LMFDB - Embedded newform 483.2.bc.a.11.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(11,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 44, 27]))

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

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

chi := DirichletCharacter("483.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bc (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.17
Character	$\chi$	$=$	483.11
Dual form			483.2.bc.a.44.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.583726 + 1.13227i) q^{2} +(1.30843 - 1.13490i) q^{3} +(0.218812 + 0.307278i) q^{4} +(-1.12328 - 1.07105i) q^{5} +(0.521253 + 2.14397i) q^{6} +(2.07224 + 1.64494i) q^{7} +(-2.99748 + 0.430973i) q^{8} +(0.423986 - 2.96989i) q^{9} +O(q^{10})$	\(q+(-0.583726 + 1.13227i) q^{2} +(1.30843 - 1.13490i) q^{3} +(0.218812 + 0.307278i) q^{4} +(-1.12328 - 1.07105i) q^{5} +(0.521253 + 2.14397i) q^{6} +(2.07224 + 1.64494i) q^{7} +(-2.99748 + 0.430973i) q^{8} +(0.423986 - 2.96989i) q^{9} +(1.86841 - 0.646663i) q^{10} +(5.52191 - 2.84674i) q^{11} +(0.635032 + 0.153722i) q^{12} +(-0.411572 + 0.474979i) q^{13} +(-3.07214 + 1.38615i) q^{14} +(-2.68528 - 0.126575i) q^{15} +(1.01497 - 2.93258i) q^{16} +(1.50200 + 0.143424i) q^{17} +(3.11523 + 2.21367i) q^{18} +(0.317068 + 3.32048i) q^{19} +(0.0833222 - 0.579519i) q^{20} +(4.57823 - 0.199506i) q^{21} +7.91401i q^{22} +(-2.18013 + 4.27166i) q^{23} +(-3.43288 + 3.96575i) q^{24} +(-0.123289 - 2.58815i) q^{25} +(-0.297560 - 0.743269i) q^{26} +(-2.81578 - 4.36708i) q^{27} +(-0.0520227 + 0.996686i) q^{28} +(2.81164 - 1.28403i) q^{29} +(1.71078 - 2.96658i) q^{30} +(8.13982 + 3.25869i) q^{31} +(-1.45153 - 1.52232i) q^{32} +(3.99426 - 9.99160i) q^{33} +(-1.03915 + 1.61695i) q^{34} +(-0.565906 - 4.06720i) q^{35} +(1.00536 - 0.519565i) q^{36} +(0.760916 - 0.184596i) q^{37} +(-3.94477 - 1.57925i) q^{38} +(0.000542279 + 1.08857i) q^{39} +(3.82861 + 2.72634i) q^{40} +(-0.696431 - 2.37183i) q^{41} +(-2.44654 + 5.30026i) q^{42} +(2.40532 + 0.345833i) q^{43} +(2.08300 + 1.07386i) q^{44} +(-3.65715 + 2.88192i) q^{45} +(-3.56407 - 4.96198i) q^{46} +(-6.33780 + 3.65913i) q^{47} +(-2.00017 - 4.98897i) q^{48} +(1.58836 + 6.81741i) q^{49} +(3.00246 + 1.37118i) q^{50} +(2.12804 - 1.51697i) q^{51} +(-0.236008 - 0.0225360i) q^{52} +(1.91492 - 0.369070i) q^{53} +(6.58836 - 0.639050i) q^{54} +(-9.25167 - 2.71653i) q^{55} +(-6.92042 - 4.03759i) q^{56} +(4.18329 + 3.98478i) q^{57} +(-0.187355 + 3.93307i) q^{58} +(-7.47144 + 2.58589i) q^{59} +(-0.548677 - 0.852824i) q^{60} +(-6.70139 - 8.52151i) q^{61} +(-8.44115 + 7.31430i) q^{62} +(5.76388 - 5.45689i) q^{63} +(8.52608 - 2.50348i) q^{64} +(0.971038 - 0.0927229i) q^{65} +(8.98165 + 10.3549i) q^{66} +(-7.61229 + 0.362618i) q^{67} +(0.284585 + 0.492915i) q^{68} +(1.99537 + 8.06341i) q^{69} +(4.93551 + 1.73338i) q^{70} +(8.73845 + 13.5973i) q^{71} +(0.00905140 + 9.08491i) q^{72} +(-4.19850 - 5.89597i) q^{73} +(-0.235154 + 0.969317i) q^{74} +(-3.09862 - 3.24650i) q^{75} +(-0.950934 + 0.823989i) q^{76} +(16.1254 + 3.18406i) q^{77} +(-1.23288 - 0.634814i) q^{78} +(-0.913369 + 4.73901i) q^{79} +(-4.28104 + 2.20703i) q^{80} +(-8.64047 - 2.51838i) q^{81} +(3.09208 + 0.595949i) q^{82} +(-14.4757 - 4.25044i) q^{83} +(1.06308 + 1.36314i) q^{84} +(-1.53356 - 1.76982i) q^{85} +(-1.79563 + 2.52161i) q^{86} +(2.22159 - 4.87101i) q^{87} +(-15.3249 + 10.9128i) q^{88} +(-3.25091 + 1.30147i) q^{89} +(-1.12834 - 5.82314i) q^{90} +(-1.63419 + 0.307261i) q^{91} +(-1.78962 + 0.264783i) q^{92} +(14.3487 - 4.97414i) q^{93} +(-0.443587 - 9.31204i) q^{94} +(3.20024 - 4.06944i) q^{95} +(-3.62692 - 0.344506i) q^{96} +(-2.52489 - 8.59900i) q^{97} +(-8.64633 - 2.18105i) q^{98} +(-6.11329 - 17.6064i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.583726	+	1.13227i	−0.412757	+	0.800637i	−0.999961	−	0.00880195i	$-0.997198\pi$
$2$	−0.583726	+	1.13227i	−0.412757	+	0.800637i	0.587204	+	0.809439i	$0.300229\pi$
$3$	1.30843	−	1.13490i	0.755423	−	0.655237i
$3$	1.30843	−	1.13490i	0.755423	−	0.655237i
$4$	0.218812	+	0.307278i	0.109406	+	0.153639i
$5$	−1.12328	−	1.07105i	−0.502348	−	0.478988i	0.396014	−	0.918245i	$-0.370393\pi$
$5$	−1.12328	−	1.07105i	−0.502348	−	0.478988i	−0.898361	+	0.439257i	$0.855242\pi$
$6$	0.521253	+	2.14397i	0.212801	+	0.875273i
$7$	2.07224	+	1.64494i	0.783233	+	0.621728i
$7$	2.07224	+	1.64494i	0.783233	+	0.621728i
$8$	−2.99748	+	0.430973i	−1.05977	+	0.152372i
$9$	0.423986	−	2.96989i	0.141329	−	0.989963i
$10$	1.86841	−	0.646663i	0.590843	−	0.204493i
$11$	5.52191	−	2.84674i	1.66492	−	0.858325i	0.671862	−	0.740676i	$-0.265495\pi$
$11$	5.52191	−	2.84674i	1.66492	−	0.858325i	0.993055	−	0.117648i	$-0.0375356\pi$
$12$	0.635032	+	0.153722i	0.183318	+	0.0443757i
$13$	−0.411572	+	0.474979i	−0.114149	+	0.131736i	−0.809948	−	0.586501i	$-0.800505\pi$
$13$	−0.411572	+	0.474979i	−0.114149	+	0.131736i	0.695799	+	0.718237i	$0.255050\pi$
$14$	−3.07214	+	1.38615i	−0.821063	+	0.370463i
$15$	−2.68528	−	0.126575i	−0.693336	−	0.0326815i
$16$	1.01497	−	2.93258i	0.253744	−	0.733144i
$17$	1.50200	+	0.143424i	0.364289	+	0.0347853i	0.275596	−	0.961274i	$-0.411125\pi$
$17$	1.50200	+	0.143424i	0.364289	+	0.0347853i	0.0886930	+	0.996059i	$0.471731\pi$
$18$	3.11523	+	2.21367i	0.734266	+	0.521767i
$19$	0.317068	+	3.32048i	0.0727403	+	0.761771i	0.956093	+	0.293063i	$0.0946744\pi$
$19$	0.317068	+	3.32048i	0.0727403	+	0.761771i	−0.883353	+	0.468708i	$0.844719\pi$
$20$	0.0833222	−	0.579519i	0.0186314	−	0.129584i
$21$	4.57823	−	0.199506i	0.999052	−	0.0435358i
$22$			7.91401i			1.68727i
$23$	−2.18013	+	4.27166i	−0.454588	+	0.890702i
$23$	−2.18013	+	4.27166i	−0.454588	+	0.890702i
$24$	−3.43288	+	3.96575i	−0.700735	+	0.809505i
$25$	−0.123289	−	2.58815i	−0.0246578	−	0.517630i
$26$	−0.297560	−	0.743269i	−0.0583563	−	0.145767i
$27$	−2.81578	−	4.36708i	−0.541897	−	0.840445i
$28$	−0.0520227	+	0.996686i	−0.00983137	+	0.188356i
$29$	2.81164	−	1.28403i	0.522109	−	0.238439i	−0.136886	−	0.990587i	$-0.543709\pi$
$29$	2.81164	−	1.28403i	0.522109	−	0.238439i	0.658995	+	0.752148i	$0.270982\pi$
$30$	1.71078	−	2.96658i	0.312345	−	0.541621i
$31$	8.13982	+	3.25869i	1.46195	+	0.585278i	0.960096	−	0.279671i	$-0.0902254\pi$
$31$	8.13982	+	3.25869i	1.46195	+	0.585278i	0.501859	+	0.864950i	$0.332650\pi$
$32$	−1.45153	−	1.52232i	−0.256597	−	0.269112i
$33$	3.99426	−	9.99160i	0.695311	−	1.73931i
$34$	−1.03915	+	1.61695i	−0.178213	+	0.277305i
$35$	−0.565906	−	4.06720i	−0.0956555	−	0.687483i
$36$	1.00536	−	0.519565i	0.167559	−	0.0865942i
$37$	0.760916	−	0.184596i	0.125094	−	0.0303474i	−0.172723	−	0.984970i	$-0.555257\pi$
$37$	0.760916	−	0.184596i	0.125094	−	0.0303474i	0.297817	+	0.954623i	$0.403741\pi$
$38$	−3.94477	−	1.57925i	−0.639926	−	0.256188i
$39$	0.000542279		1.08857i	8.68341e−5		0.174311i
$40$	3.82861	+	2.72634i	0.605357	+	0.431073i
$41$	−0.696431	−	2.37183i	−0.108764	−	0.370417i	0.887066	−	0.461643i	$-0.152740\pi$
$41$	−0.696431	−	2.37183i	−0.108764	−	0.370417i	−0.995830	+	0.0912256i	$0.970922\pi$
$42$	−2.44654	+	5.30026i	−0.377509	+	0.817847i
$43$	2.40532	+	0.345833i	0.366809	+	0.0527391i	0.323255	−	0.946312i	$-0.395223\pi$
$43$	2.40532	+	0.345833i	0.366809	+	0.0527391i	0.0435538	+	0.999051i	$0.486132\pi$
$44$	2.08300	+	1.07386i	0.314024	+	0.161891i
$45$	−3.65715	+	2.88192i	−0.545176	+	0.429611i
$46$	−3.56407	−	4.96198i	−0.525494	−	0.731603i
$47$	−6.33780	+	3.65913i	−0.924463	+	0.533739i	−0.885056	−	0.465484i	$-0.845880\pi$
$47$	−6.33780	+	3.65913i	−0.924463	+	0.533739i	−0.0394068	+	0.999223i	$0.512547\pi$
$48$	−2.00017	−	4.98897i	−0.288699	−	0.720096i
$49$	1.58836	+	6.81741i	0.226909	+	0.973916i
$50$	3.00246	+	1.37118i	0.424612	+	0.193914i
$51$	2.12804	−	1.51697i	0.297985	−	0.212418i
$52$	−0.236008	−	0.0225360i	−0.0327284	−	0.00312518i
$53$	1.91492	−	0.369070i	0.263034	−	0.0506956i	−0.0560291	−	0.998429i	$-0.517844\pi$
$53$	1.91492	−	0.369070i	0.263034	−	0.0506956i	0.319063	+	0.947734i	$0.396632\pi$
$54$	6.58836	−	0.639050i	0.896563	−	0.0869637i
$55$	−9.25167	−	2.71653i	−1.24749	−	0.366297i
$56$	−6.92042	−	4.03759i	−0.924780	−	0.539545i
$57$	4.18329	+	3.98478i	0.554090	+	0.527797i
$58$	−0.187355	+	3.93307i	−0.0246009	+	0.516437i
$59$	−7.47144	+	2.58589i	−0.972698	+	0.336654i	−0.766776	−	0.641914i	$-0.778141\pi$
$59$	−7.47144	+	2.58589i	−0.972698	+	0.336654i	−0.205922	+	0.978568i	$0.566019\pi$
$60$	−0.548677	−	0.852824i	−0.0708339	−	0.110099i
$61$	−6.70139	−	8.52151i	−0.858025	−	1.09107i	−0.994939	−	0.100485i	$-0.967961\pi$
$61$	−6.70139	−	8.52151i	−0.858025	−	1.09107i	0.136913	−	0.990583i	$-0.456282\pi$
$62$	−8.44115	+	7.31430i	−1.07203	+	0.928917i
$63$	5.76388	−	5.45689i	0.726181	−	0.687504i
$64$	8.52608	−	2.50348i	1.06576	−	0.312935i
$65$	0.971038	−	0.0927229i	0.120442	−	0.0115009i
$66$	8.98165	+	10.3549i	1.10556	+	1.27461i
$67$	−7.61229	+	0.362618i	−0.929990	+	0.0443009i	−0.507107	−	0.861883i	$-0.669285\pi$
$67$	−7.61229	+	0.362618i	−0.929990	+	0.0443009i	−0.422883	+	0.906184i	$0.638982\pi$
$68$	0.284585	+	0.492915i	0.0345109	+	0.0597747i
$69$	1.99537	+	8.06341i	0.240214	+	0.970720i
$70$	4.93551	+	1.73338i	0.589907	+	0.207178i
$71$	8.73845	+	13.5973i	1.03706	+	1.61370i	0.756648	+	0.653822i	$0.226835\pi$
$71$	8.73845	+	13.5973i	1.03706	+	1.61370i	0.280414	+	0.959879i	$0.409528\pi$
$72$	0.00905140	+	9.08491i	0.00106672	+	1.07067i
$73$	−4.19850	−	5.89597i	−0.491398	−	0.690072i	0.492193	−	0.870486i	$-0.336195\pi$
$73$	−4.19850	−	5.89597i	−0.491398	−	0.690072i	−0.983591	+	0.180415i	$0.942256\pi$
$74$	−0.235154	+	0.969317i	−0.0273361	+	0.112681i
$75$	−3.09862	−	3.24650i	−0.357798	−	0.374873i
$76$	−0.950934	+	0.823989i	−0.109080	+	0.0945180i
$77$	16.1254	+	3.18406i	1.83766	+	0.362857i
$78$	−1.23288	−	0.634814i	−0.139596	−	0.0718786i
$79$	−0.913369	+	4.73901i	−0.102762	+	0.533180i	0.893666	+	0.448733i	$0.148125\pi$
$79$	−0.913369	+	4.73901i	−0.102762	+	0.533180i	−0.996428	+	0.0844471i	$0.973088\pi$
$80$	−4.28104	+	2.20703i	−0.478634	+	0.246753i
$81$	−8.64047	−	2.51838i	−0.960052	−	0.279820i
$82$	3.09208	+	0.595949i	0.341463	+	0.0658115i
$83$	−14.4757	−	4.25044i	−1.58891	−	0.466546i	−0.636478	−	0.771295i	$-0.719609\pi$
$83$	−14.4757	−	4.25044i	−1.58891	−	0.466546i	−0.952433	+	0.304748i	$0.901428\pi$
$84$	1.06308	+	1.36314i	0.115991	+	0.148730i
$85$	−1.53356	−	1.76982i	−0.166338	−	0.191964i
$86$	−1.79563	+	2.52161i	−0.193628	+	0.271912i
$87$	2.22159	−	4.87101i	0.238179	−	0.522228i
$88$	−15.3249	+	10.9128i	−1.63364	+	1.16331i
$89$	−3.25091	+	1.30147i	−0.344595	+	0.137955i	−0.537503	−	0.843262i	$-0.680632\pi$
$89$	−3.25091	+	1.30147i	−0.344595	+	0.137955i	0.192908	+	0.981217i	$0.438208\pi$
$90$	−1.12834	−	5.82314i	−0.118937	−	0.613813i
$91$	−1.63419	+	0.307261i	−0.171309	+	0.0322097i
$92$	−1.78962	+	0.264783i	−0.186581	+	0.0276055i
$93$	14.3487	−	4.97414i	1.48789	−	0.515794i
$94$	−0.443587	−	9.31204i	−0.0457525	−	0.960463i
$95$	3.20024	−	4.06944i	0.328338	−	0.417516i
$96$	−3.62692	−	0.344506i	−0.370171	−	0.0351610i
$97$	−2.52489	−	8.59900i	−0.256364	−	0.873096i	−0.982613	−	0.185665i	$-0.940556\pi$
$97$	−2.52489	−	8.59900i	−0.256364	−	0.873096i	0.726249	−	0.687432i	$-0.241262\pi$
$98$	−8.64633	−	2.18105i	−0.873411	−	0.220319i
$99$	−6.11329	−	17.6064i	−0.614409	−	1.76951i
$100$	0.768306	−	0.604202i	0.0768306	−	0.0604202i
$101$	−6.42598	−	6.73938i	−0.639409	−	0.670593i	0.321675	−	0.946850i	$-0.395754\pi$
$101$	−6.42598	−	6.73938i	−0.639409	−	0.670593i	−0.961084	+	0.276257i	$0.910906\pi$
$102$	0.475426	+	3.29501i	0.0470742	+	0.326254i
$103$	−0.416174	−	0.0198248i	−0.0410068	−	0.00195340i	0.0270685	−	0.999634i	$-0.491383\pi$
$103$	−0.416174	−	0.0198248i	−0.0410068	−	0.00195340i	−0.0680753	+	0.997680i	$0.521686\pi$
$104$	1.02898	−	1.60112i	0.100899	−	0.157002i
$105$	−5.35633	−	4.67941i	−0.522725	−	0.456663i
$106$	−0.699900	+	2.38364i	−0.0679803	+	0.231520i
$107$	3.52239	−	2.77004i	0.340522	−	0.267790i	−0.433223	−	0.901287i	$-0.642624\pi$
$107$	3.52239	−	2.77004i	0.340522	−	0.267790i	0.773745	+	0.633497i	$0.218381\pi$
$108$	0.725782	−	1.82080i	0.0698384	−	0.175206i
$109$	0.479308	−	5.01954i	0.0459094	−	0.480785i	−0.943056	−	0.332635i	$-0.892062\pi$
$109$	0.479308	−	5.01954i	0.0459094	−	0.480785i	0.988965	−	0.148150i	$-0.0473317\pi$
$110$	8.47630	−	8.88969i	0.808183	−	0.847598i
$111$	0.786108	−	1.10510i	0.0746140	−	0.104891i
$112$	6.92717	−	4.40743i	0.654556	−	0.416463i
$113$	−13.5482	+	8.70690i	−1.27451	+	0.819076i	−0.990200	−	0.139657i	$-0.955400\pi$
$113$	−13.5482	+	8.70690i	−1.27451	+	0.819076i	−0.284308	+	0.958733i	$0.591764\pi$
$114$	−6.95375	+	2.41060i	−0.651279	+	0.225773i
$115$	7.02406	−	2.46326i	0.654997	−	0.229700i
$116$	1.00978	+	0.582995i	0.0937554	+	0.0541297i
$117$	1.23613	+	1.42371i	0.114281	+	0.131622i
$118$	1.43335	−	9.96915i	0.131950	−	0.917735i
$119$	2.87658	+	2.76790i	0.263696	+	0.253733i
$120$	8.10362	−	0.777875i	0.739756	−	0.0710100i
$121$	16.0069	−	22.4785i	1.45517	−	2.04350i
$122$	13.5604	−	2.61356i	1.22771	−	0.236621i
$123$	−3.60303	−	2.31299i	−0.324874	−	0.208555i
$124$	0.779764	+	3.21423i	0.0700248	+	0.288646i
$125$	−7.71549	+	8.90415i	−0.690094	+	0.796411i
$126$	2.81415	+	9.71161i	0.250705	+	0.865179i
$127$	2.93790	+	1.88807i	0.260697	+	0.167540i	0.664460	−	0.747324i	$-0.268662\pi$
$127$	2.93790	+	1.88807i	0.260697	+	0.167540i	−0.403763	+	0.914864i	$0.632298\pi$
$128$	−1.34612	+	6.98435i	−0.118982	+	0.617335i
$129$	3.53969	−	2.27731i	0.311652	−	0.200506i
$130$	−0.461833	+	1.15360i	−0.0405054	+	0.101178i
$131$	−1.82778	−	0.632599i	−0.159694	−	0.0552705i	0.246052	−	0.969257i	$-0.420867\pi$
$131$	−1.82778	−	0.632599i	−0.159694	−	0.0552705i	−0.405745	+	0.913986i	$0.632988\pi$
$132$	3.94419	−	0.958931i	0.343298	−	0.0834643i
$133$	−4.80495	+	7.40240i	−0.416642	+	0.641869i
$134$	4.03292	−	8.83085i	0.348391	−	0.762870i
$135$	−1.51443	+	7.92131i	−0.130342	+	0.681758i
$136$	−4.56403	+	0.217411i	−0.391362	+	0.0186429i
$137$	−0.397174	+	0.687925i	−0.0339329	+	0.0587734i	−0.882493	−	0.470325i	$-0.844137\pi$
$137$	−0.397174	+	0.687925i	−0.0339329	+	0.0587734i	0.848560	+	0.529099i	$0.177470\pi$
$138$	−10.2947	−	2.44752i	−0.876344	−	0.208347i
$139$	−11.1317			−0.944181			−0.472090	−	0.881550i	$-0.656500\pi$
$139$	−11.1317			−0.944181			−0.472090	+	0.881550i	$0.656500\pi$
$140$	1.12594	−	1.06384i	0.0951590	−	0.0899111i
$141$	−4.13981	+	11.9805i	−0.348635	+	1.00894i
$142$	−20.4967	+	1.95720i	−1.72004	+	0.164244i
$143$	−0.920518	+	3.79443i	−0.0769776	+	0.317306i
$144$	−8.27909	−	4.25773i	−0.689924	−	0.354811i
$145$	−4.53354	−	1.56907i	−0.376490	−	0.130304i
$146$	9.12662	−	1.31221i	0.755325	−	0.108599i
$147$	9.81537	+	7.11748i	0.809558	+	0.587040i
$148$	0.223220	+	0.193421i	0.0183486	+	0.0158991i
$149$	0.454802	−	9.54748i	0.0372589	−	0.782160i	−0.900497	−	0.434863i	$-0.856797\pi$
$149$	0.454802	−	9.54748i	0.0372589	−	0.782160i	0.937755	−	0.347297i	$-0.112900\pi$
$150$	5.48466	−	1.61341i	0.447821	−	0.131734i
$151$	−6.56794	−	18.9768i	−0.534492	−	1.54431i	−0.812041	−	0.583601i	$-0.801643\pi$
$151$	−6.56794	−	18.9768i	−0.534492	−	1.54431i	0.277549	−	0.960711i	$-0.410478\pi$
$152$	−2.38144	−	9.81643i	−0.193160	−	0.796218i
$153$	1.06278	−	4.39996i	0.0859206	−	0.355716i
$154$	−13.0181	+	16.3997i	−1.04903	+	1.32153i
$155$	−5.65311	−	12.3786i	−0.454069	−	0.994272i
$156$	−0.334376	+	0.238359i	−0.0267715	+	0.0190840i
$157$	−8.23540	+	5.86440i	−0.657257	+	0.468030i	−0.859385	−	0.511329i	$-0.829153\pi$
$157$	−8.23540	+	5.86440i	−0.657257	+	0.468030i	0.202129	+	0.979359i	$0.435214\pi$
$158$	−4.83268	−	3.80046i	−0.384468	−	0.302349i
$159$	2.08668	−	2.65615i	0.165484	−	0.210646i
$160$			3.26467i			0.258095i
$161$	−11.5444	+	5.26572i	−0.909823	+	0.414997i
$162$	7.89516	−	8.31331i	0.620303	−	0.653156i
$163$	7.12212	+	3.67171i	0.557847	+	0.287590i	0.714003	−	0.700142i	$-0.246880\pi$
$163$	7.12212	+	3.67171i	0.557847	+	0.287590i	−0.156156	+	0.987732i	$0.549910\pi$
$164$	0.576423	−	0.732982i	0.0450111	−	0.0572363i
$165$	−15.1882	+	6.94536i	−1.18240	+	0.540695i
$166$	13.2625	−	13.9093i	1.02937	−	1.07957i
$167$	12.4780	−	5.69852i	0.965578	−	0.440965i	0.130714	−	0.991420i	$-0.458273\pi$
$167$	12.4780	−	5.69852i	0.965578	−	0.440965i	0.834865	+	0.550455i	$0.185546\pi$
$168$	−13.6372	+	2.57111i	−1.05213	+	0.198365i
$169$	1.79388	+	12.4767i	0.137991	+	0.959746i
$170$	2.89910	−	0.703313i	0.222351	−	0.0539417i
$171$	9.99590	+	0.466182i	0.764405	+	0.0356498i
$172$	0.420046	+	0.814776i	0.0320282	+	0.0621261i
$173$	0.313972	+	0.0149563i	0.0238709	+	0.00113711i	0.0595139	−	0.998227i	$-0.481045\pi$
$173$	0.313972	+	0.0149563i	0.0238709	+	0.00113711i	−0.0356431	+	0.999365i	$0.511348\pi$
$174$	4.21851	+	5.35878i	0.319805	+	0.406248i
$175$	4.00186	−	5.56608i	0.302513	−	0.420756i
$176$	−2.74369	−	19.0828i	−0.206813	−	1.43842i
$177$	−6.84113	+	11.8628i	−0.514211	+	0.891665i
$178$	0.424027	−	4.44061i	0.0317821	−	0.332838i
$179$	−0.212190	−	0.0514768i	−0.0158599	−	0.00384756i	0.227821	−	0.973703i	$-0.426840\pi$
$179$	−0.212190	−	0.0514768i	−0.0158599	−	0.00384756i	−0.243681	+	0.969855i	$0.578355\pi$
$180$	−1.68578	−	0.493166i	−0.125651	−	0.0367584i
$181$	−25.7206	−	3.69806i	−1.91179	−	0.274874i	−0.918958	−	0.394356i	$-0.870968\pi$
$181$	−25.7206	−	3.69806i	−1.91179	−	0.274874i	−0.992836	+	0.119482i	$0.961877\pi$
$182$	0.606015	−	2.02970i	0.0449208	−	0.150451i
$183$	−18.4394	−	3.54438i	−1.36308	−	0.262008i
$184$	4.69393	−	13.7438i	0.346041	−	1.01320i
$185$	−1.05244	−	0.607625i	−0.0773767	−	0.0446734i
$186$	−2.74364	+	19.1502i	−0.201174	+	1.40416i
$187$	8.70220	−	3.48383i	0.636368	−	0.254763i
$188$	−2.51116	−	1.14681i	−0.183145	−	0.0836395i
$189$	1.34859	−	13.6814i	0.0980958	−	0.995177i
$190$	2.73964	+	5.99898i	0.198755	+	0.435212i
$191$	−5.54815	+	16.0303i	−0.401450	+	1.15991i	0.545383	+	0.838187i	$0.316384\pi$
$191$	−5.54815	+	16.0303i	−0.401450	+	1.15991i	−0.946833	+	0.321726i	$0.895737\pi$
$192$	8.31458	−	12.9519i	0.600053	−	0.934724i
$193$	−5.43112	+	5.17857i	−0.390941	+	0.372761i	−0.859904	−	0.510457i	$-0.829476\pi$
$193$	−5.43112	+	5.17857i	−0.390941	+	0.372761i	0.468963	+	0.883218i	$0.344628\pi$
$194$	11.2103	+	2.16060i	0.804849	+	0.155122i
$195$	1.16531	−	1.22336i	0.0834492	−	0.0876064i
$196$	−1.74729	+	1.97980i	−0.124806	+	0.141414i
$197$	17.1044	+	14.8210i	1.21864	+	1.05595i	0.996723	+	0.0808880i	$0.0257756\pi$
$197$	17.1044	+	14.8210i	1.21864	+	1.05595i	0.221913	+	0.975066i	$0.428770\pi$
$198$	23.5037	+	3.35543i	1.67034	+	0.238460i
$199$	−2.67821	+	6.68985i	−0.189853	+	0.474231i	−0.992503	−	0.122220i	$-0.960999\pi$
$199$	−2.67821	+	6.68985i	−0.189853	+	0.474231i	0.802650	+	0.596451i	$0.203423\pi$
$200$	1.48498	+	7.70480i	0.105004	+	0.544812i
$201$	−9.54863	+	9.11368i	−0.673508	+	0.642830i
$202$	11.3818	−	3.34200i	0.800822	−	0.235143i
$203$	7.93855	+	1.96415i	0.557177	+	0.137856i
$204$	0.931770	+	0.321969i	0.0652370	+	0.0225424i
$205$	−1.75805	+	3.41015i	−0.122788	+	0.238175i
$206$	0.265379	−	0.459650i	0.0184898	−	0.0320253i
$207$	11.7620	+	8.28586i	0.817515	+	0.575907i
$208$	0.975178	+	1.68906i	0.0676164	+	0.117115i
$209$	11.2034	+	17.4328i	0.774953	+	1.20585i
$210$	8.42499	−	3.33333i	0.581380	−	0.230022i
$211$	9.76849	−	21.3900i	0.672491	−	1.47255i	−0.197918	−	0.980219i	$-0.563418\pi$
$211$	9.76849	−	21.3900i	0.672491	−	1.47255i	0.870408	−	0.492330i	$-0.163855\pi$
$212$	0.532413	+	0.507655i	0.0365663	+	0.0348659i
$213$	26.8653	+	7.87382i	1.84078	+	0.539505i
$214$	1.08032	+	5.60525i	0.0738494	+	0.383167i
$215$	−2.33146	−	2.96469i	−0.159004	−	0.202190i
$216$	10.3223	+	11.8767i	0.702346	+	0.808107i
$217$	11.5073	+	20.1423i	0.781168	+	1.36735i
$218$	5.40370	+	3.47274i	0.365984	+	0.235204i
$219$	−12.1848	−	2.94958i	−0.823374	−	0.199314i
$220$	−1.18964	−	3.43725i	−0.0802057	−	0.231739i
$221$	−0.686304	+	0.654390i	−0.0461658	+	0.0440190i
$222$	0.792399	+	1.53516i	0.0531824	+	0.103033i
$223$	12.3901	+	14.2990i	0.829705	+	0.957530i	0.999610	−	0.0279303i	$-0.00889164\pi$
$223$	12.3901	+	14.2990i	0.829705	+	0.957530i	−0.169905	+	0.985460i	$0.554346\pi$
$224$	−0.503798	−	5.54230i	−0.0336614	−	0.370311i
$225$	−7.73880	−	0.731186i	−0.515920	−	0.0487457i
$226$	−1.95013	−	20.4227i	−0.129721	−	1.35850i
$227$	−3.46621	−	2.72586i	−0.230061	−	0.180922i	0.496474	−	0.868052i	$-0.334628\pi$
$227$	−3.46621	−	2.72586i	−0.230061	−	0.180922i	−0.726534	+	0.687130i	$0.758870\pi$
$228$	−0.309084	+	2.15735i	−0.0204696	+	0.142874i
$229$	8.25262	−	4.76465i	0.545348	−	0.314857i	−0.201895	−	0.979407i	$-0.564710\pi$
$229$	8.25262	−	4.76465i	0.545348	−	0.314857i	0.747244	+	0.664550i	$0.231377\pi$
$230$	−1.31105	+	9.39101i	−0.0864483	+	0.619225i
$231$	24.7126	−	14.1347i	1.62597	−	0.929994i
$232$	−7.87446	+	5.06061i	−0.516983	+	0.332245i
$233$	4.96897	+	12.4119i	0.325528	+	0.813130i	0.997373	+	0.0724381i	$0.0230780\pi$
$233$	4.96897	+	12.4119i	0.325528	+	0.813130i	−0.671845	+	0.740692i	$0.734498\pi$
$234$	−2.33359	+	0.568584i	−0.152551	+	0.0371695i
$235$	11.0383	+	2.67785i	0.720056	+	0.174684i
$236$	−2.42943	−	1.72999i	−0.158142	−	0.112613i
$237$	4.18324	+	7.23725i	0.271730	+	0.470110i
$238$	−4.81316	+	1.64137i	−0.311991	+	0.106394i
$239$	−4.37718	+	14.9073i	−0.283137	+	0.964274i	0.687992	+	0.725718i	$0.258492\pi$
$239$	−4.37718	+	14.9073i	−0.283137	+	0.964274i	−0.971129	+	0.238556i	$0.923326\pi$
$240$	−3.09668	+	7.74631i	−0.199890	+	0.500022i
$241$	11.3333	+	21.9836i	0.730044	+	1.41609i	0.902332	+	0.431041i	$0.141854\pi$
$241$	11.3333	+	21.9836i	0.730044	+	1.41609i	−0.172288	+	0.985047i	$0.555116\pi$
$242$	16.1082	+	31.2455i	1.03547	+	2.00853i
$243$	−14.1636	+	6.51098i	−0.908594	+	0.417679i
$244$	1.15213	−	3.92380i	0.0737577	−	0.251196i
$245$	5.51760	−	9.35910i	0.352507	−	0.597931i
$246$	4.72212	−	2.72945i	0.301071	−	0.174023i
$247$	−1.70766	−	1.21602i	−0.108656	−	0.0773733i
$248$	−25.8034	−	6.25983i	−1.63851	−	0.397499i
$249$	−23.7643	+	10.8671i	−1.50600	+	0.688674i
$250$	−5.57818	−	13.9336i	−0.352795	−	0.881239i
$251$	12.4883	−	8.02572i	0.788252	−	0.506579i	−0.0835105	−	0.996507i	$-0.526613\pi$
$251$	12.4883	−	8.02572i	0.788252	−	0.506579i	0.871763	+	0.489928i	$0.162977\pi$
$252$	2.93799	+	0.577082i	0.185076	+	0.0363528i
$253$	0.121825	+	29.7939i	0.00765909	+	1.87313i
$254$	−3.85274	+	2.22438i	−0.241743	+	0.139570i
$255$	−4.01513	−	0.575248i	−0.251437	−	0.0360234i
$256$	6.84737	+	5.38483i	0.427960	+	0.336552i
$257$	−1.37057	−	14.3532i	−0.0854935	−	0.895329i	−0.931882	−	0.362762i	$-0.881834\pi$
$257$	−1.37057	−	14.3532i	−0.0854935	−	0.895329i	0.846388	−	0.532566i	$-0.178772\pi$
$258$	0.512326	+	5.33722i	0.0318960	+	0.332281i
$259$	1.88045	+	0.869132i	0.116846	+	0.0540052i
$260$	0.240966	+	0.278090i	0.0149441	+	0.0172464i
$261$	−2.62134	−	8.89467i	−0.162257	−	0.550567i
$262$	1.78320	−	1.70027i	0.110166	−	0.105043i
$263$	−8.77828	−	25.3632i	−0.541292	−	1.56396i	−0.801243	−	0.598339i	$-0.795828\pi$
$263$	−8.77828	−	25.3632i	−0.541292	−	1.56396i	0.259951	−	0.965622i	$-0.416294\pi$
$264$	−7.66661	+	31.6710i	−0.471847	+	1.94922i
$265$	−2.54629	−	1.63640i	−0.156417	−	0.100523i
$266$	−5.57675	−	9.76148i	−0.341932	−	0.598515i
$267$	−2.77655	+	5.39235i	−0.169922	+	0.330006i
$268$	−1.77708	−	2.25975i	−0.108553	−	0.138036i
$269$	3.86630	+	20.0603i	0.235733	+	1.22310i	0.886106	+	0.463483i	$0.153400\pi$
$269$	3.86630	+	20.0603i	0.235733	+	1.22310i	−0.650373	+	0.759615i	$0.725387\pi$
$270$	−8.08506	−	6.33863i	−0.492041	−	0.385757i
$271$	12.1546	+	11.5893i	0.738336	+	0.704002i	0.962720	−	0.270498i	$-0.0871885\pi$
$271$	12.1546	+	11.5893i	0.738336	+	0.704002i	−0.224384	+	0.974501i	$0.572037\pi$
$272$	1.94509	−	4.25916i	0.117939	−	0.258249i
$273$	−1.78951	+	2.25668i	−0.108306	+	0.136580i
$274$	−0.547077	−	0.851269i	−0.0330502	−	0.0514270i
$275$	−8.04859	−	13.9406i	−0.485348	−	0.840648i
$276$	−2.04110	+	2.37750i	−0.122860	+	0.143109i
$277$	2.17721	−	3.77103i	0.130816	−	0.226579i	−0.793176	−	0.608993i	$-0.791574\pi$
$277$	2.17721	−	3.77103i	0.130816	−	0.226579i	0.923991	+	0.382414i	$0.124907\pi$
$278$	6.49788	−	12.6041i	0.389717	−	0.755946i
$279$	13.1291	−	22.7927i	0.786020	−	1.36456i
$280$	3.44914	+	11.9475i	0.206126	+	0.713998i
$281$	8.88753	−	2.60961i	0.530185	−	0.155676i	−0.00567368	−	0.999984i	$-0.501806\pi$
$281$	8.88753	−	2.60961i	0.530185	−	0.155676i	0.535859	+	0.844307i	$0.319988\pi$
$282$	−11.1487	−	11.6807i	−0.663894	−	0.695578i
$283$	1.73400	+	8.99686i	0.103076	+	0.534808i	0.996355	+	0.0853054i	$0.0271866\pi$
$283$	1.73400	+	8.99686i	0.103076	+	0.534808i	−0.893279	+	0.449502i	$0.851601\pi$
$284$	−2.26607	+	5.66038i	−0.134467	+	0.335882i
$285$	−0.431125	−	8.95655i	−0.0255377	−	0.530540i
$286$	−3.75899	−	3.25719i	−0.222274	−	0.192601i
$287$	2.45833	−	6.06058i	0.145111	−	0.357745i
$288$	−5.13656	+	3.66545i	−0.302675	+	0.215989i
$289$	−14.4574	−	2.78643i	−0.850433	−	0.163907i
$290$	4.42296	−	4.21728i	0.259725	−	0.247647i
$291$	−13.0627	−	8.38569i	−0.765749	−	0.491578i
$292$	0.893022	−	2.58022i	0.0522602	−	0.150996i
$293$	4.76733	+	10.4390i	0.278510	+	0.609852i	0.996256	−	0.0864531i	$-0.0275533\pi$
$293$	4.76733	+	10.4390i	0.278510	+	0.609852i	−0.717746	+	0.696305i	$0.754826\pi$
$294$	−13.7884	+	6.95900i	−0.804156	+	0.405857i
$295$	11.1622	+	5.09759i	0.649886	+	0.296793i
$296$	−2.20127	+	0.881258i	−0.127947	+	0.0512221i
$297$	−27.9804	−	16.0988i	−1.62359	−	0.934147i
$298$	10.5449	+	6.08807i	0.610847	+	0.352673i
$299$	−1.13167	−	2.79361i	−0.0654460	−	0.161559i
$300$	0.319564	−	1.66251i	0.0184500	−	0.0959851i
$301$	4.41554	+	4.67326i	0.254507	+	0.269362i
$302$	25.3208	+	3.64058i	1.45705	+	0.209492i
$303$	−16.0565	−	1.52514i	−0.922422	−	0.0876169i
$304$	10.0594	+	2.44038i	0.576945	+	0.139965i
$305$	−1.59939	+	16.7496i	−0.0915810	+	0.959079i
$306$	4.36158	+	3.77173i	0.249335	+	0.215615i
$307$	1.17436	+	8.16788i	0.0670245	+	0.466165i	0.995499	+	0.0947699i	$0.0302115\pi$
$307$	1.17436	+	8.16788i	0.0670245	+	0.466165i	−0.928475	+	0.371396i	$0.878879\pi$
$308$	2.55004	+	5.65170i	0.145302	+	0.322036i
$309$	−0.567034	+	0.446378i	−0.0322575	+	0.0253936i
$310$	17.3158	+	0.824853i	0.983471	+	0.0468485i
$311$	5.42797	+	10.5288i	0.307792	+	0.597033i	0.991103	−	0.133094i	$-0.0424912\pi$
$311$	5.42797	+	10.5288i	0.307792	+	0.597033i	−0.683312	+	0.730127i	$0.739461\pi$
$312$	−0.470770	−	3.26274i	−0.0266521	−	0.184716i
$313$	−7.01598	+	1.70206i	−0.396566	+	0.0962060i	−0.429083	−	0.903265i	$-0.641163\pi$
$313$	−7.01598	+	1.70206i	−0.396566	+	0.0962060i	0.0325162	+	0.999471i	$0.489648\pi$
$314$	−1.83287	−	12.7479i	−0.103435	−	0.719407i
$315$	−12.3191	−	0.0437594i	−0.694101	−	0.00246556i
$316$	−1.65605	+	0.756292i	−0.0931601	+	0.0425448i
$317$	14.1994	−	14.8919i	0.797519	−	0.836414i	−0.191913	−	0.981412i	$-0.561469\pi$
$317$	14.1994	−	14.8919i	0.797519	−	0.836414i	0.989432	+	0.144998i	$0.0463176\pi$
$318$	1.78943	+	3.91315i	0.100346	+	0.219438i
$319$	11.8703	−	15.0943i	0.664610	−	0.845120i
$320$	−12.2586	−	6.31973i	−0.685274	−	0.353284i
$321$	1.46508	−	7.62198i	0.0817728	−	0.425418i
$322$	0.776522	−	16.1451i	0.0432739	−	0.899731i
$323$			5.03284i			0.280035i
$324$	−1.11679	−	3.20608i	−0.0620441	−	0.178116i
$325$	1.28006	+	1.00665i	0.0710050	+	0.0558389i
$326$	−8.31474	+	5.92090i	−0.460511	+	0.327928i
$327$	−5.06955	−	7.11169i	−0.280347	−	0.393277i
$328$	3.10973	+	6.80936i	0.171706	+	0.375984i
$329$	−19.1525	−	2.84269i	−1.05591	−	0.156722i
$330$	1.00172	−	21.2513i	0.0551426	−	1.16985i
$331$	6.65257	+	27.4223i	0.365659	+	1.50726i	0.796389	+	0.604784i	$0.206741\pi$
$331$	6.65257	+	27.4223i	0.365659	+	1.50726i	−0.430731	+	0.902481i	$0.641744\pi$
$332$	−1.86138	−	5.37810i	−0.102157	−	0.295162i
$333$	−0.225613	−	2.33810i	−0.0123635	−	0.128127i
$334$	−0.831478	+	17.4549i	−0.0454965	+	0.955089i
$335$	8.93915	+	7.74582i	0.488398	+	0.423199i
$336$	4.06172	−	13.6285i	0.221585	−	0.743496i
$337$	−19.8814	+	2.85852i	−1.08301	+	0.155713i	−0.660635	−	0.750707i	$-0.729713\pi$
$337$	−19.8814	+	2.85852i	−1.08301	+	0.155713i	−0.422376	+	0.906421i	$0.638804\pi$
$338$	−15.1741	−	5.25182i	−0.825365	−	0.285662i
$339$	−7.84540	+	26.7683i	−0.426103	+	1.45385i
$340$	0.208267	−	0.858487i	0.0112949	−	0.0465580i
$341$	54.2240	−	5.17776i	2.93639	−	0.280392i
$342$	−6.36271	+	11.0459i	−0.344056	+	0.597296i
$343$	−7.92275	+	16.7401i	−0.427788	+	0.903879i
$344$	−7.35896			−0.396768
$345$	6.39494	−	11.1946i	0.344292	−	0.602699i
$346$	−0.200208	+	0.346771i	−0.0107633	+	0.0186425i
$347$	−1.97359	+	0.0940138i	−0.105948	+	0.00504692i	−0.100489	−	0.994938i	$-0.532041\pi$
$347$	−1.97359	+	0.0940138i	−0.105948	+	0.00504692i	−0.00545902	+	0.999985i	$0.501738\pi$
$348$	1.98287	−	0.383191i	0.106293	−	0.0205412i
$349$	6.06136	−	13.2725i	0.324457	−	0.710462i	−0.675173	−	0.737660i	$-0.735931\pi$
$349$	6.06136	−	13.2725i	0.324457	−	0.710462i	0.999630	+	0.0271973i	$0.00865823\pi$
$350$	3.96632	+	7.78026i	0.212008	+	0.415873i
$351$	3.23317	+	0.459929i	0.172574	+	0.0245492i
$352$	−12.3489	−	4.27399i	−0.658198	−	0.227805i
$353$	8.34792	−	20.8521i	0.444315	−	1.10985i	−0.522106	−	0.852881i	$-0.674853\pi$
$353$	8.34792	−	20.8521i	0.444315	−	1.10985i	0.966421	−	0.256965i	$-0.0827224\pi$
$354$	−9.43859	−	14.6707i	−0.501655	−	0.779737i
$355$	4.74761	−	24.6329i	0.251977	−	1.30738i
$356$	−1.11125	−	0.714156i	−0.0588961	−	0.0378502i
$357$	6.90512	+	0.356968i	0.365458	+	0.0188928i
$358$	0.182147	−	0.210209i	0.00962676	−	0.0111099i
$359$	−4.51915	−	18.6282i	−0.238512	−	0.983159i	−0.957568	−	0.288207i	$-0.906941\pi$
$359$	−4.51915	−	18.6282i	−0.238512	−	0.983159i	0.719056	−	0.694952i	$-0.244574\pi$
$360$	9.72021	−	10.2146i	0.512300	−	0.538358i
$361$	7.73157	−	1.49014i	0.406925	−	0.0784283i
$362$	19.2010	−	26.9640i	1.00918	−	1.41720i
$363$	−4.56706	−	47.5779i	−0.239708	−	2.49719i
$364$	−0.451994	−	0.434918i	−0.0236909	−	0.0227959i
$365$	−1.59877	+	11.1197i	−0.0836832	+	0.582029i
$366$	14.7768	−	18.8095i	0.772394	−	0.983187i
$367$	−27.0080	−	15.5930i	−1.40980	−	0.813951i	−0.414435	−	0.910079i	$-0.636021\pi$
$367$	−27.0080	−	15.5930i	−1.40980	−	0.813951i	−0.995369	+	0.0961285i	$0.969354\pi$
$368$	10.3142	+	10.7290i	0.537664	+	0.559288i
$369$	−7.33934	+	1.06270i	−0.382071	+	0.0553220i
$370$	1.30233	−	0.836957i	0.0677050	−	0.0435113i
$371$	4.57526	+	2.38511i	0.237536	+	0.123829i
$372$	4.66811	+	3.32064i	0.242030	+	0.172167i
$373$	−10.2117	+	10.7098i	−0.528743	+	0.554530i	−0.932889	−	0.360165i	$-0.882721\pi$
$373$	−10.2117	+	10.7098i	−0.528743	+	0.554530i	0.404145	+	0.914695i	$0.367569\pi$
$374$	−1.13506	+	11.8869i	−0.0586924	+	0.614655i
$375$	0.0101658	+	20.4068i	0.000524958	+	1.05380i
$376$	17.4204	−	13.6996i	0.898391	−	0.706502i
$377$	−0.547303	+	1.86394i	−0.0281875	+	0.0959980i
$378$	14.7039	+	9.51318i	0.756286	+	0.489305i
$379$	12.1416	−	18.8928i	0.623674	−	0.970456i	−0.375375	−	0.926873i	$-0.622486\pi$
$379$	12.1416	−	18.8928i	0.623674	−	0.970456i	0.999050	−	0.0435835i	$-0.0138774\pi$
$380$	1.95070	+	0.0929234i	0.100069	+	0.00476687i
$381$	5.98683	−	0.863820i	0.306714	−	0.0442548i
$382$	−14.9121	−	15.6393i	−0.762968	−	0.800178i
$383$	10.4903	−	8.24966i	0.536029	−	0.421538i	−0.313103	−	0.949719i	$-0.601368\pi$
$383$	10.4903	−	8.24966i	0.536029	−	0.421538i	0.849131	+	0.528182i	$0.177126\pi$
$384$	6.16525	+	10.6663i	0.314619	+	0.544310i
$385$	−14.7032	−	20.8477i	−0.749342	−	1.06250i
$386$	−2.69325	−	9.17237i	−0.137083	−	0.466862i
$387$	2.04691	−	6.99692i	0.104050	−	0.355673i
$388$	2.08981	−	2.65741i	0.106094	−	0.134909i
$389$	0.121876	+	2.55849i	0.00617934	+	0.129720i	0.999849	+	0.0173787i	$0.00553209\pi$
$389$	0.121876	+	2.55849i	0.00617934	+	0.129720i	−0.993670	+	0.112342i	$0.964165\pi$
$390$	0.704952	+	2.03355i	0.0356966	+	0.102973i
$391$	−3.88721	+	6.10335i	−0.196585	+	0.308659i
$392$	−7.69920	−	19.7505i	−0.388868	−	0.997552i
$393$	−3.10946	+	1.24664i	−0.156851	+	0.0628845i
$394$	−26.7657	+	10.7154i	−1.34844	+	0.539833i
$395$	6.10168	−	4.34499i	0.307009	−	0.218620i
$396$	4.07241	−	5.73098i	0.204646	−	0.287992i
$397$	−20.3635	+	28.5965i	−1.02201	+	1.43522i	−0.125557	+	0.992086i	$0.540072\pi$
$397$	−20.3635	+	28.5965i	−1.02201	+	1.43522i	−0.896457	+	0.443131i	$0.853868\pi$
$398$	−6.01138	−	6.93750i	−0.301323	−	0.347746i
$399$	2.11407	+	15.1387i	0.105836	+	0.757882i
$400$	−7.71509	−	2.26535i	−0.385754	−	0.113268i
$401$	−5.21362	−	1.00484i	−0.260356	−	0.0501795i	0.0574028	−	0.998351i	$-0.481718\pi$
$401$	−5.21362	−	1.00484i	−0.260356	−	0.0501795i	−0.317759	+	0.948172i	$0.602930\pi$
$402$	−4.74538	−	16.1315i	−0.236678	−	0.804568i
$403$	−4.89793	+	2.52506i	−0.243983	+	0.125782i
$404$	0.664783	−	3.44922i	0.0330742	−	0.171605i
$405$	7.00839	+	12.0832i	0.348250	+	0.600420i
$406$	−6.85789	+	7.84207i	−0.340352	+	0.389196i
$407$	3.67621	−	3.18545i	0.182223	−	0.157897i
$408$	−5.72498	+	5.46420i	−0.283429	+	0.270518i
$409$	2.37520	−	9.79070i	0.117446	−	0.484119i	−0.882460	−	0.470388i	$-0.844114\pi$
$409$	2.37520	−	9.79070i	0.117446	−	0.484119i	0.999906	−	0.0137310i	$-0.00437085\pi$
$410$	−2.83499	−	3.98119i	−0.140010	−	0.196617i
$411$	0.261054	+	1.35086i	0.0128769	+	0.0666329i
$412$	−0.0849720	−	0.132219i	−0.00418627	−	0.00651397i
$413$	−19.7362	−	6.93146i	−0.971157	−	0.341075i
$414$	−16.2476	+	8.48109i	−0.798528	+	0.416823i
$415$	11.7079	+	20.2786i	0.574716	+	0.995437i
$416$	1.32048	−	0.0629023i	0.0647420	−	0.00308404i
$417$	−14.5651	+	12.6334i	−0.713256	+	0.618662i
$418$	−26.2784	+	2.50928i	−1.28532	+	0.122733i
$419$	22.2980	−	6.54728i	1.08933	−	0.319855i	0.312723	−	0.949844i	$-0.398759\pi$
$419$	22.2980	−	6.54728i	1.08933	−	0.319855i	0.776604	+	0.629989i	$0.216941\pi$
$420$	0.265851	−	2.66979i	0.0129722	−	0.130273i
$421$	15.2212	−	13.1892i	0.741836	−	0.642804i	−0.199646	−	0.979868i	$-0.563979\pi$
$421$	15.2212	−	13.1892i	0.741836	−	0.642804i	0.941482	+	0.337064i	$0.109434\pi$
$422$	18.5172	+	23.5465i	0.901402	+	1.14623i
$423$	8.18007	+	20.3740i	0.397729	+	0.990616i
$424$	−5.58086	+	1.93155i	−0.271031	+	0.0938046i
$425$	0.186022	−	3.90509i	0.00902341	−	0.189425i
$426$	−24.5973	+	25.8226i	−1.19174	+	1.25111i
$427$	0.130460	−	28.6820i	0.00631340	−	1.38802i
$428$	1.62191	+	0.476237i	0.0783982	+	0.0230198i
$429$	3.10188	+	6.00945i	0.149760	+	0.290139i
$430$	4.71777	−	0.909275i	0.227511	−	0.0438491i
$431$	9.89895	+	0.945236i	0.476816	+	0.0455304i	0.330698	−	0.943737i	$-0.392716\pi$
$431$	9.89895	+	0.945236i	0.476816	+	0.0455304i	0.146118	+	0.989267i	$0.453322\pi$
$432$	−15.6647	+	3.82502i	−0.753670	+	0.184031i
$433$	−21.1294	−	9.64948i	−1.01542	−	0.463725i	−0.163020	−	0.986623i	$-0.552124\pi$
$433$	−21.1294	−	9.64948i	−1.01542	−	0.463725i	−0.852395	+	0.522898i	$0.824851\pi$
$434$	−29.5237	+	1.27182i	−1.41718	+	0.0610494i
$435$	−7.71257	+	3.09210i	−0.369789	+	0.148255i
$436$	1.64727	−	0.951054i	0.0788901	−	0.0455472i
$437$	−14.8752	−	5.88468i	−0.711578	−	0.281502i
$438$	10.4523	−	12.0748i	0.499431	−	0.576955i
$439$	−8.88113	−	4.57854i	−0.423873	−	0.218522i	0.233073	−	0.972459i	$-0.425122\pi$
$439$	−8.88113	−	4.57854i	−0.423873	−	0.218522i	−0.656946	+	0.753937i	$0.728152\pi$
$440$	28.9024	+	4.15554i	1.37787	+	0.198108i
$441$	20.9204	−	1.82677i	0.996209	−	0.0869891i
$442$	−0.340333	−	1.15907i	−0.0161880	−	0.0551312i
$443$	4.02650	+	2.86726i	0.191305	+	0.136227i	0.671696	−	0.740827i	$-0.265566\pi$
$443$	4.02650	+	2.86726i	0.191305	+	0.136227i	−0.480391	+	0.877054i	$0.659505\pi$
$444$	0.511582		0.000254848i	0.0242786		1.20945e-5i
$445$	5.04563	+	2.01996i	0.239186	+	0.0957555i
$446$	−23.4228	+	5.68230i	−1.10910	+	0.269065i
$447$	−10.2404	−	13.0084i	−0.484354	−	0.615275i
$448$	21.7862	+	8.83705i	1.02930	+	0.417511i
$449$	−18.0358	+	28.0643i	−0.851163	+	1.32444i	0.0932387	+	0.995644i	$0.470278\pi$
$449$	−18.0358	+	28.0643i	−0.851163	+	1.32444i	−0.944402	+	0.328792i	$0.893358\pi$
$450$	5.34524	−	8.33561i	0.251977	−	0.392944i
$451$	−10.5976	−	11.1144i	−0.499022	−	0.523359i
$452$	−5.63995	−	2.25789i	−0.265281	−	0.106202i
$453$	−30.1306	−	17.3759i	−1.41566	−	0.816390i
$454$	5.10973	−	2.33354i	0.239812	−	0.109518i
$455$	2.16475	+	1.40515i	0.101485	+	0.0658746i
$456$	−14.2567	−	10.1414i	−0.667629	−	0.474916i
$457$	13.3070	+	33.2392i	0.622474	+	1.55487i	0.818648	+	0.574296i	$0.194724\pi$
$457$	13.3070	+	33.2392i	0.622474	+	1.55487i	−0.196174	+	0.980569i	$0.562852\pi$
$458$	0.577607	+	12.1255i	0.0269898	+	0.566586i
$459$	−3.60296	−	6.96320i	−0.168172	−	0.325014i
$460$	2.29385	+	1.61935i	0.106951	+	0.0755026i
$461$		−	17.4446i		−	0.812478i	−0.913767	−	0.406239i	$-0.866840\pi$
$461$		−	17.4446i		−	0.812478i	0.913767	−	0.406239i	$-0.133160\pi$
$462$	1.57889	+	36.2322i	0.0734568	+	1.68567i
$463$	3.54175	−	24.6334i	0.164599	−	1.14481i	−0.725226	−	0.688511i	$-0.758265\pi$
$463$	3.54175	−	24.6334i	0.164599	−	1.14481i	0.889825	−	0.456301i	$-0.150826\pi$
$464$	−0.911782	−	9.54861i	−0.0423284	−	0.443283i
$465$	−21.4452	−	9.78079i	−0.994498	−	0.453573i
$466$	−16.9542	−	1.61893i	−0.785386	−	0.0749953i
$467$	−2.37265	+	6.85533i	−0.109793	+	0.317227i	−0.986491	−	0.163815i	$-0.947620\pi$
$467$	−2.37265	+	6.85533i	−0.109793	+	0.317227i	0.876698	+	0.481041i	$0.159741\pi$
$468$	−0.166993	+	0.691361i	−0.00771926	+	0.0319582i
$469$	−16.3710	−	11.7703i	−0.755942	−	0.543503i
$470$	−9.47538	+	10.9352i	−0.437067	+	0.504402i
$471$	−4.11992	+	17.0196i	−0.189836	+	0.784220i
$472$	21.2810	−	10.9711i	0.979539	−	0.504988i
$473$	14.2665	−	4.93768i	0.655973	−	0.227035i
$474$	−10.6364	+	0.511985i	−0.488546	+	0.0235162i
$475$	8.55482	−	1.23000i	0.392522	−	0.0564362i
$476$	−0.221086	+	1.48956i	−0.0101335	+	0.0682740i
$477$	−0.284199	−	5.84356i	−0.0130126	−	0.267558i
$478$	−14.3241	−	13.6580i	−0.655167	−	0.624701i
$479$	−16.1575	−	22.6900i	−0.738254	−	1.03673i	−0.997482	−	0.0709166i	$-0.977408\pi$
$479$	−16.1575	−	22.6900i	−0.738254	−	1.03673i	0.259228	−	0.965816i	$-0.416532\pi$
$480$	3.70508	+	4.27159i	0.169113	+	0.194971i
$481$	−0.225492	+	0.437394i	−0.0102816	+	0.0199434i
$482$	−31.5070			−1.43510
$483$	−9.12891	+	19.9916i	−0.415380	+	0.909648i
$484$	10.4097			0.473166
$485$	−6.37378	+	12.3634i	−0.289418	+	0.561393i
$486$	0.895466	−	19.8377i	0.0406192	−	0.899854i
$487$	16.6718	+	23.4122i	0.755470	+	1.06091i	0.995919	+	0.0902478i	$0.0287659\pi$
$487$	16.6718	+	23.4122i	0.755470	+	1.06091i	−0.240449	+	0.970662i	$0.577295\pi$
$488$	23.7598	+	22.6550i	1.07556	+	1.02554i
$489$	13.4858	−	3.27874i	0.609851	−	0.148270i
$490$	7.37627	+	11.7106i	0.333226	+	0.529030i
$491$	26.2503	−	3.77423i	1.18466	−	0.170328i	0.478310	−	0.878191i	$-0.341250\pi$
$491$	26.2503	−	3.77423i	1.18466	−	0.170328i	0.706350	+	0.707863i	$0.250340\pi$
$492$	−0.0776537	−	1.61324i	−0.00350090	−	0.0727305i
$493$	4.40725	−	1.52536i	0.198492	−	0.0686989i
$494$	2.37367	−	1.22371i	0.106796	−	0.0550573i
$495$	−11.9904	+	26.3246i	−0.538928	+	1.18320i
$496$	17.8181	−	20.5631i	0.800055	−	0.923313i
$497$	−4.25852	+	42.5510i	−0.191021	+	1.90868i
$498$	1.56734	−	33.2510i	0.0702341	−	1.49001i
$499$	6.94935	−	20.0788i	0.311096	−	0.898852i	−0.675742	−	0.737138i	$-0.736177\pi$
$499$	6.94935	−	20.0788i	0.311096	−	0.898852i	0.986838	−	0.161714i	$-0.0517021\pi$
$500$	−4.42429	−	0.422469i	−0.197860	−	0.0188934i
$501$	9.85936	−	21.6175i	0.440484	−	0.965798i
$502$	1.79756	+	18.8249i	0.0802292	+	0.840198i
$503$	−3.21163	+	22.3374i	−0.143200	+	0.995975i	0.783827	+	0.620979i	$0.213265\pi$
$503$	−3.21163	+	22.3374i	−0.143200	+	0.995975i	−0.927027	+	0.374996i	$0.877644\pi$
$504$	−14.9253	+	18.8410i	−0.664828	+	0.839245i
$505$			14.4528i			0.643140i
$506$	−33.8059	−	17.2536i	−1.50286	−	0.767015i
$507$	16.5070	+	14.2890i	0.733103	+	0.634598i
$508$	0.0626834	+	1.31589i	0.00278113	+	0.0583830i
$509$	10.2414	+	25.5817i	0.453941	+	1.13389i	0.962117	+	0.272636i	$0.0878955\pi$
$509$	10.2414	+	25.5817i	0.453941	+	1.13389i	−0.508176	+	0.861253i	$0.669680\pi$
$510$	2.99508	−	4.21043i	0.132624	−	0.186441i
$511$	0.998198	−	19.1242i	0.0441577	−	0.846003i
$512$	−23.0343	+	10.5194i	−1.01798	+	0.464897i
$513$	13.6080	−	10.7344i	0.600809	−	0.473936i
$514$	17.0518	+	6.82650i	0.752121	+	0.301104i
$515$	0.446248	+	0.468012i	0.0196640	+	0.0206231i
$516$	1.47430	+	0.589367i	0.0649022	+	0.0259454i
$517$	−24.5801	+	38.2474i	−1.08103	+	1.68212i
$518$	−2.08176	+	1.62185i	−0.0914674	+	0.0712598i
$519$	0.427785	−	0.336759i	0.0187777	−	0.0147821i
$520$	−2.87071	+	0.696426i	−0.125889	+	0.0305403i
$521$	−1.41135	−	0.565018i	−0.0618323	−	0.0247539i	0.340540	−	0.940230i	$-0.389390\pi$
$521$	−1.41135	−	0.565018i	−0.0618323	−	0.0247539i	−0.402372	+	0.915476i	$0.631814\pi$
$522$	11.6013	+	2.22399i	0.507777	+	0.0973413i
$523$	30.5098	+	21.7260i	1.33410	+	0.950010i	0.999972	+	0.00748295i	$0.00238192\pi$
$523$	30.5098	+	21.7260i	1.33410	+	0.950010i	0.334130	+	0.942527i	$0.391557\pi$
$524$	−0.205555	−	0.700056i	−0.00897971	−	0.0305821i
$525$	−1.08080	−	11.8246i	−0.0471699	−	0.516066i
$526$	33.8421	+	4.86576i	1.47559	+	0.212157i
$527$	11.7586	+	6.06200i	0.512214	+	0.264065i
$528$	−25.2470	−	21.8547i	−1.09874	−	0.951103i
$529$	−13.4941	−	18.6255i	−0.586699	−	0.809805i
$530$	3.33918	−	1.92788i	0.145045	−	0.0837416i
$531$	4.51202	+	23.2857i	0.195805	+	1.01051i
$532$	−3.32597	+	0.143276i	−0.144199	+	0.00621182i
$533$	1.41320	+	0.645387i	0.0612125	+	0.0279548i
$534$	−4.48486	−	6.29146i	−0.194079	−	0.272258i
$535$	−6.92349	−	0.661114i	−0.299329	−	0.0285824i
$536$	22.6614	−	4.36763i	0.978824	−	0.188653i
$537$	−0.336058	+	0.173462i	−0.0145020	+	0.00748543i
$538$	−24.9706	−	7.33202i	−1.07656	−	0.316106i
$539$	28.1782	+	33.1235i	1.21372	+	1.42673i
$540$	−2.76542	+	1.26792i	−0.119005	+	0.0545628i
$541$	0.351279	−	7.37425i	0.0151027	−	0.317044i	−0.978657	−	0.205501i	$-0.934118\pi$
$541$	0.351279	−	7.37425i	0.0151027	−	0.317044i	0.993760	−	0.111543i	$-0.0355793\pi$
$542$	−20.2172	+	6.99725i	−0.868404	+	0.300557i
$543$	−37.8505	+	24.3517i	−1.62432	+	1.04503i
$544$	−1.96187	−	2.49472i	−0.0841143	−	0.106960i
$545$	−5.91457	+	5.12501i	−0.253352	+	0.219531i
$546$	−1.51059	−	3.34349i	−0.0646471	−	0.143088i
$547$	−7.85270	+	2.30576i	−0.335757	+	0.0985873i	−0.445265	−	0.895399i	$-0.646891\pi$
$547$	−7.85270	+	2.30576i	−0.335757	+	0.0985873i	0.109508	+	0.993986i	$0.465072\pi$
$548$	−0.298291	+	0.0284833i	−0.0127424	+	0.00121675i
$549$	−28.1492	+	16.2894i	−1.20138	+	0.695214i
$550$	20.4827	−	0.975710i	0.873384	−	0.0416044i
$551$	5.15509	+	8.92888i	0.219614	+	0.380383i
$552$	−9.45618	−	23.3099i	−0.402482	−	0.992137i
$553$	−9.68809	+	8.31793i	−0.411979	+	0.353714i
$554$	2.99894	+	4.66644i	0.127413	+	0.198258i
$555$	−2.06664	+	0.399379i	−0.0877238	+	0.0169527i
$556$	−2.43575	−	3.42054i	−0.103299	−	0.145063i
$557$	3.36402	−	13.8667i	0.142538	−	0.587550i	−0.855075	−	0.518504i	$-0.826489\pi$
$557$	3.36402	−	13.8667i	0.142538	−	0.587550i	0.997613	−	0.0690460i	$-0.0219955\pi$
$558$	18.1437	+	28.1704i	0.768085	+	1.19255i
$559$	−1.15423	+	1.00014i	−0.0488186	+	0.0423016i
$560$	−12.5018	−	2.46855i	−0.528296	−	0.104315i
$561$	7.43241	−	14.4345i	0.313797	−	0.609426i
$562$	−2.23309	+	11.5864i	−0.0941974	+	0.488743i
$563$	22.0990	−	11.3928i	0.931364	−	0.480151i	0.0753803	−	0.997155i	$-0.475983\pi$
$563$	22.0990	−	11.3928i	0.931364	−	0.480151i	0.855983	+	0.517004i	$0.172953\pi$
$564$	−4.58719	+	1.34940i	−0.193156	+	0.0568201i
$565$	24.5440	+	4.73047i	1.03257	+	0.199012i
$566$	−11.1991	−	3.28834i	−0.470732	−	0.138219i
$567$	−13.7626	−	19.4317i	−0.577973	−	0.816056i
$568$	−32.0534	−	36.9916i	−1.34493	−	1.55213i
$569$	2.32710	−	3.26795i	0.0975570	−	0.137000i	−0.762912	−	0.646502i	$-0.776231\pi$
$569$	2.32710	−	3.26795i	0.0975570	−	0.137000i	0.860469	+	0.509502i	$0.170171\pi$
$570$	10.3929	+	4.74003i	0.435311	+	0.198538i
$571$	10.1877	−	7.25463i	0.426342	−	0.303597i	−0.346671	−	0.937987i	$-0.612688\pi$
$571$	10.1877	−	7.25463i	0.426342	−	0.303597i	0.773013	+	0.634390i	$0.218749\pi$
$572$	−1.36737	+	0.547411i	−0.0571724	+	0.0228884i
$573$	10.9335	+	27.2712i	0.456754	+	1.13927i
$574$	5.42723	+	6.32122i	0.226528	+	0.263843i
$575$	11.3245	+	5.11586i	0.472263	+	0.213346i
$576$	−3.82013	−	26.3829i	−0.159172	−	1.09929i
$577$	−1.98957	−	41.7663i	−0.0828271	−	1.73875i	−0.533267	−	0.845947i	$-0.679036\pi$
$577$	−1.98957	−	41.7663i	−0.0828271	−	1.73875i	0.450440	−	0.892807i	$-0.351267\pi$
$578$	11.5941	−	14.7431i	0.482252	−	0.613234i
$579$	−1.22908	+	12.9396i	−0.0510787	+	0.537752i
$580$	−0.509850	−	1.73639i	−0.0211704	−	0.0720996i
$581$	−23.0054	−	32.6195i	−0.954423	−	1.35329i
$582$	17.1199	−	9.89556i	0.709643	−	0.410184i
$583$	9.52334	−	7.48924i	0.394416	−	0.310172i
$584$	15.1259	+	15.8636i	0.625916	+	0.656441i
$585$	0.136330	−	2.92319i	0.00563654	−	0.120859i
$586$	−14.6026	−	0.695607i	−0.603227	−	0.0287352i
$587$	16.7373	−	26.0438i	0.690823	−	1.07494i	−0.301762	−	0.953383i	$-0.597575\pi$
$587$	16.7373	−	26.0438i	0.690823	−	1.07494i	0.992584	−	0.121558i	$-0.0387889\pi$
$588$	−0.0393269	+	4.57344i	−0.00162181	+	0.188605i
$589$	−8.23956	+	28.0614i	−0.339505	+	1.15625i
$590$	−12.2875	+	9.66300i	−0.505869	+	0.397819i
$591$	39.2003	−	0.0195279i	1.61249	−	0.000803270i
$592$	0.230968	−	2.41880i	0.00949272	−	0.0994123i
$593$	−16.9442	+	17.7705i	−0.695813	+	0.729748i	−0.972933	−	0.231088i	$-0.925772\pi$
$593$	−16.9442	+	17.7705i	−0.695813	+	0.729748i	0.277120	+	0.960835i	$0.410620\pi$
$594$	34.5611	−	22.2841i	1.41806	−	0.914329i
$595$	−0.266658	−	6.19010i	−0.0109319	−	0.253770i
$596$	3.03325	−	1.94935i	0.124247	−	0.0798485i
$597$	4.08808	+	11.7927i	0.167314	+	0.482644i
$598$	3.82371	+	0.349349i	0.156363	+	0.0142859i
$599$	−5.80140	−	3.34944i	−0.237039	−	0.136854i	0.376776	−	0.926304i	$-0.377033\pi$
$599$	−5.80140	−	3.34944i	−0.237039	−	0.136854i	−0.613815	+	0.789450i	$0.710366\pi$
$600$	10.6872	+	8.39590i	0.436303	+	0.342761i
$601$	0.891020	−	6.19718i	0.0363455	−	0.252788i	−0.963546	−	0.267544i	$-0.913788\pi$
$601$	0.891020	−	6.19718i	0.0363455	−	0.252788i	0.999891	+	0.0147557i	$0.00469705\pi$
$602$	−7.86886	+	2.27168i	−0.320711	+	0.0925868i
$603$	−2.15057	+	22.7614i	−0.0875779	+	0.926916i
$604$	4.39402	−	6.17054i	0.178790	−	0.251076i
$605$	−42.0559	+	8.10561i	−1.70982	+	0.329540i
$606$	11.0995	−	17.2901i	0.450885	−	0.702361i
$607$	8.57908	+	35.3634i	0.348214	+	1.43536i	0.829359	+	0.558716i	$0.188706\pi$
$607$	8.57908	+	35.3634i	0.348214	+	1.43536i	−0.481145	+	0.876641i	$0.659779\pi$
$608$	4.59462	−	5.30247i	0.186336	−	0.215044i
$609$	12.6162	−	6.43954i	0.511233	−	0.260943i
$610$	−18.0315	−	11.5881i	−0.730074	−	0.469190i
$611$	0.870449	−	4.51632i	0.0352146	−	0.182711i
$612$	1.58456	−	0.636195i	0.0640521	−	0.0257167i
$613$	8.52543	−	21.2955i	0.344339	−	0.860116i	−0.650580	−	0.759438i	$-0.725474\pi$
$613$	8.52543	−	21.2955i	0.344339	−	0.860116i	0.994919	−	0.100679i	$-0.0321015\pi$
$614$	−9.93376	−	3.43811i	−0.400894	−	0.138751i
$615$	1.56990	+	6.45716i	0.0633044	+	0.260378i
$616$	−49.7079	−	2.59454i	−2.00279	−	0.104537i
$617$	2.68424	−	5.87767i	0.108063	−	0.236626i	−0.847873	−	0.530199i	$-0.822117\pi$
$617$	2.68424	−	5.87767i	0.108063	−	0.236626i	0.955937	+	0.293573i	$0.0948444\pi$
$618$	−0.174428	−	0.902599i	−0.00701653	−	0.0363079i
$619$	10.0807	−	0.480205i	0.405179	−	0.0193011i	0.155996	−	0.987758i	$-0.450141\pi$
$619$	10.0807	−	0.480205i	0.405179	−	0.0193011i	0.249182	+	0.968457i	$0.419838\pi$
$620$	2.56670	−	4.44566i	0.103081	−	0.178542i
$621$	24.7934	−	2.50725i	0.994926	−	0.100613i
$622$	−15.0899			−0.605050
$623$	−8.87749	−	2.65059i	−0.355669	−	0.106193i
$624$	3.19287	+	1.10328i	0.127817	+	0.0441666i
$625$	5.30669	−	0.506728i	0.212268	−	0.0202691i
$626$	2.16822	−	8.93753i	0.0866595	−	0.357215i
$627$	34.4434	+	10.0949i	1.37554	+	0.403150i
$628$	−3.60401	−	1.24736i	−0.143816	−	0.0497750i
$629$	1.16937	−	0.168130i	0.0466259	−	0.00670379i
$630$	7.24052	−	13.9230i	0.288469	−	0.554705i
$631$	−29.7827	−	25.8068i	−1.18563	−	1.02735i	−0.998990	−	0.0449248i	$-0.985695\pi$
$631$	−29.7827	−	25.8068i	−1.18563	−	1.02735i	−0.186639	−	0.982429i	$-0.559759\pi$
$632$	0.695422	−	14.5987i	0.0276624	−	0.580706i
$633$	−11.4942	−	39.0737i	−0.456854	−	1.55304i
$634$	8.57312	+	24.7704i	0.340482	+	0.983759i
$635$	−1.27788	−	5.26748i	−0.0507110	−	0.209034i
$636$	1.27277	+	0.0599939i	0.0504685	+	0.00237891i
$637$	−3.89185	−	2.05142i	−0.154201	−	0.0812801i
$638$	10.1619	+	22.2514i	0.402312	+	0.880940i
$639$	44.0874	−	20.1871i	1.74407	−	0.798591i
$640$	8.99266	−	6.40364i	0.355466	−	0.253126i
$641$	30.0906	+	23.6635i	1.18851	+	0.934654i	0.998885	−	0.0472032i	$-0.0150308\pi$
$641$	30.0906	+	23.6635i	1.18851	+	0.934654i	0.189624	+	0.981857i	$0.439273\pi$
$642$	7.77495	+	6.10802i	0.306853	+	0.241064i
$643$			31.7895i			1.25366i	0.779157	+	0.626829i	$0.215647\pi$
$643$			31.7895i			1.25366i	−0.779157	+	0.626829i	$0.784353\pi$
$644$	−4.14408	−	2.39513i	−0.163300	−	0.0943813i
$645$	−6.41519	−	1.23311i	−0.252598	−	0.0485538i
$646$	−5.69854	−	2.93780i	−0.224206	−	0.115586i
$647$	−10.9388	+	13.9098i	−0.430049	+	0.546852i	−0.951990	−	0.306130i	$-0.900966\pi$
$647$	−10.9388	+	13.9098i	−0.430049	+	0.546852i	0.521941	+	0.852982i	$0.325208\pi$
$648$	26.9850	+	3.82499i	1.06007	+	0.150260i
$649$	−33.8952	+	35.5483i	−1.33050	+	1.39539i
$650$	−1.88701	+	0.861767i	−0.0740145	+	0.0338013i
$651$	37.9161	+	13.2951i	1.48605	+	0.521076i
$652$	0.430168	+	2.99188i	0.0168467	+	0.117171i
$653$	−8.61845	+	2.09081i	−0.337266	+	0.0818199i	−0.400815	−	0.916159i	$-0.631273\pi$
$653$	−8.61845	+	2.09081i	−0.337266	+	0.0818199i	0.0635493	+	0.997979i	$0.479758\pi$
$654$	11.0116	−	1.58883i	0.430588	−	0.0621281i
$655$	1.37557	+	2.66823i	0.0537478	+	0.104256i
$656$	−7.66242	−	0.365006i	−0.299167	−	0.0142511i
$657$	−19.2905	+	9.96928i	−0.752594	+	0.388939i
$658$	14.3985	−	20.0265i	0.561312	−	0.780713i
$659$	−6.72887	−	46.8004i	−0.262120	−	1.82308i	−0.516856	−	0.856072i	$-0.672898\pi$
$659$	−6.72887	−	46.8004i	−0.262120	−	1.82308i	0.254736	−	0.967011i	$-0.418011\pi$
$660$	−5.45751	−	3.14727i	−0.212433	−	0.122507i
$661$	−2.23148	+	23.3691i	−0.0867944	+	0.908952i	0.842275	+	0.539048i	$0.181216\pi$
$661$	−2.23148	+	23.3691i	−0.0867944	+	0.908952i	−0.929070	+	0.369905i	$0.879390\pi$
$662$	−34.9328	−	8.47459i	−1.35770	−	0.329374i
$663$	−0.155312	+	1.63511i	−0.00603184	+	0.0635026i
$664$	45.2224	+	6.50199i	1.75497	+	0.252326i
$665$	13.3256	−	3.16866i	0.516746	−	0.122875i
$666$	2.77906	+	1.10936i	0.107686	+	0.0429867i
$667$	−0.644793	+	14.8097i	−0.0249665	+	0.573435i
$668$	4.48137	+	2.58732i	0.173389	+	0.100106i
$669$	32.4396	+	4.64762i	1.25419	+	0.179687i
$670$	−13.9884	+	5.60011i	−0.540419	+	0.216351i
$671$	−61.2630	−	27.9779i	−2.36503	−	1.08007i
$672$	−6.94917	−	6.67996i	−0.268070	−	0.257685i
$673$	−9.83628	−	21.5384i	−0.379161	−	0.830246i	−0.998965	−	0.0454893i	$-0.985515\pi$
$673$	−9.83628	−	21.5384i	−0.379161	−	0.830246i	0.619804	−	0.784756i	$-0.287212\pi$
$674$	8.36870	−	24.1798i	0.322350	−	0.931370i
$675$	−10.9555	+	7.82608i	−0.421678	+	0.301226i
$676$	−3.44130	+	3.28127i	−0.132358	+	0.126203i
$677$	−47.7818	−	9.20919i	−1.83641	−	0.353938i	−0.851135	−	0.524946i	$-0.824085\pi$
$677$	−47.7818	−	9.20919i	−1.83641	−	0.353938i	−0.985270	+	0.171008i	$0.945298\pi$
$678$	−25.7294	−	24.5085i	−0.988132	−	0.941242i
$679$	8.91263	−	21.9725i	0.342035	−	0.843227i
$680$	5.35956	+	4.64408i	0.205530	+	0.178092i
$681$	−7.62889	+	0.367218i	−0.292340	+	0.0140718i
$682$	−25.7893	+	64.4187i	−0.987525	+	2.46672i
$683$	−1.15058	−	5.96980i	−0.0440259	−	0.228428i	0.953251	−	0.302181i	$-0.0977146\pi$
$683$	−1.15058	−	5.96980i	−0.0440259	−	0.228428i	−0.997277	+	0.0737526i	$0.976502\pi$
$684$	2.04397	+	3.17353i	0.0781533	+	0.121343i
$685$	1.18294	−	0.347343i	0.0451979	−	0.0132713i
$686$	−14.3296	−	18.7423i	−0.547106	−	0.715585i
$687$	5.39056	−	15.6002i	0.205663	−	0.595183i
$688$	3.45553	−	6.70278i	0.131741	−	0.255541i
$689$	−0.612825	+	1.06144i	−0.0233468	+	0.0404378i
$690$	8.94247	+	13.7754i	0.340434	+	0.524421i
$691$	−14.0970	−	24.4168i	−0.536276	−	0.928858i	−0.999100	−	0.0424079i	$-0.986497\pi$
$691$	−14.0970	−	24.4168i	−0.536276	−	0.928858i	0.462824	−	0.886450i	$-0.346836\pi$
$692$	0.0641051	+	0.0997494i	0.00243691	+	0.00379190i
$693$	16.2933	−	46.5407i	0.618929	−	1.76794i
$694$	1.04559	−	2.28952i	0.0396900	−	0.0869090i
$695$	12.5041	+	11.9226i	0.474307	+	0.452251i
$696$	−4.55989	+	15.5582i	−0.172842	+	0.589732i
$697$	−0.705864	−	3.66237i	−0.0267365	−	0.138722i
$698$	11.4899	+	14.6106i	0.434900	+	0.553021i
$699$	20.5879	+	10.6008i	0.778705	+	0.400959i
$700$	2.58599	+	0.0117624i	0.0977412	+	0.000444575i
$701$	17.9439	+	11.5319i	0.677733	+	0.435552i	0.833706	−	0.552209i	$-0.186215\pi$
$701$	17.9439	+	11.5319i	0.677733	+	0.435552i	−0.155973	+	0.987761i	$0.549851\pi$
$702$	−2.40805	+	3.39235i	−0.0908860	+	0.128036i
$703$	0.854211	+	2.46808i	0.0322172	+	0.0930854i
$704$	39.9534	−	38.0955i	1.50580	−	1.43578i
$705$	17.4819	−	9.02357i	0.658407	−	0.339847i
$706$	18.7373	+	21.6240i	0.705189	+	0.813831i
$707$	−2.23033	−	24.5359i	−0.0838801	−	0.922769i
$708$	−5.14211	+	0.493597i	−0.193252	+	0.0185505i
$709$	−1.16149	−	12.1636i	−0.0436205	−	0.456815i	−0.990724	−	0.135887i	$-0.956612\pi$
$709$	−1.16149	−	12.1636i	−0.0436205	−	0.456815i	0.947104	−	0.320927i	$-0.103995\pi$
$710$	25.1198	+	19.7545i	0.942731	+	0.741372i
$711$	13.6871	+	4.72187i	0.513305	+	0.177084i
$712$	9.18363	−	5.30217i	0.344171	−	0.198707i
$713$	−31.6659	+	27.6661i	−1.18590	+	1.03610i
$714$	−4.43489	+	7.61010i	−0.165971	+	0.284801i
$715$	5.09802	−	3.27630i	0.190655	−	0.122527i
$716$	−0.0306121	−	0.0764652i	−0.00114403	−	0.00285764i
$717$	11.1911	+	24.4729i	0.417941	+	0.913957i
$718$	23.7301	+	5.75687i	0.885601	+	0.214844i
$719$	−12.6462	−	9.00531i	−0.471623	−	0.335841i	0.319408	−	0.947617i	$-0.396516\pi$
$719$	−12.6462	−	9.00531i	−0.471623	−	0.335841i	−0.791031	+	0.611776i	$0.790455\pi$
$720$	4.73953	+	13.6499i	0.176632	+	0.508704i
$721$	−0.829802	−	0.725662i	−0.0309034	−	0.0270251i
$722$	−2.82588	+	9.62407i	−0.105168	+	0.358171i
$723$	39.7781	+	15.9018i	1.47937	+	0.591394i
$724$	−4.49163	−	8.71255i	−0.166930	−	0.323799i
$725$	−3.66992	−	7.11865i	−0.136297	−	0.264380i
$726$	56.5370	+	22.6013i	2.09829	+	0.838814i
$727$	−6.01221	+	20.4757i	−0.222980	+	0.759402i	0.769676	+	0.638435i	$0.220418\pi$
$727$	−6.01221	+	20.4757i	−0.222980	+	0.759402i	−0.992657	+	0.120967i	$0.961400\pi$
$728$	4.76602	−	1.62530i	0.176640	−	0.0602376i
$729$	−11.1427	+	24.5935i	−0.412694	+	0.910870i
$730$	−11.6572	−	8.30107i	−0.431453	−	0.307237i
$731$	3.56320	+	0.864423i	0.131790	+	0.0319718i
$732$	−2.94565	−	6.44158i	−0.108874	−	0.238088i
$733$	−12.0204	−	30.0255i	−0.443984	−	1.10902i	−0.966563	−	0.256427i	$-0.917455\pi$
$733$	−12.0204	−	30.0255i	−0.443984	−	1.10902i	0.522580	−	0.852590i	$-0.324970\pi$
$734$	33.4208	−	21.4783i	1.23359	−	0.792777i
$735$	−3.40228	−	18.5077i	−0.125495	−	0.682667i
$736$	9.66738	−	2.88159i	0.356344	−	0.106217i
$737$	−41.0021	+	23.6726i	−1.51033	+	0.871990i
$738$	3.08090	−	8.93045i	0.113409	−	0.328734i
$739$	−12.7718	−	10.0438i	−0.469817	−	0.369468i	0.355002	−	0.934866i	$-0.384480\pi$
$739$	−12.7718	−	10.0438i	−0.469817	−	0.369468i	−0.824819	+	0.565398i	$0.808723\pi$
$740$	−0.0435758	−	0.456346i	−0.00160188	−	0.0167756i
$741$	−3.61441	+	0.346952i	−0.132779	+	0.0127456i
$742$	−5.37130	+	3.78818i	−0.197187	+	0.139069i
$743$	10.2301	+	11.8062i	0.375306	+	0.433127i	0.911710	−	0.410835i	$-0.134763\pi$
$743$	10.2301	+	11.8062i	0.375306	+	0.433127i	−0.536403	+	0.843962i	$0.680217\pi$
$744$	−40.8662	+	21.0938i	−1.49823	+	0.773335i
$745$	−10.7367	+	10.2374i	−0.393362	+	0.375070i
$746$	−6.16549	−	17.8140i	−0.225735	−	0.652218i
$747$	−18.7608	+	41.1890i	−0.686422	+	1.50703i
$748$	2.97465	+	1.91169i	0.108764	+	0.0698984i
$749$	11.8558	+	0.0539260i	0.433201	+	0.00197041i
$750$	−23.1120	−	11.9005i	−0.843930	−	0.434544i
$751$	8.72127	+	11.0900i	0.318244	+	0.404680i	0.918686	−	0.394988i	$-0.129251\pi$
$751$	8.72127	+	11.0900i	0.318244	+	0.404680i	−0.600443	+	0.799668i	$0.705009\pi$
$752$	4.29797	+	22.3000i	0.156731	+	0.813197i
$753$	7.23162	−	24.6741i	0.263535	−	0.899174i
$754$	−1.79101	−	1.70773i	−0.0652249	−	0.0621918i
$755$	−12.9474	+	28.3509i	−0.471206	+	1.03180i
$756$	4.49909	−	2.57926i	0.163630	−	0.0938069i
$757$	−12.1842	−	18.9589i	−0.442841	−	0.689074i	0.546044	−	0.837756i	$-0.316133\pi$
$757$	−12.1842	−	18.9589i	−0.442841	−	0.689074i	−0.988885	+	0.148683i	$0.952497\pi$
$758$	14.3043	+	24.7758i	0.519557	+	0.899899i
$759$	33.9727	+	38.8451i	1.23313	+	1.40999i
$760$	−7.83885	+	13.5773i	−0.284345	+	0.492500i
$761$	9.28747	−	18.0152i	0.336671	−	0.653050i	−0.658351	−	0.752711i	$-0.728746\pi$
$761$	9.28747	−	18.0152i	0.336671	−	0.653050i	0.995021	+	0.0996613i	$0.0317759\pi$
$762$	−2.51659	+	7.28295i	−0.0911664	+	0.263833i
$763$	9.25007	−	9.61326i	0.334875	−	0.348023i
$764$	−6.13977	+	1.80280i	−0.222129	+	0.0652230i
$765$	−5.90638	+	3.80412i	−0.213546	+	0.137538i
$766$	3.21739	+	16.6934i	0.116249	+	0.603157i
$767$	1.84679	−	4.61306i	0.0666837	−	0.166568i
$768$	15.0706	−	0.725425i	0.543813	−	0.0261765i
$769$	−0.0771464	−	0.0668477i	−0.00278197	−	0.00241059i	0.653469	−	0.756954i	$-0.273313\pi$
$769$	−0.0771464	−	0.0668477i	−0.00278197	−	0.00241059i	−0.656251	+	0.754543i	$0.727859\pi$
$770$	32.1879	−	4.47859i	1.15997	−	0.161397i
$771$	−18.0828	−	17.2247i	−0.651236	−	0.620334i
$772$	−2.77966	−	0.535735i	−0.100042	−	0.0192815i
$773$	−13.4983	+	12.8706i	−0.485500	+	0.462923i	−0.892853	−	0.450348i	$-0.851300\pi$
$773$	−13.4983	+	12.8706i	−0.485500	+	0.462923i	0.407354	+	0.913270i	$0.366452\pi$
$774$	6.72757	+	6.40194i	0.241818	+	0.230113i
$775$	7.43044	−	21.4689i	0.266909	−	0.771184i
$776$	11.2743	+	24.6872i	0.404722	+	0.886218i
$777$	3.44682	−	0.996932i	0.123654	−	0.0357647i
$778$	−2.96804	−	1.35546i	−0.106409	−	0.0485956i
$779$	7.65479	−	3.06452i	0.274261	−	0.109798i
$780$	0.630893	+	0.0903880i	0.0225896	+	0.00323641i
$781$	86.9608	+	50.2069i	3.11170	+	1.79654i
$782$	−4.64158	−	7.96406i	−0.165982	−	0.284794i
$783$	−13.5244	−	8.66310i	−0.483324	−	0.309594i
$784$	21.6047	+	2.26151i	0.771597	+	0.0807681i
$785$	15.5318	+	2.23313i	0.554352	+	0.0797038i
$786$	0.403542	−	4.24845i	0.0143939	−	0.151537i
$787$	−16.7060	−	4.05282i	−0.595503	−	0.144467i	−0.0733309	−	0.997308i	$-0.523363\pi$
$787$	−16.7060	−	4.05282i	−0.595503	−	0.144467i	−0.522172	+	0.852840i	$0.674878\pi$
$788$	−0.811539	+	8.49882i	−0.0289099	+	0.302758i
$789$	−40.2706	−	23.2235i	−1.43367	−	0.826778i
$790$	1.35799	+	9.44504i	0.0483152	+	0.336040i
$791$	−42.3974	−	4.24315i	−1.50748	−	0.150869i
$792$	25.9124	+	50.1402i	0.920755	+	1.78166i
$793$	6.80565	+	0.324193i	0.241676	+	0.0115124i
$794$	−20.4923	−	39.7495i	−0.727245	−	1.41066i
$795$	−5.18879	+	0.748675i	−0.184028	+	0.0265527i
$796$	−2.64167	+	0.640862i	−0.0936315	+	0.0227147i
$797$	1.36822	+	9.51618i	0.0484649	+	0.337081i	0.999599	+	0.0283037i	$0.00901054\pi$
$797$	1.36822	+	9.51618i	0.0484649	+	0.337081i	−0.951135	+	0.308777i	$0.900080\pi$
$798$	−18.3751	−	6.44315i	−0.650473	−	0.228085i
$799$	−10.0442	+	4.58702i	−0.355338	+	0.162277i
$800$	−3.76105	+	3.94448i	−0.132973	+	0.139458i
$801$	2.48687	+	10.2066i	0.0878693	+	0.360634i
$802$	4.18109	−	5.31668i	0.147639	−	0.187739i
$803$	−39.9681	−	20.6050i	−1.41044	−	0.727133i
$804$	−4.88979	−	0.939904i	−0.172450	−	0.0331478i
$805$	18.6074	+	6.44967i	0.655826	+	0.227321i
$806$		−	7.01973i		−	0.247259i
$807$	27.8253	+	21.8596i	0.979497	+	0.769496i
$808$	22.1662	+	17.4317i	0.779806	+	0.613246i
$809$	12.4354	−	8.85518i	0.437204	−	0.311332i	−0.340177	−	0.940361i	$-0.610487\pi$
$809$	12.4354	−	8.85518i	0.437204	−	0.311332i	0.777381	+	0.629030i	$0.216548\pi$
$810$	−17.7725	+	0.882105i	−0.624461	+	0.0309940i
$811$	−7.70353	−	16.8684i	−0.270507	−	0.592329i	0.724814	−	0.688944i	$-0.241926\pi$
$811$	−7.70353	−	16.8684i	−0.270507	−	0.592329i	−0.995322	+	0.0966156i	$0.969198\pi$
$812$	1.13351	+	2.86912i	0.0397784	+	0.100687i
$813$	29.0562	+	1.36961i	1.01904	+	0.0480343i
$814$	1.46090	+	6.02190i	0.0512044	+	0.211068i
$815$	−4.06758	−	11.7525i	−0.142481	−	0.411672i
$816$	−2.28872	−	7.78031i	−0.0801211	−	0.272365i
$817$	−0.385683	+	8.09649i	−0.0134934	+	0.283260i
$818$	9.69926	+	8.40446i	0.339127	+	0.293855i
$819$	0.219660	+	4.98363i	0.00767553	+	0.174142i
$820$	−1.43255	+	0.205969i	−0.0500267	+	0.00719275i
$821$	0.482893	+	0.167131i	0.0168531	+	0.00583291i	0.335482	−	0.942047i	$-0.391101\pi$
$821$	0.482893	+	0.167131i	0.0168531	+	0.00583291i	−0.318628	+	0.947880i	$0.603222\pi$
$822$	−1.68192	−	0.492947i	−0.0586638	−	0.0171935i
$823$	13.0483	−	53.7857i	0.454834	−	1.87485i	−0.0288089	−	0.999585i	$-0.509171\pi$
$823$	13.0483	−	53.7857i	0.454834	−	1.87485i	0.483643	−	0.875266i	$-0.339313\pi$
$824$	1.25602	−	0.119935i	0.0437554	−	0.00417814i
$825$	−26.3522	−	9.10590i	−0.917467	−	0.317027i
$826$	19.3689	−	18.3007i	0.673929	−	0.636763i
$827$	−36.7198			−1.27687			−0.638437	−	0.769674i	$-0.720419\pi$
$827$	−36.7198			−1.27687			−0.638437	+	0.769674i	$0.720419\pi$
$828$	0.0275990	+	5.42725i	0.000959131	+	0.188610i
$829$	1.89695	−	3.28562i	0.0658839	−	0.114114i	−0.831202	−	0.555971i	$-0.812347\pi$
$829$	1.89695	−	3.28562i	0.0658839	−	0.114114i	0.897086	+	0.441856i	$0.145680\pi$
$830$	−29.7951	+	1.41931i	−1.03420	+	0.0492651i
$831$	−1.43103	−	7.40506i	−0.0496420	−	0.256879i
$832$	−2.31999	+	5.08007i	−0.0804312	+	0.176120i
$833$	1.40794	+	10.4676i	0.0487823	+	0.362680i
$834$	−5.80245	−	23.8661i	−0.200922	−	0.826416i
$835$	−20.1198	−	6.96351i	−0.696273	−	0.240982i
$836$	−2.90529	+	7.25705i	−0.100481	+	0.250990i
$837$	−8.68899	−	44.7230i	−0.300335	−	1.54585i
$838$	−5.60262	+	29.0692i	−0.193539	+	1.00418i
$839$	22.6309	+	14.5440i	0.781305	+	0.502114i	0.869466	−	0.493992i	$-0.164463\pi$
$839$	22.6309	+	14.5440i	0.781305	+	0.502114i	−0.0881615	+	0.996106i	$0.528099\pi$
$840$	18.0722	+	11.7180i	0.623550	+	0.404309i
$841$	−12.7344	+	14.6963i	−0.439116	+	0.506767i
$842$	6.04879	+	24.9334i	0.208455	+	0.859263i
$843$	8.66706	−	13.5010i	0.298509	−	0.464999i
$844$	8.71014	−	1.67874i	0.299816	−	0.0577847i
$845$	11.3481	−	15.9362i	0.390387	−	0.548222i
$846$	−27.8438	−	2.63077i	−0.957289	−	0.0904477i
$847$	70.1459	−	20.2506i	2.41024	−	0.695819i
$848$	0.861265	−	5.99023i	0.0295760	−	0.205705i
$849$	12.4794	+	9.80385i	0.428292	+	0.336467i
$850$	4.31303	+	2.49013i	0.147936	+	0.0854108i
$851$	−0.870364	+	3.65281i	−0.0298357	+	0.125217i
$852$	3.45899	+	9.97800i	0.118503	+	0.341841i
$853$	39.3104	−	25.2633i	1.34596	−	0.864997i	0.348578	−	0.937280i	$-0.386665\pi$
$853$	39.3104	−	25.2633i	1.34596	−	0.864997i	0.997384	+	0.0722825i	$0.0230283\pi$
$854$	32.3997	+	16.8902i	1.10869	+	0.577969i
$855$	−10.7289	−	11.2297i	−0.366921	−	0.384049i
$856$	−9.36449	+	9.82119i	−0.320072	+	0.335681i
$857$	2.07705	−	21.7518i	0.0709505	−	0.743028i	−0.888073	−	0.459702i	$-0.847956\pi$
$857$	2.07705	−	21.7518i	0.0709505	−	0.743028i	0.959024	−	0.283326i	$-0.0914377\pi$
$858$	−8.61498	+	0.00429160i	−0.294110	+	0.000146513i
$859$	−5.98903	+	4.70983i	−0.204343	+	0.160697i	−0.715086	−	0.699036i	$-0.753613\pi$
$859$	−5.98903	+	4.70983i	−0.204343	+	0.160697i	0.510743	+	0.859733i	$0.329370\pi$
$860$	0.400834	−	1.36512i	0.0136683	−	0.0465501i
$861$	−3.66162	−	10.7198i	−0.124788	−	0.365331i
$862$	−6.84854	+	10.6565i	−0.233262	+	0.362963i
$863$	14.2718	+	0.679848i	0.485816	+	0.0231423i	0.289062	−	0.957310i	$-0.406657\pi$
$863$	14.2718	+	0.679848i	0.485816	+	0.0231423i	0.196755	+	0.980453i	$0.436960\pi$
$864$	−2.56091	+	10.6255i	−0.0871239	+	0.361487i
$865$	−0.336661	−	0.353080i	−0.0114468	−	0.0120051i
$866$	23.2596	−	18.2916i	0.790395	−	0.621573i
$867$	−22.0788	+	12.7619i	−0.749835	+	0.433415i
$868$	−3.67135	+	7.94332i	−0.124614	+	0.269614i
$869$	8.44719	+	28.7685i	0.286551	+	0.975904i
$870$	1.00093	−	10.5377i	0.0339346	−	0.357260i
$871$	2.96077	−	3.76492i	0.100322	−	0.127570i
$872$	0.726568	+	15.2525i	0.0246047	+	0.516516i
$873$	−26.6086	+	3.85280i	−0.900564	+	0.130398i
$874$	15.3461	−	13.4077i	0.519090	−	0.453523i
$875$	−30.6351	+	5.76004i	−1.03566	+	0.194725i
$876$	−1.75984	−	4.38953i	−0.0594595	−	0.148309i
$877$	49.1806	−	19.6889i	1.66071	−	0.664849i	0.664142	−	0.747607i	$-0.268797\pi$
$877$	49.1806	−	19.6889i	1.66071	−	0.664849i	0.996570	+	0.0827580i	$0.0263729\pi$
$878$	10.3683	−	7.38324i	0.349913	−	0.249172i
$879$	18.0850	+	8.24824i	0.609991	+	0.278206i
$880$	−17.3566	+	24.3740i	−0.585092	+	0.821647i
$881$	−34.8676	−	40.2393i	−1.17472	−	1.35570i	−0.921543	−	0.388276i	$-0.873071\pi$
$881$	−34.8676	−	40.2393i	−1.17472	−	1.35570i	−0.253175	−	0.967420i	$-0.581475\pi$
$882$	−10.1434	+	24.7539i	−0.341546	+	0.833507i
$883$	−44.1471	−	12.9628i	−1.48567	−	0.436232i	−0.564512	−	0.825425i	$-0.690936\pi$
$883$	−44.1471	−	12.9628i	−1.48567	−	0.436232i	−0.921156	+	0.389193i	$0.872754\pi$
$884$	−0.351251	−	0.0676981i	−0.0118139	−	0.00227693i
$885$	20.3902	−	5.99814i	0.685409	−	0.201625i
$886$	−5.59689	+	2.88540i	−0.188031	+	0.0969368i
$887$	−0.0317270	+	0.164615i	−0.00106529	+	0.00552725i	−0.982457	−	0.186487i	$-0.940290\pi$
$887$	−0.0317270	+	0.164615i	−0.00106529	+	0.00552725i	0.981392	+	0.192014i	$0.0615019\pi$
$888$	−1.88007	+	3.65130i	−0.0630912	+	0.122530i
$889$	2.98227	+	8.74521i	0.100022	+	0.293305i
$890$	−5.23241	+	4.53391i	−0.175391	+	0.151977i
$891$	−54.8811	+	10.6909i	−1.83858	+	0.358159i
$892$	−1.68266	+	6.93600i	−0.0563395	+	0.232235i
$893$	−14.1596	−	19.8844i	−0.473833	−	0.665405i
$894$	20.7066	−	4.00157i	0.692532	−	0.133833i
$895$	0.183216	+	0.285089i	0.00612423	+	0.00952949i
$896$	−14.2783	+	12.2590i	−0.477005	+	0.409543i
$897$	−4.65119	−	2.37091i	−0.155299	−	0.0791624i
$898$	−21.2484	−	36.8033i	−0.709069	−	1.22814i
$899$	27.0705	−	1.28953i	0.902853	−	0.0430082i
$900$	−1.46866	−	2.53796i	−0.0489554	−	0.0845985i
$901$	2.92914	−	0.279699i	0.0975837	−	0.00931811i
$902$	18.7707	−	5.51157i	0.624995	−	0.183515i
$903$	11.0811	+	1.10343i	0.368757	+	0.0367198i
$904$	36.8580	−	31.9377i	1.22588	−	1.06223i
$905$	24.9307	+	31.7019i	0.828724	+	1.05381i
$906$	37.2622	−	23.9732i	1.23795	−	0.796457i
$907$	−52.2749	+	18.0925i	−1.73576	+	0.600752i	−0.997292	−	0.0735395i	$-0.976571\pi$
$907$	−52.2749	+	18.0925i	−1.73576	+	0.600752i	−0.738466	+	0.674291i	$0.764449\pi$
$908$	0.0791490	−	1.66154i	0.00262665	−	0.0551402i
$909$	−22.7397	+	16.2270i	−0.754229	+	0.538217i
$910$	−2.85463	+	1.63086i	−0.0946302	+	0.0540624i
$911$	−20.1370	−	5.91275i	−0.667168	−	0.195898i	−0.0694263	−	0.997587i	$-0.522117\pi$
$911$	−20.1370	−	5.91275i	−0.667168	−	0.195898i	−0.597741	+	0.801689i	$0.703935\pi$
$912$	15.9316	−	8.22336i	0.527548	−	0.272303i
$913$	−92.0332	+	17.7379i	−3.04585	+	0.587040i
$914$	−45.4035	−	4.33550i	−1.50181	−	0.143406i
$915$	16.9165	+	23.7309i	0.559242	+	0.784518i
$916$	3.26984	+	1.49329i	0.108039	+	0.0493396i
$917$	−2.74701	−	4.31748i	−0.0907141	−	0.142576i
$918$	9.98738	−	0.0149258i	0.329633	−	0.000492626i
$919$	13.9480	−	8.05286i	0.460101	−	0.265639i	−0.251986	−	0.967731i	$-0.581084\pi$
$919$	13.9480	−	8.05286i	0.460101	−	0.265639i	0.712087	+	0.702092i	$0.247750\pi$
$920$	−19.9929	+	10.4107i	−0.659145	+	0.343232i
$921$	10.8063	+	9.35432i	0.356081	+	0.308235i
$922$	19.7521	+	10.1829i	0.650500	+	0.335356i
$923$	−10.0549	−	1.44568i	−0.330962	−	0.0475851i
$924$	9.75070	+	4.50081i	0.320774	+	0.148066i
$925$	−0.571576	−	1.94661i	−0.0187933	−	0.0640041i
$926$	25.8243	+	18.3894i	0.848639	+	0.604313i
$927$	−0.235329	+	1.22758i	−0.00772923	+	0.0403192i
$928$	−6.03591	−	2.41641i	−0.198138	−	0.0793227i
$929$	47.0750	−	11.4203i	1.54448	−	0.374687i	0.629115	−	0.777312i	$-0.283417\pi$
$929$	47.0750	−	11.4203i	1.54448	−	0.374687i	0.915365	+	0.402625i	$0.131902\pi$
$930$	23.5926	−	18.5725i	0.773633	−	0.609016i
$931$	−22.1335	+	7.43571i	−0.725396	+	0.243696i
$932$	−2.72663	+	4.24273i	−0.0893139	+	0.138975i
$933$	19.0513	+	7.61598i	0.623711	+	0.249336i
$934$	−6.37711	−	6.68813i	−0.208666	−	0.218842i
$935$	−13.5064	−	5.40714i	−0.441706	−	0.176833i
$936$	−4.31887	−	3.73479i	−0.141167	−	0.122076i
$937$	11.9433	−	5.45433i	0.390171	−	0.178185i	−0.210663	−	0.977559i	$-0.567562\pi$
$937$	11.9433	−	5.45433i	0.390171	−	0.178185i	0.600834	+	0.799373i	$0.294835\pi$
$938$	22.8834	−	11.6658i	0.747169	−	0.380901i
$939$	−7.24825	+	10.1895i	−0.236538	+	0.332521i
$940$	1.59246	+	3.97776i	0.0519402	+	0.129740i
$941$	−0.698589	−	14.6652i	−0.0227733	−	0.478071i	−0.981231	−	0.192836i	$-0.938231\pi$
$941$	−0.698589	−	14.6652i	−0.0227733	−	0.478071i	0.958458	−	0.285235i	$-0.0920716\pi$
$942$	−16.8659	−	14.5996i	−0.549519	−	0.475682i
$943$	11.6499	+	2.19597i	0.379374	+	0.0715108i
$944$			24.5352i			0.798552i
$945$	−16.1683	+	13.9237i	−0.525956	+	0.452938i
$946$	−2.73693	+	19.0358i	−0.0889853	+	0.618906i
$947$	−0.974861	−	10.2092i	−0.0316787	−	0.331755i	−0.997394	−	0.0721503i	$-0.977014\pi$
$947$	−0.974861	−	10.2092i	−0.0316787	−	0.331755i	0.965715	−	0.259604i	$-0.0835922\pi$
$948$	−1.30851	+	2.86901i	−0.0424984	+	0.0931812i
$949$	4.52845	+	0.432415i	0.147000	+	0.0140368i
$950$	−3.60099	+	10.4044i	−0.116831	+	0.337562i
$951$	1.67806	−	35.6000i	0.0544150	−	1.15441i
$952$	−9.81539	−	7.05701i	−0.318119	−	0.228719i
$953$	−28.0728	+	32.3977i	−0.909367	+	1.04947i	0.0892036	+	0.996013i	$0.471568\pi$
$953$	−28.0728	+	32.3977i	−0.909367	+	1.04947i	−0.998570	+	0.0534519i	$0.982978\pi$
$954$	6.78240	+	3.08925i	0.219588	+	0.100018i
$955$	23.4014	−	12.0643i	0.757252	−	0.390390i
$956$	−5.53848	+	1.91688i	−0.179127	+	0.0619965i
$957$	−1.59913	−	33.2216i	−0.0516924	−	1.07390i
$958$	35.1228	−	5.04989i	1.13477	−	0.163155i
$959$	−1.95463	+	0.772221i	−0.0631184	+	0.0249363i
$960$	−23.2118	+	5.64336i	−0.749157	+	0.182139i
$961$	33.2018	+	31.6579i	1.07103	+	1.02122i
$962$	−0.363623	−	0.510637i	−0.0117237	−	0.0164636i
$963$	−6.73326	−	11.6356i	−0.216976	−	0.374951i
$964$	−4.27521	+	8.29276i	−0.137695	+	0.267092i
$965$	11.6472			0.374936
$966$	−17.3071	−	22.0060i	−0.556847	−	0.708032i
$967$	−33.4957			−1.07715			−0.538574	−	0.842578i	$-0.681037\pi$
$967$	−33.4957			−1.07715			−0.538574	+	0.842578i	$0.681037\pi$
$968$	−38.2927	+	74.2775i	−1.23077	+	2.38737i
$969$	5.71179	+	6.58513i	0.183489	+	0.211545i
$970$	−10.2782	−	14.4337i	−0.330013	−	0.463438i
$971$	18.2545	+	17.4056i	0.585814	+	0.558572i	0.923944	−	0.382527i	$-0.124946\pi$
$971$	18.2545	+	17.4056i	0.585814	+	0.558572i	−0.338131	+	0.941099i	$0.609795\pi$
$972$	−5.09984	−	2.92748i	−0.163578	−	0.0938991i
$973$	−23.0676	−	18.3110i	−0.739514	−	0.587024i
$974$	−36.2408	+	5.21063i	−1.16123	+	0.166960i
$975$	2.81732	−	0.135612i	0.0902266	−	0.00434307i
$976$	−31.7917	+	11.0032i	−1.01763	+	0.352205i
$977$	15.9766	−	8.23651i	0.511137	−	0.263509i	−0.183308	−	0.983056i	$-0.558680\pi$
$977$	15.9766	−	8.23651i	0.511137	−	0.263509i	0.694444	+	0.719546i	$0.255650\pi$
$978$	−4.15961	+	17.1835i	−0.133010	+	0.549468i
$979$	−14.2463	+	16.4411i	−0.455313	+	0.525459i
$980$	4.08317	−	0.352444i	0.130432	−	0.0112584i
$981$	−14.7043	−	3.55170i	−0.469471	−	0.113397i
$982$	−11.0496	+	31.9256i	−0.352606	+	1.01879i
$983$	16.7911	+	1.60336i	0.535553	+	0.0511392i	0.359329	−	0.933211i	$-0.383006\pi$
$983$	16.7911	+	1.60336i	0.535553	+	0.0511392i	0.176224	+	0.984350i	$0.443612\pi$
$984$	11.7968	+	5.38033i	0.376069	+	0.171519i
$985$	−3.33902	−	34.9678i	−0.106390	−	1.11417i
$986$	−0.845502	+	5.88060i	−0.0269263	+	0.187276i
$987$	−28.2859	+	18.0168i	−0.900350	+	0.573480i
$988$		−	0.790805i		−	0.0251588i
$989$	−6.72120	+	9.52076i	−0.213722	+	0.302742i
$990$	−22.8075	−	28.9428i	−0.724871	−	0.919861i
$991$	0.0361444	+	0.758765i	0.00114817	+	0.0241030i	0.999369	−	0.0355270i	$-0.0113110\pi$
$991$	0.0361444	+	0.758765i	0.00114817	+	0.0241030i	−0.998221	+	0.0596299i	$0.981008\pi$
$992$	−6.85443	−	17.1215i	−0.217628	−	0.543610i
$993$	39.8261	+	28.3301i	1.26384	+	0.899030i
$994$	−45.6935	−	29.6600i	−1.44931	−	0.940757i
$995$	10.1735	−	4.64610i	0.322523	−	0.147291i
$996$	−8.53912	−	4.92439i	−0.270572	−	0.156035i
$997$	−22.5672	−	9.03456i	−0.714712	−	0.286127i	−0.0143315	−	0.999897i	$-0.504562\pi$
$997$	−22.5672	−	9.03456i	−0.714712	−	0.286127i	−0.700380	+	0.713770i	$0.746986\pi$
$998$	18.6782	+	19.5891i	0.591247	+	0.620082i
$999$	−2.94872	−	2.80320i	−0.0932934	−	0.0886892i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bc.a.11.17	✓	1200
3.2	odd	2	inner	483.2.bc.a.11.44	yes	1200
7.2	even	3	inner	483.2.bc.a.149.44	yes	1200
21.2	odd	6	inner	483.2.bc.a.149.17	yes	1200
23.21	odd	22	inner	483.2.bc.a.389.17	yes	1200
69.44	even	22	inner	483.2.bc.a.389.44	yes	1200
161.44	odd	66	inner	483.2.bc.a.44.44	yes	1200
483.44	even	66	inner	483.2.bc.a.44.17	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bc.a.11.17	✓	1200	1.1	even	1	trivial
483.2.bc.a.11.44	yes	1200	3.2	odd	2	inner
483.2.bc.a.44.17	yes	1200	483.44	even	66	inner
483.2.bc.a.44.44	yes	1200	161.44	odd	66	inner
483.2.bc.a.149.17	yes	1200	21.2	odd	6	inner
483.2.bc.a.149.44	yes	1200	7.2	even	3	inner
483.2.bc.a.389.17	yes	1200	23.21	odd	22	inner
483.2.bc.a.389.44	yes	1200	69.44	even	22	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bc (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.583726 + 1.13227i) q^{2} +(1.30843 - 1.13490i) q^{3} +(0.218812 + 0.307278i) q^{4} +(-1.12328 - 1.07105i) q^{5} +(0.521253 + 2.14397i) q^{6} +(2.07224 + 1.64494i) q^{7} +(-2.99748 + 0.430973i) q^{8} +(0.423986 - 2.96989i) q^{9} +O(q^{10})\)	\(q+(-0.583726 + 1.13227i) q^{2} +(1.30843 - 1.13490i) q^{3} +(0.218812 + 0.307278i) q^{4} +(-1.12328 - 1.07105i) q^{5} +(0.521253 + 2.14397i) q^{6} +(2.07224 + 1.64494i) q^{7} +(-2.99748 + 0.430973i) q^{8} +(0.423986 - 2.96989i) q^{9} +(1.86841 - 0.646663i) q^{10} +(5.52191 - 2.84674i) q^{11} +(0.635032 + 0.153722i) q^{12} +(-0.411572 + 0.474979i) q^{13} +(-3.07214 + 1.38615i) q^{14} +(-2.68528 - 0.126575i) q^{15} +(1.01497 - 2.93258i) q^{16} +(1.50200 + 0.143424i) q^{17} +(3.11523 + 2.21367i) q^{18} +(0.317068 + 3.32048i) q^{19} +(0.0833222 - 0.579519i) q^{20} +(4.57823 - 0.199506i) q^{21} +7.91401i q^{22} +(-2.18013 + 4.27166i) q^{23} +(-3.43288 + 3.96575i) q^{24} +(-0.123289 - 2.58815i) q^{25} +(-0.297560 - 0.743269i) q^{26} +(-2.81578 - 4.36708i) q^{27} +(-0.0520227 + 0.996686i) q^{28} +(2.81164 - 1.28403i) q^{29} +(1.71078 - 2.96658i) q^{30} +(8.13982 + 3.25869i) q^{31} +(-1.45153 - 1.52232i) q^{32} +(3.99426 - 9.99160i) q^{33} +(-1.03915 + 1.61695i) q^{34} +(-0.565906 - 4.06720i) q^{35} +(1.00536 - 0.519565i) q^{36} +(0.760916 - 0.184596i) q^{37} +(-3.94477 - 1.57925i) q^{38} +(0.000542279 + 1.08857i) q^{39} +(3.82861 + 2.72634i) q^{40} +(-0.696431 - 2.37183i) q^{41} +(-2.44654 + 5.30026i) q^{42} +(2.40532 + 0.345833i) q^{43} +(2.08300 + 1.07386i) q^{44} +(-3.65715 + 2.88192i) q^{45} +(-3.56407 - 4.96198i) q^{46} +(-6.33780 + 3.65913i) q^{47} +(-2.00017 - 4.98897i) q^{48} +(1.58836 + 6.81741i) q^{49} +(3.00246 + 1.37118i) q^{50} +(2.12804 - 1.51697i) q^{51} +(-0.236008 - 0.0225360i) q^{52} +(1.91492 - 0.369070i) q^{53} +(6.58836 - 0.639050i) q^{54} +(-9.25167 - 2.71653i) q^{55} +(-6.92042 - 4.03759i) q^{56} +(4.18329 + 3.98478i) q^{57} +(-0.187355 + 3.93307i) q^{58} +(-7.47144 + 2.58589i) q^{59} +(-0.548677 - 0.852824i) q^{60} +(-6.70139 - 8.52151i) q^{61} +(-8.44115 + 7.31430i) q^{62} +(5.76388 - 5.45689i) q^{63} +(8.52608 - 2.50348i) q^{64} +(0.971038 - 0.0927229i) q^{65} +(8.98165 + 10.3549i) q^{66} +(-7.61229 + 0.362618i) q^{67} +(0.284585 + 0.492915i) q^{68} +(1.99537 + 8.06341i) q^{69} +(4.93551 + 1.73338i) q^{70} +(8.73845 + 13.5973i) q^{71} +(0.00905140 + 9.08491i) q^{72} +(-4.19850 - 5.89597i) q^{73} +(-0.235154 + 0.969317i) q^{74} +(-3.09862 - 3.24650i) q^{75} +(-0.950934 + 0.823989i) q^{76} +(16.1254 + 3.18406i) q^{77} +(-1.23288 - 0.634814i) q^{78} +(-0.913369 + 4.73901i) q^{79} +(-4.28104 + 2.20703i) q^{80} +(-8.64047 - 2.51838i) q^{81} +(3.09208 + 0.595949i) q^{82} +(-14.4757 - 4.25044i) q^{83} +(1.06308 + 1.36314i) q^{84} +(-1.53356 - 1.76982i) q^{85} +(-1.79563 + 2.52161i) q^{86} +(2.22159 - 4.87101i) q^{87} +(-15.3249 + 10.9128i) q^{88} +(-3.25091 + 1.30147i) q^{89} +(-1.12834 - 5.82314i) q^{90} +(-1.63419 + 0.307261i) q^{91} +(-1.78962 + 0.264783i) q^{92} +(14.3487 - 4.97414i) q^{93} +(-0.443587 - 9.31204i) q^{94} +(3.20024 - 4.06944i) q^{95} +(-3.62692 - 0.344506i) q^{96} +(-2.52489 - 8.59900i) q^{97} +(-8.64633 - 2.18105i) q^{98} +(-6.11329 - 17.6064i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28} - 55 q^{30} - 18 q^{31} - 11 q^{33} - 88 q^{34} - 108 q^{36} - 66 q^{37} + q^{39} - 22 q^{40} - 22 q^{42} - 2 q^{46} - 228 q^{48} - 128 q^{49} - 11 q^{51} - 166 q^{52} + 35 q^{54} - 160 q^{55} - 44 q^{57} - 126 q^{58} - 11 q^{60} + 66 q^{61} + 33 q^{63} + 40 q^{64} + 22 q^{66} - 22 q^{67} - 24 q^{69} + 68 q^{70} - 149 q^{72} - 42 q^{73} + 123 q^{75} - 88 q^{76} - 108 q^{78} - 66 q^{79} - 81 q^{81} - 14 q^{82} + 44 q^{84} - 200 q^{85} + 75 q^{87} + 66 q^{88} + 16 q^{93} - 146 q^{94} + 5 q^{96} - 88 q^{97} - 308 q^{99}+O(q^{100}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

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