LMFDB - Embedded newform 966.2.s.a.97.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(97,966)]

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([0, 11, 1]))

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

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

chi := DirichletCharacter("966.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.s (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:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			97.13
Character	$\chi$	$=$	966.97
Dual form			966.2.s.a.727.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.0153446 + 0.106724i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(0.137306 + 2.64219i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})$	\(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.0153446 + 0.106724i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(0.137306 + 2.64219i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.0447907 - 0.0980779i) q^{10} +(-0.605838 - 2.06330i) q^{11} +(0.281733 + 0.959493i) q^{12} +(-0.737982 - 0.337025i) q^{13} +(0.612646 - 2.57384i) q^{14} +(-0.0814861 + 0.0706081i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.64382 - 1.69908i) q^{17} +(0.142315 - 0.989821i) q^{18} +(4.49952 + 2.89167i) q^{19} +(-0.0706081 + 0.0814861i) q^{20} +(-1.62650 + 2.08675i) q^{21} +2.15040i q^{22} +(3.88448 + 2.81262i) q^{23} -1.00000i q^{24} +(4.78631 + 1.40539i) q^{25} +(0.613137 + 0.531287i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(-1.31296 + 2.29698i) q^{28} +(-7.56227 + 4.85998i) q^{29} +(0.0980779 - 0.0447907i) q^{30} +(-5.87795 + 5.09327i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.893309 - 1.95607i) q^{33} +(-3.01542 + 0.885406i) q^{34} +(-0.284092 - 0.0258894i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-6.91847 + 0.994726i) q^{37} +(-3.50258 - 4.04219i) q^{38} +(-0.337025 - 0.737982i) q^{39} +(0.0907052 - 0.0582927i) q^{40} +(10.8479 + 1.55970i) q^{41} +(2.14852 - 1.54398i) q^{42} +(3.89938 + 3.37883i) q^{43} +(0.605838 - 2.06330i) q^{44} -0.107822 q^{45} +(-2.93472 - 3.79307i) q^{46} -5.19392i q^{47} +(-0.281733 + 0.959493i) q^{48} +(-6.96229 + 0.725575i) q^{49} +(-4.19649 - 2.69692i) q^{50} +(3.11073 + 0.447255i) q^{51} +(-0.438620 - 0.682506i) q^{52} +(-5.98440 + 2.73298i) q^{53} +(0.755750 - 0.654861i) q^{54} +(0.229500 - 0.0329971i) q^{55} +(1.90691 - 1.83403i) q^{56} +(1.50687 + 5.13193i) q^{57} +(8.62516 - 2.53258i) q^{58} +(1.18795 + 0.542521i) q^{59} +(-0.106724 + 0.0153446i) q^{60} +(0.503527 + 0.581101i) q^{61} +(7.07479 - 3.23095i) q^{62} +(-2.59575 + 0.511931i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(0.0472927 - 0.0735889i) q^{65} +(-1.40821 + 1.62517i) q^{66} +(-3.01781 + 10.2777i) q^{67} +3.14272 q^{68} +(1.09382 + 4.66943i) q^{69} +(0.265290 + 0.104879i) q^{70} +(1.55575 + 0.456809i) q^{71} +(0.654861 - 0.755750i) q^{72} +(-4.28281 + 6.66418i) q^{73} +(6.91847 + 0.994726i) q^{74} +(2.69692 + 4.19649i) q^{75} +(2.22188 + 4.86525i) q^{76} +(5.36843 - 1.88404i) q^{77} +(0.115460 + 0.803039i) q^{78} +(0.0576276 + 0.0263176i) q^{79} +(-0.103454 + 0.0303768i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-9.96911 - 4.55274i) q^{82} +(-0.979751 - 6.81432i) q^{83} +(-2.49648 + 0.876134i) q^{84} +(0.140764 + 0.308231i) q^{85} +(-2.78950 - 4.34055i) q^{86} +(-8.89779 - 1.27931i) q^{87} +(-1.16260 + 1.80903i) q^{88} +(9.03413 - 10.4259i) q^{89} +(0.103454 + 0.0303768i) q^{90} +(0.789153 - 1.99616i) q^{91} +(1.74721 + 4.46623i) q^{92} -7.77764 q^{93} +(-1.46330 + 4.98353i) q^{94} +(-0.377653 + 0.435835i) q^{95} +(0.540641 - 0.841254i) q^{96} +(0.499783 - 3.47606i) q^{97} +(6.88469 + 1.26532i) q^{98} +(1.95607 - 0.893309i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{22}\right)$

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 $

$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$2$	−0.959493	−	0.281733i	−0.678464	−	0.199215i
$3$	0.755750	+	0.654861i	0.436332	+	0.378084i
$3$	0.755750	+	0.654861i	0.436332	+	0.378084i
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	−0.0153446	+	0.106724i	−0.00686231	+	0.0477284i	−0.992965	−	0.118409i	$-0.962221\pi$
$5$	−0.0153446	+	0.106724i	−0.00686231	+	0.0477284i	0.986103	+	0.166138i	$0.0531296\pi$
$6$	−0.540641	−	0.841254i	−0.220716	−	0.343440i
$7$	0.137306	+	2.64219i	0.0518968	+	0.998652i
$7$	0.137306	+	2.64219i	0.0518968	+	0.998652i
$8$	−0.654861	−	0.755750i	−0.231528	−	0.267198i
$9$	0.142315	+	0.989821i	0.0474383	+	0.329940i
$10$	0.0447907	−	0.0980779i	0.0141641	−	0.0310150i
$11$	−0.605838	−	2.06330i	−0.182667	−	0.622107i	−0.999008	−	0.0445363i	$-0.985819\pi$
$11$	−0.605838	−	2.06330i	−0.182667	−	0.622107i	0.816341	−	0.577571i	$-0.195999\pi$
$12$	0.281733	+	0.959493i	0.0813292	+	0.276982i
$13$	−0.737982	−	0.337025i	−0.204679	−	0.0934739i	0.310438	−	0.950594i	$-0.399524\pi$
$13$	−0.737982	−	0.337025i	−0.204679	−	0.0934739i	−0.515117	+	0.857120i	$0.672252\pi$
$14$	0.612646	−	2.57384i	0.163736	−	0.687888i
$15$	−0.0814861	+	0.0706081i	−0.0210396	+	0.0182309i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	2.64382	−	1.69908i	0.641221	−	0.412088i	−0.179228	−	0.983808i	$-0.557360\pi$
$17$	2.64382	−	1.69908i	0.641221	−	0.412088i	0.820449	+	0.571720i	$0.193724\pi$
$18$	0.142315	−	0.989821i	0.0335439	−	0.233303i
$19$	4.49952	+	2.89167i	1.03226	+	0.663393i	0.943061	−	0.332620i	$-0.107933\pi$
$19$	4.49952	+	2.89167i	1.03226	+	0.663393i	0.0891996	+	0.996014i	$0.471569\pi$
$20$	−0.0706081	+	0.0814861i	−0.0157884	+	0.0182208i
$21$	−1.62650	+	2.08675i	−0.354930	+	0.455366i
$22$			2.15040i			0.458467i
$23$	3.88448	+	2.81262i	0.809970	+	0.586472i
$23$	3.88448	+	2.81262i	0.809970	+	0.586472i
$24$		−	1.00000i		−	0.204124i
$25$	4.78631	+	1.40539i	0.957262	+	0.281078i
$26$	0.613137	+	0.531287i	0.120246	+	0.104194i
$27$	−0.540641	+	0.841254i	−0.104046	+	0.161899i
$28$	−1.31296	+	2.29698i	−0.248127	+	0.434089i
$29$	−7.56227	+	4.85998i	−1.40428	+	0.902475i	−0.999926	−	0.0121279i	$-0.996139\pi$
$29$	−7.56227	+	4.85998i	−1.40428	+	0.902475i	−0.404352	+	0.914603i	$0.632503\pi$
$30$	0.0980779	−	0.0447907i	0.0179065	−	0.00817762i
$31$	−5.87795	+	5.09327i	−1.05571	+	0.914778i	−0.996510	−	0.0834678i	$-0.973400\pi$
$31$	−5.87795	+	5.09327i	−1.05571	+	0.914778i	−0.0592000	+	0.998246i	$0.518855\pi$
$32$	−0.142315	−	0.989821i	−0.0251579	−	0.174977i
$33$	0.893309	−	1.95607i	0.155505	−	0.340509i
$34$	−3.01542	+	0.885406i	−0.517140	+	0.151846i
$35$	−0.284092	−	0.0258894i	−0.0480203	−	0.00437612i
$36$	−0.415415	+	0.909632i	−0.0692358	+	0.151605i
$37$	−6.91847	+	0.994726i	−1.13739	+	0.163532i	−0.685176	−	0.728378i	$-0.740275\pi$
$37$	−6.91847	+	0.994726i	−1.13739	+	0.163532i	−0.452214	+	0.891910i	$0.649366\pi$
$38$	−3.50258	−	4.04219i	−0.568194	−	0.655730i
$39$	−0.337025	−	0.737982i	−0.0539672	−	0.118172i
$40$	0.0907052	−	0.0582927i	0.0143418	−	0.00921689i
$41$	10.8479	+	1.55970i	1.69416	+	0.243584i	0.920704	−	0.390260i	$-0.127615\pi$
$41$	10.8479	+	1.55970i	1.69416	+	0.243584i	0.773460	+	0.633845i	$0.218524\pi$
$42$	2.14852	−	1.54398i	0.331523	−	0.238242i
$43$	3.89938	+	3.37883i	0.594650	+	0.515267i	0.899378	−	0.437172i	$-0.144020\pi$
$43$	3.89938	+	3.37883i	0.594650	+	0.515267i	−0.304728	+	0.952440i	$0.598565\pi$
$44$	0.605838	−	2.06330i	0.0913336	−	0.311054i
$45$	−0.107822			−0.0160731
$46$	−2.93472	−	3.79307i	−0.432701	−	0.559258i
$47$		−	5.19392i		−	0.757611i	−0.925476	−	0.378806i	$-0.876335\pi$
$47$		−	5.19392i		−	0.757611i	0.925476	−	0.378806i	$-0.123665\pi$
$48$	−0.281733	+	0.959493i	−0.0406646	+	0.138491i
$49$	−6.96229	+	0.725575i	−0.994613	+	0.103654i
$50$	−4.19649	−	2.69692i	−0.593473	−	0.381402i
$51$	3.11073	+	0.447255i	0.435589	+	0.0626283i
$52$	−0.438620	−	0.682506i	−0.0608257	−	0.0946466i
$53$	−5.98440	+	2.73298i	−0.822020	+	0.375404i	−0.781601	−	0.623779i	$-0.785597\pi$
$53$	−5.98440	+	2.73298i	−0.822020	+	0.375404i	−0.0404192	+	0.999183i	$0.512869\pi$
$54$	0.755750	−	0.654861i	0.102844	−	0.0891153i
$55$	0.229500	−	0.0329971i	0.0309457	−	0.00444932i
$56$	1.90691	−	1.83403i	0.254822	−	0.245083i
$57$	1.50687	+	5.13193i	0.199590	+	0.679741i
$58$	8.62516	−	2.53258i	1.13254	−	0.332544i
$59$	1.18795	+	0.542521i	0.154659	+	0.0706302i	0.491240	−	0.871024i	$-0.336544\pi$
$59$	1.18795	+	0.542521i	0.154659	+	0.0706302i	−0.336582	+	0.941654i	$0.609271\pi$
$60$	−0.106724	+	0.0153446i	−0.0137780	+	0.00198098i
$61$	0.503527	+	0.581101i	0.0644700	+	0.0744024i	0.787068	−	0.616866i	$-0.211598\pi$
$61$	0.503527	+	0.581101i	0.0644700	+	0.0744024i	−0.722598	+	0.691268i	$0.757052\pi$
$62$	7.07479	−	3.23095i	0.898499	−	0.410331i
$63$	−2.59575	+	0.511931i	−0.327034	+	0.0644972i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	0.0472927	−	0.0735889i	0.00586594	−	0.00912758i
$66$	−1.40821	+	1.62517i	−0.173339	+	0.200044i
$67$	−3.01781	+	10.2777i	−0.368684	+	1.25562i	0.541247	+	0.840864i	$0.317952\pi$
$67$	−3.01781	+	10.2777i	−0.368684	+	1.25562i	−0.909931	+	0.414759i	$0.863866\pi$
$68$	3.14272			0.381111
$69$	1.09382	+	4.66943i	0.131680	+	0.562133i
$70$	0.265290	+	0.104879i	0.0317082	+	0.0125354i
$71$	1.55575	+	0.456809i	0.184633	+	0.0542133i	0.372742	−	0.927935i	$-0.378418\pi$
$71$	1.55575	+	0.456809i	0.184633	+	0.0542133i	−0.188109	+	0.982148i	$0.560236\pi$
$72$	0.654861	−	0.755750i	0.0771761	−	0.0890659i
$73$	−4.28281	+	6.66418i	−0.501265	+	0.779983i	−0.996028	−	0.0890447i	$-0.971619\pi$
$73$	−4.28281	+	6.66418i	−0.501265	+	0.779983i	0.494763	+	0.869028i	$0.335255\pi$
$74$	6.91847	+	0.994726i	0.804256	+	0.115635i
$75$	2.69692	+	4.19649i	0.311413	+	0.484569i
$76$	2.22188	+	4.86525i	0.254868	+	0.558082i
$77$	5.36843	−	1.88404i	0.611789	−	0.214706i
$78$	0.115460	+	0.803039i	0.0130732	+	0.0909263i
$79$	0.0576276	+	0.0263176i	0.00648361	+	0.00296096i	0.418654	−	0.908146i	$-0.362502\pi$
$79$	0.0576276	+	0.0263176i	0.00648361	+	0.00296096i	−0.412171	+	0.911107i	$0.635229\pi$
$80$	−0.103454	+	0.0303768i	−0.0115665	+	0.00339623i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	−9.96911	−	4.55274i	−1.10090	−	0.502766i
$83$	−0.979751	−	6.81432i	−0.107542	−	0.747969i	−0.970222	−	0.242219i	$-0.922125\pi$
$83$	−0.979751	−	6.81432i	−0.107542	−	0.747969i	0.862680	−	0.505750i	$-0.168784\pi$
$84$	−2.49648	+	0.876134i	−0.272388	+	0.0955940i
$85$	0.140764	+	0.308231i	0.0152680	+	0.0334324i
$86$	−2.78950	−	4.34055i	−0.300800	−	0.468054i
$87$	−8.89779	−	1.27931i	−0.953944	−	0.137156i
$88$	−1.16260	+	1.80903i	−0.123933	+	0.192844i
$89$	9.03413	−	10.4259i	0.957616	−	1.10515i	−0.0367687	−	0.999324i	$-0.511706\pi$
$89$	9.03413	−	10.4259i	0.957616	−	1.10515i	0.994385	−	0.105824i	$-0.0337481\pi$
$90$	0.103454	+	0.0303768i	0.0109050	+	0.00320200i
$91$	0.789153	−	1.99616i	0.0827258	−	0.209254i
$92$	1.74721	+	4.46623i	0.182160	+	0.465637i
$93$	−7.77764			−0.806504
$94$	−1.46330	+	4.98353i	−0.150928	+	0.514012i
$95$	−0.377653	+	0.435835i	−0.0387464	+	0.0447158i
$96$	0.540641	−	0.841254i	0.0551789	−	0.0858601i
$97$	0.499783	−	3.47606i	0.0507452	−	0.352941i	−0.948591	−	0.316505i	$-0.897491\pi$
$97$	0.499783	−	3.47606i	0.0507452	−	0.352941i	0.999336	−	0.0364356i	$-0.0116004\pi$
$98$	6.88469	+	1.26532i	0.695459	+	0.127817i
$99$	1.95607	−	0.893309i	0.196593	−	0.0897810i
$100$	3.26669	+	3.76996i	0.326669	+	0.376996i
$101$	−7.95327	+	1.14351i	−0.791380	+	0.113783i	−0.526139	−	0.850399i	$-0.676361\pi$
$101$	−7.95327	+	1.14351i	−0.791380	+	0.113783i	−0.265242	+	0.964182i	$0.585452\pi$
$102$	−2.85872	−	1.30553i	−0.283055	−	0.129267i
$103$	16.7913	−	4.93038i	1.65450	−	0.485804i	0.684519	−	0.728995i	$-0.260012\pi$
$103$	16.7913	−	4.93038i	1.65450	−	0.485804i	0.969979	+	0.243191i	$0.0781941\pi$
$104$	0.228569	+	0.778434i	0.0224130	+	0.0763317i
$105$	−0.197748	−	0.205606i	−0.0192982	−	0.0200651i
$106$	6.51196	−	0.936278i	0.632497	−	0.0909394i
$107$	−8.08932	+	7.00944i	−0.782024	+	0.677628i	−0.951412	−	0.307922i	$-0.900367\pi$
$107$	−8.08932	+	7.00944i	−0.782024	+	0.677628i	0.169387	+	0.985550i	$0.445821\pi$
$108$	−0.909632	+	0.415415i	−0.0875294	+	0.0399733i
$109$	4.40545	+	6.85501i	0.421965	+	0.656591i	0.985534	−	0.169478i	$-0.0542083\pi$
$109$	4.40545	+	6.85501i	0.421965	+	0.656591i	−0.563569	+	0.826069i	$0.690572\pi$
$110$	−0.229500	−	0.0329971i	−0.0218819	−	0.00314615i
$111$	−5.88004	−	3.77887i	−0.558109	−	0.358675i
$112$	−2.34638	+	1.22250i	−0.221712	+	0.115516i
$113$	−4.80510	+	16.3647i	−0.452026	+	1.53946i	0.346825	+	0.937930i	$0.387260\pi$
$113$	−4.80510	+	16.3647i	−0.452026	+	1.53946i	−0.798851	+	0.601529i	$0.794559\pi$
$114$		−	5.34859i		−	0.500941i
$115$	−0.359780	+	0.371409i	−0.0335496	+	0.0346340i
$116$	−8.98929			−0.834635
$117$	0.228569	−	0.778434i	0.0211312	−	0.0719662i
$118$	−0.986988	−	0.855230i	−0.0908597	−	0.0787303i
$119$	4.85230	+	6.75218i	0.444810	+	0.618971i
$120$	0.106724	+	0.0153446i	0.00974253	+	0.00140076i
$121$	5.36364	−	3.44700i	0.487604	−	0.313364i
$122$	−0.319416	−	0.699422i	−0.0289185	−	0.0633227i
$123$	7.17695	+	8.28264i	0.647123	+	0.746820i
$124$	−7.69847	+	1.10687i	−0.691343	+	0.0994002i
$125$	−0.447386	+	0.979639i	−0.0400154	+	0.0876215i
$126$	2.63483	+	0.240114i	0.234730	+	0.0213911i
$127$	−5.81926	+	1.70869i	−0.516376	+	0.151622i	−0.529529	−	0.848292i	$-0.677631\pi$
$127$	−5.81926	+	1.70869i	−0.516376	+	0.151622i	0.0131530	+	0.999913i	$0.495813\pi$
$128$	0.415415	−	0.909632i	0.0367178	−	0.0804009i
$129$	0.734291	+	5.10711i	0.0646507	+	0.449656i
$130$	−0.0661094	+	0.0572841i	−0.00579818	+	0.00502415i
$131$	19.2294	−	8.78179i	1.68008	−	0.767269i	0.680687	−	0.732575i	$-0.261682\pi$
$131$	19.2294	−	8.78179i	1.68008	−	0.767269i	0.999398	−	0.0346943i	$-0.0110458\pi$
$132$	1.80903	−	1.16260i	0.157456	−	0.101191i
$133$	−7.02251	+	12.2856i	−0.608929	+	1.06530i
$134$	5.79113	−	9.01118i	0.500278	−	0.778447i
$135$	−0.0814861	−	0.0706081i	−0.00701320	−	0.00607698i
$136$	−3.01542	−	0.885406i	−0.258570	−	0.0759229i
$137$		−	7.58310i		−	0.647868i	−0.946080	−	0.323934i	$-0.894994\pi$
$137$		−	7.58310i		−	0.647868i	0.946080	−	0.323934i	$-0.105006\pi$
$138$	0.266018	−	4.78845i	0.0226450	−	0.407620i
$139$			14.8628i			1.26065i	0.776332	+	0.630324i	$0.217078\pi$
$139$			14.8628i			1.26065i	−0.776332	+	0.630324i	$0.782922\pi$
$140$	−0.224996	−	0.175371i	−0.0190157	−	0.0148216i
$141$	3.40129	−	3.92530i	0.286441	−	0.330570i
$142$	−1.36403	−	0.876610i	−0.114467	−	0.0735635i
$143$	−0.248285	+	1.72686i	−0.0207626	+	0.144407i
$144$	−0.841254	+	0.540641i	−0.0701045	+	0.0450534i
$145$	−0.402636	−	0.881651i	−0.0334371	−	0.0732171i
$146$	5.98684	−	5.18763i	0.495475	−	0.429331i
$147$	−5.73690	−	4.01098i	−0.473172	−	0.330820i
$148$	−6.35798	−	2.90359i	−0.522623	−	0.238674i
$149$	−3.30828	−	11.2670i	−0.271025	−	0.923026i	−0.976721	−	0.214512i	$-0.931184\pi$
$149$	−3.30828	−	11.2670i	−0.271025	−	0.923026i	0.705696	−	0.708514i	$-0.250634\pi$
$150$	−1.40539	−	4.78631i	−0.114749	−	0.390801i
$151$	9.86178	−	21.5943i	0.802540	−	1.75732i	0.165921	−	0.986139i	$-0.446940\pi$
$151$	9.86178	−	21.5943i	0.802540	−	1.75732i	0.636619	−	0.771179i	$-0.280333\pi$
$152$	−0.761183	−	5.29415i	−0.0617401	−	0.429412i
$153$	2.05804	+	2.37511i	0.166383	+	0.192016i
$154$	−5.68176	+	0.295263i	−0.457849	+	0.0237930i
$155$	−0.453380	−	0.705472i	−0.0364163	−	0.0566649i
$156$	0.115460	−	0.803039i	0.00924417	−	0.0642946i
$157$	4.58505	+	2.94663i	0.365927	+	0.235167i	0.710663	−	0.703533i	$-0.248395\pi$
$157$	4.58505	+	2.94663i	0.365927	+	0.235167i	−0.344736	+	0.938700i	$0.612032\pi$
$158$	−0.0478787	−	0.0414871i	−0.00380903	−	0.00330054i
$159$	−6.31243	−	1.85350i	−0.500608	−	0.146992i
$160$	0.107822			0.00852404
$161$	−6.89810	+	10.6497i	−0.543646	+	0.839314i
$162$	1.00000			0.0785674
$163$	16.4357	+	4.82595i	1.28734	+	0.377997i	0.852603	−	0.522560i	$-0.175023\pi$
$163$	16.4357	+	4.82595i	1.28734	+	0.377997i	0.434738	+	0.900557i	$0.356841\pi$
$164$	8.28264	+	7.17695i	0.646765	+	0.560425i
$165$	0.195053	+	0.125353i	0.0151848	+	0.00975870i
$166$	−0.979751	+	6.81432i	−0.0760434	+	0.528894i
$167$	−0.139867	−	0.217637i	−0.0108232	−	0.0168412i	0.835800	−	0.549034i	$-0.185004\pi$
$167$	−0.139867	−	0.217637i	−0.0108232	−	0.0168412i	−0.846623	+	0.532193i	$0.821368\pi$
$168$	2.64219	−	0.137306i	0.203849	−	0.0105934i
$169$	−8.08216	−	9.32731i	−0.621704	−	0.717485i
$170$	−0.0482238	−	0.335404i	−0.00369859	−	0.0257243i
$171$	−2.22188	+	4.86525i	−0.169912	+	0.372055i
$172$	1.45363	+	4.95062i	0.110839	+	0.377481i
$173$	0.576865	+	1.96462i	0.0438582	+	0.149367i	0.978511	−	0.206194i	$-0.0661079\pi$
$173$	0.576865	+	1.96462i	0.0438582	+	0.149367i	−0.934653	+	0.355561i	$0.884290\pi$
$174$	8.17695	+	3.73429i	0.619893	+	0.283096i
$175$	−3.05611	+	12.8393i	−0.231020	+	0.970559i
$176$	1.62517	−	1.40821i	0.122501	−	0.106148i
$177$	0.542521	+	1.18795i	0.0407784	+	0.0892921i
$178$	−11.6055	+	7.45841i	−0.869870	+	0.559032i
$179$	2.15848	−	15.0125i	0.161332	−	1.12209i	−0.734794	−	0.678291i	$-0.762721\pi$
$179$	2.15848	−	15.0125i	0.161332	−	1.12209i	0.896126	−	0.443800i	$-0.146370\pi$
$180$	−0.0907052	−	0.0582927i	−0.00676077	−	0.00434488i
$181$	8.65526	−	9.98870i	0.643340	−	0.742454i	−0.336621	−	0.941640i	$-0.609284\pi$
$181$	8.65526	−	9.98870i	0.643340	−	0.742454i	0.979962	+	0.199186i	$0.0638297\pi$
$182$	−1.31957	+	1.69297i	−0.0978131	+	0.125491i
$183$			0.768907i			0.0568392i
$184$	−0.418157	−	4.77757i	−0.0308269	−	0.352207i
$185$		−	0.753631i		−	0.0554080i
$186$	7.46259	+	2.19121i	0.547184	+	0.160668i
$187$	−5.10744	−	4.42562i	−0.373493	−	0.323633i
$188$	2.80805	−	4.36940i	0.204798	−	0.318672i
$189$	−2.29698	−	1.31296i	−0.167081	−	0.0955041i
$190$	0.485145	−	0.311784i	0.0351961	−	0.0226192i
$191$	14.8833	−	6.79698i	1.07692	−	0.491812i	0.203646	−	0.979045i	$-0.434721\pi$
$191$	14.8833	−	6.79698i	1.07692	−	0.491812i	0.873272	+	0.487232i	$0.161994\pi$
$192$	−0.755750	+	0.654861i	−0.0545415	+	0.0472605i
$193$	−1.59730	−	11.1095i	−0.114976	−	0.799677i	−0.962958	−	0.269652i	$-0.913091\pi$
$193$	−1.59730	−	11.1095i	−0.114976	−	0.799677i	0.847982	−	0.530026i	$-0.177818\pi$
$194$	−1.45886	+	3.19445i	−0.104740	+	0.229348i
$195$	0.0839319	−	0.0246446i	0.00601049	−	0.00176484i
$196$	−6.24933	−	3.15371i	−0.446381	−	0.225265i
$197$	3.82658	−	8.37904i	0.272632	−	0.596982i	−0.722947	−	0.690903i	$-0.757213\pi$
$197$	3.82658	−	8.37904i	0.272632	−	0.596982i	0.995580	+	0.0939216i	$0.0299403\pi$
$198$	−2.12851	+	0.306034i	−0.151267	+	0.0217489i
$199$	−9.77155	−	11.2770i	−0.692687	−	0.799403i	0.295058	−	0.955479i	$-0.404661\pi$
$199$	−9.77155	−	11.2770i	−0.692687	−	0.799403i	−0.987745	+	0.156076i	$0.950116\pi$
$200$	−2.07225	−	4.53759i	−0.146530	−	0.320856i
$201$	−9.01118	+	5.79113i	−0.635600	+	0.408475i
$202$	7.95327	+	1.14351i	0.559590	+	0.0804570i
$203$	−13.8793	−	19.3136i	−0.974137	−	1.35555i
$204$	2.37511	+	2.05804i	0.166291	+	0.144092i
$205$	−0.332915	+	1.13380i	−0.0232518	+	0.0791883i
$206$	−17.5002			−1.21930
$207$	−2.23117	+	4.24522i	−0.155077	+	0.295063i
$208$		−	0.811297i		−	0.0562533i
$209$	3.24038	−	11.0357i	0.224142	−	0.763357i
$210$	0.131812	+	0.252990i	0.00909589	+	0.0174580i
$211$	−7.49440	−	4.81636i	−0.515935	−	0.331572i	0.256627	−	0.966511i	$-0.417389\pi$
$211$	−7.49440	−	4.81636i	−0.515935	−	0.331572i	−0.772562	+	0.634939i	$0.781025\pi$
$212$	−6.51196	−	0.936278i	−0.447243	−	0.0643038i
$213$	0.876610	+	1.36403i	0.0600643	+	0.0934619i
$214$	9.73644	−	4.44648i	0.665569	−	0.303955i
$215$	−0.420437	+	0.364311i	−0.0286736	+	0.0248458i
$216$	0.989821	−	0.142315i	0.0673488	−	0.00968330i
$217$	−14.2644	−	14.8313i	−0.968334	−	1.00681i
$218$	−2.29572	−	7.81849i	−0.155486	−	0.529535i
$219$	−7.60084	+	2.23181i	−0.513617	+	0.150812i
$220$	0.210907	+	0.0963180i	0.0142193	+	0.00649376i
$221$	−2.52373	+	0.362857i	−0.169764	+	0.0244084i
$222$	4.57723	+	5.28240i	0.307203	+	0.354531i
$223$	13.8136	−	6.30845i	0.925025	−	0.422445i	0.104805	−	0.994493i	$-0.466578\pi$
$223$	13.8136	−	6.30845i	0.925025	−	0.422445i	0.820220	+	0.572048i	$0.193851\pi$
$224$	2.59575	−	0.511931i	0.173436	−	0.0342048i
$225$	−0.709920	+	4.93760i	−0.0473280	+	0.329173i
$226$	9.22092	−	14.3480i	0.613366	−	0.954417i
$227$	−15.2776	+	17.6313i	−1.01401	+	1.17023i	−0.0286799	+	0.999589i	$0.509130\pi$
$227$	−15.2776	+	17.6313i	−1.01401	+	1.17023i	−0.985333	+	0.170644i	$0.945415\pi$
$228$	−1.50687	+	5.13193i	−0.0997950	+	0.339871i
$229$	21.5926			1.42688			0.713438	−	0.700718i	$-0.247137\pi$
$229$	21.5926			1.42688			0.713438	+	0.700718i	$0.247137\pi$
$230$	0.449844	−	0.255002i	0.0296618	−	0.0168144i
$231$	5.29097	+	2.09171i	0.348120	+	0.137624i
$232$	8.62516	+	2.53258i	0.566270	+	0.166272i
$233$	4.86906	−	5.61920i	0.318983	−	0.368126i	−0.573501	−	0.819205i	$-0.694415\pi$
$233$	4.86906	−	5.61920i	0.318983	−	0.368126i	0.892484	+	0.451079i	$0.148961\pi$
$234$	−0.438620	+	0.682506i	−0.0286735	+	0.0446168i
$235$	0.554316	+	0.0796986i	0.0361596	+	0.00519897i
$236$	0.706062	+	1.09865i	0.0459607	+	0.0715163i
$237$	0.0263176	+	0.0576276i	0.00170951	+	0.00374331i
$238$	−2.75344	−	7.84572i	−0.178479	−	0.508562i
$239$	−4.20074	−	29.2168i	−0.271723	−	1.88988i	−0.430542	−	0.902570i	$-0.641678\pi$
$239$	−4.20074	−	29.2168i	−0.271723	−	1.88988i	0.158819	−	0.987308i	$-0.449231\pi$
$240$	−0.0980779	−	0.0447907i	−0.00633090	−	0.00289123i
$241$	−24.8655	+	7.30117i	−1.60173	+	0.470310i	−0.956026	−	0.293281i	$-0.905253\pi$
$241$	−24.8655	+	7.30117i	−1.60173	+	0.470310i	−0.645701	+	0.763590i	$0.723435\pi$
$242$	−6.11751	+	1.79626i	−0.393248	+	0.115468i
$243$	−0.909632	−	0.415415i	−0.0583529	−	0.0266489i
$244$	0.109427	+	0.761081i	0.00700534	+	0.0487232i
$245$	0.0293973	−	0.754178i	0.00187812	−	0.0481827i
$246$	−4.55274	−	9.96911i	−0.290272	−	0.635607i
$247$	−2.34600	−	3.65045i	−0.149272	−	0.232272i
$248$	7.69847	+	1.10687i	0.488854	+	0.0702865i
$249$	3.72198	−	5.79152i	0.235871	−	0.367023i
$250$	0.705260	−	0.813913i	0.0446045	−	0.0514764i
$251$	7.59691	+	2.23066i	0.479513	+	0.140798i	0.512552	−	0.858656i	$-0.328700\pi$
$251$	7.59691	+	2.23066i	0.479513	+	0.140798i	−0.0330387	+	0.999454i	$0.510518\pi$
$252$	−2.46046	−	0.972706i	−0.154994	−	0.0612747i
$253$	3.44990	−	9.71882i	0.216893	−	0.611017i
$254$	6.06494			0.380548
$255$	−0.0954658	+	0.325127i	−0.00597830	+	0.0203602i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−7.26871	+	11.3103i	−0.453409	+	0.705519i	−0.990425	−	0.138054i	$-0.955915\pi$
$257$	−7.26871	+	11.3103i	−0.453409	+	0.705519i	0.537015	+	0.843572i	$0.319552\pi$
$258$	0.734291	−	5.10711i	0.0457150	−	0.317954i
$259$	−3.57820	−	18.1433i	−0.222338	−	1.12737i
$260$	0.0795703	−	0.0363385i	0.00493474	−	0.00225362i
$261$	−5.88673	−	6.79365i	−0.364380	−	0.420517i
$262$	−20.9246	+	3.00851i	−1.29273	+	0.185866i
$263$	−23.4923	−	10.7286i	−1.44860	−	0.661553i	−0.472989	−	0.881068i	$-0.656825\pi$
$263$	−23.4923	−	10.7286i	−1.44860	−	0.661553i	−0.975609	+	0.219515i	$0.929552\pi$
$264$	−2.06330	+	0.605838i	−0.126987	+	0.0372868i
$265$	−0.199847	−	0.680616i	−0.0122765	−	0.0418099i
$266$	10.1993	−	9.80949i	0.625359	−	0.601458i
$267$	13.6551	−	1.96330i	0.835678	−	0.120152i
$268$	−8.09529	+	7.01461i	−0.494499	+	0.428486i
$269$	−13.1209	+	5.99212i	−0.799996	+	0.365346i	−0.773093	−	0.634292i	$-0.781292\pi$
$269$	−13.1209	+	5.99212i	−0.799996	+	0.365346i	−0.0269025	+	0.999638i	$0.508564\pi$
$270$	0.0582927	+	0.0907052i	0.00354758	+	0.00552014i
$271$	1.90790	+	0.274314i	0.115897	+	0.0166634i	0.200019	−	0.979792i	$-0.435900\pi$
$271$	1.90790	+	0.274314i	0.115897	+	0.0166634i	−0.0841225	+	0.996455i	$0.526809\pi$
$272$	2.64382	+	1.69908i	0.160305	+	0.103022i
$273$	1.90361	−	0.991812i	0.115212	−	0.0600272i
$274$	−2.13641	+	7.27594i	−0.129065	+	0.439555i
$275$		−	10.7270i		−	0.646863i
$276$	−1.60430	+	4.51954i	−0.0965678	+	0.272044i
$277$	−3.74743			−0.225161			−0.112580	−	0.993643i	$-0.535912\pi$
$277$	−3.74743			−0.225161			−0.112580	+	0.993643i	$0.535912\pi$
$278$	4.18734	−	14.2608i	0.251140	−	0.855305i
$279$	−5.87795	−	5.09327i	−0.351903	−	0.304926i
$280$	0.166475	+	0.231656i	0.00994876	+	0.0138441i
$281$	−13.4540	−	1.93439i	−0.802597	−	0.115396i	−0.271204	−	0.962522i	$-0.587422\pi$
$281$	−13.4540	−	1.93439i	−0.802597	−	0.115396i	−0.531392	+	0.847126i	$0.678331\pi$
$282$	−4.36940	+	2.80805i	−0.260194	+	0.167217i
$283$	−3.26978	−	7.15982i	−0.194368	−	0.425607i	0.787206	−	0.616691i	$-0.211527\pi$
$283$	−3.26978	−	7.15982i	−0.194368	−	0.425607i	−0.981574	+	0.191084i	$0.938800\pi$
$284$	1.06181	+	1.22539i	0.0630068	+	0.0727137i
$285$	−0.570823	+	0.0820719i	−0.0338126	+	0.00486152i
$286$	0.724739	−	1.58696i	0.0428547	−	0.0938388i
$287$	−2.63153	+	28.8765i	−0.155334	+	1.70452i
$288$	0.959493	−	0.281733i	0.0565387	−	0.0166013i
$289$	−2.95913	+	6.47960i	−0.174067	+	0.381153i
$290$	0.137937	+	0.959374i	0.00809994	+	0.0563364i
$291$	2.65405	−	2.29975i	0.155583	−	0.134813i
$292$	−7.20586	+	3.29080i	−0.421691	+	0.192580i
$293$	−4.03640	+	2.59403i	−0.235809	+	0.151545i	−0.653209	−	0.757178i	$-0.726578\pi$
$293$	−4.03640	+	2.59403i	−0.235809	+	0.151545i	0.417400	+	0.908723i	$0.362941\pi$
$294$	4.37449	+	5.46478i	0.255126	+	0.318712i
$295$	−0.0761287	+	0.118459i	−0.00443238	+	0.00689692i
$296$	5.28240	+	4.57723i	0.307033	+	0.266046i
$297$	2.06330	+	0.605838i	0.119725	+	0.0351543i
$298$			11.7426i			0.680232i
$299$	−1.91875	−	3.38483i	−0.110964	−	0.195750i
$300$			4.98837i			0.288004i
$301$	−8.39210	+	10.7668i	−0.483713	+	0.620590i
$302$	−15.5461	+	17.9412i	−0.894579	+	1.03240i
$303$	−6.75952	−	4.34408i	−0.388324	−	0.249561i
$304$	−0.761183	+	5.29415i	−0.0436569	+	0.303640i
$305$	−0.0697439	+	0.0448217i	−0.00399352	+	0.00256648i
$306$	−1.30553	−	2.85872i	−0.0746323	−	0.163422i
$307$	22.3146	−	19.3357i	1.27356	−	1.10355i	0.284092	−	0.958797i	$-0.408308\pi$
$307$	22.3146	−	19.3357i	1.27356	−	1.10355i	0.989468	−	0.144749i	$-0.0462376\pi$
$308$	5.53480	+	1.31743i	0.315374	+	0.0750678i
$309$	15.9187	+	7.26984i	0.905585	+	0.413567i
$310$	0.236260	+	0.804628i	0.0134187	+	0.0456998i
$311$	−5.89455	−	20.0750i	−0.334249	−	1.13835i	−0.939567	−	0.342364i	$-0.888772\pi$
$311$	−5.89455	−	20.0750i	−0.334249	−	1.13835i	0.605318	−	0.795984i	$-0.293046\pi$
$312$	−0.337025	+	0.737982i	−0.0190803	+	0.0417800i
$313$	−1.61685	−	11.2454i	−0.0913898	−	0.635630i	−0.983106	−	0.183035i	$-0.941408\pi$
$313$	−1.61685	−	11.2454i	−0.0913898	−	0.635630i	0.891717	−	0.452594i	$-0.149501\pi$
$314$	−3.56916	−	4.11903i	−0.201419	−	0.232450i
$315$	−0.0148045	−	0.284884i	−0.000834141	−	0.0160514i
$316$	0.0342510	+	0.0532956i	0.00192677	+	0.00299811i
$317$	−4.03774	+	28.0831i	−0.226782	+	1.57730i	0.484753	+	0.874651i	$0.338910\pi$
$317$	−4.03774	+	28.0831i	−0.226782	+	1.57730i	−0.711535	+	0.702651i	$0.751999\pi$
$318$	5.53454	+	3.55683i	0.310362	+	0.199457i
$319$	14.6091	+	12.6588i	0.817952	+	0.708759i
$320$	−0.103454	−	0.0303768i	−0.00578325	−	0.00169812i
$321$	−10.7037			−0.597423
$322$	9.61905	−	8.27490i	0.536049	−	0.461142i
$323$	16.8091			0.935284
$324$	−0.959493	−	0.281733i	−0.0533052	−	0.0156518i
$325$	−3.05856	−	2.65026i	−0.169658	−	0.147010i
$326$	−14.4103	−	9.26092i	−0.798111	−	0.512915i
$327$	−1.15966	+	8.06563i	−0.0641294	+	0.446030i
$328$	−5.92515	−	9.21972i	−0.327162	−	0.509074i
$329$	13.7233	−	0.713156i	0.756590	−	0.0393176i
$330$	−0.151836	−	0.175228i	−0.00835828	−	0.00964597i
$331$	−4.41912	−	30.7356i	−0.242897	−	1.68938i	−0.637435	−	0.770504i	$-0.720004\pi$
$331$	−4.41912	−	30.7356i	−0.242897	−	1.68938i	0.394538	−	0.918880i	$-0.370905\pi$
$332$	2.85988	−	6.26226i	0.156956	−	0.343686i
$333$	−1.96920	−	6.70649i	−0.107912	−	0.367513i
$334$	0.0728857	+	0.248226i	0.00398813	+	0.0135823i
$335$	−1.05057	−	0.479780i	−0.0573989	−	0.0262132i
$336$	−2.57384	−	0.612646i	−0.140415	−	0.0334226i
$337$	2.74700	−	2.38029i	0.149639	−	0.129663i	−0.576824	−	0.816868i	$-0.695708\pi$
$337$	2.74700	−	2.38029i	0.149639	−	0.129663i	0.726463	+	0.687205i	$0.241163\pi$
$338$	5.12697	+	11.2265i	0.278870	+	0.610641i
$339$	−14.3480	+	9.22092i	−0.779278	+	0.500812i
$340$	−0.0482238	+	0.335404i	−0.00261530	+	0.0181898i
$341$	14.0700	+	9.04224i	0.761934	+	0.489665i
$342$	3.50258	−	4.04219i	0.189398	−	0.218577i
$343$	−2.87307	−	18.2961i	−0.155131	−	0.987894i
$344$		−	5.15962i		−	0.278188i
$345$	−0.515124	+	0.0450863i	−0.0277334	+	0.00242737i
$346$		−	2.04756i		−	0.110078i
$347$	19.5569	+	5.74243i	1.04987	+	0.308270i	0.760765	−	0.649028i	$-0.224824\pi$
$347$	19.5569	+	5.74243i	1.04987	+	0.308270i	0.289105	+	0.957297i	$0.406642\pi$
$348$	−6.79365	−	5.88673i	−0.364178	−	0.315562i
$349$	0.314465	−	0.489316i	0.0168329	−	0.0261925i	−0.832735	−	0.553672i	$-0.813226\pi$
$349$	0.314465	−	0.489316i	0.0168329	−	0.0261925i	0.849568	+	0.527479i	$0.176863\pi$
$350$	6.54956	−	11.4582i	0.350089	−	0.612467i
$351$	0.682506	−	0.438620i	0.0364295	−	0.0234118i
$352$	−1.95607	+	0.893309i	−0.104259	+	0.0476135i
$353$	2.44400	−	2.11774i	0.130081	−	0.112716i	−0.587391	−	0.809304i	$-0.699845\pi$
$353$	2.44400	−	2.11774i	0.130081	−	0.112716i	0.717472	+	0.696588i	$0.245299\pi$
$354$	−0.185859	−	1.29268i	−0.00987831	−	0.0687052i
$355$	−0.0726248	+	0.159026i	−0.00385453	+	0.00844023i
$356$	13.2367	−	3.88664i	0.701543	−	0.205992i
$357$	−0.754610	+	8.28054i	−0.0399382	+	0.438253i
$358$	−6.30057	+	13.7963i	−0.332995	+	0.729158i
$359$	−11.3770	+	1.63577i	−0.600458	+	0.0863328i	−0.435839	−	0.900025i	$-0.643548\pi$
$359$	−11.3770	+	1.63577i	−0.600458	+	0.0863328i	−0.164618	+	0.986357i	$0.552639\pi$
$360$	0.0706081	+	0.0814861i	0.00372137	+	0.00429469i
$361$	3.99106	+	8.73920i	0.210056	+	0.459958i
$362$	−11.1188	+	7.14562i	−0.584391	+	0.375566i
$363$	6.31087	+	0.907367i	0.331235	+	0.0476244i
$364$	1.74308	−	1.25263i	0.0913624	−	0.0656556i
$365$	−0.645510	−	0.559338i	−0.0337876	−	0.0292771i
$366$	0.216626	−	0.737761i	0.0113232	−	0.0385634i
$367$	26.9709			1.40787			0.703934	−	0.710266i	$-0.251425\pi$
$367$	26.9709			1.40787			0.703934	+	0.710266i	$0.251425\pi$
$368$	−0.944777	+	4.70185i	−0.0492499	+	0.245101i
$369$			10.9595i			0.570529i
$370$	−0.212322	+	0.723104i	−0.0110381	+	0.0375924i
$371$	−8.04274	−	15.4366i	−0.417558	−	0.801430i
$372$	−6.54297	−	4.20491i	−0.339237	−	0.218014i
$373$	−9.85540	−	1.41699i	−0.510293	−	0.0733691i	−0.117641	−	0.993056i	$-0.537533\pi$
$373$	−9.85540	−	1.41699i	−0.510293	−	0.0733691i	−0.392652	+	0.919687i	$0.628442\pi$
$374$	3.65371	+	5.68528i	0.188929	+	0.293979i
$375$	−0.979639	+	0.447386i	−0.0505883	+	0.0231029i
$376$	−3.92530	+	3.40129i	−0.202432	+	0.175408i
$377$	7.21875	−	1.03790i	0.371785	−	0.0534546i
$378$	1.83403	+	1.90691i	0.0943325	+	0.0980811i
$379$	−2.11854	−	7.21507i	−0.108822	−	0.370613i	0.887018	−	0.461735i	$-0.152773\pi$
$379$	−2.11854	−	7.21507i	−0.108822	−	0.370613i	−0.995840	+	0.0911219i	$0.970955\pi$
$380$	−0.553333	+	0.162473i	−0.0283854	+	0.00833470i
$381$	−5.51686	−	2.51947i	−0.282637	−	0.129076i
$382$	−16.1954	+	2.32854i	−0.828627	+	0.119139i
$383$	9.88685	+	11.4100i	0.505194	+	0.583025i	0.949862	−	0.312670i	$-0.101224\pi$
$383$	9.88685	+	11.4100i	0.505194	+	0.583025i	−0.444667	+	0.895696i	$0.646678\pi$
$384$	0.909632	−	0.415415i	0.0464195	−	0.0211991i
$385$	0.118696	+	0.601850i	0.00604931	+	0.0306731i
$386$	−1.59730	+	11.1095i	−0.0813005	+	0.565457i
$387$	−2.78950	+	4.34055i	−0.141798	+	0.220643i
$388$	2.29975	−	2.65405i	0.116752	−	0.134739i
$389$	−5.96465	+	20.3137i	−0.302420	+	1.02995i	0.658376	+	0.752689i	$0.271244\pi$
$389$	−5.96465	+	20.3137i	−0.302420	+	1.02995i	−0.960796	+	0.277258i	$0.910574\pi$
$390$	−0.0874753			−0.00442948
$391$	15.0487	+	0.836019i	0.761048	+	0.0422793i
$392$	5.10769	+	4.78660i	0.257977	+	0.241760i
$393$	20.2835	+	5.95577i	1.02317	+	0.300429i
$394$	−6.03222	+	6.96156i	−0.303899	+	0.350718i
$395$	−0.00369300	+	0.00574641i	−0.000185815	+	0.000289133i
$396$	2.12851	+	0.306034i	0.106962	+	0.0153788i
$397$	4.23088	+	6.58338i	0.212342	+	0.330410i	0.931043	−	0.364908i	$-0.118900\pi$
$397$	4.23088	+	6.58338i	0.212342	+	0.330410i	−0.718702	+	0.695319i	$0.755263\pi$
$398$	6.19865	+	13.5731i	0.310710	+	0.680360i
$399$	−13.3526	+	4.68608i	−0.668467	+	0.234597i
$400$	0.709920	+	4.93760i	0.0354960	+	0.246880i
$401$	20.7444	+	9.47366i	1.03593	+	0.473092i	0.859454	−	0.511213i	$-0.170804\pi$
$401$	20.7444	+	9.47366i	1.03593	+	0.473092i	0.176473	+	0.984305i	$0.443531\pi$
$402$	10.2777	−	3.01781i	0.512606	−	0.150515i
$403$	6.05438	−	1.77773i	0.301590	−	0.0885548i
$404$	−7.30895	−	3.33788i	−0.363634	−	0.166066i
$405$	−0.0153446	−	0.106724i	−0.000762479	−	0.00530316i
$406$	7.87582	+	22.4415i	0.390871	+	1.11376i
$407$	6.24389	+	13.6722i	0.309498	+	0.677706i
$408$	−1.69908	−	2.64382i	−0.0841171	−	0.130889i
$409$	29.3492	+	4.21977i	1.45122	+	0.208654i	0.822407	−	0.568900i	$-0.192631\pi$
$409$	29.3492	+	4.21977i	1.45122	+	0.208654i	0.628816	+	0.777554i	$0.283540\pi$
$410$	0.638859	−	0.994084i	0.0315510	−	0.0490943i
$411$	4.96588	−	5.73093i	0.244949	−	0.282686i
$412$	16.7913	+	4.93038i	0.827249	+	0.242902i
$413$	−1.27033	+	3.21329i	−0.0625087	+	0.158116i
$414$	3.33681	−	3.44466i	0.163995	−	0.169296i
$415$	0.742286			0.0364374
$416$	−0.228569	+	0.778434i	−0.0112065	+	0.0381659i
$417$	−9.73309	+	11.2326i	−0.476631	+	0.550062i
$418$	−6.21824	+	9.67577i	−0.304144	+	0.473258i
$419$	−3.39690	+	23.6260i	−0.165950	+	1.15420i	0.721201	+	0.692726i	$0.243590\pi$
$419$	−3.39690	+	23.6260i	−0.165950	+	1.15420i	−0.887151	+	0.461479i	$0.847319\pi$
$420$	−0.0551971	−	0.279878i	−0.00269334	−	0.0136566i
$421$	−30.0395	+	13.7186i	−1.46404	+	0.668603i	−0.978619	−	0.205680i	$-0.934059\pi$
$421$	−30.0395	+	13.7186i	−1.46404	+	0.668603i	−0.485417	+	0.874283i	$0.661332\pi$
$422$	5.83390	+	6.73267i	0.283990	+	0.327741i
$423$	5.14105	−	0.739172i	0.249967	−	0.0359398i
$424$	5.98440	+	2.73298i	0.290628	+	0.132725i
$425$	15.0420	−	4.41674i	0.729645	−	0.214243i
$426$	−0.456809	−	1.55575i	−0.0221325	−	0.0753763i
$427$	−1.46624	+	1.41020i	−0.0709563	+	0.0682444i
$428$	−10.5948	+	1.52330i	−0.512117	+	0.0736313i
$429$	−1.31849	+	1.14248i	−0.0636574	+	0.0551594i
$430$	0.506045	−	0.231103i	0.0244037	−	0.0111448i
$431$	−4.35676	−	6.77924i	−0.209858	−	0.326545i	0.720329	−	0.693633i	$-0.243991\pi$
$431$	−4.35676	−	6.77924i	−0.209858	−	0.326545i	−0.930186	+	0.367088i	$0.880355\pi$
$432$	−0.989821	−	0.142315i	−0.0476228	−	0.00684713i
$433$	−18.5693	−	11.9337i	−0.892381	−	0.573499i	0.0121403	−	0.999926i	$-0.496136\pi$
$433$	−18.5693	−	11.9337i	−0.892381	−	0.573499i	−0.904522	+	0.426428i	$0.859772\pi$
$434$	9.50818	+	18.2493i	0.456407	+	0.875993i
$435$	0.273066	−	0.929978i	0.0130925	−	0.0445890i
$436$			8.14857i			0.390246i
$437$	9.34513	+	23.8880i	0.447038	+	1.14272i
$438$	7.92173			0.378515
$439$	−1.12955	+	3.84689i	−0.0539104	+	0.183602i	−0.982046	−	0.188639i	$-0.939592\pi$
$439$	−1.12955	+	3.84689i	−0.0539104	+	0.183602i	0.928136	+	0.372241i	$0.121411\pi$
$440$	−0.175228	−	0.151836i	−0.00835366	−	0.00723848i
$441$	−1.70903	−	6.78817i	−0.0813823	−	0.323246i
$442$	2.52373	+	0.362857i	0.120041	+	0.0172593i
$443$	−5.57411	+	3.58226i	−0.264834	+	0.170198i	−0.666318	−	0.745668i	$-0.732131\pi$
$443$	−5.57411	+	3.58226i	−0.264834	+	0.170198i	0.401484	+	0.915866i	$0.368494\pi$
$444$	−2.90359	−	6.35798i	−0.137798	−	0.301736i
$445$	0.974074	+	1.12414i	0.0461755	+	0.0532894i
$446$	−15.0313	+	2.16118i	−0.711753	+	0.102335i
$447$	4.87806	−	10.6815i	0.230725	−	0.505216i
$448$	−2.63483	−	0.240114i	−0.124484	−	0.0113443i
$449$	1.07869	−	0.316733i	0.0509066	−	0.0149475i	−0.256180	−	0.966629i	$-0.582464\pi$
$449$	1.07869	−	0.316733i	0.0509066	−	0.0149475i	0.307087	+	0.951682i	$0.400646\pi$
$450$	2.07225	−	4.53759i	0.0976866	−	0.213904i
$451$	−3.35398	−	23.3275i	−0.157933	−	1.09845i
$452$	−12.8897	+	11.1690i	−0.606281	+	0.525346i
$453$	21.5943	−	9.86178i	1.01459	−	0.463347i
$454$	19.6261	−	12.6129i	0.921099	−	0.591954i
$455$	0.200929	+	0.114852i	0.00941970	+	0.00538434i
$456$	2.89167	−	4.49952i	0.135415	−	0.210709i
$457$	27.1983	+	23.5675i	1.27228	+	1.10244i	0.989694	+	0.143198i	$0.0457387\pi$
$457$	27.1983	+	23.5675i	1.27228	+	1.10244i	0.282589	+	0.959241i	$0.408807\pi$
$458$	−20.7179	−	6.08333i	−0.968084	−	0.284255i
$459$			3.14272i			0.146690i
$460$	−0.503465	+	0.117937i	−0.0234742	+	0.00549885i
$461$		−	34.0796i		−	1.58724i	−0.608411	−	0.793622i	$-0.708193\pi$
$461$		−	34.0796i		−	1.58724i	0.608411	−	0.793622i	$-0.291807\pi$
$462$	−4.48735	−	3.49762i	−0.208770	−	0.162724i
$463$	25.9692	−	29.9701i	1.20689	−	1.39283i	0.309905	−	0.950768i	$-0.399703\pi$
$463$	25.9692	−	29.9701i	1.20689	−	1.39283i	0.896986	−	0.442059i	$-0.145752\pi$
$464$	−7.56227	−	4.85998i	−0.351070	−	0.225619i
$465$	0.119345	−	0.830061i	0.00553448	−	0.0384932i
$466$	−6.25494	+	4.01981i	−0.289754	+	0.186214i
$467$	4.32963	+	9.48056i	0.200351	+	0.438708i	0.982963	−	0.183802i	$-0.0588404\pi$
$467$	4.32963	+	9.48056i	0.200351	+	0.438708i	−0.782612	+	0.622510i	$0.786113\pi$
$468$	0.613137	−	0.531287i	0.0283423	−	0.0245587i
$469$	−27.5700	−	6.56242i	−1.27306	−	0.303025i
$470$	−0.509409	−	0.232639i	−0.0234973	−	0.0107308i
$471$	1.53552	+	5.22949i	0.0707528	+	0.240962i
$472$	−0.367935	−	1.25307i	−0.0169356	−	0.0576773i
$473$	4.60914	−	10.0926i	0.211928	−	0.464059i
$474$	−0.00901602	−	0.0627078i	−0.000414119	−	0.00288026i
$475$	17.4722	+	20.1640i	0.801679	+	0.925187i
$476$	0.431514	+	8.30365i	0.0197784	+	0.380597i
$477$	−3.55683	−	5.53454i	−0.162856	−	0.253409i
$478$	−4.20074	+	29.2168i	−0.192137	+	1.33635i
$479$	−24.2858	−	15.6075i	−1.10965	−	0.713126i	−0.148430	−	0.988923i	$-0.547422\pi$
$479$	−24.2858	−	15.6075i	−1.10965	−	0.713126i	−0.961216	+	0.275797i	$0.911058\pi$
$480$	0.0814861	+	0.0706081i	0.00371931	+	0.00322280i
$481$	5.44095	+	1.59761i	0.248086	+	0.0728447i
$482$	25.9152			1.18041
$483$	−12.1873	+	3.53121i	−0.554542	+	0.160676i
$484$	6.37577			0.289808
$485$	0.363311	+	0.106678i	0.0164971	+	0.00484398i
$486$	0.755750	+	0.654861i	0.0342815	+	0.0297051i
$487$	13.1390	+	8.44395i	0.595387	+	0.382632i	0.803352	−	0.595504i	$-0.203048\pi$
$487$	13.1390	+	8.44395i	0.595387	+	0.382632i	−0.207965	+	0.978136i	$0.566684\pi$
$488$	0.109427	−	0.761081i	0.00495352	−	0.0344525i
$489$	9.26092	+	14.4103i	0.418793	+	0.651655i
$490$	−0.240683	+	0.715346i	−0.0108729	+	0.0323160i
$491$	11.0553	+	12.7585i	0.498918	+	0.575782i	0.948226	−	0.317595i	$-0.102875\pi$
$491$	11.0553	+	12.7585i	0.498918	+	0.575782i	−0.449309	+	0.893376i	$0.648330\pi$
$492$	1.55970	+	10.8479i	0.0703167	+	0.489063i
$493$	−11.7358	+	25.6978i	−0.528554	+	1.15737i
$494$	1.22252	+	4.16352i	0.0550038	+	0.187326i
$495$	0.0653224	+	0.222468i	0.00293602	+	0.00999918i
$496$	−7.07479	−	3.23095i	−0.317667	−	0.145074i
$497$	−0.993361	+	4.17330i	−0.0445583	+	0.187198i
$498$	−5.20288	+	4.50832i	−0.233146	+	0.202023i
$499$	−2.62586	−	5.74984i	−0.117550	−	0.257398i	0.841707	−	0.539935i	$-0.181551\pi$
$499$	−2.62586	−	5.74984i	−0.117550	−	0.257398i	−0.959256	+	0.282537i	$0.908824\pi$
$500$	−0.905998	+	0.582249i	−0.0405175	+	0.0260390i
$501$	0.0368176	−	0.256072i	0.00164489	−	0.0114405i
$502$	−6.66074	−	4.28060i	−0.297283	−	0.191052i
$503$	−3.46540	+	3.99928i	−0.154514	+	0.178319i	−0.827729	−	0.561128i	$-0.810368\pi$
$503$	−3.46540	+	3.99928i	−0.154514	+	0.178319i	0.673215	+	0.739447i	$0.264913\pi$
$504$	2.08675	+	1.62650i	0.0929511	+	0.0724498i
$505$		−	0.866352i		−	0.0385522i
$506$	−6.04826	+	8.35319i	−0.268878	+	0.371345i
$507$		−	12.3418i		−	0.548118i
$508$	−5.81926	−	1.70869i	−0.258188	−	0.0758108i
$509$	15.1555	+	13.1323i	0.671755	+	0.582079i	0.922511	−	0.385971i	$-0.126134\pi$
$509$	15.1555	+	13.1323i	0.671755	+	0.582079i	−0.250756	+	0.968050i	$0.580679\pi$
$510$	0.183198	−	0.285061i	0.00811212	−	0.0126227i
$511$	−18.1961	−	10.4009i	−0.804946	−	0.460111i
$512$	0.841254	−	0.540641i	0.0371785	−	0.0238932i
$513$	−4.86525	+	2.22188i	−0.214806	+	0.0980986i
$514$	10.1608	−	8.80435i	0.448172	−	0.388343i
$515$	0.268534	+	1.86769i	0.0118330	+	0.0823003i
$516$	−2.14338	+	4.69336i	−0.0943573	+	0.206614i
$517$	−10.7166	+	3.14668i	−0.471315	+	0.138391i
$518$	−1.67830	+	18.4165i	−0.0737405	+	0.809173i
$519$	−0.850587	+	1.86253i	−0.0373366	+	0.0817559i
$520$	−0.0865849	+	0.0124490i	−0.00379700	+	0.000545926i
$521$	5.04471	+	5.82190i	0.221013	+	0.255062i	0.855418	−	0.517938i	$-0.173300\pi$
$521$	5.04471	+	5.82190i	0.221013	+	0.255062i	−0.634405	+	0.773001i	$0.718755\pi$
$522$	3.73429	+	8.17695i	0.163445	+	0.357895i
$523$	14.1051	−	9.06479i	0.616772	−	0.396376i	−0.194619	−	0.980879i	$-0.562347\pi$
$523$	14.1051	−	9.06479i	0.616772	−	0.396376i	0.811391	+	0.584503i	$0.198711\pi$
$524$	20.9246	+	3.00851i	0.914097	+	0.131427i
$525$	−10.7176	+	7.70196i	−0.467754	+	0.336141i
$526$	19.5181	+	16.9126i	0.851031	+	0.737422i
$527$	−6.88637	+	23.4528i	−0.299975	+	1.02162i
$528$	2.15040			0.0935842
$529$	7.17835	+	21.8511i	0.312102	+	0.950049i
$530$			0.709349i			0.0308122i
$531$	−0.367935	+	1.25307i	−0.0159670	+	0.0543787i
$532$	−12.5498	+	6.53866i	−0.544103	+	0.283487i
$533$	−7.47993	−	4.80706i	−0.323992	−	0.208217i
$534$	−13.6551	−	1.96330i	−0.590913	−	0.0849605i
$535$	−0.623948	−	0.970882i	−0.0269756	−	0.0419749i
$536$	9.74362	−	4.44976i	0.420860	−	0.192201i
$537$	11.4624	−	9.93222i	0.494639	−	0.428607i
$538$	14.2776	−	2.05281i	0.615551	−	0.0885029i
$539$	5.71510	+	13.9257i	0.246167	+	0.599822i
$540$	−0.0303768	−	0.103454i	−0.00130721	−	0.00445195i
$541$	−25.1273	+	7.37805i	−1.08031	+	0.317207i	−0.773002	−	0.634404i	$-0.781246\pi$
$541$	−25.1273	+	7.37805i	−1.08031	+	0.317207i	−0.307306	+	0.951611i	$0.599428\pi$
$542$	−1.75333	−	0.800719i	−0.0753120	−	0.0343938i
$543$	13.0824	−	1.88097i	0.561420	−	0.0807201i
$544$	−2.05804	−	2.37511i	−0.0882379	−	0.101832i
$545$	−0.799194	+	0.364980i	−0.0342337	+	0.0156340i
$546$	−2.10593	+	0.415328i	−0.0901253	+	0.0177744i
$547$	−2.34122	+	16.2836i	−0.100104	+	0.696235i	0.876534	+	0.481340i	$0.159850\pi$
$547$	−2.34122	+	16.2836i	−0.100104	+	0.696235i	−0.976637	+	0.214895i	$0.931059\pi$
$548$	4.09974	−	6.37931i	0.175132	−	0.272511i
$549$	−0.503527	+	0.581101i	−0.0214900	+	0.0248008i
$550$	−3.02215	+	10.2925i	−0.128865	+	0.438873i
$551$	−48.0800			−2.04828
$552$	2.81262	−	3.88448i	0.119713	−	0.165334i
$553$	−0.0616235	+	0.155876i	−0.00262050	+	0.00662854i
$554$	3.59563	+	1.05577i	0.152764	+	0.0448554i
$555$	0.493523	−	0.569556i	0.0209489	−	0.0241763i
$556$	−8.03545	+	12.5034i	−0.340779	+	0.530263i
$557$	−39.1447	−	5.62815i	−1.65861	−	0.238472i	−0.751613	−	0.659604i	$-0.770724\pi$
$557$	−39.1447	−	5.62815i	−1.65861	−	0.238472i	−0.906999	+	0.421132i	$0.861633\pi$
$558$	4.20491	+	6.54297i	0.178008	+	0.276986i
$559$	−1.73892	−	3.80771i	−0.0735485	−	0.161049i
$560$	−0.0944661	−	0.269174i	−0.00399192	−	0.0113747i
$561$	−0.961779	−	6.68932i	−0.0406063	−	0.282423i
$562$	12.3640	+	5.64646i	0.521544	+	0.238181i
$563$	−15.9998	+	4.69798i	−0.674313	+	0.197996i	−0.600923	−	0.799307i	$-0.705200\pi$
$563$	−15.9998	+	4.69798i	−0.674313	+	0.197996i	−0.0733904	+	0.997303i	$0.523382\pi$
$564$	4.98353	−	1.46330i	0.209844	−	0.0616159i
$565$	−1.67277	−	0.763929i	−0.0703740	−	0.0321387i
$566$	1.12018	+	7.79100i	0.0470845	+	0.327480i
$567$	−0.876134	−	2.49648i	−0.0367942	−	0.104842i
$568$	−0.673565	−	1.47490i	−0.0282622	−	0.0618855i
$569$	10.3660	+	16.1298i	0.434564	+	0.676194i	0.987605	−	0.156959i	$-0.0501692\pi$
$569$	10.3660	+	16.1298i	0.434564	+	0.676194i	−0.553041	+	0.833154i	$0.686533\pi$
$570$	0.570823	+	0.0820719i	0.0239091	+	0.00343762i
$571$	16.3778	−	25.4843i	0.685388	−	1.06648i	−0.307968	−	0.951397i	$-0.599649\pi$
$571$	16.3778	−	25.4843i	0.685388	−	1.06648i	0.993355	−	0.115087i	$-0.0367148\pi$
$572$	−1.14248	+	1.31849i	−0.0477695	+	0.0551289i
$573$	15.6991	+	4.60968i	0.655840	+	0.192572i
$574$	10.6604	−	26.9654i	0.444955	−	1.12551i
$575$	14.6395	+	18.9213i	0.610509	+	0.789071i
$576$	−1.00000			−0.0416667
$577$	6.38690	−	21.7518i	0.265890	−	0.905538i	−0.713002	−	0.701162i	$-0.752665\pi$
$577$	6.38690	−	21.7518i	0.265890	−	0.905538i	0.978892	−	0.204376i	$-0.0655166\pi$
$578$	4.66478	−	5.38345i	0.194029	−	0.223922i
$579$	6.06800	−	9.44199i	0.252177	−	0.392396i
$580$	0.137937	−	0.959374i	0.00572753	−	0.0398358i
$581$	17.8702	−	3.52433i	0.741380	−	0.146214i
$582$	−3.19445	+	1.45886i	−0.132414	+	0.0604716i
$583$	9.26453	+	10.6918i	0.383698	+	0.442811i
$584$	7.84110	−	1.12738i	0.324467	−	0.0466513i
$585$	0.0795703	+	0.0363385i	0.00328983	+	0.00150241i
$586$	4.60372	−	1.35177i	0.190178	−	0.0558412i
$587$	−1.79348	−	6.10803i	−0.0740248	−	0.252105i	0.914165	−	0.405343i	$-0.132848\pi$
$587$	−1.79348	−	6.10803i	−0.0740248	−	0.252105i	−0.988189	+	0.153238i	$0.951030\pi$
$588$	−2.65769	−	6.47585i	−0.109601	−	0.267060i
$589$	−41.1760	+	5.92021i	−1.69663	+	0.243938i
$590$	0.106419	−	0.0922122i	0.00438118	−	0.00379632i
$591$	8.37904	−	3.82658i	0.344668	−	0.157404i
$592$	−3.77887	−	5.88004i	−0.155311	−	0.241668i
$593$	−30.3802	−	4.36801i	−1.24756	−	0.179373i	−0.513284	−	0.858219i	$-0.671571\pi$
$593$	−30.3802	−	4.36801i	−1.24756	−	0.179373i	−0.734280	+	0.678846i	$0.762480\pi$
$594$	−1.80903	−	1.16260i	−0.0742255	−	0.0477019i
$595$	−0.795076	+	0.414248i	−0.0325950	+	0.0169825i
$596$	3.30828	−	11.2670i	0.135512	−	0.461513i
$597$		−	14.9216i		−	0.610699i
$598$	0.887412	+	3.78829i	0.0362890	+	0.154915i
$599$	−23.5652			−0.962850			−0.481425	−	0.876487i	$-0.659881\pi$
$599$	−23.5652			−0.962850			−0.481425	+	0.876487i	$0.659881\pi$
$600$	1.40539	−	4.78631i	0.0573747	−	0.195400i
$601$	−23.8568	−	20.6720i	−0.973138	−	0.843229i	0.0145134	−	0.999895i	$-0.495380\pi$
$601$	−23.8568	−	20.6720i	−0.973138	−	0.843229i	−0.987652	+	0.156666i	$0.949926\pi$
$602$	11.0855	−	7.96637i	0.451812	−	0.324685i
$603$	−10.6026	−	1.52442i	−0.431770	−	0.0620792i
$604$	19.9710	−	12.8346i	0.812609	−	0.522232i
$605$	0.285575	+	0.625322i	0.0116103	+	0.0254230i
$606$	5.26185	+	6.07249i	0.213748	+	0.246678i
$607$	26.8665	−	3.86282i	1.09048	−	0.156787i	0.426463	−	0.904505i	$-0.359760\pi$
$607$	26.8665	−	3.86282i	1.09048	−	0.156787i	0.664016	+	0.747718i	$0.268851\pi$
$608$	2.22188	−	4.86525i	0.0901093	−	0.197312i
$609$	2.15845	−	23.6853i	0.0874650	−	0.959776i
$610$	0.0795465	−	0.0233570i	0.00322074	−	0.000945696i
$611$	−1.75048	+	3.83302i	−0.0708169	+	0.155067i
$612$	0.447255	+	3.11073i	0.0180792	+	0.125744i
$613$	−10.1961	+	8.83498i	−0.411817	+	0.356842i	−0.835995	−	0.548737i	$-0.815109\pi$
$613$	−10.1961	+	8.83498i	−0.411817	+	0.356842i	0.424178	+	0.905579i	$0.360563\pi$
$614$	−26.8582	+	12.2657i	−1.08391	+	0.495004i
$615$	−0.994084	+	0.638859i	−0.0400853	+	0.0257613i
$616$	−4.93943	−	2.82340i	−0.199015	−	0.113758i
$617$	−4.44720	+	6.91997i	−0.179037	+	0.278588i	−0.919160	−	0.393884i	$-0.871131\pi$
$617$	−4.44720	+	6.91997i	−0.179037	+	0.278588i	0.740123	+	0.672472i	$0.234767\pi$
$618$	−13.2258	−	11.4602i	−0.532018	−	0.460997i
$619$	42.7430	+	12.5505i	1.71799	+	0.504446i	0.984519	−	0.175279i	$-0.0560829\pi$
$619$	42.7430	+	12.5505i	1.71799	+	0.504446i	0.733467	+	0.679725i	$0.237901\pi$
$620$		−	0.838597i		−	0.0336789i
$621$	−4.46623	+	1.74721i	−0.179224	+	0.0701133i
$622$			20.9225i			0.838915i
$623$	28.7877	+	22.4383i	1.15336	+	0.898972i
$624$	0.531287	−	0.613137i	0.0212685	−	0.0245451i
$625$	20.8848	+	13.4218i	0.835390	+	0.536873i
$626$	−1.61685	+	11.2454i	−0.0646223	+	0.449458i
$627$	9.67577	−	6.21824i	0.386413	−	0.248333i
$628$	2.26412	+	4.95773i	0.0903482	+	0.197835i
$629$	−16.6011	+	14.3849i	−0.661929	+	0.573565i
$630$	−0.0660564	+	0.277516i	−0.00263175	+	0.0110565i
$631$	−9.90074	−	4.52152i	−0.394142	−	0.179999i	0.208477	−	0.978027i	$-0.433149\pi$
$631$	−9.90074	−	4.52152i	−0.394142	−	0.179999i	−0.602620	+	0.798028i	$0.705876\pi$
$632$	−0.0178485	−	0.0607864i	−0.000709975	−	0.00241795i
$633$	−2.50984	−	8.54774i	−0.0997573	−	0.339742i
$634$	11.7861	−	25.8079i	0.468086	−	1.02496i
$635$	−0.0930640	−	0.647274i	−0.00369313	−	0.0256863i
$636$	−4.30828	−	4.97202i	−0.170834	−	0.197153i
$637$	5.38258	+	1.81101i	0.213266	+	0.0717546i
$638$	−10.4509	−	16.2619i	−0.413755	−	0.643816i
$639$	−0.230753	+	1.60492i	−0.00912846	+	0.0634898i
$640$	0.0907052	+	0.0582927i	0.00358544	+	0.00230422i
$641$	8.83005	+	7.65129i	0.348766	+	0.302208i	0.811572	−	0.584252i	$-0.198612\pi$
$641$	8.83005	+	7.65129i	0.348766	+	0.302208i	−0.462806	+	0.886459i	$0.653157\pi$
$642$	10.2701	+	3.01558i	0.405330	+	0.119016i
$643$	13.5990			0.536291			0.268146	−	0.963378i	$-0.413589\pi$
$643$	13.5990			0.536291			0.268146	+	0.963378i	$0.413589\pi$
$644$	−11.5607	+	5.22971i	−0.455556	+	0.206079i
$645$	−0.556318			−0.0219050
$646$	−16.1282	−	4.73567i	−0.634556	−	0.186323i
$647$	8.83349	+	7.65427i	0.347280	+	0.300920i	0.810982	−	0.585071i	$-0.198933\pi$
$647$	8.83349	+	7.65427i	0.347280	+	0.300920i	−0.463701	+	0.885992i	$0.653479\pi$
$648$	0.841254	+	0.540641i	0.0330476	+	0.0212384i
$649$	0.399672	−	2.77978i	0.0156885	−	0.109116i
$650$	2.18800	+	3.40460i	0.0858205	+	0.133539i
$651$	−1.06792	−	20.5500i	−0.0418549	−	0.805417i
$652$	11.2175	+	12.9456i	0.439309	+	0.506990i
$653$	−3.80423	−	26.4590i	−0.148871	−	1.03542i	−0.918072	−	0.396414i	$-0.870255\pi$
$653$	−3.80423	−	26.4590i	−0.148871	−	1.03542i	0.769201	−	0.639007i	$-0.220655\pi$
$654$	3.38504	−	7.41220i	0.132365	−	0.289840i
$655$	0.642160	+	2.18700i	0.0250913	+	0.0854531i
$656$	3.08765	+	10.5156i	0.120552	+	0.410564i
$657$	−7.20586	−	3.29080i	−0.281127	−	0.128387i
$658$	−13.3683	−	3.18203i	−0.521152	−	0.124049i
$659$	7.97209	−	6.90786i	0.310549	−	0.269092i	−0.485616	−	0.874172i	$-0.661405\pi$
$659$	7.97209	−	6.90786i	0.310549	−	0.269092i	0.796164	+	0.605080i	$0.206859\pi$
$660$	0.0963180	+	0.210907i	0.00374917	+	0.00820954i
$661$	12.2940	−	7.90088i	0.478182	−	0.307309i	−0.279255	−	0.960217i	$-0.590088\pi$
$661$	12.2940	−	7.90088i	0.478182	−	0.307309i	0.757437	+	0.652908i	$0.226451\pi$
$662$	−4.41912	+	30.7356i	−0.171754	+	1.19457i
$663$	−2.14493	−	1.37846i	−0.0833020	−	0.0535349i
$664$	−4.50832	+	5.20288i	−0.174957	+	0.201911i
$665$	−1.20341	−	0.937988i	−0.0466663	−	0.0363736i
$666$			6.98962i			0.270842i
$667$	−43.0448	−	2.39131i	−1.66670	−	0.0925920i
$668$		−	0.258705i		−	0.0100096i
$669$	14.5708	+	4.27836i	0.563338	+	0.165411i
$670$	0.872847	+	0.756326i	0.0337210	+	0.0292194i
$671$	0.893928	−	1.39098i	0.0345097	−	0.0536981i
$672$	2.29698	+	1.31296i	0.0886080	+	0.0506487i
$673$	−13.1440	+	8.44714i	−0.506664	+	0.325613i	−0.768877	−	0.639397i	$-0.779184\pi$
$673$	−13.1440	+	8.44714i	−0.506664	+	0.325613i	0.262213	+	0.965010i	$0.415548\pi$
$674$	−3.30634	+	1.50995i	−0.127355	+	0.0581612i
$675$	−3.76996	+	3.26669i	−0.145106	+	0.125735i
$676$	−1.75642	−	12.2162i	−0.0675546	−	0.469853i
$677$	−3.48703	+	7.63552i	−0.134017	+	0.293457i	−0.964729	−	0.263247i	$-0.915207\pi$
$677$	−3.48703	+	7.63552i	−0.134017	+	0.293457i	0.830711	+	0.556703i	$0.187934\pi$
$678$	16.3647	−	4.80510i	0.628481	−	0.184539i
$679$	9.25303	+	0.843234i	0.355099	+	0.0323604i
$680$	0.140764	−	0.308231i	0.00539807	−	0.0118201i
$681$	−23.0921	+	3.32015i	−0.884893	+	0.127228i
$682$	−10.9526	−	12.6399i	−0.419396	−	0.484009i
$683$	−17.1995	−	37.6616i	−0.658120	−	1.44108i	−0.884263	−	0.466989i	$-0.845339\pi$
$683$	−17.1995	−	37.6616i	−0.658120	−	1.44108i	0.226143	−	0.974094i	$-0.427388\pi$
$684$	−4.49952	+	2.89167i	−0.172043	+	0.110566i
$685$	0.809300	+	0.116360i	0.0309217	+	0.00444588i
$686$	−2.39790	+	18.3644i	−0.0915524	+	0.701155i
$687$	16.3186	+	14.1401i	0.622592	+	0.539479i
$688$	−1.45363	+	4.95062i	−0.0554193	+	0.188741i
$689$	5.33746			0.203341
$690$	0.506961	+	0.101867i	0.0192997	+	0.00387802i
$691$		−	33.0727i		−	1.25814i	−0.777347	−	0.629072i	$-0.783435\pi$
$691$		−	33.0727i		−	1.25814i	0.777347	−	0.629072i	$-0.216565\pi$
$692$	−0.576865	+	1.96462i	−0.0219291	+	0.0746837i
$693$	2.62887	+	5.04566i	0.0998625	+	0.191669i
$694$	−17.1469	−	11.0196i	−0.650887	−	0.418300i
$695$	−1.58622	−	0.228064i	−0.0601688	−	0.00865097i
$696$	4.85998	+	7.56227i	0.184217	+	0.286647i
$697$	31.3301	−	14.3080i	1.18671	−	0.541953i
$698$	−0.439583	+	0.380901i	−0.0166385	+	0.0144173i
$699$	7.35958	−	1.05815i	0.278365	−	0.0400228i
$700$	−9.51240	+	9.14884i	−0.359535	+	0.345794i
$701$	−4.01840	−	13.6854i	−0.151773	−	0.516891i	0.848144	−	0.529766i	$-0.177720\pi$
$701$	−4.01840	−	13.6854i	−0.151773	−	0.516891i	−0.999917	+	0.0128741i	$0.995902\pi$
$702$	−0.778434	+	0.228569i	−0.0293801	+	0.00862677i
$703$	−34.0062	−	15.5301i	−1.28257	−	0.585729i
$704$	2.12851	−	0.306034i	0.0802214	−	0.0115341i
$705$	0.366733	+	0.423232i	0.0138120	+	0.0159398i
$706$	−2.94164	+	1.34340i	−0.110710	+	0.0505596i
$707$	−4.11339	−	20.8570i	−0.154700	−	0.784409i
$708$	−0.185859	+	1.29268i	−0.00698502	+	0.0485819i
$709$	21.3356	−	33.1989i	0.801277	−	1.24681i	−0.164227	−	0.986423i	$-0.552513\pi$
$709$	21.3356	−	33.1989i	0.801277	−	1.24681i	0.965504	−	0.260389i	$-0.0838507\pi$
$710$	0.114486	−	0.132124i	0.00429658	−	0.00495852i
$711$	−0.0178485	+	0.0607864i	−0.000669371	+	0.00227967i
$712$	−13.7955			−0.517008
$713$	−37.1582	+	3.25227i	−1.39159	+	0.121799i
$714$	3.05694	−	7.73252i	0.114403	−	0.289382i
$715$	−0.180487	−	0.0529959i	−0.00674984	−	0.00198193i
$716$	9.93222	−	11.4624i	0.371185	−	0.428370i
$717$	15.9582	−	24.8315i	0.595971	−	0.927349i
$718$	11.3770	+	1.63577i	0.424588	+	0.0610465i
$719$	8.37449	+	13.0310i	0.312316	+	0.485973i	0.961555	−	0.274611i	$-0.0885491\pi$
$719$	8.37449	+	13.0310i	0.312316	+	0.485973i	−0.649239	+	0.760584i	$0.724913\pi$
$720$	−0.0447907	−	0.0980779i	−0.00166925	−	0.00365515i
$721$	15.3325	+	43.6888i	0.571013	+	1.62706i
$722$	−1.36728	−	9.50961i	−0.0508847	−	0.353911i
$723$	−23.5733	−	10.7656i	−0.876702	−	0.400376i
$724$	12.6816	−	3.72364i	0.471307	−	0.138388i
$725$	−43.0255	+	12.6334i	−1.59793	+	0.469194i
$726$	−5.79961	−	2.64859i	−0.215244	−	0.0982984i
$727$	3.73587	+	25.9836i	0.138556	+	0.963677i	0.933904	+	0.357524i	$0.116379\pi$
$727$	3.73587	+	25.9836i	0.138556	+	0.963677i	−0.795348	+	0.606153i	$0.792712\pi$
$728$	−2.02538	+	0.710805i	−0.0750657	+	0.0263442i
$729$	−0.415415	−	0.909632i	−0.0153857	−	0.0336901i
$730$	0.461779	+	0.718542i	0.0170912	+	0.0265944i
$731$	16.0502	+	2.30767i	0.593638	+	0.0853522i
$732$	−0.415703	+	0.646846i	−0.0153648	+	0.0239081i
$733$	−2.95699	+	3.41255i	−0.109219	+	0.126045i	−0.807727	−	0.589557i	$-0.799302\pi$
$733$	−2.95699	+	3.41255i	−0.109219	+	0.126045i	0.698508	+	0.715602i	$0.253848\pi$
$734$	−25.8783	−	7.59857i	−0.955187	−	0.280468i
$735$	0.516098	−	0.550718i	0.0190366	−	0.0203136i
$736$	2.23117	−	4.24522i	0.0822421	−	0.156481i
$737$	23.0343			0.848478
$738$	3.08765	−	10.5156i	0.113658	−	0.387083i
$739$	−10.3796	+	11.9788i	−0.381822	+	0.440646i	−0.913832	−	0.406092i	$-0.866891\pi$
$739$	−10.3796	+	11.9788i	−0.381822	+	0.440646i	0.532011	+	0.846738i	$0.321437\pi$
$740$	0.407444	−	0.633995i	0.0149779	−	0.0233061i
$741$	0.617546	−	4.29513i	0.0226861	−	0.157785i
$742$	3.36795	+	17.0772i	0.123641	+	0.626925i
$743$	38.2330	−	17.4604i	1.40263	−	0.640561i	0.436760	−	0.899578i	$-0.356126\pi$
$743$	38.2330	−	17.4604i	1.40263	−	0.640561i	0.965873	+	0.259017i	$0.0833987\pi$
$744$	5.09327	+	5.87795i	0.186728	+	0.215496i
$745$	1.25322	−	0.180186i	0.0459145	−	0.00660150i
$746$	9.05698	+	4.13618i	0.331600	+	0.151436i
$747$	6.60553	−	1.93956i	0.241684	−	0.0709647i
$748$	−1.90398	−	6.48436i	−0.0696164	−	0.237092i
$749$	−19.6310	−	20.4111i	−0.717299	−	0.745804i
$750$	1.06600	−	0.153268i	0.0389248	−	0.00559654i
$751$	17.5282	−	15.1883i	0.639613	−	0.554228i	−0.273532	−	0.961863i	$-0.588192\pi$
$751$	17.5282	−	15.1883i	0.639613	−	0.554228i	0.913145	+	0.407635i	$0.133646\pi$
$752$	4.72456	−	2.15763i	0.172287	−	0.0786808i
$753$	4.28060	+	6.66074i	0.155994	+	0.242731i
$754$	−7.21875	−	1.03790i	−0.262891	−	0.0377981i
$755$	2.15330	+	1.38384i	0.0783668	+	0.0503633i
$756$	−1.22250	−	2.34638i	−0.0444620	−	0.0853369i
$757$	−7.54179	+	25.6850i	−0.274111	+	0.933536i	0.701249	+	0.712917i	$0.252626\pi$
$757$	−7.54179	+	25.6850i	−0.274111	+	0.933536i	−0.975360	+	0.220620i	$0.929192\pi$
$758$			7.51967i			0.273127i
$759$	8.97173	−	5.08579i	0.325653	−	0.184603i
$760$	0.576693			0.0209188
$761$	10.9537	−	37.3049i	0.397072	−	1.35230i	−0.482234	−	0.876043i	$-0.660174\pi$
$761$	10.9537	−	37.3049i	0.397072	−	1.35230i	0.879305	−	0.476259i	$-0.158007\pi$
$762$	4.58357	+	3.97169i	0.166045	+	0.143879i
$763$	−17.5073	+	12.5812i	−0.633807	+	0.455472i
$764$	16.1954	+	2.32854i	0.585928	+	0.0842437i
$765$	−0.285061	+	0.183198i	−0.0103064	+	0.00662352i
$766$	−6.27178	−	13.7333i	−0.226609	−	0.496204i
$767$	−0.693846	−	0.800741i	−0.0250533	−	0.0289131i
$768$	−0.989821	+	0.142315i	−0.0357171	+	0.00513534i
$769$	0.144058	−	0.315444i	0.00519487	−	0.0113752i	−0.907017	−	0.421094i	$-0.861646\pi$
$769$	0.144058	−	0.315444i	0.00519487	−	0.0113752i	0.912212	+	0.409719i	$0.134373\pi$
$770$	0.0556727	−	0.610911i	0.00200631	−	0.0220157i
$771$	−12.9000	+	3.78778i	−0.464583	+	0.136414i
$772$	4.66250	−	10.2094i	0.167807	−	0.367446i
$773$	3.16747	+	22.0302i	0.113926	+	0.792371i	0.964037	+	0.265768i	$0.0856256\pi$
$773$	3.16747	+	22.0302i	0.113926	+	0.792371i	−0.850111	+	0.526603i	$0.823465\pi$
$774$	3.89938	−	3.37883i	0.140160	−	0.121450i
$775$	−35.2917	+	16.1172i	−1.26772	+	0.578946i
$776$	−2.95432	+	1.89863i	−0.106054	+	0.0681567i
$777$	9.17712	−	16.0550i	0.329227	−	0.575971i
$778$	11.4461	−	17.8104i	0.410362	−	0.638535i
$779$	44.3004	+	38.3865i	1.58723	+	1.37534i
$780$	0.0839319	+	0.0246446i	0.00300524	+	0.000882419i
$781$		−	3.48672i		−	0.124765i
$782$	−14.2036	−	5.04188i	−0.507921	−	0.180297i
$783$		−	8.98929i		−	0.321251i
$784$	−3.55225	−	6.03171i	−0.126866	−	0.215418i
$785$	−0.384832	+	0.444120i	−0.0137353	+	0.0158513i
$786$	−17.7839	−	11.4290i	−0.634332	−	0.407661i
$787$	−3.36230	+	23.3853i	−0.119853	+	0.833596i	0.837863	+	0.545880i	$0.183805\pi$
$787$	−3.36230	+	23.3853i	−0.119853	+	0.833596i	−0.957716	+	0.287715i	$0.907104\pi$
$788$	7.74917	−	4.98009i	0.276053	−	0.177408i
$789$	−10.7286	−	23.4923i	−0.381948	−	0.836349i
$790$	0.00516236	−	0.00447321i	0.000183668	−	0.000159150i
$791$	−43.8983	−	10.4490i	−1.56084	−	0.371524i
$792$	−1.95607	−	0.893309i	−0.0695061	−	0.0317424i
$793$	−0.175748	−	0.598543i	−0.00624100	−	0.0212549i
$794$	−2.20475	−	7.50868i	−0.0782436	−	0.266473i
$795$	0.294674	−	0.645247i	0.0104510	−	0.0228845i
$796$	−2.12356	−	14.7697i	−0.0752676	−	0.523498i
$797$	4.98486	+	5.75284i	0.176573	+	0.203776i	0.837136	−	0.546994i	$-0.184228\pi$
$797$	4.98486	+	5.75284i	0.176573	+	0.203776i	−0.660564	+	0.750770i	$0.729683\pi$
$798$	14.1320	−	0.734393i	0.500266	−	0.0259972i
$799$	−8.82490	−	13.7318i	−0.312202	−	0.485796i
$800$	0.709920	−	4.93760i	0.0250995	−	0.174571i
$801$	11.6055	+	7.45841i	0.410061	+	0.263530i
$802$	−17.2351	−	14.9343i	−0.608592	−	0.527348i
$803$	16.3449	+	4.79929i	0.576798	+	0.169363i
$804$	−10.7116			−0.377769
$805$	−1.03073	−	0.899609i	−0.0363285	−	0.0317070i
$806$	−6.30997			−0.222259
$807$	−13.8401	−	4.06383i	−0.487195	−	0.143054i
$808$	6.07249	+	5.26185i	0.213630	+	0.185111i
$809$	−33.5637	−	21.5701i	−1.18004	−	0.758364i	−0.204645	−	0.978836i	$-0.565604\pi$
$809$	−33.5637	−	21.5701i	−1.18004	−	0.758364i	−0.975393	+	0.220472i	$0.929240\pi$
$810$	−0.0153446	+	0.106724i	−0.000539154	+	0.00374990i
$811$	−27.3927	−	42.6239i	−0.961889	−	1.49673i	−0.865208	−	0.501413i	$-0.832814\pi$
$811$	−27.3927	−	42.6239i	−0.961889	−	1.49673i	−0.0966804	−	0.995315i	$-0.530822\pi$
$812$	−1.23428	−	23.7514i	−0.0433148	−	0.833510i
$813$	1.26226	+	1.45672i	0.0442692	+	0.0510894i
$814$	−2.13906	−	14.8775i	−0.0749741	−	0.521456i
$815$	−0.767243	+	1.68003i	−0.0268754	+	0.0588488i
$816$	0.885406	+	3.01542i	0.0309954	+	0.105561i
$817$	7.77489	+	26.4788i	0.272009	+	0.926377i
$818$	−26.9715	−	12.3175i	−0.943035	−	0.430670i
$819$	2.08815	+	0.497038i	0.0729659	+	0.0173679i
$820$	−0.893046	+	0.773829i	−0.0311865	+	0.0270233i
$821$	1.00890	+	2.20918i	0.0352108	+	0.0771009i	0.926420	−	0.376491i	$-0.122870\pi$
$821$	1.00890	+	2.20918i	0.0352108	+	0.0771009i	−0.891209	+	0.453592i	$0.850142\pi$
$822$	−6.37931	+	4.09974i	−0.222504	+	0.142995i
$823$	−6.06186	+	42.1612i	−0.211303	+	1.46965i	0.557508	+	0.830171i	$0.311758\pi$
$823$	−6.06186	+	42.1612i	−0.211303	+	1.46965i	−0.768812	+	0.639475i	$0.779152\pi$
$824$	−14.7221	−	9.46132i	−0.512869	−	0.329601i
$825$	7.02470	−	8.10693i	0.244569	−	0.282247i
$826$	2.12416	−	2.72524i	0.0739089	−	0.0948231i
$827$			33.5834i			1.16781i	0.811822	+	0.583905i	$0.198476\pi$
$827$			33.5834i			1.16781i	−0.811822	+	0.583905i	$0.801524\pi$
$828$	−4.17212	+	2.36504i	−0.144991	+	0.0821909i
$829$			20.5328i			0.713134i	0.934270	+	0.356567i	$0.116053\pi$
$829$			20.5328i			0.713134i	−0.934270	+	0.356567i	$0.883947\pi$
$830$	−0.712218	−	0.209126i	−0.0247214	−	0.00725887i
$831$	−2.83211	−	2.45404i	−0.0982450	−	0.0851298i
$832$	0.438620	−	0.682506i	0.0152064	−	0.0236617i
$833$	−17.1743	+	13.7478i	−0.595053	+	0.476333i
$834$	12.5034	−	8.03545i	0.432958	−	0.278245i
$835$	0.0253733	−	0.0115876i	0.000878078	−	0.000401005i
$836$	8.69234	−	7.53196i	0.300631	−	0.260498i
$837$	−1.10687	−	7.69847i	−0.0382591	−	0.266098i
$838$	9.91551	−	21.7119i	0.342526	−	0.750027i
$839$	18.9648	−	5.56857i	0.654738	−	0.192248i	0.0625418	−	0.998042i	$-0.480079\pi$
$839$	18.9648	−	5.56857i	0.654738	−	0.192248i	0.592196	+	0.805794i	$0.298261\pi$
$840$	−0.0258894	+	0.284092i	−0.000893271	+	0.00980209i
$841$	21.5216	−	47.1256i	0.742123	−	1.62502i
$842$	32.6877	−	4.69978i	1.12649	−	0.161965i
$843$	−8.90108	−	10.2724i	−0.306569	−	0.353800i
$844$	−3.70077	−	8.10355i	−0.127386	−	0.278936i
$845$	1.11947	−	0.719437i	0.0385108	−	0.0247494i
$846$	−5.14105	−	0.739172i	−0.176753	−	0.0254133i
$847$	9.84408	+	13.6984i	0.338247	+	0.470684i
$848$	−4.97202	−	4.30828i	−0.170740	−	0.147947i
$849$	2.21755	−	7.55228i	0.0761061	−	0.259193i
$850$	−15.6771			−0.537719
$851$	−29.6724	−	15.5950i	−1.01716	−	0.534591i
$852$			1.62143i			0.0555492i
$853$	−1.97822	+	6.73720i	−0.0677330	+	0.230677i	−0.986402	−	0.164351i	$-0.947447\pi$
$853$	−1.97822	+	6.73720i	−0.0677330	+	0.230677i	0.918669	+	0.395028i	$0.129265\pi$
$854$	1.80415	−	0.939990i	0.0617366	−	0.0321658i
$855$	−0.485145	−	0.311784i	−0.0165916	−	0.0106628i
$856$	10.5948	+	1.52330i	0.362121	+	0.0520652i
$857$	−2.84539	−	4.42751i	−0.0971965	−	0.151241i	0.789250	−	0.614072i	$-0.210470\pi$
$857$	−2.84539	−	4.42751i	−0.0971965	−	0.151241i	−0.886446	+	0.462832i	$0.846833\pi$
$858$	1.58696	−	0.724739i	0.0541778	−	0.0247422i
$859$	10.8097	−	9.36663i	0.368821	−	0.319585i	−0.450655	−	0.892698i	$-0.648810\pi$
$859$	10.8097	−	9.36663i	0.368821	−	0.319585i	0.819477	+	0.573113i	$0.194264\pi$
$860$	−0.550656	+	0.0791723i	−0.0187772	+	0.00269975i
$861$	−20.8988	+	20.1001i	−0.712230	+	0.685009i
$862$	2.27034	+	7.73208i	0.0773282	+	0.263356i
$863$	5.98410	−	1.75709i	0.203701	−	0.0598120i	−0.178290	−	0.983978i	$-0.557057\pi$
$863$	5.98410	−	1.75709i	0.203701	−	0.0598120i	0.381991	+	0.924166i	$0.375238\pi$
$864$	0.909632	+	0.415415i	0.0309463	+	0.0141327i
$865$	−0.218524	+	0.0314190i	−0.00743004	+	0.00106828i
$866$	14.4549	+	16.6819i	0.491199	+	0.566874i
$867$	−6.47960	+	2.95913i	−0.220059	+	0.100497i
$868$	−3.98161	−	20.1888i	−0.135145	−	0.685253i
$869$	0.0193881	−	0.134847i	0.000657695	−	0.00457437i
$870$	−0.524010	+	0.815376i	−0.0177656	+	0.0276438i
$871$	5.69093	−	6.56769i	0.192830	−	0.222538i
$872$	2.29572	−	7.81849i	0.0777428	−	0.264768i
$873$	3.51181			0.118857
$874$	−2.23655	−	25.5532i	−0.0756524	−	0.864351i
$875$	−2.64982	−	1.04757i	−0.0895801	−	0.0354142i
$876$	−7.60084	−	2.23181i	−0.256809	−	0.0754058i
$877$	−10.6320	+	12.2699i	−0.359016	+	0.414327i	−0.906310	−	0.422614i	$-0.861113\pi$
$877$	−10.6320	+	12.2699i	−0.359016	+	0.414327i	0.547294	+	0.836941i	$0.315658\pi$
$878$	2.16759	−	3.37283i	0.0731525	−	0.113827i
$879$	−4.74924	−	0.682837i	−0.160188	−	0.0230315i
$880$	0.125353	+	0.195053i	0.00422564	+	0.00657523i
$881$	16.1947	+	35.4615i	0.545614	+	1.19473i	0.958800	+	0.284081i	$0.0916886\pi$
$881$	16.1947	+	35.4615i	0.545614	+	1.19473i	−0.413186	+	0.910647i	$0.635584\pi$
$882$	−0.272648	+	6.99469i	−0.00918052	+	0.235523i
$883$	−5.39109	−	37.4959i	−0.181425	−	1.26184i	−0.853397	−	0.521261i	$-0.825462\pi$
$883$	−5.39109	−	37.4959i	−0.181425	−	1.26184i	0.671973	−	0.740576i	$-0.265447\pi$
$884$	−2.31927	−	1.05917i	−0.0780054	−	0.0356239i
$885$	−0.135108	+	0.0396713i	−0.00454161	+	0.00133354i
$886$	6.35755	−	1.86675i	0.213586	−	0.0627146i
$887$	25.2802	+	11.5451i	0.848828	+	0.387647i	0.791840	−	0.610728i	$-0.209123\pi$
$887$	25.2802	+	11.5451i	0.848828	+	0.387647i	0.0569874	+	0.998375i	$0.481850\pi$
$888$	0.994726	+	6.91847i	0.0333808	+	0.232169i
$889$	−5.31370	−	15.1410i	−0.178216	−	0.507812i
$890$	−0.617910	−	1.35303i	−0.0207124	−	0.0453538i
$891$	1.16260	+	1.80903i	0.0389484	+	0.0606049i
$892$	15.0313	+	2.16118i	0.503286	+	0.0723616i
$893$	15.0191	−	23.3701i	0.502594	−	0.782052i
$894$	−7.68979	+	8.87449i	−0.257185	+	0.296807i
$895$	1.56908	+	0.460723i	0.0524485	+	0.0154003i
$896$	2.46046	+	0.972706i	0.0821981	+	0.0324958i
$897$	0.766495	−	3.81460i	0.0255925	−	0.127366i
$898$	−1.12423			−0.0375161
$899$	19.6975	−	67.0834i	0.656947	−	2.23736i
$900$	−3.26669	+	3.76996i	−0.108890	+	0.125665i
$901$	−11.1781	+	17.3935i	−0.372397	+	0.579462i
$902$	−3.35398	+	23.3275i	−0.111675	+	0.776719i
$903$	−13.3931	+	2.64137i	−0.445694	+	0.0878993i
$904$	15.5143	−	7.08513i	0.515997	−	0.235648i
$905$	0.933223	+	1.07700i	0.0310214	+	0.0358006i
$906$	−23.4979	+	3.37849i	−0.780667	+	0.112243i
$907$	19.1195	+	8.73160i	0.634854	+	0.289928i	0.706728	−	0.707486i	$-0.250171\pi$
$907$	19.1195	+	8.73160i	0.634854	+	0.289928i	−0.0718739	+	0.997414i	$0.522898\pi$
$908$	−22.3846	+	6.57271i	−0.742859	+	0.218123i
$909$	−2.26374	−	7.70958i	−0.0750835	−	0.255711i
$910$	−0.160432	−	0.166808i	−0.00531829	−	0.00552963i
$911$	−22.4069	+	3.22163i	−0.742375	+	0.106737i	−0.503116	−	0.864219i	$-0.667813\pi$
$911$	−22.4069	+	3.22163i	−0.742375	+	0.106737i	−0.239258	+	0.970956i	$0.576904\pi$
$912$	−4.04219	+	3.50258i	−0.133850	+	0.115982i
$913$	−13.4664	+	6.14989i	−0.445672	+	0.203532i
$914$	−19.4569	−	30.2755i	−0.643576	−	1.00142i
$915$	−0.0820609	−	0.0117986i	−0.00271285	−	0.000390049i
$916$	18.1648	+	11.6738i	0.600182	+	0.385714i
$917$	25.8435	+	49.6020i	0.853426	+	1.63800i
$918$	0.885406	−	3.01542i	0.0292228	−	0.0995236i
$919$		−	37.1737i		−	1.22625i	−0.789986	−	0.613124i	$-0.789912\pi$
$919$		−	37.1737i		−	1.22625i	0.789986	−	0.613124i	$-0.210088\pi$
$920$	0.516298	+	0.0286825i	0.0170218	+	0.000945632i
$921$	29.5264			0.972929
$922$	−9.60133	+	32.6991i	−0.316203	+	1.07689i
$923$	−0.994158	−	0.861443i	−0.0327231	−	0.0283547i
$924$	3.32018	+	4.62017i	0.109226	+	0.151992i
$925$	−34.5119	−	4.96207i	−1.13475	−	0.163152i
$926$	−33.3608	+	21.4397i	−1.09630	+	0.704552i
$927$	7.26984	+	15.9187i	0.238773	+	0.522840i
$928$	5.88673	+	6.79365i	0.193242	+	0.223013i
$929$	−14.9150	+	2.14446i	−0.489346	+	0.0703573i	−0.382571	−	0.923926i	$-0.624961\pi$
$929$	−14.9150	+	2.14446i	−0.489346	+	0.0703573i	−0.106775	+	0.994283i	$0.534052\pi$
$930$	−0.348366	+	0.762814i	−0.0114234	+	0.0250137i
$931$	−33.4251	−	16.8679i	−1.09546	−	0.552823i
$932$	7.13408	−	2.09476i	0.233685	−	0.0686160i
$933$	8.69152	−	19.0318i	0.284547	−	0.623072i
$934$	−1.48326	−	10.3163i	−0.0485339	−	0.337561i
$935$	0.550692	−	0.477177i	0.0180095	−	0.0156054i
$936$	−0.737982	+	0.337025i	−0.0241217	+	0.0110160i
$937$	−25.3106	+	16.2662i	−0.826863	+	0.531392i	−0.884280	−	0.466958i	$-0.845350\pi$
$937$	−25.3106	+	16.2662i	−0.826863	+	0.531392i	0.0574169	+	0.998350i	$0.481714\pi$
$938$	24.6044	+	14.0640i	0.803361	+	0.459205i
$939$	6.14226	−	9.55755i	0.200445	−	0.311899i
$940$	0.423232	+	0.366733i	0.0138043	+	0.0119615i
$941$	20.8767	+	6.12995i	0.680560	+	0.199831i	0.603700	−	0.797211i	$-0.293692\pi$
$941$	20.8767	+	6.12995i	0.680560	+	0.199831i	0.0768601	+	0.997042i	$0.475511\pi$
$942$		−	5.45026i		−	0.177579i
$943$	37.7518	+	36.5698i	1.22937	+	1.19088i
$944$			1.30597i			0.0425058i
$945$	0.175371	−	0.224996i	0.00570482	−	0.00731913i
$946$	−7.26585	+	8.38524i	−0.236233	+	0.272628i
$947$	−15.7891	−	10.1470i	−0.513075	−	0.329734i	0.258352	−	0.966051i	$-0.416821\pi$
$947$	−15.7891	−	10.1470i	−0.513075	−	0.329734i	−0.771427	+	0.636317i	$0.780457\pi$
$948$	−0.00901602	+	0.0627078i	−0.000292827	+	0.00203665i
$949$	5.40663	−	3.47463i	0.175507	−	0.112791i
$950$	−11.0836	−	24.2697i	−0.359599	−	0.787412i
$951$	−21.4420	+	18.5796i	−0.695305	+	0.602485i
$952$	1.92537	−	8.08886i	0.0624017	−	0.262162i
$953$	0.469808	+	0.214554i	0.0152186	+	0.00695009i	0.423010	−	0.906125i	$-0.360974\pi$
$953$	0.469808	+	0.214554i	0.0152186	+	0.00695009i	−0.407791	+	0.913075i	$0.633701\pi$
$954$	1.85350	+	6.31243i	0.0600092	+	0.204372i
$955$	0.497023	+	1.69270i	0.0160833	+	0.0547746i
$956$	12.2619	−	26.8498i	0.396578	−	0.868386i
$957$	2.75103	+	19.1338i	0.0889282	+	0.618509i
$958$	18.9049	+	21.8174i	0.610790	+	0.704889i
$959$	20.0360	−	1.04121i	0.646995	−	0.0336223i
$960$	−0.0582927	−	0.0907052i	−0.00188139	−	0.00292750i
$961$	4.19710	−	29.1915i	0.135390	−	0.941661i
$962$	−4.77046	−	3.06579i	−0.153806	−	0.0988450i
$963$	−8.08932	−	7.00944i	−0.260675	−	0.225876i
$964$	−24.8655	−	7.30117i	−0.800864	−	0.235155i
$965$	1.21016			0.0389564
$966$	12.6885	+	0.0453867i	0.408246	+	0.00146029i
$967$	−8.87754			−0.285482			−0.142741	−	0.989760i	$-0.545592\pi$
$967$	−8.87754			−0.285482			−0.142741	+	0.989760i	$0.545592\pi$
$968$	−6.11751	−	1.79626i	−0.196624	−	0.0577341i
$969$	12.7035	+	11.0076i	0.408094	+	0.353616i
$970$	−0.318539	−	0.204713i	−0.0102277	−	0.00657293i
$971$	0.957369	−	6.65865i	0.0307234	−	0.213686i	−0.968676	−	0.248326i	$-0.920119\pi$
$971$	0.957369	−	6.65865i	0.0307234	−	0.213686i	0.999400	+	0.0346403i	$0.0110285\pi$
$972$	−0.540641	−	0.841254i	−0.0173411	−	0.0269832i
$973$	−39.2704	+	2.04075i	−1.25895	+	0.0654236i
$974$	−10.2279	−	11.8036i	−0.327722	−	0.378212i
$975$	−0.575956	−	4.00586i	−0.0184453	−	0.128290i
$976$	−0.319416	+	0.699422i	−0.0102242	+	0.0223880i
$977$	1.70363	+	5.80202i	0.0545038	+	0.185623i	0.982246	−	0.187600i	$-0.0600708\pi$
$977$	1.70363	+	5.80202i	0.0545038	+	0.185623i	−0.927742	+	0.373223i	$0.878253\pi$
$978$	−4.82595	−	16.4357i	−0.154317	−	0.525555i
$979$	−26.9850	−	12.3237i	−0.862445	−	0.393866i
$980$	0.432470	−	0.618561i	0.0138147	−	0.0197592i
$981$	−6.15828	+	5.33618i	−0.196619	+	0.170371i
$982$	−7.01298	−	15.3563i	−0.223793	−	0.490039i
$983$	−11.8647	+	7.62495i	−0.378424	+	0.243198i	−0.716000	−	0.698100i	$-0.754029\pi$
$983$	−11.8647	+	7.62495i	−0.378424	+	0.243198i	0.337577	+	0.941298i	$0.390393\pi$
$984$	1.55970	−	10.8479i	0.0497214	−	0.345820i
$985$	0.835527	+	0.536961i	0.0266221	+	0.0171090i
$986$	18.5003	−	21.3505i	0.589171	−	0.679940i
$987$	10.8384	+	8.44789i	0.344990	+	0.268899i
$988$		−	4.33929i		−	0.138051i
$989$	5.64370	+	24.0925i	0.179459	+	0.766097i
$990$		−	0.231860i		−	0.00736898i
$991$	45.4250	+	13.3380i	1.44297	+	0.423695i	0.907212	−	0.420674i	$-0.138207\pi$
$991$	45.4250	+	13.3380i	1.44297	+	0.423695i	0.535761	+	0.844370i	$0.320025\pi$
$992$	5.87795	+	5.09327i	0.186625	+	0.161711i
$993$	16.7878	−	26.1224i	0.532745	−	0.828968i
$994$	2.12888	−	3.72439i	0.0675239	−	0.118130i
$995$	1.35346	−	0.869819i	0.0429077	−	0.0275751i
$996$	6.26226	−	2.85988i	0.198427	−	0.0906188i
$997$	35.3996	−	30.6740i	1.12112	−	0.971454i	0.121342	−	0.992611i	$-0.461280\pi$
$997$	35.3996	−	30.6740i	1.12112	−	0.971454i	0.999776	+	0.0211567i	$0.00673489\pi$
$998$	0.899581	+	6.25672i	0.0284757	+	0.198053i
$999$	2.90359	−	6.35798i	0.0918656	−	0.201158i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.s.a.97.13	yes	160
7.6	odd	2	inner	966.2.s.a.97.4	✓	160
23.14	odd	22	inner	966.2.s.a.727.4	yes	160
161.83	even	22	inner	966.2.s.a.727.13	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.a.97.4	✓	160	7.6	odd	2	inner
966.2.s.a.97.13	yes	160	1.1	even	1	trivial
966.2.s.a.727.4	yes	160	23.14	odd	22	inner
966.2.s.a.727.13	yes	160	161.83	even	22	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.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.0153446 + 0.106724i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(0.137306 + 2.64219i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\)	\(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.0153446 + 0.106724i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(0.137306 + 2.64219i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.0447907 - 0.0980779i) q^{10} +(-0.605838 - 2.06330i) q^{11} +(0.281733 + 0.959493i) q^{12} +(-0.737982 - 0.337025i) q^{13} +(0.612646 - 2.57384i) q^{14} +(-0.0814861 + 0.0706081i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.64382 - 1.69908i) q^{17} +(0.142315 - 0.989821i) q^{18} +(4.49952 + 2.89167i) q^{19} +(-0.0706081 + 0.0814861i) q^{20} +(-1.62650 + 2.08675i) q^{21} +2.15040i q^{22} +(3.88448 + 2.81262i) q^{23} -1.00000i q^{24} +(4.78631 + 1.40539i) q^{25} +(0.613137 + 0.531287i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(-1.31296 + 2.29698i) q^{28} +(-7.56227 + 4.85998i) q^{29} +(0.0980779 - 0.0447907i) q^{30} +(-5.87795 + 5.09327i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.893309 - 1.95607i) q^{33} +(-3.01542 + 0.885406i) q^{34} +(-0.284092 - 0.0258894i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-6.91847 + 0.994726i) q^{37} +(-3.50258 - 4.04219i) q^{38} +(-0.337025 - 0.737982i) q^{39} +(0.0907052 - 0.0582927i) q^{40} +(10.8479 + 1.55970i) q^{41} +(2.14852 - 1.54398i) q^{42} +(3.89938 + 3.37883i) q^{43} +(0.605838 - 2.06330i) q^{44} -0.107822 q^{45} +(-2.93472 - 3.79307i) q^{46} -5.19392i q^{47} +(-0.281733 + 0.959493i) q^{48} +(-6.96229 + 0.725575i) q^{49} +(-4.19649 - 2.69692i) q^{50} +(3.11073 + 0.447255i) q^{51} +(-0.438620 - 0.682506i) q^{52} +(-5.98440 + 2.73298i) q^{53} +(0.755750 - 0.654861i) q^{54} +(0.229500 - 0.0329971i) q^{55} +(1.90691 - 1.83403i) q^{56} +(1.50687 + 5.13193i) q^{57} +(8.62516 - 2.53258i) q^{58} +(1.18795 + 0.542521i) q^{59} +(-0.106724 + 0.0153446i) q^{60} +(0.503527 + 0.581101i) q^{61} +(7.07479 - 3.23095i) q^{62} +(-2.59575 + 0.511931i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(0.0472927 - 0.0735889i) q^{65} +(-1.40821 + 1.62517i) q^{66} +(-3.01781 + 10.2777i) q^{67} +3.14272 q^{68} +(1.09382 + 4.66943i) q^{69} +(0.265290 + 0.104879i) q^{70} +(1.55575 + 0.456809i) q^{71} +(0.654861 - 0.755750i) q^{72} +(-4.28281 + 6.66418i) q^{73} +(6.91847 + 0.994726i) q^{74} +(2.69692 + 4.19649i) q^{75} +(2.22188 + 4.86525i) q^{76} +(5.36843 - 1.88404i) q^{77} +(0.115460 + 0.803039i) q^{78} +(0.0576276 + 0.0263176i) q^{79} +(-0.103454 + 0.0303768i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-9.96911 - 4.55274i) q^{82} +(-0.979751 - 6.81432i) q^{83} +(-2.49648 + 0.876134i) q^{84} +(0.140764 + 0.308231i) q^{85} +(-2.78950 - 4.34055i) q^{86} +(-8.89779 - 1.27931i) q^{87} +(-1.16260 + 1.80903i) q^{88} +(9.03413 - 10.4259i) q^{89} +(0.103454 + 0.0303768i) q^{90} +(0.789153 - 1.99616i) q^{91} +(1.74721 + 4.46623i) q^{92} -7.77764 q^{93} +(-1.46330 + 4.98353i) q^{94} +(-0.377653 + 0.435835i) q^{95} +(0.540641 - 0.841254i) q^{96} +(0.499783 - 3.47606i) q^{97} +(6.88469 + 1.26532i) q^{98} +(1.95607 - 0.893309i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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