LMFDB - Embedded newform 252.2.n.b.31.14

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			31.14
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.836845 + 1.14004i) q^{2} +(-1.73205 - 0.00306272i) q^{3} +(-0.599381 - 1.90807i) q^{4} +3.10969i q^{5} +(1.45295 - 1.97204i) q^{6} +(-2.27748 + 1.34650i) q^{7} +(2.67687 + 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +O(q^{10})$	\(q+(-0.836845 + 1.14004i) q^{2} +(-1.73205 - 0.00306272i) q^{3} +(-0.599381 - 1.90807i) q^{4} +3.10969i q^{5} +(1.45295 - 1.97204i) q^{6} +(-2.27748 + 1.34650i) q^{7} +(2.67687 + 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +(-3.54517 - 2.60233i) q^{10} -2.24771i q^{11} +(1.03231 + 3.30671i) q^{12} +(-3.87442 - 2.23689i) q^{13} +(0.370835 - 3.72324i) q^{14} +(0.00952410 - 5.38613i) q^{15} +(-3.28148 + 2.28733i) q^{16} +(-2.92047 - 1.68614i) q^{17} +(-2.52261 + 3.41122i) q^{18} +(-3.28507 - 5.68990i) q^{19} +(5.93352 - 1.86389i) q^{20} +(3.94884 - 2.32523i) q^{21} +(2.56248 + 1.88098i) q^{22} +0.861779i q^{23} +(-4.63367 - 1.59033i) q^{24} -4.67017 q^{25} +(5.79243 - 2.54505i) q^{26} +(-5.19608 - 0.0275643i) q^{27} +(3.93430 + 3.53854i) q^{28} +(0.897936 + 1.55527i) q^{29} +(6.13243 + 4.51822i) q^{30} +(3.23777 + 5.60798i) q^{31} +(0.138453 - 5.65516i) q^{32} +(-0.00688410 + 3.89314i) q^{33} +(4.36625 - 1.91842i) q^{34} +(-4.18720 - 7.08227i) q^{35} +(-1.77789 - 5.73054i) 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} +(-0.653707 + 6.44769i) q^{42} +(-0.846269 + 0.488593i) q^{43} +(-4.28879 + 1.34723i) q^{44} +(-0.0329924 + 9.32901i) q^{45} +(-0.982463 - 0.721176i) q^{46} +(-5.74377 + 9.94851i) q^{47} +(5.69070 - 3.95171i) q^{48} +(3.37386 - 6.13327i) q^{49} +(3.90821 - 5.32418i) q^{50} +(5.05324 + 2.92941i) q^{51} +(-1.94591 + 8.73342i) q^{52} +(-0.992739 + 1.71947i) q^{53} +(4.37974 - 5.90067i) q^{54} +6.98968 q^{55} +(-7.32648 + 1.52406i) q^{56} +(5.67247 + 9.86524i) q^{57} +(-2.52450 - 0.277838i) q^{58} +(3.08911 + 5.35050i) q^{59} +(-10.2828 + 3.21017i) 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} +(-4.43257 - 3.26580i) q^{66} +(-10.1987 + 5.88823i) q^{67} +(-1.46679 + 6.58311i) q^{68} +(0.00263939 - 1.49264i) q^{69} +(11.5781 + 1.15318i) q^{70} +3.55574i q^{71} +(8.02086 + 2.76871i) q^{72} +(3.89746 + 2.25020i) q^{73} +(5.45304 + 0.600142i) q^{74} +(8.08896 + 0.0143034i) q^{75} +(-8.88774 + 9.67856i) q^{76} +(3.02654 + 5.11912i) q^{77} +(-10.0406 + 4.39041i) q^{78} +(-9.73626 - 5.62123i) q^{79} +(-7.11287 - 10.2044i) q^{80} +(8.99977 + 0.0636569i) q^{81} +(1.58823 - 0.697827i) q^{82} +(-1.48263 - 2.56798i) q^{83} +(-6.80357 - 6.14097i) 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} +(-10.6078 - 7.84455i) q^{90} +(11.8359 - 0.122418i) q^{91} +(1.64434 - 0.516534i) q^{92} +(-5.59079 - 9.72320i) q^{93} +(-6.53504 - 14.8735i) q^{94} +(17.6938 - 10.2155i) q^{95} +(-0.257127 + 9.79458i) q^{96} +(2.86666 - 1.65507i) q^{97} +(4.16877 + 8.97894i) 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 $

$2$	−0.836845	+	1.14004i	−0.591739	+	0.806130i
$2$	−0.836845	+	1.14004i	−0.591739	+	0.806130i
$3$	−1.73205	−	0.00306272i	−0.999998	−	0.00176826i
$3$	−1.73205	−	0.00306272i	−0.999998	−	0.00176826i
$4$	−0.599381	−	1.90807i	−0.299690	−	0.954036i
$5$			3.10969i			1.39070i	0.718673	+	0.695348i	$0.244750\pi$
$5$			3.10969i			1.39070i	−0.718673	+	0.695348i	$0.755250\pi$
$6$	1.45295	−	1.97204i	0.593163	−	0.805082i
$7$	−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
$10$	−3.54517	−	2.60233i	−1.12108	−	0.822929i
$11$		−	2.24771i		−	0.677710i	−0.940839	−	0.338855i	$-0.889960\pi$
$11$		−	2.24771i		−	0.677710i	0.940839	−	0.338855i	$-0.110040\pi$
$12$	1.03231	+	3.30671i	0.298003	+	0.954565i
$13$	−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	$0.879698\pi$
$14$	0.370835	−	3.72324i	0.0991098	−	0.995077i
$15$	0.00952410	−	5.38613i	0.00245911	−	1.39069i
$16$	−3.28148	+	2.28733i	−0.820371	+	0.571831i
$17$	−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	$0.800771\pi$
$18$	−2.52261	+	3.41122i	−0.594586	+	0.804032i
$19$	−3.28507	−	5.68990i	−0.753646	−	1.30535i	−0.946045	−	0.324036i	$-0.894960\pi$
$19$	−3.28507	−	5.68990i	−0.753646	−	1.30535i	0.192399	−	0.981317i	$-0.438373\pi$
$20$	5.93352	−	1.86389i	1.32677	−	0.416778i
$21$	3.94884	−	2.32523i	0.861706	−	0.507407i
$22$	2.56248	+	1.88098i	0.546322	+	0.401027i
$23$			0.861779i			0.179693i	0.995956	+	0.0898467i	$0.0286377\pi$
$23$			0.861779i			0.179693i	−0.995956	+	0.0898467i	$0.971362\pi$
$24$	−4.63367	−	1.59033i	−0.945843	−	0.324624i
$25$	−4.67017			−0.934034
$26$	5.79243	−	2.54505i	1.13599	−	0.499126i
$27$	−5.19608	−	0.0275643i	−0.999986	−	0.00530476i
$28$	3.93430	+	3.53854i	0.743514	+	0.668721i
$29$	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	$0.780008\pi$
$30$	6.13243	+	4.51822i	1.11962	+	0.824910i
$31$	3.23777	+	5.60798i	0.581520	+	1.00722i	0.995299	+	0.0968450i	$0.0308751\pi$
$31$	3.23777	+	5.60798i	0.581520	+	1.00722i	−0.413780	+	0.910377i	$0.635792\pi$
$32$	0.138453	−	5.65516i	0.0244752	−	0.999700i
$33$	−0.00688410	+	3.89314i	−0.00119837	+	0.677709i
$34$	4.36625	−	1.91842i	0.748805	−	0.329007i
$35$	−4.18720	−	7.08227i	−0.707767	−	1.19712i
$36$	−1.77789	−	5.73054i	−0.296315	−	0.955090i
$37$	−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	$0.697203\pi$
$42$	−0.653707	+	6.44769i	−0.100869	+	0.994900i
$43$	−0.846269	+	0.488593i	−0.129055	+	0.0745098i	−0.563138	−	0.826363i	$-0.690406\pi$
$43$	−0.846269	+	0.488593i	−0.129055	+	0.0745098i	0.434083	+	0.900873i	$0.357073\pi$
$44$	−4.28879	+	1.34723i	−0.646560	+	0.203103i
$45$	−0.0329924	+	9.32901i	−0.00491822	+	1.39069i
$46$	−0.982463	−	0.721176i	−0.144856	−	0.106332i
$47$	−5.74377	+	9.94851i	−0.837815	+	1.45114i	0.0539020	+	0.998546i	$0.482834\pi$
$47$	−5.74377	+	9.94851i	−0.837815	+	1.45114i	−0.891717	+	0.452593i	$0.850499\pi$
$48$	5.69070	−	3.95171i	0.821381	−	0.570380i
$49$	3.37386	−	6.13327i	0.481981	−	0.876182i
$50$	3.90821	−	5.32418i	0.552704	−	0.752953i
$51$	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	$0.210208\pi$
$54$	4.37974	−	5.90067i	0.596007	−	0.802979i
$55$	6.98968			0.942488
$56$	−7.32648	+	1.52406i	−0.979042	+	0.203661i
$57$	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	0.993987	−	0.109495i	$-0.0349234\pi$
$59$	3.08911	+	5.35050i	0.402168	+	0.696576i	−0.591819	+	0.806071i	$0.701590\pi$
$60$	−10.2828	+	3.21017i	−1.32751	+	0.414431i
$61$	−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
$66$	−4.43257	−	3.26580i	−0.545612	−	0.401993i
$67$	−10.1987	+	5.88823i	−1.24597	+	0.719362i	−0.970303	−	0.241891i	$-0.922232\pi$
$67$	−10.1987	+	5.88823i	−1.24597	+	0.719362i	−0.275668	+	0.961253i	$0.588899\pi$
$68$	−1.46679	+	6.58311i	−0.177875	+	0.798320i
$69$	0.00263939	−	1.49264i	0.000317745	−	0.179693i
$70$	11.5781	+	1.15318i	1.38385	+	0.137832i
$71$			3.55574i			0.421989i	0.977487	+	0.210994i	$0.0676702\pi$
$71$			3.55574i			0.421989i	−0.977487	+	0.210994i	$0.932330\pi$
$72$	8.02086	+	2.76871i	0.945268	+	0.326296i
$73$	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
$76$	−8.88774	+	9.67856i	−1.01949	+	1.11021i
$77$	3.02654	+	5.11912i	0.344907	+	0.583378i
$78$	−10.0406	+	4.39041i	−1.13687	+	0.497116i
$79$	−9.73626	−	5.62123i	−1.09542	−	0.632438i	−0.160402	−	0.987052i	$-0.551279\pi$
$79$	−9.73626	−	5.62123i	−1.09542	−	0.632438i	−0.935013	+	0.354614i	$0.884612\pi$
$80$	−7.11287	−	10.2044i	−0.795243	−	1.14089i
$81$	8.99977	+	0.0636569i	0.999975	+	0.00707299i
$82$	1.58823	−	0.697827i	0.175390	−	0.0770621i
$83$	−1.48263	−	2.56798i	−0.162739	−	0.281873i	0.773111	−	0.634271i	$-0.218700\pi$
$83$	−1.48263	−	2.56798i	−0.162739	−	0.281873i	−0.935850	+	0.352398i	$0.885366\pi$
$84$	−6.80357	−	6.14097i	−0.742330	−	0.670034i
$85$	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	$0.629890\pi$
$90$	−10.6078	−	7.84455i	−1.11816	−	0.826888i
$91$	11.8359	−	0.122418i	1.24074	−	0.0128329i
$92$	1.64434	−	0.516534i	0.171434	−	0.0538524i
$93$	−5.59079	−	9.72320i	−0.579738	−	1.00825i
$94$	−6.53504	−	14.8735i	−0.674038	−	1.53408i
$95$	17.6938	−	10.2155i	1.81535	−	1.04809i
$96$	−0.257127	+	9.79458i	−0.0262429	+	0.999656i
$97$	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	$0.279587\pi$
$98$	4.16877	+	8.97894i	0.421110	+	0.907010i
$99$	0.0238472	−	6.74308i	0.00239673	−	0.677705i
$100$	2.79921	+	8.91103i	0.279921	+	0.891103i
$101$			11.3509i			1.12946i	0.825276	+	0.564729i	$0.191019\pi$
$101$			11.3509i			1.12946i	−0.825276	+	0.564729i	$0.808981\pi$
$102$	−7.56842	+	3.30943i	−0.749386	+	0.327682i
$103$	14.8962			1.46777			0.733883	−	0.679276i	$-0.237706\pi$
$103$	14.8962			1.46777			0.733883	+	0.679276i	$0.237706\pi$
$104$	−8.32802	−	9.52693i	−0.816630	−	0.934192i
$105$	7.23075	+	12.2797i	0.705649	+	1.19837i
$106$	−1.12950	−	2.57070i	−0.109707	−	0.249688i
$107$	7.24634	−	4.18368i	0.700531	−	0.404452i	−0.107014	−	0.994257i	$-0.534129\pi$
$107$	7.24634	−	4.18368i	0.700531	−	0.404452i	0.807545	+	0.589806i	$0.200796\pi$
$108$	3.06184	+	9.93102i	0.294625	+	0.955613i
$109$	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	$0.123585\pi$
$110$	−5.84928	+	7.96851i	−0.557707	+	0.759768i
$111$	3.34916	+	5.82467i	0.317888	+	0.552854i
$112$	4.39364	−	9.62787i	0.415160	−	0.909748i
$113$	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	$0.161861\pi$
$114$	−15.9937	−	1.78884i	−1.49795	−	0.167541i
$115$	−2.67987			−0.249899
$116$	2.42936	−	2.64553i	0.225561	−	0.245631i
$117$	−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
$120$	4.94542	−	14.4093i	0.451453	−	1.31538i
$121$	5.94780			0.540710
$122$	17.0751	−	7.50239i	1.54591	−	0.679235i
$123$	1.83812	+	1.06558i	0.165738	+	0.0960798i
$124$	8.75977	−	9.53921i	0.786651	−	0.856646i
$125$			1.02566i			0.0917382i
$126$	1.15200	−	11.1657i	0.102628	−	0.994720i
$127$		−	8.00490i		−	0.710320i	−0.934805	−	0.355160i	$-0.884426\pi$
$127$		−	8.00490i		−	0.710320i	0.934805	−	0.355160i	$-0.115574\pi$
$128$	−10.8734	+	3.12542i	−0.961086	+	0.276250i
$129$	1.46727	−	0.843675i	0.129186	−	0.0742815i
$130$	7.91433	+	18.0127i	0.694132	+	1.57982i
$131$	−4.06766			−0.355393			−0.177696	−	0.984085i	$-0.556864\pi$
$131$	−4.06766			−0.355393			−0.177696	+	0.984085i	$0.556864\pi$
$132$	7.43252	−	2.32034i	0.646918	−	0.201960i
$133$	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
$136$	−6.27753	−	7.18125i	−0.538294	−	0.615787i
$137$	−15.0829			−1.28862			−0.644311	−	0.764763i	$-0.722856\pi$
$137$	−15.0829			−1.28862			−0.644311	+	0.764763i	$0.722856\pi$
$138$	1.69946	+	1.25212i	0.144668	+	0.106588i
$139$	4.06208	−	7.03573i	0.344541	−	0.596762i	−0.640729	−	0.767767i	$-0.721368\pi$
$139$	4.06208	−	7.03573i	0.344541	−	0.596762i	0.985270	+	0.171004i	$0.0547012\pi$
$140$	−11.0038	+	12.2345i	−0.929987	+	1.03400i
$141$	9.97896	−	17.2137i	0.840380	−	1.44966i
$142$	−4.05368	−	2.97560i	−0.340178	−	0.249707i
$143$	−5.02789	+	8.70856i	−0.420453	+	0.728246i
$144$	−9.86866	+	6.82712i	−0.822388	+	0.568926i
$145$	−4.83641	+	2.79230i	−0.401642	+	0.231888i
$146$	−5.82688	+	2.56019i	−0.482236	+	0.211883i
$147$	−5.86248	+	10.6128i	−0.483529	+	0.875328i
$148$	−5.24753	+	5.71445i	−0.431345	+	0.469725i
$149$	−18.3598			−1.50410			−0.752048	−	0.659108i	$-0.770934\pi$
$149$	−18.3598			−1.50410			−0.752048	+	0.659108i	$0.770934\pi$
$150$	−6.78551	+	9.20977i	−0.554035	+	0.751974i
$151$			14.2167i			1.15693i	0.815706	+	0.578467i	$0.196349\pi$
$151$			14.2167i			1.15693i	−0.815706	+	0.578467i	$0.803651\pi$
$152$	−3.59629	−	18.2318i	−0.291697	−	1.47880i
$153$	−8.74348	−	5.08936i	−0.706868	−	0.411451i
$154$	−8.36875	−	0.833529i	−0.674373	−	0.0671677i
$155$	−17.4391	+	10.0684i	−1.40074	+	0.808717i
$156$	3.39715	−	15.1207i	0.271990	−	1.21063i
$157$	−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	$0.442189\pi$
$158$	14.5562	−	6.39562i	1.15803	−	0.508809i
$159$	1.72474	−	2.97517i	0.136781	−	0.235946i
$160$	17.5858	+	0.430545i	1.39028	+	0.0340376i
$161$	−1.16039	−	1.96269i	−0.0914514	−	0.154681i
$162$	−7.60399	+	10.2068i	−0.597426	+	0.801924i
$163$	−19.0039	+	10.9719i	−1.48850	+	0.859384i	−0.999914	−	0.0131335i	$-0.995819\pi$
$163$	−19.0039	+	10.9719i	−1.48850	+	0.859384i	−0.488583	+	0.872517i	$0.662486\pi$
$164$	−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	−0.783408	−	0.621507i	$-0.786521\pi$
$167$	1.89367	−	3.27994i	0.146537	−	0.253809i	0.929945	+	0.367698i	$0.119854\pi$
$168$	12.6945	−	2.61730i	0.979400	−	0.201929i
$169$	3.50739	+	6.07499i	0.269800	+	0.467307i
$170$	5.96569	+	13.5777i	0.457548	+	1.04136i
$171$	−9.79477	−	17.1044i	−0.749025	−	1.30801i
$172$	1.43951	+	1.32189i	0.109762	+	0.100793i
$173$	−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	$0.700992\pi$
$174$	4.37171	+	0.488960i	0.331419	+	0.0370680i
$175$	10.6362	−	6.28840i	0.804024	−	0.475358i
$176$	5.14124	+	7.37582i	0.387536	+	0.555974i
$177$	−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	0.156340	−	0.987703i	$-0.450031\pi$
$179$	−8.30663	−	4.79584i	−0.620867	−	0.358458i	−0.777206	+	0.629246i	$0.783364\pi$
$180$	17.8202	−	5.52868i	1.32824	−	0.412083i
$181$			7.07527i			0.525901i	0.964809	+	0.262950i	$0.0846955\pi$
$181$			7.07527i			0.525901i	−0.964809	+	0.262950i	$0.915304\pi$
$182$	−9.76525	+	13.5958i	−0.723849	+	1.00779i
$183$	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
$186$	15.7635	+	1.76309i	1.15583	+	0.129276i
$187$	−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	0.941344	−	0.337450i	$-0.109564\pi$
$191$	15.4756	+	8.93484i	1.11978	+	0.646503i	0.178432	+	0.983952i	$0.442898\pi$
$192$	−10.9510	−	8.48968i	−0.790323	−	0.612690i
$193$	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
$196$	−13.7250	−	2.76141i	−0.980355	−	0.197244i
$197$	7.63734			0.544138			0.272069	−	0.962278i	$-0.412292\pi$
$197$	7.63734			0.544138			0.272069	+	0.962278i	$0.412292\pi$
$198$	7.66743	+	5.67010i	0.544900	+	0.402957i
$199$	12.0186	−	20.8169i	0.851978	−	1.47567i	−0.0274425	−	0.999623i	$-0.508736\pi$
$199$	12.0186	−	20.8169i	0.851978	−	1.47567i	0.879420	−	0.476046i	$-0.157930\pi$
$200$	−12.5014	−	4.26594i	−0.883985	−	0.301647i
$201$	17.6827	−	10.1675i	1.24724	−	0.717157i
$202$	−12.9405	−	9.49896i	−0.910490	−	0.668344i
$203$	−4.13921	−	2.33303i	−0.290516	−	0.163747i
$204$	2.56072	−	11.3978i	0.179286	−	0.798004i
$205$	1.90728	−	3.30350i	0.133210	−	0.230726i
$206$	−12.4658	+	16.9823i	−0.868534	+	1.18321i
$207$	−0.00914309	+	2.58532i	−0.000635489	+	0.179692i
$208$	17.8303	−	1.52171i	1.23631	−	0.105512i
$209$	−12.7892	+	7.38387i	−0.884650	+	0.510753i
$210$	−20.0503	−	2.03283i	−1.38360	−	0.140278i
$211$	8.06636	+	4.65711i	0.555311	+	0.320609i	0.751261	−	0.660005i	$-0.229446\pi$
$211$	8.06636	+	4.65711i	0.555311	+	0.320609i	−0.195950	+	0.980614i	$0.562779\pi$
$212$	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
$216$	−13.8840	−	4.82011i	−0.944689	−	0.327967i
$217$	−14.9251	−	8.41241i	−1.01318	−	0.571072i
$218$	1.60280	+	3.64791i	0.108556	+	0.247068i
$219$	−6.74369	−	3.90939i	−0.455696	−	0.264172i
$220$	−4.18948	−	13.3368i	−0.282455	−	0.899168i
$221$	7.54342	+	13.0656i	0.507425	+	0.878886i
$222$	−9.44309	−	1.05618i	−0.633779	−	0.0708859i
$223$	−4.36816	−	7.56588i	−0.292514	−	0.506649i	0.681890	−	0.731455i	$-0.261158\pi$
$223$	−4.36816	−	7.56588i	−0.292514	−	0.506649i	−0.974403	+	0.224806i	$0.927825\pi$
$224$	7.29936	+	13.0660i	0.487709	+	0.873006i
$225$	−14.0104	−	0.0495484i	−0.934028	−	0.00330323i
$226$	0.182590	+	0.415567i	0.0121457	+	0.0276431i
$227$	21.7824			1.44575			0.722873	−	0.690981i	$-0.242821\pi$
$227$	21.7824			1.44575			0.722873	+	0.690981i	$0.242821\pi$
$228$	15.4236	−	16.7365i	1.02146	−	1.10840i
$229$			8.50029i			0.561715i	0.959750	+	0.280857i	$0.0906188\pi$
$229$			8.50029i			0.561715i	−0.959750	+	0.280857i	$0.909381\pi$
$230$	2.24263	−	3.05515i	0.147875	−	0.201451i
$231$	−5.22644	−	8.87583i	−0.343875	−	0.583987i
$232$	0.983004	+	4.98347i	0.0645374	+	0.327181i
$233$	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	$0.629056\pi$
$234$	17.4042	−	7.57366i	1.13775	−	0.495105i
$235$	−30.9368	−	17.8614i	−2.01809	−	1.16515i
$236$	8.35759	−	9.10124i	0.544033	−	0.592440i
$237$	16.8465	+	9.76607i	1.09429	+	0.634374i
$238$	−7.36090	+	10.2483i	−0.477136	+	0.664301i
$239$	−18.8702	−	10.8947i	−1.22061	−	0.704721i	−0.255564	−	0.966792i	$-0.582261\pi$
$239$	−18.8702	−	10.8947i	−1.22061	−	0.704721i	−0.965048	+	0.262072i	$0.915594\pi$
$240$	12.2886	+	17.6963i	0.793225	+	1.14229i
$241$		−	4.85066i		−	0.312458i	−0.987721	−	0.156229i	$-0.950066\pi$
$241$		−	4.85066i		−	0.312458i	0.987721	−	0.156229i	$-0.0499338\pi$
$242$	−4.97739	+	6.78073i	−0.319959	+	0.435882i
$243$	−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
$246$	−2.75302	+	1.20381i	−0.175526	+	0.0767519i
$247$			29.3934i			1.87026i
$248$	3.54450	+	17.9693i	0.225076	+	1.14105i
$249$	2.56012	+	4.45241i	0.162241	+	0.282160i
$250$	−1.16930	−	0.858322i	−0.0739529	−	0.0542850i
$251$	−15.0188			−0.947977			−0.473988	−	0.880531i	$-0.657186\pi$
$251$	−15.0188			−0.947977			−0.473988	+	0.880531i	$0.657186\pi$
$252$	11.7653	+	10.6573i	0.741144	+	0.671346i
$253$	1.93703			0.121780
$254$	9.12591	+	6.69886i	0.572610	+	0.420324i
$255$	−9.10957	+	15.7140i	−0.570463	+	0.984049i
$256$	5.53629	−	15.0116i	0.346018	−	0.938228i
$257$		−	23.8980i		−	1.49072i	−0.666664	−	0.745358i	$-0.732279\pi$
$257$		−	23.8980i		−	1.49072i	0.666664	−	0.745358i	$-0.267721\pi$
$258$	−0.266058	+	2.37878i	−0.0165640	+	0.148096i
$259$	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
$262$	3.40400	−	4.63729i	0.210300	−	0.286493i
$263$		−	4.98678i		−	0.307498i	−0.988110	−	0.153749i	$-0.950865\pi$
$263$		−	4.98678i		−	0.307498i	0.988110	−	0.153749i	$-0.0491347\pi$
$264$	−3.57459	+	10.4151i	−0.220001	+	0.641007i
$265$	−5.34703	−	3.08711i	−0.328466	−	0.189640i
$266$	−22.4031	+	10.1211i	−1.37362	+	0.620562i
$267$	22.7386	−	13.0746i	1.39158	−	0.800152i
$268$	17.3481	+	15.9306i	1.05970	+	0.973116i
$269$	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	$0.593817\pi$
$270$	18.3493	+	13.6196i	1.11670	+	0.828864i
$271$	−1.27225	−	2.20361i	−0.0772839	−	0.133860i	0.824793	−	0.565434i	$-0.191291\pi$
$271$	−1.27225	−	2.20361i	−0.0772839	−	0.133860i	−0.902077	+	0.431575i	$0.857958\pi$
$272$	13.4402	−	1.14704i	0.814934	−	0.0695496i
$273$	−20.5007	+	0.175783i	−1.24076	+	0.0106389i
$274$	12.6221	−	17.1951i	0.762528	−	1.03880i
$275$			10.4972i			0.633004i
$276$	−2.84965	+	0.889626i	−0.171529	+	0.0535492i
$277$	11.9078			0.715469			0.357735	−	0.933823i	$-0.383549\pi$
$277$	11.9078			0.715469			0.357735	+	0.933823i	$0.383549\pi$
$278$	4.62168	+	10.5187i	0.277190	+	0.630872i
$279$	9.65374	+	16.8582i	0.577954	+	1.00927i
$280$	−4.73934	−	22.7831i	−0.283230	−	1.36155i
$281$	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	$0.798069\pi$
$282$	11.2735	+	25.7816i	0.671325	+	1.53527i
$283$	−7.43684	−	12.8810i	−0.442075	−	0.765696i	0.555769	−	0.831337i	$-0.312424\pi$
$283$	−7.43684	−	12.8810i	−0.442075	−	0.765696i	−0.997843	+	0.0656414i	$0.979091\pi$
$284$	6.78461	−	2.13124i	0.402593	−	0.126466i
$285$	−30.6778	+	17.6396i	−1.81720	+	1.04488i
$286$	−5.72054	−	13.0197i	−0.338262	−	0.769871i
$287$	3.24528	−	0.0335656i	0.191563	−	0.00198132i
$288$	0.475354	−	16.9639i	0.0280105	−	0.999608i
$289$	−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	$0.619975\pi$
$294$	−7.19302	−	15.5647i	−0.419505	−	0.907753i
$295$	−16.6384	+	9.60618i	−0.968725	+	0.559294i
$296$	−2.12333	−	10.7645i	−0.123416	−	0.625674i
$297$	−0.0619566	+	11.6793i	−0.00359509	+	0.677700i
$298$	15.3643	−	20.9309i	0.890032	−	1.21250i
$299$	1.92771	−	3.33889i	0.111482	−	0.193093i
$300$	−4.82108	−	15.4429i	−0.278345	−	0.891596i
$301$	1.26947	−	2.25227i	0.0731711	−	0.129818i
$302$	−16.2075	−	11.8971i	−0.932640	−	0.684603i
$303$	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
$306$	13.1190	−	5.70890i	0.749964	−	0.326356i
$307$	21.7954			1.24393			0.621963	−	0.783046i	$-0.286335\pi$
$307$	21.7954			1.24393			0.621963	+	0.783046i	$0.286335\pi$
$308$	7.95360	−	8.84317i	0.453199	−	0.503886i
$309$	−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	0.898497	−	0.438979i	$-0.144660\pi$
$311$	1.21827	+	2.11010i	0.0690816	+	0.119653i	−0.829416	+	0.558632i	$0.811326\pi$
$312$	14.3954	+	16.5266i	0.814976	+	0.935635i
$313$	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	$-0.258319\pi$
$318$	1.94848	+	4.45603i	0.109265	+	0.249882i
$319$	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
$322$	3.20861	+	0.319578i	0.178809	+	0.0178094i
$323$			22.1563i			1.23281i
$324$	−5.27283	−	17.2104i	−0.292935	−	0.956132i
$325$	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
$328$	−2.28346	−	2.61219i	−0.126083	−	0.144234i
$329$	−0.314337	−	30.3916i	−0.0173300	−	1.67554i
$330$	10.1556	−	13.7839i	0.559049	−	0.758780i
$331$	2.57374	+	1.48595i	0.141465	+	0.0816751i	0.569062	−	0.822294i	$-0.307306\pi$
$331$	2.57374	+	1.48595i	0.141465	+	0.0816751i	−0.427597	+	0.903970i	$0.640640\pi$
$332$	−4.01124	+	4.36816i	−0.220146	+	0.239734i
$333$	−5.78306	−	10.0989i	−0.316910	−	0.553415i
$334$	2.15455	+	4.90366i	0.117892	+	0.268317i
$335$	−18.3106	−	31.7148i	−1.00041	−	1.73277i
$336$	−7.63948	+	16.6625i	−0.416768	+	0.909013i
$337$	−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
$342$	27.6965	+	3.14735i	1.49765	+	0.170189i
$343$	0.574547	+	18.5113i	0.0310226	+	0.999519i
$344$	−2.71165	+	0.534882i	−0.146202	+	0.0288389i
$345$	4.64166	+	0.00820767i	0.249898	+	0.000441886i
$346$	3.66578	−	1.61065i	0.197074	−	0.0865893i
$347$	−9.48779	+	5.47778i	−0.509331	+	0.294063i	−0.732559	−	0.680704i	$-0.761674\pi$
$347$	−9.48779	+	5.47778i	−0.509331	+	0.294063i	0.223227	+	0.974766i	$0.428341\pi$
$348$	−4.21588	+	4.57474i	−0.225995	+	0.245232i
$349$	−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	$0.372734\pi$
$350$	−1.73186	+	17.3881i	−0.0925719	+	0.929436i
$351$	20.0701	+	11.7299i	1.07126	+	0.626095i
$352$	−12.7112	−	0.311202i	−0.677507	−	0.0165871i
$353$		−	6.32901i		−	0.336859i	−0.985714	−	0.168430i	$-0.946130\pi$
$353$		−	6.32901i		−	0.336859i	0.985714	−	0.168430i	$-0.0538696\pi$
$354$	15.0397	+	1.68214i	0.799352	+	0.0894047i
$355$	−11.0572			−0.586858
$356$	22.3083	+	20.4855i	1.18234	+	1.08573i
$357$	−15.4531	+	0.132503i	−0.817866	+	0.00701278i
$358$	12.4188	−	5.45652i	0.656354	−	0.288386i
$359$	5.17029	−	2.98507i	0.272878	−	0.157546i	−0.357317	−	0.933983i	$-0.616308\pi$
$359$	5.17029	−	2.98507i	0.272878	−	0.157546i	0.630195	+	0.776437i	$0.282975\pi$
$360$	−8.60984	+	24.9424i	−0.453778	+	1.31458i
$361$	−12.0833	+	20.9289i	−0.635964	+	1.10152i
$362$	−8.06609	−	5.92090i	−0.423944	−	0.311196i
$363$	−10.3019	−	0.0182164i	−0.540709	−	0.000956116i
$364$	−7.32779	−	22.5104i	−0.384081	−	1.17986i
$365$	−6.99742	+	12.1199i	−0.366262	+	0.634384i
$366$	−29.5979	+	12.9422i	−1.54711	+	0.676500i
$367$	−5.23126			−0.273069			−0.136535	−	0.990635i	$-0.543597\pi$
$367$	−5.23126			−0.273069			−0.136535	+	0.990635i	$0.543597\pi$
$368$	−1.97117	−	2.82792i	−0.102754	−	0.147415i
$369$	−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
$372$	−15.2016	+	16.4955i	−0.788164	+	0.855254i
$373$	11.5732			0.599235			0.299618	−	0.954059i	$-0.403141\pi$
$373$	11.5732			0.599235			0.299618	+	0.954059i	$0.403141\pi$
$374$	−4.31205	−	9.81405i	−0.222971	−	0.507472i
$375$	0.00314132	−	1.77650i	0.000162217	−	0.0917381i
$376$	−24.4627	+	21.3842i	−1.26157	+	1.10281i
$377$		−	8.03435i		−	0.413790i
$378$	−2.02952	+	19.3360i	−0.104387	+	0.994537i
$379$		−	7.65108i		−	0.393009i	−0.980503	−	0.196505i	$-0.937041\pi$
$379$		−	7.65108i		−	0.393009i	0.980503	−	0.196505i	$-0.0629591\pi$
$380$	−30.0973	−	27.6381i	−1.54396	−	1.41781i
$381$	−0.0245168	+	13.8649i	−0.00125603	+	0.710319i
$382$	−23.1368	+	10.1657i	−1.18378	+	0.520124i
$383$	−9.39848			−0.480240			−0.240120	−	0.970743i	$-0.577187\pi$
$383$	−9.39848			−0.480240			−0.240120	+	0.970743i	$0.577187\pi$
$384$	18.8429	−	5.38007i	0.961573	−	0.274551i
$385$	−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
$388$	−4.87622	−	4.47779i	−0.247552	−	0.227325i
$389$	−11.5594			−0.586087			−0.293043	−	0.956099i	$-0.594668\pi$
$389$	−11.5594			−0.586087			−0.293043	+	0.956099i	$0.594668\pi$
$390$	−13.6528	−	31.2231i	−0.691338	−	1.58104i
$391$	1.45308	−	2.51680i	0.0734853	−	0.127280i
$392$	14.6338	−	13.3361i	0.739118	−	0.673576i
$393$	7.04537	+	0.0124581i	0.355392	+	0.000628427i
$394$	−6.39127	+	8.70687i	−0.321987	+	0.438646i
$395$	17.4803	−	30.2768i	0.879529	−	1.52339i
$396$	−12.8806	+	3.99617i	−0.647274	+	0.200815i
$397$	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	$0.0762042\pi$
$398$	13.6743	+	31.1222i	0.685432	+	1.56002i
$399$	−26.2025	−	14.8299i	−1.31177	−	0.742426i
$400$	15.3251	−	10.6822i	0.766255	−	0.534110i
$401$	−2.28233			−0.113974			−0.0569871	−	0.998375i	$-0.518149\pi$
$401$	−2.28233			−0.113974			−0.0569871	+	0.998375i	$0.518149\pi$
$402$	−3.20637	+	28.6676i	−0.159919	+	1.42981i
$403$		−	28.9702i		−	1.44311i
$404$	21.6584	−	6.80352i	1.07754	−	0.338488i
$405$	−0.197953	+	27.9865i	−0.00983637	+	1.39066i
$406$	6.12362	−	2.76648i	0.303910	−	0.137298i
$407$	−7.55107	+	4.35961i	−0.374293	+	0.216098i
$408$	10.8510	+	12.4575i	0.537204	+	0.616738i
$409$	−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	$0.551195\pi$
$410$	2.17003	+	4.93889i	0.107170	+	0.243914i
$411$	26.1244	+	0.0461948i	1.28862	+	0.00227862i
$412$	−8.92850	−	28.4230i	−0.439875	−	1.40030i
$413$	−14.2399	−	8.02618i	−0.700698	−	0.394942i
$414$	−2.93972	−	2.17394i	−0.144479	−	0.106843i
$415$	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	−0.597555	−	0.801828i	$-0.703861\pi$
$419$	8.09827	−	14.0266i	0.395626	−	0.685245i	0.993181	+	0.116584i	$0.0371943\pi$
$420$	19.0965	−	21.1570i	0.931814	−	1.03236i
$421$	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	$0.721681\pi$
$422$	−12.0596	+	5.29868i	−0.587051	+	0.257936i
$423$	−17.3368	+	29.7844i	−0.842942	+	1.44817i
$424$	−4.22807	+	3.69599i	−0.205333	+	0.179493i
$425$	13.6391	+	7.87455i	0.661594	+	0.381972i
$426$	7.01206	+	5.16630i	0.339736	+	0.250308i
$427$	34.8903	−	0.360867i	1.68846	−	0.0174636i
$428$	−12.3261	−	11.3189i	−0.595804	−	0.547121i
$429$	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	$0.0665861\pi$
$431$	34.1956	+	19.7428i	1.64714	+	0.950978i	0.668942	+	0.743314i	$0.266747\pi$
$432$	17.1139	−	11.7947i	0.823393	−	0.567471i
$433$			9.21684i			0.442933i	0.975168	+	0.221466i	$0.0710843\pi$
$433$			9.21684i			0.442933i	−0.975168	+	0.221466i	$0.928916\pi$
$434$	22.0805	−	9.97533i	1.05990	−	0.478831i
$435$	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
$438$	10.1003	−	4.41652i	0.482610	−	0.211030i
$439$	−0.0382133	+	0.0661874i	−0.00182382	+	0.00315895i	−0.866936	−	0.498420i	$-0.833914\pi$
$439$	−0.0382133	+	0.0661874i	−0.00182382	+	0.00315895i	0.865112	+	0.501579i	$0.167247\pi$
$440$	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	−0.361376	−	0.932420i	$-0.617693\pi$
$443$	−28.4050	−	16.3997i	−1.34956	−	0.779171i	−0.988188	+	0.153249i	$0.951026\pi$
$444$	9.10648	−	9.88164i	0.432175	−	0.468962i
$445$	−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
$448$	−21.0041	−	2.61262i	−0.992353	−	0.123435i
$449$	−4.56654			−0.215508			−0.107754	−	0.994178i	$-0.534366\pi$
$449$	−4.56654			−0.215508			−0.107754	+	0.994178i	$0.534366\pi$
$450$	11.7810	−	15.9310i	0.555364	−	0.750994i
$451$	−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
$454$	−18.2285	+	24.8328i	−0.855504	+	1.16546i
$455$	0.380681	+	36.8060i	0.0178466	+	1.72549i
$456$	6.17310	+	31.5894i	0.289082	+	1.47931i
$457$	−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	$0.262702\pi$
$458$	−9.69066	−	7.11342i	−0.452815	−	0.332388i
$459$	15.1285	+	8.84180i	0.706140	+	0.412700i
$460$	1.60626	+	5.11338i	0.0748923	+	0.238413i
$461$	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	$0.288216\pi$
$462$	14.4925	+	1.46934i	0.674253	+	0.0683600i
$463$	−22.5045	−	12.9930i	−1.04587	−	0.603835i	−0.124382	−	0.992234i	$-0.539695\pi$
$463$	−22.5045	−	12.9930i	−1.04587	−	0.603835i	−0.921491	+	0.388399i	$0.873028\pi$
$464$	−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	0.966522	−	0.256582i	$-0.0825963\pi$
$467$	5.64144	+	9.77126i	0.261055	+	0.452160i	−0.705468	+	0.708742i	$0.749263\pi$
$468$	−5.93034	+	26.1794i	−0.274130	+	1.21015i
$469$	15.2989	−	27.1429i	0.706437	−	1.25334i
$470$	46.2519	−	20.3220i	2.13344	−	0.937382i
$471$	12.6187	−	7.25570i	0.581440	−	0.334325i
$472$	3.38177	+	17.1443i	0.155658	+	0.789131i
$473$	1.09822	+	1.90217i	0.0504960	+	0.0874617i
$474$	−25.2316	+	11.0329i	−1.15892	+	0.506760i
$475$	15.3418	+	26.5728i	0.703931	+	1.21924i
$476$	−5.52358	−	16.9680i	−0.253173	−	0.777726i
$477$	−2.99644	+	5.14786i	−0.137198	+	0.235704i
$478$	28.2118	−	12.3956i	1.29038	−	0.566961i
$479$	15.8884			0.725958			0.362979	−	0.931797i	$-0.381760\pi$
$479$	15.8884			0.725958			0.362979	+	0.931797i	$0.381760\pi$
$480$	−30.4581	−	0.799585i	−1.39022	−	0.0364959i
$481$			17.3546i			0.791300i
$482$	5.52994	+	4.05925i	0.251882	+	0.184894i
$483$	2.00384	+	3.40302i	0.0911777	+	0.154843i
$484$	−3.56500	−	11.3488i	−0.162045	−	0.515857i
$485$	5.14675	+	8.91443i	0.233702	+	0.404784i
$486$	13.2017	−	17.6554i	0.598843	−	0.800867i
$487$	4.87135	+	2.81247i	0.220742	+	0.127445i	0.606294	−	0.795241i	$-0.292656\pi$
$487$	4.87135	+	2.81247i	0.220742	+	0.127445i	−0.385552	+	0.922686i	$0.625989\pi$
$488$	−24.5496	−	28.0838i	−1.11131	−	1.27129i
$489$	32.9492	−	18.9456i	1.49001	−	0.856751i
$490$	−27.9217	+	12.9636i	−1.26137	+	0.585636i
$491$	8.97587	+	5.18222i	0.405075	+	0.233870i	0.688672	−	0.725073i	$-0.258194\pi$
$491$	8.97587	+	5.18222i	0.405075	+	0.233870i	−0.283596	+	0.958944i	$0.591528\pi$
$492$	0.931464	−	4.14595i	0.0419936	−	0.186914i
$493$		−	6.05617i		−	0.272756i
$494$	−33.5096	−	24.5977i	−1.50767	−	1.10670i
$495$	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
$498$	−7.21835	−	0.807347i	−0.323462	−	0.0361781i
$499$			11.5415i			0.516667i	0.966056	+	0.258334i	$0.0831734\pi$
$499$			11.5415i			0.516667i	−0.966056	+	0.258334i	$0.916827\pi$
$500$	1.95704	−	0.614764i	0.0875216	−	0.0274931i
$501$	−3.28998	+	5.67521i	−0.146985	+	0.253550i
$502$	12.5684	−	17.1220i	0.560955	−	0.764192i
$503$	−11.7098			−0.522114			−0.261057	−	0.965323i	$-0.584071\pi$
$503$	−11.7098			−0.522114			−0.261057	+	0.965323i	$0.584071\pi$
$504$	−21.9955	+	4.49441i	−0.979756	+	0.200197i
$505$	−35.2978			−1.57073
$506$	−1.62099	+	2.20829i	−0.0720619	+	0.0981705i
$507$	−6.05637	−	10.5329i	−0.268973	−	0.467783i
$508$	−15.2739	+	4.79799i	−0.677672	+	0.212876i
$509$			27.9926i			1.24075i	0.784305	+	0.620376i	$0.213020\pi$
$509$			27.9926i			1.24075i	−0.784305	+	0.620376i	$0.786980\pi$
$510$	−10.2913	−	23.5355i	−0.455706	−	1.04217i
$511$	−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
$514$	27.2447	+	19.9989i	1.20171	+	0.882115i
$515$			46.3226i			2.04122i
$516$	−2.48925	−	2.29398i	−0.109583	−	0.100987i
$517$	22.3613	+	12.9103i	0.983451	+	0.567796i
$518$	−13.2273	+	5.97572i	−0.581174	+	0.262558i
$519$	4.24256	+	2.45945i	0.186228	+	0.107958i
$520$	29.6258	−	25.8976i	1.29918	−	1.13568i
$521$	−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	$0.764086\pi$
$522$	−7.57052	−	0.860292i	−0.331352	−	0.0376540i
$523$	5.47135	+	9.47665i	0.239245	+	0.414385i	0.960498	−	0.278287i	$-0.0897667\pi$
$523$	5.47135	+	9.47665i	0.239245	+	0.414385i	−0.721253	+	0.692672i	$0.756433\pi$
$524$	2.43808	+	7.76138i	0.106508	+	0.339058i
$525$	−18.4417	+	10.8592i	−0.804863	+	0.473936i
$526$	5.68513	+	4.17316i	0.247883	+	0.181959i
$527$		−	21.8373i		−	0.951246i
$528$	−8.88229	−	12.7910i	−0.386552	−	0.556658i
$529$	22.2573			0.967710
$530$	7.99406	−	3.51240i	0.347240	−	0.152569i
$531$	9.21051	+	16.0842i	0.399702	+	0.697994i
$532$	7.20948	−	34.0101i	0.312570	−	1.47453i
$533$	2.74392	+	4.75262i	0.118853	+	0.205859i
$534$	−4.12315	+	36.8643i	−0.178426	+	1.59528i
$535$	13.0099	+	22.5339i	0.562469	+	0.974225i
$536$	−32.6792	+	6.44607i	−1.41153	+	0.278428i
$537$	14.3728	+	8.33206i	0.620232	+	0.359555i
$538$	−9.63538	+	4.23355i	−0.415411	+	0.182521i
$539$	−13.7858	−	7.58346i	−0.593797	−	0.326643i
$540$	−30.8824	+	9.52136i	−1.32897	+	0.409734i
$541$	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
$546$	16.9555	−	23.5187i	0.725630	−	1.00651i
$547$	28.3909	−	16.3915i	1.21391	−	0.700849i	0.250298	−	0.968169i	$-0.419471\pi$
$547$	28.3909	−	16.3915i	1.21391	−	0.700849i	0.963608	+	0.267320i	$0.0861379\pi$
$548$	9.04043	+	28.7793i	0.386188	+	1.22939i
$549$	−34.1932	−	19.9030i	−1.45933	−	0.849441i
$550$	−11.9672	−	8.78452i	−0.510283	−	0.374573i
$551$	5.89956	−	10.2183i	0.251330	−	0.435316i
$552$	1.37051	−	3.99320i	0.0583328	−	0.169962i
$553$	29.7432	−	0.307631i	1.26481	−	0.0130818i
$554$	−9.96497	+	13.5753i	−0.423371	+	0.576761i
$555$	−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	$0.218857\pi$
$558$	−27.2977	−	3.10203i	−1.15560	−	0.131319i
$559$	4.37173			0.184904
$560$	29.9397	+	13.6629i	1.26518	+	0.577361i
$561$	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	$0.0190425\pi$
$563$	13.0712	+	22.6399i	0.550883	+	0.954158i	−0.447328	+	0.894370i	$0.647624\pi$
$564$	−38.8262	−	8.72302i	−1.63488	−	0.367305i
$565$	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	$0.905533\pi$
$570$	5.56275	−	49.7356i	0.232998	−	2.08319i
$571$	−1.08102	+	0.624125i	−0.0452391	+	0.0261188i	−0.522449	−	0.852671i	$-0.674981\pi$
$571$	−1.08102	+	0.624125i	−0.0452391	+	0.0261188i	0.477210	+	0.878789i	$0.341648\pi$
$572$	19.6302	+	4.37383i	0.820779	+	0.182879i
$573$	−26.7771	−	15.5230i	−1.11863	−	0.648482i
$574$	−2.67753	+	3.72784i	−0.111758	+	0.155597i
$575$		−	4.02466i		−	0.167840i
$576$	18.9417	+	14.7381i	0.789239	+	0.614087i
$577$	−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
$580$	8.22677	+	7.55457i	0.341598	+	0.313686i
$581$	6.83445	+	3.85218i	0.283541	+	0.159815i
$582$	0.901248	−	8.05790i	0.0373579	−	0.334011i
$583$	3.86488	+	2.23139i	0.160067	+	0.0924146i
$584$	8.37755	+	9.58359i	0.346666	+	0.396572i
$585$	20.9958	−	36.0707i	0.868071	−	1.49134i
$586$	−6.47865	+	2.84656i	−0.267630	+	0.117590i
$587$	−12.2337	−	21.1895i	−0.504940	−	0.874582i	−0.999984	−	0.00571398i	$-0.998181\pi$
$587$	−12.2337	−	21.1895i	−0.504940	−	0.874582i	0.495043	−	0.868868i	$-0.335152\pi$
$588$	23.7638	+	4.82493i	0.980004	+	0.198977i
$589$	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	$0.0329331\pi$
$594$	−13.2630	−	9.84437i	−0.544187	−	0.403920i
$595$	0.286951	+	27.7438i	0.0117639	+	1.13738i
$596$	11.0045	+	35.0319i	0.450763	+	1.43496i
$597$	−20.8806	+	36.0190i	−0.854586	+	1.47416i
$598$	2.19327	+	4.99180i	0.0896896	+	0.204130i
$599$	−19.6734	+	11.3585i	−0.803834	+	0.464094i	−0.844810	−	0.535066i	$-0.820287\pi$
$599$	−19.6734	+	11.3585i	−0.803834	+	0.464094i	0.0409761	+	0.999160i	$0.486953\pi$
$600$	21.6400	+	7.42710i	0.883450	+	0.303210i
$601$	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	$0.298711\pi$
$602$	1.50532	+	3.33204i	0.0613524	+	0.135804i
$603$	−30.6584	+	17.5564i	−1.24851	+	0.714951i
$604$	27.1264	−	8.52119i	1.10376	−	0.346722i
$605$			18.4958i			0.751962i
$606$	22.3845	+	16.4923i	0.909307	+	0.669953i
$607$	−24.9054			−1.01088			−0.505440	−	0.862862i	$-0.668670\pi$
$607$	−24.9054			−1.01088			−0.505440	+	0.862862i	$0.668670\pi$
$608$	−32.6321	+	17.7898i	−1.32341	+	0.721471i
$609$	7.16217	+	4.05360i	0.290226	+	0.164260i
$610$	23.3301	+	53.0984i	0.944609	+	2.14989i
$611$	44.5075	−	25.6964i	1.80058	−	1.03957i
$612$	−4.47020	+	19.7337i	−0.180697	+	0.797686i
$613$	−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	$0.328742\pi$
$614$	−18.2393	+	24.8476i	−0.736080	+	1.00277i
$615$	−3.31361	+	5.71598i	−0.133618	+	0.230490i
$616$	3.42564	+	16.4678i	0.138023	+	0.663506i
$617$	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	$0.00537652\pi$
$618$	21.6434	−	29.3759i	0.870625	−	1.18167i
$619$	−35.5255			−1.42789			−0.713946	−	0.700201i	$-0.753094\pi$
$619$	−35.5255			−1.42789			−0.713946	+	0.700201i	$0.753094\pi$
$620$	29.6640	+	27.2402i	1.19133	+	1.09399i
$621$	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
$624$	−30.8877	+	2.58107i	−1.23650	+	0.103325i
$625$	−26.5404			−1.06161
$626$	−0.411510	+	0.180807i	−0.0164473	+	0.00722652i
$627$	22.1742	−	12.7501i	0.885552	−	0.509188i
$628$	12.3799	+	11.3684i	0.494013	+	0.453648i
$629$			13.0816i			0.521597i
$630$	34.7219	+	3.58236i	1.38335	+	0.142725i
$631$		−	29.1706i		−	1.16126i	−0.814166	−	0.580632i	$-0.802806\pi$
$631$		−	29.1706i		−	1.16126i	0.814166	−	0.580632i	$-0.197194\pi$
$632$	−20.9280	−	23.9408i	−0.832471	−	0.952315i
$633$	−13.9571	−	8.09105i	−0.554743	−	0.321590i
$634$	19.6974	+	44.8303i	0.782282	+	1.78044i
$635$	24.8928			0.987839
$636$	−6.71062	−	1.50766i	−0.266093	−	0.0597828i
$637$	−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
$640$	−9.71908	−	33.8130i	−0.384180	−	1.33658i
$641$	2.26382			0.0894154			0.0447077	−	0.999000i	$-0.485764\pi$
$641$	2.26382			0.0894154			0.0447077	+	0.999000i	$0.485764\pi$
$642$	2.27817	−	20.3688i	0.0899123	−	0.803890i
$643$	5.41789	−	9.38406i	0.213661	−	0.370071i	−0.739197	−	0.673489i	$-0.764795\pi$
$643$	5.41789	−	9.38406i	0.213661	−	0.370071i	0.952857	+	0.303418i	$0.0981280\pi$
$644$	−3.04944	+	3.39050i	−0.120165	+	0.133605i
$645$	2.62357	+	4.56277i	0.103303	+	0.179659i
$646$	−25.2590	−	18.5414i	−0.993803	−	0.729500i
$647$	−11.2094	+	19.4153i	−0.440687	+	0.763293i	−0.997741	−	0.0671839i	$-0.978599\pi$
$647$	−11.2094	+	19.4153i	−0.440687	+	0.763293i	0.557053	+	0.830477i	$0.311932\pi$
$648$	24.0331	+	8.39118i	0.944108	+	0.329637i
$649$	12.0264	−	6.94343i	0.472076	−	0.272553i
$650$	−27.0517	+	11.8858i	−1.06105	+	0.466201i
$651$	25.8252	+	14.6164i	1.01217	+	0.572862i
$652$	32.3257	+	29.6844i	1.26597	+	1.16253i
$653$	−32.4279			−1.26900			−0.634502	−	0.772922i	$-0.718795\pi$
$653$	−32.4279			−1.26900			−0.634502	+	0.772922i	$0.718795\pi$
$654$	−2.76496	−	6.32327i	−0.108118	−	0.247259i
$655$		−	12.6491i		−	0.494243i
$656$	4.88889	−	0.417237i	0.190879	−	0.0162904i
$657$	11.6684	+	6.79190i	0.455229	+	0.264977i
$658$	34.9106	+	25.0747i	1.36096	+	0.977512i
$659$	−27.6786	+	15.9802i	−1.07820	+	0.622502i	−0.930411	−	0.366517i	$-0.880550\pi$
$659$	−27.6786	+	15.9802i	−1.07820	+	0.622502i	−0.147793	+	0.989018i	$0.547217\pi$
$660$	7.21553	+	23.1128i	0.280864	+	0.899666i
$661$	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	$0.258938\pi$
$662$	−3.84786	+	1.69065i	−0.149551	+	0.0657092i
$663$	−13.0255	−	22.6533i	−0.505870	−	0.879782i
$664$	−1.62309	−	8.22845i	−0.0629880	−	0.319326i
$665$	−26.5422	+	47.0905i	−1.02926	+	1.82609i
$666$	16.3526	+	1.85827i	0.633652	+	0.0720065i
$667$	−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
$672$	−12.6028	−	22.6532i	−0.486165	−	0.873867i
$673$	−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	$-0.399626\pi$
$674$	−18.3006	−	41.6513i	−0.704911	−	1.60435i
$675$	24.2666	+	0.128730i	0.934021	+	0.00495483i
$676$	9.48925	−	10.3336i	0.364971	−	0.397446i
$677$	−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	$0.948882\pi$
$678$	−0.314982	−	0.720341i	−0.0120968	−	0.0276645i
$679$	−4.30022	+	7.62936i	−0.165027	+	0.292788i
$680$	22.3315	−	19.5212i	0.856373	−	0.748603i
$681$	−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	0.737740	−	0.675085i	$-0.235893\pi$
$683$	13.6413	+	7.87579i	0.521968	+	0.301359i	−0.215771	+	0.976444i	$0.569227\pi$
$684$	−26.7657	+	28.9412i	−1.02341	+	1.10659i
$685$		−	46.9033i		−	1.79208i
$686$	−21.5845	−	14.8361i	−0.824099	−	0.566446i
$687$	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
$690$	−3.89370	+	5.28480i	−0.148231	+	0.201189i
$691$	−6.93542	+	12.0125i	−0.263836	+	0.456977i	−0.967258	−	0.253795i	$-0.918321\pi$
$691$	−6.93542	+	12.0125i	−0.263836	+	0.456977i	0.703422	+	0.710772i	$0.251654\pi$
$692$	−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
$696$	−1.68735	−	8.63462i	−0.0639588	−	0.327294i
$697$	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
$700$	−18.3739	−	16.5256i	−0.694467	−	0.624608i
$701$	−18.9982			−0.717551			−0.358776	−	0.933424i	$-0.616806\pi$
$701$	−18.9982			−0.717551			−0.358776	+	0.933424i	$0.616806\pi$
$702$	−30.1681	+	13.0646i	−1.13862	+	0.493093i
$703$	−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
$706$	7.21532	+	5.29640i	0.271552	+	0.199333i
$707$	−15.2840	−	25.8515i	−0.574815	−	0.972247i
$708$	−14.5036	+	15.7382i	−0.545079	+	0.591477i
$709$	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	$0.118941\pi$
$710$	9.25320	−	12.6057i	0.347267	−	0.473084i
$711$	−29.1490	−	16.9669i	−1.09317	−	0.636308i
$712$	−42.0230	+	8.28916i	−1.57488	+	0.310649i
$713$	−4.83284	+	2.79024i	−0.180991	+	0.104495i
$714$	12.7808	−	17.7281i	0.478310	−	0.663456i
$715$	−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	0.917855	−	0.396915i	$-0.129919\pi$
$719$	3.08870	+	5.34978i	0.115189	+	0.199513i	−0.802666	+	0.596428i	$0.796586\pi$
$720$	−21.2302	−	30.6885i	−0.791204	−	1.14369i
$721$	−33.9258	+	20.0578i	−1.26346	+	0.746990i
$722$	−13.7479	−	31.2897i	−0.511645	−	1.16448i
$723$	−0.0148562	+	8.40157i	−0.000552508	+	0.312458i
$724$	13.5001	−	4.24078i	0.501728	−	0.157607i
$725$	−4.19351	−	7.26338i	−0.155743	−	0.269755i
$726$	8.64185	−	11.7293i	0.320729	−	0.435316i
$727$	−13.6339	−	23.6147i	−0.505655	−	0.875819i	−0.999979	−	0.00654173i	$-0.997918\pi$
$727$	−13.6339	−	23.6147i	−0.505655	−	0.875819i	0.494324	−	0.869278i	$-0.335416\pi$
$728$	31.7950	+	10.4837i	1.17840	+	0.388553i
$729$	26.9985	+	0.286453i	0.999944	+	0.0106094i
$730$	−7.96139	−	18.1198i	−0.294664	−	0.670644i
$731$	3.29534			0.121883
$732$	10.0142	−	44.5734i	0.370137	−	1.64748i
$733$		−	10.9454i		−	0.404276i	−0.979357	−	0.202138i	$-0.935211\pi$
$733$		−	10.9454i		−	0.404276i	0.979357	−	0.202138i	$-0.0647890\pi$
$734$	4.37775	−	5.96384i	0.161586	−	0.220129i
$735$	−33.0025	−	18.2305i	−1.21732	−	0.672442i
$736$	4.87350	+	0.119316i	0.179640	+	0.00439804i
$737$	13.2350	+	22.9237i	0.487518	+	0.844407i
$738$	4.77205	−	2.07662i	0.175662	−	0.0764414i
$739$	5.56689	+	3.21404i	0.204781	+	0.118230i	0.598884	−	0.800836i	$-0.295611\pi$
$739$	5.56689	+	3.21404i	0.204781	+	0.118230i	−0.394102	+	0.919067i	$0.628944\pi$
$740$	−17.7702	−	16.3182i	−0.653245	−	0.599869i
$741$	0.0900236	−	50.9108i	0.00330710	−	1.87025i
$742$	6.03386	+	4.33384i	0.221510	+	0.159100i
$743$	−25.1981	−	14.5481i	−0.924427	−	0.533718i	−0.0393825	−	0.999224i	$-0.512539\pi$
$743$	−25.1981	−	14.5481i	−0.924427	−	0.533718i	−0.885045	+	0.465506i	$0.845872\pi$
$744$	−6.08422	−	31.1346i	−0.223058	−	1.14145i
$745$		−	57.0934i		−	2.09174i
$746$	−9.68494	+	13.1939i	−0.354591	+	0.483061i
$747$	−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
$750$	2.02265	+	1.49024i	0.0738568	+	0.0544157i
$751$		−	11.5569i		−	0.421718i	−0.977516	−	0.210859i	$-0.932374\pi$
$751$		−	11.5569i		−	0.421718i	0.977516	−	0.210859i	$-0.0676261\pi$
$752$	−3.90736	−	45.7838i	−0.142487	−	1.66956i
$753$	26.0132	+	0.0459983i	0.947975	+	0.00167627i
$754$	9.15948	+	6.72351i	0.333569	+	0.244856i
$755$	−44.2094			−1.60894
$756$	−20.3454	−	18.4950i	−0.739956	−	0.672655i
$757$	10.5542			0.383600			0.191800	−	0.981434i	$-0.438567\pi$
$757$	10.5542			0.383600			0.191800	+	0.981434i	$0.438567\pi$
$758$	8.72253	+	6.40277i	0.316817	+	0.232559i
$759$	−3.35503	−	0.00593257i	−0.121780	−	0.000215339i
$760$	56.6953	−	11.1833i	2.05656	−	0.405662i
$761$			36.2016i			1.31231i	0.754628	+	0.656153i	$0.227817\pi$
$761$			36.2016i			1.31231i	−0.754628	+	0.656153i	$0.772183\pi$
$762$	−15.7860	−	11.6307i	−0.571866	−	0.421336i
$763$	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
$766$	7.86507	−	10.7146i	0.284177	−	0.387136i
$767$		−	27.6401i		−	0.998025i
$768$	−9.63509	+	25.9839i	−0.347676	+	0.937615i
$769$	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	$0.592796\pi$
$770$	2.59202	−	26.0242i	0.0934098	−	0.937848i
$771$	−0.0731928	+	41.3925i	−0.00263598	+	1.49071i
$772$	18.1191	−	19.7313i	0.652121	−	0.710146i
$773$	−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	$-0.686546\pi$
$774$	0.468110	−	4.11934i	0.0168259	−	0.148067i
$775$	−15.1209	−	26.1902i	−0.543160	−	0.940780i
$776$	9.18549	−	1.81187i	0.329740	−	0.0650422i
$777$	−15.4706	−	8.75595i	−0.555004	−	0.314118i
$778$	9.67346	−	13.1782i	0.346810	−	0.472462i
$779$			8.05936i			0.288757i
$780$	47.0208	+	10.5641i	1.68362	+	0.378255i
$781$	7.99227			0.285986
$782$	1.65326	+	3.76274i	0.0591203	+	0.134555i
$783$	−4.62288	−	8.10606i	−0.165208	−	0.289687i
$784$	2.95751	+	27.8434i	0.105625	+	0.994406i
$785$	−13.0668	−	22.6323i	−0.466373	−	0.807782i
$786$	−5.91009	+	8.02158i	−0.210806	+	0.286120i
$787$	−5.30964	−	9.19657i	−0.189268	−	0.327822i	0.755738	−	0.654874i	$-0.227278\pi$
$787$	−5.30964	−	9.19657i	−0.189268	−	0.327822i	−0.945007	+	0.327051i	$0.893945\pi$
$788$	−4.57767	−	14.5726i	−0.163073	−	0.519127i
$789$	−0.0152731	+	8.63735i	−0.000543737	+	0.307498i
$790$	19.8884	+	45.2652i	0.707598	+	1.61046i
$791$	0.00878261	+	0.849144i	0.000312274	+	0.0301921i
$792$	6.22326	−	18.0286i	0.221134	−	0.640617i
$793$	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	$0.488286\pi$
$798$	38.8342	−	17.4615i	1.37471	−	0.618132i
$799$	33.5491	−	19.3696i	1.18688	−	0.685246i
$800$	−0.646598	+	26.4106i	−0.0228607	+	0.933755i
$801$	−39.4244	+	22.5762i	−1.39299	+	0.797690i
$802$	1.90996	−	2.60195i	0.0674430	−	0.0918780i
$803$	5.05779	−	8.76035i	0.178486	−	0.309146i
$804$	−29.9989	−	27.6457i	−1.05798	−	0.974988i
$805$	6.10335	−	3.60845i	0.215115	−	0.127181i
$806$	33.0271	+	24.2435i	1.16333	+	0.853942i
$807$	−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	$0.803204\pi$
$810$	−31.7401	−	23.6460i	−1.11523	−	0.830837i
$811$	27.3735			0.961213			0.480607	−	0.876936i	$-0.340416\pi$
$811$	27.3735			0.961213			0.480607	+	0.876936i	$0.340416\pi$
$812$	−1.97063	+	9.29629i	−0.0691555	+	0.326236i
$813$	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
$816$	−23.2826	+	1.94557i	−0.815055	+	0.0681085i
$817$	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	$0.0995829\pi$
$822$	−21.9147	+	29.7442i	−0.764364	+	1.03745i
$823$	−18.9113	+	10.9184i	−0.659205	+	0.380592i	−0.791974	−	0.610555i	$-0.790946\pi$
$823$	−18.9113	+	10.9184i	−0.659205	+	0.380592i	0.132769	+	0.991147i	$0.457613\pi$
$824$	39.8751	+	13.6068i	1.38912	+	0.474016i
$825$	0.0321499	−	18.1816i	0.00111932	−	0.633003i
$826$	21.0667	−	9.51734i	0.733005	−	0.331151i
$827$			20.0823i			0.698331i	0.937061	+	0.349166i	$0.113535\pi$
$827$			20.0823i			0.698331i	−0.937061	+	0.349166i	$0.886465\pi$
$828$	4.93846	−	1.53215i	0.171623	−	0.0532458i
$829$	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
$832$	−13.5907	−	33.1095i	−0.471173	−	1.14787i
$833$	−20.1948	+	12.2233i	−0.699709	+	0.423511i
$834$	−7.97275	−	18.2331i	−0.276074	−	0.631361i
$835$	10.1996	+	5.88874i	0.352972	+	0.203788i
$836$	21.7546	+	19.9771i	0.752398	+	0.690921i
$837$	−16.6691	−	29.2287i	−0.576169	−	1.01029i
$838$	9.21390	+	20.9704i	0.318289	+	0.724412i
$839$	27.0448	+	46.8430i	0.933691	+	1.61720i	0.776951	+	0.629561i	$0.216765\pi$
$839$	27.0448	+	46.8430i	0.933691	+	1.61720i	0.156740	+	0.987640i	$0.449902\pi$
$840$	8.13899	+	39.4759i	0.280822	+	1.36205i
$841$	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
$846$	−19.4472	−	44.6895i	−0.668609	−	1.53646i
$847$	−13.5460	+	8.00873i	−0.465447	+	0.275183i
$848$	−0.675339	−	7.91315i	−0.0231912	−	0.271739i
$849$	12.8415	+	22.3333i	0.440720	+	0.766476i
$850$	−20.3911	+	8.95936i	−0.699410	+	0.307303i
$851$	2.89511	−	1.67149i	0.0992430	−	0.0572980i
$852$	−11.7578	+	3.67064i	−0.402816	+	0.125754i
$853$	−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	$0.492700\pi$
$854$	−28.7863	+	40.0783i	−0.985049	+	1.37145i
$855$	53.1895	−	30.4587i	1.81904	−	1.04167i
$856$	23.2191	−	4.58003i	0.793611	−	0.156542i
$857$		−	43.0094i		−	1.46917i	−0.678514	−	0.734587i	$-0.737376\pi$
$857$		−	43.0094i		−	1.46917i	0.678514	−	0.734587i	$-0.262624\pi$
$858$	9.86837	+	22.5683i	0.336901	+	0.770468i
$859$	13.0501			0.445265			0.222632	−	0.974902i	$-0.428535\pi$
$859$	13.0501			0.445265			0.222632	+	0.974902i	$0.428535\pi$
$860$	−4.11066	+	4.47643i	−0.140172	+	0.152645i
$861$	−5.62109	+	0.0481979i	−0.191566	+	0.00164258i
$862$	−51.1240	+	22.4626i	−1.74129	+	0.765080i
$863$	−44.0479	+	25.4311i	−1.49941	+	0.865684i	−1.00000		0.000682608i	$-0.999783\pi$
$863$	−44.0479	+	25.4311i	−1.49941	+	0.865684i	−0.499409	+	0.866367i	$0.666449\pi$
$864$	−0.875292	+	29.3808i	−0.0297781	+	0.999557i
$865$	4.40218	−	7.62480i	0.149679	−	0.259251i
$866$	−10.5076	−	7.71306i	−0.357061	−	0.262101i
$867$	4.85886	+	8.45027i	0.165016	+	0.286986i
$868$	−7.10567	+	33.5204i	−0.241182	+	1.13776i
$869$	−12.6349	+	21.8843i	−0.428609	+	0.742373i
$870$	−1.52052	+	13.5947i	−0.0515503	+	0.460902i
$871$	52.6854			1.78518
$872$	5.99979	−	5.24475i	0.203179	−	0.177610i
$873$	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
$876$	−3.41736	+	15.2107i	−0.115462	+	0.513921i
$877$	10.8044			0.364838			0.182419	−	0.983221i	$-0.441607\pi$
$877$	10.8044			0.364838			0.182419	+	0.983221i	$0.441607\pi$
$878$	−0.0434776	−	0.0989533i	−0.00146730	−	0.00333951i
$879$	−7.49800	−	4.34667i	−0.252901	−	0.146610i
$880$	−22.9365	+	15.9877i	−0.773190	+	0.538944i
$881$		−	43.3115i		−	1.45920i	−0.683873	−	0.729601i	$-0.739706\pi$
$881$		−	43.3115i		−	1.45920i	0.683873	−	0.729601i	$-0.260294\pi$
$882$	12.4110	+	26.9809i	0.417900	+	0.908493i
$883$		−	18.6655i		−	0.628143i	−0.949399	−	0.314072i	$-0.898307\pi$
$883$		−	18.6655i		−	0.628143i	0.949399	−	0.314072i	$-0.101693\pi$
$884$	20.4087	−	22.2247i	0.686419	−	0.747496i
$885$	28.8479	−	16.5874i	0.969712	−	0.557580i
$886$	42.4669	−	18.6589i	1.42670	−	0.626858i
$887$	−2.80752			−0.0942673			−0.0471336	−	0.998889i	$-0.515009\pi$
$887$	−2.80752			−0.0942673			−0.0471336	+	0.998889i	$0.515009\pi$
$888$	3.64475	+	18.6512i	0.122310	+	0.625892i
$889$	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
$892$	−11.8181	+	12.8696i	−0.395698	+	0.430906i
$893$	75.4747			2.52566
$894$	−26.6759	+	36.2064i	−0.892175	+	1.21092i
$895$	14.9136	−	25.8310i	0.498505	−	0.863437i
$896$	20.5557	−	21.7592i	0.686718	−	0.726924i
$897$	−3.34911	+	5.77721i	−0.111824	+	0.192896i
$898$	3.82148	−	5.20603i	0.127525	−	0.173728i
$899$	−5.81461	+	10.0712i	−0.193928	+	0.335894i
$900$	8.30304	+	26.7626i	0.276768	+	0.892087i
$901$	5.79854	−	3.34779i	0.193177	−	0.111531i
$902$	−1.56851	−	3.56987i	−0.0522257	−	0.118864i
$903$	−2.20568	+	3.89715i	−0.0734005	+	0.129689i
$904$	0.683491	−	0.597478i	0.0227326	−	0.0198718i
$905$	−22.0019			−0.731368
$906$	28.0358	+	20.6560i	0.931428	+	0.686251i
$907$		−	24.0919i		−	0.799958i	−0.916524	−	0.399979i	$-0.869017\pi$
$907$		−	24.0919i		−	0.799958i	0.916524	−	0.399979i	$-0.130983\pi$
$908$	−13.0559	−	41.5623i	−0.433276	−	1.37929i
$909$	−0.120428	+	34.0525i	−0.00399435	+	1.12945i
$910$	−42.2788	−	30.3669i	−1.40153	−	1.00665i
$911$	2.87372	−	1.65914i	0.0952107	−	0.0549699i	−0.451639	−	0.892201i	$-0.649160\pi$
$911$	2.87372	−	1.65914i	0.0952107	−	0.0549699i	0.546849	+	0.837231i	$0.315827\pi$
$912$	−41.1791	−	19.3979i	−1.36358	−	0.642328i
$913$	−5.77208	+	3.33251i	−0.191028	+	0.110290i
$914$	−7.22741	−	16.4493i	−0.239061	−	0.544094i
$915$	−35.6249	+	61.4529i	−1.17772	+	2.03157i
$916$	16.2192	−	5.09491i	0.535896	−	0.168341i
$917$	9.26402	−	5.47711i	0.305925	−	0.180870i
$918$	−22.7402	+	9.84792i	−0.750540	+	0.325030i
$919$	−38.9661	+	22.4971i	−1.28537	+	0.742110i	−0.977825	−	0.209422i	$-0.932842\pi$
$919$	−38.9661	+	22.4971i	−1.28537	+	0.742110i	−0.307548	+	0.951533i	$0.599508\pi$
$920$	−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
$924$	−13.8031	+	15.2924i	−0.454089	+	0.503084i
$925$	9.05818	+	15.6892i	0.297831	+	0.515858i
$926$	33.6453	−	14.7829i	1.10565	−	0.485797i
$927$	44.6883	+	0.158042i	1.46776	+	0.00519078i
$928$	8.91963	−	4.86264i	0.292801	−	0.159624i
$929$	−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	$0.773538\pi$
$930$	−5.48265	+	49.0195i	−0.179783	+	1.60741i
$931$	−45.9811	+	0.951258i	−1.50697	+	0.0311762i
$932$	24.7209	−	26.9205i	0.809759	−	0.881810i
$933$	−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
$936$	−24.8828	−	28.6690i	−0.813321	−	0.937074i
$937$		−	52.5195i		−	1.71574i	−0.513868	−	0.857869i	$-0.671788\pi$
$937$		−	52.5195i		−	1.71574i	0.513868	−	0.857869i	$-0.328212\pi$
$938$	18.1412	+	40.1558i	0.592332	+	1.31113i
$939$	−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	$0.427453\pi$
$942$	−2.28812	+	20.4577i	−0.0745511	+	0.666549i
$943$	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	$0.0933177\pi$
$947$	51.8922	+	29.9600i	1.68627	+	0.973568i	0.728935	+	0.684583i	$0.240016\pi$
$948$	8.53692	−	37.9979i	0.277266	−	1.23411i
$949$	−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
$952$	23.9665	+	7.90247i	0.776760	+	0.256121i
$953$	11.2404			0.364111			0.182056	−	0.983288i	$-0.441725\pi$
$953$	11.2404			0.364111			0.182056	+	0.983288i	$0.441725\pi$
$954$	−3.36121	−	7.72402i	−0.108823	−	0.250074i
$955$	−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
$958$	−13.2961	+	18.1134i	−0.429578	+	0.585216i
$959$	34.3511	−	20.3092i	1.10926	−	0.655819i
$960$	26.4003	−	34.0543i	0.852066	−	1.09910i
$961$	−5.46626	+	9.46784i	−0.176331	+	0.305414i
$962$	−19.7849	−	14.5231i	−0.637890	−	0.468243i
$963$	21.7833	−	12.4741i	0.701957	−	0.401972i
$964$	−9.25541	+	2.90739i	−0.298097	+	0.0936408i
$965$	−36.0717	+	20.8260i	−1.16119	+	0.670413i
$966$	−5.55648	−	0.563351i	−0.178777	−	0.0181255i
$967$	−28.0105	−	16.1719i	−0.900756	−	0.520052i	−0.0233107	−	0.999728i	$-0.507421\pi$
$967$	−28.0105	−	16.1719i	−0.900756	−	0.520052i	−0.877445	+	0.479676i	$0.840754\pi$
$968$	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	0.790783	−	0.612096i	$-0.209673\pi$
$971$	−4.19734	−	7.27001i	−0.134699	−	0.233306i	−0.925483	+	0.378790i	$0.876340\pi$
$972$	9.08009	+	29.8254i	0.291244	+	0.956649i
$973$	0.222304	+	21.4933i	0.00712673	+	0.689045i
$974$	−7.28289	+	3.19992i	−0.233359	+	0.102532i
$975$	−31.3080	−	18.1496i	−1.00266	−	0.581251i
$976$	52.5609	−	4.48575i	1.68243	−	0.143585i
$977$	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	$0.775035\pi$
$978$	−5.97461	+	53.4179i	−0.191047	+	1.70812i
$979$	17.0192	+	29.4782i	0.543938	+	0.942127i
$980$	8.58713	−	42.6804i	0.274306	−	1.36337i
$981$	4.25206	−	7.30500i	0.135758	−	0.233231i
$982$	−13.4193	+	5.89613i	−0.428229	+	0.188153i
$983$	−40.4147			−1.28903			−0.644514	−	0.764593i	$-0.722940\pi$
$983$	−40.4147			−1.28903			−0.644514	+	0.764593i	$0.722940\pi$
$984$	3.94706	+	4.53142i	0.125828	+	0.144457i
$985$			23.7498i			0.756730i
$986$	6.90427	+	5.06807i	0.219877	+	0.161400i
$987$	0.451366	+	52.6406i	0.0143671	+	1.67557i
$988$	56.0847	−	17.6178i	1.78429	−	0.560498i
$989$	−0.421060	−	0.729297i	−0.0133889	−	0.0231903i
$990$	−17.6323	+	23.8433i	−0.560390	+	0.757791i
$991$	41.5797	+	24.0060i	1.32082	+	0.762577i	0.983860	−	0.178941i	$-0.0572672\pi$
$991$	41.5797	+	24.0060i	1.32082	+	0.762577i	0.336962	+	0.941518i	$0.390601\pi$
$992$	32.1623	−	17.5336i	1.02115	−	0.556694i
$993$	−4.45329	−	2.58162i	−0.141321	−	0.0819251i
$994$	13.2389	+	1.31859i	0.419911	+	0.0418232i
$995$	64.7340	+	37.3742i	2.05221	+	1.18484i
$996$	6.96104	−	7.55358i	0.220569	−	0.239344i
$997$		−	28.8714i		−	0.914368i	−0.889372	−	0.457184i	$-0.848858\pi$
$997$		−	28.8714i		−	0.914368i	0.889372	−	0.457184i	$-0.151142\pi$
$998$	−13.1577	−	9.65842i	−0.416501	−	0.305732i
$999$	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.31.14	✓	84
3.2	odd	2		756.2.n.b.199.29		84
4.3	odd	2	inner	252.2.n.b.31.16	yes	84
7.5	odd	6		252.2.bj.b.103.42	yes	84
9.2	odd	6		756.2.bj.b.451.1		84
9.7	even	3		252.2.bj.b.115.42	yes	84
12.11	even	2		756.2.n.b.199.27		84
21.5	even	6		756.2.bj.b.523.1		84
28.19	even	6		252.2.bj.b.103.41	yes	84
36.7	odd	6		252.2.bj.b.115.41	yes	84
36.11	even	6		756.2.bj.b.451.2		84
63.47	even	6		756.2.n.b.19.27		84
63.61	odd	6	inner	252.2.n.b.187.16	yes	84
84.47	odd	6		756.2.bj.b.523.2		84
252.47	odd	6		756.2.n.b.19.29		84
252.187	even	6	inner	252.2.n.b.187.14	yes	84

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

\(f(q)\)	\(=\)	\(q+(-0.836845 + 1.14004i) q^{2} +(-1.73205 - 0.00306272i) q^{3} +(-0.599381 - 1.90807i) q^{4} +3.10969i q^{5} +(1.45295 - 1.97204i) q^{6} +(-2.27748 + 1.34650i) q^{7} +(2.67687 + 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +O(q^{10})\)	\(q+(-0.836845 + 1.14004i) q^{2} +(-1.73205 - 0.00306272i) q^{3} +(-0.599381 - 1.90807i) q^{4} +3.10969i q^{5} +(1.45295 - 1.97204i) q^{6} +(-2.27748 + 1.34650i) q^{7} +(2.67687 + 0.913443i) q^{8} +(2.99998 + 0.0106095i) q^{9} +(-3.54517 - 2.60233i) q^{10} -2.24771i q^{11} +(1.03231 + 3.30671i) q^{12} +(-3.87442 - 2.23689i) q^{13} +(0.370835 - 3.72324i) q^{14} +(0.00952410 - 5.38613i) q^{15} +(-3.28148 + 2.28733i) q^{16} +(-2.92047 - 1.68614i) q^{17} +(-2.52261 + 3.41122i) q^{18} +(-3.28507 - 5.68990i) q^{19} +(5.93352 - 1.86389i) q^{20} +(3.94884 - 2.32523i) q^{21} +(2.56248 + 1.88098i) q^{22} +0.861779i q^{23} +(-4.63367 - 1.59033i) q^{24} -4.67017 q^{25} +(5.79243 - 2.54505i) q^{26} +(-5.19608 - 0.0275643i) q^{27} +(3.93430 + 3.53854i) q^{28} +(0.897936 + 1.55527i) q^{29} +(6.13243 + 4.51822i) q^{30} +(3.23777 + 5.60798i) q^{31} +(0.138453 - 5.65516i) q^{32} +(-0.00688410 + 3.89314i) q^{33} +(4.36625 - 1.91842i) q^{34} +(-4.18720 - 7.08227i) q^{35} +(-1.77789 - 5.73054i) 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} +(-0.653707 + 6.44769i) q^{42} +(-0.846269 + 0.488593i) q^{43} +(-4.28879 + 1.34723i) q^{44} +(-0.0329924 + 9.32901i) q^{45} +(-0.982463 - 0.721176i) q^{46} +(-5.74377 + 9.94851i) q^{47} +(5.69070 - 3.95171i) q^{48} +(3.37386 - 6.13327i) q^{49} +(3.90821 - 5.32418i) q^{50} +(5.05324 + 2.92941i) q^{51} +(-1.94591 + 8.73342i) q^{52} +(-0.992739 + 1.71947i) q^{53} +(4.37974 - 5.90067i) q^{54} +6.98968 q^{55} +(-7.32648 + 1.52406i) q^{56} +(5.67247 + 9.86524i) q^{57} +(-2.52450 - 0.277838i) q^{58} +(3.08911 + 5.35050i) q^{59} +(-10.2828 + 3.21017i) 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} +(-4.43257 - 3.26580i) q^{66} +(-10.1987 + 5.88823i) q^{67} +(-1.46679 + 6.58311i) q^{68} +(0.00263939 - 1.49264i) q^{69} +(11.5781 + 1.15318i) q^{70} +3.55574i q^{71} +(8.02086 + 2.76871i) q^{72} +(3.89746 + 2.25020i) q^{73} +(5.45304 + 0.600142i) q^{74} +(8.08896 + 0.0143034i) q^{75} +(-8.88774 + 9.67856i) q^{76} +(3.02654 + 5.11912i) q^{77} +(-10.0406 + 4.39041i) q^{78} +(-9.73626 - 5.62123i) q^{79} +(-7.11287 - 10.2044i) q^{80} +(8.99977 + 0.0636569i) q^{81} +(1.58823 - 0.697827i) q^{82} +(-1.48263 - 2.56798i) q^{83} +(-6.80357 - 6.14097i) 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} +(-10.6078 - 7.84455i) q^{90} +(11.8359 - 0.122418i) q^{91} +(1.64434 - 0.516534i) q^{92} +(-5.59079 - 9.72320i) q^{93} +(-6.53504 - 14.8735i) q^{94} +(17.6938 - 10.2155i) q^{95} +(-0.257127 + 9.79458i) q^{96} +(2.86666 - 1.65507i) q^{97} +(4.16877 + 8.97894i) 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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