LMFDB - Embedded newform 966.2.s.a.727.4

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			727.4
Character	$\chi$	$=$	966.727
Dual form			966.2.s.a.97.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 + 0.281733i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.0153446 + 0.106724i) q^{5} +(0.540641 - 0.841254i) q^{6} +(-1.90691 + 1.83403i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(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} +(-1.90691 + 1.83403i) 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} +(1.31296 - 2.29698i) 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} +(0.240114 - 2.63483i) 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} +(-0.612646 + 2.57384i) 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} +(-0.224996 - 0.175371i) 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} +(0.511931 + 2.59575i) 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} +(0.272648 - 6.99469i) 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} +(-0.137306 - 2.64219i) 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} +(1.54398 + 2.14852i) 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} +(-2.62887 - 5.04566i) 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} +(-1.22250 - 2.34638i) 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} +(1.70903 + 6.78817i) 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 $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{21}{22}\right)$

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	$-0.0377795\pi$
$5$	0.0153446	+	0.106724i	0.00686231	+	0.0477284i	−0.986103	+	0.166138i	$0.946870\pi$
$6$	0.540641	−	0.841254i	0.220716	−	0.343440i
$7$	−1.90691	+	1.83403i	−0.720746	+	0.693199i
$7$	−1.90691	+	1.83403i	−0.720746	+	0.693199i
$8$	−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	0.816341	+	0.577571i	$0.195999\pi$
$11$	−0.605838	+	2.06330i	−0.182667	+	0.622107i	−0.999008	+	0.0445363i	$0.985819\pi$
$12$	−0.281733	+	0.959493i	−0.0813292	+	0.276982i
$13$	0.737982	−	0.337025i	0.204679	−	0.0934739i	−0.310438	−	0.950594i	$-0.600476\pi$
$13$	0.737982	−	0.337025i	0.204679	−	0.0934739i	0.515117	+	0.857120i	$0.327748\pi$
$14$	1.31296	−	2.29698i	0.350905	−	0.613894i
$15$	−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	$-0.442640\pi$
$17$	−2.64382	−	1.69908i	−0.641221	−	0.412088i	−0.820449	+	0.571720i	$0.806276\pi$
$18$	0.142315	+	0.989821i	0.0335439	+	0.233303i
$19$	−4.49952	+	2.89167i	−1.03226	+	0.663393i	−0.943061	−	0.332620i	$-0.892067\pi$
$19$	−4.49952	+	2.89167i	−1.03226	+	0.663393i	−0.0891996	+	0.996014i	$0.528431\pi$
$20$	0.0706081	+	0.0814861i	0.0157884	+	0.0182208i
$21$	0.240114	−	2.63483i	0.0523972	−	0.574968i
$22$		−	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
$28$	−0.612646	+	2.57384i	−0.115779	+	0.486411i
$29$	−7.56227	−	4.85998i	−1.40428	−	0.902475i	−0.404352	−	0.914603i	$-0.632503\pi$
$29$	−7.56227	−	4.85998i	−1.40428	−	0.902475i	−0.999926	+	0.0121279i	$0.996139\pi$
$30$	0.0980779	+	0.0447907i	0.0179065	+	0.00817762i
$31$	5.87795	+	5.09327i	1.05571	+	0.914778i	0.996510	−	0.0834678i	$-0.0265996\pi$
$31$	5.87795	+	5.09327i	1.05571	+	0.914778i	0.0592000	+	0.998246i	$0.481145\pi$
$32$	−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
$35$	−0.224996	−	0.175371i	−0.0380313	−	0.0296431i
$36$	−0.415415	−	0.909632i	−0.0692358	−	0.151605i
$37$	−6.91847	−	0.994726i	−1.13739	−	0.163532i	−0.452214	−	0.891910i	$-0.649366\pi$
$37$	−6.91847	−	0.994726i	−1.13739	−	0.163532i	−0.685176	+	0.728378i	$0.740275\pi$
$38$	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	$-0.872385\pi$
$41$	−10.8479	+	1.55970i	−1.69416	+	0.243584i	−0.773460	+	0.633845i	$0.781476\pi$
$42$	0.511931	+	2.59575i	0.0789926	+	0.400533i
$43$	3.89938	−	3.37883i	0.594650	−	0.515267i	−0.304728	−	0.952440i	$-0.598565\pi$
$43$	3.89938	−	3.37883i	0.594650	−	0.515267i	0.899378	+	0.437172i	$0.144020\pi$
$44$	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
$49$	0.272648	−	6.99469i	0.0389497	−	0.999241i
$50$	−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	−0.0404192	−	0.999183i	$-0.512869\pi$
$53$	−5.98440	−	2.73298i	−0.822020	−	0.375404i	−0.781601	+	0.623779i	$0.785597\pi$
$54$	−0.755750	−	0.654861i	−0.102844	−	0.0891153i
$55$	−0.229500	−	0.0329971i	−0.0309457	−	0.00444932i
$56$	−0.137306	−	2.64219i	−0.0183483	−	0.353077i
$57$	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	$-0.663456\pi$
$59$	−1.18795	+	0.542521i	−0.154659	+	0.0706302i	0.336582	+	0.941654i	$0.390729\pi$
$60$	−0.106724	−	0.0153446i	−0.0137780	−	0.00198098i
$61$	−0.503527	+	0.581101i	−0.0644700	+	0.0744024i	−0.787068	−	0.616866i	$-0.788402\pi$
$61$	−0.503527	+	0.581101i	−0.0644700	+	0.0744024i	0.722598	+	0.691268i	$0.242948\pi$
$62$	−7.07479	−	3.23095i	−0.898499	−	0.410331i
$63$	1.54398	+	2.14852i	0.194524	+	0.270687i
$64$	−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	−0.909931	−	0.414759i	$-0.863866\pi$
$67$	−3.01781	−	10.2777i	−0.368684	−	1.25562i	0.541247	−	0.840864i	$-0.317952\pi$
$68$	−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	−0.188109	−	0.982148i	$-0.560236\pi$
$71$	1.55575	−	0.456809i	0.184633	−	0.0542133i	0.372742	+	0.927935i	$0.378418\pi$
$72$	0.654861	+	0.755750i	0.0771761	+	0.0890659i
$73$	4.28281	+	6.66418i	0.501265	+	0.779983i	0.996028	−	0.0890447i	$-0.0283814\pi$
$73$	4.28281	+	6.66418i	0.501265	+	0.779983i	−0.494763	+	0.869028i	$0.664745\pi$
$74$	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
$77$	−2.62887	−	5.04566i	−0.299588	−	0.575006i
$78$	0.115460	−	0.803039i	0.0130732	−	0.0909263i
$79$	0.0576276	−	0.0263176i	0.00648361	−	0.00296096i	−0.412171	−	0.911107i	$-0.635229\pi$
$79$	0.0576276	−	0.0263176i	0.00648361	−	0.00296096i	0.418654	+	0.908146i	$0.362502\pi$
$80$	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	−0.862680	−	0.505750i	$-0.831216\pi$
$83$	0.979751	−	6.81432i	0.107542	−	0.747969i	0.970222	−	0.242219i	$-0.0778751\pi$
$84$	−1.22250	−	2.34638i	−0.133386	−	0.256011i
$85$	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	−0.994385	−	0.105824i	$-0.966252\pi$
$89$	−9.03413	−	10.4259i	−0.957616	−	1.10515i	0.0367687	−	0.999324i	$-0.488294\pi$
$90$	−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	−0.999336	−	0.0364356i	$-0.988400\pi$
$97$	−0.499783	−	3.47606i	−0.0507452	−	0.352941i	0.948591	−	0.316505i	$-0.102509\pi$
$98$	1.70903	+	6.78817i	0.172638	+	0.685709i
$99$	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	$-0.323639\pi$
$101$	7.95327	+	1.14351i	0.791380	+	0.113783i	0.265242	+	0.964182i	$0.414548\pi$
$102$	−2.85872	+	1.30553i	−0.283055	+	0.129267i
$103$	−16.7913	−	4.93038i	−1.65450	−	0.485804i	−0.684519	−	0.728995i	$-0.739988\pi$
$103$	−16.7913	−	4.93038i	−1.65450	−	0.485804i	−0.969979	+	0.243191i	$0.921806\pi$
$104$	−0.228569	+	0.778434i	−0.0224130	+	0.0763317i
$105$	0.284884	−	0.0148045i	0.0278019	−	0.00144477i
$106$	6.51196	+	0.936278i	0.632497	+	0.0909394i
$107$	−8.08932	−	7.00944i	−0.782024	−	0.677628i	0.169387	−	0.985550i	$-0.445821\pi$
$107$	−8.08932	−	7.00944i	−0.782024	−	0.677628i	−0.951412	+	0.307922i	$0.900367\pi$
$108$	0.909632	+	0.415415i	0.0875294	+	0.0399733i
$109$	4.40545	−	6.85501i	0.421965	−	0.656591i	−0.563569	−	0.826069i	$-0.690572\pi$
$109$	4.40545	−	6.85501i	0.421965	−	0.656591i	0.985534	+	0.169478i	$0.0542083\pi$
$110$	0.229500	−	0.0329971i	0.0218819	−	0.00314615i
$111$	5.88004	−	3.77887i	0.558109	−	0.358675i
$112$	0.876134	+	2.49648i	0.0827869	+	0.235895i
$113$	−4.80510	−	16.3647i	−0.452026	−	1.53946i	−0.798851	−	0.601529i	$-0.794559\pi$
$113$	−4.80510	−	16.3647i	−0.452026	−	1.53946i	0.346825	−	0.937930i	$-0.387260\pi$
$114$			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
$119$	8.15772	−	1.60885i	0.747817	−	0.147483i
$120$	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
$126$	−2.08675	−	1.62650i	−0.185902	−	0.144900i
$127$	−5.81926	−	1.70869i	−0.516376	−	0.151622i	0.0131530	−	0.999913i	$-0.495813\pi$
$127$	−5.81926	−	1.70869i	−0.516376	−	0.151622i	−0.529529	+	0.848292i	$0.677631\pi$
$128$	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	−0.999398	−	0.0346943i	$-0.988954\pi$
$131$	−19.2294	−	8.78179i	−1.68008	−	0.767269i	−0.680687	−	0.732575i	$-0.738318\pi$
$132$	−1.80903	−	1.16260i	−0.157456	−	0.101191i
$133$	3.27679	−	13.7664i	0.284134	−	1.19370i
$134$	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	$0.105006\pi$
$137$			7.58310i			0.647868i	−0.946080	+	0.323934i	$0.894994\pi$
$138$	−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	$0.782922\pi$
$140$	−0.284092	−	0.0258894i	−0.0240101	−	0.00218806i
$141$	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
$147$	4.37449	+	5.46478i	0.360802	+	0.450727i
$148$	−6.35798	+	2.90359i	−0.522623	+	0.238674i
$149$	−3.30828	+	11.2670i	−0.271025	+	0.923026i	0.705696	+	0.708514i	$0.250634\pi$
$149$	−3.30828	+	11.2670i	−0.271025	+	0.923026i	−0.976721	+	0.214512i	$0.931184\pi$
$150$	1.40539	−	4.78631i	0.114749	−	0.390801i
$151$	9.86178	+	21.5943i	0.802540	+	1.75732i	0.636619	+	0.771179i	$0.280333\pi$
$151$	9.86178	+	21.5943i	0.802540	+	1.75732i	0.165921	+	0.986139i	$0.446940\pi$
$152$	0.761183	−	5.29415i	0.0617401	−	0.429412i
$153$	−2.05804	+	2.37511i	−0.166383	+	0.192016i
$154$	3.94391	+	4.10063i	0.317809	+	0.330438i
$155$	−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	$-0.751605\pi$
$157$	−4.58505	+	2.94663i	−0.365927	+	0.235167i	0.344736	+	0.938700i	$0.387968\pi$
$158$	−0.0478787	+	0.0414871i	−0.00380903	+	0.00330054i
$159$	6.31243	−	1.85350i	0.500608	−	0.146992i
$160$	−0.107822			−0.00852404
$161$	−2.24893	+	12.4877i	−0.177241	+	0.984168i
$162$	1.00000			0.0785674
$163$	16.4357	−	4.82595i	1.28734	−	0.377997i	0.434738	−	0.900557i	$-0.356841\pi$
$163$	16.4357	−	4.82595i	1.28734	−	0.377997i	0.852603	+	0.522560i	$0.175023\pi$
$164$	−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	$-0.814996\pi$
$167$	0.139867	−	0.217637i	0.0108232	−	0.0168412i	0.846623	+	0.532193i	$0.178632\pi$
$168$	1.83403	+	1.90691i	0.141499	+	0.147122i
$169$	−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	$-0.933892\pi$
$173$	−0.576865	+	1.96462i	−0.0438582	+	0.149367i	0.934653	+	0.355561i	$0.115710\pi$
$174$	−8.17695	+	3.73429i	−0.619893	+	0.283096i
$175$	−6.54956	+	11.4582i	−0.495100	+	0.866159i
$176$	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	0.896126	+	0.443800i	$0.146370\pi$
$179$	2.15848	+	15.0125i	0.161332	+	1.12209i	−0.734794	+	0.678291i	$0.762721\pi$
$180$	0.0907052	−	0.0582927i	0.00676077	−	0.00434488i
$181$	−8.65526	−	9.98870i	−0.643340	−	0.742454i	0.336621	−	0.941640i	$-0.390716\pi$
$181$	−8.65526	−	9.98870i	−0.643340	−	0.742454i	−0.979962	+	0.199186i	$0.936170\pi$
$182$	0.194804	−	2.13763i	0.0144398	−	0.158452i
$183$		−	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
$189$	−2.57384	−	0.612646i	−0.187219	−	0.0445634i
$190$	0.485145	+	0.311784i	0.0351961	+	0.0226192i
$191$	14.8833	+	6.79698i	1.07692	+	0.491812i	0.873272	−	0.487232i	$-0.161994\pi$
$191$	14.8833	+	6.79698i	1.07692	+	0.491812i	0.203646	+	0.979045i	$0.434721\pi$
$192$	0.755750	+	0.654861i	0.0545415	+	0.0472605i
$193$	−1.59730	+	11.1095i	−0.114976	+	0.799677i	0.847982	+	0.530026i	$0.177818\pi$
$193$	−1.59730	+	11.1095i	−0.114976	+	0.799677i	−0.962958	+	0.269652i	$0.913091\pi$
$194$	1.45886	+	3.19445i	0.104740	+	0.229348i
$195$	−0.0839319	−	0.0246446i	−0.00601049	−	0.00176484i
$196$	−3.55225	−	6.03171i	−0.253732	−	0.430836i
$197$	3.82658	+	8.37904i	0.272632	+	0.596982i	0.995580	−	0.0939216i	$-0.0299403\pi$
$197$	3.82658	+	8.37904i	0.272632	+	0.596982i	−0.722947	+	0.690903i	$0.757213\pi$
$198$	−2.12851	−	0.306034i	−0.151267	−	0.0217489i
$199$	9.77155	−	11.2770i	0.692687	−	0.799403i	−0.295058	−	0.955479i	$-0.595339\pi$
$199$	9.77155	−	11.2770i	0.692687	−	0.799403i	0.987745	+	0.156076i	$0.0498844\pi$
$200$	−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
$203$	23.3340	−	4.60189i	1.63772	−	0.322990i
$204$	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
$210$	−0.269174	+	0.0944661i	−0.0185748	+	0.00651878i
$211$	−7.49440	+	4.81636i	−0.515935	+	0.331572i	−0.772562	−	0.634939i	$-0.781025\pi$
$211$	−7.49440	+	4.81636i	−0.515935	+	0.331572i	0.256627	+	0.966511i	$0.417389\pi$
$212$	−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
$217$	−20.5500	+	1.06792i	−1.39502	+	0.0724948i
$218$	−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	$-0.533422\pi$
$223$	−13.8136	−	6.30845i	−0.925025	−	0.422445i	−0.820220	+	0.572048i	$0.806149\pi$
$224$	−1.54398	−	2.14852i	−0.103162	−	0.143554i
$225$	−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	0.985333	+	0.170644i	$0.0545849\pi$
$227$	15.2776	+	17.6313i	1.01401	+	1.17023i	0.0286799	+	0.999589i	$0.490870\pi$
$228$	−1.50687	−	5.13193i	−0.0997950	−	0.339871i
$229$	−21.5926			−1.42688			−0.713438	−	0.700718i	$-0.752863\pi$
$229$	−21.5926			−1.42688			−0.713438	+	0.700718i	$0.752863\pi$
$230$	−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	0.892484	−	0.451079i	$-0.148961\pi$
$233$	4.86906	+	5.61920i	0.318983	+	0.368126i	−0.573501	+	0.819205i	$0.694415\pi$
$234$	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
$238$	−7.37401	+	3.84198i	−0.477986	+	0.249038i
$239$	−4.20074	+	29.2168i	−0.271723	+	1.88988i	0.158819	+	0.987308i	$0.449231\pi$
$239$	−4.20074	+	29.2168i	−0.271723	+	1.88988i	−0.430542	+	0.902570i	$0.641678\pi$
$240$	−0.0980779	+	0.0447907i	−0.00633090	+	0.00289123i
$241$	24.8655	+	7.30117i	1.60173	+	0.470310i	0.956026	−	0.293281i	$-0.0947470\pi$
$241$	24.8655	+	7.30117i	1.60173	+	0.470310i	0.645701	+	0.763590i	$0.276565\pi$
$242$	−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
$245$	0.750685	−	0.0782326i	0.0479595	−	0.00499810i
$246$	−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	$-0.671300\pi$
$251$	−7.59691	+	2.23066i	−0.479513	+	0.140798i	0.0330387	+	0.999454i	$0.489482\pi$
$252$	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	$-0.0440846\pi$
$257$	7.26871	+	11.3103i	0.453409	+	0.705519i	−0.537015	+	0.843572i	$0.680448\pi$
$258$	−0.734291	−	5.10711i	−0.0457150	−	0.317954i
$259$	15.0173	−	10.7918i	0.933129	−	0.670573i
$260$	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	−0.975609	−	0.219515i	$-0.929552\pi$
$263$	−23.4923	+	10.7286i	−1.44860	+	0.661553i	−0.472989	+	0.881068i	$0.656825\pi$
$264$	2.06330	+	0.605838i	0.126987	+	0.0372868i
$265$	0.199847	−	0.680616i	0.0122765	−	0.0418099i
$266$	0.734393	+	14.1320i	0.0450285	+	0.866486i
$267$	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	$-0.218708\pi$
$269$	13.1209	+	5.99212i	0.799996	+	0.365346i	0.0269025	+	0.999638i	$0.491436\pi$
$270$	0.0582927	−	0.0907052i	0.00354758	−	0.00552014i
$271$	−1.90790	+	0.274314i	−0.115897	+	0.0166634i	−0.200019	−	0.979792i	$-0.564100\pi$
$271$	−1.90790	+	0.274314i	−0.115897	+	0.0166634i	0.0841225	+	0.996455i	$0.473191\pi$
$272$	−2.64382	+	1.69908i	−0.160305	+	0.103022i
$273$	−0.710805	−	2.02538i	−0.0430199	−	0.122582i
$274$	−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
$280$	0.279878	−	0.0551971i	0.0167259	−	0.00329866i
$281$	−13.4540	+	1.93439i	−0.802597	+	0.115396i	−0.531392	−	0.847126i	$-0.678331\pi$
$281$	−13.4540	+	1.93439i	−0.802597	+	0.115396i	−0.271204	+	0.962522i	$0.587422\pi$
$282$	−4.36940	−	2.80805i	−0.260194	−	0.167217i
$283$	3.26978	−	7.15982i	0.194368	−	0.425607i	−0.787206	−	0.616691i	$-0.788473\pi$
$283$	3.26978	−	7.15982i	0.194368	−	0.425607i	0.981574	+	0.191084i	$0.0612002\pi$
$284$	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
$287$	17.8256	−	22.8697i	1.05221	−	1.34996i
$288$	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	$-0.273422\pi$
$293$	4.03640	+	2.59403i	0.235809	+	0.151545i	−0.417400	+	0.908723i	$0.637059\pi$
$294$	−5.73690	−	4.01098i	−0.334583	−	0.233925i
$295$	−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
$301$	−1.23890	+	13.5947i	−0.0714089	+	0.783588i
$302$	−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	−0.989468	−	0.144749i	$-0.953762\pi$
$307$	−22.3146	−	19.3357i	−1.27356	−	1.10355i	−0.284092	−	0.958797i	$-0.591692\pi$
$308$	−4.93943	−	2.82340i	−0.281450	−	0.160878i
$309$	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	−0.605318	−	0.795984i	$-0.706954\pi$
$311$	5.89455	−	20.0750i	0.334249	−	1.13835i	0.939567	−	0.342364i	$-0.111228\pi$
$312$	−0.337025	−	0.737982i	−0.0190803	−	0.0417800i
$313$	1.61685	−	11.2454i	0.0913898	−	0.635630i	−0.891717	−	0.452594i	$-0.850499\pi$
$313$	1.61685	−	11.2454i	0.0913898	−	0.635630i	0.983106	−	0.183035i	$-0.0585923\pi$
$314$	3.56916	−	4.11903i	0.201419	−	0.232450i
$315$	−0.205606	+	0.197748i	−0.0115846	+	0.0111418i
$316$	0.0342510	−	0.0532956i	0.00192677	−	0.00299811i
$317$	−4.03774	−	28.0831i	−0.226782	−	1.57730i	−0.711535	−	0.702651i	$-0.751999\pi$
$317$	−4.03774	−	28.0831i	−0.226782	−	1.57730i	0.484753	−	0.874651i	$-0.338910\pi$
$318$	−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
$322$	−1.36035	−	12.6154i	−0.0758094	−	0.703031i
$323$	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
$329$	9.52582	+	9.90436i	0.525175	+	0.546045i
$330$	−0.151836	+	0.175228i	−0.00835828	+	0.00964597i
$331$	−4.41912	+	30.7356i	−0.242897	+	1.68938i	0.394538	+	0.918880i	$0.370905\pi$
$331$	−4.41912	+	30.7356i	−0.242897	+	1.68938i	−0.637435	+	0.770504i	$0.720004\pi$
$332$	−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
$336$	−2.29698	−	1.31296i	−0.125311	−	0.0716281i
$337$	2.74700	+	2.38029i	0.149639	+	0.129663i	0.726463	−	0.687205i	$-0.241163\pi$
$337$	2.74700	+	2.38029i	0.149639	+	0.129663i	−0.576824	+	0.816868i	$0.695708\pi$
$338$	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
$343$	12.3086	+	13.8383i	0.664600	+	0.747199i
$344$			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	0.289105	−	0.957297i	$-0.406642\pi$
$347$	19.5569	−	5.74243i	1.04987	−	0.308270i	0.760765	+	0.649028i	$0.224824\pi$
$348$	6.79365	−	5.88673i	0.364178	−	0.315562i
$349$	−0.314465	−	0.489316i	−0.0168329	−	0.0261925i	0.832735	−	0.553672i	$-0.186774\pi$
$349$	−0.314465	−	0.489316i	−0.0168329	−	0.0261925i	−0.849568	+	0.527479i	$0.823137\pi$
$350$	3.05611	−	12.8393i	0.163356	−	0.686289i
$351$	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	$-0.300155\pi$
$353$	−2.44400	−	2.11774i	−0.130081	−	0.112716i	−0.717472	+	0.696588i	$0.754701\pi$
$354$	−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
$357$	−5.11162	+	6.55806i	−0.270535	+	0.347089i
$358$	−6.30057	−	13.7963i	−0.332995	−	0.729158i
$359$	−11.3770	−	1.63577i	−0.600458	−	0.0863328i	−0.164618	−	0.986357i	$-0.552639\pi$
$359$	−11.3770	−	1.63577i	−0.600458	−	0.0863328i	−0.435839	+	0.900025i	$0.643548\pi$
$360$	−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
$364$	0.415328	+	2.10593i	0.0217691	+	0.110380i
$365$	−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	$-0.748575\pi$
$367$	−26.9709			−1.40787			−0.703934	+	0.710266i	$0.748575\pi$
$368$	−0.944777	−	4.70185i	−0.0492499	−	0.245101i
$369$			10.9595i			0.570529i
$370$	0.212322	+	0.723104i	0.0110381	+	0.0375924i
$371$	16.4241	−	5.76402i	0.852698	−	0.299253i
$372$	−6.54297	+	4.20491i	−0.339237	+	0.218014i
$373$	−9.85540	+	1.41699i	−0.510293	+	0.0733691i	−0.392652	−	0.919687i	$-0.628442\pi$
$373$	−9.85540	+	1.41699i	−0.510293	+	0.0733691i	−0.117641	+	0.993056i	$0.537533\pi$
$374$	−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
$378$	2.64219	−	0.137306i	0.135899	−	0.00706225i
$379$	−2.11854	+	7.21507i	−0.108822	+	0.370613i	−0.995840	−	0.0911219i	$-0.970955\pi$
$379$	−2.11854	+	7.21507i	−0.108822	+	0.370613i	0.887018	+	0.461735i	$0.152773\pi$
$380$	−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	$-0.898776\pi$
$383$	−9.88685	+	11.4100i	−0.505194	+	0.583025i	0.444667	+	0.895696i	$0.353322\pi$
$384$	−0.909632	−	0.415415i	−0.0464195	−	0.0211991i
$385$	0.498154	−	0.357987i	0.0253883	−	0.0182447i
$386$	−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	−0.960796	−	0.277258i	$-0.910574\pi$
$389$	−5.96465	−	20.3137i	−0.302420	−	1.02995i	0.658376	−	0.752689i	$-0.271244\pi$
$390$	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	$-0.881100\pi$
$397$	−4.23088	+	6.58338i	−0.212342	+	0.330410i	0.718702	+	0.695319i	$0.244737\pi$
$398$	−6.19865	+	13.5731i	−0.310710	+	0.680360i
$399$	6.53866	+	12.5498i	0.327342	+	0.628276i
$400$	0.709920	−	4.93760i	0.0354960	−	0.246880i
$401$	20.7444	−	9.47366i	1.03593	−	0.473092i	0.176473	−	0.984305i	$-0.443531\pi$
$401$	20.7444	−	9.47366i	1.03593	−	0.473092i	0.859454	+	0.511213i	$0.170804\pi$
$402$	−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
$406$	−21.0923	+	10.9894i	−1.04679	+	0.545396i
$407$	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	$-0.807369\pi$
$409$	−29.3492	+	4.21977i	−1.45122	+	0.208654i	−0.628816	+	0.777554i	$0.716460\pi$
$410$	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	0.887151	+	0.461479i	$0.152681\pi$
$419$	3.39690	+	23.6260i	0.165950	+	1.15420i	−0.721201	+	0.692726i	$0.756410\pi$
$420$	0.231656	−	0.166475i	0.0113037	−	0.00812313i
$421$	−30.0395	−	13.7186i	−1.46404	−	0.668603i	−0.485417	−	0.874283i	$-0.661332\pi$
$421$	−30.0395	−	13.7186i	−1.46404	−	0.668603i	−0.978619	+	0.205680i	$0.934059\pi$
$422$	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
$427$	−0.105575	−	2.03160i	−0.00510916	−	0.0983158i
$428$	−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	−0.930186	−	0.367088i	$-0.880355\pi$
$431$	−4.35676	+	6.77924i	−0.209858	+	0.326545i	0.720329	+	0.693633i	$0.243991\pi$
$432$	0.989821	−	0.142315i	0.0476228	−	0.00684713i
$433$	18.5693	−	11.9337i	0.892381	−	0.573499i	−0.0121403	−	0.999926i	$-0.503864\pi$
$433$	18.5693	−	11.9337i	0.892381	−	0.573499i	0.904522	+	0.426428i	$0.140228\pi$
$434$	19.4167	−	6.81425i	0.932031	−	0.327095i
$435$	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	$-0.0604077\pi$
$439$	1.12955	+	3.84689i	0.0539104	+	0.183602i	−0.928136	+	0.372241i	$0.878589\pi$
$440$	0.175228	−	0.151836i	0.00835366	−	0.00723848i
$441$	−6.88469	−	1.26532i	−0.327842	−	0.0602534i
$442$	2.52373	−	0.362857i	0.120041	−	0.0172593i
$443$	−5.57411	−	3.58226i	−0.264834	−	0.170198i	0.401484	−	0.915866i	$-0.368494\pi$
$443$	−5.57411	−	3.58226i	−0.264834	−	0.170198i	−0.666318	+	0.745668i	$0.732131\pi$
$444$	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
$448$	2.08675	+	1.62650i	0.0985895	+	0.0768447i
$449$	1.07869	+	0.316733i	0.0509066	+	0.0149475i	0.307087	−	0.951682i	$-0.400646\pi$
$449$	1.07869	+	0.316733i	0.0509066	+	0.0149475i	−0.256180	+	0.966629i	$0.582464\pi$
$450$	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
$455$	−0.225148	−	0.0535913i	−0.0105551	−	0.00251240i
$456$	2.89167	+	4.49952i	0.135415	+	0.210709i
$457$	27.1983	−	23.5675i	1.27228	−	1.10244i	0.282589	−	0.959241i	$-0.408807\pi$
$457$	27.1983	−	23.5675i	1.27228	−	1.10244i	0.989694	−	0.143198i	$-0.0457387\pi$
$458$	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	$-0.291807\pi$
$462$	−5.66595	−	0.516342i	−0.263604	−	0.0240224i
$463$	25.9692	+	29.9701i	1.20689	+	1.39283i	0.896986	+	0.442059i	$0.145752\pi$
$463$	25.9692	+	29.9701i	1.20689	+	1.39283i	0.309905	+	0.950768i	$0.399703\pi$
$464$	−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	$-0.941160\pi$
$467$	−4.32963	+	9.48056i	−0.200351	+	0.438708i	0.782612	+	0.622510i	$0.213887\pi$
$468$	−0.613137	−	0.531287i	−0.0283423	−	0.0245587i
$469$	24.6044	+	14.0640i	1.13612	+	0.649414i
$470$	−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
$476$	5.99290	−	5.76385i	0.274684	−	0.264186i
$477$	−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	$-0.452578\pi$
$479$	24.2858	−	15.6075i	1.10965	−	0.713126i	0.961216	+	0.275797i	$0.0889416\pi$
$480$	0.0814861	−	0.0706081i	0.00371931	−	0.00322280i
$481$	−5.44095	+	1.59761i	−0.248086	+	0.0728447i
$482$	−25.9152			−1.18041
$483$	−6.47806	−	10.9103i	−0.294762	−	0.496436i
$484$	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	−0.207965	−	0.978136i	$-0.566684\pi$
$487$	13.1390	−	8.44395i	0.595387	−	0.382632i	0.803352	+	0.595504i	$0.203048\pi$
$488$	−0.109427	−	0.761081i	−0.00495352	−	0.0344525i
$489$	−9.26092	+	14.4103i	−0.418793	+	0.651655i
$490$	−0.698236	+	0.286556i	−0.0315431	+	0.0129453i
$491$	11.0553	−	12.7585i	0.498918	−	0.575782i	−0.449309	−	0.893376i	$-0.648330\pi$
$491$	11.0553	−	12.7585i	0.498918	−	0.575782i	0.948226	+	0.317595i	$0.102875\pi$
$492$	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
$497$	−2.12888	+	3.72439i	−0.0954932	+	0.167062i
$498$	−5.20288	−	4.50832i	−0.233146	−	0.202023i
$499$	−2.62586	+	5.74984i	−0.117550	+	0.257398i	−0.959256	−	0.282537i	$-0.908824\pi$
$499$	−2.62586	+	5.74984i	−0.117550	+	0.257398i	0.841707	+	0.539935i	$0.181551\pi$
$500$	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	$-0.189632\pi$
$503$	3.46540	+	3.99928i	0.154514	+	0.178319i	−0.673215	+	0.739447i	$0.735087\pi$
$504$	−2.63483	−	0.240114i	−0.117365	−	0.0106955i
$505$			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	$-0.873866\pi$
$509$	−15.1555	+	13.1323i	−0.671755	+	0.582079i	0.250756	+	0.968050i	$0.419321\pi$
$510$	−0.183198	−	0.285061i	−0.00811212	−	0.0126227i
$511$	−20.3893	−	4.85321i	−0.901969	−	0.214693i
$512$	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
$518$	−11.3686	+	14.5856i	−0.499507	+	0.640853i
$519$	−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	$-0.826700\pi$
$521$	−5.04471	+	5.82190i	−0.221013	+	0.255062i	0.634405	+	0.773001i	$0.281245\pi$
$522$	3.73429	−	8.17695i	0.163445	−	0.357895i
$523$	−14.1051	−	9.06479i	−0.616772	−	0.396376i	0.194619	−	0.980879i	$-0.437653\pi$
$523$	−14.1051	−	9.06479i	−0.616772	−	0.396376i	−0.811391	+	0.584503i	$0.801289\pi$
$524$	−20.9246	+	3.00851i	−0.914097	+	0.131427i
$525$	−2.55370	−	12.9486i	−0.111453	−	0.565122i
$526$	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
$532$	−4.68608	−	13.3526i	−0.203167	−	0.578909i
$533$	−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
$539$	14.2669	+	4.80020i	0.614520	+	0.206759i
$540$	−0.0303768	+	0.103454i	−0.00130721	+	0.00445195i
$541$	−25.1273	−	7.37805i	−1.08031	−	0.317207i	−0.307306	−	0.951611i	$-0.599428\pi$
$541$	−25.1273	−	7.37805i	−1.08031	−	0.317207i	−0.773002	+	0.634404i	$0.781246\pi$
$542$	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
$546$	1.25263	+	1.74308i	0.0536076	+	0.0745971i
$547$	−2.34122	−	16.2836i	−0.100104	−	0.696235i	−0.976637	−	0.214895i	$-0.931059\pi$
$547$	−2.34122	−	16.2836i	−0.100104	−	0.696235i	0.876534	−	0.481340i	$-0.159850\pi$
$548$	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	−0.906999	−	0.421132i	$-0.861633\pi$
$557$	−39.1447	+	5.62815i	−1.65861	+	0.238472i	−0.751613	+	0.659604i	$0.770724\pi$
$558$	−4.20491	+	6.54297i	−0.178008	+	0.276986i
$559$	1.73892	−	3.80771i	0.0735485	−	0.161049i
$560$	−0.252990	+	0.131812i	−0.0106908	+	0.00557007i
$561$	−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	$-0.294800\pi$
$563$	15.9998	+	4.69798i	0.674313	+	0.197996i	0.0733904	+	0.997303i	$0.476618\pi$
$564$	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
$567$	2.34638	−	1.22250i	0.0985386	−	0.0513402i
$568$	−0.673565	+	1.47490i	−0.0282622	+	0.0618855i
$569$	10.3660	−	16.1298i	0.434564	−	0.676194i	−0.553041	−	0.833154i	$-0.686533\pi$
$569$	10.3660	−	16.1298i	0.434564	−	0.676194i	0.987605	+	0.156959i	$0.0501692\pi$
$570$	−0.570823	+	0.0820719i	−0.0239091	+	0.00343762i
$571$	16.3778	+	25.4843i	0.685388	+	1.06648i	0.993355	+	0.115087i	$0.0367148\pi$
$571$	16.3778	+	25.4843i	0.685388	+	1.06648i	−0.307968	+	0.951397i	$0.599649\pi$
$572$	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	−0.978892	−	0.204376i	$-0.934483\pi$
$577$	−6.38690	−	21.7518i	−0.265890	−	0.905538i	0.713002	−	0.701162i	$-0.247335\pi$
$578$	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
$581$	10.6294	+	14.7912i	0.440981	+	0.613643i
$582$	−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	$-0.867152\pi$
$587$	1.79348	−	6.10803i	0.0740248	−	0.252105i	0.988189	+	0.153238i	$0.0489702\pi$
$588$	6.63454	+	2.23223i	0.273604	+	0.0920558i
$589$	−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	$-0.328429\pi$
$593$	30.3802	−	4.36801i	1.24756	−	0.179373i	0.734280	+	0.678846i	$0.237520\pi$
$594$	1.80903	−	1.16260i	0.0742255	−	0.0477019i
$595$	0.296880	+	0.845937i	0.0121709	+	0.0346800i
$596$	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	$-0.504620\pi$
$601$	23.8568	−	20.6720i	0.973138	−	0.843229i	0.987652	+	0.156666i	$0.0500745\pi$
$602$	−2.64137	−	13.3931i	−0.107654	−	0.545862i
$603$	−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	$-0.640240\pi$
$607$	−26.8665	−	3.86282i	−1.09048	−	0.156787i	−0.664016	+	0.747718i	$0.731149\pi$
$608$	−2.22188	−	4.86525i	−0.0901093	−	0.197312i
$609$	−14.6210	+	18.7584i	−0.592474	+	0.760128i
$610$	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	0.424178	−	0.905579i	$-0.360563\pi$
$613$	−10.1961	−	8.83498i	−0.411817	−	0.356842i	−0.835995	+	0.548737i	$0.815109\pi$
$614$	26.8582	+	12.2657i	1.08391	+	0.495004i
$615$	0.994084	+	0.638859i	0.0400853	+	0.0257613i
$616$	5.53480	+	1.31743i	0.223003	+	0.0530810i
$617$	−4.44720	−	6.91997i	−0.179037	−	0.278588i	0.740123	−	0.672472i	$-0.234767\pi$
$617$	−4.44720	−	6.91997i	−0.179037	−	0.278588i	−0.919160	+	0.393884i	$0.871131\pi$
$618$	−13.2258	+	11.4602i	−0.532018	+	0.460997i
$619$	−42.7430	+	12.5505i	−1.71799	+	0.504446i	−0.984519	−	0.175279i	$-0.943917\pi$
$619$	−42.7430	+	12.5505i	−1.71799	+	0.504446i	−0.733467	+	0.679725i	$0.762099\pi$
$620$			0.838597i			0.0336789i
$621$	4.46623	+	1.74721i	0.179224	+	0.0701133i
$622$			20.9225i			0.838915i
$623$	36.3488	+	3.31249i	1.45629	+	0.132712i
$624$	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
$630$	0.141566	−	0.247664i	0.00564012	−	0.00986717i
$631$	−9.90074	+	4.52152i	−0.394142	+	0.179999i	−0.602620	−	0.798028i	$-0.705876\pi$
$631$	−9.90074	+	4.52152i	−0.394142	+	0.179999i	0.208477	+	0.978027i	$0.433149\pi$
$632$	−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
$637$	−2.15618	−	5.25384i	−0.0854308	−	0.208165i
$638$	−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	−0.462806	−	0.886459i	$-0.653157\pi$
$641$	8.83005	−	7.65129i	0.348766	−	0.302208i	0.811572	+	0.584252i	$0.198612\pi$
$642$	−10.2701	+	3.01558i	−0.405330	+	0.119016i
$643$	−13.5990			−0.536291			−0.268146	−	0.963378i	$-0.586411\pi$
$643$	−13.5990			−0.536291			−0.268146	+	0.963378i	$0.586411\pi$
$644$	4.85943	+	11.7212i	0.191488	+	0.461879i
$645$	−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	$-0.801067\pi$
$647$	−8.83349	+	7.65427i	−0.347280	+	0.300920i	0.463701	+	0.885992i	$0.346521\pi$
$648$	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
$651$	14.8313	−	14.2644i	0.581284	−	0.559068i
$652$	11.2175	−	12.9456i	0.439309	−	0.506990i
$653$	−3.80423	+	26.4590i	−0.148871	+	1.03542i	0.769201	+	0.639007i	$0.220655\pi$
$653$	−3.80423	+	26.4590i	−0.148871	+	1.03542i	−0.918072	+	0.396414i	$0.870255\pi$
$654$	−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
$658$	−11.9303	−	6.81943i	−0.465093	−	0.265849i
$659$	7.97209	+	6.90786i	0.310549	+	0.269092i	0.796164	−	0.605080i	$-0.206859\pi$
$659$	7.97209	+	6.90786i	0.310549	+	0.269092i	−0.485616	+	0.874172i	$0.661405\pi$
$660$	0.0963180	−	0.210907i	0.00374917	−	0.00820954i
$661$	−12.2940	−	7.90088i	−0.478182	−	0.307309i	0.279255	−	0.960217i	$-0.409912\pi$
$661$	−12.2940	−	7.90088i	−0.478182	−	0.307309i	−0.757437	+	0.652908i	$0.773549\pi$
$662$	−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
$665$	1.51949	+	0.138472i	0.0589233	+	0.00536971i
$666$		−	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
$672$	2.57384	+	0.612646i	0.0992881	+	0.0236333i
$673$	−13.1440	−	8.44714i	−0.506664	−	0.325613i	0.262213	−	0.965010i	$-0.415548\pi$
$673$	−13.1440	−	8.44714i	−0.506664	−	0.325613i	−0.768877	+	0.639397i	$0.779184\pi$
$674$	−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	$-0.0847933\pi$
$677$	3.48703	+	7.63552i	0.134017	+	0.293457i	−0.830711	+	0.556703i	$0.812066\pi$
$678$	−16.3647	−	4.80510i	−0.628481	−	0.184539i
$679$	7.32826	+	5.71194i	0.281233	+	0.219204i
$680$	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	0.226143	+	0.974094i	$0.427388\pi$
$683$	−17.1995	+	37.6616i	−0.658120	+	1.44108i	−0.884263	+	0.466989i	$0.845339\pi$
$684$	4.49952	+	2.89167i	0.172043	+	0.110566i
$685$	−0.809300	+	0.116360i	−0.0309217	+	0.00444588i
$686$	−15.7087	−	9.81004i	−0.599761	−	0.374549i
$687$	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
$693$	−5.36843	+	1.88404i	−0.203930	+	0.0715688i
$694$	−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
$700$	0.684933	+	13.1802i	0.0258880	+	0.498165i
$701$	−4.01840	+	13.6854i	−0.151773	+	0.516891i	−0.999917	−	0.0128741i	$-0.995902\pi$
$701$	−4.01840	+	13.6854i	−0.151773	+	0.516891i	0.848144	+	0.529766i	$0.177720\pi$
$702$	−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
$707$	−17.2634	+	12.4060i	−0.649259	+	0.466575i
$708$	−0.185859	−	1.29268i	−0.00698502	−	0.0485819i
$709$	21.3356	+	33.1989i	0.801277	+	1.24681i	0.965504	+	0.260389i	$0.0838507\pi$
$709$	21.3356	+	33.1989i	0.801277	+	1.24681i	−0.164227	+	0.986423i	$0.552513\pi$
$710$	−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	$-0.911451\pi$
$719$	−8.37449	+	13.0310i	−0.312316	+	0.485973i	0.649239	+	0.760584i	$0.275087\pi$
$720$	0.0447907	−	0.0980779i	0.00166925	−	0.00365515i
$721$	41.0621	−	21.3940i	1.52923	−	0.796755i
$722$	−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	0.795348	+	0.606153i	$0.207288\pi$
$727$	−3.73587	+	25.9836i	−0.138556	+	0.963677i	−0.933904	+	0.357524i	$0.883621\pi$
$728$	−0.991812	−	1.90361i	−0.0367590	−	0.0705525i
$729$	−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	$-0.200698\pi$
$733$	2.95699	+	3.41255i	0.109219	+	0.126045i	−0.698508	+	0.715602i	$0.746152\pi$
$734$	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	0.532011	−	0.846738i	$-0.321437\pi$
$739$	−10.3796	−	11.9788i	−0.381822	−	0.440646i	−0.913832	+	0.406092i	$0.866891\pi$
$740$	−0.407444	−	0.633995i	−0.0149779	−	0.0233061i
$741$	−0.617546	−	4.29513i	−0.0226861	−	0.157785i
$742$	−14.1349	+	10.1577i	−0.518909	+	0.372902i
$743$	38.2330	+	17.4604i	1.40263	+	0.640561i	0.965873	−	0.259017i	$-0.0833987\pi$
$743$	38.2330	+	17.4604i	1.40263	+	0.640561i	0.436760	+	0.899578i	$0.356126\pi$
$744$	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
$749$	28.2812	−	1.46968i	1.03337	−	0.0537010i
$750$	1.06600	+	0.153268i	0.0389248	+	0.00559654i
$751$	17.5282	+	15.1883i	0.639613	+	0.554228i	0.913145	−	0.407635i	$-0.133646\pi$
$751$	17.5282	+	15.1883i	0.639613	+	0.554228i	−0.273532	+	0.961863i	$0.588192\pi$
$752$	−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
$756$	−2.49648	+	0.876134i	−0.0907959	+	0.0318647i
$757$	−7.54179	−	25.6850i	−0.274111	−	0.933536i	−0.975360	−	0.220620i	$-0.929192\pi$
$757$	−7.54179	−	25.6850i	−0.274111	−	0.933536i	0.701249	−	0.712917i	$-0.252626\pi$
$758$		−	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	−0.879305	−	0.476259i	$-0.841993\pi$
$761$	−10.9537	−	37.3049i	−0.397072	−	1.35230i	0.482234	−	0.876043i	$-0.339826\pi$
$762$	−4.58357	+	3.97169i	−0.166045	+	0.143879i
$763$	4.17150	+	21.1517i	0.151018	+	0.765741i
$764$	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	$-0.138354\pi$
$769$	−0.144058	−	0.315444i	−0.00519487	−	0.0113752i	−0.912212	+	0.409719i	$0.865627\pi$
$770$	−0.377118	+	0.483832i	−0.0135904	+	0.0174361i
$771$	−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	0.850111	+	0.526603i	$0.176535\pi$
$773$	−3.16747	+	22.0302i	−0.113926	+	0.792371i	−0.964037	+	0.265768i	$0.914374\pi$
$774$	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
$777$	−4.28216	+	17.9902i	−0.153622	+	0.645394i
$778$	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
$784$	−6.24933	−	3.15371i	−0.223190	−	0.112632i
$785$	−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	0.957716	+	0.287715i	$0.0928956\pi$
$787$	3.36230	+	23.3853i	0.119853	+	0.833596i	−0.837863	+	0.545880i	$0.816195\pi$
$788$	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
$791$	39.1763	+	22.3933i	1.39295	+	0.796215i
$792$	−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	$-0.815772\pi$
$797$	−4.98486	+	5.75284i	−0.176573	+	0.203776i	0.660564	+	0.750770i	$0.270317\pi$
$798$	−9.80949	−	10.1993i	−0.347252	−	0.361051i
$799$	−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
$805$	−1.36725	−	0.0483968i	−0.0481891	−	0.00170576i
$806$	−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	−0.975393	−	0.220472i	$-0.929240\pi$
$809$	−33.5637	+	21.5701i	−1.18004	+	0.758364i	−0.204645	+	0.978836i	$0.565604\pi$
$810$	0.0153446	+	0.106724i	0.000539154	+	0.00374990i
$811$	27.3927	−	42.6239i	0.961889	−	1.49673i	0.0966804	−	0.995315i	$-0.469178\pi$
$811$	27.3927	−	42.6239i	0.961889	−	1.49673i	0.865208	−	0.501413i	$-0.167186\pi$
$812$	17.1418	−	16.4867i	0.601560	−	0.578568i
$813$	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
$819$	1.86353	+	1.06520i	0.0651172	+	0.0372212i
$820$	−0.893046	−	0.773829i	−0.0311865	−	0.0270233i
$821$	1.00890	−	2.20918i	0.0352108	−	0.0771009i	−0.891209	−	0.453592i	$-0.850142\pi$
$821$	1.00890	−	2.20918i	0.0352108	−	0.0771009i	0.926420	+	0.376491i	$0.122870\pi$
$822$	6.37931	+	4.09974i	0.222504	+	0.142995i
$823$	−6.06186	−	42.1612i	−0.211303	−	1.46965i	−0.768812	−	0.639475i	$-0.779152\pi$
$823$	−6.06186	−	42.1612i	−0.211303	−	1.46965i	0.557508	−	0.830171i	$-0.311758\pi$
$824$	14.7221	−	9.46132i	0.512869	−	0.329601i
$825$	−7.02470	−	8.10693i	−0.244569	−	0.282247i
$826$	−0.313582	+	3.44102i	−0.0109109	+	0.119728i
$827$		−	33.5834i		−	1.16781i	−0.811822	−	0.583905i	$-0.801524\pi$
$827$		−	33.5834i		−	1.16781i	0.811822	−	0.583905i	$-0.198476\pi$
$828$	−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
$833$	−12.6054	+	18.0295i	−0.436750	+	0.624684i
$834$	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	$-0.519921\pi$
$839$	−18.9648	−	5.56857i	−0.654738	−	0.192248i	−0.592196	+	0.805794i	$0.701739\pi$
$840$	−0.175371	+	0.224996i	−0.00605088	+	0.00776311i
$841$	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
$847$	−16.5499	+	3.26395i	−0.568662	+	0.112151i
$848$	−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	$-0.0525530\pi$
$853$	1.97822	+	6.73720i	0.0677330	+	0.230677i	−0.918669	+	0.395028i	$0.870735\pi$
$854$	0.673666	+	1.91956i	0.0230524	+	0.0656859i
$855$	−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	$-0.789530\pi$
$857$	2.84539	−	4.42751i	0.0971965	−	0.151241i	0.886446	+	0.462832i	$0.153167\pi$
$858$	1.58696	+	0.724739i	0.0541778	+	0.0247422i
$859$	−10.8097	−	9.36663i	−0.368821	−	0.319585i	0.450655	−	0.892698i	$-0.351190\pi$
$859$	−10.8097	−	9.36663i	−0.368821	−	0.319585i	−0.819477	+	0.573113i	$0.805736\pi$
$860$	0.550656	+	0.0791723i	0.0187772	+	0.00269975i
$861$	1.50480	+	28.9570i	0.0512836	+	0.986853i
$862$	2.27034	−	7.73208i	0.0773282	−	0.263356i
$863$	5.98410	+	1.75709i	0.203701	+	0.0598120i	0.381991	−	0.924166i	$-0.375238\pi$
$863$	5.98410	+	1.75709i	0.203701	+	0.0598120i	−0.178290	+	0.983978i	$0.557057\pi$
$864$	−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
$868$	−16.7104	+	12.0085i	−0.567187	+	0.407596i
$869$	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	0.547294	−	0.836941i	$-0.315658\pi$
$877$	−10.6320	−	12.2699i	−0.359016	−	0.414327i	−0.906310	+	0.422614i	$0.861113\pi$
$878$	−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	0.413186	+	0.910647i	$0.364416\pi$
$881$	−16.1947	+	35.4615i	−0.545614	+	1.19473i	−0.958800	+	0.284081i	$0.908311\pi$
$882$	6.96229	−	0.725575i	0.234433	−	0.0244314i
$883$	−5.39109	+	37.4959i	−0.181425	+	1.26184i	0.671973	+	0.740576i	$0.265447\pi$
$883$	−5.39109	+	37.4959i	−0.181425	+	1.26184i	−0.853397	+	0.521261i	$0.825462\pi$
$884$	−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	$-0.790877\pi$
$887$	−25.2802	+	11.5451i	−0.848828	+	0.387647i	−0.0569874	+	0.998375i	$0.518150\pi$
$888$	−0.994726	+	6.91847i	−0.0333808	+	0.232169i
$889$	14.2306	−	7.41439i	0.477280	−	0.248671i
$890$	−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
$903$	−7.96637	−	11.0855i	−0.265104	−	0.368903i
$904$	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	−0.0718739	−	0.997414i	$-0.522898\pi$
$907$	19.1195	−	8.73160i	0.634854	−	0.289928i	0.706728	+	0.707486i	$0.250171\pi$
$908$	22.3846	+	6.57271i	0.742859	+	0.218123i
$909$	2.26374	−	7.70958i	0.0750835	−	0.255711i
$910$	0.231126	−	0.0120109i	0.00766175	−	0.000398156i
$911$	−22.4069	−	3.22163i	−0.742375	−	0.106737i	−0.239258	−	0.970956i	$-0.576904\pi$
$911$	−22.4069	−	3.22163i	−0.742375	−	0.106737i	−0.503116	+	0.864219i	$0.667813\pi$
$912$	−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
$917$	52.7750	−	18.5213i	1.74278	−	0.611627i
$918$	0.885406	+	3.01542i	0.0292228	+	0.0995236i
$919$			37.1737i			1.22625i	0.789986	+	0.613124i	$0.210088\pi$
$919$			37.1737i			1.22625i	−0.789986	+	0.613124i	$0.789912\pi$
$920$	−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
$924$	5.58191	−	1.10086i	0.183631	−	0.0362155i
$925$	−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	$-0.375039\pi$
$929$	14.9150	+	2.14446i	0.489346	+	0.0703573i	0.106775	+	0.994283i	$0.465948\pi$
$930$	0.348366	+	0.762814i	0.0114234	+	0.0250137i
$931$	18.9995	+	32.2611i	0.622684	+	1.05732i
$932$	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	$-0.154650\pi$
$937$	25.3106	+	16.2662i	0.826863	+	0.531392i	−0.0574169	+	0.998350i	$0.518286\pi$
$938$	−27.5700	−	6.56242i	−0.900192	−	0.214271i
$939$	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	$-0.706308\pi$
$941$	−20.8767	+	6.12995i	−0.680560	+	0.199831i	−0.0768601	+	0.997042i	$0.524489\pi$
$942$			5.45026i			0.177579i
$943$	−37.7518	+	36.5698i	−1.22937	+	1.19088i
$944$			1.30597i			0.0425058i
$945$	0.0258894	−	0.284092i	0.000842184	−	0.00924150i
$946$	−7.26585	−	8.38524i	−0.236233	−	0.272628i
$947$	−15.7891	+	10.1470i	−0.513075	+	0.329734i	−0.771427	−	0.636317i	$-0.780457\pi$
$947$	−15.7891	+	10.1470i	−0.513075	+	0.329734i	0.258352	+	0.966051i	$0.416821\pi$
$948$	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
$952$	−4.12628	+	7.21877i	−0.133733	+	0.233962i
$953$	0.469808	−	0.214554i	0.0152186	−	0.00695009i	−0.407791	−	0.913075i	$-0.633701\pi$
$953$	0.469808	−	0.214554i	0.0152186	−	0.00695009i	0.423010	+	0.906125i	$0.360974\pi$
$954$	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
$959$	−13.9077	−	14.4603i	−0.449102	−	0.466949i
$960$	−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
$966$	9.28944	+	8.64328i	0.298883	+	0.278093i
$967$	−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	$-0.0798805\pi$
$971$	−0.957369	−	6.65865i	−0.0307234	−	0.213686i	−0.999400	+	0.0346403i	$0.988971\pi$
$972$	0.540641	−	0.841254i	0.0173411	−	0.0269832i
$973$	−27.2589	−	28.3422i	−0.873881	−	0.908608i
$974$	−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	−0.927742	−	0.373223i	$-0.878253\pi$
$977$	1.70363	−	5.80202i	0.0545038	−	0.185623i	0.982246	+	0.187600i	$0.0600708\pi$
$978$	4.82595	−	16.4357i	0.154317	−	0.525555i
$979$	26.9850	−	12.3237i	0.862445	−	0.393866i
$980$	0.589221	−	0.471664i	0.0188220	−	0.0150668i
$981$	−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	$-0.245971\pi$
$983$	11.8647	+	7.62495i	0.378424	+	0.243198i	−0.337577	+	0.941298i	$0.609607\pi$
$984$	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
$987$	−13.6851	−	1.24713i	−0.435602	−	0.0396967i
$988$			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	0.535761	−	0.844370i	$-0.320025\pi$
$991$	45.4250	−	13.3380i	1.44297	−	0.423695i	0.907212	+	0.420674i	$0.138207\pi$
$992$	−5.87795	+	5.09327i	−0.186625	+	0.161711i
$993$	−16.7878	−	26.1224i	−0.532745	−	0.828968i
$994$	0.993361	−	4.17330i	0.0315075	−	0.132369i
$995$	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	$-0.538720\pi$
$997$	−35.3996	−	30.6740i	−1.12112	−	0.971454i	−0.999776	+	0.0211567i	$0.993265\pi$
$998$	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.727.4	yes	160
7.6	odd	2	inner	966.2.s.a.727.13	yes	160
23.5	odd	22	inner	966.2.s.a.97.13	yes	160
161.97	even	22	inner	966.2.s.a.97.4	✓	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.a.97.4	✓	160	161.97	even	22	inner
966.2.s.a.97.13	yes	160	23.5	odd	22	inner
966.2.s.a.727.4	yes	160	1.1	even	1	trivial
966.2.s.a.727.13	yes	160	7.6	odd	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.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 + 0.281733i) q^{2} +(-0.755750 + 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.0153446 + 0.106724i) q^{5} +(0.540641 - 0.841254i) q^{6} +(-1.90691 + 1.83403i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(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} +(-1.90691 + 1.83403i) 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} +(1.31296 - 2.29698i) 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} +(0.240114 - 2.63483i) 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} +(-0.612646 + 2.57384i) 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} +(-0.224996 - 0.175371i) 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} +(0.511931 + 2.59575i) 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} +(0.272648 - 6.99469i) 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} +(-0.137306 - 2.64219i) 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} +(1.54398 + 2.14852i) 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} +(-2.62887 - 5.04566i) 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} +(-1.22250 - 2.34638i) 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} +(1.70903 + 6.78817i) 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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