LMFDB - Embedded newform 61.2.g.a.52.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [61,2,Mod(3,61)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(61, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("61.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 61 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	61.g (of order $10$, degree $4$, 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:	$0.487087452330$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 17x^{14} + 111x^{12} + 361x^{10} + 624x^{8} + 558x^{6} + 229x^{4} + 34x^{2} + 1 $ x^16 + 17x^14 + 111x^12 + 361x^10 + 624x^8 + 558x^6 + 229x^4 + 34*x^2 + 1
Coefficient ring:	$\Z[a_1, \ldots, a_{4}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			52.3
Root			$0.475317i$ of defining polynomial
Character	$\chi$	$=$	61.52
Dual form			61.2.g.a.27.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.279384 - 0.384540i) q^{2} +(0.261794 + 0.190204i) q^{3} +(0.548219 + 1.68724i) q^{4} +(0.00765597 + 0.0235626i) q^{5} +(0.146282 - 0.0475300i) q^{6} +(-2.52527 - 3.47573i) q^{7} +(1.70608 + 0.554340i) q^{8} +(-0.894693 - 2.75358i) q^{9} +O(q^{10})$	\(q+(0.279384 - 0.384540i) q^{2} +(0.261794 + 0.190204i) q^{3} +(0.548219 + 1.68724i) q^{4} +(0.00765597 + 0.0235626i) q^{5} +(0.146282 - 0.0475300i) q^{6} +(-2.52527 - 3.47573i) q^{7} +(1.70608 + 0.554340i) q^{8} +(-0.894693 - 2.75358i) q^{9} +(0.0111997 + 0.00363901i) q^{10} +5.23440i q^{11} +(-0.177401 + 0.545983i) q^{12} -4.67616 q^{13} -2.04208 q^{14} +(-0.00247743 + 0.00762475i) q^{15} +(-2.18069 + 1.58437i) q^{16} +(6.11345 - 1.98638i) q^{17} +(-1.30882 - 0.425263i) q^{18} +(-0.444823 - 0.323182i) q^{19} +(-0.0355588 + 0.0258350i) q^{20} -1.39024i q^{21} +(2.01283 + 1.46241i) q^{22} +(-2.83954 + 0.922622i) q^{23} +(0.341204 + 0.469627i) q^{24} +(4.04459 - 2.93857i) q^{25} +(-1.30645 + 1.79817i) q^{26} +(0.589507 - 1.81432i) q^{27} +(4.48001 - 6.16621i) q^{28} +3.09390i q^{29} +(0.00223986 + 0.00308291i) q^{30} +(1.35630 + 1.86679i) q^{31} +4.86897i q^{32} +(-0.995605 + 1.37033i) q^{33} +(0.944161 - 2.90583i) q^{34} +(0.0625641 - 0.0861121i) q^{35} +(4.15548 - 3.01913i) q^{36} +(2.76151 + 3.80089i) q^{37} +(-0.248553 + 0.0807598i) q^{38} +(-1.22419 - 0.889425i) q^{39} +0.0444438i q^{40} +(5.91524 - 4.29768i) q^{41} +(-0.534603 - 0.388412i) q^{42} +(-3.17973 - 1.03316i) q^{43} +(-8.83171 + 2.86960i) q^{44} +(0.0580319 - 0.0421627i) q^{45} +(-0.438538 + 1.34968i) q^{46} +1.49074 q^{47} -0.872244 q^{48} +(-3.54062 + 10.8969i) q^{49} -2.37629i q^{50} +(1.97828 + 0.642782i) q^{51} +(-2.56356 - 7.88982i) q^{52} +(1.61491 + 0.524717i) q^{53} +(-0.532977 - 0.733580i) q^{54} +(-0.123336 + 0.0400744i) q^{55} +(-2.38158 - 7.32975i) q^{56} +(-0.0549810 - 0.169214i) q^{57} +(1.18973 + 0.864387i) q^{58} +(-4.91874 + 6.77006i) q^{59} -0.0142230 q^{60} +(-3.53275 - 6.96561i) q^{61} +1.09679 q^{62} +(-7.31137 + 10.0632i) q^{63} +(-2.48907 - 1.80842i) q^{64} +(-0.0358005 - 0.110183i) q^{65} +(0.248791 + 0.765699i) q^{66} +(-5.02741 + 1.63351i) q^{67} +(6.70302 + 9.22591i) q^{68} +(-0.918859 - 0.298556i) q^{69} +(-0.0156341 - 0.0481168i) q^{70} +(-8.01754 - 2.60506i) q^{71} -5.19380i q^{72} +(2.62553 - 8.08055i) q^{73} +2.23312 q^{74} +1.61778 q^{75} +(0.301428 - 0.927699i) q^{76} +(18.1934 - 13.2183i) q^{77} +(-0.684039 + 0.222258i) q^{78} +(8.24408 + 2.67866i) q^{79} +(-0.0540271 - 0.0392530i) q^{80} +(-6.52759 + 4.74257i) q^{81} -3.47535i q^{82} +(3.02925 + 2.20088i) q^{83} +(2.34568 - 0.762157i) q^{84} +(0.0936088 + 0.128841i) q^{85} +(-1.28566 + 0.934086i) q^{86} +(-0.588472 + 0.809963i) q^{87} +(-2.90164 + 8.93032i) q^{88} +(-2.24641 + 3.09191i) q^{89} -0.0340952i q^{90} +(11.8086 + 16.2531i) q^{91} +(-3.11338 - 4.28519i) q^{92} +0.746689i q^{93} +(0.416491 - 0.573251i) q^{94} +(0.00420949 - 0.0129555i) q^{95} +(-0.926100 + 1.27467i) q^{96} +(0.159121 - 0.115608i) q^{97} +(3.20110 + 4.40594i) q^{98} +(14.4133 - 4.68318i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 5 q^{2} - q^{3} + 3 q^{4} - 15 q^{6} + 10 q^{7} - 5 q^{8} + q^{9}+O(q^{10}) $ 16 * q - 5 * q^2 - q^3 + 3 * q^4 - 15 * q^6 + 10 * q^7 - 5 * q^8 + q^9	$ 16 q - 5 q^{2} - q^{3} + 3 q^{4} - 15 q^{6} + 10 q^{7} - 5 q^{8} + q^{9} - 5 q^{10} - 12 q^{13} - 18 q^{14} - 13 q^{15} + 19 q^{16} - 10 q^{18} + 3 q^{19} - 13 q^{20} + 19 q^{22} - 15 q^{23} + 10 q^{24} - 2 q^{25} + 10 q^{26} - 4 q^{27} + 35 q^{28} + 45 q^{30} - 15 q^{31} + 25 q^{33} - 14 q^{34} + 10 q^{35} + 37 q^{36} - 5 q^{37} - 15 q^{38} - 3 q^{39} + 12 q^{41} - 15 q^{42} - 25 q^{43} - 50 q^{44} + 36 q^{45} + 27 q^{46} + 6 q^{47} - 20 q^{48} - 30 q^{49} + 50 q^{51} - 46 q^{52} - 20 q^{53} - 20 q^{54} + 20 q^{55} - 28 q^{56} - 11 q^{57} - 41 q^{58} + 5 q^{59} + 14 q^{60} - 53 q^{61} + 16 q^{62} - 5 q^{63} + 17 q^{64} + 20 q^{65} + 13 q^{66} - 55 q^{67} + 80 q^{68} - 15 q^{69} - 17 q^{70} - 50 q^{71} - 11 q^{73} + 24 q^{74} - 88 q^{75} - 19 q^{76} + 63 q^{77} + 50 q^{78} + 40 q^{79} - 49 q^{80} - 19 q^{81} + 31 q^{83} - 25 q^{84} + 55 q^{85} + 35 q^{86} + 25 q^{87} + 27 q^{88} + 60 q^{89} - 15 q^{91} - 5 q^{92} + 65 q^{94} + 48 q^{95} - 25 q^{96} + 45 q^{97} + 10 q^{98} - 5 q^{99}+O(q^{100}) $ 16 * q - 5 * q^2 - q^3 + 3 * q^4 - 15 * q^6 + 10 * q^7 - 5 * q^8 + q^9 - 5 * q^10 - 12 * q^13 - 18 * q^14 - 13 * q^15 + 19 * q^16 - 10 * q^18 + 3 * q^19 - 13 * q^20 + 19 * q^22 - 15 * q^23 + 10 * q^24 - 2 * q^25 + 10 * q^26 - 4 * q^27 + 35 * q^28 + 45 * q^30 - 15 * q^31 + 25 * q^33 - 14 * q^34 + 10 * q^35 + 37 * q^36 - 5 * q^37 - 15 * q^38 - 3 * q^39 + 12 * q^41 - 15 * q^42 - 25 * q^43 - 50 * q^44 + 36 * q^45 + 27 * q^46 + 6 * q^47 - 20 * q^48 - 30 * q^49 + 50 * q^51 - 46 * q^52 - 20 * q^53 - 20 * q^54 + 20 * q^55 - 28 * q^56 - 11 * q^57 - 41 * q^58 + 5 * q^59 + 14 * q^60 - 53 * q^61 + 16 * q^62 - 5 * q^63 + 17 * q^64 + 20 * q^65 + 13 * q^66 - 55 * q^67 + 80 * q^68 - 15 * q^69 - 17 * q^70 - 50 * q^71 - 11 * q^73 + 24 * q^74 - 88 * q^75 - 19 * q^76 + 63 * q^77 + 50 * q^78 + 40 * q^79 - 49 * q^80 - 19 * q^81 + 31 * q^83 - 25 * q^84 + 55 * q^85 + 35 * q^86 + 25 * q^87 + 27 * q^88 + 60 * q^89 - 15 * q^91 - 5 * q^92 + 65 * q^94 + 48 * q^95 - 25 * q^96 + 45 * q^97 + 10 * q^98 - 5 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/61\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{7}{10}\right)$

Coefficient data

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

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

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

$2$	0.279384	−	0.384540i	0.197555	−	0.271911i	−0.698734	−	0.715381i	$-0.746253\pi$
$2$	0.279384	−	0.384540i	0.197555	−	0.271911i	0.896289	+	0.443471i	$0.146253\pi$
$3$	0.261794	+	0.190204i	0.151147	+	0.109814i	0.660788	−	0.750572i	$-0.270222\pi$
$3$	0.261794	+	0.190204i	0.151147	+	0.109814i	−0.509642	+	0.860387i	$0.670222\pi$
$4$	0.548219	+	1.68724i	0.274109	+	0.843622i
$5$	0.00765597	+	0.0235626i	0.00342385	+	0.0105375i	0.952754	−	0.303743i	$-0.0982366\pi$
$5$	0.00765597	+	0.0235626i	0.00342385	+	0.0105375i	−0.949330	+	0.314281i	$0.898237\pi$
$6$	0.146282	−	0.0475300i	0.0597195	−	0.0194040i
$7$	−2.52527	−	3.47573i	−0.954462	−	1.31370i	−0.949517	−	0.313716i	$-0.898426\pi$
$7$	−2.52527	−	3.47573i	−0.954462	−	1.31370i	−0.00494463	−	0.999988i	$-0.501574\pi$
$8$	1.70608	+	0.554340i	0.603192	+	0.195989i
$9$	−0.894693	−	2.75358i	−0.298231	−	0.917860i
$10$	0.0111997	+	0.00363901i	0.00354167	+	0.00115076i
$11$			5.23440i			1.57823i	0.614245	+	0.789115i	$0.289461\pi$
$11$			5.23440i			1.57823i	−0.614245	+	0.789115i	$0.710539\pi$
$12$	−0.177401	+	0.545983i	−0.0512112	+	0.157612i
$13$	−4.67616			−1.29693			−0.648467	−	0.761243i	$-0.724589\pi$
$13$	−4.67616			−1.29693			−0.648467	+	0.761243i	$0.724589\pi$
$14$	−2.04208			−0.545768
$15$	−0.00247743	+	0.00762475i	−0.000639670	+	0.00196870i
$16$	−2.18069	+	1.58437i	−0.545173	+	0.396091i
$17$	6.11345	−	1.98638i	1.48273	−	0.481768i	0.547803	−	0.836608i	$-0.315465\pi$
$17$	6.11345	−	1.98638i	1.48273	−	0.481768i	0.934927	+	0.354840i	$0.115465\pi$
$18$	−1.30882	−	0.425263i	−0.308493	−	0.100235i
$19$	−0.444823	−	0.323182i	−0.102049	−	0.0741431i	0.535590	−	0.844478i	$-0.320089\pi$
$19$	−0.444823	−	0.323182i	−0.102049	−	0.0741431i	−0.637640	+	0.770335i	$0.720089\pi$
$20$	−0.0355588	+	0.0258350i	−0.00795119	+	0.00577688i
$21$		−	1.39024i		−	0.303376i
$22$	2.01283	+	1.46241i	0.429138	+	0.311787i
$23$	−2.83954	+	0.922622i	−0.592084	+	0.192380i	−0.589707	−	0.807617i	$-0.700757\pi$
$23$	−2.83954	+	0.922622i	−0.592084	+	0.192380i	−0.00237745	+	0.999997i	$0.500757\pi$
$24$	0.341204	+	0.469627i	0.0696480	+	0.0958622i
$25$	4.04459	−	2.93857i	0.808918	−	0.587713i
$26$	−1.30645	+	1.79817i	−0.256215	+	0.352650i
$27$	0.589507	−	1.81432i	0.113451	−	0.349165i
$28$	4.48001	−	6.16621i	0.846642	−	1.16530i
$29$			3.09390i			0.574522i	0.957852	+	0.287261i	$0.0927447\pi$
$29$			3.09390i			0.574522i	−0.957852	+	0.287261i	$0.907255\pi$
$30$	0.00223986	+	0.00308291i	0.000408941	+	0.000562859i
$31$	1.35630	+	1.86679i	0.243599	+	0.335286i	0.913257	−	0.407384i	$-0.133559\pi$
$31$	1.35630	+	1.86679i	0.243599	+	0.335286i	−0.669657	+	0.742670i	$0.733559\pi$
$32$			4.86897i			0.860721i
$33$	−0.995605	+	1.37033i	−0.173313	+	0.238544i
$34$	0.944161	−	2.90583i	0.161922	−	0.498346i
$35$	0.0625641	−	0.0861121i	0.0105753	−	0.0145556i
$36$	4.15548	−	3.01913i	0.692579	−	0.503188i
$37$	2.76151	+	3.80089i	0.453990	+	0.624863i	0.973249	−	0.229754i	$-0.0737921\pi$
$37$	2.76151	+	3.80089i	0.453990	+	0.624863i	−0.519259	+	0.854617i	$0.673792\pi$
$38$	−0.248553	+	0.0807598i	−0.0403206	+	0.0131010i
$39$	−1.22419	−	0.889425i	−0.196027	−	0.142422i
$40$			0.0444438i			0.00702719i
$41$	5.91524	−	4.29768i	0.923806	−	0.671184i	−0.0206625	−	0.999787i	$-0.506578\pi$
$41$	5.91524	−	4.29768i	0.923806	−	0.671184i	0.944468	+	0.328602i	$0.106578\pi$
$42$	−0.534603	−	0.388412i	−0.0824911	−	0.0599333i
$43$	−3.17973	−	1.03316i	−0.484905	−	0.157555i	0.0563546	−	0.998411i	$-0.482052\pi$
$43$	−3.17973	−	1.03316i	−0.484905	−	0.157555i	−0.541259	+	0.840856i	$0.682052\pi$
$44$	−8.83171	+	2.86960i	−1.33143	+	0.432608i
$45$	0.0580319	−	0.0421627i	0.00865089	−	0.00628524i
$46$	−0.438538	+	1.34968i	−0.0646589	+	0.199000i
$47$	1.49074			0.217447			0.108724	−	0.994072i	$-0.465324\pi$
$47$	1.49074			0.217447			0.108724	+	0.994072i	$0.465324\pi$
$48$	−0.872244			−0.125898
$49$	−3.54062	+	10.8969i	−0.505803	+	1.55670i
$50$		−	2.37629i		−	0.336059i
$51$	1.97828	+	0.642782i	0.277015	+	0.0900075i
$52$	−2.56356	−	7.88982i	−0.355502	−	1.09412i
$53$	1.61491	+	0.524717i	0.221826	+	0.0720755i	0.417821	−	0.908529i	$-0.362794\pi$
$53$	1.61491	+	0.524717i	0.221826	+	0.0720755i	−0.195996	+	0.980605i	$0.562794\pi$
$54$	−0.532977	−	0.733580i	−0.0725290	−	0.0998276i
$55$	−0.123336	+	0.0400744i	−0.0166307	+	0.00540363i
$56$	−2.38158	−	7.32975i	−0.318252	−	0.979479i
$57$	−0.0549810	−	0.169214i	−0.00728242	−	0.0224130i
$58$	1.18973	+	0.864387i	0.156219	+	0.113500i
$59$	−4.91874	+	6.77006i	−0.640365	+	0.881387i	−0.998635	−	0.0522309i	$-0.983367\pi$
$59$	−4.91874	+	6.77006i	−0.640365	+	0.881387i	0.358270	+	0.933618i	$0.383367\pi$
$60$	−0.0142230			−0.00183618
$61$	−3.53275	−	6.96561i	−0.452323	−	0.891854i
$61$	−3.53275	−	6.96561i	−0.452323	−	0.891854i
$62$	1.09679			0.139292
$63$	−7.31137	+	10.0632i	−0.921147	+	1.26785i
$64$	−2.48907	−	1.80842i	−0.311134	−	0.226052i
$65$	−0.0358005	−	0.110183i	−0.00444051	−	0.0136665i
$66$	0.248791	+	0.765699i	0.0306240	+	0.0942511i
$67$	−5.02741	+	1.63351i	−0.614196	+	0.199565i	−0.599562	−	0.800328i	$-0.704658\pi$
$67$	−5.02741	+	1.63351i	−0.614196	+	0.199565i	−0.0146345	+	0.999893i	$0.504658\pi$
$68$	6.70302	+	9.22591i	0.812860	+	1.11881i
$69$	−0.918859	−	0.298556i	−0.110618	−	0.0359419i
$70$	−0.0156341	−	0.0481168i	−0.00186863	−	0.00575105i
$71$	−8.01754	−	2.60506i	−0.951507	−	0.309164i	−0.208179	−	0.978091i	$-0.566754\pi$
$71$	−8.01754	−	2.60506i	−0.951507	−	0.309164i	−0.743328	+	0.668927i	$0.766754\pi$
$72$		−	5.19380i		−	0.612096i
$73$	2.62553	−	8.08055i	0.307295	−	0.945757i	−0.671516	−	0.740990i	$-0.734356\pi$
$73$	2.62553	−	8.08055i	0.307295	−	0.945757i	0.978811	−	0.204767i	$-0.0656436\pi$
$74$	2.23312			0.259595
$75$	1.61778			0.186805
$76$	0.301428	−	0.927699i	0.0345761	−	0.106414i
$77$	18.1934	−	13.2183i	2.07333	−	1.50636i
$78$	−0.684039	+	0.222258i	−0.0774522	+	0.0251657i
$79$	8.24408	+	2.67866i	0.927531	+	0.301373i	0.733553	−	0.679633i	$-0.237861\pi$
$79$	8.24408	+	2.67866i	0.927531	+	0.301373i	0.193978	+	0.981006i	$0.437861\pi$
$80$	−0.0540271	−	0.0392530i	−0.00604042	−	0.00438862i
$81$	−6.52759	+	4.74257i	−0.725288	+	0.526952i
$82$		−	3.47535i		−	0.383788i
$83$	3.02925	+	2.20088i	0.332504	+	0.241578i	0.741492	−	0.670962i	$-0.234118\pi$
$83$	3.02925	+	2.20088i	0.332504	+	0.241578i	−0.408989	+	0.912539i	$0.634118\pi$
$84$	2.34568	−	0.762157i	0.255934	−	0.0831581i
$85$	0.0936088	+	0.128841i	0.0101533	+	0.0139748i
$86$	−1.28566	+	0.934086i	−0.138636	+	0.100725i
$87$	−0.588472	+	0.809963i	−0.0630909	+	0.0868371i
$88$	−2.90164	+	8.93032i	−0.309316	+	0.951975i
$89$	−2.24641	+	3.09191i	−0.238119	+	0.327742i	−0.911306	−	0.411730i	$-0.864925\pi$
$89$	−2.24641	+	3.09191i	−0.238119	+	0.327742i	0.673187	+	0.739472i	$0.264925\pi$
$90$		−	0.0340952i		−	0.00359395i
$91$	11.8086	+	16.2531i	1.23787	+	1.70379i
$92$	−3.11338	−	4.28519i	−0.324592	−	0.446762i
$93$			0.746689i			0.0774281i
$94$	0.416491	−	0.573251i	0.0429578	−	0.0591263i
$95$	0.00420949	−	0.0129555i	0.000431884	−	0.00132920i
$96$	−0.926100	+	1.27467i	−0.0945196	+	0.130095i
$97$	0.159121	−	0.115608i	0.0161563	−	0.0117383i	−0.579678	−	0.814846i	$-0.696822\pi$
$97$	0.159121	−	0.115608i	0.0161563	−	0.0117383i	0.595834	+	0.803108i	$0.296822\pi$
$98$	3.20110	+	4.40594i	0.323360	+	0.445067i
$99$	14.4133	−	4.68318i	1.44860	−	0.470677i
$100$	7.17540	+	5.21323i	0.717540	+	0.521323i
$101$		−	12.6032i		−	1.25406i	−0.778995	−	0.627030i	$-0.784270\pi$
$101$		−	12.6032i		−	1.25406i	0.778995	−	0.627030i	$-0.215730\pi$
$102$	0.799876	−	0.581144i	0.0791996	−	0.0575419i
$103$	−9.28194	−	6.74373i	−0.914577	−	0.664479i	0.0275912	−	0.999619i	$-0.491216\pi$
$103$	−9.28194	−	6.74373i	−0.914577	−	0.664479i	−0.942168	+	0.335140i	$0.891216\pi$
$104$	−7.97792	−	2.59218i	−0.782299	−	0.254184i
$105$	0.0327578	−	0.0106436i	0.00319683	−	0.00103871i
$106$	0.652957	−	0.474401i	0.0634208	−	0.0460779i
$107$	4.05847	−	12.4907i	0.392347	−	1.20752i	−0.538662	−	0.842522i	$-0.681070\pi$
$107$	4.05847	−	12.4907i	0.392347	−	1.20752i	0.931009	−	0.364997i	$-0.118930\pi$
$108$	3.38437			0.325661
$109$	−6.02580			−0.577167			−0.288583	−	0.957455i	$-0.593184\pi$
$109$	−6.02580			−0.577167			−0.288583	+	0.957455i	$0.593184\pi$
$110$	−0.0190480	+	0.0586239i	−0.00181616	+	0.00558957i
$111$			1.52030i			0.144301i
$112$	11.0137	+	3.57856i	1.04069	+	0.338142i
$113$	0.704256	+	2.16748i	0.0662509	+	0.203899i	0.978702	−	0.205287i	$-0.0658127\pi$
$113$	0.704256	+	2.16748i	0.0662509	+	0.203899i	−0.912451	+	0.409186i	$0.865813\pi$
$114$	−0.0804305	−	0.0261334i	−0.00753300	−	0.00244762i
$115$	−0.0434788	−	0.0598434i	−0.00405442	−	0.00558043i
$116$	−5.22016	+	1.69613i	−0.484680	+	0.157482i
$117$	4.18373	+	12.8762i	0.386786	+	1.19040i
$118$	1.22914	+	3.78290i	0.113151	+	0.348244i
$119$	−22.3422	−	16.2326i	−2.04811	−	1.48804i
$120$	−0.00845341	+	0.0116351i	−0.000771687	+	0.00106214i
$121$	−16.3989			−1.49081
$122$	−3.66555	−	0.587598i	−0.331863	−	0.0531986i
$123$	2.36601			0.213336
$124$	−2.40618	+	3.31183i	−0.216082	+	0.297411i
$125$	0.200424	+	0.145616i	0.0179264	+	0.0130243i
$126$	1.82703	+	5.62303i	0.162765	+	0.500939i
$127$	−2.06502	−	6.35549i	−0.183241	−	0.563958i	0.816672	−	0.577101i	$-0.195816\pi$
$127$	−2.06502	−	6.35549i	−0.183241	−	0.563958i	−0.999914	+	0.0131432i	$0.995816\pi$
$128$	−10.6522	+	3.46110i	−0.941526	+	0.305920i
$129$	−0.635923	−	0.875273i	−0.0559899	−	0.0770635i
$130$	−0.0523717	−	0.0170166i	−0.00459331	−	0.00149246i
$131$	−1.03655	−	3.19019i	−0.0905642	−	0.278728i	0.895508	−	0.445045i	$-0.146812\pi$
$131$	−1.03655	−	3.19019i	−0.0905642	−	0.278728i	−0.986072	+	0.166317i	$0.946812\pi$
$132$	−2.85789	−	0.928586i	−0.248748	−	0.0808231i
$133$			2.36221i			0.204829i
$134$	−0.776434	+	2.38962i	−0.0670736	+	0.206431i
$135$	0.0472633			0.00406778
$136$	11.5312			0.988791
$137$	−3.00132	+	9.23713i	−0.256420	+	0.789181i	0.737126	+	0.675755i	$0.236182\pi$
$137$	−3.00132	+	9.23713i	−0.256420	+	0.789181i	−0.993546	+	0.113426i	$0.963818\pi$
$138$	−0.371522	+	0.269926i	−0.0316260	+	0.0229776i
$139$	7.71848	−	2.50788i	0.654673	−	0.212716i	0.0371993	−	0.999308i	$-0.488156\pi$
$139$	7.71848	−	2.50788i	0.654673	−	0.212716i	0.617473	+	0.786592i	$0.288156\pi$
$140$	0.179591	+	0.0583526i	0.0151782	+	0.00493170i
$141$	0.390268	+	0.283546i	0.0328665	+	0.0238789i
$142$	−3.24173	+	2.35525i	−0.272040	+	0.197648i
$143$		−	24.4769i		−	2.04686i
$144$	6.31373	+	4.58719i	0.526144	+	0.382266i
$145$	−0.0729004	+	0.0236868i	−0.00605405	+	0.00196708i
$146$	−2.37376	−	3.26720i	−0.196454	−	0.270396i
$147$	−2.99955	+	2.17930i	−0.247399	+	0.179746i
$148$	−4.89912	+	6.74307i	−0.402705	+	0.554277i
$149$	−5.07581	+	15.6217i	−0.415826	+	1.27978i	0.495684	+	0.868503i	$0.334918\pi$
$149$	−5.07581	+	15.6217i	−0.415826	+	1.27978i	−0.911510	+	0.411278i	$0.865082\pi$
$150$	0.451981	−	0.622099i	0.0369041	−	0.0507942i
$151$			16.1864i			1.31723i	0.752479	+	0.658617i	$0.228858\pi$
$151$			16.1864i			1.31723i	−0.752479	+	0.658617i	$0.771142\pi$
$152$	−0.579751	−	0.797959i	−0.0470240	−	0.0647230i
$153$	−10.9393	−	15.0567i	−0.884392	−	1.21726i
$154$		−	10.6891i		−	0.861348i
$155$	−0.0336028	+	0.0462502i	−0.00269904	+	0.00371491i
$156$	0.829554	−	2.55311i	0.0664175	−	0.204412i
$157$	−1.71569	+	2.36145i	−0.136927	+	0.188464i	−0.871974	−	0.489552i	$-0.837160\pi$
$157$	−1.71569	+	2.36145i	−0.136927	+	0.188464i	0.735047	+	0.678017i	$0.237160\pi$
$158$	3.33332	−	2.42180i	0.265185	−	0.192668i
$159$	0.322971	+	0.444531i	0.0256133	+	0.0352536i
$160$	−0.114726	+	0.0372767i	−0.00906988	+	0.00294698i
$161$	10.3774	+	7.53961i	0.817852	+	0.594204i
$162$			3.83512i			0.301315i
$163$	5.13781	−	3.73283i	0.402424	−	0.292378i	−0.368104	−	0.929785i	$-0.619993\pi$
$163$	5.13781	−	3.73283i	0.402424	−	0.292378i	0.770528	+	0.637407i	$0.219993\pi$
$164$	10.4941	+	7.62439i	0.819450	+	0.595365i
$165$	−0.0399110	−	0.0129679i	−0.00310707	−	0.00100955i
$166$	1.69265	−	0.549976i	0.131375	−	0.0426864i
$167$	16.2833	−	11.8305i	1.26004	−	0.915470i	0.261276	−	0.965264i	$-0.415857\pi$
$167$	16.2833	−	11.8305i	1.26004	−	0.915470i	0.998759	+	0.0497944i	$0.0158566\pi$
$168$	0.770667	−	2.37187i	0.0594582	−	0.182994i
$169$	8.86647			0.682036
$170$	0.0756975			0.00580573
$171$	−0.491930	+	1.51400i	−0.0376188	+	0.115779i
$172$		−	5.93138i		−	0.452264i
$173$	10.4314	+	3.38937i	0.793085	+	0.257689i	0.677417	−	0.735599i	$-0.263099\pi$
$173$	10.4314	+	3.38937i	0.793085	+	0.257689i	0.115668	+	0.993288i	$0.463099\pi$
$174$	0.147053	+	0.452582i	0.0111480	+	0.0343102i
$175$	−20.4273	−	6.63724i	−1.54416	−	0.501729i
$176$	−8.29320	−	11.4146i	−0.625124	−	0.860409i
$177$	−2.57539	+	0.836795i	−0.193578	+	0.0628974i
$178$	0.561352	+	1.72767i	0.0420751	+	0.129494i
$179$	3.65483	+	11.2484i	0.273175	+	0.840746i	0.989697	+	0.143181i	$0.0457330\pi$
$179$	3.65483	+	11.2484i	0.273175	+	0.840746i	−0.716522	+	0.697565i	$0.754267\pi$
$180$	0.102953	+	0.0747996i	0.00767365	+	0.00557524i
$181$	8.79659	−	12.1075i	0.653846	−	0.899941i	−0.345413	−	0.938451i	$-0.612261\pi$
$181$	8.79659	−	12.1075i	0.653846	−	0.899941i	0.999258	+	0.0385096i	$0.0122610\pi$
$182$	9.54908			0.707825
$183$	0.400035	−	2.49550i	0.0295715	−	0.184472i
$184$	−5.35593			−0.394845
$185$	−0.0684171	+	0.0941680i	−0.00503012	+	0.00692337i
$186$	0.287132	+	0.208613i	0.0210535	+	0.0152963i
$187$	10.3975	+	32.0002i	0.760341	+	2.34009i
$188$	0.817254	+	2.51525i	0.0596044	+	0.183443i
$189$	−7.79474	+	2.53266i	−0.566984	+	0.184224i
$190$	−0.00380583	−	0.00523827i	−0.000276104	−	0.000380024i
$191$	15.4532	+	5.02104i	1.11815	+	0.363310i	0.809062	−	0.587723i	$-0.199976\pi$
$191$	15.4532	+	5.02104i	1.11815	+	0.363310i	0.309090	+	0.951033i	$0.399976\pi$
$192$	−0.307655	−	0.946863i	−0.0222031	−	0.0683340i
$193$	−1.55916	−	0.506602i	−0.112231	−	0.0364660i	0.252363	−	0.967633i	$-0.418792\pi$
$193$	−1.55916	−	0.506602i	−0.112231	−	0.0364660i	−0.364594	+	0.931167i	$0.618792\pi$
$194$		−	0.0934877i		−	0.00671202i
$195$	0.0115849	−	0.0356545i	0.000829609	−	0.00255327i
$196$	−20.3268			−1.45191
$197$	−13.3631			−0.952081			−0.476041	−	0.879423i	$-0.657929\pi$
$197$	−13.3631			−0.952081			−0.476041	+	0.879423i	$0.657929\pi$
$198$	2.22600	−	6.85091i	0.158195	−	0.486873i
$199$	0.383316	−	0.278495i	0.0271726	−	0.0197420i	−0.574116	−	0.818774i	$-0.694654\pi$
$199$	0.383316	−	0.278495i	0.0271726	−	0.0197420i	0.601289	+	0.799032i	$0.294654\pi$
$200$	8.52937	−	2.77136i	0.603118	−	0.195965i
$201$	−1.62684	−	0.528594i	−0.114749	−	0.0372841i
$202$	−4.84641	−	3.52112i	−0.340992	−	0.247745i
$203$	10.7536	−	7.81292i	0.754752	−	0.548359i
$204$			3.69023i			0.258368i
$205$	0.146552	+	0.106476i	0.0102356	+	0.00743660i
$206$	−5.18646	+	1.68518i	−0.361358	+	0.117412i
$207$	5.08103	+	6.99343i	0.353156	+	0.486077i
$208$	10.1973	−	7.40875i	0.707053	−	0.513704i
$209$	1.69167	−	2.32838i	0.117015	−	0.161057i
$210$	0.00505911	−	0.0155703i	0.000349112	−	0.00107446i
$211$	13.6164	−	18.7413i	0.937389	−	1.29021i	−0.0195171	−	0.999810i	$-0.506213\pi$
$211$	13.6164	−	18.7413i	0.937389	−	1.29021i	0.956906	−	0.290396i	$-0.0937871\pi$
$212$			3.01241i			0.206893i
$213$	−1.60345	−	2.20696i	−0.109867	−	0.151218i
$214$	−3.66929	−	5.05034i	−0.250827	−	0.345234i
$215$		−	0.0828327i		−	0.00564915i
$216$	2.01150	−	2.76859i	0.136865	−	0.188378i
$217$	3.06344	−	9.42830i	0.207960	−	0.640035i
$218$	−1.68351	+	2.31716i	−0.114022	+	0.156938i
$219$	2.22430	−	1.61605i	0.150304	−	0.109203i
$220$	−0.135231	−	0.186129i	−0.00911724	−	0.0125488i
$221$	−28.5875	+	9.28863i	−1.92300	+	0.624821i
$222$	0.584616	+	0.424749i	0.0392369	+	0.0285073i
$223$			12.1163i			0.811367i	0.914014	+	0.405684i	$0.132967\pi$
$223$			12.1163i			0.811367i	−0.914014	+	0.405684i	$0.867033\pi$
$224$	16.9233	−	12.2955i	1.13073	−	0.821525i
$225$	−11.7102	−	8.50799i	−0.780683	−	0.567199i
$226$	1.03024	+	0.334745i	0.0685305	+	0.0222669i
$227$	−26.1507	+	8.49686i	−1.73568	+	0.563956i	−0.994251	−	0.107075i	$-0.965851\pi$
$227$	−26.1507	+	8.49686i	−1.73568	+	0.563956i	−0.741429	+	0.671032i	$0.765851\pi$
$228$	0.255364	−	0.185533i	0.0169119	−	0.0122872i
$229$	−8.22220	+	25.3053i	−0.543338	+	1.67222i	0.181571	+	0.983378i	$0.441882\pi$
$229$	−8.22220	+	25.3053i	−0.543338	+	1.67222i	−0.724909	+	0.688845i	$0.758118\pi$
$230$	−0.0351595			−0.00231835
$231$	7.27708			0.478797
$232$	−1.71507	+	5.27845i	−0.112600	+	0.346547i
$233$			20.8184i			1.36386i	0.731418	+	0.681929i	$0.238859\pi$
$233$			20.8184i			1.36386i	−0.731418	+	0.681929i	$0.761141\pi$
$234$	6.12027	+	1.98860i	0.400095	+	0.129999i
$235$	0.0114131	+	0.0351259i	0.000744508	+	0.00229136i
$236$	−14.1193	−	4.58764i	−0.919088	−	0.298630i
$237$	1.64875	+	2.26932i	0.107098	+	0.147408i
$238$	−12.4841	+	4.05634i	−0.809227	+	0.262934i
$239$	−2.96146	−	9.11444i	−0.191561	−	0.589564i	−1.00000		0.000983565i	$-0.999687\pi$
$239$	−2.96146	−	9.11444i	−0.191561	−	0.589564i	0.808438	−	0.588581i	$-0.200313\pi$
$240$	−0.00667787	−	0.0205524i	−0.000431055	−	0.00132665i
$241$	−0.893378	−	0.649077i	−0.0575476	−	0.0418107i	0.558640	−	0.829411i	$-0.311324\pi$
$241$	−0.893378	−	0.649077i	−0.0575476	−	0.0418107i	−0.616187	+	0.787600i	$0.711324\pi$
$242$	−4.58161	+	6.30604i	−0.294517	+	0.405368i
$243$	−8.33399			−0.534626
$244$	9.81595	−	9.77929i	0.628402	−	0.626055i
$245$	−0.283867			−0.0181356
$246$	0.661026	−	0.909825i	0.0421455	−	0.0580083i
$247$	2.08006	+	1.51125i	0.132351	+	0.0961587i
$248$	1.27913	+	3.93676i	0.0812249	+	0.249984i
$249$	0.374422	+	1.15235i	0.0237280	+	0.0730274i
$250$	0.111990	−	0.0363879i	0.00708290	−	0.00230137i
$251$	7.39596	+	10.1797i	0.466829	+	0.642534i	0.975907	−	0.218186i	$-0.0700138\pi$
$251$	7.39596	+	10.1797i	0.466829	+	0.642534i	−0.509079	+	0.860720i	$0.670014\pi$
$252$	−20.9874	−	6.81921i	−1.32208	−	0.429570i
$253$	−4.82937	−	14.8633i	−0.303620	−	0.934446i
$254$	−3.02087	−	0.981541i	−0.189546	−	0.0615874i
$255$			0.0515346i			0.00322722i
$256$	0.256362	−	0.789001i	0.0160226	−	0.0493125i
$257$	−1.16971			−0.0729646			−0.0364823	−	0.999334i	$-0.511615\pi$
$257$	−1.16971			−0.0729646			−0.0364823	+	0.999334i	$0.511615\pi$
$258$	−0.514244			−0.0320155
$259$	6.23734	−	19.1966i	0.387569	−	1.19282i
$260$	0.166279	−	0.120808i	0.0103122	−	0.00749222i
$261$	8.51930	−	2.76809i	0.527331	−	0.171340i
$262$	−1.51635	−	0.492692i	−0.0936805	−	0.0304386i
$263$	6.64794	+	4.83001i	0.409929	+	0.297831i	0.773573	−	0.633707i	$-0.218467\pi$
$263$	6.64794	+	4.83001i	0.409929	+	0.297831i	−0.363644	+	0.931538i	$0.618467\pi$
$264$	−2.45822	+	1.78600i	−0.151293	+	0.109921i
$265$			0.0420689i			0.00258427i
$266$	0.908362	+	0.659964i	0.0556953	+	0.0404650i
$267$	−1.17619	+	0.382167i	−0.0719817	+	0.0233883i
$268$	−5.51225	−	7.58696i	−0.336714	−	0.463447i
$269$	12.8988	−	9.37155i	0.786456	−	0.571394i	−0.120454	−	0.992719i	$-0.538435\pi$
$269$	12.8988	−	9.37155i	0.786456	−	0.571394i	0.906910	+	0.421325i	$0.138435\pi$
$270$	0.0132046	−	0.0181746i	0.000803608	−	0.00110607i
$271$	5.16988	−	15.9112i	0.314048	−	0.966539i	−0.662097	−	0.749418i	$-0.730333\pi$
$271$	5.16988	−	15.9112i	0.314048	−	0.966539i	0.976145	−	0.217121i	$-0.0696667\pi$
$272$	−10.1844	+	14.0176i	−0.617520	+	0.849943i
$273$			6.50099i			0.393458i
$274$	2.71352	+	3.73484i	0.163930	+	0.225630i
$275$	15.3816	+	21.1710i	0.927547	+	1.27666i
$276$		−	1.71401i		−	0.103172i
$277$	−1.53096	+	2.10719i	−0.0919866	+	0.126609i	−0.852530	−	0.522679i	$-0.824933\pi$
$277$	−1.53096	+	2.10719i	−0.0919866	+	0.126609i	0.760543	+	0.649287i	$0.224933\pi$
$278$	1.19204	−	3.66872i	0.0714939	−	0.220035i
$279$	3.92689	−	5.40490i	0.235097	−	0.323583i
$280$	0.154475	−	0.112233i	0.00923164	−	0.00670718i
$281$	14.5979	+	20.0924i	0.870841	+	1.19861i	0.978874	+	0.204462i	$0.0655445\pi$
$281$	14.5979	+	20.0924i	0.870841	+	1.19861i	−0.108034	+	0.994147i	$0.534455\pi$
$282$	0.218069	−	0.0708550i	0.0129858	−	0.00421936i
$283$	−16.1267	−	11.7167i	−0.958634	−	0.696488i	−0.00580103	−	0.999983i	$-0.501847\pi$
$283$	−16.1267	−	11.7167i	−0.958634	−	0.696488i	−0.952833	+	0.303495i	$0.901847\pi$
$284$		−	14.9557i		−	0.887457i
$285$	0.00356620	−	0.00259100i	0.000211244	−	0.000153477i
$286$	−9.41234	−	6.83846i	−0.556563	−	0.404367i
$287$	−29.8752	−	9.70703i	−1.76347	−	0.572988i
$288$	13.4071	−	4.35624i	0.790022	−	0.256694i
$289$	19.6753	−	14.2949i	1.15737	−	0.840878i
$290$	−0.0112587	+	0.0346508i	−0.000661136	+	0.00203477i
$291$	0.0636462			0.00373100
$292$	15.0732			0.882094
$293$	−4.35331	+	13.3981i	−0.254323	+	0.782726i	0.739639	+	0.673003i	$0.234996\pi$
$293$	−4.35331	+	13.3981i	−0.254323	+	0.782726i	−0.993962	+	0.109722i	$0.965004\pi$
$294$			1.76231i			0.102780i
$295$	−0.197178	−	0.0640671i	−0.0114802	−	0.00373013i
$296$	2.60438	+	8.01546i	0.151377	+	0.465889i
$297$	9.49685	+	3.08571i	0.551063	+	0.179051i
$298$	4.58907	+	6.31632i	0.265838	+	0.365894i
$299$	13.2781	−	4.31433i	0.767894	−	0.249504i
$300$	0.886895	+	2.72958i	0.0512049	+	0.157592i
$301$	4.43870	+	13.6609i	0.255842	+	0.787401i
$302$	6.22433	+	4.52224i	0.358170	+	0.260226i
$303$	2.39717	−	3.29943i	0.137714	−	0.189547i
$304$	1.48206			0.0850020
$305$	0.137081	−	0.136569i	0.00784926	−	0.00781994i
$306$	−8.84617			−0.505702
$307$	−3.99474	+	5.49828i	−0.227992	+	0.313804i	−0.907652	−	0.419723i	$-0.862127\pi$
$307$	−3.99474	+	5.49828i	−0.227992	+	0.313804i	0.679660	+	0.733527i	$0.262127\pi$
$308$	32.2764	+	23.4502i	1.83912	+	1.33620i
$309$	−1.14727	−	3.53093i	−0.0652658	−	0.200868i
$310$	0.00839696	+	0.0258432i	0.000476915	+	0.00146779i
$311$	8.58113	−	2.78818i	0.486591	−	0.158103i	−0.0554390	−	0.998462i	$-0.517656\pi$
$311$	8.58113	−	2.78818i	0.486591	−	0.158103i	0.542030	+	0.840359i	$0.317656\pi$
$312$	−1.59552	−	2.19605i	−0.0903288	−	0.124327i
$313$	−8.83040	−	2.86917i	−0.499124	−	0.162175i	0.0486265	−	0.998817i	$-0.484516\pi$
$313$	−8.83040	−	2.86917i	−0.499124	−	0.162175i	−0.547750	+	0.836642i	$0.684516\pi$
$314$	0.428733	+	1.31951i	0.0241948	+	0.0744640i
$315$	−0.293092	−	0.0952314i	−0.0165139	−	0.00536568i
$316$			15.3783i			0.865095i
$317$	6.55339	−	20.1693i	0.368075	−	1.13282i	−0.579958	−	0.814646i	$-0.696931\pi$
$317$	6.55339	−	20.1693i	0.368075	−	1.13282i	0.948033	−	0.318172i	$-0.103069\pi$
$318$	0.261173			0.0146459
$319$	−16.1947			−0.906729
$320$	0.0235548	−	0.0724942i	0.00131675	−	0.00405255i
$321$	3.43826	−	2.49804i	0.191905	−	0.139427i
$322$	5.79856	−	1.88407i	0.323141	−	0.104995i
$323$	−3.36136	−	1.09217i	−0.187031	−	0.0607702i
$324$	−11.5804	−	8.41367i	−0.643357	−	0.467426i
$325$	−18.9131	+	13.7412i	−1.04911	+	0.762225i
$326$		−	3.01859i		−	0.167184i
$327$	−1.57752	−	1.14613i	−0.0872368	−	0.0633813i
$328$	12.4743	−	4.05314i	0.688777	−	0.223797i
$329$	−3.76453	−	5.18143i	−0.207545	−	0.285662i
$330$	−0.0161372	+	0.0117243i	−0.000888322	+	0.000645404i
$331$	8.23615	−	11.3361i	0.452700	−	0.623087i	−0.520275	−	0.853999i	$-0.674171\pi$
$331$	8.23615	−	11.3361i	0.452700	−	0.623087i	0.972975	+	0.230911i	$0.0741707\pi$
$332$	−2.05273	+	6.31765i	−0.112658	+	0.346726i
$333$	7.99537	−	11.0047i	0.438143	−	0.603053i
$334$		−	9.56681i		−	0.523472i
$335$	−0.0769794	−	0.105953i	−0.00420584	−	0.00578884i
$336$	2.20265	+	3.03169i	0.120164	+	0.165392i
$337$			24.1093i			1.31332i	0.754187	+	0.656660i	$0.228031\pi$
$337$			24.1093i			1.31332i	−0.754187	+	0.656660i	$0.771969\pi$
$338$	2.47715	−	3.40951i	0.134739	−	0.185453i
$339$	−0.227894	+	0.701385i	−0.0123775	+	0.0380940i
$340$	−0.166069	+	0.228574i	−0.00900635	+	0.0123962i
$341$	−9.77154	+	7.09944i	−0.529159	+	0.384456i
$342$	0.444757	+	0.612156i	0.0240497	+	0.0331016i
$343$	18.2140	−	5.91809i	0.983465	−	0.319547i
$344$	−4.85217	−	3.52531i	−0.261611	−	0.190072i
$345$		−	0.0239365i		−	0.00128870i
$346$	4.21772	−	3.06435i	0.226746	−	0.164741i
$347$	2.86804	+	2.08376i	0.153965	+	0.111862i	0.662100	−	0.749415i	$-0.269665\pi$
$347$	2.86804	+	2.08376i	0.153965	+	0.111862i	−0.508136	+	0.861277i	$0.669665\pi$
$348$	−1.68922	−	0.548860i	−0.0905515	−	0.0294220i
$349$	11.2437	−	3.65329i	0.601859	−	0.195556i	0.00778975	−	0.999970i	$-0.497520\pi$
$349$	11.2437	−	3.65329i	0.601859	−	0.195556i	0.594069	+	0.804414i	$0.297520\pi$
$350$	−8.25937	+	6.00078i	−0.441482	+	0.320755i
$351$	−2.75663	+	8.48403i	−0.147138	+	0.452844i
$352$	−25.4862			−1.35842
$353$	−24.7615			−1.31792			−0.658961	−	0.752177i	$-0.729004\pi$
$353$	−24.7615			−1.31792			−0.658961	+	0.752177i	$0.729004\pi$
$354$	−0.397743	+	1.22413i	−0.0211398	+	0.0650616i
$355$		−	0.208859i		−	0.0110851i
$356$	−6.44834	−	2.09519i	−0.341761	−	0.111045i
$357$	−2.76155	−	8.49917i	−0.146157	−	0.449824i
$358$	5.34656	+	1.73720i	0.282575	+	0.0918141i
$359$	3.51972	+	4.84448i	0.185764	+	0.255682i	0.891734	−	0.452559i	$-0.149489\pi$
$359$	3.51972	+	4.84448i	0.185764	+	0.255682i	−0.705971	+	0.708241i	$0.749489\pi$
$360$	0.122380	−	0.0397636i	0.00644998	−	0.00209572i
$361$	−5.77790	−	17.7826i	−0.304100	−	0.935924i
$362$	−2.19817	−	6.76528i	−0.115533	−	0.355575i
$363$	−4.29314	−	3.11915i	−0.225331	−	0.163713i
$364$	−20.9492	+	28.8342i	−1.09804	+	1.51132i
$365$	0.210500			0.0110181
$366$	−0.847854	−	0.851032i	−0.0443180	−	0.0444842i
$367$	5.62441			0.293592			0.146796	−	0.989167i	$-0.453104\pi$
$367$	5.62441			0.293592			0.146796	+	0.989167i	$0.453104\pi$
$368$	4.73039	−	6.51082i	0.246588	−	0.339400i
$369$	−17.1263	−	12.4430i	−0.891561	−	0.647757i
$370$	0.0170967	+	0.0526182i	0.000888814	+	0.00273549i
$371$	−2.25431	−	6.93806i	−0.117038	−	0.360206i
$372$	−1.25985	+	0.409349i	−0.0653200	+	0.0212238i
$373$	−3.39338	−	4.67058i	−0.175702	−	0.241834i	0.712079	−	0.702100i	$-0.247754\pi$
$373$	−3.39338	−	4.67058i	−0.175702	−	0.241834i	−0.887781	+	0.460266i	$0.847754\pi$
$374$	15.2103	+	4.94212i	0.786504	+	0.255551i
$375$	0.0247728	+	0.0762428i	0.00127926	+	0.00393716i
$376$	2.54333	+	0.826380i	0.131162	+	0.0426173i
$377$		−	14.4676i		−	0.745117i
$378$	−1.20382	+	3.70497i	−0.0619178	+	0.190563i
$379$	11.8895			0.610724			0.305362	−	0.952236i	$-0.401223\pi$
$379$	11.8895			0.610724			0.305362	+	0.952236i	$0.401223\pi$
$380$	0.0241668			0.00123973
$381$	0.668231	−	2.05660i	0.0342345	−	0.105363i
$382$	6.24817	−	4.53956i	0.319684	−	0.232264i
$383$	−26.2862	+	8.54089i	−1.34316	+	0.436419i	−0.890386	−	0.455206i	$-0.849565\pi$
$383$	−26.2862	+	8.54089i	−1.34316	+	0.436419i	−0.452774	+	0.891625i	$0.649565\pi$
$384$	−3.44698	−	1.11999i	−0.175903	−	0.0571544i
$385$	0.450745	+	0.327485i	0.0229721	+	0.0166902i
$386$	−0.630414	+	0.458023i	−0.0320872	+	0.0233127i
$387$			9.68001i			0.492063i
$388$	0.282293	+	0.205098i	0.0143313	+	0.0104123i
$389$	−4.57350	+	1.48602i	−0.231886	+	0.0753442i	−0.422655	−	0.906291i	$-0.638902\pi$
$389$	−4.57350	+	1.48602i	−0.231886	+	0.0753442i	0.190769	+	0.981635i	$0.438902\pi$
$390$	−0.0104740	−	0.0144162i	−0.000530369	−	0.000729991i
$391$	−15.5267	+	11.2808i	−0.785219	+	0.570495i
$392$	−12.0812	+	16.6283i	−0.610193	+	0.839858i
$393$	0.335424	−	1.03233i	0.0169199	−	0.0520740i
$394$	−3.73344	+	5.13864i	−0.188088	+	0.258881i
$395$			0.214760i			0.0108057i
$396$	15.8033	+	21.7514i	0.794147	+	1.09305i
$397$	−19.9757	−	27.4942i	−1.00255	−	1.37990i	−0.923746	−	0.383006i	$-0.874889\pi$
$397$	−19.9757	−	27.4942i	−1.00255	−	1.37990i	−0.0788075	−	0.996890i	$-0.525111\pi$
$398$		−	0.225208i		−	0.0112886i
$399$	−0.449302	+	0.618411i	−0.0224932	+	0.0309593i
$400$	−4.16424	+	12.8162i	−0.208212	+	0.640811i
$401$	−12.8935	+	17.7464i	−0.643873	+	0.886215i	−0.998815	−	0.0486733i	$-0.984501\pi$
$401$	−12.8935	+	17.7464i	−0.643873	+	0.886215i	0.354942	+	0.934888i	$0.384501\pi$
$402$	−0.657781	+	0.477906i	−0.0328071	+	0.0238358i
$403$	−6.34230	−	8.72942i	−0.315932	−	0.434844i
$404$	21.2646	−	6.90928i	1.05795	−	0.343750i
$405$	−0.161722	−	0.117498i	−0.00803606	−	0.00583854i
$406$		−	6.31798i		−	0.313556i
$407$	−19.8954	+	14.4549i	−0.986178	+	0.716500i
$408$	3.01879	+	2.19328i	0.149452	+	0.108584i
$409$	19.5814	+	6.36238i	0.968238	+	0.314600i	0.750104	−	0.661319i	$-0.230003\pi$
$409$	19.5814	+	6.36238i	0.968238	+	0.314600i	0.218133	+	0.975919i	$0.430003\pi$
$410$	0.0818884	−	0.0266072i	0.00404418	−	0.00131403i
$411$	−2.54267	+	1.84736i	−0.125421	+	0.0911234i
$412$	6.28978	−	19.3579i	0.309875	−	0.953697i
$413$	35.9521			1.76909
$414$	4.10881			0.201937
$415$	−0.0286667	+	0.0882270i	−0.00140719	+	0.00433090i
$416$		−	22.7681i		−	1.11630i
$417$	2.49766	+	0.811538i	0.122311	+	0.0397412i
$418$	−0.422729	−	1.30103i	−0.0206763	−	0.0636352i
$419$	−1.19010	−	0.386688i	−0.0581403	−	0.0188909i	0.279802	−	0.960058i	$-0.409731\pi$
$419$	−1.19010	−	0.386688i	−0.0581403	−	0.0188909i	−0.337943	+	0.941167i	$0.609731\pi$
$420$	0.0359169	+	0.0494353i	0.00175256	+	0.00241220i
$421$	27.2858	−	8.86568i	1.32983	−	0.432087i	0.443968	−	0.896043i	$-0.353570\pi$
$421$	27.2858	−	8.86568i	1.32983	−	0.432087i	0.885858	+	0.463956i	$0.153570\pi$
$422$	−3.40258	−	10.4721i	−0.165635	−	0.509772i
$423$	−1.33376	−	4.10489i	−0.0648495	−	0.199586i
$424$	2.46431	+	1.79042i	0.119677	+	0.0869507i
$425$	18.8893	−	25.9989i	0.916265	−	1.26113i
$426$	−1.29664			−0.0628225
$427$	−15.2894	+	29.8689i	−0.739908	+	1.44546i
$428$	23.2997			1.12624
$429$	4.65561	−	6.40789i	0.224775	−	0.309376i
$430$	−0.0318525	−	0.0231422i	−0.00153606	−	0.00111602i
$431$	−10.0246	−	30.8525i	−0.482867	−	1.48611i	−0.835047	−	0.550179i	$-0.814559\pi$
$431$	−10.0246	−	30.8525i	−0.482867	−	1.48611i	0.352180	−	0.935932i	$-0.385441\pi$
$432$	1.58901	+	4.89046i	0.0764511	+	0.235292i
$433$	−18.4049	+	5.98012i	−0.884484	+	0.287386i	−0.715818	−	0.698287i	$-0.753946\pi$
$433$	−18.4049	+	5.98012i	−0.884484	+	0.287386i	−0.168666	+	0.985673i	$0.553946\pi$
$434$	−2.76968	−	3.81214i	−0.132949	−	0.182988i
$435$	−0.0235902	−	0.00766492i	−0.00113106	−	0.000367505i
$436$	−3.30346	−	10.1670i	−0.158207	−	0.486911i
$437$	1.56127	+	0.507286i	0.0746854	+	0.0242668i
$438$		−	1.30683i		−	0.0624429i
$439$	−7.62524	+	23.4681i	−0.363933	+	1.12007i	0.586714	+	0.809794i	$0.300421\pi$
$439$	−7.62524	+	23.4681i	−0.363933	+	1.12007i	−0.950647	+	0.310276i	$0.899579\pi$
$440$	−0.232637			−0.0110905
$441$	33.1733			1.57968
$442$	−4.41505	+	13.5881i	−0.210002	+	0.646321i
$443$	6.95647	−	5.05417i	0.330512	−	0.240131i	−0.410136	−	0.912024i	$-0.634519\pi$
$443$	6.95647	−	5.05417i	0.330512	−	0.240131i	0.740648	+	0.671894i	$0.234519\pi$
$444$	−2.56512	+	0.833458i	−0.121735	+	0.0395542i
$445$	−0.0900521	−	0.0292597i	−0.00426888	−	0.00138704i
$446$	4.65920	+	3.38511i	0.220619	+	0.160289i
$447$	−4.30013	+	3.12423i	−0.203389	+	0.147771i
$448$			13.2181i			0.624495i
$449$	22.1146	+	16.0672i	1.04365	+	0.758259i	0.970995	−	0.239098i	$-0.0768518\pi$
$449$	22.1146	+	16.0672i	1.04365	+	0.758259i	0.0726582	+	0.997357i	$0.476852\pi$
$450$	−6.54332	+	2.12605i	−0.308455	+	0.100223i
$451$	22.4958	+	30.9627i	1.05928	+	1.45798i
$452$	−3.27098	+	2.37651i	−0.153854	+	0.111781i
$453$	−3.07873	+	4.23751i	−0.144651	+	0.199095i
$454$	−4.03871	+	12.4299i	−0.189546	+	0.583362i
$455$	−0.292560	+	0.402674i	−0.0137154	+	0.0188776i
$456$		−	0.319172i		−	0.0149466i
$457$	−15.5050	−	21.3407i	−0.725292	−	0.998278i	−0.999331	−	0.0365598i	$-0.988360\pi$
$457$	−15.5050	−	21.3407i	−0.725292	−	0.998278i	0.274040	−	0.961718i	$-0.411640\pi$
$458$	7.43375	+	10.2317i	0.347356	+	0.478095i
$459$		−	12.2627i		−	0.572374i
$460$	0.0771346	−	0.106167i	0.00359642	−	0.00495005i
$461$	1.55330	−	4.78056i	0.0723443	−	0.222653i	−0.908346	−	0.418219i	$-0.862654\pi$
$461$	1.55330	−	4.78056i	0.0723443	−	0.222653i	0.980691	+	0.195566i	$0.0626545\pi$
$462$	2.03310	−	2.79833i	0.0945885	−	0.130190i
$463$	20.5691	−	14.9443i	0.955928	−	0.694522i	0.00372638	−	0.999993i	$-0.498814\pi$
$463$	20.5691	−	14.9443i	0.955928	−	0.694522i	0.952201	+	0.305471i	$0.0988139\pi$
$464$	−4.90186	−	6.74684i	−0.227563	−	0.313214i
$465$	−0.0175940	+	0.00571663i	−0.000815901	+	0.000265102i
$466$	8.00550	+	5.81634i	0.370848	+	0.269437i
$467$			19.0593i			0.881959i	0.897517	+	0.440980i	$0.145369\pi$
$467$			19.0593i			0.881959i	−0.897517	+	0.440980i	$0.854631\pi$
$468$	−19.4317	+	14.1179i	−0.898229	+	0.652602i
$469$	18.3732	+	13.3489i	0.848395	+	0.616395i
$470$	0.0166959	+	0.00542484i	0.000770126	+	0.000250229i
$471$	−0.898316	+	0.291880i	−0.0413922	+	0.0134491i
$472$	−12.1447	+	8.82364i	−0.559005	+	0.406141i
$473$	5.40796	−	16.6440i	0.248658	−	0.765292i
$474$	1.33328			0.0612395
$475$	−2.74882			−0.126124
$476$	15.1399	−	46.5958i	0.693936	−	2.13572i
$477$		−	4.91626i		−	0.225100i
$478$	−4.33225	−	1.40763i	−0.198153	−	0.0643837i
$479$	−1.82869	−	5.62813i	−0.0835549	−	0.257156i	0.900547	−	0.434758i	$-0.143166\pi$
$479$	−1.82869	−	5.62813i	−0.0835549	−	0.257156i	−0.984102	+	0.177602i	$0.943166\pi$
$480$	−0.0371247	−	0.0120625i	−0.00169450	−	0.000550577i
$481$	−12.9133	−	17.7736i	−0.588794	−	0.810406i
$482$	−0.499192	+	0.162197i	−0.0227376	+	0.00738789i
$483$	1.28267	+	3.94764i	0.0583634	+	0.179624i
$484$	−8.99020	−	27.6690i	−0.408646	−	1.25768i
$485$	0.00394227	+	0.00286422i	0.000179009	+	0.000130058i
$486$	−2.32839	+	3.20475i	−0.105618	+	0.145370i
$487$	35.0042			1.58619			0.793095	−	0.609098i	$-0.208468\pi$
$487$	35.0042			1.58619			0.793095	+	0.609098i	$0.208468\pi$
$488$	−2.16586	−	13.8423i	−0.0980438	−	0.626609i
$489$	2.05505			0.0929324
$490$	−0.0793081	+	0.109158i	−0.00358277	+	0.00493126i
$491$	−27.8860	−	20.2604i	−1.25848	−	0.914337i	−0.259795	−	0.965664i	$-0.583655\pi$
$491$	−27.8860	−	20.2604i	−1.25848	−	0.914337i	−0.998682	+	0.0513269i	$0.983655\pi$
$492$	1.29709	+	3.99204i	0.0584774	+	0.179975i
$493$	6.14566	+	18.9144i	0.276786	+	0.851861i
$494$	1.16227	−	0.377646i	0.0522932	−	0.0169911i
$495$	0.220696	+	0.303762i	0.00991955	+	0.0136531i
$496$	−5.91537	−	1.92202i	−0.265608	−	0.0863012i
$497$	11.1920	+	34.4453i	0.502028	+	1.54508i
$498$	0.547733	+	0.177969i	0.0245445	+	0.00797500i
$499$		−	16.8371i		−	0.753731i	−0.926268	−	0.376865i	$-0.877002\pi$
$499$		−	16.8371i		−	0.753731i	0.926268	−	0.376865i	$-0.122998\pi$
$500$	−0.135814	+	0.417993i	−0.00607379	+	0.0186932i
$501$	6.51306			0.290982
$502$	5.98080			0.266936
$503$	−9.15061	+	28.1627i	−0.408005	+	1.25571i	0.510354	+	0.859964i	$0.329514\pi$
$503$	−9.15061	+	28.1627i	−0.408005	+	1.25571i	−0.918359	+	0.395747i	$0.870486\pi$
$504$	−18.0523	+	13.1157i	−0.804112	+	0.584222i
$505$	0.296964	−	0.0964893i	0.0132147	−	0.00429372i
$506$	−7.06477	−	2.29548i	−0.314067	−	0.102047i
$507$	2.32119	+	1.68644i	0.103088	+	0.0748975i
$508$	9.59117	−	6.96839i	0.425539	−	0.309173i
$509$		−	13.5023i		−	0.598479i	−0.954178	−	0.299239i	$-0.903267\pi$
$509$		−	13.5023i		−	0.598479i	0.954178	−	0.299239i	$-0.0967329\pi$
$510$	0.0198171	+	0.0143980i	0.000877517	+	0.000637553i
$511$	−34.7160	+	11.2799i	−1.53575	+	0.498994i
$512$	−13.3986	−	18.4415i	−0.592139	−	0.815009i
$513$	−0.848581	+	0.616530i	−0.0374658	+	0.0272205i
$514$	−0.326799	+	0.449801i	−0.0144145	+	0.0198399i
$515$	0.0878378	−	0.270337i	0.00387060	−	0.0119125i
$516$	1.12817	−	1.55280i	0.0496651	−	0.0683581i
$517$			7.80315i			0.343182i
$518$	−5.63922	−	7.76172i	−0.247773	−	0.341031i
$519$	2.08620	+	2.87141i	0.0915742	+	0.126041i
$520$		−	0.207827i		−	0.00911380i
$521$	−18.1181	+	24.9375i	−0.793770	+	1.09253i	0.199859	+	0.979825i	$0.435952\pi$
$521$	−18.1181	+	24.9375i	−0.793770	+	1.09253i	−0.993628	+	0.112705i	$0.964048\pi$
$522$	1.31572	−	4.04937i	0.0575875	−	0.177236i
$523$	6.87300	−	9.45988i	0.300535	−	0.413652i	−0.631865	−	0.775078i	$-0.717710\pi$
$523$	6.87300	−	9.45988i	0.300535	−	0.413652i	0.932400	+	0.361427i	$0.117710\pi$
$524$	4.81436	−	3.49784i	0.210316	−	0.152804i
$525$	−4.08532	−	5.62295i	−0.178298	−	0.245406i
$526$	3.71466	−	1.20697i	0.161967	−	0.0526263i
$527$	11.9999	+	8.71841i	0.522722	+	0.379780i
$528$		−	4.56568i		−	0.198696i
$529$	−11.3956	+	8.27942i	−0.495463	+	0.359975i
$530$	0.0161772	+	0.0117534i	0.000702691	+	0.000510535i
$531$	23.0427	+	7.48702i	0.999967	+	0.324909i
$532$	−3.98562	+	1.29501i	−0.172799	+	0.0561456i
$533$	−27.6606	+	20.0966i	−1.19811	+	0.870481i
$534$	−0.181651	+	0.559063i	−0.00786080	+	0.0241930i
$535$	0.325385			0.0140676
$536$	−9.48271			−0.409591
$537$	−1.18268	+	3.63993i	−0.0510366	+	0.157074i
$538$		−	7.57838i		−	0.326727i
$539$	−57.0388	−	18.5330i	−2.45684	−	0.798274i
$540$	0.0259106	+	0.0797447i	0.00111502	+	0.00343167i
$541$	24.3834	+	7.92264i	1.04832	+	0.340621i	0.782010	−	0.623265i	$-0.214194\pi$
$541$	24.3834	+	7.92264i	1.04832	+	0.340621i	0.266313	+	0.963886i	$0.414194\pi$
$542$	−4.67412	−	6.43338i	−0.200771	−	0.276337i
$543$	4.60578	−	1.49651i	0.197653	−	0.0642214i
$544$	9.67164	+	29.7662i	0.414668	+	1.27622i
$545$	−0.0461333	−	0.141984i	−0.00197613	−	0.00608192i
$546$	2.49989	+	1.81628i	0.106985	+	0.0777295i
$547$	5.85781	−	8.06259i	0.250462	−	0.344731i	−0.665211	−	0.746655i	$-0.731658\pi$
$547$	5.85781	−	8.06259i	0.250462	−	0.344731i	0.915673	+	0.401924i	$0.131658\pi$
$548$	−17.2307			−0.736058
$549$	−16.0196	+	15.9598i	−0.683701	+	0.681148i
$550$	12.4385			0.530378
$551$	0.999893	−	1.37623i	0.0425969	−	0.0586296i
$552$	−1.40215	−	1.01872i	−0.0596794	−	0.0433597i
$553$	−11.5082	−	35.4186i	−0.489378	−	1.50615i
$554$	0.382571	+	1.17743i	0.0162539	+	0.0500243i
$555$	−0.0358223	+	0.0116394i	−0.00152057	+	0.000494064i
$556$	8.46283	+	11.6481i	0.358904	+	0.493989i
$557$	−3.84449	−	1.24915i	−0.162896	−	0.0529282i	0.226434	−	0.974027i	$-0.427293\pi$
$557$	−3.84449	−	1.24915i	−0.162896	−	0.0529282i	−0.389330	+	0.921098i	$0.627293\pi$
$558$	−0.981287	−	3.02009i	−0.0415412	−	0.127851i
$559$	14.8689	+	4.83121i	0.628889	+	0.204338i
$560$			0.286908i			0.0121241i
$561$	−3.36458	+	10.3551i	−0.142053	+	0.437193i
$562$	11.8047			0.497953
$563$	−35.4419			−1.49370			−0.746848	−	0.664995i	$-0.768434\pi$
$563$	−35.4419			−1.49370			−0.746848	+	0.664995i	$0.768434\pi$
$564$	−0.264459	+	0.813922i	−0.0111357	+	0.0342723i
$565$	−0.0456798	+	0.0331883i	−0.00192176	+	0.00139624i
$566$	−9.01111	+	2.92789i	−0.378765	+	0.123068i
$567$	32.9678	+	10.7119i	1.38452	+	0.449857i
$568$	−12.2345	−	8.88889i	−0.513349	−	0.372970i
$569$	36.1537	−	26.2672i	1.51564	−	1.10118i	0.552045	−	0.833815i	$-0.313848\pi$
$569$	36.1537	−	26.2672i	1.51564	−	1.10118i	0.963596	−	0.267363i	$-0.0861522\pi$
$570$		−	0.00209523i		−	8.77596e-5i
$571$	−20.0884	−	14.5951i	−0.840674	−	0.610786i	0.0818845	−	0.996642i	$-0.473906\pi$
$571$	−20.0884	−	14.5951i	−0.840674	−	0.610786i	−0.922559	+	0.385856i	$0.873906\pi$
$572$	41.2985	−	13.4187i	1.72678	−	0.561064i
$573$	3.09052	+	4.25373i	0.129108	+	0.177702i
$574$	−12.0794	+	8.77619i	−0.504184	+	0.366311i
$575$	−8.77358	+	12.0758i	−0.365883	+	0.503595i
$576$	−2.75266	+	8.47183i	−0.114694	+	0.352993i
$577$	−12.6816	+	17.4547i	−0.527942	+	0.726649i	−0.986815	−	0.161852i	$-0.948253\pi$
$577$	−12.6816	+	17.4547i	−0.527942	+	0.726649i	0.458873	+	0.888502i	$0.348253\pi$
$578$		−	11.5597i		−	0.480821i
$579$	−0.311821	−	0.429184i	−0.0129588	−	0.0178363i
$580$	−0.0799307	−	0.110015i	−0.00331894	−	0.00456813i
$581$		−	16.0867i		−	0.667388i
$582$	0.0177818	−	0.0244745i	0.000737077	−	0.00101450i
$583$	−2.74658	+	8.45311i	−0.113752	+	0.350092i
$584$	8.95875	−	12.3307i	0.370716	−	0.510246i
$585$	−0.271366	+	0.197159i	−0.0112196	+	0.00815153i
$586$	3.93586	+	5.41724i	0.162589	+	0.223784i
$587$	−14.4595	+	4.69818i	−0.596808	+	0.193915i	−0.591816	−	0.806073i	$-0.701589\pi$
$587$	−14.4595	+	4.69818i	−0.596808	+	0.193915i	−0.00499165	+	0.999988i	$0.501589\pi$
$588$	−5.32143	−	3.86624i	−0.219452	−	0.159441i
$589$		−	1.26873i		−	0.0522769i
$590$	−0.0797249	+	0.0579235i	−0.00328222	+	0.00238467i
$591$	−3.49837	−	2.54172i	−0.143904	−	0.104552i
$592$	−12.0440	−	3.91334i	−0.495006	−	0.160837i
$593$	25.7002	−	8.35052i	1.05538	−	0.342915i	0.270604	−	0.962691i	$-0.412777\pi$
$593$	25.7002	−	8.35052i	1.05538	−	0.342915i	0.784779	+	0.619776i	$0.212777\pi$
$594$	3.83985	−	2.78982i	0.157551	−	0.114468i
$595$	0.211431	−	0.650718i	0.00866783	−	0.0266768i
$596$	−29.1403			−1.19363
$597$	0.153321			0.00627500
$598$	2.05067	−	6.31132i	0.0838583	−	0.258089i
$599$		−	22.3445i		−	0.912970i	−0.889731	−	0.456485i	$-0.849108\pi$
$599$		−	22.3445i		−	0.912970i	0.889731	−	0.456485i	$-0.150892\pi$
$600$	2.76006	+	0.896798i	0.112679	+	0.0366116i
$601$	13.1843	+	40.5772i	0.537800	+	1.65518i	0.737520	+	0.675326i	$0.235997\pi$
$601$	13.1843	+	40.5772i	0.537800	+	1.65518i	−0.199720	+	0.979853i	$0.564003\pi$
$602$	6.49326	+	2.10979i	0.264646	+	0.0859886i
$603$	8.99598	+	12.3819i	0.366345	+	0.504230i
$604$	−27.3105	+	8.87371i	−1.11125	+	0.361066i
$605$	−0.125550	−	0.386402i	−0.00510432	−	0.0157095i
$606$	−0.599027	−	1.84362i	−0.0243338	−	0.0748918i
$607$	17.9033	+	13.0075i	0.726672	+	0.527958i	0.888509	−	0.458859i	$-0.151742\pi$
$607$	17.9033	+	13.0075i	0.726672	+	0.527958i	−0.161837	+	0.986818i	$0.551742\pi$
$608$	1.57357	−	2.16583i	0.0638166	−	0.0878360i
$609$	4.30126			0.174296
$610$	−0.0142180	−	0.0908686i	−0.000575668	−	0.00367916i
$611$	−6.97096			−0.282015
$612$	19.4072	−	26.7117i	0.784488	−	1.07975i
$613$	1.96924	+	1.43074i	0.0795369	+	0.0577869i	0.626843	−	0.779146i	$-0.284347\pi$
$613$	1.96924	+	1.43074i	0.0795369	+	0.0577869i	−0.547306	+	0.836932i	$0.684347\pi$
$614$	0.998241	+	3.07227i	0.0402857	+	0.123987i
$615$	0.0181141	+	0.0557494i	0.000730431	+	0.00224803i
$616$	38.3668	−	12.4661i	1.54584	−	0.502275i
$617$	−21.0553	−	28.9801i	−0.847654	−	1.16670i	−0.984375	−	0.176086i	$-0.943656\pi$
$617$	−21.0553	−	28.9801i	−0.847654	−	1.16670i	0.136721	−	0.990610i	$-0.456344\pi$
$618$	−1.67831	−	0.545317i	−0.0675116	−	0.0219359i
$619$	0.446183	+	1.37321i	0.0179336	+	0.0551940i	0.959623	−	0.281290i	$-0.0907622\pi$
$619$	0.446183	+	1.37321i	0.0179336	+	0.0551940i	−0.941689	+	0.336484i	$0.890762\pi$
$620$	−0.0964571	−	0.0313408i	−0.00387381	−	0.00125868i
$621$			5.69571i			0.228561i
$622$	1.32527	−	4.07876i	0.0531385	−	0.163543i
$623$	16.4194			0.657831
$624$	4.07875			0.163281
$625$	7.72258	−	23.7677i	0.308903	−	0.950706i
$626$	−3.57039	+	2.59404i	−0.142701	+	0.103679i
$627$	0.885735	−	0.287793i	0.0353728	−	0.0114933i
$628$	−4.92492	−	1.60020i	−0.196526	−	0.0638551i
$629$	24.4324	+	17.7512i	0.974183	+	0.707785i
$630$	−0.118506	+	0.0860994i	−0.00472138	+	0.00343028i
$631$			31.6219i			1.25885i	0.777063	+	0.629423i	$0.216709\pi$
$631$			31.6219i			1.25885i	−0.777063	+	0.629423i	$0.783291\pi$
$632$	12.5802	+	9.14005i	0.500413	+	0.363571i
$633$	7.12936	−	2.31647i	0.283367	−	0.0920714i
$634$	−5.92496	−	8.15501i	−0.235310	−	0.323877i
$635$	0.133942	−	0.0973148i	0.00531534	−	0.00386182i
$636$	−0.572974	+	0.788631i	−0.0227199	+	0.0312713i
$637$	16.5565	−	50.9557i	0.655993	−	2.01894i
$638$	−4.52455	+	6.22750i	−0.179128	+	0.246549i
$639$			24.4077i			0.965553i
$640$	−0.163105	−	0.224495i	−0.00644730	−	0.00887394i
$641$	22.0915	+	30.4063i	0.872560	+	1.20098i	0.978426	+	0.206596i	$0.0662385\pi$
$641$	22.0915	+	30.4063i	0.872560	+	1.20098i	−0.105866	+	0.994380i	$0.533762\pi$
$642$		−	2.02006i		−	0.0797255i
$643$	12.2435	−	16.8518i	0.482838	−	0.664569i	−0.496209	−	0.868203i	$-0.665275\pi$
$643$	12.2435	−	16.8518i	0.482838	−	0.664569i	0.979047	+	0.203634i	$0.0652752\pi$
$644$	−7.03208	+	21.6425i	−0.277103	+	0.852835i
$645$	0.0157551	−	0.0216851i	0.000620358	−	0.000853850i
$646$	−1.35910	+	0.987442i	−0.0534730	+	0.0388504i
$647$	−13.9976	−	19.2661i	−0.550303	−	0.757427i	0.439750	−	0.898120i	$-0.355067\pi$
$647$	−13.9976	−	19.2661i	−0.550303	−	0.757427i	−0.990053	+	0.140693i	$0.955067\pi$
$648$	−13.7656	+	4.47272i	−0.540764	+	0.175705i
$649$	−35.4372	−	25.7466i	−1.39103	−	1.01064i
$650$			11.1119i			0.435846i
$651$	2.59529	−	1.88559i	0.101718	−	0.0739021i
$652$	9.11484	+	6.62232i	0.356965	+	0.259350i
$653$	37.1159	+	12.0597i	1.45246	+	0.471932i	0.925757	−	0.378120i	$-0.123429\pi$
$653$	37.1159	+	12.0597i	1.45246	+	0.471932i	0.526699	+	0.850052i	$0.323429\pi$
$654$	−0.881467	+	0.286406i	−0.0344681	+	0.0111994i
$655$	0.0672334	−	0.0488479i	0.00262703	−	0.00190865i
$656$	−6.09024	+	18.7438i	−0.237784	+	0.731823i
$657$	−24.5995			−0.959718
$658$	−3.04422			−0.118676
$659$	−7.50103	+	23.0858i	−0.292199	+	0.899295i	0.691949	+	0.721946i	$0.256752\pi$
$659$	−7.50103	+	23.0858i	−0.292199	+	0.899295i	−0.984148	+	0.177349i	$0.943248\pi$
$660$		−	0.0744488i		−	0.00289792i
$661$	−3.26296	−	1.06020i	−0.126914	−	0.0412370i	0.244871	−	0.969556i	$-0.421254\pi$
$661$	−3.26296	−	1.06020i	−0.126914	−	0.0412370i	−0.371786	+	0.928319i	$0.621254\pi$
$662$	−2.05812	−	6.33425i	−0.0799912	−	0.246188i
$663$	−9.25076	−	3.00575i	−0.359270	−	0.116734i
$664$	3.94812	+	5.43412i	0.153217	+	0.210885i
$665$	−0.0556598	+	0.0180850i	−0.00215840	+	0.000701305i
$666$	−1.99795	−	6.14907i	−0.0774192	−	0.238272i
$667$	−2.85450	−	8.78524i	−0.110527	−	0.340166i
$668$	28.8877	+	20.9881i	1.11770	+	0.812055i
$669$	−2.30457	+	3.17197i	−0.0890999	+	0.122635i
$670$	−0.0622500			−0.00240493
$671$	36.4608	−	18.4918i	1.40755	−	0.713870i
$672$	6.76905			0.261122
$673$	−9.45520	+	13.0140i	−0.364471	+	0.501652i	−0.951388	−	0.307996i	$-0.900342\pi$
$673$	−9.45520	+	13.0140i	−0.364471	+	0.501652i	0.586916	+	0.809647i	$0.300342\pi$
$674$	9.27100	+	6.73577i	0.357105	+	0.259452i
$675$	−2.94717	−	9.07046i	−0.113437	−	0.349122i
$676$	4.86077	+	14.9599i	0.186953	+	0.575381i
$677$	38.4386	−	12.4895i	1.47732	−	0.480009i	0.544006	−	0.839081i	$-0.316907\pi$
$677$	38.4386	−	12.4895i	1.47732	−	0.480009i	0.933310	+	0.359072i	$0.116907\pi$
$678$	0.206040	+	0.283590i	0.00791293	+	0.0108912i
$679$	−0.803648	−	0.261121i	−0.0308412	−	0.0100209i
$680$	0.0882824	+	0.271705i	0.00338548	+	0.0104194i
$681$	−8.46221	−	2.74954i	−0.324273	−	0.105363i
$682$			5.74102i			0.219835i
$683$	2.36216	−	7.26999i	0.0903856	−	0.278178i	−0.895638	−	0.444784i	$-0.853281\pi$
$683$	2.36216	−	7.26999i	0.0903856	−	0.278178i	0.986024	+	0.166605i	$0.0532806\pi$
$684$	−2.82418			−0.107985
$685$	−0.240629			−0.00919397
$686$	2.81297	−	8.65744i	0.107400	−	0.330543i
$687$	−6.96570	+	5.06088i	−0.265758	+	0.193084i
$688$	8.57092	−	2.78486i	0.326763	−	0.106172i
$689$	−7.55160	−	2.45366i	−0.287693	−	0.0934771i
$690$	−0.00920453	−	0.00668748i	−0.000350411	−	0.000254588i
$691$	−13.9741	+	10.1528i	−0.531600	+	0.386230i	−0.820956	−	0.570991i	$-0.806559\pi$
$691$	−13.9741	+	10.1528i	−0.531600	+	0.386230i	0.289356	+	0.957222i	$0.406559\pi$
$692$			19.4585i			0.739699i
$693$	−52.6750	−	38.2706i	−2.00096	−	1.45378i
$694$	1.60257	−	0.520708i	0.0608329	−	0.0197658i
$695$	0.118185	+	0.162667i	0.00448300	+	0.00617033i
$696$	−1.45298	+	1.05565i	−0.0550750	+	0.0400143i
$697$	27.6257	−	38.0236i	1.04640	−	1.44025i
$698$	1.73647	−	5.34430i	0.0657264	−	0.202285i
$699$	−3.95975	+	5.45012i	−0.149771	+	0.206143i
$700$		−	38.1046i		−	1.44022i
$701$	−9.63300	−	13.2587i	−0.363833	−	0.500774i	0.587378	−	0.809312i	$-0.300160\pi$
$701$	−9.63300	−	13.2587i	−0.363833	−	0.500774i	−0.951212	+	0.308539i	$0.900160\pi$
$702$	2.49229	+	3.43034i	0.0940653	+	0.129470i
$703$		−	2.58320i		−	0.0974271i
$704$	9.46597	−	13.0288i	0.356762	−	0.491041i
$705$	−0.00369322	+	0.0113666i	−0.000139095	+	0.000428089i
$706$	−6.91798	+	9.52178i	−0.260362	+	0.358357i
$707$	−43.8052	+	31.8263i	−1.64746	+	1.19695i
$708$	−2.82375	−	3.88656i	−0.106123	−	0.146066i
$709$	−25.6893	+	8.34695i	−0.964781	+	0.313476i	−0.748707	−	0.662901i	$-0.769325\pi$
$709$	−25.6893	+	8.34695i	−0.964781	+	0.313476i	−0.216074	+	0.976377i	$0.569325\pi$
$710$	−0.0803145	−	0.0583519i	−0.00301415	−	0.00218991i
$711$		−	25.0973i		−	0.941223i
$712$	−5.54653	+	4.02979i	−0.207865	+	0.151023i
$713$	−5.57362	−	4.04947i	−0.208734	−	0.151654i
$714$	−4.03980	−	1.31261i	−0.151186	−	0.0491233i
$715$	0.576740	−	0.187394i	0.0215689	−	0.00700815i
$716$	−16.9752	+	12.3332i	−0.634392	+	0.460913i
$717$	0.958314	−	2.94939i	0.0357889	−	0.110147i
$718$	2.84625			0.106221
$719$	39.2469			1.46366			0.731832	−	0.681485i	$-0.238666\pi$
$719$	39.2469			1.46366			0.731832	+	0.681485i	$0.238666\pi$
$720$	−0.0597487	+	0.183888i	−0.00222670	+	0.00685308i
$721$			49.2913i			1.83570i
$722$	−8.45236	−	2.74634i	−0.314564	−	0.102208i
$723$	−0.110424	−	0.339849i	−0.00410669	−	0.0126391i
$724$	25.2507	+	8.20446i	0.938436	+	0.304916i
$725$	9.09162	+	12.5135i	0.337654	+	0.464741i
$726$	−2.39887	+	0.779441i	−0.0890305	+	0.0289278i
$727$	3.01253	+	9.27160i	0.111728	+	0.343865i	0.991251	−	0.131993i	$-0.0421377\pi$
$727$	3.01253	+	9.27160i	0.111728	+	0.343865i	−0.879522	+	0.475858i	$0.842138\pi$
$728$	11.1366	+	34.2751i	0.412752	+	1.27032i
$729$	17.4010	+	12.6426i	0.644481	+	0.468243i
$730$	0.0588105	−	0.0809457i	0.00217667	−	0.00299593i
$731$	−21.4914			−0.794888
$732$	4.42982	−	0.693121i	0.163731	−	0.0256185i
$733$	−39.5744			−1.46171			−0.730857	−	0.682531i	$-0.760879\pi$
$733$	−39.5744			−1.46171			−0.730857	+	0.682531i	$0.760879\pi$
$734$	1.57137	−	2.16281i	0.0580004	−	0.0798307i
$735$	−0.0743146	−	0.0539927i	−0.00274114	−	0.00199155i
$736$	−4.49222	−	13.8256i	−0.165585	−	0.509620i
$737$	−8.55042	−	26.3155i	−0.314959	−	0.969344i
$738$	−9.56966	+	3.10937i	−0.352264	+	0.114458i
$739$	−12.0900	−	16.6404i	−0.444737	−	0.612129i	0.526519	−	0.850163i	$-0.323497\pi$
$739$	−12.0900	−	16.6404i	−0.444737	−	0.612129i	−0.971257	+	0.238035i	$0.923497\pi$
$740$	−0.196392	−	0.0638116i	−0.00721951	−	0.00234576i
$741$	0.257100	+	0.791273i	0.00944481	+	0.0290681i
$742$	−3.29778	−	1.07151i	−0.121065	−	0.0393365i
$743$			13.4831i			0.494647i	0.968933	+	0.247323i	$0.0795510\pi$
$743$			13.4831i			0.494647i	−0.968933	+	0.247323i	$0.920449\pi$
$744$	−0.413920	+	1.27391i	−0.0151750	+	0.0467040i
$745$	−0.406949			−0.0149095
$746$	−2.74408			−0.100468
$747$	3.35005	−	10.3104i	0.122572	−	0.377238i
$748$	−48.2921	+	35.0863i	−1.76573	+	1.28288i
$749$	−53.6630	+	17.4362i	−1.96080	+	0.637103i
$750$	0.0362395	+	0.0117749i	0.00132328	+	0.000429960i
$751$	−18.2516	−	13.2606i	−0.666011	−	0.483885i	0.202677	−	0.979246i	$-0.435036\pi$
$751$	−18.2516	−	13.2606i	−0.666011	−	0.483885i	−0.868687	+	0.495361i	$0.835036\pi$
$752$	−3.25086	+	2.36188i	−0.118546	+	0.0861291i
$753$			4.07171i			0.148381i
$754$	−5.56335	−	4.04201i	−0.202605	−	0.147201i
$755$	−0.381395	+	0.123923i	−0.0138804	+	0.00451001i
$756$	−8.54644	−	11.7632i	−0.310831	−	0.427822i
$757$	7.60912	−	5.52835i	0.276558	−	0.200931i	−0.440857	−	0.897578i	$-0.645325\pi$
$757$	7.60912	−	5.52835i	0.276558	−	0.200931i	0.717415	+	0.696646i	$0.245325\pi$
$758$	3.32175	−	4.57199i	0.120651	−	0.166062i
$759$	1.56276	−	4.80968i	0.0567245	−	0.174580i
$760$	0.0143635	−	0.0197696i	0.000521018	−	0.000717120i
$761$		−	46.8048i		−	1.69667i	−0.529459	−	0.848335i	$-0.677605\pi$
$761$		−	46.8048i		−	1.69667i	0.529459	−	0.848335i	$-0.322395\pi$
$762$	−0.604152	−	0.831544i	−0.0218861	−	0.0301237i
$763$	15.2168	+	20.9441i	0.550884	+	0.758226i
$764$			28.8259i			1.04288i
$765$	0.271024	−	0.373033i	0.00979890	−	0.0134870i
$766$	−4.05963	+	12.4943i	−0.146680	+	0.451436i
$767$	23.0008	−	31.6579i	0.830511	−	1.14310i
$768$	0.217185	−	0.157794i	0.00783700	−	0.00569391i
$769$	−0.862673	−	1.18737i	−0.0311088	−	0.0428175i	0.793179	−	0.608988i	$-0.208424\pi$
$769$	−0.862673	−	1.18737i	−0.0311088	−	0.0428175i	−0.824288	+	0.566171i	$0.808424\pi$
$770$	0.251862	−	0.0818350i	0.00907649	−	0.00294913i
$771$	−0.306223	−	0.222484i	−0.0110284	−	0.00801257i
$772$		−	2.90841i		−	0.104676i
$773$	−5.27447	+	3.83213i	−0.189710	+	0.137832i	−0.678586	−	0.734521i	$-0.737407\pi$
$773$	−5.27447	+	3.83213i	−0.189710	+	0.137832i	0.488876	+	0.872353i	$0.337407\pi$
$774$	3.72235	+	2.70445i	0.133797	+	0.0972093i
$775$	10.9714	+	3.56482i	0.394104	+	0.128052i
$776$	0.335561	−	0.109030i	0.0120459	−	0.00391396i
$777$	5.28416	−	3.83917i	0.189568	−	0.137729i
$778$	−0.706331	+	2.17386i	−0.0253232	+	0.0779368i
$779$	−4.02017			−0.144037
$780$	0.0665090			0.00238140
$781$	13.6359	−	41.9670i	0.487931	−	1.50170i
$782$			9.12231i			0.326213i
$783$	5.61330	+	1.82387i	0.200603	+	0.0651799i
$784$	−9.54369	−	29.3725i	−0.340846	−	1.04902i
$785$	−0.0687773	−	0.0223471i	−0.00245477	−	0.000797602i
$786$	−0.303259	−	0.417400i	−0.0108169	−	0.0148882i
$787$	24.9499	−	8.10670i	0.889366	−	0.288973i	0.171525	−	0.985180i	$-0.445130\pi$
$787$	24.9499	−	8.10670i	0.889366	−	0.288973i	0.717841	+	0.696207i	$0.245130\pi$
$788$	−7.32590	−	22.5468i	−0.260974	−	0.803197i
$789$	0.821700	+	2.52893i	0.0292533	+	0.0900324i
$790$	0.0825838	+	0.0600006i	0.00293820	+	0.00213473i
$791$	5.75514	−	7.92127i	0.204629	−	0.281648i
$792$	27.1864			0.966028
$793$	16.5197	+	32.5723i	0.586632	+	1.15668i
$794$	−16.1535			−0.573268
$795$	−0.00800168	+	0.0110134i	−0.000283790	+	0.000390604i
$796$	0.680031	+	0.494071i	0.0241031	+	0.0175119i
$797$	4.06508	+	12.5110i	0.143992	+	0.443163i	0.996880	−	0.0789314i	$-0.0251508\pi$
$797$	4.06508	+	12.5110i	0.143992	+	0.443163i	−0.852888	+	0.522095i	$0.825151\pi$
$798$	0.112276	+	0.345549i	0.00397451	+	0.0122323i
$799$	9.11359	−	2.96119i	0.322416	−	0.104759i
$800$	14.3078	+	19.6930i	0.505857	+	0.696253i
$801$	10.5237	+	3.41935i	0.371836	+	0.120817i
$802$	3.22196	+	9.91616i	0.113771	+	0.350152i
$803$	42.2968	+	13.7431i	1.49262	+	0.484983i
$804$		−	3.03467i		−	0.107025i
$805$	−0.0982042	+	0.302241i	−0.00346124	+	0.0106526i
$806$	−5.12875			−0.180652
$807$	5.15934			0.181618
$808$	6.98643	−	21.5020i	0.245782	−	0.756439i
$809$	−27.7160	+	20.1369i	−0.974443	+	0.707974i	−0.956460	−	0.291864i	$-0.905724\pi$
$809$	−27.7160	+	20.1369i	−0.974443	+	0.707974i	−0.0179829	+	0.999838i	$0.505724\pi$
$810$	−0.0903655	+	0.0293615i	−0.00317512	+	0.00103166i
$811$	−50.1805	−	16.3046i	−1.76208	−	0.572533i	−0.764664	−	0.644429i	$-0.777095\pi$
$811$	−50.1805	−	16.3046i	−1.76208	−	0.572533i	−0.997412	+	0.0718958i	$0.977095\pi$
$812$	19.0776	+	13.8607i	0.669493	+	0.486415i
$813$	4.37983	−	3.18213i	0.153607	−	0.111602i
$814$			11.6890i			0.409700i
$815$	0.127290	+	0.0924818i	0.00445879	+	0.00323950i
$816$	−5.33242	+	1.73261i	−0.186672	+	0.0606535i
$817$	1.08052	+	1.48721i	0.0378026	+	0.0520308i
$818$	7.91733	−	5.75228i	0.276823	−	0.201124i
$819$	34.1892	−	47.0573i	1.19467	−	1.64432i
$820$	−0.0993086	+	0.305640i	−0.00346801	+	0.0106734i
$821$	−7.66637	+	10.5518i	−0.267558	+	0.368262i	−0.921563	−	0.388228i	$-0.873087\pi$
$821$	−7.66637	+	10.5518i	−0.267558	+	0.368262i	0.654005	+	0.756490i	$0.273087\pi$
$822$			1.49388i			0.0521050i
$823$	−24.3678	−	33.5394i	−0.849408	−	1.16911i	−0.983993	−	0.178207i	$-0.942970\pi$
$823$	−24.3678	−	33.5394i	−0.849408	−	1.16911i	0.134585	−	0.990902i	$-0.457030\pi$
$824$	−12.0975	−	16.6507i	−0.421435	−	0.580055i
$825$			8.46808i			0.294821i
$826$	10.0445	−	13.8250i	0.349491	−	0.481033i
$827$	14.1688	−	43.6071i	0.492697	−	1.51637i	−0.327818	−	0.944741i	$-0.606313\pi$
$827$	14.1688	−	43.6071i	0.492697	−	1.51637i	0.820515	−	0.571625i	$-0.193687\pi$
$828$	−9.01411	+	12.4069i	−0.313262	+	0.431168i
$829$	−30.3342	+	22.0391i	−1.05355	+	0.765449i	−0.972884	−	0.231292i	$-0.925705\pi$
$829$	−30.3342	+	22.0391i	−1.05355	+	0.765449i	−0.0806656	+	0.996741i	$0.525705\pi$
$830$	0.0259178	+	0.0356728i	0.000899619	+	0.00123822i
$831$	−0.801592	+	0.260453i	−0.0278069	+	0.00903502i
$832$	11.6393	+	8.45644i	0.403520	+	0.293174i
$833$			73.6508i			2.55185i
$834$	1.00988	−	0.733718i	0.0349691	−	0.0254066i
$835$	0.403421	+	0.293103i	0.0139610	+	0.0101432i
$836$	4.85595	+	1.57779i	0.167946	+	0.0545691i
$837$	4.18650	−	1.36028i	0.144707	−	0.0470180i
$838$	−0.481193	+	0.349607i	−0.0166225	+	0.0120770i
$839$	−13.4017	+	41.2463i	−0.462680	+	1.42398i	0.399198	+	0.916865i	$0.369289\pi$
$839$	−13.4017	+	41.2463i	−0.462680	+	1.42398i	−0.861877	+	0.507117i	$0.830711\pi$
$840$	0.0617877			0.00213188
$841$	19.4278			0.669924
$842$	4.21401	−	12.9694i	0.145224	−	0.446955i
$843$			8.03664i			0.276797i
$844$	39.0859	+	12.6998i	1.34539	+	0.437145i
$845$	0.0678814	+	0.208918i	0.00233519	+	0.00718698i
$846$	−1.95112	−	0.633958i	−0.0670810	−	0.0217959i
$847$	41.4117	+	56.9983i	1.42292	+	1.95849i
$848$	−4.35298	+	1.41437i	−0.149482	+	0.0485696i
$849$	−1.99330	−	6.13474i	−0.0684098	−	0.210544i
$850$	−4.72023	−	14.5274i	−0.161902	−	0.498284i
$851$	−11.3482	−	8.24495i	−0.389011	−	0.282633i
$852$	2.84464	−	3.91531i	0.0974556	−	0.134136i
$853$	21.4649			0.734945			0.367472	−	0.930034i	$-0.380223\pi$
$853$	21.4649			0.734945			0.367472	+	0.930034i	$0.380223\pi$
$854$	7.21416	+	14.2243i	0.246863	+	0.486746i
$855$	−0.0394401			−0.00134882
$856$	13.8482	−	19.0604i	0.473320	−	0.651470i
$857$	13.8323	+	10.0498i	0.472503	+	0.343293i	0.798416	−	0.602106i	$-0.205672\pi$
$857$	13.8323	+	10.0498i	0.472503	+	0.343293i	−0.325913	+	0.945400i	$0.605672\pi$
$858$	−1.16339	−	3.58053i	−0.0397173	−	0.122237i
$859$	−14.5602	−	44.8116i	−0.496787	−	1.52895i	−0.814153	−	0.580650i	$-0.802798\pi$
$859$	−14.5602	−	44.8116i	−0.496787	−	1.52895i	0.317366	−	0.948303i	$-0.397202\pi$
$860$	0.139759	−	0.0454105i	0.00476574	−	0.00154848i
$861$	−5.97481	−	8.22362i	−0.203621	−	0.280260i
$862$	−14.6647	−	4.76485i	−0.499482	−	0.162292i
$863$	9.81253	+	30.1999i	0.334022	+	1.02801i	0.967202	+	0.254010i	$0.0817496\pi$
$863$	9.81253	+	30.1999i	0.334022	+	1.02801i	−0.633179	+	0.774005i	$0.718250\pi$
$864$	8.83385	+	2.87029i	0.300534	+	0.0976494i
$865$			0.271740i			0.00923945i
$866$	−2.84245	+	8.74817i	−0.0965905	+	0.297275i
$867$	7.86982			0.267273
$868$	17.5873			0.596951
$869$	−14.0212	+	43.1528i	−0.475636	+	1.46386i
$870$	−0.00953820	+	0.00692991i	−0.000323375	+	0.000234946i
$871$	23.5090	−	7.63853i	0.796572	−	0.258822i
$872$	−10.2805	−	3.34034i	−0.348142	−	0.113118i
$873$	−0.460702	−	0.334719i	−0.0155924	−	0.0113285i
$874$	0.631265	−	0.458641i	0.0213529	−	0.0155138i
$875$		−	1.06434i		−	0.0359812i
$876$	3.94608	+	2.86699i	0.133326	+	0.0968667i
$877$	0.0557483	−	0.0181137i	0.00188249	−	0.000611657i	−0.308076	−	0.951362i	$-0.599685\pi$
$877$	0.0557483	−	0.0181137i	0.00188249	−	0.000611657i	0.309958	+	0.950750i	$0.399685\pi$
$878$	6.89403	+	9.48882i	0.232662	+	0.320232i
$879$	−3.68804	+	2.67952i	−0.124395	+	0.0903780i
$880$	0.205466	−	0.282800i	0.00692626	−	0.00953317i
$881$	15.8778	−	48.8668i	0.534937	−	1.64637i	−0.208849	−	0.977948i	$-0.566972\pi$
$881$	15.8778	−	48.8668i	0.534937	−	1.64637i	0.743786	−	0.668418i	$-0.233028\pi$
$882$	9.26811	−	12.7565i	0.312074	−	0.429532i
$883$		−	26.5686i		−	0.894106i	−0.894508	−	0.447053i	$-0.852474\pi$
$883$		−	26.5686i		−	0.894106i	0.894508	−	0.447053i	$-0.147526\pi$
$884$	−31.3444	−	43.1418i	−1.05423	−	1.45102i
$885$	−0.0394342	−	0.0542765i	−0.00132557	−	0.00182449i
$886$		−	4.08709i		−	0.137309i
$887$	−0.656216	+	0.903204i	−0.0220336	+	0.0303266i	−0.819892	−	0.572519i	$-0.805966\pi$
$887$	−0.656216	+	0.903204i	−0.0220336	+	0.0303266i	0.797858	+	0.602845i	$0.205966\pi$
$888$	−0.842764	+	2.59376i	−0.0282813	+	0.0870409i
$889$	−16.8752	+	23.2268i	−0.565977	+	0.779001i
$890$	−0.0364107	+	0.0264539i	−0.00122049	+	0.000886737i
$891$	−24.8245	−	34.1680i	−0.831652	−	1.14467i
$892$	−20.4432	+	6.64238i	−0.684487	+	0.222403i
$893$	−0.663117	−	0.481783i	−0.0221904	−	0.0161222i
$894$			2.52643i			0.0844966i
$895$	−0.237061	+	0.172235i	−0.00792407	+	0.00575718i
$896$	38.9294	+	28.2839i	1.30054	+	0.944897i
$897$	4.29673	+	1.39609i	0.143464	+	0.0466142i
$898$	12.3570	−	4.01502i	0.412357	−	0.133983i
$899$	−5.77566	+	4.19627i	−0.192629	+	0.139953i
$900$	7.93528	−	24.4223i	0.264509	−	0.814076i
$901$	10.9150			0.363631
$902$	18.1914			0.605706
$903$	−1.43634	+	4.42060i	−0.0477984	+	0.147108i
$904$			4.08830i			0.135975i
$905$	0.352630	+	0.114577i	0.0117218	+	0.00380865i
$906$	0.769341	+	2.36779i	0.0255596	+	0.0786645i
$907$	23.1459	+	7.52054i	0.768546	+	0.249716i	0.666942	−	0.745109i	$-0.267603\pi$
$907$	23.1459	+	7.52054i	0.768546	+	0.249716i	0.101603	+	0.994825i	$0.467603\pi$
$908$	−28.6726	−	39.4644i	−0.951532	−	1.30967i
$909$	−34.7038	+	11.2759i	−1.15105	+	0.374000i
$910$	0.0731075	+	0.225002i	0.00242349	+	0.00745873i
$911$	−8.09115	−	24.9020i	−0.268072	−	0.825040i	−0.990970	−	0.134085i	$-0.957190\pi$
$911$	−8.09115	−	24.9020i	−0.268072	−	0.825040i	0.722898	−	0.690955i	$-0.242810\pi$
$912$	0.387994	+	0.281894i	0.0128478	+	0.00933445i
$913$	−11.5203	+	15.8563i	−0.381266	+	0.524767i
$914$	−12.5382			−0.414727
$915$	0.0618631	−	0.00967955i	0.00204513	−	0.000319996i
$916$	−47.2038			−1.55966
$917$	−8.47066	+	11.6589i	−0.279726	+	0.385010i
$918$	−4.71550	−	3.42601i	−0.155635	−	0.113075i
$919$	−3.41984	−	10.5252i	−0.112810	−	0.347194i	0.878674	−	0.477422i	$-0.158429\pi$
$919$	−3.41984	−	10.5252i	−0.112810	−	0.347194i	−0.991484	+	0.130229i	$0.958429\pi$
$920$	−0.0410049	−	0.126200i	−0.00135189	−	0.00416069i
$921$	−2.09159	+	0.679600i	−0.0689203	+	0.0223936i
$922$	−1.40435	−	1.93292i	−0.0462497	−	0.0636573i
$923$	37.4913	+	12.1817i	1.23404	+	0.400964i
$924$	3.98943	+	12.2782i	0.131243	+	0.403923i
$925$	22.3384	+	7.25817i	0.734480	+	0.238647i
$926$		−	12.0849i		−	0.397133i
$927$	−10.2649	+	31.5921i	−0.337144	+	1.03762i
$928$	−15.0641			−0.494503
$929$	7.87762			0.258456			0.129228	−	0.991615i	$-0.458750\pi$
$929$	7.87762			0.258456			0.129228	+	0.991615i	$0.458750\pi$
$930$	−0.00271721	+	0.00836272i	−8.91009e−5	+	0.000274224i
$931$	5.09664	−	3.70293i	0.167036	−	0.121359i
$932$	−35.1257	+	11.4130i	−1.15058	+	0.373846i
$933$	2.77681	+	0.902240i	0.0909086	+	0.0295380i
$934$	7.32906	+	5.32487i	0.239814	+	0.174235i
$935$	−0.674407	+	0.489986i	−0.0220555	+	0.0160242i
$936$			24.2871i			0.793847i
$937$	−32.2005	−	23.3950i	−1.05194	−	0.764283i	−0.0793634	−	0.996846i	$-0.525289\pi$
$937$	−32.2005	−	23.3950i	−1.05194	−	0.764283i	−0.972581	+	0.232563i	$0.925289\pi$
$938$	10.2664	−	3.33575i	0.335209	−	0.108916i
$939$	−1.76601	−	2.43071i	−0.0576317	−	0.0793233i
$940$	−0.0530091	+	0.0385133i	−0.00172897	+	0.00125617i
$941$	−12.6560	+	17.4195i	−0.412574	+	0.567860i	−0.963844	−	0.266467i	$-0.914144\pi$
$941$	−12.6560	+	17.4195i	−0.412574	+	0.567860i	0.551270	+	0.834327i	$0.314144\pi$
$942$	−0.138736	+	0.426985i	−0.00452026	+	0.0139119i
$943$	−12.8314	+	17.6609i	−0.417849	+	0.575119i
$944$		−	22.5565i		−	0.734152i
$945$	−0.119353	−	0.164275i	−0.00388254	−	0.00534385i
$946$	−4.88938	−	6.72965i	−0.158967	−	0.218800i
$947$		−	12.0744i		−	0.392366i	−0.980567	−	0.196183i	$-0.937145\pi$
$947$		−	12.0744i		−	0.392366i	0.980567	−	0.196183i	$-0.0628547\pi$
$948$	−2.92501	+	4.02593i	−0.0949999	+	0.130756i
$949$	−12.2774	+	37.7860i	−0.398541	+	1.22658i
$950$	−0.767977	+	1.05703i	−0.0249165	+	0.0342946i
$951$	5.55191	−	4.03370i	0.180033	−	0.130802i
$952$	−29.1193	−	40.0793i	−0.943763	−	1.29898i
$953$	15.2473	−	4.95413i	0.493907	−	0.160480i	−0.0514640	−	0.998675i	$-0.516389\pi$
$953$	15.2473	−	4.95413i	0.493907	−	0.160480i	0.545371	+	0.838195i	$0.316389\pi$
$954$	−1.89050	−	1.37353i	−0.0612071	−	0.0444696i
$955$			0.402558i			0.0130265i
$956$	13.7548	−	9.99342i	0.444861	−	0.323210i
$957$	−4.23967	−	3.08030i	−0.137049	−	0.0995719i
$958$	−2.67515	−	0.869207i	−0.0864300	−	0.0280828i
$959$	39.6849	−	12.8944i	1.28149	−	0.416382i
$960$	0.0199552	−	0.0144983i	0.000644052	−	0.000467931i
$961$	7.93417	−	24.4189i	0.255941	−	0.787706i
$962$	−10.4424			−0.336677
$963$	−38.0252			−1.22534
$964$	0.605385	−	1.86318i	0.0194981	−	0.0600091i
$965$		−	0.0406165i		−	0.00130749i
$966$	1.87638	+	0.609674i	0.0603716	+	0.0196159i
$967$	4.01313	+	12.3511i	0.129054	+	0.397186i	0.994618	−	0.103612i	$-0.0330400\pi$
$967$	4.01313	+	12.3511i	0.129054	+	0.397186i	−0.865564	+	0.500798i	$0.833040\pi$
$968$	−27.9779	−	9.09059i	−0.899245	−	0.292183i
$969$	−0.672248	−	0.925270i	−0.0215957	−	0.0297239i
$970$	0.00220282		0.000715738i	7.07282e−5		2.29810e-5i
$971$	18.1571	+	55.8818i	0.582689	+	1.79333i	0.608359	+	0.793662i	$0.291828\pi$
$971$	18.1571	+	55.8818i	0.582689	+	1.79333i	−0.0256694	+	0.999670i	$0.508172\pi$
$972$	−4.56885	−	14.0615i	−0.146546	−	0.451022i
$973$	−28.2080	−	20.4943i	−0.904306	−	0.657016i
$974$	9.77962	−	13.4605i	0.313359	−	0.431302i
$975$	−7.56498			−0.242273
$976$	18.7399	+	9.59267i	0.599850	+	0.307054i
$977$	21.5637			0.689883			0.344941	−	0.938624i	$-0.387899\pi$
$977$	21.5637			0.689883			0.344941	+	0.938624i	$0.387899\pi$
$978$	0.574148	−	0.790247i	0.0183592	−	0.0252693i
$979$	−16.1843	−	11.7586i	−0.517253	−	0.375806i
$980$	−0.155621	−	0.478953i	−0.00497114	−	0.0152996i
$981$	5.39124	+	16.5925i	0.172129	+	0.529759i
$982$	−15.5818	+	5.06284i	−0.497236	+	0.161562i
$983$	−6.72647	−	9.25819i	−0.214541	−	0.295290i	0.688160	−	0.725559i	$-0.258419\pi$
$983$	−6.72647	−	9.25819i	−0.214541	−	0.295290i	−0.902701	+	0.430269i	$0.858419\pi$
$984$	4.03661	+	1.31157i	0.128682	+	0.0418115i
$985$	−0.102307	−	0.314870i	−0.00325979	−	0.0100326i
$986$	8.99034	+	2.92114i	0.286311	+	0.0930280i
$987$		−	2.07250i		−	0.0659682i
$988$	−1.40952	+	4.33807i	−0.0448429	+	0.138012i
$989$	9.98219			0.317415
$990$	0.178468			0.00567208
$991$	−8.90962	+	27.4210i	−0.283023	+	0.871056i	0.703961	+	0.710239i	$0.251413\pi$
$991$	−8.90962	+	27.4210i	−0.283023	+	0.871056i	−0.986984	+	0.160817i	$0.948587\pi$
$992$	−9.08937	+	6.60381i	−0.288588	+	0.209671i
$993$	4.31234	−	1.40116i	0.136848	−	0.0444646i
$994$	16.3725	+	5.31973i	0.519303	+	0.168732i
$995$	0.00949674	+	0.00689979i	0.000301067	+	0.000218738i
$996$	−1.73904	+	1.26348i	−0.0551034	+	0.0400350i
$997$		−	2.80634i		−	0.0888778i	−0.999012	−	0.0444389i	$-0.985850\pi$
$997$		−	2.80634i		−	0.0888778i	0.999012	−	0.0444389i	$-0.0141500\pi$
$998$	−6.47452	−	4.70402i	−0.204947	−	0.148903i
$999$	8.52395	−	2.76960i	0.269686	−	0.0876262i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	61.2.g.a.52.3	yes	16
3.2	odd	2		549.2.y.b.235.2		16
4.3	odd	2		976.2.bd.b.113.2		16
61.24	odd	20		3721.2.a.k.1.10		16
61.27	even	10	inner	61.2.g.a.27.3	✓	16
61.37	odd	20		3721.2.a.k.1.7		16
183.149	odd	10		549.2.y.b.271.2		16
244.27	odd	10		976.2.bd.b.881.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
61.2.g.a.27.3	✓	16	61.27	even	10	inner
61.2.g.a.52.3	yes	16	1.1	even	1	trivial
549.2.y.b.235.2		16	3.2	odd	2
549.2.y.b.271.2		16	183.149	odd	10
976.2.bd.b.113.2		16	4.3	odd	2
976.2.bd.b.881.2		16	244.27	odd	10
3721.2.a.k.1.7		16	61.37	odd	20
3721.2.a.k.1.10		16	61.24	odd	20

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:	\( N \)	\(=\)	\( 61 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	61.g (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.279384 - 0.384540i) q^{2} +(0.261794 + 0.190204i) q^{3} +(0.548219 + 1.68724i) q^{4} +(0.00765597 + 0.0235626i) q^{5} +(0.146282 - 0.0475300i) q^{6} +(-2.52527 - 3.47573i) q^{7} +(1.70608 + 0.554340i) q^{8} +(-0.894693 - 2.75358i) q^{9} +O(q^{10})\)	\(q+(0.279384 - 0.384540i) q^{2} +(0.261794 + 0.190204i) q^{3} +(0.548219 + 1.68724i) q^{4} +(0.00765597 + 0.0235626i) q^{5} +(0.146282 - 0.0475300i) q^{6} +(-2.52527 - 3.47573i) q^{7} +(1.70608 + 0.554340i) q^{8} +(-0.894693 - 2.75358i) q^{9} +(0.0111997 + 0.00363901i) q^{10} +5.23440i q^{11} +(-0.177401 + 0.545983i) q^{12} -4.67616 q^{13} -2.04208 q^{14} +(-0.00247743 + 0.00762475i) q^{15} +(-2.18069 + 1.58437i) q^{16} +(6.11345 - 1.98638i) q^{17} +(-1.30882 - 0.425263i) q^{18} +(-0.444823 - 0.323182i) q^{19} +(-0.0355588 + 0.0258350i) q^{20} -1.39024i q^{21} +(2.01283 + 1.46241i) q^{22} +(-2.83954 + 0.922622i) q^{23} +(0.341204 + 0.469627i) q^{24} +(4.04459 - 2.93857i) q^{25} +(-1.30645 + 1.79817i) q^{26} +(0.589507 - 1.81432i) q^{27} +(4.48001 - 6.16621i) q^{28} +3.09390i q^{29} +(0.00223986 + 0.00308291i) q^{30} +(1.35630 + 1.86679i) q^{31} +4.86897i q^{32} +(-0.995605 + 1.37033i) q^{33} +(0.944161 - 2.90583i) q^{34} +(0.0625641 - 0.0861121i) q^{35} +(4.15548 - 3.01913i) q^{36} +(2.76151 + 3.80089i) q^{37} +(-0.248553 + 0.0807598i) q^{38} +(-1.22419 - 0.889425i) q^{39} +0.0444438i q^{40} +(5.91524 - 4.29768i) q^{41} +(-0.534603 - 0.388412i) q^{42} +(-3.17973 - 1.03316i) q^{43} +(-8.83171 + 2.86960i) q^{44} +(0.0580319 - 0.0421627i) q^{45} +(-0.438538 + 1.34968i) q^{46} +1.49074 q^{47} -0.872244 q^{48} +(-3.54062 + 10.8969i) q^{49} -2.37629i q^{50} +(1.97828 + 0.642782i) q^{51} +(-2.56356 - 7.88982i) q^{52} +(1.61491 + 0.524717i) q^{53} +(-0.532977 - 0.733580i) q^{54} +(-0.123336 + 0.0400744i) q^{55} +(-2.38158 - 7.32975i) q^{56} +(-0.0549810 - 0.169214i) q^{57} +(1.18973 + 0.864387i) q^{58} +(-4.91874 + 6.77006i) q^{59} -0.0142230 q^{60} +(-3.53275 - 6.96561i) q^{61} +1.09679 q^{62} +(-7.31137 + 10.0632i) q^{63} +(-2.48907 - 1.80842i) q^{64} +(-0.0358005 - 0.110183i) q^{65} +(0.248791 + 0.765699i) q^{66} +(-5.02741 + 1.63351i) q^{67} +(6.70302 + 9.22591i) q^{68} +(-0.918859 - 0.298556i) q^{69} +(-0.0156341 - 0.0481168i) q^{70} +(-8.01754 - 2.60506i) q^{71} -5.19380i q^{72} +(2.62553 - 8.08055i) q^{73} +2.23312 q^{74} +1.61778 q^{75} +(0.301428 - 0.927699i) q^{76} +(18.1934 - 13.2183i) q^{77} +(-0.684039 + 0.222258i) q^{78} +(8.24408 + 2.67866i) q^{79} +(-0.0540271 - 0.0392530i) q^{80} +(-6.52759 + 4.74257i) q^{81} -3.47535i q^{82} +(3.02925 + 2.20088i) q^{83} +(2.34568 - 0.762157i) q^{84} +(0.0936088 + 0.128841i) q^{85} +(-1.28566 + 0.934086i) q^{86} +(-0.588472 + 0.809963i) q^{87} +(-2.90164 + 8.93032i) q^{88} +(-2.24641 + 3.09191i) q^{89} -0.0340952i q^{90} +(11.8086 + 16.2531i) q^{91} +(-3.11338 - 4.28519i) q^{92} +0.746689i q^{93} +(0.416491 - 0.573251i) q^{94} +(0.00420949 - 0.0129555i) q^{95} +(-0.926100 + 1.27467i) q^{96} +(0.159121 - 0.115608i) q^{97} +(3.20110 + 4.40594i) q^{98} +(14.4133 - 4.68318i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 5 q^{2} - q^{3} + 3 q^{4} - 15 q^{6} + 10 q^{7} - 5 q^{8} + q^{9}+O(q^{10}) \) 16 * q - 5 * q^2 - q^3 + 3 * q^4 - 15 * q^6 + 10 * q^7 - 5 * q^8 + q^9	\( 16 q - 5 q^{2} - q^{3} + 3 q^{4} - 15 q^{6} + 10 q^{7} - 5 q^{8} + q^{9} - 5 q^{10} - 12 q^{13} - 18 q^{14} - 13 q^{15} + 19 q^{16} - 10 q^{18} + 3 q^{19} - 13 q^{20} + 19 q^{22} - 15 q^{23} + 10 q^{24} - 2 q^{25} + 10 q^{26} - 4 q^{27} + 35 q^{28} + 45 q^{30} - 15 q^{31} + 25 q^{33} - 14 q^{34} + 10 q^{35} + 37 q^{36} - 5 q^{37} - 15 q^{38} - 3 q^{39} + 12 q^{41} - 15 q^{42} - 25 q^{43} - 50 q^{44} + 36 q^{45} + 27 q^{46} + 6 q^{47} - 20 q^{48} - 30 q^{49} + 50 q^{51} - 46 q^{52} - 20 q^{53} - 20 q^{54} + 20 q^{55} - 28 q^{56} - 11 q^{57} - 41 q^{58} + 5 q^{59} + 14 q^{60} - 53 q^{61} + 16 q^{62} - 5 q^{63} + 17 q^{64} + 20 q^{65} + 13 q^{66} - 55 q^{67} + 80 q^{68} - 15 q^{69} - 17 q^{70} - 50 q^{71} - 11 q^{73} + 24 q^{74} - 88 q^{75} - 19 q^{76} + 63 q^{77} + 50 q^{78} + 40 q^{79} - 49 q^{80} - 19 q^{81} + 31 q^{83} - 25 q^{84} + 55 q^{85} + 35 q^{86} + 25 q^{87} + 27 q^{88} + 60 q^{89} - 15 q^{91} - 5 q^{92} + 65 q^{94} + 48 q^{95} - 25 q^{96} + 45 q^{97} + 10 q^{98} - 5 q^{99}+O(q^{100}) \) 16 * q - 5 * q^2 - q^3 + 3 * q^4 - 15 * q^6 + 10 * q^7 - 5 * q^8 + q^9 - 5 * q^10 - 12 * q^13 - 18 * q^14 - 13 * q^15 + 19 * q^16 - 10 * q^18 + 3 * q^19 - 13 * q^20 + 19 * q^22 - 15 * q^23 + 10 * q^24 - 2 * q^25 + 10 * q^26 - 4 * q^27 + 35 * q^28 + 45 * q^30 - 15 * q^31 + 25 * q^33 - 14 * q^34 + 10 * q^35 + 37 * q^36 - 5 * q^37 - 15 * q^38 - 3 * q^39 + 12 * q^41 - 15 * q^42 - 25 * q^43 - 50 * q^44 + 36 * q^45 + 27 * q^46 + 6 * q^47 - 20 * q^48 - 30 * q^49 + 50 * q^51 - 46 * q^52 - 20 * q^53 - 20 * q^54 + 20 * q^55 - 28 * q^56 - 11 * q^57 - 41 * q^58 + 5 * q^59 + 14 * q^60 - 53 * q^61 + 16 * q^62 - 5 * q^63 + 17 * q^64 + 20 * q^65 + 13 * q^66 - 55 * q^67 + 80 * q^68 - 15 * q^69 - 17 * q^70 - 50 * q^71 - 11 * q^73 + 24 * q^74 - 88 * q^75 - 19 * q^76 + 63 * q^77 + 50 * q^78 + 40 * q^79 - 49 * q^80 - 19 * q^81 + 31 * q^83 - 25 * q^84 + 55 * q^85 + 35 * q^86 + 25 * q^87 + 27 * q^88 + 60 * q^89 - 15 * q^91 - 5 * q^92 + 65 * q^94 + 48 * q^95 - 25 * q^96 + 45 * q^97 + 10 * q^98 - 5 * q^99

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