LMFDB - Embedded newform 529.2.c.b.501.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [529,2,Mod(118,529)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(529, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([16])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("529.118"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not minimal)

Newform invariants

comment:select newform

sage:traces = [10,-7,4,-3,-3,-5,6] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

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

Self dual:	no
Analytic conductor:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			501.1
Root			$0.654861 + 0.755750i$ of defining polynomial
Character	$\chi$	$=$	529.501
Dual form			529.2.c.b.170.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.11435 - 0.620830i) q^{2} +(1.64589 - 1.89945i) q^{3} +(2.40255 + 1.54403i) q^{4} +(0.175969 - 1.22389i) q^{5} +(-4.65922 + 2.99430i) q^{6} +(-0.985691 - 2.15836i) q^{7} +(-1.23515 - 1.42544i) q^{8} +(-0.472039 - 3.28310i) q^{9} +(-1.13189 + 2.47850i) q^{10} +(1.83440 - 0.538629i) q^{11} +(6.88714 - 2.02225i) q^{12} +(0.0816181 - 0.178719i) q^{13} +(0.744123 + 5.17549i) q^{14} +(-2.03510 - 2.34863i) q^{15} +(-0.646201 - 1.41498i) q^{16} +(-1.31228 + 0.843349i) q^{17} +(-1.04019 + 7.23470i) q^{18} +(-6.71695 - 4.31672i) q^{19} +(2.31250 - 2.66877i) q^{20} +(-5.72204 - 1.68014i) q^{21} -4.21297 q^{22} -4.74046 q^{24} +(3.33052 + 0.977928i) q^{25} +(-0.283524 + 0.327204i) q^{26} +(-0.669961 - 0.430558i) q^{27} +(0.964395 - 6.70752i) q^{28} +(4.18718 - 2.69094i) q^{29} +(2.84482 + 6.22930i) q^{30} +(-1.16741 - 1.34726i) q^{31} +(1.02468 + 7.12680i) q^{32} +(1.99611 - 4.37088i) q^{33} +(3.29819 - 0.968437i) q^{34} +(-2.81506 + 0.826575i) q^{35} +(3.93510 - 8.61667i) q^{36} +(-0.552641 - 3.84370i) q^{37} +(11.5221 + 13.2972i) q^{38} +(-0.205134 - 0.449181i) q^{39} +(-1.96193 + 1.26086i) q^{40} +(-0.0606967 + 0.422155i) q^{41} +(11.0553 + 7.10483i) q^{42} +(-2.91621 + 3.36548i) q^{43} +(5.23891 + 1.53828i) q^{44} -4.10123 q^{45} -2.58842 q^{47} +(-3.75126 - 1.10147i) q^{48} +(0.897086 - 1.03529i) q^{49} +(-6.43476 - 4.13537i) q^{50} +(-0.557955 + 3.88066i) q^{51} +(0.472039 - 0.303361i) q^{52} +(4.07912 + 8.93203i) q^{53} +(1.14923 + 1.32628i) q^{54} +(-0.336426 - 2.33989i) q^{55} +(-1.85913 + 4.07093i) q^{56} +(-19.2548 + 5.65371i) q^{57} +(-10.5238 + 3.09007i) q^{58} +(-2.99884 + 6.56655i) q^{59} +(-1.26309 - 8.78498i) q^{60} +(-4.86539 - 5.61496i) q^{61} +(1.63189 + 3.57334i) q^{62} +(-6.62084 + 4.25495i) q^{63} +(1.81524 - 12.6253i) q^{64} +(-0.204370 - 0.131341i) q^{65} +(-6.93407 + 8.00234i) q^{66} +(-6.97216 - 2.04721i) q^{67} -4.45497 q^{68} +6.46519 q^{70} +(0.700702 + 0.205745i) q^{71} +(-4.09682 + 4.72798i) q^{72} +(-5.42132 - 3.48407i) q^{73} +(-1.21781 + 8.47004i) q^{74} +(7.33918 - 4.71660i) q^{75} +(-9.47270 - 20.7423i) q^{76} +(-2.97071 - 3.42838i) q^{77} +(0.154861 + 1.07708i) q^{78} +(-2.35876 + 5.16497i) q^{79} +(-1.84550 + 0.541887i) q^{80} +(7.62702 - 2.23949i) q^{81} +(0.390421 - 0.854902i) q^{82} +(1.83440 + 12.7585i) q^{83} +(-11.1533 - 12.8716i) q^{84} +(0.801248 + 1.75449i) q^{85} +(8.25528 - 5.30535i) q^{86} +(1.78031 - 12.3823i) q^{87} +(-3.03354 - 1.94954i) q^{88} +(9.10271 - 10.5051i) q^{89} +(8.67145 + 2.54617i) q^{90} -0.466190 q^{91} -4.48047 q^{93} +(5.47283 + 1.60697i) q^{94} +(-6.46519 + 7.46122i) q^{95} +(15.2235 + 9.78357i) q^{96} +(-0.615337 + 4.27976i) q^{97} +(-2.53950 + 1.63204i) q^{98} +(-2.63428 - 5.76827i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 7 q^{2} + 4 q^{3} - 3 q^{4} - 3 q^{5} - 5 q^{6} + 6 q^{7} + 4 q^{8} + 9 q^{9} - 10 q^{10} - 4 q^{11} + 23 q^{12} + 8 q^{13} - 2 q^{14} - 10 q^{15} - 21 q^{16} + q^{17} + 8 q^{18} - 20 q^{19} + 24 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) $ 10 * q - 7 * q^2 + 4 * q^3 - 3 * q^4 - 3 * q^5 - 5 * q^6 + 6 * q^7 + 4 * q^8 + 9 * q^9 - 10 * q^10 - 4 * q^11 + 23 * q^12 + 8 * q^13 - 2 * q^14 - 10 * q^15 - 21 * q^16 + q^17 + 8 * q^18 - 20 * q^19 + 24 * q^20 - 2 * q^21 - 6 * q^22 - 38 * q^24 - 4 * q^25 + q^26 + 7 * q^27 + 7 * q^28 + 14 * q^29 + 7 * q^30 - q^31 - q^32 + 5 * q^33 + 18 * q^34 - 26 * q^35 + 5 * q^36 - 8 * q^37 + 14 * q^38 + 12 * q^39 - 32 * q^40 + 7 * q^41 + 30 * q^42 + 10 * q^44 - 6 * q^45 - 18 * q^47 - 4 * q^48 + 15 * q^49 - 39 * q^50 - 15 * q^51 - 9 * q^52 - 4 * q^53 - 28 * q^54 - q^55 - 13 * q^56 - 52 * q^57 - 23 * q^58 + q^59 - 8 * q^60 + 14 * q^61 + 15 * q^62 - 10 * q^63 + 2 * q^64 + 24 * q^65 - 42 * q^66 - 32 * q^67 - 30 * q^68 + 38 * q^70 + 19 * q^71 - 14 * q^72 + 19 * q^73 - 34 * q^74 + 16 * q^75 - 16 * q^76 + 2 * q^77 - 4 * q^78 + 40 * q^79 + 3 * q^80 + 33 * q^81 - 17 * q^82 - 4 * q^83 - 17 * q^84 + 3 * q^85 + 22 * q^86 - q^87 - 50 * q^88 + 14 * q^89 + 13 * q^90 - 4 * q^91 + 4 * q^93 + 17 * q^94 - 38 * q^95 + 37 * q^96 + 43 * q^97 - 5 * q^98 + 3 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−2.11435	−	0.620830i	−1.49507	−	0.438993i	−0.570917	−	0.821008i	$-0.693412\pi$
$2$	−2.11435	−	0.620830i	−1.49507	−	0.438993i	−0.924156	+	0.382014i	$0.875231\pi$
$3$	1.64589	−	1.89945i	0.950253	−	1.09665i	−0.0449671	−	0.998988i	$-0.514318\pi$
$3$	1.64589	−	1.89945i	0.950253	−	1.09665i	0.995220	−	0.0976615i	$-0.0311362\pi$
$4$	2.40255	+	1.54403i	1.20128	+	0.772014i
$5$	0.175969	−	1.22389i	0.0786959	−	0.547342i	−0.911888	−	0.410438i	$-0.865376\pi$
$5$	0.175969	−	1.22389i	0.0786959	−	0.547342i	0.990584	−	0.136904i	$-0.0437151\pi$
$6$	−4.65922	+	2.99430i	−1.90212	+	1.22242i
$7$	−0.985691	−	2.15836i	−0.372556	−	0.815784i	−0.999331	−	0.0365834i	$-0.988353\pi$
$7$	−0.985691	−	2.15836i	−0.372556	−	0.815784i	0.626775	−	0.779201i	$-0.284375\pi$
$8$	−1.23515	−	1.42544i	−0.436691	−	0.503968i
$9$	−0.472039	−	3.28310i	−0.157346	−	1.09437i
$10$	−1.13189	+	2.47850i	−0.357935	+	0.783769i
$11$	1.83440	−	0.538629i	0.553093	−	0.162403i	0.00676945	−	0.999977i	$-0.497845\pi$
$11$	1.83440	−	0.538629i	0.553093	−	0.162403i	0.546323	+	0.837574i	$0.316027\pi$
$12$	6.88714	−	2.02225i	1.98815	−	0.583772i
$13$	0.0816181	−	0.178719i	0.0226368	−	0.0495677i	−0.897976	−	0.440045i	$-0.854963\pi$
$13$	0.0816181	−	0.178719i	0.0226368	−	0.0495677i	0.920613	+	0.390477i	$0.127690\pi$
$14$	0.744123	+	5.17549i	0.198875	+	1.38321i
$15$	−2.03510	−	2.34863i	−0.525461	−	0.606415i
$16$	−0.646201	−	1.41498i	−0.161550	−	0.353745i
$17$	−1.31228	+	0.843349i	−0.318274	+	0.204542i	−0.690016	−	0.723794i	$-0.742397\pi$
$17$	−1.31228	+	0.843349i	−0.318274	+	0.204542i	0.371743	+	0.928336i	$0.378760\pi$
$18$	−1.04019	+	7.23470i	−0.245176	+	1.70523i
$19$	−6.71695	−	4.31672i	−1.54097	−	0.990324i	−0.987529	−	0.157439i	$-0.949676\pi$
$19$	−6.71695	−	4.31672i	−1.54097	−	0.990324i	−0.553446	−	0.832885i	$-0.686687\pi$
$20$	2.31250	−	2.66877i	0.517091	−	0.596755i
$21$	−5.72204	−	1.68014i	−1.24865	−	0.366637i
$22$	−4.21297			−0.898208
$23$		0			0
$23$		0			0
$24$	−4.74046			−0.967643
$25$	3.33052	+	0.977928i	0.666103	+	0.195586i
$26$	−0.283524	+	0.327204i	−0.0556036	+	0.0641699i
$27$	−0.669961	−	0.430558i	−0.128934	−	0.0828609i
$28$	0.964395	−	6.70752i	0.182254	−	1.26760i
$29$	4.18718	−	2.69094i	0.777541	−	0.499695i	−0.0906760	−	0.995880i	$-0.528903\pi$
$29$	4.18718	−	2.69094i	0.777541	−	0.499695i	0.868217	+	0.496185i	$0.165266\pi$
$30$	2.84482	+	6.22930i	0.519392	+	1.13731i
$31$	−1.16741	−	1.34726i	−0.209672	−	0.241975i	0.641166	−	0.767402i	$-0.278451\pi$
$31$	−1.16741	−	1.34726i	−0.209672	−	0.241975i	−0.850839	+	0.525427i	$0.823905\pi$
$32$	1.02468	+	7.12680i	0.181139	+	1.25985i
$33$	1.99611	−	4.37088i	0.347479	−	0.760873i
$34$	3.29819	−	0.968437i	0.565635	−	0.166085i
$35$	−2.81506	+	0.826575i	−0.475831	+	0.139717i
$36$	3.93510	−	8.61667i	0.655850	−	1.43611i
$37$	−0.552641	−	3.84370i	−0.0908536	−	0.631900i	−0.983468	−	0.181080i	$-0.942041\pi$
$37$	−0.552641	−	3.84370i	−0.0908536	−	0.631900i	0.892615	−	0.450820i	$-0.148868\pi$
$38$	11.5221	+	13.2972i	1.86913	+	2.15709i
$39$	−0.205134	−	0.449181i	−0.0328477	−	0.0719265i
$40$	−1.96193	+	1.26086i	−0.310208	+	0.199359i
$41$	−0.0606967	+	0.422155i	−0.00947923	+	0.0659295i	−0.994012	−	0.109271i	$-0.965148\pi$
$41$	−0.0606967	+	0.422155i	−0.00947923	+	0.0659295i	0.984533	+	0.175201i	$0.0560574\pi$
$42$	11.0553	+	7.10483i	1.70588	+	1.09630i
$43$	−2.91621	+	3.36548i	−0.444717	+	0.513231i	−0.933207	−	0.359338i	$-0.883002\pi$
$43$	−2.91621	+	3.36548i	−0.444717	+	0.513231i	0.488490	+	0.872569i	$0.337548\pi$
$44$	5.23891	+	1.53828i	0.789795	+	0.231905i
$45$	−4.10123			−0.611375
$46$		0			0
$47$	−2.58842			−0.377559			−0.188780	−	0.982019i	$-0.560453\pi$
$47$	−2.58842			−0.377559			−0.188780	+	0.982019i	$0.560453\pi$
$48$	−3.75126	−	1.10147i	−0.541448	−	0.158984i
$49$	0.897086	−	1.03529i	0.128155	−	0.147899i
$50$	−6.43476	−	4.13537i	−0.910013	−	0.584830i
$51$	−0.557955	+	3.88066i	−0.0781293	+	0.543401i
$52$	0.472039	−	0.303361i	0.0654600	−	0.0420686i
$53$	4.07912	+	8.93203i	0.560311	+	1.22691i	0.951798	+	0.306726i	$0.0992334\pi$
$53$	4.07912	+	8.93203i	0.560311	+	1.22691i	−0.391487	+	0.920183i	$0.628039\pi$
$54$	1.14923	+	1.32628i	0.156391	+	0.180484i
$55$	−0.336426	−	2.33989i	−0.0453637	−	0.315511i
$56$	−1.85913	+	4.07093i	−0.248437	+	0.544002i
$57$	−19.2548	+	5.65371i	−2.55035	+	0.748852i
$58$	−10.5238	+	3.09007i	−1.38184	+	0.405746i
$59$	−2.99884	+	6.56655i	−0.390416	+	0.854891i	0.607737	+	0.794138i	$0.292077\pi$
$59$	−2.99884	+	6.56655i	−0.390416	+	0.854891i	−0.998153	+	0.0607530i	$0.980650\pi$
$60$	−1.26309	−	8.78498i	−0.163064	−	1.13414i
$61$	−4.86539	−	5.61496i	−0.622950	−	0.718922i	0.353315	−	0.935505i	$-0.385055\pi$
$61$	−4.86539	−	5.61496i	−0.622950	−	0.718922i	−0.976264	+	0.216582i	$0.930509\pi$
$62$	1.63189	+	3.57334i	0.207250	+	0.453815i
$63$	−6.62084	+	4.25495i	−0.834147	+	0.536074i
$64$	1.81524	−	12.6253i	0.226905	−	1.57816i
$65$	−0.204370	−	0.131341i	−0.0253490	−	0.0162908i
$66$	−6.93407	+	8.00234i	−0.853525	+	0.985020i
$67$	−6.97216	−	2.04721i	−0.851784	−	0.250106i	−0.173434	−	0.984845i	$-0.555486\pi$
$67$	−6.97216	−	2.04721i	−0.851784	−	0.250106i	−0.678350	+	0.734739i	$0.737305\pi$
$68$	−4.45497			−0.540244
$69$		0			0
$70$	6.46519			0.772738
$71$	0.700702	+	0.205745i	0.0831580	+	0.0244174i	0.323047	−	0.946383i	$-0.395293\pi$
$71$	0.700702	+	0.205745i	0.0831580	+	0.0244174i	−0.239889	+	0.970800i	$0.577111\pi$
$72$	−4.09682	+	4.72798i	−0.482814	+	0.557198i
$73$	−5.42132	−	3.48407i	−0.634518	−	0.407780i	0.183462	−	0.983027i	$-0.441270\pi$
$73$	−5.42132	−	3.48407i	−0.634518	−	0.407780i	−0.817980	+	0.575247i	$0.804906\pi$
$74$	−1.21781	+	8.47004i	−0.141567	+	0.984622i
$75$	7.33918	−	4.71660i	0.847455	−	0.544626i
$76$	−9.47270	−	20.7423i	−1.08659	−	2.37931i
$77$	−2.97071	−	3.42838i	−0.338544	−	0.390700i
$78$	0.154861	+	1.07708i	0.0175345	+	0.121955i
$79$	−2.35876	+	5.16497i	−0.265381	+	0.581104i	−0.994671	−	0.103101i	$-0.967123\pi$
$79$	−2.35876	+	5.16497i	−0.265381	+	0.581104i	0.729290	+	0.684205i	$0.239851\pi$
$80$	−1.84550	+	0.541887i	−0.206333	+	0.0605848i
$81$	7.62702	−	2.23949i	0.847446	−	0.248833i
$82$	0.390421	−	0.854902i	0.0431148	−	0.0944081i
$83$	1.83440	+	12.7585i	0.201352	+	1.40043i	0.800279	+	0.599628i	$0.204685\pi$
$83$	1.83440	+	12.7585i	0.201352	+	1.40043i	−0.598927	+	0.800804i	$0.704406\pi$
$84$	−11.1533	−	12.8716i	−1.21693	−	1.40441i
$85$	0.801248	+	1.75449i	0.0869076	+	0.190301i
$86$	8.25528	−	5.30535i	0.890190	−	0.572090i
$87$	1.78031	−	12.3823i	0.190869	−	1.32753i
$88$	−3.03354	−	1.94954i	−0.323376	−	0.207821i
$89$	9.10271	−	10.5051i	0.964886	−	1.11354i	−0.0286012	−	0.999591i	$-0.509105\pi$
$89$	9.10271	−	10.5051i	0.964886	−	1.11354i	0.993487	−	0.113946i	$-0.0363492\pi$
$90$	8.67145	+	2.54617i	0.914052	+	0.268390i
$91$	−0.466190			−0.0488700
$92$		0			0
$93$	−4.48047			−0.464603
$94$	5.47283	+	1.60697i	0.564479	+	0.165746i
$95$	−6.46519	+	7.46122i	−0.663314	+	0.765505i
$96$	15.2235	+	9.78357i	1.55375	+	0.998532i
$97$	−0.615337	+	4.27976i	−0.0624780	+	0.434544i	0.934442	+	0.356116i	$0.115899\pi$
$97$	−0.615337	+	4.27976i	−0.0624780	+	0.434544i	−0.996920	+	0.0784280i	$0.975010\pi$
$98$	−2.53950	+	1.63204i	−0.256528	+	0.164861i
$99$	−2.63428	−	5.76827i	−0.264755	−	0.579733i
$100$	6.49180	+	7.49193i	0.649180	+	0.749193i
$101$	0.259052	+	1.80175i	0.0257767	+	0.179281i	0.998642	−	0.0520896i	$-0.0165882\pi$
$101$	0.259052	+	1.80175i	0.0257767	+	0.179281i	−0.972866	+	0.231370i	$0.925679\pi$
$102$	3.58895	−	7.85870i	0.355359	−	0.778127i
$103$	14.6929	−	4.31424i	1.44774	−	0.425094i	0.538945	−	0.842341i	$-0.318823\pi$
$103$	14.6929	−	4.31424i	1.44774	−	0.425094i	0.908793	+	0.417247i	$0.137005\pi$
$104$	−0.355563	+	0.104403i	−0.0348658	+	0.0102375i
$105$	−3.06322	+	6.70752i	−0.298940	+	0.654586i
$106$	−3.07943	−	21.4179i	−0.299101	−	2.08029i
$107$	−1.30208	−	1.50268i	−0.125877	−	0.145269i	0.689313	−	0.724464i	$-0.257913\pi$
$107$	−1.30208	−	1.50268i	−0.125877	−	0.145269i	−0.815189	+	0.579195i	$0.803367\pi$
$108$	−0.944825	−	2.06888i	−0.0909158	−	0.199078i
$109$	13.1192	−	8.43118i	1.25659	−	0.807560i	0.268775	−	0.963203i	$-0.413381\pi$
$109$	13.1192	−	8.43118i	1.25659	−	0.807560i	0.987813	+	0.155643i	$0.0497449\pi$
$110$	−0.741353	+	5.15623i	−0.0706853	+	0.491627i
$111$	−8.21051	−	5.27658i	−0.779307	−	0.500830i
$112$	−2.41709	+	2.78947i	−0.228393	+	0.263580i
$113$	1.42796	+	0.419287i	0.134331	+	0.0394432i	0.348207	−	0.937418i	$-0.386791\pi$
$113$	1.42796	+	0.419287i	0.134331	+	0.0394432i	−0.213876	+	0.976861i	$0.568609\pi$
$114$	44.2213			4.14171
$115$		0			0
$116$	14.2148			1.31981
$117$	−0.625279	−	0.183599i	−0.0578071	−	0.0169737i
$118$	10.4173	−	12.0222i	0.958992	−	1.10674i
$119$	3.11375	+	2.00109i	0.285437	+	0.183439i
$120$	−0.834176	+	5.80182i	−0.0761495	+	0.529631i
$121$	−6.17888	+	3.97093i	−0.561717	+	0.360993i
$122$	6.80122	+	14.8926i	0.615754	+	1.34831i
$123$	0.701963	+	0.810109i	0.0632939	+	0.0730451i
$124$	−0.724552	−	5.03937i	−0.0650667	−	0.452549i
$125$	4.35121	−	9.52781i	0.389184	−	0.852194i
$126$	16.6404	−	4.88606i	1.48244	−	0.435285i
$127$	−5.75155	+	1.68881i	−0.510368	+	0.149858i	−0.526770	−	0.850008i	$-0.676597\pi$
$127$	−5.75155	+	1.68881i	−0.510368	+	0.149858i	0.0164020	+	0.999865i	$0.494779\pi$
$128$	−5.69418	+	12.4685i	−0.503299	+	1.10207i
$129$	1.59283	+	11.0784i	0.140241	+	0.975398i
$130$	0.350571	+	0.404581i	0.0307471	+	0.0354841i
$131$	−5.30436	−	11.6149i	−0.463444	−	1.01480i	−0.986689	−	0.162619i	$-0.948006\pi$
$131$	−5.30436	−	11.6149i	−0.463444	−	1.01480i	0.523245	−	0.852182i	$-0.324721\pi$
$132$	11.5445	−	7.41922i	1.00482	−	0.645760i
$133$	−2.69621	+	18.7526i	−0.233791	+	1.62605i
$134$	13.4706	+	8.65705i	1.16369	+	0.747855i
$135$	−0.644850	+	0.744196i	−0.0554998	+	0.0640502i
$136$	2.82299	+	0.828906i	0.242070	+	0.0710781i
$137$	0.697560			0.0595966			0.0297983	−	0.999556i	$-0.490514\pi$
$137$	0.697560			0.0595966			0.0297983	+	0.999556i	$0.490514\pi$
$138$		0			0
$139$	13.9559			1.18372			0.591862	−	0.806039i	$-0.298393\pi$
$139$	13.9559			1.18372			0.591862	+	0.806039i	$0.298393\pi$
$140$	−8.03958	−	2.36063i	−0.679468	−	0.199510i
$141$	−4.26024	+	4.91658i	−0.358777	+	0.414051i
$142$	−1.35380	−	0.870034i	−0.113608	−	0.0730116i
$143$	0.0534573	−	0.371804i	0.00447033	−	0.0310918i
$144$	−4.34050	+	2.78947i	−0.361708	+	0.232456i
$145$	−2.55661	−	5.59819i	−0.212315	−	0.464904i
$146$	9.29958	+	10.7323i	0.769638	+	0.888210i
$147$	−0.489989	−	3.40795i	−0.0404136	−	0.281083i
$148$	4.60703	−	10.0880i	0.378696	−	0.829228i
$149$	15.9650	−	4.68776i	1.30791	−	0.384036i	0.447792	−	0.894138i	$-0.352210\pi$
$149$	15.9650	−	4.68776i	1.30791	−	0.384036i	0.860114	+	0.510102i	$0.170392\pi$
$150$	−18.4458	+	5.41618i	−1.50610	+	0.442229i
$151$	5.47931	−	11.9980i	0.445900	−	0.976385i	−0.544578	−	0.838710i	$-0.683310\pi$
$151$	5.47931	−	11.9980i	0.445900	−	0.976385i	0.990478	−	0.137674i	$-0.0439627\pi$
$152$	2.14321	+	14.9064i	0.173838	+	1.20907i
$153$	3.38825	+	3.91024i	0.273923	+	0.316124i
$154$	4.15269	+	9.09311i	0.334633	+	0.732744i
$155$	−1.85433	+	1.19170i	−0.148943	+	0.0957200i
$156$	0.200702	−	1.39591i	0.0160690	−	0.111763i
$157$	3.47326	+	2.23213i	0.277197	+	0.178143i	0.671851	−	0.740686i	$-0.265499\pi$
$157$	3.47326	+	2.23213i	0.277197	+	0.178143i	−0.394655	+	0.918830i	$0.629136\pi$
$158$	8.19382	−	9.45617i	0.651865	−	0.752293i
$159$	23.6798	+	6.95300i	1.87793	+	0.551409i
$160$	8.90276			0.703825
$161$		0			0
$162$	−17.5166			−1.37623
$163$	14.1902	+	4.16663i	1.11147	+	0.326356i	0.785398	−	0.618991i	$-0.212458\pi$
$163$	14.1902	+	4.16663i	1.11147	+	0.326356i	0.326067	+	0.945347i	$0.394276\pi$
$164$	−0.797646	+	0.920532i	−0.0622857	+	0.0718815i
$165$	−4.99824	−	3.21217i	−0.389112	−	0.250067i
$166$	4.04231	−	28.1149i	0.313744	−	2.18214i
$167$	1.11865	−	0.718914i	0.0865639	−	0.0556312i	−0.496643	−	0.867955i	$-0.665434\pi$
$167$	1.11865	−	0.718914i	0.0865639	−	0.0556312i	0.583207	+	0.812324i	$0.301798\pi$
$168$	4.67263	+	10.2316i	0.360501	+	0.789388i
$169$	8.48791	+	9.79557i	0.652916	+	0.753505i
$170$	−0.604882	−	4.20705i	−0.0463924	−	0.322666i
$171$	−11.0016	+	24.0901i	−0.841312	+	1.84222i
$172$	−12.2027	+	3.58305i	−0.930450	+	0.273205i
$173$	16.2500	−	4.77144i	1.23547	−	0.362766i	0.402156	−	0.915571i	$-0.368261\pi$
$173$	16.2500	−	4.77144i	1.23547	−	0.362766i	0.833310	+	0.552806i	$0.186443\pi$
$174$	−11.4515	+	25.0754i	−0.868139	+	1.90096i
$175$	−1.17214	−	8.15239i	−0.0886052	−	0.616263i
$176$	−1.94754	−	2.24758i	−0.146801	−	0.169418i
$177$	7.53710	+	16.5039i	0.566523	+	1.24051i
$178$	−25.7682	+	16.5602i	−1.93141	+	1.24124i
$179$	0.203702	−	1.41678i	0.0152254	−	0.105895i	−0.980792	−	0.195059i	$-0.937510\pi$
$179$	0.203702	−	1.41678i	0.0152254	−	0.105895i	0.996017	+	0.0891635i	$0.0284194\pi$
$180$	−9.85343	−	6.33242i	−0.734431	−	0.471990i
$181$	10.5638	−	12.1913i	0.785201	−	0.906170i	−0.212273	−	0.977210i	$-0.568087\pi$
$181$	10.5638	−	12.1913i	0.785201	−	0.906170i	0.997473	+	0.0710407i	$0.0226320\pi$
$182$	0.985691	+	0.289425i	0.0730643	+	0.0214536i
$183$	−18.6732			−1.38037
$184$		0			0
$185$	−4.80153			−0.353015
$186$	9.47331	+	2.78161i	0.694617	+	0.203958i
$187$	−1.95299	+	2.25387i	−0.142817	+	0.164819i
$188$	−6.21881	−	3.99659i	−0.453554	−	0.291481i
$189$	−0.268925	+	1.87042i	−0.0195614	+	0.136053i
$190$	18.3018	−	11.7619i	1.32776	−	0.853297i
$191$	−8.61757	−	18.8699i	−0.623546	−	1.36537i	−0.912912	−	0.408156i	$-0.866172\pi$
$191$	−8.61757	−	18.8699i	−0.623546	−	1.36537i	0.289366	−	0.957218i	$-0.406555\pi$
$192$	−20.9935	−	24.2278i	−1.51507	−	1.74849i
$193$	−2.08523	−	14.5031i	−0.150098	−	1.04396i	−0.916051	−	0.401061i	$-0.868642\pi$
$193$	−2.08523	−	14.5031i	−0.150098	−	1.04396i	0.765953	−	0.642896i	$-0.222267\pi$
$194$	3.95804	−	8.66691i	0.284171	−	0.622248i
$195$	−0.585846	+	0.172020i	−0.0419533	+	0.0123186i
$196$	3.75382	−	1.10222i	0.268130	−	0.0787301i
$197$	4.85118	−	10.6226i	0.345632	−	0.756828i	−0.654368	−	0.756176i	$-0.727065\pi$
$197$	4.85118	−	10.6226i	0.345632	−	0.756828i	1.00000		0.000651969i	$-0.000207528\pi$
$198$	1.98869	+	13.8316i	0.141330	+	0.982970i
$199$	3.74804	+	4.32546i	0.265691	+	0.306624i	0.872881	−	0.487933i	$-0.162249\pi$
$199$	3.74804	+	4.32546i	0.265691	+	0.306624i	−0.607190	+	0.794557i	$0.707703\pi$
$200$	−2.71970	−	5.95532i	−0.192312	−	0.421105i
$201$	−15.3640	+	9.87381i	−1.08369	+	0.696445i
$202$	0.570852	−	3.97036i	0.0401650	−	0.279354i
$203$	−9.93529	−	6.38502i	−0.697321	−	0.448141i
$204$	−7.33237	+	8.46200i	−0.513368	+	0.592459i
$205$	0.505992	+	0.148573i	0.0353400	+	0.0103768i
$206$	−33.7445			−2.35109
$207$		0			0
$208$	−0.305626			−0.0211913
$209$	−14.6467	−	4.30066i	−1.01313	−	0.297483i
$210$	10.6410	−	12.2803i	0.734296	−	0.847423i
$211$	−11.8345	−	7.60559i	−0.814723	−	0.523591i	0.0656667	−	0.997842i	$-0.479083\pi$
$211$	−11.8345	−	7.60559i	−0.814723	−	0.523591i	−0.880390	+	0.474251i	$0.842719\pi$
$212$	−3.99099	+	27.7580i	−0.274103	+	1.90643i
$213$	1.54408	−	0.992319i	0.105798	−	0.0679926i
$214$	1.82014	+	3.98556i	0.124423	+	0.272447i
$215$	3.60583	+	4.16135i	0.245915	+	0.283801i
$216$	0.213768	+	1.48679i	0.0145451	+	0.101163i
$217$	−1.75717	+	3.84767i	−0.119285	+	0.261197i
$218$	−32.9729	+	9.68171i	−2.23321	+	0.655728i
$219$	−15.5407	+	4.56317i	−1.05014	+	0.308350i
$220$	2.80458	−	6.14117i	0.189085	−	0.414038i
$221$	0.0436167	+	0.303361i	0.00293398	+	0.0204063i
$222$	14.0841	+	16.2539i	0.945261	+	1.09089i
$223$	−1.74623	−	3.82372i	−0.116936	−	0.256055i	0.842109	−	0.539307i	$-0.181314\pi$
$223$	−1.74623	−	3.82372i	−0.116936	−	0.256055i	−0.959045	+	0.283252i	$0.908587\pi$
$224$	14.3722	−	9.23645i	0.960283	−	0.617136i
$225$	1.63850	−	11.3960i	0.109234	−	0.759736i
$226$	−2.75891	−	1.77304i	−0.183520	−	0.117941i
$227$	−12.0696	+	13.9290i	−0.801087	+	0.924503i	−0.998440	−	0.0558291i	$-0.982220\pi$
$227$	−12.0696	+	13.9290i	−0.801087	+	0.924503i	0.197354	+	0.980332i	$0.436765\pi$
$228$	−54.9901	−	16.1465i	−3.64181	−	1.06933i
$229$	10.9247			0.721923			0.360961	−	0.932581i	$-0.382449\pi$
$229$	10.9247			0.721923			0.360961	+	0.932581i	$0.382449\pi$
$230$		0			0
$231$	−11.4015			−0.750163
$232$	−9.00755	−	2.64486i	−0.591375	−	0.173643i
$233$	−2.72738	+	3.14757i	−0.178677	+	0.206204i	−0.838022	−	0.545636i	$-0.816288\pi$
$233$	−2.72738	+	3.14757i	−0.178677	+	0.206204i	0.659345	+	0.751840i	$0.270834\pi$
$234$	1.20808	+	0.776384i	0.0789745	+	0.0507538i
$235$	−0.455482	+	3.16795i	−0.0297124	+	0.206654i
$236$	−17.3438	+	11.1462i	−1.12899	+	0.725555i
$237$	5.92836	+	12.9813i	0.385088	+	0.843226i
$238$	−5.34123	−	6.16411i	−0.346221	−	0.399560i
$239$	3.20452	+	22.2880i	0.207283	+	1.44169i	0.781971	+	0.623315i	$0.214215\pi$
$239$	3.20452	+	22.2880i	0.207283	+	1.44169i	−0.574687	+	0.818373i	$0.694876\pi$
$240$	−2.00819	+	4.39732i	−0.129628	+	0.283846i
$241$	−5.68896	+	1.67043i	−0.366458	+	0.107602i	−0.459777	−	0.888034i	$-0.652071\pi$
$241$	−5.68896	+	1.67043i	−0.366458	+	0.107602i	0.0933187	+	0.995636i	$0.470252\pi$
$242$	15.5296	−	4.55991i	0.998281	−	0.293122i
$243$	9.29187	−	20.3464i	0.596074	−	1.30522i
$244$	−3.01971	−	21.0026i	−0.193317	−	1.34455i
$245$	−1.10923	−	1.28012i	−0.0708660	−	0.0817837i
$246$	−0.981259	−	2.14866i	−0.0625628	−	0.136993i
$247$	−1.31970	+	0.848123i	−0.0839708	+	0.0539648i
$248$	−0.478513	+	3.32813i	−0.0303856	+	0.211336i
$249$	27.2535	+	17.5147i	1.72712	+	1.10995i
$250$	−15.1151	+	17.4438i	−0.955966	+	1.10324i
$251$	1.48780	+	0.436858i	0.0939092	+	0.0275742i	0.328350	−	0.944556i	$-0.393508\pi$
$251$	1.48780	+	0.436858i	0.0939092	+	0.0275742i	−0.234440	+	0.972130i	$0.575326\pi$
$252$	−22.4767			−1.41590
$253$		0			0
$254$	13.2093			0.828824
$255$	4.65133	+	1.36575i	0.291278	+	0.0855269i
$256$	3.07468	−	3.54837i	0.192168	−	0.221773i
$257$	23.0990	+	14.8449i	1.44088	+	0.925997i	0.999590	+	0.0286314i	$0.00911491\pi$
$257$	23.0990	+	14.8449i	1.44088	+	0.925997i	0.441289	+	0.897365i	$0.354521\pi$
$258$	3.50999	−	24.4125i	0.218523	−	1.51986i
$259$	−7.75136	+	4.98150i	−0.481646	+	0.309535i
$260$	−0.288217	−	0.631107i	−0.0178745	−	0.0391396i
$261$	−10.8111	−	12.4767i	−0.669193	−	0.772290i
$262$	4.00440	+	27.8512i	0.247392	+	1.72065i
$263$	−5.37576	+	11.7713i	−0.331484	+	0.725848i	−0.999838	−	0.0179951i	$-0.994272\pi$
$263$	−5.37576	+	11.7713i	−0.331484	+	0.725848i	0.668355	+	0.743843i	$0.266999\pi$
$264$	−8.69591	+	2.55335i	−0.535196	+	0.157148i
$265$	11.6497	−	3.42065i	0.715633	−	0.210129i
$266$	17.3429	−	37.9757i	1.06336	−	2.32844i
$267$	−4.97191	−	34.5804i	−0.304276	−	2.11628i
$268$	−13.5900	−	15.6837i	−0.830144	−	0.958037i
$269$	−4.15318	−	9.09419i	−0.253224	−	0.554483i	0.739741	−	0.672892i	$-0.234948\pi$
$269$	−4.15318	−	9.09419i	−0.253224	−	0.554483i	−0.992965	+	0.118409i	$0.962221\pi$
$270$	1.82546	−	1.17315i	0.111094	−	0.0713957i
$271$	−0.627807	+	4.36649i	−0.0381365	+	0.265245i	−0.999965	−	0.00840891i	$-0.997323\pi$
$271$	−0.627807	+	4.36649i	−0.0381365	+	0.265245i	0.961828	+	0.273654i	$0.0882324\pi$
$272$	2.04132	+	1.31187i	0.123773	+	0.0795441i
$273$	−0.767296	+	0.885506i	−0.0464388	+	0.0535933i
$274$	−1.47489	−	0.433066i	−0.0891013	−	0.0261625i
$275$	6.63624			0.400180
$276$		0			0
$277$	−30.8042			−1.85085			−0.925423	−	0.378935i	$-0.876290\pi$
$277$	−30.8042			−1.85085			−0.925423	+	0.378935i	$0.876290\pi$
$278$	−29.5077	−	8.66425i	−1.76976	−	0.519647i
$279$	−3.87213	+	4.46867i	−0.231818	+	0.267533i
$280$	4.65524	+	2.99174i	0.278204	+	0.178791i
$281$	0.509389	−	3.54288i	0.0303876	−	0.211350i	−0.968970	−	0.247177i	$-0.920497\pi$
$281$	0.509389	−	3.54288i	0.0303876	−	0.211350i	0.999358	+	0.0358263i	$0.0114063\pi$
$282$	12.0600	−	7.75050i	0.718163	−	0.461536i
$283$	6.14000	+	13.4447i	0.364985	+	0.799206i	0.999651	+	0.0264195i	$0.00841055\pi$
$283$	6.14000	+	13.4447i	0.364985	+	0.799206i	−0.634666	+	0.772787i	$0.718862\pi$
$284$	1.36580	+	1.57622i	0.0810453	+	0.0935312i
$285$	3.53129	+	24.5606i	0.209175	+	1.45485i
$286$	−0.343855	+	0.752937i	−0.0203326	+	0.0445221i
$287$	0.970991	−	0.285109i	0.0573158	−	0.0168294i
$288$	22.9143	−	6.72826i	1.35024	−	0.396466i
$289$	−6.05122	+	13.2503i	−0.355954	+	0.779431i
$290$	1.93005	+	13.4238i	0.113336	+	0.788271i
$291$	7.11643	+	8.21280i	0.417173	+	0.481443i
$292$	−7.64552	−	16.7413i	−0.447420	−	0.979713i
$293$	18.0983	−	11.6311i	1.05731	−	0.679493i	0.108103	−	0.994140i	$-0.465522\pi$
$293$	18.0983	−	11.6311i	1.05731	−	0.679493i	0.949209	+	0.314646i	$0.101886\pi$
$294$	−1.07975	+	7.50981i	−0.0629721	+	0.437981i
$295$	7.50905	+	4.82577i	0.437194	+	0.280967i
$296$	−4.79636	+	5.53529i	−0.278783	+	0.321732i
$297$	−1.46089	−	0.428955i	−0.0847693	−	0.0248905i
$298$	−36.6660			−2.12401
$299$		0			0
$300$	24.9153			1.43849
$301$	10.1384	+	2.97690i	0.584368	+	0.171586i
$302$	−19.0339	+	21.9663i	−1.09528	+	1.26402i
$303$	3.84871	+	2.47342i	0.221103	+	0.142094i
$304$	−1.76759	+	12.2938i	−0.101378	+	0.705100i
$305$	−7.72828	+	4.96666i	−0.442520	+	0.284390i
$306$	−4.73635	−	10.3712i	−0.270759	−	0.592880i
$307$	−9.26297	−	10.6900i	−0.528665	−	0.610112i	0.427114	−	0.904198i	$-0.359530\pi$
$307$	−9.26297	−	10.6900i	−0.528665	−	0.610112i	−0.955779	+	0.294086i	$0.904985\pi$
$308$	−1.84377	−	12.8237i	−0.105059	−	0.730699i
$309$	15.9882	−	35.0093i	0.909537	−	1.99161i
$310$	4.66055	−	1.36846i	0.264702	−	0.0777234i
$311$	−0.547045	+	0.160627i	−0.0310201	+	0.00910831i	−0.297206	−	0.954813i	$-0.596055\pi$
$311$	−0.547045	+	0.160627i	−0.0310201	+	0.00910831i	0.266186	+	0.963922i	$0.414237\pi$
$312$	−0.386908	+	0.847210i	−0.0219043	+	0.0479638i
$313$	3.00750	+	20.9176i	0.169994	+	1.18233i	0.878891	+	0.477023i	$0.158284\pi$
$313$	3.00750	+	20.9176i	0.169994	+	1.18233i	−0.708897	+	0.705312i	$0.750807\pi$
$314$	−5.95793	−	6.87582i	−0.336225	−	0.388025i
$315$	4.04255	+	8.85194i	0.227772	+	0.498750i
$316$	−13.6419	+	8.76712i	−0.767417	+	0.493189i
$317$	1.25410	−	8.72244i	0.0704371	−	0.489901i	−0.923815	−	0.382839i	$-0.874946\pi$
$317$	1.25410	−	8.72244i	0.0704371	−	0.489901i	0.994252	−	0.107062i	$-0.0341444\pi$
$318$	−45.7507	−	29.4022i	−2.56557	−	1.64879i
$319$	6.23156	−	7.19160i	0.348900	−	0.402652i
$320$	−15.1326	−	4.44333i	−0.845937	−	0.248390i
$321$	−4.99734			−0.278924
$322$		0			0
$323$	12.4550			0.693015
$324$	21.7822	+	6.39582i	1.21012	+	0.355323i
$325$	0.446605	−	0.515409i	0.0247732	−	0.0285898i
$326$	−27.4164	−	17.6195i	−1.51845	−	0.975852i
$327$	5.57802	−	38.7960i	0.308465	−	2.14542i
$328$	0.676724	−	0.434904i	0.0373658	−	0.0240136i
$329$	2.55138	+	5.58674i	0.140662	+	0.308007i
$330$	8.57383	+	9.89472i	0.471974	+	0.544687i
$331$	−4.29613	−	29.8802i	−0.236137	−	1.64237i	−0.670703	−	0.741726i	$-0.734007\pi$
$331$	−4.29613	−	29.8802i	−0.236137	−	1.64237i	0.434566	−	0.900640i	$-0.356902\pi$
$332$	−15.2923	+	33.4854i	−0.839274	+	1.83775i
$333$	−12.3584	+	3.62875i	−0.677236	+	0.198854i
$334$	−2.81155	+	0.825545i	−0.153841	+	0.0451718i
$335$	−3.73245	+	8.17293i	−0.203926	+	0.446535i
$336$	1.32021	+	9.18230i	0.0720236	+	0.500935i
$337$	3.24534	+	3.74532i	0.176785	+	0.204020i	0.837226	−	0.546858i	$-0.184176\pi$
$337$	3.24534	+	3.74532i	0.176785	+	0.204020i	−0.660441	+	0.750878i	$0.729631\pi$
$338$	−11.8651	−	25.9809i	−0.645374	−	1.41317i
$339$	3.14668	−	2.02225i	0.170904	−	0.109833i
$340$	−0.783938	+	5.45241i	−0.0425150	+	0.295698i
$341$	−2.86716	−	1.84261i	−0.155266	−	0.0997832i
$342$	38.2171	−	44.1049i	2.06654	−	2.38492i
$343$	−19.0555	−	5.59519i	−1.02890	−	0.302112i
$344$	8.39923			0.452856
$345$		0			0
$346$	−37.3205			−2.00636
$347$	6.49285	+	1.90647i	0.348554	+	0.102345i	0.451323	−	0.892360i	$-0.350952\pi$
$347$	6.49285	+	1.90647i	0.348554	+	0.102345i	−0.102769	+	0.994705i	$0.532770\pi$
$348$	23.3960	−	27.0004i	1.25416	−	1.44737i
$349$	8.48980	+	5.45606i	0.454449	+	0.292056i	0.747770	−	0.663957i	$-0.231124\pi$
$349$	8.48980	+	5.45606i	0.454449	+	0.292056i	−0.293322	+	0.956014i	$0.594761\pi$
$350$	−2.58294	+	17.9647i	−0.138064	+	0.960255i
$351$	−0.131630	+	0.0845933i	−0.00702588	+	0.00451526i
$352$	5.71837	+	12.5215i	0.304790	+	0.667398i
$353$	−16.0240	−	18.4926i	−0.852869	−	0.984264i	0.147119	−	0.989119i	$-0.453000\pi$
$353$	−16.0240	−	18.4926i	−0.852869	−	0.984264i	−0.999988	+	0.00485521i	$0.998455\pi$
$354$	−5.68994	−	39.5744i	−0.302417	−	2.10336i
$355$	0.375112	−	0.821380i	0.0199089	−	0.0435943i
$356$	38.0899	−	11.1842i	2.01876	−	0.592762i
$357$	8.92584	−	2.62086i	0.472406	−	0.138711i
$358$	−1.31028	+	2.86911i	−0.0692504	+	0.151637i
$359$	−0.0596033	−	0.414550i	−0.00314574	−	0.0218791i	0.988188	−	0.153246i	$-0.0489726\pi$
$359$	−0.0596033	−	0.414550i	−0.00314574	−	0.0218791i	−0.991334	+	0.131367i	$0.958064\pi$
$360$	5.06563	+	5.84604i	0.266982	+	0.308114i
$361$	18.5905	+	40.7074i	0.978446	+	2.14250i
$362$	−29.9043	+	19.2183i	−1.57174	+	1.01009i
$363$	−2.62714	+	18.2722i	−0.137889	+	0.959041i
$364$	−1.12005	−	0.719811i	−0.0587064	−	0.0377283i
$365$	−5.21812	+	6.02203i	−0.273129	+	0.315208i
$366$	39.4818	+	11.5929i	2.06375	+	0.605971i
$367$	28.5682			1.49125			0.745624	−	0.666367i	$-0.232151\pi$
$367$	28.5682			1.49125			0.745624	+	0.666367i	$0.232151\pi$
$368$		0			0
$369$	1.41463			0.0736426
$370$	10.1521	+	2.98093i	0.527784	+	0.154971i
$371$	15.2578	−	17.6084i	0.792146	−	0.914185i
$372$	−10.7646	−	6.91798i	−0.558118	−	0.358680i
$373$	−2.05044	+	14.2611i	−0.106168	+	0.738413i	0.865302	+	0.501250i	$0.167126\pi$
$373$	−2.05044	+	14.2611i	−0.106168	+	0.738413i	−0.971470	+	0.237162i	$0.923783\pi$
$374$	5.52858	−	3.55300i	0.285876	−	0.183721i
$375$	−10.9360	−	23.9466i	−0.564735	−	1.23660i
$376$	3.19708	+	3.68962i	0.164877	+	0.190278i
$377$	−0.139171	−	0.967958i	−0.00716769	−	0.0498524i
$378$	1.72981	−	3.78776i	0.0889720	−	0.194822i
$379$	5.39919	−	1.58534i	0.277338	−	0.0814336i	−0.140106	−	0.990137i	$-0.544744\pi$
$379$	5.39919	−	1.58534i	0.277338	−	0.0814336i	0.417444	+	0.908703i	$0.362926\pi$
$380$	−27.0533	+	7.94356i	−1.38780	+	0.407496i
$381$	−6.25859	+	13.7044i	−0.320637	+	0.702097i
$382$	6.50562	+	45.2476i	0.332857	+	2.31507i
$383$	−0.151705	−	0.175077i	−0.00775177	−	0.00894601i	0.751860	−	0.659322i	$-0.229157\pi$
$383$	−0.151705	−	0.175077i	−0.00775177	−	0.00894601i	−0.759612	+	0.650376i	$0.774611\pi$
$384$	14.3114	+	31.3376i	0.730325	+	1.59919i
$385$	−4.71872	+	3.03254i	−0.240488	+	0.154553i
$386$	−4.59505	+	31.9593i	−0.233882	+	1.62669i
$387$	12.4258	+	7.98557i	0.631638	+	0.405929i
$388$	−8.08645	+	9.33226i	−0.410527	+	0.473774i
$389$	28.9477	+	8.49982i	1.46771	+	0.430958i	0.915353	−	0.402651i	$-0.131911\pi$
$389$	28.9477	+	8.49982i	1.46771	+	0.430958i	0.552355	+	0.833609i	$0.313729\pi$
$390$	1.34548			0.0681311
$391$		0			0
$392$	−2.58378			−0.130500
$393$	−30.7924	−	9.04146i	−1.55327	−	0.456081i
$394$	−16.8519	+	19.4482i	−0.848988	+	0.979784i
$395$	5.90630	+	3.79575i	0.297178	+	0.190985i
$396$	2.57737	−	17.9260i	0.129518	−	0.900815i
$397$	−10.9744	+	7.05281i	−0.550788	+	0.353970i	−0.786245	−	0.617915i	$-0.787978\pi$
$397$	−10.9744	+	7.05281i	−0.550788	+	0.353970i	0.235457	+	0.971885i	$0.424341\pi$
$398$	−5.23929	−	11.4725i	−0.262622	−	0.575062i
$399$	31.1820	+	35.9859i	1.56105	+	1.80155i
$400$	−0.768431	−	5.34456i	−0.0384216	−	0.267228i
$401$	−8.85904	+	19.3986i	−0.442399	+	0.968719i	0.548753	+	0.835985i	$0.315103\pi$
$401$	−8.85904	+	19.3986i	−0.442399	+	0.968719i	−0.991152	+	0.132734i	$0.957624\pi$
$402$	38.6148	−	11.3383i	1.92593	−	0.565504i
$403$	−0.336062	+	0.0986767i	−0.0167404	+	0.00491544i
$404$	−2.15956	+	4.72879i	−0.107442	+	0.235266i
$405$	−1.39878	−	9.72874i	−0.0695060	−	0.483425i
$406$	17.0427	+	19.6683i	0.845815	+	0.976123i
$407$	−3.08409	−	6.75322i	−0.152873	−	0.334745i
$408$	6.22079	−	3.99786i	0.307975	−	0.197924i
$409$	1.30204	−	9.05590i	0.0643818	−	0.447785i	−0.931976	−	0.362519i	$-0.881917\pi$
$409$	1.30204	−	9.05590i	0.0643818	−	0.447785i	0.996358	−	0.0852664i	$-0.0271741\pi$
$410$	−0.977607	−	0.628270i	−0.0482806	−	0.0310280i
$411$	1.14810	−	1.32498i	0.0566318	−	0.0653566i
$412$	41.9619	+	12.3211i	2.06731	+	0.607018i
$413$	17.1289			0.842859
$414$		0			0
$415$	15.9379			0.782360
$416$	1.35733	+	0.398547i	0.0665484	+	0.0195404i
$417$	22.9698	−	26.5086i	1.12484	−	1.29813i
$418$	28.2983	+	18.1862i	1.38412	+	0.889517i
$419$	1.27716	−	8.88285i	0.0623934	−	0.433956i	−0.934550	−	0.355831i	$-0.884198\pi$
$419$	1.27716	−	8.88285i	0.0623934	−	0.433956i	0.996944	−	0.0781244i	$-0.0248931\pi$
$420$	−17.7161	+	11.3855i	−0.864459	+	0.555554i
$421$	13.0741	+	28.6282i	0.637191	+	1.39525i	0.902331	+	0.431043i	$0.141854\pi$
$421$	13.0741	+	28.6282i	0.637191	+	1.39525i	−0.265141	+	0.964210i	$0.585418\pi$
$422$	20.3006	+	23.4282i	0.988218	+	1.14046i
$423$	1.22183	+	8.49804i	0.0594076	+	0.413189i
$424$	7.69373	−	16.8469i	0.373640	−	0.818158i
$425$	−5.19529	+	1.52547i	−0.252009	+	0.0739964i
$426$	−3.88079	+	1.13950i	−0.188025	+	0.0552091i
$427$	−7.32335	+	16.0359i	−0.354402	+	0.776031i
$428$	−0.808136	−	5.62071i	−0.0390627	−	0.271687i
$429$	−0.618239	−	0.713486i	−0.0298489	−	0.0344474i
$430$	−5.04050	−	11.0372i	−0.243075	−	0.532259i
$431$	−18.5937	+	11.9495i	−0.895628	+	0.575585i	−0.905491	−	0.424366i	$-0.860497\pi$
$431$	−18.5937	+	11.9495i	−0.895628	+	0.575585i	0.00986260	+	0.999951i	$0.496861\pi$
$432$	−0.176302	+	1.22621i	−0.00848235	+	0.0589960i
$433$	10.6799	+	6.86357i	0.513244	+	0.329842i	0.771495	−	0.636236i	$-0.219510\pi$
$433$	10.6799	+	6.86357i	0.513244	+	0.329842i	−0.258250	+	0.966078i	$0.583146\pi$
$434$	6.10403	−	7.04442i	0.293003	−	0.338143i
$435$	−14.8414	−	4.35782i	−0.711590	−	0.208942i
$436$	44.5375			2.13296
$437$		0			0
$438$	35.6915			1.70541
$439$	−17.6748	−	5.18980i	−0.843573	−	0.247695i	−0.168735	−	0.985661i	$-0.553968\pi$
$439$	−17.6748	−	5.18980i	−0.843573	−	0.247695i	−0.674838	+	0.737966i	$0.735787\pi$
$440$	−2.91983	+	3.36967i	−0.139198	+	0.160643i
$441$	−3.82243	−	2.45653i	−0.182021	−	0.116978i
$442$	0.0961145	−	0.668491i	0.00457170	−	0.0317969i
$443$	−11.7042	+	7.52182i	−0.556082	+	0.357372i	−0.788300	−	0.615292i	$-0.789038\pi$
$443$	−11.7042	+	7.52182i	−0.556082	+	0.357372i	0.232217	+	0.972664i	$0.425402\pi$
$444$	−11.5790	−	25.3545i	−0.549516	−	1.20327i
$445$	−11.2553	−	12.9893i	−0.533553	−	0.615753i
$446$	1.31827	+	9.16880i	0.0624221	+	0.434155i
$447$	17.3724	−	38.0403i	0.821688	−	1.79925i
$448$	−29.0392	+	8.52668i	−1.37197	+	0.402848i
$449$	−28.8735	+	8.47803i	−1.36263	+	0.400103i	−0.879688	−	0.475552i	$-0.842248\pi$
$449$	−28.8735	+	8.47803i	−1.36263	+	0.400103i	−0.482938	+	0.875655i	$0.660430\pi$
$450$	−10.5394	+	23.0780i	−0.496831	+	1.08791i
$451$	0.116043	+	0.807094i	0.00546423	+	0.0380046i
$452$	2.78336	+	3.21217i	0.130918	+	0.151088i
$453$	−13.7714	−	30.1551i	−0.647035	−	1.41681i
$454$	34.1669	−	21.9578i	1.60353	−	1.03053i
$455$	−0.0820351	+	0.570567i	−0.00384587	+	0.0267486i
$456$	31.8415	+	20.4633i	1.49111	+	0.958280i
$457$	−24.9158	+	28.7544i	−1.16551	+	1.34507i	−0.238009	+	0.971263i	$0.576495\pi$
$457$	−24.9158	+	28.7544i	−1.16551	+	1.34507i	−0.927505	+	0.373812i	$0.878051\pi$
$458$	−23.0986	−	6.78237i	−1.07933	−	0.316919i
$459$	1.24228			0.0579849
$460$		0			0
$461$	8.76016			0.408001			0.204001	−	0.978971i	$-0.434606\pi$
$461$	8.76016			0.408001			0.204001	+	0.978971i	$0.434606\pi$
$462$	24.1068	+	7.07839i	1.12155	+	0.329317i
$463$	18.2292	−	21.0376i	0.847181	−	0.977699i	−0.152763	−	0.988263i	$-0.548817\pi$
$463$	18.2292	−	21.0376i	0.847181	−	0.977699i	0.999944	+	0.0105636i	$0.00336255\pi$
$464$	−6.51339	−	4.18590i	−0.302377	−	0.194326i
$465$	−0.788426	+	5.48362i	−0.0365624	+	0.254297i
$466$	7.72076	−	4.96183i	0.357657	−	0.229852i
$467$	−7.21424	−	15.7970i	−0.333835	−	0.730997i	0.666054	−	0.745904i	$-0.267982\pi$
$467$	−7.21424	−	15.7970i	−0.333835	−	0.730997i	−0.999889	+	0.0149067i	$0.995255\pi$
$468$	−1.21879	−	1.40655i	−0.0563384	−	0.0650180i
$469$	2.45377	+	17.0664i	0.113305	+	0.788051i
$470$	2.92981	−	6.41538i	0.135142	−	0.295920i
$471$	9.95642	−	2.92347i	0.458768	−	0.134706i
$472$	13.0642	−	3.83600i	0.601329	−	0.176566i
$473$	−3.53675	+	7.74439i	−0.162620	+	0.356088i
$474$	−4.47547	−	31.1276i	−0.205565	−	1.42974i
$475$	−18.1495	−	20.9456i	−0.832755	−	0.961050i
$476$	4.39122	+	9.61543i	0.201271	+	0.440723i
$477$	27.3993	−	17.6084i	1.25453	−	0.806235i
$478$	7.06154	−	49.1141i	0.322987	−	2.24643i
$479$	−21.4333	−	13.7743i	−0.979311	−	0.629365i	−0.0500338	−	0.998748i	$-0.515933\pi$
$479$	−21.4333	−	13.7743i	−0.979311	−	0.629365i	−0.929277	+	0.369382i	$0.879569\pi$
$480$	14.6529	−	16.9104i	0.668811	−	0.771849i
$481$	−0.732047	−	0.214948i	−0.0333785	−	0.00980080i
$482$	13.0655			0.595119
$483$		0			0
$484$	−20.9763			−0.953469
$485$	5.12969	+	1.50621i	0.232927	+	0.0683936i
$486$	−32.2779	+	37.2507i	−1.46416	+	1.68973i
$487$	−5.18302	−	3.33093i	−0.234865	−	0.150939i	0.417915	−	0.908486i	$-0.362761\pi$
$487$	−5.18302	−	3.33093i	−0.234865	−	0.150939i	−0.652780	+	0.757547i	$0.726397\pi$
$488$	−1.99429	+	13.8706i	−0.0902774	+	0.627893i
$489$	31.2698	−	20.0959i	1.41407	−	0.908768i
$490$	1.55056	+	3.39526i	0.0700474	+	0.153382i
$491$	21.3796	+	24.6734i	0.964850	+	1.11350i	0.993492	+	0.113906i	$0.0363363\pi$
$491$	21.3796	+	24.6734i	0.964850	+	1.11350i	−0.0286418	+	0.999590i	$0.509118\pi$
$492$	0.435674	+	3.03018i	0.0196417	+	0.136611i
$493$	−3.22534	+	7.06251i	−0.145262	+	0.318080i
$494$	3.31686	−	0.973919i	0.149233	−	0.0438187i
$495$	−7.52330	+	2.20904i	−0.338147	+	0.0992890i
$496$	−1.15197	+	2.52246i	−0.0517249	+	0.113262i
$497$	−0.246604	−	1.71517i	−0.0110617	−	0.0769358i
$498$	−46.7498	−	53.9521i	−2.09491	−	2.41765i
$499$	−3.56164	−	7.79890i	−0.159441	−	0.349127i	0.813005	−	0.582257i	$-0.197830\pi$
$499$	−3.56164	−	7.79890i	−0.159441	−	0.349127i	−0.972445	+	0.233130i	$0.925103\pi$
$500$	25.1652	−	16.1727i	1.12542	−	0.723265i
$501$	0.475630	−	3.30808i	0.0212496	−	0.147794i
$502$	−2.87452	−	1.84734i	−0.128296	−	0.0824510i
$503$	−4.42394	+	5.10549i	−0.197254	+	0.227643i	−0.845756	−	0.533570i	$-0.820850\pi$
$503$	−4.42394	+	5.10549i	−0.197254	+	0.227643i	0.648502	+	0.761213i	$0.275396\pi$
$504$	14.2429	+	4.18209i	0.634428	+	0.186285i
$505$	2.25073			0.100156
$506$		0			0
$507$	32.5764			1.44677
$508$	−16.4260	−	4.82311i	−0.728785	−	0.213991i
$509$	−26.8313	+	30.9650i	−1.18928	+	1.37250i	−0.278065	+	0.960562i	$0.589693\pi$
$509$	−26.8313	+	30.9650i	−1.18928	+	1.37250i	−0.911213	+	0.411937i	$0.864853\pi$
$510$	−8.98666	−	5.77538i	−0.397936	−	0.255738i
$511$	−2.17614	+	15.1354i	−0.0962668	+	0.669550i
$512$	14.3586	−	9.22769i	0.634565	−	0.407810i
$513$	2.64150	+	5.78407i	0.116625	+	0.255373i
$514$	−39.6234	−	45.7279i	−1.74771	−	2.01697i
$515$	−2.69466	−	18.7418i	−0.118741	−	0.825861i
$516$	−13.2785	+	29.0758i	−0.584553	+	1.27999i
$517$	−4.74820	+	1.39420i	−0.208825	+	0.0613167i
$518$	19.4818	−	5.72037i	0.855981	−	0.251339i
$519$	17.6826	−	38.7194i	0.776178	−	1.69959i
$520$	0.0652096	+	0.453543i	0.00285963	+	0.0198892i
$521$	12.2635	+	14.1528i	0.537273	+	0.620046i	0.957870	−	0.287202i	$-0.0927250\pi$
$521$	12.2635	+	14.1528i	0.537273	+	0.620046i	−0.420598	+	0.907247i	$0.638180\pi$
$522$	15.1127	+	33.0921i	0.661463	+	1.44840i
$523$	19.8233	−	12.7397i	0.866813	−	0.557067i	−0.0299636	−	0.999551i	$-0.509539\pi$
$523$	19.8233	−	12.7397i	0.866813	−	0.557067i	0.896776	+	0.442484i	$0.145903\pi$
$524$	5.18976	−	36.0956i	0.226716	−	1.57684i
$525$	−17.4143	−	11.1915i	−0.760022	−	0.488436i
$526$	18.6742	−	21.5512i	0.814235	−	0.939677i
$527$	2.66817	+	0.783445i	0.116227	+	0.0341274i
$528$	−7.47461			−0.325291
$529$		0			0
$530$	−26.7551			−1.16217
$531$	22.9742	+	6.74584i	0.996996	+	0.292744i
$532$	−35.4323	+	40.8910i	−1.53618	+	1.77285i
$533$	0.0704930	+	0.0453031i	0.00305339	+	0.00196230i
$534$	−10.9562	+	76.2018i	−0.474120	+	3.29758i
$535$	−2.06824	+	1.32918i	−0.0894179	+	0.0574654i
$536$	5.69348	+	12.4670i	0.245921	+	0.538491i
$537$	−2.35584	−	2.71878i	−0.101662	−	0.117324i
$538$	3.13534	+	21.8068i	0.135174	+	0.940156i
$539$	1.08798	−	2.38234i	0.0468625	−	0.102615i
$540$	−2.69835	+	0.792306i	−0.116118	+	0.0340954i
$541$	−0.914673	+	0.268572i	−0.0393249	+	0.0115468i	−0.301336	−	0.953518i	$-0.597433\pi$
$541$	−0.914673	+	0.268572i	−0.0393249	+	0.0115468i	0.262011	+	0.965065i	$0.415614\pi$
$542$	4.03825	−	8.84254i	0.173458	−	0.379820i
$543$	−5.76995	−	40.1309i	−0.247612	−	1.72218i
$544$	−7.35504	−	8.48817i	−0.315345	−	0.363927i
$545$	−8.01029	−	17.5401i	−0.343123	−	0.751335i
$546$	2.17208	−	1.39591i	0.0929566	−	0.0597396i
$547$	−4.23899	+	29.4828i	−0.181246	+	1.26059i	0.672575	+	0.740029i	$0.265188\pi$
$547$	−4.23899	+	29.4828i	−0.181246	+	1.26059i	−0.853821	+	0.520566i	$0.825721\pi$
$548$	1.67593	+	1.07705i	0.0715920	+	0.0460094i
$549$	−16.1378	+	18.6241i	−0.688746	+	0.794856i
$550$	−14.0314	−	4.11998i	−0.598299	−	0.175676i
$551$	−39.7412			−1.69303
$552$		0			0
$553$	13.4729			0.572925
$554$	65.1310	+	19.1242i	2.76715	+	0.812509i
$555$	−7.90276	+	9.12028i	−0.335454	+	0.387134i
$556$	33.5298	+	21.5483i	1.42198	+	0.913852i
$557$	0.855129	−	5.94755i	0.0362330	−	0.252006i	−0.963652	−	0.267160i	$-0.913915\pi$
$557$	0.855129	−	5.94755i	0.0362330	−	0.252006i	0.999885	+	0.0151540i	$0.00482386\pi$
$558$	10.9613	−	7.04442i	0.464030	−	0.298214i
$559$	0.363459	+	0.795865i	0.0153727	+	0.0336615i
$560$	2.98868	+	3.44912i	0.126295	+	0.145752i
$561$	1.06672	+	7.41922i	0.0450371	+	0.313240i
$562$	−3.27655	+	7.17465i	−0.138213	+	0.302644i
$563$	−0.0855772	+	0.0251277i	−0.00360665	+	0.00105901i	−0.283535	−	0.958962i	$-0.591507\pi$
$563$	−0.0855772	+	0.0251277i	−0.00360665	+	0.00105901i	0.279929	+	0.960021i	$0.409689\pi$
$564$	−17.8268	+	5.23442i	−0.750643	+	0.220409i
$565$	0.764440	−	1.67389i	0.0321602	−	0.0704211i
$566$	−4.63524	−	32.2388i	−0.194834	−	1.35510i
$567$	−12.3515	−	14.2544i	−0.518715	−	0.598629i
$568$	−0.572195	−	1.25293i	−0.0240087	−	0.0525718i
$569$	−34.7939	+	22.3607i	−1.45864	+	0.937408i	−0.459857	+	0.887993i	$0.652099\pi$
$569$	−34.7939	+	22.3607i	−1.45864	+	0.937408i	−0.998778	+	0.0494153i	$0.984264\pi$
$570$	7.78160	−	54.1222i	0.325935	−	2.26693i
$571$	21.6963	+	13.9434i	0.907963	+	0.583513i	0.909142	−	0.416487i	$-0.136739\pi$
$571$	21.6963	+	13.9434i	0.907963	+	0.583513i	−0.00117841	+	0.999999i	$0.500375\pi$
$572$	0.702510	−	0.810739i	0.0293734	−	0.0338987i
$573$	−50.0259	−	14.6889i	−2.08986	−	0.613639i
$574$	−2.23002			−0.0930793
$575$		0			0
$576$	−42.3070			−1.76279
$577$	−26.0447	−	7.64741i	−1.08425	−	0.318366i	−0.309675	−	0.950842i	$-0.600220\pi$
$577$	−26.0447	−	7.64741i	−1.08425	−	0.318366i	−0.774579	+	0.632477i	$0.782038\pi$
$578$	21.0206	−	24.2591i	0.874343	−	1.00905i
$579$	−30.9801	−	19.9097i	−1.28749	−	0.827418i
$580$	2.50137	−	17.3974i	0.103864	−	0.722389i
$581$	25.7294	−	16.5353i	1.06743	−	0.685999i
$582$	−9.94790	−	21.7829i	−0.412354	−	0.902929i
$583$	12.2938	+	14.1878i	0.509157	+	0.587599i
$584$	1.72981	+	12.0311i	0.0715801	+	0.497850i
$585$	−0.334735	+	0.732967i	−0.0138396	+	0.0303045i
$586$	−45.4871	+	13.3562i	−1.87905	+	0.551740i
$587$	−30.3534	+	8.91255i	−1.25282	+	0.367860i	−0.839816	−	0.542870i	$-0.817337\pi$
$587$	−30.3534	+	8.91255i	−1.25282	+	0.367860i	−0.413001	+	0.910731i	$0.635519\pi$
$588$	4.08474	−	8.94433i	0.168452	−	0.368858i
$589$	2.02567	+	14.0888i	0.0834663	+	0.580521i
$590$	−12.8808	−	14.8652i	−0.530294	−	0.611992i
$591$	−12.1926	−	26.6982i	−0.501538	−	1.09822i
$592$	−5.08165	+	3.26578i	−0.208854	+	0.134223i
$593$	3.66403	−	25.4839i	0.150464	−	1.04650i	−0.764980	−	0.644054i	$-0.777251\pi$
$593$	3.66403	−	25.4839i	0.150464	−	1.04650i	0.915444	−	0.402445i	$-0.131840\pi$
$594$	2.82253	+	1.81393i	0.115810	+	0.0744263i
$595$	2.99704	−	3.45877i	0.122867	−	0.141796i
$596$	45.5949	+	13.3879i	1.86764	+	0.548388i
$597$	14.3849			0.588733
$598$		0			0
$599$	16.9434			0.692289			0.346144	−	0.938181i	$-0.387491\pi$
$599$	16.9434			0.692289			0.346144	+	0.938181i	$0.387491\pi$
$600$	−15.7882	−	4.63583i	−0.644550	−	0.189257i
$601$	6.32265	−	7.29673i	0.257906	−	0.297640i	−0.611999	−	0.790859i	$-0.709634\pi$
$601$	6.32265	−	7.29673i	0.257906	−	0.297640i	0.869905	+	0.493219i	$0.164180\pi$
$602$	−19.5880	−	12.5885i	−0.798348	−	0.513067i
$603$	−3.43007	+	23.8567i	−0.139683	+	0.971519i
$604$	31.6896	−	20.3657i	1.28943	−	0.828668i
$605$	3.77270	+	8.26105i	0.153382	+	0.335860i
$606$	−6.60196	−	7.61907i	−0.268186	−	0.309504i
$607$	−0.461850	−	3.21224i	−0.0187459	−	0.130381i	0.978299	−	0.207196i	$-0.0664338\pi$
$607$	−0.461850	−	3.21224i	−0.0187459	−	0.130381i	−0.997045	+	0.0768155i	$0.975525\pi$
$608$	23.8817	−	52.2937i	0.968531	−	2.12079i
$609$	−28.4804	+	8.36260i	−1.15408	+	0.338870i
$610$	19.4238	−	5.70333i	0.786445	−	0.230921i
$611$	−0.211262	+	0.462599i	−0.00854674	+	0.0187147i
$612$	2.10292	+	14.6261i	0.0850054	+	0.591226i
$613$	21.5543	+	24.8750i	0.870569	+	1.00469i	0.999914	+	0.0130910i	$0.00416711\pi$
$613$	21.5543	+	24.8750i	0.870569	+	1.00469i	−0.129345	+	0.991600i	$0.541287\pi$
$614$	12.9485	+	28.3532i	0.522559	+	1.14424i
$615$	1.11501	−	0.716574i	0.0449616	−	0.0288951i
$616$	−1.21767	+	8.46911i	−0.0490615	+	0.341230i
$617$	2.54431	+	1.63513i	0.102430	+	0.0658278i	0.590853	−	0.806779i	$-0.298791\pi$
$617$	2.54431	+	1.63513i	0.102430	+	0.0658278i	−0.488423	+	0.872607i	$0.662428\pi$
$618$	−55.5395	+	64.0961i	−2.23413	+	2.57832i
$619$	−10.0002	−	2.93632i	−0.401942	−	0.118021i	0.0745122	−	0.997220i	$-0.476260\pi$
$619$	−10.0002	−	2.93632i	−0.401942	−	0.118021i	−0.476454	+	0.879199i	$0.658078\pi$
$620$	−6.29515			−0.252819
$621$		0			0
$622$	1.25637			0.0503758
$623$	−31.6462	−	9.29218i	−1.26788	−	0.372283i
$624$	−0.503025	+	0.580522i	−0.0201371	+	0.0232395i
$625$	3.70511	+	2.38113i	0.148204	+	0.0952452i
$626$	6.62738	−	46.0944i	0.264883	−	1.84230i
$627$	−32.2757	+	20.7423i	−1.28897	+	0.828369i
$628$	4.89823	+	10.7256i	0.195461	+	0.427999i
$629$	3.96680	+	4.57793i	0.158167	+	0.182534i
$630$	−3.05182	−	21.2259i	−0.121587	−	0.845659i
$631$	14.1662	−	31.0196i	0.563947	−	1.23487i	−0.386011	−	0.922494i	$-0.626147\pi$
$631$	14.1662	−	31.0196i	0.563947	−	1.23487i	0.949958	−	0.312378i	$-0.101126\pi$
$632$	10.2757	−	3.01723i	0.408747	−	0.120019i
$633$	−33.9248	+	9.96121i	−1.34839	+	0.395923i
$634$	−8.06676	+	17.6637i	−0.320372	+	0.701517i
$635$	1.05482	+	7.33647i	0.0418594	+	0.291139i
$636$	46.1563	+	53.2672i	1.83021	+	2.11218i
$637$	−0.111808	−	0.244825i	−0.00442998	−	0.00970031i
$638$	−17.6405	+	11.3368i	−0.698393	+	0.448830i
$639$	0.344722	−	2.39760i	0.0136370	−	0.0948474i
$640$	14.2581	+	9.16314i	0.563602	+	0.362205i
$641$	5.89746	−	6.80603i	0.232936	−	0.268822i	−0.627233	−	0.778832i	$-0.715813\pi$
$641$	5.89746	−	6.80603i	0.232936	−	0.268822i	0.860169	+	0.510010i	$0.170358\pi$
$642$	10.5661	+	3.10250i	0.417012	+	0.122446i
$643$	−22.9522			−0.905146			−0.452573	−	0.891727i	$-0.649494\pi$
$643$	−22.9522			−0.905146			−0.452573	+	0.891727i	$0.649494\pi$
$644$		0			0
$645$	13.8391			0.544913
$646$	−26.3343	−	7.73244i	−1.03611	−	0.304229i
$647$	29.4388	−	33.9742i	1.15736	−	1.33566i	0.224903	−	0.974381i	$-0.427793\pi$
$647$	29.4388	−	33.9742i	1.15736	−	1.33566i	0.932456	−	0.361283i	$-0.117661\pi$
$648$	−12.6127	−	8.10572i	−0.495476	−	0.318423i
$649$	−1.96415	+	13.6609i	−0.0770995	+	0.536239i
$650$	−1.26426	+	0.812492i	−0.0495884	+	0.0318685i
$651$	4.41636	+	9.67048i	0.173091	+	0.379016i
$652$	27.6594	+	31.9207i	1.08323	+	1.25011i
$653$	4.17884	+	29.0645i	0.163531	+	1.13738i	0.891912	+	0.452209i	$0.149364\pi$
$653$	4.17884	+	29.0645i	0.163531	+	1.13738i	−0.728381	+	0.685172i	$0.759727\pi$
$654$	−35.8796	+	78.5654i	−1.40300	+	3.07215i
$655$	−15.1488	+	4.44810i	−0.591914	+	0.173802i
$656$	0.636564	−	0.186912i	0.0248536	−	0.00729768i
$657$	−8.87949	+	19.4434i	−0.346422	+	0.758558i
$658$	−1.92610	−	13.3963i	−0.0750872	−	0.522243i
$659$	26.2951	+	30.3461i	1.02431	+	1.18212i	0.983119	+	0.182967i	$0.0585701\pi$
$659$	26.2951	+	30.3461i	1.02431	+	1.18212i	0.0411919	+	0.999151i	$0.486884\pi$
$660$	−7.04885	−	15.4348i	−0.274376	−	0.600800i
$661$	8.38444	−	5.38835i	0.326117	−	0.209583i	−0.367329	−	0.930091i	$-0.619728\pi$
$661$	8.38444	−	5.38835i	0.326117	−	0.209583i	0.693446	+	0.720508i	$0.256091\pi$
$662$	−9.46702	+	65.8445i	−0.367946	+	2.55912i
$663$	0.648008	+	0.416450i	0.0251666	+	0.0161736i
$664$	15.9207	−	18.3735i	0.617844	−	0.713030i
$665$	22.4767	+	6.59975i	0.871609	+	0.255927i
$666$	28.3829			1.09981
$667$		0			0
$668$	3.79764			0.146935
$669$	−10.1371	−	2.97651i	−0.391922	−	0.115079i
$670$	12.9657	−	14.9632i	0.500910	−	0.578081i
$671$	−11.9495	−	7.67945i	−0.461304	−	0.296462i
$672$	6.11079	−	42.5015i	0.235729	−	1.63953i
$673$	−28.6504	+	18.4125i	−1.10439	+	0.709748i	−0.960064	−	0.279782i	$-0.909738\pi$
$673$	−28.6504	+	18.4125i	−1.10439	+	0.709748i	−0.144326	+	0.989530i	$0.546101\pi$
$674$	−4.53658	−	9.93373i	−0.174743	−	0.382633i
$675$	−1.81026	−	2.08915i	−0.0696770	−	0.0804115i
$676$	5.26803	+	36.6400i	0.202617	+	1.40923i
$677$	−10.3817	+	22.7327i	−0.399000	+	0.873689i	0.598370	+	0.801220i	$0.295815\pi$
$677$	−10.3817	+	22.7327i	−0.399000	+	0.873689i	−0.997371	+	0.0724692i	$0.976912\pi$
$678$	−7.90866	+	2.32219i	−0.303730	+	0.0891832i
$679$	9.84380	−	2.89040i	0.377771	−	0.110923i
$680$	1.51125	−	3.30918i	0.0579539	−	0.126901i
$681$	6.59241	+	45.8512i	0.252622	+	1.75702i
$682$	4.91825	+	5.67596i	0.188329	+	0.217344i
$683$	14.3219	+	31.3606i	0.548013	+	1.19998i	0.957704	+	0.287756i	$0.0929094\pi$
$683$	14.3219	+	31.3606i	0.548013	+	1.19998i	−0.409691	+	0.912225i	$0.634363\pi$
$684$	−63.6277	+	40.8910i	−2.43287	+	1.56351i
$685$	0.122749	−	0.853739i	0.00469000	−	0.0326197i
$686$	36.8164	+	23.6604i	1.40566	+	0.903360i
$687$	17.9808	−	20.7509i	0.686009	−	0.791697i
$688$	6.64655	+	1.95160i	0.253397	+	0.0744042i
$689$	1.92925			0.0734987
$690$		0			0
$691$	−21.2259			−0.807470			−0.403735	−	0.914876i	$-0.632288\pi$
$691$	−21.2259			−0.807470			−0.403735	+	0.914876i	$0.632288\pi$
$692$	46.4088	+	13.6269i	1.76420	+	0.518015i
$693$	−9.85343	+	11.3715i	−0.374301	+	0.431966i
$694$	−12.5446	−	8.06191i	−0.476186	−	0.306026i
$695$	2.45581	−	17.0805i	0.0931543	−	0.647902i
$696$	−19.8492	+	12.7563i	−0.752381	+	0.483526i
$697$	−0.276373	−	0.605172i	−0.0104684	−	0.0229225i
$698$	−14.5632	−	16.8068i	−0.551224	−	0.636146i
$699$	1.48970	+	10.3611i	0.0563455	+	0.391892i
$700$	9.77140	−	21.3964i	0.369324	−	0.808707i
$701$	23.1489	−	6.79712i	0.874320	−	0.256724i	0.186369	−	0.982480i	$-0.440328\pi$
$701$	23.1489	−	6.79712i	0.874320	−	0.256724i	0.687952	+	0.725756i	$0.258510\pi$
$702$	0.330830	−	0.0971405i	0.0124864	−	0.00366633i
$703$	−12.8801	+	28.2035i	−0.485783	+	1.06372i
$704$	−3.47046	−	24.1376i	−0.130798	−	0.909720i
$705$	5.26770	+	6.07925i	0.198393	+	0.228958i
$706$	22.3995	+	49.0481i	0.843017	+	1.84595i
$707$	3.63348	−	2.33510i	0.136651	−	0.0878204i
$708$	−7.37426	+	51.2891i	−0.277142	+	1.92756i
$709$	5.91984	+	3.80445i	0.222324	+	0.142879i	0.647062	−	0.762437i	$-0.275997\pi$
$709$	5.91984	+	3.80445i	0.222324	+	0.142879i	−0.424738	+	0.905316i	$0.639634\pi$
$710$	−1.30306	+	1.50381i	−0.0489028	+	0.0564369i
$711$	18.0705	+	5.30599i	0.677698	+	0.198990i
$712$	−26.2175			−0.982544
$713$		0			0
$714$	−20.4995			−0.767175
$715$	−0.445641	−	0.130852i	−0.0166660	−	0.00489359i
$716$	2.67695	−	3.08937i	0.100042	−	0.115455i
$717$	47.6092	+	30.5966i	1.77800	+	1.14265i
$718$	−0.131343	+	0.913509i	−0.00490167	+	0.0340918i
$719$	22.3506	−	14.3639i	0.833538	−	0.535682i	−0.0528623	−	0.998602i	$-0.516834\pi$
$719$	22.3506	−	14.3639i	0.833538	−	0.535682i	0.886400	+	0.462919i	$0.153198\pi$
$720$	2.65022	+	5.80317i	0.0987678	+	0.216271i
$721$	−23.7944	−	27.4602i	−0.886149	−	1.02267i
$722$	−14.0344	−	97.6115i	−0.522307	−	3.63272i
$723$	−6.19048	+	13.5553i	−0.230226	+	0.504125i
$724$	44.2037	−	12.9794i	1.64282	−	0.482375i
$725$	16.5770	−	4.86745i	0.615655	−	0.180773i
$726$	16.8986	−	37.0029i	0.627167	−	1.37331i
$727$	0.743959	+	5.17435i	0.0275919	+	0.191906i	0.998956	−	0.0456916i	$-0.0145492\pi$
$727$	0.743959	+	5.17435i	0.0275919	+	0.191906i	−0.971364	+	0.237598i	$0.923640\pi$
$728$	0.575814	+	0.664524i	0.0213411	+	0.0246289i
$729$	−13.4472	−	29.4453i	−0.498044	−	1.09057i
$730$	14.7716	−	9.49314i	0.546722	−	0.351357i
$731$	0.988594	−	6.87582i	0.0365645	−	0.254311i
$732$	−44.8635	−	28.8320i	−1.65820	−	1.06566i
$733$	17.4775	−	20.1701i	0.645546	−	0.745000i	−0.334799	−	0.942290i	$-0.608668\pi$
$733$	17.4775	−	20.1701i	0.645546	−	0.745000i	0.980345	+	0.197289i	$0.0632139\pi$
$734$	−60.4033	−	17.7360i	−2.22953	−	0.654648i
$735$	−4.25719			−0.157029
$736$		0			0
$737$	−13.8924			−0.511734
$738$	−2.99103	−	0.878244i	−0.110101	−	0.0323286i
$739$	1.46659	−	1.69254i	0.0539495	−	0.0622610i	−0.728133	−	0.685435i	$-0.759612\pi$
$739$	1.46659	−	1.69254i	0.0539495	−	0.0622610i	0.782083	+	0.623174i	$0.214157\pi$
$740$	−11.5359	−	7.41369i	−0.424069	−	0.272533i
$741$	−0.561114	+	3.90263i	−0.0206130	+	0.143367i
$742$	−43.1923	+	27.7580i	−1.58564	+	1.01903i
$743$	7.53568	+	16.5008i	0.276457	+	0.605357i	0.996026	−	0.0890642i	$-0.0283876\pi$
$743$	7.53568	+	16.5008i	0.276457	+	0.605357i	−0.719568	+	0.694421i	$0.755660\pi$
$744$	5.53405	+	6.38663i	0.202888	+	0.234145i
$745$	−2.92796	−	20.3644i	−0.107272	−	0.746094i
$746$	13.1891	−	28.8801i	0.482887	−	1.05737i
$747$	41.0217	−	12.0451i	1.50090	−	0.440705i
$748$	−8.17220	+	2.39957i	−0.298805	+	0.0877371i
$749$	−1.95988	+	4.29153i	−0.0716123	+	0.156809i
$750$	8.25590	+	57.4210i	0.301463	+	2.09672i
$751$	−18.4846	−	21.3323i	−0.674511	−	0.778427i	0.310564	−	0.950552i	$-0.399482\pi$
$751$	−18.4846	−	21.3323i	−0.674511	−	0.778427i	−0.985075	+	0.172125i	$0.944937\pi$
$752$	1.67264	+	3.66256i	0.0609948	+	0.133560i
$753$	3.27854	−	2.10699i	0.119477	−	0.0767830i
$754$	−0.306680	+	2.13301i	−0.0111686	+	0.0776796i
$755$	−13.7201	−	8.81737i	−0.499326	−	0.320897i
$756$	−3.53408	+	4.07855i	−0.128533	+	0.148335i
$757$	−0.117071	−	0.0343752i	−0.00425502	−	0.00124939i	0.279604	−	0.960115i	$-0.409797\pi$
$757$	−0.117071	−	0.0343752i	−0.00425502	−	0.00124939i	−0.283859	+	0.958866i	$0.591615\pi$
$758$	−12.4000			−0.450389
$759$		0			0
$760$	18.6210			0.675453
$761$	25.6236	+	7.52378i	0.928856	+	0.272737i	0.710958	−	0.703235i	$-0.248262\pi$
$761$	25.6236	+	7.52378i	0.928856	+	0.272737i	0.217898	+	0.975971i	$0.430080\pi$
$762$	21.7410	−	25.0904i	0.787592	−	0.908930i
$763$	−31.1290	−	20.0054i	−1.12694	−	0.724243i
$764$	8.43139	−	58.6416i	0.305037	−	2.12158i
$765$	5.38195	−	3.45877i	0.194585	−	0.125052i
$766$	0.212065	+	0.464358i	0.00766222	+	0.0167779i
$767$	0.928805	+	1.07190i	0.0335372	+	0.0387040i
$768$	−1.67939	−	11.6804i	−0.0605998	−	0.421481i
$769$	−3.26144	+	7.14156i	−0.117611	+	0.257531i	−0.959277	−	0.282466i	$-0.908847\pi$
$769$	−3.26144	+	7.14156i	−0.117611	+	0.257531i	0.841667	+	0.539997i	$0.181575\pi$
$770$	11.8597	−	3.48234i	0.427396	−	0.125495i
$771$	66.2155	−	19.4426i	2.38469	−	0.700209i
$772$	17.3833	−	38.0642i	0.625640	−	1.36996i
$773$	4.87879	+	33.9327i	0.175478	+	1.22048i	0.867070	+	0.498187i	$0.166001\pi$
$773$	4.87879	+	33.9327i	0.175478	+	1.22048i	−0.691592	+	0.722289i	$0.743090\pi$
$774$	−21.3148	−	24.5986i	−0.766145	−	0.884179i
$775$	−2.57054	−	5.62871i	−0.0923367	−	0.202189i
$776$	6.86056	−	4.40901i	0.246280	−	0.158274i
$777$	−3.29573	+	22.9223i	−0.118234	+	0.822334i
$778$	−55.9288	−	35.9432i	−2.00514	−	1.28863i
$779$	2.23002	−	2.57358i	0.0798988	−	0.0922082i
$780$	−1.67313	−	0.491276i	−0.0599077	−	0.0175905i
$781$	1.39619			0.0499596
$782$		0			0
$783$	−3.96386			−0.141657
$784$	−2.04462	−	0.600354i	−0.0730221	−	0.0214412i
$785$	3.34308	−	3.85812i	0.119320	−	0.137702i
$786$	59.4928	+	38.2337i	2.12204	+	1.36375i
$787$	−2.27882	+	15.8495i	−0.0812312	+	0.564975i	0.908040	+	0.418884i	$0.137578\pi$
$787$	−2.27882	+	15.8495i	−0.0812312	+	0.564975i	−0.989271	+	0.146091i	$0.953331\pi$
$788$	28.0568	−	18.0310i	0.999482	−	0.642328i
$789$	13.5111	+	29.5852i	0.481008	+	1.05326i
$790$	−10.1315	−	11.6924i	−0.360462	−	0.415996i
$791$	−0.502555	−	3.49534i	−0.0178688	−	0.124280i
$792$	−4.96858	+	10.8797i	−0.176551	+	0.386592i
$793$	−1.40060	+	0.411254i	−0.0497369	+	0.0146041i
$794$	27.5823	−	8.09890i	0.978860	−	0.287419i
$795$	12.6766	−	27.7580i	0.449594	−	0.984474i
$796$	2.32622	+	16.1792i	0.0824508	+	0.573458i
$797$	−14.0950	−	16.2665i	−0.499272	−	0.576190i	0.449047	−	0.893508i	$-0.351763\pi$
$797$	−14.0950	−	16.2665i	−0.499272	−	0.576190i	−0.948319	+	0.317317i	$0.897218\pi$
$798$	−43.5886	−	95.4457i	−1.54302	−	3.37874i
$799$	3.39672	−	2.18294i	0.120167	−	0.0772268i
$800$	−3.55679	+	24.7380i	−0.125751	+	0.874620i
$801$	−38.7861	−	24.9263i	−1.37044	−	0.880729i
$802$	30.7744	−	35.5155i	1.08668	−	1.25410i
$803$	−11.8215	−	3.47111i	−0.417172	−	0.122493i
$804$	−52.1582			−1.83948
$805$		0			0
$806$	0.771816			0.0271860
$807$	−24.1097	−	7.07923i	−0.848700	−	0.249201i
$808$	2.24831	−	2.59469i	0.0790953	−	0.0912809i
$809$	20.2953	+	13.0430i	0.713546	+	0.458568i	0.846386	−	0.532569i	$-0.178773\pi$
$809$	20.2953	+	13.0430i	0.713546	+	0.458568i	−0.132840	+	0.991137i	$0.542410\pi$
$810$	−3.08238	+	21.4384i	−0.108304	+	0.753269i
$811$	12.0621	−	7.75187i	0.423559	−	0.272205i	−0.311450	−	0.950263i	$-0.600814\pi$
$811$	12.0621	−	7.75187i	0.423559	−	0.272205i	0.735009	+	0.678058i	$0.237178\pi$
$812$	−14.0114	−	30.6807i	−0.491704	−	1.07668i
$813$	7.26065	+	8.37923i	0.254642	+	0.293873i
$814$	2.32826	+	16.1934i	0.0816054	+	0.567578i
$815$	7.59656	−	16.6341i	0.266096	−	0.582669i
$816$	5.85162	−	1.71819i	0.204848	−	0.0601487i
$817$	34.1159	−	10.0173i	1.19356	−	0.350462i
$818$	−8.37515	+	18.3390i	−0.292830	+	0.641209i
$819$	0.220060	+	1.53055i	0.00768951	+	0.0534817i
$820$	0.986272	+	1.13822i	0.0344421	+	0.0397483i
$821$	5.90241	+	12.9245i	0.205995	+	0.451067i	0.984227	−	0.176910i	$-0.0566103\pi$
$821$	5.90241	+	12.9245i	0.205995	+	0.451067i	−0.778232	+	0.627977i	$0.783883\pi$
$822$	−3.25009	+	2.08870i	−0.113360	+	0.0728519i
$823$	−2.28033	+	15.8600i	−0.0794871	+	0.552845i	0.910697	+	0.413075i	$0.135545\pi$
$823$	−2.28033	+	15.8600i	−0.0794871	+	0.552845i	−0.990184	+	0.139770i	$0.955364\pi$
$824$	−24.2976	−	15.6151i	−0.846448	−	0.543979i
$825$	10.9225	−	12.6052i	0.380272	−	0.438858i
$826$	−36.2166	−	10.6341i	−1.26014	−	0.370009i
$827$	35.1240			1.22138			0.610690	−	0.791870i	$-0.290892\pi$
$827$	35.1240			1.22138			0.610690	+	0.791870i	$0.290892\pi$
$828$		0			0
$829$	−2.29604			−0.0797447			−0.0398723	−	0.999205i	$-0.512695\pi$
$829$	−2.29604			−0.0797447			−0.0398723	+	0.999205i	$0.512695\pi$
$830$	−33.6983	−	9.89472i	−1.16969	−	0.343451i
$831$	−50.7002	+	58.5112i	−1.75877	+	2.02973i
$832$	−2.10822	−	1.35487i	−0.0730894	−	0.0469717i
$833$	−0.304112	+	2.11515i	−0.0105369	+	0.0732855i
$834$	−65.0237	+	41.7882i	−2.25159	+	1.44701i
$835$	−0.683025	−	1.49562i	−0.0236371	−	0.0517580i
$836$	−28.5491	−	32.9475i	−0.987393	−	1.13951i
$837$	0.202044	+	1.40525i	0.00698366	+	0.0485725i
$838$	−8.21511	+	17.9886i	−0.283786	+	0.621406i
$839$	−37.0476	+	10.8782i	−1.27903	+	0.375556i	−0.849543	−	0.527519i	$-0.823122\pi$
$839$	−37.0476	+	10.8782i	−1.27903	+	0.375556i	−0.429483	+	0.903075i	$0.641304\pi$
$840$	13.3447	−	3.91835i	0.460435	−	0.135196i
$841$	−1.75568	+	3.84441i	−0.0605408	+	0.132566i
$842$	−9.86994	−	68.6469i	−0.340140	−	2.36573i
$843$	−5.89113	−	6.79873i	−0.202901	−	0.234161i
$844$	−16.6899	−	36.5457i	−0.574489	−	1.25796i
$845$	13.4823	−	8.66458i	0.463807	−	0.298071i
$846$	2.69245	−	18.7264i	0.0925684	−	0.643827i
$847$	14.6612	+	9.42216i	0.503764	+	0.323749i
$848$	10.0027	−	11.5438i	0.343495	−	0.396415i
$849$	35.6434	+	10.4658i	1.22328	+	0.359187i
$850$	11.9317			0.409255
$851$		0			0
$852$	5.24190			0.179584
$853$	36.8727	+	10.8268i	1.26250	+	0.370703i	0.843424	−	0.537249i	$-0.180537\pi$
$853$	36.8727	+	10.8268i	1.26250	+	0.370703i	0.419074	+	0.907952i	$0.362355\pi$
$854$	25.4397	−	29.3590i	0.870529	−	1.00464i
$855$	27.5478	+	17.7039i	0.942114	+	0.605460i
$856$	−0.533713	+	3.71206i	−0.0182419	+	0.126876i
$857$	−42.8109	+	27.5129i	−1.46239	+	0.939824i	−0.463848	+	0.885915i	$0.653532\pi$
$857$	−42.8109	+	27.5129i	−1.46239	+	0.939824i	−0.998546	+	0.0539088i	$0.982832\pi$
$858$	0.864223	+	1.89238i	0.0295041	+	0.0646049i
$859$	−5.99008	−	6.91292i	−0.204379	−	0.235866i	0.644302	−	0.764771i	$-0.277148\pi$
$859$	−5.99008	−	6.91292i	−0.204379	−	0.235866i	−0.848681	+	0.528905i	$0.822603\pi$
$860$	2.23796	+	15.5654i	0.0763138	+	0.530774i
$861$	1.05659	−	2.31361i	0.0360085	−	0.0788476i
$862$	46.7323	−	13.7218i	1.59171	−	0.467368i
$863$	−11.8390	+	3.47626i	−0.403006	+	0.118333i	−0.476953	−	0.878929i	$-0.658259\pi$
$863$	−11.8390	+	3.47626i	−0.403006	+	0.118333i	0.0739469	+	0.997262i	$0.476440\pi$
$864$	2.38201	−	5.21586i	0.0810375	−	0.177447i
$865$	−2.98022	−	20.7279i	−0.101331	−	0.704770i
$866$	−18.3200	−	21.1424i	−0.622540	−	0.718449i
$867$	15.2088	+	33.3026i	0.516517	+	1.13101i
$868$	−10.1626	+	6.53111i	−0.344941	+	0.221680i
$869$	−1.54491	+	10.7451i	−0.0524076	+	0.364503i
$870$	28.6745	+	18.4280i	0.972155	+	0.624766i
$871$	−0.934929	+	1.07897i	−0.0316789	+	0.0365594i
$872$	−28.2222	−	8.28679i	−0.955725	−	0.280626i
$873$	14.3414			0.485381
$874$		0			0
$875$	−24.8534			−0.840199
$876$	−44.3831	−	13.0320i	−1.49956	−	0.440312i
$877$	−1.51089	+	1.74366i	−0.0510193	+	0.0588794i	−0.780686	−	0.624924i	$-0.785130\pi$
$877$	−1.51089	+	1.74366i	−0.0510193	+	0.0588794i	0.729666	+	0.683803i	$0.239675\pi$
$878$	34.1488	+	21.9461i	1.15247	+	0.740646i
$879$	7.69504	−	53.5202i	0.259547	−	1.80519i
$880$	−3.09351	+	1.98808i	−0.104282	+	0.0670181i
$881$	−14.7889	−	32.3832i	−0.498252	−	1.09102i	−0.977034	−	0.213085i	$-0.931649\pi$
$881$	−14.7889	−	32.3832i	−0.498252	−	1.09102i	0.478782	−	0.877934i	$-0.341078\pi$
$882$	6.55689	+	7.56705i	0.220782	+	0.254796i
$883$	−4.33698	−	30.1643i	−0.145951	−	1.01511i	−0.922760	−	0.385375i	$-0.874072\pi$
$883$	−4.33698	−	30.1643i	−0.145951	−	1.01511i	0.776809	−	0.629736i	$-0.216837\pi$
$884$	−0.363606	+	0.796187i	−0.0122294	+	0.0267787i
$885$	21.5254	−	6.32042i	0.723567	−	0.212458i
$886$	29.4165	−	8.63748i	0.988268	−	0.290182i
$887$	8.63696	−	18.9123i	0.290001	−	0.635013i	−0.707420	−	0.706794i	$-0.750141\pi$
$887$	8.63696	−	18.9123i	0.290001	−	0.635013i	0.997420	+	0.0717808i	$0.0228682\pi$
$888$	2.61977	+	18.2209i	0.0879138	+	0.611454i
$889$	9.31431	+	10.7493i	0.312392	+	0.360520i
$890$	15.7335	+	34.4517i	0.527390	+	1.15482i
$891$	12.7848	−	8.21626i	0.428305	−	0.275255i
$892$	1.70851	−	11.8829i	0.0572050	−	0.397869i
$893$	17.3863	+	11.1735i	0.581810	+	0.373906i
$894$	−60.3481	+	69.6454i	−2.01834	+	2.32929i
$895$	−1.69814	−	0.498620i	−0.0567627	−	0.0166670i
$896$	32.5243			1.08656
$897$		0			0
$898$	66.3122			2.21287
$899$	−8.51354	−	2.49980i	−0.283942	−	0.0833730i
$900$	21.5324	−	24.8497i	0.717747	−	0.828324i
$901$	−12.8858	−	8.28117i	−0.429287	−	0.275886i
$902$	0.255713	−	1.77853i	0.00851432	−	0.0592184i
$903$	22.3411	−	14.3578i	0.743467	−	0.477797i
$904$	−1.16608	−	2.55335i	−0.0387831	−	0.0849231i
$905$	−13.0619	−	15.0742i	−0.434192	−	0.501085i
$906$	10.3963	+	72.3081i	0.345395	+	2.40228i
$907$	−9.43483	+	20.6594i	−0.313278	+	0.685984i	−0.999128	−	0.0417596i	$-0.986704\pi$
$907$	−9.43483	+	20.6594i	−0.313278	+	0.685984i	0.685849	+	0.727744i	$0.259431\pi$
$908$	−50.5047	+	14.8295i	−1.67606	+	0.492135i
$909$	5.79305	−	1.70099i	0.192143	−	0.0564183i
$910$	0.527677	−	1.15545i	0.0174923	−	0.0383028i
$911$	−0.118697	−	0.825554i	−0.00393260	−	0.0273518i	0.987761	−	0.155977i	$-0.0498526\pi$
$911$	−0.118697	−	0.825554i	−0.00393260	−	0.0273518i	−0.991693	+	0.128625i	$0.958944\pi$
$912$	20.4423	+	23.5917i	0.676913	+	0.781199i
$913$	10.2371	+	22.4162i	0.338800	+	0.741868i
$914$	70.5325	−	45.3285i	2.33301	−	1.49933i
$915$	−3.28592	+	22.8541i	−0.108629	+	0.755532i
$916$	26.2471	+	16.8680i	0.867229	+	0.557334i
$917$	−19.8408	+	22.8975i	−0.655200	+	0.756141i
$918$	−2.62663	−	0.771248i	−0.0866917	−	0.0254550i
$919$	−45.3320			−1.49537			−0.747683	−	0.664056i	$-0.768834\pi$
$919$	−45.3320			−1.49537			−0.747683	+	0.664056i	$0.768834\pi$
$920$		0			0
$921$	−35.5510			−1.17145
$922$	−18.5221	−	5.43857i	−0.609992	−	0.179110i
$923$	0.0939604	−	0.108436i	0.00309275	−	0.00356922i
$924$	−27.3927	−	17.6042i	−0.901154	−	0.579136i
$925$	1.91828	−	13.3419i	0.0630727	−	0.438680i
$926$	−51.6037	+	33.1637i	−1.69580	+	1.08983i
$927$	−21.0997	−	46.2019i	−0.693006	−	1.51747i
$928$	23.4683	+	27.0839i	0.770385	+	0.889072i
$929$	2.52000	+	17.5270i	0.0826785	+	0.575042i	0.988481	+	0.151342i	$0.0483596\pi$
$929$	2.52000	+	17.5270i	0.0826785	+	0.575042i	−0.905803	+	0.423699i	$0.860731\pi$
$930$	5.07141	−	11.1048i	0.166298	−	0.364142i
$931$	−10.4948	+	3.08154i	−0.343952	+	0.100993i
$932$	−11.4126	+	3.35105i	−0.373833	+	0.109767i
$933$	−0.595270	+	1.30346i	−0.0194883	+	0.0426734i
$934$	5.44621	+	37.8792i	0.178205	+	1.23945i
$935$	2.41483	+	2.78686i	0.0789734	+	0.0911401i
$936$	0.510604	+	1.11807i	0.0166896	+	0.0365452i
$937$	−19.6231	+	12.6110i	−0.641059	+	0.411983i	−0.820389	−	0.571805i	$-0.806243\pi$
$937$	−19.6231	+	12.6110i	−0.641059	+	0.411983i	0.179330	+	0.983789i	$0.442607\pi$
$938$	5.40717	−	37.6077i	0.176550	−	1.22793i
$939$	44.6821	+	28.7154i	1.45814	+	0.937093i
$940$	−5.98572	+	6.90789i	−0.195233	+	0.225310i
$941$	−11.1443	−	3.27226i	−0.363293	−	0.106673i	0.0949912	−	0.995478i	$-0.469718\pi$
$941$	−11.1443	−	3.27226i	−0.363293	−	0.106673i	−0.458284	+	0.888806i	$0.651536\pi$
$942$	−22.8664			−0.745027
$943$		0			0
$944$	11.2294			0.365486
$945$	2.24187	+	0.658271i	0.0729279	+	0.0214136i
$946$	12.2859	−	14.1787i	0.399449	−	0.460988i
$947$	5.04579	+	3.24273i	0.163966	+	0.105375i	0.620050	−	0.784562i	$-0.287112\pi$
$947$	5.04579	+	3.24273i	0.163966	+	0.105375i	−0.456084	+	0.889937i	$0.650748\pi$
$948$	−5.80028	+	40.3418i	−0.188384	+	1.31024i
$949$	−1.06515	+	0.684529i	−0.0345762	+	0.0222207i
$950$	25.3707	+	55.5542i	0.823135	+	1.80241i
$951$	−14.5038	−	16.7382i	−0.470317	−	0.542775i
$952$	−0.993521	−	6.91009i	−0.0322002	−	0.223957i
$953$	−7.43870	+	16.2885i	−0.240963	+	0.527636i	−0.991016	−	0.133742i	$-0.957301\pi$
$953$	−7.43870	+	16.2885i	−0.240963	+	0.527636i	0.750053	+	0.661378i	$0.230028\pi$
$954$	−68.8636	+	20.2202i	−2.22954	+	0.654653i
$955$	−24.6111	+	7.22648i	−0.796397	+	0.233843i
$956$	−26.7142	+	58.4959i	−0.863998	+	1.89189i
$957$	−3.40368	−	23.6731i	−0.110025	−	0.765243i
$958$	36.7660	+	42.4302i	1.18786	+	1.37086i
$959$	−0.687578	−	1.50559i	−0.0222031	−	0.0486179i
$960$	−33.3464	+	21.4304i	−1.07625	+	0.691664i
$961$	3.95949	−	27.5389i	0.127726	−	0.888351i
$962$	1.41436	+	0.908954i	0.0456008	+	0.0293058i
$963$	−4.31881	+	4.98418i	−0.139172	+	0.160613i
$964$	−16.2472	−	4.77062i	−0.523288	−	0.153651i
$965$	−18.1172			−0.583213
$966$		0			0
$967$	33.5068			1.07751			0.538753	−	0.842464i	$-0.318896\pi$
$967$	33.5068			1.07751			0.538753	+	0.842464i	$0.318896\pi$
$968$	13.2921	+	3.90292i	0.427225	+	0.125445i
$969$	20.4995	−	23.6577i	0.658539	−	0.759994i
$970$	−9.91088	−	6.36933i	−0.318219	−	0.204507i
$971$	−8.43728	+	58.6825i	−0.270765	+	1.88321i	0.169780	+	0.985482i	$0.445694\pi$
$971$	−8.43728	+	58.6825i	−0.270765	+	1.88321i	−0.440545	+	0.897731i	$0.645215\pi$
$972$	53.7396	−	34.5363i	1.72370	−	1.10775i
$973$	−13.7562	−	30.1219i	−0.441004	−	0.965664i
$974$	8.89081	+	10.2605i	0.284880	+	0.328769i
$975$	−0.243936	−	1.69661i	−0.00781219	−	0.0543350i
$976$	−4.80105	+	10.5128i	−0.153678	+	0.336508i
$977$	12.1299	−	3.56165i	0.388069	−	0.113947i	−0.0818770	−	0.996642i	$-0.526091\pi$
$977$	12.1299	−	3.56165i	0.388069	−	0.113947i	0.469946	+	0.882695i	$0.344273\pi$
$978$	−78.5916	+	23.0766i	−2.51308	+	0.737908i
$979$	11.0397	−	24.1735i	0.352830	−	0.772589i
$980$	−0.688444	−	4.78823i	−0.0219915	−	0.152954i
$981$	−33.8732	−	39.0917i	−1.08149	−	1.24810i
$982$	−29.8861	−	65.4415i	−0.953704	−	2.08832i
$983$	−49.0998	+	31.5545i	−1.56604	+	1.00643i	−0.585369	+	0.810767i	$0.699050\pi$
$983$	−49.0998	+	31.5545i	−1.56604	+	1.00643i	−0.980671	+	0.195666i	$0.937313\pi$
$984$	0.287730	−	2.00121i	0.00917251	−	0.0637962i
$985$	−12.1473	−	7.80657i	−0.387044	−	0.248738i
$986$	11.2041	−	12.9303i	0.356812	−	0.411783i
$987$	14.8110	+	4.34891i	0.471440	+	0.138427i
$988$	−4.48019			−0.142534
$989$		0			0
$990$	17.2784			0.549142
$991$	43.9362	+	12.9008i	1.39568	+	0.409809i	0.891198	−	0.453614i	$-0.149866\pi$
$991$	43.9362	+	12.9008i	1.39568	+	0.409809i	0.504481	+	0.863423i	$0.331684\pi$
$992$	8.40543	−	9.70039i	0.266873	−	0.307988i
$993$	−63.8270	−	41.0192i	−2.02549	−	1.30170i
$994$	−0.543421	+	3.77957i	−0.0172363	+	0.119881i
$995$	5.95345	−	3.82605i	0.188737	−	0.121294i
$996$	38.4347	+	84.1602i	1.21785	+	2.66672i
$997$	25.7701	+	29.7403i	0.816149	+	0.941886i	0.999150	−	0.0412270i	$-0.0131267\pi$
$997$	25.7701	+	29.7403i	0.816149	+	0.941886i	−0.183001	+	0.983113i	$0.558581\pi$
$998$	2.68877	+	18.7008i	0.0851116	+	0.591964i
$999$	−1.28469	+	2.81307i	−0.0406457	+	0.0890017i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.b.501.1		10
23.2	even	11		23.2.c.a.3.1	✓	10
23.3	even	11		529.2.a.i.1.5		5
23.4	even	11		529.2.c.i.334.1		10
23.5	odd	22		529.2.c.e.266.1		10
23.6	even	11		529.2.c.g.487.1		10
23.7	odd	22		529.2.c.a.399.1		10
23.8	even	11		529.2.c.i.255.1		10
23.9	even	11	inner	529.2.c.b.170.1		10
23.10	odd	22		529.2.c.f.466.1		10
23.11	odd	22		529.2.c.e.177.1		10
23.12	even	11		529.2.c.d.177.1		10
23.13	even	11		529.2.c.g.466.1		10
23.14	odd	22		529.2.c.c.170.1		10
23.15	odd	22		529.2.c.h.255.1		10
23.16	even	11		23.2.c.a.8.1	yes	10
23.17	odd	22		529.2.c.f.487.1		10
23.18	even	11		529.2.c.d.266.1		10
23.19	odd	22		529.2.c.h.334.1		10
23.20	odd	22		529.2.a.j.1.5		5
23.21	odd	22		529.2.c.a.118.1		10
23.22	odd	2		529.2.c.c.501.1		10
69.2	odd	22		207.2.i.c.118.1		10
69.20	even	22		4761.2.a.bn.1.1		5
69.26	odd	22		4761.2.a.bo.1.1		5
69.62	odd	22		207.2.i.c.100.1		10
92.3	odd	22		8464.2.a.bs.1.5		5
92.39	odd	22		368.2.m.c.353.1		10
92.43	even	22		8464.2.a.bt.1.5		5
92.71	odd	22		368.2.m.c.49.1		10
115.2	odd	44		575.2.p.b.49.2		20
115.39	even	22		575.2.k.b.376.1		10
115.48	odd	44		575.2.p.b.49.1		20
115.62	odd	44		575.2.p.b.399.1		20
115.94	even	22		575.2.k.b.26.1		10
115.108	odd	44		575.2.p.b.399.2		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.3.1	✓	10	23.2	even	11
23.2.c.a.8.1	yes	10	23.16	even	11
207.2.i.c.100.1		10	69.62	odd	22
207.2.i.c.118.1		10	69.2	odd	22
368.2.m.c.49.1		10	92.71	odd	22
368.2.m.c.353.1		10	92.39	odd	22
529.2.a.i.1.5		5	23.3	even	11
529.2.a.j.1.5		5	23.20	odd	22
529.2.c.a.118.1		10	23.21	odd	22
529.2.c.a.399.1		10	23.7	odd	22
529.2.c.b.170.1		10	23.9	even	11	inner
529.2.c.b.501.1		10	1.1	even	1	trivial
529.2.c.c.170.1		10	23.14	odd	22
529.2.c.c.501.1		10	23.22	odd	2
529.2.c.d.177.1		10	23.12	even	11
529.2.c.d.266.1		10	23.18	even	11
529.2.c.e.177.1		10	23.11	odd	22
529.2.c.e.266.1		10	23.5	odd	22
529.2.c.f.466.1		10	23.10	odd	22
529.2.c.f.487.1		10	23.17	odd	22
529.2.c.g.466.1		10	23.13	even	11
529.2.c.g.487.1		10	23.6	even	11
529.2.c.h.255.1		10	23.15	odd	22
529.2.c.h.334.1		10	23.19	odd	22
529.2.c.i.255.1		10	23.8	even	11
529.2.c.i.334.1		10	23.4	even	11
575.2.k.b.26.1		10	115.94	even	22
575.2.k.b.376.1		10	115.39	even	22
575.2.p.b.49.1		20	115.48	odd	44
575.2.p.b.49.2		20	115.2	odd	44
575.2.p.b.399.1		20	115.62	odd	44
575.2.p.b.399.2		20	115.108	odd	44
4761.2.a.bn.1.1		5	69.20	even	22
4761.2.a.bo.1.1		5	69.26	odd	22
8464.2.a.bs.1.5		5	92.3	odd	22
8464.2.a.bt.1.5		5	92.43	even	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(-2.11435 - 0.620830i) q^{2} +(1.64589 - 1.89945i) q^{3} +(2.40255 + 1.54403i) q^{4} +(0.175969 - 1.22389i) q^{5} +(-4.65922 + 2.99430i) q^{6} +(-0.985691 - 2.15836i) q^{7} +(-1.23515 - 1.42544i) q^{8} +(-0.472039 - 3.28310i) q^{9} +(-1.13189 + 2.47850i) q^{10} +(1.83440 - 0.538629i) q^{11} +(6.88714 - 2.02225i) q^{12} +(0.0816181 - 0.178719i) q^{13} +(0.744123 + 5.17549i) q^{14} +(-2.03510 - 2.34863i) q^{15} +(-0.646201 - 1.41498i) q^{16} +(-1.31228 + 0.843349i) q^{17} +(-1.04019 + 7.23470i) q^{18} +(-6.71695 - 4.31672i) q^{19} +(2.31250 - 2.66877i) q^{20} +(-5.72204 - 1.68014i) q^{21} -4.21297 q^{22} -4.74046 q^{24} +(3.33052 + 0.977928i) q^{25} +(-0.283524 + 0.327204i) q^{26} +(-0.669961 - 0.430558i) q^{27} +(0.964395 - 6.70752i) q^{28} +(4.18718 - 2.69094i) q^{29} +(2.84482 + 6.22930i) q^{30} +(-1.16741 - 1.34726i) q^{31} +(1.02468 + 7.12680i) q^{32} +(1.99611 - 4.37088i) q^{33} +(3.29819 - 0.968437i) q^{34} +(-2.81506 + 0.826575i) q^{35} +(3.93510 - 8.61667i) q^{36} +(-0.552641 - 3.84370i) q^{37} +(11.5221 + 13.2972i) q^{38} +(-0.205134 - 0.449181i) q^{39} +(-1.96193 + 1.26086i) q^{40} +(-0.0606967 + 0.422155i) q^{41} +(11.0553 + 7.10483i) q^{42} +(-2.91621 + 3.36548i) q^{43} +(5.23891 + 1.53828i) q^{44} -4.10123 q^{45} -2.58842 q^{47} +(-3.75126 - 1.10147i) q^{48} +(0.897086 - 1.03529i) q^{49} +(-6.43476 - 4.13537i) q^{50} +(-0.557955 + 3.88066i) q^{51} +(0.472039 - 0.303361i) q^{52} +(4.07912 + 8.93203i) q^{53} +(1.14923 + 1.32628i) q^{54} +(-0.336426 - 2.33989i) q^{55} +(-1.85913 + 4.07093i) q^{56} +(-19.2548 + 5.65371i) q^{57} +(-10.5238 + 3.09007i) q^{58} +(-2.99884 + 6.56655i) q^{59} +(-1.26309 - 8.78498i) q^{60} +(-4.86539 - 5.61496i) q^{61} +(1.63189 + 3.57334i) q^{62} +(-6.62084 + 4.25495i) q^{63} +(1.81524 - 12.6253i) q^{64} +(-0.204370 - 0.131341i) q^{65} +(-6.93407 + 8.00234i) q^{66} +(-6.97216 - 2.04721i) q^{67} -4.45497 q^{68} +6.46519 q^{70} +(0.700702 + 0.205745i) q^{71} +(-4.09682 + 4.72798i) q^{72} +(-5.42132 - 3.48407i) q^{73} +(-1.21781 + 8.47004i) q^{74} +(7.33918 - 4.71660i) q^{75} +(-9.47270 - 20.7423i) q^{76} +(-2.97071 - 3.42838i) q^{77} +(0.154861 + 1.07708i) q^{78} +(-2.35876 + 5.16497i) q^{79} +(-1.84550 + 0.541887i) q^{80} +(7.62702 - 2.23949i) q^{81} +(0.390421 - 0.854902i) q^{82} +(1.83440 + 12.7585i) q^{83} +(-11.1533 - 12.8716i) q^{84} +(0.801248 + 1.75449i) q^{85} +(8.25528 - 5.30535i) q^{86} +(1.78031 - 12.3823i) q^{87} +(-3.03354 - 1.94954i) q^{88} +(9.10271 - 10.5051i) q^{89} +(8.67145 + 2.54617i) q^{90} -0.466190 q^{91} -4.48047 q^{93} +(5.47283 + 1.60697i) q^{94} +(-6.46519 + 7.46122i) q^{95} +(15.2235 + 9.78357i) q^{96} +(-0.615337 + 4.27976i) q^{97} +(-2.53950 + 1.63204i) q^{98} +(-2.63428 - 5.76827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 7 q^{2} + 4 q^{3} - 3 q^{4} - 3 q^{5} - 5 q^{6} + 6 q^{7} + 4 q^{8} + 9 q^{9} - 10 q^{10} - 4 q^{11} + 23 q^{12} + 8 q^{13} - 2 q^{14} - 10 q^{15} - 21 q^{16} + q^{17} + 8 q^{18} - 20 q^{19} + 24 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) \) 10 * q - 7 * q^2 + 4 * q^3 - 3 * q^4 - 3 * q^5 - 5 * q^6 + 6 * q^7 + 4 * q^8 + 9 * q^9 - 10 * q^10 - 4 * q^11 + 23 * q^12 + 8 * q^13 - 2 * q^14 - 10 * q^15 - 21 * q^16 + q^17 + 8 * q^18 - 20 * q^19 + 24 * q^20 - 2 * q^21 - 6 * q^22 - 38 * q^24 - 4 * q^25 + q^26 + 7 * q^27 + 7 * q^28 + 14 * q^29 + 7 * q^30 - q^31 - q^32 + 5 * q^33 + 18 * q^34 - 26 * q^35 + 5 * q^36 - 8 * q^37 + 14 * q^38 + 12 * q^39 - 32 * q^40 + 7 * q^41 + 30 * q^42 + 10 * q^44 - 6 * q^45 - 18 * q^47 - 4 * q^48 + 15 * q^49 - 39 * q^50 - 15 * q^51 - 9 * q^52 - 4 * q^53 - 28 * q^54 - q^55 - 13 * q^56 - 52 * q^57 - 23 * q^58 + q^59 - 8 * q^60 + 14 * q^61 + 15 * q^62 - 10 * q^63 + 2 * q^64 + 24 * q^65 - 42 * q^66 - 32 * q^67 - 30 * q^68 + 38 * q^70 + 19 * q^71 - 14 * q^72 + 19 * q^73 - 34 * q^74 + 16 * q^75 - 16 * q^76 + 2 * q^77 - 4 * q^78 + 40 * q^79 + 3 * q^80 + 33 * q^81 - 17 * q^82 - 4 * q^83 - 17 * q^84 + 3 * q^85 + 22 * q^86 - q^87 - 50 * q^88 + 14 * q^89 + 13 * q^90 - 4 * q^91 + 4 * q^93 + 17 * q^94 - 38 * q^95 + 37 * q^96 + 43 * q^97 - 5 * q^98 + 3 * q^99

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