LMFDB - Embedded newform 588.2.x.b.139.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			139.6
Character	$\chi$	$=$	588.139
Dual form			588.2.x.b.55.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14486 + 0.830241i) q^{2} +(0.900969 - 0.433884i) q^{3} +(0.621399 - 1.90102i) q^{4} +(-0.591080 - 1.22739i) q^{5} +(-0.671253 + 1.24476i) q^{6} +(2.62768 + 0.308728i) q^{7} +(0.866889 + 2.69230i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.14486 + 0.830241i) q^{2} +(0.900969 - 0.433884i) q^{3} +(0.621399 - 1.90102i) q^{4} +(-0.591080 - 1.22739i) q^{5} +(-0.671253 + 1.24476i) q^{6} +(2.62768 + 0.308728i) q^{7} +(0.866889 + 2.69230i) q^{8} +(0.623490 - 0.781831i) q^{9} +(1.69573 + 0.914448i) q^{10} +(1.96619 - 1.56798i) q^{11} +(-0.264959 - 1.98237i) q^{12} +(-0.175437 + 0.139906i) q^{13} +(-3.26464 + 1.82816i) q^{14} +(-1.06509 - 0.849380i) q^{15} +(-3.22773 - 2.36258i) q^{16} +(-3.14743 + 0.718380i) q^{17} +(-0.0646984 + 1.41273i) q^{18} +3.11588 q^{19} +(-2.70058 + 0.360954i) q^{20} +(2.50141 - 0.861952i) q^{21} +(-0.949203 + 3.42753i) q^{22} +(-2.60135 - 0.593740i) q^{23} +(1.94919 + 2.04955i) q^{24} +(1.96034 - 2.45819i) q^{25} +(0.0846944 - 0.305828i) q^{26} +(0.222521 - 0.974928i) q^{27} +(2.21973 - 4.80341i) q^{28} +(-0.266738 - 1.16865i) q^{29} +(1.92457 + 0.0881386i) q^{30} +6.32449 q^{31} +(5.65680 + 0.0250245i) q^{32} +(1.09115 - 2.26580i) q^{33} +(3.00693 - 3.43557i) q^{34} +(-1.17424 - 3.40767i) q^{35} +(-1.09884 - 1.67109i) q^{36} +(-1.96670 - 8.61669i) q^{37} +(-3.56724 + 2.58693i) q^{38} +(-0.0973602 + 0.202171i) q^{39} +(2.79211 - 2.65538i) q^{40} +(-0.338541 - 0.702987i) q^{41} +(-2.14813 + 3.06358i) q^{42} +(-1.59410 + 3.31018i) q^{43} +(-1.75898 - 4.71210i) q^{44} +(-1.32814 - 0.303140i) q^{45} +(3.47112 - 1.48000i) q^{46} +(-0.508264 - 0.637342i) q^{47} +(-3.93317 - 0.728152i) q^{48} +(6.80937 + 1.62248i) q^{49} +(-0.203421 + 4.44183i) q^{50} +(-2.52404 + 2.01286i) q^{51} +(0.156948 + 0.420446i) q^{52} +(0.711489 - 3.11723i) q^{53} +(0.554671 + 1.30090i) q^{54} +(-3.08670 - 1.48648i) q^{55} +(1.44671 + 7.34214i) q^{56} +(2.80731 - 1.35193i) q^{57} +(1.27564 + 1.11649i) q^{58} +(7.65877 + 3.68827i) q^{59} +(-2.27653 + 1.49695i) q^{60} +(5.41714 - 1.23643i) q^{61} +(-7.24064 + 5.25085i) q^{62} +(1.87970 - 1.86191i) q^{63} +(-6.49701 + 4.66786i) q^{64} +(0.275417 + 0.132634i) q^{65} +(0.631948 + 3.49994i) q^{66} +0.877687i q^{67} +(-0.590156 + 6.42971i) q^{68} +(-2.60135 + 0.593740i) q^{69} +(4.17352 + 2.92639i) q^{70} +(-10.0455 - 2.29281i) q^{71} +(2.64542 + 1.00086i) q^{72} +(1.55192 + 1.23762i) q^{73} +(9.40552 + 8.23204i) q^{74} +(0.699637 - 3.06531i) q^{75} +(1.93620 - 5.92333i) q^{76} +(5.65059 - 3.51314i) q^{77} +(-0.0563867 - 0.312289i) q^{78} +16.0542i q^{79} +(-0.991961 + 5.35815i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(0.971230 + 0.523750i) q^{82} +(4.10730 - 5.15040i) q^{83} +(-0.0842126 - 5.29083i) q^{84} +(2.74211 + 3.43850i) q^{85} +(-0.923231 - 5.11317i) q^{86} +(-0.747382 - 0.937188i) q^{87} +(5.92596 + 3.93431i) q^{88} +(3.44935 + 2.75076i) q^{89} +(1.77222 - 0.755628i) q^{90} +(-0.504185 + 0.313466i) q^{91} +(-2.74518 + 4.57625i) q^{92} +(5.69817 - 2.74409i) q^{93} +(1.11104 + 0.307685i) q^{94} +(-1.84173 - 3.82439i) q^{95} +(5.10746 - 2.43185i) q^{96} -12.2744i q^{97} +(-9.14281 + 3.79592i) q^{98} -2.51485i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{14}\right)$

Coefficient data

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

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

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

$2$	−1.14486	+	0.830241i	−0.809537	+	0.587069i
$2$	−1.14486	+	0.830241i	−0.809537	+	0.587069i
$3$	0.900969	−	0.433884i	0.520175	−	0.250503i
$3$	0.900969	−	0.433884i	0.520175	−	0.250503i
$4$	0.621399	−	1.90102i	0.310699	−	0.950508i
$5$	−0.591080	−	1.22739i	−0.264339	−	0.548905i	0.725980	−	0.687716i	$-0.241386\pi$
$5$	−0.591080	−	1.22739i	−0.264339	−	0.548905i	−0.990319	+	0.138810i	$0.955672\pi$
$6$	−0.671253	+	1.24476i	−0.274038	+	0.508170i
$7$	2.62768	+	0.308728i	0.993169	+	0.116688i
$7$	2.62768	+	0.308728i	0.993169	+	0.116688i
$8$	0.866889	+	2.69230i	0.306492	+	0.951873i
$9$	0.623490	−	0.781831i	0.207830	−	0.260610i
$10$	1.69573	+	0.914448i	0.536237	+	0.289174i
$11$	1.96619	−	1.56798i	0.592829	−	0.472765i	−0.280528	−	0.959846i	$-0.590510\pi$
$11$	1.96619	−	1.56798i	0.592829	−	0.472765i	0.873357	+	0.487081i	$0.161938\pi$
$12$	−0.264959	−	1.98237i	−0.0764871	−	0.572261i
$13$	−0.175437	+	0.139906i	−0.0486575	+	0.0388030i	−0.647517	−	0.762051i	$-0.724192\pi$
$13$	−0.175437	+	0.139906i	−0.0486575	+	0.0388030i	0.598859	+	0.800854i	$0.295621\pi$
$14$	−3.26464	+	1.82816i	−0.872511	+	0.488595i
$15$	−1.06509	−	0.849380i	−0.275005	−	0.219309i
$16$	−3.22773	−	2.36258i	−0.806932	−	0.590645i
$17$	−3.14743	+	0.718380i	−0.763364	+	0.174233i	−0.586441	−	0.809992i	$-0.699471\pi$
$17$	−3.14743	+	0.718380i	−0.763364	+	0.174233i	−0.176923	+	0.984225i	$0.556614\pi$
$18$	−0.0646984	+	1.41273i	−0.0152496	+	0.332984i
$19$	3.11588			0.714831			0.357416	−	0.933945i	$-0.383658\pi$
$19$	3.11588			0.714831			0.357416	+	0.933945i	$0.383658\pi$
$20$	−2.70058	+	0.360954i	−0.603869	+	0.0807117i
$21$	2.50141	−	0.861952i	0.545852	−	0.188093i
$22$	−0.949203	+	3.42753i	−0.202371	+	0.730752i
$23$	−2.60135	−	0.593740i	−0.542418	−	0.123803i	−0.0574715	−	0.998347i	$-0.518304\pi$
$23$	−2.60135	−	0.593740i	−0.542418	−	0.123803i	−0.484947	+	0.874544i	$0.661161\pi$
$24$	1.94919	+	2.04955i	0.397876	+	0.418363i
$25$	1.96034	−	2.45819i	0.392068	−	0.491637i
$26$	0.0846944	−	0.305828i	0.0166099	−	0.0599778i
$27$	0.222521	−	0.974928i	0.0428242	−	0.187625i
$28$	2.21973	−	4.80341i	0.419490	−	0.907760i
$29$	−0.266738	−	1.16865i	−0.0495319	−	0.217014i	0.944105	−	0.329645i	$-0.106929\pi$
$29$	−0.266738	−	1.16865i	−0.0495319	−	0.217014i	−0.993637	+	0.112632i	$0.964072\pi$
$30$	1.92457	+	0.0881386i	0.351376	+	0.0160918i
$31$	6.32449			1.13591			0.567956	−	0.823059i	$-0.307734\pi$
$31$	6.32449			1.13591			0.567956	+	0.823059i	$0.307734\pi$
$32$	5.65680	+	0.0250245i	0.999990	+	0.00442375i
$33$	1.09115	−	2.26580i	0.189945	−	0.394426i
$34$	3.00693	−	3.43557i	0.515684	−	0.589195i
$35$	−1.17424	−	3.40767i	−0.198482	−	0.576001i
$36$	−1.09884	−	1.67109i	−0.183140	−	0.278516i
$37$	−1.96670	−	8.61669i	−0.323324	−	1.41657i	−0.831597	−	0.555379i	$-0.812573\pi$
$37$	−1.96670	−	8.61669i	−0.323324	−	1.41657i	0.508274	−	0.861196i	$-0.330284\pi$
$38$	−3.56724	+	2.58693i	−0.578682	+	0.419655i
$39$	−0.0973602	+	0.202171i	−0.0155901	+	0.0323732i
$40$	2.79211	−	2.65538i	0.441471	−	0.419852i
$41$	−0.338541	−	0.702987i	−0.0528712	−	0.109788i	0.872859	−	0.487972i	$-0.162263\pi$
$41$	−0.338541	−	0.702987i	−0.0528712	−	0.109788i	−0.925731	+	0.378184i	$0.876549\pi$
$42$	−2.14813	+	3.06358i	−0.331463	+	0.472721i
$43$	−1.59410	+	3.31018i	−0.243097	+	0.504797i	−0.986442	−	0.164112i	$-0.947524\pi$
$43$	−1.59410	+	3.31018i	−0.243097	+	0.504797i	0.743344	+	0.668909i	$0.233238\pi$
$44$	−1.75898	−	4.71210i	−0.265176	−	0.710376i
$45$	−1.32814	−	0.303140i	−0.197988	−	0.0451895i
$46$	3.47112	−	1.48000i	0.511789	−	0.218214i
$47$	−0.508264	−	0.637342i	−0.0741379	−	0.0929659i	0.743380	−	0.668870i	$-0.233222\pi$
$47$	−0.508264	−	0.637342i	−0.0741379	−	0.0929659i	−0.817517	+	0.575904i	$0.804650\pi$
$48$	−3.93317	−	0.728152i	−0.567704	−	0.105100i
$49$	6.80937	+	1.62248i	0.972768	+	0.231782i
$50$	−0.203421	+	4.44183i	−0.0287680	+	0.628170i
$51$	−2.52404	+	2.01286i	−0.353437	+	0.281856i
$52$	0.156948	+	0.420446i	0.0217648	+	0.0583054i
$53$	0.711489	−	3.11723i	0.0977305	−	0.428185i	−0.902265	−	0.431182i	$-0.858097\pi$
$53$	0.711489	−	3.11723i	0.0977305	−	0.428185i	0.999996	+	0.00299671i	$0.000953884\pi$
$54$	0.554671	+	1.30090i	0.0754811	+	0.177030i
$55$	−3.08670	−	1.48648i	−0.416211	−	0.200437i
$56$	1.44671	+	7.34214i	0.193325	+	0.981135i
$57$	2.80731	−	1.35193i	0.371837	−	0.179067i
$58$	1.27564	+	1.11649i	0.167500	+	0.146602i
$59$	7.65877	+	3.68827i	0.997087	+	0.480172i	0.859949	−	0.510380i	$-0.170495\pi$
$59$	7.65877	+	3.68827i	0.997087	+	0.480172i	0.137138	+	0.990552i	$0.456210\pi$
$60$	−2.27653	+	1.49695i	−0.293899	+	0.193255i
$61$	5.41714	−	1.23643i	0.693594	−	0.158308i	0.138830	−	0.990316i	$-0.455666\pi$
$61$	5.41714	−	1.23643i	0.693594	−	0.158308i	0.554764	+	0.832008i	$0.312809\pi$
$62$	−7.24064	+	5.25085i	−0.919562	+	0.666859i
$63$	1.87970	−	1.86191i	0.236820	−	0.234579i
$64$	−6.49701	+	4.66786i	−0.812126	+	0.583482i
$65$	0.275417	+	0.132634i	0.0341613	+	0.0164512i
$66$	0.631948	+	3.49994i	0.0777874	+	0.430813i
$67$			0.877687i			0.107226i	0.998562	+	0.0536132i	$0.0170738\pi$
$67$			0.877687i			0.107226i	−0.998562	+	0.0536132i	$0.982926\pi$
$68$	−0.590156	+	6.42971i	−0.0715669	+	0.779717i
$69$	−2.60135	+	0.593740i	−0.313165	+	0.0714779i
$70$	4.17352	+	2.92639i	0.498831	+	0.349771i
$71$	−10.0455	−	2.29281i	−1.19218	−	0.272107i	−0.420006	−	0.907521i	$-0.637972\pi$
$71$	−10.0455	−	2.29281i	−1.19218	−	0.272107i	−0.772171	+	0.635415i	$0.780829\pi$
$72$	2.64542	+	1.00086i	0.311766	+	0.117953i
$73$	1.55192	+	1.23762i	0.181639	+	0.144852i	0.710088	−	0.704113i	$-0.248655\pi$
$73$	1.55192	+	1.23762i	0.181639	+	0.144852i	−0.528449	+	0.848965i	$0.677226\pi$
$74$	9.40552	+	8.23204i	1.09337	+	0.956956i
$75$	0.699637	−	3.06531i	0.0807871	−	0.353951i
$76$	1.93620	−	5.92333i	0.222098	−	0.679453i
$77$	5.65059	−	3.51314i	0.643945	−	0.400359i
$78$	−0.0563867	−	0.312289i	−0.00638454	−	0.0353598i
$79$			16.0542i			1.80623i	0.429394	+	0.903117i	$0.358727\pi$
$79$			16.0542i			1.80623i	−0.429394	+	0.903117i	$0.641273\pi$
$80$	−0.991961	+	5.35815i	−0.110905	+	0.599059i
$81$	−0.222521	−	0.974928i	−0.0247245	−	0.108325i
$82$	0.971230	+	0.523750i	0.107254	+	0.0578385i
$83$	4.10730	−	5.15040i	0.450835	−	0.565329i	−0.503528	−	0.863979i	$-0.667965\pi$
$83$	4.10730	−	5.15040i	0.450835	−	0.565329i	0.954363	+	0.298650i	$0.0965362\pi$
$84$	−0.0842126	−	5.29083i	−0.00918835	−	0.577277i
$85$	2.74211	+	3.43850i	0.297424	+	0.372958i
$86$	−0.923231	−	5.11317i	−0.0995545	−	0.551367i
$87$	−0.747382	−	0.937188i	−0.0801278	−	0.100477i
$88$	5.92596	+	3.93431i	0.631710	+	0.419399i
$89$	3.44935	+	2.75076i	0.365630	+	0.291580i	0.789020	−	0.614367i	$-0.210589\pi$
$89$	3.44935	+	2.75076i	0.365630	+	0.291580i	−0.423390	+	0.905947i	$0.639160\pi$
$90$	1.77222	−	0.755628i	0.186808	−	0.0796501i
$91$	−0.504185	+	0.313466i	−0.0528529	+	0.0328602i
$92$	−2.74518	+	4.57625i	−0.286205	+	0.477107i
$93$	5.69817	−	2.74409i	0.590872	−	0.284549i
$94$	1.11104	+	0.307685i	0.114595	+	0.0317353i
$95$	−1.84173	−	3.82439i	−0.188958	−	0.392375i
$96$	5.10746	−	2.43185i	0.521278	−	0.248199i
$97$		−	12.2744i		−	1.24627i	−0.782113	−	0.623137i	$-0.785858\pi$
$97$		−	12.2744i		−	1.24627i	0.782113	−	0.623137i	$-0.214142\pi$
$98$	−9.14281	+	3.79592i	−0.923563	+	0.383446i
$99$		−	2.51485i		−	0.252752i
$100$	−3.45490	−	5.25415i	−0.345490	−	0.525415i
$101$	6.69005	+	13.8920i	0.665685	+	1.38231i	0.910814	+	0.412818i	$0.135455\pi$
$101$	6.69005	+	13.8920i	0.665685	+	1.38231i	−0.245129	+	0.969490i	$0.578830\pi$
$102$	1.21851	−	4.40000i	0.120651	−	0.435665i
$103$	−11.0291	+	5.31133i	−1.08673	+	0.523341i	−0.889462	−	0.457009i	$-0.848921\pi$
$103$	−11.0291	+	5.31133i	−1.08673	+	0.523341i	−0.197267	+	0.980350i	$0.563207\pi$
$104$	−0.528755	−	0.351047i	−0.0518487	−	0.0344230i
$105$	−2.53648	−	2.56072i	−0.247535	−	0.249901i
$106$	1.77350	+	4.15950i	0.172258	+	0.404006i
$107$	3.34312	+	2.66605i	0.323192	+	0.257737i	0.771623	−	0.636081i	$-0.219445\pi$
$107$	3.34312	+	2.66605i	0.323192	+	0.257737i	−0.448431	+	0.893818i	$0.648017\pi$
$108$	−1.71508	−	1.02884i	−0.165034	−	0.0989997i
$109$	−7.24215	−	9.08137i	−0.693672	−	0.869837i	0.302861	−	0.953035i	$-0.402058\pi$
$109$	−7.24215	−	9.08137i	−0.693672	−	0.869837i	−0.996533	+	0.0831975i	$0.973487\pi$
$110$	4.76797	−	0.860903i	0.454608	−	0.0820838i
$111$	−5.51058	−	6.91005i	−0.523041	−	0.655873i
$112$	−7.75203	−	7.20459i	−0.732498	−	0.680769i
$113$	−5.65668	+	7.09325i	−0.532136	+	0.667277i	−0.973136	−	0.230230i	$-0.926052\pi$
$113$	−5.65668	+	7.09325i	−0.532136	+	0.667277i	0.441001	+	0.897507i	$0.354624\pi$
$114$	−2.09154	+	3.87851i	−0.195891	+	0.363256i
$115$	0.808852	+	3.54381i	0.0754259	+	0.330462i
$116$	−2.38738	−	0.219128i	−0.221663	−	0.0203455i
$117$			0.224392i			0.0207451i
$118$	−11.8304	+	2.13608i	−1.08907	+	0.196642i
$119$	−8.49221	+	0.915970i	−0.778480	+	0.0839668i
$120$	1.36348	−	3.60386i	0.124468	−	0.328986i
$121$	−1.04040	+	4.55829i	−0.0945819	+	0.414390i
$122$	−5.17533	+	5.91307i	−0.468552	+	0.535344i
$123$	−0.610029	−	0.486482i	−0.0550045	−	0.0438646i
$124$	3.93003	−	12.0230i	0.352927	−	1.07969i
$125$	−10.8166	−	2.46882i	−0.967465	−	0.220818i
$126$	−0.606157	+	3.69223i	−0.0540008	+	0.328930i
$127$	−11.4478	+	2.61289i	−1.01583	+	0.231857i	−0.697853	−	0.716241i	$-0.745861\pi$
$127$	−11.4478	+	2.61289i	−1.01583	+	0.231857i	−0.317978	+	0.948098i	$0.603004\pi$
$128$	3.56270	−	10.7381i	0.314901	−	0.949124i
$129$			3.67402i			0.323479i
$130$	−0.425431	+	0.0768156i	−0.0373128	+	0.00673718i
$131$	−3.23391	−	1.55737i	−0.282548	−	0.136068i	0.287243	−	0.957858i	$-0.407261\pi$
$131$	−3.23391	−	1.55737i	−0.282548	−	0.136068i	−0.569791	+	0.821790i	$0.692976\pi$
$132$	−3.62929	−	3.48227i	−0.315889	−	0.303093i
$133$	8.18752	+	0.961960i	0.709948	+	0.0834125i
$134$	−0.728692	−	1.00483i	−0.0629494	−	0.0868038i
$135$	−1.32814	+	0.303140i	−0.114308	+	0.0260902i
$136$	−4.66257	−	7.85108i	−0.399812	−	0.673225i
$137$	−8.55323	−	4.11902i	−0.730752	−	0.351912i	0.0312280	−	0.999512i	$-0.490058\pi$
$137$	−8.55323	−	4.11902i	−0.730752	−	0.351912i	−0.761980	+	0.647601i	$0.775772\pi$
$138$	2.48522	−	2.83949i	0.211556	−	0.241714i
$139$	4.62844	−	2.22894i	0.392579	−	0.189056i	−0.227172	−	0.973855i	$-0.572948\pi$
$139$	4.62844	−	2.22894i	0.392579	−	0.189056i	0.619751	+	0.784799i	$0.287234\pi$
$140$	−7.20770	+	0.114723i	−0.609162	+	0.00969584i
$141$	−0.734462	−	0.353698i	−0.0618529	−	0.0297868i
$142$	13.4042	−	5.71521i	1.12486	−	0.479610i
$143$	−0.125572	+	0.550165i	−0.0105008	+	0.0460071i
$144$	−3.85959	+	1.05049i	−0.321633	+	0.0875412i
$145$	−1.27673	+	1.01816i	−0.106027	+	0.0845535i
$146$	−2.80425	−	0.128425i	−0.232082	−	0.0106286i
$147$	6.83900	−	1.49267i	0.564071	−	0.123114i
$148$	−17.6026	−	1.61567i	−1.44692	−	0.132807i
$149$	10.3988	+	13.0397i	0.851905	+	1.06826i	0.996889	+	0.0788212i	$0.0251156\pi$
$149$	10.3988	+	13.0397i	0.851905	+	1.06826i	−0.144984	+	0.989434i	$0.546313\pi$
$150$	1.74396	+	4.09021i	0.142394	+	0.333964i
$151$	−10.9878	−	2.50790i	−0.894175	−	0.204090i	−0.249344	−	0.968415i	$-0.580215\pi$
$151$	−10.9878	−	2.50790i	−0.894175	−	0.204090i	−0.644831	+	0.764325i	$0.723072\pi$
$152$	2.70112	+	8.38889i	0.219090	+	0.680429i
$153$	−1.40074	+	2.90866i	−0.113243	+	0.235151i
$154$	−3.55238	+	8.71340i	−0.286259	+	0.702146i
$155$	−3.73828	−	7.76261i	−0.300266	−	0.623508i
$156$	0.323830	+	0.310712i	0.0259272	+	0.0248769i
$157$	2.04439	−	4.24523i	0.163160	−	0.338806i	−0.803320	−	0.595548i	$-0.796935\pi$
$157$	2.04439	−	4.24523i	0.163160	−	0.338806i	0.966480	+	0.256742i	$0.0826492\pi$
$158$	−13.3288	−	18.3797i	−1.06038	−	1.46221i
$159$	−0.711489	−	3.11723i	−0.0564247	−	0.247213i
$160$	−3.31290	−	6.95789i	−0.261908	−	0.550069i
$161$	−6.65219	−	2.36327i	−0.524266	−	0.186252i
$162$	1.06418	+	0.931408i	0.0836099	+	0.0731783i
$163$	−10.8059	+	22.4387i	−0.846383	+	1.75753i	−0.224408	+	0.974495i	$0.572045\pi$
$163$	−10.8059	+	22.4387i	−0.846383	+	1.75753i	−0.621975	+	0.783037i	$0.713670\pi$
$164$	−1.54676	+	0.206736i	−0.120782	+	0.0161434i
$165$	−3.42598			−0.266712
$166$	−0.426207	+	9.30652i	−0.0330801	+	0.722326i
$167$	5.37256	+	23.5387i	0.415741	+	1.82148i	0.555773	+	0.831334i	$0.312422\pi$
$167$	5.37256	+	23.5387i	0.415741	+	1.82148i	−0.140032	+	0.990147i	$0.544721\pi$
$168$	4.48908	+	5.98733i	0.346340	+	0.461933i
$169$	−2.88157	+	12.6250i	−0.221659	+	0.971152i
$170$	−5.99412	−	1.65998i	−0.459728	−	0.127315i
$171$	1.94272	−	2.43609i	0.148563	−	0.186292i
$172$	5.30213	+	5.08734i	0.404284	+	0.387906i
$173$	−5.72982	−	1.30779i	−0.435630	−	0.0994297i	−0.000918777	−	1.00000i	$-0.500292\pi$
$173$	−5.72982	−	1.30779i	−0.435630	−	0.0994297i	−0.434711	+	0.900570i	$0.643150\pi$
$174$	1.63374	+	0.452439i	0.123853	+	0.0342993i
$175$	5.91005	−	5.85411i	0.446758	−	0.442529i
$176$	−10.0508	+	0.415746i	−0.757609	+	0.0313381i
$177$	8.50060			0.638944
$178$	−6.23281	−	0.285442i	−0.467169	−	0.0213947i
$179$	19.8334	−	4.52685i	1.48242	−	0.338352i	0.596658	−	0.802495i	$-0.296495\pi$
$179$	19.8334	−	4.52685i	1.48242	−	0.338352i	0.885760	+	0.464143i	$0.153638\pi$
$180$	−1.40158	+	2.33645i	−0.104468	+	0.174149i
$181$	−14.6060	−	11.6479i	−1.08566	−	0.865783i	−0.0941143	−	0.995561i	$-0.530002\pi$
$181$	−14.6060	−	11.6479i	−1.08566	−	0.865783i	−0.991543	+	0.129779i	$0.958573\pi$
$182$	0.316967	−	0.777470i	0.0234952	−	0.0576299i
$183$	4.34421	−	3.46439i	0.321133	−	0.256095i
$184$	−0.656549	−	7.51832i	−0.0484014	−	0.554258i
$185$	−9.41355	+	7.50706i	−0.692098	+	0.551930i
$186$	−4.24533	+	7.87245i	−0.311283	+	0.577236i
$187$	−5.06203	+	6.34759i	−0.370173	+	0.464182i
$188$	−1.52743	+	0.570174i	−0.111399	+	0.0415842i
$189$	0.885701	−	2.49310i	0.0644253	−	0.181346i
$190$	5.28369	+	2.84931i	0.383319	+	0.206710i
$191$	−6.73365	−	13.9826i	−0.487230	−	1.01174i	−0.989161	−	0.146836i	$-0.953091\pi$
$191$	−6.73365	−	13.9826i	−0.487230	−	1.01174i	0.501931	−	0.864908i	$-0.332623\pi$
$192$	−3.82829	+	7.02454i	−0.276283	+	0.506953i
$193$	−11.4668	+	5.52214i	−0.825401	+	0.397492i	−0.798388	−	0.602143i	$-0.794314\pi$
$193$	−11.4668	+	5.52214i	−0.825401	+	0.397492i	−0.0270129	+	0.999635i	$0.508600\pi$
$194$	10.1907	+	14.0524i	0.731649	+	1.00890i
$195$	0.305690			0.0218909
$196$	7.31569	−	11.9365i	0.522549	−	0.852609i
$197$	−16.8381			−1.19966			−0.599831	−	0.800127i	$-0.704765\pi$
$197$	−16.8381			−1.19966			−0.599831	+	0.800127i	$0.704765\pi$
$198$	2.08793	+	2.87915i	0.148383	+	0.204612i
$199$	8.08782	−	3.89489i	0.573330	−	0.276101i	−0.124671	−	0.992198i	$-0.539787\pi$
$199$	8.08782	−	3.89489i	0.573330	−	0.276101i	0.698001	+	0.716097i	$0.254073\pi$
$200$	8.31759	+	3.14685i	0.588142	+	0.222516i
$201$	0.380814	+	0.790768i	0.0268605	+	0.0557765i
$202$	−19.1929	−	10.3500i	−1.35041	−	0.728226i
$203$	−0.340104	−	3.15320i	−0.0238706	−	0.221311i
$204$	2.25804	+	6.04903i	0.158094	+	0.423517i
$205$	−0.662735	+	0.831043i	−0.0462874	+	0.0580426i
$206$	8.21706	−	15.2375i	0.572510	−	1.06165i
$207$	−2.08612	+	1.66362i	−0.144995	+	0.115630i
$208$	0.896803	−	0.0370957i	0.0621821	−	0.00257213i
$209$	6.12641	−	4.88565i	0.423772	−	0.337947i
$210$	5.02993	+	0.825768i	0.347098	+	0.0569834i
$211$	0.323901	+	0.258302i	0.0222983	+	0.0177823i	0.634576	−	0.772861i	$-0.281175\pi$
$211$	0.323901	+	0.258302i	0.0222983	+	0.0177823i	−0.612277	+	0.790643i	$0.709746\pi$
$212$	−5.48380	−	3.28960i	−0.376629	−	0.225930i
$213$	−10.0455	+	2.29281i	−0.688304	+	0.157101i
$214$	−6.04087	−	0.276651i	−0.412945	−	0.0189115i
$215$	5.00511			0.341346
$216$	2.81770	−	0.246060i	0.191720	−	0.0167423i
$217$	16.6187	+	1.95255i	1.12815	+	0.132548i
$218$	15.8310	+	4.38414i	1.07221	+	0.296932i
$219$	1.93522	+	0.441700i	0.130770	+	0.0298474i
$220$	−4.74389	+	4.94418i	−0.319833	+	0.333336i
$221$	0.451670	−	0.566376i	0.0303826	−	0.0380986i
$222$	12.0458	+	3.33591i	0.808463	+	0.223892i
$223$	−3.82894	+	16.7757i	−0.256405	+	1.12338i	0.668658	+	0.743570i	$0.266869\pi$
$223$	−3.82894	+	16.7757i	−0.256405	+	1.12338i	−0.925063	+	0.379813i	$0.875988\pi$
$224$	14.8565	+	1.81217i	0.992643	+	0.121081i
$225$	−0.699637	−	3.06531i	−0.0466425	−	0.204354i
$226$	0.586983	−	12.8172i	0.0390456	−	0.852586i
$227$	16.9632			1.12588			0.562942	−	0.826496i	$-0.309669\pi$
$227$	16.9632			1.12588			0.562942	+	0.826496i	$0.309669\pi$
$228$	−0.825580	−	6.17682i	−0.0546754	−	0.409070i
$229$	−11.4735	+	23.8249i	−0.758188	+	1.57439i	0.0591605	+	0.998248i	$0.481158\pi$
$229$	−11.4735	+	23.8249i	−0.758188	+	1.57439i	−0.817348	+	0.576144i	$0.804557\pi$
$230$	−3.86824	−	3.38562i	−0.255064	−	0.223241i
$231$	3.56672	−	5.61693i	0.234673	−	0.369567i
$232$	2.91514	−	1.73123i	0.191388	−	0.113661i
$233$	−1.45604	−	6.37933i	−0.0953884	−	0.417924i	0.904576	−	0.426311i	$-0.140187\pi$
$233$	−1.45604	−	6.37933i	−0.0953884	−	0.417924i	−0.999965	+	0.00838764i	$0.997330\pi$
$234$	−0.186300	−	0.256897i	−0.0121788	−	0.0167939i
$235$	−0.481843	+	1.00056i	−0.0314320	+	0.0652692i
$236$	11.7706	−	12.2676i	0.766202	−	0.798550i
$237$	6.96564	+	14.4643i	0.452467	+	0.939557i
$238$	8.96190	−	8.09924i	0.580913	−	0.524996i
$239$	−3.05795	+	6.34989i	−0.197802	+	0.410740i	−0.976151	−	0.217091i	$-0.930343\pi$
$239$	−3.05795	+	6.34989i	−0.197802	+	0.410740i	0.778349	+	0.627832i	$0.216057\pi$
$240$	1.43109	+	5.25792i	0.0923764	+	0.339397i
$241$	15.6161	+	3.56428i	1.00592	+	0.229595i	0.693584	−	0.720376i	$-0.256031\pi$
$241$	15.6161	+	3.56428i	1.00592	+	0.229595i	0.312338	+	0.949971i	$0.398888\pi$
$242$	−2.59337	−	6.08238i	−0.166708	−	0.390990i
$243$	−0.623490	−	0.781831i	−0.0399969	−	0.0501545i
$244$	1.01574	−	11.0664i	0.0650259	−	0.708453i
$245$	−2.03347	−	9.31677i	−0.129914	−	0.595226i
$246$	1.10229	+	0.0504814i	0.0702797	+	0.00321857i
$247$	−0.546640	+	0.435931i	−0.0347819	+	0.0277376i
$248$	5.48263	+	17.0274i	0.348147	+	1.08124i
$249$	1.46588	−	6.42244i	0.0928963	−	0.407005i
$250$	14.4332	−	6.15394i	0.912834	−	0.389209i
$251$	14.7022	+	7.08018i	0.927992	+	0.446897i	0.835918	−	0.548855i	$-0.184936\pi$
$251$	14.7022	+	7.08018i	0.927992	+	0.446897i	0.0920741	+	0.995752i	$0.470650\pi$
$252$	−2.37148	−	4.73034i	−0.149389	−	0.297983i
$253$	−6.04572	+	2.91146i	−0.380091	+	0.183042i
$254$	10.9368	−	12.4959i	0.686236	−	0.784060i
$255$	3.96247	+	1.90822i	0.248139	+	0.119498i
$256$	4.83644	+	15.2515i	0.302278	+	0.953220i
$257$	23.4351	−	5.34891i	1.46184	−	0.333656i	0.583665	−	0.811994i	$-0.301618\pi$
$257$	23.4351	−	5.34891i	1.46184	−	0.333656i	0.878175	+	0.478339i	$0.158761\pi$
$258$	−3.05032	−	4.20623i	−0.189905	−	0.261868i
$259$	−2.50764	−	23.2490i	−0.155817	−	1.44463i
$260$	0.423283	−	0.441154i	0.0262509	−	0.0273592i
$261$	−1.08000	−	0.520100i	−0.0668502	−	0.0321934i
$262$	4.99536	−	0.901959i	0.308614	−	0.0557232i
$263$		−	27.7119i		−	1.70879i	−0.519626	−	0.854394i	$-0.673929\pi$
$263$		−	27.7119i		−	1.70879i	0.519626	−	0.854394i	$-0.326071\pi$
$264$	7.04614	+	0.973517i	0.433660	+	0.0599158i
$265$	−4.24661	+	0.969261i	−0.260867	+	0.0595412i
$266$	−10.1722	+	5.69631i	−0.623698	+	0.349263i
$267$	4.30126	+	0.981736i	0.263233	+	0.0600812i
$268$	1.66850	+	0.545393i	0.101920	+	0.0333152i
$269$	−3.47034	−	2.76751i	−0.211590	−	0.168738i	0.511960	−	0.859009i	$-0.328920\pi$
$269$	−3.47034	−	2.76751i	−0.211590	−	0.168738i	−0.723550	+	0.690272i	$0.757491\pi$
$270$	1.26886	−	1.44973i	0.0772201	−	0.0882279i
$271$	−0.291645	+	1.27778i	−0.0177162	+	0.0776196i	−0.983013	−	0.183535i	$-0.941246\pi$
$271$	−0.291645	+	1.27778i	−0.0177162	+	0.0776196i	0.965297	+	0.261154i	$0.0841032\pi$
$272$	11.8563	+	5.11731i	0.718892	+	0.310283i
$273$	−0.318247	+	0.501181i	−0.0192612	+	0.0303329i
$274$	13.2120	−	2.38555i	0.798167	−	0.144117i
$275$		−	7.90705i		−	0.476813i
$276$	−0.487763	+	5.31415i	−0.0293599	+	0.319874i
$277$	3.67962	+	16.1215i	0.221087	+	0.968646i	0.956662	+	0.291202i	$0.0940552\pi$
$277$	3.67962	+	16.1215i	0.221087	+	0.968646i	−0.735575	+	0.677444i	$0.763088\pi$
$278$	−3.44835	+	6.39454i	−0.206818	+	0.383519i
$279$	3.94325	−	4.94468i	0.236076	−	0.296030i
$280$	8.15654	−	6.11547i	0.487447	−	0.365469i
$281$	11.4502	+	14.3581i	0.683061	+	0.856531i	0.995632	−	0.0933632i	$-0.0297618\pi$
$281$	11.4502	+	14.3581i	0.683061	+	0.856531i	−0.312571	+	0.949894i	$0.601190\pi$
$282$	1.13451	−	0.204847i	0.0675591	−	0.0121984i
$283$	5.57371	+	6.98921i	0.331323	+	0.415465i	0.919390	−	0.393346i	$-0.128683\pi$
$283$	5.57371	+	6.98921i	0.331323	+	0.415465i	−0.588068	+	0.808812i	$0.700111\pi$
$284$	−10.6009	+	17.6718i	−0.629048	+	1.04863i
$285$	−3.31869	−	2.64656i	−0.196582	−	0.156769i
$286$	−0.313008	−	0.734116i	−0.0185086	−	0.0434092i
$287$	−0.672544	−	1.95174i	−0.0396990	−	0.115208i
$288$	3.54652	−	4.40706i	0.208981	−	0.259689i
$289$	−5.92624	+	2.85392i	−0.348602	+	0.167878i
$290$	0.616358	−	2.22564i	0.0361938	−	0.130694i
$291$	−5.32565	−	11.0588i	−0.312195	−	0.648280i
$292$	3.31709	−	2.18118i	0.194118	−	0.127644i
$293$			13.0656i			0.763303i	0.924306	+	0.381652i	$0.124645\pi$
$293$			13.0656i			0.763303i	−0.924306	+	0.381652i	$0.875355\pi$
$294$	−6.59040	+	7.38692i	−0.384360	+	0.430814i
$295$		−	11.5804i		−	0.674235i
$296$	21.4938	−	12.7647i	1.24930	−	0.741932i
$297$	−1.09115	−	2.26580i	−0.0633151	−	0.131475i
$298$	−22.7313	−	6.29509i	−1.31679	−	0.364665i
$299$	0.539440	−	0.259781i	0.0311966	−	0.0150235i
$300$	−5.39245	−	3.23480i	−0.311333	−	0.186761i
$301$	−5.21072	+	8.20593i	−0.300341	+	0.472982i
$302$	14.6616	−	6.25135i	0.843682	−	0.359725i
$303$	12.0550	+	9.61358i	0.692545	+	0.552286i
$304$	−10.0572	−	7.36150i	−0.576820	−	0.422211i
$305$	−4.71954	−	5.91812i	−0.270240	−	0.338871i
$306$	−0.811245	−	4.49295i	−0.0463758	−	0.256845i
$307$	11.5599	+	14.4957i	0.659759	+	0.827312i	0.993317	−	0.115418i	$-0.0368206\pi$
$307$	11.5599	+	14.4957i	0.659759	+	0.827312i	−0.333558	+	0.942730i	$0.608249\pi$
$308$	−3.16726	−	12.9249i	−0.180471	−	0.736466i
$309$	−7.63237	+	9.57069i	−0.434190	+	0.544458i
$310$	10.7246	+	5.78341i	0.609118	+	0.328476i
$311$	−4.31972	−	18.9259i	−0.244949	−	1.07319i	−0.936446	−	0.350812i	$-0.885906\pi$
$311$	−4.31972	−	18.9259i	−0.244949	−	1.07319i	0.691497	−	0.722379i	$-0.256951\pi$
$312$	−0.628705	−	0.0868639i	−0.0355934	−	0.00491770i
$313$			25.6228i			1.44829i	0.689650	+	0.724143i	$0.257764\pi$
$313$			25.6228i			1.44829i	−0.689650	+	0.724143i	$0.742236\pi$
$314$	1.18402	+	6.55752i	0.0668182	+	0.370062i
$315$	−3.39635	−	1.20659i	−0.191362	−	0.0679837i
$316$	30.5192	+	9.97604i	1.71684	+	0.561196i
$317$	4.08491	−	17.8972i	0.229432	−	1.00521i	−0.720673	−	0.693275i	$-0.756167\pi$
$317$	4.08491	−	17.8972i	0.229432	−	1.00521i	0.950105	−	0.311931i	$-0.100976\pi$
$318$	3.40261	+	2.97808i	0.190809	+	0.167003i
$319$	−2.35689	−	1.87956i	−0.131960	−	0.105235i
$320$	9.56953	+	5.21528i	0.534953	+	0.291543i
$321$	4.16881	+	0.951503i	0.232680	+	0.0531077i
$322$	9.57790	−	2.81732i	0.533755	−	0.157003i
$323$	−9.80700	+	2.23838i	−0.545676	+	0.124547i
$324$	−1.99163	−	0.182803i	−0.110646	−	0.0101557i
$325$			0.705521i			0.0391353i
$326$	−6.25830	−	34.6606i	−0.346615	−	1.91967i
$327$	−10.4652	−	5.03978i	−0.578727	−	0.278700i
$328$	1.59918	−	1.52087i	0.0882998	−	0.0839758i
$329$	−1.13879	−	1.83165i	−0.0627834	−	0.100982i
$330$	3.92226	−	2.84439i	0.215913	−	0.156579i
$331$	24.9469	−	5.69396i	1.37120	−	0.312969i	0.527399	−	0.849618i	$-0.323167\pi$
$331$	24.9469	−	5.69396i	1.37120	−	0.312969i	0.843806	+	0.536649i	$0.180310\pi$
$332$	−7.23871	−	11.0085i	−0.397276	−	0.604170i
$333$	−7.96302	−	3.83479i	−0.436371	−	0.210145i
$334$	−25.6936	−	22.4880i	−1.40589	−	1.23049i
$335$	1.07726	−	0.518783i	0.0588572	−	0.0283441i
$336$	−10.1103	−	3.12763i	−0.551561	−	0.170626i
$337$	5.10421	+	2.45806i	0.278044	+	0.133899i	0.567710	−	0.823229i	$-0.307830\pi$
$337$	5.10421	+	2.45806i	0.278044	+	0.133899i	−0.289665	+	0.957128i	$0.593544\pi$
$338$	−7.18279	−	16.8462i	−0.390692	−	0.916312i
$339$	−2.01885	+	8.84514i	−0.109649	+	0.480402i
$340$	8.24059	−	3.07612i	0.446909	−	0.166826i
$341$	12.4351	−	9.91670i	0.673401	−	0.537019i
$342$	−0.201592	+	4.40190i	−0.0109009	+	0.238028i
$343$	17.3919	+	6.36559i	0.939076	+	0.343710i
$344$	−10.2939	−	1.42224i	−0.555010	−	0.0766820i
$345$	2.26635	+	2.84192i	0.122016	+	0.153004i
$346$	7.64561	−	3.25989i	0.411031	−	0.175253i
$347$	−10.6633	−	2.43382i	−0.572434	−	0.130654i	−0.0735014	−	0.997295i	$-0.523417\pi$
$347$	−10.6633	−	2.43382i	−0.572434	−	0.130654i	−0.498933	+	0.866641i	$0.666274\pi$
$348$	−2.24603	+	0.838419i	−0.120400	+	0.0449440i
$349$	−1.09423	+	2.27219i	−0.0585727	+	0.121628i	−0.928200	−	0.372080i	$-0.878645\pi$
$349$	−1.09423	+	2.27219i	−0.0585727	+	0.121628i	0.869628	+	0.493708i	$0.164359\pi$
$350$	−1.90584	+	11.6089i	−0.101872	+	0.620521i
$351$	0.0973602	+	0.202171i	0.00519670	+	0.0107911i
$352$	11.1616	−	8.82057i	0.594914	−	0.470138i
$353$	−9.13291	+	18.9647i	−0.486096	+	1.00939i	0.503296	+	0.864114i	$0.332121\pi$
$353$	−9.13291	+	18.9647i	−0.486096	+	1.00939i	−0.989391	+	0.145274i	$0.953594\pi$
$354$	−9.73197	+	7.05755i	−0.517249	+	0.375104i
$355$	3.12350	+	13.6849i	0.165778	+	0.726321i
$356$	7.37266	−	4.84794i	0.390750	−	0.256941i
$357$	−7.25379	+	4.50989i	−0.383911	+	0.238689i
$358$	−18.9481	+	21.6491i	−1.00144	+	1.14419i
$359$	−9.66717	+	20.0741i	−0.510214	+	1.05947i	0.473677	+	0.880699i	$0.342926\pi$
$359$	−9.66717	+	20.0741i	−0.510214	+	1.05947i	−0.983891	+	0.178771i	$0.942788\pi$
$360$	−0.335208	−	3.83856i	−0.0176670	−	0.202310i
$361$	−9.29131			−0.489017
$362$	26.3924	+	1.20868i	1.38715	+	0.0635270i
$363$	1.04040	+	4.55829i	0.0546069	+	0.239248i
$364$	0.282605	+	1.15325i	0.0148125	+	0.0604468i
$365$	0.601728	−	2.63634i	0.0314959	−	0.137993i
$366$	−2.09722	+	7.57298i	−0.109624	+	0.395846i
$367$	−17.2520	+	21.6333i	−0.900548	+	1.12925i	0.0905202	+	0.995895i	$0.471147\pi$
$367$	−17.2520	+	21.6333i	−0.900548	+	1.12925i	−0.991068	+	0.133357i	$0.957424\pi$
$368$	6.99368	+	8.06232i	0.364571	+	0.420277i
$369$	−0.760694	−	0.173623i	−0.0396002	−	0.00903848i
$370$	4.54451	−	16.4100i	0.236258	−	0.853117i
$371$	2.83194	−	7.97143i	0.147027	−	0.413856i
$372$	−1.67573	−	12.5375i	−0.0868826	−	0.650038i
$373$	−3.57684			−0.185202			−0.0926008	−	0.995703i	$-0.529518\pi$
$373$	−3.57684			−0.185202			−0.0926008	+	0.995703i	$0.529518\pi$
$374$	0.525278	−	11.4698i	0.0271615	−	0.593089i
$375$	−10.8166	+	2.46882i	−0.558566	+	0.127489i
$376$	1.27531	−	1.92091i	0.0657692	−	0.0990631i
$377$	0.210298	+	0.167707i	0.0108309	+	0.00863735i
$378$	1.05587	+	3.58959i	0.0543081	+	0.184628i
$379$	4.79576	−	3.82449i	0.246341	−	0.196451i	−0.492533	−	0.870294i	$-0.663929\pi$
$379$	4.79576	−	3.82449i	0.246341	−	0.196451i	0.738875	+	0.673843i	$0.235358\pi$
$380$	−8.41469	+	1.12469i	−0.431664	+	0.0576952i
$381$	−9.18045	+	7.32116i	−0.470329	+	0.375075i
$382$	19.3180	+	10.4175i	0.988394	+	0.533006i
$383$	−21.9846	+	27.5679i	−1.12336	+	1.40865i	−0.222292	+	0.974980i	$0.571354\pi$
$383$	−21.9846	+	27.5679i	−1.12336	+	1.40865i	−0.901071	+	0.433673i	$0.857217\pi$
$384$	−1.44921	−	11.2205i	−0.0739548	−	0.572594i
$385$	−7.65194	−	4.85894i	−0.389979	−	0.247634i
$386$	8.54320	−	15.8423i	0.434837	−	0.806352i
$387$	1.59410	+	3.31018i	0.0810325	+	0.168266i
$388$	−23.3338	−	7.62728i	−1.18459	−	0.387217i
$389$	17.4781	−	8.41701i	0.886175	−	0.426759i	0.0652989	−	0.997866i	$-0.479200\pi$
$389$	17.4781	−	8.41701i	0.886175	−	0.426759i	0.820876	+	0.571106i	$0.193486\pi$
$390$	−0.349971	+	0.253796i	−0.0177215	+	0.0128515i
$391$	8.61408			0.435633
$392$	1.53477	+	19.7394i	0.0775175	+	0.996991i
$393$	−3.58937			−0.181060
$394$	19.2772	−	13.9796i	0.971170	−	0.704284i
$395$	19.7047	−	9.48929i	0.991452	−	0.477458i
$396$	−4.78077	−	1.56273i	−0.240243	−	0.0785299i
$397$	−1.98688	−	4.12579i	−0.0997185	−	0.207068i	0.845141	−	0.534543i	$-0.179516\pi$
$397$	−1.98688	−	4.12579i	−0.0997185	−	0.207068i	−0.944860	+	0.327476i	$0.893802\pi$
$398$	−6.02571	+	11.1739i	−0.302041	+	0.560099i
$399$	7.79408	−	2.68573i	0.390192	−	0.134455i
$400$	−12.1351	+	3.30290i	−0.606755	+	0.165145i
$401$	7.89788	−	9.90363i	0.394401	−	0.494564i	−0.544495	−	0.838764i	$-0.683279\pi$
$401$	7.89788	−	9.90363i	0.394401	−	0.494564i	0.938896	+	0.344201i	$0.111850\pi$
$402$	−1.09251	−	0.589150i	−0.0544893	−	0.0293841i
$403$	−1.10955	+	0.884836i	−0.0552706	+	0.0440768i
$404$	30.5662	−	4.08540i	1.52072	−	0.203256i
$405$	−1.06509	+	0.849380i	−0.0529247	+	0.0422060i
$406$	3.00728	+	3.32759i	0.149249	+	0.165146i
$407$	−17.3777	−	13.8583i	−0.861383	−	0.686930i
$408$	−7.60729	−	5.05057i	−0.376617	−	0.250040i
$409$	19.8874	−	4.53918i	0.983370	−	0.224448i	0.299536	−	0.954085i	$-0.403168\pi$
$409$	19.8874	−	4.53918i	0.983370	−	0.224448i	0.683834	+	0.729637i	$0.260311\pi$
$410$	0.0687708	−	1.50166i	0.00339635	−	0.0741615i
$411$	−9.49337			−0.468273
$412$	3.24346	+	24.2669i	0.159794	+	1.19555i
$413$	18.9861	+	12.0561i	0.934245	+	0.593240i
$414$	1.00710	−	3.63659i	0.0494962	−	0.178729i
$415$	−8.74929	−	1.99697i	−0.429486	−	0.0980273i
$416$	−0.995913	+	0.787032i	−0.0488287	+	0.0385874i
$417$	3.20298	−	4.01641i	0.156851	−	0.196684i
$418$	−2.95760	+	10.6798i	−0.144661	+	0.522364i
$419$	−8.31647	+	36.4368i	−0.406286	+	1.78006i	0.194770	+	0.980849i	$0.437604\pi$
$419$	−8.31647	+	36.4368i	−0.406286	+	1.78006i	−0.601056	+	0.799207i	$0.705253\pi$
$420$	−6.44414	+	3.23067i	−0.314442	+	0.157640i
$421$	−7.30418	−	32.0017i	−0.355984	−	1.55967i	−0.763093	−	0.646288i	$-0.776320\pi$
$421$	−7.30418	−	32.0017i	−0.355984	−	1.55967i	0.407109	−	0.913379i	$-0.366537\pi$
$422$	−0.585274	−	0.0268036i	−0.0284907	−	0.00130478i
$423$	−0.815192			−0.0396360
$424$	9.00933	−	0.786753i	0.437532	−	0.0382081i
$425$	−4.40411	+	9.14524i	−0.213631	+	0.443609i
$426$	9.59704	−	10.9651i	0.464978	−	0.531261i
$427$	14.6162	−	1.57651i	0.707329	−	0.0762925i
$428$	7.14562	−	4.69865i	0.345397	−	0.227118i
$429$	0.125572	+	0.550165i	0.00606265	+	0.0265622i
$430$	−5.73014	+	4.15545i	−0.276332	+	0.200394i
$431$	3.14909	−	6.53915i	0.151686	−	0.314980i	−0.811254	−	0.584693i	$-0.801215\pi$
$431$	3.14909	−	6.53915i	0.151686	−	0.314980i	0.962941	+	0.269714i	$0.0869291\pi$
$432$	−3.02158	+	2.62108i	−0.145376	+	0.126107i
$433$	−9.84838	−	20.4504i	−0.473283	−	0.982782i	−0.991810	−	0.127721i	$-0.959234\pi$
$433$	−9.84838	−	20.4504i	−0.473283	−	0.982782i	0.518527	−	0.855061i	$-0.326480\pi$
$434$	−20.6471	+	11.5621i	−0.991095	+	0.555001i
$435$	−0.708532	+	1.47128i	−0.0339715	+	0.0705426i
$436$	−21.7641	+	8.12429i	−1.04231	+	0.389083i
$437$	−8.10547	−	1.85002i	−0.387737	−	0.0884985i
$438$	−2.58227	+	1.10101i	−0.123385	+	0.0526084i
$439$	−22.7534	−	28.5319i	−1.08596	−	1.36175i	−0.927257	−	0.374426i	$-0.877840\pi$
$439$	−22.7534	−	28.5319i	−1.08596	−	1.36175i	−0.158704	−	0.987326i	$-0.550732\pi$
$440$	1.32622	−	9.59896i	0.0632251	−	0.457612i
$441$	5.51408	−	4.31218i	0.262575	−	0.205342i
$442$	−0.0468689	+	1.02341i	−0.00222933	+	0.0486789i
$443$	7.45027	−	5.94139i	0.353973	−	0.282284i	−0.430318	−	0.902677i	$-0.641599\pi$
$443$	7.45027	−	5.94139i	0.353973	−	0.282284i	0.784291	+	0.620393i	$0.213027\pi$
$444$	−16.5604	+	6.18181i	−0.785921	+	0.293375i
$445$	1.33742	−	5.85961i	0.0633997	−	0.277772i
$446$	−9.54428	−	22.3847i	−0.451935	−	1.05995i
$447$	15.0267	+	7.23650i	0.710740	+	0.342275i
$448$	−18.5131	+	10.2598i	−0.874663	+	0.484731i
$449$	−8.18341	+	3.94092i	−0.386199	+	0.185984i	−0.616901	−	0.787041i	$-0.711612\pi$
$449$	−8.18341	+	3.94092i	−0.386199	+	0.185984i	0.230702	+	0.973024i	$0.425898\pi$
$450$	3.34593	+	2.92848i	0.157729	+	0.138050i
$451$	−1.76791	−	0.851380i	−0.0832476	−	0.0400899i
$452$	9.96934	+	15.1612i	0.468918	+	0.713122i
$453$	−10.9878	+	2.50790i	−0.516252	+	0.117831i
$454$	−19.4204	+	14.0835i	−0.911444	+	0.660972i
$455$	0.682759	+	0.433548i	0.0320082	+	0.0203250i
$456$	6.07343	+	6.38616i	0.284414	+	0.299059i
$457$	−30.0634	−	14.4778i	−1.40631	−	0.677241i	−0.431875	−	0.901933i	$-0.642148\pi$
$457$	−30.0634	−	14.4778i	−1.40631	−	0.677241i	−0.974430	+	0.224693i	$0.927862\pi$
$458$	−6.64492	−	36.8018i	−0.310497	−	1.71964i
$459$			3.22837i			0.150687i
$460$	7.23947	+	0.664480i	0.337542	+	0.0309815i
$461$	18.3145	−	4.18016i	0.852990	−	0.194689i	0.226396	−	0.974035i	$-0.427306\pi$
$461$	18.3145	−	4.18016i	0.852990	−	0.194689i	0.626594	+	0.779346i	$0.284449\pi$
$462$	0.580023	+	9.39182i	0.0269851	+	0.436947i
$463$	17.0766	+	3.89763i	0.793618	+	0.181138i	0.600065	−	0.799951i	$-0.295141\pi$
$463$	17.0766	+	3.89763i	0.793618	+	0.181138i	0.193554	+	0.981090i	$0.437999\pi$
$464$	−1.90008	+	4.40229i	−0.0882090	+	0.204371i
$465$	−6.73614	−	5.37189i	−0.312381	−	0.249116i
$466$	6.96334	+	6.09456i	0.322571	+	0.282325i
$467$	−5.99327	+	26.2582i	−0.277335	+	1.21509i	0.623813	+	0.781574i	$0.285583\pi$
$467$	−5.99327	+	26.2582i	−0.277335	+	1.21509i	−0.901148	+	0.433512i	$0.857274\pi$
$468$	0.426574	+	0.139437i	0.0197184	+	0.00644549i
$469$	−0.270967	+	2.30628i	−0.0125121	+	0.106494i
$470$	−0.279062	−	1.54554i	−0.0128722	−	0.0712906i
$471$		−	4.71184i		−	0.217110i
$472$	−3.29064	+	23.8171i	−0.151464	+	1.09627i
$473$	2.05601	+	9.00796i	0.0945353	+	0.414186i
$474$	−19.9835	−	10.7764i	−0.917874	−	0.494977i
$475$	6.10817	−	7.65941i	0.280262	−	0.351438i
$476$	−3.53578	+	16.7130i	−0.162062	+	0.766040i
$477$	−1.99355	−	2.49983i	−0.0912782	−	0.114459i
$478$	−1.77103	−	9.80855i	−0.0810049	−	0.448633i
$479$	−17.6373	−	22.1165i	−0.805869	−	1.01053i	−0.999566	−	0.0294668i	$-0.990619\pi$
$479$	−17.6373	−	22.1165i	−0.805869	−	1.01053i	0.193696	−	0.981062i	$-0.437952\pi$
$480$	−6.00374	−	4.83142i	−0.274032	−	0.220523i
$481$	1.55056	+	1.23653i	0.0706995	+	0.0563810i
$482$	−20.8374	+	8.88455i	−0.949119	+	0.404680i
$483$	−7.01880	+	0.757048i	−0.319367	+	0.0344469i
$484$	8.01889	+	4.81034i	0.364495	+	0.218652i
$485$	−15.0654	+	7.25513i	−0.684086	+	0.329439i
$486$	1.36292	+	0.377439i	0.0618231	+	0.0171210i
$487$	−18.0886	−	37.5614i	−0.819674	−	1.70207i	−0.705614	−	0.708596i	$-0.749329\pi$
$487$	−18.0886	−	37.5614i	−0.819674	−	1.70207i	−0.114059	−	0.993474i	$-0.536385\pi$
$488$	8.02490	+	13.5128i	0.363270	+	0.611694i
$489$			24.9050i			1.12625i
$490$	10.0632	+	8.97810i	0.454609	+	0.405589i
$491$		−	10.8962i		−	0.491738i	−0.969303	−	0.245869i	$-0.920927\pi$
$491$		−	10.8962i		−	0.491738i	0.969303	−	0.245869i	$-0.0790734\pi$
$492$	−1.30388	+	0.857376i	−0.0587836	+	0.0386535i
$493$	1.67908	+	3.48664i	0.0756218	+	0.157030i
$494$	0.263897	−	0.952922i	0.0118733	−	0.0428740i
$495$	−3.08670	+	1.48648i	−0.138737	+	0.0668122i
$496$	−20.4137	−	14.9421i	−0.916603	−	0.670920i
$497$	−25.6884	−	9.12609i	−1.15228	−	0.409361i
$498$	3.65395	+	8.56981i	0.163737	+	0.384022i
$499$	−0.473358	−	0.377490i	−0.0211904	−	0.0168988i	0.612837	−	0.790209i	$-0.290028\pi$
$499$	−0.473358	−	0.377490i	−0.0211904	−	0.0168988i	−0.634028	+	0.773310i	$0.718600\pi$
$500$	−11.4147	+	19.0284i	−0.510480	+	0.850976i
$501$	15.0536	+	18.8766i	0.672544	+	0.843344i
$502$	−22.7101	+	4.10053i	−1.01360	+	0.183016i
$503$	8.46155	+	10.6105i	0.377282	+	0.473097i	0.933829	−	0.357719i	$-0.116446\pi$
$503$	8.46155	+	10.6105i	0.377282	+	0.473097i	−0.556547	+	0.830816i	$0.687874\pi$
$504$	6.64233	+	3.44666i	0.295873	+	0.153527i
$505$	13.0966	−	16.4226i	0.582790	−	0.730796i
$506$	4.50427	−	8.35262i	0.200239	−	0.371319i
$507$	2.88157	+	12.6250i	0.127975	+	0.560695i
$508$	−2.14652	+	23.3862i	−0.0952363	+	1.03759i
$509$		−	21.6897i		−	0.961378i	−0.876891	−	0.480689i	$-0.840387\pi$
$509$		−	21.6897i		−	0.961378i	0.876891	−	0.480689i	$-0.159613\pi$
$510$	−6.12075	+	1.10516i	−0.271031	+	0.0489373i
$511$	3.69586	+	3.73118i	0.163495	+	0.165058i
$512$	−18.1995	−	13.4454i	−0.804311	−	0.594209i
$513$	0.693348	−	3.03775i	0.0306121	−	0.134120i
$514$	−22.3890	+	25.5805i	−0.987535	+	1.12831i
$515$	13.0381	+	10.3976i	0.574529	+	0.458172i
$516$	6.98437	+	2.28303i	0.307470	+	0.100505i
$517$	−1.99869	−	0.456187i	−0.0879021	−	0.0200631i
$518$	22.1732	+	24.5349i	0.974235	+	1.07800i
$519$	−5.72982	+	1.30779i	−0.251511	+	0.0574058i
$520$	−0.118335	+	0.856485i	−0.00518932	+	0.0375593i
$521$		−	43.3948i		−	1.90116i	−0.310477	−	0.950581i	$-0.600489\pi$
$521$		−	43.3948i		−	1.90116i	0.310477	−	0.950581i	$-0.399511\pi$
$522$	1.66825	−	0.301219i	0.0730175	−	0.0131840i
$523$	3.08007	+	1.48328i	0.134682	+	0.0648594i	0.500011	−	0.866019i	$-0.333329\pi$
$523$	3.08007	+	1.48328i	0.134682	+	0.0648594i	−0.365329	+	0.930878i	$0.619044\pi$
$524$	−4.97013	+	5.17997i	−0.217121	+	0.226288i
$525$	2.78477	−	7.83865i	0.121537	−	0.342107i
$526$	23.0075	+	31.7262i	1.00318	+	1.38333i
$527$	−19.9059	+	4.54339i	−0.867113	+	0.197913i
$528$	−8.87508	+	4.73546i	−0.386238	+	0.206084i
$529$	−14.3078	−	6.89028i	−0.622079	−	0.299577i
$530$	4.05704	−	4.63537i	0.176227	−	0.201348i
$531$	7.65877	−	3.68827i	0.332362	−	0.160057i
$532$	6.91641	−	14.9668i	0.299865	−	0.648895i
$533$	0.157745	+	0.0759660i	0.00683269	+	0.00329045i
$534$	−5.73941	+	2.44714i	−0.248369	+	0.105898i
$535$	1.29623	−	5.67917i	0.0560410	−	0.245532i
$536$	−2.36300	+	0.760857i	−0.102066	+	0.0328640i
$537$	15.9052	−	12.6839i	0.686358	−	0.547352i
$538$	6.27074	+	0.287179i	0.270351	+	0.0123812i
$539$	15.9325	−	7.48689i	0.686263	−	0.322483i
$540$	−0.249033	+	2.71319i	−0.0107167	+	0.116757i
$541$	−9.69034	−	12.1513i	−0.416620	−	0.522425i	0.528595	−	0.848874i	$-0.322719\pi$
$541$	−9.69034	−	12.1513i	−0.416620	−	0.522425i	−0.945215	+	0.326449i	$0.894148\pi$
$542$	−0.726973	−	1.70501i	−0.0312262	−	0.0732365i
$543$	−18.2134	−	4.15709i	−0.781612	−	0.178398i
$544$	−17.8223	+	3.98497i	−0.764127	+	0.170854i
$545$	−6.86569	+	14.2567i	−0.294094	+	0.610692i
$546$	−0.0517537	−	0.838003i	−0.00221485	−	0.0358632i
$547$	−5.95766	−	12.3712i	−0.254731	−	0.528954i	0.733911	−	0.679246i	$-0.237693\pi$
$547$	−5.95766	−	12.3712i	−0.254731	−	0.528954i	−0.988642	+	0.150292i	$0.951979\pi$
$548$	−13.1453	+	13.7003i	−0.561539	+	0.585247i
$549$	2.41086	−	5.00619i	0.102893	−	0.213659i
$550$	6.56476	+	9.05244i	0.279922	+	0.385997i
$551$	−0.831122	−	3.64138i	−0.0354070	−	0.155128i
$552$	−3.85361	−	6.48891i	−0.164020	−	0.276186i
$553$	−4.95638	+	42.1852i	−0.210767	+	1.79390i
$554$	−17.5974	−	15.4018i	−0.747640	−	0.654361i
$555$	−5.22413	+	10.8480i	−0.221752	+	0.460473i
$556$	−1.36114	−	10.1838i	−0.0577253	−	0.431889i
$557$	46.2999			1.96179			0.980894	−	0.194541i	$-0.0623219\pi$
$557$	46.2999			1.96179			0.980894	+	0.194541i	$0.0623219\pi$
$558$	−0.409184	+	8.93481i	−0.0173221	+	0.378241i
$559$	−0.183451	−	0.803752i	−0.00775915	−	0.0339951i
$560$	−4.26077	+	13.7732i	−0.180050	+	0.582026i
$561$	−1.80662	+	7.91532i	−0.0762755	+	0.334185i
$562$	−25.0295	−	6.93154i	−1.05581	−	0.292389i
$563$	7.49837	−	9.40266i	0.316019	−	0.396275i	−0.598299	−	0.801273i	$-0.704156\pi$
$563$	7.49837	−	9.40266i	0.316019	−	0.396275i	0.914317	+	0.404998i	$0.132728\pi$
$564$	−1.12878	+	1.17644i	−0.0475302	+	0.0495369i
$565$	12.0497	+	2.75027i	0.506936	+	0.115705i
$566$	−12.1838	−	3.37413i	−0.512125	−	0.141825i
$567$	−0.283725	−	2.63049i	−0.0119153	−	0.110470i
$568$	−2.53536	−	29.0331i	−0.106381	−	1.21820i
$569$	10.0348			0.420682			0.210341	−	0.977628i	$-0.432543\pi$
$569$	10.0348			0.420682			0.210341	+	0.977628i	$0.432543\pi$
$570$	5.99671	+	0.274629i	0.251174	+	0.0115029i
$571$	16.5867	−	3.78581i	0.694132	−	0.158431i	0.139123	−	0.990275i	$-0.455572\pi$
$571$	16.5867	−	3.78581i	0.694132	−	0.158431i	0.555009	+	0.831844i	$0.312715\pi$
$572$	0.967843	+	0.580586i	0.0404675	+	0.0242755i
$573$	−12.1336	−	9.67624i	−0.506889	−	0.404231i
$574$	2.39038	+	1.67609i	0.0997726	+	0.0699587i
$575$	−6.55904	+	5.23066i	−0.273531	+	0.218134i
$576$	−0.401339	+	7.98993i	−0.0167224	+	0.332914i
$577$	15.7568	−	12.5656i	0.655964	−	0.523114i	−0.237993	−	0.971267i	$-0.576489\pi$
$577$	15.7568	−	12.5656i	0.655964	−	0.523114i	0.893957	+	0.448153i	$0.147918\pi$
$578$	4.41525	−	8.18754i	0.183650	−	0.340557i
$579$	−7.93530	+	9.95055i	−0.329780	+	0.413531i
$580$	1.14218	+	3.05977i	0.0474263	+	0.127050i
$581$	12.3827	−	12.2655i	0.513723	−	0.508860i
$582$	15.2786	+	8.23921i	0.633319	+	0.341526i
$583$	−3.48885	−	7.24468i	−0.144494	−	0.300044i
$584$	−1.98670	+	5.25113i	−0.0822101	+	0.217293i
$585$	0.275417	−	0.132634i	0.0113871	−	0.00548373i
$586$	−10.8476	−	14.9583i	−0.448112	−	0.617922i
$587$	−28.5355			−1.17779			−0.588894	−	0.808210i	$-0.700436\pi$
$587$	−28.5355			−1.17779			−0.588894	+	0.808210i	$0.700436\pi$
$588$	1.41215	−	13.9286i	0.0582360	−	0.574406i
$589$	19.7063			0.811985
$590$	9.61449	+	13.2579i	0.395822	+	0.545818i
$591$	−15.1706	+	7.30576i	−0.624034	+	0.300519i
$592$	−14.0096	+	32.4588i	−0.575792	+	1.33405i
$593$	4.90261	+	10.1804i	0.201326	+	0.418058i	0.977049	−	0.213016i	$-0.0683287\pi$
$593$	4.90261	+	10.1804i	0.201326	+	0.418058i	−0.775723	+	0.631074i	$0.782614\pi$
$594$	3.13038	+	1.68810i	0.128441	+	0.0692637i
$595$	6.14382	+	9.88184i	0.251872	+	0.405116i
$596$	31.2505	−	11.6655i	1.28007	−	0.477837i
$597$	5.59695	−	7.01835i	0.229068	−	0.287242i
$598$	−0.401902	+	0.745278i	−0.0164350	+	0.0304767i
$599$	−4.95682	+	3.95293i	−0.202530	+	0.161512i	−0.719503	−	0.694490i	$-0.755630\pi$
$599$	−4.95682	+	3.95293i	−0.202530	+	0.161512i	0.516973	+	0.856002i	$0.327059\pi$
$600$	8.85925	−	0.773648i	0.361678	−	0.0315840i
$601$	32.4069	−	25.8436i	1.32190	−	1.05418i	0.327914	−	0.944707i	$-0.393654\pi$
$601$	32.4069	−	25.8436i	1.32190	−	1.05418i	0.993989	−	0.109476i	$-0.0349172\pi$
$602$	−0.847372	−	13.7208i	−0.0345363	−	0.559217i
$603$	0.686203	+	0.547229i	0.0279443	+	0.0222849i
$604$	−11.5954	+	19.3296i	−0.471809	+	0.786510i
$605$	6.20976	−	1.41734i	0.252463	−	0.0576230i
$606$	−21.7829	−	0.997584i	−0.884870	−	0.0405241i
$607$	−38.7415			−1.57247			−0.786234	−	0.617929i	$-0.787972\pi$
$607$	−38.7415			−1.57247			−0.786234	+	0.617929i	$0.787972\pi$
$608$	17.6259	+	0.0779733i	0.714824	+	0.00316223i
$609$	−1.67454	−	2.69337i	−0.0678559	−	0.109141i
$610$	10.3167	+	2.85705i	0.417710	+	0.115678i
$611$	0.178337	+	0.0407041i	0.00721472	+	0.00164671i
$612$	4.65900	+	4.47026i	0.188329	+	0.180700i
$613$	18.2395	−	22.8716i	0.736685	−	0.923774i	−0.262467	−	0.964941i	$-0.584536\pi$
$613$	18.2395	−	22.8716i	0.736685	−	0.923774i	0.999152	+	0.0411672i	$0.0131076\pi$
$614$	−25.2694	−	6.99797i	−1.01979	−	0.282415i
$615$	−0.236527	+	1.03629i	−0.00953770	+	0.0417874i
$616$	14.3569	+	12.1676i	0.578455	+	0.490247i
$617$	−9.36779	−	41.0430i	−0.377133	−	1.65233i	−0.706194	−	0.708019i	$-0.749589\pi$
$617$	−9.36779	−	41.0430i	−0.377133	−	1.65233i	0.329061	−	0.944309i	$-0.393268\pi$
$618$	0.791997	−	17.2938i	0.0318588	−	0.695658i
$619$	20.3849			0.819339			0.409669	−	0.912234i	$-0.365644\pi$
$619$	20.3849			0.819339			0.409669	+	0.912234i	$0.365644\pi$
$620$	−17.0798	+	2.28285i	−0.685942	+	0.0916814i
$621$	−1.15771	+	2.40401i	−0.0464572	+	0.0964694i
$622$	20.6586	+	18.0811i	0.828333	+	0.724986i
$623$	8.21453	+	8.29303i	0.329108	+	0.332253i
$624$	0.791896	−	0.422530i	0.0317012	−	0.0169147i
$625$	−0.134917	−	0.591110i	−0.00539668	−	0.0236444i
$626$	−21.2731	−	29.3344i	−0.850244	−	1.17244i
$627$	3.39990	−	7.05996i	0.135779	−	0.281948i
$628$	−6.79986	−	6.52440i	−0.271344	−	0.260352i
$629$	12.3801	+	25.7076i	0.493627	+	1.02503i
$630$	4.89009	−	1.43841i	0.194826	−	0.0573077i
$631$	−0.357026	+	0.741373i	−0.0142130	+	0.0295136i	−0.907955	−	0.419069i	$-0.862357\pi$
$631$	−0.357026	+	0.741373i	−0.0142130	+	0.0295136i	0.893742	+	0.448582i	$0.148071\pi$
$632$	−43.2227	+	13.9172i	−1.71931	+	0.553596i
$633$	0.403898	+	0.0921871i	0.0160535	+	0.00366411i
$634$	10.1823	+	23.8812i	0.404392	+	0.948443i
$635$	9.97362	+	12.5065i	0.395791	+	0.496306i
$636$	−6.36803	−	0.584495i	−0.252509	−	0.0231767i
$637$	−1.42161	+	0.668032i	−0.0563263	+	0.0264684i
$638$	4.25879	+	0.195038i	0.168607	+	0.00772163i
$639$	−8.05583	+	6.42431i	−0.318684	+	0.254142i
$640$	−15.2857	+	1.97426i	−0.604220	+	0.0780396i
$641$	−4.73622	+	20.7507i	−0.187069	+	0.819604i	0.791082	+	0.611710i	$0.209518\pi$
$641$	−4.73622	+	20.7507i	−0.187069	+	0.819604i	−0.978151	+	0.207894i	$0.933339\pi$
$642$	−5.56267	+	2.37178i	−0.219541	+	0.0936067i
$643$	−4.99520	−	2.40556i	−0.196991	−	0.0948660i	0.332788	−	0.943002i	$-0.392011\pi$
$643$	−4.99520	−	2.40556i	−0.196991	−	0.0948660i	−0.529779	+	0.848136i	$0.677725\pi$
$644$	−8.62627	+	11.1774i	−0.339923	+	0.440451i
$645$	4.50945	−	2.17164i	0.177559	−	0.0855081i
$646$	9.36922	−	10.7048i	0.368627	−	0.421175i
$647$	27.2395	+	13.1178i	1.07089	+	0.515716i	0.884395	−	0.466739i	$-0.154571\pi$
$647$	27.2395	+	13.1178i	1.07089	+	0.515716i	0.186500	+	0.982455i	$0.440286\pi$
$648$	2.43190	−	1.44425i	0.0955341	−	0.0567354i
$649$	20.8418	−	4.75699i	0.818110	−	0.186728i
$650$	−0.585753	−	0.807721i	−0.0229751	−	0.0316814i
$651$	15.8201	−	5.45140i	0.620039	−	0.213657i
$652$	35.9415	+	34.4855i	1.40758	+	1.35056i
$653$	22.2613	+	10.7205i	0.871151	+	0.419524i	0.815384	−	0.578920i	$-0.196526\pi$
$653$	22.2613	+	10.7205i	0.871151	+	0.419524i	0.0557661	+	0.998444i	$0.482240\pi$
$654$	16.1654	−	2.91882i	0.632117	−	0.114135i
$655$			4.88980i			0.191060i
$656$	−0.568145	+	3.06888i	−0.0221823	+	0.119820i
$657$	1.93522	−	0.441700i	0.0755000	−	0.0172324i
$658$	2.82446	+	1.15151i	0.110109	+	0.0448904i
$659$	−42.7764	−	9.76344i	−1.66633	−	0.380330i	−0.717612	−	0.696443i	$-0.754765\pi$
$659$	−42.7764	−	9.76344i	−1.66633	−	0.380330i	−0.948721	+	0.316113i	$0.897622\pi$
$660$	−2.12890	+	6.51285i	−0.0828674	+	0.253512i
$661$	3.29770	+	2.62983i	0.128266	+	0.102289i	0.685522	−	0.728052i	$-0.259574\pi$
$661$	3.29770	+	2.62983i	0.128266	+	0.102289i	−0.557256	+	0.830341i	$0.688146\pi$
$662$	−23.8333	+	27.2307i	−0.926306	+	1.05835i
$663$	0.161199	−	0.706259i	0.00626045	−	0.0274288i
$664$	17.4270	+	6.59329i	0.676299	+	0.255869i
$665$	−3.65878	−	10.6179i	−0.141881	−	0.411743i
$666$	12.3003	−	2.22094i	0.476628	−	0.0860597i
$667$			3.19845i			0.123844i
$668$	48.0860	+	4.41361i	1.86050	+	0.170768i
$669$	3.82894	+	16.7757i	0.148035	+	0.648586i
$670$	−0.802599	+	1.48832i	−0.0310071	+	0.0574989i
$671$	8.71244	−	10.9251i	0.336340	−	0.421757i
$672$	14.1715	−	4.81329i	0.546679	−	0.185677i
$673$	13.5441	+	16.9837i	0.522085	+	0.654674i	0.971050	−	0.238875i	$-0.0767787\pi$
$673$	13.5441	+	16.9837i	0.522085	+	0.654674i	−0.448965	+	0.893549i	$0.648207\pi$
$674$	−7.88438	+	1.42360i	−0.303695	+	0.0548350i
$675$	−1.96034	−	2.45819i	−0.0754535	−	0.0946157i
$676$	22.2097	+	13.3231i	0.854218	+	0.512425i
$677$	−25.6293	−	20.4387i	−0.985014	−	0.785523i	−0.00827763	−	0.999966i	$-0.502635\pi$
$677$	−25.6293	−	20.4387i	−0.985014	−	0.785523i	−0.976736	+	0.214443i	$0.931206\pi$
$678$	−5.03231	−	11.8026i	−0.193265	−	0.453275i
$679$	3.78945	−	32.2531i	0.145426	−	1.23776i
$680$	−6.88038	+	10.3634i	−0.263851	+	0.397418i
$681$	15.2833	−	7.36004i	0.585656	−	0.282037i
$682$	−6.00322	+	21.6774i	−0.229875	+	0.830070i
$683$	1.91205	+	3.97040i	0.0731624	+	0.151923i	0.934342	−	0.356377i	$-0.115988\pi$
$683$	1.91205	+	3.97040i	0.0731624	+	0.151923i	−0.861180	+	0.508301i	$0.830274\pi$
$684$	−3.42385	−	5.20692i	−0.130914	−	0.199092i
$685$			12.9328i			0.494137i
$686$	−25.1963	+	7.15180i	−0.961998	+	0.273057i
$687$			26.4436i			1.00889i
$688$	12.9659	−	6.91817i	0.494319	−	0.263753i
$689$	0.311300	+	0.646420i	0.0118596	+	0.0246266i
$690$	−4.95413	−	1.37197i	−0.188600	−	0.0522300i
$691$	−7.75273	+	3.73352i	−0.294928	+	0.142030i	−0.575497	−	0.817804i	$-0.695191\pi$
$691$	−7.75273	+	3.73352i	−0.294928	+	0.142030i	0.280569	+	0.959834i	$0.409477\pi$
$692$	−6.04664	+	10.0798i	−0.229859	+	0.383177i
$693$	0.776406	−	6.60822i	0.0294932	−	0.251025i
$694$	14.2286	−	6.06670i	0.540109	−	0.230289i
$695$	−5.47155	−	4.36342i	−0.207548	−	0.165514i
$696$	1.87530	−	2.82462i	0.0710830	−	0.107067i
$697$	1.57054	+	1.96940i	0.0594886	+	0.0745964i
$698$	−0.633729	−	3.50981i	−0.0239870	−	0.132848i
$699$	−4.07973	−	5.11583i	−0.154310	−	0.193498i
$700$	−7.45626	−	14.8728i	−0.281820	−	0.562140i
$701$	2.96012	−	3.71188i	0.111802	−	0.140196i	−0.722782	−	0.691077i	$-0.757137\pi$
$701$	2.96012	−	3.71188i	0.111802	−	0.140196i	0.834584	+	0.550881i	$0.185708\pi$
$702$	−0.279314	−	0.150624i	−0.0105420	−	0.00568494i
$703$	−6.12800	−	26.8485i	−0.231122	−	1.01261i
$704$	−5.45522	+	19.3651i	−0.205601	+	0.729850i
$705$			1.11054i			0.0418252i
$706$	−5.28938	−	29.2944i	−0.199068	−	1.10251i
$707$	13.2904	+	38.5692i	0.499838	+	1.45054i
$708$	5.28226	−	16.1598i	0.198519	−	0.607321i
$709$	−11.3384	+	49.6768i	−0.425823	+	1.86565i	0.0704983	+	0.997512i	$0.477541\pi$
$709$	−11.3384	+	49.6768i	−0.425823	+	1.86565i	−0.496321	+	0.868139i	$0.665316\pi$
$710$	−14.9378	−	13.0740i	−0.560604	−	0.490660i
$711$	12.5516	+	10.0096i	0.470724	+	0.375390i
$712$	−4.41569	+	11.6713i	−0.165485	+	0.437400i
$713$	−16.4522	−	3.75510i	−0.616139	−	0.140630i
$714$	4.56026	−	11.1856i	0.170664	−	0.418610i
$715$	0.749490	−	0.171066i	0.0280293	−	0.00639751i
$716$	3.71885	−	40.5166i	0.138980	−	1.51418i
$717$			7.04784i			0.263207i
$718$	−5.59880	−	31.0081i	−0.208945	−	1.15721i
$719$	26.7690	+	12.8913i	0.998316	+	0.480764i	0.860367	−	0.509676i	$-0.170235\pi$
$719$	26.7690	+	12.8913i	0.998316	+	0.480764i	0.137949	+	0.990439i	$0.455949\pi$
$720$	3.57069	+	4.11630i	0.133072	+	0.153405i
$721$	−30.6207	+	10.5515i	−1.14037	+	0.392957i
$722$	10.6372	−	7.71403i	0.395877	−	0.287087i
$723$	15.6161	−	3.56428i	0.580769	−	0.132557i
$724$	−31.2190	+	20.5283i	−1.16025	+	0.762928i
$725$	−3.39567	−	1.63527i	−0.126112	−	0.0607323i
$726$	−4.97560	−	4.35482i	−0.184662	−	0.161622i
$727$	−4.06667	+	1.95841i	−0.150824	+	0.0726332i	−0.507773	−	0.861491i	$-0.669531\pi$
$727$	−4.06667	+	1.95841i	−0.150824	+	0.0726332i	0.356949	+	0.934124i	$0.383817\pi$
$728$	−1.28102	−	1.08568i	−0.0474777	−	0.0402379i
$729$	−0.900969	−	0.433884i	−0.0333692	−	0.0160698i
$730$	1.49991	+	3.51782i	0.0555141	+	0.130200i
$731$	2.63934	−	11.5637i	0.0976196	−	0.427699i
$732$	−3.88638	−	10.4112i	−0.143645	−	0.384809i
$733$	16.3932	−	13.0732i	0.605498	−	0.482869i	−0.272098	−	0.962270i	$-0.587717\pi$
$733$	16.3932	−	13.0732i	0.605498	−	0.482869i	0.877596	+	0.479401i	$0.159146\pi$
$734$	1.79021	−	39.0904i	0.0660779	−	1.44285i
$735$	−5.87449	−	7.51183i	−0.216684	−	0.277078i
$736$	−14.7004	−	3.42377i	−0.541865	−	0.126202i
$737$	1.37620	+	1.72570i	0.0506929	+	0.0635669i
$738$	1.01504	−	0.432786i	0.0373640	−	0.0159311i
$739$	−19.4307	−	4.43493i	−0.714769	−	0.163141i	−0.150354	−	0.988632i	$-0.548041\pi$
$739$	−19.4307	−	4.43493i	−0.714769	−	0.163141i	−0.564415	+	0.825491i	$0.690898\pi$
$740$	8.42147	+	22.5602i	0.309579	+	0.829329i
$741$	−0.303362	+	0.629938i	−0.0111443	+	0.0231414i
$742$	3.37604	+	11.4773i	0.123938	+	0.421347i
$743$	4.21297	+	8.74832i	0.154559	+	0.320945i	0.963842	−	0.266474i	$-0.0858586\pi$
$743$	4.21297	+	8.74832i	0.154559	+	0.320945i	−0.809283	+	0.587418i	$0.800144\pi$
$744$	12.3276	+	12.9624i	0.451952	+	0.475224i
$745$	9.85828	−	20.4709i	0.361179	−	0.749997i
$746$	4.09497	−	2.96964i	0.149928	−	0.108726i
$747$	−1.46588	−	6.42244i	−0.0536337	−	0.234985i
$748$	8.92133	+	13.5674i	0.326196	+	0.496073i
$749$	7.96156	+	8.03764i	0.290909	+	0.293689i
$750$	10.3337	−	11.8068i	0.377335	−	0.431124i
$751$	−12.6521	+	26.2723i	−0.461680	+	0.958689i	0.532032	+	0.846724i	$0.321429\pi$
$751$	−12.6521	+	26.2723i	−0.461680	+	0.958689i	−0.993712	+	0.111965i	$0.964286\pi$
$752$	0.134765	+	3.25798i	0.00491436	+	0.118806i
$753$	16.3182			0.594667
$754$	−0.379998	−	0.0174026i	−0.0138387	−	0.000633767i
$755$	3.41650	+	14.9687i	0.124339	+	0.544766i
$756$	−4.18905	−	3.23294i	−0.152354	−	0.117581i
$757$	5.15190	−	22.5719i	0.187249	−	0.820391i	−0.790810	−	0.612062i	$-0.790340\pi$
$757$	5.15190	−	22.5719i	0.187249	−	0.820391i	0.978059	−	0.208329i	$-0.0668025\pi$
$758$	−2.31521	+	8.36013i	−0.0840923	+	0.303654i
$759$	−4.18377	+	5.24628i	−0.151861	+	0.190428i
$760$	8.69986	−	8.27383i	0.315577	−	0.300123i
$761$	−49.3659	−	11.2674i	−1.78951	−	0.408445i	−0.806389	−	0.591385i	$-0.798581\pi$
$761$	−49.3659	−	11.2674i	−1.78951	−	0.408445i	−0.983124	+	0.182940i	$0.941438\pi$
$762$	4.43198	−	16.0037i	0.160554	−	0.579752i
$763$	−16.2264	−	26.0988i	−0.587433	−	0.944838i
$764$	−30.7654	+	4.11203i	−1.11305	+	0.148768i
$765$	4.39801			0.159010
$766$	2.28131	−	49.8139i	0.0824270	−	1.79985i
$767$	−1.85964	+	0.424452i	−0.0671479	+	0.0153261i
$768$	10.9749	+	11.6427i	0.396022	+	0.420119i
$769$	−12.1625	−	9.69925i	−0.438590	−	0.349764i	0.379166	−	0.925329i	$-0.376211\pi$
$769$	−12.1625	−	9.69925i	−0.438590	−	0.349764i	−0.817756	+	0.575565i	$0.804782\pi$
$770$	12.7945	−	0.790165i	0.461081	−	0.0284756i
$771$	18.7935	−	14.9873i	0.676831	−	0.539755i
$772$	3.37220	+	25.2301i	0.121368	+	0.908051i
$773$	12.0916	−	9.64271i	0.434904	−	0.346824i	−0.381437	−	0.924395i	$-0.624571\pi$
$773$	12.0916	−	9.64271i	0.434904	−	0.346824i	0.816341	+	0.577571i	$0.195999\pi$
$774$	−4.57326	−	2.46620i	−0.164382	−	0.0886456i
$775$	12.3981	−	15.5468i	0.445354	−	0.558457i
$776$	33.0464	−	10.6405i	1.18629	−	0.381972i
$777$	−12.3467	−	19.8586i	−0.442935	−	0.712425i
$778$	−13.0218	+	24.1473i	−0.466854	+	0.865723i
$779$	−1.05485	−	2.19042i	−0.0377940	−	0.0784800i
$780$	0.189955	−	0.581121i	0.00680149	−	0.0208075i
$781$	−23.3464	+	11.2430i	−0.835399	+	0.402307i
$782$	−9.86190	+	7.15177i	−0.352661	+	0.255747i
$783$	−1.19871			−0.0428383
$784$	−18.1456	−	21.3246i	−0.648056	−	0.761593i
$785$	−6.41894			−0.229102
$786$	4.10932	−	2.98004i	0.146574	−	0.106295i
$787$	15.6128	−	7.51872i	0.556536	−	0.268013i	−0.134403	−	0.990927i	$-0.542912\pi$
$787$	15.6128	−	7.51872i	0.556536	−	0.268013i	0.690939	+	0.722913i	$0.257197\pi$
$788$	−10.4631	+	32.0094i	−0.372734	+	1.14029i
$789$	−12.0237	−	24.9675i	−0.428056	−	0.888868i
$790$	−14.6807	+	27.2235i	−0.522316	+	0.968570i
$791$	−17.0538	+	16.8924i	−0.606364	+	0.600625i
$792$	6.77075	−	2.18010i	0.240588	−	0.0774664i
$793$	−0.777384	+	0.974808i	−0.0276057	+	0.0346165i
$794$	5.70009	+	3.07386i	0.202289	+	0.109087i
$795$	−3.40552	+	2.71581i	−0.120781	+	0.0963198i
$796$	−2.37849	−	17.7954i	−0.0843032	−	0.630740i
$797$	11.3258	−	9.03205i	0.401182	−	0.319932i	−0.402029	−	0.915627i	$-0.631695\pi$
$797$	11.3258	−	9.03205i	0.401182	−	0.319932i	0.803210	+	0.595695i	$0.203123\pi$
$798$	−6.69330	+	9.54575i	−0.236940	+	0.337916i
$799$	2.05758	+	1.64086i	0.0727919	+	0.0580496i
$800$	11.1508	−	13.8564i	0.394239	−	0.489898i
$801$	4.30126	−	0.981736i	0.151978	−	0.0346879i
$802$	−0.819548	+	17.8954i	−0.0289393	+	0.631908i
$803$	4.99194			0.176162
$804$	1.73990	−	0.232551i	0.0613616	−	0.00820144i
$805$	1.03133	+	9.56171i	0.0363495	+	0.337006i
$806$	0.535649	−	1.93421i	0.0188674	−	0.0681295i
$807$	−4.32745	−	0.987711i	−0.152333	−	0.0347691i
$808$	−31.6020	+	30.0545i	−1.11176	+	1.05731i
$809$	−6.81568	+	8.54659i	−0.239626	+	0.300482i	−0.887073	−	0.461629i	$-0.847265\pi$
$809$	−6.81568	+	8.54659i	−0.239626	+	0.300482i	0.647447	+	0.762111i	$0.275837\pi$
$810$	0.514185	−	1.85670i	0.0180666	−	0.0652378i
$811$	5.59725	−	24.5232i	0.196546	−	0.861125i	−0.776427	−	0.630207i	$-0.782970\pi$
$811$	5.59725	−	24.5232i	0.196546	−	0.861125i	0.972973	−	0.230918i	$-0.0741729\pi$
$812$	−6.20562	−	1.31285i	−0.217774	−	0.0460720i
$813$	0.291645	+	1.27778i	0.0102284	+	0.0448137i
$814$	31.4008	+	1.43805i	1.10060	+	0.0504036i
$815$	33.9281			1.18845
$816$	12.9024	−	0.533703i	0.451676	−	0.0186833i
$817$	−4.96701	+	10.3141i	−0.173774	+	0.360845i
$818$	−18.9997	+	21.7081i	−0.664308	+	0.759005i
$819$	−0.0692763	+	0.589631i	−0.00242071	+	0.0206034i
$820$	1.16800	+	1.77628i	0.0407885	+	0.0620303i
$821$	−2.00309	−	8.77609i	−0.0699082	−	0.306288i	0.927871	−	0.372902i	$-0.121637\pi$
$821$	−2.00309	−	8.77609i	−0.0699082	−	0.306288i	−0.997779	+	0.0666145i	$0.978780\pi$
$822$	10.8686	−	7.88179i	0.379084	−	0.274909i
$823$	2.95245	−	6.13082i	0.102916	−	0.213707i	−0.843152	−	0.537675i	$-0.819303\pi$
$823$	2.95245	−	6.13082i	0.102916	−	0.213707i	0.946068	+	0.323968i	$0.105017\pi$
$824$	−23.8607	−	25.0893i	−0.831228	−	0.874029i
$825$	−3.43074	−	7.12400i	−0.119443	−	0.248026i
$826$	−31.7458	+	1.96057i	−1.10458	+	0.0682169i
$827$	2.84727	−	5.91241i	0.0990092	−	0.205595i	−0.845581	−	0.533848i	$-0.820746\pi$
$827$	2.84727	−	5.91241i	0.0990092	−	0.205595i	0.944590	+	0.328253i	$0.106460\pi$
$828$	1.86626	+	4.99952i	0.0648572	+	0.173745i
$829$	17.7035	+	4.04072i	0.614869	+	0.140340i	0.518602	−	0.855016i	$-0.326453\pi$
$829$	17.7035	+	4.04072i	0.614869	+	0.140340i	0.0962669	+	0.995356i	$0.469310\pi$
$830$	11.6747	−	4.97777i	0.405233	−	0.172781i
$831$	10.3101	+	12.9284i	0.357652	+	0.448482i
$832$	0.486752	−	1.72789i	0.0168751	−	0.0599037i
$833$	−22.5976	−	0.214913i	−0.782959	−	0.00744631i
$834$	−0.332367	+	7.25746i	−0.0115089	+	0.251305i
$835$	25.7156	−	20.5075i	0.889924	−	0.709691i
$836$	−5.48075	−	14.6823i	−0.189556	−	0.507799i
$837$	1.40733	−	6.16592i	0.0486445	−	0.213125i
$838$	−20.7302	−	48.6197i	−0.716112	−	1.67954i
$839$	6.96923	+	3.35621i	0.240605	+	0.115869i	0.550301	−	0.834966i	$-0.314513\pi$
$839$	6.96923	+	3.35621i	0.240605	+	0.115869i	−0.309696	+	0.950836i	$0.600227\pi$
$840$	4.69539	−	9.04884i	0.162006	−	0.312215i
$841$	24.8335	−	11.9592i	0.856327	−	0.412386i
$842$	34.9314	+	30.5732i	1.20382	+	1.05362i
$843$	16.5460	+	7.96813i	0.569874	+	0.274437i
$844$	0.692309	−	0.455232i	0.0238303	−	0.0156697i
$845$	17.1990	−	3.92556i	0.591663	−	0.135043i
$846$	0.933278	−	0.676806i	0.0320868	−	0.0232691i
$847$	−4.14111	+	11.6565i	−0.142290	+	0.400523i
$848$	−9.66120	+	8.38064i	−0.331767	+	0.287792i
$849$	8.05424	+	3.87872i	0.276421	+	0.133117i
$850$	−2.55067	−	14.1265i	−0.0874872	−	0.484534i
$851$			23.5827i			0.808404i
$852$	−1.88357	+	20.5213i	−0.0645299	+	0.703049i
$853$	−10.4137	+	2.37686i	−0.356558	+	0.0813820i	−0.397048	−	0.917798i	$-0.629965\pi$
$853$	−10.4137	+	2.37686i	−0.356558	+	0.0813820i	0.0404899	+	0.999180i	$0.487108\pi$
$854$	−15.4246	+	13.9399i	−0.527820	+	0.477013i
$855$	−4.13833	−	0.944547i	−0.141528	−	0.0323028i
$856$	−4.27971	+	11.3119i	−0.146277	+	0.386632i
$857$	−30.0100	−	23.9322i	−1.02512	−	0.817508i	−0.0417534	−	0.999128i	$-0.513294\pi$
$857$	−30.0100	−	23.9322i	−1.02512	−	0.817508i	−0.983369	+	0.181620i	$0.941866\pi$
$858$	−0.600531	−	0.525606i	−0.0205018	−	0.0179439i
$859$	6.27934	−	27.5116i	0.214248	−	0.938684i	−0.747395	−	0.664380i	$-0.768696\pi$
$859$	6.27934	−	27.5116i	0.214248	−	0.938684i	0.961643	−	0.274303i	$-0.0884473\pi$
$860$	3.11017	−	9.51480i	0.106056	−	0.324452i
$861$	−1.45277	−	1.46665i	−0.0495102	−	0.0499834i
$862$	1.82381	+	10.1009i	0.0621193	+	0.344038i
$863$		−	0.449602i		−	0.0153046i	−0.999971	−	0.00765231i	$-0.997564\pi$
$863$		−	0.449602i		−	0.0153046i	0.999971	−	0.00765231i	$-0.00243583\pi$
$864$	1.28315	−	5.50940i	0.0436538	−	0.187434i
$865$	1.78161	+	7.80573i	0.0605765	+	0.265403i
$866$	28.2537	+	15.2362i	0.960101	+	0.517748i
$867$	−4.10108	+	5.14259i	−0.139280	+	0.174652i
$868$	14.0387	−	30.3791i	0.476504	−	1.03113i
$869$	25.1727	+	31.5655i	0.853925	+	1.07079i
$870$	−0.410351	−	2.27266i	−0.0139122	−	0.0770504i
$871$	−0.122794	−	0.153979i	−0.00416071	−	0.00521737i
$872$	18.1717	−	27.3706i	0.615370	−	0.926886i
$873$	−9.59649	−	7.65295i	−0.324792	−	0.259013i
$874$	10.8156	−	4.61149i	0.365842	−	0.155986i
$875$	−27.6603	−	9.82664i	−0.935089	−	0.332201i
$876$	2.04222	−	3.40441i	0.0690003	−	0.115024i
$877$	−39.6257	+	19.0827i	−1.33807	+	0.644378i	−0.959634	−	0.281251i	$-0.909251\pi$
$877$	−39.6257	+	19.0827i	−1.33807	+	0.644378i	−0.378431	+	0.925629i	$0.623536\pi$
$878$	49.7378	+	13.7741i	1.67857	+	0.464854i
$879$	5.66897	+	11.7717i	0.191210	+	0.397051i
$880$	6.45111	+	12.0905i	0.217467	+	0.407571i
$881$			29.8733i			1.00646i	0.864154	+	0.503228i	$0.167854\pi$
$881$			29.8733i			1.00646i	−0.864154	+	0.503228i	$0.832146\pi$
$882$	−2.73268	+	9.51485i	−0.0920142	+	0.320382i
$883$		−	24.6849i		−	0.830715i	−0.909658	−	0.415357i	$-0.863657\pi$
$883$		−	24.6849i		−	0.830715i	0.909658	−	0.415357i	$-0.136343\pi$
$884$	−0.796023	−	1.21058i	−0.0267731	−	0.0407161i
$885$	−5.02453	−	10.4335i	−0.168898	−	0.350720i
$886$	−3.59671	+	12.9876i	−0.120834	+	0.436326i
$887$	30.6950	−	14.7820i	1.03064	−	0.496329i	0.159413	−	0.987212i	$-0.449040\pi$
$887$	30.6950	−	14.7820i	1.03064	−	0.496329i	0.871226	+	0.490883i	$0.163326\pi$
$888$	13.8269	−	20.8264i	0.464000	−	0.698888i
$889$	−30.8879	+	3.33157i	−1.03595	+	0.111737i
$890$	3.33374	+	7.81880i	0.111747	+	0.262087i
$891$	−1.96619	−	1.56798i	−0.0658699	−	0.0525295i
$892$	29.5116	+	17.7033i	0.988120	+	0.592750i
$893$	−1.58369	−	1.98588i	−0.0529961	−	0.0664549i
$894$	−23.2115	+	4.19106i	−0.776309	+	0.140170i
$895$	−17.2793	−	21.6676i	−0.577584	−	0.724268i
$896$	12.6768	−	27.1164i	0.423502	−	0.905895i
$897$	0.373304	−	0.468109i	0.0124643	−	0.0156297i
$898$	6.09692	−	11.3060i	0.203457	−	0.377286i
$899$	−1.68698	−	7.39114i	−0.0562639	−	0.246508i
$900$	−6.26196	−	0.574758i	−0.208732	−	0.0191586i
$901$			10.3224i			0.343889i
$902$	2.73085	−	0.493082i	0.0909275	−	0.0164178i
$903$	−1.13427	+	9.65413i	−0.0377463	+	0.321269i
$904$	−24.0009	−	9.08044i	−0.798259	−	0.302011i
$905$	−5.66321	+	24.8121i	−0.188251	+	0.824783i
$906$	10.4973	−	11.9937i	0.348750	−	0.398464i
$907$	3.42495	+	2.73130i	0.113723	+	0.0906914i	0.678700	−	0.734415i	$-0.262544\pi$
$907$	3.42495	+	2.73130i	0.113723	+	0.0906914i	−0.564977	+	0.825107i	$0.691115\pi$
$908$	10.5409	−	32.2472i	0.349811	−	1.07016i
$909$	15.0324	+	3.43105i	0.498593	+	0.113801i
$910$	−1.14161	+	0.0705040i	−0.0378440	+	0.00233718i
$911$	3.19085	−	0.728290i	0.105717	−	0.0241293i	−0.169335	−	0.985559i	$-0.554162\pi$
$911$	3.19085	−	0.728290i	0.105717	−	0.0241293i	0.275052	+	0.961429i	$0.411305\pi$
$912$	−12.2553	−	2.26883i	−0.405812	−	0.0751285i
$913$		−	16.5668i		−	0.548283i
$914$	46.4383	−	8.38488i	1.53604	−	0.277347i
$915$	−6.81994	−	3.28431i	−0.225460	−	0.108576i
$916$	38.1619	+	36.6160i	1.26090	+	1.20983i
$917$	−8.01687	−	5.09066i	−0.264740	−	0.168108i
$918$	−2.68033	−	3.69603i	−0.0884640	−	0.121987i
$919$	−8.28965	+	1.89206i	−0.273450	+	0.0624132i	−0.357047	−	0.934086i	$-0.616216\pi$
$919$	−8.28965	+	1.89206i	−0.273450	+	0.0624132i	0.0835967	+	0.996500i	$0.473359\pi$
$920$	−8.83984	+	5.24977i	−0.291441	+	0.173080i
$921$	16.7046	+	8.04450i	0.550434	+	0.265075i
$922$	−17.4969	+	19.9911i	−0.576230	+	0.658372i
$923$	2.08312	−	1.00318i	0.0685669	−	0.0330201i
$924$	−8.46152	−	10.2707i	−0.278364	−	0.337883i
$925$	−25.0368	−	12.0571i	−0.823206	−	0.396435i
$926$	−22.7863	+	9.71549i	−0.748804	+	0.319271i
$927$	−2.72396	+	11.9345i	−0.0894666	+	0.391979i
$928$	−1.47964	−	6.61752i	−0.0485714	−	0.217231i
$929$	−30.5360	+	24.3517i	−1.00185	+	0.798952i	−0.979632	−	0.200801i	$-0.935646\pi$
$929$	−30.5360	+	24.3517i	−1.00185	+	0.798952i	−0.0222220	+	0.999753i	$0.507074\pi$
$930$	12.1719	+	0.557431i	0.399132	+	0.0182789i
$931$	21.2172	+	5.05544i	0.695365	+	0.165685i
$932$	−13.0320	−	1.19615i	−0.426877	−	0.0391812i
$933$	−12.1036	−	15.1774i	−0.396254	−	0.496886i
$934$	−14.9392	−	35.0378i	−0.488826	−	1.14647i
$935$	10.7830	+	2.46116i	0.352643	+	0.0804884i
$936$	−0.604133	+	0.194523i	−0.0197467	+	0.00635819i
$937$	24.8070	−	51.5124i	0.810411	−	1.68284i	0.0830856	−	0.996542i	$-0.473523\pi$
$937$	24.8070	−	51.5124i	0.810411	−	1.68284i	0.727325	−	0.686293i	$-0.240763\pi$
$938$	−1.60455	−	2.86533i	−0.0523903	−	0.0935562i
$939$	11.1173	+	23.0853i	0.362800	+	0.753361i
$940$	1.60266	+	1.53774i	0.0522730	+	0.0501555i
$941$	−4.48364	+	9.31038i	−0.146162	+	0.303510i	−0.961178	−	0.275930i	$-0.911014\pi$
$941$	−4.48364	+	9.31038i	−0.146162	+	0.303510i	0.815015	+	0.579440i	$0.196729\pi$
$942$	3.91197	+	5.39439i	0.127459	+	0.175759i
$943$	0.463270	+	2.02972i	0.0150861	+	0.0660967i
$944$	−16.0066	−	29.9992i	−0.520970	−	0.976390i
$945$	−3.58352	+	0.386519i	−0.116572	+	0.0125735i
$946$	−9.83261	−	8.60585i	−0.319686	−	0.279800i
$947$	−21.3710	+	44.3773i	−0.694464	+	1.44207i	0.193003	+	0.981198i	$0.438177\pi$
$947$	−21.3710	+	44.3773i	−0.694464	+	1.44207i	−0.887467	+	0.460871i	$0.847537\pi$
$948$	31.8253	−	4.25370i	1.03364	−	0.138154i
$949$	−0.445415			−0.0144588
$950$	−0.633834	+	13.8402i	−0.0205643	+	0.449035i
$951$	−4.08491	−	17.8972i	−0.132462	−	0.580356i
$952$	−9.82787	−	22.0696i	−0.318523	−	0.715279i
$953$	−8.15766	+	35.7410i	−0.264252	+	1.15777i	0.652335	+	0.757931i	$0.273790\pi$
$953$	−8.15766	+	35.7410i	−0.264252	+	1.15777i	−0.916587	+	0.399835i	$0.869067\pi$
$954$	4.35779	+	1.20682i	0.141089	+	0.0390723i
$955$	−13.1819	+	16.5296i	−0.426558	+	0.534886i
$956$	10.1710	+	9.75902i	0.328955	+	0.315629i
$957$	−2.93899	−	0.670806i	−0.0950041	−	0.0216841i
$958$	38.5542	+	10.6770i	1.24563	+	0.344959i
$959$	−21.2035	−	13.4641i	−0.684696	−	0.434778i
$960$	10.8847	+	0.546744i	0.351301	+	0.0176461i
$961$	8.99914			0.290295
$962$	−2.80179	−	0.128313i	−0.0903334	−	0.00413697i
$963$	4.16881	−	0.951503i	0.134338	−	0.0306618i
$964$	16.4796	−	27.4716i	0.530771	−	0.884802i
$965$	13.5556	+	10.8103i	0.436371	+	0.347995i
$966$	7.40700	−	6.69401i	0.238316	−	0.215376i
$967$	−28.4693	+	22.7035i	−0.915510	+	0.730095i	−0.963205	−	0.268767i	$-0.913384\pi$
$967$	−28.4693	+	22.7035i	−0.915510	+	0.730095i	0.0476955	+	0.998862i	$0.484812\pi$
$968$	−13.1742	+	1.15046i	−0.423436	+	0.0369772i
$969$	−7.86460	+	6.27181i	−0.252647	+	0.201480i
$970$	11.2243	−	20.8140i	0.360390	−	0.668299i
$971$	13.5305	−	16.9667i	0.434213	−	0.544486i	−0.515795	−	0.856712i	$-0.672503\pi$
$971$	13.5305	−	16.9667i	0.434213	−	0.544486i	0.950008	+	0.312226i	$0.101075\pi$
$972$	−1.87371	+	0.699435i	−0.0600993	+	0.0224344i
$973$	12.8502	−	4.42800i	0.411958	−	0.141955i
$974$	51.8939	+	27.9846i	1.66279	+	0.896683i
$975$	0.306114	+	0.635652i	0.00980350	+	0.0203572i
$976$	−20.4062	−	8.80758i	−0.653187	−	0.281924i
$977$	−41.5049	+	19.9877i	−1.32786	+	0.639463i	−0.957233	−	0.289319i	$-0.906571\pi$
$977$	−41.5049	+	19.9877i	−1.32786	+	0.639463i	−0.370626	+	0.928782i	$0.620857\pi$
$978$	−20.6772	−	28.5127i	−0.661184	−	0.911737i
$979$	11.0952			0.354605
$980$	−18.9749	−	1.92377i	−0.606132	−	0.0614525i
$981$	−11.6155			−0.370855
$982$	9.04647	+	12.4746i	0.288684	+	0.398080i
$983$	−9.81063	+	4.72455i	−0.312910	+	0.150690i	−0.583747	−	0.811936i	$-0.698414\pi$
$983$	−9.81063	+	4.72455i	−0.312910	+	0.150690i	0.270837	+	0.962625i	$0.412700\pi$
$984$	0.780930	−	2.06411i	0.0248952	−	0.0658015i
$985$	9.95263	+	20.6669i	0.317117	+	0.658501i
$986$	−4.81705	−	2.59766i	−0.153406	−	0.0827265i
$987$	−1.82073	−	1.15615i	−0.0579546	−	0.0368008i
$988$	0.489030	+	1.31006i	0.0155581	+	0.0416785i
$989$	6.11218	−	7.66443i	0.194356	−	0.243715i
$990$	2.29970	−	4.26451i	0.0730893	−	0.135535i
$991$	−8.61335	+	6.86892i	−0.273612	+	0.218198i	−0.750676	−	0.660670i	$-0.770272\pi$
$991$	−8.61335	+	6.86892i	−0.273612	+	0.218198i	0.477064	+	0.878868i	$0.341701\pi$
$992$	35.7764	+	0.158267i	1.13590	+	0.00502499i
$993$	20.0058	−	15.9541i	0.634866	−	0.506289i
$994$	36.9864	−	10.8795i	1.17314	−	0.345076i
$995$	−9.56109	−	7.62472i	−0.303107	−	0.241720i
$996$	−11.2983	−	6.77756i	−0.357999	−	0.214755i
$997$	9.76329	−	2.22841i	0.309207	−	0.0705744i	−0.0651019	−	0.997879i	$-0.520737\pi$
$997$	9.76329	−	2.22841i	0.309207	−	0.0705744i	0.374309	+	0.927304i	$0.377880\pi$
$998$	0.855336	+	0.0391715i	0.0270752	+	0.00123995i
$999$	−8.83828			−0.279631

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.139.6	yes	168
4.3	odd	2		588.2.x.a.139.22	yes	168
49.6	odd	14		588.2.x.a.55.22	✓	168
196.55	even	14	inner	588.2.x.b.55.6	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.22	✓	168	49.6	odd	14
588.2.x.a.139.22	yes	168	4.3	odd	2
588.2.x.b.55.6	yes	168	196.55	even	14	inner
588.2.x.b.139.6	yes	168	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14486 + 0.830241i) q^{2} +(0.900969 - 0.433884i) q^{3} +(0.621399 - 1.90102i) q^{4} +(-0.591080 - 1.22739i) q^{5} +(-0.671253 + 1.24476i) q^{6} +(2.62768 + 0.308728i) q^{7} +(0.866889 + 2.69230i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.14486 + 0.830241i) q^{2} +(0.900969 - 0.433884i) q^{3} +(0.621399 - 1.90102i) q^{4} +(-0.591080 - 1.22739i) q^{5} +(-0.671253 + 1.24476i) q^{6} +(2.62768 + 0.308728i) q^{7} +(0.866889 + 2.69230i) q^{8} +(0.623490 - 0.781831i) q^{9} +(1.69573 + 0.914448i) q^{10} +(1.96619 - 1.56798i) q^{11} +(-0.264959 - 1.98237i) q^{12} +(-0.175437 + 0.139906i) q^{13} +(-3.26464 + 1.82816i) q^{14} +(-1.06509 - 0.849380i) q^{15} +(-3.22773 - 2.36258i) q^{16} +(-3.14743 + 0.718380i) q^{17} +(-0.0646984 + 1.41273i) q^{18} +3.11588 q^{19} +(-2.70058 + 0.360954i) q^{20} +(2.50141 - 0.861952i) q^{21} +(-0.949203 + 3.42753i) q^{22} +(-2.60135 - 0.593740i) q^{23} +(1.94919 + 2.04955i) q^{24} +(1.96034 - 2.45819i) q^{25} +(0.0846944 - 0.305828i) q^{26} +(0.222521 - 0.974928i) q^{27} +(2.21973 - 4.80341i) q^{28} +(-0.266738 - 1.16865i) q^{29} +(1.92457 + 0.0881386i) q^{30} +6.32449 q^{31} +(5.65680 + 0.0250245i) q^{32} +(1.09115 - 2.26580i) q^{33} +(3.00693 - 3.43557i) q^{34} +(-1.17424 - 3.40767i) q^{35} +(-1.09884 - 1.67109i) q^{36} +(-1.96670 - 8.61669i) q^{37} +(-3.56724 + 2.58693i) q^{38} +(-0.0973602 + 0.202171i) q^{39} +(2.79211 - 2.65538i) q^{40} +(-0.338541 - 0.702987i) q^{41} +(-2.14813 + 3.06358i) q^{42} +(-1.59410 + 3.31018i) q^{43} +(-1.75898 - 4.71210i) q^{44} +(-1.32814 - 0.303140i) q^{45} +(3.47112 - 1.48000i) q^{46} +(-0.508264 - 0.637342i) q^{47} +(-3.93317 - 0.728152i) q^{48} +(6.80937 + 1.62248i) q^{49} +(-0.203421 + 4.44183i) q^{50} +(-2.52404 + 2.01286i) q^{51} +(0.156948 + 0.420446i) q^{52} +(0.711489 - 3.11723i) q^{53} +(0.554671 + 1.30090i) q^{54} +(-3.08670 - 1.48648i) q^{55} +(1.44671 + 7.34214i) q^{56} +(2.80731 - 1.35193i) q^{57} +(1.27564 + 1.11649i) q^{58} +(7.65877 + 3.68827i) q^{59} +(-2.27653 + 1.49695i) q^{60} +(5.41714 - 1.23643i) q^{61} +(-7.24064 + 5.25085i) q^{62} +(1.87970 - 1.86191i) q^{63} +(-6.49701 + 4.66786i) q^{64} +(0.275417 + 0.132634i) q^{65} +(0.631948 + 3.49994i) q^{66} +0.877687i q^{67} +(-0.590156 + 6.42971i) q^{68} +(-2.60135 + 0.593740i) q^{69} +(4.17352 + 2.92639i) q^{70} +(-10.0455 - 2.29281i) q^{71} +(2.64542 + 1.00086i) q^{72} +(1.55192 + 1.23762i) q^{73} +(9.40552 + 8.23204i) q^{74} +(0.699637 - 3.06531i) q^{75} +(1.93620 - 5.92333i) q^{76} +(5.65059 - 3.51314i) q^{77} +(-0.0563867 - 0.312289i) q^{78} +16.0542i q^{79} +(-0.991961 + 5.35815i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(0.971230 + 0.523750i) q^{82} +(4.10730 - 5.15040i) q^{83} +(-0.0842126 - 5.29083i) q^{84} +(2.74211 + 3.43850i) q^{85} +(-0.923231 - 5.11317i) q^{86} +(-0.747382 - 0.937188i) q^{87} +(5.92596 + 3.93431i) q^{88} +(3.44935 + 2.75076i) q^{89} +(1.77222 - 0.755628i) q^{90} +(-0.504185 + 0.313466i) q^{91} +(-2.74518 + 4.57625i) q^{92} +(5.69817 - 2.74409i) q^{93} +(1.11104 + 0.307685i) q^{94} +(-1.84173 - 3.82439i) q^{95} +(5.10746 - 2.43185i) q^{96} -12.2744i q^{97} +(-9.14281 + 3.79592i) q^{98} -2.51485i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

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