LMFDB - Embedded newform 99.2.m.b.49.9

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			49.9
Character	$\chi$	$=$	99.49
Dual form			99.2.m.b.97.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.55841 - 1.73079i) q^{2} +(0.0128080 + 1.73200i) q^{3} +(-0.357932 - 3.40549i) q^{4} +(-0.212128 - 0.235592i) q^{5} +(3.01769 + 2.67700i) q^{6} +(-1.29586 - 0.576953i) q^{7} +(-2.68358 - 1.94973i) q^{8} +(-2.99967 + 0.0443670i) q^{9} -0.738340 q^{10} +(2.21923 + 2.46476i) q^{11} +(5.89374 - 0.663556i) q^{12} +(-4.10532 - 0.872613i) q^{13} +(-3.01805 + 1.34372i) q^{14} +(0.405329 - 0.370423i) q^{15} +(-0.857827 + 0.182337i) q^{16} +(-1.92957 + 5.93860i) q^{17} +(-4.59792 + 5.26093i) q^{18} +(-2.50622 - 1.82087i) q^{19} +(-0.726379 + 0.806725i) q^{20} +(0.982687 - 2.25182i) q^{21} +(7.72443 + 7.98214e-5i) q^{22} +(2.26025 - 3.91487i) q^{23} +(3.34257 - 4.67294i) q^{24} +(0.512137 - 4.87266i) q^{25} +(-7.90807 + 5.74555i) q^{26} +(-0.115264 - 5.19487i) q^{27} +(-1.50098 + 4.61954i) q^{28} +(2.67527 + 1.19111i) q^{29} +(-0.00945666 - 1.27881i) q^{30} +(9.33325 + 1.98384i) q^{31} +(2.29583 - 3.97649i) q^{32} +(-4.24054 + 3.87528i) q^{33} +(7.27140 + 12.5944i) q^{34} +(0.138962 + 0.427681i) q^{35} +(1.22477 + 10.1995i) q^{36} +(-0.685637 + 0.498145i) q^{37} +(-7.05725 + 1.50006i) q^{38} +(1.45879 - 7.12161i) q^{39} +(0.109920 + 1.04582i) q^{40} +(-3.53506 + 1.57391i) q^{41} +(-2.36599 - 5.21007i) 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} +(0.778841 - 7.41018i) q^{47} +(-0.326795 - 1.48342i) q^{48} +(-3.33754 - 3.70672i) q^{49} +(-7.63541 - 8.47998i) q^{50} +(-10.3104 - 3.26596i) q^{51} +(-1.50225 + 14.2930i) 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} +(3.12166 - 4.36410i) q^{57} +(6.23070 - 2.77409i) q^{58} +(1.26216 + 12.0086i) q^{59} +(-1.40655 - 1.24776i) q^{60} +(-4.51935 + 0.960618i) q^{61} +(17.9786 - 13.0622i) q^{62} +(3.91274 + 1.67318i) q^{63} +(-3.84663 - 11.8387i) q^{64} +(0.665272 + 1.15229i) q^{65} +(0.0987962 + 13.3787i) q^{66} +(-4.98385 + 8.63229i) q^{67} +(20.9145 + 4.44552i) q^{68} +(6.80951 + 3.86462i) q^{69} +(0.956783 + 0.425987i) q^{70} +(0.905630 - 2.78724i) q^{71} +(8.13635 + 5.72949i) q^{72} +(-3.43158 + 2.49319i) q^{73} +(-0.206320 + 1.96300i) q^{74} +(8.44602 + 0.824614i) q^{75} +(-5.30392 + 9.18665i) q^{76} +(-1.45376 - 4.47436i) q^{77} +(-10.0526 - 13.6232i) q^{78} +(-2.26299 + 2.51331i) q^{79} +(0.224926 + 0.163418i) q^{80} +(8.99606 - 0.266173i) q^{81} +(-2.78496 + 8.57123i) q^{82} +(13.1927 - 2.80420i) q^{83} +(-8.02029 - 2.54054i) q^{84} +(1.80840 - 0.805152i) q^{85} +(-8.09416 - 1.72047i) q^{86} +(-2.02873 + 4.64883i) q^{87} +(-1.14986 - 10.9413i) q^{88} +2.69745 q^{89} +(2.21478 - 0.0327579i) q^{90} +(4.81645 + 3.49936i) q^{91} +(-14.1411 - 6.29601i) q^{92} +(-3.31648 + 16.1906i) q^{93} +(-11.6117 - 12.8961i) q^{94} +(0.102656 + 0.976702i) q^{95} +(6.91669 + 3.92545i) q^{96} +(-3.51792 + 3.90704i) q^{97} -11.6168 q^{98} +(-6.76631 - 7.29500i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	1.55841	−	1.73079i	1.10196	−	1.22385i	0.129303	−	0.991605i	$-0.458726\pi$
$2$	1.55841	−	1.73079i	1.10196	−	1.22385i	0.972657	−	0.232245i	$-0.0746072\pi$
$3$	0.0128080	+	1.73200i	0.00739470	+	0.999973i
$3$	0.0128080	+	1.73200i	0.00739470	+	0.999973i
$4$	−0.357932	−	3.40549i	−0.178966	−	1.70275i
$5$	−0.212128	−	0.235592i	−0.0948664	−	0.105360i	0.693842	−	0.720127i	$-0.255917\pi$
$5$	−0.212128	−	0.235592i	−0.0948664	−	0.105360i	−0.788708	+	0.614767i	$0.789250\pi$
$6$	3.01769	+	2.67700i	1.23197	+	1.09288i
$7$	−1.29586	−	0.576953i	−0.489788	−	0.218068i	0.146956	−	0.989143i	$-0.453052\pi$
$7$	−1.29586	−	0.576953i	−0.489788	−	0.218068i	−0.636744	+	0.771075i	$0.719719\pi$
$8$	−2.68358	−	1.94973i	−0.948787	−	0.689334i
$9$	−2.99967	+	0.0443670i	−0.999891	+	0.0147890i
$10$	−0.738340			−0.233484
$11$	2.21923	+	2.46476i	0.669123	+	0.743152i
$11$	2.21923	+	2.46476i	0.669123	+	0.743152i
$12$	5.89374	−	0.663556i	1.70138	−	0.191552i
$13$	−4.10532	−	0.872613i	−1.13861	−	0.242019i	−0.400238	−	0.916411i	$-0.631072\pi$
$13$	−4.10532	−	0.872613i	−1.13861	−	0.242019i	−0.738373	+	0.674392i	$0.764406\pi$
$14$	−3.01805	+	1.34372i	−0.806609	+	0.359125i
$15$	0.405329	−	0.370423i	0.104655	−	0.0956429i
$16$	−0.857827	+	0.182337i	−0.214457	+	0.0455842i
$17$	−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	$0.826556\pi$
$18$	−4.59792	+	5.26093i	−1.08374	+	1.24001i
$19$	−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	$0.815638\pi$
$20$	−0.726379	+	0.806725i	−0.162423	+	0.180389i
$21$	0.982687	−	2.25182i	0.214440	−	0.491387i
$22$	7.72443		7.98214e-5i	1.64685		1.70180e-5i
$23$	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	$0.0104536\pi$
$24$	3.34257	−	4.67294i	0.682300	−	0.953859i
$25$	0.512137	−	4.87266i	0.102427	−	0.974532i
$26$	−7.90807	+	5.74555i	−1.55090	+	1.12679i
$27$	−0.115264	−	5.19487i	−0.0221825	−	0.999754i
$28$	−1.50098	+	4.61954i	−0.283659	+	0.873011i
$29$	2.67527	+	1.19111i	0.496785	+	0.221183i	0.639805	−	0.768537i	$-0.279015\pi$
$29$	2.67527	+	1.19111i	0.496785	+	0.221183i	−0.143021	+	0.989720i	$0.545682\pi$
$30$	−0.00945666	−	1.27881i	−0.00172654	−	0.233477i
$31$	9.33325	+	1.98384i	1.67630	+	0.356309i	0.945334	−	0.326103i	$-0.105736\pi$
$31$	9.33325	+	1.98384i	1.67630	+	0.356309i	0.730967	+	0.682412i	$0.239069\pi$
$32$	2.29583	−	3.97649i	0.405848	−	0.702950i
$33$	−4.24054	+	3.87528i	−0.738183	+	0.674600i
$34$	7.27140	+	12.5944i	1.24703	+	2.15993i
$35$	0.138962	+	0.427681i	0.0234889	+	0.0722913i
$36$	1.22477	+	10.1995i	0.204128	+	1.69991i
$37$	−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	$0.322193\pi$
$38$	−7.05725	+	1.50006i	−1.14484	+	0.243343i
$39$	1.45879	−	7.12161i	0.233593	−	1.14037i
$40$	0.109920	+	1.04582i	0.0173799	+	0.165359i
$41$	−3.53506	+	1.57391i	−0.552084	+	0.245804i	−0.663766	−	0.747940i	$-0.731043\pi$
$41$	−3.53506	+	1.57391i	−0.552084	+	0.245804i	0.111682	+	0.993744i	$0.464376\pi$
$42$	−2.36599	−	5.21007i	−0.365080	−	0.803931i
$43$	−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
$47$	0.778841	−	7.41018i	0.113606	−	1.08089i	−0.778059	−	0.628191i	$-0.783796\pi$
$47$	0.778841	−	7.41018i	0.113606	−	1.08089i	0.891665	−	0.452695i	$-0.149538\pi$
$48$	−0.326795	−	1.48342i	−0.0471688	−	0.214114i
$49$	−3.33754	−	3.70672i	−0.476792	−	0.529531i
$50$	−7.63541	−	8.47998i	−1.07981	−	1.19925i
$51$	−10.3104	−	3.26596i	−1.44374	−	0.457326i
$52$	−1.50225	+	14.2930i	−0.208325	+	1.98208i
$53$	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
$57$	3.12166	−	4.36410i	0.413474	−	0.578039i
$58$	6.23070	−	2.77409i	0.818132	−	0.364256i
$59$	1.26216	+	12.0086i	0.164319	+	1.56339i	0.696998	+	0.717073i	$0.254518\pi$
$59$	1.26216	+	12.0086i	0.164319	+	1.56339i	−0.532680	+	0.846317i	$0.678815\pi$
$60$	−1.40655	−	1.24776i	−0.181585	−	0.161085i
$61$	−4.51935	+	0.960618i	−0.578644	+	0.122995i	−0.487931	−	0.872882i	$-0.662248\pi$
$61$	−4.51935	+	0.960618i	−0.578644	+	0.122995i	−0.0907135	+	0.995877i	$0.528915\pi$
$62$	17.9786	−	13.0622i	2.28329	−	1.65890i
$63$	3.91274	+	1.67318i	0.492960	+	0.210800i
$64$	−3.84663	−	11.8387i	−0.480828	−	1.47984i
$65$	0.665272	+	1.15229i	0.0825169	+	0.142923i
$66$	0.0987962	+	13.3787i	0.0121610	+	1.64681i
$67$	−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	$0.958288\pi$
$68$	20.9145	+	4.44552i	2.53626	+	0.539098i
$69$	6.80951	+	3.86462i	0.819769	+	0.465245i
$70$	0.956783	+	0.425987i	0.114357	+	0.0509152i
$71$	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	$0.0443618\pi$
$72$	8.13635	+	5.72949i	0.958878	+	0.675227i
$73$	−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	$0.379847\pi$
$74$	−0.206320	+	1.96300i	−0.0239842	+	0.228195i
$75$	8.44602	+	0.824614i	0.975262	+	0.0952182i
$76$	−5.30392	+	9.18665i	−0.608401	+	1.05378i
$77$	−1.45376	−	4.47436i	−0.165671	−	0.509901i
$78$	−10.0526	−	13.6232i	−1.13823	−	1.54252i
$79$	−2.26299	+	2.51331i	−0.254606	+	0.282769i	−0.856875	−	0.515525i	$-0.827597\pi$
$79$	−2.26299	+	2.51331i	−0.254606	+	0.282769i	0.602268	+	0.798294i	$0.294264\pi$
$80$	0.224926	+	0.163418i	0.0251475	+	0.0182707i
$81$	8.99606	−	0.266173i	0.999563	−	0.0295748i
$82$	−2.78496	+	8.57123i	−0.307548	+	0.946534i
$83$	13.1927	−	2.80420i	1.44809	−	0.307801i	0.584253	−	0.811571i	$-0.301387\pi$
$83$	13.1927	−	2.80420i	1.44809	−	0.307801i	0.863838	+	0.503770i	$0.168054\pi$
$84$	−8.02029	−	2.54054i	−0.875085	−	0.277195i
$85$	1.80840	−	0.805152i	0.196149	−	0.0873310i
$86$	−8.09416	−	1.72047i	−0.872815	−	0.185523i
$87$	−2.02873	+	4.64883i	−0.217503	+	0.498407i
$88$	−1.14986	−	10.9413i	−0.122575	−	1.16634i
$89$	2.69745			0.285929			0.142965	−	0.989728i	$-0.454336\pi$
$89$	2.69745			0.285929			0.142965	+	0.989728i	$0.454336\pi$
$90$	2.21478	−	0.0327579i	0.233458	−	0.00345299i
$91$	4.81645	+	3.49936i	0.504902	+	0.366833i
$92$	−14.1411	−	6.29601i	−1.47431	−	0.656404i
$93$	−3.31648	+	16.1906i	−0.343903	+	1.67889i
$94$	−11.6117	−	12.8961i	−1.19765	−	1.33013i
$95$	0.102656	+	0.976702i	0.0105322	+	0.100208i
$96$	6.91669	+	3.92545i	0.705932	+	0.400639i
$97$	−3.51792	+	3.90704i	−0.357190	+	0.396700i	−0.894781	−	0.446506i	$-0.852668\pi$
$97$	−3.51792	+	3.90704i	−0.357190	+	0.396700i	0.537590	+	0.843206i	$0.319335\pi$
$98$	−11.6168			−1.17347
$99$	−6.76631	−	7.29500i	−0.680040	−	0.733175i
$100$	−16.7771			−1.67771
$101$	−6.37664	+	7.08198i	−0.634500	+	0.704683i	−0.971558	−	0.236800i	$-0.923901\pi$
$101$	−6.37664	+	7.08198i	−0.634500	+	0.704683i	0.337059	+	0.941484i	$0.390568\pi$
$102$	−21.7205	+	12.7554i	−2.15065	+	1.26297i
$103$	−0.996745	−	9.48339i	−0.0982122	−	0.934426i	−0.927050	−	0.374938i	$-0.877664\pi$
$103$	−0.996745	−	9.48339i	−0.0982122	−	0.934426i	0.828838	−	0.559489i	$-0.189003\pi$
$104$	9.31558	+	10.3460i	0.913468	+	1.01451i
$105$	−0.738965	+	0.246160i	−0.0721156	+	0.0240228i
$106$	14.2192	+	6.33078i	1.38109	+	0.614900i
$107$	−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	$0.780440\pi$
$108$	−17.6498	+	2.25194i	−1.69836	+	0.216693i
$109$	14.4767			1.38661			0.693307	−	0.720643i	$-0.256153\pi$
$109$	14.4767			1.38661			0.693307	+	0.720643i	$0.256153\pi$
$110$	−1.63855	−	1.81983i	−0.156229	−	0.173514i
$111$	−0.871570	−	1.18115i	−0.0827258	−	0.112109i
$112$	1.21682	+	0.258643i	0.114979	+	0.0244395i
$113$	−6.78911	+	3.02271i	−0.638666	+	0.284352i	−0.700411	−	0.713740i	$-0.747000\pi$
$113$	−6.78911	+	3.02271i	−0.638666	+	0.284352i	0.0617453	+	0.998092i	$0.480333\pi$
$114$	−2.68851	−	12.2040i	−0.251802	−	1.14301i
$115$	−1.40177	+	0.297956i	−0.130716	+	0.0277845i
$116$	3.09874	−	9.53694i	0.287711	−	0.885482i
$117$	12.3533	+	2.43541i	1.14207	+	0.225154i
$118$	22.7513	+	16.5298i	2.09443	+	1.52169i
$119$	5.92674	−	6.58231i	0.543303	−	0.603400i
$120$	−1.80996	+	0.203777i	−0.165226	+	0.0186022i
$121$	−1.15004	+	10.9397i	−0.104549	+	0.994520i
$122$	−5.38037	+	9.31907i	−0.487116	+	0.843709i
$123$	−2.77130	−	6.10258i	−0.249880	−	0.550251i
$124$	3.41530	−	32.4944i	0.306703	−	2.91808i
$125$	−2.53897	+	1.84467i	−0.227092	+	0.164992i
$126$	8.99356	−	4.16463i	0.801210	−	0.371015i
$127$	−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	$0.900760\pi$
$128$	−18.0955	−	8.05664i	−1.59943	−	0.712113i
$129$	5.30663	−	3.11633i	0.467222	−	0.274377i
$130$	3.03112	+	0.644285i	0.265847	+	0.0565075i
$131$	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	$0.0633463\pi$
$132$	14.7151	+	13.0540i	1.28078	+	1.13621i
$133$	2.19714	+	3.80556i	0.190516	+	0.329984i
$134$	7.17377	+	22.0786i	0.619719	+	1.90730i
$135$	−1.19942	+	1.12913i	−0.103230	+	0.0971802i
$136$	16.7568	−	12.1746i	1.43689	−	1.04396i
$137$	−9.59302	+	2.03906i	−0.819587	+	0.174209i	−0.598579	−	0.801064i	$-0.704268\pi$
$137$	−9.59302	+	2.03906i	−0.819587	+	0.174209i	−0.221008	+	0.975272i	$0.570935\pi$
$138$	17.3008	−	5.76316i	1.47274	−	0.490593i
$139$	0.990605	+	9.42498i	0.0840220	+	0.799416i	0.952674	+	0.303994i	$0.0983202\pi$
$139$	0.990605	+	9.42498i	0.0840220	+	0.799416i	−0.868652	+	0.495423i	$0.835013\pi$
$140$	1.40673	−	0.626314i	0.118890	−	0.0529332i
$141$	12.8444	+	1.25405i	1.08170	+	0.105610i
$142$	−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
$146$	−1.03262	+	9.82474i	−0.0854604	+	0.813101i
$147$	6.37730	−	5.82811i	0.525991	−	0.480694i
$148$	1.94184	+	2.15663i	0.159618	+	0.177274i
$149$	−2.76180	−	3.06729i	−0.226256	−	0.251282i	0.619319	−	0.785139i	$-0.287409\pi$
$149$	−2.76180	−	3.06729i	−0.226256	−	0.251282i	−0.845575	+	0.533857i	$0.820742\pi$
$150$	14.5896	−	13.3332i	1.19123	−	1.08865i
$151$	1.85802	−	17.6779i	0.151204	−	1.43861i	−0.611186	−	0.791487i	$-0.709307\pi$
$151$	1.85802	−	17.6779i	0.151204	−	1.43861i	0.762389	−	0.647119i	$-0.224026\pi$
$152$	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
$156$	−24.7747	−	2.41884i	−1.98357	−	0.193662i
$157$	−1.84286	+	0.820493i	−0.147076	+	0.0654825i	−0.478955	−	0.877840i	$-0.658984\pi$
$157$	−1.84286	+	0.820493i	−0.147076	+	0.0654825i	0.331879	+	0.943322i	$0.392318\pi$
$158$	0.823335	+	7.83351i	0.0655010	+	0.623200i
$159$	−10.9821	+	3.65830i	−0.870935	+	0.290122i
$160$	−1.42384	+	0.302646i	−0.112564	+	0.0239262i
$161$	−5.18765	+	3.76905i	−0.408844	+	0.297043i
$162$	13.5588	−	15.9851i	1.06528	−	1.25591i
$163$	−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
$165$	1.81252	+	0.176982i	0.141105	+	0.0137780i
$166$	15.7062	−	27.2039i	1.21904	−	2.11143i
$167$	−14.9868	−	3.18555i	−1.15971	−	0.246505i	−0.412417	−	0.910995i	$-0.635315\pi$
$167$	−14.9868	−	3.18555i	−1.15971	−	0.246505i	−0.747297	+	0.664490i	$0.768649\pi$
$168$	−7.02756	+	4.12695i	−0.542188	+	0.318401i
$169$	4.21612	+	1.87714i	0.324317	+	0.144395i
$170$	1.42468	−	4.38471i	0.109268	−	0.336292i
$171$	7.59862	+	5.35083i	0.581081	+	0.409188i
$172$	−9.84284	+	7.15124i	−0.750510	+	0.545277i
$173$	0.103069	−	0.980638i	0.00783620	−	0.0745565i	−0.989905	−	0.141733i	$-0.954732\pi$
$173$	0.103069	−	0.980638i	0.00783620	−	0.0745565i	0.997741	+	0.0671768i	$0.0213991\pi$
$174$	4.88453	+	10.7561i	0.370295	+	0.815416i
$175$	−3.47495	+	6.01879i	−0.262682	+	0.454978i
$176$	−2.35313	−	1.70969i	−0.177374	−	0.128872i
$177$	−20.7828	+	2.33987i	−1.56213	+	0.175875i
$178$	4.20373	−	4.66871i	0.315083	−	0.349935i
$179$	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	$0.562196\pi$
$180$	2.14311	−	2.45214i	0.159738	−	0.182772i
$181$	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	$-0.132081\pi$
$182$	13.5626	−	2.88283i	1.00533	−	0.213689i
$183$	−1.72168	−	7.81523i	−0.127270	−	0.577719i
$184$	−13.6985	+	6.09896i	−1.00987	+	0.449621i
$185$	0.262801	+	0.0558602i	0.0193216	+	0.00410692i
$186$	22.8541	+	30.9717i	1.67574	+	2.27096i
$187$	−18.9194	+	8.42321i	−1.38352	+	0.615966i
$188$	−25.5141			−1.86081
$189$	−2.84783	+	6.79832i	−0.207149	+	0.494505i
$190$	1.85044	+	1.34442i	0.134245	+	0.0975348i
$191$	11.7737	+	5.24200i	0.851917	+	0.379298i	0.785775	−	0.618513i	$-0.212264\pi$
$191$	11.7737	+	5.24200i	0.851917	+	0.379298i	0.0661416	+	0.997810i	$0.478931\pi$
$192$	20.4554	−	6.81400i	1.47624	−	0.491758i
$193$	−15.4911	−	17.2046i	−1.11507	−	1.23841i	−0.968447	−	0.249219i	$-0.919826\pi$
$193$	−15.4911	−	17.2046i	−1.11507	−	1.23841i	−0.146624	−	0.989192i	$-0.546841\pi$
$194$	1.27991	+	12.1775i	0.0918921	+	0.874295i
$195$	−1.98724	+	1.16701i	−0.142309	+	0.0835715i
$196$	−11.4286	+	12.6927i	−0.816327	+	0.906623i
$197$	1.07766			0.0767801			0.0383900	−	0.999263i	$-0.487777\pi$
$197$	1.07766			0.0767801			0.0383900	+	0.999263i	$0.487777\pi$
$198$	−23.1707	+	0.342470i	−1.64667	+	0.0243383i
$199$	16.4307			1.16474			0.582371	−	0.812923i	$-0.302125\pi$
$199$	16.4307			1.16474			0.582371	+	0.812923i	$0.302125\pi$
$200$	−10.8747	+	12.0776i	−0.768960	+	0.854017i
$201$	−15.0150	−	8.52149i	−1.05908	−	0.601060i
$202$	2.31999	+	22.0732i	0.163234	+	1.55307i
$203$	−2.77955	−	3.08701i	−0.195086	−	0.216665i
$204$	−7.43178	+	36.2810i	−0.520329	+	2.54018i
$205$	1.12069	+	0.498961i	0.0782721	+	0.0348490i
$206$	−17.9671	−	13.0538i	−1.25182	−	0.909503i
$207$	−6.60631	+	11.8436i	−0.459171	+	0.823187i
$208$	3.68076			0.255215
$209$	−1.07386	−	10.2182i	−0.0742807	−	0.706804i
$210$	−0.725557	+	1.66261i	−0.0500682	+	0.114731i
$211$	14.6231	+	3.10824i	1.00670	+	0.213980i	0.681618	−	0.731708i	$-0.261276\pi$
$211$	14.6231	+	3.10824i	1.00670	+	0.213980i	0.325077	+	0.945688i	$0.394610\pi$
$212$	20.9060	−	9.30793i	1.43583	−	0.639271i
$213$	4.83911	+	1.53286i	0.331571	+	0.105030i
$214$	−11.7837	+	2.50471i	−0.805520	+	0.171219i
$215$	−0.348070	+	1.07125i	−0.0237382	+	0.0730585i
$216$	−9.81929	+	14.1656i	−0.668118	+	0.963845i
$217$	−10.9500	−	7.95563i	−0.743333	−	0.540063i
$218$	22.5605	−	25.0560i	1.52799	−	1.69701i
$219$	−4.36217	−	5.91158i	−0.294768	−	0.399468i
$220$	−3.60038		3.72050e-5i	−0.242738		2.50836e-6i
$221$	13.1036	−	22.6961i	0.881444	−	1.52671i
$222$	−3.40257	−	0.332205i	−0.228366	−	0.0222961i
$223$	−0.201351	+	1.91573i	−0.0134835	+	0.128286i	−0.999193	−	0.0401676i	$-0.987211\pi$
$223$	−0.201351	+	1.91573i	−0.0134835	+	0.128286i	0.985710	+	0.168454i	$0.0538775\pi$
$224$	−5.26931	+	3.82838i	−0.352070	+	0.255794i
$225$	−1.32006	+	14.6391i	−0.0880039	+	0.975940i
$226$	−5.34854	+	16.4611i	−0.355779	+	1.09498i
$227$	−14.6269	−	6.51230i	−0.970819	−	0.432236i	−0.140841	−	0.990032i	$-0.544980\pi$
$227$	−14.6269	−	6.51230i	−0.970819	−	0.432236i	−0.829978	+	0.557796i	$0.811647\pi$
$228$	−15.9792	−	9.06874i	−1.05825	−	0.600592i
$229$	0.511498	+	0.108722i	0.0338007	+	0.00718457i	0.224781	−	0.974409i	$-0.427833\pi$
$229$	0.511498	+	0.108722i	0.0338007	+	0.00718457i	−0.190980	+	0.981594i	$0.561167\pi$
$230$	−1.66883	+	2.89050i	−0.110040	+	0.190594i
$231$	7.73099	−	2.57522i	0.508662	−	0.169437i
$232$	−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	$-0.209018\pi$
$234$	23.4667	−	17.5856i	1.53407	−	1.14961i
$235$	−1.91099	+	1.38842i	−0.124659	+	0.0905703i
$236$	40.4435	−	8.59653i	2.63265	−	0.559587i
$237$	−4.38204	−	3.88732i	−0.284644	−	0.252508i
$238$	−2.15630	−	20.5158i	−0.139772	−	1.32984i
$239$	−8.80753	+	3.92137i	−0.569712	+	0.253652i	−0.671314	−	0.741173i	$-0.734270\pi$
$239$	−8.80753	+	3.92137i	−0.569712	+	0.253652i	0.101602	+	0.994825i	$0.467603\pi$
$240$	−0.280160	+	0.391665i	−0.0180843	+	0.0252819i
$241$	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
$245$	−0.165286	+	1.57259i	−0.0105598	+	0.100469i
$246$	−14.8811	−	4.71378i	−0.948783	−	0.300540i
$247$	8.69991	+	9.66223i	0.553562	+	0.614793i
$248$	−21.1785	−	23.5211i	−1.34484	−	1.49359i
$249$	5.02586	+	22.8140i	0.318501	+	1.44578i
$250$	−0.764019	+	7.26916i	−0.0483208	+	0.459742i
$251$	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
$255$	1.41769	+	3.12184i	0.0887791	+	0.195497i
$256$	−19.4009	+	8.63785i	−1.21256	+	0.539866i
$257$	−0.382002	−	3.63450i	−0.0238286	−	0.226714i	−0.999955	−	0.00950980i	$-0.996973\pi$
$257$	−0.382002	−	3.63450i	−0.0238286	−	0.226714i	0.976126	−	0.217204i	$-0.0696938\pi$
$258$	2.87618	−	14.0411i	0.179063	−	0.874163i
$259$	1.17589	−	0.249944i	0.0730665	−	0.0155308i
$260$	3.68598	−	2.67802i	0.228595	−	0.166084i
$261$	−8.07777	−	3.45423i	−0.500001	−	0.213812i
$262$	−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	$0.686328\pi$
$264$	18.9356	−	2.13170i	1.16540	−	0.131197i
$265$	1.05933	−	1.83481i	0.0650741	−	0.112712i
$266$	10.0107	+	2.12783i	0.613793	+	0.130466i
$267$	0.0345490	+	4.67200i	0.00211436	+	0.285922i
$268$	31.1811	+	13.8827i	1.90469	+	0.848021i
$269$	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	$0.0910931\pi$
$270$	0.0851038	+	3.83558i	0.00517925	+	0.233426i
$271$	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	$0.274408\pi$
$272$	0.572411	−	5.44612i	0.0347075	−	0.330220i
$273$	−5.99921	+	8.38694i	−0.363089	+	0.507600i
$274$	−11.4206	+	19.7811i	−0.689947	+	1.19502i
$275$	13.1465	−	9.55126i	0.792761	−	0.575962i
$276$	10.7236	−	24.5730i	0.645484	−	1.47912i
$277$	19.3409	−	21.4802i	1.16208	−	1.29062i	0.212478	−	0.977166i	$-0.431847\pi$
$277$	19.3409	−	21.4802i	1.16208	−	1.29062i	0.949603	−	0.313456i	$-0.101487\pi$
$278$	17.8564	+	12.9734i	1.07095	+	0.778094i
$279$	−28.0847	−	5.53679i	−1.68139	−	0.331479i
$280$	0.460948	−	1.41865i	0.0275469	−	0.0847807i
$281$	−8.55152	+	1.81768i	−0.510141	+	0.108434i	−0.455789	−	0.890088i	$-0.650643\pi$
$281$	−8.55152	+	1.81768i	−0.510141	+	0.108434i	−0.0543523	+	0.998522i	$0.517309\pi$
$282$	22.1873	−	20.2767i	1.32124	−	1.20746i
$283$	−21.2100	+	9.44331i	−1.26081	+	0.561347i	−0.924778	−	0.380506i	$-0.875750\pi$
$283$	−21.2100	+	9.44331i	−1.26081	+	0.561347i	−0.336027	+	0.941852i	$0.609083\pi$
$284$	−9.81609	−	2.08647i	−0.582478	−	0.123809i
$285$	−1.69034	+	0.190309i	−0.100127	+	0.0112730i
$286$	−31.7112	−	6.74076i	−1.87512	−	0.398590i
$287$	5.48901			0.324006
$288$	−6.71030	+	12.0300i	−0.395408	+	0.708875i
$289$	−17.7905	−	12.9255i	−1.04650	−	0.760326i
$290$	−1.97526	−	0.879441i	−0.115991	−	0.0516426i
$291$	−6.81207	−	6.04300i	−0.399330	−	0.354247i
$292$	9.71881	+	10.7938i	0.568751	+	0.631662i
$293$	2.19253	+	20.8605i	0.128089	+	1.21868i	0.850032	+	0.526731i	$0.176582\pi$
$293$	2.19253	+	20.8605i	0.128089	+	1.21868i	−0.721944	+	0.691952i	$0.756751\pi$
$294$	−0.148788	−	20.1203i	−0.00867748	−	1.17344i
$295$	2.56139	−	2.84472i	0.149130	−	0.165626i
$296$	2.81121			0.163398
$297$	12.5483	−	11.8127i	0.728126	−	0.685443i
$298$	−9.61284			−0.556857
$299$	−12.6952	+	14.0995i	−0.734183	+	0.815393i
$300$	−0.214881	−	29.0580i	−0.0124062	−	1.67767i
$301$	0.526816	+	5.01232i	0.0303652	+	0.288905i
$302$	−27.7011	−	30.7652i	−1.59402	−	1.77034i
$303$	−12.3477	−	10.9537i	−0.709356	−	0.629272i
$304$	2.48191	+	1.10502i	0.142347	+	0.0633772i
$305$	1.18499	+	0.860949i	0.0678526	+	0.0492978i
$306$	−22.3706	−	37.4565i	−1.27884	−	2.14125i
$307$	23.1324			1.32024			0.660118	−	0.751162i	$-0.270506\pi$
$307$	23.1324			1.32024			0.660118	+	0.751162i	$0.270506\pi$
$308$	−14.7171	+	6.55228i	−0.838582	+	0.373351i
$309$	16.4125	−	1.84783i	0.933675	−	0.105119i
$310$	−6.89111	−	1.46475i	−0.391389	−	0.0831923i
$311$	18.6499	−	8.30346i	1.05754	−	0.470846i	0.197090	−	0.980385i	$-0.436851\pi$
$311$	18.6499	−	8.30346i	1.05754	−	0.470846i	0.860447	+	0.509540i	$0.170184\pi$
$312$	−17.8000	+	16.2671i	−1.00773	+	0.920945i
$313$	33.2955	−	7.07718i	1.88197	−	0.400026i	0.884222	−	0.467066i	$-0.154689\pi$
$313$	33.2955	−	7.07718i	1.88197	−	0.400026i	0.997750	+	0.0670406i	$0.0213557\pi$
$314$	−1.45182	+	4.46825i	−0.0819311	+	0.252158i
$315$	−0.435815	−	1.27674i	−0.0245554	−	0.0719360i
$316$	9.36904	+	6.80701i	0.527050	+	0.382924i
$317$	−18.3478	+	20.3773i	−1.03052	+	1.14451i	−0.0411371	+	0.999154i	$0.513098\pi$
$317$	−18.3478	+	20.3773i	−1.03052	+	1.14451i	−0.989380	+	0.145352i	$0.953569\pi$
$318$	−10.7828	+	24.7087i	−0.604670	+	1.38560i
$319$	3.00125	+	9.23722i	0.168038	+	0.517185i
$320$	−1.97312	+	3.41755i	−0.110301	+	0.191047i
$321$	5.21235	−	7.28689i	0.290925	−	0.406715i
$322$	−1.56105	+	14.8524i	−0.0869941	+	0.827694i
$323$	15.6494	−	11.3699i	0.870754	−	0.632640i
$324$	−4.12643	−	30.5408i	−0.229246	−	1.69671i
$325$	−6.35443	+	19.5569i	−0.352480	+	1.08482i
$326$	−3.36258	−	1.49712i	−0.186236	−	0.0829176i
$327$	0.185417	+	25.0736i	0.0102536	+	1.38658i
$328$	12.5553	+	2.66872i	0.693252	+	0.147355i
$329$	−5.28459	+	9.15318i	−0.291349	+	0.504631i
$330$	3.13096	−	2.86128i	0.172354	−	0.157508i
$331$	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
$333$	2.03459	−	1.52469i	0.111495	−	0.0835525i
$334$	−28.8690	+	20.9746i	−1.57964	+	1.14768i
$335$	3.09091	−	0.656993i	0.168874	−	0.0358954i
$336$	−0.432386	+	2.11085i	−0.0235886	+	0.115156i
$337$	−1.14690	−	10.9120i	−0.0624757	−	0.594417i	−0.980312	−	0.197457i	$-0.936732\pi$
$337$	−1.14690	−	10.9120i	−0.0624757	−	0.594417i	0.917836	−	0.396960i	$-0.129935\pi$
$338$	9.81935	−	4.37186i	0.534102	−	0.237798i
$339$	−5.32229	−	11.7201i	−0.289067	−	0.636546i
$340$	−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
$344$	−1.23194	+	11.7211i	−0.0664215	+	0.631959i
$345$	−0.534014	−	2.42406i	−0.0287504	−	0.130507i
$346$	−1.53665	−	1.70662i	−0.0826108	−	0.0917486i
$347$	14.7870	+	16.4226i	0.793807	+	0.881612i	0.995196	−	0.0978989i	$-0.0312122\pi$
$347$	14.7870	+	16.4226i	0.793807	+	0.881612i	−0.201389	+	0.979511i	$0.564546\pi$
$348$	16.5577	+	5.24488i	0.887586	+	0.281155i
$349$	1.92371	−	18.3029i	0.102974	−	0.979732i	−0.814022	−	0.580835i	$-0.802726\pi$
$349$	1.92371	−	18.3029i	0.102974	−	0.979732i	0.916996	−	0.398897i	$-0.130607\pi$
$350$	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	$-0.509184\pi$
$354$	−28.3383	+	39.6171i	−1.50616	+	2.10562i
$355$	−0.848761	+	0.377893i	−0.0450475	+	0.0200565i
$356$	−0.965504	−	9.18616i	−0.0511716	−	0.486865i
$357$	11.4765	+	10.1808i	0.607401	+	0.538827i
$358$	25.5736	−	5.43583i	1.35161	−	0.287293i
$359$	−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	$0.325215\pi$
$360$	−0.376124	−	3.13224i	−0.0198235	−	0.165084i
$361$	−2.90578	−	8.94306i	−0.152936	−	0.470687i
$362$	−20.8744	−	36.1555i	−1.09713	−	1.90029i
$363$	−18.9624	−	1.85176i	−0.995266	−	0.0971920i
$364$	10.1931	−	17.6549i	0.534262	−	0.925370i
$365$	1.31531	+	0.279578i	0.0688464	+	0.0146338i
$366$	−16.2096	−	9.19945i	−0.847288	−	0.480863i
$367$	1.51873	+	0.676183i	0.0792772	+	0.0352965i	0.445992	−	0.895037i	$-0.352851\pi$
$367$	1.51873	+	0.676183i	0.0792772	+	0.0352965i	−0.366715	+	0.930333i	$0.619518\pi$
$368$	−1.22508	+	3.77040i	−0.0638616	+	0.196546i
$369$	10.5342	−	4.87806i	0.548389	−	0.253942i
$370$	0.506234	−	0.367800i	0.0263178	−	0.0191210i
$371$	0.990914	−	9.42791i	0.0514457	−	0.489473i
$372$	56.3242	+	5.49912i	2.92027	+	0.285116i
$373$	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	$-0.0213191\pi$
$374$	−14.9053	+	45.8721i	−0.770734	+	2.37199i
$375$	−3.22749	−	4.37388i	−0.166667	−	0.225866i
$376$	−16.5380	+	18.3673i	−0.852880	+	0.947219i
$377$	−9.94346	−	7.22435i	−0.512114	−	0.372073i
$378$	7.32835	+	15.5235i	0.376930	+	0.798444i
$379$	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	$-0.00333665\pi$
$380$	3.28941	−	0.699185i	0.168743	−	0.0358674i
$381$	−21.8031	−	6.90642i	−1.11700	−	0.353827i
$382$	27.4210	−	12.2086i	1.40298	−	0.624648i
$383$	−0.782202	−	0.166262i	−0.0399686	−	0.00849560i	0.187884	−	0.982191i	$-0.439837\pi$
$383$	−0.782202	−	0.166262i	−0.0399686	−	0.00849560i	−0.227853	+	0.973696i	$0.573170\pi$
$384$	13.7224	−	31.4447i	0.700266	−	1.60465i
$385$	−0.745741	+	1.29163i	−0.0380065	+	0.0658275i
$386$	−53.9188			−2.74439
$387$	5.46546	+	9.15118i	0.277825	+	0.465181i
$388$	14.5646	+	10.5818i	0.739404	+	0.537209i
$389$	−1.58654	−	0.706374i	−0.0804408	−	0.0358146i	0.366122	−	0.930567i	$-0.380685\pi$
$389$	−1.58654	−	0.706374i	−0.0804408	−	0.0358146i	−0.446563	+	0.894752i	$0.647352\pi$
$390$	−1.07708	+	5.25817i	−0.0545401	+	0.266258i
$391$	18.8875	+	20.9767i	0.955184	+	1.06084i
$392$	1.72945	+	16.4546i	0.0873502	+	0.831081i
$393$	10.9971	+	6.24121i	0.554730	+	0.314827i
$394$	1.67943	−	1.86520i	0.0846086	−	0.0939673i
$395$	1.07216			0.0539461
$396$	−22.4212	+	25.6537i	−1.12671	+	1.28915i
$397$	−24.7599			−1.24267			−0.621333	−	0.783547i	$-0.713409\pi$
$397$	−24.7599			−1.24267			−0.621333	+	0.783547i	$0.713409\pi$
$398$	25.6057	−	28.4380i	1.28350	−	1.42547i
$399$	−6.56311	+	3.85420i	−0.328566	+	0.192951i
$400$	0.449140	+	4.27328i	0.0224570	+	0.213664i
$401$	14.6221	+	16.2395i	0.730191	+	0.810960i	0.987872	−	0.155271i	$-0.0496249\pi$
$401$	14.6221	+	16.2395i	0.730191	+	0.810960i	−0.257681	+	0.966230i	$0.582958\pi$
$402$	−38.1483	+	12.7078i	−1.90267	+	0.633806i
$403$	−36.5849	−	16.2886i	−1.82242	−	0.811395i
$404$	26.4000	+	19.1807i	1.31345	+	0.954278i
$405$	−1.97102	−	2.06294i	−0.0979409	−	0.102508i
$406$	−9.67462			−0.480143
$407$	−2.74939	−	0.584431i	−0.136282	−	0.0289692i
$408$	21.3010	+	28.8670i	1.05456	+	1.42913i
$409$	−7.85919	−	1.67052i	−0.388612	−	0.0826020i	0.00946221	−	0.999955i	$-0.496988\pi$
$409$	−7.85919	−	1.67052i	−0.388612	−	0.0826020i	−0.398074	+	0.917353i	$0.630321\pi$
$410$	2.61008	−	1.16208i	0.128903	−	0.0573911i
$411$	−3.65452	−	16.5890i	−0.180264	−	0.818276i
$412$	−31.9389	+	6.78881i	−1.57351	+	0.334461i
$413$	5.29283	−	16.2897i	0.260443	−	0.801562i
$414$	10.2034	+	29.8913i	0.501470	+	1.46907i
$415$	−3.45919	−	2.51325i	−0.169805	−	0.123371i
$416$	−12.8950	+	14.3214i	−0.632231	+	0.702164i
$417$	−16.3114	+	1.83645i	−0.798773	+	0.0899312i
$418$	−19.3590	−	14.0654i	−0.946877	−	0.687962i
$419$	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	$0.123014\pi$
$420$	1.10280	+	2.42843i	0.0538109	+	0.118495i
$421$	−3.95686	+	37.6470i	−0.192846	+	1.83480i	0.287567	+	0.957760i	$0.407154\pi$
$421$	−3.95686	+	37.6470i	−0.192846	+	1.83480i	−0.480413	+	0.877043i	$0.659513\pi$
$422$	28.1684	−	20.4656i	1.37122	−	0.996248i
$423$	−2.00750	+	22.2627i	−0.0976081	+	1.08245i
$424$	6.85035	−	21.0832i	0.332682	−	1.02389i
$425$	27.9486	+	12.4435i	1.35571	+	0.603599i
$426$	10.1944	−	5.98666i	0.493918	−	0.290055i
$427$	6.41067	+	1.36263i	0.310234	+	0.0659423i
$428$	−8.85614	+	15.3393i	−0.428078	+	0.741452i
$429$	20.7904	−	12.2089i	1.00377	−	0.589453i
$430$	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	$-0.354637\pi$
$432$	1.04609	+	4.43528i	0.0503301	+	0.213393i
$433$	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	$0.297864\pi$
$434$	−30.8340	+	6.55397i	−1.48008	+	0.314601i
$435$	1.52558	−	0.508192i	0.0731458	−	0.0243660i
$436$	−5.18166	−	49.3002i	−0.248156	−	2.36105i
$437$	−12.7932	+	5.69588i	−0.611980	+	0.272471i
$438$	−17.0297	−	1.66267i	−0.813711	−	0.0794454i
$439$	−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
$443$	−1.51564	+	14.4204i	−0.0720104	+	0.685133i	0.897655	+	0.440698i	$0.145269\pi$
$443$	−1.51564	+	14.4204i	−0.0720104	+	0.685133i	−0.969666	+	0.244435i	$0.921398\pi$
$444$	−3.71042	+	3.39089i	−0.176089	+	0.160925i
$445$	−0.572205	−	0.635498i	−0.0271251	−	0.0301255i
$446$	3.00192	+	3.33397i	0.142145	+	0.157868i
$447$	5.27719	−	4.82274i	0.249602	−	0.228108i
$448$	−1.84569	+	17.5606i	−0.0872008	+	0.829660i
$449$	−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
$453$	30.6420	+	2.99168i	1.43968	+	0.140561i
$454$	−34.0660	+	15.1672i	−1.59880	+	0.711830i
$455$	−0.197284	−	1.87703i	−0.00924880	−	0.0879964i
$456$	−16.8860	+	5.62499i	−0.790761	+	0.263414i
$457$	3.13937	−	0.667293i	0.146853	−	0.0312146i	−0.133898	−	0.990995i	$-0.542750\pi$
$457$	3.13937	−	0.667293i	0.146853	−	0.0312146i	0.280752	+	0.959780i	$0.409416\pi$
$458$	0.985297	−	0.715860i	0.0460399	−	0.0334499i
$459$	31.0727	+	9.33936i	1.45035	+	0.435924i
$460$	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	$-0.376725\pi$
$462$	7.59087	−	17.3939i	0.353159	−	0.809239i
$463$	−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	$0.193535\pi$
$464$	−2.51210	−	0.533963i	−0.116621	−	0.0247886i
$465$	4.51790	−	2.65315i	0.209512	−	0.123037i
$466$	−21.8138	−	9.71212i	−1.01050	−	0.449905i
$467$	−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	$0.959244\pi$
$468$	3.87213	−	42.9409i	0.178989	−	1.98494i
$469$	11.4388	−	8.31077i	0.528194	−	0.383756i
$470$	−0.575050	+	5.47123i	−0.0265251	+	0.252369i
$471$	−1.44470	−	3.18133i	−0.0665682	−	0.146588i
$472$	20.0265	−	34.6869i	0.921795	−	1.59660i
$473$	3.64158	−	11.2072i	0.167440	−	0.515309i
$474$	−13.5571	+	1.52635i	−0.622699	+	0.0701076i
$475$	−10.1560	+	11.2794i	−0.465990	+	0.517535i
$476$	−24.5374	−	17.8275i	−1.12467	−	0.817120i
$477$	−6.47684	−	18.9741i	−0.296554	−	0.868766i
$478$	−6.93867	+	21.3550i	−0.317367	+	0.976756i
$479$	0.153567	−	0.0326418i	0.00701668	−	0.00149144i	−0.204402	−	0.978887i	$-0.565525\pi$
$479$	0.153567	−	0.0326418i	0.00701668	−	0.00149144i	0.211419	+	0.977396i	$0.432192\pi$
$480$	−0.542420	−	2.46221i	−0.0247580	−	0.112384i
$481$	3.24945	−	1.44675i	0.148162	−	0.0659660i
$482$	0.634980	+	0.134969i	0.0289225	+	0.00614767i
$483$	−6.59445	−	8.93676i	−0.300058	−	0.406637i
$484$	37.6668		0.000778469i	1.71213		3.53850e-5i
$485$	1.66671			0.0756816
$486$	27.8598	+	23.2792i	1.26375	+	1.05597i
$487$	−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	$0.833134\pi$
$488$	14.0010	+	6.23364i	0.633795	+	0.282184i
$489$	2.59706	−	0.865121i	0.117443	−	0.0391221i
$490$	2.46424	+	2.73682i	0.111323	+	0.123637i
$491$	0.694902	+	6.61155i	0.0313605	+	0.298375i	0.998949	+	0.0458419i	$0.0145971\pi$
$491$	0.694902	+	6.61155i	0.0313605	+	0.298375i	−0.967588	+	0.252533i	$0.918736\pi$
$492$	−19.7904	+	11.6219i	−0.892219	+	0.523958i
$493$	−12.2356	+	13.5890i	−0.551065	+	0.612019i
$494$	30.2813			1.36242
$495$	−0.283318	+	3.14156i	−0.0127342	+	0.141203i
$496$	−8.36804			−0.375736
$497$	−2.78168	+	3.08936i	−0.124775	+	0.138577i
$498$	47.3184	+	26.8547i	2.12039	+	1.20339i
$499$	−3.54846	−	33.7614i	−0.158851	−	1.51137i	−0.725968	−	0.687729i	$-0.758608\pi$
$499$	−3.54846	−	33.7614i	−0.158851	−	1.51137i	0.567117	−	0.823638i	$-0.308059\pi$
$500$	7.19078	+	7.98617i	0.321582	+	0.357153i
$501$	5.32543	−	25.9980i	0.237922	−	1.16151i
$502$	9.41572	+	4.19215i	0.420244	+	0.187105i
$503$	−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	$0.722282\pi$
$504$	−7.23790	−	12.1189i	−0.322402	−	0.539819i
$505$	3.02112			0.134438
$506$	17.4594	−	30.2399i	0.776167	−	1.34433i
$507$	−3.19721	+	7.32638i	−0.141993	+	0.325376i
$508$	44.2273	+	9.40080i	1.96227	+	0.417093i
$509$	20.8320	−	9.27502i	0.923364	−	0.411108i	0.110709	−	0.993853i	$-0.464688\pi$
$509$	20.8320	−	9.27502i	0.923364	−	0.411108i	0.812655	+	0.582745i	$0.198021\pi$
$510$	7.61258	+	2.41139i	0.337091	+	0.106778i
$511$	5.88530	−	1.25096i	0.260350	−	0.0553391i
$512$	−3.04225	+	9.36310i	−0.134450	+	0.413794i
$513$	−9.17033	+	13.2294i	−0.404880	+	0.584091i
$514$	−6.88586	−	5.00287i	−0.303722	−	0.220667i
$515$	−2.02277	+	2.24652i	−0.0891340	+	0.0989933i
$516$	−12.5120	−	16.9562i	−0.550812	−	0.746457i
$517$	19.9927	−	14.5252i	0.879279	−	0.638819i
$518$	1.39992	−	2.42474i	0.0615090	−	0.106537i
$519$	1.69979	+	0.165956i	0.0746124	+	0.00728467i
$520$	0.461339	−	4.38935i	0.0202311	−	0.192486i
$521$	−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	$0.336815\pi$
$522$	−18.5670	+	8.59779i	−0.812655	+	0.376315i
$523$	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	$0.0162512\pi$
$524$	−22.8373	−	10.1678i	−0.997651	−	0.444183i
$525$	−10.4691	−	5.94154i	−0.456908	−	0.259310i
$526$	32.9242	+	6.99825i	1.43556	+	0.305138i
$527$	−29.7904	+	51.5985i	−1.29769	+	2.24767i
$528$	2.93104	−	4.09753i	0.127557	−	0.178322i
$529$	1.28255	+	2.22144i	0.0557629	+	0.0965843i
$530$	−1.52480	−	4.69285i	−0.0662331	−	0.203845i
$531$	−4.31884	−	35.9659i	−0.187422	−	1.56079i
$532$	12.1734	−	8.84448i	0.527783	−	0.383457i
$533$	15.8860	−	3.37667i	0.688099	−	0.146260i
$534$	8.14007	+	7.22108i	0.352255	+	0.312487i
$535$	0.171408	+	1.63083i	0.00741060	+	0.0705071i
$536$	30.2052	−	13.4482i	1.30467	−	0.580875i
$537$	−11.3121	+	15.8143i	−0.488151	+	0.682439i
$538$	−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	$0.562595\pi$
$542$	0.643724	−	6.12462i	0.0276503	−	0.263075i
$543$	29.5986	+	9.37577i	1.27020	+	0.402353i
$544$	19.1848	+	21.3069i	0.822542	+	0.913526i
$545$	−3.07090	−	3.41058i	−0.131543	−	0.146093i
$546$	5.16678	+	23.4536i	0.221118	+	1.00372i
$547$	−2.46000	+	23.4054i	−0.105182	+	1.00074i	0.806887	+	0.590706i	$0.201151\pi$
$547$	−2.46000	+	23.4054i	−0.105182	+	1.00074i	−0.912069	+	0.410036i	$0.865516\pi$
$548$	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
$552$	−10.7389	−	23.6477i	−0.457077	−	1.00651i
$553$	4.38257	−	1.95125i	0.186366	−	0.0829755i
$554$	−7.03671	−	66.9498i	−0.298961	−	2.84443i
$555$	−0.0933841	+	0.455889i	−0.00396393	+	0.0193514i
$556$	31.7421	−	6.74700i	1.34617	−	0.286136i
$557$	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	$0.257480\pi$
$558$	−53.3504	+	39.9800i	−2.25850	+	1.69249i
$559$	4.60811	+	14.1823i	0.194902	+	0.599847i
$560$	−0.197187	−	0.341538i	−0.00833268	−	0.0144326i
$561$	−14.8313	−	32.6605i	−0.626180	−	1.37893i
$562$	−10.1807	+	17.6335i	−0.429448	+	0.743826i
$563$	16.5956	+	3.52751i	0.699423	+	0.148667i	0.543881	−	0.839162i	$-0.316954\pi$
$563$	16.5956	+	3.52751i	0.699423	+	0.148667i	0.155542	+	0.987829i	$0.450288\pi$
$564$	−0.326785	−	44.1905i	−0.0137601	−	1.86076i
$565$	2.15228	+	0.958259i	0.0905473	+	0.0403142i
$566$	−16.7095	+	51.4265i	−0.702352	+	2.16162i
$567$	−11.8112	−	4.84538i	−0.496023	−	0.203487i
$568$	−7.86471	+	5.71404i	−0.329996	+	0.239756i
$569$	−2.32581	+	22.1286i	−0.0975031	+	0.927680i	0.830979	+	0.556303i	$0.187781\pi$
$569$	−2.32581	+	22.1286i	−0.0975031	+	0.927680i	−0.928482	+	0.371376i	$0.878886\pi$
$570$	−2.30485	+	3.22219i	−0.0965394	+	0.134963i
$571$	−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	$0.901990\pi$
$572$	−38.5625	+	28.0167i	−1.61238	+	1.17144i
$573$	−8.92836	+	20.4593i	−0.372988	+	0.854698i
$574$	8.55411	−	9.50030i	0.357042	−	0.396535i
$575$	−17.9182	−	13.0184i	−0.747243	−	0.542904i
$576$	12.0639	+	35.3416i	0.502661	+	1.47256i
$577$	−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	$0.807001\pi$
$578$	−50.0962	+	10.6483i	−2.08373	+	0.442910i
$579$	29.6000	−	27.0509i	1.23013	−	1.12420i
$580$	−2.90415	+	1.29301i	−0.120588	+	0.0536894i
$581$	−18.7138	−	3.97774i	−0.776379	−	0.165025i
$582$	−21.0751	+	2.37278i	−0.873592	+	0.0983547i
$583$	−11.0828	+	19.1955i	−0.459001	+	0.794995i
$584$	14.0700			0.582219
$585$	−2.04672	−	3.42696i	−0.0846215	−	0.141687i
$586$	39.5219	+	28.7143i	1.63263	+	1.18618i
$587$	−11.3185	−	5.03932i	−0.467165	−	0.207995i	0.159634	−	0.987176i	$-0.448969\pi$
$587$	−11.3185	−	5.03932i	−0.467165	−	0.207995i	−0.626799	+	0.779181i	$0.715635\pi$
$588$	−22.1302	−	19.6318i	−0.912635	−	0.809601i
$589$	−19.7788	−	21.9666i	−0.814973	−	0.905119i
$590$	−0.931901	−	8.86645i	−0.0383658	−	0.365026i
$591$	0.0138027	+	1.86651i	0.000567766	+	0.0767780i
$592$	0.497328	−	0.552339i	0.0204401	−	0.0227010i
$593$	4.18039			0.171668			0.0858340	−	0.996309i	$-0.472645\pi$
$593$	4.18039			0.171668			0.0858340	+	0.996309i	$0.472645\pi$
$594$	−0.889931	−	40.1274i	−0.0365143	−	1.64645i
$595$	−2.80796			−0.115115
$596$	−9.45710	+	10.5032i	−0.387378	+	0.430227i
$597$	0.210445	+	28.4580i	0.00861292	+	1.16471i
$598$	4.61885	+	43.9454i	0.188879	+	1.79706i
$599$	−29.4944	−	32.7569i	−1.20511	−	1.33841i	−0.925709	−	0.378236i	$-0.876531\pi$
$599$	−29.4944	−	32.7569i	−1.20511	−	1.33841i	−0.279401	−	0.960174i	$-0.590136\pi$
$600$	−21.0578	−	18.6804i	−0.859680	−	0.762624i
$601$	−1.59991	−	0.712324i	−0.0652616	−	0.0290563i	0.373846	−	0.927491i	$-0.378039\pi$
$601$	−1.59991	−	0.712324i	−0.0652616	−	0.0290563i	−0.439108	+	0.898434i	$0.644705\pi$
$602$	9.49624	+	6.89943i	0.387038	+	0.281200i
$603$	14.5669	−	26.1152i	0.593212	−	1.06349i
$604$	−60.8670			−2.47664
$605$	2.82126	−	2.04968i	0.114701	−	0.0833312i
$606$	−38.2012	+	4.30094i	−1.55182	+	0.174714i
$607$	10.6316	+	2.25982i	0.431525	+	0.0917234i	0.418553	−	0.908192i	$-0.362538\pi$
$607$	10.6316	+	2.25982i	0.431525	+	0.0917234i	0.0129718	+	0.999916i	$0.495871\pi$
$608$	−12.9945	+	5.78553i	−0.526997	+	0.234634i
$609$	5.31111	−	4.85373i	0.215217	−	0.196683i
$610$	3.33682	−	0.709263i	0.135104	−	0.0287172i
$611$	−9.66362	+	29.7416i	−0.390948	+	1.20321i
$612$	−62.9339	−	12.4072i	−2.54395	−	0.501531i
$613$	−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	$0.816996\pi$
$614$	36.0497	−	40.0372i	1.45485	−	1.61577i
$615$	−0.849849	+	1.94742i	−0.0342692	+	0.0785276i
$616$	−4.82254	+	14.8417i	−0.194306	+	0.597990i
$617$	−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	$0.192299\pi$
$618$	22.3792	−	31.2862i	0.900222	−	1.25852i
$619$	1.14724	−	10.9153i	0.0461115	−	0.438721i	−0.946972	−	0.321315i	$-0.895875\pi$
$619$	1.14724	−	10.9153i	0.0461115	−	0.438721i	0.993084	−	0.117407i	$-0.0374581\pi$
$620$	−8.37989	+	6.08835i	−0.336544	+	0.244514i
$621$	−20.5978	−	11.2905i	−0.826560	−	0.453071i
$622$	14.6926	−	45.2191i	0.589118	−	1.81312i
$623$	−3.49552	−	1.55630i	−0.140045	−	0.0623520i
$624$	0.0471432	+	6.37510i	0.00188724	+	0.255208i
$625$	−22.9890	−	4.88646i	−0.919560	−	0.195458i
$626$	39.6388	−	68.6565i	1.58429	−	2.74407i
$627$	17.6841	−	1.99081i	0.706236	−	0.0795053i
$628$	3.45380	+	5.98216i	0.137822	+	0.238714i
$629$	−1.63530	−	5.03293i	−0.0652037	−	0.200676i
$630$	−2.88894	−	1.23537i	−0.115098	−	0.0492184i
$631$	−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	$0.355075\pi$
$632$	10.9732	−	2.33242i	0.436490	−	0.0927788i
$633$	−5.19618	+	25.3671i	−0.206530	+	1.00825i
$634$	6.67542	+	63.5123i	0.265115	+	2.52240i
$635$	3.82417	−	1.70263i	0.151757	−	0.0675668i
$636$	16.3891	+	36.0900i	0.649871	+	1.43106i
$637$	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
$641$	−3.87671	+	36.8844i	−0.153121	+	1.45685i	0.600546	+	0.799591i	$0.294950\pi$
$641$	−3.87671	+	36.8844i	−0.153121	+	1.45685i	−0.753666	+	0.657257i	$0.771717\pi$
$642$	−4.48910	−	20.3774i	−0.177170	−	0.804232i
$643$	−27.2554	−	30.2702i	−1.07485	−	1.19374i	−0.980155	−	0.198234i	$-0.936479\pi$
$643$	−27.2554	−	30.2702i	−1.07485	−	1.19374i	−0.0946941	−	0.995506i	$-0.530187\pi$
$644$	14.6923	+	16.3175i	0.578958	+	0.642998i
$645$	−1.85986	−	0.589137i	−0.0732321	−	0.0231973i
$646$	4.70916	−	44.8047i	0.185280	−	1.76282i
$647$	−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
$651$	13.6389	−	19.0673i	0.534552	−	0.747306i
$652$	−4.94388	+	2.20116i	−0.193617	+	0.0862040i
$653$	3.81817	+	36.3275i	0.149417	+	1.42160i	0.770290	+	0.637694i	$0.220111\pi$
$653$	3.81817	+	36.3275i	0.149417	+	1.42160i	−0.620873	+	0.783911i	$0.713222\pi$
$654$	43.6861	+	38.7540i	1.70826	+	1.51540i
$655$	−2.26381	+	0.481187i	−0.0884542	+	0.0188015i
$656$	2.74549	−	1.99472i	0.107193	−	0.0778806i
$657$	10.1830	−	7.63100i	0.397277	−	0.297714i
$658$	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	$0.678456\pi$
$660$	−0.0460493	−	6.23587i	−0.00179246	−	0.242731i
$661$	−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	$0.247918\pi$
$662$	40.9431	+	8.70273i	1.59130	+	0.338241i
$663$	39.4776	+	22.4048i	1.53318	+	0.870130i
$664$	−40.8712	−	18.1970i	−1.58611	−	0.706181i
$665$	0.430484	−	1.32489i	0.0166935	−	0.0513772i
$666$	0.531800	−	5.89752i	0.0206068	−	0.228524i
$667$	10.7098	−	7.78112i	0.414685	−	0.301286i
$668$	−5.48410	+	52.1777i	−0.212186	+	2.01882i
$669$	−3.32062	−	0.324204i	−0.128383	−	0.0125344i
$670$	3.67978	−	6.37356i	0.142162	−	0.246232i
$671$	−12.3972	−	9.00727i	−0.478588	−	0.347722i
$672$	−6.69825	−	9.07743i	−0.258391	−	0.350169i
$673$	11.3924	−	12.6525i	0.439144	−	0.487719i	−0.482423	−	0.875939i	$-0.660243\pi$
$673$	11.3924	−	12.6525i	0.439144	−	0.487719i	0.921567	+	0.388219i	$0.126910\pi$
$674$	−20.6737	−	15.0204i	−0.796323	−	0.578562i
$675$	−25.3719	−	2.09885i	−0.976564	−	0.0807847i
$676$	4.88349	−	15.0298i	0.187827	−	0.578071i
$677$	34.6574	−	7.36665i	1.33199	−	0.283123i	0.513721	−	0.857957i	$-0.328267\pi$
$677$	34.6574	−	7.36665i	1.33199	−	0.283123i	0.818270	+	0.574834i	$0.194933\pi$
$678$	−28.5792	−	9.05285i	−1.09758	−	0.347673i
$679$	6.81290	−	3.03330i	0.261455	−	0.116407i
$680$	−6.42281	−	1.36521i	−0.246304	−	0.0523535i
$681$	11.0920	−	25.4172i	0.425046	−	0.973988i
$682$	72.0939	+	15.3248i	2.76062	+	0.586817i
$683$	23.8967			0.914381			0.457191	−	0.889369i	$-0.348856\pi$
$683$	23.8967			0.914381			0.457191	+	0.889369i	$0.348856\pi$
$684$	15.5024	−	27.7923i	0.592750	−	1.06266i
$685$	2.51533	+	1.82749i	0.0961058	+	0.0698250i
$686$	36.1801	+	16.1084i	1.38136	+	0.615022i
$687$	−0.181756	+	0.887309i	−0.00693443	+	0.0338530i
$688$	2.08499	+	2.31561i	0.0794894	+	0.0882819i
$689$	−2.93192	−	27.8953i	−0.111697	−	1.06273i
$690$	−5.02773	−	2.85340i	−0.191403	−	0.108627i
$691$	−0.396537	+	0.440399i	−0.0150850	+	0.0167536i	−0.750640	−	0.660711i	$-0.770255\pi$
$691$	−0.396537	+	0.440399i	−0.0150850	+	0.0167536i	0.735555	+	0.677465i	$0.236921\pi$
$692$	−3.37645			−0.128353
$693$	4.55931	+	13.3571i	0.173194	+	0.507395i
$694$	51.4682			1.95371
$695$	2.01031	−	2.23268i	0.0762555	−	0.0846903i
$696$	14.5082	−	8.52000i	0.549933	−	0.322950i
$697$	−2.52569	−	24.0303i	−0.0956672	−	0.910213i
$698$	−28.6805	−	31.8529i	−1.08557	−	1.20565i
$699$	16.8477	−	5.61223i	0.637239	−	0.212274i
$700$	21.7407	+	9.67960i	0.821723	+	0.365855i
$701$	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	$0.540577\pi$
$702$	30.7589	+	40.4192i	1.16092	+	1.52552i
$703$	2.62542			0.0990194
$704$	20.6430	−	35.7538i	0.778011	−	1.34752i
$705$	−2.42922	−	3.29206i	−0.0914896	−	0.123986i
$706$	−75.3387	−	16.0137i	−2.83541	−	0.602685i
$707$	12.3492	−	5.49821i	0.464439	−	0.206782i
$708$	15.4072	+	69.9382i	0.579039	+	2.62844i
$709$	−14.7746	+	3.14044i	−0.554871	+	0.117942i	−0.476809	−	0.879007i	$-0.658207\pi$
$709$	−14.7746	+	3.14044i	−0.554871	+	0.117942i	−0.0780624	+	0.996948i	$0.524873\pi$
$710$	−0.668663	+	2.05793i	−0.0250945	+	0.0772329i
$711$	6.67672	−	7.63950i	0.250397	−	0.286504i
$712$	−7.23882	−	5.25931i	−0.271286	−	0.197101i
$713$	28.8620	−	32.0545i	1.08089	−	1.20045i
$714$	35.5059	−	3.99749i	1.32877	−	0.149602i
$715$	−1.36371	+	4.19692i	−0.0509998	+	0.156956i
$716$	19.2200	−	33.2900i	0.718284	−	1.24410i
$717$	−6.90463	−	15.2045i	−0.257858	−	0.567821i
$718$	−0.730010	+	6.94558i	−0.0272437	+	0.259207i
$719$	−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	$0.372094\pi$
$720$	−0.681954	−	0.480222i	−0.0254149	−	0.0178968i
$721$	−4.17983	+	12.8642i	−0.155665	+	0.479088i
$722$	−20.0069	−	8.90765i	−0.744580	−	0.331508i
$723$	−0.416300	+	0.244473i	−0.0154824	+	0.00909206i
$724$	−60.0405	−	12.7620i	−2.23139	−	0.474296i
$725$	7.17396	−	12.4257i	0.266434	−	0.461477i
$726$	−32.7561	+	29.9340i	−1.21569	+	1.11095i
$727$	−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
$729$	−26.9734	+	1.19756i	−0.999016	+	0.0443541i
$730$	2.53368	−	1.84082i	0.0937755	−	0.0681319i
$731$	21.7010	−	4.61269i	0.802640	−	0.170606i
$732$	−25.9985	+	8.66048i	−0.960931	+	0.320101i
$733$	3.37265	+	32.0886i	0.124572	+	1.18522i	0.860964	+	0.508666i	$0.169861\pi$
$733$	3.37265	+	32.0886i	0.124572	+	1.18522i	−0.736392	+	0.676555i	$0.763472\pi$
$734$	3.53713	−	1.57483i	0.130558	−	0.0581281i
$735$	−2.72586	−	0.266135i	−0.100545	−	0.00981653i
$736$	−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	$0.918350\pi$
$740$	0.0961664	−	0.914963i	0.00353515	−	0.0336347i
$741$	−16.6236	+	15.1920i	−0.610683	+	0.558093i
$742$	−14.7735	−	16.4076i	−0.542351	−	0.602341i
$743$	5.21170	+	5.78818i	0.191199	+	0.212348i	0.831121	−	0.556092i	$-0.187700\pi$
$743$	5.21170	+	5.78818i	0.191199	+	0.212348i	−0.639922	+	0.768440i	$0.721033\pi$
$744$	40.4674	−	36.9825i	1.48361	−	1.35585i
$745$	−0.136774	+	1.30132i	−0.00501100	+	0.0476765i
$746$	−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
$750$	−12.6000	−	1.23018i	−0.460087	−	0.0449198i
$751$	45.3932	−	20.2103i	1.65642	−	0.737486i	0.656562	−	0.754272i	$-0.272010\pi$
$751$	45.3932	−	20.2103i	1.65642	−	0.737486i	0.999859	+	0.0167864i	$0.00534354\pi$
$752$	0.683037	+	6.49866i	0.0249078	+	0.236982i
$753$	−7.27216	+	2.42247i	−0.265012	+	0.0882796i
$754$	−27.9997	+	5.95153i	−1.01969	+	0.216742i
$755$	−4.55890	+	3.31224i	−0.165915	+	0.120545i
$756$	24.1709	+	7.26494i	0.879089	+	0.264223i
$757$	−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
$759$	5.58653	+	25.3603i	0.202778	+	0.920519i
$760$	1.62882	−	2.82121i	0.0590836	−	0.102336i
$761$	−43.5379	−	9.25426i	−1.57825	−	0.335467i	−0.666271	−	0.745710i	$-0.732111\pi$
$761$	−43.5379	−	9.25426i	−1.57825	−	0.335467i	−0.911976	+	0.410243i	$0.865444\pi$
$762$	−45.9316	+	26.9734i	−1.66393	+	0.977144i
$763$	−18.7597	−	8.35235i	−0.679147	−	0.302376i
$764$	13.6374	−	41.9716i	0.493384	−	1.51848i
$765$	−5.38889	+	2.49543i	−0.194836	+	0.0902223i
$766$	−1.50675	+	1.09472i	−0.0544412	+	0.0395538i
$767$	5.29732	−	50.4006i	0.191275	−	1.81986i
$768$	−15.2093	−	33.4918i	−0.548817	−	1.20853i
$769$	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	$0.147606\pi$
$770$	1.07337	+	3.30360i	0.0386815	+	0.119054i
$771$	6.29008	−	0.708179i	0.226532	−	0.0255044i
$772$	−53.0453	+	58.9127i	−1.90914	+	2.12032i
$773$	−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	$0.871213\pi$
$774$	24.3561	+	4.80172i	0.875464	+	0.172594i
$775$	14.4465	−	44.4617i	0.518934	−	1.59711i
$776$	17.0583	−	3.62585i	0.612357	−	0.130160i
$777$	0.447965	+	2.03345i	0.0160707	+	0.0729497i
$778$	−3.69506	+	1.64515i	−0.132474	+	0.0589813i
$779$	11.7255	+	2.49234i	0.420111	+	0.0892973i
$780$	4.68555	+	6.34982i	0.167769	+	0.227360i
$781$	8.87968	−	3.95338i	0.317740	−	0.141463i
$782$	65.7407			2.35088
$783$	5.87928	−	14.0350i	0.210108	−	0.501569i
$784$	3.53890	+	2.57116i	0.126389	+	0.0918273i
$785$	0.584222	+	0.260113i	0.0208518	+	0.00928382i
$786$	27.9401	−	9.30728i	0.996592	−	0.331980i
$787$	8.73129	+	9.69708i	0.311237	+	0.345663i	0.878386	−	0.477951i	$-0.158621\pi$
$787$	8.73129	+	9.69708i	0.311237	+	0.345663i	−0.567150	+	0.823615i	$0.691954\pi$
$788$	−0.385729	−	3.66996i	−0.0137410	−	0.130737i
$789$	−21.5855	+	12.6761i	−0.768464	+	0.451282i
$790$	1.67086	−	1.85568i	0.0594464	−	0.0660220i
$791$	10.5417			0.374819
$792$	3.93463	+	32.7692i	0.139811	+	1.16440i
$793$	19.3917			0.688618
$794$	−38.5861	+	42.8542i	−1.36937	+	1.52084i
$795$	3.19147	+	1.81126i	0.113190	+	0.0642388i
$796$	−5.88107	−	55.9547i	−0.208449	−	1.98326i
$797$	33.5725	+	37.2861i	1.18920	+	1.32074i	0.935445	+	0.353471i	$0.114999\pi$
$797$	33.5725	+	37.2861i	1.18920	+	1.32074i	0.253754	+	0.967269i	$0.418334\pi$
$798$	−3.55719	+	17.3657i	−0.125923	+	0.614741i
$799$	42.5033	+	18.9237i	1.50366	+	0.669472i
$800$	−18.2003	−	13.2233i	−0.643477	−	0.467514i
$801$	−8.09148	+	0.119678i	−0.285898	+	0.00422861i
$802$	50.8941			1.79713
$803$	−13.7606	−	2.92505i	−0.485600	−	0.103223i
$804$	−23.6455	+	54.1835i	−0.833914	+	1.91091i
$805$	1.98840	+	0.422648i	0.0700820	+	0.0148964i
$806$	−85.2062	+	37.9363i	−3.00126	+	1.33625i
$807$	1.51538	+	0.480017i	0.0533438	+	0.0168974i
$808$	30.9202	−	6.57229i	1.08777	−	0.231212i
$809$	−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	$0.887978\pi$
$810$	−6.64215	+	0.196526i	−0.233381	+	0.00690523i
$811$	−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	$0.826873\pi$
$812$	−9.51789	+	10.5707i	−0.334012	+	0.370958i
$813$	2.71932	+	3.68521i	0.0953708	+	0.129246i
$814$	−5.29620	+	3.84783i	−0.185632	+	0.134866i
$815$	−0.250512	+	0.433900i	−0.00877506	+	0.0151989i
$816$	9.44004	+	0.921663i	0.330467	+	0.0322647i
$817$	−1.15052	+	10.9464i	−0.0402515	+	0.382967i
$818$	−15.1391	+	10.9992i	−0.529327	+	0.384579i
$819$	−14.6030	−	10.2832i	−0.510272	−	0.359325i
$820$	1.29808	−	3.99508i	0.0453309	−	0.139514i
$821$	2.31785	+	1.03197i	0.0808934	+	0.0360160i	0.446784	−	0.894642i	$-0.352569\pi$
$821$	2.31785	+	1.03197i	0.0808934	+	0.0360160i	−0.365891	+	0.930658i	$0.619236\pi$
$822$	−34.4073	−	19.5272i	−1.20009	−	0.681091i
$823$	10.1460	+	2.15660i	0.353668	+	0.0751745i	0.381320	−	0.924443i	$-0.375470\pi$
$823$	10.1460	+	2.15660i	0.353668	+	0.0751745i	−0.0276517	+	0.999618i	$0.508803\pi$
$824$	−15.8152	+	27.3928i	−0.550950	+	0.954273i
$825$	16.7112	+	22.6474i	0.581809	+	0.788481i
$826$	−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	$0.530851\pi$
$828$	42.6979	+	18.2586i	1.48385	+	0.634529i
$829$	−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	$0.528253\pi$
$830$	−9.74073	+	2.07046i	−0.338106	+	0.0718666i
$831$	37.4515	+	33.2234i	1.29918	+	1.15251i
$832$	5.46104	+	51.9583i	0.189327	+	1.80133i
$833$	28.4527	−	12.6680i	0.985829	−	0.438919i
$834$	−22.2413	+	31.0935i	−0.770154	+	1.07668i
$835$	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
$839$	2.10265	−	20.0054i	0.0725915	−	0.690662i	−0.896346	−	0.443355i	$-0.853788\pi$
$839$	2.10265	−	20.0054i	0.0725915	−	0.690662i	0.968937	−	0.247306i	$-0.0795454\pi$
$840$	2.46302	+	0.780194i	0.0849821	+	0.0269193i
$841$	−13.6665	−	15.1781i	−0.471257	−	0.523384i
$842$	58.9925	+	65.5178i	2.03302	+	2.25789i
$843$	−3.25776	−	14.7880i	−0.112203	−	0.509325i
$844$	5.35100	−	50.9114i	0.184189	−	1.75244i
$845$	−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
$849$	−16.6275	−	36.6149i	−0.570655	−	1.25662i
$850$	65.0923	−	28.9810i	2.23265	−	0.994039i
$851$	0.400459	+	3.81011i	0.0137275	+	0.130609i
$852$	3.48806	−	17.0282i	0.119499	−	0.583377i
$853$	−8.92089	+	1.89619i	−0.305446	+	0.0649245i	−0.358085	−	0.933689i	$-0.616570\pi$
$853$	−8.92089	+	1.89619i	−0.305446	+	0.0649245i	0.0526390	+	0.998614i	$0.483237\pi$
$854$	12.3489	−	8.97197i	0.422569	−	0.307014i
$855$	−0.351266	−	2.92523i	−0.0120131	−	0.100041i
$856$	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	$0.823299\pi$
$858$	11.2689	−	55.0102i	0.384713	−	1.87802i
$859$	−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	$0.328354\pi$
$860$	3.77271	+	0.801915i	0.128648	+	0.0273451i
$861$	0.0703033	+	9.50699i	0.00239593	+	0.323997i
$862$	−63.3708	−	28.2145i	−2.15842	−	0.960989i
$863$	−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	$0.158291\pi$
$864$	−20.9220	−	11.4682i	−0.711780	−	0.390155i
$865$	−0.252894	+	0.183738i	−0.00859865	+	0.00624729i
$866$	0.0679878	−	0.646861i	0.00231032	−	0.0219812i
$867$	22.1592	−	30.9787i	0.752567	−	1.05209i
$868$	−23.1735	+	40.1376i	−0.786559	+	1.36236i
$869$	−11.2168		0.000115910i	−0.380503		3.93198e-6i
$870$	1.49790	−	3.43242i	0.0507834	−	0.116370i
$871$	27.9930	−	31.0893i	0.948506	−	1.05342i
$872$	−38.8492	−	28.2256i	−1.31560	−	0.955840i
$873$	10.3793	−	11.8759i	0.351284	−	0.401939i
$874$	−10.0786	+	31.0187i	−0.340913	+	1.04922i
$875$	4.35443	−	0.925562i	0.147207	−	0.0312897i
$876$	−18.5705	+	16.9713i	−0.627439	+	0.573406i
$877$	37.3021	−	16.6080i	1.25960	−	0.560811i	0.335171	−	0.942157i	$-0.391206\pi$
$877$	37.3021	−	16.6080i	1.25960	−	0.560811i	0.924432	+	0.381346i	$0.124539\pi$
$878$	−34.1637	−	7.26173i	−1.15297	−	0.245071i
$879$	−36.1024	+	4.06464i	−1.21770	+	0.137097i
$880$	0.0963762	+	0.917050i	0.00324884	+	0.0309137i
$881$	21.0458			0.709050			0.354525	−	0.935047i	$-0.384643\pi$
$881$	21.0458			0.709050			0.354525	+	0.935047i	$0.384643\pi$
$882$	34.8465	−	0.515402i	1.17334	−	0.0173545i
$883$	−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	$0.768704\pi$
$884$	−81.9816	−	36.5006i	−2.75734	−	1.22765i
$885$	4.95986	+	4.39991i	0.166724	+	0.147901i
$886$	22.5966	+	25.0961i	0.759148	+	0.843119i
$887$	−1.12107	−	10.6662i	−0.0376417	−	0.358137i	−0.997089	−	0.0762484i	$-0.975706\pi$
$887$	−1.12107	−	10.6662i	−0.0376417	−	0.358137i	0.959447	−	0.281889i	$-0.0909609\pi$
$888$	0.0360060	+	4.86902i	0.00120828	+	0.163394i
$889$	12.5331	−	13.9194i	0.420346	−	0.466842i
$890$	−1.99164			−0.0667599
$891$	20.6204	+	21.5824i	0.690809	+	0.723038i
$892$	6.59606			0.220852
$893$	−15.4450	+	17.1534i	−0.516846	+	0.574015i
$894$	−0.123121	−	16.6495i	−0.00411779	−	0.556841i
$895$	−0.371996	−	3.53931i	−0.0124345	−	0.118306i
$896$	18.8009	+	20.8805i	0.628094	+	0.697569i
$897$	−24.5829	−	21.8076i	−0.820800	−	0.728133i
$898$	−45.1523	−	20.1031i	−1.50675	−	0.670850i
$899$	22.6060	+	16.4242i	0.753952	+	0.547778i
$900$	50.3258	−	0.744350i	1.67753	−	0.0248117i
$901$	−41.7304			−1.39024
$902$	−27.3065	+	12.1573i	−0.909206	+	0.404793i
$903$	−8.67461	+	0.976645i	−0.288673	+	0.0325007i
$904$	24.1126	+	5.12529i	0.801972	+	0.170464i
$905$	−5.19148	+	2.31139i	−0.172571	+	0.0768334i
$906$	52.9306	−	48.3724i	1.75850	−	1.60707i
$907$	12.9561	−	2.75391i	0.430201	−	0.0914421i	0.0122784	−	0.999925i	$-0.496092\pi$
$907$	12.9561	−	2.75391i	0.430201	−	0.0914421i	0.417923	+	0.908483i	$0.362758\pi$
$908$	−16.9422	+	52.1426i	−0.562245	+	1.73041i
$909$	18.8136	−	21.5265i	0.624009	−	0.713990i
$910$	−3.55618	−	2.58372i	−0.117886	−	0.0856494i
$911$	−38.2237	+	42.4518i	−1.26641	+	1.40649i	−0.392973	+	0.919550i	$0.628553\pi$
$911$	−38.2237	+	42.4518i	−1.26641	+	1.40649i	−0.873436	+	0.486939i	$0.838113\pi$
$912$	−1.88211	+	4.31283i	−0.0623228	+	0.142812i
$913$	36.1894	+	26.2937i	1.19769	+	0.870195i
$914$	3.73747	−	6.47348i	0.123624	−	0.214124i
$915$	−1.47599	+	2.06344i	−0.0487947	+	0.0682153i
$916$	0.187172	−	1.78082i	0.00618432	−	0.0588399i
$917$	−8.37786	+	6.08687i	−0.276661	+	0.201006i
$918$	64.5883	−	39.2257i	2.13173	−	1.29464i
$919$	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	$0.0118424\pi$
$920$	4.34269	+	1.93349i	0.143174	+	0.0637454i
$921$	0.296280	+	40.0654i	0.00976275	+	1.32020i
$922$	−59.9725	−	12.7475i	−1.97509	−	0.419818i
$923$	−6.15009	+	10.6523i	−0.202433	+	0.350624i
$924$	−11.5371	−	25.4061i	−0.379541	−	0.835799i
$925$	2.07615	+	3.59600i	0.0682634	+	0.118236i
$926$	2.61125	+	8.03660i	0.0858109	+	0.264099i
$927$	3.41066	+	28.4028i	0.112021	+	0.932872i
$928$	10.8784	−	7.90359i	0.357100	−	0.259448i
$929$	7.20288	−	1.53102i	0.236319	−	0.0502311i	−0.0882298	−	0.996100i	$-0.528121\pi$
$929$	7.20288	−	1.53102i	0.236319	−	0.0502311i	0.324549	+	0.945869i	$0.394788\pi$
$930$	2.44869	−	11.9542i	0.0802958	−	0.391993i
$931$	1.61515	+	15.3671i	0.0529343	+	0.503636i
$932$	−32.0720	+	14.2794i	−1.05055	+	0.467737i
$933$	14.6205	+	32.1953i	0.478653	+	1.05403i
$934$	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	$0.619299\pi$
$938$	3.44213	−	32.7496i	0.112389	−	1.06931i
$939$	12.6841	+	57.5773i	0.413931	+	1.87896i
$940$	5.41225	+	6.01091i	0.176528	+	0.196054i
$941$	−37.5574	−	41.7118i	−1.22434	−	1.35976i	−0.912209	−	0.409725i	$-0.865625\pi$
$941$	−37.5574	−	41.7118i	−1.22434	−	1.35976i	−0.312128	−	0.950040i	$-0.601042\pi$
$942$	−7.75762	−	2.45733i	−0.252757	−	0.0800642i
$943$	−1.82847	+	17.3967i	−0.0595432	+	0.566516i
$944$	−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	$0.766719\pi$
$948$	−11.6698	+	16.3144i	−0.379016	+	0.529867i
$949$	16.2633	−	7.24091i	0.527930	−	0.235050i
$950$	3.69502	+	35.1558i	0.119882	+	1.14060i
$951$	−35.5286	−	31.5175i	−1.15209	−	1.02203i
$952$	−28.7386	+	6.10858i	−0.931424	+	0.197980i
$953$	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	$0.176839\pi$
$954$	−42.9337	−	18.3594i	−1.39003	−	0.594408i
$955$	−1.26256	−	3.88576i	−0.0408555	−	0.125740i
$956$	16.5067	+	28.5904i	0.533864	+	0.924680i
$957$	−15.9605	+	5.31648i	−0.515928	+	0.171857i
$958$	0.182825	−	0.316662i	0.00590680	−	0.0102309i
$959$	13.6076	+	2.89239i	0.439413	+	0.0934001i
$960$	−5.94448	−	3.37369i	−0.191857	−	0.108885i
$961$	54.8540	+	24.4226i	1.76949	+	0.787826i
$962$	2.55995	−	7.87872i	0.0825362	−	0.254020i
$963$	12.6877	+	8.93447i	0.408855	+	0.287909i
$964$	0.772163	−	0.561009i	0.0248697	−	0.0180689i
$965$	−0.767170	+	7.29913i	−0.0246961	+	0.234967i
$966$	−25.7445	−	2.51352i	−0.828314	−	0.0808712i
$967$	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	$-0.184495\pi$
$968$	24.4157	−	27.1153i	0.784752	−	0.871519i
$969$	19.8932	+	26.9591i	0.639062	+	0.866052i
$970$	2.59742	−	2.88473i	0.0833981	−	0.0926230i
$971$	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	$0.676892\pi$
$972$	52.8438	−	7.53815i	1.69497	−	0.241786i
$973$	4.15409	−	12.7850i	0.133174	−	0.409867i
$974$	−40.8385	+	8.68049i	−1.30855	+	0.278141i
$975$	−33.9541	−	10.7554i	−1.08740	−	0.344449i
$976$	3.70167	−	1.64809i	0.118487	−	0.0527540i
$977$	26.4484	+	5.62178i	0.846159	+	0.179857i	0.610537	−	0.791988i	$-0.290954\pi$
$977$	26.4484	+	5.62178i	0.846159	+	0.179857i	0.235623	+	0.971845i	$0.424287\pi$
$978$	2.54994	−	5.84317i	0.0815382	−	0.186844i
$979$	5.98627	+	6.64856i	0.191322	+	0.212489i
$980$	5.41462			0.172964
$981$	−43.4253	+	0.642286i	−1.38646	+	0.0205066i
$982$	12.5261	+	9.10076i	0.399725	+	0.290417i
$983$	9.71793	+	4.32670i	0.309954	+	0.138000i	0.555818	−	0.831304i	$-0.312405\pi$
$983$	9.71793	+	4.32670i	0.309954	+	0.138000i	−0.245864	+	0.969304i	$0.579072\pi$
$984$	−4.46142	+	21.7800i	−0.142225	+	0.694322i
$985$	−0.228602	−	0.253888i	−0.00728385	−	0.00808953i
$986$	4.45163	+	42.3545i	0.141769	+	1.34884i
$987$	−15.9210	−	9.03570i	−0.506772	−	0.287609i
$988$	29.7907	−	33.0859i	0.947768	−	1.05260i
$989$	−16.0614			−0.510723
$990$	4.99584	+	5.38619i	0.158778	+	0.171184i
$991$	−18.7938			−0.597005			−0.298502	−	0.954409i	$-0.596487\pi$
$991$	−18.7938			−0.597005			−0.298502	+	0.954409i	$0.596487\pi$
$992$	29.3162	−	32.5590i	0.930792	−	1.03375i
$993$	−26.8428	+	15.7635i	−0.851831	+	0.500240i
$994$	1.01205	+	9.62897i	0.0321001	+	0.305412i
$995$	−3.48541	−	3.87094i	−0.110495	−	0.122717i
$996$	75.8938	−	25.2814i	2.40479	−	0.801071i
$997$	−23.8686	−	10.6270i	−0.755926	−	0.336560i	−0.00767052	−	0.999971i	$-0.502442\pi$
$997$	−23.8686	−	10.6270i	−0.755926	−	0.336560i	−0.748256	+	0.663411i	$0.769108\pi$
$998$	−63.9637	−	46.4723i	−2.02473	−	1.47106i
$999$	2.66683	+	3.50438i	0.0843747	+	0.110874i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.1	✓	72	9.7	even	3	inner
99.2.m.b.31.1	yes	72	11.9	even	5	inner
99.2.m.b.49.9	yes	72	1.1	even	1	trivial
99.2.m.b.97.9	yes	72	99.97	even	15	inner
297.2.n.b.64.9		72	33.20	odd	10
297.2.n.b.181.9		72	9.2	odd	6
297.2.n.b.262.1		72	99.20	odd	30
297.2.n.b.280.1		72	3.2	odd	2
891.2.f.e.82.1		36	9.5	odd	6
891.2.f.e.163.1		36	99.86	odd	30
891.2.f.f.82.9		36	9.4	even	3
891.2.f.f.163.9		36	99.31	even	15
1089.2.e.o.364.18		36	11.8	odd	10
1089.2.e.o.727.18		36	99.52	odd	30
1089.2.e.p.364.1		36	11.3	even	5
1089.2.e.p.727.1		36	99.25	even	15
9801.2.a.cm.1.18		18	99.58	even	15
9801.2.a.cn.1.18		18	99.41	even	30
9801.2.a.co.1.1		18	99.85	odd	30
9801.2.a.cp.1.1		18	99.14	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+(1.55841 - 1.73079i) q^{2} +(0.0128080 + 1.73200i) q^{3} +(-0.357932 - 3.40549i) q^{4} +(-0.212128 - 0.235592i) q^{5} +(3.01769 + 2.67700i) q^{6} +(-1.29586 - 0.576953i) q^{7} +(-2.68358 - 1.94973i) q^{8} +(-2.99967 + 0.0443670i) q^{9} -0.738340 q^{10} +(2.21923 + 2.46476i) q^{11} +(5.89374 - 0.663556i) q^{12} +(-4.10532 - 0.872613i) q^{13} +(-3.01805 + 1.34372i) q^{14} +(0.405329 - 0.370423i) q^{15} +(-0.857827 + 0.182337i) q^{16} +(-1.92957 + 5.93860i) q^{17} +(-4.59792 + 5.26093i) q^{18} +(-2.50622 - 1.82087i) q^{19} +(-0.726379 + 0.806725i) q^{20} +(0.982687 - 2.25182i) q^{21} +(7.72443 + 7.98214e-5i) q^{22} +(2.26025 - 3.91487i) q^{23} +(3.34257 - 4.67294i) q^{24} +(0.512137 - 4.87266i) q^{25} +(-7.90807 + 5.74555i) q^{26} +(-0.115264 - 5.19487i) q^{27} +(-1.50098 + 4.61954i) q^{28} +(2.67527 + 1.19111i) q^{29} +(-0.00945666 - 1.27881i) q^{30} +(9.33325 + 1.98384i) q^{31} +(2.29583 - 3.97649i) q^{32} +(-4.24054 + 3.87528i) q^{33} +(7.27140 + 12.5944i) q^{34} +(0.138962 + 0.427681i) q^{35} +(1.22477 + 10.1995i) q^{36} +(-0.685637 + 0.498145i) q^{37} +(-7.05725 + 1.50006i) q^{38} +(1.45879 - 7.12161i) q^{39} +(0.109920 + 1.04582i) q^{40} +(-3.53506 + 1.57391i) q^{41} +(-2.36599 - 5.21007i) 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} +(0.778841 - 7.41018i) q^{47} +(-0.326795 - 1.48342i) q^{48} +(-3.33754 - 3.70672i) q^{49} +(-7.63541 - 8.47998i) q^{50} +(-10.3104 - 3.26596i) q^{51} +(-1.50225 + 14.2930i) 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} +(3.12166 - 4.36410i) q^{57} +(6.23070 - 2.77409i) q^{58} +(1.26216 + 12.0086i) q^{59} +(-1.40655 - 1.24776i) q^{60} +(-4.51935 + 0.960618i) q^{61} +(17.9786 - 13.0622i) q^{62} +(3.91274 + 1.67318i) q^{63} +(-3.84663 - 11.8387i) q^{64} +(0.665272 + 1.15229i) q^{65} +(0.0987962 + 13.3787i) q^{66} +(-4.98385 + 8.63229i) q^{67} +(20.9145 + 4.44552i) q^{68} +(6.80951 + 3.86462i) q^{69} +(0.956783 + 0.425987i) q^{70} +(0.905630 - 2.78724i) q^{71} +(8.13635 + 5.72949i) q^{72} +(-3.43158 + 2.49319i) q^{73} +(-0.206320 + 1.96300i) q^{74} +(8.44602 + 0.824614i) q^{75} +(-5.30392 + 9.18665i) q^{76} +(-1.45376 - 4.47436i) q^{77} +(-10.0526 - 13.6232i) q^{78} +(-2.26299 + 2.51331i) q^{79} +(0.224926 + 0.163418i) q^{80} +(8.99606 - 0.266173i) q^{81} +(-2.78496 + 8.57123i) q^{82} +(13.1927 - 2.80420i) q^{83} +(-8.02029 - 2.54054i) q^{84} +(1.80840 - 0.805152i) q^{85} +(-8.09416 - 1.72047i) q^{86} +(-2.02873 + 4.64883i) q^{87} +(-1.14986 - 10.9413i) q^{88} +2.69745 q^{89} +(2.21478 - 0.0327579i) q^{90} +(4.81645 + 3.49936i) q^{91} +(-14.1411 - 6.29601i) q^{92} +(-3.31648 + 16.1906i) q^{93} +(-11.6117 - 12.8961i) q^{94} +(0.102656 + 0.976702i) q^{95} +(6.91669 + 3.92545i) q^{96} +(-3.51792 + 3.90704i) q^{97} -11.6168 q^{98} +(-6.76631 - 7.29500i) 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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