LMFDB - Embedded newform 403.2.bs.a.101.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [403,2,Mod(4,403)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(403, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 18]))

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

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

chi := DirichletCharacter("403.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 403 = 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	403.bs (of order $30$, 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:	$3.21797120146$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$36$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			101.4
Character	$\chi$	$=$	403.101
Dual form			403.2.bs.a.4.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.502235 - 2.36283i) q^{2} +(0.181860 - 0.201976i) q^{3} +(-3.50363 + 1.55992i) q^{4} +2.70808i q^{5} +(-0.568571 - 0.328265i) q^{6} +(-0.369305 - 0.829472i) q^{7} +(2.60573 + 3.58648i) q^{8} +(0.305864 + 2.91010i) q^{9} +O(q^{10})$	\(q+(-0.502235 - 2.36283i) q^{2} +(0.181860 - 0.201976i) q^{3} +(-3.50363 + 1.55992i) q^{4} +2.70808i q^{5} +(-0.568571 - 0.328265i) q^{6} +(-0.369305 - 0.829472i) q^{7} +(2.60573 + 3.58648i) q^{8} +(0.305864 + 2.91010i) q^{9} +(6.39874 - 1.36009i) q^{10} +(3.33873 + 0.350915i) q^{11} +(-0.322104 + 0.991336i) q^{12} +(0.564544 + 3.56108i) q^{13} +(-1.77442 + 1.28919i) q^{14} +(0.546968 + 0.492492i) q^{15} +(2.03306 - 2.25794i) q^{16} +(-0.346673 - 3.29837i) q^{17} +(6.72246 - 2.18426i) q^{18} +(2.06233 - 1.85693i) q^{19} +(-4.22438 - 9.48812i) q^{20} +(-0.234695 - 0.0762571i) q^{21} +(-0.847676 - 8.06510i) q^{22} +(6.12777 + 2.72826i) q^{23} +(1.19826 + 0.125942i) q^{24} -2.33371 q^{25} +(8.13069 - 3.12242i) q^{26} +(1.30303 + 0.946709i) q^{27} +(2.58781 + 2.33008i) q^{28} +(-5.27619 + 1.12149i) q^{29} +(0.888968 - 1.53974i) q^{30} +(-0.522466 + 5.54320i) q^{31} +(1.32222 + 0.763385i) q^{32} +(0.678059 - 0.610527i) q^{33} +(-7.61938 + 2.47569i) q^{34} +(2.24628 - 1.00011i) q^{35} +(-5.61115 - 9.71880i) q^{36} +(0.883690 - 0.510198i) q^{37} +(-5.42338 - 3.94032i) q^{38} +(0.821921 + 0.533594i) q^{39} +(-9.71250 + 7.05654i) q^{40} +(-0.104186 - 0.490157i) q^{41} +(-0.0623104 + 0.592843i) q^{42} +(-1.24301 - 1.38051i) q^{43} +(-12.2451 + 3.97867i) q^{44} +(-7.88080 + 0.828306i) q^{45} +(3.36883 - 15.8491i) q^{46} +(-0.594623 + 0.193205i) q^{47} +(-0.0863177 - 0.821258i) q^{48} +(4.13228 - 4.58936i) q^{49} +(1.17207 + 5.51417i) q^{50} +(-0.729238 - 0.529823i) q^{51} +(-7.53294 - 11.5961i) q^{52} +(-10.9676 + 7.96844i) q^{53} +(1.58248 - 3.55431i) q^{54} +(-0.950307 + 9.04157i) q^{55} +(2.01258 - 3.48589i) q^{56} -0.754243i q^{57} +(5.29977 + 11.9035i) q^{58} +(-2.39527 + 11.2689i) q^{59} +(-2.68462 - 0.872286i) q^{60} +(2.75542 - 4.77253i) q^{61} +(13.3600 - 1.54949i) q^{62} +(2.30089 - 1.32842i) q^{63} +(3.01749 - 9.28688i) q^{64} +(-9.64370 + 1.52883i) q^{65} +(-1.78312 - 1.29551i) q^{66} +(9.17752 - 5.29865i) q^{67} +(6.35980 + 11.0155i) q^{68} +(1.66544 - 0.741502i) q^{69} +(-3.49124 - 4.80528i) q^{70} +(-5.24185 + 0.550941i) q^{71} +(-9.64004 + 8.67993i) q^{72} +(5.83036 - 8.02480i) q^{73} +(-1.64933 - 1.83177i) q^{74} +(-0.424410 + 0.471355i) q^{75} +(-4.32899 + 9.72306i) q^{76} +(-0.941935 - 2.89898i) q^{77} +(0.847994 - 2.21005i) q^{78} +(-3.83936 + 2.78946i) q^{79} +(6.11469 + 5.50569i) q^{80} +(-8.15839 + 1.73412i) q^{81} +(-1.10583 + 0.492348i) q^{82} +(10.4120 + 3.38305i) q^{83} +(0.941239 - 0.0989283i) q^{84} +(8.93227 - 0.938819i) q^{85} +(-2.63761 + 3.63037i) q^{86} +(-0.733014 + 1.26962i) q^{87} +(7.44130 + 12.8887i) q^{88} +(1.67100 + 0.175629i) q^{89} +(5.91516 + 18.2050i) q^{90} +(2.74533 - 1.78340i) q^{91} -25.7253 q^{92} +(1.02458 + 1.11361i) q^{93} +(0.755150 + 1.30796i) q^{94} +(5.02872 + 5.58496i) q^{95} +(0.394645 - 0.128228i) q^{96} +(1.64196 + 3.68790i) q^{97} +(-12.9192 - 7.45893i) q^{98} +9.82339i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9}+O(q^{10}) $ 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9	$ 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9} + 3 q^{10} - 18 q^{11} - 46 q^{12} - q^{13} - 32 q^{14} + 18 q^{15} + 21 q^{16} - 15 q^{17} - 15 q^{19} + 51 q^{20} - 10 q^{22} - 4 q^{23} - 51 q^{24} - 296 q^{25} - 6 q^{26} - 52 q^{27} + 21 q^{28} + q^{29} + 60 q^{30} + 138 q^{32} + 69 q^{33} - 10 q^{35} + 128 q^{36} - 18 q^{37} + 32 q^{38} - 14 q^{39} + 60 q^{40} - 15 q^{41} - 49 q^{42} - 36 q^{43} + 6 q^{45} - 69 q^{46} + 21 q^{48} - 23 q^{49} + 117 q^{50} + 8 q^{51} + 26 q^{52} - 48 q^{53} + 75 q^{54} + 46 q^{55} - 98 q^{56} - 21 q^{58} - 105 q^{59} - 74 q^{61} - 3 q^{62} - 90 q^{63} + 90 q^{64} + 89 q^{65} - 8 q^{66} + 6 q^{67} - 182 q^{68} + 29 q^{69} + 3 q^{71} - 183 q^{72} - 53 q^{74} - 38 q^{75} + 144 q^{76} - 128 q^{78} - 72 q^{79} - 72 q^{80} + 11 q^{81} - 11 q^{82} - 33 q^{84} + 72 q^{85} - 18 q^{87} - 14 q^{88} + 81 q^{89} - 34 q^{90} - 48 q^{91} + 8 q^{92} + 72 q^{93} - 6 q^{94} + 141 q^{97} + 96 q^{98}+O(q^{100}) $ 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9 + 3 * q^10 - 18 * q^11 - 46 * q^12 - q^13 - 32 * q^14 + 18 * q^15 + 21 * q^16 - 15 * q^17 - 15 * q^19 + 51 * q^20 - 10 * q^22 - 4 * q^23 - 51 * q^24 - 296 * q^25 - 6 * q^26 - 52 * q^27 + 21 * q^28 + q^29 + 60 * q^30 + 138 * q^32 + 69 * q^33 - 10 * q^35 + 128 * q^36 - 18 * q^37 + 32 * q^38 - 14 * q^39 + 60 * q^40 - 15 * q^41 - 49 * q^42 - 36 * q^43 + 6 * q^45 - 69 * q^46 + 21 * q^48 - 23 * q^49 + 117 * q^50 + 8 * q^51 + 26 * q^52 - 48 * q^53 + 75 * q^54 + 46 * q^55 - 98 * q^56 - 21 * q^58 - 105 * q^59 - 74 * q^61 - 3 * q^62 - 90 * q^63 + 90 * q^64 + 89 * q^65 - 8 * q^66 + 6 * q^67 - 182 * q^68 + 29 * q^69 + 3 * q^71 - 183 * q^72 - 53 * q^74 - 38 * q^75 + 144 * q^76 - 128 * q^78 - 72 * q^79 - 72 * q^80 + 11 * q^81 - 11 * q^82 - 33 * q^84 + 72 * q^85 - 18 * q^87 - 14 * q^88 + 81 * q^89 - 34 * q^90 - 48 * q^91 + 8 * q^92 + 72 * q^93 - 6 * q^94 + 141 * q^97 + 96 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/403\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{5}\right)$

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 $

$2$	−0.502235	−	2.36283i	−0.355134	−	1.67077i	−0.686392	−	0.727232i	$-0.740806\pi$
$2$	−0.502235	−	2.36283i	−0.355134	−	1.67077i	0.331258	−	0.943540i	$-0.392527\pi$
$3$	0.181860	−	0.201976i	0.104997	−	0.116611i	−0.688356	−	0.725373i	$-0.741667\pi$
$3$	0.181860	−	0.201976i	0.104997	−	0.116611i	0.793353	+	0.608763i	$0.208334\pi$
$4$	−3.50363	+	1.55992i	−1.75181	+	0.779958i
$5$			2.70808i			1.21109i	0.795810	+	0.605546i	$0.207045\pi$
$5$			2.70808i			1.21109i	−0.795810	+	0.605546i	$0.792955\pi$
$6$	−0.568571	−	0.328265i	−0.232118	−	0.134014i
$7$	−0.369305	−	0.829472i	−0.139584	−	0.313511i	0.830204	−	0.557459i	$-0.188224\pi$
$7$	−0.369305	−	0.829472i	−0.139584	−	0.313511i	−0.969788	+	0.243949i	$0.921557\pi$
$8$	2.60573	+	3.58648i	0.921266	+	1.26801i
$9$	0.305864	+	2.91010i	0.101955	+	0.970034i
$10$	6.39874	−	1.36009i	2.02346	−	0.430099i
$11$	3.33873	+	0.350915i	1.00667	+	0.105805i	0.593486	−	0.804844i	$-0.297751\pi$
$11$	3.33873	+	0.350915i	1.00667	+	0.105805i	0.413180	+	0.910649i	$0.364418\pi$
$12$	−0.322104	+	0.991336i	−0.0929836	+	0.286174i
$13$	0.564544	+	3.56108i	0.156576	+	0.987666i
$13$	0.564544	+	3.56108i	0.156576	+	0.987666i
$14$	−1.77442	+	1.28919i	−0.474234	+	0.344551i
$15$	0.546968	+	0.492492i	0.141227	+	0.127161i
$16$	2.03306	−	2.25794i	0.508265	−	0.564485i
$17$	−0.346673	−	3.29837i	−0.0840805	−	0.799973i	−0.952581	−	0.304285i	$-0.901583\pi$
$17$	−0.346673	−	3.29837i	−0.0840805	−	0.799973i	0.868501	−	0.495688i	$-0.165084\pi$
$18$	6.72246	−	2.18426i	1.58450	−	0.514835i
$19$	2.06233	−	1.85693i	0.473131	−	0.426009i	−0.397757	−	0.917491i	$-0.630211\pi$
$19$	2.06233	−	1.85693i	0.473131	−	0.426009i	0.870888	+	0.491482i	$0.163545\pi$
$20$	−4.22438	−	9.48812i	−0.944601	−	2.12161i
$21$	−0.234695	−	0.0762571i	−0.0512147	−	0.0166407i
$22$	−0.847676	−	8.06510i	−0.180725	−	1.71948i
$23$	6.12777	+	2.72826i	1.27773	+	0.568881i	0.929602	−	0.368566i	$-0.120151\pi$
$23$	6.12777	+	2.72826i	1.27773	+	0.568881i	0.348127	+	0.937447i	$0.386818\pi$
$24$	1.19826	+	0.125942i	0.244594	+	0.0257079i
$25$	−2.33371			−0.466743
$26$	8.13069	−	3.12242i	1.59456	−	0.612357i
$27$	1.30303	+	0.946709i	0.250769	+	0.182194i
$28$	2.58781	+	2.33008i	0.489051	+	0.440343i
$29$	−5.27619	+	1.12149i	−0.979764	+	0.208255i	−0.669839	−	0.742506i	$-0.733637\pi$
$29$	−5.27619	+	1.12149i	−0.979764	+	0.208255i	−0.309924	+	0.950761i	$0.600304\pi$
$30$	0.888968	−	1.53974i	0.162303	−	0.281116i
$31$	−0.522466	+	5.54320i	−0.0938377	+	0.995588i
$31$	−0.522466	+	5.54320i	−0.0938377	+	0.995588i
$32$	1.32222	+	0.763385i	0.233738	+	0.134949i
$33$	0.678059	−	0.610527i	0.118035	−	0.106279i
$34$	−7.61938	+	2.47569i	−1.30671	+	0.424577i
$35$	2.24628	−	1.00011i	0.379690	−	0.169049i
$36$	−5.61115	−	9.71880i	−0.935192	−	1.61980i
$37$	0.883690	−	0.510198i	0.145278	−	0.0838761i	−0.425599	−	0.904912i	$-0.639937\pi$
$37$	0.883690	−	0.510198i	0.145278	−	0.0838761i	0.570877	+	0.821036i	$0.306603\pi$
$38$	−5.42338	−	3.94032i	−0.879789	−	0.639204i
$39$	0.821921	+	0.533594i	0.131613	+	0.0854434i
$40$	−9.71250	+	7.05654i	−1.53568	+	1.11574i
$41$	−0.104186	−	0.490157i	−0.0162711	−	0.0765496i	0.969263	−	0.246027i	$-0.0791253\pi$
$41$	−0.104186	−	0.490157i	−0.0162711	−	0.0765496i	−0.985534	+	0.169478i	$0.945792\pi$
$42$	−0.0623104	+	0.592843i	−0.00961470	+	0.0914777i
$43$	−1.24301	−	1.38051i	−0.189558	−	0.210525i	0.640873	−	0.767647i	$-0.278572\pi$
$43$	−1.24301	−	1.38051i	−0.189558	−	0.210525i	−0.830431	+	0.557122i	$0.811906\pi$
$44$	−12.2451	+	3.97867i	−1.84602	+	0.599807i
$45$	−7.88080	+	0.828306i	−1.17480	+	0.123477i
$46$	3.36883	−	15.8491i	0.496707	−	2.33682i
$47$	−0.594623	+	0.193205i	−0.0867347	+	0.0281818i	−0.352063	−	0.935976i	$-0.614520\pi$
$47$	−0.594623	+	0.193205i	−0.0867347	+	0.0281818i	0.265328	+	0.964158i	$0.414520\pi$
$48$	−0.0863177	−	0.821258i	−0.0124589	−	0.118538i
$49$	4.13228	−	4.58936i	0.590325	−	0.655623i
$50$	1.17207	+	5.51417i	0.165756	+	0.779821i
$51$	−0.729238	−	0.529823i	−0.102114	−	0.0741900i
$52$	−7.53294	−	11.5961i	−1.04463	−	1.60808i
$53$	−10.9676	+	7.96844i	−1.50652	+	1.09455i	−0.538825	+	0.842418i	$0.681131\pi$
$53$	−10.9676	+	7.96844i	−1.50652	+	1.09455i	−0.967693	+	0.252131i	$0.918869\pi$
$54$	1.58248	−	3.55431i	0.215349	−	0.483681i
$55$	−0.950307	+	9.04157i	−0.128139	+	1.21916i
$56$	2.01258	−	3.48589i	0.268942	−	0.465821i
$57$		−	0.754243i		−	0.0999019i
$58$	5.29977	+	11.9035i	0.695894	+	1.56300i
$59$	−2.39527	+	11.2689i	−0.311837	+	1.46708i	0.491145	+	0.871078i	$0.336578\pi$
$59$	−2.39527	+	11.2689i	−0.311837	+	1.46708i	−0.802983	+	0.596002i	$0.796755\pi$
$60$	−2.68462	−	0.872286i	−0.346583	−	0.112612i
$61$	2.75542	−	4.77253i	0.352795	−	0.611059i	−0.633943	−	0.773380i	$-0.718565\pi$
$61$	2.75542	−	4.77253i	0.352795	−	0.611059i	0.986738	+	0.162321i	$0.0518979\pi$
$62$	13.3600	−	1.54949i	1.69672	−	0.196785i
$63$	2.30089	−	1.32842i	0.289885	−	0.167365i
$64$	3.01749	−	9.28688i	0.377186	−	1.16086i
$65$	−9.64370	+	1.52883i	−1.19615	+	0.189628i
$66$	−1.78312	−	1.29551i	−0.219486	−	0.159466i
$67$	9.17752	−	5.29865i	1.12121	−	0.647333i	0.179503	−	0.983757i	$-0.442551\pi$
$67$	9.17752	−	5.29865i	1.12121	−	0.647333i	0.941710	+	0.336425i	$0.109218\pi$
$68$	6.35980	+	11.0155i	0.771239	+	1.33582i
$69$	1.66544	−	0.741502i	0.200495	−	0.0892663i
$70$	−3.49124	−	4.80528i	−0.417283	−	0.574341i
$71$	−5.24185	+	0.550941i	−0.622093	+	0.0653846i	−0.410331	−	0.911937i	$-0.634587\pi$
$71$	−5.24185	+	0.550941i	−0.622093	+	0.0653846i	−0.211762	+	0.977321i	$0.567920\pi$
$72$	−9.64004	+	8.67993i	−1.13609	+	1.02294i
$73$	5.83036	−	8.02480i	0.682392	−	0.939231i	−0.317568	−	0.948236i	$-0.602866\pi$
$73$	5.83036	−	8.02480i	0.682392	−	0.939231i	0.999959	+	0.00900409i	$0.00286613\pi$
$74$	−1.64933	−	1.83177i	−0.191731	−	0.212939i
$75$	−0.424410	+	0.471355i	−0.0490066	+	0.0544273i
$76$	−4.32899	+	9.72306i	−0.496569	+	1.11531i
$77$	−0.941935	−	2.89898i	−0.107344	−	0.330369i
$78$	0.847994	−	2.21005i	0.0960164	−	0.250239i
$79$	−3.83936	+	2.78946i	−0.431961	+	0.313838i	−0.782433	−	0.622735i	$-0.786021\pi$
$79$	−3.83936	+	2.78946i	−0.431961	+	0.313838i	0.350471	+	0.936573i	$0.386021\pi$
$80$	6.11469	+	5.50569i	0.683643	+	0.615555i
$81$	−8.15839	+	1.73412i	−0.906487	+	0.192680i
$82$	−1.10583	+	0.492348i	−0.122119	+	0.0543707i
$83$	10.4120	+	3.38305i	1.14286	+	0.371338i	0.818450	−	0.574578i	$-0.194834\pi$
$83$	10.4120	+	3.38305i	1.14286	+	0.371338i	0.324411	+	0.945916i	$0.394834\pi$
$84$	0.941239	−	0.0989283i	0.102698	−	0.0107940i
$85$	8.93227	−	0.938819i	0.968841	−	0.101829i
$86$	−2.63761	+	3.63037i	−0.284421	+	0.391472i
$87$	−0.733014	+	1.26962i	−0.0785874	+	0.136117i
$88$	7.44130	+	12.8887i	0.793245	+	1.37394i
$89$	1.67100	+	0.175629i	0.177125	+	0.0186166i	0.192676	−	0.981262i	$-0.438283\pi$
$89$	1.67100	+	0.175629i	0.177125	+	0.0186166i	−0.0155505	+	0.999879i	$0.504950\pi$
$90$	5.91516	+	18.2050i	0.623512	+	1.91897i
$91$	2.74533	−	1.78340i	0.287788	−	0.186951i
$92$	−25.7253			−2.68205
$93$	1.02458	+	1.11361i	0.106244	+	0.115476i
$94$	0.755150	+	1.30796i	0.0778878	+	0.134906i
$95$	5.02872	+	5.58496i	0.515936	+	0.573005i
$96$	0.394645	−	0.128228i	0.0402783	−	0.0130872i
$97$	1.64196	+	3.68790i	0.166716	+	0.374449i	0.977512	−	0.210879i	$-0.0676324\pi$
$97$	1.64196	+	3.68790i	0.166716	+	0.374449i	−0.810797	+	0.585328i	$0.800966\pi$
$98$	−12.9192	−	7.45893i	−1.30504	−	0.753465i
$99$			9.82339i			0.987288i
$100$	8.17647	−	3.64040i	0.817647	−	0.364040i
$101$	−3.28264	−	1.46152i	−0.326635	−	0.145427i	0.236867	−	0.971542i	$-0.423879\pi$
$101$	−3.28264	−	1.46152i	−0.326635	−	0.145427i	−0.563502	+	0.826115i	$0.690546\pi$
$102$	−0.885631	+	1.98916i	−0.0876906	+	0.196956i
$103$	3.35929	−	10.3388i	0.331000	−	1.01871i	−0.637658	−	0.770319i	$-0.720097\pi$
$103$	3.35929	−	10.3388i	0.331000	−	1.01871i	0.968659	−	0.248395i	$-0.0799032\pi$
$104$	−11.3007	+	11.3040i	−1.10813	+	1.10844i
$105$	0.206511	−	0.635574i	0.0201534	−	0.0620257i
$106$	24.3364	+	21.9126i	2.36376	+	2.12834i
$107$	−3.39120	−	1.50986i	−0.327840	−	0.145964i	0.236216	−	0.971701i	$-0.424093\pi$
$107$	−3.39120	−	1.50986i	−0.327840	−	0.145964i	−0.564055	+	0.825737i	$0.690759\pi$
$108$	−6.04213	−	1.28429i	−0.581404	−	0.123581i
$109$	6.56710	−	2.13378i	0.629014	−	0.204379i	0.0228758	−	0.999738i	$-0.492718\pi$
$109$	6.56710	−	2.13378i	0.629014	−	0.204379i	0.606138	+	0.795359i	$0.292718\pi$
$110$	21.8410	−	2.29558i	2.08245	−	0.218875i
$111$	0.0576600	−	0.271269i	0.00547284	−	0.0257477i
$112$	−2.62371	−	0.852497i	−0.247918	−	0.0805534i
$113$	14.5214	−	6.46535i	1.36606	−	0.608209i	0.412928	−	0.910764i	$-0.364506\pi$
$113$	14.5214	−	6.46535i	1.36606	−	0.608209i	0.953132	+	0.302555i	$0.0978396\pi$
$114$	−1.78215	+	0.378807i	−0.166913	+	0.0354785i
$115$	−7.38835	+	16.5945i	−0.688968	+	1.54745i
$116$	16.7364	−	12.1597i	1.55393	−	1.12900i
$117$	−10.1904	+	2.73209i	−0.942106	+	0.252582i
$118$	27.8294			2.56190
$119$	−2.60788	+	1.50566i	−0.239064	+	0.138024i
$120$	−0.341063	+	3.24499i	−0.0311346	+	0.296226i
$121$	0.264377	+	0.0561951i	0.0240343	+	0.00510865i
$122$	−12.6605	−	4.11365i	−1.14623	−	0.372433i
$123$	−0.117947	−	0.0680969i	−0.0106349	−	0.00614009i
$124$	−6.81640	−	20.2363i	−0.612130	−	1.81727i
$125$			7.22052i			0.645823i
$126$	−4.29442	−	4.76943i	−0.382577	−	0.424895i
$127$	7.10537	−	7.89131i	0.630500	−	0.700241i	−0.340250	−	0.940335i	$-0.610512\pi$
$127$	7.10537	−	7.89131i	0.630500	−	0.700241i	0.970750	+	0.240094i	$0.0771784\pi$
$128$	−20.4220	−	2.14644i	−1.80507	−	0.189720i
$129$	−0.504884			−0.0444525
$130$	8.45577	+	22.0186i	0.741620	+	1.93116i
$131$	−17.3083	−	12.5752i	−1.51223	−	1.09870i	−0.965174	−	0.261608i	$-0.915747\pi$
$131$	−17.3083	−	12.5752i	−1.51223	−	1.09870i	−0.547059	−	0.837094i	$-0.684253\pi$
$132$	−1.42330	+	3.19677i	−0.123882	+	0.278244i
$133$	−2.30190	−	1.02487i	−0.199600	−	0.0888677i
$134$	−17.1291	−	19.0238i	−1.47973	−	1.64340i
$135$	−2.56377	+	3.52872i	−0.220654	+	0.303704i
$136$	10.9262	−	9.83802i	0.936916	−	0.843603i
$137$	−3.45440	+	16.2517i	−0.295130	+	1.38848i	0.541497	+	0.840702i	$0.317858\pi$
$137$	−3.45440	+	16.2517i	−0.295130	+	1.38848i	−0.836627	+	0.547773i	$0.815476\pi$
$138$	−2.58848	−	3.56274i	−0.220346	−	0.303281i
$139$	−18.1880	−	3.86598i	−1.54269	−	0.327908i	−0.643490	−	0.765455i	$-0.722514\pi$
$139$	−18.1880	−	3.86598i	−1.54269	−	0.327908i	−0.899196	+	0.437547i	$0.855848\pi$
$140$	−6.31004	+	7.00801i	−0.533296	+	0.592285i
$141$	−0.0691155	+	0.155236i	−0.00582057	+	0.0130732i
$142$	3.93442	+	12.1089i	0.330169	+	1.01616i
$143$	0.635225	+	12.0876i	0.0531202	+	1.01082i
$144$	7.19268	+	5.22579i	0.599390	+	0.435482i
$145$	−3.03708	−	14.2884i	−0.252216	−	1.18658i
$146$	−21.8894	−	9.74580i	−1.81158	−	0.806568i
$147$	−0.175444	−	1.66924i	−0.0144704	−	0.137677i
$148$	−2.30025	+	3.16603i	−0.189080	+	0.260246i
$149$	−11.4777	−	6.62666i	−0.940291	−	0.542877i	−0.0502395	−	0.998737i	$-0.515998\pi$
$149$	−11.4777	−	6.62666i	−0.940291	−	0.542877i	−0.890052	+	0.455860i	$0.849332\pi$
$150$	1.32688	+	0.766076i	0.108340	+	0.0625499i
$151$	1.69130	−	2.32788i	0.137636	−	0.189440i	−0.734635	−	0.678463i	$-0.762647\pi$
$151$	1.69130	−	2.32788i	0.137636	−	0.189440i	0.872271	+	0.489023i	$0.162647\pi$
$152$	12.0337	+	2.55785i	0.976065	+	0.207469i
$153$	9.49257	−	2.01771i	0.767429	−	0.163122i
$154$	−6.37672	+	3.68160i	−0.513851	+	0.296672i
$155$	−15.0114	−	1.41488i	−1.20575	−	0.113646i
$156$	−3.71207	−	0.587387i	−0.297203	−	0.0470286i
$157$	5.30882	−	16.3389i	0.423690	−	1.30398i	−0.480553	−	0.876965i	$-0.659564\pi$
$157$	5.30882	−	16.3389i	0.423690	−	1.30398i	0.904243	−	0.427018i	$-0.140436\pi$
$158$	8.51927	+	7.67078i	0.677756	+	0.610255i
$159$	−0.385137	+	3.66434i	−0.0305434	+	0.290601i
$160$	−2.06731	+	3.58069i	−0.163435	+	0.283078i
$161$		−	6.09037i		−	0.479988i
$162$	8.19485	+	18.4059i	0.643848	+	1.44611i
$163$	−7.85242	+	0.825323i	−0.615049	+	0.0646443i	−0.406930	−	0.913459i	$-0.633401\pi$
$163$	−7.85242	+	0.825323i	−0.615049	+	0.0646443i	−0.208119	+	0.978104i	$0.566734\pi$
$164$	1.12963	+	1.55481i	0.0882095	+	0.121410i
$165$	1.65336	+	1.83624i	0.128714	+	0.142951i
$166$	2.76432	−	26.3008i	0.214553	−	2.04133i
$167$	0.439060	+	2.06562i	0.0339755	+	0.159842i	0.991865	−	0.127295i	$-0.0406296\pi$
$167$	0.439060	+	2.06562i	0.0339755	+	0.159842i	−0.957889	+	0.287138i	$0.907296\pi$
$168$	−0.338058	−	1.04044i	−0.0260817	−	0.0802714i
$169$	−12.3626	+	4.02077i	−0.950968	+	0.309290i
$170$	−6.70436	−	20.6339i	−0.514201	−	1.58255i
$171$	6.03465	+	5.43363i	0.461481	+	0.415520i
$172$	6.50853	+	2.89778i	0.496271	+	0.220954i
$173$	−5.12494	−	1.08934i	−0.389642	−	0.0828210i	0.00892495	−	0.999960i	$-0.497159\pi$
$173$	−5.12494	−	1.08934i	−0.389642	−	0.0828210i	−0.398567	+	0.917139i	$0.630492\pi$
$174$	3.36803	+	1.09434i	0.255330	+	0.0829618i
$175$	0.861852	+	1.93575i	0.0651499	+	0.146329i
$176$	7.58018	−	6.82523i	0.571378	−	0.514471i
$177$	1.84043	+	2.53314i	0.138336	+	0.190403i
$178$	−0.424252	−	4.03649i	−0.0317990	−	0.302547i
$179$	1.74961	−	16.6465i	0.130772	−	1.24422i	−0.710536	−	0.703661i	$-0.751548\pi$
$179$	1.74961	−	16.6465i	0.130772	−	1.24422i	0.841309	−	0.540555i	$-0.181786\pi$
$180$	26.3193	−	15.1955i	1.96173	−	1.13260i
$181$	7.98643			0.593626			0.296813	−	0.954936i	$-0.404076\pi$
$181$	7.98643			0.593626			0.296813	+	0.954936i	$0.404076\pi$
$182$	−5.59266	−	5.59105i	−0.414555	−	0.414436i
$183$	−0.462835	−	1.42446i	−0.0342138	−	0.105299i
$184$	6.18248	+	29.0863i	0.455778	+	2.14427i
$185$	1.38166	+	2.39311i	0.101582	+	0.175945i
$186$	2.11670	−	2.98020i	0.155204	−	0.218519i
$187$		−	11.1340i		−	0.814202i
$188$	1.78196	−	1.60448i	0.129962	−	0.117019i
$189$	0.304052	−	1.43045i	0.0221165	−	0.104050i
$190$	10.6707	−	14.6870i	0.774135	−	1.06551i
$191$	−3.40619	+	5.89970i	−0.246463	+	0.426887i	−0.962542	−	0.271132i	$-0.912602\pi$
$191$	−3.40619	+	5.89970i	−0.246463	+	0.426887i	0.716079	+	0.698020i	$0.245935\pi$
$192$	−1.32697	−	2.29837i	−0.0957656	−	0.165871i
$193$	14.6939	+	1.54439i	1.05769	+	0.111168i	0.617371	−	0.786672i	$-0.288198\pi$
$193$	14.6939	+	1.54439i	1.05769	+	0.111168i	0.440321	+	0.897840i	$0.354865\pi$
$194$	7.88923	−	5.73186i	0.566413	−	0.411523i
$195$	−1.44502	+	2.22583i	−0.103480	+	0.159395i
$196$	−7.31895	+	22.5254i	−0.522782	+	1.60896i
$197$	1.89150	+	0.198805i	0.134764	+	0.0141642i	0.171670	−	0.985154i	$-0.445084\pi$
$197$	1.89150	+	0.198805i	0.134764	+	0.0141642i	−0.0369064	+	0.999319i	$0.511750\pi$
$198$	23.2110	−	4.93365i	1.64953	−	0.350619i
$199$	0.149457	+	0.0317681i	0.0105947	+	0.00225198i	0.213206	−	0.977007i	$-0.431609\pi$
$199$	0.149457	+	0.0317681i	0.0105947	+	0.00225198i	−0.202611	+	0.979259i	$0.564943\pi$
$200$	−6.08104	−	8.36983i	−0.429994	−	0.591836i
$201$	0.598825	−	2.81725i	0.0422379	−	0.198714i
$202$	−1.80468	+	8.49034i	−0.126977	+	0.597378i
$203$	2.87876	+	3.96228i	0.202050	+	0.278097i
$204$	3.38146	+	0.718751i	0.236750	+	0.0503227i
$205$	1.32739	−	0.282144i	0.0927086	−	0.0197058i
$206$	−26.1160	−	2.74490i	−1.81959	−	0.191247i
$207$	−6.06525	+	18.6669i	−0.421564	+	1.29744i
$208$	9.18845	+	5.96518i	0.637105	+	0.413611i
$209$	7.53720	−	5.47610i	0.521359	−	0.378789i
$210$	−1.60547	−	0.168742i	−0.110788	−	0.0116443i
$211$	1.17349	+	2.03255i	0.0807865	+	0.139926i	0.903588	−	0.428403i	$-0.140923\pi$
$211$	1.17349	+	2.03255i	0.0807865	+	0.139926i	−0.822801	+	0.568329i	$0.807590\pi$
$212$	25.9964	−	45.0270i	1.78544	−	3.09247i
$213$	−0.842006	+	1.15892i	−0.0576933	+	0.0794081i
$214$	−1.86436	+	8.77113i	−0.127445	+	0.599582i
$215$	3.73852	−	3.36618i	0.254965	−	0.229572i
$216$			7.14018i			0.485828i
$217$	4.79087	−	1.61376i	0.325226	−	0.109549i
$218$	−8.33998	−	14.4453i	−0.564855	−	0.978358i
$219$	−0.560508	−	2.63698i	−0.0378756	−	0.178191i
$220$	−10.7746	−	33.1607i	−0.726421	−	2.23569i
$221$	11.5501	−	3.09661i	0.776941	−	0.208300i
$222$	−0.669921			−0.0449621
$223$	−8.79785	+	5.07944i	−0.589147	+	0.340144i	−0.764760	−	0.644315i	$-0.777143\pi$
$223$	−8.79785	+	5.07944i	−0.589147	+	0.340144i	0.175613	+	0.984459i	$0.443809\pi$
$224$	0.144904	−	1.37867i	0.00968179	−	0.0921161i
$225$	−0.713800	−	6.79135i	−0.0475866	−	0.452757i
$226$	−22.5697	−	31.0645i	−1.50131	−	2.06638i
$227$	5.59817	−	5.04062i	0.371564	−	0.334557i	−0.462102	−	0.886827i	$-0.652905\pi$
$227$	5.59817	−	5.04062i	0.371564	−	0.334557i	0.833666	+	0.552269i	$0.186238\pi$
$228$	1.17656	+	2.64259i	0.0779193	+	0.175010i
$229$	−24.5860	−	7.98847i	−1.62469	−	0.527893i	−0.651647	−	0.758523i	$-0.725922\pi$
$229$	−24.5860	−	7.98847i	−1.62469	−	0.527893i	−0.973042	+	0.230629i	$0.925922\pi$
$230$	42.9207	+	9.12307i	2.83011	+	0.601558i
$231$	−0.756825	−	0.336960i	−0.0497954	−	0.0221703i
$232$	−17.7705	−	16.0007i	−1.16669	−	1.05050i
$233$	−4.61962	−	14.2177i	−0.302641	−	0.931434i	−0.980547	−	0.196285i	$-0.937112\pi$
$233$	−4.61962	−	14.2177i	−0.302641	−	0.931434i	0.677906	−	0.735149i	$-0.262888\pi$
$234$	11.5734	+	22.7061i	0.756580	+	1.48434i
$235$	−0.523215	−	1.61029i	−0.0341308	−	0.105044i
$236$	−9.18633	−	43.2183i	−0.597979	−	2.81327i
$237$	−0.134822	+	1.28275i	−0.00875765	+	0.0833235i
$238$	4.86738	+	5.40578i	0.315506	+	0.350404i
$239$	5.62852	+	7.74699i	0.364078	+	0.501111i	0.951279	−	0.308330i	$-0.0997702\pi$
$239$	5.62852	+	7.74699i	0.364078	+	0.501111i	−0.587201	+	0.809441i	$0.699770\pi$
$240$	2.22404	−	0.233756i	0.143561	−	0.0150889i
$241$	−7.28995	−	16.3735i	−0.469587	−	1.05471i	−0.980757	−	0.195231i	$-0.937454\pi$
$241$	−7.28995	−	16.3735i	−0.469587	−	1.05471i	0.511170	−	0.859480i	$-0.329212\pi$
$242$		−	0.652901i		−	0.0419701i
$243$	−3.54939	+	6.14772i	−0.227694	+	0.394377i
$244$	−2.20923	+	21.0194i	−0.141431	+	1.34563i
$245$	12.4284	+	11.1906i	0.794019	+	0.714938i
$246$	−0.101664	+	0.312890i	−0.00648186	+	0.0199491i
$247$	7.77696	+	6.29581i	0.494836	+	0.400593i
$248$	−21.2420	+	12.5703i	−1.34887	+	0.798213i
$249$	2.57681	−	1.48772i	0.163299	−	0.0942807i
$250$	17.0609	−	3.62640i	1.07902	−	0.229353i
$251$	2.00040	+	0.425198i	0.126264	+	0.0268382i	0.270610	−	0.962689i	$-0.412775\pi$
$251$	2.00040	+	0.425198i	0.126264	+	0.0268382i	−0.144346	+	0.989527i	$0.546108\pi$
$252$	−5.98924	+	8.24349i	−0.377287	+	0.519291i
$253$	19.5016	+	11.2593i	1.22606	+	0.707864i
$254$	−22.2144	−	12.8255i	−1.39385	−	0.804742i
$255$	1.43480	−	1.97484i	0.0898509	−	0.123669i
$256$	3.14357	+	29.9091i	0.196473	+	1.86932i
$257$	−19.4603	−	8.66426i	−1.21390	−	0.540462i	−0.302959	−	0.953004i	$-0.597974\pi$
$257$	−19.4603	−	8.66426i	−1.21390	−	0.540462i	−0.910939	+	0.412542i	$0.864641\pi$
$258$	0.253570	+	1.19295i	0.0157866	+	0.0742700i
$259$	−0.749546	−	0.544577i	−0.0465745	−	0.0338384i
$260$	31.4031	−	20.3998i	1.94754	−	1.26514i
$261$	−4.87744	−	15.0112i	−0.301906	−	0.929172i
$262$	−21.0203	+	47.2123i	−1.29864	+	2.91678i
$263$	17.1934	−	19.0952i	1.06019	−	1.17746i	0.0765996	−	0.997062i	$-0.475594\pi$
$263$	17.1934	−	19.0952i	1.06019	−	1.17746i	0.983593	−	0.180401i	$-0.0577397\pi$
$264$	3.95648	+	0.840977i	0.243505	+	0.0517585i
$265$	−21.5792	−	29.7012i	−1.32560	−	1.82453i
$266$	−1.26550	+	5.95372i	−0.0775929	+	0.365046i
$267$	0.339360	−	0.305561i	0.0207685	−	0.0187001i
$268$	−23.8892	+	32.8807i	−1.45927	+	2.00851i
$269$	2.21810	+	2.46345i	0.135240	+	0.150199i	0.806960	−	0.590606i	$-0.201111\pi$
$269$	2.21810	+	2.46345i	0.135240	+	0.150199i	−0.671721	+	0.740805i	$0.734444\pi$
$270$	9.62538	+	4.28549i	0.585782	+	0.260807i
$271$	11.2107	−	25.1797i	0.681002	−	1.52955i	−0.159180	−	0.987250i	$-0.550885\pi$
$271$	11.2107	−	25.1797i	0.681002	−	1.52955i	0.840182	−	0.542305i	$-0.182448\pi$
$272$	−8.15233	−	5.92302i	−0.494308	−	0.359136i
$273$	0.139062	−	0.878819i	0.00841641	−	0.0531885i
$274$	40.1349			2.42464
$275$	−7.79165	−	0.818936i	−0.469854	−	0.0493837i
$276$	−4.67840	+	5.19589i	−0.281607	+	0.312756i
$277$	−1.82036	−	2.02171i	−0.109375	−	0.121473i	0.685971	−	0.727629i	$-0.259378\pi$
$277$	−1.82036	−	2.02171i	−0.109375	−	0.121473i	−0.795346	+	0.606156i	$0.792711\pi$
$278$			44.9167i			2.69393i
$279$	−16.2911	+	0.175035i	−0.975321	+	0.0104791i
$280$	9.44007	+	5.45023i	0.564152	+	0.325713i
$281$	21.9381	+	7.12811i	1.30872	+	0.425227i	0.878605	−	0.477549i	$-0.158475\pi$
$281$	21.9381	+	7.12811i	1.30872	+	0.425227i	0.430110	+	0.902776i	$0.358475\pi$
$282$	0.401508	+	0.0853431i	0.0239095	+	0.00508211i
$283$	−2.72213	+	25.8994i	−0.161814	+	1.53956i	0.548787	+	0.835962i	$0.315090\pi$
$283$	−2.72213	+	25.8994i	−0.161814	+	1.53956i	−0.710601	+	0.703595i	$0.751577\pi$
$284$	17.5061	−	10.1071i	1.03879	−	0.599748i
$285$	2.04255			0.120990
$286$	28.2419	−	7.57174i	1.66998	−	0.447727i
$287$	−0.368095	+	0.267436i	−0.0217279	+	0.0157863i
$288$	−1.81711	+	4.08129i	−0.107074	+	0.240493i
$289$	5.86943	−	1.24759i	0.345260	−	0.0733874i
$290$	−32.2356	+	14.3522i	−1.89294	+	0.842791i
$291$	1.04347	+	0.339045i	0.0611695	+	0.0198752i
$292$	−7.90940	+	37.2108i	−0.462862	+	2.17760i
$293$	13.6626	−	1.43600i	0.798178	−	0.0838919i	0.303346	−	0.952880i	$-0.401896\pi$
$293$	13.6626	−	1.43600i	0.798178	−	0.0838919i	0.494832	+	0.868989i	$0.335230\pi$
$294$	−3.85602	+	1.25290i	−0.224888	+	0.0730704i
$295$	−30.5170	−	6.48659i	−1.77677	−	0.377664i
$296$	4.13248	+	1.83990i	0.240195	+	0.106942i
$297$	4.01827	+	3.61806i	0.233163	+	0.209941i
$298$	−9.89316	+	30.4480i	−0.573095	+	1.76381i
$299$	−6.25615	+	23.3617i	−0.361803	+	1.35104i
$300$	0.751700	−	2.31349i	0.0433994	−	0.133570i
$301$	−0.686040	+	1.54087i	−0.0395427	+	0.0888143i
$302$	−6.34980	−	2.82711i	−0.365390	−	0.162682i
$303$	−0.892173	+	0.397221i	−0.0512540	+	0.0228198i
$304$		−	8.43187i		−	0.483601i
$305$	12.9244	+	7.46190i	0.740049	+	0.427267i
$306$	−9.53500	−	21.4160i	−0.545079	−	1.22427i
$307$	23.4102	−	7.60642i	1.33609	−	0.434121i	0.448098	−	0.893984i	$-0.352101\pi$
$307$	23.4102	−	7.60642i	1.33609	−	0.434121i	0.887990	+	0.459863i	$0.152101\pi$
$308$	7.82236	+	8.68761i	0.445720	+	0.495022i
$309$	−1.47727	−	2.55871i	−0.0840392	−	0.145560i
$310$	4.19614	+	36.1801i	0.238325	+	2.05489i
$311$	7.11541			0.403478			0.201739	−	0.979439i	$-0.435341\pi$
$311$	7.11541			0.403478			0.201739	+	0.979439i	$0.435341\pi$
$312$	0.227980	+	4.33821i	0.0129069	+	0.245603i
$313$	−8.73818	−	26.8934i	−0.493911	−	1.52010i	−0.818647	−	0.574298i	$-0.805275\pi$
$313$	−8.73818	−	26.8934i	−0.493911	−	1.52010i	0.324735	−	0.945805i	$-0.394725\pi$
$314$	−41.2722	−	4.33788i	−2.32913	−	0.244801i
$315$	3.59747	+	6.23100i	0.202695	+	0.351077i
$316$	9.10037	−	15.7623i	0.511936	−	0.886699i
$317$	−14.8309	+	20.4130i	−0.832988	+	1.14651i	0.154372	+	0.988013i	$0.450665\pi$
$317$	−14.8309	+	20.4130i	−0.832988	+	1.14651i	−0.987360	+	0.158497i	$0.949335\pi$
$318$	8.85163	−	0.930344i	0.496375	−	0.0521711i
$319$	−18.0093	+	1.89286i	−1.00833	+	0.105980i
$320$	25.1496	+	8.17162i	1.40591	+	0.456807i
$321$	−0.921679	+	0.410358i	−0.0514431	+	0.0229039i
$322$	−14.3905	+	3.05880i	−0.801951	+	0.170460i
$323$	−6.83981	−	6.15859i	−0.380577	−	0.342673i
$324$	25.8789	−	18.8021i	1.43772	−	1.04456i
$325$	−1.31748	−	8.31055i	−0.0730809	−	0.460986i
$326$	5.89386	+	18.1394i	0.326431	+	1.00465i
$327$	0.763321	−	1.71445i	0.0422117	−	0.0948091i
$328$	1.48646	−	1.65088i	0.0820759	−	0.0911546i
$329$	0.379855	+	0.421872i	0.0209421	+	0.0232585i
$330$	3.50835	−	4.82882i	0.193128	−	0.265818i
$331$	−10.8089	+	9.73236i	−0.594110	+	0.534939i	−0.910403	−	0.413723i	$-0.864228\pi$
$331$	−10.8089	+	9.73236i	−0.594110	+	0.534939i	0.316293	+	0.948661i	$0.397562\pi$
$332$	−41.7569	+	4.38883i	−2.29171	+	0.240868i
$333$	1.75502	+	2.41558i	0.0961745	+	0.132373i
$334$	4.66019	−	2.07485i	0.254994	−	0.113531i
$335$	14.3492	+	24.8535i	0.783979	+	1.35789i
$336$	−0.649333	+	0.374892i	−0.0354240	+	0.0204521i
$337$	6.10006	+	4.43195i	0.332291	+	0.241424i	0.741402	−	0.671061i	$-0.234161\pi$
$337$	6.10006	+	4.43195i	0.332291	+	0.241424i	−0.409111	+	0.912485i	$0.634161\pi$
$338$	15.7093	+	27.1913i	0.854474	+	1.47901i
$339$	1.33502	−	4.10877i	0.0725083	−	0.223158i
$340$	−29.8309	+	17.2229i	−1.61781	+	0.934041i
$341$	−3.68957	+	18.3239i	−0.199801	+	0.992296i
$342$	9.80792	−	16.9878i	0.530351	−	0.918596i
$343$	−11.3775	−	3.69678i	−0.614329	−	0.199607i
$344$	1.71220	−	8.05528i	0.0923157	−	0.434311i
$345$	2.00805	+	4.51015i	0.108110	+	0.242818i
$346$			12.6565i			0.680416i
$347$	−6.96974	+	12.0720i	−0.374155	+	0.648056i	−0.990200	−	0.139655i	$-0.955401\pi$
$347$	−6.96974	+	12.0720i	−0.374155	+	0.648056i	0.616045	+	0.787711i	$0.288734\pi$
$348$	0.587713	−	5.59171i	0.0315047	−	0.299747i
$349$	−11.2645	+	25.3004i	−0.602972	+	1.35430i	0.311730	+	0.950171i	$0.399091\pi$
$349$	−11.2645	+	25.3004i	−0.602972	+	1.35430i	−0.914703	+	0.404127i	$0.867575\pi$
$350$	4.14099	−	3.00861i	0.221345	−	0.160817i
$351$	−2.63569	+	5.17466i	−0.140683	+	0.276203i
$352$	4.14666	+	3.01273i	0.221018	+	0.160579i
$353$	−5.72923	−	26.9539i	−0.304936	−	1.43461i	−0.817484	−	0.575952i	$-0.804632\pi$
$353$	−5.72923	−	26.9539i	−0.304936	−	1.43461i	0.512548	−	0.858659i	$-0.328702\pi$
$354$	5.06105	−	5.62086i	0.268992	−	0.298746i
$355$	−1.49199	−	14.1954i	−0.0791868	−	0.753412i
$356$	−6.12852	+	1.99128i	−0.324811	+	0.105537i
$357$	−0.170162	+	0.800548i	−0.00900592	+	0.0423695i
$358$	−40.2115	+	4.22640i	−2.12524	+	0.223372i
$359$	29.7536	−	9.66754i	1.57034	−	0.510233i	0.610793	−	0.791791i	$-0.290851\pi$
$359$	29.7536	−	9.66754i	1.57034	−	0.510233i	0.959544	+	0.281557i	$0.0908509\pi$
$360$	−23.5060	−	26.1060i	−1.23887	−	1.37591i
$361$	−1.18103	+	11.2367i	−0.0621592	+	0.591405i
$362$	−4.01106	−	18.8706i	−0.210817	−	0.991815i
$363$	0.0594297	−	0.0431782i	0.00311925	−	0.00226627i
$364$	−6.83666	+	10.5308i	−0.358338	+	0.551966i
$365$	21.7318	+	15.7891i	1.13750	+	0.826439i
$366$	−3.13330	+	1.80901i	−0.163780	+	0.0945587i
$367$	1.43292	+	2.48188i	0.0747976	+	0.129553i	0.900998	−	0.433823i	$-0.142836\pi$
$367$	1.43292	+	2.48188i	0.0747976	+	0.129553i	−0.826201	+	0.563376i	$0.809502\pi$
$368$	18.6184	−	8.28943i	0.970549	−	0.432116i
$369$	1.39454	−	0.453113i	0.0725968	−	0.0235881i
$370$	4.96058	−	4.46653i	0.257888	−	0.232204i
$371$	10.6600	+	6.15454i	0.553439	+	0.319528i
$372$	−5.32688	−	2.30343i	−0.276186	−	0.119427i
$373$	−1.83806	+	3.18362i	−0.0951713	+	0.164842i	−0.909680	−	0.415310i	$-0.863673\pi$
$373$	−1.83806	+	3.18362i	−0.0951713	+	0.164842i	0.814509	+	0.580151i	$0.197007\pi$
$374$	−26.3078	+	5.59190i	−1.36035	+	0.289150i
$375$	1.45837	+	1.31312i	0.0753100	+	0.0678095i
$376$	−2.24235	−	1.62917i	−0.115641	−	0.0840178i
$377$	−6.97235	−	18.1558i	−0.359094	−	0.935071i
$378$	−3.53262			−0.181698
$379$	34.9745	+	3.67597i	1.79652	+	0.188822i	0.943125	−	0.332439i	$-0.107872\pi$
$379$	34.9745	+	3.67597i	1.79652	+	0.188822i	0.853397	+	0.521261i	$0.174538\pi$
$380$	−26.3309	−	11.7233i	−1.35074	−	0.601390i
$381$	−0.301673	−	2.87023i	−0.0154552	−	0.147046i
$382$	15.6507	+	5.08522i	0.800759	+	0.260182i
$383$	−1.41237	−	3.17223i	−0.0721686	−	0.162093i	0.873859	−	0.486179i	$-0.161610\pi$
$383$	−1.41237	−	3.17223i	−0.0721686	−	0.162093i	−0.946028	+	0.324086i	$0.894943\pi$
$384$	−4.14747	+	3.73440i	−0.211650	+	0.190570i
$385$	7.85068	−	2.55084i	0.400108	−	0.130003i
$386$	−3.73066	−	35.4949i	−0.189886	−	1.80664i
$387$	3.63722	−	4.03954i	0.184890	−	0.205342i
$388$	−11.5056	−	10.3597i	−0.584110	−	0.525935i
$389$	6.82181	−	4.95634i	0.345880	−	0.251296i	−0.401259	−	0.915965i	$-0.631427\pi$
$389$	6.82181	−	4.95634i	0.345880	−	0.251296i	0.747138	+	0.664668i	$0.231427\pi$
$390$	5.98499	+	2.29644i	0.303062	+	0.116285i
$391$	6.87448	−	21.1575i	0.347658	−	1.06998i
$392$	27.2273	+	2.86170i	1.37518	+	0.144538i
$393$	−5.68758	+	1.20893i	−0.286901	+	0.0609826i
$394$	−0.480235	−	4.56914i	−0.0241939	−	0.230190i
$395$	−7.55408	−	10.3973i	−0.380087	−	0.523145i
$396$	−15.3237	−	34.4175i	−0.770043	−	1.72955i
$397$	16.6547	+	9.61560i	0.835876	+	0.482593i	0.855860	−	0.517207i	$-0.173028\pi$
$397$	16.6547	+	9.61560i	0.835876	+	0.482593i	−0.0199846	+	0.999800i	$0.506362\pi$
$398$		−	0.369097i		−	0.0185012i
$399$	−0.625623	+	0.278545i	−0.0313203	+	0.0139447i
$400$	−4.74458	+	5.26939i	−0.237229	+	0.263469i
$401$	−1.70617	−	8.02690i	−0.0852021	−	0.400844i	0.914793	−	0.403923i	$-0.132354\pi$
$401$	−1.70617	−	8.02690i	−0.0852021	−	0.400844i	−0.999995	+	0.00307820i	$0.999020\pi$
$402$	−6.95744			−0.347005
$403$	−20.0347	+	1.26883i	−0.998001	+	0.0632051i
$404$	13.7810			0.685630
$405$	−4.69614	−	22.0936i	−0.233353	−	1.09784i
$406$	7.91637	−	8.79202i	0.392883	−	0.436341i
$407$	3.12944	−	1.39332i	0.155121	−	0.0690641i
$408$		−	3.99598i		−	0.197830i
$409$	−25.8331	−	14.9148i	−1.27737	−	0.737488i	−0.301003	−	0.953623i	$-0.597321\pi$
$409$	−25.8331	−	14.9148i	−1.27737	−	0.737488i	−0.976363	+	0.216136i	$0.930655\pi$
$410$	−1.33332	−	2.99468i	−0.0658479	−	0.147897i
$411$	2.65423	+	3.65324i	0.130924	+	0.180201i
$412$	4.35800	+	41.4636i	0.214703	+	2.04277i
$413$	10.2318	−	2.17483i	0.503473	−	0.107016i
$414$	47.1529	+	4.95597i	2.31744	+	0.243573i
$415$	−9.16158	+	28.1964i	−0.449724	+	1.38411i
$416$	−1.97202	+	5.13950i	−0.0966864	+	0.251985i
$417$	−4.08851	+	2.97047i	−0.200215	+	0.145465i
$418$	−16.7245	−	15.0588i	−0.818023	−	0.736551i
$419$	10.7989	−	11.9934i	0.527562	−	0.585916i	−0.419183	−	0.907902i	$-0.637683\pi$
$419$	10.7989	−	11.9934i	0.527562	−	0.585916i	0.946745	+	0.321985i	$0.104350\pi$
$420$	0.267906	+	2.54895i	0.0130725	+	0.124376i
$421$	28.1844	−	9.15767i	1.37362	−	0.446318i	0.473056	−	0.881032i	$-0.343151\pi$
$421$	28.1844	−	9.15767i	1.37362	−	0.446318i	0.900568	+	0.434715i	$0.143151\pi$
$422$	4.21319	−	3.79358i	0.205095	−	0.184668i
$423$	−0.744120	−	1.67132i	−0.0361803	−	0.0812624i
$424$	−57.1573	−	18.5715i	−2.77581	−	0.901914i
$425$	0.809036	+	7.69746i	0.0392440	+	0.373382i
$426$	3.16122	+	1.40747i	0.153162	+	0.0681920i
$427$	−4.97626	−	0.523026i	−0.240818	−	0.0253110i
$428$	14.2368			0.688160
$429$	2.55693	+	2.06995i	0.123450	+	0.0999382i
$430$	−9.83133	−	7.14288i	−0.474109	−	0.344460i
$431$	17.8837	+	16.1025i	0.861426	+	0.775632i	0.975997	−	0.217783i	$-0.0698826\pi$
$431$	17.8837	+	16.1025i	0.861426	+	0.775632i	−0.114571	+	0.993415i	$0.536549\pi$
$432$	4.78675	−	1.01746i	0.230303	−	0.0489524i
$433$	14.6092	−	25.3039i	0.702074	−	1.21603i	−0.265663	−	0.964066i	$-0.585591\pi$
$433$	14.6092	−	25.3039i	0.702074	−	1.21603i	0.967737	−	0.251962i	$-0.0810759\pi$
$434$	−6.21917	−	10.5095i	−0.298530	−	0.504473i
$435$	−3.43823	−	1.98506i	−0.164851	−	0.0951765i
$436$	−19.6802	+	17.7201i	−0.942509	+	0.848639i
$437$	17.7037	−	5.75227i	0.846882	−	0.275169i
$438$	−5.94923	+	2.64877i	−0.284265	+	0.126563i
$439$	3.35045	+	5.80315i	0.159908	+	0.276969i	0.934835	−	0.355081i	$-0.115547\pi$
$439$	3.35045	+	5.80315i	0.159908	+	0.276969i	−0.774927	+	0.632051i	$0.782213\pi$
$440$	−34.9037	+	20.1517i	−1.66397	+	0.960692i
$441$	14.6194	+	10.6216i	0.696163	+	0.505792i
$442$	−13.1176	−	25.7356i	−0.623940	−	1.22412i
$443$	20.3766	−	14.8044i	0.968119	−	0.703380i	0.0130972	−	0.999914i	$-0.495831\pi$
$443$	20.3766	−	14.8044i	0.968119	−	0.703380i	0.955022	+	0.296534i	$0.0958309\pi$
$444$	0.221138	+	1.04037i	0.0104947	+	0.0493738i
$445$	−0.475617	+	4.52520i	−0.0225464	+	0.214515i
$446$	16.4204	+	18.2367i	0.777530	+	0.863534i
$447$	−3.42576	+	1.11310i	−0.162033	+	0.0526478i
$448$	−8.81758	+	0.926765i	−0.416591	+	0.0437855i
$449$	−7.49326	+	35.2530i	−0.353629	+	1.66369i	0.337776	+	0.941226i	$0.390325\pi$
$449$	−7.49326	+	35.2530i	−0.353629	+	1.66369i	−0.691405	+	0.722467i	$0.743008\pi$
$450$	−15.6883	+	5.09744i	−0.739554	+	0.240296i
$451$	−0.175846	−	1.67306i	−0.00828027	−	0.0787815i
$452$	−40.7922	+	45.3044i	−1.91871	+	2.13094i
$453$	−0.162595	−	0.764950i	−0.00763938	−	0.0359405i
$454$	−14.7217	−	10.6959i	−0.690924	−	0.501986i
$455$	4.82958	+	7.43457i	0.226414	+	0.348538i
$456$	2.70508	−	1.96536i	0.126677	−	0.0920362i
$457$	0.374653	−	0.841485i	0.0175255	−	0.0393630i	−0.904571	−	0.426324i	$-0.859808\pi$
$457$	0.374653	−	0.841485i	0.0175255	−	0.0393630i	0.922096	+	0.386961i	$0.126475\pi$
$458$	−6.52746	+	62.1046i	−0.305008	+	2.90196i
$459$	2.67087	−	4.62609i	0.124666	−	0.215927i
$460$		−	69.6662i		−	3.24821i
$461$	−13.5055	−	30.3338i	−0.629012	−	1.41278i	−0.893795	−	0.448476i	$-0.851967\pi$
$461$	−13.5055	−	30.3338i	−0.629012	−	1.41278i	0.264783	−	0.964308i	$-0.414700\pi$
$462$	−0.416075	+	1.95748i	−0.0193576	+	0.0910702i
$463$	−16.8603	−	5.47823i	−0.783563	−	0.254595i	−0.110202	−	0.993909i	$-0.535150\pi$
$463$	−16.8603	−	5.47823i	−0.783563	−	0.254595i	−0.673361	+	0.739314i	$0.735150\pi$
$464$	−8.19455	+	14.1934i	−0.380422	+	0.658911i
$465$	−3.01575	+	2.77464i	−0.139852	+	0.128671i
$466$	−31.2739	+	18.0560i	−1.44874	+	0.836428i
$467$	−4.70082	+	14.4676i	−0.217528	+	0.669482i	0.781437	+	0.623985i	$0.214487\pi$
$467$	−4.70082	+	14.4676i	−0.217528	+	0.669482i	−0.998964	+	0.0454973i	$0.985513\pi$
$468$	31.4417	−	25.4684i	1.45339	−	1.17728i
$469$	−7.78438	−	5.65568i	−0.359449	−	0.261155i
$470$	−3.54206	+	2.04501i	−0.163383	+	0.0943293i
$471$	−2.33460	−	4.04364i	−0.107573	−	0.186321i
$472$	−46.6570	+	20.7730i	−2.14756	+	0.956156i
$473$	−3.66565	−	5.04533i	−0.168547	−	0.231985i
$474$	3.09863	−	0.325679i	0.142325	−	0.0149589i
$475$	−4.81289	+	4.33355i	−0.220831	+	0.198837i
$476$	6.78834	−	9.34334i	0.311143	−	0.428251i
$477$	−26.5436	−	29.4796i	−1.21535	−	1.34978i
$478$	15.4780	−	17.1900i	0.707946	−	0.786254i
$479$	3.97795	−	8.93461i	0.181757	−	0.408233i	−0.799572	−	0.600570i	$-0.794940\pi$
$479$	3.97795	−	8.93461i	0.181757	−	0.408233i	0.981329	+	0.192338i	$0.0616069\pi$
$480$	0.347252	+	1.06873i	0.0158498	+	0.0487807i
$481$	2.31574	+	2.85886i	0.105589	+	0.130353i
$482$	−35.0265	+	25.4483i	−1.59541	+	1.15914i
$483$	−1.23011	−	1.10760i	−0.0559719	−	0.0503973i
$484$	−1.01394	+	0.215519i	−0.0460881	+	0.00979634i
$485$	−9.98714	+	4.44656i	−0.453493	+	0.201908i
$486$	16.3086	+	5.29900i	0.739775	+	0.240368i
$487$	36.3009	−	3.81538i	1.64495	−	0.172891i	0.763711	−	0.645558i	$-0.223375\pi$
$487$	36.3009	−	3.81538i	1.64495	−	0.172891i	0.881241	+	0.472667i	$0.156709\pi$
$488$	24.2965	−	2.55366i	1.09985	−	0.115599i
$489$	−1.26135	+	1.73609i	−0.0570401	+	0.0785089i
$490$	20.1994	−	34.9864i	0.912516	−	1.58052i
$491$	9.05488	+	15.6835i	0.408641	+	0.707787i	0.994738	−	0.102454i	$-0.0326695\pi$
$491$	9.05488	+	15.6835i	0.408641	+	0.707787i	−0.586097	+	0.810241i	$0.699336\pi$
$492$	0.519469	+	0.0545984i	0.0234195	+	0.00246148i
$493$	5.52820	+	17.0140i	0.248978	+	0.766274i
$494$	10.9701	−	21.5376i	0.493566	−	0.969022i
$495$	−26.6026			−1.19570
$496$	11.4540	+	12.4493i	0.514300	+	0.558992i
$497$	2.39283	+	4.14450i	0.107333	+	0.185906i
$498$	−4.80940	−	5.34138i	−0.215515	−	0.239353i
$499$	32.0381	−	10.4098i	1.43422	−	0.466007i	0.514130	−	0.857712i	$-0.328115\pi$
$499$	32.0381	−	10.4098i	1.43422	−	0.466007i	0.920091	+	0.391705i	$0.128115\pi$
$500$	−11.2634	−	25.2980i	−0.503715	−	1.13136i
$501$	0.497053	+	0.286973i	0.0222067	+	0.0128210i
$502$		−	4.94015i		−	0.220490i
$503$	−18.1066	+	8.06156i	−0.807331	+	0.359447i	−0.768541	−	0.639800i	$-0.779017\pi$
$503$	−18.1066	+	8.06156i	−0.807331	+	0.359447i	−0.0387902	+	0.999247i	$0.512350\pi$
$504$	10.7599	+	4.79060i	0.479282	+	0.213390i
$505$	3.95793	−	8.88965i	0.176125	−	0.395584i
$506$	16.8093	−	51.7338i	0.747265	−	2.29985i
$507$	−1.43616	+	3.22816i	−0.0637821	+	0.143368i
$508$	−12.5848	+	38.7320i	−0.558360	+	1.71846i
$509$	−13.9647	−	12.5739i	−0.618976	−	0.557329i	0.298855	−	0.954298i	$-0.403395\pi$
$509$	−13.9647	−	12.5739i	−0.618976	−	0.557329i	−0.917832	+	0.396970i	$0.870062\pi$
$510$	−5.38681	−	2.39836i	−0.238532	−	0.106201i
$511$	−8.80952	−	1.87252i	−0.389710	−	0.0828354i
$512$	30.0323	−	9.75807i	1.32725	−	0.431250i
$513$	4.44526	−	0.467216i	0.196263	−	0.0206281i
$514$	−10.6986	+	50.3327i	−0.471893	+	2.22008i
$515$	27.9984	+	9.09723i	1.23376	+	0.400872i
$516$	1.76892	−	0.787576i	0.0778726	−	0.0346711i
$517$	−2.05309	+	0.436397i	−0.0902946	+	0.0191927i
$518$	−0.910294	+	2.04455i	−0.0399960	+	0.0898325i
$519$	−1.15204	+	0.837008i	−0.0505691	+	0.0367406i
$520$	−30.6120	−	30.6032i	−1.34243	−	1.34204i
$521$	−4.66220			−0.204255			−0.102127	−	0.994771i	$-0.532565\pi$
$521$	−4.66220			−0.204255			−0.102127	+	0.994771i	$0.532565\pi$
$522$	−33.0193	+	19.0637i	−1.44522	+	0.834397i
$523$	−2.90087	+	27.5999i	−0.126846	+	1.20686i	0.727113	+	0.686518i	$0.240862\pi$
$523$	−2.90087	+	27.5999i	−0.126846	+	1.20686i	−0.853959	+	0.520341i	$0.825805\pi$
$524$	80.2581	+	17.0594i	3.50609	+	0.745243i
$525$	0.547712	+	0.177962i	0.0239041	+	0.00776691i
$526$	−53.7539	−	31.0349i	−2.34378	−	1.35318i
$527$	18.4647	−	0.198389i	0.804333	−	0.00864194i
$528$		−	2.77225i		−	0.120647i
$529$	14.7162	+	16.3440i	0.639834	+	0.710607i
$530$	−59.3411	+	65.9049i	−2.57761	+	2.86273i
$531$	−33.5261	−	3.52374i	−1.45491	−	0.152917i
$532$	9.66372			0.418975
$533$	1.68667	−	0.647730i	0.0730578	−	0.0280563i
$534$	−0.892428	−	0.648387i	−0.0386191	−	0.0280584i
$535$	4.08882	−	9.18365i	0.176775	−	0.397044i
$536$	42.9177	+	19.1082i	1.85376	+	0.825348i
$537$	−3.04400	−	3.38071i	−0.131358	−	0.145888i
$538$	4.70670	−	6.47821i	0.202920	−	0.279296i
$539$	15.4070	−	13.8726i	0.663628	−	0.597534i
$540$	3.47798	−	16.3626i	0.149668	−	0.704134i
$541$	0.00523310	+	0.00720274i	0.000224989	+	0.000309670i	0.809129	−	0.587630i	$-0.199939\pi$
$541$	0.00523310	+	0.00720274i	0.000224989	+	0.000309670i	−0.808904	+	0.587940i	$0.799939\pi$
$542$	−65.1256	−	13.8429i	−2.79738	−	0.594602i
$543$	1.45241	−	1.61307i	0.0623290	−	0.0692233i
$544$	2.05955	−	4.62582i	0.0883025	−	0.198331i
$545$	5.77845	+	17.7843i	0.247522	+	0.761794i
$546$	−2.14634	+	0.112794i	−0.0918549	+	0.00482713i
$547$	27.5565	+	20.0210i	1.17823	+	0.856034i	0.991971	−	0.126466i	$-0.0403635\pi$
$547$	27.5565	+	20.0210i	1.17823	+	0.856034i	0.186259	+	0.982501i	$0.440364\pi$
$548$	−13.2483	−	62.3285i	−0.565940	−	2.66254i
$549$	14.7313	+	6.55881i	0.628718	+	0.279923i
$550$	1.97823	+	18.8216i	0.0843522	+	0.802557i
$551$	−8.79872	+	12.1104i	−0.374838	+	0.515920i
$552$	6.99907	+	4.04092i	0.297900	+	0.171993i
$553$	3.73167	+	2.15448i	0.158687	+	0.0916178i
$554$	−3.86272	+	5.31658i	−0.164111	+	0.225880i
$555$	0.734619	+	0.156148i	0.0311828	+	0.00662811i
$556$	69.7546	−	14.8268i	2.95825	−	0.628796i
$557$	16.7878	−	9.69247i	0.711324	−	0.410683i	−0.100227	−	0.994965i	$-0.531957\pi$
$557$	16.7878	−	9.69247i	0.711324	−	0.410683i	0.811551	+	0.584282i	$0.198624\pi$
$558$	8.59552	+	38.4051i	0.363878	+	1.62582i
$559$	4.21436	−	5.20582i	0.178248	−	0.220183i
$560$	2.30863	−	7.10524i	0.0975575	−	0.300251i
$561$	−2.24881	−	2.02484i	−0.0949448	−	0.0854887i
$562$	5.82445	−	55.4159i	0.245689	−	2.33758i
$563$	−9.50376	+	16.4610i	−0.400536	+	0.693748i	−0.993791	−	0.111267i	$-0.964509\pi$
$563$	−9.50376	+	16.4610i	−0.400536	+	0.693748i	0.593255	+	0.805015i	$0.297843\pi$
$564$		−	0.651703i		−	0.0274417i
$565$	17.5087	+	39.3252i	0.736597	+	1.65442i
$566$	62.5629	−	6.57562i	2.62971	−	0.276394i
$567$	4.45133	+	6.12673i	0.186938	+	0.257299i
$568$	−15.6348	−	17.3642i	−0.656022	−	0.728586i
$569$	3.96484	−	37.7230i	0.166215	−	1.58143i	−0.520087	−	0.854113i	$-0.674101\pi$
$569$	3.96484	−	37.7230i	0.166215	−	1.58143i	0.686302	−	0.727316i	$-0.259233\pi$
$570$	−1.02584	−	4.82620i	−0.0429678	−	0.202147i
$571$	−3.20840	−	9.87445i	−0.134268	−	0.413233i	0.861208	−	0.508253i	$-0.169709\pi$
$571$	−3.20840	−	9.87445i	−0.134268	−	0.413233i	−0.995475	+	0.0950200i	$0.969709\pi$
$572$	−21.0812	−	41.3596i	−0.881451	−	1.72933i
$573$	0.572148	+	1.76089i	0.0239018	+	0.0735622i
$574$	0.816777	+	0.735429i	0.0340916	+	0.0306962i
$575$	−14.3005	−	6.36698i	−0.596371	−	0.265521i
$576$	27.9487	+	5.94068i	1.16453	+	0.247529i
$577$	4.23404	+	1.37572i	0.176265	+	0.0572721i	0.395820	−	0.918328i	$-0.370460\pi$
$577$	4.23404	+	1.37572i	0.176265	+	0.0572721i	−0.219555	+	0.975600i	$0.570460\pi$
$578$	−5.89566	−	13.2419i	−0.245227	−	0.550789i
$579$	2.98417	−	2.68696i	0.124018	−	0.111666i
$580$	32.9295	+	45.3235i	1.36732	+	1.88196i
$581$	−1.03904	−	9.88580i	−0.0431066	−	0.410132i
$582$	0.277037	−	2.63583i	0.0114836	−	0.109259i
$583$	−39.4142	+	22.7558i	−1.63237	+	0.942449i
$584$	43.9732			1.81962
$585$	−7.39872	−	27.5965i	−0.305899	−	1.14098i
$586$	−10.2549	−	31.5612i	−0.423624	−	1.30378i
$587$	1.14545	+	5.38892i	0.0472778	+	0.222425i	0.995444	−	0.0953511i	$-0.0303974\pi$
$587$	1.14545	+	5.38892i	0.0472778	+	0.222425i	−0.948166	+	0.317776i	$0.897064\pi$
$588$	3.21857	+	5.57473i	0.132732	+	0.229898i
$589$	9.21584	+	12.4021i	0.379732	+	0.511019i
$590$			75.3642i			3.10270i
$591$	0.384142	−	0.345883i	0.0158015	−	0.0142277i
$592$	0.644595	−	3.03258i	0.0264927	−	0.124638i
$593$	16.3095	−	22.4481i	0.669751	−	0.921833i	−0.330004	−	0.943979i	$-0.607050\pi$
$593$	16.3095	−	22.4481i	0.669751	−	0.921833i	0.999755	+	0.0221469i	$0.00705016\pi$
$594$	6.53075	−	11.3116i	0.267960	−	0.464120i
$595$	−4.07745	−	7.06235i	−0.167159	−	0.289528i
$596$	50.5507	+	5.31309i	2.07064	+	0.217633i
$597$	0.0335967	−	0.0244094i	0.00137502	−	0.000999011i
$598$	58.3418	+	3.04916i	2.38577	+	0.124690i
$599$	−13.9320	+	42.8782i	−0.569244	+	1.75195i	0.0857462	+	0.996317i	$0.472673\pi$
$599$	−13.9320	+	42.8782i	−0.569244	+	1.75195i	−0.654991	+	0.755637i	$0.727327\pi$
$600$	−2.79640	−	0.293914i	−0.114163	−	0.0119990i
$601$	5.90812	−	1.25581i	0.240997	−	0.0512256i	−0.0858294	−	0.996310i	$-0.527354\pi$
$601$	5.90812	−	1.25581i	0.240997	−	0.0512256i	0.326827	+	0.945084i	$0.394021\pi$
$602$	3.98537	+	0.847116i	0.162431	+	0.0345259i
$603$	18.2267	+	25.0869i	0.742248	+	1.02162i
$604$	−2.29440	+	10.7943i	−0.0933578	+	0.439214i
$605$	−0.152181	+	0.715955i	−0.00618704	+	0.0291077i
$606$	1.38665	+	1.90855i	0.0563286	+	0.0775297i
$607$	−8.91795	−	1.89557i	−0.361968	−	0.0769388i	0.0233375	−	0.999728i	$-0.492571\pi$
$607$	−8.91795	−	1.89557i	−0.361968	−	0.0769388i	−0.385306	+	0.922789i	$0.625904\pi$
$608$	4.14441	−	0.880922i	0.168078	−	0.0357261i
$609$	1.32382	+	0.139139i	0.0536438	+	0.00563819i
$610$	11.1401	−	34.2858i	0.451050	−	1.38819i
$611$	−1.02371	−	2.00843i	−0.0414148	−	0.0812523i
$612$	−30.1110	+	21.8769i	−1.21716	+	0.884322i
$613$	−25.6780	−	2.69887i	−1.03712	−	0.109006i	−0.429368	−	0.903130i	$-0.641264\pi$
$613$	−25.6780	−	2.69887i	−1.03712	−	0.109006i	−0.607757	+	0.794123i	$0.707930\pi$
$614$	−29.7301	−	51.4940i	−1.19981	−	2.07813i
$615$	0.184412	−	0.319411i	0.00743621	−	0.0128799i
$616$	7.94271	−	10.9322i	0.320021	−	0.440471i
$617$	2.17828	−	10.2480i	0.0876941	−	0.412568i	−0.912301	−	0.409520i	$-0.865696\pi$
$617$	2.17828	−	10.2480i	0.0876941	−	0.412568i	0.999995	−	0.00304855i	$-0.000970385\pi$
$618$	−5.30387	+	4.77562i	−0.213353	+	0.192104i
$619$		−	25.5704i		−	1.02776i	−0.857862	−	0.513881i	$-0.828207\pi$
$619$		−	25.5704i		−	1.02776i	0.857862	−	0.513881i	$-0.171793\pi$
$620$	54.8016	−	18.4594i	2.20089	−	0.741346i
$621$	5.40182	+	9.35623i	0.216768	+	0.375452i
$622$	−3.57361	−	16.8125i	−0.143289	−	0.674119i
$623$	−0.471428	−	1.45090i	−0.0188873	−	0.0581293i
$624$	2.87584	−	0.771020i	0.115126	−	0.0308655i
$625$	−31.2223			−1.24889
$626$	−59.1558	+	34.1536i	−2.36434	+	1.36505i
$627$	0.264675	−	2.51822i	0.0105701	−	0.100568i
$628$	6.88713	+	65.5266i	0.274826	+	2.61480i
$629$	−1.98918	−	2.73787i	−0.0793136	−	0.109166i
$630$	12.9160	−	11.6296i	0.514587	−	0.463336i
$631$	6.18540	+	13.8926i	0.246237	+	0.553057i	0.993806	−	0.111127i	$-0.0354459\pi$
$631$	6.18540	+	13.8926i	0.246237	+	0.553057i	−0.747569	+	0.664184i	$0.768779\pi$
$632$	−20.0087	−	6.50121i	−0.795903	−	0.258604i
$633$	0.623937	+	0.132622i	0.0247993	+	0.00527125i
$634$	55.6811	+	24.7908i	2.21138	+	0.984569i
$635$	21.3703	+	19.2419i	0.848056	+	0.763593i
$636$	−4.36668	−	13.4393i	−0.173150	−	0.532901i
$637$	18.6759	+	12.1245i	0.739967	+	0.480389i
$638$	13.5174	+	41.6023i	0.535160	+	1.64705i
$639$	−3.20659	−	15.0858i	−0.126851	−	0.596786i
$640$	5.81273	−	55.3044i	0.229768	−	2.18610i
$641$	−22.0939	−	24.5377i	−0.872656	−	0.969183i	0.127086	−	0.991892i	$-0.459438\pi$
$641$	−22.0939	−	24.5377i	−0.872656	−	0.969183i	−0.999742	+	0.0227089i	$0.992771\pi$
$642$	1.43250	+	1.97167i	0.0565365	+	0.0778157i
$643$	−23.2766	+	2.44647i	−0.917941	+	0.0964795i	−0.551702	−	0.834041i	$-0.686021\pi$
$643$	−23.2766	+	2.44647i	−0.917941	+	0.0964795i	−0.366239	+	0.930521i	$0.619355\pi$
$644$	9.50047	+	21.3384i	0.374371	+	0.840851i
$645$		−	1.36727i		−	0.0538361i
$646$	−11.1165	+	19.2543i	−0.437373	+	0.757552i
$647$	−1.41394	+	13.4527i	−0.0555877	+	0.528881i	0.930927	+	0.365206i	$0.119002\pi$
$647$	−1.41394	+	13.4527i	−0.0555877	+	0.528881i	−0.986514	+	0.163675i	$0.947665\pi$
$648$	−27.4780	−	24.7413i	−1.07944	−	0.971929i
$649$	−11.9516	+	36.7832i	−0.469140	+	1.44387i
$650$	−18.9747	+	7.28683i	−0.744249	+	0.285813i
$651$	0.545328	−	1.26112i	0.0213731	−	0.0494272i
$652$	26.2245	−	15.1408i	1.02703	−	0.592958i
$653$	−35.2442	+	7.49138i	−1.37921	+	0.293160i	−0.837056	−	0.547118i	$-0.815725\pi$
$653$	−35.2442	+	7.49138i	−1.37921	+	0.293160i	−0.542156	+	0.840278i	$0.682392\pi$
$654$	−4.43431	−	0.942542i	−0.173395	−	0.0368563i
$655$	34.0547	−	46.8723i	1.33063	−	1.83145i
$656$	−1.31856	−	0.761271i	−0.0514812	−	0.0297227i
$657$	25.1363	+	14.5124i	0.980660	+	0.566184i
$658$	0.806034	−	1.10941i	0.0314225	−	0.0432493i
$659$	3.01945	+	28.7282i	0.117621	+	1.11909i	0.880993	+	0.473130i	$0.156876\pi$
$659$	3.01945	+	28.7282i	0.117621	+	1.11909i	−0.763371	+	0.645960i	$0.776457\pi$
$660$	−8.65713	−	3.85440i	−0.336978	−	0.150032i
$661$	1.57949	+	7.43091i	0.0614350	+	0.289029i	0.998131	−	0.0611155i	$-0.0194658\pi$
$661$	1.57949	+	7.43091i	0.0614350	+	0.289029i	−0.936696	+	0.350145i	$0.886132\pi$
$662$	28.4245	+	20.6516i	1.10475	+	0.802647i
$663$	1.47505	−	2.89598i	0.0572863	−	0.112471i
$664$	14.9975	+	46.1576i	0.582017	+	1.79126i
$665$	2.77544	−	6.23374i	0.107627	−	0.241734i
$666$	4.82616	−	5.36000i	0.187010	−	0.207696i
$667$	−35.3910	−	7.52259i	−1.37034	−	0.291276i
$668$	−4.76049	−	6.55226i	−0.184189	−	0.253514i
$669$	−0.574052	+	2.70070i	−0.0221941	+	0.104415i
$670$	51.5179	−	46.3869i	1.99031	−	1.79208i
$671$	10.8744	−	14.9673i	0.419800	−	0.577805i
$672$	−0.252105	−	0.279992i	−0.00972518	−	0.0108009i
$673$	−24.5970	−	10.9513i	−0.948143	−	0.422141i	−0.126388	−	0.991981i	$-0.540338\pi$
$673$	−24.5970	−	10.9513i	−0.948143	−	0.422141i	−0.821756	+	0.569840i	$0.807005\pi$
$674$	7.40828	−	16.6393i	0.285356	−	0.640921i
$675$	−3.04091	−	2.20935i	−0.117045	−	0.0850379i
$676$	37.0418	−	33.3719i	1.42469	−	1.28353i
$677$	−3.80935			−0.146405			−0.0732027	−	0.997317i	$-0.523322\pi$
$677$	−3.80935			−0.146405			−0.0732027	+	0.997317i	$0.523322\pi$
$678$	−10.3788	−	1.09086i	−0.398596	−	0.0418941i
$679$	2.45262	−	2.72392i	0.0941231	−	0.104534i
$680$	26.6422	+	29.5891i	1.02168	+	1.13469i
$681$		−	2.04738i		−	0.0784559i
$682$	45.1493	−	0.485095i	1.72886	−	0.0185752i
$683$	−3.15330	−	1.82056i	−0.120658	−	0.0696618i	0.438456	−	0.898752i	$-0.355525\pi$
$683$	−3.15330	−	1.82056i	−0.120658	−	0.0696618i	−0.559114	+	0.829091i	$0.688859\pi$
$684$	−29.6192	−	9.62386i	−1.13252	−	0.367977i
$685$	−44.0109	−	9.35481i	−1.68157	−	0.357429i
$686$	−3.02067	+	28.7398i	−0.115330	+	1.09729i
$687$	−6.08469	+	3.51300i	−0.232145	+	0.134029i
$688$	−5.64422			−0.215184
$689$	−34.5679	−	34.5580i	−1.31693	−	1.31656i
$690$	9.64820	−	7.00983i	0.367301	−	0.266860i
$691$	11.2307	−	25.2246i	0.427236	−	0.959589i	−0.563790	−	0.825918i	$-0.690657\pi$
$691$	11.2307	−	25.2246i	0.427236	−	0.959589i	0.991026	−	0.133670i	$-0.0426762\pi$
$692$	19.6552	−	4.17784i	0.747178	−	0.158818i
$693$	8.14822	−	3.62782i	0.309525	−	0.137810i
$694$	32.0244	+	10.4054i	1.21563	+	0.394982i
$695$	10.4694	−	49.2546i	0.397127	−	1.86833i
$696$	−6.46350	+	0.679342i	−0.244998	+	0.0257504i
$697$	−1.58060	+	0.513569i	−0.0598695	+	0.0194528i
$698$	65.4379	+	13.9092i	2.47686	+	0.526473i
$699$	−3.71176	−	1.65258i	−0.140392	−	0.0625065i
$700$	−6.03922	−	5.43773i	−0.228261	−	0.205527i
$701$	−7.54579	+	23.2235i	−0.285000	+	0.877141i	0.701398	+	0.712770i	$0.252560\pi$
$701$	−7.54579	+	23.2235i	−0.285000	+	0.877141i	−0.986399	+	0.164371i	$0.947440\pi$
$702$	13.5506	+	3.62878i	0.511434	+	0.136960i
$703$	0.875057	−	2.69315i	0.0330034	−	0.101574i
$704$	13.3335	−	29.9475i	0.502525	−	1.12869i
$705$	−0.420392	−	0.187170i	−0.0158329	−	0.00704925i
$706$	−60.8100	+	27.0744i	−2.28861	+	1.01896i
$707$			3.26260i			0.122703i
$708$	−10.3997	−	6.00426i	−0.390844	−	0.225654i
$709$	−4.52914	−	10.1726i	−0.170095	−	0.382040i	0.808304	−	0.588766i	$-0.200386\pi$
$709$	−4.52914	−	10.1726i	−0.170095	−	0.382040i	−0.978399	+	0.206725i	$0.933719\pi$
$710$	−32.7919	+	10.6547i	−1.23066	+	0.399865i
$711$	−9.29193	−	10.3197i	−0.348475	−	0.387020i
$712$	3.72428	+	6.45064i	0.139573	+	0.241748i
$713$	−18.3248	+	32.5420i	−0.686270	+	1.21871i
$714$	1.97702			0.0739881
$715$	−32.7342	+	1.72024i	−1.22419	+	0.0643334i
$716$	19.8371	+	61.0523i	0.741347	+	2.28163i
$717$	2.58831	+	0.272042i	0.0966622	+	0.0101596i
$718$	−37.7861	−	65.4474i	−1.41016	−	2.44247i
$719$	−4.14378	+	7.17723i	−0.154537	+	0.267666i	−0.932890	−	0.360161i	$-0.882722\pi$
$719$	−4.14378	+	7.17723i	−0.154537	+	0.267666i	0.778353	+	0.627826i	$0.216055\pi$
$720$	−14.1519	+	19.4784i	−0.527409	+	0.725916i
$721$	−9.81636	+	1.03174i	−0.365580	+	0.0384240i
$722$	27.1436	−	2.85290i	1.01018	−	0.106174i
$723$	−4.63281	−	1.50529i	−0.172296	−	0.0559824i
$724$	−27.9815	+	12.4582i	−1.03992	+	0.463004i
$725$	12.3131	−	2.61723i	0.457298	−	0.0972017i
$726$	−0.131870	−	0.118737i	−0.00489417	−	0.00440673i
$727$	−3.34139	+	2.42766i	−0.123925	+	0.0900370i	−0.648021	−	0.761622i	$-0.724403\pi$
$727$	−3.34139	+	2.42766i	−0.123925	+	0.0900370i	0.524096	+	0.851659i	$0.324403\pi$
$728$	13.5497	+	5.19901i	0.502186	+	0.192688i
$729$	−7.13601	−	21.9624i	−0.264297	−	0.813421i
$730$	26.3924	−	59.2784i	0.976828	−	2.19399i
$731$	−4.12250	+	4.57850i	−0.152476	+	0.169342i
$732$	3.84364	+	4.26880i	0.142065	+	0.157779i
$733$	−14.3344	+	19.7297i	−0.529455	+	0.728732i	−0.987047	−	0.160430i	$-0.948712\pi$
$733$	−14.3344	+	19.7297i	−0.529455	+	0.728732i	0.457593	+	0.889162i	$0.348712\pi$
$734$	5.14460	−	4.63222i	0.189891	−	0.170978i
$735$	4.52045	−	0.475118i	0.166739	−	0.0175250i
$736$	6.01956	+	8.28521i	0.221884	+	0.305397i
$737$	32.5007	−	14.4702i	1.19718	−	0.533018i
$738$	−1.77102	−	3.06749i	−0.0651920	−	0.112916i
$739$	−7.07114	+	4.08252i	−0.260116	+	0.150178i	−0.624387	−	0.781115i	$-0.714651\pi$
$739$	−7.07114	+	4.08252i	−0.260116	+	0.150178i	0.364272	+	0.931293i	$0.381318\pi$
$740$	−8.57387	−	6.22928i	−0.315182	−	0.228993i
$741$	2.68592	−	0.425803i	0.0986697	−	0.0156423i
$742$	9.18832	−	28.2787i	0.337314	−	1.03815i
$743$	−7.23496	+	4.17711i	−0.265425	+	0.153243i	−0.626807	−	0.779175i	$-0.715638\pi$
$743$	−7.23496	+	4.17711i	−0.265425	+	0.153243i	0.361382	+	0.932418i	$0.382305\pi$
$744$	−1.32418	+	6.57640i	−0.0485466	+	0.241103i
$745$	17.9456	−	31.0826i	0.657474	−	1.13878i
$746$	8.44549	+	2.74411i	0.309211	+	0.100469i
$747$	−6.66038	+	31.3346i	−0.243690	+	1.14647i
$748$	17.3682	+	39.0096i	0.635043	+	1.42633i
$749$			3.37050i			0.123155i
$750$	2.37024	−	4.10538i	0.0865490	−	0.149907i
$751$	−0.188979	+	1.79801i	−0.00689593	+	0.0656104i	−0.997429	−	0.0716664i	$-0.977168\pi$
$751$	−0.188979	+	1.79801i	−0.00689593	+	0.0656104i	0.990533	+	0.137277i	$0.0438350\pi$
$752$	−0.772659	+	1.73542i	−0.0281760	+	0.0632842i
$753$	0.449672	−	0.326706i	0.0163870	−	0.0119058i
$754$	−39.3973	+	25.5929i	−1.43476	+	0.932040i
$755$	6.30408	+	4.58018i	0.229429	+	0.166690i
$756$	1.16610	+	5.48607i	0.0424107	+	0.199527i
$757$	−26.1419	+	29.0335i	−0.950143	+	1.05524i	0.0482651	+	0.998835i	$0.484631\pi$
$757$	−26.1419	+	29.0335i	−0.950143	+	1.05524i	−0.998408	+	0.0564059i	$0.982036\pi$
$758$	−8.87974	−	84.4851i	−0.322527	−	3.06864i
$759$	5.82066	−	1.89125i	0.211277	−	0.0686480i
$760$	−6.92687	+	32.5884i	−0.251264	+	1.18210i
$761$	−45.2600	+	4.75702i	−1.64067	+	0.172442i	−0.879431	−	0.476026i	$-0.842077\pi$
$761$	−45.2600	+	4.75702i	−1.64067	+	0.172442i	−0.761242	+	0.648468i	$0.775410\pi$
$762$	−6.63035	+	2.15433i	−0.240192	+	0.0780432i
$763$	−4.19517	−	4.65921i	−0.151875	−	0.168675i
$764$	2.73100	−	25.9837i	0.0988041	−	0.940059i
$765$	5.46412	+	25.7067i	0.197556	+	0.929427i
$766$	−6.78609	+	4.93038i	−0.245191	+	0.178142i
$767$	−41.4815	−	2.16798i	−1.49781	−	0.0782813i
$768$	6.61260	+	4.80434i	0.238612	+	0.173362i
$769$	−25.3246	+	14.6212i	−0.913230	+	0.527254i	−0.881469	−	0.472242i	$-0.843445\pi$
$769$	−25.3246	+	14.6212i	−0.913230	+	0.527254i	−0.0317610	+	0.999495i	$0.510112\pi$
$770$	−9.97008	−	17.2687i	−0.359297	−	0.622320i
$771$	−5.28902	+	2.35482i	−0.190479	+	0.0848068i
$772$	−53.8912	+	17.5103i	−1.93959	+	0.630210i
$773$	−31.0092	+	27.9208i	−1.11532	+	1.00424i	−0.115384	+	0.993321i	$0.536810\pi$
$773$	−31.0092	+	27.9208i	−1.11532	+	1.00424i	−0.999940	+	0.0109215i	$0.996523\pi$
$774$	−11.3715	−	6.56533i	−0.408740	−	0.235986i
$775$	1.21929	−	12.9362i	0.0437981	−	0.464683i
$776$	−8.94808	+	15.4985i	−0.321218	+	0.556365i
$777$	−0.246304	+	0.0523535i	−0.00883610	+	0.00187817i
$778$	−15.1371	−	13.6295i	−0.542692	−	0.488642i
$779$	−1.12505	−	0.817399i	−0.0403092	−	0.0292864i
$780$	1.59069	−	10.0526i	0.0569560	−	0.359940i
$781$	−17.6945			−0.633158
$782$	−53.4441	−	5.61720i	−1.91116	−	0.200871i
$783$	−7.93677	−	3.53368i	−0.283637	−	0.126283i
$784$	−1.96134	−	18.6609i	−0.0700477	−	0.666460i
$785$	44.2470	+	14.3767i	1.57924	+	0.513127i
$786$	5.71300	+	12.8316i	0.203776	+	0.457688i
$787$	23.6169	−	21.2648i	0.841853	−	0.758008i	−0.130519	−	0.991446i	$-0.541664\pi$
$787$	23.6169	−	21.2648i	0.841853	−	0.758008i	0.972372	+	0.233438i	$0.0749976\pi$
$788$	−6.93723	+	2.25404i	−0.247129	+	0.0802969i
$789$	−0.729983	−	6.94533i	−0.0259881	−	0.247260i
$790$	−20.7731	+	23.0709i	−0.739074	+	0.820825i
$791$	−10.7256	−	9.65742i	−0.381360	−	0.343378i
$792$	−35.2314	+	25.5971i	−1.25189	+	0.909555i
$793$	18.5509	+	7.11797i	0.658762	+	0.252766i
$794$	14.3554	−	44.1815i	0.509455	−	1.56794i
$795$	−9.92333	−	1.04298i	−0.351944	−	0.0369908i
$796$	−0.573198	+	0.121837i	−0.0203165	+	0.00431840i
$797$	−0.246978	−	2.34984i	−0.00874840	−	0.0832355i	0.989277	−	0.146055i	$-0.0466575\pi$
$797$	−0.246978	−	2.34984i	−0.00874840	−	0.0832355i	−0.998025	+	0.0628192i	$0.979991\pi$
$798$	0.972365	+	1.33835i	0.0344213	+	0.0473769i
$799$	0.843401	+	1.89431i	0.0298374	+	0.0670159i
$800$	−3.08569	−	1.78152i	−0.109096	−	0.0629864i
$801$			4.91649i			0.173716i
$802$	−18.1093	+	8.06278i	−0.639462	+	0.284707i
$803$	22.2820	−	24.7467i	0.786316	−	0.873292i
$804$	2.29662	+	10.8047i	0.0809954	+	0.381053i
$805$	16.4932			0.581310
$806$	13.0602	+	46.7014i	0.460025	+	1.64499i
$807$	0.900940			0.0317146
$808$	−3.31194	−	15.5815i	−0.116514	−	0.548154i
$809$	2.12568	−	2.36080i	0.0747349	−	0.0830015i	−0.704618	−	0.709587i	$-0.748881\pi$
$809$	2.12568	−	2.36080i	0.0747349	−	0.0830015i	0.779353	+	0.626586i	$0.215548\pi$
$810$	−49.8448	+	22.1923i	−1.75137	+	0.779759i
$811$		−	12.3482i		−	0.433603i	−0.976216	−	0.216801i	$-0.930438\pi$
$811$		−	12.3482i		−	0.433603i	0.976216	−	0.216801i	$-0.0695624\pi$
$812$	−16.2669	−	9.39172i	−0.570858	−	0.329585i
$813$	−3.04691	−	6.84347i	−0.106860	−	0.240011i
$814$	−4.86388	−	6.69456i	−0.170479	−	0.234644i
$815$	−2.23504	−	21.2650i	−0.0782902	−	0.744881i
$816$	−2.67889	+	0.569416i	−0.0937800	+	0.0199335i
$817$	−5.12701	−	0.538870i	−0.179371	−	0.0188527i
$818$	−22.2667	+	68.5300i	−0.778538	+	2.39609i
$819$	6.02956	+	7.44370i	0.210690	+	0.260104i
$820$	−4.21054	+	3.05914i	−0.147039	+	0.106830i
$821$	20.4629	+	18.4249i	0.714162	+	0.643034i	0.943905	−	0.330217i	$-0.107122\pi$
$821$	20.4629	+	18.4249i	0.714162	+	0.643034i	−0.229743	+	0.973251i	$0.573789\pi$
$822$	7.29893	−	8.10628i	0.254579	−	0.282739i
$823$	−0.603096	−	5.73808i	−0.0210226	−	0.200017i	0.978969	−	0.204007i	$-0.0653965\pi$
$823$	−0.603096	−	5.73808i	−0.0210226	−	0.200017i	−0.999992	+	0.00399020i	$0.998730\pi$
$824$	45.8334	−	14.8922i	1.59668	−	0.518794i
$825$	−1.58240	+	1.42480i	−0.0550919	+	0.0496050i
$826$	−10.2775	−	23.0837i	−0.357600	−	0.803183i
$827$	23.3328	+	7.58129i	0.811361	+	0.263627i	0.685174	−	0.728379i	$-0.259726\pi$
$827$	23.3328	+	7.58129i	0.811361	+	0.263627i	0.126187	+	0.992006i	$0.459726\pi$
$828$	−7.86845	−	74.8633i	−0.273447	−	2.60168i
$829$	23.5299	+	10.4762i	0.817227	+	0.363853i	0.772396	−	0.635142i	$-0.219058\pi$
$829$	23.5299	+	10.4762i	0.817227	+	0.363853i	0.0448314	+	0.998995i	$0.485725\pi$
$830$	71.2246	+	7.48601i	2.47224	+	0.259843i
$831$	−0.739389			−0.0256491
$832$	34.7748	+	5.50267i	1.20560	+	0.190771i
$833$	−16.5700	−	12.0388i	−0.574115	−	0.417119i
$834$	9.07211	+	8.16856i	0.314141	+	0.282854i
$835$	−5.59386	+	1.18901i	−0.193584	+	0.0411474i
$836$	−17.8653	+	30.9436i	−0.617884	+	1.07021i
$837$	−5.92858	+	6.72835i	−0.204922	+	0.232566i
$838$	−33.7620	−	19.4925i	−1.16629	−	0.673357i
$839$	−29.3942	+	26.4666i	−1.01480	+	0.913730i	−0.996287	−	0.0860990i	$-0.972560\pi$
$839$	−29.3942	+	26.4666i	−1.01480	+	0.913730i	−0.0185129	+	0.999829i	$0.505893\pi$
$840$	2.81759	−	0.915489i	0.0972160	−	0.0315874i
$841$	0.0876156	−	0.0390090i	0.00302123	−	0.00134514i
$842$	−35.7932	−	61.9956i	−1.23352	−	2.13651i
$843$	5.42937	−	3.13465i	0.186997	−	0.107963i
$844$	−7.28209	−	5.29075i	−0.250660	−	0.182115i
$845$	−10.8886	−	33.4789i	−0.374579	−	1.15171i
$846$	−3.57532	+	2.59762i	−0.122922	+	0.0893081i
$847$	−0.0510234	−	0.240046i	−0.00175319	−	0.00824809i
$848$	−4.30554	+	40.9645i	−0.147853	+	1.40673i
$849$	4.73600	+	5.25986i	0.162539	+	0.180518i
$850$	17.7815	−	5.77755i	0.609899	−	0.198168i
$851$	6.80700	−	0.715445i	0.233341	−	0.0245251i
$852$	1.14226	−	5.37389i	0.0391331	−	0.184107i
$853$	−15.6038	+	5.07000i	−0.534265	+	0.173593i	−0.563710	−	0.825973i	$-0.690626\pi$
$853$	−15.6038	+	5.07000i	−0.534265	+	0.173593i	0.0294442	+	0.999566i	$0.490626\pi$
$854$	1.26343	+	12.0207i	0.0432337	+	0.411341i
$855$	−14.7147	+	16.3423i	−0.503233	+	0.558896i
$856$	−3.42147	−	16.0968i	−0.116944	−	0.550176i
$857$	−39.1479	−	28.4426i	−1.33727	−	0.971580i	−0.999540	−	0.0303355i	$-0.990342\pi$
$857$	−39.1479	−	28.4426i	−1.33727	−	0.971580i	−0.337726	−	0.941245i	$-0.609658\pi$
$858$	3.60676	−	7.08119i	0.123133	−	0.241748i
$859$	−2.14467	+	1.55819i	−0.0731751	+	0.0531648i	−0.623771	−	0.781607i	$-0.714400\pi$
$859$	−2.14467	+	1.55819i	−0.0731751	+	0.0531648i	0.550596	+	0.834772i	$0.314400\pi$
$860$	−7.84744	+	17.6256i	−0.267596	+	0.601029i
$861$	−0.0129260	+	0.122982i	−0.000440516	+	0.00419123i
$862$	29.0657	−	50.3433i	0.989983	−	1.71470i
$863$		−	34.5021i		−	1.17446i	−0.809418	−	0.587232i	$-0.800217\pi$
$863$		−	34.5021i		−	1.17446i	0.809418	−	0.587232i	$-0.199783\pi$
$864$	1.00020	+	2.24648i	0.0340273	+	0.0764266i
$865$	2.95002	−	13.8788i	0.100304	−	0.471892i
$866$	−67.1261	−	21.8106i	−2.28104	−	0.741154i
$867$	0.815432	−	1.41237i	0.0276935	−	0.0479666i
$868$	−14.2681	+	13.1274i	−0.484291	+	0.445572i
$869$	−13.7975	+	7.96596i	−0.468047	+	0.270227i
$870$	−2.96357	+	9.12092i	−0.100474	+	0.309228i
$871$	24.0500	+	29.6906i	0.814904	+	1.00603i
$872$	24.7649	+	17.9927i	0.838645	+	0.609311i
$873$	−10.2299	+	5.90626i	−0.346231	+	0.199897i
$874$	−22.4830	−	38.9418i	−0.760500	−	1.31723i
$875$	5.98922	−	2.66657i	0.202473	−	0.0901466i
$876$	6.07728	+	8.36466i	0.205332	+	0.282616i
$877$	54.2238	−	5.69915i	1.83101	−	0.192447i	0.874671	−	0.484717i	$-0.161077\pi$
$877$	54.2238	−	5.69915i	1.83101	−	0.192447i	0.956336	+	0.292271i	$0.0944108\pi$
$878$	12.0291	−	10.8311i	0.405964	−	0.365531i
$879$	2.19465	−	3.02067i	0.0740236	−	0.101885i
$880$	18.4833	+	20.5278i	0.623072	+	0.691991i
$881$	8.57599	−	9.52460i	0.288932	−	0.320892i	−0.581152	−	0.813795i	$-0.697398\pi$
$881$	8.57599	−	9.52460i	0.288932	−	0.320892i	0.870084	+	0.492903i	$0.164064\pi$
$882$	17.7547	−	39.8777i	0.597832	−	1.34275i
$883$	−10.9606	−	33.7334i	−0.368855	−	1.13522i	−0.947532	−	0.319662i	$-0.896431\pi$
$883$	−10.9606	−	33.7334i	−0.368855	−	1.13522i	0.578677	−	0.815557i	$-0.303569\pi$
$884$	−35.6367	+	28.8665i	−1.19859	+	0.970885i
$885$	−6.85996	+	4.98405i	−0.230595	+	0.167537i
$886$	−45.2142	−	40.7110i	−1.51900	−	1.36771i
$887$	5.30986	−	1.12864i	0.178288	−	0.0378962i	−0.117903	−	0.993025i	$-0.537617\pi$
$887$	5.30986	−	1.12864i	0.178288	−	0.0378962i	0.296190	+	0.955129i	$0.404284\pi$
$888$	1.12315	−	0.500058i	0.0376904	−	0.0167808i
$889$	−9.16966	−	2.97940i	−0.307541	−	0.0999260i
$890$	10.9311	−	1.14891i	0.366413	−	0.0385115i
$891$	−27.8472	+	2.92686i	−0.932917	+	0.0980535i
$892$	22.9009	−	31.5204i	0.766779	−	1.05538i
$893$	−0.867542	+	1.50263i	−0.0290312	+	0.0502835i
$894$	4.35060	+	7.53546i	0.145506	+	0.252023i
$895$	45.0800	+	4.73810i	1.50686	+	0.158377i
$896$	5.76152	+	17.7321i	0.192479	+	0.592389i
$897$	3.58076	+	5.51215i	0.119558	+	0.184045i
$898$	87.0603			2.90524
$899$	−3.46000	−	29.8329i	−0.115398	−	0.994983i
$900$	13.0948	+	22.6809i	0.436494	+	0.756030i
$901$	30.0851	+	33.4128i	1.00228	+	1.11314i
$902$	−3.86485	+	1.25576i	−0.128685	+	0.0418124i
$903$	0.186456	+	0.418787i	0.00620486	+	0.0139363i
$904$	61.0268	+	35.2338i	2.02972	+	1.17186i
$905$			21.6279i			0.718936i
$906$	−1.72578	+	0.768369i	−0.0573353	+	0.0255273i
$907$	33.2557	+	14.8064i	1.10424	+	0.491638i	0.876167	−	0.482007i	$-0.160092\pi$
$907$	33.2557	+	14.8064i	1.10424	+	0.491638i	0.228069	+	0.973645i	$0.426759\pi$
$908$	−11.7510	+	26.3931i	−0.389970	+	0.875887i
$909$	3.24914	−	9.99984i	0.107767	−	0.331674i
$910$	15.1410	−	15.1454i	0.501920	−	0.502065i
$911$	0.373886	−	1.15070i	0.0123874	−	0.0381244i	−0.944672	−	0.328017i	$-0.893620\pi$
$911$	0.373886	−	1.15070i	0.0123874	−	0.0381244i	0.957059	+	0.289893i	$0.0936196\pi$
$912$	−1.70304	−	1.53342i	−0.0563931	−	0.0507766i
$913$	33.5756	+	14.9488i	1.11119	+	0.494733i
$914$	−2.17645	−	0.462619i	−0.0719906	−	0.0153021i
$915$	3.85756	−	1.25340i	0.127527	−	0.0414360i
$916$	98.6016	−	10.3634i	3.25789	−	0.342418i
$917$	−4.03875	+	19.0008i	−0.133371	+	0.627463i
$918$	−12.2721	−	3.98743i	−0.405038	−	0.131605i
$919$	−54.2941	+	24.1733i	−1.79100	+	0.797403i	−0.815049	+	0.579392i	$0.803290\pi$
$919$	−54.2941	+	24.1733i	−1.79100	+	0.797403i	−0.975946	+	0.218011i	$0.930043\pi$
$920$	−78.7680	+	16.7427i	−2.59691	+	0.551989i
$921$	2.72106	−	6.11159i	0.0896619	−	0.201384i
$922$	−64.8906	+	47.1458i	−2.13706	+	1.55266i
$923$	−4.92120	−	18.3556i	−0.161983	−	0.604183i
$924$	3.17726			0.104524
$925$	−2.06228	+	1.19066i	−0.0678073	+	0.0391486i
$926$	−4.47631	+	42.5893i	−0.147101	+	1.39957i
$927$	31.1145	+	6.61360i	1.02194	+	0.217219i
$928$	−7.83242	−	2.54491i	−0.257112	−	0.0835407i
$929$	−43.9684	−	25.3852i	−1.44256	−	0.832861i	−0.444537	−	0.895760i	$-0.646632\pi$
$929$	−43.9684	−	25.3852i	−1.44256	−	0.832861i	−0.998020	+	0.0628996i	$0.979965\pi$
$930$	8.07062	+	5.73219i	0.264646	+	0.187966i
$931$		−	17.1381i		−	0.561680i
$932$	38.3639	+	42.6074i	1.25665	+	1.39565i
$933$	1.29401	−	1.43714i	0.0423639	−	0.0470499i
$934$	36.5454	+	3.84108i	1.19580	+	0.125684i
$935$	30.1519			0.986073
$936$	−36.3521	−	29.4287i	−1.18821	−	0.961908i
$937$	11.4099	+	8.28979i	0.372746	+	0.270816i	0.758349	−	0.651849i	$-0.226007\pi$
$937$	11.4099	+	8.28979i	0.372746	+	0.270816i	−0.385603	+	0.922665i	$0.626007\pi$
$938$	−9.45382	+	21.2336i	−0.308678	+	0.693303i
$939$	−7.02094	−	3.12592i	−0.229120	−	0.102011i
$940$	4.34507	+	4.82568i	0.141720	+	0.157396i
$941$	6.04779	−	8.32406i	0.197152	−	0.271357i	−0.698983	−	0.715139i	$-0.746364\pi$
$941$	6.04779	−	8.32406i	0.197152	−	0.271357i	0.896135	+	0.443782i	$0.146364\pi$
$942$	−8.38191	+	7.54711i	−0.273098	+	0.245898i
$943$	0.698847	−	3.28782i	0.0227576	−	0.107066i
$944$	20.5747	+	28.3186i	0.669648	+	0.921692i
$945$	3.87379	+	0.823398i	0.126014	+	0.0267852i
$946$	−10.0802	+	11.1952i	−0.327737	+	0.363989i
$947$	−0.526529	+	1.18260i	−0.0171099	+	0.0384294i	−0.921898	−	0.387432i	$-0.873362\pi$
$947$	−0.526529	+	1.18260i	−0.0171099	+	0.0384294i	0.904788	+	0.425861i	$0.140029\pi$
$948$	−1.52861	−	4.70459i	−0.0496471	−	0.152798i
$949$	31.8684	+	16.2320i	1.03449	+	0.526914i
$950$	12.6566	+	9.19558i	0.410635	+	0.298344i
$951$	1.42579	+	6.70781i	0.0462343	+	0.217516i
$952$	−12.1955	−	5.42977i	−0.395257	−	0.175980i
$953$	2.76378	+	26.2956i	0.0895276	+	0.851799i	0.943476	+	0.331441i	$0.107535\pi$
$953$	2.76378	+	26.2956i	0.0895276	+	0.851799i	−0.853948	+	0.520358i	$0.825799\pi$
$954$	−56.3242	+	77.5236i	−1.82356	+	2.50992i
$955$	−15.9769	−	9.22426i	−0.517000	−	0.298490i
$956$	−31.8049	−	18.3626i	−1.02864	−	0.593888i
$957$	−2.89287	+	3.98169i	−0.0935131	+	0.128710i
$958$	−23.1088	−	4.91193i	−0.746612	−	0.158697i
$959$	14.7560	−	3.13649i	0.476497	−	0.101283i
$960$	6.22419	−	3.59354i	0.200885	−	0.115981i
$961$	−30.4541	−	5.79226i	−0.982389	−	0.186847i
$962$	5.59195	−	6.90751i	0.180292	−	0.222707i
$963$	3.35660	−	10.3305i	0.108165	−	0.332897i
$964$	51.0826	+	45.9950i	1.64526	+	1.48140i
$965$	−4.18235	+	39.7924i	−0.134635	+	1.28096i
$966$	−1.99925	+	3.46281i	−0.0643249	+	0.111414i
$967$			18.0448i			0.580281i	0.956984	+	0.290140i	$0.0937020\pi$
$967$			18.0448i			0.580281i	−0.956984	+	0.290140i	$0.906298\pi$
$968$	0.487353	+	1.09461i	0.0156641	+	0.0351822i
$969$	−2.48777	+	0.261476i	−0.0799188	+	0.00839981i
$970$	15.5223	+	21.3647i	0.498393	+	0.685979i
$971$	34.1672	+	37.9465i	1.09648	+	1.21776i	0.974301	+	0.225252i	$0.0723205\pi$
$971$	34.1672	+	37.9465i	1.09648	+	1.21776i	0.122176	+	0.992508i	$0.461013\pi$
$972$	2.84581	−	27.0761i	0.0912795	−	0.868466i
$973$	3.51019	+	16.5141i	0.112532	+	0.529419i
$974$	−27.2467	−	83.8567i	−0.873040	−	2.68694i
$975$	−1.91813	−	1.24526i	−0.0614293	−	0.0398801i
$976$	−5.17415	−	15.9244i	−0.165620	−	0.509727i
$977$	45.8944	+	41.3235i	1.46829	+	1.32206i	0.837958	+	0.545734i	$0.183749\pi$
$977$	45.8944	+	41.3235i	1.46829	+	1.32206i	0.630335	+	0.776323i	$0.282917\pi$
$978$	4.73559	+	2.10842i	0.151427	+	0.0674198i
$979$	5.51738	+	1.17276i	0.176336	+	0.0374814i
$980$	−61.0007	−	19.8203i	−1.94860	−	0.633137i
$981$	8.21816	+	18.4583i	0.262386	+	0.589328i
$982$	32.5098	−	29.2719i	1.03743	−	0.934105i
$983$	−18.1639	−	25.0005i	−0.579340	−	0.797393i	0.414283	−	0.910148i	$-0.364032\pi$
$983$	−18.1639	−	25.0005i	−0.579340	−	0.797393i	−0.993623	+	0.112755i	$0.964032\pi$
$984$	−0.0631107	−	0.600458i	−0.00201189	−	0.0191419i
$985$	−0.538379	+	5.12234i	−0.0171542	+	0.163211i
$986$	37.4248	−	21.6072i	1.19185	−	0.688115i
$987$	0.154288			0.00491105
$988$	−37.0685	−	9.92677i	−1.17931	−	0.315813i
$989$	−3.85052	−	11.8507i	−0.122439	−	0.376830i
$990$	13.3607	+	62.8573i	0.424632	+	1.99774i
$991$	25.3286	+	43.8705i	0.804591	+	1.39359i	0.916567	+	0.399881i	$0.130949\pi$
$991$	25.3286	+	43.8705i	0.804591	+	1.39359i	−0.111976	+	0.993711i	$0.535718\pi$
$992$	−4.92241	+	6.93049i	−0.156287	+	0.220043i
$993$			3.95306i			0.125447i
$994$	8.59099	−	7.73536i	0.272490	−	0.245351i
$995$	−0.0860307	+	0.404743i	−0.00272736	+	0.0128312i
$996$	−6.70748	+	9.23205i	−0.212534	+	0.292529i
$997$	−20.9653	+	36.3129i	−0.663976	+	1.15004i	0.315586	+	0.948897i	$0.397799\pi$
$997$	−20.9653	+	36.3129i	−0.663976	+	1.15004i	−0.979562	+	0.201143i	$0.935534\pi$
$998$	−40.6872	−	70.4723i	−1.28793	−	2.23076i
$999$	1.63449	+	0.171791i	0.0517129	+	0.00543524i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	403.2.bs.a.101.4	yes	288
13.4	even	6	inner	403.2.bs.a.225.33	yes	288
31.4	even	5	inner	403.2.bs.a.283.33	yes	288
403.4	even	30	inner	403.2.bs.a.4.4	✓	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
403.2.bs.a.4.4	✓	288	403.4	even	30	inner
403.2.bs.a.101.4	yes	288	1.1	even	1	trivial
403.2.bs.a.225.33	yes	288	13.4	even	6	inner
403.2.bs.a.283.33	yes	288	31.4	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 403 = 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	403.bs (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.502235 - 2.36283i) q^{2} +(0.181860 - 0.201976i) q^{3} +(-3.50363 + 1.55992i) q^{4} +2.70808i q^{5} +(-0.568571 - 0.328265i) q^{6} +(-0.369305 - 0.829472i) q^{7} +(2.60573 + 3.58648i) q^{8} +(0.305864 + 2.91010i) q^{9} +O(q^{10})\)	\(q+(-0.502235 - 2.36283i) q^{2} +(0.181860 - 0.201976i) q^{3} +(-3.50363 + 1.55992i) q^{4} +2.70808i q^{5} +(-0.568571 - 0.328265i) q^{6} +(-0.369305 - 0.829472i) q^{7} +(2.60573 + 3.58648i) q^{8} +(0.305864 + 2.91010i) q^{9} +(6.39874 - 1.36009i) q^{10} +(3.33873 + 0.350915i) q^{11} +(-0.322104 + 0.991336i) q^{12} +(0.564544 + 3.56108i) q^{13} +(-1.77442 + 1.28919i) q^{14} +(0.546968 + 0.492492i) q^{15} +(2.03306 - 2.25794i) q^{16} +(-0.346673 - 3.29837i) q^{17} +(6.72246 - 2.18426i) q^{18} +(2.06233 - 1.85693i) q^{19} +(-4.22438 - 9.48812i) q^{20} +(-0.234695 - 0.0762571i) q^{21} +(-0.847676 - 8.06510i) q^{22} +(6.12777 + 2.72826i) q^{23} +(1.19826 + 0.125942i) q^{24} -2.33371 q^{25} +(8.13069 - 3.12242i) q^{26} +(1.30303 + 0.946709i) q^{27} +(2.58781 + 2.33008i) q^{28} +(-5.27619 + 1.12149i) q^{29} +(0.888968 - 1.53974i) q^{30} +(-0.522466 + 5.54320i) q^{31} +(1.32222 + 0.763385i) q^{32} +(0.678059 - 0.610527i) q^{33} +(-7.61938 + 2.47569i) q^{34} +(2.24628 - 1.00011i) q^{35} +(-5.61115 - 9.71880i) q^{36} +(0.883690 - 0.510198i) q^{37} +(-5.42338 - 3.94032i) q^{38} +(0.821921 + 0.533594i) q^{39} +(-9.71250 + 7.05654i) q^{40} +(-0.104186 - 0.490157i) q^{41} +(-0.0623104 + 0.592843i) q^{42} +(-1.24301 - 1.38051i) q^{43} +(-12.2451 + 3.97867i) q^{44} +(-7.88080 + 0.828306i) q^{45} +(3.36883 - 15.8491i) q^{46} +(-0.594623 + 0.193205i) q^{47} +(-0.0863177 - 0.821258i) q^{48} +(4.13228 - 4.58936i) q^{49} +(1.17207 + 5.51417i) q^{50} +(-0.729238 - 0.529823i) q^{51} +(-7.53294 - 11.5961i) q^{52} +(-10.9676 + 7.96844i) q^{53} +(1.58248 - 3.55431i) q^{54} +(-0.950307 + 9.04157i) q^{55} +(2.01258 - 3.48589i) q^{56} -0.754243i q^{57} +(5.29977 + 11.9035i) q^{58} +(-2.39527 + 11.2689i) q^{59} +(-2.68462 - 0.872286i) q^{60} +(2.75542 - 4.77253i) q^{61} +(13.3600 - 1.54949i) q^{62} +(2.30089 - 1.32842i) q^{63} +(3.01749 - 9.28688i) q^{64} +(-9.64370 + 1.52883i) q^{65} +(-1.78312 - 1.29551i) q^{66} +(9.17752 - 5.29865i) q^{67} +(6.35980 + 11.0155i) q^{68} +(1.66544 - 0.741502i) q^{69} +(-3.49124 - 4.80528i) q^{70} +(-5.24185 + 0.550941i) q^{71} +(-9.64004 + 8.67993i) q^{72} +(5.83036 - 8.02480i) q^{73} +(-1.64933 - 1.83177i) q^{74} +(-0.424410 + 0.471355i) q^{75} +(-4.32899 + 9.72306i) q^{76} +(-0.941935 - 2.89898i) q^{77} +(0.847994 - 2.21005i) q^{78} +(-3.83936 + 2.78946i) q^{79} +(6.11469 + 5.50569i) q^{80} +(-8.15839 + 1.73412i) q^{81} +(-1.10583 + 0.492348i) q^{82} +(10.4120 + 3.38305i) q^{83} +(0.941239 - 0.0989283i) q^{84} +(8.93227 - 0.938819i) q^{85} +(-2.63761 + 3.63037i) q^{86} +(-0.733014 + 1.26962i) q^{87} +(7.44130 + 12.8887i) q^{88} +(1.67100 + 0.175629i) q^{89} +(5.91516 + 18.2050i) q^{90} +(2.74533 - 1.78340i) q^{91} -25.7253 q^{92} +(1.02458 + 1.11361i) q^{93} +(0.755150 + 1.30796i) q^{94} +(5.02872 + 5.58496i) q^{95} +(0.394645 - 0.128228i) q^{96} +(1.64196 + 3.68790i) q^{97} +(-12.9192 - 7.45893i) q^{98} +9.82339i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9}+O(q^{10}) \) 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9	\( 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9} + 3 q^{10} - 18 q^{11} - 46 q^{12} - q^{13} - 32 q^{14} + 18 q^{15} + 21 q^{16} - 15 q^{17} - 15 q^{19} + 51 q^{20} - 10 q^{22} - 4 q^{23} - 51 q^{24} - 296 q^{25} - 6 q^{26} - 52 q^{27} + 21 q^{28} + q^{29} + 60 q^{30} + 138 q^{32} + 69 q^{33} - 10 q^{35} + 128 q^{36} - 18 q^{37} + 32 q^{38} - 14 q^{39} + 60 q^{40} - 15 q^{41} - 49 q^{42} - 36 q^{43} + 6 q^{45} - 69 q^{46} + 21 q^{48} - 23 q^{49} + 117 q^{50} + 8 q^{51} + 26 q^{52} - 48 q^{53} + 75 q^{54} + 46 q^{55} - 98 q^{56} - 21 q^{58} - 105 q^{59} - 74 q^{61} - 3 q^{62} - 90 q^{63} + 90 q^{64} + 89 q^{65} - 8 q^{66} + 6 q^{67} - 182 q^{68} + 29 q^{69} + 3 q^{71} - 183 q^{72} - 53 q^{74} - 38 q^{75} + 144 q^{76} - 128 q^{78} - 72 q^{79} - 72 q^{80} + 11 q^{81} - 11 q^{82} - 33 q^{84} + 72 q^{85} - 18 q^{87} - 14 q^{88} + 81 q^{89} - 34 q^{90} - 48 q^{91} + 8 q^{92} + 72 q^{93} - 6 q^{94} + 141 q^{97} + 96 q^{98}+O(q^{100}) \) 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9 + 3 * q^10 - 18 * q^11 - 46 * q^12 - q^13 - 32 * q^14 + 18 * q^15 + 21 * q^16 - 15 * q^17 - 15 * q^19 + 51 * q^20 - 10 * q^22 - 4 * q^23 - 51 * q^24 - 296 * q^25 - 6 * q^26 - 52 * q^27 + 21 * q^28 + q^29 + 60 * q^30 + 138 * q^32 + 69 * q^33 - 10 * q^35 + 128 * q^36 - 18 * q^37 + 32 * q^38 - 14 * q^39 + 60 * q^40 - 15 * q^41 - 49 * q^42 - 36 * q^43 + 6 * q^45 - 69 * q^46 + 21 * q^48 - 23 * q^49 + 117 * q^50 + 8 * q^51 + 26 * q^52 - 48 * q^53 + 75 * q^54 + 46 * q^55 - 98 * q^56 - 21 * q^58 - 105 * q^59 - 74 * q^61 - 3 * q^62 - 90 * q^63 + 90 * q^64 + 89 * q^65 - 8 * q^66 + 6 * q^67 - 182 * q^68 + 29 * q^69 + 3 * q^71 - 183 * q^72 - 53 * q^74 - 38 * q^75 + 144 * q^76 - 128 * q^78 - 72 * q^79 - 72 * q^80 + 11 * q^81 - 11 * q^82 - 33 * q^84 + 72 * q^85 - 18 * q^87 - 14 * q^88 + 81 * q^89 - 34 * q^90 - 48 * q^91 + 8 * q^92 + 72 * q^93 - 6 * q^94 + 141 * q^97 + 96 * q^98

Introduction

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