LMFDB - Embedded newform 99.2.m.b.31.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("99.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			31.5
Character	$\chi$	$=$	99.31
Dual form			99.2.m.b.16.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.278917 + 0.0592857i) q^{2} +(-1.04736 - 1.37950i) q^{3} +(-1.75281 + 0.780402i) q^{4} +(-2.64954 - 0.563177i) q^{5} +(0.373912 + 0.322674i) q^{6} +(0.425779 - 4.05102i) q^{7} +(0.904002 - 0.656796i) q^{8} +(-0.806061 + 2.88968i) q^{9} +0.772391 q^{10} +(-3.31056 - 0.200500i) q^{11} +(2.91240 + 1.60065i) q^{12} +(2.57679 + 2.86182i) q^{13} +(0.121410 + 1.15514i) q^{14} +(1.99813 + 4.24490i) q^{15} +(2.35451 - 2.61494i) q^{16} +(-1.33502 - 4.10876i) q^{17} +(0.0535075 - 0.853770i) q^{18} +(1.31246 - 0.953561i) q^{19} +(5.08365 - 1.08056i) q^{20} +(-6.03434 + 3.65553i) q^{21} +(0.935259 - 0.140346i) q^{22} +(0.932117 - 1.61447i) q^{23} +(-1.85287 - 0.559170i) q^{24} +(2.13517 + 0.950641i) q^{25} +(-0.888377 - 0.645443i) q^{26} +(4.83057 - 1.91458i) q^{27} +(2.41511 + 7.43295i) q^{28} +(-0.371426 + 3.53388i) q^{29} +(-0.808974 - 1.06552i) q^{30} +(-3.25505 - 3.61509i) q^{31} +(-1.61909 + 2.80435i) q^{32} +(3.19077 + 4.77692i) q^{33} +(0.615950 + 1.06686i) q^{34} +(-3.40956 + 10.4936i) q^{35} +(-0.842241 - 5.69412i) q^{36} +(-6.26542 - 4.55210i) q^{37} +(-0.309536 + 0.343775i) q^{38} +(1.24905 - 6.55206i) q^{39} +(-2.76508 + 1.23109i) q^{40} +(-0.718335 - 6.83450i) q^{41} +(1.46636 - 1.37734i) q^{42} +(-0.492496 - 0.853027i) q^{43} +(5.95925 - 2.23213i) q^{44} +(3.76310 - 7.20238i) q^{45} +(-0.164268 + 0.505566i) q^{46} +(5.35918 + 2.38606i) q^{47} +(-6.07335 - 0.509254i) q^{48} +(-9.38245 - 1.99430i) q^{49} +(-0.651896 - 0.138565i) q^{50} +(-4.26980 + 6.14502i) q^{51} +(-6.75000 - 3.00529i) q^{52} +(-0.485721 + 1.49489i) q^{53} +(-1.23382 + 0.820393i) q^{54} +(8.65855 + 2.39567i) q^{55} +(-2.27579 - 3.94178i) q^{56} +(-2.69007 - 0.811824i) q^{57} +(-0.105911 - 1.00768i) q^{58} +(10.3802 - 4.62154i) q^{59} +(-6.81507 - 5.88117i) q^{60} +(-5.75953 + 6.39660i) q^{61} +(1.12221 + 0.815335i) q^{62} +(11.3630 + 4.49574i) q^{63} +(-1.88937 + 5.81490i) q^{64} +(-5.21561 - 9.03370i) q^{65} +(-1.17316 - 1.14320i) q^{66} +(0.870282 - 1.50737i) q^{67} +(5.54651 + 6.16003i) q^{68} +(-3.20344 + 0.405082i) q^{69} +(0.328868 - 3.12897i) q^{70} +(-1.77418 - 5.46036i) q^{71} +(1.16925 + 3.14170i) q^{72} +(3.27379 + 2.37855i) q^{73} +(2.01741 + 0.898208i) q^{74} +(-0.924890 - 3.94115i) q^{75} +(-1.55634 + 2.69566i) q^{76} +(-2.22180 + 13.3258i) q^{77} +(0.0400613 + 1.90153i) q^{78} +(4.18662 - 0.889893i) q^{79} +(-7.71104 + 5.60240i) q^{80} +(-7.70053 - 4.65852i) q^{81} +(0.605544 + 1.86367i) q^{82} +(-4.34947 + 4.83058i) q^{83} +(7.72429 - 11.1167i) q^{84} +(1.22322 + 11.6382i) q^{85} +(0.187938 + 0.208726i) q^{86} +(5.26402 - 3.18887i) q^{87} +(-3.12444 + 1.99311i) q^{88} +9.26243 q^{89} +(-0.622594 + 2.23196i) q^{90} +(12.6904 - 9.22014i) q^{91} +(-0.373887 + 3.55729i) q^{92} +(-1.57782 + 8.27667i) q^{93} +(-1.63623 - 0.347790i) q^{94} +(-4.01445 + 1.78735i) q^{95} +(5.56439 - 0.703629i) q^{96} +(7.25070 - 1.54118i) q^{97} +2.73516 q^{98} +(3.24790 - 9.40485i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.278917	+	0.0592857i	−0.197224	+	0.0419213i	−0.305465	−	0.952203i	$-0.598812\pi$
$2$	−0.278917	+	0.0592857i	−0.197224	+	0.0419213i	0.108240	+	0.994125i	$0.465478\pi$
$3$	−1.04736	−	1.37950i	−0.604695	−	0.796457i
$3$	−1.04736	−	1.37950i	−0.604695	−	0.796457i
$4$	−1.75281	+	0.780402i	−0.876405	+	0.390201i
$5$	−2.64954	−	0.563177i	−1.18491	−	0.251861i	−0.427020	−	0.904242i	$-0.640437\pi$
$5$	−2.64954	−	0.563177i	−1.18491	−	0.251861i	−0.757891	+	0.652381i	$0.773770\pi$
$6$	0.373912	+	0.322674i	0.152649	+	0.131731i
$7$	0.425779	−	4.05102i	0.160930	−	1.53114i	−0.554338	−	0.832291i	$-0.687029\pi$
$7$	0.425779	−	4.05102i	0.160930	−	1.53114i	0.715268	−	0.698851i	$-0.246305\pi$
$8$	0.904002	−	0.656796i	0.319613	−	0.232212i
$9$	−0.806061	+	2.88968i	−0.268687	+	0.963228i
$10$	0.772391			0.244251
$11$	−3.31056	−	0.200500i	−0.998171	−	0.0604531i
$11$	−3.31056	−	0.200500i	−0.998171	−	0.0604531i
$12$	2.91240	+	1.60065i	0.840736	+	0.462066i
$13$	2.57679	+	2.86182i	0.714674	+	0.793726i	0.985639	−	0.168863i	$-0.0540097\pi$
$13$	2.57679	+	2.86182i	0.714674	+	0.793726i	−0.270966	+	0.962589i	$0.587343\pi$
$14$	0.121410	+	1.15514i	0.0324483	+	0.308725i
$15$	1.99813	+	4.24490i	0.515914	+	1.09603i
$16$	2.35451	−	2.61494i	0.588626	−	0.653736i
$17$	−1.33502	−	4.10876i	−0.323789	−	0.996520i	−0.971984	−	0.235046i	$-0.924476\pi$
$17$	−1.33502	−	4.10876i	−0.323789	−	0.996520i	0.648195	−	0.761474i	$-0.275524\pi$
$18$	0.0535075	−	0.853770i	0.0126118	−	0.201236i
$19$	1.31246	−	0.953561i	0.301100	−	0.218762i	−0.426968	−	0.904267i	$-0.640418\pi$
$19$	1.31246	−	0.953561i	0.301100	−	0.218762i	0.728068	+	0.685505i	$0.240418\pi$
$20$	5.08365	−	1.08056i	1.13674	−	0.241621i
$21$	−6.03434	+	3.65553i	−1.31680	+	0.797701i
$22$	0.935259	−	0.140346i	0.199398	−	0.0299218i
$23$	0.932117	−	1.61447i	0.194360	−	0.336641i	−0.752331	−	0.658786i	$-0.771070\pi$
$23$	0.932117	−	1.61447i	0.194360	−	0.336641i	0.946691	+	0.322145i	$0.104404\pi$
$24$	−1.85287	−	0.559170i	−0.378216	−	0.114140i
$25$	2.13517	+	0.950641i	0.427035	+	0.190128i
$26$	−0.888377	−	0.645443i	−0.174225	−	0.126582i
$27$	4.83057	−	1.91458i	0.929643	−	0.368462i
$28$	2.41511	+	7.43295i	0.456413	+	1.40470i
$29$	−0.371426	+	3.53388i	−0.0689720	+	0.656225i	0.904352	+	0.426788i	$0.140355\pi$
$29$	−0.371426	+	3.53388i	−0.0689720	+	0.656225i	−0.973324	+	0.229437i	$0.926312\pi$
$30$	−0.808974	−	1.06552i	−0.147698	−	0.194536i
$31$	−3.25505	−	3.61509i	−0.584624	−	0.649290i	0.376171	−	0.926550i	$-0.377240\pi$
$31$	−3.25505	−	3.61509i	−0.584624	−	0.649290i	−0.960795	+	0.277260i	$0.910574\pi$
$32$	−1.61909	+	2.80435i	−0.286218	+	0.495744i
$33$	3.19077	+	4.77692i	0.555441	+	0.831556i
$34$	0.615950	+	1.06686i	0.105634	+	0.182964i
$35$	−3.40956	+	10.4936i	−0.576321	+	1.77374i
$36$	−0.842241	−	5.69412i	−0.140373	−	0.949020i
$37$	−6.26542	−	4.55210i	−1.03003	−	0.748360i	−0.0617145	−	0.998094i	$-0.519657\pi$
$37$	−6.26542	−	4.55210i	−1.03003	−	0.748360i	−0.968314	+	0.249734i	$0.919657\pi$
$38$	−0.309536	+	0.343775i	−0.0502134	+	0.0557676i
$39$	1.24905	−	6.55206i	0.200008	−	1.04917i
$40$	−2.76508	+	1.23109i	−0.437198	+	0.194653i
$41$	−0.718335	−	6.83450i	−0.112185	−	1.06737i	−0.895291	−	0.445481i	$-0.853033\pi$
$41$	−0.718335	−	6.83450i	−0.112185	−	1.06737i	0.783106	−	0.621888i	$-0.213634\pi$
$42$	1.46636	−	1.37734i	0.226265	−	0.212528i
$43$	−0.492496	−	0.853027i	−0.0751049	−	0.130085i	0.826027	−	0.563631i	$-0.190596\pi$
$43$	−0.492496	−	0.853027i	−0.0751049	−	0.130085i	−0.901132	+	0.433545i	$0.857262\pi$
$44$	5.95925	−	2.23213i	0.898391	−	0.336506i
$45$	3.76310	−	7.20238i	0.560969	−	1.07367i
$46$	−0.164268	+	0.505566i	−0.0242200	+	0.0745416i
$47$	5.35918	+	2.38606i	0.781716	+	0.348042i	0.758487	−	0.651688i	$-0.225939\pi$
$47$	5.35918	+	2.38606i	0.781716	+	0.348042i	0.0232288	+	0.999730i	$0.492605\pi$
$48$	−6.07335	−	0.509254i	−0.876612	−	0.0735045i
$49$	−9.38245	−	1.99430i	−1.34035	−	0.284900i
$50$	−0.651896	−	0.138565i	−0.0921920	−	0.0195960i
$51$	−4.26980	+	6.14502i	−0.597892	+	0.860475i
$52$	−6.75000	−	3.00529i	−0.936056	−	0.416759i
$53$	−0.485721	+	1.49489i	−0.0667189	+	0.205340i	−0.978858	−	0.204541i	$-0.934430\pi$
$53$	−0.485721	+	1.49489i	−0.0667189	+	0.205340i	0.912139	+	0.409881i	$0.134430\pi$
$54$	−1.23382	+	0.820393i	−0.167902	+	0.111641i
$55$	8.65855	+	2.39567i	1.16752	+	0.323032i
$56$	−2.27579	−	3.94178i	−0.304115	−	0.526743i
$57$	−2.69007	−	0.811824i	−0.356308	−	0.107529i
$58$	−0.105911	−	1.00768i	−0.0139069	−	0.132315i
$59$	10.3802	−	4.62154i	1.35138	−	0.601674i	0.401954	−	0.915660i	$-0.368331\pi$
$59$	10.3802	−	4.62154i	1.35138	−	0.601674i	0.949427	+	0.313986i	$0.101665\pi$
$60$	−6.81507	−	5.88117i	−0.879822	−	0.759256i
$61$	−5.75953	+	6.39660i	−0.737432	+	0.819001i	−0.988856	−	0.148876i	$-0.952434\pi$
$61$	−5.75953	+	6.39660i	−0.737432	+	0.819001i	0.251424	+	0.967877i	$0.419101\pi$
$62$	1.12221	+	0.815335i	0.142521	+	0.103548i
$63$	11.3630	+	4.49574i	1.43160	+	0.566410i
$64$	−1.88937	+	5.81490i	−0.236172	+	0.726862i
$65$	−5.21561	−	9.03370i	−0.646916	−	1.12049i
$66$	−1.17316	−	1.14320i	−0.144406	−	0.140718i
$67$	0.870282	−	1.50737i	0.106322	−	0.184155i	−0.807956	−	0.589243i	$-0.799426\pi$
$67$	0.870282	−	1.50737i	0.106322	−	0.184155i	0.914277	+	0.405088i	$0.132759\pi$
$68$	5.54651	+	6.16003i	0.672614	+	0.747013i
$69$	−3.20344	+	0.405082i	−0.385649	+	0.0487661i
$70$	0.328868	−	3.12897i	0.0393073	−	0.373984i
$71$	−1.77418	−	5.46036i	−0.210556	−	0.648026i	−0.999439	−	0.0334822i	$-0.989340\pi$
$71$	−1.77418	−	5.46036i	−0.210556	−	0.648026i	0.788883	−	0.614543i	$-0.210660\pi$
$72$	1.16925	+	3.14170i	0.137798	+	0.370253i
$73$	3.27379	+	2.37855i	0.383168	+	0.278388i	0.762650	−	0.646811i	$-0.223898\pi$
$73$	3.27379	+	2.37855i	0.383168	+	0.278388i	−0.379482	+	0.925199i	$0.623898\pi$
$74$	2.01741	+	0.898208i	0.234519	+	0.104415i
$75$	−0.924890	−	3.94115i	−0.106797	−	0.455084i
$76$	−1.55634	+	2.69566i	−0.178524	+	0.309213i
$77$	−2.22180	+	13.3258i	−0.253198	+	1.51861i
$78$	0.0400613	+	1.90153i	0.00453605	+	0.215306i
$79$	4.18662	−	0.889893i	0.471031	−	0.100121i	0.0337205	−	0.999431i	$-0.489264\pi$
$79$	4.18662	−	0.889893i	0.471031	−	0.100121i	0.437311	+	0.899311i	$0.355931\pi$
$80$	−7.71104	+	5.60240i	−0.862120	+	0.626367i
$81$	−7.70053	−	4.65852i	−0.855615	−	0.517613i
$82$	0.605544	+	1.86367i	0.0668711	+	0.205808i
$83$	−4.34947	+	4.83058i	−0.477417	+	0.530225i	−0.932956	−	0.359991i	$-0.882780\pi$
$83$	−4.34947	+	4.83058i	−0.477417	+	0.530225i	0.455539	+	0.890216i	$0.349446\pi$
$84$	7.72429	−	11.1167i	0.842789	−	1.21293i
$85$	1.22322	+	11.6382i	0.132677	+	1.26234i
$86$	0.187938	+	0.208726i	0.0202659	+	0.0225075i
$87$	5.26402	−	3.18887i	0.564362	−	0.341883i
$88$	−3.12444	+	1.99311i	−0.333066	+	0.212466i
$89$	9.26243			0.981816			0.490908	−	0.871211i	$-0.336665\pi$
$89$	9.26243			0.981816			0.490908	+	0.871211i	$0.336665\pi$
$90$	−0.622594	+	2.23196i	−0.0656272	+	0.235270i
$91$	12.6904	−	9.22014i	1.33032	−	0.966533i
$92$	−0.373887	+	3.55729i	−0.0389804	+	0.370874i
$93$	−1.57782	+	8.27667i	−0.163612	+	0.858250i
$94$	−1.63623	−	0.347790i	−0.168764	−	0.0358718i
$95$	−4.01445	+	1.78735i	−0.411874	+	0.183378i
$96$	5.56439	−	0.703629i	0.567913	−	0.0718138i
$97$	7.25070	−	1.54118i	0.736197	−	0.156483i	0.175470	−	0.984485i	$-0.443855\pi$
$97$	7.25070	−	1.54118i	0.736197	−	0.156483i	0.560726	+	0.828001i	$0.310522\pi$
$98$	2.73516			0.276293
$99$	3.24790	−	9.40485i	0.326426	−	0.945223i
$100$	−4.48444			−0.448444
$101$	13.4178	−	2.85205i	1.33513	−	0.283790i	0.515598	−	0.856830i	$-0.327570\pi$
$101$	13.4178	−	2.85205i	1.33513	−	0.283790i	0.819527	+	0.573041i	$0.194236\pi$
$102$	0.826609	−	1.96709i	0.0818465	−	0.194771i
$103$	4.63647	−	2.06429i	0.456845	−	0.203400i	−0.165395	−	0.986227i	$-0.552890\pi$
$103$	4.63647	−	2.06429i	0.456845	−	0.203400i	0.622239	+	0.782827i	$0.286223\pi$
$104$	4.20906	+	0.894663i	0.412732	+	0.0877289i
$105$	18.0470	−	6.28706i	1.76120	−	0.613554i
$106$	0.0468500	−	0.445748i	0.00455048	−	0.0432949i
$107$	2.24824	−	1.63344i	0.217346	−	0.157911i	−0.473785	−	0.880640i	$-0.657113\pi$
$107$	2.24824	−	1.63344i	0.217346	−	0.157911i	0.691131	+	0.722730i	$0.257113\pi$
$108$	−6.97293	+	7.12568i	−0.670970	+	0.685669i
$109$	−17.3573			−1.66253			−0.831263	−	0.555879i	$-0.812382\pi$
$109$	−17.3573			−1.66253			−0.831263	+	0.555879i	$0.812382\pi$
$110$	−2.55705	−	0.154865i	−0.243805	−	0.0147658i
$111$	0.282539	+	13.4109i	0.0268174	+	1.27290i
$112$	−9.59069	−	10.6515i	−0.906235	−	1.00648i
$113$	−0.0986387	−	0.938485i	−0.00927915	−	0.0882852i	0.988902	−	0.148568i	$-0.0474664\pi$
$113$	−0.0986387	−	0.938485i	−0.00927915	−	0.0882852i	−0.998181	+	0.0602828i	$0.980800\pi$
$114$	0.798435	+	0.0669493i	0.0747803	+	0.00627038i
$115$	−3.37892	+	3.75267i	−0.315086	+	0.349938i
$116$	−2.10681	−	6.48408i	−0.195612	−	0.602032i
$117$	−10.3468	+	5.13931i	−0.956562	+	0.475130i
$118$	−2.62121	+	1.90442i	−0.241302	+	0.175316i
$119$	−17.2131	+	3.65876i	−1.57792	+	0.335398i
$120$	4.59435	+	2.52504i	0.419405	+	0.230504i
$121$	10.9196	+	1.32754i	0.992691	+	0.120685i
$122$	1.22720	−	2.12558i	0.111106	−	0.192441i
$123$	−8.67586	+	8.14915i	−0.782276	+	0.734784i
$124$	8.52671	+	3.79633i	0.765721	+	0.340921i
$125$	5.83521	+	4.23953i	0.521917	+	0.379195i
$126$	−3.43586	−	0.580278i	−0.306091	−	0.0516952i
$127$	0.757216	+	2.33047i	0.0671920	+	0.206796i	0.979015	−	0.203787i	$-0.0653251\pi$
$127$	0.757216	+	2.33047i	0.0671920	+	0.206796i	−0.911823	+	0.410583i	$0.865325\pi$
$128$	0.859204	−	8.17478i	0.0759436	−	0.722555i
$129$	−0.660933	+	1.57283i	−0.0581919	+	0.138480i
$130$	1.99029	+	2.21044i	0.174560	+	0.193869i
$131$	−1.99869	+	3.46183i	−0.174626	+	0.302461i	−0.940032	−	0.341087i	$-0.889205\pi$
$131$	−1.99869	+	3.46183i	−0.174626	+	0.302461i	0.765406	+	0.643548i	$0.222538\pi$
$132$	−9.32073	−	5.88297i	−0.811265	−	0.512047i
$133$	−3.30407	−	5.72282i	−0.286500	−	0.496232i
$134$	−0.153371	+	0.472027i	−0.0132492	+	0.0407769i
$135$	−13.8770	+	2.35230i	−1.19435	+	0.202454i
$136$	−3.90547	−	2.83749i	−0.334892	−	0.243313i
$137$	0.728855	−	0.809475i	0.0622703	−	0.0691581i	−0.711205	−	0.702985i	$-0.751850\pi$
$137$	0.728855	−	0.809475i	0.0622703	−	0.0691581i	0.773475	+	0.633827i	$0.218517\pi$
$138$	0.869479	−	0.302902i	0.0740149	−	0.0257848i
$139$	2.63551	−	1.17340i	0.223541	−	0.0995269i	−0.291910	−	0.956446i	$-0.594291\pi$
$139$	2.63551	−	1.17340i	0.223541	−	0.0995269i	0.515451	+	0.856919i	$0.327624\pi$
$140$	−2.21287	−	21.0541i	−0.187022	−	1.77939i
$141$	−2.32143	−	9.89207i	−0.195499	−	0.833063i
$142$	0.818570	+	1.41780i	0.0686929	+	0.118980i
$143$	−7.95683	−	9.99087i	−0.665383	−	0.835478i
$144$	5.65848	+	8.91158i	0.471540	+	0.742632i
$145$	2.97431	−	9.15398i	0.247003	−	0.760197i
$146$	−1.05413	−	0.469329i	−0.0872404	−	0.0388419i
$147$	7.07569	+	15.0319i	0.583593	+	1.23981i
$148$	14.5346	+	3.08942i	1.19473	+	0.253948i
$149$	−19.7339	−	4.19458i	−1.61667	−	0.343633i	−0.691260	−	0.722606i	$-0.742944\pi$
$149$	−19.7339	−	4.19458i	−1.61667	−	0.343633i	−0.925408	+	0.378973i	$0.876277\pi$
$150$	0.491621	+	1.04442i	0.0401407	+	0.0852766i
$151$	−10.1206	−	4.50597i	−0.823601	−	0.366691i	−0.0487316	−	0.998812i	$-0.515518\pi$
$151$	−10.1206	−	4.50597i	−0.823601	−	0.366691i	−0.774870	+	0.632121i	$0.782185\pi$
$152$	0.560175	−	1.72404i	0.0454362	−	0.139838i
$153$	12.9491	−	0.545864i	1.04687	−	0.0441305i
$154$	−0.170330	−	3.84851i	−0.0137255	−	0.310122i
$155$	6.58844	+	11.4115i	0.529196	+	0.916595i
$156$	2.92389	+	12.4593i	0.234098	+	0.997541i
$157$	−0.0347854	−	0.330961i	−0.00277618	−	0.0264136i	0.993046	−	0.117726i	$-0.0375605\pi$
$157$	−0.0347854	−	0.330961i	−0.00277618	−	0.0264136i	−0.995822	+	0.0913125i	$0.970894\pi$
$158$	−1.11496	+	0.496413i	−0.0887016	+	0.0394925i
$159$	2.57094	−	0.895644i	0.203889	−	0.0710292i
$160$	5.86920	−	6.51840i	0.464001	−	0.515325i
$161$	−6.14339	−	4.46344i	−0.484167	−	0.351768i
$162$	2.42399	+	0.842810i	0.190447	+	0.0662174i
$163$	4.12168	−	12.6852i	0.322835	−	0.993584i	−0.649574	−	0.760299i	$-0.725053\pi$
$163$	4.12168	−	12.6852i	0.322835	−	0.993584i	0.972408	−	0.233285i	$-0.0749475\pi$
$164$	6.59276	+	11.4190i	0.514808	+	0.891674i
$165$	−5.76381	−	14.4536i	−0.448712	−	1.12521i
$166$	0.926759	−	1.60519i	0.0719304	−	0.124587i
$167$	−12.6567	−	14.0567i	−0.979405	−	1.08774i	−0.996131	−	0.0878797i	$-0.971991\pi$
$167$	−12.6567	−	14.0567i	−0.979405	−	1.08774i	0.0167258	−	0.999860i	$-0.494676\pi$
$168$	−3.05413	+	7.26794i	−0.235631	+	0.560733i
$169$	−0.191273	+	1.81984i	−0.0147133	+	0.139988i
$170$	−1.03115	−	3.17357i	−0.0790860	−	0.243402i
$171$	1.69756	+	4.56123i	0.129816	+	0.348806i
$172$	1.52896	+	1.11085i	0.116582	+	0.0847016i
$173$	−1.38319	−	0.615835i	−0.105162	−	0.0468211i	0.353481	−	0.935442i	$-0.384998\pi$
$173$	−1.38319	−	0.615835i	−0.105162	−	0.0468211i	−0.458643	+	0.888620i	$0.651664\pi$
$174$	−1.27917	+	1.20151i	−0.0969737	+	0.0910864i
$175$	4.76018	−	8.24487i	0.359836	−	0.623254i
$176$	−8.31903	+	8.18485i	−0.627070	+	0.616956i
$177$	−17.2472	−	9.47903i	−1.29638	−	0.712487i
$178$	−2.58345	+	0.549130i	−0.193638	+	0.0411590i
$179$	−10.6703	+	7.75244i	−0.797537	+	0.579445i	−0.910191	−	0.414190i	$-0.864065\pi$
$179$	−10.6703	+	7.75244i	−0.797537	+	0.579445i	0.112653	+	0.993634i	$0.464065\pi$
$180$	−0.975248	+	15.5611i	−0.0726907	+	1.15986i
$181$	0.864886	+	2.66185i	0.0642865	+	0.197853i	0.978041	−	0.208414i	$-0.0668301\pi$
$181$	0.864886	+	2.66185i	0.0642865	+	0.197853i	−0.913754	+	0.406267i	$0.866830\pi$
$182$	−2.99296	+	3.32402i	−0.221853	+	0.246392i
$183$	14.8565	+	1.24572i	1.09822	+	0.0920865i
$184$	−0.217744	−	2.07170i	−0.0160523	−	0.152728i
$185$	14.0369	+	15.5895i	1.03201	+	1.14616i
$186$	−0.0506061	−	2.40205i	−0.00371062	−	0.176127i
$187$	3.59584	+	13.8700i	0.262954	+	1.01427i
$188$	−11.2557			−0.820907
$189$	−5.69926	−	20.3839i	−0.414560	−	1.48271i
$190$	1.01374	−	0.736522i	0.0735441	−	0.0534329i
$191$	1.74997	−	16.6498i	0.126623	−	1.20474i	−0.728032	−	0.685544i	$-0.759565\pi$
$191$	1.74997	−	16.6498i	0.126623	−	1.20474i	0.854655	−	0.519197i	$-0.173769\pi$
$192$	10.0005	−	3.48391i	0.721726	−	0.251430i
$193$	21.5578	+	4.58224i	1.55176	+	0.329837i	0.902487	−	0.430717i	$-0.141739\pi$
$193$	21.5578	+	4.58224i	1.55176	+	0.329837i	0.649275	+	0.760554i	$0.275073\pi$
$194$	−1.93097	+	0.859725i	−0.138636	+	0.0617247i
$195$	−6.99938	+	16.6565i	−0.501236	+	1.19280i
$196$	18.0020	−	3.82645i	1.28586	−	0.273318i
$197$	18.2247			1.29845			0.649227	−	0.760595i	$-0.275093\pi$
$197$	18.2247			1.29845			0.649227	+	0.760595i	$0.275093\pi$
$198$	−0.348321	+	2.81573i	−0.0247541	+	0.200105i
$199$	−25.0958			−1.77899			−0.889497	−	0.456942i	$-0.848945\pi$
$199$	−25.0958			−1.77899			−0.889497	+	0.456942i	$0.848945\pi$
$200$	2.55458	−	0.542993i	0.180636	−	0.0383954i
$201$	−2.99093	+	0.378209i	−0.210964	+	0.0266768i
$202$	−3.57338	+	1.59097i	−0.251422	+	0.111940i
$203$	14.1577	+	3.00931i	0.993674	+	0.211212i
$204$	2.68857	−	14.1032i	0.188237	−	0.987423i
$205$	−1.94578	+	18.5128i	−0.135899	+	1.29299i
$206$	−1.17081	+	0.850642i	−0.0815741	+	0.0592670i
$207$	3.91398	+	3.99489i	0.272040	+	0.277664i
$208$	13.5506			0.939563
$209$	−4.53618	+	2.89367i	−0.313774	+	0.200159i
$210$	−4.66087	+	2.82350i	−0.321631	+	0.194840i
$211$	5.53373	+	6.14582i	0.380957	+	0.423096i	0.902877	−	0.429899i	$-0.141451\pi$
$211$	5.53373	+	6.14582i	0.380957	+	0.423096i	−0.521920	+	0.852995i	$0.674784\pi$
$212$	−0.315242	−	2.99933i	−0.0216509	−	0.205995i
$213$	−5.67438	+	8.16647i	−0.388802	+	0.559557i
$214$	−0.530233	+	0.588884i	−0.0362460	+	0.0402552i
$215$	0.824482	+	2.53749i	0.0562292	+	0.173056i
$216$	3.10935	−	4.90348i	0.211565	−	0.333640i
$217$	−16.0308	+	11.6470i	−1.08824	+	0.790652i
$218$	4.84125	−	1.02904i	0.327891	−	0.0696953i
$219$	−0.147631	−	7.00740i	−0.00997600	−	0.473516i
$220$	−17.0464	+	2.55799i	−1.14927	+	0.172460i
$221$	8.31846	−	14.4080i	0.559560	−	0.969187i
$222$	−0.873878	−	3.72377i	−0.0586508	−	0.249923i
$223$	−6.71646	−	2.99036i	−0.449768	−	0.200249i	0.169337	−	0.985558i	$-0.445837\pi$
$223$	−6.71646	−	2.99036i	−0.449768	−	0.200249i	−0.619104	+	0.785309i	$0.712504\pi$
$224$	10.6711	+	7.75301i	0.712993	+	0.518020i
$225$	−4.46813	+	5.40370i	−0.297875	+	0.360247i
$226$	0.0831507	+	0.255912i	0.00553110	+	0.0170230i
$227$	1.97989	−	18.8374i	0.131410	−	1.25028i	−0.707775	−	0.706438i	$-0.750301\pi$
$227$	1.97989	−	18.8374i	0.131410	−	1.25028i	0.839185	−	0.543846i	$-0.183032\pi$
$228$	5.34873	−	0.676358i	0.354228	−	0.0447929i
$229$	−5.25900	−	5.84071i	−0.347524	−	0.385965i	0.543888	−	0.839158i	$-0.316952\pi$
$229$	−5.25900	−	5.84071i	−0.347524	−	0.385965i	−0.891412	+	0.453193i	$0.850285\pi$
$230$	0.719959	−	1.24701i	0.0474727	−	0.0822251i
$231$	20.7100	−	10.8919i	1.36262	−	0.716637i
$232$	1.98527	+	3.43859i	0.130339	+	0.225754i
$233$	−2.03006	+	6.24789i	−0.132994	+	0.409313i	−0.995273	−	0.0971212i	$-0.969037\pi$
$233$	−2.03006	+	6.24789i	−0.132994	+	0.409313i	0.862279	+	0.506434i	$0.169037\pi$
$234$	2.58121	−	2.04686i	0.168739	−	0.133807i
$235$	−12.8556	−	9.34013i	−0.838606	−	0.609283i
$236$	−14.5878	+	16.2014i	−0.949584	+	1.05462i
$237$	−5.61252	−	4.84341i	−0.364572	−	0.314613i
$238$	4.58412	−	2.04098i	0.297144	−	0.132297i
$239$	2.67031	+	25.4063i	0.172728	+	1.64340i	0.646617	+	0.762815i	$0.276183\pi$
$239$	2.67031	+	25.4063i	0.172728	+	1.64340i	−0.473889	+	0.880585i	$0.657150\pi$
$240$	15.8048	+	4.76966i	1.02019	+	0.307880i
$241$	1.49099	+	2.58247i	0.0960432	+	0.166352i	0.910044	−	0.414513i	$-0.136048\pi$
$241$	1.49099	+	2.58247i	0.0960432	+	0.166352i	−0.814000	+	0.580864i	$0.802715\pi$
$242$	−3.12437	+	0.277103i	−0.200842	+	0.0178129i
$243$	1.63880	+	15.5021i	0.105129	+	0.994459i
$244$	5.10344	−	15.7068i	0.326714	−	1.00552i
$245$	23.7360	+	10.5680i	1.51644	+	0.675163i
$246$	1.93672	−	2.78729i	0.123481	−	0.177711i
$247$	6.11086	+	1.29890i	0.388825	+	0.0826473i
$248$	−5.31695	−	1.13015i	−0.337627	−	0.0717647i
$249$	11.2193	+	0.940744i	0.710993	+	0.0596172i
$250$	−1.87888	−	0.836532i	−0.118831	−	0.0529070i
$251$	3.60577	−	11.0974i	0.227594	−	0.700463i	−0.770424	−	0.637532i	$-0.779955\pi$
$251$	3.60577	−	11.0974i	0.227594	−	0.700463i	0.998018	−	0.0629308i	$-0.0200447\pi$
$252$	−23.4256	+	0.987495i	−1.47567	+	0.0622064i
$253$	−3.40953	+	5.15792i	−0.214355	+	0.324276i
$254$	−0.349364	−	0.605116i	−0.0219211	−	0.0379684i
$255$	14.7738	−	13.8768i	0.925168	−	0.869001i
$256$	−1.03320	−	9.83028i	−0.0645752	−	0.614392i
$257$	18.9327	−	8.42939i	1.18099	−	0.525811i	0.280148	−	0.959957i	$-0.409616\pi$
$257$	18.9327	−	8.42939i	1.18099	−	0.525811i	0.900843	+	0.434146i	$0.142950\pi$
$258$	0.0910993	−	0.477873i	0.00567159	−	0.0297511i
$259$	−21.1083	+	23.4432i	−1.31161	+	1.45669i
$260$	16.1919	+	11.7641i	1.00418	+	0.729578i
$261$	−9.91240	−	3.92182i	−0.613562	−	0.242755i
$262$	0.352231	−	1.08406i	0.0217609	−	0.0669732i
$263$	−4.54273	−	7.86823i	−0.280117	−	0.485176i	0.691297	−	0.722571i	$-0.257040\pi$
$263$	−4.54273	−	7.86823i	−0.280117	−	0.485176i	−0.971413	+	0.237395i	$0.923706\pi$
$264$	6.02193	+	2.22267i	0.370624	+	0.136796i
$265$	2.12883	−	3.68724i	0.130773	−	0.226505i
$266$	1.26084	+	1.40031i	0.0773073	+	0.0858585i
$267$	−9.70113	−	12.7776i	−0.593700	−	0.781974i
$268$	−0.349083	+	3.32131i	−0.0213237	+	0.202881i
$269$	2.45399	+	7.55261i	0.149623	+	0.460491i	0.997576	−	0.0695792i	$-0.0221656\pi$
$269$	2.45399	+	7.55261i	0.149623	+	0.460491i	−0.847954	+	0.530070i	$0.822166\pi$
$270$	3.73109	−	1.47881i	0.227067	−	0.0899973i
$271$	−3.01249	−	2.18870i	−0.182995	−	0.132954i	0.492516	−	0.870303i	$-0.336077\pi$
$271$	−3.01249	−	2.18870i	−0.182995	−	0.132954i	−0.675512	+	0.737349i	$0.736077\pi$
$272$	−13.8875	−	6.18310i	−0.842052	−	0.374906i
$273$	−26.0107	−	7.84966i	−1.57424	−	0.475083i
$274$	−0.155300	+	0.268987i	−0.00938201	+	0.0162501i
$275$	−6.87801	−	3.57526i	−0.414760	−	0.215596i
$276$	5.29890	−	3.21000i	0.318956	−	0.193219i
$277$	3.81540	−	0.810988i	0.229245	−	0.0487275i	−0.0918567	−	0.995772i	$-0.529280\pi$
$277$	3.81540	−	0.810988i	0.229245	−	0.0487275i	0.321102	+	0.947045i	$0.395947\pi$
$278$	−0.665523	+	0.483531i	−0.0399154	+	0.0290003i
$279$	13.0702	−	6.49206i	0.782495	−	0.388670i
$280$	3.80987	+	11.7256i	0.227684	+	0.700738i
$281$	0.0265130	−	0.0294457i	0.00158163	−	0.00175658i	−0.742353	−	0.670008i	$-0.766290\pi$
$281$	0.0265130	−	0.0294457i	0.00158163	−	0.00175658i	0.743935	+	0.668252i	$0.232957\pi$
$282$	1.23394	+	2.62144i	0.0734803	+	0.156105i
$283$	−0.668341	−	6.35884i	−0.0397288	−	0.377994i	−0.996263	−	0.0863734i	$-0.972472\pi$
$283$	−0.668341	−	6.35884i	−0.0397288	−	0.377994i	0.956534	−	0.291621i	$-0.0941945\pi$
$284$	7.37107	+	8.18641i	0.437393	+	0.485774i
$285$	6.67024	+	3.66595i	0.395111	+	0.217152i
$286$	2.81161	+	2.31490i	0.166254	+	0.136883i
$287$	−27.9925			−1.65235
$288$	−6.79859	−	6.93914i	−0.400611	−	0.408893i
$289$	−1.34634	+	0.978174i	−0.0791965	+	0.0575397i
$290$	−0.286886	+	2.72954i	−0.0168465	+	0.160284i
$291$	−9.72018	−	8.38819i	−0.569807	−	0.491724i
$292$	−7.59455	−	1.61427i	−0.444438	−	0.0944681i
$293$	−21.3837	+	9.52066i	−1.24925	+	0.556203i	−0.921433	−	0.388538i	$-0.872980\pi$
$293$	−21.3837	+	9.52066i	−1.24925	+	0.556203i	−0.327819	+	0.944741i	$0.606314\pi$
$294$	−2.86471	−	3.77316i	−0.167073	−	0.220055i
$295$	−30.1054	+	6.39910i	−1.75280	+	0.372570i
$296$	−8.65375			−0.502989
$297$	−16.3757	+	5.36981i	−0.950217	+	0.311588i
$298$	5.75282			0.333252
$299$	7.02221	−	1.49262i	0.406105	−	0.0863202i
$300$	4.69683	+	6.18630i	0.271172	+	0.357166i
$301$	−3.66533	+	1.63191i	−0.211266	+	0.0940616i
$302$	3.08994	+	0.656788i	0.177806	+	0.0377939i
$303$	−17.9878	−	15.5228i	−1.03337	−	0.891763i
$304$	0.596696	−	5.67718i	0.0342229	−	0.325609i
$305$	18.8625	−	13.7044i	1.08007	−	0.784713i
$306$	−3.57937	+	0.919948i	−0.204619	+	0.0525899i
$307$	29.1494			1.66365			0.831823	−	0.555042i	$-0.187298\pi$
$307$	29.1494			1.66365			0.831823	+	0.555042i	$0.187298\pi$
$308$	−6.50506	−	25.0915i	−0.370660	−	1.42972i
$309$	−7.70376	−	4.23397i	−0.438252	−	0.240862i
$310$	−2.51417	−	2.79227i	−0.142795	−	0.158590i
$311$	2.05981	+	19.5978i	0.116801	+	1.11129i	0.883224	+	0.468952i	$0.155368\pi$
$311$	2.05981	+	19.5978i	0.116801	+	1.11129i	−0.766423	+	0.642337i	$0.777965\pi$
$312$	−3.17422	−	6.74345i	−0.179705	−	0.381772i
$313$	0.895549	−	0.994608i	0.0506194	−	0.0562185i	−0.717303	−	0.696761i	$-0.754624\pi$
$313$	0.895549	−	0.994608i	0.0506194	−	0.0562185i	0.767923	+	0.640542i	$0.221290\pi$
$314$	0.0293235	+	0.0902485i	0.00165482	+	0.00509302i
$315$	−27.5747	−	18.3110i	−1.55366	−	1.03171i
$316$	−6.64387	+	4.82706i	−0.373747	+	0.271543i
$317$	−3.91346	+	0.831832i	−0.219802	+	0.0467203i	−0.316496	−	0.948594i	$-0.602506\pi$
$317$	−3.91346	+	0.831832i	−0.219802	+	0.0467203i	0.0966942	+	0.995314i	$0.469173\pi$
$318$	−0.663980	+	0.402230i	−0.0372342	+	0.0225560i
$319$	1.93817	−	11.6246i	0.108517	−	0.650855i
$320$	8.28080	−	14.3428i	0.462911	−	0.801785i
$321$	−4.60806	−	1.39065i	−0.257197	−	0.0776184i
$322$	1.97812	+	0.880714i	0.110236	+	0.0490803i
$323$	−5.67011	−	4.11958i	−0.315493	−	0.229219i
$324$	17.1331	+	2.15600i	0.951838	+	0.119778i
$325$	2.78134	+	8.56008i	0.154281	+	0.474828i
$326$	−0.397555	+	3.78248i	−0.0220185	+	0.209492i
$327$	18.1794	+	23.9444i	1.00532	+	1.32413i
$328$	−5.13825	−	5.70660i	−0.283712	−	0.315094i
$329$	11.9478	−	20.6942i	0.658704	−	1.14091i
$330$	2.46452	+	3.68965i	0.135667	+	0.203109i
$331$	−1.59017	−	2.75425i	−0.0874034	−	0.151387i	0.819009	−	0.573780i	$-0.194524\pi$
$331$	−1.59017	−	2.75425i	−0.0874034	−	0.151387i	−0.906413	+	0.422393i	$0.861190\pi$
$332$	3.85401	−	11.8614i	0.211516	−	0.650980i
$333$	18.2044	−	14.4358i	0.997596	−	0.791078i
$334$	4.36353	+	3.17029i	0.238762	+	0.173471i
$335$	−3.15477	+	3.50372i	−0.172363	+	0.191429i
$336$	−4.64891	+	24.3864i	−0.253619	+	1.33039i
$337$	−16.6245	+	7.40171i	−0.905595	+	0.403197i	−0.806058	−	0.591837i	$-0.798403\pi$
$337$	−16.6245	+	7.40171i	−0.905595	+	0.403197i	−0.0995376	+	0.995034i	$0.531736\pi$
$338$	−0.0545411	−	0.518924i	−0.00296665	−	0.0282258i
$339$	−1.19133	+	1.11901i	−0.0647043	+	0.0607761i
$340$	−11.2265	−	19.4449i	−0.608844	−	1.05455i
$341$	10.0512	+	12.6206i	0.544303	+	0.683445i
$342$	−0.743895	−	1.17156i	−0.0402252	−	0.0633510i
$343$	−3.26270	+	10.0416i	−0.176169	+	0.542193i
$344$	−1.00548	−	0.447669i	−0.0542120	−	0.0241367i
$345$	8.71578	+	0.730824i	0.469242	+	0.0393462i
$346$	0.422305	+	0.0897637i	0.0227033	+	0.00482573i
$347$	26.8150	+	5.69971i	1.43951	+	0.305977i	0.860543	−	0.509377i	$-0.170124\pi$
$347$	26.8150	+	5.69971i	1.43951	+	0.305977i	0.578963	+	0.815354i	$0.303457\pi$
$348$	−6.73823	+	9.69754i	−0.361207	+	0.519843i
$349$	20.9252	+	9.31652i	1.12010	+	0.498702i	0.881390	−	0.472389i	$-0.156608\pi$
$349$	20.9252	+	9.31652i	1.12010	+	0.498702i	0.238712	+	0.971090i	$0.423275\pi$
$350$	−0.838893	+	2.58185i	−0.0448407	+	0.138006i
$351$	17.9266	+	8.89072i	0.956849	+	0.474552i
$352$	5.92237	−	8.95933i	0.315663	−	0.477534i
$353$	14.8524	+	25.7250i	0.790511	+	1.36921i	0.925651	+	0.378379i	$0.123518\pi$
$353$	14.8524	+	25.7250i	0.790511	+	1.36921i	−0.135140	+	0.990827i	$0.543148\pi$
$354$	5.37252	+	1.62135i	0.285546	+	0.0861738i
$355$	1.62561	+	15.4666i	0.0862783	+	0.820883i
$356$	−16.2353	+	7.22842i	−0.860469	+	0.383105i
$357$	23.0756	+	19.9135i	1.22129	+	1.05393i
$358$	2.51653	−	2.79489i	0.133003	−	0.147714i
$359$	29.8183	+	21.6643i	1.57375	+	1.14340i	0.923450	+	0.383718i	$0.125356\pi$
$359$	29.8183	+	21.6643i	1.57375	+	1.14340i	0.650299	+	0.759678i	$0.274644\pi$
$360$	−1.32865	−	8.98255i	−0.0700258	−	0.473422i
$361$	−5.05804	+	15.5670i	−0.266213	+	0.819318i
$362$	−0.399041	−	0.691159i	−0.0209731	−	0.0363265i
$363$	−9.60544	−	16.4540i	−0.504155	−	0.863613i
$364$	−15.0485	+	26.0648i	−0.788756	+	1.36617i
$365$	−7.33449	−	8.14578i	−0.383905	−	0.426370i
$366$	−4.21757	+	0.533321i	−0.220456	+	0.0278772i
$367$	2.59864	−	24.7244i	0.135648	−	1.29061i	−0.688918	−	0.724839i	$-0.741914\pi$
$367$	2.59864	−	24.7244i	0.135648	−	1.29061i	0.824566	−	0.565766i	$-0.191419\pi$
$368$	−2.02708	−	6.23872i	−0.105669	−	0.325216i
$369$	20.3286	+	3.43326i	1.05826	+	0.178729i
$370$	−4.83936	−	3.51600i	−0.251586	−	0.182788i
$371$	5.84904	+	2.60416i	0.303667	+	0.135201i
$372$	−3.69350	−	15.7388i	−0.191499	−	0.816017i
$373$	−9.13952	+	15.8301i	−0.473227	+	0.819653i	−0.999530	−	0.0306440i	$-0.990244\pi$
$373$	−9.13952	+	15.8301i	−0.473227	+	0.819653i	0.526304	+	0.850297i	$0.323578\pi$
$374$	−1.82523	−	3.65539i	−0.0943805	−	0.189016i
$375$	−0.263138	−	12.4900i	−0.0135884	−	0.644981i
$376$	6.41186	−	1.36288i	0.330667	−	0.0702853i
$377$	−11.0704	+	8.04312i	−0.570155	+	0.414242i
$378$	2.79810	+	5.34754i	0.143919	+	0.275048i
$379$	−9.72145	−	29.9196i	−0.499357	−	1.53686i	−0.810054	−	0.586355i	$-0.800562\pi$
$379$	−9.72145	−	29.9196i	−0.499357	−	1.53686i	0.310697	−	0.950509i	$-0.399438\pi$
$380$	5.64172	−	6.26577i	0.289414	−	0.321427i
$381$	2.42181	−	3.48543i	0.124073	−	0.178564i
$382$	0.499001	+	4.74767i	0.0255311	+	0.242912i
$383$	−8.31848	−	9.23861i	−0.425054	−	0.472071i	0.492137	−	0.870518i	$-0.336216\pi$
$383$	−8.31848	−	9.23861i	−0.425054	−	0.472071i	−0.917191	+	0.398447i	$0.869549\pi$
$384$	−12.1770	+	7.37668i	−0.621407	+	0.376440i
$385$	13.3915	−	34.0559i	0.682495	−	1.73565i
$386$	−6.28449			−0.319872
$387$	2.86196	−	0.735564i	0.145482	−	0.0373908i
$388$	−11.5064	+	8.35986i	−0.584147	+	0.424408i
$389$	−0.765115	+	7.27958i	−0.0387929	+	0.369090i	0.957853	+	0.287258i	$0.0927437\pi$
$389$	−0.765115	+	7.27958i	−0.0387929	+	0.369090i	−0.996646	+	0.0818317i	$0.973923\pi$
$390$	0.964756	−	5.06075i	0.0488523	−	0.256261i
$391$	−7.87788	−	1.67449i	−0.398401	−	0.0846829i
$392$	−9.79160	+	4.35950i	−0.494551	+	0.220188i
$393$	6.86895	−	0.868594i	0.346493	−	0.0438148i
$394$	−5.08317	+	1.08046i	−0.256087	+	0.0544329i
$395$	−11.5938			−0.583346
$396$	1.64661	+	19.0196i	0.0827455	+	0.955770i
$397$	34.2087			1.71688			0.858442	−	0.512911i	$-0.171433\pi$
$397$	34.2087			1.71688			0.858442	+	0.512911i	$0.171433\pi$
$398$	6.99965	−	1.48782i	0.350861	−	0.0745777i
$399$	−4.43409	+	10.5519i	−0.221982	+	0.528254i
$400$	7.51315	−	3.34507i	0.375658	−	0.167254i
$401$	−7.31241	−	1.55430i	−0.365164	−	0.0776181i	0.0216754	−	0.999765i	$-0.493100\pi$
$401$	−7.31241	−	1.55430i	−0.365164	−	0.0776181i	−0.386840	+	0.922147i	$0.626433\pi$
$402$	0.811798	−	0.282808i	0.0404888	−	0.0141052i
$403$	1.95817	−	18.6307i	0.0975432	−	0.928061i
$404$	−21.2932	+	15.4704i	−1.05938	+	0.769682i
$405$	17.7793	+	16.6797i	0.883461	+	0.828821i
$406$	−4.12723			−0.204831
$407$	19.8294	+	16.3262i	0.982904	+	0.809260i
$408$	0.176117	+	8.35950i	0.00871910	+	0.413857i
$409$	1.61274	+	1.79113i	0.0797447	+	0.0885655i	0.781697	−	0.623659i	$-0.214355\pi$
$409$	1.61274	+	1.79113i	0.0797447	+	0.0885655i	−0.701952	+	0.712224i	$0.747688\pi$
$410$	−0.554835	−	5.27891i	−0.0274014	−	0.260707i
$411$	−1.88005	−	0.157643i	−0.0927360	−	0.00777598i
$412$	−6.51588	+	7.23662i	−0.321014	+	0.356522i
$413$	−14.3023	−	44.0180i	−0.703771	−	2.16598i
$414$	−1.32851	−	0.882200i	−0.0652929	−	0.0433578i
$415$	14.2446	−	10.3493i	0.699239	−	0.508027i
$416$	−12.1976	+	2.59268i	−0.598037	+	0.127117i
$417$	−4.37905	−	2.40672i	−0.214443	−	0.117857i
$418$	1.09366	−	1.07602i	0.0534929	−	0.0526301i
$419$	5.60088	−	9.70101i	0.273621	−	0.473925i	−0.696165	−	0.717881i	$-0.745112\pi$
$419$	5.60088	−	9.70101i	0.273621	−	0.473925i	0.969786	+	0.243956i	$0.0784453\pi$
$420$	−26.7265	+	25.1039i	−1.30412	+	1.22494i
$421$	−6.30791	−	2.80846i	−0.307429	−	0.136876i	0.247223	−	0.968959i	$-0.420482\pi$
$421$	−6.30791	−	2.80846i	−0.307429	−	0.136876i	−0.554652	+	0.832083i	$0.687149\pi$
$422$	−1.90781	−	1.38611i	−0.0928708	−	0.0674746i
$423$	−11.2148	+	13.5630i	−0.545281	+	0.659456i
$424$	0.542748	+	1.67041i	0.0263582	+	0.0811222i
$425$	1.05546	−	10.0420i	0.0511974	−	0.487110i
$426$	1.09853	−	2.61418i	0.0532238	−	0.126657i
$427$	23.4605	+	26.0555i	1.13533	+	1.26091i
$428$	−2.66600	+	4.61765i	−0.128866	+	0.223202i
$429$	−5.44875	+	21.4405i	−0.263068	+	1.03516i
$430$	−0.380399	−	0.658871i	−0.0183445	−	0.0317736i
$431$	−9.01729	+	27.7524i	−0.434348	+	1.33678i	0.459406	+	0.888226i	$0.348062\pi$
$431$	−9.01729	+	27.7524i	−0.434348	+	1.33678i	−0.893754	+	0.448558i	$0.851938\pi$
$432$	6.36707	−	17.1396i	0.306336	−	0.824627i
$433$	29.5582	+	21.4753i	1.42048	+	1.03204i	0.991693	+	0.128630i	$0.0410581\pi$
$433$	29.5582	+	21.4753i	1.42048	+	1.03204i	0.428785	+	0.903407i	$0.358942\pi$
$434$	3.78075	−	4.19895i	0.181482	−	0.201556i
$435$	−15.7431	+	5.48447i	−0.754825	+	0.262960i
$436$	30.4240	−	13.5457i	1.45705	−	0.648719i
$437$	−0.316129	−	3.00777i	−0.0151225	−	0.143881i
$438$	0.456616	+	1.94573i	0.0218179	+	0.0929707i
$439$	10.7487	+	18.6173i	0.513009	+	0.888557i	0.999886	+	0.0150869i	$0.00480250\pi$
$439$	10.7487	+	18.6173i	0.513009	+	0.888557i	−0.486877	+	0.873470i	$0.661864\pi$
$440$	9.40081	−	3.52121i	0.448166	−	0.167867i
$441$	13.3257	−	25.5048i	0.634558	−	1.21451i
$442$	−1.46597	+	4.51180i	−0.0697293	+	0.214605i
$443$	−30.5535	−	13.6033i	−1.45164	−	0.646313i	−0.478830	−	0.877908i	$-0.658939\pi$
$443$	−30.5535	−	13.6033i	−1.45164	−	0.646313i	−0.972812	+	0.231595i	$0.925605\pi$
$444$	−10.9611	−	23.2862i	−0.520191	−	1.10512i
$445$	−24.5412	−	5.21639i	−1.16336	−	0.247281i
$446$	2.05062	+	0.435873i	0.0970998	+	0.0206392i
$447$	14.8822	+	31.6163i	0.703902	+	1.49540i
$448$	22.7518	+	10.1298i	1.07492	+	0.478586i
$449$	12.2165	−	37.5984i	0.576530	−	1.77438i	−0.0543777	−	0.998520i	$-0.517318\pi$
$449$	12.2165	−	37.5984i	0.576530	−	1.77438i	0.630908	−	0.775858i	$-0.282682\pi$
$450$	0.925876	−	1.77208i	0.0436462	−	0.0835367i
$451$	1.00777	+	22.7700i	0.0474540	+	1.07220i
$452$	0.905290	+	1.56801i	0.0425813	+	0.0737529i
$453$	4.38392	+	18.6808i	0.205974	+	0.877699i
$454$	0.564564	+	5.37146i	0.0264963	+	0.252095i
$455$	−38.8164	+	17.2822i	−1.81974	+	0.810201i
$456$	−2.96503	+	1.03293i	−0.138850	+	0.0483716i
$457$	25.1006	−	27.8771i	1.17416	−	1.30404i	0.230516	−	0.973069i	$-0.425959\pi$
$457$	25.1006	−	27.8771i	1.17416	−	1.30404i	0.943642	−	0.330967i	$-0.107375\pi$
$458$	1.81309	+	1.31729i	0.0847204	+	0.0615529i
$459$	−14.3154	−	17.2916i	−0.668188	−	0.807104i
$460$	2.99402	−	9.21464i	0.139597	−	0.429635i
$461$	−9.68265	−	16.7708i	−0.450966	−	0.781096i	0.547480	−	0.836818i	$-0.315587\pi$
$461$	−9.68265	−	16.7708i	−0.450966	−	0.781096i	−0.998446	+	0.0557228i	$0.982254\pi$
$462$	−5.13063	+	4.26576i	−0.238699	+	0.198461i
$463$	7.17464	−	12.4268i	0.333434	−	0.577524i	−0.649749	−	0.760149i	$-0.725126\pi$
$463$	7.17464	−	12.4268i	0.333434	−	0.577524i	0.983183	+	0.182625i	$0.0584594\pi$
$464$	8.36637	+	9.29180i	0.388399	+	0.431361i
$465$	8.84174	−	21.0408i	0.410026	−	0.975743i
$466$	0.195809	−	1.86300i	0.00907067	−	0.0863017i
$467$	−6.89755	−	21.2285i	−0.319180	−	0.982336i	−0.973999	−	0.226551i	$-0.927255\pi$
$467$	−6.89755	−	21.2285i	−0.319180	−	0.982336i	0.654819	−	0.755786i	$-0.272745\pi$
$468$	14.1253	−	17.0829i	0.652940	−	0.789657i
$469$	−5.73585	−	4.16734i	−0.264857	−	0.192430i
$470$	4.13938	+	1.84297i	0.190935	+	0.0850099i
$471$	−0.420129	+	0.394623i	−0.0193585	+	0.0181833i
$472$	6.34827	−	10.9955i	0.292203	−	0.506110i
$473$	1.45940	+	2.92274i	0.0671034	+	0.134388i
$474$	1.85257	+	1.01817i	0.0850915	+	0.0467660i
$475$	3.70883	−	0.788336i	0.170173	−	0.0361714i
$476$	27.3160	−	19.8462i	1.25203	−	0.909651i
$477$	−3.92825	−	2.60856i	−0.179862	−	0.119438i
$478$	−2.25103	−	6.92795i	−0.102960	−	0.316877i
$479$	−15.5651	+	17.2868i	−0.711186	+	0.789852i	−0.985115	−	0.171898i	$-0.945010\pi$
$479$	−15.5651	+	17.2868i	−0.711186	+	0.789852i	0.273929	+	0.961750i	$0.411677\pi$
$480$	−15.1393	−	1.26944i	−0.691013	−	0.0579419i
$481$	−3.11742	−	29.6603i	−0.142142	−	1.35239i
$482$	−0.568967	−	0.631902i	−0.0259157	−	0.0287823i
$483$	0.277036	+	13.1497i	0.0126056	+	0.598331i
$484$	−20.1760	+	6.19475i	−0.917091	+	0.281580i
$485$	−20.0790			−0.911740
$486$	−1.37614	−	4.22664i	−0.0624231	−	0.191724i
$487$	−0.219083	+	0.159173i	−0.00992760	+	0.00721282i	−0.592738	−	0.805395i	$-0.701953\pi$
$487$	−0.219083	+	0.159173i	−0.00992760	+	0.00721282i	0.582810	+	0.812608i	$0.301953\pi$
$488$	−1.00536	+	9.56538i	−0.0455106	+	0.433004i
$489$	−21.8162	+	7.60017i	−0.986563	+	0.343691i
$490$	−7.24692	−	1.54038i	−0.327382	−	0.0695873i
$491$	−3.84288	+	1.71096i	−0.173427	+	0.0772146i	−0.491614	−	0.870813i	$-0.663593\pi$
$491$	−3.84288	+	1.71096i	−0.173427	+	0.0772146i	0.318187	+	0.948028i	$0.396926\pi$
$492$	8.84753	−	21.0546i	0.398878	−	0.949213i
$493$	15.0157	−	3.19169i	0.676274	−	0.143746i
$494$	−1.78143			−0.0801504
$495$	−13.9020	+	23.0894i	−0.624850	+	1.03779i
$496$	−17.1173			−0.768589
$497$	−22.8754	+	4.86233i	−1.02610	+	0.218105i
$498$	−3.18502	+	0.402753i	−0.142724	+	0.0180478i
$499$	−14.0359	+	6.24920i	−0.628334	+	0.279752i	−0.696096	−	0.717949i	$-0.745081\pi$
$499$	−14.0359	+	6.24920i	−0.628334	+	0.279752i	0.0677612	+	0.997702i	$0.478414\pi$
$500$	−13.5365	−	2.87728i	−0.605373	−	0.128676i
$501$	−6.13510	+	32.1824i	−0.274096	+	1.43781i
$502$	−0.347793	+	3.30903i	−0.0155228	+	0.147689i
$503$	−3.16786	+	2.30159i	−0.141248	+	0.102623i	−0.656165	−	0.754617i	$-0.727823\pi$
$503$	−3.16786	+	2.30159i	−0.141248	+	0.102623i	0.514917	+	0.857240i	$0.327823\pi$
$504$	13.2249	−	3.39899i	0.589085	−	0.151403i
$505$	−37.1573			−1.65348
$506$	0.645186	−	1.64077i	0.0286820	−	0.0729411i
$507$	2.71081	−	1.64217i	0.120391	−	0.0729314i
$508$	−3.14596	−	3.49394i	−0.139579	−	0.155019i
$509$	−2.98422	−	28.3930i	−0.132273	−	1.25850i	−0.836280	−	0.548303i	$-0.815274\pi$
$509$	−2.98422	−	28.3930i	−0.132273	−	1.25850i	0.704006	−	0.710194i	$-0.251393\pi$
$510$	−3.29796	+	4.74636i	−0.146036	+	0.210172i
$511$	11.0295	−	12.2494i	0.487914	−	0.541884i
$512$	5.95109	+	18.3156i	0.263004	+	0.809442i
$513$	4.51427	−	7.11906i	0.199310	−	0.314314i
$514$	−4.78092	+	3.47354i	−0.210877	+	0.153211i
$515$	−13.4471	+	2.85826i	−0.592549	+	0.125950i
$516$	−0.0689482	−	3.27266i	−0.00303528	−	0.144071i
$517$	−17.2635	−	8.97371i	−0.759246	−	0.394663i
$518$	4.49763	−	7.79012i	0.197615	−	0.342278i
$519$	0.599153	+	2.55312i	0.0262999	+	0.112069i
$520$	−10.6482	−	4.74089i	−0.466955	−	0.207902i
$521$	11.5485	+	8.39049i	0.505950	+	0.367594i	0.811285	−	0.584651i	$-0.198768\pi$
$521$	11.5485	+	8.39049i	0.505950	+	0.367594i	−0.305335	+	0.952245i	$0.598768\pi$
$522$	2.99725	+	0.506201i	0.131186	+	0.0221558i
$523$	−10.2462	−	31.5345i	−0.448034	−	1.37891i	−0.879122	−	0.476597i	$-0.841870\pi$
$523$	−10.2462	−	31.5345i	−0.448034	−	1.37891i	0.431088	−	0.902310i	$-0.358130\pi$
$524$	0.801704	−	7.62771i	0.0350226	−	0.333218i
$525$	−16.3595	+	2.06869i	−0.713986	+	0.0902850i
$526$	1.73352	+	1.92527i	0.0755850	+	0.0839456i
$527$	−10.5080	+	18.2004i	−0.457736	+	0.792822i
$528$	20.0041	+	2.90362i	0.870565	+	0.126364i
$529$	9.76231	+	16.9088i	0.424448	+	0.735166i
$530$	−0.375166	+	1.15464i	−0.0162962	+	0.0501545i
$531$	4.98775	+	33.7206i	0.216450	+	1.46335i
$532$	10.2575	+	7.45252i	0.444720	+	0.323108i
$533$	17.7081	−	19.6668i	0.767023	−	0.851865i
$534$	3.46334	+	2.98874i	0.149873	+	0.129336i
$535$	−6.87672	+	3.06171i	−0.297307	+	0.132369i
$536$	−0.203299	−	1.93427i	−0.00878120	−	0.0835475i
$537$	21.8702	+	6.60013i	0.943770	+	0.284816i
$538$	−1.13222	−	1.96107i	−0.0488136	−	0.0845476i
$539$	30.6613	+	8.48344i	1.32068	+	0.365407i
$540$	22.4881	−	14.9528i	0.967733	−	0.643466i
$541$	−8.79490	+	27.0679i	−0.378122	+	1.16374i	0.563226	+	0.826303i	$0.309560\pi$
$541$	−8.79490	+	27.0679i	−0.378122	+	1.16374i	−0.941348	+	0.337437i	$0.890440\pi$
$542$	0.969992	+	0.431868i	0.0416647	+	0.0185503i
$543$	2.76618	−	3.98103i	0.118708	−	0.170842i
$544$	13.6839	+	2.90860i	0.586693	+	0.124705i
$545$	45.9888	+	9.77523i	1.96995	+	0.418725i
$546$	7.72020	+	0.647344i	0.330394	+	0.0277038i
$547$	−28.0884	−	12.5058i	−1.20098	−	0.534709i	−0.293965	−	0.955816i	$-0.594975\pi$
$547$	−28.0884	−	12.5058i	−1.20098	−	0.534709i	−0.907011	+	0.421108i	$0.861641\pi$
$548$	−0.645829	+	1.98766i	−0.0275884	+	0.0849085i
$549$	−13.8416	−	21.7993i	−0.590746	−	0.930370i
$550$	2.13036	+	0.589432i	0.0908388	+	0.0251335i
$551$	2.88228	+	4.99226i	0.122789	+	0.212678i
$552$	−2.62986	+	2.47020i	−0.111934	+	0.105139i
$553$	−1.82240	−	17.3390i	−0.0774963	−	0.737328i
$554$	−1.01610	+	0.452397i	−0.0431700	+	0.0192205i
$555$	6.80410	−	35.6918i	0.288818	−	1.51503i
$556$	−3.70382	+	4.11351i	−0.157077	+	0.174452i
$557$	5.90145	+	4.28765i	0.250052	+	0.181674i	0.705750	−	0.708461i	$-0.250610\pi$
$557$	5.90145	+	4.28765i	0.250052	+	0.181674i	−0.455698	+	0.890135i	$0.650610\pi$
$558$	−3.26063	+	2.58563i	−0.138033	+	0.109458i
$559$	1.17215	−	3.60751i	0.0495767	−	0.152581i
$560$	19.4122	+	33.6230i	0.820316	+	1.42083i
$561$	15.3675	−	19.4874i	0.648817	−	0.822757i
$562$	−0.00564923	+	0.00978475i	−0.000238298	+	0.000412745i
$563$	−24.4724	−	27.1794i	−1.03139	−	1.14547i	−0.989231	−	0.146363i	$-0.953243\pi$
$563$	−24.4724	−	27.1794i	−1.03139	−	1.14547i	−0.0421581	−	0.999111i	$-0.513423\pi$
$564$	11.7888	+	15.5273i	0.496399	+	0.653817i
$565$	−0.267186	+	2.54211i	−0.0112406	+	0.106947i
$566$	0.563400	+	1.73397i	0.0236815	+	0.0728841i
$567$	−22.1505	+	29.2115i	−0.930233	+	1.22677i
$568$	−5.19020	−	3.77090i	−0.217776	−	0.158224i
$569$	0.138387	+	0.0616140i	0.00580150	+	0.00258299i	0.409635	−	0.912249i	$-0.365656\pi$
$569$	0.138387	+	0.0616140i	0.00580150	+	0.00258299i	−0.403834	+	0.914832i	$0.632323\pi$
$570$	−2.07778	−	0.627046i	−0.0870288	−	0.0262641i
$571$	−21.6127	+	37.4343i	−0.904463	+	1.56658i	−0.0828262	+	0.996564i	$0.526395\pi$
$571$	−21.6127	+	37.4343i	−0.904463	+	1.56658i	−0.821637	+	0.570012i	$0.806939\pi$
$572$	21.7437	+	11.3026i	0.909150	+	0.472584i
$573$	−24.8014	+	15.0243i	−1.03609	+	0.627651i
$574$	7.80760	−	1.65956i	0.325883	−	0.0692686i
$575$	3.52502	−	2.56108i	0.147003	−	0.106804i
$576$	−15.2803	−	10.1469i	−0.636677	−	0.422786i
$577$	9.00017	+	27.6997i	0.374682	+	1.15315i	0.943693	+	0.330822i	$0.107326\pi$
$577$	9.00017	+	27.6997i	0.374682	+	1.15315i	−0.569011	+	0.822330i	$0.692674\pi$
$578$	0.317526	−	0.352648i	0.0132073	−	0.0146682i
$579$	−16.2576	−	34.5383i	−0.675642	−	1.43536i
$580$	1.93038	+	18.3664i	0.0801547	+	0.762621i
$581$	17.7169	+	19.6766i	0.735019	+	0.816322i
$582$	3.20842	+	1.76334i	0.132993	+	0.0730929i
$583$	1.90773	−	4.85155i	0.0790103	−	0.200931i
$584$	4.52173			0.187111
$585$	30.3086	−	7.78974i	1.25311	−	0.322066i
$586$	5.39985	−	3.92322i	0.223066	−	0.162067i
$587$	2.37226	−	22.5706i	0.0979137	−	0.931586i	−0.829741	−	0.558148i	$-0.811512\pi$
$587$	2.37226	−	22.5706i	0.0979137	−	0.931586i	0.927655	−	0.373438i	$-0.121821\pi$
$588$	−24.1332	−	20.8262i	−0.995238	−	0.858857i
$589$	−7.71934	−	1.64080i	−0.318070	−	0.0676078i
$590$	8.01754	−	3.56964i	0.330077	−	0.146960i
$591$	−19.0878	−	25.1410i	−0.785169	−	1.03416i
$592$	−26.6554	+	5.66579i	−1.09553	+	0.232863i
$593$	−22.9308			−0.941656			−0.470828	−	0.882225i	$-0.656045\pi$
$593$	−22.9308			−0.941656			−0.470828	+	0.882225i	$0.656045\pi$
$594$	4.24913	−	2.46858i	0.174344	−	0.101287i
$595$	47.6673			1.95417
$596$	37.8633	−	8.04810i	1.55094	−	0.329663i
$597$	26.2844	+	34.6197i	1.07575	+	1.41689i
$598$	−1.87012	+	0.832633i	−0.0764750	+	0.0340489i
$599$	12.2275	+	2.59904i	0.499603	+	0.106194i	0.450819	−	0.892615i	$-0.351132\pi$
$599$	12.2275	+	2.59904i	0.499603	+	0.106194i	0.0487841	+	0.998809i	$0.484465\pi$
$600$	−3.42463	−	2.95534i	−0.139810	−	0.120651i
$601$	−2.34968	+	22.3557i	−0.0958453	+	0.911907i	0.835921	+	0.548849i	$0.184934\pi$
$601$	−2.34968	+	22.3557i	−0.0958453	+	0.911907i	−0.931767	+	0.363058i	$0.881733\pi$
$602$	0.925574	−	0.672469i	0.0377236	−	0.0274078i
$603$	3.65433	+	3.72987i	0.148816	+	0.151892i
$604$	21.2559			0.864892
$605$	−28.1843	−	9.66704i	−1.14585	−	0.393021i
$606$	5.93738	+	3.26317i	0.241190	+	0.132557i
$607$	17.8690	+	19.8455i	0.725279	+	0.805504i	0.987183	−	0.159590i	$-0.0510173\pi$
$607$	17.8690	+	19.8455i	0.725279	+	0.805504i	−0.261905	+	0.965094i	$0.584351\pi$
$608$	0.549118	+	5.22451i	0.0222697	+	0.211882i
$609$	−10.6769	−	22.6824i	−0.432649	−	0.919137i
$610$	−4.44861	+	4.94068i	−0.180119	+	0.200042i
$611$	6.98102	+	21.4854i	0.282422	+	0.869205i
$612$	−22.2714	+	11.0623i	−0.900266	+	0.447167i
$613$	35.1797	−	25.5595i	1.42089	−	1.03234i	0.429269	−	0.903176i	$-0.358771\pi$
$613$	35.1797	−	25.5595i	1.42089	−	1.03234i	0.991623	−	0.129163i	$-0.0412289\pi$
$614$	−8.13027	+	1.72814i	−0.328111	+	0.0697422i
$615$	27.5765	−	16.7055i	1.11199	−	0.673629i
$616$	6.74380	+	13.5058i	0.271716	+	0.544164i
$617$	−20.7128	+	35.8756i	−0.833864	+	1.44430i	0.0610871	+	0.998132i	$0.480543\pi$
$617$	−20.7128	+	35.8756i	−0.833864	+	1.44430i	−0.894952	+	0.446163i	$0.852790\pi$
$618$	2.39972	+	0.724203i	0.0965311	+	0.0291317i
$619$	8.14129	+	3.62474i	0.327226	+	0.145690i	0.563773	−	0.825930i	$-0.309349\pi$
$619$	8.14129	+	3.62474i	0.327226	+	0.145690i	−0.236547	+	0.971620i	$0.576016\pi$
$620$	−20.4539	−	14.8606i	−0.821446	−	0.596816i
$621$	1.41161	−	9.58344i	0.0566460	−	0.384570i
$622$	−1.73638	−	5.34404i	−0.0696227	−	0.214277i
$623$	3.94375	−	37.5223i	0.158003	−	1.50330i
$624$	−14.1924	−	18.6931i	−0.568149	−	0.748321i
$625$	−20.8926	−	23.2036i	−0.835704	−	0.928144i
$626$	−0.190818	+	0.330506i	−0.00762662	+	0.0132097i
$627$	8.74285	+	3.22695i	0.349156	+	0.128872i
$628$	0.319255	+	0.552966i	0.0127397	+	0.0220657i
$629$	−10.3390	+	31.8202i	−0.412244	+	1.26876i
$630$	8.77665	+	3.47247i	0.349670	+	0.138346i
$631$	4.58752	+	3.33303i	0.182626	+	0.132686i	0.675342	−	0.737504i	$-0.263996\pi$
$631$	4.58752	+	3.33303i	0.182626	+	0.132686i	−0.492716	+	0.870190i	$0.663996\pi$
$632$	3.20023	−	3.55422i	0.127298	−	0.141379i
$633$	2.68237	−	14.0707i	0.106615	−	0.559260i
$634$	1.04222	−	0.464025i	0.0413917	−	0.0184288i
$635$	−0.693806	−	6.60113i	−0.0275329	−	0.261958i
$636$	−3.80741	+	3.57626i	−0.150974	+	0.141808i
$637$	−18.4693	−	31.9898i	−0.731780	−	1.26748i
$638$	0.148586	+	3.35722i	0.00588257	+	0.132914i
$639$	17.2088	−	0.725429i	0.680770	−	0.0286975i
$640$	−6.88034	+	21.1755i	−0.271970	+	0.837036i
$641$	24.4996	+	10.9079i	0.967678	+	0.430838i	0.828845	−	0.559478i	$-0.188998\pi$
$641$	24.4996	+	10.9079i	0.967678	+	0.430838i	0.138833	+	0.990316i	$0.455665\pi$
$642$	1.36771	+	0.114684i	0.0539793	+	0.00452620i
$643$	−13.8295	−	2.93955i	−0.545382	−	0.115925i	−0.0730222	−	0.997330i	$-0.523264\pi$
$643$	−13.8295	−	2.93955i	−0.545382	−	0.115925i	−0.472360	+	0.881406i	$0.656598\pi$
$644$	14.2515	+	3.02925i	0.561587	+	0.119369i
$645$	2.63695	−	3.79505i	0.103830	−	0.149430i
$646$	1.82572	+	0.812864i	0.0718321	+	0.0319817i
$647$	−0.393698	+	1.21168i	−0.0154779	+	0.0476360i	−0.958497	−	0.285102i	$-0.907973\pi$
$647$	−0.393698	+	1.21168i	−0.0154779	+	0.0476360i	0.943019	+	0.332738i	$0.107973\pi$
$648$	−10.0210	+	0.846365i	−0.393662	+	0.0332484i
$649$	−35.2907	+	13.2187i	−1.38528	+	0.518878i
$650$	−1.28325	−	2.22266i	−0.0503334	−	0.0871799i
$651$	32.8571	+	9.91582i	1.28777	+	0.388632i
$652$	2.67505	+	25.4514i	0.104763	+	0.996753i
$653$	−4.41090	+	1.96386i	−0.172612	+	0.0768517i	−0.491223	−	0.871034i	$-0.663450\pi$
$653$	−4.41090	+	1.96386i	−0.172612	+	0.0768517i	0.318612	+	0.947885i	$0.396783\pi$
$654$	−6.49010	−	5.60074i	−0.253783	−	0.219006i
$655$	7.24523	−	8.04664i	0.283094	−	0.314408i
$656$	−19.5632	−	14.2135i	−0.763813	−	0.554942i
$657$	−9.51212	+	7.54295i	−0.371103	+	0.294279i
$658$	−2.10558	+	6.48030i	−0.0820840	+	0.252628i
$659$	11.0889	+	19.2065i	0.431961	+	0.748178i	0.997042	−	0.0768574i	$-0.0244886\pi$
$659$	11.0889	+	19.2065i	0.431961	+	0.748178i	−0.565082	+	0.825035i	$0.691155\pi$
$660$	21.3825	+	20.8364i	0.832313	+	0.811055i
$661$	13.6987	−	23.7269i	0.532820	−	0.922871i	−0.466446	−	0.884550i	$-0.654466\pi$
$661$	13.6987	−	23.7269i	0.532820	−	0.922871i	0.999265	−	0.0383209i	$-0.0122009\pi$
$662$	0.606812	+	0.673933i	0.0235844	+	0.0261931i
$663$	−28.5883	+	3.61506i	−1.11028	+	0.140397i
$664$	−0.759228	+	7.22357i	−0.0294638	+	0.280329i
$665$	5.53132	+	17.0236i	0.214495	+	0.660148i
$666$	−4.22169	+	5.10566i	−0.163587	+	0.197840i
$667$	5.35915	+	3.89365i	0.207507	+	0.150763i
$668$	33.1547	+	14.7614i	1.28279	+	0.571136i
$669$	2.90936	+	12.3974i	0.112482	+	0.479310i
$670$	0.672198	−	1.16428i	0.0259693	−	0.0449801i
$671$	20.3498	−	20.0215i	0.785594	−	0.772923i
$672$	−0.481213	−	22.8410i	−0.0185632	−	0.881112i
$673$	−34.4734	+	7.32754i	−1.32885	+	0.282456i	−0.817010	−	0.576624i	$-0.804370\pi$
$673$	−34.4734	+	7.32754i	−1.32885	+	0.282456i	−0.511842	+	0.859080i	$0.671037\pi$
$674$	4.19805	−	3.05006i	0.161703	−	0.117484i
$675$	12.1342	+	0.504166i	0.467045	+	0.0194054i
$676$	−1.08494	−	3.33910i	−0.0417285	−	0.128427i
$677$	−29.4752	+	32.7355i	−1.13282	+	1.25813i	−0.170757	+	0.985313i	$0.554621\pi$
$677$	−29.4752	+	32.7355i	−1.13282	+	1.25813i	−0.962067	+	0.272815i	$0.912045\pi$
$678$	0.265942	−	0.382739i	0.0102134	−	0.0146990i
$679$	−3.15617	−	30.0289i	−0.121123	−	1.15240i
$680$	8.74970	+	9.71753i	0.335536	+	0.372650i
$681$	−28.0600	+	16.9984i	−1.07526	+	0.651379i
$682$	−3.55167	−	2.92422i	−0.136001	−	0.111974i
$683$	42.2845			1.61797			0.808985	−	0.587829i	$-0.200017\pi$
$683$	42.2845			1.61797			0.808985	+	0.587829i	$0.200017\pi$
$684$	−6.53510	−	6.67020i	−0.249876	−	0.255041i
$685$	−2.38701	+	1.73426i	−0.0912029	+	0.0662628i
$686$	0.314703	−	2.99420i	0.0120154	−	0.114319i
$687$	−2.54920	+	13.3721i	−0.0972580	+	0.510179i
$688$	−3.39020	−	0.720610i	−0.129250	−	0.0274730i
$689$	−5.52972	+	2.46199i	−0.210666	+	0.0937943i
$690$	−2.47431	+	0.312882i	−0.0941953	+	0.0119112i
$691$	8.28186	−	1.76036i	0.315057	−	0.0669674i	−0.0476694	−	0.998863i	$-0.515179\pi$
$691$	8.28186	−	1.76036i	0.315057	−	0.0669674i	0.362726	+	0.931896i	$0.381846\pi$
$692$	2.90507			0.110434
$693$	−36.7164	−	17.1617i	−1.39474	−	0.651918i
$694$	−7.81709			−0.296733
$695$	−7.64373	+	1.62472i	−0.289943	+	0.0616293i
$696$	2.66424	−	6.34013i	0.100988	−	0.240322i
$697$	−27.1223	+	12.0756i	−1.02733	+	0.457397i
$698$	−6.38874	−	1.35797i	−0.241818	−	0.0513999i
$699$	10.7452	−	3.74333i	0.406421	−	0.141586i
$700$	−1.90938	+	18.1666i	−0.0721678	+	0.686631i
$701$	−35.2342	+	25.5991i	−1.33078	+	0.966865i	−0.331046	+	0.943615i	$0.607401\pi$
$701$	−35.2342	+	25.5991i	−1.33078	+	0.966865i	−0.999730	+	0.0232503i	$0.992599\pi$
$702$	−5.52712	−	1.41699i	−0.208608	−	0.0534807i
$703$	−12.5638			−0.473854
$704$	7.42078	−	18.8717i	0.279681	−	0.711255i
$705$	0.579722	+	27.5168i	0.0218336	+	1.03634i
$706$	−5.66770	−	6.29462i	−0.213307	−	0.236901i
$707$	−5.84067	−	55.5703i	−0.219661	−	2.08994i
$708$	37.6286	+	3.15518i	1.41417	+	0.118579i
$709$	−4.03304	+	4.47915i	−0.151464	+	0.168218i	−0.814102	−	0.580722i	$-0.802770\pi$
$709$	−4.03304	+	4.47915i	−0.151464	+	0.168218i	0.662638	+	0.748940i	$0.269437\pi$
$710$	−1.37036	−	4.21753i	−0.0514287	−	0.158281i
$711$	−0.803161	+	12.8153i	−0.0301209	+	0.480611i
$712$	8.37326	−	6.08353i	0.313801	−	0.227990i
$713$	−8.87056	+	1.88550i	−0.332205	+	0.0706124i
$714$	−7.61677	−	4.18616i	−0.285051	−	0.156663i
$715$	15.4553	+	30.9523i	0.577996	+	1.15755i
$716$	12.6530	−	21.9157i	0.472866	−	0.819028i
$717$	32.2513	−	30.2934i	1.20445	−	1.13133i
$718$	−9.60122	−	4.27474i	−0.358314	−	0.159532i
$719$	−32.6897	−	23.7504i	−1.21912	−	0.885741i	−0.223092	−	0.974797i	$-0.571615\pi$
$719$	−32.6897	−	23.7504i	−1.21912	−	0.885741i	−0.996027	+	0.0890560i	$0.971615\pi$
$720$	−9.97358	−	26.7983i	−0.371693	−	0.998715i
$721$	−6.38836	−	19.6614i	−0.237915	−	0.732227i
$722$	0.487871	−	4.64179i	0.0181567	−	0.172749i
$723$	2.00092	−	4.76162i	0.0744151	−	0.177086i
$724$	−3.59329	−	3.99075i	−0.133544	−	0.148315i
$725$	−4.15251	+	7.19235i	−0.154220	+	0.267117i
$726$	3.65461	+	4.01985i	0.135635	+	0.149191i
$727$	−9.36031	−	16.2125i	−0.347155	−	0.601290i	0.638588	−	0.769549i	$-0.279519\pi$
$727$	−9.36031	−	16.2125i	−0.347155	−	0.601290i	−0.985743	+	0.168259i	$0.946185\pi$
$728$	5.41643	−	16.6700i	0.200746	−	0.617833i
$729$	19.6687	−	18.4970i	0.728472	−	0.685075i
$730$	2.52864	+	1.83717i	0.0935893	+	0.0679966i
$731$	−2.84739	+	3.16235i	−0.105315	+	0.116964i
$732$	−27.0127	+	9.41048i	−0.998419	+	0.347822i
$733$	0.515414	−	0.229477i	0.0190373	−	0.00847594i	−0.397196	−	0.917734i	$-0.630017\pi$
$733$	0.515414	−	0.229477i	0.0190373	−	0.00847594i	0.416233	+	0.909258i	$0.363350\pi$
$734$	0.740999	+	7.05013i	0.0273508	+	0.260225i
$735$	−10.2817	−	43.8125i	−0.379246	−	1.61605i
$736$	3.01837	+	5.22796i	0.111258	+	0.192705i
$737$	−3.18335	+	4.81575i	−0.117260	+	0.177391i
$738$	−5.87353	+	0.247596i	−0.216208	+	0.00911413i
$739$	0.602004	−	1.85278i	0.0221451	−	0.0681555i	−0.939373	−	0.342896i	$-0.888592\pi$
$739$	0.602004	−	1.85278i	0.0221451	−	0.0681555i	0.961518	+	0.274741i	$0.0885921\pi$
$740$	−36.7700	−	16.3711i	−1.35169	−	0.601813i
$741$	−4.60845	−	9.79038i	−0.169296	−	0.359659i
$742$	−1.78579	−	0.379581i	−0.0655583	−	0.0139349i
$743$	26.6669	+	5.66823i	0.978315	+	0.207947i	0.669204	−	0.743079i	$-0.266635\pi$
$743$	26.6669	+	5.66823i	0.978315	+	0.207947i	0.309111	+	0.951026i	$0.399968\pi$
$744$	4.00973	+	8.51843i	0.147004	+	0.312301i
$745$	49.9236	+	22.2274i	1.82906	+	0.814350i
$746$	1.61067	−	4.95714i	0.0589709	−	0.181494i
$747$	−10.4529	−	16.4623i	−0.382452	−	0.602325i
$748$	−17.1270	−	21.5052i	−0.626224	−	0.786308i
$749$	−5.65985	−	9.80315i	−0.206807	−	0.358199i
$750$	0.813873	+	3.46808i	0.0297184	+	0.126636i
$751$	−3.16787	−	30.1402i	−0.115597	−	1.09983i	−0.886451	−	0.462822i	$-0.846837\pi$
$751$	−3.16787	−	30.1402i	−0.115597	−	1.09983i	0.770854	−	0.637011i	$-0.219830\pi$
$752$	18.8576	−	8.39595i	0.687667	−	0.306169i
$753$	−19.0855	+	6.64886i	−0.695514	+	0.242298i
$754$	2.61088	−	2.89968i	0.0950828	−	0.105600i
$755$	24.2772	+	17.6384i	0.883539	+	0.641929i
$756$	25.8974	+	31.2814i	0.941878	+	1.13769i
$757$	3.43224	−	10.5634i	0.124747	−	0.383931i	−0.869108	−	0.494622i	$-0.835306\pi$
$757$	3.43224	−	10.5634i	0.124747	−	0.383931i	0.993855	+	0.110691i	$0.0353064\pi$
$758$	4.48528	+	7.76874i	0.162913	+	0.282173i
$759$	10.6864	−	0.698756i	0.387891	−	0.0253632i
$760$	−2.45515	+	4.25244i	−0.0890576	+	0.154252i
$761$	−22.3095	−	24.7772i	−0.808717	−	0.898171i	0.187745	−	0.982218i	$-0.439882\pi$
$761$	−22.3095	−	24.7772i	−0.808717	−	0.898171i	−0.996462	+	0.0840467i	$0.973216\pi$
$762$	−0.468849	+	1.11573i	−0.0169846	+	0.0404185i
$763$	−7.39038	+	70.3147i	−0.267550	+	2.54556i
$764$	9.92620	+	30.5497i	0.359117	+	1.10525i
$765$	−34.6166	−	5.84636i	−1.25157	−	0.211376i
$766$	2.86788	+	2.08364i	0.103621	+	0.0752849i
$767$	39.9735	+	17.7974i	1.44336	+	0.642625i
$768$	−12.4788	+	11.7212i	−0.450289	+	0.422952i
$769$	25.9701	−	44.9815i	0.936504	−	1.62207i	0.164575	−	0.986364i	$-0.447375\pi$
$769$	25.9701	−	44.9815i	0.936504	−	1.62207i	0.771929	−	0.635709i	$-0.219292\pi$
$770$	−1.71610	+	10.2927i	−0.0618439	+	0.370923i
$771$	−31.4578	−	17.2891i	−1.13293	−	0.622653i
$772$	−41.3627	+	8.79191i	−1.48868	+	0.316428i
$773$	6.24784	−	4.53932i	0.224719	−	0.163268i	−0.469729	−	0.882811i	$-0.655648\pi$
$773$	6.24784	−	4.53932i	0.224719	−	0.163268i	0.694448	+	0.719542i	$0.255648\pi$
$774$	−0.754641	+	0.374835i	−0.0271250	+	0.0134732i
$775$	−3.51343	−	10.8132i	−0.126206	−	0.388423i
$776$	5.54240	−	6.15546i	0.198961	−	0.220968i
$777$	54.4480	+	4.56550i	1.95331	+	0.163786i
$778$	−0.218171	−	2.07576i	−0.00782182	−	0.0744197i
$779$	−7.45990	−	8.28505i	−0.267279	−	0.296843i
$780$	−0.730173	−	34.6580i	−0.0261444	−	1.24096i
$781$	4.77872	+	18.4326i	0.170996	+	0.659569i
$782$	2.29655			0.0821244
$783$	4.97171	+	17.7818i	0.177674	+	0.635468i
$784$	−27.3060	+	19.8390i	−0.975215	+	0.708535i
$785$	−0.0942245	+	0.896486i	−0.00336301	+	0.0319969i
$786$	−1.86437	+	0.649496i	−0.0665000	+	0.0231668i
$787$	19.2757	+	4.09717i	0.687104	+	0.146048i	0.538218	−	0.842806i	$-0.319098\pi$
$787$	19.2757	+	4.09717i	0.687104	+	0.146048i	0.148886	+	0.988854i	$0.452431\pi$
$788$	−31.9444	+	14.2226i	−1.13797	+	0.506658i
$789$	−6.09637	+	14.5076i	−0.217037	+	0.516484i
$790$	3.23370	−	0.687345i	0.115050	−	0.0244546i
$791$	−3.84382			−0.136670
$792$	−3.24096	−	10.6352i	−0.115163	−	0.377906i
$793$	−33.1470			−1.17709
$794$	−9.54139	+	2.02808i	−0.338611	+	0.0719740i
$795$	−7.31622	+	0.925151i	−0.259479	+	0.0328117i
$796$	43.9882	−	19.5848i	1.55912	−	0.694165i
$797$	−13.7193	−	2.91612i	−0.485961	−	0.103294i	−0.0415860	−	0.999135i	$-0.513241\pi$
$797$	−13.7193	−	2.91612i	−0.485961	−	0.103294i	−0.444375	+	0.895841i	$0.646574\pi$
$798$	0.611170	−	3.20597i	0.0216352	−	0.113490i
$799$	2.64915	−	25.2050i	0.0937202	−	0.891689i
$800$	−6.12297	+	4.44860i	−0.216480	+	0.157282i
$801$	−7.46609	+	26.7655i	−0.263801	+	0.945712i
$802$	2.13170			0.0752731
$803$	−10.3612	−	8.53071i	−0.365638	−	0.301042i
$804$	4.94737	−	2.99705i	0.174480	−	0.105698i
$805$	13.7635	+	15.2859i	0.485099	+	0.538757i
$806$	0.558368	+	5.31251i	0.0196677	+	0.187125i
$807$	7.84863	−	11.2956i	0.276285	−	0.397625i
$808$	10.2565	−	11.3910i	0.360824	−	0.400736i
$809$	−6.46767	−	19.9055i	−0.227391	−	0.699839i	−0.998040	−	0.0625783i	$-0.980068\pi$
$809$	−6.46767	−	19.9055i	−0.227391	−	0.699839i	0.770649	−	0.637260i	$-0.219932\pi$
$810$	−5.94782	−	3.59820i	−0.208985	−	0.126428i
$811$	−1.57186	+	1.14203i	−0.0551956	+	0.0401019i	−0.615041	−	0.788495i	$-0.710861\pi$
$811$	−1.57186	+	1.14203i	−0.0551956	+	0.0401019i	0.559845	+	0.828597i	$0.310861\pi$
$812$	−27.1642	+	5.77393i	−0.953276	+	0.202625i
$813$	0.135848	+	6.44810i	0.00476440	+	0.226145i
$814$	−6.49866	−	3.37806i	−0.227778	−	0.118401i
$815$	−18.0646	+	31.2888i	−0.632775	+	1.09600i
$816$	6.01562	+	25.6338i	0.210589	+	0.897362i
$817$	−1.45980	−	0.649943i	−0.0510718	−	0.0227386i
$818$	−0.556008	−	0.403964i	−0.0194404	−	0.0141243i
$819$	16.4140	+	44.1033i	0.573552	+	1.54109i
$820$	−11.0369	−	33.9680i	−0.385424	−	1.18621i
$821$	−1.13327	+	10.7824i	−0.0395515	+	0.376307i	0.956786	+	0.290794i	$0.0939196\pi$
$821$	−1.13327	+	10.7824i	−0.0395515	+	0.376307i	−0.996337	+	0.0855130i	$0.972747\pi$
$822$	0.533724	−	0.0674906i	0.0186158	−	0.00235400i
$823$	31.8960	+	35.4241i	1.11182	+	1.23481i	0.969528	+	0.244982i	$0.0787819\pi$
$823$	31.8960	+	35.4241i	1.11182	+	1.23481i	0.142296	+	0.989824i	$0.454551\pi$
$824$	2.83556	−	4.91134i	0.0987815	−	0.171094i
$825$	2.27170	+	13.2328i	0.0790905	+	0.460708i
$826$	6.59880	+	11.4295i	0.229601	+	0.397681i
$827$	11.5619	−	35.5838i	0.402046	−	1.23737i	−0.521291	−	0.853379i	$-0.674549\pi$
$827$	11.5619	−	35.5838i	0.402046	−	1.23737i	0.923337	−	0.383991i	$-0.125451\pi$
$828$	−9.97808	−	3.94781i	−0.346762	−	0.137196i
$829$	−8.66207	−	6.29336i	−0.300846	−	0.218578i	0.427113	−	0.904198i	$-0.359531\pi$
$829$	−8.66207	−	6.29336i	−0.300846	−	0.218578i	−0.727959	+	0.685621i	$0.759531\pi$
$830$	−3.35949	+	3.73110i	−0.116610	+	0.129508i
$831$	−5.11487	−	4.41396i	−0.177433	−	0.153118i
$832$	−21.5097	+	9.57674i	−0.745715	+	0.332014i
$833$	4.33162	+	41.2126i	0.150082	+	1.42793i
$834$	1.36408	+	0.411659i	0.0472341	+	0.0142546i
$835$	25.6181	+	44.3718i	0.886549	+	1.53555i
$836$	5.69284	−	8.61209i	0.196891	−	0.297856i
$837$	−22.6451	−	11.2309i	−0.782730	−	0.388197i
$838$	−0.987051	+	3.03783i	−0.0340971	+	0.104940i
$839$	14.0334	+	6.24809i	0.484488	+	0.215708i	0.634420	−	0.772988i	$-0.281239\pi$
$839$	14.0334	+	6.24809i	0.484488	+	0.215708i	−0.149932	+	0.988696i	$0.547906\pi$
$840$	12.1852	−	17.5367i	0.420428	−	0.605073i
$841$	16.0159	+	3.40429i	0.552274	+	0.117389i
$842$	1.92589	+	0.409360i	0.0663704	+	0.0141075i
$843$	−0.0683892	−	0.00573448i	−0.00235545	−	0.000197506i
$844$	−14.4958	−	6.45394i	−0.498966	−	0.222154i
$845$	1.53168	−	4.71402i	0.0526913	−	0.162167i
$846$	2.32390	−	4.44783i	0.0798974	−	0.152920i
$847$	10.0272	−	43.6703i	0.344539	−	1.50053i
$848$	2.76543	+	4.78987i	0.0949654	+	0.164485i
$849$	−8.07205	+	7.58200i	−0.277032	+	0.260213i
$850$	0.300963	+	2.86347i	0.0103229	+	0.0982162i
$851$	−13.1894	+	5.87228i	−0.452125	+	0.201299i
$852$	3.57299	−	18.7426i	0.122409	−	0.642110i
$853$	27.7450	−	30.8139i	0.949970	−	1.05505i	−0.0484478	−	0.998826i	$-0.515427\pi$
$853$	27.7450	−	30.8139i	0.949970	−	1.05505i	0.998418	−	0.0562233i	$-0.0179059\pi$
$854$	−8.08825	−	5.87646i	−0.276774	−	0.201088i
$855$	−1.92898	−	13.0412i	−0.0659696	−	0.446000i
$856$	0.959576	−	2.95327i	0.0327976	−	0.100941i
$857$	−9.20273	−	15.9396i	−0.314359	−	0.544486i	0.664942	−	0.746895i	$-0.268456\pi$
$857$	−9.20273	−	15.9396i	−0.314359	−	0.544486i	−0.979301	+	0.202409i	$0.935123\pi$
$858$	0.248633	−	6.30317i	0.00848818	−	0.215187i
$859$	7.52426	−	13.0324i	0.256725	−	0.444660i	−0.708638	−	0.705572i	$-0.750690\pi$
$859$	7.52426	−	13.0324i	0.256725	−	0.444660i	0.965363	+	0.260912i	$0.0840233\pi$
$860$	−3.42542	−	3.80432i	−0.116806	−	0.129726i
$861$	29.3184	+	38.6158i	0.999167	+	1.31602i
$862$	0.869760	−	8.27521i	0.0296241	−	0.281855i
$863$	−4.45906	−	13.7236i	−0.151788	−	0.467155i	0.846033	−	0.533130i	$-0.178984\pi$
$863$	−4.45906	−	13.7236i	−0.151788	−	0.467155i	−0.997821	+	0.0659746i	$0.978984\pi$
$864$	−2.45197	+	16.6465i	−0.0834178	+	0.566325i
$865$	3.31799	+	2.41066i	0.112815	+	0.0819649i
$866$	−9.51747	−	4.23745i	−0.323417	−	0.143994i
$867$	2.75950	+	0.832779i	0.0937176	+	0.0282827i
$868$	19.0095	−	32.9255i	0.645225	−	1.11756i
$869$	−14.0385	+	2.10662i	−0.476222	+	0.0714623i
$870$	4.06588	−	2.46306i	0.137846	−	0.0835054i
$871$	6.55636	−	1.39360i	0.222154	−	0.0472202i
$872$	−15.6910	+	11.4002i	−0.531365	+	0.386059i
$873$	−1.39097	+	22.1945i	−0.0470773	+	0.751170i
$874$	0.266492	+	0.820177i	0.00901421	+	0.0277429i
$875$	19.6589	−	21.8334i	0.664593	−	0.738105i
$876$	5.72736	+	12.1674i	0.193510	+	0.411100i
$877$	2.51656	+	23.9435i	0.0849782	+	0.808514i	0.951142	+	0.308754i	$0.0999119\pi$
$877$	2.51656	+	23.9435i	0.0849782	+	0.808514i	−0.866164	+	0.499760i	$0.833421\pi$
$878$	−4.10175	−	4.55545i	−0.138427	−	0.153739i
$879$	35.5303	+	19.5274i	1.19841	+	0.658642i
$880$	26.6511	−	17.0010i	0.898409	−	0.573104i
$881$	−10.0956			−0.340129			−0.170064	−	0.985433i	$-0.554398\pi$
$881$	−10.0956			−0.340129			−0.170064	+	0.985433i	$0.554398\pi$
$882$	−2.20471	+	7.90374i	−0.0742363	+	0.266133i
$883$	−41.0332	+	29.8124i	−1.38088	+	1.00327i	−0.384079	+	0.923300i	$0.625481\pi$
$883$	−41.0332	+	29.8124i	−1.38088	+	1.00327i	−0.996798	+	0.0799659i	$0.974519\pi$
$884$	−3.33666	+	31.7462i	−0.112224	+	1.06774i
$885$	40.3589	+	34.8283i	1.35665	+	1.17074i
$886$	9.32839	+	1.98281i	0.313393	+	0.0666138i
$887$	−2.35029	+	1.04641i	−0.0789149	+	0.0351352i	−0.445815	−	0.895125i	$-0.647086\pi$
$887$	−2.35029	+	1.04641i	−0.0789149	+	0.0351352i	0.366900	+	0.930261i	$0.380419\pi$
$888$	9.06362	+	11.9379i	0.304155	+	0.400609i
$889$	9.76319	−	2.07523i	0.327447	−	0.0696010i
$890$	7.15422			0.239810
$891$	24.5590	+	16.9663i	0.822758	+	0.568391i
$892$	14.1064			0.472316
$893$	9.30898	−	1.97868i	0.311513	−	0.0662141i
$894$	−6.02529	−	7.93603i	−0.201516	−	0.265421i
$895$	32.6375	−	14.5311i	1.09095	−	0.485722i
$896$	−32.7504	−	6.96130i	−1.09411	−	0.232561i
$897$	−9.41387	−	8.12385i	−0.314320	−	0.271247i
$898$	−1.17833	+	11.2111i	−0.0393215	+	0.374119i
$899$	13.9843	−	10.1602i	0.466403	−	0.338862i
$900$	3.61473	−	12.9586i	0.120491	−	0.431953i
$901$	6.79061			0.226228
$902$	−1.63102	−	6.29121i	−0.0543071	−	0.209474i
$903$	6.09015	+	3.34713i	0.202668	+	0.111386i
$904$	−0.705563	−	0.783607i	−0.0234667	−	0.0260624i
$905$	−0.792460	−	7.53975i	−0.0263423	−	0.250630i
$906$	−2.33025	−	4.95049i	−0.0774174	−	0.164469i
$907$	6.88861	−	7.65058i	0.228733	−	0.254033i	−0.617843	−	0.786301i	$-0.711993\pi$
$907$	6.88861	−	7.65058i	0.228733	−	0.254033i	0.846576	+	0.532268i	$0.178660\pi$
$908$	11.2304	+	34.5636i	0.372693	+	1.14703i
$909$	−2.57408	+	41.0722i	−0.0853768	+	1.36228i
$910$	9.80197	−	7.12155i	0.324932	−	0.236077i
$911$	15.2616	−	3.24395i	0.505639	−	0.107477i	0.0519727	−	0.998649i	$-0.483449\pi$
$911$	15.2616	−	3.24395i	0.505639	−	0.107477i	0.453666	+	0.891172i	$0.350116\pi$
$912$	−8.45665	+	5.12293i	−0.280028	+	0.169637i
$913$	15.3677	−	15.1198i	0.508597	−	0.500394i
$914$	−5.34829	+	9.26351i	−0.176906	+	0.306410i
$915$	−38.6612	−	11.6674i	−1.27810	−	0.385713i
$916$	13.7761	+	6.13353i	0.455176	+	0.202657i
$917$	13.1729	+	9.57070i	0.435009	+	0.316052i
$918$	5.01797	+	3.97423i	0.165618	+	0.131169i
$919$	3.46483	+	10.6637i	0.114294	+	0.351761i	0.991799	−	0.127806i	$-0.0407935\pi$
$919$	3.46483	+	10.6637i	0.114294	+	0.351761i	−0.877505	+	0.479568i	$0.840794\pi$
$920$	−0.589812	+	5.61168i	−0.0194455	+	0.185012i
$921$	−30.5300	−	40.2117i	−1.00600	−	1.32502i
$922$	3.69493	+	4.10363i	0.121686	+	0.135146i
$923$	11.0549	−	19.1476i	0.363875	−	0.630251i
$924$	−27.8006	+	35.2536i	−0.914573	+	1.15976i
$925$	−9.05036	−	15.6757i	−0.297574	−	0.515413i
$926$	−1.26440	+	3.89141i	−0.0415506	+	0.127880i
$927$	2.22786	+	15.0619i	0.0731726	+	0.494697i
$928$	−9.30886	−	6.76328i	−0.305578	−	0.222016i
$929$	15.7430	−	17.4843i	0.516510	−	0.573643i	−0.427309	−	0.904106i	$-0.640538\pi$
$929$	15.7430	−	17.4843i	0.516510	−	0.573643i	0.943819	+	0.330463i	$0.107205\pi$
$930$	−1.21870	+	6.39282i	−0.0399626	+	0.209629i
$931$	−14.2158	+	6.32929i	−0.465904	+	0.207434i
$932$	−1.31755	−	12.5356i	−0.0431577	−	0.410618i
$933$	24.8778	−	23.3675i	0.814464	−	0.765018i
$934$	3.18239	+	5.51206i	0.104131	+	0.180360i
$935$	−1.71609	−	38.7741i	−0.0561221	−	1.26805i
$936$	−5.97805	+	11.4417i	−0.195399	+	0.373983i
$937$	5.76486	−	17.7424i	0.188330	−	0.579619i	−0.811660	−	0.584130i	$-0.801436\pi$
$937$	5.76486	−	17.7424i	0.188330	−	0.579619i	0.999990	+	0.00451068i	$0.00143580\pi$
$938$	1.84689	+	0.822288i	0.0603031	+	0.0268487i
$939$	−2.31003	−	0.193697i	−0.0753850	−	0.00632108i
$940$	29.8225	+	6.33896i	0.972702	+	0.206754i
$941$	31.7826	+	6.75560i	1.03608	+	0.220226i	0.694400	−	0.719589i	$-0.255670\pi$
$941$	31.7826	+	6.75560i	1.03608	+	0.220226i	0.341683	+	0.939815i	$0.389003\pi$
$942$	0.0937858	−	0.134975i	0.00305571	−	0.00439772i
$943$	−11.7037	−	5.21082i	−0.381125	−	0.169688i
$944$	12.3551	−	38.0250i	0.402123	−	1.23761i
$945$	3.62066	+	57.2177i	0.117780	+	1.86129i
$946$	−0.580329	−	0.728681i	−0.0188681	−	0.0236915i
$947$	1.92137	+	3.32790i	0.0624360	+	0.108142i	0.895554	−	0.444953i	$-0.146780\pi$
$947$	1.92137	+	3.32790i	0.0624360	+	0.108142i	−0.833118	+	0.553096i	$0.813446\pi$
$948$	13.6175	+	4.10957i	0.442275	+	0.133473i
$949$	1.62891	+	15.4980i	0.0528765	+	0.503087i
$950$	−0.987720	+	0.439761i	−0.0320459	+	0.0142677i
$951$	5.24633	+	4.52741i	0.170124	+	0.146811i
$952$	−13.1576	+	14.6130i	−0.426441	+	0.473610i
$953$	−15.4434	−	11.2203i	−0.500262	−	0.363461i	0.308855	−	0.951109i	$-0.400054\pi$
$953$	−15.4434	−	11.2203i	−0.500262	−	0.363461i	−0.809117	+	0.587648i	$0.800054\pi$
$954$	1.25031	+	0.494682i	0.0404802	+	0.0160159i
$955$	−14.0134	+	43.1289i	−0.453464	+	1.39562i
$956$	−24.5077	−	42.4486i	−0.792636	−	1.37289i
$957$	−18.0662	+	9.50151i	−0.583998	+	0.307140i
$958$	3.31651	−	5.74436i	0.107152	−	0.185592i
$959$	−2.96887	−	3.29726i	−0.0958698	−	0.106474i
$960$	−28.4589	+	3.59869i	−0.918507	+	0.116147i
$961$	0.766796	−	7.29558i	0.0247354	−	0.235341i
$962$	2.62793	+	8.08795i	0.0847280	+	0.260766i
$963$	2.90791	+	7.81335i	0.0937061	+	0.251782i
$964$	−4.62879	−	3.36302i	−0.149083	−	0.108315i
$965$	−54.5376	−	24.2817i	−1.75563	−	0.781655i
$966$	−0.856858	−	3.65125i	−0.0275689	−	0.117477i
$967$	−13.2813	+	23.0039i	−0.427099	+	0.739757i	−0.996614	−	0.0822239i	$-0.973798\pi$
$967$	−13.2813	+	23.0039i	−0.427099	+	0.739757i	0.569515	+	0.821981i	$0.307131\pi$
$968$	10.7433	−	5.97185i	0.345302	−	0.191943i
$969$	0.255693	+	12.1366i	0.00821406	+	0.389885i
$970$	5.60037	−	1.19040i	0.179817	−	0.0382213i
$971$	41.3472	−	30.0405i	1.32689	−	0.964045i	0.327076	−	0.944998i	$-0.393937\pi$
$971$	41.3472	−	30.0405i	1.32689	−	0.964045i	0.999819	−	0.0190472i	$-0.00606329\pi$
$972$	−14.9704	−	25.8933i	−0.480175	−	0.830527i
$973$	−3.63134	−	11.1761i	−0.116415	−	0.358290i
$974$	0.0516693	−	0.0573846i	0.00165559	−	0.00183872i
$975$	8.89559	−	12.8024i	0.284887	−	0.410004i
$976$	3.16592	+	30.1217i	0.101339	+	0.964171i
$977$	−14.1686	−	15.7358i	−0.453292	−	0.503432i	0.472570	−	0.881293i	$-0.343326\pi$
$977$	−14.1686	−	15.7358i	−0.453292	−	0.503432i	−0.925862	+	0.377861i	$0.876660\pi$
$978$	5.63434	−	3.41321i	0.180166	−	0.109142i
$979$	−30.6638	−	1.85712i	−0.980020	−	0.0593539i
$980$	−49.8521			−1.59247
$981$	13.9910	−	50.1570i	0.446699	−	1.60139i
$982$	0.970410	−	0.705044i	0.0309670	−	0.0224989i
$983$	−5.31375	+	50.5569i	−0.169482	+	1.61252i	0.497515	+	0.867456i	$0.334246\pi$
$983$	−5.31375	+	50.5569i	−0.169482	+	1.61252i	−0.666997	+	0.745061i	$0.732421\pi$
$984$	−2.49067	+	13.0651i	−0.0793996	+	0.416501i
$985$	−48.2870	−	10.2637i	−1.53855	−	0.327029i
$986$	−3.99892	+	1.78043i	−0.127352	+	0.0567006i
$987$	−41.0614	+	5.19230i	−1.30700	+	0.165273i
$988$	−11.7249	+	2.49219i	−0.373017	+	0.0792873i
$989$	−1.83625			−0.0583895
$990$	2.50865	−	7.26422i	0.0797300	−	0.230872i
$991$	−13.1480			−0.417662			−0.208831	−	0.977952i	$-0.566966\pi$
$991$	−13.1480			−0.417662			−0.208831	+	0.977952i	$0.566966\pi$
$992$	15.4082	−	3.27512i	0.489211	−	0.103985i
$993$	−2.13401	+	5.07834i	−0.0677209	+	0.161156i
$994$	6.09209	−	2.71237i	0.193229	−	0.0860312i
$995$	66.4923	+	14.1334i	2.10795	+	0.448058i
$996$	−20.3994	+	7.10660i	−0.646381	+	0.225181i
$997$	3.88937	−	37.0048i	0.123177	−	1.17195i	−0.741969	−	0.670435i	$-0.766108\pi$
$997$	3.88937	−	37.0048i	0.123177	−	1.17195i	0.865146	−	0.501520i	$-0.167226\pi$
$998$	3.54437	−	2.57514i	0.112195	−	0.0815146i
$999$	−38.9809	−	9.99353i	−1.23330	−	0.316181i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.31.5	yes	72
3.2	odd	2		297.2.n.b.64.5		72
9.2	odd	6		297.2.n.b.262.5		72
9.4	even	3		891.2.f.f.163.5		36
9.5	odd	6		891.2.f.e.163.5		36
9.7	even	3	inner	99.2.m.b.97.5	yes	72
11.4	even	5		1089.2.e.p.364.9		36
11.5	even	5	inner	99.2.m.b.49.5	yes	72
11.7	odd	10		1089.2.e.o.364.10		36
33.5	odd	10		297.2.n.b.280.5		72
99.4	even	15		9801.2.a.cm.1.10		18
99.5	odd	30		891.2.f.e.82.5		36
99.7	odd	30		1089.2.e.o.727.10		36
99.16	even	15	inner	99.2.m.b.16.5	✓	72
99.38	odd	30		297.2.n.b.181.5		72
99.40	odd	30		9801.2.a.co.1.9		18
99.49	even	15		891.2.f.f.82.5		36
99.59	odd	30		9801.2.a.cp.1.9		18
99.70	even	15		1089.2.e.p.727.9		36
99.95	even	30		9801.2.a.cn.1.10		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.5	✓	72	99.16	even	15	inner
99.2.m.b.31.5	yes	72	1.1	even	1	trivial
99.2.m.b.49.5	yes	72	11.5	even	5	inner
99.2.m.b.97.5	yes	72	9.7	even	3	inner
297.2.n.b.64.5		72	3.2	odd	2
297.2.n.b.181.5		72	99.38	odd	30
297.2.n.b.262.5		72	9.2	odd	6
297.2.n.b.280.5		72	33.5	odd	10
891.2.f.e.82.5		36	99.5	odd	30
891.2.f.e.163.5		36	9.5	odd	6
891.2.f.f.82.5		36	99.49	even	15
891.2.f.f.163.5		36	9.4	even	3
1089.2.e.o.364.10		36	11.7	odd	10
1089.2.e.o.727.10		36	99.7	odd	30
1089.2.e.p.364.9		36	11.4	even	5
1089.2.e.p.727.9		36	99.70	even	15
9801.2.a.cm.1.10		18	99.4	even	15
9801.2.a.cn.1.10		18	99.95	even	30
9801.2.a.co.1.9		18	99.40	odd	30
9801.2.a.cp.1.9		18	99.59	odd	30

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.278917 + 0.0592857i) q^{2} +(-1.04736 - 1.37950i) q^{3} +(-1.75281 + 0.780402i) q^{4} +(-2.64954 - 0.563177i) q^{5} +(0.373912 + 0.322674i) q^{6} +(0.425779 - 4.05102i) q^{7} +(0.904002 - 0.656796i) q^{8} +(-0.806061 + 2.88968i) q^{9} +0.772391 q^{10} +(-3.31056 - 0.200500i) q^{11} +(2.91240 + 1.60065i) q^{12} +(2.57679 + 2.86182i) q^{13} +(0.121410 + 1.15514i) q^{14} +(1.99813 + 4.24490i) q^{15} +(2.35451 - 2.61494i) q^{16} +(-1.33502 - 4.10876i) q^{17} +(0.0535075 - 0.853770i) q^{18} +(1.31246 - 0.953561i) q^{19} +(5.08365 - 1.08056i) q^{20} +(-6.03434 + 3.65553i) q^{21} +(0.935259 - 0.140346i) q^{22} +(0.932117 - 1.61447i) q^{23} +(-1.85287 - 0.559170i) q^{24} +(2.13517 + 0.950641i) q^{25} +(-0.888377 - 0.645443i) q^{26} +(4.83057 - 1.91458i) q^{27} +(2.41511 + 7.43295i) q^{28} +(-0.371426 + 3.53388i) q^{29} +(-0.808974 - 1.06552i) q^{30} +(-3.25505 - 3.61509i) q^{31} +(-1.61909 + 2.80435i) q^{32} +(3.19077 + 4.77692i) q^{33} +(0.615950 + 1.06686i) q^{34} +(-3.40956 + 10.4936i) q^{35} +(-0.842241 - 5.69412i) q^{36} +(-6.26542 - 4.55210i) q^{37} +(-0.309536 + 0.343775i) q^{38} +(1.24905 - 6.55206i) q^{39} +(-2.76508 + 1.23109i) q^{40} +(-0.718335 - 6.83450i) q^{41} +(1.46636 - 1.37734i) q^{42} +(-0.492496 - 0.853027i) q^{43} +(5.95925 - 2.23213i) q^{44} +(3.76310 - 7.20238i) q^{45} +(-0.164268 + 0.505566i) q^{46} +(5.35918 + 2.38606i) q^{47} +(-6.07335 - 0.509254i) q^{48} +(-9.38245 - 1.99430i) q^{49} +(-0.651896 - 0.138565i) q^{50} +(-4.26980 + 6.14502i) q^{51} +(-6.75000 - 3.00529i) q^{52} +(-0.485721 + 1.49489i) q^{53} +(-1.23382 + 0.820393i) q^{54} +(8.65855 + 2.39567i) q^{55} +(-2.27579 - 3.94178i) q^{56} +(-2.69007 - 0.811824i) q^{57} +(-0.105911 - 1.00768i) q^{58} +(10.3802 - 4.62154i) q^{59} +(-6.81507 - 5.88117i) q^{60} +(-5.75953 + 6.39660i) q^{61} +(1.12221 + 0.815335i) q^{62} +(11.3630 + 4.49574i) q^{63} +(-1.88937 + 5.81490i) q^{64} +(-5.21561 - 9.03370i) q^{65} +(-1.17316 - 1.14320i) q^{66} +(0.870282 - 1.50737i) q^{67} +(5.54651 + 6.16003i) q^{68} +(-3.20344 + 0.405082i) q^{69} +(0.328868 - 3.12897i) q^{70} +(-1.77418 - 5.46036i) q^{71} +(1.16925 + 3.14170i) q^{72} +(3.27379 + 2.37855i) q^{73} +(2.01741 + 0.898208i) q^{74} +(-0.924890 - 3.94115i) q^{75} +(-1.55634 + 2.69566i) q^{76} +(-2.22180 + 13.3258i) q^{77} +(0.0400613 + 1.90153i) q^{78} +(4.18662 - 0.889893i) q^{79} +(-7.71104 + 5.60240i) q^{80} +(-7.70053 - 4.65852i) q^{81} +(0.605544 + 1.86367i) q^{82} +(-4.34947 + 4.83058i) q^{83} +(7.72429 - 11.1167i) q^{84} +(1.22322 + 11.6382i) q^{85} +(0.187938 + 0.208726i) q^{86} +(5.26402 - 3.18887i) q^{87} +(-3.12444 + 1.99311i) q^{88} +9.26243 q^{89} +(-0.622594 + 2.23196i) q^{90} +(12.6904 - 9.22014i) q^{91} +(-0.373887 + 3.55729i) q^{92} +(-1.57782 + 8.27667i) q^{93} +(-1.63623 - 0.347790i) q^{94} +(-4.01445 + 1.78735i) q^{95} +(5.56439 - 0.703629i) q^{96} +(7.25070 - 1.54118i) q^{97} +2.73516 q^{98} +(3.24790 - 9.40485i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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