LMFDB - Embedded newform 552.2.t.a.19.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(19,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(552, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))

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

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

chi := DirichletCharacter("552.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.t (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			19.4
Character	$\chi$	$=$	552.19
Dual form			552.2.t.a.523.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.23359 + 0.691558i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.04350 - 1.70620i) q^{4} +(-1.23207 - 0.791805i) q^{5} +(-0.988788 + 1.01109i) q^{6} +(0.0805522 + 0.560253i) q^{7} +(-0.107310 + 2.82639i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(-1.23359 + 0.691558i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.04350 - 1.70620i) q^{4} +(-1.23207 - 0.791805i) q^{5} +(-0.988788 + 1.01109i) q^{6} +(0.0805522 + 0.560253i) q^{7} +(-0.107310 + 2.82639i) q^{8} +(0.841254 - 0.540641i) q^{9} +(2.06745 + 0.124714i) q^{10} +(-1.75218 - 0.800193i) q^{11} +(0.520534 - 1.93107i) q^{12} +(4.00903 + 0.576411i) q^{13} +(-0.486816 - 0.635416i) q^{14} +(-1.40524 - 0.412616i) q^{15} +(-1.82224 - 3.56082i) q^{16} +(1.37983 - 1.19563i) q^{17} +(-0.663879 + 1.24871i) q^{18} +(6.08227 + 5.27032i) q^{19} +(-2.63664 + 1.27592i) q^{20} +(0.235131 + 0.514864i) q^{21} +(2.71485 - 0.224622i) q^{22} +(0.562062 - 4.76278i) q^{23} +(0.693323 + 2.74213i) q^{24} +(-1.18603 - 2.59704i) q^{25} +(-5.34412 + 2.06142i) q^{26} +(0.654861 - 0.755750i) q^{27} +(1.03996 + 0.447183i) q^{28} +(5.23505 - 4.53620i) q^{29} +(2.01884 - 0.462807i) q^{30} +(2.62628 - 8.94428i) q^{31} +(4.71041 + 3.13242i) q^{32} +(-1.90664 - 0.274134i) q^{33} +(-0.875300 + 2.42915i) q^{34} +(0.344365 - 0.754054i) q^{35} +(-0.0445973 - 1.99950i) q^{36} +(-3.57349 + 2.29654i) q^{37} +(-11.1478 - 2.29517i) q^{38} +(4.00903 - 0.576411i) q^{39} +(2.37016 - 3.39735i) q^{40} +(-1.92784 - 1.23895i) q^{41} +(-0.646114 - 0.472526i) q^{42} +(-2.37773 - 8.09780i) q^{43} +(-3.19368 + 2.15457i) q^{44} -1.46457 q^{45} +(2.60038 + 6.26402i) q^{46} +5.33654i q^{47} +(-2.75162 - 2.90320i) q^{48} +(6.40906 - 1.88187i) q^{49} +(3.25907 + 2.38348i) q^{50} +(0.987091 - 1.53594i) q^{51} +(5.16687 - 6.23872i) q^{52} +(-0.465855 - 3.24009i) q^{53} +(-0.285186 + 1.38516i) q^{54} +(1.52521 + 2.37328i) q^{55} +(-1.59214 + 0.167551i) q^{56} +(7.32071 + 3.34326i) q^{57} +(-3.32087 + 9.21615i) q^{58} +(-2.02452 + 14.0809i) q^{59} +(-2.17037 + 1.96706i) q^{60} +(10.8139 + 3.17526i) q^{61} +(2.94574 + 12.8498i) q^{62} +(0.370660 + 0.427765i) q^{63} +(-7.97697 - 0.606602i) q^{64} +(-4.48301 - 3.88455i) q^{65} +(2.54160 - 0.980385i) q^{66} +(-3.24898 + 1.48376i) q^{67} +(-0.600138 - 3.60190i) q^{68} +(-0.802536 - 4.72821i) q^{69} +(0.0966664 + 1.16834i) q^{70} +(4.08747 - 1.86668i) q^{71} +(1.43779 + 2.43573i) q^{72} +(-1.95594 + 2.25727i) q^{73} +(2.82004 - 5.30427i) q^{74} +(-1.86965 - 2.15770i) q^{75} +(15.3390 - 4.87802i) q^{76} +(0.307169 - 1.04612i) q^{77} +(-4.54688 + 3.48353i) q^{78} +(-1.12732 + 7.84066i) q^{79} +(-0.574350 + 5.83005i) q^{80} +(0.415415 - 0.909632i) q^{81} +(3.23498 + 0.195142i) q^{82} +(7.27065 + 11.3134i) q^{83} +(1.12382 + 0.136079i) q^{84} +(-2.64676 + 0.380547i) q^{85} +(8.53325 + 8.34504i) q^{86} +(3.74500 - 5.82733i) q^{87} +(2.44969 - 4.86647i) q^{88} +(-3.31070 - 11.2752i) q^{89} +(1.80668 - 1.01283i) q^{90} +2.29250i q^{91} +(-7.53975 - 5.92893i) q^{92} -9.32189i q^{93} +(-3.69053 - 6.58311i) q^{94} +(-3.32073 - 11.3094i) q^{95} +(5.40211 + 1.67846i) q^{96} +(1.37284 - 2.13619i) q^{97} +(-6.60474 + 6.75369i) q^{98} +(-1.90664 + 0.274134i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) $ 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9	$ 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) $ 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9 + 4 * q^12 - 4 * q^16 + 44 * q^17 - 55 * q^20 - 24 * q^25 + 24 * q^27 + 33 * q^34 + 7 * q^36 - 132 * q^38 + 11 * q^40 - 66 * q^42 + 77 * q^44 + 37 * q^48 - 56 * q^49 - 37 * q^50 - 55 * q^52 - 11 * q^54 + 132 * q^56 + 37 * q^58 + 11 * q^60 + 51 * q^62 - 4 * q^64 - 55 * q^66 - 132 * q^70 + 144 * q^73 + 44 * q^74 + 24 * q^75 - 55 * q^76 - 198 * q^80 - 24 * q^81 - 26 * q^82 + 44 * q^84 - 110 * q^86 + 22 * q^88 - 139 * q^92 - 117 * q^94 - 209 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{15}{22}\right)$	$1$	$-1$	$-1$

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 $

$2$	−1.23359	+	0.691558i	−0.872281	+	0.489005i
$2$	−1.23359	+	0.691558i	−0.872281	+	0.489005i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$4$	1.04350	−	1.70620i	0.521748	−	0.853100i
$5$	−1.23207	−	0.791805i	−0.551000	−	0.354106i	0.235328	−	0.971916i	$-0.424384\pi$
$5$	−1.23207	−	0.791805i	−0.551000	−	0.354106i	−0.786327	+	0.617810i	$0.788020\pi$
$6$	−0.988788	+	1.01109i	−0.403671	+	0.412775i
$7$	0.0805522	+	0.560253i	0.0304459	+	0.211756i	0.999365	−	0.0356205i	$-0.0113408\pi$
$7$	0.0805522	+	0.560253i	0.0304459	+	0.211756i	−0.968920	+	0.247376i	$0.920432\pi$
$8$	−0.107310	+	2.82639i	−0.0379400	+	0.999280i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	2.06745	+	0.124714i	0.653786	+	0.0394381i
$11$	−1.75218	−	0.800193i	−0.528302	−	0.241267i	0.133363	−	0.991067i	$-0.457422\pi$
$11$	−1.75218	−	0.800193i	−0.528302	−	0.241267i	−0.661665	+	0.749800i	$0.730150\pi$
$12$	0.520534	−	1.93107i	0.150265	−	0.557453i
$13$	4.00903	+	0.576411i	1.11190	+	0.159868i	0.673698	−	0.739007i	$-0.264705\pi$
$13$	4.00903	+	0.576411i	1.11190	+	0.159868i	0.438206	+	0.898875i	$0.355614\pi$
$14$	−0.486816	−	0.635416i	−0.130107	−	0.169822i
$15$	−1.40524	−	0.412616i	−0.362832	−	0.106537i
$16$	−1.82224	−	3.56082i	−0.455559	−	0.890206i
$17$	1.37983	−	1.19563i	0.334658	−	0.289983i	−0.471279	−	0.881984i	$-0.656207\pi$
$17$	1.37983	−	1.19563i	0.334658	−	0.289983i	0.805937	+	0.592001i	$0.201662\pi$
$18$	−0.663879	+	1.24871i	−0.156478	+	0.294323i
$19$	6.08227	+	5.27032i	1.39537	+	1.20909i	0.949410	+	0.314039i	$0.101682\pi$
$19$	6.08227	+	5.27032i	1.39537	+	1.20909i	0.445958	+	0.895054i	$0.352863\pi$
$20$	−2.63664	+	1.27592i	−0.589571	+	0.285304i
$21$	0.235131	+	0.514864i	0.0513097	+	0.112353i
$22$	2.71485	−	0.224622i	0.578808	−	0.0478895i
$23$	0.562062	−	4.76278i	0.117198	−	0.993109i
$23$	0.562062	−	4.76278i	0.117198	−	0.993109i
$24$	0.693323	+	2.74213i	0.141524	+	0.559736i
$25$	−1.18603	−	2.59704i	−0.237205	−	0.519407i
$26$	−5.34412	+	2.06142i	−1.04807	+	0.404277i
$27$	0.654861	−	0.755750i	0.126028	−	0.145444i
$28$	1.03996	+	0.447183i	0.196534	+	0.0845096i
$29$	5.23505	−	4.53620i	0.972125	−	0.842351i	−0.0153895	−	0.999882i	$-0.504899\pi$
$29$	5.23505	−	4.53620i	0.972125	−	0.842351i	0.987514	+	0.157531i	$0.0503534\pi$
$30$	2.01884	−	0.462807i	0.368589	−	0.0844965i
$31$	2.62628	−	8.94428i	0.471694	−	1.60644i	−0.289000	−	0.957329i	$-0.593323\pi$
$31$	2.62628	−	8.94428i	0.471694	−	1.60644i	0.760693	−	0.649112i	$-0.224859\pi$
$32$	4.71041	+	3.13242i	0.832691	+	0.553738i
$33$	−1.90664	−	0.274134i	−0.331904	−	0.0477206i
$34$	−0.875300	+	2.42915i	−0.150113	+	0.416596i
$35$	0.344365	−	0.754054i	0.0582083	−	0.127458i
$36$	−0.0445973	−	1.99950i	−0.00743289	−	0.333250i
$37$	−3.57349	+	2.29654i	−0.587479	+	0.377550i	−0.800352	−	0.599530i	$-0.795354\pi$
$37$	−3.57349	+	2.29654i	−0.587479	+	0.377550i	0.212874	+	0.977080i	$0.431718\pi$
$38$	−11.1478	−	2.29517i	−1.80841	−	0.372326i
$39$	4.00903	−	0.576411i	0.641958	−	0.0922996i
$40$	2.37016	−	3.39735i	0.374756	−	0.537168i
$41$	−1.92784	−	1.23895i	−0.301079	−	0.193491i	0.381375	−	0.924420i	$-0.375451\pi$
$41$	−1.92784	−	1.23895i	−0.301079	−	0.193491i	−0.682454	+	0.730929i	$0.739087\pi$
$42$	−0.646114	−	0.472526i	−0.0996975	−	0.0729123i
$43$	−2.37773	−	8.09780i	−0.362600	−	1.23490i	−0.915725	−	0.401805i	$-0.868383\pi$
$43$	−2.37773	−	8.09780i	−0.362600	−	1.23490i	0.553125	−	0.833098i	$-0.313435\pi$
$44$	−3.19368	+	2.15457i	−0.481465	+	0.324814i
$45$	−1.46457			−0.218325
$46$	2.60038	+	6.26402i	0.383406	+	0.923580i
$47$			5.33654i			0.778415i	0.921150	+	0.389207i	$0.127251\pi$
$47$			5.33654i			0.778415i	−0.921150	+	0.389207i	$0.872749\pi$
$48$	−2.75162	−	2.90320i	−0.397162	−	0.419041i
$49$	6.40906	−	1.88187i	0.915579	−	0.268838i
$50$	3.25907	+	2.38348i	0.460903	+	0.337074i
$51$	0.987091	−	1.53594i	0.138220	−	0.215075i
$52$	5.16687	−	6.23872i	0.716516	−	0.865155i
$53$	−0.465855	−	3.24009i	−0.0639901	−	0.445061i	−0.996478	−	0.0838588i	$-0.973276\pi$
$53$	−0.465855	−	3.24009i	−0.0639901	−	0.445061i	0.932488	−	0.361202i	$-0.117634\pi$
$54$	−0.285186	+	1.38516i	−0.0388089	+	0.188496i
$55$	1.52521	+	2.37328i	0.205660	+	0.320013i
$56$	−1.59214	+	0.167551i	−0.212758	+	0.0223899i
$57$	7.32071	+	3.34326i	0.969652	+	0.442825i
$58$	−3.32087	+	9.21615i	−0.436052	+	1.21014i
$59$	−2.02452	+	14.0809i	−0.263571	+	1.83317i	0.241866	+	0.970310i	$0.422241\pi$
$59$	−2.02452	+	14.0809i	−0.263571	+	1.83317i	−0.505437	+	0.862864i	$0.668669\pi$
$60$	−2.17037	+	1.96706i	−0.280193	+	0.253946i
$61$	10.8139	+	3.17526i	1.38458	+	0.406550i	0.887362	−	0.461073i	$-0.152535\pi$
$61$	10.8139	+	3.17526i	1.38458	+	0.406550i	0.497222	+	0.867624i	$0.334354\pi$
$62$	2.94574	+	12.8498i	0.374109	+	1.63193i
$63$	0.370660	+	0.427765i	0.0466988	+	0.0538933i
$64$	−7.97697	−	0.606602i	−0.997121	−	0.0758253i
$65$	−4.48301	−	3.88455i	−0.556049	−	0.481819i
$66$	2.54160	−	0.980385i	0.312849	−	0.120677i
$67$	−3.24898	+	1.48376i	−0.396925	+	0.181270i	−0.603870	−	0.797083i	$-0.706375\pi$
$67$	−3.24898	+	1.48376i	−0.396925	+	0.181270i	0.206944	+	0.978353i	$0.433648\pi$
$68$	−0.600138	−	3.60190i	−0.0727774	−	0.436795i
$69$	−0.802536	−	4.72821i	−0.0966140	−	0.569209i
$70$	0.0966664	+	1.16834i	0.0115538	+	0.139644i
$71$	4.08747	−	1.86668i	0.485093	−	0.221535i	−0.157829	−	0.987467i	$-0.550449\pi$
$71$	4.08747	−	1.86668i	0.485093	−	0.221535i	0.642922	+	0.765932i	$0.277722\pi$
$72$	1.43779	+	2.43573i	0.169445	+	0.287053i
$73$	−1.95594	+	2.25727i	−0.228925	+	0.264194i	−0.858578	−	0.512683i	$-0.828652\pi$
$73$	−1.95594	+	2.25727i	−0.228925	+	0.264194i	0.629653	+	0.776877i	$0.283197\pi$
$74$	2.82004	−	5.30427i	0.327822	−	0.616609i
$75$	−1.86965	−	2.15770i	−0.215889	−	0.249149i
$76$	15.3390	−	4.87802i	1.75951	−	0.559547i
$77$	0.307169	−	1.04612i	0.0350051	−	0.119216i
$78$	−4.54688	+	3.48353i	−0.514833	+	0.394432i
$79$	−1.12732	+	7.84066i	−0.126833	+	0.882143i	0.822700	+	0.568476i	$0.192467\pi$
$79$	−1.12732	+	7.84066i	−0.126833	+	0.882143i	−0.949533	+	0.313667i	$0.898442\pi$
$80$	−0.574350	+	5.83005i	−0.0642143	+	0.651819i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	3.23498	+	0.195142i	0.357243	+	0.0215498i
$83$	7.27065	+	11.3134i	0.798058	+	1.24180i	0.966646	+	0.256115i	$0.0824427\pi$
$83$	7.27065	+	11.3134i	0.798058	+	1.24180i	−0.168589	+	0.985687i	$0.553921\pi$
$84$	1.12382	+	0.136079i	0.122619	+	0.0148474i
$85$	−2.64676	+	0.380547i	−0.287081	+	0.0412761i
$86$	8.53325	+	8.34504i	0.920164	+	0.899869i
$87$	3.74500	−	5.82733i	0.401506	−	0.624756i
$88$	2.44969	−	4.86647i	0.261137	−	0.518768i
$89$	−3.31070	−	11.2752i	−0.350934	−	1.19517i	−0.926146	−	0.377166i	$-0.876899\pi$
$89$	−3.31070	−	11.2752i	−0.350934	−	1.19517i	0.575212	−	0.818004i	$-0.304920\pi$
$90$	1.80668	−	1.01283i	0.190441	−	0.106762i
$91$			2.29250i			0.240319i
$92$	−7.53975	−	5.92893i	−0.786073	−	0.618134i
$93$		−	9.32189i		−	0.966635i
$94$	−3.69053	−	6.58311i	−0.380649	−	0.678996i
$95$	−3.32073	−	11.3094i	−0.340700	−	1.16032i
$96$	5.40211	+	1.67846i	0.551350	+	0.171307i
$97$	1.37284	−	2.13619i	0.139391	−	0.216897i	−0.764538	−	0.644578i	$-0.777033\pi$
$97$	1.37284	−	2.13619i	0.139391	−	0.216897i	0.903930	+	0.427681i	$0.140669\pi$
$98$	−6.60474	+	6.75369i	−0.667179	+	0.682226i
$99$	−1.90664	+	0.274134i	−0.191625	+	0.0275515i
$100$	−5.66868	−	0.686396i	−0.566868	−	0.0686396i
$101$	−4.61984	−	7.18862i	−0.459692	−	0.715294i	0.531597	−	0.846997i	$-0.321592\pi$
$101$	−4.61984	−	7.18862i	−0.459692	−	0.715294i	−0.991289	+	0.131703i	$0.957956\pi$
$102$	−0.155473	+	2.57736i	−0.0153941	+	0.255196i
$103$	−6.05084	+	13.2495i	−0.596207	+	1.30551i	0.335411	+	0.942072i	$0.391125\pi$
$103$	−6.05084	+	13.2495i	−0.596207	+	1.30551i	−0.931618	+	0.363439i	$0.881603\pi$
$104$	−2.05937	+	11.2692i	−0.201938	+	1.10504i
$105$	0.117974	−	0.820528i	0.0115131	−	0.0800753i
$106$	2.81539	+	3.67478i	0.273455	+	0.356927i
$107$	−5.61298	+	19.1161i	−0.542628	+	1.84802i	−0.0127946	+	0.999918i	$0.504073\pi$
$107$	−5.61298	+	19.1161i	−0.542628	+	1.84802i	−0.529833	+	0.848102i	$0.677745\pi$
$108$	−0.606116	−	1.90594i	−0.0583235	−	0.183400i
$109$	−3.58855	−	4.14141i	−0.343721	−	0.396675i	0.557399	−	0.830245i	$-0.311799\pi$
$109$	−3.58855	−	4.14141i	−0.343721	−	0.396675i	−0.901120	+	0.433570i	$0.857254\pi$
$110$	−3.52275	−	1.87288i	−0.335881	−	0.178572i
$111$	−2.78173	+	3.21029i	−0.264030	+	0.304707i
$112$	1.84818	−	1.30774i	0.174636	−	0.123570i
$113$	5.00754	−	2.28687i	0.471070	−	0.215130i	−0.165712	−	0.986174i	$-0.552992\pi$
$113$	5.00754	−	2.28687i	0.471070	−	0.215130i	0.636782	+	0.771044i	$0.280265\pi$
$114$	−11.3428	+	0.938484i	−1.06235	+	0.0878971i
$115$	−4.46370	+	5.42305i	−0.416242	+	0.505702i
$116$	−2.27691	−	13.6655i	−0.211406	−	1.26881i
$117$	3.68424	−	1.68254i	0.340608	−	0.155550i
$118$	−7.24030	−	18.7701i	−0.666524	−	1.72793i
$119$	0.781004	+	0.676744i	0.0715945	+	0.0620370i
$120$	1.31701	−	3.92749i	0.120226	−	0.358529i
$121$	−4.77365	−	5.50908i	−0.433968	−	0.500826i
$122$	−15.5359	+	3.56150i	−1.40655	+	0.322443i
$123$	−2.19880	−	0.645627i	−0.198260	−	0.0582142i
$124$	−12.5202	−	13.8143i	−1.12435	−	1.24056i
$125$	−1.63722	+	11.3871i	−0.146438	+	1.01850i
$126$	−0.753067	−	0.271354i	−0.0670886	−	0.0241741i
$127$	1.71041	+	0.781119i	0.151774	+	0.0693131i	0.489854	−	0.871804i	$-0.337050\pi$
$127$	1.71041	+	0.781119i	0.151774	+	0.0693131i	−0.338080	+	0.941118i	$0.609777\pi$
$128$	10.2598	−	4.76824i	0.906849	−	0.421457i
$129$	−4.56283	−	7.09990i	−0.401735	−	0.625112i
$130$	8.21659	+	1.69168i	0.720642	+	0.148371i
$131$	0.329368	+	2.29081i	0.0287770	+	0.200149i	0.999138	−	0.0415113i	$-0.0132173\pi$
$131$	0.329368	+	2.29081i	0.0287770	+	0.200149i	−0.970361	+	0.241660i	$0.922308\pi$
$132$	−2.45730	+	2.96706i	−0.213881	+	0.258249i
$133$	−2.46277	+	3.83214i	−0.213549	+	0.332289i
$134$	2.98180	−	4.07720i	0.257589	−	0.352217i
$135$	−1.40524	+	0.412616i	−0.120944	+	0.0355124i
$136$	3.23125	+	4.02825i	0.277077	+	0.345419i
$137$		−	5.62171i		−	0.480295i	−0.970736	−	0.240148i	$-0.922804\pi$
$137$		−	5.62171i		−	0.480295i	0.970736	−	0.240148i	$-0.0771958\pi$
$138$	4.25983	+	5.27767i	0.362621	+	0.449265i
$139$	−11.9328			−1.01213			−0.506064	−	0.862496i	$-0.668900\pi$
$139$	−11.9328			−1.01213			−0.506064	+	0.862496i	$0.668900\pi$
$140$	−0.927223	−	1.37441i	−0.0783647	−	0.116159i
$141$	1.50348	+	5.12037i	0.126616	+	0.431213i
$142$	−3.75134	+	5.12944i	−0.314806	+	0.430453i
$143$	−6.56329	−	4.21797i	−0.548850	−	0.352724i
$144$	−3.45809	−	2.01038i	−0.288174	−	0.167532i
$145$	−10.0417	+	1.44379i	−0.833922	+	0.119900i
$146$	0.851793	−	4.13720i	0.0704949	−	0.342397i
$147$	5.61926	−	3.61128i	0.463469	−	0.297853i
$148$	0.189441	+	8.49352i	0.0155720	+	0.698163i
$149$	2.34610	−	5.13724i	0.192200	−	0.420859i	−0.788858	−	0.614576i	$-0.789327\pi$
$149$	2.34610	−	5.13724i	0.192200	−	0.420859i	0.981057	+	0.193717i	$0.0620544\pi$
$150$	3.79856	+	1.36874i	0.310151	+	0.111757i
$151$	−12.7460	−	1.83259i	−1.03725	−	0.149134i	−0.397411	−	0.917641i	$-0.630091\pi$
$151$	−12.7460	−	1.83259i	−1.03725	−	0.149134i	−0.639842	+	0.768507i	$0.721000\pi$
$152$	−15.5487	+	16.6253i	−1.26116	+	1.34849i
$153$	0.514381	−	1.75182i	0.0415853	−	0.141626i
$154$	0.344532	+	1.50291i	0.0277632	+	0.121108i
$155$	−10.3179	+	8.94051i	−0.828753	+	0.718119i
$156$	3.19993	−	7.44168i	0.256199	−	0.595811i
$157$	−13.8968	+	16.0378i	−1.10909	+	1.27995i	−0.152564	+	0.988294i	$0.548753\pi$
$157$	−13.8968	+	16.0378i	−1.10909	+	1.27995i	−0.956522	+	0.291660i	$0.905793\pi$
$158$	−4.03162	−	10.4518i	−0.320739	−	0.831499i
$159$	−1.35982	−	2.97760i	−0.107841	−	0.236139i
$160$	−3.32330	−	7.58909i	−0.262730	−	0.599970i
$161$	2.71364	−	0.0687556i	0.213865	−	0.00541870i
$162$	0.116611	+	1.40940i	0.00916182	+	0.110733i
$163$	0.472452	+	1.03453i	0.0370053	+	0.0810303i	0.927232	−	0.374488i	$-0.122181\pi$
$163$	0.472452	+	1.03453i	0.0370053	+	0.0810303i	−0.890227	+	0.455518i	$0.849454\pi$
$164$	−4.12559	+	1.99645i	−0.322155	+	0.155896i
$165$	2.13206	+	1.84744i	0.165981	+	0.143823i
$166$	−16.7929	−	8.92798i	−1.30338	−	0.692946i
$167$	3.52126	−	3.05119i	0.272483	−	0.236108i	−0.507890	−	0.861422i	$-0.669574\pi$
$167$	3.52126	−	3.05119i	0.272483	−	0.236108i	0.780374	+	0.625314i	$0.215029\pi$
$168$	−1.48044	+	0.609321i	−0.114218	+	0.0470101i
$169$	3.26663	+	0.959170i	0.251280	+	0.0737823i
$170$	3.00185	−	2.29983i	0.230231	−	0.176389i
$171$	7.96608	+	1.14535i	0.609181	+	0.0875870i
$172$	−16.2976	−	4.39314i	−1.24268	−	0.334974i
$173$	1.50276	+	0.686287i	0.114253	+	0.0521774i	0.471721	−	0.881748i	$-0.343633\pi$
$173$	1.50276	+	0.686287i	0.114253	+	0.0521774i	−0.357469	+	0.933925i	$0.616360\pi$
$174$	−0.589860	+	9.77843i	−0.0447172	+	0.741301i
$175$	1.35946	−	0.873672i	0.102766	−	0.0660434i
$176$	0.343537	+	7.69734i	0.0258951	+	0.580209i
$177$	2.02452	+	14.0809i	0.152173	+	1.05838i
$178$	11.8815	+	11.6195i	0.890557	+	0.870916i
$179$	−11.1410	−	7.15989i	−0.832718	−	0.535155i	0.0534225	−	0.998572i	$-0.482987\pi$
$179$	−11.1410	−	7.15989i	−0.832718	−	0.535155i	−0.886141	+	0.463417i	$0.846623\pi$
$180$	−1.52827	+	2.49885i	−0.113910	+	0.186253i
$181$	−11.8915	+	3.49166i	−0.883887	+	0.259533i	−0.692012	−	0.721886i	$-0.743275\pi$
$181$	−11.8915	+	3.49166i	−0.883887	+	0.259533i	−0.191876	+	0.981419i	$0.561457\pi$
$182$	−1.58540	−	2.82801i	−0.117517	−	0.209626i
$183$	11.2705			0.833138
$184$	13.4012	+	2.09970i	0.987947	+	0.154792i
$185$	6.22122			0.457393
$186$	6.44662	+	11.4994i	0.472689	+	0.843177i
$187$	−3.37445	+	0.990827i	−0.246764	+	0.0724565i
$188$	9.10521	+	5.56866i	0.664065	+	0.406136i
$189$	0.476161	+	0.306010i	0.0346356	+	0.0222590i
$190$	11.9175	+	11.6547i	0.864588	+	0.845519i
$191$	0.343467	+	2.38886i	0.0248524	+	0.172852i	0.998467	−	0.0553452i	$-0.0176259\pi$
$191$	0.343467	+	2.38886i	0.0248524	+	0.172852i	−0.973615	+	0.228197i	$0.926717\pi$
$192$	−7.82475	+	1.66534i	−0.564702	+	0.120186i
$193$	13.3935	−	8.60750i	0.964088	−	0.619582i	0.0389612	−	0.999241i	$-0.487595\pi$
$193$	13.3935	−	8.60750i	0.964088	−	0.619582i	0.925126	+	0.379659i	$0.123959\pi$
$194$	−0.216231	+	3.58458i	−0.0155245	+	0.257358i
$195$	−5.39582	−	2.46419i	−0.386402	−	0.176464i
$196$	3.47697	−	12.8989i	0.248355	−	0.921347i
$197$	14.7550	+	2.12146i	1.05125	+	0.151147i	0.646218	−	0.763153i	$-0.276350\pi$
$197$	14.7550	+	2.12146i	1.05125	+	0.151147i	0.405036	+	0.914301i	$0.367259\pi$
$198$	2.16244	−	1.65672i	0.153678	−	0.117738i
$199$	−2.31157	−	0.678737i	−0.163863	−	0.0481144i	0.198772	−	0.980046i	$-0.436305\pi$
$199$	−2.31157	−	0.678737i	−0.163863	−	0.0481144i	−0.362635	+	0.931931i	$0.618123\pi$
$200$	7.46752	−	3.07349i	0.528033	−	0.217328i
$201$	−2.69935	+	2.33900i	−0.190397	+	0.164980i
$202$	10.6703	+	5.67293i	0.750763	+	0.399146i
$203$	2.96311	+	2.56755i	0.207970	+	0.180207i
$204$	−1.59060	−	3.28692i	−0.111364	−	0.230131i
$205$	1.39424	+	3.05295i	0.0973777	+	0.213227i
$206$	−1.69853	−	20.5290i	−0.118342	−	1.43032i
$207$	−2.10212	−	4.31058i	−0.146107	−	0.299606i
$208$	−5.25289	−	15.3258i	−0.364223	−	1.06265i
$209$	−6.43995	−	14.1015i	−0.445461	−	0.975423i
$210$	0.421911	+	1.09378i	0.0291146	+	0.0754781i
$211$	12.0975	−	13.9613i	0.832826	−	0.961133i	−0.166865	−	0.985980i	$-0.553364\pi$
$211$	12.0975	−	13.9613i	0.832826	−	0.961133i	0.999691	+	0.0248470i	$0.00790985\pi$
$212$	−6.01436	−	2.58618i	−0.413068	−	0.177620i
$213$	3.39599	−	2.94264i	0.232689	−	0.201626i
$214$	−6.29574	−	27.4631i	−0.430368	−	1.87734i
$215$	−3.48235	+	11.8598i	−0.237494	+	0.808830i
$216$	2.06577	+	1.93199i	0.140558	+	0.131455i
$217$	5.22261	+	0.750898i	0.354534	+	0.0509743i
$218$	7.29083	+	2.62711i	0.493797	+	0.177931i
$219$	−1.24076	+	2.71689i	−0.0838429	+	0.183590i
$220$	5.64084	−	0.125815i	0.380306	−	0.00848242i
$221$	6.22096	−	3.99797i	0.418467	−	0.268932i
$222$	1.21142	−	5.88391i	0.0813050	−	0.394902i
$223$	−13.7234	+	1.97313i	−0.918989	+	0.132131i	−0.585546	−	0.810639i	$-0.699120\pi$
$223$	−13.7234	+	1.97313i	−0.918989	+	0.132131i	−0.333443	+	0.942770i	$0.608211\pi$
$224$	−1.37551	+	2.89134i	−0.0919053	+	0.193186i
$225$	−2.40181	−	1.54355i	−0.160121	−	0.102903i
$226$	−4.59576	+	6.28406i	−0.305705	+	0.418010i
$227$	5.88604	+	20.0460i	0.390670	+	1.33050i	0.886760	+	0.462230i	$0.152950\pi$
$227$	5.88604	+	20.0460i	0.390670	+	1.33050i	−0.496090	+	0.868271i	$0.665231\pi$
$228$	13.3434	−	9.00193i	0.883688	−	0.596167i
$229$	9.64980			0.637677			0.318839	−	0.947809i	$-0.396707\pi$
$229$	9.64980			0.637677			0.318839	+	0.947809i	$0.396707\pi$
$230$	1.75602	−	9.77673i	0.115789	−	0.644659i
$231$		−	1.09028i		−	0.0717354i
$232$	12.2593	+	15.2831i	0.804862	+	1.00338i
$233$	−15.0398	+	4.41607i	−0.985287	+	0.289306i	−0.734405	−	0.678711i	$-0.762539\pi$
$233$	−15.0398	+	4.41607i	−0.985287	+	0.289306i	−0.250882	+	0.968018i	$0.580721\pi$
$234$	−3.38127	+	4.62343i	−0.221041	+	0.302243i
$235$	4.22550	−	6.57501i	0.275641	−	0.428906i
$236$	21.9122	+	18.1476i	1.42636	+	1.18131i
$237$	1.12732	+	7.84066i	0.0732271	+	0.509306i
$238$	−1.43145	−	0.294716i	−0.0927869	−	0.0191036i
$239$	−2.21866	−	3.45230i	−0.143513	−	0.223311i	0.762054	−	0.647513i	$-0.224191\pi$
$239$	−2.21866	−	3.45230i	−0.143513	−	0.223311i	−0.905567	+	0.424202i	$0.860554\pi$
$240$	1.09143	+	5.75570i	0.0704515	+	0.371529i
$241$	−5.22372	−	2.38559i	−0.336490	−	0.153670i	0.240003	−	0.970772i	$-0.422852\pi$
$241$	−5.22372	−	2.38559i	−0.336490	−	0.153670i	−0.576492	+	0.817103i	$0.695579\pi$
$242$	9.69858	+	3.49470i	0.623448	+	0.224648i
$243$	0.142315	−	0.989821i	0.00912950	−	0.0634971i
$244$	16.7019	−	15.1374i	1.06923	−	0.969072i
$245$	−9.38650	−	2.75612i	−0.599681	−	0.176082i
$246$	3.15891	−	0.724161i	0.201405	−	0.0461708i
$247$	21.3461	+	24.6347i	1.35822	+	1.56747i
$248$	24.9982	+	8.38270i	1.58739	+	0.532302i
$249$	10.1635	+	8.80670i	0.644084	+	0.558102i
$250$	−5.85520	−	15.1793i	−0.370316	−	0.960024i
$251$	20.5928	−	9.40440i	1.29980	−	0.593600i	0.359249	−	0.933242i	$-0.383033\pi$
$251$	20.5928	−	9.40440i	1.29980	−	0.593600i	0.940555	+	0.339641i	$0.110306\pi$
$252$	1.11663	−	0.186050i	0.0703414	−	0.0117201i
$253$	−4.79598	+	7.89549i	−0.301521	+	0.496385i
$254$	−2.65014	+	0.219267i	−0.166284	+	0.0137581i
$255$	−2.43233	+	1.11081i	−0.152319	+	0.0695616i
$256$	−9.35891	+	12.9773i	−0.584932	+	0.811082i
$257$	17.4329	−	20.1187i	1.08744	−	1.25497i	0.122505	−	0.992468i	$-0.460907\pi$
$257$	17.4329	−	20.1187i	1.08744	−	1.25497i	0.964932	−	0.262501i	$-0.0845472\pi$
$258$	10.5387	+	5.60292i	0.656108	+	0.348822i
$259$	−1.57450	−	1.81707i	−0.0978345	−	0.112907i
$260$	−11.3058	+	3.59540i	−0.701157	+	0.222977i
$261$	1.95155	−	6.64637i	0.120798	−	0.411400i
$262$	−1.99053	−	2.59814i	−0.122975	−	0.160514i
$263$	0.104897	−	0.729577i	0.00646825	−	0.0449877i	−0.986332	−	0.164772i	$-0.947311\pi$
$263$	0.104897	−	0.729577i	0.00646825	−	0.0449877i	0.992800	+	0.119784i	$0.0382203\pi$
$264$	0.979412	−	5.35950i	0.0602787	−	0.329855i
$265$	−1.99155	+	4.36090i	−0.122340	+	0.267888i
$266$	0.387901	−	6.43045i	0.0237837	−	0.394276i
$267$	−6.35319	−	9.88576i	−0.388809	−	0.604998i
$268$	−0.858703	+	7.09169i	−0.0524537	+	0.433194i
$269$	−6.57123	+	0.944801i	−0.400655	+	0.0576055i	−0.339697	−	0.940535i	$-0.610325\pi$
$269$	−6.57123	+	0.944801i	−0.400655	+	0.0576055i	−0.0609579	+	0.998140i	$0.519416\pi$
$270$	1.44815	−	1.48081i	0.0881314	−	0.0901190i
$271$	−13.0447	+	20.2980i	−0.792411	+	1.23302i	0.176181	+	0.984358i	$0.443626\pi$
$271$	−13.0447	+	20.2980i	−0.792411	+	1.23302i	−0.968592	+	0.248657i	$0.920011\pi$
$272$	−6.77181	−	2.73461i	−0.410601	−	0.165810i
$273$	0.645872	+	2.19964i	0.0390899	+	0.133128i
$274$	3.88774	+	6.93489i	0.234867	+	0.418952i
$275$			5.49952i			0.331634i
$276$	−8.90471	−	3.56457i	−0.536000	−	0.214562i
$277$			19.4944i			1.17130i	0.810563	+	0.585651i	$0.199161\pi$
$277$			19.4944i			1.17130i	−0.810563	+	0.585651i	$0.800839\pi$
$278$	14.7202	−	8.25223i	0.882860	−	0.494936i
$279$	−2.62628	−	8.94428i	−0.157231	−	0.535480i
$280$	2.09430	+	1.05423i	0.125158	+	0.0630021i
$281$	4.61964	−	7.18830i	0.275585	−	0.428818i	−0.675679	−	0.737196i	$-0.736150\pi$
$281$	4.61964	−	7.18830i	0.275585	−	0.428818i	0.951264	+	0.308377i	$0.0997860\pi$
$282$	−5.39571	−	5.27671i	−0.321310	−	0.314223i
$283$	14.1078	−	2.02840i	0.838623	−	0.120576i	0.290397	−	0.956906i	$-0.406213\pi$
$283$	14.1078	−	2.02840i	0.838623	−	0.120576i	0.548226	+	0.836330i	$0.315303\pi$
$284$	1.08032	−	8.92191i	0.0641050	−	0.529418i
$285$	−6.37244	−	9.91571i	−0.377471	−	0.587356i
$286$	11.0134	+	0.664356i	0.651235	+	0.0392842i
$287$	0.538833	−	1.17988i	0.0318063	−	0.0696461i
$288$	5.65616	+	0.0885180i	0.333293	+	0.00521597i
$289$	−1.94495	+	13.5274i	−0.114409	+	0.795731i
$290$	11.3890	−	8.72549i	0.668782	−	0.512378i
$291$	0.715401	−	2.43643i	0.0419375	−	0.142826i
$292$	1.81035	+	5.69268i	0.105943	+	0.333139i
$293$	0.341385	+	0.393980i	0.0199439	+	0.0230165i	0.765634	−	0.643277i	$-0.222425\pi$
$293$	0.341385	+	0.393980i	0.0199439	+	0.0230165i	−0.745690	+	0.666293i	$0.767880\pi$
$294$	−4.43446	+	8.34089i	−0.258623	+	0.486450i
$295$	13.6437	−	15.7456i	0.794365	−	0.916746i
$296$	−6.10746	−	10.3465i	−0.354989	−	0.601380i
$297$	−1.75218	+	0.800193i	−0.101672	+	0.0464319i
$298$	0.658572	+	7.95972i	0.0381501	+	0.461094i
$299$	4.99864	−	18.7701i	0.289079	−	1.08551i
$300$	−5.63244	+	0.938459i	−0.325189	+	0.0541819i
$301$	4.34529	−	1.98443i	0.250458	−	0.114380i
$302$	16.9907	−	6.55391i	0.977703	−	0.377135i
$303$	−6.45798	−	5.59587i	−0.371001	−	0.321474i
$304$	7.68333	−	31.2616i	0.440669	−	1.79298i
$305$	−10.8094	−	12.4747i	−0.618943	−	0.714298i
$306$	0.576950	+	2.51676i	0.0329820	+	0.143873i
$307$	−18.5127	−	5.43583i	−1.05658	−	0.310239i	−0.293105	−	0.956080i	$-0.594689\pi$
$307$	−18.5127	−	5.43583i	−1.05658	−	0.310239i	−0.763472	+	0.645841i	$0.776507\pi$
$308$	−1.46436	−	1.61571i	−0.0834397	−	0.0920638i
$309$	−2.07292	+	14.4175i	−0.117925	+	0.820183i
$310$	6.54519	−	18.1644i	0.371742	−	1.03167i
$311$	22.7107	+	10.3716i	1.28781	+	0.588122i	0.937328	−	0.348448i	$-0.113291\pi$
$311$	22.7107	+	10.3716i	1.28781	+	0.588122i	0.350480	+	0.936570i	$0.386018\pi$
$312$	1.19895	+	11.3929i	0.0678773	+	0.644998i
$313$	−2.71139	−	4.21901i	−0.153257	−	0.238473i	0.756132	−	0.654419i	$-0.227087\pi$
$313$	−2.71139	−	4.21901i	−0.153257	−	0.238473i	−0.909389	+	0.415946i	$0.863450\pi$
$314$	6.05193	−	29.3945i	0.341530	−	1.65883i
$315$	−0.117974	−	0.820528i	−0.00664709	−	0.0462315i
$316$	12.2014	+	10.1051i	0.686382	+	0.568458i
$317$	−6.98696	+	10.8719i	−0.392427	+	0.610628i	−0.980108	−	0.198464i	$-0.936405\pi$
$317$	−6.98696	+	10.8719i	−0.392427	+	0.610628i	0.587681	+	0.809093i	$0.300041\pi$
$318$	3.73665	+	2.73274i	0.209541	+	0.153245i
$319$	−12.8026	+	3.75918i	−0.716807	+	0.210473i
$320$	9.34789	+	7.06358i	0.522563	+	0.394866i
$321$			19.9231i			1.11200i
$322$	−3.29997	+	1.96145i	−0.183900	+	0.109308i
$323$	14.6939			0.817588
$324$	−1.11853	−	1.65798i	−0.0621406	−	0.0921099i
$325$	−3.25785	−	11.0952i	−0.180713	−	0.615453i
$326$	−1.29825	−	0.949454i	−0.0719033	−	0.0525854i
$327$	−4.60996	−	2.96264i	−0.254931	−	0.163834i
$328$	3.70863	−	5.31589i	0.204775	−	0.293521i
$329$	−2.98981	+	0.429870i	−0.164834	+	0.0236995i
$330$	−3.90771	−	0.804545i	−0.215112	−	0.0442887i
$331$	−5.96132	+	3.83111i	−0.327664	+	0.210577i	−0.694121	−	0.719858i	$-0.744207\pi$
$331$	−5.96132	+	3.83111i	−0.327664	+	0.210577i	0.366458	+	0.930435i	$0.380570\pi$
$332$	26.8897	−	0.599754i	1.47577	−	0.0329158i
$333$	−1.76461	+	3.86395i	−0.0966999	+	0.211743i
$334$	−2.23372	+	6.19908i	−0.122224	+	0.339199i
$335$	5.17782	+	0.744458i	0.282895	+	0.0406741i
$336$	1.40488	−	1.77546i	0.0766423	−	0.0968594i
$337$	−7.03019	+	23.9426i	−0.382959	+	1.30424i	0.512344	+	0.858780i	$0.328777\pi$
$337$	−7.03019	+	23.9426i	−0.382959	+	1.30424i	−0.895303	+	0.445458i	$0.853041\pi$
$338$	−4.69301	+	1.07584i	−0.255266	+	0.0585181i
$339$	4.16042	−	3.60502i	0.225963	−	0.195798i
$340$	−2.11259	+	4.91300i	−0.114571	+	0.266445i
$341$	−11.7589	+	13.5705i	−0.636778	+	0.734881i
$342$	−10.6190	+	4.09611i	−0.574208	+	0.221492i
$343$	3.21650	+	7.04315i	0.173675	+	0.380295i
$344$	23.1427	−	5.85141i	1.24777	−	0.315487i
$345$	−2.75504	+	6.46095i	−0.148326	+	0.347846i
$346$	−2.32840	+	0.192647i	−0.125175	+	0.0103568i
$347$	−1.55127	−	3.39681i	−0.0832765	−	0.182350i	0.863413	−	0.504498i	$-0.168322\pi$
$347$	−1.55127	−	3.39681i	−0.0832765	−	0.182350i	−0.946689	+	0.322148i	$0.895595\pi$
$348$	−6.03471	−	12.4705i	−0.323494	−	0.668490i
$349$	4.32566	+	3.74821i	0.231547	+	0.200637i	0.762905	−	0.646511i	$-0.223772\pi$
$349$	4.32566	+	3.74821i	0.231547	+	0.200637i	−0.531358	+	0.847148i	$0.678318\pi$
$350$	−1.07282	+	2.01790i	−0.0573448	+	0.107861i
$351$	3.06098	−	2.65235i	0.163383	−	0.141572i
$352$	−5.74694	−	9.25779i	−0.306313	−	0.493442i
$353$	12.3766	+	3.63409i	0.658739	+	0.193423i	0.593983	−	0.804478i	$-0.297555\pi$
$353$	12.3766	+	3.63409i	0.658739	+	0.193423i	0.0647564	+	0.997901i	$0.479373\pi$
$354$	−12.2352	−	15.9700i	−0.650292	−	0.848794i
$355$	−6.51410	−	0.936587i	−0.345733	−	0.0497089i
$356$	−22.6925	−	6.11691i	−1.20270	−	0.324196i
$357$	0.940029	+	0.429297i	0.0497516	+	0.0227208i
$358$	18.6949	+	1.12773i	0.988058	+	0.0596022i
$359$	−24.4026	+	15.6826i	−1.28792	+	0.827698i	−0.991843	−	0.127466i	$-0.959316\pi$
$359$	−24.4026	+	15.6826i	−1.28792	+	0.827698i	−0.296080	+	0.955163i	$0.595679\pi$
$360$	0.157163	−	4.13944i	0.00828324	−	0.218168i
$361$	6.51378	+	45.3043i	0.342831	+	2.38444i
$362$	12.2546	−	12.5309i	0.644085	−	0.658611i
$363$	−6.13237	−	3.94103i	−0.321866	−	0.206851i
$364$	3.91146	+	2.39221i	0.205016	+	0.125386i
$365$	4.19718	−	1.23240i	0.219690	−	0.0645069i
$366$	−13.9032	+	7.79419i	−0.726730	+	0.407409i
$367$	1.08903			0.0568466			0.0284233	−	0.999596i	$-0.490951\pi$
$367$	1.08903			0.0568466			0.0284233	+	0.999596i	$0.490951\pi$
$368$	−17.9836	+	6.67751i	−0.937461	+	0.348089i
$369$	−2.29163			−0.119298
$370$	−7.67444	+	4.30233i	−0.398975	+	0.223668i
$371$	1.77775	−	0.521993i	0.0922959	−	0.0271005i
$372$	−15.9050	−	9.72734i	−0.824636	−	0.504339i
$373$	−27.8967	−	17.9281i	−1.44443	−	0.928281i	−0.999464	−	0.0327359i	$-0.989578\pi$
$373$	−27.8967	−	17.9281i	−1.44443	−	0.928281i	−0.444970	−	0.895545i	$-0.646786\pi$
$374$	3.47747	−	3.55590i	0.179816	−	0.183871i
$375$	1.63722	+	11.3871i	0.0845459	+	0.588030i
$376$	−15.0832	−	0.572667i	−0.777854	−	0.0295330i
$377$	23.6022	−	15.1682i	1.21557	−	0.781202i
$378$	−0.799012	−	0.0481985i	−0.0410968	−	0.00247906i
$379$	4.12452	+	1.88360i	0.211862	+	0.0967543i	0.518520	−	0.855066i	$-0.326483\pi$
$379$	4.12452	+	1.88360i	0.211862	+	0.0967543i	−0.306657	+	0.951820i	$0.599211\pi$
$380$	−22.7612	−	6.13545i	−1.16763	−	0.314742i
$381$	1.86119	+	0.267599i	0.0953519	+	0.0137095i
$382$	−2.07574	−	2.70936i	−0.106204	−	0.138623i
$383$	−16.2175	−	4.76189i	−0.828676	−	0.243321i	−0.160228	−	0.987080i	$-0.551223\pi$
$383$	−16.2175	−	4.76189i	−0.828676	−	0.243321i	−0.668448	+	0.743759i	$0.733041\pi$
$384$	8.50086	−	7.46562i	0.433808	−	0.380978i
$385$	−1.20678	+	1.04568i	−0.0615031	+	0.0532927i
$386$	−10.5696	+	19.8805i	−0.537976	+	1.01189i
$387$	−6.37828	−	5.52681i	−0.324226	−	0.280943i
$388$	−2.21221	−	4.57145i	−0.112308	−	0.232080i
$389$	7.64451	+	16.7391i	0.387592	+	0.848709i	0.998379	+	0.0569135i	$0.0181259\pi$
$389$	7.64451	+	16.7391i	0.387592	+	0.848709i	−0.610787	+	0.791795i	$0.709147\pi$
$390$	8.36036	−	0.691721i	0.423343	−	0.0350266i
$391$	−4.91898	−	7.24386i	−0.248763	−	0.366338i
$392$	4.63114	+	18.3164i	0.233908	+	0.925120i
$393$	0.961421	+	2.10522i	0.0484973	+	0.106194i
$394$	−19.6688	+	7.58696i	−0.990900	+	0.382226i
$395$	7.59721	−	8.76765i	0.382257	−	0.441148i
$396$	−1.52185	+	3.53917i	−0.0764756	+	0.177850i
$397$	17.0333	−	14.7595i	0.854878	−	0.740756i	−0.112619	−	0.993638i	$-0.535924\pi$
$397$	17.0333	−	14.7595i	0.854878	−	0.740756i	0.967497	+	0.252882i	$0.0813786\pi$
$398$	3.32092	−	0.761298i	0.166462	−	0.0381604i
$399$	−1.28337	+	4.37076i	−0.0642488	+	0.218811i
$400$	−7.08637	+	8.95565i	−0.354318	+	0.447782i
$401$	−15.3190	−	2.20254i	−0.764994	−	0.109990i	−0.251238	−	0.967925i	$-0.580838\pi$
$401$	−15.3190	−	2.20254i	−0.764994	−	0.109990i	−0.513757	+	0.857936i	$0.671747\pi$
$402$	1.71234	−	4.75212i	0.0854037	−	0.237014i
$403$	15.6844	−	34.3441i	0.781296	−	1.71080i
$404$	−17.0860	+	0.381090i	−0.850061	+	0.0189599i
$405$	−1.23207	+	0.791805i	−0.0612222	+	0.0393451i
$406$	−5.43088	−	1.11814i	−0.269530	−	0.0554926i
$407$	8.09908	−	1.16447i	0.401456	−	0.0577207i
$408$	4.23525	+	2.95473i	0.209676	+	0.146281i
$409$	−22.5955	−	14.5213i	−1.11728	−	0.718030i	−0.154410	−	0.988007i	$-0.549348\pi$
$409$	−22.5955	−	14.5213i	−1.11728	−	0.718030i	−0.962867	+	0.269976i	$0.912984\pi$
$410$	−3.83121	−	2.80190i	−0.189210	−	0.138376i
$411$	−1.58382	−	5.39399i	−0.0781240	−	0.266066i
$412$	16.2923	+	24.1497i	0.802662	+	1.18977i
$413$	−8.05193			−0.396209
$414$	5.57417	+	3.86376i	0.273956	+	0.189893i
$415$		−	19.6958i		−	0.966829i
$416$	17.0786	+	15.2731i	0.837347	+	0.748824i
$417$	−11.4494	+	3.36186i	−0.560682	+	0.164631i
$418$	17.6963	+	12.9419i	0.865554	+	0.633010i
$419$	7.99647	−	12.4427i	0.390653	−	0.607868i	−0.589104	−	0.808057i	$-0.700519\pi$
$419$	7.99647	−	12.4427i	0.390653	−	0.607868i	0.979757	+	0.200189i	$0.0641556\pi$
$420$	−1.27688	−	1.05750i	−0.0623053	−	0.0516009i
$421$	−4.26801	−	29.6847i	−0.208010	−	1.44674i	−0.779639	−	0.626229i	$-0.784597\pi$
$421$	−4.26801	−	29.6847i	−0.208010	−	1.44674i	0.571629	−	0.820512i	$-0.306312\pi$
$422$	−5.26835	+	25.5886i	−0.256459	+	1.24563i
$423$	2.88515	+	4.48938i	0.140281	+	0.218281i
$424$	9.20776	−	0.968993i	0.447168	−	0.0470584i
$425$	−4.74162	−	2.16542i	−0.230002	−	0.105038i
$426$	−2.15426	+	5.97854i	−0.104374	+	0.289661i
$427$	−0.907862	+	6.31432i	−0.0439345	+	0.305571i
$428$	26.7587	+	29.5244i	1.29343	+	1.42712i
$429$	−7.48577	−	2.19802i	−0.361416	−	0.106121i
$430$	−3.90593	−	17.0384i	−0.188361	−	0.821663i
$431$	−6.01797	−	6.94510i	−0.289875	−	0.334534i	0.592069	−	0.805887i	$-0.298311\pi$
$431$	−6.01797	−	6.94510i	−0.289875	−	0.334534i	−0.881945	+	0.471353i	$0.843766\pi$
$432$	−3.88440	−	0.954689i	−0.186888	−	0.0459325i
$433$	19.6156	+	16.9970i	0.942666	+	0.816825i	0.983233	−	0.182352i	$-0.0583710\pi$
$433$	19.6156	+	16.9970i	0.942666	+	0.816825i	−0.0405670	+	0.999177i	$0.512916\pi$
$434$	−6.96186	+	2.68544i	−0.334180	+	0.128905i
$435$	−9.22822	+	4.21439i	−0.442459	+	0.202064i
$436$	−10.8107	+	1.80125i	−0.517739	+	0.0862640i
$437$	28.5200	−	26.0063i	1.36430	−	1.24405i
$438$	−0.348294	−	4.20959i	−0.0166421	−	0.201142i
$439$	27.1219	−	12.3862i	1.29446	−	0.591159i	0.355334	−	0.934739i	$-0.384367\pi$
$439$	27.1219	−	12.3862i	1.29446	−	0.591159i	0.939123	+	0.343581i	$0.111640\pi$
$440$	−6.87149	+	4.05617i	−0.327585	+	0.193371i
$441$	4.37423	−	5.04813i	0.208296	−	0.240387i
$442$	−4.90929	+	9.23401i	−0.233511	+	0.439217i
$443$	−4.48941	−	5.18105i	−0.213298	−	0.246159i	0.639011	−	0.769198i	$-0.279344\pi$
$443$	−4.48941	−	5.18105i	−0.213298	−	0.246159i	−0.852309	+	0.523038i	$0.824798\pi$
$444$	2.57467	+	8.09611i	0.122188	+	0.384224i
$445$	−4.84875	+	16.5133i	−0.229853	+	0.782806i
$446$	15.5646	−	11.9246i	0.737004	−	0.564646i
$447$	0.803738	−	5.59012i	0.0380155	−	0.264404i
$448$	−0.302712	−	4.51798i	−0.0143018	−	0.213455i
$449$	−5.03739	+	11.0303i	−0.237729	+	0.520554i	−0.990464	−	0.137769i	$-0.956007\pi$
$449$	−5.03739	+	11.0303i	−0.237729	+	0.520554i	0.752735	+	0.658323i	$0.228734\pi$
$450$	4.03031	+	0.243119i	0.189991	+	0.0114607i
$451$	2.38653	+	3.71351i	0.112377	+	0.174862i
$452$	1.32349	−	10.9302i	0.0622518	−	0.514113i
$453$	−12.7460	+	1.83259i	−0.598858	+	0.0861028i
$454$	−21.1240	−	20.6581i	−0.991396	−	0.969530i
$455$	1.81521	−	2.82453i	0.0850985	−	0.132416i
$456$	−10.2349	+	20.3324i	−0.479295	+	0.952153i
$457$	0.107754	+	0.366975i	0.00504050	+	0.0171664i	0.961975	−	0.273138i	$-0.0880616\pi$
$457$	0.107754	+	0.366975i	0.00504050	+	0.0171664i	−0.956934	+	0.290304i	$0.906243\pi$
$458$	−11.9039	+	6.67340i	−0.556233	+	0.311827i
$459$		−	1.82578i		−	0.0852201i
$460$	4.59496	+	13.2749i	0.214241	+	0.618945i
$461$			9.98376i			0.464990i	0.972598	+	0.232495i	$0.0746889\pi$
$461$			9.98376i			0.464990i	−0.972598	+	0.232495i	$0.925311\pi$
$462$	0.753995	+	1.34497i	0.0350790	+	0.0625734i
$463$	−4.24926	−	14.4716i	−0.197480	−	0.672554i	−0.997375	−	0.0724142i	$-0.976930\pi$
$463$	−4.24926	−	14.4716i	−0.197480	−	0.672554i	0.799895	−	0.600140i	$-0.204889\pi$
$464$	−25.6921	−	10.3751i	−1.19273	−	0.481650i
$465$	−7.38112	+	11.4852i	−0.342291	+	0.532615i
$466$	15.4989	−	15.8485i	0.717975	−	0.734167i
$467$	−22.7112	+	3.26537i	−1.05095	+	0.151103i	−0.646078	−	0.763271i	$-0.723592\pi$
$467$	−22.7112	+	3.26537i	−1.05095	+	0.151103i	−0.404869	+	0.914375i	$0.632683\pi$
$468$	0.973743	−	8.04177i	0.0450113	−	0.371731i
$469$	−1.09299	−	1.70073i	−0.0504696	−	0.0785323i
$470$	−0.665542	+	11.0331i	−0.0306992	+	0.508917i
$471$	−8.81553	+	19.3033i	−0.406198	+	0.889449i
$472$	−39.5808	−	7.23312i	−1.82185	−	0.332931i
$473$	−2.31360	+	16.0914i	−0.106379	+	0.739885i
$474$	−6.81292	−	8.89257i	−0.312928	−	0.408449i
$475$	6.47347	−	22.0466i	0.297023	−	1.01157i
$476$	1.96963	−	0.626370i	0.0902780	−	0.0287096i
$477$	−2.14363	−	2.47388i	−0.0981500	−	0.113271i
$478$	5.12438	+	2.72439i	0.234384	+	0.124611i
$479$	−3.05371	+	3.52416i	−0.139527	+	0.161023i	−0.821212	−	0.570622i	$-0.806702\pi$
$479$	−3.05371	+	3.52416i	−0.139527	+	0.161023i	0.681685	+	0.731646i	$0.261247\pi$
$480$	−5.32678	−	6.34540i	−0.243133	−	0.289626i
$481$	−15.6500	+	7.14711i	−0.713578	+	0.325880i
$482$	8.09372	−	0.669659i	0.368659	−	0.0305021i
$483$	2.58434	−	0.830490i	0.117592	−	0.0377886i
$484$	−14.3809	+	2.39610i	−0.653676	+	0.108913i
$485$	−3.38289	+	1.54491i	−0.153609	+	0.0701509i
$486$	0.508961	+	1.31945i	0.0230869	+	0.0598517i
$487$	32.7846	+	28.4080i	1.48561	+	1.28729i	0.863488	+	0.504369i	$0.168275\pi$
$487$	32.7846	+	28.4080i	1.48561	+	1.28729i	0.622122	+	0.782920i	$0.286271\pi$
$488$	−10.1350	+	30.2237i	−0.458789	+	1.36816i
$489$	0.744774	+	0.859515i	0.0336798	+	0.0388686i
$490$	13.4851	−	3.09138i	0.609196	−	0.139654i
$491$	15.2216	+	4.46946i	0.686941	+	0.201704i	0.606533	−	0.795058i	$-0.292560\pi$
$491$	15.2216	+	4.46946i	0.686941	+	0.201704i	0.0804073	+	0.996762i	$0.474378\pi$
$492$	−3.39601	+	3.07789i	−0.153104	+	0.138762i
$493$	1.79987	−	12.5184i	0.0810621	−	0.563799i
$494$	−43.3687	−	15.6271i	−1.95125	−	0.703097i
$495$	2.56618	+	1.17194i	0.115341	+	0.0526747i
$496$	−36.6347	+	6.94688i	−1.64495	+	0.311924i
$497$	1.37507	+	2.13965i	0.0616803	+	0.0959764i
$498$	−18.6279	−	3.83524i	−0.834737	−	0.171861i
$499$	−1.30200	−	9.05560i	−0.0582855	−	0.405384i	−0.997989	−	0.0633932i	$-0.979808\pi$
$499$	−1.30200	−	9.05560i	−0.0582855	−	0.405384i	0.939703	−	0.341991i	$-0.111101\pi$
$500$	17.7203	+	14.6759i	0.792476	+	0.656324i
$501$	2.51901	−	3.91965i	0.112541	−	0.175117i
$502$	−18.8994	+	25.8423i	−0.843520	+	1.15340i
$503$	−17.0008	+	4.99188i	−0.758027	+	0.222577i	−0.637834	−	0.770174i	$-0.720170\pi$
$503$	−17.0008	+	4.99188i	−0.758027	+	0.222577i	−0.120193	+	0.992751i	$0.538351\pi$
$504$	−1.24881	+	1.00173i	−0.0556262	+	0.0446205i
$505$			12.5149i			0.556907i
$506$	0.456091	−	13.0565i	0.0202757	−	0.580432i
$507$	3.40454			0.151201
$508$	3.11755	−	2.10321i	0.138319	−	0.0933148i
$509$	−11.3977	−	38.8170i	−0.505194	−	1.72053i	−0.677532	−	0.735493i	$-0.736950\pi$
$509$	−11.3977	−	38.8170i	−0.505194	−	1.72053i	0.172338	−	0.985038i	$-0.444868\pi$
$510$	2.23232	−	3.05239i	0.0988487	−	0.135162i
$511$	−1.42220	−	0.913992i	−0.0629144	−	0.0404326i
$512$	2.57051	−	22.4809i	0.113601	−	0.993526i
$513$	7.96608	−	1.14535i	0.351711	−	0.0505684i
$514$	−7.59188	+	36.8741i	−0.334864	+	1.62645i
$515$	17.9461	−	11.5332i	0.790799	−	0.508216i
$516$	−16.8751	+	0.376387i	−0.742887	+	0.0165695i
$517$	4.27026	−	9.35057i	0.187806	−	0.411238i
$518$	3.19889	+	1.15266i	0.140551	+	0.0506451i
$519$	1.63523	+	0.235111i	0.0717788	+	0.0103202i
$520$	11.4603	−	12.2539i	0.502568	−	0.537368i
$521$	0.274420	−	0.934590i	0.0120226	−	0.0409451i	−0.953263	−	0.302141i	$-0.902299\pi$
$521$	0.274420	−	0.934590i	0.0120226	−	0.0409451i	0.965286	+	0.261196i	$0.0841168\pi$
$522$	2.18894	+	9.54852i	0.0958071	+	0.417927i
$523$	−17.5312	+	15.1909i	−0.766586	+	0.664250i	−0.947682	−	0.319215i	$-0.896581\pi$
$523$	−17.5312	+	15.1909i	−0.766586	+	0.664250i	0.181097	+	0.983465i	$0.442035\pi$
$524$	4.25227	+	1.82848i	0.185761	+	0.0798774i
$525$	1.05825	−	1.22129i	0.0461858	−	0.0533013i
$526$	0.375144	+	0.972543i	0.0163571	+	0.0424049i
$527$	−7.07024	−	15.4817i	−0.307985	−	0.674392i
$528$	2.49821	+	7.28876i	0.108721	+	0.317202i
$529$	−22.3682	−	5.35396i	−0.972529	−	0.232781i
$530$	−0.559048	−	6.75684i	−0.0242835	−	0.293498i
$531$	5.90956	+	12.9401i	0.256453	+	0.561554i
$532$	3.96851	+	8.20080i	0.172057	+	0.355550i
$533$	−7.01463	−	6.07821i	−0.303837	−	0.263277i
$534$	14.6738	+	7.80138i	0.634998	+	0.337599i
$535$	22.0518	−	19.1080i	0.953383	−	0.826111i
$536$	−3.84503	−	9.34210i	−0.166080	−	0.403517i
$537$	−12.7069	−	3.73108i	−0.548343	−	0.161008i
$538$	7.45283	−	5.70989i	0.321314	−	0.246171i
$539$	−12.7357	−	1.83111i	−0.548564	−	0.0788716i
$540$	−0.762358	+	2.82819i	−0.0328066	+	0.121706i
$541$	16.2342	+	7.41390i	0.697962	+	0.318748i	0.732608	−	0.680651i	$-0.238303\pi$
$541$	16.2342	+	7.41390i	0.697962	+	0.318748i	−0.0346458	+	0.999400i	$0.511030\pi$
$542$	2.05462	−	34.0606i	0.0882537	−	1.46303i
$543$	−10.4261	+	6.70044i	−0.447426	+	0.287543i
$544$	10.2448	−	1.30970i	0.439242	−	0.0561530i
$545$	1.14217	+	7.94395i	0.0489251	+	0.340281i
$546$	−2.31792	−	2.26680i	−0.0991977	−	0.0970099i
$547$	−23.5743	−	15.1503i	−1.00797	−	0.647780i	−0.0710997	−	0.997469i	$-0.522651\pi$
$547$	−23.5743	−	15.1503i	−1.00797	−	0.647780i	−0.936866	+	0.349689i	$0.886287\pi$
$548$	−9.59176	−	5.86623i	−0.409740	−	0.250593i
$549$	10.8139	−	3.17526i	0.461528	−	0.135517i
$550$	−3.80324	−	6.78417i	−0.162171	−	0.289278i
$551$	55.7482			2.37495
$552$	13.4499	−	1.76089i	0.572465	−	0.0749486i
$553$	−4.48356			−0.190660
$554$	−13.4815	−	24.0481i	−0.572773	−	1.02170i
$555$	5.96921	−	1.75272i	0.253379	−	0.0743988i
$556$	−12.4518	+	20.3598i	−0.528075	+	0.863446i
$557$	32.8226	+	21.0938i	1.39074	+	0.893774i	0.999647	−	0.0265773i	$-0.00846082\pi$
$557$	32.8226	+	21.0938i	1.39074	+	0.893774i	0.391093	+	0.920351i	$0.372097\pi$
$558$	9.42525	+	9.21737i	0.399002	+	0.390202i
$559$	−4.86472	−	33.8349i	−0.205756	−	1.43106i
$560$	−3.31257	+	0.147842i	−0.139981	+	0.00624746i
$561$	−2.95861	+	1.90138i	−0.124913	+	0.0802765i
$562$	−0.727622	+	12.0622i	−0.0306929	+	0.508812i
$563$	−19.7361	−	9.01319i	−0.831779	−	0.379861i	−0.0464355	−	0.998921i	$-0.514786\pi$
$563$	−19.7361	−	9.01319i	−0.831779	−	0.379861i	−0.785343	+	0.619061i	$0.787513\pi$
$564$	10.3053	+	2.77785i	0.433929	+	0.116969i
$565$	−7.98041	−	1.14741i	−0.335738	−	0.0482719i
$566$	−16.0005	+	12.2586i	−0.672552	+	0.515267i
$567$	0.543086	+	0.159465i	0.0228075	+	0.00669688i
$568$	4.83735	+	11.7531i	0.202971	+	0.493149i
$569$	−29.9876	+	25.9844i	−1.25715	+	1.08932i	−0.264998	+	0.964249i	$0.585371\pi$
$569$	−29.9876	+	25.9844i	−1.25715	+	1.08932i	−0.992148	+	0.125073i	$0.960083\pi$
$570$	14.7183	+	7.82503i	0.616481	+	0.327754i
$571$	6.07758	+	5.26626i	0.254339	+	0.220386i	0.772693	−	0.634780i	$-0.218909\pi$
$571$	6.07758	+	5.26626i	0.254339	+	0.220386i	−0.518354	+	0.855166i	$0.673455\pi$
$572$	−14.0455	+	6.79685i	−0.587270	+	0.284191i
$573$	1.00258	+	2.19533i	0.0418832	+	0.0917114i
$574$	0.151255	+	1.82812i	0.00631328	+	0.0763044i
$575$	−13.0357	+	4.18909i	−0.543628	+	0.174697i
$576$	−7.03861	+	3.80237i	−0.293275	+	0.158432i
$577$	15.2130	+	33.3119i	0.633326	+	1.38679i	0.905419	+	0.424520i	$0.139557\pi$
$577$	15.2130	+	33.3119i	0.633326	+	1.38679i	−0.272093	+	0.962271i	$0.587716\pi$
$578$	−6.95573	−	18.0324i	−0.289320	−	0.750047i
$579$	10.4260	−	12.0322i	0.433289	−	0.500042i
$580$	−8.01513	+	18.6398i	−0.332810	+	0.773976i
$581$	−5.75267	+	4.98472i	−0.238661	+	0.206801i
$582$	0.802421	+	3.50030i	0.0332614	+	0.145092i
$583$	−1.77644	+	6.05000i	−0.0735726	+	0.250565i
$584$	−6.17004	−	5.77048i	−0.255318	−	0.238784i
$585$	−5.87149	−	0.844193i	−0.242756	−	0.0349031i
$586$	−0.693590	−	0.249922i	−0.0286519	−	0.0103242i
$587$	−4.67596	+	10.2389i	−0.192997	+	0.422605i	−0.981248	−	0.192749i	$-0.938260\pi$
$587$	−4.67596	+	10.2389i	−0.192997	+	0.422605i	0.788251	+	0.615354i	$0.210987\pi$
$588$	−0.297894	−	13.3559i	−0.0122849	−	0.550789i
$589$	63.1129	−	40.5602i	2.60052	−	1.67125i
$590$	−5.94169	+	28.8591i	−0.244616	+	1.18811i
$591$	14.7550	−	2.12146i	0.606942	−	0.0872650i
$592$	14.6893	+	8.53973i	0.603728	+	0.350981i
$593$	11.7586	+	7.55678i	0.482867	+	0.310320i	0.759331	−	0.650704i	$-0.225526\pi$
$593$	11.7586	+	7.55678i	0.482867	+	0.310320i	−0.276464	+	0.961024i	$0.589163\pi$
$594$	1.60809	−	2.19884i	0.0659808	−	0.0902197i
$595$	−0.426405	−	1.45220i	−0.0174809	−	0.0595344i
$596$	−6.31702	−	9.36360i	−0.258755	−	0.383548i
$597$	−2.40915			−0.0986001
$598$	6.81436	+	26.6115i	0.278660	+	1.08823i
$599$		−	41.3282i		−	1.68862i	−0.535853	−	0.844311i	$-0.680010\pi$
$599$		−	41.3282i		−	1.68862i	0.535853	−	0.844311i	$-0.319990\pi$
$600$	6.29913	−	5.05283i	0.257161	−	0.206281i
$601$	31.8249	−	9.34464i	1.29817	−	0.381176i	0.441599	−	0.897213i	$-0.354411\pi$
$601$	31.8249	−	9.34464i	1.29817	−	0.381176i	0.856566	+	0.516037i	$0.172593\pi$
$602$	−3.98796	+	5.45299i	−0.162537	+	0.222247i
$603$	−1.93103	+	3.00474i	−0.0786377	+	0.122363i
$604$	−16.4271	+	19.8349i	−0.668410	+	0.807069i
$605$	1.51936	+	10.5674i	0.0617708	+	0.429625i
$606$	11.8364	+	2.43695i	0.480820	+	0.0989943i
$607$	−16.9659	−	26.3994i	−0.688623	−	1.07152i	−0.992902	−	0.118935i	$-0.962052\pi$
$607$	−16.9659	−	26.3994i	−0.688623	−	1.07152i	0.304279	−	0.952583i	$-0.401584\pi$
$608$	12.1411	+	43.8775i	0.492388	+	1.77947i
$609$	3.56645	+	1.62874i	0.144520	+	0.0660000i
$610$	21.9613	+	7.91335i	0.889188	+	0.320402i
$611$	−3.07604	+	21.3943i	−0.124443	+	0.865522i
$612$	−2.45220	−	2.70566i	−0.0991245	−	0.109370i
$613$	−1.40218	−	0.411717i	−0.0566334	−	0.0166291i	0.253293	−	0.967390i	$-0.418486\pi$
$613$	−1.40218	−	0.411717i	−0.0566334	−	0.0166291i	−0.309927	+	0.950760i	$0.600304\pi$
$614$	26.5963	−	6.09704i	1.07334	−	0.246056i
$615$	2.19788	+	2.53648i	0.0886269	+	0.102281i
$616$	2.92378	+	0.980438i	0.117803	+	0.0395030i
$617$	4.82937	+	4.18468i	0.194423	+	0.168469i	0.746632	−	0.665237i	$-0.231670\pi$
$617$	4.82937	+	4.18468i	0.194423	+	0.168469i	−0.552209	+	0.833706i	$0.686215\pi$
$618$	−7.41340	−	19.2189i	−0.298211	−	0.773096i
$619$	39.4288	−	18.0065i	1.58478	−	0.723743i	0.588382	−	0.808583i	$-0.299765\pi$
$619$	39.4288	−	18.0065i	1.58478	−	0.723743i	0.996395	+	0.0848393i	$0.0270377\pi$
$620$	4.48762	+	26.9338i	0.180227	+	1.08169i
$621$	−3.23140	−	3.54374i	−0.129672	−	0.142205i
$622$	−35.1884	+	2.91142i	−1.41093	+	0.116737i
$623$	6.05028	−	2.76307i	0.242400	−	0.110700i
$624$	−9.35789	−	13.2251i	−0.374615	−	0.529427i
$625$	1.68530	−	1.94494i	0.0674121	−	0.0777977i
$626$	6.26244	+	3.32945i	0.250298	+	0.133072i
$627$	−10.1519	−	11.7160i	−0.405430	−	0.467891i
$628$	12.8624	+	40.4461i	0.513265	+	1.61397i
$629$	−2.18500	+	7.44142i	−0.0871216	+	0.296709i
$630$	0.712975	+	0.930610i	0.0284056	+	0.0370764i
$631$	3.17254	−	22.0655i	0.126297	−	0.878414i	−0.823894	−	0.566744i	$-0.808203\pi$
$631$	3.17254	−	22.0655i	0.126297	−	0.878414i	0.950191	−	0.311669i	$-0.100888\pi$
$632$	−22.0398	−	4.02762i	−0.876696	−	0.160210i
$633$	7.67413	−	16.8040i	0.305019	−	0.667899i
$634$	1.10049	−	18.2434i	0.0437060	−	0.724538i
$635$	−1.48886	−	2.31671i	−0.0590835	−	0.0919357i
$636$	−6.49935	−	0.786979i	−0.257716	−	0.0312057i
$637$	26.7788	−	3.85021i	1.06101	−	0.152551i
$638$	13.1935	−	13.4910i	0.522334	−	0.534114i
$639$	2.42939	−	3.78020i	0.0961052	−	0.149543i
$640$	−16.4164	−	2.24896i	−0.648914	−	0.0888981i
$641$	1.31135	+	4.46605i	0.0517952	+	0.176398i	0.981328	−	0.192341i	$-0.0616078\pi$
$641$	1.31135	+	4.46605i	0.0517952	+	0.176398i	−0.929533	+	0.368739i	$0.879790\pi$
$642$	−13.7780	−	24.5770i	−0.543773	−	0.969975i
$643$			41.9498i			1.65434i	0.561954	+	0.827169i	$0.310050\pi$
$643$			41.9498i			1.65434i	−0.561954	+	0.827169i	$0.689950\pi$
$644$	2.71436	−	4.70175i	0.106961	−	0.185275i
$645$			12.3605i			0.486693i
$646$	−18.1262	+	10.1617i	−0.713166	+	0.399805i
$647$	10.9158	+	37.1757i	0.429143	+	1.46153i	0.836353	+	0.548191i	$0.184683\pi$
$647$	10.9158	+	37.1757i	0.429143	+	1.46153i	−0.407210	+	0.913334i	$0.633498\pi$
$648$	2.52640	+	1.27174i	0.0992462	+	0.0499586i
$649$	14.8147	−	23.0522i	0.581530	−	0.904878i
$650$	11.6919	+	11.4340i	0.458592	+	0.448478i
$651$	5.22261	−	0.750898i	0.204690	−	0.0294300i
$652$	2.25811	+	0.273425i	0.0884344	+	0.0107081i
$653$	−12.9045	−	20.0797i	−0.504990	−	0.785780i	0.491376	−	0.870947i	$-0.336494\pi$
$653$	−12.9045	−	20.0797i	−0.504990	−	0.785780i	−0.996367	+	0.0851670i	$0.972858\pi$
$654$	7.73564	+	0.466634i	0.302488	+	0.0182468i
$655$	1.40807	−	3.08323i	0.0550177	−	0.120472i
$656$	−0.898695	+	9.12237i	−0.0350881	+	0.356169i
$657$	−0.425066	+	2.95640i	−0.0165834	+	0.115340i
$658$	3.39093	−	2.59791i	0.132192	−	0.101277i
$659$	−4.01343	+	13.6685i	−0.156341	+	0.532449i	−0.999990	−	0.00444610i	$-0.998585\pi$
$659$	−4.01343	+	13.6685i	−0.156341	+	0.532449i	0.843649	+	0.536895i	$0.180403\pi$
$660$	5.37690	−	1.70993i	0.209296	−	0.0665588i
$661$	4.48617	+	5.17731i	0.174492	+	0.201374i	0.836258	−	0.548336i	$-0.184738\pi$
$661$	4.48617	+	5.17731i	0.174492	+	0.201374i	−0.661767	+	0.749710i	$0.730193\pi$
$662$	4.70440	−	8.84862i	0.182842	−	0.343911i
$663$	4.84261	−	5.58867i	0.188071	−	0.217046i
$664$	−32.7562	+	19.3357i	−1.27119	+	0.750369i
$665$	6.06862	−	2.77145i	0.235331	−	0.107472i
$666$	−0.495342	−	5.98687i	−0.0191941	−	0.231986i
$667$	−18.6625	−	27.4830i	−0.722615	−	1.06415i
$668$	−1.53152	−	9.19188i	−0.0592564	−	0.355645i
$669$	−12.6116	+	5.75954i	−0.487594	+	0.222677i
$670$	−6.90215	+	2.66241i	−0.266653	+	0.102858i
$671$	−16.4071	−	14.2169i	−0.633391	−	0.548836i
$672$	−0.505209	+	3.16175i	−0.0194888	+	0.121967i
$673$	3.69020	+	4.25872i	0.142247	+	0.164162i	0.822402	−	0.568906i	$-0.192633\pi$
$673$	3.69020	+	4.25872i	0.142247	+	0.164162i	−0.680156	+	0.733068i	$0.738088\pi$
$674$	−7.88534	−	34.3972i	−0.303732	−	1.32493i
$675$	−2.73939	−	0.804358i	−0.105439	−	0.0309598i
$676$	5.04525	−	4.57264i	0.194048	−	0.175871i
$677$	−5.08342	+	35.3560i	−0.195372	+	1.35884i	0.622129	+	0.782914i	$0.286268\pi$
$677$	−5.08342	+	35.3560i	−0.195372	+	1.35884i	−0.817501	+	0.575927i	$0.804641\pi$
$678$	−2.63917	+	7.32429i	−0.101357	+	0.281288i
$679$	1.30739	+	0.597065i	0.0501730	+	0.0229132i
$680$	−0.791548	−	7.52161i	−0.0303545	−	0.288441i
$681$	11.2952	+	17.5757i	0.432834	+	0.673503i
$682$	5.12088	−	24.8723i	0.196089	−	0.952411i
$683$	5.88976	+	40.9642i	0.225366	+	1.56745i	0.717265	+	0.696800i	$0.245394\pi$
$683$	5.88976	+	40.9642i	0.225366	+	1.56745i	−0.491900	+	0.870652i	$0.663697\pi$
$684$	10.2668	−	12.3966i	0.392559	−	0.473994i
$685$	−4.45130	+	6.92635i	−0.170075	+	0.264642i
$686$	−8.83860	−	6.46398i	−0.337459	−	0.246796i
$687$	9.25892	−	2.71866i	0.353250	−	0.103724i
$688$	−24.5021	+	23.2228i	−0.934132	+	0.885360i
$689$		−	13.2581i		−	0.505095i
$690$	−1.06953	−	9.87543i	−0.0407164	−	0.375951i
$691$	40.5888			1.54407			0.772034	−	0.635581i	$-0.219239\pi$
$691$	40.5888			1.54407			0.772034	+	0.635581i	$0.219239\pi$
$692$	2.73906	−	1.84787i	0.104124	−	0.0702454i
$693$	−0.307169	−	1.04612i	−0.0116684	−	0.0397388i
$694$	4.26272	+	3.11748i	0.161811	+	0.118338i
$695$	14.7021	+	9.44846i	0.557682	+	0.358400i
$696$	16.0684	+	11.2102i	0.609073	+	0.424920i
$697$	−4.14143	+	0.595447i	−0.156868	+	0.0225542i
$698$	−7.92820	−	1.63231i	−0.300087	−	0.0617838i
$699$	−13.1864	+	8.47438i	−0.498755	+	0.320530i
$700$	−0.0720690	−	3.23118i	−0.00272395	−	0.122127i
$701$	5.92583	−	12.9758i	0.223816	−	0.490088i	−0.764097	−	0.645102i	$-0.776815\pi$
$701$	5.92583	−	12.9758i	0.223816	−	0.490088i	0.987912	+	0.155014i	$0.0495423\pi$
$702$	−1.94174	+	5.38876i	−0.0732862	+	0.203386i
$703$	−33.8384	−	4.86523i	−1.27624	−	0.183496i
$704$	13.4917	+	7.44599i	0.508487	+	0.280631i
$705$	2.20194	−	7.49913i	0.0829300	−	0.282434i
$706$	−17.7808	+	4.07614i	−0.669190	+	0.153408i
$707$	3.65530	−	3.16734i	0.137472	−	0.119120i
$708$	26.1374	+	11.2391i	0.982302	+	0.422390i
$709$	−11.9137	+	13.7491i	−0.447428	+	0.516359i	−0.933996	−	0.357283i	$-0.883703\pi$
$709$	−11.9137	+	13.7491i	−0.447428	+	0.516359i	0.486568	+	0.873643i	$0.338248\pi$
$710$	8.68345	−	3.34952i	0.325884	−	0.125705i
$711$	3.29062	+	7.20546i	0.123408	+	0.270226i
$712$	32.2234	−	8.14739i	1.20762	−	0.305336i
$713$	−41.1235	−	17.5356i	−1.54009	−	0.656715i
$714$	−1.45649	+	0.120508i	−0.0545079	+	0.00450988i
$715$	4.74664	+	10.3937i	0.177514	+	0.388702i
$716$	−23.8418	+	11.5375i	−0.891010	+	0.431176i
$717$	−3.10141	−	2.68739i	−0.115824	−	0.100362i
$718$	19.2574	−	36.2218i	0.718682	−	1.35179i
$719$	23.7725	−	20.5990i	0.886566	−	0.768214i	−0.0870981	−	0.996200i	$-0.527759\pi$
$719$	23.7725	−	20.5990i	0.886566	−	0.768214i	0.973665	+	0.227986i	$0.0732139\pi$
$720$	2.66879	+	5.21507i	0.0994598	+	0.194354i
$721$	−7.91047	−	2.32272i	−0.294601	−	0.0865027i
$722$	−39.3659	−	51.3824i	−1.46505	−	1.91225i
$723$	−5.68423	−	0.817268i	−0.211399	−	0.0303945i
$724$	−6.45125	+	23.9328i	−0.239759	+	0.889455i
$725$	−17.9896	−	8.21557i	−0.668116	−	0.305119i
$726$	10.2903	+	0.620737i	0.381909	+	0.0230377i
$727$	11.7226	−	7.53368i	0.434769	−	0.279409i	−0.304895	−	0.952386i	$-0.598621\pi$
$727$	11.7226	−	7.53368i	0.434769	−	0.279409i	0.739663	+	0.672977i	$0.234985\pi$
$728$	−6.47950	−	0.246009i	−0.240146	−	0.00911770i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	−4.32533	+	4.42287i	−0.160087	+	0.163698i
$731$	−12.9629	−	8.33072i	−0.479448	−	0.308123i
$732$	11.7607	−	19.2297i	0.434688	−	0.710750i
$733$	−37.4218	+	10.9880i	−1.38221	+	0.405853i	−0.886537	−	0.462658i	$-0.846896\pi$
$733$	−37.4218	+	10.9880i	−1.38221	+	0.405853i	−0.495670	+	0.868511i	$0.665078\pi$
$734$	−1.34341	+	0.753124i	−0.0495862	+	0.0277983i
$735$	−9.78277			−0.360843
$736$	17.5666	−	20.6740i	0.647512	−	0.762055i
$737$	6.88008			0.253431
$738$	2.82694	−	1.58480i	0.104061	−	0.0583372i
$739$	−23.4551	+	6.88703i	−0.862808	+	0.253343i	−0.683054	−	0.730368i	$-0.739349\pi$
$739$	−23.4551	+	6.88703i	−0.862808	+	0.253343i	−0.179755	+	0.983711i	$0.557530\pi$
$740$	6.49181	−	10.6146i	0.238644	−	0.390202i
$741$	27.4218	+	17.6229i	1.00737	+	0.647395i
$742$	−1.83202	+	1.87334i	−0.0672557	+	0.0687725i
$743$	1.21978	+	8.48373i	0.0447492	+	0.311238i	0.999886	+	0.0150739i	$0.00479836\pi$
$743$	1.21978	+	8.48373i	0.0447492	+	0.311238i	−0.955137	+	0.296164i	$0.904293\pi$
$744$	26.3473	+	1.00034i	0.965939	+	0.0366741i
$745$	−6.95826	+	4.47180i	−0.254931	+	0.163834i
$746$	46.8114	+	2.82378i	1.71389	+	0.103386i
$747$	12.2329	+	5.58659i	0.447579	+	0.204403i
$748$	−1.83067	+	6.79141i	−0.0669359	+	0.248318i
$749$	−11.1620	−	1.60485i	−0.407849	−	0.0586399i
$750$	−9.89453	−	12.9148i	−0.361297	−	0.471583i
$751$	−12.6722	−	3.72091i	−0.462417	−	0.135778i	0.0422224	−	0.999108i	$-0.486556\pi$
$751$	−12.6722	−	3.72091i	−0.462417	−	0.135778i	−0.504639	+	0.863330i	$0.668374\pi$
$752$	19.0025	−	9.72444i	0.692949	−	0.354614i
$753$	17.1091	−	14.8251i	0.623490	−	0.540257i
$754$	−18.6257	+	35.0336i	−0.678310	+	1.27585i
$755$	14.2529	+	12.3502i	0.518716	+	0.449470i
$756$	1.01899	−	0.493106i	0.0370602	−	0.0179341i
$757$	−9.32311	−	20.4148i	−0.338854	−	0.741988i	0.661111	−	0.750288i	$-0.270085\pi$
$757$	−9.32311	−	20.4148i	−0.338854	−	0.741988i	−0.999966	+	0.00830040i	$0.997358\pi$
$758$	−6.39059	+	0.528746i	−0.232117	+	0.0192049i
$759$	−2.37729	+	8.92685i	−0.0862902	+	0.324024i
$760$	32.3211	−	8.17208i	1.17241	−	0.296432i
$761$	−6.73154	−	14.7400i	−0.244018	−	0.534325i	0.747505	−	0.664256i	$-0.231252\pi$
$761$	−6.73154	−	14.7400i	−0.244018	−	0.534325i	−0.991523	+	0.129931i	$0.958524\pi$
$762$	−2.48101	+	0.957015i	−0.0898776	+	0.0346690i
$763$	2.03117	−	2.34409i	0.0735333	−	0.0848619i
$764$	4.43429	+	1.90675i	0.160427	+	0.0689836i
$765$	−2.02086	+	1.75108i	−0.0730642	+	0.0633105i
$766$	23.2989	−	5.34112i	0.841823	−	0.192983i
$767$	−16.2327	+	55.2836i	−0.586130	+	1.99618i
$768$	−5.32368	+	15.0884i	−0.192102	+	0.544454i
$769$	−24.0033	−	3.45116i	−0.865583	−	0.124452i	−0.304801	−	0.952416i	$-0.598590\pi$
$769$	−24.0033	−	3.45116i	−0.865583	−	0.124452i	−0.560781	+	0.827964i	$0.689499\pi$
$770$	0.765523	−	2.12450i	0.0275875	−	0.0765615i
$771$	11.0587	−	24.2152i	0.398269	−	0.872087i
$772$	−0.710031	−	31.8339i	−0.0255546	−	1.14573i
$773$	23.7498	−	15.2631i	0.854221	−	0.548974i	−0.0386677	−	0.999252i	$-0.512311\pi$
$773$	23.7498	−	15.2631i	0.854221	−	0.548974i	0.892889	+	0.450278i	$0.148675\pi$
$774$	11.6903	+	2.40687i	0.420199	+	0.0865133i
$775$	−26.3435	+	3.78762i	−0.946286	+	0.136055i
$776$	5.89038	+	4.10943i	0.211452	+	0.147520i
$777$	−2.02265	−	1.29988i	−0.0725620	−	0.0466328i
$778$	−21.0063	−	15.3626i	−0.753112	−	0.550777i
$779$	−5.19600	−	17.6960i	−0.186166	−	0.634024i
$780$	−9.83490	+	6.63497i	−0.352146	+	0.237570i
$781$	−8.65568			−0.309725
$782$	11.0776	+	5.53420i	0.396133	+	0.197903i
$783$		−	6.92696i		−	0.247550i
$784$	−18.3798	−	19.3923i	−0.656422	−	0.692582i
$785$	29.8207	−	8.75614i	1.06434	−	0.312520i
$786$	−2.64188	−	1.93210i	−0.0942328	−	0.0689157i
$787$	−2.45019	+	3.81257i	−0.0873398	+	0.135903i	−0.882175	−	0.470923i	$-0.843921\pi$
$787$	−2.45019	+	3.81257i	−0.0873398	+	0.135903i	0.794835	+	0.606826i	$0.207558\pi$
$788$	19.0164	−	22.9613i	0.677433	−	0.817964i
$789$	−0.104897	−	0.729577i	−0.00373445	−	0.0259736i
$790$	−3.30852	+	16.0696i	−0.117712	+	0.571731i
$791$	1.68459	+	2.62128i	0.0598972	+	0.0932019i
$792$	−0.570207	−	5.41834i	−0.0202614	−	0.192532i
$793$	41.5231	+	18.9630i	1.47453	+	0.673395i
$794$	−10.8051	+	29.9867i	−0.383460	+	1.06419i
$795$	−0.682276	+	4.74533i	−0.0241978	+	0.168300i
$796$	−3.57017	+	3.23574i	−0.126541	+	0.114688i
$797$	−33.2259	−	9.75601i	−1.17692	−	0.345575i	−0.365935	−	0.930640i	$-0.619251\pi$
$797$	−33.2259	−	9.75601i	−1.17692	−	0.345575i	−0.810987	+	0.585065i	$0.801069\pi$
$798$	−1.43948	−	6.27925i	−0.0509569	−	0.222283i
$799$	6.38053	+	7.36353i	0.225727	+	0.260503i
$800$	2.54833	−	15.9482i	0.0900972	−	0.563856i
$801$	−8.88098	−	7.69541i	−0.313794	−	0.271904i
$802$	20.4206	−	7.87694i	0.721075	−	0.278145i
$803$	5.23341	−	2.39002i	0.184683	−	0.0843419i
$804$	1.17404	+	7.04636i	0.0414052	+	0.248506i
$805$	−3.39784	−	2.06396i	−0.119758	−	0.0727450i
$806$	4.40276	+	53.2132i	0.155081	+	1.87436i
$807$	−6.03887	+	2.75786i	−0.212578	+	0.0970813i
$808$	20.8136	−	12.2861i	0.732220	−	0.432223i
$809$	−26.0625	+	30.0777i	−0.916309	+	1.05748i	0.0818389	+	0.996646i	$0.473921\pi$
$809$	−26.0625	+	30.0777i	−0.916309	+	1.05748i	−0.998148	+	0.0608315i	$0.980625\pi$
$810$	0.972295	−	1.82881i	0.0341630	−	0.0642580i
$811$	−27.2951	−	31.5002i	−0.958460	−	1.10612i	−0.994284	−	0.106763i	$-0.965951\pi$
$811$	−27.2951	−	31.5002i	−0.958460	−	1.10612i	0.0358249	−	0.999358i	$-0.488594\pi$
$812$	7.47275	−	2.37643i	0.262242	−	0.0833965i
$813$	−6.79772	+	23.1509i	−0.238406	+	0.811938i
$814$	−9.18565	+	7.03746i	−0.321957	+	0.246663i
$815$	0.237047	−	1.64870i	0.00830341	−	0.0577515i
$816$	−7.26793	−	0.716004i	−0.254429	−	0.0250652i
$817$	28.2160	−	61.7844i	0.987153	−	2.16156i
$818$	37.9159	+	2.28719i	1.32570	+	0.0799697i
$819$	1.23942	+	1.92857i	0.0433088	+	0.0673898i
$820$	6.66383	+	0.806894i	0.232711	+	0.0281780i
$821$	46.4138	−	6.67330i	1.61985	−	0.232900i	0.728116	−	0.685454i	$-0.240396\pi$
$821$	46.4138	−	6.67330i	1.61985	−	0.232900i	0.891737	+	0.452554i	$0.149487\pi$
$822$	5.68404	+	5.55868i	0.198254	+	0.193881i
$823$	−0.120962	+	0.188220i	−0.00421646	+	0.00656094i	−0.843355	−	0.537356i	$-0.819423\pi$
$823$	−0.120962	+	0.188220i	−0.00421646	+	0.00656094i	0.839139	+	0.543917i	$0.183059\pi$
$824$	−36.7989	−	18.5238i	−1.28195	−	0.645309i
$825$	1.54940	+	5.27675i	0.0539430	+	0.183713i
$826$	9.93279	−	5.56837i	0.345606	−	0.193749i
$827$		−	12.5133i		−	0.435130i	−0.976046	−	0.217565i	$-0.930189\pi$
$827$		−	12.5133i		−	0.435130i	0.976046	−	0.217565i	$-0.0698114\pi$
$828$	−9.54826	−	0.911437i	−0.331825	−	0.0316746i
$829$			30.2955i			1.05221i	0.850421	+	0.526103i	$0.176347\pi$
$829$			30.2955i			1.05221i	−0.850421	+	0.526103i	$0.823653\pi$
$830$	13.6208	+	24.2966i	0.472785	+	0.843347i
$831$	5.49219	+	18.7047i	0.190522	+	0.648859i
$832$	−31.6302	−	7.02990i	−1.09658	−	0.243718i
$833$	6.59340	−	10.2595i	0.228448	−	0.355472i
$834$	11.7990	−	12.0651i	0.408567	−	0.417781i
$835$	−6.75440	+	0.971136i	−0.233746	+	0.0336075i
$836$	−30.7801	−	3.72703i	−1.06455	−	0.128902i
$837$	−5.03979	−	7.84207i	−0.174201	−	0.271062i
$838$	−1.25949	+	20.8793i	−0.0435084	+	0.721263i
$839$	−15.4426	+	33.8146i	−0.533138	+	1.16741i	0.431084	+	0.902312i	$0.358131\pi$
$839$	−15.4426	+	33.8146i	−0.533138	+	1.16741i	−0.964222	+	0.265097i	$0.914596\pi$
$840$	2.30647	+	0.421492i	0.0795809	+	0.0145429i
$841$	2.70154	−	18.7896i	0.0931566	−	0.647918i
$842$	25.7936	+	33.6672i	0.888908	+	1.16025i
$843$	2.40733	−	8.19863i	0.0829130	−	0.282376i
$844$	−11.1970	−	35.2093i	−0.385417	−	1.21195i
$845$	−3.26525	−	3.76830i	−0.112328	−	0.129634i
$846$	−6.66377	−	3.54282i	−0.229105	−	0.121805i
$847$	2.70195	−	3.11822i	0.0928401	−	0.107143i
$848$	−10.6885	+	7.56304i	−0.367044	+	0.259716i
$849$	12.9649	−	5.92087i	0.444954	−	0.203204i
$850$	7.34673	−	0.607855i	0.251991	−	0.0208492i
$851$	8.92941	+	18.3106i	0.306096	+	0.627678i
$852$	−1.47704	−	8.86487i	−0.0506024	−	0.303705i
$853$	0.000486403	0	0.000222133i	1.66541e−5	0	7.60568e-6i	−0.415407	−	0.909636i	$-0.636361\pi$
$853$	0.000486403	0	0.000222133i	1.66541e−5	0	7.60568e-6i	0.415423	+	0.909628i	$0.363633\pi$
$854$	−3.24679	−	8.41712i	−0.111103	−	0.288028i
$855$	−8.90789	−	7.71873i	−0.304644	−	0.263975i
$856$	−53.4271	−	17.9158i	−1.82610	−	0.612351i
$857$	21.8751	+	25.2452i	0.747239	+	0.862360i	0.994298	−	0.106641i	$-0.0340094\pi$
$857$	21.8751	+	25.2452i	0.747239	+	0.862360i	−0.247058	+	0.969001i	$0.579464\pi$
$858$	10.7544	−	2.46539i	0.367151	−	0.0841669i
$859$	6.13150	+	1.80037i	0.209204	+	0.0614279i	0.384655	−	0.923060i	$-0.374320\pi$
$859$	6.13150	+	1.80037i	0.209204	+	0.0614279i	−0.175451	+	0.984488i	$0.556138\pi$
$860$	16.6013	+	18.3172i	0.566101	+	0.624611i
$861$	0.184596	−	1.28389i	0.00629101	−	0.0437550i
$862$	12.2267	+	4.40565i	0.416441	+	0.150057i
$863$	−28.2047	−	12.8806i	−0.960099	−	0.438462i	−0.127193	−	0.991878i	$-0.540597\pi$
$863$	−28.2047	−	12.8806i	−0.960099	−	0.438462i	−0.832905	+	0.553416i	$0.813324\pi$
$864$	5.45199	−	1.50859i	0.185480	−	0.0513234i
$865$	−1.30810	−	2.03545i	−0.0444768	−	0.0692072i
$866$	−35.9521	−	7.40205i	−1.22170	−	0.251532i
$867$	1.94495	+	13.5274i	0.0660540	+	0.459415i
$868$	6.73095	−	8.12726i	0.228463	−	0.275857i
$869$	8.24931	−	12.8362i	0.279839	−	0.435437i
$870$	8.46936	−	11.5807i	0.287138	−	0.392622i
$871$	−13.8805	+	4.07568i	−0.470322	+	0.138099i
$872$	12.0903	−	9.69823i	0.409430	−	0.328424i
$873$		−	2.53929i		−	0.0859419i
$874$	−17.1971	+	51.8043i	−0.581702	+	1.75231i
$875$	−6.51156			−0.220131
$876$	3.34083	+	4.95205i	0.112876	+	0.167314i
$877$	4.19513	+	14.2873i	0.141660	+	0.482448i	0.999505	−	0.0314596i	$-0.0100156\pi$
$877$	4.19513	+	14.2873i	0.141660	+	0.482448i	−0.857845	+	0.513908i	$0.828197\pi$
$878$	−24.8916	+	34.0358i	−0.840050	+	1.14865i
$879$	0.438554	+	0.281841i	0.0147920	+	0.00950627i
$880$	5.67153	−	9.75569i	0.191187	−	0.328864i
$881$	−29.6898	+	4.26875i	−1.00028	+	0.143818i	−0.622949	−	0.782262i	$-0.714066\pi$
$881$	−29.6898	+	4.26875i	−1.00028	+	0.143818i	−0.377327	+	0.926080i	$0.623157\pi$
$882$	−1.90494	+	9.25236i	−0.0641425	+	0.311543i
$883$	18.9209	−	12.1597i	0.636738	−	0.409207i	−0.182061	−	0.983287i	$-0.558277\pi$
$883$	18.9209	−	12.1597i	0.636738	−	0.409207i	0.818799	+	0.574080i	$0.194640\pi$
$884$	−0.329791	−	14.7861i	−0.0110921	−	0.497309i
$885$	8.65495	−	18.9517i	0.290933	−	0.637054i
$886$	9.12109	+	3.28662i	0.306429	+	0.110416i
$887$	−32.3196	−	4.64686i	−1.08519	−	0.156026i	−0.423566	−	0.905865i	$-0.639222\pi$
$887$	−32.3196	−	4.64686i	−1.08519	−	0.156026i	−0.661620	+	0.749839i	$0.730131\pi$
$888$	−8.77502	−	8.20675i	−0.294470	−	0.275401i
$889$	−0.299846	+	1.02118i	−0.0100565	+	0.0342494i
$890$	−5.43854	−	23.7239i	−0.182300	−	0.795226i
$891$	−1.45576	+	1.26143i	−0.0487699	+	0.0422593i
$892$	−10.9538	+	25.4739i	−0.366760	+	0.852928i
$893$	−28.1253	+	32.4583i	−0.941176	+	1.08617i
$894$	2.87441	+	7.45175i	0.0961345	+	0.249224i
$895$	8.05729	+	17.6430i	0.269326	+	0.589741i
$896$	3.49787	+	5.36400i	0.116856	+	0.179199i
$897$	−0.491997	−	19.4181i	−0.0164273	−	0.648351i
$898$	−1.41404	−	17.0906i	−0.0471872	−	0.570320i
$899$	−26.8243	−	58.7371i	−0.894642	−	1.95899i
$900$	−5.13989	+	2.48729i	−0.171330	+	0.0829095i
$901$	−4.51676	−	3.91379i	−0.150475	−	0.130387i
$902$	−5.51210	−	2.93053i	−0.183533	−	0.0975760i
$903$	3.61019	−	3.12825i	0.120140	−	0.104102i
$904$	5.92622	+	14.3987i	0.197103	+	0.478893i
$905$	17.4159	+	5.11377i	0.578924	+	0.169987i
$906$	14.4560	−	11.0753i	0.480268	−	0.367951i
$907$	9.02949	+	1.29824i	0.299819	+	0.0431075i	0.290583	−	0.956850i	$-0.406151\pi$
$907$	9.02949	+	1.29824i	0.299819	+	0.0431075i	0.00923639	+	0.999957i	$0.497060\pi$
$908$	40.3446	+	10.8752i	1.33888	+	0.360905i
$909$	−7.77292	−	3.54977i	−0.257812	−	0.117739i
$910$	−0.285907	+	4.73963i	−0.00947773	+	0.157117i
$911$	−7.41252	+	4.76374i	−0.245588	+	0.157830i	−0.657644	−	0.753329i	$-0.728447\pi$
$911$	−7.41252	+	4.76374i	−0.245588	+	0.157830i	0.412056	+	0.911158i	$0.364811\pi$
$912$	−1.43532	−	32.1600i	−0.0475282	−	1.06492i
$913$	−3.68661	−	25.6409i	−0.122009	−	0.848591i
$914$	−0.386709	−	0.378180i	−0.0127912	−	0.0125091i
$915$	−13.8860	−	8.92402i	−0.459059	−	0.295019i
$916$	10.0695	−	16.4645i	0.332706	−	0.544002i
$917$	−1.25690	+	0.369059i	−0.0415064	+	0.0121874i
$918$	1.26263	+	2.25227i	0.0416731	+	0.0743358i
$919$	59.1932			1.95260			0.976302	−	0.216414i	$-0.0694360\pi$
$919$	59.1932			1.95260			0.976302	+	0.216414i	$0.0694360\pi$
$920$	−14.8487	−	13.1981i	−0.489546	−	0.435128i
$921$	−19.2943			−0.635768
$922$	−6.90435	−	12.3159i	−0.227383	−	0.405602i
$923$	17.4627	−	5.12752i	0.574793	−	0.168774i
$924$	−1.86024	−	1.13771i	−0.0611975	−	0.0374278i
$925$	10.2025	+	6.55673i	0.335455	+	0.215584i
$926$	15.2498	+	14.9135i	0.501140	+	0.490088i
$927$	2.07292	+	14.4175i	0.0680838	+	0.473533i
$928$	38.8685	−	4.96898i	1.27592	−	0.163115i
$929$	18.4120	−	11.8327i	0.604078	−	0.388217i	−0.202554	−	0.979271i	$-0.564924\pi$
$929$	18.4120	−	11.8327i	0.604078	−	0.388217i	0.806632	+	0.591054i	$0.201288\pi$
$930$	1.16257	−	19.2726i	0.0381222	−	0.631972i
$931$	48.8996	+	22.3317i	1.60262	+	0.731892i
$932$	−8.15921	+	30.2690i	−0.267264	+	0.991493i
$933$	24.7128	+	3.55317i	0.809062	+	0.116326i
$934$	25.7581	−	19.7342i	0.842830	−	0.645723i
$935$	4.94211	+	1.45113i	0.161624	+	0.0474571i
$936$	4.36015	+	10.5937i	0.142516	+	0.346264i
$937$	5.47480	−	4.74394i	0.178854	−	0.154978i	−0.560833	−	0.827929i	$-0.689519\pi$
$937$	5.47480	−	4.74394i	0.178854	−	0.154978i	0.739687	+	0.672951i	$0.234974\pi$
$938$	2.52446	+	1.34214i	0.0824264	+	0.0438223i
$939$	−3.79020	−	3.28422i	−0.123688	−	0.107177i
$940$	−6.80899	−	14.0705i	−0.222085	−	0.458930i
$941$	2.57944	+	5.64818i	0.0840872	+	0.184125i	0.947005	−	0.321219i	$-0.104093\pi$
$941$	2.57944	+	5.64818i	0.0840872	+	0.184125i	−0.862918	+	0.505345i	$0.831365\pi$
$942$	−2.47460	−	29.9088i	−0.0806269	−	0.974483i
$943$	−6.98441	+	8.48553i	−0.227444	+	0.276327i
$944$	53.8286	−	18.4497i	1.75197	−	0.600487i
$945$	−0.344365	−	0.754054i	−0.0112022	−	0.0245294i
$946$	−8.27413	−	21.4503i	−0.269015	−	0.697408i
$947$	−21.6965	+	25.0392i	−0.705043	+	0.813663i	−0.989425	−	0.145048i	$-0.953666\pi$
$947$	−21.6965	+	25.0392i	−0.705043	+	0.813663i	0.284382	+	0.958711i	$0.408212\pi$
$948$	14.5541	+	6.25827i	0.472695	+	0.203259i
$949$	−9.14253	+	7.92204i	−0.296779	+	0.257160i
$950$	7.26090	+	31.6733i	0.235575	+	1.02762i
$951$	−3.64097	+	12.4000i	−0.118066	+	0.402097i
$952$	−1.99655	+	2.13480i	−0.0647086	+	0.0691893i
$953$	3.10734	+	0.446769i	0.100657	+	0.0144723i	0.192459	−	0.981305i	$-0.438354\pi$
$953$	3.10734	+	0.446769i	0.100657	+	0.0144723i	−0.0918024	+	0.995777i	$0.529263\pi$
$954$	4.35519	+	1.56931i	0.141005	+	0.0508084i
$955$	1.46834	−	3.21521i	0.0475143	−	0.104042i
$956$	−8.20547	+	0.183016i	−0.265384	+	0.00591917i
$957$	−11.2249	+	7.21381i	−0.362850	+	0.233189i
$958$	1.32986	−	6.45919i	0.0429659	−	0.208687i
$959$	3.14958	−	0.452841i	0.101705	−	0.0146230i
$960$	10.9593	+	4.14385i	0.353709	+	0.133742i
$961$	−47.0240	−	30.2205i	−1.51690	−	0.974855i
$962$	14.3630	−	19.6395i	0.463083	−	0.633202i
$963$	5.61298	+	19.1161i	0.180876	+	0.616007i
$964$	−9.52123	+	6.42336i	−0.306658	+	0.206882i
$965$	−23.3173			−0.750609
$966$	−2.61369	+	2.81171i	−0.0840942	+	0.0904653i
$967$		−	16.9943i		−	0.546501i	−0.961943	−	0.273251i	$-0.911901\pi$
$967$		−	16.9943i		−	0.546501i	0.961943	−	0.273251i	$-0.0880988\pi$
$968$	16.0831	−	12.9010i	0.516930	−	0.414654i
$969$	14.0987	−	4.13974i	0.452914	−	0.132988i
$970$	3.10470	−	4.24525i	0.0996860	−	0.136307i
$971$	−4.26298	+	6.63333i	−0.136806	+	0.212874i	−0.902896	−	0.429859i	$-0.858563\pi$
$971$	−4.26298	+	6.63333i	−0.136806	+	0.212874i	0.766090	+	0.642733i	$0.222200\pi$
$972$	−1.54033	−	1.27569i	−0.0494061	−	0.0409178i
$973$	−0.961214	−	6.68539i	−0.0308151	−	0.214324i
$974$	−60.0885	−	12.3714i	−1.92536	−	0.396406i
$975$	−6.25178	−	9.72795i	−0.200217	−	0.311544i
$976$	−8.39902	−	44.2926i	−0.268846	−	1.41777i
$977$	49.9766	+	22.8235i	1.59889	+	0.730190i	0.997626	−	0.0688590i	$-0.0219358\pi$
$977$	49.9766	+	22.8235i	1.59889	+	0.730190i	0.601266	+	0.799049i	$0.294663\pi$
$978$	−1.51315	−	0.545236i	−0.0483852	−	0.0174347i
$979$	−3.22141	+	22.4054i	−0.102957	+	0.716079i
$980$	−14.4973	+	13.1392i	−0.463098	+	0.419718i
$981$	−5.25790	−	1.54386i	−0.167872	−	0.0492916i
$982$	−21.8681	+	5.01312i	−0.697839	+	0.159975i
$983$	27.0284	+	31.1924i	0.862071	+	0.994882i	0.999990	+	0.00443899i	$0.00141298\pi$
$983$	27.0284	+	31.1924i	0.862071	+	0.994882i	−0.137920	+	0.990443i	$0.544042\pi$
$984$	2.06075	−	6.14540i	0.0656943	−	0.195908i
$985$	−16.4995	−	14.2969i	−0.525718	−	0.455537i
$986$	6.43688	+	16.6873i	0.204992	+	0.531431i
$987$	−2.74760	+	1.25478i	−0.0874569	+	0.0399402i
$988$	64.3063	−	10.7145i	2.04586	−	0.340874i
$989$	−39.9045	+	6.77314i	−1.26889	+	0.215373i
$990$	−3.97608	+	0.328974i	−0.126368	+	0.0104555i
$991$	−20.5800	+	9.39857i	−0.653745	+	0.298555i	−0.714540	−	0.699595i	$-0.753364\pi$
$991$	−20.5800	+	9.39857i	−0.653745	+	0.298555i	0.0607946	+	0.998150i	$0.480637\pi$
$992$	40.3881	−	33.9046i	1.28232	−	1.07647i
$993$	−4.64050	+	5.35542i	−0.147262	+	0.169949i
$994$	−3.17596	−	1.68851i	−0.100735	−	0.0535564i
$995$	2.31059	+	2.66656i	0.0732507	+	0.0845358i
$996$	25.6315	−	8.15117i	0.812166	−	0.258280i
$997$	10.6108	−	36.1371i	0.336048	−	1.14447i	−0.602152	−	0.798381i	$-0.705690\pi$
$997$	10.6108	−	36.1371i	0.336048	−	1.14447i	0.938200	−	0.346093i	$-0.112492\pi$
$998$	7.86861	+	10.2705i	0.249076	+	0.325107i
$999$	−0.604528	+	4.20458i	−0.0191264	+	0.133027i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.t.a.19.4	✓	240
8.3	odd	2	inner	552.2.t.a.19.22	yes	240
23.17	odd	22	inner	552.2.t.a.523.22	yes	240
184.155	even	22	inner	552.2.t.a.523.4	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.t.a.19.4	✓	240	1.1	even	1	trivial
552.2.t.a.19.22	yes	240	8.3	odd	2	inner
552.2.t.a.523.4	yes	240	184.155	even	22	inner
552.2.t.a.523.22	yes	240	23.17	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.23359 + 0.691558i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.04350 - 1.70620i) q^{4} +(-1.23207 - 0.791805i) q^{5} +(-0.988788 + 1.01109i) q^{6} +(0.0805522 + 0.560253i) q^{7} +(-0.107310 + 2.82639i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(-1.23359 + 0.691558i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.04350 - 1.70620i) q^{4} +(-1.23207 - 0.791805i) q^{5} +(-0.988788 + 1.01109i) q^{6} +(0.0805522 + 0.560253i) q^{7} +(-0.107310 + 2.82639i) q^{8} +(0.841254 - 0.540641i) q^{9} +(2.06745 + 0.124714i) q^{10} +(-1.75218 - 0.800193i) q^{11} +(0.520534 - 1.93107i) q^{12} +(4.00903 + 0.576411i) q^{13} +(-0.486816 - 0.635416i) q^{14} +(-1.40524 - 0.412616i) q^{15} +(-1.82224 - 3.56082i) q^{16} +(1.37983 - 1.19563i) q^{17} +(-0.663879 + 1.24871i) q^{18} +(6.08227 + 5.27032i) q^{19} +(-2.63664 + 1.27592i) q^{20} +(0.235131 + 0.514864i) q^{21} +(2.71485 - 0.224622i) q^{22} +(0.562062 - 4.76278i) q^{23} +(0.693323 + 2.74213i) q^{24} +(-1.18603 - 2.59704i) q^{25} +(-5.34412 + 2.06142i) q^{26} +(0.654861 - 0.755750i) q^{27} +(1.03996 + 0.447183i) q^{28} +(5.23505 - 4.53620i) q^{29} +(2.01884 - 0.462807i) q^{30} +(2.62628 - 8.94428i) q^{31} +(4.71041 + 3.13242i) q^{32} +(-1.90664 - 0.274134i) q^{33} +(-0.875300 + 2.42915i) q^{34} +(0.344365 - 0.754054i) q^{35} +(-0.0445973 - 1.99950i) q^{36} +(-3.57349 + 2.29654i) q^{37} +(-11.1478 - 2.29517i) q^{38} +(4.00903 - 0.576411i) q^{39} +(2.37016 - 3.39735i) q^{40} +(-1.92784 - 1.23895i) q^{41} +(-0.646114 - 0.472526i) q^{42} +(-2.37773 - 8.09780i) q^{43} +(-3.19368 + 2.15457i) q^{44} -1.46457 q^{45} +(2.60038 + 6.26402i) q^{46} +5.33654i q^{47} +(-2.75162 - 2.90320i) q^{48} +(6.40906 - 1.88187i) q^{49} +(3.25907 + 2.38348i) q^{50} +(0.987091 - 1.53594i) q^{51} +(5.16687 - 6.23872i) q^{52} +(-0.465855 - 3.24009i) q^{53} +(-0.285186 + 1.38516i) q^{54} +(1.52521 + 2.37328i) q^{55} +(-1.59214 + 0.167551i) q^{56} +(7.32071 + 3.34326i) q^{57} +(-3.32087 + 9.21615i) q^{58} +(-2.02452 + 14.0809i) q^{59} +(-2.17037 + 1.96706i) q^{60} +(10.8139 + 3.17526i) q^{61} +(2.94574 + 12.8498i) q^{62} +(0.370660 + 0.427765i) q^{63} +(-7.97697 - 0.606602i) q^{64} +(-4.48301 - 3.88455i) q^{65} +(2.54160 - 0.980385i) q^{66} +(-3.24898 + 1.48376i) q^{67} +(-0.600138 - 3.60190i) q^{68} +(-0.802536 - 4.72821i) q^{69} +(0.0966664 + 1.16834i) q^{70} +(4.08747 - 1.86668i) q^{71} +(1.43779 + 2.43573i) q^{72} +(-1.95594 + 2.25727i) q^{73} +(2.82004 - 5.30427i) q^{74} +(-1.86965 - 2.15770i) q^{75} +(15.3390 - 4.87802i) q^{76} +(0.307169 - 1.04612i) q^{77} +(-4.54688 + 3.48353i) q^{78} +(-1.12732 + 7.84066i) q^{79} +(-0.574350 + 5.83005i) q^{80} +(0.415415 - 0.909632i) q^{81} +(3.23498 + 0.195142i) q^{82} +(7.27065 + 11.3134i) q^{83} +(1.12382 + 0.136079i) q^{84} +(-2.64676 + 0.380547i) q^{85} +(8.53325 + 8.34504i) q^{86} +(3.74500 - 5.82733i) q^{87} +(2.44969 - 4.86647i) q^{88} +(-3.31070 - 11.2752i) q^{89} +(1.80668 - 1.01283i) q^{90} +2.29250i q^{91} +(-7.53975 - 5.92893i) q^{92} -9.32189i q^{93} +(-3.69053 - 6.58311i) q^{94} +(-3.32073 - 11.3094i) q^{95} +(5.40211 + 1.67846i) q^{96} +(1.37284 - 2.13619i) q^{97} +(-6.60474 + 6.75369i) q^{98} +(-1.90664 + 0.274134i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) \) 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9	\( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) \) 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9 + 4 * q^12 - 4 * q^16 + 44 * q^17 - 55 * q^20 - 24 * q^25 + 24 * q^27 + 33 * q^34 + 7 * q^36 - 132 * q^38 + 11 * q^40 - 66 * q^42 + 77 * q^44 + 37 * q^48 - 56 * q^49 - 37 * q^50 - 55 * q^52 - 11 * q^54 + 132 * q^56 + 37 * q^58 + 11 * q^60 + 51 * q^62 - 4 * q^64 - 55 * q^66 - 132 * q^70 + 144 * q^73 + 44 * q^74 + 24 * q^75 - 55 * q^76 - 198 * q^80 - 24 * q^81 - 26 * q^82 + 44 * q^84 - 110 * q^86 + 22 * q^88 - 139 * q^92 - 117 * q^94 - 209 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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