LMFDB - Embedded newform 273.2.by.d.97.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.5
Character	$\chi$	$=$	273.97
Dual form			273.2.by.d.76.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0473445 + 0.176692i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.70307 - 0.983269i) q^{4} +(2.80040 + 2.80040i) q^{5} +(0.0473445 - 0.176692i) q^{6} +(-0.467560 - 2.60411i) q^{7} +(0.513062 + 0.513062i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.0473445 + 0.176692i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.70307 - 0.983269i) q^{4} +(2.80040 + 2.80040i) q^{5} +(0.0473445 - 0.176692i) q^{6} +(-0.467560 - 2.60411i) q^{7} +(0.513062 + 0.513062i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.362225 + 0.627392i) q^{10} +(-2.53602 + 0.679524i) q^{11} -1.96654 q^{12} +(1.37067 + 3.33485i) q^{13} +(0.437989 - 0.205904i) q^{14} +(-1.02502 - 3.82542i) q^{15} +(1.90018 - 3.29120i) q^{16} +(-1.43204 - 2.48037i) q^{17} +(-0.129347 + 0.129347i) q^{18} +(0.759707 - 2.83527i) q^{19} +(7.52284 + 2.01574i) q^{20} +(-0.897136 + 2.48901i) q^{21} +(-0.240133 - 0.415922i) q^{22} +(7.27090 + 4.19786i) q^{23} +(-0.187794 - 0.700855i) q^{24} +10.6845i q^{25} +(-0.524348 + 0.400074i) q^{26} -1.00000i q^{27} +(-3.35683 - 3.97525i) q^{28} +(1.66138 - 2.87760i) q^{29} +(0.627392 - 0.362225i) q^{30} +(-6.75045 - 6.75045i) q^{31} +(2.07320 + 0.555513i) q^{32} +(2.53602 + 0.679524i) q^{33} +(0.370463 - 0.370463i) q^{34} +(5.98320 - 8.60192i) q^{35} +(1.70307 + 0.983269i) q^{36} +(-6.77592 + 1.81560i) q^{37} +0.536937 q^{38} +(0.480389 - 3.57341i) q^{39} +2.87356i q^{40} +(-2.79099 + 0.747843i) q^{41} +(-0.482262 - 0.0406761i) q^{42} +(-2.43132 + 1.40372i) q^{43} +(-3.65087 + 3.65087i) q^{44} +(-1.02502 + 3.82542i) q^{45} +(-0.397491 + 1.48346i) q^{46} +(-4.85765 + 4.85765i) q^{47} +(-3.29120 + 1.90018i) q^{48} +(-6.56278 + 2.43516i) q^{49} +(-1.88787 + 0.505853i) q^{50} +2.86409i q^{51} +(5.61342 + 4.33176i) q^{52} -5.43259 q^{53} +(0.176692 - 0.0473445i) q^{54} +(-9.00481 - 5.19893i) q^{55} +(1.09618 - 1.57596i) q^{56} +(-2.07556 + 2.07556i) q^{57} +(0.587105 + 0.157314i) q^{58} +(-0.00666592 - 0.00178613i) q^{59} +(-5.50710 - 5.50710i) q^{60} +(5.65469 - 3.26474i) q^{61} +(0.873154 - 1.51235i) q^{62} +(2.02145 - 1.70697i) q^{63} -7.20808i q^{64} +(-5.50050 + 13.1774i) q^{65} +0.480266i q^{66} +(2.10207 + 7.84504i) q^{67} +(-4.87775 - 2.81617i) q^{68} +(-4.19786 - 7.27090i) q^{69} +(1.80316 + 0.649930i) q^{70} +(-14.5933 - 3.91026i) q^{71} +(-0.187794 + 0.700855i) q^{72} +(0.321617 - 0.321617i) q^{73} +(-0.641604 - 1.11129i) q^{74} +(5.34226 - 9.25307i) q^{75} +(-1.49399 - 5.57566i) q^{76} +(2.95530 + 6.28635i) q^{77} +(0.654136 - 0.0843000i) q^{78} +0.280448 q^{79} +(14.5379 - 3.89543i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.264276 - 0.457739i) q^{82} +(-2.42973 - 2.42973i) q^{83} +(0.919475 + 5.12108i) q^{84} +(2.93575 - 10.9564i) q^{85} +(-0.363136 - 0.363136i) q^{86} +(-2.87760 + 1.66138i) q^{87} +(-1.64977 - 0.952496i) q^{88} +(0.0536096 + 0.200074i) q^{89} -0.724450 q^{90} +(8.04346 - 5.12863i) q^{91} +16.5105 q^{92} +(2.47084 + 9.22129i) q^{93} +(-1.08829 - 0.628324i) q^{94} +(10.0674 - 5.81240i) q^{95} +(-1.51769 - 1.51769i) q^{96} +(0.197356 - 0.736543i) q^{97} +(-0.740984 - 1.04430i) q^{98} +(-1.85649 - 1.85649i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{5}{12}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.0473445	+	0.176692i	0.0334776	+	0.124940i	0.980642	−	0.195807i	$-0.0627327\pi$
$2$	0.0473445	+	0.176692i	0.0334776	+	0.124940i	−0.947165	+	0.320747i	$0.896066\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	1.70307	−	0.983269i	0.851536	−	0.491635i
$5$	2.80040	+	2.80040i	1.25238	+	1.25238i	0.954651	+	0.297728i	$0.0962288\pi$
$5$	2.80040	+	2.80040i	1.25238	+	1.25238i	0.297728	+	0.954651i	$0.403771\pi$
$6$	0.0473445	−	0.176692i	0.0193283	−	0.0721342i
$7$	−0.467560	−	2.60411i	−0.176721	−	0.984261i
$7$	−0.467560	−	2.60411i	−0.176721	−	0.984261i
$8$	0.513062	+	0.513062i	0.181395	+	0.181395i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−0.362225	+	0.627392i	−0.114546	+	0.198399i
$11$	−2.53602	+	0.679524i	−0.764638	+	0.204884i	−0.620001	−	0.784601i	$-0.712868\pi$
$11$	−2.53602	+	0.679524i	−0.764638	+	0.204884i	−0.144637	+	0.989485i	$0.546201\pi$
$12$	−1.96654			−0.567691
$13$	1.37067	+	3.33485i	0.380156	+	0.924922i
$13$	1.37067	+	3.33485i	0.380156	+	0.924922i
$14$	0.437989	−	0.205904i	0.117057	−	0.0550302i
$15$	−1.02502	−	3.82542i	−0.264659	−	0.987720i
$16$	1.90018	−	3.29120i	0.475044	−	0.822800i
$17$	−1.43204	−	2.48037i	−0.347322	−	0.601579i	0.638451	−	0.769663i	$-0.279576\pi$
$17$	−1.43204	−	2.48037i	−0.347322	−	0.601579i	−0.985773	+	0.168083i	$0.946242\pi$
$18$	−0.129347	+	0.129347i	−0.0304875	+	0.0304875i
$19$	0.759707	−	2.83527i	0.174289	−	0.650455i	−0.822383	−	0.568934i	$-0.807356\pi$
$19$	0.759707	−	2.83527i	0.174289	−	0.650455i	0.996672	−	0.0815202i	$-0.0259775\pi$
$20$	7.52284	+	2.01574i	1.68216	+	0.450733i
$21$	−0.897136	+	2.48901i	−0.195771	+	0.543145i
$22$	−0.240133	−	0.415922i	−0.0511965	−	0.0886749i
$23$	7.27090	+	4.19786i	1.51609	+	0.875314i	0.999822	+	0.0188857i	$0.00601188\pi$
$23$	7.27090	+	4.19786i	1.51609	+	0.875314i	0.516266	+	0.856428i	$0.327321\pi$
$24$	−0.187794	−	0.700855i	−0.0383332	−	0.143062i
$25$			10.6845i			2.13690i
$26$	−0.524348	+	0.400074i	−0.102833	+	0.0784609i
$27$		−	1.00000i		−	0.192450i
$28$	−3.35683	−	3.97525i	−0.634381	−	0.751252i
$29$	1.66138	−	2.87760i	0.308511	−	0.534356i	−0.669526	−	0.742789i	$-0.733503\pi$
$29$	1.66138	−	2.87760i	0.308511	−	0.534356i	0.978037	+	0.208432i	$0.0668361\pi$
$30$	0.627392	−	0.362225i	0.114546	−	0.0661330i
$31$	−6.75045	−	6.75045i	−1.21242	−	1.21242i	−0.970229	−	0.242188i	$-0.922135\pi$
$31$	−6.75045	−	6.75045i	−1.21242	−	1.21242i	−0.242188	−	0.970229i	$-0.577865\pi$
$32$	2.07320	+	0.555513i	0.366494	+	0.0982017i
$33$	2.53602	+	0.679524i	0.441464	+	0.118290i
$34$	0.370463	−	0.370463i	0.0635339	−	0.0635339i
$35$	5.98320	−	8.60192i	1.01135	−	1.45399i
$36$	1.70307	+	0.983269i	0.283845	+	0.163878i
$37$	−6.77592	+	1.81560i	−1.11395	+	0.298483i	−0.768434	−	0.639929i	$-0.778964\pi$
$37$	−6.77592	+	1.81560i	−1.11395	+	0.298483i	−0.345519	+	0.938412i	$0.612297\pi$
$38$	0.536937			0.0871026
$39$	0.480389	−	3.57341i	0.0769239	−	0.572203i
$40$			2.87356i			0.454350i
$41$	−2.79099	+	0.747843i	−0.435879	+	0.116793i	−0.470085	−	0.882621i	$-0.655777\pi$
$41$	−2.79099	+	0.747843i	−0.435879	+	0.116793i	0.0342056	+	0.999415i	$0.489110\pi$
$42$	−0.482262	−	0.0406761i	−0.0744146	−	0.00627646i
$43$	−2.43132	+	1.40372i	−0.370773	+	0.214066i	−0.673796	−	0.738917i	$-0.735337\pi$
$43$	−2.43132	+	1.40372i	−0.370773	+	0.214066i	0.303023	+	0.952983i	$0.402004\pi$
$44$	−3.65087	+	3.65087i	−0.550389	+	0.550389i
$45$	−1.02502	+	3.82542i	−0.152801	+	0.570260i
$46$	−0.397491	+	1.48346i	−0.0586068	+	0.218724i
$47$	−4.85765	+	4.85765i	−0.708561	+	0.708561i	−0.966232	−	0.257672i	$-0.917045\pi$
$47$	−4.85765	+	4.85765i	−0.708561	+	0.708561i	0.257672	+	0.966232i	$0.417045\pi$
$48$	−3.29120	+	1.90018i	−0.475044	+	0.274267i
$49$	−6.56278	+	2.43516i	−0.937539	+	0.347879i
$50$	−1.88787	+	0.505853i	−0.266985	+	0.0715384i
$51$			2.86409i			0.401053i
$52$	5.61342	+	4.33176i	0.778441	+	0.600707i
$53$	−5.43259			−0.746224			−0.373112	−	0.927786i	$-0.621709\pi$
$53$	−5.43259			−0.746224			−0.373112	+	0.927786i	$0.621709\pi$
$54$	0.176692	−	0.0473445i	0.0240447	−	0.00644277i
$55$	−9.00481	−	5.19893i	−1.21421	−	0.701024i
$56$	1.09618	−	1.57596i	0.146483	−	0.210596i
$57$	−2.07556	+	2.07556i	−0.274914	+	0.274914i
$58$	0.587105	+	0.157314i	0.0770907	+	0.0206564i
$59$	−0.00666592	−	0.00178613i	−0.000867829	−	0.000232534i	0.258385	−	0.966042i	$-0.416810\pi$
$59$	−0.00666592	−	0.00178613i	−0.000867829	−	0.000232534i	−0.259253	+	0.965809i	$0.583476\pi$
$60$	−5.50710	−	5.50710i	−0.710964	−	0.710964i
$61$	5.65469	−	3.26474i	0.724009	−	0.418007i	−0.0922177	−	0.995739i	$-0.529396\pi$
$61$	5.65469	−	3.26474i	0.724009	−	0.418007i	0.816226	+	0.577732i	$0.196062\pi$
$62$	0.873154	−	1.51235i	0.110891	−	0.192068i
$63$	2.02145	−	1.70697i	0.254678	−	0.215058i
$64$		−	7.20808i		−	0.901010i
$65$	−5.50050	+	13.1774i	−0.682253	+	1.63445i
$66$			0.480266i			0.0591166i
$67$	2.10207	+	7.84504i	0.256809	+	0.958424i	0.967075	+	0.254491i	$0.0819079\pi$
$67$	2.10207	+	7.84504i	0.256809	+	0.958424i	−0.710266	+	0.703933i	$0.751425\pi$
$68$	−4.87775	−	2.81617i	−0.591514	−	0.341511i
$69$	−4.19786	−	7.27090i	−0.505363	−	0.875314i
$70$	1.80316	+	0.649930i	0.215519	+	0.0776815i
$71$	−14.5933	−	3.91026i	−1.73191	−	0.464063i	−0.751286	−	0.659977i	$-0.770566\pi$
$71$	−14.5933	−	3.91026i	−1.73191	−	0.464063i	−0.980621	+	0.195914i	$0.937233\pi$
$72$	−0.187794	+	0.700855i	−0.0221317	+	0.0825966i
$73$	0.321617	−	0.321617i	0.0376425	−	0.0376425i	−0.688035	−	0.725677i	$-0.741526\pi$
$73$	0.321617	−	0.321617i	0.0376425	−	0.0376425i	0.725677	+	0.688035i	$0.241526\pi$
$74$	−0.641604	−	1.11129i	−0.0745850	−	0.129185i
$75$	5.34226	−	9.25307i	0.616871	−	1.06845i
$76$	−1.49399	−	5.57566i	−0.171373	−	0.639572i
$77$	2.95530	+	6.28635i	0.336787	+	0.716396i
$78$	0.654136	−	0.0843000i	0.0740663	−	0.00954510i
$79$	0.280448			0.0315529			0.0157764	−	0.999876i	$-0.494978\pi$
$79$	0.280448			0.0315529			0.0157764	+	0.999876i	$0.494978\pi$
$80$	14.5379	−	3.89543i	1.62539	−	0.435522i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−0.264276	−	0.457739i	−0.0291844	−	0.0505488i
$83$	−2.42973	−	2.42973i	−0.266698	−	0.266698i	0.561070	−	0.827768i	$-0.310390\pi$
$83$	−2.42973	−	2.42973i	−0.266698	−	0.266698i	−0.827768	+	0.561070i	$0.810390\pi$
$84$	0.919475	+	5.12108i	0.100323	+	0.558756i
$85$	2.93575	−	10.9564i	0.318426	−	1.18838i
$86$	−0.363136	−	0.363136i	−0.0391580	−	0.0391580i
$87$	−2.87760	+	1.66138i	−0.308511	+	0.178119i
$88$	−1.64977	−	0.952496i	−0.175866	−	0.101536i
$89$	0.0536096	+	0.200074i	0.00568261	+	0.0212078i	0.968709	−	0.248200i	$-0.0798389\pi$
$89$	0.0536096	+	0.200074i	0.00568261	+	0.0212078i	−0.963026	+	0.269407i	$0.913172\pi$
$90$	−0.724450			−0.0763638
$91$	8.04346	−	5.12863i	0.843183	−	0.537626i
$92$	16.5105			1.72134
$93$	2.47084	+	9.22129i	0.256214	+	0.956203i
$94$	−1.08829	−	0.628324i	−0.112249	−	0.0648067i
$95$	10.0674	−	5.81240i	1.03289	−	0.596340i
$96$	−1.51769	−	1.51769i	−0.154899	−	0.154899i
$97$	0.197356	−	0.736543i	0.0200385	−	0.0747847i	−0.955183	−	0.296017i	$-0.904341\pi$
$97$	0.197356	−	0.736543i	0.0200385	−	0.0747847i	0.975221	+	0.221233i	$0.0710080\pi$
$98$	−0.740984	−	1.04430i	−0.0748506	−	0.105490i
$99$	−1.85649	−	1.85649i	−0.186585	−	0.186585i
$100$	10.5058	+	18.1965i	1.05058	+	1.81965i
$101$	0.682084	−	1.18140i	0.0678699	−	0.117554i	−0.830094	−	0.557624i	$-0.811713\pi$
$101$	0.682084	−	1.18140i	0.0678699	−	0.117554i	0.897963	+	0.440070i	$0.145046\pi$
$102$	−0.506062	+	0.135599i	−0.0501076	+	0.0134263i
$103$	−4.43543			−0.437036			−0.218518	−	0.975833i	$-0.570122\pi$
$103$	−4.43543			−0.437036			−0.218518	+	0.975833i	$0.570122\pi$
$104$	−1.00775	+	2.41423i	−0.0988177	+	0.236734i
$105$	−9.48256	+	4.45788i	−0.925403	+	0.435044i
$106$	−0.257203	−	0.959895i	−0.0249818	−	0.0932333i
$107$	−1.81150	+	3.13761i	−0.175124	+	0.303324i	−0.940204	−	0.340611i	$-0.889366\pi$
$107$	−1.81150	+	3.13761i	−0.175124	+	0.303324i	0.765080	+	0.643935i	$0.222699\pi$
$108$	−0.983269	−	1.70307i	−0.0946151	−	0.163878i
$109$	11.1249	−	11.1249i	1.06557	−	1.06557i	0.0678792	−	0.997694i	$-0.478377\pi$
$109$	11.1249	−	11.1249i	1.06557	−	1.06557i	0.997694	−	0.0678792i	$-0.0216232\pi$
$110$	0.492281	−	1.83722i	0.0469372	−	0.175172i
$111$	6.77592	+	1.81560i	0.643142	+	0.172329i
$112$	−9.45909	−	3.40943i	−0.893800	−	0.322161i
$113$	−2.74763	−	4.75903i	−0.258475	−	0.447692i	0.707358	−	0.706855i	$-0.249887\pi$
$113$	−2.74763	−	4.75903i	−0.258475	−	0.447692i	−0.965834	+	0.259163i	$0.916553\pi$
$114$	−0.465001	−	0.268468i	−0.0435513	−	0.0251444i
$115$	8.60577	+	32.1172i	0.802492	+	2.99494i
$116$		−	6.53434i		−	0.606698i
$117$	−2.20273	+	2.85447i	−0.203643	+	0.263895i
$118$		−	0.00126238i		−	0.000116211i
$119$	−5.78960	+	4.88893i	−0.530732	+	0.448167i
$120$	1.43678	−	2.48858i	0.131159	−	0.227175i
$121$	−3.55665	+	2.05343i	−0.323331	+	0.186675i
$122$	0.844571	+	0.844571i	0.0764638	+	0.0764638i
$123$	2.79099	+	0.747843i	0.251655	+	0.0674307i
$124$	−18.1340	−	4.85900i	−1.62848	−	0.436351i
$125$	−15.9190	+	15.9190i	−1.42383	+	1.42383i
$126$	0.397313	+	0.276357i	0.0353954	+	0.0246199i
$127$	8.80555	+	5.08389i	0.781367	+	0.451122i	0.836914	−	0.547334i	$-0.184357\pi$
$127$	8.80555	+	5.08389i	0.781367	+	0.451122i	−0.0555478	+	0.998456i	$0.517691\pi$
$128$	5.42001	−	1.45229i	0.479066	−	0.128365i
$129$	2.80745			0.247182
$130$	−2.58875	−	0.348018i	−0.227049	−	0.0305232i
$131$			19.5230i			1.70573i	0.522129	+	0.852867i	$0.325138\pi$
$131$			19.5230i			1.70573i	−0.522129	+	0.852867i	$0.674862\pi$
$132$	4.98718	−	1.33631i	0.434078	−	0.116311i
$133$	−7.73855	−	0.652704i	−0.671018	−	0.0565966i
$134$	−1.28663	+	0.742838i	−0.111148	+	0.0641715i
$135$	2.80040	−	2.80040i	0.241020	−	0.241020i
$136$	0.537858	−	2.00731i	0.0461209	−	0.172126i
$137$	−3.09421	+	11.5477i	−0.264356	+	0.986590i	0.698287	+	0.715818i	$0.253946\pi$
$137$	−3.09421	+	11.5477i	−0.264356	+	0.986590i	−0.962643	+	0.270773i	$0.912721\pi$
$138$	1.08596	−	1.08596i	0.0924435	−	0.0924435i
$139$	14.4291	−	8.33062i	1.22386	−	0.706594i	0.258119	−	0.966113i	$-0.416897\pi$
$139$	14.4291	−	8.33062i	1.22386	−	0.706594i	0.965738	+	0.259519i	$0.0835640\pi$
$140$	1.73183	−	20.5328i	0.146366	−	1.73534i
$141$	6.63567	−	1.77802i	0.558824	−	0.149736i
$142$		−	2.76365i		−	0.231920i
$143$	−5.74217	−	7.52585i	−0.480184	−	0.629343i
$144$	3.80035			0.316696
$145$	12.7110	−	3.40589i	1.05559	−	0.282844i
$146$	0.0720540	+	0.0416004i	0.00596323	+	0.00344287i
$147$	6.90111	+	1.17248i	0.569194	+	0.0967046i
$148$	−9.75465	+	9.75465i	−0.801827	+	0.801827i
$149$	14.7603	+	3.95502i	1.20921	+	0.324008i	0.806454	−	0.591297i	$-0.201384\pi$
$149$	14.7603	+	3.95502i	1.20921	+	0.324008i	0.402761	+	0.915305i	$0.368051\pi$
$150$	1.88787	+	0.505853i	0.154144	+	0.0413027i
$151$	−7.50367	−	7.50367i	−0.610640	−	0.610640i	0.332473	−	0.943113i	$-0.392117\pi$
$151$	−7.50367	−	7.50367i	−0.610640	−	0.610640i	−0.943113	+	0.332473i	$0.892117\pi$
$152$	1.84444	−	1.06489i	0.149604	−	0.0863740i
$153$	1.43204	−	2.48037i	0.115774	−	0.200526i
$154$	−0.970831	+	0.819801i	−0.0782318	+	0.0660614i
$155$		−	37.8080i		−	3.03681i
$156$	−2.69548	−	6.55812i	−0.215811	−	0.525070i
$157$		−	13.4871i		−	1.07639i	−0.842820	−	0.538195i	$-0.819106\pi$
$157$		−	13.4871i		−	1.07639i	0.842820	−	0.538195i	$-0.180894\pi$
$158$	0.0132777	+	0.0495530i	0.00105632	+	0.00394222i
$159$	4.70476	+	2.71630i	0.373112	+	0.215416i
$160$	4.25014	+	7.36146i	0.336003	+	0.581975i
$161$	7.53210	−	20.8970i	0.593612	−	1.64691i
$162$	−0.176692	−	0.0473445i	−0.0138822	−	0.00371973i
$163$	−1.07320	+	4.00525i	−0.0840598	+	0.313716i	−0.995134	−	0.0985258i	$-0.968587\pi$
$163$	−1.07320	+	4.00525i	−0.0840598	+	0.313716i	0.911075	+	0.412241i	$0.135254\pi$
$164$	−4.01792	+	4.01792i	−0.313747	+	0.313747i
$165$	5.19893	+	9.00481i	0.404736	+	0.701024i
$166$	0.314280	−	0.544349i	0.0243928	−	0.0422496i
$167$	3.62497	+	13.5286i	0.280508	+	1.04687i	0.952059	+	0.305913i	$0.0989618\pi$
$167$	3.62497	+	13.5286i	0.280508	+	1.04687i	−0.671551	+	0.740958i	$0.734372\pi$
$168$	−1.73730	+	0.816727i	−0.134036	+	0.0630119i
$169$	−9.24251	+	9.14199i	−0.710962	+	0.703230i
$170$	2.07489			0.159137
$171$	2.83527	−	0.759707i	0.216818	−	0.0580963i
$172$	−2.76048	+	4.78129i	−0.210484	+	0.364570i
$173$	−7.63123	−	13.2177i	−0.580192	−	1.00492i	−0.995456	−	0.0952206i	$-0.969644\pi$
$173$	−7.63123	−	13.2177i	−0.580192	−	1.00492i	0.415265	−	0.909701i	$-0.363689\pi$
$174$	−0.429791	−	0.429791i	−0.0325824	−	0.0325824i
$175$	27.8237	−	4.99566i	2.10327	−	0.377636i
$176$	−2.58243	+	9.63776i	−0.194658	+	0.726473i
$177$	0.00487979	+	0.00487979i	0.000366788	+	0.000366788i
$178$	−0.0328133	+	0.0189448i	−0.00245946	+	0.00141997i
$179$	6.94881	+	4.01190i	0.519379	+	0.299863i	0.736680	−	0.676241i	$-0.236392\pi$
$179$	6.94881	+	4.01190i	0.519379	+	0.299863i	−0.217302	+	0.976104i	$0.569726\pi$
$180$	2.01574	+	7.52284i	0.150244	+	0.560719i
$181$	9.08130			0.675008			0.337504	−	0.941324i	$-0.390417\pi$
$181$	9.08130			0.675008			0.337504	+	0.941324i	$0.390417\pi$
$182$	1.28700	+	1.17840i	0.0953988	+	0.0873489i
$183$	−6.52947			−0.482672
$184$	1.57666	+	5.88418i	0.116233	+	0.433788i
$185$	−24.0597	−	13.8909i	−1.76891	−	1.02128i
$186$	−1.51235	+	0.873154i	−0.110891	+	0.0640228i
$187$	5.31717	+	5.31717i	0.388830	+	0.388830i
$188$	−3.49655	+	13.0493i	−0.255012	+	0.951718i
$189$	−2.60411	+	0.467560i	−0.189421	+	0.0340100i
$190$	1.50364	+	1.50364i	0.109085	+	0.109085i
$191$	−10.2571	−	17.7658i	−0.742179	−	1.28549i	−0.951501	−	0.307645i	$-0.900459\pi$
$191$	−10.2571	−	17.7658i	−0.742179	−	1.28549i	0.209323	−	0.977847i	$-0.432874\pi$
$192$	−3.60404	+	6.24238i	−0.260099	+	0.450505i
$193$	14.0081	−	3.75346i	1.00832	−	0.270180i	0.283396	−	0.959003i	$-0.408539\pi$
$193$	14.0081	−	3.75346i	1.00832	−	0.270180i	0.724929	+	0.688823i	$0.241872\pi$
$194$	0.139485			0.0100144
$195$	11.3523	−	8.66169i	0.812952	−	0.620277i
$196$	−8.78247	+	10.6002i	−0.627319	+	0.757159i
$197$	4.65346	+	17.3669i	0.331545	+	1.23734i	0.907567	+	0.419908i	$0.137938\pi$
$197$	4.65346	+	17.3669i	0.331545	+	1.23734i	−0.576022	+	0.817434i	$0.695396\pi$
$198$	0.240133	−	0.415922i	0.0170655	−	0.0295583i
$199$	1.63893	+	2.83871i	0.116181	+	0.201231i	0.918251	−	0.395999i	$-0.129601\pi$
$199$	1.63893	+	2.83871i	0.116181	+	0.201231i	−0.802070	+	0.597230i	$0.796268\pi$
$200$	−5.48182	+	5.48182i	−0.387623	+	0.387623i
$201$	2.10207	−	7.84504i	0.148269	−	0.553346i
$202$	0.241037	+	0.0645858i	0.0169593	+	0.00454424i
$203$	−8.27037	−	2.98097i	−0.580466	−	0.209223i
$204$	2.81617	+	4.87775i	0.197171	+	0.341511i
$205$	−9.91015	−	5.72163i	−0.692155	−	0.399616i
$206$	−0.209993	−	0.783706i	−0.0146309	−	0.0546034i
$207$			8.39572i			0.583543i
$208$	13.5802	+	1.82565i	0.941617	+	0.126586i
$209$			7.70652i			0.533071i
$210$	−1.23662	−	1.46444i	−0.0853347	−	0.101056i
$211$	12.5254	−	21.6946i	0.862283	−	1.49352i	−0.00743594	−	0.999972i	$-0.502367\pi$
$211$	12.5254	−	21.6946i	0.862283	−	1.49352i	0.869719	−	0.493546i	$-0.164300\pi$
$212$	−9.25209	+	5.34170i	−0.635436	+	0.366869i
$213$	10.6830	+	10.6830i	0.731990	+	0.731990i
$214$	−0.640155	−	0.171529i	−0.0437601	−	0.0117255i
$215$	−10.7397	−	2.87769i	−0.732440	−	0.196257i
$216$	0.513062	−	0.513062i	0.0349094	−	0.0349094i
$217$	−14.4227	+	20.7352i	−0.979075	+	1.40759i
$218$	2.49238	+	1.43898i	0.168806	+	0.0974599i
$219$	−0.439338	+	0.117720i	−0.0296877	+	0.00795479i
$220$	−20.4478			−1.37859
$221$	6.30882	−	8.17544i	0.424377	−	0.549940i
$222$			1.28321i			0.0861233i
$223$	9.63125	−	2.58069i	0.644956	−	0.172816i	0.0785089	−	0.996913i	$-0.474984\pi$
$223$	9.63125	−	2.58069i	0.644956	−	0.172816i	0.566447	+	0.824098i	$0.308317\pi$
$224$	0.477270	−	5.65858i	0.0318889	−	0.378080i
$225$	−9.25307	+	5.34226i	−0.616871	+	0.356151i
$226$	0.710798	−	0.710798i	0.0472816	−	0.0472816i
$227$	4.05289	−	15.1256i	0.269000	−	1.00392i	−0.690757	−	0.723087i	$-0.742722\pi$
$227$	4.05289	−	15.1256i	0.269000	−	1.00392i	0.959757	−	0.280833i	$-0.0906108\pi$
$228$	−1.49399	+	5.57566i	−0.0989421	+	0.369257i
$229$	−1.59130	+	1.59130i	−0.105156	+	0.105156i	−0.757727	−	0.652571i	$-0.773690\pi$
$229$	−1.59130	+	1.59130i	−0.105156	+	0.105156i	0.652571	+	0.757727i	$0.273690\pi$
$230$	−5.26741	+	3.04114i	−0.347323	+	0.200527i
$231$	0.583814	−	6.92179i	0.0384122	−	0.455420i
$232$	2.32878	−	0.623994i	0.152892	−	0.0409672i
$233$		−	8.49682i		−	0.556645i	−0.960488	−	0.278323i	$-0.910222\pi$
$233$		−	8.49682i		−	0.556645i	0.960488	−	0.278323i	$-0.0897784\pi$
$234$	−0.608648	−	0.254062i	−0.0397886	−	0.0166085i
$235$	−27.2067			−1.77477
$236$	−0.0131088	+	0.00351249i	−0.000853310	+	0.000228644i
$237$	−0.242875	−	0.140224i	−0.0157764	−	0.00910854i
$238$	−1.13794	−	0.791512i	−0.0737617	−	0.0513061i
$239$	−6.87958	+	6.87958i	−0.445003	+	0.445003i	−0.893689	−	0.448686i	$-0.851892\pi$
$239$	−6.87958	+	6.87958i	−0.445003	+	0.445003i	0.448686	+	0.893689i	$0.351892\pi$
$240$	−14.5379	−	3.89543i	−0.938420	−	0.251449i
$241$	19.8128	+	5.30883i	1.27626	+	0.341972i	0.832424	−	0.554139i	$-0.186952\pi$
$241$	19.8128	+	5.30883i	1.27626	+	0.341972i	0.443831	+	0.896110i	$0.353619\pi$
$242$	−0.531212	−	0.531212i	−0.0341476	−	0.0341476i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	6.42023	−	11.1202i	0.411013	−	0.711895i
$245$	−25.1978	−	11.5590i	−1.60983	−	0.738477i
$246$			0.528551i			0.0336992i
$247$	10.4965	−	1.35271i	0.667877	−	0.0860709i
$248$		−	6.92680i		−	0.439852i
$249$	0.889344	+	3.31908i	0.0563599	+	0.210338i
$250$	−3.56642	−	2.05908i	−0.225561	−	0.130227i
$251$	4.35546	+	7.54388i	0.274914	+	0.476165i	0.970113	−	0.242652i	$-0.0780172\pi$
$251$	4.35546	+	7.54388i	0.274914	+	0.476165i	−0.695199	+	0.718817i	$0.744684\pi$
$252$	1.76425	−	4.89472i	0.111137	−	0.308339i
$253$	−21.2917	−	5.70509i	−1.33860	−	0.358676i
$254$	−0.481388	+	1.79656i	−0.0302050	+	0.112726i
$255$	−8.02061	+	8.02061i	−0.502270	+	0.502270i
$256$	−6.69487	−	11.5958i	−0.418429	−	0.724741i
$257$	6.96099	−	12.0568i	0.434215	−	0.752082i	−0.563016	−	0.826446i	$-0.690359\pi$
$257$	6.96099	−	12.0568i	0.434215	−	0.752082i	0.997231	+	0.0743637i	$0.0236926\pi$
$258$	0.132917	+	0.496054i	0.00827506	+	0.0308829i
$259$	7.89617	+	16.7963i	0.490644	+	1.04367i
$260$	3.58916	+	27.8505i	0.222590	+	1.72721i
$261$	3.32276			0.205674
$262$	−3.44956	+	0.924307i	−0.213114	+	0.0571039i
$263$	−5.34924	+	9.26516i	−0.329848	+	0.571314i	−0.982482	−	0.186360i	$-0.940331\pi$
$263$	−5.34924	+	9.26516i	−0.329848	+	0.571314i	0.652633	+	0.757674i	$0.273664\pi$
$264$	0.952496	+	1.64977i	0.0586221	+	0.101536i
$265$	−15.2134	−	15.2134i	−0.934555	−	0.934555i
$266$	−0.251050	−	1.39824i	−0.0153929	−	0.0857317i
$267$	0.0536096	−	0.200074i	0.00328086	−	0.0122443i
$268$	11.2938	+	11.2938i	0.689877	+	0.689877i
$269$	7.98188	−	4.60834i	0.486664	−	0.280976i	−0.236526	−	0.971625i	$-0.576009\pi$
$269$	7.98188	−	4.60834i	0.486664	−	0.280976i	0.723189	+	0.690650i	$0.242675\pi$
$270$	0.627392	+	0.362225i	0.0381819	+	0.0220443i
$271$	−0.262832	−	0.980903i	−0.0159659	−	0.0595856i	0.957483	−	0.288489i	$-0.0931528\pi$
$271$	−0.262832	−	0.980903i	−0.0159659	−	0.0595856i	−0.973449	+	0.228903i	$0.926486\pi$
$272$	−10.8845			−0.659972
$273$	−9.53015	+	0.419795i	−0.576791	+	0.0254071i
$274$	−2.18689			−0.132115
$275$	−7.26039	−	27.0961i	−0.437818	−	1.63396i
$276$	−14.2985	−	8.25525i	−0.860669	−	0.496908i
$277$	0.795438	−	0.459247i	0.0477933	−	0.0275935i	−0.475913	−	0.879492i	$-0.657882\pi$
$277$	0.795438	−	0.459247i	0.0477933	−	0.0275935i	0.523706	+	0.851899i	$0.324549\pi$
$278$	2.15509	+	2.15509i	0.129254	+	0.129254i
$279$	2.47084	−	9.22129i	0.147925	−	0.552064i
$280$	7.48307	−	1.34356i	0.447199	−	0.0802932i
$281$	3.41893	+	3.41893i	0.203956	+	0.203956i	0.801693	−	0.597737i	$-0.203933\pi$
$281$	3.41893	+	3.41893i	0.203956	+	0.203956i	−0.597737	+	0.801693i	$0.703933\pi$
$282$	0.628324	+	1.08829i	0.0374162	+	0.0648067i
$283$	7.94500	−	13.7611i	0.472281	−	0.818015i	−0.527216	−	0.849731i	$-0.676764\pi$
$283$	7.94500	−	13.7611i	0.472281	−	0.818015i	0.999497	+	0.0317167i	$0.0100974\pi$
$284$	−28.6983	+	7.68968i	−1.70293	+	0.456299i
$285$	−11.6248			−0.688594
$286$	1.05790	−	1.37090i	0.0625547	−	0.0810631i
$287$	3.25242	+	6.91838i	0.191984	+	0.408379i
$288$	0.555513	+	2.07320i	0.0327339	+	0.122165i
$289$	4.39849	−	7.61842i	0.258735	−	0.448142i
$290$	1.20359	+	2.08468i	0.0706771	+	0.122416i
$291$	−0.539187	+	0.539187i	−0.0316077	+	0.0316077i
$292$	0.231501	−	0.863974i	0.0135476	−	0.0505603i
$293$	−14.2807	−	3.82651i	−0.834288	−	0.223547i	−0.183705	−	0.982981i	$-0.558809\pi$
$293$	−14.2807	−	3.82651i	−0.834288	−	0.223547i	−0.650584	+	0.759435i	$0.725476\pi$
$294$	0.119561	+	1.27488i	0.00697296	+	0.0743526i
$295$	−0.0136654	−	0.0236692i	−0.000795630	−	0.00137807i
$296$	−4.40798	−	2.54495i	−0.256209	−	0.147922i
$297$	0.679524	+	2.53602i	0.0394300	+	0.147155i
$298$			2.79528i			0.161926i
$299$	−4.03321	+	30.0013i	−0.233247	+	1.73502i
$300$		−	21.0115i		−	1.21310i
$301$	4.79224	+	5.67510i	0.276220	+	0.327107i
$302$	0.970581	−	1.68110i	0.0558506	−	0.0967362i
$303$	−1.18140	+	0.682084i	−0.0678699	+	0.0391847i
$304$	−7.88785	−	7.88785i	−0.452399	−	0.452399i
$305$	24.9780	+	6.69283i	1.43024	+	0.383230i
$306$	0.506062	+	0.135599i	0.0289296	+	0.00775167i
$307$	−11.9699	+	11.9699i	−0.683157	+	0.683157i	−0.960710	−	0.277553i	$-0.910477\pi$
$307$	−11.9699	+	11.9699i	−0.683157	+	0.683157i	0.277553	+	0.960710i	$0.410477\pi$
$308$	11.2143	+	7.80026i	0.638992	+	0.444461i
$309$	3.84120	+	2.21772i	0.218518	+	0.126162i
$310$	6.68037	−	1.79000i	0.379419	−	0.101665i
$311$	22.3022			1.26464			0.632322	−	0.774706i	$-0.282102\pi$
$311$	22.3022			1.26464			0.632322	+	0.774706i	$0.282102\pi$
$312$	2.07985	−	1.58691i	0.117748	−	0.0898410i
$313$			21.7630i			1.23012i	0.788481	+	0.615059i	$0.210868\pi$
$313$			21.7630i			1.23012i	−0.788481	+	0.615059i	$0.789132\pi$
$314$	2.38307	−	0.638541i	0.134484	−	0.0360349i
$315$	10.4411	+	0.880647i	0.588288	+	0.0496188i
$316$	0.477624	−	0.275756i	0.0268684	−	0.0155125i
$317$	3.88719	−	3.88719i	0.218327	−	0.218327i	−0.589466	−	0.807793i	$-0.700662\pi$
$317$	3.88719	−	3.88719i	0.218327	−	0.218327i	0.807793	+	0.589466i	$0.200662\pi$
$318$	−0.257203	+	0.959895i	−0.0144232	+	0.0538282i
$319$	−2.25790	+	8.42659i	−0.126418	+	0.471798i
$320$	20.1855	−	20.1855i	1.12841	−	1.12841i
$321$	3.13761	−	1.81150i	0.175124	−	0.101108i
$322$	4.04893	+	0.341505i	0.225638	+	0.0190313i
$323$	−8.12046	+	2.17587i	−0.451834	+	0.121069i
$324$			1.96654i			0.109252i
$325$	−35.6313	+	14.6450i	−1.97647	+	0.812358i
$326$	−0.758506			−0.0420098
$327$	−15.1969	+	4.07200i	−0.840391	+	0.225182i
$328$	−1.81564	−	1.04826i	−0.100252	−	0.0578804i
$329$	14.9211	+	10.3786i	0.822626	+	0.572191i
$330$	−1.34494	+	1.34494i	−0.0740364	+	0.0740364i
$331$	−17.6440	−	4.72770i	−0.969802	−	0.259858i	−0.261058	−	0.965323i	$-0.584071\pi$
$331$	−17.6440	−	4.72770i	−0.969802	−	0.259858i	−0.708744	+	0.705466i	$0.750738\pi$
$332$	−6.52709	−	1.74893i	−0.358221	−	0.0959849i
$333$	−4.96032	−	4.96032i	−0.271824	−	0.271824i
$334$	−2.21877	+	1.28101i	−0.121406	+	0.0700935i
$335$	−16.0826	+	27.8559i	−0.878688	+	1.52193i
$336$	6.48710	+	7.68220i	0.353900	+	0.419098i
$337$			12.4905i			0.680402i	0.940353	+	0.340201i	$0.110495\pi$
$337$			12.4905i			0.680402i	−0.940353	+	0.340201i	$0.889505\pi$
$338$	−2.05290	−	1.20025i	−0.111663	−	0.0652852i
$339$			5.49526i			0.298462i
$340$	−5.77326	−	21.5461i	−0.313099	−	1.16850i
$341$	21.7064	+	12.5322i	1.17547	+	0.678655i
$342$	0.268468	+	0.465001i	0.0145171	+	0.0251444i
$343$	9.40990	+	15.9516i	0.508087	+	0.861306i
$344$	−1.96762	−	0.527221i	−0.106087	−	0.0284258i
$345$	8.60577	−	32.1172i	0.463319	−	1.72913i
$346$	1.97416	−	1.97416i	0.106132	−	0.106132i
$347$	−2.70509	−	4.68534i	−0.145217	−	0.251522i	0.784237	−	0.620461i	$-0.213055\pi$
$347$	−2.70509	−	4.68534i	−0.145217	−	0.251522i	−0.929454	+	0.368939i	$0.879721\pi$
$348$	−3.26717	+	5.65891i	−0.175139	+	0.303349i
$349$	−1.60376	−	5.98531i	−0.0858472	−	0.320386i	0.909626	−	0.415428i	$-0.136368\pi$
$349$	−1.60376	−	5.98531i	−0.0858472	−	0.320386i	−0.995473	+	0.0950418i	$0.969702\pi$
$350$	2.19999	+	4.67970i	0.117594	+	0.250141i
$351$	3.33485	−	1.37067i	0.178001	−	0.0731611i
$352$	−5.63516			−0.300355
$353$	34.1022	−	9.13766i	1.81508	−	0.486348i	0.818918	−	0.573911i	$-0.194575\pi$
$353$	34.1022	−	9.13766i	1.81508	−	0.486348i	0.996159	+	0.0875628i	$0.0279078\pi$
$354$	−0.000631189		0.00109325i	−3.35473e−5		5.81057e-5i
$355$	−29.9168	−	51.8175i	−1.58782	−	2.75019i
$356$	0.288028	+	0.288028i	0.0152654	+	0.0152654i
$357$	7.45840	−	1.33913i	0.394741	−	0.0708745i
$358$	−0.379882	+	1.41774i	−0.0200774	+	0.0749299i
$359$	7.81387	+	7.81387i	0.412400	+	0.412400i	0.882574	−	0.470174i	$-0.155809\pi$
$359$	7.81387	+	7.81387i	0.412400	+	0.412400i	−0.470174	+	0.882574i	$0.655809\pi$
$360$	−2.48858	+	1.43678i	−0.131159	+	0.0757250i
$361$	8.99290	+	5.19206i	0.473311	+	0.273266i
$362$	0.429949	+	1.60459i	0.0225976	+	0.0843355i
$363$	4.10686			0.215554
$364$	8.65576	−	16.6433i	0.453685	−	0.872346i
$365$	1.80132			0.0942852
$366$	−0.309134	−	1.15371i	−0.0161587	−	0.0603051i
$367$	19.4308	+	11.2184i	1.01428	+	0.585593i	0.912441	−	0.409208i	$-0.134195\pi$
$367$	19.4308	+	11.2184i	1.01428	+	0.585593i	0.101836	+	0.994801i	$0.467528\pi$
$368$	27.6320	−	15.9533i	1.44042	−	0.831625i
$369$	−2.04314	−	2.04314i	−0.106362	−	0.106362i
$370$	1.31531	−	4.90882i	0.0683799	−	0.255197i
$371$	2.54006	+	14.1471i	0.131873	+	0.734479i
$372$	13.2750	+	13.2750i	0.688278	+	0.688278i
$373$	−3.45623	−	5.98637i	−0.178957	−	0.309962i	0.762567	−	0.646910i	$-0.223939\pi$
$373$	−3.45623	−	5.98637i	−0.178957	−	0.309962i	−0.941523	+	0.336947i	$0.890606\pi$
$374$	−0.687762	+	1.19124i	−0.0355633	+	0.0615975i
$375$	21.7457	−	5.82674i	1.12294	−	0.300892i
$376$	−4.98455			−0.257058
$377$	11.8736	+	1.59622i	0.611520	+	0.0822095i
$378$	−0.205904	−	0.437989i	−0.0105906	−	0.0225277i
$379$	2.16569	+	8.08246i	0.111244	+	0.415168i	0.998979	−	0.0451875i	$-0.0143885\pi$
$379$	2.16569	+	8.08246i	0.111244	+	0.415168i	−0.887735	+	0.460356i	$0.847722\pi$
$380$	11.4303	−	19.7979i	0.586363	−	1.01561i
$381$	−5.08389	−	8.80555i	−0.260456	−	0.451122i
$382$	2.65346	−	2.65346i	0.135763	−	0.135763i
$383$	−0.572661	+	2.13720i	−0.0292616	+	0.109206i	−0.979012	−	0.203802i	$-0.934670\pi$
$383$	−0.572661	+	2.13720i	−0.0292616	+	0.109206i	0.949750	+	0.313008i	$0.101337\pi$
$384$	−5.42001	−	1.45229i	−0.276589	−	0.0741118i
$385$	−9.32830	+	25.8803i	−0.475414	+	1.31898i
$386$	1.32641	+	2.29741i	0.0675126	+	0.116935i
$387$	−2.43132	−	1.40372i	−0.123591	−	0.0713553i
$388$	−0.388109	−	1.44844i	−0.0197032	−	0.0735334i
$389$			24.7852i			1.25666i	0.777946	+	0.628331i	$0.216262\pi$
$389$			24.7852i			1.25666i	−0.777946	+	0.628331i	$0.783738\pi$
$390$	2.06792	+	1.59577i	0.104713	+	0.0808050i
$391$		−	24.0461i		−	1.21606i
$392$	−4.61649	−	2.11772i	−0.233168	−	0.106961i
$393$	9.76151	−	16.9074i	0.492403	−	0.852867i
$394$	−2.84828	+	1.64446i	−0.143494	+	0.0828465i
$395$	0.785368	+	0.785368i	0.0395162	+	0.0395162i
$396$	−4.98718	−	1.33631i	−0.250615	−	0.0671521i
$397$	11.9456	+	3.20082i	0.599534	+	0.160645i	0.545807	−	0.837911i	$-0.316223\pi$
$397$	11.9456	+	3.20082i	0.599534	+	0.160645i	0.0537271	+	0.998556i	$0.482890\pi$
$398$	−0.423983	+	0.423983i	−0.0212524	+	0.0212524i
$399$	6.37543	+	4.43453i	0.319171	+	0.222004i
$400$	35.1649	+	20.3025i	1.75824	+	1.01512i
$401$	−27.4395	+	7.35239i	−1.37026	+	0.367161i	−0.867575	−	0.497307i	$-0.834322\pi$
$401$	−27.4395	+	7.35239i	−1.37026	+	0.367161i	−0.502688	+	0.864468i	$0.667656\pi$
$402$	1.48568			0.0740988
$403$	13.2591	−	31.7644i	0.660484	−	1.58230i
$404$		−	2.68269i		−	0.133469i
$405$	−3.82542	+	1.02502i	−0.190087	+	0.0509336i
$406$	0.135157	−	1.60244i	0.00670773	−	0.0795278i
$407$	15.9501	−	9.20880i	0.790617	−	0.456463i
$408$	−1.46946	+	1.46946i	−0.0727489	+	0.0727489i
$409$	−8.06083	+	30.0834i	−0.398583	+	1.48753i	0.417009	+	0.908902i	$0.363078\pi$
$409$	−8.06083	+	30.0834i	−0.398583	+	1.48753i	−0.815592	+	0.578628i	$0.803588\pi$
$410$	0.541775	−	2.02193i	0.0267564	−	0.0998561i
$411$	8.45353	−	8.45353i	0.416982	−	0.416982i
$412$	−7.55386	+	4.36123i	−0.372152	+	0.214862i
$413$	−0.00153456	+	0.0181939i	−7.55105e−5	+	0.000895264i
$414$	−1.48346	+	0.397491i	−0.0729079	+	0.0195356i
$415$		−	13.6085i		−	0.668013i
$416$	0.989128	+	7.67525i	0.0484960	+	0.376310i
$417$	−16.6612			−0.815905
$418$	−1.36168	+	0.364861i	−0.0666020	+	0.0178460i
$419$	−15.4180	−	8.90159i	−0.753219	−	0.434871i	0.0736368	−	0.997285i	$-0.476539\pi$
$419$	−15.4180	−	8.90159i	−0.753219	−	0.434871i	−0.826856	+	0.562414i	$0.809873\pi$
$420$	−11.7662	+	16.9160i	−0.574132	+	0.825416i
$421$	−7.27536	+	7.27536i	−0.354579	+	0.354579i	−0.861810	−	0.507231i	$-0.830669\pi$
$421$	−7.27536	+	7.27536i	−0.354579	+	0.354579i	0.507231	+	0.861810i	$0.330669\pi$
$422$	4.42627	+	1.18602i	0.215468	+	0.0577344i
$423$	−6.63567	−	1.77802i	−0.322637	−	0.0864504i
$424$	−2.78725	−	2.78725i	−0.135361	−	0.135361i
$425$	26.5016	−	15.3007i	1.28552	−	0.742194i
$426$	−1.38182	+	2.39339i	−0.0669496	+	0.115960i
$427$	−11.1456	−	13.1990i	−0.539375	−	0.638743i
$428$			7.12477i			0.344389i
$429$	1.20994	+	9.38866i	0.0584164	+	0.453289i
$430$		−	2.03386i		−	0.0980813i
$431$	−5.92484	−	22.1118i	−0.285389	−	1.06509i	−0.948554	−	0.316615i	$-0.897454\pi$
$431$	−5.92484	−	22.1118i	−0.285389	−	1.06509i	0.663165	−	0.748473i	$-0.269213\pi$
$432$	−3.29120	−	1.90018i	−0.158348	−	0.0914222i
$433$	3.70820	+	6.42278i	0.178205	+	0.308659i	0.941266	−	0.337667i	$-0.109638\pi$
$433$	3.70820	+	6.42278i	0.178205	+	0.308659i	−0.763061	+	0.646326i	$0.776304\pi$
$434$	−4.34657	−	1.56668i	−0.208642	−	0.0752029i
$435$	−12.7110	−	3.40589i	−0.609444	−	0.163300i
$436$	8.00774	−	29.8853i	0.383501	−	1.43125i
$437$	17.4258	−	17.4258i	0.833589	−	0.833589i
$438$	−0.0416004	−	0.0720540i	−0.00198774	−	0.00344287i
$439$	−18.4110	+	31.8888i	−0.878709	+	1.52197i	−0.0259510	+	0.999663i	$0.508261\pi$
$439$	−18.4110	+	31.8888i	−0.878709	+	1.52197i	−0.852758	+	0.522306i	$0.825072\pi$
$440$	−1.95265	−	7.28740i	−0.0930891	−	0.347413i
$441$	−5.39029	−	4.46595i	−0.256681	−	0.212664i
$442$	1.74322	+	0.727656i	0.0829167	+	0.0346111i
$443$	25.6906			1.22060			0.610298	−	0.792172i	$-0.291050\pi$
$443$	25.6906			1.22060			0.610298	+	0.792172i	$0.291050\pi$
$444$	13.3251	−	3.57045i	0.632381	−	0.169446i
$445$	−0.410159	+	0.710416i	−0.0194434	+	0.0336770i
$446$	0.911973	+	1.57958i	0.0431832	+	0.0747955i
$447$	−10.8053	−	10.8053i	−0.511074	−	0.511074i
$448$	−18.7706	+	3.37021i	−0.886829	+	0.159228i
$449$	−1.26128	+	4.70715i	−0.0595234	+	0.222144i	−0.989280	−	0.146030i	$-0.953350\pi$
$449$	−1.26128	+	4.70715i	−0.0595234	+	0.222144i	0.929757	+	0.368174i	$0.120017\pi$
$450$	−1.38202	−	1.38202i	−0.0651489	−	0.0651489i
$451$	6.56982	−	3.79308i	0.309361	−	0.178609i
$452$	−9.35882	−	5.40332i	−0.440202	−	0.254151i
$453$	2.74653	+	10.2502i	0.129043	+	0.481596i
$454$	2.86445			0.134435
$455$	36.8871	+	8.16269i	1.72930	+	0.382673i
$456$	−2.12978			−0.0997361
$457$	−1.32032	−	4.92751i	−0.0617621	−	0.230499i	0.928145	−	0.372220i	$-0.121403\pi$
$457$	−1.32032	−	4.92751i	−0.0617621	−	0.230499i	−0.989907	+	0.141721i	$0.954737\pi$
$458$	−0.356509	−	0.205830i	−0.0166586	−	0.00961783i
$459$	−2.48037	+	1.43204i	−0.115774	+	0.0668421i
$460$	46.2361	+	46.2361i	2.15577	+	2.15577i
$461$	−2.21189	+	8.25490i	−0.103018	+	0.384469i	−0.998113	−	0.0614071i	$-0.980441\pi$
$461$	−2.21189	+	8.25490i	−0.103018	+	0.384469i	0.895095	+	0.445876i	$0.147108\pi$
$462$	1.25066	−	0.224553i	0.0581862	−	0.0104472i
$463$	0.176712	+	0.176712i	0.00821253	+	0.00821253i	0.711201	−	0.702989i	$-0.248152\pi$
$463$	0.176712	+	0.176712i	0.00821253	+	0.00821253i	−0.702989	+	0.711201i	$0.748152\pi$
$464$	−6.31383	−	10.9359i	−0.293112	−	0.507685i
$465$	−18.9040	+	32.7427i	−0.876652	+	1.51841i
$466$	1.50132	−	0.402277i	0.0695473	−	0.0186351i
$467$	−23.3883			−1.08228			−0.541140	−	0.840932i	$-0.682007\pi$
$467$	−23.3883			−1.08228			−0.541140	+	0.840932i	$0.682007\pi$
$468$	−0.944704	+	7.02724i	−0.0436690	+	0.324834i
$469$	19.4465	−	9.14205i	0.897956	−	0.422141i
$470$	−1.28809	−	4.80721i	−0.0594151	−	0.221740i
$471$	−6.74356	+	11.6802i	−0.310727	+	0.538195i
$472$	−0.00250364	−	0.00433642i	−0.000115239	−	0.000199600i
$473$	5.21201	−	5.21201i	0.239648	−	0.239648i
$474$	0.0132777	−	0.0495530i	0.000609864	−	0.00227604i
$475$	30.2935	+	8.11711i	1.38996	+	0.372438i
$476$	−5.05298	+	14.0189i	−0.231603	+	0.642557i
$477$	−2.71630	−	4.70476i	−0.124371	−	0.215416i
$478$	−1.54128	−	0.889857i	−0.0704964	−	0.0407011i
$479$	−8.63573	−	32.2290i	−0.394577	−	1.47258i	−0.822500	−	0.568765i	$-0.807421\pi$
$479$	−8.63573	−	32.2290i	−0.394577	−	1.47258i	0.427924	−	0.903815i	$-0.359245\pi$
$480$		−	8.50029i		−	0.387983i
$481$	−15.3423	−	20.1081i	−0.699550	−	0.916851i
$482$			3.75211i			0.170904i
$483$	−16.9715	+	14.3313i	−0.772229	+	0.652095i
$484$	−4.03815	+	6.99428i	−0.183552	+	0.317922i
$485$	2.61530	−	1.50994i	0.118754	−	0.0685629i
$486$	0.129347	+	0.129347i	0.00586732	+	0.00586732i
$487$	−14.6137	−	3.91573i	−0.662211	−	0.177439i	−0.0879671	−	0.996123i	$-0.528037\pi$
$487$	−14.6137	−	3.91573i	−0.662211	−	0.177439i	−0.574243	+	0.818685i	$0.694704\pi$
$488$	4.57622	+	1.22619i	0.207156	+	0.0555072i
$489$	2.93205	−	2.93205i	0.132592	−	0.132592i
$490$	0.849404	−	4.99951i	0.0383722	−	0.225855i
$491$	−11.7579	−	6.78843i	−0.530627	−	0.306357i	0.210645	−	0.977563i	$-0.432444\pi$
$491$	−11.7579	−	6.78843i	−0.530627	−	0.306357i	−0.741272	+	0.671205i	$0.765777\pi$
$492$	5.48858	−	1.47066i	0.247444	−	0.0663025i
$493$	−9.51669			−0.428610
$494$	0.735965	+	1.79061i	0.0331126	+	0.0805632i
$495$		−	10.3979i		−	0.467349i
$496$	−35.0441	+	9.39005i	−1.57353	+	0.421626i
$497$	−3.35951	+	39.8308i	−0.150695	+	1.78666i
$498$	−0.544349	+	0.314280i	−0.0243928	+	0.0140832i
$499$	9.45211	−	9.45211i	0.423135	−	0.423135i	−0.463147	−	0.886282i	$-0.653280\pi$
$499$	9.45211	−	9.45211i	0.423135	−	0.423135i	0.886282	+	0.463147i	$0.153280\pi$
$500$	−11.4585	+	42.7637i	−0.512440	+	1.91245i
$501$	3.62497	−	13.5286i	0.161952	−	0.604412i
$502$	−1.12674	+	1.12674i	−0.0502887	+	0.0502887i
$503$	1.20476	−	0.695570i	0.0537177	−	0.0310140i	−0.472901	−	0.881116i	$-0.656793\pi$
$503$	1.20476	−	0.695570i	0.0537177	−	0.0310140i	0.526618	+	0.850102i	$0.323460\pi$
$504$	1.91291	+	0.161343i	0.0852078	+	0.00718680i
$505$	5.21852	−	1.39830i	0.232221	−	0.0622234i
$506$		−	4.03217i		−	0.179252i
$507$	12.5752	−	3.29594i	0.558486	−	0.146378i
$508$	19.9953			0.887149
$509$	−22.4834	+	6.02441i	−0.996559	+	0.267027i	−0.720003	−	0.693971i	$-0.755860\pi$
$509$	−22.4834	+	6.02441i	−0.996559	+	0.267027i	−0.276556	+	0.960998i	$0.589193\pi$
$510$	−1.79691	−	1.03745i	−0.0795684	−	0.0459389i
$511$	−0.987902	−	0.687152i	−0.0437022	−	0.0303978i
$512$	9.66738	−	9.66738i	0.427242	−	0.427242i
$513$	−2.83527	−	0.759707i	−0.125180	−	0.0335419i
$514$	2.45990	+	0.659129i	0.108502	+	0.0290729i
$515$	−12.4210	−	12.4210i	−0.547335	−	0.547335i
$516$	4.78129	−	2.76048i	0.210484	−	0.121523i
$517$	9.01819	−	15.6200i	0.396620	−	0.686965i
$518$	−2.59394	+	2.19040i	−0.113971	+	0.0962408i
$519$			15.2625i			0.669947i
$520$	−9.58291	+	3.93871i	−0.420238	+	0.172724i
$521$			6.02463i			0.263944i	0.991253	+	0.131972i	$0.0421309\pi$
$521$			6.02463i			0.263944i	−0.991253	+	0.131972i	$0.957869\pi$
$522$	0.157314	+	0.587105i	0.00688547	+	0.0256969i
$523$	2.29311	+	1.32393i	0.100271	+	0.0578914i	0.549297	−	0.835627i	$-0.314896\pi$
$523$	2.29311	+	1.32393i	0.100271	+	0.0578914i	−0.449026	+	0.893519i	$0.648229\pi$
$524$	19.1964	+	33.2491i	0.838598	+	1.45249i
$525$	−26.5938	−	9.58547i	−1.16065	−	0.418344i
$526$	−1.89034	−	0.506514i	−0.0824226	−	0.0220851i
$527$	−7.07670	+	26.4106i	−0.308266	+	1.15046i
$528$	7.05533	−	7.05533i	0.307044	−	0.307044i
$529$	23.7440	+	41.1258i	1.03235	+	1.78808i
$530$	1.96782	−	3.40837i	0.0854767	−	0.148050i
$531$	−0.00178613	−	0.00666592i	−7.75114e−5	−	0.000289276i
$532$	−13.8211	+	6.49748i	−0.599221	+	0.281701i
$533$	−6.31948	−	8.28249i	−0.273727	−	0.358754i
$534$	0.0378896			0.00163964
$535$	−13.8595	+	3.71364i	−0.599199	+	0.160555i
$536$	−2.94650	+	5.10348i	−0.127269	+	0.220437i
$537$	−4.01190	−	6.94881i	−0.173126	−	0.299863i
$538$	1.19215	+	1.19215i	0.0513974	+	0.0513974i
$539$	14.9886	−	10.6352i	0.645603	−	0.458089i
$540$	2.01574	−	7.52284i	0.0867436	−	0.323732i
$541$	−22.5427	−	22.5427i	−0.969185	−	0.969185i	0.0303542	−	0.999539i	$-0.490336\pi$
$541$	−22.5427	−	22.5427i	−0.969185	−	0.969185i	−0.999539	+	0.0303542i	$0.990336\pi$
$542$	0.160874	−	0.0928807i	0.00691013	−	0.00398957i
$543$	−7.86464	−	4.54065i	−0.337504	−	0.194858i
$544$	−1.59104	−	5.93784i	−0.0682152	−	0.254583i
$545$	62.3085			2.66900
$546$	−0.525374	−	1.66403i	−0.0224839	−	0.0712137i
$547$	24.3001			1.03900			0.519500	−	0.854471i	$-0.326118\pi$
$547$	24.3001			1.03900			0.519500	+	0.854471i	$0.326118\pi$
$548$	6.08488	+	22.7091i	0.259933	+	0.970084i
$549$	5.65469	+	3.26474i	0.241336	+	0.139336i
$550$	4.44393	−	2.56570i	0.189490	−	0.109402i
$551$	−6.89659	−	6.89659i	−0.293805	−	0.293805i
$552$	1.57666	−	5.88418i	0.0671072	−	0.250447i
$553$	−0.131126	−	0.730318i	−0.00557606	−	0.0310563i
$554$	0.118805	+	0.118805i	0.00504753	+	0.00504753i
$555$	13.8909	+	24.0597i	0.589635	+	1.02128i
$556$	16.3825	−	28.3753i	0.694772	−	1.20338i
$557$	−4.94226	+	1.32427i	−0.209410	+	0.0561113i	−0.361999	−	0.932178i	$-0.617906\pi$
$557$	−4.94226	+	1.32427i	−0.209410	+	0.0561113i	0.152589	+	0.988290i	$0.451239\pi$
$558$	1.74631			0.0739271
$559$	−8.01376	−	6.18406i	−0.338946	−	0.261558i
$560$	−16.9415	−	36.0371i	−0.715909	−	1.52284i
$561$	−1.94622	−	7.26338i	−0.0821694	−	0.306660i
$562$	−0.442230	+	0.765964i	−0.0186543	+	0.0323102i
$563$	−10.0206	−	17.3563i	−0.422320	−	0.731480i	0.573846	−	0.818963i	$-0.305451\pi$
$563$	−10.0206	−	17.3563i	−0.422320	−	0.731480i	−0.996166	+	0.0874837i	$0.972117\pi$
$564$	9.55275	−	9.55275i	0.402243	−	0.402243i
$565$	5.63274	−	21.0217i	0.236971	−	0.884389i
$566$	2.80763	+	0.752303i	0.118014	+	0.0316217i
$567$	2.48901	+	0.897136i	0.104528	+	0.0376762i
$568$	−5.48106	−	9.49347i	−0.229980	−	0.398337i
$569$	−29.3938	−	16.9705i	−1.23225	−	0.711441i	−0.264754	−	0.964316i	$-0.585291\pi$
$569$	−29.3938	−	16.9705i	−1.23225	−	0.711441i	−0.967499	+	0.252875i	$0.918624\pi$
$570$	−0.550370	−	2.05401i	−0.0230525	−	0.0860330i
$571$		−	19.5735i		−	0.819124i	−0.912282	−	0.409562i	$-0.865681\pi$
$571$		−	19.5735i		−	0.819124i	0.912282	−	0.409562i	$-0.134319\pi$
$572$	−17.1793	−	7.17096i	−0.718301	−	0.299833i
$573$			20.5142i			0.856994i
$574$	−1.06844	+	0.902223i	−0.0445957	+	0.0376581i
$575$	−44.8521	+	77.6861i	−1.87046	+	3.23973i
$576$	6.24238	−	3.60404i	0.260099	−	0.150168i
$577$	−32.3003	−	32.3003i	−1.34468	−	1.34468i	−0.891335	−	0.453345i	$-0.850231\pi$
$577$	−32.3003	−	32.3003i	−1.34468	−	1.34468i	−0.453345	−	0.891335i	$-0.649769\pi$
$578$	1.55436	+	0.416489i	0.0646527	+	0.0173237i
$579$	−14.0081	−	3.75346i	−0.582157	−	0.155988i
$580$	18.2988	−	18.2988i	0.759816	−	0.759816i
$581$	−5.19124	+	7.46334i	−0.215369	+	0.309631i
$582$	−0.120798	−	0.0697425i	−0.00500722	−	0.00289092i
$583$	13.7771	−	3.69158i	0.570591	−	0.152889i
$584$	0.330019			0.0136563
$585$	−14.1622	+	1.82512i	−0.585535	+	0.0754592i
$586$		−	2.70445i		−	0.111720i
$587$	−12.7987	+	3.42941i	−0.528260	+	0.141547i	−0.513084	−	0.858338i	$-0.671497\pi$
$587$	−12.7987	+	3.42941i	−0.528260	+	0.141547i	−0.0151751	+	0.999885i	$0.504831\pi$
$588$	12.9059	−	4.78883i	0.532232	−	0.197488i
$589$	−24.2677	+	14.0110i	−0.999933	+	0.577312i
$590$	0.00353517	−	0.00353517i	0.000145541	−	0.000145541i
$591$	4.65346	−	17.3669i	0.191418	−	0.714380i
$592$	−6.89992	+	25.7509i	−0.283585	+	1.05835i
$593$	28.9194	−	28.9194i	1.18758	−	1.18758i	0.209843	−	0.977735i	$-0.432705\pi$
$593$	28.9194	−	28.9194i	1.18758	−	1.18758i	0.977735	−	0.209843i	$-0.0672954\pi$
$594$	−0.415922	+	0.240133i	−0.0170655	+	0.00985277i
$595$	−29.9042	−	2.52225i	−1.22595	−	0.103402i
$596$	29.0268	−	7.77770i	1.18898	−	0.318587i
$597$		−	3.27786i		−	0.134154i
$598$	−5.49194	+	0.707759i	−0.224582	+	0.0289424i
$599$	10.2540			0.418967			0.209484	−	0.977812i	$-0.432822\pi$
$599$	10.2540			0.418967			0.209484	+	0.977812i	$0.432822\pi$
$600$	7.48830	−	2.00649i	0.305709	−	0.0819144i
$601$	27.4693	+	15.8594i	1.12050	+	0.646919i	0.941528	−	0.336936i	$-0.109390\pi$
$601$	27.4693	+	15.8594i	1.12050	+	0.646919i	0.178969	+	0.983855i	$0.442724\pi$
$602$	−0.775859	+	1.11544i	−0.0316216	+	0.0454617i
$603$	−5.74297	+	5.74297i	−0.233872	+	0.233872i
$604$	−20.1574	−	5.40116i	−0.820194	−	0.219770i
$605$	−15.7105	−	4.20961i	−0.638722	−	0.171145i
$606$	−0.176452	−	0.176452i	−0.00716786	−	0.00716786i
$607$	−23.1914	+	13.3895i	−0.941309	+	0.543465i	−0.890370	−	0.455237i	$-0.849555\pi$
$607$	−23.1914	+	13.3895i	−0.941309	+	0.543465i	−0.0509383	+	0.998702i	$0.516221\pi$
$608$	3.15005	−	5.45605i	0.127752	−	0.221272i
$609$	5.67187	+	6.71678i	0.229836	+	0.272178i
$610$			4.73028i			0.191523i
$611$	−22.8578	−	9.54130i	−0.924727	−	0.386000i
$612$		−	5.63234i		−	0.227674i
$613$	8.17678	+	30.5162i	0.330257	+	1.23254i	0.908920	+	0.416970i	$0.136908\pi$
$613$	8.17678	+	30.5162i	0.330257	+	1.23254i	−0.578663	+	0.815567i	$0.696425\pi$
$614$	−2.68169	−	1.54827i	−0.108224	−	0.0624833i
$615$	5.72163	+	9.91015i	0.230718	+	0.399616i
$616$	−1.70904	+	4.74154i	−0.0688591	+	0.191042i
$617$	35.9374	+	9.62939i	1.44678	+	0.387665i	0.894904	−	0.446259i	$-0.147244\pi$
$617$	35.9374	+	9.62939i	1.44678	+	0.387665i	0.551880	+	0.833923i	$0.313911\pi$
$618$	−0.209993	+	0.783706i	−0.00844717	+	0.0315253i
$619$	13.9520	−	13.9520i	0.560777	−	0.560777i	−0.368751	−	0.929528i	$-0.620215\pi$
$619$	13.9520	−	13.9520i	0.560777	−	0.560777i	0.929528	+	0.368751i	$0.120215\pi$
$620$	−37.1754	−	64.3897i	−1.49300	−	2.58595i
$621$	4.19786	−	7.27090i	0.168454	−	0.291771i
$622$	1.05589	+	3.94062i	0.0423372	+	0.158005i
$623$	0.495949	−	0.233152i	0.0198698	−	0.00934104i
$624$	−10.8480	−	8.37115i	−0.434266	−	0.335114i
$625$	−35.7364			−1.42945
$626$	−3.84535	+	1.03036i	−0.153691	+	0.0411814i
$627$	3.85326	−	6.67405i	0.153884	−	0.266536i
$628$	−13.2615	−	22.9695i	−0.529190	−	0.916585i
$629$	14.2068	+	14.2068i	0.566462	+	0.566462i
$630$	0.338724	+	1.88655i	0.0134951	+	0.0751619i
$631$	−2.16532	+	8.08109i	−0.0862001	+	0.321703i	−0.995539	−	0.0943536i	$-0.969922\pi$
$631$	−2.16532	+	8.08109i	−0.0862001	+	0.321703i	0.909339	+	0.416057i	$0.136588\pi$
$632$	0.143887	+	0.143887i	0.00572353	+	0.00572353i
$633$	−21.6946	+	12.5254i	−0.862283	+	0.497840i
$634$	0.870873	+	0.502799i	0.0345868	+	0.0199687i
$635$	10.4222	+	38.8960i	0.413591	+	1.54354i
$636$	10.6834			0.423624
$637$	−17.1163	−	18.5481i	−0.678173	−	0.734902i
$638$	−1.59581			−0.0631787
$639$	−3.91026	−	14.5933i	−0.154688	−	0.577302i
$640$	19.2452	+	11.1112i	0.760734	+	0.439210i
$641$	−19.7158	+	11.3829i	−0.778726	+	0.449598i	−0.835979	−	0.548762i	$-0.815099\pi$
$641$	−19.7158	+	11.3829i	−0.778726	+	0.449598i	0.0572524	+	0.998360i	$0.481766\pi$
$642$	0.468626	+	0.468626i	0.0184952	+	0.0184952i
$643$	−3.68359	+	13.7474i	−0.145267	+	0.542143i	0.854477	+	0.519490i	$0.173878\pi$
$643$	−3.68359	+	13.7474i	−0.145267	+	0.542143i	−0.999743	+	0.0226531i	$0.992789\pi$
$644$	−7.71965	−	42.9951i	−0.304197	−	1.69425i
$645$	7.86199	+	7.86199i	0.309565	+	0.309565i
$646$	−0.768917	−	1.33180i	−0.0302527	−	0.0523991i
$647$	−22.6826	+	39.2874i	−0.891744	+	1.54455i	−0.0539612	+	0.998543i	$0.517185\pi$
$647$	−22.6826	+	39.2874i	−0.891744	+	1.54455i	−0.837783	+	0.546003i	$0.816149\pi$
$648$	−0.700855	+	0.187794i	−0.0275322	+	0.00737723i
$649$	0.0181186			0.000711218
$650$	−4.27460	−	5.60241i	−0.167663	−	0.219745i
$651$	22.8580	−	10.7458i	0.895875	−	0.421163i
$652$	2.11050	+	7.87648i	0.0826534	+	0.308467i
$653$	5.43437	−	9.41260i	0.212663	−	0.368344i	−0.739884	−	0.672735i	$-0.765120\pi$
$653$	5.43437	−	9.41260i	0.212663	−	0.368344i	0.952547	+	0.304391i	$0.0984529\pi$
$654$	−1.43898	−	2.49238i	−0.0562685	−	0.0974599i
$655$	−54.6723	+	54.6723i	−2.13622	+	2.13622i
$656$	−2.84206	+	10.6067i	−0.110964	+	0.414123i
$657$	0.439338	+	0.117720i	0.0171402	+	0.00459270i
$658$	−1.12738	+	3.12781i	−0.0439500	+	0.121935i
$659$	−4.13172	−	7.15635i	−0.160949	−	0.278772i	0.774260	−	0.632867i	$-0.218122\pi$
$659$	−4.13172	−	7.15635i	−0.160949	−	0.278772i	−0.935209	+	0.354096i	$0.884789\pi$
$660$	17.7083	+	10.2239i	0.689295	+	0.397965i
$661$	0.844712	+	3.15251i	0.0328555	+	0.122618i	0.980406	−	0.196988i	$-0.0631160\pi$
$661$	0.844712	+	3.15251i	0.0328555	+	0.122618i	−0.947550	+	0.319606i	$0.896449\pi$
$662$		−	3.34138i		−	0.129867i
$663$	−9.55132	+	3.92573i	−0.370943	+	0.152463i
$664$		−	2.49321i		−	0.0967552i
$665$	−19.8432	−	23.4989i	−0.769488	−	0.911248i
$666$	0.641604	−	1.11129i	0.0248617	−	0.0430617i
$667$	24.1595	−	13.9485i	0.935459	−	0.540088i
$668$	19.4758	+	19.4758i	0.753542	+	0.753542i
$669$	−9.63125	−	2.58069i	−0.372366	−	0.0997751i
$670$	−5.68334	−	1.52285i	−0.219567	−	0.0588327i
$671$	−12.1219	+	12.1219i	−0.467962	+	0.467962i
$672$	−3.24262	+	4.66184i	−0.125087	+	0.179834i
$673$	−29.2655	−	16.8964i	−1.12810	−	0.651310i	−0.184645	−	0.982805i	$-0.559114\pi$
$673$	−29.2655	−	16.8964i	−1.12810	−	0.651310i	−0.943457	+	0.331495i	$0.892447\pi$
$674$	−2.20697	+	0.591357i	−0.0850095	+	0.0227782i
$675$	10.6845			0.411247
$676$	−6.75162	+	24.6573i	−0.259678	+	0.948360i
$677$			26.7526i			1.02819i	0.857734	+	0.514093i	$0.171871\pi$
$677$			26.7526i			1.02819i	−0.857734	+	0.514093i	$0.828129\pi$
$678$	−0.970968	+	0.260170i	−0.0372898	+	0.00999177i
$679$	−2.01032	−	0.169559i	−0.0771488	−	0.00650707i
$680$	7.12751	−	4.11507i	0.273327	−	0.157806i
$681$	−11.0727	+	11.0727i	−0.424307	+	0.424307i
$682$	−1.18666	+	4.42867i	−0.0454395	+	0.169583i
$683$	−4.61892	+	17.2380i	−0.176738	+	0.659595i	0.819511	+	0.573063i	$0.194245\pi$
$683$	−4.61892	+	17.2380i	−0.176738	+	0.659595i	−0.996249	+	0.0865317i	$0.972422\pi$
$684$	4.08167	−	4.08167i	0.156066	−	0.156066i
$685$	−41.0034	+	23.6733i	−1.56666	+	0.904511i
$686$	−2.37301	+	2.41787i	−0.0906021	+	0.0923149i
$687$	2.17375	−	0.582456i	0.0829339	−	0.0222221i
$688$			10.6693i			0.406763i
$689$	−7.44631	−	18.1169i	−0.283682	−	0.690199i
$690$	6.08228			0.231548
$691$	28.7650	−	7.70756i	1.09427	−	0.293209i	0.333842	−	0.942629i	$-0.391655\pi$
$691$	28.7650	−	7.70756i	1.09427	−	0.293209i	0.760430	+	0.649420i	$0.224988\pi$
$692$	−25.9931	−	15.0071i	−0.988108	−	0.570484i
$693$	−3.96649	+	5.70254i	−0.150675	+	0.216621i
$694$	0.699792	−	0.699792i	0.0265637	−	0.0265637i
$695$	63.7363	+	17.0781i	2.41766	+	0.647809i
$696$	−2.32878	−	0.623994i	−0.0882720	−	0.0236524i
$697$	5.85175	+	5.85175i	0.221651	+	0.221651i
$698$	0.981627	−	0.566743i	0.0371551	−	0.0214515i
$699$	−4.24841	+	7.35846i	−0.160690	+	0.278323i
$700$	42.4736	−	35.8661i	1.60535	−	1.35561i
$701$		−	23.3038i		−	0.880172i	−0.897956	−	0.440086i	$-0.854948\pi$
$701$		−	23.3038i		−	0.880172i	0.897956	−	0.440086i	$-0.145052\pi$
$702$	0.400074	+	0.524348i	0.0150998	+	0.0197902i
$703$			20.5909i			0.776599i
$704$	4.89806	+	18.2798i	0.184603	+	0.688947i
$705$	23.5617	+	13.6034i	0.887386	+	0.512333i
$706$	3.22910	+	5.59297i	0.121529	+	0.210494i
$707$	−3.39542	−	1.22384i	−0.127698	−	0.0460274i
$708$	0.0131088	+	0.00351249i	0.000492659	+	0.000132007i
$709$	2.40630	−	8.98045i	0.0903706	−	0.337268i	−0.905906	−	0.423478i	$-0.860809\pi$
$709$	2.40630	−	8.98045i	0.0903706	−	0.337268i	0.996277	+	0.0862104i	$0.0274757\pi$
$710$	7.73933	−	7.73933i	0.290452	−	0.290452i
$711$	0.140224	+	0.242875i	0.00525882	+	0.00910854i
$712$	−0.0751452	+	0.130155i	−0.00281619	+	0.00487778i
$713$	−20.7444	−	77.4193i	−0.776886	−	2.89938i
$714$	0.589728	+	1.25444i	0.0220700	+	0.0469462i
$715$	4.99502	−	37.1558i	0.186803	−	1.38955i
$716$	15.7791			0.589693
$717$	9.39768	−	2.51810i	0.350963	−	0.0940402i
$718$	−1.01070	+	1.75059i	−0.0377191	+	0.0653315i
$719$	7.87045	+	13.6320i	0.293518	+	0.508388i	0.974639	−	0.223783i	$-0.0718405\pi$
$719$	7.87045	+	13.6320i	0.293518	+	0.508388i	−0.681121	+	0.732171i	$0.738507\pi$
$720$	10.6425	+	10.6425i	0.396623	+	0.396623i
$721$	2.07383	+	11.5504i	0.0772335	+	0.430158i
$722$	−0.491630	+	1.83479i	−0.0182966	+	0.0682838i
$723$	−14.5040	−	14.5040i	−0.539409	−	0.539409i
$724$	15.4661	−	8.92936i	0.574793	−	0.331857i
$725$	30.7457	+	17.7511i	1.14187	+	0.659258i
$726$	0.194437	+	0.725649i	0.00721624	+	0.0269314i
$727$	5.72068			0.212168			0.106084	−	0.994357i	$-0.466169\pi$
$727$	5.72068			0.212168			0.106084	+	0.994357i	$0.466169\pi$
$728$	6.75809	+	1.49549i	0.250472	+	0.0554264i
$729$	−1.00000			−0.0370370
$730$	0.0852824	+	0.318278i	0.00315644	+	0.0117800i
$731$	6.96352	+	4.02039i	0.257555	+	0.148700i
$732$	−11.1202	+	6.42023i	−0.411013	+	0.237298i
$733$	12.5077	+	12.5077i	0.461982	+	0.461982i	0.899305	−	0.437322i	$-0.144073\pi$
$733$	12.5077	+	12.5077i	0.461982	+	0.461982i	−0.437322	+	0.899305i	$0.644073\pi$
$734$	−1.06225	+	3.96439i	−0.0392085	+	0.146328i
$735$	16.0425	+	22.6093i	0.591735	+	0.833957i
$736$	12.7421	+	12.7421i	0.469680	+	0.469680i
$737$	−10.6618	−	18.4668i	−0.392732	−	0.680232i
$738$	0.264276	−	0.457739i	0.00972812	−	0.0168496i
$739$	34.5884	−	9.26794i	1.27236	−	0.340927i	0.441423	−	0.897299i	$-0.354474\pi$
$739$	34.5884	−	9.26794i	1.27236	−	0.340927i	0.830933	+	0.556372i	$0.187807\pi$
$740$	−54.6339			−2.00838
$741$	−9.76660	−	4.07677i	−0.358785	−	0.149764i
$742$	−2.37941	+	1.11859i	−0.0873510	+	0.0410649i
$743$	−1.35076	−	5.04112i	−0.0495547	−	0.184941i	0.936712	−	0.350101i	$-0.113853\pi$
$743$	−1.35076	−	5.04112i	−0.0495547	−	0.184941i	−0.986267	+	0.165160i	$0.947186\pi$
$744$	−3.46340	+	5.99879i	−0.126974	+	0.219926i
$745$	30.2593	+	52.4106i	1.10861	+	1.92017i
$746$	0.894109	−	0.894109i	0.0327357	−	0.0327357i
$747$	0.889344	−	3.31908i	0.0325394	−	0.121439i
$748$	14.2837	+	3.82731i	0.522265	+	0.139940i
$749$	9.01766	+	3.25032i	0.329498	+	0.118764i
$750$	2.05908	+	3.56642i	0.0751868	+	0.130227i
$751$	24.9221	+	14.3888i	0.909421	+	0.525055i	0.880245	−	0.474520i	$-0.157378\pi$
$751$	24.9221	+	14.3888i	0.909421	+	0.525055i	0.0291764	+	0.999574i	$0.490712\pi$
$752$	6.75711	+	25.2179i	0.246406	+	0.919601i
$753$		−	8.71092i		−	0.317444i
$754$	0.280109	+	2.17354i	0.0102010	+	0.0791556i
$755$		−	42.0266i		−	1.52950i
$756$	−3.97525	+	3.35683i	−0.144578	+	0.122087i
$757$	8.90997	−	15.4325i	0.323838	−	0.560905i	−0.657438	−	0.753508i	$-0.728360\pi$
$757$	8.90997	−	15.4325i	0.323838	−	0.560905i	0.981277	+	0.192604i	$0.0616933\pi$
$758$	−1.32557	+	0.765320i	−0.0481470	+	0.0277977i
$759$	15.5866	+	15.5866i	0.565758	+	0.565758i
$760$	8.14731	+	2.18306i	0.295534	+	0.0791881i
$761$	−52.7426	−	14.1323i	−1.91192	−	0.512296i	−0.993044	−	0.117741i	$-0.962435\pi$
$761$	−52.7426	−	14.1323i	−1.91192	−	0.512296i	−0.918872	−	0.394556i	$-0.870899\pi$
$762$	1.31518	−	1.31518i	0.0476438	−	0.0476438i
$763$	−34.1720	−	23.7689i	−1.23711	−	0.860492i
$764$	−34.9372	−	20.1710i	−1.26398	−	0.729761i
$765$	10.9564	−	2.93575i	0.396128	−	0.106142i
$766$	−0.404738			−0.0146238
$767$	−0.00318032	−	0.0246781i	−0.000114835	−	0.000891074i
$768$			13.3897i			0.483160i
$769$	−23.1319	+	6.19819i	−0.834159	+	0.223512i	−0.650527	−	0.759483i	$-0.725452\pi$
$769$	−23.1319	+	6.19819i	−0.834159	+	0.223512i	−0.183632	+	0.982995i	$0.558785\pi$
$770$	−5.01449	−	0.422944i	−0.180710	−	0.0152419i
$771$	−12.0568	+	6.96099i	−0.434215	+	0.250694i
$772$	20.1661	−	20.1661i	0.725795	−	0.725795i
$773$	10.0708	−	37.5846i	0.362221	−	1.35183i	−0.508929	−	0.860808i	$-0.669958\pi$
$773$	10.0708	−	37.5846i	0.362221	−	1.35183i	0.871150	−	0.491017i	$-0.163375\pi$
$774$	0.132917	−	0.496054i	0.00477761	−	0.0178303i
$775$	72.1254	−	72.1254i	2.59082	−	2.59082i
$776$	0.479148	−	0.276636i	0.0172004	−	0.00993067i
$777$	1.55988	−	18.4941i	0.0559603	−	0.663473i
$778$	−4.37935	+	1.17344i	−0.157007	+	0.0420700i
$779$			8.48133i			0.303875i
$780$	10.8169	−	25.9138i	0.387309	−	0.927864i
$781$	39.6660			1.41936
$782$	4.24875	−	1.13845i	0.151935	−	0.0407109i
$783$	−2.87760	−	1.66138i	−0.102837	−	0.0593729i
$784$	−4.45584	+	26.2266i	−0.159137	+	0.936665i
$785$	37.7694	−	37.7694i	1.34805	−	1.34805i
$786$	3.44956	+	0.924307i	0.123042	+	0.0329689i
$787$	−17.8194	−	4.77470i	−0.635194	−	0.170200i	−0.0731686	−	0.997320i	$-0.523311\pi$
$787$	−17.8194	−	4.77470i	−0.635194	−	0.170200i	−0.562026	+	0.827120i	$0.689978\pi$
$788$	25.0015	+	25.0015i	0.890643	+	0.890643i
$789$	9.26516	−	5.34924i	0.329848	−	0.190438i
$790$	−0.101585	+	0.175951i	−0.00361425	+	0.00626006i
$791$	−11.1084	+	9.38026i	−0.394968	+	0.333524i
$792$		−	1.90499i		−	0.0676910i
$793$	18.6381	+	14.3827i	0.661860	+	0.510744i
$794$			2.26224i			0.0802838i
$795$	5.56851	+	20.7820i	0.197495	+	0.737060i
$796$	5.58244	+	3.22302i	0.197864	+	0.114237i
$797$	−0.444897	−	0.770584i	−0.0157591	−	0.0272955i	0.858038	−	0.513586i	$-0.171683\pi$
$797$	−0.444897	−	0.770584i	−0.0157591	−	0.0272955i	−0.873797	+	0.486290i	$0.838350\pi$
$798$	−0.481705	+	1.33644i	−0.0170522	+	0.0473094i
$799$	19.0051	+	5.09241i	0.672354	+	0.180157i
$800$	−5.93539	+	22.1512i	−0.209848	+	0.783162i
$801$	−0.146464	+	0.146464i	−0.00517506	+	0.00517506i
$802$	−2.59822	−	4.50024i	−0.0917462	−	0.158909i
$803$	−0.597081	+	1.03417i	−0.0210705	+	0.0364952i
$804$	−4.13381	−	15.4276i	−0.145788	−	0.544089i
$805$	79.6129	−	37.4271i	2.80599	−	1.31913i
$806$	6.24027	+	0.838908i	0.219804	+	0.0295493i
$807$	−9.21668			−0.324443
$808$	0.956084	−	0.256182i	0.0336349	−	0.00901245i
$809$	22.3601	−	38.7288i	0.786138	−	1.36163i	−0.142179	−	0.989841i	$-0.545411\pi$
$809$	22.3601	−	38.7288i	0.786138	−	1.36163i	0.928317	−	0.371790i	$-0.121256\pi$
$810$	−0.362225	−	0.627392i	−0.0127273	−	0.0220443i
$811$	−28.1862	−	28.1862i	−0.989753	−	0.989753i	0.0101954	−	0.999948i	$-0.496755\pi$
$811$	−28.1862	−	28.1862i	−0.989753	−	0.989753i	−0.999948	+	0.0101954i	$0.996755\pi$
$812$	−17.0161	+	3.05520i	−0.597149	+	0.107216i
$813$	−0.262832	+	0.980903i	−0.00921793	+	0.0344018i
$814$	2.38227	+	2.38227i	0.0834985	+	0.0834985i
$815$	−14.2217	+	8.21092i	−0.498165	+	0.287616i
$816$	9.42629	+	5.44227i	0.329986	+	0.190518i
$817$	2.13284	+	7.95986i	0.0746186	+	0.278480i
$818$	−5.69714			−0.199196
$819$	8.46325	+	4.40152i	0.295730	+	0.153802i
$820$	−22.5036			−0.785860
$821$	0.320911	+	1.19766i	0.0111999	+	0.0417986i	0.971300	−	0.237859i	$-0.0764457\pi$
$821$	0.320911	+	1.19766i	0.0111999	+	0.0417986i	−0.960100	+	0.279658i	$0.909779\pi$
$822$	1.89390	+	1.09344i	0.0660573	+	0.0381382i
$823$	−25.3229	+	14.6202i	−0.882701	+	0.509628i	−0.871548	−	0.490310i	$-0.836884\pi$
$823$	−25.3229	+	14.6202i	−0.882701	+	0.509628i	−0.0111531	+	0.999938i	$0.503550\pi$
$824$	−2.27565	−	2.27565i	−0.0792761	−	0.0792761i
$825$	−7.26039	+	27.0961i	−0.252774	+	0.943366i
$826$	−0.00328737		0.000590238i	−0.000114382		2.05370e-5i
$827$	−27.0221	−	27.0221i	−0.939649	−	0.939649i	0.0586310	−	0.998280i	$-0.481326\pi$
$827$	−27.0221	−	27.0221i	−0.939649	−	0.939649i	−0.998280	+	0.0586310i	$0.981326\pi$
$828$	8.25525	+	14.2985i	0.286890	+	0.496908i
$829$	9.30153	−	16.1107i	0.323055	−	0.559548i	−0.658061	−	0.752964i	$-0.728623\pi$
$829$	9.30153	−	16.1107i	0.323055	−	0.559548i	0.981117	+	0.193416i	$0.0619567\pi$
$830$	2.40451	−	0.644285i	0.0834616	−	0.0223635i
$831$	−0.918493			−0.0318622
$832$	24.0379	−	9.87993i	0.833364	−	0.342525i
$833$	15.4383	+	12.7909i	0.534905	+	0.443178i
$834$	−0.788818	−	2.94391i	−0.0273145	−	0.101939i
$835$	−27.7341	+	48.0368i	−0.959777	+	1.66238i
$836$	7.57759	+	13.1248i	0.262076	+	0.453930i
$837$	−6.75045	+	6.75045i	−0.233330	+	0.233330i
$838$	0.842882	−	3.14568i	0.0291169	−	0.108666i
$839$	17.3070	+	4.63740i	0.597504	+	0.160101i	0.544881	−	0.838514i	$-0.316575\pi$
$839$	17.3070	+	4.63740i	0.597504	+	0.160101i	0.0526236	+	0.998614i	$0.483242\pi$
$840$	−7.15231	−	2.57797i	−0.246778	−	0.0889486i
$841$	8.97962	+	15.5532i	0.309642	+	0.536316i
$842$	−1.62995	−	0.941050i	−0.0561716	−	0.0324307i
$843$	−1.25141	−	4.67034i	−0.0431010	−	0.160855i
$844$		−	49.2633i		−	1.69571i
$845$	−51.4840	−	0.281491i	−1.77110	−	0.00968359i
$846$		−	1.25665i		−	0.0432045i
$847$	7.01030	+	8.30179i	0.240877	+	0.285253i
$848$	−10.3229	+	17.8797i	−0.354489	+	0.613993i
$849$	−13.7611	+	7.94500i	−0.472281	+	0.272672i
$850$	3.95822	+	3.95822i	0.135766	+	0.135766i
$851$	−56.8887	−	15.2433i	−1.95012	−	0.522533i
$852$	28.6983	+	7.68968i	0.983187	+	0.263444i
$853$	−36.5250	+	36.5250i	−1.25059	+	1.25059i	−0.295137	+	0.955455i	$0.595365\pi$
$853$	−36.5250	+	36.5250i	−1.25059	+	1.25059i	−0.955455	+	0.295137i	$0.904635\pi$
$854$	1.80447	−	2.59424i	0.0617476	−	0.0887731i
$855$	10.0674	+	5.81240i	0.344297	+	0.198780i
$856$	−2.53920	+	0.680376i	−0.0867880	+	0.0232548i
$857$	−36.8519			−1.25884			−0.629418	−	0.777067i	$-0.716707\pi$
$857$	−36.8519			−1.25884			−0.629418	+	0.777067i	$0.716707\pi$
$858$	−1.60162	+	0.658287i	−0.0546783	+	0.0224736i
$859$			29.0833i			0.992310i	0.868234	+	0.496155i	$0.165255\pi$
$859$			29.0833i			0.992310i	−0.868234	+	0.496155i	$0.834745\pi$
$860$	−21.1200	+	5.65908i	−0.720185	+	0.192973i
$861$	0.642510	−	7.61770i	0.0218967	−	0.259610i
$862$	3.62647	−	2.09374i	0.123518	−	0.0713132i
$863$	−0.584660	+	0.584660i	−0.0199021	+	0.0199021i	−0.716988	−	0.697086i	$-0.754480\pi$
$863$	−0.584660	+	0.584660i	−0.0199021	+	0.0199021i	0.697086	+	0.716988i	$0.254480\pi$
$864$	0.555513	−	2.07320i	0.0188989	−	0.0705318i
$865$	15.6443	−	58.3853i	0.531922	−	1.98516i
$866$	−0.959292	+	0.959292i	−0.0325981	+	0.0325981i
$867$	−7.61842	+	4.39849i	−0.258735	+	0.149381i
$868$	−4.17462	+	49.4949i	−0.141696	+	1.67997i
$869$	−0.711222	+	0.190571i	−0.0241266	+	0.00646469i
$870$		−	2.40718i		−	0.0816109i
$871$	−23.2808	+	17.7631i	−0.788840	+	0.601879i
$872$	11.4155			0.386579
$873$	0.736543	−	0.197356i	0.0249282	−	0.00667950i
$874$	3.90401	+	2.25398i	0.132055	+	0.0762421i
$875$	48.8978	+	34.0116i	1.65305	+	1.14980i
$876$	−0.632473	+	0.632473i	−0.0213693	+	0.0213693i
$877$	24.9512	+	6.68566i	0.842543	+	0.225759i	0.654178	−	0.756340i	$-0.273015\pi$
$877$	24.9512	+	6.68566i	0.842543	+	0.225759i	0.188365	+	0.982099i	$0.439681\pi$
$878$	−6.50615	−	1.74332i	−0.219572	−	0.0588341i
$879$	10.4542	+	10.4542i	0.352612	+	0.352612i
$880$	−34.2215	+	19.7578i	−1.15360	+	0.666034i
$881$	16.3924	−	28.3925i	0.552275	−	0.956568i	−0.445835	−	0.895115i	$-0.647093\pi$
$881$	16.3924	−	28.3925i	0.552275	−	0.956568i	0.998110	−	0.0614526i	$-0.0195733\pi$
$882$	0.533897	−	1.16386i	0.0179773	−	0.0391892i
$883$			51.9581i			1.74853i	0.485450	+	0.874265i	$0.338656\pi$
$883$			51.9581i			1.74853i	−0.485450	+	0.874265i	$0.661344\pi$
$884$	2.70572	−	20.1266i	0.0910031	−	0.676932i
$885$			0.0273308i			0.000918714i
$886$	1.21631	+	4.53932i	0.0408627	+	0.152501i
$887$	28.3210	+	16.3512i	0.950928	+	0.549018i	0.893369	−	0.449324i	$-0.148335\pi$
$887$	28.3210	+	16.3512i	0.950928	+	0.549018i	0.0575587	+	0.998342i	$0.481668\pi$
$888$	2.54495	+	4.40798i	0.0854029	+	0.147922i
$889$	9.12188	−	25.3077i	0.305938	−	0.848791i
$890$	−0.144944	−	0.0388375i	−0.00485852	−	0.00130184i
$891$	0.679524	−	2.53602i	0.0227649	−	0.0849598i
$892$	13.8652	−	13.8652i	0.464242	−	0.464242i
$893$	10.0823	+	17.4631i	0.337392	+	0.584381i
$894$	1.39764	−	2.42079i	0.0467441	−	0.0809632i
$895$	8.22454	+	30.6944i	0.274916	+	1.02600i
$896$	−6.31610	−	13.4353i	−0.211006	−	0.448841i
$897$	18.4935	−	23.9653i	0.617480	−	0.800177i
$898$	−0.891430			−0.0297474
$899$	−30.6402	+	8.21001i	−1.02191	+	0.273819i
$900$	−10.5058	+	18.1965i	−0.350192	+	0.606550i
$901$	7.77971	+	13.4749i	0.259180	+	0.448913i
$902$	0.981252	+	0.981252i	0.0326721	+	0.0326721i
$903$	−1.31265	−	7.31090i	−0.0436823	−	0.243292i
$904$	1.03197	−	3.85138i	0.0343230	−	0.128095i
$905$	25.4313	+	25.4313i	0.845365	+	0.845365i
$906$	−1.68110	+	0.970581i	−0.0558506	+	0.0322454i
$907$	−17.5633	−	10.1402i	−0.583178	−	0.336698i	0.179217	−	0.983810i	$-0.442644\pi$
$907$	−17.5633	−	10.1402i	−0.583178	−	0.336698i	−0.762395	+	0.647111i	$0.775977\pi$
$908$	−7.97016	−	29.7451i	−0.264499	−	0.987124i
$909$	1.36417			0.0452466
$910$	0.304121	+	6.90412i	0.0100815	+	0.228869i
$911$	−10.1023			−0.334704			−0.167352	−	0.985897i	$-0.553522\pi$
$911$	−10.1023			−0.334704			−0.167352	+	0.985897i	$0.553522\pi$
$912$	2.88715	+	10.7750i	0.0956032	+	0.356796i
$913$	7.81291	+	4.51078i	0.258569	+	0.149285i
$914$	0.808142	−	0.466581i	0.0267309	−	0.0154331i
$915$	−18.2852	−	18.2852i	−0.604489	−	0.604489i
$916$	−1.14542	+	4.27477i	−0.0378458	+	0.141242i
$917$	50.8401	−	9.12818i	1.67889	−	0.301439i
$918$	−0.370463	−	0.370463i	−0.0122271	−	0.0122271i
$919$	17.0100	+	29.4622i	0.561108	+	0.971867i	0.997400	+	0.0720619i	$0.0229579\pi$
$919$	17.0100	+	29.4622i	0.561108	+	0.971867i	−0.436293	+	0.899805i	$0.643709\pi$
$920$	−12.0628	+	20.8934i	−0.397699	+	0.688834i
$921$	16.3512	−	4.38128i	0.538789	−	0.144368i
$922$	−1.56330			−0.0514844
$923$	−6.96249	−	54.0262i	−0.229173	−	1.77830i
$924$	−5.81170	−	12.3623i	−0.191191	−	0.406691i
$925$	−19.3988	−	72.3974i	−0.637830	−	2.38041i
$926$	−0.0228573	+	0.0395900i	−0.000751138	+	0.00130101i
$927$	−2.21772	−	3.84120i	−0.0728394	−	0.126162i
$928$	5.04292	−	5.04292i	0.165542	−	0.165542i
$929$	1.74577	−	6.51529i	0.0572768	−	0.213760i	−0.931356	−	0.364110i	$-0.881373\pi$
$929$	1.74577	−	6.51529i	0.0572768	−	0.213760i	0.988633	+	0.150350i	$0.0480400\pi$
$930$	−6.68037	−	1.79000i	−0.219058	−	0.0586964i
$931$	1.91853	+	20.4572i	0.0628772	+	0.670458i
$932$	−8.35466	−	14.4707i	−0.273666	−	0.474003i
$933$	−19.3143	−	11.1511i	−0.632322	−	0.365071i
$934$	−1.10731	−	4.13252i	−0.0362321	−	0.135220i
$935$			29.7804i			0.973924i
$936$	−2.59465	+	0.334379i	−0.0848089	+	0.0109295i
$937$		−	37.1803i		−	1.21463i	−0.794461	−	0.607315i	$-0.792247\pi$
$937$		−	37.1803i		−	1.21463i	0.794461	−	0.607315i	$-0.207753\pi$
$938$	2.53601	+	3.00321i	0.0828037	+	0.0980584i
$939$	10.8815	−	18.8473i	0.355105	−	0.615059i
$940$	−46.3350	+	26.7515i	−1.51128	+	0.872539i
$941$	38.8786	+	38.8786i	1.26741	+	1.26741i	0.947424	+	0.319981i	$0.103677\pi$
$941$	38.8786	+	38.8786i	1.26741	+	1.26741i	0.319981	+	0.947424i	$0.396323\pi$
$942$	−2.38307	−	0.638541i	−0.0776445	−	0.0208048i
$943$	−23.4323	−	6.27867i	−0.763062	−	0.204462i
$944$	−0.0185449	+	0.0185449i	−0.000603586	+	0.000603586i
$945$	−8.60192	−	5.98320i	−0.279820	−	0.194634i
$946$	1.16768	+	0.674160i	0.0379646	+	0.0219188i
$947$	−20.0773	+	5.37969i	−0.652424	+	0.174816i	−0.569824	−	0.821766i	$-0.692989\pi$
$947$	−20.0773	+	5.37969i	−0.652424	+	0.174816i	−0.0825993	+	0.996583i	$0.526322\pi$
$948$	−0.551512			−0.0179123
$949$	1.51338	+	0.631715i	0.0491264	+	0.0205063i
$950$			5.73691i			0.186130i
$951$	−5.31001	+	1.42281i	−0.172189	+	0.0461378i
$952$	−5.47874	−	0.462102i	−0.177567	−	0.0149768i
$953$	23.9622	−	13.8346i	0.776212	−	0.448146i	−0.0588741	−	0.998265i	$-0.518751\pi$
$953$	23.9622	−	13.8346i	0.776212	−	0.448146i	0.835086	+	0.550119i	$0.185418\pi$
$954$	0.702692	−	0.702692i	0.0227505	−	0.0227505i
$955$	21.0275	−	78.4756i	0.680433	−	2.53941i
$956$	−4.95194	+	18.4809i	−0.160157	+	0.597715i
$957$	6.16869	−	6.16869i	0.199405	−	0.199405i
$958$	5.28575	−	3.05173i	0.170775	−	0.0985968i
$959$	31.5183	+	2.65839i	1.01778	+	0.0858440i
$960$	−27.5740	+	7.38842i	−0.889946	+	0.238460i
$961$			60.1373i			1.93991i
$962$	2.82657	−	3.66287i	0.0911321	−	0.118096i
$963$	−3.62300			−0.116750
$964$	38.9627	−	10.4400i	1.25490	−	0.336250i
$965$	49.7395	+	28.7171i	1.60117	+	0.924437i
$966$	−3.33573	−	2.32022i	−0.107325	−	0.0746518i
$967$	9.79059	−	9.79059i	0.314844	−	0.314844i	−0.531939	−	0.846783i	$-0.678536\pi$
$967$	9.79059	−	9.79059i	0.314844	−	0.314844i	0.846783	+	0.531939i	$0.178536\pi$
$968$	−2.87832	−	0.771242i	−0.0925126	−	0.0247887i
$969$	8.12046	+	2.17587i	0.260867	+	0.0698990i
$970$	0.390614	+	0.390614i	0.0125419	+	0.0125419i
$971$	−18.5031	+	10.6828i	−0.593792	+	0.342826i	−0.766596	−	0.642130i	$-0.778051\pi$
$971$	−18.5031	+	10.6828i	−0.593792	+	0.342826i	0.172803	+	0.984956i	$0.444717\pi$
$972$	0.983269	−	1.70307i	0.0315384	−	0.0546261i
$973$	−28.4403	−	33.6798i	−0.911755	−	1.07972i
$974$		−	2.76751i		−	0.0886769i
$975$	38.1801	+	5.13273i	1.22274	+	0.164379i
$976$		−	24.8143i		−	0.794286i
$977$	−9.16391	−	34.2002i	−0.293179	−	1.09416i	−0.942653	−	0.333776i	$-0.891677\pi$
$977$	−9.16391	−	34.2002i	−0.293179	−	1.09416i	0.649473	−	0.760384i	$-0.274989\pi$
$978$	0.656885	+	0.379253i	0.0210049	+	0.0121272i
$979$	−0.271910	−	0.470962i	−0.00869028	−	0.0150520i
$980$	−54.2793	+	5.09045i	−1.73389	+	0.162608i
$981$	15.1969	+	4.07200i	0.485200	+	0.130009i
$982$	0.642789	−	2.39892i	0.0205122	−	0.0765526i
$983$	−21.6097	+	21.6097i	−0.689243	+	0.689243i	−0.962065	−	0.272822i	$-0.912043\pi$
$983$	−21.6097	+	21.6097i	−0.689243	+	0.689243i	0.272822	+	0.962065i	$0.412043\pi$
$984$	1.04826	+	1.81564i	0.0334173	+	0.0578804i
$985$	−35.6029	+	61.6660i	−1.13440	+	1.96484i
$986$	−0.450563	−	1.68152i	−0.0143488	−	0.0535506i
$987$	−7.73274	−	16.4487i	−0.246136	−	0.523567i
$988$	16.5462	−	12.6247i	0.526406	−	0.401644i
$989$	−23.5705			−0.749499
$990$	1.83722	−	0.492281i	0.0583907	−	0.0156457i
$991$	0.414264	−	0.717526i	0.0131595	−	0.0227930i	−0.859371	−	0.511353i	$-0.829144\pi$
$991$	0.414264	−	0.717526i	0.0131595	−	0.0227930i	0.872530	+	0.488560i	$0.162478\pi$
$992$	−10.2451	−	17.7450i	−0.325282	−	0.563405i
$993$	12.9163	+	12.9163i	0.409886	+	0.409886i
$994$	−7.19684	+	1.29217i	−0.228270	+	0.0409852i
$995$	−3.35987	+	12.5392i	−0.106515	+	0.397520i
$996$	4.77816	+	4.77816i	0.151402	+	0.151402i
$997$	35.7880	−	20.6622i	1.13342	−	0.654379i	0.188625	−	0.982049i	$-0.439597\pi$
$997$	35.7880	−	20.6622i	1.13342	−	0.654379i	0.944792	+	0.327671i	$0.106264\pi$
$998$	2.11762	+	1.22261i	0.0670320	+	0.0387009i
$999$	1.81560	+	6.77592i	0.0574431	+	0.214381i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.d.97.5	yes	32
3.2	odd	2		819.2.fm.e.370.4		32
7.6	odd	2		273.2.by.c.97.5	yes	32
13.11	odd	12		273.2.by.c.76.5	✓	32
21.20	even	2		819.2.fm.f.370.4		32
39.11	even	12		819.2.fm.f.622.4		32
91.76	even	12	inner	273.2.by.d.76.5	yes	32
273.167	odd	12		819.2.fm.e.622.4		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.5	✓	32	13.11	odd	12
273.2.by.c.97.5	yes	32	7.6	odd	2
273.2.by.d.76.5	yes	32	91.76	even	12	inner
273.2.by.d.97.5	yes	32	1.1	even	1	trivial
819.2.fm.e.370.4		32	3.2	odd	2
819.2.fm.e.622.4		32	273.167	odd	12
819.2.fm.f.370.4		32	21.20	even	2
819.2.fm.f.622.4		32	39.11	even	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0473445 + 0.176692i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.70307 - 0.983269i) q^{4} +(2.80040 + 2.80040i) q^{5} +(0.0473445 - 0.176692i) q^{6} +(-0.467560 - 2.60411i) q^{7} +(0.513062 + 0.513062i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.0473445 + 0.176692i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.70307 - 0.983269i) q^{4} +(2.80040 + 2.80040i) q^{5} +(0.0473445 - 0.176692i) q^{6} +(-0.467560 - 2.60411i) q^{7} +(0.513062 + 0.513062i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.362225 + 0.627392i) q^{10} +(-2.53602 + 0.679524i) q^{11} -1.96654 q^{12} +(1.37067 + 3.33485i) q^{13} +(0.437989 - 0.205904i) q^{14} +(-1.02502 - 3.82542i) q^{15} +(1.90018 - 3.29120i) q^{16} +(-1.43204 - 2.48037i) q^{17} +(-0.129347 + 0.129347i) q^{18} +(0.759707 - 2.83527i) q^{19} +(7.52284 + 2.01574i) q^{20} +(-0.897136 + 2.48901i) q^{21} +(-0.240133 - 0.415922i) q^{22} +(7.27090 + 4.19786i) q^{23} +(-0.187794 - 0.700855i) q^{24} +10.6845i q^{25} +(-0.524348 + 0.400074i) q^{26} -1.00000i q^{27} +(-3.35683 - 3.97525i) q^{28} +(1.66138 - 2.87760i) q^{29} +(0.627392 - 0.362225i) q^{30} +(-6.75045 - 6.75045i) q^{31} +(2.07320 + 0.555513i) q^{32} +(2.53602 + 0.679524i) q^{33} +(0.370463 - 0.370463i) q^{34} +(5.98320 - 8.60192i) q^{35} +(1.70307 + 0.983269i) q^{36} +(-6.77592 + 1.81560i) q^{37} +0.536937 q^{38} +(0.480389 - 3.57341i) q^{39} +2.87356i q^{40} +(-2.79099 + 0.747843i) q^{41} +(-0.482262 - 0.0406761i) q^{42} +(-2.43132 + 1.40372i) q^{43} +(-3.65087 + 3.65087i) q^{44} +(-1.02502 + 3.82542i) q^{45} +(-0.397491 + 1.48346i) q^{46} +(-4.85765 + 4.85765i) q^{47} +(-3.29120 + 1.90018i) q^{48} +(-6.56278 + 2.43516i) q^{49} +(-1.88787 + 0.505853i) q^{50} +2.86409i q^{51} +(5.61342 + 4.33176i) q^{52} -5.43259 q^{53} +(0.176692 - 0.0473445i) q^{54} +(-9.00481 - 5.19893i) q^{55} +(1.09618 - 1.57596i) q^{56} +(-2.07556 + 2.07556i) q^{57} +(0.587105 + 0.157314i) q^{58} +(-0.00666592 - 0.00178613i) q^{59} +(-5.50710 - 5.50710i) q^{60} +(5.65469 - 3.26474i) q^{61} +(0.873154 - 1.51235i) q^{62} +(2.02145 - 1.70697i) q^{63} -7.20808i q^{64} +(-5.50050 + 13.1774i) q^{65} +0.480266i q^{66} +(2.10207 + 7.84504i) q^{67} +(-4.87775 - 2.81617i) q^{68} +(-4.19786 - 7.27090i) q^{69} +(1.80316 + 0.649930i) q^{70} +(-14.5933 - 3.91026i) q^{71} +(-0.187794 + 0.700855i) q^{72} +(0.321617 - 0.321617i) q^{73} +(-0.641604 - 1.11129i) q^{74} +(5.34226 - 9.25307i) q^{75} +(-1.49399 - 5.57566i) q^{76} +(2.95530 + 6.28635i) q^{77} +(0.654136 - 0.0843000i) q^{78} +0.280448 q^{79} +(14.5379 - 3.89543i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.264276 - 0.457739i) q^{82} +(-2.42973 - 2.42973i) q^{83} +(0.919475 + 5.12108i) q^{84} +(2.93575 - 10.9564i) q^{85} +(-0.363136 - 0.363136i) q^{86} +(-2.87760 + 1.66138i) q^{87} +(-1.64977 - 0.952496i) q^{88} +(0.0536096 + 0.200074i) q^{89} -0.724450 q^{90} +(8.04346 - 5.12863i) q^{91} +16.5105 q^{92} +(2.47084 + 9.22129i) q^{93} +(-1.08829 - 0.628324i) q^{94} +(10.0674 - 5.81240i) q^{95} +(-1.51769 - 1.51769i) q^{96} +(0.197356 - 0.736543i) q^{97} +(-0.740984 - 1.04430i) q^{98} +(-1.85649 - 1.85649i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Introduction

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