LMFDB - Embedded newform 99.2.m.b.16.1

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			16.1
Character	$\chi$	$=$	99.16
Dual form			99.2.m.b.31.1

$q$-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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{2}{3}\right)$

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	−0.687459	−	0.726223i	$-0.741274\pi$
$2$	−2.27811	−	0.484227i	−1.61087	−	0.342400i	−0.923407	+	0.383823i	$0.874607\pi$
$3$	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	−0.138050	−	0.990425i	$-0.544083\pi$
$5$	0.310092	−	0.0659121i	0.138677	−	0.0294768i	0.276727	+	0.960948i	$0.410750\pi$
$6$	−4.01486	+	0.391985i	−1.63906	+	0.160027i
$7$	0.148273	+	1.41072i	0.0560419	+	0.533203i	0.986143	+	0.165899i	$0.0530525\pi$
$7$	0.148273	+	1.41072i	0.0560419	+	0.533203i	−0.930101	+	0.367304i	$0.880281\pi$
$8$	−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	−0.214854	−	0.976646i	$-0.568928\pi$
$13$	2.80837	−	3.11901i	0.778901	−	0.865057i	0.993754	+	0.111590i	$0.0355942\pi$
$14$	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	0.387195	+	0.921998i	$0.373444\pi$
$17$	−1.92957	+	5.93860i	−0.467989	+	1.44032i	−0.855184	+	0.518325i	$0.826556\pi$
$18$	−6.42428	+	2.74716i	−1.51422	+	0.647513i
$19$	−2.50622	−	1.82087i	−0.574966	−	0.417737i	0.261940	−	0.965084i	$-0.415638\pi$
$19$	−2.50622	−	1.82087i	−0.574966	−	0.417737i	−0.836906	+	0.547347i	$0.815638\pi$
$20$	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	0.999461	−	0.0328349i	$-0.0104536\pi$
$23$	2.26025	+	3.91487i	0.471295	+	0.816306i	−0.528166	+	0.849141i	$0.677120\pi$
$24$	−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	−0.985475	−	0.169819i	$-0.945682\pi$
$29$	−0.306106	−	2.91240i	−0.0568424	−	0.540820i	0.928633	−	0.371000i	$-0.120985\pi$
$30$	−1.21914	+	0.386179i	−0.222584	+	0.0705064i
$31$	−6.38469	+	7.09091i	−1.14672	+	1.27357i	−0.190253	+	0.981735i	$0.560931\pi$
$31$	−6.38469	+	7.09091i	−1.14672	+	1.27357i	−0.956470	+	0.291830i	$0.905736\pi$
$32$	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	−0.642716	−	0.766104i	$-0.722193\pi$
$37$	−0.685637	+	0.498145i	−0.112718	+	0.0818945i	0.529998	+	0.847999i	$0.322193\pi$
$38$	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	−0.916448	−	0.400153i	$-0.868957\pi$
$41$	0.404484	−	3.84841i	0.0631698	−	0.601021i	0.979618	−	0.200868i	$-0.0643763\pi$
$42$	−1.14828	−	5.60573i	−0.177183	−	0.864983i
$43$	−1.77651	+	3.07700i	−0.270915	+	0.469239i	−0.969096	−	0.246682i	$-0.920660\pi$
$43$	−1.77651	+	3.07700i	−0.270915	+	0.469239i	0.698181	+	0.715921i	$0.253993\pi$
$44$	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	−0.837878	−	0.545857i	$-0.816204\pi$
$47$	−6.80683	+	3.03059i	−0.992878	+	0.442058i	−0.154999	+	0.987915i	$0.549538\pi$
$48$	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	0.986793	+	0.161986i	$0.0517898\pi$
$53$	2.06517	+	6.35595i	0.283673	+	0.873057i	−0.703120	+	0.711071i	$0.748210\pi$
$54$	−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	−0.466592	−	0.884473i	$-0.654518\pi$
$59$	−11.0309	−	4.91125i	−1.43609	−	0.639391i	−0.969502	+	0.245082i	$0.921185\pi$
$60$	1.87134	−	0.182705i	0.241589	−	0.0235872i
$61$	3.09160	+	3.43357i	0.395838	+	0.439623i	0.907812	−	0.419378i	$-0.137752\pi$
$61$	3.09160	+	3.43357i	0.395838	+	0.439623i	−0.511973	+	0.859001i	$0.671085\pi$
$62$	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	−0.991426	−	0.130668i	$-0.958288\pi$
$67$	−4.98385	−	8.63229i	−0.608875	−	1.05460i	0.382552	−	0.923934i	$-0.375045\pi$
$68$	−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	−0.882826	−	0.469701i	$-0.844362\pi$
$71$	0.905630	−	2.78724i	0.107479	−	0.330785i	0.990304	+	0.138916i	$0.0443618\pi$
$72$	−9.95016	−	0.147169i	−1.17264	−	0.0173440i
$73$	−3.43158	+	2.49319i	−0.401636	+	0.291806i	−0.770207	−	0.637794i	$-0.779847\pi$
$73$	−3.43158	+	2.49319i	−0.401636	+	0.291806i	0.368571	+	0.929600i	$0.379847\pi$
$74$	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	0.390208	−	0.920727i	$-0.372403\pi$
$79$	3.30808	+	0.703155i	0.372188	+	0.0791111i	−0.0180200	+	0.999838i	$0.505736\pi$
$80$	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	−0.994968	−	0.100193i	$-0.968054\pi$
$83$	−9.02488	−	10.0231i	−0.990609	−	1.10018i	0.00435860	−	0.999991i	$-0.498613\pi$
$84$	−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	0.461443	−	0.887170i	$-0.347332\pi$
$97$	5.14256	+	1.09308i	0.522147	+	0.110986i	0.0607045	+	0.998156i	$0.480665\pi$
$98$	−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	0.646819	−	0.762643i	$-0.276099\pi$
$101$	9.32150	+	1.98135i	0.927524	+	0.197151i	0.280704	+	0.959794i	$0.409432\pi$
$102$	5.41911	−	24.5990i	0.536572	−	2.43567i
$103$	8.71123	+	3.87849i	0.858343	+	0.382159i	0.788231	−	0.615380i	$-0.210997\pi$
$103$	8.71123	+	3.87849i	0.858343	+	0.382159i	0.0701126	+	0.997539i	$0.477664\pi$
$104$	−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	0.366840	−	0.930284i	$-0.380440\pi$
$107$	−4.18472	−	3.04038i	−0.404552	−	0.293924i	−0.771393	+	0.636359i	$0.780440\pi$
$108$	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	−0.895246	−	0.445573i	$-0.853000\pi$
$113$	0.776815	−	7.39090i	0.0730766	−	0.695277i	0.968322	−	0.249704i	$-0.0803334\pi$
$114$	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	0.589715	+	0.807612i	$0.299240\pi$
$127$	−4.08040	+	12.5582i	−0.362077	+	1.11436i	−0.951791	+	0.306746i	$0.900760\pi$
$128$	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	0.980263	−	0.197697i	$-0.0633463\pi$
$131$	3.65021	+	6.32236i	0.318921	+	0.552387i	−0.661342	+	0.750084i	$0.730013\pi$
$132$	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	0.955114	−	0.296238i	$-0.0957321\pi$
$137$	6.56239	+	7.28827i	0.560662	+	0.622679i	−0.394452	+	0.918917i	$0.629065\pi$
$138$	−10.6092	−	14.8317i	−0.903111	−	1.26255i
$139$	−8.65757	−	3.85460i	−0.734326	−	0.326943i	0.00527735	−	0.999986i	$-0.498320\pi$
$139$	−8.65757	−	3.85460i	−0.734326	−	0.326943i	−0.739603	+	0.673043i	$0.764987\pi$
$140$	−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	−0.0395464	−	0.999218i	$-0.512591\pi$
$149$	4.03725	−	0.858145i	0.330745	−	0.0703020i	0.370291	+	0.928916i	$0.379258\pi$
$150$	17.1890	−	9.75532i	1.40348	−	0.796519i
$151$	−16.2385	+	7.22985i	−1.32147	+	0.588357i	−0.941616	−	0.336689i	$-0.890693\pi$
$151$	−16.2385	+	7.22985i	−1.32147	+	0.588357i	−0.379855	+	0.925046i	$0.624026\pi$
$152$	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	−0.982880	−	0.184246i	$-0.941016\pi$
$157$	0.210861	−	2.00621i	0.0168285	−	0.160113i	0.999709	+	0.0241329i	$0.00768247\pi$
$158$	−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	0.930107	−	0.367289i	$-0.119714\pi$
$163$	−0.488377	−	1.50307i	−0.0382526	−	0.117729i	−0.968359	+	0.249560i	$0.919714\pi$
$164$	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	−0.201817	−	0.979423i	$-0.564685\pi$
$167$	10.2522	−	11.3862i	0.793337	−	0.881090i	0.995154	+	0.0983335i	$0.0313512\pi$
$168$	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	−0.440694	−	0.897658i	$-0.645268\pi$
$173$	−0.900792	+	0.401058i	−0.0684859	+	0.0304919i	0.372208	+	0.928149i	$0.378601\pi$
$174$	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	0.872963	−	0.487787i	$-0.162196\pi$
$179$	9.08186	+	6.59836i	0.678810	+	0.493185i	−0.194153	+	0.980971i	$0.562196\pi$
$180$	2.99438	−	1.28046i	0.223188	−	0.0954400i
$181$	5.53932	−	17.0483i	0.411735	−	1.26719i	−0.503405	−	0.864051i	$-0.667919\pi$
$181$	5.53932	−	17.0483i	0.411735	−	1.26719i	0.915139	−	0.403138i	$-0.132081\pi$
$182$	−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	−0.928535	−	0.371245i	$-0.878931\pi$
$191$	−1.34716	−	12.8173i	−0.0974768	−	0.927430i	0.831058	−	0.556185i	$-0.187736\pi$
$192$	−12.5436	−	17.5360i	−0.905256	−	1.26555i
$193$	22.6451	−	4.81337i	1.63003	−	0.346474i	0.700054	−	0.714090i	$-0.253159\pi$
$193$	22.6451	−	4.81337i	1.63003	−	0.346474i	0.929978	+	0.367616i	$0.119826\pi$
$194$	−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	−0.981528	−	0.191319i	$-0.938724\pi$
$211$	−10.0034	+	11.1099i	−0.688660	+	0.764834i	0.292868	+	0.956153i	$0.405390\pi$
$212$	−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	−0.346969	−	0.937877i	$-0.612789\pi$
$223$	1.75974	−	0.783488i	0.117841	−	0.0524662i	0.464810	+	0.885410i	$0.346123\pi$
$224$	−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	0.898055	+	0.439884i	$0.144980\pi$
$227$	1.67361	+	15.9234i	0.111082	+	1.05687i	−0.786973	+	0.616988i	$0.788353\pi$
$228$	−13.5627	−	12.3948i	−0.898215	−	0.820864i
$229$	−0.349905	+	0.388609i	−0.0231224	+	0.0256800i	−0.754595	−	0.656191i	$-0.772167\pi$
$229$	−0.349905	+	0.388609i	−0.0231224	+	0.0256800i	0.731473	+	0.681871i	$0.238833\pi$
$230$	−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	−0.999599	−	0.0283260i	$-0.990982\pi$
$233$	−3.16820	−	9.75073i	−0.207556	−	0.638792i	0.792043	−	0.610466i	$-0.209018\pi$
$234$	−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	−0.912345	−	0.409423i	$-0.865730\pi$
$239$	1.00776	−	9.58823i	0.0651868	−	0.620211i	0.977532	−	0.210788i	$-0.0676031\pi$
$240$	0.456869	+	0.152190i	0.0294908	+	0.00982383i
$241$	0.139366	−	0.241388i	0.00897733	−	0.0155492i	−0.861502	−	0.507754i	$-0.830476\pi$
$241$	0.139366	−	0.241388i	0.00897733	−	0.0155492i	0.870479	+	0.492205i	$0.163809\pi$
$242$	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	0.984894	−	0.173159i	$-0.0553975\pi$
$251$	1.36753	+	4.20881i	0.0863175	+	0.265658i	−0.898576	+	0.438817i	$0.855398\pi$
$252$	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	0.508213	−	0.861231i	$-0.330306\pi$
$257$	3.33857	+	1.48643i	0.208254	+	0.0927209i	−0.299959	+	0.953952i	$0.596973\pi$
$258$	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	−0.552506	−	0.833509i	$-0.686328\pi$
$263$	7.22621	−	12.5162i	0.445587	−	0.771780i	0.998093	+	0.0617294i	$0.0196616\pi$
$264$	−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	−0.942039	−	0.335505i	$-0.891093\pi$
$269$	0.283600	−	0.872830i	0.0172914	−	0.0532174i	0.959330	+	0.282287i	$0.0910931\pi$
$270$	−2.32335	+	3.05303i	−0.141395	+	0.185801i
$271$	2.13921	−	1.55422i	0.129948	−	0.0944124i	−0.520913	−	0.853610i	$-0.674408\pi$
$271$	2.13921	−	1.55422i	0.129948	−	0.0944124i	0.650860	+	0.759197i	$0.274408\pi$
$272$	−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	−0.746262	−	0.665652i	$-0.768153\pi$
$277$	−28.2729	−	6.00958i	−1.69875	−	0.361081i	−0.952490	+	0.304571i	$0.901487\pi$
$278$	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	0.891921	−	0.452190i	$-0.149357\pi$
$281$	5.84992	+	6.49700i	0.348977	+	0.387578i	−0.542944	+	0.839769i	$0.682691\pi$
$282$	26.1405	−	14.8356i	1.55664	−	0.883446i
$283$	2.42686	−	23.0901i	0.144262	−	1.37256i	−0.647655	−	0.761934i	$-0.724250\pi$
$283$	2.42686	−	23.0901i	0.144262	−	1.37256i	0.791917	−	0.610629i	$-0.209083\pi$
$284$	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	−0.238276	−	0.971197i	$-0.576582\pi$
$293$	−19.1620	−	8.53146i	−1.11945	−	0.498413i	−0.881178	+	0.472784i	$0.843249\pi$
$294$	−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	0.750494	+	0.660877i	$0.229816\pi$
$311$	−2.13393	+	20.3030i	−0.121004	+	1.15128i	−0.871498	+	0.490399i	$0.836851\pi$
$312$	−20.9715	+	11.9020i	−1.18728	+	0.673817i
$313$	−22.7768	−	25.2962i	−1.28742	−	1.42982i	−0.846602	−	0.532226i	$-0.821356\pi$
$313$	−22.7768	−	25.2962i	−1.28742	−	1.42982i	−0.440816	−	0.897597i	$-0.645311\pi$
$314$	−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	0.885861	−	0.463951i	$-0.153569\pi$
$317$	26.8212	+	5.70102i	1.50643	+	0.320201i	0.620568	+	0.784152i	$0.286902\pi$
$318$	−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	−0.506048	−	0.862505i	$-0.668894\pi$
$331$	8.98622	−	15.5646i	0.493927	−	0.855507i	0.999976	+	0.00699827i	$0.00222764\pi$
$332$	−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	0.661158	−	0.750246i	$-0.270065\pi$
$337$	10.0236	+	4.46277i	0.546018	+	0.243103i	−0.115141	+	0.993349i	$0.536732\pi$
$338$	−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	−0.747587	−	0.664164i	$-0.768788\pi$
$347$	−21.6159	+	4.59460i	−1.16040	+	0.246651i	−0.412815	+	0.910815i	$0.635454\pi$
$348$	0.128435	−	17.3681i	0.00688485	−	0.931026i
$349$	−16.8126	+	7.48547i	−0.899960	+	0.400688i	−0.803953	−	0.594693i	$-0.797274\pi$
$349$	−16.8126	+	7.48547i	−0.899960	+	0.400688i	−0.0960068	+	0.995381i	$0.530607\pi$
$350$	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	−0.0288486	+	0.999584i	$0.509184\pi$
$353$	−16.5354	+	28.6401i	−0.880089	+	1.52436i	−0.851241	+	0.524776i	$0.824149\pi$
$354$	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	−0.649960	−	0.759968i	$-0.725215\pi$
$359$	−2.42595	+	1.76256i	−0.128037	+	0.0930242i	0.521924	+	0.852992i	$0.325215\pi$
$360$	−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	0.989050	−	0.147582i	$-0.0471491\pi$
$367$	−0.173774	−	1.65335i	−0.00907095	−	0.0863043i	−0.998121	+	0.0612779i	$0.980482\pi$
$368$	−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	0.997758	+	0.0669259i	$0.0213191\pi$
$373$	10.7543	+	18.6271i	0.556839	+	0.964473i	−0.440919	+	0.897547i	$0.645348\pi$
$374$	−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	−0.802811	−	0.596233i	$-0.796663\pi$
$379$	3.83779	−	11.8115i	0.197134	−	0.606715i	0.999945	−	0.0104822i	$-0.00333665\pi$
$380$	−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	−0.729319	−	0.684174i	$-0.760163\pi$
$383$	0.535088	−	0.594276i	0.0273417	−	0.0303661i	0.756661	+	0.653808i	$0.226830\pi$
$384$	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	0.998160	−	0.0606416i	$-0.0193147\pi$
$389$	0.181533	+	1.72717i	0.00920409	+	0.0875711i	−0.988956	+	0.148213i	$0.952648\pi$
$390$	−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	−0.707939	−	0.706273i	$-0.750375\pi$
$401$	−21.3748	+	4.54336i	−1.06741	+	0.226884i	−0.359468	+	0.933158i	$0.617042\pi$
$402$	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	−0.595414	−	0.803419i	$-0.703012\pi$
$409$	5.37631	−	5.97100i	0.265842	−	0.295247i	0.861256	+	0.508172i	$0.169679\pi$
$410$	−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	0.926250	−	0.376910i	$-0.123014\pi$
$419$	2.79840	+	4.84698i	0.136711	+	0.236790i	−0.789539	+	0.613701i	$0.789680\pi$
$420$	0.535215	+	2.61285i	0.0261158	+	0.127494i
$421$	34.5817	−	15.3968i	1.68541	−	0.750392i	0.685661	−	0.727921i	$-0.259513\pi$
$421$	34.5817	−	15.3968i	1.68541	−	0.750392i	0.999747	−	0.0224717i	$-0.00715355\pi$
$422$	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	−0.884299	−	0.466922i	$-0.845363\pi$
$431$	−9.20389	−	28.3267i	−0.443336	−	1.36445i	0.440963	−	0.897525i	$-0.354637\pi$
$432$	4.54147	−	0.375685i	0.218501	−	0.0180752i
$433$	0.225935	−	0.164152i	0.0108578	−	0.00788862i	−0.582343	−	0.812943i	$-0.697864\pi$
$433$	0.225935	−	0.164152i	0.0108578	−	0.00788862i	0.593201	+	0.805054i	$0.297864\pi$
$434$	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	−0.987605	−	0.156958i	$-0.949831\pi$
$439$	−7.49827	+	12.9874i	−0.357873	+	0.619854i	0.629732	+	0.776812i	$0.283165\pi$
$440$	−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	−0.0671719	−	0.997741i	$-0.521398\pi$
$443$	13.2462	−	5.89760i	0.629348	−	0.280204i	0.696520	+	0.717538i	$0.254731\pi$
$444$	−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	−0.977965	−	0.208767i	$-0.933055\pi$
$449$	−6.55787	−	20.1830i	−0.309485	−	0.952497i	0.668481	−	0.743730i	$-0.266945\pi$
$450$	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	0.690818	−	0.723028i	$-0.257250\pi$
$457$	−2.14758	−	2.38512i	−0.100459	−	0.111571i	−0.791278	+	0.611457i	$0.790584\pi$
$458$	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	0.377671	+	0.925940i	$0.376725\pi$
$461$	−13.1628	+	22.7986i	−0.613052	+	1.06184i	−0.990723	+	0.135897i	$0.956608\pi$
$462$	−18.8590	−	2.12347i	−0.877399	−	0.0987926i
$463$	−1.81412	−	3.14215i	−0.0843093	−	0.146028i	0.820787	−	0.571234i	$-0.193535\pi$
$463$	−1.81412	−	3.14215i	−0.0843093	−	0.146028i	−0.905097	+	0.425206i	$0.860202\pi$
$464$	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	0.727341	+	0.686276i	$0.240756\pi$
$467$	−5.71532	+	17.5899i	−0.264473	+	0.813965i	−0.991814	+	0.127689i	$0.959244\pi$
$468$	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	0.740740	−	0.671792i	$-0.234475\pi$
$479$	−0.105052	−	0.116672i	−0.00479996	−	0.00533090i	−0.745540	+	0.666461i	$0.767808\pi$
$480$	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	0.208525	−	0.978017i	$-0.433134\pi$
$487$	−14.5028	−	10.5369i	−0.657187	−	0.477474i	−0.865712	+	0.500543i	$0.833134\pi$
$488$	−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	0.265094	−	0.964223i	$-0.414597\pi$
$491$	−6.07322	−	2.70397i	−0.274081	−	0.122029i	−0.539175	+	0.842194i	$0.681264\pi$
$492$	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	0.958575	−	0.284842i	$-0.0919411\pi$
$499$	31.0124	+	13.8076i	1.38831	+	0.618114i	0.429733	+	0.902956i	$0.358608\pi$
$500$	−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	0.529761	−	0.848147i	$-0.322282\pi$
$503$	−2.53812	−	1.84405i	−0.113169	−	0.0822222i	−0.642930	+	0.765925i	$0.722282\pi$
$504$	−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	0.805348	+	0.592803i	$0.201979\pi$
$509$	−2.38361	+	22.6786i	−0.105652	+	1.00521i	−0.910999	+	0.412407i	$0.864688\pi$
$510$	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	−0.677219	−	0.735781i	$-0.736815\pi$
$521$	−4.26200	+	3.09653i	−0.186722	+	0.135661i	0.490497	+	0.871443i	$0.336815\pi$
$522$	9.96735	+	17.8692i	0.436259	+	0.782112i
$523$	3.67595	−	11.3134i	0.160738	−	0.494701i	−0.837959	−	0.545733i	$-0.816251\pi$
$523$	3.67595	−	11.3134i	0.160738	−	0.494701i	0.998697	+	0.0510325i	$0.0162512\pi$
$524$	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	0.734525	+	0.678581i	$0.237405\pi$
$541$	12.5401	+	38.5945i	0.539142	+	1.65931i	−0.195383	+	0.980727i	$0.562595\pi$
$542$	−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	0.108123	−	0.994138i	$-0.465516\pi$
$547$	21.4997	−	9.57226i	0.919259	−	0.409280i	0.811136	+	0.584857i	$0.198849\pi$
$548$	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	−0.474800	−	0.880093i	$-0.657480\pi$
$557$	5.08590	−	3.69513i	0.215497	−	0.156568i	0.690297	+	0.723526i	$0.257480\pi$
$558$	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	−0.933256	−	0.359211i	$-0.883046\pi$
$563$	−11.3527	+	12.6085i	−0.478461	+	0.531385i	0.454795	+	0.890596i	$0.349712\pi$
$564$	−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	0.0662831	−	0.997801i	$-0.478886\pi$
$569$	20.3268	−	9.05009i	0.852146	−	0.379400i	0.785863	+	0.618401i	$0.212219\pi$
$570$	3.75862	+	1.25205i	0.157431	+	0.0524427i
$571$	−17.6576	−	30.5838i	−0.738947	−	1.27989i	−0.952970	−	0.303065i	$-0.901990\pi$
$571$	−17.6576	−	30.5838i	−0.738947	−	1.27989i	0.214023	−	0.976829i	$-0.431343\pi$
$572$	−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	0.329859	+	0.944030i	$0.392999\pi$
$577$	−11.8156	+	36.3646i	−0.491889	+	1.51388i	−0.821749	+	0.569850i	$0.807001\pi$
$578$	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	0.988190	+	0.153233i	$0.0489685\pi$
$587$	1.29507	+	12.3218i	0.0534533	+	0.508574i	−0.934737	+	0.355341i	$0.884365\pi$
$588$	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	0.790417	−	0.612570i	$-0.209864\pi$
$599$	43.1155	−	9.16449i	1.76165	−	0.374451i	0.971236	+	0.238119i	$0.0765307\pi$
$600$	28.0161	−	2.73531i	1.14375	−	0.111669i
$601$	0.183062	+	1.74172i	0.00746727	+	0.0710463i	0.997621	−	0.0689386i	$-0.0219613\pi$
$601$	0.183062	+	1.74172i	0.00746727	+	0.0710463i	−0.990154	+	0.139985i	$0.955295\pi$
$602$	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	−0.872438	−	0.488724i	$-0.837462\pi$
$607$	−7.27288	+	8.07735i	−0.295197	+	0.327850i	0.577241	+	0.816574i	$0.304129\pi$
$608$	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	0.257821	−	0.966193i	$-0.416996\pi$
$613$	−14.3951	−	10.4586i	−0.581412	−	0.422421i	−0.839233	+	0.543772i	$0.816996\pi$
$614$	−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	0.823000	−	0.568042i	$-0.192299\pi$
$617$	−1.99805	−	3.46073i	−0.0804386	−	0.139324i	−0.903438	+	0.428718i	$0.858965\pi$
$618$	−36.4947	−	12.1569i	−1.46803	−	0.489023i
$619$	−10.0265	+	4.46409i	−0.403000	+	0.179427i	−0.598219	−	0.801333i	$-0.704125\pi$
$619$	−10.0265	+	4.46409i	−0.403000	+	0.179427i	0.195220	+	0.980760i	$0.437458\pi$
$620$	−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	−0.718289	−	0.695745i	$-0.755075\pi$
$631$	−6.99735	+	5.08388i	−0.278560	+	0.202386i	0.439729	+	0.898131i	$0.355075\pi$
$632$	−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	0.392193	−	0.919883i	$-0.371717\pi$
$641$	33.8812	−	15.0849i	1.33823	−	0.595817i	0.946035	+	0.324066i	$0.105050\pi$
$642$	17.9929	+	10.5663i	0.710121	+	0.417020i
$643$	39.8425	−	8.46878i	1.57123	−	0.333976i	0.661753	−	0.749722i	$-0.269813\pi$
$643$	39.8425	−	8.46878i	1.57123	−	0.333976i	0.909481	+	0.415746i	$0.136479\pi$
$644$	−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	0.947541	−	0.319634i	$-0.103560\pi$
$647$	−0.175813	−	0.541098i	−0.00691193	−	0.0212727i	−0.954453	+	0.298361i	$0.903560\pi$
$648$	−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	−0.368450	−	0.929648i	$-0.620111\pi$
$653$	−33.3696	−	14.8571i	−1.30585	−	0.581404i	−0.937404	+	0.348244i	$0.886778\pi$
$654$	−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	−0.531725	−	0.846917i	$-0.678456\pi$
$659$	12.0035	−	20.7907i	0.467590	−	0.809889i	0.999314	+	0.0370284i	$0.0117892\pi$
$660$	1.34168	−	6.09000i	0.0522248	−	0.237053i
$661$	−6.49165	−	11.2439i	−0.252496	−	0.437336i	0.711717	−	0.702467i	$-0.247918\pi$
$661$	−6.49165	−	11.2439i	−0.252496	−	0.437336i	−0.964212	+	0.265131i	$0.914585\pi$
$662$	−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	−0.124576	−	0.992210i	$-0.539757\pi$
$673$	−16.6536	−	3.53983i	−0.641949	−	0.136451i	−0.517374	+	0.855760i	$0.673090\pi$
$674$	−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	−0.999873	−	0.0159165i	$-0.994933\pi$
$677$	−23.7084	−	26.3308i	−0.911187	−	1.01198i	0.0886859	−	0.996060i	$-0.471733\pi$
$678$	−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	0.218924	−	0.975742i	$-0.429745\pi$
$691$	0.579665	+	0.123212i	0.0220515	+	0.00468719i	−0.196873	+	0.980429i	$0.563079\pi$
$692$	−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	0.904054	−	0.427419i	$-0.140577\pi$
$701$	20.5701	+	14.9451i	0.776922	+	0.564467i	−0.127131	+	0.991886i	$0.540577\pi$
$702$	−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	0.902414	−	0.430870i	$-0.141793\pi$
$709$	10.1070	+	11.2250i	0.379576	+	0.421562i	−0.522838	+	0.852432i	$0.675127\pi$
$710$	−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	−0.754446	−	0.656362i	$-0.772094\pi$
$719$	−9.74281	+	7.07857i	−0.363345	+	0.263986i	0.391101	+	0.920348i	$0.372094\pi$
$720$	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	−0.119714	+	0.992808i	$0.538198\pi$
$727$	−24.7966	+	42.9489i	−0.919654	+	1.59289i	−0.799940	+	0.600079i	$0.795136\pi$
$728$	−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	−0.217717	−	0.976012i	$-0.569861\pi$
$733$	−29.4759	−	13.1235i	−1.08872	−	0.484728i	−0.871000	+	0.491284i	$0.836528\pi$
$734$	−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	0.931672	−	0.363300i	$-0.118350\pi$
$739$	−0.968005	−	2.97921i	−0.0356086	−	0.109592i	−0.967281	+	0.253708i	$0.918350\pi$
$740$	−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	−0.345528	−	0.938409i	$-0.612300\pi$
$743$	−7.61856	+	1.61938i	−0.279498	+	0.0594091i	0.0660298	+	0.997818i	$0.478967\pi$
$744$	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	0.324938	+	0.945735i	$0.394656\pi$
$751$	−5.19392	+	49.4168i	−0.189529	+	1.80325i	−0.514467	+	0.857510i	$0.672010\pi$
$752$	−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	−0.980198	−	0.198018i	$-0.936549\pi$
$757$	−8.35296	−	25.7078i	−0.303594	−	0.934365i	0.676605	−	0.736346i	$-0.263451\pi$
$758$	−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	0.100707	−	0.994916i	$-0.467889\pi$
$761$	29.7834	−	33.0778i	1.07965	−	1.19907i	0.978939	−	0.204153i	$-0.0654439\pi$
$762$	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	0.894395	−	0.447277i	$-0.147606\pi$
$769$	1.65952	+	2.87438i	0.0598440	+	0.103653i	−0.834551	+	0.550930i	$0.814273\pi$
$770$	−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	0.0903152	−	0.995913i	$-0.471213\pi$
$773$	−23.0471	−	16.7447i	−0.828946	−	0.602264i	−0.919261	+	0.393649i	$0.871213\pi$
$774$	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	−0.429697	−	0.902973i	$-0.641379\pi$
$787$	−12.7636	+	2.71298i	−0.454972	+	0.0967072i	−0.0252751	+	0.999681i	$0.508046\pi$
$788$	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	−0.964556	−	0.263877i	$-0.914999\pi$
$797$	−49.0769	+	10.4316i	−1.73839	+	0.369507i	−0.773838	+	0.633384i	$0.781666\pi$
$798$	−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	0.556819	+	0.830634i	$0.312022\pi$
$809$	−10.8621	+	33.4301i	−0.381892	+	1.17534i	−0.938710	+	0.344707i	$0.887978\pi$
$810$	−2.23945	+	6.25633i	−0.0786861	+	0.219825i
$811$	−17.8837	−	12.9933i	−0.627981	−	0.456255i	0.227719	−	0.973727i	$-0.426873\pi$
$811$	−17.8837	−	12.9933i	−0.627981	−	0.456255i	−0.855700	+	0.517472i	$0.826873\pi$
$812$	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	0.988919	−	0.148458i	$-0.0474309\pi$
$821$	−0.265209	−	2.52330i	−0.00925587	−	0.0880637i	−0.998175	+	0.0603941i	$0.980764\pi$
$822$	−29.2039	−	26.6890i	−1.01860	−	0.930886i
$823$	−6.94069	+	7.70841i	−0.241937	+	0.268698i	−0.851868	−	0.523756i	$-0.824530\pi$
$823$	−6.94069	+	7.70841i	−0.241937	+	0.268698i	0.609931	+	0.792454i	$0.291197\pi$
$824$	−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	0.663314	+	0.748341i	$0.269149\pi$
$827$	16.2925	+	50.1431i	0.566546	+	1.74365i	−0.0967683	+	0.995307i	$0.530851\pi$
$828$	30.5593	+	34.9659i	1.06201	+	1.21515i
$829$	−30.6163	+	22.2440i	−1.06335	+	0.772566i	−0.974705	−	0.223497i	$-0.928253\pi$
$829$	−30.6163	+	22.2440i	−1.06335	+	0.772566i	−0.0886419	+	0.996064i	$0.528253\pi$
$830$	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	−0.698642	−	0.715471i	$-0.746212\pi$
$839$	−18.3765	+	8.18173i	−0.634426	+	0.282465i	0.0642158	+	0.997936i	$0.479545\pi$
$840$	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	0.838505	−	0.544894i	$-0.183430\pi$
$853$	6.10260	+	6.77762i	0.208949	+	0.232061i	−0.629556	+	0.776955i	$0.716763\pi$
$854$	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	−0.849836	−	0.527047i	$-0.823299\pi$
$857$	0.922678	−	1.59813i	0.0315181	−	0.0545909i	0.881354	+	0.472456i	$0.156632\pi$
$858$	32.6683	+	45.6715i	1.11528	+	1.55920i
$859$	−14.2555	−	24.6913i	−0.486392	−	0.842456i	0.513485	−	0.858098i	$-0.328354\pi$
$859$	−14.2555	−	24.6913i	−0.486392	−	0.842456i	−0.999878	+	0.0156422i	$0.995021\pi$
$860$	−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	−0.991428	−	0.130658i	$-0.958291\pi$
$863$	−3.30628	+	10.1757i	−0.112547	+	0.346385i	0.878880	+	0.477042i	$0.158291\pi$
$864$	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	0.648347	+	0.761345i	$0.275461\pi$
$877$	−4.26813	+	40.6086i	−0.144125	+	1.37125i	−0.792472	+	0.609909i	$0.791206\pi$
$878$	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	0.400880	−	0.916130i	$-0.368704\pi$
$883$	−10.2973	−	7.48145i	−0.346533	−	0.251771i	−0.747413	+	0.664360i	$0.768704\pi$
$884$	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	0.564578	−	0.825380i	$-0.309039\pi$
$887$	9.79776	+	4.36224i	0.328977	+	0.146470i	−0.235601	+	0.971850i	$0.575706\pi$
$888$	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	0.577807	−	0.816173i	$-0.303908\pi$
$907$	−8.86302	−	9.84338i	−0.294292	−	0.326844i	−0.872099	+	0.489329i	$0.837242\pi$
$908$	−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	0.992840	−	0.119451i	$-0.0381134\pi$
$911$	55.8762	+	11.8768i	1.85126	+	0.393497i	0.858420	+	0.512948i	$0.171447\pi$
$912$	−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	−0.830320	−	0.557287i	$-0.811842\pi$
$919$	5.12287	−	15.7666i	0.168988	−	0.520091i	0.999308	+	0.0371955i	$0.0118424\pi$
$920$	−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	0.656872	−	0.754002i	$-0.271879\pi$
$929$	−4.92734	−	5.47236i	−0.161661	−	0.179542i	−0.818533	+	0.574459i	$0.805212\pi$
$930$	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	0.843147	+	0.537684i	$0.180701\pi$
$937$	14.6033	+	44.9444i	0.477069	+	1.46827i	−0.366077	+	0.930584i	$0.619299\pi$
$938$	−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	0.810937	−	0.585134i	$-0.198958\pi$
$941$	54.9022	−	11.6698i	1.78976	−	0.380425i	0.978823	+	0.204709i	$0.0656248\pi$
$942$	−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	−0.743254	−	0.669009i	$-0.766719\pi$
$947$	6.39323	−	11.0734i	0.207752	−	0.359837i	0.951006	+	0.309172i	$0.100052\pi$
$948$	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	−0.239060	−	0.971005i	$-0.576839\pi$
$953$	18.8480	−	13.6939i	0.610547	−	0.443588i	0.849607	+	0.527417i	$0.176839\pi$
$954$	−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	0.836677	+	0.547696i	$0.184495\pi$
$967$	27.7586	+	48.0794i	0.892657	+	1.54613i	0.0559798	+	0.998432i	$0.482172\pi$
$968$	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	0.644916	−	0.764253i	$-0.276892\pi$
$971$	3.65698	+	2.65695i	0.117358	+	0.0852656i	−0.527558	+	0.849519i	$0.676892\pi$
$972$	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	−0.959453	−	0.281867i	$-0.909046\pi$
$977$	−18.0928	+	20.0941i	−0.578840	+	0.642867i	0.380613	+	0.924734i	$0.375713\pi$
$978$	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	−0.997839	−	0.0657006i	$-0.979072\pi$
$983$	−1.11193	−	10.5793i	−0.0354651	−	0.337428i	0.962374	−	0.271727i	$-0.0875949\pi$
$984$	−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	0.948658	+	0.316303i	$0.102442\pi$
$997$	2.73106	+	25.9843i	0.0864935	+	0.822931i	−0.862165	+	0.506628i	$0.830892\pi$
$998$	−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.16.1	✓	72
3.2	odd	2		297.2.n.b.181.9		72
9.2	odd	6		891.2.f.e.82.1		36
9.4	even	3	inner	99.2.m.b.49.9	yes	72
9.5	odd	6		297.2.n.b.280.1		72
9.7	even	3		891.2.f.f.82.9		36
11.3	even	5		1089.2.e.p.727.1		36
11.8	odd	10		1089.2.e.o.727.18		36
11.9	even	5	inner	99.2.m.b.97.9	yes	72
33.20	odd	10		297.2.n.b.262.1		72
99.20	odd	30		891.2.f.e.163.1		36
99.25	even	15		9801.2.a.cm.1.18		18
99.31	even	15	inner	99.2.m.b.31.1	yes	72
99.47	odd	30		9801.2.a.cp.1.1		18
99.52	odd	30		9801.2.a.co.1.1		18
99.58	even	15		1089.2.e.p.364.1		36
99.74	even	30		9801.2.a.cn.1.18		18
99.85	odd	30		1089.2.e.o.364.18		36
99.86	odd	30		297.2.n.b.64.9		72
99.97	even	15		891.2.f.f.163.9		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.1	✓	72	1.1	even	1	trivial
99.2.m.b.31.1	yes	72	99.31	even	15	inner
99.2.m.b.49.9	yes	72	9.4	even	3	inner
99.2.m.b.97.9	yes	72	11.9	even	5	inner
297.2.n.b.64.9		72	99.86	odd	30
297.2.n.b.181.9		72	3.2	odd	2
297.2.n.b.262.1		72	33.20	odd	10
297.2.n.b.280.1		72	9.5	odd	6
891.2.f.e.82.1		36	9.2	odd	6
891.2.f.e.163.1		36	99.20	odd	30
891.2.f.f.82.9		36	9.7	even	3
891.2.f.f.163.9		36	99.97	even	15
1089.2.e.o.364.18		36	99.85	odd	30
1089.2.e.o.727.18		36	11.8	odd	10
1089.2.e.p.364.1		36	99.58	even	15
1089.2.e.p.727.1		36	11.3	even	5
9801.2.a.cm.1.18		18	99.25	even	15
9801.2.a.cn.1.18		18	99.74	even	30
9801.2.a.co.1.1		18	99.52	odd	30
9801.2.a.cp.1.1		18	99.47	odd	30

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.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

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