LMFDB - Embedded newform 966.2.t.a.41.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(41,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("966.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.t (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$64$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			41.16
Character	$\chi$	$=$	966.41
Dual form			966.2.t.a.377.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(-0.0227709 - 1.73190i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.321156 + 2.23369i) q^{5} +(1.66816 + 0.466084i) q^{6} +(-1.72364 - 2.00725i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.99896 + 0.0788740i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(-0.0227709 - 1.73190i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.321156 + 2.23369i) q^{5} +(1.66816 + 0.466084i) q^{6} +(-1.72364 - 2.00725i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.99896 + 0.0788740i) q^{9} +(-2.05273 - 0.937451i) q^{10} +(1.06449 + 3.62533i) q^{11} +(-0.917180 + 1.46928i) q^{12} +(0.168449 + 0.0769282i) q^{13} +(2.41155 - 1.08831i) q^{14} +(3.87585 + 0.505348i) q^{15} +(0.415415 + 0.909632i) q^{16} +(5.96124 - 3.83106i) q^{17} +(0.769226 - 2.89971i) q^{18} +(1.34695 - 2.09589i) q^{19} +(1.47780 - 1.70547i) q^{20} +(-3.43711 + 3.03088i) q^{21} -3.77838 q^{22} +(-4.58731 + 1.39878i) q^{23} +(-1.15136 - 1.29397i) q^{24} +(-0.0887694 - 0.0260650i) q^{25} +(-0.121270 + 0.139953i) q^{26} +(0.204891 + 5.19211i) q^{27} +(0.364817 + 2.62048i) q^{28} +(5.04577 + 7.85137i) q^{29} +(-1.57683 + 3.57647i) q^{30} +(4.06934 - 3.52610i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(6.25447 - 1.92615i) q^{33} +(1.99640 + 6.79910i) q^{34} +(5.03714 - 3.20544i) q^{35} +(2.56553 + 1.55501i) q^{36} +(1.42810 + 9.93263i) q^{37} +(1.63152 + 1.88287i) q^{38} +(0.129396 - 0.293489i) q^{39} +(1.22004 + 1.89842i) q^{40} +(1.40639 - 9.78166i) q^{41} +(-1.93976 - 4.15178i) q^{42} +(1.51051 - 1.74322i) q^{43} +(1.06449 - 3.62533i) q^{44} +(0.786956 - 6.72409i) q^{45} +(-0.0497252 - 4.79557i) q^{46} +9.90179 q^{47} +(1.56593 - 0.740171i) q^{48} +(-1.05812 + 6.91956i) q^{49} +(0.0500184 - 0.0778302i) q^{50} +(-6.77075 - 10.2370i) q^{51} +(-0.100118 - 0.155787i) q^{52} +(10.0585 - 4.59358i) q^{53} +(-5.03952 - 1.26620i) q^{54} +(-8.43973 + 1.21345i) q^{55} +(-2.61711 - 0.388235i) q^{56} +(-3.66055 - 2.28506i) q^{57} +(-8.95489 + 2.62939i) q^{58} +(1.58077 - 3.46140i) q^{59} +(-2.98736 - 2.52057i) q^{60} +(-5.37034 + 4.65343i) q^{61} +(2.23681 + 4.89792i) q^{62} +(5.32746 + 5.88372i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-0.225933 + 0.351558i) q^{65} +(0.0860371 + 6.54377i) q^{66} +(2.31786 + 0.680586i) q^{67} -7.08614 q^{68} +(2.52701 + 7.91292i) q^{69} +(1.65647 + 5.73618i) q^{70} +(2.09544 - 7.13643i) q^{71} +(-2.21481 + 2.02351i) q^{72} +(1.08925 - 1.69491i) q^{73} +(-9.93263 - 1.42810i) q^{74} +(-0.0431207 + 0.154333i) q^{75} +(-2.26625 + 1.03496i) q^{76} +(5.44214 - 8.38546i) q^{77} +(0.245146 + 0.206840i) q^{78} +(3.20797 - 7.02447i) q^{79} +(-2.16525 + 0.635775i) q^{80} +(8.98756 - 0.473080i) q^{81} +(8.98920 + 4.10523i) q^{82} +(1.51789 + 10.5572i) q^{83} +(4.53010 - 0.691497i) q^{84} +(6.64291 + 14.5459i) q^{85} +(1.24705 + 1.94044i) q^{86} +(13.4829 - 8.91755i) q^{87} +(3.17857 + 2.04274i) q^{88} +(-7.97466 + 9.20324i) q^{89} +(6.23000 + 2.64947i) q^{90} +(-0.135932 - 0.470717i) q^{91} +(4.61533 + 1.30336i) q^{92} +(-6.19952 - 6.96740i) q^{93} +(-2.78966 + 9.50070i) q^{94} +(4.24900 + 3.68178i) q^{95} +(0.269014 + 1.71103i) q^{96} +(11.5597 + 1.66204i) q^{97} +(-6.34117 - 2.96473i) q^{98} +(-3.47832 - 10.7883i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) $ 640 * q + 64 * q^4 + 8 * q^9	$ 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) $ 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{6}{11}\right)$

Coefficient data

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

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

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

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	−0.0227709	−	1.73190i	−0.0131468	−	0.999914i
$3$	−0.0227709	−	1.73190i	−0.0131468	−	0.999914i
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	−0.321156	+	2.23369i	−0.143625	+	0.998937i	0.782750	+	0.622336i	$0.213816\pi$
$5$	−0.321156	+	2.23369i	−0.143625	+	0.998937i	−0.926376	+	0.376601i	$0.877093\pi$
$6$	1.66816	+	0.466084i	0.681024	+	0.190278i
$7$	−1.72364	−	2.00725i	−0.651475	−	0.758670i
$7$	−1.72364	−	2.00725i	−0.651475	−	0.758670i
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	−2.99896	+	0.0788740i	−0.999654	+	0.0262913i
$10$	−2.05273	−	0.937451i	−0.649130	−	0.296448i
$11$	1.06449	+	3.62533i	0.320956	+	1.09308i	0.949099	+	0.314979i	$0.101997\pi$
$11$	1.06449	+	3.62533i	0.320956	+	1.09308i	−0.628142	+	0.778098i	$0.716185\pi$
$12$	−0.917180	+	1.46928i	−0.264767	+	0.424144i
$13$	0.168449	+	0.0769282i	0.0467194	+	0.0213361i	0.438638	−	0.898664i	$-0.355461\pi$
$13$	0.168449	+	0.0769282i	0.0467194	+	0.0213361i	−0.391918	+	0.920000i	$0.628188\pi$
$14$	2.41155	−	1.08831i	0.644514	−	0.290864i
$15$	3.87585	+	0.505348i	1.00074	+	0.130480i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	5.96124	−	3.83106i	1.44581	−	0.929168i	0.446403	−	0.894832i	$-0.352705\pi$
$17$	5.96124	−	3.83106i	1.44581	−	0.929168i	0.999410	−	0.0343355i	$-0.0109315\pi$
$18$	0.769226	−	2.89971i	0.181308	−	0.683467i
$19$	1.34695	−	2.09589i	0.309011	−	0.480831i	−0.651663	−	0.758509i	$-0.725928\pi$
$19$	1.34695	−	2.09589i	0.309011	−	0.480831i	0.960674	+	0.277678i	$0.0895648\pi$
$20$	1.47780	−	1.70547i	0.330446	−	0.381355i
$21$	−3.43711	+	3.03088i	−0.750040	+	0.661393i
$22$	−3.77838			−0.805553
$23$	−4.58731	+	1.39878i	−0.956520	+	0.291666i
$23$	−4.58731	+	1.39878i	−0.956520	+	0.291666i
$24$	−1.15136	−	1.29397i	−0.235021	−	0.264131i
$25$	−0.0887694	−	0.0260650i	−0.0177539	−	0.00521301i
$26$	−0.121270	+	0.139953i	−0.0237830	+	0.0274470i
$27$	0.204891	+	5.19211i	0.0394313	+	0.999222i
$28$	0.364817	+	2.62048i	0.0689439	+	0.495224i
$29$	5.04577	+	7.85137i	0.936975	+	1.45796i	0.888362	+	0.459144i	$0.151844\pi$
$29$	5.04577	+	7.85137i	0.936975	+	1.45796i	0.0486137	+	0.998818i	$0.484520\pi$
$30$	−1.57683	+	3.57647i	−0.287888	+	0.652972i
$31$	4.06934	−	3.52610i	0.730875	−	0.633307i	−0.207776	−	0.978177i	$-0.566622\pi$
$31$	4.06934	−	3.52610i	0.730875	−	0.633307i	0.938651	+	0.344870i	$0.112077\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	6.25447	−	1.92615i	1.08876	−	0.335299i
$34$	1.99640	+	6.79910i	0.342379	+	1.16604i
$35$	5.03714	−	3.20544i	0.851432	−	0.541818i
$36$	2.56553	+	1.55501i	0.427588	+	0.259168i
$37$	1.42810	+	9.93263i	0.234778	+	1.63291i	0.676981	+	0.736000i	$0.263288\pi$
$37$	1.42810	+	9.93263i	0.234778	+	1.63291i	−0.442204	+	0.896915i	$0.645803\pi$
$38$	1.63152	+	1.88287i	0.264667	+	0.305442i
$39$	0.129396	−	0.293489i	0.0207200	−	0.0469959i
$40$	1.22004	+	1.89842i	0.192906	+	0.300167i
$41$	1.40639	−	9.78166i	0.219641	−	1.52764i	−0.519725	−	0.854334i	$-0.673965\pi$
$41$	1.40639	−	9.78166i	0.219641	−	1.52764i	0.739366	−	0.673304i	$-0.235125\pi$
$42$	−1.93976	−	4.15178i	−0.299312	−	0.640634i
$43$	1.51051	−	1.74322i	0.230350	−	0.265838i	−0.628794	−	0.777572i	$-0.716451\pi$
$43$	1.51051	−	1.74322i	0.230350	−	0.265838i	0.859144	+	0.511734i	$0.170997\pi$
$44$	1.06449	−	3.62533i	0.160478	−	0.546538i
$45$	0.786956	−	6.72409i	0.117312	−	1.00237i
$46$	−0.0497252	−	4.79557i	−0.00733158	−	0.707069i
$47$	9.90179			1.44432			0.722162	−	0.691724i	$-0.243148\pi$
$47$	9.90179			1.44432			0.722162	+	0.691724i	$0.243148\pi$
$48$	1.56593	−	0.740171i	0.226023	−	0.106834i
$49$	−1.05812	+	6.91956i	−0.151160	+	0.988509i
$50$	0.0500184	−	0.0778302i	0.00707368	−	0.0110069i
$51$	−6.77075	−	10.2370i	−0.948095	−	1.43347i
$52$	−0.100118	−	0.155787i	−0.0138839	−	0.0216037i
$53$	10.0585	−	4.59358i	1.38164	−	0.630976i	0.420569	−	0.907261i	$-0.361830\pi$
$53$	10.0585	−	4.59358i	1.38164	−	0.630976i	0.961076	+	0.276284i	$0.0891032\pi$
$54$	−5.03952	−	1.26620i	−0.685792	−	0.172307i
$55$	−8.43973	+	1.21345i	−1.13801	+	0.163621i
$56$	−2.61711	−	0.388235i	−0.349726	−	0.0518801i
$57$	−3.66055	−	2.28506i	−0.484852	−	0.302663i
$58$	−8.95489	+	2.62939i	−1.17583	+	0.345256i
$59$	1.58077	−	3.46140i	0.205799	−	0.450636i	−0.778385	−	0.627787i	$-0.783961\pi$
$59$	1.58077	−	3.46140i	0.205799	−	0.450636i	0.984184	+	0.177151i	$0.0566881\pi$
$60$	−2.98736	−	2.52057i	−0.385666	−	0.325404i
$61$	−5.37034	+	4.65343i	−0.687602	+	0.595810i	−0.926978	−	0.375117i	$-0.877603\pi$
$61$	−5.37034	+	4.65343i	−0.687602	+	0.595810i	0.239376	+	0.970927i	$0.423057\pi$
$62$	2.23681	+	4.89792i	0.284075	+	0.622037i
$63$	5.32746	+	5.88372i	0.671196	+	0.741280i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	−0.225933	+	0.351558i	−0.0280235	+	0.0436054i
$66$	0.0860371	+	6.54377i	0.0105904	+	0.805483i
$67$	2.31786	+	0.680586i	0.283172	+	0.0831469i	0.420234	−	0.907416i	$-0.361948\pi$
$67$	2.31786	+	0.680586i	0.283172	+	0.0831469i	−0.137062	+	0.990562i	$0.543766\pi$
$68$	−7.08614			−0.859321
$69$	2.52701	+	7.91292i	0.304216	+	0.952603i
$70$	1.65647	+	5.73618i	0.197986	+	0.685604i
$71$	2.09544	−	7.13643i	0.248683	−	0.846938i	−0.736647	−	0.676278i	$-0.763592\pi$
$71$	2.09544	−	7.13643i	0.248683	−	0.846938i	0.985330	−	0.170660i	$-0.0545900\pi$
$72$	−2.21481	+	2.02351i	−0.261018	+	0.238473i
$73$	1.08925	−	1.69491i	0.127487	−	0.198374i	−0.771642	−	0.636057i	$-0.780564\pi$
$73$	1.08925	−	1.69491i	0.127487	−	0.198374i	0.899129	+	0.437683i	$0.144201\pi$
$74$	−9.93263	−	1.42810i	−1.15465	−	0.166013i
$75$	−0.0431207	+	0.154333i	−0.00497915	+	0.0178209i
$76$	−2.26625	+	1.03496i	−0.259957	+	0.118718i
$77$	5.44214	−	8.38546i	0.620190	−	0.955612i
$78$	0.245146	+	0.206840i	0.0277573	+	0.0234201i
$79$	3.20797	−	7.02447i	0.360925	−	0.790315i	−0.638855	−	0.769327i	$-0.720592\pi$
$79$	3.20797	−	7.02447i	0.360925	−	0.790315i	0.999780	−	0.0209877i	$-0.00668107\pi$
$80$	−2.16525	+	0.635775i	−0.242082	+	0.0710818i
$81$	8.98756	−	0.473080i	0.998618	−	0.0525645i
$82$	8.98920	+	4.10523i	0.992691	+	0.453347i
$83$	1.51789	+	10.5572i	0.166610	+	1.15880i	0.885828	+	0.464014i	$0.153591\pi$
$83$	1.51789	+	10.5572i	0.166610	+	1.15880i	−0.719218	+	0.694785i	$0.755500\pi$
$84$	4.53010	−	0.691497i	0.494275	−	0.0754485i
$85$	6.64291	+	14.5459i	0.720524	+	1.57773i
$86$	1.24705	+	1.94044i	0.134472	+	0.209243i
$87$	13.4829	−	8.91755i	1.44552	−	0.956062i
$88$	3.17857	+	2.04274i	0.338837	+	0.217757i
$89$	−7.97466	+	9.20324i	−0.845312	+	0.975542i	−0.999923	−	0.0124335i	$-0.996042\pi$
$89$	−7.97466	+	9.20324i	−0.845312	+	0.975542i	0.154611	+	0.987975i	$0.450588\pi$
$90$	6.23000	+	2.64947i	0.656700	+	0.279279i
$91$	−0.135932	−	0.470717i	−0.0142495	−	0.0493446i
$92$	4.61533	+	1.30336i	0.481181	+	0.135884i
$93$	−6.19952	−	6.96740i	−0.642861	−	0.722486i
$94$	−2.78966	+	9.50070i	−0.287731	+	0.979922i
$95$	4.24900	+	3.68178i	0.435938	+	0.377742i
$96$	0.269014	+	1.71103i	0.0274562	+	0.174631i
$97$	11.5597	+	1.66204i	1.17371	+	0.168754i	0.701459	−	0.712710i	$-0.252532\pi$
$97$	11.5597	+	1.66204i	1.17371	+	0.168754i	0.472252	+	0.881464i	$0.343441\pi$
$98$	−6.34117	−	2.96473i	−0.640554	−	0.299483i
$99$	−3.47832	−	10.7883i	−0.349584	−	1.08426i
$100$	0.0605857	+	0.0699196i	0.00605857	+	0.00699196i
$101$	1.78784	+	12.4347i	0.177896	+	1.23730i	0.861619	+	0.507555i	$0.169451\pi$
$101$	1.78784	+	12.4347i	0.177896	+	1.23730i	−0.683723	+	0.729742i	$0.739640\pi$
$102$	11.7299	−	3.61238i	1.16143	−	0.357679i
$103$	−2.41662	−	8.23026i	−0.238117	−	0.810952i	−0.988665	−	0.150136i	$-0.952029\pi$
$103$	−2.41662	−	8.23026i	−0.238117	−	0.810952i	0.750548	−	0.660816i	$-0.229789\pi$
$104$	0.177683	−	0.0521724i	0.0174232	−	0.00511592i
$105$	−5.66621	−	8.65084i	−0.552965	−	0.844235i
$106$	1.57369	+	10.9452i	0.152850	+	1.06310i
$107$	−0.606477	+	0.525516i	−0.0586304	+	0.0508035i	−0.683683	−	0.729779i	$-0.739623\pi$
$107$	−0.606477	+	0.525516i	−0.0586304	+	0.0508035i	0.625053	+	0.780583i	$0.285077\pi$
$108$	2.63470	−	4.47865i	0.253524	−	0.430959i
$109$	−15.2909	+	9.82687i	−1.46460	+	0.941243i	−0.466204	+	0.884677i	$0.654379\pi$
$109$	−15.2909	+	9.82687i	−1.46460	+	0.941243i	−0.998399	+	0.0565660i	$0.981985\pi$
$110$	1.21345	−	8.43973i	0.115698	−	0.804696i
$111$	17.1698	−	2.69950i	1.62969	−	0.256225i
$112$	1.10983	−	2.40172i	0.104870	−	0.226941i
$113$	1.66705	−	5.67746i	0.156823	−	0.534091i	−0.843170	−	0.537646i	$-0.819314\pi$
$113$	1.66705	−	5.67746i	0.156823	−	0.534091i	0.999994	+	0.00355546i	$0.00113174\pi$
$114$	3.22379	−	2.86850i	0.301936	−	0.268659i
$115$	−1.65120	−	10.6959i	−0.153975	−	0.997394i
$116$		−	9.33294i		−	0.866541i
$117$	−0.511241	−	0.217419i	−0.0472643	−	0.0201004i
$118$	2.87584	+	2.49193i	0.264742	+	0.229400i
$119$	−17.9649	−	5.36235i	−1.64684	−	0.491566i
$120$	3.26010	−	2.15622i	0.297605	−	0.196835i
$121$	−2.75606	+	1.77121i	−0.250551	+	0.161019i
$122$	−2.95193	−	6.46383i	−0.267255	−	0.585208i
$123$	−16.9729	−	2.21299i	−1.53039	−	0.199539i
$124$	−5.32970	+	0.766295i	−0.478621	+	0.0688154i
$125$	−4.60052	+	10.0737i	−0.411483	+	0.901023i
$126$	−7.14631	+	3.45402i	−0.636644	+	0.307709i
$127$	2.13850	−	0.627921i	0.189761	−	0.0557190i	−0.185471	−	0.982650i	$-0.559381\pi$
$127$	2.13850	−	0.627921i	0.189761	−	0.0557190i	0.375232	+	0.926931i	$0.377563\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−3.05347	−	2.57635i	−0.268843	−	0.226835i
$130$	−0.273665	−	0.315826i	−0.0240020	−	0.0276998i
$131$	0.335325	+	0.734259i	0.0292975	+	0.0641525i	0.923715	−	0.383080i	$-0.125137\pi$
$131$	0.335325	+	0.734259i	0.0292975	+	0.0641525i	−0.894418	+	0.447233i	$0.852410\pi$
$132$	−6.30295	−	1.76104i	−0.548601	−	0.153279i
$133$	−6.52864	+	0.908901i	−0.566105	+	0.0788117i
$134$	−1.30604	+	2.03223i	−0.112824	+	0.175558i
$135$	−11.6634	−	1.20982i	−1.00382	−	0.104124i
$136$	1.99640	−	6.79910i	0.171190	−	0.583018i
$137$		−	0.103992i		−	0.00888468i	−0.999990	−	0.00444234i	$-0.998586\pi$
$137$		−	0.103992i		−	0.00888468i	0.999990	−	0.00444234i	$-0.00141404\pi$
$138$	−8.30433	+	0.195319i	−0.706911	+	0.0166266i
$139$		−	8.91874i		−	0.756477i	−0.925708	−	0.378239i	$-0.876530\pi$
$139$		−	8.91874i		−	0.756477i	0.925708	−	0.378239i	$-0.123470\pi$
$140$	−5.97050	−	0.0266956i	−0.504600	−	0.00225619i
$141$	−0.225473	−	17.1489i	−0.0189882	−	1.44420i
$142$	6.25700	+	4.02113i	0.525075	+	0.337445i
$143$	−0.0995770	+	0.692573i	−0.00832705	+	0.0579159i
$144$	−1.31756	−	2.69519i	−0.109797	−	0.224599i
$145$	−19.1580	+	8.74917i	−1.59099	+	0.726579i
$146$	1.31937	+	1.52264i	0.109192	+	0.126014i
$147$	12.0081	+	1.67500i	0.990411	+	0.138152i
$148$	4.16859	−	9.12795i	0.342656	−	0.750313i
$149$	6.07676	+	20.6956i	0.497828	+	1.69545i	0.698350	+	0.715757i	$0.253918\pi$
$149$	6.07676	+	20.6956i	0.497828	+	1.69545i	−0.200522	+	0.979689i	$0.564264\pi$
$150$	−0.135933	−	0.0848547i	−0.0110989	−	0.00692836i
$151$	−5.81030	+	12.7228i	−0.472835	+	1.03536i	0.511537	+	0.859262i	$0.329076\pi$
$151$	−5.81030	+	12.7228i	−0.472835	+	1.03536i	−0.984372	+	0.176103i	$0.943651\pi$
$152$	−0.354562	−	2.46603i	−0.0287588	−	0.200022i
$153$	−17.5754	+	11.9594i	−1.42088	+	0.966859i
$154$	6.51257	+	7.58415i	0.524797	+	0.611149i
$155$	6.56933	+	10.2221i	0.527661	+	0.821057i
$156$	−0.267527	+	0.176942i	−0.0214193	+	0.0141667i
$157$	4.21528	−	6.55911i	0.336416	−	0.523474i	−0.631293	−	0.775545i	$-0.717475\pi$
$157$	4.21528	−	6.55911i	0.336416	−	0.523474i	0.967709	+	0.252071i	$0.0811116\pi$
$158$	5.83614	+	5.05705i	0.464299	+	0.402317i
$159$	−8.18466	−	17.3158i	−0.649086	−	1.37323i
$160$		−	2.25666i		−	0.178405i
$161$	10.7146	+	6.79689i	0.844427	+	0.535670i
$162$	−2.07817	+	8.75678i	−0.163276	+	0.687998i
$163$	5.20924	+	1.52957i	0.408019	+	0.119805i	0.479300	−	0.877651i	$-0.340891\pi$
$163$	5.20924	+	1.52957i	0.408019	+	0.119805i	−0.0712810	+	0.997456i	$0.522709\pi$
$164$	−6.47149	+	7.46850i	−0.505339	+	0.583192i
$165$	2.29375	+	14.5891i	0.178569	+	1.13576i
$166$	−10.5572	−	1.51789i	−0.819394	−	0.117811i
$167$	15.0388	−	9.66485i	1.16374	−	0.747889i	0.191410	−	0.981510i	$-0.438694\pi$
$167$	15.0388	−	9.66485i	1.16374	−	0.747889i	0.972328	+	0.233622i	$0.0750577\pi$
$168$	−0.612791	+	4.54142i	−0.0472778	+	0.350378i
$169$	−8.49073	−	9.79883i	−0.653133	−	0.753756i
$170$	−15.8282	+	2.27576i	−1.21397	+	0.174543i
$171$	−3.87414	+	6.39174i	−0.296263	+	0.488789i
$172$	−2.21317	+	0.649846i	−0.168753	+	0.0495503i
$173$	−8.95239	+	2.62866i	−0.680638	+	0.199853i	−0.603735	−	0.797185i	$-0.706321\pi$
$173$	−8.95239	+	2.62866i	−0.680638	+	0.199853i	−0.0769031	+	0.997039i	$0.524503\pi$
$174$	4.75776	+	15.4491i	0.360685	+	1.17119i
$175$	0.100687	+	0.223109i	0.00761125	+	0.0168655i
$176$	−2.85551	+	2.47431i	−0.215242	+	0.186508i
$177$	−6.03080	−	2.65892i	−0.453303	−	0.199856i
$178$	−6.58373	−	10.2445i	−0.493471	−	0.767856i
$179$	−21.5360	−	3.09641i	−1.60968	−	0.231437i	−0.721997	−	0.691896i	$-0.756776\pi$
$179$	−21.5360	−	3.09641i	−1.60968	−	0.231437i	−0.887681	+	0.460459i	$0.847685\pi$
$180$	−4.29735	+	5.23120i	−0.320305	+	0.389911i
$181$	−5.78861	−	5.01586i	−0.430264	−	0.372826i	0.412636	−	0.910896i	$-0.364608\pi$
$181$	−5.78861	−	5.01586i	−0.430264	−	0.372826i	−0.842900	+	0.538070i	$0.819154\pi$
$182$	0.489946	+	0.00219067i	0.0363172	+	0.000162383i
$183$	8.18157	+	9.19494i	0.604799	+	0.679710i
$184$	−2.55085	+	4.06118i	−0.188051	+	0.299394i
$185$	−22.6451			−1.66490
$186$	8.43178	−	3.98546i	0.618248	−	0.292228i
$187$	20.2345	+	17.5333i	1.47969	+	1.28216i
$188$	−8.32992	−	5.35331i	−0.607522	−	0.390430i
$189$	10.0687	−	9.36060i	0.732391	−	0.680884i
$190$	−4.72972	+	3.03961i	−0.343130	+	0.220516i
$191$	−1.27639	+	0.582910i	−0.0923567	+	0.0421779i	−0.461058	−	0.887370i	$-0.652530\pi$
$191$	−1.27639	+	0.582910i	−0.0923567	+	0.0421779i	0.368701	+	0.929548i	$0.379803\pi$
$192$	−1.71751	−	0.223936i	−0.123951	−	0.0161612i
$193$	−0.114040	−	0.793166i	−0.00820878	−	0.0570933i	0.985305	−	0.170802i	$-0.0546359\pi$
$193$	−0.114040	−	0.793166i	−0.00820878	−	0.0570933i	−0.993514	+	0.113709i	$0.963727\pi$
$194$	−4.85146	+	10.6232i	−0.348314	+	0.762702i
$195$	0.614008	+	0.383287i	0.0439700	+	0.0274478i
$196$	4.63115	−	5.24904i	0.330796	−	0.374932i
$197$	−12.8632	−	5.87445i	−0.916468	−	0.418537i	−0.0993799	−	0.995050i	$-0.531686\pi$
$197$	−12.8632	−	5.87445i	−0.916468	−	0.418537i	−0.817088	+	0.576513i	$0.804413\pi$
$198$	11.3312	−	0.298016i	0.805274	−	0.0211790i
$199$	11.0847	−	9.60498i	0.785776	−	0.680879i	−0.166526	−	0.986037i	$-0.553255\pi$
$199$	11.0847	−	9.60498i	0.785776	−	0.680879i	0.952302	+	0.305158i	$0.0987094\pi$
$200$	−0.0841564	+	0.0384329i	−0.00595075	+	0.00271762i
$201$	1.12593	−	4.02981i	0.0794169	−	0.284241i
$202$	−12.4347	−	1.78784i	−0.874901	−	0.125792i
$203$	7.06258	−	23.6611i	0.495696	−	1.66068i
$204$	0.161358	+	12.2725i	0.0112973	+	0.859246i
$205$	21.3975	+	6.28288i	1.49447	+	0.438815i
$206$	8.57772			0.597638
$207$	13.6468	−	4.55671i	0.948521	−	0.316713i
$208$			0.185184i			0.0128402i
$209$	9.03211	+	2.65207i	0.624764	+	0.183447i
$210$	9.89677	−	2.99946i	0.682942	−	0.206983i
$211$	−15.5474	−	9.99171i	−1.07033	−	0.687857i	−0.118024	−	0.993011i	$-0.537656\pi$
$211$	−15.5474	−	9.99171i	−1.07033	−	0.687857i	−0.952303	+	0.305153i	$0.901292\pi$
$212$	−10.9452	−	1.57369i	−0.751723	−	0.108081i
$213$	−12.4073	−	3.46660i	−0.850134	−	0.237527i
$214$	−0.333364	−	0.729966i	−0.0227883	−	0.0498994i
$215$	3.40870	+	3.93385i	0.232471	+	0.268286i
$216$	3.55496	+	3.78976i	0.241884	+	0.257861i
$217$	−14.0919	−	2.09046i	−0.956618	−	0.141909i
$218$	−5.12086	−	17.4401i	−0.346829	−	1.18119i
$219$	−2.96021	−	1.84788i	−0.200033	−	0.124868i
$220$	7.75599	+	3.54204i	0.522909	+	0.238804i
$221$	1.29888	−	0.186751i	0.0873724	−	0.0125622i
$222$	−2.24715	+	17.2349i	−0.150819	+	1.15673i
$223$	−24.8998	+	11.3714i	−1.66742	+	0.761483i	−0.667559	+	0.744557i	$0.732661\pi$
$223$	−24.8998	+	11.3714i	−1.66742	+	0.761483i	−0.999857	+	0.0169265i	$0.994612\pi$
$224$	1.99176	+	1.74152i	0.133080	+	0.116360i
$225$	0.268272	+	0.0711665i	0.0178848	+	0.00474443i
$226$	4.97782	+	3.19905i	0.331120	+	0.212798i
$227$	−8.12612	+	9.37805i	−0.539350	+	0.622443i	−0.958368	−	0.285535i	$-0.907829\pi$
$227$	−8.12612	+	9.37805i	−0.539350	+	0.622443i	0.419019	+	0.907978i	$0.362374\pi$
$228$	1.84406	+	3.90135i	0.122126	+	0.258374i
$229$		−	19.9869i		−	1.32077i	−0.750926	−	0.660387i	$-0.770392\pi$
$229$		−	19.9869i		−	1.32077i	0.750926	−	0.660387i	$-0.229608\pi$
$230$	10.7278	+	1.42906i	0.707370	+	0.0942293i
$231$	−14.6467	−	9.23431i	−0.963683	−	0.607573i
$232$	8.95489	+	2.62939i	0.587917	+	0.172628i
$233$	−7.94811	−	6.88708i	−0.520698	−	0.451188i	0.354427	−	0.935084i	$-0.384676\pi$
$233$	−7.94811	−	6.88708i	−0.520698	−	0.451188i	−0.875126	+	0.483896i	$0.839221\pi$
$234$	0.352645	−	0.429278i	0.0230531	−	0.0280628i
$235$	−3.18002	+	22.1175i	−0.207442	+	1.44279i
$236$	−3.20120	+	2.05729i	−0.208381	+	0.133918i
$237$	−12.2387	−	5.39593i	−0.794991	−	0.350503i
$238$	10.2064	−	15.7265i	0.661585	−	1.01940i
$239$	−7.82424	+	1.12496i	−0.506108	+	0.0727674i	−0.390639	−	0.920544i	$-0.627746\pi$
$239$	−7.82424	+	1.12496i	−0.506108	+	0.0727674i	−0.115469	+	0.993311i	$0.536837\pi$
$240$	1.15040	+	3.73552i	0.0742582	+	0.241127i
$241$	−1.93426	−	6.58749i	−0.124597	−	0.424338i	0.873443	−	0.486927i	$-0.161882\pi$
$241$	−1.93426	−	6.58749i	−0.124597	−	0.424338i	−0.998039	+	0.0625894i	$0.980064\pi$
$242$	−0.922992	−	3.14342i	−0.0593322	−	0.202067i
$243$	−1.02398	−	15.5548i	−0.0656885	−	0.997840i
$244$	7.03365	−	1.01129i	0.450284	−	0.0647410i
$245$	−15.1163	−	4.58578i	−0.965748	−	0.292975i
$246$	6.90516	−	15.6619i	0.440257	−	0.998566i
$247$	0.388126	−	0.249433i	0.0246959	−	0.0158711i
$248$	0.766295	−	5.32970i	0.0486598	−	0.338436i
$249$	18.2494	−	2.86923i	1.15651	−	0.181830i
$250$	−8.36957	−	7.25227i	−0.529338	−	0.458674i
$251$	19.4099	+	5.69927i	1.22514	+	0.359735i	0.829415	−	0.558632i	$-0.188674\pi$
$251$	19.4099	+	5.69927i	1.22514	+	0.359735i	0.395729	+	0.918367i	$0.370492\pi$
$252$	−1.30076	−	7.82994i	−0.0819401	−	0.493240i
$253$	−9.95419	−	15.1415i	−0.625814	−	0.951938i
$254$			2.22878i			0.139846i
$255$	25.0409	−	11.8361i	1.56812	−	0.741204i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	13.5952	+	8.73712i	0.848047	+	0.545007i	0.890965	−	0.454072i	$-0.150029\pi$
$257$	13.5952	+	8.73712i	0.848047	+	0.545007i	−0.0429182	+	0.999079i	$0.513665\pi$
$258$	3.33225	−	2.20394i	0.207457	−	0.137212i
$259$	17.4758	−	19.9868i	1.08589	−	1.24192i
$260$	0.380133	−	0.173601i	0.0235749	−	0.0107663i
$261$	−15.7513	−	23.1480i	−0.974983	−	1.43282i
$262$	−0.798989	+	0.114877i	−0.0493617	+	0.00709714i
$263$	10.1497	+	4.63521i	0.625857	+	0.285819i	0.702988	−	0.711202i	$-0.251849\pi$
$263$	10.1497	+	4.63521i	0.625857	+	0.285819i	−0.0771311	+	0.997021i	$0.524576\pi$
$264$	3.46545	−	5.55149i	0.213284	−	0.341671i
$265$	7.03027	+	23.9429i	0.431866	+	1.47080i
$266$	0.967246	−	6.52025i	0.0593057	−	0.399782i
$267$	16.1207	+	13.6017i	0.986571	+	0.832414i
$268$	−1.58196	−	1.82568i	−0.0966335	−	0.111521i
$269$	−5.64200	−	12.3543i	−0.343999	−	0.753253i	0.656000	−	0.754761i	$-0.272247\pi$
$269$	−5.64200	−	12.3543i	−0.343999	−	0.753253i	−0.999999	+	0.00150831i	$0.999520\pi$
$270$	4.44676	−	10.8501i	0.270621	−	0.660315i
$271$	−15.3433	−	2.20603i	−0.932038	−	0.134007i	−0.340464	−	0.940258i	$-0.610584\pi$
$271$	−15.3433	−	2.20603i	−0.932038	−	0.134007i	−0.591574	+	0.806251i	$0.701493\pi$
$272$	5.96124	+	3.83106i	0.361453	+	0.232292i
$273$	−0.812140	+	0.246139i	−0.0491530	+	0.0148970i
$274$	0.0997801	+	0.0292981i	0.00602793	+	0.00176996i
$275$		−	0.349564i		−	0.0210795i
$276$	2.15219	−	8.02297i	0.129547	−	0.482926i
$277$	−1.91623			−0.115135			−0.0575675	−	0.998342i	$-0.518334\pi$
$277$	−1.91623			−0.115135			−0.0575675	+	0.998342i	$0.518334\pi$
$278$	8.55747	+	2.51270i	0.513243	+	0.150702i
$279$	−11.9257	+	10.8956i	−0.713972	+	0.652303i
$280$	1.70770	−	5.72113i	0.102055	−	0.341903i
$281$	16.1205	+	2.31778i	0.961668	+	0.138267i	0.605229	−	0.796052i	$-0.293082\pi$
$281$	16.1205	+	2.31778i	0.961668	+	0.138267i	0.356439	+	0.934319i	$0.383991\pi$
$282$	16.5178	+	4.61507i	0.983620	+	0.274823i
$283$	8.31576	−	3.79768i	0.494321	−	0.225749i	−0.152626	−	0.988284i	$-0.548773\pi$
$283$	8.31576	−	3.79768i	0.494321	−	0.225749i	0.646947	+	0.762535i	$0.276046\pi$
$284$	−5.62104	+	4.87066i	−0.333548	+	0.289021i
$285$	6.27972	−	7.44268i	0.371978	−	0.440866i
$286$	−0.636465	−	0.290664i	−0.0376350	−	0.0171873i
$287$	−22.0584	+	14.0371i	−1.30206	+	0.828583i
$288$	2.95721	−	0.504868i	0.174255	−	0.0297496i
$289$	13.7973	−	30.2120i	0.811608	−	1.77717i
$290$	−2.99733	−	20.8469i	−0.176009	−	1.22417i
$291$	2.61526	−	20.0581i	0.153309	−	1.17583i
$292$	−1.83267	+	0.836953i	−0.107249	+	0.0489790i
$293$	−6.29610	+	4.04626i	−0.367822	+	0.236385i	−0.711474	−	0.702712i	$-0.751972\pi$
$293$	−6.29610	+	4.04626i	−0.367822	+	0.236385i	0.343652	+	0.939097i	$0.388336\pi$
$294$	−4.99022	+	11.0498i	−0.291036	+	0.644436i
$295$	7.22403	+	4.64260i	0.420599	+	0.270303i
$296$	7.58377	+	6.57138i	0.440798	+	0.381954i
$297$	−18.6050	+	6.26976i	−1.07957	+	0.363808i
$298$	−21.5693			−1.24947
$299$	−0.880335	−	0.117270i	−0.0509111	−	0.00678190i
$300$	0.119714	−	0.106521i	0.00691171	−	0.00614997i
$301$	−6.10264	−	0.0272864i	−0.351751	−	0.00157276i
$302$	−10.5705	−	9.15936i	−0.608262	−	0.527062i
$303$	21.4949	−	3.37950i	1.23485	−	0.194147i
$304$	2.46603	+	0.354562i	0.141437	+	0.0203355i
$305$	−8.66960	−	13.4902i	−0.496420	−	0.772445i
$306$	−6.52339	−	20.2328i	−0.372917	−	1.15663i
$307$	−14.7194	+	12.7544i	−0.840081	+	0.727934i	−0.964440	−	0.264303i	$-0.914858\pi$
$307$	−14.7194	+	12.7544i	−0.840081	+	0.727934i	0.124359	+	0.992237i	$0.460313\pi$
$308$	−9.11174	+	4.11206i	−0.519190	+	0.234306i
$309$	−14.1990	+	4.37276i	−0.807751	+	0.248758i
$310$	−11.6588	+	3.42333i	−0.662176	+	0.194432i
$311$	19.5603	−	5.74341i	1.10916	−	0.325679i	0.324675	−	0.945826i	$-0.394745\pi$
$311$	19.5603	−	5.74341i	1.10916	−	0.325679i	0.784486	+	0.620147i	$0.212927\pi$
$312$	−0.0944034	−	0.306541i	−0.00534454	−	0.0173545i
$313$	8.48994	−	1.22067i	0.479880	−	0.0689963i	0.101870	−	0.994798i	$-0.467517\pi$
$313$	8.48994	−	1.22067i	0.479880	−	0.0689963i	0.378010	+	0.925801i	$0.376608\pi$
$314$	5.10584	+	5.89245i	0.288139	+	0.332530i
$315$	−14.8534	+	10.0103i	−0.836893	+	0.564016i
$316$	−6.49643	+	4.17500i	−0.365453	+	0.234862i
$317$	33.2873	+	4.78598i	1.86960	+	0.268808i	0.981587	−	0.191014i	$-0.0611776\pi$
$317$	33.2873	+	4.78598i	1.86960	+	0.268808i	0.888011	+	0.459822i	$0.152087\pi$
$318$	18.9202	−	2.97471i	1.06099	−	0.166813i
$319$	−23.0926	+	26.6503i	−1.29294	+	1.49213i
$320$	2.16525	+	0.635775i	0.121041	+	0.0355409i
$321$	0.923951	+	1.03839i	0.0515699	+	0.0579574i
$322$	−9.54022	+	8.36566i	−0.531656	+	0.466200i
$323$		−	17.6544i		−	0.982315i
$324$	−7.81658	−	4.46106i	−0.434255	−	0.247837i
$325$	−0.0129480	−	0.0112195i	−0.000718226	−	0.000622346i
$326$	−2.93523	+	4.56730i	−0.162567	+	0.252959i
$327$	17.3674	+	26.2586i	0.960417	+	1.45210i
$328$	−5.34274	−	8.31347i	−0.295004	−	0.459035i
$329$	−17.0671	−	19.8754i	−0.940941	−	1.09577i
$330$	−14.6444	−	1.90939i	−0.806148	−	0.105109i
$331$	−1.46295	−	10.1750i	−0.0804107	−	0.559269i	−0.989706	−	0.143117i	$-0.954287\pi$
$331$	−1.46295	−	10.1750i	−0.0804107	−	0.559269i	0.909295	−	0.416152i	$-0.136622\pi$
$332$	4.43070	−	9.70188i	0.243166	−	0.532460i
$333$	−5.06624	−	29.6750i	−0.277628	−	1.62618i
$334$	5.03644	+	17.1525i	0.275582	+	0.938545i
$335$	−2.26462	+	4.95882i	−0.123729	+	0.270929i
$336$	−4.18482	−	1.86743i	−0.228300	−	0.101877i
$337$	7.82899	+	9.03514i	0.426472	+	0.492175i	0.927798	−	0.373083i	$-0.121699\pi$
$337$	7.82899	+	9.03514i	0.426472	+	0.492175i	−0.501325	+	0.865259i	$0.667154\pi$
$338$	11.7940	−	5.38615i	0.641510	−	0.292968i
$339$	−9.87077	−	2.75789i	−0.536106	−	0.149788i
$340$	2.27576	−	15.8282i	0.123420	−	0.858407i
$341$	17.1150	+	10.9992i	0.926832	+	0.595639i
$342$	−5.04136	−	5.51797i	−0.272606	−	0.298378i
$343$	15.7131	−	9.80293i	0.848430	−	0.529308i
$344$		−	2.30661i		−	0.124364i
$345$	−18.4866	+	3.10327i	−0.995284	+	0.167074i
$346$		−	9.33034i		−	0.501602i
$347$	−0.303840	+	1.03478i	−0.0163110	+	0.0555500i	−0.967246	−	0.253839i	$-0.918307\pi$
$347$	−0.303840	+	1.03478i	−0.0163110	+	0.0555500i	0.950935	+	0.309390i	$0.100125\pi$
$348$	−16.1637	+	0.212520i	−0.866467	+	0.0113922i
$349$	2.55451	−	3.97490i	0.136740	−	0.212772i	−0.766130	−	0.642686i	$-0.777820\pi$
$349$	2.55451	−	3.97490i	0.136740	−	0.212772i	0.902870	+	0.429915i	$0.141456\pi$
$350$	−0.242439	+	0.0337517i	−0.0129589	+	0.00180411i
$351$	−0.364906	+	0.890370i	−0.0194773	+	0.0475244i
$352$	−1.56959	−	3.43693i	−0.0836597	−	0.183189i
$353$	−9.53597	−	11.0051i	−0.507549	−	0.585742i	0.442921	−	0.896561i	$-0.353942\pi$
$353$	−9.53597	−	11.0051i	−0.507549	−	0.585742i	−0.950469	+	0.310819i	$0.899397\pi$
$354$	4.25028	−	5.03741i	0.225900	−	0.267735i
$355$	15.2676	+	6.97248i	0.810320	+	0.370061i
$356$	11.6844	−	3.43084i	0.619270	−	0.181834i
$357$	−8.87798	+	31.2356i	−0.469872	+	1.65316i
$358$	9.03839	−	19.7913i	0.477694	−	1.04600i
$359$	11.1166	−	1.59833i	0.586712	−	0.0843564i	0.157435	−	0.987529i	$-0.449678\pi$
$359$	11.1166	−	1.59833i	0.586712	−	0.0843564i	0.429277	+	0.903173i	$0.358768\pi$
$360$	−3.80860	−	5.59707i	−0.200731	−	0.294992i
$361$	5.31439	+	11.6369i	0.279705	+	0.612468i
$362$	6.44353	−	4.14100i	0.338664	−	0.217646i
$363$	3.13032	+	4.73288i	0.164299	+	0.248412i
$364$	−0.140136	+	0.469483i	−0.00734511	+	0.0246076i
$365$	3.43608	+	2.97738i	0.179853	+	0.155843i
$366$	−11.1275	+	5.25964i	−0.581643	+	0.274926i
$367$			8.35747i			0.436257i	0.975920	+	0.218128i	$0.0699951\pi$
$367$			8.35747i			0.436257i	−0.975920	+	0.218128i	$0.930005\pi$
$368$	−3.17801	−	3.59169i	−0.165665	−	0.187230i
$369$	−3.44619	+	29.4457i	−0.179402	+	1.53288i
$370$	6.37985	−	21.7278i	0.331673	−	1.12957i
$371$	−26.5578	−	12.2723i	−1.37881	−	0.637147i
$372$	1.44851	+	9.21307i	0.0751017	+	0.477675i
$373$	1.92470	−	13.3866i	0.0996570	−	0.693130i	−0.877339	−	0.479871i	$-0.840683\pi$
$373$	1.92470	−	13.3866i	0.0996570	−	0.693130i	0.976996	−	0.213258i	$-0.0684076\pi$
$374$	−22.5238	+	14.4752i	−1.16468	+	0.748493i
$375$	17.5515	+	7.73826i	0.906355	+	0.399602i
$376$	7.48327	−	6.48429i	0.385920	−	0.334402i
$377$	0.245964	+	1.71072i	0.0126678	+	0.0881065i
$378$	6.14475	+	12.2981i	0.316052	+	0.632544i
$379$	3.42943	−	1.00697i	0.176158	−	0.0517246i	−0.192464	−	0.981304i	$-0.561648\pi$
$379$	3.42943	−	1.00697i	0.176158	−	0.0517246i	0.368622	+	0.929579i	$0.379830\pi$
$380$	−1.58396	−	5.39449i	−0.0812557	−	0.276731i
$381$	−1.13619	−	3.68938i	−0.0582089	−	0.189012i
$382$	−0.199696	−	1.38892i	−0.0102173	−	0.0710632i
$383$	21.7918	+	25.1491i	1.11351	+	1.28506i	0.954641	+	0.297759i	$0.0962390\pi$
$383$	21.7918	+	25.1491i	1.11351	+	1.28506i	0.158868	+	0.987300i	$0.449216\pi$
$384$	0.698745	−	1.58485i	0.0356577	−	0.0808766i
$385$	16.9828	+	14.8491i	0.865521	+	0.756781i
$386$	0.793166	+	0.114040i	0.0403711	+	0.00580448i
$387$	−4.39246	+	5.34698i	−0.223281	+	0.271802i
$388$	−8.82608	−	7.64784i	−0.448076	−	0.388260i
$389$	−2.19419	+	7.47273i	−0.111250	+	0.378882i	−0.996231	−	0.0867455i	$-0.972353\pi$
$389$	−2.19419	+	7.47273i	−0.111250	+	0.378882i	0.884981	+	0.465628i	$0.154171\pi$
$390$	−0.540748	+	0.481152i	−0.0273818	+	0.0243641i
$391$	−21.9873	+	25.9127i	−1.11194	+	1.31046i
$392$	3.73168	+	5.92238i	0.188478	+	0.299125i
$393$	1.26403	−	0.597469i	0.0637618	−	0.0301383i
$394$	9.26048	−	10.6872i	0.466536	−	0.538412i
$395$	14.6602	+	9.42156i	0.737637	+	0.474050i
$396$	−2.90643	+	10.9562i	−0.146053	+	0.550569i
$397$	16.9895	+	26.4362i	0.852678	+	1.32679i	0.943652	+	0.330940i	$0.107366\pi$
$397$	16.9895	+	26.4362i	0.852678	+	1.32679i	−0.0909738	+	0.995853i	$0.528998\pi$
$398$	6.09298	+	13.3418i	0.305413	+	0.668762i
$399$	1.72279	+	11.2863i	0.0862474	+	0.565020i
$400$	−0.0131665	−	0.0915753i	−0.000658327	−	0.00457876i
$401$	−0.946419	−	0.432215i	−0.0472619	−	0.0215838i	0.391644	−	0.920117i	$-0.371907\pi$
$401$	−0.946419	−	0.432215i	−0.0472619	−	0.0215838i	−0.438906	+	0.898533i	$0.644634\pi$
$402$	3.54936	+	2.21565i	0.177026	+	0.110507i
$403$	0.956735	−	0.280923i	0.0476583	−	0.0139938i
$404$	5.21867	−	11.4273i	0.259638	−	0.568529i
$405$	−1.82970	+	20.2274i	−0.0909183	+	1.00511i
$406$	20.7129	+	13.4426i	1.02796	+	0.667145i
$407$	−34.4888	+	15.7505i	−1.70955	+	0.780724i
$408$	−11.8208	−	3.30274i	−0.585218	−	0.163510i
$409$	−28.3659	−	4.07840i	−1.40260	−	0.201664i	−0.600870	−	0.799347i	$-0.705179\pi$
$409$	−28.3659	−	4.07840i	−1.40260	−	0.201664i	−0.801733	+	0.597683i	$0.796088\pi$
$410$	−12.0568	+	18.7607i	−0.595441	+	0.926524i
$411$	−0.180105	+	0.00236800i	−0.00888391	+	0.000116805i
$412$	−2.41662	+	8.23026i	−0.119058	+	0.405476i
$413$	−9.67258	+	2.79321i	−0.475957	+	0.137445i
$414$	0.527370	+	14.3778i	0.0259188	+	0.706632i
$415$	−24.0689			−1.18150
$416$	−0.177683	−	0.0521724i	−0.00871162	−	0.00255796i
$417$	−15.4464	+	0.203088i	−0.756412	+	0.00994526i
$418$	−5.08928	+	7.91907i	−0.248925	+	0.387334i
$419$	2.04451	−	14.2199i	0.0998808	−	0.694686i	−0.876936	−	0.480608i	$-0.840416\pi$
$419$	2.04451	−	14.2199i	0.0998808	−	0.694686i	0.976816	−	0.214078i	$-0.0686748\pi$
$420$	0.0897197	+	10.3409i	0.00437787	+	0.504586i
$421$	12.6168	+	27.6268i	0.614903	+	1.34645i	0.919169	+	0.393863i	$0.128861\pi$
$421$	12.6168	+	27.6268i	0.614903	+	1.34645i	−0.304266	+	0.952587i	$0.598411\pi$
$422$	13.9672	−	12.1026i	0.679912	−	0.589147i
$423$	−29.6951	+	0.780993i	−1.44383	+	0.0379732i
$424$	4.59358	−	10.0585i	0.223084	−	0.488485i
$425$	−0.629032	+	0.184700i	−0.0305125	+	0.00895929i
$426$	6.82172	−	10.9281i	0.330513	−	0.529466i
$427$	18.5971	+	2.75879i	0.899979	+	0.133507i
$428$	0.794317	−	0.114205i	0.0383947	−	0.00552033i
$429$	1.20174	+	0.156687i	0.0580204	+	0.00756492i
$430$	−4.73484	+	2.16233i	−0.228334	+	0.104277i
$431$	13.7667	+	21.4213i	0.663116	+	1.03183i	0.996043	+	0.0888763i	$0.0283276\pi$
$431$	13.7667	+	21.4213i	0.663116	+	1.03183i	−0.332926	+	0.942953i	$0.608036\pi$
$432$	−4.63780	+	2.34326i	−0.223136	+	0.112740i
$433$	−4.63353	+	7.20991i	−0.222673	+	0.346486i	−0.934559	−	0.355809i	$-0.884205\pi$
$433$	−4.63353	+	7.20991i	−0.222673	+	0.346486i	0.711885	+	0.702296i	$0.247842\pi$
$434$	5.97591	−	12.9321i	0.286853	−	0.620760i
$435$	15.5889	+	32.9805i	0.747432	+	1.58130i
$436$	18.1763			0.870488
$437$	−3.24718	+	11.4986i	−0.155334	+	0.550052i
$438$	2.60702	−	2.31970i	0.124568	−	0.110839i
$439$	3.46443	−	11.7988i	0.165348	−	0.563124i	−0.834577	−	0.550891i	$-0.814288\pi$
$439$	3.46443	−	11.7988i	0.165348	−	0.563124i	0.999925	−	0.0122330i	$-0.00389398\pi$
$440$	−5.58368	+	6.44391i	−0.266191	+	0.307201i
$441$	2.62750	−	20.8350i	0.125119	−	0.992142i
$442$	−0.186751	+	1.29888i	−0.00888285	+	0.0617816i
$443$	16.7459	+	26.0571i	0.795622	+	1.23801i	0.967494	+	0.252892i	$0.0813818\pi$
$443$	16.7459	+	26.0571i	0.795622	+	1.23801i	−0.171873	+	0.985119i	$0.554982\pi$
$444$	−15.9036	−	7.01174i	−0.754753	−	0.332763i
$445$	−17.9961	−	20.7686i	−0.853097	−	0.984526i
$446$	−3.89566	−	27.0949i	−0.184465	−	1.28298i
$447$	35.7043	−	10.9956i	1.68875	−	0.520074i
$448$	−2.23212	+	1.42044i	−0.105458	+	0.0671092i
$449$	−3.90649	−	13.3043i	−0.184358	−	0.627867i	−0.998861	−	0.0477077i	$-0.984808\pi$
$449$	−3.90649	−	13.3043i	−0.184358	−	0.627867i	0.814503	−	0.580159i	$-0.197010\pi$
$450$	−0.143865	+	0.237355i	−0.00678185	+	0.0111890i
$451$	36.9588	−	5.31387i	1.74032	−	0.250220i
$452$	−4.47188	+	3.87491i	−0.210340	+	0.182260i
$453$	22.1669	+	9.77315i	1.04149	+	0.459183i
$454$	−6.70878	−	10.4391i	−0.314858	−	0.489929i
$455$	1.09509	−	0.152456i	0.0513387	−	0.00714725i
$456$	−4.26285	+	0.670220i	−0.199626	+	0.0313859i
$457$	10.5792	−	12.2091i	0.494875	−	0.571117i	−0.452286	−	0.891873i	$-0.649392\pi$
$457$	10.5792	−	12.2091i	0.494875	−	0.571117i	0.947162	+	0.320756i	$0.103937\pi$
$458$	19.1773	+	5.63097i	0.896097	+	0.263118i
$459$	21.1127	+	30.1665i	0.985455	+	1.40805i
$460$	−4.39354	+	9.89064i	−0.204850	+	0.461153i
$461$	−36.0139			−1.67733			−0.838667	−	0.544645i	$-0.816664\pi$
$461$	−36.0139			−1.67733			−0.838667	+	0.544645i	$0.816664\pi$
$462$	12.9867	−	11.4518i	0.604196	−	0.532787i
$463$	−9.44868	+	10.9044i	−0.439117	+	0.506768i	−0.931566	−	0.363573i	$-0.881557\pi$
$463$	−9.44868	+	10.9044i	−0.439117	+	0.506768i	0.492448	+	0.870342i	$0.336102\pi$
$464$	−5.04577	+	7.85137i	−0.234244	+	0.364491i
$465$	17.5540	−	11.6102i	0.814049	−	0.538410i
$466$	8.84735	−	5.68585i	0.409845	−	0.263392i
$467$	−11.6627	−	25.5379i	−0.539688	−	1.18175i	−0.961434	−	0.275037i	$-0.911310\pi$
$467$	−11.6627	−	25.5379i	−0.539688	−	1.18175i	0.421746	−	0.906714i	$-0.361417\pi$
$468$	0.312538	+	0.459302i	0.0144471	+	0.0212312i
$469$	−2.62906	−	5.82562i	−0.121399	−	0.269002i
$470$	−20.3257	−	9.28244i	−0.937555	−	0.428167i
$471$	−11.4557	−	7.15110i	−0.527851	−	0.329505i
$472$	−1.07207	−	3.65114i	−0.0493460	−	0.168057i
$473$	7.92765	+	3.62044i	0.364514	+	0.166468i
$474$	8.62541	−	10.2228i	0.396178	−	0.469548i
$475$	−0.174197	+	0.150943i	−0.00799272	+	0.00692573i
$476$	12.2140	+	14.2237i	0.559826	+	0.651941i
$477$	−29.8028	+	14.5693i	−1.36458	+	0.667083i
$478$	1.12496	−	7.82424i	0.0514543	−	0.357872i
$479$	3.03782	+	1.95229i	0.138802	+	0.0892025i	0.608199	−	0.793785i	$-0.291892\pi$
$479$	3.03782	+	1.95229i	0.138802	+	0.0892025i	−0.469397	+	0.882987i	$0.655529\pi$
$480$	−3.90831	+	0.0513862i	−0.178389	+	0.00234545i
$481$	−0.523538	+	1.78301i	−0.0238713	+	0.0812981i
$482$	6.86560			0.312719
$483$	11.5276	−	18.7114i	0.524522	−	0.851397i
$484$	3.27613			0.148915
$485$	−7.42495	+	25.2870i	−0.337149	+	1.14823i
$486$	15.2132	+	3.39979i	0.690085	+	0.154217i
$487$	−7.05846	−	4.53619i	−0.319849	−	0.205555i	0.370857	−	0.928690i	$-0.379064\pi$
$487$	−7.05846	−	4.53619i	−0.319849	−	0.205555i	−0.690706	+	0.723135i	$0.742700\pi$
$488$	−1.01129	+	7.03365i	−0.0457788	+	0.318399i
$489$	2.53045	−	9.05672i	0.114431	−	0.409559i
$490$	8.65879	−	13.2121i	0.391164	−	0.596860i
$491$	−11.5874	+	10.0405i	−0.522931	+	0.453122i	−0.875886	−	0.482518i	$-0.839722\pi$
$491$	−11.5874	+	10.0405i	−0.522931	+	0.453122i	0.352955	+	0.935640i	$0.385177\pi$
$492$	13.0821	+	11.0379i	0.589785	+	0.497628i
$493$	60.1581	+	27.4733i	2.70938	+	1.23733i
$494$	0.129982	+	0.442678i	0.00584816	+	0.0199170i
$495$	25.2147	−	4.30476i	1.13332	−	0.193485i
$496$	4.89792	+	2.23681i	0.219923	+	0.100436i
$497$	−17.9364	+	8.09455i	−0.804558	+	0.363090i
$498$	−2.38844	+	18.3185i	−0.107029	+	0.820872i
$499$	6.39594	+	14.0052i	0.286322	+	0.626957i	0.997070	−	0.0764891i	$-0.0243711\pi$
$499$	6.39594	+	14.0052i	0.286322	+	0.626957i	−0.710749	+	0.703446i	$0.751644\pi$
$500$	9.31648	−	5.98734i	0.416646	−	0.267762i
$501$	−17.0810	−	25.8256i	−0.763123	−	1.15380i
$502$	−10.9368	+	17.0180i	−0.488134	+	0.759552i
$503$	0.969841	−	1.11926i	0.0432431	−	0.0499052i	−0.733716	−	0.679456i	$-0.762216\pi$
$503$	0.969841	−	1.11926i	0.0432431	−	0.0499052i	0.776959	+	0.629551i	$0.216761\pi$
$504$	7.87924	+	0.957881i	0.350969	+	0.0426674i
$505$	−28.3494			−1.26153
$506$	17.3326	−	5.28512i	0.770527	−	0.234952i
$507$	−16.7773	+	14.9282i	−0.745104	+	0.662986i
$508$	−2.13850	−	0.627921i	−0.0948807	−	0.0278595i
$509$	−9.74188	+	11.2427i	−0.431801	+	0.498325i	−0.929396	−	0.369084i	$-0.879671\pi$
$509$	−9.74188	+	11.2427i	−0.431801	+	0.498325i	0.497595	+	0.867410i	$0.334217\pi$
$510$	4.30181	+	27.3611i	0.190487	+	1.21157i
$511$	−5.27958	+	0.735010i	−0.233555	+	0.0325149i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	11.1581	+	6.56408i	0.492642	+	0.289811i
$514$	−12.2134	+	10.5830i	−0.538711	+	0.466796i
$515$	19.1600	−	2.75479i	0.844290	−	0.121391i
$516$	1.17586	+	3.81820i	0.0517646	+	0.168087i
$517$	10.5404	+	35.8972i	0.463565	+	1.57876i
$518$	14.2537	+	22.3988i	0.626273	+	0.984148i
$519$	4.75643	+	15.4448i	0.208784	+	0.677952i
$520$	0.0594730	+	0.413644i	0.00260806	+	0.0181395i
$521$	−22.4954	−	25.9610i	−0.985539	−	1.13737i	−0.990518	−	0.137386i	$-0.956130\pi$
$521$	−22.4954	−	25.9610i	−0.985539	−	1.13737i	0.00497815	−	0.999988i	$-0.498415\pi$
$522$	26.6480	−	8.59176i	1.16635	−	0.376051i
$523$	−14.0587	−	21.8757i	−0.614742	−	0.956558i	−0.999438	−	0.0335143i	$-0.989330\pi$
$523$	−14.0587	−	21.8757i	−0.614742	−	0.956558i	0.384696	−	0.923043i	$-0.374306\pi$
$524$	0.114877	−	0.798989i	0.00501843	−	0.0349040i
$525$	0.384110	−	0.179461i	0.0167640	−	0.00783232i
$526$	−7.30695	+	8.43267i	−0.318598	+	0.367682i
$527$	10.7496	−	36.6098i	0.468260	−	1.59475i
$528$	4.35028	+	4.88911i	0.189322	+	0.212771i
$529$	19.0868	−	12.8333i	0.829862	−	0.557969i
$530$	−24.9537			−1.08392
$531$	−4.46765	+	10.5053i	−0.193880	+	0.455891i
$532$	5.98363	+	2.76503i	0.259423	+	0.119879i
$533$	0.989391	−	1.53952i	0.0428553	−	0.0666841i
$534$	−17.5925	+	11.6356i	−0.761302	+	0.503523i
$535$	−0.979066	−	1.52346i	−0.0423287	−	0.0658647i
$536$	2.19741	−	1.00353i	0.0949138	−	0.0433457i
$537$	−4.87229	+	37.3688i	−0.210255	+	1.61258i
$538$	13.4434	−	1.93286i	0.579585	−	0.0833317i
$539$	−26.2120	+	3.52978i	−1.12903	+	0.152038i
$540$	9.15778	+	7.32346i	0.394088	+	0.315151i
$541$	11.7915	−	3.46229i	0.506956	−	0.148856i	−0.0182459	−	0.999834i	$-0.505808\pi$
$541$	11.7915	−	3.46229i	0.506956	−	0.148856i	0.525201	+	0.850978i	$0.323990\pi$
$542$	6.43937	−	14.1003i	0.276595	−	0.605658i
$543$	−8.55517	+	10.1395i	−0.367137	+	0.435129i
$544$	−5.35535	+	4.64043i	−0.229609	+	0.198957i
$545$	−17.0394	−	37.3111i	−0.729888	−	1.59823i
$546$	−0.00736250	−	0.848588i	−0.000315086	−	0.0363162i
$547$	1.60864	−	11.1883i	0.0687803	−	0.478378i	−0.926097	−	0.377286i	$-0.876857\pi$
$547$	1.60864	−	11.1883i	0.0687803	−	0.478378i	0.994877	−	0.101092i	$-0.0322336\pi$
$548$	−0.0562226	+	0.0874840i	−0.00240171	+	0.00373713i
$549$	15.7384	−	14.3790i	0.671700	−	0.613682i
$550$	0.335404	+	0.0984835i	0.0143017	+	0.00419935i
$551$	23.2520			0.990569
$552$	7.09164	+	4.32535i	0.301840	+	0.184099i
$553$	−19.6293	+	5.66846i	−0.834722	+	0.241048i
$554$	0.539864	−	1.83861i	0.0229366	−	0.0781150i
$555$	0.515649	+	39.2190i	0.0218881	+	1.66476i
$556$	−4.82183	+	7.50292i	−0.204491	+	0.318195i
$557$	8.24738	+	1.18579i	0.349453	+	0.0502437i	0.314806	−	0.949156i	$-0.398060\pi$
$557$	8.24738	+	1.18579i	0.349453	+	0.0502437i	0.0346464	+	0.999400i	$0.488969\pi$
$558$	−7.09441	−	14.5123i	−0.300331	−	0.614353i
$559$	0.388546	−	0.177443i	0.0164338	−	0.00750505i
$560$	5.00827	+	3.25036i	0.211638	+	0.137353i
$561$	29.9052	−	35.4434i	1.26260	−	1.49642i
$562$	−6.76556	+	14.8145i	−0.285388	+	0.624912i
$563$	−28.2386	+	8.29160i	−1.19011	+	0.349449i	−0.816065	−	0.577960i	$-0.803849\pi$
$563$	−28.2386	+	8.29160i	−1.19011	+	0.349449i	−0.374049	+	0.927409i	$0.622031\pi$
$564$	−9.08173	+	14.5485i	−0.382410	+	0.612602i
$565$	12.1463	+	5.54704i	0.510999	+	0.233366i
$566$	1.30103	+	9.04884i	0.0546863	+	0.380351i
$567$	−16.4409	−	17.2249i	−0.690454	−	0.723377i
$568$	−3.08973	−	6.76557i	−0.129642	−	0.283877i
$569$	8.29162	+	12.9020i	0.347603	+	0.540881i	0.970400	−	0.241503i	$-0.0776402\pi$
$569$	8.29162	+	12.9020i	0.347603	+	0.540881i	−0.622797	+	0.782383i	$0.714004\pi$
$570$	5.37200	+	8.12219i	0.225008	+	0.340201i
$571$	−34.2176	−	21.9903i	−1.43196	−	0.920266i	−0.999830	−	0.0184563i	$-0.994125\pi$
$571$	−34.2176	−	21.9903i	−1.43196	−	0.920266i	−0.432133	−	0.901810i	$-0.642239\pi$
$572$	0.458203	−	0.528794i	0.0191584	−	0.0221100i
$573$	1.03861	+	2.19732i	0.0433884	+	0.0917942i
$574$	−7.25392	−	25.1195i	−0.302773	−	1.04847i
$575$	0.443672	−	0.00460042i	0.0185024	−	0.000191851i
$576$	−0.348726	+	2.97966i	−0.0145302	+	0.124153i
$577$	0.648866	−	2.20983i	0.0270126	−	0.0919966i	−0.944883	−	0.327407i	$-0.893825\pi$
$577$	0.648866	−	2.20983i	0.0270126	−	0.0919966i	0.971896	+	0.235410i	$0.0756434\pi$
$578$	25.1010	+	21.7501i	1.04406	+	0.904686i
$579$	−1.37109	+	0.215567i	−0.0569805	+	0.00895866i
$580$	20.8469	+	2.99733i	0.865620	+	0.124457i
$581$	18.5746	−	21.2435i	0.770603	−	0.881330i
$582$	18.5088	+	8.16034i	0.767215	+	0.338257i
$583$	27.3604	+	31.5756i	1.13315	+	1.30773i
$584$	−0.286727	−	1.99423i	−0.0118649	−	0.0825219i
$585$	0.649834	−	1.07213i	0.0268673	−	0.0443271i
$586$	−2.10854	−	7.18103i	−0.0871030	−	0.296645i
$587$	24.5477	−	7.20784i	1.01319	−	0.297500i	0.267332	−	0.963604i	$-0.413858\pi$
$587$	24.5477	−	7.20784i	1.01319	−	0.297500i	0.745858	+	0.666105i	$0.232040\pi$
$588$	−9.19628	−	7.90117i	−0.379248	−	0.325839i
$589$	−1.90914	−	13.2784i	−0.0786648	−	0.547126i
$590$	−6.48979	+	5.62343i	−0.267180	+	0.231513i
$591$	−9.88105	+	22.4116i	−0.406452	+	0.921891i
$592$	−8.44179	+	5.42521i	−0.346955	+	0.222975i
$593$	1.37963	−	9.59556i	0.0566548	−	0.394043i	−0.941688	−	0.336488i	$-0.890761\pi$
$593$	1.37963	−	9.59556i	0.0566548	−	0.394043i	0.998342	−	0.0575542i	$-0.0183302\pi$
$594$	−0.774156	−	19.6178i	−0.0317640	−	0.804926i
$595$	17.7474	−	38.4060i	0.727572	−	1.57449i
$596$	6.07676	−	20.6956i	0.248914	−	0.847723i
$597$	−16.8873	−	18.9790i	−0.691150	−	0.776757i
$598$	0.360539	−	0.811637i	0.0147435	−	0.0331903i
$599$		−	18.4046i		−	0.751994i	−0.926621	−	0.375997i	$-0.877300\pi$
$599$		−	18.4046i		−	0.751994i	0.926621	−	0.375997i	$-0.122700\pi$
$600$	0.0684783	+	0.144875i	0.00279562	+	0.00591451i
$601$	16.3084	+	14.1313i	0.665235	+	0.576430i	0.920644	−	0.390404i	$-0.127665\pi$
$601$	16.3084	+	14.1313i	0.665235	+	0.576430i	−0.255409	+	0.966833i	$0.582210\pi$
$602$	1.74549	−	5.84776i	0.0711411	−	0.238337i
$603$	−7.00487	−	1.85823i	−0.285260	−	0.0756731i
$604$	11.7664	−	7.56179i	0.478767	−	0.307685i
$605$	−3.07121	−	6.72501i	−0.124862	−	0.273411i
$606$	−2.81321	+	21.5763i	−0.114279	+	0.876479i
$607$	10.0027	−	1.43818i	0.405998	−	0.0583737i	0.0637094	−	0.997968i	$-0.479707\pi$
$607$	10.0027	−	1.43818i	0.405998	−	0.0583737i	0.342289	+	0.939595i	$0.388798\pi$
$608$	−1.03496	+	2.26625i	−0.0419732	+	0.0919086i
$609$	−41.1394	−	11.6929i	−1.66705	−	0.473821i
$610$	15.3862	−	4.51780i	0.622970	−	0.182921i
$611$	1.66795	+	0.761727i	0.0674780	+	0.0308162i
$612$	21.2511	−	0.558912i	0.859024	−	0.0225927i
$613$	−4.24050	−	4.89380i	−0.171272	−	0.197659i	0.663624	−	0.748067i	$-0.269018\pi$
$613$	−4.24050	−	4.89380i	−0.171272	−	0.197659i	−0.834896	+	0.550408i	$0.814472\pi$
$614$	−8.09086	−	17.7165i	−0.326520	−	0.714980i
$615$	10.3941	−	37.2015i	0.419130	−	1.50011i
$616$	−1.37841	−	9.90116i	−0.0555379	−	0.398929i
$617$	−11.8901	+	18.5014i	−0.478679	+	0.744839i	−0.993668	−	0.112358i	$-0.964160\pi$
$617$	−11.8901	+	18.5014i	−0.478679	+	0.744839i	0.514989	+	0.857197i	$0.327796\pi$
$618$	−0.195323	−	14.8558i	−0.00785703	−	0.597587i
$619$	2.26434	−	7.71162i	0.0910114	−	0.309956i	−0.901388	−	0.433011i	$-0.857451\pi$
$619$	2.26434	−	7.71162i	0.0910114	−	0.309956i	0.992400	+	0.123055i	$0.0392692\pi$
$620$		−	12.1510i		−	0.487996i
$621$	−8.20252	−	23.5312i	−0.329156	−	0.944276i
$622$			20.3860i			0.817406i
$623$	32.2187	+	0.144058i	1.29081	+	0.00577155i
$624$	0.320721	−	0.00421681i	0.0128391	−	0.000168808i
$625$	−21.4133	−	13.7615i	−0.856532	−	0.550459i
$626$	−1.22067	+	8.48994i	−0.0487878	+	0.339326i
$627$	4.38745	−	15.7031i	0.175218	−	0.627122i
$628$	−7.09224	+	3.23892i	−0.283011	+	0.129247i
$629$	46.5657	+	53.7397i	1.85670	+	2.14274i
$630$	−5.42013	−	17.0719i	−0.215943	−	0.680162i
$631$	14.5385	−	31.8349i	0.578770	−	1.26733i	−0.363225	−	0.931701i	$-0.618324\pi$
$631$	14.5385	−	31.8349i	0.578770	−	1.26733i	0.941995	−	0.335627i	$-0.108948\pi$
$632$	−2.17563	−	7.40951i	−0.0865419	−	0.294735i
$633$	−16.9506	+	27.1541i	−0.673727	+	1.07928i
$634$	−13.9702	+	30.5905i	−0.554828	+	1.21490i
$635$	0.715788	+	4.97841i	0.0284052	+	0.197562i
$636$	−2.47624	+	18.9919i	−0.0981893	+	0.753079i
$637$	−0.710550	+	1.08420i	−0.0281530	+	0.0429574i
$638$	−19.0648	−	29.6654i	−0.754783	−	1.17447i
$639$	−5.72128	+	21.5672i	−0.226330	+	0.853183i
$640$	−1.22004	+	1.89842i	−0.0482264	+	0.0750418i
$641$	−4.60994	−	3.99453i	−0.182082	−	0.157775i	0.559051	−	0.829133i	$-0.311166\pi$
$641$	−4.60994	−	3.99453i	−0.182082	−	0.157775i	−0.741133	+	0.671359i	$0.765711\pi$
$642$	−1.25664	+	0.593976i	−0.0495955	+	0.0234424i
$643$		−	8.26627i		−	0.325990i	−0.986627	−	0.162995i	$-0.947885\pi$
$643$		−	8.26627i		−	0.325990i	0.986627	−	0.162995i	$-0.0521154\pi$
$644$	−5.33900	−	11.5107i	−0.210386	−	0.453583i
$645$	6.73542	−	5.99311i	0.265207	−	0.235978i
$646$	16.9392	+	4.97381i	0.666465	+	0.195692i
$647$	9.65017	−	11.1369i	0.379387	−	0.437836i	−0.533654	−	0.845703i	$-0.679182\pi$
$647$	9.65017	−	11.1369i	0.379387	−	0.437836i	0.913042	+	0.407866i	$0.133727\pi$
$648$	6.48254	−	6.24313i	0.254658	−	0.245253i
$649$	14.2314	+	2.04617i	0.558632	+	0.0803192i
$650$	0.0144129	−	0.00926262i	0.000565321	−	0.000363310i
$651$	−3.29958	+	24.4533i	−0.129321	+	0.958401i
$652$	−3.55534	−	4.10309i	−0.139238	−	0.160689i
$653$	−8.95887	+	1.28809i	−0.350588	+	0.0504069i	−0.315359	−	0.948972i	$-0.602125\pi$
$653$	−8.95887	+	1.28809i	−0.350588	+	0.0504069i	−0.0352286	+	0.999379i	$0.511216\pi$
$654$	−30.0879	+	9.26596i	−1.17653	+	0.362328i
$655$	−1.74780	+	0.513200i	−0.0682922	+	0.0200524i
$656$	9.48194	−	2.78415i	0.370208	−	0.108703i
$657$	−3.13294	+	5.16888i	−0.122228	+	0.201657i
$658$	23.8787	−	10.7762i	0.930887	−	0.420102i
$659$	18.3809	−	15.9271i	0.716018	−	0.620433i	−0.218713	−	0.975789i	$-0.570186\pi$
$659$	18.3809	−	15.9271i	0.716018	−	0.620433i	0.934731	+	0.355356i	$0.115640\pi$
$660$	5.95786	−	13.5133i	0.231909	−	0.526003i
$661$	−20.2756	−	31.5494i	−0.788628	−	1.22713i	−0.969854	−	0.243688i	$-0.921643\pi$
$661$	−20.2756	−	31.5494i	−0.788628	−	1.22713i	0.181226	−	0.983442i	$-0.441994\pi$
$662$	10.1750	+	1.46295i	0.395463	+	0.0568590i
$663$	−0.353012	−	2.24529i	−0.0137098	−	0.0871997i
$664$	8.06061	+	6.98456i	0.312812	+	0.271053i
$665$	0.0665092	−	14.8749i	0.00257912	−	0.576823i
$666$	29.9002	+	3.49938i	1.15861	+	0.135598i
$667$	−34.1288	−	28.9587i	−1.32147	−	1.12129i
$668$	−17.8767			−0.691669
$669$	20.2611	+	42.8651i	0.783339	+	1.65726i
$670$	−4.11993	−	3.56994i	−0.159167	−	0.137919i
$671$	−22.5869	−	14.5157i	−0.871957	−	0.560373i
$672$	2.97079	−	3.48919i	0.114601	−	0.134598i
$673$	−27.0836	+	17.4055i	−1.04399	+	0.670934i	−0.945972	−	0.324250i	$-0.894888\pi$
$673$	−27.0836	+	17.4055i	−1.04399	+	0.670934i	−0.0980228	+	0.995184i	$0.531252\pi$
$674$	−10.8748	+	4.96637i	−0.418883	+	0.191297i
$675$	0.117145	−	0.466241i	0.00450889	−	0.0179456i
$676$	1.84521	+	12.8337i	0.0709697	+	0.493605i
$677$	−0.709540	+	1.55367i	−0.0272698	+	0.0597126i	−0.922777	−	0.385335i	$-0.874086\pi$
$677$	−0.709540	+	1.55367i	−0.0272698	+	0.0597126i	0.895507	+	0.445047i	$0.146813\pi$
$678$	5.42709	−	8.69394i	0.208426	−	0.333889i
$679$	−16.5887	−	26.0680i	−0.636615	−	1.00040i
$680$	14.5459	+	6.64291i	0.557811	+	0.254744i
$681$	16.4269	+	13.8601i	0.629480	+	0.531120i
$682$	−15.3755	+	13.3229i	−0.588758	+	0.510162i
$683$	10.3456	−	4.72466i	0.395862	−	0.180784i	−0.207530	−	0.978229i	$-0.566543\pi$
$683$	10.3456	−	4.72466i	0.395862	−	0.180784i	0.603392	+	0.797444i	$0.293815\pi$
$684$	6.71477	−	3.28256i	0.256746	−	0.125512i
$685$	0.232287	+	0.0333978i	0.00887523	+	0.00127607i
$686$	4.97894	+	17.8384i	0.190097	+	0.681075i
$687$	−34.6154	+	0.455121i	−1.32066	+	0.0173639i
$688$	2.21317	+	0.649846i	0.0843764	+	0.0247751i
$689$	2.04773			0.0780122
$690$	2.23071	−	18.6120i	0.0849215	−	0.708548i
$691$		−	33.4654i		−	1.27308i	−0.771243	−	0.636541i	$-0.780365\pi$
$691$		−	33.4654i		−	1.27308i	0.771243	−	0.636541i	$-0.219635\pi$
$692$	8.95239	+	2.62866i	0.340319	+	0.0999267i
$693$	−15.6594	+	25.5769i	−0.594851	+	0.971588i
$694$	−0.907265	−	0.583064i	−0.0344393	−	0.0221328i
$695$	19.9217	+	2.86431i	0.755673	+	0.108649i
$696$	4.34994	−	15.5689i	0.164884	−	0.590136i
$697$	−29.0902	−	63.6988i	−1.10187	−	2.41276i
$698$	3.09420	+	3.57090i	0.117117	+	0.135160i
$699$	−11.7468	+	13.9222i	−0.444303	+	0.526585i
$700$	0.0359183	−	0.242127i	0.00135759	−	0.00915155i
$701$	10.3860	+	35.3716i	0.392275	+	1.33597i	0.884923	+	0.465738i	$0.154211\pi$
$701$	10.3860	+	35.3716i	0.392275	+	1.33597i	−0.492647	+	0.870229i	$0.663971\pi$
$702$	−0.751498	−	0.600971i	−0.0283634	−	0.0226822i
$703$	22.7413	+	10.3856i	0.857705	+	0.391701i
$704$	3.73992	−	0.537719i	0.140953	−	0.0202660i
$705$	38.3778	+	5.00385i	1.44539	+	0.188456i
$706$	13.2459	−	6.04920i	0.498516	−	0.227665i
$707$	21.8779	−	25.0216i	0.822805	−	0.941032i
$708$	3.63591	+	5.49732i	0.136646	+	0.206602i
$709$	−2.98194	−	1.91638i	−0.111989	−	0.0719711i	0.483447	−	0.875373i	$-0.339384\pi$
$709$	−2.98194	−	1.91638i	−0.111989	−	0.0719711i	−0.595436	+	0.803402i	$0.703021\pi$
$710$	−10.9914	+	12.6848i	−0.412501	+	0.476052i
$711$	−9.06653	+	21.3192i	−0.340021	+	0.799531i
$712$			12.1776i			0.456376i
$713$	−13.7351	+	21.8674i	−0.514383	+	0.818942i
$714$	−27.4691	−	17.3184i	−1.02801	−	0.648126i
$715$	−1.51502	−	0.444849i	−0.0566583	−	0.0166364i
$716$	16.4432	+	14.2481i	0.614512	+	0.532477i
$717$	2.12648	+	13.5252i	0.0794148	+	0.505108i
$718$	−1.59833	+	11.1166i	−0.0596490	+	0.414868i
$719$	−14.2715	+	9.17176i	−0.532239	+	0.342049i	−0.778997	−	0.627028i	$-0.784271\pi$
$719$	−14.2715	+	9.17176i	−0.532239	+	0.342049i	0.246758	+	0.969077i	$0.420635\pi$
$720$	6.44336	−	2.07745i	0.240130	−	0.0774219i
$721$	−12.3548	+	19.0368i	−0.460118	+	0.708967i
$722$	−12.6627	+	1.82063i	−0.471259	+	0.0677568i
$723$	−11.3648	+	3.49996i	−0.422663	+	0.130165i
$724$	2.15791	+	7.34917i	0.0801982	+	0.273130i
$725$	−0.243263	−	0.828479i	−0.00903457	−	0.0307689i
$726$	−5.42308	+	1.67011i	−0.201269	+	0.0619836i
$727$	−30.7702	+	4.42409i	−1.14120	+	0.164080i	−0.686890	−	0.726762i	$-0.741025\pi$
$727$	−30.7702	+	4.42409i	−1.14120	+	0.164080i	−0.454314	+	0.890842i	$0.650115\pi$
$728$	−0.410985	−	0.266728i	−0.0152321	−	0.00988559i
$729$	−26.9160	+	2.12763i	−0.996890	+	0.0788013i
$730$	−3.82483	+	2.45807i	−0.141563	+	0.0909772i
$731$	2.32613	−	16.1786i	0.0860349	−	0.598386i
$732$	−1.91161	−	12.1586i	−0.0706552	−	0.449393i
$733$	−38.2383	−	33.1337i	−1.41236	−	1.22382i	−0.939438	−	0.342718i	$-0.888653\pi$
$733$	−38.2383	−	33.1337i	−1.41236	−	1.22382i	−0.472925	−	0.881102i	$-0.656802\pi$
$734$	−8.01894	−	2.35457i	−0.295984	−	0.0869089i
$735$	−7.59791	+	26.2844i	−0.280253	+	0.969516i
$736$	4.34155	−	2.03738i	0.160032	−	0.0750990i
$737$			9.12749i			0.336215i
$738$	−27.2821	−	11.6024i	−1.00427	−	0.427091i
$739$	8.53877	−	9.85427i	0.314104	−	0.362495i	−0.576642	−	0.816997i	$-0.695637\pi$
$739$	8.53877	−	9.85427i	0.314104	−	0.362495i	0.890746	+	0.454502i	$0.150183\pi$
$740$	19.0502	+	12.2429i	0.700301	+	0.450056i
$741$	−0.440832	−	0.666516i	−0.0161944	−	0.0244851i
$742$	19.2574	−	22.0245i	0.706961	−	0.808544i
$743$	30.5185	−	13.9373i	1.11961	−	0.511311i	0.232378	−	0.972626i	$-0.425350\pi$
$743$	30.5185	−	13.9373i	1.11961	−	0.511311i	0.887236	+	0.461315i	$0.152622\pi$
$744$	−9.24796	−	1.20579i	−0.339047	−	0.0442062i
$745$	−48.1791	+	6.92710i	−1.76514	+	0.253789i
$746$	12.3021	+	5.61816i	0.450410	+	0.205696i
$747$	−5.38478	−	31.5408i	−0.197019	−	1.15402i
$748$	−7.54314	−	25.6896i	−0.275804	−	0.939304i
$749$	2.10019	+	0.311553i	0.0767393	+	0.0113839i
$750$	−12.3696	+	14.6604i	−0.451675	+	0.535322i
$751$	31.9533	+	36.8761i	1.16599	+	1.34563i	0.927204	+	0.374556i	$0.122205\pi$
$751$	31.9533	+	36.8761i	1.16599	+	1.34563i	0.238788	+	0.971072i	$0.423250\pi$
$752$	4.11335	+	9.00698i	0.149999	+	0.328451i
$753$	9.42860	−	33.7459i	0.343597	−	1.22977i
$754$	−1.71072	−	0.245964i	−0.0623007	−	0.00895749i
$755$	−26.5527	−	17.0644i	−0.966353	−	0.621037i
$756$	−13.5311	+	2.43108i	−0.492120	+	0.0884176i
$757$	23.1708	+	6.80356i	0.842156	+	0.247279i	0.674231	−	0.738520i	$-0.264475\pi$
$757$	23.1708	+	6.80356i	0.842156	+	0.247279i	0.167925	+	0.985800i	$0.446293\pi$
$758$			3.57421i			0.129821i
$759$	−25.9969	+	17.5845i	−0.943628	+	0.638275i
$760$	5.62223			0.203940
$761$	−2.40920	−	0.707406i	−0.0873336	−	0.0256435i	0.237774	−	0.971321i	$-0.423582\pi$
$761$	−2.40920	−	0.707406i	−0.0873336	−	0.0256435i	−0.325107	+	0.945677i	$0.605400\pi$
$762$	3.86003	−	0.0507515i	0.139834	−	0.00183853i
$763$	46.0810	+	13.7547i	1.66825	+	0.497954i
$764$	1.38892	+	0.199696i	0.0502492	+	0.00722475i
$765$	−21.0691	−	43.0988i	−0.761756	−	1.55824i
$766$	−30.2698	+	13.8238i	−1.09369	+	0.499473i
$767$	0.532559	−	0.461465i	0.0192296	−	0.0166625i
$768$	1.32380	+	1.11694i	0.0477683	+	0.0403043i
$769$	−6.58520	−	3.00736i	−0.237468	−	0.108448i	0.293127	−	0.956074i	$-0.405304\pi$
$769$	−6.58520	−	3.00736i	−0.237468	−	0.108448i	−0.530595	+	0.847625i	$0.678031\pi$
$770$	−19.0322	+	12.1114i	−0.685873	+	0.436463i
$771$	14.8223	−	23.7445i	0.533810	−	0.855139i
$772$	−0.332881	+	0.728908i	−0.0119807	+	0.0262340i
$773$	−0.658529	−	4.58017i	−0.0236857	−	0.164737i	0.974545	−	0.224190i	$-0.0719736\pi$
$773$	−0.658529	−	4.58017i	−0.0236857	−	0.164737i	−0.998231	+	0.0594525i	$0.981065\pi$
$774$	−3.89289	−	5.72095i	−0.139927	−	0.205635i
$775$	−0.453141	+	0.206942i	−0.0162773	+	0.00743359i
$776$	9.82465	−	6.31392i	0.352684	−	0.226656i
$777$	−35.0132	−	29.8112i	−1.25609	−	1.06947i
$778$	−6.55186	−	4.21062i	−0.234895	−	0.150958i
$779$	−18.6070	−	16.1230i	−0.666664	−	0.577667i
$780$	−0.309316	−	0.654400i	−0.0110753	−	0.0234313i
$781$	28.1025			1.00558
$782$	−18.6685	−	28.3971i	−0.667586	−	1.01548i
$783$	−39.7313	+	27.8069i	−1.41988	+	0.993736i
$784$	−6.73382	+	1.91199i	−0.240493	+	0.0682853i
$785$	13.2973	+	11.5221i	0.474600	+	0.411243i
$786$	0.217150	+	1.38115i	0.00774547	+	0.0492641i
$787$	33.9753	+	4.88492i	1.21109	+	0.174128i	0.718121	−	0.695918i	$-0.245002\pi$
$787$	33.9753	+	4.88492i	1.21109	+	0.174128i	0.492969	+	0.870047i	$0.335912\pi$
$788$	7.64528	+	11.8963i	0.272352	+	0.423788i
$789$	7.79661	−	17.6838i	0.277567	−	0.629560i
$790$	−13.1702	+	11.4120i	−0.468574	+	0.406022i
$791$	−14.2695	+	6.43971i	−0.507365	+	0.228970i
$792$	−9.69354	−	5.87541i	−0.344445	−	0.208774i
$793$	−1.26261	+	0.370736i	−0.0448366	+	0.0131652i
$794$	−30.1518	+	8.85337i	−1.07005	+	0.314194i
$795$	41.3066	−	12.7209i	1.46500	−	0.451165i
$796$	−14.5179	+	2.08736i	−0.514574	+	0.0739846i
$797$	35.4281	+	40.8862i	1.25493	+	1.44826i	0.843776	+	0.536695i	$0.180327\pi$
$797$	35.4281	+	40.8862i	1.25493	+	1.44826i	0.411150	+	0.911568i	$0.365127\pi$
$798$	−11.3145	−	1.52670i	−0.400527	−	0.0540447i
$799$	59.0269	−	37.9343i	2.08822	−	1.34202i
$800$	0.0915753	+	0.0131665i	0.00323767	+	0.000465507i
$801$	23.1898	−	28.2292i	0.819371	−	0.997429i
$802$	0.681344	−	0.786313i	0.0240591	−	0.0277657i
$803$	7.30409	+	2.14467i	0.257756	+	0.0756839i
$804$	−3.12587	+	2.78137i	−0.110241	+	0.0980913i
$805$	−18.6232	+	21.7502i	−0.656382	+	0.766594i
$806$			0.997125i			0.0351222i
$807$	−21.2679	+	10.0527i	−0.748665	+	0.353872i
$808$	9.49414	+	8.22672i	0.334003	+	0.289415i
$809$	16.4985	−	25.6722i	0.580056	−	0.902585i	−0.419931	−	0.907556i	$-0.637946\pi$
$809$	16.4985	−	25.6722i	0.580056	−	0.902585i	0.999988	+	0.00497078i	$0.00158225\pi$
$810$	−18.8925	−	7.45429i	−0.663816	−	0.261917i
$811$	4.35681	+	6.77933i	0.152988	+	0.238054i	0.909285	−	0.416175i	$-0.136630\pi$
$811$	4.35681	+	6.77933i	0.152988	+	0.238054i	−0.756296	+	0.654229i	$0.772993\pi$
$812$	−18.7336	+	16.0866i	−0.657419	+	0.564530i
$813$	−3.47125	+	26.6233i	−0.121742	+	0.933719i
$814$	−5.39589	−	37.5292i	−0.189126	−	1.31540i
$815$	−5.08957	+	11.1446i	−0.178280	+	0.390378i
$816$	6.49927	−	10.4115i	0.227520	−	0.364476i
$817$	−1.61902	−	5.51388i	−0.0566424	−	0.192906i
$818$	11.9048	−	26.0678i	0.416241	−	0.911441i
$819$	0.444782	+	1.40094i	0.0155419	+	0.0489529i
$820$	−14.6040	−	16.8539i	−0.509992	−	0.588563i
$821$	10.9062	−	4.98069i	0.380628	−	0.173827i	−0.215907	−	0.976414i	$-0.569271\pi$
$821$	10.9062	−	4.98069i	0.380628	−	0.173827i	0.596535	+	0.802587i	$0.296544\pi$
$822$	0.0484693	−	0.173476i	0.00169056	−	0.00605068i
$823$	0.250461	−	1.74199i	0.00873050	−	0.0607220i	−0.984990	−	0.172609i	$-0.944780\pi$
$823$	0.250461	−	1.74199i	0.00873050	−	0.0607220i	0.993721	+	0.111887i	$0.0356894\pi$
$824$	−7.21604	−	4.63747i	−0.251383	−	0.161554i
$825$	−0.605410	+	0.00795989i	−0.0210777	+	0.000277128i
$826$	0.0450153	−	10.0677i	0.00156628	−	0.350301i
$827$		−	2.36831i		−	0.0823541i	−0.999152	−	0.0411771i	$-0.986889\pi$
$827$		−	2.36831i		−	0.0823541i	0.999152	−	0.0411771i	$-0.0131108\pi$
$828$	−13.9440	−	3.54469i	−0.484588	−	0.123187i
$829$			22.6716i			0.787419i	0.919235	+	0.393709i	$0.128808\pi$
$829$			22.6716i			0.787419i	−0.919235	+	0.393709i	$0.871192\pi$
$830$	6.78099	−	23.0939i	0.235372	−	0.801603i
$831$	0.0436343	+	3.31872i	0.00151366	+	0.115125i
$832$	0.100118	−	0.155787i	0.00347097	−	0.00540093i
$833$	20.2015	+	45.3029i	0.699941	+	1.56965i
$834$	4.15688	−	14.8779i	0.143941	−	0.515180i
$835$	16.7585	+	36.6960i	0.579951	+	1.26992i
$836$	−6.16448	−	7.11419i	−0.213203	−	0.246049i
$837$	19.1417	+	20.4060i	0.661634	+	0.705334i
$838$	13.0679	+	5.96789i	0.451422	+	0.206157i
$839$	−38.8451	+	11.4059i	−1.34108	+	0.393777i	−0.872055	−	0.489408i	$-0.837213\pi$
$839$	−38.8451	+	11.4059i	−1.34108	+	0.393777i	−0.469026	+	0.883184i	$0.655395\pi$
$840$	−9.94733	−	2.82729i	−0.343215	−	0.0975508i
$841$	−24.1372	+	52.8530i	−0.832316	+	1.82252i
$842$	−30.0623	+	4.32231i	−1.03602	+	0.148957i
$843$	3.64708	−	27.9719i	0.125612	−	0.963402i
$844$	7.67738	+	16.8111i	0.264266	+	0.578662i
$845$	24.6144	−	15.8187i	0.846761	−	0.544180i
$846$	7.61672	−	28.7123i	0.261868	−	0.987148i
$847$	8.30572	+	2.47917i	0.285388	+	0.0851853i
$848$	8.35693	+	7.24132i	0.286978	+	0.248668i
$849$	−6.76657	−	14.3156i	−0.232228	−	0.491310i
$850$		−	0.655588i		−	0.0224865i
$851$	−20.4447	−	43.5665i	−0.700835	−	1.49344i
$852$	8.56350	+	9.62418i	0.293381	+	0.329719i
$853$	12.6567	−	43.1047i	0.433357	−	1.47588i	−0.396570	−	0.918004i	$-0.629800\pi$
$853$	12.6567	−	43.1047i	0.433357	−	1.47588i	0.829927	−	0.557872i	$-0.188382\pi$
$854$	−7.88646	+	17.0666i	−0.269869	+	0.584007i
$855$	−13.0330	−	10.7064i	−0.445718	−	0.366150i
$856$	−0.114205	+	0.794317i	−0.00390346	+	0.0271492i
$857$	−4.65269	+	2.99010i	−0.158933	+	0.102140i	−0.617690	−	0.786422i	$-0.711931\pi$
$857$	−4.65269	+	2.99010i	−0.158933	+	0.102140i	0.458757	+	0.888562i	$0.348295\pi$
$858$	−0.488908	+	1.10891i	−0.0166911	+	0.0378577i
$859$	22.4348	−	19.4398i	0.765465	−	0.663279i	−0.181943	−	0.983309i	$-0.558239\pi$
$859$	22.4348	−	19.4398i	0.765465	−	0.663279i	0.947407	+	0.320030i	$0.103693\pi$
$860$	−0.740781	−	5.15224i	−0.0252604	−	0.175690i
$861$	24.8131	+	37.8833i	0.845629	+	1.29106i
$862$	−24.4321	+	7.17392i	−0.832162	+	0.244345i
$863$	−0.0338135	−	0.115158i	−0.00115102	−	0.00392003i	0.958915	−	0.283692i	$-0.0915593\pi$
$863$	−0.0338135	−	0.115158i	−0.00115102	−	0.00392003i	−0.960066	+	0.279772i	$0.909741\pi$
$864$	−0.941720	−	5.11010i	−0.0320380	−	0.173849i
$865$	−2.99650	−	20.8411i	−0.101884	−	0.708618i
$866$	−5.61244	−	6.47711i	−0.190719	−	0.220101i
$867$	−52.6383	−	23.2077i	−1.78769	−	0.788174i
$868$	10.7246	+	9.37724i	0.364018	+	0.318284i
$869$	28.8809	+	4.15244i	0.979716	+	0.140862i
$870$	−36.0365	+	5.66578i	−1.22175	+	0.192088i
$871$	0.338086	+	0.292954i	0.0114556	+	0.00992635i
$872$	−5.12086	+	17.4401i	−0.173414	+	0.590595i
$873$	−34.7982	−	4.07262i	−1.17774	−	0.137837i
$874$	−10.1180	−	6.35517i	−0.342246	−	0.214967i
$875$	28.1502	−	8.12910i	0.951650	−	0.274814i
$876$	1.49125	+	3.15495i	0.0503847	+	0.106596i
$877$	21.8921	−	25.2648i	0.739243	−	0.853132i	−0.254237	−	0.967142i	$-0.581824\pi$
$877$	21.8921	−	25.2648i	0.739243	−	0.853132i	0.993480	+	0.114010i	$0.0363697\pi$
$878$	10.3448	+	6.64819i	0.349120	+	0.224366i
$879$	7.15109	+	10.8121i	0.241200	+	0.364683i
$880$	−4.60978	−	7.17296i	−0.155396	−	0.241800i
$881$	−21.2284	−	46.4837i	−0.715203	−	1.56608i	−0.820507	−	0.571637i	$-0.806309\pi$
$881$	−21.2284	−	46.4837i	−0.715203	−	1.56608i	0.105304	−	0.994440i	$-0.466419\pi$
$882$	19.2508	+	8.39096i	0.648207	+	0.282538i
$883$	1.98708	+	13.8204i	0.0668706	+	0.465095i	0.995552	+	0.0942161i	$0.0300345\pi$
$883$	1.98708	+	13.8204i	0.0668706	+	0.465095i	−0.928681	+	0.370879i	$0.879056\pi$
$884$	−1.19366	−	0.545124i	−0.0401470	−	0.0183345i
$885$	7.87603	−	12.6170i	0.264750	−	0.424116i
$886$	−29.7195	+	8.72643i	−0.998446	+	0.293170i
$887$	−13.7465	+	30.1006i	−0.461562	+	1.01068i	0.525567	+	0.850753i	$0.323853\pi$
$887$	−13.7465	+	30.1006i	−0.461562	+	1.01068i	−0.987129	+	0.159928i	$0.948874\pi$
$888$	11.2083	−	13.2840i	0.376125	−	0.445781i
$889$	−4.94641	−	3.21020i	−0.165897	−	0.107667i
$890$	24.9974	−	11.4159i	0.837915	−	0.382663i
$891$	11.2823	+	32.0792i	0.377970	+	1.07469i
$892$	27.0949	+	3.89566i	0.907204	+	0.130436i
$893$	13.3372	−	20.7531i	0.446312	−	0.694476i
$894$	0.491152	+	37.3558i	0.0164266	+	1.24937i
$895$	13.8329	−	47.1104i	0.462382	−	1.57473i
$896$	−0.734036	−	2.54189i	−0.0245224	−	0.0849185i
$897$	−0.183054	+	1.52732i	−0.00611200	+	0.0509959i
$898$	13.8659			0.462712
$899$	48.2177	+	14.1580i	1.60815	+	0.472195i
$900$	−0.187209	−	0.204908i	−0.00624031	−	0.00683026i
$901$	42.3630	−	65.9182i	1.41132	−	2.19605i
$902$	−5.31387	+	36.9588i	−0.176933	+	1.23059i
$903$	0.0917054	+	10.5698i	0.00305176	+	0.351741i
$904$	−2.45807	−	5.38243i	−0.0817543	−	0.179017i
$905$	13.0629	−	11.3191i	0.434227	−	0.376260i
$906$	−15.6224	+	18.5156i	−0.519020	+	0.615138i
$907$	−3.18609	+	6.97657i	−0.105792	+	0.231653i	−0.955124	−	0.296207i	$-0.904278\pi$
$907$	−3.18609	+	6.97657i	−0.105792	+	0.231653i	0.849331	+	0.527860i	$0.177005\pi$
$908$	11.9063	−	3.49600i	0.395124	−	0.116019i
$909$	−6.34243	−	37.1501i	−0.210365	−	1.23219i
$910$	−0.162243	+	1.09368i	−0.00537829	+	0.0362553i
$911$	−37.7911	+	5.43353i	−1.25207	+	0.180021i	−0.736271	−	0.676687i	$-0.763415\pi$
$911$	−37.7911	+	5.43353i	−1.25207	+	0.180021i	−0.515802	+	0.856708i	$0.672506\pi$
$912$	0.557913	−	4.27900i	0.0184743	−	0.141692i
$913$	−36.6573	+	16.7409i	−1.21318	+	0.554041i
$914$	8.73401	+	13.5904i	0.288895	+	0.449530i
$915$	−23.1662	+	15.3221i	−0.765851	+	0.506532i
$916$	−10.8057	+	16.8141i	−0.357032	+	0.555553i
$917$	0.895864	−	1.93868i	0.0295840	−	0.0640209i
$918$	−34.8926	+	11.7586i	−1.15163	+	0.388091i
$919$	10.2198			0.337121			0.168560	−	0.985691i	$-0.446088\pi$
$919$	10.2198			0.337121			0.168560	+	0.985691i	$0.446088\pi$
$920$	−8.25219	−	7.00209i	−0.272067	−	0.230852i
$921$	22.4246	+	25.2021i	0.738916	+	0.830438i
$922$	10.1463	−	34.5551i	0.334150	−	1.13801i
$923$	0.901969	−	1.04093i	0.0296887	−	0.0342626i
$924$	7.32916	+	15.6870i	0.241112	+	0.516065i
$925$	0.132123	−	0.918937i	0.00434418	−	0.0302145i
$926$	−7.80065	−	12.1381i	−0.256345	−	0.398881i
$927$	7.89652	+	24.4916i	0.259356	+	0.804411i
$928$	−6.11177	−	7.05336i	−0.200629	−	0.231538i
$929$	−1.07900	−	7.50464i	−0.0354010	−	0.246219i	0.964435	−	0.264319i	$-0.0851473\pi$
$929$	−1.07900	−	7.50464i	−0.0354010	−	0.246219i	−0.999836	+	0.0181002i	$0.994238\pi$
$930$	6.19436	+	20.1139i	0.203121	+	0.659562i
$931$	13.0774	+	11.5380i	0.428595	+	0.378143i
$932$	2.96294	+	10.0909i	0.0970544	+	0.330537i
$933$	−10.3924	−	33.7457i	−0.340233	−	1.10478i
$934$	27.7892	−	3.99548i	0.909289	−	0.130736i
$935$	−45.6624	+	39.5667i	−1.49332	+	1.29397i
$936$	−0.528749	+	0.170478i	−0.0172827	+	0.00557223i
$937$	−3.13656	−	4.88058i	−0.102467	−	0.159442i	0.786234	−	0.617929i	$-0.212028\pi$
$937$	−3.13656	−	4.88058i	−0.102467	−	0.159442i	−0.888701	+	0.458487i	$0.848392\pi$
$938$	6.33034	−	0.881294i	0.206693	−	0.0287753i
$939$	−2.30740	−	14.6759i	−0.0752993	−	0.478931i
$940$	14.6328	−	16.8872i	0.477271	−	0.550800i
$941$	−1.25656	−	0.368958i	−0.0409626	−	0.0120277i	0.261187	−	0.965288i	$-0.415886\pi$
$941$	−1.25656	−	0.368958i	−0.0409626	−	0.0120277i	−0.302150	+	0.953261i	$0.597704\pi$
$942$	10.0889	−	8.97698i	0.328713	−	0.292486i
$943$	7.23084	+	46.8387i	0.235469	+	1.52528i
$944$	3.80528			0.123851
$945$	17.6751	+	25.4966i	0.574970	+	0.829405i
$946$	−5.70726	+	6.58653i	−0.185559	+	0.214146i
$947$	−11.7076	+	18.2174i	−0.380446	+	0.591986i	−0.977685	−	0.210078i	$-0.932628\pi$
$947$	−11.7076	+	18.2174i	−0.380446	+	0.591986i	0.597239	+	0.802064i	$0.296265\pi$
$948$	7.37862	+	11.1561i	0.239646	+	0.362334i
$949$	0.313870	−	0.201712i	0.0101886	−	0.00654784i
$950$	−0.0957515	−	0.209667i	−0.00310659	−	0.00680248i
$951$	7.53087	−	57.7592i	0.244205	−	1.87297i
$952$	−17.0886	+	7.71194i	−0.553844	+	0.249945i
$953$	−28.9632	−	13.2271i	−0.938211	−	0.428467i	−0.113193	−	0.993573i	$-0.536108\pi$
$953$	−28.9632	−	13.2271i	−0.938211	−	0.428467i	−0.825018	+	0.565106i	$0.808835\pi$
$954$	−5.58273	−	32.7003i	−0.180748	−	1.05871i
$955$	−0.892119	−	3.03828i	−0.0288683	−	0.0983163i
$956$	7.19037	+	3.28373i	0.232553	+	0.106203i
$957$	46.6815	+	39.3872i	1.50900	+	1.27321i
$958$	−2.72906	+	2.36475i	−0.0881720	+	0.0764015i
$959$	−0.208739	+	0.179246i	−0.00674054	+	0.00578815i
$960$	1.05179	−	3.76448i	0.0339465	−	0.121498i
$961$	−0.285637	+	1.98665i	−0.00921410	+	0.0640855i
$962$	−1.56328	−	1.00466i	−0.0504023	−	0.0323916i
$963$	1.77735	−	1.62384i	0.0572744	−	0.0523274i
$964$	−1.93426	+	6.58749i	−0.0622984	+	0.212169i
$965$	1.80831			0.0582116
$966$	14.7057	+	16.3322i	0.473149	+	0.525481i
$967$	−34.2332			−1.10087			−0.550433	−	0.834879i	$-0.685537\pi$
$967$	−34.2332			−1.10087			−0.550433	+	0.834879i	$0.685537\pi$
$968$	−0.922992	+	3.14342i	−0.0296661	+	0.101033i
$969$	−30.5756	+	0.402006i	−0.982230	+	0.0129143i
$970$	−22.1709	−	14.2484i	−0.711865	−	0.457488i
$971$	−0.446467	+	3.10525i	−0.0143278	+	0.0996521i	−0.995730	−	0.0923084i	$-0.970575\pi$
$971$	−0.446467	+	3.10525i	−0.0143278	+	0.0996521i	0.981403	+	0.191960i	$0.0614845\pi$
$972$	−7.54812	+	13.6391i	−0.242106	+	0.437475i
$973$	−17.9022	+	15.3727i	−0.573917	+	0.492826i
$974$	6.34104	−	5.49454i	0.203180	−	0.176057i
$975$	−0.0191362	+	0.0226801i	−0.000612850	+	0.000726346i
$976$	−6.46383	−	2.95193i	−0.206902	−	0.0944890i
$977$	6.40763	+	21.8224i	0.204998	+	0.698159i	0.996238	+	0.0866541i	$0.0276175\pi$
$977$	6.40763	+	21.8224i	0.204998	+	0.698159i	−0.791240	+	0.611505i	$0.790564\pi$
$978$	7.97695	+	4.97952i	0.255075	+	0.159227i
$979$	−41.8537	−	19.1140i	−1.33765	−	0.610885i
$980$	10.2374	+	12.0303i	0.327022	+	0.384294i
$981$	45.0818	−	30.6765i	1.43935	−	0.979424i
$982$	−6.36927	−	13.9468i	−0.203251	−	0.445059i
$983$	−12.7310	+	8.18170i	−0.406055	+	0.260956i	−0.727687	−	0.685909i	$-0.759405\pi$
$983$	−12.7310	+	8.18170i	−0.406055	+	0.260956i	0.321632	+	0.946865i	$0.395768\pi$
$984$	−14.2765	+	9.44241i	−0.455117	+	0.301013i
$985$	17.2528	−	26.8459i	0.549720	−	0.855381i
$986$	−43.3089	+	49.9811i	−1.37924	+	1.59172i
$987$	−34.0336	+	30.0112i	−1.08330	+	0.955266i
$988$	−0.461366			−0.0146780
$989$	−4.49078	+	10.1095i	−0.142799	+	0.321465i
$990$	−2.97342	+	25.4061i	−0.0945013	+	0.807460i
$991$	−50.9549	−	14.9617i	−1.61863	−	0.475274i	−0.657984	−	0.753032i	$-0.728590\pi$
$991$	−50.9549	−	14.9617i	−1.61863	−	0.475274i	−0.960651	+	0.277758i	$0.910409\pi$
$992$	−3.52610	+	4.06934i	−0.111954	+	0.129202i
$993$	−17.5888	+	2.76537i	−0.558163	+	0.0877564i
$994$	−2.71340	−	19.4903i	−0.0860638	−	0.618196i
$995$	17.8946	+	27.8446i	0.567298	+	0.882732i
$996$	−16.9036	−	7.45261i	−0.535611	−	0.236145i
$997$	−6.25687	+	5.42161i	−0.198157	+	0.171704i	−0.748287	−	0.663375i	$-0.769124\pi$
$997$	−6.25687	+	5.42161i	−0.198157	+	0.171704i	0.550130	+	0.835079i	$0.314578\pi$
$998$	−15.2398	+	2.19115i	−0.482407	+	0.0693597i
$999$	−51.2787	+	9.44995i	−1.62239	+	0.298983i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.t.a.41.16	✓	640
3.2	odd	2	inner	966.2.t.a.41.34	yes	640
7.6	odd	2	inner	966.2.t.a.41.17	yes	640
21.20	even	2	inner	966.2.t.a.41.63	yes	640
23.9	even	11	inner	966.2.t.a.377.63	yes	640
69.32	odd	22	inner	966.2.t.a.377.17	yes	640
161.55	odd	22	inner	966.2.t.a.377.34	yes	640
483.377	even	22	inner	966.2.t.a.377.16	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.t.a.41.16	✓	640	1.1	even	1	trivial
966.2.t.a.41.17	yes	640	7.6	odd	2	inner
966.2.t.a.41.34	yes	640	3.2	odd	2	inner
966.2.t.a.41.63	yes	640	21.20	even	2	inner
966.2.t.a.377.16	yes	640	483.377	even	22	inner
966.2.t.a.377.17	yes	640	69.32	odd	22	inner
966.2.t.a.377.34	yes	640	161.55	odd	22	inner
966.2.t.a.377.63	yes	640	23.9	even	11	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-0.0227709 - 1.73190i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.321156 + 2.23369i) q^{5} +(1.66816 + 0.466084i) q^{6} +(-1.72364 - 2.00725i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.99896 + 0.0788740i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-0.0227709 - 1.73190i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.321156 + 2.23369i) q^{5} +(1.66816 + 0.466084i) q^{6} +(-1.72364 - 2.00725i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.99896 + 0.0788740i) q^{9} +(-2.05273 - 0.937451i) q^{10} +(1.06449 + 3.62533i) q^{11} +(-0.917180 + 1.46928i) q^{12} +(0.168449 + 0.0769282i) q^{13} +(2.41155 - 1.08831i) q^{14} +(3.87585 + 0.505348i) q^{15} +(0.415415 + 0.909632i) q^{16} +(5.96124 - 3.83106i) q^{17} +(0.769226 - 2.89971i) q^{18} +(1.34695 - 2.09589i) q^{19} +(1.47780 - 1.70547i) q^{20} +(-3.43711 + 3.03088i) q^{21} -3.77838 q^{22} +(-4.58731 + 1.39878i) q^{23} +(-1.15136 - 1.29397i) q^{24} +(-0.0887694 - 0.0260650i) q^{25} +(-0.121270 + 0.139953i) q^{26} +(0.204891 + 5.19211i) q^{27} +(0.364817 + 2.62048i) q^{28} +(5.04577 + 7.85137i) q^{29} +(-1.57683 + 3.57647i) q^{30} +(4.06934 - 3.52610i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(6.25447 - 1.92615i) q^{33} +(1.99640 + 6.79910i) q^{34} +(5.03714 - 3.20544i) q^{35} +(2.56553 + 1.55501i) q^{36} +(1.42810 + 9.93263i) q^{37} +(1.63152 + 1.88287i) q^{38} +(0.129396 - 0.293489i) q^{39} +(1.22004 + 1.89842i) q^{40} +(1.40639 - 9.78166i) q^{41} +(-1.93976 - 4.15178i) q^{42} +(1.51051 - 1.74322i) q^{43} +(1.06449 - 3.62533i) q^{44} +(0.786956 - 6.72409i) q^{45} +(-0.0497252 - 4.79557i) q^{46} +9.90179 q^{47} +(1.56593 - 0.740171i) q^{48} +(-1.05812 + 6.91956i) q^{49} +(0.0500184 - 0.0778302i) q^{50} +(-6.77075 - 10.2370i) q^{51} +(-0.100118 - 0.155787i) q^{52} +(10.0585 - 4.59358i) q^{53} +(-5.03952 - 1.26620i) q^{54} +(-8.43973 + 1.21345i) q^{55} +(-2.61711 - 0.388235i) q^{56} +(-3.66055 - 2.28506i) q^{57} +(-8.95489 + 2.62939i) q^{58} +(1.58077 - 3.46140i) q^{59} +(-2.98736 - 2.52057i) q^{60} +(-5.37034 + 4.65343i) q^{61} +(2.23681 + 4.89792i) q^{62} +(5.32746 + 5.88372i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-0.225933 + 0.351558i) q^{65} +(0.0860371 + 6.54377i) q^{66} +(2.31786 + 0.680586i) q^{67} -7.08614 q^{68} +(2.52701 + 7.91292i) q^{69} +(1.65647 + 5.73618i) q^{70} +(2.09544 - 7.13643i) q^{71} +(-2.21481 + 2.02351i) q^{72} +(1.08925 - 1.69491i) q^{73} +(-9.93263 - 1.42810i) q^{74} +(-0.0431207 + 0.154333i) q^{75} +(-2.26625 + 1.03496i) q^{76} +(5.44214 - 8.38546i) q^{77} +(0.245146 + 0.206840i) q^{78} +(3.20797 - 7.02447i) q^{79} +(-2.16525 + 0.635775i) q^{80} +(8.98756 - 0.473080i) q^{81} +(8.98920 + 4.10523i) q^{82} +(1.51789 + 10.5572i) q^{83} +(4.53010 - 0.691497i) q^{84} +(6.64291 + 14.5459i) q^{85} +(1.24705 + 1.94044i) q^{86} +(13.4829 - 8.91755i) q^{87} +(3.17857 + 2.04274i) q^{88} +(-7.97466 + 9.20324i) q^{89} +(6.23000 + 2.64947i) q^{90} +(-0.135932 - 0.470717i) q^{91} +(4.61533 + 1.30336i) q^{92} +(-6.19952 - 6.96740i) q^{93} +(-2.78966 + 9.50070i) q^{94} +(4.24900 + 3.68178i) q^{95} +(0.269014 + 1.71103i) q^{96} +(11.5597 + 1.66204i) q^{97} +(-6.34117 - 2.96473i) q^{98} +(-3.47832 - 10.7883i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) \) 640 * q + 64 * q^4 + 8 * q^9	\( 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) \) 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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