LMFDB - Embedded newform 588.2.x.a.55.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.14
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0312592 + 1.41387i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99805 - 0.0883928i) q^{4} +(1.63442 - 3.39390i) q^{5} +(0.641618 - 1.26029i) q^{6} +(0.364664 + 2.62050i) q^{7} +(0.187433 - 2.82221i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.0312592 + 1.41387i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99805 - 0.0883928i) q^{4} +(1.63442 - 3.39390i) q^{5} +(0.641618 - 1.26029i) q^{6} +(0.364664 + 2.62050i) q^{7} +(0.187433 - 2.82221i) q^{8} +(0.623490 + 0.781831i) q^{9} +(4.74743 + 2.41694i) q^{10} +(-3.48475 - 2.77900i) q^{11} +(1.76182 + 0.946559i) q^{12} +(0.0601076 + 0.0479342i) q^{13} +(-3.71644 + 0.433672i) q^{14} +(-2.94511 + 2.34865i) q^{15} +(3.98437 + 0.353226i) q^{16} +(-5.54435 - 1.26546i) q^{17} +(-1.12490 + 0.857093i) q^{18} -8.34358 q^{19} +(-3.56563 + 6.63669i) q^{20} +(0.808442 - 2.51921i) q^{21} +(4.03806 - 4.84011i) q^{22} +(6.27198 - 1.43154i) q^{23} +(-1.39338 + 2.46140i) q^{24} +(-5.72978 - 7.18492i) q^{25} +(-0.0696516 + 0.0834858i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-0.496982 - 5.26811i) q^{28} +(1.35757 - 5.94790i) q^{29} +(-3.22862 - 4.23742i) q^{30} -0.0893613 q^{31} +(-0.623963 + 5.62234i) q^{32} +(1.93389 + 4.01576i) q^{33} +(1.96251 - 7.79942i) q^{34} +(9.48972 + 3.04535i) q^{35} +(-1.17665 - 1.61725i) q^{36} +(1.67314 - 7.33048i) q^{37} +(0.260814 - 11.7967i) q^{38} +(-0.0333572 - 0.0692669i) q^{39} +(-9.27195 - 5.24879i) q^{40} +(-2.59948 + 5.39787i) q^{41} +(3.53656 + 1.22178i) q^{42} +(-1.87459 - 3.89263i) q^{43} +(6.71705 + 5.86059i) q^{44} +(3.67250 - 0.838224i) q^{45} +(1.82795 + 8.91250i) q^{46} +(-0.265244 + 0.332606i) q^{47} +(-3.43654 - 2.04700i) q^{48} +(-6.73404 + 1.91120i) q^{49} +(10.3376 - 7.87656i) q^{50} +(4.44622 + 3.54574i) q^{51} +(-0.115861 - 0.101088i) q^{52} +(-1.25947 - 5.51810i) q^{53} +(1.38538 - 0.284140i) q^{54} +(-15.1272 + 7.28485i) q^{55} +(7.46395 - 0.537990i) q^{56} +(7.51730 + 3.62014i) q^{57} +(8.36711 + 2.10535i) q^{58} +(-3.16168 + 1.52258i) q^{59} +(6.09208 - 4.43238i) q^{60} +(9.24207 + 2.10944i) q^{61} +(0.00279336 - 0.126345i) q^{62} +(-1.82143 + 1.91896i) q^{63} +(-7.92974 - 1.05795i) q^{64} +(0.260925 - 0.125655i) q^{65} +(-5.73821 + 2.60874i) q^{66} +0.257085i q^{67} +(10.9660 + 3.01853i) q^{68} +(-6.27198 - 1.43154i) q^{69} +(-4.60237 + 13.3220i) q^{70} +(8.57858 - 1.95800i) q^{71} +(2.32336 - 1.61308i) q^{72} +(-1.62689 + 1.29740i) q^{73} +(10.3120 + 2.59474i) q^{74} +(2.04494 + 8.95945i) q^{75} +(16.6709 + 0.737512i) q^{76} +(6.01159 - 10.1452i) q^{77} +(0.0989770 - 0.0449974i) q^{78} -3.00184i q^{79} +(7.71093 - 12.9452i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-7.55062 - 3.84405i) q^{82} +(-9.36338 - 11.7413i) q^{83} +(-1.83798 + 4.96204i) q^{84} +(-13.3566 + 16.7487i) q^{85} +(5.56226 - 2.52875i) q^{86} +(-3.80383 + 4.76985i) q^{87} +(-8.49607 + 9.31382i) q^{88} +(6.00822 - 4.79140i) q^{89} +(1.07034 + 5.21863i) q^{90} +(-0.103693 + 0.174992i) q^{91} +(-12.6582 + 2.30588i) q^{92} +(0.0805117 + 0.0387724i) q^{93} +(-0.461969 - 0.385417i) q^{94} +(-13.6369 + 28.3173i) q^{95} +(3.00161 - 4.79482i) q^{96} +1.98364i q^{97} +(-2.49169 - 9.58079i) q^{98} -4.45716i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−0.0312592	+	1.41387i	−0.0221036	+	0.999756i
$2$	−0.0312592	+	1.41387i	−0.0221036	+	0.999756i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	−1.99805	−	0.0883928i	−0.999023	−	0.0441964i
$5$	1.63442	−	3.39390i	0.730933	−	1.51780i	−0.120144	−	0.992756i	$-0.538336\pi$
$5$	1.63442	−	3.39390i	0.730933	−	1.51780i	0.851077	−	0.525041i	$-0.175950\pi$
$6$	0.641618	−	1.26029i	0.261939	−	0.514511i
$7$	0.364664	+	2.62050i	0.137830	+	0.990456i
$7$	0.364664	+	2.62050i	0.137830	+	0.990456i
$8$	0.187433	−	2.82221i	0.0662676	−	0.997802i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	4.74743	+	2.41694i	1.50127	+	0.764303i
$11$	−3.48475	−	2.77900i	−1.05069	−	0.837899i	−0.0635872	−	0.997976i	$-0.520254\pi$
$11$	−3.48475	−	2.77900i	−1.05069	−	0.837899i	−0.987104	+	0.160078i	$0.948826\pi$
$12$	1.76182	+	0.946559i	0.508595	+	0.273248i
$13$	0.0601076	+	0.0479342i	0.0166708	+	0.0132946i	0.631790	−	0.775140i	$-0.282321\pi$
$13$	0.0601076	+	0.0479342i	0.0166708	+	0.0132946i	−0.615119	+	0.788434i	$0.710892\pi$
$14$	−3.71644	+	0.433672i	−0.993260	+	0.115904i
$15$	−2.94511	+	2.34865i	−0.760425	+	0.606419i
$16$	3.98437	+	0.353226i	0.996093	+	0.0883064i
$17$	−5.54435	−	1.26546i	−1.34470	−	0.306920i	−0.511212	−	0.859454i	$-0.670803\pi$
$17$	−5.54435	−	1.26546i	−1.34470	−	0.306920i	−0.833490	+	0.552535i	$0.813661\pi$
$18$	−1.12490	+	0.857093i	−0.265141	+	0.202019i
$19$	−8.34358			−1.91415			−0.957074	−	0.289843i	$-0.906397\pi$
$19$	−8.34358			−1.91415			−0.957074	+	0.289843i	$0.906397\pi$
$20$	−3.56563	+	6.63669i	−0.797300	+	1.48401i
$21$	0.808442	−	2.51921i	0.176416	−	0.549737i
$22$	4.03806	−	4.84011i	0.860918	−	1.03191i
$23$	6.27198	−	1.43154i	1.30780	−	0.298496i	0.488852	−	0.872367i	$-0.337416\pi$
$23$	6.27198	−	1.43154i	1.30780	−	0.298496i	0.818946	+	0.573870i	$0.194559\pi$
$24$	−1.39338	+	2.46140i	−0.284423	+	0.502431i
$25$	−5.72978	−	7.18492i	−1.14596	−	1.43698i
$26$	−0.0696516	+	0.0834858i	−0.0136598	+	0.0163729i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−0.496982	−	5.26811i	−0.0939207	−	0.995580i
$29$	1.35757	−	5.94790i	0.252094	−	1.10450i	−0.677386	−	0.735627i	$-0.736888\pi$
$29$	1.35757	−	5.94790i	0.252094	−	1.10450i	0.929481	−	0.368870i	$-0.120255\pi$
$30$	−3.22862	−	4.23742i	−0.589463	−	0.773643i
$31$	−0.0893613			−0.0160498			−0.00802488	−	0.999968i	$-0.502554\pi$
$31$	−0.0893613			−0.0160498			−0.00802488	+	0.999968i	$0.502554\pi$
$32$	−0.623963	+	5.62234i	−0.110302	+	0.993898i
$33$	1.93389	+	4.01576i	0.336647	+	0.699055i
$34$	1.96251	−	7.79942i	0.336567	−	1.33759i
$35$	9.48972	+	3.04535i	1.60406	+	0.514759i
$36$	−1.17665	−	1.61725i	−0.196109	−	0.269541i
$37$	1.67314	−	7.33048i	0.275062	−	1.20512i	−0.628892	−	0.777493i	$-0.716491\pi$
$37$	1.67314	−	7.33048i	0.275062	−	1.20512i	0.903953	−	0.427631i	$-0.140652\pi$
$38$	0.260814	−	11.7967i	0.0423096	−	1.91368i
$39$	−0.0333572	−	0.0692669i	−0.00534143	−	0.0110916i
$40$	−9.27195	−	5.24879i	−1.46602	−	0.829907i
$41$	−2.59948	+	5.39787i	−0.405970	+	0.843006i	0.593307	+	0.804977i	$0.297822\pi$
$41$	−2.59948	+	5.39787i	−0.405970	+	0.843006i	−0.999277	+	0.0380290i	$0.987892\pi$
$42$	3.53656	+	1.22178i	0.545703	+	0.188524i
$43$	−1.87459	−	3.89263i	−0.285873	−	0.593621i	0.707739	−	0.706474i	$-0.249715\pi$
$43$	−1.87459	−	3.89263i	−0.285873	−	0.593621i	−0.993612	+	0.112853i	$0.964001\pi$
$44$	6.71705	+	5.86059i	1.01263	+	0.883517i
$45$	3.67250	−	0.838224i	0.547464	−	0.124955i
$46$	1.82795	+	8.91250i	0.269516	+	1.31408i
$47$	−0.265244	+	0.332606i	−0.0386899	+	0.0485155i	−0.800800	−	0.598932i	$-0.795592\pi$
$47$	−0.265244	+	0.332606i	−0.0386899	+	0.0485155i	0.762110	+	0.647447i	$0.224163\pi$
$48$	−3.43654	−	2.04700i	−0.496021	−	0.295459i
$49$	−6.73404	+	1.91120i	−0.962006	+	0.273029i
$50$	10.3376	−	7.87656i	1.46196	−	1.11391i
$51$	4.44622	+	3.54574i	0.622596	+	0.496504i
$52$	−0.115861	−	0.101088i	−0.0160670	−	0.0140184i
$53$	−1.25947	−	5.51810i	−0.173002	−	0.757969i	−0.984752	−	0.173965i	$-0.944342\pi$
$53$	−1.25947	−	5.51810i	−0.173002	−	0.757969i	0.811750	−	0.584005i	$-0.198515\pi$
$54$	1.38538	−	0.284140i	0.188526	−	0.0386665i
$55$	−15.1272	+	7.28485i	−2.03974	+	0.982289i
$56$	7.46395	−	0.537990i	0.997412	−	0.0718919i
$57$	7.51730	+	3.62014i	0.995691	+	0.479500i
$58$	8.36711	+	2.10535i	1.09866	+	0.276446i
$59$	−3.16168	+	1.52258i	−0.411616	+	0.198224i	−0.628220	−	0.778036i	$-0.716216\pi$
$59$	−3.16168	+	1.52258i	−0.411616	+	0.198224i	0.216604	+	0.976260i	$0.430502\pi$
$60$	6.09208	−	4.43238i	0.786484	−	0.572218i
$61$	9.24207	+	2.10944i	1.18333	+	0.270086i	0.768521	−	0.639824i	$-0.220993\pi$
$61$	9.24207	+	2.10944i	1.18333	+	0.270086i	0.414805	+	0.909910i	$0.363850\pi$
$62$	0.00279336	−	0.126345i	0.000354757	−	0.0160458i
$63$	−1.82143	+	1.91896i	−0.229478	+	0.241766i
$64$	−7.92974	−	1.05795i	−0.991217	−	0.132244i
$65$	0.260925	−	0.125655i	0.0323637	−	0.0155855i
$66$	−5.73821	+	2.60874i	−0.706325	+	0.321113i
$67$			0.257085i			0.0314079i	0.999877	+	0.0157039i	$0.00499893\pi$
$67$			0.257085i			0.0314079i	−0.999877	+	0.0157039i	$0.995001\pi$
$68$	10.9660	+	3.01853i	1.32982	+	0.366051i
$69$	−6.27198	−	1.43154i	−0.755058	−	0.172337i
$70$	−4.60237	+	13.3220i	−0.550088	+	1.59229i
$71$	8.57858	−	1.95800i	1.01809	−	0.232372i	0.319265	−	0.947665i	$-0.396564\pi$
$71$	8.57858	−	1.95800i	1.01809	−	0.232372i	0.698825	+	0.715293i	$0.253707\pi$
$72$	2.32336	−	1.61308i	0.273810	−	0.190103i
$73$	−1.62689	+	1.29740i	−0.190413	+	0.151849i	−0.714056	−	0.700088i	$-0.753144\pi$
$73$	−1.62689	+	1.29740i	−0.190413	+	0.151849i	0.523643	+	0.851938i	$0.324572\pi$
$74$	10.3120	+	2.59474i	1.19875	+	0.301632i
$75$	2.04494	+	8.95945i	0.236129	+	1.03455i
$76$	16.6709	+	0.737512i	1.91228	+	0.0845984i
$77$	6.01159	−	10.1452i	0.685085	−	1.15615i
$78$	0.0989770	−	0.0449974i	0.0112069	−	0.00509496i
$79$		−	3.00184i		−	0.337733i	−0.985639	−	0.168867i	$-0.945989\pi$
$79$		−	3.00184i		−	0.337733i	0.985639	−	0.168867i	$-0.0540107\pi$
$80$	7.71093	−	12.9452i	0.862108	−	1.44732i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−7.55062	−	3.84405i	−0.833826	−	0.424504i
$83$	−9.36338	−	11.7413i	−1.02776	−	1.28878i	−0.956629	−	0.291309i	$-0.905909\pi$
$83$	−9.36338	−	11.7413i	−1.02776	−	1.28878i	−0.0711357	−	0.997467i	$-0.522662\pi$
$84$	−1.83798	+	4.96204i	−0.200540	+	0.541403i
$85$	−13.3566	+	16.7487i	−1.44873	+	1.81665i
$86$	5.56226	−	2.52875i	0.599794	−	0.272682i
$87$	−3.80383	+	4.76985i	−0.407813	+	0.511381i
$88$	−8.49607	+	9.31382i	−0.905684	+	0.992857i
$89$	6.00822	−	4.79140i	0.636870	−	0.507887i	−0.250997	−	0.967988i	$-0.580758\pi$
$89$	6.00822	−	4.79140i	0.636870	−	0.507887i	0.887867	+	0.460101i	$0.152187\pi$
$90$	1.07034	+	5.21863i	0.112824	+	0.550092i
$91$	−0.103693	+	0.174992i	−0.0108699	+	0.0183441i
$92$	−12.6582	+	2.30588i	−1.31971	+	0.240405i
$93$	0.0805117	+	0.0387724i	0.00834868	+	0.00402051i
$94$	−0.461969	−	0.385417i	−0.0476485	−	0.0397528i
$95$	−13.6369	+	28.3173i	−1.39911	+	2.90529i
$96$	3.00161	−	4.79482i	0.306351	−	0.489370i
$97$			1.98364i			0.201408i	0.994916	+	0.100704i	$0.0321095\pi$
$97$			1.98364i			0.201408i	−0.994916	+	0.100704i	$0.967891\pi$
$98$	−2.49169	−	9.58079i	−0.251699	−	0.967806i
$99$		−	4.45716i		−	0.447962i
$100$	10.8133	+	14.8623i	1.08133	+	1.48623i
$101$	−2.35672	+	4.89378i	−0.234502	+	0.486949i	−0.984699	−	0.174266i	$-0.944245\pi$
$101$	−2.35672	+	4.89378i	−0.234502	+	0.486949i	0.750196	+	0.661215i	$0.229959\pi$
$102$	−5.15220	+	6.17554i	−0.510144	+	0.611469i
$103$	5.06447	+	2.43892i	0.499017	+	0.240314i	0.666423	−	0.745574i	$-0.267825\pi$
$103$	5.06447	+	2.43892i	0.499017	+	0.240314i	−0.167405	+	0.985888i	$0.553539\pi$
$104$	0.146547	−	0.160652i	0.0143701	−	0.0157532i
$105$	−7.22861	−	6.86120i	−0.705441	−	0.669585i
$106$	7.84123	−	1.60823i	0.761608	−	0.156205i
$107$	−1.97319	+	1.57357i	−0.190755	+	0.152122i	−0.714211	−	0.699931i	$-0.753214\pi$
$107$	−1.97319	+	1.57357i	−0.190755	+	0.152122i	0.523455	+	0.852053i	$0.324643\pi$
$108$	0.358430	+	1.96762i	0.0344900	+	0.189334i
$109$	−5.78930	+	7.25955i	−0.554514	+	0.695339i	−0.977533	−	0.210782i	$-0.932399\pi$
$109$	−5.78930	+	7.25955i	−0.554514	+	0.695339i	0.423019	+	0.906121i	$0.360970\pi$
$110$	−9.82696	−	21.6155i	−0.936964	−	2.06096i
$111$	−4.68802	+	5.87859i	−0.444967	+	0.557971i
$112$	0.527329	+	10.5699i	0.0498279	+	0.998758i
$113$	12.8097	+	16.0628i	1.20503	+	1.51106i	0.803598	+	0.595172i	$0.202916\pi$
$113$	12.8097	+	16.0628i	1.20503	+	1.51106i	0.401433	+	0.915889i	$0.368512\pi$
$114$	−5.35339	+	10.5153i	−0.501391	+	0.984849i
$115$	5.39252	−	23.6262i	0.502855	−	2.20315i
$116$	−3.23824	+	11.7642i	−0.300663	+	1.09228i
$117$			0.0768805i			0.00710760i
$118$	−2.05390	−	4.51779i	−0.189077	−	0.415897i
$119$	1.29432	−	14.9904i	0.118650	−	1.37417i
$120$	6.07637	+	8.75194i	0.554694	+	0.798940i
$121$	1.97294	+	8.64400i	0.179358	+	0.785818i
$122$	−3.27137	+	13.0011i	−0.296176	+	1.17707i
$123$	4.68410	−	3.73544i	0.422351	−	0.336813i
$124$	0.178548	+	0.00789889i	0.0160341	+	0.000709341i
$125$	−15.3872	+	3.51203i	−1.37628	+	0.314126i
$126$	−2.65622	−	2.63524i	−0.236635	−	0.234766i
$127$	−10.7669	−	2.45748i	−0.955410	−	0.218066i	−0.283727	−	0.958905i	$-0.591571\pi$
$127$	−10.7669	−	2.45748i	−0.955410	−	0.218066i	−0.671683	+	0.740839i	$0.734428\pi$
$128$	1.74368	−	11.1785i	0.154121	−	0.988052i
$129$			4.32049i			0.380398i
$130$	0.169503	+	0.372841i	0.0148664	+	0.0327003i
$131$	6.73614	−	3.24395i	0.588539	−	0.283426i	−0.115819	−	0.993270i	$-0.536949\pi$
$131$	6.73614	−	3.24395i	0.588539	−	0.283426i	0.704358	+	0.709845i	$0.251235\pi$
$132$	−3.50904	−	8.19462i	−0.305422	−	0.713250i
$133$	−3.04260	−	21.8643i	−0.263827	−	1.89588i
$134$	−0.363484	−	0.00803626i	−0.0314002	−	0.000694227i
$135$	−3.67250	−	0.838224i	−0.316078	−	0.0721428i
$136$	−4.61059	+	15.4101i	−0.395355	+	1.32141i
$137$	5.64705	−	2.71948i	0.482460	−	0.232341i	−0.176812	−	0.984245i	$-0.556579\pi$
$137$	5.64705	−	2.71948i	0.482460	−	0.232341i	0.659273	+	0.751904i	$0.270864\pi$
$138$	2.22006	−	8.82300i	0.188984	−	0.751064i
$139$	−4.34349	−	2.09172i	−0.368410	−	0.177417i	0.240514	−	0.970646i	$-0.422684\pi$
$139$	−4.34349	−	2.09172i	−0.368410	−	0.177417i	−0.608924	+	0.793229i	$0.708398\pi$
$140$	−18.6917	−	6.92358i	−1.57974	−	0.585149i
$141$	0.383289	−	0.184582i	0.0322788	−	0.0155446i
$142$	2.50020	+	12.1902i	0.209812	+	1.02298i
$143$	−0.0762510	−	0.334077i	−0.00637643	−	0.0279370i
$144$	2.20805	+	3.33534i	0.184004	+	0.277945i
$145$	−17.9677	−	14.3288i	−1.49214	−	1.18994i
$146$	−1.78350	−	2.34076i	−0.147603	−	0.193723i
$147$	6.89640	+	1.19986i	0.568806	+	0.0989625i
$148$	−3.99096	+	14.4988i	−0.328055	+	1.19179i
$149$	−3.13413	+	3.93007i	−0.256758	+	0.321964i	−0.893458	−	0.449148i	$-0.851728\pi$
$149$	−3.13413	+	3.93007i	−0.256758	+	0.321964i	0.636700	+	0.771112i	$0.280299\pi$
$150$	−12.7314	+	2.61120i	−1.03951	+	0.213204i
$151$	11.3242	−	2.58466i	0.921546	−	0.210337i	0.264673	−	0.964338i	$-0.414736\pi$
$151$	11.3242	−	2.58466i	0.921546	−	0.210337i	0.656873	+	0.754001i	$0.271879\pi$
$152$	−1.56386	+	23.5473i	−0.126846	+	1.90994i
$153$	−2.46747	−	5.12375i	−0.199483	−	0.414231i
$154$	14.1560	+	8.81673i	1.14073	+	0.710473i
$155$	−0.146053	+	0.303283i	−0.0117313	+	0.0243603i
$156$	0.0605265	+	0.141347i	0.00484600	+	0.0113168i
$157$	7.15561	+	14.8588i	0.571080	+	1.18586i	0.963905	+	0.266246i	$0.0857835\pi$
$157$	7.15561	+	14.8588i	0.571080	+	1.18586i	−0.392825	+	0.919613i	$0.628502\pi$
$158$	4.24420	+	0.0938350i	0.337651	+	0.00746511i
$159$	−1.25947	+	5.51810i	−0.0998825	+	0.437614i
$160$	18.0618	+	11.3069i	1.42791	+	0.893889i
$161$	6.03851	+	15.9137i	0.475901	+	1.25417i
$162$	−1.37146	−	0.345091i	−0.107752	−	0.0271129i
$163$	−0.490893	−	1.01935i	−0.0384497	−	0.0798416i	0.880859	−	0.473378i	$-0.156966\pi$
$163$	−0.490893	−	1.01935i	−0.0384497	−	0.0798416i	−0.919309	+	0.393537i	$0.871251\pi$
$164$	5.67101	−	10.5554i	0.442831	−	0.824239i
$165$	16.7899			1.30709
$166$	16.8934	−	12.8716i	1.31118	−	0.999027i
$167$	1.08277	−	4.74391i	0.0837870	−	0.367095i	−0.915601	−	0.402089i	$-0.868284\pi$
$167$	1.08277	−	4.74391i	0.0837870	−	0.367095i	0.999388	+	0.0349945i	$0.0111414\pi$
$168$	−6.95821	−	2.75378i	−0.536838	−	0.212458i
$169$	−2.89146	−	12.6683i	−0.222420	−	0.974485i
$170$	−23.2629	−	19.4080i	−1.78418	−	1.48853i
$171$	−5.20214	−	6.52327i	−0.397817	−	0.498847i
$172$	3.40144	+	7.94335i	0.259357	+	0.605675i
$173$	−4.19969	+	0.958553i	−0.319297	+	0.0728774i	−0.379166	−	0.925329i	$-0.623789\pi$
$173$	−4.19969	+	0.958553i	−0.319297	+	0.0728774i	0.0598688	+	0.998206i	$0.480932\pi$
$174$	−6.62503	−	5.52721i	−0.502242	−	0.419017i
$175$	16.7386	−	17.6350i	1.26532	−	1.33308i
$176$	−12.9029	−	12.3035i	−0.972595	−	0.927408i
$177$	3.50920			0.263768
$178$	6.58659	+	8.64461i	0.493686	+	0.647941i
$179$	18.0438	+	4.11838i	1.34866	+	0.307822i	0.835037	−	0.550195i	$-0.185446\pi$
$179$	18.0438	+	4.11838i	1.34866	+	0.307822i	0.513621	+	0.858017i	$0.328304\pi$
$180$	−7.41191	+	1.35019i	−0.552451	+	0.100637i
$181$	−4.01113	+	3.19877i	−0.298145	+	0.237763i	−0.761124	−	0.648607i	$-0.775352\pi$
$181$	−4.01113	+	3.19877i	−0.298145	+	0.237763i	0.462979	+	0.886369i	$0.346781\pi$
$182$	−0.244174	−	0.152078i	−0.0180994	−	0.0112727i
$183$	−7.41157	−	5.91053i	−0.547879	−	0.436919i
$184$	−2.86453	−	17.9692i	−0.211176	−	1.32470i
$185$	−22.1443	−	17.6595i	−1.62808	−	1.29835i
$186$	−0.0573358	+	0.112621i	−0.00420406	+	0.00825777i
$187$	15.8040	+	19.8175i	1.15570	+	1.44920i
$188$	0.559370	−	0.641116i	0.0407963	−	0.0467582i
$189$	2.47365	−	0.938637i	0.179932	−	0.0682758i
$190$	−39.6106	−	20.1659i	−2.87365	−	1.46299i
$191$	−3.00513	+	6.24021i	−0.217443	+	0.451526i	−0.980946	−	0.194278i	$-0.937764\pi$
$191$	−3.00513	+	6.24021i	−0.217443	+	0.451526i	0.763503	+	0.645804i	$0.223478\pi$
$192$	6.68542	+	4.39376i	0.482479	+	0.317093i
$193$	−16.5445	−	7.96742i	−1.19090	−	0.573507i	−0.269831	−	0.962908i	$-0.586968\pi$
$193$	−16.5445	−	7.96742i	−1.19090	−	0.573507i	−0.921069	+	0.389400i	$0.872682\pi$
$194$	−2.80460	−	0.0620069i	−0.201359	−	0.00445184i
$195$	−0.289604			−0.0207390
$196$	13.6239	−	3.22343i	0.973133	−	0.230245i
$197$	25.1794			1.79395			0.896977	−	0.442077i	$-0.145758\pi$
$197$	25.1794			1.79395			0.896977	+	0.442077i	$0.145758\pi$
$198$	6.30184	+	0.139327i	0.447852	+	0.00990156i
$199$	16.7246	+	8.05416i	1.18558	+	0.570944i	0.919532	−	0.393016i	$-0.128568\pi$
$199$	16.7246	+	8.05416i	1.18558	+	0.570944i	0.266047	+	0.963960i	$0.414283\pi$
$200$	−21.3513	+	14.8240i	−1.50976	+	1.04821i
$201$	0.111545	−	0.231625i	0.00786777	−	0.0163376i
$202$	−6.84549	−	3.48507i	−0.481647	−	0.245208i
$203$	16.0815	+	1.38853i	1.12870	+	0.0974555i
$204$	−8.57034	−	7.47757i	−0.600044	−	0.523535i
$205$	14.0712	+	17.6447i	0.982775	+	1.23236i
$206$	−3.60662	+	7.08426i	−0.251285	+	0.493584i
$207$	5.02974	+	4.01108i	0.349591	+	0.278790i
$208$	0.222559	+	0.212219i	0.0154317	+	0.0147148i
$209$	29.0753	+	23.1868i	2.01118	+	1.60386i
$210$	9.92680	−	10.0058i	0.685014	−	0.690468i
$211$	2.77179	−	2.21043i	0.190818	−	0.152172i	−0.523421	−	0.852074i	$-0.675344\pi$
$211$	2.77179	−	2.21043i	0.190818	−	0.152172i	0.714239	+	0.699902i	$0.246773\pi$
$212$	2.02872	+	11.1367i	0.139333	+	0.764874i
$213$	−8.57858	−	1.95800i	−0.587794	−	0.134160i
$214$	−2.16313	−	2.83902i	−0.147869	−	0.194071i
$215$	−16.2751			−1.10995
$216$	−2.79316	+	0.445267i	−0.190050	+	0.0302966i
$217$	−0.0325868	−	0.234171i	−0.00221214	−	0.0158966i
$218$	−10.0831	−	8.41223i	−0.682912	−	0.569748i
$219$	2.02870	−	0.463037i	0.137087	−	0.0312891i
$220$	30.8687	−	13.2183i	2.08117	−	0.891180i
$221$	−0.272599	−	0.341828i	−0.0183370	−	0.0229938i
$222$	−8.16501	−	6.81200i	−0.548000	−	0.457192i
$223$	0.322048	+	1.41098i	0.0215659	+	0.0944864i	0.984566	−	0.175016i	$-0.0559978\pi$
$223$	0.322048	+	1.41098i	0.0215659	+	0.0944864i	−0.963000	+	0.269503i	$0.913141\pi$
$224$	−14.9609	+	0.415168i	−0.999615	+	0.0277396i
$225$	2.04494	−	8.95945i	0.136329	−	0.597296i
$226$	−23.1111	+	17.6090i	−1.53733	+	1.17134i
$227$	−11.1496			−0.740023			−0.370011	−	0.929027i	$-0.620646\pi$
$227$	−11.1496			−0.740023			−0.370011	+	0.929027i	$0.620646\pi$
$228$	−14.6999	−	7.89769i	−0.973526	−	0.523037i
$229$	11.6347	+	24.1596i	0.768841	+	1.59651i	0.802189	+	0.597071i	$0.203669\pi$
$229$	11.6347	+	24.1596i	0.768841	+	1.59651i	−0.0333478	+	0.999444i	$0.510617\pi$
$230$	33.2358	+	8.36285i	2.19150	+	0.551430i
$231$	−9.81809	+	6.53216i	−0.645983	+	0.429785i
$232$	−16.5318	−	4.94618i	−1.08536	−	0.324733i
$233$	−3.52263	+	15.4336i	−0.230775	+	1.01109i	0.718224	+	0.695812i	$0.244955\pi$
$233$	−3.52263	+	15.4336i	−0.230775	+	1.01109i	−0.948999	+	0.315279i	$0.897902\pi$
$234$	−0.108699	−	0.00240322i	−0.00710587	−	0.000157104i
$235$	0.695311	+	1.44383i	0.0453571	+	0.0941849i
$236$	6.45177	−	2.76272i	0.419974	−	0.179838i
$237$	−1.30245	+	2.70456i	−0.0846031	+	0.175680i
$238$	21.1540	+	2.29858i	1.37121	+	0.148995i
$239$	−3.18491	−	6.61353i	−0.206015	−	0.427794i	0.772203	−	0.635376i	$-0.219155\pi$
$239$	−3.18491	−	6.61353i	−0.206015	−	0.427794i	−0.978218	+	0.207582i	$0.933441\pi$
$240$	−12.5640	+	8.31761i	−0.811005	+	0.536899i
$241$	8.17989	−	1.86701i	0.526913	−	0.120264i	0.0492144	−	0.998788i	$-0.484328\pi$
$241$	8.17989	−	1.86701i	0.526913	−	0.120264i	0.477699	+	0.878524i	$0.341471\pi$
$242$	−12.2831	+	2.51927i	−0.789591	+	0.161945i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	−18.2796	−	5.03170i	−1.17023	−	0.322121i
$245$	−4.51979	+	25.9783i	−0.288759	+	1.65970i
$246$	5.13500	+	6.73946i	0.327396	+	0.429692i
$247$	−0.501512	−	0.399943i	−0.0319105	−	0.0254477i
$248$	−0.0167493	+	0.252196i	−0.00106358	+	0.0160145i
$249$	3.34175	+	14.6412i	0.211775	+	0.927847i
$250$	−4.48456	−	21.8653i	−0.283629	−	1.38288i
$251$	−7.50388	+	3.61368i	−0.473641	+	0.228093i	−0.655447	−	0.755241i	$-0.727520\pi$
$251$	−7.50388	+	3.61368i	−0.473641	+	0.228093i	0.181807	+	0.983334i	$0.441806\pi$
$252$	3.80891	−	3.67317i	0.239939	−	0.231388i
$253$	−25.8345	−	12.4413i	−1.62420	−	0.782175i
$254$	3.81112	−	15.1462i	0.239131	−	0.950357i
$255$	19.3009	−	9.29481i	1.20867	−	0.582063i
$256$	15.7505	+	2.81477i	0.984404	+	0.175923i
$257$	−14.8690	−	3.39375i	−0.927502	−	0.211696i	−0.268017	−	0.963414i	$-0.586368\pi$
$257$	−14.8690	−	3.39375i	−0.927502	−	0.211696i	−0.659485	+	0.751718i	$0.729226\pi$
$258$	−6.10861	−	0.135055i	−0.380305	−	0.00840817i
$259$	19.8197	+	1.71129i	1.23153	+	0.106334i
$260$	−0.532446	+	0.228000i	−0.0330209	+	0.0141400i
$261$	5.49669	−	2.64707i	0.340236	−	0.163849i
$262$	4.37596	+	9.62542i	0.270348	+	0.594660i
$263$		−	5.98284i		−	0.368918i	−0.982840	−	0.184459i	$-0.940947\pi$
$263$		−	5.98284i		−	0.368918i	0.982840	−	0.184459i	$-0.0590533\pi$
$264$	11.6958	−	4.70516i	0.719827	−	0.289582i
$265$	−20.7864	−	4.74435i	−1.27690	−	0.291443i
$266$	31.0084	−	3.61837i	1.90125	−	0.221857i
$267$	−7.49213	+	1.71003i	−0.458511	+	0.104652i
$268$	0.0227244	−	0.513667i	0.00138811	−	0.0313772i
$269$	12.4542	−	9.93187i	0.759344	−	0.605557i	−0.165364	−	0.986233i	$-0.552880\pi$
$269$	12.4542	−	9.93187i	0.759344	−	0.605557i	0.924709	+	0.380676i	$0.124309\pi$
$270$	1.29994	−	5.16622i	0.0791116	−	0.314406i
$271$	−4.54435	−	19.9101i	−0.276049	−	1.20945i	−0.902741	−	0.430184i	$-0.858449\pi$
$271$	−4.54435	−	19.9101i	−0.276049	−	1.20945i	0.626692	−	0.779267i	$-0.284408\pi$
$272$	−21.6438	−	7.00048i	−1.31235	−	0.424466i
$273$	0.169350	−	0.112672i	0.0102495	−	0.00681920i
$274$	3.66846	+	8.06919i	0.221620	+	0.487478i
$275$			40.9607i			2.47002i
$276$	12.4052	+	3.41468i	0.746703	+	0.205539i
$277$	1.15096	−	5.04269i	0.0691545	−	0.302986i	−0.928509	−	0.371311i	$-0.878908\pi$
$277$	1.15096	−	5.04269i	0.0691545	−	0.302986i	0.997663	+	0.0683251i	$0.0217655\pi$
$278$	3.09318	−	6.07574i	0.185517	−	0.364399i
$279$	−0.0557158	−	0.0698654i	−0.00333562	−	0.00418273i
$280$	10.3733	−	26.2112i	0.619924	−	1.56642i
$281$	14.1158	−	17.7007i	0.842081	−	1.05594i	−0.155596	−	0.987821i	$-0.549730\pi$
$281$	14.1158	−	17.7007i	0.842081	−	1.05594i	0.997677	−	0.0681154i	$-0.0216986\pi$
$282$	0.248994	+	0.547690i	0.0148274	+	0.0326145i
$283$	0.873038	−	1.09475i	0.0518967	−	0.0650764i	−0.755206	−	0.655488i	$-0.772463\pi$
$283$	0.873038	−	1.09475i	0.0518967	−	0.0650764i	0.807102	+	0.590411i	$0.201034\pi$
$284$	−17.3135	+	3.15390i	−1.02736	+	0.187149i
$285$	24.5728	−	19.5961i	1.45557	−	1.16078i
$286$	0.474725	−	0.0973658i	0.0280711	−	0.00575736i
$287$	−15.0931	−	4.84352i	−0.890915	−	0.285904i
$288$	−4.78475	+	3.01764i	−0.281944	+	0.177816i
$289$	13.8219	+	6.65630i	0.813056	+	0.391547i
$290$	20.8207	−	24.9561i	1.22263	−	1.46547i
$291$	0.860668	−	1.78720i	0.0504533	−	0.104767i
$292$	3.36528	−	2.44846i	0.196938	−	0.143285i
$293$		−	10.4140i		−	0.608393i	−0.952609	−	0.304196i	$-0.901612\pi$
$293$		−	10.4140i		−	0.608393i	0.952609	−	0.304196i	$-0.0983879\pi$
$294$	−1.91201	+	9.71309i	−0.111511	+	0.566479i
$295$			13.2190i			0.769637i
$296$	−20.3746	−	6.09591i	−1.18425	−	0.354318i
$297$	−1.93389	+	4.01576i	−0.112216	+	0.233018i
$298$	−5.45864	−	4.55410i	−0.316210	−	0.263812i
$299$	0.445613	+	0.214596i	0.0257705	+	0.0124104i
$300$	−3.29392	−	18.0821i	−0.190175	−	1.04397i
$301$	9.51704	−	6.33187i	0.548553	−	0.364963i
$302$	3.30039	+	16.0917i	0.189916	+	0.925971i
$303$	4.24666	−	3.38660i	0.243964	−	0.194555i
$304$	−33.2439	−	2.94717i	−1.90667	−	0.169032i
$305$	22.2646	−	27.9189i	1.27487	−	1.59863i
$306$	7.32144	−	3.32851i	0.418539	−	0.190278i
$307$	12.6385	−	15.8481i	0.721315	−	0.904501i	−0.277096	−	0.960842i	$-0.589372\pi$
$307$	12.6385	−	15.8481i	0.721315	−	0.904501i	0.998412	+	0.0563413i	$0.0179435\pi$
$308$	−12.9082	+	19.7392i	−0.735513	+	1.12474i
$309$	−3.50472	−	4.39479i	−0.199377	−	0.250011i
$310$	−0.424237	−	0.215981i	−0.0240950	−	0.0122669i
$311$	7.04714	−	30.8755i	0.399607	−	1.75079i	−0.229343	−	0.973346i	$-0.573658\pi$
$311$	7.04714	−	30.8755i	0.399607	−	1.75079i	0.628950	−	0.777446i	$-0.283485\pi$
$312$	−0.201738	+	0.0811581i	−0.0114212	+	0.00459467i
$313$			16.9127i			0.955961i	0.878371	+	0.477980i	$0.158631\pi$
$313$			16.9127i			0.955961i	−0.878371	+	0.477980i	$0.841369\pi$
$314$	−21.2320	+	9.65262i	−1.19819	+	0.544729i
$315$	3.53579	+	9.31811i	0.199219	+	0.525016i
$316$	−0.265341	+	5.99781i	−0.0149266	+	0.337403i
$317$	−5.41319	−	23.7167i	−0.304035	−	1.33206i	−0.863977	−	0.503532i	$-0.832034\pi$
$317$	−5.41319	−	23.7167i	−0.304035	−	1.33206i	0.559942	−	0.828532i	$-0.310823\pi$
$318$	−7.76249	−	1.95322i	−0.435299	−	0.109531i
$319$	−21.2600	+	16.9543i	−1.19033	+	0.949257i
$320$	−16.5511	+	25.1836i	−0.925232	+	1.40781i
$321$	2.46053	−	0.561599i	0.137333	−	0.0313454i
$322$	−22.6886	+	8.04021i	−1.26439	+	0.448063i
$323$	46.2597	+	10.5585i	2.57396	+	0.587489i
$324$	0.530784	−	1.92828i	0.0294880	−	0.107127i
$325$		−	0.706521i		−	0.0391907i
$326$	1.45657	−	0.662193i	0.0806720	−	0.0366755i
$327$	8.36578	−	4.02875i	0.462629	−	0.222790i
$328$	14.7467	+	8.34801i	0.814250	+	0.460942i
$329$	−0.968318	−	0.573783i	−0.0533851	−	0.0316337i
$330$	−0.524838	+	23.7387i	−0.0288914	+	1.30677i
$331$	−16.3050	−	3.72152i	−0.896205	−	0.204553i	−0.250479	−	0.968122i	$-0.580588\pi$
$331$	−16.3050	−	3.72152i	−0.896205	−	0.204553i	−0.645726	+	0.763569i	$0.723445\pi$
$332$	17.6706	+	24.2873i	0.969801	+	1.33294i
$333$	6.77439	−	3.26237i	0.371234	−	0.178777i
$334$	6.67341	+	1.67918i	0.365153	+	0.0918806i
$335$	0.872519	+	0.420183i	0.0476708	+	0.0229570i
$336$	4.11098	−	9.75191i	0.224273	−	0.532011i
$337$	16.9468	−	8.16117i	0.923153	−	0.444567i	0.0889573	−	0.996035i	$-0.471647\pi$
$337$	16.9468	−	8.16117i	0.923153	−	0.444567i	0.834196	+	0.551468i	$0.185932\pi$
$338$	18.0017	−	3.69214i	0.979163	−	0.200826i
$339$	−4.57171	−	20.0300i	−0.248301	−	1.08788i
$340$	28.1676	−	32.2840i	1.52760	−	1.75084i
$341$	0.311402	+	0.248335i	0.0168633	+	0.0134481i
$342$	9.38566	−	7.15122i	0.507518	−	0.386694i
$343$	−7.46397	−	16.9496i	−0.403016	−	0.915193i
$344$	−11.3372	+	4.56088i	−0.611260	+	0.245906i
$345$	−15.1095	+	18.9467i	−0.813469	+	1.02006i
$346$	−1.22399	−	5.96778i	−0.0658020	−	0.320830i
$347$	−10.0370	+	2.29088i	−0.538814	+	0.122981i	−0.483263	−	0.875475i	$-0.660549\pi$
$347$	−10.0370	+	2.29088i	−0.538814	+	0.122981i	−0.0555507	+	0.998456i	$0.517691\pi$
$348$	8.02184	−	9.19414i	0.430016	−	0.492858i
$349$	8.79407	+	18.2611i	0.470736	+	0.977493i	0.992251	+	0.124251i	$0.0396528\pi$
$349$	8.79407	+	18.2611i	0.470736	+	0.977493i	−0.521515	+	0.853242i	$0.674633\pi$
$350$	24.4103	+	24.2175i	1.30478	+	1.29448i
$351$	0.0333572	−	0.0692669i	0.00178048	−	0.00369720i
$352$	17.7988	−	17.8584i	0.948679	−	0.951858i
$353$	−12.3477	−	25.6403i	−0.657202	−	1.36469i	−0.916944	−	0.399016i	$-0.869352\pi$
$353$	−12.3477	−	25.6403i	−0.657202	−	1.36469i	0.259742	−	0.965678i	$-0.416362\pi$
$354$	−0.109695	+	4.96155i	−0.00583021	+	0.263703i
$355$	7.37569	−	32.3150i	0.391461	−	1.71510i
$356$	−12.4282	+	9.04234i	−0.658694	+	0.479243i
$357$	−7.67025	+	12.9443i	−0.405953	+	0.685087i
$358$	−6.38689	+	25.3828i	−0.337557	+	1.34152i
$359$	−0.123646	−	0.256753i	−0.00652577	−	0.0135509i	0.897681	−	0.440647i	$-0.145251\pi$
$359$	−0.123646	−	0.256753i	−0.00652577	−	0.0135509i	−0.904206	+	0.427096i	$0.859537\pi$
$360$	−1.67730	−	10.5217i	−0.0884012	−	0.554541i
$361$	50.6153			2.66396
$362$	−4.39725	−	5.77120i	−0.231114	−	0.303327i
$363$	1.97294	−	8.64400i	0.103552	−	0.453692i
$364$	0.222650	−	0.340476i	0.0116701	−	0.0178458i
$365$	1.74423	+	7.64198i	0.0912973	+	0.399999i
$366$	8.58838	−	10.2942i	0.448922	−	0.538087i
$367$	−21.4848	−	26.9411i	−1.12150	−	1.40632i	−0.902552	−	0.430580i	$-0.858309\pi$
$367$	−21.4848	−	26.9411i	−1.12150	−	1.40632i	−0.218948	−	0.975737i	$-0.570262\pi$
$368$	25.4956	−	3.48836i	1.32905	−	0.181843i
$369$	−5.84097	+	1.33316i	−0.304069	+	0.0694017i
$370$	25.6604	−	30.7571i	1.33402	−	1.59899i
$371$	14.0009	−	5.31269i	0.726890	−	0.275821i
$372$	−0.157439	−	0.0845857i	−0.00816283	−	0.00438556i
$373$	−6.46609			−0.334802			−0.167401	−	0.985889i	$-0.553537\pi$
$373$	−6.46609			−0.334802			−0.167401	+	0.985889i	$0.553537\pi$
$374$	−28.5134	+	21.7252i	−1.47439	+	1.12339i
$375$	15.3872	+	3.51203i	0.794593	+	0.181361i
$376$	0.888968	+	0.810916i	0.0458450	+	0.0418198i
$377$	0.366708	−	0.292440i	0.0188864	−	0.0150614i
$378$	1.24978	+	3.52676i	0.0642820	+	0.181397i
$379$	10.4295	+	8.31721i	0.535725	+	0.427226i	0.853618	−	0.520900i	$-0.174404\pi$
$379$	10.4295	+	8.31721i	0.535725	+	0.427226i	−0.317892	+	0.948127i	$0.602975\pi$
$380$	29.7501	−	55.3738i	1.52615	−	2.84061i
$381$	8.63440	+	6.88571i	0.442354	+	0.352765i
$382$	−8.72890	−	4.44392i	−0.446609	−	0.227371i
$383$	6.27628	+	7.87021i	0.320703	+	0.402149i	0.915884	−	0.401443i	$-0.131491\pi$
$383$	6.27628	+	7.87021i	0.320703	+	0.402149i	−0.595181	+	0.803592i	$0.702920\pi$
$384$	−6.42118	+	9.31496i	−0.327680	+	0.475352i
$385$	−24.6063	−	36.9842i	−1.25405	−	1.88489i
$386$	11.7820	−	23.1427i	0.599690	−	1.17793i
$387$	1.87459	−	3.89263i	0.0952909	−	0.197874i
$388$	0.175339	−	3.96340i	0.00890150	−	0.201211i
$389$	−20.3556	−	9.80274i	−1.03207	−	0.497019i	−0.160369	−	0.987057i	$-0.551268\pi$
$389$	−20.3556	−	9.80274i	−1.03207	−	0.497019i	−0.871701	+	0.490038i	$0.836983\pi$
$390$	0.00905280	−	0.409462i	0.000458406	−	0.0207339i
$391$	−36.5856			−1.85021
$392$	4.13163	+	19.3631i	0.208679	+	0.977984i
$393$	−7.47655			−0.377142
$394$	−0.787086	+	35.6003i	−0.0396528	+	1.79352i
$395$	−10.1879	−	4.90625i	−0.512610	−	0.246860i
$396$	−0.393981	+	8.90561i	−0.0197983	+	0.447524i
$397$	−9.26563	+	19.2403i	−0.465028	+	0.965642i	0.528162	+	0.849143i	$0.322881\pi$
$397$	−9.26563	+	19.2403i	−0.465028	+	0.965642i	−0.993191	+	0.116498i	$0.962833\pi$
$398$	−11.9103	+	23.3947i	−0.597010	+	1.17267i
$399$	−6.74530	+	21.0192i	−0.337687	+	1.05228i
$400$	−20.2917	−	30.6513i	−1.01458	−	1.53257i
$401$	9.08266	+	11.3893i	0.453566	+	0.568754i	0.955062	−	0.296406i	$-0.0957881\pi$
$401$	9.08266	+	11.3893i	0.453566	+	0.568754i	−0.501496	+	0.865160i	$0.667217\pi$
$402$	0.324001	+	0.164950i	0.0161597	+	0.00822696i
$403$	−0.00537129	−	0.00428346i	−0.000267563	−	0.000213374i
$404$	5.14141	−	9.56967i	0.255795	−	0.476109i
$405$	2.94511	+	2.34865i	0.146344	+	0.116705i
$406$	−2.46589	+	22.6938i	−0.122380	+	1.12627i
$407$	−26.2018	+	20.8953i	−1.29878	+	1.03574i
$408$	10.8402	−	11.8836i	0.536670	−	0.588325i
$409$	−25.3227	−	5.77974i	−1.25213	−	0.285790i	−0.455486	−	0.890243i	$-0.650535\pi$
$409$	−25.3227	−	5.77974i	−1.25213	−	0.285790i	−0.796641	+	0.604453i	$0.793392\pi$
$410$	−25.3872	+	19.3433i	−1.25378	+	0.955295i
$411$	−6.26775			−0.309166
$412$	−9.90347	−	5.32074i	−0.487909	−	0.262134i
$413$	−5.14288	−	7.72995i	−0.253065	−	0.380366i
$414$	−5.82837	+	6.98600i	−0.286449	+	0.343343i
$415$	−55.1525	+	12.5882i	−2.70733	+	0.617930i
$416$	−0.307007	+	0.308036i	−0.0150523	+	0.0151027i
$417$	3.00579	+	3.76914i	0.147194	+	0.184576i
$418$	−33.6919	+	40.3838i	−1.64792	+	1.97524i
$419$	1.93869	+	8.49397i	0.0947114	+	0.414958i	0.999951	−	0.00994465i	$-0.00316553\pi$
$419$	1.93869	+	8.49397i	0.0947114	+	0.414958i	−0.905239	+	0.424902i	$0.860308\pi$
$420$	13.8366	+	14.3480i	0.675158	+	0.700109i
$421$	−0.697356	+	3.05532i	−0.0339870	+	0.148907i	−0.989074	−	0.147418i	$-0.952904\pi$
$421$	−0.697356	+	3.05532i	−0.0339870	+	0.148907i	0.955087	+	0.296325i	$0.0957610\pi$
$422$	3.03861	+	3.98805i	0.147917	+	0.194135i
$423$	−0.425419			−0.0206846
$424$	−15.8093	+	2.52021i	−0.767767	+	0.122392i
$425$	22.6757	+	47.0865i	1.09993	+	2.28403i
$426$	3.03652	−	12.0678i	0.147120	−	0.584685i
$427$	−2.15755	+	24.9881i	−0.104411	+	1.20926i
$428$	4.08161	−	2.96964i	0.197292	−	0.143543i
$429$	−0.0762510	+	0.334077i	−0.00368143	+	0.0161294i
$430$	0.508745	−	23.0108i	0.0245339	−	1.10968i
$431$	−11.9123	−	24.7362i	−0.573797	−	1.19150i	−0.962787	−	0.270260i	$-0.912890\pi$
$431$	−11.9123	−	24.7362i	−0.573797	−	1.19150i	0.388991	−	0.921242i	$-0.372824\pi$
$432$	−0.542237	−	3.96308i	−0.0260884	−	0.190674i
$433$	−0.392179	+	0.814368i	−0.0188469	+	0.0391360i	−0.910180	−	0.414213i	$-0.864057\pi$
$433$	−0.392179	+	0.814368i	−0.0188469	+	0.0391360i	0.891333	+	0.453349i	$0.149771\pi$
$434$	0.332106	−	0.0387535i	0.0159416	−	0.00186023i
$435$	9.97134	+	20.7057i	0.478089	+	0.992763i
$436$	12.2090	−	13.9932i	0.584704	−	0.670152i
$437$	−52.3308	+	11.9442i	−2.50332	+	0.571366i
$438$	0.591257	+	2.88278i	0.0282514	+	0.137745i
$439$	5.55109	−	6.96085i	0.264939	−	0.332223i	−0.631512	−	0.775366i	$-0.717565\pi$
$439$	5.55109	−	6.96085i	0.264939	−	0.332223i	0.896451	+	0.443143i	$0.146137\pi$
$440$	17.7241	+	44.0574i	0.844961	+	2.10036i
$441$	−5.69284	−	4.07327i	−0.271088	−	0.193965i
$442$	0.491821	−	0.374733i	0.0233935	−	0.0178242i
$443$	−14.5397	−	11.5950i	−0.690803	−	0.550897i	0.213944	−	0.976846i	$-0.431369\pi$
$443$	−14.5397	−	11.5950i	−0.690803	−	0.550897i	−0.904747	+	0.425949i	$0.859940\pi$
$444$	9.88651	−	11.3313i	0.469193	−	0.537760i
$445$	−6.44158	−	28.2224i	−0.305360	−	1.33787i
$446$	−2.00501	+	0.411227i	−0.0949400	+	0.0194721i
$447$	4.52895	−	2.18103i	0.214212	−	0.103159i
$448$	−0.119328	−	21.1657i	−0.00563774	−	0.999984i
$449$	−17.1312	−	8.24994i	−0.808470	−	0.389339i	−0.0164738	−	0.999864i	$-0.505244\pi$
$449$	−17.1312	−	8.24994i	−0.808470	−	0.389339i	−0.791997	+	0.610525i	$0.790958\pi$
$450$	12.6036	+	3.17133i	0.594137	+	0.149498i
$451$	24.0592	−	11.5863i	1.13290	−	0.545577i
$452$	−24.1744	−	33.2265i	−1.13707	−	1.56284i
$453$	−11.3242	−	2.58466i	−0.532055	−	0.121438i
$454$	0.348527	−	15.7640i	0.0163572	−	0.739842i
$455$	0.424428	+	0.637931i	0.0198975	+	0.0299067i
$456$	11.6258	−	20.5369i	0.544428	−	0.961727i
$457$	−6.26006	+	3.01469i	−0.292833	+	0.141021i	−0.574533	−	0.818482i	$-0.694816\pi$
$457$	−6.26006	+	3.01469i	−0.292833	+	0.141021i	0.281699	+	0.959503i	$0.409102\pi$
$458$	−34.5222	+	15.6947i	−1.61312	+	0.733364i
$459$			5.68693i			0.265443i
$460$	−12.8629	+	46.7296i	−0.599736	+	2.17878i
$461$	3.19807	+	0.729938i	0.148949	+	0.0339966i	0.296345	−	0.955081i	$-0.404232\pi$
$461$	3.19807	+	0.729938i	0.148949	+	0.0339966i	−0.147396	+	0.989078i	$0.547089\pi$
$462$	−8.92871	−	14.0857i	−0.415401	−	0.655325i
$463$	23.8427	−	5.44194i	1.10807	−	0.252909i	0.370935	−	0.928659i	$-0.379037\pi$
$463$	23.8427	−	5.44194i	1.10807	−	0.252909i	0.737131	+	0.675750i	$0.236180\pi$
$464$	7.51002	−	23.2191i	0.348644	−	1.07792i
$465$	0.263179	−	0.209878i	0.0122046	−	0.00973287i
$466$	−21.7110	−	5.46298i	−1.00574	−	0.253067i
$467$	−5.21078	−	22.8299i	−0.241126	−	1.05644i	−0.939994	−	0.341192i	$-0.889169\pi$
$467$	−5.21078	−	22.8299i	−0.241126	−	1.05644i	0.698867	−	0.715251i	$-0.253688\pi$
$468$	0.00679568	−	0.153611i	0.000314130	−	0.00710066i
$469$	−0.673690	+	0.0937494i	−0.0311081	+	0.00432895i
$470$	−2.06312	+	0.937945i	−0.0951645	+	0.0432642i
$471$		−	16.4920i		−	0.759911i
$472$	3.70445	+	9.20831i	0.170511	+	0.423847i
$473$	−4.28512	+	18.7743i	−0.197030	+	0.863244i
$474$	−3.78318	−	1.92603i	−0.173767	−	0.0884656i
$475$	47.8069	+	59.9479i	2.19353	+	2.75060i
$476$	−3.91115	+	29.8372i	−0.179267	+	1.36758i
$477$	3.52896	−	4.42517i	0.161580	−	0.202615i
$478$	9.45022	−	4.29631i	0.432243	−	0.196509i
$479$	−21.8584	+	27.4096i	−0.998737	+	1.25238i	−0.0312354	+	0.999512i	$0.509944\pi$
$479$	−21.8584	+	27.4096i	−0.998737	+	1.25238i	−0.967502	+	0.252865i	$0.918627\pi$
$480$	−11.3673	−	18.0239i	−0.518842	−	0.822674i
$481$	0.451949	−	0.360417i	0.0206071	−	0.0164336i
$482$	2.38400	+	11.6236i	0.108588	+	0.529443i
$483$	1.46418	−	16.9578i	0.0666226	−	0.771605i
$484$	−3.17795	−	17.4455i	−0.144452	−	0.792977i
$485$	6.73226	+	3.24209i	0.305696	+	0.147216i
$486$	1.08592	+	0.905972i	0.0492582	+	0.0410957i
$487$	2.83961	−	5.89652i	0.128675	−	0.267197i	−0.826671	−	0.562685i	$-0.809768\pi$
$487$	2.83961	−	5.89652i	0.128675	−	0.267197i	0.955346	+	0.295489i	$0.0954825\pi$
$488$	7.68556	−	25.6877i	0.347909	−	1.16283i
$489$			1.13139i			0.0511633i
$490$	−36.5887	−	7.20245i	−1.65291	−	0.325373i
$491$			16.3127i			0.736180i	0.929790	+	0.368090i	$0.119988\pi$
$491$			16.3127i			0.736180i	−0.929790	+	0.368090i	$0.880012\pi$
$492$	−9.68922	+	7.04954i	−0.436824	+	0.317818i
$493$	−15.0537	+	31.2593i	−0.677984	+	1.40785i
$494$	0.581143	−	0.696570i	0.0261469	−	0.0313402i
$495$	−15.1272	−	7.28485i	−0.679915	−	0.327430i
$496$	−0.356049	−	0.0315647i	−0.0159871	−	0.00141730i
$497$	8.25925	+	21.7661i	0.370478	+	0.976345i
$498$	−20.8051	+	4.26712i	−0.932301	+	0.191214i
$499$	10.5297	−	8.39719i	0.471376	−	0.375910i	−0.358797	−	0.933416i	$-0.616813\pi$
$499$	10.5297	−	8.39719i	0.471376	−	0.375910i	0.830173	+	0.557506i	$0.188242\pi$
$500$	31.0548	−	5.65709i	1.38881	−	0.252993i
$501$	−3.03384	+	3.80432i	−0.135542	+	0.169964i
$502$	−4.87470	−	10.7225i	−0.217568	−	0.478566i
$503$	15.1241	−	18.9650i	0.674350	−	0.845608i	−0.320470	−	0.947259i	$-0.603841\pi$
$503$	15.1241	−	18.9650i	0.674350	−	0.845608i	0.994820	+	0.101651i	$0.0324124\pi$
$504$	5.07431	+	5.50012i	0.226028	+	0.244995i
$505$	12.7571	+	15.9969i	0.567685	+	0.711854i
$506$	18.3979	−	36.1377i	0.817884	−	1.60652i
$507$	−2.89146	+	12.6683i	−0.128414	+	0.562619i
$508$	21.2956	+	5.86188i	0.944839	+	0.260079i
$509$		−	26.8049i		−	1.18811i	−0.804426	−	0.594053i	$-0.797527\pi$
$509$		−	26.8049i		−	1.18811i	0.804426	−	0.594053i	$-0.202473\pi$
$510$	12.5383	+	27.5794i	0.555205	+	1.22124i
$511$	−3.99310	−	3.79014i	−0.176644	−	0.167666i
$512$	−4.47205	+	22.1811i	−0.197639	+	0.980275i
$513$	1.85662	+	8.13439i	0.0819718	+	0.359142i
$514$	5.26311	−	20.9167i	0.232146	−	0.922596i
$515$	16.5549	−	13.2021i	0.729496	−	0.581754i
$516$	0.381900	−	8.63254i	0.0168122	−	0.380027i
$517$	1.84862	−	0.421935i	0.0813022	−	0.0185567i
$518$	−3.03908	+	27.9689i	−0.133530	+	1.22888i
$519$	4.19969	+	0.958553i	0.184346	+	0.0420758i
$520$	−0.305718	−	0.759936i	−0.0134066	−	0.0333254i
$521$		−	6.76266i		−	0.296277i	−0.988967	−	0.148139i	$-0.952672\pi$
$521$		−	6.76266i		−	0.296277i	0.988967	−	0.148139i	$-0.0473282\pi$
$522$	3.57078	+	7.85434i	0.156289	+	0.343775i
$523$	−5.75424	+	2.77109i	−0.251615	+	0.121172i	−0.555441	−	0.831556i	$-0.687450\pi$
$523$	−5.75424	+	2.77109i	−0.251615	+	0.121172i	0.303825	+	0.952728i	$0.401736\pi$
$524$	−13.7459	+	5.88614i	−0.600491	+	0.257137i
$525$	−22.7325	+	8.62594i	−0.992128	+	0.376467i
$526$	8.45895	+	0.187019i	0.368828	+	0.00815441i
$527$	0.495450	+	0.113083i	0.0215821	+	0.00492598i
$528$	6.28687	+	16.6834i	0.273601	+	0.726052i
$529$	16.5662	−	7.97784i	0.720268	−	0.346863i
$530$	7.35765	−	29.2409i	0.319596	−	1.27014i
$531$	−3.16168	−	1.52258i	−0.137205	−	0.0660746i
$532$	4.14661	+	43.9549i	0.179778	+	1.90569i
$533$	−0.414991	+	0.199849i	−0.0179752	+	0.00865642i
$534$	−2.18356	−	10.6463i	−0.0944918	−	0.460712i
$535$	2.11551	+	9.26866i	0.0914615	+	0.400719i
$536$	0.725547	+	0.0481861i	0.0313388	+	0.00208132i
$537$	−14.4700	−	11.5395i	−0.624427	−	0.497964i
$538$	13.6530	+	17.9190i	0.588625	+	0.772544i
$539$	28.7777	+	12.0538i	1.23954	+	0.519194i
$540$	7.26372	+	1.99943i	0.312581	+	0.0860418i
$541$	−14.2115	+	17.8206i	−0.610998	+	0.766167i	−0.987047	−	0.160433i	$-0.948711\pi$
$541$	−14.2115	+	17.8206i	−0.610998	+	0.766167i	0.376049	+	0.926600i	$0.377282\pi$
$542$	28.2923	−	5.80273i	1.21526	−	0.249249i
$543$	5.00179	−	1.14163i	0.214648	−	0.0489919i
$544$	10.5743	−	30.3826i	0.453370	−	1.30264i
$545$	15.1761	+	31.5134i	0.650071	+	1.34989i
$546$	0.154009	+	0.242960i	0.00659098	+	0.0103977i
$547$	−10.5783	+	21.9660i	−0.452294	+	0.939197i	0.542763	+	0.839886i	$0.317378\pi$
$547$	−10.5783	+	21.9660i	−0.452294	+	0.939197i	−0.995056	+	0.0993113i	$0.968336\pi$
$548$	−11.5234	+	4.93448i	−0.492257	+	0.210791i
$549$	4.11311	+	8.54096i	0.175543	+	0.364519i
$550$	−57.9130	−	1.28040i	−2.46942	−	0.0545964i
$551$	−11.3270	+	49.6268i	−0.482546	+	2.11417i
$552$	−5.21568	+	17.4325i	−0.221994	+	0.741978i
$553$	7.86631	−	1.09466i	0.334510	−	0.0465497i
$554$	7.09372	+	1.78494i	0.301383	+	0.0758347i
$555$	12.2892	+	25.5187i	0.521646	+	1.08321i
$556$	8.49360	+	4.56328i	0.360209	+	0.193526i
$557$	−30.0667			−1.27397			−0.636984	−	0.770877i	$-0.719818\pi$
$557$	−30.0667			−1.27397			−0.636984	+	0.770877i	$0.719818\pi$
$558$	0.100522	−	0.0765909i	0.00425544	−	0.00324235i
$559$	0.0739129	−	0.323834i	0.00312618	−	0.0136967i
$560$	36.7349	+	15.4858i	1.55233	+	0.654396i
$561$	−5.64037	−	24.7121i	−0.238137	−	1.04334i
$562$	24.5852	+	20.5113i	1.03707	+	0.865215i
$563$	−2.89058	−	3.62467i	−0.121823	−	0.152762i	0.717180	−	0.696888i	$-0.245433\pi$
$563$	−2.89058	−	3.62467i	−0.121823	−	0.152762i	−0.839003	+	0.544127i	$0.816861\pi$
$564$	−0.782145	+	0.334924i	−0.0329342	+	0.0141028i
$565$	75.4518	−	17.2214i	3.17428	−	0.724509i
$566$	1.52055	+	1.26858i	0.0639134	+	0.0533224i
$567$	−2.63594	−	0.227595i	−0.110699	−	0.00955810i
$568$	−3.91799	−	24.5775i	−0.164395	−	1.03125i
$569$	−1.98747			−0.0833190			−0.0416595	−	0.999132i	$-0.513264\pi$
$569$	−1.98747			−0.0833190			−0.0416595	+	0.999132i	$0.513264\pi$
$570$	26.9382	+	35.3552i	1.12832	+	1.48087i
$571$	22.8708	+	5.22011i	0.957113	+	0.218455i	0.672425	−	0.740166i	$-0.265253\pi$
$571$	22.8708	+	5.22011i	0.957113	+	0.218455i	0.284688	+	0.958620i	$0.408110\pi$
$572$	0.122823	+	0.674242i	0.00513548	+	0.0281915i
$573$	5.41505	−	4.31836i	0.226217	−	0.180402i
$574$	7.31990	−	21.1882i	0.305527	−	0.884378i
$575$	−46.2226	−	36.8613i	−1.92761	−	1.53722i
$576$	−4.11697	−	6.85934i	−0.171540	−	0.285806i
$577$	−22.8027	−	18.1845i	−0.949289	−	0.757032i	0.0207999	−	0.999784i	$-0.493379\pi$
$577$	−22.8027	−	18.1845i	−0.949289	−	0.757032i	−0.970089	+	0.242751i	$0.921950\pi$
$578$	−9.84319	+	19.3343i	−0.409423	+	0.804202i
$579$	11.4492	+	14.3568i	0.475811	+	0.596648i
$580$	34.6338	+	30.2178i	1.43809	+	1.25473i
$581$	27.3536	−	28.8184i	1.13482	−	1.19559i
$582$	2.49996	+	1.27274i	0.103626	+	0.0527567i
$583$	−10.9458	+	22.7293i	−0.453330	+	0.941349i
$584$	3.35660	+	4.83459i	0.138897	+	0.200057i
$585$	0.260925	+	0.125655i	0.0107879	+	0.00519518i
$586$	14.7240	+	0.325534i	0.608244	+	0.0134477i
$587$	15.7767			0.651175			0.325587	−	0.945512i	$-0.394438\pi$
$587$	15.7767			0.651175			0.325587	+	0.945512i	$0.394438\pi$
$588$	−13.6733	−	3.00696i	−0.563876	−	0.124005i
$589$	0.745593			0.0307216
$590$	−18.6899	−	0.413214i	−0.769449	−	0.0170117i
$591$	−22.6858	−	10.9249i	−0.933170	−	0.449391i
$592$	9.25571	−	28.6164i	0.380407	−	1.17613i
$593$	−4.52741	+	9.40127i	−0.185918	+	0.386064i	−0.973007	−	0.230777i	$-0.925873\pi$
$593$	−4.52741	+	9.40127i	−0.185918	+	0.386064i	0.787088	+	0.616840i	$0.211588\pi$
$594$	−5.61731	−	2.85980i	−0.230481	−	0.117339i
$595$	−48.7606	−	28.8934i	−1.99899	−	1.18451i
$596$	6.60952	−	7.57543i	0.270737	−	0.310302i
$597$	−11.5738	−	14.5131i	−0.473685	−	0.593982i
$598$	−0.317340	+	0.623330i	−0.0129770	+	0.0254899i
$599$	30.1746	+	24.0635i	1.23290	+	0.983207i	0.999943	+	0.0107201i	$0.00341237\pi$
$599$	30.1746	+	24.0635i	1.23290	+	0.983207i	0.232959	+	0.972486i	$0.425159\pi$
$600$	25.6687	−	4.09194i	1.04792	−	0.167053i
$601$	−30.5095	−	24.3305i	−1.24451	−	0.992464i	−0.999738	−	0.0228831i	$-0.992715\pi$
$601$	−30.5095	−	24.3305i	−1.24451	−	0.992464i	−0.244772	−	0.969581i	$-0.578713\pi$
$602$	8.65493	+	13.6538i	0.352749	+	0.556486i
$603$	−0.200997	+	0.160290i	−0.00818522	+	0.00652750i
$604$	−22.8546	+	4.16330i	−0.929942	+	0.169402i
$605$	32.5614	+	7.43194i	1.32381	+	0.302151i
$606$	4.65546	+	6.11008i	0.189115	+	0.248205i
$607$	1.30155			0.0528281			0.0264140	−	0.999651i	$-0.491591\pi$
$607$	1.30155			0.0528281			0.0264140	+	0.999651i	$0.491591\pi$
$608$	5.20608	−	46.9104i	0.211134	−	1.90247i
$609$	−13.8865	−	8.22854i	−0.562709	−	0.333437i
$610$	38.7777	+	32.3520i	1.57006	+	1.30989i
$611$	−0.0318864	+	0.00727786i	−0.00128999	+	0.000294431i
$612$	4.47721	+	10.4556i	0.180981	+	0.422642i
$613$	−4.62973	−	5.80549i	−0.186993	−	0.234482i	0.679495	−	0.733681i	$-0.262199\pi$
$613$	−4.62973	−	5.80549i	−0.186993	−	0.234482i	−0.866487	+	0.499199i	$0.833628\pi$
$614$	22.0121	+	18.3645i	0.888336	+	0.741132i
$615$	−5.02195	−	22.0026i	−0.202505	−	0.887231i
$616$	−27.5051	−	18.8675i	−1.10821	−	0.760194i
$617$	7.52170	−	32.9547i	0.302812	−	1.32671i	−0.563049	−	0.826423i	$-0.690372\pi$
$617$	7.52170	−	32.9547i	0.302812	−	1.32671i	0.865862	−	0.500284i	$-0.166771\pi$
$618$	6.32320	−	4.81784i	0.254356	−	0.193802i
$619$	38.0761			1.53041			0.765204	−	0.643788i	$-0.222638\pi$
$619$	38.0761			1.53041			0.765204	+	0.643788i	$0.222638\pi$
$620$	0.318629	−	0.593063i	0.0127965	−	0.0238180i
$621$	−2.79129	−	5.79618i	−0.112011	−	0.232593i
$622$	43.4337	+	10.9289i	1.74153	+	0.438208i
$623$	14.7468	+	13.9973i	0.590819	+	0.560790i
$624$	−0.108441	−	0.287768i	−0.00434110	−	0.0115199i
$625$	−3.00496	+	13.1656i	−0.120198	+	0.526623i
$626$	−23.9123	−	0.528676i	−0.955727	−	0.0211302i
$627$	−16.1356	−	33.5058i	−0.644392	−	1.33809i
$628$	−12.9838	−	30.3210i	−0.518111	−	1.20994i
$629$	−18.5529	+	38.5255i	−0.739752	+	1.53611i
$630$	−13.2851	+	4.70787i	−0.529291	+	0.187566i
$631$	18.0268	+	37.4330i	0.717635	+	1.49018i	0.865357	+	0.501155i	$0.167091\pi$
$631$	18.0268	+	37.4330i	0.717635	+	1.49018i	−0.147723	+	0.989029i	$0.547194\pi$
$632$	−8.47182	−	0.562643i	−0.336991	−	0.0223808i
$633$	−3.45637	+	0.788894i	−0.137378	+	0.0313557i
$634$	33.7015	−	6.91217i	1.33846	−	0.274517i
$635$	−25.9381	+	32.5253i	−1.02932	+	1.29073i
$636$	3.00424	−	10.9141i	0.119126	−	0.432772i
$637$	−0.496379	−	0.207913i	−0.0196672	−	0.00823782i
$638$	−23.3065	−	30.5888i	−0.922714	−	1.21102i
$639$	6.87948	+	5.48621i	0.272148	+	0.217031i
$640$	−35.0889	−	24.1882i	−1.38701	−	0.956124i
$641$	6.39434	+	28.0154i	0.252561	+	1.10654i	0.929010	+	0.370054i	$0.120661\pi$
$641$	6.39434	+	28.0154i	0.252561	+	1.10654i	−0.676449	+	0.736489i	$0.736482\pi$
$642$	0.717113	+	3.49641i	0.0283022	+	0.137992i
$643$	−43.2035	+	20.8057i	−1.70378	+	0.820497i	−0.710641	+	0.703555i	$0.751595\pi$
$643$	−43.2035	+	20.8057i	−1.70378	+	0.820497i	−0.993139	+	0.116943i	$0.962691\pi$
$644$	−10.6586	−	32.3301i	−0.420006	−	1.27398i
$645$	14.6633	+	7.06148i	0.577367	+	0.278046i
$646$	−16.3743	+	65.0751i	−0.644240	+	2.56034i
$647$	−0.126999	+	0.0611596i	−0.00499285	+	0.00240443i	−0.436378	−	0.899763i	$-0.643739\pi$
$647$	−0.126999	+	0.0611596i	−0.00499285	+	0.00240443i	0.431386	+	0.902168i	$0.358025\pi$
$648$	2.70974	+	0.810734i	0.106449	+	0.0318487i
$649$	15.2489	+	3.48047i	0.598572	+	0.136620i
$650$	0.998927	+	0.0220853i	0.0391811	+	0.000866255i
$651$	−0.0722434	+	0.225120i	−0.00283144	+	0.00882314i
$652$	0.890723	+	2.08010i	0.0348834	+	0.0814629i
$653$	34.6293	−	16.6766i	1.35515	−	0.652605i	0.391599	−	0.920136i	$-0.371922\pi$
$653$	34.6293	−	16.6766i	1.35515	−	0.652605i	0.963549	+	0.267531i	$0.0862077\pi$
$654$	5.43461	+	11.9540i	0.212510	+	0.467440i
$655$		−	28.1637i		−	1.10045i
$656$	−12.2640	+	20.5889i	−0.478827	+	0.803862i
$657$	−2.02870	−	0.463037i	−0.0791470	−	0.0180648i
$658$	0.841523	−	1.35114i	0.0328060	−	0.0526729i
$659$	−36.4302	+	8.31495i	−1.41912	+	0.323905i	−0.862160	−	0.506636i	$-0.830889\pi$
$659$	−36.4302	+	8.31495i	−1.41912	+	0.323905i	−0.556959	+	0.830540i	$0.688032\pi$
$660$	−33.5469	−	1.48410i	−1.30581	−	0.0577686i
$661$	31.5131	−	25.1308i	1.22572	−	0.977476i	0.225722	−	0.974192i	$-0.427526\pi$
$661$	31.5131	−	25.1308i	1.22572	−	0.977476i	0.999995	−	0.00328459i	$-0.00104552\pi$
$662$	5.77142	−	22.9368i	0.224312	−	0.891465i
$663$	0.0972893	+	0.426252i	0.00377840	+	0.0165543i
$664$	−34.8914	+	24.2247i	−1.35405	+	0.940101i
$665$	−79.1782	−	25.4091i	−3.07040	−	0.985324i
$666$	4.40080	+	9.68007i	0.170528	+	0.375095i
$667$		−	39.2485i		−	1.51971i
$668$	−2.58274	+	9.38284i	−0.0999293	+	0.363033i
$669$	0.322048	−	1.41098i	0.0124511	−	0.0545517i
$670$	−0.621357	+	1.22049i	−0.0240051	+	0.0471517i
$671$	−26.3442	−	33.0346i	−1.01701	−	1.27528i
$672$	13.6594	+	6.11722i	0.526923	+	0.235977i
$673$	15.8649	−	19.8939i	0.611547	−	0.766855i	−0.375581	−	0.926790i	$-0.622557\pi$
$673$	15.8649	−	19.8939i	0.611547	−	0.766855i	0.987128	+	0.159934i	$0.0511283\pi$
$674$	11.0091	+	24.2157i	0.424054	+	0.932754i
$675$	−5.72978	+	7.18492i	−0.220539	+	0.276548i
$676$	4.65748	+	25.5674i	0.179134	+	0.983363i
$677$	−7.62244	+	6.07869i	−0.292954	+	0.233623i	−0.758927	−	0.651176i	$-0.774276\pi$
$677$	−7.62244	+	6.07869i	−0.292954	+	0.233623i	0.465973	+	0.884799i	$0.345705\pi$
$678$	28.4627	−	5.83768i	1.09310	−	0.224195i
$679$	−5.19812	+	0.723361i	−0.199486	+	0.0277600i
$680$	44.7648	+	40.8344i	1.71665	+	1.56593i
$681$	10.0454	+	4.83762i	0.384941	+	0.185378i
$682$	−0.360846	+	0.432518i	−0.0138175	+	0.0165620i
$683$	−5.23185	+	10.8640i	−0.200191	+	0.415701i	−0.976761	−	0.214329i	$-0.931243\pi$
$683$	−5.23185	+	10.8640i	−0.200191	+	0.415701i	0.776570	+	0.630031i	$0.216958\pi$
$684$	9.81750	+	13.4936i	0.375381	+	0.515942i
$685$		−	23.6103i		−	0.902102i
$686$	24.1978	−	10.0232i	0.923877	−	0.382689i
$687$		−	26.8152i		−	1.02306i
$688$	−6.09410	−	16.1718i	−0.232335	−	0.616546i
$689$	0.188802	−	0.392051i	0.00719278	−	0.0149360i
$690$	−26.3159	−	21.9551i	−1.00183	−	0.835817i
$691$	7.02323	+	3.38221i	0.267176	+	0.128665i	0.562676	−	0.826678i	$-0.309772\pi$
$691$	7.02323	+	3.38221i	0.267176	+	0.128665i	−0.295500	+	0.955343i	$0.595486\pi$
$692$	8.47591	−	1.54401i	0.322206	−	0.0586944i
$693$	11.6800	−	1.62537i	0.443686	−	0.0617425i
$694$	−2.92525	−	14.2626i	−0.111041	−	0.541401i
$695$	−14.1981	+	11.3226i	−0.538566	+	0.429492i
$696$	12.7485	+	11.6292i	0.483232	+	0.440805i
$697$	21.2432	−	26.6381i	0.804644	−	1.00899i
$698$	−26.0936	+	11.8628i	−0.987659	+	0.449015i
$699$	9.87019	−	12.3768i	0.373325	−	0.468134i
$700$	−35.0034	+	33.7559i	−1.32300	+	1.27585i
$701$	−3.11122	−	3.90135i	−0.117509	−	0.147352i	0.719598	−	0.694391i	$-0.244326\pi$
$701$	−3.11122	−	3.90135i	−0.117509	−	0.147352i	−0.837107	+	0.547039i	$0.815755\pi$
$702$	0.0968916	+	0.0493279i	0.00365694	+	0.00186176i
$703$	−13.9599	+	61.1625i	−0.526509	+	2.30679i
$704$	24.6931	+	25.7234i	0.930657	+	0.969487i
$705$		−	1.60253i		−	0.0603547i
$706$	36.6379	−	16.6565i	1.37889	−	0.626877i
$707$	−13.6836	−	4.39120i	−0.514623	−	0.165148i
$708$	−7.01154	−	0.310188i	−0.263510	−	0.0116576i
$709$	−4.64857	−	20.3667i	−0.174581	−	0.764888i	−0.984074	−	0.177759i	$-0.943115\pi$
$709$	−4.64857	−	20.3667i	−0.174581	−	0.764888i	0.809493	−	0.587129i	$-0.199742\pi$
$710$	45.4586	+	11.4384i	1.70603	+	0.429275i
$711$	2.34693	−	1.87161i	0.0880168	−	0.0701910i
$712$	−12.3962	−	17.8545i	−0.464567	−	0.669127i
$713$	−0.560472	+	0.127924i	−0.0209898	+	0.00479080i
$714$	−18.0618	−	11.2493i	−0.675946	−	0.420996i
$715$	−1.25845	−	0.287233i	−0.0470634	−	0.0107419i
$716$	−35.6883	−	9.82366i	−1.33374	−	0.367127i
$717$			7.34047i			0.274135i
$718$	0.366880	−	0.166793i	0.0136918	−	0.00622465i
$719$	3.30991	−	1.59397i	0.123439	−	0.0594451i	−0.371145	−	0.928575i	$-0.621035\pi$
$719$	3.30991	−	1.59397i	0.123439	−	0.0594451i	0.494584	+	0.869130i	$0.335320\pi$
$720$	14.9287	−	2.04258i	0.556359	−	0.0761223i
$721$	−4.54436	+	14.1608i	−0.169241	+	0.527377i
$722$	−1.58219	+	71.5634i	−0.0588832	+	2.66331i
$723$	−8.17989	−	1.86701i	−0.304213	−	0.0694347i
$724$	8.29716	−	6.03673i	0.308362	−	0.224353i
$725$	−50.5138	+	24.3261i	−1.87603	+	0.903450i
$726$	12.1598	+	3.05968i	0.451293	+	0.113555i
$727$	−21.9013	−	10.5471i	−0.812275	−	0.391171i	−0.0188372	−	0.999823i	$-0.505996\pi$
$727$	−21.9013	−	10.5471i	−0.812275	−	0.391171i	−0.793438	+	0.608652i	$0.791711\pi$
$728$	0.474428	+	0.325441i	0.0175835	+	0.0120617i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−10.8593	+	2.22723i	−0.401920	+	0.0824335i
$731$	5.46742	+	23.9543i	0.202220	+	0.885983i
$732$	14.2862	+	12.4646i	0.528033	+	0.460706i
$733$	−0.308010	−	0.245630i	−0.0113766	−	0.00907256i	0.617785	−	0.786347i	$-0.288030\pi$
$733$	−0.308010	−	0.245630i	−0.0113766	−	0.00907256i	−0.629162	+	0.777275i	$0.716602\pi$
$734$	38.7628	−	29.5346i	1.43076	−	1.09014i
$735$	15.3438	−	21.4446i	0.565964	−	0.790997i
$736$	4.13511	+	36.1564i	0.152422	+	1.33274i
$737$	0.714437	−	0.895876i	0.0263166	−	0.0330000i
$738$	−1.70233	−	8.30004i	−0.0626638	−	0.305529i
$739$	2.70373	−	0.617109i	0.0994584	−	0.0227007i	−0.172502	−	0.985009i	$-0.555185\pi$
$739$	2.70373	−	0.617109i	0.0994584	−	0.0227007i	0.271960	+	0.962308i	$0.412328\pi$
$740$	42.6844	+	37.2419i	1.56911	+	1.36904i
$741$	0.278318	+	0.577934i	0.0102243	+	0.0212309i
$742$	7.07379	+	19.9615i	0.259687	+	0.732809i
$743$	5.39373	−	11.2002i	0.197877	−	0.410896i	−0.778294	−	0.627900i	$-0.783914\pi$
$743$	5.39373	−	11.2002i	0.197877	−	0.410896i	0.976171	+	0.217005i	$0.0696288\pi$
$744$	0.124514	−	0.219954i	0.00456492	−	0.00806390i
$745$	8.21580	+	17.0603i	0.301004	+	0.625041i
$746$	0.202125	−	9.14220i	0.00740032	−	0.334720i
$747$	3.34175	−	14.6412i	0.122268	−	0.535692i
$748$	−29.8253	−	40.9933i	−1.09052	−	1.49886i
$749$	−4.84308	−	4.59692i	−0.176962	−	0.167968i
$750$	−5.44655	+	21.6457i	−0.198880	+	0.790390i
$751$	10.7992	+	22.4248i	0.394069	+	0.818292i	0.999745	+	0.0225810i	$0.00718835\pi$
$751$	10.7992	+	22.4248i	0.394069	+	0.818292i	−0.605676	+	0.795711i	$0.707097\pi$
$752$	−1.17432	+	1.23153i	−0.0428229	+	0.0449094i
$753$	8.32868			0.303514
$754$	0.402009	+	0.527618i	0.0146403	+	0.0192147i
$755$	9.73628	−	42.6574i	0.354340	−	1.55246i
$756$	−5.02544	+	1.65679i	−0.182774	+	0.0602567i
$757$	8.21554	+	35.9946i	0.298599	+	1.30825i	0.872215	+	0.489123i	$0.162683\pi$
$757$	8.21554	+	35.9946i	0.298599	+	1.30825i	−0.573616	+	0.819124i	$0.694460\pi$
$758$	−12.0855	+	14.4859i	−0.438964	+	0.526151i
$759$	17.8780	+	22.4184i	0.648932	+	0.813735i
$760$	77.3612	+	43.7937i	2.80619	+	1.58856i
$761$	5.48637	−	1.25223i	0.198881	−	0.0453932i	−0.121920	−	0.992540i	$-0.538905\pi$
$761$	5.48637	−	1.25223i	0.198881	−	0.0453932i	0.320801	+	0.947147i	$0.396048\pi$
$762$	−10.0054	+	11.9927i	−0.362457	+	0.434448i
$763$	−21.1348	−	12.5236i	−0.765131	−	0.453383i
$764$	6.55597	−	12.2026i	0.237187	−	0.441475i
$765$	−21.4223			−0.774527
$766$	−11.3236	+	8.62782i	−0.409139	+	0.311736i
$767$	−0.263025	−	0.0600337i	−0.00949728	−	0.00216769i
$768$	−12.9694	−	9.36989i	−0.467993	−	0.338107i
$769$	−16.6358	+	13.2666i	−0.599903	+	0.478406i	−0.875730	−	0.482801i	$-0.839620\pi$
$769$	−16.6358	+	13.2666i	−0.599903	+	0.478406i	0.275828	+	0.961207i	$0.411048\pi$
$770$	53.0599	−	33.6339i	1.91215	−	1.21208i
$771$	11.9240	+	9.50908i	0.429433	+	0.342461i
$772$	32.3524	+	17.3817i	1.16439	+	0.625580i
$773$	−25.5154	−	20.3479i	−0.917726	−	0.731862i	0.0459476	−	0.998944i	$-0.485369\pi$
$773$	−25.5154	−	20.3479i	−0.917726	−	0.731862i	−0.963674	+	0.267081i	$0.913941\pi$
$774$	5.44507	+	2.77211i	0.195719	+	0.0996413i
$775$	0.512020	+	0.642053i	0.0183923	+	0.0230632i
$776$	5.59824	+	0.371799i	0.200965	+	0.0133468i
$777$	−17.1144	−	10.1412i	−0.613976	−	0.363815i
$778$	14.4961	−	28.4737i	0.519710	−	1.02083i
$779$	21.6889	−	45.0375i	0.777087	−	1.61364i
$780$	0.578643	+	0.0255989i	0.0207187	+	0.000916589i
$781$	−35.3355	−	17.0167i	−1.26440	−	0.608904i
$782$	1.14364	−	51.7272i	0.0408964	−	1.84976i
$783$	−6.10086			−0.218027
$784$	−27.5060	+	5.23631i	−0.982358	+	0.187011i
$785$	62.1244			2.21732
$786$	0.233711	−	10.5709i	0.00833620	−	0.377050i
$787$	9.39920	+	4.52642i	0.335045	+	0.161349i	0.593840	−	0.804583i	$-0.297611\pi$
$787$	9.39920	+	4.52642i	0.335045	+	0.161349i	−0.258795	+	0.965932i	$0.583325\pi$
$788$	−50.3095	−	2.22567i	−1.79220	−	0.0792863i
$789$	−2.59586	+	5.39035i	−0.0924150	+	0.191902i
$790$	7.25525	−	14.2510i	0.258130	−	0.507029i
$791$	−37.4213	+	39.4252i	−1.33055	+	1.40180i
$792$	−12.5790	−	0.835419i	−0.446977	−	0.0296853i
$793$	0.454404	+	0.569805i	0.0161364	+	0.0202344i
$794$	−26.9136	−	13.7018i	−0.955127	−	0.486259i
$795$	16.6694	+	13.2934i	0.591201	+	0.471467i
$796$	−32.7047	−	17.5709i	−1.15919	−	0.622785i
$797$	−24.7003	−	19.6978i	−0.874929	−	0.697732i	0.0792868	−	0.996852i	$-0.474736\pi$
$797$	−24.7003	−	19.6978i	−0.874929	−	0.697732i	−0.954216	+	0.299119i	$0.903307\pi$
$798$	−29.5076	−	10.1940i	−1.04456	−	0.360864i
$799$	1.89151	−	1.50843i	0.0669167	−	0.0533643i
$800$	43.9712	−	27.7316i	1.55462	−	0.980461i
$801$	7.49213	+	1.71003i	0.264721	+	0.0604209i
$802$	−16.3869	+	12.4857i	−0.578641	+	0.440884i
$803$	9.27476			0.327299
$804$	−0.243346	+	0.452938i	−0.00858214	+	0.0159739i
$805$	63.8789	+	5.51549i	2.25144	+	0.194396i
$806$	0.00622415	−	0.00746040i	0.000219236	−	0.000262781i
$807$	−15.5301	+	3.54464i	−0.546685	+	0.124777i
$808$	13.3695	+	7.56841i	0.470339	+	0.266256i
$809$	−6.39616	−	8.02052i	−0.224877	−	0.281987i	0.656575	−	0.754261i	$-0.272005\pi$
$809$	−6.39616	−	8.02052i	−0.224877	−	0.281987i	−0.881452	+	0.472274i	$0.843433\pi$
$810$	−3.41274	+	4.09059i	−0.119912	+	0.143729i
$811$	4.81531	+	21.0972i	0.169088	+	0.740824i	0.986364	+	0.164578i	$0.0526261\pi$
$811$	4.81531	+	21.0972i	0.169088	+	0.740824i	−0.817276	+	0.576247i	$0.804517\pi$
$812$	−32.0089	−	4.19583i	−1.12329	−	0.147245i
$813$	−4.54435	+	19.9101i	−0.159377	+	0.698277i
$814$	−28.7241	−	37.6991i	−1.00678	−	1.32135i
$815$	−4.26189			−0.149287
$816$	16.4630	+	15.6981i	0.576319	+	0.549543i
$817$	15.6408	+	32.4785i	0.547203	+	1.13628i
$818$	8.96336	−	35.6223i	0.313397	−	1.24550i
$819$	−0.201465	+	0.0280355i	−0.00703977	+	0.000979641i
$820$	−26.5552	−	36.4987i	−0.927349	−	1.27459i
$821$	6.78055	−	29.7075i	0.236643	−	1.03680i	−0.707358	−	0.706856i	$-0.750113\pi$
$821$	6.78055	−	29.7075i	0.236643	−	1.03680i	0.944001	−	0.329944i	$-0.107030\pi$
$822$	0.195925	−	8.86178i	0.00683367	−	0.309090i
$823$	10.9106	+	22.6561i	0.380319	+	0.789741i	0.999988	+	0.00487749i	$0.00155256\pi$
$823$	10.9106	+	22.6561i	0.380319	+	0.789741i	−0.619669	+	0.784863i	$0.712733\pi$
$824$	7.83240	−	13.8359i	0.272855	−	0.481995i
$825$	17.7722	−	36.9043i	0.618748	−	1.28484i
$826$	11.0899	−	7.02973i	0.385867	−	0.244595i
$827$	−12.0630	−	25.0491i	−0.419472	−	0.871043i	−0.998448	−	0.0556982i	$-0.982262\pi$
$827$	−12.0630	−	25.0491i	−0.419472	−	0.871043i	0.578975	−	0.815345i	$-0.303453\pi$
$828$	−9.69510	−	8.45892i	−0.336928	−	0.293968i
$829$	8.28204	−	1.89032i	0.287647	−	0.0656535i	−0.0762628	−	0.997088i	$-0.524299\pi$
$829$	8.28204	−	1.89032i	0.287647	−	0.0656535i	0.363910	+	0.931434i	$0.381442\pi$
$830$	−16.0740	−	78.3718i	−0.557937	−	2.72032i
$831$	−3.22492	+	4.04392i	−0.111871	+	0.140282i
$832$	−0.425925	−	0.443697i	−0.0147663	−	0.0153824i
$833$	39.7544	−	2.07471i	1.37741	−	0.0718844i
$834$	−5.42303	+	4.13197i	−0.187784	+	0.143078i
$835$	−14.3306	−	11.4283i	−0.495933	−	0.395493i
$836$	−56.0442	−	48.8983i	−1.93833	−	1.69118i
$837$	0.0198848	+	0.0871208i	0.000687318	+	0.00301133i
$838$	−12.0700	+	2.47554i	−0.416950	+	0.0855162i
$839$	29.9936	−	14.4441i	1.03549	−	0.498667i	0.162658	−	0.986682i	$-0.447993\pi$
$839$	29.9936	−	14.4441i	1.03549	−	0.498667i	0.872835	+	0.488015i	$0.162279\pi$
$840$	−20.7186	+	19.1147i	−0.714861	+	0.659518i
$841$	−7.40644	−	3.56675i	−0.255395	−	0.122992i
$842$	−4.29801	−	1.08148i	−0.148119	−	0.0372701i
$843$	−20.3980	+	9.82316i	−0.702544	+	0.338327i
$844$	−5.73356	+	4.17154i	−0.197357	+	0.143590i
$845$	−47.7208	−	10.8920i	−1.64164	−	0.374695i
$846$	0.0132983	−	0.601486i	0.000457203	−	0.0206795i
$847$	−21.9321	+	8.32223i	−0.753597	+	0.285955i
$848$	−3.06906	−	22.4310i	−0.105392	−	0.770285i
$849$	−1.26158	+	0.607543i	−0.0432972	+	0.0208508i
$850$	−67.2829	+	30.5885i	−2.30779	+	1.04918i
$851$		−	48.3718i		−	1.65816i
$852$	16.9673	+	4.67047i	0.581291	+	0.160008i
$853$	−0.276154	−	0.0630304i	−0.00945533	−	0.00215812i	0.217791	−	0.975996i	$-0.430115\pi$
$853$	−0.276154	−	0.0630304i	−0.00945533	−	0.00215812i	−0.227246	+	0.973837i	$0.572972\pi$
$854$	−35.2624	−	3.83159i	−1.20666	−	0.131114i
$855$	−30.6418	+	6.99378i	−1.04793	+	0.239182i
$856$	4.07109	+	5.86369i	0.139147	+	0.200417i
$857$	26.7864	−	21.3614i	0.915006	−	0.729693i	−0.0480920	−	0.998843i	$-0.515314\pi$
$857$	26.7864	−	21.3614i	0.915006	−	0.729693i	0.963098	+	0.269150i	$0.0867426\pi$
$858$	−0.469958	−	0.118252i	−0.0160441	−	0.00403705i
$859$	0.717181	+	3.14217i	0.0244699	+	0.107210i	0.985688	−	0.168580i	$-0.0539180\pi$
$859$	0.717181	+	3.14217i	0.0244699	+	0.107210i	−0.961218	+	0.275789i	$0.911061\pi$
$860$	32.5183	+	1.43860i	1.10886	+	0.0490557i
$861$	11.4968	+	10.9125i	0.391811	+	0.371897i
$862$	35.3461	−	16.0692i	1.20389	−	0.547320i
$863$		−	27.8256i		−	0.947195i	−0.880741	−	0.473597i	$-0.842955\pi$
$863$		−	27.8256i		−	0.947195i	0.880741	−	0.473597i	$-0.157045\pi$
$864$	5.62022	−	0.642769i	0.191204	−	0.0218674i
$865$	−3.61081	+	15.8200i	−0.122771	+	0.537896i
$866$	−1.13915	−	0.579946i	−0.0387099	−	0.0197074i
$867$	−9.56508	−	11.9942i	−0.324847	−	0.407346i
$868$	0.0444109	+	0.470765i	0.00150740	+	0.0159788i
$869$	−8.34209	+	10.4607i	−0.282986	+	0.354853i
$870$	−29.5868	+	13.4509i	−1.00309	+	0.456029i
$871$	−0.0123231	+	0.0154527i	−0.000417554	+	0.000523596i
$872$	19.4029	+	17.6993i	0.657064	+	0.599374i
$873$	−1.55087	+	1.23678i	−0.0524890	+	0.0418586i
$874$	−15.2516	−	74.3622i	−0.515895	−	2.51534i
$875$	−14.8145	−	39.0415i	−0.500820	−	1.31984i
$876$	−4.09436	+	0.745846i	−0.138335	+	0.0251998i
$877$	−32.7822	−	15.7871i	−1.10698	−	0.533092i	−0.211131	−	0.977458i	$-0.567715\pi$
$877$	−32.7822	−	15.7871i	−1.10698	−	0.533092i	−0.895845	+	0.444366i	$0.853429\pi$
$878$	9.66820	+	8.06610i	0.326286	+	0.272218i
$879$	−4.51847	+	9.38270i	−0.152404	+	0.316470i
$880$	−62.8454	+	23.6823i	−2.11852	+	0.798329i
$881$		−	35.2771i		−	1.18851i	−0.804275	−	0.594257i	$-0.797446\pi$
$881$		−	35.2771i		−	1.18851i	0.804275	−	0.594257i	$-0.202554\pi$
$882$	5.93702	−	7.92160i	0.199910	−	0.266734i
$883$			23.6936i			0.797354i	0.917092	+	0.398677i	$0.130530\pi$
$883$			23.6936i			0.797354i	−0.917092	+	0.398677i	$0.869470\pi$
$884$	0.514449	+	0.707083i	0.0173028	+	0.0237818i
$885$	5.73549	−	11.9099i	0.192796	−	0.400346i
$886$	16.8483	−	20.1948i	0.566031	−	0.678457i
$887$	23.6571	+	11.3926i	0.794327	+	0.382528i	0.786616	−	0.617443i	$-0.211831\pi$
$887$	23.6571	+	11.3926i	0.794327	+	0.382528i	0.00771101	+	0.999970i	$0.497545\pi$
$888$	15.7119	+	14.3324i	0.527258	+	0.480965i
$889$	2.51352	−	29.1109i	0.0843007	−	0.976348i
$890$	40.1041	−	8.22534i	1.34429	−	0.275714i
$891$	3.48475	−	2.77900i	0.116744	−	0.0930998i
$892$	−0.518745	−	2.84767i	−0.0173689	−	0.0953472i
$893$	2.21309	−	2.77512i	0.0740581	−	0.0928659i
$894$	2.94211	+	6.47151i	0.0983990	+	0.216440i
$895$	43.4685	−	54.5077i	1.45299	−	1.82199i
$896$	29.9292	+	0.492907i	0.999864	+	0.0164669i
$897$	−0.308374	−	0.386689i	−0.0102963	−	0.0129112i
$898$	12.1998	−	23.9633i	0.407114	−	0.799667i
$899$	−0.121314	+	0.531512i	−0.00404605	+	0.0177269i
$900$	−4.87782	+	17.7206i	−0.162594	+	0.590687i
$901$			32.1881i			1.07234i
$902$	15.6294	+	34.3787i	0.520403	+	1.14468i
$903$	−11.3219	+	1.57553i	−0.376768	+	0.0524303i
$904$	47.7335	−	33.1408i	1.58759	−	1.10225i
$905$	4.30044	+	18.8415i	0.142952	+	0.626312i
$906$	4.00836	−	15.9301i	0.133169	−	0.529241i
$907$	−44.7718	+	35.7043i	−1.48662	+	1.18554i	−0.550022	+	0.835150i	$0.685380\pi$
$907$	−44.7718	+	35.7043i	−1.48662	+	1.18554i	−0.936603	+	0.350393i	$0.886048\pi$
$908$	22.2773	+	0.985541i	0.739300	+	0.0327063i
$909$	−5.29550	+	1.20866i	−0.175641	+	0.0400888i
$910$	−0.915218	+	0.580144i	−0.0303392	+	0.0192316i
$911$	−2.82047	−	0.643754i	−0.0934463	−	0.0213285i	0.175542	−	0.984472i	$-0.443832\pi$
$911$	−2.82047	−	0.643754i	−0.0934463	−	0.0213285i	−0.268988	+	0.963143i	$0.586689\pi$
$912$	28.6730	+	17.0793i	0.949459	+	0.565552i
$913$			66.9363i			2.21527i
$914$	−4.06668	−	8.94514i	−0.134514	−	0.295879i
$915$	−32.1733	+	15.4938i	−1.06362	+	0.512211i
$916$	−21.1111	−	49.3005i	−0.697529	−	1.62893i
$917$	10.9572	+	16.4691i	0.361839	+	0.543858i
$918$	−8.04057	−	0.177769i	−0.265378	−	0.00586725i
$919$	−1.80022	−	0.410888i	−0.0593837	−	0.0135539i	0.192726	−	0.981253i	$-0.438267\pi$
$919$	−1.80022	−	0.410888i	−0.0593837	−	0.0135539i	−0.252110	+	0.967699i	$0.581124\pi$
$920$	−65.6673	−	19.6472i	−2.16499	−	0.647748i
$921$	−18.2631	+	8.79505i	−0.601790	+	0.289807i
$922$	−1.13200	+	4.49883i	−0.0372806	+	0.148161i
$923$	0.609493	+	0.293516i	0.0200617	+	0.00966121i
$924$	20.1944	−	12.1837i	0.664347	−	0.400815i
$925$	−62.2556	+	29.9807i	−2.04695	+	0.985760i
$926$	6.94889	+	33.8806i	0.228355	+	1.11338i
$927$	1.25082	+	5.48021i	0.0410824	+	0.179994i
$928$	32.5940	+	11.3440i	1.06995	+	0.372384i
$929$	32.0036	+	25.5220i	1.05000	+	0.837350i	0.987009	−	0.160664i	$-0.0513635\pi$
$929$	32.0036	+	25.5220i	1.05000	+	0.837350i	0.0629945	+	0.998014i	$0.479935\pi$
$930$	0.288514	+	0.378661i	0.00946073	+	0.0124168i
$931$	56.1860	−	15.9463i	1.84142	−	0.522618i
$932$	8.40260	−	30.5258i	0.275236	−	0.999904i
$933$	−19.7456	+	24.7603i	−0.646444	+	0.810615i
$934$	32.4414	−	6.65372i	1.06152	−	0.217716i
$935$	93.0889	−	21.2469i	3.04433	−	0.694849i
$936$	0.216973	+	0.0144099i	0.00709198	+	0.000471004i
$937$	3.90633	+	8.11158i	0.127614	+	0.264994i	0.954980	−	0.296669i	$-0.0958760\pi$
$937$	3.90633	+	8.11158i	0.127614	+	0.264994i	−0.827366	+	0.561663i	$0.810162\pi$
$938$	−0.111490	−	0.955440i	−0.00364029	−	0.0311962i
$939$	7.33813	−	15.2378i	0.239471	−	0.497266i
$940$	−1.26164	−	2.94629i	−0.0411501	−	0.0960975i
$941$	21.1655	+	43.9506i	0.689975	+	1.43275i	0.891387	+	0.453242i	$0.149733\pi$
$941$	21.1655	+	43.9506i	0.689975	+	1.43275i	−0.201412	+	0.979507i	$0.564553\pi$
$942$	23.3175	+	0.515527i	0.759726	+	0.0167968i
$943$	−8.57661	+	37.5766i	−0.279293	+	1.22366i
$944$	−13.1351	+	4.94976i	−0.427512	+	0.161101i
$945$	0.857338	−	9.92945i	0.0278892	−	0.323005i
$946$	−26.4105	−	6.64546i	−0.858678	−	0.216063i
$947$	−18.0855	−	37.5548i	−0.587698	−	1.22037i	−0.956737	−	0.290954i	$-0.906027\pi$
$947$	−18.0855	−	37.5548i	−0.587698	−	1.22037i	0.369039	−	0.929414i	$-0.379687\pi$
$948$	2.84142	−	5.28871i	0.0922849	−	0.171769i
$949$	−0.159978			−0.00519311
$950$	−86.2529	+	65.7187i	−2.79841	+	2.13220i
$951$	−5.41319	+	23.7167i	−0.175535	+	0.769067i
$952$	−42.0636	−	6.46254i	−1.36329	−	0.209452i
$953$	7.15707	+	31.3572i	0.231840	+	1.01576i	0.948112	+	0.317937i	$0.102990\pi$
$953$	7.15707	+	31.3572i	0.231840	+	1.01576i	−0.716272	+	0.697822i	$0.754153\pi$
$954$	6.14630	+	5.12781i	0.198994	+	0.166019i
$955$	16.2670	+	20.3982i	0.526388	+	0.660070i
$956$	5.77901	+	13.4957i	0.186906	+	0.436481i
$957$	26.5108	−	6.05091i	0.856971	−	0.195598i
$958$	−38.0703	−	31.7617i	−1.23000	−	1.02618i
$959$	9.18566	+	13.8064i	0.296621	+	0.445832i
$960$	25.8387	−	15.5084i	0.833942	−	0.500531i
$961$	−30.9920			−0.999742
$962$	0.495455	+	0.650263i	0.0159741	+	0.0209653i
$963$	−2.46053	−	0.561599i	−0.0792893	−	0.0180973i
$964$	−16.5088	+	3.00732i	−0.531713	+	0.0968593i
$965$	−54.0812	+	43.1283i	−1.74094	+	1.38835i
$966$	23.9303	+	2.60025i	0.769944	+	0.0836616i
$967$	44.0580	+	35.1350i	1.41681	+	1.12987i	0.972203	+	0.234140i	$0.0752276\pi$
$967$	44.0580	+	35.1350i	1.41681	+	1.12987i	0.444606	+	0.895726i	$0.353344\pi$
$968$	24.7650	−	3.94787i	0.795976	−	0.126889i
$969$	−37.0974	−	29.5842i	−1.19174	−	0.950381i
$970$	−4.79433	+	9.41719i	−0.153937	+	0.302368i
$971$	8.85703	+	11.1064i	0.284236	+	0.356420i	0.903368	−	0.428867i	$-0.141087\pi$
$971$	8.85703	+	11.1064i	0.284236	+	0.356420i	−0.619132	+	0.785287i	$0.712516\pi$
$972$	−1.31487	+	1.50702i	−0.0421745	+	0.0483378i
$973$	3.89743	−	12.1449i	0.124946	−	0.389347i
$974$	8.24813	+	4.19916i	0.264287	+	0.134550i
$975$	−0.306548	+	0.636553i	−0.00981739	+	0.0203860i
$976$	36.0788	+	11.6693i	1.15485	+	0.373527i
$977$	−52.0524	−	25.0671i	−1.66530	−	0.801968i	−0.998383	−	0.0568402i	$-0.981897\pi$
$977$	−52.0524	−	25.0671i	−1.66530	−	0.801968i	−0.666921	−	0.745128i	$-0.732388\pi$
$978$	−1.59964	−	0.0353664i	−0.0511508	−	0.00113089i
$979$	−34.2524			−1.09471
$980$	11.3270	−	51.5064i	0.361829	−	1.64531i
$981$	−9.28532			−0.296457
$982$	−23.0639	−	0.509921i	−0.736000	−	0.0162722i
$983$	0.455845	+	0.219524i	0.0145392	+	0.00700171i	0.441139	−	0.897439i	$-0.354574\pi$
$983$	0.455845	+	0.219524i	0.0145392	+	0.00700171i	−0.426600	+	0.904440i	$0.640289\pi$
$984$	−9.66425	−	13.9196i	−0.308085	−	0.443742i
$985$	41.1535	−	85.4562i	1.31126	−	2.72286i
$986$	−43.7260	−	22.2611i	−1.39252	−	0.708937i
$987$	0.623470	+	0.937099i	0.0198453	+	0.0298282i
$988$	0.966693	+	0.843434i	0.0307546	+	0.0268332i
$989$	−17.3299	−	21.7310i	−0.551057	−	0.691004i
$990$	10.7727	−	21.1601i	0.342378	−	0.672511i
$991$	−23.4583	−	18.7074i	−0.745177	−	0.594259i	0.175548	−	0.984471i	$-0.443830\pi$
$991$	−23.4583	−	18.7074i	−0.745177	−	0.594259i	−0.920725	+	0.390212i	$0.872402\pi$
$992$	0.0557581	−	0.502419i	0.00177032	−	0.0159518i
$993$	13.0756	+	10.4275i	0.414942	+	0.330905i
$994$	−31.0326	+	10.9971i	−0.984295	+	0.348807i
$995$	54.6700	−	43.5979i	1.73316	−	1.38215i
$996$	−5.38280	−	29.5491i	−0.170561	−	0.936300i
$997$	7.93383	+	1.81084i	0.251267	+	0.0573500i	0.346299	−	0.938124i	$-0.387438\pi$
$997$	7.93383	+	1.81084i	0.251267	+	0.0573500i	−0.0950322	+	0.995474i	$0.530295\pi$
$998$	11.5434	+	15.1502i	0.365399	+	0.479570i
$999$	−7.51900			−0.237891

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.14	✓	168
4.3	odd	2		588.2.x.b.55.3	yes	168
49.41	odd	14		588.2.x.b.139.3	yes	168
196.139	even	14	inner	588.2.x.a.139.14	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.14	✓	168	1.1	even	1	trivial
588.2.x.a.139.14	yes	168	196.139	even	14	inner
588.2.x.b.55.3	yes	168	4.3	odd	2
588.2.x.b.139.3	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0312592 + 1.41387i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99805 - 0.0883928i) q^{4} +(1.63442 - 3.39390i) q^{5} +(0.641618 - 1.26029i) q^{6} +(0.364664 + 2.62050i) q^{7} +(0.187433 - 2.82221i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.0312592 + 1.41387i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99805 - 0.0883928i) q^{4} +(1.63442 - 3.39390i) q^{5} +(0.641618 - 1.26029i) q^{6} +(0.364664 + 2.62050i) q^{7} +(0.187433 - 2.82221i) q^{8} +(0.623490 + 0.781831i) q^{9} +(4.74743 + 2.41694i) q^{10} +(-3.48475 - 2.77900i) q^{11} +(1.76182 + 0.946559i) q^{12} +(0.0601076 + 0.0479342i) q^{13} +(-3.71644 + 0.433672i) q^{14} +(-2.94511 + 2.34865i) q^{15} +(3.98437 + 0.353226i) q^{16} +(-5.54435 - 1.26546i) q^{17} +(-1.12490 + 0.857093i) q^{18} -8.34358 q^{19} +(-3.56563 + 6.63669i) q^{20} +(0.808442 - 2.51921i) q^{21} +(4.03806 - 4.84011i) q^{22} +(6.27198 - 1.43154i) q^{23} +(-1.39338 + 2.46140i) q^{24} +(-5.72978 - 7.18492i) q^{25} +(-0.0696516 + 0.0834858i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-0.496982 - 5.26811i) q^{28} +(1.35757 - 5.94790i) q^{29} +(-3.22862 - 4.23742i) q^{30} -0.0893613 q^{31} +(-0.623963 + 5.62234i) q^{32} +(1.93389 + 4.01576i) q^{33} +(1.96251 - 7.79942i) q^{34} +(9.48972 + 3.04535i) q^{35} +(-1.17665 - 1.61725i) q^{36} +(1.67314 - 7.33048i) q^{37} +(0.260814 - 11.7967i) q^{38} +(-0.0333572 - 0.0692669i) q^{39} +(-9.27195 - 5.24879i) q^{40} +(-2.59948 + 5.39787i) q^{41} +(3.53656 + 1.22178i) q^{42} +(-1.87459 - 3.89263i) q^{43} +(6.71705 + 5.86059i) q^{44} +(3.67250 - 0.838224i) q^{45} +(1.82795 + 8.91250i) q^{46} +(-0.265244 + 0.332606i) q^{47} +(-3.43654 - 2.04700i) q^{48} +(-6.73404 + 1.91120i) q^{49} +(10.3376 - 7.87656i) q^{50} +(4.44622 + 3.54574i) q^{51} +(-0.115861 - 0.101088i) q^{52} +(-1.25947 - 5.51810i) q^{53} +(1.38538 - 0.284140i) q^{54} +(-15.1272 + 7.28485i) q^{55} +(7.46395 - 0.537990i) q^{56} +(7.51730 + 3.62014i) q^{57} +(8.36711 + 2.10535i) q^{58} +(-3.16168 + 1.52258i) q^{59} +(6.09208 - 4.43238i) q^{60} +(9.24207 + 2.10944i) q^{61} +(0.00279336 - 0.126345i) q^{62} +(-1.82143 + 1.91896i) q^{63} +(-7.92974 - 1.05795i) q^{64} +(0.260925 - 0.125655i) q^{65} +(-5.73821 + 2.60874i) q^{66} +0.257085i q^{67} +(10.9660 + 3.01853i) q^{68} +(-6.27198 - 1.43154i) q^{69} +(-4.60237 + 13.3220i) q^{70} +(8.57858 - 1.95800i) q^{71} +(2.32336 - 1.61308i) q^{72} +(-1.62689 + 1.29740i) q^{73} +(10.3120 + 2.59474i) q^{74} +(2.04494 + 8.95945i) q^{75} +(16.6709 + 0.737512i) q^{76} +(6.01159 - 10.1452i) q^{77} +(0.0989770 - 0.0449974i) q^{78} -3.00184i q^{79} +(7.71093 - 12.9452i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-7.55062 - 3.84405i) q^{82} +(-9.36338 - 11.7413i) q^{83} +(-1.83798 + 4.96204i) q^{84} +(-13.3566 + 16.7487i) q^{85} +(5.56226 - 2.52875i) q^{86} +(-3.80383 + 4.76985i) q^{87} +(-8.49607 + 9.31382i) q^{88} +(6.00822 - 4.79140i) q^{89} +(1.07034 + 5.21863i) q^{90} +(-0.103693 + 0.174992i) q^{91} +(-12.6582 + 2.30588i) q^{92} +(0.0805117 + 0.0387724i) q^{93} +(-0.461969 - 0.385417i) q^{94} +(-13.6369 + 28.3173i) q^{95} +(3.00161 - 4.79482i) q^{96} +1.98364i q^{97} +(-2.49169 - 9.58079i) q^{98} -4.45716i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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