LMFDB - Embedded newform 770.2.bi.a.27.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(27,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([5, 10, 8]))

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

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

chi := DirichletCharacter("770.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.bi (of order $20$, degree $8$, 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:	$6.14848095564$
Analytic rank:	$0$
Dimension:	$384$
Relative dimension:	$48$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			27.7
Character	$\chi$	$=$	770.27
Dual form			770.2.bi.a.713.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 + 0.891007i) q^{2} +(-0.275125 - 1.73707i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(2.06245 - 0.863892i) q^{5} +(1.67264 + 0.543475i) q^{6} +(-0.479663 + 2.60191i) q^{7} +(0.987688 - 0.156434i) q^{8} +(-0.0885490 + 0.0287713i) q^{9} +O(q^{10})$	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.275125 - 1.73707i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(2.06245 - 0.863892i) q^{5} +(1.67264 + 0.543475i) q^{6} +(-0.479663 + 2.60191i) q^{7} +(0.987688 - 0.156434i) q^{8} +(-0.0885490 + 0.0287713i) q^{9} +(-0.166598 + 2.22985i) q^{10} +(3.20450 - 0.855087i) q^{11} +(-1.24360 + 1.24360i) q^{12} +(-2.26116 + 4.43777i) q^{13} +(-2.10055 - 1.60862i) q^{14} +(-2.06807 - 3.34494i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.976679 + 1.91684i) q^{17} +(0.0145650 - 0.0919597i) q^{18} +(6.79762 + 4.93876i) q^{19} +(-1.91118 - 1.16077i) q^{20} +(4.65166 + 0.117358i) q^{21} +(-0.692925 + 3.24343i) q^{22} +(-0.701422 + 0.701422i) q^{23} +(-0.543475 - 1.67264i) q^{24} +(3.50738 - 3.56346i) q^{25} +(-2.92754 - 4.02941i) q^{26} +(-2.32099 - 4.55520i) q^{27} +(2.38693 - 1.14131i) q^{28} +(-3.12328 - 4.29883i) q^{29} +(3.91925 - 0.324095i) q^{30} +(-7.37826 + 2.39734i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.36698 - 5.33119i) q^{33} -2.15132 q^{34} +(1.25849 + 5.78068i) q^{35} +(0.0753243 + 0.0547263i) q^{36} +(8.99773 + 1.42510i) q^{37} +(-7.48653 + 3.81458i) q^{38} +(8.33082 + 2.70685i) q^{39} +(1.90191 - 1.17589i) q^{40} +(6.35564 - 8.74779i) q^{41} +(-2.21638 + 4.09138i) q^{42} +(1.95916 - 1.95916i) q^{43} +(-2.57534 - 2.08989i) q^{44} +(-0.157772 + 0.135836i) q^{45} +(-0.306533 - 0.943411i) q^{46} +(-2.14101 + 0.339102i) q^{47} +(1.73707 + 0.275125i) q^{48} +(-6.53985 - 2.49608i) q^{49} +(1.58275 + 4.74288i) q^{50} +(3.06098 - 2.22393i) q^{51} +(4.91931 - 0.779142i) q^{52} +(6.19302 + 3.15550i) q^{53} +5.11242 q^{54} +(5.87041 - 4.53191i) q^{55} +(-0.0667292 + 2.64491i) q^{56} +(6.70878 - 13.1667i) q^{57} +(5.24823 - 0.831238i) q^{58} +(1.75784 - 1.27714i) q^{59} +(-1.49053 + 3.63921i) q^{60} +(7.62797 + 2.47848i) q^{61} +(1.21361 - 7.66245i) q^{62} +(-0.0323867 - 0.244197i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-0.829764 + 11.1061i) q^{65} +(5.82471 + 0.311311i) q^{66} +(0.558566 + 0.558566i) q^{67} +(0.976679 - 1.91684i) q^{68} +(1.41140 + 1.02544i) q^{69} +(-5.72196 - 1.50305i) q^{70} +(1.94663 - 5.99110i) q^{71} +(-0.0829580 + 0.0422692i) q^{72} +(-0.0331153 - 0.00524494i) q^{73} +(-5.35466 + 7.37005i) q^{74} +(-7.15495 - 5.11217i) q^{75} -8.40233i q^{76} +(0.687777 + 8.74797i) q^{77} +(-6.19393 + 6.19393i) q^{78} +(-9.94541 + 3.23146i) q^{79} +(0.184279 + 2.22846i) q^{80} +(-7.50011 + 5.44915i) q^{81} +(4.90894 + 9.63433i) q^{82} +(-10.2121 + 5.20331i) q^{83} +(-2.63923 - 3.83226i) q^{84} +(3.67029 + 3.10964i) q^{85} +(0.856185 + 2.63507i) q^{86} +(-6.60808 + 6.60808i) q^{87} +(3.03128 - 1.34585i) q^{88} +5.20799 q^{89} +(-0.0494037 - 0.202245i) q^{90} +(-10.4621 - 8.01196i) q^{91} +(0.979748 + 0.155177i) q^{92} +(6.19429 + 12.1570i) q^{93} +(0.669854 - 2.06160i) q^{94} +(18.2863 + 4.31353i) q^{95} +(-1.03375 + 1.42284i) q^{96} +(0.965951 + 0.492177i) q^{97} +(5.19305 - 4.69385i) q^{98} +(-0.259153 + 0.167915i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 384 q - 4 q^{7}+O(q^{10}) $ 384 * q - 4 * q^7	$ 384 q - 4 q^{7} + 24 q^{15} + 96 q^{16} + 16 q^{22} + 16 q^{23} - 40 q^{25} + 4 q^{28} + 16 q^{30} - 32 q^{35} + 80 q^{36} - 64 q^{37} + 44 q^{42} - 80 q^{43} - 16 q^{46} - 64 q^{50} - 136 q^{51} + 80 q^{53} + 8 q^{56} - 112 q^{57} - 96 q^{58} + 68 q^{63} - 272 q^{65} + 160 q^{67} - 8 q^{70} + 16 q^{71} + 96 q^{77} + 24 q^{81} - 80 q^{85} - 16 q^{88} - 84 q^{91} + 16 q^{92} + 88 q^{93} - 184 q^{95} - 32 q^{98}+O(q^{100}) $ 384 * q - 4 * q^7 + 24 * q^15 + 96 * q^16 + 16 * q^22 + 16 * q^23 - 40 * q^25 + 4 * q^28 + 16 * q^30 - 32 * q^35 + 80 * q^36 - 64 * q^37 + 44 * q^42 - 80 * q^43 - 16 * q^46 - 64 * q^50 - 136 * q^51 + 80 * q^53 + 8 * q^56 - 112 * q^57 - 96 * q^58 + 68 * q^63 - 272 * q^65 + 160 * q^67 - 8 * q^70 + 16 * q^71 + 96 * q^77 + 24 * q^81 - 80 * q^85 - 16 * q^88 - 84 * q^91 + 16 * q^92 + 88 * q^93 - 184 * q^95 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{4}\right)$	$-1$

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 $

$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$3$	−0.275125	−	1.73707i	−0.158843	−	1.00290i	−0.930349	−	0.366675i	$-0.880496\pi$
$3$	−0.275125	−	1.73707i	−0.158843	−	1.00290i	0.771506	−	0.636223i	$-0.219504\pi$
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	2.06245	−	0.863892i	0.922355	−	0.386344i
$5$	2.06245	−	0.863892i	0.922355	−	0.386344i
$6$	1.67264	+	0.543475i	0.682854	+	0.221873i
$7$	−0.479663	+	2.60191i	−0.181295	+	0.983429i
$7$	−0.479663	+	2.60191i	−0.181295	+	0.983429i
$8$	0.987688	−	0.156434i	0.349201	−	0.0553079i
$9$	−0.0885490	+	0.0287713i	−0.0295163	+	0.00959044i
$10$	−0.166598	+	2.22985i	−0.0526830	+	0.705141i
$11$	3.20450	−	0.855087i	0.966193	−	0.257818i
$11$	3.20450	−	0.855087i	0.966193	−	0.257818i
$12$	−1.24360	+	1.24360i	−0.358998	+	0.358998i
$13$	−2.26116	+	4.43777i	−0.627132	+	1.23082i	0.330767	+	0.943712i	$0.392692\pi$
$13$	−2.26116	+	4.43777i	−0.627132	+	1.23082i	−0.957899	+	0.287104i	$0.907308\pi$
$14$	−2.10055	−	1.60862i	−0.561397	−	0.429923i
$15$	−2.06807	−	3.34494i	−0.533974	−	0.863659i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	0.976679	+	1.91684i	0.236879	+	0.464902i	0.978590	−	0.205818i	$-0.0659854\pi$
$17$	0.976679	+	1.91684i	0.236879	+	0.464902i	−0.741711	+	0.670720i	$0.765985\pi$
$18$	0.0145650	−	0.0919597i	0.00343300	−	0.0216751i
$19$	6.79762	+	4.93876i	1.55948	+	1.13303i	0.936433	+	0.350847i	$0.114106\pi$
$19$	6.79762	+	4.93876i	1.55948	+	1.13303i	0.623049	+	0.782182i	$0.285894\pi$
$20$	−1.91118	−	1.16077i	−0.427353	−	0.259557i
$21$	4.65166	+	0.117358i	1.01508	+	0.0256097i
$22$	−0.692925	+	3.24343i	−0.147732	+	0.691502i
$23$	−0.701422	+	0.701422i	−0.146257	+	0.146257i	−0.776444	−	0.630187i	$-0.782978\pi$
$23$	−0.701422	+	0.701422i	−0.146257	+	0.146257i	0.630187	+	0.776444i	$0.282978\pi$
$24$	−0.543475	−	1.67264i	−0.110936	−	0.341427i
$25$	3.50738	−	3.56346i	0.701476	−	0.712693i
$26$	−2.92754	−	4.02941i	−0.574138	−	0.790233i
$27$	−2.32099	−	4.55520i	−0.446675	−	0.876649i
$28$	2.38693	−	1.14131i	0.451087	−	0.215687i
$29$	−3.12328	−	4.29883i	−0.579979	−	0.798273i	0.413714	−	0.910407i	$-0.364231\pi$
$29$	−3.12328	−	4.29883i	−0.579979	−	0.798273i	−0.993693	+	0.112134i	$0.964231\pi$
$30$	3.91925	−	0.324095i	0.715553	−	0.0591714i
$31$	−7.37826	+	2.39734i	−1.32517	+	0.430575i	−0.884269	−	0.466978i	$-0.845343\pi$
$31$	−7.37826	+	2.39734i	−1.32517	+	0.430575i	−0.440906	+	0.897554i	$0.645343\pi$
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	−2.36698	−	5.33119i	−0.412039	−	0.928041i
$34$	−2.15132			−0.368948
$35$	1.25849	+	5.78068i	0.212723	+	0.977112i
$36$	0.0753243	+	0.0547263i	0.0125541	+	0.00912105i
$37$	8.99773	+	1.42510i	1.47922	+	0.234285i	0.843288	−	0.537462i	$-0.180617\pi$
$37$	8.99773	+	1.42510i	1.47922	+	0.234285i	0.635929	+	0.771747i	$0.280617\pi$
$38$	−7.48653	+	3.81458i	−1.21448	+	0.618806i
$39$	8.33082	+	2.70685i	1.33400	+	0.433442i
$40$	1.90191	−	1.17589i	0.300719	−	0.185925i
$41$	6.35564	−	8.74779i	0.992584	−	1.36617i	0.0628175	−	0.998025i	$-0.479991\pi$
$41$	6.35564	−	8.74779i	0.992584	−	1.36617i	0.929767	−	0.368150i	$-0.120009\pi$
$42$	−2.21638	+	4.09138i	−0.341995	+	0.631314i
$43$	1.95916	−	1.95916i	0.298769	−	0.298769i	−0.541762	−	0.840532i	$-0.682243\pi$
$43$	1.95916	−	1.95916i	0.298769	−	0.298769i	0.840532	+	0.541762i	$0.182243\pi$
$44$	−2.57534	−	2.08989i	−0.388247	−	0.315063i
$45$	−0.157772	+	0.135836i	−0.0235193	+	0.0202493i
$46$	−0.306533	−	0.943411i	−0.0451958	−	0.139098i
$47$	−2.14101	+	0.339102i	−0.312298	+	0.0494631i	−0.310616	−	0.950535i	$-0.600535\pi$
$47$	−2.14101	+	0.339102i	−0.312298	+	0.0494631i	−0.00168181	+	0.999999i	$0.500535\pi$
$48$	1.73707	+	0.275125i	0.250724	+	0.0397109i
$49$	−6.53985	−	2.49608i	−0.934264	−	0.356582i
$50$	1.58275	+	4.74288i	0.223835	+	0.670744i
$51$	3.06098	−	2.22393i	0.428623	−	0.311413i
$52$	4.91931	−	0.779142i	0.682185	−	0.108048i
$53$	6.19302	+	3.15550i	0.850677	+	0.433442i	0.824261	−	0.566209i	$-0.191591\pi$
$53$	6.19302	+	3.15550i	0.850677	+	0.433442i	0.0264158	+	0.999651i	$0.491591\pi$
$54$	5.11242			0.695712
$55$	5.87041	−	4.53191i	0.791566	−	0.611083i
$56$	−0.0667292	+	2.64491i	−0.00891706	+	0.353441i
$57$	6.70878	−	13.1667i	0.888600	−	1.74398i
$58$	5.24823	−	0.831238i	0.689126	−	0.109147i
$59$	1.75784	−	1.27714i	0.228851	−	0.166270i	−0.467451	−	0.884019i	$-0.654828\pi$
$59$	1.75784	−	1.27714i	0.228851	−	0.166270i	0.696302	+	0.717749i	$0.254828\pi$
$60$	−1.49053	+	3.63921i	−0.192427	+	0.469820i
$61$	7.62797	+	2.47848i	0.976661	+	0.317336i	0.753502	−	0.657446i	$-0.228363\pi$
$61$	7.62797	+	2.47848i	0.976661	+	0.317336i	0.223159	+	0.974782i	$0.428363\pi$
$62$	1.21361	−	7.66245i	0.154129	−	0.973132i
$63$	−0.0323867	−	0.244197i	−0.00408034	−	0.0307659i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	−0.829764	+	11.1061i	−0.102920	+	1.37754i
$66$	5.82471	+	0.311311i	0.716972	+	0.0383197i
$67$	0.558566	+	0.558566i	0.0682397	+	0.0682397i	0.740403	−	0.672163i	$-0.234635\pi$
$67$	0.558566	+	0.558566i	0.0682397	+	0.0682397i	−0.672163	+	0.740403i	$0.734635\pi$
$68$	0.976679	−	1.91684i	0.118440	−	0.232451i
$69$	1.41140	+	1.02544i	0.169912	+	0.123449i
$70$	−5.72196	−	1.50305i	−0.683905	−	0.179649i
$71$	1.94663	−	5.99110i	0.231022	−	0.711013i	−0.766602	−	0.642122i	$-0.778054\pi$
$71$	1.94663	−	5.99110i	0.231022	−	0.711013i	0.997624	−	0.0688903i	$-0.0219459\pi$
$72$	−0.0829580	+	0.0422692i	−0.00977670	+	0.00498148i
$73$	−0.0331153	−	0.00524494i	−0.00387585	−	0.000613874i	0.154496	−	0.987993i	$-0.450625\pi$
$73$	−0.0331153	−	0.00524494i	−0.00387585	−	0.000613874i	−0.158372	+	0.987380i	$0.550625\pi$
$74$	−5.35466	+	7.37005i	−0.622466	+	0.856751i
$75$	−7.15495	−	5.11217i	−0.826183	−	0.590302i
$76$		−	8.40233i		−	0.963813i
$77$	0.687777	+	8.74797i	0.0783795	+	0.996924i
$78$	−6.19393	+	6.19393i	−0.701325	+	0.701325i
$79$	−9.94541	+	3.23146i	−1.11895	+	0.363568i	−0.809365	−	0.587306i	$-0.800189\pi$
$79$	−9.94541	+	3.23146i	−1.11895	+	0.363568i	−0.309581	+	0.950873i	$0.600189\pi$
$80$	0.184279	+	2.22846i	0.0206030	+	0.249150i
$81$	−7.50011	+	5.44915i	−0.833346	+	0.605461i
$82$	4.90894	+	9.63433i	0.542101	+	1.06393i
$83$	−10.2121	+	5.20331i	−1.12092	+	0.571137i	−0.913388	−	0.407091i	$-0.866543\pi$
$83$	−10.2121	+	5.20331i	−1.12092	+	0.571137i	−0.207532	+	0.978228i	$0.566543\pi$
$84$	−2.63923	−	3.83226i	−0.287964	−	0.418133i
$85$	3.67029	+	3.10964i	0.398099	+	0.337288i
$86$	0.856185	+	2.63507i	0.0923248	+	0.284146i
$87$	−6.60808	+	6.60808i	−0.708460	+	0.708460i
$88$	3.03128	−	1.34585i	0.323136	−	0.143468i
$89$	5.20799			0.552046			0.276023	−	0.961151i	$-0.410983\pi$
$89$	5.20799			0.552046			0.276023	+	0.961151i	$0.410983\pi$
$90$	−0.0494037	−	0.202245i	−0.00520761	−	0.0213185i
$91$	−10.4621	−	8.01196i	−1.09672	−	0.839881i
$92$	0.979748	+	0.155177i	0.102146	+	0.0161783i
$93$	6.19429	+	12.1570i	0.642318	+	1.26062i
$94$	0.669854	−	2.06160i	0.0690902	−	0.212638i
$95$	18.2863	+	4.31353i	1.87614	+	0.442559i
$96$	−1.03375	+	1.42284i	−0.105507	+	0.145218i
$97$	0.965951	+	0.492177i	0.0980774	+	0.0499730i	0.502341	−	0.864670i	$-0.332472\pi$
$97$	0.965951	+	0.492177i	0.0980774	+	0.0499730i	−0.404264	+	0.914642i	$0.632472\pi$
$98$	5.19305	−	4.69385i	0.524577	−	0.474151i
$99$	−0.259153	+	0.167915i	−0.0260459	+	0.0168761i
$100$	−4.94449	−	0.742979i	−0.494449	−	0.0742979i
$101$	−9.97231	+	3.24020i	−0.992281	+	0.322412i	−0.759777	−	0.650184i	$-0.774692\pi$
$101$	−9.97231	+	3.24020i	−0.992281	+	0.322412i	−0.232504	+	0.972595i	$0.574692\pi$
$102$	0.591882	+	3.73699i	0.0586050	+	0.370018i
$103$	−4.36748	−	0.691742i	−0.430341	−	0.0681593i	−0.0624934	−	0.998045i	$-0.519905\pi$
$103$	−4.36748	−	0.691742i	−0.430341	−	0.0681593i	−0.367848	+	0.929886i	$0.619905\pi$
$104$	−1.53910	+	4.73686i	−0.150921	+	0.464487i
$105$	9.69520	−	3.77649i	0.946154	−	0.368548i
$106$	−5.62315	+	4.08546i	−0.546168	+	0.396815i
$107$	−1.17850	−	7.44076i	−0.113930	−	0.719325i	−0.976841	−	0.213969i	$-0.931361\pi$
$107$	−1.17850	−	7.44076i	−0.113930	−	0.719325i	0.862911	−	0.505356i	$-0.168639\pi$
$108$	−2.32099	+	4.55520i	−0.223337	+	0.438324i
$109$		−	15.4718i		−	1.48193i	−0.671546	−	0.740963i	$-0.734369\pi$
$109$		−	15.4718i		−	1.48193i	0.671546	−	0.740963i	$-0.265631\pi$
$110$	1.37285	+	7.28802i	0.130896	+	0.694886i
$111$		−	16.0218i		−	1.52072i
$112$	−2.32634	−	1.26022i	−0.219818	−	0.119080i
$113$	4.87708	−	0.772454i	0.458797	−	0.0726663i	0.0772419	−	0.997012i	$-0.475389\pi$
$113$	4.87708	−	0.772454i	0.458797	−	0.0726663i	0.381555	+	0.924346i	$0.375389\pi$
$114$	8.68592	+	11.9551i	0.813511	+	1.11970i
$115$	−0.840694	+	2.05260i	−0.0783951	+	0.191406i
$116$	−1.64201	+	5.05358i	−0.152457	+	0.469213i
$117$	0.0725427	−	0.458017i	0.00670658	−	0.0423437i
$118$	0.339901	+	2.14605i	0.0312905	+	0.197560i
$119$	−5.45592	+	1.62179i	−0.500143	+	0.148669i
$120$	−2.56587	−	2.98024i	−0.234231	−	0.272057i
$121$	9.53765	−	5.48025i	0.867059	−	0.498205i
$122$	−5.67136	+	5.67136i	−0.513461	+	0.513461i
$123$	−16.9441	−	8.63346i	−1.52780	−	0.778453i
$124$	6.27632	+	4.56001i	0.563630	+	0.409501i
$125$	4.15534	−	10.3795i	0.371665	−	0.928367i
$126$	0.232284	+	0.0820064i	0.0206935	+	0.00730571i
$127$	−15.3777	+	7.83534i	−1.36455	+	0.695274i	−0.974262	−	0.225417i	$-0.927625\pi$
$127$	−15.3777	+	7.83534i	−1.36455	+	0.695274i	−0.390290	+	0.920692i	$0.627625\pi$
$128$	−0.156434	+	0.987688i	−0.0138270	+	0.0873001i
$129$	−3.94221	−	2.86419i	−0.347093	−	0.252177i
$130$	−9.51887	−	5.78137i	−0.834860	−	0.507060i
$131$			9.23828i			0.807153i	0.914946	+	0.403576i	$0.132233\pi$
$131$			9.23828i			0.807153i	−0.914946	+	0.403576i	$0.867767\pi$
$132$	−2.92174	+	5.04852i	−0.254305	+	0.439418i
$133$	−16.1108	+	15.3179i	−1.39698	+	1.32823i
$134$	−0.751269	+	0.244102i	−0.0648998	+	0.0210872i
$135$	−8.72212	−	7.38978i	−0.750681	−	0.636011i
$136$	1.26451	+	1.74045i	0.108431	+	0.149243i
$137$	5.55427	−	2.83004i	0.474533	−	0.241787i	−0.200332	−	0.979728i	$-0.564202\pi$
$137$	5.55427	−	2.83004i	0.474533	−	0.241787i	0.674865	+	0.737941i	$0.264202\pi$
$138$	−1.55444	+	0.792025i	−0.132322	+	0.0674216i
$139$	0.609648	−	0.442935i	0.0517097	−	0.0375693i	−0.561630	−	0.827388i	$-0.689826\pi$
$139$	0.609648	−	0.442935i	0.0517097	−	0.0375693i	0.613340	+	0.789819i	$0.289826\pi$
$140$	3.93694	−	4.41593i	0.332732	−	0.373215i
$141$	1.17809	+	3.62578i	0.0992129	+	0.305346i
$142$	4.45436	+	4.45436i	0.373801	+	0.373801i
$143$	−3.45120	+	16.1543i	−0.288604	+	1.35089i
$144$		−	0.0931060i		−	0.00775883i
$145$	−10.1553	−	6.16793i	−0.843355	−	0.512219i
$146$	0.0197073	−	0.0271248i	0.00163099	−	0.00224486i
$147$	−2.53658	+	12.0469i	−0.209214	+	0.993612i
$148$	−4.13580	−	8.11697i	−0.339961	−	0.667211i
$149$	19.6433	+	6.38250i	1.60924	+	0.522874i	0.969370	−	0.245607i	$-0.0789872\pi$
$149$	19.6433	+	6.38250i	1.60924	+	0.522874i	0.639872	+	0.768481i	$0.278987\pi$
$150$	7.80326	−	4.05423i	0.637133	−	0.331027i
$151$	−3.26866	−	2.37482i	−0.266000	−	0.193260i	0.446788	−	0.894640i	$-0.352568\pi$
$151$	−3.26866	−	2.37482i	−0.266000	−	0.193260i	−0.712788	+	0.701380i	$0.752568\pi$
$152$	7.48653	+	3.81458i	0.607238	+	0.309403i
$153$	−0.141634	−	0.141634i	−0.0114504	−	0.0114504i
$154$	−8.10674	−	3.35868i	−0.653260	−	0.270650i
$155$	−13.1462	+	11.3184i	−1.05593	+	0.909117i
$156$	−2.70685	−	8.33082i	−0.216721	−	0.666999i
$157$	−23.1711	+	3.66994i	−1.84925	+	0.292893i	−0.979629	−	0.200818i	$-0.935640\pi$
$157$	−23.1711	+	3.66994i	−1.84925	+	0.292893i	−0.869626	+	0.493711i	$0.835640\pi$
$158$	1.63587	−	10.3285i	0.130143	−	0.821689i
$159$	3.77748	−	11.6259i	0.299573	−	0.921992i
$160$	−2.06923	−	0.847507i	−0.163587	−	0.0670013i
$161$	−1.48859	−	2.16148i	−0.117317	−	0.170349i
$162$	−1.45025	−	9.15651i	−0.113942	−	0.719404i
$163$	−11.8031	−	6.01396i	−0.924488	−	0.471050i	−0.0741262	−	0.997249i	$-0.523617\pi$
$163$	−11.8031	−	6.01396i	−0.924488	−	0.471050i	−0.850362	+	0.526199i	$0.823617\pi$
$164$	−10.8129			−0.844342
$165$	−9.48735	−	8.95048i	−0.738589	−	0.696794i
$166$		−	11.4613i		−	0.889567i
$167$	3.63983	+	1.85459i	0.281659	+	0.143512i	0.589113	−	0.808050i	$-0.299477\pi$
$167$	3.63983	+	1.85459i	0.281659	+	0.143512i	−0.307454	+	0.951563i	$0.599477\pi$
$168$	4.61275	−	0.611767i	0.355882	−	0.0471989i
$169$	−6.93977	−	9.55177i	−0.533828	−	0.734752i
$170$	−4.43699	+	1.85851i	−0.340301	+	0.142541i
$171$	−0.744018	−	0.241746i	−0.0568965	−	0.0184868i
$172$	−2.73656	−	0.433429i	−0.208661	−	0.0330486i
$173$	−3.00912	−	18.9988i	−0.228779	−	1.44445i	−0.788123	−	0.615517i	$-0.788947\pi$
$173$	−3.00912	−	18.9988i	−0.228779	−	1.44445i	0.559344	−	0.828935i	$-0.311053\pi$
$174$	−2.88784	−	8.88784i	−0.218926	−	0.673786i
$175$	7.58944	+	10.8351i	0.573708	+	0.819060i
$176$	−0.177010	+	3.31190i	−0.0133426	+	0.249644i
$177$	−2.70211	−	2.70211i	−0.203103	−	0.203103i
$178$	−2.36438	+	4.64036i	−0.177218	+	0.347809i
$179$	0.286999	−	0.395020i	0.0214513	−	0.0295252i	−0.798157	−	0.602450i	$-0.794191\pi$
$179$	0.286999	−	0.395020i	0.0214513	−	0.0295252i	0.819608	+	0.572925i	$0.194191\pi$
$180$	0.202630	+	0.0477981i	0.0151032	+	0.00356266i
$181$	−14.5471	−	4.72663i	−1.08127	−	0.351327i	−0.286406	−	0.958108i	$-0.592461\pi$
$181$	−14.5471	−	4.72663i	−1.08127	−	0.351327i	−0.794869	+	0.606781i	$0.792461\pi$
$182$	11.8884	−	5.68443i	0.881226	−	0.421358i
$183$	2.20664	−	13.9322i	0.163120	−	1.02990i
$184$	−0.583060	+	0.802513i	−0.0429838	+	0.0591621i
$185$	19.7885	−	4.83387i	1.45488	−	0.355393i
$186$	−13.6441			−1.00043
$187$	4.76883	+	5.30737i	0.348732	+	0.388113i
$188$	1.53279	+	1.53279i	0.111790	+	0.111790i
$189$	12.9655	−	3.85404i	0.943102	−	0.280340i
$190$	−12.1452	+	14.3349i	−0.881105	+	1.03996i
$191$	−5.58034	+	4.05435i	−0.403779	+	0.293363i	−0.771078	−	0.636740i	$-0.780282\pi$
$191$	−5.58034	+	4.05435i	−0.403779	+	0.293363i	0.367299	+	0.930103i	$0.380282\pi$
$192$	−0.798443	−	1.56703i	−0.0576227	−	0.113091i
$193$	4.12860	+	8.10282i	0.297183	+	0.583254i	0.990521	−	0.137358i	$-0.0438610\pi$
$193$	4.12860	+	8.10282i	0.297183	+	0.583254i	−0.693339	+	0.720612i	$0.743861\pi$
$194$	−0.877065	+	0.637225i	−0.0629696	+	0.0457501i
$195$	19.5203	−	1.61420i	1.39788	−	0.115595i
$196$	1.82466	+	6.75800i	0.130333	+	0.482715i
$197$	1.14461	+	1.14461i	0.0815497	+	0.0815497i	0.746705	−	0.665155i	$-0.231635\pi$
$197$	1.14461	+	1.14461i	0.0815497	+	0.0815497i	−0.665155	+	0.746705i	$0.731635\pi$
$198$	−0.0319600	−	0.307139i	−0.00227130	−	0.0218274i
$199$	9.75976			0.691851			0.345925	−	0.938262i	$-0.387565\pi$
$199$	9.75976			0.691851			0.345925	+	0.938262i	$0.387565\pi$
$200$	2.90675	−	4.06827i	0.205538	−	0.287670i
$201$	0.816592	−	1.12394i	0.0575980	−	0.0792768i
$202$	1.64029	−	10.3564i	0.115411	−	0.728674i
$203$	12.6833	−	6.06451i	0.890192	−	0.425645i
$204$	−3.59839	−	1.16919i	−0.251938	−	0.0818596i
$205$	5.55103	−	23.5324i	0.387701	−	1.64358i
$206$	2.59914	−	3.57741i	0.181091	−	0.249250i
$207$	0.0419294	−	0.0822911i	0.00291430	−	0.00571963i
$208$	−3.52183	−	3.52183i	−0.244195	−	0.244195i
$209$	26.0061	+	10.0137i	1.79888	+	0.692663i
$210$	−1.03665	+	10.3530i	−0.0715357	+	0.714423i
$211$	−0.676608	−	2.08239i	−0.0465796	−	0.143357i	0.925062	−	0.379817i	$-0.124013\pi$
$211$	−0.676608	−	2.08239i	−0.0465796	−	0.143357i	−0.971641	+	0.236459i	$0.924013\pi$
$212$	−1.08731	−	6.86502i	−0.0746769	−	0.471491i
$213$	−10.9425	−	1.73313i	−0.749769	−	0.118752i
$214$	7.16479	+	2.32798i	0.489775	+	0.159138i
$215$	2.34816	−	5.73317i	0.160143	−	0.390999i
$216$	−3.00501	−	4.13604i	−0.204465	−	0.281422i
$217$	−2.69859	−	20.3475i	−0.183192	−	1.38128i
$218$	13.7854	+	7.02403i	0.933668	+	0.475727i
$219$			0.0589665i			0.00398459i
$220$	−7.11694	−	2.08547i	−0.479824	−	0.140602i
$221$	−10.7149			−0.720764
$222$	14.2755	+	7.27373i	0.958108	+	0.488181i
$223$	−1.02986	−	6.50225i	−0.0689642	−	0.435423i	−0.997877	−	0.0651248i	$-0.979255\pi$
$223$	−1.02986	−	6.50225i	−0.0689642	−	0.435423i	0.928913	−	0.370298i	$-0.120745\pi$
$224$	2.17900	−	1.50065i	0.145591	−	0.100267i
$225$	−0.208050	+	0.416453i	−0.0138700	+	0.0277636i
$226$	−1.52589	+	4.69620i	−0.101500	+	0.312386i
$227$	−3.86113	+	24.3782i	−0.256272	+	1.61804i	0.438445	+	0.898758i	$0.355529\pi$
$227$	−3.86113	+	24.3782i	−0.256272	+	1.61804i	−0.694718	+	0.719282i	$0.744471\pi$
$228$	−14.5954	+	2.31169i	−0.966606	+	0.153095i
$229$	2.57786	+	7.93385i	0.170350	+	0.524283i	0.999391	−	0.0349051i	$-0.0111129\pi$
$229$	2.57786	+	7.93385i	0.170350	+	0.524283i	−0.829041	+	0.559188i	$0.811113\pi$
$230$	−1.44721	−	1.68092i	−0.0954264	−	0.110837i
$231$	15.0066	−	3.60150i	0.987362	−	0.236961i
$232$	−3.75732	−	3.75732i	−0.246680	−	0.246680i
$233$	−14.6467	−	7.46288i	−0.959539	−	0.488910i	−0.0972136	−	0.995264i	$-0.530993\pi$
$233$	−14.6467	−	7.46288i	−0.959539	−	0.488910i	−0.862326	+	0.506354i	$0.830993\pi$
$234$	0.375162	+	0.272571i	0.0245251	+	0.0178185i
$235$	−4.12277	+	2.54898i	−0.268940	+	0.166277i
$236$	−2.06646	−	0.671433i	−0.134515	−	0.0437066i
$237$	8.34950	+	16.3868i	0.542358	+	1.06444i
$238$	1.03191	−	5.59754i	0.0668887	−	0.362834i
$239$	−15.4095	+	21.2094i	−0.996761	+	1.37192i	−0.0694689	+	0.997584i	$0.522130\pi$
$239$	−15.4095	+	21.2094i	−0.996761	+	1.37192i	−0.927292	+	0.374339i	$0.877870\pi$
$240$	3.82029	−	0.933210i	0.246599	−	0.0602385i
$241$		−	14.9517i		−	0.963125i	−0.876412	−	0.481563i	$-0.840069\pi$
$241$		−	14.9517i		−	0.963125i	0.876412	−	0.481563i	$-0.159931\pi$
$242$	0.552936	+	10.9861i	0.0355441	+	0.706213i
$243$	0.683942	+	0.683942i	0.0438749	+	0.0438749i
$244$	−2.47848	−	7.62797i	−0.158668	−	0.488330i
$245$	−15.6444	+	0.501695i	−0.999486	+	0.0320521i
$246$	15.3849	−	11.1778i	0.980907	−	0.712671i
$247$	−37.2876	+	18.9990i	−2.37255	+	1.20888i
$248$	−6.91239	+	3.52204i	−0.438937	+	0.223650i
$249$	11.8481	+	16.3075i	0.750843	+	1.03345i
$250$	7.36168	+	8.41461i	0.465593	+	0.532187i
$251$	4.61987	−	1.50109i	0.291603	−	0.0947477i	−0.159562	−	0.987188i	$-0.551008\pi$
$251$	4.61987	−	1.50109i	0.291603	−	0.0947477i	0.451166	+	0.892440i	$0.351008\pi$
$252$	−0.178523	+	0.169737i	−0.0112459	+	0.0106924i
$253$	−1.64793	+	2.84749i	−0.103605	+	0.179020i
$254$		−	17.2588i		−	1.08292i
$255$	4.39187	−	7.23109i	0.275030	−	0.452829i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	0.981998	−	6.20009i	0.0612554	−	0.386751i	−0.937946	−	0.346783i	$-0.887274\pi$
$257$	0.981998	−	6.20009i	0.0612554	−	0.386751i	0.999201	−	0.0399687i	$-0.0127258\pi$
$258$	4.34174	−	2.21222i	0.270305	−	0.137727i
$259$	−8.02385	+	22.7277i	−0.498578	+	1.41223i
$260$	9.47272	−	5.85669i	0.587473	−	0.363216i
$261$	0.400247	+	0.290796i	0.0247747	+	0.0179998i
$262$	−8.23137	−	4.19409i	−0.508536	−	0.259112i
$263$	6.48066	−	6.48066i	0.399615	−	0.399615i	−0.478482	−	0.878097i	$-0.658813\pi$
$263$	6.48066	−	6.48066i	0.399615	−	0.399615i	0.878097	+	0.478482i	$0.158813\pi$
$264$	−3.17182	−	4.89527i	−0.195212	−	0.301283i
$265$	15.4988	+	1.15796i	0.952084	+	0.0711327i
$266$	−6.33417	−	21.3090i	−0.388373	−	1.30654i
$267$	−1.43285	−	9.04665i	−0.0876889	−	0.553646i
$268$	0.123572	−	0.780206i	0.00754839	−	0.0476587i
$269$	1.55432	−	4.78372i	0.0947688	−	0.291668i	−0.892425	−	0.451197i	$-0.850997\pi$
$269$	1.55432	−	4.78372i	0.0947688	−	0.291668i	0.987193	+	0.159528i	$0.0509973\pi$
$270$	10.5441	−	4.41658i	0.641694	−	0.268784i
$271$	−6.69194	−	9.21066i	−0.406506	−	0.559508i	0.555856	−	0.831279i	$-0.312391\pi$
$271$	−6.69194	−	9.21066i	−0.406506	−	0.559508i	−0.962362	+	0.271771i	$0.912391\pi$
$272$	−2.12483	+	0.336541i	−0.128837	+	0.0204058i
$273$	−11.0389	+	20.3776i	−0.668108	+	1.23331i
$274$			6.23370i			0.376592i
$275$	8.19234	−	14.4182i	0.494016	−	0.869453i
$276$		−	1.74458i		−	0.105012i
$277$	−12.4757	+	24.4849i	−0.749592	+	1.47116i	0.128013	+	0.991772i	$0.459140\pi$
$277$	−12.4757	+	24.4849i	−0.749592	+	1.47116i	−0.877605	+	0.479384i	$0.840860\pi$
$278$	0.117884	+	0.744289i	0.00707020	+	0.0446395i
$279$	0.584363	−	0.424565i	0.0349849	−	0.0254180i
$280$	2.14729	+	5.51263i	0.128325	+	0.329443i
$281$	−8.33751	+	25.6602i	−0.497374	+	1.53076i	0.315850	+	0.948809i	$0.397710\pi$
$281$	−8.33751	+	25.6602i	−0.497374	+	1.53076i	−0.813224	+	0.581951i	$0.802290\pi$
$282$	−3.76544	−	0.596387i	−0.224228	−	0.0355143i
$283$	2.16946	+	13.6974i	0.128961	+	0.814227i	0.964362	+	0.264586i	$0.0852354\pi$
$283$	2.16946	+	13.6974i	0.128961	+	0.814227i	−0.835401	+	0.549641i	$0.814765\pi$
$284$	−5.99110	+	1.94663i	−0.355506	+	0.115511i
$285$	2.46188	−	32.9513i	0.145829	−	1.95187i
$286$	−12.8268	−	10.4090i	−0.758464	−	0.615494i
$287$	19.7124	+	20.7328i	1.16358	+	1.22382i
$288$	0.0829580	+	0.0422692i	0.00488835	+	0.00249074i
$289$	7.27197	−	10.0090i	0.427763	−	0.588766i
$290$	10.1061	−	6.24829i	0.593450	−	0.366912i
$291$	0.589188	−	1.81333i	0.0345388	−	0.106300i
$292$	0.0152214	+	0.0298737i	0.000890766	+	0.00174823i
$293$	−21.2785	−	3.37018i	−1.24310	−	0.196888i	−0.499976	−	0.866039i	$-0.666658\pi$
$293$	−21.2785	−	3.37018i	−1.24310	−	0.196888i	−0.743126	+	0.669151i	$0.766658\pi$
$294$	−9.58229	−	7.72929i	−0.558850	−	0.450782i
$295$	2.52213	−	4.15262i	0.146844	−	0.241775i
$296$	9.10988			0.529501
$297$	−11.3327	−	12.6125i	−0.657590	−	0.731851i
$298$	−14.6047	+	14.6047i	−0.846029	+	0.846029i
$299$	−1.52673	−	4.69878i	−0.0882928	−	0.271737i
$300$	0.0697448	+	8.79334i	0.00402672	+	0.507684i
$301$	4.15782	+	6.03729i	0.239653	+	0.347984i
$302$	3.59992	−	1.83425i	0.207152	−	0.105549i
$303$	8.37208	+	16.4311i	0.480963	+	0.943944i
$304$	−6.79762	+	4.93876i	−0.389870	+	0.283257i
$305$	17.8734	−	1.47801i	1.02343	−	0.0846306i
$306$	0.190497	−	0.0618963i	0.0108900	−	0.00353838i
$307$	13.4825	−	13.4825i	0.769484	−	0.769484i	−0.208531	−	0.978016i	$-0.566868\pi$
$307$	13.4825	−	13.4825i	0.769484	−	0.769484i	0.978016	+	0.208531i	$0.0668683\pi$
$308$	6.67299	−	5.69835i	0.380229	−	0.324694i
$309$			7.77694i			0.442415i
$310$	−4.11651	−	16.8518i	−0.233802	−	0.957119i
$311$	−10.7891	+	14.8499i	−0.611794	+	0.842063i	−0.996724	−	0.0808835i	$-0.974226\pi$
$311$	−10.7891	+	14.8499i	−0.611794	+	0.842063i	0.384929	+	0.922946i	$0.374226\pi$
$312$	8.65170	+	1.37029i	0.489806	+	0.0775776i
$313$	13.5577	−	6.90797i	0.766324	−	0.390462i	−0.0267065	−	0.999643i	$-0.508502\pi$
$313$	13.5577	−	6.90797i	0.766324	−	0.390462i	0.793031	+	0.609182i	$0.208502\pi$
$314$	7.24951	−	22.3117i	0.409114	−	1.25912i
$315$	−0.277756	−	0.475665i	−0.0156498	−	0.0268007i
$316$	8.46007	+	6.14660i	0.475916	+	0.345773i
$317$	−4.66500	+	9.15558i	−0.262012	+	0.514228i	−0.984109	−	0.177564i	$-0.943178\pi$
$317$	−4.66500	+	9.15558i	−0.262012	+	0.514228i	0.722097	+	0.691792i	$0.243178\pi$
$318$	8.64379	+	8.64379i	0.484720	+	0.484720i
$319$	−13.6844	−	11.1049i	−0.766181	−	0.621757i
$320$	1.69455	−	1.45894i	0.0947281	−	0.0815573i
$321$	−12.6009	+	4.09427i	−0.703312	+	0.228520i
$322$	2.60170	−	0.345051i	0.144987	−	0.0192289i
$323$	−2.82772	+	17.8535i	−0.157339	+	0.993398i
$324$	8.81691	+	2.86479i	0.489828	+	0.159155i
$325$	7.88310	+	23.6225i	0.437276	+	1.31034i
$326$	10.7170	−	7.78633i	0.593558	−	0.431245i
$327$	−26.8755	+	4.25666i	−1.48622	+	0.235394i
$328$	4.90894	−	9.63433i	0.271051	−	0.531967i
$329$	0.144649	−	5.73336i	0.00797473	−	0.316090i
$330$	12.2821	−	4.38986i	0.676107	−	0.241654i
$331$	−20.9088			−1.14925			−0.574625	−	0.818417i	$-0.694852\pi$
$331$	−20.9088			−1.14925			−0.574625	+	0.818417i	$0.694852\pi$
$332$	10.2121	+	5.20331i	0.560460	+	0.285569i
$333$	−0.837742	+	0.132685i	−0.0459080	+	0.00727111i
$334$	−3.30490	+	2.40115i	−0.180836	+	0.131385i
$335$	1.63455	+	0.669472i	0.0893052	+	0.0365772i
$336$	−1.54906	+	4.38773i	−0.0845080	+	0.239370i
$337$	17.1842	+	2.72171i	0.936084	+	0.148261i	0.605797	−	0.795619i	$-0.292854\pi$
$337$	17.1842	+	2.72171i	0.936084	+	0.148261i	0.330287	+	0.943881i	$0.392854\pi$
$338$	11.6613	−	1.84697i	0.634290	−	0.100462i
$339$	−2.68361	−	8.25931i	−0.145754	−	0.448584i
$340$	0.358406	−	4.79713i	0.0194373	−	0.260161i
$341$	−21.5937	+	13.9913i	−1.16936	+	0.757673i
$342$	0.553174	−	0.553174i	0.0299122	−	0.0299122i
$343$	9.63148	−	15.8188i	0.520051	−	0.854135i
$344$	1.62856	−	2.24152i	0.0878061	−	0.120855i
$345$	3.79681	+	0.895623i	0.204413	+	0.0482187i
$346$	18.2942	+	5.94414i	0.983501	+	0.319559i
$347$	−8.69932	+	4.43253i	−0.467004	+	0.237950i	−0.671626	−	0.740891i	$-0.734404\pi$
$347$	−8.69932	+	4.43253i	−0.467004	+	0.237950i	0.204622	+	0.978841i	$0.434404\pi$
$348$	9.23018	+	1.46192i	0.494789	+	0.0783669i
$349$	−19.5412	−	14.1975i	−1.04602	−	0.759976i	−0.0745658	−	0.997216i	$-0.523757\pi$
$349$	−19.5412	−	14.1975i	−1.04602	−	0.759976i	−0.971451	+	0.237240i	$0.923757\pi$
$350$	−13.0997	+	1.84319i	−0.700209	+	0.0985228i
$351$	25.4631			1.35912
$352$	−2.87056	−	1.66129i	−0.153001	−	0.0885469i
$353$	0.769424	+	0.769424i	0.0409523	+	0.0409523i	0.727286	−	0.686334i	$-0.240781\pi$
$353$	0.769424	+	0.769424i	0.0409523	+	0.0409523i	−0.686334	+	0.727286i	$0.740781\pi$
$354$	3.63433	−	1.18087i	0.193162	−	0.0627623i
$355$	−1.16085	−	14.0380i	−0.0616114	−	0.745060i
$356$	−3.06118	−	4.21336i	−0.162242	−	0.223307i
$357$	4.31822	+	9.03112i	0.228545	+	0.477977i
$358$	0.221671	+	0.435053i	0.0117157	+	0.0229933i
$359$	7.37721	+	10.1539i	0.389354	+	0.535900i	0.958032	−	0.286660i	$-0.0925450\pi$
$359$	7.37721	+	10.1539i	0.389354	+	0.535900i	−0.568678	+	0.822560i	$0.692545\pi$
$360$	−0.134581	+	0.158845i	−0.00709302	+	0.00837186i
$361$	15.9450	+	49.0736i	0.839210	+	2.58282i
$362$	10.8157	−	10.8157i	0.568460	−	0.568460i
$363$	−12.1436	−	15.0598i	−0.637375	−	0.790435i
$364$	−0.332353	+	13.1733i	−0.0174200	+	0.690469i
$365$	−0.0728296	+	0.0177906i	−0.00381207	+	0.000931202i
$366$	11.4119	+	8.29122i	0.596509	+	0.433389i
$367$	−1.46111	+	9.22511i	−0.0762696	+	0.481547i	0.919757	+	0.392489i	$0.128386\pi$
$367$	−1.46111	+	9.22511i	−0.0762696	+	0.481547i	−0.996026	+	0.0890584i	$0.971614\pi$
$368$	−0.450341	−	0.883844i	−0.0234756	−	0.0460735i
$369$	−0.311100	+	0.957468i	−0.0161952	+	0.0498438i
$370$	−4.67677	+	19.8262i	−0.243134	+	1.03071i
$371$	−11.1809	+	14.6001i	−0.580483	+	0.757999i
$372$	6.19429	−	12.1570i	0.321159	−	0.630310i
$373$	14.4659	−	14.4659i	0.749016	−	0.749016i	−0.225278	−	0.974294i	$-0.572329\pi$
$373$	14.4659	−	14.4659i	0.749016	−	0.749016i	0.974294	+	0.225278i	$0.0723291\pi$
$374$	−6.89391	+	1.83957i	−0.356475	+	0.0951216i
$375$	−19.1731	−	4.36247i	−0.990094	−	0.225277i
$376$	−2.06160	+	0.669854i	−0.106319	+	0.0345451i
$377$	26.1395	−	4.14008i	1.34625	−	0.213225i
$378$	−2.45224	+	13.3020i	−0.126129	+	0.684183i
$379$	18.1318	+	5.89139i	0.931370	+	0.302620i	0.735123	−	0.677934i	$-0.237125\pi$
$379$	18.1318	+	5.89139i	0.931370	+	0.302620i	0.196247	+	0.980555i	$0.437125\pi$
$380$	−7.25870	−	17.3294i	−0.372364	−	0.888977i
$381$	17.8413	+	24.5565i	0.914039	+	1.25807i
$382$	−1.07903	−	6.81275i	−0.0552082	−	0.348571i
$383$	15.1504	−	29.7343i	0.774148	−	1.51935i	−0.0785283	−	0.996912i	$-0.525022\pi$
$383$	15.1504	−	29.7343i	0.774148	−	1.51935i	0.852676	−	0.522439i	$-0.174978\pi$
$384$	1.75872			0.0897494
$385$	8.97580	+	17.4481i	0.457449	+	0.889236i
$386$	−9.09401			−0.462873
$387$	−0.117114	+	0.229849i	−0.00595325	+	0.0116839i
$388$	−0.169592	−	1.07076i	−0.00860975	−	0.0543598i
$389$	−9.94151	−	13.6833i	−0.504054	−	0.693771i	0.478848	−	0.877898i	$-0.341054\pi$
$389$	−9.94151	−	13.6833i	−0.504054	−	0.693771i	−0.982903	+	0.184126i	$0.941054\pi$
$390$	−7.42377	+	18.1255i	−0.375917	+	0.917823i
$391$	−2.02958	−	0.659450i	−0.102640	−	0.0333498i
$392$	−6.84980	−	1.44229i	−0.345967	−	0.0728465i
$393$	16.0475	−	2.54168i	0.809492	−	0.128211i
$394$	−1.53949	+	0.500211i	−0.0775584	+	0.0252003i
$395$	−17.7203	+	15.2565i	−0.891603	+	0.767637i
$396$	0.288173	+	0.110962i	0.0144812	+	0.00557604i
$397$	−16.0721	+	16.0721i	−0.806634	+	0.806634i	−0.984123	−	0.177489i	$-0.943203\pi$
$397$	−16.0721	+	16.0721i	−0.806634	+	0.806634i	0.177489	+	0.984123i	$0.443203\pi$
$398$	−4.43084	+	8.69601i	−0.222098	+	0.435891i
$399$	31.0407	+	23.7712i	1.55398	+	1.19005i
$400$	2.30522	+	4.43689i	0.115261	+	0.221844i
$401$	−3.90277	+	12.0115i	−0.194895	+	0.599825i	0.805083	+	0.593162i	$0.202121\pi$
$401$	−3.90277	+	12.0115i	−0.194895	+	0.599825i	−0.999978	+	0.00666252i	$0.997879\pi$
$402$	0.630715	+	1.23785i	0.0314572	+	0.0617383i
$403$	6.04455	−	38.1638i	0.301100	−	1.90107i
$404$	8.48295	+	6.16322i	0.422043	+	0.306632i
$405$	−10.7611	+	17.7179i	−0.534724	+	0.880408i
$406$	−0.354575	+	14.0541i	−0.0175973	+	0.697494i
$407$	30.0518	−	3.12710i	1.48961	−	0.155005i
$408$	2.67539	−	2.67539i	0.132452	−	0.132452i
$409$	−4.38734	−	13.5028i	−0.216940	−	0.667672i	−0.999010	−	0.0444820i	$-0.985836\pi$
$409$	−4.38734	−	13.5028i	−0.216940	−	0.667672i	0.782070	−	0.623190i	$-0.214164\pi$
$410$	18.4474	+	15.6295i	0.911054	+	0.771886i
$411$	−6.44410	−	8.86954i	−0.317864	−	0.437502i
$412$	2.00751	+	3.93996i	0.0989030	+	0.194108i
$413$	2.47984	+	5.18632i	0.122025	+	0.255202i
$414$	0.0542864	+	0.0747188i	0.00266803	+	0.00367223i
$415$	−16.5668	+	19.5537i	−0.813230	+	0.959852i
$416$	4.73686	−	1.53910i	0.232244	−	0.0754605i
$417$	−0.937139	−	0.937139i	−0.0458919	−	0.0458919i
$418$	−20.7288	+	18.6254i	−1.01388	+	0.911000i
$419$	20.1673			0.985235			0.492618	−	0.870246i	$-0.336040\pi$
$419$	20.1673			0.985235			0.492618	+	0.870246i	$0.336040\pi$
$420$	−8.75394	−	5.62381i	−0.427148	−	0.274414i
$421$	−19.3015	−	14.0234i	−0.940699	−	0.683458i	0.00788990	−	0.999969i	$-0.497489\pi$
$421$	−19.3015	−	14.0234i	−0.940699	−	0.683458i	−0.948589	+	0.316511i	$0.897489\pi$
$422$	2.16259	+	0.342521i	0.105273	+	0.0166737i
$423$	0.179828	−	0.0916268i	0.00874352	−	0.00445505i
$424$	6.61041	+	2.14785i	0.321030	+	0.104309i
$425$	10.2562	+	3.24273i	0.497498	+	0.157295i
$426$	6.51203	−	8.96304i	0.315509	−	0.434261i
$427$	−10.1076	+	18.6584i	−0.489142	+	0.902945i
$428$	−5.32699	+	5.32699i	−0.257490	+	0.257490i
$429$	29.0107	+	1.55052i	1.40065	+	0.0748599i
$430$	4.04225	+	4.69503i	0.194935	+	0.226415i
$431$	−7.24649	−	22.3024i	−0.349051	−	1.07427i	−0.959379	−	0.282120i	$-0.908962\pi$
$431$	−7.24649	−	22.3024i	−0.349051	−	1.07427i	0.610328	−	0.792149i	$-0.291038\pi$
$432$	5.04948	−	0.799759i	0.242943	−	0.0384784i
$433$	17.2571	+	2.73325i	0.829322	+	0.131352i	0.556641	−	0.830753i	$-0.312090\pi$
$433$	17.2571	+	2.73325i	0.829322	+	0.131352i	0.272681	+	0.962105i	$0.412090\pi$
$434$	19.3549	+	6.83310i	0.929063	+	0.327999i
$435$	−7.92015	+	19.3375i	−0.379742	+	0.927161i
$436$	−12.5169	+	9.09407i	−0.599451	+	0.435527i
$437$	−8.23216	+	1.30385i	−0.393798	+	0.0623714i
$438$	−0.0525396	−	0.0267702i	−0.00251044	−	0.00127913i
$439$	1.01542			0.0484636			0.0242318	−	0.999706i	$-0.492286\pi$
$439$	1.01542			0.0484636			0.0242318	+	0.999706i	$0.492286\pi$
$440$	5.08919	−	5.39445i	0.242618	−	0.257170i
$441$	0.650913	+	0.0328650i	0.0309958	+	0.00156500i
$442$	4.86447	−	9.54707i	0.231379	−	0.454108i
$443$	−22.7315	+	3.60031i	−1.08001	+	0.171056i	−0.670986	−	0.741470i	$-0.734129\pi$
$443$	−22.7315	+	3.60031i	−1.08001	+	0.171056i	−0.409019	+	0.912526i	$0.634129\pi$
$444$	−12.9619	+	9.41735i	−0.615143	+	0.446928i
$445$	10.7412	−	4.49914i	0.509182	−	0.213280i
$446$	6.26110	+	2.03435i	0.296471	+	0.0963294i
$447$	5.68248	−	35.8778i	0.268772	−	1.69696i
$448$	0.347847	+	2.62279i	0.0164342	+	0.123915i
$449$	34.6662	−	11.2637i	1.63600	−	0.531568i	0.660358	−	0.750951i	$-0.270404\pi$
$449$	34.6662	−	11.2637i	1.63600	−	0.531568i	0.975639	+	0.219383i	$0.0704043\pi$
$450$	−0.276610	−	0.374439i	−0.0130395	−	0.0176512i
$451$	12.8865	−	33.4669i	0.606803	−	1.57590i
$452$	−3.49160	−	3.49160i	−0.164231	−	0.164231i
$453$	−3.22594	+	6.33126i	−0.151568	+	0.297468i
$454$	−19.9682	−	14.5078i	−0.937156	−	0.680884i
$455$	−28.4990	−	7.48613i	−1.33605	−	0.350955i
$456$	4.56646	−	14.0541i	0.213844	−	0.658144i
$457$	−13.4019	+	6.82862i	−0.626916	+	0.319430i	−0.738427	−	0.674334i	$-0.764431\pi$
$457$	−13.4019	+	6.82862i	−0.626916	+	0.319430i	0.111511	+	0.993763i	$0.464431\pi$
$458$	−8.23943	−	1.30500i	−0.385003	−	0.0609786i
$459$	6.46473	−	8.89794i	0.301748	−	0.415320i
$460$	2.15474	−	0.526352i	0.100465	−	0.0245413i
$461$			16.1318i			0.751332i	0.926755	+	0.375666i	$0.122586\pi$
$461$			16.1318i			0.751332i	−0.926755	+	0.375666i	$0.877414\pi$
$462$	−3.60390	+	15.0060i	−0.167669	+	0.698144i
$463$	24.3880	−	24.3880i	1.13340	−	1.13340i	0.143798	−	0.989607i	$-0.454069\pi$
$463$	24.3880	−	24.3880i	1.13340	−	1.13340i	0.989607	−	0.143798i	$-0.0459315\pi$
$464$	5.05358	−	1.64201i	0.234607	−	0.0762283i
$465$	23.2777	+	19.7219i	1.07948	+	0.914583i
$466$	13.2990	−	9.66226i	0.616062	−	0.447595i
$467$	0.0342709	+	0.0672604i	0.00158587	+	0.00311244i	0.891798	−	0.452434i	$-0.149444\pi$
$467$	0.0342709	+	0.0672604i	0.00158587	+	0.00311244i	−0.890212	+	0.455546i	$0.849444\pi$
$468$	−0.413183	+	0.210527i	−0.0190994	+	0.00973162i
$469$	−1.72126	+	1.18541i	−0.0794804	+	0.0547373i
$470$	−0.399460	−	4.83062i	−0.0184257	−	0.222820i
$471$	12.7499	+	39.2401i	0.587484	+	1.80809i
$472$	1.53640	−	1.53640i	0.0707188	−	0.0707188i
$473$	4.60288	−	7.95339i	0.211641	−	0.365697i
$474$	−18.3914			−0.844743
$475$	41.4410	−	6.90096i	1.90144	−	0.316638i
$476$	4.51897	+	3.46067i	0.207126	+	0.158619i
$477$	−0.639174	−	0.101235i	−0.0292658	−	0.00463524i
$478$	−11.9019	−	23.3589i	−0.544382	−	1.06841i
$479$	12.5566	−	38.6452i	0.573726	−	1.76575i	−0.0667519	−	0.997770i	$-0.521264\pi$
$479$	12.5566	−	38.6452i	0.573726	−	1.76575i	0.640478	−	0.767977i	$-0.278736\pi$
$480$	−0.902881	+	3.82758i	−0.0412107	+	0.174704i
$481$	−26.6695	+	36.7075i	−1.21603	+	1.67372i
$482$	13.3221	+	6.78794i	0.606804	+	0.309182i
$483$	−3.34510	+	3.18046i	−0.152207	+	0.144716i
$484$	−10.0397	−	4.49491i	−0.456350	−	0.204314i
$485$	2.41741	+	0.180611i	0.109769	+	0.00820113i
$486$	−0.919900	+	0.298893i	−0.0417275	+	0.0135581i
$487$	3.01282	+	19.0222i	0.136524	+	0.861978i	0.956956	+	0.290234i	$0.0937331\pi$
$487$	3.01282	+	19.0222i	0.136524	+	0.861978i	−0.820432	+	0.571744i	$0.806267\pi$
$488$	7.92177	+	1.25469i	0.358602	+	0.0567969i
$489$	−7.19936	+	22.1573i	−0.325566	+	1.00199i
$490$	6.65541	−	14.1671i	0.300661	−	0.640002i
$491$	14.7073	−	10.6855i	0.663732	−	0.482229i	−0.204190	−	0.978931i	$-0.565456\pi$
$491$	14.7073	−	10.6855i	0.663732	−	0.482229i	0.867921	+	0.496702i	$0.165456\pi$
$492$	2.97489	+	18.7827i	0.134118	+	0.846789i
$493$	5.18973	−	10.1854i	0.233734	−	0.458728i
$494$		−	41.8488i		−	1.88287i
$495$	−0.389430	+	0.570196i	−0.0175036	+	0.0256284i
$496$		−	7.75796i		−	0.348343i
$497$	14.6546	+	7.93865i	0.657347	+	0.356097i
$498$	−19.9090	+	3.15328i	−0.892145	+	0.141302i
$499$	−12.8045	−	17.6238i	−0.573206	−	0.788950i	0.419724	−	0.907652i	$-0.362127\pi$
$499$	−12.8045	−	17.6238i	−0.573206	−	0.788950i	−0.992930	+	0.118701i	$0.962127\pi$
$500$	−10.8396	+	2.73915i	−0.484762	+	0.122498i
$501$	2.22014	−	6.83289i	0.0991886	−	0.305271i
$502$	−0.759898	+	4.79781i	−0.0339159	+	0.214137i
$503$	−1.05459	−	6.65842i	−0.0470218	−	0.296884i	0.952959	−	0.303100i	$-0.0980215\pi$
$503$	−1.05459	−	6.65842i	−0.0470218	−	0.296884i	−0.999981	+	0.00621555i	$0.998022\pi$
$504$	−0.0701887	−	0.236124i	−0.00312646	−	0.0105178i
$505$	−17.7682	+	15.2977i	−0.790673	+	0.680740i
$506$	−1.78898	−	2.76105i	−0.0795300	−	0.122744i
$507$	−14.6828	+	14.6828i	−0.652086	+	0.652086i
$508$	15.3777	+	7.83534i	0.682276	+	0.347637i
$509$	−0.599341	−	0.435447i	−0.0265653	−	0.0193008i	0.574423	−	0.818558i	$-0.305226\pi$
$509$	−0.599341	−	0.435447i	−0.0265653	−	0.0193008i	−0.600989	+	0.799258i	$0.705226\pi$
$510$	4.44908	+	7.19603i	0.197009	+	0.318646i
$511$	0.0295310	−	0.0836471i	0.00130638	−	0.00370033i
$512$	0.891007	−	0.453990i	0.0393773	−	0.0200637i
$513$	6.71983	−	42.4274i	0.296688	−	1.87321i
$514$	5.07851	+	3.68975i	0.224003	+	0.162748i
$515$	−9.60530	+	2.34635i	−0.423260	+	0.103393i
$516$			4.87284i			0.214515i
$517$	−6.57090	+	2.91740i	−0.288988	+	0.128307i
$518$	−16.6078	−	17.4675i	−0.729703	−	0.767476i
$519$	−32.1744	+	10.4541i	−1.41230	+	0.458884i
$520$	0.917823	+	11.0991i	0.0402492	+	0.486729i
$521$	11.1859	+	15.3961i	0.490065	+	0.674517i	0.980400	−	0.197017i	$-0.0631256\pi$
$521$	11.1859	+	15.3961i	0.490065	+	0.674517i	−0.490335	+	0.871534i	$0.663126\pi$
$522$	−0.440810	+	0.224604i	−0.0192937	+	0.00983064i
$523$	−22.7973	+	11.6158i	−0.996857	+	0.507924i	−0.874741	−	0.484592i	$-0.838968\pi$
$523$	−22.7973	+	11.6158i	−0.996857	+	0.507924i	−0.122117	+	0.992516i	$0.538968\pi$
$524$	7.47393	−	5.43013i	0.326500	−	0.237216i
$525$	16.7334	−	16.1644i	0.730304	−	0.705473i
$526$	2.83215	+	8.71647i	0.123488	+	0.380056i
$527$	−11.8015	−	11.8015i	−0.514082	−	0.514082i
$528$	5.80170	−	0.603707i	0.252487	−	0.0262730i
$529$			22.0160i			0.957218i
$530$	−8.06806	+	13.2838i	−0.350454	+	0.577013i
$531$	−0.118910	+	0.163665i	−0.00516024	+	0.00710245i
$532$	21.8621	+	4.03028i	0.947841	+	0.174735i
$533$	24.4496	+	47.9850i	1.05903	+	2.07846i
$534$	8.71112	+	2.83042i	0.376967	+	0.122484i
$535$	−8.85860	−	14.3281i	−0.382991	−	0.619457i
$536$	0.639068	+	0.464310i	0.0276035	+	0.0200551i
$537$	−0.765137	−	0.389857i	−0.0330181	−	0.0168236i
$538$	3.55668	+	3.55668i	0.153339	+	0.153339i
$539$	−23.0913	−	2.40654i	−0.994613	−	0.103657i
$540$	−0.851721	+	11.3999i	−0.0366522	+	0.490576i
$541$	5.19104	+	15.9764i	0.223180	+	0.686878i	0.998471	+	0.0552737i	$0.0176031\pi$
$541$	5.19104	+	15.9764i	0.223180	+	0.686878i	−0.775291	+	0.631604i	$0.782397\pi$
$542$	11.2448	−	1.78101i	0.483007	−	0.0765008i
$543$	−4.20822	+	26.5697i	−0.180592	+	1.14021i
$544$	0.664794	−	2.04603i	0.0285028	−	0.0877227i
$545$	−13.3659	−	31.9097i	−0.572533	−	1.36686i
$546$	−13.1450	−	19.0870i	−0.562556	−	0.816850i
$547$	−4.63043	−	29.2354i	−0.197983	−	1.25001i	−0.863775	−	0.503878i	$-0.831906\pi$
$547$	−4.63043	−	29.2354i	−0.197983	−	1.25001i	0.665792	−	0.746137i	$-0.268094\pi$
$548$	−5.55427	−	2.83004i	−0.237267	−	0.120893i
$549$	−0.746758			−0.0318709
$550$	9.12750	+	13.8452i	0.389198	+	0.590360i
$551$		−	44.6470i		−	1.90203i
$552$	1.55444	+	0.792025i	0.0661612	+	0.0337108i
$553$	−3.63752	−	27.4270i	−0.154683	−	1.16632i
$554$	−16.1524	−	22.2318i	−0.686249	−	0.944541i
$555$	−13.8411	−	33.0440i	−0.587521	−	1.40264i
$556$	−0.716684	−	0.232865i	−0.0303942	−	0.00987567i
$557$	37.6988	+	5.97090i	1.59735	+	0.252995i	0.890708	−	0.454577i	$-0.150209\pi$
$557$	37.6988	+	5.97090i	1.59735	+	0.252995i	0.706641	+	0.707572i	$0.250209\pi$
$558$	0.112995	+	0.713419i	0.00478344	+	0.0302015i
$559$	4.26434	+	13.1243i	0.180362	+	0.555098i
$560$	−5.88664	−	0.589434i	−0.248756	−	0.0249081i
$561$	7.90725	−	9.74399i	0.333844	−	0.411391i
$562$	−19.0783	−	19.0783i	−0.804768	−	0.804768i
$563$	6.45077	−	12.6603i	0.271867	−	0.533570i	−0.714195	−	0.699947i	$-0.753207\pi$
$563$	6.45077	−	12.6603i	0.271867	−	0.533570i	0.986062	+	0.166377i	$0.0532069\pi$
$564$	2.24086	−	3.08427i	0.0943571	−	0.129871i
$565$	9.39141	−	5.80642i	0.395099	−	0.244278i
$566$	−13.1894	−	4.28550i	−0.554392	−	0.180133i
$567$	−10.5807	−	22.1284i	−0.444346	−	0.929304i
$568$	0.985445	−	6.22186i	0.0413484	−	0.261063i
$569$	−22.7136	+	31.2626i	−0.952203	+	1.31059i	−0.00166107	+	0.999999i	$0.500529\pi$
$569$	−22.7136	+	31.2626i	−0.952203	+	1.31059i	−0.950542	+	0.310596i	$0.899471\pi$
$570$	28.2422	+	17.1532i	1.18294	+	0.718467i
$571$	−22.4947			−0.941372			−0.470686	−	0.882301i	$-0.655994\pi$
$571$	−22.4947			−0.941372			−0.470686	+	0.882301i	$0.655994\pi$
$572$	15.0977	−	6.70319i	0.631266	−	0.280275i
$573$	8.57798	+	8.57798i	0.358350	+	0.358350i
$574$	−27.4223	+	8.15137i	−1.14458	+	0.340232i
$575$	0.0393377	+	4.95965i	0.00164050	+	0.206832i
$576$	−0.0753243	+	0.0547263i	−0.00313851	+	0.00228026i
$577$	−20.6462	−	40.5204i	−0.859512	−	1.68689i	−0.716975	−	0.697099i	$-0.754474\pi$
$577$	−20.6462	−	40.5204i	−0.859512	−	1.68689i	−0.142537	−	0.989789i	$-0.545526\pi$
$578$	5.61669	+	11.0234i	0.233623	+	0.458512i
$579$	12.9393	−	9.40095i	0.537739	−	0.390690i
$580$	0.979192	+	11.8413i	0.0406587	+	0.491682i
$581$	−8.64018	−	29.0667i	−0.358455	−	1.20589i
$582$	1.34821	+	1.34821i	0.0558850	+	0.0558850i
$583$	22.5438	+	4.81624i	0.933668	+	0.199468i
$584$	−0.0335280			−0.00138740
$585$	−0.246061	−	1.00730i	−0.0101734	−	0.0416469i
$586$	12.6631	−	17.4292i	0.523107	−	0.719995i
$587$	0.553834	−	3.49677i	0.0228592	−	0.144327i	−0.973619	−	0.228180i	$-0.926723\pi$
$587$	0.553834	−	3.49677i	0.0228592	−	0.144327i	0.996478	+	0.0838528i	$0.0267226\pi$
$588$	11.2371	−	5.02885i	0.463411	−	0.207386i
$589$	−61.9945	−	20.1432i	−2.55444	−	0.829988i
$590$	2.55499	+	4.13248i	0.105187	+	0.170132i
$591$	1.67335	−	2.30317i	0.0688324	−	0.0947397i
$592$	−4.13580	+	8.11697i	−0.169980	+	0.333605i
$593$	−14.6044	−	14.6044i	−0.599733	−	0.599733i	0.340509	−	0.940241i	$-0.389401\pi$
$593$	−14.6044	−	14.6044i	−0.599733	−	0.599733i	−0.940241	+	0.340509i	$0.889401\pi$
$594$	16.3828	−	4.37156i	0.672193	−	0.179367i
$595$	−9.85149	+	8.05818i	−0.403872	+	0.330353i
$596$	−6.38250	−	19.6433i	−0.261437	−	0.804621i
$597$	−2.68515	−	16.9534i	−0.109896	−	0.693856i
$598$	4.87976	+	0.772878i	0.199548	+	0.0316053i
$599$	−1.16297	−	0.377872i	−0.0475177	−	0.0154394i	0.285162	−	0.958479i	$-0.407953\pi$
$599$	−1.16297	−	0.377872i	−0.0475177	−	0.0154394i	−0.332679	+	0.943040i	$0.607953\pi$
$600$	−7.86658	−	3.92995i	−0.321152	−	0.160439i
$601$	14.0525	+	19.3416i	0.573214	+	0.788962i	0.992931	−	0.118693i	$-0.0378706\pi$
$601$	14.0525	+	19.3416i	0.573214	+	0.788962i	−0.419717	+	0.907655i	$0.637871\pi$
$602$	−7.26688	+	0.963771i	−0.296176	+	0.0392804i
$603$	−0.0655311	−	0.0333898i	−0.00266863	−	0.00135974i
$604$			4.04028i			0.164397i
$605$	14.9366	−	19.5422i	0.607258	−	0.794505i
$606$	−18.4411			−0.749118
$607$	14.2305	+	7.25080i	0.577598	+	0.294301i	0.718280	−	0.695754i	$-0.244930\pi$
$607$	14.2305	+	7.25080i	0.577598	+	0.294301i	−0.140682	+	0.990055i	$0.544930\pi$
$608$	−1.31441	−	8.29888i	−0.0533065	−	0.336564i
$609$	−14.0240	−	20.3633i	−0.568280	−	0.825161i
$610$	−6.79744	+	16.5963i	−0.275220	+	0.671966i
$611$	3.33629	−	10.2681i	0.134972	−	0.415401i
$612$	−0.0313339	+	0.197835i	−0.00126660	+	0.00799699i
$613$	−2.12956	+	0.337289i	−0.0860122	+	0.0136230i	−0.199292	−	0.979940i	$-0.563864\pi$
$613$	−2.12956	+	0.337289i	−0.0860122	+	0.0136230i	0.113280	+	0.993563i	$0.463864\pi$
$614$	5.89205	+	18.1339i	0.237784	+	0.731823i
$615$	−42.4047	−	3.16817i	−1.70992	−	0.127753i
$616$	2.04779	+	8.53268i	0.0825079	+	0.343791i
$617$	−16.5962	−	16.5962i	−0.668139	−	0.668139i	0.289146	−	0.957285i	$-0.406629\pi$
$617$	−16.5962	−	16.5962i	−0.668139	−	0.668139i	−0.957285	+	0.289146i	$0.906629\pi$
$618$	−6.92931	−	3.53066i	−0.278738	−	0.142024i
$619$	−17.0755	−	12.4061i	−0.686322	−	0.498642i	0.189127	−	0.981953i	$-0.439434\pi$
$619$	−17.0755	−	12.4061i	−0.686322	−	0.498642i	−0.875449	+	0.483311i	$0.839434\pi$
$620$	16.8839	+	3.98273i	0.678076	+	0.159950i
$621$	4.82311	+	1.56712i	0.193545	+	0.0628865i
$622$	−8.33324	−	16.3549i	−0.334132	−	0.655772i
$623$	−2.49808	+	13.5507i	−0.100083	+	0.542898i
$624$	−5.14873	+	7.08662i	−0.206114	+	0.283692i
$625$	−0.396552	−	24.9969i	−0.0158621	−	0.999874i
$626$			15.2161i			0.608158i
$627$	10.2396	−	47.9294i	0.408931	−	1.91411i
$628$	16.5887	+	16.5887i	0.661960	+	0.661960i
$629$	6.05620	+	18.6391i	0.241477	+	0.743188i
$630$	0.549919	−	0.0315347i	0.0219093	−	0.00125637i
$631$	15.7950	−	11.4757i	0.628788	−	0.456841i	−0.227192	−	0.973850i	$-0.572954\pi$
$631$	15.7950	−	11.4757i	0.628788	−	0.456841i	0.855980	+	0.517009i	$0.172954\pi$
$632$	−9.31745	+	4.74748i	−0.370628	+	0.188845i
$633$	−3.43110	+	1.74823i	−0.136374	+	0.0694860i
$634$	−6.03981	−	8.31309i	−0.239872	−	0.330155i
$635$	−24.9469	+	29.4447i	−0.989986	+	1.16848i
$636$	−11.6259	+	3.77748i	−0.460996	+	0.149787i
$637$	25.8646	−	23.3783i	1.02479	−	0.926283i
$638$	16.1072	−	7.15139i	0.637689	−	0.283126i
$639$			0.586513i			0.0232021i
$640$	0.530618	+	2.17220i	0.0209745	+	0.0858637i
$641$	−35.5465	−	25.8260i	−1.40400	−	1.02007i	−0.994161	−	0.107911i	$-0.965584\pi$
$641$	−35.5465	−	25.8260i	−1.40400	−	1.02007i	−0.409842	−	0.912157i	$-0.634416\pi$
$642$	2.07265	−	13.0862i	0.0818012	−	0.516472i
$643$	−6.49053	+	3.30709i	−0.255962	+	0.130419i	−0.577264	−	0.816558i	$-0.695880\pi$
$643$	−6.49053	+	3.30709i	−0.255962	+	0.130419i	0.321302	+	0.946977i	$0.395880\pi$
$644$	−0.873705	+	2.47478i	−0.0344288	+	0.0975201i
$645$	−10.6050	−	2.50159i	−0.417570	−	0.0984999i
$646$	−14.6239	−	10.6249i	−0.575368	−	0.418030i
$647$	22.1855	+	11.3041i	0.872200	+	0.444408i	0.831995	−	0.554783i	$-0.187199\pi$
$647$	22.1855	+	11.3041i	0.872200	+	0.444408i	0.0402052	+	0.999191i	$0.487199\pi$
$648$	−6.55534	+	6.55534i	−0.257518	+	0.257518i
$649$	4.54092	−	5.59571i	0.178247	−	0.219651i
$650$	−24.6267	−	3.70050i	−0.965937	−	0.145146i
$651$	−34.6025	+	10.2857i	−1.35618	+	0.403129i
$652$	2.07227	+	13.0838i	0.0811564	+	0.512401i
$653$	−1.52951	+	9.65694i	−0.0598543	+	0.377905i	0.939519	+	0.342498i	$0.111273\pi$
$653$	−1.52951	+	9.65694i	−0.0598543	+	0.377905i	−0.999373	+	0.0354074i	$0.988727\pi$
$654$	8.40852	−	25.8788i	0.328799	−	1.01194i
$655$	7.98088	+	19.0535i	0.311839	+	0.744481i
$656$	6.35564	+	8.74779i	0.248146	+	0.341544i
$657$	0.00308323		0.000488335i	0.000120288		1.90518e-5i
$658$	5.04279	+	2.73177i	0.196588	+	0.106496i
$659$			31.0207i			1.20839i	0.796835	+	0.604197i	$0.206506\pi$
$659$			31.0207i			1.20839i	−0.796835	+	0.604197i	$0.793494\pi$
$660$	−1.66456	+	12.9364i	−0.0647931	+	0.503548i
$661$		−	3.90757i		−	0.151987i	−0.997108	−	0.0759935i	$-0.975787\pi$
$661$		−	3.90757i		−	0.151987i	0.997108	−	0.0759935i	$-0.0242128\pi$
$662$	9.49239	−	18.6299i	0.368932	−	0.724070i
$663$	2.94794	+	18.6126i	0.114489	+	0.722852i
$664$	−9.27236	+	6.73677i	−0.359838	+	0.261437i
$665$	−19.9947	+	45.5102i	−0.775360	+	1.76481i
$666$	0.262103	−	0.806671i	0.0101563	−	0.0312579i
$667$	5.20604	+	0.824555i	0.201579	+	0.0319269i
$668$	−0.639047	−	4.03479i	−0.0247255	−	0.156111i
$669$	−11.0115	+	3.57786i	−0.425730	+	0.138328i
$670$	−1.33858	+	1.15246i	−0.0517137	+	0.0445235i
$671$	26.5631	+	1.41971i	1.02546	+	0.0548072i
$672$	−3.20624	−	3.37221i	−0.123683	−	0.130086i
$673$	−3.96585	−	2.02070i	−0.152872	−	0.0778922i	0.375881	−	0.926668i	$-0.377340\pi$
$673$	−3.96585	−	2.02070i	−0.152872	−	0.0778922i	−0.528753	+	0.848776i	$0.677340\pi$
$674$	−10.2265	+	14.0756i	−0.393911	+	0.542172i
$675$	−24.3729	−	7.70606i	−0.938113	−	0.296606i
$676$	−3.64845	+	11.2288i	−0.140325	+	0.431876i
$677$	−20.7876	−	40.7979i	−0.798931	−	1.56799i	−0.822838	−	0.568277i	$-0.807610\pi$
$677$	−20.7876	−	40.7979i	−0.798931	−	1.56799i	0.0239063	−	0.999714i	$-0.492390\pi$
$678$	8.57743	+	1.35853i	0.329414	+	0.0521741i
$679$	−1.74393	+	2.27724i	−0.0669258	+	0.0873923i
$680$	4.11156	+	2.49719i	0.157671	+	0.0957630i
$681$	43.4090			1.66344
$682$	−2.66303	−	25.5921i	−0.101973	−	0.979971i
$683$	3.45143	−	3.45143i	0.132065	−	0.132065i	−0.637984	−	0.770050i	$-0.720231\pi$
$683$	3.45143	−	3.45143i	0.132065	−	0.132065i	0.770050	+	0.637984i	$0.220231\pi$
$684$	0.241746	+	0.744018i	0.00924339	+	0.0284482i
$685$	9.01054	−	10.6351i	0.344275	−	0.406346i
$686$	9.72206	+	15.7633i	0.371190	+	0.601846i
$687$	13.0724	−	6.66073i	0.498744	−	0.254123i
$688$	1.25786	+	2.46869i	0.0479554	+	0.0941178i
$689$	−28.0068	+	20.3481i	−1.06697	+	0.775202i
$690$	−2.52172	+	2.97637i	−0.0960002	+	0.113309i
$691$	−2.70080	+	0.877542i	−0.102743	+	0.0333833i	−0.359937	−	0.932976i	$-0.617202\pi$
$691$	−2.70080	+	0.877542i	−0.102743	+	0.0333833i	0.257194	+	0.966360i	$0.417202\pi$
$692$	−13.6016	+	13.6016i	−0.517057	+	0.517057i
$693$	−0.312593	−	0.754836i	−0.0118744	−	0.0286738i
$694$		−	9.76348i		−	0.370617i
$695$	0.874719	−	1.44020i	0.0331800	−	0.0546299i
$696$	−5.49299	+	7.56045i	−0.208211	+	0.286578i
$697$	22.9755	+	3.63897i	0.870260	+	0.137836i
$698$	21.5216	−	10.9658i	0.814605	−	0.415062i
$699$	−8.93387	+	27.4956i	−0.337910	+	1.03998i
$700$	4.30485	−	12.5087i	0.162708	−	0.472785i
$701$	−9.04898	−	6.57447i	−0.341775	−	0.248314i	0.403635	−	0.914920i	$-0.367747\pi$
$701$	−9.04898	−	6.57447i	−0.341775	−	0.248314i	−0.745411	+	0.666606i	$0.767747\pi$
$702$	−11.5600	+	22.6878i	−0.436304	+	0.856294i
$703$	54.1249	+	54.1249i	2.04136	+	2.04136i
$704$	2.78343	−	1.80348i	0.104904	−	0.0679712i
$705$	5.56203	+	6.46025i	0.209478	+	0.243307i
$706$	−1.03487	+	0.336250i	−0.0389479	+	0.0126550i
$707$	−3.64735	−	27.5012i	−0.137173	−	1.03429i
$708$	−0.597792	+	3.77431i	−0.0224664	+	0.141847i
$709$	11.4567	+	3.72250i	0.430265	+	0.139802i	0.516140	−	0.856504i	$-0.327368\pi$
$709$	11.4567	+	3.72250i	0.430265	+	0.139802i	−0.0858747	+	0.996306i	$0.527368\pi$
$710$	13.0350	+	5.33880i	0.489194	+	0.200361i
$711$	0.787683	−	0.572285i	0.0295404	−	0.0214624i
$712$	5.14387	−	0.814710i	0.192775	−	0.0305325i
$713$	3.49373	−	6.85682i	0.130841	−	0.256790i
$714$	−10.0072	−	0.252475i	−0.374511	−	0.00944864i
$715$	6.83767	+	36.2989i	0.255714	+	1.35750i
$716$	−0.488271			−0.0182476
$717$	41.0818	+	20.9322i	1.53423	+	0.781728i
$718$	−12.3963	+	1.96339i	−0.462627	+	0.0732729i
$719$	−26.8779	+	19.5280i	−1.00238	+	0.728270i	−0.962597	−	0.270938i	$-0.912666\pi$
$719$	−26.8779	+	19.5280i	−1.00238	+	0.728270i	−0.0397809	+	0.999208i	$0.512666\pi$
$720$	−0.0804335	−	0.192026i	−0.00299758	−	0.00715639i
$721$	3.89477	−	11.0320i	0.145049	−	0.410853i
$722$	−50.9638	−	8.07187i	−1.89668	−	0.300404i
$723$	−25.9722	+	4.11359i	−0.965916	+	0.152986i
$724$	4.72663	+	14.5471i	0.175664	+	0.540637i
$725$	−26.2733	−	3.94793i	−0.975765	−	0.146622i
$726$	18.9315	−	3.98304i	0.702613	−	0.147824i
$727$	−28.9384	+	28.9384i	−1.07327	+	1.07327i	−0.0761715	+	0.997095i	$0.524270\pi$
$727$	−28.9384	+	28.9384i	−1.07327	+	1.07327i	−0.997095	+	0.0761715i	$0.975730\pi$
$728$	−11.5866	−	6.27669i	−0.429429	−	0.232629i
$729$	−15.3476	+	21.1241i	−0.568428	+	0.782375i
$730$	0.0172124	−	0.0729684i	0.000637059	−	0.00270068i
$731$	5.66887	+	1.84193i	0.209671	+	0.0681261i
$732$	−12.5684	+	6.40393i	−0.464542	+	0.236696i
$733$	11.0648	+	1.75249i	0.408687	+	0.0647297i	0.357394	−	0.933954i	$-0.383665\pi$
$733$	11.0648	+	1.75249i	0.408687	+	0.0647297i	0.0512938	+	0.998684i	$0.483665\pi$
$734$	−7.55630	−	5.48998i	−0.278908	−	0.202639i
$735$	5.17565	+	27.0374i	0.190907	+	0.997291i
$736$	0.991961			0.0365642
$737$	2.26755	+	1.31230i	0.0835261	+	0.0483393i
$738$	−0.711874	−	0.711874i	−0.0262044	−	0.0262044i
$739$	3.95484	−	1.28501i	0.145481	−	0.0472697i	−0.235371	−	0.971906i	$-0.575631\pi$
$739$	3.95484	−	1.28501i	0.145481	−	0.0472697i	0.380852	+	0.924636i	$0.375631\pi$
$740$	−15.5421	−	13.1679i	−0.571337	−	0.484063i
$741$	43.2613	+	59.5441i	1.58924	+	2.18741i
$742$	−7.93277	−	16.5906i	−0.291221	−	0.609058i
$743$	−14.5718	−	28.5988i	−0.534589	−	1.04919i	−0.987498	−	0.157633i	$-0.949614\pi$
$743$	−14.5718	−	28.5988i	−0.534589	−	1.04919i	0.452909	−	0.891557i	$-0.350386\pi$
$744$	8.01980	+	11.0383i	0.294020	+	0.404684i
$745$	46.0271	−	3.80613i	1.68630	−	0.139446i
$746$	6.32183	+	19.4566i	0.231459	+	0.712357i
$747$	0.754563	−	0.754563i	0.0276080	−	0.0276080i
$748$	1.49070	−	6.97766i	0.0545055	−	0.255129i
$749$	19.9254	+	0.502705i	0.728060	+	0.0183684i
$750$	12.5914	−	15.1028i	0.459773	−	0.551477i
$751$	−20.9585	−	15.2272i	−0.764787	−	0.555650i	0.135588	−	0.990765i	$-0.456708\pi$
$751$	−20.9585	−	15.2272i	−0.764787	−	0.555650i	−0.900375	+	0.435115i	$0.856708\pi$
$752$	0.339102	−	2.14101i	0.0123658	−	0.0780745i
$753$	−3.87853	−	7.61205i	−0.141342	−	0.277398i
$754$	−8.17823	+	25.1700i	−0.297833	+	0.916637i
$755$	−8.79302	−	2.07417i	−0.320011	−	0.0754869i
$756$	−10.7389	−	8.22396i	−0.390571	−	0.299103i
$757$	17.6572	−	34.6541i	0.641760	−	1.25953i	−0.309430	−	0.950922i	$-0.600138\pi$
$757$	17.6572	−	34.6541i	0.641760	−	1.25953i	0.951191	−	0.308604i	$-0.0998617\pi$
$758$	−13.4809	+	13.4809i	−0.489650	+	0.489650i
$759$	5.39967	+	2.07916i	0.195996	+	0.0754687i
$760$	18.7360	+	1.39981i	0.679624	+	0.0507766i
$761$	−21.9664	+	7.13731i	−0.796280	+	0.258727i	−0.678776	−	0.734345i	$-0.737489\pi$
$761$	−21.9664	+	7.13731i	−0.796280	+	0.258727i	−0.117504	+	0.993072i	$0.537489\pi$
$762$	−29.9798	+	4.74833i	−1.08605	+	0.172014i
$763$	40.2561	+	7.42122i	1.45737	+	0.268666i
$764$	6.56008	+	2.13150i	0.237335	+	0.0771149i
$765$	−0.414469	−	0.169756i	−0.0149852	−	0.00613755i
$766$	19.6153	+	26.9982i	0.708730	+	0.975484i
$767$	1.69292	+	10.6887i	0.0611279	+	0.385946i
$768$	−0.798443	+	1.56703i	−0.0288113	+	0.0565455i
$769$	−39.6339			−1.42923			−0.714617	−	0.699516i	$-0.753399\pi$
$769$	−39.6339			−1.42923			−0.714617	+	0.699516i	$0.753399\pi$
$770$	−19.6213	+	0.0762448i	−0.707101	+	0.00274767i
$771$	−11.0402			−0.397602
$772$	4.12860	−	8.10282i	0.148591	−	0.291627i
$773$	−4.92442	−	31.0916i	−0.177119	−	1.11829i	−0.902739	−	0.430189i	$-0.858447\pi$
$773$	−4.92442	−	31.0916i	−0.177119	−	1.11829i	0.725620	−	0.688096i	$-0.241553\pi$
$774$	−0.151629	−	0.208699i	−0.00545018	−	0.00750153i
$775$	−17.3355	+	34.7006i	−0.622710	+	1.24648i
$776$	1.03105	+	0.335009i	0.0370126	+	0.0120261i
$777$	41.6871	+	7.68504i	1.49552	+	0.275699i
$778$	16.7053	−	2.64586i	0.598913	−	0.0948585i
$779$	86.4065	−	28.0752i	3.09583	−	1.00590i
$780$	−12.7797	−	14.8435i	−0.457585	−	0.531481i
$781$	1.11506	−	20.8630i	0.0398999	−	0.746537i
$782$	1.50898	−	1.50898i	0.0539612	−	0.0539612i
$783$	−12.3329	+	24.2047i	−0.440743	+	0.865006i
$784$	4.39483	−	5.44843i	0.156958	−	0.194587i
$785$	−44.6187	+	27.5864i	−1.59251	+	0.984600i
$786$	−5.02078	+	15.4524i	−0.179085	+	0.551168i
$787$	−22.2322	−	43.6331i	−0.792492	−	1.55535i	−0.831116	−	0.556099i	$-0.812297\pi$
$787$	−22.2322	−	43.6331i	−0.792492	−	1.55535i	0.0386237	−	0.999254i	$-0.487703\pi$
$788$	0.253223	−	1.59879i	0.00902069	−	0.0569544i
$789$	−13.0404	−	9.47438i	−0.464249	−	0.337297i
$790$	−5.54879	−	22.7152i	−0.197417	−	0.808169i
$791$	−0.329500	+	13.0602i	−0.0117157	+	0.464368i
$792$	−0.229695	+	0.206388i	−0.00816186	+	0.00733368i
$793$	−28.2469	+	28.2469i	−1.00308	+	1.00308i
$794$	−7.02375	−	21.6169i	−0.249264	−	0.767155i
$795$	−2.25265	−	27.2411i	−0.0798934	−	0.966142i
$796$	−5.73664	−	7.89581i	−0.203330	−	0.279860i
$797$	−15.2841	−	29.9968i	−0.541392	−	1.06254i	−0.985989	−	0.166811i	$-0.946653\pi$
$797$	−15.2841	−	29.9968i	−0.541392	−	1.06254i	0.444597	−	0.895731i	$-0.353347\pi$
$798$	−35.2725	+	16.8655i	−1.24863	+	0.597033i
$799$	−2.74108	−	3.77277i	−0.0969725	−	0.133471i
$800$	−4.99984	+	0.0396565i	−0.176771	+	0.00140207i
$801$	−0.461163	+	0.149841i	−0.0162944	+	0.00529437i
$802$	−8.93049	−	8.93049i	−0.315347	−	0.315347i
$803$	−0.110603	+	0.0115090i	−0.00390309	+	0.000406144i
$804$	−1.38927			−0.0489958
$805$	−4.93743	−	3.17196i	−0.174021	−	0.111797i
$806$	31.2600	+	22.7117i	1.10109	+	0.799987i
$807$	−8.73729	−	1.38385i	−0.307567	−	0.0487138i
$808$	−9.34265	+	4.76032i	−0.328673	+	0.167467i
$809$	11.2018	+	3.63968i	0.393834	+	0.127964i	0.499238	−	0.866465i	$-0.333613\pi$
$809$	11.2018	+	3.63968i	0.393834	+	0.127964i	−0.105404	+	0.994430i	$0.533613\pi$
$810$	−10.9013	−	17.6320i	−0.383033	−	0.619524i
$811$	24.7712	−	34.0946i	0.869833	−	1.19722i	−0.109301	−	0.994009i	$-0.534861\pi$
$811$	24.7712	−	34.0946i	0.869833	−	1.19722i	0.979134	−	0.203214i	$-0.0651388\pi$
$812$	−12.3613	−	6.69636i	−0.433798	−	0.234996i
$813$	−14.1584	+	14.1584i	−0.496558	+	0.496558i
$814$	−10.8570	+	28.1960i	−0.380536	+	0.988270i
$815$	−29.5386	−	2.20691i	−1.03469	−	0.0773047i
$816$	1.16919	+	3.59839i	0.0409298	+	0.125969i
$817$	22.9935	−	3.64181i	0.804440	−	0.127411i
$818$	14.0229	+	2.22101i	0.490300	+	0.0776559i
$819$	1.15692	+	0.408443i	0.0404261	+	0.0142722i
$820$	−22.3010	+	9.34114i	−0.778783	+	0.326207i
$821$	−9.58045	+	6.96061i	−0.334360	+	0.242927i	−0.742278	−	0.670092i	$-0.766255\pi$
$821$	−9.58045	+	6.96061i	−0.334360	+	0.242927i	0.407918	+	0.913018i	$0.366255\pi$
$822$	10.8284	−	1.71505i	0.377683	−	0.0598191i
$823$	−21.4742	−	10.9416i	−0.748542	−	0.381401i	0.0377247	−	0.999288i	$-0.487989\pi$
$823$	−21.4742	−	10.9416i	−0.748542	−	0.381401i	−0.786267	+	0.617887i	$0.787989\pi$
$824$	−4.42193			−0.154045
$825$	−27.2994	−	10.2638i	−0.950443	−	0.357341i
$826$	−5.74687	−	0.144989i	−0.199959	−	0.00504483i
$827$	6.08771	−	11.9478i	0.211690	−	0.415466i	−0.760607	−	0.649212i	$-0.775099\pi$
$827$	6.08771	−	11.9478i	0.211690	−	0.415466i	0.972298	+	0.233747i	$0.0750986\pi$
$828$	−0.0912204	+	0.0144479i	−0.00317013	+	0.000502099i
$829$	−13.0978	+	9.51614i	−0.454907	+	0.330509i	−0.791530	−	0.611130i	$-0.790715\pi$
$829$	−13.0978	+	9.51614i	−0.454907	+	0.330509i	0.336623	+	0.941639i	$0.390715\pi$
$830$	−9.90130	−	23.6383i	−0.343679	−	0.820497i
$831$	45.9644	+	14.9347i	1.59449	+	0.518080i
$832$	−0.779142	+	4.91931i	−0.0270119	+	0.170546i
$833$	−1.60275	−	14.9737i	−0.0555321	−	0.518808i
$834$	1.26045	−	0.409545i	0.0436458	−	0.0141814i
$835$	9.10913	+	0.680568i	0.315234	+	0.0235520i
$836$	−7.18472	−	26.9253i	−0.248489	−	0.931230i
$837$	28.0452	+	28.0452i	0.969385	+	0.969385i
$838$	−9.15575	+	17.9692i	−0.316280	+	0.620734i
$839$	16.7767	+	12.1890i	0.579198	+	0.420812i	0.838435	−	0.545002i	$-0.183471\pi$
$839$	16.7767	+	12.1890i	0.579198	+	0.420812i	−0.259237	+	0.965814i	$0.583471\pi$
$840$	8.98506	−	5.24666i	0.310014	−	0.181027i
$841$	0.236445	−	0.727704i	0.00815329	−	0.0250932i
$842$	21.2576	−	10.8313i	0.732586	−	0.373271i
$843$	46.8674	+	7.42307i	1.61420	+	0.255664i
$844$	−1.28699	+	1.77138i	−0.0442999	+	0.0609735i
$845$	−22.5646	−	13.7048i	−0.776246	−	0.471460i
$846$			0.201825i			0.00693890i
$847$	9.68425	+	27.4448i	0.332755	+	0.943013i
$848$	−4.91481	+	4.91481i	−0.168775	+	0.168775i
$849$	23.1965	−	7.53700i	0.796102	−	0.258669i
$850$	−7.54550	+	7.66615i	−0.258809	+	0.262947i
$851$	−7.31080	+	5.31161i	−0.250611	+	0.182080i
$852$	5.02973	+	9.87139i	0.172316	+	0.338188i
$853$	3.80139	−	1.93690i	0.130157	−	0.0663184i	−0.387699	−	0.921786i	$-0.626730\pi$
$853$	3.80139	−	1.93690i	0.130157	−	0.0663184i	0.517856	+	0.855468i	$0.326730\pi$
$854$	−12.0360	−	17.4767i	−0.411864	−	0.598040i
$855$	−1.74334	+	0.144162i	−0.0596210	+	0.00493025i
$856$	−2.32798	−	7.16479i	−0.0795688	−	0.244887i
$857$	13.3300	−	13.3300i	0.455344	−	0.455344i	−0.441779	−	0.897124i	$-0.645653\pi$
$857$	13.3300	−	13.3300i	0.455344	−	0.455344i	0.897124	+	0.441779i	$0.145653\pi$
$858$	−14.5521	+	25.1448i	−0.496801	+	0.858430i
$859$	−1.76195			−0.0601170			−0.0300585	−	0.999548i	$-0.509569\pi$
$859$	−1.76195			−0.0601170			−0.0300585	+	0.999548i	$0.509569\pi$
$860$	−6.01845	+	1.47017i	−0.205227	+	0.0501323i
$861$	30.5909	−	39.9459i	1.04254	−	1.36135i
$862$	23.1614	+	3.66841i	0.788881	+	0.124946i
$863$	−14.0107	−	27.4976i	−0.476930	−	0.936028i	−0.996657	−	0.0816959i	$-0.973966\pi$
$863$	−14.0107	−	27.4976i	−0.476930	−	0.936028i	0.519727	−	0.854332i	$-0.326034\pi$
$864$	−1.57982	+	4.86220i	−0.0537467	+	0.165415i
$865$	−22.6191	−	36.5845i	−0.769071	−	1.24391i
$866$	−10.2699	+	14.1353i	−0.348985	+	0.480337i
$867$	−19.3871	−	9.87820i	−0.658419	−	0.335481i
$868$	−14.8753	+	14.1431i	−0.504899	+	0.480049i
$869$	−29.1069	+	18.8594i	−0.987384	+	0.639761i
$870$	−13.6341	−	15.8359i	−0.462241	−	0.536889i
$871$	−3.74179	+	1.21578i	−0.126786	+	0.0411952i
$872$	−2.42032	−	15.2813i	−0.0819622	−	0.517489i
$873$	−0.0996946	−	0.0157901i	−0.00337415	−	0.000534413i
$874$	2.57559	−	7.92685i	0.0871206	−	0.268130i
$875$	25.0132	+	15.7905i	0.845601	+	0.533815i
$876$	0.0477049	−	0.0346597i	0.00161180	−	0.00117104i
$877$	2.11289	+	13.3403i	0.0713473	+	0.450469i	0.997338	+	0.0729219i	$0.0232324\pi$
$877$	2.11289	+	13.3403i	0.0713473	+	0.450469i	−0.925990	+	0.377547i	$0.876768\pi$
$878$	−0.460993	+	0.904750i	−0.0155578	+	0.0305338i
$879$			37.8894i			1.27798i
$880$	2.49605	+	6.98353i	0.0841418	+	0.235415i
$881$			30.5925i			1.03069i	0.856984	+	0.515343i	$0.172335\pi$
$881$			30.5925i			1.03069i	−0.856984	+	0.515343i	$0.827665\pi$
$882$	−0.324791	+	0.565047i	−0.0109363	+	0.0190261i
$883$	10.3937	−	1.64620i	0.349777	−	0.0553992i	0.0209257	−	0.999781i	$-0.493339\pi$
$883$	10.3937	−	1.64620i	0.349777	−	0.0553992i	0.328851	+	0.944382i	$0.393339\pi$
$884$	6.29807	+	8.66855i	0.211827	+	0.291555i
$885$	−7.90729	−	3.23863i	−0.265801	−	0.108865i
$886$	7.11197	−	21.8884i	0.238931	−	0.735355i
$887$	6.72495	−	42.4597i	0.225802	−	1.42566i	−0.570769	−	0.821111i	$-0.693355\pi$
$887$	6.72495	−	42.4597i	0.225802	−	1.42566i	0.796571	−	0.604546i	$-0.206645\pi$
$888$	−2.50636	−	15.8245i	−0.0841078	−	0.531036i
$889$	−13.0107	−	43.7698i	−0.436366	−	1.46799i
$890$	−0.867643	+	11.6131i	−0.0290835	+	0.389271i
$891$	−19.3746	+	23.8751i	−0.649074	+	0.799844i
$892$	−4.65510	+	4.65510i	−0.155864	+	0.155864i
$893$	−16.2285	−	8.26883i	−0.543066	−	0.276706i
$894$	29.3875	+	21.3513i	0.982866	+	0.714094i
$895$	0.250665	−	1.06264i	0.00837882	−	0.0355203i
$896$	−2.49484	−	0.880785i	−0.0833467	−	0.0294250i
$897$	−7.74206	+	3.94478i	−0.258500	+	0.131712i
$898$	−5.70206	+	36.0014i	−0.190280	+	1.20138i
$899$	33.3502	+	24.2303i	1.11229	+	0.808126i
$900$	0.459206	−	0.0764694i	0.0153069	−	0.00254898i
$901$			14.9530i			0.498155i
$902$	23.9689	+	26.6756i	0.798076	+	0.888202i
$903$	9.34328	−	8.88343i	0.310925	−	0.295622i
$904$	4.69620	−	1.52589i	0.156193	−	0.0507502i
$905$	−34.0859	+	2.81867i	−1.13305	+	0.0936957i
$906$	−4.17665	−	5.74866i	−0.138760	−	0.190987i
$907$	−32.5470	+	16.5835i	−1.08070	+	0.550647i	−0.901330	−	0.433134i	$-0.857408\pi$
$907$	−32.5470	+	16.5835i	−1.08070	+	0.550647i	−0.179375	+	0.983781i	$0.557408\pi$
$908$	21.9919	−	11.2054i	0.729828	−	0.371866i
$909$	0.789813	−	0.573833i	0.0261964	−	0.0190328i
$910$	19.6084	−	21.9941i	0.650014	−	0.729098i
$911$	0.705649	+	2.17176i	0.0233792	+	0.0719537i	0.962065	−	0.272819i	$-0.0879560\pi$
$911$	0.705649	+	2.17176i	0.0233792	+	0.0719537i	−0.938686	+	0.344773i	$0.887956\pi$
$912$	10.4492	+	10.4492i	0.346007	+	0.346007i
$913$	−28.2753	+	25.4062i	−0.935776	+	0.840823i
$914$		−	15.0413i		−	0.497523i
$915$	−7.48483	−	30.6407i	−0.247441	−	1.01295i
$916$	4.90339	−	6.74893i	0.162012	−	0.222991i
$917$	−24.0372	−	4.43126i	−0.793777	−	0.146333i
$918$	4.99319	+	9.79969i	0.164800	+	0.323438i
$919$	47.6184	+	15.4721i	1.57079	+	0.510379i	0.959662	−	0.281157i	$-0.0907180\pi$
$919$	47.6184	+	15.4721i	1.57079	+	0.510379i	0.611123	+	0.791536i	$0.290718\pi$
$920$	−0.509246	+	2.15884i	−0.0167893	+	0.0711749i
$921$	−27.1293	−	19.7106i	−0.893942	−	0.649487i
$922$	−14.3735	−	7.32368i	−0.473367	−	0.241193i
$923$	22.1855	+	22.1855i	0.730244	+	0.730244i
$924$	−11.7343	−	10.0237i	−0.386031	−	0.329755i
$925$	36.6367	−	27.0647i	1.20461	−	0.889882i
$926$	10.6579	+	32.8017i	0.350241	+	1.07793i
$927$	0.406639	−	0.0644053i	0.0133558	−	0.00211535i
$928$	−0.831238	+	5.24823i	−0.0272867	+	0.172282i
$929$	−11.6176	+	35.7552i	−0.381160	+	1.17309i	0.558068	+	0.829795i	$0.311543\pi$
$929$	−11.6176	+	35.7552i	−0.381160	+	1.17309i	−0.939228	+	0.343294i	$0.888457\pi$
$930$	−28.1402	+	11.7870i	−0.922755	+	0.386512i
$931$	−32.1279	−	49.2661i	−1.05295	−	1.61463i
$932$	2.57153	+	16.2360i	0.0842334	+	0.531829i
$933$	28.7637	+	14.6559i	0.941682	+	0.479811i
$934$	−0.0754881			−0.00247005
$935$	14.4205	+	6.82642i	0.471600	+	0.223248i
$936$		−	0.463726i		−	0.0151574i
$937$	−28.0810	−	14.3080i	−0.917368	−	0.467422i	−0.0694711	−	0.997584i	$-0.522131\pi$
$937$	−28.0810	−	14.3080i	−0.917368	−	0.467422i	−0.847896	+	0.530162i	$0.822131\pi$
$938$	−0.274775	−	2.07182i	−0.00897174	−	0.0676473i
$939$	−15.7297	−	21.6500i	−0.513319	−	0.706523i
$940$	4.48547	+	1.83714i	0.146300	+	0.0599208i
$941$	−2.39208	−	0.777234i	−0.0779796	−	0.0253371i	0.269767	−	0.962926i	$-0.413053\pi$
$941$	−2.39208	−	0.777234i	−0.0779796	−	0.0253371i	−0.347747	+	0.937588i	$0.613053\pi$
$942$	−40.7515	−	6.45441i	−1.32776	−	0.210296i
$943$	1.67791	+	10.5939i	0.0546401	+	0.344984i
$944$	0.671433	+	2.06646i	0.0218533	+	0.0672575i
$945$	23.4112	−	19.1496i	0.761566	−	0.622935i
$946$	4.99685	+	7.71196i	0.162462	+	0.250737i
$947$	−15.7698	−	15.7698i	−0.512451	−	0.512451i	0.402826	−	0.915277i	$-0.368028\pi$
$947$	−15.7698	−	15.7698i	−0.512451	−	0.512451i	−0.915277	+	0.402826i	$0.868028\pi$
$948$	8.34950	−	16.3868i	0.271179	−	0.532219i
$949$	0.0981547	−	0.135098i	0.00318624	−	0.00438548i
$950$	−12.6650	+	40.0571i	−0.410907	+	1.29963i
$951$	17.1873	+	5.58450i	0.557338	+	0.181090i
$952$	−5.13504	+	2.45532i	−0.166428	+	0.0795773i
$953$	2.70289	−	17.0654i	0.0875552	−	0.552801i	−0.904448	−	0.426585i	$-0.859717\pi$
$953$	2.70289	−	17.0654i	0.0875552	−	0.552801i	0.992003	−	0.126217i	$-0.0402834\pi$
$954$	0.380380	−	0.523549i	0.0123153	−	0.0169505i
$955$	−8.00663	+	13.1827i	−0.259088	+	0.426582i
$956$	26.2163			0.847895
$957$	−15.5251	+	26.8261i	−0.501856	+	0.867164i
$958$	28.7326	+	28.7326i	0.928308	+	0.928308i
$959$	4.69933	+	15.8092i	0.151749	+	0.510504i
$960$	−3.00050	−	2.54216i	−0.0968406	−	0.0820477i
$961$	23.6119	−	17.1551i	0.761675	−	0.553389i
$962$	−20.5989	−	40.4276i	−0.664135	−	1.30344i
$963$	0.318435	+	0.624965i	0.0102614	+	0.0201392i
$964$	−12.0962	+	8.78840i	−0.389592	+	0.283055i
$965$	15.5150	+	13.1450i	0.499445	+	0.423152i
$966$	−1.31517	−	4.42440i	−0.0423149	−	0.142353i
$967$	29.8324	+	29.8324i	0.959347	+	0.959347i	0.999205	−	0.0398588i	$-0.0126908\pi$
$967$	29.8324	+	29.8324i	0.959347	+	0.959347i	−0.0398588	+	0.999205i	$0.512691\pi$
$968$	8.56293	−	6.90480i	0.275223	−	0.221929i
$969$	31.7908			1.02127
$970$	−1.25841	+	2.07193i	−0.0404050	+	0.0665257i
$971$	15.2858	−	21.0391i	0.490544	−	0.675176i	−0.489944	−	0.871754i	$-0.662983\pi$
$971$	15.2858	−	21.0391i	0.490544	−	0.675176i	0.980488	+	0.196578i	$0.0629829\pi$
$972$	0.151310	−	0.955331i	0.00485326	−	0.0306423i
$973$	0.860051	+	1.79871i	0.0275720	+	0.0576639i
$974$	−18.3167	−	5.95146i	−0.586905	−	0.190697i
$975$	38.8651	−	20.1926i	1.24468	−	0.646682i
$976$	−4.71434	+	6.48873i	−0.150902	+	0.207699i
$977$	−26.1216	+	51.2664i	−0.835703	+	1.64016i	−0.0694803	+	0.997583i	$0.522134\pi$
$977$	−26.1216	+	51.2664i	−0.835703	+	1.64016i	−0.766222	+	0.642576i	$0.777866\pi$
$978$	−16.4739	−	16.4739i	−0.526777	−	0.526777i
$979$	16.6890	−	4.45329i	0.533383	−	0.142328i
$980$	9.60145	+	12.3617i	0.306707	+	0.394881i
$981$	0.445143	+	1.37001i	0.0142123	+	0.0437410i
$982$	2.84386	+	17.9554i	0.0907512	+	0.572980i
$983$	−49.4176	−	7.82698i	−1.57618	−	0.249642i	−0.693794	−	0.720173i	$-0.744062\pi$
$983$	−49.4176	−	7.82698i	−1.57618	−	0.249642i	−0.882383	+	0.470532i	$0.844062\pi$
$984$	−18.0861	−	5.87652i	−0.576563	−	0.187337i
$985$	3.34950	+	1.37187i	0.106724	+	0.0437115i
$986$	6.71918	+	9.24816i	0.213982	+	0.294521i
$987$	−9.99904	+	1.32612i	−0.318273	+	0.0422110i
$988$	37.2876	+	18.9990i	1.18628	+	0.604438i
$989$			2.74840i			0.0873940i
$990$	−0.331251	−	0.605849i	−0.0105278	−	0.0192551i
$991$	54.6315			1.73543			0.867713	−	0.497065i	$-0.165589\pi$
$991$	54.6315			1.73543			0.867713	+	0.497065i	$0.165589\pi$
$992$	6.91239	+	3.52204i	0.219469	+	0.111825i
$993$	5.75253	+	36.3200i	0.182551	+	1.15258i
$994$	−13.7264	+	9.45324i	−0.435376	+	0.299839i
$995$	20.1290	−	8.43138i	0.638132	−	0.267293i
$996$	6.22892	−	19.1706i	0.197371	−	0.607445i
$997$	4.76382	−	30.0776i	0.150872	−	0.952567i	−0.789828	−	0.613328i	$-0.789830\pi$
$997$	4.76382	−	30.0776i	0.150872	−	0.952567i	0.940700	−	0.339239i	$-0.110170\pi$
$998$	21.5160	−	3.40780i	0.681078	−	0.107872i
$999$	−14.3920	−	44.2941i	−0.455343	−	1.40140i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.bi.a.27.7	✓	384
5.3	odd	4	inner	770.2.bi.a.643.42	yes	384
7.6	odd	2	inner	770.2.bi.a.27.18	yes	384
11.9	even	5	inner	770.2.bi.a.97.31	yes	384
35.13	even	4	inner	770.2.bi.a.643.31	yes	384
55.53	odd	20	inner	770.2.bi.a.713.18	yes	384
77.20	odd	10	inner	770.2.bi.a.97.42	yes	384
385.328	even	20	inner	770.2.bi.a.713.7	yes	384

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.bi.a.27.7	✓	384	1.1	even	1	trivial
770.2.bi.a.27.18	yes	384	7.6	odd	2	inner
770.2.bi.a.97.31	yes	384	11.9	even	5	inner
770.2.bi.a.97.42	yes	384	77.20	odd	10	inner
770.2.bi.a.643.31	yes	384	35.13	even	4	inner
770.2.bi.a.643.42	yes	384	5.3	odd	4	inner
770.2.bi.a.713.7	yes	384	385.328	even	20	inner
770.2.bi.a.713.18	yes	384	55.53	odd	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.bi (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.275125 - 1.73707i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(2.06245 - 0.863892i) q^{5} +(1.67264 + 0.543475i) q^{6} +(-0.479663 + 2.60191i) q^{7} +(0.987688 - 0.156434i) q^{8} +(-0.0885490 + 0.0287713i) q^{9} +O(q^{10})\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.275125 - 1.73707i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(2.06245 - 0.863892i) q^{5} +(1.67264 + 0.543475i) q^{6} +(-0.479663 + 2.60191i) q^{7} +(0.987688 - 0.156434i) q^{8} +(-0.0885490 + 0.0287713i) q^{9} +(-0.166598 + 2.22985i) q^{10} +(3.20450 - 0.855087i) q^{11} +(-1.24360 + 1.24360i) q^{12} +(-2.26116 + 4.43777i) q^{13} +(-2.10055 - 1.60862i) q^{14} +(-2.06807 - 3.34494i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.976679 + 1.91684i) q^{17} +(0.0145650 - 0.0919597i) q^{18} +(6.79762 + 4.93876i) q^{19} +(-1.91118 - 1.16077i) q^{20} +(4.65166 + 0.117358i) q^{21} +(-0.692925 + 3.24343i) q^{22} +(-0.701422 + 0.701422i) q^{23} +(-0.543475 - 1.67264i) q^{24} +(3.50738 - 3.56346i) q^{25} +(-2.92754 - 4.02941i) q^{26} +(-2.32099 - 4.55520i) q^{27} +(2.38693 - 1.14131i) q^{28} +(-3.12328 - 4.29883i) q^{29} +(3.91925 - 0.324095i) q^{30} +(-7.37826 + 2.39734i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.36698 - 5.33119i) q^{33} -2.15132 q^{34} +(1.25849 + 5.78068i) q^{35} +(0.0753243 + 0.0547263i) q^{36} +(8.99773 + 1.42510i) q^{37} +(-7.48653 + 3.81458i) q^{38} +(8.33082 + 2.70685i) q^{39} +(1.90191 - 1.17589i) q^{40} +(6.35564 - 8.74779i) q^{41} +(-2.21638 + 4.09138i) q^{42} +(1.95916 - 1.95916i) q^{43} +(-2.57534 - 2.08989i) q^{44} +(-0.157772 + 0.135836i) q^{45} +(-0.306533 - 0.943411i) q^{46} +(-2.14101 + 0.339102i) q^{47} +(1.73707 + 0.275125i) q^{48} +(-6.53985 - 2.49608i) q^{49} +(1.58275 + 4.74288i) q^{50} +(3.06098 - 2.22393i) q^{51} +(4.91931 - 0.779142i) q^{52} +(6.19302 + 3.15550i) q^{53} +5.11242 q^{54} +(5.87041 - 4.53191i) q^{55} +(-0.0667292 + 2.64491i) q^{56} +(6.70878 - 13.1667i) q^{57} +(5.24823 - 0.831238i) q^{58} +(1.75784 - 1.27714i) q^{59} +(-1.49053 + 3.63921i) q^{60} +(7.62797 + 2.47848i) q^{61} +(1.21361 - 7.66245i) q^{62} +(-0.0323867 - 0.244197i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-0.829764 + 11.1061i) q^{65} +(5.82471 + 0.311311i) q^{66} +(0.558566 + 0.558566i) q^{67} +(0.976679 - 1.91684i) q^{68} +(1.41140 + 1.02544i) q^{69} +(-5.72196 - 1.50305i) q^{70} +(1.94663 - 5.99110i) q^{71} +(-0.0829580 + 0.0422692i) q^{72} +(-0.0331153 - 0.00524494i) q^{73} +(-5.35466 + 7.37005i) q^{74} +(-7.15495 - 5.11217i) q^{75} -8.40233i q^{76} +(0.687777 + 8.74797i) q^{77} +(-6.19393 + 6.19393i) q^{78} +(-9.94541 + 3.23146i) q^{79} +(0.184279 + 2.22846i) q^{80} +(-7.50011 + 5.44915i) q^{81} +(4.90894 + 9.63433i) q^{82} +(-10.2121 + 5.20331i) q^{83} +(-2.63923 - 3.83226i) q^{84} +(3.67029 + 3.10964i) q^{85} +(0.856185 + 2.63507i) q^{86} +(-6.60808 + 6.60808i) q^{87} +(3.03128 - 1.34585i) q^{88} +5.20799 q^{89} +(-0.0494037 - 0.202245i) q^{90} +(-10.4621 - 8.01196i) q^{91} +(0.979748 + 0.155177i) q^{92} +(6.19429 + 12.1570i) q^{93} +(0.669854 - 2.06160i) q^{94} +(18.2863 + 4.31353i) q^{95} +(-1.03375 + 1.42284i) q^{96} +(0.965951 + 0.492177i) q^{97} +(5.19305 - 4.69385i) q^{98} +(-0.259153 + 0.167915i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 384 q - 4 q^{7}+O(q^{10}) \) 384 * q - 4 * q^7	\( 384 q - 4 q^{7} + 24 q^{15} + 96 q^{16} + 16 q^{22} + 16 q^{23} - 40 q^{25} + 4 q^{28} + 16 q^{30} - 32 q^{35} + 80 q^{36} - 64 q^{37} + 44 q^{42} - 80 q^{43} - 16 q^{46} - 64 q^{50} - 136 q^{51} + 80 q^{53} + 8 q^{56} - 112 q^{57} - 96 q^{58} + 68 q^{63} - 272 q^{65} + 160 q^{67} - 8 q^{70} + 16 q^{71} + 96 q^{77} + 24 q^{81} - 80 q^{85} - 16 q^{88} - 84 q^{91} + 16 q^{92} + 88 q^{93} - 184 q^{95} - 32 q^{98}+O(q^{100}) \) 384 * q - 4 * q^7 + 24 * q^15 + 96 * q^16 + 16 * q^22 + 16 * q^23 - 40 * q^25 + 4 * q^28 + 16 * q^30 - 32 * q^35 + 80 * q^36 - 64 * q^37 + 44 * q^42 - 80 * q^43 - 16 * q^46 - 64 * q^50 - 136 * q^51 + 80 * q^53 + 8 * q^56 - 112 * q^57 - 96 * q^58 + 68 * q^63 - 272 * q^65 + 160 * q^67 - 8 * q^70 + 16 * q^71 + 96 * q^77 + 24 * q^81 - 80 * q^85 - 16 * q^88 - 84 * q^91 + 16 * q^92 + 88 * q^93 - 184 * q^95 - 32 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

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Database

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