LMFDB - Embedded newform 99.2.m.b.97.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [99,2,Mod(4,99)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage: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")

magma://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:traces = [72] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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			97.5
Character	$\chi$	$=$	99.97
Dual form			99.2.m.b.49.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.190802 + 0.211907i) q^{2} +(0.988333 + 1.42239i) q^{3} +(0.200558 - 1.90818i) q^{4} +(1.81250 - 2.01298i) q^{5} +(-0.112839 + 0.480829i) q^{6} +(-3.72118 + 1.65677i) q^{7} +(0.904002 - 0.656796i) q^{8} +(-1.04640 + 2.81159i) q^{9} +0.772391 q^{10} +(1.48164 + 2.96728i) q^{11} +(2.91240 - 1.60065i) q^{12} +(-3.76680 + 0.800659i) q^{13} +(-1.06109 - 0.472427i) q^{14} +(4.65460 + 0.588584i) q^{15} +(-3.44186 - 0.731590i) q^{16} +(-1.33502 - 4.10876i) q^{17} +(-0.795449 + 0.314718i) q^{18} +(1.31246 - 0.953561i) q^{19} +(-3.47762 - 3.86229i) q^{20} +(-6.03434 - 3.65553i) q^{21} +(-0.346086 + 0.880131i) q^{22} +(0.932117 + 1.61447i) q^{23} +(1.82768 + 0.636712i) q^{24} +(-0.244308 - 2.32444i) q^{25} +(-0.888377 - 0.645443i) q^{26} +(-5.03337 + 1.29041i) q^{27} +(2.41511 + 7.43295i) q^{28} +(3.24614 - 1.44528i) q^{29} +(0.763380 + 1.09864i) q^{30} +(4.75829 - 1.01141i) q^{31} +(-1.61909 - 2.80435i) q^{32} +(-2.75628 + 5.04013i) q^{33} +(0.615950 - 1.06686i) q^{34} +(-3.40956 + 10.4936i) q^{35} +(5.15516 + 2.56060i) q^{36} +(-6.26542 - 4.55210i) q^{37} +(0.452486 + 0.0961788i) q^{38} +(-4.86171 - 4.56655i) q^{39} +(0.316383 - 3.01018i) q^{40} +(6.27802 + 2.79515i) q^{41} +(-0.376732 - 1.97620i) 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} +(-0.613200 - 5.83421i) q^{47} +(-2.36110 - 5.61873i) q^{48} +(6.41834 - 7.12829i) q^{49} +(0.445949 - 0.495276i) q^{50} +(4.52482 - 5.95974i) q^{51} +(0.772339 + 7.34832i) 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} +(2.65349 + 0.924402i) q^{57} +(0.925632 + 0.412118i) q^{58} +(-1.18770 + 11.3002i) q^{59} +(2.05664 - 8.76376i) q^{60} +(8.41938 + 1.78960i) q^{61} +(1.12221 + 0.815335i) q^{62} +(-0.764353 - 12.1961i) q^{63} +(-1.88937 + 5.81490i) q^{64} +(-5.21561 + 9.03370i) q^{65} +(-1.59394 + 0.377592i) q^{66} +(0.870282 + 1.50737i) q^{67} +(-8.10800 + 1.72341i) q^{68} +(-1.37517 + 2.92147i) q^{69} +(-2.87420 + 1.27968i) q^{70} +(-1.77418 - 5.46036i) q^{71} +(0.900699 + 3.22896i) q^{72} +(3.27379 + 2.37855i) q^{73} +(-0.230833 - 2.19623i) q^{74} +(3.06480 - 2.64482i) q^{75} +(-1.55634 - 2.69566i) q^{76} +(-10.4296 - 8.58702i) q^{77} +(0.0400613 - 1.90153i) q^{78} +(-2.86398 - 3.18077i) q^{79} +(-7.71104 + 5.60240i) q^{80} +(-6.81011 - 5.88408i) q^{81} +(0.605544 + 1.86367i) q^{82} +(6.35814 + 1.35146i) q^{83} +(-8.18563 + 10.7815i) q^{84} +(-10.6906 - 4.75975i) q^{85} +(-0.274731 + 0.0583959i) q^{86} +(5.26402 + 3.18887i) q^{87} +(3.28830 + 1.70929i) q^{88} +9.26243 q^{89} +(-0.808227 + 2.17165i) q^{90} +(12.6904 - 9.22014i) q^{91} +(3.26765 - 1.45485i) q^{92} +(6.14139 + 5.76854i) q^{93} +(1.11931 - 1.24312i) q^{94} +(0.459336 - 4.37029i) q^{95} +(2.38868 - 5.07461i) q^{96} +(-4.96005 - 5.50870i) q^{97} +2.73516 q^{98} +(-9.89316 + 1.06082i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	0.190802	+	0.211907i	0.134917	+	0.149841i	0.806817	−	0.590801i	$-0.201188\pi$
$2$	0.190802	+	0.211907i	0.134917	+	0.149841i	−0.671900	+	0.740642i	$0.734522\pi$
$3$	0.988333	+	1.42239i	0.570614	+	0.821218i
$3$	0.988333	+	1.42239i	0.570614	+	0.821218i
$4$	0.200558	−	1.90818i	0.100279	−	0.954090i
$5$	1.81250	−	2.01298i	0.810573	−	0.900233i	−0.186034	−	0.982543i	$-0.559563\pi$
$5$	1.81250	−	2.01298i	0.810573	−	0.900233i	0.996607	+	0.0823107i	$0.0262300\pi$
$6$	−0.112839	+	0.480829i	−0.0460662	+	0.196297i
$7$	−3.72118	+	1.65677i	−1.40647	+	0.626202i	−0.962856	−	0.270015i	$-0.912971\pi$
$7$	−3.72118	+	1.65677i	−1.40647	+	0.626202i	−0.443616	+	0.896217i	$0.646305\pi$
$8$	0.904002	−	0.656796i	0.319613	−	0.232212i
$9$	−1.04640	+	2.81159i	−0.348799	+	0.937198i
$10$	0.772391			0.244251
$11$	1.48164	+	2.96728i	0.446732	+	0.894668i
$11$	1.48164	+	2.96728i	0.446732	+	0.894668i
$12$	2.91240	−	1.60065i	0.840736	−	0.462066i
$13$	−3.76680	+	0.800659i	−1.04472	+	0.222063i	−0.698144	−	0.715958i	$-0.745990\pi$
$13$	−3.76680	+	0.800659i	−1.04472	+	0.222063i	−0.346580	+	0.938021i	$0.612657\pi$
$14$	−1.06109	−	0.472427i	−0.283588	−	0.126261i
$15$	4.65460	+	0.588584i	1.20181	+	0.151972i
$16$	−3.44186	−	0.731590i	−0.860465	−	0.182898i
$17$	−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	$-0.275524\pi$
$18$	−0.795449	+	0.314718i	−0.187489	+	0.0741798i
$19$	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	$0.240418\pi$
$20$	−3.47762	−	3.86229i	−0.777619	−	0.863634i
$21$	−6.03434	−	3.65553i	−1.31680	−	0.797701i
$22$	−0.346086	+	0.880131i	−0.0737859	+	0.187644i
$23$	0.932117	+	1.61447i	0.194360	+	0.336641i	0.946691	−	0.322145i	$-0.104404\pi$
$23$	0.932117	+	1.61447i	0.194360	+	0.336641i	−0.752331	+	0.658786i	$0.771070\pi$
$24$	1.82768	+	0.636712i	0.373073	+	0.129968i
$25$	−0.244308	−	2.32444i	−0.0488616	−	0.464887i
$26$	−0.888377	−	0.645443i	−0.174225	−	0.126582i
$27$	−5.03337	+	1.29041i	−0.968673	+	0.248339i
$28$	2.41511	+	7.43295i	0.456413	+	1.40470i
$29$	3.24614	−	1.44528i	0.602793	−	0.268381i	−0.0825663	−	0.996586i	$-0.526312\pi$
$29$	3.24614	−	1.44528i	0.602793	−	0.268381i	0.685360	+	0.728205i	$0.259645\pi$
$30$	0.763380	+	1.09864i	0.139373	+	0.200584i
$31$	4.75829	−	1.01141i	0.854614	−	0.181654i	0.240283	−	0.970703i	$-0.422760\pi$
$31$	4.75829	−	1.01141i	0.854614	−	0.181654i	0.614330	+	0.789049i	$0.289426\pi$
$32$	−1.61909	−	2.80435i	−0.286218	−	0.495744i
$33$	−2.75628	+	5.04013i	−0.479806	+	0.877374i
$34$	0.615950	−	1.06686i	0.105634	−	0.182964i
$35$	−3.40956	+	10.4936i	−0.576321	+	1.77374i
$36$	5.15516	+	2.56060i	0.859194	+	0.426766i
$37$	−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	$0.919657\pi$
$38$	0.452486	+	0.0961788i	0.0734029	+	0.0156023i
$39$	−4.86171	−	4.56655i	−0.778496	−	0.731234i
$40$	0.316383	−	3.01018i	0.0500245	−	0.475951i
$41$	6.27802	+	2.79515i	0.980462	+	0.436530i	0.833444	−	0.552604i	$-0.186366\pi$
$41$	6.27802	+	2.79515i	0.980462	+	0.436530i	0.147018	+	0.989134i	$0.453033\pi$
$42$	−0.376732	−	1.97620i	−0.0581310	−	0.304934i
$43$	−0.492496	+	0.853027i	−0.0751049	+	0.130085i	−0.901132	−	0.433545i	$-0.857262\pi$
$43$	−0.492496	+	0.853027i	−0.0751049	+	0.130085i	0.826027	+	0.563631i	$0.190596\pi$
$44$	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
$47$	−0.613200	−	5.83421i	−0.0894445	−	0.851007i	−0.943622	−	0.331026i	$-0.892605\pi$
$47$	−0.613200	−	5.83421i	−0.0894445	−	0.851007i	0.854177	−	0.519982i	$-0.174061\pi$
$48$	−2.36110	−	5.61873i	−0.340795	−	0.810994i
$49$	6.41834	−	7.12829i	0.916906	−	1.01833i
$50$	0.445949	−	0.495276i	0.0630667	−	0.0700426i
$51$	4.52482	−	5.95974i	0.633602	−	0.834530i
$52$	0.772339	+	7.34832i	0.107104	+	1.01903i
$53$	−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
$57$	2.65349	+	0.924402i	0.351463	+	0.122440i
$58$	0.925632	+	0.412118i	0.121541	+	0.0541137i
$59$	−1.18770	+	11.3002i	−0.154626	+	1.47117i	0.592008	+	0.805932i	$0.298335\pi$
$59$	−1.18770	+	11.3002i	−0.154626	+	1.47117i	−0.746634	+	0.665235i	$0.768331\pi$
$60$	2.05664	−	8.76376i	0.265511	−	1.13140i
$61$	8.41938	+	1.78960i	1.07799	+	0.229134i	0.712494	−	0.701678i	$-0.247566\pi$
$61$	8.41938	+	1.78960i	1.07799	+	0.229134i	0.365498	+	0.930812i	$0.380899\pi$
$62$	1.12221	+	0.815335i	0.142521	+	0.103548i
$63$	−0.764353	−	12.1961i	−0.0962994	−	1.53656i
$64$	−1.88937	+	5.81490i	−0.236172	+	0.726862i
$65$	−5.21561	+	9.03370i	−0.646916	+	1.12049i
$66$	−1.59394	+	0.377592i	−0.196200	+	0.0464783i
$67$	0.870282	+	1.50737i	0.106322	+	0.184155i	0.914277	−	0.405088i	$-0.132759\pi$
$67$	0.870282	+	1.50737i	0.106322	+	0.184155i	−0.807956	+	0.589243i	$0.799426\pi$
$68$	−8.10800	+	1.72341i	−0.983239	+	0.208994i
$69$	−1.37517	+	2.92147i	−0.165551	+	0.351704i
$70$	−2.87420	+	1.27968i	−0.343533	+	0.152951i
$71$	−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	$-0.210660\pi$
$72$	0.900699	+	3.22896i	0.106148	+	0.380536i
$73$	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	$0.623898\pi$
$74$	−0.230833	−	2.19623i	−0.0268338	−	0.255307i
$75$	3.06480	−	2.64482i	0.353893	−	0.305397i
$76$	−1.55634	−	2.69566i	−0.178524	−	0.309213i
$77$	−10.4296	−	8.58702i	−1.18856	−	0.978582i
$78$	0.0400613	−	1.90153i	0.00453605	−	0.215306i
$79$	−2.86398	−	3.18077i	−0.322223	−	0.357864i	0.560171	−	0.828377i	$-0.310736\pi$
$79$	−2.86398	−	3.18077i	−0.322223	−	0.357864i	−0.882393	+	0.470513i	$0.844069\pi$
$80$	−7.71104	+	5.60240i	−0.862120	+	0.626367i
$81$	−6.81011	−	5.88408i	−0.756679	−	0.653786i
$82$	0.605544	+	1.86367i	0.0668711	+	0.205808i
$83$	6.35814	+	1.35146i	0.697897	+	0.148343i	0.543180	−	0.839616i	$-0.317220\pi$
$83$	6.35814	+	1.35146i	0.697897	+	0.148343i	0.154717	+	0.987959i	$0.450554\pi$
$84$	−8.18563	+	10.7815i	−0.893126	+	1.17635i
$85$	−10.6906	−	4.75975i	−1.15956	−	0.516267i
$86$	−0.274731	+	0.0583959i	−0.0296250	+	0.00629699i
$87$	5.26402	+	3.18887i	0.564362	+	0.341883i
$88$	3.28830	+	1.70929i	0.350534	+	0.182211i
$89$	9.26243			0.981816			0.490908	−	0.871211i	$-0.336665\pi$
$89$	9.26243			0.981816			0.490908	+	0.871211i	$0.336665\pi$
$90$	−0.808227	+	2.17165i	−0.0851946	+	0.228912i
$91$	12.6904	−	9.22014i	1.33032	−	0.966533i
$92$	3.26765	−	1.45485i	0.340676	−	0.151679i
$93$	6.14139	+	5.76854i	0.636832	+	0.598170i
$94$	1.11931	−	1.24312i	0.115448	−	0.128218i
$95$	0.459336	−	4.37029i	0.0471269	−	0.448382i
$96$	2.38868	−	5.07461i	0.243794	−	0.517926i
$97$	−4.96005	−	5.50870i	−0.503617	−	0.559323i	0.436707	−	0.899604i	$-0.356145\pi$
$97$	−4.96005	−	5.50870i	−0.503617	−	0.559323i	−0.940324	+	0.340280i	$0.889478\pi$
$98$	2.73516			0.276293
$99$	−9.89316	+	1.06082i	−0.994300	+	0.106617i
$100$	−4.48444			−0.448444
$101$	−9.17887	−	10.1942i	−0.913332	−	1.01436i	−0.999836	−	0.0181060i	$-0.994236\pi$
$101$	−9.17887	−	10.1942i	−0.913332	−	1.01436i	0.0865045	−	0.996251i	$-0.472430\pi$
$102$	2.12625	−	0.178287i	0.210530	−	0.0176531i
$103$	−0.530508	+	5.04744i	−0.0522725	+	0.497339i	0.936795	+	0.349878i	$0.113777\pi$
$103$	−0.530508	+	5.04744i	−0.0522725	+	0.497339i	−0.989068	+	0.147462i	$0.952890\pi$
$104$	−2.87933	+	3.19782i	−0.282341	+	0.313572i
$105$	−18.2957	+	5.52140i	−1.78548	+	0.538833i
$106$	−0.409454	+	0.182301i	−0.0397697	+	0.0177066i
$107$	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	$0.257113\pi$
$108$	1.45284	+	9.86338i	0.139800	+	0.949104i
$109$	−17.3573			−1.66253			−0.831263	−	0.555879i	$-0.812382\pi$
$109$	−17.3573			−1.66253			−0.831263	+	0.555879i	$0.812382\pi$
$110$	1.14441	+	2.29190i	0.109115	+	0.218524i
$111$	0.282539	−	13.4109i	0.0268174	−	1.27290i
$112$	14.0199	−	2.98001i	1.32475	−	0.281585i
$113$	0.862071	+	0.383819i	0.0810968	+	0.0361066i	0.446884	−	0.894592i	$-0.352534\pi$
$113$	0.862071	+	0.383819i	0.0810968	+	0.0361066i	−0.365787	+	0.930698i	$0.619200\pi$
$114$	0.310403	+	0.738669i	0.0290719	+	0.0691827i
$115$	4.93937	+	1.04989i	0.460598	+	0.0979032i
$116$	−2.10681	−	6.48408i	−0.195612	−	0.602032i
$117$	1.69044	−	11.4285i	0.156281	−	1.05657i
$118$	−2.62121	+	1.90442i	−0.241302	+	0.175316i
$119$	11.7751	+	13.0776i	1.07942	+	1.19882i
$120$	4.59435	−	2.52504i	0.419405	−	0.230504i
$121$	−6.60948	+	8.79288i	−0.600862	+	0.799353i
$122$	1.22720	+	2.12558i	0.111106	+	0.192441i
$123$	2.22897	+	11.6923i	0.200979	+	1.05426i
$124$	−0.975631	−	9.28251i	−0.0876143	−	0.833594i
$125$	5.83521	+	4.23953i	0.521917	+	0.379195i
$126$	2.43859	−	2.48900i	0.217247	−	0.221738i
$127$	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	$0.865325\pi$
$128$	−7.50917	+	3.34330i	−0.663723	+	0.295508i
$129$	−1.70009	+	0.142554i	−0.149684	+	0.0125511i
$130$	−2.90945	+	0.618422i	−0.255175	+	0.0542392i
$131$	−1.99869	−	3.46183i	−0.174626	−	0.302461i	0.765406	−	0.643548i	$-0.222538\pi$
$131$	−1.99869	−	3.46183i	−0.174626	−	0.302461i	−0.940032	+	0.341087i	$0.889205\pi$
$132$	9.06469	+	6.27031i	0.788980	+	0.545760i
$133$	−3.30407	+	5.72282i	−0.286500	+	0.496232i
$134$	−0.153371	+	0.472027i	−0.0132492	+	0.0407769i
$135$	−6.52541	+	12.4709i	−0.561618	+	1.07333i
$136$	−3.90547	−	2.83749i	−0.334892	−	0.243313i
$137$	−1.06545	−	0.226469i	−0.0910278	−	0.0193486i	0.162173	−	0.986762i	$-0.448150\pi$
$137$	−1.06545	−	0.226469i	−0.0910278	−	0.0193486i	−0.253200	+	0.967414i	$0.581483\pi$
$138$	−0.881465	+	0.266014i	−0.0750353	+	0.0226446i
$139$	−0.301557	+	2.86912i	−0.0255777	+	0.243356i	0.974261	+	0.225421i	$0.0723758\pi$
$139$	−0.301557	+	2.86912i	−0.0255777	+	0.243356i	−0.999839	+	0.0179347i	$0.994291\pi$
$140$	19.3398	+	8.61062i	1.63451	+	0.727731i
$141$	7.69249	−	6.63836i	0.647824	−	0.559050i
$142$	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
$146$	0.120614	+	1.14757i	0.00998210	+	0.0949733i
$147$	16.4827	+	2.08427i	1.35947	+	0.171908i
$148$	−9.94279	+	11.0426i	−0.817293	+	0.907695i
$149$	13.4996	−	14.9928i	1.10593	−	1.22826i	0.134504	−	0.990913i	$-0.457056\pi$
$149$	13.4996	−	14.9928i	1.10593	−	1.22826i	0.971425	−	0.237346i	$-0.0762774\pi$
$150$	1.14522	+	0.144816i	0.0935070	+	0.0118242i
$151$	1.15800	+	11.0177i	0.0942370	+	0.896605i	0.934868	+	0.354996i	$0.115518\pi$
$151$	1.15800	+	11.0177i	0.0942370	+	0.896605i	−0.840631	+	0.541609i	$0.817815\pi$
$152$	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
$156$	−9.68885	+	8.36115i	−0.775729	+	0.669428i
$157$	0.304014	+	0.135356i	0.0242629	+	0.0108025i	0.418832	−	0.908064i	$-0.362440\pi$
$157$	0.304014	+	0.135356i	0.0242629	+	0.0108025i	−0.394569	+	0.918866i	$0.629106\pi$
$158$	0.127575	−	1.21379i	0.0101493	−	0.0965640i
$159$	−2.60638	+	0.786569i	−0.206699	+	0.0623790i
$160$	−8.57970	−	1.82367i	−0.678285	−	0.144174i
$161$	−6.14339	−	4.46344i	−0.484167	−	0.351768i
$162$	−0.0525050	−	2.56580i	−0.00412518	−	0.201588i
$163$	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
$165$	5.14995	+	14.6836i	0.400923	+	1.14311i
$166$	0.926759	+	1.60519i	0.0719304	+	0.124587i
$167$	18.5018	−	3.93268i	1.43171	−	0.304320i	0.574172	−	0.818735i	$-0.305324\pi$
$167$	18.5018	−	3.93268i	1.43171	−	0.304320i	0.857541	+	0.514415i	$0.171991\pi$
$168$	−7.85600	+	0.658730i	−0.606103	+	0.0508221i
$169$	1.67166	−	0.744272i	0.128589	−	0.0572517i
$170$	−1.03115	−	3.17357i	−0.0790860	−	0.243402i
$171$	1.30767	+	4.68791i	0.0999999	+	0.358494i
$172$	1.52896	+	1.11085i	0.116582	+	0.0847016i
$173$	0.158265	+	1.50579i	0.0120327	+	0.114483i	0.998890	−	0.0471135i	$-0.0150022\pi$
$173$	0.158265	+	1.50579i	0.0120327	+	0.114483i	−0.986857	+	0.161597i	$0.948336\pi$
$174$	0.328640	+	1.72392i	0.0249141	+	0.130690i
$175$	4.76018	+	8.24487i	0.359836	+	0.623254i
$176$	−2.92877	−	11.2969i	−0.220764	−	0.851537i
$177$	−17.2472	+	9.47903i	−1.29638	+	0.712487i
$178$	1.76729	+	1.96277i	0.132464	+	0.147116i
$179$	−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	$0.464065\pi$
$180$	14.4981	−	5.73617i	1.08063	−	0.427549i
$181$	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	$0.866830\pi$
$182$	4.37516	+	0.929969i	0.324308	+	0.0689339i
$183$	5.77565	+	13.7444i	0.426948	+	1.01601i
$184$	1.90302	+	0.847278i	0.140292	+	0.0624621i
$185$	−20.5193	+	4.36152i	−1.50861	+	0.320665i
$186$	−0.0506061	+	2.40205i	−0.00371062	+	0.176127i
$187$	10.2138	−	10.0491i	0.746908	−	0.734861i
$188$	−11.2557			−0.820907
$189$	16.5922	−	13.1410i	1.20690	−	0.955867i
$190$	1.01374	−	0.736522i	0.0735441	−	0.0534329i
$191$	−15.2942	+	6.80940i	−1.10665	+	0.492711i	−0.876965	−	0.480555i	$-0.840435\pi$
$191$	−15.2942	+	6.80940i	−1.10665	+	0.492711i	−0.229682	+	0.973266i	$0.573769\pi$
$192$	−10.1384	+	3.05962i	−0.731675	+	0.220809i
$193$	−14.7472	+	16.3784i	−1.06153	+	1.17895i	−0.0782316	+	0.996935i	$0.524927\pi$
$193$	−14.7472	+	16.3784i	−1.06153	+	1.17895i	−0.983296	+	0.182011i	$0.941739\pi$
$194$	0.220943	−	2.10214i	0.0158628	−	0.150925i
$195$	−18.0042	+	1.50966i	−1.28931	+	0.108109i
$196$	−12.3148	−	13.6770i	−0.879629	−	0.976927i
$197$	18.2247			1.29845			0.649227	−	0.760595i	$-0.275093\pi$
$197$	18.2247			1.29845			0.649227	+	0.760595i	$0.275093\pi$
$198$	−2.11243	−	1.89402i	−0.150124	−	0.134602i
$199$	−25.0958			−1.77899			−0.889497	−	0.456942i	$-0.848945\pi$
$199$	−25.0958			−1.77899			−0.889497	+	0.456942i	$0.848945\pi$
$200$	−1.74753	−	1.94083i	−0.123569	−	0.137238i
$201$	−1.28395	+	2.72767i	−0.0905625	+	0.192395i
$202$	0.408869	−	3.89012i	0.0287679	−	0.273708i
$203$	−9.68497	+	10.7563i	−0.679752	+	0.754941i
$204$	−10.4648	−	9.82945i	−0.732680	−	0.688199i
$205$	17.0055	−	7.57133i	1.18771	−	0.528804i
$206$	−1.17081	+	0.850642i	−0.0815741	+	0.0592670i
$207$	−5.51461	+	0.931355i	−0.383292	+	0.0647337i
$208$	13.5506			0.939563
$209$	4.77408	+	2.48161i	0.330230	+	0.171657i
$210$	−4.66087	−	2.82350i	−0.321631	−	0.194840i
$211$	−8.08930	+	1.71943i	−0.556891	+	0.118371i	−0.477755	−	0.878493i	$-0.658549\pi$
$211$	−8.08930	+	1.71943i	−0.556891	+	0.118371i	−0.0791356	+	0.996864i	$0.525216\pi$
$212$	2.75511	+	1.22666i	0.189222	+	0.0842470i
$213$	6.01329	−	7.92023i	0.412024	−	0.542685i
$214$	0.775105	+	0.164754i	0.0529851	+	0.0112623i
$215$	0.824482	+	2.53749i	0.0562292	+	0.173056i
$216$	−3.70265	+	4.47243i	−0.251933	+	0.304310i
$217$	−16.0308	+	11.6470i	−1.08824	+	0.790652i
$218$	−3.31180	−	3.67812i	−0.224303	−	0.249114i
$219$	−0.147631	+	7.00740i	−0.00997600	+	0.473516i
$220$	6.30790	−	16.0416i	0.425279	−	1.08152i
$221$	8.31846	+	14.4080i	0.559560	+	0.969187i
$222$	2.89576	−	2.49894i	0.194351	−	0.167718i
$223$	0.768502	+	7.31181i	0.0514627	+	0.489635i	0.989650	+	0.143506i	$0.0458375\pi$
$223$	0.768502	+	7.31181i	0.0514627	+	0.489635i	−0.938187	+	0.346129i	$0.887496\pi$
$224$	10.6711	+	7.75301i	0.712993	+	0.518020i
$225$	6.79101	+	1.74538i	0.452734	+	0.116359i
$226$	0.0831507	+	0.255912i	0.00553110	+	0.0170230i
$227$	−17.3036	+	7.70408i	−1.14848	+	0.511338i	−0.890577	−	0.454832i	$-0.849699\pi$
$227$	−17.3036	+	7.70408i	−1.14848	+	0.511338i	−0.257906	+	0.966170i	$0.583032\pi$
$228$	2.29610	−	4.87793i	0.152063	−	0.323049i
$229$	7.68770	−	1.63407i	0.508017	−	0.107982i	0.0532297	−	0.998582i	$-0.483048\pi$
$229$	7.68770	−	1.63407i	0.508017	−	0.107982i	0.454788	+	0.890600i	$0.349715\pi$
$230$	0.719959	+	1.24701i	0.0474727	+	0.0822251i
$231$	1.90623	−	23.3218i	0.125421	−	1.53446i
$232$	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	$0.169037\pi$
$234$	2.74432	−	1.82236i	0.179402	−	0.119132i
$235$	−12.8556	−	9.34013i	−0.838606	−	0.609283i
$236$	21.3247	+	4.53271i	1.38812	+	0.295054i
$237$	1.69374	−	7.21736i	0.110020	−	0.468818i
$238$	−0.524517	+	4.99045i	−0.0339994	+	0.323483i
$239$	−23.3377	−	10.3906i	−1.50959	−	0.672113i	−0.525664	−	0.850692i	$-0.676183\pi$
$239$	−23.3377	−	10.3906i	−1.50959	−	0.672113i	−0.983925	+	0.178580i	$0.942850\pi$
$240$	−15.5899	−	5.43108i	−1.00632	−	0.350575i
$241$	1.49099	−	2.58247i	0.0960432	−	0.166352i	−0.814000	−	0.580864i	$-0.802715\pi$
$241$	1.49099	−	2.58247i	0.0960432	−	0.166352i	0.910044	+	0.414513i	$0.136048\pi$
$242$	−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
$245$	−2.71589	−	25.8400i	−0.173512	−	1.65086i
$246$	−2.05239	+	2.70325i	−0.130856	+	0.172353i
$247$	−4.18032	+	4.64271i	−0.265987	+	0.295409i
$248$	3.63722	−	4.03954i	0.230963	−	0.256511i
$249$	4.36165	+	10.3795i	0.276408	+	0.657772i
$250$	0.214983	+	2.04543i	0.0135967	+	0.129364i
$251$	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
$255$	−3.79562	−	19.9104i	−0.237691	−	1.24684i
$256$	9.02987	+	4.02036i	0.564367	+	0.251272i
$257$	−2.16630	+	20.6109i	−0.135130	+	1.28567i	0.691273	+	0.722594i	$0.257050\pi$
$257$	−2.16630	+	20.6109i	−0.135130	+	1.28567i	−0.826402	+	0.563080i	$0.809616\pi$
$258$	−0.354587	−	0.333060i	−0.0220757	−	0.0207354i
$259$	30.8565	+	6.55876i	1.91733	+	0.407541i
$260$	16.1919	+	11.7641i	1.00418	+	0.729578i
$261$	0.666778	+	10.6392i	0.0412725	+	0.658547i
$262$	0.352231	−	1.08406i	0.0217609	−	0.0669732i
$263$	−4.54273	+	7.86823i	−0.280117	+	0.485176i	−0.971413	−	0.237395i	$-0.923706\pi$
$263$	−4.54273	+	7.86823i	−0.280117	+	0.485176i	0.691297	+	0.722571i	$0.257040\pi$
$264$	0.818659	+	6.36660i	0.0503850	+	0.391837i
$265$	2.12883	+	3.68724i	0.130773	+	0.226505i
$266$	−1.84313	+	0.391769i	−0.113009	+	0.0240209i
$267$	9.15437	+	13.1748i	0.560238	+	0.806285i
$268$	3.05088	−	1.35834i	0.186362	−	0.0829737i
$269$	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	$0.822166\pi$
$270$	−3.88773	+	0.996698i	−0.236600	+	0.0606571i
$271$	−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	$0.736077\pi$
$272$	1.58901	+	15.1185i	0.0963481	+	0.916691i
$273$	25.6570	+	8.93820i	1.55283	+	0.540964i
$274$	−0.155300	−	0.268987i	−0.00938201	−	0.0162501i
$275$	6.53527	−	4.16891i	0.394092	−	0.251395i
$276$	5.29890	+	3.21000i	0.318956	+	0.193219i
$277$	−2.61004	−	2.89874i	−0.156822	−	0.174168i	0.659614	−	0.751605i	$-0.270720\pi$
$277$	−2.61004	−	2.89874i	−0.156822	−	0.174168i	−0.816436	+	0.577436i	$0.804053\pi$
$278$	−0.665523	+	0.483531i	−0.0399154	+	0.0290003i
$279$	−2.13539	+	14.4367i	−0.127843	+	0.864302i
$280$	3.80987	+	11.7256i	0.227684	+	0.700738i
$281$	−0.0387572	−	0.00823810i	−0.00231206	−	0.000491444i	0.206756	−	0.978393i	$-0.433710\pi$
$281$	−0.0387572	−	0.00823810i	−0.00231206	−	0.000491444i	−0.209068	+	0.977901i	$0.567043\pi$
$282$	2.87445	+	0.363480i	0.171171	+	0.0216449i
$283$	5.84109	+	2.60062i	0.347217	+	0.154591i	0.572933	−	0.819602i	$-0.305806\pi$
$283$	5.84109	+	2.60062i	0.347217	+	0.154591i	−0.225716	+	0.974193i	$0.572472\pi$
$284$	−10.7752	+	2.29033i	−0.639389	+	0.135906i
$285$	6.67024	−	3.66595i	0.395111	−	0.217152i
$286$	0.598955	−	3.59238i	0.0354169	−	0.212422i
$287$	−27.9925			−1.65235
$288$	9.57890	−	1.61777i	0.564442	−	0.0953279i
$289$	−1.34634	+	0.978174i	−0.0791965	+	0.0575397i
$290$	2.50729	−	1.11632i	0.147233	−	0.0655524i
$291$	2.93334	−	12.4996i	0.171955	−	0.732737i
$292$	5.19528	−	5.76994i	0.304031	−	0.337660i
$293$	2.44674	−	23.2792i	0.142940	−	1.35998i	−0.654260	−	0.756270i	$-0.727020\pi$
$293$	2.44674	−	23.2792i	0.142940	−	1.35998i	0.797200	−	0.603715i	$-0.206314\pi$
$294$	2.70325	+	3.89047i	0.157657	+	0.226897i
$295$	20.5945	+	22.8725i	1.19906	+	1.33169i
$296$	−8.65375			−0.502989
$297$	−11.2866	−	13.0235i	−0.654918	−	0.755700i
$298$	5.75282			0.333252
$299$	−4.80375	−	5.33510i	−0.277808	−	0.308537i
$300$	−4.43212	−	6.37863i	−0.255888	−	0.368270i
$301$	0.419389	−	3.99022i	0.0241732	−	0.229992i
$302$	−2.11377	+	2.34758i	−0.121634	+	0.135088i
$303$	5.42832	−	23.1312i	0.311849	−	1.32885i
$304$	−5.21493	+	2.32184i	−0.299097	+	0.133166i
$305$	18.8625	−	13.7044i	1.08007	−	0.784713i
$306$	2.35504	+	2.84815i	0.134629	+	0.162818i
$307$	29.1494			1.66365			0.831823	−	0.555042i	$-0.187298\pi$
$307$	29.1494			1.66365			0.831823	+	0.555042i	$0.187298\pi$
$308$	−18.4773	+	18.1793i	−1.05284	+	1.03586i
$309$	−7.70376	+	4.23397i	−0.438252	+	0.240862i
$310$	3.67526	−	0.781200i	0.208741	−	0.0443692i
$311$	−18.0021	−	8.01504i	−1.02080	−	0.454491i	−0.173068	−	0.984910i	$-0.555368\pi$
$311$	−18.0021	−	8.01504i	−1.02080	−	0.454491i	−0.847736	+	0.530418i	$0.822035\pi$
$312$	−7.39429	−	0.935024i	−0.418619	−	0.0529353i
$313$	−1.30913	−	0.278264i	−0.0739964	−	0.0157284i	0.170765	−	0.985312i	$-0.445376\pi$
$313$	−1.30913	−	0.278264i	−0.0739964	−	0.0157284i	−0.244761	+	0.969583i	$0.578710\pi$
$314$	0.0293235	+	0.0902485i	0.00165482	+	0.00509302i
$315$	−25.9359	−	20.5667i	−1.46132	−	1.15880i
$316$	−6.64387	+	4.82706i	−0.373747	+	0.271543i
$317$	2.67712	+	2.97324i	0.150362	+	0.166994i	0.813620	−	0.581397i	$-0.197494\pi$
$317$	2.67712	+	2.97324i	0.150362	+	0.166994i	−0.663258	+	0.748391i	$0.730827\pi$
$318$	−0.663980	−	0.402230i	−0.0372342	−	0.0225560i
$319$	9.09815	+	7.49083i	0.509399	+	0.419406i
$320$	8.28080	+	14.3428i	0.462911	+	0.801785i
$321$	4.54540	+	1.58349i	0.253700	+	0.0883820i
$322$	−0.226337	−	2.15346i	−0.0126133	−	0.120007i
$323$	−5.67011	−	4.11958i	−0.315493	−	0.229219i
$324$	−12.5937	+	11.8148i	−0.699650	+	0.656379i
$325$	2.78134	+	8.56008i	0.154281	+	0.474828i
$326$	3.47451	−	1.54695i	0.192435	−	0.0856776i
$327$	−17.1548	−	24.6889i	−0.948661	−	1.36530i
$328$	7.51119	−	1.59655i	0.414736	−	0.0881548i
$329$	11.9478	+	20.6942i	0.658704	+	1.14091i
$330$	−2.12892	+	3.89295i	−0.117193	+	0.214300i
$331$	−1.59017	+	2.75425i	−0.0874034	+	0.151387i	−0.906413	−	0.422393i	$-0.861190\pi$
$331$	−1.59017	+	2.75425i	−0.0874034	+	0.151387i	0.819009	+	0.573780i	$0.194524\pi$
$332$	3.85401	−	11.8614i	0.211516	−	0.650980i
$333$	19.3548	−	12.8525i	1.06063	−	0.704314i
$334$	4.36353	+	3.17029i	0.238762	+	0.173471i
$335$	4.61169	+	0.980246i	0.251964	+	0.0535566i
$336$	18.0950	+	16.9965i	0.987165	+	0.927234i
$337$	1.90219	−	18.0981i	0.103619	−	0.985867i	−0.811956	−	0.583719i	$-0.801597\pi$
$337$	1.90219	−	18.0981i	0.103619	−	0.985867i	0.915575	−	0.402148i	$-0.131736\pi$
$338$	0.476672	+	0.212228i	0.0259275	+	0.0115437i
$339$	0.306073	+	1.60554i	0.0166236	+	0.0872011i
$340$	−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
$344$	0.115048	+	1.09461i	0.00620297	+	0.0590173i
$345$	3.38838	+	8.06336i	0.182424	+	0.434117i
$346$	−0.288890	+	0.320845i	−0.0155308	+	0.0172487i
$347$	−18.3436	+	20.3726i	−0.984737	+	1.09366i	0.0108618	+	0.999941i	$0.496543\pi$
$347$	−18.3436	+	20.3726i	−0.984737	+	1.09366i	−0.995599	+	0.0937200i	$0.970124\pi$
$348$	7.14068	−	9.40514i	0.382781	−	0.504168i
$349$	−2.39428	−	22.7800i	−0.128163	−	1.21939i	−0.849796	−	0.527112i	$-0.823275\pi$
$349$	−2.39428	−	22.7800i	−0.128163	−	1.21939i	0.721633	−	0.692276i	$-0.243392\pi$
$350$	−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	−0.135140	−	0.990827i	$-0.543148\pi$
$353$	14.8524	−	25.7250i	0.790511	−	1.36921i	0.925651	−	0.378379i	$-0.123518\pi$
$354$	−5.29947	−	1.84619i	−0.281663	−	0.0981237i
$355$	−14.2073	−	6.32550i	−0.754045	−	0.335722i
$356$	1.85765	−	17.6744i	0.0984554	−	0.936741i
$357$	−6.96372	+	29.6739i	−0.368559	+	1.57051i
$358$	−3.67871	−	0.781933i	−0.194426	−	0.0413265i
$359$	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	$0.274644\pi$
$360$	8.13234	+	4.03938i	0.428612	+	0.212894i
$361$	−5.05804	+	15.5670i	−0.266213	+	0.819318i
$362$	−0.399041	+	0.691159i	−0.0209731	+	0.0363265i
$363$	−19.0393	−	0.710974i	−0.999303	−	0.0373164i
$364$	−15.0485	−	26.0648i	−0.788756	−	1.36617i
$365$	10.7217	−	2.27897i	0.561199	−	0.119287i
$366$	−1.81052	+	3.84635i	−0.0946374	+	0.201052i
$367$	−22.7113	+	10.1117i	−1.18552	+	0.527828i	−0.902251	−	0.431212i	$-0.858086\pi$
$367$	−22.7113	+	10.1117i	−1.18552	+	0.527828i	−0.283270	+	0.959040i	$0.591419\pi$
$368$	−2.02708	−	6.23872i	−0.105669	−	0.325216i
$369$	−14.4281	+	14.7264i	−0.751098	+	0.766625i
$370$	−4.83936	−	3.51600i	−0.251586	−	0.182788i
$371$	−0.669251	−	6.36750i	−0.0347458	−	0.330584i
$372$	12.2391	−	10.5619i	0.634569	−	0.547611i
$373$	−9.13952	−	15.8301i	−0.473227	−	0.819653i	0.526304	−	0.850297i	$-0.323578\pi$
$373$	−9.13952	−	15.8301i	−0.473227	−	0.819653i	−0.999530	+	0.0306440i	$0.990244\pi$
$374$	4.07828	+	0.246996i	0.210883	+	0.0127719i
$375$	−0.263138	+	12.4900i	−0.0135884	+	0.644981i
$376$	−4.38622	−	4.87139i	−0.226202	−	0.251223i
$377$	−11.0704	+	8.04312i	−0.570155	+	0.414242i
$378$	5.95047	+	1.00867i	0.306059	+	0.0518802i
$379$	−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	$-0.399438\pi$
$380$	−8.24717	−	1.75299i	−0.423071	−	0.0899265i
$381$	−2.56646	+	3.38034i	−0.131484	+	0.173180i
$382$	−4.36111	−	1.94169i	−0.223134	−	0.0993455i
$383$	12.1601	−	2.58471i	0.621352	−	0.132073i	0.113530	−	0.993535i	$-0.463784\pi$
$383$	12.1601	−	2.58471i	0.621352	−	0.132073i	0.507822	+	0.861462i	$0.330451\pi$
$384$	−12.1770	−	7.37668i	−0.621407	−	0.376440i
$385$	−36.1891	+	5.43056i	−1.84437	+	0.276767i
$386$	−6.28449			−0.319872
$387$	−1.88302	−	2.27730i	−0.0957193	−	0.115762i
$388$	−11.5064	+	8.35986i	−0.584147	+	0.424408i
$389$	6.68686	−	2.97718i	0.339037	−	0.150949i	−0.230154	−	0.973154i	$-0.573923\pi$
$389$	6.68686	−	2.97718i	0.339037	−	0.150949i	0.569191	+	0.822205i	$0.307256\pi$
$390$	−3.75514	−	3.52716i	−0.190149	−	0.178605i
$391$	5.38909	−	5.98520i	0.272538	−	0.302684i
$392$	1.12036	−	10.6595i	0.0565868	−	0.538388i
$393$	2.94871	−	6.26435i	0.148743	−	0.315995i
$394$	3.47729	+	3.86193i	0.175184	+	0.194561i
$395$	−11.5938			−0.583346
$396$	0.0400930	+	19.0907i	0.00201475	+	0.959343i
$397$	34.2087			1.71688			0.858442	−	0.512911i	$-0.171433\pi$
$397$	34.2087			1.71688			0.858442	+	0.512911i	$0.171433\pi$
$398$	−4.78831	−	5.31796i	−0.240016	−	0.266565i
$399$	−11.4056	+	0.956369i	−0.570995	+	0.0478783i
$400$	−0.859660	+	8.17911i	−0.0429830	+	0.408956i
$401$	5.00227	−	5.55558i	0.249801	−	0.277433i	−0.605183	−	0.796086i	$-0.706900\pi$
$401$	5.00227	−	5.55558i	0.249801	−	0.277433i	0.854984	+	0.518654i	$0.173567\pi$
$402$	−0.822989	+	0.248367i	−0.0410470	+	0.0123874i
$403$	−17.1137	+	7.61953i	−0.852496	+	0.379556i
$404$	−21.2932	+	15.4704i	−1.05938	+	0.769682i
$405$	−24.1878	+	3.04376i	−1.20190	+	0.151246i
$406$	−4.12723			−0.204831
$407$	4.22423	−	25.3358i	0.209387	−	1.25585i
$408$	0.176117	−	8.35950i	0.00871910	−	0.413857i
$409$	−2.35753	+	0.501108i	−0.116572	+	0.0247782i	−0.265828	−	0.964020i	$-0.585645\pi$
$409$	−2.35753	+	0.501108i	−0.116572	+	0.0247782i	0.149256	+	0.988799i	$0.452312\pi$
$410$	4.84908	+	2.15895i	0.239479	+	0.106623i
$411$	−0.730895	−	1.73932i	−0.0360524	−	0.0857943i
$412$	9.52503	+	2.02461i	0.469265	+	0.0997453i
$413$	−14.3023	−	44.0180i	−0.703771	−	2.16598i
$414$	−1.24956	−	0.990878i	−0.0614123	−	0.0486990i
$415$	14.2446	−	10.3493i	0.699239	−	0.508027i
$416$	8.34413	+	9.26709i	0.409104	+	0.454357i
$417$	−4.37905	+	2.40672i	−0.214443	+	0.117857i
$418$	0.385032	+	1.48515i	0.0188325	+	0.0726412i
$419$	5.60088	+	9.70101i	0.273621	+	0.473925i	0.969786	−	0.243956i	$-0.0784453\pi$
$419$	5.60088	+	9.70101i	0.273621	+	0.473925i	−0.696165	+	0.717881i	$0.745112\pi$
$420$	6.86646	+	36.0189i	0.335049	+	1.75754i
$421$	0.721755	+	6.86704i	0.0351762	+	0.334679i	0.997931	+	0.0643013i	$0.0204819\pi$
$421$	0.721755	+	6.86704i	0.0351762	+	0.334679i	−0.962754	+	0.270378i	$0.912851\pi$
$422$	−1.90781	−	1.38611i	−0.0928708	−	0.0674746i
$423$	17.0451	+	4.38082i	0.828760	+	0.213003i
$424$	0.542748	+	1.67041i	0.0263582	+	0.0811222i
$425$	−9.22439	+	4.10696i	−0.447449	+	0.199217i
$426$	2.82569	−	0.236936i	0.136905	−	0.0114796i
$427$	−34.2950	+	7.28962i	−1.65965	+	0.352770i
$428$	−2.66600	−	4.61765i	−0.128866	−	0.223202i
$429$	6.34693	−	21.1920i	0.306433	−	1.02316i
$430$	−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	$0.851938\pi$
$432$	18.2682	−	0.759031i	0.878930	−	0.0365189i
$433$	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	$0.358942\pi$
$434$	−5.52677	−	1.17475i	−0.265294	−	0.0563899i
$435$	15.9602	−	4.81655i	0.765231	−	0.230936i
$436$	−3.48114	+	33.1208i	−0.166716	+	1.58620i
$437$	2.76287	+	1.23011i	0.132166	+	0.0588441i
$438$	−1.51308	+	1.30574i	−0.0722979	+	0.0623906i
$439$	10.7487	−	18.6173i	0.513009	−	0.888557i	−0.486877	−	0.873470i	$-0.661864\pi$
$439$	10.7487	−	18.6173i	0.513009	−	0.888557i	0.999886	−	0.0150869i	$-0.00480250\pi$
$440$	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
$443$	3.49595	+	33.2618i	0.166098	+	1.58031i	0.686974	+	0.726682i	$0.258939\pi$
$443$	3.49595	+	33.2618i	0.166098	+	1.58031i	−0.520876	+	0.853633i	$0.674395\pi$
$444$	−25.5337	−	3.22879i	−1.21177	−	0.153232i
$445$	16.7881	−	18.6451i	0.795834	−	0.883863i
$446$	−1.40279	+	1.55795i	−0.0664240	+	0.0737713i
$447$	34.6677	+	4.38381i	1.63973	+	0.207347i
$448$	−2.60328	−	24.7685i	−0.122993	−	1.17020i
$449$	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
$453$	−14.5269	+	12.5363i	−0.682535	+	0.589005i
$454$	−4.93411	−	2.19681i	−0.231569	−	0.103101i
$455$	4.44140	−	42.2571i	0.208216	−	1.98104i
$456$	3.00590	−	0.907139i	0.140764	−	0.0424807i
$457$	−36.6926	−	7.79925i	−1.71641	−	0.364834i	−0.758447	−	0.651735i	$-0.774041\pi$
$457$	−36.6926	−	7.79925i	−1.71641	−	0.364834i	−0.957960	+	0.286901i	$0.907375\pi$
$458$	1.81309	+	1.31729i	0.0847204	+	0.0615529i
$459$	12.0216	+	18.9582i	0.561120	+	0.884893i
$460$	2.99402	−	9.21464i	0.139597	−	0.429635i
$461$	−9.68265	+	16.7708i	−0.450966	+	0.781096i	−0.998446	−	0.0557228i	$-0.982254\pi$
$461$	−9.68265	+	16.7708i	−0.450966	+	0.781096i	0.547480	+	0.836818i	$0.315587\pi$
$462$	5.30574	−	4.04588i	0.246846	−	0.188232i
$463$	7.17464	+	12.4268i	0.333434	+	0.577524i	0.983183	−	0.182625i	$-0.0584594\pi$
$463$	7.17464	+	12.4268i	0.333434	+	0.577524i	−0.649749	+	0.760149i	$0.725126\pi$
$464$	−12.2301	+	2.59959i	−0.567769	+	0.120683i
$465$	22.7432	−	1.90703i	1.05469	−	0.0884365i
$466$	−1.71131	+	0.761923i	−0.0792748	+	0.0352954i
$467$	−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	$-0.272745\pi$
$468$	−21.4686	−	5.51774i	−0.992389	−	0.255058i
$469$	−5.73585	−	4.16734i	−0.264857	−	0.192430i
$470$	−0.473631	−	4.50629i	−0.0218469	−	0.207860i
$471$	0.107938	+	0.566203i	0.00497352	+	0.0260892i
$472$	6.34827	+	10.9955i	0.292203	+	0.506110i
$473$	−3.26087	−	0.197491i	−0.149935	−	0.00908065i
$474$	1.85257	−	1.01817i	0.0850915	−	0.0467660i
$475$	−2.53713	−	2.81777i	−0.116412	−	0.129288i
$476$	27.3160	−	19.8462i	1.25203	−	0.909651i
$477$	−3.69478	−	2.92990i	−0.169172	−	0.134151i
$478$	−2.25103	−	6.92795i	−0.102960	−	0.316877i
$479$	22.7533	+	4.83637i	1.03963	+	0.220979i	0.695936	−	0.718104i	$-0.254990\pi$
$479$	22.7533	+	4.83637i	1.03963	+	0.220979i	0.343690	+	0.939083i	$0.388323\pi$
$480$	−5.88563	−	14.0061i	−0.268641	−	0.639288i
$481$	27.2453	+	12.1304i	1.24228	+	0.553098i
$482$	0.831726	−	0.176789i	0.0378841	−	0.00805251i
$483$	0.277036	−	13.1497i	0.0126056	−	0.598331i
$484$	15.4528	+	14.3756i	0.702401	+	0.653434i
$485$	−20.0790			−0.911740
$486$	3.59768	−	2.61055i	0.163194	−	0.118417i
$487$	−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	$0.301953\pi$
$488$	8.78654	−	3.91202i	0.397748	−	0.177089i
$489$	22.1170	−	6.67459i	1.00016	−	0.301835i
$490$	4.95747	−	5.50583i	0.223956	−	0.248728i
$491$	0.439705	−	4.18351i	0.0198436	−	0.188799i	−0.980110	−	0.198456i	$-0.936407\pi$
$491$	0.439705	−	4.18351i	0.0198436	−	0.188799i	0.999953	+	0.00965687i	$0.00307392\pi$
$492$	22.7581	−	1.90828i	1.02602	−	0.0860321i
$493$	−10.2719	−	11.4081i	−0.462625	−	0.513797i
$494$	−1.78143			−0.0801504
$495$	−15.7959	+	21.8375i	−0.709973	+	0.981522i
$496$	−17.1173			−0.768589
$497$	15.6486	+	17.3796i	0.701936	+	0.779579i
$498$	−1.36727	+	2.90468i	−0.0612687	+	0.130162i
$499$	1.60600	−	15.2801i	0.0718944	−	0.684030i	−0.897916	−	0.440168i	$-0.854919\pi$
$499$	1.60600	−	15.2801i	0.0718944	−	0.684030i	0.969810	−	0.243862i	$-0.0784144\pi$
$500$	9.26007	−	10.2844i	0.414123	−	0.459930i
$501$	23.8798	+	22.4300i	1.06687	+	1.00210i
$502$	3.03960	−	1.35332i	0.135664	−	0.0604016i
$503$	−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	$0.327823\pi$
$504$	−8.70131	−	10.5233i	−0.387587	−	0.468743i
$505$	−37.1573			−1.65348
$506$	−1.74354	+	0.261637i	−0.0775099	+	0.0116312i
$507$	2.71081	+	1.64217i	0.120391	+	0.0729314i
$508$	4.59882	−	0.977510i	0.204040	−	0.0433700i
$509$	26.0812	+	11.6121i	1.15603	+	0.514696i	0.892984	−	0.450088i	$-0.148607\pi$
$509$	26.0812	+	11.6121i	1.15603	+	0.514696i	0.263043	+	0.964784i	$0.415274\pi$
$510$	3.49493	−	4.60325i	0.154758	−	0.203835i
$511$	−16.1231	−	3.42706i	−0.713242	−	0.151604i
$512$	5.95109	+	18.3156i	0.263004	+	0.809442i
$513$	−5.37564	+	6.49324i	−0.237340	+	0.286683i
$514$	−4.78092	+	3.47354i	−0.210877	+	0.153211i
$515$	9.19887	+	10.2164i	0.405351	+	0.450187i
$516$	−0.0689482	+	3.27266i	−0.00303528	+	0.144071i
$517$	16.4032	−	10.4637i	0.721411	−	0.460195i
$518$	4.49763	+	7.79012i	0.197615	+	0.342278i
$519$	−1.98541	+	1.71334i	−0.0871498	+	0.0752073i
$520$	1.21838	+	11.5921i	0.0534293	+	0.508346i
$521$	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	$0.598768\pi$
$522$	−2.12729	+	2.17126i	−0.0931088	+	0.0950336i
$523$	−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	$-0.358130\pi$
$524$	−7.00664	+	3.11956i	−0.306086	+	0.136278i
$525$	−7.02279	+	14.9195i	−0.306500	+	0.651141i
$526$	−2.53409	+	0.538637i	−0.110492	+	0.0234857i
$527$	−10.5080	−	18.2004i	−0.457736	−	0.792822i
$528$	13.1740	−	15.3310i	0.573326	−	0.667195i
$529$	9.76231	−	16.9088i	0.424448	−	0.735166i
$530$	−0.375166	+	1.15464i	−0.0162962	+	0.0501545i
$531$	−30.5289	−	15.1639i	−1.32484	−	0.658056i
$532$	10.2575	+	7.45252i	0.444720	+	0.323108i
$533$	−25.8860	−	5.50224i	−1.12125	−	0.238329i
$534$	−1.04516	+	4.45364i	−0.0452285	+	0.192728i
$535$	0.786839	−	7.48627i	0.0340180	−	0.323660i
$536$	1.77677	+	0.791070i	0.0767449	+	0.0341690i
$537$	−21.5728	−	7.51538i	−0.930937	−	0.324313i
$538$	−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	$0.890440\pi$
$542$	−0.110987	−	1.05597i	−0.00476731	−	0.0453579i
$543$	−2.93139	+	3.86100i	−0.125798	+	0.165691i
$544$	−9.36088	+	10.3963i	−0.401344	+	0.445738i
$545$	−31.4600	+	34.9399i	−1.34760	+	1.49666i
$546$	3.00134	+	7.14231i	0.128445	+	0.305663i
$547$	3.21390	+	30.5782i	0.137416	+	1.30743i	0.818195	+	0.574940i	$0.194975\pi$
$547$	3.21390	+	30.5782i	0.137416	+	1.30743i	−0.680779	+	0.732489i	$0.738359\pi$
$548$	−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
$552$	0.675654	+	3.54423i	0.0287577	+	0.150852i
$553$	15.9272	+	7.09124i	0.677293	+	0.301550i
$554$	0.116263	−	1.10617i	0.00493954	−	0.0469965i
$555$	−26.4837	−	24.8759i	−1.12417	−	1.05592i
$556$	5.41432	+	1.15085i	0.229618	+	0.0488069i
$557$	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	$0.650610\pi$
$558$	−3.46667	+	2.30204i	−0.146756	+	0.0974531i
$559$	1.17215	−	3.60751i	0.0495767	−	0.152581i
$560$	19.4122	−	33.6230i	0.820316	−	1.42083i
$561$	24.3884	+	4.59622i	1.02968	+	0.194052i
$562$	−0.00564923	−	0.00978475i	−0.000238298	−	0.000412745i
$563$	35.7742	−	7.60405i	1.50770	−	0.320472i	0.621369	−	0.783518i	$-0.286577\pi$
$563$	35.7742	−	7.60405i	1.50770	−	0.320472i	0.886335	+	0.463045i	$0.153243\pi$
$564$	−11.1244	−	16.0100i	−0.468421	−	0.674144i
$565$	2.33512	−	1.03966i	0.0982393	−	0.0437389i
$566$	0.563400	+	1.73397i	0.0236815	+	0.0728841i
$567$	35.0902	+	10.6129i	1.47365	+	0.445699i
$568$	−5.19020	−	3.77090i	−0.217776	−	0.158224i
$569$	−0.0158344	−	0.150654i	−0.000663811	−	0.00631574i	0.994185	−	0.107686i	$-0.0343441\pi$
$569$	−0.0158344	−	0.150654i	−0.000663811	−	0.00631574i	−0.994849	+	0.101370i	$0.967677\pi$
$570$	2.04953	+	0.714000i	0.0858454	+	0.0299062i
$571$	−21.6127	−	37.4343i	−0.904463	−	1.56658i	−0.821637	−	0.570012i	$-0.806939\pi$
$571$	−21.6127	−	37.4343i	−0.904463	−	1.56658i	−0.0828262	−	0.996564i	$-0.526395\pi$
$572$	−20.6602	+	13.1793i	−0.863845	+	0.551055i
$573$	−24.8014	−	15.0243i	−1.03609	−	0.627651i
$574$	−5.34102	−	5.93180i	−0.222930	−	0.247589i
$575$	3.52502	−	2.56108i	0.147003	−	0.106804i
$576$	−14.3721	−	11.3968i	−0.598837	−	0.474868i
$577$	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	$0.692674\pi$
$578$	−0.464165	−	0.0986614i	−0.0193067	−	0.00410377i
$579$	−37.8717	−	4.78896i	−1.57390	−	0.199022i
$580$	−16.8709	−	7.51142i	−0.700527	−	0.311895i
$581$	−25.8988	+	5.50497i	−1.07446	+	0.228385i
$582$	3.20842	−	1.76334i	0.132993	−	0.0730929i
$583$	−5.15543	+	0.773629i	−0.213516	+	0.0320404i
$584$	4.52173			0.187111
$585$	−19.9415	−	24.1170i	−0.824479	−	0.997115i
$586$	5.39985	−	3.92322i	0.223066	−	0.162067i
$587$	−20.7328	+	9.23084i	−0.855734	+	0.380997i	−0.787235	−	0.616654i	$-0.788488\pi$
$587$	−20.7328	+	9.23084i	−0.855734	+	0.380997i	−0.0684998	+	0.997651i	$0.521821\pi$
$588$	7.28289	−	31.0339i	0.300341	−	1.27982i
$589$	5.28064	−	5.86475i	0.217585	−	0.241653i
$590$	−0.917372	+	8.72821i	−0.0377676	+	0.359335i
$591$	18.0120	+	25.9226i	0.740916	+	1.06631i
$592$	18.2344	+	20.2514i	0.749431	+	0.832327i
$593$	−22.9308			−0.941656			−0.470828	−	0.882225i	$-0.656045\pi$
$593$	−22.9308			−0.941656			−0.470828	+	0.882225i	$0.656045\pi$
$594$	0.606256	−	4.87662i	0.0248750	−	0.200090i
$595$	47.6673			1.95417
$596$	−25.9015	−	28.7666i	−1.06097	−	1.17832i
$597$	−24.8030	−	35.6960i	−1.01512	−	1.46094i
$598$	0.213981	−	2.03589i	0.00875032	−	0.0832538i
$599$	−8.36460	+	9.28982i	−0.341768	+	0.379572i	−0.889386	−	0.457156i	$-0.848868\pi$
$599$	−8.36460	+	9.28982i	−0.341768	+	0.379572i	0.547618	+	0.836728i	$0.315535\pi$
$600$	1.03348	−	4.40387i	0.0421916	−	0.179787i
$601$	20.5354	−	9.14296i	0.837658	−	0.372949i	0.0573569	−	0.998354i	$-0.481733\pi$
$601$	20.5354	−	9.14296i	0.837658	−	0.372949i	0.780301	+	0.625405i	$0.215066\pi$
$602$	0.925574	−	0.672469i	0.0377236	−	0.0274078i
$603$	−5.14878	+	0.869570i	−0.209674	+	0.0354116i
$604$	21.2559			0.864892
$605$	5.72025	+	29.2418i	0.232561	+	1.18885i
$606$	5.93738	−	3.26317i	0.241190	−	0.132557i
$607$	−26.1212	+	5.55223i	−1.06023	+	0.225358i	−0.704843	−	0.709363i	$-0.748983\pi$
$607$	−26.1212	+	5.55223i	−1.06023	+	0.225358i	−0.355383	+	0.934721i	$0.615649\pi$
$608$	−4.79912	−	2.13670i	−0.194630	−	0.0866548i
$609$	−24.8716	−	3.14506i	−1.00785	−	0.127444i
$610$	6.50306	+	1.38227i	0.263301	+	0.0559664i
$611$	6.98102	+	21.4854i	0.282422	+	0.869205i
$612$	3.63865	−	24.5998i	0.147084	−	0.994386i
$613$	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	$-0.0412289\pi$
$614$	5.56175	+	6.17695i	0.224454	+	0.249282i
$615$	27.5765	+	16.7055i	1.11199	+	0.673629i
$616$	−15.0683	−	0.912593i	−0.607118	−	0.0367694i
$617$	−20.7128	−	35.8756i	−0.833864	−	1.44430i	−0.894952	−	0.446163i	$-0.852790\pi$
$617$	−20.7128	−	35.8756i	−0.833864	−	1.44430i	0.0610871	−	0.998132i	$-0.480543\pi$
$618$	−2.36709	−	0.824630i	−0.0952185	−	0.0331715i
$619$	−0.931532	−	8.86293i	−0.0374414	−	0.356231i	−0.997163	−	0.0752773i	$-0.976016\pi$
$619$	−0.931532	−	8.86293i	−0.0374414	−	0.356231i	0.959721	−	0.280954i	$-0.0906508\pi$
$620$	−20.4539	−	14.8606i	−0.821446	−	0.596816i
$621$	−6.77502	−	6.92344i	−0.271872	−	0.277828i
$622$	−1.73638	−	5.34404i	−0.0696227	−	0.214277i
$623$	−34.4672	+	15.3458i	−1.38090	+	0.614815i
$624$	13.3925	+	19.2742i	0.536128	+	0.771586i
$625$	30.5412	−	6.49173i	1.22165	−	0.259669i
$626$	−0.190818	−	0.330506i	−0.00762662	−	0.0132097i
$627$	1.18856	+	9.24327i	0.0474665	+	0.369141i
$628$	0.319255	−	0.552966i	0.0127397	−	0.0220657i
$629$	−10.3390	+	31.8202i	−0.412244	+	1.26876i
$630$	−0.590379	−	9.42014i	−0.0235213	−	0.375307i
$631$	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	$0.663996\pi$
$632$	−4.67816	−	0.994373i	−0.186087	−	0.0395540i
$633$	−10.4406	−	9.80678i	−0.414978	−	0.389785i
$634$	−0.119251	+	1.13460i	−0.00473606	+	0.0450606i
$635$	6.06365	+	2.69971i	0.240628	+	0.107135i
$636$	0.978185	+	5.13119i	0.0387876	+	0.203465i
$637$	−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
$641$	−2.80327	−	26.6713i	−0.110722	−	1.05345i	−0.898945	−	0.438062i	$-0.855665\pi$
$641$	−2.80327	−	26.6713i	−0.110722	−	1.05345i	0.788222	−	0.615390i	$-0.211002\pi$
$642$	0.531717	+	1.26533i	0.0209852	+	0.0499387i
$643$	9.46047	−	10.5069i	0.373085	−	0.414352i	−0.527140	−	0.849779i	$-0.676736\pi$
$643$	9.46047	−	10.5069i	0.373085	−	0.414352i	0.900224	+	0.435426i	$0.143402\pi$
$644$	−9.74915	+	10.8275i	−0.384170	+	0.426664i
$645$	−2.79445	+	3.68062i	−0.110031	+	0.144924i
$646$	−0.208900	−	1.98756i	−0.00821908	−	0.0781993i
$647$	−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
$651$	−32.4104	−	11.2909i	−1.27026	−	0.442524i
$652$	−23.3791	−	10.4090i	−0.915595	−	0.407649i
$653$	0.504698	−	4.80188i	0.0197504	−	0.187912i	−0.980199	−	0.198017i	$-0.936550\pi$
$653$	0.504698	−	4.80188i	0.0197504	−	0.187912i	0.999949	+	0.0101049i	$0.00321654\pi$
$654$	1.95857	−	8.34588i	0.0765863	−	0.326350i
$655$	−10.5912	−	2.25123i	−0.413833	−	0.0879629i
$656$	−19.5632	−	14.2135i	−0.763813	−	0.554942i
$657$	−10.1132	+	6.71566i	−0.394553	+	0.262003i
$658$	−2.10558	+	6.48030i	−0.0820840	+	0.252628i
$659$	11.0889	−	19.2065i	0.431961	−	0.748178i	−0.565082	−	0.825035i	$-0.691155\pi$
$659$	11.0889	−	19.2065i	0.431961	−	0.748178i	0.997042	+	0.0768574i	$0.0244886\pi$
$660$	29.0517	−	6.88213i	1.13084	−	0.267887i
$661$	13.6987	+	23.7269i	0.532820	+	0.922871i	0.999265	+	0.0383209i	$0.0122009\pi$
$661$	13.6987	+	23.7269i	0.532820	+	0.922871i	−0.466446	+	0.884550i	$0.654466\pi$
$662$	−0.887049	+	0.188548i	−0.0344761	+	0.00732813i
$663$	−12.2724	+	26.0720i	−0.476621	+	1.01255i
$664$	6.63541	−	2.95427i	0.257504	−	0.114648i
$665$	5.53132	+	17.0236i	0.214495	+	0.660148i
$666$	6.41645	+	1.64912i	0.248632	+	0.0639020i
$667$	5.35915	+	3.89365i	0.207507	+	0.150763i
$668$	−3.79358	−	36.0935i	−0.146778	−	1.39650i
$669$	−9.64072	+	8.31961i	−0.372732	+	0.321655i
$670$	0.672198	+	1.16428i	0.0259693	+	0.0449801i
$671$	7.16428	+	27.6342i	0.276574	+	1.06681i
$672$	−0.481213	+	22.8410i	−0.0185632	+	0.881112i
$673$	23.5825	+	26.1911i	0.909040	+	1.00959i	0.999906	+	0.0137279i	$0.00436986\pi$
$673$	23.5825	+	26.1911i	0.909040	+	1.00959i	−0.0908659	+	0.995863i	$0.528963\pi$
$674$	4.19805	−	3.05006i	0.161703	−	0.117484i
$675$	4.22916	+	11.3845i	0.162780	+	0.438189i
$676$	−1.08494	−	3.33910i	−0.0417285	−	0.128427i
$677$	43.0874	+	9.15850i	1.65598	+	0.351990i	0.938685	−	0.344777i	$-0.112045\pi$
$677$	43.0874	+	9.15850i	1.65598	+	0.351990i	0.717298	+	0.696767i	$0.245379\pi$
$678$	−0.281826	+	0.371199i	−0.0108235	+	0.0142558i
$679$	27.5839	+	12.2811i	1.05857	+	0.471307i
$680$	−12.7905	+	2.71870i	−0.490493	+	0.104257i
$681$	−28.0600	−	16.9984i	−1.07526	−	0.651379i
$682$	−0.756610	+	4.53795i	−0.0289721	+	0.173767i
$683$	42.2845			1.61797			0.808985	−	0.587829i	$-0.200017\pi$
$683$	42.2845			1.61797			0.808985	+	0.587829i	$0.200017\pi$
$684$	9.20765	−	1.55507i	0.352063	−	0.0594595i
$685$	−2.38701	+	1.73426i	−0.0912029	+	0.0662628i
$686$	−2.75040	+	1.22456i	−0.105011	+	0.0467538i
$687$	9.92229	+	9.31991i	0.378559	+	0.355577i
$688$	2.31917	−	2.57570i	0.0884174	−	0.0981975i
$689$	0.632714	−	6.01987i	0.0241045	−	0.229339i
$690$	−1.06217	+	2.25652i	−0.0404362	+	0.0859043i
$691$	−5.66545	−	6.29212i	−0.215524	−	0.239363i	0.625682	−	0.780078i	$-0.284821\pi$
$691$	−5.66545	−	6.29212i	−0.215524	−	0.239363i	−0.841206	+	0.540715i	$0.818154\pi$
$692$	2.90507			0.110434
$693$	35.0567	−	20.3383i	1.33169	−	0.772586i
$694$	−7.81709			−0.296733
$695$	5.22892	+	5.80730i	0.198344	+	0.220284i
$696$	6.85312	−	0.574639i	0.259767	−	0.0217816i
$697$	3.10335	−	29.5264i	0.117548	−	1.11839i
$698$	4.37041	−	4.85383i	0.165422	−	0.183720i
$699$	−10.8933	+	3.28745i	−0.412023	+	0.124343i
$700$	16.6874	−	7.42970i	0.630724	−	0.280816i
$701$	−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	$0.992599\pi$
$702$	5.30442	+	2.10239i	0.200202	+	0.0793497i
$703$	−12.5638			−0.473854
$704$	−20.0538	+	3.00929i	−0.755806	+	0.113417i
$705$	0.579722	−	27.5168i	0.0218336	−	1.03634i
$706$	8.28515	−	1.76106i	0.311816	−	0.0662785i
$707$	51.0456	+	22.7270i	1.91977	+	0.854736i
$708$	14.6286	+	34.8119i	0.549777	+	1.30831i
$709$	5.89558	+	1.25314i	0.221413	+	0.0470628i	0.317282	−	0.948331i	$-0.397230\pi$
$709$	5.89558	+	1.25314i	0.221413	+	0.0470628i	−0.0958693	+	0.995394i	$0.530563\pi$
$710$	−1.37036	−	4.21753i	−0.0514287	−	0.158281i
$711$	11.9399	−	4.72400i	0.447781	−	0.177164i
$712$	8.37326	−	6.08353i	0.313801	−	0.227990i
$713$	6.06817	+	6.73939i	0.227255	+	0.252392i
$714$	−7.61677	+	4.18616i	−0.285051	+	0.156663i
$715$	−34.5332	−	2.09146i	−1.29147	−	0.0782163i
$716$	12.6530	+	21.9157i	0.472866	+	0.819028i
$717$	−8.28589	−	43.4647i	−0.309442	−	1.62322i
$718$	1.09858	+	10.4523i	0.0409985	+	0.390075i
$719$	−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	$0.971615\pi$
$720$	−7.68286	−	27.5426i	−0.286323	−	1.02645i
$721$	−6.38836	−	19.6614i	−0.237915	−	0.732227i
$722$	−4.26384	+	1.89838i	−0.158684	+	0.0706505i
$723$	5.14688	−	0.431570i	0.191415	−	0.0160502i
$724$	5.25274	−	1.11650i	0.195216	−	0.0414945i
$725$	−4.15251	−	7.19235i	−0.154220	−	0.267117i
$726$	−3.48206	−	4.17020i	−0.129232	−	0.154771i
$727$	−9.36031	+	16.2125i	−0.347155	+	0.601290i	−0.985743	−	0.168259i	$-0.946185\pi$
$727$	−9.36031	+	16.2125i	−0.347155	+	0.601290i	0.638588	+	0.769549i	$0.279519\pi$
$728$	5.41643	−	16.6700i	0.200746	−	0.617833i
$729$	23.6697	−	12.9902i	0.876656	−	0.481118i
$730$	2.52864	+	1.83717i	0.0935893	+	0.0679966i
$731$	4.16237	+	0.884740i	0.153951	+	0.0327233i
$732$	27.3851	−	8.26444i	1.01218	−	0.305462i
$733$	−0.0589741	+	0.561101i	−0.00217826	+	0.0207247i	−0.995557	−	0.0941604i	$-0.969983\pi$
$733$	−0.0589741	+	0.561101i	−0.00217826	+	0.0207247i	0.993379	+	0.114885i	$0.0366500\pi$
$734$	−6.47609	−	2.88334i	−0.239037	−	0.106426i
$735$	34.0704	−	29.4016i	1.25671	−	1.08449i
$736$	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	$0.0885921\pi$
$740$	4.20725	+	40.0293i	0.154662	+	1.47151i
$741$	−10.7353	−	1.35750i	−0.394371	−	0.0498691i
$742$	1.22162	−	1.35675i	0.0448471	−	0.0498077i
$743$	−18.2423	+	20.2601i	−0.669245	+	0.743272i	−0.978168	−	0.207815i	$-0.933365\pi$
$743$	−18.2423	+	20.2601i	−0.669245	+	0.743272i	0.308923	+	0.951087i	$0.400032\pi$
$744$	9.34058	+	1.18114i	0.342442	+	0.0433026i
$745$	−5.71229	−	54.3488i	−0.209282	−	1.99119i
$746$	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
$750$	−2.69692	+	2.32735i	−0.0984777	+	0.0849829i
$751$	27.6861	+	12.3267i	1.01028	+	0.449806i	0.844041	−	0.536279i	$-0.180170\pi$
$751$	27.6861	+	12.3267i	1.01028	+	0.449806i	0.166241	+	0.986085i	$0.446837\pi$
$752$	−2.15770	+	20.5292i	−0.0786833	+	0.748621i
$753$	19.3486	−	5.83913i	0.705102	−	0.212790i
$754$	−3.81664	−	0.811252i	−0.138994	−	0.0295441i
$755$	24.2772	+	17.6384i	0.883539	+	0.641929i
$756$	−21.7477	−	34.2964i	−0.790956	−	1.24735i
$757$	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
$759$	−10.7063	+	0.248056i	−0.388616	+	0.00900386i
$760$	−2.45515	−	4.25244i	−0.0890576	−	0.154252i
$761$	32.6124	−	6.93197i	1.18220	−	0.251284i	0.425444	−	0.904985i	$-0.360118\pi$
$761$	32.6124	−	6.93197i	1.18220	−	0.251284i	0.756753	+	0.653701i	$0.226784\pi$
$762$	−1.20600	+	0.101124i	−0.0436888	+	0.00366333i
$763$	64.5895	−	28.7571i	2.33830	−	1.04108i
$764$	9.92620	+	30.5497i	0.359117	+	1.10525i
$765$	24.5690	−	25.0770i	0.888296	−	0.906659i
$766$	2.86788	+	2.08364i	0.103621	+	0.0752849i
$767$	−4.57380	−	43.5168i	−0.165150	−	1.57130i
$768$	3.20600	+	16.8175i	0.115686	+	0.606848i
$769$	25.9701	+	44.9815i	0.936504	+	1.62207i	0.771929	+	0.635709i	$0.219292\pi$
$769$	25.9701	+	44.9815i	0.936504	+	1.62207i	0.164575	+	0.986364i	$0.447375\pi$
$770$	−8.05570	−	6.63254i	−0.290307	−	0.239020i
$771$	−31.4578	+	17.2891i	−1.13293	+	0.622653i
$772$	28.2953	+	31.4252i	1.01837	+	1.13102i
$773$	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	$0.255648\pi$
$774$	0.123292	−	0.833537i	0.00443163	−	0.0299609i
$775$	−3.51343	−	10.8132i	−0.126206	−	0.388423i
$776$	−8.10199	−	1.72213i	−0.290844	−	0.0618209i
$777$	21.1674	+	50.3723i	0.759377	+	1.80710i
$778$	1.90675	+	0.848939i	0.0683602	+	0.0304359i
$779$	10.9050	−	2.31793i	0.390713	−	0.0830486i
$780$	−0.730173	+	34.6580i	−0.0261444	+	1.24096i
$781$	13.5737	−	13.3548i	0.485706	−	0.477871i
$782$	2.29655			0.0821244
$783$	−14.4741	+	11.4635i	−0.517260	+	0.409670i
$784$	−27.3060	+	19.8390i	−0.975215	+	0.708535i
$785$	0.823492	−	0.366642i	0.0293917	−	0.0130860i
$786$	1.89007	−	0.570398i	0.0674167	−	0.0203454i
$787$	−13.1861	+	14.6446i	−0.470034	+	0.522025i	−0.930816	−	0.365488i	$-0.880902\pi$
$787$	−13.1861	+	14.6446i	−0.470034	+	0.522025i	0.460782	+	0.887513i	$0.347569\pi$
$788$	3.65510	−	34.7759i	0.130207	−	1.23884i
$789$	−15.6814	+	1.31490i	−0.558274	+	0.0468116i
$790$	−2.21211	−	2.45680i	−0.0787034	−	0.0874089i
$791$	−3.84382			−0.136670
$792$	−8.24670	+	7.45678i	−0.293034	+	0.264965i
$793$	−33.1470			−1.17709
$794$	6.52707	+	7.24904i	0.231637	+	0.257259i
$795$	−3.14071	+	6.67225i	−0.111389	+	0.236640i
$796$	−5.03316	+	47.8873i	−0.178395	+	1.69732i
$797$	9.38507	−	10.4232i	0.332436	−	0.369208i	−0.553633	−	0.832761i	$-0.686759\pi$
$797$	9.38507	−	10.4232i	0.332436	−	0.369208i	0.886069	+	0.463553i	$0.153426\pi$
$798$	−2.37887	−	2.23445i	−0.0842111	−	0.0790986i
$799$	−23.1527	+	10.3083i	−0.819085	+	0.364680i
$800$	−6.12297	+	4.44860i	−0.216480	+	0.157282i
$801$	−9.69217	+	26.0422i	−0.342456	+	0.920156i
$802$	2.13170			0.0752731
$803$	−2.20723	+	13.2384i	−0.0778914	+	0.467173i
$804$	4.94737	+	2.99705i	0.174480	+	0.105698i
$805$	−20.1197	+	4.27657i	−0.709126	+	0.150729i
$806$	−4.87996	−	2.17270i	−0.171889	−	0.0765300i
$807$	−8.31741	+	10.9550i	−0.292787	+	0.385635i
$808$	−14.9932	−	3.18690i	−0.527459	−	0.112115i
$809$	−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	$-0.219932\pi$
$810$	−5.26007	−	4.54481i	−0.184820	−	0.159688i
$811$	−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	$0.310861\pi$
$812$	18.5825	+	20.6379i	0.652117	+	0.724249i
$813$	0.135848	−	6.44810i	0.00476440	−	0.226145i
$814$	6.17482	−	3.93897i	0.216427	−	0.138061i
$815$	−18.0646	−	31.2888i	−0.632775	−	1.09600i
$816$	−19.9339	+	17.2023i	−0.697826	+	0.602200i
$817$	0.167031	+	1.58919i	0.00584367	+	0.0555988i
$818$	−0.556008	−	0.403964i	−0.0194404	−	0.0141243i
$819$	12.6441	+	45.3282i	0.441819	+	1.58390i
$820$	−11.0369	−	33.9680i	−0.385424	−	1.18621i
$821$	9.90445	−	4.40974i	0.345668	−	0.153901i	−0.226557	−	0.973998i	$-0.572747\pi$
$821$	9.90445	−	4.40974i	0.345668	−	0.153901i	0.572225	+	0.820097i	$0.306080\pi$
$822$	0.229117	−	0.486746i	0.00799138	−	0.0169772i
$823$	−46.6261	+	9.91069i	−1.62529	+	0.345465i	−0.928361	−	0.371680i	$-0.878782\pi$
$823$	−46.6261	+	9.91069i	−1.62529	+	0.345465i	−0.696924	+	0.717145i	$0.745449\pi$
$824$	2.83556	+	4.91134i	0.0987815	+	0.171094i
$825$	12.3888	+	5.17544i	0.431324	+	0.180186i
$826$	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	$-0.125451\pi$
$828$	0.671196	+	10.7097i	0.0233257	+	0.372186i
$829$	−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	$0.759531\pi$
$830$	4.91097	+	1.04386i	0.170462	+	0.0362329i
$831$	1.54356	−	6.57741i	0.0535454	−	0.228168i
$832$	2.46115	−	23.4163i	0.0853252	−	0.811815i
$833$	−37.8570	−	16.8550i	−1.31167	−	0.583992i
$834$	−1.34553	−	0.468745i	−0.0465919	−	0.0162313i
$835$	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
$839$	−1.60571	−	15.2774i	−0.0554354	−	0.527433i	−0.986638	−	0.162930i	$-0.947906\pi$
$839$	−1.60571	−	15.2774i	−0.0554354	−	0.527433i	0.931202	−	0.364503i	$-0.118761\pi$
$840$	−12.9130	+	17.0079i	−0.445539	+	0.586829i
$841$	−10.9562	+	12.1681i	−0.377799	+	0.419588i
$842$	−1.31746	+	1.46319i	−0.0454026	+	0.0504247i
$843$	−0.0265872	−	0.0632699i	−0.000915713	−	0.00217913i
$844$	1.65862	+	15.7807i	0.0570920	+	0.543194i
$845$	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
$849$	2.07384	+	10.8786i	0.0711740	+	0.373353i
$850$	−2.63032	−	1.17109i	−0.0902192	−	0.0401682i
$851$	1.50913	−	14.3585i	0.0517325	−	0.492201i
$852$	−13.9072	−	13.0629i	−0.476453	−	0.447528i
$853$	−40.5581	−	8.62090i	−1.38868	−	0.295174i	−0.547900	−	0.836544i	$-0.684573\pi$
$853$	−40.5581	−	8.62090i	−1.38868	−	0.295174i	−0.840785	+	0.541370i	$0.817906\pi$
$854$	−8.08825	−	5.87646i	−0.276774	−	0.201088i
$855$	11.8068	+	5.86452i	0.403785	+	0.200562i
$856$	0.959576	−	2.95327i	0.0327976	−	0.100941i
$857$	−9.20273	+	15.9396i	−0.314359	+	0.544486i	−0.979301	−	0.202409i	$-0.935123\pi$
$857$	−9.20273	+	15.9396i	−0.314359	+	0.544486i	0.664942	+	0.746895i	$0.268456\pi$
$858$	5.70173	−	2.69852i	0.194654	−	0.0921258i
$859$	7.52426	+	13.0324i	0.256725	+	0.444660i	0.965363	−	0.260912i	$-0.0840233\pi$
$859$	7.52426	+	13.0324i	0.256725	+	0.444660i	−0.708638	+	0.705572i	$0.750690\pi$
$860$	5.00735	−	1.06435i	0.170749	−	0.0362939i
$861$	−27.6660	−	39.8164i	−0.942853	−	1.35694i
$862$	−7.60142	+	3.38437i	−0.258905	+	0.115272i
$863$	−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	$0.978984\pi$
$864$	11.7682	+	12.0261i	0.400364	+	0.409135i
$865$	3.31799	+	2.41066i	0.112815	+	0.0819649i
$866$	1.08900	+	10.3611i	0.0370056	+	0.352084i
$867$	−2.72198	−	0.948263i	−0.0924433	−	0.0322047i
$868$	19.0095	+	32.9255i	0.645225	+	1.11756i
$869$	5.19484	−	13.2110i	0.176223	−	0.448152i
$870$	4.06588	+	2.46306i	0.137846	+	0.0835054i
$871$	−4.48507	−	4.98118i	−0.151971	−	0.168781i
$872$	−15.6910	+	11.4002i	−0.531365	+	0.386059i
$873$	20.6784	−	8.18137i	0.699857	−	0.276898i
$874$	0.266492	+	0.820177i	0.00901421	+	0.0277429i
$875$	−28.7378	−	6.10840i	−0.971514	−	0.206502i
$876$	13.3418	+	1.68710i	0.450777	+	0.0570017i
$877$	−21.9939	−	9.79233i	−0.742683	−	0.330664i	0.000276873	−	1.00000i	$-0.499912\pi$
$877$	−21.9939	−	9.79233i	−0.742683	−	0.330664i	−0.742960	+	0.669336i	$0.766579\pi$
$878$	5.99601	−	1.27449i	0.202356	−	0.0430120i
$879$	35.5303	−	19.5274i	1.19841	−	0.658642i
$880$	−28.0489	−	14.5801i	−0.945527	−	0.491494i
$881$	−10.0956			−0.340129			−0.170064	−	0.985433i	$-0.554398\pi$
$881$	−10.0956			−0.340129			−0.170064	+	0.985433i	$0.554398\pi$
$882$	−2.86206	+	7.69016i	−0.0963706	+	0.258941i
$883$	−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	$0.974519\pi$
$884$	29.1614	−	12.9835i	0.980803	−	0.436682i
$885$	−12.1794	+	51.8991i	−0.409407	+	1.74457i
$886$	−6.38136	+	7.08721i	−0.214386	+	0.238100i
$887$	0.268921	−	2.55861i	0.00902949	−	0.0859099i	−0.989079	−	0.147386i	$-0.952914\pi$
$887$	0.268921	−	2.55861i	0.00902949	−	0.0859099i	0.998109	+	0.0614760i	$0.0195808\pi$
$888$	−8.55279	−	12.3090i	−0.287013	−	0.413064i
$889$	−6.67880	−	7.41756i	−0.224000	−	0.248777i
$890$	7.15422			0.239810
$891$	7.36956	−	28.9256i	0.246889	−	0.969044i
$892$	14.1064			0.472316
$893$	−6.36808	−	7.07247i	−0.213100	−	0.236671i
$894$	5.68570	+	8.18276i	0.190158	+	0.273672i
$895$	−3.73440	+	35.5304i	−0.124827	+	1.18765i
$896$	22.4038	−	24.8820i	0.748460	−	0.831249i
$897$	2.84090	−	12.1057i	0.0948549	−	0.404196i
$898$	10.2983	−	4.58508i	0.343658	−	0.153006i
$899$	13.9843	−	10.1602i	0.466403	−	0.338862i
$900$	4.69250	−	12.6084i	0.156417	−	0.420280i
$901$	6.79061			0.226228
$902$	−4.63284	+	4.55811i	−0.154257	+	0.151768i
$903$	6.09015	−	3.34713i	0.202668	−	0.111386i
$904$	1.03140	−	0.219232i	0.0343040	−	0.00729154i
$905$	6.92585	+	3.08359i	0.230223	+	0.102502i
$906$	−5.42828	−	0.686418i	−0.180342	−	0.0228047i
$907$	−10.0699	−	2.14042i	−0.334366	−	0.0710716i	0.0376696	−	0.999290i	$-0.488007\pi$
$907$	−10.0699	−	2.14042i	−0.334366	−	0.0710716i	−0.372035	+	0.928219i	$0.621340\pi$
$908$	11.2304	+	34.5636i	0.372693	+	1.14703i
$909$	38.2666	−	15.1401i	1.26922	−	0.502166i
$910$	9.80197	−	7.12155i	0.324932	−	0.236077i
$911$	−10.4401	−	11.5950i	−0.345897	−	0.384158i	0.544944	−	0.838472i	$-0.316551\pi$
$911$	−10.4401	−	11.5950i	−0.345897	−	0.384158i	−0.890841	+	0.454315i	$0.849884\pi$
$912$	−8.45665	−	5.12293i	−0.280028	−	0.169637i
$913$	5.41031	+	20.8688i	0.179055	+	0.690655i
$914$	−5.34829	−	9.26351i	−0.176906	−	0.306410i
$915$	38.1355	+	13.2854i	1.26072	+	0.439201i
$916$	−1.57627	−	14.9972i	−0.0520815	−	0.495523i
$917$	13.1729	+	9.57070i	0.435009	+	0.316052i
$918$	−1.72363	+	6.16471i	−0.0568882	+	0.203466i
$919$	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	$0.840794\pi$
$920$	5.15477	−	2.29505i	0.169948	−	0.0756655i
$921$	28.8093	+	41.4619i	0.949300	+	1.36622i
$922$	−5.40131	+	1.14808i	−0.177883	+	0.0378102i
$923$	11.0549	+	19.1476i	0.363875	+	0.630251i
$924$	−44.1198	−	8.31479i	−1.45143	−	0.273536i
$925$	−9.05036	+	15.6757i	−0.297574	+	0.515413i
$926$	−1.26440	+	3.89141i	−0.0415506	+	0.127880i
$927$	−13.6362	−	6.77320i	−0.447873	−	0.222461i
$928$	−9.30886	−	6.76328i	−0.305578	−	0.222016i
$929$	−23.0134	−	4.89164i	−0.755044	−	0.160490i	−0.185720	−	0.982603i	$-0.559462\pi$
$929$	−23.0134	−	4.89164i	−0.755044	−	0.160490i	−0.569324	+	0.822113i	$0.692795\pi$
$930$	4.74355	+	4.45557i	0.155547	+	0.146104i
$931$	1.62658	−	15.4759i	0.0533091	−	0.507202i
$932$	11.5149	+	5.12678i	0.377185	+	0.167933i
$933$	−6.39152	−	33.5275i	−0.209249	−	1.09764i
$934$	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	$0.00143580\pi$
$938$	−0.211322	−	2.01060i	−0.00689992	−	0.0656483i
$939$	−0.898056	−	2.13711i	−0.0293069	−	0.0697420i
$940$	−20.4009	+	22.6575i	−0.665405	+	0.739007i
$941$	−21.7418	+	24.1467i	−0.708763	+	0.787161i	−0.984745	−	0.174002i	$-0.944330\pi$
$941$	−21.7418	+	24.1467i	−0.708763	+	0.787161i	0.275982	+	0.961163i	$0.410997\pi$
$942$	−0.0993873	+	0.130905i	−0.00323821	+	0.00426512i
$943$	1.33914	+	12.7411i	0.0436085	+	0.414908i
$944$	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	−0.833118	−	0.553096i	$-0.813446\pi$
$947$	1.92137	−	3.32790i	0.0624360	−	0.108142i	0.895554	+	0.444953i	$0.146780\pi$
$948$	−13.4323	−	4.67945i	−0.436262	−	0.151981i
$949$	−14.2361	−	6.33833i	−0.462124	−	0.205751i
$950$	0.113016	−	1.07527i	0.00366671	−	0.0348864i
$951$	−1.58323	+	6.74646i	−0.0513397	+	0.218769i
$952$	19.2340	+	4.08832i	0.623379	+	0.132503i
$953$	−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	$0.800054\pi$
$954$	−0.0841044	−	1.34198i	−0.00272298	−	0.0434481i
$955$	−14.0134	+	43.1289i	−0.453464	+	1.39562i
$956$	−24.5077	+	42.4486i	−0.792636	+	1.37289i
$957$	−1.66289	+	20.3446i	−0.0537535	+	0.657646i
$958$	3.31651	+	5.74436i	0.107152	+	0.185592i
$959$	4.33995	−	0.922485i	0.140144	−	0.0297886i
$960$	−12.2168	+	25.9540i	−0.394297	+	0.837660i
$961$	−6.70155	+	2.98372i	−0.216179	+	0.0962492i
$962$	2.62793	+	8.08795i	0.0847280	+	0.260766i
$963$	2.24003	+	8.03036i	0.0721838	+	0.258775i
$964$	−4.62879	−	3.36302i	−0.149083	−	0.108315i
$965$	6.24022	+	59.3718i	0.200880	+	1.91124i
$966$	2.83936	−	2.45027i	0.0913549	−	0.0788362i
$967$	−13.2813	−	23.0039i	−0.427099	−	0.739757i	0.569515	−	0.821981i	$-0.307131\pi$
$967$	−13.2813	−	23.0039i	−0.427099	−	0.739757i	−0.996614	+	0.0822239i	$0.973798\pi$
$968$	−0.199855	+	12.2899i	−0.00642357	+	0.395011i
$969$	0.255693	−	12.1366i	0.00821406	−	0.389885i
$970$	−3.83110	−	4.25487i	−0.123009	−	0.136616i
$971$	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	$-0.00606329\pi$
$972$	−29.2521	−	6.23619i	−0.938261	−	0.200026i
$973$	−3.63134	−	11.1761i	−0.116415	−	0.358290i
$974$	−0.0755312	−	0.0160547i	−0.00242018	−	0.000514424i
$975$	−9.42690	+	12.4164i	−0.301902	+	0.397642i
$976$	−27.6691	−	12.3191i	−0.885666	−	0.394324i
$977$	20.7119	−	4.40244i	0.662631	−	0.140847i	0.135694	−	0.990751i	$-0.456674\pi$
$977$	20.7119	−	4.40244i	0.662631	−	0.140847i	0.526937	+	0.849904i	$0.323340\pi$
$978$	5.63434	+	3.41321i	0.180166	+	0.109142i
$979$	13.7236	+	27.4842i	0.438608	+	0.878399i
$980$	−49.8521			−1.59247
$981$	18.1626	−	48.8016i	0.579887	−	1.55812i
$982$	0.970410	−	0.705044i	0.0309670	−	0.0224989i
$983$	46.4405	−	20.6766i	1.48122	−	0.659482i	0.502481	−	0.864588i	$-0.332421\pi$
$983$	46.4405	−	20.6766i	1.48122	−	0.659482i	0.978740	+	0.205106i	$0.0657539\pi$
$984$	9.69448	+	9.10592i	0.309049	+	0.290286i
$985$	33.0321	−	36.6859i	1.05249	−	1.16891i
$986$	0.457559	−	4.35338i	0.0145716	−	0.138640i
$987$	−17.6268	+	37.4472i	−0.561069	+	1.19196i
$988$	8.02073	+	8.90792i	0.255173	+	0.283399i
$989$	−1.83625			−0.0583895
$990$	−7.64139	+	0.819371i	−0.242859	+	0.0260413i
$991$	−13.1480			−0.417662			−0.208831	−	0.977952i	$-0.566966\pi$
$991$	−13.1480			−0.417662			−0.208831	+	0.977952i	$0.566966\pi$
$992$	−10.5404	−	11.7063i	−0.334659	−	0.371677i
$993$	−5.48923	+	0.460276i	−0.174196	+	0.0146064i
$994$	−0.697061	+	6.63209i	−0.0221094	+	0.210357i
$995$	−45.4860	+	50.5174i	−1.44200	+	1.60151i
$996$	20.6806	−	6.24113i	0.655291	−	0.197758i
$997$	−33.9918	+	15.1341i	−1.07653	+	0.479303i	−0.866902	−	0.498478i	$-0.833892\pi$
$997$	−33.9918	+	15.1341i	−1.07653	+	0.479303i	−0.209629	+	0.977781i	$0.567226\pi$
$998$	3.54437	−	2.57514i	0.112195	−	0.0815146i
$999$	37.4103	+	14.8275i	1.18361	+	0.469120i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.5	✓	72	11.5	even	5	inner
99.2.m.b.31.5	yes	72	9.4	even	3	inner
99.2.m.b.49.5	yes	72	99.49	even	15	inner
99.2.m.b.97.5	yes	72	1.1	even	1	trivial
297.2.n.b.64.5		72	9.5	odd	6
297.2.n.b.181.5		72	33.5	odd	10
297.2.n.b.262.5		72	3.2	odd	2
297.2.n.b.280.5		72	99.5	odd	30
891.2.f.e.82.5		36	99.38	odd	30
891.2.f.e.163.5		36	9.2	odd	6
891.2.f.f.82.5		36	99.16	even	15
891.2.f.f.163.5		36	9.7	even	3
1089.2.e.o.364.10		36	99.40	odd	30
1089.2.e.o.727.10		36	11.7	odd	10
1089.2.e.p.364.9		36	99.4	even	15
1089.2.e.p.727.9		36	11.4	even	5
9801.2.a.cm.1.10		18	99.70	even	15
9801.2.a.cn.1.10		18	99.29	even	30
9801.2.a.co.1.9		18	99.7	odd	30
9801.2.a.cp.1.9		18	99.92	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+(0.190802 + 0.211907i) q^{2} +(0.988333 + 1.42239i) q^{3} +(0.200558 - 1.90818i) q^{4} +(1.81250 - 2.01298i) q^{5} +(-0.112839 + 0.480829i) q^{6} +(-3.72118 + 1.65677i) q^{7} +(0.904002 - 0.656796i) q^{8} +(-1.04640 + 2.81159i) q^{9} +0.772391 q^{10} +(1.48164 + 2.96728i) q^{11} +(2.91240 - 1.60065i) q^{12} +(-3.76680 + 0.800659i) q^{13} +(-1.06109 - 0.472427i) q^{14} +(4.65460 + 0.588584i) q^{15} +(-3.44186 - 0.731590i) q^{16} +(-1.33502 - 4.10876i) q^{17} +(-0.795449 + 0.314718i) q^{18} +(1.31246 - 0.953561i) q^{19} +(-3.47762 - 3.86229i) q^{20} +(-6.03434 - 3.65553i) q^{21} +(-0.346086 + 0.880131i) q^{22} +(0.932117 + 1.61447i) q^{23} +(1.82768 + 0.636712i) q^{24} +(-0.244308 - 2.32444i) q^{25} +(-0.888377 - 0.645443i) q^{26} +(-5.03337 + 1.29041i) q^{27} +(2.41511 + 7.43295i) q^{28} +(3.24614 - 1.44528i) q^{29} +(0.763380 + 1.09864i) q^{30} +(4.75829 - 1.01141i) q^{31} +(-1.61909 - 2.80435i) q^{32} +(-2.75628 + 5.04013i) q^{33} +(0.615950 - 1.06686i) q^{34} +(-3.40956 + 10.4936i) q^{35} +(5.15516 + 2.56060i) q^{36} +(-6.26542 - 4.55210i) q^{37} +(0.452486 + 0.0961788i) q^{38} +(-4.86171 - 4.56655i) q^{39} +(0.316383 - 3.01018i) q^{40} +(6.27802 + 2.79515i) q^{41} +(-0.376732 - 1.97620i) 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} +(-0.613200 - 5.83421i) q^{47} +(-2.36110 - 5.61873i) q^{48} +(6.41834 - 7.12829i) q^{49} +(0.445949 - 0.495276i) q^{50} +(4.52482 - 5.95974i) q^{51} +(0.772339 + 7.34832i) 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} +(2.65349 + 0.924402i) q^{57} +(0.925632 + 0.412118i) q^{58} +(-1.18770 + 11.3002i) q^{59} +(2.05664 - 8.76376i) q^{60} +(8.41938 + 1.78960i) q^{61} +(1.12221 + 0.815335i) q^{62} +(-0.764353 - 12.1961i) q^{63} +(-1.88937 + 5.81490i) q^{64} +(-5.21561 + 9.03370i) q^{65} +(-1.59394 + 0.377592i) q^{66} +(0.870282 + 1.50737i) q^{67} +(-8.10800 + 1.72341i) q^{68} +(-1.37517 + 2.92147i) q^{69} +(-2.87420 + 1.27968i) q^{70} +(-1.77418 - 5.46036i) q^{71} +(0.900699 + 3.22896i) q^{72} +(3.27379 + 2.37855i) q^{73} +(-0.230833 - 2.19623i) q^{74} +(3.06480 - 2.64482i) q^{75} +(-1.55634 - 2.69566i) q^{76} +(-10.4296 - 8.58702i) q^{77} +(0.0400613 - 1.90153i) q^{78} +(-2.86398 - 3.18077i) q^{79} +(-7.71104 + 5.60240i) q^{80} +(-6.81011 - 5.88408i) q^{81} +(0.605544 + 1.86367i) q^{82} +(6.35814 + 1.35146i) q^{83} +(-8.18563 + 10.7815i) q^{84} +(-10.6906 - 4.75975i) q^{85} +(-0.274731 + 0.0583959i) q^{86} +(5.26402 + 3.18887i) q^{87} +(3.28830 + 1.70929i) q^{88} +9.26243 q^{89} +(-0.808227 + 2.17165i) q^{90} +(12.6904 - 9.22014i) q^{91} +(3.26765 - 1.45485i) q^{92} +(6.14139 + 5.76854i) q^{93} +(1.11931 - 1.24312i) q^{94} +(0.459336 - 4.37029i) q^{95} +(2.38868 - 5.07461i) q^{96} +(-4.96005 - 5.50870i) q^{97} +2.73516 q^{98} +(-9.89316 + 1.06082i) 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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