LMFDB - Embedded newform 99.2.m.b.31.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(4,99)]

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([10, 6]))

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

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

chi := DirichletCharacter("99.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, 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:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			31.1
Character	$\chi$	$=$	99.31
Dual form			99.2.m.b.16.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.27811 + 0.484227i) q^{2} +(1.65119 + 0.523037i) q^{3} +(3.12821 - 1.39277i) q^{4} +(0.310092 + 0.0659121i) q^{5} +(-4.01486 - 0.391985i) q^{6} +(0.148273 - 1.41072i) q^{7} +(-2.68358 + 1.94973i) q^{8} +(2.45286 + 1.72727i) q^{9} -0.738340 q^{10} +(1.02493 + 3.15429i) q^{11} +(5.89374 - 0.663556i) q^{12} +(2.80837 + 3.11901i) q^{13} +(0.345328 + 3.28557i) q^{14} +(0.477547 + 0.271023i) q^{15} +(0.586822 - 0.651731i) q^{16} +(-1.92957 - 5.93860i) q^{17} +(-6.42428 - 2.74716i) q^{18} +(-2.50622 + 1.82087i) q^{19} +(1.06183 - 0.225700i) q^{20} +(0.982687 - 2.25182i) q^{21} +(-3.86228 - 6.68951i) q^{22} +(2.26025 - 3.91487i) q^{23} +(-5.45088 + 1.81577i) q^{24} +(-4.47591 - 1.99281i) q^{25} +(-7.90807 - 5.74555i) q^{26} +(3.14672 + 4.13499i) q^{27} +(-1.50098 - 4.61954i) q^{28} +(-0.306106 + 2.91240i) q^{29} +(-1.21914 - 0.386179i) q^{30} +(-6.38469 - 7.09091i) q^{31} +(2.29583 - 3.97649i) q^{32} +(0.0425387 + 5.74441i) q^{33} +(7.27140 + 12.5944i) q^{34} +(0.138962 - 0.427681i) q^{35} +(10.0788 + 1.98699i) q^{36} +(-0.685637 - 0.498145i) q^{37} +(4.82772 - 5.36173i) q^{38} +(3.00579 + 6.61896i) q^{39} +(-0.960667 + 0.427717i) q^{40} +(0.404484 + 3.84841i) q^{41} +(-1.14828 + 5.60573i) q^{42} +(-1.77651 - 3.07700i) q^{43} +(7.59937 + 8.43978i) q^{44} +(0.646766 + 0.697286i) q^{45} +(-3.25341 + 10.0130i) q^{46} +(-6.80683 - 3.03059i) q^{47} +(1.30983 - 0.769203i) q^{48} +(4.87888 + 1.03704i) q^{49} +(11.1616 + 2.37247i) q^{50} +(-0.0799760 - 10.8150i) q^{51} +(13.1292 + 5.84550i) q^{52} +(2.06517 - 6.35595i) q^{53} +(-9.17084 - 7.89623i) q^{54} +(0.109916 + 1.04568i) q^{55} +(2.35263 + 4.07487i) q^{56} +(-5.09063 + 1.69577i) q^{57} +(-0.712921 - 6.78299i) q^{58} +(-11.0309 + 4.91125i) q^{59} +(1.87134 + 0.182705i) q^{60} +(3.09160 - 3.43357i) q^{61} +(17.9786 + 13.0622i) q^{62} +(2.80039 - 3.20420i) q^{63} +(-3.84663 + 11.8387i) q^{64} +(0.665272 + 1.15229i) q^{65} +(-2.87850 - 13.0658i) q^{66} +(-4.98385 + 8.63229i) q^{67} +(-14.3072 - 15.8897i) q^{68} +(5.77972 - 5.28200i) q^{69} +(-0.109476 + 1.04159i) q^{70} +(0.905630 + 2.78724i) q^{71} +(-9.95016 + 0.147169i) q^{72} +(-3.43158 - 2.49319i) q^{73} +(1.80317 + 0.802823i) q^{74} +(-6.34828 - 5.63157i) q^{75} +(-5.30392 + 9.18665i) q^{76} +(4.60179 - 0.978190i) q^{77} +(-10.0526 - 13.6232i) q^{78} +(3.30808 - 0.703155i) q^{79} +(0.224926 - 0.163418i) q^{80} +(3.03308 + 8.47351i) q^{81} +(-2.78496 - 8.57123i) q^{82} +(-9.02488 + 10.0231i) q^{83} +(-0.0622120 - 8.41282i) q^{84} +(-0.206918 - 1.96870i) q^{85} +(5.53705 + 6.14951i) q^{86} +(-2.02873 + 4.64883i) q^{87} +(-8.90048 - 6.46644i) q^{88} +2.69745 q^{89} +(-1.81105 - 1.27531i) q^{90} +(4.81645 - 3.49936i) q^{91} +(1.61803 - 15.3945i) q^{92} +(-6.83352 - 15.0479i) q^{93} +(16.9742 + 3.60797i) q^{94} +(-0.897177 + 0.399449i) q^{95} +(5.87070 - 5.36514i) q^{96} +(5.14256 - 1.09308i) q^{97} -11.6168 q^{98} +(-2.93430 + 9.50736i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

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

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−2.27811	+	0.484227i	−1.61087	+	0.342400i	−0.923407	−	0.383823i	$-0.874607\pi$
$2$	−2.27811	+	0.484227i	−1.61087	+	0.342400i	−0.687459	+	0.726223i	$0.741274\pi$
$3$	1.65119	+	0.523037i	0.953316	+	0.301976i
$3$	1.65119	+	0.523037i	0.953316	+	0.301976i
$4$	3.12821	−	1.39277i	1.56410	−	0.696384i
$5$	0.310092	+	0.0659121i	0.138677	+	0.0294768i	0.276727	−	0.960948i	$-0.410750\pi$
$5$	0.310092	+	0.0659121i	0.138677	+	0.0294768i	−0.138050	+	0.990425i	$0.544083\pi$
$6$	−4.01486	−	0.391985i	−1.63906	−	0.160027i
$7$	0.148273	−	1.41072i	0.0560419	−	0.533203i	−0.930101	−	0.367304i	$-0.880281\pi$
$7$	0.148273	−	1.41072i	0.0560419	−	0.533203i	0.986143	−	0.165899i	$-0.0530525\pi$
$8$	−2.68358	+	1.94973i	−0.948787	+	0.689334i
$9$	2.45286	+	1.72727i	0.817621	+	0.575756i
$10$	−0.738340			−0.233484
$11$	1.02493	+	3.15429i	0.309027	+	0.951053i
$11$	1.02493	+	3.15429i	0.309027	+	0.951053i
$12$	5.89374	−	0.663556i	1.70138	−	0.191552i
$13$	2.80837	+	3.11901i	0.778901	+	0.865057i	0.993754	−	0.111590i	$-0.0355942\pi$
$13$	2.80837	+	3.11901i	0.778901	+	0.865057i	−0.214854	+	0.976646i	$0.568928\pi$
$14$	0.345328	+	3.28557i	0.0922927	+	0.878107i
$15$	0.477547	+	0.271023i	0.123302	+	0.0699779i
$16$	0.586822	−	0.651731i	0.146705	−	0.162933i
$17$	−1.92957	−	5.93860i	−0.467989	−	1.44032i	−0.855184	−	0.518325i	$-0.826556\pi$
$17$	−1.92957	−	5.93860i	−0.467989	−	1.44032i	0.387195	−	0.921998i	$-0.373444\pi$
$18$	−6.42428	−	2.74716i	−1.51422	−	0.647513i
$19$	−2.50622	+	1.82087i	−0.574966	+	0.417737i	−0.836906	−	0.547347i	$-0.815638\pi$
$19$	−2.50622	+	1.82087i	−0.574966	+	0.417737i	0.261940	+	0.965084i	$0.415638\pi$
$20$	1.06183	−	0.225700i	0.237433	−	0.0504680i
$21$	0.982687	−	2.25182i	0.214440	−	0.491387i
$22$	−3.86228	−	6.68951i	−0.823441	−	1.42621i
$23$	2.26025	−	3.91487i	0.471295	−	0.816306i	−0.528166	−	0.849141i	$-0.677120\pi$
$23$	2.26025	−	3.91487i	0.471295	−	0.816306i	0.999461	+	0.0328349i	$0.0104536\pi$
$24$	−5.45088	+	1.81577i	−1.11266	+	0.370642i
$25$	−4.47591	−	1.99281i	−0.895183	−	0.398561i
$26$	−7.90807	−	5.74555i	−1.55090	−	1.12679i
$27$	3.14672	+	4.13499i	0.605587	+	0.795779i
$28$	−1.50098	−	4.61954i	−0.283659	−	0.873011i
$29$	−0.306106	+	2.91240i	−0.0568424	+	0.540820i	0.928633	+	0.371000i	$0.120985\pi$
$29$	−0.306106	+	2.91240i	−0.0568424	+	0.540820i	−0.985475	+	0.169819i	$0.945682\pi$
$30$	−1.21914	−	0.386179i	−0.222584	−	0.0705064i
$31$	−6.38469	−	7.09091i	−1.14672	−	1.27357i	−0.956470	−	0.291830i	$-0.905736\pi$
$31$	−6.38469	−	7.09091i	−1.14672	−	1.27357i	−0.190253	−	0.981735i	$-0.560931\pi$
$32$	2.29583	−	3.97649i	0.405848	−	0.702950i
$33$	0.0425387	+	5.74441i	0.00740504	+	0.999973i
$34$	7.27140	+	12.5944i	1.24703	+	2.15993i
$35$	0.138962	−	0.427681i	0.0234889	−	0.0722913i
$36$	10.0788	+	1.98699i	1.67979	+	0.331165i
$37$	−0.685637	−	0.498145i	−0.112718	−	0.0818945i	0.529998	−	0.847999i	$-0.322193\pi$
$37$	−0.685637	−	0.498145i	−0.112718	−	0.0818945i	−0.642716	+	0.766104i	$0.722193\pi$
$38$	4.82772	−	5.36173i	0.783159	−	0.869787i
$39$	3.00579	+	6.61896i	0.481312	+	1.05988i
$40$	−0.960667	+	0.427717i	−0.151895	+	0.0676279i
$41$	0.404484	+	3.84841i	0.0631698	+	0.601021i	0.979618	+	0.200868i	$0.0643763\pi$
$41$	0.404484	+	3.84841i	0.0631698	+	0.601021i	−0.916448	+	0.400153i	$0.868957\pi$
$42$	−1.14828	+	5.60573i	−0.177183	+	0.864983i
$43$	−1.77651	−	3.07700i	−0.270915	−	0.469239i	0.698181	−	0.715921i	$-0.253993\pi$
$43$	−1.77651	−	3.07700i	−0.270915	−	0.469239i	−0.969096	+	0.246682i	$0.920660\pi$
$44$	7.59937	+	8.43978i	1.14565	+	1.27235i
$45$	0.646766	+	0.697286i	0.0964142	+	0.103945i
$46$	−3.25341	+	10.0130i	−0.479689	+	1.47633i
$47$	−6.80683	−	3.03059i	−0.992878	−	0.442058i	−0.154999	−	0.987915i	$-0.549538\pi$
$47$	−6.80683	−	3.03059i	−0.992878	−	0.442058i	−0.837878	+	0.545857i	$0.816204\pi$
$48$	1.30983	−	0.769203i	0.189058	−	0.111025i
$49$	4.87888	+	1.03704i	0.696983	+	0.148148i
$50$	11.1616	+	2.37247i	1.57849	+	0.335518i
$51$	−0.0799760	−	10.8150i	−0.0111989	−	1.51440i
$52$	13.1292	+	5.84550i	1.82069	+	0.810625i
$53$	2.06517	−	6.35595i	0.283673	−	0.873057i	−0.703120	−	0.711071i	$-0.748210\pi$
$53$	2.06517	−	6.35595i	0.283673	−	0.873057i	0.986793	−	0.161986i	$-0.0517898\pi$
$54$	−9.17084	−	7.89623i	−1.24799	−	1.07454i
$55$	0.109916	+	1.04568i	0.0148210	+	0.140999i
$56$	2.35263	+	4.07487i	0.314383	+	0.544528i
$57$	−5.09063	+	1.69577i	−0.674270	+	0.224610i
$58$	−0.712921	−	6.78299i	−0.0936111	−	0.890650i
$59$	−11.0309	+	4.91125i	−1.43609	+	0.639391i	−0.969502	−	0.245082i	$-0.921185\pi$
$59$	−11.0309	+	4.91125i	−1.43609	+	0.639391i	−0.466592	+	0.884473i	$0.654518\pi$
$60$	1.87134	+	0.182705i	0.241589	+	0.0235872i
$61$	3.09160	−	3.43357i	0.395838	−	0.439623i	−0.511973	−	0.859001i	$-0.671085\pi$
$61$	3.09160	−	3.43357i	0.395838	−	0.439623i	0.907812	+	0.419378i	$0.137752\pi$
$62$	17.9786	+	13.0622i	2.28329	+	1.65890i
$63$	2.80039	−	3.20420i	0.352816	−	0.403691i
$64$	−3.84663	+	11.8387i	−0.480828	+	1.47984i
$65$	0.665272	+	1.15229i	0.0825169	+	0.142923i
$66$	−2.87850	−	13.0658i	−0.354319	−	1.60829i
$67$	−4.98385	+	8.63229i	−0.608875	+	1.05460i	0.382552	+	0.923934i	$0.375045\pi$
$67$	−4.98385	+	8.63229i	−0.608875	+	1.05460i	−0.991426	+	0.130668i	$0.958288\pi$
$68$	−14.3072	−	15.8897i	−1.73500	−	1.92691i
$69$	5.77972	−	5.28200i	0.695797	−	0.635878i
$70$	−0.109476	+	1.04159i	−0.0130849	+	0.124494i
$71$	0.905630	+	2.78724i	0.107479	+	0.330785i	0.990304	−	0.138916i	$-0.0443618\pi$
$71$	0.905630	+	2.78724i	0.107479	+	0.330785i	−0.882826	+	0.469701i	$0.844362\pi$
$72$	−9.95016	+	0.147169i	−1.17264	+	0.0173440i
$73$	−3.43158	−	2.49319i	−0.401636	−	0.291806i	0.368571	−	0.929600i	$-0.379847\pi$
$73$	−3.43158	−	2.49319i	−0.401636	−	0.291806i	−0.770207	+	0.637794i	$0.779847\pi$
$74$	1.80317	+	0.802823i	0.209614	+	0.0933263i
$75$	−6.34828	−	5.63157i	−0.733036	−	0.650278i
$76$	−5.30392	+	9.18665i	−0.608401	+	1.05378i
$77$	4.60179	−	0.978190i	0.524423	−	0.111475i
$78$	−10.0526	−	13.6232i	−1.13823	−	1.54252i
$79$	3.30808	−	0.703155i	0.372188	−	0.0791111i	−0.0180200	−	0.999838i	$-0.505736\pi$
$79$	3.30808	−	0.703155i	0.372188	−	0.0791111i	0.390208	+	0.920727i	$0.372403\pi$
$80$	0.224926	−	0.163418i	0.0251475	−	0.0182707i
$81$	3.03308	+	8.47351i	0.337009	+	0.941501i
$82$	−2.78496	−	8.57123i	−0.307548	−	0.946534i
$83$	−9.02488	+	10.0231i	−0.990609	+	1.10018i	0.00435860	+	0.999991i	$0.498613\pi$
$83$	−9.02488	+	10.0231i	−0.990609	+	1.10018i	−0.994968	+	0.100193i	$0.968054\pi$
$84$	−0.0622120	−	8.41282i	−0.00678788	−	0.917913i
$85$	−0.206918	−	1.96870i	−0.0224435	−	0.213535i
$86$	5.53705	+	6.14951i	0.597075	+	0.663119i
$87$	−2.02873	+	4.64883i	−0.217503	+	0.498407i
$88$	−8.90048	−	6.46644i	−0.948795	−	0.689325i
$89$	2.69745			0.285929			0.142965	−	0.989728i	$-0.454336\pi$
$89$	2.69745			0.285929			0.142965	+	0.989728i	$0.454336\pi$
$90$	−1.81105	−	1.27531i	−0.190901	−	0.134430i
$91$	4.81645	−	3.49936i	0.504902	−	0.366833i
$92$	1.61803	−	15.3945i	0.168691	−	1.60499i
$93$	−6.83352	−	15.0479i	−0.708603	−	1.56039i
$94$	16.9742	+	3.60797i	1.75075	+	0.372134i
$95$	−0.897177	+	0.399449i	−0.0920484	+	0.0409826i
$96$	5.87070	−	5.36514i	0.599176	−	0.547577i
$97$	5.14256	−	1.09308i	0.522147	−	0.110986i	0.0607045	−	0.998156i	$-0.480665\pi$
$97$	5.14256	−	1.09308i	0.522147	−	0.110986i	0.461443	+	0.887170i	$0.347332\pi$
$98$	−11.6168			−1.17347
$99$	−2.93430	+	9.50736i	−0.294908	+	0.955526i
$100$	−16.7771			−1.67771
$101$	9.32150	−	1.98135i	0.927524	−	0.197151i	0.280704	−	0.959794i	$-0.409432\pi$
$101$	9.32150	−	1.98135i	0.927524	−	0.197151i	0.646819	+	0.762643i	$0.276099\pi$
$102$	5.41911	+	24.5990i	0.536572	+	2.43567i
$103$	8.71123	−	3.87849i	0.858343	−	0.382159i	0.0701126	−	0.997539i	$-0.477664\pi$
$103$	8.71123	−	3.87849i	0.858343	−	0.382159i	0.788231	+	0.615380i	$0.210997\pi$
$104$	−13.6177	−	2.89453i	−1.33532	−	0.283832i
$105$	0.453146	−	0.633501i	0.0442225	−	0.0618233i
$106$	−1.62697	+	15.4796i	−0.158025	+	1.50351i
$107$	−4.18472	+	3.04038i	−0.404552	+	0.293924i	−0.771393	−	0.636359i	$-0.780440\pi$
$107$	−4.18472	+	3.04038i	−0.404552	+	0.293924i	0.366840	+	0.930284i	$0.380440\pi$
$108$	15.6027	+	8.55246i	1.50137	+	0.822961i
$109$	14.4767			1.38661			0.693307	−	0.720643i	$-0.256153\pi$
$109$	14.4767			1.38661			0.693307	+	0.720643i	$0.256153\pi$
$110$	−0.756744	−	2.32894i	−0.0721527	−	0.222055i
$111$	−0.871570	−	1.18115i	−0.0827258	−	0.112109i
$112$	−0.832402	−	0.924476i	−0.0786546	−	0.0873548i
$113$	0.776815	+	7.39090i	0.0730766	+	0.695277i	0.968322	+	0.249704i	$0.0803334\pi$
$113$	0.776815	+	7.39090i	0.0730766	+	0.695277i	−0.895246	+	0.445573i	$0.853000\pi$
$114$	10.7759	−	6.32816i	1.00925	−	0.592686i
$115$	0.958923	−	1.06499i	0.0894200	−	0.0993110i
$116$	3.09874	+	9.53694i	0.287711	+	0.885482i
$117$	1.50118	+	12.5013i	0.138784	+	1.15575i
$118$	22.7513	−	16.5298i	2.09443	−	1.52169i
$119$	−8.66382	+	1.84155i	−0.794211	+	0.168815i
$120$	−1.80996	+	0.203777i	−0.165226	+	0.0186022i
$121$	−8.89905	+	6.46582i	−0.809005	+	0.587802i
$122$	−5.38037	+	9.31907i	−0.487116	+	0.843709i
$123$	−1.34498	+	6.56602i	−0.121273	+	0.592038i
$124$	−29.8486	−	13.2895i	−2.68049	−	1.19343i
$125$	−2.53897	−	1.84467i	−0.227092	−	0.164992i
$126$	−4.82803	+	8.65554i	−0.430115	+	0.771097i
$127$	−4.08040	−	12.5582i	−0.362077	−	1.11436i	−0.951791	−	0.306746i	$-0.900760\pi$
$127$	−4.08040	−	12.5582i	−0.362077	−	1.11436i	0.589715	−	0.807612i	$-0.299240\pi$
$128$	2.07050	−	19.6995i	0.183008	−	1.74120i
$129$	−1.32397	−	6.00990i	−0.116569	−	0.529142i
$130$	−2.07353	−	2.30289i	−0.181861	−	0.201977i
$131$	3.65021	−	6.32236i	0.318921	−	0.552387i	−0.661342	−	0.750084i	$-0.730013\pi$
$131$	3.65021	−	6.32236i	0.318921	−	0.552387i	0.980263	+	0.197697i	$0.0633463\pi$
$132$	8.13369	+	17.9105i	0.707947	+	1.55890i
$133$	2.19714	+	3.80556i	0.190516	+	0.329984i
$134$	7.17377	−	22.0786i	0.619719	−	1.90730i
$135$	0.703228	+	1.48964i	0.0605242	+	0.128207i
$136$	16.7568	+	12.1746i	1.43689	+	1.04396i
$137$	6.56239	−	7.28827i	0.560662	−	0.622679i	−0.394452	−	0.918917i	$-0.629065\pi$
$137$	6.56239	−	7.28827i	0.560662	−	0.622679i	0.955114	+	0.296238i	$0.0957321\pi$
$138$	−10.6092	+	14.8317i	−0.903111	+	1.26255i
$139$	−8.65757	+	3.85460i	−0.734326	+	0.326943i	−0.739603	−	0.673043i	$-0.764987\pi$
$139$	−8.65757	+	3.85460i	−0.734326	+	0.326943i	0.00527735	+	0.999986i	$0.498320\pi$
$140$	−0.160958	−	1.53142i	−0.0136035	−	0.129428i
$141$	−9.65426	−	8.56431i	−0.813035	−	0.721245i
$142$	−3.41278	−	5.91111i	−0.286394	−	0.496049i
$143$	−6.95987	+	12.0551i	−0.582014	+	1.00810i
$144$	2.56511	−	0.585009i	0.213759	−	0.0487508i
$145$	−0.286884	+	0.882938i	−0.0238244	+	0.0733240i
$146$	9.02479	+	4.01809i	0.746897	+	0.332540i
$147$	7.51356	+	4.26419i	0.619708	+	0.351704i
$148$	−2.83862	−	0.603367i	−0.233333	−	0.0495964i
$149$	4.03725	+	0.858145i	0.330745	+	0.0703020i	0.370291	−	0.928916i	$-0.379258\pi$
$149$	4.03725	+	0.858145i	0.330745	+	0.0703020i	−0.0395464	+	0.999218i	$0.512591\pi$
$150$	17.1890	+	9.75532i	1.40348	+	0.796519i
$151$	−16.2385	−	7.22985i	−1.32147	−	0.588357i	−0.379855	−	0.925046i	$-0.624026\pi$
$151$	−16.2385	−	7.22985i	−1.32147	−	0.588357i	−0.941616	+	0.336689i	$0.890693\pi$
$152$	3.17541	−	9.77291i	0.257560	−	0.792688i
$153$	5.52460	−	17.8995i	0.446637	−	1.44709i
$154$	−10.0097	+	4.45673i	−0.806605	+	0.359134i
$155$	−1.51246	−	2.61967i	−0.121484	−	0.210417i
$156$	18.6214	+	16.5191i	1.49091	+	1.32259i
$157$	0.210861	+	2.00621i	0.0168285	+	0.160113i	0.999709	−	0.0241329i	$-0.00768247\pi$
$157$	0.210861	+	2.00621i	0.0168285	+	0.160113i	−0.982880	+	0.184246i	$0.941016\pi$
$158$	−7.19568	+	3.20372i	−0.572458	+	0.254875i
$159$	6.73440	−	9.41473i	0.534072	−	0.746636i
$160$	0.974017	−	1.08175i	0.0770028	−	0.0855202i
$161$	−5.18765	−	3.76905i	−0.408844	−	0.297043i
$162$	−11.0128	−	17.8349i	−0.865246	−	1.40124i
$163$	−0.488377	+	1.50307i	−0.0382526	+	0.117729i	−0.968359	−	0.249560i	$-0.919714\pi$
$163$	−0.488377	+	1.50307i	−0.0382526	+	0.117729i	0.930107	+	0.367289i	$0.119714\pi$
$164$	6.62526	+	11.4753i	0.517346	+	0.896069i
$165$	−0.365435	+	1.78410i	−0.0284491	+	0.138892i
$166$	15.7062	−	27.2039i	1.21904	−	2.11143i
$167$	10.2522	+	11.3862i	0.793337	+	0.881090i	0.995154	−	0.0983335i	$-0.0313512\pi$
$167$	10.2522	+	11.3862i	0.793337	+	0.881090i	−0.201817	+	0.979423i	$0.564685\pi$
$168$	1.75333	+	7.95891i	0.135272	+	0.614043i
$169$	−0.482411	+	4.58984i	−0.0371085	+	0.353064i
$170$	1.42468	+	4.38471i	0.109268	+	0.336292i
$171$	−9.29255	+	0.137443i	−0.710619	+	0.0105105i
$172$	−9.84284	−	7.15124i	−0.750510	−	0.545277i
$173$	−0.900792	−	0.401058i	−0.0684859	−	0.0304919i	0.372208	−	0.928149i	$-0.378601\pi$
$173$	−0.900792	−	0.401058i	−0.0684859	−	0.0304919i	−0.440694	+	0.897658i	$0.645268\pi$
$174$	2.37059	−	11.5729i	0.179714	−	0.877339i
$175$	−3.47495	+	6.01879i	−0.262682	+	0.454978i
$176$	2.65720	+	1.18303i	0.200294	+	0.0891740i
$177$	−20.7828	+	2.33987i	−1.56213	+	0.175875i
$178$	−6.14509	+	1.30618i	−0.460594	+	0.0979023i
$179$	9.08186	−	6.59836i	0.678810	−	0.493185i	−0.194153	−	0.980971i	$-0.562196\pi$
$179$	9.08186	−	6.59836i	0.678810	−	0.493185i	0.872963	+	0.487787i	$0.162196\pi$
$180$	2.99438	+	1.28046i	0.223188	+	0.0954400i
$181$	5.53932	+	17.0483i	0.411735	+	1.26719i	0.915139	+	0.403138i	$0.132081\pi$
$181$	5.53932	+	17.0483i	0.411735	+	1.26719i	−0.503405	+	0.864051i	$0.667919\pi$
$182$	−9.27792	+	10.3042i	−0.687725	+	0.763796i
$183$	6.90070	−	4.05245i	0.510114	−	0.299566i
$184$	1.56739	+	14.9127i	0.115550	+	1.09938i
$185$	−0.179777	−	0.199663i	−0.0132175	−	0.0146795i
$186$	22.8541	+	30.9717i	1.67574	+	2.27096i
$187$	16.7544	−	12.1730i	1.22520	−	0.890181i
$188$	−25.5141			−1.86081
$189$	6.29990	−	3.82604i	0.458250	−	0.278304i
$190$	1.85044	−	1.34442i	0.134245	−	0.0975348i
$191$	−1.34716	+	12.8173i	−0.0974768	+	0.927430i	0.831058	+	0.556185i	$0.187736\pi$
$191$	−1.34716	+	12.8173i	−0.0974768	+	0.927430i	−0.928535	+	0.371245i	$0.878931\pi$
$192$	−12.5436	+	17.5360i	−0.905256	+	1.26555i
$193$	22.6451	+	4.81337i	1.63003	+	0.346474i	0.929978	−	0.367616i	$-0.119826\pi$
$193$	22.6451	+	4.81337i	1.63003	+	0.346474i	0.700054	+	0.714090i	$0.253159\pi$
$194$	−11.1860	+	4.98033i	−0.803108	+	0.357567i
$195$	0.495803	+	2.25061i	0.0355052	+	0.161169i
$196$	16.7065	−	3.55108i	1.19332	−	0.253649i
$197$	1.07766			0.0767801			0.0383900	−	0.999263i	$-0.487777\pi$
$197$	1.07766			0.0767801			0.0383900	+	0.999263i	$0.487777\pi$
$198$	2.08093	−	23.0797i	0.147885	−	1.64020i
$199$	16.4307			1.16474			0.582371	−	0.812923i	$-0.302125\pi$
$199$	16.4307			1.16474			0.582371	+	0.812923i	$0.302125\pi$
$200$	15.8969	−	3.37899i	1.12408	−	0.238931i
$201$	−12.7443	+	11.6468i	−0.898914	+	0.821503i
$202$	−20.2760	+	9.02744i	−1.42661	+	0.635168i
$203$	4.06320	+	0.863660i	0.285181	+	0.0606171i
$204$	−15.3130	−	33.7202i	−1.07212	−	2.36089i
$205$	−0.128230	+	1.22002i	−0.00895594	+	0.0852101i
$206$	−17.9671	+	13.0538i	−1.25182	+	0.909503i
$207$	12.3061	−	5.69858i	0.855334	−	0.396078i
$208$	3.68076			0.255215
$209$	−8.31225	−	6.03907i	−0.574970	−	0.417731i
$210$	−0.725557	+	1.66261i	−0.0500682	+	0.114731i
$211$	−10.0034	−	11.1099i	−0.688660	−	0.764834i	0.292868	−	0.956153i	$-0.405390\pi$
$211$	−10.0034	−	11.1099i	−0.688660	−	0.764834i	−0.981528	+	0.191319i	$0.938724\pi$
$212$	−2.39207	−	22.7590i	−0.164288	−	1.56310i
$213$	0.0375362	+	5.07595i	0.00257194	+	0.347798i
$214$	8.06101	−	8.95266i	0.551040	−	0.611991i
$215$	−0.348070	−	1.07125i	−0.0237382	−	0.0730585i
$216$	−16.5066	−	4.96130i	−1.12313	−	0.337574i
$217$	−10.9500	+	7.95563i	−0.743333	+	0.540063i
$218$	−32.9794	+	7.00999i	−2.23365	+	0.474776i
$219$	−4.36217	−	5.91158i	−0.294768	−	0.399468i
$220$	1.80022	+	3.11800i	0.121371	+	0.210216i
$221$	13.1036	−	22.6961i	0.881444	−	1.52671i
$222$	2.55747	+	2.26874i	0.171646	+	0.152268i
$223$	1.75974	+	0.783488i	0.117841	+	0.0524662i	0.464810	−	0.885410i	$-0.346123\pi$
$223$	1.75974	+	0.783488i	0.117841	+	0.0524662i	−0.346969	+	0.937877i	$0.612789\pi$
$224$	−5.26931	−	3.82838i	−0.352070	−	0.255794i
$225$	−7.53670	−	12.6192i	−0.502446	−	0.841279i
$226$	−5.34854	−	16.4611i	−0.355779	−	1.09498i
$227$	1.67361	−	15.9234i	0.111082	−	1.05687i	−0.786973	−	0.616988i	$-0.788353\pi$
$227$	1.67361	−	15.9234i	0.111082	−	1.05687i	0.898055	−	0.439884i	$-0.144980\pi$
$228$	−13.5627	+	12.3948i	−0.898215	+	0.820864i
$229$	−0.349905	−	0.388609i	−0.0231224	−	0.0256800i	0.731473	−	0.681871i	$-0.238833\pi$
$229$	−0.349905	−	0.388609i	−0.0231224	−	0.0256800i	−0.754595	+	0.656191i	$0.772167\pi$
$230$	−1.66883	+	2.89050i	−0.110040	+	0.190594i
$231$	8.11007	+	0.791729i	0.533603	+	0.0520919i
$232$	−4.85695	−	8.41248i	−0.318874	−	0.552306i
$233$	−3.16820	+	9.75073i	−0.207556	+	0.638792i	0.792043	+	0.610466i	$0.209018\pi$
$233$	−3.16820	+	9.75073i	−0.207556	+	0.638792i	−0.999599	+	0.0283260i	$0.990982\pi$
$234$	−9.47330	−	27.7524i	−0.619289	−	1.81423i
$235$	−1.91099	−	1.38842i	−0.124659	−	0.0905703i
$236$	−27.6666	+	30.7268i	−1.80094	+	2.00015i
$237$	5.83005	+	0.569208i	0.378703	+	0.0369740i
$238$	18.8454	−	8.39051i	1.22157	−	0.543876i
$239$	1.00776	+	9.58823i	0.0651868	+	0.620211i	0.977532	+	0.210788i	$0.0676031\pi$
$239$	1.00776	+	9.58823i	0.0651868	+	0.620211i	−0.912345	+	0.409423i	$0.865730\pi$
$240$	0.456869	−	0.152190i	0.0294908	−	0.00982383i
$241$	0.139366	+	0.241388i	0.00897733	+	0.0155492i	0.870479	−	0.492205i	$-0.163809\pi$
$241$	0.139366	+	0.241388i	0.00897733	+	0.0155492i	−0.861502	+	0.507754i	$0.830476\pi$
$242$	17.1421	−	19.0390i	1.10193	−	1.22387i
$243$	0.576234	+	15.5778i	0.0369654	+	0.999317i
$244$	4.88900	−	15.0468i	0.312986	−	0.963272i
$245$	1.44455	+	0.643155i	0.0922889	+	0.0410897i
$246$	−0.115430	−	15.6094i	−0.00735954	−	0.995218i
$247$	−12.7177	−	2.70323i	−0.809207	−	0.172002i
$248$	30.9592	+	6.58057i	1.96591	+	0.417867i
$249$	−20.1443	+	11.8298i	−1.27659	+	0.749682i
$250$	6.67728	+	2.97292i	0.422308	+	0.188024i
$251$	1.36753	−	4.20881i	0.0863175	−	0.265658i	−0.898576	−	0.438817i	$-0.855398\pi$
$251$	1.36753	−	4.20881i	0.0863175	−	0.265658i	0.984894	+	0.173159i	$0.0553975\pi$
$252$	4.29749	−	13.9237i	0.270717	−	0.877111i
$253$	14.6652	+	3.11703i	0.921993	+	0.195966i
$254$	15.3766	+	26.6330i	0.964813	+	1.67111i
$255$	0.688040	−	3.35892i	0.0430868	−	0.210344i
$256$	2.21987	+	21.1206i	0.138742	+	1.32004i
$257$	3.33857	−	1.48643i	0.208254	−	0.0927209i	−0.299959	−	0.953952i	$-0.596973\pi$
$257$	3.33857	−	1.48643i	0.208254	−	0.0927209i	0.508213	+	0.861231i	$0.330306\pi$
$258$	5.92630	+	13.0501i	0.368955	+	0.812464i
$259$	−0.804405	+	0.893382i	−0.0499833	+	0.0555121i
$260$	3.68598	+	2.67802i	0.228595	+	0.166084i
$261$	−5.78134	+	6.61500i	−0.357856	+	0.409458i
$262$	−5.25413	+	16.1705i	−0.324601	+	0.999019i
$263$	7.22621	+	12.5162i	0.445587	+	0.771780i	0.998093	−	0.0617294i	$-0.0196616\pi$
$263$	7.22621	+	12.5162i	0.445587	+	0.771780i	−0.552506	+	0.833509i	$0.686328\pi$
$264$	−11.3142	−	15.3326i	−0.696341	−	0.943657i
$265$	1.05933	−	1.83481i	0.0650741	−	0.112712i
$266$	−6.84808	−	7.60557i	−0.419883	−	0.466327i
$267$	4.45401	+	1.41087i	0.272581	+	0.0863438i
$268$	−3.56776	+	33.9450i	−0.217936	+	2.07352i
$269$	0.283600	+	0.872830i	0.0172914	+	0.0532174i	0.959330	−	0.282287i	$-0.0910931\pi$
$269$	0.283600	+	0.872830i	0.0172914	+	0.0532174i	−0.942039	+	0.335505i	$0.891093\pi$
$270$	−2.32335	−	3.05303i	−0.141395	−	0.185801i
$271$	2.13921	+	1.55422i	0.129948	+	0.0944124i	0.650860	−	0.759197i	$-0.274408\pi$
$271$	2.13921	+	1.55422i	0.129948	+	0.0944124i	−0.520913	+	0.853610i	$0.674408\pi$
$272$	−5.00269	−	2.22734i	−0.303332	−	0.135052i
$273$	9.78318	−	3.25892i	0.592105	−	0.197239i
$274$	−11.4206	+	19.7811i	−0.689947	+	1.19502i
$275$	1.69840	−	16.1608i	0.102417	−	0.974533i
$276$	10.7236	−	24.5730i	0.645484	−	1.47912i
$277$	−28.2729	+	6.00958i	−1.69875	+	0.361081i	−0.952490	−	0.304571i	$-0.901487\pi$
$277$	−28.2729	+	6.00958i	−1.69875	+	0.361081i	−0.746262	+	0.665652i	$0.768153\pi$
$278$	17.8564	−	12.9734i	1.07095	−	0.778094i
$279$	−3.41285	−	28.4211i	−0.204322	−	1.70153i
$280$	0.460948	+	1.41865i	0.0275469	+	0.0847807i
$281$	5.84992	−	6.49700i	0.348977	−	0.387578i	−0.542944	−	0.839769i	$-0.682691\pi$
$281$	5.84992	−	6.49700i	0.348977	−	0.387578i	0.891921	+	0.452190i	$0.149357\pi$
$282$	26.1405	+	14.8356i	1.55664	+	0.883446i
$283$	2.42686	+	23.0901i	0.144262	+	1.37256i	0.791917	+	0.610629i	$0.209083\pi$
$283$	2.42686	+	23.0901i	0.144262	+	1.37256i	−0.647655	+	0.761934i	$0.724250\pi$
$284$	6.71498	+	7.45775i	0.398461	+	0.442536i
$285$	−1.69034	+	0.190309i	−0.100127	+	0.0112730i
$286$	10.0179	−	30.8331i	0.592372	−	1.82320i
$287$	5.48901			0.324006
$288$	12.4998	−	5.78827i	0.736558	−	0.341077i
$289$	−17.7905	+	12.9255i	−1.04650	+	0.760326i
$290$	0.226010	−	2.15034i	0.0132718	−	0.126273i
$291$	9.06307	+	0.884858i	0.531286	+	0.0518713i
$292$	−14.2071	−	3.01982i	−0.831410	−	0.176722i
$293$	−19.1620	+	8.53146i	−1.11945	+	0.498413i	−0.881178	−	0.472784i	$-0.843249\pi$
$293$	−19.1620	+	8.53146i	−1.11945	+	0.498413i	−0.238276	+	0.971197i	$0.576582\pi$
$294$	−19.1815	−	6.07601i	−1.11869	−	0.354360i
$295$	−3.74429	+	0.795874i	−0.218001	+	0.0463376i
$296$	2.81121			0.163398
$297$	−9.81779	+	14.1637i	−0.569686	+	0.821862i
$298$	−9.61284			−0.556857
$299$	18.5581	−	3.94465i	1.07324	−	0.228125i
$300$	−27.7022	−	8.77506i	−1.59939	−	0.506628i
$301$	−4.60420	+	2.04992i	−0.265382	+	0.118156i
$302$	40.4940	+	8.60726i	2.33017	+	0.495292i
$303$	16.4279	+	1.60391i	0.943758	+	0.0921423i
$304$	−0.283982	+	2.70191i	−0.0162875	+	0.154965i
$305$	1.18499	−	0.860949i	0.0678526	−	0.0492978i
$306$	−3.91822	+	43.4521i	−0.223990	+	2.48399i
$307$	23.1324			1.32024			0.660118	−	0.751162i	$-0.270506\pi$
$307$	23.1324			1.32024			0.660118	+	0.751162i	$0.270506\pi$
$308$	13.0330	−	9.46921i	0.742622	−	0.539558i
$309$	16.4125	−	1.84783i	0.933675	−	0.105119i
$310$	4.71407	+	5.23550i	0.267741	+	0.297357i
$311$	−2.13393	−	20.3030i	−0.121004	−	1.15128i	−0.871498	−	0.490399i	$-0.836851\pi$
$311$	−2.13393	−	20.3030i	−0.121004	−	1.15128i	0.750494	−	0.660877i	$-0.229816\pi$
$312$	−20.9715	−	11.9020i	−1.18728	−	0.673817i
$313$	−22.7768	+	25.2962i	−1.28742	+	1.42982i	−0.440816	+	0.897597i	$0.645311\pi$
$313$	−22.7768	+	25.2962i	−1.28742	+	1.42982i	−0.846602	+	0.532226i	$0.821356\pi$
$314$	−1.45182	−	4.46825i	−0.0819311	−	0.252158i
$315$	1.07958	−	0.809018i	0.0608272	−	0.0455830i
$316$	9.36904	−	6.80701i	0.527050	−	0.382924i
$317$	26.8212	−	5.70102i	1.50643	−	0.320201i	0.620568	−	0.784152i	$-0.286902\pi$
$317$	26.8212	−	5.70102i	1.50643	−	0.320201i	0.885861	+	0.463951i	$0.153569\pi$
$318$	−10.7828	+	24.7087i	−0.604670	+	1.38560i
$319$	−9.50029	+	2.01945i	−0.531914	+	0.113068i
$320$	−1.97312	+	3.41755i	−0.110301	+	0.191047i
$321$	−8.50001	+	2.83148i	−0.474424	+	0.158038i
$322$	13.6431	+	6.07430i	0.760301	+	0.338508i
$323$	15.6494	+	11.3699i	0.870754	+	0.632640i
$324$	21.2898	+	22.2825i	1.18276	+	1.23792i
$325$	−6.35443	−	19.5569i	−0.352480	−	1.08482i
$326$	0.384748	−	3.66064i	0.0213092	−	0.202744i
$327$	23.9037	+	7.57184i	1.32188	+	0.418724i
$328$	−8.58884	−	9.53887i	−0.474239	−	0.526696i
$329$	−5.28459	+	9.15318i	−0.291349	+	0.504631i
$330$	−0.0314080	−	4.24132i	−0.00172896	−	0.233477i
$331$	8.98622	+	15.5646i	0.493927	+	0.855507i	0.999976	−	0.00699827i	$-0.00222764\pi$
$331$	8.98622	+	15.5646i	0.493927	+	0.855507i	−0.506048	+	0.862505i	$0.668894\pi$
$332$	−14.2718	+	43.9241i	−0.783266	+	2.41065i
$333$	−0.821345	−	2.40616i	−0.0450094	−	0.131857i
$334$	−28.8690	−	20.9746i	−1.57964	−	1.14768i
$335$	−2.11443	+	2.34831i	−0.115524	+	0.128302i
$336$	−0.890919	−	1.96186i	−0.0486036	−	0.107028i
$337$	10.0236	−	4.46277i	0.546018	−	0.243103i	−0.115141	−	0.993349i	$-0.536732\pi$
$337$	10.0236	−	4.46277i	0.546018	−	0.243103i	0.661158	+	0.750246i	$0.270065\pi$
$338$	−1.12354	−	10.6897i	−0.0611123	−	0.581445i
$339$	−2.58305	+	12.6101i	−0.140292	+	0.684886i
$340$	−3.38922	−	5.87031i	−0.183806	−	0.318362i
$341$	15.8229	−	27.4068i	0.856860	−	1.48416i
$342$	21.1029	−	4.81281i	1.14111	−	0.260247i
$343$	5.25475	−	16.1724i	0.283730	−	0.873230i
$344$	10.7667	+	4.79366i	0.580503	+	0.258457i
$345$	2.14040	−	1.25695i	0.115235	−	0.0676721i
$346$	2.24630	+	0.477467i	0.120762	+	0.0256688i
$347$	−21.6159	−	4.59460i	−1.16040	−	0.246651i	−0.412815	−	0.910815i	$-0.635454\pi$
$347$	−21.6159	−	4.59460i	−1.16040	−	0.246651i	−0.747587	+	0.664164i	$0.768788\pi$
$348$	0.128435	+	17.3681i	0.00688485	+	0.931026i
$349$	−16.8126	−	7.48547i	−0.899960	−	0.400688i	−0.0960068	−	0.995381i	$-0.530607\pi$
$349$	−16.8126	−	7.48547i	−0.899960	−	0.400688i	−0.803953	+	0.594693i	$0.797274\pi$
$350$	5.00185	−	15.3941i	0.267360	−	0.822850i
$351$	−4.05992	+	21.4272i	−0.216703	+	1.14370i
$352$	14.8960	+	3.16609i	0.793961	+	0.168753i
$353$	−16.5354	−	28.6401i	−0.880089	−	1.52436i	−0.851241	−	0.524776i	$-0.824149\pi$
$353$	−16.5354	−	28.6401i	−0.880089	−	1.52436i	−0.0288486	−	0.999584i	$-0.509184\pi$
$354$	46.2125	−	15.3941i	2.45616	−	0.818185i
$355$	0.0971158	+	0.923995i	0.00515437	+	0.0490405i
$356$	8.43820	−	3.75693i	0.447224	−	0.199117i
$357$	−15.2688	−	1.49075i	−0.808112	−	0.0788987i
$358$	−17.4944	+	19.4295i	−0.924606	+	1.02688i
$359$	−2.42595	−	1.76256i	−0.128037	−	0.0930242i	0.521924	−	0.852992i	$-0.325215\pi$
$359$	−2.42595	−	1.76256i	−0.128037	−	0.0930242i	−0.649960	+	0.759968i	$0.725215\pi$
$360$	−3.09517	−	0.610200i	−0.163130	−	0.0321604i
$361$	−2.90578	+	8.94306i	−0.152936	+	0.470687i
$362$	−20.8744	−	36.1555i	−1.09713	−	1.90029i
$363$	−18.0759	+	6.02177i	−0.948739	+	0.316061i
$364$	10.1931	−	17.6549i	0.534262	−	0.925370i
$365$	−0.899776	−	0.999302i	−0.0470964	−	0.0523059i
$366$	−13.7582	+	12.5734i	−0.719154	+	0.657224i
$367$	−0.173774	+	1.65335i	−0.00907095	+	0.0863043i	−0.998121	−	0.0612779i	$-0.980482\pi$
$367$	−0.173774	+	1.65335i	−0.00907095	+	0.0863043i	0.989050	+	0.147582i	$0.0471491\pi$
$368$	−1.22508	−	3.77040i	−0.0638616	−	0.196546i
$369$	−5.65510	+	10.1383i	−0.294393	+	0.527778i
$370$	0.506234	+	0.367800i	0.0263178	+	0.0191210i
$371$	−8.66027	−	3.85580i	−0.449619	−	0.200183i
$372$	−42.3349	−	37.5554i	−2.19496	−	1.94716i
$373$	10.7543	−	18.6271i	0.556839	−	0.964473i	−0.440919	−	0.897547i	$-0.645348\pi$
$373$	10.7543	−	18.6271i	0.556839	−	0.964473i	0.997758	−	0.0669259i	$-0.0213191\pi$
$374$	−32.2738	+	35.8444i	−1.66884	+	1.85347i
$375$	−3.22749	−	4.37388i	−0.166667	−	0.225866i
$376$	24.1755	−	5.13866i	1.24676	−	0.265006i
$377$	−9.94346	+	7.22435i	−0.512114	+	0.372073i
$378$	−12.4992	+	11.7667i	−0.642888	+	0.605214i
$379$	3.83779	+	11.8115i	0.197134	+	0.606715i	0.999945	+	0.0104822i	$0.00333665\pi$
$379$	3.83779	+	11.8115i	0.197134	+	0.606715i	−0.802811	+	0.596233i	$0.796663\pi$
$380$	−2.25022	+	2.49912i	−0.115434	+	0.128202i
$381$	−0.169123	−	22.8701i	−0.00866441	−	1.17167i
$382$	−3.13753	−	29.8516i	−0.160530	−	1.52734i
$383$	0.535088	+	0.594276i	0.0273417	+	0.0303661i	0.756661	−	0.653808i	$-0.226830\pi$
$383$	0.535088	+	0.594276i	0.0273417	+	0.0303661i	−0.729319	+	0.684174i	$0.760163\pi$
$384$	13.7224	−	31.4447i	0.700266	−	1.60465i
$385$	1.49145		1.54122e-5i	0.0760116		7.85476e-7i
$386$	−53.9188			−2.74439
$387$	0.957279	−	10.6160i	0.0486612	−	0.539641i
$388$	14.5646	−	10.5818i	0.739404	−	0.537209i
$389$	0.181533	−	1.72717i	0.00920409	−	0.0875711i	−0.988956	−	0.148213i	$-0.952648\pi$
$389$	0.181533	−	1.72717i	0.00920409	−	0.0875711i	0.998160	+	0.0606416i	$0.0193147\pi$
$390$	−2.21930	−	4.88704i	−0.112378	−	0.247465i
$391$	−27.6101	−	5.86872i	−1.39631	−	0.296794i
$392$	−15.1148	+	6.72954i	−0.763413	+	0.339893i
$393$	9.33403	−	8.53022i	0.470840	−	0.430293i
$394$	−2.45502	+	0.521832i	−0.123682	+	0.0262895i
$395$	1.07216			0.0539461
$396$	4.06245	+	33.8278i	0.204146	+	1.69991i
$397$	−24.7599			−1.24267			−0.621333	−	0.783547i	$-0.713409\pi$
$397$	−24.7599			−1.24267			−0.621333	+	0.783547i	$0.713409\pi$
$398$	−37.4309	+	7.95619i	−1.87624	+	0.398808i
$399$	1.63745	+	7.43290i	0.0819751	+	0.372110i
$400$	−3.92534	+	1.74767i	−0.196267	+	0.0873836i
$401$	−21.3748	−	4.54336i	−1.06741	−	0.226884i	−0.359468	−	0.933158i	$-0.617042\pi$
$401$	−21.3748	−	4.54336i	−1.06741	−	0.226884i	−0.707939	+	0.706273i	$0.750375\pi$
$402$	23.3932	−	32.7038i	1.16675	−	1.63112i
$403$	4.18606	−	39.8277i	0.208523	−	1.98396i
$404$	26.4000	−	19.1807i	1.31345	−	0.954278i
$405$	0.382028	+	2.82749i	0.0189831	+	0.140499i
$406$	−9.67462			−0.480143
$407$	0.868564	−	2.67326i	0.0430531	−	0.132509i
$408$	21.3010	+	28.8670i	1.05456	+	1.42913i
$409$	5.37631	+	5.97100i	0.265842	+	0.295247i	0.861256	−	0.508172i	$-0.169679\pi$
$409$	5.37631	+	5.97100i	0.265842	+	0.295247i	−0.595414	+	0.803419i	$0.703012\pi$
$410$	−0.298647	−	2.84144i	−0.0147491	−	0.140329i
$411$	14.6478	−	8.60195i	0.722522	−	0.424303i
$412$	21.8487	−	24.2655i	1.07641	−	1.19547i
$413$	5.29283	+	16.2897i	0.260443	+	0.801562i
$414$	−25.2752	+	18.9409i	−1.24221	+	0.930895i
$415$	−3.45919	+	2.51325i	−0.169805	+	0.123371i
$416$	18.8502	−	4.00673i	0.924207	−	0.196446i
$417$	−16.3114	+	1.83645i	−0.798773	+	0.0899312i
$418$	21.8605	+	9.73264i	1.06923	+	0.476039i
$419$	2.79840	−	4.84698i	0.136711	−	0.236790i	−0.789539	−	0.613701i	$-0.789680\pi$
$419$	2.79840	−	4.84698i	0.136711	−	0.236790i	0.926250	+	0.376910i	$0.123014\pi$
$420$	0.535215	−	2.61285i	0.0261158	−	0.127494i
$421$	34.5817	+	15.3968i	1.68541	+	0.750392i	0.999747	+	0.0224717i	$0.00715355\pi$
$421$	34.5817	+	15.3968i	1.68541	+	0.750392i	0.685661	+	0.727921i	$0.259513\pi$
$422$	28.1684	+	20.4656i	1.37122	+	0.996248i
$423$	−11.4616	−	19.1909i	−0.557280	−	0.933091i
$424$	6.85035	+	21.0832i	0.332682	+	1.02389i
$425$	−3.19789	+	30.4259i	−0.155121	+	1.47587i
$426$	−2.54342	−	11.5454i	−0.123229	−	0.559376i
$427$	−4.38541	−	4.87049i	−0.212225	−	0.235699i
$428$	−8.85614	+	15.3393i	−0.428078	+	0.741452i
$429$	−17.7974	+	16.2651i	−0.859265	+	0.785285i
$430$	1.31167	+	2.27187i	0.0632542	+	0.109560i
$431$	−9.20389	+	28.3267i	−0.443336	+	1.36445i	0.440963	+	0.897525i	$0.354637\pi$
$431$	−9.20389	+	28.3267i	−0.443336	+	1.36445i	−0.884299	+	0.466922i	$0.845363\pi$
$432$	4.54147	+	0.375685i	0.218501	+	0.0180752i
$433$	0.225935	+	0.164152i	0.0108578	+	0.00788862i	0.593201	−	0.805054i	$-0.297864\pi$
$433$	0.225935	+	0.164152i	0.0108578	+	0.00788862i	−0.582343	+	0.812943i	$0.697864\pi$
$434$	21.0929	−	23.4260i	1.01249	−	1.12449i
$435$	−0.935509	+	1.30785i	−0.0448542	+	0.0627065i
$436$	45.2860	−	20.1626i	2.16881	−	0.965615i
$437$	1.46380	+	13.9271i	0.0700231	+	0.666225i
$438$	12.8000	+	11.3549i	0.611609	+	0.542560i
$439$	−7.49827	−	12.9874i	−0.357873	−	0.619854i	0.629732	−	0.776812i	$-0.283165\pi$
$439$	−7.49827	−	12.9874i	−0.357873	−	0.619854i	−0.987605	+	0.156958i	$0.949831\pi$
$440$	−2.33375	−	2.59184i	−0.111257	−	0.123561i
$441$	10.1760	+	10.9709i	0.484571	+	0.522422i
$442$	−18.8614	+	58.0493i	−0.897143	+	2.76112i
$443$	13.2462	+	5.89760i	0.629348	+	0.280204i	0.696520	−	0.717538i	$-0.254731\pi$
$443$	13.2462	+	5.89760i	0.629348	+	0.280204i	−0.0671719	+	0.997741i	$0.521398\pi$
$444$	−4.37152	−	2.48098i	−0.207463	−	0.117742i
$445$	0.836459	+	0.177795i	0.0396520	+	0.00842829i
$446$	−4.38827	−	0.932755i	−0.207791	−	0.0441672i
$447$	6.21744	+	3.52860i	0.294075	+	0.166897i
$448$	16.1308	+	7.18188i	0.762107	+	0.339312i
$449$	−6.55787	+	20.1830i	−0.309485	+	0.952497i	0.668481	+	0.743730i	$0.266945\pi$
$449$	−6.55787	+	20.1830i	−0.309485	+	0.952497i	−0.977965	+	0.208767i	$0.933055\pi$
$450$	23.2800	+	25.0984i	1.09743	+	1.18315i
$451$	−11.7244	+	5.22020i	−0.552082	+	0.245809i
$452$	12.7238	+	22.0383i	0.598479	+	1.03660i
$453$	−23.0314	−	20.4312i	−1.08211	−	0.959942i
$454$	3.89785	+	37.0856i	0.182935	+	1.74051i
$455$	1.72420	−	0.767661i	0.0808315	−	0.0359885i
$456$	10.3548	−	14.4761i	0.484908	−	0.677905i
$457$	−2.14758	+	2.38512i	−0.100459	+	0.111571i	−0.791278	−	0.611457i	$-0.790584\pi$
$457$	−2.14758	+	2.38512i	−0.100459	+	0.111571i	0.690818	+	0.723028i	$0.257250\pi$
$458$	0.985297	+	0.715860i	0.0460399	+	0.0334499i
$459$	18.4843	−	26.6659i	0.862771	−	1.24466i
$460$	1.51642	−	4.66707i	0.0707037	−	0.217603i
$461$	−13.1628	−	22.7986i	−0.613052	−	1.06184i	−0.990723	−	0.135897i	$-0.956608\pi$
$461$	−13.1628	−	22.7986i	−0.613052	−	1.06184i	0.377671	−	0.925940i	$-0.376725\pi$
$462$	−18.8590	+	2.12347i	−0.877399	+	0.0987926i
$463$	−1.81412	+	3.14215i	−0.0843093	+	0.146028i	−0.905097	−	0.425206i	$-0.860202\pi$
$463$	−1.81412	+	3.14215i	−0.0843093	+	0.146028i	0.820787	+	0.571234i	$0.193535\pi$
$464$	1.71847	+	1.90856i	0.0797782	+	0.0886027i
$465$	−1.12718	−	5.11664i	−0.0522719	−	0.237279i
$466$	2.49595	−	23.7473i	0.115622	−	1.10007i
$467$	−5.71532	−	17.5899i	−0.264473	−	0.813965i	−0.991814	−	0.127689i	$-0.959244\pi$
$467$	−5.71532	−	17.5899i	−0.264473	−	0.813965i	0.727341	−	0.686276i	$-0.240756\pi$
$468$	22.1074	+	37.0159i	1.02192	+	1.71106i
$469$	11.4388	+	8.31077i	0.528194	+	0.383756i
$470$	5.02575	+	2.23761i	0.231821	+	0.103213i
$471$	−0.701150	+	3.42292i	−0.0323073	+	0.157720i
$472$	20.0265	−	34.6869i	0.921795	−	1.59660i
$473$	7.88496	−	8.75732i	0.362551	−	0.402662i
$474$	−13.5571	+	1.52635i	−0.622699	+	0.0701076i
$475$	14.8463	−	3.15567i	0.681193	−	0.144792i
$476$	−24.5374	+	17.8275i	−1.12467	+	0.817120i
$477$	16.0440	−	12.0232i	0.734606	−	0.550503i
$478$	−6.93867	−	21.3550i	−0.317367	−	0.976756i
$479$	−0.105052	+	0.116672i	−0.00479996	+	0.00533090i	−0.745540	−	0.666461i	$-0.767808\pi$
$479$	−0.105052	+	0.116672i	−0.00479996	+	0.00533090i	0.740740	+	0.671792i	$0.234475\pi$
$480$	2.17409	−	1.27674i	0.0992330	−	0.0582748i
$481$	−0.371804	−	3.53748i	−0.0169528	−	0.161295i
$482$	−0.434376	−	0.482424i	−0.0197853	−	0.0219738i
$483$	−6.59445	−	8.93676i	−0.300058	−	0.406637i
$484$	−18.8327	+	32.6208i	−0.856032	+	1.48276i
$485$	1.66671			0.0756816
$486$	−8.85591	−	35.2089i	−0.401712	−	1.59711i
$487$	−14.5028	+	10.5369i	−0.657187	+	0.477474i	−0.865712	−	0.500543i	$-0.833134\pi$
$487$	−14.5028	+	10.5369i	−0.657187	+	0.477474i	0.208525	+	0.978017i	$0.433134\pi$
$488$	−1.60200	+	15.2420i	−0.0725192	+	0.689974i
$489$	−1.59256	+	2.22641i	−0.0720182	+	0.100682i
$490$	−3.60227	−	0.765687i	−0.162734	−	0.0345902i
$491$	−6.07322	+	2.70397i	−0.274081	+	0.122029i	−0.539175	−	0.842194i	$-0.681264\pi$
$491$	−6.07322	+	2.70397i	−0.274081	+	0.122029i	0.265094	+	0.964223i	$0.414597\pi$
$492$	4.93756	+	22.4131i	0.222603	+	1.01046i
$493$	17.8863	−	3.80184i	0.805557	−	0.171226i
$494$	30.2813			1.36242
$495$	−1.53655	+	2.75475i	−0.0690630	+	0.123817i
$496$	−8.36804			−0.375736
$497$	4.06631	−	0.864320i	0.182399	−	0.0387701i
$498$	40.1626	−	36.7039i	1.79973	−	1.64474i
$499$	31.0124	−	13.8076i	1.38831	−	0.618114i	0.429733	−	0.902956i	$-0.358608\pi$
$499$	31.0124	−	13.8076i	1.38831	−	0.618114i	0.958575	+	0.284842i	$0.0919411\pi$
$500$	−10.5116	−	2.23431i	−0.470094	−	0.0999216i
$501$	10.9729	+	24.1630i	0.490233	+	1.07953i
$502$	−1.07735	+	10.2503i	−0.0480846	+	0.457494i
$503$	−2.53812	+	1.84405i	−0.113169	+	0.0822222i	−0.642930	−	0.765925i	$-0.722282\pi$
$503$	−2.53812	+	1.84405i	−0.113169	+	0.0822222i	0.529761	+	0.848147i	$0.322282\pi$
$504$	−1.26772	+	14.0587i	−0.0564689	+	0.626226i
$505$	3.02112			0.134438
$506$	−34.9183		0.000360833i	−1.55231		1.60410e-5i
$507$	−3.19721	+	7.32638i	−0.141993	+	0.325376i
$508$	−30.2550	−	33.6015i	−1.34235	−	1.49083i
$509$	−2.38361	−	22.6786i	−0.105652	−	1.00521i	−0.910999	−	0.412407i	$-0.864688\pi$
$509$	−2.38361	−	22.6786i	−0.105652	−	1.00521i	0.805348	−	0.592803i	$-0.201979\pi$
$510$	0.0590495	+	7.98515i	0.00261475	+	0.353588i
$511$	−4.02601	+	4.47134i	−0.178100	+	0.197800i
$512$	−3.04225	−	9.36310i	−0.134450	−	0.413794i
$513$	−15.4157	−	4.63341i	−0.680618	−	0.204570i
$514$	−6.88586	+	5.00287i	−0.303722	+	0.220667i
$515$	2.95693	−	0.628514i	0.130298	−	0.0276956i
$516$	−12.5120	−	16.9562i	−0.550812	−	0.746457i
$517$	2.58287	−	24.5768i	0.113595	−	1.08089i
$518$	1.39992	−	2.42474i	0.0615090	−	0.106537i
$519$	−1.27761	−	1.13337i	−0.0560809	−	0.0497495i
$520$	−4.03196	−	1.79514i	−0.176813	−	0.0787222i
$521$	−4.26200	−	3.09653i	−0.186722	−	0.135661i	0.490497	−	0.871443i	$-0.336815\pi$
$521$	−4.26200	−	3.09653i	−0.186722	−	0.135661i	−0.677219	+	0.735781i	$0.736815\pi$
$522$	9.96735	−	17.8692i	0.436259	−	0.782112i
$523$	3.67595	+	11.3134i	0.160738	+	0.494701i	0.998697	−	0.0510325i	$-0.0162512\pi$
$523$	3.67595	+	11.3134i	0.160738	+	0.494701i	−0.837959	+	0.545733i	$0.816251\pi$
$524$	2.61305	−	24.8616i	0.114152	−	1.08608i
$525$	−8.88586	+	8.12065i	−0.387811	+	0.354414i
$526$	−22.5227	−	25.0140i	−0.982038	−	1.09066i
$527$	−29.7904	+	51.5985i	−1.29769	+	2.24767i
$528$	3.76877	+	3.34322i	0.164015	+	0.145495i
$529$	1.28255	+	2.22144i	0.0557629	+	0.0965843i
$530$	−1.52480	+	4.69285i	−0.0662331	+	0.203845i
$531$	−35.5402	−	7.00662i	−1.54231	−	0.304061i
$532$	12.1734	+	8.84448i	0.527783	+	0.383457i
$533$	−10.8673	+	12.0693i	−0.470714	+	0.522781i
$534$	−10.8299	−	1.05736i	−0.468656	−	0.0457565i
$535$	−1.49805	+	0.666974i	−0.0647663	+	0.0288358i
$536$	−3.45610	−	32.8826i	−0.149281	−	1.42031i
$537$	18.4471	−	6.14500i	0.796050	−	0.265176i
$538$	−1.06872	−	1.85108i	−0.0460757	−	0.0798055i
$539$	1.72938	+	16.4523i	0.0744895	+	0.708650i
$540$	4.27456	+	3.68046i	0.183948	+	0.158382i
$541$	12.5401	−	38.5945i	0.539142	−	1.65931i	−0.195383	−	0.980727i	$-0.562595\pi$
$541$	12.5401	−	38.5945i	0.539142	−	1.65931i	0.734525	−	0.678581i	$-0.237405\pi$
$542$	−5.62594	−	2.50483i	−0.241655	−	0.107592i
$543$	0.229591	+	31.0472i	0.00985271	+	1.33236i
$544$	−28.0447	−	5.96109i	−1.20241	−	0.255580i
$545$	4.48910	+	0.954188i	0.192292	+	0.0408729i
$546$	−20.7091	+	12.1615i	−0.886267	+	0.520462i
$547$	21.4997	+	9.57226i	0.919259	+	0.409280i	0.811136	−	0.584857i	$-0.198849\pi$
$547$	21.4997	+	9.57226i	0.919259	+	0.409280i	0.108123	+	0.994138i	$0.465516\pi$
$548$	10.3776	−	31.9391i	0.443311	−	1.36437i
$549$	13.5140	−	3.08205i	0.576762	−	0.131539i
$550$	3.95635	+	37.6384i	0.168699	+	1.60491i
$551$	−4.53595	−	7.85650i	−0.193238	−	0.334698i
$552$	−5.21185	+	25.4436i	−0.221831	+	1.08295i
$553$	−0.501457	−	4.77104i	−0.0213241	−	0.202885i
$554$	61.4986	−	27.3810i	2.61283	−	1.16331i
$555$	−0.192415	−	0.423711i	−0.00816757	−	0.0179855i
$556$	−21.7141	+	24.1160i	−0.920884	+	1.02275i
$557$	5.08590	+	3.69513i	0.215497	+	0.156568i	0.690297	−	0.723526i	$-0.257480\pi$
$557$	5.08590	+	3.69513i	0.215497	+	0.156568i	−0.474800	+	0.880093i	$0.657480\pi$
$558$	21.5371	+	63.0938i	0.911738	+	2.67097i
$559$	4.60811	−	14.1823i	0.194902	−	0.599847i
$560$	−0.197187	−	0.341538i	−0.00833268	−	0.0144326i
$561$	34.0317	−	11.3368i	1.43682	−	0.478642i
$562$	−10.1807	+	17.6335i	−0.429448	+	0.743826i
$563$	−11.3527	−	12.6085i	−0.478461	−	0.531385i	0.454795	−	0.890596i	$-0.349712\pi$
$563$	−11.3527	−	12.6085i	−0.478461	−	0.531385i	−0.933256	+	0.359211i	$0.883046\pi$
$564$	−42.1286	−	13.3448i	−1.77394	−	0.561918i
$565$	−0.246266	+	2.34306i	−0.0103605	+	0.0985734i
$566$	−16.7095	−	51.4265i	−0.702352	−	2.16162i
$567$	12.4035	−	3.02244i	0.520898	−	0.126931i
$568$	−7.86471	−	5.71404i	−0.329996	−	0.239756i
$569$	20.3268	+	9.05009i	0.852146	+	0.379400i	0.785863	−	0.618401i	$-0.212219\pi$
$569$	20.3268	+	9.05009i	0.852146	+	0.379400i	0.0662831	+	0.997801i	$0.478886\pi$
$570$	3.75862	−	1.25205i	0.157431	−	0.0524427i
$571$	−17.6576	+	30.5838i	−0.738947	+	1.27989i	0.214023	+	0.976829i	$0.431343\pi$
$571$	−17.6576	+	30.5838i	−0.738947	+	1.27989i	−0.952970	+	0.303065i	$0.901990\pi$
$572$	−4.98192	+	47.4045i	−0.208304	+	1.98208i
$573$	−8.92836	+	20.4593i	−0.372988	+	0.854698i
$574$	−12.5046	+	2.65793i	−0.521930	+	0.110940i
$575$	−17.9182	+	13.0184i	−0.747243	+	0.542904i
$576$	−29.8839	+	22.3946i	−1.24516	+	0.933107i
$577$	−11.8156	−	36.3646i	−0.491889	−	1.51388i	−0.821749	−	0.569850i	$-0.807001\pi$
$577$	−11.8156	−	36.3646i	−0.491889	−	1.51388i	0.329859	−	0.944030i	$-0.392999\pi$
$578$	34.2697	−	38.0604i	1.42543	−	1.58310i
$579$	34.8738	+	19.7920i	1.44931	+	0.822529i
$580$	0.332295	+	3.16158i	0.0137978	+	0.131277i
$581$	12.8017	+	14.2178i	0.531105	+	0.589852i
$582$	−21.0751	+	2.37278i	−0.873592	+	0.0983547i
$583$	22.1651		0.000229047i	0.917986		9.48614e-6i
$584$	14.0700			0.582219
$585$	−0.358485	+	3.97550i	−0.0148215	+	0.164367i
$586$	39.5219	−	28.7143i	1.63263	−	1.18618i
$587$	1.29507	−	12.3218i	0.0534533	−	0.508574i	−0.934737	−	0.355341i	$-0.884365\pi$
$587$	1.29507	−	12.3218i	0.0534533	−	0.508574i	0.988190	−	0.153233i	$-0.0489685\pi$
$588$	29.4430	+	2.87462i	1.21421	+	0.118547i
$589$	28.9131	+	6.14566i	1.19134	+	0.253228i
$590$	8.14452	−	3.62617i	0.335305	−	0.149287i
$591$	1.77942	+	0.563656i	0.0731956	+	0.0231857i
$592$	−0.727003	+	0.154529i	−0.0298797	+	0.00635112i
$593$	4.18039			0.171668			0.0858340	−	0.996309i	$-0.472645\pi$
$593$	4.18039			0.171668			0.0858340	+	0.996309i	$0.472645\pi$
$594$	15.5075	−	37.0205i	0.636282	−	1.51897i
$595$	−2.80796			−0.115115
$596$	13.8246	−	2.93850i	0.566276	−	0.120366i
$597$	27.1302	+	8.59388i	1.11037	+	0.351724i
$598$	−40.3672	+	17.9727i	−1.65074	+	0.734957i
$599$	43.1155	+	9.16449i	1.76165	+	0.374451i	0.971236	−	0.238119i	$-0.0765307\pi$
$599$	43.1155	+	9.16449i	1.76165	+	0.374451i	0.790417	+	0.612570i	$0.209864\pi$
$600$	28.0161	+	2.73531i	1.14375	+	0.111669i
$601$	0.183062	−	1.74172i	0.00746727	−	0.0710463i	−0.990154	−	0.139985i	$-0.955295\pi$
$601$	0.183062	−	1.74172i	0.00746727	−	0.0710463i	0.997621	+	0.0689386i	$0.0219613\pi$
$602$	9.49624	−	6.89943i	0.387038	−	0.281200i
$603$	−27.1350	+	12.5654i	−1.10502	+	0.511701i
$604$	−60.8670			−2.47664
$605$	−3.18570	+	1.41845i	−0.129517	+	0.0576680i
$606$	−38.2012	+	4.30094i	−1.55182	+	0.174714i
$607$	−7.27288	−	8.07735i	−0.295197	−	0.327850i	0.577241	−	0.816574i	$-0.304129\pi$
$607$	−7.27288	−	8.07735i	−0.295197	−	0.327850i	−0.872438	+	0.488724i	$0.837462\pi$
$608$	1.48684	+	14.1464i	0.0602994	+	0.573710i
$609$	6.25740	+	3.55128i	0.253563	+	0.143905i
$610$	−2.28265	+	2.53514i	−0.0924218	+	0.102645i
$611$	−9.66362	−	29.7416i	−0.390948	−	1.20321i
$612$	−7.64772	−	63.6878i	−0.309141	−	2.57443i
$613$	−14.3951	+	10.4586i	−0.581412	+	0.422421i	−0.839233	−	0.543772i	$-0.816996\pi$
$613$	−14.3951	+	10.4586i	−0.581412	+	0.422421i	0.257821	+	0.966193i	$0.416996\pi$
$614$	−52.6981	+	11.2013i	−2.12672	+	0.452049i
$615$	−0.849849	+	1.94742i	−0.0342692	+	0.0785276i
$616$	−10.4420	+	11.5973i	−0.420722	+	0.467269i
$617$	−1.99805	+	3.46073i	−0.0804386	+	0.139324i	−0.903438	−	0.428718i	$-0.858965\pi$
$617$	−1.99805	+	3.46073i	−0.0804386	+	0.139324i	0.823000	+	0.568042i	$0.192299\pi$
$618$	−36.4947	+	12.1569i	−1.46803	+	0.489023i
$619$	−10.0265	−	4.46409i	−0.403000	−	0.179427i	0.195220	−	0.980760i	$-0.437458\pi$
$619$	−10.0265	−	4.46409i	−0.403000	−	0.179427i	−0.598219	+	0.801333i	$0.704125\pi$
$620$	−8.37989	−	6.08835i	−0.336544	−	0.244514i
$621$	23.3003	−	2.97288i	0.935009	−	0.119298i
$622$	14.6926	+	45.2191i	0.589118	+	1.81312i
$623$	0.399959	−	3.80536i	0.0160240	−	0.152458i
$624$	6.07764	+	1.92518i	0.243300	+	0.0770688i
$625$	15.7263	+	17.4658i	0.629052	+	0.698633i
$626$	39.6388	−	68.6565i	1.58429	−	2.74407i
$627$	−10.5664	−	14.3193i	−0.421983	−	0.571857i
$628$	3.45380	+	5.98216i	0.137822	+	0.238714i
$629$	−1.63530	+	5.03293i	−0.0652037	+	0.200676i
$630$	−2.06764	+	2.36579i	−0.0823767	+	0.0942553i
$631$	−6.99735	−	5.08388i	−0.278560	−	0.202386i	0.439729	−	0.898131i	$-0.355075\pi$
$631$	−6.99735	−	5.08388i	−0.278560	−	0.202386i	−0.718289	+	0.695745i	$0.755075\pi$
$632$	−7.50653	+	8.33685i	−0.298594	+	0.331622i
$633$	−10.7066	−	23.5766i	−0.425549	−	0.937087i
$634$	−58.3410	+	25.9751i	−2.31702	+	1.03160i
$635$	−0.437564	−	4.16314i	−0.0173642	−	0.165209i
$636$	7.95406	−	38.8307i	0.315399	−	1.53974i
$637$	10.4672	+	18.1296i	0.414724	+	0.718323i
$638$	20.6648	−	9.20082i	0.818128	−	0.364264i
$639$	−2.59293	+	8.40100i	−0.102575	+	0.332338i
$640$	1.94048	−	5.97219i	0.0767042	−	0.236071i
$641$	33.8812	+	15.0849i	1.33823	+	0.595817i	0.946035	−	0.324066i	$-0.105050\pi$
$641$	33.8812	+	15.0849i	1.33823	+	0.595817i	0.392193	+	0.919883i	$0.371717\pi$
$642$	17.9929	−	10.5663i	0.710121	−	0.417020i
$643$	39.8425	+	8.46878i	1.57123	+	0.333976i	0.909481	−	0.415746i	$-0.136479\pi$
$643$	39.8425	+	8.46878i	1.57123	+	0.333976i	0.661753	+	0.749722i	$0.269813\pi$
$644$	−21.4775	−	4.56518i	−0.846331	−	0.179893i
$645$	−0.0144266	−	1.95089i	−0.000568049	−	0.0768162i
$646$	−41.1566	−	18.3241i	−1.61928	−	0.720952i
$647$	−0.175813	+	0.541098i	−0.00691193	+	0.0212727i	−0.954453	−	0.298361i	$-0.903560\pi$
$647$	−0.175813	+	0.541098i	−0.00691193	+	0.0212727i	0.947541	+	0.319634i	$0.103560\pi$
$648$	−24.6606	−	16.8256i	−0.968759	−	0.660973i
$649$	−26.7973	−	29.7608i	−1.05189	−	1.16821i
$650$	23.9461	+	41.4758i	0.939242	+	1.62682i
$651$	−22.2416	+	7.40901i	−0.871717	+	0.290382i
$652$	0.565682	+	5.38211i	0.0221538	+	0.210780i
$653$	−33.3696	+	14.8571i	−1.30585	+	0.581404i	−0.937404	−	0.348244i	$-0.886778\pi$
$653$	−33.3696	+	14.8571i	−1.30585	+	0.581404i	−0.368450	+	0.929648i	$0.620111\pi$
$654$	−58.1218	−	5.67463i	−2.27274	−	0.221896i
$655$	1.54862	−	1.71992i	0.0605097	−	0.0672029i
$656$	2.74549	+	1.99472i	0.107193	+	0.0778806i
$657$	−4.11079	−	12.0427i	−0.160377	−	0.469831i
$658$	7.60666	−	23.4109i	0.296538	−	0.912651i
$659$	12.0035	+	20.7907i	0.467590	+	0.809889i	0.999314	−	0.0370284i	$-0.0117892\pi$
$659$	12.0035	+	20.7907i	0.467590	+	0.809889i	−0.531725	+	0.846917i	$0.678456\pi$
$660$	1.34168	+	6.09000i	0.0522248	+	0.237053i
$661$	−6.49165	+	11.2439i	−0.252496	+	0.437336i	−0.964212	−	0.265131i	$-0.914585\pi$
$661$	−6.49165	+	11.2439i	−0.252496	+	0.437336i	0.711717	+	0.702467i	$0.247918\pi$
$662$	−28.0084	−	31.1064i	−1.08858	−	1.20899i
$663$	33.5075	−	30.6219i	1.30132	−	1.18926i
$664$	4.67651	−	44.4940i	0.181484	−	1.72670i
$665$	0.430484	+	1.32489i	0.0166935	+	0.0513772i
$666$	3.03624	+	5.08378i	0.117652	+	0.196992i
$667$	10.7098	+	7.78112i	0.414685	+	0.301286i
$668$	47.9293	+	21.3395i	1.85444	+	0.825649i
$669$	2.49588	+	2.21410i	0.0964962	+	0.0856020i
$670$	3.67978	−	6.37356i	0.142162	−	0.246232i
$671$	13.9991	+	6.23263i	0.540430	+	0.240608i
$672$	−6.69825	−	9.07743i	−0.258391	−	0.350169i
$673$	−16.6536	+	3.53983i	−0.641949	+	0.136451i	−0.517374	−	0.855760i	$-0.673090\pi$
$673$	−16.6536	+	3.53983i	−0.641949	+	0.136451i	−0.124576	+	0.992210i	$0.539757\pi$
$674$	−20.6737	+	15.0204i	−0.796323	+	0.578562i
$675$	−5.84422	−	24.7787i	−0.224944	−	0.953731i
$676$	4.88349	+	15.0298i	0.187827	+	0.578071i
$677$	−23.7084	+	26.3308i	−0.911187	+	1.01198i	0.0886859	+	0.996060i	$0.471733\pi$
$677$	−23.7084	+	26.3308i	−0.911187	+	1.01198i	−0.999873	+	0.0159165i	$0.994933\pi$
$678$	−0.221684	−	29.9779i	−0.00851372	−	1.15129i
$679$	−0.779536	−	7.41679i	−0.0299158	−	0.284630i
$680$	4.39371	+	4.87971i	0.168491	+	0.187128i
$681$	11.0920	−	25.4172i	0.425046	−	0.973988i
$682$	−22.7753	+	70.0975i	−0.872110	+	2.68417i
$683$	23.8967			0.914381			0.457191	−	0.889369i	$-0.348856\pi$
$683$	23.8967			0.914381			0.457191	+	0.889369i	$0.348856\pi$
$684$	−28.8776	+	13.3723i	−1.10416	+	0.511303i
$685$	2.51533	−	1.82749i	0.0961058	−	0.0698250i
$686$	−4.13975	+	39.3871i	−0.158056	+	1.50381i
$687$	−0.374503	−	0.824682i	−0.0142882	−	0.0314636i
$688$	−3.04787	−	0.647845i	−0.116199	−	0.0246989i
$689$	25.6240	−	11.4085i	0.976197	−	0.434631i
$690$	−4.26740	+	3.89991i	−0.162457	+	0.148467i
$691$	0.579665	−	0.123212i	0.0220515	−	0.00468719i	−0.196873	−	0.980429i	$-0.563079\pi$
$691$	0.579665	−	0.123212i	0.0220515	−	0.00468719i	0.218924	+	0.975742i	$0.429745\pi$
$692$	−3.37645			−0.128353
$693$	12.9772	+	5.54916i	0.492962	+	0.210795i
$694$	51.4682			1.95371
$695$	−2.93871	+	0.624643i	−0.111472	+	0.0236940i
$696$	−3.61971	−	16.4310i	−0.137205	−	0.622815i
$697$	22.0737	−	9.82785i	0.836101	−	0.372256i
$698$	41.9257	+	8.91158i	1.58691	+	0.337308i
$699$	−10.3313	+	14.4432i	−0.390766	+	0.546293i
$700$	−2.48759	+	23.6678i	−0.0940221	+	0.894560i
$701$	20.5701	−	14.9451i	0.776922	−	0.564467i	−0.127131	−	0.991886i	$-0.540577\pi$
$701$	20.5701	−	14.9451i	0.776922	−	0.564467i	0.904054	+	0.427419i	$0.140577\pi$
$702$	−1.12669	−	50.7794i	−0.0425242	−	1.91655i
$703$	2.62542			0.0990194
$704$	−41.2852		0.000426626i	−1.55599		1.60791e-5i
$705$	−2.42922	−	3.29206i	−0.0914896	−	0.123986i
$706$	51.5377	+	57.2384i	1.93965	+	2.15420i
$707$	−1.41300	−	13.4438i	−0.0531414	−	0.505607i
$708$	−61.7541	+	36.2652i	−2.32086	+	1.36293i
$709$	10.1070	−	11.2250i	0.379576	−	0.421562i	−0.522838	−	0.852432i	$-0.675127\pi$
$709$	10.1070	−	11.2250i	0.379576	−	0.421562i	0.902414	+	0.430870i	$0.141793\pi$
$710$	−0.668663	−	2.05793i	−0.0250945	−	0.0772329i
$711$	9.32882	+	3.98921i	0.349858	+	0.149607i
$712$	−7.23882	+	5.25931i	−0.271286	+	0.197101i
$713$	−42.1909	+	8.96796i	−1.58006	+	0.335853i
$714$	35.5059	−	3.99749i	1.32877	−	0.149602i
$715$	−2.95278	+	3.27947i	−0.110428	+	0.122645i
$716$	19.2200	−	33.2900i	0.718284	−	1.24410i
$717$	−3.35099	+	16.3591i	−0.125145	+	0.610942i
$718$	6.38005	+	2.84058i	0.238101	+	0.106010i
$719$	−9.74281	−	7.07857i	−0.363345	−	0.263986i	0.391101	−	0.920348i	$-0.372094\pi$
$719$	−9.74281	−	7.07857i	−0.363345	−	0.263986i	−0.754446	+	0.656362i	$0.772094\pi$
$720$	0.833980	−	0.0123351i	0.0310806	−	0.000459701i
$721$	−4.17983	−	12.8642i	−0.155665	−	0.479088i
$722$	2.28920	−	21.7803i	0.0851953	−	0.810579i
$723$	0.103864	+	0.471472i	0.00386275	+	0.0175342i
$724$	41.0725	+	45.6156i	1.52645	+	1.69529i
$725$	7.17396	−	12.4257i	0.266434	−	0.461477i
$726$	38.2630	−	22.4711i	1.42007	−	0.833980i
$727$	−24.7966	−	42.9489i	−0.919654	−	1.59289i	−0.799940	−	0.600079i	$-0.795136\pi$
$727$	−24.7966	−	42.9489i	−0.919654	−	1.59289i	−0.119714	−	0.992808i	$-0.538198\pi$
$728$	−6.10251	+	18.7816i	−0.226174	+	0.696092i
$729$	−7.19630	+	26.0233i	−0.266530	+	0.963827i
$730$	2.53368	+	1.84082i	0.0937755	+	0.0681319i
$731$	−14.8452	+	16.4873i	−0.549070	+	0.609804i
$732$	15.9427	−	22.2880i	0.589259	−	0.823788i
$733$	−29.4759	+	13.1235i	−1.08872	+	0.484728i	−0.871000	−	0.491284i	$-0.836528\pi$
$733$	−29.4759	+	13.1235i	−1.08872	+	0.484728i	−0.217717	+	0.976012i	$0.569861\pi$
$734$	−0.404721	−	3.85066i	−0.0149385	−	0.142131i
$735$	2.04883	+	1.81753i	0.0755724	+	0.0670404i
$736$	−10.3783	−	17.9757i	−0.382548	−	0.662593i
$737$	−32.3368	−	6.87305i	−1.19114	−	0.253172i
$738$	7.97369	−	25.8344i	0.293516	−	0.950979i
$739$	−0.968005	+	2.97921i	−0.0356086	+	0.109592i	−0.967281	−	0.253708i	$-0.918350\pi$
$739$	−0.968005	+	2.97921i	−0.0356086	+	0.109592i	0.931672	+	0.363300i	$0.118350\pi$
$740$	−0.840464	−	0.374199i	−0.0308961	−	0.0137558i
$741$	−19.5855	−	11.1154i	−0.719490	−	0.408334i
$742$	21.5961	+	4.59040i	0.792818	+	0.168519i
$743$	−7.61856	−	1.61938i	−0.279498	−	0.0594091i	0.0660298	−	0.997818i	$-0.478967\pi$
$743$	−7.61856	−	1.61938i	−0.279498	−	0.0594091i	−0.345528	+	0.938409i	$0.612300\pi$
$744$	47.6776	+	27.0586i	1.74795	+	0.992016i
$745$	1.19536	+	0.532208i	0.0437946	+	0.0194986i
$746$	−15.4798	+	47.6420i	−0.566756	+	1.74430i
$747$	−39.4495	+	8.99701i	−1.44338	+	0.329183i
$748$	35.4570	−	61.4148i	1.29644	−	2.24555i
$749$	3.66865	+	6.35428i	0.134049	+	0.232180i
$750$	9.47052	+	8.40132i	0.345815	+	0.306773i
$751$	−5.19392	−	49.4168i	−0.189529	−	1.80325i	−0.514467	−	0.857510i	$-0.672010\pi$
$751$	−5.19392	−	49.4168i	−0.189529	−	1.80325i	0.324938	−	0.945735i	$-0.394656\pi$
$752$	−5.96953	+	2.65780i	−0.217686	+	0.0969201i
$753$	4.45941	−	6.23429i	0.162510	−	0.227190i
$754$	19.1541	−	21.2727i	0.697549	−	0.774707i
$755$	−4.55890	−	3.31224i	−0.165915	−	0.120545i
$756$	14.3786	−	20.7429i	0.522945	−	0.754414i
$757$	−8.35296	+	25.7078i	−0.303594	+	0.934365i	0.676605	+	0.736346i	$0.263451\pi$
$757$	−8.35296	+	25.7078i	−0.303594	+	0.934365i	−0.980198	+	0.198018i	$0.936549\pi$
$758$	−14.4623	−	25.0495i	−0.525295	−	0.909838i
$759$	22.5847	+	12.8173i	0.819774	+	0.465237i
$760$	1.62882	−	2.82121i	0.0590836	−	0.102336i
$761$	29.7834	+	33.0778i	1.07965	+	1.19907i	0.978939	+	0.204153i	$0.0654439\pi$
$761$	29.7834	+	33.0778i	1.07965	+	1.19907i	0.100707	+	0.994916i	$0.467889\pi$
$762$	11.4596	+	52.0188i	0.415138	+	1.88444i
$763$	2.14650	−	20.4226i	0.0777084	−	0.739346i
$764$	13.6374	+	41.9716i	0.493384	+	1.51848i
$765$	2.89293	−	5.18635i	0.104594	−	0.187513i
$766$	−1.50675	−	1.09472i	−0.0544412	−	0.0395538i
$767$	−46.2969	−	20.6127i	−1.67168	−	0.744282i
$768$	−7.38145	+	36.0353i	−0.266355	+	1.30031i
$769$	1.65952	−	2.87438i	0.0598440	−	0.103653i	−0.834551	−	0.550930i	$-0.814273\pi$
$769$	1.65952	−	2.87438i	0.0598440	−	0.103653i	0.894395	+	0.447277i	$0.147606\pi$
$770$	−3.39769	+	0.722237i	−0.122444	+	0.0260276i
$771$	6.29008	−	0.708179i	0.226532	−	0.0255044i
$772$	77.5426	−	16.4822i	2.79082	−	0.593207i
$773$	−23.0471	+	16.7447i	−0.828946	+	0.602264i	−0.919261	−	0.393649i	$-0.871213\pi$
$773$	−23.0471	+	16.7447i	−0.828946	+	0.602264i	0.0903152	+	0.995913i	$0.471213\pi$
$774$	2.95976	+	24.6479i	0.106386	+	0.885950i
$775$	14.4465	+	44.4617i	0.518934	+	1.59711i
$776$	−11.6692	+	12.9600i	−0.418901	+	0.465236i
$777$	−1.79550	+	1.05441i	−0.0644132	+	0.0378268i
$778$	0.422791	+	4.02259i	0.0151578	+	0.144217i
$779$	−8.02120	−	8.90844i	−0.287389	−	0.319178i
$780$	4.68555	+	6.34982i	0.167769	+	0.227360i
$781$	−7.86356	+	5.71334i	−0.281380	+	0.204439i
$782$	65.7407			2.35088
$783$	−13.0060	+	7.89877i	−0.464796	+	0.282279i
$784$	3.53890	−	2.57116i	0.126389	−	0.0918273i
$785$	−0.0668471	+	0.636008i	−0.00238588	+	0.0227001i
$786$	−17.1334	+	23.9525i	−0.611127	+	0.854359i
$787$	−12.7636	−	2.71298i	−0.454972	−	0.0967072i	−0.0252751	−	0.999681i	$-0.508046\pi$
$787$	−12.7636	−	2.71298i	−0.454972	−	0.0967072i	−0.429697	+	0.902973i	$0.641379\pi$
$788$	3.37114	−	1.50093i	0.120092	−	0.0534684i
$789$	5.38543	+	24.4462i	0.191726	+	0.870306i
$790$	−2.44249	+	0.519167i	−0.0868999	+	0.0184711i
$791$	10.5417			0.374819
$792$	−10.6624	−	31.2348i	−0.378872	−	1.10988i
$793$	19.3917			0.688618
$794$	56.4058	−	11.9894i	2.00177	−	0.425489i
$795$	2.70883	−	2.47556i	0.0960723	−	0.0877989i
$796$	51.3987	−	22.8842i	1.82178	−	0.811108i
$797$	−49.0769	−	10.4316i	−1.73839	−	0.369507i	−0.773838	−	0.633384i	$-0.781666\pi$
$797$	−49.0769	−	10.4316i	−1.73839	−	0.369507i	−0.964556	+	0.263877i	$0.914999\pi$
$798$	−7.32950	−	16.1400i	−0.259461	−	0.571351i
$799$	−4.86326	+	46.2708i	−0.172050	+	1.63694i
$800$	−18.2003	+	13.2233i	−0.643477	+	0.467514i
$801$	6.61649	+	4.65923i	0.233782	+	0.164626i
$802$	50.8941			1.79713
$803$	4.34712	−	13.3795i	0.153407	−	0.472154i
$804$	−23.6455	+	54.1835i	−0.833914	+	1.91091i
$805$	−1.36023	−	1.51068i	−0.0479416	−	0.0532446i
$806$	9.74935	+	92.7589i	0.343406	+	3.26729i
$807$	0.0117545	+	1.58954i	0.000413779	+	0.0559546i
$808$	−21.1519	+	23.4915i	−0.744120	+	0.826429i
$809$	−10.8621	−	33.4301i	−0.381892	−	1.17534i	−0.938710	−	0.344707i	$-0.887978\pi$
$809$	−10.8621	−	33.4301i	−0.381892	−	1.17534i	0.556819	−	0.830634i	$-0.312022\pi$
$810$	−2.23945	−	6.25633i	−0.0786861	−	0.219825i
$811$	−17.8837	+	12.9933i	−0.627981	+	0.456255i	−0.855700	−	0.517472i	$-0.826873\pi$
$811$	−17.8837	+	12.9933i	−0.627981	+	0.456255i	0.227719	+	0.973727i	$0.426873\pi$
$812$	13.9134	−	2.95739i	0.488266	−	0.103784i
$813$	2.71932	+	3.68521i	0.0953708	+	0.129246i
$814$	−0.684219	+	6.51055i	−0.0239819	+	0.228195i
$815$	−0.250512	+	0.433900i	−0.00877506	+	0.0151989i
$816$	−7.09541	−	6.29436i	−0.248389	−	0.220347i
$817$	10.0552	+	4.47684i	0.351785	+	0.156625i
$818$	−15.1391	−	10.9992i	−0.529327	−	0.384579i
$819$	17.8584	−	0.264137i	0.624024	−	0.00922971i
$820$	1.29808	+	3.99508i	0.0453309	+	0.139514i
$821$	−0.265209	+	2.52330i	−0.00925587	+	0.0880637i	−0.998175	−	0.0603941i	$-0.980764\pi$
$821$	−0.265209	+	2.52330i	−0.00925587	+	0.0880637i	0.988919	+	0.148458i	$0.0474309\pi$
$822$	−29.2039	+	26.6890i	−1.01860	+	0.930886i
$823$	−6.94069	−	7.70841i	−0.241937	−	0.268698i	0.609931	−	0.792454i	$-0.291197\pi$
$823$	−6.94069	−	7.70841i	−0.241937	−	0.268698i	−0.851868	+	0.523756i	$0.824530\pi$
$824$	−15.8152	+	27.3928i	−0.550950	+	0.954273i
$825$	11.2571	−	25.7962i	0.391921	−	0.898110i
$826$	−19.9455	−	34.5467i	−0.693994	−	1.20203i
$827$	16.2925	−	50.1431i	0.566546	−	1.74365i	−0.0967683	−	0.995307i	$-0.530851\pi$
$827$	16.2925	−	50.1431i	0.566546	−	1.74365i	0.663314	−	0.748341i	$-0.269149\pi$
$828$	30.5593	−	34.9659i	1.06201	−	1.21515i
$829$	−30.6163	−	22.2440i	−1.06335	−	0.772566i	−0.0886419	−	0.996064i	$-0.528253\pi$
$829$	−30.6163	−	22.2440i	−1.06335	−	0.772566i	−0.974705	+	0.223497i	$0.928253\pi$
$830$	6.66343	−	7.40049i	0.231291	−	0.256875i
$831$	−49.8271	−	4.86479i	−1.72848	−	0.168758i
$832$	−47.7277	+	21.2497i	−1.65466	+	0.736703i
$833$	−3.25558	−	30.9748i	−0.112799	−	1.07321i
$834$	36.2699	−	12.0820i	1.25592	−	0.418367i
$835$	2.42863	+	4.20651i	0.0840462	+	0.145572i
$836$	−34.4135	−	7.31444i	−1.19021	−	0.252975i
$837$	9.23003	−	48.7137i	0.319037	−	1.68379i
$838$	−4.02803	+	12.3970i	−0.139146	+	0.428247i
$839$	−18.3765	−	8.18173i	−0.634426	−	0.282465i	0.0642158	−	0.997936i	$-0.479545\pi$
$839$	−18.3765	−	8.18173i	−0.634426	−	0.282465i	−0.698642	+	0.715471i	$0.746212\pi$
$840$	0.0191052	+	2.58356i	0.000659192	+	0.0891413i
$841$	19.9779	+	4.24643i	0.688893	+	0.146429i
$842$	−86.2364	−	18.3301i	−2.97190	−	0.631697i
$843$	13.0575	−	7.66805i	0.449724	−	0.264102i
$844$	−46.7660	−	20.8216i	−1.60975	−	0.716709i
$845$	−0.452118	+	1.39148i	−0.0155533	+	0.0478682i
$846$	35.4034	+	38.1688i	1.21719	+	1.31227i
$847$	7.80199	+	13.5128i	0.268079	+	0.464305i
$848$	−2.93048	−	5.07575i	−0.100633	−	0.174302i
$849$	−8.06975	+	39.3955i	−0.276953	+	1.35205i
$850$	−7.44790	−	70.8621i	−0.255461	−	2.43055i
$851$	−3.49988	+	1.55825i	−0.119974	+	0.0534160i
$852$	7.18704	+	15.8264i	0.246224	+	0.542202i
$853$	6.10260	−	6.77762i	0.208949	−	0.232061i	−0.629556	−	0.776955i	$-0.716763\pi$
$853$	6.10260	−	6.77762i	0.208949	−	0.232061i	0.838505	+	0.544894i	$0.183430\pi$
$854$	12.3489	+	8.97197i	0.422569	+	0.307014i
$855$	−2.89061	−	0.569872i	−0.0988567	−	0.0194892i
$856$	5.30210	−	16.3182i	0.181222	−	0.557744i
$857$	0.922678	+	1.59813i	0.0315181	+	0.0545909i	0.881354	−	0.472456i	$-0.156632\pi$
$857$	0.922678	+	1.59813i	0.0315181	+	0.0545909i	−0.849836	+	0.527047i	$0.823299\pi$
$858$	32.6683	−	45.6715i	1.11528	−	1.55920i
$859$	−14.2555	+	24.6913i	−0.486392	+	0.842456i	−0.999878	−	0.0156422i	$-0.995021\pi$
$859$	−14.2555	+	24.6913i	−0.486392	+	0.842456i	0.513485	+	0.858098i	$0.328354\pi$
$860$	−2.58084	−	2.86631i	−0.0880058	−	0.0977403i
$861$	9.06341	+	2.87096i	0.308880	+	0.0978420i
$862$	7.25093	−	68.9880i	0.246968	−	2.34974i
$863$	−3.30628	−	10.1757i	−0.112547	−	0.346385i	0.878880	−	0.477042i	$-0.158291\pi$
$863$	−3.30628	−	10.1757i	−0.112547	−	0.346385i	−0.991428	+	0.130658i	$0.958291\pi$
$864$	23.6671	−	3.01967i	0.805170	−	0.102731i
$865$	−0.252894	−	0.183738i	−0.00859865	−	0.00624729i
$866$	−0.594192	−	0.264551i	−0.0201915	−	0.00898981i
$867$	−36.1360	+	12.0375i	−1.22724	+	0.408813i
$868$	−23.1735	+	40.1376i	−0.786559	+	1.36236i
$869$	5.60849	+	9.71396i	0.190255	+	0.329524i
$870$	1.49790	−	3.43242i	0.0507834	−	0.116370i
$871$	−40.9206	+	8.69795i	−1.38654	+	0.294719i
$872$	−38.8492	+	28.2256i	−1.31560	+	0.955840i
$873$	14.5020	+	6.20139i	0.490820	+	0.209885i
$874$	−10.0786	−	31.0187i	−0.340913	−	1.04922i
$875$	−2.97878	+	3.30826i	−0.100701	+	0.111840i
$876$	−21.8792	−	12.4172i	−0.739231	−	0.419537i
$877$	−4.26813	−	40.6086i	−0.144125	−	1.37125i	−0.792472	−	0.609909i	$-0.791206\pi$
$877$	−4.26813	−	40.6086i	−0.144125	−	1.37125i	0.648347	−	0.761345i	$-0.275461\pi$
$878$	23.3707	+	25.9558i	0.788723	+	0.875966i
$879$	−36.1024	+	4.06464i	−1.21770	+	0.137097i
$880$	0.746000	+	0.541989i	0.0251477	+	0.0182705i
$881$	21.0458			0.709050			0.354525	−	0.935047i	$-0.384643\pi$
$881$	21.0458			0.709050			0.354525	+	0.935047i	$0.384643\pi$
$882$	−28.4944	−	20.0653i	−0.959456	−	0.675634i
$883$	−10.2973	+	7.48145i	−0.346533	+	0.251771i	−0.747413	−	0.664360i	$-0.768704\pi$
$883$	−10.2973	+	7.48145i	−0.346533	+	0.251771i	0.400880	+	0.916130i	$0.368704\pi$
$884$	9.38039	−	89.2484i	0.315497	−	3.00175i
$885$	−6.59882	−	0.644265i	−0.221817	−	0.0216567i
$886$	−33.0321	−	7.02120i	−1.10974	−	0.235882i
$887$	9.79776	−	4.36224i	0.328977	−	0.146470i	−0.235601	−	0.971850i	$-0.575706\pi$
$887$	9.79776	−	4.36224i	0.328977	−	0.146470i	0.564578	+	0.825380i	$0.309039\pi$
$888$	4.64184	+	1.47037i	0.155770	+	0.0493423i
$889$	−18.3211	+	3.89427i	−0.614470	+	0.130610i
$890$	−1.99164			−0.0667599
$891$	−23.6192	+	18.2519i	−0.791273	+	0.611463i
$892$	6.59606			0.220852
$893$	22.5777	−	4.79904i	0.755535	−	0.160594i
$894$	−15.8726	−	5.02787i	−0.530860	−	0.168157i
$895$	3.25113	−	1.44750i	0.108673	−	0.0483844i
$896$	−27.4835	−	5.84180i	−0.918159	−	0.195161i
$897$	32.7062	+	3.19322i	1.09203	+	0.106618i
$898$	5.16636	−	49.1546i	0.172404	−	1.64031i
$899$	22.6060	−	16.4242i	0.753952	−	0.547778i
$900$	−41.1520	−	28.9786i	−1.37173	−	0.965953i
$901$	−41.7304			−1.39024
$902$	24.1817	−	17.5695i	0.805164	−	0.584999i
$903$	−8.67461	+	0.976645i	−0.288673	+	0.0325007i
$904$	−16.4949	−	18.3195i	−0.548613	−	0.609296i
$905$	0.594012	+	5.65165i	0.0197456	+	0.187867i
$906$	62.3614	+	35.3921i	2.07182	+	1.17582i
$907$	−8.86302	+	9.84338i	−0.294292	+	0.326844i	−0.872099	−	0.489329i	$-0.837242\pi$
$907$	−8.86302	+	9.84338i	−0.294292	+	0.326844i	0.577807	+	0.816173i	$0.303908\pi$
$908$	−16.9422	−	52.1426i	−0.562245	−	1.73041i
$909$	26.2867	+	11.2408i	0.871874	+	0.372833i
$910$	−3.55618	+	2.58372i	−0.117886	+	0.0856494i
$911$	55.8762	−	11.8768i	1.85126	−	0.393497i	0.858420	−	0.512948i	$-0.171447\pi$
$911$	55.8762	−	11.8768i	1.85126	−	0.393497i	0.992840	+	0.119451i	$0.0381134\pi$
$912$	−1.88211	+	4.31283i	−0.0623228	+	0.142812i
$913$	−40.8657	−	18.1941i	−1.35246	−	0.602136i
$914$	3.73747	−	6.47348i	0.123624	−	0.214124i
$915$	2.40696	−	0.801794i	0.0795716	−	0.0265065i
$916$	−1.63582	−	0.728314i	−0.0540490	−	0.0240642i
$917$	−8.37786	−	6.08687i	−0.276661	−	0.201006i
$918$	−29.1968	+	69.6983i	−0.963638	+	2.30039i
$919$	5.12287	+	15.7666i	0.168988	+	0.520091i	0.999308	−	0.0371955i	$-0.0118424\pi$
$919$	5.12287	+	15.7666i	0.168988	+	0.520091i	−0.830320	+	0.557287i	$0.811842\pi$
$920$	−0.496894	+	4.72763i	−0.0163821	+	0.155865i
$921$	38.1960	+	12.0991i	1.25860	+	0.398679i
$922$	41.0259	+	45.5639i	1.35112	+	1.50057i
$923$	−6.15009	+	10.6523i	−0.202433	+	0.350624i
$924$	26.4727	−	8.81875i	0.870887	−	0.290116i
$925$	2.07615	+	3.59600i	0.0682634	+	0.118236i
$926$	2.61125	−	8.03660i	0.0858109	−	0.264099i
$927$	28.0667	+	5.53323i	0.921830	+	0.181735i
$928$	10.8784	+	7.90359i	0.357100	+	0.259448i
$929$	−4.92734	+	5.47236i	−0.161661	+	0.179542i	−0.818533	−	0.574459i	$-0.805212\pi$
$929$	−4.92734	+	5.47236i	−0.161661	+	0.179542i	0.656872	+	0.754002i	$0.271879\pi$
$930$	5.04546	+	11.1105i	0.165447	+	0.364326i
$931$	−14.1159	+	6.28478i	−0.462629	+	0.205976i
$932$	3.66970	+	34.9149i	0.120205	+	1.14368i
$933$	7.09569	−	34.6402i	0.232303	−	1.13407i
$934$	21.5376	+	37.3043i	0.704733	+	1.22063i
$935$	5.99776	−	2.67045i	0.196148	−	0.0873330i
$936$	−28.4027	−	30.6213i	−0.928372	−	1.00089i
$937$	14.6033	−	44.9444i	0.477069	−	1.46827i	−0.366077	−	0.930584i	$-0.619299\pi$
$937$	14.6033	−	44.9444i	0.477069	−	1.46827i	0.843147	−	0.537684i	$-0.180701\pi$
$938$	−30.0831	−	13.3939i	−0.982248	−	0.437325i
$939$	−50.8396	+	29.8557i	−1.65909	+	0.974304i
$940$	−7.91172	−	1.68169i	−0.258052	−	0.0548506i
$941$	54.9022	+	11.6698i	1.78976	+	0.380425i	0.978823	−	0.204709i	$-0.0656248\pi$
$941$	54.9022	+	11.6698i	1.78976	+	0.380425i	0.810937	+	0.585134i	$0.198958\pi$
$942$	−0.0601745	−	8.13730i	−0.00196059	−	0.265127i
$943$	15.9803	+	7.11487i	0.520389	+	0.231692i
$944$	−3.27233	+	10.0712i	−0.106505	+	0.327789i
$945$	2.20573	−	0.771186i	0.0717525	−	0.0250867i
$946$	−13.7223	+	23.7682i	−0.446149	+	0.772772i
$947$	6.39323	+	11.0734i	0.207752	+	0.359837i	0.951006	−	0.309172i	$-0.100052\pi$
$947$	6.39323	+	11.0734i	0.207752	+	0.359837i	−0.743254	+	0.669009i	$0.766719\pi$
$948$	19.0304	−	6.33931i	0.618079	−	0.205891i
$949$	−1.86086	−	17.7049i	−0.0604061	−	0.574726i
$950$	−32.2933	+	14.3779i	−1.04773	+	0.466481i
$951$	47.2688	+	4.61501i	1.53280	+	0.149652i
$952$	19.6595	−	21.8341i	0.637168	−	0.707646i
$953$	18.8480	+	13.6939i	0.610547	+	0.443588i	0.849607	−	0.527417i	$-0.176839\pi$
$953$	18.8480	+	13.6939i	0.610547	+	0.443588i	−0.239060	+	0.971005i	$0.576839\pi$
$954$	−30.7281	+	35.1590i	−0.994858	+	1.13832i
$955$	−1.26256	+	3.88576i	−0.0408555	+	0.125740i
$956$	16.5067	+	28.5904i	0.533864	+	0.924680i
$957$	−16.7430	−	1.63451i	−0.541226	−	0.0528361i
$958$	0.182825	−	0.316662i	0.00590680	−	0.0102309i
$959$	−9.30870	−	10.3384i	−0.300593	−	0.333843i
$960$	−5.04551	+	4.61101i	−0.162843	+	0.148820i
$961$	−6.27644	+	59.7163i	−0.202466	+	1.92633i
$962$	2.55995	+	7.87872i	0.0825362	+	0.254020i
$963$	−15.5161	+	0.229493i	−0.499999	+	0.00739530i
$964$	0.772163	+	0.561009i	0.0248697	+	0.0180689i
$965$	6.70482	+	2.98518i	0.215836	+	0.0960962i
$966$	19.3503	+	17.1657i	0.622586	+	0.552297i
$967$	27.7586	−	48.0794i	0.892657	−	1.54613i	0.0559798	−	0.998432i	$-0.482172\pi$
$967$	27.7586	−	48.0794i	0.892657	−	1.54613i	0.836677	−	0.547696i	$-0.184495\pi$
$968$	11.2747	−	34.7023i	0.362382	−	1.11537i
$969$	19.8932	+	26.9591i	0.639062	+	0.866052i
$970$	−3.79695	+	0.807068i	−0.121913	+	0.0259134i
$971$	3.65698	−	2.65695i	0.117358	−	0.0852656i	−0.527558	−	0.849519i	$-0.676892\pi$
$971$	3.65698	−	2.65695i	0.117358	−	0.0852656i	0.644916	+	0.764253i	$0.276892\pi$
$972$	23.4988	+	47.9281i	0.753726	+	1.53729i
$973$	4.15409	+	12.7850i	0.133174	+	0.409867i
$974$	27.9368	−	31.0269i	0.895152	−	0.994167i
$975$	−0.263376	−	35.6158i	−0.00843478	−	1.14062i
$976$	−0.423547	−	4.02978i	−0.0135574	−	0.128990i
$977$	−18.0928	−	20.0941i	−0.578840	−	0.642867i	0.380613	−	0.924734i	$-0.375713\pi$
$977$	−18.0928	−	20.0941i	−0.578840	−	0.642867i	−0.959453	+	0.281867i	$0.909046\pi$
$978$	2.54994	−	5.84317i	0.0815382	−	0.186844i
$979$	2.76469	+	8.50854i	0.0883599	+	0.271934i
$980$	5.41462			0.172964
$981$	35.5093	+	25.0051i	1.13372	+	0.798351i
$982$	12.5261	−	9.10076i	0.399725	−	0.290417i
$983$	−1.11193	+	10.5793i	−0.0354651	+	0.337428i	0.962374	+	0.271727i	$0.0875949\pi$
$983$	−1.11193	+	10.5793i	−0.0354651	+	0.337428i	−0.997839	+	0.0657006i	$0.979072\pi$
$984$	−9.19262	−	20.2428i	−0.293050	−	0.645316i
$985$	0.334174	+	0.0710309i	0.0106477	+	0.00226323i
$986$	−38.9059	+	17.3220i	−1.23902	+	0.551645i
$987$	−13.5133	+	12.3496i	−0.430134	+	0.393093i
$988$	−43.5486	+	9.25653i	−1.38546	+	0.294490i
$989$	−16.0614			−0.510723
$990$	2.16651	−	7.01966i	0.0688562	−	0.223100i
$991$	−18.7938			−0.597005			−0.298502	−	0.954409i	$-0.596487\pi$
$991$	−18.7938			−0.597005			−0.298502	+	0.954409i	$0.596487\pi$
$992$	−42.8550	+	9.10912i	−1.36065	+	0.289215i
$993$	6.69710	+	30.4002i	0.212526	+	0.964722i
$994$	−8.84496	+	3.93803i	−0.280545	+	0.124907i
$995$	5.09504	+	1.08298i	0.161524	+	0.0343329i
$996$	−46.5394	+	65.0623i	−1.47466	+	2.06158i
$997$	2.73106	−	25.9843i	0.0864935	−	0.822931i	−0.862165	−	0.506628i	$-0.830892\pi$
$997$	2.73106	−	25.9843i	0.0864935	−	0.822931i	0.948658	−	0.316303i	$-0.102442\pi$
$998$	−63.9637	+	46.4723i	−2.02473	+	1.47106i
$999$	−0.0976853	−	4.40263i	−0.00309063	−	0.139293i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.31.1	yes	72
3.2	odd	2		297.2.n.b.64.9		72
9.2	odd	6		297.2.n.b.262.1		72
9.4	even	3		891.2.f.f.163.9		36
9.5	odd	6		891.2.f.e.163.1		36
9.7	even	3	inner	99.2.m.b.97.9	yes	72
11.4	even	5		1089.2.e.p.364.1		36
11.5	even	5	inner	99.2.m.b.49.9	yes	72
11.7	odd	10		1089.2.e.o.364.18		36
33.5	odd	10		297.2.n.b.280.1		72
99.4	even	15		9801.2.a.cm.1.18		18
99.5	odd	30		891.2.f.e.82.1		36
99.7	odd	30		1089.2.e.o.727.18		36
99.16	even	15	inner	99.2.m.b.16.1	✓	72
99.38	odd	30		297.2.n.b.181.9		72
99.40	odd	30		9801.2.a.co.1.1		18
99.49	even	15		891.2.f.f.82.9		36
99.59	odd	30		9801.2.a.cp.1.1		18
99.70	even	15		1089.2.e.p.727.1		36
99.95	even	30		9801.2.a.cn.1.18		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.1	✓	72	99.16	even	15	inner
99.2.m.b.31.1	yes	72	1.1	even	1	trivial
99.2.m.b.49.9	yes	72	11.5	even	5	inner
99.2.m.b.97.9	yes	72	9.7	even	3	inner
297.2.n.b.64.9		72	3.2	odd	2
297.2.n.b.181.9		72	99.38	odd	30
297.2.n.b.262.1		72	9.2	odd	6
297.2.n.b.280.1		72	33.5	odd	10
891.2.f.e.82.1		36	99.5	odd	30
891.2.f.e.163.1		36	9.5	odd	6
891.2.f.f.82.9		36	99.49	even	15
891.2.f.f.163.9		36	9.4	even	3
1089.2.e.o.364.18		36	11.7	odd	10
1089.2.e.o.727.18		36	99.7	odd	30
1089.2.e.p.364.1		36	11.4	even	5
1089.2.e.p.727.1		36	99.70	even	15
9801.2.a.cm.1.18		18	99.4	even	15
9801.2.a.cn.1.18		18	99.95	even	30
9801.2.a.co.1.1		18	99.40	odd	30
9801.2.a.cp.1.1		18	99.59	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.27811 + 0.484227i) q^{2} +(1.65119 + 0.523037i) q^{3} +(3.12821 - 1.39277i) q^{4} +(0.310092 + 0.0659121i) q^{5} +(-4.01486 - 0.391985i) q^{6} +(0.148273 - 1.41072i) q^{7} +(-2.68358 + 1.94973i) q^{8} +(2.45286 + 1.72727i) q^{9} -0.738340 q^{10} +(1.02493 + 3.15429i) q^{11} +(5.89374 - 0.663556i) q^{12} +(2.80837 + 3.11901i) q^{13} +(0.345328 + 3.28557i) q^{14} +(0.477547 + 0.271023i) q^{15} +(0.586822 - 0.651731i) q^{16} +(-1.92957 - 5.93860i) q^{17} +(-6.42428 - 2.74716i) q^{18} +(-2.50622 + 1.82087i) q^{19} +(1.06183 - 0.225700i) q^{20} +(0.982687 - 2.25182i) q^{21} +(-3.86228 - 6.68951i) q^{22} +(2.26025 - 3.91487i) q^{23} +(-5.45088 + 1.81577i) q^{24} +(-4.47591 - 1.99281i) q^{25} +(-7.90807 - 5.74555i) q^{26} +(3.14672 + 4.13499i) q^{27} +(-1.50098 - 4.61954i) q^{28} +(-0.306106 + 2.91240i) q^{29} +(-1.21914 - 0.386179i) q^{30} +(-6.38469 - 7.09091i) q^{31} +(2.29583 - 3.97649i) q^{32} +(0.0425387 + 5.74441i) q^{33} +(7.27140 + 12.5944i) q^{34} +(0.138962 - 0.427681i) q^{35} +(10.0788 + 1.98699i) q^{36} +(-0.685637 - 0.498145i) q^{37} +(4.82772 - 5.36173i) q^{38} +(3.00579 + 6.61896i) q^{39} +(-0.960667 + 0.427717i) q^{40} +(0.404484 + 3.84841i) q^{41} +(-1.14828 + 5.60573i) q^{42} +(-1.77651 - 3.07700i) q^{43} +(7.59937 + 8.43978i) q^{44} +(0.646766 + 0.697286i) q^{45} +(-3.25341 + 10.0130i) q^{46} +(-6.80683 - 3.03059i) q^{47} +(1.30983 - 0.769203i) q^{48} +(4.87888 + 1.03704i) q^{49} +(11.1616 + 2.37247i) q^{50} +(-0.0799760 - 10.8150i) q^{51} +(13.1292 + 5.84550i) q^{52} +(2.06517 - 6.35595i) q^{53} +(-9.17084 - 7.89623i) q^{54} +(0.109916 + 1.04568i) q^{55} +(2.35263 + 4.07487i) q^{56} +(-5.09063 + 1.69577i) q^{57} +(-0.712921 - 6.78299i) q^{58} +(-11.0309 + 4.91125i) q^{59} +(1.87134 + 0.182705i) q^{60} +(3.09160 - 3.43357i) q^{61} +(17.9786 + 13.0622i) q^{62} +(2.80039 - 3.20420i) q^{63} +(-3.84663 + 11.8387i) q^{64} +(0.665272 + 1.15229i) q^{65} +(-2.87850 - 13.0658i) q^{66} +(-4.98385 + 8.63229i) q^{67} +(-14.3072 - 15.8897i) q^{68} +(5.77972 - 5.28200i) q^{69} +(-0.109476 + 1.04159i) q^{70} +(0.905630 + 2.78724i) q^{71} +(-9.95016 + 0.147169i) q^{72} +(-3.43158 - 2.49319i) q^{73} +(1.80317 + 0.802823i) q^{74} +(-6.34828 - 5.63157i) q^{75} +(-5.30392 + 9.18665i) q^{76} +(4.60179 - 0.978190i) q^{77} +(-10.0526 - 13.6232i) q^{78} +(3.30808 - 0.703155i) q^{79} +(0.224926 - 0.163418i) q^{80} +(3.03308 + 8.47351i) q^{81} +(-2.78496 - 8.57123i) q^{82} +(-9.02488 + 10.0231i) q^{83} +(-0.0622120 - 8.41282i) q^{84} +(-0.206918 - 1.96870i) q^{85} +(5.53705 + 6.14951i) q^{86} +(-2.02873 + 4.64883i) q^{87} +(-8.90048 - 6.46644i) q^{88} +2.69745 q^{89} +(-1.81105 - 1.27531i) q^{90} +(4.81645 - 3.49936i) q^{91} +(1.61803 - 15.3945i) q^{92} +(-6.83352 - 15.0479i) q^{93} +(16.9742 + 3.60797i) q^{94} +(-0.897177 + 0.399449i) q^{95} +(5.87070 - 5.36514i) q^{96} +(5.14256 - 1.09308i) q^{97} -11.6168 q^{98} +(-2.93430 + 9.50736i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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