LMFDB - Embedded newform 252.2.n.b.31.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.16
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.568881 + 1.29475i) q^{2} +(1.73205 + 0.00306272i) q^{3} +(-1.35275 - 1.47312i) q^{4} +3.10969i q^{5} +(-0.989294 + 2.24082i) q^{6} +(2.27748 - 1.34650i) q^{7} +(2.67687 - 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +O(q^{10})$	\(q+(-0.568881 + 1.29475i) q^{2} +(1.73205 + 0.00306272i) q^{3} +(-1.35275 - 1.47312i) q^{4} +3.10969i q^{5} +(-0.989294 + 2.24082i) q^{6} +(2.27748 - 1.34650i) q^{7} +(2.67687 - 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +(-4.02627 - 1.76904i) q^{10} +2.24771i q^{11} +(-2.33851 - 2.55565i) q^{12} +(-3.87442 - 2.23689i) q^{13} +(0.447765 + 3.71477i) q^{14} +(-0.00952410 + 5.38613i) q^{15} +(-0.340139 + 3.98551i) q^{16} +(-2.92047 - 1.68614i) q^{17} +(-1.72037 + 3.87819i) q^{18} +(3.28507 + 5.68990i) q^{19} +(4.58093 - 4.20663i) q^{20} +(3.94884 - 2.32523i) q^{21} +(-2.91022 - 1.27868i) q^{22} -0.861779i q^{23} +(4.63926 - 1.57393i) q^{24} -4.67017 q^{25} +(5.10030 - 3.74387i) q^{26} +(5.19608 + 0.0275643i) q^{27} +(-5.06442 - 1.53352i) q^{28} +(0.897936 + 1.55527i) q^{29} +(-6.96827 - 3.07640i) q^{30} +(-3.23777 - 5.60798i) q^{31} +(-4.96674 - 2.70768i) q^{32} +(-0.00688410 + 3.89314i) q^{33} +(3.84452 - 2.82207i) q^{34} +(4.18720 + 7.08227i) q^{35} +(-4.04259 - 4.43367i) q^{36} +(-1.93958 - 3.35945i) q^{37} +(-9.23580 + 1.01646i) q^{38} +(-6.70382 - 3.88628i) q^{39} +(2.84053 + 8.32423i) q^{40} +(-1.06232 - 0.613333i) q^{41} +(0.764174 + 6.43553i) q^{42} +(0.846269 - 0.488593i) q^{43} +(3.31113 - 3.04059i) q^{44} +(-0.0329924 + 9.32901i) q^{45} +(1.11579 + 0.490250i) q^{46} +(5.74377 - 9.94851i) q^{47} +(-0.601344 + 6.90206i) q^{48} +(3.37386 - 6.13327i) q^{49} +(2.65677 - 6.04670i) q^{50} +(-5.05324 - 2.92941i) q^{51} +(1.94591 + 8.73342i) q^{52} +(-0.992739 + 1.71947i) q^{53} +(-2.99164 + 6.71194i) q^{54} -6.98968 q^{55} +(4.86657 - 5.68476i) q^{56} +(5.67247 + 9.86524i) q^{57} +(-2.52450 + 0.277838i) q^{58} +(-3.08911 - 5.35050i) q^{59} +(7.94728 - 7.27206i) q^{60} +(-11.4211 - 6.59399i) q^{61} +(9.10282 - 1.00182i) q^{62} +(6.84669 - 4.01532i) q^{63} +(6.33124 - 4.89033i) q^{64} +(6.95605 - 12.0482i) q^{65} +(-5.03672 - 2.22365i) q^{66} +(10.1987 - 5.88823i) q^{67} +(1.46679 + 6.58311i) q^{68} +(0.00263939 - 1.49264i) q^{69} +(-11.5518 + 1.39241i) q^{70} -3.55574i q^{71} +(8.04024 - 2.71191i) q^{72} +(3.89746 + 2.25020i) q^{73} +(5.45304 - 0.600142i) q^{74} +(-8.08896 - 0.0143034i) q^{75} +(3.93801 - 12.5363i) q^{76} +(3.02654 + 5.11912i) q^{77} +(8.84543 - 6.46894i) q^{78} +(9.73626 + 5.62123i) q^{79} +(-12.3937 - 1.05773i) q^{80} +(8.99977 + 0.0636569i) q^{81} +(1.39845 - 1.02653i) q^{82} +(1.48263 + 2.56798i) q^{83} +(-8.76712 - 2.67164i) q^{84} +(5.24336 - 9.08177i) q^{85} +(0.151180 + 1.37366i) q^{86} +(1.55050 + 2.69655i) q^{87} +(2.05315 + 6.01682i) q^{88} +(-13.1148 + 7.57182i) q^{89} +(-12.0600 - 5.34981i) q^{90} +(-11.8359 + 0.122418i) q^{91} +(-1.26950 + 1.16577i) q^{92} +(-5.59079 - 9.72320i) q^{93} +(9.61330 + 13.0963i) q^{94} +(-17.6938 + 10.2155i) q^{95} +(-8.59434 - 4.70504i) q^{96} +(2.86666 - 1.65507i) q^{97} +(6.02172 + 7.85741i) q^{98} +(-0.0238472 + 6.74308i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.568881	+	1.29475i	−0.402259	+	0.915526i
$2$	−0.568881	+	1.29475i	−0.402259	+	0.915526i
$3$	1.73205	+	0.00306272i	0.999998	+	0.00176826i
$3$	1.73205	+	0.00306272i	0.999998	+	0.00176826i
$4$	−1.35275	−	1.47312i	−0.676375	−	0.736558i
$5$			3.10969i			1.39070i	0.718673	+	0.695348i	$0.244750\pi$
$5$			3.10969i			1.39070i	−0.718673	+	0.695348i	$0.755250\pi$
$6$	−0.989294	+	2.24082i	−0.403878	+	0.914813i
$7$	2.27748	−	1.34650i	0.860808	−	0.508930i
$7$	2.27748	−	1.34650i	0.860808	−	0.508930i
$8$	2.67687	−	0.913443i	0.946416	−	0.322951i
$9$	2.99998	+	0.0106095i	0.999994	+	0.00353652i
$10$	−4.02627	−	1.76904i	−1.27322	−	0.559421i
$11$			2.24771i			0.677710i	0.940839	+	0.338855i	$0.110040\pi$
$11$			2.24771i			0.677710i	−0.940839	+	0.338855i	$0.889960\pi$
$12$	−2.33851	−	2.55565i	−0.675071	−	0.737753i
$13$	−3.87442	−	2.23689i	−1.07457	−	0.620403i	−0.145143	−	0.989411i	$-0.546364\pi$
$13$	−3.87442	−	2.23689i	−1.07457	−	0.620403i	−0.929426	+	0.369008i	$0.879698\pi$
$14$	0.447765	+	3.71477i	0.119670	+	0.992814i
$15$	−0.00952410	+	5.38613i	−0.00245911	+	1.39069i
$16$	−0.340139	+	3.98551i	−0.0850348	+	0.996378i
$17$	−2.92047	−	1.68614i	−0.708319	−	0.408948i	0.102119	−	0.994772i	$-0.467438\pi$
$17$	−2.92047	−	1.68614i	−0.708319	−	0.408948i	−0.810438	+	0.585824i	$0.800771\pi$
$18$	−1.72037	+	3.87819i	−0.405495	+	0.914097i
$19$	3.28507	+	5.68990i	0.753646	+	1.30535i	0.946045	+	0.324036i	$0.105040\pi$
$19$	3.28507	+	5.68990i	0.753646	+	1.30535i	−0.192399	+	0.981317i	$0.561627\pi$
$20$	4.58093	−	4.20663i	1.02433	−	0.940631i
$21$	3.94884	−	2.32523i	0.861706	−	0.507407i
$22$	−2.91022	−	1.27868i	−0.620461	−	0.272615i
$23$		−	0.861779i		−	0.179693i	−0.995956	−	0.0898467i	$-0.971362\pi$
$23$		−	0.861779i		−	0.179693i	0.995956	−	0.0898467i	$-0.0286377\pi$
$24$	4.63926	−	1.57393i	0.946985	−	0.321277i
$25$	−4.67017			−0.934034
$26$	5.10030	−	3.74387i	1.00025	−	0.734233i
$27$	5.19608	+	0.0275643i	0.999986	+	0.00530476i
$28$	−5.06442	−	1.53352i	−0.957085	−	0.289807i
$29$	0.897936	+	1.55527i	0.166743	+	0.288807i	0.937273	−	0.348597i	$-0.113342\pi$
$29$	0.897936	+	1.55527i	0.166743	+	0.288807i	−0.770530	+	0.637403i	$0.780008\pi$
$30$	−6.96827	−	3.07640i	−1.27223	−	0.561671i
$31$	−3.23777	−	5.60798i	−0.581520	−	1.00722i	−0.995299	−	0.0968450i	$-0.969125\pi$
$31$	−3.23777	−	5.60798i	−0.581520	−	1.00722i	0.413780	−	0.910377i	$-0.364208\pi$
$32$	−4.96674	−	2.70768i	−0.878004	−	0.478654i
$33$	−0.00688410	+	3.89314i	−0.00119837	+	0.677709i
$34$	3.84452	−	2.82207i	0.659330	−	0.483981i
$35$	4.18720	+	7.08227i	0.707767	+	1.19712i
$36$	−4.04259	−	4.43367i	−0.673766	−	0.738945i
$37$	−1.93958	−	3.35945i	−0.318865	−	0.552291i	0.661386	−	0.750045i	$-0.269968\pi$
$37$	−1.93958	−	3.35945i	−0.318865	−	0.552291i	−0.980252	+	0.197755i	$0.936635\pi$
$38$	−9.23580	+	1.01646i	−1.49825	+	0.164892i
$39$	−6.70382	−	3.88628i	−1.07347	−	0.622302i
$40$	2.84053	+	8.32423i	0.449126	+	1.31618i
$41$	−1.06232	−	0.613333i	−0.165907	−	0.0957866i	0.414747	−	0.909937i	$-0.363870\pi$
$41$	−1.06232	−	0.613333i	−0.165907	−	0.0957866i	−0.580655	+	0.814150i	$0.697203\pi$
$42$	0.764174	+	6.43553i	0.117915	+	0.993024i
$43$	0.846269	−	0.488593i	0.129055	−	0.0745098i	−0.434083	−	0.900873i	$-0.642927\pi$
$43$	0.846269	−	0.488593i	0.129055	−	0.0745098i	0.563138	+	0.826363i	$0.309594\pi$
$44$	3.31113	−	3.04059i	0.499172	−	0.458386i
$45$	−0.0329924	+	9.32901i	−0.00491822	+	1.39069i
$46$	1.11579	+	0.490250i	0.164514	+	0.0722834i
$47$	5.74377	−	9.94851i	0.837815	−	1.45114i	−0.0539020	−	0.998546i	$-0.517166\pi$
$47$	5.74377	−	9.94851i	0.837815	−	1.45114i	0.891717	−	0.452593i	$-0.149501\pi$
$48$	−0.601344	+	6.90206i	−0.0867965	+	0.996226i
$49$	3.37386	−	6.13327i	0.481981	−	0.876182i
$50$	2.65677	−	6.04670i	0.375724	−	0.855132i
$51$	−5.05324	−	2.92941i	−0.707595	−	0.410200i
$52$	1.94591	+	8.73342i	0.269849	+	1.21111i
$53$	−0.992739	+	1.71947i	−0.136363	+	0.236188i	−0.926117	−	0.377235i	$-0.876875\pi$
$53$	−0.992739	+	1.71947i	−0.136363	+	0.236188i	0.789754	+	0.613423i	$0.210208\pi$
$54$	−2.99164	+	6.71194i	−0.407110	+	0.913379i
$55$	−6.98968			−0.942488
$56$	4.86657	−	5.68476i	0.650323	−	0.759658i
$57$	5.67247	+	9.86524i	0.751336	+	1.30668i
$58$	−2.52450	+	0.277838i	−0.331484	+	0.0364819i
$59$	−3.08911	−	5.35050i	−0.402168	−	0.696576i	0.591819	−	0.806071i	$-0.298410\pi$
$59$	−3.08911	−	5.35050i	−0.402168	−	0.696576i	−0.993987	+	0.109495i	$0.965077\pi$
$60$	7.94728	−	7.27206i	1.02599	−	0.938818i
$61$	−11.4211	−	6.59399i	−1.46233	−	0.844275i	−0.463208	−	0.886250i	$-0.653302\pi$
$61$	−11.4211	−	6.59399i	−1.46233	−	0.844275i	−0.999119	+	0.0419752i	$0.986635\pi$
$62$	9.10282	−	1.00182i	1.15606	−	0.127232i
$63$	6.84669	−	4.01532i	0.862602	−	0.505883i
$64$	6.33124	−	4.89033i	0.791405	−	0.611292i
$65$	6.95605	−	12.0482i	0.862792	−	1.49440i
$66$	−5.03672	−	2.22365i	−0.619978	−	0.273712i
$67$	10.1987	−	5.88823i	1.24597	−	0.719362i	0.275668	−	0.961253i	$-0.411101\pi$
$67$	10.1987	−	5.88823i	1.24597	−	0.719362i	0.970303	+	0.241891i	$0.0777677\pi$
$68$	1.46679	+	6.58311i	0.177875	+	0.798320i
$69$	0.00263939	−	1.49264i	0.000317745	−	0.179693i
$70$	−11.5518	+	1.39241i	−1.38070	+	0.166425i
$71$		−	3.55574i		−	0.421989i	−0.977487	−	0.210994i	$-0.932330\pi$
$71$		−	3.55574i		−	0.421989i	0.977487	−	0.210994i	$-0.0676702\pi$
$72$	8.04024	−	2.71191i	0.947552	−	0.319602i
$73$	3.89746	+	2.25020i	0.456163	+	0.263366i	0.710429	−	0.703768i	$-0.248501\pi$
$73$	3.89746	+	2.25020i	0.456163	+	0.263366i	−0.254267	+	0.967134i	$0.581834\pi$
$74$	5.45304	−	0.600142i	0.633903	−	0.0697651i
$75$	−8.08896	−	0.0143034i	−0.934033	−	0.00165162i
$76$	3.93801	−	12.5363i	0.451721	−	1.43801i
$77$	3.02654	+	5.11912i	0.344907	+	0.583378i
$78$	8.84543	−	6.46894i	1.00155	−	0.732463i
$79$	9.73626	+	5.62123i	1.09542	+	0.632438i	0.935013	−	0.354614i	$-0.115388\pi$
$79$	9.73626	+	5.62123i	1.09542	+	0.632438i	0.160402	+	0.987052i	$0.448721\pi$
$80$	−12.3937	−	1.05773i	−1.38566	−	0.118258i
$81$	8.99977	+	0.0636569i	0.999975	+	0.00707299i
$82$	1.39845	−	1.02653i	0.154433	−	0.113361i
$83$	1.48263	+	2.56798i	0.162739	+	0.281873i	0.935850	−	0.352398i	$-0.114634\pi$
$83$	1.48263	+	2.56798i	0.162739	+	0.281873i	−0.773111	+	0.634271i	$0.781300\pi$
$84$	−8.76712	−	2.67164i	−0.956571	−	0.291499i
$85$	5.24336	−	9.08177i	0.568722	−	0.985056i
$86$	0.151180	+	1.37366i	0.0163021	+	0.148125i
$87$	1.55050	+	2.69655i	0.166232	+	0.289101i
$88$	2.05315	+	6.01682i	0.218867	+	0.641395i
$89$	−13.1148	+	7.57182i	−1.39016	+	0.802611i	−0.993333	−	0.115280i	$-0.963223\pi$
$89$	−13.1148	+	7.57182i	−1.39016	+	0.802611i	−0.396831	+	0.917892i	$0.629890\pi$
$90$	−12.0600	−	5.34981i	−1.27123	−	0.563920i
$91$	−11.8359	+	0.122418i	−1.24074	+	0.0128329i
$92$	−1.26950	+	1.16577i	−0.132355	+	0.121540i
$93$	−5.59079	−	9.72320i	−0.579738	−	1.00825i
$94$	9.61330	+	13.0963i	0.991536	+	1.35078i
$95$	−17.6938	+	10.2155i	−1.81535	+	1.04809i
$96$	−8.59434	−	4.70504i	−0.877156	−	0.480206i
$97$	2.86666	−	1.65507i	0.291066	−	0.168047i	−0.347357	−	0.937733i	$-0.612921\pi$
$97$	2.86666	−	1.65507i	0.291066	−	0.168047i	0.638422	+	0.769686i	$0.279587\pi$
$98$	6.02172	+	7.85741i	0.608286	+	0.793718i
$99$	−0.0238472	+	6.74308i	−0.00239673	+	0.677705i
$100$	6.31757	+	6.87970i	0.631757	+	0.687970i
$101$			11.3509i			1.12946i	0.825276	+	0.564729i	$0.191019\pi$
$101$			11.3509i			1.12946i	−0.825276	+	0.564729i	$0.808981\pi$
$102$	6.66754	−	4.87618i	0.660185	−	0.482814i
$103$	−14.8962			−1.46777			−0.733883	−	0.679276i	$-0.762294\pi$
$103$	−14.8962			−1.46777			−0.733883	+	0.679276i	$0.762294\pi$
$104$	−12.4146	−	2.44881i	−1.21735	−	0.240126i
$105$	7.23075	+	12.2797i	0.705649	+	1.19837i
$106$	−1.66154	−	2.26352i	−0.161383	−	0.219853i
$107$	−7.24634	+	4.18368i	−0.700531	+	0.404452i	−0.807545	−	0.589806i	$-0.799204\pi$
$107$	−7.24634	+	4.18368i	−0.700531	+	0.404452i	0.107014	+	0.994257i	$0.465871\pi$
$108$	−6.98839	−	7.69171i	−0.672458	−	0.740135i
$109$	1.40873	−	2.44000i	0.134932	−	0.233709i	−0.790639	−	0.612282i	$-0.790252\pi$
$109$	1.40873	−	2.44000i	0.134932	−	0.233709i	0.925572	+	0.378573i	$0.123585\pi$
$110$	3.97629	−	9.04988i	0.379125	−	0.862872i
$111$	−3.34916	−	5.82467i	−0.317888	−	0.552854i
$112$	4.59184	+	9.53494i	0.433888	+	0.900967i
$113$	0.160482	−	0.277962i	0.0150968	−	0.0261485i	−0.858378	−	0.513017i	$-0.828528\pi$
$113$	0.160482	−	0.277962i	0.0150968	−	0.0261485i	0.873475	+	0.486869i	$0.161861\pi$
$114$	−16.0000	+	1.73227i	−1.49853	+	0.162242i
$115$	2.67987			0.249899
$116$	1.07641	−	3.42665i	0.0999423	−	0.318157i
$117$	−11.5994	−	6.75175i	−1.07237	−	0.624199i
$118$	8.68489	−	0.955828i	0.799509	−	0.0879911i
$119$	−8.92172	+	0.0922765i	−0.817852	+	0.00845897i
$120$	4.89443	+	14.4267i	0.446798	+	1.31697i
$121$	5.94780			0.540710
$122$	15.0348	−	11.0363i	1.36119	−	0.999180i
$123$	−1.83812	−	1.06558i	−0.165738	−	0.0960798i
$124$	−3.88131	+	12.3558i	−0.348552	+	1.10958i
$125$			1.02566i			0.0917382i
$126$	1.30388	+	11.1490i	0.116158	+	0.993231i
$127$			8.00490i			0.710320i	0.934805	+	0.355160i	$0.115574\pi$
$127$			8.00490i			0.710320i	−0.934805	+	0.355160i	$0.884426\pi$
$128$	2.73003	+	10.9794i	0.241303	+	0.970450i
$129$	1.46727	−	0.843675i	0.129186	−	0.0742815i
$130$	11.6423	+	15.8603i	1.02109	+	1.39104i
$131$	4.06766			0.355393			0.177696	−	0.984085i	$-0.443136\pi$
$131$	4.06766			0.355393			0.177696	+	0.984085i	$0.443136\pi$
$132$	5.74436	−	5.25630i	0.499982	−	0.457502i
$133$	15.1431	+	8.53531i	1.31308	+	0.740105i
$134$	1.82193	+	16.5545i	0.157390	+	1.43009i
$135$	−0.0857166	+	16.1582i	−0.00737731	+	1.39068i
$136$	−9.35791	−	1.84588i	−0.802434	−	0.158283i
$137$	−15.0829			−1.28862			−0.644311	−	0.764763i	$-0.722856\pi$
$137$	−15.0829			−1.28862			−0.644311	+	0.764763i	$0.722856\pi$
$138$	1.93110	+	0.852553i	0.164386	+	0.0725742i
$139$	−4.06208	+	7.03573i	−0.344541	+	0.596762i	−0.985270	−	0.171004i	$-0.945299\pi$
$139$	−4.06208	+	7.03573i	−0.344541	+	0.596762i	0.640729	+	0.767767i	$0.278632\pi$
$140$	4.76876	−	15.7488i	0.403034	−	1.33101i
$141$	9.97896	−	17.2137i	0.840380	−	1.44966i
$142$	4.60379	+	2.02279i	0.386342	+	0.169749i
$143$	5.02789	−	8.70856i	0.420453	−	0.728246i
$144$	−1.06270	+	11.9529i	−0.0885580	+	0.996071i
$145$	−4.83641	+	2.79230i	−0.401642	+	0.231888i
$146$	−5.13063	+	3.76613i	−0.424614	+	0.311687i
$147$	5.86248	−	10.6128i	0.483529	−	0.875328i
$148$	−2.32510	+	7.40172i	−0.191122	+	0.608418i
$149$	−18.3598			−1.50410			−0.752048	−	0.659108i	$-0.770934\pi$
$149$	−18.3598			−1.50410			−0.752048	+	0.659108i	$0.770934\pi$
$150$	4.62017	−	10.4650i	0.377236	−	0.854467i
$151$		−	14.2167i		−	1.15693i	−0.815706	−	0.578467i	$-0.803651\pi$
$151$		−	14.2167i		−	1.15693i	0.815706	−	0.578467i	$-0.196349\pi$
$152$	13.9911	+	12.2304i	1.13483	+	0.992016i
$153$	−8.74348	−	5.08936i	−0.706868	−	0.411451i
$154$	−8.34972	+	1.00645i	−0.672839	+	0.0811017i
$155$	17.4391	−	10.0684i	1.40074	−	0.808717i
$156$	3.34366	+	15.1327i	0.267707	+	1.21158i
$157$	−7.27800	+	4.20195i	−0.580848	+	0.335352i	−0.761470	−	0.648200i	$-0.775522\pi$
$157$	−7.27800	+	4.20195i	−0.580848	+	0.335352i	0.180623	+	0.983552i	$0.442189\pi$
$158$	−12.8169	+	9.40820i	−1.01965	+	0.748476i
$159$	−1.72474	+	2.97517i	−0.136781	+	0.235946i
$160$	8.42003	−	15.4450i	0.665662	−	1.22104i
$161$	−1.16039	−	1.96269i	−0.0914514	−	0.154681i
$162$	−5.20222	+	11.6162i	−0.408725	+	0.912658i
$163$	19.0039	−	10.9719i	1.48850	−	0.859384i	0.488583	−	0.872517i	$-0.337514\pi$
$163$	19.0039	−	10.9719i	1.48850	−	0.859384i	0.999914	+	0.0131335i	$0.00418066\pi$
$164$	0.533548	+	2.39461i	0.0416631	+	0.186988i
$165$	−12.1065	−	0.0214074i	−0.942486	−	0.00166656i
$166$	−4.16833	+	0.458752i	−0.323525	+	0.0356060i
$167$	−1.89367	+	3.27994i	−0.146537	+	0.253809i	−0.929945	−	0.367698i	$-0.880146\pi$
$167$	−1.89367	+	3.27994i	−0.146537	+	0.253809i	0.783408	+	0.621507i	$0.213479\pi$
$168$	8.44654	−	9.83137i	0.651665	−	0.758507i
$169$	3.50739	+	6.07499i	0.269800	+	0.467307i
$170$	8.77576	+	11.9553i	0.673070	+	0.916928i
$171$	9.79477	+	17.1044i	0.749025	+	1.30801i
$172$	−1.86454	−	0.585707i	−0.142170	−	0.0446598i
$173$	−2.45195	−	1.41563i	−0.186418	−	0.107629i	0.403886	−	0.914809i	$-0.367659\pi$
$173$	−2.45195	−	1.41563i	−0.186418	−	0.107629i	−0.590305	+	0.807181i	$0.700992\pi$
$174$	−4.37341	+	0.473497i	−0.331548	+	0.0358957i
$175$	−10.6362	+	6.28840i	−0.804024	+	0.475358i
$176$	−8.95827	−	0.764534i	−0.675255	−	0.0576289i
$177$	−5.33410	−	9.27678i	−0.400936	−	0.697286i
$178$	−2.34286	−	21.2878i	−0.175605	−	1.59559i
$179$	8.30663	+	4.79584i	0.620867	+	0.358458i	0.777206	−	0.629246i	$-0.216636\pi$
$179$	8.30663	+	4.79584i	0.620867	+	0.358458i	−0.156340	+	0.987703i	$0.549969\pi$
$180$	13.7873	−	12.5712i	1.02765	−	0.937003i
$181$			7.07527i			0.525901i	0.964809	+	0.262950i	$0.0846955\pi$
$181$			7.07527i			0.525901i	−0.964809	+	0.262950i	$0.915304\pi$
$182$	6.57472	−	15.3942i	0.487350	−	1.14109i
$183$	−19.7618	−	11.4561i	−1.46083	−	0.846859i
$184$	−0.787186	−	2.30687i	−0.0580322	−	0.170065i
$185$	10.4469	−	6.03150i	0.768068	−	0.443444i
$186$	15.7696	−	1.70733i	1.15628	−	0.125187i
$187$	3.78994	−	6.56437i	0.277148	−	0.480035i
$188$	−22.4252	+	4.99659i	−1.63552	+	0.364414i
$189$	11.8711	−	6.93375i	0.863496	−	0.504356i
$190$	−3.16087	−	28.7205i	−0.229314	−	2.08360i
$191$	−15.4756	−	8.93484i	−1.11978	−	0.646503i	−0.178432	−	0.983952i	$-0.557102\pi$
$191$	−15.4756	−	8.93484i	−1.11978	−	0.646503i	−0.941344	+	0.337450i	$0.890436\pi$
$192$	10.9810	−	8.45090i	0.792485	−	0.609891i
$193$	6.69714	+	11.5998i	0.482071	+	0.834971i	0.999788	−	0.0205808i	$-0.00655153\pi$
$193$	6.69714	+	11.5998i	0.482071	+	0.834971i	−0.517718	+	0.855552i	$0.673218\pi$
$194$	0.512109	+	4.65315i	0.0367673	+	0.334076i
$195$	12.0851	−	20.8468i	0.865433	−	1.49287i
$196$	−13.5990	+	3.32669i	−0.971358	+	0.237621i
$197$	7.63734			0.544138			0.272069	−	0.962278i	$-0.412292\pi$
$197$	7.63734			0.544138			0.272069	+	0.962278i	$0.412292\pi$
$198$	−8.71703	−	3.86689i	−0.619493	−	0.274808i
$199$	−12.0186	+	20.8169i	−0.851978	+	1.47567i	0.0274425	+	0.999623i	$0.491264\pi$
$199$	−12.0186	+	20.8169i	−0.851978	+	1.47567i	−0.879420	+	0.476046i	$0.842070\pi$
$200$	−12.5014	+	4.26594i	−0.883985	+	0.301647i
$201$	17.6827	−	10.1675i	1.24724	−	0.717157i
$202$	−14.6966	−	6.45732i	−1.03405	−	0.454335i
$203$	4.13921	+	2.33303i	0.290516	+	0.163747i
$204$	2.52040	+	11.4068i	0.176463	+	0.798633i
$205$	1.90728	−	3.30350i	0.133210	−	0.230726i
$206$	8.47416	−	19.2868i	0.590423	−	1.34378i
$207$	0.00914309	−	2.58532i	0.000635489	−	0.179692i
$208$	10.2330	−	14.6807i	0.709532	−	1.01792i
$209$	−12.7892	+	7.38387i	−0.884650	+	0.510753i
$210$	−20.0125	+	2.37634i	−1.38099	+	0.163983i
$211$	−8.06636	−	4.65711i	−0.555311	−	0.320609i	0.195950	−	0.980614i	$-0.437221\pi$
$211$	−8.06636	−	4.65711i	−0.555311	−	0.320609i	−0.751261	+	0.660005i	$0.770554\pi$
$212$	3.87591	−	0.863598i	0.266199	−	0.0593122i
$213$	0.0108902	−	6.15871i	0.000746186	−	0.421988i
$214$	−1.29451	−	11.7622i	−0.0884907	−	0.804048i
$215$	1.51937	+	2.63163i	0.103620	+	0.179476i
$216$	13.9344	−	4.67254i	0.948116	−	0.317926i
$217$	−14.9251	−	8.41241i	−1.01318	−	0.571072i
$218$	2.35778	+	3.21202i	0.159689	+	0.217546i
$219$	6.74369	+	3.90939i	0.455696	+	0.264172i
$220$	9.45528	+	10.2966i	0.637475	+	0.694197i
$221$	7.54342	+	13.0656i	0.507425	+	0.878886i
$222$	9.44676	−	1.02277i	0.634025	−	0.0686441i
$223$	4.36816	+	7.56588i	0.292514	+	0.506649i	0.974403	−	0.224806i	$-0.0721750\pi$
$223$	4.36816	+	7.56588i	0.292514	+	0.506649i	−0.681890	+	0.731455i	$0.738842\pi$
$224$	−14.9576	+	0.521036i	−0.999394	+	0.0348132i
$225$	−14.0104	−	0.0495484i	−0.934028	−	0.00330323i
$226$	0.268597	+	0.365911i	0.0178668	+	0.0243400i
$227$	−21.7824			−1.44575			−0.722873	−	0.690981i	$-0.757179\pi$
$227$	−21.7824			−1.44575			−0.722873	+	0.690981i	$0.757179\pi$
$228$	6.85922	−	21.7014i	0.454263	−	1.43721i
$229$			8.50029i			0.561715i	0.959750	+	0.280857i	$0.0906188\pi$
$229$			8.50029i			0.561715i	−0.959750	+	0.280857i	$0.909381\pi$
$230$	−1.52452	+	3.46975i	−0.100524	+	0.228789i
$231$	5.22644	+	8.87583i	0.343875	+	0.583987i
$232$	3.82431	+	3.34304i	0.251078	+	0.219481i
$233$	9.13727	+	15.8262i	0.598602	+	1.03681i	0.993028	+	0.117882i	$0.0376103\pi$
$233$	9.13727	+	15.8262i	0.598602	+	1.03681i	−0.394425	+	0.918928i	$0.629056\pi$
$234$	15.3405	−	11.1774i	1.00284	−	0.730691i
$235$	30.9368	+	17.8614i	2.01809	+	1.16515i
$236$	−3.70311	+	11.7885i	−0.241052	+	0.767366i
$237$	16.8465	+	9.76607i	1.09429	+	0.634374i
$238$	4.95592	−	11.6039i	0.321245	−	0.752168i
$239$	18.8702	+	10.8947i	1.22061	+	0.704721i	0.965048	−	0.262072i	$-0.0844057\pi$
$239$	18.8702	+	10.8947i	1.22061	+	0.704721i	0.255564	+	0.966792i	$0.417739\pi$
$240$	−21.4633	−	1.86999i	−1.38545	−	0.120708i
$241$		−	4.85066i		−	0.312458i	−0.987721	−	0.156229i	$-0.950066\pi$
$241$		−	4.85066i		−	0.312458i	0.987721	−	0.156229i	$-0.0499338\pi$
$242$	−3.38359	+	7.70091i	−0.217506	+	0.495033i
$243$	15.5878	+	0.137821i	0.999961	+	0.00884119i
$244$	5.73621	+	25.7447i	0.367223	+	1.64813i
$245$	19.0726	+	10.4917i	1.21850	+	0.670288i
$246$	2.42532	−	1.77372i	0.154633	−	0.113088i
$247$		−	29.3934i		−	1.87026i
$248$	−13.7896	−	12.0543i	−0.875643	−	0.765448i
$249$	2.56012	+	4.45241i	0.162241	+	0.282160i
$250$	−1.32798	−	0.583481i	−0.0839887	−	0.0369026i
$251$	15.0188			0.947977			0.473988	−	0.880531i	$-0.342814\pi$
$251$	15.0188			0.947977			0.473988	+	0.880531i	$0.342814\pi$
$252$	−15.1769	−	4.65425i	−0.956054	−	0.293190i
$253$	1.93703			0.121780
$254$	−10.3643	−	4.55384i	−0.650317	−	0.285733i
$255$	9.10957	−	15.7140i	0.570463	−	0.984049i
$256$	−15.7686	−	2.71126i	−0.985538	−	0.169454i
$257$		−	23.8980i		−	1.49072i	−0.666664	−	0.745358i	$-0.732279\pi$
$257$		−	23.8980i		−	1.49072i	0.666664	−	0.745358i	$-0.267721\pi$
$258$	0.257644	+	2.37970i	0.0160402	+	0.148154i
$259$	−8.94088	−	5.03945i	−0.555559	−	0.313136i
$260$	−27.1582	+	6.05117i	−1.68428	+	0.375278i
$261$	2.67729	+	4.67531i	0.165720	+	0.289394i
$262$	−2.31401	+	5.26659i	−0.142960	+	0.325371i
$263$			4.98678i			0.307498i	0.988110	+	0.153749i	$0.0491347\pi$
$263$			4.98678i			0.307498i	−0.988110	+	0.153749i	$0.950865\pi$
$264$	3.53773	+	10.4277i	0.217733	+	0.641781i
$265$	−5.34703	−	3.08711i	−0.328466	−	0.189640i
$266$	−19.6657	+	14.7510i	−1.20578	+	0.904442i
$267$	−22.7386	+	13.0746i	−1.39158	+	0.800152i
$268$	−22.4703	−	7.05858i	−1.37259	−	0.431172i
$269$	6.44486	+	3.72094i	0.392950	+	0.226870i	0.683438	−	0.730009i	$-0.260484\pi$
$269$	6.44486	+	3.72094i	0.392950	+	0.226870i	−0.290487	+	0.956879i	$0.593817\pi$
$270$	−20.8720	−	9.30307i	−1.27023	−	0.566167i
$271$	1.27225	+	2.20361i	0.0772839	+	0.133860i	0.902077	−	0.431575i	$-0.142042\pi$
$271$	1.27225	+	2.20361i	0.0772839	+	0.133860i	−0.824793	+	0.565434i	$0.808709\pi$
$272$	7.71348	−	11.0661i	0.467699	−	0.670979i
$273$	−20.5007	+	0.175783i	−1.24076	+	0.0106389i
$274$	8.58040	−	19.5286i	0.518361	−	1.17977i
$275$		−	10.4972i		−	0.633004i
$276$	−2.20241	+	2.01528i	−0.132569	+	0.121306i
$277$	11.9078			0.715469			0.357735	−	0.933823i	$-0.383549\pi$
$277$	11.9078			0.715469			0.357735	+	0.933823i	$0.383549\pi$
$278$	−6.79866	−	9.26186i	−0.407756	−	0.555489i
$279$	−9.65374	−	16.8582i	−0.577954	−	1.00927i
$280$	17.6778	+	15.1335i	1.05645	+	0.904401i
$281$	1.85332	+	3.21004i	0.110560	+	0.191495i	0.915996	−	0.401187i	$-0.131402\pi$
$281$	1.85332	+	3.21004i	0.110560	+	0.191495i	−0.805436	+	0.592682i	$0.798069\pi$
$282$	16.6106	+	22.7128i	0.989146	+	1.35253i
$283$	7.43684	+	12.8810i	0.442075	+	0.765696i	0.997843	−	0.0656414i	$-0.0209093\pi$
$283$	7.43684	+	12.8810i	0.442075	+	0.765696i	−0.555769	+	0.831337i	$0.687576\pi$
$284$	−5.23802	+	4.81002i	−0.310819	+	0.285422i
$285$	−30.6778	+	17.6396i	−1.81720	+	1.04488i
$286$	8.41513	+	11.4640i	0.497597	+	0.677880i
$287$	−3.24528	+	0.0335656i	−0.191563	+	0.00198132i
$288$	−14.8714	−	8.17567i	−0.876305	−	0.481756i
$289$	−2.81389	−	4.87380i	−0.165523	−	0.286694i
$290$	−0.863990	−	7.85042i	−0.0507352	−	0.460993i
$291$	4.97027	−	2.85788i	0.291362	−	0.167532i
$292$	−1.95748	−	8.78536i	−0.114553	−	0.514124i
$293$	4.33341	+	2.50189i	0.253160	+	0.146162i	0.621210	−	0.783644i	$-0.286641\pi$
$293$	4.33341	+	2.50189i	0.253160	+	0.146162i	−0.368050	+	0.929806i	$0.619975\pi$
$294$	10.4058	+	13.6279i	0.606881	+	0.794792i
$295$	16.6384	−	9.60618i	0.968725	−	0.559294i
$296$	−8.26067	−	7.22111i	−0.480142	−	0.419719i
$297$	−0.0619566	+	11.6793i	−0.00359509	+	0.677700i
$298$	10.4446	−	23.7714i	0.605037	−	1.37704i
$299$	−1.92771	+	3.33889i	−0.111482	+	0.193093i
$300$	10.9213	+	11.9353i	0.630540	+	0.689086i
$301$	1.26947	−	2.25227i	0.0731711	−	0.129818i
$302$	18.4070	+	8.08758i	1.05920	+	0.465388i
$303$	−0.0347647	+	19.6603i	−0.00199718	+	1.12946i
$304$	−23.7945	+	11.1573i	−1.36471	+	0.639916i
$305$	20.5053	−	35.5162i	1.17413	−	2.03365i
$306$	11.5634	−	8.42537i	0.661038	−	0.481646i
$307$	−21.7954			−1.24393			−0.621963	−	0.783046i	$-0.713665\pi$
$307$	−21.7954			−1.24393			−0.621963	+	0.783046i	$0.713665\pi$
$308$	3.44690	−	11.3833i	0.196405	−	0.648626i
$309$	−25.8009	−	0.0456228i	−1.46776	−	0.00259539i
$310$	3.11536	+	28.3070i	0.176941	+	1.60773i
$311$	−1.21827	−	2.11010i	−0.0690816	−	0.119653i	0.829416	−	0.558632i	$-0.188674\pi$
$311$	−1.21827	−	2.11010i	−0.0690816	−	0.119653i	−0.898497	+	0.438979i	$0.855340\pi$
$312$	−21.4951	−	4.27948i	−1.21692	−	0.242278i
$313$	0.275249	+	0.158915i	0.0155580	+	0.00898241i	0.507759	−	0.861499i	$-0.330474\pi$
$313$	0.275249	+	0.158915i	0.0155580	+	0.00898241i	−0.492201	+	0.870482i	$0.663807\pi$
$314$	−1.30016	−	11.8136i	−0.0733724	−	0.666680i
$315$	12.4864	+	21.2911i	0.703529	+	1.19962i
$316$	−4.88999	−	21.9468i	−0.275084	−	1.23460i
$317$	17.3124	−	29.9859i	0.972360	−	1.68418i	0.283973	−	0.958832i	$-0.408347\pi$
$317$	17.3124	−	29.9859i	0.972360	−	1.68418i	0.688387	−	0.725344i	$-0.258319\pi$
$318$	−2.87093	−	3.92562i	−0.160994	−	0.220138i
$319$	−3.49580	+	2.01830i	−0.195727	+	0.113003i
$320$	15.2074	+	19.6882i	0.850121	+	1.10060i
$321$	−12.5638	+	7.22414i	−0.701245	+	0.403212i
$322$	3.20131	−	0.385875i	0.178402	−	0.0215040i
$323$		−	22.1563i		−	1.23281i
$324$	−12.0807	−	13.3438i	−0.671148	−	0.741323i
$325$	18.0942	+	10.4467i	1.00368	+	0.579478i
$326$	3.39490	+	30.8469i	0.188026	+	1.70845i
$327$	2.44747	−	4.22188i	0.135345	−	0.233470i
$328$	−3.40395	−	0.671439i	−0.187952	−	0.0370740i
$329$	−0.314337	−	30.3916i	−0.0173300	−	1.67554i
$330$	6.91485	−	15.6626i	0.380650	−	0.862200i
$331$	−2.57374	−	1.48595i	−0.141465	−	0.0816751i	0.427597	−	0.903970i	$-0.359360\pi$
$331$	−2.57374	−	1.48595i	−0.141465	−	0.0816751i	−0.569062	+	0.822294i	$0.692694\pi$
$332$	1.77732	−	5.65792i	0.0975429	−	0.310519i
$333$	−5.78306	−	10.0989i	−0.316910	−	0.553415i
$334$	−3.16942	−	4.31773i	−0.173423	−	0.236256i
$335$	18.3106	+	31.7148i	1.00041	+	1.73277i
$336$	7.92408	+	16.5290i	0.432294	+	0.901733i
$337$	−16.0847	+	27.8595i	−0.876190	+	1.51760i	−0.0206995	+	0.999786i	$0.506589\pi$
$337$	−16.0847	+	27.8595i	−0.876190	+	1.51760i	−0.855490	+	0.517819i	$0.826744\pi$
$338$	−9.86087	+	1.08525i	−0.536361	+	0.0590299i
$339$	0.278813	−	0.480953i	0.0151431	−	0.0261218i
$340$	−20.4714	+	4.56128i	−1.11022	+	0.247370i
$341$	12.6051	−	7.27756i	0.682604	−	0.394102i
$342$	−27.7180	+	2.95137i	−1.49882	+	0.159592i
$343$	−0.574547	−	18.5113i	−0.0310226	−	0.999519i
$344$	1.81905	−	2.08092i	0.0980764	−	0.112196i
$345$	4.64166	+	0.00820767i	0.249898	+	0.000441886i
$346$	3.22776	−	2.36933i	0.173525	−	0.127376i
$347$	9.48779	−	5.47778i	0.509331	−	0.294063i	−0.223227	−	0.974766i	$-0.571659\pi$
$347$	9.48779	−	5.47778i	0.509331	−	0.294063i	0.732559	+	0.680704i	$0.238326\pi$
$348$	1.87489	−	5.93183i	0.100505	−	0.317980i
$349$	−3.99503	+	2.30653i	−0.213849	+	0.123466i	−0.603099	−	0.797666i	$-0.706068\pi$
$349$	−3.99503	+	2.30653i	−0.213849	+	0.123466i	0.389250	+	0.921132i	$0.372734\pi$
$350$	−2.09114	−	17.3486i	−0.111776	−	0.927322i
$351$	−20.0701	−	11.7299i	−1.07126	−	0.626095i
$352$	6.08607	−	11.1638i	0.324388	−	0.595032i
$353$		−	6.32901i		−	0.336859i	−0.985714	−	0.168430i	$-0.946130\pi$
$353$		−	6.32901i		−	0.336859i	0.985714	−	0.168430i	$-0.0538696\pi$
$354$	15.0456	−	1.62894i	0.799663	−	0.0865772i
$355$	11.0572			0.586858
$356$	28.8952	+	9.07681i	1.53144	+	0.481070i
$357$	−15.4531	+	0.132503i	−0.817866	+	0.00701278i
$358$	−10.9349	+	8.02674i	−0.577927	+	0.424226i
$359$	−5.17029	+	2.98507i	−0.272878	+	0.157546i	−0.630195	−	0.776437i	$-0.717025\pi$
$359$	−5.17029	+	2.98507i	−0.272878	+	0.157546i	0.357317	+	0.933983i	$0.383692\pi$
$360$	8.43321	+	25.0027i	0.444469	+	1.31776i
$361$	−12.0833	+	20.9289i	−0.635964	+	1.10152i
$362$	−9.16070	−	4.02498i	−0.481475	−	0.211548i
$363$	10.3019	+	0.0182164i	0.540709	+	0.000956116i
$364$	16.1913	+	17.2700i	0.848657	+	0.905197i
$365$	−6.99742	+	12.1199i	−0.366262	+	0.634384i
$366$	26.0749	−	19.0694i	1.36295	−	0.996771i
$367$	5.23126			0.273069			0.136535	−	0.990635i	$-0.456403\pi$
$367$	5.23126			0.273069			0.136535	+	0.990635i	$0.456403\pi$
$368$	3.43463	+	0.293125i	0.179043	+	0.0152802i
$369$	−3.18045	−	1.85126i	−0.165567	−	0.0963727i
$370$	1.86626	+	16.9573i	0.0970220	+	0.881566i
$371$	0.0543292	+	5.25280i	0.00282063	+	0.272712i
$372$	−6.76046	+	21.3889i	−0.350513	+	1.10896i
$373$	11.5732			0.599235			0.299618	−	0.954059i	$-0.403141\pi$
$373$	11.5732			0.599235			0.299618	+	0.954059i	$0.403141\pi$
$374$	6.34319	+	8.64137i	0.327999	+	0.446835i
$375$	−0.00314132	+	1.77650i	−0.000162217	+	0.0917381i
$376$	6.28793	−	31.8774i	0.324275	−	1.64395i
$377$		−	8.03435i		−	0.413790i
$378$	2.22423	+	19.3146i	0.114402	+	0.993435i
$379$			7.65108i			0.393009i	0.980503	+	0.196505i	$0.0629591\pi$
$379$			7.65108i			0.393009i	−0.980503	+	0.196505i	$0.937041\pi$
$380$	38.9840	+	12.2460i	1.99984	+	0.628206i
$381$	−0.0245168	+	13.8649i	−0.00125603	+	0.710319i
$382$	20.3722	−	14.9542i	1.04233	−	0.765121i
$383$	9.39848			0.480240			0.240120	−	0.970743i	$-0.422813\pi$
$383$	9.39848			0.480240			0.240120	+	0.970743i	$0.422813\pi$
$384$	4.69492	+	19.0252i	0.239587	+	0.970875i
$385$	−15.9189	+	9.41162i	−0.811301	+	0.479660i
$386$	−18.8287	+	2.07222i	−0.958355	+	0.105473i
$387$	2.54397	−	1.45679i	0.129317	−	0.0740529i
$388$	−6.31598	−	1.98403i	−0.320645	−	0.100724i
$389$	−11.5594			−0.586087			−0.293043	−	0.956099i	$-0.594668\pi$
$389$	−11.5594			−0.586087			−0.293043	+	0.956099i	$0.594668\pi$
$390$	20.1164	+	27.5065i	1.01863	+	1.39285i
$391$	−1.45308	+	2.51680i	−0.0734853	+	0.127280i
$392$	3.42899	−	19.4998i	0.173190	−	0.984888i
$393$	7.04537	+	0.0124581i	0.355392	+	0.000628427i
$394$	−4.34474	+	9.88843i	−0.218885	+	0.498172i
$395$	−17.4803	+	30.2768i	−0.879529	+	1.52339i
$396$	9.96560	−	9.08657i	0.500790	−	0.456617i
$397$	24.9433	−	14.4010i	1.25187	−	0.722765i	0.280386	−	0.959887i	$-0.409538\pi$
$397$	24.9433	−	14.4010i	1.25187	−	0.722765i	0.971480	+	0.237122i	$0.0762042\pi$
$398$	−20.1155	−	27.4034i	−1.00830	−	1.37361i
$399$	26.2025	+	14.8299i	1.31177	+	0.742426i
$400$	1.58851	−	18.6130i	0.0794254	−	0.930651i
$401$	−2.28233			−0.113974			−0.0569871	−	0.998375i	$-0.518149\pi$
$401$	−2.28233			−0.113974			−0.0569871	+	0.998375i	$0.518149\pi$
$402$	3.10496	+	28.6787i	0.154861	+	1.43036i
$403$			28.9702i			1.44311i
$404$	16.7212	−	15.3549i	0.831912	−	0.763937i
$405$	−0.197953	+	27.9865i	−0.00983637	+	1.39066i
$406$	−5.37541	+	4.03202i	−0.266777	+	0.200106i
$407$	7.55107	−	4.35961i	0.374293	−	0.216098i
$408$	−16.2027	−	3.22581i	−0.802153	−	0.159701i
$409$	−22.1462	+	12.7861i	−1.09506	+	0.632233i	−0.934919	−	0.354862i	$-0.884528\pi$
$409$	−22.1462	+	12.7861i	−1.09506	+	0.632233i	−0.160140	+	0.987094i	$0.551195\pi$
$410$	3.19219	+	4.34874i	0.157651	+	0.214769i
$411$	−26.1244	−	0.0461948i	−1.28862	−	0.00227862i
$412$	20.1508	+	21.9438i	0.992760	+	1.08109i
$413$	−14.2399	−	8.02618i	−0.700698	−	0.394942i
$414$	3.34214	+	1.48258i	0.164257	+	0.0728647i
$415$	−7.98563	+	4.61051i	−0.391999	+	0.226321i
$416$	13.1864	+	21.6007i	0.646517	+	1.05906i
$417$	−7.05726	+	12.1738i	−0.345596	+	0.596152i
$418$	−2.28471	−	20.7594i	−0.111749	−	1.01538i
$419$	−8.09827	+	14.0266i	−0.395626	+	0.685245i	−0.993181	−	0.116584i	$-0.962806\pi$
$419$	−8.09827	+	14.0266i	−0.395626	+	0.685245i	0.597555	+	0.801828i	$0.296139\pi$
$420$	8.30796	−	27.2630i	0.405387	−	1.33030i
$421$	7.05042	+	12.2117i	0.343616	+	0.595161i	0.985101	−	0.171975i	$-0.0550147\pi$
$421$	7.05042	+	12.2117i	0.343616	+	0.595161i	−0.641485	+	0.767135i	$0.721681\pi$
$422$	10.6186	−	7.79456i	0.516905	−	0.379433i
$423$	17.3368	−	29.7844i	0.842942	−	1.44817i
$424$	−1.08679	+	5.50962i	−0.0527791	+	0.267571i
$425$	13.6391	+	7.87455i	0.661594	+	0.381972i
$426$	7.96779	+	3.51767i	0.386041	+	0.170432i
$427$	−34.8903	+	0.360867i	−1.68846	+	0.0174636i
$428$	15.9655	+	5.01523i	0.771723	+	0.242421i
$429$	8.73522	−	15.0682i	0.421740	−	0.727502i
$430$	−4.27165	+	0.470122i	−0.205997	+	0.0226713i
$431$	−34.1956	−	19.7428i	−1.64714	−	0.950978i	−0.978200	−	0.207664i	$-0.933414\pi$
$431$	−34.1956	−	19.7428i	−1.64714	−	0.950978i	−0.668942	−	0.743314i	$-0.733253\pi$
$432$	−1.87725	+	20.6997i	−0.0903192	+	0.995913i
$433$			9.21684i			0.442933i	0.975168	+	0.221466i	$0.0710843\pi$
$433$			9.21684i			0.442933i	−0.975168	+	0.221466i	$0.928916\pi$
$434$	19.3826	−	14.5386i	0.930393	−	0.697876i
$435$	−8.38545	+	4.82159i	−0.402051	+	0.231178i
$436$	−5.50006	+	1.22548i	−0.263405	+	0.0586898i
$437$	4.90344	−	2.83100i	0.234563	−	0.135425i
$438$	−8.89803	+	6.50741i	−0.425164	+	0.310936i
$439$	0.0382133	−	0.0661874i	0.00182382	−	0.00315895i	−0.865112	−	0.501579i	$-0.832753\pi$
$439$	0.0382133	−	0.0661874i	0.00182382	−	0.00315895i	0.866936	+	0.498420i	$0.166086\pi$
$440$	−18.7104	+	6.38467i	−0.891985	+	0.304377i
$441$	10.1866	−	18.3639i	0.485076	−	0.874472i
$442$	−21.2080	+	2.33407i	−1.00876	+	0.111020i
$443$	28.4050	+	16.3997i	1.34956	+	0.779171i	0.988188	−	0.153249i	$-0.0489737\pi$
$443$	28.4050	+	16.3997i	1.34956	+	0.779171i	0.361376	+	0.932420i	$0.382307\pi$
$444$	−4.04985	+	12.8130i	−0.192197	+	0.608079i
$445$	−23.5460	−	40.7829i	−1.11619	−	1.93329i
$446$	−12.2809	+	1.35159i	−0.581516	+	0.0639996i
$447$	−31.8001	−	0.0562310i	−1.50409	−	0.00265964i
$448$	7.83446	−	19.6627i	0.370143	−	0.928975i
$449$	−4.56654			−0.215508			−0.107754	−	0.994178i	$-0.534366\pi$
$449$	−4.56654			−0.215508			−0.107754	+	0.994178i	$0.534366\pi$
$450$	8.03442	−	18.1118i	0.378746	−	0.853798i
$451$	1.37859	−	2.38780i	0.0649155	−	0.112437i
$452$	−0.626562	+	0.139605i	−0.0294710	+	0.00656648i
$453$	0.0435416	−	24.6239i	0.00204576	−	1.15693i
$454$	12.3916	−	28.2027i	0.581565	−	1.32362i
$455$	−0.380681	−	36.8060i	−0.0178466	−	1.72549i
$456$	24.1958	+	21.2265i	1.13307	+	0.994021i
$457$	−6.35230	+	11.0025i	−0.297148	+	0.514676i	−0.975482	−	0.220078i	$-0.929369\pi$
$457$	−6.35230	+	11.0025i	−0.297148	+	0.514676i	0.678334	+	0.734754i	$0.262702\pi$
$458$	−11.0057	−	4.83565i	−0.514264	−	0.225955i
$459$	−15.1285	−	8.84180i	−0.706140	−	0.412700i
$460$	−3.62519	−	3.94775i	−0.169025	−	0.184065i
$461$	5.25347	−	3.03309i	0.244679	−	0.141265i	−0.372647	−	0.927973i	$-0.621550\pi$
$461$	5.25347	−	3.03309i	0.244679	−	0.141265i	0.617325	+	0.786708i	$0.288216\pi$
$462$	−14.4652	+	1.71764i	−0.672982	+	0.0799119i
$463$	22.5045	+	12.9930i	1.04587	+	0.603835i	0.921491	−	0.388399i	$-0.126972\pi$
$463$	22.5045	+	12.9930i	1.04587	+	0.603835i	0.124382	+	0.992234i	$0.460305\pi$
$464$	−6.50397	+	3.04973i	−0.301939	+	0.141580i
$465$	30.2361	−	17.3856i	1.40217	−	0.806239i
$466$	−25.6890	+	2.82724i	−1.19002	+	0.130969i
$467$	−5.64144	−	9.77126i	−0.261055	−	0.452160i	0.705468	−	0.708742i	$-0.250737\pi$
$467$	−5.64144	−	9.77126i	−0.261055	−	0.452160i	−0.966522	+	0.256582i	$0.917404\pi$
$468$	5.74503	+	26.2207i	0.265564	+	1.21205i
$469$	15.2989	−	27.1429i	0.706437	−	1.25334i
$470$	−40.7253	+	29.8944i	−1.87852	+	1.37892i
$471$	−12.6187	+	7.25570i	−0.581440	+	0.334325i
$472$	−13.1565	−	11.5009i	−0.605578	−	0.529370i
$473$	1.09822	+	1.90217i	0.0504960	+	0.0874617i
$474$	−22.2282	+	16.2562i	−1.02098	+	0.746672i
$475$	−15.3418	−	26.5728i	−0.703931	−	1.21924i
$476$	12.2048	+	13.0179i	0.559405	+	0.596674i
$477$	−2.99644	+	5.14786i	−0.137198	+	0.235704i
$478$	−24.8408	+	18.2344i	−1.13619	+	0.834021i
$479$	−15.8884			−0.725958			−0.362979	−	0.931797i	$-0.618240\pi$
$479$	−15.8884			−0.725958			−0.362979	+	0.931797i	$0.618240\pi$
$480$	14.6312	−	26.7257i	0.667820	−	1.21986i
$481$			17.3546i			0.791300i
$482$	6.28038	+	2.75945i	0.286064	+	0.125689i
$483$	−2.00384	−	3.40302i	−0.0911777	−	0.154843i
$484$	−8.04589	−	8.76180i	−0.365722	−	0.398264i
$485$	5.14675	+	8.91443i	0.233702	+	0.404784i
$486$	−9.04607	+	20.1039i	−0.410338	+	0.911933i
$487$	−4.87135	−	2.81247i	−0.220742	−	0.127445i	0.385552	−	0.922686i	$-0.374011\pi$
$487$	−4.87135	−	2.81247i	−0.220742	−	0.127445i	−0.606294	+	0.795241i	$0.707344\pi$
$488$	−36.5961	−	7.21869i	−1.65663	−	0.326775i
$489$	32.9492	−	18.9456i	1.49001	−	0.856751i
$490$	−24.4341	+	18.7257i	−1.10382	+	0.845940i
$491$	−8.97587	−	5.18222i	−0.405075	−	0.233870i	0.283596	−	0.958944i	$-0.408472\pi$
$491$	−8.97587	−	5.18222i	−0.405075	−	0.233870i	−0.688672	+	0.725073i	$0.741806\pi$
$492$	0.916796	+	4.14922i	0.0413324	+	0.187061i
$493$		−	6.05617i		−	0.272756i
$494$	38.0570	+	16.7213i	1.71227	+	0.752328i
$495$	−20.9689	−	0.0741573i	−0.942482	−	0.00333312i
$496$	23.4519	−	10.9967i	1.05302	−	0.493765i
$497$	−4.78781	−	8.09814i	−0.214763	−	0.363251i
$498$	−7.22116	+	0.781814i	−0.323588	+	0.0350339i
$499$		−	11.5415i		−	0.516667i	−0.966056	−	0.258334i	$-0.916827\pi$
$499$		−	11.5415i		−	0.516667i	0.966056	−	0.258334i	$-0.0831734\pi$
$500$	1.51092	−	1.38747i	0.0675705	−	0.0620494i
$501$	−3.28998	+	5.67521i	−0.146985	+	0.253550i
$502$	−8.54390	+	19.4455i	−0.381333	+	0.867897i
$503$	11.7098			0.522114			0.261057	−	0.965323i	$-0.415929\pi$
$503$	11.7098			0.522114			0.261057	+	0.965323i	$0.415929\pi$
$504$	14.6599	−	17.0025i	0.653005	−	0.757353i
$505$	−35.2978			−1.57073
$506$	−1.10194	+	2.50797i	−0.0489871	+	0.111493i
$507$	6.05637	+	10.5329i	0.268973	+	0.467783i
$508$	11.7921	−	10.8286i	0.523192	−	0.480443i
$509$			27.9926i			1.24075i	0.784305	+	0.620376i	$0.213020\pi$
$509$			27.9926i			1.24075i	−0.784305	+	0.620376i	$0.786980\pi$
$510$	15.1634	+	20.7340i	0.671448	+	0.918117i
$511$	11.9063	−	0.123146i	0.526703	−	0.00544764i
$512$	12.4809	−	18.8740i	0.551581	−	0.834121i
$513$	16.9126	+	29.6557i	0.746711	+	1.30933i
$514$	30.9419	+	13.5951i	1.36479	+	0.599655i
$515$		−	46.3226i		−	2.04122i
$516$	−3.22769	−	1.02018i	−0.142091	−	0.0449111i
$517$	22.3613	+	12.9103i	0.983451	+	0.567796i
$518$	11.6111	−	8.70934i	0.510163	−	0.382667i
$519$	−4.24256	−	2.45945i	−0.186228	−	0.107958i
$520$	7.61505	−	38.6055i	0.333942	−	1.69296i
$521$	−11.9117	−	6.87723i	−0.521862	−	0.301297i	0.215834	−	0.976430i	$-0.430753\pi$
$521$	−11.9117	−	6.87723i	−0.521862	−	0.301297i	−0.737696	+	0.675133i	$0.764086\pi$
$522$	−7.57641	+	0.806725i	−0.331610	+	0.0353094i
$523$	−5.47135	−	9.47665i	−0.239245	−	0.414385i	0.721253	−	0.692672i	$-0.243567\pi$
$523$	−5.47135	−	9.47665i	−0.239245	−	0.414385i	−0.960498	+	0.278287i	$0.910233\pi$
$524$	−5.50252	−	5.99213i	−0.240379	−	0.261767i
$525$	−18.4417	+	10.8592i	−0.804863	+	0.473936i
$526$	−6.45663	−	2.83688i	−0.281522	−	0.123694i
$527$			21.8373i			0.951246i
$528$	−15.5138	−	1.35165i	−0.675152	−	0.0588228i
$529$	22.2573			0.967710
$530$	7.03886	−	5.16687i	0.305748	−	0.224434i
$531$	−9.21051	−	16.0842i	−0.399702	−	0.697994i
$532$	−7.91139	−	33.8537i	−0.343002	−	1.46775i
$533$	2.74392	+	4.75262i	0.118853	+	0.205859i
$534$	−3.99275	−	36.8787i	−0.172783	−	1.59590i
$535$	−13.0099	−	22.5339i	−0.562469	−	0.974225i
$536$	21.9220	−	25.0780i	0.946888	−	1.08320i
$537$	14.3728	+	8.33206i	0.620232	+	0.359555i
$538$	−8.48405	+	6.22771i	−0.365773	+	0.268496i
$539$	13.7858	+	7.58346i	0.593797	+	0.326643i
$540$	23.9188	−	21.7317i	1.02930	−	0.935184i
$541$	0.448496	+	0.776818i	0.0192824	+	0.0333980i	0.875506	−	0.483208i	$-0.160529\pi$
$541$	0.448496	+	0.776818i	0.0192824	+	0.0333980i	−0.856223	+	0.516606i	$0.827195\pi$
$542$	−3.57688	+	0.393659i	−0.153640	+	0.0169091i
$543$	−0.0216696	+	12.2547i	−0.000929929	+	0.525900i
$544$	9.93972	+	16.2823i	0.426162	+	0.698098i
$545$	7.58764	+	4.38072i	0.325019	+	0.187650i
$546$	11.4349	−	26.6433i	0.489367	−	1.14023i
$547$	−28.3909	+	16.3915i	−1.21391	+	0.700849i	−0.963608	−	0.267320i	$-0.913862\pi$
$547$	−28.3909	+	16.3915i	−1.21391	+	0.700849i	−0.250298	+	0.968169i	$0.580529\pi$
$548$	20.4034	+	22.2189i	0.871592	+	0.949145i
$549$	−34.1932	−	19.9030i	−1.45933	−	0.849441i
$550$	13.5912	+	5.97165i	0.579532	+	0.254632i
$551$	−5.89956	+	10.2183i	−0.251330	+	0.435316i
$552$	−1.35638	−	3.99802i	−0.0577313	−	0.170167i
$553$	29.7432	−	0.307631i	1.26481	−	0.0130818i
$554$	−6.77411	+	15.4176i	−0.287804	+	0.655030i
$555$	18.1129	−	10.4148i	0.768851	−	0.442086i
$556$	15.8594	−	3.53366i	0.672589	−	0.149861i
$557$	−3.85227	+	6.67232i	−0.163226	+	0.282715i	−0.936024	−	0.351937i	$-0.885523\pi$
$557$	−3.85227	+	6.67232i	−0.163226	+	0.282715i	0.772798	+	0.634652i	$0.218857\pi$
$558$	27.3189	−	2.90888i	1.15650	−	0.123143i
$559$	−4.37173			−0.184904
$560$	−29.6507	+	14.2792i	−1.25297	+	0.603406i
$561$	6.58447	−	11.3582i	0.277996	−	0.479544i
$562$	−5.21051	+	0.573450i	−0.219792	+	0.0241895i
$563$	−13.0712	−	22.6399i	−0.550883	−	0.954158i	−0.998211	−	0.0597880i	$-0.980958\pi$
$563$	−13.0712	−	22.6399i	−0.550883	−	0.954158i	0.447328	−	0.894370i	$-0.352376\pi$
$564$	−38.8568	+	8.58566i	−1.63617	+	0.361521i
$565$	0.864377	+	0.499048i	0.0363646	+	0.0209951i
$566$	−20.9083	+	2.30110i	−0.878843	+	0.0967223i
$567$	20.5826	−	11.9732i	0.864386	−	0.502829i
$568$	−3.24797	−	9.51825i	−0.136282	−	0.399377i
$569$	−17.4467	+	30.2185i	−0.731402	+	1.26683i	0.224882	+	0.974386i	$0.427800\pi$
$569$	−17.4467	+	30.2185i	−0.731402	+	1.26683i	−0.956284	+	0.292439i	$0.905533\pi$
$570$	−5.38682	−	49.7549i	−0.225629	−	2.08401i
$571$	1.08102	−	0.624125i	0.0452391	−	0.0261188i	−0.477210	−	0.878789i	$-0.658352\pi$
$571$	1.08102	−	0.624125i	0.0452391	−	0.0261188i	0.522449	+	0.852671i	$0.325019\pi$
$572$	−19.6302	+	4.37383i	−0.820779	+	0.182879i
$573$	−26.7771	−	15.5230i	−1.11863	−	0.648482i
$574$	1.80272	−	4.22092i	0.0752440	−	0.176178i
$575$			4.02466i			0.167840i
$576$	19.0455	−	14.6037i	0.793562	−	0.608489i
$577$	−17.3046	−	9.99080i	−0.720399	−	0.415923i	0.0945005	−	0.995525i	$-0.469875\pi$
$577$	−17.3046	−	9.99080i	−0.720399	−	0.415923i	−0.814900	+	0.579602i	$0.803208\pi$
$578$	7.91111	−	0.870669i	0.329059	−	0.0362151i
$579$	11.5642	+	20.1119i	0.480593	+	0.835822i
$580$	10.6558	+	3.34731i	0.442459	+	0.138989i
$581$	6.83445	+	3.85218i	0.283541	+	0.159815i
$582$	0.872745	+	8.06104i	0.0361765	+	0.334141i
$583$	−3.86488	−	2.23139i	−0.160067	−	0.0924146i
$584$	12.4884	+	2.46338i	0.516774	+	0.101935i
$585$	20.9958	−	36.0707i	0.868071	−	1.49134i
$586$	−5.70451	+	4.18739i	−0.235651	+	0.172980i
$587$	12.2337	+	21.1895i	0.504940	+	0.874582i	0.999984	+	0.00571398i	$0.00181883\pi$
$587$	12.2337	+	21.1895i	0.504940	+	0.874582i	−0.495043	+	0.868868i	$0.664848\pi$
$588$	−23.5643	+	5.72034i	−0.971777	+	0.235903i
$589$	21.2725	−	36.8451i	0.876520	−	1.51818i
$590$	2.97233	+	27.0073i	0.122369	+	1.11187i
$591$	13.2282	+	0.0233910i	0.544137	+	0.000962178i
$592$	14.0489	−	6.58754i	0.577405	−	0.270746i
$593$	34.1540	−	19.7188i	1.40254	−	0.809755i	0.407885	−	0.913033i	$-0.366266\pi$
$593$	34.1540	−	19.7188i	1.40254	−	0.809755i	0.994653	+	0.103278i	$0.0329331\pi$
$594$	−15.0865	−	6.72433i	−0.619006	−	0.275903i
$595$	−0.286951	−	27.7438i	−0.0117639	−	1.13738i
$596$	24.8363	+	27.0462i	1.01733	+	1.10785i
$597$	−20.8806	+	36.0190i	−0.854586	+	1.47416i
$598$	−3.22639	−	4.39533i	−0.131937	−	0.179738i
$599$	19.6734	−	11.3585i	0.803834	−	0.464094i	−0.0409761	−	0.999160i	$-0.513047\pi$
$599$	19.6734	−	11.3585i	0.803834	−	0.464094i	0.844810	+	0.535066i	$0.179713\pi$
$600$	−21.6661	+	7.35052i	−0.884517	+	0.300084i
$601$	4.60939	−	2.66123i	0.188021	−	0.108554i	−0.403035	−	0.915185i	$-0.632045\pi$
$601$	4.60939	−	2.66123i	0.188021	−	0.108554i	0.591056	+	0.806631i	$0.298711\pi$
$602$	2.19394	+	2.92492i	0.0894184	+	0.119211i
$603$	30.6584	−	17.5564i	1.24851	−	0.714951i
$604$	−20.9428	+	19.2316i	−0.852149	+	0.782521i
$605$			18.4958i			0.751962i
$606$	−25.4354	−	11.2294i	−1.03324	−	0.456163i
$607$	24.9054			1.01088			0.505440	−	0.862862i	$-0.331330\pi$
$607$	24.9054			1.01088			0.505440	+	0.862862i	$0.331330\pi$
$608$	−0.909653	−	37.1551i	−0.0368913	−	1.50684i
$609$	7.16217	+	4.05360i	0.290226	+	0.164260i
$610$	34.3195	+	46.7537i	1.38956	+	1.89300i
$611$	−44.5075	+	25.6964i	−1.80058	+	1.03957i
$612$	4.33051	+	19.7648i	0.175051	+	0.798944i
$613$	−12.0689	+	20.9039i	−0.487457	+	0.844300i	−0.999896	−	0.0144232i	$-0.995409\pi$
$613$	−12.0689	+	20.9039i	−0.487457	+	0.844300i	0.512439	+	0.858724i	$0.328742\pi$
$614$	12.3990	−	28.2195i	0.500381	−	1.13885i
$615$	3.31361	−	5.71598i	0.133618	−	0.230490i
$616$	12.7777	+	10.9386i	0.514828	+	0.440730i
$617$	12.0546	−	20.8792i	0.485301	−	0.840567i	−0.514556	−	0.857457i	$-0.672043\pi$
$617$	12.0546	−	20.8792i	0.485301	−	0.840567i	0.999857	+	0.0168900i	$0.00537652\pi$
$618$	14.7367	−	33.3798i	0.592798	−	1.34273i
$619$	35.5255			1.42789			0.713946	−	0.700201i	$-0.246906\pi$
$619$	35.5255			1.42789			0.713946	+	0.700201i	$0.246906\pi$
$620$	−38.4227	−	12.0697i	−1.54309	−	0.484730i
$621$	0.0237544	−	4.47787i	0.000953230	−	0.179691i
$622$	3.42510	−	0.376954i	0.137334	−	0.0151145i
$623$	−19.6732	+	34.9038i	−0.788191	+	1.39839i
$624$	17.7690	−	25.3963i	0.711330	−	1.01667i
$625$	−26.5404			−1.06161
$626$	−0.362339	+	0.265975i	−0.0144820	+	0.0106305i
$627$	−22.1742	+	12.7501i	−0.885552	+	0.509188i
$628$	16.0353	+	5.03714i	0.639877	+	0.201004i
$629$			13.0816i			0.521597i
$630$	−34.6699	+	4.05465i	−1.38128	+	0.161541i
$631$			29.1706i			1.16126i	0.814166	+	0.580632i	$0.197194\pi$
$631$			29.1706i			1.16126i	−0.814166	+	0.580632i	$0.802806\pi$
$632$	31.1974	+	6.15378i	1.24096	+	0.244784i
$633$	−13.9571	−	8.09105i	−0.554743	−	0.321590i
$634$	28.9755	+	39.4736i	1.15077	+	1.56770i
$635$	−24.8928			−0.987839
$636$	6.71591	−	1.48392i	0.266303	−	0.0588414i
$637$	−26.7912	+	16.2159i	−1.06151	+	0.642496i
$638$	−0.624499	−	5.67435i	−0.0247241	−	0.224650i
$639$	0.0377248	−	10.6672i	0.00149237	−	0.421986i
$640$	−34.1425	+	8.48955i	−1.34960	+	0.335579i
$641$	2.26382			0.0894154			0.0447077	−	0.999000i	$-0.485764\pi$
$641$	2.26382			0.0894154			0.0447077	+	0.999000i	$0.485764\pi$
$642$	−2.20612	−	20.3767i	−0.0870688	−	0.804203i
$643$	−5.41789	+	9.38406i	−0.213661	+	0.370071i	−0.952857	−	0.303418i	$-0.901872\pi$
$643$	−5.41789	+	9.38406i	−0.213661	+	0.370071i	0.739197	+	0.673489i	$0.235205\pi$
$644$	−1.32155	+	4.36441i	−0.0520765	+	0.171982i
$645$	2.62357	+	4.56277i	0.103303	+	0.179659i
$646$	28.6868	+	12.6043i	1.12867	+	0.495909i
$647$	11.2094	−	19.4153i	0.440687	−	0.763293i	−0.557053	−	0.830477i	$-0.688068\pi$
$647$	11.2094	−	19.4153i	0.440687	−	0.763293i	0.997741	+	0.0671839i	$0.0214014\pi$
$648$	24.1494	−	8.05038i	0.948676	−	0.316249i
$649$	12.0264	−	6.94343i	0.472076	−	0.272553i
$650$	−23.8193	+	17.4845i	−0.934268	+	0.685799i
$651$	−25.8252	−	14.6164i	−1.01217	−	0.572862i
$652$	−41.8703	−	13.1527i	−1.63977	−	0.515098i
$653$	−32.4279			−1.26900			−0.634502	−	0.772922i	$-0.718795\pi$
$653$	−32.4279			−1.26900			−0.634502	+	0.772922i	$0.718795\pi$
$654$	4.07396	+	5.57060i	0.159304	+	0.217828i
$655$			12.6491i			0.494243i
$656$	2.80579	−	4.02529i	0.109548	−	0.157161i
$657$	11.6684	+	6.79190i	0.455229	+	0.264977i
$658$	39.5283	+	16.8822i	1.54097	+	0.658136i
$659$	27.6786	−	15.9802i	1.07820	−	0.622502i	0.147793	−	0.989018i	$-0.452783\pi$
$659$	27.6786	−	15.9802i	1.07820	−	0.622502i	0.930411	+	0.366517i	$0.119450\pi$
$660$	16.3455	+	17.8632i	0.636246	+	0.695323i
$661$	10.3133	−	5.95436i	0.401139	−	0.231598i	−0.285836	−	0.958278i	$-0.592271\pi$
$661$	10.3133	−	5.95436i	0.401139	−	0.231598i	0.686975	+	0.726681i	$0.258938\pi$
$662$	3.38808	−	2.48702i	0.131681	−	0.0966606i
$663$	13.0255	+	22.6533i	0.505870	+	0.879782i
$664$	6.31450	+	5.51986i	0.245050	+	0.214212i
$665$	−26.5422	+	47.0905i	−1.02926	+	1.82609i
$666$	16.3654	−	1.74256i	0.634146	−	0.0675228i
$667$	1.34030	−	0.773823i	0.0518966	−	0.0299625i
$668$	7.39340	−	1.64734i	0.286059	−	0.0637373i
$669$	7.54269	+	13.1178i	0.291617	+	0.507165i
$670$	−51.4793	+	5.66563i	−1.98882	+	0.218882i
$671$	14.8214	−	25.6714i	0.572173	−	0.991033i
$672$	−25.9088	+	0.856648i	−0.999454	+	0.0330459i
$673$	−17.3361	−	30.0270i	−0.668257	−	1.15745i	−0.978391	−	0.206762i	$-0.933707\pi$
$673$	−17.3361	−	30.0270i	−0.668257	−	1.15745i	0.310134	−	0.950693i	$-0.399626\pi$
$674$	−26.9208	−	36.6744i	−1.03695	−	1.41265i
$675$	−24.2666	−	0.128730i	−0.934021	−	0.00495483i
$676$	4.20453	−	13.3847i	0.161713	−	0.514797i
$677$	−34.9235	−	20.1631i	−1.34222	−	0.774931i	−0.355088	−	0.934833i	$-0.615549\pi$
$677$	−34.9235	−	20.1631i	−1.34222	−	0.774931i	−0.987133	+	0.159902i	$0.948882\pi$
$678$	0.464102	+	0.634598i	0.0178237	+	0.0243716i
$679$	4.30022	−	7.62936i	0.165027	−	0.292788i
$680$	5.74010	−	29.1002i	0.220123	−	1.11594i
$681$	−37.7281	−	0.0667132i	−1.44574	−	0.00255646i
$682$	2.25181	+	20.4605i	0.0862262	+	0.783473i
$683$	−13.6413	−	7.87579i	−0.521968	−	0.301359i	0.215771	−	0.976444i	$-0.430773\pi$
$683$	−13.6413	−	7.87579i	−0.521968	−	0.301359i	−0.737740	+	0.675085i	$0.764107\pi$
$684$	11.9470	−	37.5669i	0.456804	−	1.43640i
$685$		−	46.9033i		−	1.79208i
$686$	24.2944	+	9.78686i	0.927564	+	0.373664i
$687$	−0.0260340	+	14.7229i	−0.000993258	+	0.561714i
$688$	1.65945	+	3.53900i	0.0632658	+	0.134923i
$689$	7.69256	−	4.44130i	0.293063	−	0.169200i
$690$	−2.65118	+	6.00511i	−0.100929	+	0.228611i
$691$	6.93542	−	12.0125i	0.263836	−	0.456977i	−0.703422	−	0.710772i	$-0.748346\pi$
$691$	6.93542	−	12.0125i	0.263836	−	0.456977i	0.967258	+	0.253795i	$0.0816790\pi$
$692$	1.23148	+	5.52700i	0.0468139	+	0.210105i
$693$	9.02527	+	15.3894i	0.342842	+	0.584594i
$694$	1.69493	+	15.4005i	0.0643385	+	0.584595i
$695$	−21.8789	−	12.6318i	−0.829915	−	0.479152i
$696$	6.61365	+	5.80202i	0.250690	+	0.219925i
$697$	2.06833	+	3.58245i	0.0783435	+	0.135695i
$698$	−0.713683	−	6.48470i	−0.0270133	−	0.245450i
$699$	15.7777	+	27.4397i	0.596768	+	1.03787i
$700$	23.6517	+	7.16179i	0.893950	+	0.270690i
$701$	−18.9982			−0.717551			−0.358776	−	0.933424i	$-0.616806\pi$
$701$	−18.9982			−0.717551			−0.358776	+	0.933424i	$0.616806\pi$
$702$	26.6047	−	19.3128i	1.00413	−	0.728917i
$703$	12.7433	−	22.0720i	0.480623	−	0.832463i
$704$	10.9920	+	14.2308i	0.414278	+	0.536343i
$705$	53.5293	+	31.0315i	2.01603	+	1.16871i
$706$	8.19448	+	3.60045i	0.308403	+	0.135505i
$707$	15.2840	+	25.8515i	0.574815	+	0.972247i
$708$	−6.45007	+	20.4069i	−0.242408	+	0.766939i
$709$	3.97737	−	6.88901i	0.149373	−	0.258722i	−0.781623	−	0.623751i	$-0.785608\pi$
$709$	3.97737	−	6.88901i	0.149373	−	0.258722i	0.930996	+	0.365029i	$0.118941\pi$
$710$	−6.29026	+	14.3164i	−0.236069	+	0.537283i
$711$	29.1490	+	16.9669i	1.09317	+	0.636308i
$712$	−28.1901	+	32.2484i	−1.05647	+	1.20856i
$713$	−4.83284	+	2.79024i	−0.180991	+	0.104495i
$714$	8.61943	−	20.0833i	0.322574	−	0.751598i
$715$	27.0809	+	15.6352i	1.01277	+	0.584722i
$716$	−4.17197	−	18.7242i	−0.155914	−	0.699756i
$717$	32.6507	+	18.9280i	1.21936	+	0.706878i
$718$	−0.923635	−	8.39238i	−0.0344698	−	0.313201i
$719$	−3.08870	−	5.34978i	−0.115189	−	0.199513i	0.802666	−	0.596428i	$-0.203414\pi$
$719$	−3.08870	−	5.34978i	−0.115189	−	0.199513i	−0.917855	+	0.396915i	$0.870081\pi$
$720$	−37.1697	−	3.30465i	−1.38523	−	0.123157i
$721$	−33.9258	+	20.0578i	−1.26346	+	0.746990i
$722$	−20.2237	−	27.5509i	−0.752649	−	1.02534i
$723$	0.0148562	−	8.40157i	0.000552508	−	0.312458i
$724$	10.4227	−	9.57106i	0.387356	−	0.355706i
$725$	−4.19351	−	7.26338i	−0.155743	−	0.269755i
$726$	−5.88413	+	13.3280i	−0.218381	+	0.494648i
$727$	13.6339	+	23.6147i	0.505655	+	0.875819i	0.999979	+	0.00654173i	$0.00208231\pi$
$727$	13.6339	+	23.6147i	0.505655	+	0.875819i	−0.494324	+	0.869278i	$0.664584\pi$
$728$	−31.5713	+	11.1391i	−1.17011	+	0.412843i
$729$	26.9985	+	0.286453i	0.999944	+	0.0106094i
$730$	−11.7115	−	15.9547i	−0.433462	−	0.590509i
$731$	−3.29534			−0.121883
$732$	9.85655	+	44.6086i	0.364309	+	1.64878i
$733$		−	10.9454i		−	0.404276i	−0.979357	−	0.202138i	$-0.935211\pi$
$733$		−	10.9454i		−	0.404276i	0.979357	−	0.202138i	$-0.0647890\pi$
$734$	−2.97596	+	6.77316i	−0.109845	+	0.250002i
$735$	33.0025	+	18.2305i	1.21732	+	0.672442i
$736$	−2.33342	+	4.28023i	−0.0860110	+	0.157771i
$737$	13.2350	+	22.9237i	0.487518	+	0.844407i
$738$	4.20621	−	3.06473i	0.154833	−	0.112814i
$739$	−5.56689	−	3.21404i	−0.204781	−	0.118230i	0.394102	−	0.919067i	$-0.371056\pi$
$739$	−5.56689	−	3.21404i	−0.204781	−	0.118230i	−0.598884	+	0.800836i	$0.704389\pi$
$740$	−23.0171	−	7.23033i	−0.846124	−	0.265792i
$741$	0.0900236	−	50.9108i	0.00330710	−	1.87025i
$742$	−6.83196	−	2.91787i	−0.250809	−	0.107119i
$743$	25.1981	+	14.5481i	0.924427	+	0.533718i	0.885045	−	0.465506i	$-0.154128\pi$
$743$	25.1981	+	14.5481i	0.924427	+	0.533718i	0.0393825	+	0.999224i	$0.487461\pi$
$744$	−23.8474	−	20.9209i	−0.874288	−	0.766996i
$745$		−	57.0934i		−	2.09174i
$746$	−6.58375	+	14.9843i	−0.241048	+	0.548615i
$747$	4.42061	+	7.71963i	0.161742	+	0.282447i
$748$	−14.7969	+	3.29693i	−0.541029	+	0.120548i
$749$	−10.8701	+	19.2855i	−0.397185	+	0.704676i
$750$	−2.29833	−	1.01468i	−0.0839233	−	0.0370510i
$751$			11.5569i			0.421718i	0.977516	+	0.210859i	$0.0676261\pi$
$751$			11.5569i			0.421718i	−0.977516	+	0.210859i	$0.932374\pi$
$752$	37.6962	+	26.2758i	1.37464	+	0.958178i
$753$	26.0132	+	0.0459983i	0.947975	+	0.00167627i
$754$	10.4025	+	4.57059i	0.378836	+	0.166451i
$755$	44.2094			1.60894
$756$	−26.2728	−	8.10787i	−0.955534	−	0.294880i
$757$	10.5542			0.383600			0.191800	−	0.981434i	$-0.438567\pi$
$757$	10.5542			0.383600			0.191800	+	0.981434i	$0.438567\pi$
$758$	−9.90622	−	4.35255i	−0.359810	−	0.158092i
$759$	3.35503	+	0.00593257i	0.121780	+	0.000215339i
$760$	−38.0327	+	43.5079i	−1.37959	+	1.57820i
$761$			36.2016i			1.31231i	0.754628	+	0.656153i	$0.227817\pi$
$761$			36.2016i			1.31231i	−0.754628	+	0.656153i	$0.772183\pi$
$762$	−17.9376	−	7.91921i	−0.649810	−	0.286883i
$763$	−0.0770952	−	7.45392i	−0.00279103	−	0.269850i
$764$	7.77255	+	34.8840i	0.281201	+	1.26206i
$765$	15.8263	−	27.1895i	0.572202	−	0.983039i
$766$	−5.34662	+	12.1687i	−0.193181	+	0.439672i
$767$			27.6401i			0.998025i
$768$	−27.3037	−	4.74432i	−0.985237	−	0.171196i
$769$	11.0469	+	6.37795i	0.398363	+	0.229995i	0.685777	−	0.727812i	$-0.259462\pi$
$769$	11.0469	+	6.37795i	0.398363	+	0.229995i	−0.287415	+	0.957806i	$0.592796\pi$
$770$	−3.12974	−	25.9650i	−0.112788	−	0.935715i
$771$	0.0731928	−	41.3925i	0.00263598	−	1.49071i
$772$	8.02827	−	25.5573i	0.288944	−	0.919826i
$773$	−43.1258	−	24.8987i	−1.55113	−	0.895543i	−0.998051	−	0.0624114i	$-0.980121\pi$
$773$	−43.1258	−	24.8987i	−1.55113	−	0.895543i	−0.553075	−	0.833131i	$-0.686546\pi$
$774$	0.438963	+	4.12255i	0.0157782	+	0.148182i
$775$	15.1209	+	26.1902i	0.543160	+	0.940780i
$776$	6.16187	−	7.04893i	0.221198	−	0.253042i
$777$	−15.4706	−	8.75595i	−0.555004	−	0.314118i
$778$	6.57595	−	14.9666i	0.235759	−	0.536578i
$779$		−	8.05936i		−	0.288757i
$780$	−47.0579	+	10.3977i	−1.68494	+	0.372299i
$781$	7.99227			0.285986
$782$	−2.43200	−	3.31313i	−0.0869682	−	0.118477i
$783$	4.62288	+	8.10606i	0.165208	+	0.289687i
$784$	23.2967	+	15.5327i	0.832023	+	0.554741i
$785$	−13.0668	−	22.6323i	−0.466373	−	0.807782i
$786$	−4.02411	+	9.11490i	−0.143535	+	0.325118i
$787$	5.30964	+	9.19657i	0.189268	+	0.327822i	0.945007	−	0.327051i	$-0.106055\pi$
$787$	5.30964	+	9.19657i	0.189268	+	0.327822i	−0.755738	+	0.654874i	$0.772722\pi$
$788$	−10.3314	−	11.2507i	−0.368041	−	0.400789i
$789$	−0.0152731	+	8.63735i	−0.000543737	+	0.307498i
$790$	−29.2566	−	39.8565i	−1.04090	−	1.41803i
$791$	−0.00878261	−	0.849144i	−0.000312274	−	0.0301921i
$792$	6.09559	+	18.0721i	0.216597	+	0.642165i
$793$	29.5001	+	51.0957i	1.04758	+	1.81446i
$794$	4.45593	+	40.4877i	0.158135	+	1.43685i
$795$	−9.25186	−	5.36340i	−0.328130	−	0.190220i
$796$	46.9239	−	10.4552i	1.66317	−	0.370574i
$797$	25.9905	+	15.0056i	0.920629	+	0.531526i	0.883836	−	0.467797i	$-0.154952\pi$
$797$	25.9905	+	15.0056i	0.920629	+	0.531526i	0.0367937	+	0.999323i	$0.488286\pi$
$798$	−34.1072	+	25.4892i	−1.20738	+	0.902308i
$799$	−33.5491	+	19.3696i	−1.18688	+	0.685246i
$800$	23.1955	+	12.6453i	0.820085	+	0.447079i
$801$	−39.4244	+	22.5762i	−1.39299	+	0.797690i
$802$	1.29837	−	2.95505i	0.0458472	−	0.104346i
$803$	−5.05779	+	8.76035i	−0.178486	+	0.309146i
$804$	−38.8981	−	12.2946i	−1.37183	−	0.433598i
$805$	6.10335	−	3.60845i	0.215115	−	0.127181i
$806$	−37.5091	−	16.4806i	−1.32120	−	0.580503i
$807$	11.1514	+	6.46459i	0.392549	+	0.227564i
$808$	10.3684	+	30.3849i	0.364760	+	1.06894i
$809$	−25.8662	+	44.8015i	−0.909405	+	1.57514i	−0.0945135	+	0.995524i	$0.530130\pi$
$809$	−25.8662	+	44.8015i	−0.909405	+	1.57514i	−0.814892	+	0.579613i	$0.803204\pi$
$810$	−36.1229	−	16.1773i	−1.26923	−	0.568412i
$811$	−27.3735			−0.961213			−0.480607	−	0.876936i	$-0.659584\pi$
$811$	−27.3735			−0.961213			−0.480607	+	0.876936i	$0.659584\pi$
$812$	−2.16249	−	9.25354i	−0.0758885	−	0.324736i
$813$	2.19686	+	3.82065i	0.0770471	+	0.133996i
$814$	1.34894	+	12.2568i	0.0472805	+	0.429602i
$815$	34.1191	+	59.0961i	1.19514	+	2.07005i
$816$	13.3940	−	19.1433i	0.468884	−	0.670150i
$817$	5.56010	+	3.21012i	0.194523	+	0.112308i
$818$	−3.95626	−	35.9475i	−0.138327	−	1.25688i
$819$	−35.5088	+	0.241677i	−1.24078	+	0.00844487i
$820$	−7.44650	+	1.65917i	−0.260043	+	0.0579406i
$821$	5.99403	−	10.3820i	0.209193	−	0.362333i	−0.742267	−	0.670104i	$-0.766250\pi$
$821$	5.99403	−	10.3820i	0.209193	−	0.362333i	0.951461	+	0.307771i	$0.0995829\pi$
$822$	14.9215	−	33.7982i	0.520446	−	1.17885i
$823$	18.9113	−	10.9184i	0.659205	−	0.380592i	−0.132769	−	0.991147i	$-0.542387\pi$
$823$	18.9113	−	10.9184i	0.659205	−	0.380592i	0.791974	+	0.610555i	$0.209054\pi$
$824$	−39.8751	+	13.6068i	−1.38912	+	0.474016i
$825$	0.0321499	−	18.1816i	0.00111932	−	0.633003i
$826$	18.4927	−	13.8711i	0.643442	−	0.482638i
$827$		−	20.0823i		−	0.698331i	−0.937061	−	0.349166i	$-0.886465\pi$
$827$		−	20.0823i		−	0.698331i	0.937061	−	0.349166i	$-0.113535\pi$
$828$	−3.82085	+	3.48382i	−0.132784	+	0.121071i
$829$	48.8320	+	28.1931i	1.69600	+	0.979188i	0.949479	+	0.313831i	$0.101613\pi$
$829$	48.8320	+	28.1931i	1.69600	+	0.979188i	0.746525	+	0.665357i	$0.231721\pi$
$830$	−1.42658	−	12.9622i	−0.0495172	−	0.449925i
$831$	20.6249	+	0.0364702i	0.715468	+	0.00126514i
$832$	−35.4690	+	4.78486i	−1.22967	+	0.165885i
$833$	−20.1948	+	12.2233i	−0.699709	+	0.423511i
$834$	−11.7472	−	16.0628i	−0.406774	−	0.556210i
$835$	−10.1996	−	5.88874i	−0.352972	−	0.203788i
$836$	28.1779	+	8.85150i	0.974554	+	0.306136i
$837$	−16.6691	−	29.2287i	−0.576169	−	1.01029i
$838$	−13.5540	−	18.4647i	−0.468215	−	0.637852i
$839$	−27.0448	−	46.8430i	−0.933691	−	1.61720i	−0.776951	−	0.629561i	$-0.783235\pi$
$839$	−27.0448	−	46.8430i	−0.933691	−	1.61720i	−0.156740	−	0.987640i	$-0.550098\pi$
$840$	30.5725	+	26.2661i	1.05485	+	0.906268i
$841$	12.8874	−	22.3217i	0.444394	−	0.769713i
$842$	−19.8219	+	2.18153i	−0.683108	+	0.0751804i
$843$	3.20020	+	5.56562i	0.110221	+	0.191690i
$844$	4.05129	+	18.1826i	0.139451	+	0.625870i
$845$	−18.8913	+	10.9069i	−0.649881	+	0.375209i
$846$	28.7008	+	39.3905i	0.986752	+	1.35427i
$847$	13.5460	−	8.00873i	0.465447	−	0.275183i
$848$	−6.51532	−	4.54143i	−0.223737	−	0.155953i
$849$	12.8415	+	22.3333i	0.440720	+	0.766476i
$850$	−17.9546	+	13.1795i	−0.615837	+	0.452055i
$851$	−2.89511	+	1.67149i	−0.0992430	+	0.0572980i
$852$	−9.08723	+	8.31515i	−0.311323	+	0.284872i
$853$	−24.2820	+	14.0192i	−0.831398	+	0.480008i	−0.854331	−	0.519729i	$-0.826033\pi$
$853$	−24.2820	+	14.0192i	−0.831398	+	0.480008i	0.0229329	+	0.999737i	$0.492700\pi$
$854$	19.3812	−	45.3794i	0.663210	−	1.55285i
$855$	−53.1895	+	30.4587i	−1.81904	+	1.04167i
$856$	−15.5760	+	17.8183i	−0.532375	+	0.609016i
$857$		−	43.0094i		−	1.46917i	−0.678514	−	0.734587i	$-0.737376\pi$
$857$		−	43.0094i		−	1.46917i	0.678514	−	0.734587i	$-0.262624\pi$
$858$	14.5403	+	19.8819i	0.496397	+	0.678758i
$859$	−13.0501			−0.445265			−0.222632	−	0.974902i	$-0.571465\pi$
$859$	−13.0501			−0.445265			−0.222632	+	0.974902i	$0.571465\pi$
$860$	1.82137	−	5.79815i	0.0621081	−	0.197715i
$861$	−5.62109	+	0.0481979i	−0.191566	+	0.00164258i
$862$	45.0152	−	33.0434i	1.53322	−	1.12546i
$863$	44.0479	−	25.4311i	1.49941	−	0.865684i	0.499409	−	0.866367i	$-0.333551\pi$
$863$	44.0479	−	25.4311i	1.49941	−	0.865684i	1.00000		0.000682608i	$0.000217281\pi$
$864$	−25.7329	−	14.2062i	−0.875452	−	0.483305i
$865$	4.40218	−	7.62480i	0.149679	−	0.259251i
$866$	−11.9335	−	5.24328i	−0.405516	−	0.178174i
$867$	−4.85886	−	8.45027i	−0.165016	−	0.286986i
$868$	7.79747	+	33.3663i	0.264664	+	1.13253i
$869$	−12.6349	+	21.8843i	−0.428609	+	0.742373i
$870$	−1.47243	−	13.6000i	−0.0499200	−	0.461082i
$871$	−52.6854			−1.78518
$872$	1.54219	−	7.81835i	0.0522253	−	0.264763i
$873$	8.61749	−	4.93476i	0.291658	−	0.167016i
$874$	0.875964	+	7.95922i	0.0296299	+	0.269225i
$875$	1.38106	+	2.33593i	0.0466883	+	0.0789690i
$876$	−3.36354	−	15.2227i	−0.113644	−	0.514326i
$877$	10.8044			0.364838			0.182419	−	0.983221i	$-0.441607\pi$
$877$	10.8044			0.364838			0.182419	+	0.983221i	$0.441607\pi$
$878$	0.0639572	+	0.0871294i	0.00215845	+	0.00294047i
$879$	7.49800	+	4.34667i	0.252901	+	0.146610i
$880$	2.37746	−	27.8574i	0.0801443	−	0.939074i
$881$		−	43.3115i		−	1.45920i	−0.683873	−	0.729601i	$-0.739706\pi$
$881$		−	43.3115i		−	1.45920i	0.683873	−	0.729601i	$-0.260294\pi$
$882$	17.9817	+	23.6360i	0.605475	+	0.795864i
$883$			18.6655i			0.628143i	0.949399	+	0.314072i	$0.101693\pi$
$883$			18.6655i			0.628143i	−0.949399	+	0.314072i	$0.898307\pi$
$884$	9.04276	−	28.7868i	0.304141	−	0.968204i
$885$	28.8479	−	16.5874i	0.969712	−	0.557580i
$886$	−37.3925	+	27.4479i	−1.25623	+	0.922131i
$887$	2.80752			0.0942673			0.0471336	−	0.998889i	$-0.484991\pi$
$887$	2.80752			0.0942673			0.0471336	+	0.998889i	$0.484991\pi$
$888$	−14.2858	−	12.5326i	−0.479399	−	0.420567i
$889$	10.7786	+	18.2310i	0.361503	+	0.611449i
$890$	66.1985	−	7.28557i	2.21898	−	0.244213i
$891$	−0.143082	+	20.2289i	−0.00479343	+	0.677693i
$892$	5.23638	−	16.6695i	0.175327	−	0.558137i
$893$	75.4747			2.52566
$894$	18.1633	−	41.1412i	0.607471	−	1.37597i
$895$	−14.9136	+	25.8310i	−0.498505	+	0.863437i
$896$	21.0014	+	21.3294i	0.701607	+	0.712565i
$897$	−3.34911	+	5.77721i	−0.111824	+	0.192896i
$898$	2.59782	−	5.91252i	0.0866902	−	0.197303i
$899$	5.81461	−	10.0712i	0.193928	−	0.335894i
$900$	18.8796	+	20.7060i	0.629320	+	0.690200i
$901$	5.79854	−	3.34779i	0.193177	−	0.111531i
$902$	2.30734	+	3.14331i	0.0768260	+	0.104661i
$903$	2.20568	−	3.89715i	0.0734005	−	0.129689i
$904$	0.175685	−	0.890660i	0.00584321	−	0.0296229i
$905$	−22.0019			−0.731368
$906$	31.8570	+	14.0645i	1.05838	+	0.467260i
$907$			24.0919i			0.799958i	0.916524	+	0.399979i	$0.130983\pi$
$907$			24.0919i			0.799958i	−0.916524	+	0.399979i	$0.869017\pi$
$908$	29.4661	+	32.0879i	0.977866	+	1.06488i
$909$	−0.120428	+	34.0525i	−0.00399435	+	1.12945i
$910$	47.8711	+	20.4453i	1.58691	+	0.677756i
$911$	−2.87372	+	1.65914i	−0.0952107	+	0.0549699i	−0.546849	−	0.837231i	$-0.684173\pi$
$911$	−2.87372	+	1.65914i	−0.0952107	+	0.0549699i	0.451639	+	0.892201i	$0.350840\pi$
$912$	−41.2475	+	19.2521i	−1.36584	+	0.637501i
$913$	−5.77208	+	3.33251i	−0.191028	+	0.110290i
$914$	−10.6318	−	14.4838i	−0.351668	−	0.479080i
$915$	35.6249	−	61.4529i	1.17772	−	2.03157i
$916$	12.5219	−	11.4988i	0.413735	−	0.379930i
$917$	9.26402	−	5.47711i	0.305925	−	0.180870i
$918$	20.0542	−	14.5577i	0.661889	−	0.480476i
$919$	38.9661	−	22.4971i	1.28537	−	0.742110i	0.307548	−	0.951533i	$-0.400492\pi$
$919$	38.9661	−	22.4971i	1.28537	−	0.742110i	0.977825	+	0.209422i	$0.0671583\pi$
$920$	7.17365	−	2.44791i	0.236508	−	0.0807051i
$921$	−37.7506	−	0.0667530i	−1.24392	−	0.00219959i
$922$	0.938495	+	8.52740i	0.0309077	+	0.280835i
$923$	−7.95382	+	13.7764i	−0.261803	+	0.453456i
$924$	6.00506	−	19.7059i	0.197552	−	0.648277i
$925$	9.05818	+	15.6892i	0.297831	+	0.515858i
$926$	−29.6250	+	21.7462i	−0.973539	+	0.714625i
$927$	−44.6883	−	0.158042i	−1.46776	−	0.00519078i
$928$	−0.248643	−	10.1559i	−0.00816212	−	0.333385i
$929$	−17.3935	−	10.0422i	−0.570663	−	0.329473i	0.186751	−	0.982407i	$-0.440204\pi$
$929$	−17.3935	−	10.0422i	−0.570663	−	0.329473i	−0.757414	+	0.652935i	$0.773538\pi$
$930$	5.30926	+	49.0386i	0.174098	+	1.60804i
$931$	45.9811	−	0.951258i	1.50697	−	0.0311762i
$932$	10.9534	−	34.8691i	0.358791	−	1.14218i
$933$	−2.10363	−	3.65853i	−0.0688699	−	0.119775i
$934$	15.8606	−	1.74557i	0.518976	−	0.0571166i
$935$	20.4132	+	11.7855i	0.667582	+	0.385429i
$936$	−37.2175	−	7.47811i	−1.21649	−	0.244430i
$937$		−	52.5195i		−	1.71574i	−0.513868	−	0.857869i	$-0.671788\pi$
$937$		−	52.5195i		−	1.71574i	0.513868	−	0.857869i	$-0.328212\pi$
$938$	26.4400	+	35.2493i	0.863298	+	1.15093i
$939$	0.476258	+	0.276092i	0.0155421	+	0.00900991i
$940$	−15.5379	−	69.7354i	−0.506789	−	2.27452i
$941$	−15.4825	+	8.93882i	−0.504715	+	0.291397i	−0.730658	−	0.682743i	$-0.760787\pi$
$941$	−15.4825	+	8.93882i	−0.504715	+	0.291397i	0.225944	+	0.974140i	$0.427453\pi$
$942$	−2.21576	−	20.4657i	−0.0721934	−	0.666808i
$943$	−0.528558	+	0.915489i	−0.0172122	+	0.0298124i
$944$	22.3752	−	10.4918i	0.728251	−	0.341478i
$945$	21.5618	+	36.9154i	0.701406	+	1.20086i
$946$	−3.08758	+	0.339808i	−0.100386	+	0.0110481i
$947$	−51.8922	−	29.9600i	−1.68627	−	0.973568i	−0.957334	−	0.288985i	$-0.906682\pi$
$947$	−51.8922	−	29.9600i	−1.68627	−	0.973568i	−0.728935	−	0.684583i	$-0.759984\pi$
$948$	−8.40249	−	38.0278i	−0.272900	−	1.23509i
$949$	−10.0669	−	17.4364i	−0.326786	−	0.566010i
$950$	43.1328	−	4.74704i	1.39941	−	0.154014i
$951$	30.0777	−	51.8840i	0.975336	−	1.68245i
$952$	−23.7980	+	8.39649i	−0.771297	+	0.272132i
$953$	11.2404			0.364111			0.182056	−	0.983288i	$-0.441725\pi$
$953$	11.2404			0.364111			0.182056	+	0.983288i	$0.441725\pi$
$954$	−4.96057	−	6.80816i	−0.160604	−	0.220422i
$955$	27.7846	−	48.1243i	0.899088	−	1.55727i
$956$	−9.47747	−	42.5358i	−0.306523	−	1.37571i
$957$	−6.06107	+	3.48508i	−0.195926	+	0.112657i
$958$	9.03859	−	20.5714i	0.292024	−	0.664633i
$959$	−34.3511	+	20.3092i	−1.10926	+	0.655819i
$960$	26.2797	+	34.1475i	0.848173	+	1.10211i
$961$	−5.46626	+	9.46784i	−0.176331	+	0.305414i
$962$	−22.4698	−	9.87267i	−0.724455	−	0.318308i
$963$	−21.7833	+	12.4741i	−0.701957	+	0.401972i
$964$	−7.14558	+	6.56172i	−0.230144	+	0.211339i
$965$	−36.0717	+	20.8260i	−1.16119	+	0.670413i
$966$	5.54601	−	0.658549i	0.178440	−	0.0211885i
$967$	28.0105	+	16.1719i	0.900756	+	0.520052i	0.877445	−	0.479676i	$-0.159246\pi$
$967$	28.0105	+	16.1719i	0.900756	+	0.520052i	0.0233107	+	0.999728i	$0.492579\pi$
$968$	15.9215	−	5.43298i	0.511736	−	0.174623i
$969$	0.0678584	−	38.3757i	0.00217993	−	1.23281i
$970$	−14.4698	+	1.59250i	−0.464599	+	0.0511321i
$971$	4.19734	+	7.27001i	0.134699	+	0.233306i	0.925483	−	0.378790i	$-0.123660\pi$
$971$	4.19734	+	7.27001i	0.134699	+	0.233306i	−0.790783	+	0.612096i	$0.790327\pi$
$972$	−20.8834	−	23.1491i	−0.669836	−	0.742509i
$973$	0.222304	+	21.4933i	0.00712673	+	0.689045i
$974$	6.41266	−	4.70721i	0.205475	−	0.150829i
$975$	31.3080	+	18.1496i	1.00266	+	0.581251i
$976$	30.1652	−	43.2762i	0.965565	−	1.38524i
$977$	5.69274	+	9.86011i	0.182127	+	0.315453i	0.942605	−	0.333911i	$-0.108369\pi$
$977$	5.69274	+	9.86011i	0.182127	+	0.315453i	−0.760478	+	0.649364i	$0.775035\pi$
$978$	5.78566	+	53.4387i	0.185005	+	1.70878i
$979$	−17.0192	−	29.4782i	−0.543938	−	0.942127i
$980$	−10.3450	−	42.2887i	−0.330458	−	1.35086i
$981$	4.25206	−	7.30500i	0.135758	−	0.233231i
$982$	11.8159	−	8.67343i	0.377060	−	0.276780i
$983$	40.4147			1.28903			0.644514	−	0.764593i	$-0.277060\pi$
$983$	40.4147			1.28903			0.644514	+	0.764593i	$0.277060\pi$
$984$	−5.89374	−	1.17339i	−0.187886	−	0.0374063i
$985$			23.7498i			0.756730i
$986$	7.84122	+	3.44524i	0.249715	+	0.109719i
$987$	−0.451366	−	52.6406i	−0.0143671	−	1.67557i
$988$	−43.2999	+	39.7619i	−1.37755	+	1.26499i
$989$	−0.421060	−	0.729297i	−0.0133889	−	0.0231903i
$990$	12.0248	−	27.1073i	0.382174	−	0.861526i
$991$	−41.5797	−	24.0060i	−1.32082	−	0.762577i	−0.336962	−	0.941518i	$-0.609399\pi$
$991$	−41.5797	−	24.0060i	−1.32082	−	0.762577i	−0.983860	+	0.178941i	$0.942733\pi$
$992$	0.896556	+	36.6202i	0.0284657	+	1.16269i
$993$	−4.45329	−	2.58162i	−0.141321	−	0.0819251i
$994$	13.2088	−	1.59214i	0.418956	−	0.0504995i
$995$	−64.7340	−	37.3742i	−2.05221	−	1.18484i
$996$	3.09573	−	9.79434i	0.0980918	−	0.310346i
$997$		−	28.8714i		−	0.914368i	−0.889372	−	0.457184i	$-0.848858\pi$
$997$		−	28.8714i		−	0.914368i	0.889372	−	0.457184i	$-0.151142\pi$
$998$	14.9433	+	6.56572i	0.473022	+	0.207834i
$999$	−9.98562	−	17.5094i	−0.315931	−	0.553974i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.16	yes	84
3.2	odd	2		756.2.n.b.199.27		84
4.3	odd	2	inner	252.2.n.b.31.14	✓	84
7.5	odd	6		252.2.bj.b.103.41	yes	84
9.2	odd	6		756.2.bj.b.451.2		84
9.7	even	3		252.2.bj.b.115.41	yes	84
12.11	even	2		756.2.n.b.199.29		84
21.5	even	6		756.2.bj.b.523.2		84
28.19	even	6		252.2.bj.b.103.42	yes	84
36.7	odd	6		252.2.bj.b.115.42	yes	84
36.11	even	6		756.2.bj.b.451.1		84
63.47	even	6		756.2.n.b.19.29		84
63.61	odd	6	inner	252.2.n.b.187.14	yes	84
84.47	odd	6		756.2.bj.b.523.1		84
252.47	odd	6		756.2.n.b.19.27		84
252.187	even	6	inner	252.2.n.b.187.16	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.14	✓	84	4.3	odd	2	inner
252.2.n.b.31.16	yes	84	1.1	even	1	trivial
252.2.n.b.187.14	yes	84	63.61	odd	6	inner
252.2.n.b.187.16	yes	84	252.187	even	6	inner
252.2.bj.b.103.41	yes	84	7.5	odd	6
252.2.bj.b.103.42	yes	84	28.19	even	6
252.2.bj.b.115.41	yes	84	9.7	even	3
252.2.bj.b.115.42	yes	84	36.7	odd	6
756.2.n.b.19.27		84	252.47	odd	6
756.2.n.b.19.29		84	63.47	even	6
756.2.n.b.199.27		84	3.2	odd	2
756.2.n.b.199.29		84	12.11	even	2
756.2.bj.b.451.1		84	36.11	even	6
756.2.bj.b.451.2		84	9.2	odd	6
756.2.bj.b.523.1		84	84.47	odd	6
756.2.bj.b.523.2		84	21.5	even	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.568881 + 1.29475i) q^{2} +(1.73205 + 0.00306272i) q^{3} +(-1.35275 - 1.47312i) q^{4} +3.10969i q^{5} +(-0.989294 + 2.24082i) q^{6} +(2.27748 - 1.34650i) q^{7} +(2.67687 - 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +O(q^{10})\)	\(q+(-0.568881 + 1.29475i) q^{2} +(1.73205 + 0.00306272i) q^{3} +(-1.35275 - 1.47312i) q^{4} +3.10969i q^{5} +(-0.989294 + 2.24082i) q^{6} +(2.27748 - 1.34650i) q^{7} +(2.67687 - 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +(-4.02627 - 1.76904i) q^{10} +2.24771i q^{11} +(-2.33851 - 2.55565i) q^{12} +(-3.87442 - 2.23689i) q^{13} +(0.447765 + 3.71477i) q^{14} +(-0.00952410 + 5.38613i) q^{15} +(-0.340139 + 3.98551i) q^{16} +(-2.92047 - 1.68614i) q^{17} +(-1.72037 + 3.87819i) q^{18} +(3.28507 + 5.68990i) q^{19} +(4.58093 - 4.20663i) q^{20} +(3.94884 - 2.32523i) q^{21} +(-2.91022 - 1.27868i) q^{22} -0.861779i q^{23} +(4.63926 - 1.57393i) q^{24} -4.67017 q^{25} +(5.10030 - 3.74387i) q^{26} +(5.19608 + 0.0275643i) q^{27} +(-5.06442 - 1.53352i) q^{28} +(0.897936 + 1.55527i) q^{29} +(-6.96827 - 3.07640i) q^{30} +(-3.23777 - 5.60798i) q^{31} +(-4.96674 - 2.70768i) q^{32} +(-0.00688410 + 3.89314i) q^{33} +(3.84452 - 2.82207i) q^{34} +(4.18720 + 7.08227i) q^{35} +(-4.04259 - 4.43367i) q^{36} +(-1.93958 - 3.35945i) q^{37} +(-9.23580 + 1.01646i) q^{38} +(-6.70382 - 3.88628i) q^{39} +(2.84053 + 8.32423i) q^{40} +(-1.06232 - 0.613333i) q^{41} +(0.764174 + 6.43553i) q^{42} +(0.846269 - 0.488593i) q^{43} +(3.31113 - 3.04059i) q^{44} +(-0.0329924 + 9.32901i) q^{45} +(1.11579 + 0.490250i) q^{46} +(5.74377 - 9.94851i) q^{47} +(-0.601344 + 6.90206i) q^{48} +(3.37386 - 6.13327i) q^{49} +(2.65677 - 6.04670i) q^{50} +(-5.05324 - 2.92941i) q^{51} +(1.94591 + 8.73342i) q^{52} +(-0.992739 + 1.71947i) q^{53} +(-2.99164 + 6.71194i) q^{54} -6.98968 q^{55} +(4.86657 - 5.68476i) q^{56} +(5.67247 + 9.86524i) q^{57} +(-2.52450 + 0.277838i) q^{58} +(-3.08911 - 5.35050i) q^{59} +(7.94728 - 7.27206i) q^{60} +(-11.4211 - 6.59399i) q^{61} +(9.10282 - 1.00182i) q^{62} +(6.84669 - 4.01532i) q^{63} +(6.33124 - 4.89033i) q^{64} +(6.95605 - 12.0482i) q^{65} +(-5.03672 - 2.22365i) q^{66} +(10.1987 - 5.88823i) q^{67} +(1.46679 + 6.58311i) q^{68} +(0.00263939 - 1.49264i) q^{69} +(-11.5518 + 1.39241i) q^{70} -3.55574i q^{71} +(8.04024 - 2.71191i) q^{72} +(3.89746 + 2.25020i) q^{73} +(5.45304 - 0.600142i) q^{74} +(-8.08896 - 0.0143034i) q^{75} +(3.93801 - 12.5363i) q^{76} +(3.02654 + 5.11912i) q^{77} +(8.84543 - 6.46894i) q^{78} +(9.73626 + 5.62123i) q^{79} +(-12.3937 - 1.05773i) q^{80} +(8.99977 + 0.0636569i) q^{81} +(1.39845 - 1.02653i) q^{82} +(1.48263 + 2.56798i) q^{83} +(-8.76712 - 2.67164i) q^{84} +(5.24336 - 9.08177i) q^{85} +(0.151180 + 1.37366i) q^{86} +(1.55050 + 2.69655i) q^{87} +(2.05315 + 6.01682i) q^{88} +(-13.1148 + 7.57182i) q^{89} +(-12.0600 - 5.34981i) q^{90} +(-11.8359 + 0.122418i) q^{91} +(-1.26950 + 1.16577i) q^{92} +(-5.59079 - 9.72320i) q^{93} +(9.61330 + 13.0963i) q^{94} +(-17.6938 + 10.2155i) q^{95} +(-8.59434 - 4.70504i) q^{96} +(2.86666 - 1.65507i) q^{97} +(6.02172 + 7.85741i) q^{98} +(-0.0238472 + 6.74308i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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