LMFDB - Embedded newform 99.2.m.b.4.2

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			4.2
Character	$\chi$	$=$	99.4
Dual form			99.2.m.b.25.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.161615 + 1.53767i) q^{2} +(1.18421 - 1.26398i) q^{3} +(-0.382004 - 0.0811974i) q^{4} +(-0.0618842 - 0.588789i) q^{5} +(1.75219 + 2.02520i) q^{6} +(0.483079 - 0.536514i) q^{7} +(-0.768973 + 2.36665i) q^{8} +(-0.195290 - 2.99364i) q^{9} +0.915362 q^{10} +(-2.56419 + 2.10355i) q^{11} +(-0.555005 + 0.386690i) q^{12} +(-1.43880 + 0.640596i) q^{13} +(0.746906 + 0.829524i) q^{14} +(-0.817501 - 0.619030i) q^{15} +(-4.22840 - 1.88260i) q^{16} +(-3.71501 + 2.69911i) q^{17} +(4.63478 + 0.183526i) q^{18} +(0.775200 - 2.38582i) q^{19} +(-0.0241681 + 0.229944i) q^{20} +(-0.106075 - 1.24595i) q^{21} +(-2.82014 - 4.28284i) q^{22} +(2.22600 - 3.85554i) q^{23} +(2.08078 + 3.77458i) q^{24} +(4.54790 - 0.966685i) q^{25} +(-0.752490 - 2.31593i) q^{26} +(-4.01516 - 3.29825i) q^{27} +(-0.228102 + 0.165726i) q^{28} +(4.66961 - 5.18613i) q^{29} +(1.08398 - 1.15700i) q^{30} +(-8.33906 + 3.71279i) q^{31} +(1.08974 - 1.88749i) q^{32} +(-0.377707 + 5.73213i) q^{33} +(-3.54993 - 6.14866i) q^{34} +(-0.345788 - 0.251230i) q^{35} +(-0.168474 + 1.15944i) q^{36} +(0.893583 + 2.75017i) q^{37} +(3.54331 + 1.57758i) q^{38} +(-0.894144 + 2.57722i) q^{39} +(1.44105 + 0.306304i) q^{40} +(-0.772257 - 0.857678i) q^{41} +(1.93300 + 0.0382560i) q^{42} +(2.10724 + 3.64985i) q^{43} +(1.15033 - 0.595357i) q^{44} +(-1.75053 + 0.300244i) q^{45} +(5.56879 + 4.04596i) q^{46} +(0.222583 - 0.0473114i) q^{47} +(-7.38688 + 3.11521i) q^{48} +(0.677218 + 6.44330i) q^{49} +(0.751430 + 7.14938i) q^{50} +(-0.987730 + 7.89201i) q^{51} +(0.601643 - 0.127883i) q^{52} +(4.61430 + 3.35249i) q^{53} +(5.72053 - 5.64093i) q^{54} +(1.39723 + 1.37959i) q^{55} +(0.898268 + 1.55585i) q^{56} +(-2.09763 - 3.80515i) q^{57} +(7.21985 + 8.01846i) q^{58} +(-6.97767 - 1.48315i) q^{59} +(0.262025 + 0.302851i) q^{60} +(4.16481 + 1.85429i) q^{61} +(-4.36131 - 13.4227i) q^{62} +(-1.70047 - 1.34139i) q^{63} +(-4.76295 - 3.46049i) q^{64} +(0.466215 + 0.807507i) q^{65} +(-8.75306 - 1.50719i) q^{66} +(4.04571 - 7.00738i) q^{67} +(1.63831 - 0.729422i) q^{68} +(-2.23728 - 7.37940i) q^{69} +(0.442192 - 0.491104i) q^{70} +(9.95852 - 7.23528i) q^{71} +(7.23508 + 1.83984i) q^{72} +(4.78461 + 14.7255i) q^{73} +(-4.37326 + 0.929564i) q^{74} +(4.16380 - 6.89321i) q^{75} +(-0.489852 + 0.848448i) q^{76} +(-0.110128 + 2.39191i) q^{77} +(-3.81839 - 1.79141i) q^{78} +(1.52816 - 14.5395i) q^{79} +(-0.846785 + 2.60614i) q^{80} +(-8.92372 + 1.16926i) q^{81} +(1.44363 - 1.04886i) q^{82} +(-6.35188 - 2.82804i) q^{83} +(-0.0606466 + 0.484570i) q^{84} +(1.81911 + 2.02032i) q^{85} +(-5.95281 + 2.65036i) q^{86} +(-1.02536 - 12.0438i) q^{87} +(-3.00657 - 7.68613i) q^{88} +12.4803 q^{89} +(-0.178761 - 2.74026i) q^{90} +(-0.351367 + 1.08140i) q^{91} +(-1.16340 + 1.29209i) q^{92} +(-5.18232 + 14.9371i) q^{93} +(0.0367764 + 0.349904i) q^{94} +(-1.45272 - 0.308785i) q^{95} +(-1.09526 - 3.61260i) q^{96} +(-1.48226 + 14.1028i) q^{97} -10.0171 q^{98} +(6.79802 + 7.26547i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.161615	+	1.53767i	−0.114279	+	1.08729i	0.775640	+	0.631176i	$0.217427\pi$
$2$	−0.161615	+	1.53767i	−0.114279	+	1.08729i	−0.889919	+	0.456119i	$0.849239\pi$
$3$	1.18421	−	1.26398i	0.683704	−	0.729759i
$3$	1.18421	−	1.26398i	0.683704	−	0.729759i
$4$	−0.382004	−	0.0811974i	−0.191002	−	0.0405987i
$5$	−0.0618842	−	0.588789i	−0.0276755	−	0.263314i	−0.999607	−	0.0280487i	$-0.991071\pi$
$5$	−0.0618842	−	0.588789i	−0.0276755	−	0.263314i	0.971931	−	0.235266i	$-0.0755960\pi$
$6$	1.75219	+	2.02520i	0.715330	+	0.826784i
$7$	0.483079	−	0.536514i	0.182587	−	0.202783i	−0.644902	−	0.764265i	$-0.723102\pi$
$7$	0.483079	−	0.536514i	0.182587	−	0.202783i	0.827489	+	0.561482i	$0.189769\pi$
$8$	−0.768973	+	2.36665i	−0.271873	+	0.836739i
$9$	−0.195290	−	2.99364i	−0.0650968	−	0.997879i
$10$	0.915362			0.289463
$11$	−2.56419	+	2.10355i	−0.773134	+	0.634243i
$11$	−2.56419	+	2.10355i	−0.773134	+	0.634243i
$12$	−0.555005	+	0.386690i	−0.160216	+	0.111628i
$13$	−1.43880	+	0.640596i	−0.399052	+	0.177669i	−0.596443	−	0.802656i	$-0.703420\pi$
$13$	−1.43880	+	0.640596i	−0.399052	+	0.177669i	0.197391	+	0.980325i	$0.436753\pi$
$14$	0.746906	+	0.829524i	0.199619	+	0.221699i
$15$	−0.817501	−	0.619030i	−0.211078	−	0.159833i
$16$	−4.22840	−	1.88260i	−1.05710	−	0.470651i
$17$	−3.71501	+	2.69911i	−0.901022	+	0.654631i	−0.938728	−	0.344658i	$-0.887995\pi$
$17$	−3.71501	+	2.69911i	−0.901022	+	0.654631i	0.0377065	+	0.999289i	$0.487995\pi$
$18$	4.63478	+	0.183526i	1.09243	+	0.0432575i
$19$	0.775200	−	2.38582i	0.177843	−	0.547345i	−0.821909	−	0.569619i	$-0.807091\pi$
$19$	0.775200	−	2.38582i	0.177843	−	0.547345i	0.999752	+	0.0222743i	$0.00709072\pi$
$20$	−0.0241681	+	0.229944i	−0.00540416	+	0.0514171i
$21$	−0.106075	−	1.24595i	−0.0231475	−	0.271888i
$22$	−2.82014	−	4.28284i	−0.601256	−	0.913105i
$23$	2.22600	−	3.85554i	0.464153	−	0.803937i	−0.535010	−	0.844846i	$-0.679692\pi$
$23$	2.22600	−	3.85554i	0.464153	−	0.803937i	0.999163	+	0.0409092i	$0.0130255\pi$
$24$	2.08078	+	3.77458i	0.424737	+	0.770484i
$25$	4.54790	−	0.966685i	0.909579	−	0.193337i
$26$	−0.752490	−	2.31593i	−0.147576	−	0.454191i
$27$	−4.01516	−	3.29825i	−0.772718	−	0.634749i
$28$	−0.228102	+	0.165726i	−0.0431072	+	0.0313192i
$29$	4.66961	−	5.18613i	0.867125	−	0.963039i	−0.132479	−	0.991186i	$-0.542294\pi$
$29$	4.66961	−	5.18613i	0.867125	−	0.963039i	0.999604	+	0.0281463i	$0.00896044\pi$
$30$	1.08398	−	1.15700i	0.197907	−	0.211238i
$31$	−8.33906	+	3.71279i	−1.49774	+	0.666837i	−0.981822	−	0.189802i	$-0.939216\pi$
$31$	−8.33906	+	3.71279i	−1.49774	+	0.666837i	−0.515917	+	0.856638i	$0.672549\pi$
$32$	1.08974	−	1.88749i	0.192641	−	0.333664i
$33$	−0.377707	+	5.73213i	−0.0657503	+	0.997836i
$34$	−3.54993	−	6.14866i	−0.608808	−	1.05449i
$35$	−0.345788	−	0.251230i	−0.0584489	−	0.0424656i
$36$	−0.168474	+	1.15944i	−0.0280790	+	0.193240i
$37$	0.893583	+	2.75017i	0.146904	+	0.452125i	0.997251	−	0.0740981i	$-0.0236078\pi$
$37$	0.893583	+	2.75017i	0.146904	+	0.452125i	−0.850347	+	0.526223i	$0.823608\pi$
$38$	3.54331	+	1.57758i	0.574801	+	0.255918i
$39$	−0.894144	+	2.57722i	−0.143178	+	0.412685i
$40$	1.44105	+	0.306304i	0.227850	+	0.0484309i
$41$	−0.772257	−	0.857678i	−0.120606	−	0.133947i	0.679818	−	0.733381i	$-0.262059\pi$
$41$	−0.772257	−	0.857678i	−0.120606	−	0.133947i	−0.800424	+	0.599434i	$0.795392\pi$
$42$	1.93300	+	0.0382560i	0.298268	+	0.00590303i
$43$	2.10724	+	3.64985i	0.321351	+	0.556596i	0.980767	−	0.195182i	$-0.0625297\pi$
$43$	2.10724	+	3.64985i	0.321351	+	0.556596i	−0.659416	+	0.751778i	$0.729196\pi$
$44$	1.15033	−	0.595357i	0.173419	−	0.0897534i
$45$	−1.75053	+	0.300244i	−0.260954	+	0.0447577i
$46$	5.56879	+	4.04596i	0.821073	+	0.596544i
$47$	0.222583	−	0.0473114i	0.0324670	−	0.00690108i	−0.191650	−	0.981463i	$-0.561384\pi$
$47$	0.222583	−	0.0473114i	0.0324670	−	0.00690108i	0.224117	+	0.974562i	$0.428050\pi$
$48$	−7.38688	+	3.11521i	−1.06620	+	0.449642i
$49$	0.677218	+	6.44330i	0.0967454	+	0.920471i
$50$	0.751430	+	7.14938i	0.106268	+	1.01107i
$51$	−0.987730	+	7.89201i	−0.138310	+	1.10510i
$52$	0.601643	−	0.127883i	0.0834328	−	0.0177342i
$53$	4.61430	+	3.35249i	0.633823	+	0.460500i	0.857723	−	0.514113i	$-0.171879\pi$
$53$	4.61430	+	3.35249i	0.633823	+	0.460500i	−0.223899	+	0.974612i	$0.571879\pi$
$54$	5.72053	−	5.64093i	0.778465	−	0.767634i
$55$	1.39723	+	1.37959i	0.188402	+	0.186024i
$56$	0.898268	+	1.55585i	0.120036	+	0.207909i
$57$	−2.09763	−	3.80515i	−0.277838	−	0.504005i
$58$	7.21985	+	8.01846i	0.948013	+	1.05288i
$59$	−6.97767	−	1.48315i	−0.908415	−	0.193090i	−0.270071	−	0.962841i	$-0.587047\pi$
$59$	−6.97767	−	1.48315i	−0.908415	−	0.193090i	−0.638344	+	0.769751i	$0.720380\pi$
$60$	0.262025	+	0.302851i	0.0338273	+	0.0390979i
$61$	4.16481	+	1.85429i	0.533250	+	0.237418i	0.655653	−	0.755062i	$-0.272393\pi$
$61$	4.16481	+	1.85429i	0.533250	+	0.237418i	−0.122403	+	0.992480i	$0.539060\pi$
$62$	−4.36131	−	13.4227i	−0.553887	−	1.70469i
$63$	−1.70047	−	1.34139i	−0.214239	−	0.168999i
$64$	−4.76295	−	3.46049i	−0.595369	−	0.432561i
$65$	0.466215	+	0.807507i	0.0578268	+	0.100159i
$66$	−8.75306	−	1.50719i	−1.07743	−	0.185522i
$67$	4.04571	−	7.00738i	0.494262	−	0.856087i	−0.505716	−	0.862700i	$-0.668772\pi$
$67$	4.04571	−	7.00738i	0.494262	−	0.856087i	0.999978	+	0.00661279i	$0.00210493\pi$
$68$	1.63831	−	0.729422i	0.198674	−	0.0884554i
$69$	−2.23728	−	7.37940i	−0.269337	−	0.888375i
$70$	0.442192	−	0.491104i	0.0528521	−	0.0586982i
$71$	9.95852	−	7.23528i	1.18186	−	0.858670i	0.189478	−	0.981885i	$-0.439320\pi$
$71$	9.95852	−	7.23528i	1.18186	−	0.858670i	0.992380	+	0.123215i	$0.0393203\pi$
$72$	7.23508	+	1.83984i	0.852662	+	0.216827i
$73$	4.78461	+	14.7255i	0.559996	+	1.72349i	0.682370	+	0.731007i	$0.260950\pi$
$73$	4.78461	+	14.7255i	0.559996	+	1.72349i	−0.122373	+	0.992484i	$0.539050\pi$
$74$	−4.37326	+	0.929564i	−0.508381	+	0.108060i
$75$	4.16380	−	6.89321i	0.480794	−	0.795959i
$76$	−0.489852	+	0.848448i	−0.0561899	+	0.0973237i
$77$	−0.110128	+	2.39191i	−0.0125502	+	0.272583i
$78$	−3.81839	−	1.79141i	−0.432348	−	0.202838i
$79$	1.52816	−	14.5395i	0.171931	−	1.63582i	−0.479807	−	0.877374i	$-0.659293\pi$
$79$	1.52816	−	14.5395i	0.171931	−	1.63582i	0.651738	−	0.758444i	$-0.274040\pi$
$80$	−0.846785	+	2.60614i	−0.0946734	+	0.291375i
$81$	−8.92372	+	1.16926i	−0.991525	+	0.129917i
$82$	1.44363	−	1.04886i	0.159422	−	0.115827i
$83$	−6.35188	−	2.82804i	−0.697210	−	0.310418i	0.0273537	−	0.999626i	$-0.491292\pi$
$83$	−6.35188	−	2.82804i	−0.697210	−	0.310418i	−0.724564	+	0.689208i	$0.757959\pi$
$84$	−0.0606466	+	0.484570i	−0.00661709	+	0.0528709i
$85$	1.81911	+	2.02032i	0.197310	+	0.219135i
$86$	−5.95281	+	2.65036i	−0.641908	+	0.285796i
$87$	−1.02536	−	12.0438i	−0.109930	−	1.29123i
$88$	−3.00657	−	7.68613i	−0.320502	−	0.819344i
$89$	12.4803			1.32291			0.661453	−	0.749986i	$-0.269940\pi$
$89$	12.4803			1.32291			0.661453	+	0.749986i	$0.269940\pi$
$90$	−0.178761	−	2.74026i	−0.0188431	−	0.288849i
$91$	−0.351367	+	1.08140i	−0.0368332	+	0.113361i
$92$	−1.16340	+	1.29209i	−0.121293	+	0.134709i
$93$	−5.18232	+	14.9371i	−0.537381	+	1.54891i
$94$	0.0367764	+	0.349904i	0.00379320	+	0.0360899i
$95$	−1.45272	−	0.308785i	−0.149046	−	0.0316806i
$96$	−1.09526	−	3.61260i	−0.111785	−	0.368709i
$97$	−1.48226	+	14.1028i	−0.150501	+	1.43192i	0.615021	+	0.788511i	$0.289148\pi$
$97$	−1.48226	+	14.1028i	−0.150501	+	1.43192i	−0.765522	+	0.643410i	$0.777519\pi$
$98$	−10.0171			−1.01188
$99$	6.79802	+	7.26547i	0.683226	+	0.730207i
$100$	−1.81581			−0.181581
$101$	1.50192	−	14.2898i	0.149447	−	1.42189i	−0.620712	−	0.784039i	$-0.713156\pi$
$101$	1.50192	−	14.2898i	0.149447	−	1.42189i	0.770159	−	0.637852i	$-0.220177\pi$
$102$	−11.9757	−	2.79427i	−1.18577	−	0.276674i
$103$	4.33207	+	0.920810i	0.426852	+	0.0907301i	0.416328	−	0.909214i	$-0.363317\pi$
$103$	4.33207	+	0.920810i	0.426852	+	0.0907301i	0.0105237	+	0.999945i	$0.496650\pi$
$104$	−0.409670	−	3.89775i	−0.0401714	−	0.382206i
$105$	−0.727036	+	0.139560i	−0.0709514	+	0.0136197i
$106$	−5.90075	+	6.55345i	−0.573132	+	0.636527i
$107$	−4.86529	+	14.9738i	−0.470345	+	1.44757i	0.381788	+	0.924250i	$0.375308\pi$
$107$	−4.86529	+	14.9738i	−0.470345	+	1.44757i	−0.852134	+	0.523324i	$0.824692\pi$
$108$	1.26600	+	1.58597i	0.121821	+	0.152610i
$109$	−13.6970			−1.31194			−0.655969	−	0.754788i	$-0.727740\pi$
$109$	−13.6970			−1.31194			−0.655969	+	0.754788i	$0.727740\pi$
$110$	−2.34717	+	1.92551i	−0.223794	+	0.183590i
$111$	4.53435	+	2.12731i	0.430381	+	0.201915i
$112$	−3.05269	+	1.35915i	−0.288452	+	0.128427i
$113$	5.37321	+	5.96755i	0.505469	+	0.561380i	0.940831	−	0.338875i	$-0.110046\pi$
$113$	5.37321	+	5.96755i	0.505469	+	0.561380i	−0.435363	+	0.900255i	$0.643380\pi$
$114$	6.19006	−	2.61048i	0.579753	−	0.244494i
$115$	−2.40786	−	1.07205i	−0.224534	−	0.0999688i
$116$	−2.20491	+	1.60196i	−0.204721	+	0.148738i
$117$	2.19870	+	4.18215i	0.203269	+	0.386640i
$118$	3.40829	−	10.4896i	0.313758	−	0.965648i
$119$	−0.346533	+	3.29704i	−0.0317666	+	0.302239i
$120$	2.09367	−	1.45873i	0.191125	−	0.133163i
$121$	2.15019	−	10.7878i	0.195472	−	0.980709i
$122$	−3.52438	+	6.10441i	−0.319083	+	0.552668i
$123$	−1.99860	−	0.0395544i	−0.180208	−	0.00356650i
$124$	3.48702	−	0.741190i	0.313144	−	0.0665608i
$125$	−1.76536	−	5.43321i	−0.157898	−	0.485961i
$126$	2.33743	−	2.39796i	0.208235	−	0.213628i
$127$	9.70522	−	7.05126i	0.861199	−	0.625698i	−0.0670118	−	0.997752i	$-0.521347\pi$
$127$	9.70522	−	7.05126i	0.861199	−	0.625698i	0.928211	+	0.372054i	$0.121347\pi$
$128$	9.00756	−	10.0039i	0.796163	−	0.884229i
$129$	7.10875	+	1.65868i	0.625891	+	0.146039i
$130$	−1.31702	+	0.586377i	−0.115511	+	0.0514287i
$131$	3.44555	−	5.96786i	0.301039	−	0.521414i	−0.675333	−	0.737513i	$-0.736000\pi$
$131$	3.44555	−	5.96786i	0.301039	−	0.521414i	0.976372	+	0.216099i	$0.0693333\pi$
$132$	0.609720	−	2.15903i	0.0530693	−	0.187919i
$133$	−0.905543	−	1.56845i	−0.0785205	−	0.136002i
$134$	10.1212	+	7.35345i	0.874335	+	0.635242i
$135$	−1.69350	+	2.56819i	−0.145753	+	0.221035i
$136$	−3.53112	−	10.8677i	−0.302791	−	0.931896i
$137$	8.44714	+	3.76091i	0.721688	+	0.321316i	0.734507	−	0.678602i	$-0.237414\pi$
$137$	8.44714	+	3.76091i	0.721688	+	0.321316i	−0.0128184	+	0.999918i	$0.504080\pi$
$138$	11.7086	−	2.24756i	0.996705	−	0.191325i
$139$	−21.1390	−	4.49324i	−1.79299	−	0.381112i	−0.813334	−	0.581797i	$-0.802350\pi$
$139$	−21.1390	−	4.49324i	−1.79299	−	0.381112i	−0.979656	+	0.200685i	$0.935683\pi$
$140$	0.111693	+	0.124048i	0.00943980	+	0.0104840i
$141$	0.203784	−	0.337367i	0.0171617	−	0.0284114i
$142$	9.51601	+	16.4822i	0.798566	+	1.38316i
$143$	2.34184	−	4.66920i	0.195835	−	0.390458i
$144$	−4.81007	+	13.0259i	−0.400839	+	1.08549i
$145$	−3.34251	−	2.42847i	−0.277580	−	0.201674i
$146$	−23.4162	+	4.97727i	−1.93794	+	0.411922i
$147$	8.94616	+	6.77423i	0.737867	+	0.558729i
$148$	−0.118046	−	1.12313i	−0.00970331	−	0.0923208i
$149$	0.119835	+	1.14015i	0.00981725	+	0.0934049i	0.998333	−	0.0577107i	$-0.0183801\pi$
$149$	0.119835	+	1.14015i	0.00981725	+	0.0934049i	−0.988516	+	0.151116i	$0.951713\pi$
$150$	9.92652	+	7.51658i	0.810497	+	0.613726i
$151$	−0.861396	+	0.183095i	−0.0700994	+	0.0149001i	−0.242828	−	0.970069i	$-0.578075\pi$
$151$	−0.861396	+	0.183095i	−0.0700994	+	0.0149001i	0.172728	+	0.984969i	$0.444742\pi$
$152$	5.05031	+	3.66926i	0.409634	+	0.297616i
$153$	8.80566	+	10.5943i	0.711896	+	0.856496i
$154$	−3.66015	−	0.555908i	−0.294944	−	0.0447963i
$155$	2.70211	+	4.68018i	0.217038	+	0.375921i
$156$	0.550830	−	0.911905i	0.0441017	−	0.0730108i
$157$	−6.54825	−	7.27257i	−0.522608	−	0.580415i	0.422834	−	0.906207i	$-0.361035\pi$
$157$	−6.54825	−	7.27257i	−0.522608	−	0.580415i	−0.945441	+	0.325793i	$0.894369\pi$
$158$	22.1099	+	4.69960i	1.75897	+	0.373880i
$159$	9.70179	−	1.86234i	0.769402	−	0.147693i
$160$	−1.17877	−	0.524822i	−0.0931899	−	0.0414908i
$161$	−0.993219	−	3.05681i	−0.0782766	−	0.240911i
$162$	−0.355717	−	13.9107i	−0.0279477	−	1.09293i
$163$	−3.74555	−	2.72130i	−0.293374	−	0.213149i	0.431355	−	0.902182i	$-0.358035\pi$
$163$	−3.74555	−	2.72130i	−0.293374	−	0.213149i	−0.724730	+	0.689033i	$0.758035\pi$
$164$	0.225364	+	0.390342i	0.0175980	+	0.0304806i
$165$	3.39839	−	0.132339i	0.264564	−	0.0103026i
$166$	5.37515	−	9.31002i	0.417192	−	0.722598i
$167$	−15.5187	+	6.90939i	−1.20088	+	0.534665i	−0.906980	−	0.421173i	$-0.861619\pi$
$167$	−15.5187	+	6.90939i	−1.20088	+	0.534665i	−0.293896	+	0.955837i	$0.594952\pi$
$168$	3.03030	+	0.707057i	0.233792	+	0.0545506i
$169$	−7.03891	+	7.81750i	−0.541455	+	0.601346i
$170$	−3.40058	+	2.47066i	−0.260812	+	0.189491i
$171$	−7.29367	−	1.85474i	−0.557761	−	0.141836i
$172$	−0.508616	−	1.56536i	−0.0387816	−	0.119357i
$173$	0.578140	−	0.122887i	0.0439551	−	0.00934296i	−0.185882	−	0.982572i	$-0.559514\pi$
$173$	0.578140	−	0.122887i	0.0439551	−	0.00934296i	0.229837	+	0.973229i	$0.426181\pi$
$174$	18.6850	+	0.369796i	1.41651	+	0.0280341i
$175$	1.67835	−	2.90699i	0.126872	−	0.219748i
$176$	14.8026	−	4.06727i	1.11579	−	0.306582i
$177$	−10.1377	+	7.06327i	−0.761996	+	0.530908i
$178$	−2.01700	+	19.1905i	−0.151181	+	1.43839i
$179$	−2.97921	+	9.16907i	−0.222677	+	0.685328i	0.775842	+	0.630927i	$0.217325\pi$
$179$	−2.97921	+	9.16907i	−0.222677	+	0.685328i	−0.998519	+	0.0544017i	$0.982675\pi$
$180$	0.693090	+	0.0274447i	0.0516599	+	0.00204561i
$181$	3.85243	−	2.79896i	0.286349	−	0.208045i	−0.435333	−	0.900270i	$-0.643369\pi$
$181$	3.85243	−	2.79896i	0.286349	−	0.208045i	0.721682	+	0.692225i	$0.243369\pi$
$182$	−1.60604	−	0.715055i	−0.119048	−	0.0530034i
$183$	7.27581	−	3.06837i	0.537843	−	0.226820i
$184$	7.41301	+	8.23298i	0.546494	+	0.606943i
$185$	1.56397	−	0.696324i	0.114985	−	0.0511947i
$186$	−22.1308	−	10.3827i	−1.62271	−	0.761300i
$187$	3.84830	−	14.7357i	0.281415	−	1.07758i
$188$	−0.0888691			−0.00648144
$189$	−3.70920	+	0.560872i	−0.269805	+	0.0407974i
$190$	0.709589	−	2.18389i	0.0514790	−	0.158436i
$191$	−3.47816	+	3.86289i	−0.251671	+	0.279509i	−0.855721	−	0.517438i	$-0.826886\pi$
$191$	−3.47816	+	3.86289i	−0.251671	+	0.279509i	0.604050	+	0.796946i	$0.293553\pi$
$192$	−10.0143	+	1.92233i	−0.722722	+	0.138732i
$193$	−0.341604	−	3.25014i	−0.0245892	−	0.233950i	−0.999913	−	0.0131723i	$-0.995807\pi$
$193$	−0.341604	−	3.25014i	−0.0245892	−	0.233950i	0.975324	−	0.220778i	$-0.0708597\pi$
$194$	−21.4458	−	4.55845i	−1.53972	−	0.327278i
$195$	1.57277	+	0.366973i	0.112628	+	0.0262795i
$196$	0.264479	−	2.51635i	0.0188914	−	0.179739i
$197$	−22.4626			−1.60039			−0.800197	−	0.599737i	$-0.795272\pi$
$197$	−22.4626			−1.60039			−0.800197	+	0.599737i	$0.795272\pi$
$198$	−12.2705	+	9.27887i	−0.872028	+	0.659421i
$199$	−20.8291			−1.47654			−0.738269	−	0.674507i	$-0.764356\pi$
$199$	−20.8291			−1.47654			−0.738269	+	0.674507i	$0.764356\pi$
$200$	−1.20940	+	11.5067i	−0.0855173	+	0.813643i
$201$	−4.06621	−	13.4119i	−0.286808	−	0.946003i
$202$	21.7303	+	4.61891i	1.52894	+	0.324985i
$203$	−0.526637	−	5.01062i	−0.0369627	−	0.351677i
$204$	1.01813	−	2.93458i	0.0712832	−	0.205462i
$205$	−0.457201	+	0.507773i	−0.0319323	+	0.0354644i
$206$	−2.11603	+	6.51246i	−0.147431	+	0.453745i
$207$	−11.9768	−	5.91088i	−0.832446	−	0.410835i
$208$	7.28981			0.505457
$209$	3.03092	+	7.74838i	0.209653	+	0.535966i
$210$	−0.0970972	−	1.14049i	−0.00670034	−	0.0787015i
$211$	3.09877	−	1.37966i	0.213328	−	0.0949797i	−0.297291	−	0.954787i	$-0.596083\pi$
$211$	3.09877	−	1.37966i	0.213328	−	0.0949797i	0.510619	+	0.859807i	$0.329416\pi$
$212$	−1.49047	−	1.65533i	−0.102366	−	0.113689i
$213$	2.64773	−	21.1555i	0.181419	−	1.44955i
$214$	−22.2384	−	9.90119i	−1.52019	−	0.676831i
$215$	2.01858	−	1.46659i	0.137666	−	0.100020i
$216$	10.8934	−	6.96623i	0.741200	−	0.473992i
$217$	−2.03646	+	6.26759i	−0.138244	+	0.425472i
$218$	2.21365	−	21.0615i	0.149927	−	1.42646i
$219$	24.2787	+	11.3905i	1.64061	+	0.769696i
$220$	−0.421727	−	0.640461i	−0.0284328	−	0.0431799i
$221$	3.61612	−	6.26330i	0.243247	−	0.421315i
$222$	−4.00391	+	6.62851i	−0.268725	+	0.444876i
$223$	10.7854	−	2.29252i	0.722246	−	0.153518i	0.167900	−	0.985804i	$-0.446302\pi$
$223$	10.7854	−	2.29252i	0.722246	−	0.153518i	0.554347	+	0.832286i	$0.312968\pi$
$224$	−0.486232	−	1.49647i	−0.0324877	−	0.0999870i
$225$	−3.78206	−	13.4260i	−0.252138	−	0.895064i
$226$	−10.0445	+	7.29775i	−0.668150	+	0.485439i
$227$	−3.99263	+	4.43426i	−0.265000	+	0.294312i	−0.860929	−	0.508725i	$-0.830117\pi$
$227$	−3.99263	+	4.43426i	−0.265000	+	0.294312i	0.595929	+	0.803037i	$0.296784\pi$
$228$	0.492334	+	1.62390i	0.0326056	+	0.107546i
$229$	22.6109	−	10.0670i	1.49417	−	0.665246i	0.512998	−	0.858390i	$-0.328535\pi$
$229$	22.6109	−	10.0670i	1.49417	−	0.665246i	0.981171	+	0.193144i	$0.0618683\pi$
$230$	2.03760	−	3.52922i	0.134355	−	0.232710i
$231$	2.89291	+	2.97172i	0.190339	+	0.195525i
$232$	8.68297	+	15.0393i	0.570065	+	0.987381i
$233$	−3.38850	−	2.46189i	−0.221988	−	0.161284i	0.471233	−	0.882009i	$-0.343809\pi$
$233$	−3.38850	−	2.46189i	−0.221988	−	0.161284i	−0.693221	+	0.720725i	$0.743809\pi$
$234$	−6.78609	+	2.70496i	−0.443621	+	0.176829i
$235$	−0.0416308	−	0.128126i	−0.00271569	−	0.00835805i
$236$	2.54507	+	1.13314i	0.165670	+	0.0737610i
$237$	−16.5679	−	19.1494i	−1.07620	−	1.24388i
$238$	−5.01374	−	1.06570i	−0.324992	−	0.0690793i
$239$	−4.93340	−	5.47909i	−0.319115	−	0.354413i	0.562150	−	0.827035i	$-0.309974\pi$
$239$	−4.93340	−	5.47909i	−0.319115	−	0.354413i	−0.881265	+	0.472622i	$0.843308\pi$
$240$	2.29133	+	4.15653i	0.147905	+	0.268303i
$241$	4.41462	+	7.64634i	0.284371	+	0.492544i	0.972456	−	0.233085i	$-0.0748821\pi$
$241$	4.41462	+	7.64634i	0.284371	+	0.492544i	−0.688086	+	0.725629i	$0.741549\pi$
$242$	16.2405	+	5.04975i	1.04398	+	0.324610i
$243$	−9.08965	+	12.6641i	−0.583101	+	0.812399i
$244$	−1.44041	−	1.04652i	−0.0922129	−	0.0669966i
$245$	3.75183	−	0.797476i	0.239696	−	0.0509489i
$246$	0.383826	−	3.06679i	0.0244719	−	0.195531i
$247$	0.412987	+	3.92931i	0.0262778	+	0.250016i
$248$	−2.37438	−	22.5907i	−0.150773	−	1.43451i
$249$	−11.0966	+	4.67966i	−0.703216	+	0.296561i
$250$	8.63977	−	1.83644i	0.546427	−	0.116147i
$251$	−16.6439	−	12.0925i	−1.05056	−	0.763274i	−0.0782385	−	0.996935i	$-0.524930\pi$
$251$	−16.6439	−	12.0925i	−1.05056	−	0.763274i	−0.972318	+	0.233661i	$0.924930\pi$
$252$	0.540668	+	0.650489i	0.0340589	+	0.0409770i
$253$	2.40242	+	14.5689i	0.151039	+	0.915936i
$254$	9.27397	+	16.0630i	0.581901	+	1.00788i
$255$	4.70785	+	0.0931733i	0.294817	+	0.00583474i
$256$	6.04813	+	6.71713i	0.378008	+	0.419820i
$257$	3.30847	+	0.703238i	0.206377	+	0.0438668i	0.309940	−	0.950756i	$-0.399691\pi$
$257$	3.30847	+	0.703238i	0.206377	+	0.0438668i	−0.103563	+	0.994623i	$0.533024\pi$
$258$	−3.69938	+	10.6628i	−0.230313	+	0.663838i
$259$	1.90717	+	0.849129i	0.118506	+	0.0527623i
$260$	−0.112528	−	0.346326i	−0.00697871	−	0.0214783i
$261$	−16.4373	−	12.9663i	−1.01744	−	0.802595i
$262$	8.61973	+	6.26260i	0.532528	+	0.386905i
$263$	7.14112	+	12.3688i	0.440341	+	0.762692i	0.997715	−	0.0675692i	$-0.0215244\pi$
$263$	7.14112	+	12.3688i	0.440341	+	0.762692i	−0.557374	+	0.830262i	$0.688191\pi$
$264$	−13.2755	−	5.30175i	−0.817052	−	0.326300i
$265$	1.68836	−	2.92432i	0.103715	−	0.179639i
$266$	2.55810	−	1.13894i	0.156847	−	0.0698328i
$267$	14.7793	−	15.7748i	0.904477	−	0.965403i
$268$	−2.11446	+	2.34834i	−0.129161	+	0.143448i
$269$	−5.43693	+	3.95016i	−0.331495	+	0.240845i	−0.741065	−	0.671433i	$-0.765679\pi$
$269$	−5.43693	+	3.95016i	−0.331495	+	0.240845i	0.409570	+	0.912279i	$0.365679\pi$
$270$	−3.67533	−	3.01910i	−0.223673	−	0.183736i
$271$	−1.23000	−	3.78554i	−0.0747170	−	0.229955i	0.906722	−	0.421728i	$-0.138576\pi$
$271$	−1.23000	−	3.78554i	−0.0747170	−	0.229955i	−0.981439	+	0.191773i	$0.938576\pi$
$272$	20.7899	−	4.41903i	1.26057	−	0.267943i
$273$	0.950770	+	1.72472i	0.0575432	+	0.104385i
$274$	−7.14821	+	12.3811i	−0.431839	+	0.747968i
$275$	−9.62822	+	12.0455i	−0.580604	+	0.726370i
$276$	0.255461	+	3.00062i	0.0153769	+	0.180616i
$277$	1.37267	−	13.0601i	0.0824756	−	0.784703i	−0.872619	−	0.488402i	$-0.837580\pi$
$277$	1.37267	−	13.0601i	0.0824756	−	0.784703i	0.955094	−	0.296301i	$-0.0957533\pi$
$278$	10.3255	−	31.7786i	0.619282	−	1.90595i
$279$	12.7433	+	24.2391i	0.762920	+	1.45115i
$280$	0.860476	−	0.625172i	0.0514233	−	0.0373612i
$281$	−2.71128	−	1.20714i	−0.161742	−	0.0720120i	0.324269	−	0.945965i	$-0.394882\pi$
$281$	−2.71128	−	1.20714i	−0.161742	−	0.0720120i	−0.486011	+	0.873953i	$0.661548\pi$
$282$	0.485823	+	0.367876i	0.0289304	+	0.0219067i
$283$	5.41512	+	6.01410i	0.321896	+	0.357501i	0.882275	−	0.470735i	$-0.156011\pi$
$283$	5.41512	+	6.01410i	0.321896	+	0.357501i	−0.560379	+	0.828236i	$0.689345\pi$
$284$	−4.39168	+	1.95530i	−0.260598	+	0.116026i
$285$	−2.11062	+	1.47054i	−0.125022	+	0.0871072i
$286$	6.80119	+	4.35559i	0.402163	+	0.257551i
$287$	−0.833217			−0.0491833
$288$	−5.86327	−	2.89368i	−0.345497	−	0.170512i
$289$	1.26279	−	3.88648i	0.0742820	−	0.228616i
$290$	4.27438	−	4.74718i	0.251000	−	0.278764i
$291$	16.0703	+	18.5742i	0.942059	+	1.08884i
$292$	−0.632066	−	6.01370i	−0.0369888	−	0.351925i
$293$	15.3722	+	3.26745i	0.898051	+	0.190887i	0.633736	−	0.773550i	$-0.281521\pi$
$293$	15.3722	+	3.26745i	0.898051	+	0.190887i	0.264315	+	0.964436i	$0.414854\pi$
$294$	−11.8623	+	12.6614i	−0.691826	+	0.738428i
$295$	−0.441454	+	4.20016i	−0.0257025	+	0.244543i
$296$	−7.19584			−0.418249
$297$	17.2337	+	0.0112864i	1.00000	+	0.000654902i
$298$	−1.77254			−0.102681
$299$	−0.732926	+	6.97333i	−0.0423862	+	0.403278i
$300$	−2.15030	+	2.29514i	−0.124147	+	0.132510i
$301$	2.97616	+	0.632602i	0.171543	+	0.0364626i
$302$	−0.142325	−	1.35413i	−0.00818988	−	0.0779215i
$303$	−16.2835	−	18.8206i	−0.935460	−	1.08121i
$304$	−7.76941	+	8.62880i	−0.445606	+	0.494896i
$305$	0.834052	−	2.56695i	0.0477577	−	0.146983i
$306$	−17.7136	+	11.8280i	−1.01262	+	0.676161i
$307$	−3.51315			−0.200506			−0.100253	−	0.994962i	$-0.531965\pi$
$307$	−3.51315			−0.200506			−0.100253	+	0.994962i	$0.531965\pi$
$308$	0.236286	−	0.904775i	0.0134636	−	0.0515543i
$309$	6.29397	−	4.38522i	0.358051	−	0.249466i
$310$	−7.63326	+	3.39855i	−0.433540	+	0.193025i
$311$	17.6212	+	19.5703i	0.999205	+	1.10973i	0.993960	+	0.109743i	$0.0350027\pi$
$311$	17.6212	+	19.5703i	0.999205	+	1.10973i	0.00524459	+	0.999986i	$0.498331\pi$
$312$	−5.41181	−	4.09794i	−0.306383	−	0.232000i
$313$	−2.24836	−	1.00104i	−0.127085	−	0.0565819i	0.342209	−	0.939624i	$-0.388825\pi$
$313$	−2.24836	−	1.00104i	−0.127085	−	0.0565819i	−0.469294	+	0.883042i	$0.655492\pi$
$314$	12.2411	−	8.89367i	0.690805	−	0.501899i
$315$	−0.684562	+	1.08423i	−0.0385707	+	0.0610893i
$316$	−1.76433	+	5.43005i	−0.0992513	+	0.305464i
$317$	2.77075	−	26.3619i	0.155621	−	1.48063i	−0.586271	−	0.810115i	$-0.699405\pi$
$317$	2.77075	−	26.3619i	0.155621	−	1.48063i	0.741892	−	0.670519i	$-0.233929\pi$
$318$	1.29569	+	15.2191i	0.0726589	+	0.853444i
$319$	−1.06453	+	23.1210i	−0.0596023	+	1.29453i
$320$	−1.74274	+	3.01852i	−0.0974224	+	0.168741i
$321$	13.1651	+	23.8818i	0.734803	+	1.33295i
$322$	4.86088	−	1.03321i	0.270886	−	0.0575786i
$323$	3.55972	+	10.9557i	0.198068	+	0.609591i
$324$	3.50384	+	0.277923i	0.194658	+	0.0154402i
$325$	−5.92427	+	4.30423i	−0.328619	+	0.238756i
$326$	4.78980	−	5.31961i	0.265282	−	0.294626i
$327$	−16.2202	+	17.3128i	−0.896977	+	0.957398i
$328$	2.62367	−	1.16813i	0.144868	−	0.0644994i
$329$	0.0821419	−	0.142274i	0.00452863	−	0.00784382i
$330$	−0.345738	+	5.24698i	−0.0190323	+	0.288837i
$331$	−4.05198	−	7.01824i	−0.222717	−	0.385757i	0.732915	−	0.680320i	$-0.238159\pi$
$331$	−4.05198	−	7.01824i	−0.222717	−	0.385757i	−0.955632	+	0.294563i	$0.904826\pi$
$332$	2.19681	+	1.59608i	0.120566	+	0.0875962i
$333$	8.05849	−	3.21214i	0.441603	−	0.176024i
$334$	−8.11627	−	24.9793i	−0.444103	−	1.36681i
$335$	−4.37623	−	1.94842i	−0.239099	−	0.106454i
$336$	−1.89710	+	5.46806i	−0.103495	+	0.298307i
$337$	−24.1804	−	5.13971i	−1.31719	−	0.279978i	−0.504874	−	0.863193i	$-0.668461\pi$
$337$	−24.1804	−	5.13971i	−1.31719	−	0.279978i	−0.812318	+	0.583215i	$0.801794\pi$
$338$	−10.8831	−	12.0869i	−0.591964	−	0.657442i
$339$	13.9059	+	0.275212i	0.755263	+	0.0149475i
$340$	−0.530861	−	0.919478i	−0.0287900	−	0.0498657i
$341$	13.5730	−	27.0619i	0.735017	−	1.46549i
$342$	4.03074	−	10.9155i	0.217957	−	0.590241i
$343$	7.87256	+	5.71975i	0.425078	+	0.308837i
$344$	−10.2583	+	2.18048i	−0.553092	+	0.117563i
$345$	−4.20645	+	1.77395i	−0.226468	+	0.0955064i
$346$	0.0955236	+	0.908847i	0.00513538	+	0.0488599i
$347$	0.216337	+	2.05831i	0.0116136	+	0.110496i	0.998793	−	0.0491192i	$-0.0156414\pi$
$347$	0.216337	+	2.05831i	0.0116136	+	0.110496i	−0.987179	+	0.159615i	$0.948975\pi$
$348$	−0.586231	+	4.68402i	−0.0314253	+	0.251090i
$349$	5.10032	−	1.08411i	0.273014	−	0.0580309i	−0.0693701	−	0.997591i	$-0.522099\pi$
$349$	5.10032	−	1.08411i	0.273014	−	0.0580309i	0.342384	+	0.939560i	$0.388766\pi$
$350$	4.19874	+	3.05056i	0.224432	+	0.163059i
$351$	7.88987	+	2.17344i	0.421130	+	0.116009i
$352$	1.17611	+	7.13221i	0.0626868	+	0.380148i
$353$	−10.8363	−	18.7689i	−0.576756	−	0.998970i	−0.995848	−	0.0910266i	$-0.970985\pi$
$353$	−10.8363	−	18.7689i	−0.576756	−	0.998970i	0.419093	−	0.907943i	$-0.362348\pi$
$354$	−9.22255	−	16.7299i	−0.490173	−	0.889186i
$355$	−4.87633	−	5.41571i	−0.258809	−	0.287436i
$356$	−4.76751	−	1.01337i	−0.252678	−	0.0537083i
$357$	3.75702	+	4.34240i	0.198843	+	0.229824i
$358$	−13.6175	−	6.06290i	−0.719706	−	0.320434i
$359$	2.70478	+	8.32446i	0.142753	+	0.439348i	0.996715	−	0.0809868i	$-0.0258072\pi$
$359$	2.70478	+	8.32446i	0.142753	+	0.439348i	−0.853962	+	0.520335i	$0.825807\pi$
$360$	0.635540	−	4.37379i	0.0334959	−	0.230519i
$361$	10.2801	+	7.46894i	0.541059	+	0.393102i
$362$	3.68125	+	6.37611i	0.193482	+	0.335121i
$363$	−11.0893	−	15.4928i	−0.582037	−	0.813162i
$364$	0.222030	−	0.384567i	0.0116375	−	0.0201568i
$365$	8.37413	−	3.72840i	0.438322	−	0.195153i
$366$	3.54224	+	11.6837i	0.185156	+	0.610715i
$367$	−4.52749	+	5.02829i	−0.236333	+	0.262474i	−0.849631	−	0.527377i	$-0.823176\pi$
$367$	−4.52749	+	5.02829i	−0.236333	+	0.262474i	0.613298	+	0.789851i	$0.289842\pi$
$368$	−16.6709	+	12.1121i	−0.869029	+	0.631387i
$369$	−2.41676	+	2.47935i	−0.125812	+	0.129070i
$370$	0.817952	+	2.51740i	0.0425233	+	0.130873i
$371$	4.02773	−	0.856121i	0.209109	−	0.0444476i
$372$	3.19252	−	5.28525i	0.165525	−	0.274028i
$373$	10.9467	−	18.9602i	0.566797	−	0.981722i	−0.430083	−	0.902790i	$-0.641516\pi$
$373$	10.9467	−	18.9602i	0.566797	−	0.981722i	0.996880	−	0.0789323i	$-0.0251511\pi$
$374$	22.0367	+	8.29892i	1.13949	+	0.429127i
$375$	−8.95802	−	4.20269i	−0.462590	−	0.217026i
$376$	−0.0591903	+	0.563158i	−0.00305251	+	0.0290426i
$377$	−3.39643	+	10.4531i	−0.174925	+	0.538364i
$378$	−0.262971	−	5.79416i	−0.0135258	−	0.298019i
$379$	27.3639	−	19.8810i	1.40559	−	1.02122i	0.411642	−	0.911346i	$-0.364955\pi$
$379$	27.3639	−	19.8810i	1.40559	−	1.02122i	0.993946	−	0.109873i	$-0.0350445\pi$
$380$	0.529871	+	0.235914i	0.0271818	+	0.0121021i
$381$	2.58038	−	20.6174i	0.132197	−	1.05626i
$382$	−5.37771	−	5.97255i	−0.275147	−	0.305582i
$383$	−16.7854	+	7.47333i	−0.857693	+	0.381869i	−0.787982	−	0.615698i	$-0.788874\pi$
$383$	−16.7854	+	7.47333i	−0.857693	+	0.381869i	−0.0697105	+	0.997567i	$0.522208\pi$
$384$	−1.97789	−	23.2321i	−0.100934	−	1.18556i
$385$	1.41514	−	0.0831793i	0.0721223	−	0.00423921i
$386$	5.05284			0.257183
$387$	10.5148	−	7.02109i	0.534497	−	0.356902i
$388$	1.71134	−	5.26696i	0.0868801	−	0.267390i
$389$	−20.6136	+	22.8937i	−1.04515	+	1.16076i	−0.0584370	+	0.998291i	$0.518612\pi$
$389$	−20.6136	+	22.8937i	−1.04515	+	1.16076i	−0.986714	+	0.162467i	$0.948055\pi$
$390$	−0.818466	+	2.35909i	−0.0414446	+	0.119457i
$391$	2.13694	+	20.3316i	0.108070	+	1.02821i
$392$	−15.7698	−	3.35198i	−0.796496	−	0.169300i
$393$	−3.46300	−	11.4223i	−0.174685	−	0.576179i
$394$	3.63030	−	34.5400i	0.182892	−	1.74010i
$395$	−8.65524			−0.435493
$396$	−2.00693	−	3.32742i	−0.100852	−	0.167209i
$397$	−8.29578			−0.416353			−0.208177	−	0.978091i	$-0.566753\pi$
$397$	−8.29578			−0.416353			−0.208177	+	0.978091i	$0.566753\pi$
$398$	3.36630	−	32.0282i	0.168738	−	1.60543i
$399$	−3.05484	−	0.712783i	−0.152933	−	0.0356838i
$400$	−21.0502	−	4.47436i	−1.05251	−	0.223718i
$401$	0.411175	+	3.91207i	0.0205331	+	0.195360i	0.999980	−	0.00634326i	$-0.00201913\pi$
$401$	0.411175	+	3.91207i	0.0205331	+	0.195360i	−0.979447	+	0.201703i	$0.935352\pi$
$402$	21.2802	−	4.08491i	1.06136	−	0.203737i
$403$	9.61986	−	10.6839i	0.479199	−	0.532205i
$404$	−1.73404	+	5.33682i	−0.0862716	+	0.265517i
$405$	1.24068	+	5.18183i	0.0616500	+	0.257487i
$406$	7.78977			0.386600
$407$	−8.07642	−	5.17227i	−0.400333	−	0.256380i
$408$	−17.9181	−	8.40636i	−0.887080	−	0.416177i
$409$	−2.28775	+	1.01857i	−0.113122	+	0.0503651i	−0.462517	−	0.886610i	$-0.653054\pi$
$409$	−2.28775	+	1.01857i	−0.113122	+	0.0503651i	0.349395	+	0.936975i	$0.386387\pi$
$410$	−0.706895	−	0.785086i	−0.0349110	−	0.0387726i
$411$	14.7569	−	6.22331i	0.727905	−	0.306973i
$412$	−1.58010	−	0.703506i	−0.0778460	−	0.0346593i
$413$	−4.16650	+	3.02714i	−0.205020	+	0.148956i
$414$	11.0246	−	17.4611i	0.541830	−	0.858164i
$415$	−1.27204	+	3.91493i	−0.0624419	+	0.192176i
$416$	−0.358805	+	3.41381i	−0.0175919	+	0.167376i
$417$	−30.7124	+	21.3984i	−1.50399	+	1.04788i
$418$	−12.4043	+	3.40829i	−0.606712	+	0.166705i
$419$	−5.36970	+	9.30060i	−0.262327	+	0.454364i	−0.966860	−	0.255307i	$-0.917823\pi$
$419$	−5.36970	+	9.30060i	−0.262327	+	0.454364i	0.704533	+	0.709672i	$0.251157\pi$
$420$	0.289062	+	0.00572085i	0.0141048	+	0.000279149i
$421$	−21.7026	+	4.61303i	−1.05772	+	0.224825i	−0.703762	−	0.710436i	$-0.748498\pi$
$421$	−21.7026	+	4.61303i	−1.05772	+	0.224825i	−0.353958	+	0.935261i	$0.615164\pi$
$422$	1.62065	+	4.98785i	0.0788920	+	0.242805i
$423$	−0.185102	−	0.657093i	−0.00899995	−	0.0319489i
$424$	−11.4825	+	8.34249i	−0.557637	+	0.405147i
$425$	−14.2863	+	15.8665i	−0.692986	+	0.769639i
$426$	32.1021	+	7.49036i	1.55535	+	0.362909i
$427$	3.00679	−	1.33871i	0.145509	−	0.0647847i
$428$	3.07440	−	5.32501i	0.148606	−	0.257394i
$429$	−3.12853	−	8.48936i	−0.151047	−	0.409870i
$430$	1.92889	+	3.34093i	0.0930192	+	0.161114i
$431$	14.9330	+	10.8495i	0.719297	+	0.522600i	0.886160	−	0.463380i	$-0.153364\pi$
$431$	14.9330	+	10.8495i	0.719297	+	0.522600i	−0.166862	+	0.985980i	$0.553364\pi$
$432$	10.7684	+	21.5053i	0.518094	+	1.03467i
$433$	4.67130	+	14.3768i	0.224488	+	0.690904i	0.998343	+	0.0575408i	$0.0183259\pi$
$433$	4.67130	+	14.3768i	0.224488	+	0.690904i	−0.773855	+	0.633363i	$0.781674\pi$
$434$	−9.30835	−	4.14434i	−0.446815	−	0.198935i
$435$	−7.02778	+	1.34904i	−0.336956	+	0.0646814i
$436$	5.23232	+	1.11216i	0.250583	+	0.0532630i
$437$	−7.47304	−	8.29965i	−0.357484	−	0.397026i
$438$	−21.4386	+	35.4917i	−1.02437	+	1.69586i
$439$	−11.9777	−	20.7459i	−0.571663	−	0.990150i	−0.996395	−	0.0848306i	$-0.972965\pi$
$439$	−11.9777	−	20.7459i	−0.571663	−	0.990150i	0.424732	−	0.905319i	$-0.360368\pi$
$440$	−4.33945	+	2.24589i	−0.206875	+	0.107068i
$441$	19.1566	−	3.28566i	0.912221	−	0.156460i
$442$	9.04645	+	6.57263i	0.430296	+	0.312628i
$443$	−24.9405	+	5.30127i	−1.18496	+	0.251871i	−0.757911	−	0.652358i	$-0.773780\pi$
$443$	−24.9405	+	5.30127i	−1.18496	+	0.251871i	−0.427049	+	0.904229i	$0.640447\pi$
$444$	−1.55941	−	1.18082i	−0.0740061	−	0.0560391i
$445$	−0.772332	−	7.34825i	−0.0366120	−	0.348340i
$446$	1.78203	+	16.9549i	0.0843817	+	0.802838i
$447$	1.58304	+	1.19871i	0.0748752	+	0.0566971i
$448$	−4.15748	+	0.883700i	−0.196423	+	0.0417509i
$449$	18.1886	+	13.2148i	0.858375	+	0.623646i	0.927442	−	0.373966i	$-0.122002\pi$
$449$	18.1886	+	13.2148i	0.858375	+	0.623646i	−0.0690672	+	0.997612i	$0.522002\pi$
$450$	21.2559	−	3.64571i	1.00201	−	0.171861i
$451$	3.78438	+	0.574776i	0.178200	+	0.0270651i
$452$	−1.56804	−	2.71592i	−0.0737542	−	0.127746i
$453$	−0.788646	+	1.30561i	−0.0370538	+	0.0613430i
$454$	−6.17315	−	6.85598i	−0.289720	−	0.321767i
$455$	0.658458	+	0.139959i	0.0308690	+	0.00656140i
$456$	10.6185	−	2.03831i	0.497257	−	0.0954524i
$457$	19.8144	+	8.82195i	0.926879	+	0.412673i	0.813953	−	0.580930i	$-0.197311\pi$
$457$	19.8144	+	8.82195i	0.926879	+	0.412673i	0.112926	+	0.993603i	$0.463978\pi$
$458$	11.8254	+	36.3950i	0.552566	+	1.70062i
$459$	23.8187	+	1.41567i	1.11176	+	0.0660778i
$460$	0.832763	+	0.605037i	0.0388278	+	0.0282100i
$461$	6.05182	+	10.4821i	0.281861	+	0.488198i	0.971843	−	0.235629i	$-0.0757149\pi$
$461$	6.05182	+	10.4821i	0.281861	+	0.488198i	−0.689982	+	0.723827i	$0.742382\pi$
$462$	−5.03705	+	3.96805i	−0.234345	+	0.184610i
$463$	−10.0154	+	17.3472i	−0.465455	+	0.806192i	−0.999222	−	0.0394398i	$-0.987443\pi$
$463$	−10.0154	+	17.3472i	−0.465455	+	0.806192i	0.533767	+	0.845632i	$0.320776\pi$
$464$	−29.5084	+	13.1380i	−1.36989	+	0.609915i
$465$	9.11552	+	2.12692i	0.422722	+	0.0986334i
$466$	4.33320	−	4.81250i	0.200731	−	0.222935i
$467$	−4.90871	+	3.56639i	−0.227148	+	0.165033i	−0.695538	−	0.718489i	$-0.744834\pi$
$467$	−4.90871	+	3.56639i	−0.227148	+	0.165033i	0.468390	+	0.883522i	$0.344834\pi$
$468$	−0.500330	−	1.77612i	−0.0231278	−	0.0821014i
$469$	−1.80516	−	5.55570i	−0.0833543	−	0.256538i
$470$	0.203744	−	0.0433071i	0.00939801	−	0.00199761i
$471$	−16.9469	−	0.335397i	−0.780872	−	0.0154543i
$472$	8.87574	−	15.3732i	0.408539	−	0.707610i
$473$	−13.0810	−	4.92624i	−0.601465	−	0.226509i
$474$	32.1230	−	22.3811i	1.47546	−	1.02800i
$475$	1.21919	−	11.5998i	0.0559404	−	0.532237i
$476$	0.400088	−	1.23134i	0.0183380	−	0.0564385i
$477$	9.13500	−	14.4683i	0.418263	−	0.662456i
$478$	9.22233	−	6.70041i	0.421819	−	0.306470i
$479$	33.1369	+	14.7535i	1.51406	+	0.674104i	0.984695	−	0.174289i	$-0.0557628\pi$
$479$	33.1369	+	14.7535i	1.51406	+	0.674104i	0.529367	+	0.848393i	$0.322429\pi$
$480$	−2.05928	+	0.868441i	−0.0939927	+	0.0396387i
$481$	−3.04743	−	3.38452i	−0.138951	−	0.154321i
$482$	−12.4710	+	5.55244i	−0.568038	+	0.252907i
$483$	−5.03993	−	2.36450i	−0.229325	−	0.107589i
$484$	−1.69732	+	3.94639i	−0.0771510	+	0.179381i
$485$	8.39529			0.381211
$486$	−18.0041	−	16.0236i	−0.816681	−	0.726843i
$487$	−2.68379	+	8.25986i	−0.121614	+	0.374290i	−0.993269	−	0.115830i	$-0.963047\pi$
$487$	−2.68379	+	8.25986i	−0.121614	+	0.374290i	0.871655	+	0.490120i	$0.163047\pi$
$488$	−7.59110	+	8.43077i	−0.343633	+	0.381643i
$489$	−7.87520	+	1.51171i	−0.356129	+	0.0683618i
$490$	0.619900	+	5.89795i	0.0280042	+	0.266442i
$491$	32.4719	+	6.90211i	1.46544	+	0.311488i	0.870453	−	0.492251i	$-0.163826\pi$
$491$	32.4719	+	6.90211i	1.46544	+	0.311488i	0.594982	+	0.803739i	$0.297159\pi$
$492$	0.760262	+	0.177391i	0.0342753	+	0.00799742i
$493$	−3.34970	+	31.8703i	−0.150863	+	1.43537i
$494$	−6.10872			−0.274844
$495$	3.85713	−	4.45221i	0.173365	−	0.200112i
$496$	42.2506			1.89711
$497$	0.928921	−	8.83810i	0.0416678	−	0.396443i
$498$	−5.40238	−	17.8191i	−0.242086	−	0.798493i
$499$	−20.4207	−	4.34055i	−0.914155	−	0.194310i	−0.273262	−	0.961940i	$-0.588103\pi$
$499$	−20.4207	−	4.34055i	−0.914155	−	0.194310i	−0.640893	+	0.767630i	$0.721436\pi$
$500$	0.233210	+	2.21885i	0.0104295	+	0.0992299i
$501$	−9.64413	+	27.7976i	−0.430868	+	1.24190i
$502$	21.2842	−	23.6385i	0.949961	−	1.05504i
$503$	7.20593	−	22.1776i	0.321297	−	0.988850i	−0.651788	−	0.758401i	$-0.725981\pi$
$503$	7.20593	−	22.1776i	0.321297	−	0.988850i	0.973085	−	0.230448i	$-0.0740193\pi$
$504$	4.48221	−	2.99293i	0.199654	−	0.133316i
$505$	−8.50663			−0.378540
$506$	−22.7903	+	1.33957i	−1.01315	+	0.0595511i
$507$	1.54561	+	18.1546i	0.0686431	+	0.806275i
$508$	−4.27998	+	1.90557i	−0.189893	+	0.0845459i
$509$	4.33678	+	4.81648i	0.192224	+	0.213487i	0.831551	−	0.555449i	$-0.187453\pi$
$509$	4.33678	+	4.81648i	0.192224	+	0.213487i	−0.639327	+	0.768935i	$0.720787\pi$
$510$	−0.904130	+	7.22405i	−0.0400356	+	0.319886i
$511$	10.2118	+	4.54658i	0.451743	+	0.201129i
$512$	10.4751	−	7.61063i	0.462940	−	0.336346i
$513$	−10.9816	+	7.02265i	−0.484849	+	0.310058i
$514$	−1.61605	+	4.97368i	−0.0712807	+	0.219379i
$515$	0.274076	−	2.60766i	0.0120772	−	0.114907i
$516$	−2.58089	−	1.21083i	−0.113617	−	0.0533040i
$517$	−0.471224	+	0.589529i	−0.0207244	+	0.0259275i
$518$	−1.61390	+	2.79537i	−0.0709109	+	0.122821i
$519$	0.529312	−	0.876282i	0.0232342	−	0.0384645i
$520$	−2.26960	+	0.482418i	−0.0995284	+	0.0211554i
$521$	−10.2625	−	31.5848i	−0.449610	−	1.38376i	−0.877348	−	0.479855i	$-0.840689\pi$
$521$	−10.2625	−	31.5848i	−0.449610	−	1.38376i	0.427738	−	0.903903i	$-0.359311\pi$
$522$	22.5944	−	23.1795i	0.988929	−	1.01454i
$523$	32.4728	−	23.5929i	1.41994	−	1.03164i	0.428154	−	0.903706i	$-0.359164\pi$
$523$	32.4728	−	23.5929i	1.41994	−	1.03164i	0.991782	−	0.127938i	$-0.0408359\pi$
$524$	−1.80079	+	1.99998i	−0.0786677	+	0.0873694i
$525$	−1.68686	−	5.56390i	−0.0736205	−	0.242828i
$526$	−20.1732	+	8.98168i	−0.879593	+	0.391620i
$527$	20.9585	−	36.3011i	0.912965	−	1.58130i
$528$	12.3884	−	23.5267i	0.539137	−	1.02387i
$529$	1.58985	+	2.75370i	0.0691240	+	0.119726i
$530$	4.22376	+	3.06874i	0.183468	+	0.133298i
$531$	−3.07734	+	21.1782i	−0.133545	+	0.919058i
$532$	0.218567	+	0.672680i	0.00947608	+	0.0291644i
$533$	1.66055	+	0.739324i	0.0719264	+	0.0320237i
$534$	21.8679	+	25.2751i	0.946315	+	1.09376i
$535$	9.11750	+	1.93798i	0.394184	+	0.0837864i
$536$	13.4730	+	14.9633i	0.581945	+	0.646315i
$537$	8.06151	+	14.6238i	0.347880	+	0.631062i
$538$	−5.19534	−	8.99859i	−0.223987	−	0.387957i
$539$	−15.2903	−	15.0973i	−0.658599	−	0.650287i
$540$	0.855454	−	0.843551i	0.0368129	−	0.0363007i
$541$	−19.9410	−	14.4880i	−0.857332	−	0.622888i	0.0698260	−	0.997559i	$-0.477756\pi$
$541$	−19.9410	−	14.4880i	−0.857332	−	0.622888i	−0.927158	+	0.374671i	$0.877756\pi$
$542$	6.01969	−	1.27952i	0.258568	−	0.0549602i
$543$	1.02427	−	8.18395i	0.0439555	−	0.351207i
$544$	1.04614	+	9.95337i	0.0448529	+	0.426747i
$545$	0.847630	+	8.06466i	0.0363085	+	0.345452i
$546$	−2.80570	+	1.18323i	−0.120073	+	0.0506374i
$547$	−25.1583	+	5.34756i	−1.07569	+	0.228645i	−0.711505	−	0.702681i	$-0.751986\pi$
$547$	−25.1583	+	5.34756i	−1.07569	+	0.228645i	−0.364186	+	0.931326i	$0.618653\pi$
$548$	−2.92147	−	2.12257i	−0.124799	−	0.0906716i
$549$	4.73774	−	12.8301i	0.202202	−	0.547574i
$550$	−16.9659	−	16.7517i	−0.723427	−	0.714296i
$551$	−8.75329	−	15.1611i	−0.372902	−	0.645886i
$552$	19.1849	+	0.379689i	0.816563	+	0.0161606i
$553$	−7.06240	−	7.84359i	−0.300324	−	0.333543i
$554$	19.8602	+	4.22141i	0.843778	+	0.179351i
$555$	0.971929	−	2.80142i	0.0412561	−	0.118914i
$556$	7.71035	+	3.43287i	0.326992	+	0.145586i
$557$	3.60979	+	11.1098i	0.152952	+	0.470737i	0.997948	−	0.0640357i	$-0.0203972\pi$
$557$	3.60979	+	11.1098i	0.152952	+	0.470737i	−0.844996	+	0.534773i	$0.820397\pi$
$558$	−39.3311	+	15.6775i	−1.66502	+	0.663682i
$559$	−5.36998	−	3.90152i	−0.227126	−	0.165017i
$560$	0.989164	+	1.71328i	0.0417998	+	0.0723994i
$561$	−14.0685	−	22.3144i	−0.593972	−	0.942114i
$562$	2.29436	−	3.97396i	0.0967819	−	0.167631i
$563$	7.41991	−	3.30356i	0.312712	−	0.139228i	−0.244379	−	0.969680i	$-0.578584\pi$
$563$	7.41991	−	3.30356i	0.312712	−	0.139228i	0.557091	+	0.830451i	$0.311917\pi$
$564$	−0.105240	+	0.112329i	−0.00443139	+	0.00472989i
$565$	3.18111	−	3.53298i	0.133830	−	0.148634i
$566$	−10.1229	+	7.35468i	−0.425495	+	0.309140i
$567$	−3.68354	+	5.35254i	−0.154694	+	0.224786i
$568$	9.46559	+	29.1321i	0.397167	+	1.22236i
$569$	17.6131	−	3.74379i	0.738381	−	0.156948i	0.176657	−	0.984272i	$-0.443472\pi$
$569$	17.6131	−	3.74379i	0.738381	−	0.156948i	0.561724	+	0.827325i	$0.310138\pi$
$570$	−1.92009	−	3.48309i	−0.0804237	−	0.145891i
$571$	1.30322	−	2.25725i	0.0545382	−	0.0944629i	−0.837467	−	0.546487i	$-0.815965\pi$
$571$	1.30322	−	2.25725i	0.0545382	−	0.0944629i	0.892006	+	0.452024i	$0.149298\pi$
$572$	−1.27372	+	1.59350i	−0.0532569	+	0.0666276i
$573$	0.763738	+	8.97079i	0.0319056	+	0.374760i
$574$	0.134661	−	1.28121i	0.00562063	−	0.0534767i
$575$	6.39652	−	19.6865i	0.266753	−	0.820982i
$576$	−9.42928	+	14.9343i	−0.392887	+	0.622265i
$577$	−28.4684	+	20.6835i	−1.18515	+	0.861064i	−0.992744	−	0.120251i	$-0.961630\pi$
$577$	−28.4684	+	20.6835i	−1.18515	+	0.861064i	−0.192409	+	0.981315i	$0.561630\pi$
$578$	5.77202	+	2.56987i	0.240084	+	0.106893i
$579$	−4.51265	−	3.41707i	−0.187539	−	0.142009i
$580$	1.07967	+	1.19909i	0.0448307	+	0.0497895i
$581$	−4.58575	+	2.04171i	−0.190249	+	0.0847042i
$582$	−31.1582	+	21.7089i	−1.29155	+	0.899864i
$583$	−18.8841	+	1.10997i	−0.782099	+	0.0459702i
$584$	−38.5294			−1.59436
$585$	2.32634	−	1.55338i	0.0961822	−	0.0642242i
$586$	−7.50863	+	23.1092i	−0.310179	+	0.954631i
$587$	15.7596	−	17.5029i	0.650470	−	0.722420i	−0.324220	−	0.945982i	$-0.605102\pi$
$587$	15.7596	−	17.5029i	0.650470	−	0.722420i	0.974690	+	0.223562i	$0.0717685\pi$
$588$	−2.86742	−	3.31419i	−0.118250	−	0.136675i
$589$	2.39361	+	22.7737i	0.0986269	+	0.938372i
$590$	−6.38709	−	1.35762i	−0.262952	−	0.0558923i
$591$	−26.6005	+	28.3923i	−1.09420	+	1.16790i
$592$	1.39905	−	13.3111i	0.0575005	−	0.547081i
$593$	13.1828			0.541354			0.270677	−	0.962670i	$-0.412752\pi$
$593$	13.1828			0.541354			0.270677	+	0.962670i	$0.412752\pi$
$594$	−2.80258	+	26.4978i	−0.114991	+	1.08722i
$595$	1.96270			0.0804630
$596$	0.0468001	−	0.445273i	0.00191701	−	0.0182391i
$597$	−24.6661	+	26.3276i	−1.00952	+	1.07752i
$598$	−10.6042	−	2.25399i	−0.433638	−	0.0921726i
$599$	−3.57659	−	34.0290i	−0.146135	−	1.39039i	−0.784250	−	0.620445i	$-0.786952\pi$
$599$	−3.57659	−	34.0290i	−0.146135	−	1.39039i	0.638115	−	0.769941i	$-0.279715\pi$
$600$	13.1120	+	15.1550i	0.535295	+	0.618698i
$601$	19.4239	−	21.5724i	0.792316	−	0.879956i	−0.202744	−	0.979232i	$-0.564986\pi$
$601$	19.4239	−	21.5724i	0.792316	−	0.879956i	0.995060	+	0.0992759i	$0.0316526\pi$
$602$	−1.45372	+	4.47410i	−0.0592493	+	0.182351i
$603$	−21.7676	−	10.7429i	−0.886446	−	0.437485i
$604$	0.343924			0.0139941
$605$	−6.48480	−	0.598412i	−0.263645	−	0.0243289i
$606$	31.5714	−	21.9968i	1.28250	−	0.893561i
$607$	−2.88347	+	1.28380i	−0.117037	+	0.0521080i	−0.464420	−	0.885615i	$-0.653737\pi$
$607$	−2.88347	+	1.28380i	−0.117037	+	0.0521080i	0.347383	+	0.937723i	$0.387070\pi$
$608$	−3.65844	−	4.06311i	−0.148369	−	0.164781i
$609$	−6.95697	−	5.26797i	−0.281911	−	0.213469i
$610$	3.81231	+	1.69735i	0.154356	+	0.0687238i
$611$	−0.289945	+	0.210657i	−0.0117299	+	0.00852229i
$612$	−2.50357	−	4.76205i	−0.101201	−	0.192495i
$613$	10.4884	−	32.2798i	0.423620	−	1.30377i	−0.480689	−	0.876891i	$-0.659613\pi$
$613$	10.4884	−	32.2798i	0.423620	−	1.30377i	0.904309	−	0.426878i	$-0.140387\pi$
$614$	0.567779	−	5.40206i	0.0229137	−	0.218009i
$615$	0.100393	+	1.17920i	0.00404822	+	0.0475500i
$616$	−5.57613	−	2.09994i	−0.224669	−	0.0846091i
$617$	10.8039	−	18.7129i	0.434948	−	0.753351i	−0.562344	−	0.826904i	$-0.690100\pi$
$617$	10.8039	−	18.7129i	0.434948	−	0.753351i	0.997291	+	0.0735523i	$0.0234336\pi$
$618$	5.72580	+	10.3867i	0.230326	+	0.417816i
$619$	−20.0643	+	4.26481i	−0.806454	+	0.171417i	−0.592651	−	0.805460i	$-0.701919\pi$
$619$	−20.0643	+	4.26481i	−0.806454	+	0.171417i	−0.213803	+	0.976877i	$0.568585\pi$
$620$	−0.652196	−	2.00725i	−0.0261928	−	0.0806132i
$621$	−21.6543	+	8.13872i	−0.868958	+	0.326596i
$622$	−32.9404	+	23.9326i	−1.32079	+	0.959611i
$623$	6.02896	−	6.69584i	0.241545	−	0.268263i
$624$	8.63267	−	9.21418i	0.345583	−	0.368862i
$625$	18.1479	−	8.07996i	0.725915	−	0.323198i
$626$	1.90263	−	3.29545i	0.0760444	−	0.131713i
$627$	13.3830	+	5.34469i	0.534467	+	0.213446i
$628$	1.91094	+	3.30985i	0.0762550	+	0.132078i
$629$	−10.7427	−	7.80501i	−0.428339	−	0.311206i
$630$	−1.55654	−	1.22786i	−0.0620142	−	0.0489189i
$631$	9.22863	+	28.4028i	0.367386	+	1.13070i	0.948473	+	0.316857i	$0.102628\pi$
$631$	9.22863	+	28.4028i	0.367386	+	1.13070i	−0.581087	+	0.813841i	$0.697372\pi$
$632$	33.2348	+	14.7971i	1.32201	+	0.588596i
$633$	1.92573	−	5.55059i	0.0765409	−	0.220616i
$634$	40.0881	+	8.52098i	1.59210	+	0.338411i
$635$	−4.75230	−	5.27796i	−0.188589	−	0.209450i
$636$	−3.85734	−	0.0763407i	−0.152953	−	0.00302711i
$637$	−5.10193	−	8.83680i	−0.202146	−	0.350127i
$638$	−35.3803	−	5.37360i	−1.40072	−	0.212743i
$639$	−23.6046	−	28.3992i	−0.933784	−	1.12345i
$640$	−6.44762	−	4.68447i	−0.254864	−	0.185170i
$641$	37.2870	−	7.92561i	1.47275	−	0.313043i	0.599523	−	0.800357i	$-0.295357\pi$
$641$	37.2870	−	7.92561i	1.47275	−	0.313043i	0.873226	+	0.487315i	$0.162024\pi$
$642$	−38.8499	+	16.3838i	−1.53328	+	0.646619i
$643$	1.75871	+	16.7330i	0.0693566	+	0.659884i	0.972875	+	0.231333i	$0.0743088\pi$
$643$	1.75871	+	16.7330i	0.0693566	+	0.659884i	−0.903518	+	0.428550i	$0.859024\pi$
$644$	0.131208	+	1.24836i	0.00517032	+	0.0491923i
$645$	0.536692	−	4.28820i	0.0211322	−	0.168848i
$646$	−17.4215	+	3.70306i	−0.685440	+	0.145695i
$647$	16.9687	+	12.3285i	0.667109	+	0.484683i	0.869056	−	0.494713i	$-0.164727\pi$
$647$	16.9687	+	12.3285i	0.667109	+	0.484683i	−0.201947	+	0.979396i	$0.564727\pi$
$648$	4.09487	−	22.0185i	0.160862	−	0.864968i
$649$	21.0120	−	10.8748i	0.824792	−	0.426872i
$650$	−5.66102	−	9.80517i	−0.222043	−	0.384591i
$651$	5.51051	+	9.99620i	0.215974	+	0.391782i
$652$	1.20985	+	1.34368i	0.0473815	+	0.0526225i
$653$	−19.3345	−	4.10968i	−0.756619	−	0.160824i	−0.186577	−	0.982440i	$-0.559739\pi$
$653$	−19.3345	−	4.10968i	−0.756619	−	0.160824i	−0.570041	+	0.821616i	$0.693073\pi$
$654$	−23.9998	−	27.7392i	−0.938468	−	1.08469i
$655$	−3.72703	−	1.65938i	−0.145627	−	0.0648374i
$656$	1.65074	+	5.08046i	0.0644506	+	0.198358i
$657$	43.1485	−	17.1991i	1.68338	−	0.671002i
$658$	0.205494	+	0.149300i	0.00801101	+	0.00582034i
$659$	5.90277	+	10.2239i	0.229939	+	0.398267i	0.957790	−	0.287469i	$-0.0928139\pi$
$659$	5.90277	+	10.2239i	0.229939	+	0.398267i	−0.727851	+	0.685736i	$0.759481\pi$
$660$	−1.30894	−	0.225386i	−0.0509506	−	0.00877316i
$661$	−8.90382	+	15.4219i	−0.346318	+	0.599841i	−0.985592	−	0.169138i	$-0.945902\pi$
$661$	−8.90382	+	15.4219i	−0.346318	+	0.599841i	0.639274	+	0.768979i	$0.279235\pi$
$662$	11.4466	−	5.09634i	0.444884	−	0.198075i
$663$	−3.63444	−	11.9878i	−0.141150	−	0.465567i
$664$	11.5774	−	12.8580i	0.449291	−	0.498988i
$665$	−0.867445	+	0.630235i	−0.0336381	+	0.0244395i
$666$	3.63683	+	12.9104i	0.140924	+	0.500268i
$667$	−9.60079	−	29.5482i	−0.371744	−	1.14411i
$668$	6.48925	−	1.37933i	0.251076	−	0.0533679i
$669$	9.87454	−	16.3474i	0.381772	−	0.632027i
$670$	3.70329	−	6.41429i	0.143071	−	0.247806i
$671$	−14.5800	+	4.00611i	−0.562854	+	0.154654i
$672$	−2.46731	−	1.15755i	−0.0951784	−	0.0446533i
$673$	−2.05976	+	19.5973i	−0.0793980	+	0.755422i	0.880306	+	0.474407i	$0.157338\pi$
$673$	−2.05976	+	19.5973i	−0.0793980	+	0.755422i	−0.959704	+	0.281014i	$0.909329\pi$
$674$	11.8111	−	36.3508i	0.454946	−	1.40018i
$675$	−21.4489	−	11.1187i	−0.825569	−	0.427960i
$676$	3.32365	−	2.41477i	0.127833	−	0.0928760i
$677$	−11.3407	−	5.04919i	−0.435857	−	0.194056i	0.177065	−	0.984199i	$-0.443340\pi$
$677$	−11.3407	−	5.04919i	−0.435857	−	0.194056i	−0.612923	+	0.790143i	$0.710006\pi$
$678$	−2.67059	+	21.3381i	−0.102563	+	0.819485i
$679$	6.85029	+	7.60802i	0.262890	+	0.291969i
$680$	−6.18025	+	2.75162i	−0.237002	+	0.105520i
$681$	0.876706	+	10.2977i	0.0335955	+	0.394609i
$682$	39.4186	+	25.2443i	1.50942	+	0.966654i
$683$	2.02837			0.0776135			0.0388068	−	0.999247i	$-0.487644\pi$
$683$	2.02837			0.0776135			0.0388068	+	0.999247i	$0.487644\pi$
$684$	2.63561	+	1.30075i	0.100775	+	0.0497352i
$685$	1.69164	−	5.20632i	0.0646341	−	0.198923i
$686$	−10.0674	+	11.1810i	−0.384375	+	0.426891i
$687$	14.0515	−	40.5011i	0.536099	−	1.54521i
$688$	−2.03903	−	19.4001i	−0.0777374	−	0.739622i
$689$	−8.78666	−	1.86766i	−0.334745	−	0.0711523i
$690$	−2.04792	−	6.75482i	−0.0779630	−	0.257152i
$691$	−0.244897	+	2.33004i	−0.00931631	+	0.0886387i	−0.998192	−	0.0601053i	$-0.980856\pi$
$691$	−0.244897	+	2.33004i	−0.00931631	+	0.0886387i	0.988876	+	0.148744i	$0.0475230\pi$
$692$	−0.230830			−0.00877483
$693$	7.18200	−	0.137434i	0.272822	−	0.00522069i
$694$	−3.19995			−0.121469
$695$	−1.33740	+	12.7245i	−0.0507304	+	0.482667i
$696$	29.2919	+	6.83465i	1.11031	+	0.259067i
$697$	5.18391	+	1.10187i	0.196355	+	0.0417364i
$698$	0.842705	+	8.01780i	0.0318969	+	0.303478i
$699$	−7.12447	+	1.36760i	−0.269472	+	0.0517274i
$700$	−0.877178	+	0.974205i	−0.0331542	+	0.0368215i
$701$	−1.37008	+	4.21668i	−0.0517473	+	0.159262i	−0.973591	−	0.228301i	$-0.926683\pi$
$701$	−1.37008	+	4.21668i	−0.0517473	+	0.159262i	0.921843	+	0.387563i	$0.126683\pi$
$702$	−4.61714	+	11.7807i	−0.174263	+	0.444635i
$703$	7.25411			0.273594
$704$	19.4924	−	1.14573i	0.734649	−	0.0431812i
$705$	−0.211249	−	0.0991082i	−0.00795609	−	0.00373263i
$706$	30.6117	−	13.6292i	1.15209	−	0.512942i
$707$	−6.94114	−	7.70892i	−0.261049	−	0.289924i
$708$	4.44616	−	1.87504i	0.167097	−	0.0704684i
$709$	27.2990	+	12.1543i	1.02524	+	0.456465i	0.849286	−	0.527934i	$-0.177033\pi$
$709$	27.2990	+	12.1543i	1.02524	+	0.456465i	0.175952	+	0.984399i	$0.443700\pi$
$710$	9.11565	−	6.62291i	0.342104	−	0.248553i
$711$	−43.8243	−	1.73534i	−1.64354	−	0.0650803i
$712$	−9.59699	+	29.5365i	−0.359662	+	1.10693i
$713$	−4.24792	+	40.4163i	−0.159086	+	1.51360i
$714$	−7.28435	+	5.07525i	−0.272610	+	0.189936i
$715$	−2.89409	−	1.08990i	−0.108233	−	0.0407600i
$716$	1.88258	−	3.26072i	0.0703551	−	0.121859i
$717$	−12.7676	−	0.252685i	−0.476816	−	0.00943669i
$718$	−13.2374	+	2.81369i	−0.494014	+	0.105006i
$719$	−6.68469	−	20.5734i	−0.249297	−	0.767257i	−0.994900	−	0.100867i	$-0.967838\pi$
$719$	−6.68469	−	20.5734i	−0.249297	−	0.767257i	0.745603	−	0.666390i	$-0.232162\pi$
$720$	7.96719	+	2.02601i	0.296920	+	0.0755051i
$721$	2.58676	−	1.87939i	0.0963360	−	0.0699922i
$722$	−13.1462	+	14.6003i	−0.489250	+	0.543367i
$723$	14.8927	+	3.47489i	0.553864	+	0.129233i
$724$	−1.69891	+	0.756405i	−0.0631396	+	0.0281116i
$725$	16.2235	−	28.1000i	0.602527	−	1.04361i
$726$	25.6150	−	14.5478i	0.950662	−	0.539918i
$727$	6.22109	+	10.7752i	0.230727	+	0.399631i	0.958022	−	0.286694i	$-0.0925561\pi$
$727$	6.22109	+	10.7752i	0.230727	+	0.399631i	−0.727295	+	0.686325i	$0.759223\pi$
$728$	−2.28910	−	1.66313i	−0.0848396	−	0.0616396i
$729$	5.24305	+	26.4860i	0.194187	+	0.980965i
$730$	4.37965	+	13.4792i	0.162098	+	0.498887i
$731$	−17.6798	−	7.87154i	−0.653909	−	0.291139i
$732$	−3.02853	+	0.581351i	−0.111938	+	0.0214873i
$733$	51.2082	+	10.8846i	1.89142	+	0.402033i	0.998809	−	0.0487988i	$-0.0155393\pi$
$733$	51.2082	+	10.8846i	1.89142	+	0.402033i	0.892609	+	0.450832i	$0.148873\pi$
$734$	−7.00012	−	7.77442i	−0.258379	−	0.286959i
$735$	3.43496	−	5.68662i	0.126701	−	0.209754i
$736$	−4.85153	−	8.40310i	−0.178830	−	0.309742i
$737$	4.36635	+	26.4786i	0.160837	+	0.975352i
$738$	−3.42183	−	4.11688i	−0.125959	−	0.151544i
$739$	37.7617	+	27.4355i	1.38909	+	1.00923i	0.995965	+	0.0897445i	$0.0286051\pi$
$739$	37.7617	+	27.4355i	1.38909	+	1.00923i	0.393122	+	0.919486i	$0.371395\pi$
$740$	−0.653982	+	0.139008i	−0.0240408	+	0.00511004i
$741$	5.45564	+	4.13113i	0.200418	+	0.151761i
$742$	0.665485	+	6.33167i	0.0244307	+	0.232443i
$743$	2.28623	+	21.7521i	0.0838738	+	0.798006i	0.952909	+	0.303256i	$0.0980736\pi$
$743$	2.28623	+	21.7521i	0.0838738	+	0.798006i	−0.869035	+	0.494750i	$0.835260\pi$
$744$	−31.3660	−	23.7510i	−1.14993	−	0.870754i
$745$	0.663893	−	0.141115i	0.0243232	−	0.00517005i
$746$	27.3853	+	19.8966i	1.00265	+	0.728466i
$747$	−7.22567	+	19.5675i	−0.264373	+	0.715938i
$748$	−2.66657	+	5.31664i	−0.0974994	+	0.194395i
$749$	5.68334	+	9.84384i	0.207665	+	0.359686i
$750$	7.91008	−	13.0952i	0.288835	−	0.478170i
$751$	26.4923	+	29.4227i	0.966718	+	1.07365i	0.997250	+	0.0741152i	$0.0236132\pi$
$751$	26.4923	+	29.4227i	0.966718	+	1.07365i	−0.0305318	+	0.999534i	$0.509720\pi$
$752$	−1.03024	−	0.218984i	−0.0375689	−	0.00798551i
$753$	−34.9947	+	6.71751i	−1.27528	+	0.244800i
$754$	−15.5245	−	6.91196i	−0.565370	−	0.251719i
$755$	0.161111	+	0.495850i	0.00586344	+	0.0180458i
$756$	1.46247	+	0.0869222i	0.0531895	+	0.00316133i
$757$	−18.7253	−	13.6047i	−0.680583	−	0.494472i	0.192968	−	0.981205i	$-0.438189\pi$
$757$	−18.7253	−	13.6047i	−0.680583	−	0.494472i	−0.873551	+	0.486733i	$0.838189\pi$
$758$	26.1480	+	45.2896i	0.949736	+	1.64499i
$759$	21.2597	+	14.2160i	0.771679	+	0.516008i
$760$	1.84789	−	3.20063i	0.0670299	−	0.116099i
$761$	−13.6053	+	6.05747i	−0.493192	+	0.219583i	−0.638234	−	0.769842i	$-0.720335\pi$
$761$	−13.6053	+	6.05747i	−0.493192	+	0.219583i	0.145042	+	0.989425i	$0.453668\pi$
$762$	31.2856	+	7.29985i	1.13336	+	0.264446i
$763$	−6.61675	+	7.34864i	−0.239542	+	0.266039i
$764$	1.64233	−	1.19322i	0.0594173	−	0.0431692i
$765$	5.69286	−	5.84029i	0.205826	−	0.211156i
$766$	−8.77872	−	27.0181i	−0.317188	−	0.976204i
$767$	10.9896	−	2.33591i	0.396811	−	0.0843447i
$768$	15.6526	+	0.309781i	0.564814	+	0.0111783i
$769$	−10.8117	+	18.7264i	−0.389879	+	0.675290i	−0.992433	−	0.122788i	$-0.960816\pi$
$769$	−10.8117	+	18.7264i	−0.389879	+	0.675290i	0.602554	+	0.798078i	$0.294150\pi$
$770$	−0.100807	+	2.18946i	−0.00363282	+	0.0789026i
$771$	4.80681	−	3.34906i	0.173113	−	0.120614i
$772$	−0.133409	+	1.26930i	−0.00480151	+	0.0456833i
$773$	−1.87664	+	5.77569i	−0.0674979	+	0.207737i	−0.979117	−	0.203300i	$-0.934833\pi$
$773$	−1.87664	+	5.77569i	−0.0674979	+	0.207737i	0.911619	+	0.411037i	$0.134833\pi$
$774$	9.09675	+	17.3030i	0.326976	+	0.621942i
$775$	−34.3361	+	24.9466i	−1.23339	+	0.896109i
$776$	−32.2366	−	14.3527i	−1.15723	−	0.515231i
$777$	3.33178	−	1.40508i	0.119527	−	0.0504071i
$778$	−31.8714	−	35.3968i	−1.14265	−	1.26904i
$779$	−2.64492	+	1.17759i	−0.0947641	+	0.0421917i
$780$	−0.571007	−	0.267890i	−0.0204453	−	0.00959200i
$781$	−10.3158	+	39.5009i	−0.369129	+	1.41345i
$782$	−31.6086			−1.13032
$783$	−35.8544	+	5.42158i	−1.28133	+	0.193751i
$784$	9.26663	−	28.5197i	0.330951	−	1.01856i
$785$	−3.87678	+	4.30560i	−0.138368	+	0.153673i
$786$	18.1234	−	3.47893i	0.646439	−	0.124089i
$787$	−5.34719	−	50.8751i	−0.190607	−	1.81350i	−0.503808	−	0.863816i	$-0.668068\pi$
$787$	−5.34719	−	50.8751i	−0.190607	−	1.81350i	0.313201	−	0.949687i	$-0.398599\pi$
$788$	8.58080	+	1.82391i	0.305678	+	0.0649739i
$789$	24.0905	+	5.62102i	0.857644	+	0.200113i
$790$	1.39882	−	13.3089i	0.0497678	−	0.473509i
$791$	5.79736			0.206130
$792$	−22.4223	+	10.5016i	−0.796743	+	0.373158i
$793$	−7.18019			−0.254976
$794$	1.34072	−	12.7561i	0.0475805	−	0.452699i
$795$	−1.69691	−	5.59705i	−0.0601832	−	0.198507i
$796$	7.95681	+	1.69127i	0.282022	+	0.0599455i
$797$	2.64052	+	25.1228i	0.0935319	+	0.889897i	0.936201	+	0.351465i	$0.114316\pi$
$797$	2.64052	+	25.1228i	0.0935319	+	0.889897i	−0.842669	+	0.538432i	$0.819017\pi$
$798$	1.58973	−	4.58212i	0.0562758	−	0.162205i
$799$	−0.699198	+	0.776538i	−0.0247359	+	0.0274719i
$800$	3.13143	−	9.63754i	0.110713	−	0.340738i
$801$	−2.43728	−	37.3614i	−0.0861170	−	1.32010i
$802$	−6.08192			−0.214760
$803$	−43.2445	−	27.6944i	−1.52606	−	0.977316i
$804$	0.464295	+	5.45357i	0.0163744	+	0.192332i
$805$	−1.73835	+	0.773964i	−0.0612689	+	0.0272787i
$806$	14.8736	+	16.5188i	0.523901	+	0.581851i
$807$	−1.44555	+	11.5500i	−0.0508856	+	0.406579i
$808$	32.6641	+	14.5430i	1.14912	+	0.511621i
$809$	−41.5248	+	30.1696i	−1.45994	+	1.06071i	−0.476556	+	0.879144i	$0.658115\pi$
$809$	−41.5248	+	30.1696i	−1.45994	+	1.06071i	−0.983380	+	0.181561i	$0.941885\pi$
$810$	−8.16844	+	1.07029i	−0.287010	+	0.0376063i
$811$	1.40476	−	4.32339i	0.0493276	−	0.151815i	−0.923359	−	0.383939i	$-0.874567\pi$
$811$	1.40476	−	4.32339i	0.0493276	−	0.151815i	0.972686	+	0.232124i	$0.0745674\pi$
$812$	−0.205672	+	1.95684i	−0.00721767	+	0.0686715i
$813$	−6.24142	−	2.92819i	−0.218896	−	0.102696i
$814$	9.25850	−	11.5829i	0.324510	−	0.405981i
$815$	−1.37048	+	2.37375i	−0.0480059	+	0.0831487i
$816$	19.0340	−	31.5111i	0.666325	−	1.10311i
$817$	10.3414	−	2.19814i	0.361800	−	0.0769030i
$818$	−1.19649	−	3.68241i	−0.0418342	−	0.128753i
$819$	3.30592	+	0.840678i	0.115518	+	0.0293757i
$820$	0.215882	−	0.156848i	0.00753894	−	0.00547736i
$821$	7.27599	−	8.08080i	0.253934	−	0.282022i	−0.602677	−	0.797985i	$-0.705899\pi$
$821$	7.27599	−	8.08080i	0.253934	−	0.282022i	0.856611	+	0.515963i	$0.172566\pi$
$822$	7.18443	+	23.6970i	0.250586	+	0.826527i
$823$	−21.5744	+	9.60555i	−0.752037	+	0.334828i	−0.746703	−	0.665157i	$-0.768364\pi$
$823$	−21.5744	+	9.60555i	−0.752037	+	0.334828i	−0.00533378	+	0.999986i	$0.501698\pi$
$824$	−5.51048	+	9.54444i	−0.191967	+	0.332496i
$825$	3.82340	+	26.4343i	0.133114	+	0.920323i
$826$	−3.98136	−	6.89591i	−0.138529	−	0.239940i
$827$	22.3321	+	16.2252i	0.776564	+	0.564207i	0.903946	−	0.427647i	$-0.140657\pi$
$827$	22.3321	+	16.2252i	0.776564	+	0.564207i	−0.127382	+	0.991854i	$0.540657\pi$
$828$	4.09524	+	3.23047i	0.142319	+	0.112266i
$829$	−4.97546	−	15.3129i	−0.172805	−	0.531839i	0.826722	−	0.562611i	$-0.190203\pi$
$829$	−4.97546	−	15.3129i	−0.172805	−	0.531839i	−0.999526	+	0.0307727i	$0.990203\pi$
$830$	−5.81427	−	2.58868i	−0.201816	−	0.0898545i
$831$	−14.8821	−	17.2009i	−0.516255	−	0.596692i
$832$	9.06972	+	1.92783i	0.314436	+	0.0668354i
$833$	−19.9070	−	22.1090i	−0.689738	−	0.766032i
$834$	−27.9400	−	50.6838i	−0.967482	−	1.75504i
$835$	5.02854	+	8.70968i	0.174020	+	0.301411i
$836$	−0.528675	−	3.20601i	−0.0182846	−	0.110882i
$837$	45.7284	+	12.5969i	1.58061	+	0.435412i
$838$	−13.4334	−	9.75993i	−0.464049	−	0.337151i
$839$	19.0073	−	4.04012i	0.656205	−	0.139481i	0.132236	−	0.991218i	$-0.457784\pi$
$839$	19.0073	−	4.04012i	0.656205	−	0.139481i	0.523968	+	0.851738i	$0.324451\pi$
$840$	0.228779	−	1.82796i	0.00789364	−	0.0630706i
$841$	−2.05933	−	19.5932i	−0.0710114	−	0.675629i
$842$	−3.58583	−	34.1169i	−0.123576	−	1.17575i
$843$	−4.73653	+	1.99750i	−0.163135	+	0.0687975i
$844$	−1.29577	+	0.275424i	−0.0446021	+	0.00948047i
$845$	5.03845	+	3.66065i	0.173328	+	0.125930i
$846$	1.04030	−	0.178428i	0.0357664	−	0.00613449i
$847$	−4.74909	−	6.36497i	−0.163181	−	0.218703i
$848$	−13.1997	−	22.8626i	−0.453280	−	0.785103i
$849$	14.0144	+	0.277359i	0.480971	+	0.00951893i
$850$	−22.0885	−	24.5318i	−0.757631	−	0.841434i
$851$	12.5925	+	2.67662i	0.431666	+	0.0917533i
$852$	−2.72921	+	7.86648i	−0.0935012	+	0.269501i
$853$	−18.0750	−	8.04749i	−0.618875	−	0.275541i	0.0732555	−	0.997313i	$-0.476661\pi$
$853$	−18.0750	−	8.04749i	−0.618875	−	0.275541i	−0.692131	+	0.721772i	$0.743328\pi$
$854$	1.57255	+	4.83980i	0.0538114	+	0.165614i
$855$	−0.640687	+	4.40921i	−0.0219110	+	0.150792i
$856$	−31.6966	−	23.0289i	−1.08337	−	0.787112i
$857$	2.17032	+	3.75911i	0.0741369	+	0.128409i	0.900711	−	0.434420i	$-0.143047\pi$
$857$	2.17032	+	3.75911i	0.0741369	+	0.128409i	−0.826574	+	0.562828i	$0.809713\pi$
$858$	13.5594	−	3.43863i	0.462911	−	0.117393i
$859$	2.58967	−	4.48545i	0.0883586	−	0.153042i	−0.818459	−	0.574565i	$-0.805171\pi$
$859$	2.58967	−	4.48545i	0.0883586	−	0.153042i	0.906817	+	0.421524i	$0.138505\pi$
$860$	−0.890190	+	0.396338i	−0.0303552	+	0.0135150i
$861$	−0.986705	+	1.05317i	−0.0336268	+	0.0358919i
$862$	−19.0963	+	21.2085i	−0.650421	+	0.722366i
$863$	2.17943	−	1.58345i	0.0741886	−	0.0539011i	−0.550073	−	0.835117i	$-0.685400\pi$
$863$	2.17943	−	1.58345i	0.0741886	−	0.0539011i	0.624261	+	0.781216i	$0.285400\pi$
$864$	−10.6009	+	3.98433i	−0.360650	+	0.135550i
$865$	−0.108132	−	0.332797i	−0.00367661	−	0.0113155i
$866$	−22.8616	+	4.85939i	−0.776870	+	0.165129i
$867$	−3.41702	−	6.19856i	−0.116048	−	0.210514i
$868$	1.28685	−	2.22889i	0.0436785	−	0.0756534i
$869$	26.6659	+	40.4966i	0.904580	+	1.37375i
$870$	−0.938574	−	11.0244i	−0.0318207	−	0.373762i
$871$	−1.33208	+	12.6739i	−0.0451358	+	0.429438i
$872$	10.5326	−	32.4161i	0.356680	−	1.09775i
$873$	42.5081	+	1.68322i	1.43868	+	0.0569683i
$874$	13.9699	−	10.1497i	0.472538	−	0.343319i
$875$	−3.76780	−	1.67753i	−0.127375	−	0.0567109i
$876$	−8.34970	−	6.32257i	−0.282110	−	0.213620i
$877$	−13.9479	−	15.4907i	−0.470986	−	0.523083i	0.460107	−	0.887863i	$-0.347811\pi$
$877$	−13.9479	−	15.4907i	−0.470986	−	0.523083i	−0.931094	+	0.364780i	$0.881144\pi$
$878$	33.8361	−	15.0648i	1.14191	−	0.508413i
$879$	22.3339	−	15.5607i	0.753302	−	0.524851i
$880$	−3.31081	−	8.46389i	−0.111607	−	0.285318i
$881$	11.5843			0.390286			0.195143	−	0.980775i	$-0.437483\pi$
$881$	11.5843			0.390286			0.195143	+	0.980775i	$0.437483\pi$
$882$	1.95624	+	29.9875i	0.0658700	+	1.00973i
$883$	4.75801	−	14.6437i	0.160120	−	0.492798i	−0.838524	−	0.544865i	$-0.816581\pi$
$883$	4.75801	−	14.6437i	0.160120	−	0.492798i	0.998644	+	0.0520667i	$0.0165808\pi$
$884$	−1.88994	+	2.09899i	−0.0635654	+	0.0705966i
$885$	4.78614	+	5.53186i	0.160884	+	0.185951i
$886$	−4.12082	−	39.2070i	−0.138442	−	1.31718i
$887$	5.78081	+	1.22875i	0.194101	+	0.0412574i	0.303936	−	0.952692i	$-0.401699\pi$
$887$	5.78081	+	1.22875i	0.194101	+	0.0412574i	−0.109835	+	0.993950i	$0.535032\pi$
$888$	−8.52139	+	9.09539i	−0.285959	+	0.305221i
$889$	0.905294	−	8.61330i	0.0303626	−	0.288881i
$890$	11.4240			0.382932
$891$	20.4226	−	21.7697i	0.684182	−	0.729311i
$892$	−4.30623			−0.144183
$893$	0.0596696	−	0.567719i	0.00199677	−	0.0189980i
$894$	−2.09906	+	2.24046i	−0.0702031	+	0.0749321i
$895$	5.58301	+	1.18671i	0.186619	+	0.0396672i
$896$	−1.01587	−	9.66536i	−0.0339378	−	0.322897i
$897$	7.94621	+	9.18429i	0.265316	+	0.306655i
$898$	−23.2596	+	25.8324i	−0.776182	+	0.862037i
$899$	−19.6852	+	60.5847i	−0.656537	+	2.02061i
$900$	0.354609	+	5.43586i	0.0118203	+	0.181195i
$901$	−26.1909			−0.872546
$902$	−1.49543	+	5.72622i	−0.0497923	+	0.190662i
$903$	4.32399	−	3.01267i	0.143893	−	0.100255i
$904$	−18.2550	+	8.12764i	−0.607152	+	0.270321i
$905$	−1.88640	−	2.09506i	−0.0627060	−	0.0696421i
$906$	−1.88014	−	1.42368i	−0.0624634	−	0.0472986i
$907$	−6.75413	−	3.00713i	−0.224267	−	0.0998502i	0.291527	−	0.956562i	$-0.405837\pi$
$907$	−6.75413	−	3.00713i	−0.224267	−	0.0998502i	−0.515795	+	0.856712i	$0.672503\pi$
$908$	1.88525	−	1.36971i	0.0625642	−	0.0454556i
$909$	−43.0719	−	1.70554i	−1.42860	−	0.0565693i
$910$	−0.321628	+	0.989869i	−0.0106619	+	0.0328138i
$911$	1.48418	−	14.1210i	0.0491730	−	0.467850i	−0.942033	−	0.335521i	$-0.891088\pi$
$911$	1.48418	−	14.1210i	0.0491730	−	0.467850i	0.991206	−	0.132329i	$-0.0422457\pi$
$912$	1.70602	+	20.0387i	0.0564918	+	0.663547i
$913$	22.2364	−	6.10983i	0.735917	−	0.202206i
$914$	−16.7675	+	29.0422i	−0.554620	+	0.960631i
$915$	−2.25688	−	4.09403i	−0.0746100	−	0.135344i
$916$	−9.45485	+	2.00969i	−0.312397	+	0.0664021i
$917$	−1.53737	−	4.73153i	−0.0507684	−	0.156249i
$918$	−6.02630	+	36.3964i	−0.198897	+	1.20126i
$919$	33.6895	−	24.4769i	1.11132	−	0.807418i	0.128445	−	0.991717i	$-0.459001\pi$
$919$	33.6895	−	24.4769i	1.11132	−	0.807418i	0.982870	+	0.184299i	$0.0590013\pi$
$920$	4.38874	−	4.87419i	0.144692	−	0.160697i
$921$	−4.16031	+	4.44055i	−0.137087	+	0.146321i
$922$	−17.0960	+	7.61162i	−0.563026	+	0.250675i
$923$	−9.69344	+	16.7895i	−0.319063	+	0.552634i
$924$	−0.863805	−	1.37010i	−0.0284171	−	0.0450731i
$925$	6.72247	+	11.6437i	0.221033	+	0.382841i
$926$	−25.0555	−	18.2039i	−0.823376	−	0.598218i
$927$	1.91056	−	13.1485i	0.0627510	−	0.431853i
$928$	−4.70008	−	14.4654i	−0.154288	−	0.474849i
$929$	−31.1818	−	13.8830i	−1.02304	−	0.455488i	−0.174524	−	0.984653i	$-0.555839\pi$
$929$	−31.1818	−	13.8830i	−1.02304	−	0.455488i	−0.848519	+	0.529165i	$0.822505\pi$
$930$	−4.74370	+	13.6729i	−0.155552	+	0.448352i
$931$	15.8975	+	3.37912i	0.521020	+	0.110746i
$932$	1.09452	+	1.21559i	0.0358522	+	0.0398179i
$933$	45.6036	+	0.902543i	1.49300	+	0.0295479i
$934$	−4.69059	−	8.12434i	−0.153481	−	0.265837i
$935$	−8.91439	−	1.35393i	−0.291532	−	0.0442781i
$936$	−11.5884	+	1.98759i	−0.378780	+	0.0649666i
$937$	−41.8118	−	30.3780i	−1.36593	−	0.992407i	−0.998043	−	0.0625376i	$-0.980081\pi$
$937$	−41.8118	−	30.3780i	−1.36593	−	0.992407i	−0.367889	−	0.929870i	$-0.619919\pi$
$938$	8.83455	−	1.87784i	0.288458	−	0.0613137i
$939$	−3.92783	+	1.65645i	−0.128180	+	0.0540562i
$940$	0.00549959	+	0.0523251i	0.000179377	+	0.00170666i
$941$	−1.88216	−	17.9075i	−0.0613566	−	0.583769i	−0.981403	−	0.191959i	$-0.938516\pi$
$941$	−1.88216	−	17.9075i	−0.0613566	−	0.583769i	0.920046	−	0.391810i	$-0.128151\pi$
$942$	3.25461	−	26.0045i	0.106041	−	0.847272i
$943$	−5.02586	+	1.06828i	−0.163664	+	0.0347880i
$944$	26.7122	+	19.4075i	0.869407	+	0.631661i
$945$	0.559776	+	2.14923i	0.0182095	+	0.0699143i
$946$	9.68901	−	19.3181i	0.315017	−	0.628084i
$947$	−14.3151	−	24.7946i	−0.465180	−	0.805715i	0.534030	−	0.845466i	$-0.320677\pi$
$947$	−14.3151	−	24.7946i	−0.465180	−	0.805715i	−0.999210	+	0.0397506i	$0.987344\pi$
$948$	4.77414	+	8.66040i	0.155057	+	0.281277i
$949$	−16.3172	−	18.1221i	−0.529679	−	0.588268i
$950$	17.6396	+	3.74942i	0.572306	+	0.121647i
$951$	−30.0398	−	34.7203i	−0.974107	−	1.12588i
$952$	−7.53647	−	3.35545i	−0.244259	−	0.108751i
$953$	5.15728	+	15.8725i	0.167061	+	0.514160i	0.999182	−	0.0404331i	$-0.0128738\pi$
$953$	5.15728	+	15.8725i	0.167061	+	0.514160i	−0.832121	+	0.554594i	$0.812874\pi$
$954$	20.7710	+	16.3849i	0.672486	+	0.530480i
$955$	2.48967	+	1.80885i	0.0805637	+	0.0585330i
$956$	1.43969	+	2.49361i	0.0465628	+	0.0806492i
$957$	27.9638	+	28.7256i	0.903942	+	0.928568i
$958$	−28.0414	+	48.5690i	−0.905975	+	1.56919i
$959$	6.09842	−	2.71519i	0.196928	−	0.0876781i
$960$	1.75157	+	5.77736i	0.0565318	+	0.186463i
$961$	35.0121	−	38.8849i	1.12942	−	1.25435i
$962$	5.69677	−	4.13895i	0.183671	−	0.133445i
$963$	45.7763	+	11.6407i	1.47512	+	0.375115i
$964$	−1.06554	−	3.27939i	−0.0343187	−	0.105622i
$965$	−1.89251	+	0.402265i	−0.0609220	+	0.0129494i
$966$	4.45034	−	7.36759i	0.143187	−	0.237048i
$967$	−12.1597	+	21.0612i	−0.391029	+	0.677281i	−0.992585	−	0.121549i	$-0.961214\pi$
$967$	−12.1597	+	21.0612i	−0.391029	+	0.677281i	0.601557	+	0.798830i	$0.294547\pi$
$968$	23.8776	+	13.3843i	0.767454	+	0.430187i
$969$	18.0632	+	8.47443i	0.580275	+	0.272238i
$970$	−1.35681	+	12.9092i	−0.0435645	+	0.414488i
$971$	2.33367	−	7.18229i	0.0748910	−	0.230491i	−0.906603	−	0.421985i	$-0.861333\pi$
$971$	2.33367	−	7.18229i	0.0748910	−	0.230491i	0.981494	+	0.191495i	$0.0613334\pi$
$972$	4.50057	−	4.09966i	0.144356	−	0.131497i
$973$	−12.6225	+	9.17079i	−0.404659	+	0.294002i
$974$	−12.2672	−	5.46169i	−0.393065	−	0.175004i
$975$	−1.57512	+	12.5853i	−0.0504441	+	0.403051i
$976$	−14.1196	−	15.6814i	−0.451957	−	0.501949i
$977$	1.85659	−	0.826605i	0.0593974	−	0.0264454i	−0.376823	−	0.926285i	$-0.622983\pi$
$977$	1.85659	−	0.826605i	0.0593974	−	0.0264454i	0.436220	+	0.899840i	$0.356317\pi$
$978$	−1.05175	−	12.3537i	−0.0336313	−	0.395029i
$979$	−32.0019	+	26.2528i	−1.02278	+	0.839044i
$980$	−1.49797			−0.0478508
$981$	2.67490	+	41.0039i	0.0854029	+	1.30915i
$982$	−15.8611	+	48.8154i	−0.506148	+	1.55776i
$983$	22.3755	−	24.8505i	0.713666	−	0.792607i	−0.271822	−	0.962347i	$-0.587626\pi$
$983$	22.3755	−	24.8505i	0.713666	−	0.792607i	0.985489	+	0.169741i	$0.0542930\pi$
$984$	1.63048	−	4.69958i	0.0519779	−	0.149817i
$985$	1.39008	+	13.2257i	0.0442916	+	0.421407i
$986$	−48.4645	−	10.3015i	−1.54342	−	0.328065i
$987$	−0.0825581	−	0.272308i	−0.00262785	−	0.00866766i
$988$	0.161287	−	1.53455i	0.00513123	−	0.0488204i
$989$	18.7629			0.596624
$990$	6.22265	+	6.65053i	0.197769	+	0.211368i
$991$	40.1009			1.27385			0.636923	−	0.770927i	$-0.280207\pi$
$991$	40.1009			1.27385			0.636923	+	0.770927i	$0.280207\pi$
$992$	−2.07958	+	19.7859i	−0.0660267	+	0.628202i
$993$	−13.6693	−	3.18945i	−0.433783	−	0.101214i
$994$	13.4399	+	2.85674i	0.426288	+	0.0906104i
$995$	1.28899	+	12.2640i	0.0408638	+	0.388793i
$996$	4.61890	−	0.886635i	0.146356	−	0.0280941i
$997$	10.7931	−	11.9870i	0.341822	−	0.379632i	−0.547583	−	0.836751i	$-0.684452\pi$
$997$	10.7931	−	11.9870i	0.341822	−	0.379632i	0.889405	+	0.457119i	$0.151119\pi$
$998$	9.97461	−	30.6987i	0.315741	−	0.971750i
$999$	5.48287	−	13.9896i	0.173470	−	0.442612i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.4.2	✓	72
3.2	odd	2		297.2.n.b.37.8		72
9.2	odd	6		297.2.n.b.235.2		72
9.4	even	3		891.2.f.f.730.2		36
9.5	odd	6		891.2.f.e.730.8		36
9.7	even	3	inner	99.2.m.b.70.8	yes	72
11.3	even	5	inner	99.2.m.b.58.8	yes	72
11.5	even	5		1089.2.e.p.364.4		36
11.6	odd	10		1089.2.e.o.364.15		36
33.14	odd	10		297.2.n.b.91.2		72
99.5	odd	30		9801.2.a.cp.1.4		18
99.14	odd	30		891.2.f.e.487.8		36
99.16	even	15		1089.2.e.p.727.4		36
99.25	even	15	inner	99.2.m.b.25.2	yes	72
99.47	odd	30		297.2.n.b.289.8		72
99.49	even	15		9801.2.a.cm.1.15		18
99.50	even	30		9801.2.a.cn.1.15		18
99.58	even	15		891.2.f.f.487.2		36
99.61	odd	30		1089.2.e.o.727.15		36
99.94	odd	30		9801.2.a.co.1.4		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.2	✓	72	1.1	even	1	trivial
99.2.m.b.25.2	yes	72	99.25	even	15	inner
99.2.m.b.58.8	yes	72	11.3	even	5	inner
99.2.m.b.70.8	yes	72	9.7	even	3	inner
297.2.n.b.37.8		72	3.2	odd	2
297.2.n.b.91.2		72	33.14	odd	10
297.2.n.b.235.2		72	9.2	odd	6
297.2.n.b.289.8		72	99.47	odd	30
891.2.f.e.487.8		36	99.14	odd	30
891.2.f.e.730.8		36	9.5	odd	6
891.2.f.f.487.2		36	99.58	even	15
891.2.f.f.730.2		36	9.4	even	3
1089.2.e.o.364.15		36	11.6	odd	10
1089.2.e.o.727.15		36	99.61	odd	30
1089.2.e.p.364.4		36	11.5	even	5
1089.2.e.p.727.4		36	99.16	even	15
9801.2.a.cm.1.15		18	99.49	even	15
9801.2.a.cn.1.15		18	99.50	even	30
9801.2.a.co.1.4		18	99.94	odd	30
9801.2.a.cp.1.4		18	99.5	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+(-0.161615 + 1.53767i) q^{2} +(1.18421 - 1.26398i) q^{3} +(-0.382004 - 0.0811974i) q^{4} +(-0.0618842 - 0.588789i) q^{5} +(1.75219 + 2.02520i) q^{6} +(0.483079 - 0.536514i) q^{7} +(-0.768973 + 2.36665i) q^{8} +(-0.195290 - 2.99364i) q^{9} +0.915362 q^{10} +(-2.56419 + 2.10355i) q^{11} +(-0.555005 + 0.386690i) q^{12} +(-1.43880 + 0.640596i) q^{13} +(0.746906 + 0.829524i) q^{14} +(-0.817501 - 0.619030i) q^{15} +(-4.22840 - 1.88260i) q^{16} +(-3.71501 + 2.69911i) q^{17} +(4.63478 + 0.183526i) q^{18} +(0.775200 - 2.38582i) q^{19} +(-0.0241681 + 0.229944i) q^{20} +(-0.106075 - 1.24595i) q^{21} +(-2.82014 - 4.28284i) q^{22} +(2.22600 - 3.85554i) q^{23} +(2.08078 + 3.77458i) q^{24} +(4.54790 - 0.966685i) q^{25} +(-0.752490 - 2.31593i) q^{26} +(-4.01516 - 3.29825i) q^{27} +(-0.228102 + 0.165726i) q^{28} +(4.66961 - 5.18613i) q^{29} +(1.08398 - 1.15700i) q^{30} +(-8.33906 + 3.71279i) q^{31} +(1.08974 - 1.88749i) q^{32} +(-0.377707 + 5.73213i) q^{33} +(-3.54993 - 6.14866i) q^{34} +(-0.345788 - 0.251230i) q^{35} +(-0.168474 + 1.15944i) q^{36} +(0.893583 + 2.75017i) q^{37} +(3.54331 + 1.57758i) q^{38} +(-0.894144 + 2.57722i) q^{39} +(1.44105 + 0.306304i) q^{40} +(-0.772257 - 0.857678i) q^{41} +(1.93300 + 0.0382560i) q^{42} +(2.10724 + 3.64985i) q^{43} +(1.15033 - 0.595357i) q^{44} +(-1.75053 + 0.300244i) q^{45} +(5.56879 + 4.04596i) q^{46} +(0.222583 - 0.0473114i) q^{47} +(-7.38688 + 3.11521i) q^{48} +(0.677218 + 6.44330i) q^{49} +(0.751430 + 7.14938i) q^{50} +(-0.987730 + 7.89201i) q^{51} +(0.601643 - 0.127883i) q^{52} +(4.61430 + 3.35249i) q^{53} +(5.72053 - 5.64093i) q^{54} +(1.39723 + 1.37959i) q^{55} +(0.898268 + 1.55585i) q^{56} +(-2.09763 - 3.80515i) q^{57} +(7.21985 + 8.01846i) q^{58} +(-6.97767 - 1.48315i) q^{59} +(0.262025 + 0.302851i) q^{60} +(4.16481 + 1.85429i) q^{61} +(-4.36131 - 13.4227i) q^{62} +(-1.70047 - 1.34139i) q^{63} +(-4.76295 - 3.46049i) q^{64} +(0.466215 + 0.807507i) q^{65} +(-8.75306 - 1.50719i) q^{66} +(4.04571 - 7.00738i) q^{67} +(1.63831 - 0.729422i) q^{68} +(-2.23728 - 7.37940i) q^{69} +(0.442192 - 0.491104i) q^{70} +(9.95852 - 7.23528i) q^{71} +(7.23508 + 1.83984i) q^{72} +(4.78461 + 14.7255i) q^{73} +(-4.37326 + 0.929564i) q^{74} +(4.16380 - 6.89321i) q^{75} +(-0.489852 + 0.848448i) q^{76} +(-0.110128 + 2.39191i) q^{77} +(-3.81839 - 1.79141i) q^{78} +(1.52816 - 14.5395i) q^{79} +(-0.846785 + 2.60614i) q^{80} +(-8.92372 + 1.16926i) q^{81} +(1.44363 - 1.04886i) q^{82} +(-6.35188 - 2.82804i) q^{83} +(-0.0606466 + 0.484570i) q^{84} +(1.81911 + 2.02032i) q^{85} +(-5.95281 + 2.65036i) q^{86} +(-1.02536 - 12.0438i) q^{87} +(-3.00657 - 7.68613i) q^{88} +12.4803 q^{89} +(-0.178761 - 2.74026i) q^{90} +(-0.351367 + 1.08140i) q^{91} +(-1.16340 + 1.29209i) q^{92} +(-5.18232 + 14.9371i) q^{93} +(0.0367764 + 0.349904i) q^{94} +(-1.45272 - 0.308785i) q^{95} +(-1.09526 - 3.61260i) q^{96} +(-1.48226 + 14.1028i) q^{97} -10.0171 q^{98} +(6.79802 + 7.26547i) 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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