LMFDB - Embedded newform 99.2.m.b.70.5

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			70.5
Character	$\chi$	$=$	99.70
Dual form			99.2.m.b.58.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.448089 + 0.199502i) q^{2} +(1.49938 + 0.867104i) q^{3} +(-1.17728 + 1.30750i) q^{4} +(1.56050 + 0.694778i) q^{5} +(-0.844842 - 0.0894111i) q^{6} +(-3.33599 - 0.709088i) q^{7} +(0.569818 - 1.75372i) q^{8} +(1.49626 + 2.60023i) q^{9} -0.837851 q^{10} +(3.25533 + 0.634703i) q^{11} +(-2.89892 + 0.939612i) q^{12} +(0.417897 - 3.97602i) q^{13} +(1.63629 - 0.347803i) q^{14} +(1.73733 + 2.39485i) q^{15} +(-0.273277 - 2.60005i) q^{16} +(2.67346 - 1.94238i) q^{17} +(-1.18921 - 0.866627i) q^{18} +(-1.36513 + 4.20144i) q^{19} +(-2.74556 + 1.22240i) q^{20} +(-4.38706 - 3.95584i) q^{21} +(-1.58530 + 0.365040i) q^{22} +(-3.74601 - 6.48827i) q^{23} +(2.37503 - 2.13540i) q^{24} +(-1.39322 - 1.54733i) q^{25} +(0.605969 + 1.86498i) q^{26} +(-0.0112151 + 5.19614i) q^{27} +(4.85453 - 3.52702i) q^{28} +(-1.65433 - 0.351639i) q^{29} +(-1.25625 - 0.726504i) q^{30} +(0.407506 - 3.87716i) q^{31} +(2.48514 + 4.30439i) q^{32} +(4.33061 + 3.77437i) q^{33} +(-0.810437 + 1.40372i) q^{34} +(-4.71315 - 3.42431i) q^{35} +(-5.16132 - 1.10484i) q^{36} +(0.947300 + 2.91549i) q^{37} +(-0.226496 - 2.15496i) q^{38} +(4.07421 - 5.59919i) q^{39} +(2.10765 - 2.34078i) q^{40} +(-0.382333 + 0.0812674i) q^{41} +(2.75499 + 0.897342i) 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} +(-0.722834 - 0.802788i) q^{47} +(1.84477 - 4.13542i) q^{48} +(4.23124 + 1.88387i) q^{49} +(0.932979 + 0.415389i) q^{50} +(5.69277 - 0.594193i) q^{51} +(4.70667 + 5.22729i) 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} +(-5.68993 + 5.11582i) q^{57} +(0.811439 - 0.172477i) q^{58} +(-2.44670 + 2.71734i) q^{59} +(-5.17659 - 0.547847i) q^{60} +(0.402767 + 3.83207i) q^{61} +(0.590902 + 1.81861i) q^{62} +(-3.14772 - 9.73534i) q^{63} +(2.25785 + 1.64043i) q^{64} +(3.41458 - 5.91423i) q^{65} +(-2.69349 - 0.827287i) q^{66} +(-1.55060 - 2.68572i) q^{67} +(-0.607741 + 5.78227i) q^{68} +(0.00933600 - 12.9765i) q^{69} +(2.79506 + 0.594109i) q^{70} +(-5.67699 + 4.12458i) q^{71} +(5.41268 - 1.14236i) q^{72} +(-4.64842 - 14.3064i) q^{73} +(-1.00612 - 1.11741i) q^{74} +(-0.747266 - 3.52809i) q^{75} +(-3.88624 - 6.73117i) q^{76} +(-10.4097 - 4.42568i) q^{77} +(-0.708557 + 3.32175i) q^{78} +(-3.65339 + 1.62659i) q^{79} +(1.38001 - 4.24724i) q^{80} +(-4.52241 + 7.78125i) q^{81} +(0.155106 - 0.112691i) q^{82} +(0.0130625 + 0.124281i) q^{83} +(10.3371 - 1.07895i) q^{84} +(5.52145 - 1.17362i) q^{85} +(0.492848 - 4.68913i) q^{86} +(-2.17556 - 1.96172i) q^{87} +(2.96804 - 5.34727i) q^{88} -7.93327 q^{89} +(-1.25364 - 2.17861i) q^{90} +(-4.21345 + 12.9677i) q^{91} +(12.8935 + 2.74060i) q^{92} +(3.97291 - 5.45997i) q^{93} +(0.484051 + 0.215514i) q^{94} +(-5.04935 + 5.60787i) q^{95} +(-0.00619360 + 8.60877i) q^{96} +(0.313492 - 0.139576i) q^{97} -2.27180 q^{98} +(3.22044 + 9.41429i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.448089	+	0.199502i	−0.316846	+	0.141069i	−0.558997	−	0.829169i	$-0.688814\pi$
$2$	−0.448089	+	0.199502i	−0.316846	+	0.141069i	0.242151	+	0.970239i	$0.422147\pi$
$3$	1.49938	+	0.867104i	0.865665	+	0.500623i
$3$	1.49938	+	0.867104i	0.865665	+	0.500623i
$4$	−1.17728	+	1.30750i	−0.588639	+	0.653750i
$5$	1.56050	+	0.694778i	0.697876	+	0.310714i	0.724835	−	0.688922i	$-0.241916\pi$
$5$	1.56050	+	0.694778i	0.697876	+	0.310714i	−0.0269596	+	0.999637i	$0.508583\pi$
$6$	−0.844842	−	0.0894111i	−0.344905	−	0.0365019i
$7$	−3.33599	−	0.709088i	−1.26089	−	0.268010i	−0.471478	−	0.881878i	$-0.656280\pi$
$7$	−3.33599	−	0.709088i	−1.26089	−	0.268010i	−0.789409	+	0.613868i	$0.789613\pi$
$8$	0.569818	−	1.75372i	0.201461	−	0.620034i
$9$	1.49626	+	2.60023i	0.498753	+	0.866744i
$10$	−0.837851			−0.264952
$11$	3.25533	+	0.634703i	0.981518	+	0.191370i
$11$	3.25533	+	0.634703i	0.981518	+	0.191370i
$12$	−2.89892	+	0.939612i	−0.836847	+	0.271243i
$13$	0.417897	−	3.97602i	0.115904	−	1.10275i	−0.769731	−	0.638368i	$-0.779610\pi$
$13$	0.417897	−	3.97602i	0.115904	−	1.10275i	0.885635	−	0.464382i	$-0.153724\pi$
$14$	1.63629	−	0.347803i	0.437316	−	0.0929543i
$15$	1.73733	+	2.39485i	0.448576	+	0.618347i
$16$	−0.273277	−	2.60005i	−0.0683191	−	0.650013i
$17$	2.67346	−	1.94238i	0.648409	−	0.471097i	−0.214320	−	0.976763i	$-0.568754\pi$
$17$	2.67346	−	1.94238i	0.648409	−	0.471097i	0.862729	+	0.505667i	$0.168754\pi$
$18$	−1.18921	−	0.866627i	−0.280299	−	0.204266i
$19$	−1.36513	+	4.20144i	−0.313182	+	0.963875i	0.663314	+	0.748341i	$0.269149\pi$
$19$	−1.36513	+	4.20144i	−0.313182	+	0.963875i	−0.976496	+	0.215534i	$0.930851\pi$
$20$	−2.74556	+	1.22240i	−0.613927	+	0.273338i
$21$	−4.38706	−	3.95584i	−0.957335	−	0.863236i
$22$	−1.58530	+	0.365040i	−0.337987	+	0.0778269i
$23$	−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	$-0.452006\pi$
$24$	2.37503	−	2.13540i	0.484801	−	0.435886i
$25$	−1.39322	−	1.54733i	−0.278644	−	0.309465i
$26$	0.605969	+	1.86498i	0.118840	+	0.365753i
$27$	−0.0112151	+	5.19614i	−0.00215835	+	0.999998i
$28$	4.85453	−	3.52702i	0.917420	−	0.666544i
$29$	−1.65433	−	0.351639i	−0.307201	−	0.0652977i	0.0517316	−	0.998661i	$-0.483526\pi$
$29$	−1.65433	−	0.351639i	−0.307201	−	0.0652977i	−0.358933	+	0.933363i	$0.616859\pi$
$30$	−1.25625	−	0.726504i	−0.229359	−	0.132641i
$31$	0.407506	−	3.87716i	0.0731902	−	0.696358i	−0.894987	−	0.446092i	$-0.852815\pi$
$31$	0.407506	−	3.87716i	0.0731902	−	0.696358i	0.968177	−	0.250266i	$-0.0805181\pi$
$32$	2.48514	+	4.30439i	0.439315	+	0.760915i
$33$	4.33061	+	3.77437i	0.753862	+	0.657033i
$34$	−0.810437	+	1.40372i	−0.138989	+	0.240736i
$35$	−4.71315	−	3.42431i	−0.796668	−	0.578813i
$36$	−5.16132	−	1.10484i	−0.860220	−	0.184140i
$37$	0.947300	+	2.91549i	0.155735	+	0.479304i	0.998235	−	0.0593935i	$-0.0189167\pi$
$37$	0.947300	+	2.91549i	0.155735	+	0.479304i	−0.842499	+	0.538697i	$0.818917\pi$
$38$	−0.226496	−	2.15496i	−0.0367424	−	0.349581i
$39$	4.07421	−	5.59919i	0.652396	−	0.896589i
$40$	2.10765	−	2.34078i	0.333248	−	0.370110i
$41$	−0.382333	+	0.0812674i	−0.0597104	+	0.0126918i	−0.237670	−	0.971346i	$-0.576384\pi$
$41$	−0.382333	+	0.0812674i	−0.0597104	+	0.0126918i	0.177960	+	0.984038i	$0.443050\pi$
$42$	2.75499	+	0.897342i	0.425104	+	0.138463i
$43$	−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
$47$	−0.722834	−	0.802788i	−0.105436	−	0.117099i	0.688117	−	0.725600i	$-0.258438\pi$
$47$	−0.722834	−	0.802788i	−0.105436	−	0.117099i	−0.793553	+	0.608501i	$0.791771\pi$
$48$	1.84477	−	4.13542i	0.266270	−	0.596896i
$49$	4.23124	+	1.88387i	0.604462	+	0.269124i
$50$	0.932979	+	0.415389i	0.131943	+	0.0587449i
$51$	5.69277	−	0.594193i	0.797147	−	0.0832037i
$52$	4.70667	+	5.22729i	0.652698	+	0.724894i
$53$	10.1643	+	7.38480i	1.39618	+	1.01438i	0.995156	+	0.0983117i	$0.0313442\pi$
$53$	10.1643	+	7.38480i	1.39618	+	1.01438i	0.401020	+	0.916069i	$0.368656\pi$
$54$	−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
$57$	−5.68993	+	5.11582i	−0.753649	+	0.677608i
$58$	0.811439	−	0.172477i	0.106547	−	0.0226473i
$59$	−2.44670	+	2.71734i	−0.318534	+	0.353768i	−0.881054	−	0.473016i	$-0.843165\pi$
$59$	−2.44670	+	2.71734i	−0.318534	+	0.353768i	0.562520	+	0.826784i	$0.309832\pi$
$60$	−5.17659	−	0.547847i	−0.668294	−	0.0707267i
$61$	0.402767	+	3.83207i	0.0515690	+	0.490646i	0.989574	+	0.144025i	$0.0460045\pi$
$61$	0.402767	+	3.83207i	0.0515690	+	0.490646i	−0.938005	+	0.346621i	$0.887329\pi$
$62$	0.590902	+	1.81861i	0.0750446	+	0.230964i
$63$	−3.14772	−	9.73534i	−0.396576	−	1.22654i
$64$	2.25785	+	1.64043i	0.282232	+	0.205053i
$65$	3.41458	−	5.91423i	0.423527	−	0.733570i
$66$	−2.69349	−	0.827287i	−0.331546	−	0.101832i
$67$	−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	$0.893999\pi$
$68$	−0.607741	+	5.78227i	−0.0736994	+	0.701203i
$69$	0.00933600	−	12.9765i	0.00112392	−	1.56219i
$70$	2.79506	+	0.594109i	0.334074	+	0.0710097i
$71$	−5.67699	+	4.12458i	−0.673735	+	0.489497i	−0.871273	−	0.490798i	$-0.836705\pi$
$71$	−5.67699	+	4.12458i	−0.673735	+	0.489497i	0.197538	+	0.980295i	$0.436705\pi$
$72$	5.41268	−	1.14236i	0.637890	−	0.134629i
$73$	−4.64842	−	14.3064i	−0.544057	−	1.67443i	−0.723222	−	0.690615i	$-0.757340\pi$
$73$	−4.64842	−	14.3064i	−0.544057	−	1.67443i	0.179165	−	0.983819i	$-0.442660\pi$
$74$	−1.00612	−	1.11741i	−0.116959	−	0.129896i
$75$	−0.747266	−	3.52809i	−0.0862868	−	0.407389i
$76$	−3.88624	−	6.73117i	−0.445783	−	0.772118i
$77$	−10.4097	−	4.42568i	−1.18629	−	0.504353i
$78$	−0.708557	+	3.32175i	−0.0802283	+	0.376114i
$79$	−3.65339	+	1.62659i	−0.411038	+	0.183006i	−0.601829	−	0.798625i	$-0.705561\pi$
$79$	−3.65339	+	1.62659i	−0.411038	+	0.183006i	0.190791	+	0.981631i	$0.438895\pi$
$80$	1.38001	−	4.24724i	0.154290	−	0.474856i
$81$	−4.52241	+	7.78125i	−0.502490	+	0.864583i
$82$	0.155106	−	0.112691i	0.0171286	−	0.0124447i
$83$	0.0130625	+	0.124281i	0.00143379	+	0.0136416i	0.995215	−	0.0977052i	$-0.0311502\pi$
$83$	0.0130625	+	0.124281i	0.00143379	+	0.0136416i	−0.993782	+	0.111347i	$0.964484\pi$
$84$	10.3371	−	1.07895i	1.12787	−	0.117723i
$85$	5.52145	−	1.17362i	0.598885	−	0.127297i
$86$	0.492848	−	4.68913i	0.0531451	−	0.505642i
$87$	−2.17556	−	1.96172i	−0.233244	−	0.210318i
$88$	2.96804	−	5.34727i	0.316394	−	0.570021i
$89$	−7.93327			−0.840925			−0.420462	−	0.907310i	$-0.638132\pi$
$89$	−7.93327			−0.840925			−0.420462	+	0.907310i	$0.638132\pi$
$90$	−1.25364	−	2.17861i	−0.132146	−	0.229645i
$91$	−4.21345	+	12.9677i	−0.441690	+	1.35938i
$92$	12.8935	+	2.74060i	1.34424	+	0.285727i
$93$	3.97291	−	5.45997i	0.411971	−	0.566173i
$94$	0.484051	+	0.215514i	0.0499261	+	0.0222285i
$95$	−5.04935	+	5.60787i	−0.518052	+	0.575355i
$96$	−0.00619360	+	8.60877i	−0.000632131	+	0.878629i
$97$	0.313492	−	0.139576i	0.0318303	−	0.0141718i	−0.390760	−	0.920493i	$-0.627788\pi$
$97$	0.313492	−	0.139576i	0.0318303	−	0.0141718i	0.422590	+	0.906321i	$0.361121\pi$
$98$	−2.27180			−0.229487
$99$	3.22044	+	9.41429i	0.323666	+	0.946171i
$100$	3.66333			0.366333
$101$	6.50041	−	2.89417i	0.646815	−	0.287981i	−0.0569891	−	0.998375i	$-0.518150\pi$
$101$	6.50041	−	2.89417i	0.646815	−	0.287981i	0.703804	+	0.710394i	$0.251483\pi$
$102$	−2.43232	+	1.40197i	−0.240836	+	0.138816i
$103$	−1.10693	+	1.22938i	−0.109069	+	0.121134i	−0.795207	−	0.606338i	$-0.792638\pi$
$103$	−1.10693	+	1.22938i	−0.109069	+	0.121134i	0.686138	+	0.727472i	$0.259305\pi$
$104$	−6.73471	−	2.99848i	−0.660392	−	0.294026i
$105$	−4.09756	−	9.22112i	−0.399881	−	0.899889i
$106$	−6.02779	−	1.28125i	−0.585471	−	0.124446i
$107$	1.02187	−	3.14498i	0.0987876	−	0.304037i	−0.889435	−	0.457062i	$-0.848902\pi$
$107$	1.02187	−	3.14498i	0.0987876	−	0.304037i	0.988222	+	0.153025i	$0.0489016\pi$
$108$	−6.78075	−	6.13197i	−0.652478	−	0.590049i
$109$	−5.50709			−0.527484			−0.263742	−	0.964593i	$-0.584957\pi$
$109$	−5.50709			−0.527484			−0.263742	+	0.964593i	$0.584957\pi$
$110$	−2.72748	−	0.531787i	−0.260055	−	0.0507039i
$111$	−1.10767	+	5.19283i	−0.105136	+	0.492881i
$112$	−0.932016	+	8.86754i	−0.0880672	+	0.837904i
$113$	16.0506	−	3.41167i	1.50992	−	0.320943i	0.622761	−	0.782412i	$-0.286011\pi$
$113$	16.0506	−	3.41167i	1.50992	−	0.320943i	0.887156	+	0.461469i	$0.152677\pi$
$114$	1.52897	−	3.42749i	0.143202	−	0.321014i
$115$	−1.33772	−	12.7276i	−0.124743	−	1.18685i
$116$	2.40738	−	1.74906i	0.223519	−	0.162396i
$117$	10.9639	−	4.86253i	1.01361	−	0.449542i
$118$	0.554226	−	1.70573i	0.0510206	−	0.157025i
$119$	−10.2960	+	4.58406i	−0.943829	+	0.420220i
$120$	5.18986	−	1.68216i	0.473767	−	0.153559i
$121$	10.1943	+	4.13233i	0.926755	+	0.375667i
$122$	−0.944980	−	1.63675i	−0.0855545	−	0.148185i
$123$	−0.643729	−	0.209672i	−0.0580431	−	0.0189055i
$124$	4.58964	+	5.09731i	0.412162	+	0.457752i
$125$	−3.73834	−	11.5054i	−0.334368	−	1.02908i
$126$	3.35268	+	3.73432i	0.298680	+	0.332679i
$127$	−8.73327	+	6.34509i	−0.774952	+	0.563036i	−0.903460	−	0.428673i	$-0.858981\pi$
$127$	−8.73327	+	6.34509i	−0.774952	+	0.563036i	0.128508	+	0.991709i	$0.458981\pi$
$128$	−11.0623	−	2.35137i	−0.977780	−	0.207833i
$129$	−14.4250	+	8.31445i	−1.27005	+	0.732047i
$130$	−0.350135	+	3.33131i	−0.0307089	+	0.292175i
$131$	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	$0.458075\pi$
$132$	−10.0333	+	1.21879i	−0.873288	+	0.106082i
$133$	7.53325	−	13.0480i	0.653216	−	1.13140i
$134$	1.23061	+	0.894092i	0.106309	+	0.0772378i
$135$	−3.62767	+	8.10077i	−0.312220	+	0.697203i
$136$	−1.88301	−	5.79530i	−0.161467	−	0.496943i
$137$	−0.334546	−	3.18299i	−0.0285822	−	0.271941i	−0.999474	−	0.0324237i	$-0.989677\pi$
$137$	−0.334546	−	3.18299i	−0.0285822	−	0.271941i	0.970892	−	0.239518i	$-0.0769893\pi$
$138$	2.58466	+	5.81650i	0.220021	+	0.495133i
$139$	−10.0327	+	11.1425i	−0.850963	+	0.945090i	−0.999037	−	0.0438860i	$-0.986026\pi$
$139$	−10.0327	+	11.1425i	−0.850963	+	0.945090i	0.148073	+	0.988976i	$0.452693\pi$
$140$	10.0260	−	2.13109i	0.847350	−	0.180110i
$141$	−0.387699	−	1.83045i	−0.0326501	−	0.154152i
$142$	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
$146$	4.93705	+	5.48315i	0.408593	+	0.453789i
$147$	4.71071	+	6.49355i	0.388533	+	0.535579i
$148$	−4.92724	−	2.19375i	−0.405017	−	0.180325i
$149$	3.70089	+	1.64774i	0.303188	+	0.134988i	0.552692	−	0.833386i	$-0.313601\pi$
$149$	3.70089	+	1.64774i	0.303188	+	0.134988i	−0.249503	+	0.968374i	$0.580267\pi$
$150$	1.03870	+	1.43181i	0.0848096	+	0.116907i
$151$	−5.21519	−	5.79206i	−0.424406	−	0.471351i	0.492581	−	0.870266i	$-0.336053\pi$
$151$	−5.21519	−	5.79206i	−0.424406	−	0.471351i	−0.916988	+	0.398915i	$0.869387\pi$
$152$	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
$156$	2.52447	+	11.9188i	0.202119	+	0.954271i
$157$	−0.302396	+	0.0642763i	−0.0241339	+	0.00512981i	−0.219963	−	0.975508i	$-0.570594\pi$
$157$	−0.302396	+	0.0642763i	−0.0241339	+	0.00512981i	0.195829	+	0.980638i	$0.437260\pi$
$158$	1.31253	−	1.45772i	0.104419	−	0.115970i
$159$	8.83673	+	19.8861i	0.700799	+	1.57707i
$160$	0.887458	+	8.44360i	0.0701597	+	0.667525i
$161$	7.89590	+	24.3011i	0.622284	+	1.91519i
$162$	0.474068	−	4.38892i	0.0372463	−	0.344826i
$163$	−8.89442	−	6.46217i	−0.696665	−	0.506157i	0.182179	−	0.983265i	$-0.441685\pi$
$163$	−8.89442	−	6.46217i	−0.696665	−	0.506157i	−0.878844	+	0.477109i	$0.841685\pi$
$164$	0.343855	−	0.595575i	0.0268506	−	0.0465066i
$165$	4.13555	+	8.89870i	0.321952	+	0.692763i
$166$	−0.0306475	−	0.0530830i	−0.00237871	−	0.00412004i
$167$	1.83697	−	17.4776i	0.142149	−	1.35246i	−0.658164	−	0.752874i	$-0.728667\pi$
$167$	1.83697	−	17.4776i	0.142149	−	1.35246i	0.800313	−	0.599582i	$-0.204667\pi$
$168$	−9.43727	+	5.43956i	−0.728101	+	0.419671i
$169$	−2.91820	−	0.620282i	−0.224477	−	0.0477140i
$170$	−2.23996	+	1.62742i	−0.171797	+	0.124818i
$171$	−12.9673	+	2.73679i	−0.991634	+	0.209287i
$172$	−5.22631	−	16.0849i	−0.398503	−	1.22646i
$173$	8.27429	+	9.18953i	0.629083	+	0.698667i	0.970461	−	0.241259i	$-0.0775603\pi$
$173$	8.27429	+	9.18953i	0.629083	+	0.698667i	−0.341378	+	0.939926i	$0.610894\pi$
$174$	1.36621	+	0.444995i	0.103572	+	0.0337350i
$175$	3.55058	+	6.14978i	0.268398	+	0.464880i
$176$	0.760658	−	8.63747i	0.0573368	−	0.651074i
$177$	−6.02475	+	1.95277i	−0.452848	+	0.146779i
$178$	3.55481	−	1.58270i	0.266444	−	0.118628i
$179$	6.76200	−	20.8113i	0.505416	−	1.55551i	−0.294655	−	0.955604i	$-0.595205\pi$
$179$	6.76200	−	20.8113i	0.505416	−	1.55551i	0.800071	−	0.599906i	$-0.204795\pi$
$180$	−7.28661	−	5.31007i	−0.543112	−	0.395789i
$181$	3.54364	−	2.57460i	0.263396	−	0.191369i	−0.448247	−	0.893910i	$-0.647951\pi$
$181$	3.54364	−	2.57460i	0.263396	−	0.191369i	0.711643	+	0.702541i	$0.247951\pi$
$182$	−0.699075	−	6.65125i	−0.0518189	−	0.493024i
$183$	−2.71890	+	6.09495i	−0.200987	+	0.450552i
$184$	−13.5132	+	2.87231i	−0.996203	+	0.211750i
$185$	−0.547360	+	5.20778i	−0.0402427	+	0.382884i
$186$	−0.690939	+	3.23915i	−0.0506621	+	0.237506i
$187$	9.93581	−	4.62623i	0.726579	−	0.338304i
$188$	1.90062			0.138617
$189$	3.72193	−	17.3263i	0.270731	−	1.26031i
$190$	1.14377	−	3.52018i	0.0829781	−	0.255380i
$191$	−12.2413	−	2.60196i	−0.885746	−	0.188271i	−0.257493	−	0.966280i	$-0.582896\pi$
$191$	−12.2413	−	2.60196i	−0.885746	−	0.188271i	−0.628253	+	0.778009i	$0.716230\pi$
$192$	1.96295	+	4.41741i	0.141664	+	0.318799i
$193$	−11.4794	−	5.11094i	−0.826302	−	0.367893i	−0.0503860	−	0.998730i	$-0.516045\pi$
$193$	−11.4794	−	5.11094i	−0.826302	−	0.367893i	−0.775916	+	0.630837i	$0.782712\pi$
$194$	−0.112627	+	0.125084i	−0.00808611	+	0.00898054i
$195$	10.2480	−	5.90686i	0.733874	−	0.422999i
$196$	−7.44450	+	3.31451i	−0.531750	+	0.236750i
$197$	−10.3453			−0.737075			−0.368538	−	0.929613i	$-0.620141\pi$
$197$	−10.3453			−0.737075			−0.368538	+	0.929613i	$0.620141\pi$
$198$	−3.32121	−	3.57595i	−0.236028	−	0.254132i
$199$	26.4773			1.87693			0.938464	−	0.345376i	$-0.112249\pi$
$199$	26.4773			1.87693			0.938464	+	0.345376i	$0.112249\pi$
$200$	−3.50746	+	1.56162i	−0.248015	+	0.110423i
$201$	0.00386449	−	5.37144i	0.000272580	−	0.378872i
$202$	−2.33537	+	2.59369i	−0.164316	+	0.182491i
$203$	5.26949	+	2.34613i	0.369846	+	0.164666i
$204$	−5.92507	+	8.14283i	−0.414838	+	0.570112i
$205$	−0.653093	−	0.138819i	−0.0456140	−	0.00969555i
$206$	0.250742	−	0.771705i	0.0174700	−	0.0537672i
$207$	11.2660	−	19.4486i	0.783042	−	1.35177i
$208$	−10.4521			−0.724721
$209$	−7.11061	+	12.8106i	−0.491851	+	0.886127i
$210$	3.67570	+	3.31441i	0.253647	+	0.228716i
$211$	0.761375	−	7.24400i	0.0524152	−	0.498698i	−0.936548	−	0.350538i	$-0.885999\pi$
$211$	0.761375	−	7.24400i	0.0524152	−	0.498698i	0.988964	−	0.148159i	$-0.0473347\pi$
$212$	−21.6219	+	4.59587i	−1.48500	+	0.315646i
$213$	−12.0884	+	1.26175i	−0.828283	+	0.0864536i
$214$	0.169543	+	1.61310i	0.0115897	+	0.110269i
$215$	−13.2842	+	9.65153i	−0.905974	+	0.658229i
$216$	9.10619	+	2.98052i	0.619598	+	0.202799i
$217$	−4.10868	+	12.6452i	−0.278916	+	0.858414i
$218$	2.46767	−	1.09868i	0.167131	−	0.0744117i
$219$	5.43538	−	25.4813i	0.367289	−	1.72187i
$220$	−9.71357	+	2.23670i	−0.654889	+	0.150799i
$221$	−6.60572	−	11.4414i	−0.444349	−	0.769635i
$222$	−0.539642	−	2.54783i	−0.0362184	−	0.170999i
$223$	15.7313	+	17.4714i	1.05345	+	1.16997i	0.985042	+	0.172312i	$0.0551239\pi$
$223$	15.7313	+	17.4714i	1.05345	+	1.16997i	0.0684035	+	0.997658i	$0.478209\pi$
$224$	−5.23822	−	16.1216i	−0.349993	−	1.07717i
$225$	1.93879	−	5.93789i	0.129253	−	0.395859i
$226$	−6.51148	+	4.73086i	−0.433137	+	0.314692i
$227$	11.6617	+	2.47876i	0.774012	+	0.164521i	0.577952	−	0.816071i	$-0.303852\pi$
$227$	11.6617	+	2.47876i	0.774012	+	0.164521i	0.196060	+	0.980592i	$0.437185\pi$
$228$	0.00968551	−	13.4623i	0.000641438	−	0.891565i
$229$	−0.319603	+	3.04082i	−0.0211200	+	0.200943i	−0.999994	−	0.00352213i	$-0.998879\pi$
$229$	−0.319603	+	3.04082i	−0.0211200	+	0.200943i	0.978874	+	0.204465i	$0.0655455\pi$
$230$	3.13859	+	5.43620i	0.206953	+	0.358453i
$231$	−11.7705	−	15.6620i	−0.774444	−	1.03049i
$232$	−1.55934	+	2.70086i	−0.102376	+	0.177320i
$233$	19.8463	+	14.4192i	1.30017	+	0.944632i	0.999957	−	0.00923938i	$-0.00294103\pi$
$233$	19.8463	+	14.4192i	1.30017	+	0.944632i	0.300217	+	0.953871i	$0.402941\pi$
$234$	−3.94270	+	4.36616i	−0.257742	+	0.285425i
$235$	−0.570221	−	1.75496i	−0.0371971	−	0.114481i
$236$	−0.672471	−	6.39814i	−0.0437741	−	0.416483i
$237$	−6.88823	−	0.728993i	−0.447439	−	0.0473532i
$238$	3.69897	−	4.10813i	0.239769	−	0.266290i
$239$	6.79874	−	1.44512i	0.439774	−	0.0934768i	0.0172968	−	0.999850i	$-0.494494\pi$
$239$	6.79874	−	1.44512i	0.439774	−	0.0934768i	0.422477	+	0.906374i	$0.361161\pi$
$240$	5.75196	−	5.17160i	0.371287	−	0.333825i
$241$	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
$245$	5.29396	+	5.87954i	0.338219	+	0.375630i
$246$	0.330277	−	0.0344733i	0.0210577	−	0.00219794i
$247$	16.1345	+	7.18355i	1.02661	+	0.457078i
$248$	−6.56725	−	2.92393i	−0.417021	−	0.185670i
$249$	−0.0881793	+	0.197671i	−0.00558813	+	0.0125269i
$250$	3.97047	+	4.40965i	0.251114	+	0.278891i
$251$	−0.264684	−	0.192304i	−0.0167067	−	0.0121381i	0.579401	−	0.815043i	$-0.303287\pi$
$251$	−0.264684	−	0.192304i	−0.0167067	−	0.0121381i	−0.596107	+	0.802905i	$0.703287\pi$
$252$	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
$255$	9.29638	+	3.02797i	0.582162	+	0.189619i
$256$	−0.0337447	+	0.00717266i	−0.00210904	+	0.000448291i
$257$	−9.18661	+	10.2028i	−0.573045	+	0.636431i	−0.958090	−	0.286467i	$-0.907519\pi$
$257$	−9.18661	+	10.2028i	−0.573045	+	0.636431i	0.385045	+	0.922898i	$0.374186\pi$
$258$	4.80493	−	6.60343i	0.299142	−	0.411111i
$259$	−1.09285	−	10.3978i	−0.0679064	−	0.646087i
$260$	3.71294	+	11.4273i	0.230267	+	0.708689i
$261$	−1.56097	−	4.82778i	−0.0966213	−	0.298832i
$262$	−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	$-0.00726603\pi$
$264$	9.08684	−	5.44397i	0.559257	−	0.335053i
$265$	10.7306	+	18.5859i	0.659174	+	1.14172i
$266$	−0.772468	+	7.34954i	−0.0473631	+	0.450629i
$267$	−11.8950	−	6.87897i	−0.727959	−	0.420986i
$268$	5.33707	+	1.13443i	0.326013	+	0.0692963i
$269$	−10.0297	+	7.28700i	−0.611522	+	0.444296i	−0.849950	−	0.526864i	$-0.823368\pi$
$269$	−10.0297	+	7.28700i	−0.611522	+	0.444296i	0.238428	+	0.971160i	$0.423368\pi$
$270$	0.00939661	−	4.35359i	0.000571860	−	0.264951i
$271$	5.95460	+	18.3264i	0.361716	+	1.11325i	0.952012	+	0.306061i	$0.0990112\pi$
$271$	5.95460	+	18.3264i	0.361716	+	1.11325i	−0.590296	+	0.807187i	$0.700989\pi$
$272$	−5.78089	−	6.42032i	−0.350518	−	0.389289i
$273$	−17.5619	+	15.7899i	−1.06289	+	0.955649i
$274$	0.784919	+	1.35952i	0.0474187	+	0.0821316i
$275$	−3.55329	−	5.92133i	−0.214271	−	0.357070i
$276$	16.9558	+	15.2892i	1.02062	+	0.920302i
$277$	9.45618	−	4.21016i	0.568167	−	0.252964i	−0.102487	−	0.994734i	$-0.532680\pi$
$277$	9.45618	−	4.21016i	0.568167	−	0.252964i	0.670654	+	0.741770i	$0.266013\pi$
$278$	2.27260	−	6.99435i	0.136302	−	0.419493i
$279$	10.6912	−	4.74163i	0.640068	−	0.283874i
$280$	−8.69092	+	6.31432i	−0.519382	+	0.377353i
$281$	1.71801	+	16.3458i	0.102488	+	0.975106i	0.918057	+	0.396447i	$0.129757\pi$
$281$	1.71801	+	16.3458i	0.102488	+	0.975106i	−0.815570	+	0.578659i	$0.803576\pi$
$282$	0.538903	+	0.742859i	0.0320912	+	0.0442366i
$283$	1.23731	−	0.262999i	0.0735505	−	0.0156336i	−0.170989	−	0.985273i	$-0.554696\pi$
$283$	1.23731	−	0.262999i	0.0735505	−	0.0156336i	0.244540	+	0.969639i	$0.421363\pi$
$284$	1.29052	−	12.2785i	0.0765781	−	0.728592i
$285$	−12.4335	+	4.02999i	−0.736496	+	0.238716i
$286$	0.788917	+	6.45573i	0.0466497	+	0.381736i
$287$	1.33309			0.0786896
$288$	−7.47399	+	12.9024i	−0.440409	+	0.760282i
$289$	−1.87876	+	5.78222i	−0.110515	+	0.340130i
$290$	1.38608	+	0.294621i	0.0813935	+	0.0173007i
$291$	0.591069	+	0.0625538i	0.0346491	+	0.00366697i
$292$	24.1781	+	10.7648i	1.41492	+	0.629961i
$293$	−16.1176	+	17.9004i	−0.941602	+	1.04575i	0.0572746	+	0.998358i	$0.481759\pi$
$293$	−16.1176	+	17.9004i	−0.941602	+	1.04575i	−0.998876	+	0.0473960i	$0.984908\pi$
$294$	−3.40629	−	1.96989i	−0.198659	−	0.114886i
$295$	−5.70603	+	2.54049i	−0.332218	+	0.147913i
$296$	5.65274			0.328559
$297$	−3.33452	+	16.9080i	−0.193488	+	0.981103i
$298$	−1.98705			−0.115107
$299$	−27.3630	+	12.1828i	−1.58244	+	0.704548i
$300$	5.49272	+	3.17649i	0.317122	+	0.183395i
$301$	21.9370	−	24.3635i	1.26443	−	1.40429i
$302$	3.49240	+	1.55491i	0.200965	+	0.0894753i
$303$	12.2561	+	1.29708i	0.704095	+	0.0745156i
$304$	11.2970	+	2.40125i	0.647928	+	0.137721i
$305$	−2.03392	+	6.25977i	−0.116462	+	0.358433i
$306$	−4.86262	−	0.00699685i	−0.277977	−	0.000399983i
$307$	16.2949			0.930001			0.465001	−	0.885310i	$-0.346054\pi$
$307$	16.2949			0.930001			0.465001	+	0.885310i	$0.346054\pi$
$308$	18.0417	−	8.40042i	1.02802	−	0.478658i
$309$	−2.72571	+	0.883469i	−0.155060	+	0.0502588i
$310$	−0.341429	+	3.24848i	−0.0193919	+	0.184501i
$311$	−20.9042	+	4.44333i	−1.18537	+	0.251958i	−0.758083	−	0.652158i	$-0.773864\pi$
$311$	−20.9042	+	4.44333i	−1.18537	+	0.251958i	−0.427287	+	0.904116i	$0.640531\pi$
$312$	−7.49786	−	10.3356i	−0.424483	−	0.585135i
$313$	−0.325724	−	3.09905i	−0.0184110	−	0.175169i	0.981452	−	0.191707i	$-0.0614023\pi$
$313$	−0.325724	−	3.09905i	−0.0184110	−	0.175169i	−0.999863	+	0.0165379i	$0.994736\pi$
$314$	0.122677	−	0.0891301i	0.00692307	−	0.00502990i
$315$	1.85189	−	17.3789i	0.104342	−	0.979192i
$316$	2.17428	−	6.69176i	0.122313	−	0.376441i
$317$	−16.6858	+	7.42898i	−0.937166	+	0.417253i	−0.817739	−	0.575590i	$-0.804773\pi$
$317$	−16.6858	+	7.42898i	−0.937166	+	0.417253i	−0.119428	+	0.992843i	$0.538106\pi$
$318$	−7.92696	−	7.14780i	−0.444522	−	0.400829i
$319$	−5.16220	−	2.19471i	−0.289028	−	0.122880i
$320$	2.38364	+	4.12859i	0.133250	+	0.230795i
$321$	4.25919	−	3.82945i	0.237725	−	0.213739i
$322$	−8.38617	−	9.31379i	−0.467343	−	0.519037i
$323$	4.51117	+	13.8840i	0.251008	+	0.772524i
$324$	−4.84984	−	15.0738i	−0.269436	−	0.837431i
$325$	−6.73442	+	4.89284i	−0.373558	+	0.271406i
$326$	5.27470	+	1.12117i	0.292139	+	0.0620960i
$327$	−8.25721	−	4.77523i	−0.456625	−	0.264071i
$328$	−0.0753401	+	0.716813i	−0.00415996	+	0.0395794i
$329$	1.84212	+	3.19065i	0.101560	+	0.175906i
$330$	−3.62840	−	3.16236i	−0.199737	−	0.174082i
$331$	−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
$333$	−6.16354	+	6.82553i	−0.337760	+	0.374037i
$334$	2.66369	+	8.19799i	0.145751	+	0.448574i
$335$	−0.553729	−	5.26838i	−0.0302534	−	0.287842i
$336$	−9.08652	+	12.4876i	−0.495711	+	0.681256i
$337$	3.99215	−	4.43373i	0.217466	−	0.241521i	−0.624534	−	0.780997i	$-0.714711\pi$
$337$	3.99215	−	4.43373i	0.217466	−	0.241521i	0.842001	+	0.539477i	$0.181378\pi$
$338$	1.43136	−	0.304245i	0.0778556	−	0.0165487i
$339$	27.0242	+	8.80221i	1.46775	+	0.478070i
$340$	−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
$344$	11.8607	+	13.1726i	0.639485	+	0.710220i
$345$	9.03039	−	20.2434i	0.486180	−	1.08987i
$346$	−5.54095	−	2.46699i	−0.297883	−	0.132626i
$347$	22.2442	+	9.90376i	1.19413	+	0.531662i	0.904911	−	0.425600i	$-0.139937\pi$
$347$	22.2442	+	9.90376i	1.19413	+	0.531662i	0.289221	+	0.957262i	$0.406604\pi$
$348$	5.12618	−	0.535055i	0.274792	−	0.0286819i
$349$	11.2024	+	12.4416i	0.599652	+	0.665981i	0.964192	−	0.265207i	$-0.0854402\pi$
$349$	11.2024	+	12.4416i	0.599652	+	0.665981i	−0.364539	+	0.931188i	$0.618773\pi$
$350$	−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	$0.0981047\pi$
$354$	2.31004	−	2.07696i	0.122777	−	0.110389i
$355$	−11.7246	+	2.49214i	−0.622277	+	0.132269i
$356$	9.33967	−	10.3728i	0.495001	−	0.549755i
$357$	−19.4124	−	2.05444i	−1.02741	−	0.108733i
$358$	1.12192	+	10.6743i	0.0592952	+	0.564156i
$359$	−8.90742	−	27.4142i	−0.470116	−	1.44687i	−0.852433	−	0.522836i	$-0.824874\pi$
$359$	−8.90742	−	27.4142i	−0.470116	−	1.44687i	0.382317	−	0.924031i	$-0.375126\pi$
$360$	9.24016	+	1.97796i	0.486999	+	0.104247i
$361$	−0.417162	−	0.303086i	−0.0219559	−	0.0159519i
$362$	−1.07422	+	1.86061i	−0.0564600	+	0.0977916i
$363$	11.7019	+	15.0354i	0.614192	+	0.789156i
$364$	−11.9948	−	20.7756i	−0.628700	−	1.08894i
$365$	2.68591	−	25.5547i	0.140587	−	1.33759i
$366$	0.00235513	−	3.27351i	0.000123105	−	0.171109i
$367$	−21.8551	−	4.64545i	−1.14083	−	0.242491i	−0.401515	−	0.915852i	$-0.631516\pi$
$367$	−21.8551	−	4.64545i	−1.14083	−	0.242491i	−0.739313	+	0.673362i	$0.764850\pi$
$368$	−15.8462	+	11.5129i	−0.826038	+	0.600152i
$369$	−0.783384	−	0.872558i	−0.0407813	−	0.0454235i
$370$	−0.793696	−	2.44275i	−0.0412623	−	0.126992i
$371$	−28.6716	−	31.8431i	−1.48856	−	1.65321i
$372$	2.46170	+	11.6225i	0.127633	+	0.602598i
$373$	−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	$0.891999\pi$
$374$	−3.52918	+	4.05517i	−0.182490	+	0.209688i
$375$	4.37123	−	20.4925i	0.225729	−	1.05823i
$376$	−1.81975	+	0.810205i	−0.0938465	+	0.0417831i
$377$	−2.08946	+	6.43070i	−0.107613	+	0.331198i
$378$	1.78888	+	8.50627i	0.0920102	+	0.437515i
$379$	19.6964	−	14.3103i	1.01174	−	0.735070i	0.0471638	−	0.998887i	$-0.484982\pi$
$379$	19.6964	−	14.3103i	1.01174	−	0.735070i	0.964573	+	0.263818i	$0.0849817\pi$
$380$	−1.38780	−	13.2040i	−0.0711927	−	0.677353i
$381$	−18.5963	+	1.94103i	−0.952718	+	0.0994418i
$382$	6.00426	−	1.27625i	0.307205	−	0.0652984i
$383$	1.84366	−	17.5413i	0.0942067	−	0.896317i	−0.840719	−	0.541472i	$-0.817867\pi$
$383$	1.84366	−	17.5413i	0.0942067	−	0.896317i	0.934925	−	0.354845i	$-0.115466\pi$
$384$	−14.5477	−	13.1178i	−0.742384	−	0.669413i
$385$	−13.1694	−	14.1387i	−0.671176	−	0.720574i
$386$	6.16341			0.313709
$387$	−28.8380	−	0.0414952i	−1.46592	−	0.00210932i
$388$	−0.186572	+	0.574210i	−0.00947177	+	0.0291511i
$389$	17.4922	+	3.71808i	0.886890	+	0.188514i	0.628763	−	0.777597i	$-0.283561\pi$
$389$	17.4922	+	3.71808i	0.886890	+	0.188514i	0.258127	+	0.966111i	$0.416895\pi$
$390$	−3.41358	+	4.69129i	−0.172853	+	0.237553i
$391$	−22.6175	−	10.0700i	−1.14382	−	0.509259i
$392$	5.71481	−	6.34694i	0.288642	−	0.320569i
$393$	−0.0263626	+	36.6427i	−0.00132982	+	1.84838i
$394$	4.63563	−	2.06392i	0.233540	−	0.103979i
$395$	−6.83122			−0.343716
$396$	−16.1005	−	6.87251i	−0.809083	−	0.345357i
$397$	−21.9395			−1.10111			−0.550556	−	0.834798i	$-0.685584\pi$
$397$	−21.9395			−1.10111			−0.550556	+	0.834798i	$0.685584\pi$
$398$	−11.8642	+	5.28228i	−0.594698	+	0.264777i
$399$	22.6091	−	13.0317i	1.13187	−	0.652401i
$400$	−3.64239	+	4.04529i	−0.182120	+	0.202264i
$401$	4.94005	+	2.19945i	0.246694	+	0.109835i	0.526359	−	0.850262i	$-0.323557\pi$
$401$	4.94005	+	2.19945i	0.246694	+	0.109835i	−0.279665	+	0.960098i	$0.590223\pi$
$402$	1.06988	+	2.40765i	0.0533608	+	0.120083i
$403$	−15.2454	−	3.24051i	−0.759426	−	0.161421i
$404$	−3.86867	+	11.9065i	−0.192473	+	0.592372i
$405$	−12.4635	+	9.00054i	−0.619314	+	0.447240i
$406$	−2.82926			−0.140414
$407$	1.23330	+	10.0921i	0.0611324	+	0.500248i
$408$	2.20179	−	10.3221i	0.109005	−	0.511020i
$409$	−2.46898	+	23.4907i	−0.122083	+	1.16154i	0.746286	+	0.665625i	$0.231835\pi$
$409$	−2.46898	+	23.4907i	−0.122083	+	1.16154i	−0.868369	+	0.495918i	$0.834832\pi$
$410$	0.320338	−	0.0680899i	0.0158204	−	0.00336272i
$411$	2.25838	−	5.06259i	0.111397	−	0.249719i
$412$	−0.304238	−	2.89464i	−0.0149888	−	0.142608i
$413$	10.0890	−	7.33011i	0.496449	−	0.360691i
$414$	−1.16813	+	10.9623i	−0.0574107	+	0.538767i
$415$	−0.0659639	+	0.203016i	−0.00323804	+	0.00996567i
$416$	18.1529	−	8.08218i	0.890017	−	0.396261i
$417$	−24.7045	+	8.00733i	−1.20978	+	0.392120i
$418$	0.630444	−	7.15886i	0.0308360	−	0.350151i
$419$	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	$0.687288\pi$
$420$	16.8806	+	5.49827i	0.823688	+	0.268288i
$421$	−8.57303	−	9.52132i	−0.417824	−	0.464041i	0.497084	−	0.867702i	$-0.334404\pi$
$421$	−8.57303	−	9.52132i	−0.417824	−	0.464041i	−0.914908	+	0.403662i	$0.867737\pi$
$422$	1.10403	+	3.39785i	0.0537432	+	0.165405i
$423$	1.00589	−	3.08072i	0.0489080	−	0.149790i
$424$	18.7427	−	13.6174i	0.910226	−	0.661318i
$425$	−6.73020	−	1.43055i	−0.326463	−	0.0693918i
$426$	5.16495	−	2.97703i	0.250243	−	0.144238i
$427$	1.37364	−	13.0694i	0.0664753	−	0.632470i
$428$	2.90904	+	5.03861i	0.140614	+	0.243551i
$429$	16.8167	−	15.6413i	0.811919	−	0.755169i
$430$	4.02700	−	6.97496i	0.194199	−	0.336362i
$431$	5.32265	+	3.86713i	0.256383	+	0.186273i	0.708551	−	0.705660i	$-0.249349\pi$
$431$	5.32265	+	3.86713i	0.256383	+	0.186273i	−0.452168	+	0.891933i	$0.649349\pi$
$432$	13.5133	−	1.39082i	0.650159	−	0.0669160i
$433$	4.32555	+	13.3127i	0.207873	+	0.639767i	0.999583	+	0.0288700i	$0.00919089\pi$
$433$	4.32555	+	13.3127i	0.207873	+	0.639767i	−0.791710	+	0.610897i	$0.790809\pi$
$434$	−0.681693	−	6.48587i	−0.0327223	−	0.311332i
$435$	−2.03199	−	4.57278i	−0.0974266	−	0.219248i
$436$	6.48339	−	7.20053i	0.310498	−	0.344843i
$437$	32.3738	−	6.88127i	1.54865	−	0.329176i
$438$	2.64804	+	12.5023i	0.126528	+	0.597381i
$439$	−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
$443$	17.9477	+	19.9330i	0.852723	+	0.947045i	0.999110	−	0.0421828i	$-0.0134312\pi$
$443$	17.9477	+	19.9330i	0.852723	+	0.947045i	−0.146387	+	0.989227i	$0.546765\pi$
$444$	−5.48558	−	7.56169i	−0.260334	−	0.358862i
$445$	−12.3798	−	5.51186i	−0.586861	−	0.261287i
$446$	−10.5346	−	4.69030i	−0.498827	−	0.222092i
$447$	4.12026	+	5.67964i	0.194881	+	0.268638i
$448$	−6.36898	−	7.07347i	−0.300906	−	0.334190i
$449$	−11.4685	−	8.33234i	−0.541231	−	0.393228i	0.283311	−	0.959028i	$-0.408567\pi$
$449$	−11.4685	−	8.33234i	−0.541231	−	0.393228i	−0.824542	+	0.565801i	$0.808567\pi$
$450$	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
$453$	−2.79722	−	13.2066i	−0.131425	−	0.620500i
$454$	−5.71997	+	1.21582i	−0.268452	+	0.0570612i
$455$	−15.5847	+	17.3086i	−0.730623	+	0.811439i
$456$	5.72950	+	12.8936i	0.268309	+	0.603800i
$457$	−2.57572	−	24.5063i	−0.120487	−	1.14636i	−0.872980	−	0.487756i	$-0.837816\pi$
$457$	−2.57572	−	24.5063i	−0.120487	−	1.14636i	0.752493	−	0.658600i	$-0.228851\pi$
$458$	−0.463439	−	1.42632i	−0.0216551	−	0.0666475i
$459$	10.0629	+	13.9134i	0.469696	+	0.649424i
$460$	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	$-0.0426401\pi$
$462$	8.39884	+	4.66974i	0.390750	+	0.217256i
$463$	−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	$0.928629\pi$
$464$	−0.462189	+	4.39744i	−0.0214566	+	0.204146i
$465$	9.99318	−	5.75998i	0.463423	−	0.267113i
$466$	−11.7696	−	2.50170i	−0.545214	−	0.115889i
$467$	22.4130	−	16.2840i	1.03715	−	0.753534i	0.0674235	−	0.997724i	$-0.478522\pi$
$467$	22.4130	−	16.2840i	1.03715	−	0.753534i	0.969727	+	0.244190i	$0.0785221\pi$
$468$	−6.54976	+	20.0598i	−0.302763	+	0.927265i
$469$	3.26838	+	10.0591i	0.150920	+	0.464484i
$470$	0.605627	+	0.672617i	0.0279355	+	0.0310255i
$471$	−0.509140	−	0.165835i	−0.0234599	−	0.00764126i
$472$	3.37128	+	5.83923i	0.155176	+	0.268772i
$473$	−20.9300	+	24.0494i	−0.962363	+	1.10579i
$474$	3.23197	−	1.04756i	0.148449	−	0.0481161i
$475$	8.40291	−	3.74122i	0.385552	−	0.171659i
$476$	6.12756	−	18.8587i	0.280856	−	0.864386i
$477$	−3.99375	+	37.4792i	−0.182861	+	1.71605i
$478$	−2.75813	+	2.00390i	−0.126154	+	0.0916563i
$479$	1.63297	+	15.5366i	0.0746121	+	0.709886i	0.966332	+	0.257299i	$0.0828324\pi$
$479$	1.63297	+	15.5366i	0.0746121	+	0.709886i	−0.891720	+	0.452588i	$0.850501\pi$
$480$	−5.99085	+	13.4297i	−0.273444	+	0.612977i
$481$	11.9879	−	2.54811i	0.546603	−	0.116184i
$482$	−0.398402	+	3.79055i	−0.0181467	+	0.172655i
$483$	−9.23265	+	43.2830i	−0.420100	+	1.96945i
$484$	−17.4046	+	8.46415i	−0.791117	+	0.384734i
$485$	0.586177			0.0266169
$486$	4.51646	−	6.16957i	0.204871	−	0.279858i
$487$	8.32090	−	25.6091i	0.377056	−	1.16046i	−0.565025	−	0.825074i	$-0.691133\pi$
$487$	8.32090	−	25.6091i	0.377056	−	1.16046i	0.942081	−	0.335386i	$-0.108867\pi$
$488$	6.94988	+	1.47724i	0.314606	+	0.0668716i
$489$	−7.73271	−	17.4016i	−0.349685	−	0.786929i
$490$	−3.54514	−	1.57840i	−0.160153	−	0.0713048i
$491$	26.0959	−	28.9825i	1.17769	−	1.30796i	0.235895	−	0.971778i	$-0.424198\pi$
$491$	26.0959	−	28.9825i	1.17769	−	1.30796i	0.941797	−	0.336182i	$-0.109136\pi$
$492$	1.03199	−	0.594833i	0.0465259	−	0.0268171i
$493$	−5.10580	+	2.27325i	−0.229954	+	0.102382i
$494$	−8.66283			−0.389759
$495$	−1.51535	+	16.9285i	−0.0681101	+	0.760878i
$496$	−10.1922			−0.457642
$497$	21.8631	−	9.73408i	0.980694	−	0.436633i
$498$	7.63814e−5	−	0.106166i	3.42273e−6	−	0.00475741i
$499$	−16.0826	+	17.8616i	−0.719958	+	0.799594i	−0.986418	−	0.164252i	$-0.947479\pi$
$499$	−16.0826	+	17.8616i	−0.719958	+	0.799594i	0.266461	+	0.963846i	$0.414146\pi$
$500$	19.4444	+	8.65722i	0.869582	+	0.387163i
$501$	17.9092	−	24.6126i	0.800124	−	1.09961i
$502$	0.156967	+	0.0333644i	0.00700578	+	0.00148912i
$503$	−7.41223	+	22.8125i	−0.330495	+	1.01716i	0.638404	+	0.769701i	$0.279595\pi$
$503$	−7.41223	+	22.8125i	−0.330495	+	1.01716i	−0.968899	+	0.247457i	$0.920405\pi$
$504$	−18.8667	−	0.0271474i	−0.840389	−	0.00120924i
$505$	12.1547			0.540876
$506$	8.30702	+	8.91841i	0.369292	+	0.396472i
$507$	−3.83763	−	3.46042i	−0.170435	−	0.153683i
$508$	1.98528	−	18.8887i	0.0880827	−	0.838050i
$509$	−3.61803	+	0.769037i	−0.160367	+	0.0340870i	−0.287395	−	0.957812i	$-0.592789\pi$
$509$	−3.61803	+	0.769037i	−0.160367	+	0.0340870i	0.127029	+	0.991899i	$0.459456\pi$
$510$	−4.76969	+	0.497845i	−0.211205	+	0.0220450i
$511$	5.36264	+	51.0221i	0.237229	+	2.25709i
$512$	18.3128	−	13.3050i	0.809318	−	0.588004i
$513$	−21.8159	−	7.14052i	−0.963197	−	0.315262i
$514$	2.08094	−	6.40449i	0.0917865	−	0.282490i
$515$	−2.58151	+	1.14936i	−0.113755	+	0.0506470i
$516$	6.11111	−	28.6491i	0.269027	−	1.26121i
$517$	−1.84353	−	3.07212i	−0.0810783	−	0.135112i
$518$	2.56407	+	4.44110i	0.112659	+	0.195131i
$519$	4.43800	+	20.9532i	0.194806	+	0.919746i
$520$	−8.42621	−	9.35825i	−0.369514	−	0.410387i
$521$	−1.98178	−	6.09929i	−0.0868234	−	0.267215i	0.898213	−	0.439560i	$-0.144866\pi$
$521$	−1.98178	−	6.09929i	−0.0868234	−	0.267215i	−0.985037	+	0.172345i	$0.944866\pi$
$522$	1.66260	+	1.85186i	0.0727701	+	0.0810537i
$523$	2.21554	−	1.60969i	0.0968790	−	0.0703867i	−0.538291	−	0.842759i	$-0.680930\pi$
$523$	2.21554	−	1.60969i	0.0968790	−	0.0703867i	0.635170	+	0.772372i	$0.280930\pi$
$524$	−36.4082	−	7.73880i	−1.59050	−	0.338071i
$525$	−0.00884895	+	12.2996i	−0.000386200	+	0.536797i
$526$	−0.864124	+	8.22159i	−0.0376776	+	0.358478i
$527$	−6.44147	−	11.1570i	−0.280595	−	0.486005i
$528$	8.63010	−	12.2913i	0.375577	−	0.534908i
$529$	−16.5651	+	28.6916i	−0.720222	+	1.24746i
$530$	−8.51617	−	6.18736i	−0.369919	−	0.268762i
$531$	−10.7266	−	2.29615i	−0.465496	−	0.0996445i
$532$	8.19149	+	25.2108i	0.355146	+	1.09303i
$533$	0.163345	+	1.55413i	0.00707527	+	0.0673167i
$534$	6.70236	+	0.709322i	0.290039	+	0.0306954i
$535$	3.77969	−	4.19777i	0.163410	−	0.181485i
$536$	−5.59356	+	1.18895i	−0.241605	+	0.0513547i
$537$	28.1844	−	25.3406i	1.21624	−	1.09353i
$538$	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	0.161559	−	0.986863i	$-0.448348\pi$
$541$	−16.9114	−	12.2869i	−0.727079	−	0.528254i	−0.888638	+	0.458609i	$0.848348\pi$
$542$	−6.32434	−	7.02389i	−0.271654	−	0.301702i
$543$	7.54569	−	0.787596i	0.323817	−	0.0337990i
$544$	15.0047	+	6.68051i	0.643320	+	0.286424i
$545$	−8.59381	−	3.82621i	−0.368118	−	0.163897i
$546$	4.71915	−	10.5789i	0.201961	−	0.452735i
$547$	−28.0208	−	31.1202i	−1.19808	−	1.33060i	−0.930156	−	0.367164i	$-0.880329\pi$
$547$	−28.0208	−	31.1202i	−1.19808	−	1.33060i	−0.267925	−	0.963440i	$-0.586338\pi$
$548$	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
$552$	−22.7519	−	7.41064i	−0.968385	−	0.315418i
$553$	13.3411	−	2.83573i	0.567320	−	0.120588i
$554$	−3.39727	+	3.77305i	−0.144336	+	0.160302i
$555$	−5.33639	+	7.33380i	−0.226517	+	0.311303i
$556$	−2.75747	−	26.2355i	−0.116943	−	1.11263i
$557$	−3.87025	−	11.9114i	−0.163988	−	0.504702i	0.834973	−	0.550291i	$-0.185483\pi$
$557$	−3.87025	−	11.9114i	−0.163988	−	0.504702i	−0.998960	+	0.0455895i	$0.985483\pi$
$558$	−3.84466	+	4.25759i	−0.162758	+	0.180238i
$559$	31.0911	+	22.5890i	1.31502	+	0.955415i
$560$	−7.61538	+	13.1902i	−0.321809	+	0.557389i
$561$	18.9090	+	1.67893i	0.798337	+	0.0708843i
$562$	−4.03083	−	6.98160i	−0.170030	−	0.294501i
$563$	1.51658	−	14.4293i	0.0639161	−	0.608121i	−0.914943	−	0.403584i	$-0.867764\pi$
$563$	1.51658	−	14.4293i	0.0639161	−	0.608121i	0.978859	−	0.204537i	$-0.0655689\pi$
$564$	2.84975	+	1.64804i	0.119996	+	0.0693950i
$565$	27.4173	+	5.82774i	1.15346	+	0.245175i
$566$	−0.501956	+	0.364693i	−0.0210988	+	0.0153292i
$567$	20.6043	−	22.7514i	0.865300	−	0.955469i
$568$	3.99850	+	12.3061i	0.167773	+	0.516353i
$569$	−18.7172	−	20.7876i	−0.784666	−	0.871460i	0.209667	−	0.977773i	$-0.432762\pi$
$569$	−18.7172	−	20.7876i	−0.784666	−	0.871460i	−0.994333	+	0.106313i	$0.966095\pi$
$570$	4.76731	−	4.28630i	0.199681	−	0.179533i
$571$	−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	$0.893969\pi$
$572$	12.0040	+	20.0039i	0.501911	+	0.836404i
$573$	−16.0981	−	14.5158i	−0.672507	−	0.606405i
$574$	−0.597341	+	0.265953i	−0.0249325	+	0.0111007i
$575$	−4.82046	+	14.8359i	−0.201027	+	0.618698i
$576$	−0.887153	+	8.32544i	−0.0369647	+	0.346893i
$577$	−31.0234	+	22.5398i	−1.29152	+	0.938346i	−0.999835	−	0.0181683i	$-0.994217\pi$
$577$	−31.0234	+	22.5398i	−1.29152	+	0.938346i	−0.291687	+	0.956514i	$0.594217\pi$
$578$	−0.311714	−	2.96576i	−0.0129656	−	0.123359i
$579$	−12.7802	−	17.6170i	−0.531125	−	0.732138i
$580$	4.97191	−	1.05681i	0.206447	−	0.0438817i
$581$	0.0445499	−	0.423864i	0.00184824	−	0.0175848i
$582$	−0.277331	+	0.0898897i	−0.0114957	+	0.00372605i
$583$	28.4010	+	30.4913i	1.17625	+	1.26282i
$584$	−27.7381			−1.14781
$585$	20.4875	+	0.0294795i	0.847052	+	0.00121883i
$586$	3.65095	−	11.2365i	0.150819	−	0.464175i
$587$	0.706826	+	0.150241i	0.0291738	+	0.00620109i	0.222475	−	0.974938i	$-0.428586\pi$
$587$	0.706826	+	0.150241i	0.0291738	+	0.00620109i	−0.193302	+	0.981139i	$0.561920\pi$
$588$	−14.0361	−	1.48547i	−0.578841	−	0.0612597i
$589$	15.7333	+	7.00493i	0.648281	+	0.288633i
$590$	2.04997	−	2.27673i	0.0843961	−	0.0937313i
$591$	−15.5116	−	8.97049i	−0.638061	−	0.368997i
$592$	7.32155	−	3.25977i	0.300914	−	0.133976i
$593$	−39.6596			−1.62863			−0.814313	−	0.580426i	$-0.802886\pi$
$593$	−39.6596			−1.62863			−0.814313	+	0.580426i	$0.802886\pi$
$594$	−1.87902	−	8.24153i	−0.0770972	−	0.338154i
$595$	−19.2517			−0.789244
$596$	−6.51139	+	2.89906i	−0.266717	+	0.118750i
$597$	39.6995	+	22.9586i	1.62479	+	0.939634i
$598$	9.83054	−	10.9179i	0.402001	−	0.446467i
$599$	−18.6151	−	8.28799i	−0.760594	−	0.338638i	−0.0104783	−	0.999945i	$-0.503335\pi$
$599$	−18.6151	−	8.28799i	−0.760594	−	0.338638i	−0.750115	+	0.661307i	$0.770002\pi$
$600$	−6.61309	−	0.699874i	−0.269978	−	0.0285722i
$601$	47.3147	+	10.0570i	1.93001	+	0.410235i	0.998973	+	0.0452991i	$0.0144241\pi$
$601$	47.3147	+	10.0570i	1.93001	+	0.410235i	0.931032	+	0.364936i	$0.118909\pi$
$602$	−4.96914	+	15.2935i	−0.202527	+	0.623315i
$603$	4.66339	−	8.05045i	0.189908	−	0.327840i
$604$	13.7129			0.557968
$605$	13.0371	+	13.5313i	0.530035	+	0.550125i
$606$	−5.75059	+	1.86391i	−0.233602	+	0.0757161i
$607$	2.05945	−	19.5944i	0.0835905	−	0.795310i	−0.869766	−	0.493464i	$-0.835730\pi$
$607$	2.05945	−	19.5944i	0.0835905	−	0.795310i	0.953357	−	0.301846i	$-0.0976029\pi$
$608$	−21.4771	+	4.56511i	−0.871013	+	0.185140i
$609$	5.86661	+	8.08693i	0.237727	+	0.327699i
$610$	−0.337458	−	3.21070i	−0.0136633	−	0.129997i
$611$	−3.49397	+	2.53852i	−0.141351	+	0.102698i
$612$	−15.9446	+	7.07151i	−0.644522	+	0.285849i
$613$	1.76690	−	5.43796i	0.0713644	−	0.219637i	−0.909013	−	0.416768i	$-0.863163\pi$
$613$	1.76690	−	5.43796i	0.0713644	−	0.219637i	0.980377	+	0.197131i	$0.0631626\pi$
$614$	−7.30158	+	3.25087i	−0.294668	+	0.131194i
$615$	−0.858861	−	0.774442i	−0.0346326	−	0.0312285i
$616$	−13.6930	+	15.7339i	−0.551708	+	0.633935i
$617$	−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	$0.872562\pi$
$618$	1.04511	−	0.939656i	0.0420403	−	0.0377985i
$619$	−1.19087	−	1.32260i	−0.0478653	−	0.0531598i	0.718737	−	0.695282i	$-0.244721\pi$
$619$	−1.19087	−	1.32260i	−0.0478653	−	0.0531598i	−0.766602	+	0.642123i	$0.778054\pi$
$620$	3.62062	+	11.1431i	0.145408	+	0.447519i
$621$	33.7560	−	19.3920i	1.35458	−	0.778174i
$622$	8.48050	−	6.16144i	0.340037	−	0.247051i
$623$	26.4653	+	5.62538i	1.06031	+	0.225376i
$624$	−15.6716	−	9.06304i	−0.627366	−	0.362812i
$625$	1.07184	−	10.1979i	0.0428737	−	0.407916i
$626$	0.764220	+	1.32367i	0.0305444	+	0.0529044i
$627$	−21.7696	+	13.0423i	−0.869394	+	0.520858i
$628$	0.271963	−	0.471055i	0.0108525	−	0.0187971i
$629$	8.19556	+	5.95442i	0.326778	+	0.237418i
$630$	2.63732	+	8.15676i	0.105073	+	0.324973i
$631$	−13.8566	−	42.6461i	−0.551621	−	1.69771i	−0.704705	−	0.709501i	$-0.748921\pi$
$631$	−13.8566	−	42.6461i	−0.551621	−	1.69771i	0.153084	−	0.988213i	$-0.451079\pi$
$632$	0.770822	+	7.33388i	0.0306617	+	0.291726i
$633$	7.42289	−	10.2013i	0.295033	−	0.405465i
$634$	5.99461	−	6.65768i	0.238076	−	0.264410i
$635$	−18.0367	+	3.83381i	−0.715764	+	0.152140i
$636$	−36.4044	−	11.8575i	−1.44353	−	0.470179i
$637$	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
$641$	−18.0729	−	20.0720i	−0.713837	−	0.792797i	0.271677	−	0.962389i	$-0.412422\pi$
$641$	−18.0729	−	20.0720i	−0.713837	−	0.792797i	−0.985514	+	0.169592i	$0.945755\pi$
$642$	−1.14451	+	2.56565i	−0.0451703	+	0.101258i
$643$	−29.7427	−	13.2423i	−1.17294	−	0.522225i	−0.274610	−	0.961556i	$-0.588549\pi$
$643$	−29.7427	−	13.2423i	−1.17294	−	0.522225i	−0.898325	+	0.439331i	$0.855216\pi$
$644$	−41.0694	−	18.2853i	−1.61836	−	0.720540i
$645$	−28.2869	+	2.95250i	−1.11380	+	0.116254i
$646$	−4.79128	−	5.32126i	−0.188510	−	0.209362i
$647$	25.4705	+	18.5054i	1.00135	+	0.727523i	0.962377	−	0.271717i	$-0.0875916\pi$
$647$	25.4705	+	18.5054i	1.00135	+	0.727523i	0.0389724	+	0.999240i	$0.487592\pi$
$648$	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
$651$	−17.1252	+	15.3973i	−0.671189	+	0.603468i
$652$	18.9205	−	4.02168i	0.740984	−	0.157501i
$653$	−3.11800	+	3.46289i	−0.122017	+	0.135513i	−0.801058	−	0.598587i	$-0.795729\pi$
$653$	−3.11800	+	3.46289i	−0.122017	+	0.135513i	0.679041	+	0.734100i	$0.262396\pi$
$654$	4.65263	+	0.492395i	0.181932	+	0.0192542i
$655$	3.77741	+	35.9396i	0.147596	+	1.40428i
$656$	0.315782	+	0.971878i	0.0123292	+	0.0379455i
$657$	30.2446	−	33.4930i	1.17996	−	1.30669i
$658$	−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	$-0.0478619\pi$
$660$	−16.5038	−	5.06902i	−0.642408	−	0.197311i
$661$	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	$0.542567\pi$
$662$	0.193093	−	1.83716i	0.00750478	−	0.0714032i
$663$	0.0164631	−	22.8829i	0.000639375	−	0.888697i
$664$	0.225398	+	0.0479098i	0.00874713	+	0.00185926i
$665$	20.8211	−	15.1274i	0.807406	−	0.586615i
$666$	1.40011	−	4.28808i	0.0542530	−	0.166160i
$667$	3.91560	+	12.0510i	0.151613	+	0.466616i
$668$	20.6893	+	22.9778i	0.800495	+	0.889039i
$669$	8.43763	+	39.8369i	0.326218	+	1.54018i
$670$	1.29917	+	2.25023i	0.0501914	+	0.0869340i
$671$	−1.12109	+	12.7303i	−0.0432792	+	0.491447i
$672$	6.12503	−	28.7144i	0.236278	−	1.10768i
$673$	−34.4987	+	15.3598i	−1.32983	+	0.592077i	−0.943833	−	0.330424i	$-0.892808\pi$
$673$	−34.4987	+	15.3598i	−1.32983	+	0.592077i	−0.385994	+	0.922501i	$0.626142\pi$
$674$	−0.904299	+	2.78315i	−0.0348323	+	0.107203i
$675$	8.05574	−	7.22200i	0.310066	−	0.277975i
$676$	4.24655	−	3.08530i	0.163329	−	0.118665i
$677$	−1.97566	−	18.7971i	−0.0759307	−	0.722432i	−0.964570	−	0.263826i	$-0.915016\pi$
$677$	−1.97566	−	18.7971i	−0.0759307	−	0.722432i	0.888640	−	0.458606i	$-0.151651\pi$
$678$	−13.8653	+	1.44722i	−0.532494	+	0.0555801i
$679$	−1.14478	+	0.243330i	−0.0439326	+	0.00933815i
$680$	1.08802	−	10.3518i	0.0417237	−	0.396974i
$681$	15.3359	+	13.8285i	0.587672	+	0.529908i
$682$	0.769301	+	6.29521i	0.0294581	+	0.241056i
$683$	31.1053			1.19021			0.595105	−	0.803648i	$-0.297110\pi$
$683$	31.1053			1.19021			0.595105	+	0.803648i	$0.297110\pi$
$684$	11.6878	−	20.1767i	0.446893	−	0.771476i
$685$	1.68941	−	5.19948i	0.0645492	−	0.198662i
$686$	−3.87527	−	0.823714i	−0.147959	−	0.0314496i
$687$	−3.11591	+	4.28221i	−0.118880	+	0.163376i
$688$	22.9585	+	10.2218i	0.875283	+	0.389701i
$689$	33.6098	−	37.3274i	1.28043	−	1.42206i
$690$	−0.00782217	+	10.8724i	−0.000297785	+	0.413905i
$691$	20.2911	−	9.03419i	0.771911	−	0.343677i	0.0173008	−	0.999850i	$-0.494493\pi$
$691$	20.2911	−	9.03419i	0.771911	−	0.343677i	0.754610	+	0.656173i	$0.227826\pi$
$692$	−21.7565			−0.827057
$693$	−4.06781	−	33.6896i	−0.154523	−	1.27976i
$694$	−11.9432			−0.453358
$695$	−23.3975	+	10.4173i	−0.887520	+	0.395149i
$696$	−4.67997	+	2.69750i	−0.177394	+	0.102248i
$697$	−0.864299	+	0.959901i	−0.0327377	+	0.0363589i
$698$	−7.50180	−	3.34001i	−0.283947	−	0.126421i
$699$	17.2541	+	38.8286i	0.652611	+	1.46863i
$700$	−12.2209	−	2.59762i	−0.461905	−	0.0981810i
$701$	−9.25374	+	28.4801i	−0.349509	+	1.07568i	0.609616	+	0.792697i	$0.291323\pi$
$701$	−9.25374	+	28.4801i	−0.349509	+	1.07568i	−0.959125	+	0.282981i	$0.908677\pi$
$702$	−9.69750	+	3.12778i	−0.366009	+	0.118051i
$703$	−13.5424			−0.510763
$704$	6.30886	+	6.77319i	0.237774	+	0.255274i
$705$	0.666757	−	3.12578i	0.0251115	−	0.117724i
$706$	−0.411770	+	3.91773i	−0.0154972	+	0.147446i
$707$	−23.7375	+	5.04557i	−0.892742	+	0.189758i
$708$	4.53956	−	10.1763i	0.170607	−	0.382449i
$709$	−1.79849	−	17.1115i	−0.0675436	−	0.642635i	−0.974957	−	0.222395i	$-0.928613\pi$
$709$	−1.79849	−	17.1115i	−0.0675436	−	0.642635i	0.907413	−	0.420240i	$-0.138054\pi$
$710$	4.75647	−	3.45578i	0.178507	−	0.129693i
$711$	−9.69594	−	7.06585i	−0.363626	−	0.264990i
$712$	−4.52052	+	13.9127i	−0.169414	+	0.521402i
$713$	−26.6826	+	11.8799i	−0.999271	+	0.444904i
$714$	9.10833	−	2.95223i	0.340871	−	0.110485i
$715$	14.8694	−	17.0855i	0.556082	−	0.638961i
$716$	19.2500	+	33.3420i	0.719407	+	1.24605i
$717$	11.4469	+	3.72844i	0.427494	+	0.139241i
$718$	9.46050	+	10.5070i	0.353063	+	0.392116i
$719$	1.46013	+	4.49382i	0.0544537	+	0.167591i	0.974585	−	0.224020i	$-0.0719180\pi$
$719$	1.46013	+	4.49382i	0.0544537	+	0.167591i	−0.920131	+	0.391611i	$0.871918\pi$
$720$	13.1087	−	2.76663i	0.488531	−	0.103106i
$721$	4.56446	−	3.31628i	0.169989	−	0.123505i
$722$	0.247392	+	0.0525847i	0.00920696	+	0.00195700i
$723$	11.6607	−	6.72114i	0.433667	−	0.249962i
$724$	−0.805554	+	7.66433i	−0.0299382	+	0.284843i
$725$	1.76074	+	3.04969i	0.0653923	+	0.113263i
$726$	−8.24310	−	4.40266i	−0.305930	−	0.163398i
$727$	−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
$729$	−26.9997	−	0.116551i	−0.999991	−	0.00431670i
$730$	3.89468	+	11.9866i	0.144149	+	0.443644i
$731$	3.32043	+	31.5918i	0.122811	+	1.16847i
$732$	−4.76825	−	10.7304i	−0.176239	−	0.396608i
$733$	−32.8297	+	36.4610i	−1.21259	+	1.34672i	−0.291890	+	0.956452i	$0.594284\pi$
$733$	−32.8297	+	36.4610i	−1.21259	+	1.34672i	−0.920702	+	0.390267i	$0.872383\pi$
$734$	10.7198	−	2.27857i	0.395676	−	0.0841034i
$735$	2.83947	+	13.4061i	0.104735	+	0.494490i
$736$	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	0.795132	−	0.606437i	$-0.207402\pi$
$739$	12.6160	+	9.16603i	0.464086	+	0.337178i	−0.331046	+	0.943615i	$0.607402\pi$
$740$	−6.16478	−	6.84668i	−0.226622	−	0.251689i
$741$	17.9628	+	24.7612i	0.659881	+	0.909624i
$742$	19.2002	+	8.54847i	0.704861	+	0.313824i
$743$	10.1718	+	4.52879i	0.373168	+	0.166145i	0.584747	−	0.811216i	$-0.301194\pi$
$743$	10.1718	+	4.52879i	0.373168	+	0.166145i	−0.211579	+	0.977361i	$0.567861\pi$
$744$	−7.31143	−	10.0786i	−0.268050	−	0.369498i
$745$	4.63041	+	5.14259i	0.169645	+	0.188410i
$746$	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
$750$	2.12960	+	10.0545i	0.0777619	+	0.367140i
$751$	7.90852	−	1.68101i	0.288586	−	0.0613409i	−0.0613440	−	0.998117i	$-0.519539\pi$
$751$	7.90852	−	1.68101i	0.288586	−	0.0613409i	0.349930	+	0.936776i	$0.386205\pi$
$752$	−1.88976	+	2.09879i	−0.0689124	+	0.0765350i
$753$	−0.230113	−	0.517845i	−0.00838579	−	0.0188713i
$754$	−0.346673	−	3.29838i	−0.0126251	−	0.120120i
$755$	−4.11410	−	12.6619i	−0.149727	−	0.460814i
$756$	18.2725	+	25.2644i	0.664563	+	0.918856i
$757$	−24.1585	−	17.5522i	−0.878056	−	0.637945i	0.0546803	−	0.998504i	$-0.482586\pi$
$757$	−24.1585	−	17.5522i	−0.878056	−	0.637945i	−0.932737	+	0.360559i	$0.882586\pi$
$758$	−5.97081	+	10.3417i	−0.216869	+	0.375629i
$759$	8.26665	−	42.2369i	0.300060	−	1.53310i
$760$	6.95742	+	12.0506i	0.252372	+	0.437121i
$761$	−3.64727	+	34.7014i	−0.132213	+	1.25793i	0.704269	+	0.709933i	$0.251275\pi$
$761$	−3.64727	+	34.7014i	−0.132213	+	1.25793i	−0.836483	+	0.547993i	$0.815392\pi$
$762$	7.94556	−	4.57975i	0.287837	−	0.165907i
$763$	18.3716	+	3.90501i	0.665098	+	0.141371i
$764$	17.8134	−	12.9422i	0.644468	−	0.468233i
$765$	11.3132	+	12.6010i	0.409030	+	0.455590i
$766$	2.67339	+	8.22786i	0.0965936	+	0.297284i
$767$	9.78174	+	10.8637i	0.353198	+	0.392266i
$768$	−0.0568154	−	0.0185057i	−0.00205015	−	0.000667765i
$769$	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	$0.801097\pi$
$770$	8.72177	+	3.70806i	0.314311	+	0.133629i
$771$	−22.6210	+	7.33203i	−0.814677	+	0.264057i
$772$	20.1969	−	8.99226i	0.726904	−	0.323639i
$773$	−3.34979	+	10.3096i	−0.120483	+	0.370810i	−0.993051	−	0.117683i	$-0.962453\pi$
$773$	−3.34979	+	10.3096i	−0.120483	+	0.370810i	0.872568	+	0.488493i	$0.162453\pi$
$774$	12.9303	−	5.73465i	0.464769	−	0.206128i
$775$	−6.56697	+	4.77118i	−0.235893	+	0.171386i
$776$	−0.0661431	−	0.629310i	−0.00237440	−	0.0225909i
$777$	7.37737	−	16.5378i	0.264662	−	0.593290i
$778$	−8.57982	+	1.82370i	−0.307601	+	0.0653827i
$779$	0.180494	−	1.71729i	0.00646688	−	0.0615282i
$780$	−4.34153	+	20.3533i	−0.155452	+	0.728764i
$781$	−21.0984	+	9.82364i	−0.754958	+	0.351517i
$782$	12.1436			0.434255
$783$	1.84572	−	8.59219i	0.0659606	−	0.307060i
$784$	3.74186	−	11.5163i	0.133638	−	0.411295i
$785$	−0.516546	−	0.109795i	−0.0184363	−	0.00391876i
$786$	−7.29847	−	16.4244i	−0.260328	−	0.585840i
$787$	−2.26233	−	1.00726i	−0.0806434	−	0.0359048i	0.366019	−	0.930608i	$-0.380721\pi$
$787$	−2.26233	−	1.00726i	−0.0806434	−	0.0359048i	−0.446662	+	0.894703i	$0.647387\pi$
$788$	12.1794	−	13.5265i	0.433872	−	0.481863i
$789$	25.2918	−	14.5780i	0.900411	−	0.518989i
$790$	3.06099	−	1.36284i	0.108905	−	0.0484877i
$791$	−55.9640			−1.98985
$792$	18.3451	−	0.283317i	0.651864	−	0.0100672i
$793$	15.4047			0.547037
$794$	9.83084	−	4.37697i	0.348883	−	0.155333i
$795$	−0.0267433	+	37.1718i	−0.000948489	+	1.31835i
$796$	−31.1712	+	34.6191i	−1.10483	+	1.22704i
$797$	−8.84284	−	3.93708i	−0.313229	−	0.139459i	0.244100	−	0.969750i	$-0.421507\pi$
$797$	−8.84284	−	3.93708i	−0.313229	−	0.139459i	−0.557330	+	0.830291i	$0.688174\pi$
$798$	−7.53104	+	10.3499i	−0.266596	+	0.366383i
$799$	−3.49179	−	0.742202i	−0.123531	−	0.0262572i
$800$	3.19795	−	9.84226i	0.113064	−	0.347977i
$801$	−11.8702	−	20.6283i	−0.419414	−	0.728866i
$802$	−2.65237			−0.0936586
$803$	−6.05183	−	49.5223i	−0.213564	−	1.74760i
$804$	7.01861	+	6.32873i	0.247527	+	0.223197i
$805$	−4.56233	+	43.4077i	−0.160801	+	1.52992i
$806$	7.47777	−	1.58945i	0.263393	−	0.0559859i
$807$	−21.3569	+	2.22917i	−0.751798	+	0.0784704i
$808$	−1.37151	−	13.0491i	−0.0482496	−	0.459064i
$809$	6.36318	−	4.62312i	0.223717	−	0.162540i	−0.470281	−	0.882517i	$-0.655847\pi$
$809$	6.36318	−	4.62312i	0.223717	−	0.162540i	0.693998	+	0.719976i	$0.255847\pi$
$810$	3.78911	−	6.51952i	0.133136	−	0.229073i
$811$	12.2076	−	37.5712i	0.428668	−	1.31930i	−0.470770	−	0.882256i	$-0.656024\pi$
$811$	12.2076	−	37.5712i	0.428668	−	1.31930i	0.899438	−	0.437048i	$-0.143976\pi$
$812$	−9.27123	+	4.12782i	−0.325356	+	0.144858i
$813$	−6.96269	+	32.6414i	−0.244192	+	1.14478i
$814$	−2.56603	−	4.27612i	−0.0899392	−	0.149878i
$815$	−9.38994	−	16.2639i	−0.328915	−	0.569698i
$816$	−3.10063	−	14.6391i	−0.108544	−	0.512472i
$817$	−28.4149	−	31.5580i	−0.994113	−	1.10407i
$818$	−3.58013	−	11.0185i	−0.125176	−	0.385253i
$819$	−40.0233	+	8.44705i	−1.39853	+	0.295164i
$820$	0.950378	−	0.690490i	0.0331886	−	0.0241130i
$821$	3.28033	+	0.697257i	0.114484	+	0.0243344i	0.264798	−	0.964304i	$-0.414695\pi$
$821$	3.28033	+	0.697257i	0.114484	+	0.0243344i	−0.150313	+	0.988638i	$0.548028\pi$
$822$	−0.00195622	+	2.71904i	−6.82309e−5	+	0.0948373i
$823$	−1.68310	+	16.0136i	−0.0586691	+	0.558199i	0.925221	+	0.379428i	$0.123879\pi$
$823$	−1.68310	+	16.0136i	−0.0586691	+	0.558199i	−0.983891	+	0.178772i	$0.942788\pi$
$824$	1.52523	+	2.64177i	0.0531339	+	0.0920306i
$825$	−0.193304	−	11.9594i	−0.00672999	−	0.416372i
$826$	−3.05841	+	5.29732i	−0.106416	+	0.184317i
$827$	−12.3703	−	8.98751i	−0.430156	−	0.312526i	0.351555	−	0.936167i	$-0.385653\pi$
$827$	−12.3703	−	8.98751i	−0.430156	−	0.312526i	−0.781711	+	0.623641i	$0.785653\pi$
$828$	12.1658	+	37.6268i	0.422793	+	1.30762i
$829$	−13.0239	−	40.0835i	−0.452340	−	1.39216i	−0.874230	−	0.485512i	$-0.838633\pi$
$829$	−13.0239	−	40.0835i	−0.452340	−	1.39216i	0.421890	−	0.906647i	$-0.361367\pi$
$830$	−0.0109444	−	0.104129i	−0.000379886	−	0.00361438i
$831$	17.8290	+	1.88688i	0.618482	+	0.0654550i
$832$	7.46592	−	8.29174i	0.258834	−	0.287464i
$833$	14.9712	−	3.18223i	0.518722	−	0.110258i
$834$	9.47232	−	8.51658i	0.328000	−	0.294905i
$835$	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
$839$	1.77145	+	1.96739i	0.0611573	+	0.0679220i	0.772947	−	0.634471i	$-0.218782\pi$
$839$	1.77145	+	1.96739i	0.0611573	+	0.0679220i	−0.711790	+	0.702393i	$0.752115\pi$
$840$	−18.5061	+	1.93161i	−0.638522	+	0.0666469i
$841$	−23.8797	−	10.6319i	−0.823437	−	0.366618i
$842$	5.74100	+	2.55606i	0.197848	+	0.0880876i
$843$	−11.5975	+	25.9981i	−0.399440	+	0.895424i
$844$	8.57518	+	9.52371i	0.295170	+	0.327819i
$845$	−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
$849$	2.08324	+	0.678544i	0.0714967	+	0.0232876i
$850$	3.30112	−	0.701676i	0.113228	−	0.0240673i
$851$	15.3679	−	17.0678i	0.526805	−	0.585076i
$852$	12.5817	−	17.2910i	0.431041	−	0.592380i
$853$	−0.969018	−	9.21959i	−0.0331785	−	0.315673i	−0.998507	−	0.0546327i	$-0.982601\pi$
$853$	−0.969018	−	9.21959i	−0.0331785	−	0.315673i	0.965328	−	0.261040i	$-0.0840654\pi$
$854$	1.99185	+	6.13027i	0.0681596	+	0.209774i
$855$	−22.1369	−	4.73864i	−0.757066	−	0.162058i
$856$	−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	$0.0525962\pi$
$858$	−4.41491	+	10.3636i	−0.150723	+	0.353809i
$859$	−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	$-0.377360\pi$
$860$	3.01982	−	28.7316i	0.102975	−	0.979740i
$861$	1.99880	+	1.15593i	0.0681189	+	0.0393938i
$862$	−3.15652	−	0.670939i	−0.107511	−	0.0228523i
$863$	−3.49209	+	2.53715i	−0.118872	+	0.0863656i	−0.645633	−	0.763648i	$-0.723406\pi$
$863$	−3.49209	+	2.53715i	−0.118872	+	0.0863656i	0.526761	+	0.850014i	$0.323406\pi$
$864$	−22.3941	+	12.8649i	−0.761862	+	0.437671i
$865$	6.52733	+	20.0890i	0.221936	+	0.683048i
$866$	−4.59414	−	5.10230i	−0.156115	−	0.173383i
$867$	−7.83075	+	7.04064i	−0.265946	+	0.239113i
$868$	−11.6966	−	20.2591i	−0.397008	−	0.687637i
$869$	−12.9254	+	2.97627i	−0.438463	+	0.100963i
$870$	1.82279	+	1.64362i	0.0617984	+	0.0557241i
$871$	−11.3265	+	5.04287i	−0.383783	+	0.170871i
$872$	−3.13804	+	9.65790i	−0.106268	+	0.327058i
$873$	0.831994	+	0.606310i	0.0281587	+	0.0205205i
$874$	−13.1335	+	9.54206i	−0.444248	+	0.322765i
$875$	4.31273	+	41.0329i	0.145797	+	1.38716i
$876$	26.9179	+	37.1054i	0.909470	+	1.25367i
$877$	−30.4360	+	6.46938i	−1.02775	+	0.218455i	−0.690785	−	0.723061i	$-0.742735\pi$
$877$	−30.4360	+	6.46938i	−1.02775	+	0.218455i	−0.336968	+	0.941516i	$0.609401\pi$
$878$	1.29090	−	12.2821i	0.0435658	−	0.414501i
$879$	−39.6879	+	12.8638i	−1.33864	+	0.433886i
$880$	7.18813	−	12.9503i	0.242312	−	0.436553i
$881$	43.9267			1.47993			0.739964	−	0.672647i	$-0.234843\pi$
$881$	43.9267			1.47993			0.739964	+	0.672647i	$0.234843\pi$
$882$	−3.39921	−	5.90722i	−0.114457	−	0.198906i
$883$	−1.81685	+	5.59170i	−0.0611420	+	0.188176i	−0.976962	−	0.213413i	$-0.931542\pi$
$883$	−1.81685	+	5.59170i	−0.0611420	+	0.188176i	0.915820	+	0.401589i	$0.131542\pi$
$884$	22.7365	+	4.83279i	0.764710	+	0.162544i
$885$	−10.7583	−	1.13857i	−0.361638	−	0.0382728i
$886$	−12.0188	−	5.35113i	−0.403781	−	0.179775i
$887$	−5.14903	+	5.71858i	−0.172887	+	0.192011i	−0.823361	−	0.567518i	$-0.807904\pi$
$887$	−5.14903	+	5.71858i	−0.172887	+	0.192011i	0.650474	+	0.759529i	$0.274570\pi$
$888$	8.47559	+	4.90152i	0.284422	+	0.164484i
$889$	33.6334	−	14.9745i	1.12803	−	0.502230i
$890$	6.64689			0.222804
$891$	−19.6607	+	22.4601i	−0.658659	+	0.752442i
$892$	−41.3640			−1.38497
$893$	4.35963	−	1.94103i	0.145889	−	0.0649541i
$894$	−2.97934	−	1.72298i	−0.0996440	−	0.0576251i
$895$	25.0113	−	27.7779i	0.836036	−	0.928512i
$896$	35.2365	+	15.6883i	1.17717	+	0.524109i
$897$	−51.5911	−	5.45997i	−1.72258	−	0.182303i
$898$	6.80121	+	1.44564i	0.226959	+	0.0482417i
$899$	−2.03751	+	6.27081i	−0.0679547	+	0.209143i
$900$	5.48130	+	9.52552i	0.182710	+	0.317517i
$901$	41.5180			1.38316
$902$	0.576446	−	0.268400i	0.0191936	−	0.00893675i
$903$	54.0174	−	17.5084i	1.79759	−	0.582642i
$904$	3.16284	−	30.0924i	0.105194	−	1.00086i
$905$	7.31861	−	1.55562i	0.243279	−	0.0517105i
$906$	3.88814	+	5.35967i	0.129175	+	0.178063i
$907$	1.98505	+	18.8865i	0.0659126	+	0.627117i	0.976754	+	0.214361i	$0.0687669\pi$
$907$	1.98505	+	18.8865i	0.0659126	+	0.627117i	−0.910842	+	0.412756i	$0.864566\pi$
$908$	−16.9700	+	12.3294i	−0.563170	+	0.409167i
$909$	17.2518	+	12.5721i	0.572206	+	0.416992i
$910$	3.53024	−	10.8650i	0.117026	−	0.360170i
$911$	45.7095	−	20.3512i	1.51442	−	0.674265i	0.529667	−	0.848206i	$-0.322317\pi$
$911$	45.7095	−	20.3512i	1.51442	−	0.674265i	0.984756	+	0.173941i	$0.0556502\pi$
$912$	14.8563	+	13.3961i	0.491943	+	0.443588i
$913$	−0.0363591	+	0.412867i	−0.00120331	+	0.0136639i
$914$	6.04320	+	10.4671i	0.199891	+	0.346222i
$915$	−8.47748	+	7.62212i	−0.280257	+	0.251980i
$916$	−3.59961	−	3.99778i	−0.118935	−	0.132090i
$917$	−22.2961	−	68.6205i	−0.736284	−	2.26605i
$918$	−7.28483	−	4.22689i	−0.240435	−	0.139508i
$919$	−2.48708	+	1.80697i	−0.0820411	+	0.0596063i	−0.628050	−	0.778173i	$-0.716147\pi$
$919$	−2.48708	+	1.80697i	−0.0820411	+	0.0596063i	0.546009	+	0.837780i	$0.316147\pi$
$920$	−23.0829	−	4.90641i	−0.761019	−	0.161760i
$921$	24.4323	+	14.1294i	0.805070	+	0.465580i
$922$	−1.34562	+	12.8027i	−0.0443155	+	0.421634i
$923$	14.0270	+	24.2955i	0.461705	+	0.799696i
$924$	34.3353	+	3.04863i	1.12955	+	0.100293i
$925$	3.19142	−	5.52769i	0.104933	−	0.181749i
$926$	5.03648	+	3.65922i	0.165509	+	0.120249i
$927$	−4.85292	−	1.03882i	−0.159391	−	0.0341194i
$928$	−2.59765	−	7.99474i	−0.0852720	−	0.262440i
$929$	0.0946583	+	0.900613i	0.00310564	+	0.0295482i	0.995965	−	0.0897428i	$-0.0286045\pi$
$929$	0.0946583	+	0.900613i	0.00310564	+	0.0295482i	−0.992859	+	0.119291i	$0.961938\pi$
$930$	−3.32870	+	4.57464i	−0.109152	+	0.150008i
$931$	−13.6911	+	15.2055i	−0.448709	+	0.498342i
$932$	−42.2177	+	8.97365i	−1.38289	+	0.293942i
$933$	−35.1962	−	11.4639i	−1.15227	−	0.375312i
$934$	−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	0.839762	−	0.542955i	$-0.182695\pi$
$937$	17.8423	+	12.9632i	0.582881	+	0.423488i	−0.256881	+	0.966443i	$0.582695\pi$
$938$	−3.47133	−	3.85530i	−0.113343	−	0.125880i
$939$	2.19882	−	4.92909i	0.0717558	−	0.160855i
$940$	2.96592	+	1.32051i	0.0967376	+	0.0430703i
$941$	4.98880	+	2.22116i	0.162630	+	0.0724077i	0.486437	−	0.873715i	$-0.338296\pi$
$941$	4.98880	+	2.22116i	0.162630	+	0.0724077i	−0.323807	+	0.946123i	$0.604963\pi$
$942$	0.261224	−	0.0272658i	0.00851115	−	0.000888367i
$943$	1.95951	+	2.17625i	0.0638103	+	0.0708685i
$944$	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	$0.989950\pi$
$948$	9.06253	−	8.14814i	0.294337	−	0.264639i
$949$	−58.8250	+	12.5036i	−1.90954	+	0.405885i
$950$	−3.01887	+	3.35279i	−0.0979450	+	0.108779i
$951$	−31.4600	−	3.32946i	−1.02016	−	0.107965i
$952$	2.17233	+	20.6683i	0.0704055	+	0.669864i
$953$	−16.6278	−	51.1752i	−0.538628	−	1.65773i	−0.735677	−	0.677333i	$-0.763136\pi$
$953$	−16.6278	−	51.1752i	−0.538628	−	1.65773i	0.197049	−	0.980394i	$-0.436864\pi$
$954$	−5.68761	−	17.5907i	−0.184143	−	0.569521i
$955$	−17.2947	−	12.5653i	−0.559642	−	0.406604i
$956$	−6.11452	+	10.5907i	−0.197758	+	0.342527i
$957$	−5.83704	−	7.76686i	−0.188685	−	0.251067i
$958$	−3.83130	−	6.63600i	−0.123784	−	0.214400i
$959$	−1.14098	+	10.8557i	−0.0368440	+	0.350548i
$960$	−0.00594064	+	8.25717i	−0.000191733	+	0.266499i
$961$	15.4563	+	3.28533i	0.498589	+	0.105978i
$962$	−4.86330	+	3.53339i	−0.156799	+	0.113921i
$963$	9.70666	−	2.04862i	0.312793	−	0.0660159i
$964$	4.22478	+	13.0025i	0.136071	+	0.418784i
$965$	−14.3625	−	15.9512i	−0.462346	−	0.513487i
$966$	−4.49801	−	21.2366i	−0.144721	−	0.683275i
$967$	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	$0.679993\pi$
$968$	13.0559	−	15.5233i	0.419631	−	0.498937i
$969$	−5.27490	+	24.7289i	−0.169454	+	0.794408i
$970$	−0.262659	+	0.116943i	−0.00843348	+	0.00375483i
$971$	1.66685	−	5.13005i	0.0534919	−	0.164631i	−0.920742	−	0.390173i	$-0.872415\pi$
$971$	1.66685	−	5.13005i	0.0534919	−	0.164631i	0.974233	+	0.225542i	$0.0724152\pi$
$972$	5.79877	−	26.8066i	0.185996	−	0.859821i
$973$	41.3700	−	30.0571i	1.32626	−	0.963586i
$974$	1.38056	+	13.1352i	0.0442361	+	0.420878i
$975$	−14.3400	+	1.49677i	−0.459249	+	0.0479350i
$976$	9.85351	−	2.09443i	0.315403	−	0.0670410i
$977$	0.346236	−	3.29421i	0.0110771	−	0.105391i	−0.987586	−	0.157077i	$-0.949793\pi$
$977$	0.346236	−	3.29421i	0.0110771	−	0.105391i	0.998663	+	0.0516860i	$0.0164595\pi$
$978$	6.93659	+	6.25478i	0.221808	+	0.200006i
$979$	−25.8254	−	5.03527i	−0.825383	−	0.160928i
$980$	−13.9200			−0.444657
$981$	−8.24004	−	14.3197i	−0.263084	−	0.457194i
$982$	−5.91123	+	18.1929i	−0.188635	+	0.580559i
$983$	−33.1319	−	7.04241i	−1.05674	−	0.224618i	−0.353404	−	0.935471i	$-0.614976\pi$
$983$	−33.1319	−	7.04241i	−1.05674	−	0.224618i	−0.703341	+	0.710853i	$0.748309\pi$
$984$	−0.734515	+	1.00944i	−0.0234155	+	0.0321799i
$985$	−16.1439	−	7.18772i	−0.514387	−	0.229020i
$986$	1.83433	−	2.03723i	0.0584170	−	0.0648787i
$987$	−0.00459104	+	6.38130i	−0.000146134	+	0.203119i
$988$	−28.3873	+	12.6389i	−0.903121	+	0.402095i
$989$	72.0183			2.29005
$990$	−2.69825	−	7.88776i	−0.0857559	−	0.250690i
$991$	8.66640			0.275297			0.137649	−	0.990481i	$-0.456046\pi$
$991$	8.66640			0.275297			0.137649	+	0.990481i	$0.456046\pi$
$992$	17.7015	−	7.88122i	0.562023	−	0.250229i
$993$	−5.65158	+	3.25752i	−0.179348	+	0.103374i
$994$	−7.85464	+	8.72346i	−0.249134	+	0.276691i
$995$	41.3178	+	18.3959i	1.30986	+	0.583189i
$996$	−0.154643	−	0.348008i	−0.00490006	−	0.0110271i
$997$	29.6040	+	6.29253i	0.937569	+	0.199286i	0.651263	−	0.758852i	$-0.274239\pi$
$997$	29.6040	+	6.29253i	0.937569	+	0.199286i	0.286306	+	0.958138i	$0.407573\pi$
$998$	3.64303	−	11.2121i	0.115318	−	0.354912i
$999$	−15.1599	+	4.88961i	−0.479639	+	0.154700i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.70.5	yes	72
3.2	odd	2		297.2.n.b.235.5		72
9.2	odd	6		891.2.f.e.730.5		36
9.4	even	3	inner	99.2.m.b.4.5	✓	72
9.5	odd	6		297.2.n.b.37.5		72
9.7	even	3		891.2.f.f.730.5		36
11.3	even	5	inner	99.2.m.b.25.5	yes	72
11.5	even	5		1089.2.e.p.727.10		36
11.6	odd	10		1089.2.e.o.727.9		36
33.14	odd	10		297.2.n.b.289.5		72
99.14	odd	30		297.2.n.b.91.5		72
99.16	even	15		9801.2.a.cm.1.9		18
99.25	even	15		891.2.f.f.487.5		36
99.38	odd	30		9801.2.a.cp.1.10		18
99.47	odd	30		891.2.f.e.487.5		36
99.49	even	15		1089.2.e.p.364.10		36
99.58	even	15	inner	99.2.m.b.58.5	yes	72
99.61	odd	30		9801.2.a.co.1.10		18
99.83	even	30		9801.2.a.cn.1.9		18
99.94	odd	30		1089.2.e.o.364.9		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.5	✓	72	9.4	even	3	inner
99.2.m.b.25.5	yes	72	11.3	even	5	inner
99.2.m.b.58.5	yes	72	99.58	even	15	inner
99.2.m.b.70.5	yes	72	1.1	even	1	trivial
297.2.n.b.37.5		72	9.5	odd	6
297.2.n.b.91.5		72	99.14	odd	30
297.2.n.b.235.5		72	3.2	odd	2
297.2.n.b.289.5		72	33.14	odd	10
891.2.f.e.487.5		36	99.47	odd	30
891.2.f.e.730.5		36	9.2	odd	6
891.2.f.f.487.5		36	99.25	even	15
891.2.f.f.730.5		36	9.7	even	3
1089.2.e.o.364.9		36	99.94	odd	30
1089.2.e.o.727.9		36	11.6	odd	10
1089.2.e.p.364.10		36	99.49	even	15
1089.2.e.p.727.10		36	11.5	even	5
9801.2.a.cm.1.9		18	99.16	even	15
9801.2.a.cn.1.9		18	99.83	even	30
9801.2.a.co.1.10		18	99.61	odd	30
9801.2.a.cp.1.10		18	99.38	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+(-0.448089 + 0.199502i) q^{2} +(1.49938 + 0.867104i) q^{3} +(-1.17728 + 1.30750i) q^{4} +(1.56050 + 0.694778i) q^{5} +(-0.844842 - 0.0894111i) q^{6} +(-3.33599 - 0.709088i) q^{7} +(0.569818 - 1.75372i) q^{8} +(1.49626 + 2.60023i) q^{9} -0.837851 q^{10} +(3.25533 + 0.634703i) q^{11} +(-2.89892 + 0.939612i) q^{12} +(0.417897 - 3.97602i) q^{13} +(1.63629 - 0.347803i) q^{14} +(1.73733 + 2.39485i) q^{15} +(-0.273277 - 2.60005i) q^{16} +(2.67346 - 1.94238i) q^{17} +(-1.18921 - 0.866627i) q^{18} +(-1.36513 + 4.20144i) q^{19} +(-2.74556 + 1.22240i) q^{20} +(-4.38706 - 3.95584i) q^{21} +(-1.58530 + 0.365040i) q^{22} +(-3.74601 - 6.48827i) q^{23} +(2.37503 - 2.13540i) q^{24} +(-1.39322 - 1.54733i) q^{25} +(0.605969 + 1.86498i) q^{26} +(-0.0112151 + 5.19614i) q^{27} +(4.85453 - 3.52702i) q^{28} +(-1.65433 - 0.351639i) q^{29} +(-1.25625 - 0.726504i) q^{30} +(0.407506 - 3.87716i) q^{31} +(2.48514 + 4.30439i) q^{32} +(4.33061 + 3.77437i) q^{33} +(-0.810437 + 1.40372i) q^{34} +(-4.71315 - 3.42431i) q^{35} +(-5.16132 - 1.10484i) q^{36} +(0.947300 + 2.91549i) q^{37} +(-0.226496 - 2.15496i) q^{38} +(4.07421 - 5.59919i) q^{39} +(2.10765 - 2.34078i) q^{40} +(-0.382333 + 0.0812674i) q^{41} +(2.75499 + 0.897342i) 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} +(-0.722834 - 0.802788i) q^{47} +(1.84477 - 4.13542i) q^{48} +(4.23124 + 1.88387i) q^{49} +(0.932979 + 0.415389i) q^{50} +(5.69277 - 0.594193i) q^{51} +(4.70667 + 5.22729i) 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} +(-5.68993 + 5.11582i) q^{57} +(0.811439 - 0.172477i) q^{58} +(-2.44670 + 2.71734i) q^{59} +(-5.17659 - 0.547847i) q^{60} +(0.402767 + 3.83207i) q^{61} +(0.590902 + 1.81861i) q^{62} +(-3.14772 - 9.73534i) q^{63} +(2.25785 + 1.64043i) q^{64} +(3.41458 - 5.91423i) q^{65} +(-2.69349 - 0.827287i) q^{66} +(-1.55060 - 2.68572i) q^{67} +(-0.607741 + 5.78227i) q^{68} +(0.00933600 - 12.9765i) q^{69} +(2.79506 + 0.594109i) q^{70} +(-5.67699 + 4.12458i) q^{71} +(5.41268 - 1.14236i) q^{72} +(-4.64842 - 14.3064i) q^{73} +(-1.00612 - 1.11741i) q^{74} +(-0.747266 - 3.52809i) q^{75} +(-3.88624 - 6.73117i) q^{76} +(-10.4097 - 4.42568i) q^{77} +(-0.708557 + 3.32175i) q^{78} +(-3.65339 + 1.62659i) q^{79} +(1.38001 - 4.24724i) q^{80} +(-4.52241 + 7.78125i) q^{81} +(0.155106 - 0.112691i) q^{82} +(0.0130625 + 0.124281i) q^{83} +(10.3371 - 1.07895i) q^{84} +(5.52145 - 1.17362i) q^{85} +(0.492848 - 4.68913i) q^{86} +(-2.17556 - 1.96172i) q^{87} +(2.96804 - 5.34727i) q^{88} -7.93327 q^{89} +(-1.25364 - 2.17861i) q^{90} +(-4.21345 + 12.9677i) q^{91} +(12.8935 + 2.74060i) q^{92} +(3.97291 - 5.45997i) q^{93} +(0.484051 + 0.215514i) q^{94} +(-5.04935 + 5.60787i) q^{95} +(-0.00619360 + 8.60877i) q^{96} +(0.313492 - 0.139576i) q^{97} -2.27180 q^{98} +(3.22044 + 9.41429i) 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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