LMFDB - Embedded newform 273.2.by.c.76.5

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			76.5
Character	$\chi$	$=$	273.76
Dual form			273.2.by.c.97.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0473445 - 0.176692i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.70307 + 0.983269i) q^{4} +(-2.80040 + 2.80040i) q^{5} +(-0.0473445 - 0.176692i) q^{6} +(1.70697 + 2.02145i) q^{7} +(0.513062 - 0.513062i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(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} +(1.70697 + 2.02145i) 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} +(2.48901 + 0.897136i) 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} +(0.919475 + 5.12108i) 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} +(-10.4411 - 0.880647i) 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} +(0.276357 - 0.397313i) 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} +(-1.17248 + 6.90111i) 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} +(1.91291 + 0.161343i) 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} +(2.60411 - 0.467560i) 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} +(-0.649930 + 1.80316i) 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} +(3.35683 + 3.97525i) 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} +(-9.08093 + 2.92177i) 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} +(1.16386 + 0.533897i) 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} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 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} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{7}{12}\right)$	$-1$

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	−0.947165	−	0.320747i	$-0.896066\pi$
$2$	0.0473445	−	0.176692i	0.0334776	−	0.124940i	0.980642	+	0.195807i	$0.0627327\pi$
$3$	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	−0.297728	+	0.954651i	$0.596229\pi$
$5$	−2.80040	+	2.80040i	−1.25238	+	1.25238i	−0.954651	+	0.297728i	$0.903771\pi$
$6$	−0.0473445	−	0.176692i	−0.0193283	−	0.0721342i
$7$	1.70697	+	2.02145i	0.645175	+	0.764034i
$7$	1.70697	+	2.02145i	0.645175	+	0.764034i
$8$	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	−0.144637	−	0.989485i	$-0.546201\pi$
$11$	−2.53602	−	0.679524i	−0.764638	−	0.204884i	−0.620001	+	0.784601i	$0.712868\pi$
$12$	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	$-0.720424\pi$
$17$	1.43204	−	2.48037i	0.347322	−	0.601579i	0.985773	+	0.168083i	$0.0537578\pi$
$18$	−0.129347	−	0.129347i	−0.0304875	−	0.0304875i
$19$	−0.759707	−	2.83527i	−0.174289	−	0.650455i	−0.996672	−	0.0815202i	$-0.974022\pi$
$19$	−0.759707	−	2.83527i	−0.174289	−	0.650455i	0.822383	−	0.568934i	$-0.192644\pi$
$20$	−7.52284	+	2.01574i	−1.68216	+	0.450733i
$21$	2.48901	+	0.897136i	0.543145	+	0.195771i
$22$	−0.240133	+	0.415922i	−0.0511965	+	0.0886749i
$23$	7.27090	−	4.19786i	1.51609	−	0.875314i	0.516266	−	0.856428i	$-0.327321\pi$
$23$	7.27090	−	4.19786i	1.51609	−	0.875314i	0.999822	−	0.0188857i	$-0.00601188\pi$
$24$	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
$28$	0.919475	+	5.12108i	0.173764	+	0.967794i
$29$	1.66138	+	2.87760i	0.308511	+	0.534356i	0.978037	−	0.208432i	$-0.0668361\pi$
$29$	1.66138	+	2.87760i	0.308511	+	0.534356i	−0.669526	+	0.742789i	$0.733503\pi$
$30$	0.627392	+	0.362225i	0.114546	+	0.0661330i
$31$	6.75045	−	6.75045i	1.21242	−	1.21242i	0.242188	−	0.970229i	$-0.422135\pi$
$31$	6.75045	−	6.75045i	1.21242	−	1.21242i	0.970229	−	0.242188i	$-0.0778651\pi$
$32$	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
$35$	−10.4411	−	0.880647i	−1.76486	−	0.148856i
$36$	1.70307	−	0.983269i	0.283845	−	0.163878i
$37$	−6.77592	−	1.81560i	−1.11395	−	0.298483i	−0.345519	−	0.938412i	$-0.612297\pi$
$37$	−6.77592	−	1.81560i	−1.11395	−	0.298483i	−0.768434	+	0.639929i	$0.778964\pi$
$38$	−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	$-0.344223\pi$
$41$	2.79099	+	0.747843i	0.435879	+	0.116793i	−0.0342056	+	0.999415i	$0.510890\pi$
$42$	0.276357	−	0.397313i	0.0426429	−	0.0613067i
$43$	−2.43132	−	1.40372i	−0.370773	−	0.214066i	0.303023	−	0.952983i	$-0.402004\pi$
$43$	−2.43132	−	1.40372i	−0.370773	−	0.214066i	−0.673796	+	0.738917i	$0.735337\pi$
$44$	−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	$-0.0829554\pi$
$47$	4.85765	+	4.85765i	0.708561	+	0.708561i	−0.257672	+	0.966232i	$0.582955\pi$
$48$	3.29120	+	1.90018i	0.475044	+	0.274267i
$49$	−1.17248	+	6.90111i	−0.167497	+	0.985873i
$50$	−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
$56$	1.91291	+	0.161343i	0.255623	+	0.0215604i
$57$	−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	$-0.583190\pi$
$59$	0.00666592	−	0.00178613i	0.000867829	−	0.000232534i	0.259253	+	0.965809i	$0.416524\pi$
$60$	−5.50710	+	5.50710i	−0.710964	+	0.710964i
$61$	−5.65469	−	3.26474i	−0.724009	−	0.418007i	0.0922177	−	0.995739i	$-0.470604\pi$
$61$	−5.65469	−	3.26474i	−0.724009	−	0.418007i	−0.816226	+	0.577732i	$0.803938\pi$
$62$	−0.873154	−	1.51235i	−0.110891	−	0.192068i
$63$	2.60411	−	0.467560i	0.328087	−	0.0589070i
$64$			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	−0.710266	−	0.703933i	$-0.751425\pi$
$67$	2.10207	−	7.84504i	0.256809	−	0.958424i	0.967075	−	0.254491i	$-0.0819079\pi$
$68$	4.87775	−	2.81617i	0.591514	−	0.341511i
$69$	4.19786	−	7.27090i	0.505363	−	0.875314i
$70$	−0.649930	+	1.80316i	−0.0776815	+	0.215519i
$71$	−14.5933	+	3.91026i	−1.73191	+	0.464063i	−0.980621	−	0.195914i	$-0.937233\pi$
$71$	−14.5933	+	3.91026i	−1.73191	+	0.464063i	−0.751286	+	0.659977i	$0.770566\pi$
$72$	−0.187794	−	0.700855i	−0.0221317	−	0.0825966i
$73$	−0.321617	−	0.321617i	−0.0376425	−	0.0376425i	0.688035	−	0.725677i	$-0.258474\pi$
$73$	−0.321617	−	0.321617i	−0.0376425	−	0.0376425i	−0.725677	+	0.688035i	$0.758474\pi$
$74$	−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	$-0.689610\pi$
$83$	2.42973	−	2.42973i	0.266698	−	0.266698i	0.827768	+	0.561070i	$0.189610\pi$
$84$	3.35683	+	3.97525i	0.366260	+	0.433735i
$85$	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	$-0.920161\pi$
$89$	−0.0536096	+	0.200074i	−0.00568261	+	0.0212078i	0.963026	+	0.269407i	$0.0868278\pi$
$90$	0.724450			0.0763638
$91$	−9.08093	+	2.92177i	−0.951940	+	0.306285i
$92$	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	$-0.0956586\pi$
$97$	−0.197356	−	0.736543i	−0.0200385	−	0.0747847i	−0.975221	+	0.221233i	$0.928992\pi$
$98$	1.16386	+	0.533897i	0.117568	+	0.0539318i
$99$	−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	$-0.188287\pi$
$101$	−0.682084	−	1.18140i	−0.0678699	−	0.117554i	−0.897963	+	0.440070i	$0.854954\pi$
$102$	−0.506062	−	0.135599i	−0.0501076	−	0.0134263i
$103$	4.43543			0.437036			0.218518	−	0.975833i	$-0.429878\pi$
$103$	4.43543			0.437036			0.218518	+	0.975833i	$0.429878\pi$
$104$	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	0.765080	−	0.643935i	$-0.222699\pi$
$107$	−1.81150	−	3.13761i	−0.175124	−	0.303324i	−0.940204	+	0.340611i	$0.889366\pi$
$108$	0.983269	−	1.70307i	0.0946151	−	0.163878i
$109$	11.1249	+	11.1249i	1.06557	+	1.06557i	0.997694	+	0.0678792i	$0.0216232\pi$
$109$	11.1249	+	11.1249i	1.06557	+	1.06557i	0.0678792	+	0.997694i	$0.478377\pi$
$110$	−0.492281	−	1.83722i	−0.0469372	−	0.175172i
$111$	−6.77592	+	1.81560i	−0.643142	+	0.172329i
$112$	−3.40943	+	9.45909i	−0.322161	+	0.893800i
$113$	−2.74763	+	4.75903i	−0.258475	+	0.447692i	−0.965834	−	0.259163i	$-0.916553\pi$
$113$	−2.74763	+	4.75903i	−0.258475	+	0.447692i	0.707358	+	0.706855i	$0.249887\pi$
$114$	−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
$119$	7.45840	−	1.33913i	0.683711	−	0.122758i
$120$	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
$126$	0.0406761	−	0.482262i	0.00362371	−	0.0429633i
$127$	8.80555	−	5.08389i	0.781367	−	0.451122i	−0.0555478	−	0.998456i	$-0.517691\pi$
$127$	8.80555	−	5.08389i	0.781367	−	0.451122i	0.836914	+	0.547334i	$0.184357\pi$
$128$	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
$133$	4.43453	−	6.37543i	0.384523	−	0.552820i
$134$	−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	−0.962643	−	0.270773i	$-0.912721\pi$
$137$	−3.09421	−	11.5477i	−0.264356	−	0.986590i	0.698287	−	0.715818i	$-0.253946\pi$
$138$	−1.08596	−	1.08596i	−0.0924435	−	0.0924435i
$139$	−14.4291	−	8.33062i	−1.22386	−	0.706594i	−0.258119	−	0.966113i	$-0.583103\pi$
$139$	−14.4291	−	8.33062i	−1.22386	−	0.706594i	−0.965738	+	0.259519i	$0.916436\pi$
$140$	−16.9160	−	11.7662i	−1.42966	−	0.994425i
$141$	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
$147$	2.43516	+	6.56278i	0.200848	+	0.541289i
$148$	−9.75465	−	9.75465i	−0.801827	−	0.801827i
$149$	14.7603	−	3.95502i	1.20921	−	0.324008i	0.402761	−	0.915305i	$-0.368051\pi$
$149$	14.7603	−	3.95502i	1.20921	−	0.324008i	0.806454	+	0.591297i	$0.201384\pi$
$150$	−1.88787	+	0.505853i	−0.154144	+	0.0413027i
$151$	−7.50367	+	7.50367i	−0.610640	+	0.610640i	−0.943113	−	0.332473i	$-0.892117\pi$
$151$	−7.50367	+	7.50367i	−0.610640	+	0.610640i	0.332473	+	0.943113i	$0.392117\pi$
$152$	−1.84444	−	1.06489i	−0.149604	−	0.0863740i
$153$	−1.43204	−	2.48037i	−0.115774	−	0.200526i
$154$	−1.25066	+	0.224553i	−0.100781	+	0.0180950i
$155$			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
$161$	20.8970	+	7.53210i	1.64691	+	0.593612i
$162$	−0.176692	+	0.0473445i	−0.0138822	+	0.00371973i
$163$	−1.07320	−	4.00525i	−0.0840598	−	0.313716i	0.911075	−	0.412241i	$-0.135254\pi$
$163$	−1.07320	−	4.00525i	−0.0840598	−	0.313716i	−0.995134	+	0.0985258i	$0.968587\pi$
$164$	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	0.671551	+	0.740958i	$0.265628\pi$
$167$	−3.62497	+	13.5286i	−0.280508	+	1.04687i	−0.952059	+	0.305913i	$0.901038\pi$
$168$	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	−0.415265	−	0.909701i	$-0.636311\pi$
$173$	7.63123	−	13.2177i	0.580192	−	1.00492i	0.995456	−	0.0952206i	$-0.0303556\pi$
$174$	0.429791	−	0.429791i	0.0325824	−	0.0325824i
$175$	21.5982	−	18.2382i	1.63267	−	1.37868i
$176$	−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	−0.217302	−	0.976104i	$-0.569726\pi$
$179$	6.94881	−	4.01190i	0.519379	−	0.299863i	0.736680	+	0.676241i	$0.236392\pi$
$180$	−2.01574	+	7.52284i	−0.150244	+	0.560719i
$181$	−9.08130			−0.675008			−0.337504	−	0.941324i	$-0.609583\pi$
$181$	−9.08130			−0.675008			−0.337504	+	0.941324i	$0.609583\pi$
$182$	0.0863213	+	1.74286i	0.00639856	+	0.129189i
$183$	−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
$189$	2.02145	−	1.70697i	0.147038	−	0.124164i
$190$	1.50364	−	1.50364i	0.109085	−	0.109085i
$191$	−10.2571	+	17.7658i	−0.742179	+	1.28549i	0.209323	+	0.977847i	$0.432874\pi$
$191$	−10.2571	+	17.7658i	−0.742179	+	1.28549i	−0.951501	+	0.307645i	$0.900459\pi$
$192$	3.60404	+	6.24238i	0.260099	+	0.450505i
$193$	14.0081	+	3.75346i	1.00832	+	0.270180i	0.724929	−	0.688823i	$-0.241872\pi$
$193$	14.0081	+	3.75346i	1.00832	+	0.270180i	0.283396	+	0.959003i	$0.408539\pi$
$194$	−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	−0.576022	−	0.817434i	$-0.695396\pi$
$197$	4.65346	−	17.3669i	0.331545	−	1.23734i	0.907567	−	0.419908i	$-0.137938\pi$
$198$	0.240133	+	0.415922i	0.0170655	+	0.0295583i
$199$	−1.63893	+	2.83871i	−0.116181	+	0.201231i	−0.918251	−	0.395999i	$-0.870399\pi$
$199$	−1.63893	+	2.83871i	−0.116181	+	0.201231i	0.802070	+	0.597230i	$0.203732\pi$
$200$	−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
$203$	−2.98097	+	8.27037i	−0.209223	+	0.580466i
$204$	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
$210$	0.338724	+	1.88655i	0.0233742	+	0.130184i
$211$	12.5254	+	21.6946i	0.862283	+	1.49352i	0.869719	+	0.493546i	$0.164300\pi$
$211$	12.5254	+	21.6946i	0.862283	+	1.49352i	−0.00743594	+	0.999972i	$0.502367\pi$
$212$	−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
$217$	25.1685	+	2.12282i	1.70855	+	0.144107i
$218$	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	$-0.525016\pi$
$223$	−9.63125	−	2.58069i	−0.644956	−	0.172816i	−0.566447	+	0.824098i	$0.691683\pi$
$224$	4.66184	+	3.24262i	0.311482	+	0.216657i
$225$	−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	−0.959757	−	0.280833i	$-0.909389\pi$
$227$	−4.05289	−	15.1256i	−0.269000	−	1.00392i	0.690757	−	0.723087i	$-0.257278\pi$
$228$	−1.49399	−	5.57566i	−0.0989421	−	0.369257i
$229$	1.59130	+	1.59130i	0.105156	+	0.105156i	0.757727	−	0.652571i	$-0.226310\pi$
$229$	1.59130	+	1.59130i	0.105156	+	0.105156i	−0.652571	+	0.757727i	$0.726310\pi$
$230$	5.26741	+	3.04114i	0.347323	+	0.200527i
$231$	−5.70254	−	3.96649i	−0.375199	−	0.260976i
$232$	2.32878	+	0.623994i	0.152892	+	0.0409672i
$233$			8.49682i			0.556645i	0.960488	+	0.278323i	$0.0897784\pi$
$233$			8.49682i			0.556645i	−0.960488	+	0.278323i	$0.910222\pi$
$234$	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
$238$	0.116500	−	1.38124i	0.00755157	−	0.0895325i
$239$	−6.87958	−	6.87958i	−0.445003	−	0.445003i	0.448686	−	0.893689i	$-0.351892\pi$
$239$	−6.87958	−	6.87958i	−0.445003	−	0.445003i	−0.893689	+	0.448686i	$0.851892\pi$
$240$	−14.5379	+	3.89543i	−0.938420	+	0.251449i
$241$	−19.8128	+	5.30883i	−1.27626	+	0.341972i	−0.832424	−	0.554139i	$-0.813048\pi$
$241$	−19.8128	+	5.30883i	−1.27626	+	0.341972i	−0.443831	+	0.896110i	$0.646381\pi$
$242$	−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
$245$	−16.0425	−	22.6093i	−1.02492	−	1.44446i
$246$		−	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	$-0.921983\pi$
$251$	−4.35546	+	7.54388i	−0.274914	+	0.476165i	0.695199	+	0.718817i	$0.255316\pi$
$252$	4.89472	+	1.76425i	0.308339	+	0.111137i
$253$	−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	$-0.309641\pi$
$257$	−6.96099	−	12.0568i	−0.434215	−	0.752082i	−0.997231	+	0.0743637i	$0.976307\pi$
$258$	−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	0.652633	−	0.757674i	$-0.273664\pi$
$263$	−5.34924	−	9.26516i	−0.329848	−	0.571314i	−0.982482	+	0.186360i	$0.940331\pi$
$264$	−0.952496	+	1.64977i	−0.0586221	+	0.101536i
$265$	15.2134	−	15.2134i	0.934555	−	0.934555i
$266$	−0.916537	−	1.08539i	−0.0561965	−	0.0665494i
$267$	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	$-0.423991\pi$
$269$	−7.98188	−	4.60834i	−0.486664	−	0.280976i	−0.723189	+	0.690650i	$0.757325\pi$
$270$	0.627392	−	0.362225i	0.0381819	−	0.0220443i
$271$	0.262832	−	0.980903i	0.0159659	−	0.0595856i	−0.957483	−	0.288489i	$-0.906847\pi$
$271$	0.262832	−	0.980903i	0.0159659	−	0.0595856i	0.973449	+	0.228903i	$0.0735139\pi$
$272$	10.8845			0.659972
$273$	−6.40343	+	7.07079i	−0.387553	+	0.427944i
$274$	−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	0.523706	−	0.851899i	$-0.324549\pi$
$277$	0.795438	+	0.459247i	0.0477933	+	0.0275935i	−0.475913	+	0.879492i	$0.657882\pi$
$278$	−2.15509	+	2.15509i	−0.129254	+	0.129254i
$279$	−2.47084	−	9.22129i	−0.147925	−	0.552064i
$280$	−5.80874	+	4.90509i	−0.347139	+	0.293135i
$281$	3.41893	−	3.41893i	0.203956	−	0.203956i	−0.597737	−	0.801693i	$-0.703933\pi$
$281$	3.41893	−	3.41893i	0.203956	−	0.203956i	0.801693	+	0.597737i	$0.203933\pi$
$282$	0.628324	−	1.08829i	0.0374162	−	0.0648067i
$283$	−7.94500	−	13.7611i	−0.472281	−	0.818015i	0.527216	−	0.849731i	$-0.323236\pi$
$283$	−7.94500	−	13.7611i	−0.472281	−	0.818015i	−0.999497	+	0.0317167i	$0.989903\pi$
$284$	−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	$-0.441191\pi$
$293$	14.2807	−	3.82651i	0.834288	−	0.223547i	0.650584	+	0.759435i	$0.274524\pi$
$294$	1.27488	−	0.119561i	0.0743526	−	0.00697296i
$295$	−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
$301$	−1.31265	−	7.31090i	−0.0756599	−	0.421393i
$302$	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	$-0.0895234\pi$
$307$	11.9699	+	11.9699i	0.683157	+	0.683157i	−0.277553	+	0.960710i	$0.589523\pi$
$308$	1.14809	−	13.6120i	0.0654187	−	0.775613i
$309$	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	$-0.717898\pi$
$311$	−22.3022			−1.26464			−0.632322	+	0.774706i	$0.717898\pi$
$312$	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
$315$	−5.98320	+	8.60192i	−0.337115	+	0.484663i
$316$	0.477624	+	0.275756i	0.0268684	+	0.0155125i
$317$	3.88719	+	3.88719i	0.218327	+	0.218327i	0.807793	−	0.589466i	$-0.200662\pi$
$317$	3.88719	+	3.88719i	0.218327	+	0.218327i	−0.589466	+	0.807793i	$0.700662\pi$
$318$	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
$322$	2.32022	−	3.33573i	0.129301	−	0.185893i
$323$	−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
$329$	−1.52759	+	18.1113i	−0.0842188	+	0.998510i
$330$	−1.34494	−	1.34494i	−0.0740364	−	0.0740364i
$331$	−17.6440	+	4.72770i	−0.969802	+	0.259858i	−0.708744	−	0.705466i	$-0.750738\pi$
$331$	−17.6440	+	4.72770i	−0.969802	+	0.259858i	−0.261058	+	0.965323i	$0.584071\pi$
$332$	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
$336$	1.77689	+	9.89653i	0.0969374	+	0.539900i
$337$		−	12.4905i		−	0.680402i	−0.940353	−	0.340201i	$-0.889505\pi$
$337$		−	12.4905i		−	0.680402i	0.940353	−	0.340201i	$-0.110495\pi$
$338$	−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
$343$	−15.9516	+	9.40990i	−0.861306	+	0.508087i
$344$	−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	−0.929454	−	0.368939i	$-0.879721\pi$
$347$	−2.70509	+	4.68534i	−0.145217	+	0.251522i	0.784237	+	0.620461i	$0.213055\pi$
$348$	3.26717	+	5.65891i	0.175139	+	0.303349i
$349$	1.60376	−	5.98531i	0.0858472	−	0.320386i	−0.909626	−	0.415428i	$-0.863632\pi$
$349$	1.60376	−	5.98531i	0.0858472	−	0.320386i	0.995473	+	0.0950418i	$0.0302985\pi$
$350$	−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	$-0.805425\pi$
$353$	−34.1022	−	9.13766i	−1.81508	−	0.486348i	−0.996159	+	0.0875628i	$0.972092\pi$
$354$	−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
$357$	5.78960	−	4.88893i	0.306418	−	0.258749i
$358$	−0.379882	−	1.41774i	−0.0200774	−	0.0749299i
$359$	7.81387	−	7.81387i	0.412400	−	0.412400i	−0.470174	−	0.882574i	$-0.655809\pi$
$359$	7.81387	−	7.81387i	0.412400	−	0.412400i	0.882574	+	0.470174i	$0.155809\pi$
$360$	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
$364$	−18.3384	−	3.95301i	−0.961191	−	0.207194i
$365$	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	$-0.865805\pi$
$367$	−19.4308	+	11.2184i	−1.01428	+	0.585593i	−0.101836	+	0.994801i	$0.532472\pi$
$368$	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
$371$	−9.27329	−	10.9817i	−0.481445	−	0.570141i
$372$	13.2750	−	13.2750i	0.688278	−	0.688278i
$373$	−3.45623	+	5.98637i	−0.178957	+	0.309962i	−0.941523	−	0.336947i	$-0.890606\pi$
$373$	−3.45623	+	5.98637i	−0.178957	+	0.309962i	0.762567	+	0.646910i	$0.223939\pi$
$374$	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	−0.887735	−	0.460356i	$-0.847722\pi$
$379$	2.16569	−	8.08246i	0.111244	−	0.415168i	0.998979	+	0.0451875i	$0.0143885\pi$
$380$	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	$-0.0653300\pi$
$383$	0.572661	+	2.13720i	0.0292616	+	0.109206i	−0.949750	+	0.313008i	$0.898663\pi$
$384$	5.42001	−	1.45229i	0.276589	−	0.0741118i
$385$	25.8803	+	9.32830i	1.31898	+	0.475414i
$386$	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	$-0.783738\pi$
$389$		−	24.7852i		−	1.25666i	0.777946	−	0.628331i	$-0.216262\pi$
$390$	−2.06792	+	1.59577i	−0.104713	+	0.0808050i
$391$		−	24.0461i		−	1.21606i
$392$	2.93914	+	4.14225i	0.148449	+	0.209215i
$393$	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	$-0.683777\pi$
$397$	−11.9456	+	3.20082i	−0.599534	+	0.160645i	−0.0537271	+	0.998556i	$0.517110\pi$
$398$	0.423983	+	0.423983i	0.0212524	+	0.0212524i
$399$	0.652704	−	7.73855i	0.0326761	−	0.387412i
$400$	35.1649	−	20.3025i	1.75824	−	1.01512i
$401$	−27.4395	−	7.35239i	−1.37026	−	0.367161i	−0.502688	−	0.864468i	$-0.667656\pi$
$401$	−27.4395	−	7.35239i	−1.37026	−	0.367161i	−0.867575	+	0.497307i	$0.834322\pi$
$402$	−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
$406$	1.32018	+	0.918270i	0.0655192	+	0.0455730i
$407$	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	0.815592	+	0.578628i	$0.196412\pi$
$409$	8.06083	+	30.0834i	0.398583	+	1.48753i	−0.417009	+	0.908902i	$0.636922\pi$
$410$	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
$413$	0.0149891	+	0.0104259i	0.000737566	+	0.000513026i
$414$	−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	$-0.523461\pi$
$419$	15.4180	−	8.90159i	0.753219	−	0.434871i	0.826856	+	0.562414i	$0.190127\pi$
$420$	−20.5328	−	1.73183i	−1.00190	−	0.0845044i
$421$	−7.27536	−	7.27536i	−0.354579	−	0.354579i	0.507231	−	0.861810i	$-0.330669\pi$
$421$	−7.27536	−	7.27536i	−0.354579	−	0.354579i	−0.861810	+	0.507231i	$0.830669\pi$
$422$	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
$427$	−3.05292	−	17.0035i	−0.147741	−	0.822855i
$428$		−	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	0.663165	+	0.748473i	$0.269213\pi$
$431$	−5.92484	+	22.1118i	−0.285389	+	1.06509i	−0.948554	+	0.316615i	$0.897454\pi$
$432$	3.29120	−	1.90018i	0.158348	−	0.0914222i
$433$	−3.70820	+	6.42278i	−0.178205	+	0.308659i	−0.941266	−	0.337667i	$-0.890362\pi$
$433$	−3.70820	+	6.42278i	−0.178205	+	0.308659i	0.763061	+	0.646326i	$0.223696\pi$
$434$	1.56668	−	4.34657i	0.0752029	−	0.208642i
$435$	−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	0.852758	+	0.522306i	$0.174928\pi$
$439$	18.4110	+	31.8888i	0.878709	+	1.52197i	0.0259510	+	0.999663i	$0.491739\pi$
$440$	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
$448$	−14.5707	+	12.3040i	−0.688403	+	0.581310i
$449$	−1.26128	−	4.70715i	−0.0595234	−	0.222144i	0.929757	−	0.368174i	$-0.120017\pi$
$449$	−1.26128	−	4.70715i	−0.0595234	−	0.222144i	−0.989280	+	0.146030i	$0.953350\pi$
$450$	−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
$455$	17.2481	−	33.6124i	0.808605	−	1.57577i
$456$	−2.12978			−0.0997361
$457$	−1.32032	+	4.92751i	−0.0617621	+	0.230499i	−0.989907	−	0.141721i	$-0.954737\pi$
$457$	−1.32032	+	4.92751i	−0.0617621	+	0.230499i	0.928145	+	0.372220i	$0.121403\pi$
$458$	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	$-0.0195588\pi$
$461$	2.21189	+	8.25490i	0.103018	+	0.384469i	−0.895095	+	0.445876i	$0.852892\pi$
$462$	−0.970831	+	0.819801i	−0.0451671	+	0.0381406i
$463$	0.176712	−	0.176712i	0.00821253	−	0.00821253i	−0.702989	−	0.711201i	$-0.748152\pi$
$463$	0.176712	−	0.176712i	0.00821253	−	0.00821253i	0.711201	+	0.702989i	$0.248152\pi$
$464$	−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	$-0.317993\pi$
$467$	23.3883			1.08228			0.541140	+	0.840932i	$0.317993\pi$
$468$	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
$476$	14.0189	+	5.05298i	0.642557	+	0.231603i
$477$	−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	−0.427924	−	0.903815i	$-0.640755\pi$
$479$	8.63573	−	32.2290i	0.394577	−	1.47258i	0.822500	−	0.568765i	$-0.192579\pi$
$480$			8.50029i			0.387983i
$481$	15.3423	−	20.1081i	0.699550	−	0.916851i
$482$			3.75211i			0.170904i
$483$	21.8634	−	3.92550i	0.994817	−	0.178616i
$484$	−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	−0.574243	−	0.818685i	$-0.694704\pi$
$487$	−14.6137	+	3.91573i	−0.662211	+	0.177439i	−0.0879671	+	0.996123i	$0.528037\pi$
$488$	−4.57622	+	1.22619i	−0.207156	+	0.0555072i
$489$	−2.93205	−	2.93205i	−0.132592	−	0.132592i
$490$	−4.75440	+	1.76415i	−0.214782	+	0.0796961i
$491$	−11.7579	+	6.78843i	−0.530627	+	0.306357i	−0.741272	−	0.671205i	$-0.765777\pi$
$491$	−11.7579	+	6.78843i	−0.530627	+	0.306357i	0.210645	+	0.977563i	$0.432444\pi$
$492$	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
$497$	−32.8148	−	22.8248i	−1.47194	−	1.02383i
$498$	−0.544349	−	0.314280i	−0.0243928	−	0.0140832i
$499$	9.45211	+	9.45211i	0.423135	+	0.423135i	0.886282	−	0.463147i	$-0.153280\pi$
$499$	9.45211	+	9.45211i	0.423135	+	0.423135i	−0.463147	+	0.886282i	$0.653280\pi$
$500$	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	$-0.343207\pi$
$503$	−1.20476	−	0.695570i	−0.0537177	−	0.0310140i	−0.526618	+	0.850102i	$0.676540\pi$
$504$	1.09618	−	1.57596i	0.0488278	−	0.0701987i
$505$	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	$-0.244140\pi$
$509$	22.4834	+	6.02441i	0.996559	+	0.267027i	0.276556	+	0.960998i	$0.410807\pi$
$510$	1.79691	−	1.03745i	0.0795684	−	0.0459389i
$511$	0.101139	−	1.19912i	0.00447415	−	0.0530461i
$512$	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
$518$	−3.34162	+	0.599977i	−0.146822	+	0.0263615i
$519$		−	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	$-0.685104\pi$
$523$	−2.29311	+	1.32393i	−0.100271	+	0.0578914i	0.449026	+	0.893519i	$0.351771\pi$
$524$	−19.1964	+	33.2491i	−0.838598	+	1.45249i
$525$	9.58547	−	26.5938i	0.418344	−	1.16065i
$526$	−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
$539$	7.66290	−	16.7046i	0.330064	−	0.719518i
$540$	2.01574	+	7.52284i	0.0867436	+	0.323732i
$541$	−22.5427	+	22.5427i	−0.969185	+	0.969185i	−0.999539	−	0.0303542i	$-0.990336\pi$
$541$	−22.5427	+	22.5427i	−0.969185	+	0.969185i	0.0303542	+	0.999539i	$0.490336\pi$
$542$	−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
$546$	0.946185	+	1.46620i	0.0404930	+	0.0627475i
$547$	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
$553$	0.478718	+	0.566911i	0.0203572	+	0.0241075i
$554$	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	0.152589	−	0.988290i	$-0.451239\pi$
$557$	−4.94226	−	1.32427i	−0.209410	−	0.0561113i	−0.361999	+	0.932178i	$0.617906\pi$
$558$	−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	$-0.694549\pi$
$563$	10.0206	−	17.3563i	0.422320	−	0.731480i	0.996166	+	0.0874837i	$0.0278826\pi$
$564$	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
$567$	0.897136	−	2.48901i	0.0376762	−	0.104528i
$568$	−5.48106	+	9.49347i	−0.229980	+	0.398337i
$569$	−29.3938	+	16.9705i	−1.23225	+	0.711441i	−0.967499	−	0.252875i	$-0.918624\pi$
$569$	−29.3938	+	16.9705i	−1.23225	+	0.711441i	−0.264754	+	0.964316i	$0.585291\pi$
$570$	0.550370	−	2.05401i	0.0230525	−	0.0860330i
$571$			19.5735i			0.819124i	0.912282	+	0.409562i	$0.134319\pi$
$571$			19.5735i			0.819124i	−0.912282	+	0.409562i	$0.865681\pi$
$572$	17.1793	−	7.17096i	0.718301	−	0.299833i
$573$			20.5142i			0.856994i
$574$	1.37641	−	0.247129i	0.0574500	−	0.0103150i
$575$	−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	0.453345	−	0.891335i	$-0.350231\pi$
$577$	32.3003	−	32.3003i	1.34468	−	1.34468i	0.891335	−	0.453345i	$-0.149769\pi$
$578$	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
$581$	9.05906	+	0.764081i	0.375833	+	0.0316994i
$582$	−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	$-0.328503\pi$
$587$	12.7987	+	3.42941i	0.528260	+	0.141547i	0.0151751	+	0.999885i	$0.495169\pi$
$588$	−2.30573	+	13.5713i	−0.0950867	+	0.559671i
$589$	−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	−0.977735	−	0.209843i	$-0.932705\pi$
$593$	−28.9194	−	28.9194i	−1.18758	−	1.18758i	−0.209843	−	0.977735i	$-0.567295\pi$
$594$	0.415922	+	0.240133i	0.0170655	+	0.00985277i
$595$	−17.1364	+	24.6367i	−0.702525	+	1.01000i
$596$	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	$-0.890610\pi$
$601$	−27.4693	+	15.8594i	−1.12050	+	0.646919i	−0.178969	+	0.983855i	$0.557276\pi$
$602$	−1.35392	−	0.114196i	−0.0551818	−	0.00465428i
$603$	−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	$-0.150445\pi$
$607$	23.1914	+	13.3895i	0.941309	+	0.543465i	0.0509383	+	0.998702i	$0.483779\pi$
$608$	−3.15005	−	5.45605i	−0.127752	−	0.221272i
$609$	1.55359	+	8.65284i	0.0629547	+	0.350631i
$610$		−	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	−0.578663	−	0.815567i	$-0.696425\pi$
$613$	8.17678	−	30.5162i	0.330257	−	1.23254i	0.908920	−	0.416970i	$-0.136908\pi$
$614$	2.68169	−	1.54827i	0.108224	−	0.0624833i
$615$	−5.72163	+	9.91015i	−0.230718	+	0.399616i
$616$	−4.74154	−	1.70904i	−0.191042	−	0.0688591i
$617$	35.9374	−	9.62939i	1.44678	−	0.387665i	0.551880	−	0.833923i	$-0.313911\pi$
$617$	35.9374	−	9.62939i	1.44678	−	0.387665i	0.894904	+	0.446259i	$0.147244\pi$
$618$	−0.209993	−	0.783706i	−0.00844717	−	0.0315253i
$619$	−13.9520	−	13.9520i	−0.560777	−	0.560777i	0.368751	−	0.929528i	$-0.379785\pi$
$619$	−13.9520	−	13.9520i	−0.560777	−	0.560777i	−0.929528	+	0.368751i	$0.879785\pi$
$620$	−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
$630$	1.23662	+	1.46444i	0.0492680	+	0.0583446i
$631$	−2.16532	−	8.08109i	−0.0862001	−	0.321703i	0.909339	−	0.416057i	$-0.136588\pi$
$631$	−2.16532	−	8.08109i	−0.0862001	−	0.321703i	−0.995539	+	0.0943536i	$0.969922\pi$
$632$	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
$637$	−21.4071	−	13.3692i	−0.848180	−	0.529708i
$638$	−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	0.0572524	−	0.998360i	$-0.481766\pi$
$641$	−19.7158	−	11.3829i	−0.778726	−	0.449598i	−0.835979	+	0.548762i	$0.815099\pi$
$642$	−0.468626	+	0.468626i	−0.0184952	+	0.0184952i
$643$	3.68359	+	13.7474i	0.145267	+	0.542143i	0.999743	+	0.0226531i	$0.00721132\pi$
$643$	3.68359	+	13.7474i	0.145267	+	0.542143i	−0.854477	+	0.519490i	$0.826122\pi$
$644$	28.1830	+	33.3751i	1.11057	+	1.31516i
$645$	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	0.837783	+	0.546003i	$0.183851\pi$
$647$	22.6826	+	39.2874i	0.891744	+	1.54455i	0.0539612	+	0.998543i	$0.482815\pi$
$648$	−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	0.952547	−	0.304391i	$-0.0984529\pi$
$653$	5.43437	+	9.41260i	0.212663	+	0.368344i	−0.739884	+	0.672735i	$0.765120\pi$
$654$	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
$658$	3.12781	+	1.12738i	0.121935	+	0.0439500i
$659$	−4.13172	+	7.15635i	−0.160949	+	0.278772i	−0.935209	−	0.354096i	$-0.884789\pi$
$659$	−4.13172	+	7.15635i	−0.160949	+	0.278772i	0.774260	+	0.632867i	$0.218122\pi$
$660$	17.7083	−	10.2239i	0.689295	−	0.397965i
$661$	−0.844712	+	3.15251i	−0.0328555	+	0.122618i	−0.980406	−	0.196988i	$-0.936884\pi$
$661$	−0.844712	+	3.15251i	−0.0328555	+	0.122618i	0.947550	+	0.319606i	$0.103551\pi$
$662$			3.34138i			0.129867i
$663$	9.55132	+	3.92573i	0.370943	+	0.152463i
$664$		−	2.49321i		−	0.0967552i
$665$	5.43529	+	30.2723i	0.210772	+	1.17391i
$666$	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
$672$	5.65858	+	0.477270i	0.218285	+	0.0184111i
$673$	−29.2655	+	16.8964i	−1.12810	+	0.651310i	−0.943457	−	0.331495i	$-0.892447\pi$
$673$	−29.2655	+	16.8964i	−1.12810	+	0.651310i	−0.184645	+	0.982805i	$0.559114\pi$
$674$	−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
$679$	1.15200	−	1.65621i	0.0442097	−	0.0635593i
$680$	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	−0.996249	−	0.0865317i	$-0.972422\pi$
$683$	−4.61892	−	17.2380i	−0.176738	−	0.659595i	0.819511	−	0.573063i	$-0.194245\pi$
$684$	−4.08167	−	4.08167i	−0.156066	−	0.156066i
$685$	41.0034	+	23.6733i	1.56666	+	0.904511i
$686$	0.907434	+	3.26403i	0.0346460	+	0.124621i
$687$	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	$-0.608345\pi$
$691$	−28.7650	−	7.70756i	−1.09427	−	0.293209i	−0.760430	+	0.649420i	$0.775012\pi$
$692$	25.9931	−	15.0071i	0.988108	−	0.570484i
$693$	−6.92179	−	0.583814i	−0.262937	−	0.0221773i
$694$	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
$700$	54.7163	−	9.82415i	2.06808	−	0.371318i
$701$			23.3038i			0.880172i	0.897956	+	0.440086i	$0.145052\pi$
$701$			23.3038i			0.880172i	−0.897956	+	0.440086i	$0.854948\pi$
$702$	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
$707$	1.22384	−	3.39542i	0.0460274	−	0.127698i
$708$	0.0131088	−	0.00351249i	0.000492659	−	0.000132007i
$709$	2.40630	+	8.98045i	0.0903706	+	0.337268i	0.996277	−	0.0862104i	$-0.0274757\pi$
$709$	2.40630	+	8.98045i	0.0903706	+	0.337268i	−0.905906	+	0.423478i	$0.860809\pi$
$710$	−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	$-0.928159\pi$
$719$	−7.87045	+	13.6320i	−0.293518	+	0.508388i	0.681121	+	0.732171i	$0.261493\pi$
$720$	−10.6425	+	10.6425i	−0.396623	+	0.396623i
$721$	7.57117	+	8.96599i	0.281965	+	0.333911i
$722$	−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	$-0.533831\pi$
$727$	−5.72068			−0.212168			−0.106084	+	0.994357i	$0.533831\pi$
$728$	−3.16003	+	6.15813i	−0.117118	+	0.228235i
$729$	−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	$-0.855927\pi$
$733$	−12.5077	+	12.5077i	−0.461982	+	0.461982i	0.437322	+	0.899305i	$0.355927\pi$
$734$	1.06225	+	3.96439i	0.0392085	+	0.146328i
$735$	−25.1978	−	11.5590i	−0.929436	−	0.426360i
$736$	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	0.830933	−	0.556372i	$-0.187807\pi$
$739$	34.5884	+	9.26794i	1.27236	+	0.340927i	0.441423	+	0.897299i	$0.354474\pi$
$740$	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	−0.986267	−	0.165160i	$-0.947186\pi$
$743$	−1.35076	+	5.04112i	−0.0495547	+	0.184941i	0.936712	+	0.350101i	$0.113853\pi$
$744$	−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
$749$	3.25032	−	9.01766i	0.118764	−	0.329498i
$750$	2.05908	−	3.56642i	0.0751868	−	0.130227i
$751$	24.9221	−	14.3888i	0.909421	−	0.525055i	0.0291764	−	0.999574i	$-0.490712\pi$
$751$	24.9221	−	14.3888i	0.909421	−	0.525055i	0.880245	+	0.474520i	$0.157378\pi$
$752$	−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
$756$	5.12108	−	0.919475i	0.186252	−	0.0334410i
$757$	8.90997	+	15.4325i	0.323838	+	0.560905i	0.981277	−	0.192604i	$-0.0616933\pi$
$757$	8.90997	+	15.4325i	0.323838	+	0.560905i	−0.657438	+	0.753508i	$0.728360\pi$
$758$	−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	0.918872	−	0.394556i	$-0.129101\pi$
$761$	52.7426	−	14.1323i	1.91192	−	0.512296i	0.993044	−	0.117741i	$-0.0375652\pi$
$762$	−1.31518	−	1.31518i	−0.0476438	−	0.0476438i
$763$	−3.49846	+	41.4783i	−0.126653	+	1.50162i
$764$	−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	$-0.274548\pi$
$769$	23.1319	+	6.19819i	0.834159	+	0.223512i	0.183632	+	0.982995i	$0.441215\pi$
$770$	2.87353	−	4.13120i	0.103555	−	0.148878i
$771$	−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	−0.871150	−	0.491017i	$-0.836625\pi$
$773$	−10.0708	−	37.5846i	−0.362221	−	1.35183i	0.508929	−	0.860808i	$-0.330042\pi$
$774$	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
$777$	−15.2365	−	10.5980i	−0.546605	−	0.380200i
$778$	−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
$784$	−24.9408	+	9.25444i	−0.890744	+	0.330516i
$785$	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	$-0.476689\pi$
$787$	17.8194	−	4.77470i	0.635194	−	0.170200i	0.562026	+	0.827120i	$0.310022\pi$
$788$	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
$791$	−14.3103	+	2.56936i	−0.508814	+	0.0913561i
$792$			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	$-0.828317\pi$
$797$	0.444897	−	0.770584i	0.0157591	−	0.0272955i	0.873797	+	0.486290i	$0.161650\pi$
$798$	−1.33644	−	0.481705i	−0.0473094	−	0.0170522i
$799$	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	0.928317	+	0.371790i	$0.121256\pi$
$809$	22.3601	+	38.7288i	0.786138	+	1.36163i	−0.142179	+	0.989841i	$0.545411\pi$
$810$	0.362225	−	0.627392i	0.0127273	−	0.0220443i
$811$	28.1862	−	28.1862i	0.989753	−	0.989753i	−0.0101954	−	0.999948i	$-0.503245\pi$
$811$	28.1862	−	28.1862i	0.989753	−	0.989753i	0.999948	+	0.0101954i	$0.00324535\pi$
$812$	−13.2088	+	11.1539i	−0.463538	+	0.391427i
$813$	−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
$819$	−2.01014	+	9.32520i	−0.0702399	+	0.325849i
$820$	−22.5036			−0.785860
$821$	0.320911	−	1.19766i	0.0111999	−	0.0417986i	−0.960100	−	0.279658i	$-0.909779\pi$
$821$	0.320911	−	1.19766i	0.0111999	−	0.0417986i	0.971300	+	0.237859i	$0.0764457\pi$
$822$	−1.89390	+	1.09344i	−0.0660573	+	0.0381382i
$823$	−25.3229	−	14.6202i	−0.882701	−	0.509628i	−0.0111531	−	0.999938i	$-0.503550\pi$
$823$	−25.3229	−	14.6202i	−0.882701	−	0.509628i	−0.871548	+	0.490310i	$0.836884\pi$
$824$	2.27565	−	2.27565i	0.0792761	−	0.0792761i
$825$	7.26039	+	27.0961i	0.252774	+	0.943366i
$826$	0.00255183	−	0.00215485i	8.87895e−5	−	7.49767e-5i
$827$	−27.0221	+	27.0221i	−0.939649	+	0.939649i	−0.998280	−	0.0586310i	$-0.981326\pi$
$827$	−27.0221	+	27.0221i	−0.939649	+	0.939649i	0.0586310	+	0.998280i	$0.481326\pi$
$828$	8.25525	−	14.2985i	0.286890	−	0.496908i
$829$	−9.30153	−	16.1107i	−0.323055	−	0.559548i	0.658061	−	0.752964i	$-0.271377\pi$
$829$	−9.30153	−	16.1107i	−0.323055	−	0.559548i	−0.981117	+	0.193416i	$0.938043\pi$
$830$	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	$-0.683425\pi$
$839$	−17.3070	+	4.63740i	−0.597504	+	0.160101i	−0.0526236	+	0.998614i	$0.516758\pi$
$840$	−2.57797	+	7.15231i	−0.0889486	+	0.246778i
$841$	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
$847$	−1.92020	−	10.6947i	−0.0659790	−	0.367475i
$848$	−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	0.955455	+	0.295137i	$0.0953652\pi$
$853$	36.5250	+	36.5250i	1.25059	+	1.25059i	0.295137	+	0.955455i	$0.404635\pi$
$854$	−3.14891	−	0.265593i	−0.107754	−	0.00908842i
$855$	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	$-0.283293\pi$
$857$	36.8519			1.25884			0.629418	+	0.777067i	$0.283293\pi$
$858$	−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
$861$	6.27586	+	4.36528i	0.213881	+	0.148768i
$862$	3.62647	+	2.09374i	0.123518	+	0.0713132i
$863$	−0.584660	−	0.584660i	−0.0199021	−	0.0199021i	0.697086	−	0.716988i	$-0.254480\pi$
$863$	−0.584660	−	0.584660i	−0.0199021	−	0.0199021i	−0.716988	+	0.697086i	$0.754480\pi$
$864$	−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
$868$	40.7765	+	28.3628i	1.38404	+	0.962695i
$869$	−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
$875$	−5.00605	+	59.3525i	−0.169236	+	2.00648i
$876$	−0.632473	−	0.632473i	−0.0213693	−	0.0213693i
$877$	24.9512	−	6.68566i	0.842543	−	0.225759i	0.188365	−	0.982099i	$-0.439681\pi$
$877$	24.9512	−	6.68566i	0.842543	−	0.225759i	0.654178	+	0.756340i	$0.273015\pi$
$878$	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	−0.998110	−	0.0614526i	$-0.980427\pi$
$881$	−16.3924	−	28.3925i	−0.552275	−	0.956568i	0.445835	−	0.895115i	$-0.352907\pi$
$882$	1.04430	−	0.740984i	0.0351634	−	0.0249502i
$883$		−	51.9581i		−	1.74853i	−0.485450	−	0.874265i	$-0.661344\pi$
$883$		−	51.9581i		−	1.74853i	0.485450	−	0.874265i	$-0.338656\pi$
$884$	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	$-0.851665\pi$
$887$	−28.3210	+	16.3512i	−0.950928	+	0.549018i	−0.0575587	+	0.998342i	$0.518332\pi$
$888$	−2.54495	+	4.40798i	−0.0854029	+	0.147922i
$889$	25.3077	+	9.12188i	0.848791	+	0.305938i
$890$	−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
$903$	−4.79224	−	5.67510i	−0.159476	−	0.188856i
$904$	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	−0.762395	−	0.647111i	$-0.775977\pi$
$907$	−17.5633	+	10.1402i	−0.583178	+	0.336698i	0.179217	+	0.983810i	$0.442644\pi$
$908$	7.97016	−	29.7451i	0.264499	−	0.987124i
$909$	−1.36417			−0.0452466
$910$	−5.12244	−	4.63897i	−0.169807	−	0.153780i
$911$	−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
$917$	−39.4647	+	33.3253i	−1.30324	+	1.10050i
$918$	−0.370463	+	0.370463i	−0.0122271	+	0.0122271i
$919$	17.0100	−	29.4622i	0.561108	−	0.971867i	−0.436293	−	0.899805i	$-0.643709\pi$
$919$	17.0100	−	29.4622i	0.561108	−	0.971867i	0.997400	−	0.0720619i	$-0.0229579\pi$
$920$	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	$-0.118627\pi$
$929$	−1.74577	−	6.51529i	−0.0572768	−	0.213760i	−0.988633	+	0.150350i	$0.951960\pi$
$930$	6.68037	−	1.79000i	0.219058	−	0.0586964i
$931$	20.4572	−	1.91853i	0.670458	−	0.0628772i
$932$	−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	$-0.207753\pi$
$938$	−0.694643	−	3.86887i	−0.0226809	−	0.126323i
$939$	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	−0.319981	+	0.947424i	$0.603677\pi$
$941$	−38.8786	+	38.8786i	−1.26741	+	1.26741i	−0.947424	+	0.319981i	$0.896323\pi$
$942$	−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
$945$	−0.880647	+	10.4411i	−0.0286474	+	0.339648i
$946$	1.16768	−	0.674160i	0.0379646	−	0.0219188i
$947$	−20.0773	−	5.37969i	−0.652424	−	0.174816i	−0.0825993	−	0.996583i	$-0.526322\pi$
$947$	−20.0773	−	5.37969i	−0.652424	−	0.174816i	−0.569824	+	0.821766i	$0.692989\pi$
$948$	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
$952$	3.13956	−	4.51368i	0.101754	−	0.146289i
$953$	23.9622	+	13.8346i	0.776212	+	0.448146i	0.835086	−	0.550119i	$-0.185418\pi$
$953$	23.9622	+	13.8346i	0.776212	+	0.448146i	−0.0588741	+	0.998265i	$0.518751\pi$
$954$	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
$959$	18.0614	−	25.9665i	0.583233	−	0.838501i
$960$	−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
$966$	0.341505	−	4.04893i	0.0109877	−	0.130272i
$967$	9.79059	+	9.79059i	0.314844	+	0.314844i	0.846783	−	0.531939i	$-0.178536\pi$
$967$	9.79059	+	9.79059i	0.314844	+	0.314844i	−0.531939	+	0.846783i	$0.678536\pi$
$968$	−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	$-0.221949\pi$
$971$	18.5031	+	10.6828i	0.593792	+	0.342826i	−0.172803	+	0.984956i	$0.555283\pi$
$972$	−0.983269	−	1.70307i	−0.0315384	−	0.0546261i
$973$	−7.79013	−	43.3877i	−0.249740	−	1.39095i
$974$			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	0.649473	+	0.760384i	$0.274989\pi$
$977$	−9.16391	+	34.2002i	−0.293179	+	1.09416i	−0.942653	+	0.333776i	$0.891677\pi$
$978$	−0.656885	+	0.379253i	−0.0210049	+	0.0121272i
$979$	0.271910	−	0.470962i	0.00869028	−	0.0150520i
$980$	−5.09045	−	54.2793i	−0.162608	−	1.73389i
$981$	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	$-0.0879570\pi$
$983$	21.6097	+	21.6097i	0.689243	+	0.689243i	−0.272822	+	0.962065i	$0.587957\pi$
$984$	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	0.872530	−	0.488560i	$-0.162478\pi$
$991$	0.414264	+	0.717526i	0.0131595	+	0.0227930i	−0.859371	+	0.511353i	$0.829144\pi$
$992$	10.2451	−	17.7450i	0.325282	−	0.563405i
$993$	−12.9163	+	12.9163i	−0.409886	+	0.409886i
$994$	−5.58656	+	4.71748i	−0.177195	+	0.149629i
$995$	−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	$-0.560403\pi$
$997$	−35.7880	−	20.6622i	−1.13342	−	0.654379i	−0.944792	+	0.327671i	$0.893736\pi$
$998$	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.c.76.5	✓	32
3.2	odd	2		819.2.fm.f.622.4		32
7.6	odd	2		273.2.by.d.76.5	yes	32
13.6	odd	12		273.2.by.d.97.5	yes	32
21.20	even	2		819.2.fm.e.622.4		32
39.32	even	12		819.2.fm.e.370.4		32
91.6	even	12	inner	273.2.by.c.97.5	yes	32
273.188	odd	12		819.2.fm.f.370.4		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.5	✓	32	1.1	even	1	trivial
273.2.by.c.97.5	yes	32	91.6	even	12	inner
273.2.by.d.76.5	yes	32	7.6	odd	2
273.2.by.d.97.5	yes	32	13.6	odd	12
819.2.fm.e.370.4		32	39.32	even	12
819.2.fm.e.622.4		32	21.20	even	2
819.2.fm.f.370.4		32	273.188	odd	12
819.2.fm.f.622.4		32	3.2	odd	2

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)

\(f(q)\)	\(=\)	\(q+(0.0473445 - 0.176692i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.70307 + 0.983269i) q^{4} +(-2.80040 + 2.80040i) q^{5} +(-0.0473445 - 0.176692i) q^{6} +(1.70697 + 2.02145i) q^{7} +(0.513062 - 0.513062i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(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} +(1.70697 + 2.02145i) 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} +(2.48901 + 0.897136i) 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} +(0.919475 + 5.12108i) 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} +(-10.4411 - 0.880647i) 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} +(0.276357 - 0.397313i) 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} +(-1.17248 + 6.90111i) 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} +(1.91291 + 0.161343i) 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} +(2.60411 - 0.467560i) 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} +(-0.649930 + 1.80316i) 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} +(3.35683 + 3.97525i) 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} +(-9.08093 + 2.92177i) 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} +(1.16386 + 0.533897i) 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	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) \) 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Introduction

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