LMFDB - Embedded newform 99.2.p.a.29.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(2,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 3]))

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

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

chi := DirichletCharacter("99.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			29.7
Character	$\chi$	$=$	99.29
Dual form			99.2.p.a.41.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.471493 - 0.209922i) q^{2} +(1.16254 + 1.28394i) q^{3} +(-1.16002 + 1.28834i) q^{4} +(0.661751 - 1.48632i) q^{5} +(0.817657 + 0.361323i) q^{6} +(0.171735 - 0.807949i) q^{7} +(-0.595467 + 1.83266i) q^{8} +(-0.296983 + 2.98526i) q^{9} -0.839703i q^{10} +(1.10298 - 3.12785i) q^{11} +(-3.00272 + 0.00835187i) q^{12} +(-3.73337 - 0.392393i) q^{13} +(-0.0886346 - 0.416993i) q^{14} +(2.67765 - 0.878262i) q^{15} +(-0.258470 - 2.45917i) q^{16} +(4.49172 - 3.26342i) q^{17} +(0.486647 + 1.46987i) q^{18} +(-6.12609 - 1.99049i) q^{19} +(1.14723 + 2.57672i) q^{20} +(1.23700 - 0.718780i) q^{21} +(-0.136556 - 1.70630i) q^{22} +(-2.38525 + 1.37713i) q^{23} +(-3.04528 + 1.36601i) q^{24} +(1.57443 + 1.74858i) q^{25} +(-1.84263 + 0.598706i) q^{26} +(-4.17814 + 3.08919i) q^{27} +(0.841694 + 1.15849i) q^{28} +(1.18790 + 0.252495i) q^{29} +(1.07813 - 0.976192i) q^{30} +(-0.825513 + 7.85423i) q^{31} +(-2.56507 - 4.44284i) q^{32} +(5.29822 - 2.22010i) q^{33} +(1.43275 - 2.48159i) q^{34} +(-1.08722 - 0.789913i) q^{35} +(-3.50152 - 3.84559i) q^{36} +(-1.00766 - 3.10127i) q^{37} +(-3.30625 + 0.347501i) q^{38} +(-3.83640 - 5.24958i) q^{39} +(2.32986 + 2.09782i) q^{40} +(2.42856 - 0.516206i) q^{41} +(0.432351 - 0.598574i) q^{42} +(6.74220 + 3.89261i) q^{43} +(2.75023 + 5.04939i) q^{44} +(4.24052 + 2.41691i) q^{45} +(-0.835539 + 1.15002i) q^{46} +(-3.90949 + 3.52012i) q^{47} +(2.85694 - 3.19076i) q^{48} +(5.77153 + 2.56965i) q^{49} +(1.10940 + 0.493936i) q^{50} +(9.41184 + 1.97320i) q^{51} +(4.83633 - 4.35465i) q^{52} +(-0.596190 + 0.820584i) q^{53} +(-1.32147 + 2.33362i) q^{54} +(-3.91907 - 3.70924i) q^{55} +(1.37843 + 0.795839i) q^{56} +(-4.56619 - 10.1795i) q^{57} +(0.613089 - 0.130316i) q^{58} +(5.16922 + 4.65438i) q^{59} +(-1.97464 + 4.46852i) q^{60} +(-4.36070 + 0.458328i) q^{61} +(1.25955 + 3.87650i) q^{62} +(2.36094 + 0.752621i) q^{63} +(1.85888 + 1.35056i) q^{64} +(-3.05378 + 5.28930i) q^{65} +(2.03202 - 2.15897i) q^{66} +(1.99842 + 3.46137i) q^{67} +(-1.00611 + 9.57249i) q^{68} +(-4.54110 - 1.46154i) q^{69} +(-0.678437 - 0.144206i) q^{70} +(-8.98474 - 12.3664i) q^{71} +(-5.29413 - 2.32190i) q^{72} +(1.80541 - 0.586612i) q^{73} +(-1.12613 - 1.25069i) q^{74} +(-0.414723 + 4.05427i) q^{75} +(9.67082 - 5.58345i) q^{76} +(-2.33772 - 1.42831i) q^{77} +(-2.91084 - 1.66979i) q^{78} +(1.52314 + 3.42102i) q^{79} +(-3.82615 - 1.24319i) q^{80} +(-8.82360 - 1.77315i) q^{81} +(1.03668 - 0.753195i) q^{82} +(-0.675093 - 6.42308i) q^{83} +(-0.508924 + 2.42748i) q^{84} +(-1.87808 - 8.83568i) q^{85} +(3.99604 + 0.420001i) q^{86} +(1.05679 + 1.81872i) q^{87} +(5.07549 + 3.88392i) q^{88} -7.51980i q^{89} +(2.50674 + 0.249378i) q^{90} +(-0.958184 + 2.94899i) q^{91} +(0.992746 - 4.67050i) q^{92} +(-11.0440 + 8.07098i) q^{93} +(-1.10434 + 2.48040i) q^{94} +(-7.01244 + 7.78810i) q^{95} +(2.72231 - 8.45839i) q^{96} +(-1.21191 + 0.539576i) q^{97} +3.26066 q^{98} +(9.00988 + 4.22161i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.471493	−	0.209922i	0.333396	−	0.148437i	−0.233210	−	0.972426i	$-0.574923\pi$
$2$	0.471493	−	0.209922i	0.333396	−	0.148437i	0.566606	+	0.823989i	$0.308256\pi$
$3$	1.16254	+	1.28394i	0.671195	+	0.741281i
$3$	1.16254	+	1.28394i	0.671195	+	0.741281i
$4$	−1.16002	+	1.28834i	−0.580012	+	0.644168i
$5$	0.661751	−	1.48632i	0.295944	−	0.664701i	−0.702974	−	0.711216i	$-0.748145\pi$
$5$	0.661751	−	1.48632i	0.295944	−	0.664701i	0.998918	+	0.0465149i	$0.0148115\pi$
$6$	0.817657	+	0.361323i	0.333807	+	0.147509i
$7$	0.171735	−	0.807949i	0.0649097	−	0.305376i	−0.933702	−	0.358051i	$-0.883441\pi$
$7$	0.171735	−	0.807949i	0.0649097	−	0.305376i	0.998612	+	0.0526750i	$0.0167747\pi$
$8$	−0.595467	+	1.83266i	−0.210530	+	0.647943i
$9$	−0.296983	+	2.98526i	−0.0989945	+	0.995088i
$10$		−	0.839703i		−	0.265537i
$11$	1.10298	−	3.12785i	0.332562	−	0.943082i
$11$	1.10298	−	3.12785i	0.332562	−	0.943082i
$12$	−3.00272	+	0.00835187i	−0.866810	+	0.00241098i
$13$	−3.73337	−	0.392393i	−1.03545	−	0.108830i	−0.428477	−	0.903552i	$-0.640950\pi$
$13$	−3.73337	−	0.392393i	−1.03545	−	0.108830i	−0.606973	+	0.794722i	$0.707617\pi$
$14$	−0.0886346	−	0.416993i	−0.0236886	−	0.111446i
$15$	2.67765	−	0.878262i	0.691366	−	0.226766i
$16$	−0.258470	−	2.45917i	−0.0646174	−	0.614793i
$17$	4.49172	−	3.26342i	1.08940	−	0.791496i	0.110103	−	0.993920i	$-0.464882\pi$
$17$	4.49172	−	3.26342i	1.08940	−	0.791496i	0.979298	+	0.202424i	$0.0648819\pi$
$18$	0.486647	+	1.46987i	0.114704	+	0.346452i
$19$	−6.12609	−	1.99049i	−1.40542	−	0.456649i	−0.494481	−	0.869188i	$-0.664642\pi$
$19$	−6.12609	−	1.99049i	−1.40542	−	0.456649i	−0.910940	+	0.412539i	$0.864642\pi$
$20$	1.14723	+	2.57672i	0.256528	+	0.576172i
$21$	1.23700	−	0.718780i	0.269936	−	0.156851i
$22$	−0.136556	−	1.70630i	−0.0291139	−	0.363784i
$23$	−2.38525	+	1.37713i	−0.497359	+	0.287150i	−0.727622	−	0.685978i	$-0.759375\pi$
$23$	−2.38525	+	1.37713i	−0.497359	+	0.287150i	0.230263	+	0.973128i	$0.426041\pi$
$24$	−3.04528	+	1.36601i	−0.621614	+	0.278835i
$25$	1.57443	+	1.74858i	0.314886	+	0.349716i
$26$	−1.84263	+	0.598706i	−0.361369	+	0.117416i
$27$	−4.17814	+	3.08919i	−0.804084	+	0.594515i
$28$	0.841694	+	1.15849i	0.159065	+	0.218934i
$29$	1.18790	+	0.252495i	0.220587	+	0.0468872i	0.316879	−	0.948466i	$-0.397365\pi$
$29$	1.18790	+	0.252495i	0.220587	+	0.0468872i	−0.0962923	+	0.995353i	$0.530698\pi$
$30$	1.07813	−	0.976192i	0.196838	−	0.178227i
$31$	−0.825513	+	7.85423i	−0.148267	+	1.41066i	0.626996	+	0.779022i	$0.284284\pi$
$31$	−0.825513	+	7.85423i	−0.148267	+	1.41066i	−0.775263	+	0.631639i	$0.782382\pi$
$32$	−2.56507	−	4.44284i	−0.453445	−	0.785390i
$33$	5.29822	−	2.22010i	0.922302	−	0.386470i
$34$	1.43275	−	2.48159i	0.245714	−	0.425589i
$35$	−1.08722	−	0.789913i	−0.183774	−	0.133520i
$36$	−3.50152	−	3.84559i	−0.583586	−	0.640932i
$37$	−1.00766	−	3.10127i	−0.165659	−	0.509845i	0.833425	−	0.552632i	$-0.186376\pi$
$37$	−1.00766	−	3.10127i	−0.165659	−	0.509845i	−0.999084	+	0.0427867i	$0.986376\pi$
$38$	−3.30625	+	0.347501i	−0.536345	+	0.0563721i
$39$	−3.83640	−	5.24958i	−0.614316	−	0.840606i
$40$	2.32986	+	2.09782i	0.368384	+	0.331694i
$41$	2.42856	−	0.516206i	0.379277	−	0.0806178i	−0.0143282	−	0.999897i	$-0.504561\pi$
$41$	2.42856	−	0.516206i	0.379277	−	0.0806178i	0.393605	+	0.919280i	$0.371228\pi$
$42$	0.432351	−	0.598574i	0.0667131	−	0.0923619i
$43$	6.74220	+	3.89261i	1.02818	+	0.593618i	0.916462	−	0.400123i	$-0.131032\pi$
$43$	6.74220	+	3.89261i	1.02818	+	0.593618i	0.111715	+	0.993740i	$0.464366\pi$
$44$	2.75023	+	5.04939i	0.414613	+	0.761224i
$45$	4.24052	+	2.41691i	0.632139	+	0.360292i
$46$	−0.835539	+	1.15002i	−0.123194	+	0.169561i
$47$	−3.90949	+	3.52012i	−0.570258	+	0.513463i	−0.903049	−	0.429538i	$-0.858676\pi$
$47$	−3.90949	+	3.52012i	−0.570258	+	0.513463i	0.332791	+	0.943001i	$0.392010\pi$
$48$	2.85694	−	3.19076i	0.412364	−	0.460546i
$49$	5.77153	+	2.56965i	0.824504	+	0.367093i
$50$	1.10940	+	0.493936i	0.156893	+	0.0698531i
$51$	9.41184	+	1.97320i	1.31792	+	0.276304i
$52$	4.83633	−	4.35465i	0.670678	−	0.603882i
$53$	−0.596190	+	0.820584i	−0.0818929	+	0.112716i	−0.847998	−	0.529999i	$-0.822192\pi$
$53$	−0.596190	+	0.820584i	−0.0818929	+	0.112716i	0.766105	+	0.642715i	$0.222192\pi$
$54$	−1.32147	+	2.33362i	−0.179830	+	0.317565i
$55$	−3.91907	−	3.70924i	−0.528448	−	0.500153i
$56$	1.37843	+	0.795839i	0.184201	+	0.106348i
$57$	−4.56619	−	10.1795i	−0.604806	−	1.34831i
$58$	0.613089	−	0.130316i	0.0805025	−	0.0171113i
$59$	5.16922	+	4.65438i	0.672975	+	0.605949i	0.933096	−	0.359627i	$-0.117096\pi$
$59$	5.16922	+	4.65438i	0.672975	+	0.605949i	−0.260122	+	0.965576i	$0.583763\pi$
$60$	−1.97464	+	4.46852i	−0.254925	+	0.576883i
$61$	−4.36070	+	0.458328i	−0.558330	+	0.0586828i	−0.379491	−	0.925196i	$-0.623901\pi$
$61$	−4.36070	+	0.458328i	−0.558330	+	0.0586828i	−0.178839	+	0.983878i	$0.557234\pi$
$62$	1.25955	+	3.87650i	0.159963	+	0.492317i
$63$	2.36094	+	0.752621i	0.297450	+	0.0948214i
$64$	1.85888	+	1.35056i	0.232360	+	0.168820i
$65$	−3.05378	+	5.28930i	−0.378775	+	0.656057i
$66$	2.03202	−	2.15897i	0.250125	−	0.265751i
$67$	1.99842	+	3.46137i	0.244146	+	0.422874i	0.961891	−	0.273432i	$-0.0881590\pi$
$67$	1.99842	+	3.46137i	0.244146	+	0.422874i	−0.717745	+	0.696306i	$0.754826\pi$
$68$	−1.00611	+	9.57249i	−0.122009	+	1.16083i
$69$	−4.54110	−	1.46154i	−0.546684	−	0.175949i
$70$	−0.678437	−	0.144206i	−0.0810888	−	0.0172360i
$71$	−8.98474	−	12.3664i	−1.06629	−	1.46762i	−0.873774	−	0.486331i	$-0.838335\pi$
$71$	−8.98474	−	12.3664i	−1.06629	−	1.46762i	−0.192517	−	0.981294i	$-0.561665\pi$
$72$	−5.29413	−	2.32190i	−0.623919	−	0.273638i
$73$	1.80541	−	0.586612i	0.211307	−	0.0686577i	−0.201451	−	0.979499i	$-0.564566\pi$
$73$	1.80541	−	0.586612i	0.211307	−	0.0686577i	0.412758	+	0.910841i	$0.364566\pi$
$74$	−1.12613	−	1.25069i	−0.130910	−	0.145390i
$75$	−0.414723	+	4.05427i	−0.0478881	+	0.468147i
$76$	9.67082	−	5.58345i	1.10932	−	0.640466i
$77$	−2.33772	−	1.42831i	−0.266408	−	0.162771i
$78$	−2.91084	−	1.66979i	−0.329587	−	0.189067i
$79$	1.52314	+	3.42102i	0.171366	+	0.384895i	0.978728	−	0.205162i	$-0.0657720\pi$
$79$	1.52314	+	3.42102i	0.171366	+	0.384895i	−0.807362	+	0.590057i	$0.799105\pi$
$80$	−3.82615	−	1.24319i	−0.427777	−	0.138993i
$81$	−8.82360	−	1.77315i	−0.980400	−	0.197016i
$82$	1.03668	−	0.753195i	0.114483	−	0.0831765i
$83$	−0.675093	−	6.42308i	−0.0741011	−	0.705025i	−0.967002	−	0.254770i	$-0.918000\pi$
$83$	−0.675093	−	6.42308i	−0.0741011	−	0.705025i	0.892900	−	0.450254i	$-0.148667\pi$
$84$	−0.508924	+	2.42748i	−0.0555281	+	0.264860i
$85$	−1.87808	−	8.83568i	−0.203707	−	0.958365i
$86$	3.99604	+	0.420001i	0.430904	+	0.0452899i
$87$	1.05679	+	1.81872i	0.113300	+	0.194987i
$88$	5.07549	+	3.88392i	0.541049	+	0.414028i
$89$		−	7.51980i		−	0.797098i	−0.917147	−	0.398549i	$-0.869514\pi$
$89$		−	7.51980i		−	0.797098i	0.917147	−	0.398549i	$-0.130486\pi$
$90$	2.50674	+	0.249378i	0.264233	+	0.0262867i
$91$	−0.958184	+	2.94899i	−0.100445	+	0.309138i
$92$	0.992746	−	4.67050i	0.103501	−	0.486934i
$93$	−11.0440	+	8.07098i	−1.14521	+	0.836922i
$94$	−1.10434	+	2.48040i	−0.113904	+	0.255834i
$95$	−7.01244	+	7.78810i	−0.719461	+	0.799042i
$96$	2.72231	−	8.45839i	0.277845	−	0.863280i
$97$	−1.21191	+	0.539576i	−0.123051	+	0.0547857i	−0.467338	−	0.884078i	$-0.654787\pi$
$97$	−1.21191	+	0.539576i	−0.123051	+	0.0547857i	0.344288	+	0.938864i	$0.388120\pi$
$98$	3.26066			0.329376
$99$	9.00988	+	4.22161i	0.905527	+	0.424288i
$100$	−4.07914			−0.407914
$101$	−3.18919	+	1.41992i	−0.317336	+	0.141287i	−0.559223	−	0.829017i	$-0.688900\pi$
$101$	−3.18919	+	1.41992i	−0.317336	+	0.141287i	0.241887	+	0.970305i	$0.422234\pi$
$102$	4.85183	−	1.04540i	0.480403	−	0.103510i
$103$	−8.24101	+	9.15257i	−0.812011	+	0.901830i	−0.996717	−	0.0809642i	$-0.974200\pi$
$103$	−8.24101	+	9.15257i	−0.812011	+	0.901830i	0.184706	+	0.982794i	$0.440867\pi$
$104$	2.94222	−	6.60834i	0.288509	−	0.648001i
$105$	−0.249746	−	2.31423i	−0.0243727	−	0.225846i
$106$	−0.108840	+	0.512053i	−0.0105715	+	0.0497350i
$107$	−5.14444	+	15.8329i	−0.497331	+	1.53063i	0.315960	+	0.948772i	$0.397673\pi$
$107$	−5.14444	+	15.8329i	−0.497331	+	1.53063i	−0.813292	+	0.581856i	$0.802327\pi$
$108$	0.866825	−	8.96639i	0.0834103	−	0.862791i
$109$		−	15.2176i		−	1.45758i	−0.684735	−	0.728792i	$-0.740082\pi$
$109$		−	15.2176i		−	1.45758i	0.684735	−	0.728792i	$-0.259918\pi$
$110$	−2.62646	−	0.926178i	−0.250423	−	0.0883076i
$111$	2.81038	−	4.89913i	0.266749	−	0.465005i
$112$	−2.03128	−	0.213496i	−0.191937	−	0.0201734i
$113$	−0.101543	−	0.477723i	−0.00955237	−	0.0449404i	0.973113	−	0.230327i	$-0.0739796\pi$
$113$	−0.101543	−	0.477723i	−0.00955237	−	0.0449404i	−0.982666	+	0.185387i	$0.940646\pi$
$114$	−4.28983	−	3.84103i	−0.401780	−	0.359745i
$115$	0.468402	+	4.45655i	0.0436787	+	0.415576i
$116$	−1.70329	+	1.23751i	−0.158146	+	0.114900i
$117$	2.28015	−	11.0286i	0.210800	−	1.01959i
$118$	3.41430	+	1.10937i	0.314312	+	0.102126i
$119$	−1.86530	−	4.18952i	−0.170991	−	0.384053i
$120$	0.0151038	+	5.43020i	0.00137878	+	0.495707i
$121$	−8.56686	−	6.89992i	−0.778806	−	0.627265i
$122$	−1.95982	+	1.13150i	−0.177434	+	0.102442i
$123$	3.48608	+	2.51800i	0.314329	+	0.227041i
$124$	−9.16128	−	10.1746i	−0.822707	−	0.913709i
$125$	11.3776	−	3.69679i	1.01764	−	0.330651i
$126$	1.27116	−	0.140758i	0.113244	−	0.0125397i
$127$	9.96809	+	13.7199i	0.884525	+	1.21744i	0.975147	+	0.221559i	$0.0711145\pi$
$127$	9.96809	+	13.7199i	0.884525	+	1.21744i	−0.0906220	+	0.995885i	$0.528885\pi$
$128$	11.1960	+	2.37979i	0.989600	+	0.210346i
$129$	2.84024	+	13.1819i	0.250069	+	1.16060i
$130$	−0.329494	+	3.13492i	−0.0288985	+	0.274951i
$131$	−9.33019	−	16.1604i	−0.815182	−	1.41194i	−0.909197	−	0.416367i	$-0.863303\pi$
$131$	−9.33019	−	16.1604i	−0.815182	−	1.41194i	0.0940143	−	0.995571i	$-0.470030\pi$
$132$	−3.28582	+	9.40126i	−0.285994	+	0.818275i
$133$	−2.66027	+	4.60773i	−0.230675	+	0.399541i
$134$	1.66886	+	1.21250i	0.144167	+	0.104744i
$135$	1.82663	+	8.25432i	0.157211	+	0.710419i
$136$	3.30608	+	10.1751i	0.283494	+	0.872504i
$137$	15.8401	−	1.66486i	1.35331	−	0.142239i	0.600052	−	0.799961i	$-0.295146\pi$
$137$	15.8401	−	1.66486i	1.35331	−	0.142239i	0.753261	+	0.657722i	$0.228480\pi$
$138$	−2.44790	+	0.264171i	−0.208379	+	0.0224877i
$139$	−15.3705	−	13.8396i	−1.30371	−	1.17386i	−0.973175	−	0.230066i	$-0.926106\pi$
$139$	−15.3705	−	13.8396i	−1.30371	−	1.17386i	−0.330530	−	0.943796i	$-0.607227\pi$
$140$	2.27888	−	0.484390i	0.192600	−	0.0409384i
$141$	−9.06457	−	0.927241i	−0.763374	−	0.0780878i
$142$	−6.83222	−	3.94458i	−0.573347	−	0.331022i
$143$	−5.34519	+	11.2446i	−0.446987	+	0.940322i
$144$	7.41804	−	0.0412659i	0.618170	−	0.00343883i
$145$	1.16138	−	1.59850i	0.0964473	−	0.132748i
$146$	0.728093	−	0.655578i	0.0602574	−	0.0542560i
$147$	3.41039	+	10.3976i	0.281284	+	0.857580i
$148$	5.16439	+	2.29933i	0.424510	+	0.189004i
$149$	18.8846	+	8.40797i	1.54709	+	0.688808i	0.989925	−	0.141595i	$-0.0452230\pi$
$149$	18.8846	+	8.40797i	1.54709	+	0.688808i	0.557164	+	0.830403i	$0.311890\pi$
$150$	0.655542	+	1.99862i	0.0535248	+	0.163187i
$151$	−3.14461	+	2.83142i	−0.255904	+	0.230417i	−0.787090	−	0.616838i	$-0.788413\pi$
$151$	−3.14461	+	2.83142i	−0.255904	+	0.230417i	0.531186	+	0.847255i	$0.321747\pi$
$152$	7.29577	−	10.0418i	0.591765	−	0.814495i
$153$	8.40821	+	14.3781i	0.679764	+	1.16240i
$154$	−1.40205	−	0.182700i	−0.112981	−	0.0147224i
$155$	11.1276	+	6.42452i	0.893790	+	0.516030i
$156$	11.2135	+	1.14707i	0.897802	+	0.0918388i
$157$	12.4814	−	2.65301i	0.996127	−	0.211733i	0.319124	−	0.947713i	$-0.396612\pi$
$157$	12.4814	−	2.65301i	0.996127	−	0.211733i	0.677003	+	0.735980i	$0.263278\pi$
$158$	1.43630	+	1.29325i	0.114266	+	0.102885i
$159$	−1.74667	+	0.188496i	−0.138520	+	0.0149487i
$160$	−8.30090	+	0.872460i	−0.656244	+	0.0689740i
$161$	0.703016	+	2.16366i	0.0554054	+	0.170520i
$162$	−4.53249	+	1.01624i	−0.356106	+	0.0798435i
$163$	5.57707	+	4.05198i	0.436830	+	0.317375i	0.784374	−	0.620288i	$-0.212984\pi$
$163$	5.57707	+	4.05198i	0.436830	+	0.317375i	−0.347544	+	0.937664i	$0.612984\pi$
$164$	−2.15214	+	3.72761i	−0.168054	+	0.291078i
$165$	0.206328	−	9.34399i	0.0160626	−	0.727428i
$166$	−1.66665	−	2.88672i	−0.129357	−	0.224053i
$167$	1.68209	−	16.0040i	0.130164	−	1.23842i	−0.713153	−	0.701008i	$-0.752734\pi$
$167$	1.68209	−	16.0040i	0.130164	−	1.23842i	0.843317	−	0.537417i	$-0.180600\pi$
$168$	0.580683	+	2.69502i	0.0448007	+	0.207925i
$169$	1.06817	+	0.227046i	0.0821667	+	0.0174651i
$170$	−2.74031	−	3.77171i	−0.210172	−	0.289277i
$171$	7.76147	−	17.6968i	0.593535	−	1.35331i
$172$	−12.8361	+	4.17070i	−0.978744	+	0.318013i
$173$	−6.03984	−	6.70792i	−0.459200	−	0.509993i	0.468426	−	0.883503i	$-0.344821\pi$
$173$	−6.03984	−	6.70792i	−0.459200	−	0.509993i	−0.927627	+	0.373509i	$0.878154\pi$
$174$	0.880060	+	0.635669i	0.0667172	+	0.0481899i
$175$	1.68315	−	0.971767i	0.127234	−	0.0734587i
$176$	−7.97701	−	1.90397i	−0.601290	−	0.143517i
$177$	0.0335104	+	12.0479i	0.00251879	+	0.905573i
$178$	−1.57857	−	3.54553i	−0.118319	−	0.265749i
$179$	14.8297	+	4.81846i	1.10842	+	0.360149i	0.805339	−	0.592815i	$-0.201984\pi$
$179$	14.8297	+	4.81846i	1.10842	+	0.360149i	0.303085	+	0.952964i	$0.401984\pi$
$180$	−8.03289	+	2.65954i	−0.598737	+	0.198230i
$181$	12.0928	−	8.78593i	0.898851	−	0.653053i	−0.0393199	−	0.999227i	$-0.512519\pi$
$181$	12.0928	−	8.78593i	0.898851	−	0.653053i	0.938171	+	0.346173i	$0.112519\pi$
$182$	0.167281	+	1.59157i	0.0123997	+	0.117975i
$183$	−5.65796	−	5.06603i	−0.418249	−	0.374492i
$184$	−1.10346	−	5.19139i	−0.0813484	−	0.382714i
$185$	−5.27629	−	0.554560i	−0.387920	−	0.0407721i
$186$	−3.51290	+	6.12379i	−0.257578	+	0.449018i
$187$	−5.25321	−	17.6489i	−0.384153	−	1.29062i
$188$		−	9.12016i		−	0.665156i
$189$	1.77838	+	3.90625i	0.129358	+	0.284138i
$190$	−1.67142	+	5.14410i	−0.121257	+	0.373192i
$191$	3.43693	−	16.1695i	0.248688	−	1.16998i	−0.659593	−	0.751623i	$-0.729271\pi$
$191$	3.43693	−	16.1695i	0.248688	−	1.16998i	0.908281	−	0.418361i	$-0.137395\pi$
$192$	0.427003	+	3.95677i	0.0308163	+	0.285555i
$193$	−3.08406	+	6.92691i	−0.221995	+	0.498610i	−0.989868	−	0.141993i	$-0.954649\pi$
$193$	−3.08406	+	6.92691i	−0.221995	+	0.498610i	0.767872	+	0.640603i	$0.221316\pi$
$194$	−0.458137	+	0.508812i	−0.0328923	+	0.0365306i
$195$	−10.3413	+	2.22819i	−0.740555	+	0.159564i
$196$	−10.0057	+	4.45482i	−0.714692	+	0.318201i
$197$	−16.6391			−1.18549			−0.592745	−	0.805390i	$-0.701956\pi$
$197$	−16.6391			−1.18549			−0.592745	+	0.805390i	$0.701956\pi$
$198$	5.13430	+	0.0990857i	0.364879	+	0.00704171i
$199$	−5.53563			−0.392410			−0.196205	−	0.980563i	$-0.562862\pi$
$199$	−5.53563			−0.392410			−0.196205	+	0.980563i	$0.562862\pi$
$200$	−4.14208	+	1.84417i	−0.292889	+	0.130403i
$201$	−2.12092	+	6.58984i	−0.149598	+	0.464812i
$202$	−1.20561	+	1.33896i	−0.0848262	+	0.0942091i
$203$	0.408007	−	0.916398i	0.0286365	−	0.0643185i
$204$	−13.4601	+	9.83666i	−0.942396	+	0.688704i
$205$	0.839855	−	3.95121i	0.0586580	−	0.275964i
$206$	−1.96425	+	6.04534i	−0.136856	+	0.421199i
$207$	−3.40270	−	7.52959i	−0.236504	−	0.523342i
$208$			9.28243i			0.643621i
$209$	−12.9829	+	16.9660i	−0.898046	+	1.17356i
$210$	−0.603562	−	1.03872i	−0.0416497	−	0.0716782i
$211$	−5.94193	−	0.624522i	−0.409059	−	0.0429939i	−0.102236	−	0.994760i	$-0.532600\pi$
$211$	−5.94193	−	0.624522i	−0.409059	−	0.0429939i	−0.306824	+	0.951766i	$0.599266\pi$
$212$	−0.365595	−	1.71999i	−0.0251092	−	0.118129i
$213$	5.43255	−	25.9123i	0.372232	−	1.77548i
$214$	0.898120	+	8.54505i	0.0613942	+	0.584127i
$215$	10.2473	−	7.44511i	0.698861	−	0.507752i
$216$	−3.17349	−	9.49663i	−0.215929	−	0.646164i
$217$	6.20405	+	2.01582i	0.421158	+	0.136843i
$218$	−3.19451	−	7.17500i	−0.216360	−	0.485952i
$219$	2.85204	+	1.63606i	0.192723	+	0.110555i
$220$	9.32496	−	0.746283i	0.628689	−	0.0503144i
$221$	−18.0498	+	10.4211i	−1.21416	+	0.700996i
$222$	0.296636	−	2.89986i	0.0199089	−	0.194626i
$223$	8.45883	+	9.39448i	0.566445	+	0.629101i	0.956515	−	0.291685i	$-0.0942158\pi$
$223$	8.45883	+	9.39448i	0.566445	+	0.629101i	−0.390070	+	0.920785i	$0.627549\pi$
$224$	−4.03010	+	1.30946i	−0.269272	+	0.0874919i
$225$	−5.68756	+	4.18079i	−0.379171	+	0.278719i
$226$	−0.148161	−	0.203927i	−0.00985554	−	0.0135650i
$227$	−6.34451	−	1.34857i	−0.421100	−	0.0895076i	−0.00751218	−	0.999972i	$-0.502391\pi$
$227$	−6.34451	−	1.34857i	−0.421100	−	0.0895076i	−0.413588	+	0.910464i	$0.635725\pi$
$228$	18.4115	+	5.92571i	1.21933	+	0.392440i
$229$	2.80625	−	26.6997i	0.185442	−	1.76436i	−0.366440	−	0.930442i	$-0.619423\pi$
$229$	2.80625	−	26.6997i	0.185442	−	1.76436i	0.551882	−	0.833922i	$-0.313910\pi$
$230$	1.15638	+	2.00290i	0.0762492	+	0.132067i
$231$	−0.883840	−	4.66196i	−0.0581524	−	0.306735i
$232$	−1.17009	+	2.02666i	−0.0768203	+	0.133057i
$233$	13.5691	+	9.85852i	0.888940	+	0.645853i	0.935601	−	0.353058i	$-0.114858\pi$
$233$	13.5691	+	9.85852i	0.888940	+	0.645853i	−0.0466613	+	0.998911i	$0.514858\pi$
$234$	−1.24007	−	5.67854i	−0.0810657	−	0.371218i
$235$	2.64491	+	8.14018i	0.172535	+	0.531007i
$236$	−11.9928	+	1.26050i	−0.780666	+	0.0820513i
$237$	−2.62166	+	5.93270i	−0.170295	+	0.385370i
$238$	−1.75895	−	1.58376i	−0.114016	−	0.102660i
$239$	3.73998	−	0.794958i	0.241919	−	0.0514216i	−0.0853561	−	0.996351i	$-0.527203\pi$
$239$	3.73998	−	0.794958i	0.241919	−	0.0514216i	0.327276	+	0.944929i	$0.393869\pi$
$240$	−2.85189	−	6.35780i	−0.184089	−	0.410394i
$241$	−2.07559	−	1.19834i	−0.133700	−	0.0771919i	0.431658	−	0.902037i	$-0.357929\pi$
$241$	−2.07559	−	1.19834i	−0.133700	−	0.0771919i	−0.565358	+	0.824845i	$0.691262\pi$
$242$	−5.48766	−	1.45489i	−0.352760	−	0.0935237i
$243$	−7.98122	−	13.3903i	−0.511995	−	0.858988i
$244$	4.46803	−	6.14971i	0.286036	−	0.393695i
$245$	7.63863	−	6.87785i	0.488014	−	0.439410i
$246$	2.17225	+	0.455414i	0.138497	+	0.0290361i
$247$	22.0899	+	9.83506i	1.40555	+	0.625790i
$248$	−13.9026	−	6.18982i	−0.882814	−	0.393054i
$249$	7.46200	−	8.33389i	0.472885	−	0.528139i
$250$	4.58840	−	4.13141i	0.290196	−	0.261293i
$251$	−2.10454	+	2.89665i	−0.132837	+	0.182835i	−0.870254	−	0.492603i	$-0.836045\pi$
$251$	−2.10454	+	2.89665i	−0.132837	+	0.182835i	0.737417	+	0.675438i	$0.236045\pi$
$252$	−3.70837	+	2.16862i	−0.233606	+	0.136611i
$253$	1.67655	+	8.97965i	0.105404	+	0.564545i
$254$	7.57999	+	4.37631i	0.475611	+	0.274594i
$255$	9.16110	−	12.6832i	0.573690	−	0.794253i
$256$	1.28344	−	0.272803i	0.0802148	−	0.0170502i
$257$	17.0603	+	15.3612i	1.06419	+	0.958202i	0.999212	−	0.0396844i	$-0.0126353\pi$
$257$	17.0603	+	15.3612i	1.06419	+	0.958202i	0.0649791	+	0.997887i	$0.479302\pi$
$258$	4.10632	+	5.61893i	0.255648	+	0.349820i
$259$	−2.67872	+	0.281544i	−0.166447	+	0.0174943i
$260$	−3.27195	−	10.0700i	−0.202917	−	0.624516i
$261$	−1.10655	+	3.47120i	−0.0684938	+	0.214862i
$262$	−7.79153	−	5.66088i	−0.481362	−	0.349730i
$263$	−11.3034	+	19.5781i	−0.697000	+	1.20724i	0.272502	+	0.962155i	$0.412149\pi$
$263$	−11.3034	+	19.5781i	−0.697000	+	1.20724i	−0.969502	+	0.245084i	$0.921184\pi$
$264$	0.913774	+	11.0318i	0.0562389	+	0.678963i
$265$	0.825119	+	1.42915i	0.0506867	+	0.0877919i
$266$	−0.287036	+	2.73096i	−0.0175993	+	0.167446i
$267$	9.65495	−	8.74210i	0.590873	−	0.535008i
$268$	−6.77763	−	1.44063i	−0.414009	−	0.0880004i
$269$	−3.94074	−	5.42396i	−0.240271	−	0.330705i	0.671803	−	0.740730i	$-0.265520\pi$
$269$	−3.94074	−	5.42396i	−0.240271	−	0.330705i	−0.912074	+	0.410025i	$0.865520\pi$
$270$	2.59400	+	3.50840i	0.157866	+	0.213514i
$271$	3.15014	−	1.02354i	0.191357	−	0.0621757i	−0.211771	−	0.977319i	$-0.567923\pi$
$271$	3.15014	−	1.02354i	0.191357	−	0.0621757i	0.403128	+	0.915144i	$0.367923\pi$
$272$	−9.18630	−	10.2024i	−0.557001	−	0.618612i
$273$	−4.90024	+	2.19808i	−0.296576	+	0.133034i
$274$	7.11901	−	4.11016i	0.430075	−	0.248304i
$275$	7.20587	−	2.99592i	0.434530	−	0.180661i
$276$	7.15074	−	4.15504i	0.430424	−	0.250104i
$277$	6.30689	+	14.1655i	0.378944	+	0.851123i	0.997843	+	0.0656517i	$0.0209126\pi$
$277$	6.30689	+	14.1655i	0.378944	+	0.851123i	−0.618898	+	0.785471i	$0.712421\pi$
$278$	−10.1523	−	3.29868i	−0.608894	−	0.197842i
$279$	−23.2018	−	4.79695i	−1.38905	−	0.287186i
$280$	2.09505	−	1.52214i	0.125203	−	0.0909654i
$281$	2.95907	+	28.1536i	0.176523	+	1.67951i	0.621074	+	0.783752i	$0.286697\pi$
$281$	2.95907	+	28.1536i	0.176523	+	1.67951i	−0.444551	+	0.895754i	$0.646637\pi$
$282$	−4.46852	+	1.46566i	−0.266097	+	0.0872791i
$283$	2.26136	+	10.6389i	0.134424	+	0.632414i	0.992839	+	0.119459i	$0.0381160\pi$
$283$	2.26136	+	10.6389i	0.134424	+	0.632414i	−0.858415	+	0.512955i	$0.828551\pi$
$284$	26.3546	+	2.76998i	1.56386	+	0.164368i
$285$	−18.1517	+	0.0504878i	−1.07521	+	0.00299064i
$286$	−0.159724	+	6.42382i	−0.00944469	+	0.379849i
$287$		−	2.05080i		−	0.121055i
$288$	14.0248	−	6.33797i	0.826421	−	0.373469i
$289$	4.27230	−	13.1488i	0.251312	−	0.773458i
$290$	0.212021	−	0.997481i	0.0124503	−	0.0585741i
$291$	−2.10168	−	0.928731i	−0.123203	−	0.0544432i
$292$	−1.33856	+	3.00645i	−0.0783333	+	0.175939i
$293$	−10.3903	+	11.5397i	−0.607011	+	0.674154i	−0.965807	−	0.259262i	$-0.916521\pi$
$293$	−10.3903	+	11.5397i	−0.607011	+	0.674154i	0.358796	+	0.933416i	$0.383187\pi$
$294$	3.79066	+	4.18648i	0.221076	+	0.244160i
$295$	10.3386	−	4.60305i	0.601938	−	0.268000i
$296$	6.28360			0.365227
$297$	5.05411	+	16.4759i	0.293269	+	0.956030i
$298$	10.6690			0.618037
$299$	9.44540	−	4.20536i	0.546242	−	0.243202i
$300$	−4.74218	−	5.23735i	−0.273790	−	0.302379i
$301$	4.30290	−	4.77886i	0.248015	−	0.275449i
$302$	−0.888282	+	1.99511i	−0.0511149	+	0.114806i
$303$	−5.53066	−	2.44400i	−0.317728	−	0.140404i
$304$	−3.31154	+	15.5796i	−0.189930	+	0.893551i
$305$	−2.20447	+	6.78467i	−0.126228	+	0.388489i
$306$	6.98270	+	5.01412i	0.399174	+	0.286638i
$307$			3.75068i			0.214062i	0.994256	+	0.107031i	$0.0341345\pi$
$307$			3.75068i			0.214062i	−0.994256	+	0.107031i	$0.965866\pi$
$308$	4.55196	−	1.35489i	0.259372	−	0.0772022i
$309$	−21.3319	+	0.0593332i	−1.21353	+	0.00337535i
$310$	6.59522	+	0.693186i	0.374583	+	0.0393703i
$311$	−1.55172	−	7.30026i	−0.0879899	−	0.413960i	−0.999993	−	0.00377623i	$-0.998798\pi$
$311$	−1.55172	−	7.30026i	−0.0879899	−	0.413960i	0.912003	−	0.410183i	$-0.134535\pi$
$312$	11.9052	−	3.90486i	0.673997	−	0.221069i
$313$	0.514928	+	4.89921i	0.0291055	+	0.276920i	0.999389	+	0.0349495i	$0.0111270\pi$
$313$	0.514928	+	4.89921i	0.0291055	+	0.276920i	−0.970284	+	0.241970i	$0.922206\pi$
$314$	5.32798	−	3.87100i	0.300675	−	0.218453i
$315$	2.68099	−	3.01105i	0.151056	−	0.169654i
$316$	−6.17430	−	2.00615i	−0.347332	−	0.112855i
$317$	−4.14575	−	9.31152i	−0.232849	−	0.522987i	0.758896	−	0.651211i	$-0.225739\pi$
$317$	−4.14575	−	9.31152i	−0.232849	−	0.522987i	−0.991745	+	0.128224i	$0.959072\pi$
$318$	−0.783974	+	0.455540i	−0.0439631	+	0.0255454i
$319$	2.10000	−	3.43706i	0.117577	−	0.192439i
$320$	3.23747	−	1.86915i	0.180980	−	0.104489i
$321$	−26.3091	+	11.8014i	−1.46843	+	0.658688i
$322$	0.785667	+	0.872572i	0.0437835	+	0.0486265i
$323$	−34.0124	+	11.0513i	−1.89250	+	0.614912i
$324$	12.5200	−	9.31087i	0.695555	−	0.517271i
$325$	−5.19180	−	7.14590i	−0.287989	−	0.396383i
$326$	3.48015	+	0.739728i	0.192747	+	0.0409697i
$327$	19.5385	−	17.6912i	1.08048	−	0.978323i
$328$	−0.500097	+	4.75811i	−0.0276132	+	0.262723i
$329$	2.17268	+	3.76320i	0.119784	+	0.207472i
$330$	−1.86423	−	4.44893i	−0.102622	−	0.244906i
$331$	10.1129	−	17.5160i	0.555855	−	0.962769i	−0.441982	−	0.897024i	$-0.645724\pi$
$331$	10.1129	−	17.5160i	0.555855	−	0.962769i	0.997836	−	0.0657447i	$-0.0209423\pi$
$332$	9.05821	+	6.58117i	0.497134	+	0.361189i
$333$	9.55736	−	2.08711i	0.523740	−	0.114373i
$334$	−2.56650	−	7.89886i	−0.140432	−	0.432207i
$335$	6.46715	−	0.679725i	0.353338	−	0.0371373i
$336$	−2.08733	−	2.85623i	−0.113873	−	0.155820i
$337$	−2.42113	−	2.17999i	−0.131887	−	0.118752i	0.600547	−	0.799589i	$-0.294949\pi$
$337$	−2.42113	−	2.17999i	−0.131887	−	0.118752i	−0.732435	+	0.680837i	$0.761616\pi$
$338$	0.551295	−	0.117181i	0.0299865	−	0.00637383i
$339$	0.495317	−	0.685748i	0.0269019	−	0.0372447i
$340$	13.5620	+	7.83000i	0.735500	+	0.424641i
$341$	23.6563	+	11.2452i	1.28106	+	0.608959i
$342$	−0.0554803	−	9.97324i	−0.00300003	−	0.539291i
$343$	6.46589	−	8.89953i	0.349125	−	0.480530i
$344$	−11.1486	+	10.0382i	−0.601092	+	0.541226i
$345$	−5.17739	+	5.78233i	−0.278741	+	0.311310i
$346$	−4.25588	−	1.89484i	−0.228797	−	0.101867i
$347$	−13.0397	−	5.80564i	−0.700007	−	0.311663i	0.0256973	−	0.999670i	$-0.491819\pi$
$347$	−13.0397	−	5.80564i	−0.700007	−	0.311663i	−0.725705	+	0.688006i	$0.758486\pi$
$348$	−3.56903	−	0.748252i	−0.191320	−	0.0401105i
$349$	−16.9365	+	15.2497i	−0.906589	+	0.816297i	−0.983531	−	0.180739i	$-0.942151\pi$
$349$	−16.9365	+	15.2497i	−0.906589	+	0.816297i	0.0769417	+	0.997036i	$0.475484\pi$
$350$	0.589597	−	0.811511i	0.0315153	−	0.0433771i
$351$	16.8107	−	9.89363i	0.897291	−	0.528083i
$352$	−16.7258	+	3.12279i	−0.891486	+	0.166445i
$353$	−5.34001	−	3.08306i	−0.284220	−	0.164094i	0.351112	−	0.936333i	$-0.385804\pi$
$353$	−5.34001	−	3.08306i	−0.284220	−	0.164094i	−0.635332	+	0.772239i	$0.719137\pi$
$354$	2.54491	+	5.67345i	0.135261	+	0.301540i
$355$	−24.3261	+	5.17067i	−1.29109	+	0.274431i
$356$	9.68804	+	8.72315i	0.513465	+	0.462326i
$357$	3.21059	−	7.26542i	0.169922	−	0.384527i
$358$	8.00359	−	0.841211i	0.423003	−	0.0444594i
$359$	−6.37029	−	19.6057i	−0.336211	−	1.03475i	−0.966123	−	0.258084i	$-0.916909\pi$
$359$	−6.37029	−	19.6057i	−0.336211	−	1.03475i	0.629912	−	0.776667i	$-0.283091\pi$
$360$	−6.95447	+	6.33224i	−0.366533	+	0.333738i
$361$	18.1956	+	13.2199i	0.957663	+	0.695783i
$362$	3.85730	−	6.68105i	0.202735	−	0.351148i
$363$	−1.10030	−	19.0208i	−0.0577506	−	0.998331i
$364$	−2.68777	−	4.65535i	−0.140877	−	0.244007i
$365$	0.322838	−	3.07160i	0.0168981	−	0.160775i
$366$	−3.73116	−	1.20086i	−0.195031	−	0.0627701i
$367$	9.30370	+	1.97756i	0.485649	+	0.103228i	0.444228	−	0.895914i	$-0.353478\pi$
$367$	9.30370	+	1.97756i	0.485649	+	0.103228i	0.0414213	+	0.999142i	$0.486811\pi$
$368$	4.00310	+	5.50980i	0.208676	+	0.287218i
$369$	0.819770	+	7.40319i	0.0426755	+	0.385395i
$370$	−2.60414	+	0.846138i	−0.135383	+	0.0439886i
$371$	0.560604	+	0.622614i	0.0291051	+	0.0323245i
$372$	2.41319	−	23.5909i	0.125118	−	1.22313i
$373$	−15.8008	+	9.12261i	−0.818135	+	0.472351i	−0.849773	−	0.527149i	$-0.823261\pi$
$373$	−15.8008	+	9.12261i	−0.818135	+	0.472351i	0.0316376	+	0.999499i	$0.489928\pi$
$374$	−6.18174	−	7.21856i	−0.319650	−	0.373263i
$375$	17.9734	+	10.3104i	0.928140	+	0.532425i
$376$	−4.12321	−	9.26089i	−0.212638	−	0.477594i
$377$	−4.33578	−	1.40878i	−0.223304	−	0.0725559i
$378$	1.65850	+	1.46845i	0.0853040	+	0.0755288i
$379$	−10.6723	+	7.75385i	−0.548197	+	0.398288i	−0.827120	−	0.562025i	$-0.810022\pi$
$379$	−10.6723	+	7.75385i	−0.548197	+	0.398288i	0.278923	+	0.960313i	$0.410022\pi$
$380$	−1.89910	−	18.0688i	−0.0974219	−	0.926907i
$381$	−6.02713	+	28.7484i	−0.308779	+	1.47282i
$382$	−1.77385	−	8.34529i	−0.0907579	−	0.426982i
$383$	−23.8225	−	2.50384i	−1.21727	−	0.127940i	−0.525967	−	0.850505i	$-0.676297\pi$
$383$	−23.8225	−	2.50384i	−1.21727	−	0.127940i	−0.691304	+	0.722564i	$0.742963\pi$
$384$	9.96039	+	17.1416i	0.508289	+	0.874755i
$385$	−3.66991	+	2.52941i	−0.187036	+	0.128910i
$386$			3.91340i			0.199187i
$387$	−13.6228	+	18.9712i	−0.692486	+	0.964361i
$388$	0.710686	−	2.18727i	0.0360796	−	0.111042i
$389$	1.57254	−	7.39823i	0.0797311	−	0.375105i	−0.920133	−	0.391607i	$-0.871919\pi$
$389$	1.57254	−	7.39823i	0.0797311	−	0.375105i	0.999864	+	0.0165013i	$0.00525276\pi$
$390$	−4.40809	+	3.22144i	−0.223212	+	0.163124i
$391$	−6.21973	+	13.9697i	−0.314545	+	0.706480i
$392$	−8.14605	+	9.04711i	−0.411438	+	0.456948i
$393$	9.90212	−	30.7665i	0.499496	−	1.55196i
$394$	−7.84523	+	3.49292i	−0.395237	+	0.175971i
$395$	6.09266			0.306555
$396$	−15.8905	+	6.71059i	−0.798529	+	0.337220i
$397$	−13.3191			−0.668466			−0.334233	−	0.942491i	$-0.608477\pi$
$397$	−13.3191			−0.668466			−0.334233	+	0.942491i	$0.608477\pi$
$398$	−2.61001	+	1.16205i	−0.130828	+	0.0582483i
$399$	−9.00872	+	1.94107i	−0.451000	+	0.0971749i
$400$	3.89312	−	4.32375i	0.194656	−	0.216188i
$401$	−0.734422	+	1.64954i	−0.0366753	+	0.0823740i	−0.930954	−	0.365136i	$-0.881022\pi$
$401$	−0.734422	+	1.64954i	−0.0366753	+	0.0823740i	0.894279	+	0.447510i	$0.147689\pi$
$402$	0.383353	+	3.55229i	0.0191199	+	0.177172i
$403$	6.16389	−	28.9988i	0.307045	−	1.44453i
$404$	1.87020	−	5.75589i	0.0930460	−	0.286366i
$405$	−8.47448	+	11.9413i	−0.421100	+	0.593367i
$406$		−	0.517725i		−	0.0256942i
$407$	−10.8117	−	0.268827i	−0.535917	−	0.0133252i
$408$	−9.22066	+	16.0737i	−0.456491	+	0.795768i
$409$	−1.83518	−	0.192885i	−0.0907438	−	0.00953755i	0.0590478	−	0.998255i	$-0.481194\pi$
$409$	−1.83518	−	0.192885i	−0.0907438	−	0.00953755i	−0.149792	+	0.988718i	$0.547860\pi$
$410$	−0.433460	−	2.03927i	−0.0214071	−	0.100712i
$411$	20.5524	+	18.4022i	1.01378	+	0.907715i
$412$	−2.23182	−	21.2344i	−0.109954	−	1.04614i
$413$	4.64824	−	3.37714i	0.228725	−	0.166178i
$414$	−3.18497	−	2.83584i	−0.156533	−	0.139374i
$415$	−9.99347	−	3.24708i	−0.490560	−	0.159393i
$416$	7.83303	+	17.5933i	0.384046	+	0.862582i
$417$	−0.0996417	−	35.8238i	−0.00487948	−	1.75430i
$418$	−2.55981	+	10.7247i	−0.125204	+	0.524564i
$419$	11.8496	−	6.84138i	0.578891	−	0.334223i	−0.181801	−	0.983335i	$-0.558193\pi$
$419$	11.8496	−	6.84138i	0.578891	−	0.334223i	0.760693	+	0.649112i	$0.224859\pi$
$420$	3.27122	+	2.36281i	0.159619	+	0.115293i
$421$	−2.11632	−	2.35041i	−0.103143	−	0.114552i	0.689363	−	0.724416i	$-0.257891\pi$
$421$	−2.11632	−	2.35041i	−0.103143	−	0.114552i	−0.792506	+	0.609864i	$0.791224\pi$
$422$	−2.93268	+	0.952884i	−0.142760	+	0.0463857i
$423$	−9.34744	−	12.7163i	−0.454488	−	0.618287i
$424$	−1.14884	−	1.58124i	−0.0557927	−	0.0767920i
$425$	12.7783	+	2.71610i	0.619837	+	0.131750i
$426$	−2.87816	−	13.3579i	−0.139447	−	0.647192i
$427$	−0.378578	+	3.60193i	−0.0183207	+	0.174310i
$428$	−14.4305	−	24.9943i	−0.697524	−	1.20815i
$429$	−20.6514	+	6.20948i	−0.997058	+	0.299796i
$430$	3.26864	−	5.66145i	0.157628	−	0.273019i
$431$	0.853427	+	0.620051i	0.0411081	+	0.0298668i	0.608150	−	0.793822i	$-0.291912\pi$
$431$	0.853427	+	0.620051i	0.0411081	+	0.0298668i	−0.567041	+	0.823689i	$0.691912\pi$
$432$	8.67678	+	9.47632i	0.417462	+	0.455930i
$433$	−8.10370	−	24.9406i	−0.389439	−	1.19857i	−0.933209	−	0.359335i	$-0.883003\pi$
$433$	−8.10370	−	24.9406i	−0.389439	−	1.19857i	0.543770	−	0.839235i	$-0.316997\pi$
$434$	3.34833	−	0.351923i	0.160725	−	0.0168929i
$435$	3.40253	−	0.367192i	0.163139	−	0.0176055i
$436$	19.6054	+	17.6528i	0.938929	+	0.845416i
$437$	17.3534	−	3.68858i	0.830126	−	0.176449i
$438$	1.68816	+	0.172687i	0.0806634	+	0.00825129i
$439$	−4.89732	−	2.82747i	−0.233737	−	0.134948i	0.378558	−	0.925578i	$-0.376420\pi$
$439$	−4.89732	−	2.82747i	−0.233737	−	0.134948i	−0.612295	+	0.790630i	$0.709753\pi$
$440$	9.13145	−	4.97360i	0.435325	−	0.237107i
$441$	−9.38513	+	16.4664i	−0.446911	+	0.784114i
$442$	−6.32273	+	8.70250i	−0.300742	+	0.413935i
$443$	13.8077	−	12.4325i	0.656025	−	0.590688i	−0.272410	−	0.962181i	$-0.587821\pi$
$443$	13.8077	−	12.4325i	0.656025	−	0.590688i	0.928436	+	0.371493i	$0.121154\pi$
$444$	3.05163	+	9.30382i	0.144824	+	0.441540i
$445$	−11.1768	−	4.97624i	−0.529831	−	0.235896i
$446$	5.96038	+	2.65373i	0.282232	+	0.125658i
$447$	11.1589	+	34.0213i	0.527798	+	1.60915i
$448$	1.41042	−	1.26994i	0.0666359	−	0.0599992i
$449$	−1.65400	+	2.27654i	−0.0780572	+	0.107437i	−0.846260	−	0.532770i	$-0.821151\pi$
$449$	−1.65400	+	2.27654i	−0.0780572	+	0.107437i	0.768203	+	0.640206i	$0.221151\pi$
$450$	−1.80400	+	3.16516i	−0.0850415	+	0.149207i
$451$	1.06404	−	8.16553i	0.0501038	−	0.384500i
$452$	0.733260	+	0.423348i	0.0344896	+	0.0199126i
$453$	−7.29110	−	0.745828i	−0.342566	−	0.0350421i
$454$	−3.27448	+	0.696013i	−0.153679	+	0.0326655i
$455$	3.74905	+	3.37566i	0.175758	+	0.158253i
$456$	21.3746	−	2.30669i	1.00096	−	0.108021i
$457$	11.5169	−	1.21048i	0.538740	−	0.0566238i	0.168749	−	0.985659i	$-0.446027\pi$
$457$	11.5169	−	1.21048i	0.538740	−	0.0566238i	0.369991	+	0.929035i	$0.379361\pi$
$458$	−4.28172	−	13.1778i	−0.200072	−	0.615758i
$459$	−8.68570	+	27.5108i	−0.405414	+	1.28410i
$460$	−6.28489	−	4.56624i	−0.293035	−	0.212902i
$461$	18.8115	−	32.5824i	0.876138	−	1.51752i	0.0205924	−	0.999788i	$-0.493445\pi$
$461$	18.8115	−	32.5824i	0.876138	−	1.51752i	0.855546	−	0.517727i	$-0.173222\pi$
$462$	−1.39537	−	2.01254i	−0.0649186	−	0.0936320i
$463$	4.38654	+	7.59771i	0.203860	+	0.353096i	0.949769	−	0.312952i	$-0.101318\pi$
$463$	4.38654	+	7.59771i	0.203860	+	0.353096i	−0.745909	+	0.666048i	$0.767985\pi$
$464$	0.313895	−	2.98651i	0.0145722	−	0.138645i
$465$	4.68764	+	21.7559i	0.217384	+	1.00891i
$466$	8.46724	+	1.79977i	0.392237	+	0.0833726i
$467$	−2.96559	−	4.08179i	−0.137231	−	0.188883i	0.734870	−	0.678208i	$-0.237243\pi$
$467$	−2.96559	−	4.08179i	−0.137231	−	0.188883i	−0.872101	+	0.489325i	$0.837243\pi$
$468$	11.5635	+	15.7310i	0.534522	+	0.727165i
$469$	3.13981	−	1.02019i	0.144983	−	0.0471078i
$470$	2.95586	+	3.28281i	0.136344	+	0.151425i
$471$	17.9165	+	12.9411i	0.825549	+	0.596295i
$472$	−11.6080	+	6.70188i	−0.534302	+	0.308479i
$473$	19.6120	−	16.7951i	0.901762	−	0.772239i
$474$	0.00931105	+	3.34757i	0.000427671	+	0.153759i
$475$	−6.16457	−	13.8459i	−0.282850	−	0.635291i
$476$	7.56130	+	2.45681i	0.346572	+	0.112608i
$477$	−2.27260	−	2.02348i	−0.104055	−	0.0926489i
$478$	1.59650	−	1.15992i	0.0730220	−	0.0530536i
$479$	0.0377644	+	0.359304i	0.00172550	+	0.0164170i	0.995351	−	0.0963164i	$-0.0307061\pi$
$479$	0.0377644	+	0.359304i	0.00172550	+	0.0164170i	−0.993625	+	0.112733i	$0.964039\pi$
$480$	−10.7703	−	9.64356i	−0.491597	−	0.440166i
$481$	2.54506	+	11.9736i	0.116045	+	0.545948i
$482$	−1.23018	−	0.129297i	−0.0560332	−	0.00588933i
$483$	−1.96072	+	3.41798i	−0.0892157	+	0.155523i
$484$	18.8272	−	3.03293i	0.855781	−	0.137860i
$485$			2.15834i			0.0980054i
$486$	−6.57400	−	4.63800i	−0.298203	−	0.210384i
$487$	−2.92775	+	9.01069i	−0.132669	+	0.408314i	−0.995220	−	0.0976565i	$-0.968865\pi$
$487$	−2.92775	+	9.01069i	−0.132669	+	0.408314i	0.862551	+	0.505970i	$0.168865\pi$
$488$	1.75669	−	8.26459i	0.0795218	−	0.374121i
$489$	1.28111	+	11.8712i	0.0579337	+	0.536834i
$490$	2.15774	−	4.84637i	0.0974769	−	0.218937i
$491$	−2.60774	+	2.89619i	−0.117686	+	0.130703i	−0.799109	−	0.601187i	$-0.794695\pi$
$491$	−2.60774	+	2.89619i	−0.117686	+	0.130703i	0.681423	+	0.731890i	$0.261361\pi$
$492$	−7.28797	+	1.57030i	−0.328567	+	0.0707948i
$493$	6.15970	−	2.74247i	0.277419	−	0.123515i
$494$	12.4798			0.561494
$495$	12.2369	−	10.5979i	0.550010	−	0.476339i
$496$	19.5283			0.876846
$497$	−11.5344	+	5.13546i	−0.517390	+	0.230357i
$498$	1.76881	−	5.49580i	0.0792623	−	0.246273i
$499$	−4.88561	+	5.42602i	−0.218710	+	0.242902i	−0.842508	−	0.538683i	$-0.818922\pi$
$499$	−4.88561	+	5.42602i	−0.218710	+	0.242902i	0.623798	+	0.781585i	$0.285589\pi$
$500$	−8.43552	+	18.9465i	−0.377248	+	0.847313i
$501$	22.5036	−	16.4456i	1.00539	−	0.734737i
$502$	−0.384204	+	1.80754i	−0.0171479	+	0.0806744i
$503$	−2.73780	+	8.42609i	−0.122073	+	0.375701i	−0.993356	−	0.115079i	$-0.963288\pi$
$503$	−2.73780	+	8.42609i	−0.122073	+	0.375701i	0.871284	+	0.490780i	$0.163288\pi$
$504$	−2.78516	+	3.87864i	−0.124061	+	0.172768i
$505$			5.67978i			0.252747i
$506$	2.67551	+	3.88189i	0.118941	+	0.172571i
$507$	0.950279	+	1.63541i	0.0422034	+	0.0726311i
$508$	−29.2391	−	3.07315i	−1.29727	−	0.136349i
$509$	1.46918	+	6.91194i	0.0651202	+	0.306366i	0.998639	−	0.0521632i	$-0.0166116\pi$
$509$	1.46918	+	6.91194i	0.0651202	+	0.306366i	−0.933518	+	0.358529i	$0.883278\pi$
$510$	1.65691	−	7.90315i	0.0733690	−	0.349958i
$511$	−0.163901	−	1.55942i	−0.00725057	−	0.0689846i
$512$	−17.9724	+	13.0577i	−0.794277	+	0.577076i
$513$	31.7447	−	10.6081i	1.40156	−	0.468360i
$514$	11.2684	+	3.66134i	0.497030	+	0.161495i
$515$	8.15012	+	18.3055i	0.359137	+	0.806635i
$516$	−20.2775	−	11.6321i	−0.892665	−	0.512075i
$517$	6.69831	+	16.1109i	0.294591	+	0.708558i
$518$	−1.20389	+	0.695068i	−0.0528960	+	0.0305395i
$519$	1.59096	−	15.5530i	0.0698355	−	0.682701i
$520$	−7.87507	−	8.74615i	−0.345345	−	0.383544i
$521$	−26.9994	+	8.77265i	−1.18287	+	0.384337i	−0.833431	−	0.552624i	$-0.813627\pi$
$521$	−26.9994	+	8.77265i	−1.18287	+	0.384337i	−0.349436	+	0.936960i	$0.613627\pi$
$522$	0.206951	+	1.86893i	0.00905798	+	0.0818010i
$523$	−16.9778	−	23.3679i	−0.742386	−	1.02181i	−0.998478	−	0.0551542i	$-0.982435\pi$
$523$	−16.9778	−	23.3679i	−0.742386	−	1.02181i	0.256092	−	0.966652i	$-0.417565\pi$
$524$	31.6432	+	6.72597i	1.38234	+	0.293826i
$525$	3.20442	+	1.03134i	0.139852	+	0.0450111i
$526$	−1.21961	+	11.6038i	−0.0531774	+	0.505949i
$527$	21.9237	+	37.9730i	0.955012	+	1.65413i
$528$	−6.82904	−	12.4554i	−0.297196	−	0.542052i
$529$	−7.70705	+	13.3490i	−0.335089	+	0.580392i
$530$	0.689047	+	0.500622i	0.0299303	+	0.0217456i
$531$	−15.4297	+	14.0492i	−0.669594	+	0.609683i
$532$	−2.85033	−	8.77240i	−0.123577	−	0.380332i
$533$	−9.26927	+	0.974239i	−0.401496	+	0.0421990i
$534$	2.71708	−	6.14862i	0.117579	−	0.266077i
$535$	20.1284	+	18.1237i	0.870228	+	0.783557i
$536$	−7.53351	+	1.60130i	−0.325398	+	0.0691655i
$537$	11.0536	+	24.6420i	0.476997	+	1.06338i
$538$	−2.99664	−	1.73011i	−0.129194	−	0.0745903i
$539$	14.4034	−	15.2182i	0.620397	−	0.655494i
$540$	−12.7533	−	7.22189i	−0.548813	−	0.310781i
$541$	−23.4869	+	32.3269i	−1.00978	+	1.38984i	−0.0906506	+	0.995883i	$0.528895\pi$
$541$	−23.4869	+	32.3269i	−1.00978	+	1.38984i	−0.919128	+	0.393959i	$0.871105\pi$
$542$	1.27040	−	1.14387i	0.0545684	−	0.0491336i
$543$	25.3390	+	5.31235i	1.08740	+	0.227975i
$544$	−26.0204	−	11.5851i	−1.11562	−	0.496705i
$545$	−22.6182	−	10.0703i	−0.968857	−	0.431363i
$546$	−1.84900	+	2.06505i	−0.0791300	+	0.0883758i
$547$	2.38670	−	2.14899i	0.102048	−	0.0918842i	−0.616528	−	0.787333i	$-0.711461\pi$
$547$	2.38670	−	2.14899i	0.102048	−	0.0918842i	0.718575	+	0.695449i	$0.244794\pi$
$548$	−16.2300	+	22.3387i	−0.693312	+	0.954262i
$549$	−0.0731743	−	13.1539i	−0.00312300	−	0.561397i
$550$	2.76860	−	2.92523i	0.118054	−	0.124732i
$551$	−6.77457	−	3.91130i	−0.288607	−	0.166627i
$552$	5.38259	−	7.45199i	0.229098	−	0.317178i
$553$	3.02559	−	0.643109i	0.128661	−	0.0273478i
$554$	5.94730	+	5.35498i	0.252677	+	0.227511i
$555$	−5.42189	−	7.41911i	−0.230147	−	0.314924i
$556$	35.6602	−	3.74803i	1.51233	−	0.158952i
$557$	−2.30265	−	7.08682i	−0.0975663	−	0.300278i	0.890348	−	0.455281i	$-0.150461\pi$
$557$	−2.30265	−	7.08682i	−0.0975663	−	0.300278i	−0.987914	+	0.155003i	$0.950461\pi$
$558$	−11.9465	+	2.60884i	−0.505734	+	0.110441i
$559$	−23.6437	−	17.1782i	−1.00002	−	0.726559i
$560$	−1.66152	+	2.87784i	−0.0702120	+	0.121611i
$561$	16.5530	−	27.2624i	0.698867	−	1.15102i
$562$	7.30525	+	12.6531i	0.308153	+	0.533737i
$563$	4.46779	−	42.5082i	0.188295	−	1.79151i	−0.337939	−	0.941168i	$-0.609730\pi$
$563$	4.46779	−	42.5082i	0.188295	−	1.79151i	0.526234	−	0.850340i	$-0.323604\pi$
$564$	11.7097	−	10.6026i	0.493068	−	0.446450i
$565$	−0.777243	−	0.165208i	−0.0326989	−	0.00695036i
$566$	3.29954	+	4.54143i	0.138690	+	0.190891i
$567$	−2.94793	+	6.82451i	−0.123802	+	0.286602i
$568$	28.0136	−	9.10216i	1.17542	−	0.381918i
$569$	−23.0554	−	25.6056i	−0.966531	−	1.07344i	−0.997265	−	0.0739135i	$-0.976451\pi$
$569$	−23.0554	−	25.6056i	−0.966531	−	1.07344i	0.0307340	−	0.999528i	$-0.490216\pi$
$570$	−8.54779	+	3.83424i	−0.358027	+	0.160599i
$571$	7.05972	−	4.07593i	0.295440	−	0.170572i	−0.344953	−	0.938620i	$-0.612105\pi$
$571$	7.05972	−	4.07593i	0.295440	−	0.170572i	0.640393	+	0.768048i	$0.278772\pi$
$572$	−8.28630	−	19.9304i	−0.346468	−	0.833332i
$573$	24.7562	−	14.3850i	1.03420	−	0.600940i
$574$	−0.430509	−	0.966938i	−0.0179691	−	0.0403592i
$575$	−6.16343	−	2.00262i	−0.257033	−	0.0835150i
$576$	−4.58382	+	5.14816i	−0.190993	+	0.214507i
$577$	−25.3221	+	18.3976i	−1.05417	+	0.765900i	−0.973001	−	0.230800i	$-0.925866\pi$
$577$	−25.3221	+	18.3976i	−1.05417	+	0.765900i	−0.0811701	+	0.996700i	$0.525866\pi$
$578$	−0.745862	−	7.09640i	−0.0310238	−	0.295171i
$579$	−12.4791	+	4.09310i	−0.518612	+	0.170104i
$580$	0.712181	+	3.35055i	0.0295717	+	0.139124i
$581$	−5.30546	−	0.557626i	−0.220107	−	0.0231342i
$582$	−1.18589	+	0.00329847i	−0.0491566	+	0.000136726i
$583$	1.90908	+	2.76988i	0.0790659	+	0.114717i
$584$			3.65800i			0.151369i
$585$	−14.8830	−	10.6872i	−0.615338	−	0.441860i
$586$	−2.47654	+	7.62202i	−0.102305	+	0.314863i
$587$	1.07554	−	5.06000i	0.0443922	−	0.208849i	−0.950362	−	0.311148i	$-0.899287\pi$
$587$	1.07554	−	5.06000i	0.0443922	−	0.208849i	0.994754	+	0.102299i	$0.0326199\pi$
$588$	−17.3517	−	7.66774i	−0.715574	−	0.316212i
$589$	20.6909	−	46.4725i	0.852554	−	1.91487i
$590$	3.90830	−	4.34061i	0.160902	−	0.178700i
$591$	−19.3437	−	21.3636i	−0.795695	−	0.878781i
$592$	−7.36610	+	3.27960i	−0.302745	+	0.134791i
$593$	38.5249			1.58203			0.791014	−	0.611798i	$-0.209554\pi$
$593$	38.5249			1.58203			0.791014	+	0.611798i	$0.209554\pi$
$594$	5.84163	+	6.70731i	0.239685	+	0.275204i
$595$	−7.46132			−0.305884
$596$	−32.7389	+	14.5763i	−1.34104	+	0.597068i
$597$	−6.43541	−	7.10739i	−0.263384	−	0.290886i
$598$	3.57064	−	3.96559i	0.146014	−	0.162165i
$599$	−15.5509	+	34.9280i	−0.635394	+	1.42712i	0.252741	+	0.967534i	$0.418668\pi$
$599$	−15.5509	+	34.9280i	−0.635394	+	1.42712i	−0.888135	+	0.459583i	$0.847999\pi$
$600$	−7.18315	−	3.17423i	−0.293251	−	0.129588i
$601$	−2.81673	+	13.2517i	−0.114897	+	0.540547i	0.882618	+	0.470091i	$0.155779\pi$
$601$	−2.81673	+	13.2517i	−0.114897	+	0.540547i	−0.997515	+	0.0704562i	$0.977554\pi$
$602$	1.02560	−	3.15647i	0.0418003	−	0.128648i
$603$	−10.9266	+	4.93785i	−0.444966	+	0.201085i
$604$		−	7.33582i		−	0.298490i
$605$	−15.9246	+	8.16704i	−0.647427	+	0.332037i
$606$	−3.12071	+	0.00868006i	−0.126770	+	0.000352604i
$607$	48.1829	+	5.06423i	1.95568	+	0.205551i	0.996906	−	0.0786025i	$-0.0250458\pi$
$607$	48.1829	+	5.06423i	1.95568	+	0.205551i	0.958779	+	0.284153i	$0.0917125\pi$
$608$	6.87046	+	32.3230i	0.278634	+	1.31087i
$609$	1.65092	−	0.541499i	0.0668988	−	0.0219426i
$610$	0.384859	+	3.66169i	0.0155825	+	0.148257i
$611$	15.9769	−	11.6079i	0.646354	−	0.469604i
$612$	−28.2776	−	5.84637i	−1.14305	−	0.236326i
$613$	20.9554	+	6.80882i	0.846381	+	0.275006i	0.699929	−	0.714212i	$-0.253215\pi$
$613$	20.9554	+	6.80882i	0.846381	+	0.275006i	0.146451	+	0.989218i	$0.453215\pi$
$614$	0.787349	+	1.76842i	0.0317748	+	0.0713675i
$615$	6.04946	−	3.51513i	0.243938	−	0.141744i
$616$	4.00965	−	3.43373i	0.161553	−	0.138349i
$617$	4.16758	−	2.40615i	0.167781	−	0.0968681i	−0.413758	−	0.910387i	$-0.635784\pi$
$617$	4.16758	−	2.40615i	0.167781	−	0.0968681i	0.581539	+	0.813519i	$0.302451\pi$
$618$	−10.0454	+	4.50600i	−0.404083	+	0.181258i
$619$	25.9901	+	28.8649i	1.04463	+	1.16018i	0.986815	+	0.161851i	$0.0517463\pi$
$619$	25.9901	+	28.8649i	1.04463	+	1.16018i	0.0578136	+	0.998327i	$0.481587\pi$
$620$	−21.1852	+	6.88349i	−0.850818	+	0.276448i
$621$	5.71172	−	13.1223i	0.229203	−	0.526581i
$622$	−2.26411	−	3.11628i	−0.0907825	−	0.124951i
$623$	−6.07562	−	1.29141i	−0.243414	−	0.0517393i
$624$	−11.9180	+	10.7912i	−0.477104	+	0.431995i
$625$	0.804752	−	7.65671i	0.0321901	−	0.306268i
$626$	1.27124	+	2.20185i	0.0508089	+	0.0880035i
$627$	−36.8765	+	3.05450i	−1.47270	+	0.121985i
$628$	−11.0608	+	19.1578i	−0.441373	+	0.764481i
$629$	−14.6469	−	10.6416i	−0.584009	−	0.424308i
$630$	0.631979	−	1.98249i	0.0251786	−	0.0789842i
$631$	0.650946	+	2.00341i	0.0259138	+	0.0797543i	0.963177	−	0.268868i	$-0.0866496\pi$
$631$	0.650946	+	2.00341i	0.0259138	+	0.0797543i	−0.937263	+	0.348622i	$0.886650\pi$
$632$	−7.17655	+	0.754286i	−0.285468	+	0.0300039i
$633$	−6.10591	−	8.35509i	−0.242688	−	0.332085i
$634$	−3.90939	−	3.52003i	−0.155262	−	0.139798i
$635$	26.9885	−	5.73658i	1.07101	−	0.227649i
$636$	1.78334	−	2.46896i	0.0707139	−	0.0979008i
$637$	−20.5389	−	11.8582i	−0.813783	−	0.469838i
$638$	0.268617	−	2.06139i	0.0106347	−	0.0816110i
$639$	39.5854	−	23.1492i	1.56597	−	0.915767i
$640$	10.9461	−	15.0660i	0.432683	−	0.595537i
$641$	−8.55349	+	7.70159i	−0.337842	+	0.304195i	−0.820536	−	0.571594i	$-0.806325\pi$
$641$	−8.55349	+	7.70159i	−0.337842	+	0.304195i	0.482694	+	0.875789i	$0.339658\pi$
$642$	−9.92719	+	11.0871i	−0.391795	+	0.437574i
$643$	−24.4913	−	10.9042i	−0.965843	−	0.430021i	−0.137660	−	0.990479i	$-0.543958\pi$
$643$	−24.4913	−	10.9042i	−0.965843	−	0.430021i	−0.828182	+	0.560459i	$0.810625\pi$
$644$	−3.60304	−	1.60418i	−0.141980	−	0.0632134i
$645$	21.4720	+	4.50163i	0.845459	+	0.177251i
$646$	−13.7167	+	12.3506i	−0.539676	+	0.485927i
$647$	−1.91595	+	2.63708i	−0.0753238	+	0.103674i	−0.845016	−	0.534740i	$-0.820409\pi$
$647$	−1.91595	+	2.63708i	−0.0753238	+	0.103674i	0.769693	+	0.638415i	$0.220409\pi$
$648$	8.50375	−	15.1148i	0.334059	−	0.593766i
$649$	20.2598	−	11.0348i	0.795265	−	0.433155i
$650$	−3.94798	−	2.27937i	−0.154852	−	0.0894041i
$651$	4.62430	+	10.3091i	0.181241	+	0.404045i
$652$	−11.6898	+	2.48475i	−0.457809	+	0.0973104i
$653$	−21.2000	−	19.0886i	−0.829622	−	0.746995i	0.140379	−	0.990098i	$-0.455168\pi$
$653$	−21.2000	−	19.0886i	−0.829622	−	0.746995i	−0.970000	+	0.243103i	$0.921835\pi$
$654$	5.49847	−	12.4428i	0.215007	−	0.486552i
$655$	−30.1937	+	3.17348i	−1.17976	+	0.123998i
$656$	−1.89715	−	5.83882i	−0.0740712	−	0.227968i
$657$	1.21502	+	5.56383i	0.0474023	+	0.217066i
$658$	1.81438	+	1.31823i	0.0707320	+	0.0513898i
$659$	−14.5393	+	25.1829i	−0.566372	+	0.980985i	0.430549	+	0.902567i	$0.358320\pi$
$659$	−14.5393	+	25.1829i	−0.566372	+	0.980985i	−0.996921	+	0.0784173i	$0.975013\pi$
$660$	11.7989	+	11.1051i	0.459270	+	0.432264i
$661$	−9.88180	−	17.1158i	−0.384358	−	0.665727i	0.607322	−	0.794456i	$-0.292244\pi$
$661$	−9.88180	−	17.1158i	−0.384358	−	0.665727i	−0.991680	+	0.128729i	$0.958910\pi$
$662$	1.09115	−	10.3816i	0.0424088	−	0.403492i
$663$	−34.3636	−	11.0598i	−1.33457	−	0.429529i
$664$	12.1733	+	2.58752i	0.472416	+	0.100415i
$665$	5.08811	+	7.00318i	0.197308	+	0.271572i
$666$	4.06809	−	2.99036i	0.157635	−	0.115874i
$667$	−3.18115	+	1.03362i	−0.123175	+	0.0400219i
$668$	18.6672	+	20.7321i	0.722257	+	0.802148i
$669$	−2.22815	+	21.7821i	−0.0861453	+	0.842144i
$670$	2.90652	−	1.67808i	0.112289	−	0.0648300i
$671$	−3.37619	+	14.1451i	−0.130336	+	0.546066i
$672$	−6.36643	−	3.65209i	−0.245590	−	0.140882i
$673$	11.8492	+	26.6137i	0.456752	+	1.02588i	0.984324	+	0.176371i	$0.0564358\pi$
$673$	11.8492	+	26.6137i	0.456752	+	1.02588i	−0.527572	+	0.849510i	$0.676898\pi$
$674$	−1.59917	−	0.519602i	−0.0615978	−	0.0200143i
$675$	−11.9799	−	2.44211i	−0.461107	−	0.0939968i
$676$	−1.53161	+	1.11278i	−0.0589081	+	0.0427992i
$677$	4.49502	+	42.7673i	0.172758	+	1.64368i	0.646426	+	0.762977i	$0.276263\pi$
$677$	4.49502	+	42.7673i	0.172758	+	1.64368i	−0.473668	+	0.880704i	$0.657070\pi$
$678$	0.0895846	−	0.427303i	0.00344048	−	0.0164105i
$679$	0.227823	+	1.07182i	0.00874305	+	0.0411328i
$680$	17.3111	+	1.81947i	0.663852	+	0.0697737i
$681$	−5.64430	−	9.71372i	−0.216290	−	0.372230i
$682$	13.5144	+	0.336026i	0.517492	+	0.0128671i
$683$		−	19.3709i		−	0.741208i	−0.928791	−	0.370604i	$-0.879151\pi$
$683$		−	19.3709i		−	0.741208i	0.928791	−	0.370604i	$-0.120849\pi$
$684$	13.7960	+	30.5281i	0.527503	+	1.16727i
$685$	8.00770	−	24.6452i	0.305958	−	0.941643i
$686$	1.18041	−	5.55340i	0.0450683	−	0.212030i
$687$	37.5431	−	27.4365i	1.43236	−	1.04677i
$688$	7.82996	−	17.5864i	0.298514	−	0.670474i
$689$	2.54779	−	2.82961i	0.0970630	−	0.107799i
$690$	−1.22726	+	3.81318i	−0.0467210	+	0.145165i
$691$	11.6116	−	5.16983i	0.441727	−	0.196670i	−0.173807	−	0.984780i	$-0.555607\pi$
$691$	11.6116	−	5.16983i	0.441727	−	0.196670i	0.615534	+	0.788110i	$0.288940\pi$
$692$	15.6484			0.594863
$693$	4.95816	−	6.55453i	0.188345	−	0.248986i
$694$	−7.36685			−0.279642
$695$	−30.7415	+	13.6870i	−1.16609	+	0.519177i
$696$	−3.96238	+	0.853757i	−0.150194	+	0.0323616i
$697$	9.22380	−	10.2441i	0.349376	−	0.388022i
$698$	−4.78418	+	10.7455i	−0.181084	+	0.406721i
$699$	3.11695	+	28.8828i	0.117894	+	1.09245i
$700$	−0.700530	+	3.29574i	−0.0264776	+	0.124567i
$701$	4.67927	−	14.4013i	0.176734	−	0.543930i	−0.822975	−	0.568078i	$-0.807687\pi$
$701$	4.67927	−	14.4013i	0.176734	−	0.543930i	0.999708	+	0.0241478i	$0.00768723\pi$
$702$	5.84925	−	8.19372i	0.220766	−	0.309252i
$703$			21.0044i			0.792195i
$704$	6.27465	−	4.32466i	0.236485	−	0.162992i
$705$	−7.37666	+	12.8592i	−0.277821	+	0.484306i
$706$	−3.16498	−	0.332652i	−0.119115	−	0.0125195i
$707$	0.599527	+	2.82055i	0.0225475	+	0.106078i
$708$	−15.5606	−	13.9326i	−0.584802	−	0.523621i
$709$	−1.06119	−	10.0966i	−0.0398540	−	0.379185i	−0.996210	−	0.0869812i	$-0.972278\pi$
$709$	−1.06119	−	10.0966i	−0.0398540	−	0.379185i	0.956356	−	0.292204i	$-0.0943887\pi$
$710$	−10.3841	+	7.54451i	−0.389709	+	0.283140i
$711$	−10.6650	+	3.53098i	−0.399969	+	0.132422i
$712$	13.7812	+	4.47780i	0.516474	+	0.167813i
$713$	−8.84720	−	19.8711i	−0.331330	−	0.744180i
$714$	−0.0114027	−	4.09957i	−0.000426735	−	0.153422i
$715$	13.1759	+	15.3858i	0.492750	+	0.575395i
$716$	−23.4106	+	13.5161i	−0.874895	+	0.505121i
$717$	5.36857	+	3.87773i	0.200493	+	0.144816i
$718$	−7.11922	−	7.90669i	−0.265687	−	0.295075i
$719$	19.4997	−	6.33583i	0.727216	−	0.236287i	0.0780669	−	0.996948i	$-0.475125\pi$
$719$	19.4997	−	6.33583i	0.727216	−	0.236287i	0.649149	+	0.760661i	$0.275125\pi$
$720$	4.84756	−	11.0529i	0.180658	−	0.411916i
$721$	5.97954	+	8.23013i	0.222690	+	0.306506i
$722$	11.3542	+	2.41342i	0.422561	+	0.0898180i
$723$	−0.874368	−	4.05804i	−0.0325181	−	0.150920i
$724$	−2.70869	+	25.7715i	−0.100668	+	0.957789i
$725$	1.42875	+	2.47467i	0.0530625	+	0.0919070i
$726$	−4.51166	−	8.73717i	−0.167443	−	0.324267i
$727$	−1.18025	+	2.04425i	−0.0437731	+	0.0758172i	−0.887082	−	0.461612i	$-0.847271\pi$
$727$	−1.18025	+	2.04425i	−0.0437731	+	0.0758172i	0.843309	+	0.537429i	$0.180605\pi$
$728$	−4.83392	−	3.51205i	−0.179157	−	0.130165i
$729$	7.91378	−	25.8142i	0.293103	−	0.956081i
$730$	−0.492580	−	1.51601i	−0.0182312	−	0.0561099i
$731$	42.9873	−	4.51815i	1.58994	−	0.167110i
$732$	13.0901	−	1.41265i	0.483825	−	0.0522130i
$733$	17.4470	+	15.7093i	0.644418	+	0.580237i	0.925174	−	0.379542i	$-0.123919\pi$
$733$	17.4470	+	15.7093i	0.644418	+	0.580237i	−0.280756	+	0.959779i	$0.590585\pi$
$734$	4.80176	−	1.02065i	0.177236	−	0.0376727i
$735$	17.7110	+	1.81171i	0.653279	+	0.0668258i
$736$	12.2367	+	7.06486i	0.451050	+	0.260414i
$737$	13.0309	−	2.43293i	0.479998	−	0.0896182i
$738$	1.94061	+	3.31846i	0.0714348	+	0.122154i
$739$	8.41298	−	11.5795i	0.309476	−	0.425958i	−0.625742	−	0.780030i	$-0.715204\pi$
$739$	8.41298	−	11.5795i	0.309476	−	0.425958i	0.935218	+	0.354073i	$0.115204\pi$
$740$	6.83507	−	6.15433i	0.251262	−	0.226238i
$741$	13.0529	+	39.7957i	0.479510	+	1.46193i
$742$	0.395021	+	0.175875i	0.0145017	+	0.00645656i
$743$	−28.5612	−	12.7163i	−1.04781	−	0.466515i	−0.190700	−	0.981648i	$-0.561076\pi$
$743$	−28.5612	−	12.7163i	−1.04781	−	0.466515i	−0.857110	+	0.515133i	$0.827742\pi$
$744$	−8.21501	−	25.0460i	−0.301177	−	0.918229i
$745$	24.9938	−	22.5045i	0.915703	−	0.824502i
$746$	−5.53493	+	7.61818i	−0.202648	+	0.278921i
$747$	19.3751	−	0.107782i	0.708897	−	0.00394353i
$748$	28.8316	+	13.7052i	1.05419	+	0.501113i
$749$	11.9087	+	6.87551i	0.435136	+	0.251226i
$750$	10.6387	+	1.08826i	0.388470	+	0.0397377i
$751$	12.5021	−	2.65739i	0.456206	−	0.0969696i	0.0259238	−	0.999664i	$-0.491747\pi$
$751$	12.5021	−	2.65739i	0.456206	−	0.0969696i	0.430283	+	0.902694i	$0.358414\pi$
$752$	9.66708	+	8.70427i	0.352522	+	0.317412i
$753$	−6.16573	+	0.665389i	−0.224692	+	0.0242481i
$754$	−2.34002	+	0.245946i	−0.0852186	+	0.00895684i
$755$	2.12744	+	6.54757i	0.0774253	+	0.238291i
$756$	−7.09552	−	2.24019i	−0.258062	−	0.0814750i
$757$	37.3511	+	27.1372i	1.35755	+	0.986318i	0.998597	+	0.0529625i	$0.0168664\pi$
$757$	37.3511	+	27.1372i	1.35755	+	0.986318i	0.358954	+	0.933355i	$0.383134\pi$
$758$	−3.40419	+	5.89622i	−0.123646	+	0.214160i
$759$	−9.58023	+	12.5918i	−0.347740	+	0.457054i
$760$	−10.0973	−	17.4890i	−0.366266	−	0.634392i
$761$	−0.392088	+	3.73047i	−0.0142132	+	0.135229i	−0.999327	−	0.0366719i	$-0.988324\pi$
$761$	−0.392088	+	3.73047i	−0.0142132	+	0.135229i	0.985114	+	0.171901i	$0.0549910\pi$
$762$	3.19317	+	14.8199i	0.115676	+	0.536867i
$763$	−12.2951	−	2.61340i	−0.445111	−	0.0946113i
$764$	16.8448	+	23.1849i	0.609425	+	0.838801i
$765$	26.9346	−	2.98252i	0.973823	−	0.107833i
$766$	−11.7577	+	3.82032i	−0.424824	+	0.138034i
$767$	−17.4723	−	19.4049i	−0.630887	−	0.700671i
$768$	1.84231	+	1.33071i	0.0664787	+	0.0480177i
$769$	−23.6189	+	13.6364i	−0.851720	+	0.491741i	−0.861231	−	0.508214i	$-0.830306\pi$
$769$	−23.6189	+	13.6364i	−0.851720	+	0.491741i	0.00951064	+	0.999955i	$0.496973\pi$
$770$	−1.19936	+	1.96299i	−0.0432219	+	0.0707413i
$771$	0.110596	+	39.7623i	0.00398303	+	1.43201i
$772$	−5.34661	−	12.0087i	−0.192429	−	0.432202i
$773$	−36.3613	−	11.8145i	−1.30783	−	0.424939i	−0.429529	−	0.903053i	$-0.641320\pi$
$773$	−36.3613	−	11.8145i	−1.30783	−	0.424939i	−0.878298	+	0.478114i	$0.841320\pi$
$774$	−2.44057	+	11.8045i	−0.0877246	+	0.424304i
$775$	−15.0335	+	10.9225i	−0.540019	+	0.392346i
$776$	−0.267208	−	2.54232i	−0.00959222	−	0.0912638i
$777$	−3.47561	−	3.11199i	−0.124687	−	0.111642i
$778$	−0.811610	−	3.81832i	−0.0290976	−	0.136894i
$779$	−15.9051	−	1.67169i	−0.569858	−	0.0598945i
$780$	9.12547	−	15.9078i	0.326744	−	0.569591i
$781$	−48.5903	+	14.4629i	−1.73870	+	0.517525i
$782$			7.89229i			0.282228i
$783$	−5.74321	+	2.61468i	−0.205246	+	0.0934411i
$784$	4.82745	−	14.8574i	0.172409	−	0.530620i
$785$	4.31639	−	20.3070i	0.154058	−	0.724788i
$786$	−1.78979	−	16.5848i	−0.0638397	−	0.591562i
$787$	1.66726	−	3.74473i	0.0594314	−	0.133485i	−0.881388	−	0.472392i	$-0.843391\pi$
$787$	1.66726	−	3.74473i	0.0594314	−	0.133485i	0.940820	+	0.338907i	$0.110057\pi$
$788$	19.3018	−	21.4368i	0.687598	−	0.763655i
$789$	−38.2778	+	8.24755i	−1.36273	+	0.293620i
$790$	2.87264	−	1.27898i	0.102204	−	0.0455042i
$791$	−0.403414			−0.0143438
$792$	−13.1019	+	13.9982i	−0.465555	+	0.497405i
$793$	16.4599			0.584510
$794$	−6.27985	+	2.79597i	−0.222864	+	0.0992252i
$795$	−0.875698	+	2.72085i	−0.0310578	+	0.0964986i
$796$	6.42146	−	7.13175i	0.227602	−	0.252778i
$797$	6.55595	−	14.7249i	0.232224	−	0.521583i	−0.759418	−	0.650603i	$-0.774516\pi$
$797$	6.55595	−	14.7249i	0.232224	−	0.521583i	0.991642	+	0.129020i	$0.0411830\pi$
$798$	−3.84007	+	2.80633i	−0.135937	+	0.0993429i
$799$	−6.07268	+	28.5697i	−0.214836	+	1.01072i
$800$	3.73014	−	11.4802i	0.131880	−	0.405886i
$801$	22.4486	+	2.23326i	0.793182	+	0.0789083i
$802$			0.931916i			0.0329071i
$803$	0.156498	−	6.29406i	0.00552268	−	0.222112i
$804$	−6.02961	−	10.3768i	−0.212648	−	0.365963i
$805$	3.68111	+	0.386900i	0.129742	+	0.0136364i
$806$	−3.18126	−	14.9667i	−0.112055	−	0.527179i
$807$	2.38274	−	11.3653i	0.0838764	−	0.400076i
$808$	−0.703170	−	6.69022i	−0.0247374	−	0.235361i
$809$	−38.8405	+	28.2193i	−1.36556	+	0.992138i	−0.367491	+	0.930027i	$0.619783\pi$
$809$	−38.8405	+	28.2193i	−1.36556	+	0.992138i	−0.998069	+	0.0621108i	$0.980217\pi$
$810$	−1.48892	+	7.40921i	−0.0523152	+	0.260333i
$811$	−28.0208	−	9.10450i	−0.983943	−	0.319702i	−0.227511	−	0.973775i	$-0.573059\pi$
$811$	−28.0208	−	9.10450i	−0.983943	−	0.319702i	−0.756431	+	0.654073i	$0.773059\pi$
$812$	0.707332	+	1.58869i	0.0248225	+	0.0557522i
$813$	4.97633	+	2.85466i	0.174528	+	0.100117i
$814$	−5.15408	+	2.14287i	−0.180650	+	0.0751075i
$815$	9.71315	−	5.60789i	0.340237	−	0.196436i
$816$	2.41978	−	23.6554i	0.0847091	−	0.828104i
$817$	−33.5551	−	37.2667i	−1.17395	−	1.30380i
$818$	−0.905764	+	0.294301i	−0.0316693	+	0.0102900i
$819$	−8.51894	−	3.73623i	−0.297676	−	0.130554i
$820$	4.11623	+	5.66551i	0.143745	+	0.197848i
$821$	−2.37698	−	0.505244i	−0.0829573	−	0.0176331i	0.166246	−	0.986084i	$-0.446835\pi$
$821$	−2.37698	−	0.505244i	−0.0829573	−	0.0176331i	−0.249203	+	0.968451i	$0.580169\pi$
$822$	13.5533	+	4.36211i	0.472727	+	0.152146i
$823$	4.09222	−	38.9349i	0.142646	−	1.35718i	−0.655717	−	0.755007i	$-0.727634\pi$
$823$	4.09222	−	38.9349i	0.142646	−	1.35718i	0.798363	−	0.602177i	$-0.205700\pi$
$824$	−11.8663	−	20.5530i	−0.413382	−	0.715999i
$825$	12.2237	+	5.76898i	0.425575	+	0.200850i
$826$	1.48267	−	2.56807i	0.0515888	−	0.0893544i
$827$	23.8824	+	17.3516i	0.830472	+	0.603373i	0.919693	−	0.392638i	$-0.128438\pi$
$827$	23.8824	+	17.3516i	0.830472	+	0.603373i	−0.0892206	+	0.996012i	$0.528438\pi$
$828$	13.6479	+	4.35067i	0.474296	+	0.151196i
$829$	15.5781	+	47.9446i	0.541051	+	1.66518i	0.730199	+	0.683235i	$0.239427\pi$
$829$	15.5781	+	47.9446i	0.541051	+	1.66518i	−0.189148	+	0.981949i	$0.560573\pi$
$830$	−5.39348	+	0.566878i	−0.187210	+	0.0196766i
$831$	−10.8556	+	24.5657i	−0.376576	+	0.852174i
$832$	−6.40994	−	5.77154i	−0.222225	−	0.200092i
$833$	34.3099	−	7.29280i	1.18877	−	0.252681i
$834$	−7.56719	−	16.8698i	−0.262031	−	0.584152i
$835$	−22.6739	−	13.0908i	−0.784661	−	0.453024i
$836$	−6.79744	−	36.4073i	−0.235094	−	1.25917i
$837$	−20.8141	−	35.3663i	−0.719441	−	1.22244i
$838$	4.15085	−	5.71315i	0.143389	−	0.197358i
$839$	2.70226	−	2.43312i	0.0932922	−	0.0840007i	−0.621165	−	0.783680i	$-0.713340\pi$
$839$	2.70226	−	2.43312i	0.0932922	−	0.0840007i	0.714457	+	0.699679i	$0.246674\pi$
$840$	4.38992	+	0.920351i	0.151467	+	0.0317551i
$841$	−25.1455	−	11.1955i	−0.867085	−	0.386051i
$842$	−1.49123	−	0.663940i	−0.0513913	−	0.0228809i
$843$	−32.7074	+	36.5291i	−1.12650	+	1.25813i
$844$	7.69737	−	6.93074i	0.264954	−	0.238566i
$845$	1.04432	−	1.43739i	0.0359258	−	0.0494476i
$846$	−7.07667	−	4.03340i	−0.243301	−	0.138671i
$847$	−7.04601	+	5.73663i	−0.242104	+	0.197113i
$848$	2.17206	+	1.25404i	0.0745887	+	0.0430638i
$849$	−11.0307	+	15.2716i	−0.378572	+	0.524119i
$850$	6.59502	−	1.40182i	0.226207	−	0.0480819i
$851$	6.67436	+	6.00962i	0.228794	+	0.206007i
$852$	27.0819	+	37.0579i	0.927811	+	1.26958i
$853$	−32.5365	+	3.41972i	−1.11403	+	0.117089i	−0.643609	−	0.765354i	$-0.722564\pi$
$853$	−32.5365	+	3.41972i	−1.11403	+	0.117089i	−0.470419	+	0.882443i	$0.655897\pi$
$854$	0.577628	+	1.77776i	0.0197660	+	0.0608335i
$855$	−21.1670	−	23.2469i	−0.723895	−	0.795027i
$856$	−25.9531	−	18.8560i	−0.887057	−	0.644485i
$857$	3.49727	−	6.05745i	0.119464	−	0.206918i	−0.800091	−	0.599878i	$-0.795216\pi$
$857$	3.49727	−	6.05745i	0.119464	−	0.206918i	0.919556	+	0.392960i	$0.128549\pi$
$858$	−8.43346	+	7.26290i	−0.287914	+	0.247951i
$859$	1.76656	+	3.05978i	0.0602744	+	0.104398i	0.894588	−	0.446892i	$-0.147469\pi$
$859$	1.76656	+	3.05978i	0.0602744	+	0.104398i	−0.834314	+	0.551290i	$0.814136\pi$
$860$	−2.29532	+	21.8385i	−0.0782697	+	0.744686i
$861$	2.63310	−	2.38415i	0.0897358	−	0.0812515i
$862$	0.532547	+	0.113196i	0.0181386	+	0.00385548i
$863$	15.8737	+	21.8483i	0.540347	+	0.743724i	0.988663	−	0.150151i	$-0.0479761\pi$
$863$	15.8737	+	21.8483i	0.540347	+	0.743724i	−0.448316	+	0.893875i	$0.647976\pi$
$864$	24.4420	+	10.6388i	0.831535	+	0.361940i
$865$	−13.9670	+	4.53814i	−0.474891	+	0.154301i
$866$	−9.05642	−	10.0582i	−0.307750	−	0.341791i
$867$	21.8489	−	9.80068i	0.742028	−	0.332848i
$868$	−9.79389	+	5.65451i	−0.332426	+	0.191926i
$869$	12.3804	−	0.990815i	0.419977	−	0.0336111i
$870$	1.52719	−	0.887394i	0.0517764	−	0.0300855i
$871$	−6.10264	−	13.7067i	−0.206780	−	0.464435i
$872$	27.8887	+	9.06160i	0.944432	+	0.306864i
$873$	−1.25086	−	3.77811i	−0.0423352	−	0.127870i
$874$	7.40769	−	5.38200i	0.250569	−	0.182049i
$875$	−1.03290	−	9.82735i	−0.0349183	−	0.332225i
$876$	−5.41623	+	1.77651i	−0.182997	+	0.0600227i
$877$	3.75724	+	17.6764i	0.126873	+	0.596891i	0.994942	+	0.100448i	$0.0320276\pi$
$877$	3.75724	+	17.6764i	0.126873	+	0.596891i	−0.868069	+	0.496443i	$0.834639\pi$
$878$	−2.90260	−	0.305076i	−0.0979580	−	0.0102958i
$879$	−26.8954	+	0.0748079i	−0.907160	+	0.00252321i
$880$	−8.10869	+	10.5964i	−0.273344	+	0.357205i
$881$		−	17.9586i		−	0.605041i	−0.953143	−	0.302521i	$-0.902172\pi$
$881$		−	17.9586i		−	0.605041i	0.953143	−	0.302521i	$-0.0978282\pi$
$882$	−0.968362	+	9.73393i	−0.0326064	+	0.327758i
$883$	−15.2033	+	46.7910i	−0.511632	+	1.57464i	0.277696	+	0.960669i	$0.410429\pi$
$883$	−15.2033	+	46.7910i	−0.511632	+	1.57464i	−0.789328	+	0.613972i	$0.789571\pi$
$884$	7.51236	−	35.3429i	0.252668	−	1.18871i
$885$	17.9291	+	7.92288i	0.602681	+	0.266325i
$886$	3.90038	−	8.76040i	0.131036	−	0.294311i
$887$	−18.5842	+	20.6399i	−0.623997	+	0.693019i	−0.969414	−	0.245431i	$-0.921071\pi$
$887$	−18.5842	+	20.6399i	−0.623997	+	0.693019i	0.345417	+	0.938449i	$0.387737\pi$
$888$	7.30496	+	8.06774i	0.245138	+	0.270736i
$889$	12.7968	−	5.69752i	0.429193	−	0.191089i
$890$	−6.31440			−0.211659
$891$	−15.2784	+	25.6431i	−0.511846	+	0.859077i
$892$	−21.9157			−0.733791
$893$	30.9566	−	13.7828i	1.03592	−	0.461223i
$894$	12.4032	+	13.6983i	0.414823	+	0.458139i
$895$	16.9753	−	18.8530i	0.567422	−	0.630186i
$896$	3.84550	−	8.63714i	0.128469	−	0.288547i
$897$	16.3801	+	7.23837i	0.546916	+	0.241682i
$898$	−0.301954	+	1.42058i	−0.0100763	+	0.0474055i
$899$	−2.96378	+	9.12158i	−0.0988476	+	0.304222i
$900$	1.21144	−	12.1773i	0.0403812	−	0.405910i
$901$			5.63145i			0.187611i
$902$	−1.21244	−	4.07335i	−0.0403697	−	0.135628i
$903$	11.1381	−	0.0309798i	0.370652	−	0.00103094i
$904$	0.935969	+	0.0983743i	0.0311299	+	0.00327188i
$905$	−5.05626	−	23.7878i	−0.168076	−	0.790734i
$906$	−3.59427	+	1.17891i	−0.119411	+	0.0391667i
$907$	−2.16260	−	20.5758i	−0.0718080	−	0.683208i	−0.969917	−	0.243435i	$-0.921726\pi$
$907$	−2.16260	−	20.5758i	−0.0718080	−	0.683208i	0.898109	−	0.439773i	$-0.144941\pi$
$908$	9.09719	−	6.60950i	0.301901	−	0.219344i
$909$	−3.29170	−	9.94227i	−0.109179	−	0.329764i
$910$	2.47627	+	0.804590i	0.0820876	+	0.0266719i
$911$	−6.30383	−	14.1586i	−0.208855	−	0.469096i	0.778495	−	0.627651i	$-0.215983\pi$
$911$	−6.30383	−	14.1586i	−0.208855	−	0.469096i	−0.987350	+	0.158554i	$0.949317\pi$
$912$	−23.8530	+	13.8601i	−0.789852	+	0.458955i
$913$	−20.8350	−	4.97295i	−0.689539	−	0.164581i
$914$	5.17605	−	2.98839i	0.171208	−	0.0988472i
$915$	−11.2739	+	5.05708i	−0.372703	+	0.167182i
$916$	31.1428	+	34.5876i	1.02899	+	1.14281i
$917$	−14.6591	+	4.76302i	−0.484085	+	0.157289i
$918$	1.67989	+	14.7945i	0.0554445	+	0.488290i
$919$	−3.57067	−	4.91460i	−0.117785	−	0.162118i	0.746053	−	0.665886i	$-0.231946\pi$
$919$	−3.57067	−	4.91460i	−0.117785	−	0.162118i	−0.863839	+	0.503769i	$0.831946\pi$
$920$	−8.44626	−	1.79531i	−0.278465	−	0.0591896i
$921$	−4.81563	+	4.36033i	−0.158680	+	0.143678i
$922$	2.02970	−	19.3113i	0.0668447	−	0.635984i
$923$	28.6908	+	49.6940i	0.944371	+	1.63570i
$924$	7.03145	+	4.26930i	0.231318	+	0.140450i
$925$	3.83633	−	6.64471i	0.126138	−	0.218477i
$926$	3.66315	+	2.66143i	0.120379	+	0.0874601i
$927$	−24.8754	−	27.3198i	−0.817015	−	0.897299i
$928$	−1.92525	−	5.92531i	−0.0631994	−	0.194508i
$929$	52.9498	−	5.56525i	1.73723	−	0.182590i	0.817707	−	0.575635i	$-0.195245\pi$
$929$	52.9498	−	5.56525i	1.73723	−	0.182590i	0.919519	+	0.393045i	$0.128578\pi$
$930$	6.77723	+	9.27370i	0.222234	+	0.304097i
$931$	−30.2420	−	27.2301i	−0.991143	−	0.892429i
$932$	−28.4415	+	6.04544i	−0.931634	+	0.198025i
$933$	7.56913	−	10.4792i	0.247802	−	0.343073i
$934$	−2.25511	−	1.30199i	−0.0737895	−	0.0426024i
$935$	−29.7082	−	3.87125i	−0.971561	−	0.126603i
$936$	18.8539	+	10.7459i	0.616258	+	0.351240i
$937$	12.8662	−	17.7089i	0.420322	−	0.578523i	−0.545376	−	0.838191i	$-0.683613\pi$
$937$	12.8662	−	17.7089i	0.420322	−	0.578523i	0.965698	+	0.259668i	$0.0836131\pi$
$938$	1.26624	−	1.14013i	0.0413441	−	0.0372264i
$939$	−5.69165	+	6.35669i	−0.185740	+	0.207443i
$940$	−13.5554	−	6.03527i	−0.442130	−	0.196849i
$941$	0.175135	+	0.0779752i	0.00570924	+	0.00254192i	0.409589	−	0.912270i	$-0.365672\pi$
$941$	0.175135	+	0.0779752i	0.00570924	+	0.00254192i	−0.403880	+	0.914812i	$0.632339\pi$
$942$	11.1641	+	2.34057i	0.363747	+	0.0762600i
$943$	−5.08184	+	4.57571i	−0.165488	+	0.149006i
$944$	10.1099	−	13.9150i	0.329048	−	0.452895i
$945$	6.98277	−	0.0582676i	0.227149	−	0.00189544i
$946$	5.72126	−	12.0358i	0.186014	−	0.391316i
$947$	30.6522	+	17.6971i	0.996063	+	0.575077i	0.907081	−	0.420956i	$-0.138305\pi$
$947$	30.6522	+	17.6971i	0.996063	+	0.575077i	0.0889816	+	0.996033i	$0.471639\pi$
$948$	−4.60213	−	10.2597i	−0.149470	−	0.333218i
$949$	−6.97043	+	1.48161i	−0.226270	+	0.0480951i
$950$	−5.81310	−	5.23414i	−0.188602	−	0.169818i
$951$	7.13577	−	16.1479i	0.231393	−	0.523633i
$952$	8.78869	−	0.923729i	0.284843	−	0.0299382i
$953$	−6.08275	−	18.7208i	−0.197039	−	0.606425i	−0.999947	−	0.0103211i	$-0.996715\pi$
$953$	−6.08275	−	18.7208i	−0.197039	−	0.606425i	0.802907	−	0.596104i	$-0.203285\pi$
$954$	−1.49629	−	0.476988i	−0.0484441	−	0.0154431i
$955$	−21.7586	−	15.8086i	−0.704092	−	0.511553i
$956$	−3.31429	+	5.74053i	−0.107192	+	0.185662i
$957$	6.85431	−	1.29948i	0.221568	−	0.0420061i
$958$	0.0932314	+	0.161482i	0.00301217	+	0.00521723i
$959$	1.37518	−	13.0839i	0.0444068	−	0.422502i
$960$	6.16357	+	1.98373i	0.198929	+	0.0640246i
$961$	−30.6849	−	6.52228i	−0.989836	−	0.210396i
$962$	3.71350	+	5.11119i	0.119728	+	0.164791i
$963$	−45.7377	−	20.0596i	−1.47388	−	0.646412i
$964$	3.95159	−	1.28395i	0.127272	−	0.0413533i
$965$	8.25470	+	9.16778i	0.265728	+	0.295121i
$966$	−0.206954	+	2.02315i	−0.00665863	+	0.0650938i
$967$	−14.8230	+	8.55809i	−0.476677	+	0.275209i	−0.719031	−	0.694978i	$-0.755414\pi$
$967$	−14.8230	+	8.55809i	−0.476677	+	0.275209i	0.242354	+	0.970188i	$0.422081\pi$
$968$	17.7465	−	11.5915i	0.570394	−	0.372564i
$969$	−53.7301	−	30.8222i	−1.72606	−	0.990151i
$970$	0.453084	+	1.01764i	0.0145476	+	0.0326746i
$971$	22.7395	+	7.38851i	0.729746	+	0.237109i	0.650243	−	0.759726i	$-0.274667\pi$
$971$	22.7395	+	7.38851i	0.729746	+	0.237109i	0.0795022	+	0.996835i	$0.474667\pi$
$972$	26.5096	+	5.25057i	0.850296	+	0.168412i
$973$	−13.8214	+	10.0418i	−0.443092	+	0.321925i
$974$	0.511130	+	4.86307i	0.0163777	+	0.155823i
$975$	3.13918	−	14.9734i	0.100534	−	0.479531i
$976$	2.25421	+	10.6052i	0.0721556	+	0.339466i
$977$	−24.1684	−	2.54020i	−0.773216	−	0.0812683i	−0.290301	−	0.956935i	$-0.593755\pi$
$977$	−24.1684	−	2.54020i	−0.773216	−	0.0812683i	−0.482915	+	0.875667i	$0.660422\pi$
$978$	3.09606	+	5.32825i	0.0990010	+	0.170379i
$979$	−23.5208	−	8.29421i	−0.751728	−	0.265084i
$980$			17.8196i			0.569226i
$981$	45.4286	+	4.51938i	1.45042	+	0.144293i
$982$	−0.621556	+	1.91295i	−0.0198346	+	0.0610448i
$983$	−6.24505	+	29.3806i	−0.199186	+	0.937097i	0.759031	+	0.651055i	$0.225673\pi$
$983$	−6.24505	+	29.3806i	−0.199186	+	0.937097i	−0.958217	+	0.286042i	$0.907660\pi$
$984$	−6.69049	+	4.88942i	−0.213285	+	0.155869i
$985$	−11.0110	+	24.7310i	−0.350838	+	0.787996i
$986$	2.32855	−	2.58611i	0.0741560	−	0.0823586i
$987$	−2.30587	+	7.16447i	−0.0733965	+	0.228048i
$988$	−38.2957	+	17.0503i	−1.21835	+	0.542443i
$989$	−21.4425			−0.681831
$990$	3.54490	−	7.56563i	0.112664	−	0.240451i
$991$	34.4544			1.09448			0.547240	−	0.836976i	$-0.315679\pi$
$991$	34.4544			1.09448			0.547240	+	0.836976i	$0.315679\pi$
$992$	37.0126	−	16.4791i	1.17515	−	0.523211i
$993$	34.2462	−	7.37886i	1.08677	−	0.234161i
$994$	−4.36035	+	4.84266i	−0.138302	+	0.153600i
$995$	−3.66321	+	8.22769i	−0.116131	+	0.260835i
$996$	2.08076	+	19.2811i	0.0659314	+	0.610944i
$997$	9.05105	−	42.5818i	0.286650	−	1.34858i	−0.565269	−	0.824907i	$-0.691228\pi$
$997$	9.05105	−	42.5818i	0.286650	−	1.34858i	0.851919	−	0.523674i	$-0.175439\pi$
$998$	−1.16449	+	3.58393i	−0.0368612	+	0.113447i
$999$	13.7906	+	9.84468i	0.436314	+	0.311472i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.29.7	✓	80
3.2	odd	2		297.2.t.a.62.4		80
9.2	odd	6		891.2.k.a.161.12		80
9.4	even	3		297.2.t.a.260.4		80
9.5	odd	6	inner	99.2.p.a.95.7	yes	80
9.7	even	3		891.2.k.a.161.9		80
11.8	odd	10	inner	99.2.p.a.74.7	yes	80
33.8	even	10		297.2.t.a.8.4		80
99.41	even	30	inner	99.2.p.a.41.7	yes	80
99.52	odd	30		891.2.k.a.404.12		80
99.74	even	30		891.2.k.a.404.9		80
99.85	odd	30		297.2.t.a.206.4		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.7	✓	80	1.1	even	1	trivial
99.2.p.a.41.7	yes	80	99.41	even	30	inner
99.2.p.a.74.7	yes	80	11.8	odd	10	inner
99.2.p.a.95.7	yes	80	9.5	odd	6	inner
297.2.t.a.8.4		80	33.8	even	10
297.2.t.a.62.4		80	3.2	odd	2
297.2.t.a.206.4		80	99.85	odd	30
297.2.t.a.260.4		80	9.4	even	3
891.2.k.a.161.9		80	9.7	even	3
891.2.k.a.161.12		80	9.2	odd	6
891.2.k.a.404.9		80	99.74	even	30
891.2.k.a.404.12		80	99.52	odd	30

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:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.471493 - 0.209922i) q^{2} +(1.16254 + 1.28394i) q^{3} +(-1.16002 + 1.28834i) q^{4} +(0.661751 - 1.48632i) q^{5} +(0.817657 + 0.361323i) q^{6} +(0.171735 - 0.807949i) q^{7} +(-0.595467 + 1.83266i) q^{8} +(-0.296983 + 2.98526i) q^{9} -0.839703i q^{10} +(1.10298 - 3.12785i) q^{11} +(-3.00272 + 0.00835187i) q^{12} +(-3.73337 - 0.392393i) q^{13} +(-0.0886346 - 0.416993i) q^{14} +(2.67765 - 0.878262i) q^{15} +(-0.258470 - 2.45917i) q^{16} +(4.49172 - 3.26342i) q^{17} +(0.486647 + 1.46987i) q^{18} +(-6.12609 - 1.99049i) q^{19} +(1.14723 + 2.57672i) q^{20} +(1.23700 - 0.718780i) q^{21} +(-0.136556 - 1.70630i) q^{22} +(-2.38525 + 1.37713i) q^{23} +(-3.04528 + 1.36601i) q^{24} +(1.57443 + 1.74858i) q^{25} +(-1.84263 + 0.598706i) q^{26} +(-4.17814 + 3.08919i) q^{27} +(0.841694 + 1.15849i) q^{28} +(1.18790 + 0.252495i) q^{29} +(1.07813 - 0.976192i) q^{30} +(-0.825513 + 7.85423i) q^{31} +(-2.56507 - 4.44284i) q^{32} +(5.29822 - 2.22010i) q^{33} +(1.43275 - 2.48159i) q^{34} +(-1.08722 - 0.789913i) q^{35} +(-3.50152 - 3.84559i) q^{36} +(-1.00766 - 3.10127i) q^{37} +(-3.30625 + 0.347501i) q^{38} +(-3.83640 - 5.24958i) q^{39} +(2.32986 + 2.09782i) q^{40} +(2.42856 - 0.516206i) q^{41} +(0.432351 - 0.598574i) q^{42} +(6.74220 + 3.89261i) q^{43} +(2.75023 + 5.04939i) q^{44} +(4.24052 + 2.41691i) q^{45} +(-0.835539 + 1.15002i) q^{46} +(-3.90949 + 3.52012i) q^{47} +(2.85694 - 3.19076i) q^{48} +(5.77153 + 2.56965i) q^{49} +(1.10940 + 0.493936i) q^{50} +(9.41184 + 1.97320i) q^{51} +(4.83633 - 4.35465i) q^{52} +(-0.596190 + 0.820584i) q^{53} +(-1.32147 + 2.33362i) q^{54} +(-3.91907 - 3.70924i) q^{55} +(1.37843 + 0.795839i) q^{56} +(-4.56619 - 10.1795i) q^{57} +(0.613089 - 0.130316i) q^{58} +(5.16922 + 4.65438i) q^{59} +(-1.97464 + 4.46852i) q^{60} +(-4.36070 + 0.458328i) q^{61} +(1.25955 + 3.87650i) q^{62} +(2.36094 + 0.752621i) q^{63} +(1.85888 + 1.35056i) q^{64} +(-3.05378 + 5.28930i) q^{65} +(2.03202 - 2.15897i) q^{66} +(1.99842 + 3.46137i) q^{67} +(-1.00611 + 9.57249i) q^{68} +(-4.54110 - 1.46154i) q^{69} +(-0.678437 - 0.144206i) q^{70} +(-8.98474 - 12.3664i) q^{71} +(-5.29413 - 2.32190i) q^{72} +(1.80541 - 0.586612i) q^{73} +(-1.12613 - 1.25069i) q^{74} +(-0.414723 + 4.05427i) q^{75} +(9.67082 - 5.58345i) q^{76} +(-2.33772 - 1.42831i) q^{77} +(-2.91084 - 1.66979i) q^{78} +(1.52314 + 3.42102i) q^{79} +(-3.82615 - 1.24319i) q^{80} +(-8.82360 - 1.77315i) q^{81} +(1.03668 - 0.753195i) q^{82} +(-0.675093 - 6.42308i) q^{83} +(-0.508924 + 2.42748i) q^{84} +(-1.87808 - 8.83568i) q^{85} +(3.99604 + 0.420001i) q^{86} +(1.05679 + 1.81872i) q^{87} +(5.07549 + 3.88392i) q^{88} -7.51980i q^{89} +(2.50674 + 0.249378i) q^{90} +(-0.958184 + 2.94899i) q^{91} +(0.992746 - 4.67050i) q^{92} +(-11.0440 + 8.07098i) q^{93} +(-1.10434 + 2.48040i) q^{94} +(-7.01244 + 7.78810i) q^{95} +(2.72231 - 8.45839i) q^{96} +(-1.21191 + 0.539576i) q^{97} +3.26066 q^{98} +(9.00988 + 4.22161i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Introduction

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