+	1.86709i	−0.0769973	+	0.0769973i
$589$	10.5897	+	13.2506i	0.436343	+	0.545980i
$590$	6.02483	−	7.23773i	0.248038	−	0.297972i
$591$	4.31957	−	13.2943i	0.177683	−	0.546853i
$592$	−14.7221	+	28.8938i	−0.605076	+	1.18753i
$593$	−1.35526	−	8.55676i	−0.0556538	−	0.351384i	−0.999763	−	0.0217524i	$-0.993075\pi$
$593$	−1.35526	−	8.55676i	−0.0556538	−	0.351384i	0.944110	−	0.329632i	$-0.106925\pi$
$594$		−	12.8548i		−	0.527439i
$595$	0.964190	+	10.5430i	0.0395279	+	0.432223i
$596$	0.170453	+	0.123841i	0.00698202	+	0.00507273i
$597$	9.67317	−	61.0740i	0.395897	−	2.49959i
$598$	39.6396	+	6.27830i	1.62098	+	0.256739i
$599$	−24.1930	−	7.86078i	−0.988499	−	0.321183i	−0.230238	−	0.973134i	$-0.573951\pi$
$599$	−24.1930	−	7.86078i	−0.988499	−	0.321183i	−0.758261	+	0.651951i	$0.773951\pi$
$600$	31.0821	+	14.8583i	1.26892	+	0.606588i
$601$	11.0913	+	3.60379i	0.452425	+	0.147002i	0.526361	−	0.850261i	$-0.323556\pi$
$601$	11.0913	+	3.60379i	0.452425	+	0.147002i	−0.0739360	+	0.997263i	$0.523556\pi$
$602$	−7.33169	+	14.3893i	−0.298818	+	0.586463i
$603$	−30.6798	−	4.85920i	−1.24938	−	0.197882i
$604$	−0.908171	−	2.79506i	−0.0369529	−	0.113729i
$605$	−9.65427	+	4.14288i	−0.392502	+	0.168432i
$606$	1.84003	+	2.53259i	0.0747461	+	0.102879i
$607$	26.3739	+	13.4382i	1.07048	+	0.545438i	0.898190	−	0.439608i	$-0.144883\pi$
$607$	26.3739	+	13.4382i	1.07048	+	0.545438i	0.172293	+	0.985046i	$0.444883\pi$
$608$	−3.62714	+	1.84812i	−0.147100	+	0.0749512i
$609$	−11.0208	+	15.1688i	−0.446586	+	0.614673i
$610$	25.8418	+	40.9959i	1.04630	+	1.65988i
$611$	2.92831	+	4.03048i	0.118467	+	0.163056i
$612$	2.56680	+	0.406541i	0.103757	+	0.0164334i
$613$	29.5141	−	4.67457i	1.19206	−	0.188804i	0.471291	−	0.881978i	$-0.343788\pi$
$613$	29.5141	−	4.67457i	1.19206	−	0.188804i	0.720771	+	0.693174i	$0.243788\pi$
$614$		−	20.4373i		−	0.824780i
$615$	−6.73439	−	5.60584i	−0.271557	−	0.226049i
$616$	10.1718	−	14.0003i	0.409834	−	0.564089i
$617$	−9.02346	−	4.59768i	−0.363271	−	0.185096i	0.262822	−	0.964844i	$-0.415347\pi$
$617$	−9.02346	−	4.59768i	−0.363271	−	0.185096i	−0.626093	+	0.779749i	$0.715347\pi$
$618$	−10.1042	−	19.8306i	−0.406451	−	0.797705i
$619$	−16.5128			−0.663704			−0.331852	−	0.943332i	$-0.607673\pi$
$619$	−16.5128			−0.663704			−0.331852	+	0.943332i	$0.607673\pi$
$620$	1.28913	+	2.65995i	0.0517727	+	0.106826i
$621$	12.3328			0.494897
$622$	16.3247	+	32.0390i	0.654561	+	1.28465i
$623$	−15.5707	−	7.93367i	−0.623827	−	0.317856i
$624$	−32.0288	+	44.0839i	−1.28218	+	1.76477i
$625$	23.3549	−	8.91897i	0.934197	−	0.356759i
$626$		−	20.4440i		−	0.817105i
$627$	−31.1572	+	4.93482i	−1.24430	+	0.197078i
$628$	4.16552	+	0.659754i	0.166223	+	0.0263271i
$629$	−12.3290	−	16.9694i	−0.491589	−	0.676615i
$630$	20.6966	+	4.69254i	0.824573	+	0.186955i
$631$	8.32790	−	11.4624i	0.331529	−	0.456310i	−0.610415	−	0.792082i	$-0.708997\pi$
$631$	8.32790	−	11.4624i	0.331529	−	0.456310i	0.941943	+	0.335772i	$0.108997\pi$
$632$	−4.60047	+	2.34406i	−0.182997	+	0.0932415i
$633$	14.7287	+	7.50466i	0.585415	+	0.298284i
$634$	−15.4607	−	21.2798i	−0.614022	−	0.845129i
$635$	−35.6552	−	14.2428i	−1.41493	−	0.565208i
$636$	−2.70864	−	8.33633i	−0.107404	−	0.330557i
$637$	19.8340	+	3.14140i	0.785853	+	0.124467i
$638$	11.6520	−	22.8683i	0.461307	−	0.905366i
$639$	1.51775	+	0.493146i	0.0600411	+	0.0195085i
$640$	27.9631	−	7.08890i	1.10534	−	0.280214i
$641$	3.57721	+	1.16230i	0.141291	+	0.0459083i	0.378809	−	0.925475i	$-0.376334\pi$
$641$	3.57721	+	1.16230i	0.141291	+	0.0459083i	−0.237518	+	0.971383i	$0.576334\pi$
$642$	−61.1644	−	9.68749i	−2.41397	−	0.382335i
$643$	0.0717041	−	0.452722i	0.00282773	−	0.0178536i	−0.986234	−	0.165355i	$-0.947123\pi$
$643$	0.0717041	−	0.452722i	0.00282773	−	0.0178536i	0.989062	+	0.147501i	$0.0471231\pi$
$644$	−1.80927	−	1.31451i	−0.0712953	−	0.0517991i
$645$	−37.9260	+	3.46844i	−1.49334	+	0.136570i
$646$		−	13.0237i		−	0.512412i
$647$	−3.45711	−	21.8273i	−0.135913	−	0.858122i	−0.957583	−	0.288158i	$-0.906957\pi$
$647$	−3.45711	−	21.8273i	−0.135913	−	0.858122i	0.821670	−	0.569964i	$-0.193043\pi$
$648$	6.96768	−	13.6748i	0.273716	−	0.537199i
$649$	3.44723	−	10.6095i	0.135316	−	0.416458i
$650$	6.40169	+	34.7073i	0.251095	+	1.36133i
$651$	−15.0495	−	18.8309i	−0.589837	−	0.738041i
$652$	1.44579	−	1.44579i	0.0566216	−	0.0566216i
$653$	10.0709	−	5.13139i	0.394105	−	0.200807i	−0.245696	−	0.969347i	$-0.579017\pi$
$653$	10.0709	−	5.13139i	0.394105	−	0.200807i	0.639801	+	0.768540i	$0.279017\pi$
$654$	22.2123	+	68.3625i	0.868571	+	2.67319i
$655$	8.39215	−	14.0921i	0.327908	−	0.550624i
$656$	−6.62514			−0.258668
$657$	3.65904	+	3.65904i	0.142753	+	0.142753i
$658$	−0.409257	−	2.58395i	−0.0159545	−	0.100733i
$659$	−14.0951	−	19.4002i	−0.549065	−	0.755723i	0.440820	−	0.897596i	$-0.354688\pi$
$659$	−14.0951	−	19.4002i	−0.549065	−	0.755723i	−0.989885	+	0.141872i	$0.954688\pi$
$660$	−5.48525	−	0.361896i	−0.213513	−	0.0140868i
$661$	12.6685	−	38.9897i	0.492748	−	1.51652i	−0.327690	−	0.944785i	$-0.606270\pi$
$661$	12.6685	−	38.9897i	0.492748	−	1.51652i	0.820437	−	0.571736i	$-0.193730\pi$
$662$	−0.198562	−	1.25367i	−0.00771734	−	0.0487254i
$663$	−16.0013	−	31.4043i	−0.621438	−	1.21964i
$664$	1.55396	+	4.78261i	0.0603055	+	0.185601i
$665$	0.742958	−	11.2610i	0.0288107	−	0.436684i
$666$	−39.9876	+	12.9928i	−1.54949	+	0.503460i
$667$	21.9396	+	11.1788i	0.849506	+	0.432845i
$668$	−0.101450	+	0.640531i	−0.00392523	+	0.0247829i
$669$	−17.1544	+	5.57379i	−0.663226	+	0.215495i
$670$	−5.99819	+	26.4553i	−0.231730	+	1.02206i
$671$	46.4426	+	33.7425i	1.79290	+	1.30262i
$672$	5.15468	−	2.62644i	0.198846	−	0.101317i
$673$	−4.61183	+	29.1180i	−0.177773	+	1.12241i	0.723871	+	0.689935i	$0.242361\pi$
$673$	−4.61183	+	29.1180i	−0.177773	+	1.12241i	−0.901644	+	0.432479i	$0.857639\pi$
$674$	24.3220	−	17.6710i	0.936849	−	0.680660i
$675$	3.61138	+	10.2262i	0.139002	+	0.393607i
$676$	−2.20043			−0.0846320
$677$	−7.75507	−	7.75507i	−0.298052	−	0.298052i	0.542199	−	0.840250i	$-0.317592\pi$
$677$	−7.75507	−	7.75507i	−0.298052	−	0.298052i	−0.840250	+	0.542199i	$0.817592\pi$
$678$	19.0854	−	3.02283i	0.732971	−	0.116091i
$679$	21.1201	−	6.86235i	0.810516	−	0.263353i
$680$	−3.72553	+	16.4316i	−0.142868	+	0.630123i
$681$			27.4980i			1.05372i
$682$	24.3794	+	22.2368i	0.933536	+	0.851492i
$683$	20.0874	+	20.0874i	0.768623	+	0.768623i	0.977864	−	0.209241i	$-0.0670993\pi$
$683$	20.0874	+	20.0874i	0.768623	+	0.768623i	−0.209241	+	0.977864i	$0.567099\pi$
$684$	−2.63466	−	0.856053i	−0.100739	−	0.0327320i
$685$	41.4097	+	16.5415i	1.58219	+	0.632018i
$686$	−22.5646	−	16.3942i	−0.861521	−	0.625932i
$687$	−27.7728	+	27.7728i	−1.05960	+	1.05960i
$688$	−20.3615	+	20.3615i	−0.776274	+	0.776274i
$689$	−39.1831	+	53.9309i	−1.49276	+	2.05460i
$690$	3.27194	−	49.5929i	0.124561	−	1.88797i
$691$	12.7145	−	9.23760i	0.483681	−	0.351415i	−0.319068	−	0.947732i	$-0.603370\pi$
$691$	12.7145	−	9.23760i	0.483681	−	0.351415i	0.802749	+	0.596317i	$0.203370\pi$
$692$	−1.82774	−	3.58715i	−0.0694803	−	0.136363i
$693$	24.8297	−	3.93264i	0.943203	−	0.149389i
$694$	5.32133	−	16.3774i	0.201995	−	0.621676i
$695$	−15.8289	+	6.79256i	−0.600425	+	0.257656i
$696$	−24.1403	+	17.5390i	−0.915036	+	0.664813i
$697$	1.94548	−	3.81822i	0.0736904	−	0.144625i
$698$	−7.00937	+	13.7567i	−0.265309	+	0.520698i
$699$	−31.8750	+	23.1585i	−1.20562	+	0.875937i
$700$	0.560176	−	1.88516i	0.0211727	−	0.0712523i
$701$	−13.8115	+	42.5075i	−0.521654	+	1.60548i	0.249186	+	0.968456i	$0.419837\pi$
$701$	−13.8115	+	42.5075i	−0.521654	+	1.60548i	−0.770840	+	0.637029i	$0.780163\pi$
$702$	−15.1217	+	2.39504i	−0.570732	+	0.0903950i
$703$	10.1508	+	19.9222i	0.382846	+	0.751378i
$704$	21.9193	−	15.9253i	0.826115	−	0.600207i
$705$	4.64025	−	4.06585i	0.174762	−	0.153129i
$706$	−28.4171	+	39.1128i	−1.06949	+	1.47203i
$707$	−0.938081	+	0.938081i	−0.0352802	+	0.0352802i
$708$	1.23531	−	1.23531i	0.0464258	−	0.0464258i
$709$	20.6621	+	15.0119i	0.775983	+	0.563785i	0.903771	−	0.428017i	$-0.140788\pi$
$709$	20.6621	+	15.0119i	0.775983	+	0.563785i	−0.127788	+	0.991802i	$0.540788\pi$
$710$	0.516989	−	1.29422i	0.0194023	−	0.0485714i
$711$	−7.13344	−	2.31780i	−0.267525	−	0.0869242i
$712$	−19.6654	−	19.6654i	−0.736992	−	0.736992i
$713$	−21.3338	+	23.3893i	−0.798956	+	0.875938i
$714$			18.5085i			0.692665i
$715$	22.2937	+	35.3672i	0.833738	+	1.32266i
$716$	0.0752639	−	0.0244547i	0.00281274	−	0.000913915i
$717$	16.8758	−	2.67287i	0.630239	−	0.0998201i
$718$	−25.0059	−	25.0059i	−0.933212	−	0.933212i
$719$	10.9824			0.409574			0.204787	−	0.978807i	$-0.434350\pi$
$719$	10.9824			0.409574			0.204787	+	0.978807i	$0.434350\pi$
$720$	32.5116	+	19.3614i	1.21164	+	0.721555i
$721$	7.63066	−	5.54400i	0.284181	−	0.206469i
$722$	2.27413	−	14.3583i	0.0846343	−	0.534360i
$723$	27.3659	−	13.9436i	1.01775	−	0.518569i
$724$	2.56859	+	1.86619i	0.0954609	+	0.0693564i
$725$	−2.84482	+	21.4656i	−0.105654	+	0.797212i
$726$	−17.4673	+	5.67548i	−0.648273	+	0.210637i
$727$	−3.52597	+	22.2621i	−0.130771	+	0.825656i	0.831889	+	0.554942i	$0.187260\pi$
$727$	−3.52597	+	22.2621i	−0.130771	+	0.825656i	−0.962660	+	0.270714i	$0.912740\pi$
$728$	−18.3644	−	9.35712i	−0.680629	−	0.346798i
$729$	37.3775	−	12.1447i	1.38435	−	0.449804i
$730$	3.39888	−	2.97815i	0.125798	−	0.110226i
$731$	−5.75562	−	17.7140i	−0.212879	−	0.655175i
$732$	4.08140	+	8.01020i	0.150853	+	0.296065i
$733$	−0.989202	−	6.24558i	−0.0365370	−	0.230686i	0.962662	−	0.270707i	$-0.0872574\pi$
$733$	−0.989202	−	6.24558i	−0.0365370	−	0.230686i	−0.999199	+	0.0400213i	$0.987257\pi$
$734$	−5.28546	+	16.2670i	−0.195090	+	0.600424i
$735$	1.63715	−	24.8142i	0.0603871	−	0.915287i
$736$	−4.46573	−	6.14655i	−0.164609	−	0.226565i
$737$	5.02686	+	31.7383i	0.185167	+	1.16910i
$738$	−6.07401	−	6.07401i	−0.223588	−	0.223588i
$739$	30.6955			1.12915			0.564576	−	0.825381i	$-0.309040\pi$
$739$	30.6955			1.12915			0.564576	+	0.825381i	$0.309040\pi$
$740$	0.957469	+	3.77686i	0.0351973	+	0.138840i
$741$	11.6101	+	35.7323i	0.426508	+	1.31266i
$742$	31.1908	−	15.8925i	1.14505	−	0.583432i
$743$	32.6394	−	32.6394i	1.19742	−	1.19742i	0.222486	−	0.974936i	$-0.428583\pi$
$743$	32.6394	−	32.6394i	1.19742	−	1.19742i	0.974936	−	0.222486i	$-0.0714171\pi$
$744$	−13.5175	−	35.9026i	−0.495575	−	1.31625i
$745$	−1.97607	+	0.180717i	−0.0723977	+	0.00662097i
$746$	13.9671	−	42.9862i	0.511370	−	1.57384i
$747$	−3.31648	+	6.50895i	−0.121343	+	0.238150i
$748$	−0.420568	−	2.65536i	−0.0153775	−	0.0970895i
$749$		−	26.2439i		−	0.958930i
$750$	42.0801	−	11.8091i	1.53655	−	0.431208i
$751$	29.6988	+	21.5774i	1.08372	+	0.787372i	0.978329	−	0.207058i	$-0.0663889\pi$
$751$	29.6988	+	21.5774i	1.08372	+	0.787372i	0.105396	+	0.994430i	$0.466389\pi$
$752$	0.729731	−	4.60734i	0.0266105	−	0.168012i
$753$	57.7108	+	9.14049i	2.10310	+	0.333098i
$754$	−29.0720	−	9.44607i	−1.05874	−	0.344006i
$755$	23.7814	+	14.1623i	0.865493	+	0.515419i
$756$	0.811380	+	0.263633i	0.0295096	+	0.00958825i
$757$	0.334718	−	0.656921i	0.0121655	−	0.0238762i	−0.884844	−	0.465888i	$-0.845735\pi$
$757$	0.334718	−	0.656921i	0.0121655	−	0.0238762i	0.897009	+	0.442012i	$0.145735\pi$
$758$	−11.0974	−	1.75765i	−0.403074	−	0.0638407i
$759$	−18.1933	−	55.9932i	−0.660375	−	2.03243i
$760$	6.66248	−	16.6787i	0.241673	−	0.605002i
$761$	−18.5579	−	25.5428i	−0.672724	−	0.925926i	0.327094	−	0.944992i	$-0.393931\pi$
$761$	−18.5579	−	25.5428i	−0.672724	−	0.925926i	−0.999818	+	0.0190662i	$0.993931\pi$
$762$	−59.8067	−	30.4730i	−2.16657	−	1.10392i
$763$	−27.1420	+	13.8295i	−0.982606	+	0.500663i
$764$	1.38450	−	1.90560i	0.0500895	−	0.0689423i
$765$	−20.7055	+	13.0517i	−0.748608	+	0.471886i
$766$	−10.8968	−	14.9981i	−0.393716	−	0.541904i
$767$	−13.1227	−	2.07843i	−0.473833	−	0.0750477i
$768$	14.5092	−	2.29802i	0.523554	−	0.0829228i
$769$		−	13.1990i		−	0.475969i	−0.971269	−	0.237984i	$-0.923513\pi$
$769$		−	13.1990i		−	0.475969i	0.971269	−	0.237984i	$-0.0764867\pi$
$770$	−1.99942	−	21.8629i	−0.0720542	−	0.787885i
$771$	11.2505	−	15.4850i	0.405176	−	0.557677i
$772$	−0.838877	−	0.427429i	−0.0301918	−	0.0153835i
$773$	−1.31918	−	2.58903i	−0.0474476	−	0.0931211i	0.866065	−	0.499931i	$-0.166641\pi$
$773$	−1.31918	−	2.58903i	−0.0474476	−	0.0931211i	−0.913513	+	0.406810i	$0.866641\pi$
$774$	−37.3353			−1.34199
$775$	−25.6414	−	10.8407i	−0.921065	−	0.389410i
$776$	35.3412			1.26867
$777$	−14.4258	−	28.3122i	−0.517522	−	1.01569i
$778$	−11.5413	−	5.88057i	−0.413775	−	0.210829i
$779$	−2.68501	+	3.69560i	−0.0962004	+	0.132408i
$780$	0.596270	+	6.51998i	0.0213499	+	0.233453i
$781$		−	1.65091i		−	0.0590743i
$782$	24.0074	−	3.80240i	0.858504	−	0.135974i
$783$	−9.27768	−	1.46944i	−0.331557	−	0.0525135i
$784$	−11.0520	−	15.2118i	−0.394715	−	0.543278i
$785$	−33.6019	+	21.1810i	−1.19930	+	0.755981i
$786$	16.8541	−	23.1977i	0.601166	−	0.827434i
$787$	−8.26465	+	4.21105i	−0.294603	+	0.150108i	−0.595045	−	0.803692i	$-0.702866\pi$
$787$	−8.26465	+	4.21105i	−0.294603	+	0.150108i	0.300442	+	0.953800i	$0.402866\pi$
$788$	−1.13149	−	0.576522i	−0.0403076	−	0.0205377i
$789$	−14.6063	−	20.1039i	−0.519999	−	0.715717i
$790$	−2.42986	+	6.08289i	−0.0864507	+	0.216419i
$791$	2.53054	+	7.78819i	0.0899756	+	0.276916i
$792$	39.5150	+	6.25856i	1.40411	+	0.222388i
$793$	31.0400	−	60.9193i	1.10226	−	2.16331i
$794$	−16.1799	−	5.25718i	−0.574205	−	0.186570i
$795$	70.9285	+	42.2394i	2.51557	+	1.49808i
$796$	−5.34261	−	1.73592i	−0.189364	−	0.0615281i
$797$	25.2085	+	3.99264i	0.892933	+	0.141427i	0.586006	−	0.810307i	$-0.300699\pi$
$797$	25.2085	+	3.99264i	0.892933	+	0.141427i	0.306926	+	0.951733i	$0.400699\pi$
$798$	3.08639	−	19.4867i	0.109257	−	0.689823i
$799$	2.44103	+	1.77351i	0.0863574	+	0.0627423i
$800$	3.78897	−	5.50283i	0.133960	−	0.194554i
$801$		−	40.4008i		−	1.42749i
$802$	−4.41052	−	27.8469i	−0.155741	−	0.983309i
$803$	2.43030	−	4.76974i	0.0857636	−	0.168320i
$804$	−1.55507	+	4.78601i	−0.0548431	+	0.168790i
$805$	20.9750	−	1.91822i	0.739273	−	0.0676085i
$806$	21.6160	−	32.8217i	0.761390	−	1.15609i
$807$	−36.2291	+	36.2291i	−1.27532	+	1.27532i
$808$	−1.88116	+	0.958501i	−0.0661791	+	0.0337200i
$809$	−9.82539	−	30.2394i	−0.345442	−	1.06316i	−0.961347	−	0.275341i	$-0.911209\pi$
$809$	−9.82539	−	30.2394i	−0.345442	−	1.06316i	0.615904	−	0.787821i	$-0.288791\pi$
$810$	−4.78461	−	18.8735i	−0.168114	−	0.663148i
$811$	−19.0742			−0.669785			−0.334893	−	0.942256i	$-0.608700\pi$
$811$	−19.0742			−0.669785			−0.334893	+	0.942256i	$0.608700\pi$
$812$	1.20446	+	1.20446i	0.0422681	+	0.0422681i
$813$	−0.387288	−	2.44524i	−0.0135828	−	0.0857584i
$814$	25.5664	+	35.1891i	0.896102	+	1.23338i
$815$	−1.26774	+	19.2151i	−0.0444069	+	0.673076i
$816$	−10.1981	+	31.3867i	−0.357007	+	1.09875i
$817$	3.10591	+	19.6099i	0.108662	+	0.686064i
$818$	3.48381	+	6.83736i	0.121809	+	0.239063i
$819$	−9.25229	−	28.4756i	−0.323301	−	0.995019i
$820$	−0.598711	+	0.524599i	−0.0209079	+	0.0183198i
$821$	−0.720698	+	0.234169i	−0.0251525	+	0.00817255i	−0.321566	−	0.946887i	$-0.604209\pi$
$821$	−0.720698	+	0.234169i	−0.0251525	+	0.00817255i	0.296414	+	0.955060i	$0.404209\pi$
$822$	69.4591	+	35.3912i	2.42267	+	1.23441i
$823$	−6.15912	+	38.8871i	−0.214693	+	1.35552i	0.611102	+	0.791552i	$0.290726\pi$
$823$	−6.15912	+	38.8871i	−0.214693	+	1.35552i	−0.825796	+	0.563969i	$0.809274\pi$
$824$	14.2758	−	4.63850i	0.497322	−	0.161590i
$825$	41.1016	−	31.4821i	1.43097	−	1.09607i
$826$	5.64450	+	4.10097i	0.196397	+	0.142691i
$827$	−9.18084	+	4.67787i	−0.319249	+	0.162666i	−0.606270	−	0.795259i	$-0.707335\pi$
$827$	−9.18084	+	4.67787i	−0.319249	+	0.162666i	0.287021	+	0.957924i	$0.407335\pi$
$828$	0.808800	−	5.10656i	0.0281077	−	0.177465i
$829$	−10.7801	+	7.83223i	−0.374410	+	0.272025i	−0.759037	−	0.651047i	$-0.774330\pi$
$829$	−10.7801	+	7.83223i	−0.374410	+	0.272025i	0.384627	+	0.923072i	$0.374330\pi$
$830$	5.48128	+	3.26422i	0.190258	+	0.113303i
$831$	−56.3735			−1.95557
$832$	−22.8176	−	22.8176i	−0.791057	−	0.791057i
$833$	12.0123	−	1.90257i	0.416203	−	0.0659201i
$834$	−28.6390	+	9.30538i	−0.991688	+	0.322219i
$835$	−3.25699	−	5.16695i	−0.112713	−	0.178810i
$836$			2.86583i			0.0991167i
$837$	4.98286	−	11.0008i	0.172233	−	0.380242i
$838$	15.8900	+	15.8900i	0.548909	+	0.548909i
$839$	18.4459	+	5.99342i	0.636822	+	0.206916i	0.609595	−	0.792713i	$-0.291332\pi$
$839$	18.4459	+	5.99342i	0.636822	+	0.206916i	0.0272271	+	0.999629i	$0.491332\pi$
$840$	−9.46831	+	23.7028i	−0.326688	+	0.817826i
$841$	8.28871	+	6.02210i	0.285817	+	0.207659i
$842$	20.9268	−	20.9268i	0.721185	−	0.721185i
$843$	−15.8465	+	15.8465i	−0.545782	+	0.545782i
$844$	0.882702	−	1.21494i	0.0303839	−	0.0418198i
$845$	15.5870	−	13.6576i	0.536209	−	0.469834i
$846$	4.89309	−	3.55504i	0.168228	−	0.122225i
$847$	−3.53359	−	6.93506i	−0.121416	−	0.238291i
$848$	61.6498	−	9.76437i	2.11706	−	0.335310i
$849$	16.1442	−	49.6867i	0.554067	−	1.70524i
$850$	10.1830	+	18.7933i	0.349273	+	0.644605i
$851$	−33.7601	+	24.5281i	−1.15728	+	0.840814i
$852$	0.117375	−	0.230361i	0.00402119	−	0.00789203i
$853$	−16.0379	+	31.4762i	−0.549127	+	1.07772i	0.435028	+	0.900417i	$0.356738\pi$
$853$	−16.0379	+	31.4762i	−0.549127	+	1.07772i	−0.984156	+	0.177307i	$0.943262\pi$
$854$	−29.0467	+	21.1037i	−0.993957	+	0.722152i
$855$	23.9762	−	10.2888i	0.819969	−	0.351868i
$856$	12.9063	−	39.7214i	0.441127	−	1.35765i
$857$	−25.6324	+	4.05978i	−0.875588	+	0.138679i	−0.578021	−	0.816022i	$-0.696175\pi$
$857$	−25.6324	+	4.05978i	−0.875588	+	0.138679i	−0.297566	+	0.954701i	$0.596175\pi$
$858$	33.1815	+	65.1224i	1.13280	+	2.22324i
$859$	−6.82087	+	4.95565i	−0.232725	+	0.169085i	−0.698036	−	0.716063i	$-0.745942\pi$
$859$	−6.82087	+	4.95565i	−0.232725	+	0.169085i	0.465311	+	0.885147i	$0.345942\pi$
$860$	−0.227772	+	3.45234i	−0.00776696	+	0.117724i
$861$	3.81577	−	5.25196i	0.130041	−	0.178986i
$862$	24.3136	−	24.3136i	0.828125	−	0.828125i
$863$	5.81370	−	5.81370i	0.197901	−	0.197901i	−0.601199	−	0.799099i	$-0.705310\pi$
$863$	5.81370	−	5.81370i	0.197901	−	0.197901i	0.799099	+	0.601199i	$0.205310\pi$
$864$	2.34478	+	1.70359i	0.0797712	+	0.0579572i
$865$	35.2116	+	14.0656i	1.19723	+	0.478244i
$866$	−24.5176	−	7.96624i	−0.833141	−	0.270704i
$867$	16.3213	+	16.3213i	0.554299	+	0.554299i
$868$	−1.90355	+	1.08275i	−0.0646106	+	0.0367511i
$869$			7.75934i			0.263217i
$870$	−8.37038	+	36.9179i	−0.283782	+	1.25163i
$871$	36.3987	−	11.8266i	1.23332	−	0.400731i
$872$	−47.8819	+	7.58374i	−1.62148	+	0.256818i
$873$	36.3026	+	36.3026i	1.22866	+	1.22866i
$874$	−25.9103			−0.876429
$875$	7.73266	+	16.8306i	0.261411	+	0.568978i
$876$	0.678227	−	0.492760i	0.0229152	−	0.0166488i
$877$	2.87675	−	18.1631i	0.0971409	−	0.613324i	−0.890305	−	0.455365i	$-0.849509\pi$
$877$	2.87675	−	18.1631i	0.0971409	−	0.613324i	0.987446	−	0.157959i	$-0.0504912\pi$
$878$	−25.6488	+	13.0687i	−0.865606	+	0.441049i
$879$	−33.6886	−	24.4762i	−1.13629	−	0.825562i
$880$	8.65578	−	38.1766i	0.291786	−	1.28693i
$881$	−52.9602	+	17.2078i	−1.78427	+	0.579746i	−0.999213	−	0.0396714i	$-0.987369\pi$
$881$	−52.9602	+	17.2078i	−1.78427	+	0.579746i	−0.785062	+	0.619417i	$0.787369\pi$
$882$	3.81374	−	24.0790i	0.128415	−	0.810782i
$883$	−50.2838	−	25.6209i	−1.69219	−	0.862212i	−0.988413	−	0.151786i	$-0.951497\pi$
$883$	−50.2838	−	25.6209i	−1.69219	−	0.862212i	−0.703773	−	0.710425i	$-0.748503\pi$
$884$	−3.04526	+	0.989466i	−0.102423	+	0.0332793i
$885$	−1.08318	+	16.4177i	−0.0364106	+	0.551875i
$886$	−0.826084	−	2.54242i	−0.0277528	−	0.0854144i
$887$	17.7621	+	34.8600i	0.596392	+	1.17048i	0.970047	+	0.242917i	$0.0781042\pi$
$887$	17.7621	+	34.8600i	0.596392	+	1.17048i	−0.373656	+	0.927568i	$0.621896\pi$
$888$	−7.91071	−	49.9462i	−0.265466	−	1.67609i
$889$	8.79023	−	27.0535i	0.294815	−	0.907347i
$890$	−35.2056	−	2.32272i	−1.18009	−	0.0778579i
$891$	−13.5570	−	18.6596i	−0.454177	−	0.625121i
$892$	0.256337	+	1.61845i	0.00858281	+	0.0541897i
$893$	−2.27430	−	2.27430i	−0.0761064	−	0.0761064i
$894$	−3.46904			−0.116022
$895$	−0.381355	+	0.640372i	−0.0127473	+	0.0214053i
$896$	6.60450	+	20.3266i	0.220641	+	0.679063i
$897$	−62.4778	+	31.8340i	−2.08607	+	1.06291i
$898$	−4.06484	+	4.06484i	−0.135645	+	0.135645i
$899$	18.8358	−	15.0534i	0.628209	−	0.502060i
$900$	4.47115	−	0.824696i	0.149038	−	0.0274899i
$901$	−12.4761	+	38.3975i	−0.415639	+	1.27921i
$902$	−4.03431	+	7.91778i	−0.134328	+	0.263633i
$903$	−4.41393	−	27.8684i	−0.146886	−	0.927404i
$904$			13.0323i			0.433448i
$905$	−29.7779	+	2.72327i	−0.989850	+	0.0905244i
$906$	39.1476	+	28.4424i	1.30059	+	0.944936i
$907$	−8.21153	+	51.8455i	−0.272659	+	1.72150i	0.348062	+	0.937472i	$0.386840\pi$
$907$	−8.21153	+	51.8455i	−0.272659	+	1.72150i	−0.620721	+	0.784032i	$0.713160\pi$
$908$	2.46735	+	0.390790i	0.0818820	+	0.0129688i
$909$	−2.91692	−	0.947764i	−0.0967480	−	0.0314353i
$910$	−25.3458	+	6.42540i	−0.840206	+	0.213000i
$911$	19.5593	+	6.35520i	0.648028	+	0.210557i	0.614545	−	0.788882i	$-0.289340\pi$
$911$	19.5593	+	6.35520i	0.648028	+	0.210557i	0.0334838	+	0.999439i	$0.489340\pi$
$912$	15.9710	−	31.3449i	0.528853	−	1.03793i
$913$	7.46417	+	1.18221i	0.247028	+	0.0391254i
$914$	−1.99927	−	6.15314i	−0.0661301	−	0.203528i
$915$	−78.6284	−	31.4088i	−2.59937	−	1.03834i
$916$	2.09732	+	2.88671i	0.0692974	+	0.0953797i
$917$	10.8272	+	5.51674i	0.357546	+	0.182179i
$918$	−8.26187	+	4.20963i	−0.272682	+	0.138939i
$919$	−23.3708	+	32.1671i	−0.770931	+	1.06110i	0.225294	+	0.974291i	$0.427666\pi$
$919$	−23.3708	+	32.1671i	−0.770931	+	1.06110i	−0.996225	+	0.0868047i	$0.972334\pi$
$920$	32.6901	+	7.41182i	1.07776	+	0.244361i
$921$	20.9883	+	28.8879i	0.691587	+	0.951887i
$922$	15.6166	+	2.47343i	0.514306	+	0.0814581i
$923$	−1.94205	+	0.307590i	−0.0639232	+	0.0101244i
$924$		−	4.07274i		−	0.133983i
$925$	−30.2244	−	20.8110i	−0.993772	−	0.684262i
$926$	−13.9142	+	19.1512i	−0.457249	+	0.629349i
$927$	19.4289	+	9.89950i	0.638128	+	0.325142i
$928$	2.62712	+	5.15602i	0.0862395	+	0.169255i
$929$	−22.1061			−0.725278			−0.362639	−	0.931930i	$-0.618124\pi$
$929$	−22.1061			−0.725278			−0.362639	+	0.931930i	$0.618124\pi$
$930$	−42.9146	−	22.9558i	−1.40723	−	0.752749i
$931$	−12.9645			−0.424893
$932$	1.62499	+	3.18922i	0.0532283	+	0.104466i
$933$	−55.9776	−	28.5220i	−1.83263	−	0.933769i
$934$	29.8050	−	41.0230i	0.975249	−	1.34231i
$935$	19.4603	+	16.1992i	0.636420	+	0.529769i
$936$		−	47.6494i		−	1.55747i
$937$	−11.4178	+	1.80841i	−0.373004	+	0.0590781i	−0.340122	−	0.940381i	$-0.610469\pi$
$937$	−11.4178	+	1.80841i	−0.373004	+	0.0590781i	−0.0328819	+	0.999459i	$0.510469\pi$
$938$	−19.8502	−	3.14396i	−0.648131	−	0.102654i
$939$	20.9951	+	28.8973i	0.685150	+	0.943029i
$940$	−0.298878	−	0.474145i	−0.00974832	−	0.0154649i
$941$	−6.96427	+	9.58550i	−0.227029	+	0.312478i	−0.907301	−	0.420481i	$-0.861861\pi$
$941$	−6.96427	+	9.58550i	−0.227029	+	0.312478i	0.680273	+	0.732959i	$0.261861\pi$
$942$	−61.8719	+	31.5253i	−2.01590	+	1.02715i
$943$	−7.59623	−	3.87047i	−0.247367	−	0.126040i
$944$	7.31228	+	10.0645i	0.237994	+	0.327571i
$945$	−7.38380	+	3.16856i	−0.240195	+	0.103073i
$946$	11.9353	+	36.7331i	0.388051	+	1.19430i
$947$	−40.9637	−	6.48801i	−1.33114	−	0.210832i	−0.549988	−	0.835172i	$-0.685368\pi$
$947$	−40.9637	−	6.48801i	−1.33114	−	0.210832i	−0.781153	+	0.624340i	$0.785368\pi$
$948$	−0.551664	+	1.08270i	−0.0179172	+	0.0351645i
$949$	−6.06367	−	1.97021i	−0.196835	−	0.0639556i
$950$	−7.58726	−	21.4846i	−0.246163	−	0.697052i
$951$	43.7071	+	14.2013i	1.41730	+	0.460508i
$952$	−12.3291	−	1.95274i	−0.399589	−	0.0632886i
$953$	−2.59919	+	16.4106i	−0.0841960	+	0.531593i	0.909154	+	0.416460i	$0.136729\pi$
$953$	−2.59919	+	16.4106i	−0.0841960	+	0.531593i	−0.993350	+	0.115133i	$0.963271\pi$
$954$	65.4734	+	47.5692i	2.11978	+	1.54011i
$955$	2.02035	+	22.0918i	0.0653771	+	0.714874i
$956$		−	1.55223i		−	0.0502027i
$957$	7.01489	+	44.2903i	0.226759	+	1.43170i
$958$	−22.9704	+	45.0820i	−0.742141	+	1.45653i
$959$	−10.2089	+	31.4198i	−0.329663	+	1.01460i
$960$	−25.5659	+	30.7127i	−0.825136	+	0.991249i
$961$	12.2436	+	28.4797i	0.394955	+	0.918701i
$962$	36.6312	−	36.6312i	1.18104	−	1.18104i
$963$	54.0594	−	27.5446i	1.74204	−	0.887613i
$964$	−0.862229	−	2.65367i	−0.0277705	−	0.0854688i
$965$	8.59522	−	2.17897i	0.276690	−	0.0701434i
$966$	36.8222			1.18473
$967$	−1.14402	−	1.14402i	−0.0367892	−	0.0367892i	0.688473	−	0.725262i	$-0.258281\pi$
$967$	−1.14402	−	1.14402i	−0.0367892	−	0.0367892i	−0.725262	+	0.688473i	$0.758281\pi$
$968$	−1.93772	−	12.2343i	−0.0622808	−	0.393226i
$969$	13.3749	+	18.4089i	0.429663	+	0.591380i
$970$	33.7215	−	29.5473i	1.08273	−	0.948705i
$971$	−5.90812	+	18.1833i	−0.189601	+	0.583531i	−0.999997	−	0.00235098i	$-0.999252\pi$
$971$	−5.90812	+	18.1833i	−0.189601	+	0.583531i	0.810397	+	0.585882i	$0.199252\pi$
$972$	−0.806721	−	5.09344i	−0.0258756	−	0.163372i
$973$	−5.79359	−	11.3706i	−0.185734	−	0.364523i
$974$	15.7575	+	48.4965i	0.504902	+	1.55393i
$975$	−44.6917	−	42.4841i	−1.43128	−	1.36058i
$976$	−60.8852	+	19.7828i	−1.94889	+	0.633232i
$977$	20.7445	+	10.5698i	0.663675	+	0.338159i	0.753168	−	0.657828i	$-0.228525\pi$
$977$	20.7445	+	10.5698i	0.663675	+	0.338159i	−0.0894933	+	0.995987i	$0.528525\pi$
$978$	−5.26643	+	33.2510i	−0.168402	+	1.06325i
$979$	−39.7491	+	12.9153i	−1.27039	+	0.412774i
$980$	−2.20328	−	0.499549i	−0.0703812	−	0.0159575i
$981$	−56.9745	−	41.3944i	−1.81906	−	1.32162i
$982$	−31.7731	+	16.1892i	−1.01392	+	0.516618i
$983$	7.83953	−	49.4969i	0.250042	−	1.57870i	−0.468655	−	0.883381i	$-0.655261\pi$
$983$	7.83953	−	49.4969i	0.250042	−	1.57870i	0.718697	−	0.695323i	$-0.244739\pi$
$984$	8.35818	−	6.07257i	0.266449	−	0.193587i
$985$	11.5933	−	2.93902i	0.369395	−	0.0936449i
$986$	−18.5134			−0.589586
$987$	3.23209	+	3.23209i	0.102879	+	0.102879i
$988$	3.37120	−	0.533946i	0.107252	−	0.0169871i
$989$	−35.2414	+	11.4506i	−1.12061	+	0.364108i
$990$	42.9366	−	27.0651i	1.36461	−	0.860186i
$991$			7.76960i			0.246810i	0.992356	+	0.123405i	$0.0393813\pi$
$991$			7.76960i			0.246810i	−0.992356	+	0.123405i	$0.960619\pi$
$992$	−7.28700	+	1.49999i	−0.231363	+	0.0476248i
$993$	1.56814	+	1.56814i	0.0497634	+	0.0497634i
$994$	0.981998	+	0.319071i	0.0311471	+	0.0101203i
$995$	48.6194	−	20.8637i	1.54134	−	0.661425i
$996$	0.957464	+	0.695639i	0.0303384	+	0.0220422i
$997$	3.34669	−	3.34669i	0.105991	−	0.105991i	−0.652123	−	0.758113i	$-0.726121\pi$
$997$	3.34669	−	3.34669i	0.105991	−	0.105991i	0.758113	+	0.652123i	$0.226121\pi$
$998$	4.23836	−	4.23836i	0.134163	−	0.134163i
$999$	9.35699	−	12.8788i	0.296042	−	0.407467i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	155.2.r.a.23.11	✓	112
5.2	odd	4	inner	155.2.r.a.147.4	yes	112
5.3	odd	4		775.2.bs.b.457.11		112
5.4	even	2		775.2.bs.b.643.4		112
31.27	odd	10	inner	155.2.r.a.58.4	yes	112
155.27	even	20	inner	155.2.r.a.27.11	yes	112
155.58	even	20		775.2.bs.b.182.4		112
155.89	odd	10		775.2.bs.b.368.11		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
155.2.r.a.23.11	✓	112	1.1	even	1	trivial
155.2.r.a.27.11	yes	112	155.27	even	20	inner
155.2.r.a.58.4	yes	112	31.27	odd	10	inner
155.2.r.a.147.4	yes	112	5.2	odd	4	inner
775.2.bs.b.182.4		112	155.58	even	20
775.2.bs.b.368.11		112	155.89	odd	10
775.2.bs.b.457.11		112	5.3	odd	4
775.2.bs.b.643.4		112	5.4	even	2

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.r (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.679080 + 1.33277i) q^{2} +(-2.32857 - 1.18647i) q^{3} +(-0.139553 + 0.192078i) q^{4} +(-0.203645 - 2.22678i) q^{5} -3.90916i q^{6} +(1.63626 - 0.259158i) q^{7} +(2.60401 + 0.412434i) q^{8} +(2.25119 + 3.09850i) q^{9} +O(q^{10})\)	\(q+(0.679080 + 1.33277i) q^{2} +(-2.32857 - 1.18647i) q^{3} +(-0.139553 + 0.192078i) q^{4} +(-0.203645 - 2.22678i) q^{5} -3.90916i q^{6} +(1.63626 - 0.259158i) q^{7} +(2.60401 + 0.412434i) q^{8} +(2.25119 + 3.09850i) q^{9} +(2.82949 - 1.78357i) q^{10} +(2.32887 - 3.20541i) q^{11} +(0.552853 - 0.281693i) q^{12} +(-4.20457 - 2.14234i) q^{13} +(1.45655 + 2.00476i) q^{14} +(-2.16779 + 5.42683i) q^{15} +(1.36538 + 4.20222i) q^{16} +(-2.82278 - 0.447085i) q^{17} +(-2.60085 + 5.10445i) q^{18} +(2.89741 + 0.941427i) q^{19} +(0.456134 + 0.271637i) q^{20} +(-4.11763 - 1.33790i) q^{21} +(5.85355 + 0.927112i) q^{22} +(-0.889461 + 5.61584i) q^{23} +(-5.57428 - 4.04995i) q^{24} +(-4.91706 + 0.906942i) q^{25} -7.05854i q^{26} +(-0.339311 - 2.14233i) q^{27} +(-0.178566 + 0.350455i) q^{28} +(1.33825 - 4.11870i) q^{29} +(-8.70481 + 0.796079i) q^{30} +(4.64992 + 3.06238i) q^{31} +(-0.944854 + 0.944854i) q^{32} +(-9.22605 + 4.70091i) q^{33} +(-1.32103 - 4.06572i) q^{34} +(-0.910302 - 3.59080i) q^{35} -0.909315 q^{36} +(5.18963 + 5.18963i) q^{37} +(0.712870 + 4.50088i) q^{38} +(7.24884 + 9.97718i) q^{39} +(0.388106 - 5.88253i) q^{40} +(-0.463346 + 1.42603i) q^{41} +(-1.01309 - 6.39639i) q^{42} +(2.95868 + 5.80674i) q^{43} +(0.290689 + 0.894648i) q^{44} +(6.44122 - 5.64390i) q^{45} +(-8.08862 + 2.62815i) q^{46} +(-0.940673 - 0.479297i) q^{47} +(1.80640 - 11.4052i) q^{48} +(-4.04722 + 1.31502i) q^{49} +(-4.54782 - 5.93741i) q^{50} +(6.04261 + 4.39021i) q^{51} +(0.998256 - 0.508637i) q^{52} +(2.20990 - 13.9527i) q^{53} +(2.62481 - 1.90703i) q^{54} +(-7.61199 - 4.53310i) q^{55} +4.36771 q^{56} +(-5.62987 - 5.62987i) q^{57} +(6.39805 - 1.01335i) q^{58} +(2.67774 - 0.870050i) q^{59} +(-0.739852 - 1.17372i) q^{60} +14.4888i q^{61} +(-0.923781 + 8.27688i) q^{62} +(4.48653 + 4.48653i) q^{63} +(6.50354 + 2.11313i) q^{64} +(-3.91426 + 9.79892i) q^{65} +(-12.5304 - 9.10390i) q^{66} +(-5.73487 + 5.73487i) q^{67} +(0.479803 - 0.479803i) q^{68} +(8.73418 - 12.0216i) q^{69} +(4.16754 - 3.65166i) q^{70} +(0.337098 - 0.244916i) q^{71} +(4.58420 + 8.99699i) q^{72} +(1.33447 - 0.211359i) q^{73} +(-3.39241 + 10.4407i) q^{74} +(12.5258 + 3.72205i) q^{75} +(-0.585170 + 0.425151i) q^{76} +(2.97992 - 5.84842i) q^{77} +(-8.37473 + 16.4363i) q^{78} +(-1.58437 + 1.15111i) q^{79} +(9.07934 - 3.89616i) q^{80} +(1.79888 - 5.53638i) q^{81} +(-2.21522 + 0.350856i) q^{82} +(0.865930 + 1.69948i) q^{83} +(0.831608 - 0.604198i) q^{84} +(-0.420713 + 6.37675i) q^{85} +(-5.72987 + 7.88648i) q^{86} +(-8.00291 + 8.00291i) q^{87} +(7.38641 - 7.38641i) q^{88} +(-8.53401 - 6.20032i) q^{89} +(11.8961 + 4.75201i) q^{90} +(-7.43497 - 2.41577i) q^{91} +(-0.954552 - 0.954552i) q^{92} +(-7.19427 - 12.6480i) q^{93} -1.57918i q^{94} +(1.50630 - 6.64360i) q^{95} +(3.32120 - 1.07912i) q^{96} +(13.2397 - 2.09696i) q^{97} +(-4.50100 - 4.50100i) q^{98} +15.1747 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 6 q^{2} - 10 q^{3} - 16 q^{5} - 18 q^{7} - 20 q^{8}+O(q^{10}) \) 112 * q - 6 * q^2 - 10 * q^3 - 16 * q^5 - 18 * q^7 - 20 * q^8	\( 112 q - 6 q^{2} - 10 q^{3} - 16 q^{5} - 18 q^{7} - 20 q^{8} - 14 q^{10} - 20 q^{11} + 10 q^{12} - 10 q^{13} - 10 q^{15} - 12 q^{16} - 10 q^{17} + 4 q^{18} - 28 q^{20} + 20 q^{21} + 60 q^{22} - 44 q^{25} - 40 q^{27} - 48 q^{28} - 4 q^{31} + 44 q^{32} - 26 q^{33} + 18 q^{35} - 64 q^{36} - 32 q^{38} - 14 q^{40} - 16 q^{41} + 70 q^{42} - 10 q^{43} - 8 q^{45} - 60 q^{46} + 46 q^{47} + 150 q^{48} + 76 q^{50} + 12 q^{51} - 80 q^{52} + 10 q^{53} - 20 q^{55} - 24 q^{56} - 10 q^{58} + 160 q^{60} - 54 q^{62} - 200 q^{63} + 100 q^{65} - 52 q^{66} - 68 q^{67} + 140 q^{70} + 8 q^{71} - 18 q^{72} + 30 q^{73} + 100 q^{75} - 128 q^{76} - 30 q^{77} + 36 q^{78} - 118 q^{80} + 64 q^{81} - 44 q^{82} + 160 q^{83} - 90 q^{85} - 20 q^{86} + 88 q^{90} - 60 q^{91} + 10 q^{93} + 44 q^{95} + 92 q^{97} + 144 q^{98}+O(q^{100}) \) 112 * q - 6 * q^2 - 10 * q^3 - 16 * q^5 - 18 * q^7 - 20 * q^8 - 14 * q^10 - 20 * q^11 + 10 * q^12 - 10 * q^13 - 10 * q^15 - 12 * q^16 - 10 * q^17 + 4 * q^18 - 28 * q^20 + 20 * q^21 + 60 * q^22 - 44 * q^25 - 40 * q^27 - 48 * q^28 - 4 * q^31 + 44 * q^32 - 26 * q^33 + 18 * q^35 - 64 * q^36 - 32 * q^38 - 14 * q^40 - 16 * q^41 + 70 * q^42 - 10 * q^43 - 8 * q^45 - 60 * q^46 + 46 * q^47 + 150 * q^48 + 76 * q^50 + 12 * q^51 - 80 * q^52 + 10 * q^53 - 20 * q^55 - 24 * q^56 - 10 * q^58 + 160 * q^60 - 54 * q^62 - 200 * q^63 + 100 * q^65 - 52 * q^66 - 68 * q^67 + 140 * q^70 + 8 * q^71 - 18 * q^72 + 30 * q^73 + 100 * q^75 - 128 * q^76 - 30 * q^77 + 36 * q^78 - 118 * q^80 + 64 * q^81 - 44 * q^82 + 160 * q^83 - 90 * q^85 - 20 * q^86 + 88 * q^90 - 60 * q^91 + 10 * q^93 + 44 * q^95 + 92 * q^97 + 144 * q^98

Introduction

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