LMFDB - Embedded newform 322.2.k.a.97.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(83,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 21]))

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

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

chi := DirichletCharacter("322.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.k (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:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			97.5
Character	$\chi$	$=$	322.97
Dual form			322.2.k.a.83.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 - 0.281733i) q^{2} +(0.198408 + 0.171921i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.382697 - 2.66172i) q^{5} +(-0.141935 - 0.220855i) q^{6} +(2.47792 + 0.927322i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.417136 - 2.90124i) q^{9} +O(q^{10})$	\(q+(-0.959493 - 0.281733i) q^{2} +(0.198408 + 0.171921i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.382697 - 2.66172i) q^{5} +(-0.141935 - 0.220855i) q^{6} +(2.47792 + 0.927322i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.417136 - 2.90124i) q^{9} +(-1.11709 + 2.44608i) q^{10} +(1.12031 + 3.81543i) q^{11} +(0.0739636 + 0.251897i) q^{12} +(-4.25037 - 1.94108i) q^{13} +(-2.11629 - 1.58787i) q^{14} +(0.533536 - 0.462311i) q^{15} +(0.415415 + 0.909632i) q^{16} +(5.41011 - 3.47687i) q^{17} +(-0.417136 + 2.90124i) q^{18} +(-5.37679 - 3.45545i) q^{19} +(1.76098 - 2.03228i) q^{20} +(0.332212 + 0.609995i) q^{21} -3.97651i q^{22} +(4.50797 + 1.63652i) q^{23} -0.262531i q^{24} +(-2.14081 - 0.628598i) q^{25} +(3.53133 + 3.05992i) q^{26} +(0.841828 - 1.30991i) q^{27} +(1.58321 + 2.11978i) q^{28} +(8.32130 - 5.34778i) q^{29} +(-0.642172 + 0.293270i) q^{30} +(-0.278537 + 0.241353i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-0.433676 + 0.949617i) q^{33} +(-6.17051 + 1.81182i) q^{34} +(3.41656 - 6.24063i) q^{35} +(1.21761 - 2.66620i) q^{36} +(-5.74235 + 0.825626i) q^{37} +(4.18548 + 4.83030i) q^{38} +(-0.509594 - 1.11585i) q^{39} +(-2.26220 + 1.45383i) q^{40} +(-0.832896 - 0.119752i) q^{41} +(-0.146899 - 0.678880i) q^{42} +(1.45506 + 1.26082i) q^{43} +(-1.12031 + 3.81543i) q^{44} -7.88192 q^{45} +(-3.86430 - 2.84028i) q^{46} -1.02559i q^{47} +(-0.0739636 + 0.251897i) q^{48} +(5.28015 + 4.59565i) q^{49} +(1.87699 + 1.20627i) q^{50} +(1.67116 + 0.240276i) q^{51} +(-2.52621 - 3.93086i) q^{52} +(-8.17174 + 3.73191i) q^{53} +(-1.17677 + 1.01968i) q^{54} +(10.5843 - 1.52180i) q^{55} +(-0.921868 - 2.47995i) q^{56} +(-0.472731 - 1.60997i) q^{57} +(-9.49087 + 2.78677i) q^{58} +(-1.80605 - 0.824797i) q^{59} +(0.698783 - 0.100470i) q^{60} +(4.61116 + 5.32157i) q^{61} +(0.335251 - 0.153104i) q^{62} +(1.65676 - 7.57586i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-6.79320 + 10.5704i) q^{65} +(0.683647 - 0.788970i) q^{66} +(-1.06118 + 3.61405i) q^{67} +6.43101 q^{68} +(0.613063 + 1.09972i) q^{69} +(-5.03635 + 5.02528i) q^{70} +(1.23490 + 0.362599i) q^{71} +(-1.91945 + 2.21516i) q^{72} +(-7.80294 + 12.1416i) q^{73} +(5.74235 + 0.825626i) q^{74} +(-0.316684 - 0.492769i) q^{75} +(-2.65509 - 5.81383i) q^{76} +(-0.762093 + 10.4932i) q^{77} +(0.174579 + 1.21422i) q^{78} +(1.00899 + 0.460788i) q^{79} +(2.58016 - 0.757603i) q^{80} +(-8.04482 + 2.36217i) q^{81} +(0.765420 + 0.349556i) q^{82} +(2.11904 + 14.7383i) q^{83} +(-0.0503137 + 0.692767i) q^{84} +(-7.18400 - 15.7308i) q^{85} +(-1.04091 - 1.61968i) q^{86} +(2.57041 + 0.369569i) q^{87} +(2.14986 - 3.34525i) q^{88} +(2.64879 - 3.05687i) q^{89} +(7.56265 + 2.22059i) q^{90} +(-8.73206 - 8.75129i) q^{91} +(2.90757 + 3.81392i) q^{92} -0.0967576 q^{93} +(-0.288941 + 0.984043i) q^{94} +(-11.2551 + 12.9891i) q^{95} +(0.141935 - 0.220855i) q^{96} +(-2.39658 + 16.6686i) q^{97} +(-3.77152 - 5.89709i) q^{98} +(10.6022 - 4.84185i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{1}{22}\right)$

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
$3$	0.198408	+	0.171921i	0.114551	+	0.0992588i	0.710253	−	0.703947i	$-0.248581\pi$
$3$	0.198408	+	0.171921i	0.114551	+	0.0992588i	−0.595702	+	0.803206i	$0.703126\pi$
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.382697	−	2.66172i	0.171147	−	1.19036i	−0.705318	−	0.708891i	$-0.749196\pi$
$5$	0.382697	−	2.66172i	0.171147	−	1.19036i	0.876466	−	0.481465i	$-0.159895\pi$
$6$	−0.141935	−	0.220855i	−0.0579447	−	0.0901638i
$7$	2.47792	+	0.927322i	0.936565	+	0.350495i
$7$	2.47792	+	0.927322i	0.936565	+	0.350495i
$8$	−0.654861	−	0.755750i	−0.231528	−	0.267198i
$9$	−0.417136	−	2.90124i	−0.139045	−	0.967081i
$10$	−1.11709	+	2.44608i	−0.353254	+	0.773518i
$11$	1.12031	+	3.81543i	0.337787	+	1.15040i	0.936861	+	0.349703i	$0.113717\pi$
$11$	1.12031	+	3.81543i	0.337787	+	1.15040i	−0.599074	+	0.800694i	$0.704464\pi$
$12$	0.0739636	+	0.251897i	0.0213514	+	0.0727163i
$13$	−4.25037	−	1.94108i	−1.17884	−	0.538358i	−0.273015	−	0.962010i	$-0.588021\pi$
$13$	−4.25037	−	1.94108i	−1.17884	−	0.538358i	−0.905825	+	0.423651i	$0.860748\pi$
$14$	−2.11629	−	1.58787i	−0.565602	−	0.424376i
$15$	0.533536	−	0.462311i	0.137758	−	0.119368i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	5.41011	−	3.47687i	1.31214	−	0.843264i	0.317666	−	0.948203i	$-0.397101\pi$
$17$	5.41011	−	3.47687i	1.31214	−	0.843264i	0.994479	+	0.104939i	$0.0334647\pi$
$18$	−0.417136	+	2.90124i	−0.0983199	+	0.683830i
$19$	−5.37679	−	3.45545i	−1.23352	−	0.792736i	−0.249085	−	0.968482i	$-0.580130\pi$
$19$	−5.37679	−	3.45545i	−1.23352	−	0.792736i	−0.984436	+	0.175746i	$0.943766\pi$
$20$	1.76098	−	2.03228i	0.393766	−	0.454431i
$21$	0.332212	+	0.609995i	0.0724945	+	0.133112i
$22$		−	3.97651i		−	0.847795i
$23$	4.50797	+	1.63652i	0.939977	+	0.341239i
$23$	4.50797	+	1.63652i	0.939977	+	0.341239i
$24$		−	0.262531i		−	0.0535889i
$25$	−2.14081	−	0.628598i	−0.428162	−	0.125720i
$26$	3.53133	+	3.05992i	0.692552	+	0.600100i
$27$	0.841828	−	1.30991i	0.162010	−	0.252092i
$28$	1.58321	+	2.11978i	0.299198	+	0.400600i
$29$	8.32130	−	5.34778i	1.54523	−	0.993057i	0.558716	−	0.829359i	$-0.311294\pi$
$29$	8.32130	−	5.34778i	1.54523	−	0.993057i	0.986510	−	0.163698i	$-0.0523424\pi$
$30$	−0.642172	+	0.293270i	−0.117244	+	0.0535435i
$31$	−0.278537	+	0.241353i	−0.0500266	+	0.0433483i	−0.679515	−	0.733661i	$-0.737810\pi$
$31$	−0.278537	+	0.241353i	−0.0500266	+	0.0433483i	0.629489	+	0.777010i	$0.283264\pi$
$32$	−0.142315	−	0.989821i	−0.0251579	−	0.174977i
$33$	−0.433676	+	0.949617i	−0.0754932	+	0.165307i
$34$	−6.17051	+	1.81182i	−1.05823	+	0.310725i
$35$	3.41656	−	6.24063i	0.577504	−	1.05486i
$36$	1.21761	−	2.66620i	0.202936	−	0.444367i
$37$	−5.74235	+	0.825626i	−0.944037	+	0.135732i	−0.597109	−	0.802160i	$-0.703684\pi$
$37$	−5.74235	+	0.825626i	−0.944037	+	0.135732i	−0.346928	+	0.937892i	$0.612775\pi$
$38$	4.18548	+	4.83030i	0.678975	+	0.783578i
$39$	−0.509594	−	1.11585i	−0.0816003	−	0.178680i
$40$	−2.26220	+	1.45383i	−0.357686	+	0.229871i
$41$	−0.832896	−	0.119752i	−0.130077	−	0.0187022i	0.0769690	−	0.997033i	$-0.475476\pi$
$41$	−0.832896	−	0.119752i	−0.130077	−	0.0187022i	−0.207046	+	0.978331i	$0.566385\pi$
$42$	−0.146899	−	0.678880i	−0.0226671	−	0.104754i
$43$	1.45506	+	1.26082i	0.221894	+	0.192273i	0.758713	−	0.651425i	$-0.225829\pi$
$43$	1.45506	+	1.26082i	0.221894	+	0.192273i	−0.536818	+	0.843698i	$0.680374\pi$
$44$	−1.12031	+	3.81543i	−0.168893	+	0.575198i
$45$	−7.88192			−1.17497
$46$	−3.86430	−	2.84028i	−0.569760	−	0.418776i
$47$		−	1.02559i		−	0.149597i	−0.997199	−	0.0747986i	$-0.976169\pi$
$47$		−	1.02559i		−	0.149597i	0.997199	−	0.0747986i	$-0.0238314\pi$
$48$	−0.0739636	+	0.251897i	−0.0106757	+	0.0363582i
$49$	5.28015	+	4.59565i	0.754307	+	0.656522i
$50$	1.87699	+	1.20627i	0.265447	+	0.170592i
$51$	1.67116	+	0.240276i	0.234009	+	0.0336453i
$52$	−2.52621	−	3.93086i	−0.350323	−	0.545113i
$53$	−8.17174	+	3.73191i	−1.12247	+	0.512617i	−0.888156	−	0.459543i	$-0.848013\pi$
$53$	−8.17174	+	3.73191i	−1.12247	+	0.512617i	−0.234319	+	0.972160i	$0.575286\pi$
$54$	−1.17677	+	1.01968i	−0.160138	+	0.138761i
$55$	10.5843	−	1.52180i	1.42719	−	0.205199i
$56$	−0.921868	−	2.47995i	−0.123190	−	0.331397i
$57$	−0.472731	−	1.60997i	−0.0626148	−	0.213246i
$58$	−9.49087	+	2.78677i	−1.24621	+	0.365921i
$59$	−1.80605	−	0.824797i	−0.235128	−	0.107379i	0.294367	−	0.955692i	$-0.404891\pi$
$59$	−1.80605	−	0.824797i	−0.235128	−	0.107379i	−0.529495	+	0.848313i	$0.677619\pi$
$60$	0.698783	−	0.100470i	0.0902125	−	0.0129706i
$61$	4.61116	+	5.32157i	0.590399	+	0.681357i	0.969807	−	0.243873i	$-0.0784179\pi$
$61$	4.61116	+	5.32157i	0.590399	+	0.681357i	−0.379408	+	0.925229i	$0.623872\pi$
$62$	0.335251	−	0.153104i	0.0425769	−	0.0194442i
$63$	1.65676	−	7.57586i	0.208732	−	0.954469i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−6.79320	+	10.5704i	−0.842593	+	1.31110i
$66$	0.683647	−	0.788970i	0.0841511	−	0.0971155i
$67$	−1.06118	+	3.61405i	−0.129644	+	0.441527i	−0.998573	−	0.0534106i	$-0.982991\pi$
$67$	−1.06118	+	3.61405i	−0.129644	+	0.441527i	0.868929	+	0.494937i	$0.164809\pi$
$68$	6.43101			0.779874
$69$	0.613063	+	1.09972i	0.0738041	+	0.132390i
$70$	−5.03635	+	5.02528i	−0.601959	+	0.600636i
$71$	1.23490	+	0.362599i	0.146556	+	0.0430326i	0.354187	−	0.935174i	$-0.384757\pi$
$71$	1.23490	+	0.362599i	0.146556	+	0.0430326i	−0.207632	+	0.978207i	$0.566576\pi$
$72$	−1.91945	+	2.21516i	−0.226209	+	0.261059i
$73$	−7.80294	+	12.1416i	−0.913265	+	1.42107i	−0.00624517	+	0.999980i	$0.501988\pi$
$73$	−7.80294	+	12.1416i	−0.913265	+	1.42107i	−0.907020	+	0.421088i	$0.861648\pi$
$74$	5.74235	+	0.825626i	0.667535	+	0.0959770i
$75$	−0.316684	−	0.492769i	−0.0365675	−	0.0569001i
$76$	−2.65509	−	5.81383i	−0.304559	−	0.666892i
$77$	−0.762093	+	10.4932i	−0.0868485	+	1.19581i
$78$	0.174579	+	1.21422i	0.0197672	+	0.137484i
$79$	1.00899	+	0.460788i	0.113520	+	0.0518427i	0.471365	−	0.881938i	$-0.343761\pi$
$79$	1.00899	+	0.460788i	0.113520	+	0.0518427i	−0.357846	+	0.933781i	$0.616489\pi$
$80$	2.58016	−	0.757603i	0.288471	−	0.0847026i
$81$	−8.04482	+	2.36217i	−0.893869	+	0.262464i
$82$	0.765420	+	0.349556i	0.0845265	+	0.0386020i
$83$	2.11904	+	14.7383i	0.232595	+	1.61773i	0.686806	+	0.726841i	$0.259012\pi$
$83$	2.11904	+	14.7383i	0.232595	+	1.61773i	−0.454211	+	0.890894i	$0.650079\pi$
$84$	−0.0503137	+	0.692767i	−0.00548968	+	0.0755871i
$85$	−7.18400	−	15.7308i	−0.779214	−	1.70624i
$86$	−1.04091	−	1.61968i	−0.112244	−	0.174655i
$87$	2.57041	+	0.369569i	0.275577	+	0.0396219i
$88$	2.14986	−	3.34525i	0.229176	−	0.356605i
$89$	2.64879	−	3.05687i	0.280772	−	0.324028i	−0.597794	−	0.801650i	$-0.703956\pi$
$89$	2.64879	−	3.05687i	0.280772	−	0.324028i	0.878565	+	0.477622i	$0.158501\pi$
$90$	7.56265	+	2.22059i	0.797173	+	0.234071i
$91$	−8.73206	−	8.75129i	−0.915369	−	0.917385i
$92$	2.90757	+	3.81392i	0.303135	+	0.397629i
$93$	−0.0967576			−0.0100333
$94$	−0.288941	+	0.984043i	−0.0298020	+	0.101496i
$95$	−11.2551	+	12.9891i	−1.15475	+	1.33265i
$96$	0.141935	−	0.220855i	0.0144862	−	0.0225409i
$97$	−2.39658	+	16.6686i	−0.243336	+	1.69244i	0.391809	+	0.920046i	$0.371849\pi$
$97$	−2.39658	+	16.6686i	−0.243336	+	1.69244i	−0.635145	+	0.772393i	$0.719060\pi$
$98$	−3.77152	−	5.89709i	−0.380981	−	0.595696i
$99$	10.6022	−	4.84185i	1.06556	−	0.486624i
$100$	−1.46112	−	1.68622i	−0.146112	−	0.168622i
$101$	5.85430	−	0.841722i	0.582525	−	0.0837544i	0.155248	−	0.987875i	$-0.450382\pi$
$101$	5.85430	−	0.841722i	0.582525	−	0.0837544i	0.427276	+	0.904121i	$0.359473\pi$
$102$	−1.53577	−	0.701362i	−0.152064	−	0.0694452i
$103$	13.8255	−	4.05952i	1.36226	−	0.399997i	0.482703	−	0.875784i	$-0.339655\pi$
$103$	13.8255	−	4.05952i	1.36226	−	0.399997i	0.879560	+	0.475787i	$0.157837\pi$
$104$	1.31643	+	4.48335i	0.129087	+	0.439629i
$105$	1.75077	−	0.650810i	0.170858	−	0.0635125i
$106$	8.89213	−	1.27849i	0.863680	−	0.124178i
$107$	−11.9842	+	10.3844i	−1.15856	+	1.00390i	−0.158694	+	0.987328i	$0.550728\pi$
$107$	−11.9842	+	10.3844i	−1.15856	+	1.00390i	−0.999863	+	0.0165672i	$0.994726\pi$
$108$	1.41638	−	0.646840i	0.136291	−	0.0622422i
$109$	4.96906	+	7.73200i	0.475949	+	0.740592i	0.993348	−	0.115153i	$-0.0367358\pi$
$109$	4.96906	+	7.73200i	0.475949	+	0.740592i	−0.517398	+	0.855745i	$0.673099\pi$
$110$	−10.5843	−	1.52180i	−1.00918	−	0.145098i
$111$	−1.28127	−	0.823422i	−0.121613	−	0.0781558i
$112$	0.185843	+	2.63922i	0.0175605	+	0.249382i
$113$	2.62670	−	8.94573i	0.247099	−	0.841543i	−0.738760	−	0.673969i	$-0.764588\pi$
$113$	2.62670	−	8.94573i	0.247099	−	0.841543i	0.985859	−	0.167575i	$-0.0535935\pi$
$114$			1.67794i			0.157154i
$115$	6.08115	−	11.3726i	0.567070	−	1.06050i
$116$	9.89155			0.918407
$117$	−3.85856	+	13.1411i	−0.356724	+	1.21489i
$118$	1.50052	+	1.30021i	0.138134	+	0.119694i
$119$	16.6300	−	3.59848i	1.52447	−	0.329872i
$120$	−0.698783	−	0.100470i	−0.0637899	−	0.00917160i
$121$	−4.04864	+	2.60190i	−0.368058	+	0.236536i
$122$	−2.92512	−	6.40512i	−0.264828	−	0.579892i
$123$	−0.144665	−	0.166952i	−0.0130440	−	0.0150536i
$124$	−0.364805	+	0.0524511i	−0.0327605	+	0.00471025i
$125$	3.09300	−	6.77274i	0.276647	−	0.605772i
$126$	−3.72401	+	6.80222i	−0.331762	+	0.605990i
$127$	−10.2492	+	3.00944i	−0.909469	+	0.267044i	−0.702817	−	0.711370i	$-0.748075\pi$
$127$	−10.2492	+	3.00944i	−0.909469	+	0.267044i	−0.206652	+	0.978415i	$0.566257\pi$
$128$	0.415415	−	0.909632i	0.0367178	−	0.0804009i
$129$	0.0719339	+	0.500311i	0.00633343	+	0.0440500i
$130$	9.49607	−	8.22839i	0.832860	−	0.721677i
$131$	−14.9858	+	6.84377i	−1.30931	+	0.597943i	−0.943076	−	0.332578i	$-0.892081\pi$
$131$	−14.9858	+	6.84377i	−1.30931	+	0.597943i	−0.366237	+	0.930521i	$0.619354\pi$
$132$	−0.878233	+	0.564406i	−0.0764403	+	0.0491252i
$133$	−10.1189	−	13.5483i	−0.877422	−	1.17479i
$134$	2.03639	−	3.16869i	0.175918	−	0.273733i
$135$	−3.16444	−	2.74200i	−0.272352	−	0.235994i
$136$	−6.17051	−	1.81182i	−0.529117	−	0.155363i
$137$		−	16.0915i		−	1.37479i	−0.726285	−	0.687394i	$-0.758755\pi$
$137$		−	16.0915i		−	1.37479i	0.726285	−	0.687394i	$-0.241245\pi$
$138$	−0.278404	−	1.22789i	−0.0236993	−	0.104525i
$139$		−	7.28193i		−	0.617646i	−0.951120	−	0.308823i	$-0.900065\pi$
$139$		−	7.28193i		−	0.617646i	0.951120	−	0.308823i	$-0.0999350\pi$
$140$	6.24813	−	3.40282i	0.528063	−	0.287591i
$141$	0.176320	−	0.203484i	0.0148488	−	0.0171365i
$142$	−1.08272	−	0.695822i	−0.0908599	−	0.0583921i
$143$	2.64431	−	18.3916i	0.221129	−	1.53798i
$144$	2.46578	−	1.58466i	0.205482	−	0.132055i
$145$	−11.0497	−	24.1955i	−0.917629	−	2.00933i
$146$	10.9076	−	9.45145i	0.902716	−	0.782208i
$147$	0.257532	+	1.81958i	0.0212409	+	0.150077i
$148$	−5.27714	−	2.40999i	−0.433778	−	0.198100i
$149$	−0.570934	−	1.94442i	−0.0467728	−	0.159293i	0.932795	−	0.360407i	$-0.117362\pi$
$149$	−0.570934	−	1.94442i	−0.0467728	−	0.159293i	−0.979568	+	0.201114i	$0.935544\pi$
$150$	0.165027	+	0.562029i	0.0134744	+	0.0458895i
$151$	−0.331448	+	0.725769i	−0.0269728	+	0.0590623i	−0.922639	−	0.385665i	$-0.873972\pi$
$151$	−0.331448	+	0.725769i	−0.0269728	+	0.0590623i	0.895666	+	0.444727i	$0.146699\pi$
$152$	0.909592	+	6.32635i	0.0737776	+	0.513135i
$153$	−12.3440	−	14.2457i	−0.997952	−	1.15170i
$154$	3.68750	−	9.85346i	0.297147	−	0.794014i
$155$	0.535819	+	0.833750i	0.0430380	+	0.0669684i
$156$	0.174579	−	1.21422i	0.0139775	−	0.0972157i
$157$	4.81115	+	3.09194i	0.383972	+	0.246764i	0.718360	−	0.695672i	$-0.244893\pi$
$157$	4.81115	+	3.09194i	0.383972	+	0.246764i	−0.334388	+	0.942435i	$0.608530\pi$
$158$	−0.838296	−	0.726387i	−0.0666912	−	0.0577883i
$159$	−2.26293	−	0.664457i	−0.179462	−	0.0526948i
$160$	−2.68909			−0.212591
$161$	9.65279	+	8.23551i	0.760746	+	0.649049i
$162$	8.38445			0.658744
$163$	9.50020	+	2.78951i	0.744113	+	0.218491i	0.631746	−	0.775175i	$-0.282339\pi$
$163$	9.50020	+	2.78951i	0.744113	+	0.218491i	0.112367	+	0.993667i	$0.464157\pi$
$164$	−0.635934	−	0.551040i	−0.0496581	−	0.0430290i
$165$	2.36164	+	1.51774i	0.183854	+	0.118156i
$166$	2.11904	−	14.7383i	0.164470	−	1.14391i
$167$	−0.413294	−	0.643098i	−0.0319816	−	0.0497644i	0.824895	−	0.565286i	$-0.191234\pi$
$167$	−0.413294	−	0.643098i	−0.0319816	−	0.0497644i	−0.856876	+	0.515522i	$0.827598\pi$
$168$	0.243451	−	0.650530i	0.0187826	−	0.0501895i
$169$	5.78467	+	6.67586i	0.444974	+	0.513528i
$170$	2.46113	+	17.1175i	0.188760	+	1.31285i
$171$	−7.78226	+	17.0408i	−0.595124	+	1.30314i
$172$	0.542425	+	1.84733i	0.0413595	+	0.140858i
$173$	6.03192	+	20.5428i	0.458598	+	1.56184i	0.786784	+	0.617229i	$0.211745\pi$
$173$	6.03192	+	20.5428i	0.458598	+	1.56184i	−0.328185	+	0.944613i	$0.606437\pi$
$174$	−2.36217	−	1.07877i	−0.179076	−	0.0817810i
$175$	−4.72183	−	3.54283i	−0.356937	−	0.267813i
$176$	−3.00524	+	2.60406i	−0.226529	+	0.196288i
$177$	−0.216535	−	0.474145i	−0.0162757	−	0.0356389i
$178$	−3.40272	+	2.18680i	−0.255045	+	0.163907i
$179$	1.21587	−	8.45653i	0.0908781	−	0.632071i	−0.892574	−	0.450901i	$-0.851103\pi$
$179$	1.21587	−	8.45653i	0.0908781	−	0.632071i	0.983452	−	0.181169i	$-0.0579883\pi$
$180$	−6.63069	−	4.26129i	−0.494223	−	0.317618i
$181$	4.08786	−	4.71765i	0.303849	−	0.350660i	−0.583206	−	0.812324i	$-0.698202\pi$
$181$	4.08786	−	4.71765i	0.303849	−	0.350660i	0.887055	+	0.461664i	$0.152747\pi$
$182$	5.91283	+	10.8569i	0.438288	+	0.804768i
$183$			1.84860i			0.136652i
$184$	−1.71529	−	4.47859i	−0.126453	−	0.330166i
$185$			15.6005i			1.14697i
$186$	0.0928382	+	0.0272598i	0.00680723	+	0.00199878i
$187$	19.3268	+	16.7467i	1.41331	+	1.22464i
$188$	0.554474	−	0.862778i	0.0404392	−	0.0629246i
$189$	3.30069	−	2.46520i	0.240090	−	0.179317i
$190$	14.4587	−	9.29202i	1.04894	−	0.674114i
$191$	23.3988	−	10.6859i	1.69308	−	0.773204i	0.694525	−	0.719468i	$-0.255614\pi$
$191$	23.3988	−	10.6859i	1.69308	−	0.773204i	0.998555	−	0.0537356i	$-0.0171128\pi$
$192$	−0.198408	+	0.171921i	−0.0143188	+	0.0124074i
$193$	0.304095	+	2.11503i	0.0218893	+	0.152243i	0.997835	−	0.0657718i	$-0.0209509\pi$
$193$	0.304095	+	2.11503i	0.0218893	+	0.152243i	−0.975945	+	0.218015i	$0.930042\pi$
$194$	6.99559	−	15.3182i	0.502254	−	1.09978i
$195$	−3.16511	+	0.929359i	−0.226658	+	0.0665528i
$196$	1.95735	+	6.72077i	0.139810	+	0.480055i
$197$	−4.65265	+	10.1879i	−0.331487	+	0.725856i	−0.999838	−	0.0179901i	$-0.994273\pi$
$197$	−4.65265	+	10.1879i	−0.331487	+	0.725856i	0.668351	+	0.743846i	$0.267001\pi$
$198$	−11.5368	+	1.65874i	−0.819886	+	0.117882i
$199$	−8.62375	−	9.95234i	−0.611321	−	0.705502i	0.362713	−	0.931901i	$-0.381850\pi$
$199$	−8.62375	−	9.95234i	−0.611321	−	0.705502i	−0.974035	+	0.226398i	$0.927305\pi$
$200$	0.926869	+	2.02956i	0.0655395	+	0.143512i
$201$	−0.831879	+	0.534616i	−0.0586762	+	0.0377089i
$202$	−5.85430	−	0.841722i	−0.411907	−	0.0592233i
$203$	25.5786	−	5.53482i	1.79527	−	0.388468i
$204$	1.27596	+	1.10563i	0.0893352	+	0.0774094i
$205$	−0.637494	+	2.17110i	−0.0445245	+	0.151637i
$206$	−14.4091			−1.00393
$207$	2.86752	−	13.7614i	0.199307	−	0.956481i
$208$		−	4.67263i		−	0.323988i
$209$	7.16037	−	24.3860i	0.495293	−	1.68681i
$210$	−1.86320	+	0.131199i	−0.128573	+	0.00905360i
$211$	−0.613397	−	0.394207i	−0.0422280	−	0.0271383i	0.519356	−	0.854558i	$-0.326172\pi$
$211$	−0.613397	−	0.394207i	−0.0422280	−	0.0271383i	−0.561585	+	0.827419i	$0.689808\pi$
$212$	−8.89213	−	1.27849i	−0.610714	−	0.0878074i
$213$	0.182675	+	0.284248i	0.0125167	+	0.0194763i
$214$	14.4244	−	6.58739i	0.986030	−	0.450305i
$215$	3.91278	−	3.39044i	0.266849	−	0.231226i
$216$	−1.54124	+	0.221597i	−0.104868	+	0.0150778i
$217$	−0.914003	+	0.339761i	−0.0620465	+	0.0230644i
$218$	−2.58942	−	8.81875i	−0.175378	−	0.597281i
$219$	−3.63557	+	1.06750i	−0.245669	+	0.0721349i
$220$	9.72686	+	4.44211i	0.655785	+	0.299487i
$221$	−29.7438	+	4.27652i	−2.00079	+	0.287670i
$222$	0.997385	+	1.15104i	0.0669401	+	0.0772530i
$223$	−23.3420	+	10.6600i	−1.56310	+	0.713843i	−0.994097	−	0.108493i	$-0.965397\pi$
$223$	−23.3420	+	10.6600i	−1.56310	+	0.713843i	−0.569001	+	0.822336i	$0.692670\pi$
$224$	0.565239	−	2.58467i	0.0377666	−	0.172695i
$225$	−0.930708	+	6.47322i	−0.0620472	+	0.431548i
$226$	−5.04060	+	7.84333i	−0.335296	+	0.521731i
$227$	4.30505	−	4.96830i	0.285736	−	0.329757i	−0.594677	−	0.803965i	$-0.702720\pi$
$227$	4.30505	−	4.96830i	0.285736	−	0.329757i	0.880413	+	0.474208i	$0.157265\pi$
$228$	0.472731	−	1.60997i	0.0313074	−	0.106623i
$229$	−6.45043			−0.426256			−0.213128	−	0.977024i	$-0.568365\pi$
$229$	−6.45043			−0.426256			−0.213128	+	0.977024i	$0.568365\pi$
$230$	−9.03886	+	9.19871i	−0.596005	+	0.606545i
$231$	−1.95521	+	1.95092i	−0.128644	+	0.128361i
$232$	−9.49087	−	2.78677i	−0.623106	−	0.182961i
$233$	−11.2127	+	12.9402i	−0.734571	+	0.847740i	−0.992978	−	0.118296i	$-0.962257\pi$
$233$	−11.2127	+	12.9402i	−0.734571	+	0.847740i	0.258408	+	0.966036i	$0.416802\pi$
$234$	7.40452	−	11.5217i	0.484049	−	0.753195i
$235$	−2.72982	−	0.392489i	−0.178074	−	0.0256032i
$236$	−1.07343	−	1.67029i	−0.0698743	−	0.108727i
$237$	0.120971	+	0.264890i	0.00785793	+	0.0172065i
$238$	−16.9702	−	1.23249i	−1.10001	−	0.0798908i
$239$	2.19846	+	15.2906i	0.142206	+	0.989068i	0.928531	+	0.371254i	$0.121072\pi$
$239$	2.19846	+	15.2906i	0.142206	+	0.989068i	−0.786325	+	0.617813i	$0.788019\pi$
$240$	0.642172	+	0.293270i	0.0414520	+	0.0189305i
$241$	5.07767	−	1.49094i	0.327081	−	0.0960398i	−0.114069	−	0.993473i	$-0.536389\pi$
$241$	5.07767	−	1.49094i	0.327081	−	0.0960398i	0.441151	+	0.897433i	$0.354570\pi$
$242$	4.61768	−	1.35587i	0.296836	−	0.0871588i
$243$	−6.25140	−	2.85492i	−0.401028	−	0.183143i
$244$	1.00210	+	6.96977i	0.0641530	+	0.446194i
$245$	14.2530	−	12.2955i	0.910592	−	0.785531i
$246$	0.0917692	+	0.200947i	0.00585099	+	0.0128119i
$247$	16.1460	+	25.1237i	1.02735	+	1.59859i
$248$	0.364805	+	0.0524511i	0.0231652	+	0.00333065i
$249$	−2.11339	+	3.28849i	−0.133930	+	0.208400i
$250$	−4.87582	+	5.62699i	−0.308374	+	0.355882i
$251$	−9.12327	−	2.67883i	−0.575856	−	0.169087i	−0.0191796	−	0.999816i	$-0.506105\pi$
$251$	−9.12327	−	2.67883i	−0.575856	−	0.169087i	−0.556676	+	0.830729i	$0.687924\pi$
$252$	5.48957	−	5.47751i	0.345811	−	0.345051i
$253$	−1.19372	+	19.0333i	−0.0750484	+	1.19661i
$254$	10.6819			0.670241
$255$	1.27909	−	4.35619i	0.0800998	−	0.272795i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	1.08832	−	1.69346i	0.0678877	−	0.105635i	−0.805650	−	0.592392i	$-0.798184\pi$
$257$	1.08832	−	1.69346i	0.0678877	−	0.105635i	0.873538	+	0.486757i	$0.161820\pi$
$258$	0.0719339	−	0.500311i	0.00447841	−	0.0311480i
$259$	−14.9947	−	3.27918i	−0.931725	−	0.203758i
$260$	−11.4296	+	5.21973i	−0.708834	+	0.323714i
$261$	−18.9863	−	21.9114i	−1.17522	−	1.35628i
$262$	16.3069	−	2.34457i	1.00744	−	0.144848i
$263$	0.997733	+	0.455649i	0.0615229	+	0.0280965i	0.445939	−	0.895063i	$-0.352870\pi$
$263$	0.997733	+	0.455649i	0.0615229	+	0.0280965i	−0.384416	+	0.923160i	$0.625597\pi$
$264$	1.00167	−	0.294117i	0.0616485	−	0.0181016i
$265$	6.80598	+	23.1790i	0.418088	+	1.42388i
$266$	5.89203	+	15.8504i	0.361264	+	0.971849i
$267$	1.05108	−	0.151123i	0.0643252	−	0.00924857i
$268$	−2.84663	+	2.46662i	−0.173885	+	0.150673i
$269$	−1.29114	+	0.589644i	−0.0787223	+	0.0359513i	−0.454387	−	0.890804i	$-0.650142\pi$
$269$	−1.29114	+	0.589644i	−0.0787223	+	0.0359513i	0.375665	+	0.926756i	$0.377414\pi$
$270$	2.26375	+	3.52246i	0.137767	+	0.214370i
$271$	24.5322	+	3.52719i	1.49022	+	0.214262i	0.838794	−	0.544449i	$-0.183261\pi$
$271$	24.5322	+	3.52719i	1.49022	+	0.214262i	0.651428	+	0.758710i	$0.274170\pi$
$272$	5.41011	+	3.47687i	0.328036	+	0.210816i
$273$	−0.227975	−	3.23755i	−0.0137977	−	0.195946i
$274$	−4.53349	+	15.4397i	−0.273878	+	0.932744i
$275$		−	8.87234i		−	0.535022i
$276$	−0.0788099	+	1.25659i	−0.00474380	+	0.0756376i
$277$	−20.9882			−1.26106			−0.630530	−	0.776165i	$-0.717163\pi$
$277$	−20.9882			−1.26106			−0.630530	+	0.776165i	$0.717163\pi$
$278$	−2.05156	+	6.98696i	−0.123044	+	0.419050i
$279$	0.816412	+	0.707425i	0.0488773	+	0.0423524i
$280$	−6.95372	+	1.50468i	−0.415564	+	0.0899218i
$281$	−7.53054	−	1.08273i	−0.449234	−	0.0645902i	−0.0860151	−	0.996294i	$-0.527413\pi$
$281$	−7.53054	−	1.08273i	−0.449234	−	0.0645902i	−0.363219	+	0.931704i	$0.618322\pi$
$282$	−0.226506	+	0.145567i	−0.0134882	+	0.00866837i
$283$	3.06348	+	6.70808i	0.182105	+	0.398754i	0.978565	−	0.205937i	$-0.0660240\pi$
$283$	3.06348	+	6.70808i	0.182105	+	0.398754i	−0.796460	+	0.604691i	$0.793297\pi$
$284$	0.842827	+	0.972674i	0.0500126	+	0.0577176i
$285$	−4.46621	+	0.642144i	−0.264555	+	0.0380373i
$286$	−7.71872	+	16.9016i	−0.456417	+	0.999415i
$287$	−1.95280	−	1.06910i	−0.115270	−	0.0631069i
$288$	−2.81235	+	0.825780i	−0.165719	+	0.0486595i
$289$	10.1186	−	22.1567i	0.595214	−	1.30334i
$290$	3.78547	+	26.3285i	0.222290	+	1.54606i
$291$	−3.34119	+	2.89515i	−0.195864	+	0.169717i
$292$	−13.1285	+	5.99559i	−0.768287	+	0.350865i
$293$	25.4790	−	16.3743i	1.48850	−	0.956599i	0.492212	−	0.870475i	$-0.336188\pi$
$293$	25.4790	−	16.3743i	1.48850	−	0.956599i	0.996284	−	0.0861235i	$-0.0274479\pi$
$294$	0.265536	−	1.81843i	0.0154864	−	0.106053i
$295$	−2.88654	+	4.49155i	−0.168061	+	0.261508i
$296$	4.38441	+	3.79911i	0.254838	+	0.220819i
$297$	5.94098	+	1.74443i	0.344731	+	0.101222i
$298$			2.02651i			0.117393i
$299$	−15.9839	−	15.7062i	−0.924374	−	0.908311i
$300$		−	0.585756i		−	0.0338186i
$301$	2.43633	+	4.47351i	0.140428	+	0.257849i
$302$	0.522495	−	0.602991i	0.0300662	−	0.0346982i
$303$	1.30625	+	0.839475i	0.0750420	+	0.0482266i
$304$	0.909592	−	6.32635i	0.0521687	−	0.362841i
$305$	15.9292	−	10.2371i	0.912102	−	0.586172i
$306$	7.83048	+	17.1464i	0.447639	+	0.980193i
$307$	−9.79427	+	8.48678i	−0.558989	+	0.484366i	−0.887927	−	0.459985i	$-0.847855\pi$
$307$	−9.79427	+	8.48678i	−0.558989	+	0.484366i	0.328938	+	0.944352i	$0.393309\pi$
$308$	−6.31417	+	8.41544i	−0.359783	+	0.479514i
$309$	3.44100	+	1.57145i	0.195752	+	0.0893967i
$310$	−0.279220	−	0.950935i	−0.0158586	−	0.0540095i
$311$	3.06917	+	10.4526i	0.174037	+	0.592714i	0.999597	+	0.0283999i	$0.00904120\pi$
$311$	3.06917	+	10.4526i	0.174037	+	0.592714i	−0.825560	+	0.564314i	$0.809141\pi$
$312$	−0.509594	+	1.11585i	−0.0288501	+	0.0631728i
$313$	−1.69494	−	11.7886i	−0.0958037	−	0.666329i	−0.979968	−	0.199154i	$-0.936181\pi$
$313$	−1.69494	−	11.7886i	−0.0958037	−	0.666329i	0.884165	−	0.467176i	$-0.154728\pi$
$314$	−3.74517	−	4.32215i	−0.211352	−	0.243913i
$315$	−19.5307	−	7.30908i	−1.10043	−	0.411820i
$316$	0.599692	+	0.933139i	0.0337353	+	0.0524932i
$317$	1.83794	−	12.7832i	0.103229	−	0.717974i	−0.870814	−	0.491612i	$-0.836408\pi$
$317$	1.83794	−	12.7832i	0.103229	−	0.717974i	0.974043	−	0.226362i	$-0.0726831\pi$
$318$	1.98407	+	1.27508i	0.111261	+	0.0715031i
$319$	29.7265	+	25.7582i	1.66437	+	1.44218i
$320$	2.58016	+	0.757603i	0.144235	+	0.0423513i
$321$	−4.16305			−0.232359
$322$	−6.94157	−	10.6214i	−0.386839	−	0.591909i
$323$	−41.1032			−2.28704
$324$	−8.04482	−	2.36217i	−0.446934	−	0.131232i
$325$	7.87907	+	6.82725i	0.437052	+	0.378708i
$326$	−8.32948	−	5.35303i	−0.461327	−	0.296477i
$327$	−0.343397	+	2.38838i	−0.0189899	+	0.132078i
$328$	0.454928	+	0.707882i	0.0251192	+	0.0390863i
$329$	0.951049	−	2.54132i	0.0524330	−	0.140107i
$330$	−1.83839	−	2.12161i	−0.101200	−	0.116791i
$331$	−1.78817	−	12.4370i	−0.0982866	−	0.683598i	−0.978078	−	0.208238i	$-0.933227\pi$
$331$	−1.78817	−	12.4370i	−0.0982866	−	0.683598i	0.879791	−	0.475360i	$-0.157682\pi$
$332$	−6.18546	+	13.5443i	−0.339471	+	0.743338i
$333$	4.79068	+	16.3156i	0.262528	+	0.894087i
$334$	0.215371	+	0.733486i	0.0117846	+	0.0401346i
$335$	9.21347	+	4.20765i	0.503386	+	0.229888i
$336$	−0.416865	+	0.555591i	−0.0227418	+	0.0303100i
$337$	4.13685	−	3.58460i	0.225348	−	0.195265i	−0.534868	−	0.844936i	$-0.679639\pi$
$337$	4.13685	−	3.58460i	0.225348	−	0.195265i	0.760216	+	0.649670i	$0.225093\pi$
$338$	−3.66954	−	8.03517i	−0.199597	−	0.437056i
$339$	2.05912	−	1.32332i	0.111836	−	0.0718726i
$340$	2.46113	−	17.1175i	0.133473	−	0.928328i
$341$	−1.23292	−	0.792346i	−0.0667661	−	0.0429080i
$342$	12.2680	−	14.1580i	0.663376	−	0.765576i
$343$	8.82212	+	16.2840i	0.476350	+	0.879256i
$344$		−	1.92532i		−	0.103806i
$345$	3.16175	−	1.21094i	0.170223	−	0.0651949i
$346$		−	21.4101i		−	1.15101i
$347$	−10.7461	−	3.15534i	−0.576880	−	0.169387i	−0.0197391	−	0.999805i	$-0.506284\pi$
$347$	−10.7461	−	3.15534i	−0.576880	−	0.169387i	−0.557141	+	0.830418i	$0.688102\pi$
$348$	1.96256	+	1.70057i	0.105204	+	0.0911600i
$349$	14.7121	−	22.8925i	0.787521	−	1.22541i	−0.182696	−	0.983169i	$-0.558482\pi$
$349$	14.7121	−	22.8925i	0.787521	−	1.22541i	0.970217	−	0.242237i	$-0.0778812\pi$
$350$	3.53243	+	4.72962i	0.188817	+	0.252809i
$351$	−6.12072	+	3.93355i	−0.326700	+	0.209957i
$352$	3.61716	−	1.65190i	0.192795	−	0.0880466i
$353$	−6.17468	+	5.35039i	−0.328645	+	0.284773i	−0.803516	−	0.595283i	$-0.797040\pi$
$353$	−6.17468	+	5.35039i	−0.328645	+	0.284773i	0.474871	+	0.880055i	$0.342495\pi$
$354$	0.0741815	+	0.515944i	0.00394270	+	0.0274221i
$355$	1.43773	−	3.14818i	0.0763066	−	0.167088i
$356$	3.88098	−	1.13956i	0.205691	−	0.0603965i
$357$	3.91817	+	2.14508i	0.207372	+	0.113530i
$358$	−3.54909	+	7.77143i	−0.187575	+	0.410733i
$359$	20.6964	−	2.97570i	1.09232	−	0.157051i	0.427468	−	0.904030i	$-0.359406\pi$
$359$	20.6964	−	2.97570i	1.09232	−	0.157051i	0.664847	+	0.746979i	$0.268497\pi$
$360$	5.16156	+	5.95676i	0.272038	+	0.313949i
$361$	9.07685	+	19.8755i	0.477729	+	1.04608i
$362$	−5.25139	+	3.37486i	−0.276007	+	0.177379i
$363$	−1.25060	−	0.179810i	−0.0656396	−	0.00943756i
$364$	−2.61457	−	12.0830i	−0.137041	−	0.633319i
$365$	29.3314	+	25.4158i	1.53527	+	1.33032i
$366$	0.520810	−	1.77372i	0.0272232	−	0.0927136i
$367$	−12.8748			−0.672062			−0.336031	−	0.941851i	$-0.609085\pi$
$367$	−12.8748			−0.672062			−0.336031	+	0.941851i	$0.609085\pi$
$368$	0.384043	+	4.78043i	0.0200196	+	0.249197i
$369$			2.46639i			0.128395i
$370$	4.39516	−	14.9685i	0.228494	−	0.778177i
$371$	−23.7096	+	1.66953i	−1.23094	+	0.0866776i
$372$	−0.0813977	−	0.0523111i	−0.00422027	−	0.00271220i
$373$	15.8816	+	2.28343i	0.822318	+	0.118232i	0.540615	−	0.841270i	$-0.318192\pi$
$373$	15.8816	+	2.28343i	0.822318	+	0.118232i	0.281703	+	0.959502i	$0.409101\pi$
$374$	−13.8258	−	21.5133i	−0.714915	−	1.11243i
$375$	1.77805	−	0.812010i	0.0918183	−	0.0419320i
$376$	−0.775087	+	0.671616i	−0.0399720	+	0.0346360i
$377$	−45.7491	+	6.57772i	−2.35620	+	0.338770i
$378$	−3.86151	+	1.43543i	−0.198615	+	0.0738307i
$379$	−9.32639	−	31.7628i	−0.479064	−	1.63154i	−0.744650	−	0.667456i	$-0.767383\pi$
$379$	−9.32639	−	31.7628i	−0.479064	−	1.63154i	0.265585	−	0.964087i	$-0.414435\pi$
$380$	−16.4908	+	4.84215i	−0.845963	+	0.248397i
$381$	−2.55091	−	1.16496i	−0.130687	−	0.0596827i
$382$	−25.4616	+	3.66082i	−1.30273	+	0.187304i
$383$	14.3742	+	16.5888i	0.734489	+	0.847646i	0.992969	−	0.118371i	$-0.0377671\pi$
$383$	14.3742	+	16.5888i	0.734489	+	0.847646i	−0.258480	+	0.966017i	$0.583222\pi$
$384$	0.238807	−	0.109059i	0.0121866	−	0.00556541i
$385$	27.6383	+	6.04420i	1.40858	+	0.308041i
$386$	0.304095	−	2.11503i	0.0154780	−	0.107652i
$387$	3.05098	−	4.74741i	0.155090	−	0.241325i
$388$	−11.0279	+	12.7268i	−0.559854	+	0.646107i
$389$	6.90926	−	23.5308i	0.350314	−	1.19306i	−0.576361	−	0.817195i	$-0.695528\pi$
$389$	6.90926	−	23.5308i	0.350314	−	1.19306i	0.926675	−	0.375864i	$-0.122654\pi$
$390$	3.29873			0.167038
$391$	30.0786	−	6.81983i	1.52114	−	0.344893i
$392$	0.0154007	−	6.99998i	0.000777854	−	0.353553i
$393$	−4.14988	−	1.21852i	−0.209334	−	0.0614660i
$394$	7.33444	−	8.46439i	0.369504	−	0.426430i
$395$	1.61262	−	2.50929i	0.0811399	−	0.126256i
$396$	11.5368	+	1.65874i	0.579747	+	0.0833550i
$397$	−14.7149	−	22.8968i	−0.738517	−	1.14916i	−0.983724	−	0.179685i	$-0.942492\pi$
$397$	−14.7149	−	22.8968i	−0.738517	−	1.14916i	0.245207	−	0.969471i	$-0.421144\pi$
$398$	5.47053	+	11.9788i	0.274213	+	0.600442i
$399$	0.321576	−	4.42776i	0.0160989	−	0.221665i
$400$	−0.317531	−	2.20848i	−0.0158766	−	0.110424i
$401$	−22.2308	−	10.1525i	−1.11015	−	0.506989i	−0.225971	−	0.974134i	$-0.572556\pi$
$401$	−22.2308	−	10.1525i	−1.11015	−	0.506989i	−0.884181	+	0.467145i	$0.845283\pi$
$402$	0.948801	−	0.278593i	0.0473219	−	0.0138950i
$403$	1.65237	−	0.485179i	0.0823104	−	0.0241685i
$404$	5.38002	+	2.45697i	0.267666	+	0.122239i
$405$	3.20870	+	22.3170i	0.159442	+	1.10894i
$406$	−26.1018	−	1.89570i	−1.29541	−	0.0940821i
$407$	−9.58334	−	20.9846i	−0.475029	−	1.04017i
$408$	−0.912786	−	1.42032i	−0.0451896	−	0.0703164i
$409$	−17.1474	−	2.46543i	−0.847886	−	0.121908i	−0.295342	−	0.955392i	$-0.595434\pi$
$409$	−17.1474	−	2.46543i	−0.847886	−	0.121908i	−0.552544	+	0.833484i	$0.686343\pi$
$410$	1.22334	−	1.90356i	0.0604165	−	0.0940100i
$411$	2.76647	−	3.19267i	0.136460	−	0.157483i
$412$	13.8255	+	4.05952i	0.681132	+	0.199998i
$413$	−3.71040	−	3.71857i	−0.182577	−	0.182979i
$414$	−6.62839	+	12.3961i	−0.325768	+	0.609233i
$415$	40.0400			1.96549
$416$	−1.31643	+	4.48335i	−0.0645433	+	0.219814i
$417$	1.25192	−	1.44479i	0.0613068	−	0.0707518i
$418$	−13.7406	+	21.3809i	−0.672077	+	1.04577i
$419$	−0.361489	+	2.51421i	−0.0176599	+	0.122827i	−0.996744	−	0.0806271i	$-0.974308\pi$
$419$	−0.361489	+	2.51421i	−0.0176599	+	0.122827i	0.979084	+	0.203454i	$0.0652168\pi$
$420$	1.82469	+	0.399041i	0.0890360	+	0.0194712i
$421$	8.16446	−	3.72859i	0.397912	−	0.181720i	−0.206401	−	0.978467i	$-0.566175\pi$
$421$	8.16446	−	3.72859i	0.397912	−	0.181720i	0.604313	+	0.796747i	$0.293448\pi$
$422$	0.477490	+	0.551052i	0.0232438	+	0.0268248i
$423$	−2.97548	+	0.427809i	−0.144673	+	0.0208008i
$424$	8.17174	+	3.73191i	0.396855	+	0.181237i
$425$	−13.7676	+	4.04252i	−0.667825	+	0.196091i
$426$	−0.0951935	−	0.324199i	−0.00461214	−	0.0157075i
$427$	6.49128	+	17.4624i	0.314135	+	0.845066i
$428$	−15.6960	+	2.25674i	−0.758693	+	0.109084i
$429$	3.68656	−	3.19442i	0.177989	−	0.154228i
$430$	−4.70948	+	2.15075i	−0.227112	+	0.103718i
$431$	−5.28761	−	8.22768i	−0.254695	−	0.396314i	0.690235	−	0.723585i	$-0.257507\pi$
$431$	−5.28761	−	8.22768i	−0.254695	−	0.396314i	−0.944930	+	0.327272i	$0.893871\pi$
$432$	1.54124	+	0.221597i	0.0741531	+	0.0106616i
$433$	3.52095	+	2.26278i	0.169206	+	0.108742i	0.622503	−	0.782617i	$-0.286116\pi$
$433$	3.52095	+	2.26278i	0.169206	+	0.108742i	−0.453297	+	0.891360i	$0.649752\pi$
$434$	0.972701	−	0.0684935i	0.0466911	−	0.00328779i
$435$	1.96737	−	6.70026i	0.0943284	−	0.321253i
$436$			9.19105i			0.440171i
$437$	−18.5835	−	24.3763i	−0.888968	−	1.16608i
$438$	3.78905			0.181048
$439$	1.47884	−	5.03646i	0.0705811	−	0.240377i	−0.916645	−	0.399702i	$-0.869114\pi$
$439$	1.47884	−	5.03646i	0.0705811	−	0.240377i	0.987226	+	0.159325i	$0.0509318\pi$
$440$	−8.08136	−	7.00254i	−0.385264	−	0.333833i
$441$	11.1306	−	17.2360i	0.530027	−	0.820762i
$442$	29.7438	+	4.27652i	1.41477	+	0.203413i
$443$	14.7204	−	9.46024i	0.699388	−	0.449470i	−0.142024	−	0.989863i	$-0.545361\pi$
$443$	14.7204	−	9.46024i	0.699388	−	0.449470i	0.841412	+	0.540394i	$0.181725\pi$
$444$	−0.632697	−	1.38541i	−0.0300265	−	0.0657488i
$445$	−7.12284	−	8.22019i	−0.337655	−	0.389675i
$446$	25.3998	−	3.65194i	1.20271	−	0.172924i
$447$	0.221010	−	0.483945i	0.0104534	−	0.0228898i
$448$	−1.27053	+	2.32072i	−0.0600268	+	0.109644i
$449$	−11.9490	+	3.50854i	−0.563908	+	0.165578i	−0.551248	−	0.834342i	$-0.685848\pi$
$449$	−11.9490	+	3.50854i	−0.563908	+	0.165578i	−0.0126600	+	0.999920i	$0.504030\pi$
$450$	2.71672	−	5.94879i	0.128068	−	0.280429i
$451$	−0.476197	−	3.31202i	−0.0224232	−	0.155957i
$452$	7.04615	−	6.10552i	0.331423	−	0.287180i
$453$	−0.190537	+	0.0870153i	−0.00895221	+	0.00408834i
$454$	−5.53040	+	3.55417i	−0.259555	+	0.166806i
$455$	−26.6352	+	19.8932i	−1.24868	+	0.932606i
$456$	−0.907164	+	1.41158i	−0.0424819	+	0.0661031i
$457$	0.993823	+	0.861153i	0.0464891	+	0.0402830i	0.677795	−	0.735251i	$-0.262935\pi$
$457$	0.993823	+	0.861153i	0.0464891	+	0.0402830i	−0.631306	+	0.775534i	$0.717481\pi$
$458$	6.18914	+	1.81730i	0.289200	+	0.0849167i
$459$		−	10.0137i		−	0.467398i
$460$	11.2643	−	6.27955i	0.525201	−	0.292786i
$461$			16.8427i			0.784442i	0.919871	+	0.392221i	$0.128293\pi$
$461$			16.8427i			0.784442i	−0.919871	+	0.392221i	$0.871707\pi$
$462$	2.42565	−	1.32104i	0.112851	−	0.0614605i
$463$	−17.7141	+	20.4432i	−0.823245	+	0.950075i	−0.999412	−	0.0342849i	$-0.989085\pi$
$463$	−17.7141	+	20.4432i	−0.823245	+	0.950075i	0.176167	+	0.984360i	$0.443630\pi$
$464$	8.32130	+	5.34778i	0.386307	+	0.248264i
$465$	−0.0370288	+	0.257541i	−0.00171717	+	0.0119432i
$466$	14.4042	−	9.25703i	0.667262	−	0.428823i
$467$	−5.64952	−	12.3707i	−0.261428	−	0.572448i	0.732713	−	0.680538i	$-0.238254\pi$
$467$	−5.64952	−	12.3707i	−0.261428	−	0.572448i	−0.994141	+	0.108090i	$0.965527\pi$
$468$	−10.3506	+	8.96886i	−0.478457	+	0.414586i
$469$	−5.98091	+	7.97127i	−0.276173	+	0.368079i
$470$	2.50867	+	1.14567i	0.115716	+	0.0528458i
$471$	0.422999	+	1.44060i	0.0194908	+	0.0663795i
$472$	0.559373	+	1.90505i	0.0257472	+	0.0876871i
$473$	−3.18044	+	6.96419i	−0.146237	+	0.320214i
$474$	−0.0414429	−	0.288242i	−0.00190354	−	0.0132394i
$475$	9.33859	+	10.7773i	0.428484	+	0.494497i
$476$	15.9355	+	5.96361i	0.730403	+	0.273342i
$477$	14.2359	+	22.1515i	0.651817	+	1.01425i
$478$	2.19846	−	15.2906i	0.100555	−	0.699377i
$479$	−2.87327	−	1.84654i	−0.131283	−	0.0843704i	0.473351	−	0.880874i	$-0.343044\pi$
$479$	−2.87327	−	1.84654i	−0.131283	−	0.0843704i	−0.604634	+	0.796504i	$0.706681\pi$
$480$	−0.533536	−	0.462311i	−0.0243525	−	0.0211015i
$481$	26.0097	+	7.63714i	1.18594	+	0.348224i
$482$	−5.29203			−0.241046
$483$	0.499329	+	3.29351i	0.0227202	+	0.149860i
$484$	−4.81262			−0.218756
$485$	43.4499	+	12.7580i	1.97296	+	0.579313i
$486$	5.19385	+	4.50050i	0.235598	+	0.204147i
$487$	−6.95311	−	4.46849i	−0.315075	−	0.202487i	0.373539	−	0.927615i	$-0.378144\pi$
$487$	−6.95311	−	4.46849i	−0.315075	−	0.202487i	−0.688614	+	0.725128i	$0.741781\pi$
$488$	1.00210	−	6.96977i	0.0453630	−	0.315507i
$489$	1.40534	+	2.18675i	0.0635516	+	0.0988881i
$490$	−17.1397	+	7.78192i	−0.774294	+	0.351551i
$491$	−0.730535	−	0.843083i	−0.0329686	−	0.0380478i	0.739026	−	0.673677i	$-0.235286\pi$
$491$	−0.730535	−	0.843083i	−0.0329686	−	0.0380478i	−0.771994	+	0.635629i	$0.780741\pi$
$492$	−0.0314387	−	0.218661i	−0.00141737	−	0.00985801i
$493$	26.4257	−	57.8641i	1.19015	−	2.60607i
$494$	−8.41384	−	28.6549i	−0.378557	−	1.28925i
$495$	−8.83021	−	30.0729i	−0.396888	−	1.35168i
$496$	−0.335251	−	0.153104i	−0.0150532	−	0.00687457i
$497$	2.72373	+	2.04364i	0.122176	+	0.0916697i
$498$	2.95426	−	2.55988i	0.132383	−	0.114711i
$499$	−4.82060	−	10.5556i	−0.215800	−	0.472535i	0.770512	−	0.637425i	$-0.220000\pi$
$499$	−4.82060	−	10.5556i	−0.215800	−	0.472535i	−0.986312	+	0.164890i	$0.947273\pi$
$500$	6.26362	−	4.02538i	0.280118	−	0.180021i
$501$	0.0285615	−	0.198650i	0.00127603	−	0.00887501i
$502$	7.99900	+	5.14065i	0.357013	+	0.229438i
$503$	7.46004	−	8.60935i	0.332627	−	0.383872i	−0.564657	−	0.825326i	$-0.690992\pi$
$503$	7.46004	−	8.60935i	0.332627	−	0.383872i	0.897284	+	0.441454i	$0.145537\pi$
$504$	−6.81040	+	3.70904i	−0.303359	+	0.165214i
$505$		−	15.9046i		−	0.707746i
$506$	6.50766	−	17.9260i	0.289301	−	0.796907i
$507$			2.31905i			0.102993i
$508$	−10.2492	−	3.00944i	−0.454735	−	0.133522i
$509$	30.9551	+	26.8228i	1.37206	+	1.18890i	0.960754	+	0.277401i	$0.0894730\pi$
$509$	30.9551	+	26.8228i	1.37206	+	1.18890i	0.411307	+	0.911497i	$0.365072\pi$
$510$	−2.45456	+	3.81937i	−0.108690	+	0.169124i
$511$	−30.5942	+	22.8501i	−1.35341	+	1.01083i
$512$	0.841254	−	0.540641i	0.0371785	−	0.0238932i
$513$	−9.05267	+	4.13421i	−0.399685	+	0.182530i
$514$	−1.52134	+	1.31825i	−0.0671035	+	0.0581455i
$515$	−5.51433	−	38.3530i	−0.242990	−	1.69004i
$516$	−0.209974	+	0.459779i	−0.00924360	+	0.0202407i
$517$	3.91306	−	1.14898i	0.172096	−	0.0505320i
$518$	13.4635	+	7.37084i	0.591550	+	0.323856i
$519$	−2.33497	+	5.11287i	−0.102494	+	0.224430i
$520$	12.4372	−	1.78820i	0.545407	−	0.0784177i
$521$	1.34936	+	1.55724i	0.0591165	+	0.0682240i	0.784538	−	0.620081i	$-0.212900\pi$
$521$	1.34936	+	1.55724i	0.0591165	+	0.0682240i	−0.725421	+	0.688305i	$0.758355\pi$
$522$	12.0441	+	26.3729i	0.527155	+	1.15431i
$523$	−15.7277	+	10.1076i	−0.687726	+	0.441975i	−0.837277	−	0.546779i	$-0.815854\pi$
$523$	−15.7277	+	10.1076i	−0.687726	+	0.441975i	0.149551	+	0.988754i	$0.452217\pi$
$524$	−16.3069	−	2.34457i	−0.712368	−	0.102423i
$525$	−0.327760	−	1.51471i	−0.0143046	−	0.0661073i
$526$	−0.828947	−	0.718286i	−0.0361438	−	0.0313188i
$527$	−0.667760	+	2.27418i	−0.0290881	+	0.0990649i
$528$	−1.04396			−0.0454324
$529$	17.6436	+	14.7548i	0.767112	+	0.641513i
$530$		−	24.1576i		−	1.04934i
$531$	−1.63957	+	5.58385i	−0.0711511	+	0.242318i
$532$	−1.18780	−	16.8683i	−0.0514975	−	0.731334i
$533$	3.30767	+	2.12571i	0.143271	+	0.0920747i
$534$	−1.05108	−	0.151123i	−0.0454848	−	0.00653973i
$535$	23.0539	+	35.8726i	0.996708	+	1.55091i
$536$	3.42624	−	1.56471i	0.147991	−	0.0675853i
$537$	1.69509	−	1.46881i	0.0731487	−	0.0633837i
$538$	1.40496	−	0.202003i	0.0605723	−	0.00870898i
$539$	−11.6190	+	25.2946i	−0.500465	+	1.08952i
$540$	−1.17966	−	4.01755i	−0.0507644	−	0.172888i
$541$	−2.56141	+	0.752097i	−0.110123	+	0.0323352i	−0.336330	−	0.941744i	$-0.609186\pi$
$541$	−2.56141	+	0.752097i	−0.110123	+	0.0323352i	0.226207	+	0.974079i	$0.427368\pi$
$542$	−22.5447	−	10.2958i	−0.968378	−	0.442243i
$543$	1.62213	−	0.233227i	0.0696122	−	0.0100087i
$544$	−4.21142	−	4.86023i	−0.180563	−	0.208381i
$545$	22.4820	−	10.2672i	0.963025	−	0.439799i
$546$	−0.693383	+	3.17064i	−0.0296741	+	0.135691i
$547$	0.386626	−	2.68905i	0.0165310	−	0.114975i	−0.979885	−	0.199562i	$-0.936048\pi$
$547$	0.386626	−	2.68905i	0.0165310	−	0.114975i	0.996416	+	0.0845870i	$0.0269571\pi$
$548$	8.69971	−	13.5370i	0.371633	−	0.578272i
$549$	13.5157	−	15.5979i	0.576835	−	0.665703i
$550$	−2.49963	+	8.51294i	−0.106584	+	0.362993i
$551$	−63.2209			−2.69330
$552$	0.429639	−	1.18348i	0.0182866	−	0.0503723i
$553$	2.07288	+	2.07745i	0.0881480	+	0.0883422i
$554$	20.1381	+	5.91307i	0.855584	+	0.251222i
$555$	−2.68205	+	3.09525i	−0.113847	+	0.131386i
$556$	3.93691	−	6.12595i	0.166962	−	0.259798i
$557$	−26.1595	−	3.76116i	−1.10841	−	0.159366i	−0.436290	−	0.899806i	$-0.643708\pi$
$557$	−26.1595	−	3.76116i	−1.10841	−	0.159366i	−0.672122	+	0.740440i	$0.734617\pi$
$558$	−0.584037	−	0.908779i	−0.0247243	−	0.0384717i
$559$	−3.73720	−	8.18332i	−0.158067	−	0.346118i
$560$	7.09596	+	0.515360i	0.299859	+	0.0217779i
$561$	0.955459	+	6.64536i	0.0403395	+	0.280567i
$562$	6.92046	+	3.16047i	0.291922	+	0.133316i
$563$	−45.1554	+	13.2588i	−1.90307	+	0.558792i	−0.915328	+	0.402709i	$0.868069\pi$
$563$	−45.1554	+	13.2588i	−1.90307	+	0.558792i	−0.987744	+	0.156084i	$0.950113\pi$
$564$	0.258342	−	0.0758560i	0.0108782	−	0.00319412i
$565$	−22.8057	−	10.4150i	−0.959445	−	0.438164i
$566$	−1.04950	−	7.29944i	−0.0441138	−	0.306818i
$567$	−22.1249	−	1.60687i	−0.929158	−	0.0674821i
$568$	−0.534653	−	1.17073i	−0.0224335	−	0.0491226i
$569$	4.36181	+	6.78710i	0.182856	+	0.284530i	0.920565	−	0.390589i	$-0.127729\pi$
$569$	4.36181	+	6.78710i	0.182856	+	0.284530i	−0.737709	+	0.675119i	$0.764092\pi$
$570$	4.46621	+	0.642144i	0.187069	+	0.0268964i
$571$	−19.4896	+	30.3264i	−0.815615	+	1.26912i	0.144497	+	0.989505i	$0.453844\pi$
$571$	−19.4896	+	30.3264i	−0.815615	+	1.26912i	−0.960112	+	0.279617i	$0.909793\pi$
$572$	12.1678	−	14.0424i	0.508761	−	0.587142i
$573$	6.47964	+	1.90259i	0.270691	+	0.0794820i
$574$	1.57250	+	1.57596i	0.0656348	+	0.0657793i
$575$	−8.62198	−	6.33719i	−0.359561	−	0.264279i
$576$	2.93108			0.122128
$577$	−4.26372	+	14.5209i	−0.177501	+	0.604513i	0.821891	+	0.569645i	$0.192919\pi$
$577$	−4.26372	+	14.5209i	−0.177501	+	0.604513i	−0.999392	+	0.0348678i	$0.988899\pi$
$578$	−15.9510	+	18.4085i	−0.663475	+	0.765691i
$579$	−0.303284	+	0.471919i	−0.0126040	+	0.0196123i
$580$	3.78547	−	26.3285i	0.157183	−	1.09323i
$581$	−8.41630	+	38.4852i	−0.349167	+	1.59664i
$582$	4.02150	−	1.83656i	0.166697	−	0.0761278i
$583$	−23.3937	−	26.9978i	−0.968870	−	1.11814i
$584$	14.2859	−	2.05400i	0.591153	−	0.0849950i
$585$	33.5011	+	15.2994i	1.38510	+	0.632554i
$586$	−29.0601	+	8.53280i	−1.20046	+	0.352487i
$587$	−5.44577	−	18.5466i	−0.224771	−	0.765499i	−0.992232	−	0.124404i	$-0.960298\pi$
$587$	−5.44577	−	18.5466i	−0.224771	−	0.765499i	0.767461	−	0.641096i	$-0.221520\pi$
$588$	−0.767091	+	1.66996i	−0.0316343	+	0.0688681i
$589$	2.33162	−	0.335236i	0.0960727	−	0.0138132i
$590$	4.03504	−	3.49638i	0.166120	−	0.143944i
$591$	−2.67463	+	1.22146i	−0.110020	+	0.0502443i
$592$	−3.13647	−	4.88045i	−0.128908	−	0.200585i
$593$	18.7252	+	2.69227i	0.768951	+	0.110558i	0.515615	−	0.856820i	$-0.327563\pi$
$593$	18.7252	+	2.69227i	0.768951	+	0.110558i	0.253335	+	0.967379i	$0.418472\pi$
$594$	−5.20887	−	3.34754i	−0.213722	−	0.137351i
$595$	−3.21388	−	45.6414i	−0.131756	−	1.87111i
$596$	0.570934	−	1.94442i	0.0233864	−	0.0796467i
$597$		−	3.45723i		−	0.141495i
$598$	10.9115	+	19.5731i	0.446205	+	0.800405i
$599$	10.3896			0.424508			0.212254	−	0.977215i	$-0.431920\pi$
$599$	10.3896			0.424508			0.212254	+	0.977215i	$0.431920\pi$
$600$	−0.165027	+	0.562029i	−0.00673718	+	0.0229447i
$601$	−18.1294	−	15.7092i	−0.739512	−	0.640791i	0.201374	−	0.979514i	$-0.435459\pi$
$601$	−18.1294	−	15.7092i	−0.739512	−	0.640791i	−0.940886	+	0.338724i	$0.890005\pi$
$602$	−1.07731	−	4.97869i	−0.0439080	−	0.202916i
$603$	10.9279	+	1.57120i	0.445019	+	0.0639840i
$604$	−0.671212	+	0.431362i	−0.0273112	+	0.0175519i
$605$	5.37612	+	11.7721i	0.218570	+	0.478602i
$606$	−1.01683	−	1.17348i	−0.0413059	−	0.0476695i
$607$	22.9359	−	3.29768i	0.930939	−	0.133849i	0.339873	−	0.940471i	$-0.389616\pi$
$607$	22.9359	−	3.29768i	0.930939	−	0.133849i	0.591067	+	0.806623i	$0.298707\pi$
$608$	−2.65509	+	5.81383i	−0.107678	+	0.235782i
$609$	6.02655	+	3.29936i	0.244208	+	0.133697i
$610$	−18.1680	+	5.33462i	−0.735602	+	0.215992i
$611$	−1.99074	+	4.35912i	−0.0805369	+	0.176351i
$612$	−2.68260	−	18.6579i	−0.108438	−	0.754202i
$613$	30.5382	−	26.4615i	1.23342	−	1.06877i	0.238194	−	0.971218i	$-0.423445\pi$
$613$	30.5382	−	26.4615i	1.23342	−	1.06877i	0.995231	−	0.0975511i	$-0.0311009\pi$
$614$	11.7885	−	5.38364i	0.475747	−	0.217266i
$615$	−0.499743	+	0.321165i	−0.0201516	+	0.0129506i
$616$	8.42931	−	6.29564i	0.339627	−	0.253659i
$617$	19.7876	−	30.7901i	0.796619	−	1.23956i	−0.170530	−	0.985352i	$-0.554548\pi$
$617$	19.7876	−	30.7901i	0.796619	−	1.23956i	0.967149	−	0.254211i	$-0.0818157\pi$
$618$	−2.85888	−	2.47724i	−0.115001	−	0.0996491i
$619$	−17.8845	−	5.25137i	−0.718839	−	0.211070i	−0.0982004	−	0.995167i	$-0.531309\pi$
$619$	−17.8845	−	5.25137i	−0.718839	−	0.211070i	−0.620639	+	0.784096i	$0.713127\pi$
$620$			0.991081i			0.0398028i
$621$	5.93863	−	4.52736i	0.238309	−	0.181677i
$622$		−	10.8939i		−	0.436806i
$623$	9.39820	−	5.11839i	0.376531	−	0.205064i
$624$	0.803324	−	0.927085i	0.0321587	−	0.0371131i
$625$	−26.2284	−	16.8560i	−1.04914	−	0.674238i
$626$	−1.69494	+	11.7886i	−0.0677434	+	0.471166i
$627$	5.61314	−	3.60735i	0.224167	−	0.144064i
$628$	2.37577	+	5.20221i	0.0948035	+	0.207591i
$629$	−28.1962	+	24.4321i	−1.12425	+	0.974172i
$630$	16.6804	+	12.5155i	0.664564	+	0.498628i
$631$	13.0282	+	5.94979i	0.518646	+	0.236858i	0.657499	−	0.753455i	$-0.271614\pi$
$631$	13.0282	+	5.94979i	0.518646	+	0.236858i	−0.138853	+	0.990313i	$0.544342\pi$
$632$	−0.312505	−	1.06429i	−0.0124308	−	0.0423353i
$633$	−0.0539303	−	0.183670i	−0.00214354	−	0.00730022i
$634$	−5.36492	+	11.7475i	−0.213068	+	0.466554i
$635$	4.08793	+	28.4322i	0.162224	+	1.12830i
$636$	−1.54447	−	1.78241i	−0.0612421	−	0.0706771i
$637$	−13.5221	−	29.7824i	−0.535764	−	1.18002i
$638$	−21.2655	−	33.0897i	−0.841908	−	1.31003i
$639$	0.536867	−	3.73399i	0.0212381	−	0.147715i
$640$	−2.26220	−	1.45383i	−0.0894215	−	0.0574677i
$641$	−8.94378	−	7.74983i	−0.353258	−	0.306100i	0.460096	−	0.887869i	$-0.347815\pi$
$641$	−8.94378	−	7.74983i	−0.353258	−	0.306100i	−0.813354	+	0.581770i	$0.802361\pi$
$642$	3.99442	+	1.17287i	0.157647	+	0.0462894i
$643$	3.78314			0.149192			0.0745962	−	0.997214i	$-0.476233\pi$
$643$	3.78314			0.149192			0.0745962	+	0.997214i	$0.476233\pi$
$644$	3.66799	+	12.1468i	0.144539	+	0.478653i
$645$	1.35922			0.0535191
$646$	39.4382	+	11.5801i	1.55168	+	0.455613i
$647$	25.4972	+	22.0935i	1.00240	+	0.868584i	0.991335	−	0.131355i	$-0.0419327\pi$
$647$	25.4972	+	22.0935i	1.00240	+	0.868584i	0.0110641	+	0.999939i	$0.496478\pi$
$648$	7.05345	+	4.53297i	0.277086	+	0.178072i
$649$	1.12361	−	7.81490i	0.0441057	−	0.306762i
$650$	−5.63645	−	8.77049i	−0.221080	−	0.344007i
$651$	−0.239757	−	0.0897254i	−0.00939683	−	0.00351662i
$652$	6.48395	+	7.48288i	0.253931	+	0.293052i
$653$	0.0614526	+	0.427412i	0.00240483	+	0.0167259i	0.990989	−	0.133947i	$-0.0427651\pi$
$653$	0.0614526	+	0.427412i	0.00240483	+	0.0167259i	−0.988584	+	0.150673i	$0.951856\pi$
$654$	1.00237	−	2.19488i	0.0391958	−	0.0858268i
$655$	12.4812	+	42.5070i	0.487680	+	1.66088i
$656$	−0.237067	−	0.807376i	−0.00925591	−	0.0315227i
$657$	38.4807	+	17.5735i	1.50127	+	0.685609i
$658$	−1.62850	+	2.17044i	−0.0634854	+	0.0846124i
$659$	3.35202	−	2.90455i	0.130576	−	0.113145i	−0.587124	−	0.809497i	$-0.699740\pi$
$659$	3.35202	−	2.90455i	0.130576	−	0.113145i	0.717701	+	0.696352i	$0.245195\pi$
$660$	1.16619	+	2.55360i	0.0453939	+	0.0993988i
$661$	−14.5303	+	9.33804i	−0.565162	+	0.363208i	−0.791808	−	0.610770i	$-0.790860\pi$
$661$	−14.5303	+	9.33804i	−0.565162	+	0.363208i	0.226646	+	0.973977i	$0.427224\pi$
$662$	−1.78817	+	12.4370i	−0.0694991	+	0.483377i
$663$	−6.63663	−	4.26511i	−0.257745	−	0.165643i
$664$	9.75076	−	11.2530i	0.378403	−	0.436700i
$665$	−39.9343	+	21.7488i	−1.54859	+	0.843382i
$666$		−	17.0044i		−	0.658905i
$667$	46.2639	−	10.4896i	1.79135	−	0.406159i
$668$		−	0.764452i		−	0.0295775i
$669$	−6.46392	−	1.89798i	−0.249909	−	0.0733800i
$670$	−7.65483	−	6.63294i	−0.295732	−	0.256253i
$671$	−15.1381	+	23.5554i	−0.584401	+	0.909346i
$672$	0.556507	−	0.415642i	0.0214677	−	0.0160337i
$673$	−30.3153	+	19.4825i	−1.16857	+	0.750994i	−0.973251	−	0.229746i	$-0.926210\pi$
$673$	−30.3153	+	19.4825i	−1.16857	+	0.750994i	−0.195319	+	0.980740i	$0.562574\pi$
$674$	−4.97917	+	2.27391i	−0.191791	+	0.0875878i
$675$	−2.62560	+	2.27509i	−0.101059	+	0.0875684i
$676$	1.25713	+	8.74352i	0.0483511	+	0.336289i
$677$	8.94886	−	19.5953i	0.343933	−	0.753108i	−0.656066	−	0.754704i	$-0.727781\pi$
$677$	8.94886	−	19.5953i	0.343933	−	0.753108i	0.999999	+	0.00159582i	$0.000507965\pi$
$678$	−2.34853	+	0.689591i	−0.0901948	+	0.0264836i
$679$	−21.3957	+	39.0810i	−0.821091	+	1.49979i
$680$	−7.18400	+	15.7308i	−0.275494	+	0.603247i
$681$	1.70831	−	0.245618i	0.0654627	−	0.00941211i
$682$	0.959744	+	1.10760i	0.0367505	+	0.0424123i
$683$	−11.1040	−	24.3143i	−0.424882	−	0.930361i	−0.994130	−	0.108195i	$-0.965493\pi$
$683$	−11.1040	−	24.3143i	−0.424882	−	0.930361i	0.569248	−	0.822166i	$-0.307234\pi$
$684$	−15.7598	+	10.1282i	−0.602591	+	0.387262i
$685$	−42.8309	−	6.15816i	−1.63649	−	0.235291i
$686$	−3.87702	−	18.1099i	−0.148025	−	0.691439i
$687$	−1.27982	−	1.10897i	−0.0488280	−	0.0423097i
$688$	−0.542425	+	1.84733i	−0.0206798	+	0.0704288i
$689$	41.9768			1.59919
$690$	−3.37483	+	0.271122i	−0.128478	+	0.0103214i
$691$			46.6825i			1.77588i	0.459955	+	0.887942i	$0.347866\pi$
$691$			46.6825i			1.77588i	−0.459955	+	0.887942i	$0.652134\pi$
$692$	−6.03192	+	20.5428i	−0.229299	+	0.780921i
$693$	30.7613	−	2.16608i	1.16852	−	0.0822826i
$694$	9.42183	+	6.05504i	0.357648	+	0.229846i
$695$	−19.3824	−	2.78677i	−0.735218	−	0.105708i
$696$	−1.40396	−	2.18460i	−0.0532169	−	0.0828071i
$697$	−4.92242	+	2.24800i	−0.186450	+	0.0851489i
$698$	−20.5657	+	17.8203i	−0.778424	+	0.674508i
$699$	−4.44939	+	0.639725i	−0.168291	+	0.0241966i
$700$	−2.05686	−	5.53324i	−0.0777420	−	0.209137i
$701$	3.28910	+	11.2016i	0.124228	+	0.423080i	0.997997	−	0.0632600i	$-0.0201498\pi$
$701$	3.28910	+	11.2016i	0.124228	+	0.423080i	−0.873770	+	0.486340i	$0.838332\pi$
$702$	6.98099	−	2.04980i	0.263481	−	0.0773649i
$703$	33.7283	+	15.4032i	1.27209	+	0.580943i
$704$	−3.93603	+	0.565916i	−0.148345	+	0.0213288i
$705$	−0.474140	−	0.547187i	−0.0178572	−	0.0206083i
$706$	7.43195	−	3.39406i	0.279705	−	0.127737i
$707$	15.2870	+	3.34311i	0.574928	+	0.125730i
$708$	0.0741815	−	0.515944i	0.00278791	−	0.0193904i
$709$	−11.9898	+	18.6566i	−0.450288	+	0.700662i	−0.989981	−	0.141200i	$-0.954904\pi$
$709$	−11.9898	+	18.6566i	−0.450288	+	0.700662i	0.539693	+	0.841862i	$0.318540\pi$
$710$	−2.26643	+	2.61561i	−0.0850578	+	0.0981619i
$711$	0.915975	−	3.11952i	0.0343518	−	0.116991i
$712$	−4.04482			−0.151586
$713$	−1.65061	+	0.632181i	−0.0618160	+	0.0236754i
$714$	−3.15512	−	3.16207i	−0.118077	−	0.118337i
$715$	−47.9413	−	14.0768i	−1.79290	−	0.526444i
$716$	5.59480	−	6.45674i	0.209087	−	0.241300i
$717$	−2.19259	+	3.41174i	−0.0818838	+	0.127414i
$718$	−20.6964	−	2.97570i	−0.772384	−	0.111052i
$719$	14.9857	+	23.3182i	0.558872	+	0.869622i	0.999608	−	0.0280150i	$-0.00891862\pi$
$719$	14.9857	+	23.3182i	0.558872	+	0.869622i	−0.440735	+	0.897637i	$0.645282\pi$
$720$	−3.27427	−	7.16965i	−0.122025	−	0.267197i
$721$	38.0228	+	2.76149i	1.41604	+	0.102843i
$722$	−3.10959	−	21.6277i	−0.115727	−	0.804898i
$723$	1.26377	+	0.577146i	0.0470002	+	0.0214643i
$724$	5.98948	−	1.75867i	0.222597	−	0.0653605i
$725$	−21.1759	+	6.21781i	−0.786454	+	0.230924i
$726$	1.14929	+	0.524862i	0.0426540	+	0.0194794i
$727$	−4.55316	−	31.6679i	−0.168867	−	1.17450i	−0.881230	−	0.472687i	$-0.843284\pi$
$727$	−4.55316	−	31.6679i	−0.168867	−	1.17450i	0.712363	−	0.701811i	$-0.247625\pi$
$728$	−0.895503	+	12.3301i	−0.0331895	+	0.456985i
$729$	9.69957	+	21.2391i	0.359243	+	0.786633i
$730$	−20.9828	−	32.6498i	−0.776608	−	1.20843i
$731$	12.2557	+	1.76211i	0.453294	+	0.0651739i
$732$	−0.999427	+	1.55514i	−0.0369399	+	0.0574796i
$733$	−18.4034	+	21.2386i	−0.679744	+	0.784467i	−0.985868	−	0.167525i	$-0.946422\pi$
$733$	−18.4034	+	21.2386i	−0.679744	+	0.784467i	0.306124	+	0.951992i	$0.400968\pi$
$734$	12.3533	+	3.62726i	0.455970	+	0.133885i
$735$	4.94177	+	0.0108724i	0.182280	+	0.000401036i
$736$	0.978317	−	4.69499i	0.0360612	−	0.173059i
$737$	−14.9780			−0.551723
$738$	0.694862	−	2.36648i	0.0255782	−	0.0871114i
$739$	16.2261	−	18.7259i	0.596887	−	0.688844i	−0.374261	−	0.927323i	$-0.622104\pi$
$739$	16.2261	−	18.7259i	0.596887	−	0.688844i	0.971147	+	0.238480i	$0.0766490\pi$
$740$	−8.43425	+	13.1240i	−0.310049	+	0.482446i
$741$	−1.11581	+	7.76059i	−0.0409901	+	0.285093i
$742$	23.2195	+	5.07786i	0.852416	+	0.186414i
$743$	−34.8329	+	15.9076i	−1.27789	+	0.583595i	−0.934622	−	0.355642i	$-0.884262\pi$
$743$	−34.8329	+	15.9076i	−1.27789	+	0.583595i	−0.343271	+	0.939236i	$0.611535\pi$
$744$	0.0633627	+	0.0731245i	0.00232299	+	0.00268087i
$745$	−5.39400	+	0.775540i	−0.197621	+	0.0284136i
$746$	−14.5950	−	6.66530i	−0.534360	−	0.244034i
$747$	41.8754	−	12.2957i	1.53214	−	0.449877i
$748$	7.20474	+	24.5371i	0.263431	+	0.897165i
$749$	−39.3255	+	14.6184i	−1.43692	+	0.534145i
$750$	−1.93480	+	0.278182i	−0.0706489	+	0.0101578i
$751$	−5.46601	+	4.73633i	−0.199458	+	0.172831i	−0.748863	−	0.662725i	$-0.769400\pi$
$751$	−5.46601	+	4.73633i	−0.199458	+	0.172831i	0.549405	+	0.835556i	$0.314854\pi$
$752$	0.932906	−	0.426044i	0.0340196	−	0.0155362i
$753$	−1.34958	−	2.09999i	−0.0491814	−	0.0765278i
$754$	45.7491	+	6.57772i	1.66608	+	0.239547i
$755$	1.80495	+	1.15997i	0.0656888	+	0.0422156i
$756$	4.10950	−	0.289374i	0.149461	−	0.0105244i
$757$	−1.15903	+	3.94729i	−0.0421256	+	0.143467i	−0.977871	−	0.209211i	$-0.932911\pi$
$757$	−1.15903	+	3.94729i	−0.0421256	+	0.143467i	0.935745	+	0.352677i	$0.114729\pi$
$758$			33.1037i			1.20238i
$759$	−3.50907	+	3.57112i	−0.127371	+	0.129624i
$760$	17.1870			0.623440
$761$	1.67186	−	5.69384i	0.0606050	−	0.206402i	−0.923624	−	0.383299i	$-0.874788\pi$
$761$	1.67186	−	5.69384i	0.0606050	−	0.206402i	0.984229	+	0.176897i	$0.0566061\pi$
$762$	2.11937	+	1.83644i	0.0767767	+	0.0665274i
$763$	5.14286	+	23.7672i	0.186184	+	0.860430i
$764$	25.4616	+	3.66082i	0.921168	+	0.132444i
$765$	−42.6421	+	27.4044i	−1.54173	+	0.990808i
$766$	−9.11839	−	19.9665i	−0.329461	−	0.721418i
$767$	6.07540	+	7.01138i	0.219370	+	0.253166i
$768$	−0.259859	+	0.0373621i	−0.00937685	+	0.00134819i
$769$	−3.40406	+	7.45384i	−0.122753	+	0.268792i	−0.961026	−	0.276460i	$-0.910839\pi$
$769$	−3.40406	+	7.45384i	−0.122753	+	0.268792i	0.838272	+	0.545252i	$0.183566\pi$
$770$	−24.8159	−	13.5860i	−0.894303	−	0.489605i
$771$	0.507074	−	0.148890i	0.0182618	−	0.00536215i
$772$	−0.887650	+	1.94368i	−0.0319472	+	0.0699546i
$773$	−3.44528	−	23.9625i	−0.123918	−	0.861870i	−0.953049	−	0.302816i	$-0.902073\pi$
$773$	−3.44528	−	23.9625i	−0.123918	−	0.861870i	0.829131	−	0.559055i	$-0.188836\pi$
$774$	−4.26489	+	3.69555i	−0.153298	+	0.132834i
$775$	0.748008	−	0.341604i	0.0268692	−	0.0122708i
$776$	14.1667	−	9.10439i	0.508555	−	0.326829i
$777$	−2.41130	−	3.22852i	−0.0865050	−	0.115823i
$778$	−13.2588	+	20.6311i	−0.475350	+	0.739660i
$779$	4.06451	+	3.52192i	0.145626	+	0.126186i
$780$	−3.16511	−	0.929359i	−0.113329	−	0.0332764i
$781$			5.11790i			0.183133i
$782$	−30.7816	−	1.93054i	−1.10075	−	0.0690360i
$783$		−	15.4021i		−	0.550425i
$784$	−1.98690	+	6.71210i	−0.0709607	+	0.239718i
$785$	10.0711	−	11.6226i	0.359452	−	0.414830i
$786$	3.63849	+	2.33831i	0.129781	+	0.0834049i
$787$	−7.75004	+	53.9027i	−0.276259	+	1.92143i	0.100151	+	0.994972i	$0.468067\pi$
$787$	−7.75004	+	53.9027i	−0.276259	+	1.92143i	−0.376410	+	0.926453i	$0.622842\pi$
$788$	−9.42204	+	6.05518i	−0.335646	+	0.215707i
$789$	0.119622	+	0.261936i	0.00425866	+	0.00932517i
$790$	−2.25425	+	1.95332i	−0.0802026	+	0.0694960i
$791$	14.8043	−	19.7310i	0.526381	−	0.701553i
$792$	−10.6022	−	4.84185i	−0.376732	−	0.172048i
$793$	−9.26957	−	31.5693i	−0.329172	−	1.12106i
$794$	7.66804	+	26.1149i	0.272128	+	0.926784i
$795$	−2.63461	+	5.76899i	−0.0934400	+	0.204605i
$796$	−1.87412	−	13.0348i	−0.0664264	−	0.462006i
$797$	−1.43872	−	1.66037i	−0.0509621	−	0.0588134i	0.729696	−	0.683772i	$-0.239662\pi$
$797$	−1.43872	−	1.66037i	−0.0509621	−	0.0588134i	−0.780658	+	0.624958i	$0.785116\pi$
$798$	−1.55599	+	4.15780i	−0.0550815	+	0.147185i
$799$	−3.56583	−	5.54854i	−0.126150	−	0.196293i
$800$	−0.317531	+	2.20848i	−0.0112264	+	0.0780814i
$801$	−9.97364	−	6.40967i	−0.352401	−	0.226474i
$802$	18.4700	+	16.0043i	0.652198	+	0.565133i
$803$	−55.0672	−	16.1692i	−1.94328	−	0.570599i
$804$	−0.988857			−0.0348743
$805$	25.6147	−	22.5413i	0.902799	−	0.794476i
$806$	−1.72213			−0.0606593
$807$	−0.357545	−	0.104985i	−0.0125862	−	0.00369563i
$808$	−4.46988	−	3.87318i	−0.157250	−	0.136258i
$809$	−37.8589	−	24.3304i	−1.33105	−	0.855412i	−0.334827	−	0.942279i	$-0.608678\pi$
$809$	−37.8589	−	24.3304i	−1.33105	−	0.855412i	−0.996220	+	0.0868673i	$0.972314\pi$
$810$	3.20870	−	22.3170i	0.112742	−	0.784140i
$811$	−5.84701	−	9.09812i	−0.205316	−	0.319478i	0.723290	−	0.690544i	$-0.242629\pi$
$811$	−5.84701	−	9.09812i	−0.205316	−	0.319478i	−0.928607	+	0.371066i	$0.878992\pi$
$812$	24.5104	+	9.17265i	0.860148	+	0.321897i
$813$	4.26097	+	4.91742i	0.149439	+	0.172462i
$814$	3.28311	+	22.8345i	0.115073	+	0.800349i
$815$	11.0606	−	24.2193i	0.387435	−	0.848365i
$816$	0.475660	+	1.61995i	0.0166514	+	0.0567096i
$817$	−3.46686	−	11.8070i	−0.121290	−	0.413076i
$818$	15.7582	+	7.19655i	0.550974	+	0.251621i
$819$	−21.7472	+	28.9843i	−0.759908	+	1.01279i
$820$	−1.71008	+	1.48179i	−0.0597186	+	0.0517465i
$821$	−5.47765	−	11.9944i	−0.191171	−	0.418607i	0.789639	−	0.613572i	$-0.210268\pi$
$821$	−5.47765	−	11.9944i	−0.191171	−	0.418607i	−0.980810	+	0.194965i	$0.937541\pi$
$822$	−3.55389	+	2.28394i	−0.123956	+	0.0796617i
$823$	−4.08285	+	28.3968i	−0.142319	+	0.989851i	0.786042	+	0.618173i	$0.212127\pi$
$823$	−4.08285	+	28.3968i	−0.142319	+	0.989851i	−0.928361	+	0.371679i	$0.878782\pi$
$824$	−12.1217	−	7.79017i	−0.422281	−	0.271383i
$825$	1.52534	−	1.76034i	0.0531056	−	0.0612872i
$826$	2.51246	+	4.61328i	0.0874196	+	0.160517i
$827$		−	23.3392i		−	0.811583i	−0.913966	−	0.405792i	$-0.866996\pi$
$827$		−	23.3392i		−	0.811583i	0.913966	−	0.405792i	$-0.133004\pi$
$828$	9.85227	−	10.0265i	0.342390	−	0.348445i
$829$		−	14.5624i		−	0.505774i	−0.967496	−	0.252887i	$-0.918620\pi$
$829$		−	14.5624i		−	0.505774i	0.967496	−	0.252887i	$-0.0813801\pi$
$830$	−38.4181	−	11.2806i	−1.33351	−	0.391555i
$831$	−4.16423	−	3.60832i	−0.144455	−	0.125171i
$832$	2.52621	−	3.93086i	0.0875806	−	0.136278i
$833$	44.5447	+	6.50462i	1.54338	+	0.225372i
$834$	−1.60825	+	1.03356i	−0.0556892	+	0.0357893i
$835$	−1.86991	+	0.853959i	−0.0647109	+	0.0295525i
$836$	19.2077	−	16.6436i	0.664314	−	0.575631i
$837$	0.0816712	+	0.568036i	0.00282297	+	0.0196342i
$838$	1.05518	−	2.31052i	0.0364506	−	0.0798157i
$839$	−5.47204	+	1.60674i	−0.188916	+	0.0554707i	−0.374822	−	0.927097i	$-0.622296\pi$
$839$	−5.47204	+	1.60674i	−0.188916	+	0.0554707i	0.185906	+	0.982568i	$0.440478\pi$
$840$	−1.63836	−	0.896953i	−0.0565288	−	0.0309478i
$841$	28.5983	−	62.6216i	0.986149	−	2.15936i
$842$	−8.88421	+	1.27736i	−0.306170	+	0.0440206i
$843$	−1.30797	−	1.50948i	−0.0450490	−	0.0519893i
$844$	−0.302899	−	0.663255i	−0.0104262	−	0.0228302i
$845$	19.9830	−	12.8423i	0.687437	−	0.441789i
$846$	2.97548	+	0.427809i	0.102299	+	0.0147084i
$847$	−12.4450	+	2.69291i	−0.427615	+	0.0925294i
$848$	−6.78933	−	5.88298i	−0.233146	−	0.202023i
$849$	−0.545444	+	1.85761i	−0.0187196	+	0.0637531i
$850$	14.3488			0.492159
$851$	−27.2375	−	5.67561i	−0.933689	−	0.194557i
$852$			0.337886i			0.0115758i
$853$	1.76925	−	6.02552i	0.0605780	−	0.206310i	−0.923643	−	0.383255i	$-0.874803\pi$
$853$	1.76925	−	6.02552i	0.0605780	−	0.206310i	0.984221	+	0.176945i	$0.0566214\pi$
$854$	−1.30860	−	18.5839i	−0.0447793	−	0.635927i
$855$	42.3795	+	27.2356i	1.44935	+	0.931439i
$856$	15.6960	+	2.25674i	0.536477	+	0.0771338i
$857$	−4.98700	−	7.75992i	−0.170353	−	0.265074i	0.745571	−	0.666426i	$-0.232177\pi$
$857$	−4.98700	−	7.75992i	−0.170353	−	0.265074i	−0.915924	+	0.401352i	$0.868540\pi$
$858$	−4.43720	+	2.02640i	−0.151484	+	0.0691803i
$859$	3.11913	−	2.70274i	0.106423	−	0.0922163i	−0.600024	−	0.799982i	$-0.704842\pi$
$859$	3.11913	−	2.70274i	0.106423	−	0.0922163i	0.706447	+	0.707766i	$0.250297\pi$
$860$	5.12465	−	0.736814i	0.174749	−	0.0251251i
$861$	−0.203650	−	0.547845i	−0.00694036	−	0.0186705i
$862$	2.75542	+	9.38410i	0.0938500	+	0.319624i
$863$	54.9625	−	16.1384i	1.87094	−	0.549359i	0.872827	−	0.488030i	$-0.162284\pi$
$863$	54.9625	−	16.1384i	1.87094	−	0.549359i	0.998118	−	0.0613291i	$-0.0195339\pi$
$864$	−1.41638	−	0.646840i	−0.0481863	−	0.0220059i
$865$	56.9876	−	8.19358i	1.93764	−	0.278590i
$866$	−2.74083	−	3.16309i	−0.0931373	−	0.107486i
$867$	5.81683	−	2.65646i	0.197550	−	0.0902180i
$868$	−0.952596	−	0.208322i	−0.0323332	−	0.00707092i
$869$	−0.627728	+	4.36594i	−0.0212942	+	0.148105i
$870$	−3.77536	+	5.87458i	−0.127997	+	0.199167i
$871$	11.5256	−	13.3012i	0.390529	−	0.450695i
$872$	2.58942	−	8.81875i	0.0876888	−	0.298641i
$873$	49.3593			1.67056
$874$	10.9631	+	28.6245i	0.370833	+	0.968238i
$875$	13.9447	−	13.9141i	0.471417	−	0.470381i
$876$	−3.63557	−	1.06750i	−0.122834	−	0.0360674i
$877$	−22.6880	+	26.1833i	−0.766118	+	0.884147i	−0.996026	−	0.0890650i	$-0.971612\pi$
$877$	−22.6880	+	26.1833i	−0.766118	+	0.884147i	0.229908	+	0.973212i	$0.426158\pi$
$878$	−2.83787	+	4.41581i	−0.0957735	+	0.149026i
$879$	7.87032	+	1.13158i	0.265459	+	0.0381673i
$880$	5.78117	+	8.99567i	0.194883	+	0.303244i
$881$	11.6266	+	25.4587i	0.391710	+	0.857726i	0.998044	+	0.0625155i	$0.0199123\pi$
$881$	11.6266	+	25.4587i	0.391710	+	0.857726i	−0.606334	+	0.795210i	$0.707360\pi$
$882$	−15.5356	+	13.4020i	−0.523112	+	0.451268i
$883$	0.548965	+	3.81813i	0.0184741	+	0.128490i	0.996971	−	0.0777695i	$-0.0247798\pi$
$883$	0.548965	+	3.81813i	0.0184741	+	0.128490i	−0.978497	+	0.206260i	$0.933871\pi$
$884$	−27.3342	−	12.4831i	−0.919348	−	0.419852i
$885$	−1.34491	+	0.394900i	−0.0452085	+	0.0132744i
$886$	−16.7894	+	4.92981i	−0.564051	+	0.165620i
$887$	5.73310	+	2.61822i	0.192499	+	0.0879112i	0.509332	−	0.860570i	$-0.329892\pi$
$887$	5.73310	+	2.61822i	0.192499	+	0.0879112i	−0.316834	+	0.948481i	$0.602620\pi$
$888$	0.216752	+	1.50755i	0.00727373	+	0.0505899i
$889$	−28.1874	−	2.04717i	−0.945374	−	0.0686599i
$890$	4.51842	+	9.89395i	0.151458	+	0.331646i
$891$	−18.0254	−	28.0481i	−0.603874	−	0.939646i
$892$	−25.3998	−	3.65194i	−0.850448	−	0.122276i
$893$	−3.54387	+	5.51437i	−0.118591	+	0.184531i
$894$	−0.348401	+	0.402076i	−0.0116523	+	0.0134474i
$895$	−22.0436	−	6.47258i	−0.736835	−	0.216354i
$896$	1.87289	−	1.86877i	0.0625687	−	0.0624312i
$897$	−0.471109	−	5.86420i	−0.0157299	−	0.195800i
$898$	12.4534			0.415577
$899$	−1.02708	+	3.49792i	−0.0342551	+	0.116662i
$900$	−4.28265	+	4.94244i	−0.142755	+	0.164748i
$901$	−31.2347	+	48.6021i	−1.04058	+	1.61917i
$902$	−0.476197	+	3.31202i	−0.0158556	+	0.110278i
$903$	−0.285703	+	1.30644i	−0.00950761	+	0.0434755i
$904$	−8.48085	+	3.87308i	−0.282069	+	0.128817i
$905$	−10.9926	−	12.6862i	−0.365407	−	0.421702i
$906$	0.207334	−	0.0298101i	0.00688821	−	0.000990375i
$907$	52.7251	+	24.0787i	1.75071	+	0.799521i	0.988319	+	0.152402i	$0.0487009\pi$
$907$	52.7251	+	24.0787i	1.75071	+	0.799521i	0.762389	+	0.647119i	$0.224026\pi$
$908$	6.30771	−	1.85211i	0.209329	−	0.0614644i
$909$	−4.88408	−	16.6336i	−0.161995	−	0.551703i
$910$	31.1608	−	11.5834i	1.03297	−	0.383985i
$911$	21.2956	−	3.06185i	0.705555	−	0.101444i	0.219808	−	0.975543i	$-0.429457\pi$
$911$	21.2956	−	3.06185i	0.705555	−	0.101444i	0.485747	+	0.874100i	$0.338548\pi$
$912$	1.26810	−	1.09882i	0.0419911	−	0.0363855i
$913$	−53.8589	+	24.5965i	−1.78247	+	0.814026i
$914$	−0.710952	−	1.10626i	−0.0235162	−	0.0365919i
$915$	4.92044	+	0.707452i	0.162665	+	0.0233877i
$916$	−5.42645	−	3.48737i	−0.179295	−	0.115226i
$917$	−43.4799	+	3.06167i	−1.43583	+	0.101105i
$918$	−2.82118	+	9.60805i	−0.0931128	+	0.317113i
$919$			55.0009i			1.81431i	0.420793	+	0.907157i	$0.361752\pi$
$919$			55.0009i			1.81431i	−0.420793	+	0.907157i	$0.638248\pi$
$920$	−12.5772	+	2.85167i	−0.414657	+	0.0940167i
$921$	−3.40232			−0.112110
$922$	4.74513	−	16.1604i	0.156273	−	0.532216i
$923$	−4.54494	−	3.93822i	−0.149599	−	0.129628i
$924$	−2.69957	+	0.584147i	−0.0888095	+	0.0192170i
$925$	12.8123	+	1.84212i	0.421265	+	0.0605687i
$926$	22.7561	−	14.6244i	0.747811	−	0.480589i
$927$	−17.5448	−	38.4177i	−0.576245	−	1.26180i
$928$	−6.47759	−	7.47553i	−0.212637	−	0.245396i
$929$	8.85574	−	1.27326i	0.290548	−	0.0417744i	0.00450005	−	0.999990i	$-0.498568\pi$
$929$	8.85574	−	1.27326i	0.290548	−	0.0417744i	0.286047	+	0.958215i	$0.407658\pi$
$930$	0.108087	−	0.236677i	0.00354430	−	0.00776094i
$931$	−12.5102	−	42.9552i	−0.410005	−	1.40780i
$932$	−16.4287	+	4.82392i	−0.538141	+	0.158013i
$933$	−1.18808	+	2.60154i	−0.0388961	+	0.0851705i
$934$	1.93544	+	13.4613i	0.0633295	+	0.440466i
$935$	51.9713	−	45.0334i	1.69964	−	1.47275i
$936$	12.4582	−	5.68945i	0.407208	−	0.185966i
$937$	18.1857	−	11.6873i	0.594102	−	0.381806i	−0.208764	−	0.977966i	$-0.566944\pi$
$937$	18.1857	−	11.6873i	0.594102	−	0.381806i	0.802866	+	0.596160i	$0.203308\pi$
$938$	7.98441	−	5.96336i	0.260700	−	0.194711i
$939$	1.69042	−	2.63034i	0.0551647	−	0.0858379i
$940$	−2.08428	−	1.80603i	−0.0679816	−	0.0589064i
$941$	8.11044	+	2.38144i	0.264393	+	0.0776328i	0.411242	−	0.911526i	$-0.365095\pi$
$941$	8.11044	+	2.38144i	0.264393	+	0.0776328i	−0.146849	+	0.989159i	$0.546913\pi$
$942$		−	1.50142i		−	0.0489190i
$943$	−3.55869	−	1.90290i	−0.115887	−	0.0619668i
$944$		−	1.98548i		−	0.0646217i
$945$	−5.29850	−	9.72891i	−0.172360	−	0.316482i
$946$	5.01365	−	5.78606i	0.163008	−	0.188121i
$947$	43.6228	+	28.0347i	1.41755	+	0.911004i	0.999997	+	0.00235118i	$0.000748406\pi$
$947$	43.6228	+	28.0347i	1.41755	+	0.911004i	0.417553	+	0.908653i	$0.362888\pi$
$948$	−0.0414429	+	0.288242i	−0.00134600	+	0.00936166i
$949$	56.7332	−	36.4602i	1.84164	−	1.18355i
$950$	−5.92399	−	12.9717i	−0.192200	−	0.420859i
$951$	2.56236	−	2.22030i	0.0830902	−	0.0719980i
$952$	−13.6099	−	10.2116i	−0.441098	−	0.330960i
$953$	42.1986	+	19.2715i	1.36695	+	0.624264i	0.957597	−	0.288112i	$-0.0930277\pi$
$953$	42.1986	+	19.2715i	1.36695	+	0.624264i	0.409352	+	0.912377i	$0.365755\pi$
$954$	−7.41845	−	25.2649i	−0.240181	−	0.817982i
$955$	−19.4881	−	66.3705i	−0.630621	−	2.14770i
$956$	−6.41727	+	14.0519i	−0.207549	+	0.454470i
$957$	1.46959	+	10.2212i	0.0475052	+	0.330406i
$958$	2.23665	+	2.58123i	0.0722628	+	0.0833958i
$959$	14.9220	−	39.8733i	0.481856	−	1.28758i
$960$	0.381676	+	0.593899i	0.0123185	+	0.0191680i
$961$	−4.39243	+	30.5500i	−0.141691	+	0.985484i
$962$	−22.8045	−	14.6556i	−0.735247	−	0.472515i
$963$	35.1266	+	30.4374i	1.13194	+	0.980831i
$964$	5.07767	+	1.49094i	0.163541	+	0.0480199i
$965$	5.74598			0.184970
$966$	0.448787	−	3.30078i	0.0144395	−	0.106201i
$967$	−21.6399			−0.695892			−0.347946	−	0.937514i	$-0.613121\pi$
$967$	−21.6399			−0.695892			−0.347946	+	0.937514i	$0.613121\pi$
$968$	4.61768	+	1.35587i	0.148418	+	0.0435794i
$969$	−8.15519	−	7.06651i	−0.261983	−	0.227009i
$970$	−38.0955	−	24.4825i	−1.22317	−	0.786086i
$971$	6.16276	−	42.8630i	0.197773	−	1.37554i	−0.612957	−	0.790117i	$-0.710020\pi$
$971$	6.16276	−	42.8630i	0.197773	−	1.37554i	0.810729	−	0.585422i	$-0.199071\pi$
$972$	−3.71553	−	5.78148i	−0.119176	−	0.185441i
$973$	6.75269	−	18.0440i	0.216481	−	0.578465i
$974$	5.41254	+	6.24640i	0.173429	+	0.200148i
$975$	0.389518	+	2.70916i	0.0124746	+	0.0867625i
$976$	−2.92512	+	6.40512i	−0.0936308	+	0.205023i
$977$	6.09243	+	20.7489i	0.194914	+	0.663816i	0.997715	+	0.0675686i	$0.0215242\pi$
$977$	6.09243	+	20.7489i	0.194914	+	0.663816i	−0.802801	+	0.596248i	$0.796658\pi$
$978$	−0.732333	−	2.49410i	−0.0234174	−	0.0797525i
$979$	14.6308	+	6.68165i	0.467601	+	0.213546i
$980$	18.6379	−	2.63788i	0.595365	−	0.0842640i
$981$	20.3597	−	17.6417i	0.650034	−	0.563257i
$982$	0.463420	+	1.01475i	0.0147883	+	0.0323819i
$983$	7.58595	−	4.87520i	0.241954	−	0.155495i	−0.414044	−	0.910257i	$-0.635884\pi$
$983$	7.58595	−	4.87520i	0.241954	−	0.155495i	0.655999	+	0.754762i	$0.272248\pi$
$984$	−0.0314387	+	0.218661i	−0.00100223	+	0.00697066i
$985$	25.3367	+	16.2829i	0.807294	+	0.518816i
$986$	−41.6574	+	48.0752i	−1.32664	+	1.53103i
$987$	0.625602	−	0.340712i	0.0199131	−	0.0108450i
$988$			29.8646i			0.950121i
$989$	4.49601	+	8.06496i	0.142965	+	0.256451i
$990$			31.3425i			0.996131i
$991$	−30.3107	−	8.90003i	−0.962852	−	0.282719i	−0.237724	−	0.971333i	$-0.576401\pi$
$991$	−30.3107	−	8.90003i	−0.962852	−	0.282719i	−0.725128	+	0.688614i	$0.758219\pi$
$992$	0.278537	+	0.241353i	0.00884354	+	0.00766297i
$993$	1.78340	−	2.77502i	0.0565944	−	0.0880625i
$994$	−2.03764	−	2.72822i	−0.0646301	−	0.0865339i
$995$	−29.7906	+	19.1452i	−0.944425	+	0.606945i
$996$	−3.55579	+	1.62387i	−0.112669	+	0.0514544i
$997$	−0.454546	+	0.393867i	−0.0143956	+	0.0124739i	−0.662029	−	0.749478i	$-0.730304\pi$
$997$	−0.454546	+	0.393867i	−0.0143956	+	0.0124739i	0.647633	+	0.761952i	$0.275759\pi$
$998$	1.65146	+	11.4862i	0.0522762	+	0.363589i
$999$	−3.75258	+	8.21699i	−0.118726	+	0.259974i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.k.a.97.5	yes	80
7.6	odd	2	inner	322.2.k.a.97.4	yes	80
23.14	odd	22	inner	322.2.k.a.83.4	✓	80
161.83	even	22	inner	322.2.k.a.83.5	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.83.4	✓	80	23.14	odd	22	inner
322.2.k.a.83.5	yes	80	161.83	even	22	inner
322.2.k.a.97.4	yes	80	7.6	odd	2	inner
322.2.k.a.97.5	yes	80	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.959493 - 0.281733i) q^{2} +(0.198408 + 0.171921i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.382697 - 2.66172i) q^{5} +(-0.141935 - 0.220855i) q^{6} +(2.47792 + 0.927322i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.417136 - 2.90124i) q^{9} +O(q^{10})\)	\(q+(-0.959493 - 0.281733i) q^{2} +(0.198408 + 0.171921i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.382697 - 2.66172i) q^{5} +(-0.141935 - 0.220855i) q^{6} +(2.47792 + 0.927322i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.417136 - 2.90124i) q^{9} +(-1.11709 + 2.44608i) q^{10} +(1.12031 + 3.81543i) q^{11} +(0.0739636 + 0.251897i) q^{12} +(-4.25037 - 1.94108i) q^{13} +(-2.11629 - 1.58787i) q^{14} +(0.533536 - 0.462311i) q^{15} +(0.415415 + 0.909632i) q^{16} +(5.41011 - 3.47687i) q^{17} +(-0.417136 + 2.90124i) q^{18} +(-5.37679 - 3.45545i) q^{19} +(1.76098 - 2.03228i) q^{20} +(0.332212 + 0.609995i) q^{21} -3.97651i q^{22} +(4.50797 + 1.63652i) q^{23} -0.262531i q^{24} +(-2.14081 - 0.628598i) q^{25} +(3.53133 + 3.05992i) q^{26} +(0.841828 - 1.30991i) q^{27} +(1.58321 + 2.11978i) q^{28} +(8.32130 - 5.34778i) q^{29} +(-0.642172 + 0.293270i) q^{30} +(-0.278537 + 0.241353i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-0.433676 + 0.949617i) q^{33} +(-6.17051 + 1.81182i) q^{34} +(3.41656 - 6.24063i) q^{35} +(1.21761 - 2.66620i) q^{36} +(-5.74235 + 0.825626i) q^{37} +(4.18548 + 4.83030i) q^{38} +(-0.509594 - 1.11585i) q^{39} +(-2.26220 + 1.45383i) q^{40} +(-0.832896 - 0.119752i) q^{41} +(-0.146899 - 0.678880i) q^{42} +(1.45506 + 1.26082i) q^{43} +(-1.12031 + 3.81543i) q^{44} -7.88192 q^{45} +(-3.86430 - 2.84028i) q^{46} -1.02559i q^{47} +(-0.0739636 + 0.251897i) q^{48} +(5.28015 + 4.59565i) q^{49} +(1.87699 + 1.20627i) q^{50} +(1.67116 + 0.240276i) q^{51} +(-2.52621 - 3.93086i) q^{52} +(-8.17174 + 3.73191i) q^{53} +(-1.17677 + 1.01968i) q^{54} +(10.5843 - 1.52180i) q^{55} +(-0.921868 - 2.47995i) q^{56} +(-0.472731 - 1.60997i) q^{57} +(-9.49087 + 2.78677i) q^{58} +(-1.80605 - 0.824797i) q^{59} +(0.698783 - 0.100470i) q^{60} +(4.61116 + 5.32157i) q^{61} +(0.335251 - 0.153104i) q^{62} +(1.65676 - 7.57586i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-6.79320 + 10.5704i) q^{65} +(0.683647 - 0.788970i) q^{66} +(-1.06118 + 3.61405i) q^{67} +6.43101 q^{68} +(0.613063 + 1.09972i) q^{69} +(-5.03635 + 5.02528i) q^{70} +(1.23490 + 0.362599i) q^{71} +(-1.91945 + 2.21516i) q^{72} +(-7.80294 + 12.1416i) q^{73} +(5.74235 + 0.825626i) q^{74} +(-0.316684 - 0.492769i) q^{75} +(-2.65509 - 5.81383i) q^{76} +(-0.762093 + 10.4932i) q^{77} +(0.174579 + 1.21422i) q^{78} +(1.00899 + 0.460788i) q^{79} +(2.58016 - 0.757603i) q^{80} +(-8.04482 + 2.36217i) q^{81} +(0.765420 + 0.349556i) q^{82} +(2.11904 + 14.7383i) q^{83} +(-0.0503137 + 0.692767i) q^{84} +(-7.18400 - 15.7308i) q^{85} +(-1.04091 - 1.61968i) q^{86} +(2.57041 + 0.369569i) q^{87} +(2.14986 - 3.34525i) q^{88} +(2.64879 - 3.05687i) q^{89} +(7.56265 + 2.22059i) q^{90} +(-8.73206 - 8.75129i) q^{91} +(2.90757 + 3.81392i) q^{92} -0.0967576 q^{93} +(-0.288941 + 0.984043i) q^{94} +(-11.2551 + 12.9891i) q^{95} +(0.141935 - 0.220855i) q^{96} +(-2.39658 + 16.6686i) q^{97} +(-3.77152 - 5.89709i) q^{98} +(10.6022 - 4.84185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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