LMFDB - Embedded newform 99.2.m.b.25.5

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			25.5
Character	$\chi$	$=$	99.25
Dual form			99.2.m.b.4.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0512706 + 0.487807i) q^{2} +(-1.72269 + 0.179809i) q^{3} +(1.72097 - 0.365803i) q^{4} +(-0.178553 + 1.69882i) q^{5} +(-0.176036 - 0.831122i) q^{6} +(2.28209 + 2.53451i) q^{7} +(0.569818 + 1.75372i) q^{8} +(2.93534 - 0.619512i) q^{9} -0.837851 q^{10} +(-2.17733 - 2.50184i) q^{11} +(-2.89892 + 0.939612i) q^{12} +(-3.65228 - 1.62610i) q^{13} +(-1.11935 + 1.24316i) q^{14} +(0.00212861 - 2.95865i) q^{15} +(2.38835 - 1.06336i) q^{16} +(2.67346 + 1.94238i) q^{17} +(0.452699 + 1.40012i) q^{18} +(-1.36513 - 4.20144i) q^{19} +(0.314149 + 2.98893i) q^{20} +(-4.38706 - 3.95584i) q^{21} +(1.10878 - 1.19039i) q^{22} +(-3.74601 - 6.48827i) q^{23} +(-1.29696 - 2.91866i) q^{24} +(2.03663 + 0.432899i) q^{25} +(0.605969 - 1.86498i) q^{26} +(-4.94529 + 1.59503i) q^{27} +(4.85453 + 3.52702i) q^{28} +(1.13169 + 1.25687i) q^{29} +(1.44336 - 0.150653i) q^{30} +(-3.56147 - 1.58567i) q^{31} +(2.48514 + 4.30439i) q^{32} +(4.20073 + 3.91840i) q^{33} +(-0.810437 + 1.40372i) q^{34} +(-4.71315 + 3.42431i) q^{35} +(4.82500 - 2.13992i) q^{36} +(0.947300 - 2.91549i) q^{37} +(1.97950 - 0.881330i) q^{38} +(6.58415 + 2.14456i) q^{39} +(-3.08100 + 0.654886i) q^{40} +(0.261546 - 0.290476i) q^{41} +(1.70476 - 2.34286i) q^{42} +(-4.80634 + 8.32483i) q^{43} +(-4.66230 - 3.50912i) q^{44} +(0.528325 + 5.09722i) q^{45} +(2.97296 - 2.15999i) q^{46} +(1.05665 + 0.224598i) q^{47} +(-3.92319 + 2.26129i) q^{48} +(-0.484141 + 4.60629i) q^{49} +(-0.106752 + 1.01568i) q^{50} +(-4.95480 - 2.86541i) q^{51} +(-6.88030 - 1.46245i) q^{52} +(10.1643 - 7.38480i) q^{53} +(-1.03161 - 2.33057i) q^{54} +(4.63895 - 3.25218i) q^{55} +(-3.14445 + 5.44635i) q^{56} +(3.10715 + 6.99232i) q^{57} +(-0.555089 + 0.616488i) q^{58} +(3.57664 - 0.760238i) q^{59} +(-1.07862 - 5.09252i) q^{60} +(-3.52005 + 1.56723i) q^{61} +(0.590902 - 1.81861i) q^{62} +(8.26885 + 6.02587i) q^{63} +(2.25785 - 1.64043i) q^{64} +(3.41458 - 5.91423i) q^{65} +(-1.69605 + 2.25004i) q^{66} +(-1.55060 - 2.68572i) q^{67} +(5.31146 + 2.36482i) q^{68} +(7.61987 + 10.5037i) q^{69} +(-1.91205 - 2.12354i) q^{70} +(-5.67699 - 4.12458i) q^{71} +(2.75906 + 4.79475i) q^{72} +(-4.64842 + 14.3064i) q^{73} +(1.47077 + 0.312621i) q^{74} +(-3.58633 - 0.379547i) q^{75} +(-3.88624 - 6.73117i) q^{76} +(1.37210 - 11.2279i) q^{77} +(-0.708557 + 3.32175i) q^{78} +(0.418023 + 3.97722i) q^{79} +(1.38001 + 4.24724i) q^{80} +(8.23241 - 3.63695i) q^{81} +(0.155106 + 0.112691i) q^{82} +(-0.114162 + 0.0508282i) q^{83} +(-8.99705 - 5.20308i) q^{84} +(-3.77711 + 4.19490i) q^{85} +(-4.30733 - 1.91775i) q^{86} +(-2.17556 - 1.96172i) q^{87} +(3.14685 - 5.24403i) q^{88} -7.93327 q^{89} +(-2.45937 + 0.519059i) q^{90} +(-4.21345 - 12.9677i) q^{91} +(-8.82019 - 9.79581i) q^{92} +(6.42044 + 2.09123i) q^{93} +(-0.0553855 + 0.526958i) q^{94} +(7.38123 - 1.56893i) q^{95} +(-5.05510 - 6.96828i) q^{96} +(-0.0358699 - 0.341280i) q^{97} -2.27180 q^{98} +(-7.94113 - 5.99487i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.0512706	+	0.487807i	0.0362538	+	0.344932i	0.997580	+	0.0695211i	$0.0221471\pi$
$2$	0.0512706	+	0.487807i	0.0362538	+	0.344932i	−0.961327	+	0.275411i	$0.911186\pi$
$3$	−1.72269	+	0.179809i	−0.994597	+	0.103813i
$3$	−1.72269	+	0.179809i	−0.994597	+	0.103813i
$4$	1.72097	−	0.365803i	0.860484	−	0.182902i
$5$	−0.178553	+	1.69882i	−0.0798514	+	0.759735i	0.879190	+	0.476471i	$0.158084\pi$
$5$	−0.178553	+	1.69882i	−0.0798514	+	0.759735i	−0.959042	+	0.283265i	$0.908583\pi$
$6$	−0.176036	−	0.831122i	−0.0718663	−	0.339304i
$7$	2.28209	+	2.53451i	0.862547	+	0.957956i	0.999468	−	0.0326264i	$-0.0103872\pi$
$7$	2.28209	+	2.53451i	0.862547	+	0.957956i	−0.136921	+	0.990582i	$0.543720\pi$
$8$	0.569818	+	1.75372i	0.201461	+	0.620034i
$9$	2.93534	−	0.619512i	0.978446	−	0.206504i
$10$	−0.837851			−0.264952
$11$	−2.17733	−	2.50184i	−0.656490	−	0.754334i
$11$	−2.17733	−	2.50184i	−0.656490	−	0.754334i
$12$	−2.89892	+	0.939612i	−0.836847	+	0.271243i
$13$	−3.65228	−	1.62610i	−1.01296	−	0.451000i	−0.167977	−	0.985791i	$-0.553724\pi$
$13$	−3.65228	−	1.62610i	−1.01296	−	0.451000i	−0.844984	+	0.534791i	$0.820390\pi$
$14$	−1.11935	+	1.24316i	−0.299159	+	0.332249i
$15$	0.00212861	−	2.95865i	0.000549604	−	0.763920i
$16$	2.38835	−	1.06336i	0.597088	−	0.265840i
$17$	2.67346	+	1.94238i	0.648409	+	0.471097i	0.862729	−	0.505667i	$-0.168754\pi$
$17$	2.67346	+	1.94238i	0.648409	+	0.471097i	−0.214320	+	0.976763i	$0.568754\pi$
$18$	0.452699	+	1.40012i	0.106702	+	0.330010i
$19$	−1.36513	−	4.20144i	−0.313182	−	0.963875i	−0.976496	−	0.215534i	$-0.930851\pi$
$19$	−1.36513	−	4.20144i	−0.313182	−	0.963875i	0.663314	−	0.748341i	$-0.269149\pi$
$20$	0.314149	+	2.98893i	0.0702459	+	0.668345i
$21$	−4.38706	−	3.95584i	−0.957335	−	0.863236i
$22$	1.10878	−	1.19039i	0.236394	−	0.253792i
$23$	−3.74601	−	6.48827i	−0.781096	−	1.35290i	−0.931304	−	0.364244i	$-0.881328\pi$
$23$	−3.74601	−	6.48827i	−0.781096	−	1.35290i	0.150208	−	0.988654i	$-0.452006\pi$
$24$	−1.29696	−	2.91866i	−0.264740	−	0.595769i
$25$	2.03663	+	0.432899i	0.407326	+	0.0865799i
$26$	0.605969	−	1.86498i	0.118840	−	0.365753i
$27$	−4.94529	+	1.59503i	−0.951721	+	0.306964i
$28$	4.85453	+	3.52702i	0.917420	+	0.666544i
$29$	1.13169	+	1.25687i	0.210150	+	0.233395i	0.839000	−	0.544131i	$-0.183141\pi$
$29$	1.13169	+	1.25687i	0.210150	+	0.233395i	−0.628850	+	0.777527i	$0.716474\pi$
$30$	1.44336	−	0.150653i	0.263520	−	0.0275054i
$31$	−3.56147	−	1.58567i	−0.639659	−	0.284795i	0.0611661	−	0.998128i	$-0.480518\pi$
$31$	−3.56147	−	1.58567i	−0.639659	−	0.284795i	−0.700825	+	0.713333i	$0.747185\pi$
$32$	2.48514	+	4.30439i	0.439315	+	0.760915i
$33$	4.20073	+	3.91840i	0.731253	+	0.682106i
$34$	−0.810437	+	1.40372i	−0.138989	+	0.240736i
$35$	−4.71315	+	3.42431i	−0.796668	+	0.578813i
$36$	4.82500	−	2.13992i	0.804167	−	0.356653i
$37$	0.947300	−	2.91549i	0.155735	−	0.479304i	−0.842499	−	0.538697i	$-0.818917\pi$
$37$	0.947300	−	2.91549i	0.155735	−	0.479304i	0.998235	+	0.0593935i	$0.0189167\pi$
$38$	1.97950	−	0.881330i	0.321117	−	0.142971i
$39$	6.58415	+	2.14456i	1.05431	+	0.343404i
$40$	−3.08100	+	0.654886i	−0.487148	+	0.103547i
$41$	0.261546	−	0.290476i	0.0408467	−	0.0453648i	−0.722375	−	0.691501i	$-0.756950\pi$
$41$	0.261546	−	0.290476i	0.0408467	−	0.0453648i	0.763222	+	0.646136i	$0.223616\pi$
$42$	1.70476	−	2.34286i	0.263050	−	0.361511i
$43$	−4.80634	+	8.32483i	−0.732960	+	1.26952i	0.222652	+	0.974898i	$0.428529\pi$
$43$	−4.80634	+	8.32483i	−0.732960	+	1.26952i	−0.955613	+	0.294626i	$0.904805\pi$
$44$	−4.66230	−	3.50912i	−0.702869	−	0.529020i
$45$	0.528325	+	5.09722i	0.0787581	+	0.759849i
$46$	2.97296	−	2.15999i	0.438340	−	0.318472i
$47$	1.05665	+	0.224598i	0.154129	+	0.0327610i	0.284330	−	0.958727i	$-0.408229\pi$
$47$	1.05665	+	0.224598i	0.154129	+	0.0327610i	−0.130201	+	0.991488i	$0.541562\pi$
$48$	−3.92319	+	2.26129i	−0.566264	+	0.326390i
$49$	−0.484141	+	4.60629i	−0.0691630	+	0.658042i
$50$	−0.106752	+	1.01568i	−0.0150970	+	0.143639i
$51$	−4.95480	−	2.86541i	−0.693811	−	0.401238i
$52$	−6.88030	−	1.46245i	−0.954126	−	0.202806i
$53$	10.1643	−	7.38480i	1.39618	−	1.01438i	0.401020	−	0.916069i	$-0.368656\pi$
$53$	10.1643	−	7.38480i	1.39618	−	1.01438i	0.995156	−	0.0983117i	$-0.0313442\pi$
$54$	−1.03161	−	2.33057i	−0.140385	−	0.317150i
$55$	4.63895	−	3.25218i	0.625516	−	0.438524i
$56$	−3.14445	+	5.44635i	−0.420195	+	0.727799i
$57$	3.10715	+	6.99232i	0.411553	+	0.926155i
$58$	−0.555089	+	0.616488i	−0.0728867	+	0.0809489i
$59$	3.57664	−	0.760238i	0.465639	−	0.0989746i	0.0308830	−	0.999523i	$-0.490168\pi$
$59$	3.57664	−	0.760238i	0.465639	−	0.0989746i	0.434756	+	0.900548i	$0.356835\pi$
$60$	−1.07862	−	5.09252i	−0.139249	−	0.657441i
$61$	−3.52005	+	1.56723i	−0.450696	+	0.200663i	−0.619516	−	0.784984i	$-0.712671\pi$
$61$	−3.52005	+	1.56723i	−0.450696	+	0.200663i	0.168820	+	0.985647i	$0.446004\pi$
$62$	0.590902	−	1.81861i	0.0750446	−	0.230964i
$63$	8.26885	+	6.02587i	1.04178	+	0.759188i
$64$	2.25785	−	1.64043i	0.282232	−	0.205053i
$65$	3.41458	−	5.91423i	0.423527	−	0.733570i
$66$	−1.69605	+	2.25004i	−0.208769	+	0.276961i
$67$	−1.55060	−	2.68572i	−0.189436	−	0.328113i	0.755626	−	0.655003i	$-0.227333\pi$
$67$	−1.55060	−	2.68572i	−0.189436	−	0.328113i	−0.945062	+	0.326890i	$0.893999\pi$
$68$	5.31146	+	2.36482i	0.644110	+	0.286776i
$69$	7.61987	+	10.5037i	0.917324	+	1.26450i
$70$	−1.91205	−	2.12354i	−0.228533	−	0.253812i
$71$	−5.67699	−	4.12458i	−0.673735	−	0.489497i	0.197538	−	0.980295i	$-0.436705\pi$
$71$	−5.67699	−	4.12458i	−0.673735	−	0.489497i	−0.871273	+	0.490798i	$0.836705\pi$
$72$	2.75906	+	4.79475i	0.325158	+	0.565067i
$73$	−4.64842	+	14.3064i	−0.544057	+	1.67443i	0.179165	+	0.983819i	$0.442660\pi$
$73$	−4.64842	+	14.3064i	−0.544057	+	1.67443i	−0.723222	+	0.690615i	$0.757340\pi$
$74$	1.47077	+	0.312621i	0.170973	+	0.0363414i
$75$	−3.58633	−	0.379547i	−0.414114	−	0.0438263i
$76$	−3.88624	−	6.73117i	−0.445783	−	0.772118i
$77$	1.37210	−	11.2279i	0.156365	−	1.27954i
$78$	−0.708557	+	3.32175i	−0.0802283	+	0.376114i
$79$	0.418023	+	3.97722i	0.0470313	+	0.447473i	0.992544	+	0.121887i	$0.0388946\pi$
$79$	0.418023	+	3.97722i	0.0470313	+	0.447473i	−0.945513	+	0.325585i	$0.894439\pi$
$80$	1.38001	+	4.24724i	0.154290	+	0.474856i
$81$	8.23241	−	3.63695i	0.914712	−	0.404106i
$82$	0.155106	+	0.112691i	0.0171286	+	0.0124447i
$83$	−0.114162	+	0.0508282i	−0.0125309	+	0.00557912i	−0.412993	−	0.910734i	$-0.635516\pi$
$83$	−0.114162	+	0.0508282i	−0.0125309	+	0.00557912i	0.400462	+	0.916314i	$0.368850\pi$
$84$	−8.99705	−	5.20308i	−0.981659	−	0.567703i
$85$	−3.77711	+	4.19490i	−0.409685	+	0.455001i
$86$	−4.30733	−	1.91775i	−0.464472	−	0.206796i
$87$	−2.17556	−	1.96172i	−0.233244	−	0.210318i
$88$	3.14685	−	5.24403i	0.335455	−	0.559015i
$89$	−7.93327			−0.840925			−0.420462	−	0.907310i	$-0.638132\pi$
$89$	−7.93327			−0.840925			−0.420462	+	0.907310i	$0.638132\pi$
$90$	−2.45937	+	0.519059i	−0.259241	+	0.0547136i
$91$	−4.21345	−	12.9677i	−0.441690	−	1.35938i
$92$	−8.82019	−	9.79581i	−0.919568	−	1.02128i
$93$	6.42044	+	2.09123i	0.665768	+	0.216851i
$94$	−0.0553855	+	0.526958i	−0.00571258	+	0.0543515i
$95$	7.38123	−	1.56893i	0.757298	−	0.160969i
$96$	−5.05510	−	6.96828i	−0.515934	−	0.711197i
$97$	−0.0358699	−	0.341280i	−0.00364204	−	0.0346517i	0.992550	−	0.121838i	$-0.0388790\pi$
$97$	−0.0358699	−	0.341280i	−0.00364204	−	0.0346517i	−0.996192	+	0.0871867i	$0.972212\pi$
$98$	−2.27180			−0.229487
$99$	−7.94113	−	5.99487i	−0.798113	−	0.602507i
$100$	3.66333			0.366333
$101$	−0.743781	−	7.07660i	−0.0740090	−	0.704148i	−0.967121	−	0.254315i	$-0.918150\pi$
$101$	−0.743781	−	7.07660i	−0.0740090	−	0.704148i	0.893112	−	0.449833i	$-0.148517\pi$
$102$	1.14373	−	2.56390i	0.113246	−	0.253864i
$103$	1.61814	−	0.343946i	0.159440	−	0.0338900i	−0.127500	−	0.991839i	$-0.540695\pi$
$103$	1.61814	−	0.343946i	0.159440	−	0.0338900i	0.286940	+	0.957949i	$0.407362\pi$
$104$	0.770589	−	7.33167i	0.0755625	−	0.718929i
$105$	7.50359	−	6.74649i	0.732275	−	0.658390i
$106$	4.12349	+	4.57960i	0.400509	+	0.444810i
$107$	1.02187	+	3.14498i	0.0987876	+	0.304037i	0.988222	−	0.153025i	$-0.0489016\pi$
$107$	1.02187	+	3.14498i	0.0987876	+	0.304037i	−0.889435	+	0.457062i	$0.848902\pi$
$108$	−7.92722	+	4.55400i	−0.762797	+	0.438209i
$109$	−5.50709			−0.527484			−0.263742	−	0.964593i	$-0.584957\pi$
$109$	−5.50709			−0.527484			−0.263742	+	0.964593i	$0.584957\pi$
$110$	1.82428	+	2.09617i	0.173938	+	0.199862i
$111$	−1.10767	+	5.19283i	−0.105136	+	0.492881i
$112$	8.14552	+	3.62662i	0.769680	+	0.342683i
$113$	−10.9799	+	12.1944i	−1.03290	+	1.14716i	−0.0439343	+	0.999034i	$0.513989\pi$
$113$	−10.9799	+	12.1944i	−1.03290	+	1.14716i	−0.988969	+	0.148121i	$0.952677\pi$
$114$	−3.25160	+	1.87419i	−0.304540	+	0.175534i
$115$	11.6913	−	5.20529i	1.09022	−	0.485395i
$116$	2.40738	+	1.74906i	0.223519	+	0.162396i
$117$	−11.7281	−	2.51052i	−1.08426	−	0.232098i
$118$	0.554226	+	1.70573i	0.0510206	+	0.157025i
$119$	1.17807	+	11.2086i	0.107994	+	1.02749i
$120$	5.18986	−	1.68216i	0.473767	−	0.153559i
$121$	−1.51845	+	10.8947i	−0.138040	+	0.990427i
$122$	−0.944980	−	1.63675i	−0.0855545	−	0.148185i
$123$	−0.398333	+	0.547430i	−0.0359165	+	0.0493601i
$124$	−6.70922	−	1.42609i	−0.602506	−	0.128067i
$125$	−3.73834	+	11.5054i	−0.334368	+	1.02908i
$126$	−2.51551	+	4.34255i	−0.224100	+	0.386865i
$127$	−8.73327	−	6.34509i	−0.774952	−	0.563036i	0.128508	−	0.991709i	$-0.458981\pi$
$127$	−8.73327	−	6.34509i	−0.774952	−	0.563036i	−0.903460	+	0.428673i	$0.858981\pi$
$128$	7.56750	+	8.40456i	0.668879	+	0.742865i
$129$	6.78297	−	15.2053i	0.597207	−	1.33876i
$130$	3.06007	+	1.36243i	0.268386	+	0.119493i
$131$	10.5778	+	18.3213i	0.924189	+	1.60074i	0.792860	+	0.609404i	$0.208591\pi$
$131$	10.5778	+	18.3213i	0.924189	+	1.60074i	0.131329	+	0.991339i	$0.458075\pi$
$132$	8.66268	+	5.20681i	0.753990	+	0.453194i
$133$	7.53325	−	13.0480i	0.653216	−	1.13140i
$134$	1.23061	−	0.894092i	0.106309	−	0.0772378i
$135$	−1.82667	−	8.68595i	−0.157215	−	0.747568i
$136$	−1.88301	+	5.79530i	−0.161467	+	0.496943i
$137$	2.92382	−	1.30177i	0.249799	−	0.111218i	−0.278018	−	0.960576i	$-0.589677\pi$
$137$	2.92382	−	1.30177i	0.249799	−	0.111218i	0.527817	+	0.849358i	$0.323011\pi$
$138$	−4.73312	+	4.25556i	−0.402910	+	0.362257i
$139$	14.6660	−	3.11735i	1.24395	−	0.264411i	0.461512	−	0.887134i	$-0.347307\pi$
$139$	14.6660	−	3.11735i	1.24395	−	0.264411i	0.782442	+	0.622723i	$0.213974\pi$
$140$	−6.85856	+	7.61721i	−0.579654	+	0.643771i
$141$	−1.86067	−	0.196918i	−0.156697	−	0.0165835i
$142$	1.72094	−	2.98075i	0.144418	−	0.250139i
$143$	3.88399	+	12.6780i	0.324795	+	1.06019i
$144$	6.35185	−	4.60094i	0.529321	−	0.383411i
$145$	−2.33727	+	1.69812i	−0.194099	+	0.141021i
$146$	−7.21708	−	1.53404i	−0.597290	−	0.126958i
$147$	0.00577165	−	8.02228i	0.000476037	−	0.661666i
$148$	0.563778	−	5.36399i	0.0463423	−	0.440917i
$149$	−0.423458	+	4.02893i	−0.0346910	+	0.330063i	0.963388	+	0.268111i	$0.0863993\pi$
$149$	−0.423458	+	4.02893i	−0.0346910	+	0.330063i	−0.998079	+	0.0619522i	$0.980267\pi$
$150$	0.00127264	−	1.76890i	0.000103910	−	0.144430i
$151$	7.62367	+	1.62046i	0.620405	+	0.131871i	0.507382	−	0.861721i	$-0.330613\pi$
$151$	7.62367	+	1.62046i	0.620405	+	0.131871i	0.113023	+	0.993592i	$0.463947\pi$
$152$	6.59027	−	4.78811i	0.534541	−	0.388367i
$153$	9.05083	+	4.04530i	0.731716	+	0.327043i
$154$	5.54740	+	0.0936570i	0.447022	+	0.00754709i
$155$	3.32968	−	5.76717i	0.267446	−	0.463230i
$156$	12.1156	+	1.28221i	0.970024	+	0.102659i
$157$	0.206863	−	0.229745i	0.0165095	−	0.0183356i	−0.734834	−	0.678248i	$-0.762740\pi$
$157$	0.206863	−	0.229745i	0.0165095	−	0.0183356i	0.751343	+	0.659912i	$0.229406\pi$
$158$	−1.91868	+	0.407829i	−0.152642	+	0.0324451i
$159$	−16.1821	+	14.5494i	−1.28333	+	1.15384i
$160$	−7.75610	+	3.45324i	−0.613174	+	0.273003i
$161$	7.89590	−	24.3011i	0.622284	−	1.91519i
$162$	2.19621	+	3.82936i	0.172551	+	0.300863i
$163$	−8.89442	+	6.46217i	−0.696665	+	0.506157i	−0.878844	−	0.477109i	$-0.841685\pi$
$163$	−8.89442	+	6.46217i	−0.696665	+	0.506157i	0.182179	+	0.983265i	$0.441685\pi$
$164$	0.343855	−	0.595575i	0.0268506	−	0.0465066i
$165$	−7.40671	+	6.43664i	−0.576612	+	0.501092i
$166$	−0.0306475	−	0.0530830i	−0.00237871	−	0.00412004i
$167$	−16.0545	−	7.14793i	−1.24234	−	0.553124i	−0.322926	−	0.946424i	$-0.604667\pi$
$167$	−16.0545	−	7.14793i	−1.24234	−	0.553124i	−0.919410	+	0.393300i	$0.871333\pi$
$168$	4.43762	−	9.94779i	0.342370	−	0.767489i
$169$	1.99628	+	2.21709i	0.153560	+	0.170546i
$170$	−2.23996	−	1.62742i	−0.171797	−	0.124818i
$171$	−6.60995	−	11.4869i	−0.505476	−	0.878426i
$172$	−5.22631	+	16.0849i	−0.398503	+	1.22646i
$173$	−12.0955	−	2.57098i	−0.919605	−	0.195468i	−0.276294	−	0.961073i	$-0.589106\pi$
$173$	−12.0955	−	2.57098i	−0.919605	−	0.195468i	−0.643311	+	0.765605i	$0.722440\pi$
$174$	0.845396	−	1.16183i	0.0640893	−	0.0880781i
$175$	3.55058	+	6.14978i	0.268398	+	0.464880i
$176$	−7.86060	−	3.65999i	−0.592515	−	0.275882i
$177$	−6.02475	+	1.95277i	−0.452848	+	0.146779i
$178$	−0.406743	−	3.86990i	−0.0304867	−	0.290061i
$179$	6.76200	+	20.8113i	0.505416	+	1.55551i	0.800071	+	0.599906i	$0.204795\pi$
$179$	6.76200	+	20.8113i	0.505416	+	1.55551i	−0.294655	+	0.955604i	$0.595205\pi$
$180$	2.77381	+	8.57890i	0.206748	+	0.639433i
$181$	3.54364	+	2.57460i	0.263396	+	0.191369i	0.711643	−	0.702541i	$-0.247951\pi$
$181$	3.54364	+	2.57460i	0.263396	+	0.191369i	−0.448247	+	0.893910i	$0.647951\pi$
$182$	6.10969	−	2.72021i	0.452880	−	0.201635i
$183$	5.78216	−	3.33279i	0.427430	−	0.246367i
$184$	9.24407	−	10.2666i	0.681482	−	0.756862i
$185$	4.78375	+	2.12986i	0.351708	+	0.156591i
$186$	−0.690939	+	3.23915i	−0.0506621	+	0.237506i
$187$	−0.961474	−	10.9178i	−0.0703099	−	0.798387i
$188$	1.90062			0.138617
$189$	−15.3282	−	8.89390i	−1.11496	−	0.646936i
$190$	1.14377	+	3.52018i	0.0829781	+	0.255380i
$191$	8.37399	+	9.30026i	0.605921	+	0.672943i	0.965570	−	0.260144i	$-0.0837702\pi$
$191$	8.37399	+	9.30026i	0.605921	+	0.672943i	−0.359649	+	0.933088i	$0.617104\pi$
$192$	−3.59462	+	3.23193i	−0.259419	+	0.233245i
$193$	1.31347	−	12.4969i	0.0945460	−	0.899545i	−0.839732	−	0.543000i	$-0.817288\pi$
$193$	1.31347	−	12.4969i	0.0945460	−	0.899545i	0.934278	−	0.356544i	$-0.116045\pi$
$194$	0.164640	−	0.0349952i	0.0118204	−	0.00251251i
$195$	−4.81884	+	10.8024i	−0.345084	+	0.773573i
$196$	0.851805	+	8.10438i	0.0608432	+	0.578885i
$197$	−10.3453			−0.737075			−0.368538	−	0.929613i	$-0.620141\pi$
$197$	−10.3453			−0.737075			−0.368538	+	0.929613i	$0.620141\pi$
$198$	2.51719	−	4.18110i	0.178889	−	0.297138i
$199$	26.4773			1.87693			0.938464	−	0.345376i	$-0.112249\pi$
$199$	26.4773			1.87693			0.938464	+	0.345376i	$0.112249\pi$
$200$	0.401325	+	3.81836i	0.0283780	+	0.269999i
$201$	3.15412	+	4.34785i	0.222475	+	0.306674i
$202$	3.41388	−	0.725643i	0.240200	−	0.0510561i
$203$	−0.602939	+	5.73658i	−0.0423180	+	0.402629i
$204$	−9.57523	−	3.11880i	−0.670401	−	0.218360i
$205$	0.446767	+	0.496185i	0.0312036	+	0.0346551i
$206$	0.250742	+	0.771705i	0.0174700	+	0.0537672i
$207$	−15.0154	−	16.7246i	−1.04364	−	1.16244i
$208$	−10.4521			−0.724721
$209$	−7.53900	+	12.5633i	−0.521483	+	0.869019i
$210$	3.67570	+	3.31441i	0.253647	+	0.228716i
$211$	−6.65418	−	2.96263i	−0.458092	−	0.203956i	0.164699	−	0.986344i	$-0.447335\pi$
$211$	−6.65418	−	2.96263i	−0.458092	−	0.203956i	−0.622791	+	0.782388i	$0.714001\pi$
$212$	14.7911	−	16.4272i	1.01586	−	1.12822i
$213$	10.5214	+	6.08460i	0.720911	+	0.416910i
$214$	−1.48175	+	0.659719i	−0.101291	+	0.0450975i
$215$	−13.2842	−	9.65153i	−0.905974	−	0.658229i
$216$	−5.61515	−	7.76378i	−0.382063	−	0.528258i
$217$	−4.10868	−	12.6452i	−0.278916	−	0.858414i
$218$	−0.282352	−	2.68640i	−0.0191233	−	0.181946i
$219$	5.43538	−	25.4813i	0.367289	−	1.72187i
$220$	6.79383	−	7.29385i	0.458040	−	0.491751i
$221$	−6.60572	−	11.4414i	−0.444349	−	0.769635i
$222$	−2.58989	−	0.274092i	−0.173822	−	0.0183959i
$223$	−22.9963	−	4.88802i	−1.53995	−	0.327326i	−0.641748	−	0.766915i	$-0.721791\pi$
$223$	−22.9963	−	4.88802i	−1.53995	−	0.327326i	−0.898199	+	0.439590i	$0.855124\pi$
$224$	−5.23822	+	16.1216i	−0.349993	+	1.07717i
$225$	6.24639	+	0.00898796i	0.416426	+	0.000599197i
$226$	−6.51148	−	4.73086i	−0.433137	−	0.314692i
$227$	−7.97750	−	8.85991i	−0.529485	−	0.588053i	0.417762	−	0.908557i	$-0.362815\pi$
$227$	−7.97750	−	8.85991i	−0.529485	−	0.588053i	−0.947247	+	0.320503i	$0.896148\pi$
$228$	7.90513	+	10.8970i	0.523530	+	0.721668i
$229$	2.79323	+	1.24363i	0.184582	+	0.0821811i	0.496947	−	0.867781i	$-0.334454\pi$
$229$	2.79323	+	1.24363i	0.184582	+	0.0821811i	−0.312365	+	0.949962i	$0.601121\pi$
$230$	3.13859	+	5.43620i	0.206953	+	0.358453i
$231$	−0.344818	+	19.5889i	−0.0226874	+	1.28886i
$232$	−1.55934	+	2.70086i	−0.102376	+	0.177320i
$233$	19.8463	−	14.4192i	1.30017	−	0.944632i	0.300217	−	0.953871i	$-0.402941\pi$
$233$	19.8463	−	14.4192i	1.30017	−	0.944632i	0.999957	+	0.00923938i	$0.00294103\pi$
$234$	0.623345	−	5.84975i	0.0407494	−	0.382410i
$235$	−0.570221	+	1.75496i	−0.0371971	+	0.114481i
$236$	5.87718	−	2.61669i	0.382572	−	0.170332i
$237$	−1.43527	−	6.77637i	−0.0932306	−	0.440172i
$238$	−5.40723	+	1.14934i	−0.350499	+	0.0745008i
$239$	−4.65088	+	5.16532i	−0.300840	+	0.334117i	−0.874544	−	0.484946i	$-0.838839\pi$
$239$	−4.65088	+	5.16532i	−0.300840	+	0.334117i	0.573704	+	0.819063i	$0.305506\pi$
$240$	−3.14103	−	7.06855i	−0.202753	−	0.456273i
$241$	3.88529	−	6.72952i	0.250274	−	0.433487i	−0.713327	−	0.700831i	$-0.752813\pi$
$241$	3.88529	−	6.72952i	0.250274	−	0.433487i	0.963601	+	0.267344i	$0.0861461\pi$
$242$	−5.39236	−	0.182131i	−0.346634	−	0.0117078i
$243$	−13.5280	+	7.74562i	−0.867818	+	0.496881i
$244$	−5.48460	+	3.98480i	−0.351116	+	0.255100i
$245$	−7.73881	−	1.64494i	−0.494415	−	0.105091i
$246$	−0.287463	−	0.166243i	−0.0183280	−	0.0105992i
$247$	−1.84612	+	17.5647i	−0.117466	+	1.11761i
$248$	0.751429	−	7.14937i	0.0477158	−	0.453985i
$249$	0.187527	−	0.108089i	0.0118840	−	0.00684984i
$250$	−5.80410	−	1.23370i	−0.367084	−	0.0780260i
$251$	−0.264684	+	0.192304i	−0.0167067	+	0.0121381i	−0.596107	−	0.802905i	$-0.703287\pi$
$251$	−0.264684	+	0.192304i	−0.0167067	+	0.0121381i	0.579401	+	0.815043i	$0.303287\pi$
$252$	16.4347	+	7.34556i	1.03529	+	0.462727i
$253$	−8.07634	+	23.4990i	−0.507755	+	1.47737i
$254$	2.64742	−	4.58547i	0.166114	−	0.287718i
$255$	5.75251	−	7.90569i	0.360236	−	0.495073i
$256$	0.0230840	−	0.0256374i	0.00144275	−	0.00160234i
$257$	13.4292	−	2.85445i	0.837688	−	0.178056i	0.230957	−	0.972964i	$-0.425814\pi$
$257$	13.4292	−	2.85445i	0.837688	−	0.178056i	0.606730	+	0.794908i	$0.292481\pi$
$258$	7.76504	+	2.52919i	0.483430	+	0.157461i
$259$	9.55117	−	4.25245i	0.593481	−	0.264235i
$260$	3.71294	−	11.4273i	0.230267	−	0.708689i
$261$	4.10055	+	2.98825i	0.253818	+	0.184968i
$262$	−8.39495	+	6.09928i	−0.518641	+	0.376815i
$263$	8.42709	−	14.5961i	0.519637	−	0.900037i	−0.480103	−	0.877212i	$-0.659401\pi$
$263$	8.42709	−	14.5961i	0.519637	−	0.900037i	0.999739	−	0.0228249i	$-0.00726603\pi$
$264$	−4.47813	+	9.59968i	−0.275610	+	0.590820i
$265$	10.7306	+	18.5859i	0.659174	+	1.14172i
$266$	6.75113	+	3.00579i	0.413938	+	0.184297i
$267$	13.6666	−	1.42647i	0.836381	−	0.0872988i
$268$	−3.65098	−	4.05482i	−0.223019	−	0.247688i
$269$	−10.0297	−	7.28700i	−0.611522	−	0.444296i	0.238428	−	0.971160i	$-0.423368\pi$
$269$	−10.0297	−	7.28700i	−0.611522	−	0.444296i	−0.849950	+	0.526864i	$0.823368\pi$
$270$	4.14341	−	1.33640i	0.252160	−	0.0813305i
$271$	5.95460	−	18.3264i	0.361716	−	1.11325i	−0.590296	−	0.807187i	$-0.700989\pi$
$271$	5.95460	−	18.3264i	0.361716	−	1.11325i	0.952012	−	0.306061i	$-0.0990112\pi$
$272$	8.45061	+	1.79623i	0.512393	+	0.108913i
$273$	9.59018	+	21.5817i	0.580424	+	1.30618i
$274$	0.784919	+	1.35952i	0.0474187	+	0.0821316i
$275$	−3.35138	−	6.03790i	−0.202096	−	0.364099i
$276$	16.9558	+	15.2892i	1.02062	+	0.920302i
$277$	−1.08198	−	10.2944i	−0.0650100	−	0.618529i	−0.977719	−	0.209919i	$-0.932680\pi$
$277$	−1.08198	−	10.2944i	−0.0650100	−	0.618529i	0.912709	−	0.408611i	$-0.133987\pi$
$278$	2.27260	+	6.99435i	0.136302	+	0.419493i
$279$	−11.4365	−	2.44810i	−0.684683	−	0.146564i
$280$	−8.69092	−	6.31432i	−0.519382	−	0.377353i
$281$	−15.0149	+	6.68504i	−0.895711	+	0.398796i	−0.802362	−	0.596837i	$-0.796424\pi$
$281$	−15.0149	+	6.68504i	−0.895711	+	0.398796i	−0.0933486	+	0.995633i	$0.529757\pi$
$282$	0.000660273	−	0.917745i	3.93187e−5	−	0.0546509i
$283$	−0.846419	+	0.940044i	−0.0503144	+	0.0558798i	−0.767777	−	0.640718i	$-0.778637\pi$
$283$	−0.846419	+	0.940044i	−0.0503144	+	0.0558798i	0.717462	+	0.696597i	$0.245304\pi$
$284$	−11.2787	−	5.02160i	−0.669268	−	0.297977i
$285$	−12.4335	+	4.02999i	−0.736496	+	0.238716i
$286$	−5.98529	+	2.54464i	−0.353918	+	0.150468i
$287$	1.33309			0.0786896
$288$	9.96134	+	11.0953i	0.586977	+	0.653794i
$289$	−1.87876	−	5.78222i	−0.110515	−	0.340130i
$290$	−0.948189	−	1.05307i	−0.0556796	−	0.0618385i
$291$	0.123158	+	0.581470i	0.00721966	+	0.0340864i
$292$	−2.76647	+	26.3212i	−0.161896	+	1.54033i
$293$	23.5610	−	5.00805i	1.37645	−	0.292574i	0.540484	−	0.841354i	$-0.318241\pi$
$293$	23.5610	−	5.00805i	1.37645	−	0.292574i	0.835966	+	0.548780i	$0.184908\pi$
$294$	3.91362	−	0.408491i	0.228247	−	0.0238237i
$295$	0.652887	+	6.21181i	0.0380126	+	0.361665i
$296$	5.65274			0.328559
$297$	14.7581	+	8.89943i	0.856349	+	0.516397i
$298$	−1.98705			−0.115107
$299$	3.13089	+	29.7884i	0.181064	+	1.72271i
$300$	−6.31080	+	0.658701i	−0.364354	+	0.0380301i
$301$	−32.0679	+	6.81623i	−1.84836	+	0.392881i
$302$	−0.399602	+	3.80196i	−0.0229945	+	0.218778i
$303$	2.55374	+	12.0571i	0.146709	+	0.692661i
$304$	−7.72805	−	8.58287i	−0.443234	−	0.492262i
$305$	−2.03392	−	6.25977i	−0.116462	−	0.358433i
$306$	−1.50929	+	4.62246i	−0.0862801	+	0.264249i
$307$	16.2949			0.930001			0.465001	−	0.885310i	$-0.346054\pi$
$307$	16.2949			0.930001			0.465001	+	0.885310i	$0.346054\pi$
$308$	−1.74587	−	19.8248i	−0.0994800	−	1.12962i
$309$	−2.72571	+	0.883469i	−0.155060	+	0.0502588i
$310$	2.98398	+	1.32855i	0.169479	+	0.0754568i
$311$	14.3002	−	15.8819i	0.810888	−	0.900582i	−0.185743	−	0.982598i	$-0.559469\pi$
$311$	14.3002	−	15.8819i	0.810888	−	0.900582i	0.996631	+	0.0820162i	$0.0261359\pi$
$312$	−0.00918652	+	12.7688i	−0.000520084	+	0.722889i
$313$	2.84672	−	1.26744i	0.160906	−	0.0716401i	−0.324703	−	0.945816i	$-0.605264\pi$
$313$	2.84672	−	1.26744i	0.160906	−	0.0716401i	0.485609	+	0.874176i	$0.338598\pi$
$314$	0.122677	+	0.0891301i	0.00692307	+	0.00502990i
$315$	−11.7133	+	12.9713i	−0.659969	+	0.730853i
$316$	2.17428	+	6.69176i	0.122313	+	0.376441i
$317$	1.90920	+	18.1648i	0.107231	+	1.02024i	0.907345	+	0.420388i	$0.138106\pi$
$317$	1.90920	+	18.1648i	0.107231	+	1.02024i	−0.800113	+	0.599849i	$0.795227\pi$
$318$	−7.92696	−	7.14780i	−0.444522	−	0.400829i
$319$	0.680426	−	5.56795i	0.0380966	−	0.311745i
$320$	2.38364	+	4.12859i	0.133250	+	0.230795i
$321$	−2.32586	−	5.23410i	−0.129817	−	0.292139i
$322$	12.2591	+	2.60575i	0.683171	+	0.145212i
$323$	4.51117	−	13.8840i	0.251008	−	0.772524i
$324$	12.8373	−	9.27052i	0.713184	−	0.515029i
$325$	−6.73442	−	4.89284i	−0.373558	−	0.271406i
$326$	−3.60832	−	4.00744i	−0.199846	−	0.221952i
$327$	9.48703	−	0.990227i	0.524634	−	0.0547597i
$328$	0.658448	+	0.293160i	0.0363567	+	0.0161871i
$329$	1.84212	+	3.19065i	0.101560	+	0.175906i
$330$	−3.51958	−	3.28304i	−0.193747	−	0.180725i
$331$	−1.88308	+	3.26159i	−0.103503	+	0.179273i	−0.913126	−	0.407678i	$-0.866339\pi$
$331$	−1.88308	+	3.26159i	−0.103503	+	0.179273i	0.809622	+	0.586951i	$0.199672\pi$
$332$	−0.177876	+	0.129235i	−0.00976222	+	0.00709267i
$333$	0.974464	−	9.14481i	0.0534003	−	0.501133i
$334$	2.66369	−	8.19799i	0.145751	−	0.448574i
$335$	4.83941	−	2.15465i	0.264405	−	0.117721i
$336$	−14.6843	−	4.78291i	−0.801096	−	0.260929i
$337$	−5.83580	+	1.24044i	−0.317896	+	0.0675710i	−0.364096	−	0.931361i	$-0.618622\pi$
$337$	−5.83580	+	1.24044i	−0.317896	+	0.0675710i	0.0462001	+	0.998932i	$0.485289\pi$
$338$	−0.979163	+	1.08747i	−0.0532594	+	0.0591506i
$339$	16.7223	−	22.9815i	0.908233	−	1.24819i
$340$	−4.96577	+	8.60097i	−0.269307	+	0.466453i
$341$	3.78741	+	12.3628i	0.205100	+	0.669482i
$342$	5.26450	−	3.81332i	0.284672	−	0.206201i
$343$	6.53464	−	4.74769i	0.352837	−	0.256351i
$344$	−17.3382	−	3.68534i	−0.934811	−	0.198700i
$345$	−19.2045	+	11.0693i	−1.03393	+	0.595951i
$346$	0.633999	−	6.03209i	0.0340840	−	0.324287i
$347$	−2.54520	+	24.2159i	−0.136633	+	1.29998i	0.684403	+	0.729104i	$0.260063\pi$
$347$	−2.54520	+	24.2159i	−0.136633	+	1.29998i	−0.821036	+	0.570876i	$0.806604\pi$
$348$	−4.46166	−	2.58022i	−0.239170	−	0.138315i
$349$	−16.3759	−	3.48081i	−0.876583	−	0.186323i	−0.252420	−	0.967618i	$-0.581227\pi$
$349$	−16.3759	−	3.48081i	−0.876583	−	0.186323i	−0.624163	+	0.781294i	$0.714560\pi$
$350$	−2.81787	+	2.04730i	−0.150621	+	0.109433i
$351$	20.6553	+	2.21604i	1.10250	+	0.118284i
$352$	5.35793	−	15.5895i	0.285579	−	0.830924i
$353$	4.01566	−	6.95533i	0.213732	−	0.370195i	−0.739148	−	0.673544i	$-0.764771\pi$
$353$	4.01566	−	6.95533i	0.213732	−	0.370195i	0.952880	+	0.303349i	$0.0981047\pi$
$354$	−1.26147	−	2.83880i	−0.0670462	−	0.150880i
$355$	8.02056	−	8.90773i	0.425687	−	0.472773i
$356$	−13.6529	+	2.90201i	−0.723602	+	0.153806i
$357$	−4.04486	−	19.0971i	−0.214077	−	1.01073i
$358$	−9.80521	+	4.36556i	−0.518221	+	0.230727i
$359$	−8.90742	+	27.4142i	−0.470116	+	1.44687i	0.382317	+	0.924031i	$0.375126\pi$
$359$	−8.90742	+	27.4142i	−0.470116	+	1.44687i	−0.852433	+	0.522836i	$0.824874\pi$
$360$	−8.63806	+	3.83103i	−0.455266	+	0.201913i
$361$	−0.417162	+	0.303086i	−0.0219559	+	0.0159519i
$362$	−1.07422	+	1.86061i	−0.0564600	+	0.0977916i
$363$	0.656847	−	19.0412i	0.0344755	−	0.999406i
$364$	−11.9948	−	20.7756i	−0.628700	−	1.08894i
$365$	−23.4740	−	10.4513i	−1.22868	−	0.547045i
$366$	1.92221	+	2.64971i	0.100476	+	0.138502i
$367$	14.9506	+	16.6044i	0.780417	+	0.866741i	0.993909	−	0.110204i	$-0.0351503\pi$
$367$	14.9506	+	16.6044i	0.780417	+	0.866741i	−0.213492	+	0.976945i	$0.568484\pi$
$368$	−15.8462	−	11.5129i	−0.826038	−	0.600152i
$369$	0.587773	−	1.01468i	0.0305982	−	0.0528220i
$370$	−0.793696	+	2.44275i	−0.0412623	+	0.126992i
$371$	41.9127	+	8.90882i	2.17600	+	0.462523i
$372$	11.8143	+	1.25033i	0.612546	+	0.0648267i
$373$	−3.53936	−	6.13036i	−0.183261	−	0.317418i	0.759728	−	0.650241i	$-0.225332\pi$
$373$	−3.53936	−	6.13036i	−0.183261	−	0.317418i	−0.942989	+	0.332823i	$0.891999\pi$
$374$	5.27648	−	1.02877i	0.272840	−	0.0531967i
$375$	4.37123	−	20.4925i	0.225729	−	1.05823i
$376$	0.208217	+	1.98105i	0.0107380	+	0.102165i
$377$	−2.08946	−	6.43070i	−0.107613	−	0.331198i
$378$	3.55262	−	7.93319i	0.182727	−	0.408040i
$379$	19.6964	+	14.3103i	1.01174	+	0.735070i	0.964573	−	0.263818i	$-0.0849817\pi$
$379$	19.6964	+	14.3103i	1.01174	+	0.735070i	0.0471638	+	0.998887i	$0.484982\pi$
$380$	12.1289	−	5.40015i	0.622202	−	0.277022i
$381$	16.1856	+	9.36032i	0.829216	+	0.479544i
$382$	−4.10739	+	4.56172i	−0.210153	+	0.233398i
$383$	−16.1130	−	7.17398i	−0.823337	−	0.366573i	−0.0485695	−	0.998820i	$-0.515466\pi$
$383$	−16.1130	−	7.17398i	−0.823337	−	0.366573i	−0.774767	+	0.632247i	$0.782133\pi$
$384$	−14.5477	−	13.1178i	−0.742384	−	0.669413i
$385$	18.8292	+	4.33572i	0.959624	+	0.220969i
$386$	6.16341			0.313709
$387$	−8.95090	+	27.4138i	−0.455000	+	1.39352i
$388$	−0.186572	−	0.574210i	−0.00947177	−	0.0291511i
$389$	−11.9661	−	13.2897i	−0.606703	−	0.673812i	0.359037	−	0.933323i	$-0.383105\pi$
$389$	−11.9661	−	13.2897i	−0.606703	−	0.673812i	−0.965740	+	0.259511i	$0.916439\pi$
$390$	−5.51653	−	1.79682i	−0.279341	−	0.0909855i
$391$	2.58791	−	24.6223i	0.130876	−	1.24520i
$392$	−8.35402	+	1.77570i	−0.421942	+	0.0896865i
$393$	−21.5167	−	29.6600i	−1.08537	−	1.49615i
$394$	−0.530412	−	5.04653i	−0.0267218	−	0.254241i
$395$	−6.83122			−0.343716
$396$	−15.8594	−	7.41209i	−0.796963	−	0.372472i
$397$	−21.9395			−1.10111			−0.550556	−	0.834798i	$-0.685584\pi$
$397$	−21.9395			−1.10111			−0.550556	+	0.834798i	$0.685584\pi$
$398$	1.35751	+	12.9158i	0.0680458	+	0.647412i
$399$	−10.6313	+	23.8322i	−0.532232	+	1.19310i
$400$	5.32452	−	1.13176i	0.266226	−	0.0565881i
$401$	−0.565244	+	5.37793i	−0.0282269	+	0.268561i	0.971301	+	0.237852i	$0.0764433\pi$
$401$	−0.565244	+	5.37793i	−0.0282269	+	0.268561i	−0.999528	+	0.0307093i	$0.990223\pi$
$402$	−1.95920	+	1.76152i	−0.0977160	+	0.0878567i
$403$	10.4290	+	11.5826i	0.519508	+	0.576972i
$404$	−3.86867	−	11.9065i	−0.192473	−	0.592372i
$405$	4.70861	+	14.6348i	0.233972	+	0.727207i
$406$	−2.82926			−0.140414
$407$	−9.35669	+	3.97800i	−0.463794	+	0.197182i
$408$	2.20179	−	10.3221i	0.109005	−	0.511020i
$409$	21.5781	+	9.60718i	1.06697	+	0.475044i	0.863662	−	0.504071i	$-0.168165\pi$
$409$	21.5781	+	9.60718i	1.06697	+	0.475044i	0.203305	+	0.979115i	$0.434832\pi$
$410$	−0.219137	+	0.243376i	−0.0108224	+	0.0120195i
$411$	−4.80278	+	2.76828i	−0.236904	+	0.136549i
$412$	2.65895	−	1.18384i	0.130997	−	0.0583236i
$413$	10.0890	+	7.33011i	0.496449	+	0.360691i
$414$	7.38852	−	8.18207i	0.363126	−	0.402127i
$415$	−0.0659639	−	0.203016i	−0.00323804	−	0.00996567i
$416$	−2.07706	−	19.7619i	−0.101836	−	0.968908i
$417$	−24.7045	+	8.00733i	−1.20978	+	0.392120i
$418$	−6.51498	−	3.03345i	−0.318658	−	0.148371i
$419$	9.06566	+	15.7022i	0.442886	+	0.767102i	0.997902	−	0.0647380i	$-0.0206212\pi$
$419$	9.06566	+	15.7022i	0.442886	+	0.767102i	−0.555016	+	0.831840i	$0.687288\pi$
$420$	10.4456	−	14.3553i	0.509691	−	0.700469i
$421$	12.5322	+	2.66381i	0.610783	+	0.129826i	0.502910	−	0.864339i	$-0.332263\pi$
$421$	12.5322	+	2.66381i	0.610783	+	0.129826i	0.107873	+	0.994165i	$0.465596\pi$
$422$	1.10403	−	3.39785i	0.0537432	−	0.165405i
$423$	3.24077	+	0.00466316i	0.157572	+	0.000226731i
$424$	18.7427	+	13.6174i	0.910226	+	0.661318i
$425$	4.60399	+	5.11325i	0.223326	+	0.248029i
$426$	−2.42868	+	5.44435i	−0.117670	+	0.263780i
$427$	−12.0052	−	5.34507i	−0.580973	−	0.258666i
$428$	2.90904	+	5.03861i	0.140614	+	0.243551i
$429$	−8.97054	−	21.1419i	−0.433102	−	1.02074i
$430$	4.02700	−	6.97496i	0.194199	−	0.336362i
$431$	5.32265	−	3.86713i	0.256383	−	0.186273i	−0.452168	−	0.891933i	$-0.649349\pi$
$431$	5.32265	−	3.86713i	0.256383	−	0.186273i	0.708551	+	0.705660i	$0.249349\pi$
$432$	−10.1150	+	9.06812i	−0.486658	+	0.436290i
$433$	4.32555	−	13.3127i	0.207873	−	0.639767i	−0.791710	−	0.610897i	$-0.790809\pi$
$433$	4.32555	−	13.3127i	0.207873	−	0.639767i	0.999583	−	0.0288700i	$-0.00919089\pi$
$434$	5.95778	−	2.65257i	0.285982	−	0.127328i
$435$	3.72105	−	3.34561i	0.178411	−	0.160410i
$436$	−9.47753	+	2.01451i	−0.453892	+	0.0964776i
$437$	−22.1463	+	24.5959i	−1.05940	+	1.17658i
$438$	12.7086	+	1.34498i	0.607242	+	0.0642655i
$439$	−12.5891	+	21.8050i	−0.600846	+	1.04070i	0.391848	+	0.920030i	$0.371836\pi$
$439$	−12.5891	+	21.8050i	−0.600846	+	1.04070i	−0.992693	+	0.120665i	$0.961497\pi$
$440$	8.34678	+	6.28227i	0.397917	+	0.299495i
$441$	1.43254	+	13.8210i	0.0682160	+	0.658141i
$442$	5.24254	−	3.80893i	0.249362	−	0.181172i
$443$	−26.2363	−	5.57671i	−1.24653	−	0.264957i	−0.463024	−	0.886346i	$-0.653235\pi$
$443$	−26.2363	−	5.57671i	−1.24653	−	0.264957i	−0.783502	+	0.621389i	$0.786569\pi$
$444$	−0.00672104	+	9.34188i	−0.000318966	+	0.443346i
$445$	1.41651	−	13.4772i	0.0671490	−	0.638880i
$446$	1.20537	−	11.4684i	0.0570761	−	0.543043i
$447$	0.00504822	−	7.01675i	0.000238772	−	0.331881i
$448$	9.31029	+	1.97896i	0.439870	+	0.0934972i
$449$	−11.4685	+	8.33234i	−0.541231	+	0.393228i	−0.824542	−	0.565801i	$-0.808567\pi$
$449$	−11.4685	+	8.33234i	−0.541231	+	0.393228i	0.283311	+	0.959028i	$0.408567\pi$
$450$	0.315872	+	3.04749i	0.0148903	+	0.143660i
$451$	−1.29620	−	0.0218838i	−0.0610357	−	0.00103047i
$452$	−14.4353	+	25.0027i	−0.678981	+	1.17603i
$453$	−13.4246	−	1.42075i	−0.630743	−	0.0667526i
$454$	3.91292	−	4.34573i	0.183642	−	0.203955i
$455$	22.7820	−	4.84247i	1.06804	−	0.227019i
$456$	−10.4921	+	9.43343i	−0.491336	+	0.441761i
$457$	22.5109	−	10.0225i	1.05302	−	0.468833i	0.194118	−	0.980978i	$-0.437816\pi$
$457$	22.5109	−	10.0225i	1.05302	−	0.468833i	0.858899	+	0.512145i	$0.171149\pi$
$458$	−0.463439	+	1.42632i	−0.0216551	+	0.0666475i
$459$	−16.3192	−	5.34139i	−0.761714	−	0.249315i
$460$	18.2162	−	13.2348i	0.849334	−	0.617077i
$461$	13.1227	−	22.7292i	0.611185	−	1.05860i	−0.379856	−	0.925046i	$-0.624027\pi$
$461$	13.1227	−	22.7292i	0.611185	−	1.05860i	0.991041	−	0.133558i	$-0.0426401\pi$
$462$	−9.57329	+	0.836131i	−0.445390	+	0.0389003i
$463$	−6.34609	−	10.9917i	−0.294928	−	0.510830i	0.680040	−	0.733175i	$-0.261962\pi$
$463$	−6.34609	−	10.9917i	−0.294928	−	0.510830i	−0.974968	+	0.222345i	$0.928629\pi$
$464$	4.03939	+	1.79845i	0.187524	+	0.0834910i
$465$	−4.69902	+	10.5338i	−0.217912	+	0.488492i
$466$	8.05131	+	8.94188i	0.372970	+	0.414225i
$467$	22.4130	+	16.2840i	1.03715	+	0.753534i	0.969727	−	0.244190i	$-0.0785221\pi$
$467$	22.4130	+	16.2840i	1.03715	+	0.753534i	0.0674235	+	0.997724i	$0.478522\pi$
$468$	−21.1020	−	0.0303638i	−0.975441	−	0.00140357i
$469$	3.26838	−	10.0591i	0.150920	−	0.464484i
$470$	−0.885317	−	0.188180i	−0.0408366	−	0.00868009i
$471$	−0.315051	+	0.432975i	−0.0145168	+	0.0199505i
$472$	3.37128	+	5.83923i	0.155176	+	0.268772i
$473$	31.2924	−	6.10120i	1.43883	−	0.280534i
$474$	3.23197	−	1.04756i	0.148449	−	0.0481161i
$475$	−0.961466	−	9.14774i	−0.0441151	−	0.419727i
$476$	6.12756	+	18.8587i	0.280856	+	0.864386i
$477$	25.2607	−	27.9738i	1.15661	−	1.28083i
$478$	−2.75813	−	2.00390i	−0.126154	−	0.0916563i
$479$	−14.2716	+	6.35412i	−0.652086	+	0.290327i	−0.705993	−	0.708219i	$-0.749499\pi$
$479$	−14.2716	+	6.35412i	−0.652086	+	0.290327i	0.0539074	+	0.998546i	$0.482832\pi$
$480$	12.7405	−	7.34349i	0.581520	−	0.335183i
$481$	−8.20070	+	9.10780i	−0.373920	+	0.415280i
$482$	3.48191	+	1.55025i	0.158597	+	0.0706118i
$483$	−9.23265	+	43.2830i	−0.420100	+	1.96945i
$484$	1.37212	+	19.3049i	0.0623689	+	0.877494i
$485$	0.586177			0.0266169
$486$	−4.47195	−	6.20191i	−0.202852	−	0.281324i
$487$	8.32090	+	25.6091i	0.377056	+	1.16046i	0.942081	+	0.335386i	$0.108867\pi$
$487$	8.32090	+	25.6091i	0.377056	+	1.16046i	−0.565025	+	0.825074i	$0.691133\pi$
$488$	−4.75427	−	5.28015i	−0.215216	−	0.239021i
$489$	14.1604	−	12.7316i	0.640355	−	0.575745i
$490$	0.405638	−	3.85938i	0.0183248	−	0.174349i
$491$	−38.1475	+	8.10850i	−1.72157	+	0.365932i	−0.959533	−	0.281598i	$-0.909136\pi$
$491$	−38.1475	+	8.10850i	−1.72157	+	0.365932i	−0.762040	+	0.647529i	$0.775802\pi$
$492$	−0.485267	+	1.08782i	−0.0218775	+	0.0490428i
$493$	0.584209	+	5.55837i	0.0263114	+	0.250337i
$494$	−8.66283			−0.389759
$495$	11.6021	−	12.4201i	0.521476	−	0.558244i
$496$	−10.1922			−0.457642
$497$	−2.50159	−	23.8010i	−0.112212	−	1.06762i
$498$	0.0623410	+	0.0859350i	0.00279357	+	0.00385084i
$499$	23.5099	−	4.99718i	1.05245	−	0.223705i	0.350963	−	0.936389i	$-0.385854\pi$
$499$	23.5099	−	4.99718i	1.05245	−	0.223705i	0.701485	+	0.712685i	$0.252521\pi$
$500$	−2.22485	+	21.1680i	−0.0994981	+	0.946661i
$501$	28.9423	+	9.42694i	1.29305	+	0.421165i
$502$	−0.107378	−	0.119255i	−0.00479251	−	0.00532262i
$503$	−7.41223	−	22.8125i	−0.330495	−	1.01716i	−0.968899	−	0.247457i	$-0.920405\pi$
$503$	−7.41223	−	22.8125i	−0.330495	−	1.01716i	0.638404	−	0.769701i	$-0.279595\pi$
$504$	−5.85595	+	17.9349i	−0.260845	+	0.798884i
$505$	12.1547			0.540876
$506$	−11.8771	−	2.73489i	−0.528001	−	0.121581i
$507$	−3.83763	−	3.46042i	−0.170435	−	0.153683i
$508$	−17.3507	−	7.72504i	−0.769814	−	0.342743i
$509$	2.47502	−	2.74879i	0.109703	−	0.121838i	−0.685792	−	0.727798i	$-0.740544\pi$
$509$	2.47502	−	2.74879i	0.109703	−	0.121838i	0.795495	+	0.605960i	$0.207211\pi$
$510$	4.15138	+	2.40079i	0.183826	+	0.106309i
$511$	−46.8678	+	20.8669i	−2.07331	+	0.923096i
$512$	18.3128	+	13.3050i	0.809318	+	0.588004i
$513$	13.4524	+	18.5999i	0.593937	+	0.821205i
$514$	2.08094	+	6.40449i	0.0917865	+	0.282490i
$515$	0.295378	+	2.81034i	0.0130159	+	0.123838i
$516$	6.11111	−	28.6491i	0.269027	−	1.26121i
$517$	−1.73877	−	3.13260i	−0.0764712	−	0.137772i
$518$	2.56407	+	4.44110i	0.112659	+	0.195131i
$519$	21.2991	+	2.25412i	0.934928	+	0.0989451i
$520$	12.3176	+	2.61818i	0.540162	+	0.114815i
$521$	−1.98178	+	6.09929i	−0.0868234	+	0.267215i	−0.985037	−	0.172345i	$-0.944866\pi$
$521$	−1.98178	+	6.09929i	−0.0868234	+	0.267215i	0.898213	+	0.439560i	$0.144866\pi$
$522$	−1.24745	+	2.15349i	−0.0545994	+	0.0942555i
$523$	2.21554	+	1.60969i	0.0968790	+	0.0703867i	0.635170	−	0.772372i	$-0.280930\pi$
$523$	2.21554	+	1.60969i	0.0968790	+	0.0703867i	−0.538291	+	0.842759i	$0.680930\pi$
$524$	24.9061	+	27.6610i	1.08803	+	1.20838i
$525$	−7.22234	−	9.95575i	−0.315209	−	0.434505i
$526$	7.55217	+	3.36244i	0.329290	+	0.146609i
$527$	−6.44147	−	11.1570i	−0.280595	−	0.486005i
$528$	14.1995	+	4.89162i	0.617954	+	0.212881i
$529$	−16.5651	+	28.6916i	−0.720222	+	1.24746i
$530$	−8.51617	+	6.18736i	−0.369919	+	0.268762i
$531$	10.0277	−	4.44733i	0.435164	−	0.192998i
$532$	8.19149	−	25.2108i	0.355146	−	1.09303i
$533$	−1.42759	+	0.635602i	−0.0618356	+	0.0275310i
$534$	1.39654	+	6.59352i	0.0604341	+	0.285329i
$535$	−5.52522	+	1.17442i	−0.238876	+	0.0507746i
$536$	3.82644	−	4.24969i	0.165277	−	0.183559i
$537$	−15.3909	−	34.6356i	−0.664167	−	1.49464i
$538$	3.04042	−	5.26617i	0.131082	−	0.227041i
$539$	12.5784	−	8.81819i	0.541788	−	0.379826i
$540$	−6.32099	−	14.2800i	−0.272012	−	0.614515i
$541$	−16.9114	+	12.2869i	−0.727079	+	0.528254i	−0.888638	−	0.458609i	$-0.848348\pi$
$541$	−16.9114	+	12.2869i	−0.727079	+	0.528254i	0.161559	+	0.986863i	$0.448348\pi$
$542$	9.24503	+	1.96509i	0.397108	+	0.0844080i
$543$	−6.56753	−	3.79807i	−0.281840	−	0.162991i
$544$	−1.71684	+	16.3347i	−0.0736091	+	0.700344i
$545$	0.983309	−	9.35556i	0.0421203	−	0.400748i
$546$	−10.0360	+	5.78466i	−0.429501	+	0.247561i
$547$	40.9613	+	8.70658i	1.75138	+	0.372267i	0.968326	−	0.249690i	$-0.0803288\pi$
$547$	40.9613	+	8.70658i	1.75138	+	0.372267i	0.783051	+	0.621957i	$0.213662\pi$
$548$	4.55562	−	3.30985i	0.194606	−	0.141390i
$549$	−9.36162	+	6.78106i	−0.399544	+	0.289408i
$550$	2.77350	−	1.94439i	0.118263	−	0.0829092i
$551$	3.73576	−	6.47053i	0.159149	−	0.275654i
$552$	−14.0787	+	19.3483i	−0.599228	+	0.823520i
$553$	−9.12636	+	10.1358i	−0.388092	+	0.431020i
$554$	4.96620	−	1.05560i	0.210993	−	0.0448480i
$555$	−8.62390	−	2.80893i	−0.366064	−	0.119233i
$556$	24.0994	−	10.7297i	1.02204	−	0.455042i
$557$	−3.87025	+	11.9114i	−0.163988	+	0.504702i	−0.998960	−	0.0455895i	$-0.985483\pi$
$557$	−3.87025	+	11.9114i	−0.163988	+	0.504702i	0.834973	+	0.550291i	$0.185483\pi$
$558$	0.607846	−	5.70430i	0.0257322	−	0.241482i
$559$	31.0911	−	22.5890i	1.31502	−	0.955415i
$560$	−7.61538	+	13.1902i	−0.321809	+	0.557389i
$561$	3.61944	+	18.6351i	0.152813	+	0.786774i
$562$	−4.03083	−	6.98160i	−0.170030	−	0.294501i
$563$	−13.2544	−	5.90124i	−0.558606	−	0.248707i	0.107958	−	0.994155i	$-0.465569\pi$
$563$	−13.2544	−	5.90124i	−0.558606	−	0.248707i	−0.666564	+	0.745448i	$0.732236\pi$
$564$	−3.27419	+	0.341750i	−0.137868	+	0.0143903i
$565$	−18.7556	−	20.8302i	−0.789056	−	0.876335i
$566$	−0.501956	−	0.364693i	−0.0210988	−	0.0153292i
$567$	28.0050	+	12.5653i	1.17610	+	0.527693i
$568$	3.99850	−	12.3061i	0.167773	−	0.516353i
$569$	27.3612	+	5.81579i	1.14704	+	0.243811i	0.741943	−	0.670463i	$-0.233905\pi$
$569$	27.3612	+	5.81579i	1.14704	+	0.243811i	0.405096	+	0.914274i	$0.367238\pi$
$570$	−2.60333	−	5.85852i	−0.109042	−	0.245386i
$571$	−4.52443	−	7.83654i	−0.189341	−	0.327949i	0.755689	−	0.654930i	$-0.227302\pi$
$571$	−4.52443	−	7.83654i	−0.189341	−	0.327949i	−0.945031	+	0.326981i	$0.893969\pi$
$572$	11.3219	+	20.3977i	0.473391	+	0.852870i
$573$	−16.0981	−	14.5158i	−0.672507	−	0.606405i
$574$	0.0683481	+	0.650289i	0.00285280	+	0.0271425i
$575$	−4.82046	−	14.8359i	−0.201027	−	0.618698i
$576$	5.61129	−	6.21397i	0.233804	−	0.258915i
$577$	−31.0234	−	22.5398i	−1.29152	−	0.938346i	−0.291687	−	0.956514i	$-0.594217\pi$
$577$	−31.0234	−	22.5398i	−1.29152	−	0.938346i	−0.999835	+	0.0181683i	$0.994217\pi$
$578$	2.72428	−	1.21293i	0.113315	−	0.0504511i
$579$	−0.0156585	+	21.7644i	−0.000650744	+	0.904500i
$580$	−3.40118	+	3.77740i	−0.141226	+	0.156848i
$581$	−0.389352	−	0.173351i	−0.0161530	−	0.00719180i
$582$	−0.277331	+	0.0898897i	−0.0114957	+	0.00372605i
$583$	−40.6067	−	9.35034i	−1.68176	−	0.387252i
$584$	−27.7381			−1.14781
$585$	6.35901	−	19.4756i	0.262913	−	0.805218i
$586$	3.65095	+	11.2365i	0.150819	+	0.464175i
$587$	−0.483525	−	0.537009i	−0.0199572	−	0.0221647i	0.733084	−	0.680139i	$-0.238080\pi$
$587$	−0.483525	−	0.537009i	−0.0199572	−	0.0221647i	−0.753041	+	0.657974i	$0.771414\pi$
$588$	−2.92464	−	13.8082i	−0.120610	−	0.569440i
$589$	−1.80022	+	17.1279i	−0.0741767	+	0.705744i
$590$	−2.99669	+	0.636966i	−0.123372	+	0.0262235i
$591$	17.8218	−	1.86019i	0.733093	−	0.0765180i
$592$	−0.837737	−	7.97054i	−0.0344308	−	0.327587i
$593$	−39.6596			−1.62863			−0.814313	−	0.580426i	$-0.802886\pi$
$593$	−39.6596			−1.62863			−0.814313	+	0.580426i	$0.802886\pi$
$594$	−3.58455	+	7.65536i	−0.147076	+	0.314103i
$595$	−19.2517			−0.789244
$596$	0.745038	+	7.08856i	0.0305179	+	0.290359i
$597$	−45.6123	+	4.76087i	−1.86679	+	0.194849i
$598$	−14.3705	+	3.05454i	−0.587652	+	0.124909i
$599$	2.12996	−	20.2652i	0.0870276	−	0.828013i	−0.860739	−	0.509047i	$-0.829998\pi$
$599$	2.12996	−	20.2652i	0.0870276	−	0.828013i	0.947766	−	0.318965i	$-0.103335\pi$
$600$	−1.37794	−	6.50569i	−0.0562540	−	0.265594i
$601$	−32.3670	−	35.9472i	−1.32028	−	1.46632i	−0.781560	−	0.623830i	$-0.785576\pi$
$601$	−32.3670	−	35.9472i	−1.32028	−	1.46632i	−0.538717	−	0.842487i	$-0.681091\pi$
$602$	−4.96914	−	15.2935i	−0.202527	−	0.623315i
$603$	−6.21537	−	6.92287i	−0.253109	−	0.281921i
$604$	13.7129			0.557968
$605$	−18.2370	−	4.52485i	−0.741439	−	0.183961i
$606$	−5.75059	+	1.86391i	−0.233602	+	0.0757161i
$607$	−17.9989	−	8.01364i	−0.730554	−	0.325264i	0.00753068	−	0.999972i	$-0.497603\pi$
$607$	−17.9989	−	8.01364i	−0.730554	−	0.325264i	−0.738085	+	0.674708i	$0.764270\pi$
$608$	14.6921	−	16.3172i	0.595842	−	0.661750i
$609$	0.00718788	−	9.99077i	0.000291268	−	0.404847i
$610$	2.94928	−	1.31310i	0.119413	−	0.0531660i
$611$	−3.49397	−	2.53852i	−0.141351	−	0.102698i
$612$	17.0560	+	3.65102i	0.689447	+	0.147584i
$613$	1.76690	+	5.43796i	0.0713644	+	0.219637i	0.980377	−	0.197131i	$-0.0631626\pi$
$613$	1.76690	+	5.43796i	0.0713644	+	0.219637i	−0.909013	+	0.416768i	$0.863163\pi$
$614$	0.835451	+	7.94879i	0.0337161	+	0.320787i
$615$	−0.858861	−	0.774442i	−0.0346326	−	0.0312285i
$616$	20.4724	−	3.99159i	0.824858	−	0.160826i
$617$	−3.05346	−	5.28875i	−0.122928	−	0.212917i	0.797993	−	0.602666i	$-0.205895\pi$
$617$	−3.05346	−	5.28875i	−0.122928	−	0.212917i	−0.920921	+	0.389749i	$0.872562\pi$
$618$	−0.570711	−	1.28432i	−0.0229574	−	0.0516631i
$619$	1.74084	+	0.370027i	0.0699704	+	0.0148727i	0.242764	−	0.970085i	$-0.421946\pi$
$619$	1.74084	+	0.370027i	0.0699704	+	0.0148727i	−0.172793	+	0.984958i	$0.555279\pi$
$620$	3.62062	−	11.1431i	0.145408	−	0.447519i
$621$	28.8741	+	26.1114i	1.15868	+	1.04781i
$622$	8.48050	+	6.16144i	0.340037	+	0.247051i
$623$	−18.1044	−	20.1070i	−0.725337	−	0.805568i
$624$	18.0057	−	1.87938i	0.720805	−	0.0752354i
$625$	−9.36756	−	4.17071i	−0.374702	−	0.166828i
$626$	0.764220	+	1.32367i	0.0305444	+	0.0529044i
$627$	10.7284	−	22.9982i	0.428450	−	0.918460i
$628$	0.271963	−	0.471055i	0.0108525	−	0.0187971i
$629$	8.19556	−	5.95442i	0.326778	−	0.237418i
$630$	−6.92806	−	5.04878i	−0.276021	−	0.201148i
$631$	−13.8566	+	42.6461i	−0.551621	+	1.69771i	0.153084	+	0.988213i	$0.451079\pi$
$631$	−13.8566	+	42.6461i	−0.551621	+	1.69771i	−0.704705	+	0.709501i	$0.748921\pi$
$632$	−6.73674	+	2.99939i	−0.267973	+	0.119309i
$633$	11.9958	+	3.90722i	0.476790	+	0.155298i
$634$	−8.76303	+	1.86264i	−0.348024	+	0.0739748i
$635$	12.3385	−	13.7033i	0.489639	−	0.543799i
$636$	−22.5267	+	30.9585i	−0.893242	+	1.22758i
$637$	9.25852	−	16.0362i	0.366836	−	0.635379i
$638$	2.75097	+	0.0464448i	0.108912	+	0.00183877i
$639$	−19.2191	−	8.59006i	−0.760297	−	0.339818i
$640$	−15.6290	+	11.3552i	−0.617792	+	0.448852i
$641$	26.4193	+	5.61560i	1.04350	+	0.221803i	0.697614	−	0.716473i	$-0.254245\pi$
$641$	26.4193	+	5.61560i	1.04350	+	0.221803i	0.345887	+	0.938276i	$0.387578\pi$
$642$	2.43398	−	1.40293i	0.0960616	−	0.0553691i
$643$	3.40317	−	32.3790i	0.134208	−	1.27690i	−0.695426	−	0.718597i	$-0.744784\pi$
$643$	3.40317	−	32.3790i	0.134208	−	1.27690i	0.829634	−	0.558307i	$-0.188549\pi$
$644$	4.69918	−	44.7097i	0.185174	−	1.76181i
$645$	24.6200	+	14.2380i	0.969412	+	0.560621i
$646$	7.00398	+	1.48874i	0.275568	+	0.0585738i
$647$	25.4705	−	18.5054i	1.00135	−	0.727523i	0.0389724	−	0.999240i	$-0.487592\pi$
$647$	25.4705	−	18.5054i	1.00135	−	0.727523i	0.962377	+	0.271717i	$0.0875916\pi$
$648$	11.0692	+	12.3649i	0.434838	+	0.485741i
$649$	−9.68953	−	7.29290i	−0.380347	−	0.286271i
$650$	2.04149	−	3.53596i	0.0800736	−	0.138692i
$651$	9.35173	+	21.0451i	0.366523	+	0.824821i
$652$	−12.9431	+	14.3748i	−0.506892	+	0.562961i
$653$	4.55794	−	0.968821i	0.178366	−	0.0379129i	−0.117863	−	0.993030i	$-0.537604\pi$
$653$	4.55794	−	0.968821i	0.178366	−	0.0379129i	0.296229	+	0.955117i	$0.404271\pi$
$654$	0.969445	+	4.57707i	0.0379083	+	0.178978i
$655$	−33.0133	+	14.6985i	−1.28994	+	0.574318i
$656$	0.315782	−	0.971878i	0.0123292	−	0.0379455i
$657$	−4.78172	+	44.8738i	−0.186553	+	1.75069i
$658$	−1.46197	+	1.06219i	−0.0569937	+	0.0414084i
$659$	16.0209	−	27.7490i	0.624086	−	1.08095i	−0.364631	−	0.931152i	$-0.618805\pi$
$659$	16.0209	−	27.7490i	0.624086	−	1.08095i	0.988717	−	0.149797i	$-0.0478619\pi$
$660$	−10.3922	+	13.7866i	−0.404515	+	0.536644i
$661$	20.3527	+	35.2519i	0.791627	+	1.37114i	0.924959	+	0.380067i	$0.124099\pi$
$661$	20.3527	+	35.2519i	0.791627	+	1.37114i	−0.133331	+	0.991072i	$0.542567\pi$
$662$	−1.68757	−	0.751356i	−0.0655894	−	0.0292023i
$663$	13.4369	+	18.5223i	0.521846	+	0.719347i
$664$	−0.154190	−	0.171245i	−0.00598373	−	0.00664561i
$665$	20.8211	+	15.1274i	0.807406	+	0.586615i
$666$	4.51086	+	0.00649071i	0.174792	+	0.000251510i
$667$	3.91560	−	12.0510i	0.151613	−	0.466616i
$668$	−30.2441	−	6.42857i	−1.17018	−	0.248729i
$669$	40.4945	+	4.28560i	1.56561	+	0.165691i
$670$	1.29917	+	2.25023i	0.0501914	+	0.0869340i
$671$	11.5853	+	5.39424i	0.447245	+	0.208242i
$672$	6.12503	−	28.7144i	0.236278	−	1.10768i
$673$	3.94736	+	37.5567i	0.152160	+	1.44770i	0.758072	+	0.652171i	$0.226142\pi$
$673$	3.94736	+	37.5567i	0.152160	+	1.44770i	−0.605912	+	0.795532i	$0.707192\pi$
$674$	−0.904299	−	2.78315i	−0.0348323	−	0.107203i
$675$	−10.7622	+	1.10767i	−0.414238	+	0.0426344i
$676$	4.24655	+	3.08530i	0.163329	+	0.118665i
$677$	17.2666	−	7.68759i	0.663610	−	0.295458i	−0.0471552	−	0.998888i	$-0.515016\pi$
$677$	17.2666	−	7.68759i	0.663610	−	0.295458i	0.710765	+	0.703429i	$0.248349\pi$
$678$	12.0679	+	6.97900i	0.463466	+	0.268027i
$679$	0.783119	−	0.869742i	0.0300534	−	0.0333776i
$680$	−9.50895	−	4.23366i	−0.364652	−	0.162353i
$681$	15.3359	+	13.8285i	0.587672	+	0.529908i
$682$	−5.83647	+	2.48137i	−0.223490	+	0.0950167i
$683$	31.1053			1.19021			0.595105	−	0.803648i	$-0.297110\pi$
$683$	31.1053			1.19021			0.595105	+	0.803648i	$0.297110\pi$
$684$	−15.5775	−	17.3507i	−0.595620	−	0.663420i
$685$	1.68941	+	5.19948i	0.0645492	+	0.198662i
$686$	2.65099	+	2.94423i	0.101215	+	0.112411i
$687$	−5.03549	−	1.64014i	−0.192116	−	0.0625751i
$688$	−2.62692	+	24.9935i	−0.100150	+	0.952868i
$689$	−49.1314	+	10.4432i	−1.87176	+	0.397854i
$690$	−6.38431	−	8.80055i	−0.243046	−	0.335031i
$691$	−2.32172	−	22.0897i	−0.0883225	−	0.840333i	−0.945568	−	0.325425i	$-0.894493\pi$
$691$	−2.32172	−	22.0897i	−0.0883225	−	0.840333i	0.857245	−	0.514908i	$-0.172174\pi$
$692$	−21.7565			−0.827057
$693$	−2.92825	−	33.8077i	−0.111235	−	1.28425i
$694$	−11.9432			−0.453358
$695$	2.67716	+	25.4715i	0.101551	+	0.966189i
$696$	2.20063	−	4.93314i	0.0834146	−	0.186990i
$697$	1.26345	−	0.268554i	0.0478565	−	0.0101722i
$698$	0.858360	−	8.16675i	0.0324894	−	0.309116i
$699$	−31.5964	+	28.4084i	−1.19508	+	1.07450i
$700$	8.36004	+	9.28477i	0.315980	+	0.350931i
$701$	−9.25374	−	28.4801i	−0.349509	−	1.07568i	−0.959125	−	0.282981i	$-0.908677\pi$
$701$	−9.25374	−	28.4801i	−0.349509	−	1.07568i	0.609616	−	0.792697i	$-0.291323\pi$
$702$	−0.0219924	+	10.1894i	−0.000830050	+	0.384574i
$703$	−13.5424			−0.510763
$704$	−9.02018	−	2.07704i	−0.339961	−	0.0782814i
$705$	0.666757	−	3.12578i	0.0251115	−	0.117724i
$706$	3.59874	+	1.60226i	0.135440	+	0.0603020i
$707$	16.2384	−	18.0345i	0.610707	−	0.678258i
$708$	−9.65407	+	5.56453i	−0.362822	+	0.209128i
$709$	15.7182	−	6.99820i	0.590310	−	0.262823i	−0.0897681	−	0.995963i	$-0.528613\pi$
$709$	15.7182	−	6.99820i	0.590310	−	0.262823i	0.680078	+	0.733140i	$0.261946\pi$
$710$	4.75647	+	3.45578i	0.178507	+	0.129693i
$711$	3.69098	+	11.4155i	0.138422	+	0.428115i
$712$	−4.52052	−	13.9127i	−0.169414	−	0.521402i
$713$	3.05304	+	29.0477i	0.114337	+	1.08785i
$714$	9.10833	−	2.95223i	0.340871	−	0.110485i
$715$	−22.2311	+	4.33449i	−0.831398	+	0.162101i
$716$	19.2500	+	33.3420i	0.719407	+	1.24605i
$717$	7.08326	−	9.73453i	0.264529	−	0.363543i
$718$	−13.8295	−	2.93956i	−0.516114	−	0.109703i
$719$	1.46013	−	4.49382i	0.0544537	−	0.167591i	−0.920131	−	0.391611i	$-0.871918\pi$
$719$	1.46013	−	4.49382i	0.0544537	−	0.167591i	0.974585	+	0.224020i	$0.0719180\pi$
$720$	6.68202	+	11.6122i	0.249024	+	0.432759i
$721$	4.56446	+	3.31628i	0.169989	+	0.123505i
$722$	−0.169236	−	0.187955i	−0.00629829	−	0.00699496i
$723$	−5.48313	+	12.2915i	−0.203920	+	0.457126i
$724$	7.04028	+	3.13454i	0.261650	+	0.116494i
$725$	1.76074	+	3.04969i	0.0653923	+	0.113263i
$726$	9.32212	−	0.655841i	0.345976	−	0.0243405i
$727$	−2.60044	+	4.50410i	−0.0964450	+	0.167048i	−0.910211	−	0.414145i	$-0.864081\pi$
$727$	−2.60044	+	4.50410i	−0.0964450	+	0.167048i	0.813766	+	0.581193i	$0.197414\pi$
$728$	20.3408	−	14.7784i	0.753879	−	0.547725i
$729$	21.9118	−	15.7758i	0.811547	−	0.584287i
$730$	3.89468	−	11.9866i	0.144149	−	0.443644i
$731$	−29.0195	+	12.9203i	−1.07333	+	0.477876i
$732$	8.73177	−	7.85076i	0.322736	−	0.290172i
$733$	47.9910	−	10.2008i	1.77259	−	0.376775i	0.798332	−	0.602217i	$-0.205716\pi$
$733$	47.9910	−	10.2008i	1.77259	−	0.376775i	0.974257	+	0.225442i	$0.0723826\pi$
$734$	−7.33320	+	8.14435i	−0.270673	+	0.300613i
$735$	13.6274	+	1.44221i	0.502653	+	0.0531966i
$736$	18.6187	−	32.2485i	0.686294	−	1.18870i
$737$	−3.34308	+	9.72706i	−0.123144	+	0.358301i
$738$	0.525102	+	0.234697i	0.0193293	+	0.00863930i
$739$	12.6160	−	9.16603i	0.464086	−	0.337178i	−0.331046	−	0.943615i	$-0.607402\pi$
$739$	12.6160	−	9.16603i	0.464086	−	0.337178i	0.795132	+	0.606437i	$0.207402\pi$
$740$	9.01179	+	1.91552i	0.331280	+	0.0704157i
$741$	0.0220084	−	30.5905i	0.000808499	−	1.12377i
$742$	−2.19690	+	20.9021i	−0.0806506	+	0.767339i
$743$	−1.16387	+	11.0734i	−0.0426981	+	0.406245i	0.952209	+	0.305448i	$0.0988061\pi$
$743$	−1.16387	+	11.0734i	−0.0426981	+	0.406245i	−0.994907	+	0.100798i	$0.967861\pi$
$744$	−0.00895810	+	12.4513i	−0.000328420	+	0.456486i
$745$	−6.76882	−	1.43876i	−0.247990	−	0.0527119i
$746$	2.80897	−	2.04083i	0.102844	−	0.0747202i
$747$	−0.303615	+	0.219923i	−0.0111087	+	0.00804655i
$748$	−5.64842	−	18.4374i	−0.206527	−	0.674140i
$749$	−5.63901	+	9.76705i	−0.206045	+	0.356880i
$750$	10.2205	+	1.08165i	0.373200	+	0.0394964i
$751$	−5.41006	+	6.00848i	−0.197416	+	0.219252i	−0.833722	−	0.552184i	$-0.813795\pi$
$751$	−5.41006	+	6.00848i	−0.197416	+	0.219252i	0.636307	+	0.771436i	$0.280461\pi$
$752$	2.76248	−	0.587184i	0.100737	−	0.0214124i
$753$	0.421391	−	0.378874i	0.0153563	−	0.0138069i
$754$	3.02981	−	1.34896i	0.110339	−	0.0491262i
$755$	−4.11410	+	12.6619i	−0.149727	+	0.460814i
$756$	−29.6327	−	9.69902i	−1.07773	−	0.352750i
$757$	−24.1585	+	17.5522i	−0.878056	+	0.637945i	−0.932737	−	0.360559i	$-0.882586\pi$
$757$	−24.1585	+	17.5522i	−0.878056	+	0.637945i	0.0546803	+	0.998504i	$0.482586\pi$
$758$	−5.97081	+	10.3417i	−0.216869	+	0.375629i
$759$	9.68771	−	41.9338i	0.351641	−	1.52210i
$760$	6.95742	+	12.0506i	0.252372	+	0.437121i
$761$	31.8760	+	14.1921i	1.15550	+	0.514463i	0.892817	−	0.450419i	$-0.148725\pi$
$761$	31.8760	+	14.1921i	1.15550	+	0.514463i	0.262685	+	0.964882i	$0.415392\pi$
$762$	−3.73618	+	8.37538i	−0.135348	+	0.303408i
$763$	−12.5677	−	13.9578i	−0.454980	−	0.505306i
$764$	17.8134	+	12.9422i	0.644468	+	0.468233i
$765$	−8.48829	+	14.6534i	−0.306895	+	0.529796i
$766$	2.67339	−	8.22786i	0.0965936	−	0.297284i
$767$	−14.2991	−	3.03937i	−0.516312	−	0.109745i
$768$	−0.0351569	+	0.0483161i	−0.00126861	+	0.00174346i
$769$	2.80362	+	4.85600i	0.101101	+	0.175112i	0.912139	−	0.409882i	$-0.134430\pi$
$769$	2.80362	+	4.85600i	0.101101	+	0.175112i	−0.811038	+	0.584994i	$0.801097\pi$
$770$	−1.14961	+	9.40730i	−0.0414291	+	0.339016i
$771$	−22.6210	+	7.33203i	−0.814677	+	0.264057i
$772$	−2.31095	−	21.9872i	−0.0831728	−	0.791337i
$773$	−3.34979	−	10.3096i	−0.120483	−	0.370810i	0.872568	−	0.488493i	$-0.162453\pi$
$773$	−3.34979	−	10.3096i	−0.120483	−	0.370810i	−0.993051	+	0.117683i	$0.962453\pi$
$774$	−13.8315	−	2.96079i	−0.497165	−	0.106424i
$775$	−6.56697	−	4.77118i	−0.235893	−	0.171386i
$776$	0.578070	−	0.257373i	0.0207515	−	0.00923916i
$777$	−15.6891	+	9.04306i	−0.562843	+	0.324418i
$778$	5.86928	−	6.51849i	0.210424	−	0.233699i
$779$	−1.57746	−	0.702332i	−0.0565185	−	0.0251636i
$780$	−4.34153	+	20.3533i	−0.155452	+	0.728764i
$781$	2.04166	+	23.1835i	0.0730562	+	0.829572i
$782$	12.1436			0.434255
$783$	−7.60130	−	4.41051i	−0.271648	−	0.157619i
$784$	3.74186	+	11.5163i	0.133638	+	0.411295i
$785$	0.353359	+	0.392445i	0.0126119	+	0.0140070i
$786$	13.3652	−	12.0167i	0.476721	−	0.428621i
$787$	0.258858	−	2.46286i	0.00922727	−	0.0877916i	−0.988939	−	0.148322i	$-0.952613\pi$
$787$	0.258858	−	2.46286i	0.00922727	−	0.0877916i	0.998166	+	0.0605308i	$0.0192793\pi$
$788$	−17.8040	+	3.78436i	−0.634242	+	0.134812i
$789$	−11.8928	+	26.6599i	−0.423394	+	0.949119i
$790$	−0.350241	−	3.33232i	−0.0124610	−	0.118559i
$791$	−55.9640			−1.98985
$792$	5.98833	−	17.3425i	0.212786	−	0.616239i
$793$	15.4047			0.547037
$794$	−1.12485	−	10.7022i	−0.0399195	−	0.379808i
$795$	−21.8274	−	30.0883i	−0.774138	−	1.06712i
$796$	45.5667	−	9.68549i	1.61507	−	0.343293i
$797$	1.01180	−	9.62666i	0.0358399	−	0.340994i	−0.961878	−	0.273478i	$-0.911826\pi$
$797$	1.01180	−	9.62666i	0.0358399	−	0.340994i	0.997718	−	0.0675160i	$-0.0215074\pi$
$798$	−12.1706	−	3.96414i	−0.430834	−	0.140329i
$799$	2.38866	+	2.65287i	0.0845047	+	0.0938520i
$800$	3.19795	+	9.84226i	0.113064	+	0.347977i
$801$	−23.2868	+	4.91475i	−0.822799	+	0.173654i
$802$	−2.65237			−0.0936586
$803$	45.9135	−	19.5201i	1.62025	−	0.688850i
$804$	7.01861	+	6.32873i	0.247527	+	0.223197i
$805$	39.8733	+	17.7527i	1.40535	+	0.625702i
$806$	−5.11539	+	5.68121i	−0.180182	+	0.200112i
$807$	18.5884	+	10.7498i	0.654341	+	0.378412i
$808$	11.9866	−	5.33676i	0.421686	−	0.187747i
$809$	6.36318	+	4.62312i	0.223717	+	0.162540i	0.693998	−	0.719976i	$-0.255847\pi$
$809$	6.36318	+	4.62312i	0.223717	+	0.162540i	−0.470281	+	0.882517i	$0.655847\pi$
$810$	−6.89753	+	3.04722i	−0.242354	+	0.107069i
$811$	12.2076	+	37.5712i	0.428668	+	1.31930i	0.899438	+	0.437048i	$0.143976\pi$
$811$	12.2076	+	37.5712i	0.428668	+	1.31930i	−0.470770	+	0.882256i	$0.656024\pi$
$812$	1.06082	+	10.0930i	0.0372275	+	0.354196i
$813$	−6.96269	+	32.6414i	−0.244192	+	1.14478i
$814$	−2.42022	−	4.36030i	−0.0848286	−	0.152829i
$815$	−9.38994	−	16.2639i	−0.328915	−	0.569698i
$816$	−14.8808	−	1.57486i	−0.520931	−	0.0551310i
$817$	41.5375	+	8.82907i	1.45321	+	0.308890i
$818$	−3.58013	+	11.0185i	−0.125176	+	0.385253i
$819$	−20.4015	−	35.4542i	−0.712887	−	1.23887i
$820$	0.950378	+	0.690490i	0.0331886	+	0.0241130i
$821$	−2.24401	−	2.49222i	−0.0783165	−	0.0869792i	0.702713	−	0.711473i	$-0.251972\pi$
$821$	−2.24401	−	2.49222i	−0.0783165	−	0.0869792i	−0.781029	+	0.624494i	$0.785305\pi$
$822$	−1.59663	−	2.20090i	−0.0556888	−	0.0767651i
$823$	14.7097	+	6.54920i	0.512749	+	0.228291i	0.646766	−	0.762688i	$-0.276121\pi$
$823$	14.7097	+	6.54920i	0.512749	+	0.228291i	−0.134017	+	0.990979i	$0.542788\pi$
$824$	1.52523	+	2.64177i	0.0531339	+	0.0920306i
$825$	6.85906	+	9.79884i	0.238802	+	0.341152i
$826$	−3.05841	+	5.29732i	−0.106416	+	0.184317i
$827$	−12.3703	+	8.98751i	−0.430156	+	0.312526i	−0.781711	−	0.623641i	$-0.785653\pi$
$827$	−12.3703	+	8.98751i	−0.430156	+	0.312526i	0.351555	+	0.936167i	$0.385653\pi$
$828$	−31.9588	−	23.2898i	−1.11065	−	0.809376i
$829$	−13.0239	+	40.0835i	−0.452340	+	1.39216i	0.421890	+	0.906647i	$0.361367\pi$
$829$	−13.0239	+	40.0835i	−0.452340	+	1.39216i	−0.874230	+	0.485512i	$0.838633\pi$
$830$	0.0956507	−	0.0425864i	0.00332008	−	0.00147820i
$831$	3.71495	+	17.5395i	0.128870	+	0.608438i
$832$	−10.9138	+	2.31980i	−0.378369	+	0.0804247i
$833$	−10.2415	+	11.3743i	−0.354847	+	0.394098i
$834$	−5.17264	−	11.6405i	−0.179114	−	0.403077i
$835$	15.0096	−	25.9975i	0.519430	−	0.899679i
$836$	−8.37869	+	24.3788i	−0.289783	+	0.843157i
$837$	20.1417	+	2.16094i	0.696199	+	0.0746930i
$838$	−7.19483	+	5.22735i	−0.248541	+	0.180576i
$839$	−2.58954	−	0.550423i	−0.0894008	−	0.0190027i	0.162994	−	0.986627i	$-0.447885\pi$
$839$	−2.58954	−	0.550423i	−0.0894008	−	0.0190027i	−0.252395	+	0.967624i	$0.581218\pi$
$840$	16.1071	+	9.31492i	0.555749	+	0.321395i
$841$	2.73233	−	25.9963i	0.0942181	−	0.896426i
$842$	−0.656889	+	6.24988i	−0.0226379	+	0.215385i
$843$	24.6639	−	14.2161i	0.849471	−	0.489628i
$844$	−12.5354	−	2.66447i	−0.431485	−	0.0917150i
$845$	−4.12288	+	2.99545i	−0.141831	+	0.103047i
$846$	0.163882	+	1.58111i	0.00563436	+	0.0543597i
$847$	−31.0780	+	21.0141i	−1.06785	+	0.722053i
$848$	16.4232	−	28.4458i	0.563976	−	0.976834i
$849$	1.28909	−	1.77160i	0.0442415	−	0.0608012i
$850$	−2.25823	+	2.50802i	−0.0774567	+	0.0860244i
$851$	−22.4651	+	4.77510i	−0.770093	+	0.163688i
$852$	20.3327	+	6.62266i	0.696586	+	0.226889i
$853$	8.46891	−	3.77060i	0.289970	−	0.129103i	−0.256597	−	0.966519i	$-0.582601\pi$
$853$	8.46891	−	3.77060i	0.289970	−	0.129103i	0.546567	+	0.837416i	$0.315935\pi$
$854$	1.99185	−	6.13027i	0.0681596	−	0.209774i
$855$	20.6944	−	9.17809i	0.707734	−	0.313884i
$856$	−4.93314	+	3.58414i	−0.168611	+	0.122503i
$857$	10.2678	−	17.7844i	0.350742	−	0.607502i	−0.635638	−	0.771987i	$-0.719263\pi$
$857$	10.2678	−	17.7844i	0.350742	−	0.607502i	0.986380	+	0.164485i	$0.0525962\pi$
$858$	9.85326	−	5.45985i	0.336385	−	0.186396i
$859$	−18.0139	−	31.2010i	−0.614626	−	1.06456i	−0.990450	−	0.137872i	$-0.955974\pi$
$859$	−18.0139	−	31.2010i	−0.614626	−	1.06456i	0.375824	−	0.926691i	$-0.377360\pi$
$860$	−26.3922	−	11.7506i	−0.899968	−	0.400691i
$861$	−2.29650	+	0.239701i	−0.0782645	+	0.00816900i
$862$	2.15931	+	2.39816i	0.0735464	+	0.0816815i
$863$	−3.49209	−	2.53715i	−0.118872	−	0.0863656i	0.526761	−	0.850014i	$-0.323406\pi$
$863$	−3.49209	−	2.53715i	−0.118872	−	0.0863656i	−0.645633	+	0.763648i	$0.723406\pi$
$864$	−19.1553	−	17.3226i	−0.651678	−	0.589326i
$865$	6.52733	−	20.0890i	0.221936	−	0.683048i
$866$	6.71579	+	1.42749i	0.228212	+	0.0485079i
$867$	4.27621	+	9.62316i	0.145228	+	0.326820i
$868$	−11.6966	−	20.2591i	−0.397008	−	0.687637i
$869$	9.04022	−	9.70557i	0.306668	−	0.329239i
$870$	1.82279	+	1.64362i	0.0617984	+	0.0557241i
$871$	1.29598	+	12.3304i	0.0439127	+	0.417801i
$872$	−3.13804	−	9.65790i	−0.106268	−	0.327058i
$873$	−0.316717	−	0.979549i	−0.0107193	−	0.0331527i
$874$	−13.1335	−	9.54206i	−0.444248	−	0.322765i
$875$	−37.6919	+	16.7815i	−1.27422	+	0.567319i
$876$	0.0329803	−	45.8408i	0.00111430	−	1.54882i
$877$	20.8207	−	23.1237i	0.703064	−	0.780832i	−0.280797	−	0.959767i	$-0.590599\pi$
$877$	20.8207	−	23.1237i	0.703064	−	0.780832i	0.983861	+	0.178935i	$0.0572653\pi$
$878$	−11.2821	−	5.02310i	−0.380752	−	0.169522i
$879$	−39.6879	+	12.8638i	−1.33864	+	0.433886i
$880$	7.62119	−	12.7002i	0.256910	−	0.428125i
$881$	43.9267			1.47993			0.739964	−	0.672647i	$-0.234843\pi$
$881$	43.9267			1.47993			0.739964	+	0.672647i	$0.234843\pi$
$882$	−6.66851	+	1.40741i	−0.224540	+	0.0473900i
$883$	−1.81685	−	5.59170i	−0.0611420	−	0.188176i	0.915820	−	0.401589i	$-0.131542\pi$
$883$	−1.81685	−	5.59170i	−0.0611420	−	0.188176i	−0.976962	+	0.213413i	$0.931542\pi$
$884$	−15.5535	−	17.2740i	−0.523122	−	0.580986i
$885$	−2.24166	−	10.5836i	−0.0753527	−	0.355765i
$886$	1.37520	−	13.0842i	0.0462009	−	0.439572i
$887$	7.52695	−	1.59990i	0.252730	−	0.0537195i	−0.0798043	−	0.996811i	$-0.525430\pi$
$887$	7.52695	−	1.59990i	0.252730	−	0.0537195i	0.332534	+	0.943091i	$0.392096\pi$
$888$	−9.73794	+	1.01642i	−0.326784	+	0.0341087i
$889$	−3.84835	−	36.6146i	−0.129070	−	1.22801i
$890$	6.64689			0.222804
$891$	−27.0238	−	12.6773i	−0.905331	−	0.424707i
$892$	−41.3640			−1.38497
$893$	−0.498831	−	4.74606i	−0.0166927	−	0.158821i
$894$	3.42308	−	0.357290i	0.114485	−	0.0119496i
$895$	−36.5620	+	7.77150i	−1.22213	+	0.259773i
$896$	−4.03178	+	38.3598i	−0.134692	+	1.28151i
$897$	−10.7498	−	50.7533i	−0.358925	−	1.69460i
$898$	−4.65257	−	5.16720i	−0.155258	−	0.172432i
$899$	−2.03751	−	6.27081i	−0.0679547	−	0.209143i
$900$	10.7531	−	2.26948i	0.358437	−	0.0756493i
$901$	41.5180			1.38316
$902$	−0.0557818	−	0.633417i	−0.00185733	−	0.0210905i
$903$	54.0174	−	17.5084i	1.79759	−	0.582642i
$904$	−27.6422	−	12.3071i	−0.919365	−	0.409328i
$905$	−5.00651	+	5.56030i	−0.166422	+	0.184830i
$906$	0.00476382	−	6.62146i	0.000158267	−	0.219983i
$907$	−17.3487	+	7.72415i	−0.576055	+	0.256476i	−0.674019	−	0.738714i	$-0.735434\pi$
$907$	−17.3487	+	7.72415i	−0.576055	+	0.256476i	0.0979642	+	0.995190i	$0.468767\pi$
$908$	−16.9700	−	12.3294i	−0.563170	−	0.409167i
$909$	−6.56729	−	20.3114i	−0.217823	−	0.673688i
$910$	3.53024	+	10.8650i	0.117026	+	0.360170i
$911$	−5.23011	−	49.7612i	−0.173281	−	1.64866i	−0.643015	−	0.765853i	$-0.722317\pi$
$911$	−5.23011	−	49.7612i	−0.173281	−	1.64866i	0.469734	−	0.882808i	$-0.344350\pi$
$912$	14.8563	+	13.3961i	0.491943	+	0.443588i
$913$	0.375733	+	0.174946i	0.0124349	+	0.00578985i
$914$	6.04320	+	10.4671i	0.199891	+	0.346222i
$915$	4.62938	+	10.4179i	0.153043	+	0.344406i
$916$	5.26198	+	1.11847i	0.173861	+	0.0369552i
$917$	−22.2961	+	68.6205i	−0.736284	+	2.26605i
$918$	1.76887	−	8.23446i	0.0583815	−	0.271778i
$919$	−2.48708	−	1.80697i	−0.0820411	−	0.0596063i	0.546009	−	0.837780i	$-0.316147\pi$
$919$	−2.48708	−	1.80697i	−0.0820411	−	0.0596063i	−0.628050	+	0.778173i	$0.716147\pi$
$920$	15.7905	+	17.5371i	0.520598	+	0.578182i
$921$	−28.0712	+	2.92998i	−0.924976	+	0.0965462i
$922$	11.7603	+	5.23600i	0.387303	+	0.172439i
$923$	14.0270	+	24.2955i	0.461705	+	0.799696i
$924$	6.57227	+	33.8381i	0.216212	+	1.11319i
$925$	3.19142	−	5.52769i	0.104933	−	0.181749i
$926$	5.03648	−	3.65922i	0.165509	−	0.120249i
$927$	4.53670	−	2.01205i	0.149005	−	0.0660845i
$928$	−2.59765	+	7.99474i	−0.0852720	+	0.262440i
$929$	−0.827283	+	0.368330i	−0.0271423	+	0.0120845i	−0.420263	−	0.907402i	$-0.638062\pi$
$929$	−0.827283	+	0.368330i	−0.0271423	+	0.0120845i	0.393121	+	0.919487i	$0.371395\pi$
$930$	−5.37937	−	1.75214i	−0.176396	−	0.0574550i
$931$	20.0140	−	4.25410i	0.655931	−	0.139422i
$932$	28.8803	−	32.0748i	0.946004	−	1.05064i
$933$	−21.7791	+	29.9310i	−0.713014	+	0.979897i
$934$	−6.79433	+	11.7681i	−0.222317	+	0.385065i
$935$	18.7190	+	0.316034i	0.612177	+	0.0103354i
$936$	−2.28012	−	21.9983i	−0.0745280	−	0.719037i
$937$	17.8423	−	12.9632i	0.582881	−	0.423488i	−0.256881	−	0.966443i	$-0.582695\pi$
$937$	17.8423	−	12.9632i	0.582881	−	0.423488i	0.839762	+	0.542955i	$0.182695\pi$
$938$	5.07445	+	1.07861i	0.165687	+	0.0352178i
$939$	−4.67613	+	2.69528i	−0.152600	+	0.0879571i
$940$	−0.339362	+	3.22882i	−0.0110688	+	0.105312i
$941$	−0.570822	+	5.43101i	−0.0186083	+	0.177046i	−0.999878	−	0.0155906i	$-0.995037\pi$
$941$	−0.570822	+	5.43101i	−0.0186083	+	0.177046i	0.981270	+	0.192636i	$0.0617038\pi$
$942$	−0.227361	−	0.131485i	−0.00740783	−	0.00428402i
$943$	−2.86444	−	0.608856i	−0.0932791	−	0.0198271i
$944$	7.73386	−	5.61898i	0.251716	−	0.182882i
$945$	17.8460	−	24.4518i	0.580531	−	0.795417i
$946$	4.58059	+	14.9519i	0.148928	+	0.486127i
$947$	−16.2203	+	28.0944i	−0.527089	+	0.912945i	0.472412	+	0.881378i	$0.343383\pi$
$947$	−16.2203	+	28.0944i	−0.527089	+	0.912945i	−0.999502	+	0.0315677i	$0.989950\pi$
$948$	−4.94886	−	11.1369i	−0.160732	−	0.361709i
$949$	40.2410	−	44.6921i	1.30628	−	1.45077i
$950$	4.41304	−	0.938020i	0.143178	−	0.0304334i
$951$	−6.55516	−	30.9491i	−0.212566	−	1.00359i
$952$	−18.9854	+	8.45287i	−0.615322	+	0.273959i
$953$	−16.6278	+	51.1752i	−0.538628	+	1.65773i	0.197049	+	0.980394i	$0.436864\pi$
$953$	−16.6278	+	51.1752i	−0.538628	+	1.65773i	−0.735677	+	0.677333i	$0.763136\pi$
$954$	14.9410	+	10.8881i	0.483731	+	0.352516i
$955$	−17.2947	+	12.5653i	−0.559642	+	0.406604i
$956$	−6.11452	+	10.5907i	−0.197758	+	0.342527i
$957$	−0.170996	+	9.71421i	−0.00552753	+	0.314016i
$958$	−3.83130	−	6.63600i	−0.123784	−	0.214400i
$959$	9.97177	+	4.43972i	0.322005	+	0.143366i
$960$	−4.84864	−	6.68368i	−0.156489	−	0.215715i
$961$	−10.5733	−	11.7429i	−0.341075	−	0.378802i
$962$	−4.86330	−	3.53339i	−0.156799	−	0.113921i
$963$	4.94788	+	8.59853i	0.159443	+	0.277084i
$964$	4.22478	−	13.0025i	0.136071	−	0.418784i
$965$	20.9954	+	4.46271i	0.675866	+	0.143660i
$966$	−21.5871	−	2.28460i	−0.694555	−	0.0735059i
$967$	14.4075	+	24.9546i	0.463315	+	0.802486i	0.999124	−	0.0418540i	$-0.0133264\pi$
$967$	14.4075	+	24.9546i	0.463315	+	0.802486i	−0.535809	+	0.844340i	$0.679993\pi$
$968$	−19.9715	+	3.54507i	−0.641908	+	0.113943i
$969$	−5.27490	+	24.7289i	−0.169454	+	0.794408i
$970$	0.0300537	+	0.285941i	0.000964965	+	0.00918102i
$971$	1.66685	+	5.13005i	0.0534919	+	0.164631i	0.974233	−	0.225542i	$-0.0724152\pi$
$971$	1.66685	+	5.13005i	0.0534919	+	0.164631i	−0.920742	+	0.390173i	$0.872415\pi$
$972$	−20.4478	+	18.2785i	−0.655864	+	0.586284i
$973$	41.3700	+	30.0571i	1.32626	+	0.963586i
$974$	−12.0657	+	5.37199i	−0.386609	+	0.172130i
$975$	12.4811	+	7.21795i	0.399715	+	0.231159i
$976$	−6.74058	+	7.48618i	−0.215761	+	0.239627i
$977$	−3.02599	−	1.34726i	−0.0968100	−	0.0431026i	0.357760	−	0.933813i	$-0.383540\pi$
$977$	−3.02599	−	1.34726i	−0.0968100	−	0.0431026i	−0.454570	+	0.890711i	$0.650207\pi$
$978$	6.93659	+	6.25478i	0.221808	+	0.200006i
$979$	17.2734	+	19.8478i	0.552059	+	0.634338i
$980$	−13.9200			−0.444657
$981$	−16.1652	+	3.41171i	−0.516114	+	0.108928i
$982$	−5.91123	−	18.1929i	−0.188635	−	0.580559i
$983$	22.6649	+	25.1719i	0.722897	+	0.802859i	0.986843	−	0.161679i	$-0.0516908\pi$
$983$	22.6649	+	25.1719i	0.722897	+	0.802859i	−0.263946	+	0.964537i	$0.585024\pi$
$984$	−1.18702	−	0.386630i	−0.0378407	−	0.0123253i
$985$	1.84719	−	17.5749i	0.0588565	−	0.559982i
$986$	−2.68146	+	0.569962i	−0.0853951	+	0.0181513i
$987$	−3.74712	−	5.16528i	−0.119272	−	0.164413i
$988$	3.24810	+	30.9036i	0.103336	+	0.983174i
$989$	72.0183			2.29005
$990$	6.65348	+	5.02281i	0.211461	+	0.159635i
$991$	8.66640			0.275297			0.137649	−	0.990481i	$-0.456046\pi$
$991$	8.66640			0.275297			0.137649	+	0.990481i	$0.456046\pi$
$992$	−2.02542	−	19.2706i	−0.0643071	−	0.611841i
$993$	2.65750	−	5.95731i	0.0843333	−	0.189049i
$994$	11.4821	−	2.44059i	0.364189	−	0.0774107i
$995$	−4.72761	+	44.9802i	−0.149875	+	1.42597i
$996$	0.283188	−	0.254615i	0.00897316	−	0.00806779i
$997$	−20.2515	−	22.4916i	−0.641372	−	0.712316i	0.331553	−	0.943437i	$-0.392427\pi$
$997$	−20.2515	−	22.4916i	−0.641372	−	0.712316i	−0.972925	+	0.231121i	$0.925761\pi$
$998$	3.64303	+	11.2121i	0.115318	+	0.354912i
$999$	−0.0343803	+	15.9289i	−0.00108775	+	0.503969i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.25.5	yes	72
3.2	odd	2		297.2.n.b.289.5		72
9.2	odd	6		891.2.f.e.487.5		36
9.4	even	3	inner	99.2.m.b.58.5	yes	72
9.5	odd	6		297.2.n.b.91.5		72
9.7	even	3		891.2.f.f.487.5		36
11.2	odd	10		1089.2.e.o.727.9		36
11.4	even	5	inner	99.2.m.b.70.5	yes	72
11.9	even	5		1089.2.e.p.727.10		36
33.26	odd	10		297.2.n.b.235.5		72
99.2	even	30		9801.2.a.cn.1.9		18
99.4	even	15	inner	99.2.m.b.4.5	✓	72
99.13	odd	30		1089.2.e.o.364.9		36
99.20	odd	30		9801.2.a.cp.1.10		18
99.31	even	15		1089.2.e.p.364.10		36
99.59	odd	30		297.2.n.b.37.5		72
99.70	even	15		891.2.f.f.730.5		36
99.79	odd	30		9801.2.a.co.1.10		18
99.92	odd	30		891.2.f.e.730.5		36
99.97	even	15		9801.2.a.cm.1.9		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.5	✓	72	99.4	even	15	inner
99.2.m.b.25.5	yes	72	1.1	even	1	trivial
99.2.m.b.58.5	yes	72	9.4	even	3	inner
99.2.m.b.70.5	yes	72	11.4	even	5	inner
297.2.n.b.37.5		72	99.59	odd	30
297.2.n.b.91.5		72	9.5	odd	6
297.2.n.b.235.5		72	33.26	odd	10
297.2.n.b.289.5		72	3.2	odd	2
891.2.f.e.487.5		36	9.2	odd	6
891.2.f.e.730.5		36	99.92	odd	30
891.2.f.f.487.5		36	9.7	even	3
891.2.f.f.730.5		36	99.70	even	15
1089.2.e.o.364.9		36	99.13	odd	30
1089.2.e.o.727.9		36	11.2	odd	10
1089.2.e.p.364.10		36	99.31	even	15
1089.2.e.p.727.10		36	11.9	even	5
9801.2.a.cm.1.9		18	99.97	even	15
9801.2.a.cn.1.9		18	99.2	even	30
9801.2.a.co.1.10		18	99.79	odd	30
9801.2.a.cp.1.10		18	99.20	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+(0.0512706 + 0.487807i) q^{2} +(-1.72269 + 0.179809i) q^{3} +(1.72097 - 0.365803i) q^{4} +(-0.178553 + 1.69882i) q^{5} +(-0.176036 - 0.831122i) q^{6} +(2.28209 + 2.53451i) q^{7} +(0.569818 + 1.75372i) q^{8} +(2.93534 - 0.619512i) q^{9} -0.837851 q^{10} +(-2.17733 - 2.50184i) q^{11} +(-2.89892 + 0.939612i) q^{12} +(-3.65228 - 1.62610i) q^{13} +(-1.11935 + 1.24316i) q^{14} +(0.00212861 - 2.95865i) q^{15} +(2.38835 - 1.06336i) q^{16} +(2.67346 + 1.94238i) q^{17} +(0.452699 + 1.40012i) q^{18} +(-1.36513 - 4.20144i) q^{19} +(0.314149 + 2.98893i) q^{20} +(-4.38706 - 3.95584i) q^{21} +(1.10878 - 1.19039i) q^{22} +(-3.74601 - 6.48827i) q^{23} +(-1.29696 - 2.91866i) q^{24} +(2.03663 + 0.432899i) q^{25} +(0.605969 - 1.86498i) q^{26} +(-4.94529 + 1.59503i) q^{27} +(4.85453 + 3.52702i) q^{28} +(1.13169 + 1.25687i) q^{29} +(1.44336 - 0.150653i) q^{30} +(-3.56147 - 1.58567i) q^{31} +(2.48514 + 4.30439i) q^{32} +(4.20073 + 3.91840i) q^{33} +(-0.810437 + 1.40372i) q^{34} +(-4.71315 + 3.42431i) q^{35} +(4.82500 - 2.13992i) q^{36} +(0.947300 - 2.91549i) q^{37} +(1.97950 - 0.881330i) q^{38} +(6.58415 + 2.14456i) q^{39} +(-3.08100 + 0.654886i) q^{40} +(0.261546 - 0.290476i) q^{41} +(1.70476 - 2.34286i) q^{42} +(-4.80634 + 8.32483i) q^{43} +(-4.66230 - 3.50912i) q^{44} +(0.528325 + 5.09722i) q^{45} +(2.97296 - 2.15999i) q^{46} +(1.05665 + 0.224598i) q^{47} +(-3.92319 + 2.26129i) q^{48} +(-0.484141 + 4.60629i) q^{49} +(-0.106752 + 1.01568i) q^{50} +(-4.95480 - 2.86541i) q^{51} +(-6.88030 - 1.46245i) q^{52} +(10.1643 - 7.38480i) q^{53} +(-1.03161 - 2.33057i) q^{54} +(4.63895 - 3.25218i) q^{55} +(-3.14445 + 5.44635i) q^{56} +(3.10715 + 6.99232i) q^{57} +(-0.555089 + 0.616488i) q^{58} +(3.57664 - 0.760238i) q^{59} +(-1.07862 - 5.09252i) q^{60} +(-3.52005 + 1.56723i) q^{61} +(0.590902 - 1.81861i) q^{62} +(8.26885 + 6.02587i) q^{63} +(2.25785 - 1.64043i) q^{64} +(3.41458 - 5.91423i) q^{65} +(-1.69605 + 2.25004i) q^{66} +(-1.55060 - 2.68572i) q^{67} +(5.31146 + 2.36482i) q^{68} +(7.61987 + 10.5037i) q^{69} +(-1.91205 - 2.12354i) q^{70} +(-5.67699 - 4.12458i) q^{71} +(2.75906 + 4.79475i) q^{72} +(-4.64842 + 14.3064i) q^{73} +(1.47077 + 0.312621i) q^{74} +(-3.58633 - 0.379547i) q^{75} +(-3.88624 - 6.73117i) q^{76} +(1.37210 - 11.2279i) q^{77} +(-0.708557 + 3.32175i) q^{78} +(0.418023 + 3.97722i) q^{79} +(1.38001 + 4.24724i) q^{80} +(8.23241 - 3.63695i) q^{81} +(0.155106 + 0.112691i) q^{82} +(-0.114162 + 0.0508282i) q^{83} +(-8.99705 - 5.20308i) q^{84} +(-3.77711 + 4.19490i) q^{85} +(-4.30733 - 1.91775i) q^{86} +(-2.17556 - 1.96172i) q^{87} +(3.14685 - 5.24403i) q^{88} -7.93327 q^{89} +(-2.45937 + 0.519059i) q^{90} +(-4.21345 - 12.9677i) q^{91} +(-8.82019 - 9.79581i) q^{92} +(6.42044 + 2.09123i) q^{93} +(-0.0553855 + 0.526958i) q^{94} +(7.38123 - 1.56893i) q^{95} +(-5.05510 - 6.96828i) q^{96} +(-0.0358699 - 0.341280i) q^{97} -2.27180 q^{98} +(-7.94113 - 5.99487i) 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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