LMFDB - Embedded newform 966.2.t.a.377.16

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			377.16
Character	$\chi$	$=$	966.377
Dual form			966.2.t.a.41.16

$q$-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 $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{11}\right)$

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	−0.926376	−	0.376601i	$-0.877093\pi$
$5$	−0.321156	−	2.23369i	−0.143625	−	0.998937i	0.782750	−	0.622336i	$-0.213816\pi$
$6$	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	−0.628142	−	0.778098i	$-0.716185\pi$
$11$	1.06449	−	3.62533i	0.320956	−	1.09308i	0.949099	−	0.314979i	$-0.101997\pi$
$12$	−0.917180	−	1.46928i	−0.264767	−	0.424144i
$13$	0.168449	−	0.0769282i	0.0467194	−	0.0213361i	−0.391918	−	0.920000i	$-0.628188\pi$
$13$	0.168449	−	0.0769282i	0.0467194	−	0.0213361i	0.438638	+	0.898664i	$0.355461\pi$
$14$	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	0.999410	+	0.0343355i	$0.0109315\pi$
$17$	5.96124	+	3.83106i	1.44581	+	0.929168i	0.446403	+	0.894832i	$0.352705\pi$
$18$	0.769226	+	2.89971i	0.181308	+	0.683467i
$19$	1.34695	+	2.09589i	0.309011	+	0.480831i	0.960674	−	0.277678i	$-0.0895648\pi$
$19$	1.34695	+	2.09589i	0.309011	+	0.480831i	−0.651663	+	0.758509i	$0.725928\pi$
$20$	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	0.0486137	−	0.998818i	$-0.484520\pi$
$29$	5.04577	−	7.85137i	0.936975	−	1.45796i	0.888362	−	0.459144i	$-0.151844\pi$
$30$	−1.57683	−	3.57647i	−0.287888	−	0.652972i
$31$	4.06934	+	3.52610i	0.730875	+	0.633307i	0.938651	−	0.344870i	$-0.112077\pi$
$31$	4.06934	+	3.52610i	0.730875	+	0.633307i	−0.207776	+	0.978177i	$0.566622\pi$
$32$	−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	−0.442204	−	0.896915i	$-0.645803\pi$
$37$	1.42810	−	9.93263i	0.234778	−	1.63291i	0.676981	−	0.736000i	$-0.263288\pi$
$38$	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	0.739366	+	0.673304i	$0.235125\pi$
$41$	1.40639	+	9.78166i	0.219641	+	1.52764i	−0.519725	+	0.854334i	$0.673965\pi$
$42$	−1.93976	+	4.15178i	−0.299312	+	0.640634i
$43$	1.51051	+	1.74322i	0.230350	+	0.265838i	0.859144	−	0.511734i	$-0.170997\pi$
$43$	1.51051	+	1.74322i	0.230350	+	0.265838i	−0.628794	+	0.777572i	$0.716451\pi$
$44$	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	0.961076	−	0.276284i	$-0.0891032\pi$
$53$	10.0585	+	4.59358i	1.38164	+	0.630976i	0.420569	+	0.907261i	$0.361830\pi$
$54$	−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	0.984184	−	0.177151i	$-0.0566881\pi$
$59$	1.58077	+	3.46140i	0.205799	+	0.450636i	−0.778385	+	0.627787i	$0.783961\pi$
$60$	−2.98736	+	2.52057i	−0.385666	+	0.325404i
$61$	−5.37034	−	4.65343i	−0.687602	−	0.595810i	0.239376	−	0.970927i	$-0.423057\pi$
$61$	−5.37034	−	4.65343i	−0.687602	−	0.595810i	−0.926978	+	0.375117i	$0.877603\pi$
$62$	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	−0.137062	−	0.990562i	$-0.543766\pi$
$67$	2.31786	−	0.680586i	0.283172	−	0.0831469i	0.420234	+	0.907416i	$0.361948\pi$
$68$	−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	0.985330	+	0.170660i	$0.0545900\pi$
$71$	2.09544	+	7.13643i	0.248683	+	0.846938i	−0.736647	+	0.676278i	$0.763592\pi$
$72$	−2.21481	−	2.02351i	−0.261018	−	0.238473i
$73$	1.08925	+	1.69491i	0.127487	+	0.198374i	0.899129	−	0.437683i	$-0.144201\pi$
$73$	1.08925	+	1.69491i	0.127487	+	0.198374i	−0.771642	+	0.636057i	$0.780564\pi$
$74$	−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	0.999780	+	0.0209877i	$0.00668107\pi$
$79$	3.20797	+	7.02447i	0.360925	+	0.790315i	−0.638855	+	0.769327i	$0.720592\pi$
$80$	−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	−0.719218	−	0.694785i	$-0.755500\pi$
$83$	1.51789	−	10.5572i	0.166610	−	1.15880i	0.885828	−	0.464014i	$-0.153591\pi$
$84$	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	0.154611	−	0.987975i	$-0.450588\pi$
$89$	−7.97466	−	9.20324i	−0.845312	−	0.975542i	−0.999923	+	0.0124335i	$0.996042\pi$
$90$	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	0.472252	−	0.881464i	$-0.343441\pi$
$97$	11.5597	−	1.66204i	1.17371	−	0.168754i	0.701459	+	0.712710i	$0.252532\pi$
$98$	−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	−0.683723	−	0.729742i	$-0.739640\pi$
$101$	1.78784	−	12.4347i	0.177896	−	1.23730i	0.861619	−	0.507555i	$-0.169451\pi$
$102$	11.7299	+	3.61238i	1.16143	+	0.357679i
$103$	−2.41662	+	8.23026i	−0.238117	+	0.810952i	0.750548	+	0.660816i	$0.229789\pi$
$103$	−2.41662	+	8.23026i	−0.238117	+	0.810952i	−0.988665	+	0.150136i	$0.952029\pi$
$104$	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	0.625053	−	0.780583i	$-0.285077\pi$
$107$	−0.606477	−	0.525516i	−0.0586304	−	0.0508035i	−0.683683	+	0.729779i	$0.739623\pi$
$108$	2.63470	+	4.47865i	0.253524	+	0.430959i
$109$	−15.2909	−	9.82687i	−1.46460	−	0.941243i	−0.998399	−	0.0565660i	$-0.981985\pi$
$109$	−15.2909	−	9.82687i	−1.46460	−	0.941243i	−0.466204	−	0.884677i	$-0.654379\pi$
$110$	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	0.999994	−	0.00355546i	$-0.00113174\pi$
$113$	1.66705	+	5.67746i	0.156823	+	0.534091i	−0.843170	+	0.537646i	$0.819314\pi$
$114$	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	0.375232	−	0.926931i	$-0.377563\pi$
$127$	2.13850	+	0.627921i	0.189761	+	0.0557190i	−0.185471	+	0.982650i	$0.559381\pi$
$128$	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	−0.894418	−	0.447233i	$-0.852410\pi$
$131$	0.335325	−	0.734259i	0.0292975	−	0.0641525i	0.923715	+	0.383080i	$0.125137\pi$
$132$	−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	$0.00141404\pi$
$137$			0.103992i			0.00888468i	−0.999990	+	0.00444234i	$0.998586\pi$
$138$	−8.30433	−	0.195319i	−0.706911	−	0.0166266i
$139$			8.91874i			0.756477i	0.925708	+	0.378239i	$0.123470\pi$
$139$			8.91874i			0.756477i	−0.925708	+	0.378239i	$0.876530\pi$
$140$	−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	−0.200522	−	0.979689i	$-0.564264\pi$
$149$	6.07676	−	20.6956i	0.497828	−	1.69545i	0.698350	−	0.715757i	$-0.253918\pi$
$150$	−0.135933	+	0.0848547i	−0.0110989	+	0.00692836i
$151$	−5.81030	−	12.7228i	−0.472835	−	1.03536i	−0.984372	−	0.176103i	$-0.943651\pi$
$151$	−5.81030	−	12.7228i	−0.472835	−	1.03536i	0.511537	−	0.859262i	$-0.329076\pi$
$152$	−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	0.967709	−	0.252071i	$-0.0811116\pi$
$157$	4.21528	+	6.55911i	0.336416	+	0.523474i	−0.631293	+	0.775545i	$0.717475\pi$
$158$	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	−0.0712810	−	0.997456i	$-0.522709\pi$
$163$	5.20924	−	1.52957i	0.408019	−	0.119805i	0.479300	+	0.877651i	$0.340891\pi$
$164$	−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	0.972328	−	0.233622i	$-0.0750577\pi$
$167$	15.0388	+	9.66485i	1.16374	+	0.747889i	0.191410	+	0.981510i	$0.438694\pi$
$168$	−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	−0.0769031	−	0.997039i	$-0.524503\pi$
$173$	−8.95239	−	2.62866i	−0.680638	−	0.199853i	−0.603735	+	0.797185i	$0.706321\pi$
$174$	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	−0.887681	−	0.460459i	$-0.847685\pi$
$179$	−21.5360	+	3.09641i	−1.60968	+	0.231437i	−0.721997	+	0.691896i	$0.756776\pi$
$180$	−4.29735	−	5.23120i	−0.320305	−	0.389911i
$181$	−5.78861	+	5.01586i	−0.430264	+	0.372826i	−0.842900	−	0.538070i	$-0.819154\pi$
$181$	−5.78861	+	5.01586i	−0.430264	+	0.372826i	0.412636	+	0.910896i	$0.364608\pi$
$182$	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	0.368701	−	0.929548i	$-0.379803\pi$
$191$	−1.27639	−	0.582910i	−0.0923567	−	0.0421779i	−0.461058	+	0.887370i	$0.652530\pi$
$192$	−1.71751	+	0.223936i	−0.123951	+	0.0161612i
$193$	−0.114040	+	0.793166i	−0.00820878	+	0.0570933i	−0.993514	−	0.113709i	$-0.963727\pi$
$193$	−0.114040	+	0.793166i	−0.00820878	+	0.0570933i	0.985305	+	0.170802i	$0.0546359\pi$
$194$	−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	−0.817088	−	0.576513i	$-0.804413\pi$
$197$	−12.8632	+	5.87445i	−0.916468	+	0.418537i	−0.0993799	+	0.995050i	$0.531686\pi$
$198$	11.3312	+	0.298016i	0.805274	+	0.0211790i
$199$	11.0847	+	9.60498i	0.785776	+	0.680879i	0.952302	−	0.305158i	$-0.0987094\pi$
$199$	11.0847	+	9.60498i	0.785776	+	0.680879i	−0.166526	+	0.986037i	$0.553255\pi$
$200$	−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	−0.952303	−	0.305153i	$-0.901292\pi$
$211$	−15.5474	+	9.99171i	−1.07033	+	0.687857i	−0.118024	+	0.993011i	$0.537656\pi$
$212$	−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	−0.999857	−	0.0169265i	$-0.994612\pi$
$223$	−24.8998	−	11.3714i	−1.66742	−	0.761483i	−0.667559	−	0.744557i	$-0.732661\pi$
$224$	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	0.419019	−	0.907978i	$-0.362374\pi$
$227$	−8.12612	−	9.37805i	−0.539350	−	0.622443i	−0.958368	+	0.285535i	$0.907829\pi$
$228$	1.84406	−	3.90135i	0.122126	−	0.258374i
$229$			19.9869i			1.32077i	0.750926	+	0.660387i	$0.229608\pi$
$229$			19.9869i			1.32077i	−0.750926	+	0.660387i	$0.770392\pi$
$230$	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	−0.875126	−	0.483896i	$-0.839221\pi$
$233$	−7.94811	+	6.88708i	−0.520698	+	0.451188i	0.354427	+	0.935084i	$0.384676\pi$
$234$	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	−0.115469	−	0.993311i	$-0.536837\pi$
$239$	−7.82424	−	1.12496i	−0.506108	−	0.0727674i	−0.390639	+	0.920544i	$0.627746\pi$
$240$	1.15040	−	3.73552i	0.0742582	−	0.241127i
$241$	−1.93426	+	6.58749i	−0.124597	+	0.424338i	−0.998039	−	0.0625894i	$-0.980064\pi$
$241$	−1.93426	+	6.58749i	−0.124597	+	0.424338i	0.873443	+	0.486927i	$0.161882\pi$
$242$	−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	0.395729	−	0.918367i	$-0.370492\pi$
$251$	19.4099	−	5.69927i	1.22514	−	0.359735i	0.829415	+	0.558632i	$0.188674\pi$
$252$	−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	−0.0429182	−	0.999079i	$-0.513665\pi$
$257$	13.5952	−	8.73712i	0.848047	−	0.545007i	0.890965	+	0.454072i	$0.150029\pi$
$258$	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	−0.0771311	−	0.997021i	$-0.524576\pi$
$263$	10.1497	−	4.63521i	0.625857	−	0.285819i	0.702988	+	0.711202i	$0.251849\pi$
$264$	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	−0.999999	−	0.00150831i	$-0.999520\pi$
$269$	−5.64200	+	12.3543i	−0.343999	+	0.753253i	0.656000	+	0.754761i	$0.272247\pi$
$270$	4.44676	+	10.8501i	0.270621	+	0.660315i
$271$	−15.3433	+	2.20603i	−0.932038	+	0.134007i	−0.591574	−	0.806251i	$-0.701493\pi$
$271$	−15.3433	+	2.20603i	−0.932038	+	0.134007i	−0.340464	+	0.940258i	$0.610584\pi$
$272$	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	0.356439	−	0.934319i	$-0.383991\pi$
$281$	16.1205	−	2.31778i	0.961668	−	0.138267i	0.605229	+	0.796052i	$0.293082\pi$
$282$	16.5178	−	4.61507i	0.983620	−	0.274823i
$283$	8.31576	+	3.79768i	0.494321	+	0.225749i	0.646947	−	0.762535i	$-0.276046\pi$
$283$	8.31576	+	3.79768i	0.494321	+	0.225749i	−0.152626	+	0.988284i	$0.548773\pi$
$284$	−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	0.343652	−	0.939097i	$-0.388336\pi$
$293$	−6.29610	−	4.04626i	−0.367822	−	0.236385i	−0.711474	+	0.702712i	$0.751972\pi$
$294$	−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	0.124359	−	0.992237i	$-0.460313\pi$
$307$	−14.7194	−	12.7544i	−0.840081	−	0.727934i	−0.964440	+	0.264303i	$0.914858\pi$
$308$	−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	0.784486	−	0.620147i	$-0.212927\pi$
$311$	19.5603	+	5.74341i	1.10916	+	0.325679i	0.324675	+	0.945826i	$0.394745\pi$
$312$	−0.0944034	+	0.306541i	−0.00534454	+	0.0173545i
$313$	8.48994	+	1.22067i	0.479880	+	0.0689963i	0.378010	−	0.925801i	$-0.376608\pi$
$313$	8.48994	+	1.22067i	0.479880	+	0.0689963i	0.101870	+	0.994798i	$0.467517\pi$
$314$	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	0.888011	−	0.459822i	$-0.152087\pi$
$317$	33.2873	−	4.78598i	1.86960	−	0.268808i	0.981587	+	0.191014i	$0.0611776\pi$
$318$	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	0.909295	+	0.416152i	$0.136622\pi$
$331$	−1.46295	+	10.1750i	−0.0804107	+	0.559269i	−0.989706	+	0.143117i	$0.954287\pi$
$332$	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	−0.501325	−	0.865259i	$-0.667154\pi$
$337$	7.82899	−	9.03514i	0.426472	−	0.492175i	0.927798	+	0.373083i	$0.121699\pi$
$338$	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	0.950935	−	0.309390i	$-0.100125\pi$
$347$	−0.303840	−	1.03478i	−0.0163110	−	0.0555500i	−0.967246	+	0.253839i	$0.918307\pi$
$348$	−16.1637	−	0.212520i	−0.866467	−	0.0113922i
$349$	2.55451	+	3.97490i	0.136740	+	0.212772i	0.902870	−	0.429915i	$-0.141456\pi$
$349$	2.55451	+	3.97490i	0.136740	+	0.212772i	−0.766130	+	0.642686i	$0.777820\pi$
$350$	−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	−0.950469	−	0.310819i	$-0.899397\pi$
$353$	−9.53597	+	11.0051i	−0.507549	+	0.585742i	0.442921	+	0.896561i	$0.353942\pi$
$354$	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	0.429277	−	0.903173i	$-0.358768\pi$
$359$	11.1166	+	1.59833i	0.586712	+	0.0843564i	0.157435	+	0.987529i	$0.449678\pi$
$360$	−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	$-0.930005\pi$
$367$		−	8.35747i		−	0.436257i	0.975920	−	0.218128i	$-0.0699951\pi$
$368$	−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	0.976996	+	0.213258i	$0.0684076\pi$
$373$	1.92470	+	13.3866i	0.0996570	+	0.693130i	−0.877339	+	0.479871i	$0.840683\pi$
$374$	−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	0.368622	−	0.929579i	$-0.379830\pi$
$379$	3.42943	+	1.00697i	0.176158	+	0.0517246i	−0.192464	+	0.981304i	$0.561648\pi$
$380$	−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	0.158868	−	0.987300i	$-0.449216\pi$
$383$	21.7918	−	25.1491i	1.11351	−	1.28506i	0.954641	−	0.297759i	$-0.0962390\pi$
$384$	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	0.884981	−	0.465628i	$-0.154171\pi$
$389$	−2.19419	−	7.47273i	−0.111250	−	0.378882i	−0.996231	+	0.0867455i	$0.972353\pi$
$390$	−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	−0.0909738	−	0.995853i	$-0.528998\pi$
$397$	16.9895	−	26.4362i	0.852678	−	1.32679i	0.943652	−	0.330940i	$-0.107366\pi$
$398$	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	−0.438906	−	0.898533i	$-0.644634\pi$
$401$	−0.946419	+	0.432215i	−0.0472619	+	0.0215838i	0.391644	+	0.920117i	$0.371907\pi$
$402$	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	−0.801733	−	0.597683i	$-0.796088\pi$
$409$	−28.3659	+	4.07840i	−1.40260	+	0.201664i	−0.600870	+	0.799347i	$0.705179\pi$
$410$	−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	0.976816	+	0.214078i	$0.0686748\pi$
$419$	2.04451	+	14.2199i	0.0998808	+	0.694686i	−0.876936	+	0.480608i	$0.840416\pi$
$420$	0.0897197	−	10.3409i	0.00437787	−	0.504586i
$421$	12.6168	−	27.6268i	0.614903	−	1.34645i	−0.304266	−	0.952587i	$-0.598411\pi$
$421$	12.6168	−	27.6268i	0.614903	−	1.34645i	0.919169	−	0.393863i	$-0.128861\pi$
$422$	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	−0.332926	−	0.942953i	$-0.608036\pi$
$431$	13.7667	−	21.4213i	0.663116	−	1.03183i	0.996043	−	0.0888763i	$-0.0283276\pi$
$432$	−4.63780	−	2.34326i	−0.223136	−	0.112740i
$433$	−4.63353	−	7.20991i	−0.222673	−	0.346486i	0.711885	−	0.702296i	$-0.247842\pi$
$433$	−4.63353	−	7.20991i	−0.222673	−	0.346486i	−0.934559	+	0.355809i	$0.884205\pi$
$434$	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	0.999925	+	0.0122330i	$0.00389398\pi$
$439$	3.46443	+	11.7988i	0.165348	+	0.563124i	−0.834577	+	0.550891i	$0.814288\pi$
$440$	−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	−0.171873	−	0.985119i	$-0.554982\pi$
$443$	16.7459	−	26.0571i	0.795622	−	1.23801i	0.967494	−	0.252892i	$-0.0813818\pi$
$444$	−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	0.814503	+	0.580159i	$0.197010\pi$
$449$	−3.90649	+	13.3043i	−0.184358	+	0.627867i	−0.998861	+	0.0477077i	$0.984808\pi$
$450$	−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	0.947162	−	0.320756i	$-0.103937\pi$
$457$	10.5792	+	12.2091i	0.494875	+	0.571117i	−0.452286	+	0.891873i	$0.649392\pi$
$458$	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	0.492448	−	0.870342i	$-0.336102\pi$
$463$	−9.44868	−	10.9044i	−0.439117	−	0.506768i	−0.931566	+	0.363573i	$0.881557\pi$
$464$	−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	0.421746	+	0.906714i	$0.361417\pi$
$467$	−11.6627	+	25.5379i	−0.539688	+	1.18175i	−0.961434	+	0.275037i	$0.911310\pi$
$468$	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	−0.469397	−	0.882987i	$-0.655529\pi$
$479$	3.03782	−	1.95229i	0.138802	−	0.0892025i	0.608199	+	0.793785i	$0.291892\pi$
$480$	−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	−0.690706	−	0.723135i	$-0.742700\pi$
$487$	−7.05846	+	4.53619i	−0.319849	+	0.205555i	0.370857	+	0.928690i	$0.379064\pi$
$488$	−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	0.352955	−	0.935640i	$-0.385177\pi$
$491$	−11.5874	−	10.0405i	−0.522931	−	0.453122i	−0.875886	+	0.482518i	$0.839722\pi$
$492$	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	−0.710749	−	0.703446i	$-0.751644\pi$
$499$	6.39594	−	14.0052i	0.286322	−	0.626957i	0.997070	+	0.0764891i	$0.0243711\pi$
$500$	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	0.776959	−	0.629551i	$-0.216761\pi$
$503$	0.969841	+	1.11926i	0.0432431	+	0.0499052i	−0.733716	+	0.679456i	$0.762216\pi$
$504$	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	0.497595	−	0.867410i	$-0.334217\pi$
$509$	−9.74188	−	11.2427i	−0.431801	−	0.498325i	−0.929396	+	0.369084i	$0.879671\pi$
$510$	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	0.00497815	+	0.999988i	$0.498415\pi$
$521$	−22.4954	+	25.9610i	−0.985539	+	1.13737i	−0.990518	+	0.137386i	$0.956130\pi$
$522$	26.6480	+	8.59176i	1.16635	+	0.376051i
$523$	−14.0587	+	21.8757i	−0.614742	+	0.956558i	0.384696	+	0.923043i	$0.374306\pi$
$523$	−14.0587	+	21.8757i	−0.614742	+	0.956558i	−0.999438	+	0.0335143i	$0.989330\pi$
$524$	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	0.525201	−	0.850978i	$-0.323990\pi$
$541$	11.7915	+	3.46229i	0.506956	+	0.148856i	−0.0182459	+	0.999834i	$0.505808\pi$
$542$	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	0.994877	+	0.101092i	$0.0322336\pi$
$547$	1.60864	+	11.1883i	0.0687803	+	0.478378i	−0.926097	+	0.377286i	$0.876857\pi$
$548$	−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	0.0346464	−	0.999400i	$-0.488969\pi$
$557$	8.24738	−	1.18579i	0.349453	−	0.0502437i	0.314806	+	0.949156i	$0.398060\pi$
$558$	−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	−0.374049	−	0.927409i	$-0.622031\pi$
$563$	−28.2386	−	8.29160i	−1.19011	−	0.349449i	−0.816065	+	0.577960i	$0.803849\pi$
$564$	−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	−0.622797	−	0.782383i	$-0.714004\pi$
$569$	8.29162	−	12.9020i	0.347603	−	0.540881i	0.970400	+	0.241503i	$0.0776402\pi$
$570$	5.37200	−	8.12219i	0.225008	−	0.340201i
$571$	−34.2176	+	21.9903i	−1.43196	+	0.920266i	−0.432133	+	0.901810i	$0.642239\pi$
$571$	−34.2176	+	21.9903i	−1.43196	+	0.920266i	−0.999830	+	0.0184563i	$0.994125\pi$
$572$	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	0.971896	−	0.235410i	$-0.0756434\pi$
$577$	0.648866	+	2.20983i	0.0270126	+	0.0919966i	−0.944883	+	0.327407i	$0.893825\pi$
$578$	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	0.745858	−	0.666105i	$-0.232040\pi$
$587$	24.5477	+	7.20784i	1.01319	+	0.297500i	0.267332	+	0.963604i	$0.413858\pi$
$588$	−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	0.998342	+	0.0575542i	$0.0183302\pi$
$593$	1.37963	+	9.59556i	0.0566548	+	0.394043i	−0.941688	+	0.336488i	$0.890761\pi$
$594$	−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	$0.122700\pi$
$599$			18.4046i			0.751994i	−0.926621	+	0.375997i	$0.877300\pi$
$600$	0.0684783	−	0.144875i	0.00279562	−	0.00591451i
$601$	16.3084	−	14.1313i	0.665235	−	0.576430i	−0.255409	−	0.966833i	$-0.582210\pi$
$601$	16.3084	−	14.1313i	0.665235	−	0.576430i	0.920644	+	0.390404i	$0.127665\pi$
$602$	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	0.342289	−	0.939595i	$-0.388798\pi$
$607$	10.0027	+	1.43818i	0.405998	+	0.0583737i	0.0637094	+	0.997968i	$0.479707\pi$
$608$	−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	−0.834896	−	0.550408i	$-0.814472\pi$
$613$	−4.24050	+	4.89380i	−0.171272	+	0.197659i	0.663624	+	0.748067i	$0.269018\pi$
$614$	−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	0.514989	−	0.857197i	$-0.327796\pi$
$617$	−11.8901	−	18.5014i	−0.478679	−	0.744839i	−0.993668	+	0.112358i	$0.964160\pi$
$618$	−0.195323	+	14.8558i	−0.00785703	+	0.597587i
$619$	2.26434	+	7.71162i	0.0910114	+	0.309956i	0.992400	−	0.123055i	$-0.0392692\pi$
$619$	2.26434	+	7.71162i	0.0910114	+	0.309956i	−0.901388	+	0.433011i	$0.857451\pi$
$620$			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	0.941995	+	0.335627i	$0.108948\pi$
$631$	14.5385	+	31.8349i	0.578770	+	1.26733i	−0.363225	+	0.931701i	$0.618324\pi$
$632$	−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	−0.741133	−	0.671359i	$-0.765711\pi$
$641$	−4.60994	+	3.99453i	−0.182082	+	0.157775i	0.559051	+	0.829133i	$0.311166\pi$
$642$	−1.25664	−	0.593976i	−0.0495955	−	0.0234424i
$643$			8.26627i			0.325990i	0.986627	+	0.162995i	$0.0521154\pi$
$643$			8.26627i			0.325990i	−0.986627	+	0.162995i	$0.947885\pi$
$644$	−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	0.913042	−	0.407866i	$-0.133727\pi$
$647$	9.65017	+	11.1369i	0.379387	+	0.437836i	−0.533654	+	0.845703i	$0.679182\pi$
$648$	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	−0.0352286	−	0.999379i	$-0.511216\pi$
$653$	−8.95887	−	1.28809i	−0.350588	−	0.0504069i	−0.315359	+	0.948972i	$0.602125\pi$
$654$	−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	0.934731	−	0.355356i	$-0.115640\pi$
$659$	18.3809	+	15.9271i	0.716018	+	0.620433i	−0.218713	+	0.975789i	$0.570186\pi$
$660$	5.95786	+	13.5133i	0.231909	+	0.526003i
$661$	−20.2756	+	31.5494i	−0.788628	+	1.22713i	0.181226	+	0.983442i	$0.441994\pi$
$661$	−20.2756	+	31.5494i	−0.788628	+	1.22713i	−0.969854	+	0.243688i	$0.921643\pi$
$662$	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	−0.0980228	−	0.995184i	$-0.531252\pi$
$673$	−27.0836	−	17.4055i	−1.04399	−	0.670934i	−0.945972	+	0.324250i	$0.894888\pi$
$674$	−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	0.895507	−	0.445047i	$-0.146813\pi$
$677$	−0.709540	−	1.55367i	−0.0272698	−	0.0597126i	−0.922777	+	0.385335i	$0.874086\pi$
$678$	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	0.603392	−	0.797444i	$-0.293815\pi$
$683$	10.3456	+	4.72466i	0.395862	+	0.180784i	−0.207530	+	0.978229i	$0.566543\pi$
$684$	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	$0.219635\pi$
$691$			33.4654i			1.27308i	−0.771243	+	0.636541i	$0.780365\pi$
$692$	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	−0.492647	−	0.870229i	$-0.663971\pi$
$701$	10.3860	−	35.3716i	0.392275	−	1.33597i	0.884923	−	0.465738i	$-0.154211\pi$
$702$	−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	−0.595436	−	0.803402i	$-0.703021\pi$
$709$	−2.98194	+	1.91638i	−0.111989	+	0.0719711i	0.483447	+	0.875373i	$0.339384\pi$
$710$	−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	0.246758	−	0.969077i	$-0.420635\pi$
$719$	−14.2715	−	9.17176i	−0.532239	−	0.342049i	−0.778997	+	0.627028i	$0.784271\pi$
$720$	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	−0.454314	−	0.890842i	$-0.650115\pi$
$727$	−30.7702	−	4.42409i	−1.14120	−	0.164080i	−0.686890	+	0.726762i	$0.741025\pi$
$728$	−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	−0.472925	+	0.881102i	$0.656802\pi$
$733$	−38.2383	+	33.1337i	−1.41236	+	1.22382i	−0.939438	+	0.342718i	$0.888653\pi$
$734$	−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	0.890746	−	0.454502i	$-0.150183\pi$
$739$	8.53877	+	9.85427i	0.314104	+	0.362495i	−0.576642	+	0.816997i	$0.695637\pi$
$740$	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	0.887236	−	0.461315i	$-0.152622\pi$
$743$	30.5185	+	13.9373i	1.11961	+	0.511311i	0.232378	+	0.972626i	$0.425350\pi$
$744$	−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	0.238788	−	0.971072i	$-0.423250\pi$
$751$	31.9533	−	36.8761i	1.16599	−	1.34563i	0.927204	−	0.374556i	$-0.122205\pi$
$752$	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	0.167925	−	0.985800i	$-0.446293\pi$
$757$	23.1708	−	6.80356i	0.842156	−	0.247279i	0.674231	+	0.738520i	$0.264475\pi$
$758$		−	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	−0.325107	−	0.945677i	$-0.605400\pi$
$761$	−2.40920	+	0.707406i	−0.0873336	+	0.0256435i	0.237774	+	0.971321i	$0.423582\pi$
$762$	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	−0.530595	−	0.847625i	$-0.678031\pi$
$769$	−6.58520	+	3.00736i	−0.237468	+	0.108448i	0.293127	+	0.956074i	$0.405304\pi$
$770$	−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	−0.998231	−	0.0594525i	$-0.981065\pi$
$773$	−0.658529	+	4.58017i	−0.0236857	+	0.164737i	0.974545	+	0.224190i	$0.0719736\pi$
$774$	−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	0.492969	−	0.870047i	$-0.335912\pi$
$787$	33.9753	−	4.88492i	1.21109	−	0.174128i	0.718121	+	0.695918i	$0.245002\pi$
$788$	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	0.411150	−	0.911568i	$-0.365127\pi$
$797$	35.4281	−	40.8862i	1.25493	−	1.44826i	0.843776	−	0.536695i	$-0.180327\pi$
$798$	−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	0.999988	−	0.00497078i	$-0.00158225\pi$
$809$	16.4985	+	25.6722i	0.580056	+	0.902585i	−0.419931	+	0.907556i	$0.637946\pi$
$810$	−18.8925	+	7.45429i	−0.663816	+	0.261917i
$811$	4.35681	−	6.77933i	0.152988	−	0.238054i	−0.756296	−	0.654229i	$-0.772993\pi$
$811$	4.35681	−	6.77933i	0.152988	−	0.238054i	0.909285	+	0.416175i	$0.136630\pi$
$812$	−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	0.596535	−	0.802587i	$-0.296544\pi$
$821$	10.9062	+	4.98069i	0.380628	+	0.173827i	−0.215907	+	0.976414i	$0.569271\pi$
$822$	0.0484693	+	0.173476i	0.00169056	+	0.00605068i
$823$	0.250461	+	1.74199i	0.00873050	+	0.0607220i	0.993721	−	0.111887i	$-0.0356894\pi$
$823$	0.250461	+	1.74199i	0.00873050	+	0.0607220i	−0.984990	+	0.172609i	$0.944780\pi$
$824$	−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	$0.0131108\pi$
$827$			2.36831i			0.0823541i	−0.999152	+	0.0411771i	$0.986889\pi$
$828$	−13.9440	+	3.54469i	−0.484588	+	0.123187i
$829$		−	22.6716i		−	0.787419i	−0.919235	−	0.393709i	$-0.871192\pi$
$829$		−	22.6716i		−	0.787419i	0.919235	−	0.393709i	$-0.128808\pi$
$830$	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	−0.469026	−	0.883184i	$-0.655395\pi$
$839$	−38.8451	−	11.4059i	−1.34108	−	0.393777i	−0.872055	+	0.489408i	$0.837213\pi$
$840$	−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	0.829927	+	0.557872i	$0.188382\pi$
$853$	12.6567	+	43.1047i	0.433357	+	1.47588i	−0.396570	+	0.918004i	$0.629800\pi$
$854$	−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	0.458757	−	0.888562i	$-0.348295\pi$
$857$	−4.65269	−	2.99010i	−0.158933	−	0.102140i	−0.617690	+	0.786422i	$0.711931\pi$
$858$	−0.488908	−	1.10891i	−0.0166911	−	0.0378577i
$859$	22.4348	+	19.4398i	0.765465	+	0.663279i	0.947407	−	0.320030i	$-0.103693\pi$
$859$	22.4348	+	19.4398i	0.765465	+	0.663279i	−0.181943	+	0.983309i	$0.558239\pi$
$860$	−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	−0.960066	−	0.279772i	$-0.909741\pi$
$863$	−0.0338135	+	0.115158i	−0.00115102	+	0.00392003i	0.958915	+	0.283692i	$0.0915593\pi$
$864$	−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	0.993480	−	0.114010i	$-0.0363697\pi$
$877$	21.8921	+	25.2648i	0.739243	+	0.853132i	−0.254237	+	0.967142i	$0.581824\pi$
$878$	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	0.105304	+	0.994440i	$0.466419\pi$
$881$	−21.2284	+	46.4837i	−0.715203	+	1.56608i	−0.820507	+	0.571637i	$0.806309\pi$
$882$	19.2508	−	8.39096i	0.648207	−	0.282538i
$883$	1.98708	−	13.8204i	0.0668706	−	0.465095i	−0.928681	−	0.370879i	$-0.879056\pi$
$883$	1.98708	−	13.8204i	0.0668706	−	0.465095i	0.995552	−	0.0942161i	$-0.0300345\pi$
$884$	−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	−0.987129	−	0.159928i	$-0.948874\pi$
$887$	−13.7465	−	30.1006i	−0.461562	−	1.01068i	0.525567	−	0.850753i	$-0.323853\pi$
$888$	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	0.849331	−	0.527860i	$-0.177005\pi$
$907$	−3.18609	−	6.97657i	−0.105792	−	0.231653i	−0.955124	+	0.296207i	$0.904278\pi$
$908$	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	−0.515802	−	0.856708i	$-0.672506\pi$
$911$	−37.7911	−	5.43353i	−1.25207	−	0.180021i	−0.736271	+	0.676687i	$0.763415\pi$
$912$	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	−0.999836	−	0.0181002i	$-0.994238\pi$
$929$	−1.07900	+	7.50464i	−0.0354010	+	0.246219i	0.964435	+	0.264319i	$0.0851473\pi$
$930$	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	−0.888701	−	0.458487i	$-0.848392\pi$
$937$	−3.13656	+	4.88058i	−0.102467	+	0.159442i	0.786234	+	0.617929i	$0.212028\pi$
$938$	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	−0.302150	−	0.953261i	$-0.597704\pi$
$941$	−1.25656	+	0.368958i	−0.0409626	+	0.0120277i	0.261187	+	0.965288i	$0.415886\pi$
$942$	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	0.597239	−	0.802064i	$-0.296265\pi$
$947$	−11.7076	−	18.2174i	−0.380446	−	0.591986i	−0.977685	+	0.210078i	$0.932628\pi$
$948$	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	−0.825018	−	0.565106i	$-0.808835\pi$
$953$	−28.9632	+	13.2271i	−0.938211	+	0.428467i	−0.113193	+	0.993573i	$0.536108\pi$
$954$	−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	0.981403	−	0.191960i	$-0.0614845\pi$
$971$	−0.446467	−	3.10525i	−0.0143278	−	0.0996521i	−0.995730	+	0.0923084i	$0.970575\pi$
$972$	−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	−0.791240	−	0.611505i	$-0.790564\pi$
$977$	6.40763	−	21.8224i	0.204998	−	0.698159i	0.996238	−	0.0866541i	$-0.0276175\pi$
$978$	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	0.321632	−	0.946865i	$-0.395768\pi$
$983$	−12.7310	−	8.18170i	−0.406055	−	0.260956i	−0.727687	+	0.685909i	$0.759405\pi$
$984$	−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	−0.960651	−	0.277758i	$-0.910409\pi$
$991$	−50.9549	+	14.9617i	−1.61863	+	0.475274i	−0.657984	+	0.753032i	$0.728590\pi$
$992$	−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	0.550130	−	0.835079i	$-0.314578\pi$
$997$	−6.25687	−	5.42161i	−0.198157	−	0.171704i	−0.748287	+	0.663375i	$0.769124\pi$
$998$	−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.377.16	yes	640
3.2	odd	2	inner	966.2.t.a.377.34	yes	640
7.6	odd	2	inner	966.2.t.a.377.17	yes	640
21.20	even	2	inner	966.2.t.a.377.63	yes	640
23.18	even	11	inner	966.2.t.a.41.63	yes	640
69.41	odd	22	inner	966.2.t.a.41.17	yes	640
161.41	odd	22	inner	966.2.t.a.41.34	yes	640
483.41	even	22	inner	966.2.t.a.41.16	✓	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.t.a.41.16	✓	640	483.41	even	22	inner
966.2.t.a.41.17	yes	640	69.41	odd	22	inner
966.2.t.a.41.34	yes	640	161.41	odd	22	inner
966.2.t.a.41.63	yes	640	23.18	even	11	inner
966.2.t.a.377.16	yes	640	1.1	even	1	trivial
966.2.t.a.377.17	yes	640	7.6	odd	2	inner
966.2.t.a.377.34	yes	640	3.2	odd	2	inner
966.2.t.a.377.63	yes	640	21.20	even	2	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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