LMFDB - Embedded newform 300.2.w.a.67.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			67.8
Character	$\chi$	$=$	300.67
Dual form			300.2.w.a.103.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.976661 + 1.02281i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.0922667 - 1.99787i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(1.12464 - 0.857431i) q^{6} +(-1.04258 + 1.04258i) q^{7} +(2.13355 + 1.85687i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-0.976661 + 1.02281i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.0922667 - 1.99787i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(1.12464 - 0.857431i) q^{6} +(-1.04258 + 1.04258i) q^{7} +(2.13355 + 1.85687i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.85467 + 1.36046i) q^{10} +(-4.52673 + 1.47082i) q^{11} +(-0.221405 + 1.98771i) q^{12} +(2.54390 + 4.99269i) q^{13} +(-0.0481108 - 2.08461i) q^{14} +(0.357381 + 2.20732i) q^{15} +(-3.98297 + 0.368674i) q^{16} +(0.262171 + 1.65528i) q^{17} +(-1.24492 + 0.670942i) q^{18} +(2.76811 + 2.01115i) q^{19} +(-4.17953 + 1.59107i) q^{20} +(1.19285 - 0.866653i) q^{21} +(2.91671 - 6.06646i) q^{22} +(-3.62217 + 7.10891i) q^{23} +(-1.81680 - 2.16777i) q^{24} +(-4.02480 + 2.96664i) q^{25} +(-7.59109 - 2.27425i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(2.17915 + 1.98675i) q^{28} +(-4.76887 - 6.56378i) q^{29} +(-2.60671 - 1.79028i) q^{30} +(1.29321 - 1.77995i) q^{31} +(3.51293 - 4.43388i) q^{32} +(4.70108 - 0.744578i) q^{33} +(-1.94908 - 1.34850i) q^{34} +(2.94272 + 1.48668i) q^{35} +(0.529625 - 1.92860i) q^{36} +(1.10983 - 0.565484i) q^{37} +(-4.76052 + 0.867029i) q^{38} +(-1.73155 - 5.32918i) q^{39} +(2.45462 - 5.82879i) q^{40} +(-1.73027 + 5.32522i) q^{41} +(-0.278587 + 2.06648i) q^{42} +(-2.44396 - 2.44396i) q^{43} +(3.35618 + 8.90811i) q^{44} +(-0.00767928 - 2.23605i) q^{45} +(-3.73341 - 10.6478i) q^{46} +(-0.899254 + 5.67766i) q^{47} +(3.99161 + 0.258939i) q^{48} +4.82603i q^{49} +(0.896569 - 7.01400i) q^{50} -1.67591i q^{51} +(9.74003 - 5.54305i) q^{52} +(-0.680800 + 4.29840i) q^{53} +(1.33456 - 0.467933i) q^{54} +(6.28532 + 8.58881i) q^{55} +(-4.16035 + 0.288460i) q^{56} +(-2.41941 - 2.41941i) q^{57} +(11.3710 + 1.53296i) q^{58} +(3.92044 - 12.0659i) q^{59} +(4.37697 - 0.917663i) q^{60} +(2.15405 + 6.62949i) q^{61} +(0.557518 + 3.06112i) q^{62} +(-1.31373 + 0.669381i) q^{63} +(1.10406 + 7.92345i) q^{64} +(8.82932 - 8.89017i) q^{65} +(-3.82980 + 5.53550i) q^{66} +(-7.39906 + 1.17190i) q^{67} +(3.28285 - 0.676511i) q^{68} +(4.68966 - 6.45476i) q^{69} +(-4.39463 + 1.55785i) q^{70} +(7.39857 + 10.1833i) q^{71} +(1.45532 + 2.42529i) q^{72} +(-9.08821 - 4.63068i) q^{73} +(-0.505542 + 1.68742i) q^{74} +(4.43934 - 2.30050i) q^{75} +(3.76261 - 5.71588i) q^{76} +(3.18604 - 6.25296i) q^{77} +(7.14186 + 3.43375i) q^{78} +(7.49468 - 5.44520i) q^{79} +(3.56439 + 8.20336i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-3.75678 - 6.97066i) q^{82} +(-0.974493 - 6.15271i) q^{83} +(-1.84152 - 2.30319i) q^{84} +(3.33315 - 1.71277i) q^{85} +(4.88663 - 0.112778i) q^{86} +(3.68335 + 7.22899i) q^{87} +(-12.3891 - 5.26748i) q^{88} +(1.92856 - 0.626628i) q^{89} +(2.29455 + 2.17601i) q^{90} +(-7.85754 - 2.55307i) q^{91} +(14.5369 + 6.58071i) q^{92} +(-1.55574 + 1.55574i) q^{93} +(-4.92889 - 6.46492i) q^{94} +(2.33924 - 7.28448i) q^{95} +(-4.16329 + 3.82975i) q^{96} +(-3.36367 - 0.532753i) q^{97} +(-4.93610 - 4.71340i) q^{98} -4.75968 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−0.976661	+	1.02281i	−0.690604	+	0.723233i
$2$	−0.976661	+	1.02281i	−0.690604	+	0.723233i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	−0.0922667	−	1.99787i	−0.0461334	−	0.998935i
$5$	−0.698282	−	2.12424i	−0.312281	−	0.949990i
$5$	−0.698282	−	2.12424i	−0.312281	−	0.949990i
$6$	1.12464	−	0.857431i	0.459132	−	0.350045i
$7$	−1.04258	+	1.04258i	−0.394060	+	0.394060i	−0.876132	−	0.482072i	$-0.839884\pi$
$7$	−1.04258	+	1.04258i	−0.394060	+	0.394060i	0.482072	+	0.876132i	$0.339884\pi$
$8$	2.13355	+	1.85687i	0.754323	+	0.656503i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	2.85467	+	1.36046i	0.902727	+	0.430214i
$11$	−4.52673	+	1.47082i	−1.36486	+	0.443470i	−0.897663	−	0.440683i	$-0.854736\pi$
$11$	−4.52673	+	1.47082i	−1.36486	+	0.443470i	−0.467197	+	0.884153i	$0.654736\pi$
$12$	−0.221405	+	1.98771i	−0.0639141	+	0.573802i
$13$	2.54390	+	4.99269i	0.705552	+	1.38472i	0.913604	+	0.406606i	$0.133288\pi$
$13$	2.54390	+	4.99269i	0.705552	+	1.38472i	−0.208052	+	0.978118i	$0.566712\pi$
$14$	−0.0481108	−	2.08461i	−0.0128581	−	0.557137i
$15$	0.357381	+	2.20732i	0.0922753	+	0.569929i
$16$	−3.98297	+	0.368674i	−0.995743	+	0.0921685i
$17$	0.262171	+	1.65528i	0.0635858	+	0.401465i	0.998868	+	0.0475627i	$0.0151454\pi$
$17$	0.262171	+	1.65528i	0.0635858	+	0.401465i	−0.935282	+	0.353902i	$0.884855\pi$
$18$	−1.24492	+	0.670942i	−0.293431	+	0.158143i
$19$	2.76811	+	2.01115i	0.635047	+	0.461389i	0.858145	−	0.513407i	$-0.171617\pi$
$19$	2.76811	+	2.01115i	0.635047	+	0.461389i	−0.223098	+	0.974796i	$0.571617\pi$
$20$	−4.17953	+	1.59107i	−0.934572	+	0.355775i
$21$	1.19285	−	0.866653i	0.260300	−	0.189119i
$22$	2.91671	−	6.06646i	0.621845	−	1.29337i
$23$	−3.62217	+	7.10891i	−0.755275	+	1.48231i	0.116914	+	0.993142i	$0.462700\pi$
$23$	−3.62217	+	7.10891i	−0.755275	+	1.48231i	−0.872189	+	0.489169i	$0.837300\pi$
$24$	−1.81680	−	2.16777i	−0.370853	−	0.442494i
$25$	−4.02480	+	2.96664i	−0.804961	+	0.593328i
$26$	−7.59109	−	2.27425i	−1.48874	−	0.446016i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	2.17915	+	1.98675i	0.411820	+	0.375461i
$29$	−4.76887	−	6.56378i	−0.885556	−	1.21886i	−0.974851	−	0.222858i	$-0.928461\pi$
$29$	−4.76887	−	6.56378i	−0.885556	−	1.21886i	0.0892946	−	0.996005i	$-0.471539\pi$
$30$	−2.60671	−	1.79028i	−0.475917	−	0.326858i
$31$	1.29321	−	1.77995i	0.232268	−	0.319689i	−0.676935	−	0.736043i	$-0.736692\pi$
$31$	1.29321	−	1.77995i	0.232268	−	0.319689i	0.909203	+	0.416354i	$0.136692\pi$
$32$	3.51293	−	4.43388i	0.621005	−	0.783807i
$33$	4.70108	−	0.744578i	0.818354	−	0.129614i
$34$	−1.94908	−	1.34850i	−0.334265	−	0.231266i
$35$	2.94272	+	1.48668i	0.497411	+	0.251295i
$36$	0.529625	−	1.92860i	0.0882708	−	0.321433i
$37$	1.10983	−	0.565484i	0.182454	−	0.0929650i	−0.360378	−	0.932807i	$-0.617352\pi$
$37$	1.10983	−	0.565484i	0.182454	−	0.0929650i	0.542832	+	0.839842i	$0.317352\pi$
$38$	−4.76052	+	0.867029i	−0.772258	+	0.140651i
$39$	−1.73155	−	5.32918i	−0.277271	−	0.853351i
$40$	2.45462	−	5.82879i	0.388110	−	0.921613i
$41$	−1.73027	+	5.32522i	−0.270222	+	0.831659i	0.720222	+	0.693744i	$0.244040\pi$
$41$	−1.73027	+	5.32522i	−0.270222	+	0.831659i	−0.990444	+	0.137915i	$0.955960\pi$
$42$	−0.278587	+	2.06648i	−0.0429869	+	0.318864i
$43$	−2.44396	−	2.44396i	−0.372701	−	0.372701i	0.495759	−	0.868460i	$-0.334890\pi$
$43$	−2.44396	−	2.44396i	−0.372701	−	0.372701i	−0.868460	+	0.495759i	$0.834890\pi$
$44$	3.35618	+	8.90811i	0.505963	+	1.34295i
$45$	−0.00767928	−	2.23605i	−0.00114476	−	0.333331i
$46$	−3.73341	−	10.6478i	−0.550461	−	1.56993i
$47$	−0.899254	+	5.67766i	−0.131170	+	0.828172i	0.831110	+	0.556109i	$0.187706\pi$
$47$	−0.899254	+	5.67766i	−0.131170	+	0.828172i	−0.962279	+	0.272064i	$0.912294\pi$
$48$	3.99161	+	0.258939i	0.576139	+	0.0373747i
$49$			4.82603i			0.689433i
$50$	0.896569	−	7.01400i	0.126794	−	0.991929i
$51$		−	1.67591i		−	0.234675i
$52$	9.74003	−	5.54305i	1.35070	−	0.768683i
$53$	−0.680800	+	4.29840i	−0.0935150	+	0.590431i	0.895780	+	0.444498i	$0.146618\pi$
$53$	−0.680800	+	4.29840i	−0.0935150	+	0.590431i	−0.989295	+	0.145932i	$0.953382\pi$
$54$	1.33456	−	0.467933i	0.181610	−	0.0636776i
$55$	6.28532	+	8.58881i	0.847512	+	1.15812i
$56$	−4.16035	+	0.288460i	−0.555950	+	0.0385470i
$57$	−2.41941	−	2.41941i	−0.320459	−	0.320459i
$58$	11.3710	+	1.53296i	1.49309	+	0.201288i
$59$	3.92044	−	12.0659i	0.510398	−	1.57084i	−0.281104	−	0.959677i	$-0.590701\pi$
$59$	3.92044	−	12.0659i	0.510398	−	1.57084i	0.791502	−	0.611166i	$-0.209299\pi$
$60$	4.37697	−	0.917663i	0.565065	−	0.118470i
$61$	2.15405	+	6.62949i	0.275798	+	0.848819i	0.989007	+	0.147867i	$0.0472409\pi$
$61$	2.15405	+	6.62949i	0.275798	+	0.848819i	−0.713209	+	0.700951i	$0.752759\pi$
$62$	0.557518	+	3.06112i	0.0708049	+	0.388762i
$63$	−1.31373	+	0.669381i	−0.165515	+	0.0843340i
$64$	1.10406	+	7.92345i	0.138007	+	0.990431i
$65$	8.82932	−	8.89017i	1.09514	−	1.10269i
$66$	−3.82980	+	5.53550i	−0.471416	+	0.681373i
$67$	−7.39906	+	1.17190i	−0.903939	+	0.143170i	−0.591064	−	0.806625i	$-0.701292\pi$
$67$	−7.39906	+	1.17190i	−0.903939	+	0.143170i	−0.312875	+	0.949794i	$0.601292\pi$
$68$	3.28285	−	0.676511i	0.398104	−	0.0820390i
$69$	4.68966	−	6.45476i	0.564568	−	0.777061i
$70$	−4.39463	+	1.55785i	−0.525259	+	0.186199i
$71$	7.39857	+	10.1833i	0.878049	+	1.20853i	0.976958	+	0.213434i	$0.0684647\pi$
$71$	7.39857	+	10.1833i	0.878049	+	1.20853i	−0.0989090	+	0.995096i	$0.531535\pi$
$72$	1.45532	+	2.42529i	0.171511	+	0.285823i
$73$	−9.08821	−	4.63068i	−1.06369	−	0.541980i	−0.167606	−	0.985854i	$-0.553604\pi$
$73$	−9.08821	−	4.63068i	−1.06369	−	0.541980i	−0.896089	+	0.443874i	$0.853604\pi$
$74$	−0.505542	+	1.68742i	−0.0587681	+	0.196159i
$75$	4.43934	−	2.30050i	0.512610	−	0.265639i
$76$	3.76261	−	5.71588i	0.431601	−	0.655657i
$77$	3.18604	−	6.25296i	0.363083	−	0.712590i
$78$	7.14186	+	3.43375i	0.808656	+	0.388796i
$79$	7.49468	−	5.44520i	0.843218	−	0.612633i	−0.0800501	−	0.996791i	$-0.525508\pi$
$79$	7.49468	−	5.44520i	0.843218	−	0.612633i	0.923268	+	0.384157i	$0.125508\pi$
$80$	3.56439	+	8.20336i	0.398511	+	0.917163i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−3.75678	−	6.97066i	−0.414867	−	0.769780i
$83$	−0.974493	−	6.15271i	−0.106965	−	0.675348i	−0.981655	−	0.190666i	$-0.938935\pi$
$83$	−0.974493	−	6.15271i	−0.106965	−	0.675348i	0.874690	−	0.484682i	$-0.161065\pi$
$84$	−1.84152	−	2.30319i	−0.200926	−	0.251298i
$85$	3.33315	−	1.71277i	0.361531	−	0.185776i
$86$	4.88663	−	0.112778i	0.526938	−	0.0121612i
$87$	3.68335	+	7.22899i	0.394897	+	0.775029i
$88$	−12.3891	−	5.26748i	−1.32068	−	0.561515i
$89$	1.92856	−	0.626628i	0.204427	−	0.0664225i	−0.205013	−	0.978759i	$-0.565724\pi$
$89$	1.92856	−	0.626628i	0.204427	−	0.0664225i	0.409441	+	0.912337i	$0.365724\pi$
$90$	2.29455	+	2.17601i	0.241867	+	0.229372i
$91$	−7.85754	−	2.55307i	−0.823694	−	0.267634i
$92$	14.5369	+	6.58071i	1.51558	+	0.686087i
$93$	−1.55574	+	1.55574i	−0.161322	+	0.161322i
$94$	−4.92889	−	6.46492i	−0.508376	−	0.666805i
$95$	2.33924	−	7.28448i	0.240001	−	0.747371i
$96$	−4.16329	+	3.82975i	−0.424914	+	0.390872i
$97$	−3.36367	−	0.532753i	−0.341529	−	0.0540929i	−0.0166860	−	0.999861i	$-0.505312\pi$
$97$	−3.36367	−	0.532753i	−0.341529	−	0.0540929i	−0.324843	+	0.945768i	$0.605312\pi$
$98$	−4.93610	−	4.71340i	−0.498621	−	0.476125i
$99$	−4.75968			−0.478366
$100$	6.29832	+	7.76731i	0.629832	+	0.776731i
$101$	−13.7603			−1.36920			−0.684602	−	0.728917i	$-0.740024\pi$
$101$	−13.7603			−1.36920			−0.684602	+	0.728917i	$0.740024\pi$
$102$	1.71414	+	1.63680i	0.169725	+	0.162067i
$103$	−6.04390	−	0.957260i	−0.595524	−	0.0943217i	−0.148606	−	0.988897i	$-0.547478\pi$
$103$	−6.04390	−	0.957260i	−0.595524	−	0.0943217i	−0.446918	+	0.894575i	$0.647478\pi$
$104$	−3.84324	+	15.3759i	−0.376861	+	1.50773i
$105$	−2.67392	−	1.92872i	−0.260948	−	0.188224i
$106$	−3.73152	−	4.89440i	−0.362437	−	0.475387i
$107$	8.72357	−	8.72357i	0.843339	−	0.843339i	−0.145953	−	0.989292i	$-0.546625\pi$
$107$	8.72357	−	8.72357i	0.843339	−	0.843339i	0.989292	+	0.145953i	$0.0466247\pi$
$108$	−0.824804	+	1.82200i	−0.0793668	+	0.175322i
$109$	−13.2840	−	4.31622i	−1.27237	−	0.413419i	−0.406486	−	0.913657i	$-0.633246\pi$
$109$	−13.2840	−	4.31622i	−1.27237	−	0.413419i	−0.865888	+	0.500238i	$0.833246\pi$
$110$	−14.9233	−	1.95969i	−1.42288	−	0.186849i
$111$	−1.18462	+	0.384907i	−0.112439	+	0.0365338i
$112$	3.76821	−	4.53696i	0.356063	−	0.428703i
$113$	1.97483	+	3.87583i	0.185777	+	0.364607i	0.965045	−	0.262083i	$-0.0844093\pi$
$113$	1.97483	+	3.87583i	0.185777	+	0.364607i	−0.779269	+	0.626690i	$0.784409\pi$
$114$	4.83754	−	0.111645i	0.453077	−	0.0104566i
$115$	17.6303	+	2.73034i	1.64404	+	0.254605i
$116$	−12.6736	+	10.1332i	−1.17671	+	0.940844i
$117$	0.876569	+	5.53444i	0.0810389	+	0.511659i
$118$	8.51212	+	15.7941i	0.783604	+	1.45397i
$119$	−1.99911	−	1.45244i	−0.183258	−	0.133145i
$120$	−3.33623	+	5.37304i	−0.304554	+	0.490489i
$121$	9.42875	−	6.85039i	0.857159	−	0.622763i
$122$	−8.88446	−	4.27158i	−0.804361	−	0.386731i
$123$	2.54201	−	4.98898i	0.229206	−	0.449841i
$124$	−3.67544	−	2.41944i	−0.330064	−	0.217272i
$125$	9.11231	+	6.47810i	0.815030	+	0.579419i
$126$	0.598425	−	1.99745i	0.0533120	−	0.177947i
$127$	3.05770	+	1.55798i	0.271327	+	0.138248i	0.584361	−	0.811494i	$-0.301345\pi$
$127$	3.05770	+	1.55798i	0.271327	+	0.138248i	−0.313034	+	0.949742i	$0.601345\pi$
$128$	−9.18245	−	6.60929i	−0.811621	−	0.584184i
$129$	2.03155	+	2.79619i	0.178868	+	0.246191i
$130$	0.469677	+	17.7134i	0.0411934	+	1.55357i
$131$	−4.34615	+	5.98196i	−0.379725	+	0.522646i	−0.955512	−	0.294954i	$-0.904696\pi$
$131$	−4.34615	+	5.98196i	−0.379725	+	0.522646i	0.575787	+	0.817600i	$0.304696\pi$
$132$	−1.92132	−	9.32346i	−0.167230	−	0.811503i
$133$	−4.98278	+	0.789194i	−0.432062	+	0.0684318i
$134$	6.02775	−	8.71235i	0.520718	−	0.752632i
$135$	−0.342211	+	2.20973i	−0.0294529	+	0.190183i
$136$	−2.51429	+	4.01844i	−0.215599	+	0.344578i
$137$	10.0977	−	5.14506i	0.862708	−	0.439572i	0.0341118	−	0.999418i	$-0.489140\pi$
$137$	10.0977	−	5.14506i	0.862708	−	0.439572i	0.828597	+	0.559846i	$0.189140\pi$
$138$	2.02176	+	11.1007i	0.172104	+	0.944956i
$139$	−4.52482	−	13.9260i	−0.383791	−	1.18119i	−0.937354	−	0.348379i	$-0.886732\pi$
$139$	−4.52482	−	13.9260i	−0.383791	−	1.18119i	0.553563	−	0.832807i	$-0.313268\pi$
$140$	2.69869	−	6.01635i	0.228081	−	0.508474i
$141$	1.77636	−	5.46709i	0.149597	−	0.460412i
$142$	−17.6414	−	2.37828i	−1.48043	−	0.199581i
$143$	−18.8589	−	18.8589i	−1.57706	−	1.57706i
$144$	−3.90196	−	0.880177i	−0.325163	−	0.0733481i
$145$	−10.6130	+	14.7136i	−0.881365	+	1.22190i
$146$	13.6124	−	4.77288i	1.12657	−	0.395007i
$147$	0.754958	−	4.76662i	0.0622679	−	0.393144i
$148$	−1.23216	−	2.16511i	−0.101283	−	0.177971i
$149$			7.25270i			0.594165i	0.954852	+	0.297082i	$0.0960136\pi$
$149$			7.25270i			0.594165i	−0.954852	+	0.297082i	$0.903986\pi$
$150$	−1.98276	+	6.78739i	−0.161892	+	0.554188i
$151$			8.89011i			0.723467i	0.932282	+	0.361733i	$0.117815\pi$
$151$			8.89011i			0.723467i	−0.932282	+	0.361733i	$0.882185\pi$
$152$	2.17145	+	9.43090i	0.176128	+	0.764947i
$153$	−0.262171	+	1.65528i	−0.0211953	+	0.133822i
$154$	3.28388	+	9.36572i	0.264623	+	0.754711i
$155$	−4.68408	−	1.50418i	−0.376234	−	0.120819i
$156$	−10.4872	+	3.95113i	−0.839651	+	0.316343i
$157$	−3.13469	−	3.13469i	−0.250175	−	0.250175i	0.570867	−	0.821043i	$-0.306607\pi$
$157$	−3.13469	−	3.13469i	−0.250175	−	0.250175i	−0.821043	+	0.570867i	$0.806607\pi$
$158$	−1.75037	+	12.9837i	−0.139252	+	1.03293i
$159$	1.34484	−	4.13898i	0.106652	−	0.328242i
$160$	−11.8717	−	4.36622i	−0.938537	−	0.345180i
$161$	−3.63522	−	11.1881i	−0.286496	−	0.881743i
$162$	−1.39133	+	0.253401i	−0.109313	+	0.0199091i
$163$	−3.54660	+	1.80708i	−0.277791	+	0.141542i	−0.587336	−	0.809343i	$-0.699823\pi$
$163$	−3.54660	+	1.80708i	−0.277791	+	0.141542i	0.309545	+	0.950885i	$0.399823\pi$
$164$	10.7987	+	2.96551i	0.843240	+	0.231567i
$165$	−4.86435	−	9.46631i	−0.378689	−	0.736951i
$166$	7.24478	+	5.01239i	0.562304	+	0.389037i
$167$	−20.0096	+	3.16922i	−1.54839	+	0.245241i	−0.871335	−	0.490689i	$-0.836745\pi$
$167$	−20.0096	+	3.16922i	−1.54839	+	0.245241i	−0.677058	+	0.735930i	$0.736745\pi$
$168$	4.15426	+	0.365914i	0.320508	+	0.0282309i
$169$	−10.8143	+	14.8846i	−0.831871	+	1.14497i
$170$	−1.50353	+	5.08196i	−0.115315	+	0.389769i
$171$	2.01115	+	2.76811i	0.153796	+	0.211682i
$172$	−4.65723	+	5.10822i	−0.355110	+	0.389498i
$173$	6.81344	+	3.47162i	0.518016	+	0.263943i	0.693394	−	0.720559i	$-0.256115\pi$
$173$	6.81344	+	3.47162i	0.518016	+	0.263943i	−0.175377	+	0.984501i	$0.556115\pi$
$174$	−10.9912	−	3.29291i	−0.833244	−	0.249635i
$175$	1.10322	−	7.28917i	0.0833959	−	0.551010i
$176$	17.4876	−	7.52714i	1.31818	−	0.567379i
$177$	−5.75969	+	11.3040i	−0.432925	+	0.849663i
$178$	−1.24263	+	2.58455i	−0.0931393	+	0.193720i
$179$	13.4766	−	9.79134i	1.00729	−	0.731839i	0.0436509	−	0.999047i	$-0.486101\pi$
$179$	13.4766	−	9.79134i	1.00729	−	0.731839i	0.963639	+	0.267208i	$0.0861011\pi$
$180$	−4.46664	+	0.221656i	−0.332924	+	0.0165212i
$181$	14.3280	+	10.4099i	1.06499	+	0.773762i	0.975005	−	0.222181i	$-0.0713176\pi$
$181$	14.3280	+	10.4099i	1.06499	+	0.773762i	0.0899867	+	0.995943i	$0.471318\pi$
$182$	10.2854	−	5.54326i	0.762408	−	0.410894i
$183$	−1.09045	−	6.88483i	−0.0806084	−	0.508942i
$184$	−20.9284	+	8.44130i	−1.54286	+	0.622301i
$185$	−1.97620	−	1.96267i	−0.145293	−	0.144298i
$186$	−0.0717904	−	3.11064i	−0.00526393	−	0.228083i
$187$	−3.62140	−	7.10740i	−0.264823	−	0.519745i
$188$	11.4262	+	1.27273i	0.833342	+	0.0928236i
$189$	1.40227	−	0.455626i	0.102000	−	0.0331419i
$190$	5.16596	+	9.50706i	0.374778	+	0.689714i
$191$	9.15141	+	2.97347i	0.662173	+	0.215153i	0.620774	−	0.783990i	$-0.286819\pi$
$191$	9.15141	+	2.97347i	0.662173	+	0.215153i	0.0413989	+	0.999143i	$0.486819\pi$
$192$	0.149034	−	7.99861i	0.0107556	−	0.577250i
$193$	−8.11384	+	8.11384i	−0.584047	+	0.584047i	−0.936013	−	0.351966i	$-0.885513\pi$
$193$	−8.11384	+	8.11384i	−0.584047	+	0.584047i	0.351966	+	0.936013i	$0.385513\pi$
$194$	3.83007	−	2.92007i	0.274983	−	0.209649i
$195$	−10.1113	+	7.39951i	−0.724089	+	0.529890i
$196$	9.64179	−	0.445282i	0.688699	−	0.0318059i
$197$	2.15209	+	0.340857i	0.153330	+	0.0242851i	0.232628	−	0.972566i	$-0.425268\pi$
$197$	2.15209	+	0.340857i	0.153330	+	0.0242851i	−0.0792975	+	0.996851i	$0.525268\pi$
$198$	4.64860	−	4.86824i	0.330361	−	0.345970i
$199$	−9.69051			−0.686942			−0.343471	−	0.939163i	$-0.611603\pi$
$199$	−9.69051			−0.686942			−0.343471	+	0.939163i	$0.611603\pi$
$200$	−14.0958	−	1.14407i	−0.996722	−	0.0808979i
$201$	7.49129			0.528395
$202$	13.4392	−	14.0742i	0.945577	−	0.990254i
$203$	11.8152	+	1.87135i	0.829268	+	0.131343i
$204$	−3.34826	+	0.154631i	−0.234425	+	0.0108263i
$205$	12.5203	−	0.0429983i	0.874453	−	0.00300313i
$206$	6.88194	−	5.24683i	0.479487	−	0.365564i
$207$	−5.64166	+	5.64166i	−0.392123	+	0.392123i
$208$	−11.9730	−	18.9479i	−0.830177	−	1.31380i
$209$	−15.4885	−	5.03252i	−1.07136	−	0.348107i
$210$	4.58423	−	0.851197i	0.316342	−	0.0587382i
$211$	23.4844	−	7.63053i	1.61673	−	0.525308i	0.645563	−	0.763707i	$-0.276623\pi$
$211$	23.4844	−	7.63053i	1.61673	−	0.525308i	0.971167	+	0.238399i	$0.0766227\pi$
$212$	8.65046	+	0.963550i	0.594116	+	0.0661769i
$213$	−5.71447	−	11.2153i	−0.391549	−	0.768458i
$214$	0.402555	+	17.4425i	0.0275181	+	1.19234i
$215$	−3.48499	+	6.89815i	−0.237674	+	0.470450i
$216$	−1.05800	−	2.62310i	−0.0719880	−	0.178479i
$217$	0.507469	+	3.20403i	0.0344493	+	0.217504i
$218$	17.3886	−	9.37144i	1.17770	−	0.634714i
$219$	8.25193	+	5.99537i	0.557613	+	0.405130i
$220$	16.5794	−	13.3497i	1.11778	−	0.900037i
$221$	−7.59737	+	5.51981i	−0.511055	+	0.371303i
$222$	0.763289	−	1.58756i	0.0512286	−	0.106550i
$223$	−8.96950	+	17.6036i	−0.600642	+	1.17883i	0.367874	+	0.929876i	$0.380086\pi$
$223$	−8.96950	+	17.6036i	−0.600642	+	1.17883i	−0.968516	+	0.248951i	$0.919914\pi$
$224$	0.960167	+	8.28523i	0.0641539	+	0.553580i
$225$	−4.74456	+	1.57771i	−0.316304	+	0.105181i
$226$	−5.89296	−	1.76550i	−0.391994	−	0.117439i
$227$	−0.147478	−	0.0751436i	−0.00978843	−	0.00498746i	0.449089	−	0.893487i	$-0.351748\pi$
$227$	−0.147478	−	0.0751436i	−0.00978843	−	0.00498746i	−0.458878	+	0.888499i	$0.651748\pi$
$228$	−4.61044	+	5.05691i	−0.305334	+	0.334902i
$229$	4.40665	+	6.06523i	0.291200	+	0.400802i	0.929403	−	0.369066i	$-0.120322\pi$
$229$	4.40665	+	6.06523i	0.291200	+	0.400802i	−0.638204	+	0.769867i	$0.720322\pi$
$230$	−20.0115	+	15.3658i	−1.31952	+	1.01319i
$231$	−4.12499	+	5.67756i	−0.271405	+	0.373556i
$232$	2.01349	−	22.8593i	0.132192	−	1.50079i
$233$	10.5449	−	1.67016i	0.690822	−	0.109415i	0.198855	−	0.980029i	$-0.436278\pi$
$233$	10.5449	−	1.67016i	0.690822	−	0.109415i	0.491968	+	0.870614i	$0.336278\pi$
$234$	−6.51677	−	4.50871i	−0.426015	−	0.294744i
$235$	12.6887	−	2.05438i	0.827717	−	0.134013i
$236$	−24.4678	−	6.71925i	−1.59272	−	0.437386i
$237$	−8.25423	+	4.20574i	−0.536170	+	0.273192i
$238$	3.43801	−	0.626162i	0.222853	−	0.0405881i
$239$	6.87021	+	21.1443i	0.444397	+	1.36771i	0.883143	+	0.469103i	$0.155423\pi$
$239$	6.87021	+	21.1443i	0.444397	+	1.36771i	−0.438746	+	0.898611i	$0.644577\pi$
$240$	−2.23722	−	8.65996i	−0.144412	−	0.558998i
$241$	6.30289	−	19.3983i	0.406005	−	1.24956i	−0.514048	−	0.857761i	$-0.671855\pi$
$241$	6.30289	−	19.3983i	0.406005	−	1.24956i	0.920053	−	0.391794i	$-0.128145\pi$
$242$	−2.20207	+	16.3343i	−0.141554	+	1.05001i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	13.0461	−	4.91519i	0.835191	−	0.314663i
$245$	10.2517	−	3.36993i	0.654955	−	0.215297i
$246$	2.62008	+	7.47253i	0.167050	+	0.476431i
$247$	−2.99924	+	18.9365i	−0.190837	+	1.20490i
$248$	6.06427	−	1.39629i	0.385082	−	0.0886644i
$249$			6.22940i			0.394772i
$250$	−15.5255	+	2.99322i	−0.981918	+	0.189308i
$251$			18.0233i			1.13762i	0.822468	+	0.568811i	$0.192597\pi$
$251$			18.0233i			1.13762i	−0.822468	+	0.568811i	$0.807403\pi$
$252$	1.45855	+	2.56291i	0.0918800	+	0.161448i
$253$	5.94063	−	37.5077i	0.373484	−	2.35809i
$254$	−4.57984	+	1.60582i	−0.287365	+	0.100758i
$255$	−3.56005	+	1.17026i	−0.222939	+	0.0732846i
$256$	15.7282	−	2.93684i	0.983010	−	0.183552i
$257$	−1.16576	−	1.16576i	−0.0727178	−	0.0727178i	0.669812	−	0.742530i	$-0.266374\pi$
$257$	−1.16576	−	1.16576i	−0.0727178	−	0.0727178i	−0.742530	+	0.669812i	$0.766374\pi$
$258$	−4.84411	−	0.653047i	−0.301581	−	0.0406569i
$259$	−0.567522	+	1.74665i	−0.0352641	+	0.108532i
$260$	−18.5761	−	16.8196i	−1.15204	−	1.04311i
$261$	−2.50714	−	7.71619i	−0.155188	−	0.477620i
$262$	−1.87367	−	10.2876i	−0.115756	−	0.635571i
$263$	22.7301	−	11.5815i	1.40160	−	0.714149i	0.420431	−	0.907324i	$-0.361879\pi$
$263$	22.7301	−	11.5815i	1.40160	−	0.714149i	0.981164	+	0.193176i	$0.0618787\pi$
$264$	11.4126	+	7.14071i	0.702395	+	0.439480i
$265$	9.60623	−	1.55531i	0.590106	−	0.0955422i
$266$	4.05929	−	5.86719i	0.248891	−	0.359741i
$267$	−2.00285	+	0.317220i	−0.122572	+	0.0194135i
$268$	3.02398	+	14.6742i	0.184719	+	0.896371i
$269$	14.4616	−	19.9047i	0.881740	−	1.21361i	−0.0941958	−	0.995554i	$-0.530028\pi$
$269$	14.4616	−	19.9047i	0.881740	−	1.21361i	0.975936	−	0.218057i	$-0.0699720\pi$
$270$	−1.92590	−	2.50817i	−0.117206	−	0.152642i
$271$	−0.554963	−	0.763841i	−0.0337116	−	0.0464000i	0.791828	−	0.610744i	$-0.209129\pi$
$271$	−0.554963	−	0.763841i	−0.0337116	−	0.0464000i	−0.825540	+	0.564344i	$0.809129\pi$
$272$	−1.65448	−	6.49629i	−0.100318	−	0.393895i
$273$	7.36141	+	3.75083i	0.445533	+	0.227010i
$274$	−4.59967	+	15.3530i	−0.277876	+	0.927509i
$275$	13.8558	−	19.3489i	0.835535	−	1.16679i
$276$	−13.3285	−	8.77377i	−0.802280	−	0.528119i
$277$	−5.23893	+	10.2820i	−0.314777	+	0.617784i	−0.993139	−	0.116944i	$-0.962690\pi$
$277$	−5.23893	+	10.2820i	−0.314777	+	0.617784i	0.678362	+	0.734728i	$0.262690\pi$
$278$	18.6628	+	8.97294i	1.11932	+	0.538161i
$279$	1.77995	−	1.29321i	0.106563	−	0.0774225i
$280$	3.51786	+	8.63616i	0.210232	+	0.516110i
$281$	4.14505	+	3.01155i	0.247273	+	0.179654i	0.704517	−	0.709687i	$-0.251164\pi$
$281$	4.14505	+	3.01155i	0.247273	+	0.179654i	−0.457244	+	0.889341i	$0.651164\pi$
$282$	3.85687	+	7.15637i	0.229673	+	0.426156i
$283$	−1.43610	−	9.06715i	−0.0853670	−	0.538986i	−0.992895	−	0.118994i	$-0.962033\pi$
$283$	−1.43610	−	9.06715i	−0.0853670	−	0.538986i	0.907528	−	0.419992i	$-0.137967\pi$
$284$	19.6622	−	15.7210i	1.16674	−	0.932867i
$285$	−3.44999	+	6.82885i	−0.204359	+	0.404506i
$286$	37.7078	−	0.870257i	2.22971	−	0.0514594i
$287$	−3.74804	−	7.35594i	−0.221240	−	0.434207i
$288$	4.71114	−	3.13132i	0.277607	−	0.184515i
$289$	13.4967	−	4.38536i	0.793926	−	0.257962i
$290$	−4.68382	−	25.2253i	−0.275043	−	1.48128i
$291$	3.23892	+	1.05239i	0.189869	+	0.0616921i
$292$	−8.41295	+	18.5843i	−0.492331	+	1.08757i
$293$	−20.8580	+	20.8580i	−1.21854	+	1.21854i	−0.250392	+	0.968145i	$0.580559\pi$
$293$	−20.8580	+	20.8580i	−1.21854	+	1.21854i	−0.968145	+	0.250392i	$0.919441\pi$
$294$	4.13799	+	5.42754i	0.241332	+	0.316541i
$295$	−28.3684	+	0.0974256i	−1.65167	+	0.00567234i
$296$	3.41790	+	0.854314i	0.198661	+	0.0496560i
$297$	4.70108	+	0.744578i	0.272785	+	0.0432048i
$298$	−7.41811	−	7.08343i	−0.429720	−	0.410332i
$299$	−44.7071			−2.58548
$300$	−5.00570	−	8.65696i	−0.289004	−	0.499810i
$301$	5.09608			0.293733
$302$	−9.09286	−	8.68262i	−0.523235	−	0.499629i
$303$	13.5909	+	2.15259i	0.780777	+	0.123663i
$304$	−11.7668	−	6.98982i	−0.674870	−	0.400894i
$305$	12.5785	−	9.20498i	0.720242	−	0.527075i
$306$	−1.43698	−	1.88480i	−0.0821467	−	0.107747i
$307$	−1.07224	+	1.07224i	−0.0611962	+	0.0611962i	−0.737043	−	0.675846i	$-0.763778\pi$
$307$	−1.07224	+	1.07224i	−0.0611962	+	0.0611962i	0.675846	+	0.737043i	$0.263778\pi$
$308$	−12.7866	−	5.78836i	−0.728582	−	0.329822i
$309$	5.81975	+	1.89095i	0.331074	+	0.107572i
$310$	6.11324	−	3.32183i	0.347209	−	0.188667i
$311$	0.0825240	−	0.0268137i	0.00467951	−	0.00152046i	−0.306676	−	0.951814i	$-0.599217\pi$
$311$	0.0825240	−	0.0268137i	0.00467951	−	0.00152046i	0.311356	+	0.950293i	$0.399217\pi$
$312$	6.20124	−	14.5853i	0.351076	−	0.825732i
$313$	−10.0594	−	19.7428i	−0.568593	−	1.11593i	−0.978969	−	0.204011i	$-0.934602\pi$
$313$	−10.0594	−	19.7428i	−0.568593	−	1.11593i	0.410375	−	0.911917i	$-0.365398\pi$
$314$	6.26771	−	0.144652i	0.353707	−	0.00816320i
$315$	2.33928	+	2.32327i	0.131804	+	0.130901i
$316$	−11.5703	−	14.4710i	−0.650882	−	0.814057i
$317$	4.98965	+	31.5034i	0.280247	+	1.76941i	0.579244	+	0.815154i	$0.303348\pi$
$317$	4.98965	+	31.5034i	0.280247	+	1.76941i	−0.298998	+	0.954254i	$0.596652\pi$
$318$	2.91993	+	5.41789i	0.163741	+	0.303820i
$319$	31.2415	+	22.6983i	1.74919	+	1.27086i
$320$	16.0604	−	7.87809i	0.897802	−	0.440399i
$321$	−9.98083	+	7.25150i	−0.557076	+	0.404739i
$322$	14.9936	+	7.20882i	0.835561	+	0.401732i
$323$	−2.60330	+	5.10926i	−0.144851	+	0.284287i
$324$	1.09967	−	1.67054i	0.0610930	−	0.0928080i
$325$	−25.0502	−	12.5478i	−1.38954	−	0.696024i
$326$	1.61553	−	5.39239i	0.0894759	−	0.298657i
$327$	12.4452	+	6.34115i	0.688222	+	0.350667i
$328$	−13.5798	+	8.14872i	−0.749822	+	0.449938i
$329$	−4.98190	−	6.85700i	−0.274661	−	0.378038i
$330$	14.4330	+	4.27009i	0.794512	+	0.235061i
$331$	−11.2987	+	15.5513i	−0.621031	+	0.854776i	−0.997428	−	0.0716824i	$-0.977163\pi$
$331$	−11.2987	+	15.5513i	−0.621031	+	0.854776i	0.376396	+	0.926459i	$0.377163\pi$
$332$	−12.2024	+	2.51460i	−0.669694	+	0.138007i
$333$	1.23025	−	0.194853i	0.0674173	−	0.0106779i
$334$	16.3011	−	23.5612i	0.891959	−	1.28921i
$335$	7.65602	+	14.8991i	0.418293	+	0.814023i
$336$	−4.43156	+	3.89163i	−0.241761	+	0.212306i
$337$	12.8547	−	6.54977i	0.700238	−	0.356789i	−0.0673530	−	0.997729i	$-0.521455\pi$
$337$	12.8547	−	6.54977i	0.700238	−	0.356789i	0.767591	+	0.640940i	$0.221455\pi$
$338$	−4.66218	−	25.5982i	−0.253589	−	1.39236i
$339$	−1.34421	−	4.13704i	−0.0730072	−	0.224693i
$340$	−3.72943	−	6.50117i	−0.202257	−	0.352575i
$341$	−3.23602	+	9.95944i	−0.175240	+	0.539334i
$342$	−4.79545	−	0.646487i	−0.259308	−	0.0349580i
$343$	−12.3296	−	12.3296i	−0.665738	−	0.665738i
$344$	−0.676189	−	9.75244i	−0.0364577	−	0.525816i
$345$	−16.9862	−	5.45472i	−0.914504	−	0.293672i
$346$	−10.2052	+	3.57824i	−0.548636	+	0.192367i
$347$	−0.544569	+	3.43827i	−0.0292340	+	0.184576i	−0.997984	−	0.0634620i	$-0.979786\pi$
$347$	−0.544569	+	3.43827i	−0.0292340	+	0.184576i	0.968750	+	0.248038i	$0.0797858\pi$
$348$	14.1027	−	8.02586i	0.755985	−	0.430231i
$349$			1.06294i			0.0568981i	0.999595	+	0.0284490i	$0.00905683\pi$
$349$			1.06294i			0.0568981i	−0.999595	+	0.0284490i	$0.990943\pi$
$350$	6.37794	+	8.24744i	0.340915	+	0.440844i
$351$		−	5.60343i		−	0.299089i
$352$	−9.38063	+	25.2379i	−0.499990	+	1.34518i
$353$	−3.21923	+	20.3254i	−0.171342	+	1.08181i	0.740736	+	0.671797i	$0.234477\pi$
$353$	−3.21923	+	20.3254i	−0.171342	+	1.08181i	−0.912078	+	0.410017i	$0.865523\pi$
$354$	−5.93657	−	16.9313i	−0.315525	−	0.899886i
$355$	16.4654	−	22.8271i	0.873893	−	1.21154i
$356$	−1.42986	−	3.79520i	−0.0757827	−	0.201145i
$357$	1.74728	+	1.74728i	0.0924760	+	0.0924760i
$358$	−3.14744	+	23.3468i	−0.166348	+	1.23392i
$359$	−5.08507	+	15.6502i	−0.268380	+	0.825988i	0.722516	+	0.691354i	$0.242986\pi$
$359$	−5.08507	+	15.6502i	−0.268380	+	0.825988i	−0.990895	+	0.134633i	$0.957014\pi$
$360$	4.13568	−	4.78499i	0.217970	−	0.252191i
$361$	−2.25362	−	6.93593i	−0.118612	−	0.365049i
$362$	−24.6409	+	4.48783i	−1.29510	+	0.235875i
$363$	−10.3843	+	5.29107i	−0.545035	+	0.277709i
$364$	−4.37571	+	15.9339i	−0.229350	+	0.835164i
$365$	−3.49054	+	22.5391i	−0.182703	+	1.17975i
$366$	8.10685	+	5.60883i	0.423752	+	0.293178i
$367$	−18.7851	+	2.97526i	−0.980573	+	0.155307i	−0.626086	−	0.779754i	$-0.715344\pi$
$367$	−18.7851	+	2.97526i	−0.980573	+	0.155307i	−0.354486	+	0.935061i	$0.615344\pi$
$368$	11.8061	−	29.6500i	0.615438	−	1.54561i
$369$	−3.29116	+	4.52990i	−0.171331	+	0.235817i
$370$	3.93750	−	0.104404i	0.204701	−	0.00542773i
$371$	−3.77165	−	5.19124i	−0.195815	−	0.269516i
$372$	3.25170	+	2.96462i	0.168593	+	0.153708i
$373$	0.521594	+	0.265765i	0.0270071	+	0.0137608i	0.467442	−	0.884024i	$-0.345176\pi$
$373$	0.521594	+	0.265765i	0.0270071	+	0.0137608i	−0.440435	+	0.897785i	$0.645176\pi$
$374$	10.8064	+	3.23753i	0.558785	+	0.167409i
$375$	−7.98672	−	7.82382i	−0.412433	−	0.404021i
$376$	−12.4613	+	10.4438i	−0.642642	+	0.538597i
$377$	20.6394	−	40.5071i	1.06298	−	2.08622i
$378$	−0.903528	+	1.87925i	−0.0464725	+	0.0966580i
$379$	−4.02282	+	2.92275i	−0.206639	+	0.150132i	−0.686292	−	0.727327i	$-0.740763\pi$
$379$	−4.02282	+	2.92275i	−0.206639	+	0.150132i	0.479653	+	0.877458i	$0.340763\pi$
$380$	−14.7693	−	4.00139i	−0.757648	−	0.205267i
$381$	−2.77633	−	2.01712i	−0.142236	−	0.103340i
$382$	−11.9791	+	6.45605i	−0.612905	+	0.330320i
$383$	2.89726	+	18.2926i	0.148043	+	0.934708i	0.944141	+	0.329540i	$0.106894\pi$
$383$	2.89726	+	18.2926i	0.148043	+	0.934708i	−0.796098	+	0.605167i	$0.793106\pi$
$384$	8.03548	+	7.96437i	0.410059	+	0.406430i
$385$	−15.5075	−	2.40159i	−0.790338	−	0.122396i
$386$	−0.374419	−	16.2234i	−0.0190574	−	0.825748i
$387$	−1.56912	−	3.07957i	−0.0797629	−	0.156544i
$388$	−0.754017	+	6.76934i	−0.0382794	+	0.343661i
$389$	−14.1818	+	4.60795i	−0.719046	+	0.233632i	−0.645609	−	0.763668i	$-0.723397\pi$
$389$	−14.1818	+	4.60795i	−0.719046	+	0.233632i	−0.0734363	+	0.997300i	$0.523397\pi$
$390$	2.30709	−	17.5688i	0.116824	−	0.889629i
$391$	−12.7169	−	4.13196i	−0.643120	−	0.208962i
$392$	−8.96132	+	10.2966i	−0.452615	+	0.520056i
$393$	5.22842	−	5.22842i	0.263739	−	0.263739i
$394$	−2.45049	+	1.86827i	−0.123454	+	0.0941220i
$395$	−16.8003	−	12.1182i	−0.845317	−	0.609734i
$396$	0.439160	+	9.50923i	0.0220686	+	0.477857i
$397$	17.2952	+	2.73929i	0.868021	+	0.137481i	0.574533	−	0.818482i	$-0.305184\pi$
$397$	17.2952	+	2.73929i	0.868021	+	0.137481i	0.293488	+	0.955963i	$0.405184\pi$
$398$	9.46434	−	9.91152i	0.474405	−	0.496819i
$399$	5.04489			0.252560
$400$	14.9370	−	13.2999i	0.746848	−	0.664995i
$401$	−23.4783			−1.17245			−0.586226	−	0.810147i	$-0.699387\pi$
$401$	−23.4783			−1.17245			−0.586226	+	0.810147i	$0.699387\pi$
$402$	−7.31645	+	7.66214i	−0.364911	+	0.382153i
$403$	12.1766	+	1.92858i	0.606558	+	0.0960693i
$404$	1.26962	+	27.4913i	0.0631660	+	1.36775i
$405$	0.683675	−	2.12899i	0.0339721	−	0.105790i
$406$	−13.4535	+	10.2570i	−0.667687	+	0.509048i
$407$	−4.19215	+	4.19215i	−0.207797	+	0.207797i
$408$	3.11196	−	3.57565i	0.154065	−	0.177021i
$409$	36.3503	+	11.8109i	1.79741	+	0.584014i	0.999816	−	0.0191827i	$-0.00610643\pi$
$409$	36.3503	+	11.8109i	1.79741	+	0.584014i	0.797593	+	0.603196i	$0.206106\pi$
$410$	−12.1841	+	12.8478i	−0.601728	+	0.634507i
$411$	−10.7783	+	3.50208i	−0.531654	+	0.172745i
$412$	−1.35483	+	12.1633i	−0.0667477	+	0.599241i
$413$	8.49231	+	16.6671i	0.417879	+	0.820134i
$414$	−0.260338	−	11.2803i	−0.0127949	−	0.554398i
$415$	−12.3894	+	6.36639i	−0.608170	+	0.312514i
$416$	31.0736	+	6.25962i	1.52351	+	0.306903i
$417$	2.29061	+	14.4624i	0.112172	+	0.708225i
$418$	20.2743	−	10.9267i	0.991649	−	0.534441i
$419$	8.44580	+	6.13623i	0.412604	+	0.299775i	0.774655	−	0.632384i	$-0.217923\pi$
$419$	8.44580	+	6.13623i	0.412604	+	0.299775i	−0.362051	+	0.932158i	$0.617923\pi$
$420$	−3.60662	+	5.52011i	−0.175985	+	0.269354i
$421$	3.57920	−	2.60044i	0.174439	−	0.126738i	−0.497140	−	0.867671i	$-0.665616\pi$
$421$	3.57920	−	2.60044i	0.174439	−	0.126738i	0.671579	+	0.740933i	$0.265616\pi$
$422$	−15.1317	+	31.4724i	−0.736600	+	1.53205i
$423$	−2.60974	+	5.12189i	−0.126890	+	0.249035i
$424$	−9.43409	+	7.90669i	−0.458160	+	0.383983i
$425$	−5.96581	−	5.88442i	−0.289384	−	0.285436i
$426$	17.0522	+	5.10873i	0.826180	+	0.247519i
$427$	−9.15758	−	4.66602i	−0.443166	−	0.225805i
$428$	−18.2335	−	16.6237i	−0.881347	−	0.803535i
$429$	15.6766	+	21.5769i	0.756871	+	1.04174i
$430$	−3.65181	−	10.3016i	−0.176106	−	0.496788i
$431$	14.7423	−	20.2911i	0.710114	−	0.977388i	−0.289681	−	0.957123i	$-0.593549\pi$
$431$	14.7423	−	20.2911i	0.710114	−	0.977388i	0.999795	−	0.0202643i	$-0.00645078\pi$
$432$	3.71623	+	1.47974i	0.178797	+	0.0711941i
$433$	11.9800	−	1.89745i	0.575723	−	0.0911856i	0.138219	−	0.990402i	$-0.455862\pi$
$433$	11.9800	−	1.89745i	0.575723	−	0.0911856i	0.437505	+	0.899216i	$0.355862\pi$
$434$	−3.77273	−	2.61021i	−0.181097	−	0.125294i
$435$	12.7841	−	12.8722i	0.612950	−	0.617175i
$436$	−7.39759	+	26.9379i	−0.354280	+	1.29009i
$437$	−24.3236	+	12.3935i	−1.16356	+	0.592862i
$438$	−14.1914	+	2.58468i	−0.678093	+	0.123501i
$439$	6.68775	+	20.5828i	0.319189	+	0.982363i	0.973996	+	0.226567i	$0.0727501\pi$
$439$	6.68775	+	20.5828i	0.319189	+	0.982363i	−0.654807	+	0.755796i	$0.727250\pi$
$440$	−2.53829	+	29.9957i	−0.121008	+	1.42999i
$441$	−1.49133	+	4.58983i	−0.0710155	+	0.218563i
$442$	1.77435	−	13.1616i	0.0843974	−	0.626035i
$443$	8.27711	+	8.27711i	0.393257	+	0.393257i	0.875847	−	0.482589i	$-0.160304\pi$
$443$	8.27711	+	8.27711i	0.393257	+	0.393257i	−0.482589	+	0.875847i	$0.660304\pi$
$444$	0.878296	+	2.33121i	0.0416821	+	0.110634i
$445$	−2.67779	−	3.65917i	−0.126940	−	0.173461i
$446$	−9.24495	−	26.3668i	−0.437761	−	1.24851i
$447$	1.13457	−	7.16341i	0.0536635	−	0.338818i
$448$	−9.41194	−	7.10979i	−0.444673	−	0.335906i
$449$		−	15.5833i		−	0.735422i	−0.929940	−	0.367711i	$-0.880142\pi$
$449$		−	15.5833i		−	0.735422i	0.929940	−	0.367711i	$-0.119858\pi$
$450$	3.02013	−	6.39365i	0.142370	−	0.301400i
$451$		−	26.6507i		−	1.25493i
$452$	7.56119	−	4.30307i	0.355648	−	0.202399i
$453$	1.39072	−	8.78066i	0.0653417	−	0.412551i
$454$	0.220893	−	0.0774513i	0.0103670	−	0.00363497i
$455$	0.0634455	+	18.4741i	0.00297437	+	0.866078i
$456$	−0.669397	−	9.65448i	−0.0313474	−	0.452112i
$457$	−1.36886	−	1.36886i	−0.0640324	−	0.0640324i	0.674365	−	0.738398i	$-0.264417\pi$
$457$	−1.36886	−	1.36886i	−0.0640324	−	0.0640324i	−0.738398	+	0.674365i	$0.764417\pi$
$458$	−10.5074	−	1.41653i	−0.490977	−	0.0661899i
$459$	0.517886	−	1.59389i	0.0241729	−	0.0743964i
$460$	3.82817	−	35.4751i	0.178489	−	1.65403i
$461$	1.20334	+	3.70349i	0.0560450	+	0.172489i	0.975161	−	0.221499i	$-0.0710951\pi$
$461$	1.20334	+	3.70349i	0.0560450	+	0.172489i	−0.919115	+	0.393988i	$0.871095\pi$
$462$	−1.77833	−	9.76413i	−0.0827355	−	0.454268i
$463$	30.4751	−	15.5278i	1.41630	−	0.721639i	0.432618	−	0.901577i	$-0.357590\pi$
$463$	30.4751	−	15.5278i	1.41630	−	0.721639i	0.983678	+	0.179938i	$0.0575898\pi$
$464$	21.4142	+	24.3852i	0.994128	+	1.13206i
$465$	4.39110	+	2.21842i	0.203632	+	0.102877i
$466$	−8.59059	+	12.4166i	−0.397951	+	0.575189i
$467$	1.58480	−	0.251008i	0.0733359	−	0.0116153i	−0.119659	−	0.992815i	$-0.538180\pi$
$467$	1.58480	−	0.251008i	0.0733359	−	0.0116153i	0.192995	+	0.981200i	$0.438180\pi$
$468$	10.9762	−	2.26192i	0.507376	−	0.104557i
$469$	6.49234	−	8.93595i	0.299789	−	0.412624i
$470$	−10.2913	+	14.9845i	−0.474702	+	0.691183i
$471$	2.60572	+	3.58647i	0.120065	+	0.165256i
$472$	30.7692	−	18.4634i	1.41627	−	0.849846i
$473$	14.6578	+	7.46852i	0.673966	+	0.343403i
$474$	3.75992	−	12.5501i	0.172699	−	0.576443i
$475$	−17.1074	+	0.117506i	−0.784943	+	0.00539152i
$476$	−2.71733	+	4.12797i	−0.124549	+	0.189205i
$477$	−1.97576	+	3.87764i	−0.0904637	+	0.177545i
$478$	−28.3364	−	13.6240i	−1.29608	−	0.623145i
$479$	−5.24823	+	3.81306i	−0.239798	+	0.174223i	−0.701193	−	0.712971i	$-0.747349\pi$
$479$	−5.24823	+	3.81306i	−0.239798	+	0.174223i	0.461395	+	0.887195i	$0.347349\pi$
$480$	11.0425	+	6.16960i	0.504017	+	0.281602i
$481$	5.64658	+	4.10248i	0.257462	+	0.187057i
$482$	13.6849	+	25.3922i	0.623332	+	1.15658i
$483$	1.84027	+	11.6190i	0.0837351	+	0.528683i
$484$	−14.5562	−	18.2054i	−0.661643	−	0.827517i
$485$	1.21710	+	7.51727i	0.0552655	+	0.341341i
$486$	1.41384	−	0.0326299i	0.0641330	−	0.00148012i
$487$	−1.10097	−	2.16077i	−0.0498896	−	0.0979138i	0.864716	−	0.502262i	$-0.167499\pi$
$487$	−1.10097	−	2.16077i	−0.0498896	−	0.0979138i	−0.914605	+	0.404348i	$0.867499\pi$
$488$	−7.71433	+	18.1441i	−0.349211	+	0.821346i
$489$	3.78563	−	1.23002i	0.171192	−	0.0556236i
$490$	−6.56561	+	13.7767i	−0.296604	+	0.622370i
$491$	12.7330	+	4.13721i	0.574634	+	0.186710i	0.581895	−	0.813264i	$-0.302311\pi$
$491$	12.7330	+	4.13721i	0.574634	+	0.186710i	−0.00726141	+	0.999974i	$0.502311\pi$
$492$	−10.2019	−	4.61829i	−0.459936	−	0.208209i
$493$	9.61465	−	9.61465i	0.433022	−	0.433022i
$494$	−16.4391	−	21.5622i	−0.739630	−	0.970127i
$495$	3.32360	+	10.1107i	0.149385	+	0.454443i
$496$	−4.49460	+	7.56628i	−0.201814	+	0.339736i
$497$	−18.3305	−	2.90327i	−0.822237	−	0.130230i
$498$	−6.37147	−	6.08401i	−0.285513	−	0.272631i
$499$	−33.0488			−1.47947			−0.739734	−	0.672900i	$-0.765049\pi$
$499$	−33.0488			−1.47947			−0.739734	+	0.672900i	$0.765049\pi$
$500$	12.1016	−	18.8029i	0.541202	−	0.840893i
$501$	20.2591			0.905108
$502$	−18.4344	−	17.6027i	−0.822767	−	0.785647i
$503$	14.8800	+	2.35677i	0.663468	+	0.105083i	0.479081	−	0.877771i	$-0.340970\pi$
$503$	14.8800	+	2.35677i	0.663468	+	0.105083i	0.184387	+	0.982854i	$0.440970\pi$
$504$	−4.04587	−	1.01128i	−0.180217	−	0.0450459i
$505$	9.60859	+	29.2303i	0.427577	+	1.30073i
$506$	32.5611	+	42.7084i	1.44752	+	1.89862i
$507$	13.0096	−	13.0096i	0.577779	−	0.577779i
$508$	2.83051	−	6.25264i	0.125584	−	0.277416i
$509$	−15.1212	−	4.91317i	−0.670234	−	0.217772i	−0.0459196	−	0.998945i	$-0.514622\pi$
$509$	−15.1212	−	4.91317i	−0.670234	−	0.217772i	−0.624315	+	0.781173i	$0.714622\pi$
$510$	2.28001	−	4.78419i	0.100960	−	0.211847i
$511$	14.3031	−	4.64736i	0.632732	−	0.205587i
$512$	−12.3573	+	18.9552i	−0.546119	+	0.837708i
$513$	−1.55336	−	3.04864i	−0.0685825	−	0.134601i
$514$	2.33089	−	0.0537945i	0.102811	−	0.00237278i
$515$	2.18690	+	13.5072i	0.0963663	+	0.595196i
$516$	5.39899	−	4.31678i	0.237677	−	0.190036i
$517$	−4.28016	−	27.0239i	−0.188241	−	1.18851i
$518$	−1.23221	−	2.28635i	−0.0541402	−	0.100457i
$519$	−6.18648	−	4.49474i	−0.271556	−	0.197297i
$520$	35.3457	−	2.57271i	1.55001	−	0.112821i
$521$	−18.9526	+	13.7698i	−0.830327	+	0.603268i	−0.919652	−	0.392735i	$-0.871529\pi$
$521$	−18.9526	+	13.7698i	−0.830327	+	0.603268i	0.0893252	+	0.996003i	$0.471529\pi$
$522$	10.3408	+	4.97178i	0.452604	+	0.217609i
$523$	−18.9802	+	37.2508i	−0.829947	+	1.62886i	−0.0535947	+	0.998563i	$0.517068\pi$
$523$	−18.9802	+	37.2508i	−0.829947	+	1.62886i	−0.776352	+	0.630300i	$0.782932\pi$
$524$	12.3522	+	8.13110i	0.539608	+	0.355209i
$525$	−2.22992	+	7.02685i	−0.0973217	+	0.306677i
$526$	−10.3539	+	34.5597i	−0.451451	+	1.50687i
$527$	3.28536	+	1.67398i	0.143113	+	0.0729196i
$528$	−18.4498	+	4.69880i	−0.802924	+	0.204489i
$529$	−23.8974	−	32.8920i	−1.03902	−	1.43009i
$530$	−7.79124	+	11.3443i	−0.338430	+	0.492766i
$531$	7.45712	−	10.2638i	0.323612	−	0.445413i
$532$	2.03645	+	9.88213i	0.0882914	+	0.428445i
$533$	−30.9888	+	4.90814i	−1.34227	+	0.212595i
$534$	1.63165	−	2.35834i	0.0706083	−	0.102055i
$535$	−24.6225	−	12.4394i	−1.06452	−	0.537804i
$536$	−17.9623	−	11.2388i	−0.775853	−	0.485442i
$537$	−14.8424	+	7.56258i	−0.640497	+	0.326349i
$538$	6.23457	+	34.2316i	0.268791	+	1.47583i
$539$	−7.09824	−	21.8461i	−0.305743	−	0.940980i
$540$	4.44632	+	0.479810i	0.191339	+	0.0206477i
$541$	7.36951	−	22.6810i	0.316840	−	0.975133i	−0.658150	−	0.752886i	$-0.728661\pi$
$541$	7.36951	−	22.6810i	0.316840	−	0.975133i	0.974990	−	0.222247i	$-0.0713391\pi$
$542$	1.32327	+	0.178394i	0.0568394	+	0.00766267i
$543$	−12.5231	−	12.5231i	−0.537419	−	0.537419i
$544$	8.26031	+	4.65246i	0.354158	+	0.199473i
$545$	0.107261	+	31.2323i	0.00459456	+	1.33784i
$546$	−11.0260	+	3.86602i	−0.471868	+	0.165450i
$547$	4.47666	−	28.2645i	0.191408	−	1.20850i	−0.685582	−	0.727996i	$-0.740452\pi$
$547$	4.47666	−	28.2645i	0.191408	−	1.20850i	0.876990	−	0.480509i	$-0.159548\pi$
$548$	−11.2108	−	19.6993i	−0.478903	−	0.841511i
$549$			6.97065i			0.297500i
$550$	6.25783	+	33.0692i	0.266835	+	1.41007i
$551$		−	27.7601i		−	1.18262i
$552$	21.9913	−	5.06345i	0.936010	−	0.215515i
$553$	−2.13675	+	13.4909i	−0.0908640	+	0.573693i
$554$	−5.39982	−	15.4004i	−0.229416	−	0.654301i
$555$	1.64484	+	2.24765i	0.0698194	+	0.0954074i
$556$	−27.4048	+	10.3249i	−1.16222	+	0.437874i
$557$	−19.6252	−	19.6252i	−0.831547	−	0.831547i	0.156181	−	0.987728i	$-0.450082\pi$
$557$	−19.6252	−	19.6252i	−0.831547	−	0.831547i	−0.987728	+	0.156181i	$0.950082\pi$
$558$	−0.415705	+	3.08358i	−0.0175982	+	0.130538i
$559$	5.98475	−	18.4192i	0.253128	−	0.779048i
$560$	−12.2689	−	4.83652i	−0.518455	−	0.204380i
$561$	2.46497	+	7.58641i	0.104071	+	0.320298i
$562$	−7.12854	+	1.29832i	−0.300699	+	0.0547661i
$563$	24.2640	−	12.3631i	1.02261	−	0.521044i	0.139503	−	0.990222i	$-0.455449\pi$
$563$	24.2640	−	12.3631i	1.02261	−	0.521044i	0.883104	+	0.469177i	$0.155449\pi$
$564$	−11.0864	−	3.04452i	−0.466823	−	0.128197i
$565$	6.85420	−	6.90144i	0.288358	−	0.290346i
$566$	10.6765	+	7.38668i	0.448767	+	0.310485i
$567$	−1.45628	+	0.230653i	−0.0611582	+	0.00968651i
$568$	−3.12379	+	35.4647i	−0.131071	+	1.48806i
$569$	20.7368	−	28.5418i	0.869333	−	1.19653i	−0.109930	−	0.993939i	$-0.535063\pi$
$569$	20.7368	−	28.5418i	0.869333	−	1.19653i	0.979263	−	0.202594i	$-0.0649373\pi$
$570$	−3.61513	−	10.1981i	−0.151421	−	0.427153i
$571$	−2.29350	−	3.15674i	−0.0959802	−	0.132105i	0.758326	−	0.651876i	$-0.226018\pi$
$571$	−2.29350	−	3.15674i	−0.0959802	−	0.132105i	−0.854306	+	0.519770i	$0.826018\pi$
$572$	−35.9376	+	39.4177i	−1.50263	+	1.64814i
$573$	−8.57359	−	4.36846i	−0.358167	−	0.182495i
$574$	11.1843	+	3.35074i	0.466822	+	0.139857i
$575$	−6.51106	−	39.3577i	−0.271530	−	1.64133i
$576$	−1.39846	+	7.87682i	−0.0582691	+	0.328201i
$577$	−11.1988	+	21.9789i	−0.466213	+	0.914994i	0.531478	+	0.847072i	$0.321637\pi$
$577$	−11.1988	+	21.9789i	−0.466213	+	0.914994i	−0.997691	+	0.0679219i	$0.978363\pi$
$578$	−8.69637	+	18.0876i	−0.361721	+	0.752343i
$579$	9.28323	−	6.74466i	0.385798	−	0.280299i
$580$	30.3751	+	19.8459i	1.26126	+	0.824056i
$581$	7.43071	+	5.39873i	0.308278	+	0.223977i
$582$	−4.23972	+	2.28496i	−0.175742	+	0.0947147i
$583$	−3.24039	−	20.4590i	−0.134203	−	0.847326i
$584$	−10.7916	−	26.7554i	−0.446559	−	1.10715i
$585$	11.1444	−	5.72665i	0.460764	−	0.236768i
$586$	−0.962505	−	41.7049i	−0.0397607	−	1.72281i
$587$	−1.15344	−	2.26375i	−0.0476076	−	0.0934351i	0.865977	−	0.500084i	$-0.166697\pi$
$587$	−1.15344	−	2.26375i	−0.0476076	−	0.0934351i	−0.913585	+	0.406648i	$0.866697\pi$
$588$	−9.59274	−	1.06851i	−0.395598	−	0.0440645i
$589$	7.15949	−	2.32626i	0.295002	−	0.0958519i
$590$	27.6067	−	29.1105i	1.13655	−	1.19846i
$591$	−2.07227	−	0.673322i	−0.0852419	−	0.0276968i
$592$	−4.21192	+	2.66147i	−0.173109	+	0.109386i
$593$	24.4019	−	24.4019i	1.00206	−	1.00206i	0.00206677	−	0.999998i	$-0.499342\pi$
$593$	24.4019	−	24.4019i	1.00206	−	1.00206i	0.999998	−	0.00206677i	$-0.000657873\pi$
$594$	−5.35292	+	4.08110i	−0.219633	+	0.167449i
$595$	−1.68938	+	5.26080i	−0.0692580	+	0.215672i
$596$	14.4900	−	0.669183i	0.593532	−	0.0274108i
$597$	9.57120	+	1.51593i	0.391723	+	0.0620429i
$598$	43.6636	−	45.7267i	1.78554	−	1.86990i
$599$	10.8060			0.441521			0.220761	−	0.975328i	$-0.429146\pi$
$599$	10.8060			0.441521			0.220761	+	0.975328i	$0.429146\pi$
$600$	13.7433	+	3.33505i	0.561067	+	0.136153i
$601$	−18.5184			−0.755379			−0.377690	−	0.925932i	$-0.623281\pi$
$601$	−18.5184			−0.755379			−0.377690	+	0.925932i	$0.623281\pi$
$602$	−4.97714	+	5.21230i	−0.202853	+	0.212438i
$603$	−7.39906	−	1.17190i	−0.301313	−	0.0477233i
$604$	17.7613	−	0.820261i	0.722697	−	0.0333760i
$605$	−21.1358	−	15.2454i	−0.859293	−	0.619815i
$606$	−15.4754	+	11.7985i	−0.628645	+	0.479282i
$607$	31.2527	−	31.2527i	1.26851	−	1.26851i	0.321651	−	0.946858i	$-0.395762\pi$
$607$	31.2527	−	31.2527i	1.26851	−	1.26851i	0.946858	−	0.321651i	$-0.104238\pi$
$608$	18.6414	−	5.20843i	0.756007	−	0.211230i
$609$	−11.3770	−	3.69662i	−0.461021	−	0.149795i
$610$	−2.87001	+	21.8555i	−0.116203	+	0.884904i
$611$	−30.6344	+	9.95373i	−1.23934	+	0.402685i
$612$	3.33123	+	0.371056i	0.134657	+	0.0149990i
$613$	−3.45059	−	6.77216i	−0.139368	−	0.273525i	0.810764	−	0.585373i	$-0.199052\pi$
$613$	−3.45059	−	6.77216i	−0.139368	−	0.273525i	−0.950132	+	0.311848i	$0.899052\pi$
$614$	−0.0494794	−	2.14392i	−0.00199683	−	0.0865215i
$615$	−12.3728	−	1.91613i	−0.498921	−	0.0772659i
$616$	18.4085	−	7.42492i	0.741700	−	0.299158i
$617$	−5.40602	−	34.1323i	−0.217638	−	1.37411i	−0.818384	−	0.574672i	$-0.805130\pi$
$617$	−5.40602	−	34.1323i	−0.217638	−	1.37411i	0.600746	−	0.799440i	$-0.294870\pi$
$618$	−7.61799	+	4.10566i	−0.306441	+	0.165154i
$619$	11.1832	+	8.12509i	0.449492	+	0.326575i	0.789395	−	0.613885i	$-0.210394\pi$
$619$	11.1832	+	8.12509i	0.449492	+	0.326575i	−0.339903	+	0.940460i	$0.610394\pi$
$620$	−2.57298	+	9.49696i	−0.103333	+	0.381407i
$621$	6.45476	−	4.68966i	0.259020	−	0.188189i
$622$	−0.0531728	+	0.110594i	−0.00213203	+	0.00443441i
$623$	−1.35738	+	2.66400i	−0.0543822	+	0.106731i
$624$	8.86147	+	20.5876i	0.354743	+	0.824163i
$625$	7.39809	−	23.8803i	0.295923	−	0.955212i
$626$	30.0177	+	8.99313i	1.19975	+	0.359438i
$627$	14.5106	+	7.39350i	0.579496	+	0.295268i
$628$	−5.97348	+	6.55193i	−0.238368	+	0.261451i
$629$	1.22700	+	1.68882i	0.0489237	+	0.0673376i
$630$	−4.66094	+	0.123587i	−0.185696	+	0.00492381i
$631$	15.1133	−	20.8017i	0.601652	−	0.828103i	−0.394206	−	0.919022i	$-0.628980\pi$
$631$	15.1133	−	20.8017i	0.601652	−	0.828103i	0.995858	+	0.0909189i	$0.0289804\pi$
$632$	26.1013	+	2.29905i	1.03825	+	0.0914513i
$633$	−24.3889	+	3.86282i	−0.969372	+	0.153533i
$634$	−37.0951	−	25.6647i	−1.47323	−	1.01928i
$635$	1.17438	−	7.58320i	0.0466038	−	0.300930i
$636$	−8.39323	−	2.30492i	−0.332813	−	0.0913959i
$637$	−24.0949	+	12.2770i	−0.954675	+	0.486431i
$638$	−53.7283	+	9.78550i	−2.12713	+	0.387411i
$639$	3.88966	+	11.9711i	0.153872	+	0.473571i
$640$	−7.62778	+	24.1209i	−0.301514	+	0.953462i
$641$	−3.11325	+	9.58161i	−0.122966	+	0.378451i	−0.993525	−	0.113613i	$-0.963757\pi$
$641$	−3.11325	+	9.58161i	−0.122966	+	0.378451i	0.870559	+	0.492064i	$0.163757\pi$
$642$	2.33101	−	17.2907i	0.0919975	−	0.682410i
$643$	17.4447	+	17.4447i	0.687951	+	0.687951i	0.961779	−	0.273828i	$-0.0882899\pi$
$643$	17.4447	+	17.4447i	0.687951	+	0.687951i	−0.273828	+	0.961779i	$0.588290\pi$
$644$	−22.0169	+	8.29499i	−0.867587	+	0.326868i
$645$	4.52119	−	6.26805i	0.178022	−	0.246804i
$646$	−2.68325	−	7.65269i	−0.105571	−	0.301091i
$647$	−4.48496	+	28.3169i	−0.176322	+	1.11325i	0.727741	+	0.685852i	$0.240570\pi$
$647$	−4.48496	+	28.3169i	−0.176322	+	1.11325i	−0.904063	+	0.427400i	$0.859430\pi$
$648$	0.634636	+	2.75631i	0.0249308	+	0.108278i
$649$			60.3852i			2.37033i
$650$	37.2995	−	13.3666i	1.46301	−	0.524283i
$651$		−	3.24397i		−	0.127141i
$652$	3.93755	+	6.91891i	0.154206	+	0.270966i
$653$	−0.257017	+	1.62274i	−0.0100578	+	0.0635027i	−0.992207	−	0.124602i	$-0.960235\pi$
$653$	−0.257017	+	1.62274i	−0.0100578	+	0.0635027i	0.982149	+	0.188105i	$0.0602345\pi$
$654$	−18.6405	+	6.53589i	−0.728902	+	0.255574i
$655$	15.7420	+	5.05517i	0.615089	+	0.197522i
$656$	4.92834	−	21.8481i	0.192419	−	0.853025i
$657$	−7.21245	−	7.21245i	−0.281384	−	0.281384i
$658$	11.8790	+	1.60144i	0.463092	+	0.0624307i
$659$	−6.95495	+	21.4051i	−0.270926	+	0.833826i	0.719342	+	0.694656i	$0.244443\pi$
$659$	−6.95495	+	21.4051i	−0.270926	+	0.833826i	−0.990269	+	0.139170i	$0.955557\pi$
$660$	−18.4636	+	10.5918i	−0.718696	+	0.412284i
$661$	12.2871	+	37.8159i	0.477914	+	1.47087i	0.841986	+	0.539499i	$0.181386\pi$
$661$	12.2871	+	37.8159i	0.477914	+	1.47087i	−0.364072	+	0.931371i	$0.618614\pi$
$662$	−4.87099	−	26.7447i	−0.189316	−	1.03946i
$663$	8.36733	−	4.26337i	0.324960	−	0.165575i
$664$	9.34566	−	14.9366i	0.362682	−	0.579653i
$665$	5.15583	+	10.0335i	0.199934	+	0.389084i
$666$	−1.00224	+	1.44861i	−0.0388361	+	0.0561326i
$667$	63.9350	−	10.1263i	2.47557	−	0.392092i
$668$	8.17791	+	39.6843i	0.316413	+	1.53543i
$669$	11.6129	−	15.9838i	0.448980	−	0.617968i
$670$	−22.7162	−	6.72071i	−0.877603	−	0.259644i
$671$	−19.5016	−	26.8416i	−0.752851	−	1.03621i
$672$	0.347749	−	8.33343i	0.0134147	−	0.321469i
$673$	9.74354	+	4.96458i	0.375586	+	0.191371i	0.631585	−	0.775306i	$-0.282405\pi$
$673$	9.74354	+	4.96458i	0.375586	+	0.191371i	−0.255999	+	0.966677i	$0.582405\pi$
$674$	−5.85549	+	19.5447i	−0.225545	+	0.752835i
$675$	4.93295	−	0.816074i	0.189869	−	0.0314107i
$676$	30.7354	+	20.2323i	1.18213	+	0.778164i
$677$	20.7348	−	40.6944i	0.796904	−	1.56401i	−0.0285840	−	0.999591i	$-0.509100\pi$
$677$	20.7348	−	40.6944i	0.796904	−	1.56401i	0.825488	−	0.564420i	$-0.190900\pi$
$678$	5.54422	+	2.66562i	0.212925	+	0.102373i
$679$	4.06236	−	2.95147i	0.155899	−	0.113267i
$680$	10.2918	+	2.53495i	0.394673	+	0.0972110i
$681$	0.133907	+	0.0972891i	0.00513132	+	0.00372812i
$682$	−7.02609	−	13.0368i	−0.269043	−	0.499206i
$683$	3.21000	+	20.2671i	0.122827	+	0.775500i	0.969807	+	0.243875i	$0.0784186\pi$
$683$	3.21000	+	20.2671i	0.122827	+	0.775500i	−0.846980	+	0.531626i	$0.821581\pi$
$684$	5.34476	−	4.27342i	0.204362	−	0.163398i
$685$	−17.9804	−	17.8573i	−0.686996	−	0.682294i
$686$	24.6527	−	0.568959i	0.941245	−	0.0217230i
$687$	−3.40358	−	6.67991i	−0.129855	−	0.254854i
$688$	10.6353	+	8.83322i	0.405466	+	0.336763i
$689$	−23.1925	+	7.53569i	−0.883563	+	0.287087i
$690$	22.1688	−	12.0462i	0.843954	−	0.458589i
$691$	−19.2612	−	6.25835i	−0.732731	−	0.238079i	−0.0811970	−	0.996698i	$-0.525874\pi$
$691$	−19.2612	−	6.25835i	−0.732731	−	0.238079i	−0.651534	+	0.758619i	$0.725874\pi$
$692$	6.30720	−	13.9327i	0.239764	−	0.529641i
$693$	4.96237	−	4.96237i	0.188505	−	0.188505i
$694$	−2.98483	−	3.91501i	−0.113303	−	0.148612i
$695$	−26.4225	+	19.3361i	−1.00226	+	0.733460i
$696$	−5.56468	+	22.2629i	−0.210929	+	0.843873i
$697$	−9.26836	−	1.46796i	−0.351064	−	0.0556031i
$698$	−1.08719	−	1.03814i	−0.0411506	−	0.0392940i
$699$	−10.6764			−0.403818
$700$	−14.6646	−	1.53155i	−0.554270	−	0.0578872i
$701$	13.8933			0.524741			0.262370	−	0.964967i	$-0.415496\pi$
$701$	13.8933			0.524741			0.262370	+	0.964967i	$0.415496\pi$
$702$	5.73122	+	5.47265i	0.216311	+	0.206552i
$703$	4.20939	+	0.666701i	0.158760	+	0.0251451i
$704$	−16.6518	−	34.2434i	−0.627587	−	1.29060i
$705$	−12.8538	+	0.0441439i	−0.484103	+	0.00166255i
$706$	−17.6449	−	23.1437i	−0.664074	−	0.871025i
$707$	14.3463	−	14.3463i	0.539548	−	0.539548i
$708$	23.1154	+	10.4641i	0.868731	+	0.393266i
$709$	15.5492	+	5.05225i	0.583964	+	0.189741i	0.586076	−	0.810256i	$-0.300672\pi$
$709$	15.5492	+	5.05225i	0.583964	+	0.189741i	−0.00211169	+	0.999998i	$0.500672\pi$
$710$	7.26663	+	39.1353i	0.272712	+	1.46872i
$711$	8.81053	−	2.86271i	0.330421	−	0.107360i
$712$	5.27825	+	2.24415i	0.197811	+	0.0841032i
$713$	7.96929	+	15.6406i	0.298452	+	0.585746i
$714$	−3.49364	+	0.0806295i	−0.130746	+	0.00301748i
$715$	−26.8921	+	53.2298i	−1.00571	+	1.99068i
$716$	−20.8053	−	26.0211i	−0.777529	−	0.972455i
$717$	−3.47793	−	21.9588i	−0.129886	−	0.820065i
$718$	−11.0408	−	20.4860i	−0.412038	−	0.764531i
$719$	6.10365	+	4.43456i	0.227628	+	0.165381i	0.695753	−	0.718281i	$-0.255071\pi$
$719$	6.10365	+	4.43456i	0.227628	+	0.165381i	−0.468126	+	0.883662i	$0.655071\pi$
$720$	0.854962	+	8.90332i	0.0318625	+	0.331807i
$721$	7.29931	−	5.30326i	0.271840	−	0.197504i
$722$	9.29514	+	4.46904i	0.345929	+	0.166320i
$723$	−9.25986	+	18.1735i	−0.344378	+	0.675880i
$724$	19.4756	−	29.5860i	0.723807	−	1.09955i
$725$	38.6661	+	12.2704i	1.43602	+	0.455712i
$726$	4.73021	−	15.7887i	0.175554	−	0.585974i
$727$	42.6795	+	21.7463i	1.58289	+	0.806525i	0.999982	−	0.00600972i	$-0.00191296\pi$
$727$	42.6795	+	21.7463i	1.58289	+	0.806525i	0.582913	+	0.812535i	$0.301913\pi$
$728$	−12.0237	−	20.0375i	−0.445629	−	0.742641i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−19.6441	−	25.5832i	−0.727059	−	0.946876i
$731$	3.40471	−	4.68618i	0.125928	−	0.173325i
$732$	−13.6544	+	2.81382i	−0.504681	+	0.104002i
$733$	12.5781	−	1.99218i	0.464584	−	0.0735829i	0.0802457	−	0.996775i	$-0.474430\pi$
$733$	12.5781	−	1.99218i	0.464584	−	0.0735829i	0.384339	+	0.923192i	$0.374430\pi$
$734$	15.3035	−	22.1193i	0.564863	−	0.816439i
$735$	−10.6526	+	1.72473i	−0.392928	+	0.0636177i
$736$	18.7956	+	41.0334i	0.692816	+	1.51251i
$737$	31.7699	−	16.1876i	1.17026	−	0.596276i
$738$	−1.41886	−	7.79040i	−0.0522289	−	0.286769i
$739$	−7.24911	−	22.3105i	−0.266663	−	0.820704i	−0.991306	−	0.131579i	$-0.957995\pi$
$739$	−7.24911	−	22.3105i	−0.266663	−	0.820704i	0.724643	−	0.689125i	$-0.242005\pi$
$740$	−3.73882	+	4.12927i	−0.137442	+	0.151795i
$741$	5.92463	−	18.2341i	0.217647	−	0.669848i
$742$	8.99326	+	1.21241i	0.330153	+	0.0445088i
$743$	−31.2758	−	31.2758i	−1.14740	−	1.14740i	−0.987062	−	0.160337i	$-0.948742\pi$
$743$	−31.2758	−	31.2758i	−1.14740	−	1.14740i	−0.160337	−	0.987062i	$-0.551258\pi$
$744$	−6.20804	+	0.430437i	−0.227598	+	0.0157806i
$745$	15.4065	−	5.06444i	0.564450	−	0.185547i
$746$	−0.781247	+	0.273927i	−0.0286035	+	0.0100292i
$747$	0.974493	−	6.15271i	0.0356548	−	0.225116i
$748$	−13.8655	+	7.89087i	−0.506974	+	0.288519i
$749$			18.1901i			0.664652i
$750$	15.8026	−	0.527650i	0.577029	−	0.0192671i
$751$			25.1683i			0.918404i	0.888332	+	0.459202i	$0.151865\pi$
$751$			25.1683i			0.918404i	−0.888332	+	0.459202i	$0.848135\pi$
$752$	1.48850	−	22.9455i	0.0542799	−	0.836737i
$753$	2.81947	−	17.8014i	0.102747	−	0.648721i
$754$	21.2732	+	60.6718i	0.774726	+	2.20954i
$755$	18.8847	−	6.20781i	0.687286	−	0.225925i
$756$	−1.03967	−	2.75952i	−0.0378123	−	0.100363i
$757$	19.3441	+	19.3441i	0.703072	+	0.703072i	0.965069	−	0.261997i	$-0.0843809\pi$
$757$	19.3441	+	19.3441i	0.703072	+	0.703072i	−0.261997	+	0.965069i	$0.584381\pi$
$758$	0.939524	−	6.96911i	0.0341251	−	0.253129i
$759$	−11.7350	+	36.1166i	−0.425953	+	1.31095i
$760$	18.5172	−	11.1981i	0.671690	−	0.406198i
$761$	−8.59037	−	26.4384i	−0.311401	−	0.958392i	−0.977211	−	0.212271i	$-0.931914\pi$
$761$	−8.59037	−	26.4384i	−0.311401	−	0.958392i	0.665810	−	0.746121i	$-0.268086\pi$
$762$	4.77466	−	0.869605i	0.172968	−	0.0315025i
$763$	18.3497	−	9.34964i	0.664304	−	0.338480i
$764$	5.09624	−	18.5577i	0.184376	−	0.671393i
$765$	3.69929	−	0.598940i	0.133748	−	0.0216547i
$766$	−21.5394	−	14.9023i	−0.778251	−	0.538443i
$767$	70.2144	−	11.1209i	2.53530	−	0.401551i
$768$	−15.9939	+	0.440254i	−0.577132	+	0.0158863i
$769$	−13.5028	+	18.5850i	−0.486923	+	0.670192i	−0.979817	−	0.199897i	$-0.935939\pi$
$769$	−13.5028	+	18.5850i	−0.486923	+	0.670192i	0.492894	+	0.870090i	$0.335939\pi$
$770$	17.6020	−	13.5157i	0.634331	−	0.487071i
$771$	0.969038	+	1.33377i	0.0348991	+	0.0480344i
$772$	16.9590	+	15.4618i	0.610369	+	0.556481i
$773$	17.5103	+	8.92192i	0.629800	+	0.320899i	0.739592	−	0.673055i	$-0.235018\pi$
$773$	17.5103	+	8.92192i	0.629800	+	0.320899i	−0.109792	+	0.993955i	$0.535018\pi$
$774$	4.68231	+	1.40279i	0.168302	+	0.0504223i
$775$	0.0755586	+	11.0005i	0.00271415	+	0.395148i
$776$	−6.18730	−	7.38256i	−0.222111	−	0.265019i
$777$	0.833771	−	1.63637i	0.0299114	−	0.0587044i
$778$	9.13777	−	19.0056i	0.327605	−	0.681385i
$779$	−15.4994	+	11.2609i	−0.555322	+	0.403465i
$780$	15.7162	+	19.5184i	0.562730	+	0.698872i
$781$	−48.4691	−	35.2148i	−1.73436	−	1.26009i
$782$	16.6463	−	8.97138i	0.595270	−	0.320816i
$783$	1.26920	+	8.01339i	0.0453574	+	0.286375i
$784$	−1.77923	−	19.2220i	−0.0635440	−	0.686499i
$785$	−4.46994	+	8.84774i	−0.159539	+	0.315789i
$786$	0.241269	+	10.4541i	0.00860578	+	0.372884i
$787$	−8.24852	−	16.1886i	−0.294028	−	0.577062i	0.695982	−	0.718059i	$-0.254969\pi$
$787$	−8.24852	−	16.1886i	−0.294028	−	0.577062i	−0.990010	+	0.140997i	$0.954969\pi$
$788$	0.482423	−	4.33105i	0.0171856	−	0.154287i
$789$	−24.2620	+	7.88319i	−0.863749	+	0.280649i
$790$	28.8028	−	5.34810i	1.02476	−	0.190277i
$791$	−6.09981	−	1.98195i	−0.216884	−	0.0704699i
$792$	−10.1550	−	8.83812i	−0.360843	−	0.314049i
$793$	−27.6193	+	27.6193i	−0.980789	+	0.980789i
$794$	−19.6933	+	15.0143i	−0.698889	+	0.532837i
$795$	−9.73126	+	0.0334201i	−0.345132	+	0.00118529i
$796$	0.894112	+	19.3604i	0.0316909	+	0.686211i
$797$	12.2393	+	1.93851i	0.433537	+	0.0686655i	0.369389	−	0.929275i	$-0.379567\pi$
$797$	12.2393	+	1.93851i	0.433537	+	0.0686655i	0.0641480	+	0.997940i	$0.479567\pi$
$798$	−4.92715	+	5.15995i	−0.174419	+	0.182660i
$799$	−9.63389			−0.340823
$800$	−0.985131	+	28.2671i	−0.0348296	+	0.999393i
$801$	2.02781			0.0716492
$802$	22.9304	−	24.0138i	0.809700	−	0.847957i
$803$	47.9508	+	7.59466i	1.69215	+	0.268010i
$804$	−0.691197	−	14.9666i	−0.0243766	−	0.527832i
$805$	−21.2277	+	15.5345i	−0.748180	+	0.547520i
$806$	−13.8649	+	10.5707i	−0.488371	+	0.372337i
$807$	−17.3973	+	17.3973i	−0.612416	+	0.612416i
$808$	−29.3583	−	25.5511i	−1.03282	−	0.898886i
$809$	7.78970	+	2.53103i	0.273871	+	0.0889862i	0.442733	−	0.896654i	$-0.354009\pi$
$809$	7.78970	+	2.53103i	0.273871	+	0.0889862i	−0.168861	+	0.985640i	$0.554009\pi$
$810$	1.50982	+	2.77857i	0.0530498	+	0.0976289i
$811$	−51.5148	+	16.7382i	−1.80893	+	0.587756i	−1.00000		0.000151490i	$-0.999952\pi$
$811$	−51.5148	+	16.7382i	−1.80893	+	0.587756i	−0.808928	+	0.587908i	$0.799952\pi$
$812$	2.64856	−	23.7780i	0.0929464	−	0.834444i
$813$	0.428639	+	0.841252i	0.0150330	+	0.0295040i
$814$	−0.193449	−	8.38206i	−0.00678040	−	0.293791i
$815$	6.31521	+	6.27198i	0.221212	+	0.219698i
$816$	0.617866	+	6.67512i	0.0216296	+	0.233676i
$817$	−1.84998	−	11.6803i	−0.0647227	−	0.408643i
$818$	−47.5823	+	25.6441i	−1.66368	+	0.896624i
$819$	−6.68402	−	4.85623i	−0.233559	−	0.169690i
$820$	−1.24111	−	25.0099i	−0.0433414	−	0.873383i
$821$	10.9434	−	7.95088i	0.381929	−	0.277487i	−0.380211	−	0.924900i	$-0.624149\pi$
$821$	10.9434	−	7.95088i	0.381929	−	0.277487i	0.762140	+	0.647412i	$0.224149\pi$
$822$	6.94478	−	14.4444i	0.242227	−	0.503808i
$823$	−9.68724	+	19.0123i	−0.337676	+	0.662726i	−0.995936	−	0.0900643i	$-0.971293\pi$
$823$	−9.68724	+	19.0123i	−0.337676	+	0.662726i	0.658260	+	0.752791i	$0.271293\pi$
$824$	−11.1175	−	13.2651i	−0.387295	−	0.462112i
$825$	−16.7120	+	16.9432i	−0.581839	+	0.589887i
$826$	−25.3413	−	7.59211i	−0.881737	−	0.264163i
$827$	−41.9088	−	21.3536i	−1.45731	−	0.742537i	−0.467375	−	0.884059i	$-0.654800\pi$
$827$	−41.9088	−	21.3536i	−1.45731	−	0.742537i	−0.989935	+	0.141522i	$0.954800\pi$
$828$	11.7919	+	10.7508i	0.409795	+	0.373615i
$829$	−13.0763	−	17.9979i	−0.454158	−	0.625094i	0.519127	−	0.854697i	$-0.326257\pi$
$829$	−13.0763	−	17.9979i	−0.454158	−	0.625094i	−0.973284	+	0.229603i	$0.926257\pi$
$830$	5.58863	−	18.8897i	0.193984	−	0.655672i
$831$	6.78288	−	9.33584i	0.235296	−	0.323857i
$832$	−36.7507	+	25.6687i	−1.27410	+	0.889903i
$833$	−7.98844	+	1.26525i	−0.276783	+	0.0438381i
$834$	−17.0294	−	11.7820i	−0.589678	−	0.407976i
$835$	20.7046	+	40.2923i	0.716511	+	1.39437i
$836$	−8.62525	+	31.4084i	−0.298311	+	1.08628i
$837$	−1.96034	+	0.998844i	−0.0677593	+	0.0345251i
$838$	−14.5249	+	2.64540i	−0.501753	+	0.0913839i
$839$	−7.78737	−	23.9670i	−0.268850	−	0.827434i	−0.990781	−	0.135470i	$-0.956746\pi$
$839$	−7.78737	−	23.9670i	−0.268850	−	0.827434i	0.721932	−	0.691964i	$-0.243254\pi$
$840$	−2.12355	−	9.08015i	−0.0732696	−	0.313295i
$841$	−11.3796	+	35.0230i	−0.392402	+	1.20769i
$842$	−0.835916	+	6.20058i	−0.0288076	+	0.213686i
$843$	−3.62290	−	3.62290i	−0.124779	−	0.124779i
$844$	−17.4116	−	46.2147i	−0.599333	−	1.59077i
$845$	39.1700	+	12.5785i	1.34749	+	0.432715i
$846$	−2.68988	−	7.67161i	−0.0924800	−	0.263755i
$847$	−2.68816	+	16.9724i	−0.0923664	+	0.583178i
$848$	1.12690	−	17.3714i	0.0386979	−	0.596536i
$849$			9.18017i			0.315063i
$850$	11.8452	−	0.354792i	0.406287	−	0.0121693i
$851$			9.93793i			0.340668i
$852$	−21.8794	+	12.4516i	−0.749576	+	0.426584i
$853$	0.162467	−	1.02578i	0.00556276	−	0.0351219i	−0.984751	−	0.173971i	$-0.944340\pi$
$853$	0.162467	−	1.02578i	0.00556276	−	0.0351219i	0.990314	+	0.138849i	$0.0443402\pi$
$854$	13.7163	−	4.80931i	0.469362	−	0.164571i
$855$	4.47578	−	6.20508i	0.153068	−	0.212209i
$856$	34.8107	−	2.41361i	1.18981	−	0.0824956i
$857$	37.1535	+	37.1535i	1.26914	+	1.26914i	0.946534	+	0.322604i	$0.104558\pi$
$857$	37.1535	+	37.1535i	1.26914	+	1.26914i	0.322604	+	0.946534i	$0.395442\pi$
$858$	−37.3797	−	5.03926i	−1.27612	−	0.172037i
$859$	−3.89611	+	11.9910i	−0.132933	+	0.409127i	−0.995263	−	0.0972207i	$-0.969005\pi$
$859$	−3.89611	+	11.9910i	−0.132933	+	0.409127i	0.862329	+	0.506348i	$0.169005\pi$
$860$	14.1032	+	6.32609i	0.480913	+	0.215718i
$861$	2.55117	+	7.85170i	0.0869437	+	0.267585i
$862$	6.35559	+	34.8961i	0.216472	+	1.18857i
$863$	−20.6059	+	10.4992i	−0.701431	+	0.357397i	−0.768058	−	0.640381i	$-0.778777\pi$
$863$	−20.6059	+	10.4992i	−0.701431	+	0.357397i	0.0666261	+	0.997778i	$0.478777\pi$
$864$	−5.14299	+	2.35578i	−0.174968	+	0.0801452i
$865$	2.61686	−	16.8976i	0.0889758	−	0.574535i
$866$	−9.75970	+	14.1064i	−0.331648	+	0.479355i
$867$	−14.0166	+	2.22001i	−0.476028	+	0.0753955i
$868$	6.35442	−	1.30948i	0.215683	−	0.0444468i
$869$	−25.9174	+	35.6723i	−0.879189	+	1.21010i
$870$	0.680051	+	25.6474i	0.0230559	+	0.869529i
$871$	−24.6734	−	33.9600i	−0.836026	−	1.15069i
$872$	−20.3273	−	33.8755i	−0.688370	−	1.14717i
$873$	−3.03441	−	1.54611i	−0.102699	−	0.0523279i
$874$	11.0798	−	36.9826i	0.374779	−	1.25096i
$875$	−16.2543	+	2.74639i	−0.549497	+	0.0928448i
$876$	11.2166	−	17.0395i	0.378974	−	0.575710i
$877$	−9.76273	+	19.1604i	−0.329664	+	0.647002i	−0.995037	−	0.0995093i	$-0.968273\pi$
$877$	−9.76273	+	19.1604i	−0.329664	+	0.647002i	0.665373	+	0.746511i	$0.268273\pi$
$878$	−27.5839	−	13.2621i	−0.930911	−	0.447575i
$879$	23.8641	−	17.3383i	0.804916	−	0.584806i
$880$	−28.2007	−	31.8918i	−0.950646	−	1.07507i
$881$	−11.5702	−	8.40623i	−0.389809	−	0.283213i	0.375568	−	0.926795i	$-0.377448\pi$
$881$	−11.5702	−	8.40623i	−0.389809	−	0.283213i	−0.765377	+	0.643582i	$0.777448\pi$
$882$	−3.23799	−	6.00805i	−0.109029	−	0.202301i
$883$	6.44822	+	40.7125i	0.217000	+	1.37008i	0.820009	+	0.572350i	$0.193968\pi$
$883$	6.44822	+	40.7125i	0.217000	+	1.37008i	−0.603009	+	0.797734i	$0.706032\pi$
$884$	11.7289	+	14.6693i	0.394484	+	0.493381i
$885$	28.0344	+	4.34157i	0.942366	+	0.145940i
$886$	−16.5498	+	0.381952i	−0.556002	+	0.0128319i
$887$	−3.65750	−	7.17824i	−0.122807	−	0.241022i	0.821416	−	0.570330i	$-0.193185\pi$
$887$	−3.65750	−	7.17824i	−0.122807	−	0.241022i	−0.944223	+	0.329308i	$0.893185\pi$
$888$	−3.24217	−	1.37847i	−0.108800	−	0.0462585i
$889$	−4.81223	+	1.56359i	−0.161397	+	0.0524411i
$890$	6.35792	+	0.834907i	0.213118	+	0.0279861i
$891$	−4.52673	−	1.47082i	−0.151651	−	0.0492744i
$892$	35.9974	+	16.2957i	1.20528	+	0.545619i
$893$	−13.9078	+	13.9078i	−0.465408	+	0.465408i
$894$	6.21869	+	8.15667i	0.207984	+	0.272800i
$895$	−30.2096	−	21.7905i	−1.00980	−	0.728375i
$896$	16.4642	−	2.68274i	0.550031	−	0.0896241i
$897$	44.1566	+	6.99373i	1.47435	+	0.233514i
$898$	15.9387	+	15.2196i	0.531882	+	0.507885i
$899$	−17.8504			−0.595343
$900$	3.58983	+	9.33344i	0.119661	+	0.311115i
$901$	−7.29355			−0.242983
$902$	27.2585	+	26.0287i	0.907610	+	0.866661i
$903$	−5.03334	−	0.797202i	−0.167499	−	0.0265292i
$904$	−2.98351	+	11.9363i	−0.0992300	+	0.396994i
$905$	12.1082	−	37.7052i	0.402489	−	1.25336i
$906$	7.62265	+	9.99816i	0.253246	+	0.332167i
$907$	−22.6464	+	22.6464i	−0.751962	+	0.751962i	−0.974845	−	0.222883i	$-0.928453\pi$
$907$	−22.6464	+	22.6464i	−0.751962	+	0.751962i	0.222883	+	0.974845i	$0.428453\pi$
$908$	−0.136520	+	0.301574i	−0.00453057	+	0.0100081i
$909$	−13.0868	−	4.25217i	−0.434063	−	0.141036i
$910$	−18.9574	−	17.9780i	−0.628431	−	0.595965i
$911$	13.8057	−	4.48573i	0.457402	−	0.148619i	−0.0712485	−	0.997459i	$-0.522698\pi$
$911$	13.8057	−	4.48573i	0.457402	−	0.148619i	0.528650	+	0.848840i	$0.322698\pi$
$912$	10.5284	+	8.74449i	0.348631	+	0.289559i
$913$	13.4608	+	26.4183i	0.445488	+	0.874319i
$914$	2.73698	−	0.0631668i	0.0905314	−	0.00208937i
$915$	−13.8636	+	7.12394i	−0.458317	+	0.235510i
$916$	11.7110	−	9.36353i	0.386941	−	0.309380i
$917$	−1.70547	−	10.7679i	−0.0563197	−	0.355588i
$918$	1.12444	+	2.08639i	0.0371121	+	0.0688610i
$919$	−8.34391	−	6.06221i	−0.275240	−	0.199974i	0.441598	−	0.897213i	$-0.354412\pi$
$919$	−8.34391	−	6.06221i	−0.275240	−	0.199974i	−0.716839	+	0.697239i	$0.754412\pi$
$920$	32.5453	+	38.5626i	1.07299	+	1.27137i
$921$	1.22678	−	0.891308i	0.0404238	−	0.0293696i
$922$	−4.96321	−	2.38628i	−0.163455	−	0.0785878i
$923$	−32.0206	+	62.8440i	−1.05397	+	2.06854i
$924$	11.7236	+	7.71735i	0.385679	+	0.253882i
$925$	−2.78924	+	5.56841i	−0.0917096	+	0.183088i
$926$	−13.8818	+	46.3355i	−0.456186	+	1.52268i
$927$	−5.45229	−	2.77808i	−0.179077	−	0.0912441i
$928$	−45.8557	−	1.91353i	−1.50529	−	0.0628149i
$929$	1.79123	+	2.46542i	0.0587683	+	0.0808877i	0.837390	−	0.546606i	$-0.184081\pi$
$929$	1.79123	+	2.46542i	0.0587683	+	0.0808877i	−0.778621	+	0.627494i	$0.784081\pi$
$930$	−6.55763	+	2.32461i	−0.215033	+	0.0762269i
$931$	−9.70586	+	13.3590i	−0.318097	+	0.437823i
$932$	−4.30970	−	20.9133i	−0.141169	−	0.685039i
$933$	−0.0857026	+	0.0135740i	−0.00280578	+	0.000444391i
$934$	−1.29108	+	1.86610i	−0.0422455	+	0.0610606i
$935$	−12.5691	+	12.6557i	−0.411053	+	0.413886i
$936$	−8.40654	+	13.4357i	−0.274776	+	0.439159i
$937$	−22.1391	+	11.2805i	−0.723254	+	0.368516i	−0.776544	−	0.630063i	$-0.783029\pi$
$937$	−22.1391	+	11.2805i	−0.723254	+	0.368516i	0.0532902	+	0.998579i	$0.483029\pi$
$938$	2.79892	+	15.3678i	0.0913881	+	0.501777i
$939$	6.84715	+	21.0733i	0.223448	+	0.687703i
$940$	−5.27513	−	25.1608i	−0.172056	−	0.820653i
$941$	−17.5113	+	53.8942i	−0.570851	+	1.75690i	0.0790384	+	0.996872i	$0.474815\pi$
$941$	−17.5113	+	53.8942i	−0.570851	+	1.75690i	−0.649890	+	0.760028i	$0.725185\pi$
$942$	−6.21317	−	0.837614i	−0.202436	−	0.0272910i
$943$	−31.5892	−	31.5892i	−1.02868	−	1.02868i
$944$	−11.1666	+	49.5034i	−0.363443	+	1.61120i
$945$	−1.94704	−	2.66061i	−0.0633373	−	0.0865497i
$946$	−21.9545	+	7.69788i	−0.713804	+	0.250280i
$947$	4.35758	−	27.5127i	0.141602	−	0.894042i	−0.809937	−	0.586516i	$-0.800499\pi$
$947$	4.35758	−	27.5127i	0.141602	−	0.894042i	0.951540	−	0.307526i	$-0.0995010\pi$
$948$	9.16411	+	16.1028i	0.297637	+	0.522996i
$949$		−	57.1546i		−	1.85532i
$950$	16.5880	−	17.6124i	0.538185	−	0.571420i
$951$		−	31.8961i		−	1.03430i
$952$	−1.56820	−	6.81093i	−0.0508258	−	0.220743i
$953$	8.63132	−	54.4960i	0.279596	−	1.76530i	−0.303439	−	0.952851i	$-0.598135\pi$
$953$	8.63132	−	54.4960i	0.279596	−	1.76530i	0.583034	−	0.812447i	$-0.301865\pi$
$954$	−2.03643	−	5.80796i	−0.0659319	−	0.188040i
$955$	−0.0738928	−	21.5161i	−0.00239112	−	0.696245i
$956$	41.6098	−	15.6767i	1.34576	−	0.507021i
$957$	−27.3061	−	27.3061i	−0.882680	−	0.882680i
$958$	1.22572	−	9.09200i	0.0396011	−	0.293749i
$959$	−5.16360	+	15.8919i	−0.166741	+	0.513177i
$960$	−17.0951	+	5.26870i	−0.551740	+	0.170047i
$961$	8.08369	+	24.8790i	0.260764	+	0.802550i
$962$	−9.71083	+	1.76863i	−0.313090	+	0.0570228i
$963$	10.9923	−	5.60087i	0.354223	−	0.180486i
$964$	−39.3369	−	10.8025i	−1.26696	−	0.347927i
$965$	22.9015	+	11.5700i	0.737226	+	0.372452i
$966$	−13.6813	−	9.46558i	−0.440189	−	0.304550i
$967$	−42.4566	+	6.72446i	−1.36531	+	0.216244i	−0.795710	−	0.605677i	$-0.792902\pi$
$967$	−42.4566	+	6.72446i	−1.36531	+	0.216244i	−0.569601	+	0.821921i	$0.692902\pi$
$968$	32.8370	+	2.89234i	1.05542	+	0.0929633i
$969$	3.37051	−	4.63911i	0.108276	−	0.149030i
$970$	−8.87740	−	6.09697i	−0.285036	−	0.195762i
$971$	−0.810009	−	1.11488i	−0.0259944	−	0.0357783i	0.795822	−	0.605531i	$-0.207039\pi$
$971$	−0.810009	−	1.11488i	−0.0259944	−	0.0357783i	−0.821816	+	0.569752i	$0.807039\pi$
$972$	−1.34747	+	1.47795i	−0.0432200	+	0.0474053i
$973$	19.2365	+	9.80150i	0.616695	+	0.314222i
$974$	3.28532	+	0.984263i	0.105268	+	0.0315378i
$975$	22.7789	+	16.3120i	0.729509	+	0.522402i
$976$	−11.0236	−	25.6109i	−0.352858	−	0.819786i
$977$	−9.92504	+	19.4790i	−0.317530	+	0.623188i	−0.993512	−	0.113731i	$-0.963720\pi$
$977$	−9.92504	+	19.4790i	−0.317530	+	0.623188i	0.675982	+	0.736919i	$0.263720\pi$
$978$	−2.43920	+	5.07328i	−0.0779969	+	0.162226i
$979$	−7.80842	+	5.67315i	−0.249558	+	0.181315i
$980$	−7.67858	−	20.1706i	−0.245283	−	0.644325i
$981$	−11.3000	−	8.20994i	−0.360782	−	0.262123i
$982$	−16.6674	+	8.98278i	−0.531879	+	0.286652i
$983$	−1.68880	−	10.6627i	−0.0538643	−	0.340086i	−0.999873	−	0.0159443i	$-0.994925\pi$
$983$	−1.68880	−	10.6627i	−0.0538643	−	0.340086i	0.946009	−	0.324142i	$-0.105075\pi$
$984$	14.6874	−	5.92404i	0.468217	−	0.188852i
$985$	−0.778703	−	4.80957i	−0.0248115	−	0.153246i
$986$	0.443674	+	19.2242i	0.0141295	+	0.612223i
$987$	3.84789	+	7.55191i	0.122480	+	0.240380i
$988$	38.1093	+	4.24489i	1.21242	+	0.135048i
$989$	26.2264	−	8.52147i	0.833950	−	0.270967i
$990$	−13.5873	−	6.47534i	−0.431834	−	0.205800i
$991$	38.6911	+	12.5715i	1.22906	+	0.399347i	0.850375	−	0.526178i	$-0.176375\pi$
$991$	38.6911	+	12.5715i	1.22906	+	0.399347i	0.378688	+	0.925524i	$0.376375\pi$
$992$	−3.34913	−	11.9868i	−0.106335	−	0.380581i
$993$	13.5923	−	13.5923i	0.431340	−	0.431340i
$994$	20.8722	−	15.9131i	0.662026	−	0.504733i
$995$	6.76671	+	20.5850i	0.214519	+	0.652588i
$996$	12.4455	−	0.574767i	0.394352	−	0.0182122i
$997$	−8.40429	−	1.33111i	−0.266167	−	0.0421567i	0.0219246	−	0.999760i	$-0.493021\pi$
$997$	−8.40429	−	1.33111i	−0.266167	−	0.0421567i	−0.288091	+	0.957603i	$0.593021\pi$
$998$	32.2775	−	33.8025i	1.02173	−	1.07000i
$999$	−1.24559			−0.0394086

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.67.8	✓	240
3.2	odd	2		900.2.bj.f.667.23		240
4.3	odd	2	inner	300.2.w.a.67.14	yes	240
12.11	even	2		900.2.bj.f.667.17		240
25.3	odd	20	inner	300.2.w.a.103.14	yes	240
75.53	even	20		900.2.bj.f.703.17		240
100.3	even	20	inner	300.2.w.a.103.8	yes	240
300.203	odd	20		900.2.bj.f.703.23		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.67.8	✓	240	1.1	even	1	trivial
300.2.w.a.67.14	yes	240	4.3	odd	2	inner
300.2.w.a.103.8	yes	240	100.3	even	20	inner
300.2.w.a.103.14	yes	240	25.3	odd	20	inner
900.2.bj.f.667.17		240	12.11	even	2
900.2.bj.f.667.23		240	3.2	odd	2
900.2.bj.f.703.17		240	75.53	even	20
900.2.bj.f.703.23		240	300.203	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.976661 + 1.02281i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.0922667 - 1.99787i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(1.12464 - 0.857431i) q^{6} +(-1.04258 + 1.04258i) q^{7} +(2.13355 + 1.85687i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-0.976661 + 1.02281i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.0922667 - 1.99787i) q^{4} +(-0.698282 - 2.12424i) q^{5} +(1.12464 - 0.857431i) q^{6} +(-1.04258 + 1.04258i) q^{7} +(2.13355 + 1.85687i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.85467 + 1.36046i) q^{10} +(-4.52673 + 1.47082i) q^{11} +(-0.221405 + 1.98771i) q^{12} +(2.54390 + 4.99269i) q^{13} +(-0.0481108 - 2.08461i) q^{14} +(0.357381 + 2.20732i) q^{15} +(-3.98297 + 0.368674i) q^{16} +(0.262171 + 1.65528i) q^{17} +(-1.24492 + 0.670942i) q^{18} +(2.76811 + 2.01115i) q^{19} +(-4.17953 + 1.59107i) q^{20} +(1.19285 - 0.866653i) q^{21} +(2.91671 - 6.06646i) q^{22} +(-3.62217 + 7.10891i) q^{23} +(-1.81680 - 2.16777i) q^{24} +(-4.02480 + 2.96664i) q^{25} +(-7.59109 - 2.27425i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(2.17915 + 1.98675i) q^{28} +(-4.76887 - 6.56378i) q^{29} +(-2.60671 - 1.79028i) q^{30} +(1.29321 - 1.77995i) q^{31} +(3.51293 - 4.43388i) q^{32} +(4.70108 - 0.744578i) q^{33} +(-1.94908 - 1.34850i) q^{34} +(2.94272 + 1.48668i) q^{35} +(0.529625 - 1.92860i) q^{36} +(1.10983 - 0.565484i) q^{37} +(-4.76052 + 0.867029i) q^{38} +(-1.73155 - 5.32918i) q^{39} +(2.45462 - 5.82879i) q^{40} +(-1.73027 + 5.32522i) q^{41} +(-0.278587 + 2.06648i) q^{42} +(-2.44396 - 2.44396i) q^{43} +(3.35618 + 8.90811i) q^{44} +(-0.00767928 - 2.23605i) q^{45} +(-3.73341 - 10.6478i) q^{46} +(-0.899254 + 5.67766i) q^{47} +(3.99161 + 0.258939i) q^{48} +4.82603i q^{49} +(0.896569 - 7.01400i) q^{50} -1.67591i q^{51} +(9.74003 - 5.54305i) q^{52} +(-0.680800 + 4.29840i) q^{53} +(1.33456 - 0.467933i) q^{54} +(6.28532 + 8.58881i) q^{55} +(-4.16035 + 0.288460i) q^{56} +(-2.41941 - 2.41941i) q^{57} +(11.3710 + 1.53296i) q^{58} +(3.92044 - 12.0659i) q^{59} +(4.37697 - 0.917663i) q^{60} +(2.15405 + 6.62949i) q^{61} +(0.557518 + 3.06112i) q^{62} +(-1.31373 + 0.669381i) q^{63} +(1.10406 + 7.92345i) q^{64} +(8.82932 - 8.89017i) q^{65} +(-3.82980 + 5.53550i) q^{66} +(-7.39906 + 1.17190i) q^{67} +(3.28285 - 0.676511i) q^{68} +(4.68966 - 6.45476i) q^{69} +(-4.39463 + 1.55785i) q^{70} +(7.39857 + 10.1833i) q^{71} +(1.45532 + 2.42529i) q^{72} +(-9.08821 - 4.63068i) q^{73} +(-0.505542 + 1.68742i) q^{74} +(4.43934 - 2.30050i) q^{75} +(3.76261 - 5.71588i) q^{76} +(3.18604 - 6.25296i) q^{77} +(7.14186 + 3.43375i) q^{78} +(7.49468 - 5.44520i) q^{79} +(3.56439 + 8.20336i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-3.75678 - 6.97066i) q^{82} +(-0.974493 - 6.15271i) q^{83} +(-1.84152 - 2.30319i) q^{84} +(3.33315 - 1.71277i) q^{85} +(4.88663 - 0.112778i) q^{86} +(3.68335 + 7.22899i) q^{87} +(-12.3891 - 5.26748i) q^{88} +(1.92856 - 0.626628i) q^{89} +(2.29455 + 2.17601i) q^{90} +(-7.85754 - 2.55307i) q^{91} +(14.5369 + 6.58071i) q^{92} +(-1.55574 + 1.55574i) q^{93} +(-4.92889 - 6.46492i) q^{94} +(2.33924 - 7.28448i) q^{95} +(-4.16329 + 3.82975i) q^{96} +(-3.36367 - 0.532753i) q^{97} +(-4.93610 - 4.71340i) q^{98} -4.75968 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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