LMFDB - Embedded newform 336.2.bo.a.173.58

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(5,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 6, 10]))

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

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

chi := DirichletCharacter("336.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bo (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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			173.58
Character	$\chi$	$=$	336.173
Dual form			336.2.bo.a.101.58

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.40633 + 0.149073i) q^{2} +(-0.893497 - 1.48380i) q^{3} +(1.95555 + 0.419293i) q^{4} +(1.00001 + 3.73210i) q^{5} +(-1.03536 - 2.21992i) q^{6} +(-0.762031 + 2.53364i) q^{7} +(2.68766 + 0.881188i) q^{8} +(-1.40333 + 2.65154i) q^{9} +O(q^{10})$	\(q+(1.40633 + 0.149073i) q^{2} +(-0.893497 - 1.48380i) q^{3} +(1.95555 + 0.419293i) q^{4} +(1.00001 + 3.73210i) q^{5} +(-1.03536 - 2.21992i) q^{6} +(-0.762031 + 2.53364i) q^{7} +(2.68766 + 0.881188i) q^{8} +(-1.40333 + 2.65154i) q^{9} +(0.849998 + 5.39766i) q^{10} +(0.319834 - 1.19364i) q^{11} +(-1.12513 - 3.27629i) q^{12} +(-0.320762 + 0.320762i) q^{13} +(-1.44937 + 3.44954i) q^{14} +(4.64419 - 4.81845i) q^{15} +(3.64839 + 1.63990i) q^{16} +(-1.71763 - 2.97503i) q^{17} +(-2.36882 + 3.51976i) q^{18} +(-1.12636 - 4.20362i) q^{19} +(0.390735 + 7.71763i) q^{20} +(4.44028 - 1.13310i) q^{21} +(0.627732 - 1.63097i) q^{22} +(4.70952 - 8.15713i) q^{23} +(-1.09391 - 4.77529i) q^{24} +(-8.59845 + 4.96432i) q^{25} +(-0.498916 + 0.403282i) q^{26} +(5.18823 - 0.286891i) q^{27} +(-2.55253 + 4.63515i) q^{28} +(5.16220 - 5.16220i) q^{29} +(7.24958 - 6.08402i) q^{30} +(-5.03270 + 2.90563i) q^{31} +(4.88639 + 2.85013i) q^{32} +(-2.05689 + 0.591941i) q^{33} +(-1.97207 - 4.43994i) q^{34} +(-10.2178 - 0.310306i) q^{35} +(-3.85605 + 4.59683i) q^{36} +(1.63060 + 6.08550i) q^{37} +(-0.957388 - 6.07961i) q^{38} +(0.762546 + 0.189347i) q^{39} +(-0.600987 + 10.9118i) q^{40} +0.676691i q^{41} +(6.41344 - 0.931584i) q^{42} +(2.93868 - 2.93868i) q^{43} +(1.12594 - 2.20012i) q^{44} +(-11.2992 - 2.58578i) q^{45} +(7.83918 - 10.7696i) q^{46} +(-0.930896 + 1.61236i) q^{47} +(-0.826535 - 6.87872i) q^{48} +(-5.83862 - 3.86142i) q^{49} +(-12.8323 + 5.69969i) q^{50} +(-2.87965 + 5.20680i) q^{51} +(-0.761761 + 0.492774i) q^{52} +(0.982408 - 3.66640i) q^{53} +(7.33915 + 0.369960i) q^{54} +4.77461 q^{55} +(-4.28069 + 6.13806i) q^{56} +(-5.23094 + 5.42721i) q^{57} +(8.02932 - 6.49023i) q^{58} +(0.261933 + 0.0701848i) q^{59} +(11.1023 - 7.47546i) q^{60} +(1.02615 + 3.82963i) q^{61} +(-7.51081 + 3.33605i) q^{62} +(-5.64867 - 5.57607i) q^{63} +(6.44702 + 4.73666i) q^{64} +(-1.51788 - 0.876350i) q^{65} +(-2.98092 + 0.525840i) q^{66} +(0.308303 - 1.15060i) q^{67} +(-2.11151 - 6.53802i) q^{68} +(-16.3115 + 0.300385i) q^{69} +(-14.3234 - 1.95960i) q^{70} -9.39773 q^{71} +(-6.10817 + 5.88985i) q^{72} +(-2.06610 - 3.57859i) q^{73} +(1.38599 + 8.80133i) q^{74} +(15.0487 + 8.32278i) q^{75} +(-0.440101 - 8.69268i) q^{76} +(2.78052 + 1.71993i) q^{77} +(1.04417 + 0.379960i) q^{78} +(-5.02696 + 8.70695i) q^{79} +(-2.47185 + 15.2561i) q^{80} +(-5.06135 - 7.44195i) q^{81} +(-0.100876 + 0.951654i) q^{82} +(3.58644 + 3.58644i) q^{83} +(9.15831 - 0.354048i) q^{84} +(9.38546 - 9.38546i) q^{85} +(4.57085 - 3.69469i) q^{86} +(-12.2721 - 3.04726i) q^{87} +(1.91142 - 2.92625i) q^{88} +(-8.44647 - 4.87657i) q^{89} +(-15.5050 - 5.32087i) q^{90} +(-0.568263 - 1.05712i) q^{91} +(12.6300 - 13.9770i) q^{92} +(8.80807 + 4.87134i) q^{93} +(-1.54951 + 2.12874i) q^{94} +(14.5620 - 8.40736i) q^{95} +(-0.136952 - 9.79700i) q^{96} +3.50602i q^{97} +(-7.63542 - 6.30082i) q^{98} +(2.71615 + 2.52311i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) $ 240 * q - 6 * q^3 - 4 * q^4	$ 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) $ 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	1.40633	+	0.149073i	0.994429	+	0.105411i
$2$	1.40633	+	0.149073i	0.994429	+	0.105411i
$3$	−0.893497	−	1.48380i	−0.515861	−	0.856672i
$3$	−0.893497	−	1.48380i	−0.515861	−	0.856672i
$4$	1.95555	+	0.419293i	0.977777	+	0.209647i
$5$	1.00001	+	3.73210i	0.447220	+	1.66905i	0.710007	+	0.704194i	$0.248692\pi$
$5$	1.00001	+	3.73210i	0.447220	+	1.66905i	−0.262787	+	0.964854i	$0.584642\pi$
$6$	−1.03536	−	2.21992i	−0.422684	−	0.906277i
$7$	−0.762031	+	2.53364i	−0.288021	+	0.957624i
$7$	−0.762031	+	2.53364i	−0.288021	+	0.957624i
$8$	2.68766	+	0.881188i	0.950231	+	0.311547i
$9$	−1.40333	+	2.65154i	−0.467775	+	0.883847i
$10$	0.849998	+	5.39766i	0.268793	+	1.70689i
$11$	0.319834	−	1.19364i	0.0964335	−	0.359895i	−0.900799	−	0.434236i	$-0.857019\pi$
$11$	0.319834	−	1.19364i	0.0964335	−	0.359895i	0.997233	+	0.0743407i	$0.0236852\pi$
$12$	−1.12513	−	3.27629i	−0.324798	−	0.945783i
$13$	−0.320762	+	0.320762i	−0.0889633	+	0.0889633i	−0.750188	−	0.661225i	$-0.770037\pi$
$13$	−0.320762	+	0.320762i	−0.0889633	+	0.0889633i	0.661225	+	0.750188i	$0.270037\pi$
$14$	−1.44937	+	3.44954i	−0.387360	+	0.921929i
$15$	4.64419	−	4.81845i	1.19912	−	1.24412i
$16$	3.64839	+	1.63990i	0.912096	+	0.409976i
$17$	−1.71763	−	2.97503i	−0.416587	−	0.721550i	0.579006	−	0.815323i	$-0.303441\pi$
$17$	−1.71763	−	2.97503i	−0.416587	−	0.721550i	−0.995594	+	0.0937728i	$0.970107\pi$
$18$	−2.36882	+	3.51976i	−0.558336	+	0.829615i
$19$	−1.12636	−	4.20362i	−0.258404	−	0.964377i	−0.966165	−	0.257925i	$-0.916961\pi$
$19$	−1.12636	−	4.20362i	−0.258404	−	0.964377i	0.707761	−	0.706452i	$-0.249705\pi$
$20$	0.390735	+	7.71763i	0.0873711	+	1.72572i
$21$	4.44028	−	1.13310i	0.968949	−	0.247262i
$22$	0.627732	−	1.63097i	0.133833	−	0.347725i
$23$	4.70952	−	8.15713i	0.982004	−	1.70088i	0.327443	−	0.944871i	$-0.393813\pi$
$23$	4.70952	−	8.15713i	0.982004	−	1.70088i	0.654561	−	0.756009i	$-0.272853\pi$
$24$	−1.09391	−	4.77529i	−0.223293	−	0.974751i
$25$	−8.59845	+	4.96432i	−1.71969	+	0.992863i
$26$	−0.498916	+	0.403282i	−0.0978454	+	0.0790900i
$27$	5.18823	−	0.286891i	0.998475	−	0.0552122i
$28$	−2.55253	+	4.63515i	−0.482383	+	0.875961i
$29$	5.16220	−	5.16220i	0.958596	−	0.958596i	−0.0405800	−	0.999176i	$-0.512921\pi$
$29$	5.16220	−	5.16220i	0.958596	−	0.958596i	0.999176	+	0.0405800i	$0.0129206\pi$
$30$	7.24958	−	6.08402i	1.32359	−	1.11079i
$31$	−5.03270	+	2.90563i	−0.903899	+	0.521866i	−0.878463	−	0.477810i	$-0.841431\pi$
$31$	−5.03270	+	2.90563i	−0.903899	+	0.521866i	−0.0254357	+	0.999676i	$0.508097\pi$
$32$	4.88639	+	2.85013i	0.863799	+	0.503836i
$33$	−2.05689	+	0.591941i	−0.358058	+	0.103044i
$34$	−1.97207	−	4.43994i	−0.338207	−	0.761443i
$35$	−10.2178	−	0.310306i	−1.72713	−	0.0524513i
$36$	−3.85605	+	4.59683i	−0.642676	+	0.766138i
$37$	1.63060	+	6.08550i	0.268070	+	1.00045i	0.960345	+	0.278816i	$0.0899420\pi$
$37$	1.63060	+	6.08550i	0.268070	+	1.00045i	−0.692275	+	0.721634i	$0.743391\pi$
$38$	−0.957388	−	6.07961i	−0.155309	−	0.986243i
$39$	0.762546	+	0.189347i	0.122105	+	0.0303197i
$40$	−0.600987	+	10.9118i	−0.0950244	+	1.72531i
$41$			0.676691i			0.105681i	0.998603	+	0.0528407i	$0.0168276\pi$
$41$			0.676691i			0.105681i	−0.998603	+	0.0528407i	$0.983172\pi$
$42$	6.41344	−	0.931584i	0.989615	−	0.143747i
$43$	2.93868	−	2.93868i	0.448145	−	0.448145i	−0.446593	−	0.894737i	$-0.647363\pi$
$43$	2.93868	−	2.93868i	0.448145	−	0.448145i	0.894737	+	0.446593i	$0.147363\pi$
$44$	1.12594	−	2.20012i	0.169741	−	0.331680i
$45$	−11.2992	−	2.58578i	−1.68438	−	0.385465i
$46$	7.83918	−	10.7696i	1.15582	−	1.58789i
$47$	−0.930896	+	1.61236i	−0.135785	+	0.235187i	−0.925897	−	0.377776i	$-0.876689\pi$
$47$	−0.930896	+	1.61236i	−0.135785	+	0.235187i	0.790112	+	0.612963i	$0.210022\pi$
$48$	−0.826535	−	6.87872i	−0.119300	−	0.992858i
$49$	−5.83862	−	3.86142i	−0.834088	−	0.551631i
$50$	−12.8323	+	5.69969i	−1.81477	+	0.806058i
$51$	−2.87965	+	5.20680i	−0.403231	+	0.729098i
$52$	−0.761761	+	0.492774i	−0.105637	+	0.0683355i
$53$	0.982408	−	3.66640i	0.134944	−	0.503618i	−0.865054	−	0.501679i	$-0.832716\pi$
$53$	0.982408	−	3.66640i	0.134944	−	0.503618i	0.999998	−	0.00193952i	$-0.000617369\pi$
$54$	7.33915	+	0.369960i	0.998732	+	0.0503452i
$55$	4.77461			0.643809
$56$	−4.28069	+	6.13806i	−0.572031	+	0.820232i
$57$	−5.23094	+	5.42721i	−0.692854	+	0.718852i
$58$	8.02932	−	6.49023i	1.05430	−	0.852209i
$59$	0.261933	+	0.0701848i	0.0341008	+	0.00913728i	0.275829	−	0.961207i	$-0.411048\pi$
$59$	0.261933	+	0.0701848i	0.0341008	+	0.00913728i	−0.241728	+	0.970344i	$0.577714\pi$
$60$	11.1023	−	7.47546i	1.43330	−	0.965077i
$61$	1.02615	+	3.82963i	0.131385	+	0.490334i	0.999987	−	0.00517655i	$-0.00164776\pi$
$61$	1.02615	+	3.82963i	0.131385	+	0.490334i	−0.868602	+	0.495510i	$0.834981\pi$
$62$	−7.51081	+	3.33605i	−0.953873	+	0.423678i
$63$	−5.64867	−	5.57607i	−0.711665	−	0.702519i
$64$	6.44702	+	4.73666i	0.805877	+	0.592083i
$65$	−1.51788	−	0.876350i	−0.188270	−	0.108698i
$66$	−2.98092	+	0.525840i	−0.366925	+	0.0647265i
$67$	0.308303	−	1.15060i	0.0376652	−	0.140568i	−0.944533	−	0.328417i	$-0.893485\pi$
$67$	0.308303	−	1.15060i	0.0376652	−	0.140568i	0.982198	+	0.187849i	$0.0601515\pi$
$68$	−2.11151	−	6.53802i	−0.256059	−	0.792851i
$69$	−16.3115	+	0.300385i	−1.96367	+	0.0361621i
$70$	−14.3234	−	1.95960i	−1.71198	−	0.234217i
$71$	−9.39773			−1.11531			−0.557653	−	0.830074i	$-0.688298\pi$
$71$	−9.39773			−1.11531			−0.557653	+	0.830074i	$0.688298\pi$
$72$	−6.10817	+	5.88985i	−0.719854	+	0.694125i
$73$	−2.06610	−	3.57859i	−0.241819	−	0.418843i	0.719413	−	0.694582i	$-0.244411\pi$
$73$	−2.06610	−	3.57859i	−0.241819	−	0.418843i	−0.961232	+	0.275739i	$0.911077\pi$
$74$	1.38599	+	8.80133i	0.161118	+	1.02313i
$75$	15.0487	+	8.32278i	1.73768	+	0.961031i
$76$	−0.440101	−	8.69268i	−0.0504831	−	0.997119i
$77$	2.78052	+	1.71993i	0.316869	+	0.196004i
$78$	1.04417	+	0.379960i	0.118229	+	0.0430220i
$79$	−5.02696	+	8.70695i	−0.565577	+	0.979608i	0.431419	+	0.902152i	$0.358013\pi$
$79$	−5.02696	+	8.70695i	−0.565577	+	0.979608i	−0.996996	+	0.0774563i	$0.975320\pi$
$80$	−2.47185	+	15.2561i	−0.276361	+	1.70568i
$81$	−5.06135	−	7.44195i	−0.562373	−	0.826884i
$82$	−0.100876	+	0.951654i	−0.0111399	+	0.105093i
$83$	3.58644	+	3.58644i	0.393662	+	0.393662i	0.875991	−	0.482328i	$-0.160209\pi$
$83$	3.58644	+	3.58644i	0.393662	+	0.393662i	−0.482328	+	0.875991i	$0.660209\pi$
$84$	9.15831	−	0.354048i	0.999254	−	0.0386298i
$85$	9.38546	−	9.38546i	1.01800	−	1.01800i
$86$	4.57085	−	3.69469i	0.492887	−	0.398409i
$87$	−12.2721	−	3.04726i	−1.31571	−	0.326701i
$88$	1.91142	−	2.92625i	0.203758	−	0.311940i
$89$	−8.44647	−	4.87657i	−0.895324	−	0.516916i	−0.0196441	−	0.999807i	$-0.506253\pi$
$89$	−8.44647	−	4.87657i	−0.895324	−	0.516916i	−0.875680	+	0.482891i	$0.839587\pi$
$90$	−15.5050	−	5.32087i	−1.63437	−	0.560869i
$91$	−0.568263	−	1.05712i	−0.0595702	−	0.110817i
$92$	12.6300	−	13.9770i	1.31676	−	1.45721i
$93$	8.80807	+	4.87134i	0.913354	+	0.505135i
$94$	−1.54951	+	2.12874i	−0.159820	+	0.219563i
$95$	14.5620	−	8.40736i	1.49403	−	0.862577i
$96$	−0.136952	−	9.79700i	−0.0139776	−	0.999902i
$97$			3.50602i			0.355982i	0.984032	+	0.177991i	$0.0569598\pi$
$97$			3.50602i			0.355982i	−0.984032	+	0.177991i	$0.943040\pi$
$98$	−7.63542	−	6.30082i	−0.771294	−	0.636479i
$99$	2.71615	+	2.52311i	0.272983	+	0.253582i
$100$	−18.8962	+	6.10272i	−1.88962	+	0.610272i
$101$	10.8291	+	2.90166i	1.07754	+	0.288726i	0.753587	−	0.657348i	$-0.228322\pi$
$101$	10.8291	+	2.90166i	1.07754	+	0.288726i	0.323951	+	0.946074i	$0.394989\pi$
$102$	−4.82594	+	6.89323i	−0.477839	+	0.682531i
$103$	4.53520	−	7.85519i	0.446866	−	0.773995i	−0.551314	−	0.834298i	$-0.685873\pi$
$103$	4.53520	−	7.85519i	0.446866	−	0.773995i	0.998180	+	0.0603028i	$0.0192066\pi$
$104$	−1.14475	+	0.579447i	−0.112252	+	0.0568195i
$105$	8.66917	+	15.4385i	0.846025	+	1.50664i
$106$	1.92816	−	5.00973i	0.187279	−	0.486588i
$107$	5.80699	−	1.55598i	0.561383	−	0.150422i	0.0330412	−	0.999454i	$-0.489481\pi$
$107$	5.80699	−	1.55598i	0.561383	−	0.150422i	0.528342	+	0.849032i	$0.322814\pi$
$108$	10.2662	+	1.61436i	0.987861	+	0.155342i
$109$	2.60227	−	9.71180i	0.249252	−	0.930222i	−0.721946	−	0.691949i	$-0.756752\pi$
$109$	2.60227	−	9.71180i	0.249252	−	0.930222i	0.971198	−	0.238273i	$-0.0765812\pi$
$110$	6.71470	+	0.711767i	0.640222	+	0.0678643i
$111$	7.57272	−	7.85687i	0.718771	−	0.745741i
$112$	−6.93510	+	7.99402i	−0.655305	+	0.755364i
$113$			9.40028i			0.884304i	0.896940	+	0.442152i	$0.145785\pi$
$113$			9.40028i			0.884304i	−0.896940	+	0.442152i	$0.854215\pi$
$114$	−8.16550	+	6.85268i	−0.764769	+	0.641813i
$115$	35.1529	+	9.41918i	3.27802	+	0.878343i
$116$	12.2594	−	7.93048i	1.13826	−	0.736327i
$117$	−0.400380	−	1.30065i	−0.0370152	−	0.120245i
$118$	0.357903	+	0.137751i	0.0329477	+	0.0126810i
$119$	8.84652	−	2.08479i	0.810960	−	0.191113i
$120$	16.7279	−	8.85794i	1.52705	−	0.808615i
$121$	8.20381	+	4.73647i	0.745801	+	0.430588i
$122$	0.872210	+	5.53871i	0.0789662	+	0.501451i
$123$	1.00407	−	0.604622i	0.0905343	−	0.0545169i
$124$	−11.0600	+	3.57194i	−0.993219	+	0.320769i
$125$	−13.4655	−	13.4655i	−1.20439	−	1.20439i
$126$	−7.11267	−	8.68389i	−0.633647	−	0.773622i
$127$	−19.5964			−1.73890			−0.869452	−	0.494018i	$-0.835528\pi$
$127$	−19.5964			−1.73890			−0.869452	+	0.494018i	$0.835528\pi$
$128$	8.36055	+	7.62241i	0.738976	+	0.673732i
$129$	−6.98612	−	1.73471i	−0.615094	−	0.152733i
$130$	−2.00401	−	1.45872i	−0.175763	−	0.127938i
$131$	2.57918	−	0.691090i	0.225344	−	0.0603808i	−0.144380	−	0.989522i	$-0.546119\pi$
$131$	2.57918	−	0.691090i	0.225344	−	0.0603808i	0.369724	+	0.929141i	$0.379452\pi$
$132$	−4.27055	+	0.295133i	−0.371704	+	0.0256880i
$133$	11.5088	+	0.349510i	0.997936	+	0.0303064i
$134$	0.605101	−	1.57217i	0.0522727	−	0.135815i
$135$	6.25901	+	19.0761i	0.538690	+	1.64181i
$136$	−1.99485	−	9.50941i	−0.171057	−	0.815426i
$137$	−3.13704	−	5.43351i	−0.268015	−	0.464216i	0.700334	−	0.713815i	$-0.253034\pi$
$137$	−3.13704	−	5.43351i	−0.268015	−	0.464216i	−0.968349	+	0.249599i	$0.919701\pi$
$138$	−22.9842	−	2.00917i	−1.95655	−	0.171032i
$139$	−2.87026	−	2.87026i	−0.243452	−	0.243452i	0.574824	−	0.818277i	$-0.305070\pi$
$139$	−2.87026	−	2.87026i	−0.243452	−	0.243452i	−0.818277	+	0.574824i	$0.805070\pi$
$140$	−19.8514	−	4.89109i	−1.67775	−	0.413373i
$141$	3.22417	−	0.0593748i	0.271524	−	0.00500026i
$142$	−13.2164	−	1.40095i	−1.10909	−	0.117565i
$143$	0.280282	+	0.485463i	0.0234384	+	0.0405965i
$144$	−9.46814	+	7.37253i	−0.789012	+	0.614378i
$145$	24.4281	+	14.1036i	2.02865	+	1.17124i
$146$	−2.37216	−	5.34070i	−0.196321	−	0.442000i
$147$	−0.512781	+	12.1135i	−0.0422934	+	0.999105i
$148$	0.637126	+	12.5842i	0.0523714	+	1.03442i
$149$	−19.1047	+	5.11908i	−1.56511	+	0.419371i	−0.934278	−	0.356545i	$-0.883955\pi$
$149$	−19.1047	+	5.11908i	−1.56511	+	0.419371i	−0.630836	+	0.775916i	$0.717288\pi$
$150$	19.9229	+	13.9480i	1.62670	+	1.13885i
$151$	−14.8452	+	8.57091i	−1.20809	+	0.697491i	−0.962342	−	0.271843i	$-0.912367\pi$
$151$	−14.8452	+	8.57091i	−1.20809	+	0.697491i	−0.245748	+	0.969334i	$0.579033\pi$
$152$	0.676916	−	12.2904i	0.0549052	−	0.996885i
$153$	10.2988	−	0.379444i	0.832609	−	0.0306763i
$154$	3.65394	+	2.83330i	0.294443	+	0.228314i
$155$	−15.8769	−	15.8769i	−1.27526	−	1.27526i
$156$	1.41181	+	0.690009i	0.113035	+	0.0552449i
$157$	0.164195	+	0.0439960i	0.0131042	+	0.00351126i	0.265365	−	0.964148i	$-0.414507\pi$
$157$	0.164195	+	0.0439960i	0.0131042	+	0.00351126i	−0.252261	+	0.967659i	$0.581174\pi$
$158$	−8.36756	+	11.4955i	−0.665687	+	0.914533i
$159$	−6.31798	+	1.81822i	−0.501048	+	0.144194i
$160$	−5.75052	+	21.0867i	−0.454618	+	1.66705i
$161$	17.0784	+	18.1482i	1.34597	+	1.43028i
$162$	−6.00856	−	11.2204i	−0.472077	−	0.881557i
$163$	−16.2679	+	4.35897i	−1.27420	+	0.341421i	−0.831639	−	0.555317i	$-0.812597\pi$
$163$	−16.2679	+	4.35897i	−1.27420	+	0.341421i	−0.442561	+	0.896738i	$0.645930\pi$
$164$	−0.283732	+	1.32331i	−0.0221558	+	0.103333i
$165$	−4.26610	−	7.08457i	−0.332116	−	0.551533i
$166$	4.50909	+	5.57837i	0.349973	+	0.432965i
$167$		−	3.82117i		−	0.295691i	−0.989010	−	0.147845i	$-0.952766\pi$
$167$		−	3.82117i		−	0.295691i	0.989010	−	0.147845i	$-0.0472338\pi$
$168$	12.9324	+	0.867348i	0.997759	+	0.0669174i
$169$			12.7942i			0.984171i
$170$	14.5982	−	11.8000i	1.11963	−	0.905017i
$171$	12.7267	+	2.91247i	0.973237	+	0.222722i
$172$	6.97893	−	4.51458i	0.532138	−	0.344234i
$173$	19.9019	−	5.33270i	1.51311	−	0.405438i	0.595646	−	0.803247i	$-0.296896\pi$
$173$	19.9019	−	5.33270i	1.51311	−	0.405438i	0.917468	+	0.397810i	$0.130230\pi$
$174$	−16.8044	−	6.11491i	−1.27394	−	0.463570i
$175$	−6.02549	−	25.5683i	−0.455484	−	1.93278i
$176$	3.12432	−	3.83035i	0.235505	−	0.288723i
$177$	−0.129896	−	0.451366i	−0.00976361	−	0.0339268i
$178$	−11.1516	−	8.11724i	−0.835848	−	0.608413i
$179$	−4.38705	−	1.17551i	−0.327904	−	0.0878615i	0.0911117	−	0.995841i	$-0.470958\pi$
$179$	−4.38705	−	1.17551i	−0.327904	−	0.0878615i	−0.419015	+	0.907979i	$0.637625\pi$
$180$	−21.0120	−	9.79430i	−1.56614	−	0.730024i
$181$	−11.2922	−	11.2922i	−0.839345	−	0.839345i	0.149428	−	0.988773i	$-0.452257\pi$
$181$	−11.2922	−	11.2922i	−0.839345	−	0.839345i	−0.988773	+	0.149428i	$0.952257\pi$
$182$	−0.641580	−	1.57138i	−0.0475570	−	0.116479i
$183$	4.76555	−	4.94436i	0.352279	−	0.365497i
$184$	19.8456	−	17.7736i	1.46303	−	1.31029i
$185$	−21.0811	+	12.1712i	−1.54991	+	0.894843i
$186$	11.6609	+	8.16379i	0.855019	+	0.598598i
$187$	−4.10046	+	1.09871i	−0.299855	+	0.0803459i
$188$	−2.49647	+	2.76274i	−0.182074	+	0.201493i
$189$	−3.22671	+	13.3637i	−0.234709	+	0.972066i
$190$	21.7323	−	9.65277i	1.57663	−	0.700285i
$191$	−9.92834	−	5.73213i	−0.718389	−	0.414762i	0.0957703	−	0.995403i	$-0.469469\pi$
$191$	−9.92834	−	5.73213i	−0.718389	−	0.414762i	−0.814160	+	0.580641i	$0.802802\pi$
$192$	1.26787	−	13.7983i	0.0915006	−	0.995805i
$193$	−1.57433	−	2.72682i	−0.113323	−	0.196281i	0.803785	−	0.594920i	$-0.202816\pi$
$193$	−1.57433	−	2.72682i	−0.113323	−	0.196281i	−0.917108	+	0.398639i	$0.869483\pi$
$194$	−0.522653	+	4.93063i	−0.0375243	+	0.353999i
$195$	0.0558957	+	3.03525i	0.00400278	+	0.217359i
$196$	−9.79867	−	9.99930i	−0.699905	−	0.714236i
$197$	15.9914	+	15.9914i	1.13934	+	1.13934i	0.988569	+	0.150768i	$0.0481747\pi$
$197$	15.9914	+	15.9914i	1.13934	+	1.13934i	0.150768	+	0.988569i	$0.451825\pi$
$198$	3.44368	+	3.95325i	0.244732	+	0.280945i
$199$	−0.417409	−	0.722973i	−0.0295893	−	0.0512502i	0.850852	−	0.525406i	$-0.176087\pi$
$199$	−0.417409	−	0.722973i	−0.0295893	−	0.0512502i	−0.880441	+	0.474156i	$0.842753\pi$
$200$	−27.4842	+	5.76554i	−1.94343	+	0.407685i
$201$	−1.98273	+	0.570600i	−0.139851	+	0.0402470i
$202$	14.7968	+	5.69503i	1.04110	+	0.400701i
$203$	9.14538	+	17.0129i	0.641880	+	1.19407i
$204$	−7.81448	+	8.97477i	−0.547123	+	0.628360i
$205$	−2.52548	+	0.676701i	−0.176387	+	0.0472628i
$206$	7.54900	−	10.3710i	0.525964	−	0.722579i
$207$	15.0200	+	23.9346i	1.04396	+	1.66357i
$208$	−1.69628	+	0.644245i	−0.117616	+	0.0446704i
$209$	−5.37784			−0.371993
$210$	9.89030	+	23.0040i	0.682495	+	1.58743i
$211$	−2.63735	−	2.63735i	−0.181563	−	0.181563i	0.610474	−	0.792037i	$-0.290979\pi$
$211$	−2.63735	−	2.63735i	−0.181563	−	0.181563i	−0.792037	+	0.610474i	$0.790979\pi$
$212$	3.45845	−	6.75792i	0.237527	−	0.464136i
$213$	8.39685	+	13.9444i	0.575342	+	0.955451i
$214$	8.39852	−	1.32256i	0.574111	−	0.0904083i
$215$	13.9062	+	8.02875i	0.948395	+	0.547556i
$216$	14.1970	+	3.80074i	0.965983	+	0.258607i
$217$	−3.52673	−	14.9652i	−0.239410	−	1.01590i
$218$	5.10743	−	13.2701i	0.345919	−	0.898766i
$219$	−3.46386	+	6.26315i	−0.234066	+	0.423224i
$220$	9.33702	+	2.00196i	0.629501	+	0.134972i
$221$	1.50523	+	0.403324i	0.101253	+	0.0271305i
$222$	11.8210	−	9.92050i	0.793376	−	0.665820i
$223$		−	16.8325i		−	1.12719i	−0.826053	−	0.563593i	$-0.809419\pi$
$223$		−	16.8325i		−	1.12719i	0.826053	−	0.563593i	$-0.190581\pi$
$224$	−10.9448	+	10.2084i	−0.731278	+	0.682080i
$225$	−1.09667	−	29.7657i	−0.0731116	−	1.98438i
$226$	−1.40133	+	13.2199i	−0.0932150	+	0.879377i
$227$	2.82992	−	10.5614i	0.187829	−	0.700986i	−0.806179	−	0.591672i	$-0.798468\pi$
$227$	2.82992	−	10.5614i	0.187829	−	0.700986i	0.994007	−	0.109314i	$-0.0348653\pi$
$228$	−12.5050	+	8.41991i	−0.828162	+	0.557622i
$229$	−7.59035	+	2.03383i	−0.501584	+	0.134399i	−0.500735	−	0.865601i	$-0.666937\pi$
$229$	−7.59035	+	2.03383i	−0.501584	+	0.134399i	−0.000849152		1.00000i	$0.500270\pi$
$230$	48.0326	+	18.4869i	3.16717	+	1.21899i
$231$	0.0676489	−	5.66248i	0.00445097	−	0.372564i
$232$	18.4231	−	9.32536i	1.20954	−	0.612240i
$233$	−1.83715	+	3.18204i	−0.120356	+	0.208462i	−0.919908	−	0.392134i	$-0.871737\pi$
$233$	−1.83715	+	3.18204i	−0.120356	+	0.208462i	0.799552	+	0.600597i	$0.205070\pi$
$234$	−0.369177	−	1.88883i	−0.0241339	−	0.123477i
$235$	−6.94840	−	1.86182i	−0.453264	−	0.121452i
$236$	0.482797	+	0.247077i	0.0314274	+	0.0160833i
$237$	17.4109	−	0.320631i	1.13096	−	0.0208273i
$238$	12.7520	−	1.61314i	0.826587	−	0.104564i
$239$			10.9084i			0.705607i	0.935697	+	0.352804i	$0.114772\pi$
$239$			10.9084i			0.705607i	−0.935697	+	0.352804i	$0.885228\pi$
$240$	24.8456	−	9.96354i	1.60377	−	0.643144i
$241$	−0.483523	+	0.279162i	−0.0311465	+	0.0179824i	−0.515492	−	0.856894i	$-0.672391\pi$
$241$	−0.483523	+	0.279162i	−0.0311465	+	0.0179824i	0.484346	+	0.874877i	$0.339058\pi$
$242$	10.8312	+	7.88403i	0.696257	+	0.506805i
$243$	−6.52007	+	14.1594i	−0.418262	+	0.908326i
$244$	0.400946	+	7.91930i	0.0256679	+	0.506981i
$245$	8.57251	−	25.6518i	0.547677	−	1.63883i
$246$	1.50220	−	0.700620i	0.0957766	−	0.0446699i
$247$	1.70965	+	0.987069i	0.108783	+	0.0628057i
$248$	−16.0866	+	3.37459i	−1.02150	+	0.214286i
$249$	2.11708	−	8.52602i	0.134165	−	0.540315i
$250$	−16.9296	−	20.9443i	−1.07072	−	1.32463i
$251$	−14.8578	+	14.8578i	−0.937819	+	0.937819i	−0.998177	−	0.0603577i	$-0.980776\pi$
$251$	−14.8578	+	14.8578i	−0.937819	+	0.937819i	0.0603577	+	0.998177i	$0.480776\pi$
$252$	−8.70826	−	13.2728i	−0.548569	−	0.836105i
$253$	−8.23039	−	8.23039i	−0.517440	−	0.517440i
$254$	−27.5592	−	2.92130i	−1.72922	−	0.183299i
$255$	−22.3120	−	5.54026i	−1.39723	−	0.346945i
$256$	10.6214	+	11.9660i	0.663840	+	0.747875i
$257$	8.94224	−	15.4884i	0.557802	−	0.966141i	−0.439878	−	0.898058i	$-0.644978\pi$
$257$	8.94224	−	15.4884i	0.557802	−	0.966141i	0.997680	−	0.0680833i	$-0.0216884\pi$
$258$	−9.56623	−	3.48103i	−0.595567	−	0.216720i
$259$	−16.6610	−	0.505979i	−1.03526	−	0.0314400i
$260$	−2.60086	−	2.35019i	−0.161298	−	0.145753i
$261$	6.44354	+	20.9320i	0.398845	+	1.29566i
$262$	3.73022	−	0.587417i	0.230454	−	0.0362907i
$263$	2.22684	+	3.85700i	0.137313	+	0.237833i	0.926479	−	0.376347i	$-0.122820\pi$
$263$	2.22684	+	3.85700i	0.137313	+	0.237833i	−0.789166	+	0.614180i	$0.789487\pi$
$264$	−6.04982	−	0.221569i	−0.372341	−	0.0136366i
$265$	14.6658			0.900913
$266$	16.1331	+	2.20718i	0.989182	+	0.135331i
$267$	0.311040	+	16.8901i	0.0190353	+	1.03366i
$268$	1.08534	−	2.12079i	0.0662978	−	0.129548i
$269$	−0.767196	+	2.86321i	−0.0467768	+	0.174573i	−0.985362	−	0.170473i	$-0.945470\pi$
$269$	−0.767196	+	2.86321i	−0.0467768	+	0.174573i	0.938585	+	0.345047i	$0.112137\pi$
$270$	5.95853	+	27.7604i	0.362624	+	1.68945i
$271$	17.3517	+	10.0180i	1.05404	+	0.608552i	0.923778	−	0.382928i	$-0.125084\pi$
$271$	17.3517	+	10.0180i	1.05404	+	0.608552i	0.130264	+	0.991479i	$0.458417\pi$
$272$	−1.38783	−	13.6708i	−0.0841497	−	0.828914i
$273$	−1.06082	+	1.78773i	−0.0642037	+	0.108198i
$274$	−3.60173	−	8.10898i	−0.217589	−	0.489881i
$275$	3.17551	+	11.8512i	0.191491	+	0.714653i
$276$	−32.0240	−	6.25189i	−1.92762	−	0.376319i
$277$	23.4485	+	6.28301i	1.40889	+	0.377510i	0.881527	−	0.472133i	$-0.156516\pi$
$277$	23.4485	+	6.28301i	1.40889	+	0.377510i	0.527358	+	0.849643i	$0.323183\pi$
$278$	−3.60867	−	4.46443i	−0.216434	−	0.267758i
$279$	−0.641886	−	17.4219i	−0.0384287	−	1.04302i
$280$	−27.1886	−	9.83783i	−1.62483	−	0.587923i
$281$	−13.1661			−0.785426			−0.392713	−	0.919661i	$-0.628463\pi$
$281$	−13.1661			−0.785426			−0.392713	+	0.919661i	$0.628463\pi$
$282$	4.54311	+	0.397137i	0.270539	+	0.0236491i
$283$	2.03118	−	7.58046i	0.120741	−	0.450612i	−0.878911	−	0.476986i	$-0.841729\pi$
$283$	2.03118	−	7.58046i	0.120741	−	0.450612i	0.999652	+	0.0263740i	$0.00839606\pi$
$284$	−18.3778	−	3.94041i	−1.09052	−	0.233820i
$285$	−25.4859	−	14.0951i	−1.50966	−	0.834922i
$286$	0.321801	+	0.724507i	0.0190285	+	0.0428410i
$287$	−1.71449	−	0.515659i	−0.101203	−	0.0304384i
$288$	−14.4144	+	8.95680i	−0.849378	+	0.527785i
$289$	2.59947	−	4.50242i	0.152910	−	0.264848i
$290$	32.2517	+	23.4760i	1.89388	+	1.37856i
$291$	5.20223	−	3.13262i	0.304960	−	0.183637i
$292$	−2.53989	−	7.86444i	−0.148636	−	0.460232i
$293$	3.16111	−	3.16111i	0.184674	−	0.184674i	−0.608715	−	0.793389i	$-0.708315\pi$
$293$	3.16111	−	3.16111i	0.184674	−	0.184674i	0.793389	+	0.608715i	$0.208315\pi$
$294$	−2.52694	+	16.9592i	−0.147374	+	0.989081i
$295$			1.04775i			0.0610023i
$296$	−0.979958	+	17.7926i	−0.0569589	+	1.03417i
$297$	1.31693	−	6.28461i	0.0764158	−	0.364670i
$298$	−27.6307	+	4.35114i	−1.60060	+	0.252055i
$299$	1.10586	+	4.12713i	0.0639537	+	0.238678i
$300$	25.9390	+	22.5855i	1.49759	+	1.30397i
$301$	5.20619	+	9.68492i	0.300080	+	0.558229i
$302$	−22.1551	+	9.84054i	−1.27488	+	0.566259i
$303$	−5.37032	−	18.6609i	−0.308517	−	1.07204i
$304$	2.78414	−	17.1835i	0.159682	−	0.985544i
$305$	−13.2664	+	7.65937i	−0.759633	+	0.438574i
$306$	14.5401	+	1.00165i	0.831204	+	0.0572605i
$307$	−19.5552	+	19.5552i	−1.11607	+	1.11607i	−0.123759	+	0.992312i	$0.539495\pi$
$307$	−19.5552	+	19.5552i	−1.11607	+	1.11607i	−0.992312	+	0.123759i	$0.960505\pi$
$308$	4.71629	+	4.52927i	0.268736	+	0.258079i
$309$	−15.7077	+	0.289266i	−0.893581	+	0.0164558i
$310$	−19.9614	−	24.6950i	−1.13373	−	1.40258i
$311$	12.6928	−	7.32817i	0.719740	−	0.415542i	−0.0949167	−	0.995485i	$-0.530258\pi$
$311$	12.6928	−	7.32817i	0.719740	−	0.415542i	0.814657	+	0.579943i	$0.196925\pi$
$312$	1.88261	+	1.18085i	0.106582	+	0.0668522i
$313$	13.6925	−	23.7162i	0.773949	−	1.34052i	−0.161435	−	0.986883i	$-0.551612\pi$
$313$	13.6925	−	23.7162i	0.773949	−	1.34052i	0.935383	−	0.353635i	$-0.115054\pi$
$314$	0.224355	+	0.0863501i	0.0126611	+	0.00487302i
$315$	15.1617	−	26.6576i	0.854267	−	1.50198i
$316$	−13.4813	+	14.9191i	−0.758380	+	0.839267i
$317$	−6.78833	−	25.3344i	−0.381271	−	1.42292i	−0.843962	−	0.536402i	$-0.819783\pi$
$317$	−6.78833	−	25.3344i	−0.381271	−	1.42292i	0.462692	−	0.886519i	$-0.346884\pi$
$318$	−9.15624	+	1.61518i	−0.513456	+	0.0905749i
$319$	−4.51074	−	7.81283i	−0.252553	−	0.437435i
$320$	−11.2306	+	28.7977i	−0.627810	+	1.60984i
$321$	−7.49729	−	7.22615i	−0.418458	−	0.403324i
$322$	21.3125	+	28.0684i	1.18770	+	1.56419i
$323$	−10.5712	+	10.5712i	−0.588198	+	0.588198i
$324$	−6.77739	−	16.6753i	−0.376522	−	0.926408i
$325$	1.16569	−	4.35042i	0.0646609	−	0.241318i
$326$	−23.5279	+	3.70506i	−1.30309	+	0.205204i
$327$	−16.7355	+	4.81622i	−0.925475	+	0.266338i
$328$	−0.596292	+	1.81871i	−0.0329247	+	0.100422i
$329$	−3.37576	−	3.58722i	−0.186112	−	0.197770i
$330$	−4.94345	−	10.5992i	−0.272128	−	0.583469i
$331$	−0.981347	−	3.66244i	−0.0539397	−	0.201306i	0.933697	−	0.358063i	$-0.116563\pi$
$331$	−0.981347	−	3.66244i	−0.0539397	−	0.201306i	−0.987637	+	0.156757i	$0.949896\pi$
$332$	5.50970	+	8.51724i	0.302384	+	0.467444i
$333$	−18.4242	−	4.21632i	−1.00964	−	0.231053i
$334$	0.569634	−	5.37384i	0.0311690	−	0.294044i
$335$	4.60247			0.251460
$336$	18.0580	+	3.14766i	0.985146	+	0.171719i
$337$	7.56830			0.412272			0.206136	−	0.978523i	$-0.433911\pi$
$337$	7.56830			0.412272			0.206136	+	0.978523i	$0.433911\pi$
$338$	−1.90728	+	17.9930i	−0.103742	+	0.978688i
$339$	13.9481	−	8.39912i	0.757558	−	0.456178i
$340$	22.2890	−	14.4185i	1.20879	−	0.781953i
$341$	1.85864	+	6.93652i	0.100651	+	0.375634i
$342$	17.4639	+	5.99311i	0.944338	+	0.324071i
$343$	14.2326	−	11.8504i	0.768490	−	0.639862i
$344$	10.4877	−	5.30865i	0.565459	−	0.286223i
$345$	−17.4328	−	60.5759i	−0.938551	−	3.26129i
$346$	28.7837	−	4.53272i	1.54742	−	0.243681i
$347$	4.17654	−	15.5871i	0.224209	−	0.836758i	−0.758511	−	0.651660i	$-0.774073\pi$
$347$	4.17654	−	15.5871i	0.224209	−	0.836758i	0.982720	−	0.185098i	$-0.0592603\pi$
$348$	−22.7210	−	11.1047i	−1.21797	−	0.595274i
$349$	−22.3541	+	22.3541i	−1.19659	+	1.19659i	−0.221409	+	0.975181i	$0.571065\pi$
$349$	−22.3541	+	22.3541i	−1.19659	+	1.19659i	−0.975181	+	0.221409i	$0.928935\pi$
$350$	−4.66231	−	36.8558i	−0.249211	−	1.97003i
$351$	−1.57216	+	1.75621i	−0.0839158	+	0.0937395i
$352$	4.96485	−	4.92100i	0.264627	−	0.262290i
$353$	7.62084	+	13.1997i	0.405616	+	0.702548i	0.994393	−	0.105747i	$-0.0337235\pi$
$353$	7.62084	+	13.1997i	0.405616	+	0.702548i	−0.588777	+	0.808296i	$0.700390\pi$
$354$	−0.115391	−	0.654136i	−0.00613297	−	0.0347670i
$355$	−9.39787	−	35.0733i	−0.498787	−	1.86150i
$356$	−14.4728	−	13.0780i	−0.767058	−	0.693130i
$357$	−10.9978	−	11.2637i	−0.582063	−	0.596139i
$358$	−5.99443	−	2.30715i	−0.316815	−	0.121937i
$359$	−9.15961	+	15.8649i	−0.483426	+	0.837318i	−0.999819	−	0.0190335i	$-0.993941\pi$
$359$	−9.15961	+	15.8649i	−0.483426	+	0.837318i	0.516393	+	0.856352i	$0.327274\pi$
$360$	−28.0898	−	16.9064i	−1.48046	−	0.891045i
$361$	0.0527339	−	0.0304459i	0.00277547	−	0.00160242i
$362$	−14.1973	−	17.5640i	−0.746193	−	0.923145i
$363$	−0.302103	−	16.4048i	−0.0158563	−	0.861030i
$364$	−0.668025	−	2.30553i	−0.0350140	−	0.120843i
$365$	11.2896	−	11.2896i	0.590922	−	0.590922i
$366$	7.43902	−	6.24301i	0.388844	−	0.326327i
$367$	8.44821	−	4.87757i	0.440993	−	0.254607i	−0.263026	−	0.964789i	$-0.584720\pi$
$367$	8.44821	−	4.87757i	0.440993	−	0.254607i	0.704019	+	0.710181i	$0.251387\pi$
$368$	30.5591	−	22.0372i	1.59300	−	1.14877i
$369$	−1.79428	−	0.949618i	−0.0934062	−	0.0494351i
$370$	−31.4615	+	13.9741i	−1.63560	+	0.726480i
$371$	8.54069	+	5.28297i	0.443410	+	0.274278i
$372$	15.1821	+	13.2193i	0.787157	+	0.685391i
$373$	2.20106	+	8.21448i	0.113967	+	0.425330i	0.999208	−	0.0398034i	$-0.0126732\pi$
$373$	2.20106	+	8.21448i	0.113967	+	0.425330i	−0.885241	+	0.465133i	$0.846006\pi$
$374$	−5.93040	+	0.933892i	−0.306654	+	0.0482904i
$375$	−7.94871	+	32.0114i	−0.410469	+	1.65306i
$376$	−3.92272	+	3.51318i	−0.202299	+	0.181178i
$377$			3.31167i			0.170560i
$378$	−6.53000	+	18.3128i	−0.335867	+	0.941909i
$379$	−23.7487	+	23.7487i	−1.21989	+	1.21989i	−0.252219	+	0.967670i	$0.581160\pi$
$379$	−23.7487	+	23.7487i	−1.21989	+	1.21989i	−0.967670	+	0.252219i	$0.918840\pi$
$380$	32.0019	−	10.3353i	1.64166	−	0.530190i
$381$	17.5094	+	29.0772i	0.897032	+	1.48967i
$382$	−13.1081	−	9.54134i	−0.670667	−	0.488177i
$383$	−13.1424	+	22.7634i	−0.671547	+	1.16315i	0.305919	+	0.952058i	$0.401036\pi$
$383$	−13.1424	+	22.7634i	−0.671547	+	1.16315i	−0.977465	+	0.211096i	$0.932297\pi$
$384$	3.84000	−	19.2160i	0.195959	−	0.980612i
$385$	−3.63840	+	12.0971i	−0.185430	+	0.616527i
$386$	−1.80754	−	4.06952i	−0.0920015	−	0.207133i
$387$	3.66811	+	11.9160i	0.186461	+	0.605723i
$388$	−1.47005	+	6.85621i	−0.0746305	+	0.348071i
$389$	1.29193	−	4.82154i	0.0655033	−	0.244462i	−0.925409	−	0.378969i	$-0.876279\pi$
$389$	1.29193	−	4.82154i	0.0655033	−	0.244462i	0.990913	+	0.134508i	$0.0429453\pi$
$390$	−0.373867	+	4.27691i	−0.0189315	+	0.216570i
$391$	−32.3569			−1.63636
$392$	−12.2896	−	15.5231i	−0.620718	−	0.784034i
$393$	−3.32993	−	3.20951i	−0.167973	−	0.161898i
$394$	20.1053	+	24.8731i	1.01289	+	1.25309i
$395$	−37.5223	−	10.0541i	−1.88795	−	0.505875i
$396$	4.25365	+	6.07295i	0.213754	+	0.305177i
$397$	5.91006	+	22.0566i	0.296617	+	1.10699i	0.939924	+	0.341383i	$0.110895\pi$
$397$	5.91006	+	22.0566i	0.296617	+	1.10699i	−0.643307	+	0.765608i	$0.722438\pi$
$398$	−0.479240	−	1.07897i	−0.0240221	−	0.0540837i
$399$	−9.76444	−	17.3890i	−0.488834	−	0.870538i
$400$	−39.5115	+	4.01113i	−1.97557	+	0.200556i
$401$	−5.73077	−	3.30866i	−0.286181	−	0.165227i	0.350037	−	0.936736i	$-0.386169\pi$
$401$	−5.73077	−	3.30866i	−0.286181	−	0.165227i	−0.636218	+	0.771509i	$0.719502\pi$
$402$	−2.87344	+	0.506882i	−0.143314	+	0.0252810i
$403$	0.682282	−	2.54631i	0.0339869	−	0.126841i
$404$	19.9603	+	10.2149i	0.993062	+	0.508212i
$405$	22.7127	−	26.3316i	1.12860	−	1.30843i
$406$	10.3253	+	25.2891i	0.512436	+	1.25508i
$407$	7.78539			0.385908
$408$	−12.3277	+	11.4566i	−0.610311	+	0.567186i
$409$	9.37039	+	16.2300i	0.463336	+	0.802521i	0.999125	−	0.0418309i	$-0.0133191\pi$
$409$	9.37039	+	16.2300i	0.463336	+	0.802521i	−0.535789	+	0.844352i	$0.679986\pi$
$410$	−3.65255	+	0.575186i	−0.180387	+	0.0284064i
$411$	−5.25930	+	9.50956i	−0.259422	+	0.469072i
$412$	12.1625	−	13.4597i	0.599201	−	0.663111i
$413$	−0.377424	+	0.610160i	−0.0185718	+	0.0300240i
$414$	17.5551	+	35.8992i	0.862788	+	1.76435i
$415$	−9.79847	+	16.9714i	−0.480988	+	0.833095i
$416$	−2.48158	+	0.653154i	−0.121669	+	0.0320235i
$417$	−1.69432	+	6.82346i	−0.0829714	+	0.334146i
$418$	−7.56304	−	0.801692i	−0.369921	−	0.0392120i
$419$	−9.64860	−	9.64860i	−0.471365	−	0.471365i	0.430991	−	0.902356i	$-0.358164\pi$
$419$	−9.64860	−	9.64860i	−0.471365	−	0.471365i	−0.902356	+	0.430991i	$0.858164\pi$
$420$	10.4798	+	33.8257i	0.511361	+	1.65053i
$421$	11.0156	−	11.0156i	0.536866	−	0.536866i	−0.385741	−	0.922607i	$-0.626054\pi$
$421$	11.0156	−	11.0156i	0.536866	−	0.536866i	0.922607	+	0.385741i	$0.126054\pi$
$422$	−3.31584	−	4.10216i	−0.161413	−	0.199690i
$423$	−2.96889	−	4.73097i	−0.144352	−	0.230028i
$424$	5.87116	−	8.98834i	0.285129	−	0.436512i
$425$	29.5380	+	17.0537i	1.43280	+	0.827228i
$426$	9.73005	+	20.8622i	0.471422	+	1.01078i
$427$	−10.4848	−	0.318415i	−0.507397	−	0.0154092i
$428$	12.0083	−	0.607967i	0.580443	−	0.0293872i
$429$	0.469899	−	0.849643i	0.0226869	−	0.0410212i
$430$	18.3599	+	13.3641i	0.885393	+	0.644476i
$431$	−0.928892	+	0.536296i	−0.0447431	+	0.0258325i	−0.522205	−	0.852820i	$-0.674890\pi$
$431$	−0.928892	+	0.536296i	−0.0447431	+	0.0258325i	0.477462	+	0.878653i	$0.341557\pi$
$432$	19.3991	+	7.46150i	0.933341	+	0.358991i
$433$			22.4192i			1.07740i	0.842498	+	0.538699i	$0.181084\pi$
$433$			22.4192i			1.07740i	−0.842498	+	0.538699i	$0.818916\pi$
$434$	−2.72886	−	21.5718i	−0.130989	−	1.03548i
$435$	−0.899561	−	48.8480i	−0.0431306	−	2.34208i
$436$	9.16097	−	17.9008i	0.438731	−	0.857295i
$437$	−39.5941	−	10.6092i	−1.89404	−	0.507507i
$438$	−5.80502	+	8.29171i	−0.277374	+	0.396193i
$439$	−15.0224	+	26.0196i	−0.716982	+	1.24185i	0.245209	+	0.969470i	$0.421144\pi$
$439$	−15.0224	+	26.0196i	−0.716982	+	1.24185i	−0.962190	+	0.272378i	$0.912190\pi$
$440$	12.8325	+	4.20733i	0.611767	+	0.200577i
$441$	18.4322	−	10.0625i	0.877723	−	0.479168i
$442$	2.05673	+	0.791598i	0.0978286	+	0.0376525i
$443$	−11.4275	+	3.06199i	−0.542937	+	0.145479i	−0.519856	−	0.854254i	$-0.674014\pi$
$443$	−11.4275	+	3.06199i	−0.542937	+	0.145479i	−0.0230811	+	0.999734i	$0.507348\pi$
$444$	18.1032	−	12.1893i	0.859140	−	0.578480i
$445$	9.75329	−	36.3998i	0.462350	−	1.72551i
$446$	2.50927	−	23.6721i	0.118817	−	1.12091i
$447$	24.6656	+	23.7736i	1.16664	+	1.12445i
$448$	−16.9138	+	12.7249i	−0.799102	+	0.601195i
$449$		−	1.55191i		−	0.0732391i	−0.999329	−	0.0366196i	$-0.988341\pi$
$449$		−	1.55191i		−	0.0732391i	0.999329	−	0.0366196i	$-0.0116590\pi$
$450$	2.89498	−	42.0240i	0.136471	−	1.98103i
$451$	0.807723	+	0.216429i	0.0380342	+	0.0101912i
$452$	−3.94147	+	18.3828i	−0.185391	+	0.864652i
$453$	25.9817	+	14.3693i	1.22073	+	0.675129i
$454$	5.55424	−	14.4310i	0.260674	−	0.677281i
$455$	3.37703	−	3.17796i	0.158317	−	0.148985i
$456$	−18.8414	+	9.97706i	−0.882328	+	0.467218i
$457$	−2.79705	−	1.61488i	−0.130841	−	0.0755408i	0.433151	−	0.901321i	$-0.357402\pi$
$457$	−2.79705	−	1.61488i	−0.130841	−	0.0755408i	−0.563992	+	0.825781i	$0.690735\pi$
$458$	−10.9778	+	1.72873i	−0.512957	+	0.0807780i
$459$	−9.76498	−	14.9423i	−0.455790	−	0.697449i
$460$	64.7940	+	33.1591i	3.02103	+	1.54605i
$461$	−10.2782	−	10.2782i	−0.478702	−	0.478702i	0.426014	−	0.904716i	$-0.359917\pi$
$461$	−10.2782	−	10.2782i	−0.478702	−	0.478702i	−0.904716	+	0.426014i	$0.859917\pi$
$462$	0.939261	−	7.95326i	0.0436984	−	0.370019i
$463$	32.8974			1.52887			0.764437	−	0.644699i	$-0.223017\pi$
$463$	32.8974			1.52887			0.764437	+	0.644699i	$0.223017\pi$
$464$	27.2992	−	10.3682i	1.26733	−	0.481331i
$465$	−9.37217	+	37.7441i	−0.434624	+	1.75034i
$466$	−3.05800	+	4.20114i	−0.141659	+	0.194614i
$467$	11.3948	−	3.05323i	0.527290	−	0.141287i	0.0146532	−	0.999893i	$-0.495336\pi$
$467$	11.3948	−	3.05323i	0.527290	−	0.141287i	0.512636	+	0.858606i	$0.328669\pi$
$468$	−0.237613	−	2.71136i	−0.0109837	−	0.125333i
$469$	2.68027	+	1.65792i	0.123763	+	0.0765556i
$470$	−9.49423	−	3.65416i	−0.437936	−	0.168554i
$471$	−0.0814267	−	0.282943i	−0.00375194	−	0.0130373i
$472$	0.642141	+	0.419445i	0.0295569	+	0.0193065i
$473$	−2.56783	−	4.44761i	−0.118069	−	0.204501i
$474$	24.5334	+	2.14459i	1.12686	+	0.0985042i
$475$	30.5530	+	30.5530i	1.40187	+	1.40187i
$476$	18.1740	−	0.367637i	0.833004	−	0.0168506i
$477$	8.34297	+	7.75004i	0.381998	+	0.354850i
$478$	−1.62615	+	15.3409i	−0.0743785	+	0.701676i
$479$	4.43589	+	7.68320i	0.202681	+	0.351054i	0.949391	−	0.314095i	$-0.101701\pi$
$479$	4.43589	+	7.68320i	0.202681	+	0.351054i	−0.746710	+	0.665149i	$0.768368\pi$
$480$	36.4265	−	10.3083i	1.66263	−	0.470506i
$481$	−2.47503	−	1.42896i	−0.112852	−	0.0651550i
$482$	−0.721611	+	0.320515i	−0.0328685	+	0.0145991i
$483$	11.6688	−	41.5563i	0.530949	−	1.89088i
$484$	14.0570	+	12.7022i	0.638955	+	0.577374i
$485$	−13.0848	+	3.50607i	−0.594151	+	0.159202i
$486$	−11.2802	+	18.9409i	−0.511680	+	0.859176i
$487$	20.7969	−	12.0071i	0.942396	−	0.544093i	0.0516857	−	0.998663i	$-0.483541\pi$
$487$	20.7969	−	12.0071i	0.942396	−	0.544093i	0.890711	+	0.454571i	$0.150207\pi$
$488$	−0.616692	+	11.1970i	−0.0279163	+	0.506863i
$489$	21.0032	+	20.2436i	0.949796	+	0.915446i
$490$	15.8798	−	34.7971i	0.717377	−	1.57197i
$491$	−0.474583	−	0.474583i	−0.0214176	−	0.0214176i	0.696317	−	0.717734i	$-0.254821\pi$
$491$	−0.474583	−	0.474583i	−0.0214176	−	0.0214176i	−0.717734	+	0.696317i	$0.754821\pi$
$492$	2.21704	−	0.761369i	0.0999517	−	0.0343251i
$493$	−24.2244	−	6.49092i	−1.09101	−	0.292336i
$494$	2.25720	+	1.64301i	0.101556	+	0.0739227i
$495$	−6.70034	+	12.6601i	−0.301158	+	0.569029i
$496$	−23.1262	+	2.34772i	−1.03840	+	0.105416i
$497$	7.16136	−	23.8104i	0.321231	−	1.06804i
$498$	4.24833	−	11.6748i	0.190372	−	0.523162i
$499$	18.4989	−	4.95676i	0.828123	−	0.221895i	0.180228	−	0.983625i	$-0.442316\pi$
$499$	18.4989	−	4.95676i	0.828123	−	0.221895i	0.647895	+	0.761730i	$0.275650\pi$
$500$	−20.6865	−	31.9784i	−0.925127	−	1.43012i
$501$	−5.66985	+	3.41420i	−0.253310	+	0.152535i
$502$	−23.1100	+	18.6802i	−1.03145	+	0.833738i
$503$			28.7245i			1.28076i	0.768058	+	0.640380i	$0.221223\pi$
$503$			28.7245i			1.28076i	−0.768058	+	0.640380i	$0.778777\pi$
$504$	−10.2681	−	19.9641i	−0.457378	−	0.889272i
$505$			43.3171i			1.92759i
$506$	−10.3477	−	12.8016i	−0.460013	−	0.569101i
$507$	18.9841	−	11.4316i	0.843112	−	0.507695i
$508$	−38.3219	−	8.21666i	−1.70026	−	0.364555i
$509$	1.16072	−	0.311014i	0.0514480	−	0.0137854i	−0.233003	−	0.972476i	$-0.574855\pi$
$509$	1.16072	−	0.311014i	0.0514480	−	0.0137854i	0.284451	+	0.958691i	$0.408189\pi$
$510$	−30.5523	−	11.1176i	−1.35288	−	0.492295i
$511$	10.6413	−	2.50775i	0.470743	−	0.110936i
$512$	13.1535	+	18.4116i	0.581308	+	0.813684i
$513$	−7.04978	−	21.4862i	−0.311255	−	0.948639i
$514$	14.8847	−	20.4488i	0.656536	−	0.901960i
$515$	33.8517	+	9.07053i	1.49168	+	0.399695i
$516$	−12.9344	−	6.32156i	−0.569405	−	0.278291i
$517$	1.62684	+	1.62684i	0.0715482	+	0.0715482i
$518$	−23.3555	−	3.19529i	−1.02618	−	0.140393i
$519$	−25.6950	−	24.7657i	−1.12788	−	1.08709i
$520$	−3.30732	−	3.69287i	−0.145036	−	0.161943i
$521$	30.0164	−	17.3300i	1.31504	−	0.759240i	0.332116	−	0.943238i	$-0.392237\pi$
$521$	30.0164	−	17.3300i	1.31504	−	0.759240i	0.982927	+	0.183998i	$0.0589040\pi$
$522$	5.94137	+	30.3980i	0.260047	+	1.33048i
$523$	−17.9262	+	4.80331i	−0.783858	+	0.210034i	−0.628485	−	0.777822i	$-0.716325\pi$
$523$	−17.9262	+	4.80331i	−0.783858	+	0.210034i	−0.155373	+	0.987856i	$0.549658\pi$
$524$	5.33350	−	0.270029i	0.232995	−	0.0117963i
$525$	−32.5545	+	31.7858i	−1.42079	+	1.38725i
$526$	2.55671	+	5.75619i	0.111478	+	0.250982i
$527$	17.2886	+	9.98161i	0.753105	+	0.434806i
$528$	−8.47505	−	1.21347i	−0.368829	−	0.0528093i
$529$	−32.8592	−	56.9139i	−1.42866	−	2.47452i
$530$	20.6250	+	2.18628i	0.895894	+	0.0949658i
$531$	−0.553676	+	0.596035i	−0.0240275	+	0.0258657i
$532$	22.3595	+	5.50904i	0.969406	+	0.238847i
$533$	−0.217057	−	0.217057i	−0.00940177	−	0.00940177i
$534$	−2.08043	+	23.7995i	−0.0900291	+	1.02990i
$535$	11.6141	+	20.1163i	0.502123	+	0.869703i
$536$	1.84251	−	2.82075i	0.0795842	−	0.121838i
$537$	2.17560	+	7.55982i	0.0938841	+	0.326230i
$538$	−1.50576	+	3.91227i	−0.0649180	+	0.168670i
$539$	−6.47651	+	5.73417i	−0.278963	+	0.246988i
$540$	4.24134	+	39.9287i	0.182518	+	1.71826i
$541$	23.3868	−	6.26649i	1.00548	−	0.269417i	0.281740	−	0.959491i	$-0.409089\pi$
$541$	23.3868	−	6.26649i	1.00548	−	0.269417i	0.723739	+	0.690074i	$0.242422\pi$
$542$	22.9089	+	16.6754i	0.984022	+	0.716269i
$543$	−6.66584	+	26.8450i	−0.286058	+	1.15203i
$544$	0.0861918	−	19.4326i	0.00369544	−	0.833166i
$545$	38.8478			1.66406
$546$	−1.75837	+	2.35600i	−0.0752512	+	0.100828i
$547$	−11.3646	−	11.3646i	−0.485915	−	0.485915i	0.421099	−	0.907015i	$-0.361644\pi$
$547$	−11.3646	−	11.3646i	−0.485915	−	0.485915i	−0.907015	+	0.421099i	$0.861644\pi$
$548$	−3.85641	−	11.9409i	−0.164738	−	0.510088i
$549$	−11.5944	−	2.65335i	−0.494839	−	0.113242i
$550$	2.69914	+	17.1401i	0.115092	+	0.730856i
$551$	−27.5144	−	15.8854i	−1.17215	−	0.676743i
$552$	−44.1044	−	13.5662i	−1.87721	−	0.577414i
$553$	−18.2295	−	19.3714i	−0.775199	−	0.823757i
$554$	32.0398	+	12.3316i	1.36124	+	0.523918i
$555$	36.8955	+	20.4052i	1.56613	+	0.866153i
$556$	−4.40947	−	6.81643i	−0.187003	−	0.289081i
$557$	20.9085	+	5.60243i	0.885924	+	0.237383i	0.672961	−	0.739678i	$-0.265022\pi$
$557$	20.9085	+	5.60243i	0.885924	+	0.237383i	0.212963	+	0.977060i	$0.431689\pi$
$558$	1.69444	−	24.5968i	0.0717313	−	1.04126i
$559$			1.88524i			0.0797370i
$560$	−36.7697	−	17.8884i	−1.55380	−	0.755922i
$561$	5.29402	+	5.10256i	0.223514	+	0.215430i
$562$	−18.5160	−	1.96272i	−0.781050	−	0.0827922i
$563$	7.34492	−	27.4116i	0.309551	−	1.15526i	−0.619405	−	0.785072i	$-0.712626\pi$
$563$	7.34492	−	27.4116i	0.309551	−	1.15526i	0.928956	−	0.370190i	$-0.120707\pi$
$564$	6.32994	+	1.23576i	0.266538	+	0.0520350i
$565$	−35.0828	+	9.40041i	−1.47595	+	0.395478i
$566$	3.98656	−	10.3579i	0.167568	−	0.435374i
$567$	22.7121	−	7.15263i	0.953819	−	0.300382i
$568$	−25.2579	−	8.28117i	−1.05980	−	0.347470i
$569$	−3.75159	+	6.49795i	−0.157275	+	0.272408i	−0.933885	−	0.357573i	$-0.883604\pi$
$569$	−3.75159	+	6.49795i	−0.157275	+	0.272408i	0.776610	+	0.629982i	$0.216938\pi$
$570$	−33.7405	−	23.6217i	−1.41324	−	0.989405i
$571$	26.9554	+	7.22267i	1.12805	+	0.302259i	0.774136	−	0.633020i	$-0.218185\pi$
$571$	26.9554	+	7.22267i	1.12805	+	0.302259i	0.353911	+	0.935279i	$0.384851\pi$
$572$	0.344556	+	1.06687i	0.0144066	+	0.0446081i
$573$	0.365609	+	19.8533i	0.0152735	+	0.829384i
$574$	−2.33427	−	0.980774i	−0.0974307	−	0.0409367i
$575$			93.5183i			3.89998i
$576$	−21.6067	+	10.4475i	−0.900280	+	0.435311i
$577$	−30.1411	+	17.4020i	−1.25479	+	0.724454i	−0.972057	−	0.234744i	$-0.924575\pi$
$577$	−30.1411	+	17.4020i	−1.25479	+	0.724454i	−0.282734	+	0.959198i	$0.591242\pi$
$578$	4.32692	−	5.94440i	0.179976	−	0.247254i
$579$	−2.63940	+	4.77240i	−0.109690	+	0.198334i
$580$	41.8570	+	37.8229i	1.73802	+	1.57051i
$581$	−11.8197	+	6.35375i	−0.490364	+	0.263598i
$582$	7.78306	−	3.62999i	0.322618	−	0.150468i
$583$	−4.06214	−	2.34527i	−0.168236	−	0.0971314i
$584$	−2.39956	−	11.4387i	−0.0992947	−	0.473335i
$585$	4.45377	−	2.79493i	0.184141	−	0.115556i
$586$	4.91681	−	3.97434i	0.203112	−	0.164178i
$587$	−7.83691	+	7.83691i	−0.323464	+	0.323464i	−0.850094	−	0.526631i	$-0.823455\pi$
$587$	−7.83691	+	7.83691i	−0.323464	+	0.323464i	0.526631	+	0.850094i	$0.323455\pi$
$588$	−6.08188	+	23.4736i	−0.250813	+	0.968036i
$589$	17.8828	+	17.8828i	0.736847	+	0.736847i
$590$	−0.156191	+	1.47348i	−0.00643029	+	0.0606624i
$591$	9.43975	−	38.0162i	0.388299	−	1.56378i
$592$	−4.03055	+	24.8763i	−0.165655	+	1.02241i
$593$	−20.0462	+	34.7210i	−0.823199	+	1.42582i	0.0800892	+	0.996788i	$0.474479\pi$
$593$	−20.0462	+	34.7210i	−0.823199	+	1.42582i	−0.903288	+	0.429035i	$0.858854\pi$
$594$	2.78891	−	8.64195i	0.114430	−	0.354583i
$595$	16.6273	+	30.9313i	0.681654	+	1.26806i
$596$	−39.5066	+	2.00018i	−1.61825	+	0.0819304i
$597$	−0.699794	+	1.26533i	−0.0286407	+	0.0517863i
$598$	0.939968	+	5.96899i	0.0384381	+	0.244090i
$599$	−8.71721	−	15.0987i	−0.356176	−	0.616914i	0.631143	−	0.775667i	$-0.282586\pi$
$599$	−8.71721	−	15.0987i	−0.356176	−	0.616914i	−0.987318	+	0.158752i	$0.949253\pi$
$600$	33.1120	+	35.6295i	1.35179	+	1.45457i
$601$	−1.22753			−0.0500718			−0.0250359	−	0.999687i	$-0.507970\pi$
$601$	−1.22753			−0.0500718			−0.0250359	+	0.999687i	$0.507970\pi$
$602$	5.87788	+	14.3963i	0.239564	+	0.586751i
$603$	2.61822	+	2.43215i	0.106622	+	0.0990446i
$604$	−32.6244	+	10.5364i	−1.32747	+	0.428718i
$605$	−9.47308	+	35.3540i	−0.385135	+	1.43734i
$606$	−4.77063	−	27.0440i	−0.193793	−	1.09859i
$607$	20.8843	+	12.0575i	0.847666	+	0.489400i	0.859863	−	0.510525i	$-0.170549\pi$
$607$	20.8843	+	12.0575i	0.847666	+	0.489400i	−0.0121965	+	0.999926i	$0.503882\pi$
$608$	6.47704	−	23.7508i	0.262679	−	0.963221i
$609$	17.0724	−	28.7709i	0.691807	−	1.16585i
$610$	−19.7988	+	8.79397i	−0.801631	+	0.356057i
$611$	−0.218587	−	0.815779i	−0.00884310	−	0.0330029i
$612$	20.2990	+	3.57620i	0.820538	+	0.144559i
$613$	−42.2113	−	11.3105i	−1.70490	−	0.456826i	−0.730734	−	0.682662i	$-0.760822\pi$
$613$	−42.2113	−	11.3105i	−1.70490	−	0.456826i	−0.974165	+	0.225836i	$0.927489\pi$
$614$	−30.4162	+	24.5859i	−1.22750	+	0.992208i
$615$	3.26060	+	3.14268i	0.131480	+	0.126725i
$616$	5.95750	+	7.07274i	0.240034	+	0.284969i
$617$	−11.2728			−0.453827			−0.226913	−	0.973915i	$-0.572863\pi$
$617$	−11.2728			−0.453827			−0.226913	+	0.973915i	$0.572863\pi$
$618$	−22.1334	−	1.93480i	−0.890337	−	0.0778289i
$619$	−3.30175	+	12.3223i	−0.132708	+	0.495274i	−0.999997	−	0.00253166i	$-0.999194\pi$
$619$	−3.30175	+	12.3223i	−0.132708	+	0.495274i	0.867288	+	0.497806i	$0.165861\pi$
$620$	−24.3910	−	37.7052i	−0.979567	−	1.51428i
$621$	22.0939	−	43.6722i	0.886596	−	1.75250i
$622$	18.9427	−	8.41371i	0.759533	−	0.337359i
$623$	18.7919	−	17.6842i	0.752883	−	0.708502i
$624$	2.47155	+	1.94131i	0.0989413	+	0.0777147i
$625$	11.9673	−	20.7280i	0.478692	−	0.829119i
$626$	22.7918	−	31.3117i	0.910942	−	1.25147i
$627$	4.80509	+	7.97964i	0.191897	+	0.318676i
$628$	0.302645	+	0.154882i	0.0120769	+	0.00618048i
$629$	15.3037	−	15.3037i	0.610200	−	0.610200i
$630$	25.2964	−	35.2292i	1.00783	−	1.40357i
$631$			4.67295i			0.186027i	0.995665	+	0.0930136i	$0.0296500\pi$
$631$			4.67295i			0.186027i	−0.995665	+	0.0930136i	$0.970350\pi$
$632$	−21.1832	+	18.9716i	−0.842623	+	0.754650i
$633$	−1.55684	+	6.26977i	−0.0618787	+	0.249201i
$634$	−5.76999	−	36.6406i	−0.229155	−	1.45518i
$635$	−19.5967	−	73.1360i	−0.777673	−	2.90231i
$636$	−13.1175	+	0.906537i	−0.520143	+	0.0359465i
$637$	3.11140	−	0.634211i	0.123278	−	0.0251284i
$638$	−5.17893	−	11.6599i	−0.205036	−	0.461619i
$639$	13.1881	−	24.9185i	0.521712	−	0.985760i
$640$	−20.0870	+	38.8250i	−0.794007	+	1.53469i
$641$	−24.8726	+	14.3602i	−0.982410	+	0.567195i	−0.902997	−	0.429647i	$-0.858638\pi$
$641$	−24.8726	+	14.3602i	−0.982410	+	0.567195i	−0.0794130	+	0.996842i	$0.525305\pi$
$642$	−9.46647	−	11.2800i	−0.373612	−	0.445187i
$643$	16.7294	−	16.7294i	0.659745	−	0.659745i	−0.295575	−	0.955320i	$-0.595511\pi$
$643$	16.7294	−	16.7294i	0.659745	−	0.659745i	0.955320	+	0.295575i	$0.0955111\pi$
$644$	25.7883	+	42.6507i	1.01620	+	1.68067i
$645$	−0.512093	−	27.8077i	−0.0201636	−	1.09493i
$646$	−16.4426	+	13.2908i	−0.646924	+	0.522919i
$647$	34.3076	−	19.8075i	1.34877	−	0.778712i	0.360694	−	0.932684i	$-0.382540\pi$
$647$	34.3076	−	19.8075i	1.34877	−	0.778712i	0.988075	+	0.153972i	$0.0492066\pi$
$648$	−7.04543	−	24.4614i	−0.276771	−	0.960936i
$649$	0.167550	−	0.290205i	0.00657692	−	0.0113916i
$650$	2.28788	−	5.94437i	0.0897381	−	0.233157i
$651$	−19.0542	+	18.6043i	−0.746794	+	0.729161i
$652$	−33.6404	+	1.70318i	−1.31746	+	0.0667016i
$653$	11.3989	+	42.5411i	0.446072	+	1.66476i	0.713091	+	0.701072i	$0.247295\pi$
$653$	11.3989	+	42.5411i	0.446072	+	1.66476i	−0.267019	+	0.963691i	$0.586039\pi$
$654$	−24.2537	+	4.27840i	−0.948394	+	0.167299i
$655$	5.15844	+	8.93468i	0.201557	+	0.349107i
$656$	−1.10971	+	2.46883i	−0.0433268	+	0.0963916i
$657$	12.3882	−	0.456425i	0.483310	−	0.0178068i
$658$	−4.21269	−	5.54806i	−0.164228	−	0.216286i
$659$	6.88689	−	6.88689i	0.268275	−	0.268275i	−0.560130	−	0.828405i	$-0.689249\pi$
$659$	6.88689	−	6.88689i	0.268275	−	0.268275i	0.828405	+	0.560130i	$0.189249\pi$
$660$	−5.37208	−	15.6430i	−0.209108	−	0.608903i
$661$	2.08969	−	7.79885i	0.0812797	−	0.303340i	−0.913304	−	0.407278i	$-0.866478\pi$
$661$	2.08969	−	7.79885i	0.0812797	−	0.303340i	0.994584	+	0.103939i	$0.0331445\pi$
$662$	−0.834131	−	5.29690i	−0.0324194	−	0.205870i
$663$	−0.746463	−	2.59382i	−0.0289902	−	0.100736i
$664$	6.47879	+	12.7994i	0.251426	+	0.496714i
$665$	10.2045	+	43.3014i	0.395714	+	1.67916i
$666$	−25.2821	−	8.67611i	−0.979661	−	0.336193i
$667$	−17.7973	−	66.4203i	−0.689112	−	2.57180i
$668$	1.60219	−	7.47250i	0.0619906	−	0.289120i
$669$	−24.9760	+	15.0398i	−0.965629	+	0.581471i
$670$	6.47262	+	0.686105i	0.250059	+	0.0265066i
$671$	4.89938			0.189138
$672$	24.9264	+	7.11863i	0.961557	+	0.274607i
$673$	3.62883			0.139881			0.0699406	−	0.997551i	$-0.477719\pi$
$673$	3.62883			0.139881			0.0699406	+	0.997551i	$0.477719\pi$
$674$	10.6436	+	1.12823i	0.409975	+	0.0434578i
$675$	−43.1865	+	28.2228i	−1.66225	+	1.08630i
$676$	−5.36453	+	25.0198i	−0.206328	+	0.962300i
$677$	−8.07997	−	30.1549i	−0.310538	−	1.15895i	−0.928072	−	0.372401i	$-0.878535\pi$
$677$	−8.07997	−	30.1549i	−0.310538	−	1.15895i	0.617534	−	0.786545i	$-0.288132\pi$
$678$	20.8678	−	9.73268i	0.801424	−	0.373781i
$679$	−8.88297	−	2.67169i	−0.340897	−	0.102530i
$680$	33.4952	−	16.9546i	1.28448	−	0.650177i
$681$	−18.1996	+	5.23756i	−0.697409	+	0.200704i
$682$	1.57981	+	10.0321i	0.0604942	+	0.384151i
$683$	−1.63849	+	6.11494i	−0.0626952	+	0.233982i	−0.990162	−	0.139923i	$-0.955315\pi$
$683$	−1.63849	+	6.11494i	−0.0626952	+	0.233982i	0.927467	+	0.373905i	$0.121981\pi$
$684$	23.6666	+	11.0317i	0.904916	+	0.421808i
$685$	17.1413	−	17.1413i	0.654937	−	0.654937i
$686$	21.7824	−	14.5439i	0.831657	−	0.555290i
$687$	9.79975	+	9.44534i	0.373884	+	0.360362i
$688$	15.5406	−	5.90230i	0.592480	−	0.225023i
$689$	0.860921	+	1.49116i	0.0327985	+	0.0568086i
$690$	−15.4861	−	87.7887i	−0.589547	−	3.34206i
$691$	−7.00259	−	26.1340i	−0.266391	−	0.994185i	−0.961393	−	0.275177i	$-0.911263\pi$
$691$	−7.00259	−	26.1340i	−0.266391	−	0.994185i	0.695002	−	0.719007i	$-0.255403\pi$
$692$	41.1552	−	2.08364i	1.56449	−	0.0792083i
$693$	−8.46243	+	4.95903i	−0.321461	+	0.188378i
$694$	8.19723	−	21.2980i	0.311163	−	0.808462i
$695$	7.84181	−	13.5824i	0.297457	−	0.515210i
$696$	−30.2980	−	19.0040i	−1.14844	−	0.720345i
$697$	2.01317	−	1.16231i	0.0762544	−	0.0440255i
$698$	−34.7698	+	28.1050i	−1.31606	+	1.06379i
$699$	6.36300	−	0.117178i	0.240671	−	0.00443207i
$700$	−1.06255	−	52.5266i	−0.0401605	−	1.98532i
$701$	4.90598	−	4.90598i	0.185296	−	0.185296i	−0.608363	−	0.793659i	$-0.708173\pi$
$701$	4.90598	−	4.90598i	0.185296	−	0.185296i	0.793659	+	0.608363i	$0.208173\pi$
$702$	−2.47279	+	2.23545i	−0.0933294	+	0.0843717i
$703$	23.7445	−	13.7089i	0.895540	−	0.517041i
$704$	7.71583	−	6.18045i	0.290801	−	0.232934i
$705$	3.44581	+	11.9736i	0.129777	+	0.450951i
$706$	8.74974	+	19.6992i	0.329301	+	0.741391i
$707$	−15.6039	+	25.2259i	−0.586844	+	0.948718i
$708$	−0.0647644	−	0.937136i	−0.00243400	−	0.0352197i
$709$	2.23636	+	8.34621i	0.0839883	+	0.313449i	0.995121	−	0.0986652i	$-0.0314573\pi$
$709$	2.23636	+	8.34621i	0.0839883	+	0.313449i	−0.911132	+	0.412114i	$0.864791\pi$
$710$	−7.98806	−	50.7258i	−0.299786	−	1.90371i
$711$	−16.0324	−	25.5479i	−0.601261	−	0.958120i
$712$	−18.4041	−	20.5495i	−0.689721	−	0.770125i
$713$			54.7365i			2.04990i
$714$	−13.7874	−	17.4800i	−0.515981	−	0.654174i
$715$	−1.53151	+	1.53151i	−0.0572754	+	0.0572754i
$716$	−8.08624	−	4.13823i	−0.302197	−	0.154653i
$717$	16.1859	−	9.74665i	0.604474	−	0.363995i
$718$	−15.2465	+	20.9459i	−0.568995	+	0.781695i
$719$	16.1227	−	27.9253i	0.601274	−	1.04144i	−0.391355	−	0.920240i	$-0.627993\pi$
$719$	16.1227	−	27.9253i	0.601274	−	1.04144i	0.992629	−	0.121197i	$-0.0386732\pi$
$720$	−36.9833	−	27.9635i	−1.37829	−	1.04214i
$721$	16.4462	+	17.4764i	0.612490	+	0.650857i
$722$	0.0787002	−	0.0349560i	0.00292892	−	0.00130093i
$723$	0.846248	+	0.468021i	0.0314723	+	0.0174059i
$724$	−17.3478	−	26.8173i	−0.644726	−	0.996658i
$725$	−18.7601	+	70.0137i	−0.696733	+	2.60024i
$726$	2.02066	−	23.1157i	0.0749938	−	0.857905i
$727$	45.2555			1.67844			0.839218	−	0.543796i	$-0.183013\pi$
$727$	45.2555			1.67844			0.839218	+	0.543796i	$0.183013\pi$
$728$	−0.595773	−	3.34194i	−0.0220808	−	0.123860i
$729$	26.8354	−	2.97691i	0.993903	−	0.110256i
$730$	17.5599	−	14.1939i	0.649920	−	0.525341i
$731$	−13.7902	−	3.69508i	−0.510051	−	0.136668i
$732$	11.3924	−	7.67080i	0.421076	−	0.283521i
$733$	12.8642	+	48.0098i	0.475149	+	1.77328i	0.620826	+	0.783948i	$0.286797\pi$
$733$	12.8642	+	48.0098i	0.475149	+	1.77328i	−0.145677	+	0.989332i	$0.546536\pi$
$734$	12.6081	−	5.60010i	0.465374	−	0.206703i
$735$	−45.7217	+	10.1999i	−1.68647	+	0.376230i
$736$	46.2614	−	26.4362i	1.70522	−	0.974450i
$737$	−1.27479	−	0.736002i	−0.0469576	−	0.0271110i
$738$	−2.38179	−	1.60296i	−0.0876749	−	0.0590057i
$739$	−3.83906	+	14.3276i	−0.141222	+	0.527048i	0.858673	+	0.512525i	$0.171290\pi$
$739$	−3.83906	+	14.3276i	−0.141222	+	0.527048i	−0.999895	+	0.0145230i	$0.995377\pi$
$740$	−46.3285	+	14.9622i	−1.70307	+	0.550022i
$741$	−0.0629576	−	3.41873i	−0.00231281	−	0.125590i
$742$	11.2235	+	8.70281i	0.412028	+	0.319490i
$743$	14.1907			0.520605			0.260303	−	0.965527i	$-0.416178\pi$
$743$	14.1907			0.520605			0.260303	+	0.965527i	$0.416178\pi$
$744$	19.3805	+	20.8541i	0.710524	+	0.764547i
$745$	−38.2099	−	66.1814i	−1.39990	−	2.42470i
$746$	1.87087	+	11.8804i	0.0684975	+	0.434973i
$747$	−14.5425	+	4.47665i	−0.532083	+	0.163792i
$748$	−8.47935	+	0.429300i	−0.310036	+	0.0156968i
$749$	−0.482823	+	15.8985i	−0.0176420	+	0.580918i
$750$	−15.9506	+	43.8338i	−0.582433	+	1.60059i
$751$	−27.0385	+	46.8320i	−0.986647	+	1.70892i	−0.352273	+	0.935897i	$0.614591\pi$
$751$	−27.0385	+	46.8320i	−0.986647	+	1.70892i	−0.634375	+	0.773026i	$0.718742\pi$
$752$	−6.04038	+	4.35593i	−0.220270	+	0.158844i
$753$	35.3215	+	8.77063i	1.28719	+	0.319620i
$754$	−0.493682	+	4.65732i	−0.0179788	+	0.169610i
$755$	−46.8330	−	46.8330i	−1.70443	−	1.70443i
$756$	−11.9133	+	24.7805i	−0.433283	+	0.901258i
$757$	−8.32110	+	8.32110i	−0.302435	+	0.302435i	−0.841966	−	0.539531i	$-0.818602\pi$
$757$	−8.32110	+	8.32110i	−0.302435	+	0.302435i	0.539531	+	0.841966i	$0.318602\pi$
$758$	−36.9389	+	29.8583i	−1.34168	+	1.08450i
$759$	−4.85842	+	19.5661i	−0.176349	+	0.710203i
$760$	46.5461	−	9.76428i	1.68840	−	0.354188i
$761$	−6.71373	−	3.87617i	−0.243372	−	0.140511i	0.373353	−	0.927689i	$-0.378208\pi$
$761$	−6.71373	−	3.87617i	−0.243372	−	0.140511i	−0.616726	+	0.787178i	$0.711541\pi$
$762$	20.2894	+	43.5025i	0.735008	+	1.57593i
$763$	22.6232	+	13.9939i	0.819013	+	0.506613i
$764$	−17.0120	−	15.3724i	−0.615471	−	0.556153i
$765$	11.7151	+	38.0568i	0.423560	+	1.37595i
$766$	−21.8761	+	30.0537i	−0.790414	+	1.08588i
$767$	−0.106531	+	0.0615056i	−0.00384661	+	0.00222084i
$768$	8.26492	−	26.4517i	0.298235	−	0.954493i
$769$		−	44.6240i		−	1.60918i	−0.593830	−	0.804591i	$-0.702385\pi$
$769$		−	44.6240i		−	1.60918i	0.593830	−	0.804591i	$-0.297615\pi$
$770$	−6.92017	+	16.4702i	−0.249386	+	0.593546i
$771$	−30.9716	+	0.570358i	−1.11541	+	0.0205409i
$772$	−1.93535	−	5.99256i	−0.0696549	−	0.215677i
$773$	21.5824	+	5.78299i	0.776266	+	0.208000i	0.625138	−	0.780514i	$-0.285043\pi$
$773$	21.5824	+	5.78299i	0.776266	+	0.208000i	0.151128	+	0.988514i	$0.451709\pi$
$774$	3.38224	+	17.3047i	0.121572	+	0.622003i
$775$	28.8489	−	49.9678i	1.03628	−	1.79490i
$776$	−3.08946	+	9.42297i	−0.110905	+	0.338265i
$777$	14.1358	+	25.1737i	0.507119	+	0.903101i
$778$	2.53564	−	6.58811i	0.0909073	−	0.236195i
$779$	2.84455	−	0.762196i	0.101917	−	0.0273085i
$780$	−1.16335	+	5.95904i	−0.0416548	+	0.213368i
$781$	−3.00571	+	11.2175i	−0.107553	+	0.401393i
$782$	−45.5047	−	4.82355i	−1.62724	−	0.172490i
$783$	25.3017	−	28.2636i	0.904208	−	1.01006i
$784$	−14.9692	−	23.6627i	−0.534614	−	0.845096i
$785$			0.656790i			0.0234418i
$786$	−4.20455	−	5.01004i	−0.149971	−	0.178702i
$787$	−12.5736	−	3.36908i	−0.448200	−	0.120095i	0.0276569	−	0.999617i	$-0.491195\pi$
$787$	−12.5736	−	3.36908i	−0.448200	−	0.120095i	−0.475857	+	0.879523i	$0.657862\pi$
$788$	24.5669	+	37.9771i	0.875160	+	1.35288i
$789$	3.73334	−	6.75040i	0.132910	−	0.240321i
$790$	−51.2701	−	19.7329i	−1.82411	−	0.702066i
$791$	−23.8169	−	7.16330i	−0.846831	−	0.254698i
$792$	5.07674	+	9.17470i	0.180394	+	0.326009i
$793$	−1.55755	−	0.899251i	−0.0553101	−	0.0319333i
$794$	5.02347	+	31.9001i	0.178276	+	1.13209i
$795$	−13.1038	−	21.7611i	−0.464746	−	0.771787i
$796$	−0.513127	−	1.58883i	−0.0181873	−	0.0563146i
$797$	−35.9536	−	35.9536i	−1.27354	−	1.27354i	−0.944217	−	0.329323i	$-0.893179\pi$
$797$	−35.9536	−	35.9536i	−1.27354	−	1.27354i	−0.329323	−	0.944217i	$-0.606821\pi$
$798$	−11.1398	−	25.9104i	−0.394346	−	0.917217i
$799$	6.39575			0.226265
$800$	−56.1643	−	0.249112i	−1.98571	−	0.00880744i
$801$	24.7836	−	15.5528i	0.875685	−	0.549530i
$802$	−7.56615	−	5.50739i	−0.267170	−	0.194473i
$803$	−4.93235	+	1.32162i	−0.174059	+	0.0466389i
$804$	−4.11659	+	0.284493i	−0.145181	+	0.0100333i
$805$	−50.6523	+	81.8869i	−1.78526	+	2.88613i
$806$	1.33910	−	3.47926i	0.0471679	−	0.122552i
$807$	4.93393	−	1.41991i	0.173682	−	0.0499831i
$808$	26.5481	+	17.3412i	0.933959	+	0.610060i
$809$	−20.0973	−	34.8095i	−0.706583	−	1.22384i	−0.966117	−	0.258104i	$-0.916902\pi$
$809$	−20.0973	−	34.8095i	−0.706583	−	1.22384i	0.259534	−	0.965734i	$-0.416431\pi$
$810$	35.8670	−	33.6451i	1.26024	−	1.18217i
$811$	21.1874	+	21.1874i	0.743989	+	0.743989i	0.973343	−	0.229354i	$-0.0736614\pi$
$811$	21.1874	+	21.1874i	0.743989	+	0.743989i	−0.229354	+	0.973343i	$0.573661\pi$
$812$	10.7509	+	37.1042i	0.377282	+	1.30210i
$813$	−0.638974	−	34.6976i	−0.0224098	−	1.21690i
$814$	10.9489	+	1.16059i	0.383758	+	0.0406788i
$815$	−32.5363	−	56.3545i	−1.13970	−	1.97401i
$816$	−19.0447	+	14.2741i	−0.666698	+	0.499693i
$817$	−15.6631	−	9.04310i	−0.547983	−	0.316378i
$818$	10.7584	+	24.2217i	0.376160	+	0.846891i
$819$	3.60047	−	0.0232850i	0.125811	−	0.000813644i
$820$	−5.22245	+	0.264407i	−0.182376	+	0.00923350i
$821$	22.8912	−	6.13368i	0.798909	−	0.214067i	0.163804	−	0.986493i	$-0.447623\pi$
$821$	22.8912	−	6.13368i	0.798909	−	0.214067i	0.635105	+	0.772426i	$0.280957\pi$
$822$	−8.81396	+	12.5896i	−0.307422	+	0.439113i
$823$	8.50362	−	4.90957i	0.296418	−	0.171137i	−0.344415	−	0.938818i	$-0.611923\pi$
$823$	8.50362	−	4.90957i	0.296418	−	0.171137i	0.640832	+	0.767681i	$0.278589\pi$
$824$	19.1110	−	17.1157i	0.665762	−	0.596254i
$825$	14.7475	−	15.3008i	0.513441	−	0.532706i
$826$	−0.621743	+	0.801826i	−0.0216332	+	0.0278991i
$827$	11.8285	+	11.8285i	0.411317	+	0.411317i	0.882197	−	0.470880i	$-0.156064\pi$
$827$	11.8285	+	11.8285i	0.411317	+	0.411317i	−0.470880	+	0.882197i	$0.656064\pi$
$828$	19.3368	+	53.1032i	0.672000	+	1.84546i
$829$	−14.9679	−	4.01063i	−0.519856	−	0.139295i	−0.0106562	−	0.999943i	$-0.503392\pi$
$829$	−14.9679	−	4.01063i	−0.519856	−	0.139295i	−0.509200	+	0.860648i	$0.670059\pi$
$830$	−16.3099	+	22.4068i	−0.566125	+	0.777753i
$831$	−11.6285	−	40.4068i	−0.403387	−	1.40170i
$832$	−3.58730	+	0.548616i	−0.124367	+	0.0190198i
$833$	−1.45922	+	24.0025i	−0.0505588	+	0.831639i
$834$	−3.39998	+	9.34349i	−0.117732	+	0.323539i
$835$	14.2610	−	3.82122i	0.493522	−	0.132239i
$836$	−10.5167	−	2.25489i	−0.363726	−	0.0779871i
$837$	−25.2772	+	16.5189i	−0.873707	+	0.570976i
$838$	−12.1308	−	15.0075i	−0.419052	−	0.518426i
$839$			4.10357i			0.141671i	0.997488	+	0.0708355i	$0.0225665\pi$
$839$			4.10357i			0.141671i	−0.997488	+	0.0708355i	$0.977433\pi$
$840$	9.69558	+	49.1325i	0.334529	+	1.69523i
$841$		−	24.2966i		−	0.837814i
$842$	17.1337	−	13.8495i	0.590467	−	0.477284i
$843$	11.7639	+	19.5359i	0.405170	+	0.672853i
$844$	−4.05166	−	6.26331i	−0.139464	−	0.215592i
$845$	−47.7494	+	12.7944i	−1.64263	+	0.440141i
$846$	−3.46999	−	7.09591i	−0.119301	−	0.243963i
$847$	−18.2520	+	17.1761i	−0.627148	+	0.590178i
$848$	9.59674	−	11.7654i	0.329553	−	0.404025i
$849$	−13.0627	+	3.75926i	−0.448312	+	0.129017i
$850$	38.9980	+	28.3866i	1.33762	+	0.973652i
$851$	57.3196	+	15.3587i	1.96489	+	0.526491i
$852$	10.5737	+	30.7897i	0.362249	+	1.05484i
$853$	−3.26465	−	3.26465i	−0.111779	−	0.111779i	0.649005	−	0.760784i	$-0.275185\pi$
$853$	−3.26465	−	3.26465i	−0.111779	−	0.111779i	−0.760784	+	0.649005i	$0.775185\pi$
$854$	−14.6977	−	2.01081i	−0.502946	−	0.0688084i
$855$	1.85728	+	50.4100i	0.0635177	+	1.72398i
$856$	16.9783	+	0.935109i	0.580307	+	0.0319614i
$857$	15.5636	−	8.98563i	0.531641	−	0.306943i	−0.210043	−	0.977692i	$-0.567360\pi$
$857$	15.5636	−	8.98563i	0.531641	−	0.306943i	0.741685	+	0.670749i	$0.234027\pi$
$858$	0.787495	−	1.12483i	0.0268846	−	0.0384012i
$859$	30.6336	−	8.20825i	1.04520	−	0.280062i	0.304936	−	0.952373i	$-0.401365\pi$
$859$	30.6336	−	8.20825i	1.04520	−	0.280062i	0.740269	+	0.672311i	$0.234698\pi$
$860$	23.8279	+	21.5314i	0.812526	+	0.734216i
$861$	0.766755	+	3.00470i	0.0261310	+	0.102400i
$862$	−1.38628	+	0.615739i	−0.0472169	+	0.0209721i
$863$	−22.4953	−	12.9877i	−0.765749	−	0.442105i	0.0656071	−	0.997846i	$-0.479102\pi$
$863$	−22.4953	−	12.9877i	−0.765749	−	0.442105i	−0.831356	+	0.555740i	$0.812435\pi$
$864$	26.1694	+	13.3852i	0.890300	+	0.455375i
$865$	39.8044	+	68.9432i	1.35339	+	2.34414i
$866$	−3.34210	+	31.5289i	−0.113569	+	1.07140i
$867$	−9.00332	+	0.165801i	−0.305769	+	0.00563089i
$868$	−0.621912	−	30.7440i	−0.0211091	−	1.04352i
$869$	8.78513	+	8.78513i	0.298015	+	0.298015i
$870$	6.01684	−	68.8307i	0.203990	−	2.33358i
$871$	0.270177	+	0.467961i	0.00915461	+	0.0158562i
$872$	15.5519	−	23.8089i	0.526655	−	0.806272i
$873$	−9.29635	−	4.92008i	−0.314634	−	0.166520i
$874$	−54.1010	−	20.8225i	−1.82999	−	0.704332i
$875$	44.3777	−	23.8555i	1.50024	−	0.806463i
$876$	−9.39987	+	10.7956i	−0.317592	+	0.364748i
$877$	44.0574	−	11.8051i	1.48771	−	0.398631i	0.578749	−	0.815506i	$-0.303541\pi$
$877$	44.0574	−	11.8051i	1.48771	−	0.398631i	0.908964	+	0.416875i	$0.136875\pi$
$878$	−25.0054	+	34.3528i	−0.843891	+	1.15935i
$879$	−7.51489	−	1.86601i	−0.253471	−	0.0629390i
$880$	17.4196	+	7.82990i	0.587216	+	0.263946i
$881$	−56.6583			−1.90887			−0.954433	−	0.298425i	$-0.903539\pi$
$881$	−56.6583			−1.90887			−0.954433	+	0.298425i	$0.903539\pi$
$882$	27.4219	−	11.4035i	0.923343	−	0.383977i
$883$	6.19836	+	6.19836i	0.208592	+	0.208592i	0.803669	−	0.595077i	$-0.202878\pi$
$883$	6.19836	+	6.19836i	0.208592	+	0.208592i	−0.595077	+	0.803669i	$0.702878\pi$
$884$	2.77444	+	1.41985i	0.0933146	+	0.0477549i
$885$	1.55465	−	0.936160i	0.0522589	−	0.0314687i
$886$	−16.5273	+	2.60265i	−0.555247	+	0.0874377i
$887$	26.4271	+	15.2577i	0.887336	+	0.512303i	0.873070	−	0.487595i	$-0.162126\pi$
$887$	26.4271	+	15.2577i	0.887336	+	0.512303i	0.0142655	+	0.999898i	$0.495459\pi$
$888$	27.2763	−	14.4436i	0.915332	−	0.484695i
$889$	14.9331	−	49.6503i	0.500840	−	1.66522i
$890$	19.1426	−	49.7363i	0.641662	−	1.66716i
$891$	−10.5018	+	3.66123i	−0.351823	+	0.122656i
$892$	7.05775	−	32.9168i	0.236311	−	1.10214i
$893$	7.82627	+	2.09704i	0.261896	+	0.0701748i
$894$	31.1441	+	37.1106i	1.04162	+	1.24117i
$895$		−	17.5485i		−	0.586580i
$896$	−25.6834	+	15.3741i	−0.858022	+	0.513612i
$897$	5.13576	−	5.32846i	0.171478	−	0.177912i
$898$	0.231348	−	2.18250i	0.00772018	−	0.0728311i
$899$	−10.9803	+	40.9792i	−0.366215	+	1.36673i
$900$	10.3360	−	58.6683i	0.344532	−	1.95561i
$901$	−12.5950	+	3.37483i	−0.419602	+	0.112432i
$902$	1.10367	+	0.424781i	0.0367480	+	0.0141437i
$903$	9.71877	−	16.3784i	0.323420	−	0.545039i
$904$	−8.28341	+	25.2647i	−0.275502	+	0.840292i
$905$	30.8514	−	53.4362i	1.02554	−	1.77628i
$906$	34.3969	+	24.0812i	1.14276	+	0.800045i
$907$	−7.40093	−	1.98307i	−0.245744	−	0.0658468i	0.133845	−	0.991002i	$-0.457268\pi$
$907$	−7.40093	−	1.98307i	−0.245744	−	0.0658468i	−0.379588	+	0.925155i	$0.623934\pi$
$908$	9.96240	−	19.4669i	0.330614	−	0.646030i
$909$	−22.8907	+	24.6419i	−0.759235	+	0.817321i
$910$	5.22298	−	3.96585i	0.173140	−	0.131467i
$911$			11.6869i			0.387203i	0.981080	+	0.193602i	$0.0620169\pi$
$911$			11.6869i			0.387203i	−0.981080	+	0.193602i	$0.937983\pi$
$912$	−27.9846	+	11.2223i	−0.926662	+	0.371609i
$913$	5.42796	−	3.13384i	0.179639	−	0.103715i
$914$	−3.69285	−	2.68802i	−0.122149	−	0.0889119i
$915$	23.2185	+	12.8411i	0.767579	+	0.424513i
$916$	−15.6961	+	0.794677i	−0.518614	+	0.0262569i
$917$	−0.214446	+	7.06134i	−0.00708164	+	0.233186i
$918$	−11.5053	−	22.4696i	−0.379732	−	0.741608i
$919$	−27.6242	−	15.9488i	−0.911237	−	0.526103i	−0.0304081	−	0.999538i	$-0.509681\pi$
$919$	−27.6242	−	15.9488i	−0.911237	−	0.526103i	−0.880829	+	0.473435i	$0.843014\pi$
$920$	86.1788	+	56.2918i	2.84123	+	1.85589i
$921$	46.4884	+	11.5435i	1.53185	+	0.380370i
$922$	−12.9223	−	15.9867i	−0.425575	−	0.526495i
$923$	3.01443	−	3.01443i	0.0992213	−	0.0992213i
$924$	2.50653	−	11.0449i	0.0824589	−	0.363351i
$925$	−44.2310	−	44.2310i	−1.45431	−	1.45431i
$926$	46.2648	+	4.90413i	1.52036	+	0.161160i
$927$	14.4640	+	23.0487i	0.475061	+	0.757017i
$928$	39.9374	−	10.5116i	1.31101	−	0.345059i
$929$	26.7208	−	46.2818i	0.876682	−	1.51846i	0.0217212	−	0.999764i	$-0.493085\pi$
$929$	26.7208	−	46.2818i	0.876682	−	1.51846i	0.854960	−	0.518693i	$-0.173581\pi$
$930$	−18.8070	+	51.6836i	−0.616707	+	1.69477i
$931$	−9.65556	+	28.8927i	−0.316448	+	0.946919i
$932$	−4.92686	+	5.45234i	−0.161385	+	0.178597i
$933$	−22.2145	−	12.2858i	−0.727270	−	0.402220i
$934$	16.4801	−	2.59521i	0.539245	−	0.0849177i
$935$	−8.20103	−	14.2046i	−0.268202	−	0.464540i
$936$	0.0700284	−	3.84851i	0.00228895	−	0.125792i
$937$	−13.6445			−0.445746			−0.222873	−	0.974847i	$-0.571544\pi$
$937$	−13.6445			−0.445746			−0.222873	+	0.974847i	$0.571544\pi$
$938$	3.52220	+	2.73115i	0.115004	+	0.0891751i
$939$	−47.4243	+	0.873344i	−1.54763	+	0.0285005i
$940$	−12.8073	−	6.55431i	−0.417729	−	0.213778i
$941$	6.92198	−	25.8332i	0.225650	−	0.842138i	−0.756493	−	0.654002i	$-0.773089\pi$
$941$	6.92198	−	25.8332i	0.225650	−	0.842138i	0.982143	−	0.188136i	$-0.0602445\pi$
$942$	−0.0723340	−	0.410051i	−0.00235677	−	0.0133602i
$943$	5.51986	+	3.18689i	0.179751	+	0.103780i
$944$	0.840537	+	0.685606i	0.0273572	+	0.0223146i
$945$	−53.1015	+	1.32147i	−1.72739	+	0.0429873i
$946$	−2.94821	−	6.63762i	−0.0958545	−	0.215808i
$947$	0.603938	+	2.25393i	0.0196254	+	0.0732428i	0.975044	−	0.222012i	$-0.0712623\pi$
$947$	0.603938	+	2.25393i	0.0196254	+	0.0732428i	−0.955419	+	0.295254i	$0.904596\pi$
$948$	34.1825	+	6.67328i	1.11020	+	0.216738i
$949$	1.81060	+	0.485150i	0.0587747	+	0.0157486i
$950$	38.4131	+	47.5224i	1.24629	+	1.54183i
$951$	−31.5258	+	32.7087i	−1.02230	+	1.06065i
$952$	25.6135	+	2.19223i	0.830139	+	0.0710507i
$953$	−0.910500			−0.0294940			−0.0147470	−	0.999891i	$-0.504694\pi$
$953$	−0.910500			−0.0294940			−0.0147470	+	0.999891i	$0.504694\pi$
$954$	10.5777	+	12.1429i	0.342465	+	0.393140i
$955$	11.4644	−	42.7858i	0.370980	−	1.38452i
$956$	−4.57383	+	21.3320i	−0.147928	+	0.689927i
$957$	−7.56235	+	13.6738i	−0.244456	+	0.442011i
$958$	5.09299	+	11.4664i	0.164547	+	0.370463i
$959$	16.1570	−	3.80761i	0.521738	−	0.122954i
$960$	52.7645	−	9.06666i	1.70297	−	0.292625i
$961$	1.38535	−	2.39950i	0.0446887	−	0.0774031i
$962$	−3.26770	−	2.37856i	−0.105355	−	0.0766878i
$963$	−4.02335	+	17.5810i	−0.129651	+	0.566540i
$964$	−1.06261	+	0.343179i	−0.0342243	+	0.0110530i
$965$	8.60244	−	8.60244i	0.276922	−	0.276922i
$966$	22.6052	−	56.7026i	0.727309	−	1.82438i
$967$		−	34.5503i		−	1.11106i	−0.831496	−	0.555531i	$-0.812515\pi$
$967$		−	34.5503i		−	1.11106i	0.831496	−	0.555531i	$-0.187485\pi$
$968$	17.8753	+	19.9591i	0.574534	+	0.641510i
$969$	25.1309	+	6.24022i	0.807322	+	0.200465i
$970$	−18.9243	+	2.98011i	−0.607622	+	0.0956855i
$971$	8.68287	+	32.4049i	0.278647	+	1.03992i	0.953358	+	0.301842i	$0.0976015\pi$
$971$	8.68287	+	32.4049i	0.278647	+	1.03992i	−0.674711	+	0.738082i	$0.735732\pi$
$972$	−18.6873	+	24.9557i	−0.599395	+	0.800453i
$973$	9.45942	−	5.08497i	0.303255	−	0.163017i
$974$	31.0373	−	13.7857i	0.994499	−	0.441723i
$975$	−7.49669	+	2.15743i	−0.240086	+	0.0690932i
$976$	−2.53644	+	15.6547i	−0.0811895	+	0.501096i
$977$	29.5421	−	17.0561i	0.945135	−	0.545674i	0.0535688	−	0.998564i	$-0.482940\pi$
$977$	29.5421	−	17.0561i	0.945135	−	0.545674i	0.891566	+	0.452890i	$0.149607\pi$
$978$	26.5197	+	31.6003i	0.848006	+	1.01046i
$979$	−8.52232	+	8.52232i	−0.272375	+	0.272375i
$980$	27.5196	−	46.5691i	0.879083	−	1.48760i
$981$	22.0994	+	20.5288i	0.705580	+	0.655436i
$982$	−0.596675	−	0.738170i	−0.0190407	−	0.0235559i
$983$	2.30471	−	1.33062i	0.0735087	−	0.0424403i	−0.462795	−	0.886465i	$-0.653153\pi$
$983$	2.30471	−	1.33062i	0.0735087	−	0.0424403i	0.536304	+	0.844025i	$0.319820\pi$
$984$	3.23139	−	0.740239i	0.103013	−	0.0235979i
$985$	−43.6898	+	75.6730i	−1.39207	+	2.41114i
$986$	−33.1001	−	12.7396i	−1.05412	−	0.405712i
$987$	−2.30648	+	8.21412i	−0.0734162	+	0.261458i
$988$	2.92945	+	2.64711i	0.0931982	+	0.0842159i
$989$	−10.1314	−	37.8110i	−0.322161	−	1.20232i
$990$	−11.3102	+	16.8055i	−0.359462	+	0.534113i
$991$	3.88922	+	6.73633i	0.123545	+	0.213987i	0.921163	−	0.389176i	$-0.127240\pi$
$991$	3.88922	+	6.73633i	0.123545	+	0.213987i	−0.797618	+	0.603163i	$0.793907\pi$
$992$	−32.8731	−	0.145806i	−1.04372	−	0.00462934i
$993$	−4.55749	+	4.72850i	−0.144628	+	0.150054i
$994$	13.6208	−	32.4179i	0.432024	−	1.02823i
$995$	2.28080	−	2.28080i	0.0723061	−	0.0723061i
$996$	7.71498	−	15.7854i	0.244458	−	0.500180i
$997$	2.67296	−	9.97562i	0.0846535	−	0.315931i	−0.910595	−	0.413300i	$-0.864376\pi$
$997$	2.67296	−	9.97562i	0.0846535	−	0.315931i	0.995248	+	0.0973690i	$0.0310427\pi$
$998$	26.7545	−	4.21318i	0.846900	−	0.133366i
$999$	10.2058	+	31.1051i	0.322898	+	0.984123i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bo.a.173.58	yes	240
3.2	odd	2	inner	336.2.bo.a.173.3	yes	240
7.3	odd	6	inner	336.2.bo.a.269.19	yes	240
16.5	even	4	inner	336.2.bo.a.5.42	yes	240
21.17	even	6	inner	336.2.bo.a.269.42	yes	240
48.5	odd	4	inner	336.2.bo.a.5.19	✓	240
112.101	odd	12	inner	336.2.bo.a.101.3	yes	240
336.101	even	12	inner	336.2.bo.a.101.58	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bo.a.5.19	✓	240	48.5	odd	4	inner
336.2.bo.a.5.42	yes	240	16.5	even	4	inner
336.2.bo.a.101.3	yes	240	112.101	odd	12	inner
336.2.bo.a.101.58	yes	240	336.101	even	12	inner
336.2.bo.a.173.3	yes	240	3.2	odd	2	inner
336.2.bo.a.173.58	yes	240	1.1	even	1	trivial
336.2.bo.a.269.19	yes	240	7.3	odd	6	inner
336.2.bo.a.269.42	yes	240	21.17	even	6	inner

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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bo (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.40633 + 0.149073i) q^{2} +(-0.893497 - 1.48380i) q^{3} +(1.95555 + 0.419293i) q^{4} +(1.00001 + 3.73210i) q^{5} +(-1.03536 - 2.21992i) q^{6} +(-0.762031 + 2.53364i) q^{7} +(2.68766 + 0.881188i) q^{8} +(-1.40333 + 2.65154i) q^{9} +O(q^{10})\)	\(q+(1.40633 + 0.149073i) q^{2} +(-0.893497 - 1.48380i) q^{3} +(1.95555 + 0.419293i) q^{4} +(1.00001 + 3.73210i) q^{5} +(-1.03536 - 2.21992i) q^{6} +(-0.762031 + 2.53364i) q^{7} +(2.68766 + 0.881188i) q^{8} +(-1.40333 + 2.65154i) q^{9} +(0.849998 + 5.39766i) q^{10} +(0.319834 - 1.19364i) q^{11} +(-1.12513 - 3.27629i) q^{12} +(-0.320762 + 0.320762i) q^{13} +(-1.44937 + 3.44954i) q^{14} +(4.64419 - 4.81845i) q^{15} +(3.64839 + 1.63990i) q^{16} +(-1.71763 - 2.97503i) q^{17} +(-2.36882 + 3.51976i) q^{18} +(-1.12636 - 4.20362i) q^{19} +(0.390735 + 7.71763i) q^{20} +(4.44028 - 1.13310i) q^{21} +(0.627732 - 1.63097i) q^{22} +(4.70952 - 8.15713i) q^{23} +(-1.09391 - 4.77529i) q^{24} +(-8.59845 + 4.96432i) q^{25} +(-0.498916 + 0.403282i) q^{26} +(5.18823 - 0.286891i) q^{27} +(-2.55253 + 4.63515i) q^{28} +(5.16220 - 5.16220i) q^{29} +(7.24958 - 6.08402i) q^{30} +(-5.03270 + 2.90563i) q^{31} +(4.88639 + 2.85013i) q^{32} +(-2.05689 + 0.591941i) q^{33} +(-1.97207 - 4.43994i) q^{34} +(-10.2178 - 0.310306i) q^{35} +(-3.85605 + 4.59683i) q^{36} +(1.63060 + 6.08550i) q^{37} +(-0.957388 - 6.07961i) q^{38} +(0.762546 + 0.189347i) q^{39} +(-0.600987 + 10.9118i) q^{40} +0.676691i q^{41} +(6.41344 - 0.931584i) q^{42} +(2.93868 - 2.93868i) q^{43} +(1.12594 - 2.20012i) q^{44} +(-11.2992 - 2.58578i) q^{45} +(7.83918 - 10.7696i) q^{46} +(-0.930896 + 1.61236i) q^{47} +(-0.826535 - 6.87872i) q^{48} +(-5.83862 - 3.86142i) q^{49} +(-12.8323 + 5.69969i) q^{50} +(-2.87965 + 5.20680i) q^{51} +(-0.761761 + 0.492774i) q^{52} +(0.982408 - 3.66640i) q^{53} +(7.33915 + 0.369960i) q^{54} +4.77461 q^{55} +(-4.28069 + 6.13806i) q^{56} +(-5.23094 + 5.42721i) q^{57} +(8.02932 - 6.49023i) q^{58} +(0.261933 + 0.0701848i) q^{59} +(11.1023 - 7.47546i) q^{60} +(1.02615 + 3.82963i) q^{61} +(-7.51081 + 3.33605i) q^{62} +(-5.64867 - 5.57607i) q^{63} +(6.44702 + 4.73666i) q^{64} +(-1.51788 - 0.876350i) q^{65} +(-2.98092 + 0.525840i) q^{66} +(0.308303 - 1.15060i) q^{67} +(-2.11151 - 6.53802i) q^{68} +(-16.3115 + 0.300385i) q^{69} +(-14.3234 - 1.95960i) q^{70} -9.39773 q^{71} +(-6.10817 + 5.88985i) q^{72} +(-2.06610 - 3.57859i) q^{73} +(1.38599 + 8.80133i) q^{74} +(15.0487 + 8.32278i) q^{75} +(-0.440101 - 8.69268i) q^{76} +(2.78052 + 1.71993i) q^{77} +(1.04417 + 0.379960i) q^{78} +(-5.02696 + 8.70695i) q^{79} +(-2.47185 + 15.2561i) q^{80} +(-5.06135 - 7.44195i) q^{81} +(-0.100876 + 0.951654i) q^{82} +(3.58644 + 3.58644i) q^{83} +(9.15831 - 0.354048i) q^{84} +(9.38546 - 9.38546i) q^{85} +(4.57085 - 3.69469i) q^{86} +(-12.2721 - 3.04726i) q^{87} +(1.91142 - 2.92625i) q^{88} +(-8.44647 - 4.87657i) q^{89} +(-15.5050 - 5.32087i) q^{90} +(-0.568263 - 1.05712i) q^{91} +(12.6300 - 13.9770i) q^{92} +(8.80807 + 4.87134i) q^{93} +(-1.54951 + 2.12874i) q^{94} +(14.5620 - 8.40736i) q^{95} +(-0.136952 - 9.79700i) q^{96} +3.50602i q^{97} +(-7.63542 - 6.30082i) q^{98} +(2.71615 + 2.52311i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) \) 240 * q - 6 * q^3 - 4 * q^4	\( 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) \) 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Introduction

L-functions

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