LMFDB - Embedded newform 216.2.v.b.11.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [216,2,Mod(11,216)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(216, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 9, 13]))

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

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

chi := DirichletCharacter("216.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 216 = 2^{3} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	216.v (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.72476868366$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$32$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			11.26
Character	$\chi$	$=$	216.11
Dual form			216.2.v.b.59.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.12537 + 0.856465i) q^{2} +(0.130423 - 1.72713i) q^{3} +(0.532936 + 1.92769i) q^{4} +(-0.588722 - 0.214277i) q^{5} +(1.62600 - 1.83197i) q^{6} +(4.57427 + 0.806567i) q^{7} +(-1.05124 + 2.62581i) q^{8} +(-2.96598 - 0.450516i) q^{9} +(-0.479012 - 0.745362i) q^{10} +(-1.37081 - 3.76628i) q^{11} +(3.39888 - 0.669037i) q^{12} +(0.583330 + 0.695185i) q^{13} +(4.45697 + 4.82539i) q^{14} +(-0.446868 + 0.988855i) q^{15} +(-3.43196 + 2.05467i) q^{16} +(2.52763 - 1.45933i) q^{17} +(-2.95199 - 3.04726i) q^{18} +(-2.50619 + 4.34085i) q^{19} +(0.0993086 - 1.24907i) q^{20} +(1.98964 - 7.79518i) q^{21} +(1.68301 - 5.41253i) q^{22} +(0.819150 + 4.64563i) q^{23} +(4.39802 + 2.15810i) q^{24} +(-3.52954 - 2.96164i) q^{25} +(0.0610627 + 1.28195i) q^{26} +(-1.16493 + 5.06389i) q^{27} +(0.882983 + 9.24761i) q^{28} +(-6.21586 - 5.21572i) q^{29} +(-1.34981 + 0.730105i) q^{30} +(-4.29253 + 0.756889i) q^{31} +(-5.62199 - 0.627081i) q^{32} +(-6.68365 + 1.87637i) q^{33} +(4.09440 + 0.522536i) q^{34} +(-2.52015 - 1.45501i) q^{35} +(-0.712224 - 5.95758i) q^{36} +(-3.72940 + 2.15317i) q^{37} +(-6.53819 + 2.73862i) q^{38} +(1.27676 - 0.916820i) q^{39} +(1.18154 - 1.32062i) q^{40} +(-5.41092 - 6.44848i) q^{41} +(8.91539 - 7.06844i) q^{42} +(5.48086 - 1.99487i) q^{43} +(6.52965 - 4.64969i) q^{44} +(1.64960 + 0.900771i) q^{45} +(-3.05697 + 5.92965i) q^{46} +(-1.38464 + 7.85268i) q^{47} +(3.10108 + 6.19543i) q^{48} +(13.6955 + 4.98477i) q^{49} +(-1.43552 - 6.35588i) q^{50} +(-2.19079 - 4.55589i) q^{51} +(-1.02922 + 1.49497i) q^{52} +3.06833 q^{53} +(-5.64803 + 4.70104i) q^{54} +2.51103i q^{55} +(-6.92657 + 11.1633i) q^{56} +(7.17036 + 4.89467i) q^{57} +(-2.52808 - 11.1933i) q^{58} +(-0.537968 + 1.47805i) q^{59} +(-2.14436 - 0.334426i) q^{60} +(3.32732 + 0.586696i) q^{61} +(-5.47895 - 2.82462i) q^{62} +(-13.2038 - 4.45304i) q^{63} +(-5.78977 - 5.52074i) q^{64} +(-0.194457 - 0.534265i) q^{65} +(-9.12866 - 3.61270i) q^{66} +(9.02325 - 7.57140i) q^{67} +(4.16020 + 4.09475i) q^{68} +(8.13046 - 0.808885i) q^{69} +(-1.58995 - 3.79584i) q^{70} +(3.19304 + 5.53051i) q^{71} +(4.30094 - 7.31450i) q^{72} +(-2.18272 + 3.78059i) q^{73} +(-6.04108 - 0.770976i) q^{74} +(-5.57548 + 5.70973i) q^{75} +(-9.70344 - 2.51776i) q^{76} +(-3.23271 - 18.3336i) q^{77} +(2.22205 + 0.0617317i) q^{78} +(5.52630 - 6.58598i) q^{79} +(2.46074 - 0.474238i) q^{80} +(8.59407 + 2.67244i) q^{81} +(-0.566412 - 11.8912i) q^{82} +(6.42426 - 7.65613i) q^{83} +(16.0870 - 0.318929i) q^{84} +(-1.80077 + 0.317525i) q^{85} +(7.87656 + 2.44919i) q^{86} +(-9.81894 + 10.0554i) q^{87} +(11.3306 + 0.359781i) q^{88} +(-1.88520 - 1.08842i) q^{89} +(1.08494 + 2.42653i) q^{90} +(2.10759 + 3.65046i) q^{91} +(-8.51877 + 4.05489i) q^{92} +(0.747404 + 7.51249i) q^{93} +(-8.28379 + 7.65132i) q^{94} +(2.40560 - 2.01853i) q^{95} +(-1.81629 + 9.62814i) q^{96} +(-0.312612 + 0.113782i) q^{97} +(11.1433 + 17.3395i) q^{98} +(2.36904 + 11.7883i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 6 q^{2} - 12 q^{3} - 6 q^{4} - 6 q^{6} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 30 q^{11} - 3 q^{12} + 9 q^{14} - 6 q^{16} - 18 q^{17} + 63 q^{18} - 6 q^{19} - 27 q^{20} - 18 q^{22} - 30 q^{24} - 12 q^{25}+ \cdots - 12 q^{99}+O(q^{100}) $ 192 * q - 6 * q^2 - 12 * q^3 - 6 * q^4 - 6 * q^6 - 9 * q^8 - 12 * q^9 - 3 * q^10 - 30 * q^11 - 3 * q^12 + 9 * q^14 - 6 * q^16 - 18 * q^17 + 63 * q^18 - 6 * q^19 - 27 * q^20 - 18 * q^22 - 30 * q^24 - 12 * q^25 + 18 * q^27 - 12 * q^28 - 21 * q^30 - 36 * q^32 - 30 * q^33 + 12 * q^34 - 18 * q^35 - 36 * q^36 - 102 * q^38 + 9 * q^40 + 18 * q^41 - 6 * q^42 - 42 * q^43 - 81 * q^44 - 3 * q^46 - 81 * q^48 - 12 * q^49 + 57 * q^50 - 18 * q^51 + 21 * q^52 + 78 * q^54 - 69 * q^56 - 36 * q^57 - 33 * q^58 - 84 * q^59 - 54 * q^60 + 90 * q^62 - 51 * q^64 - 12 * q^65 + 87 * q^66 + 30 * q^67 + 63 * q^68 - 33 * q^70 + 12 * q^72 - 6 * q^73 + 51 * q^74 - 96 * q^75 + 30 * q^76 + 90 * q^78 - 12 * q^81 - 12 * q^82 - 72 * q^83 - 48 * q^84 + 42 * q^86 - 78 * q^88 + 144 * q^89 + 120 * q^90 - 6 * q^91 - 3 * q^92 - 33 * q^94 - 78 * q^96 - 42 * q^97 + 162 * q^98 - 12 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/216\mathbb{Z}\right)^\times$.

$n$	$55$	$109$	$137$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{18}\right)$

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 $

$2$	1.12537	+	0.856465i	0.795760	+	0.605612i
$2$	1.12537	+	0.856465i	0.795760	+	0.605612i
$3$	0.130423	−	1.72713i	0.0752997	−	0.997161i
$3$	0.130423	−	1.72713i	0.0752997	−	0.997161i
$4$	0.532936	+	1.92769i	0.266468	+	0.963844i
$5$	−0.588722	−	0.214277i	−0.263285	−	0.0958277i	0.207005	−	0.978340i	$-0.433628\pi$
$5$	−0.588722	−	0.214277i	−0.263285	−	0.0958277i	−0.470290	+	0.882512i	$0.655851\pi$
$6$	1.62600	−	1.83197i	0.663813	−	0.747898i
$7$	4.57427	+	0.806567i	1.72891	+	0.304854i	0.947641	−	0.319339i	$-0.103461\pi$
$7$	4.57427	+	0.806567i	1.72891	+	0.304854i	0.781271	+	0.624192i	$0.214572\pi$
$8$	−1.05124	+	2.62581i	−0.371671	+	0.928365i
$9$	−2.96598	−	0.450516i	−0.988660	−	0.150172i
$10$	−0.479012	−	0.745362i	−0.151477	−	0.235704i
$11$	−1.37081	−	3.76628i	−0.413316	−	1.13558i	−0.955416	−	0.295262i	$-0.904593\pi$
$11$	−1.37081	−	3.76628i	−0.413316	−	1.13558i	0.542100	−	0.840314i	$-0.317629\pi$
$12$	3.39888	−	0.669037i	0.981172	−	0.193134i
$13$	0.583330	+	0.695185i	0.161787	+	0.192810i	0.840847	−	0.541272i	$-0.182057\pi$
$13$	0.583330	+	0.695185i	0.161787	+	0.192810i	−0.679061	+	0.734082i	$0.737613\pi$
$14$	4.45697	+	4.82539i	1.19118	+	1.28964i
$15$	−0.446868	+	0.988855i	−0.115381	+	0.255321i
$16$	−3.43196	+	2.05467i	−0.857990	+	0.513667i
$17$	2.52763	−	1.45933i	0.613041	−	0.353939i	−0.161114	−	0.986936i	$-0.551509\pi$
$17$	2.52763	−	1.45933i	0.613041	−	0.353939i	0.774155	+	0.632997i	$0.218175\pi$
$18$	−2.95199	−	3.04726i	−0.695790	−	0.718245i
$19$	−2.50619	+	4.34085i	−0.574959	+	0.995859i	0.421087	+	0.907020i	$0.361649\pi$
$19$	−2.50619	+	4.34085i	−0.574959	+	0.995859i	−0.996046	+	0.0888386i	$0.971684\pi$
$20$	0.0993086	−	1.24907i	0.0222061	−	0.279300i
$21$	1.98964	−	7.79518i	0.434175	−	1.70105i
$22$	1.68301	−	5.41253i	0.358818	−	1.15396i
$23$	0.819150	+	4.64563i	0.170805	+	0.968681i	0.942876	+	0.333145i	$0.108110\pi$
$23$	0.819150	+	4.64563i	0.170805	+	0.968681i	−0.772071	+	0.635536i	$0.780779\pi$
$24$	4.39802	+	2.15810i	0.897742	+	0.440521i
$25$	−3.52954	−	2.96164i	−0.705909	−	0.592328i
$26$	0.0610627	+	1.28195i	0.0119754	+	0.251410i
$27$	−1.16493	+	5.06389i	−0.224191	+	0.974545i
$28$	0.882983	+	9.24761i	0.166868	+	1.74763i
$29$	−6.21586	−	5.21572i	−1.15426	−	0.968535i	−0.154445	−	0.988001i	$-0.549359\pi$
$29$	−6.21586	−	5.21572i	−1.15426	−	0.968535i	−0.999811	+	0.0194661i	$0.993803\pi$
$30$	−1.34981	+	0.730105i	−0.246441	+	0.133298i
$31$	−4.29253	+	0.756889i	−0.770961	+	0.135941i	−0.545273	−	0.838258i	$-0.683574\pi$
$31$	−4.29253	+	0.756889i	−0.770961	+	0.135941i	−0.225688	+	0.974200i	$0.572463\pi$
$32$	−5.62199	−	0.627081i	−0.993837	−	0.110853i
$33$	−6.68365	+	1.87637i	−1.16347	+	0.326634i
$34$	4.09440	+	0.522536i	0.702183	+	0.0896142i
$35$	−2.52015	−	1.45501i	−0.425982	−	0.245941i
$36$	−0.712224	−	5.95758i	−0.118704	−	0.992930i
$37$	−3.72940	+	2.15317i	−0.613109	+	0.353979i	−0.774181	−	0.632964i	$-0.781838\pi$
$37$	−3.72940	+	2.15317i	−0.613109	+	0.353979i	0.161072	+	0.986943i	$0.448505\pi$
$38$	−6.53819	+	2.73862i	−1.06063	+	0.444262i
$39$	1.27676	−	0.916820i	0.204445	−	0.146809i
$40$	1.18154	−	1.32062i	0.186818	−	0.208808i
$41$	−5.41092	−	6.44848i	−0.845043	−	1.00708i	−0.999817	−	0.0191334i	$-0.993909\pi$
$41$	−5.41092	−	6.44848i	−0.845043	−	1.00708i	0.154774	−	0.987950i	$-0.450535\pi$
$42$	8.91539	−	7.06844i	1.37567	−	1.09068i
$43$	5.48086	−	1.99487i	0.835823	−	0.304215i	0.111577	−	0.993756i	$-0.464410\pi$
$43$	5.48086	−	1.99487i	0.835823	−	0.304215i	0.724247	+	0.689541i	$0.242188\pi$
$44$	6.52965	−	4.64969i	0.984382	−	0.700967i
$45$	1.64960	+	0.900771i	0.245908	+	0.134279i
$46$	−3.05697	+	5.92965i	−0.450726	+	0.874279i
$47$	−1.38464	+	7.85268i	−0.201971	+	1.14543i	0.700166	+	0.713980i	$0.253109\pi$
$47$	−1.38464	+	7.85268i	−0.201971	+	1.14543i	−0.902136	+	0.431451i	$0.858002\pi$
$48$	3.10108	+	6.19543i	0.447602	+	0.894233i
$49$	13.6955	+	4.98477i	1.95651	+	0.712110i
$50$	−1.43552	−	6.35588i	−0.203013	−	0.898857i
$51$	−2.19079	−	4.55589i	−0.306773	−	0.637952i
$52$	−1.02922	+	1.49497i	−0.142728	+	0.207315i
$53$	3.06833			0.421467			0.210734	−	0.977544i	$-0.432415\pi$
$53$	3.06833			0.421467			0.210734	+	0.977544i	$0.432415\pi$
$54$	−5.64803	+	4.70104i	−0.768599	+	0.639731i
$55$			2.51103i			0.338587i
$56$	−6.92657	+	11.1633i	−0.925601	+	1.49175i
$57$	7.17036	+	4.89467i	0.949737	+	0.648315i
$58$	−2.52808	−	11.1933i	−0.331954	−	1.46975i
$59$	−0.537968	+	1.47805i	−0.0700375	+	0.192426i	−0.969773	−	0.244010i	$-0.921537\pi$
$59$	−0.537968	+	1.47805i	−0.0700375	+	0.192426i	0.899735	+	0.436436i	$0.143759\pi$
$60$	−2.14436	−	0.334426i	−0.276835	−	0.0431743i
$61$	3.32732	+	0.586696i	0.426020	+	0.0751188i	0.382547	−	0.923936i	$-0.375047\pi$
$61$	3.32732	+	0.586696i	0.426020	+	0.0751188i	0.0434723	+	0.999055i	$0.486158\pi$
$62$	−5.47895	−	2.82462i	−0.695828	−	0.358727i
$63$	−13.2038	−	4.45304i	−1.66352	−	0.561031i
$64$	−5.78977	−	5.52074i	−0.723722	−	0.690092i
$65$	−0.194457	−	0.534265i	−0.0241194	−	0.0662675i
$66$	−9.12866	−	3.61270i	−1.12366	−	0.444692i
$67$	9.02325	−	7.57140i	1.10237	−	0.924994i	0.104783	−	0.994495i	$-0.466585\pi$
$67$	9.02325	−	7.57140i	1.10237	−	0.924994i	0.997582	+	0.0695008i	$0.0221406\pi$
$68$	4.16020	+	4.09475i	0.504498	+	0.496562i
$69$	8.13046	−	0.808885i	0.978793	−	0.0973783i
$70$	−1.58995	−	3.79584i	−0.190035	−	0.453690i
$71$	3.19304	+	5.53051i	0.378944	+	0.656350i	0.990909	−	0.134535i	$-0.0429540\pi$
$71$	3.19304	+	5.53051i	0.378944	+	0.656350i	−0.611965	+	0.790885i	$0.709621\pi$
$72$	4.30094	−	7.31450i	0.506870	−	0.862022i
$73$	−2.18272	+	3.78059i	−0.255469	+	0.442485i	−0.965023	−	0.262166i	$-0.915563\pi$
$73$	−2.18272	+	3.78059i	−0.255469	+	0.442485i	0.709554	+	0.704651i	$0.248896\pi$
$74$	−6.04108	−	0.770976i	−0.702261	−	0.0896241i
$75$	−5.57548	+	5.70973i	−0.643801	+	0.659302i
$76$	−9.70344	−	2.51776i	−1.11306	−	0.288807i
$77$	−3.23271	−	18.3336i	−0.368402	−	2.08931i
$78$	2.22205	+	0.0617317i	0.251598	+	0.00698974i
$79$	5.52630	−	6.58598i	0.621757	−	0.740981i	−0.359615	−	0.933101i	$-0.617092\pi$
$79$	5.52630	−	6.58598i	0.621757	−	0.740981i	0.981371	+	0.192120i	$0.0615363\pi$
$80$	2.46074	−	0.474238i	0.275119	−	0.0530214i
$81$	8.59407	+	2.67244i	0.954897	+	0.296938i
$82$	−0.566412	−	11.8912i	−0.0625498	−	1.31317i
$83$	6.42426	−	7.65613i	0.705154	−	0.840370i	−0.287945	−	0.957647i	$-0.592972\pi$
$83$	6.42426	−	7.65613i	0.705154	−	0.840370i	0.993099	+	0.117277i	$0.0374166\pi$
$84$	16.0870	−	0.318929i	1.75524	−	0.0347980i
$85$	−1.80077	+	0.317525i	−0.195321	+	0.0344404i
$86$	7.87656	+	2.44919i	0.849351	+	0.264103i
$87$	−9.81894	+	10.0554i	−1.05270	+	1.07805i
$88$	11.3306	+	0.359781i	1.20785	+	0.0383527i
$89$	−1.88520	−	1.08842i	−0.199830	−	0.115372i	0.396746	−	0.917928i	$-0.370139\pi$
$89$	−1.88520	−	1.08842i	−0.199830	−	0.115372i	−0.596576	+	0.802556i	$0.703473\pi$
$90$	1.08494	+	2.42653i	0.114363	+	0.255779i
$91$	2.10759	+	3.65046i	0.220936	+	0.382672i
$92$	−8.51877	+	4.05489i	−0.888144	+	0.422752i
$93$	0.747404	+	7.51249i	0.0775022	+	0.779009i
$94$	−8.28379	+	7.65132i	−0.854407	+	0.789173i
$95$	2.40560	−	2.01853i	0.246809	−	0.207097i
$96$	−1.81629	+	9.62814i	−0.185374	+	0.982668i
$97$	−0.312612	+	0.113782i	−0.0317410	+	0.0115528i	−0.357842	−	0.933782i	$-0.616487\pi$
$97$	−0.312612	+	0.113782i	−0.0317410	+	0.0115528i	0.326101	+	0.945335i	$0.394265\pi$
$98$	11.1433	+	17.3395i	1.12565	+	1.75155i
$99$	2.36904	+	11.7883i	0.238097	+	1.18477i
$100$	3.82809	−	8.38222i	0.382809	−	0.838222i
$101$	−1.17640	+	6.67170i	−0.117056	+	0.663859i	0.868655	+	0.495417i	$0.164985\pi$
$101$	−1.17640	+	6.67170i	−0.117056	+	0.663859i	−0.985712	+	0.168442i	$0.946126\pi$
$102$	1.43649	−	7.00342i	0.142234	−	0.693442i
$103$	4.03772	−	11.0936i	0.397849	−	1.09308i	−0.565481	−	0.824761i	$-0.691310\pi$
$103$	4.03772	−	11.0936i	0.397849	−	1.09308i	0.963330	−	0.268319i	$-0.0864682\pi$
$104$	−2.43865	+	0.800905i	−0.239129	+	0.0785352i
$105$	−2.84167	+	4.16286i	−0.277319	+	0.406254i
$106$	3.45302	+	2.62791i	0.335387	+	0.255246i
$107$			11.7674i			1.13759i	0.822478	+	0.568797i	$0.192591\pi$
$107$			11.7674i			1.13759i	−0.822478	+	0.568797i	$0.807409\pi$
$108$	−10.3824	+	0.453100i	−0.999049	+	0.0435996i
$109$			4.09964i			0.392674i	0.980536	+	0.196337i	$0.0629047\pi$
$109$			4.09964i			0.392674i	−0.980536	+	0.196337i	$0.937095\pi$
$110$	−2.15061	+	2.82585i	−0.205052	+	0.269434i
$111$	3.23241	+	6.72199i	0.306807	+	0.638023i
$112$	−17.3559	+	6.63050i	−1.63998	+	0.626523i
$113$	0.0392698	−	0.107893i	0.00369419	−	0.0101497i	−0.937832	−	0.347090i	$-0.887170\pi$
$113$	0.0392698	−	0.107893i	0.00369419	−	0.0101497i	0.941526	+	0.336940i	$0.109392\pi$
$114$	3.87723	+	11.6495i	0.363136	+	1.09108i
$115$	0.513202	−	2.91051i	0.0478563	−	0.271407i
$116$	6.74163	−	14.7619i	0.625945	−	1.37061i
$117$	−1.41695	−	2.32470i	−0.130997	−	0.214919i
$118$	−1.87132	+	1.20261i	−0.172269	+	0.110710i
$119$	12.7391	−	4.63666i	1.16779	−	0.425042i
$120$	−2.12678	−	2.21292i	−0.194147	−	0.202011i
$121$	−3.87924	+	3.25507i	−0.352658	+	0.295916i
$122$	3.24200	+	3.50999i	0.293517	+	0.317779i
$123$	−11.8431	+	8.50435i	−1.06786	+	0.766811i
$124$	−3.74669	−	7.87128i	−0.336463	−	0.706862i
$125$	3.00957	+	5.21273i	0.269184	+	0.466241i
$126$	−11.0454	−	16.3199i	−0.984000	−	1.45390i
$127$	10.7644	+	6.21480i	0.955182	+	0.551475i	0.894687	−	0.446694i	$-0.147399\pi$
$127$	10.7644	+	6.21480i	0.955182	+	0.551475i	0.0604953	+	0.998168i	$0.480732\pi$
$128$	−1.78735	−	11.1716i	−0.157980	−	0.987442i
$129$	−2.73058	−	9.72636i	−0.240414	−	0.856358i
$130$	0.238743	−	0.767794i	0.0209391	−	0.0673400i
$131$	0.499778	−	0.0881243i	0.0436658	−	0.00769945i	−0.151773	−	0.988415i	$-0.548498\pi$
$131$	0.499778	−	0.0881243i	0.0436658	−	0.00769945i	0.195438	+	0.980716i	$0.437387\pi$
$132$	−7.17901	−	11.8840i	−0.624853	−	1.03437i
$133$	−14.9652	+	17.8348i	−1.29765	+	1.54647i
$134$	16.6392	−	0.792571i	1.43741	−	0.0684677i
$135$	1.77090	−	2.73160i	0.152415	−	0.235099i
$136$	1.17476	+	8.17119i	0.100735	+	0.700674i
$137$	5.79017	−	6.90045i	0.494687	−	0.589545i	−0.459716	−	0.888066i	$-0.652049\pi$
$137$	5.79017	−	6.90045i	0.494687	−	0.589545i	0.954403	+	0.298521i	$0.0964932\pi$
$138$	9.84260	+	6.05316i	0.837858	+	0.515279i
$139$	3.21820	+	18.2513i	0.272965	+	1.54806i	0.745354	+	0.666669i	$0.232280\pi$
$139$	3.21820	+	18.2513i	0.272965	+	1.54806i	−0.472389	+	0.881390i	$0.656608\pi$
$140$	1.46172	−	5.63348i	0.123538	−	0.476116i
$141$	13.3820	+	3.41563i	1.12697	+	0.287648i
$142$	−1.14332	+	8.95862i	−0.0959452	+	0.751790i
$143$	1.81863	−	3.14995i	0.152081	−	0.263412i
$144$	11.1048	−	4.54795i	0.925398	−	0.378996i
$145$	2.54180	+	4.40253i	0.211085	+	0.365610i
$146$	−5.69433	+	2.38515i	−0.471266	+	0.197397i
$147$	10.3956	−	23.0039i	0.857413	−	1.89733i
$148$	−6.13816	−	6.04161i	−0.504554	−	0.496617i
$149$	9.83276	−	8.25067i	0.805531	−	0.675921i	−0.144006	−	0.989577i	$-0.545998\pi$
$149$	9.83276	−	8.25067i	0.805531	−	0.675921i	0.949537	+	0.313656i	$0.101554\pi$
$150$	−11.1647	+	1.65038i	−0.911592	+	0.134753i
$151$	−8.03472	−	22.0752i	−0.653856	−	1.79645i	−0.602989	−	0.797749i	$-0.706024\pi$
$151$	−8.03472	−	22.0752i	−0.653856	−	1.79645i	−0.0508665	−	0.998705i	$-0.516198\pi$
$152$	−8.76363	−	11.1441i	−0.710825	−	0.903904i
$153$	−8.15435	+	3.18960i	−0.659240	+	0.257864i
$154$	12.0641	−	23.4009i	0.972153	−	1.88570i
$155$	2.68929	+	0.474195i	0.216009	+	0.0380882i
$156$	2.44777	+	1.97258i	0.195979	+	0.157933i
$157$	−1.30901	+	3.59647i	−0.104470	+	0.287029i	−0.980904	−	0.194493i	$-0.937694\pi$
$157$	−1.30901	+	3.59647i	−0.104470	+	0.287029i	0.876434	+	0.481522i	$0.159916\pi$
$158$	11.8598	−	2.67862i	0.943516	−	0.213100i
$159$	0.400180	−	5.29941i	0.0317364	−	0.420271i
$160$	3.17542	+	1.57384i	0.251039	+	0.124423i
$161$			21.9111i			1.72683i
$162$	7.38270	+	10.3680i	0.580040	+	0.814588i
$163$	−9.80547			−0.768023			−0.384012	−	0.923328i	$-0.625458\pi$
$163$	−9.80547			−0.768023			−0.384012	+	0.923328i	$0.625458\pi$
$164$	9.54698	−	13.8672i	0.745494	−	1.08285i
$165$	4.33688	+	0.327496i	0.337625	+	0.0254955i
$166$	13.7869	−	3.11387i	1.07007	−	0.241683i
$167$	−5.51424	−	2.00702i	−0.426705	−	0.155308i	0.119736	−	0.992806i	$-0.461795\pi$
$167$	−5.51424	−	2.00702i	−0.426705	−	0.155308i	−0.546440	+	0.837498i	$0.684018\pi$
$168$	18.3771	+	13.4191i	1.41782	+	1.03530i
$169$	2.11442	−	11.9915i	0.162647	−	0.922420i
$170$	−2.29849	−	1.18496i	−0.176286	−	0.0908826i
$171$	9.38893	−	11.7458i	0.717989	−	0.898223i
$172$	6.76643	+	9.50225i	0.515936	+	0.724540i
$173$	−16.3275	+	5.94273i	−1.24136	+	0.451817i	−0.877473	−	0.479627i	$-0.840772\pi$
$173$	−16.3275	+	5.94273i	−1.24136	+	0.451817i	−0.363885	+	0.931444i	$0.618550\pi$
$174$	−19.6620	+	2.90647i	−1.49058	+	0.220339i
$175$	−13.7563	−	16.3941i	−1.03988	−	1.23928i
$176$	12.4430	+	10.1091i	0.937929	+	0.762006i
$177$	2.48263	+	1.12191i	0.186606	+	0.0843283i
$178$	−1.18936	−	2.83948i	−0.0891462	−	0.212828i
$179$	2.25513	−	1.30200i	0.168556	−	0.0973161i	−0.413349	−	0.910573i	$-0.635641\pi$
$179$	2.25513	−	1.30200i	0.168556	−	0.0973161i	0.581905	+	0.813257i	$0.302308\pi$
$180$	−0.857272	+	3.65997i	−0.0638973	+	0.272798i
$181$	−16.9999	−	9.81488i	−1.26359	−	0.729535i	−0.289823	−	0.957080i	$-0.593597\pi$
$181$	−16.9999	−	9.81488i	−1.26359	−	0.729535i	−0.973767	+	0.227546i	$0.926930\pi$
$182$	−0.754658	+	5.91322i	−0.0559390	+	0.438317i
$183$	1.44726	−	5.67021i	0.106985	−	0.419154i
$184$	−13.0597	−	2.73276i	−0.962773	−	0.201462i
$185$	2.65695	−	0.468492i	0.195343	−	0.0344442i
$186$	−5.59307	+	9.09449i	−0.410104	+	0.666840i
$187$	−8.96115	−	7.51930i	−0.655304	−	0.549866i
$188$	−15.8754	+	1.51582i	−1.15784	+	0.110553i
$189$	−9.41308	+	22.2240i	−0.684701	+	1.61656i
$190$	4.43600	−	0.211299i	0.321821	−	0.0153293i
$191$	11.2413	+	9.43260i	0.813394	+	0.682519i	0.951415	−	0.307910i	$-0.0996297\pi$
$191$	11.2413	+	9.43260i	0.813394	+	0.682519i	−0.138021	+	0.990429i	$0.544074\pi$
$192$	−10.2902	+	9.27968i	−0.742629	+	0.669703i
$193$	−3.08198	−	17.4788i	−0.221846	−	1.25815i	−0.868624	−	0.495472i	$-0.834995\pi$
$193$	−3.08198	−	17.4788i	−0.221846	−	1.25815i	0.646778	−	0.762678i	$-0.276116\pi$
$194$	−0.449256	−	0.139695i	−0.0322547	−	0.0100295i
$195$	−0.948109	+	0.266172i	−0.0678955	+	0.0190610i
$196$	−2.31023	+	29.0573i	−0.165017	+	2.07552i
$197$	−0.959735	+	1.66231i	−0.0683783	+	0.118435i	−0.898188	−	0.439612i	$-0.855116\pi$
$197$	−0.959735	+	1.66231i	−0.0683783	+	0.118435i	0.829809	+	0.558047i	$0.188449\pi$
$198$	−7.43019	+	15.2952i	−0.528041	+	1.08698i
$199$	−14.5078	+	8.37608i	−1.02843	+	0.593765i	−0.916535	−	0.399955i	$-0.869026\pi$
$199$	−14.5078	+	8.37608i	−1.02843	+	0.593765i	−0.111896	+	0.993720i	$0.535692\pi$
$200$	11.4871	−	6.15451i	0.812262	−	0.435190i
$201$	−11.9000	−	16.5718i	−0.839360	−	1.16889i
$202$	−7.03797	+	6.50062i	−0.495190	+	0.457382i
$203$	−24.2262	−	28.8716i	−1.70034	−	2.02639i
$204$	7.61477	−	6.65116i	0.533141	−	0.465674i
$205$	1.80376	+	4.95580i	0.125980	+	0.346128i
$206$	14.0452	−	9.02623i	0.978575	−	0.628888i
$207$	−0.336653	−	14.1479i	−0.0233990	−	0.983347i
$208$	−3.43034	−	1.18730i	−0.237851	−	0.0823243i
$209$	19.7844	+	3.48852i	1.36851	+	0.241306i
$210$	−6.76329	+	2.25098i	−0.466712	+	0.155333i
$211$	−6.38063	−	2.32236i	−0.439261	−	0.159878i	0.112917	−	0.993604i	$-0.463981\pi$
$211$	−6.38063	−	2.32236i	−0.439261	−	0.159878i	−0.552177	+	0.833727i	$0.686203\pi$
$212$	1.63522	+	5.91478i	0.112308	+	0.406229i
$213$	9.96837	−	4.79350i	0.683021	−	0.328445i
$214$	−10.0783	+	13.2427i	−0.688941	+	0.905253i
$215$	−3.65416			−0.249212
$216$	−12.0722	−	8.38227i	−0.821408	−	0.570341i
$217$	−20.2457			−1.37437
$218$	−3.51120	+	4.61363i	−0.237808	+	0.312474i
$219$	6.24491	+	4.26293i	0.421992	+	0.288062i
$220$	−4.84047	+	1.33822i	−0.326345	+	0.0902225i
$221$	2.48895	+	0.905902i	0.167425	+	0.0609376i
$222$	−2.11947	+	10.3332i	−0.142250	+	0.693519i
$223$	27.4675	+	4.84327i	1.83936	+	0.324329i	0.981780	−	0.190019i	$-0.0608548\pi$
$223$	27.4675	+	4.84327i	1.83936	+	0.324329i	0.857582	+	0.514348i	$0.171966\pi$
$224$	−25.2107	−	7.40295i	−1.68446	−	0.494630i
$225$	9.13429	+	10.3743i	0.608953	+	0.691618i
$226$	0.136600	−	0.0877866i	0.00908647	−	0.00583948i
$227$	7.70763	+	21.1766i	0.511574	+	1.40554i	0.879597	+	0.475720i	$0.157813\pi$
$227$	7.70763	+	21.1766i	0.511574	+	1.40554i	−0.368023	+	0.929817i	$0.619965\pi$
$228$	−5.61405	+	16.4308i	−0.371800	+	1.08815i
$229$	11.0943	+	13.2216i	0.733130	+	0.873710i	0.995836	−	0.0911658i	$-0.0290593\pi$
$229$	11.0943	+	13.2216i	0.733130	+	0.873710i	−0.262706	+	0.964876i	$0.584615\pi$
$230$	3.07030	−	2.83588i	0.202449	−	0.186992i
$231$	−32.0862	+	3.19220i	−2.11112	+	0.210031i
$232$	20.2299	−	10.8387i	1.32816	−	0.711593i
$233$	−12.5406	+	7.24033i	−0.821564	+	0.474330i	−0.850955	−	0.525238i	$-0.823976\pi$
$233$	−12.5406	+	7.24033i	−0.821564	+	0.474330i	0.0293918	+	0.999568i	$0.490643\pi$
$234$	0.396426	−	3.82973i	0.0259152	−	0.250358i
$235$	2.49782	−	4.32635i	0.162940	−	0.282220i
$236$	−3.13593	−	0.249326i	−0.204132	−	0.0162297i
$237$	−10.6541	−	10.4036i	−0.692059	−	0.675787i
$238$	18.3074	+	5.69263i	1.18669	+	0.368998i
$239$	3.39066	+	19.2294i	0.219324	+	1.24385i	0.873244	+	0.487283i	$0.162012\pi$
$239$	3.39066	+	19.2294i	0.219324	+	1.24385i	−0.653920	+	0.756563i	$0.726877\pi$
$240$	−0.498135	−	4.31188i	−0.0321545	−	0.278330i
$241$	1.60322	+	1.34526i	0.103272	+	0.0866558i	0.692962	−	0.720974i	$-0.256305\pi$
$241$	1.60322	+	1.34526i	0.103272	+	0.0866558i	−0.589689	+	0.807630i	$0.700750\pi$
$242$	−7.15345	+	0.340739i	−0.459841	+	0.0219036i
$243$	5.73653	−	14.4946i	0.367998	−	0.929826i
$244$	0.642281	+	6.72670i	0.0411178	+	0.430633i
$245$	−6.99475	−	5.86929i	−0.446878	−	0.374975i
$246$	−20.6116	−	0.572618i	−1.31415	−	0.0365088i
$247$	−4.47963	+	0.789880i	−0.285032	+	0.0502588i
$248$	2.52505	−	12.0671i	0.160341	−	0.766259i
$249$	−12.3853	−	12.0941i	−0.784886	−	0.766431i
$250$	−1.07763	+	8.44387i	−0.0681550	+	0.534037i
$251$	7.71685	+	4.45533i	0.487083	+	0.281218i	0.723364	−	0.690467i	$-0.242595\pi$
$251$	7.71685	+	4.45533i	0.487083	+	0.281218i	−0.236280	+	0.971685i	$0.575928\pi$
$252$	1.54728	−	27.8260i	0.0974697	−	1.75287i
$253$	16.3738	−	9.45345i	1.02942	−	0.594333i
$254$	6.79117	+	16.2133i	0.426116	+	1.01731i
$255$	0.313546	+	3.15159i	0.0196350	+	0.197360i
$256$	7.55668	−	14.1031i	0.472292	−	0.881442i
$257$	−7.13593	−	8.50427i	−0.445127	−	0.530482i	0.496096	−	0.868268i	$-0.334766\pi$
$257$	−7.13593	−	8.50427i	−0.445127	−	0.530482i	−0.941223	+	0.337786i	$0.890322\pi$
$258$	5.25736	−	13.2844i	0.327309	−	0.827053i
$259$	−18.7959	+	6.84116i	−1.16792	+	0.425089i
$260$	0.926264	−	0.659581i	0.0574444	−	0.0409055i
$261$	16.0863	+	18.2701i	0.995719	+	1.13089i
$262$	0.637912	+	0.328869i	0.0394104	+	0.0203176i
$263$	3.30401	−	18.7379i	0.203734	−	1.15543i	−0.695686	−	0.718346i	$-0.744900\pi$
$263$	3.30401	−	18.7379i	0.203734	−	1.15543i	0.899420	−	0.437085i	$-0.143989\pi$
$264$	2.09916	−	19.5225i	0.129194	−	1.20153i
$265$	−1.80639	−	0.657473i	−0.110966	−	0.0403883i
$266$	−32.1163	+	7.25369i	−1.96918	+	0.444752i
$267$	−2.12572	+	3.11403i	−0.130092	+	0.190575i
$268$	19.4041	+	13.3589i	1.18530	+	0.816027i
$269$	2.37780			0.144977			0.0724886	−	0.997369i	$-0.476906\pi$
$269$	2.37780			0.144977			0.0724886	+	0.997369i	$0.476906\pi$
$270$	4.33244	−	1.55736i	0.263664	−	0.0947782i
$271$		−	18.7598i		−	1.13957i	−0.821792	−	0.569787i	$-0.807026\pi$
$271$		−	18.7598i		−	1.13957i	0.821792	−	0.569787i	$-0.192974\pi$
$272$	−5.67629	+	10.2018i	−0.344176	+	0.618575i
$273$	6.57971	−	3.16399i	0.398222	−	0.191494i
$274$	12.4261	−	2.80652i	0.750688	−	0.169548i
$275$	−6.31601	+	17.3531i	−0.380870	+	1.04643i
$276$	5.89229	+	15.2419i	0.354674	+	0.917455i
$277$	4.07892	+	0.719224i	0.245079	+	0.0432140i	0.294838	−	0.955547i	$-0.404734\pi$
$277$	4.07892	+	0.719224i	0.245079	+	0.0432140i	−0.0497594	+	0.998761i	$0.515845\pi$
$278$	−12.0099	+	23.2959i	−0.720309	+	1.39719i
$279$	13.0725	−	0.311065i	0.782633	−	0.0186230i
$280$	6.46986	−	5.08786i	0.386648	−	0.304058i
$281$	−5.40819	−	14.8589i	−0.322625	−	0.886406i	−0.989922	−	0.141614i	$-0.954771\pi$
$281$	−5.40819	−	14.8589i	−0.322625	−	0.886406i	0.667297	−	0.744792i	$-0.267451\pi$
$282$	12.1344	+	15.3051i	0.722596	+	0.911406i
$283$	6.74592	−	5.66050i	0.401003	−	0.336482i	−0.419878	−	0.907581i	$-0.637927\pi$
$283$	6.74592	−	5.66050i	0.401003	−	0.336482i	0.820881	+	0.571099i	$0.193483\pi$
$284$	−8.95940	+	9.10259i	−0.531643	+	0.540139i
$285$	−3.17253	−	4.41805i	−0.187925	−	0.261703i
$286$	4.74446	−	1.98729i	0.280546	−	0.117511i
$287$	−19.5499	−	33.8614i	−1.15399	−	1.99877i
$288$	16.3922	+	4.39270i	0.965920	+	0.258843i
$289$	−4.24072	+	7.34514i	−0.249454	+	0.432067i
$290$	−0.910133	+	7.13146i	−0.0534448	+	0.418774i
$291$	0.155744	+	0.554763i	0.00912988	+	0.0325208i
$292$	−8.45105	−	2.19280i	−0.494560	−	0.128324i
$293$	1.65024	+	9.35900i	0.0964083	+	0.546759i	0.994307	+	0.106556i	$0.0339823\pi$
$293$	1.65024	+	9.35900i	0.0964083	+	0.546759i	−0.897898	+	0.440203i	$0.854907\pi$
$294$	31.4010	−	16.9846i	1.83134	−	0.990560i
$295$	0.633427	−	0.754889i	0.0368796	−	0.0439514i
$296$	−1.73331	−	12.0562i	−0.100746	−	0.700752i
$297$	20.6689	−	2.55418i	1.19933	−	0.148209i
$298$	18.1319	−	0.863676i	1.05036	−	0.0500314i
$299$	−2.75174	+	3.27940i	−0.159137	+	0.189652i
$300$	−13.9779	−	7.70486i	−0.807017	−	0.444840i
$301$	26.6799	−	4.70439i	1.53781	−	0.271157i
$302$	9.86457	−	31.7243i	0.567642	−	1.82553i
$303$	11.3695	+	2.90194i	0.653160	+	0.166712i
$304$	−0.317862	−	20.0470i	−0.0182307	−	1.14977i
$305$	−1.83315	−	1.05837i	−0.104966	−	0.0606021i
$306$	−11.9085	−	3.39442i	−0.680763	−	0.194046i
$307$	−7.38935	−	12.7987i	−0.421733	−	0.730462i	0.574376	−	0.818591i	$-0.305245\pi$
$307$	−7.38935	−	12.7987i	−0.421733	−	0.730462i	−0.996109	+	0.0881289i	$0.971911\pi$
$308$	33.6187	−	16.0023i	1.91560	−	0.911816i
$309$	−18.6334	−	8.42054i	−1.06002	−	0.479028i
$310$	2.62033	+	2.83693i	0.148825	+	0.161127i
$311$	−22.8823	+	19.2005i	−1.29753	+	1.08876i	−0.306969	+	0.951720i	$0.599315\pi$
$311$	−22.8823	+	19.2005i	−1.29753	+	1.08876i	−0.990565	+	0.137041i	$0.956241\pi$
$312$	1.06521	+	4.31633i	0.0603058	+	0.244364i
$313$	4.41539	−	1.60707i	0.249572	−	0.0908369i	−0.214205	−	0.976789i	$-0.568716\pi$
$313$	4.41539	−	1.60707i	0.249572	−	0.0908369i	0.463777	+	0.885952i	$0.346494\pi$
$314$	−4.55337	+	2.92625i	−0.256962	+	0.165138i
$315$	6.81920	+	5.45088i	0.384218	+	0.307123i
$316$	15.6409	+	7.14307i	0.879868	+	0.401829i
$317$	1.83138	−	10.3863i	0.102861	−	0.583352i	−0.889193	−	0.457533i	$-0.848733\pi$
$317$	1.83138	−	10.3863i	0.102861	−	0.583352i	0.992053	−	0.125819i	$-0.0401558\pi$
$318$	4.98911	−	5.62108i	0.279776	−	0.315215i
$319$	−11.1231	+	30.5604i	−0.622773	+	1.71106i
$320$	2.22560	+	4.49080i	0.124415	+	0.251043i
$321$	20.3238	+	1.53474i	1.13437	+	0.0856606i
$322$	−18.7661	+	24.6582i	−1.04579	+	1.37415i
$323$			14.6294i			0.814003i
$324$	−0.571542	+	17.9909i	−0.0317523	+	0.999496i
$325$		−	4.18130i		−	0.231937i
$326$	−11.0348	−	8.39804i	−0.611162	−	0.465124i
$327$	7.08062	+	0.534687i	0.391559	+	0.0295683i
$328$	22.6207	−	7.42912i	1.24902	−	0.410205i
$329$	−12.6674	+	34.8035i	−0.698378	+	1.91878i
$330$	4.60012	+	4.08294i	0.253228	+	0.224758i
$331$	2.08554	−	11.8277i	0.114632	−	0.650108i	−0.872300	−	0.488971i	$-0.837373\pi$
$331$	2.08554	−	11.8277i	0.114632	−	0.650108i	0.986932	−	0.161138i	$-0.0515163\pi$
$332$	18.1823	+	8.30373i	0.997886	+	0.455727i
$333$	12.0313	−	4.70610i	0.659314	−	0.257893i
$334$	−4.48664	−	6.98140i	−0.245498	−	0.382005i
$335$	−6.93457	+	2.52398i	−0.378876	+	0.137900i
$336$	9.18815	+	30.8408i	0.501255	+	1.68250i
$337$	−8.14386	+	6.83351i	−0.443624	+	0.372245i	−0.837064	−	0.547106i	$-0.815730\pi$
$337$	−8.14386	+	6.83351i	−0.443624	+	0.372245i	0.393439	+	0.919351i	$0.371285\pi$
$338$	12.6498	−	11.6840i	0.688057	−	0.635523i
$339$	−0.181224	−	0.0818958i	−0.00984271	−	0.00444797i
$340$	−1.57179	−	3.30211i	−0.0852421	−	0.179082i
$341$	8.73492	+	15.1293i	0.473022	+	0.819298i
$342$	20.6259	−	5.17713i	1.11532	−	0.279947i
$343$	30.4687	+	17.5911i	1.64516	+	0.949832i
$344$	−0.523569	+	16.4888i	−0.0282289	+	0.889017i
$345$	−4.95991	−	1.26597i	−0.267033	−	0.0681573i
$346$	−23.4643	−	7.29614i	−1.26145	−	0.392243i
$347$	13.6704	−	2.41047i	0.733868	−	0.129401i	0.205789	−	0.978596i	$-0.434024\pi$
$347$	13.6704	−	2.41047i	0.733868	−	0.129401i	0.528078	+	0.849196i	$0.322913\pi$
$348$	−24.6165	−	13.5690i	−1.31958	−	0.727374i
$349$	−13.0999	+	15.6119i	−0.701223	+	0.835685i	−0.992664	−	0.120904i	$-0.961421\pi$
$349$	−13.0999	+	15.6119i	−0.701223	+	0.835685i	0.291441	+	0.956589i	$0.405865\pi$
$350$	−1.44001	−	30.2314i	−0.0769715	−	1.61593i
$351$	−4.19988	+	2.14407i	−0.224173	+	0.114442i
$352$	5.34494	+	22.0336i	0.284886	+	1.17439i
$353$	−2.23673	+	2.66563i	−0.119049	+	0.141877i	−0.822277	−	0.569087i	$-0.807297\pi$
$353$	−2.23673	+	2.66563i	−0.119049	+	0.141877i	0.703228	+	0.710964i	$0.251741\pi$
$354$	1.83301	+	3.38886i	0.0974235	+	0.180116i
$355$	−0.694751	−	3.94013i	−0.0368735	−	0.209120i
$356$	1.09344	−	4.21412i	0.0579523	−	0.223348i
$357$	−6.34665	−	22.6069i	−0.335901	−	1.19648i
$358$	3.65298	+	0.466202i	0.193066	+	0.0246395i
$359$	−0.993822	+	1.72135i	−0.0524519	+	0.0908494i	−0.891059	−	0.453887i	$-0.850037\pi$
$359$	−0.993822	+	1.72135i	−0.0524519	+	0.0908494i	0.838607	+	0.544736i	$0.183370\pi$
$360$	−4.09939	+	3.38462i	−0.216057	+	0.178385i
$361$	−3.06198	−	5.30350i	−0.161157	−	0.279132i
$362$	−10.7251	−	25.6052i	−0.563700	−	1.34578i
$363$	5.11600	+	7.12450i	0.268520	+	0.373940i
$364$	−5.91373	+	6.00824i	−0.309964	+	0.314918i
$365$	2.09511	−	1.75801i	0.109663	−	0.0920184i
$366$	6.48504	−	5.14158i	0.338979	−	0.268755i
$367$	1.09533	+	3.00938i	0.0571755	+	0.157089i	0.964992	−	0.262279i	$-0.0844741\pi$
$367$	1.09533	+	3.00938i	0.0571755	+	0.157089i	−0.907817	+	0.419368i	$0.862252\pi$
$368$	−12.3565	−	14.2605i	−0.644128	−	0.743382i
$369$	13.1435	+	21.5638i	0.684225	+	1.12256i
$370$	3.39131	+	1.74836i	0.176306	+	0.0908928i
$371$	14.0354	+	2.47481i	0.728679	+	0.128486i
$372$	−14.0834	+	5.44444i	−0.730191	+	0.282281i
$373$	−0.734328	+	2.01755i	−0.0380221	+	0.104465i	−0.957251	−	0.289259i	$-0.906591\pi$
$373$	−0.734328	+	2.01755i	−0.0380221	+	0.104465i	0.919229	+	0.393724i	$0.128813\pi$
$374$	−3.64464	−	16.1369i	−0.188460	−	0.834421i
$375$	9.39560	−	4.51807i	0.485187	−	0.233312i
$376$	−19.1641	−	11.8909i	−0.988312	−	0.613226i
$377$		−	7.36366i		−	0.379248i
$378$	−29.6273	+	16.9483i	−1.52386	+	0.871728i
$379$	10.2488			0.526447			0.263223	−	0.964735i	$-0.415214\pi$
$379$	10.2488			0.526447			0.263223	+	0.964735i	$0.415214\pi$
$380$	5.17313	+	3.56149i	0.265376	+	0.182700i
$381$	12.1377	−	17.7809i	0.621834	−	0.910945i
$382$	4.57202	+	20.2430i	0.233925	+	1.03572i
$383$	20.9591	+	7.62848i	1.07096	+	0.389797i	0.816535	−	0.577296i	$-0.195892\pi$
$383$	20.9591	+	7.62848i	1.07096	+	0.389797i	0.254423	+	0.967093i	$0.418114\pi$
$384$	−19.5280	+	1.62995i	−0.996535	+	0.0831778i
$385$	−2.02531	+	11.4861i	−0.103219	+	0.585387i
$386$	11.5016	−	22.3098i	0.585415	−	1.13554i
$387$	−17.1548	+	3.44753i	−0.872030	+	0.175248i
$388$	−0.385938	−	0.541980i	−0.0195930	−	0.0275149i
$389$	−8.94456	+	3.25555i	−0.453507	+	0.165063i	−0.558667	−	0.829392i	$-0.688687\pi$
$389$	−8.94456	+	3.25555i	−0.453507	+	0.165063i	0.105160	+	0.994455i	$0.466465\pi$
$390$	−1.29495	−	0.512479i	−0.0655721	−	0.0259504i
$391$	8.85001	+	10.5470i	0.447564	+	0.533387i
$392$	−27.4864	+	30.7217i	−1.38827	+	1.55168i
$393$	−0.0870199	−	0.874676i	−0.00438957	−	0.0441216i
$394$	−2.50377	+	1.04874i	−0.126138	+	0.0528348i
$395$	−4.66468	+	2.69315i	−0.234706	+	0.135507i
$396$	−21.4616	+	10.8492i	−1.07848	+	0.545191i
$397$	−31.4195	−	18.1401i	−1.57690	−	0.910424i	−0.995289	−	0.0969571i	$-0.969089\pi$
$397$	−31.4195	−	18.1401i	−1.57690	−	0.910424i	−0.581612	−	0.813467i	$-0.697578\pi$
$398$	−23.5005	−	2.99919i	−1.17797	−	0.150336i
$399$	28.8513	+	28.1729i	1.44437	+	1.41041i
$400$	18.1984	+	2.91218i	0.909921	+	0.145609i
$401$	32.5501	−	5.73946i	1.62547	−	0.286615i	0.714673	−	0.699459i	$-0.246576\pi$
$401$	32.5501	−	5.73946i	1.62547	−	0.286615i	0.910802	+	0.412844i	$0.135465\pi$
$402$	0.801254	−	28.8414i	0.0399629	−	1.43848i
$403$	−3.03014	−	2.54259i	−0.150942	−	0.126655i
$404$	−13.4879	+	1.28786i	−0.671048	+	0.0640732i
$405$	−4.48688	−	3.41484i	−0.222955	−	0.169685i
$406$	−2.53598	−	53.2403i	−0.125859	−	2.64227i
$407$	13.2217	+	11.0944i	0.655377	+	0.549927i
$408$	14.2660	−	0.963264i	0.706270	−	0.0476887i
$409$	3.81109	+	21.6138i	0.188446	+	1.06873i	0.921447	+	0.388504i	$0.127008\pi$
$409$	3.81109	+	21.6138i	0.188446	+	1.06873i	−0.733001	+	0.680228i	$0.761881\pi$
$410$	−2.21456	+	7.12199i	−0.109369	+	0.351730i
$411$	−11.1628	−	10.9004i	−0.550622	−	0.537675i
$412$	23.5368	+	1.87132i	1.15957	+	0.0921931i
$413$	−3.65296	+	6.32711i	−0.179750	+	0.311337i
$414$	11.7383	−	16.2100i	0.576907	−	0.796679i
$415$	−5.42264	+	3.13076i	−0.266187	+	0.153683i
$416$	−2.84354	−	4.27412i	−0.139416	−	0.209556i
$417$	31.9422	−	3.17787i	1.56422	−	0.155621i
$418$	19.2770	+	20.8705i	0.942871	+	1.02081i
$419$	10.2635	+	12.2316i	0.501405	+	0.597551i	0.956080	−	0.293106i	$-0.0946890\pi$
$419$	10.2635	+	12.2316i	0.501405	+	0.597551i	−0.454675	+	0.890658i	$0.650245\pi$
$420$	−9.53912	−	3.25932i	−0.465462	−	0.159039i
$421$	−9.89676	−	27.1911i	−0.482338	−	1.32521i	−0.907483	−	0.420088i	$-0.861999\pi$
$421$	−9.89676	−	27.1911i	−0.482338	−	1.32521i	0.425145	−	0.905125i	$-0.360223\pi$
$422$	−5.19158	−	8.07831i	−0.252722	−	0.393246i
$423$	7.64457	−	22.6671i	0.371692	−	1.10211i
$424$	−3.22556	+	8.05685i	−0.156647	+	0.391275i
$425$	−13.2434	−	2.33517i	−0.642399	−	0.113272i
$426$	15.3236	+	3.14307i	0.742431	+	0.152282i
$427$	14.7468	+	5.36741i	0.713650	+	0.259747i
$428$	−22.6838	+	6.27126i	−1.09646	+	0.303133i
$429$	−5.20320	−	3.55184i	−0.251213	−	0.171484i
$430$	−4.11230	−	3.12966i	−0.198313	−	0.150926i
$431$	−30.7042			−1.47897			−0.739484	−	0.673174i	$-0.764930\pi$
$431$	−30.7042			−1.47897			−0.739484	+	0.673174i	$0.764930\pi$
$432$	−6.40660	−	19.7726i	−0.308238	−	0.951309i
$433$	24.3318			1.16931			0.584657	−	0.811281i	$-0.301229\pi$
$433$	24.3318			1.16931			0.584657	+	0.811281i	$0.301229\pi$
$434$	−22.7840	−	17.3397i	−1.09367	−	0.832333i
$435$	7.93526	−	3.81584i	0.380467	−	0.182955i
$436$	−7.90282	+	2.18484i	−0.378477	+	0.104635i
$437$	−22.2189	−	8.08703i	−1.06288	−	0.386855i
$438$	3.37681	+	10.1459i	0.161350	+	0.484792i
$439$	−15.6481	−	2.75919i	−0.746844	−	0.131689i	−0.212741	−	0.977109i	$-0.568239\pi$
$439$	−15.6481	−	2.75919i	−0.746844	−	0.131689i	−0.534102	+	0.845420i	$0.679350\pi$
$440$	−6.59348	−	2.63970i	−0.314332	−	0.125843i
$441$	−38.3750	−	20.9548i	−1.82738	−	0.997847i
$442$	2.02512	+	3.15117i	0.0963253	+	0.149886i
$443$	−7.27214	−	19.9800i	−0.345510	−	0.949280i	−0.983766	−	0.179456i	$-0.942566\pi$
$443$	−7.27214	−	19.9800i	−0.345510	−	0.949280i	0.638256	−	0.769824i	$-0.279656\pi$
$444$	−11.2352	+	9.81346i	−0.533200	+	0.465726i
$445$	0.876633	+	1.04473i	0.0415564	+	0.0495250i
$446$	26.7632	+	28.9755i	1.26727	+	1.37203i
$447$	−12.9676	−	18.0586i	−0.613346	−	0.854141i
$448$	−22.0311	−	29.9232i	−1.04087	−	1.41374i
$449$	10.3738	−	5.98931i	0.489569	−	0.282653i	−0.234827	−	0.972037i	$-0.575452\pi$
$449$	10.3738	−	5.98931i	0.489569	−	0.282653i	0.724396	+	0.689384i	$0.242119\pi$
$450$	1.39430	+	19.4981i	0.0657277	+	0.919151i
$451$	−16.8694	+	29.2187i	−0.794350	+	1.37585i
$452$	0.228912	+	0.0181999i	0.0107671	+	0.000856050i
$453$	−39.1747	+	10.9979i	−1.84059	+	0.516727i
$454$	−9.46300	+	30.4329i	−0.444120	+	1.42829i
$455$	−0.458576	−	2.60072i	−0.0214984	−	0.121923i
$456$	−20.3903	+	13.6825i	−0.954862	+	0.640743i
$457$	−19.6891	−	16.5211i	−0.921015	−	0.772823i	0.0531674	−	0.998586i	$-0.483068\pi$
$457$	−19.6891	−	16.5211i	−0.921015	−	0.772823i	−0.974182	+	0.225762i	$0.927513\pi$
$458$	1.16134	+	24.3811i	0.0542660	+	1.13926i
$459$	4.44535	+	14.4997i	0.207491	+	0.676786i
$460$	5.88406	−	0.561824i	0.274346	−	0.0261952i
$461$	19.7573	+	16.5784i	0.920190	+	0.772131i	0.974030	−	0.226418i	$-0.0727017\pi$
$461$	19.7573	+	16.5784i	0.920190	+	0.772131i	−0.0538400	+	0.998550i	$0.517146\pi$
$462$	−38.8431	−	23.8883i	−1.80714	−	1.11139i
$463$	−23.8682	+	4.20861i	−1.10925	+	0.195591i	−0.698116	−	0.715985i	$-0.745978\pi$
$463$	−23.8682	+	4.20861i	−1.10925	+	0.195591i	−0.411133	+	0.911575i	$0.634867\pi$
$464$	32.0491	+	5.12862i	1.48784	+	0.238090i
$465$	1.16974	−	4.58292i	0.0542455	−	0.212528i
$466$	−20.3140	−	2.59252i	−0.941027	−	0.120096i
$467$	1.80364	+	1.04133i	0.0834624	+	0.0481870i	0.541150	−	0.840926i	$-0.317989\pi$
$467$	1.80364	+	1.04133i	0.0834624	+	0.0481870i	−0.457688	+	0.889113i	$0.651322\pi$
$468$	3.72616	−	3.97036i	0.172242	−	0.183530i
$469$	47.3816	−	27.3558i	2.18788	−	1.26317i
$470$	6.51635	−	2.72947i	0.300577	−	0.125901i
$471$	6.04085	+	2.72989i	0.278348	+	0.125787i
$472$	−3.31556	−	2.96640i	−0.152611	−	0.136540i
$473$	−15.0265	−	17.9079i	−0.690918	−	0.823404i
$474$	−3.07954	−	20.8328i	−0.141448	−	0.956884i
$475$	21.7017	−	7.89878i	0.995744	−	0.362421i
$476$	15.7272	+	22.0860i	0.720853	+	1.01231i
$477$	−9.10060	−	1.38233i	−0.416688	−	0.0632925i
$478$	−12.6535	+	24.5443i	−0.578760	+	1.12263i
$479$	2.00257	−	11.3572i	0.0914999	−	0.518922i	−0.904264	−	0.426974i	$-0.859580\pi$
$479$	2.00257	−	11.3572i	0.0914999	−	0.518922i	0.995764	−	0.0919478i	$-0.0293093\pi$
$480$	3.13238	−	5.27911i	0.142973	−	0.240957i
$481$	−3.67232	−	1.33661i	−0.167443	−	0.0609444i
$482$	0.652054	+	2.88702i	0.0297002	+	0.131500i
$483$	37.8434	+	2.85771i	1.72193	+	0.130030i
$484$	−8.34215	−	5.74322i	−0.379188	−	0.261056i
$485$	0.208423			0.00946398
$486$	18.8698	−	11.3987i	0.855953	−	0.517054i
$487$			29.2353i			1.32478i	0.749160	+	0.662389i	$0.230458\pi$
$487$			29.2353i			1.32478i	−0.749160	+	0.662389i	$0.769542\pi$
$488$	−5.03838	+	8.12015i	−0.228077	+	0.367582i
$489$	−1.27886	+	16.9353i	−0.0578320	+	0.765843i
$490$	−2.84487	−	12.5959i	−0.128518	−	0.569025i
$491$	−1.76088	+	4.83798i	−0.0794674	+	0.218335i	−0.973064	−	0.230537i	$-0.925952\pi$
$491$	−1.76088	+	4.83798i	−0.0794674	+	0.218335i	0.893596	+	0.448872i	$0.148174\pi$
$492$	−22.7053	−	18.2975i	−1.02364	−	0.824915i
$493$	−23.3228	−	4.11245i	−1.05041	−	0.185215i
$494$	−5.71777	−	2.94774i	−0.257254	−	0.132625i
$495$	1.13126	−	7.44765i	0.0508462	−	0.334747i
$496$	13.1766	−	11.4173i	0.591648	−	0.512654i
$497$	10.1451	+	27.8734i	0.455070	+	1.25029i
$498$	−3.57993	−	24.2179i	−0.160421	−	1.08523i
$499$	−19.4599	+	16.3288i	−0.871144	+	0.730977i	−0.964339	−	0.264671i	$-0.914737\pi$
$499$	−19.4599	+	16.3288i	−0.871144	+	0.730977i	0.0931946	+	0.995648i	$0.470292\pi$
$500$	−8.44461	+	8.57956i	−0.377654	+	0.383690i
$501$	−4.18557	+	9.26207i	−0.186998	+	0.413799i
$502$	4.86852	+	11.6231i	0.217293	+	0.518765i
$503$	−3.28486	−	5.68954i	−0.146465	−	0.253684i	0.783454	−	0.621450i	$-0.213456\pi$
$503$	−3.28486	−	5.68954i	−0.146465	−	0.253684i	−0.929918	+	0.367766i	$0.880123\pi$
$504$	25.5733	−	29.9895i	1.13912	−	1.33584i
$505$	2.12217	−	3.67570i	0.0944352	−	0.163567i
$506$	26.5233	+	3.38496i	1.17910	+	0.150480i
$507$	−20.4351	−	5.21584i	−0.907554	−	0.231644i
$508$	−6.24349	+	24.0624i	−0.277010	+	1.06760i
$509$	0.0426035	+	0.241616i	0.00188837	+	0.0107095i	0.985737	−	0.168291i	$-0.0538248\pi$
$509$	0.0426035	+	0.241616i	0.00188837	+	0.0107095i	−0.983849	+	0.179000i	$0.942714\pi$
$510$	−2.34637	+	3.81526i	−0.103899	+	0.168943i
$511$	−13.0337	+	15.5329i	−0.576576	+	0.687136i
$512$	20.5829	−	9.39921i	0.909643	−	0.415390i
$513$	−19.0620	−	17.7479i	−0.841609	−	0.783587i
$514$	−0.746986	−	15.6822i	−0.0329481	−	0.691711i
$515$	−4.75419	+	5.66583i	−0.209495	+	0.249666i
$516$	17.2942	−	10.4472i	0.761333	−	0.459913i
$517$	31.4735	−	5.54962i	1.38420	−	0.244072i
$518$	−27.0117	−	8.39919i	−1.18682	−	0.369039i
$519$	8.13440	+	28.9749i	0.357061	+	1.27185i
$520$	1.60730	+	0.0510367i	0.0704848	+	0.00223811i
$521$	29.9500	+	17.2916i	1.31213	+	0.757560i	0.982449	−	0.186532i	$-0.0597248\pi$
$521$	29.9500	+	17.2916i	1.31213	+	0.757560i	0.329683	+	0.944092i	$0.393058\pi$
$522$	2.45549	+	34.3381i	0.107474	+	1.50294i
$523$	12.9546	+	22.4380i	0.566466	+	0.981147i	0.996912	+	0.0785309i	$0.0250229\pi$
$523$	12.9546	+	22.4380i	0.566466	+	0.981147i	−0.430446	+	0.902616i	$0.641644\pi$
$524$	0.436225	+	0.916450i	0.0190566	+	0.0400353i
$525$	−30.1090	+	21.6208i	−1.31407	+	0.943610i
$526$	19.7666	−	18.2574i	0.861866	−	0.796062i
$527$	−9.74539	+	8.17735i	−0.424516	+	0.356211i
$528$	19.0827	−	20.1723i	0.830468	−	0.877887i
$529$	0.702032	−	0.255519i	0.0305231	−	0.0111095i
$530$	−1.46977	−	2.28702i	−0.0638425	−	0.0993416i
$531$	2.26149	−	4.14152i	0.0981402	−	0.179727i
$532$	−42.3554	−	19.3434i	−1.83634	−	0.838642i
$533$	1.32654	−	7.52318i	0.0574588	−	0.325865i
$534$	−5.05928	+	1.68385i	−0.218937	+	0.0728672i
$535$	2.52148	−	6.92771i	0.109013	−	0.299511i
$536$	10.3954	+	31.6527i	0.449015	+	1.36719i
$537$	−1.95461	−	4.06472i	−0.0843475	−	0.175406i
$538$	2.67592	+	2.03651i	0.115367	+	0.0878000i
$539$		−	58.4144i		−	2.51609i
$540$	6.20945	+	1.95797i	0.267212	+	0.0842575i
$541$		−	12.5921i		−	0.541376i	−0.962667	−	0.270688i	$-0.912749\pi$
$541$		−	12.5921i		−	0.541376i	0.962667	−	0.270688i	$-0.0872512\pi$
$542$	16.0671	−	21.1118i	0.690140	−	0.906828i
$543$	−19.1688	+	28.0810i	−0.822611	+	1.20507i
$544$	−15.1254	+	6.61930i	−0.648498	+	0.283800i
$545$	0.878460	−	2.41355i	0.0376291	−	0.103385i
$546$	10.1145	+	2.07461i	0.432860	+	0.0887853i
$547$	−3.19463	+	18.1176i	−0.136592	+	0.774654i	0.837145	+	0.546981i	$0.184223\pi$
$547$	−3.19463	+	18.1176i	−0.136592	+	0.774654i	−0.973738	+	0.227673i	$0.926888\pi$
$548$	16.3877	+	7.48413i	0.700048	+	0.319706i
$549$	−9.60445	−	3.23914i	−0.409908	−	0.138243i
$550$	−21.9702	+	14.1193i	−0.936812	+	0.602049i
$551$	38.2188	−	13.9105i	1.62817	−	0.592607i
$552$	−6.42312	+	22.1994i	−0.273386	+	0.944869i
$553$	30.5908	−	25.6687i	1.30085	−	1.09155i
$554$	3.97432	+	4.30285i	0.168853	+	0.182810i
$555$	−0.462621	−	4.65001i	−0.0196372	−	0.197382i
$556$	−33.4678	+	15.9305i	−1.41935	+	0.675603i
$557$	8.10237	+	14.0337i	0.343308	+	0.594628i	0.985045	−	0.172298i	$-0.0551191\pi$
$557$	8.10237	+	14.0337i	0.343308	+	0.594628i	−0.641737	+	0.766925i	$0.721786\pi$
$558$	14.9779	+	10.8461i	0.634066	+	0.459153i
$559$	4.58395	+	2.64655i	0.193881	+	0.111937i
$560$	11.6386	−	0.184540i	0.491820	−	0.00779823i
$561$	−14.1556	+	14.4964i	−0.597649	+	0.612039i
$562$	6.63987	−	21.3537i	0.280086	−	0.900752i
$563$	18.5122	−	3.26419i	0.780194	−	0.137569i	0.230653	−	0.973036i	$-0.425914\pi$
$563$	18.5122	−	3.26419i	0.780194	−	0.137569i	0.549541	+	0.835467i	$0.314803\pi$
$564$	0.547508	+	27.6167i	0.0230543	+	1.16287i
$565$	−0.0462380	+	0.0551042i	−0.00194525	+	0.00231825i
$566$	12.4397	−	0.592539i	0.522880	−	0.0249063i
$567$	37.1561	+	19.1562i	1.56041	+	0.804483i
$568$	−17.8787	+	2.57041i	−0.750175	+	0.107852i
$569$	−11.3736	+	13.5546i	−0.476807	+	0.568237i	−0.949811	−	0.312823i	$-0.898725\pi$
$569$	−11.3736	+	13.5546i	−0.476807	+	0.568237i	0.473004	+	0.881060i	$0.343170\pi$
$570$	0.213614	−	7.68912i	0.00894731	−	0.322062i
$571$	−6.91365	−	39.2093i	−0.289327	−	1.64086i	−0.689405	−	0.724376i	$-0.742128\pi$
$571$	−6.91365	−	39.2093i	−0.289327	−	1.64086i	0.400078	−	0.916481i	$-0.368983\pi$
$572$	7.04134	+	1.82702i	0.294413	+	0.0763915i
$573$	17.7575	−	18.1851i	0.741830	−	0.759692i
$574$	7.00014	−	54.8505i	0.292180	−	2.28941i
$575$	10.8675	−	18.8230i	0.453204	−	0.784973i
$576$	14.6852	+	18.9828i	0.611882	+	0.790949i
$577$	1.07337	+	1.85913i	0.0446850	+	0.0773967i	0.887503	−	0.460802i	$-0.152438\pi$
$577$	1.07337	+	1.85913i	0.0446850	+	0.0773967i	−0.842818	+	0.538199i	$0.819105\pi$
$578$	−11.0633	+	4.63401i	−0.460171	+	0.192749i
$579$	−30.5901	+	3.04336i	−1.27128	+	0.126478i
$580$	−7.13208	+	7.24606i	−0.296144	+	0.300876i
$581$	35.5615	−	29.8396i	1.47534	−	1.23796i
$582$	−0.299864	+	0.757705i	−0.0124298	+	0.0314079i
$583$	−4.20611	−	11.5562i	−0.174199	−	0.478608i
$584$	−7.63254	−	9.70575i	−0.315837	−	0.401627i
$585$	0.336060	+	1.67223i	0.0138944	+	0.0691380i
$586$	−6.15851	+	11.9458i	−0.254406	+	0.493475i
$587$	−34.2197	−	6.03386i	−1.41240	−	0.249044i	−0.585171	−	0.810910i	$-0.698973\pi$
$587$	−34.2197	−	6.03386i	−1.41240	−	0.249044i	−0.827228	+	0.561866i	$0.810084\pi$
$588$	49.8845	+	7.77982i	2.05720	+	0.320834i
$589$	7.47236	−	20.5301i	0.307893	−	0.845930i
$590$	1.35938	−	0.307025i	0.0559648	−	0.0126400i
$591$	2.74586	+	1.87439i	0.112950	+	0.0771022i
$592$	8.37509	−	15.0522i	0.344214	−	0.618644i
$593$		−	41.3775i		−	1.69917i	−0.527450	−	0.849586i	$-0.676852\pi$
$593$		−	41.3775i		−	1.69917i	0.527450	−	0.849586i	$-0.323148\pi$
$594$	25.4478	+	14.8278i	1.04414	+	0.608391i
$595$	−8.49333			−0.348193
$596$	21.1449	+	14.5574i	0.866130	+	0.596295i
$597$	12.5745	+	26.1493i	0.514638	+	1.07022i
$598$	−5.90543	+	1.33378i	−0.241491	+	0.0545424i
$599$	−31.9356	−	11.6236i	−1.30485	−	0.474928i	−0.406280	−	0.913749i	$-0.633174\pi$
$599$	−31.9356	−	11.6236i	−1.30485	−	0.474928i	−0.898575	+	0.438821i	$0.855396\pi$
$600$	−9.13148	−	20.6425i	−0.372791	−	0.842725i
$601$	−0.244918	+	1.38900i	−0.00999041	+	0.0566584i	−0.989395	−	0.145247i	$-0.953602\pi$
$601$	−0.244918	+	1.38900i	−0.00999041	+	0.0566584i	0.979405	+	0.201906i	$0.0647134\pi$
$602$	34.0541	+	17.5562i	1.38794	+	0.715538i
$603$	−30.1738	+	18.3915i	−1.22877	+	0.748960i
$604$	38.2721	−	27.2531i	1.55727	−	1.10891i
$605$	2.98128	−	1.08510i	0.121206	−	0.0441155i
$606$	10.3095	+	13.0033i	0.418796	+	0.528225i
$607$	0.276419	+	0.329424i	0.0112195	+	0.0133709i	0.771625	−	0.636078i	$-0.219444\pi$
$607$	0.276419	+	0.329424i	0.0112195	+	0.0133709i	−0.760406	+	0.649449i	$0.775000\pi$
$608$	16.8118	−	22.8326i	0.681810	−	0.925985i
$609$	−53.0248	+	38.0763i	−2.14867	+	1.54293i
$610$	−1.15652	−	2.76109i	−0.0468263	−	0.111793i
$611$	−6.26677	+	3.61812i	−0.253526	+	0.146374i
$612$	−10.4943	−	14.0192i	−0.424207	−	0.566692i
$613$	−11.9125	−	6.87769i	−0.481142	−	0.277787i	0.239750	−	0.970835i	$-0.422934\pi$
$613$	−11.9125	−	6.87769i	−0.481142	−	0.277787i	−0.720892	+	0.693047i	$0.756268\pi$
$614$	2.64588	−	20.7321i	0.106779	−	0.836679i
$615$	8.79458	−	2.46899i	0.354632	−	0.0995593i
$616$	51.5390	+	10.7846i	2.07657	+	0.434525i
$617$	−16.8375	+	2.96891i	−0.677854	+	0.119524i	−0.501967	−	0.864887i	$-0.667390\pi$
$617$	−16.8375	+	2.96891i	−0.677854	+	0.119524i	−0.175886	+	0.984410i	$0.556279\pi$
$618$	−13.7577	−	25.4351i	−0.553416	−	1.02315i
$619$	20.7852	+	17.4409i	0.835429	+	0.701008i	0.956531	−	0.291632i	$-0.0941982\pi$
$619$	20.7852	+	17.4409i	0.835429	+	0.701008i	−0.121101	+	0.992640i	$0.538643\pi$
$620$	0.519121	+	5.43683i	0.0208484	+	0.218348i
$621$	−24.4792	−	1.26377i	−0.982317	−	0.0507132i
$622$	−42.1957	+	2.00990i	−1.69189	+	0.0805896i
$623$	−7.74551	−	6.49925i	−0.310317	−	0.260387i
$624$	−2.49802	+	5.76980i	−0.100001	+	0.230977i
$625$	3.34558	+	18.9737i	0.133823	+	0.758949i
$626$	6.34536	+	1.97307i	0.253612	+	0.0788597i
$627$	8.60547	−	33.7153i	0.343669	−	1.34646i
$628$	−7.63048	−	0.606670i	−0.304489	−	0.0242088i
$629$	−6.28436	+	10.8848i	−0.250574	+	0.434006i
$630$	3.00566	+	11.9747i	0.119748	+	0.477083i
$631$	−36.5260	+	21.0883i	−1.45408	+	0.839512i	−0.998709	−	0.0507908i	$-0.983826\pi$
$631$	−36.5260	+	21.0883i	−1.45408	+	0.839512i	−0.455369	+	0.890303i	$0.650493\pi$
$632$	11.4841	+	21.4345i	0.456812	+	0.852618i
$633$	−4.84320	+	10.7173i	−0.192500	+	0.425975i
$634$	10.9565	−	10.1199i	0.435137	−	0.401914i
$635$	−5.00552	−	5.96535i	−0.198638	−	0.236728i
$636$	10.4289	−	2.05282i	0.413532	−	0.0813998i
$637$	4.52368	+	12.4287i	0.179235	+	0.492443i
$638$	−38.6916	+	24.8654i	−1.53181	+	0.984431i
$639$	−6.97891	−	17.8419i	−0.276081	−	0.705814i
$640$	−1.34158	+	6.95998i	−0.0530305	+	0.275117i
$641$	−27.2082	−	4.79753i	−1.07466	−	0.189491i	−0.391806	−	0.920048i	$-0.628150\pi$
$641$	−27.2082	−	4.79753i	−1.07466	−	0.189491i	−0.682852	+	0.730557i	$0.739261\pi$
$642$	21.5575	+	19.1338i	0.850805	+	0.755151i
$643$	−6.31128	−	2.29712i	−0.248892	−	0.0905894i	0.214561	−	0.976711i	$-0.431168\pi$
$643$	−6.31128	−	2.29712i	−0.248892	−	0.0905894i	−0.463454	+	0.886121i	$0.653390\pi$
$644$	−42.2377	+	11.6772i	−1.66440	+	0.460146i
$645$	−0.476586	+	6.31122i	−0.0187656	+	0.248504i
$646$	−12.5296	+	16.4636i	−0.492970	+	0.647751i
$647$	3.89370			0.153077			0.0765386	−	0.997067i	$-0.475613\pi$
$647$	3.89370			0.153077			0.0765386	+	0.997067i	$0.475613\pi$
$648$	−16.0518	+	19.7570i	−0.630574	+	0.776129i
$649$	6.30422			0.247462
$650$	3.58114	−	4.70553i	0.140464	−	0.184566i
$651$	−2.64050	+	34.9670i	−0.103489	+	1.37046i
$652$	−5.22569	−	18.9019i	−0.204654	−	0.740255i
$653$	46.1107	+	16.7829i	1.80445	+	0.656767i	0.997840	+	0.0656846i	$0.0209231\pi$
$653$	46.1107	+	16.7829i	1.80445	+	0.656767i	0.806611	+	0.591082i	$0.201299\pi$
$654$	7.51041	+	6.66603i	0.293680	+	0.260662i
$655$	−0.313113	−	0.0552103i	−0.0122343	−	0.00215724i
$656$	31.8195	+	11.0133i	1.24234	+	0.429996i
$657$	8.17713	−	10.2298i	0.319020	−	0.399103i
$658$	−44.0636	+	28.3177i	−1.71778	+	1.10394i
$659$	−6.99121	−	19.2082i	−0.272339	−	0.748245i	−0.998176	−	0.0603781i	$-0.980769\pi$
$659$	−6.99121	−	19.2082i	−0.272339	−	0.748245i	0.725837	−	0.687867i	$-0.241453\pi$
$660$	1.67997	+	8.53468i	0.0653927	+	0.332212i
$661$	1.63166	+	1.94453i	0.0634642	+	0.0756336i	0.796843	−	0.604187i	$-0.206502\pi$
$661$	1.63166	+	1.94453i	0.0634642	+	0.0756336i	−0.733378	+	0.679821i	$0.762058\pi$
$662$	12.4770	−	11.5244i	0.484933	−	0.447908i
$663$	1.88923	−	4.18059i	0.0733716	−	0.162361i
$664$	13.3501	+	24.9174i	0.518084	+	0.966981i
$665$	12.6319	−	7.29305i	0.489845	−	0.282812i
$666$	17.5704	+	5.00830i	0.680838	+	0.194068i
$667$	19.1386	−	33.1490i	0.741050	−	1.28354i
$668$	0.930169	−	11.6993i	0.0359893	−	0.452661i
$669$	11.9474	−	46.8084i	0.461912	−	1.80972i
$670$	−9.96568	−	3.09879i	−0.385008	−	0.119717i
$671$	−2.35147	−	13.3359i	−0.0907776	−	0.514825i
$672$	−16.0739	+	42.5768i	−0.620066	+	1.64243i
$673$	16.2031	+	13.5960i	0.624582	+	0.524087i	0.899240	−	0.437455i	$-0.144120\pi$
$673$	16.2031	+	13.5960i	0.624582	+	0.524087i	−0.274658	+	0.961542i	$0.588565\pi$
$674$	−15.0176	+	0.715329i	−0.578454	+	0.0275534i
$675$	19.1091	−	14.4231i	0.735509	−	0.555145i
$676$	24.2426	−	2.31474i	0.932409	−	0.0890286i
$677$	−9.66175	−	8.10717i	−0.371331	−	0.311584i	0.437957	−	0.898996i	$-0.355702\pi$
$677$	−9.66175	−	8.10717i	−0.371331	−	0.311584i	−0.809288	+	0.587412i	$0.800147\pi$
$678$	−0.133803	−	0.247375i	−0.00513869	−	0.00950038i
$679$	−1.52175	+	0.268325i	−0.0583992	+	0.0102974i
$680$	1.05929	−	5.06229i	0.0406220	−	0.194130i
$681$	37.5800	−	10.5502i	1.44007	−	0.404285i
$682$	−3.12768	+	24.5073i	−0.119765	+	0.938433i
$683$	−18.7608	−	10.8315i	−0.717860	−	0.414457i	0.0961043	−	0.995371i	$-0.469362\pi$
$683$	−18.7608	−	10.8315i	−0.717860	−	0.414457i	−0.813965	+	0.580914i	$0.802695\pi$
$684$	27.6459	+	11.8392i	1.05707	+	0.452682i
$685$	−4.88741	+	2.82175i	−0.186738	+	0.107813i
$686$	19.2226	+	45.8920i	0.733921	+	1.75217i
$687$	24.2825	−	17.4369i	0.926434	−	0.665258i
$688$	−14.7113	+	18.1077i	−0.560863	+	0.690348i
$689$	1.78985	+	2.13306i	0.0681877	+	0.0812630i
$690$	−4.49750	−	5.67267i	−0.171217	−	0.215955i
$691$	19.0830	−	6.94564i	0.725951	−	0.264225i	0.0475010	−	0.998871i	$-0.484874\pi$
$691$	19.0830	−	6.94564i	0.725951	−	0.264225i	0.678450	+	0.734647i	$0.262652\pi$
$692$	−20.1572	−	28.3072i	−0.766263	−	1.07608i
$693$	1.32857	+	55.8336i	0.0504684	+	2.12094i
$694$	17.4488	+	8.99557i	0.662349	+	0.341467i
$695$	2.01622	−	11.4346i	0.0764796	−	0.433738i
$696$	−16.0814	−	36.3533i	−0.609563	−	1.37797i
$697$	−23.0873	−	8.40307i	−0.874492	−	0.318289i
$698$	−28.1134	+	6.34959i	−1.06411	+	0.240336i
$699$	10.8694	+	22.6036i	0.411120	+	0.854948i
$700$	24.2716	−	35.2549i	0.917378	−	1.33251i
$701$	38.5604			1.45640			0.728202	−	0.685362i	$-0.240356\pi$
$701$	38.5604			1.45640			0.728202	+	0.685362i	$0.240356\pi$
$702$	−6.56276	−	1.18417i	−0.247695	−	0.0446934i
$703$		−	21.5850i		−	0.814093i
$704$	−12.8559	+	29.3738i	−0.484526	+	1.10707i
$705$	−7.14641	−	4.87833i	−0.269150	−	0.183728i
$706$	−4.80017	+	1.08415i	−0.180657	+	0.0408026i
$707$	−10.7623	+	29.5693i	−0.404760	+	1.11207i
$708$	−0.839616	+	5.38365i	−0.0315547	+	0.202330i
$709$	12.2287	+	2.15625i	0.459258	+	0.0809796i	0.398491	−	0.917172i	$-0.369534\pi$
$709$	12.2287	+	2.15625i	0.459258	+	0.0809796i	0.0607673	+	0.998152i	$0.480645\pi$
$710$	2.59273	−	5.02915i	0.0973033	−	0.188741i
$711$	−19.3580	+	17.0442i	−0.725981	+	0.639208i
$712$	4.83978	−	3.80597i	0.181378	−	0.142635i
$713$	−7.03246	−	19.3215i	−0.263368	−	0.723596i
$714$	12.2196	−	30.8769i	0.457308	−	1.15554i
$715$	−1.74563	+	1.46476i	−0.0652828	+	0.0547788i
$716$	3.71169	+	3.65330i	0.138712	+	0.136530i
$717$	33.6540	−	3.34817i	1.25683	−	0.125040i
$718$	−2.59270	+	1.08599i	−0.0967586	+	0.0405288i
$719$	−3.49686	−	6.05674i	−0.130411	−	0.225878i	0.793424	−	0.608669i	$-0.208296\pi$
$719$	−3.49686	−	6.05674i	−0.130411	−	0.225878i	−0.923835	+	0.382791i	$0.874963\pi$
$720$	−7.51215	+	0.297978i	−0.279961	+	0.0111050i
$721$	27.4173	−	47.4882i	1.02107	−	1.76855i
$722$	1.09639	−	8.59091i	0.0408034	−	0.319720i
$723$	2.53254	−	2.59352i	0.0941862	−	0.0964540i
$724$	9.86018	−	38.0012i	0.366451	−	1.41230i
$725$	6.49205	+	36.8182i	0.241109	+	1.36739i
$726$	−0.344472	+	12.3994i	−0.0127846	+	0.460185i
$727$	8.35207	−	9.95361i	0.309761	−	0.369159i	−0.588594	−	0.808429i	$-0.700318\pi$
$727$	8.35207	−	9.95361i	0.309761	−	0.369159i	0.898355	+	0.439270i	$0.144763\pi$
$728$	−11.8010	+	1.69662i	−0.437375	+	0.0628809i
$729$	−24.2859	−	11.7982i	−0.899476	−	0.436969i
$730$	3.86346	−	0.184028i	0.142993	−	0.00681117i
$731$	10.9424	−	13.0407i	0.404720	−	0.482327i
$732$	11.7017	−	0.231989i	0.432507	−	0.00857455i
$733$	−47.3767	+	8.35378i	−1.74990	+	0.308554i	−0.954650	−	0.297731i	$-0.903770\pi$
$733$	−47.3767	+	8.35378i	−1.74990	+	0.308554i	−0.795247	+	0.606285i	$0.792659\pi$
$734$	−1.34478	+	4.32479i	−0.0496367	+	0.159631i
$735$	−11.0493	+	11.3154i	−0.407560	+	0.417374i
$736$	−1.69207	−	26.6314i	−0.0623705	−	0.981645i
$737$	−40.8852	−	23.6051i	−1.50603	−	0.869505i
$738$	−3.67721	+	35.5243i	−0.135360	+	1.30767i
$739$	−8.56966	−	14.8431i	−0.315240	−	0.546012i	0.664249	−	0.747512i	$-0.268752\pi$
$739$	−8.56966	−	14.8431i	−0.315240	−	0.546012i	−0.979488	+	0.201500i	$0.935418\pi$
$740$	2.31909	+	4.87210i	0.0852515	+	0.179102i
$741$	0.779981	+	7.83994i	0.0286533	+	0.288007i
$742$	13.6754	+	14.8059i	0.502041	+	0.543541i
$743$	2.86000	−	2.39983i	0.104923	−	0.0880412i	−0.588817	−	0.808267i	$-0.700406\pi$
$743$	2.86000	−	2.39983i	0.104923	−	0.0880412i	0.693740	+	0.720225i	$0.255962\pi$
$744$	−20.5121	−	5.93492i	−0.752009	−	0.217585i
$745$	−7.55669	+	2.75041i	−0.276856	+	0.100767i
$746$	−2.55435	+	1.64157i	−0.0935216	+	0.0601023i
$747$	−22.5034	+	19.8137i	−0.823357	+	0.724945i
$748$	9.71914	−	21.2816i	0.355367	−	0.778132i
$749$	−9.49118	+	53.8271i	−0.346800	+	1.96680i
$750$	14.4431	+	2.96248i	0.527389	+	0.108174i
$751$	3.19769	−	8.78557i	0.116685	−	0.320590i	−0.867577	−	0.497302i	$-0.834324\pi$
$751$	3.19769	−	8.78557i	0.116685	−	0.320590i	0.984263	+	0.176712i	$0.0565462\pi$
$752$	−11.3826	−	29.7951i	−0.415082	−	1.08651i
$753$	8.70140	−	12.7470i	0.317097	−	0.464525i
$754$	6.30671	−	8.28687i	0.229677	−	0.301790i
$755$			14.7178i			0.535636i
$756$	−47.8575	−	6.30152i	−1.74056	−	0.229184i
$757$			15.4500i			0.561539i	0.959775	+	0.280770i	$0.0905897\pi$
$757$			15.4500i			0.561539i	−0.959775	+	0.280770i	$0.909410\pi$
$758$	11.5338	+	8.77775i	0.418925	+	0.318822i
$759$	−14.1918	−	29.5128i	−0.515131	−	1.07125i
$760$	2.77142	+	8.43861i	0.100530	+	0.306101i
$761$	4.45855	−	12.2498i	0.161622	−	0.444053i	−0.832275	−	0.554363i	$-0.812962\pi$
$761$	4.45855	−	12.2498i	0.161622	−	0.444053i	0.993897	+	0.110309i	$0.0351842\pi$
$762$	28.8882	−	9.61468i	1.04651	−	0.348303i
$763$	−3.30663	+	18.7529i	−0.119708	+	0.678899i
$764$	−12.1922	+	26.6968i	−0.441098	+	0.965855i
$765$	5.48411	−	0.130496i	0.198278	−	0.00471809i
$766$	17.0533	+	26.5356i	0.616160	+	0.958770i
$767$	−1.34133	+	0.488206i	−0.0484328	+	0.0176281i
$768$	−23.3723	−	14.8908i	−0.843376	−	0.537324i
$769$	−7.85539	+	6.59146i	−0.283273	+	0.237694i	−0.773341	−	0.633990i	$-0.781416\pi$
$769$	−7.85539	+	6.59146i	−0.283273	+	0.237694i	0.490069	+	0.871684i	$0.336972\pi$
$770$	−12.1167	+	11.1916i	−0.436655	+	0.403316i
$771$	−15.6187	+	11.2156i	−0.562494	+	0.403918i
$772$	32.0511	−	15.2562i	1.15355	−	0.549081i
$773$	−11.5460	−	19.9983i	−0.415281	−	0.719288i	0.580177	−	0.814491i	$-0.302983\pi$
$773$	−11.5460	−	19.9983i	−0.415281	−	0.719288i	−0.995458	+	0.0952026i	$0.969650\pi$
$774$	−22.2583	−	10.8128i	−0.800059	−	0.388657i
$775$	17.3923	+	10.0415i	0.624750	+	0.360700i
$776$	0.0298628	−	0.940473i	0.00107201	−	0.0337610i
$777$	9.36417	+	33.3553i	0.335938	+	1.19662i
$778$	−12.8542	−	3.99698i	−0.460847	−	0.143299i
$779$	41.5527	−	7.32686i	1.48878	−	0.262512i
$780$	−1.01838	−	1.68581i	−0.0364638	−	0.0603615i
$781$	16.4524	−	19.6072i	0.588712	−	0.701600i
$782$	0.926416	+	19.4491i	0.0331286	+	0.695498i
$783$	33.6529	−	25.4004i	1.20266	−	0.907737i
$784$	−57.2446	+	11.0323i	−2.04445	+	0.394010i
$785$	1.54128	−	1.83683i	0.0550107	−	0.0655593i
$786$	0.651199	−	1.05887i	0.0232275	−	0.0377686i
$787$	−2.55103	−	14.4676i	−0.0909343	−	0.515714i	−0.995918	−	0.0902670i	$-0.971228\pi$
$787$	−2.55103	−	14.4676i	−0.0909343	−	0.515714i	0.904983	−	0.425447i	$-0.139883\pi$
$788$	−3.71589	−	0.964164i	−0.132373	−	0.0343469i
$789$	−31.9320	−	8.15032i	−1.13681	−	0.290159i
$790$	−7.55611	−	0.964327i	−0.268834	−	0.0343092i
$791$	0.266653	−	0.461857i	0.00948110	−	0.0164217i
$792$	−33.4442	−	6.17171i	−1.18839	−	0.219302i
$793$	1.53306	+	2.65534i	0.0544406	+	0.0942939i
$794$	−19.8224	−	47.3241i	−0.703470	−	1.67947i
$795$	−1.37114	+	3.03413i	−0.0486293	+	0.107610i
$796$	−23.8782	−	23.5026i	−0.846340	−	0.833027i
$797$	−37.4213	+	31.4002i	−1.32553	+	1.11225i	−0.340431	+	0.940269i	$0.610573\pi$
$797$	−37.4213	+	31.4002i	−1.32553	+	1.11225i	−0.985100	+	0.171983i	$0.944983\pi$
$798$	8.33938	+	56.4152i	0.295211	+	1.99708i
$799$	7.95979	+	21.8693i	0.281597	+	0.773681i
$800$	17.9859	+	18.8636i	0.635897	+	0.666929i
$801$	5.10110	+	4.07754i	0.180239	+	0.144073i
$802$	41.5467	+	21.4190i	1.46706	+	0.756330i
$803$	17.2309	+	3.03827i	0.608064	+	0.107218i
$804$	25.6034	−	31.7712i	0.902962	−	1.12048i
$805$	4.69505	−	12.8995i	0.165479	−	0.454649i
$806$	−1.23240	−	5.45657i	−0.0434096	−	0.192200i
$807$	0.310120	−	4.10678i	0.0109167	−	0.144566i
$808$	−16.2819	−	10.1026i	−0.572797	−	0.355408i
$809$		−	22.9120i		−	0.805542i	−0.915301	−	0.402771i	$-0.868047\pi$
$809$		−	22.9120i		−	0.805542i	0.915301	−	0.402771i	$-0.131953\pi$
$810$	−2.12473	−	7.68583i	−0.0746553	−	0.270052i
$811$	28.0030			0.983320			0.491660	−	0.870787i	$-0.336390\pi$
$811$	28.0030			0.983320			0.491660	+	0.870787i	$0.336390\pi$
$812$	42.7445	−	62.0872i	1.50004	−	2.17883i
$813$	−32.4006	−	2.44670i	−1.13634	−	0.0858097i
$814$	5.37748	+	23.8093i	0.188481	+	0.834514i
$815$	5.77270	+	2.10109i	0.202209	+	0.0735980i
$816$	16.8795	+	11.1343i	0.590902	+	0.389777i
$817$	−5.07665	+	28.7911i	−0.177610	+	1.00727i
$818$	−14.2225	+	27.5876i	−0.497279	+	0.964579i
$819$	−4.60649	−	11.7767i	−0.160964	−	0.411511i
$820$	−8.59194	+	6.11822i	−0.300044	+	0.213657i
$821$	4.83141	−	1.75849i	0.168617	−	0.0613717i	−0.256332	−	0.966589i	$-0.582514\pi$
$821$	4.83141	−	1.75849i	0.168617	−	0.0613717i	0.424950	+	0.905217i	$0.360292\pi$
$822$	−3.22658	−	21.8276i	−0.112540	−	0.761324i
$823$	−13.1233	−	15.6398i	−0.457450	−	0.545168i	0.487181	−	0.873301i	$-0.338025\pi$
$823$	−13.1233	−	15.6398i	−0.457450	−	0.545168i	−0.944632	+	0.328133i	$0.893581\pi$
$824$	24.8849	+	22.2643i	0.866908	+	0.775615i
$825$	29.1474	+	13.1718i	1.01478	+	0.458585i
$826$	−9.52990	+	3.99174i	−0.331588	+	0.138890i
$827$	−7.13738	+	4.12077i	−0.248191	+	0.143293i	−0.618936	−	0.785442i	$-0.712436\pi$
$827$	−7.13738	+	4.12077i	−0.248191	+	0.143293i	0.370745	+	0.928735i	$0.379103\pi$
$828$	27.0933	−	8.18888i	0.941557	−	0.284583i
$829$	−11.9497	−	6.89919i	−0.415032	−	0.239619i	0.277918	−	0.960605i	$-0.410356\pi$
$829$	−11.9497	−	6.89919i	−0.415032	−	0.239619i	−0.692949	+	0.720986i	$0.743689\pi$
$830$	−8.78389	−	1.12102i	−0.304893	−	0.0389112i
$831$	1.77418	−	6.95104i	0.0615456	−	0.241129i
$832$	0.460589	−	7.24538i	0.0159681	−	0.251188i
$833$	41.8917	−	7.38664i	1.45146	−	0.255932i
$834$	38.6687	+	23.7811i	1.33899	+	0.823472i
$835$	2.81630	+	2.36315i	0.0974620	+	0.0817803i
$836$	3.81903	+	39.9972i	0.132084	+	1.38333i
$837$	1.16771	−	22.6186i	0.0403620	−	0.781813i
$838$	1.07438	+	22.5554i	0.0371138	+	0.779164i
$839$	−39.2115	−	32.9024i	−1.35373	−	1.13592i	−0.977863	−	0.209244i	$-0.932900\pi$
$839$	−39.2115	−	32.9024i	−1.35373	−	1.13592i	−0.375869	−	0.926673i	$-0.622656\pi$
$840$	−7.94359	−	11.8379i	−0.274080	−	0.408446i
$841$	6.39731	+	36.2809i	0.220597	+	1.25107i
$842$	12.1507	−	39.0764i	0.418740	−	1.34666i
$843$	−26.3686	+	7.40272i	−0.908183	+	0.254963i
$844$	1.07632	−	13.5375i	0.0370483	−	0.465981i
$845$	−3.81430	+	6.60656i	−0.131216	+	0.227273i
$846$	28.0166	−	18.9617i	0.963230	−	0.651916i
$847$	−20.3701	+	11.7607i	−0.699926	+	0.404102i
$848$	−10.5304	+	6.30439i	−0.361615	+	0.216494i
$849$	−8.89662	−	12.3894i	−0.305331	−	0.425202i
$850$	−12.9038	−	13.9704i	−0.442596	−	0.479182i
$851$	−13.0578	−	15.5616i	−0.447614	−	0.533446i
$852$	14.5529	+	16.6613i	0.498573	+	0.570806i
$853$	15.2286	+	41.8402i	0.521417	+	1.43258i	0.868943	+	0.494912i	$0.164800\pi$
$853$	15.2286	+	41.8402i	0.521417	+	1.43258i	−0.347526	+	0.937670i	$0.612978\pi$
$854$	11.9987	+	18.6705i	0.410588	+	0.638892i
$855$	−8.04433	+	4.90317i	−0.275110	+	0.167685i
$856$	−30.8989	−	12.3704i	−1.05610	−	0.422811i
$857$	−2.44277	−	0.430726i	−0.0834434	−	0.0147133i	0.131771	−	0.991280i	$-0.457934\pi$
$857$	−2.44277	−	0.430726i	−0.0834434	−	0.0147133i	−0.215214	+	0.976567i	$0.569045\pi$
$858$	−2.81352	−	8.45350i	−0.0960521	−	0.288598i
$859$	22.1180	+	8.05028i	0.754655	+	0.274672i	0.690563	−	0.723272i	$-0.257363\pi$
$859$	22.1180	+	8.05028i	0.754655	+	0.274672i	0.0640917	+	0.997944i	$0.479585\pi$
$860$	−1.94743	−	7.04408i	−0.0664069	−	0.240201i
$861$	−61.0328	+	29.3489i	−2.07999	+	1.00021i
$862$	−34.5537	−	26.2970i	−1.17690	−	0.895681i
$863$	24.1686			0.822708			0.411354	−	0.911476i	$-0.365056\pi$
$863$	24.1686			0.822708			0.411354	+	0.911476i	$0.365056\pi$
$864$	9.72470	−	27.7386i	0.330841	−	0.943686i
$865$	10.8858			0.370127
$866$	27.3824	+	20.8394i	0.930493	+	0.708150i
$867$	12.1330	+	8.28227i	0.412057	+	0.281280i
$868$	−10.7896	−	39.0273i	−0.366225	−	1.32467i
$869$	−32.3802	−	11.7854i	−1.09842	−	0.399793i
$870$	12.1983	+	2.50203i	0.413560	+	0.0848266i
$871$	10.5271	+	1.85620i	0.356696	+	0.0628951i
$872$	−10.7649	−	4.30972i	−0.364545	−	0.145946i
$873$	0.978462	−	0.196637i	0.0331159	−	0.00665516i
$874$	−18.0784	−	28.1307i	−0.611510	−	0.951534i
$875$	9.56217	+	26.2719i	0.323260	+	0.888151i
$876$	−4.88947	+	14.3101i	−0.165200	+	0.483493i
$877$	12.5608	+	14.9694i	0.424148	+	0.505480i	0.935224	−	0.354056i	$-0.115198\pi$
$877$	12.5608	+	14.9694i	0.424148	+	0.505480i	−0.511077	+	0.859535i	$0.670753\pi$
$878$	−15.2468	−	16.5072i	−0.514556	−	0.557090i
$879$	16.3795	−	1.62956i	0.552466	−	0.0549638i
$880$	−5.15933	−	8.61774i	−0.173921	−	0.290504i
$881$	−39.3096	+	22.6954i	−1.32437	+	0.764627i	−0.984423	−	0.175817i	$-0.943743\pi$
$881$	−39.3096	+	22.6954i	−1.32437	+	0.764627i	−0.339950	+	0.940444i	$0.610410\pi$
$882$	−25.2392	−	56.4488i	−0.849848	−	1.90073i
$883$	21.0724	−	36.4984i	0.709142	−	1.22827i	−0.256034	−	0.966668i	$-0.582416\pi$
$883$	21.0724	−	36.4984i	0.709142	−	1.22827i	0.965176	−	0.261602i	$-0.0842509\pi$
$884$	−0.419848	+	5.28070i	−0.0141210	+	0.177609i
$885$	−1.22118	−	1.19247i	−0.0410495	−	0.0400844i
$886$	8.92832	−	28.7134i	0.299953	−	0.964644i
$887$	1.04275	+	5.91374i	0.0350122	+	0.198564i	0.997297	−	0.0734815i	$-0.0234110\pi$
$887$	1.04275	+	5.91374i	0.0350122	+	0.198564i	−0.962284	+	0.272045i	$0.912300\pi$
$888$	−21.0487	+	1.42125i	−0.706349	+	0.0476940i
$889$	44.2264	+	37.1104i	1.48331	+	1.24464i
$890$	0.0917655	+	1.92652i	0.00307599	+	0.0645770i
$891$	−1.71571	−	36.0311i	−0.0574785	−	1.20709i
$892$	5.30213	+	55.5300i	0.177528	+	1.85928i
$893$	−30.6171	−	25.6908i	−1.02456	−	0.859711i
$894$	0.873138	−	31.4289i	0.0292021	−	1.05114i
$895$	−1.60663	+	0.283293i	−0.0537039	+	0.00946944i
$896$	0.834874	−	52.5437i	0.0278912	−	1.75536i
$897$	5.30507	+	5.18033i	0.177131	+	0.172966i
$898$	16.8040	+	2.14457i	0.560757	+	0.0715651i
$899$	30.6295	+	17.6839i	1.02155	+	0.589792i
$900$	−15.1304	+	23.1369i	−0.504346	+	0.771229i
$901$	7.75560	−	4.47770i	0.258377	−	0.149174i
$902$	−44.0092	+	18.4339i	−1.46535	+	0.613782i
$903$	−4.64544	−	46.6934i	−0.154590	−	1.55386i
$904$	0.242024	+	0.216537i	0.00804960	+	0.00720190i
$905$	7.90510	+	9.42093i	0.262774	+	0.313162i
$906$	−53.5056	−	21.1750i	−1.77760	−	0.703493i
$907$	−24.0330	+	8.74731i	−0.798004	+	0.290450i	−0.708659	−	0.705551i	$-0.750699\pi$
$907$	−24.0330	+	8.74731i	−0.798004	+	0.290450i	−0.0893447	+	0.996001i	$0.528477\pi$
$908$	−36.7141	+	26.1437i	−1.21840	+	0.867608i
$909$	6.49489	−	19.2581i	0.215422	−	0.638752i
$910$	1.71135	−	3.31953i	0.0567308	−	0.110042i
$911$	−4.86428	+	27.5867i	−0.161161	+	0.913988i	0.791774	+	0.610814i	$0.209158\pi$
$911$	−4.86428	+	27.5867i	−0.161161	+	0.913988i	−0.952935	+	0.303175i	$0.901953\pi$
$912$	−34.6653	−	2.06560i	−1.14788	−	0.0683988i
$913$	−37.6416	−	13.7004i	−1.24575	−	0.453418i
$914$	−8.00784	−	35.4554i	−0.264876	−	1.17276i
$915$	−2.06703	+	3.02806i	−0.0683340	+	0.100105i
$916$	−19.5746	+	28.4326i	−0.646764	+	0.939438i
$917$	2.35720			0.0778414
$918$	−7.41576	+	20.1248i	−0.244756	+	0.664218i
$919$		−	49.4765i		−	1.63208i	−0.577996	−	0.816040i	$-0.696165\pi$
$919$		−	49.4765i		−	1.63208i	0.577996	−	0.816040i	$-0.303835\pi$
$920$	7.10296	+	4.40723i	0.234178	+	0.145302i
$921$	−23.0689	+	11.0932i	−0.760145	+	0.365532i
$922$	8.03560	+	35.5783i	0.264639	+	1.17171i
$923$	−1.98213	+	5.44586i	−0.0652427	+	0.179253i
$924$	−23.2535	−	60.1510i	−0.764983	−	1.97882i
$925$	19.5400	+	3.44542i	0.642470	+	0.113285i
$926$	−30.4652	−	15.7060i	−1.00115	−	0.516132i
$927$	−16.9736	+	31.0842i	−0.557487	+	1.02094i
$928$	31.6748	+	33.2206i	1.03978	+	1.09052i
$929$	6.23688	+	17.1357i	0.204625	+	0.562203i	0.998975	−	0.0452568i	$-0.0144106\pi$
$929$	6.23688	+	17.1357i	0.204625	+	0.562203i	−0.794350	+	0.607460i	$0.792188\pi$
$930$	5.24151	−	4.15566i	0.171876	−	0.136269i
$931$	−55.9618	+	46.9575i	−1.83407	+	1.53897i
$932$	−20.6404	−	20.3158i	−0.676100	−	0.665465i
$933$	30.1774	+	42.0249i	0.987965	+	1.37583i
$934$	1.13790	+	2.71664i	0.0372334	+	0.0888911i
$935$	3.66441	+	6.34695i	0.119839	+	0.207567i
$936$	7.59380	−	1.27682i	0.248211	−	0.0417341i
$937$	−11.2761	+	19.5307i	−0.368373	+	0.638041i	−0.989311	−	0.145819i	$-0.953418\pi$
$937$	−11.2761	+	19.5307i	−0.368373	+	0.638041i	0.620938	+	0.783859i	$0.286752\pi$
$938$	76.7513	+	9.79518i	2.50602	+	0.319824i
$939$	−2.19975	−	7.83556i	−0.0717863	−	0.255704i
$940$	9.67103	+	2.50935i	0.315434	+	0.0818459i
$941$	−10.3351	−	58.6135i	−0.336916	−	1.91075i	−0.407434	−	0.913235i	$-0.633576\pi$
$941$	−10.3351	−	58.6135i	−0.336916	−	1.91075i	0.0705179	−	0.997511i	$-0.477535\pi$
$942$	4.46017	+	8.24593i	0.145320	+	0.268667i
$943$	25.5249	−	30.4194i	0.831206	−	0.990592i
$944$	−1.19063	−	6.17797i	−0.0387516	−	0.201076i
$945$	10.3038	−	11.0667i	0.335182	−	0.360001i
$946$	−1.57296	−	33.0227i	−0.0511415	−	1.07366i
$947$	−33.2910	+	39.6746i	−1.08181	+	1.28925i	−0.127045	+	0.991897i	$0.540549\pi$
$947$	−33.2910	+	39.6746i	−1.08181	+	1.28925i	−0.954767	+	0.297356i	$0.903895\pi$
$948$	14.3770	−	26.0823i	0.466942	−	0.847113i
$949$	−3.90146	+	0.687933i	−0.126647	+	0.0223312i
$950$	31.1876	+	9.69768i	1.01186	+	0.314634i
$951$	−17.6996	−	4.51765i	−0.573950	−	0.146495i
$952$	−1.21693	+	38.3248i	−0.0394408	+	1.24211i
$953$	19.9155	+	11.4982i	0.645125	+	0.372463i	0.786586	−	0.617481i	$-0.211847\pi$
$953$	19.9155	+	11.4982i	0.645125	+	0.372463i	−0.141461	+	0.989944i	$0.545180\pi$
$954$	−9.05766	−	9.34998i	−0.293253	−	0.302717i
$955$	−4.59683	−	7.96194i	−0.148750	−	0.257642i
$956$	−35.2613	+	16.7842i	−1.14043	+	0.542839i
$957$	51.3312	+	23.1968i	1.65930	+	0.749847i
$958$	11.9806	−	11.0659i	0.387077	−	0.357524i
$959$	32.0515	−	26.8944i	1.03500	−	0.868464i
$960$	8.04648	−	3.25820i	0.259699	−	0.105158i
$961$	−11.2775	+	4.10469i	−0.363791	+	0.132409i
$962$	−2.98797	−	4.64940i	−0.0963360	−	0.149903i
$963$	5.30139	−	34.9018i	0.170835	−	1.12469i
$964$	−1.73883	+	3.80744i	−0.0560039	+	0.122629i
$965$	−1.93088	+	10.9505i	−0.0621571	+	0.352511i
$966$	40.1404	+	35.6275i	1.29150	+	1.14630i
$967$	−5.56318	+	15.2847i	−0.178900	+	0.491523i	−0.996436	−	0.0843543i	$-0.973117\pi$
$967$	−5.56318	+	15.2847i	−0.178900	+	0.491523i	0.817536	+	0.575877i	$0.195339\pi$
$968$	−4.46917	−	13.6080i	−0.143645	−	0.437379i
$969$	25.2670	+	1.90801i	0.811692	+	0.0612942i
$970$	0.234553	+	0.178507i	0.00753106	+	0.00573150i
$971$		−	38.0842i		−	1.22218i	−0.791561	−	0.611090i	$-0.790731\pi$
$971$		−	38.0842i		−	1.22218i	0.791561	−	0.611090i	$-0.209269\pi$
$972$	30.9982	+	3.33356i	0.994267	+	0.106924i
$973$			86.0823i			2.75967i
$974$	−25.0390	+	32.9007i	−0.802302	+	1.05421i
$975$	−7.22166	−	0.545337i	−0.231278	−	0.0174648i
$976$	−12.6247	+	4.82302i	−0.404106	+	0.154381i
$977$	−10.6918	+	29.3754i	−0.342060	+	0.939803i	0.642736	+	0.766088i	$0.277799\pi$
$977$	−10.6918	+	29.3754i	−0.342060	+	0.939803i	−0.984796	+	0.173715i	$0.944423\pi$
$978$	−15.9437	+	17.9633i	−0.509824	+	0.574403i
$979$	−1.51503	+	8.59219i	−0.0484207	+	0.274608i
$980$	7.58640	−	16.6116i	0.242339	−	0.530639i
$981$	1.84695	−	12.1594i	0.0589686	−	0.388221i
$982$	−6.12521	+	3.93641i	−0.195463	+	0.125616i
$983$	−52.5891	+	19.1409i	−1.67733	+	0.610498i	−0.992940	−	0.118617i	$-0.962154\pi$
$983$	−52.5891	+	19.1409i	−1.67733	+	0.610498i	−0.684390	+	0.729116i	$0.739932\pi$
$984$	−9.88083	−	40.0379i	−0.314989	−	1.27636i
$985$	0.921212	−	0.772989i	0.0293523	−	0.0246295i
$986$	−22.7248	−	24.6032i	−0.723704	−	0.783527i
$987$	58.4581	+	26.4175i	1.86074	+	0.840879i
$988$	−3.91000	−	8.21437i	−0.124394	−	0.261334i
$989$	13.7571	+	23.8280i	0.437450	+	0.757685i
$990$	7.65174	−	7.41252i	0.243188	−	0.235585i
$991$	33.9036	+	19.5742i	1.07698	+	0.621796i	0.930081	−	0.367355i	$-0.119737\pi$
$991$	33.9036	+	19.5742i	1.07698	+	0.621796i	0.146901	+	0.989151i	$0.453070\pi$
$992$	24.6072	−	1.56346i	0.781279	−	0.0496399i
$993$	−20.1560	−	5.14461i	−0.639631	−	0.163259i
$994$	−12.4556	+	40.0570i	−0.395067	+	1.27053i
$995$	10.3359	−	1.82249i	0.327669	−	0.0577769i
$996$	16.7130	−	30.3203i	0.529573	−	0.960737i
$997$	9.08868	−	10.8315i	0.287841	−	0.343036i	−0.602675	−	0.797986i	$-0.705899\pi$
$997$	9.08868	−	10.8315i	0.287841	−	0.343036i	0.890517	+	0.454950i	$0.150343\pi$
$998$	−35.8847	+	1.70929i	−1.13591	+	0.0541066i
$999$	−6.55890	−	21.3935i	−0.207514	−	0.676861i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	216.2.v.b.11.26	yes	192
3.2	odd	2		648.2.v.b.35.7		192
4.3	odd	2		864.2.bh.b.335.13		192
8.3	odd	2	inner	216.2.v.b.11.9	✓	192
8.5	even	2		864.2.bh.b.335.14		192
24.11	even	2		648.2.v.b.35.24		192
27.5	odd	18	inner	216.2.v.b.59.9	yes	192
27.22	even	9		648.2.v.b.611.24		192
108.59	even	18		864.2.bh.b.815.14		192
216.5	odd	18		864.2.bh.b.815.13		192
216.59	even	18	inner	216.2.v.b.59.26	yes	192
216.211	odd	18		648.2.v.b.611.7		192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
216.2.v.b.11.9	✓	192	8.3	odd	2	inner
216.2.v.b.11.26	yes	192	1.1	even	1	trivial
216.2.v.b.59.9	yes	192	27.5	odd	18	inner
216.2.v.b.59.26	yes	192	216.59	even	18	inner
648.2.v.b.35.7		192	3.2	odd	2
648.2.v.b.35.24		192	24.11	even	2
648.2.v.b.611.7		192	216.211	odd	18
648.2.v.b.611.24		192	27.22	even	9
864.2.bh.b.335.13		192	4.3	odd	2
864.2.bh.b.335.14		192	8.5	even	2
864.2.bh.b.815.13		192	216.5	odd	18
864.2.bh.b.815.14		192	108.59	even	18

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 216 = 2^{3} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	216.v (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.12537 + 0.856465i) q^{2} +(0.130423 - 1.72713i) q^{3} +(0.532936 + 1.92769i) q^{4} +(-0.588722 - 0.214277i) q^{5} +(1.62600 - 1.83197i) q^{6} +(4.57427 + 0.806567i) q^{7} +(-1.05124 + 2.62581i) q^{8} +(-2.96598 - 0.450516i) q^{9} +(-0.479012 - 0.745362i) q^{10} +(-1.37081 - 3.76628i) q^{11} +(3.39888 - 0.669037i) q^{12} +(0.583330 + 0.695185i) q^{13} +(4.45697 + 4.82539i) q^{14} +(-0.446868 + 0.988855i) q^{15} +(-3.43196 + 2.05467i) q^{16} +(2.52763 - 1.45933i) q^{17} +(-2.95199 - 3.04726i) q^{18} +(-2.50619 + 4.34085i) q^{19} +(0.0993086 - 1.24907i) q^{20} +(1.98964 - 7.79518i) q^{21} +(1.68301 - 5.41253i) q^{22} +(0.819150 + 4.64563i) q^{23} +(4.39802 + 2.15810i) q^{24} +(-3.52954 - 2.96164i) q^{25} +(0.0610627 + 1.28195i) q^{26} +(-1.16493 + 5.06389i) q^{27} +(0.882983 + 9.24761i) q^{28} +(-6.21586 - 5.21572i) q^{29} +(-1.34981 + 0.730105i) q^{30} +(-4.29253 + 0.756889i) q^{31} +(-5.62199 - 0.627081i) q^{32} +(-6.68365 + 1.87637i) q^{33} +(4.09440 + 0.522536i) q^{34} +(-2.52015 - 1.45501i) q^{35} +(-0.712224 - 5.95758i) q^{36} +(-3.72940 + 2.15317i) q^{37} +(-6.53819 + 2.73862i) q^{38} +(1.27676 - 0.916820i) q^{39} +(1.18154 - 1.32062i) q^{40} +(-5.41092 - 6.44848i) q^{41} +(8.91539 - 7.06844i) q^{42} +(5.48086 - 1.99487i) q^{43} +(6.52965 - 4.64969i) q^{44} +(1.64960 + 0.900771i) q^{45} +(-3.05697 + 5.92965i) q^{46} +(-1.38464 + 7.85268i) q^{47} +(3.10108 + 6.19543i) q^{48} +(13.6955 + 4.98477i) q^{49} +(-1.43552 - 6.35588i) q^{50} +(-2.19079 - 4.55589i) q^{51} +(-1.02922 + 1.49497i) q^{52} +3.06833 q^{53} +(-5.64803 + 4.70104i) q^{54} +2.51103i q^{55} +(-6.92657 + 11.1633i) q^{56} +(7.17036 + 4.89467i) q^{57} +(-2.52808 - 11.1933i) q^{58} +(-0.537968 + 1.47805i) q^{59} +(-2.14436 - 0.334426i) q^{60} +(3.32732 + 0.586696i) q^{61} +(-5.47895 - 2.82462i) q^{62} +(-13.2038 - 4.45304i) q^{63} +(-5.78977 - 5.52074i) q^{64} +(-0.194457 - 0.534265i) q^{65} +(-9.12866 - 3.61270i) q^{66} +(9.02325 - 7.57140i) q^{67} +(4.16020 + 4.09475i) q^{68} +(8.13046 - 0.808885i) q^{69} +(-1.58995 - 3.79584i) q^{70} +(3.19304 + 5.53051i) q^{71} +(4.30094 - 7.31450i) q^{72} +(-2.18272 + 3.78059i) q^{73} +(-6.04108 - 0.770976i) q^{74} +(-5.57548 + 5.70973i) q^{75} +(-9.70344 - 2.51776i) q^{76} +(-3.23271 - 18.3336i) q^{77} +(2.22205 + 0.0617317i) q^{78} +(5.52630 - 6.58598i) q^{79} +(2.46074 - 0.474238i) q^{80} +(8.59407 + 2.67244i) q^{81} +(-0.566412 - 11.8912i) q^{82} +(6.42426 - 7.65613i) q^{83} +(16.0870 - 0.318929i) q^{84} +(-1.80077 + 0.317525i) q^{85} +(7.87656 + 2.44919i) q^{86} +(-9.81894 + 10.0554i) q^{87} +(11.3306 + 0.359781i) q^{88} +(-1.88520 - 1.08842i) q^{89} +(1.08494 + 2.42653i) q^{90} +(2.10759 + 3.65046i) q^{91} +(-8.51877 + 4.05489i) q^{92} +(0.747404 + 7.51249i) q^{93} +(-8.28379 + 7.65132i) q^{94} +(2.40560 - 2.01853i) q^{95} +(-1.81629 + 9.62814i) q^{96} +(-0.312612 + 0.113782i) q^{97} +(11.1433 + 17.3395i) q^{98} +(2.36904 + 11.7883i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 6 q^{2} - 12 q^{3} - 6 q^{4} - 6 q^{6} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 30 q^{11} - 3 q^{12} + 9 q^{14} - 6 q^{16} - 18 q^{17} + 63 q^{18} - 6 q^{19} - 27 q^{20} - 18 q^{22} - 30 q^{24} - 12 q^{25}+ \cdots - 12 q^{99}+O(q^{100}) \) 192 * q - 6 * q^2 - 12 * q^3 - 6 * q^4 - 6 * q^6 - 9 * q^8 - 12 * q^9 - 3 * q^10 - 30 * q^11 - 3 * q^12 + 9 * q^14 - 6 * q^16 - 18 * q^17 + 63 * q^18 - 6 * q^19 - 27 * q^20 - 18 * q^22 - 30 * q^24 - 12 * q^25 + 18 * q^27 - 12 * q^28 - 21 * q^30 - 36 * q^32 - 30 * q^33 + 12 * q^34 - 18 * q^35 - 36 * q^36 - 102 * q^38 + 9 * q^40 + 18 * q^41 - 6 * q^42 - 42 * q^43 - 81 * q^44 - 3 * q^46 - 81 * q^48 - 12 * q^49 + 57 * q^50 - 18 * q^51 + 21 * q^52 + 78 * q^54 - 69 * q^56 - 36 * q^57 - 33 * q^58 - 84 * q^59 - 54 * q^60 + 90 * q^62 - 51 * q^64 - 12 * q^65 + 87 * q^66 + 30 * q^67 + 63 * q^68 - 33 * q^70 + 12 * q^72 - 6 * q^73 + 51 * q^74 - 96 * q^75 + 30 * q^76 + 90 * q^78 - 12 * q^81 - 12 * q^82 - 72 * q^83 - 48 * q^84 + 42 * q^86 - 78 * q^88 + 144 * q^89 + 120 * q^90 - 6 * q^91 - 3 * q^92 - 33 * q^94 - 78 * q^96 - 42 * q^97 + 162 * q^98 - 12 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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