LMFDB - Embedded newform 99.2.m.b.16.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(4,99)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 6]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("99.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			16.6
Character	$\chi$	$=$	99.16
Dual form			99.2.m.b.31.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.42554 + 0.303007i) q^{2} +(-1.06518 - 1.36579i) q^{3} +(0.113254 + 0.0504238i) q^{4} +(2.94034 - 0.624989i) q^{5} +(-1.10462 - 2.26974i) q^{6} +(0.172491 + 1.64114i) q^{7} +(-2.21193 - 1.60706i) q^{8} +(-0.730763 + 2.90964i) q^{9} +4.38094 q^{10} +(-2.28613 + 2.40283i) q^{11} +(-0.0517678 - 0.208391i) q^{12} +(1.69179 - 1.87893i) q^{13} +(-0.251386 + 2.39177i) q^{14} +(-3.98561 - 3.35016i) q^{15} +(-2.83214 - 3.14542i) q^{16} +(-2.31051 + 7.11103i) q^{17} +(-1.92337 + 3.92637i) q^{18} +(-1.84333 - 1.33926i) q^{19} +(0.364519 + 0.0774808i) q^{20} +(2.05772 - 1.98370i) q^{21} +(-3.98704 + 2.73261i) q^{22} +(-0.565961 - 0.980273i) q^{23} +(0.161206 + 4.73285i) q^{24} +(3.68727 - 1.64168i) q^{25} +(2.98104 - 2.16585i) q^{26} +(4.75235 - 2.10123i) q^{27} +(-0.0632173 + 0.194563i) q^{28} +(-0.415693 - 3.95505i) q^{29} +(-4.66651 - 5.98345i) q^{30} +(3.62293 - 4.02368i) q^{31} +(-0.350149 - 0.606476i) q^{32} +(5.71692 + 0.562919i) q^{33} +(-5.44842 + 9.43693i) q^{34} +(1.53288 + 4.71771i) q^{35} +(-0.229476 + 0.292679i) q^{36} +(7.55700 - 5.49048i) q^{37} +(-2.22193 - 2.46771i) q^{38} +(-4.36829 - 0.309230i) q^{39} +(-7.50823 - 3.34288i) q^{40} +(0.0464493 - 0.441935i) q^{41} +(3.53443 - 2.20434i) q^{42} +(-2.09073 + 3.62126i) q^{43} +(-0.380073 + 0.156854i) q^{44} +(-0.330203 + 9.01204i) q^{45} +(-0.509769 - 1.56891i) q^{46} +(-9.59469 + 4.27183i) q^{47} +(-1.27922 + 7.21856i) q^{48} +(4.18344 - 0.889218i) q^{49} +(5.75378 - 1.22300i) q^{50} +(12.1733 - 4.41888i) q^{51} +(0.286344 - 0.127489i) q^{52} +(-0.462733 - 1.42415i) q^{53} +(7.41134 - 1.55539i) q^{54} +(-5.22027 + 8.49395i) q^{55} +(2.25588 - 3.90729i) q^{56} +(0.134342 + 3.94416i) q^{57} +(0.605824 - 5.76403i) q^{58} +(-2.97056 - 1.32258i) q^{59} +(-0.282457 - 0.580387i) q^{60} +(-2.12931 - 2.36484i) q^{61} +(6.38383 - 4.63813i) q^{62} +(-4.90117 - 0.697400i) q^{63} +(2.30049 + 7.08018i) q^{64} +(3.80014 - 6.58204i) q^{65} +(7.97911 + 2.53473i) q^{66} +(-5.47962 - 9.49097i) q^{67} +(-0.620239 + 0.688845i) q^{68} +(-0.735994 + 1.81716i) q^{69} +(0.755673 + 7.18975i) q^{70} +(2.45945 - 7.56942i) q^{71} +(6.29236 - 5.26153i) q^{72} +(-4.74289 + 3.44591i) q^{73} +(12.4364 - 5.53706i) q^{74} +(-6.16981 - 3.28734i) q^{75} +(-0.141233 - 0.244623i) q^{76} +(-4.33772 - 3.33740i) q^{77} +(-6.13346 - 1.76444i) q^{78} +(5.23298 + 1.11231i) q^{79} +(-10.2933 - 7.47854i) q^{80} +(-7.93197 - 4.25251i) q^{81} +(0.200125 - 0.615921i) q^{82} +(7.42523 + 8.24656i) q^{83} +(0.333070 - 0.120904i) q^{84} +(-2.34938 + 22.3529i) q^{85} +(-4.07769 + 4.52873i) q^{86} +(-4.95898 + 4.78061i) q^{87} +(8.91826 - 1.64094i) q^{88} -0.534573 q^{89} +(-3.20143 + 12.7470i) q^{90} +(3.37540 + 2.45237i) q^{91} +(-0.0146681 - 0.139557i) q^{92} +(-9.35459 - 0.662208i) q^{93} +(-14.9720 + 3.18239i) q^{94} +(-6.25704 - 2.78581i) q^{95} +(-0.455346 + 1.12424i) q^{96} +(-11.1602 - 2.37218i) q^{97} +6.23309 q^{98} +(-5.32074 - 8.40772i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	1.42554	+	0.303007i	1.00801	+	0.214259i	0.682191	−	0.731174i	$-0.261027\pi$
$2$	1.42554	+	0.303007i	1.00801	+	0.214259i	0.325817	+	0.945433i	$0.394361\pi$
$3$	−1.06518	−	1.36579i	−0.614985	−	0.788539i
$3$	−1.06518	−	1.36579i	−0.614985	−	0.788539i
$4$	0.113254	+	0.0504238i	0.0566268	+	0.0252119i
$5$	2.94034	−	0.624989i	1.31496	−	0.279504i	0.503543	−	0.863970i	$-0.332030\pi$
$5$	2.94034	−	0.624989i	1.31496	−	0.279504i	0.811418	+	0.584467i	$0.198696\pi$
$6$	−1.10462	−	2.26974i	−0.450958	−	0.926619i
$7$	0.172491	+	1.64114i	0.0651954	+	0.620293i	0.977523	+	0.210831i	$0.0676170\pi$
$7$	0.172491	+	1.64114i	0.0651954	+	0.620293i	−0.912327	+	0.409462i	$0.865716\pi$
$8$	−2.21193	−	1.60706i	−0.782035	−	0.568182i
$9$	−0.730763	+	2.90964i	−0.243588	+	0.969879i
$10$	4.38094			1.38538
$11$	−2.28613	+	2.40283i	−0.689295	+	0.724481i
$11$	−2.28613	+	2.40283i	−0.689295	+	0.724481i
$12$	−0.0517678	−	0.208391i	−0.0149441	−	0.0601574i
$13$	1.69179	−	1.87893i	0.469219	−	0.521120i	−0.461359	−	0.887213i	$-0.652638\pi$
$13$	1.69179	−	1.87893i	0.469219	−	0.521120i	0.930578	+	0.366093i	$0.119305\pi$
$14$	−0.251386	+	2.39177i	−0.0671856	+	0.639229i
$15$	−3.98561	−	3.35016i	−1.02908	−	0.865007i
$16$	−2.83214	−	3.14542i	−0.708036	−	0.786354i
$17$	−2.31051	+	7.11103i	−0.560382	+	1.72468i	0.120909	+	0.992664i	$0.461419\pi$
$17$	−2.31051	+	7.11103i	−0.560382	+	1.72468i	−0.681290	+	0.732013i	$0.738581\pi$
$18$	−1.92337	+	3.92637i	−0.453343	+	0.925454i
$19$	−1.84333	−	1.33926i	−0.422889	−	0.307247i	0.355910	−	0.934520i	$-0.384171\pi$
$19$	−1.84333	−	1.33926i	−0.422889	−	0.307247i	−0.778799	+	0.627273i	$0.784171\pi$
$20$	0.364519	+	0.0774808i	0.0815088	+	0.0173252i
$21$	2.05772	−	1.98370i	0.449031	−	0.432880i
$22$	−3.98704	+	2.73261i	−0.850041	+	0.582595i
$23$	−0.565961	−	0.980273i	−0.118011	−	0.204401i	0.800968	−	0.598707i	$-0.204318\pi$
$23$	−0.565961	−	0.980273i	−0.118011	−	0.204401i	−0.918979	+	0.394306i	$0.870985\pi$
$24$	0.161206	+	4.73285i	0.0329061	+	0.966089i
$25$	3.68727	−	1.64168i	0.737454	−	0.328336i
$26$	2.98104	−	2.16585i	0.584631	−	0.424759i
$27$	4.75235	−	2.10123i	0.914590	−	0.404382i
$28$	−0.0632173	+	0.194563i	−0.0119469	+	0.0367689i
$29$	−0.415693	−	3.95505i	−0.0771922	−	0.734435i	−0.962839	−	0.270075i	$-0.912951\pi$
$29$	−0.415693	−	3.95505i	−0.0771922	−	0.734435i	0.885647	−	0.464359i	$-0.153715\pi$
$30$	−4.66651	−	5.98345i	−0.851985	−	1.09242i
$31$	3.62293	−	4.02368i	0.650698	−	0.722673i	−0.324035	−	0.946045i	$-0.605040\pi$
$31$	3.62293	−	4.02368i	0.650698	−	0.722673i	0.974733	+	0.223372i	$0.0717063\pi$
$32$	−0.350149	−	0.606476i	−0.0618982	−	0.107211i
$33$	5.71692	+	0.562919i	0.995187	+	0.0979916i
$34$	−5.44842	+	9.43693i	−0.934396	+	1.61842i
$35$	1.53288	+	4.71771i	0.259104	+	0.797439i
$36$	−0.229476	+	0.292679i	−0.0382461	+	0.0487798i
$37$	7.55700	−	5.49048i	1.24236	−	0.902629i	0.244609	−	0.969622i	$-0.421340\pi$
$37$	7.55700	−	5.49048i	1.24236	−	0.902629i	0.997753	+	0.0669925i	$0.0213403\pi$
$38$	−2.22193	−	2.46771i	−0.360445	−	0.400315i
$39$	−4.36829	−	0.309230i	−0.699486	−	0.0495164i
$40$	−7.50823	−	3.34288i	−1.18715	−	0.528555i
$41$	0.0464493	−	0.441935i	0.00725416	−	0.0690187i	−0.990296	−	0.138975i	$-0.955619\pi$
$41$	0.0464493	−	0.441935i	0.00725416	−	0.0690187i	0.997550	+	0.0699562i	$0.0222859\pi$
$42$	3.53443	−	2.20434i	0.545375	−	0.340137i
$43$	−2.09073	+	3.62126i	−0.318834	+	0.552237i	−0.980245	−	0.197787i	$-0.936625\pi$
$43$	−2.09073	+	3.62126i	−0.318834	+	0.552237i	0.661411	+	0.750024i	$0.269958\pi$
$44$	−0.380073	+	0.156854i	−0.0572981	+	0.0236466i
$45$	−0.330203	+	9.01204i	−0.0492238	+	1.34344i
$46$	−0.509769	−	1.56891i	−0.0751613	−	0.231323i
$47$	−9.59469	+	4.27183i	−1.39953	+	0.623110i	−0.961237	−	0.275722i	$-0.911083\pi$
$47$	−9.59469	+	4.27183i	−1.39953	+	0.623110i	−0.438292	+	0.898833i	$0.644416\pi$
$48$	−1.27922	+	7.21856i	−0.184639	+	1.04191i
$49$	4.18344	−	0.889218i	0.597635	−	0.127031i
$50$	5.75378	−	1.22300i	0.813708	−	0.172959i
$51$	12.1733	−	4.41888i	1.70460	−	0.618767i
$52$	0.286344	−	0.127489i	0.0397088	−	0.0176795i
$53$	−0.462733	−	1.42415i	−0.0635613	−	0.195621i	0.914233	−	0.405189i	$-0.132794\pi$
$53$	−0.462733	−	1.42415i	−0.0635613	−	0.195621i	−0.977794	+	0.209568i	$0.932794\pi$
$54$	7.41134	−	1.55539i	1.00856	−	0.211661i
$55$	−5.22027	+	8.49395i	−0.703901	+	1.14532i
$56$	2.25588	−	3.90729i	0.301454	−	0.522134i
$57$	0.134342	+	3.94416i	0.0177941	+	0.522417i
$58$	0.605824	−	5.76403i	0.0795486	−	0.756855i
$59$	−2.97056	−	1.32258i	−0.386734	−	0.172185i	0.204154	−	0.978939i	$-0.434556\pi$
$59$	−2.97056	−	1.32258i	−0.386734	−	0.172185i	−0.590888	+	0.806754i	$0.701222\pi$
$60$	−0.282457	−	0.580387i	−0.0364651	−	0.0749277i
$61$	−2.12931	−	2.36484i	−0.272631	−	0.302787i	0.591245	−	0.806492i	$-0.298637\pi$
$61$	−2.12931	−	2.36484i	−0.272631	−	0.302787i	−0.863876	+	0.503705i	$0.831970\pi$
$62$	6.38383	−	4.63813i	0.810748	−	0.589043i
$63$	−4.90117	−	0.697400i	−0.617490	−	0.0878641i
$64$	2.30049	+	7.08018i	0.287561	+	0.885023i
$65$	3.80014	−	6.58204i	0.471349	−	0.816401i
$66$	7.97911	+	2.53473i	0.982161	+	0.312004i
$67$	−5.47962	−	9.49097i	−0.669442	−	1.15951i	−0.978060	−	0.208321i	$-0.933200\pi$
$67$	−5.47962	−	9.49097i	−0.669442	−	1.15951i	0.308619	−	0.951186i	$-0.400133\pi$
$68$	−0.620239	+	0.688845i	−0.0752150	+	0.0835347i
$69$	−0.735994	+	1.81716i	−0.0886033	+	0.218760i
$70$	0.755673	+	7.18975i	0.0903202	+	0.859339i
$71$	2.45945	−	7.56942i	0.291884	−	0.898325i	−0.692367	−	0.721546i	$-0.743432\pi$
$71$	2.45945	−	7.56942i	0.291884	−	0.898325i	0.984250	−	0.176780i	$-0.0565680\pi$
$72$	6.29236	−	5.26153i	0.741562	−	0.620077i
$73$	−4.74289	+	3.44591i	−0.555113	+	0.403314i	−0.829667	−	0.558258i	$-0.811470\pi$
$73$	−4.74289	+	3.44591i	−0.555113	+	0.403314i	0.274554	+	0.961572i	$0.411470\pi$
$74$	12.4364	−	5.53706i	1.44571	−	0.643670i
$75$	−6.16981	−	3.28734i	−0.712428	−	0.379590i
$76$	−0.141233	−	0.244623i	−0.0162006	−	0.0280602i
$77$	−4.33772	−	3.33740i	−0.494329	−	0.380332i
$78$	−6.13346	−	1.76444i	−0.694478	−	0.199784i
$79$	5.23298	+	1.11231i	0.588757	+	0.125144i	0.492651	−	0.870227i	$-0.336028\pi$
$79$	5.23298	+	1.11231i	0.588757	+	0.125144i	0.0961058	+	0.995371i	$0.469361\pi$
$80$	−10.2933	−	7.47854i	−1.15083	−	0.836126i
$81$	−7.93197	−	4.25251i	−0.881330	−	0.472501i
$82$	0.200125	−	0.615921i	0.0221001	−	0.0680171i
$83$	7.42523	+	8.24656i	0.815025	+	0.905177i	0.996943	−	0.0781365i	$-0.0248970\pi$
$83$	7.42523	+	8.24656i	0.815025	+	0.905177i	−0.181917	+	0.983314i	$0.558230\pi$
$84$	0.333070	−	0.120904i	0.0363409	−	0.0131917i
$85$	−2.34938	+	22.3529i	−0.254826	+	2.42451i
$86$	−4.07769	+	4.52873i	−0.439708	+	0.488346i
$87$	−4.95898	+	4.78061i	−0.531658	+	0.512535i
$88$	8.91826	−	1.64094i	0.950690	−	0.174925i
$89$	−0.534573			−0.0566646			−0.0283323	−	0.999599i	$-0.509020\pi$
$89$	−0.534573			−0.0566646			−0.0283323	+	0.999599i	$0.509020\pi$
$90$	−3.20143	+	12.7470i	−0.337461	+	1.34365i
$91$	3.37540	+	2.45237i	0.353838	+	0.257079i
$92$	−0.0146681	−	0.139557i	−0.00152925	−	0.0145499i
$93$	−9.35459	−	0.662208i	−0.970026	−	0.0686678i
$94$	−14.9720	+	3.18239i	−1.54424	+	0.328239i
$95$	−6.25704	−	2.78581i	−0.641959	−	0.285819i
$96$	−0.455346	+	1.12424i	−0.0464735	+	0.114742i
$97$	−11.1602	−	2.37218i	−1.13315	−	0.240859i	−0.397094	−	0.917778i	$-0.629981\pi$
$97$	−11.1602	−	2.37218i	−1.13315	−	0.240859i	−0.736057	+	0.676919i	$0.763315\pi$
$98$	6.23309			0.629638
$99$	−5.32074	−	8.40772i	−0.534755	−	0.845007i
$100$	0.500376			0.0500376
$101$	6.72632	+	1.42972i	0.669294	+	0.142263i	0.530012	−	0.847990i	$-0.322187\pi$
$101$	6.72632	+	1.42972i	0.669294	+	0.142263i	0.139281	+	0.990253i	$0.455521\pi$
$102$	18.6924	−	2.61069i	1.85083	−	0.258496i
$103$	7.90123	+	3.51785i	0.778531	+	0.346625i	0.757230	−	0.653149i	$-0.226552\pi$
$103$	7.90123	+	3.51785i	0.778531	+	0.346625i	0.0213017	+	0.999773i	$0.493219\pi$
$104$	−6.76168	+	1.43724i	−0.663037	+	0.140933i
$105$	4.81060	−	7.11882i	0.469467	−	0.694726i
$106$	−0.228117	−	2.17039i	−0.0221567	−	0.210806i
$107$	5.38543	+	3.91275i	0.520629	+	0.378259i	0.816841	−	0.576863i	$-0.195723\pi$
$107$	5.38543	+	3.91275i	0.520629	+	0.378259i	−0.296212	+	0.955122i	$0.595723\pi$
$108$	0.644173	+	0.00165931i	0.0619856	+	0.000159667i
$109$	−9.24522			−0.885531			−0.442766	−	0.896637i	$-0.646003\pi$
$109$	−9.24522			−0.885531			−0.442766	+	0.896637i	$0.646003\pi$
$110$	−10.0154	+	10.5267i	−0.954933	+	1.00368i
$111$	−15.5484	−	4.47289i	−1.47579	−	0.424548i
$112$	4.67355	−	5.19051i	0.441609	−	0.490457i
$113$	−0.940846	+	8.95155i	−0.0885073	+	0.842091i	0.856743	+	0.515744i	$0.172484\pi$
$113$	−0.940846	+	8.95155i	−0.0885073	+	0.842091i	−0.945250	+	0.326347i	$0.894182\pi$
$114$	−1.00360	+	5.66325i	−0.0939957	+	0.530412i
$115$	−2.27678	−	2.52862i	−0.212311	−	0.235795i
$116$	0.152350	−	0.468885i	0.0141453	−	0.0435348i
$117$	4.23069	+	6.29555i	0.391128	+	0.582024i
$118$	−3.83390	−	2.78549i	−0.352939	−	0.256425i
$119$	−12.0687	−	2.56529i	−1.10634	−	0.235160i
$120$	3.43198	+	13.8154i	0.313295	+	1.26117i
$121$	−0.547191	−	10.9864i	−0.0497447	−	0.998762i
$122$	−2.31885	−	4.01637i	−0.209939	−	0.363625i
$123$	−0.653068	+	0.407303i	−0.0588851	+	0.0367252i
$124$	0.613199	−	0.273014i	0.0550669	−	0.0245174i
$125$	−2.34385	+	1.70291i	−0.209640	+	0.152313i
$126$	−6.77549	−	2.47926i	−0.603609	−	0.220870i
$127$	2.52052	−	7.75737i	0.223660	−	0.688355i	−0.774765	−	0.632250i	$-0.782132\pi$
$127$	2.52052	−	7.75737i	0.223660	−	0.688355i	0.998425	−	0.0561054i	$-0.0178683\pi$
$128$	1.28049	+	12.1831i	0.113180	+	1.07684i
$129$	7.17290	−	1.00180i	0.631538	−	0.0882040i
$130$	7.41165	−	8.23147i	0.650045	−	0.721948i
$131$	1.30043	+	2.25241i	0.113619	+	0.196794i	0.917227	−	0.398365i	$-0.130422\pi$
$131$	1.30043	+	2.25241i	0.113619	+	0.196794i	−0.803608	+	0.595159i	$0.797089\pi$
$132$	0.619077	+	0.352021i	0.0538837	+	0.0306395i
$133$	1.87995	−	3.25618i	0.163013	−	0.282346i
$134$	−4.93556	−	15.1901i	−0.426368	−	1.31223i
$135$	12.6603	−	9.14850i	1.08962	−	0.787378i
$136$	16.5385	−	12.0160i	1.41817	−	1.03036i
$137$	7.47435	+	8.30111i	0.638577	+	0.709211i	0.972373	−	0.233434i	$-0.0749963\pi$
$137$	7.47435	+	8.30111i	0.638577	+	0.709211i	−0.333796	+	0.942645i	$0.608330\pi$
$138$	−1.59980	+	2.36741i	−0.136184	+	0.201528i
$139$	18.2414	+	8.12158i	1.54721	+	0.688863i	0.989943	−	0.141469i	$-0.0451824\pi$
$139$	18.2414	+	8.12158i	1.54721	+	0.688863i	0.557269	+	0.830332i	$0.311849\pi$
$140$	−0.0642808	+	0.611591i	−0.00543272	+	0.0516889i
$141$	16.0545	+	8.55404i	1.35204	+	0.720380i
$142$	5.79964	−	10.0453i	0.486695	−	0.842980i
$143$	0.647078	+	8.36057i	0.0541114	+	0.699146i
$144$	11.2216	−	5.94196i	0.935137	−	0.495163i
$145$	−3.69414	−	11.3694i	−0.306782	−	0.944177i
$146$	−7.80531	+	3.47515i	−0.645972	+	0.287605i
$147$	−5.67062	−	4.76652i	−0.467705	−	0.393136i
$148$	1.13271	−	0.240764i	0.0931080	−	0.0197907i
$149$	17.7739	−	3.77796i	1.45609	−	0.309502i	0.589197	−	0.807990i	$-0.299444\pi$
$149$	17.7739	−	3.77796i	1.45609	−	0.309502i	0.866897	+	0.498488i	$0.166111\pi$
$150$	−7.79921	−	6.55573i	−0.636803	−	0.535273i
$151$	5.68181	−	2.52970i	0.462379	−	0.205864i	−0.162307	−	0.986740i	$-0.551894\pi$
$151$	5.68181	−	2.52970i	0.462379	−	0.205864i	0.624686	+	0.780876i	$0.285227\pi$
$152$	1.92505	+	5.92469i	0.156142	+	0.480556i
$153$	−19.0021	−	11.9192i	−1.53623	−	0.963612i
$154$	−5.17233	−	6.07195i	−0.416798	−	0.489292i
$155$	8.13791	−	14.0953i	0.653653	−	1.13216i
$156$	−0.479132	−	0.255287i	−0.0383613	−	0.0204393i
$157$	−0.721147	+	6.86126i	−0.0575538	+	0.547588i	0.927314	+	0.374283i	$0.122111\pi$
$157$	−0.721147	+	6.86126i	−0.0575538	+	0.547588i	−0.984868	+	0.173305i	$0.944555\pi$
$158$	7.12278	+	3.17127i	0.566658	+	0.252292i
$159$	−1.45219	+	2.14897i	−0.115166	+	0.170425i
$160$	−1.40860	−	1.56441i	−0.111360	−	0.123677i
$161$	1.51114	−	1.09791i	0.119095	−	0.0865275i
$162$	−10.0188	−	8.46556i	−0.787150	−	0.665117i
$163$	2.36983	+	7.29358i	0.185619	+	0.571277i	0.999958	−	0.00911189i	$-0.00290044\pi$
$163$	2.36983	+	7.29358i	0.185619	+	0.571277i	−0.814339	+	0.580389i	$0.802900\pi$
$164$	0.0275446	−	0.0477086i	0.00215087	−	0.00372542i
$165$	17.1615	−	1.91784i	1.33602	−	0.149303i
$166$	8.08618	+	14.0057i	0.627610	+	1.08705i
$167$	−12.8061	+	14.2226i	−0.990966	+	1.10058i	0.00396235	+	0.999992i	$0.498739\pi$
$167$	−12.8061	+	14.2226i	−0.990966	+	1.10058i	−0.994928	+	0.100587i	$0.967928\pi$
$168$	−7.73947	+	1.08094i	−0.597113	+	0.0833960i
$169$	0.690669	+	6.57128i	0.0531284	+	0.505483i
$170$	−10.1222	+	31.1530i	−0.776339	+	2.38933i
$171$	5.24379	−	4.38474i	0.401003	−	0.335310i
$172$	−0.419381	+	0.304698i	−0.0319775	+	0.0232330i
$173$	−9.98885	+	4.44732i	−0.759439	+	0.338124i	−0.749655	−	0.661828i	$-0.769781\pi$
$173$	−9.98885	+	4.44732i	−0.759439	+	0.338124i	−0.00978311	+	0.999952i	$0.503114\pi$
$174$	−8.51777	+	5.31233i	−0.645731	+	0.402727i
$175$	3.33025	+	5.76815i	0.251743	+	0.436032i
$176$	14.0326	+	0.385674i	1.05774	+	0.0290712i
$177$	1.35783	+	5.46596i	0.102061	+	0.410846i
$178$	−0.762054	−	0.161980i	−0.0571183	−	0.0121409i
$179$	−10.5923	−	7.69575i	−0.791705	−	0.575207i	0.116764	−	0.993160i	$-0.462748\pi$
$179$	−10.5923	−	7.69575i	−0.791705	−	0.575207i	−0.908469	+	0.417952i	$0.862748\pi$
$180$	−0.491818	+	1.00400i	−0.0366579	+	0.0748335i
$181$	−3.99379	+	12.2916i	−0.296856	+	0.913630i	0.685735	+	0.727851i	$0.259481\pi$
$181$	−3.99379	+	12.2916i	−0.296856	+	0.913630i	−0.982592	+	0.185779i	$0.940519\pi$
$182$	4.06868	+	4.51872i	0.301590	+	0.334950i
$183$	−0.961765	+	5.42719i	−0.0710957	+	0.401189i
$184$	−0.323493	+	3.07783i	−0.0238482	+	0.226901i
$185$	18.7887	−	20.8669i	1.38137	−	1.53417i
$186$	−13.1347	−	3.77851i	−0.963080	−	0.277054i
$187$	−11.8045	−	21.8085i	−0.863227	−	1.59480i
$188$	−1.30203			−0.0949607
$189$	4.26815	+	7.43683i	0.310463	+	0.540950i
$190$	−8.07553	−	5.86721i	−0.585860	−	0.425652i
$191$	−1.73042	−	16.4639i	−0.125209	−	1.19128i	−0.859024	−	0.511935i	$-0.828929\pi$
$191$	−1.73042	−	16.4639i	−0.125209	−	1.19128i	0.733815	−	0.679349i	$-0.237738\pi$
$192$	7.21959	−	10.6837i	0.521029	−	0.771029i
$193$	−20.0937	+	4.27104i	−1.44637	+	0.307436i	−0.863180	−	0.504896i	$-0.831531\pi$
$193$	−20.0937	+	4.27104i	−1.44637	+	0.307436i	−0.583194	+	0.812333i	$0.698197\pi$
$194$	−15.1906	−	6.76327i	−1.09062	−	0.485575i
$195$	−13.0375	+	1.82089i	−0.933637	+	0.130397i
$196$	0.518628	+	0.110238i	0.0370448	+	0.00787412i
$197$	3.34338			0.238206			0.119103	−	0.992882i	$-0.461998\pi$
$197$	3.34338			0.238206			0.119103	+	0.992882i	$0.461998\pi$
$198$	−5.03732	−	13.5977i	−0.357987	−	0.966349i
$199$	8.17995			0.579861			0.289931	−	0.957048i	$-0.406368\pi$
$199$	8.17995			0.579861			0.289931	+	0.957048i	$0.406368\pi$
$200$	−10.7943	−	2.29439i	−0.763269	−	0.162238i
$201$	−7.12587	+	17.5936i	−0.502620	+	1.24096i
$202$	9.15540	+	4.07625i	0.644172	+	0.286804i
$203$	6.41909	−	1.36442i	0.450532	−	0.0957636i
$204$	1.60149	+	0.113369i	0.112126	+	0.00793739i
$205$	−0.139628	−	1.32847i	−0.00975204	−	0.0927844i
$206$	10.1976	+	7.40897i	0.710498	+	0.516207i
$207$	3.26582	−	0.930393i	0.226990	−	0.0646668i
$208$	−10.7014			−0.742009
$209$	7.43211	−	1.36749i	0.514090	−	0.0945912i
$210$	9.01475	−	8.69050i	0.622077	−	0.599701i
$211$	−0.398552	+	0.442637i	−0.0274375	+	0.0304724i	−0.756707	−	0.653754i	$-0.773193\pi$
$211$	−0.398552	+	0.442637i	−0.0274375	+	0.0304724i	0.729270	+	0.684226i	$0.239860\pi$
$212$	0.0194046	−	0.184622i	0.00133271	−	0.0126799i
$213$	−12.9580	+	4.70373i	−0.887868	+	0.322295i
$214$	6.49155	+	7.20959i	0.443753	+	0.492838i
$215$	−3.88423	+	11.9544i	−0.264902	+	0.815285i
$216$	−13.8887	−	2.98954i	−0.945005	−	0.203412i
$217$	7.22834	+	5.25170i	0.490692	+	0.356509i
$218$	−13.1794	−	2.80137i	−0.892622	−	0.189733i
$219$	9.75845	+	2.80726i	0.659415	+	0.189697i
$220$	−1.01951	+	0.698745i	−0.0687354	+	0.0471094i
$221$	9.45218	+	16.3717i	0.635823	+	1.10128i
$222$	−20.8096	−	11.0876i	−1.39665	−	0.744149i
$223$	25.9457	−	11.5518i	1.73745	−	0.773562i	0.742888	−	0.669416i	$-0.233456\pi$
$223$	25.9457	−	11.5518i	1.73745	−	0.773562i	0.994562	−	0.104146i	$-0.0332110\pi$
$224$	0.934916	−	0.679256i	0.0624667	−	0.0453847i
$225$	2.08217	+	11.9283i	0.138811	+	0.795219i
$226$	−4.05360	+	12.4757i	−0.269641	+	0.829870i
$227$	1.03846	+	9.88030i	0.0689251	+	0.655779i	0.973378	+	0.229205i	$0.0736127\pi$
$227$	1.03846	+	9.88030i	0.0689251	+	0.655779i	−0.904453	+	0.426573i	$0.859721\pi$
$228$	−0.183665	+	0.453464i	−0.0121635	+	0.0300314i
$229$	6.70630	−	7.44810i	0.443165	−	0.492185i	−0.479633	−	0.877469i	$-0.659230\pi$
$229$	6.70630	−	7.44810i	0.443165	−	0.492185i	0.922798	+	0.385285i	$0.125897\pi$
$230$	−2.47944	−	4.29452i	−0.163490	−	0.283172i
$231$	0.0622868	+	9.47936i	0.00409817	+	0.623696i
$232$	−5.43653	+	9.41634i	−0.356925	+	0.618213i
$233$	−7.68768	−	23.6602i	−0.503636	−	1.55003i	−0.803051	−	0.595910i	$-0.796791\pi$
$233$	−7.68768	−	23.6602i	−0.503636	−	1.55003i	0.299415	−	0.954123i	$-0.403209\pi$
$234$	4.12341	+	10.2565i	0.269556	+	0.670487i
$235$	−25.5418	+	18.5572i	−1.66616	+	1.21054i
$236$	−0.269738	−	0.299574i	−0.0175584	−	0.0195006i
$237$	−4.05492	−	8.33197i	−0.263395	−	0.541219i
$238$	−16.4271	−	7.31383i	−1.06481	−	0.474085i
$239$	1.50770	−	14.3448i	0.0975250	−	0.927888i	−0.830913	−	0.556402i	$-0.812182\pi$
$239$	1.50770	−	14.3448i	0.0975250	−	0.927888i	0.928438	−	0.371487i	$-0.121152\pi$
$240$	0.750180	+	22.0245i	0.0484239	+	1.42168i
$241$	3.97121	−	6.87834i	0.255808	−	0.443073i	−0.709307	−	0.704900i	$-0.750992\pi$
$241$	3.97121	−	6.87834i	0.255808	−	0.443073i	0.965115	+	0.261827i	$0.0843251\pi$
$242$	2.54891	−	15.8273i	0.163850	−	1.01742i
$243$	2.64098	+	15.3631i	0.169419	+	0.985544i
$244$	−0.121908	−	0.375195i	−0.00780437	−	0.0240194i
$245$	11.7450	−	5.22921i	0.750360	−	0.334082i
$246$	−1.05439	+	0.382741i	−0.0672253	+	0.0244027i
$247$	−5.63490	+	1.19774i	−0.358540	+	0.0762101i
$248$	−14.4800	+	3.07781i	−0.919479	+	0.195441i
$249$	3.35382	−	18.9254i	0.212540	−	1.19935i
$250$	−3.85724	+	1.71735i	−0.243953	+	0.108615i
$251$	3.49025	+	10.7419i	0.220302	+	0.678021i	0.998735	+	0.0502924i	$0.0160153\pi$
$251$	3.49025	+	10.7419i	0.220302	+	0.678021i	−0.778432	+	0.627729i	$0.783985\pi$
$252$	−0.519910	−	0.326119i	−0.0327513	−	0.0205435i
$253$	3.64929	+	0.881127i	0.229429	+	0.0553960i
$254$	5.94364	−	10.2947i	0.372937	−	0.645946i
$255$	33.0319	−	20.6012i	2.06854	−	1.29010i
$256$	−0.309835	+	2.94788i	−0.0193647	+	0.184243i
$257$	−20.2502	−	9.01598i	−1.26317	−	0.562402i	−0.337715	−	0.941248i	$-0.609654\pi$
$257$	−20.2502	−	9.01598i	−1.26317	−	0.562402i	−0.925459	+	0.378847i	$0.876321\pi$
$258$	10.5288	+	0.745330i	0.655494	+	0.0464022i
$259$	10.3142	+	11.4550i	0.640891	+	0.711782i
$260$	0.762271	−	0.553822i	0.0472740	−	0.0343466i
$261$	11.8115	+	1.68069i	0.731116	+	0.104032i
$262$	1.17132	+	3.60494i	0.0723641	+	0.222714i
$263$	−9.01263	+	15.6103i	−0.555742	+	0.962574i	0.442103	+	0.896964i	$0.354233\pi$
$263$	−9.01263	+	15.6103i	−0.555742	+	0.962574i	−0.997845	+	0.0656097i	$0.979101\pi$
$264$	−11.7408	−	10.4326i	−0.722595	−	0.642080i
$265$	−2.25067	−	3.89827i	−0.138257	−	0.239469i
$266$	3.66659	−	4.07216i	0.224813	−	0.249680i
$267$	0.569419	+	0.730114i	0.0348479	+	0.0446823i
$268$	−0.142016	−	1.35119i	−0.00867500	−	0.0825371i
$269$	7.58308	−	23.3383i	0.462348	−	1.42296i	−0.399939	−	0.916542i	$-0.630969\pi$
$269$	7.58308	−	23.3383i	0.462348	−	1.42296i	0.862287	−	0.506420i	$-0.169031\pi$
$270$	20.8198	−	9.20538i	1.26705	−	0.560221i
$271$	−1.63213	+	1.18581i	−0.0991448	+	0.0720329i	−0.636253	−	0.771480i	$-0.719517\pi$
$271$	−1.63213	+	1.18581i	−0.0991448	+	0.0720329i	0.537108	+	0.843513i	$0.319517\pi$
$272$	28.9108	−	12.8719i	1.75298	−	0.780476i
$273$	−0.246000	−	7.22232i	−0.0148886	−	0.437115i
$274$	8.13967	+	14.0983i	0.491736	+	0.851711i
$275$	−4.48491	+	12.6130i	−0.270450	+	0.760591i
$276$	−0.174982	+	0.168688i	−0.0105327	+	0.0101538i
$277$	−17.9967	−	3.82532i	−1.08132	−	0.229841i	−0.367394	−	0.930065i	$-0.619750\pi$
$277$	−17.9967	−	3.82532i	−1.08132	−	0.229841i	−0.713923	+	0.700224i	$0.753083\pi$
$278$	23.5429	+	17.1049i	1.41201	+	1.02588i
$279$	9.05993	+	13.4818i	0.542404	+	0.807133i
$280$	4.19103	−	12.8987i	0.250462	−	0.770843i
$281$	−11.6106	−	12.8949i	−0.692632	−	0.769245i	0.289553	−	0.957162i	$-0.406493\pi$
$281$	−11.6106	−	12.8949i	−0.692632	−	0.769245i	−0.982185	+	0.187916i	$0.939827\pi$
$282$	20.2944	+	17.0587i	1.20851	+	1.01583i
$283$	−0.125069	+	1.18995i	−0.00743455	+	0.0707351i	−0.997610	−	0.0690948i	$-0.977989\pi$
$283$	−0.125069	+	1.18995i	−0.00743455	+	0.0707351i	0.990176	+	0.139830i	$0.0446556\pi$
$284$	0.660221	−	0.733250i	0.0391769	−	0.0435104i
$285$	2.86007	+	11.5132i	0.169416	+	0.681984i
$286$	−1.61088	+	12.1144i	−0.0952533	+	0.716338i
$287$	0.733290			0.0432848
$288$	2.02050	−	0.575616i	0.119059	−	0.0339185i
$289$	−31.4749	−	22.8679i	−1.85147	−	1.34517i
$290$	−1.82113	−	17.3269i	−0.106940	−	1.01747i
$291$	8.64782	+	17.7694i	0.506944	+	1.04166i
$292$	−0.710905	+	0.151108i	−0.0416026	+	0.00884290i
$293$	12.7130	+	5.66019i	0.742701	+	0.330672i	0.742967	−	0.669328i	$-0.233418\pi$
$293$	12.7130	+	5.66019i	0.742701	+	0.330672i	−0.000265656		1.00000i	$0.500085\pi$
$294$	−6.63940	−	8.51310i	−0.387217	−	0.496494i
$295$	−9.56107	−	2.03227i	−0.556667	−	0.118323i
$296$	−25.5391			−1.48443
$297$	−5.81560	+	16.2228i	−0.337455	+	0.941342i
$298$	26.4821			1.53407
$299$	−2.79935	−	0.595020i	−0.161891	−	0.0344109i
$300$	−0.532993	−	0.683409i	−0.0307724	−	0.0394566i
$301$	−6.30363	−	2.80656i	−0.363335	−	0.161767i
$302$	8.86615	−	1.88456i	0.510190	−	0.108444i
$303$	−5.21207	−	10.7097i	−0.299426	−	0.615253i
$304$	1.00806	+	9.59101i	0.0578160	+	0.550082i
$305$	−7.73891	−	5.62265i	−0.443129	−	0.321952i
$306$	−23.4765	−	22.7491i	−1.34206	−	1.30048i
$307$	−11.5111			−0.656973			−0.328486	−	0.944509i	$-0.606539\pi$
$307$	−11.5111			−0.656973			−0.328486	+	0.944509i	$0.606539\pi$
$308$	−0.322978	−	0.596697i	−0.0184034	−	0.0340000i
$309$	−3.61162	−	14.5386i	−0.205458	−	0.827071i
$310$	15.8719	−	17.6275i	0.901462	−	1.00117i
$311$	−0.738019	+	7.02179i	−0.0418492	+	0.398169i	0.953467	+	0.301497i	$0.0974864\pi$
$311$	−0.738019	+	7.02179i	−0.0418492	+	0.398169i	−0.995316	+	0.0966718i	$0.969180\pi$
$312$	9.16540	+	7.70411i	0.518889	+	0.436159i
$313$	4.43761	+	4.92847i	0.250829	+	0.278573i	0.855389	−	0.517986i	$-0.173318\pi$
$313$	4.43761	+	4.92847i	0.250829	+	0.278573i	−0.604561	+	0.796559i	$0.706651\pi$
$314$	−3.10703	+	9.56247i	−0.175340	+	0.539641i
$315$	−14.8470	+	1.01259i	−0.836533	+	0.0570527i
$316$	0.536568	+	0.389839i	0.0301843	+	0.0219302i
$317$	−6.42590	−	1.36587i	−0.360914	−	0.0767147i	0.0238856	−	0.999715i	$-0.492396\pi$
$317$	−6.42590	−	1.36587i	−0.360914	−	0.0767147i	−0.384800	+	0.923000i	$0.625730\pi$
$318$	−2.72130	+	2.62342i	−0.152603	+	0.147114i
$319$	10.4536	+	8.04293i	0.585292	+	0.450318i
$320$	11.1893	+	19.3804i	0.625499	+	1.08340i
$321$	−0.392492	−	11.5232i	−0.0219068	−	0.643160i
$322$	2.48687	−	1.10722i	0.138588	−	0.0617032i
$323$	13.7825	−	10.0136i	0.766881	−	0.557172i
$324$	−0.683897	−	0.881572i	−0.0379943	−	0.0489762i
$325$	3.15350	−	9.70549i	0.174925	−	0.538364i
$326$	1.16827	+	11.1153i	0.0647045	+	0.615622i
$327$	9.84786	+	12.6270i	0.544588	+	0.698276i
$328$	−0.812960	+	0.902883i	−0.0448882	+	0.0498534i
$329$	−8.66567	−	15.0094i	−0.477754	−	0.827494i
$330$	25.0455	+	2.46612i	1.37871	+	0.135755i
$331$	5.79863	−	10.0435i	0.318722	−	0.552042i	−0.661500	−	0.749945i	$-0.730080\pi$
$331$	5.79863	−	10.0435i	0.318722	−	0.552042i	0.980222	+	0.197903i	$0.0634132\pi$
$332$	0.425112	+	1.30836i	0.0233311	+	0.0718056i
$333$	10.4529	+	26.0004i	0.572817	+	1.42481i
$334$	−22.5651	+	16.3945i	−1.23471	+	0.897069i
$335$	−22.0437	−	24.4820i	−1.20438	−	1.33759i
$336$	−12.0673	−	0.854243i	−0.658327	−	0.0466028i
$337$	−10.6273	−	4.73156i	−0.578903	−	0.257744i	0.0963289	−	0.995350i	$-0.469290\pi$
$337$	−10.6273	−	4.73156i	−0.578903	−	0.257744i	−0.675232	+	0.737605i	$0.735957\pi$
$338$	−1.00657	+	9.57688i	−0.0547502	+	0.520914i
$339$	13.2281	−	8.25005i	0.718452	−	0.448081i
$340$	−1.39319	+	2.41308i	−0.0755565	+	0.130868i
$341$	1.38570	+	17.9040i	0.0750400	+	0.969553i
$342$	8.80383	−	4.66171i	0.476057	−	0.252076i
$343$	5.75048	+	17.6981i	0.310497	+	0.955610i
$344$	10.4441	−	4.65003i	0.563110	−	0.250713i
$345$	−1.02837	+	5.80305i	−0.0553657	+	0.312426i
$346$	−15.5871	+	3.31313i	−0.837966	+	0.178115i
$347$	−7.79047	+	1.65592i	−0.418214	+	0.0888942i	−0.412212	−	0.911088i	$-0.635244\pi$
$347$	−7.79047	+	1.65592i	−0.418214	+	0.0888942i	−0.00600204	+	0.999982i	$0.501911\pi$
$348$	−0.802679	+	0.291371i	−0.0430281	+	0.0156191i
$349$	−9.41586	+	4.19221i	−0.504020	+	0.224404i	−0.642964	−	0.765896i	$-0.722296\pi$
$349$	−9.41586	+	4.19221i	−0.504020	+	0.224404i	0.138945	+	0.990300i	$0.455629\pi$
$350$	2.99960	+	9.23181i	0.160335	+	0.493461i
$351$	4.09193	−	12.4842i	0.218411	−	0.666355i
$352$	2.25775	+	0.545136i	0.120338	+	0.0290559i
$353$	−2.31221	+	4.00486i	−0.123066	+	0.213157i	−0.920975	−	0.389621i	$-0.872606\pi$
$353$	−2.31221	+	4.00486i	−0.123066	+	0.213157i	0.797909	+	0.602778i	$0.205939\pi$
$354$	0.279416	+	8.20336i	0.0148508	+	0.436004i
$355$	2.50083	−	23.7938i	0.132730	−	1.26284i
$356$	−0.0605423	−	0.0269552i	−0.00320874	−	0.00142862i
$357$	9.35179	+	19.2159i	0.494949	+	1.01701i
$358$	−12.7678	−	14.1801i	−0.674801	−	0.749443i
$359$	11.7981	−	8.57182i	0.622680	−	0.452403i	−0.231177	−	0.972912i	$-0.574258\pi$
$359$	11.7981	−	8.57182i	0.622680	−	0.452403i	0.853857	+	0.520508i	$0.174258\pi$
$360$	15.2133	−	19.4034i	0.801811	−	1.02265i
$361$	−4.26707	−	13.1327i	−0.224582	−	0.691194i
$362$	−9.41776	+	16.3120i	−0.494987	+	0.857342i
$363$	−14.4222	+	12.4499i	−0.756971	+	0.653449i
$364$	0.258619	+	0.447941i	0.0135553	+	0.0234785i
$365$	−11.7921	+	13.0964i	−0.617225	+	0.685498i
$366$	−3.01551	+	7.44524i	−0.157623	+	0.389169i
$367$	0.919110	+	8.74475i	0.0479772	+	0.456472i	0.991967	+	0.126497i	$0.0403736\pi$
$367$	0.919110	+	8.74475i	0.0479772	+	0.456472i	−0.943990	+	0.329975i	$0.892960\pi$
$368$	−1.48048	+	4.55646i	−0.0771755	+	0.237522i
$369$	1.25193	+	0.458101i	0.0651727	+	0.0238478i
$370$	33.1068	−	24.0535i	1.72114	−	1.25048i
$371$	2.25741	−	1.00506i	0.117199	−	0.0521802i
$372$	−1.02605	−	0.546691i	−0.0531982	−	0.0283446i
$373$	5.54914	+	9.61139i	0.287323	+	0.497659i	0.973170	−	0.230087i	$-0.0739012\pi$
$373$	5.54914	+	9.61139i	0.287323	+	0.497659i	−0.685847	+	0.727746i	$0.740568\pi$
$374$	−10.2195	−	34.6657i	−0.528440	−	1.79252i
$375$	4.82244	+	1.38730i	0.249030	+	0.0716396i
$376$	28.0879	+	5.97026i	1.44852	+	0.307893i
$377$	−8.13452	−	5.91007i	−0.418949	−	0.304384i
$378$	3.83100	+	11.8948i	0.197045	+	0.611801i
$379$	−3.53643	+	10.8840i	−0.181654	+	0.559074i	−0.999875	−	0.0158306i	$-0.994961\pi$
$379$	−3.53643	+	10.8840i	−0.181654	+	0.559074i	0.818221	+	0.574904i	$0.194961\pi$
$380$	−0.568161	−	0.631007i	−0.0291461	−	0.0323700i
$381$	−13.2798	+	4.82053i	−0.680342	+	0.246963i
$382$	2.52189	−	23.9942i	0.129031	−	1.22765i
$383$	−5.28927	+	5.87433i	−0.270269	+	0.300164i	−0.862967	−	0.505261i	$-0.831396\pi$
$383$	−5.28927	+	5.87433i	−0.270269	+	0.300164i	0.592698	+	0.805425i	$0.298063\pi$
$384$	15.2755	−	14.7261i	0.779526	−	0.751487i
$385$	−14.8402	−	7.10207i	−0.756328	−	0.361955i
$386$	−29.9384			−1.52383
$387$	−9.00871	−	8.72956i	−0.457939	−	0.443748i
$388$	−1.14432	−	0.831400i	−0.0580942	−	0.0422079i
$389$	2.86178	+	27.2280i	0.145098	+	1.38051i	0.788523	+	0.615005i	$0.210846\pi$
$389$	2.86178	+	27.2280i	0.145098	+	1.38051i	−0.643425	+	0.765509i	$0.722487\pi$
$390$	−19.1372	−	1.35472i	−0.969052	−	0.0685989i
$391$	8.27841	−	1.75963i	0.418657	−	0.0889883i
$392$	−10.6825	−	4.75616i	−0.539548	−	0.240222i
$393$	1.69112	−	4.17535i	0.0853059	−	0.210619i
$394$	4.76611	+	1.01307i	0.240113	+	0.0510376i
$395$	16.0819			0.809170
$396$	−0.178645	−	1.22050i	−0.00897723	−	0.0613322i
$397$	9.58671			0.481143			0.240572	−	0.970631i	$-0.422665\pi$
$397$	9.58671			0.481143			0.240572	+	0.970631i	$0.422665\pi$
$398$	11.6608	+	2.47858i	0.584504	+	0.124240i
$399$	−6.44975	+	0.900807i	−0.322891	+	0.0450967i
$400$	−15.6066	−	6.94852i	−0.780332	−	0.347426i
$401$	6.63369	−	1.41003i	0.331271	−	0.0704137i	−0.0392739	−	0.999228i	$-0.512504\pi$
$401$	6.63369	−	1.41003i	0.331271	−	0.0704137i	0.370544	+	0.928815i	$0.379171\pi$
$402$	−15.4892	+	22.9212i	−0.772531	+	1.14321i
$403$	−1.43094	−	13.6145i	−0.0712800	−	0.678184i
$404$	0.689688	+	0.501087i	0.0343132	+	0.0249300i
$405$	−25.9805	−	7.54644i	−1.29098	−	0.374986i
$406$	9.56409			0.474658
$407$	−4.08361	+	30.7102i	−0.202417	+	1.52225i
$408$	−34.0279	−	9.78896i	−1.68463	−	0.484626i
$409$	−24.8592	+	27.6090i	−1.22921	+	1.36518i	−0.320772	+	0.947156i	$0.603942\pi$
$409$	−24.8592	+	27.6090i	−1.22921	+	1.36518i	−0.908438	+	0.418020i	$0.862724\pi$
$410$	0.203492	−	1.93609i	0.0100497	−	0.0956168i
$411$	3.37600	−	19.0506i	0.166526	−	0.939697i
$412$	0.717460	+	0.796820i	0.0353467	+	0.0392565i
$413$	1.65815	−	5.10325i	0.0815920	−	0.251114i
$414$	4.93747	−	0.336742i	0.242663	−	0.0165500i
$415$	26.9867	+	19.6070i	1.32473	+	0.962470i
$416$	−1.73190	−	0.368128i	−0.0849136	−	0.0180489i
$417$	−8.33805	−	33.5648i	−0.408316	−	1.64368i
$418$	11.0091	+	0.302577i	0.538473	+	0.0147995i
$419$	−1.81439	−	3.14261i	−0.0886387	−	0.153527i	0.818297	−	0.574795i	$-0.194918\pi$
$419$	−1.81439	−	3.14261i	−0.0886387	−	0.153527i	−0.906936	+	0.421269i	$0.861585\pi$
$420$	0.903776	−	0.563663i	0.0440998	−	0.0275040i
$421$	−25.1916	+	11.2160i	−1.22776	+	0.546635i	−0.915099	−	0.403229i	$-0.867888\pi$
$421$	−25.1916	+	11.2160i	−1.22776	+	0.546635i	−0.312663	+	0.949864i	$0.601221\pi$
$422$	−0.702274	+	0.510232i	−0.0341861	+	0.0248377i
$423$	−5.41803	−	31.0388i	−0.263434	−	1.50916i
$424$	−1.26516	+	3.89375i	−0.0614414	+	0.189097i
$425$	3.15453	+	30.0134i	0.153017	+	1.45586i
$426$	−19.8974	+	2.77898i	−0.964032	+	0.134642i
$427$	3.51375	−	3.90242i	0.170042	−	0.188851i
$428$	0.412624	+	0.714686i	0.0199450	+	0.0345457i
$429$	10.7295	−	9.78932i	0.518026	−	0.472633i
$430$	−9.15939	+	15.8645i	−0.441705	+	0.765056i
$431$	−3.45275	−	10.6265i	−0.166313	−	0.511859i	0.832818	−	0.553548i	$-0.186726\pi$
$431$	−3.45275	−	10.6265i	−0.166313	−	0.511859i	−0.999131	+	0.0416886i	$0.986726\pi$
$432$	−20.0686	−	8.99712i	−0.965550	−	0.432874i
$433$	25.3595	−	18.4247i	1.21870	−	0.885436i	0.222707	−	0.974885i	$-0.428511\pi$
$433$	25.3595	−	18.4247i	1.21870	−	0.885436i	0.995991	+	0.0894495i	$0.0285108\pi$
$434$	8.71297	+	9.67674i	0.418236	+	0.464498i
$435$	−11.5933	+	17.1559i	−0.555854	+	0.822564i
$436$	−1.04705	−	0.466179i	−0.0501448	−	0.0223259i
$437$	−0.269586	+	2.56494i	−0.0128960	+	0.122698i
$438$	13.0604	+	6.95874i	0.624051	+	0.332501i
$439$	−7.16548	+	12.4110i	−0.341990	+	0.592343i	−0.984802	−	0.173680i	$-0.944434\pi$
$439$	−7.16548	+	12.4110i	−0.341990	+	0.592343i	0.642812	+	0.766024i	$0.277767\pi$
$440$	25.1972	−	10.3987i	1.20123	−	0.495740i
$441$	−0.469805	+	12.8221i	−0.0223717	+	0.610576i
$442$	8.51371	+	26.2025i	0.404956	+	1.24633i
$443$	37.3058	−	16.6096i	1.77245	−	0.789145i	0.787498	−	0.616318i	$-0.211376\pi$
$443$	37.3058	−	16.6096i	1.77245	−	0.789145i	0.984952	−	0.172828i	$-0.0552904\pi$
$444$	−1.53538	−	1.29058i	−0.0728658	−	0.0612483i
$445$	−1.57183	+	0.334102i	−0.0745117	+	0.0158380i
$446$	40.4868	−	8.60573i	1.91710	−	0.407493i
$447$	−24.0924	−	20.2512i	−1.13953	−	0.957847i
$448$	−11.2228	+	4.99670i	−0.530226	+	0.236072i
$449$	2.14537	+	6.60278i	0.101246	+	0.311605i	0.988831	−	0.149040i	$-0.0476183\pi$
$449$	2.14537	+	6.60278i	0.101246	+	0.311605i	−0.887585	+	0.460645i	$0.847618\pi$
$450$	−0.646155	+	17.6351i	−0.0304601	+	0.831329i
$451$	0.955706	+	1.12193i	0.0450025	+	0.0528297i
$452$	−0.557925	+	0.966354i	−0.0262426	+	0.0454535i
$453$	−9.50722	−	5.06555i	−0.446688	−	0.238000i
$454$	−1.51344	+	14.3994i	−0.0710292	+	0.675798i
$455$	11.4575	+	5.10123i	0.537138	+	0.239149i
$456$	6.04135	−	8.94010i	0.282912	−	0.418659i
$457$	26.9940	+	29.9799i	1.26273	+	1.40240i	0.877498	+	0.479579i	$0.159211\pi$
$457$	26.9940	+	29.9799i	1.26273	+	1.40240i	0.385229	+	0.922821i	$0.374123\pi$
$458$	11.8169	−	8.58549i	0.552168	−	0.401174i
$459$	3.96155	+	38.6490i	0.184909	+	1.80398i
$460$	−0.130351	−	0.401179i	−0.00607765	−	0.0187051i
$461$	12.2665	−	21.2461i	0.571306	−	0.989532i	−0.425126	−	0.905134i	$-0.639770\pi$
$461$	12.2665	−	21.2461i	0.571306	−	0.989532i	0.996432	−	0.0843975i	$-0.0268966\pi$
$462$	−2.78353	+	13.5321i	−0.129501	+	0.629569i
$463$	−4.26357	−	7.38472i	−0.198145	−	0.343197i	0.749782	−	0.661685i	$-0.230158\pi$
$463$	−4.26357	−	7.38472i	−0.198145	−	0.343197i	−0.947927	+	0.318488i	$0.896825\pi$
$464$	−11.2630	+	12.5088i	−0.522871	+	0.580707i
$465$	−27.9196	+	3.89939i	−1.29474	+	0.180830i
$466$	−3.78985	−	36.0580i	−0.175561	−	1.67035i
$467$	−3.88993	+	11.9720i	−0.180005	+	0.553997i	−0.999827	−	0.0186213i	$-0.994072\pi$
$467$	−3.88993	+	11.9720i	−0.180005	+	0.553997i	0.819822	+	0.572618i	$0.194072\pi$
$468$	0.161696	+	0.926322i	0.00747439	+	0.0428192i
$469$	14.6308	−	10.6299i	0.675590	−	0.490845i
$470$	−42.0338	+	18.7146i	−1.93887	+	0.863242i
$471$	10.1392	−	6.32357i	0.467189	−	0.291375i
$472$	4.44521	+	7.69933i	0.204607	+	0.354390i
$473$	−3.92157	−	13.3024i	−0.180314	−	0.611643i
$474$	−3.25579	−	13.1062i	−0.149544	−	0.601988i
$475$	−8.99549	−	1.91205i	−0.412741	−	0.0877309i
$476$	−1.23748	−	0.899080i	−0.0567197	−	0.0412092i
$477$	4.48190	−	0.305671i	0.205212	−	0.0139957i
$478$	6.49587	−	19.9922i	0.297114	−	0.914423i
$479$	−2.29435	−	2.54813i	−0.104831	−	0.116427i	0.688446	−	0.725288i	$-0.258293\pi$
$479$	−2.29435	−	2.54813i	−0.104831	−	0.116427i	−0.793277	+	0.608861i	$0.791627\pi$
$480$	−0.636234	+	3.59023i	−0.0290400	+	0.163871i
$481$	2.46867	−	23.4878i	0.112562	−	1.07095i
$482$	7.74530	−	8.60202i	0.352789	−	0.391811i
$483$	−3.10916	−	0.894428i	−0.141472	−	0.0406979i
$484$	0.492003	−	1.27184i	0.0223638	−	0.0578109i
$485$	−34.2975			−1.55737
$486$	−0.890326	+	22.7009i	−0.0403860	+	1.02974i
$487$	21.7477	+	15.8006i	0.985483	+	0.715995i	0.958927	−	0.283652i	$-0.0915460\pi$
$487$	21.7477	+	15.8006i	0.985483	+	0.715995i	0.0265558	+	0.999647i	$0.491546\pi$
$488$	0.909446	+	8.65280i	0.0411687	+	0.391694i
$489$	7.43719	−	11.0057i	0.336321	−	0.497695i
$490$	18.3274	−	3.89561i	0.827949	−	0.175986i
$491$	−13.8536	−	6.16802i	−0.625204	−	0.278359i	0.0695807	−	0.997576i	$-0.477834\pi$
$491$	−13.8536	−	6.16802i	−0.625204	−	0.278359i	−0.694785	+	0.719217i	$0.744501\pi$
$492$	−0.0945000	+	0.0131984i	−0.00426039	+	0.000595029i
$493$	29.0849	+	6.18219i	1.30992	+	0.278432i
$494$	−8.39569			−0.377740
$495$	−20.8995	−	21.3962i	−0.939364	−	0.961686i
$496$	−22.9168			−1.02899
$497$	12.8467	+	2.73066i	0.576254	+	0.122487i
$498$	10.5155	−	25.9627i	0.471212	−	1.16341i
$499$	−0.575292	−	0.256137i	−0.0257536	−	0.0114663i	0.393819	−	0.919188i	$-0.371154\pi$
$499$	−0.575292	−	0.256137i	−0.0257536	−	0.0114663i	−0.419573	+	0.907722i	$0.637820\pi$
$500$	−0.351316	+	0.0746746i	−0.0157113	+	0.00333955i
$501$	33.0660	+	2.34073i	1.47728	+	0.104576i
$502$	1.72061	+	16.3705i	0.0767946	+	0.730652i
$503$	−14.0273	−	10.1914i	−0.625446	−	0.454413i	0.229374	−	0.973338i	$-0.426332\pi$
$503$	−14.0273	−	10.1914i	−0.625446	−	0.454413i	−0.854820	+	0.518925i	$0.826332\pi$
$504$	9.72029	+	9.41909i	0.432976	+	0.419560i
$505$	20.6712			0.919858
$506$	4.93522	+	2.36184i	0.219397	+	0.104997i
$507$	8.23929	−	7.94293i	0.365920	−	0.352758i
$508$	0.676614	−	0.751456i	0.0300199	−	0.0333405i
$509$	1.23596	−	11.7594i	0.0547830	−	0.521225i	−0.932377	−	0.361488i	$-0.882269\pi$
$509$	1.23596	−	11.7594i	0.0547830	−	0.521225i	0.987160	−	0.159737i	$-0.0510646\pi$
$510$	53.3305	−	19.3589i	2.36151	−	0.857225i
$511$	−6.47333	−	7.18937i	−0.286363	−	0.318039i
$512$	6.23611	−	19.1928i	0.275600	−	0.848208i
$513$	−11.5742	−	2.49136i	−0.511015	−	0.109996i
$514$	−26.1356	−	18.9886i	−1.15279	−	0.837551i
$515$	25.4309	+	5.40551i	1.12062	+	0.238195i
$516$	0.862871	+	0.248226i	0.0379858	+	0.0109276i
$517$	11.6702	−	32.8204i	0.513257	−	1.44344i
$518$	11.2323	+	19.4549i	0.493518	+	0.854798i
$519$	16.7141	+	8.90545i	0.733667	+	0.390906i
$520$	−18.9834	+	8.45195i	−0.832476	+	0.370642i
$521$	2.33877	−	1.69922i	0.102464	−	0.0744441i	−0.535374	−	0.844615i	$-0.679829\pi$
$521$	2.33877	−	1.69922i	0.102464	−	0.0744441i	0.637837	+	0.770171i	$0.279829\pi$
$522$	16.3285	+	5.97487i	0.714680	+	0.261513i
$523$	9.85828	−	30.3407i	0.431073	−	1.32671i	−0.465985	−	0.884792i	$-0.654300\pi$
$523$	9.85828	−	30.3407i	0.431073	−	1.32671i	0.897058	−	0.441913i	$-0.145700\pi$
$524$	0.0337034	+	0.320666i	0.00147234	+	0.0140084i
$525$	4.33076	−	10.6926i	0.189010	−	0.466662i
$526$	−17.5779	+	19.5222i	−0.766432	+	0.851209i
$527$	20.2416	+	35.0595i	0.881739	+	1.52722i
$528$	−14.4205	−	19.5763i	−0.627573	−	0.851951i
$529$	10.8594	−	18.8090i	0.472147	−	0.817782i
$530$	−2.02721	−	6.23910i	−0.0880563	−	0.271009i
$531$	6.01901	−	7.67677i	0.261203	−	0.333143i
$532$	0.377100	−	0.273979i	0.0163494	−	0.0118785i
$533$	−0.751781	−	0.834938i	−0.0325633	−	0.0361652i
$534$	0.590498	+	1.21334i	0.0255533	+	0.0525065i
$535$	18.2804	+	8.13897i	0.790332	+	0.351879i
$536$	−3.13205	+	29.7995i	−0.135284	+	1.28714i
$537$	0.771969	+	22.6642i	0.0333129	+	0.978034i
$538$	17.8816	−	30.9719i	0.770932	−	1.33529i
$539$	−7.42726	+	12.0850i	−0.319915	+	0.520537i
$540$	1.89512	−	0.397722i	0.0815532	−	0.0171152i
$541$	−7.01366	−	21.5858i	−0.301541	−	0.928047i	−0.980946	−	0.194283i	$-0.937762\pi$
$541$	−7.01366	−	21.5858i	−0.301541	−	0.928047i	0.679405	−	0.733764i	$-0.262238\pi$
$542$	−2.68597	+	1.19587i	−0.115372	+	0.0513671i
$543$	21.0419	−	7.63818i	0.902995	−	0.327786i
$544$	5.12169	−	1.08865i	0.219591	−	0.0466755i
$545$	−27.1841	+	5.77816i	−1.16444	+	0.247509i
$546$	1.83773	−	10.3702i	0.0786477	−	0.443805i
$547$	−12.9284	+	5.75608i	−0.552777	+	0.246112i	−0.664063	−	0.747676i	$-0.731170\pi$
$547$	−12.9284	+	5.75608i	−0.552777	+	0.246112i	0.111287	+	0.993788i	$0.464503\pi$
$548$	0.427924	+	1.31702i	0.0182800	+	0.0562601i
$549$	8.43685	−	4.46739i	0.360076	−	0.190663i
$550$	−10.2152	+	16.6213i	−0.435579	+	0.708735i
$551$	−4.53058	+	7.84719i	−0.193009	+	0.334301i
$552$	4.54825	−	2.83663i	0.193586	−	0.120735i
$553$	−0.922808	+	8.77993i	−0.0392418	+	0.373361i
$554$	−24.4959	−	10.9063i	−1.04073	−	0.463363i
$555$	−48.5132	−	3.43424i	−2.05927	−	0.145775i
$556$	1.65638	+	1.83960i	0.0702461	+	0.0780162i
$557$	0.913496	−	0.663694i	0.0387061	−	0.0281216i	−0.568264	−	0.822846i	$-0.692385\pi$
$557$	0.913496	−	0.663694i	0.0387061	−	0.0281216i	0.606970	+	0.794725i	$0.292385\pi$
$558$	8.83019	+	21.9640i	0.373812	+	0.929810i
$559$	3.26699	+	10.0548i	0.138179	+	0.425271i
$560$	10.4978	−	18.1828i	0.443614	−	0.768362i
$561$	−17.2119	+	39.3525i	−0.726688	+	1.66146i
$562$	−12.6441	−	21.9003i	−0.533361	−	0.923807i
$563$	6.67506	−	7.41341i	0.281320	−	0.312438i	−0.585879	−	0.810398i	$-0.699251\pi$
$563$	6.67506	−	7.41341i	0.281320	−	0.312438i	0.867200	+	0.497960i	$0.165917\pi$
$564$	1.38691	+	1.77831i	0.0583993	+	0.0748802i
$565$	2.82821	+	26.9086i	0.118984	+	1.13205i
$566$	−0.538853	+	1.65842i	−0.0226497	+	0.0697085i
$567$	5.61078	−	13.7510i	0.235631	−	0.577488i
$568$	−17.6047	+	12.7905i	−0.738675	+	0.536679i
$569$	−6.15312	+	2.73954i	−0.257952	+	0.114848i	−0.531639	−	0.846971i	$-0.678424\pi$
$569$	−6.15312	+	2.73954i	−0.257952	+	0.114848i	0.273687	+	0.961819i	$0.411757\pi$
$570$	0.588547	+	17.2791i	0.0246515	+	0.723744i
$571$	−13.6516	−	23.6452i	−0.571301	−	0.989522i	−0.996433	−	0.0843903i	$-0.973106\pi$
$571$	−13.6516	−	23.6452i	−0.571301	−	0.989522i	0.425132	−	0.905131i	$-0.360228\pi$
$572$	−0.348287	+	0.979493i	−0.0145626	+	0.0409546i
$573$	−20.6430	+	19.9005i	−0.862373	+	0.831354i
$574$	1.04533	+	0.222192i	0.0436314	+	0.00927413i
$575$	−3.69614	−	2.68541i	−0.154140	−	0.111989i
$576$	−22.2819	+	1.51965i	−0.928411	+	0.0633189i
$577$	−1.54048	+	4.74111i	−0.0641311	+	0.197375i	−0.977988	−	0.208661i	$-0.933089\pi$
$577$	−1.54048	+	4.74111i	−0.0641311	+	0.197375i	0.913857	+	0.406036i	$0.133089\pi$
$578$	−37.9396	−	42.1362i	−1.57808	−	1.75263i
$579$	27.2368	+	22.8943i	1.13192	+	0.951454i
$580$	0.154913	−	1.47390i	0.00643241	−	0.0612003i
$581$	−12.2530	+	13.6083i	−0.508339	+	0.564568i
$582$	6.94354	+	27.9512i	0.287819	+	1.15862i
$583$	4.47985	+	2.14392i	0.185536	+	0.0887920i
$584$	16.0287			0.663274
$585$	16.3743	+	15.8669i	0.676995	+	0.656017i
$586$	16.4078	+	11.9210i	0.677799	+	0.492450i
$587$	−0.404116	−	3.84491i	−0.0166797	−	0.158696i	0.983012	−	0.183543i	$-0.0587568\pi$
$587$	−0.404116	−	3.84491i	−0.0166797	−	0.158696i	−0.999691	+	0.0248471i	$0.992090\pi$
$588$	−0.401873	−	0.825760i	−0.0165729	−	0.0340538i
$589$	−12.0670	+	2.56492i	−0.497212	+	0.105686i
$590$	−13.0139	−	5.79415i	−0.535773	−	0.238541i
$591$	−3.56131	−	4.56635i	−0.146493	−	0.187835i
$592$	−38.6724	−	8.22006i	−1.58942	−	0.337842i
$593$	33.0375			1.35669			0.678344	−	0.734744i	$-0.262698\pi$
$593$	33.0375			1.35669			0.678344	+	0.734744i	$0.262698\pi$
$594$	−13.2060	+	21.3640i	−0.541848	+	0.876577i
$595$	−37.0895			−1.52052
$596$	2.20346	+	0.468359i	0.0902571	+	0.0191847i
$597$	−8.71315	−	11.1721i	−0.356606	−	0.457243i
$598$	−3.81028	−	1.69645i	−0.155814	−	0.0693729i
$599$	−6.48531	+	1.37850i	−0.264983	+	0.0563238i	−0.338487	−	0.940971i	$-0.609915\pi$
$599$	−6.48531	+	1.37850i	−0.264983	+	0.0563238i	0.0735042	+	0.997295i	$0.476582\pi$
$600$	8.36422	+	17.1866i	0.341468	+	0.701642i
$601$	3.91563	+	37.2547i	0.159722	+	1.51965i	0.721529	+	0.692384i	$0.243440\pi$
$601$	3.91563	+	37.2547i	0.159722	+	1.51965i	−0.561807	+	0.827268i	$0.689894\pi$
$602$	−8.13565	−	5.91090i	−0.331584	−	0.240910i
$603$	31.6196	−	9.00804i	1.28765	−	0.366836i
$604$	0.771043			0.0313733
$605$	−8.47530	−	31.9617i	−0.344570	−	1.29943i
$606$	−4.18490	−	16.8463i	−0.170000	−	0.684335i
$607$	−17.0722	+	18.9606i	−0.692938	+	0.769585i	−0.982235	−	0.187654i	$-0.939912\pi$
$607$	−17.0722	+	18.9606i	−0.692938	+	0.769585i	0.289298	+	0.957239i	$0.406578\pi$
$608$	−0.166787	+	1.58688i	−0.00676412	+	0.0643563i
$609$	−8.70103	−	7.31377i	−0.352584	−	0.296369i
$610$	−9.32840	−	10.3602i	−0.377696	−	0.419474i
$611$	−8.20577	+	25.2548i	−0.331970	+	1.02170i
$612$	−1.55104	−	2.30805i	−0.0626971	−	0.0932974i
$613$	−13.0796	−	9.50291i	−0.528281	−	0.383819i	0.291433	−	0.956591i	$-0.405868\pi$
$613$	−13.0796	−	9.50291i	−0.528281	−	0.383819i	−0.819714	+	0.572772i	$0.805868\pi$
$614$	−16.4095	−	3.48795i	−0.662233	−	0.140762i
$615$	−1.66568	+	1.60577i	−0.0671668	+	0.0647509i
$616$	4.23133	+	14.3531i	0.170485	+	0.578302i
$617$	−16.4891	−	28.5599i	−0.663825	−	1.14978i	−0.979602	−	0.200946i	$-0.935599\pi$
$617$	−16.4891	−	28.5599i	−0.663825	−	1.14978i	0.315777	−	0.948833i	$-0.397735\pi$
$618$	−0.743202	−	21.8197i	−0.0298960	−	0.877715i
$619$	−30.0508	+	13.3795i	−1.20784	+	0.537766i	−0.909104	−	0.416569i	$-0.863233\pi$
$619$	−30.0508	+	13.3795i	−1.20784	+	0.537766i	−0.298739	+	0.954335i	$0.596566\pi$
$620$	1.63238	−	1.18600i	0.0655581	−	0.0476308i
$621$	−4.74943	−	3.46939i	−0.190588	−	0.139222i
$622$	−3.17973	+	9.78620i	−0.127495	+	0.392391i
$623$	−0.0922089	−	0.877310i	−0.00369427	−	0.0351487i
$624$	11.3990	+	14.6159i	0.456324	+	0.585103i
$625$	−19.3312	+	21.4695i	−0.773248	+	0.858779i
$626$	4.83262	+	8.37034i	0.193150	+	0.334546i
$627$	−9.78427	−	8.69407i	−0.390746	−	0.347208i
$628$	−0.427643	+	0.740699i	−0.0170648	+	0.0295571i
$629$	21.5824	+	66.4238i	0.860547	+	2.64849i
$630$	−21.4718	−	3.05527i	−0.855456	−	0.121725i
$631$	−9.08037	+	6.59727i	−0.361484	+	0.262633i	−0.753671	−	0.657252i	$-0.771719\pi$
$631$	−9.08037	+	6.59727i	−0.361484	+	0.262633i	0.392187	+	0.919886i	$0.371719\pi$
$632$	−9.78745	−	10.8701i	−0.389324	−	0.432388i
$633$	1.02908	+	0.0728483i	0.0409023	+	0.00289546i
$634$	−8.74649	−	3.89419i	−0.347368	−	0.154658i
$635$	2.56293	−	24.3846i	0.101707	−	0.967673i
$636$	−0.272825	+	0.170154i	−0.0108182	+	0.00674706i
$637$	5.40674	−	9.36475i	0.214223	−	0.371045i
$638$	12.4650	+	14.6330i	0.493494	+	0.579328i
$639$	20.2270	+	12.6876i	0.800167	+	0.501913i
$640$	11.3794	+	35.0221i	0.449808	+	1.38437i
$641$	−6.16095	+	2.74303i	−0.243343	+	0.108343i	−0.524785	−	0.851235i	$-0.675854\pi$
$641$	−6.16095	+	2.74303i	−0.243343	+	0.108343i	0.281442	+	0.959578i	$0.409187\pi$
$642$	2.93209	−	16.5456i	0.115720	−	0.653004i
$643$	32.0564	−	6.81381i	1.26418	−	0.268710i	0.473422	−	0.880836i	$-0.343019\pi$
$643$	32.0564	−	6.81381i	1.26418	−	0.268710i	0.790761	+	0.612126i	$0.209685\pi$
$644$	0.226503	−	0.0481448i	0.00892548	−	0.00189717i
$645$	20.4646	−	7.42863i	0.805795	−	0.292502i
$646$	22.6817	−	10.0986i	0.892400	−	0.397322i
$647$	−3.71083	−	11.4208i	−0.145888	−	0.448996i	0.851236	−	0.524782i	$-0.175853\pi$
$647$	−3.71083	−	11.4208i	−0.145888	−	0.448996i	−0.997124	+	0.0757863i	$0.975853\pi$
$648$	10.7109	+	22.1534i	0.420765	+	0.870269i
$649$	9.96904	−	4.11417i	0.391319	−	0.161495i
$650$	7.43627	−	12.8800i	0.291675	−	0.505195i
$651$	−0.526804	−	15.4664i	−0.0206471	−	0.606177i
$652$	−0.0993782	+	0.945520i	−0.00389195	+	0.0370294i
$653$	27.0979	+	12.0648i	1.06042	+	0.472130i	0.861433	−	0.507871i	$-0.169567\pi$
$653$	27.0979	+	12.0648i	1.06042	+	0.472130i	0.198989	+	0.980002i	$0.436234\pi$
$654$	10.2124	+	20.9843i	0.399337	+	0.820550i
$655$	5.23144	+	5.81011i	0.204409	+	0.227020i
$656$	−1.52162	+	1.10552i	−0.0594093	+	0.0431634i
$657$	−6.56042	−	16.3182i	−0.255946	−	0.636635i
$658$	−7.80529	−	24.0222i	−0.304282	−	0.936483i
$659$	2.76711	−	4.79277i	0.107791	−	0.186700i	−0.807084	−	0.590437i	$-0.798956\pi$
$659$	2.76711	−	4.79277i	0.107791	−	0.186700i	0.914875	+	0.403737i	$0.132289\pi$
$660$	2.04031	+	0.648146i	0.0794188	+	0.0252290i
$661$	2.60958	+	4.51992i	0.101501	+	0.175805i	0.912303	−	0.409515i	$-0.134302\pi$
$661$	2.60958	+	4.51992i	0.101501	+	0.175805i	−0.810802	+	0.585320i	$0.800969\pi$
$662$	11.3094	−	12.5604i	0.439554	−	0.488174i
$663$	12.2919	−	30.3485i	0.477379	−	1.17864i
$664$	−3.17137	−	30.1736i	−0.123073	−	1.17096i
$665$	3.49263	−	10.7492i	0.135438	−	0.416837i
$666$	7.02274	+	40.2318i	0.272126	+	1.55895i
$667$	−3.64177	+	2.64590i	−0.141010	+	0.102450i
$668$	−2.16750	+	0.965031i	−0.0838629	+	0.0373382i
$669$	−43.4142	−	23.1316i	−1.67849	−	0.894318i
$670$	−24.0059	−	41.5794i	−0.927429	−	1.60635i
$671$	10.5502	+	0.289964i	0.407286	+	0.0111939i
$672$	−1.92358	−	0.553365i	−0.0742037	−	0.0213465i
$673$	−3.08356	−	0.655430i	−0.118862	−	0.0252650i	0.148096	−	0.988973i	$-0.452685\pi$
$673$	−3.08356	−	0.655430i	−0.118862	−	0.0252650i	−0.266959	+	0.963708i	$0.586019\pi$
$674$	−13.7159	−	9.96515i	−0.528315	−	0.383843i
$675$	14.0736	−	15.5496i	0.541695	−	0.598506i
$676$	−0.253128	+	0.779047i	−0.00973568	+	0.0299633i
$677$	−24.4673	−	27.1737i	−0.940355	−	1.04437i	−0.998937	−	0.0460877i	$-0.985325\pi$
$677$	−24.4673	−	27.1737i	−0.940355	−	1.04437i	0.0585821	−	0.998283i	$-0.481342\pi$
$678$	21.3570	−	7.75255i	0.820210	−	0.297735i
$679$	1.96805	−	18.7247i	0.0755267	−	0.718589i
$680$	41.1191	−	45.6674i	1.57685	−	1.75127i
$681$	12.3883	−	11.9427i	0.474719	−	0.457644i
$682$	−3.44966	+	25.9426i	−0.132094	+	0.993395i
$683$	−15.6888			−0.600314			−0.300157	−	0.953890i	$-0.597039\pi$
$683$	−15.6888			−0.600314			−0.300157	+	0.953890i	$0.597039\pi$
$684$	0.814974	−	0.232176i	0.0311613	−	0.00887747i
$685$	27.1652	+	19.7367i	1.03793	+	0.754101i
$686$	2.83485	+	26.9718i	0.108235	+	1.02979i
$687$	−17.3160	−	1.22579i	−0.660646	−	0.0467670i
$688$	17.3116	−	3.67970i	0.659999	−	0.140287i
$689$	−3.45871	−	1.53992i	−0.131767	−	0.0586662i
$690$	−3.22435	+	7.96086i	−0.122749	+	0.303065i
$691$	12.4831	+	2.65336i	0.474878	+	0.100938i	0.439132	−	0.898422i	$-0.355286\pi$
$691$	12.4831	+	2.65336i	0.474878	+	0.100938i	0.0357460	+	0.999361i	$0.488619\pi$
$692$	−1.35552			−0.0515293
$693$	12.8805	−	10.1823i	0.489289	−	0.386795i
$694$	−11.6074			−0.440610
$695$	58.7117	+	12.4796i	2.22706	+	0.473377i
$696$	18.6516	−	2.60499i	0.706989	−	0.0987418i
$697$	3.03529	+	1.35140i	0.114970	+	0.0511879i
$698$	−14.6929	+	3.12308i	−0.556136	+	0.118210i
$699$	−24.1261	+	35.7023i	−0.912533	+	1.35038i
$700$	0.0863103	+	0.821188i	0.00326222	+	0.0310380i
$701$	−13.1522	−	9.55565i	−0.496753	−	0.360912i	0.311023	−	0.950403i	$-0.399329\pi$
$701$	−13.1522	−	9.55565i	−0.496753	−	0.360912i	−0.807775	+	0.589491i	$0.799329\pi$
$702$	9.61600	−	16.5568i	0.362932	−	0.624895i
$703$	−21.2832			−0.802712
$704$	−22.2717	−	10.6585i	−0.839396	−	0.401709i
$705$	52.5520	+	15.1179i	1.97922	+	0.569373i
$706$	−4.50964	+	5.00847i	−0.169723	+	0.188496i
$707$	−1.18615	+	11.2854i	−0.0446097	+	0.424433i
$708$	−0.121835	+	0.687506i	−0.00457883	+	0.0258381i
$709$	16.4102	+	18.2254i	0.616298	+	0.684469i	0.967801	−	0.251718i	$-0.0809957\pi$
$709$	16.4102	+	18.2254i	0.616298	+	0.684469i	−0.351502	+	0.936187i	$0.614329\pi$
$710$	10.7747	−	33.1612i	0.404369	−	1.24452i
$711$	−7.06048	+	14.4132i	−0.264789	+	0.540539i
$712$	1.18244	+	0.859091i	0.0443137	+	0.0321958i
$713$	−5.99474	−	1.27422i	−0.224505	−	0.0477200i
$714$	7.50878	+	30.2266i	0.281009	+	1.13120i
$715$	7.12789	+	24.1785i	0.266568	+	0.904225i
$716$	−0.811567	−	1.40567i	−0.0303297	−	0.0525325i
$717$	−21.1980	+	13.2207i	−0.791653	+	0.493735i
$718$	19.4160	−	8.64454i	0.724597	−	0.322612i
$719$	−17.8775	+	12.9887i	−0.666717	+	0.484398i	−0.868925	−	0.494945i	$-0.835188\pi$
$719$	−17.8775	+	12.9887i	−0.666717	+	0.484398i	0.202208	+	0.979343i	$0.435188\pi$
$720$	29.2818	−	24.4848i	1.09127	−	0.912494i
$721$	−4.41041	+	13.5738i	−0.164252	+	0.505516i
$722$	−2.10357	−	20.0141i	−0.0782866	−	0.744847i
$723$	−13.6244	+	1.90286i	−0.506698	+	0.0707682i
$724$	−1.07210	+	1.19069i	−0.0398444	+	0.0442517i
$725$	−8.02569	−	13.9009i	−0.298067	−	0.516267i
$726$	−24.3318	+	13.3777i	−0.903039	+	0.496494i
$727$	−4.71302	+	8.16319i	−0.174796	+	0.302756i	−0.940091	−	0.340924i	$-0.889260\pi$
$727$	−4.71302	+	8.16319i	−0.174796	+	0.302756i	0.765294	+	0.643680i	$0.222593\pi$
$728$	−3.52504	−	10.8490i	−0.130647	−	0.402089i
$729$	18.1697	−	19.9716i	0.672950	−	0.739688i
$730$	−20.7783	+	15.0963i	−0.769041	+	0.558741i
$731$	−20.9202	−	23.2342i	−0.773761	−	0.859349i
$732$	−0.382583	+	0.566153i	−0.0141407	+	0.0209256i
$733$	−11.5751	−	5.15358i	−0.427537	−	0.190352i	0.181676	−	0.983358i	$-0.441848\pi$
$733$	−11.5751	−	5.15358i	−0.427537	−	0.190352i	−0.609213	+	0.793007i	$0.708515\pi$
$734$	−1.33950	+	12.7445i	−0.0494418	+	0.470407i
$735$	−19.6526	−	10.4711i	−0.724897	−	0.386233i
$736$	−0.396342	+	0.686484i	−0.0146094	+	0.0253041i
$737$	35.3323	+	8.53104i	1.30148	+	0.314245i
$738$	1.64586	+	1.03238i	0.0605850	+	0.0380025i
$739$	−11.2760	−	34.7038i	−0.414793	−	1.27660i	−0.912436	−	0.409219i	$-0.865801\pi$
$739$	−11.2760	−	34.7038i	−0.414793	−	1.27660i	0.497643	−	0.867382i	$-0.334199\pi$
$740$	3.18007	−	1.41586i	0.116902	−	0.0520480i
$741$	7.63806	+	6.42028i	0.280591	+	0.235855i
$742$	3.52256	−	0.748743i	0.129317	−	0.0274872i
$743$	33.0249	−	7.01966i	1.21157	−	0.257526i	0.442543	−	0.896747i	$-0.354077\pi$
$743$	33.0249	−	7.01966i	1.21157	−	0.257526i	0.769023	+	0.639221i	$0.220743\pi$
$744$	19.6275	+	16.4982i	0.719579	+	0.604852i
$745$	49.9001	−	22.2170i	1.82820	−	0.813966i
$746$	4.99818	+	15.3828i	0.182996	+	0.563205i
$747$	−29.4206	+	15.5784i	−1.07644	+	0.569986i
$748$	−0.237229	−	3.06512i	−0.00867396	−	0.112072i
$749$	−5.49243	+	9.51317i	−0.200689	+	0.347604i
$750$	6.45421	+	3.43888i	0.235675	+	0.125570i
$751$	−1.63711	+	15.5761i	−0.0597391	+	0.568380i	0.923183	+	0.384360i	$0.125578\pi$
$751$	−1.63711	+	15.5761i	−0.0597391	+	0.568380i	−0.982922	+	0.184020i	$0.941089\pi$
$752$	40.6102	+	18.0808i	1.48090	+	0.659340i
$753$	10.9534	−	16.2090i	0.399164	−	0.590690i
$754$	−9.80526	−	10.8898i	−0.357087	−	0.396585i
$755$	15.1254	−	10.9893i	0.550470	−	0.399940i
$756$	0.108391	+	1.05746i	0.00394213	+	0.0384596i
$757$	8.94303	+	27.5238i	0.325040	+	1.00037i	0.971423	+	0.237357i	$0.0762811\pi$
$757$	8.94303	+	27.5238i	0.325040	+	1.00037i	−0.646382	+	0.763014i	$0.723719\pi$
$758$	−8.33924	+	14.4440i	−0.302895	+	0.524630i
$759$	−2.68374	−	5.92273i	−0.0974135	−	0.214981i
$760$	9.36317	+	16.2175i	0.339638	+	0.588270i
$761$	−7.04020	+	7.81893i	−0.255207	+	0.283436i	−0.857110	−	0.515133i	$-0.827743\pi$
$761$	−7.04020	+	7.81893i	−0.255207	+	0.283436i	0.601903	+	0.798569i	$0.294409\pi$
$762$	−20.3914	+	2.84798i	−0.738704	+	0.103171i
$763$	−1.59472	−	15.1727i	−0.0577326	−	0.549289i
$764$	0.634194	−	1.95185i	0.0229443	−	0.0706154i
$765$	−63.3219	−	23.1705i	−2.28941	−	0.837732i
$766$	−9.32002	+	6.77139i	−0.336746	+	0.244660i
$767$	−7.51061	+	3.34394i	−0.271192	+	0.120743i
$768$	4.35622	−	2.71687i	0.157192	−	0.0980366i
$769$	8.77494	+	15.1986i	0.316432	+	0.548077i	0.979741	−	0.200269i	$-0.0641816\pi$
$769$	8.77494	+	15.1986i	0.316432	+	0.548077i	−0.663309	+	0.748346i	$0.730848\pi$
$770$	−19.0033	−	14.6210i	−0.684832	−	0.526903i
$771$	9.25630	+	37.2612i	0.333357	+	1.34193i
$772$	−2.49104	−	0.529488i	−0.0896546	−	0.0190567i
$773$	−8.91141	−	6.47451i	−0.320521	−	0.232872i	0.415877	−	0.909421i	$-0.363475\pi$
$773$	−8.91141	−	6.47451i	−0.320521	−	0.232872i	−0.736398	+	0.676549i	$0.763475\pi$
$774$	−10.1971	−	15.1740i	−0.366529	−	0.545419i
$775$	6.75315	−	20.7841i	0.242580	−	0.746586i
$776$	20.8734	+	23.1823i	0.749313	+	0.832196i
$777$	4.65869	−	26.2887i	0.167129	−	0.943102i
$778$	−4.17071	+	39.6817i	−0.149527	+	1.42266i
$779$	−0.677487	+	0.752425i	−0.0242735	+	0.0269584i
$780$	−1.56836	−	0.451179i	−0.0561564	−	0.0161548i
$781$	12.5654	+	23.2144i	0.449625	+	0.830675i
$782$	12.3344			0.441076
$783$	−10.2860	−	17.9223i	−0.367591	−	0.640491i
$784$	−14.6451	−	10.6403i	−0.523038	−	0.380010i
$785$	2.16779	+	20.6251i	0.0773717	+	0.736143i
$786$	3.67592	−	5.43970i	0.131116	−	0.194028i
$787$	37.8676	−	8.04901i	1.34984	−	0.286916i	0.524428	−	0.851455i	$-0.324279\pi$
$787$	37.8676	−	8.04901i	1.34984	−	0.286916i	0.825407	+	0.564538i	$0.190946\pi$
$788$	0.378650	+	0.168586i	0.0134888	+	0.00600562i
$789$	30.9205	−	4.31853i	1.10080	−	0.153744i
$790$	22.9254	+	4.87295i	0.815649	+	0.173372i
$791$	−14.8530			−0.528113
$792$	−1.74261	+	27.1480i	−0.0619208	+	0.964664i
$793$	−8.04572			−0.285712
$794$	13.6662	+	2.90484i	0.484996	+	0.103089i
$795$	−2.92684	+	7.22632i	−0.103804	+	0.256291i
$796$	0.926409	+	0.412464i	0.0328357	+	0.0146194i
$797$	36.1630	−	7.68669i	1.28096	−	0.272276i	0.483338	−	0.875434i	$-0.339424\pi$
$797$	36.1630	−	7.68669i	1.28096	−	0.272276i	0.797622	+	0.603158i	$0.206091\pi$
$798$	−9.46731	−	0.670188i	−0.335139	−	0.0237244i
$799$	−8.20845	−	78.0982i	−0.290394	−	2.76292i
$800$	−2.28673	−	1.66141i	−0.0808482	−	0.0587397i
$801$	0.390646	−	1.55541i	0.0138028	−	0.0549578i
$802$	9.88382			0.349010
$803$	2.56294	−	19.2742i	0.0904441	−	0.680171i
$804$	−1.69417	+	1.63323i	−0.0597487	+	0.0575996i
$805$	3.75710	−	4.17268i	0.132420	−	0.147068i
$806$	2.08543	−	19.8415i	0.0734560	−	0.698887i
$807$	−39.9526	+	14.5027i	−1.40640	+	0.510520i
$808$	−12.5805	−	13.9721i	−0.442580	−	0.491535i
$809$	−5.91906	+	18.2170i	−0.208103	+	0.640475i	0.791469	+	0.611210i	$0.209317\pi$
$809$	−5.91906	+	18.2170i	−0.208103	+	0.640475i	−0.999572	+	0.0292654i	$0.990683\pi$
$810$	−34.7495	−	18.6300i	−1.22097	−	0.654592i
$811$	−26.8995	−	19.5436i	−0.944568	−	0.686269i	0.00494756	−	0.999988i	$-0.498425\pi$
$811$	−26.8995	−	19.5436i	−0.944568	−	0.686269i	−0.949516	+	0.313719i	$0.898425\pi$
$812$	0.795785	+	0.169149i	0.0279266	+	0.00593598i
$813$	3.35809	+	0.966038i	0.117773	+	0.0338804i
$814$	−15.1267	+	42.5411i	−0.530192	+	1.49107i
$815$	11.5265	+	19.9645i	0.403756	+	0.699326i
$816$	−48.3757	−	25.7751i	−1.69349	−	0.902310i
$817$	8.70371	−	3.87514i	0.304504	−	0.135574i
$818$	−43.8035	+	31.8251i	−1.53155	+	1.11274i
$819$	−9.60214	+	8.02909i	−0.335526	+	0.280559i
$820$	0.0511731	−	0.157495i	0.00178704	−	0.00549995i
$821$	−0.693347	−	6.59676i	−0.0241980	−	0.230228i	−0.999936	−	0.0112883i	$-0.996407\pi$
$821$	−0.693347	−	6.59676i	−0.0241980	−	0.230228i	0.975738	−	0.218940i	$-0.0702599\pi$
$822$	10.5851	−	26.1344i	0.369198	−	0.911542i
$823$	−9.77698	+	10.8584i	−0.340804	+	0.378501i	−0.889045	−	0.457819i	$-0.848631\pi$
$823$	−9.77698	+	10.8584i	−0.340804	+	0.378501i	0.548241	+	0.836320i	$0.315297\pi$
$824$	−11.8236	−	20.4790i	−0.411893	−	0.713420i
$825$	22.0039	−	7.30970i	0.766079	−	0.254491i
$826$	3.91007	−	6.77244i	0.136049	−	0.235643i
$827$	−13.6368	−	41.9696i	−0.474196	−	1.45943i	−0.847039	−	0.531531i	$-0.821617\pi$
$827$	−13.6368	−	41.9696i	−0.474196	−	1.45943i	0.372842	−	0.927895i	$-0.378383\pi$
$828$	0.416780	+	0.0593047i	0.0144841	+	0.00206098i
$829$	20.6112	−	14.9749i	0.715857	−	0.520100i	−0.169201	−	0.985582i	$-0.554119\pi$
$829$	20.6112	−	14.9749i	0.715857	−	0.520100i	0.885058	+	0.465481i	$0.154119\pi$
$830$	32.5295	+	36.1277i	1.12912	+	1.25401i
$831$	13.9452	+	28.6544i	0.483755	+	0.994009i
$832$	17.1951	+	7.65575i	0.596133	+	0.265415i
$833$	−3.34264	+	31.8031i	−0.115816	+	1.10191i
$834$	−1.71581	−	50.3744i	−0.0594136	−	1.74432i
$835$	−28.7653	+	49.8230i	−0.995465	+	1.72420i
$836$	0.910667	+	0.219882i	0.0314961	+	0.00760477i
$837$	8.76278	−	26.7345i	0.302886	−	0.924081i
$838$	−1.63424	−	5.02969i	−0.0564540	−	0.173748i
$839$	−17.2006	+	7.65822i	−0.593832	+	0.264391i	−0.681570	−	0.731753i	$-0.738703\pi$
$839$	−17.2006	+	7.65822i	−0.593832	+	0.264391i	0.0877385	+	0.996144i	$0.472036\pi$
$840$	−22.0811	+	8.01540i	−0.761870	+	0.276558i
$841$	12.8967	−	2.74127i	0.444712	−	0.0945265i
$842$	−39.3101	+	8.35561i	−1.35471	+	0.287953i
$843$	−5.24427	+	29.5931i	−0.180622	+	1.01924i
$844$	−0.0674569	+	0.0300337i	−0.00232196	+	0.00103380i
$845$	6.13778	+	18.8901i	0.211146	+	0.649840i
$846$	1.68137	−	45.8886i	0.0578067	−	1.57768i
$847$	17.9358	−	2.79307i	0.616282	−	0.0959710i
$848$	−3.16900	+	5.48888i	−0.108824	+	0.188489i
$849$	1.75844	−	1.09670i	0.0603495	−	0.0376385i
$850$	−4.59737	+	43.7411i	−0.157689	+	1.50031i
$851$	−9.65914	−	4.30053i	−0.331111	−	0.147420i
$852$	−1.70472	−	0.120677i	−0.0584028	−	0.00413432i
$853$	−39.0116	−	43.3268i	−1.33573	−	1.48348i	−0.713522	−	0.700633i	$-0.752901\pi$
$853$	−39.0116	−	43.3268i	−1.33573	−	1.48348i	−0.622212	−	0.782849i	$-0.713766\pi$
$854$	6.19145	−	4.49835i	0.211867	−	0.153930i
$855$	12.6781	−	16.1699i	0.433583	−	0.553001i
$856$	−5.62418	−	17.3094i	−0.192230	−	0.591625i
$857$	−17.7261	+	30.7026i	−0.605513	+	1.04878i	0.386457	+	0.922307i	$0.373699\pi$
$857$	−17.7261	+	30.7026i	−0.605513	+	1.04878i	−0.991970	+	0.126472i	$0.959635\pi$
$858$	18.2616	−	10.7039i	0.623440	−	0.365426i
$859$	1.05466	+	1.82672i	0.0359844	+	0.0623269i	0.883457	−	0.468513i	$-0.155210\pi$
$859$	1.05466	+	1.82672i	0.0359844	+	0.0623269i	−0.847472	+	0.530840i	$0.821877\pi$
$860$	−1.04269	+	1.15802i	−0.0355554	+	0.0394883i
$861$	−0.781089	−	1.00152i	−0.0266195	−	0.0341317i
$862$	−1.70213	−	16.1946i	−0.0579746	−	0.551592i
$863$	−6.42061	+	19.7606i	−0.218560	+	0.672659i	0.780322	+	0.625378i	$0.215055\pi$
$863$	−6.42061	+	19.7606i	−0.218560	+	0.672659i	−0.998882	+	0.0472803i	$0.984945\pi$
$864$	−2.93838	−	2.14644i	−0.0999657	−	0.0730235i
$865$	−26.5911	+	19.3196i	−0.904125	+	0.656885i
$866$	41.7337	−	18.5810i	1.41817	−	0.631410i
$867$	2.29390	+	67.3466i	0.0779050	+	2.28721i
$868$	0.553826	+	0.959254i	0.0187981	+	0.0325592i
$869$	−14.6360	+	10.0311i	−0.496492	+	0.340282i
$870$	−21.7250	+	20.9436i	−0.736547	+	0.710054i
$871$	−27.1032	−	5.76097i	−0.918357	−	0.195203i
$872$	20.4498	+	14.8576i	0.692517	+	0.503143i
$873$	15.0577	−	30.7387i	0.509625	−	1.04035i
$874$	−1.16150	+	3.57473i	−0.0392883	+	0.120917i
$875$	−3.19900	−	3.55285i	−0.108146	−	0.120108i
$876$	0.963627	+	0.809990i	0.0325579	+	0.0273670i
$877$	5.01795	−	47.7427i	0.169444	−	1.61215i	−0.497784	−	0.867301i	$-0.665853\pi$
$877$	5.01795	−	47.7427i	0.169444	−	1.61215i	0.667228	−	0.744854i	$-0.267481\pi$
$878$	−13.9753	+	15.5211i	−0.471643	+	0.523812i
$879$	−5.81106	−	23.3924i	−0.196002	−	0.789007i
$880$	41.5016	−	7.63618i	1.39902	−	0.257416i
$881$	19.7190			0.664351			0.332176	−	0.943218i	$-0.392217\pi$
$881$	19.7190			0.664351			0.332176	+	0.943218i	$0.392217\pi$
$882$	−4.55492	+	18.1360i	−0.153372	+	0.610672i
$883$	34.3677	+	24.9696i	1.15656	+	0.840293i	0.989340	−	0.145626i	$-0.0465196\pi$
$883$	34.3677	+	24.9696i	1.15656	+	0.840293i	0.167224	+	0.985919i	$0.446520\pi$
$884$	0.244973	+	2.33076i	0.00823934	+	0.0783921i
$885$	7.40865	+	15.2231i	0.249039	+	0.511721i
$886$	58.2136	−	12.3737i	1.95572	−	0.415702i
$887$	−43.3478	−	19.2997i	−1.45548	−	0.648019i	−0.481867	−	0.876244i	$-0.660041\pi$
$887$	−43.3478	−	19.2997i	−1.45548	−	0.648019i	−0.973608	+	0.228225i	$0.926708\pi$
$888$	27.2038	+	34.8810i	0.912901	+	1.17053i
$889$	13.1657	+	2.79846i	0.441563	+	0.0938572i
$890$	−2.34193			−0.0785018
$891$	28.3516	−	9.33737i	0.949814	−	0.312814i
$892$	3.52092			0.117889
$893$	23.4073	+	4.97537i	0.783294	+	0.166494i
$894$	−28.2083	−	36.1690i	−0.943427	−	1.20967i
$895$	−35.9547	−	16.0081i	−1.20183	−	0.535091i
$896$	−19.7732	+	4.20293i	−0.660578	+	0.140410i
$897$	2.16915	+	4.45713i	0.0724259	+	0.148819i
$898$	1.05762	+	10.0626i	0.0352932	+	0.335793i
$899$	−17.4199	−	12.6563i	−0.580985	−	0.422110i
$900$	−0.365657	+	1.45591i	−0.0121886	+	0.0485304i
$901$	11.1963			0.373002
$902$	1.02244	+	1.88894i	0.0340436	+	0.0628949i
$903$	2.88136	+	11.5989i	0.0958857	+	0.385988i
$904$	16.4668	−	18.2882i	0.547677	−	0.608257i
$905$	−4.06098	+	38.6377i	−0.134992	+	1.28436i
$906$	−12.0180	−	10.1019i	−0.399271	−	0.335613i
$907$	−2.49061	−	2.76610i	−0.0826993	−	0.0918469i	0.700375	−	0.713775i	$-0.253016\pi$
$907$	−2.49061	−	2.76610i	−0.0826993	−	0.0918469i	−0.783074	+	0.621928i	$0.786350\pi$
$908$	−0.380592	+	1.17134i	−0.0126304	+	0.0388724i
$909$	−9.07532	+	18.5263i	−0.301009	+	0.614480i
$910$	14.7874	+	10.7437i	0.490199	+	0.356151i
$911$	−42.3914	−	9.01058i	−1.40449	−	0.298534i	−0.557516	−	0.830166i	$-0.688245\pi$
$911$	−42.3914	−	9.01058i	−1.40449	−	0.298534i	−0.846975	+	0.531632i	$0.821579\pi$
$912$	12.0255	−	11.5930i	0.398205	−	0.383882i
$913$	−36.7902	−	1.01115i	−1.21758	−	0.0334641i
$914$	29.3969	+	50.9169i	0.972362	+	1.68418i
$915$	0.564014	+	16.5589i	0.0186457	+	0.547420i
$916$	1.13507	−	0.505368i	0.0375039	−	0.0166978i
$917$	−3.47221	+	2.52271i	−0.114663	+	0.0833073i
$918$	−6.06360	+	56.2960i	−0.200129	+	1.85804i
$919$	2.31988	−	7.13986i	0.0765259	−	0.235522i	−0.905475	−	0.424400i	$-0.860485\pi$
$919$	2.31988	−	7.13986i	0.0765259	−	0.235522i	0.982001	+	0.188878i	$0.0604850\pi$
$920$	0.972430	+	9.25205i	0.0320601	+	0.305031i
$921$	12.2614	+	15.7217i	0.404028	+	0.518049i
$922$	23.9241	−	26.5704i	0.787897	−	0.875048i
$923$	−10.0615	−	17.4270i	−0.331178	−	0.573618i
$924$	−0.470931	+	1.07671i	−0.0154925	+	0.0354213i
$925$	18.8511	−	32.6510i	0.619820	−	1.07356i
$926$	−3.84025	−	11.8191i	−0.126199	−	0.388399i
$927$	−16.0096	+	20.4190i	−0.525825	+	0.670648i
$928$	−2.25309	+	1.63697i	−0.0739613	+	0.0537360i
$929$	18.4024	+	20.4380i	0.603764	+	0.670548i	0.965098	−	0.261889i	$-0.0843453\pi$
$929$	18.4024	+	20.4380i	0.603764	+	0.670548i	−0.361334	+	0.932436i	$0.617679\pi$
$930$	−40.9819	−	2.90110i	−1.34385	−	0.0951307i
$931$	−8.90236	−	3.96359i	−0.291763	−	0.129901i
$932$	0.322381	−	3.06725i	0.0105599	−	0.100471i
$933$	10.3764	−	6.47152i	0.339708	−	0.211868i
$934$	−9.17284	+	15.8878i	−0.300145	+	0.519866i
$935$	−48.3392	−	56.7468i	−1.58086	−	1.85582i
$936$	0.759343	−	20.7243i	0.0248199	−	0.677395i
$937$	−14.5835	−	44.8833i	−0.476421	−	1.46627i	−0.844032	−	0.536293i	$-0.819824\pi$
$937$	−14.5835	−	44.8833i	−0.476421	−	1.46627i	0.367611	−	0.929980i	$-0.380176\pi$
$938$	24.0778	−	10.7201i	0.786167	−	0.350024i
$939$	2.00437	−	11.3106i	0.0654102	−	0.369106i
$940$	−3.82843	+	0.813757i	−0.124870	+	0.0265418i
$941$	−7.90757	+	1.68081i	−0.257779	+	0.0547927i	−0.334988	−	0.942222i	$-0.608732\pi$
$941$	−7.90757	+	1.68081i	−0.257779	+	0.0547927i	0.0772091	+	0.997015i	$0.475399\pi$
$942$	16.3699	−	5.94224i	0.533360	−	0.193609i
$943$	−0.459506	+	0.204585i	−0.0149636	+	0.00666221i
$944$	4.25300	+	13.0894i	0.138423	+	0.426023i
$945$	17.1978	+	19.1993i	0.559443	+	0.624553i
$946$	−1.55964	−	20.1513i	−0.0507082	−	0.655175i
$947$	−5.95763	+	10.3189i	−0.193597	+	0.335320i	−0.946440	−	0.322881i	$-0.895349\pi$
$947$	−5.95763	+	10.3189i	−0.193597	+	0.335320i	0.752843	+	0.658201i	$0.228682\pi$
$948$	−0.0391052	−	1.14809i	−0.00127008	−	0.0372882i
$949$	−1.54937	+	14.7413i	−0.0502948	+	0.478523i
$950$	−12.2440	−	5.45140i	−0.397249	−	0.176867i
$951$	4.97928	+	10.2313i	0.161464	+	0.331773i
$952$	22.5726	+	25.0694i	0.731583	+	0.812505i
$953$	17.9674	−	13.0541i	0.582021	−	0.422863i	−0.257431	−	0.966297i	$-0.582876\pi$
$953$	17.9674	−	13.0541i	0.582021	−	0.422863i	0.839452	+	0.543434i	$0.182876\pi$
$954$	6.48173	+	0.922301i	0.209854	+	0.0298606i
$955$	−15.3778	−	47.3279i	−0.497613	−	1.53150i
$956$	0.894071	−	1.54858i	0.0289163	−	0.0500846i
$957$	−0.150107	−	22.8447i	−0.00485229	−	0.738464i
$958$	−2.49857	−	4.32766i	−0.0807253	−	0.139820i
$959$	−12.3340	+	13.6983i	−0.398287	+	0.442342i
$960$	14.5509	−	35.9259i	0.469628	−	1.15950i
$961$	0.176066	+	1.67516i	0.00567956	+	0.0540374i
$962$	10.6362	−	32.7347i	0.342923	−	1.05541i
$963$	−15.3201	+	12.8104i	−0.493685	+	0.412808i
$964$	0.796585	−	0.578753i	0.0256563	−	0.0186404i
$965$	−56.4129	+	25.1166i	−1.81600	+	0.808533i
$966$	−4.16121	−	2.21714i	−0.133885	−	0.0713353i
$967$	8.07667	+	13.9892i	0.259728	+	0.449862i	0.966169	−	0.257910i	$-0.0830337\pi$
$967$	8.07667	+	13.9892i	0.259728	+	0.449862i	−0.706441	+	0.707772i	$0.749700\pi$
$968$	−16.4454	+	25.1805i	−0.528576	+	0.809331i
$969$	−28.3574	−	8.15771i	−0.910971	−	0.262064i
$970$	−48.8924	−	10.3924i	−1.56984	−	0.333680i
$971$	16.5874	+	12.0515i	0.532315	+	0.386750i	0.821223	−	0.570607i	$-0.193292\pi$
$971$	16.5874	+	12.0515i	0.532315	+	0.386750i	−0.288908	+	0.957357i	$0.593292\pi$
$972$	−0.475566	+	1.87310i	−0.0152538	+	0.0600796i
$973$	−10.1822	+	31.3375i	−0.326426	+	1.00464i
$974$	26.2145	+	29.1141i	0.839966	+	0.932877i
$975$	−16.6147	+	6.03111i	−0.532097	+	0.193150i
$976$	−1.40789	+	13.3952i	−0.0450654	+	0.428768i
$977$	6.85282	−	7.61082i	0.219241	−	0.243492i	−0.623484	−	0.781836i	$-0.714283\pi$
$977$	6.85282	−	7.61082i	0.219241	−	0.243492i	0.842725	+	0.538344i	$0.180950\pi$
$978$	13.9368	−	13.4355i	0.445650	−	0.429620i
$979$	1.22210	−	1.28449i	0.0390586	−	0.0410524i
$980$	1.59384			0.0509133
$981$	6.75607	−	26.9002i	0.215705	−	0.858858i
$982$	−17.8799	−	12.9905i	−0.570570	−	0.414543i
$983$	6.34565	+	60.3749i	0.202395	+	1.92566i	0.350261	+	0.936652i	$0.386093\pi$
$983$	6.34565	+	60.3749i	0.202395	+	1.92566i	−0.147866	+	0.989007i	$0.547241\pi$
$984$	2.09910	+	0.148595i	0.0669169	+	0.00473702i
$985$	9.83067	−	2.08957i	0.313231	−	0.0665794i
$986$	39.5884	+	17.6259i	1.26075	+	0.561323i
$987$	−11.2691	+	27.8233i	−0.358700	+	0.885624i
$988$	−0.698567	−	0.148485i	−0.0222244	−	0.00472394i
$989$	4.73310			0.150504
$990$	−23.3099	−	36.8337i	−0.740836	−	1.17065i
$991$	27.8304			0.884061			0.442031	−	0.897000i	$-0.354258\pi$
$991$	27.8304			0.884061			0.442031	+	0.897000i	$0.354258\pi$
$992$	−3.70883	−	0.788337i	−0.117756	−	0.0250297i
$993$	−19.8940	+	2.77850i	−0.631316	+	0.0881729i
$994$	17.4861	+	7.78531i	0.554625	+	0.246935i
$995$	24.0518	−	5.11238i	0.762494	−	0.162073i
$996$	1.33412	−	1.97426i	0.0422733	−	0.0625568i
$997$	4.17854	+	39.7561i	0.132336	+	1.25909i	0.836069	+	0.548625i	$0.184848\pi$
$997$	4.17854	+	39.7561i	0.132336	+	1.25909i	−0.703733	+	0.710465i	$0.748485\pi$
$998$	−0.742490	−	0.539450i	−0.0235031	−	0.0170760i
$999$	24.3767	−	41.9717i	0.771245	−	1.32793i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.16.6	✓	72
3.2	odd	2		297.2.n.b.181.4		72
9.2	odd	6		891.2.f.e.82.6		36
9.4	even	3	inner	99.2.m.b.49.4	yes	72
9.5	odd	6		297.2.n.b.280.6		72
9.7	even	3		891.2.f.f.82.4		36
11.3	even	5		1089.2.e.p.727.13		36
11.8	odd	10		1089.2.e.o.727.6		36
11.9	even	5	inner	99.2.m.b.97.4	yes	72
33.20	odd	10		297.2.n.b.262.6		72
99.20	odd	30		891.2.f.e.163.6		36
99.25	even	15		9801.2.a.cm.1.6		18
99.31	even	15	inner	99.2.m.b.31.6	yes	72
99.47	odd	30		9801.2.a.cp.1.13		18
99.52	odd	30		9801.2.a.co.1.13		18
99.58	even	15		1089.2.e.p.364.13		36
99.74	even	30		9801.2.a.cn.1.6		18
99.85	odd	30		1089.2.e.o.364.6		36
99.86	odd	30		297.2.n.b.64.4		72
99.97	even	15		891.2.f.f.163.4		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.6	✓	72	1.1	even	1	trivial
99.2.m.b.31.6	yes	72	99.31	even	15	inner
99.2.m.b.49.4	yes	72	9.4	even	3	inner
99.2.m.b.97.4	yes	72	11.9	even	5	inner
297.2.n.b.64.4		72	99.86	odd	30
297.2.n.b.181.4		72	3.2	odd	2
297.2.n.b.262.6		72	33.20	odd	10
297.2.n.b.280.6		72	9.5	odd	6
891.2.f.e.82.6		36	9.2	odd	6
891.2.f.e.163.6		36	99.20	odd	30
891.2.f.f.82.4		36	9.7	even	3
891.2.f.f.163.4		36	99.97	even	15
1089.2.e.o.364.6		36	99.85	odd	30
1089.2.e.o.727.6		36	11.8	odd	10
1089.2.e.p.364.13		36	99.58	even	15
1089.2.e.p.727.13		36	11.3	even	5
9801.2.a.cm.1.6		18	99.25	even	15
9801.2.a.cn.1.6		18	99.74	even	30
9801.2.a.co.1.13		18	99.52	odd	30
9801.2.a.cp.1.13		18	99.47	odd	30

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.42554 + 0.303007i) q^{2} +(-1.06518 - 1.36579i) q^{3} +(0.113254 + 0.0504238i) q^{4} +(2.94034 - 0.624989i) q^{5} +(-1.10462 - 2.26974i) q^{6} +(0.172491 + 1.64114i) q^{7} +(-2.21193 - 1.60706i) q^{8} +(-0.730763 + 2.90964i) q^{9} +4.38094 q^{10} +(-2.28613 + 2.40283i) q^{11} +(-0.0517678 - 0.208391i) q^{12} +(1.69179 - 1.87893i) q^{13} +(-0.251386 + 2.39177i) q^{14} +(-3.98561 - 3.35016i) q^{15} +(-2.83214 - 3.14542i) q^{16} +(-2.31051 + 7.11103i) q^{17} +(-1.92337 + 3.92637i) q^{18} +(-1.84333 - 1.33926i) q^{19} +(0.364519 + 0.0774808i) q^{20} +(2.05772 - 1.98370i) q^{21} +(-3.98704 + 2.73261i) q^{22} +(-0.565961 - 0.980273i) q^{23} +(0.161206 + 4.73285i) q^{24} +(3.68727 - 1.64168i) q^{25} +(2.98104 - 2.16585i) q^{26} +(4.75235 - 2.10123i) q^{27} +(-0.0632173 + 0.194563i) q^{28} +(-0.415693 - 3.95505i) q^{29} +(-4.66651 - 5.98345i) q^{30} +(3.62293 - 4.02368i) q^{31} +(-0.350149 - 0.606476i) q^{32} +(5.71692 + 0.562919i) q^{33} +(-5.44842 + 9.43693i) q^{34} +(1.53288 + 4.71771i) q^{35} +(-0.229476 + 0.292679i) q^{36} +(7.55700 - 5.49048i) q^{37} +(-2.22193 - 2.46771i) q^{38} +(-4.36829 - 0.309230i) q^{39} +(-7.50823 - 3.34288i) q^{40} +(0.0464493 - 0.441935i) q^{41} +(3.53443 - 2.20434i) q^{42} +(-2.09073 + 3.62126i) q^{43} +(-0.380073 + 0.156854i) q^{44} +(-0.330203 + 9.01204i) q^{45} +(-0.509769 - 1.56891i) q^{46} +(-9.59469 + 4.27183i) q^{47} +(-1.27922 + 7.21856i) q^{48} +(4.18344 - 0.889218i) q^{49} +(5.75378 - 1.22300i) q^{50} +(12.1733 - 4.41888i) q^{51} +(0.286344 - 0.127489i) q^{52} +(-0.462733 - 1.42415i) q^{53} +(7.41134 - 1.55539i) q^{54} +(-5.22027 + 8.49395i) q^{55} +(2.25588 - 3.90729i) q^{56} +(0.134342 + 3.94416i) q^{57} +(0.605824 - 5.76403i) q^{58} +(-2.97056 - 1.32258i) q^{59} +(-0.282457 - 0.580387i) q^{60} +(-2.12931 - 2.36484i) q^{61} +(6.38383 - 4.63813i) q^{62} +(-4.90117 - 0.697400i) q^{63} +(2.30049 + 7.08018i) q^{64} +(3.80014 - 6.58204i) q^{65} +(7.97911 + 2.53473i) q^{66} +(-5.47962 - 9.49097i) q^{67} +(-0.620239 + 0.688845i) q^{68} +(-0.735994 + 1.81716i) q^{69} +(0.755673 + 7.18975i) q^{70} +(2.45945 - 7.56942i) q^{71} +(6.29236 - 5.26153i) q^{72} +(-4.74289 + 3.44591i) q^{73} +(12.4364 - 5.53706i) q^{74} +(-6.16981 - 3.28734i) q^{75} +(-0.141233 - 0.244623i) q^{76} +(-4.33772 - 3.33740i) q^{77} +(-6.13346 - 1.76444i) q^{78} +(5.23298 + 1.11231i) q^{79} +(-10.2933 - 7.47854i) q^{80} +(-7.93197 - 4.25251i) q^{81} +(0.200125 - 0.615921i) q^{82} +(7.42523 + 8.24656i) q^{83} +(0.333070 - 0.120904i) q^{84} +(-2.34938 + 22.3529i) q^{85} +(-4.07769 + 4.52873i) q^{86} +(-4.95898 + 4.78061i) q^{87} +(8.91826 - 1.64094i) q^{88} -0.534573 q^{89} +(-3.20143 + 12.7470i) q^{90} +(3.37540 + 2.45237i) q^{91} +(-0.0146681 - 0.139557i) q^{92} +(-9.35459 - 0.662208i) q^{93} +(-14.9720 + 3.18239i) q^{94} +(-6.25704 - 2.78581i) q^{95} +(-0.455346 + 1.12424i) q^{96} +(-11.1602 - 2.37218i) q^{97} +6.23309 q^{98} +(-5.32074 - 8.40772i) 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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