LMFDB - Embedded newform 287.2.u.a.8.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(8,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("287.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.u (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:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.2
Character	$\chi$	$=$	287.8
Dual form			287.2.u.a.36.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.35859 + 1.86993i) q^{2} +(-1.46234 - 1.46234i) q^{3} +(-1.03286 - 3.17882i) q^{4} +(0.803450 - 0.261057i) q^{5} +(4.72118 - 0.747761i) q^{6} +(0.987688 + 0.156434i) q^{7} +(2.95092 + 0.958814i) q^{8} +1.27685i q^{9} +O(q^{10})$	\(q+(-1.35859 + 1.86993i) q^{2} +(-1.46234 - 1.46234i) q^{3} +(-1.03286 - 3.17882i) q^{4} +(0.803450 - 0.261057i) q^{5} +(4.72118 - 0.747761i) q^{6} +(0.987688 + 0.156434i) q^{7} +(2.95092 + 0.958814i) q^{8} +1.27685i q^{9} +(-0.603397 + 1.85706i) q^{10} +(-5.08694 + 2.59193i) q^{11} +(-3.13811 + 6.15888i) q^{12} +(0.738847 + 4.66490i) q^{13} +(-1.63438 + 1.63438i) q^{14} +(-1.55667 - 0.793161i) q^{15} +(-0.393877 + 0.286169i) q^{16} +(-3.32558 - 6.52682i) q^{17} +(-2.38762 - 1.73471i) q^{18} +(-0.827641 + 5.22552i) q^{19} +(-1.65970 - 2.28438i) q^{20} +(-1.21557 - 1.67309i) q^{21} +(2.06432 - 13.0336i) q^{22} +(-3.27228 - 2.37745i) q^{23} +(-2.91313 - 5.71735i) q^{24} +(-3.46770 + 2.51943i) q^{25} +(-9.72683 - 4.95607i) q^{26} +(-2.51982 + 2.51982i) q^{27} +(-0.522867 - 3.30125i) q^{28} +(1.41039 - 2.76805i) q^{29} +(3.59802 - 1.83328i) q^{30} +(-1.30199 + 4.00711i) q^{31} +5.08026i q^{32} +(11.2291 + 3.64855i) q^{33} +(16.7228 + 2.64863i) q^{34} +(0.834396 - 0.132155i) q^{35} +(4.05887 - 1.31881i) q^{36} +(-1.93754 - 5.96313i) q^{37} +(-8.64695 - 8.64695i) q^{38} +(5.74120 - 7.90208i) q^{39} +2.62122 q^{40} +(-5.21458 + 3.71593i) q^{41} +4.78003 q^{42} +(-2.71013 + 3.73017i) q^{43} +(13.4933 + 13.4933i) q^{44} +(0.333330 + 1.02588i) q^{45} +(8.89135 - 2.88897i) q^{46} +(-8.05562 + 1.27588i) q^{47} +(0.994455 + 0.157506i) q^{48} +(0.951057 + 0.309017i) q^{49} -9.90724i q^{50} +(-4.68128 + 14.4075i) q^{51} +(14.0657 - 7.16684i) q^{52} +(0.630731 - 1.23788i) q^{53} +(-1.28850 - 8.13530i) q^{54} +(-3.41046 + 3.41046i) q^{55} +(2.76460 + 1.40864i) q^{56} +(8.85175 - 6.43117i) q^{57} +(3.25993 + 6.39796i) q^{58} +(7.90049 + 5.74004i) q^{59} +(-0.913494 + 5.76758i) q^{60} +(1.24915 + 1.71930i) q^{61} +(-5.72416 - 7.87863i) q^{62} +(-0.199743 + 1.26113i) q^{63} +(-10.2875 - 7.47431i) q^{64} +(1.81143 + 3.55513i) q^{65} +(-22.0782 + 16.0408i) q^{66} +(-4.48237 - 2.28388i) q^{67} +(-17.3127 + 17.3127i) q^{68} +(1.30854 + 8.26180i) q^{69} +(-0.886477 + 1.73981i) q^{70} +(1.24921 - 0.636504i) q^{71} +(-1.22426 + 3.76789i) q^{72} -4.12136i q^{73} +(13.7830 + 4.47836i) q^{74} +(8.75520 + 1.38669i) q^{75} +(17.4658 - 2.76631i) q^{76} +(-5.42978 + 1.76424i) q^{77} +(6.97645 + 21.4713i) q^{78} +(4.75325 + 4.75325i) q^{79} +(-0.241754 + 0.332746i) q^{80} +11.2002 q^{81} +(0.135926 - 14.7993i) q^{82} -0.758298 q^{83} +(-4.06293 + 5.59215i) q^{84} +(-4.37581 - 4.37581i) q^{85} +(-3.29323 - 10.1355i) q^{86} +(-6.11028 + 1.98535i) q^{87} +(-17.4964 + 2.77115i) q^{88} +(2.59064 + 0.410318i) q^{89} +(-2.37119 - 0.770447i) q^{90} +4.72304i q^{91} +(-4.17767 + 12.8575i) q^{92} +(7.76368 - 3.95579i) q^{93} +(8.55843 - 16.7969i) q^{94} +(0.699188 + 4.41450i) q^{95} +(7.42905 - 7.42905i) q^{96} +(-1.35454 - 0.690171i) q^{97} +(-1.86993 + 1.35859i) q^{98} +(-3.30950 - 6.49526i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.35859	+	1.86993i	−0.960665	+	1.32224i	−0.0140416	+	0.999901i	$0.504470\pi$
$2$	−1.35859	+	1.86993i	−0.960665	+	1.32224i	−0.946624	+	0.322341i	$0.895530\pi$
$3$	−1.46234	−	1.46234i	−0.844280	−	0.844280i	0.145133	−	0.989412i	$-0.453639\pi$
$3$	−1.46234	−	1.46234i	−0.844280	−	0.844280i	−0.989412	+	0.145133i	$0.953639\pi$
$4$	−1.03286	−	3.17882i	−0.516430	−	1.58941i
$5$	0.803450	−	0.261057i	0.359314	−	0.116748i	−0.123797	−	0.992308i	$-0.539507\pi$
$5$	0.803450	−	0.261057i	0.359314	−	0.116748i	0.483110	+	0.875560i	$0.339507\pi$
$6$	4.72118	−	0.747761i	1.92741	−	0.305272i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$7$	0.987688	+	0.156434i	0.373311	+	0.0591267i
$8$	2.95092	+	0.958814i	1.04331	+	0.338992i
$9$			1.27685i			0.425616i
$10$	−0.603397	+	1.85706i	−0.190811	+	0.587255i
$11$	−5.08694	+	2.59193i	−1.53377	+	0.781495i	−0.998021	−	0.0628822i	$-0.979971\pi$
$11$	−5.08694	+	2.59193i	−1.53377	+	0.781495i	−0.535749	+	0.844377i	$0.679971\pi$
$12$	−3.13811	+	6.15888i	−0.905893	+	1.77792i
$13$	0.738847	+	4.66490i	0.204919	+	1.29381i	0.848813	+	0.528694i	$0.177318\pi$
$13$	0.738847	+	4.66490i	0.204919	+	1.29381i	−0.643893	+	0.765115i	$0.722682\pi$
$14$	−1.63438	+	1.63438i	−0.436807	+	0.436807i
$15$	−1.55667	−	0.793161i	−0.401929	−	0.204793i
$16$	−0.393877	+	0.286169i	−0.0984693	+	0.0715422i
$17$	−3.32558	−	6.52682i	−0.806572	−	1.58299i	−0.812470	−	0.583003i	$-0.801877\pi$
$17$	−3.32558	−	6.52682i	−0.806572	−	1.58299i	0.00589824	−	0.999983i	$-0.498123\pi$
$18$	−2.38762	−	1.73471i	−0.562768	−	0.408875i
$19$	−0.827641	+	5.22552i	−0.189874	+	1.19882i	0.690071	+	0.723741i	$0.257579\pi$
$19$	−0.827641	+	5.22552i	−0.189874	+	1.19882i	−0.879945	+	0.475075i	$0.842421\pi$
$20$	−1.65970	−	2.28438i	−0.371121	−	0.510804i
$21$	−1.21557	−	1.67309i	−0.265260	−	0.365098i
$22$	2.06432	−	13.0336i	0.440114	−	2.77877i
$23$	−3.27228	−	2.37745i	−0.682318	−	0.495733i	0.191808	−	0.981432i	$-0.438565\pi$
$23$	−3.27228	−	2.37745i	−0.682318	−	0.495733i	−0.874126	+	0.485700i	$0.838565\pi$
$24$	−2.91313	−	5.71735i	−0.594641	−	1.16705i
$25$	−3.46770	+	2.51943i	−0.693541	+	0.503887i
$26$	−9.72683	−	4.95607i	−1.90759	−	0.971965i
$27$	−2.51982	+	2.51982i	−0.484940	+	0.484940i
$28$	−0.522867	−	3.30125i	−0.0988126	−	0.623878i
$29$	1.41039	−	2.76805i	0.261903	−	0.514013i	−0.722184	−	0.691701i	$-0.756862\pi$
$29$	1.41039	−	2.76805i	0.261903	−	0.514013i	0.984087	+	0.177688i	$0.0568616\pi$
$30$	3.59802	−	1.83328i	0.656906	−	0.334710i
$31$	−1.30199	+	4.00711i	−0.233844	+	0.719698i	0.763429	+	0.645892i	$0.223514\pi$
$31$	−1.30199	+	4.00711i	−0.233844	+	0.719698i	−0.997273	+	0.0738057i	$0.976486\pi$
$32$			5.08026i			0.898072i
$33$	11.2291	+	3.64855i	1.95473	+	0.635131i
$34$	16.7228	+	2.64863i	2.86794	+	0.454236i
$35$	0.834396	−	0.132155i	0.141039	−	0.0223383i
$36$	4.05887	−	1.31881i	0.676478	−	0.219801i
$37$	−1.93754	−	5.96313i	−0.318530	−	0.980333i	−0.974277	−	0.225353i	$-0.927646\pi$
$37$	−1.93754	−	5.96313i	−0.318530	−	0.980333i	0.655748	−	0.754980i	$-0.272354\pi$
$38$	−8.64695	−	8.64695i	−1.40272	−	1.40272i
$39$	5.74120	−	7.90208i	0.919328	−	1.26535i
$40$	2.62122			0.414452
$41$	−5.21458	+	3.71593i	−0.814381	+	0.580330i
$41$	−5.21458	+	3.71593i	−0.814381	+	0.580330i
$42$	4.78003			0.737574
$43$	−2.71013	+	3.73017i	−0.413291	+	0.568846i	−0.964017	−	0.265840i	$-0.914351\pi$
$43$	−2.71013	+	3.73017i	−0.413291	+	0.568846i	0.550726	+	0.834686i	$0.314351\pi$
$44$	13.4933	+	13.4933i	2.03420	+	2.03420i
$45$	0.333330	+	1.02588i	0.0496899	+	0.152930i
$46$	8.89135	−	2.88897i	1.31096	−	0.425956i
$47$	−8.05562	+	1.27588i	−1.17503	+	0.186107i	−0.713265	−	0.700894i	$-0.752785\pi$
$47$	−8.05562	+	1.27588i	−1.17503	+	0.186107i	−0.461767	+	0.887001i	$0.652785\pi$
$48$	0.994455	+	0.157506i	0.143537	+	0.0227341i
$49$	0.951057	+	0.309017i	0.135865	+	0.0441453i
$50$		−	9.90724i		−	1.40110i
$51$	−4.68128	+	14.4075i	−0.655511	+	2.01745i
$52$	14.0657	−	7.16684i	1.95056	−	0.993862i
$53$	0.630731	−	1.23788i	0.0866375	−	0.170036i	−0.843622	−	0.536937i	$-0.819581\pi$
$53$	0.630731	−	1.23788i	0.0866375	−	0.170036i	0.930260	+	0.366901i	$0.119581\pi$
$54$	−1.28850	−	8.13530i	−0.175343	−	1.10707i
$55$	−3.41046	+	3.41046i	−0.459866	+	0.459866i
$56$	2.76460	+	1.40864i	0.369436	+	0.188237i
$57$	8.85175	−	6.43117i	1.17244	−	0.851830i
$58$	3.25993	+	6.39796i	0.428049	+	0.840094i
$59$	7.90049	+	5.74004i	1.02856	+	0.747289i	0.968019	−	0.250877i	$-0.0807188\pi$
$59$	7.90049	+	5.74004i	1.02856	+	0.747289i	0.0605366	+	0.998166i	$0.480719\pi$
$60$	−0.913494	+	5.76758i	−0.117932	+	0.744591i
$61$	1.24915	+	1.71930i	0.159937	+	0.220134i	0.881463	−	0.472253i	$-0.156559\pi$
$61$	1.24915	+	1.71930i	0.159937	+	0.220134i	−0.721526	+	0.692387i	$0.756559\pi$
$62$	−5.72416	−	7.87863i	−0.726969	−	1.00059i
$63$	−0.199743	+	1.26113i	−0.0251653	+	0.158887i
$64$	−10.2875	−	7.47431i	−1.28594	−	0.934289i
$65$	1.81143	+	3.55513i	0.224680	+	0.440959i
$66$	−22.0782	+	16.0408i	−2.71764	+	1.97448i
$67$	−4.48237	−	2.28388i	−0.547609	−	0.279021i	0.158219	−	0.987404i	$-0.449425\pi$
$67$	−4.48237	−	2.28388i	−0.547609	−	0.279021i	−0.705828	+	0.708384i	$0.749425\pi$
$68$	−17.3127	+	17.3127i	−2.09947	+	2.09947i
$69$	1.30854	+	8.26180i	0.157530	+	0.994604i
$70$	−0.886477	+	1.73981i	−0.105954	+	0.207947i
$71$	1.24921	−	0.636504i	0.148254	−	0.0755391i	−0.378290	−	0.925687i	$-0.623488\pi$
$71$	1.24921	−	0.636504i	0.148254	−	0.0755391i	0.526544	+	0.850148i	$0.323488\pi$
$72$	−1.22426	+	3.76789i	−0.144280	+	0.444050i
$73$		−	4.12136i		−	0.482369i	−0.970479	−	0.241185i	$-0.922464\pi$
$73$		−	4.12136i		−	0.482369i	0.970479	−	0.241185i	$-0.0775359\pi$
$74$	13.7830	+	4.47836i	1.60224	+	0.520599i
$75$	8.75520	+	1.38669i	1.01096	+	0.160121i
$76$	17.4658	−	2.76631i	2.00346	−	0.317318i
$77$	−5.42978	+	1.76424i	−0.618781	+	0.201054i
$78$	6.97645	+	21.4713i	0.789928	+	2.43115i
$79$	4.75325	+	4.75325i	0.534783	+	0.534783i	0.921992	−	0.387209i	$-0.126561\pi$
$79$	4.75325	+	4.75325i	0.534783	+	0.534783i	−0.387209	+	0.921992i	$0.626561\pi$
$80$	−0.241754	+	0.332746i	−0.0270290	+	0.0372022i
$81$	11.2002			1.24447
$82$	0.135926	−	14.7993i	0.0150105	−	1.63431i
$83$	−0.758298			−0.0832340			−0.0416170	−	0.999134i	$-0.513251\pi$
$83$	−0.758298			−0.0832340			−0.0416170	+	0.999134i	$0.513251\pi$
$84$	−4.06293	+	5.59215i	−0.443302	+	0.610153i
$85$	−4.37581	−	4.37581i	−0.474623	−	0.474623i
$86$	−3.29323	−	10.1355i	−0.355118	−	1.09294i
$87$	−6.11028	+	1.98535i	−0.655090	+	0.212852i
$88$	−17.4964	+	2.77115i	−1.86512	+	0.295406i
$89$	2.59064	+	0.410318i	0.274608	+	0.0434936i	0.292219	−	0.956351i	$-0.405606\pi$
$89$	2.59064	+	0.410318i	0.274608	+	0.0434936i	−0.0176117	+	0.999845i	$0.505606\pi$
$90$	−2.37119	−	0.770447i	−0.249946	−	0.0812122i
$91$			4.72304i			0.495110i
$92$	−4.17767	+	12.8575i	−0.435552	+	1.34049i
$93$	7.76368	−	3.95579i	0.805056	−	0.410197i
$94$	8.55843	−	16.7969i	0.882735	−	1.73246i
$95$	0.699188	+	4.41450i	0.0717352	+	0.452918i
$96$	7.42905	−	7.42905i	0.758224	−	0.758224i
$97$	−1.35454	−	0.690171i	−0.137532	−	0.0700762i	0.383870	−	0.923387i	$-0.374591\pi$
$97$	−1.35454	−	0.690171i	−0.137532	−	0.0700762i	−0.521403	+	0.853311i	$0.674591\pi$
$98$	−1.86993	+	1.35859i	−0.188892	+	0.137238i
$99$	−3.30950	−	6.49526i	−0.332617	−	0.652798i
$100$	11.5905	+	8.42097i	1.15905	+	0.842097i
$101$	−1.07286	+	6.77378i	−0.106754	+	0.674017i	0.875038	+	0.484055i	$0.160836\pi$
$101$	−1.07286	+	6.77378i	−0.106754	+	0.674017i	−0.981791	+	0.189962i	$0.939164\pi$
$102$	−20.5812	−	28.3275i	−2.03784	−	2.80484i
$103$	−7.90495	−	10.8802i	−0.778898	−	1.07206i	−0.995403	−	0.0957799i	$-0.969465\pi$
$103$	−7.90495	−	10.8802i	−0.778898	−	1.07206i	0.216504	−	0.976282i	$-0.430535\pi$
$104$	−2.29248	+	14.4742i	−0.224797	+	1.41931i
$105$	−1.41342	−	1.02691i	−0.137936	−	0.100216i
$106$	1.45785	+	2.86119i	0.141599	+	0.277903i
$107$	14.1290	−	10.2653i	1.36590	−	0.992385i	0.367856	−	0.929883i	$-0.380092\pi$
$107$	14.1290	−	10.2653i	1.36590	−	0.992385i	0.998045	−	0.0625020i	$-0.0199080\pi$
$108$	10.6127	+	5.40743i	1.02121	+	0.520330i
$109$	13.7587	−	13.7587i	1.31784	−	1.31784i	0.402364	−	0.915480i	$-0.368188\pi$
$109$	13.7587	−	13.7587i	1.31784	−	1.31784i	0.915480	−	0.402364i	$-0.131812\pi$
$110$	−1.74393	−	11.0107i	−0.166277	−	1.04983i
$111$	−5.88677	+	11.5534i	−0.558747	+	1.09660i
$112$	−0.433795	+	0.221029i	−0.0409897	+	0.0208853i
$113$	−4.19043	+	12.8968i	−0.394203	+	1.21323i	0.535378	+	0.844612i	$0.320169\pi$
$113$	−4.19043	+	12.8968i	−0.394203	+	1.21323i	−0.929581	+	0.368618i	$0.879831\pi$
$114$			25.2895i			2.36858i
$115$	−3.24976	−	1.05591i	−0.303042	−	0.0984643i
$116$	−10.2558	−	1.62437i	−0.952231	−	0.150819i
$117$	−5.95637	+	0.943396i	−0.550666	+	0.0872170i
$118$	−21.4670	+	6.97504i	−1.97620	+	0.642105i
$119$	−2.26362	−	6.96670i	−0.207505	−	0.638636i
$120$	−3.83311	−	3.83311i	−0.349913	−	0.349913i
$121$	12.6932	−	17.4708i	1.15393	−	1.58825i
$122$	−4.91205			−0.444716
$123$	13.0594	+	2.19154i	1.17753	+	0.197604i
$124$	14.0826			1.26466
$125$	−4.61121	+	6.34678i	−0.412439	+	0.567673i
$126$	−2.08686	−	2.08686i	−0.185912	−	0.185912i
$127$	−5.28516	−	16.2660i	−0.468982	−	1.44338i	−0.853905	−	0.520429i	$-0.825772\pi$
$127$	−5.28516	−	16.2660i	−0.468982	−	1.44338i	0.384923	−	0.922949i	$-0.374228\pi$
$128$	18.2897	−	5.94268i	1.61659	−	0.525264i
$129$	9.41788	−	1.49165i	0.829198	−	0.131332i
$130$	−9.10883	−	1.44270i	−0.798897	−	0.126533i
$131$	4.48255	+	1.45647i	0.391643	+	0.127252i	0.498217	−	0.867052i	$-0.333988\pi$
$131$	4.48255	+	1.45647i	0.391643	+	0.127252i	−0.106575	+	0.994305i	$0.533988\pi$
$132$		−	39.4636i		−	3.43487i
$133$	−1.63490	+	5.03171i	−0.141764	+	0.436305i
$134$	10.3604	−	5.27888i	0.895001	−	0.456026i
$135$	−1.36674	+	2.68237i	−0.117630	+	0.230862i
$136$	−3.55553	−	22.4488i	−0.304885	−	1.92497i
$137$	1.28992	−	1.28992i	0.110205	−	0.110205i	−0.649854	−	0.760059i	$-0.725170\pi$
$137$	1.28992	−	1.28992i	0.110205	−	0.110205i	0.760059	+	0.649854i	$0.225170\pi$
$138$	−17.2268	−	8.77748i	−1.46644	−	0.747189i
$139$	−5.48800	+	3.98727i	−0.465486	+	0.338196i	−0.795680	−	0.605718i	$-0.792886\pi$
$139$	−5.48800	+	3.98727i	−0.465486	+	0.338196i	0.330193	+	0.943913i	$0.392886\pi$
$140$	−1.28191	−	2.51589i	−0.108341	−	0.212632i
$141$	13.6458	+	9.91424i	1.14918	+	0.834930i
$142$	−0.506938	+	3.20068i	−0.0425413	+	0.268595i
$143$	−15.8495	−	21.8150i	−1.32540	−	1.82426i
$144$	−0.365394	−	0.502922i	−0.0304495	−	0.0419102i
$145$	0.410561	−	2.59218i	0.0340952	−	0.215269i
$146$	7.70668	+	5.59923i	0.637809	+	0.463395i
$147$	−0.938877	−	1.84265i	−0.0774373	−	0.151979i
$148$	−16.9545	+	12.3182i	−1.39365	+	1.01255i
$149$	−10.4895	−	5.34466i	−0.859333	−	0.437852i	−0.0319495	−	0.999489i	$-0.510172\pi$
$149$	−10.4895	−	5.34466i	−0.859333	−	0.437852i	−0.827383	+	0.561638i	$0.810172\pi$
$150$	−14.4877	+	14.4877i	−1.18292	+	1.18292i
$151$	0.259077	+	1.63575i	0.0210834	+	0.133115i	0.995985	−	0.0895211i	$-0.0285337\pi$
$151$	0.259077	+	1.63575i	0.0210834	+	0.133115i	−0.974902	+	0.222637i	$0.928534\pi$
$152$	−7.45260	+	14.6266i	−0.604486	+	1.18637i
$153$	8.33376	−	4.24626i	0.673745	−	0.343290i
$154$	4.07781	−	12.5502i	0.328599	−	1.01132i
$155$			3.55940i			0.285898i
$156$	−31.0491	−	10.0885i	−2.48592	−	0.807724i
$157$	1.57567	+	0.249561i	0.125752	+	0.0199172i	0.218993	−	0.975726i	$-0.429723\pi$
$157$	1.57567	+	0.249561i	0.125752	+	0.0199172i	−0.0932411	+	0.995644i	$0.529723\pi$
$158$	−15.3460	+	2.43056i	−1.22086	+	0.193365i
$159$	−2.73253	+	0.887854i	−0.216704	+	0.0704114i
$160$	1.32624	+	4.08174i	0.104848	+	0.322690i
$161$	−2.86008	−	2.86008i	−0.225406	−	0.225406i
$162$	−15.2164	+	20.9436i	−1.19552	+	1.64549i
$163$	5.08506			0.398293			0.199146	−	0.979970i	$-0.436183\pi$
$163$	5.08506			0.398293			0.199146	+	0.979970i	$0.436183\pi$
$164$	17.1982	+	12.7382i	1.34295	+	0.994684i
$165$	9.97448			0.776512
$166$	1.03021	−	1.41797i	0.0799600	−	0.110055i
$167$	12.7497	+	12.7497i	0.986599	+	0.986599i	0.999911	−	0.0133125i	$-0.00423762\pi$
$167$	12.7497	+	12.7497i	0.986599	+	0.986599i	−0.0133125	+	0.999911i	$0.504238\pi$
$168$	−1.98288	−	6.10267i	−0.152982	−	0.470831i
$169$	−8.85162	+	2.87607i	−0.680894	+	0.221236i
$170$	14.1274	−	2.23756i	1.08352	−	0.171613i
$171$	−6.67220	−	1.05677i	−0.510236	−	0.0808134i
$172$	14.6567	+	4.76226i	1.11756	+	0.363119i
$173$		−	9.87750i		−	0.750972i	−0.926828	−	0.375486i	$-0.877476\pi$
$173$		−	9.87750i		−	0.750972i	0.926828	−	0.375486i	$-0.122524\pi$
$174$	4.58886	−	14.1231i	0.347881	−	1.07067i
$175$	−3.81914	+	1.94595i	−0.288700	+	0.147100i
$176$	1.26190	−	2.47662i	0.0951195	−	0.186683i
$177$	−3.15930	−	19.9470i	−0.237467	−	1.49931i
$178$	−4.28688	+	4.28688i	−0.321315	+	0.321315i
$179$	−22.7519	−	11.5927i	−1.70055	−	0.866475i	−0.985969	−	0.166926i	$-0.946616\pi$
$179$	−22.7519	−	11.5927i	−1.70055	−	0.866475i	−0.714584	−	0.699549i	$-0.753384\pi$
$180$	2.91681	−	2.11919i	0.217406	−	0.157955i
$181$	−0.621113	−	1.21900i	−0.0461670	−	0.0906078i	0.866771	−	0.498707i	$-0.166192\pi$
$181$	−0.621113	−	1.21900i	−0.0461670	−	0.0906078i	−0.912938	+	0.408099i	$0.866192\pi$
$182$	−8.83178	−	6.41666i	−0.654655	−	0.475635i
$183$	0.687525	−	4.34086i	0.0508233	−	0.320886i
$184$	−7.37672	−	10.1532i	−0.543819	−	0.748503i
$185$	−3.11343	−	4.28527i	−0.228904	−	0.315059i
$186$	−3.15056	+	19.8918i	−0.231010	+	1.45854i
$187$	33.8341	+	24.5819i	2.47419	+	1.79760i
$188$	12.3761	+	24.2895i	0.902622	+	1.77149i
$189$	−2.88299	+	2.09461i	−0.209707	+	0.152361i
$190$	−9.20473	−	4.69004i	−0.667781	−	0.340252i
$191$	−8.94162	+	8.94162i	−0.646993	+	0.646993i	−0.952265	−	0.305272i	$-0.901252\pi$
$191$	−8.94162	+	8.94162i	−0.646993	+	0.646993i	0.305272	+	0.952265i	$0.401252\pi$
$192$	4.11383	+	25.9737i	0.296890	+	1.87449i
$193$	−5.98196	+	11.7403i	−0.430591	+	0.845082i	0.569148	+	0.822235i	$0.307273\pi$
$193$	−5.98196	+	11.7403i	−0.430591	+	0.845082i	−0.999739	+	0.0228470i	$0.992727\pi$
$194$	3.13083	−	1.59524i	0.224780	−	0.114531i
$195$	2.54987	−	7.84770i	0.182600	−	0.561986i
$196$		−	3.34240i		−	0.238743i
$197$	12.0167	+	3.90448i	0.856158	+	0.278182i	0.704023	−	0.710177i	$-0.251385\pi$
$197$	12.0167	+	3.90448i	0.856158	+	0.278182i	0.152135	+	0.988360i	$0.451385\pi$
$198$	16.6419	+	2.63582i	1.18269	+	0.187320i
$199$	−10.4955	+	1.66233i	−0.744008	+	0.117839i	−0.516919	−	0.856035i	$-0.672921\pi$
$199$	−10.4955	+	1.66233i	−0.744008	+	0.117839i	−0.227090	+	0.973874i	$0.572921\pi$
$200$	−12.6486	+	4.10978i	−0.894391	+	0.290605i
$201$	3.21493	+	9.89453i	0.226763	+	0.697906i
$202$	−11.2089	−	11.2089i	−0.788659	−	0.788659i
$203$	1.82604	−	2.51333i	0.128163	−	0.176401i
$204$	50.6339			3.54508
$205$	−3.21959	+	4.34686i	−0.224866	+	0.303598i
$206$	31.0849			2.16579
$207$	3.03565	−	4.17821i	0.210992	−	0.290406i
$208$	−1.62596	−	1.62596i	−0.112740	−	0.112740i
$209$	−9.33400	−	28.7271i	−0.645646	−	1.98709i
$210$	3.84051	−	1.24786i	0.265020	−	0.0861104i
$211$	−22.4129	+	3.54986i	−1.54297	+	0.244383i	−0.869164	−	0.494524i	$-0.835342\pi$
$211$	−22.4129	+	3.54986i	−1.54297	+	0.244383i	−0.673807	+	0.738907i	$0.735342\pi$
$212$	−4.58645	−	0.726422i	−0.314998	−	0.0498908i
$213$	−2.75754	−	0.895980i	−0.188944	−	0.0613916i
$214$			40.3666i			2.75940i
$215$	−1.20367	+	3.70450i	−0.0820894	+	0.252645i
$216$	−9.85185	+	5.01977i	−0.670334	+	0.341552i
$217$	−1.91281	+	3.75410i	−0.129850	+	0.254845i
$218$	7.03547	+	44.4202i	0.476502	+	3.00852i
$219$	−6.02682	+	6.02682i	−0.407255	+	0.407255i
$220$	14.3638	+	7.31870i	0.968404	+	0.493427i
$221$	27.9898	−	20.3358i	1.88280	−	1.36793i
$222$	−13.6065	−	26.7042i	−0.913206	−	1.79227i
$223$	−14.1733	−	10.2975i	−0.949118	−	0.689574i	0.00148044	−	0.999999i	$-0.499529\pi$
$223$	−14.1733	−	10.2975i	−0.949118	−	0.689574i	−0.950598	+	0.310425i	$0.899529\pi$
$224$	−0.794728	+	5.01772i	−0.0531000	+	0.335260i
$225$	−3.21694	−	4.42774i	−0.214463	−	0.295182i
$226$	−18.4231	−	25.3573i	−1.22549	−	1.68674i
$227$	−1.50197	+	9.48308i	−0.0996895	+	0.629414i	0.886364	+	0.462988i	$0.153223\pi$
$227$	−1.50197	+	9.48308i	−0.0996895	+	0.629414i	−0.986054	+	0.166426i	$0.946777\pi$
$228$	−29.5861	−	21.4956i	−1.95939	−	1.42358i
$229$	8.22569	+	16.1438i	0.543569	+	1.06681i	0.985486	+	0.169758i	$0.0542988\pi$
$229$	8.22569	+	16.1438i	0.543569	+	1.06681i	−0.441916	+	0.897056i	$0.645701\pi$
$230$	6.38956	−	4.64229i	0.421315	−	0.306104i
$231$	10.5201	+	5.36024i	0.692170	+	0.352678i
$232$	6.81600	−	6.81600i	0.447492	−	0.447492i
$233$	1.90490	+	12.0270i	0.124794	+	0.787918i	0.968115	+	0.250507i	$0.0805974\pi$
$233$	1.90490	+	12.0270i	0.124794	+	0.787918i	−0.843321	+	0.537411i	$0.819403\pi$
$234$	6.32815	−	12.4197i	0.413684	−	0.811901i
$235$	−6.13921	+	3.12808i	−0.400478	+	0.204054i
$236$	10.0864	−	31.0428i	0.656571	−	2.02072i
$237$		−	13.9017i		−	0.903013i
$238$	16.1026	+	5.23204i	1.04377	+	0.339143i
$239$	−2.09937	−	0.332507i	−0.135797	−	0.0215081i	0.0881660	−	0.996106i	$-0.471899\pi$
$239$	−2.09937	−	0.332507i	−0.135797	−	0.0215081i	−0.223963	+	0.974598i	$0.571899\pi$
$240$	0.840113	−	0.133061i	0.0542291	−	0.00858904i
$241$	6.29075	−	2.04399i	0.405223	−	0.131665i	−0.0993116	−	0.995056i	$-0.531664\pi$
$241$	6.29075	−	2.04399i	0.405223	−	0.131665i	0.504535	+	0.863391i	$0.331664\pi$
$242$	15.4243	+	47.4710i	0.991510	+	3.05155i
$243$	−8.81898	−	8.81898i	−0.565738	−	0.565738i
$244$	4.17515	−	5.74660i	0.267286	−	0.367888i
$245$	0.844797			0.0539721
$246$	−21.8404	+	21.4428i	−1.39249	+	1.36714i
$247$	−24.9880			−1.58995
$248$	−7.68414	+	10.5763i	−0.487943	+	0.671596i
$249$	1.10889	+	1.10889i	0.0702728	+	0.0702728i
$250$	−5.60334	−	17.2453i	−0.354386	−	1.09069i
$251$	19.0846	−	6.20097i	1.20461	−	0.391402i	0.363156	−	0.931729i	$-0.381699\pi$
$251$	19.0846	−	6.20097i	1.20461	−	0.391402i	0.841455	+	0.540327i	$0.181699\pi$
$252$	4.21520	−	0.667623i	0.265533	−	0.0420563i
$253$	22.8081	+	3.61244i	1.43393	+	0.227112i
$254$	37.5967	+	12.2159i	2.35903	+	0.766495i
$255$			12.7978i			0.801429i
$256$	−5.87674	+	18.0867i	−0.367296	+	1.13042i
$257$	−24.2602	+	12.3612i	−1.51331	+	0.771069i	−0.996384	−	0.0849627i	$-0.972923\pi$
$257$	−24.2602	+	12.3612i	−1.51331	+	0.771069i	−0.516924	+	0.856032i	$0.672923\pi$
$258$	−10.0057	+	19.6373i	−0.622929	+	1.22257i
$259$	−0.980846	−	6.19282i	−0.0609468	−	0.384803i
$260$	9.43014	−	9.43014i	0.584833	−	0.584833i
$261$	3.53438	+	1.80086i	0.218773	+	0.111470i
$262$	−8.81344	+	6.40334i	−0.544496	+	0.395599i
$263$	−10.4525	−	20.5142i	−0.644531	−	1.26496i	−0.949848	−	0.312712i	$-0.898763\pi$
$263$	−10.4525	−	20.5142i	−0.644531	−	1.26496i	0.305317	−	0.952251i	$-0.401237\pi$
$264$	29.6379	+	21.5332i	1.82409	+	1.32528i
$265$	0.183604	−	1.15923i	0.0112787	−	0.0712109i
$266$	−7.18781	−	9.89317i	−0.440713	−	0.606589i
$267$	−3.18837	−	4.38841i	−0.195125	−	0.268566i
$268$	−2.63038	+	16.6076i	−0.160676	+	1.01447i
$269$	6.72283	+	4.88442i	0.409898	+	0.297808i	0.773561	−	0.633722i	$-0.218474\pi$
$269$	6.72283	+	4.88442i	0.409898	+	0.297808i	−0.363662	+	0.931531i	$0.618474\pi$
$270$	−3.15902	−	6.19993i	−0.192252	−	0.377316i
$271$	−0.323864	+	0.235301i	−0.0196733	+	0.0142935i	−0.597578	−	0.801810i	$-0.703870\pi$
$271$	−0.323864	+	0.235301i	−0.0196733	+	0.0142935i	0.577905	+	0.816104i	$0.303870\pi$
$272$	3.17764	+	1.61909i	0.192673	+	0.0981717i
$273$	6.90667	−	6.90667i	0.418011	−	0.418011i
$274$	0.659594	+	4.16452i	0.0398476	+	0.251588i
$275$	11.1098	−	21.8042i	0.669947	−	1.31485i
$276$	24.9112	−	12.6929i	1.49948	−	0.764022i
$277$	3.46283	−	10.6575i	0.208061	−	0.640347i	−0.791512	−	0.611153i	$-0.790706\pi$
$277$	3.46283	−	10.6575i	0.208061	−	0.640347i	0.999574	−	0.0291938i	$-0.00929399\pi$
$278$		−	15.6792i		−	0.940378i
$279$	−5.11647	−	1.66244i	−0.306315	−	0.0995279i
$280$	2.58895	+	0.410050i	0.154720	+	0.0245052i
$281$	−23.2547	+	3.68318i	−1.38726	+	0.219720i	−0.804995	−	0.593281i	$-0.797832\pi$
$281$	−23.2547	+	3.68318i	−1.38726	+	0.219720i	−0.582262	+	0.813001i	$0.697832\pi$
$282$	−37.0779	+	12.0474i	−2.20796	+	0.717409i
$283$	−0.439522	−	1.35271i	−0.0261269	−	0.0804102i	0.937143	−	0.348946i	$-0.113460\pi$
$283$	−0.439522	−	1.35271i	−0.0261269	−	0.0804102i	−0.963270	+	0.268536i	$0.913460\pi$
$284$	−3.31359	−	3.31359i	−0.196625	−	0.196625i
$285$	5.43303	−	7.47793i	0.321825	−	0.442954i
$286$	62.3255			3.68539
$287$	−5.73168	+	2.85444i	−0.338331	+	0.168492i
$288$	−6.48673			−0.382234
$289$	−21.5475	+	29.6576i	−1.26750	+	1.74457i
$290$	4.28942	+	4.28942i	0.251883	+	0.251883i
$291$	0.971526	+	2.99005i	0.0569518	+	0.175280i
$292$	−13.1011	+	4.25679i	−0.766681	+	0.249110i
$293$	17.3608	−	2.74969i	1.01423	−	0.160638i	0.372875	−	0.927882i	$-0.378372\pi$
$293$	17.3608	−	2.74969i	1.01423	−	0.160638i	0.641356	+	0.767243i	$0.278372\pi$
$294$	4.72118	+	0.747761i	0.275345	+	0.0436103i
$295$	7.84612	+	2.54936i	0.456819	+	0.148429i
$296$		−	19.4545i		−	1.13077i
$297$	6.28700	−	19.3494i	0.364809	−	1.12277i
$298$	24.2450	−	12.3535i	1.40448	−	0.715617i
$299$	8.67285	−	17.0214i	0.501564	−	0.984374i
$300$	−4.63487	−	29.2634i	−0.267595	−	1.68953i
$301$	−3.26029	+	3.26029i	−0.187920	+	0.187920i
$302$	−3.41072	−	1.73785i	−0.196265	−	0.100002i
$303$	11.4744	−	8.33666i	0.659189	−	0.478929i
$304$	−1.16939	−	2.29506i	−0.0670692	−	0.131631i
$305$	1.45246	+	1.05527i	0.0831676	+	0.0604248i
$306$	−3.38190	+	21.3525i	−0.193331	+	1.22064i
$307$	3.55782	+	4.89691i	0.203055	+	0.279482i	0.898385	−	0.439210i	$-0.144741\pi$
$307$	3.55782	+	4.89691i	0.203055	+	0.279482i	−0.695329	+	0.718691i	$0.744741\pi$
$308$	11.2164	+	15.4380i	0.639114	+	0.879664i
$309$	−4.35086	+	27.4703i	−0.247512	+	1.56273i
$310$	−6.65584	−	4.83575i	−0.378027	−	0.274652i
$311$	4.95071	+	9.71632i	0.280729	+	0.550962i	0.987715	−	0.156266i	$-0.0499456\pi$
$311$	4.95071	+	9.71632i	0.280729	+	0.550962i	−0.706986	+	0.707228i	$0.749946\pi$
$312$	24.5185	−	17.8137i	1.38809	−	1.00850i
$313$	5.01653	+	2.55605i	0.283551	+	0.144476i	0.589982	−	0.807417i	$-0.299135\pi$
$313$	5.01653	+	2.55605i	0.283551	+	0.144476i	−0.306431	+	0.951893i	$0.599135\pi$
$314$	−2.60735	+	2.60735i	−0.147141	+	0.147141i
$315$	0.168743	+	1.06540i	0.00950756	+	0.0600284i
$316$	10.2003	−	20.0192i	0.573810	−	1.12617i
$317$	−6.86205	+	3.49639i	−0.385411	+	0.196377i	−0.635951	−	0.771729i	$-0.719392\pi$
$317$	−6.86205	+	3.49639i	−0.385411	+	0.196377i	0.250540	+	0.968106i	$0.419392\pi$
$318$	2.05215	−	6.31588i	0.115079	−	0.354177i
$319$			17.7365i			0.993054i
$320$	−10.2167	−	3.31961i	−0.571132	−	0.185572i
$321$	−35.6726	−	5.64999i	−1.99105	−	0.315352i
$322$	9.23382	−	1.46249i	0.514580	−	0.0815015i
$323$	36.8584	−	11.9760i	2.05086	−	0.666363i
$324$	−11.5682	−	35.6034i	−0.642680	−	1.97797i
$325$	−14.3150	−	14.3150i	−0.794053	−	0.794053i
$326$	−6.90849	+	9.50872i	−0.382626	+	0.526639i
$327$	−40.2397			−2.22526
$328$	−18.9507	+	5.96561i	−1.04638	+	0.329395i
$329$	−8.15603			−0.449657
$330$	−13.5512	+	18.6516i	−0.745968	+	1.02674i
$331$	17.9091	+	17.9091i	0.984372	+	0.984372i	0.999880	−	0.0155077i	$-0.00493644\pi$
$331$	17.9091	+	17.9091i	0.984372	+	0.984372i	−0.0155077	+	0.999880i	$0.504936\pi$
$332$	0.783215	+	2.41049i	0.0429845	+	0.132293i
$333$	7.61402	−	2.47395i	0.417246	−	0.135571i
$334$	−41.1625	+	6.51951i	−2.25231	+	0.356731i
$335$	−4.19758	−	0.664831i	−0.229338	−	0.0363236i
$336$	0.957573	+	0.311134i	0.0522399	+	0.0169738i
$337$		−	27.1419i		−	1.47851i	−0.673424	−	0.739257i	$-0.735177\pi$
$337$		−	27.1419i		−	1.47851i	0.673424	−	0.739257i	$-0.264823\pi$
$338$	6.64763	−	20.4593i	0.361584	−	1.11284i
$339$	24.9873	−	12.7317i	1.35712	−	0.691489i
$340$	−9.39028	+	18.4295i	−0.509260	+	0.999478i
$341$	−3.76299	−	23.7586i	−0.203777	−	1.28660i
$342$	11.0409	−	11.0409i	0.597021	−	0.597021i
$343$	0.891007	+	0.453990i	0.0481098	+	0.0245132i
$344$	−11.5739	+	8.40895i	−0.624024	+	0.453380i
$345$	3.20814	+	6.29634i	0.172721	+	0.338983i
$346$	18.4703	+	13.4194i	0.992967	+	0.721433i
$347$	−1.32941	+	8.39354i	−0.0713663	+	0.450589i	0.925967	+	0.377605i	$0.123252\pi$
$347$	−1.32941	+	8.39354i	−0.0713663	+	0.450589i	−0.997333	+	0.0729840i	$0.976748\pi$
$348$	12.6221	+	17.3729i	0.676616	+	0.931283i
$349$	2.09927	+	2.88940i	0.112371	+	0.154666i	0.861498	−	0.507761i	$-0.169527\pi$
$349$	2.09927	+	2.88940i	0.112371	+	0.154666i	−0.749127	+	0.662427i	$0.769527\pi$
$350$	1.54983	−	9.78527i	0.0828421	−	0.523045i
$351$	−13.6165	−	9.89295i	−0.726794	−	0.528047i
$352$	−13.1677	−	25.8430i	−0.701839	−	1.37744i
$353$	−14.8885	+	10.8171i	−0.792435	+	0.575738i	−0.908685	−	0.417482i	$-0.862913\pi$
$353$	−14.8885	+	10.8171i	−0.792435	+	0.575738i	0.116250	+	0.993220i	$0.462913\pi$
$354$	41.5918	+	21.1921i	2.21058	+	1.12635i
$355$	0.837513	−	0.837513i	0.0444506	−	0.0444506i
$356$	−1.37145	−	8.65898i	−0.0726866	−	0.458925i
$357$	−6.87748	+	13.4978i	−0.363995	+	0.714380i
$358$	52.5878	−	26.7948i	2.77935	−	1.41615i
$359$	9.90462	−	30.4833i	0.522746	−	1.60885i	−0.245984	−	0.969274i	$-0.579111\pi$
$359$	9.90462	−	30.4833i	0.522746	−	1.60885i	0.768730	−	0.639573i	$-0.220889\pi$
$360$			3.34691i			0.176398i
$361$	−8.55098	−	2.77838i	−0.450052	−	0.146231i
$362$	3.12329	+	0.494681i	0.164156	+	0.0259998i
$363$	−44.1099	+	6.98632i	−2.31517	+	0.366687i
$364$	15.0137	−	4.87824i	0.786931	−	0.255689i
$365$	−1.07591	−	3.31131i	−0.0563157	−	0.173322i
$366$	7.18306	+	7.18306i	0.375465	+	0.375465i
$367$	4.16641	−	5.73457i	0.217485	−	0.299342i	−0.686309	−	0.727310i	$-0.740770\pi$
$367$	4.16641	−	5.73457i	0.217485	−	0.299342i	0.903794	+	0.427968i	$0.140770\pi$
$368$	1.96923			0.102653
$369$	−4.74468	−	6.65824i	−0.246998	−	0.346614i
$370$	12.2430			0.636485
$371$	0.816612	−	1.12397i	0.0423964	−	0.0583536i
$372$	−20.5935	−	20.5935i	−1.06772	−	1.06772i
$373$	7.22718	+	22.2430i	0.374209	+	1.15170i	0.944011	+	0.329915i	$0.107020\pi$
$373$	7.22718	+	22.2430i	0.374209	+	1.15170i	−0.569802	+	0.821782i	$0.692980\pi$
$374$	−91.9329	+	29.8708i	−4.75374	+	1.54458i
$375$	16.0243	−	2.53799i	0.827489	−	0.131061i
$376$	−24.9949	−	3.95880i	−1.28901	−	0.204159i
$377$	13.9547	+	4.53416i	0.718704	+	0.233521i
$378$		−	8.23671i		−	0.423650i
$379$	11.8006	−	36.3184i	0.606154	−	1.86555i	0.117501	−	0.993073i	$-0.462512\pi$
$379$	11.8006	−	36.3184i	0.606154	−	1.86555i	0.488654	−	0.872478i	$-0.337488\pi$
$380$	13.3107	−	6.78215i	0.682826	−	0.347917i
$381$	−16.0577	+	31.5151i	−0.822663	+	1.61457i
$382$	−4.57227	−	28.8682i	−0.233938	−	1.47702i
$383$	3.32792	−	3.32792i	0.170049	−	0.170049i	−0.616952	−	0.787001i	$-0.711633\pi$
$383$	3.32792	−	3.32792i	0.170049	−	0.170049i	0.787001	+	0.616952i	$0.211633\pi$
$384$	−35.4358	−	18.0555i	−1.80833	−	0.921389i
$385$	−3.90199	+	2.83496i	−0.198864	+	0.144483i
$386$	−13.8265	−	27.1360i	−0.703749	−	1.38119i
$387$	−4.76287	−	3.46043i	−0.242110	−	0.175903i
$388$	−0.794880	+	5.01867i	−0.0403539	+	0.254784i
$389$	11.5978	+	15.9630i	0.588030	+	0.809354i	0.994547	−	0.104289i	$-0.0332568\pi$
$389$	11.5978	+	15.9630i	0.588030	+	0.809354i	−0.406517	+	0.913643i	$0.633257\pi$
$390$	11.2105	+	15.4299i	0.567664	+	0.781322i
$391$	−4.63496	+	29.2640i	−0.234400	+	1.47994i
$392$	2.51021	+	1.82377i	0.126785	+	0.0921144i
$393$	−4.42515	−	8.68484i	−0.223219	−	0.438092i
$394$	−23.6269	+	17.1659i	−1.19031	+	0.864808i
$395$	5.05987	+	2.57813i	0.254590	+	0.129720i
$396$	−17.2290	+	17.2290i	−0.865789	+	0.865789i
$397$	4.06363	+	25.6567i	0.203948	+	1.28767i	0.850974	+	0.525207i	$0.176012\pi$
$397$	4.06363	+	25.6567i	0.203948	+	1.28767i	−0.647027	+	0.762467i	$0.723988\pi$
$398$	11.1506	−	21.8843i	0.558931	−	1.09696i
$399$	9.74883	−	4.96728i	0.488052	−	0.248675i
$400$	0.644867	−	1.98470i	0.0322433	−	0.0992348i
$401$			22.1954i			1.10839i	0.832388	+	0.554193i	$0.186973\pi$
$401$			22.1954i			1.10839i	−0.832388	+	0.554193i	$0.813027\pi$
$402$	−22.8699	−	7.43087i	−1.14064	−	0.370618i
$403$	−19.6547	−	3.11300i	−0.979071	−	0.155070i
$404$	22.6407	−	3.58594i	1.12642	−	0.178407i
$405$	8.99880	−	2.92389i	0.447154	−	0.145289i
$406$	2.21893	+	6.82916i	0.110124	+	0.338925i
$407$	25.3121	+	25.3121i	1.25468	+	1.25468i
$408$	−27.6282	+	38.0270i	−1.36780	+	1.88262i
$409$	−1.01691			−0.0502830			−0.0251415	−	0.999684i	$-0.508004\pi$
$409$	−1.01691			−0.0502830			−0.0251415	+	0.999684i	$0.508004\pi$
$410$	−3.75425	−	11.9260i	−0.185409	−	0.588983i
$411$	−3.77258			−0.186088
$412$	−26.4216	+	36.3662i	−1.30170	+	1.79163i
$413$	6.90528	+	6.90528i	0.339787	+	0.339787i
$414$	3.68878	+	11.3529i	0.181294	+	0.557965i
$415$	−0.609254	+	0.197959i	−0.0299071	+	0.00971741i
$416$	−23.6989	+	3.75354i	−1.16193	+	0.184032i
$417$	13.8560	+	2.19458i	0.678532	+	0.107469i
$418$	66.3988	+	21.5743i	3.24767	+	1.05523i
$419$			19.5667i			0.955896i	0.878388	+	0.477948i	$0.158619\pi$
$419$			19.5667i			0.955896i	−0.878388	+	0.477948i	$0.841381\pi$
$420$	−1.80450	+	5.55367i	−0.0880503	+	0.270991i
$421$	−28.2823	+	14.4105i	−1.37839	+	0.702326i	−0.976932	−	0.213550i	$-0.931497\pi$
$421$	−28.2823	+	14.4105i	−1.37839	+	0.702326i	−0.401461	+	0.915876i	$0.631497\pi$
$422$	23.8119	−	46.7335i	1.15915	−	2.27495i
$423$	−1.62911	−	10.2858i	−0.0792102	−	0.500113i
$424$	3.04813	−	3.04813i	0.148030	−	0.148030i
$425$	27.9760	+	14.2545i	1.35704	+	0.691444i
$426$	5.42178	−	3.93916i	0.262686	−	0.190853i
$427$	0.964808	+	1.89354i	0.0466903	+	0.0916349i
$428$	−47.2248	−	34.3108i	−2.28270	−	1.65848i
$429$	−8.72353	+	55.0782i	−0.421176	+	2.65920i
$430$	−5.29189	−	7.28366i	−0.255198	−	0.351249i
$431$	−3.74792	−	5.15857i	−0.180531	−	0.248479i	0.709155	−	0.705053i	$-0.249077\pi$
$431$	−3.74792	−	5.15857i	−0.180531	−	0.248479i	−0.889686	+	0.456573i	$0.849077\pi$
$432$	0.271407	−	1.71360i	0.0130581	−	0.0824454i
$433$	12.8165	+	9.31171i	0.615920	+	0.447492i	0.851494	−	0.524364i	$-0.175697\pi$
$433$	12.8165	+	9.31171i	0.615920	+	0.447492i	−0.235574	+	0.971856i	$0.575697\pi$
$434$	−4.42120	−	8.67709i	−0.212224	−	0.416514i
$435$	−4.39101	+	3.19026i	−0.210533	+	0.152961i
$436$	−57.9472	−	29.5256i	−2.77517	−	1.41402i
$437$	15.1317	−	15.1317i	0.723847	−	0.723847i
$438$	−3.08180	−	19.4577i	−0.147254	−	0.929724i
$439$	−7.02656	+	13.7904i	−0.335360	+	0.658180i	−0.995685	−	0.0927994i	$-0.970418\pi$
$439$	−7.02656	+	13.7904i	−0.335360	+	0.658180i	0.660325	+	0.750980i	$0.270418\pi$
$440$	−13.3340	+	6.79402i	−0.635674	+	0.323892i
$441$	−0.394568	+	1.21436i	−0.0187890	+	0.0578265i
$442$			79.9670i			3.80364i
$443$	−23.8115	−	7.73682i	−1.13132	−	0.367587i	−0.317241	−	0.948345i	$-0.602756\pi$
$443$	−23.8115	−	7.73682i	−1.13132	−	0.367587i	−0.814076	+	0.580758i	$0.802756\pi$
$444$	42.8064	+	6.77987i	2.03150	+	0.321759i
$445$	2.18857	−	0.346635i	0.103748	−	0.0164321i
$446$	38.5114	−	12.5131i	1.82357	−	0.592513i
$447$	7.52347	+	23.1549i	0.355848	+	1.09519i
$448$	−8.99161	−	8.99161i	−0.424814	−	0.424814i
$449$	8.28572	−	11.4043i	0.391027	−	0.538203i	−0.567437	−	0.823417i	$-0.692065\pi$
$449$	8.28572	−	11.4043i	0.391027	−	0.538203i	0.958464	+	0.285214i	$0.0920648\pi$
$450$	12.6501			0.596329
$451$	16.8949	−	32.4185i	0.795548	−	1.52653i
$452$	45.3247			2.13190
$453$	2.01316	−	2.77087i	0.0945864	−	0.130187i
$454$	−15.6922	−	15.6922i	−0.736470	−	0.736470i
$455$	1.23298	+	3.79473i	0.0578031	+	0.177900i
$456$	32.2871	−	10.4907i	1.51198	−	0.491273i
$457$	−7.39702	+	1.17157i	−0.346018	+	0.0548038i	−0.327025	−	0.945016i	$-0.606046\pi$
$457$	−7.39702	+	1.17157i	−0.346018	+	0.0548038i	−0.0189931	+	0.999820i	$0.506046\pi$
$458$	−41.3632	−	6.55129i	−1.93278	−	0.306122i
$459$	24.8263	+	8.06656i	1.15879	+	0.376515i
$460$			11.4210i			0.532507i
$461$	−3.09097	+	9.51303i	−0.143961	+	0.443066i	−0.996876	−	0.0789839i	$-0.974832\pi$
$461$	−3.09097	+	9.51303i	−0.143961	+	0.443066i	0.852915	+	0.522050i	$0.174832\pi$
$462$	−24.3157	+	12.3895i	−1.13127	+	0.576411i
$463$	5.98997	−	11.7560i	0.278378	−	0.546347i	−0.708908	−	0.705301i	$-0.750812\pi$
$463$	5.98997	−	11.7560i	0.278378	−	0.546347i	0.987286	+	0.158954i	$0.0508120\pi$
$464$	0.236607	+	1.49388i	0.0109842	+	0.0693517i
$465$	5.20504	−	5.20504i	0.241378	−	0.241378i
$466$	−25.0777	−	12.7777i	−1.16170	−	0.591918i
$467$	−29.0620	+	21.1148i	−1.34483	+	0.977077i	−0.345579	+	0.938390i	$0.612318\pi$
$467$	−29.0620	+	21.1148i	−1.34483	+	0.977077i	−0.999251	+	0.0386870i	$0.987682\pi$
$468$	9.15098	+	17.9598i	0.423004	+	0.830192i
$469$	−4.06991	−	2.95696i	−0.187931	−	0.136540i
$470$	2.49133	−	15.7297i	0.114917	−	0.725556i
$471$	−1.93921	−	2.66910i	−0.0893543	−	0.122986i
$472$	17.8101	+	24.5135i	0.819777	+	1.12833i
$473$	4.11794	−	25.9996i	0.189343	−	1.19546i
$474$	25.9953	+	18.8867i	1.19400	+	0.867493i
$475$	−10.2953	−	20.2057i	−0.472383	−	0.927103i
$476$	−19.8078	+	14.3912i	−0.907891	+	0.659622i
$477$	1.58058	+	0.805348i	0.0723700	+	0.0368744i
$478$	3.47393	−	3.47393i	0.158894	−	0.158894i
$479$	2.95117	+	18.6330i	0.134842	+	0.851362i	0.958670	+	0.284521i	$0.0918346\pi$
$479$	2.95117	+	18.6330i	0.134842	+	0.851362i	−0.823827	+	0.566841i	$0.808165\pi$
$480$	4.02946	−	7.90827i	0.183919	−	0.360961i
$481$	26.3859	−	13.4443i	1.20309	−	0.613006i
$482$	−4.72441	+	14.5402i	−0.215191	+	0.662289i
$483$			8.36479i			0.380611i
$484$	−68.6466	−	22.3046i	−3.12030	−	1.01385i
$485$	−1.26848	−	0.200907i	−0.0575985	−	0.00912271i
$486$	28.4722	−	4.50956i	1.29153	−	0.204558i
$487$	−6.75522	+	2.19490i	−0.306108	+	0.0994606i	−0.458043	−	0.888930i	$-0.651450\pi$
$487$	−6.75522	+	2.19490i	−0.306108	+	0.0994606i	0.151935	+	0.988390i	$0.451450\pi$
$488$	2.03764	+	6.27122i	0.0922398	+	0.283885i
$489$	−7.43606	−	7.43606i	−0.336270	−	0.336270i
$490$	−1.14773	+	1.57971i	−0.0518491	+	0.0713642i
$491$	−12.1146			−0.546725			−0.273363	−	0.961911i	$-0.588136\pi$
$491$	−12.1146			−0.546725			−0.273363	+	0.961911i	$0.588136\pi$
$492$	−6.52203	−	43.7770i	−0.294036	−	1.97362i
$493$	−22.7569			−1.02492
$494$	33.9483	−	46.7259i	1.52741	−	2.10230i
$495$	−4.35465	−	4.35465i	−0.195727	−	0.195727i
$496$	−0.633885	−	1.95090i	−0.0284623	−	0.0875979i
$497$	1.33340	−	0.433248i	0.0598112	−	0.0194338i
$498$	−3.58006	+	0.567025i	−0.160426	+	0.0254090i
$499$	14.5579	+	2.30574i	0.651701	+	0.103219i	0.473526	−	0.880780i	$-0.342981\pi$
$499$	14.5579	+	2.30574i	0.651701	+	0.103219i	0.178175	+	0.983999i	$0.442981\pi$
$500$	24.9380	+	8.10284i	1.11526	+	0.362370i
$501$		−	37.2886i		−	1.66593i
$502$	−14.3327	+	44.1115i	−0.639700	+	1.96879i
$503$	2.22556	−	1.13398i	0.0992330	−	0.0505617i	−0.403670	−	0.914905i	$-0.632265\pi$
$503$	2.22556	−	1.13398i	0.0992330	−	0.0505617i	0.502903	+	0.864343i	$0.332265\pi$
$504$	−1.79862	+	3.52998i	−0.0801167	+	0.157238i
$505$	0.906350	+	5.72247i	0.0403321	+	0.254647i
$506$	−37.7417	+	37.7417i	−1.67783	+	1.67783i
$507$	17.1498	+	8.73826i	0.761650	+	0.388080i
$508$	−46.2479	+	33.6011i	−2.05192	+	1.49081i
$509$	−13.4798	−	26.4556i	−0.597483	−	1.17263i	−0.969659	−	0.244463i	$-0.921388\pi$
$509$	−13.4798	−	26.4556i	−0.597483	−	1.17263i	0.372176	−	0.928162i	$-0.378612\pi$
$510$	−23.9310	−	17.3869i	−1.05968	−	0.769905i
$511$	0.644723	−	4.07062i	0.0285209	−	0.180074i
$512$	−3.22965	−	4.44523i	−0.142732	−	0.196453i
$513$	−11.0819	−	15.2529i	−0.489277	−	0.673432i
$514$	9.84496	−	62.1586i	0.434242	−	2.74170i
$515$	−9.19159	−	6.67808i	−0.405030	−	0.294271i
$516$	−14.4690	−	28.3970i	−0.636963	−	1.25011i
$517$	37.6714	−	27.3699i	1.65679	−	1.20373i
$518$	12.9127	+	6.57936i	0.567352	+	0.289080i
$519$	−14.4442	+	14.4442i	−0.634031	+	0.634031i
$520$	1.93668	+	12.2277i	0.0849292	+	0.536222i
$521$	6.65385	−	13.0589i	0.291510	−	0.572121i	−0.698082	−	0.716017i	$-0.745963\pi$
$521$	6.65385	−	13.0589i	0.291510	−	0.572121i	0.989593	+	0.143896i	$0.0459631\pi$
$522$	−8.16924	+	4.16243i	−0.357558	+	0.182185i
$523$	12.1837	−	37.4977i	0.532757	−	1.63966i	−0.215688	−	0.976462i	$-0.569199\pi$
$523$	12.1837	−	37.4977i	0.532757	−	1.63966i	0.748445	−	0.663196i	$-0.230801\pi$
$524$		−	15.7535i		−	0.688197i
$525$	8.43049	+	2.73923i	0.367937	+	0.119550i
$526$	52.5609	+	8.32483i	2.29177	+	0.362980i
$527$	30.4835	−	4.82812i	1.32788	−	0.210316i
$528$	−5.46698	+	1.77633i	−0.237920	+	0.0773048i
$529$	−2.05184	−	6.31493i	−0.0892106	−	0.274562i
$530$	1.91824	+	1.91824i	0.0833230	+	0.0833230i
$531$	−7.32917	+	10.0877i	−0.318059	+	0.437770i
$532$	17.6835			0.766677
$533$	−21.1872	−	21.5800i	−0.917719	−	0.934733i
$534$	12.5377			0.542560
$535$	8.67210	−	11.9361i	0.374928	−	0.516044i
$536$	−11.0373	−	11.0373i	−0.476740	−	0.476740i
$537$	16.3185	+	50.2232i	0.704195	+	2.16729i
$538$	−18.2671	+	5.93533i	−0.787550	+	0.255890i
$539$	−5.63892	+	0.893117i	−0.242885	+	0.0384693i
$540$	9.93840	+	1.57409i	0.427681	+	0.0677380i
$541$	−39.2765	−	12.7617i	−1.68863	−	0.548669i	−0.702076	−	0.712102i	$-0.747743\pi$
$541$	−39.2765	−	12.7617i	−1.68863	−	0.548669i	−0.986554	+	0.163433i	$0.947743\pi$
$542$		−	0.925280i		−	0.0397442i
$543$	−0.874316	+	2.69087i	−0.0375205	+	0.115476i
$544$	33.1580	−	16.8948i	1.42164	−	0.724359i
$545$	7.46262	−	14.6462i	0.319664	−	0.627375i
$546$	3.53171	+	22.2983i	0.151143	+	0.954280i
$547$	10.3982	−	10.3982i	0.444597	−	0.444597i	−0.448957	−	0.893553i	$-0.648204\pi$
$547$	10.3982	−	10.3982i	0.444597	−	0.444597i	0.893553	+	0.448957i	$0.148204\pi$
$548$	−5.43270	−	2.76810i	−0.232074	−	0.118247i
$549$	−2.19529	+	1.59497i	−0.0936926	+	0.0680717i
$550$	25.6788	+	50.3975i	1.09495	+	2.14896i
$551$	13.2972	+	9.66097i	0.566479	+	0.411571i
$552$	−4.06012	+	25.6346i	−0.172810	+	1.09108i
$553$	3.95116	+	5.43831i	0.168020	+	0.231260i
$554$	15.2242	+	20.9544i	0.646816	+	0.890266i
$555$	−1.71362	+	10.8194i	−0.0727392	+	0.459257i
$556$	18.3431	+	13.3271i	0.777922	+	0.565193i
$557$	5.48686	+	10.7686i	0.232486	+	0.456279i	0.977547	−	0.210717i	$-0.0675798\pi$
$557$	5.48686	+	10.7686i	0.232486	+	0.456279i	−0.745061	+	0.666996i	$0.767580\pi$
$558$	10.0598	−	7.30889i	0.425866	−	0.309410i
$559$	−19.4032	−	9.88644i	−0.820669	−	0.418152i
$560$	−0.290831	+	0.290831i	−0.0122899	+	0.0122899i
$561$	−13.5298	−	85.4237i	−0.571228	−	3.60659i
$562$	24.7062	−	48.4886i	1.04217	−	2.04537i
$563$	−34.2144	+	17.4331i	−1.44197	+	0.734719i	−0.987731	−	0.156163i	$-0.950088\pi$
$563$	−34.2144	+	17.4331i	−1.44197	+	0.734719i	−0.454236	+	0.890882i	$0.650088\pi$
$564$	17.4214	−	53.6175i	0.733572	−	2.25770i
$565$			11.4559i			0.481953i
$566$	3.12660	+	1.01590i	0.131421	+	0.0427013i
$567$	11.0623	+	1.75210i	0.464573	+	0.0735812i
$568$	4.29661	−	0.680516i	0.180282	−	0.0285538i
$569$	16.5432	−	5.37520i	0.693526	−	0.225340i	0.0590181	−	0.998257i	$-0.481203\pi$
$569$	16.5432	−	5.37520i	0.693526	−	0.225340i	0.634507	+	0.772917i	$0.281203\pi$
$570$	6.60199	+	20.3188i	0.276527	+	0.851062i
$571$	−4.40298	−	4.40298i	−0.184259	−	0.184259i	0.608950	−	0.793209i	$-0.291591\pi$
$571$	−4.40298	−	4.40298i	−0.184259	−	0.184259i	−0.793209	+	0.608950i	$0.791591\pi$
$572$	−52.9755	+	72.9146i	−2.21502	+	3.04871i
$573$	26.1513			1.09249
$574$	2.44938	−	14.5959i	0.102235	−	0.609219i
$575$	17.3371			0.723008
$576$	9.54357	−	13.1356i	0.397649	−	0.547316i
$577$	2.45434	+	2.45434i	0.102175	+	0.102175i	0.756347	−	0.654171i	$-0.226982\pi$
$577$	2.45434	+	2.45434i	0.102175	+	0.102175i	−0.654171	+	0.756347i	$0.726982\pi$
$578$	−26.1836	−	80.5848i	−1.08909	−	3.35189i
$579$	25.9158	−	8.42056i	1.07702	−	0.349946i
$580$	−8.66411	+	1.37226i	−0.359757	+	0.0569800i
$581$	−0.748962	−	0.118624i	−0.0310722	−	0.00492135i
$582$	−6.91109	−	2.24555i	−0.286474	−	0.0930810i
$583$			7.93182i			0.328503i
$584$	3.95162	−	12.1618i	0.163519	−	0.503260i
$585$	−4.53936	+	2.31292i	−0.187680	+	0.0956275i
$586$	−18.4445	+	36.1993i	−0.761933	+	1.49538i
$587$	6.04172	+	38.1459i	0.249369	+	1.57445i	0.721178	+	0.692750i	$0.243601\pi$
$587$	6.04172	+	38.1459i	0.249369	+	1.57445i	−0.471809	+	0.881701i	$0.656399\pi$
$588$	−4.88772	+	4.88772i	−0.201566	+	0.201566i
$589$	−19.8616	−	10.1200i	−0.818385	−	0.416988i
$590$	−15.4268	+	11.2082i	−0.635109	+	0.461434i
$591$	−11.8629	−	23.2822i	−0.487973	−	0.957700i
$592$	2.46962	+	1.79428i	0.101501	+	0.0737445i
$593$	1.10584	−	6.98198i	0.0454113	−	0.286715i	−0.954524	−	0.298136i	$-0.903635\pi$
$593$	1.10584	−	6.98198i	0.0454113	−	0.286715i	0.999935	+	0.0114202i	$0.00363524\pi$
$594$	27.6406	+	38.0441i	1.13411	+	1.56097i
$595$	−3.63741	−	5.00646i	−0.149119	−	0.205245i
$596$	−6.15553	+	38.8645i	−0.252140	+	1.59195i
$597$	17.7789	+	12.9171i	0.727640	+	0.528662i
$598$	20.0461	+	39.3427i	0.819746	+	1.60884i
$599$	−2.65564	+	1.92944i	−0.108507	+	0.0788347i	−0.640715	−	0.767778i	$-0.721362\pi$
$599$	−2.65564	+	1.92944i	−0.108507	+	0.0788347i	0.532209	+	0.846613i	$0.321362\pi$
$600$	24.5064	+	12.4866i	1.00047	+	0.509764i
$601$	0.251013	−	0.251013i	0.0102390	−	0.0102390i	−0.701969	−	0.712208i	$-0.747695\pi$
$601$	0.251013	−	0.251013i	0.0102390	−	0.0102390i	0.712208	+	0.701969i	$0.247695\pi$
$602$	−1.66714	−	10.5259i	−0.0679476	−	0.429004i
$603$	2.91617	−	5.72331i	0.118756	−	0.233071i
$604$	4.93216	−	2.51306i	0.200687	−	0.102255i
$605$	5.63753	−	17.3505i	0.229198	−	0.705399i
$606$			32.7825i			1.33170i
$607$	12.0607	+	3.91877i	0.489530	+	0.159058i	0.543373	−	0.839491i	$-0.317147\pi$
$607$	12.0607	+	3.91877i	0.489530	+	0.159058i	−0.0538427	+	0.998549i	$0.517147\pi$
$608$	−26.5470	−	4.20463i	−1.07662	−	0.170520i
$609$	−6.34563	+	1.00505i	−0.257138	+	0.0407266i
$610$	−3.94658	+	1.28232i	−0.159792	+	0.0519197i
$611$	−11.9037	−	36.6359i	−0.481574	−	1.48213i
$612$	−22.1057	−	22.1057i	−0.893570	−	0.893570i
$613$	−11.5357	+	15.8776i	−0.465923	+	0.641288i	−0.975724	−	0.219004i	$-0.929719\pi$
$613$	−11.5357	+	15.8776i	−0.465923	+	0.641288i	0.509801	+	0.860293i	$0.329719\pi$
$614$	−13.9905			−0.564611
$615$	11.0647	−	1.64845i	0.446171	−	0.0664720i
$616$	−17.7144			−0.713735
$617$	−1.68739	+	2.32250i	−0.0679319	+	0.0935002i	−0.841631	−	0.540053i	$-0.818404\pi$
$617$	−1.68739	+	2.32250i	−0.0679319	+	0.0935002i	0.773699	+	0.633553i	$0.218404\pi$
$618$	−45.4565	−	45.4565i	−1.82853	−	1.82853i
$619$	8.06290	+	24.8151i	0.324075	+	0.997402i	0.971856	+	0.235575i	$0.0756973\pi$
$619$	8.06290	+	24.8151i	0.324075	+	0.997402i	−0.647781	+	0.761827i	$0.724303\pi$
$620$	11.3147	−	3.67636i	0.454409	−	0.147646i
$621$	14.2363	−	2.25481i	0.571284	−	0.0904825i
$622$	−24.8948	−	3.94295i	−0.998192	−	0.158098i
$623$	2.49456	+	0.810532i	0.0999425	+	0.0324733i
$624$			4.75540i			0.190368i
$625$	4.57472	−	14.0795i	0.182989	−	0.563182i
$626$	−11.5950	+	5.90796i	−0.463430	+	0.236129i
$627$	−28.3592	+	55.6581i	−1.13256	+	2.22277i
$628$	−0.834135	−	5.26652i	−0.0332856	−	0.210157i
$629$	−32.4768	+	32.4768i	−1.29494	+	1.29494i
$630$	−2.22147	−	1.13190i	−0.0885057	−	0.0450959i
$631$	16.8798	−	12.2639i	0.671973	−	0.488217i	−0.198712	−	0.980058i	$-0.563676\pi$
$631$	16.8798	−	12.2639i	0.671973	−	0.488217i	0.870685	+	0.491841i	$0.163676\pi$
$632$	9.46901	+	18.5840i	0.376657	+	0.739231i
$633$	37.9663	+	27.5842i	1.50903	+	1.09637i
$634$	2.78467	−	17.5817i	0.110593	−	0.698260i
$635$	−8.49272	−	11.6892i	−0.337023	−	0.463873i
$636$	5.64465	+	7.76919i	0.223825	+	0.308069i
$637$	−0.738847	+	4.66490i	−0.0292742	+	0.184830i
$638$	−33.1661	−	24.0966i	−1.31306	−	0.953993i
$639$	0.812719	+	1.59505i	0.0321507	+	0.0630993i
$640$	13.1435	−	9.54929i	0.519541	−	0.377469i
$641$	1.95946	+	0.998396i	0.0773941	+	0.0394343i	0.492259	−	0.870449i	$-0.336171\pi$
$641$	1.95946	+	0.998396i	0.0773941	+	0.0394343i	−0.414865	+	0.909883i	$0.636171\pi$
$642$	59.0294	−	59.0294i	2.32971	−	2.32971i
$643$	6.26474	+	39.5540i	0.247057	+	1.55986i	0.729532	+	0.683947i	$0.239738\pi$
$643$	6.26474	+	39.5540i	0.247057	+	1.55986i	−0.482474	+	0.875910i	$0.660262\pi$
$644$	−6.13760	+	12.0457i	−0.241855	+	0.474668i
$645$	7.17739	−	3.65706i	0.282609	−	0.143997i
$646$	−27.6809	+	85.1932i	−1.08909	+	3.35188i
$647$			27.7673i			1.09164i	0.837901	+	0.545822i	$0.183783\pi$
$647$			27.7673i			1.09164i	−0.837901	+	0.545822i	$0.816217\pi$
$648$	33.0510	+	10.7389i	1.29836	+	0.421864i
$649$	−55.0671	−	8.72176i	−2.16157	−	0.342359i
$650$	46.2162	−	7.31993i	1.81275	−	0.287111i
$651$	8.28692	−	2.69258i	0.324790	−	0.105531i
$652$	−5.25215	−	16.1645i	−0.205690	−	0.633049i
$653$	19.8313	+	19.8313i	0.776057	+	0.776057i	0.979158	−	0.203101i	$-0.0651019\pi$
$653$	19.8313	+	19.8313i	0.776057	+	0.776057i	−0.203101	+	0.979158i	$0.565102\pi$
$654$	54.6690	−	75.2455i	2.13773	−	2.94233i
$655$	3.98173			0.155579
$656$	0.990525	−	2.95587i	0.0386735	−	0.115407i
$657$	5.26236			0.205304
$658$	11.0807	−	15.2512i	0.431969	−	0.594555i
$659$	16.8057	+	16.8057i	0.654659	+	0.654659i	0.954111	−	0.299452i	$-0.0968040\pi$
$659$	16.8057	+	16.8057i	0.654659	+	0.654659i	−0.299452	+	0.954111i	$0.596804\pi$
$660$	−10.3022	−	31.7070i	−0.401014	−	1.23419i
$661$	−45.2974	+	14.7180i	−1.76186	+	0.572465i	−0.997391	−	0.0721901i	$-0.977001\pi$
$661$	−45.2974	+	14.7180i	−1.76186	+	0.572465i	−0.764474	+	0.644655i	$0.777001\pi$
$662$	−57.8198	+	9.15776i	−2.24723	+	0.355926i
$663$	−70.6683	−	11.1928i	−2.74453	−	0.434691i
$664$	−2.23768	−	0.727066i	−0.0868388	−	0.0282156i
$665$			4.46953i			0.173321i
$666$	−5.71819	+	17.5988i	−0.221575	+	0.681939i
$667$	−11.1961	+	5.70469i	−0.433514	+	0.220887i
$668$	27.3602	−	53.6975i	1.05860	−	2.07762i
$669$	5.66773	+	35.7846i	0.219127	+	1.38351i
$670$	6.94596	−	6.94596i	0.268346	−	0.268346i
$671$	−10.8106	−	5.50829i	−0.417340	−	0.212645i
$672$	8.49974	−	6.17542i	0.327885	−	0.238222i
$673$	−14.8059	−	29.0582i	−0.570724	−	1.12011i	−0.978349	−	0.206960i	$-0.933643\pi$
$673$	−14.8059	−	29.0582i	−0.570724	−	1.12011i	0.407625	−	0.913149i	$-0.366357\pi$
$674$	50.7535	+	36.8746i	1.95495	+	1.42036i
$675$	2.38947	−	15.0865i	0.0919708	−	0.580681i
$676$	18.2850	+	25.1671i	0.703268	+	0.967965i
$677$	18.1297	+	24.9534i	0.696781	+	0.959037i	0.999981	+	0.00610979i	$0.00194482\pi$
$677$	18.1297	+	24.9534i	0.696781	+	0.959037i	−0.303200	+	0.952927i	$0.598055\pi$
$678$	−10.1400	+	64.0216i	−0.389425	+	2.45874i
$679$	−1.22989	−	0.893570i	−0.0471990	−	0.0342921i
$680$	−8.71709	−	17.1083i	−0.334285	−	0.656072i
$681$	16.0638	−	11.6711i	0.615568	−	0.447236i
$682$	49.5393	+	25.2415i	1.89696	+	0.966548i
$683$	−19.4717	+	19.4717i	−0.745063	+	0.745063i	−0.973548	−	0.228484i	$-0.926623\pi$
$683$	−19.4717	+	19.4717i	−0.745063	+	0.745063i	0.228484	+	0.973548i	$0.426623\pi$
$684$	3.53216	+	22.3012i	0.135056	+	0.852707i
$685$	0.699641	−	1.37312i	0.0267319	−	0.0524643i
$686$	−2.05944	+	1.04934i	−0.0786298	+	0.0400639i
$687$	11.5790	−	35.6364i	0.441766	−	1.35961i
$688$		−	2.24478i		−	0.0855816i
$689$	6.24059	+	2.02769i	0.237748	+	0.0772488i
$690$	−16.1323	−	2.55510i	−0.614145	−	0.0972710i
$691$	−40.6518	+	6.43862i	−1.54647	+	0.244937i	−0.870565	−	0.492054i	$-0.836246\pi$
$691$	−40.6518	+	6.43862i	−1.54647	+	0.244937i	−0.675904	+	0.736990i	$0.736246\pi$
$692$	−31.3987	+	10.2021i	−1.19360	+	0.387825i
$693$	−2.25267	−	6.93301i	−0.0855719	−	0.263363i
$694$	−13.8892	−	13.8892i	−0.527229	−	0.527229i
$695$	−3.36843	+	4.63625i	−0.127772	+	0.175863i
$696$	−19.9345			−0.755617
$697$	41.5947	+	21.6770i	1.57551	+	0.821076i
$698$	−8.25501			−0.312457
$699$	14.8020	−	20.3732i	0.559862	−	0.770584i
$700$	10.1304	+	10.1304i	0.382895	+	0.382895i
$701$	13.3593	+	41.1156i	0.504573	+	1.55291i	0.801488	+	0.598011i	$0.204042\pi$
$701$	13.3593	+	41.1156i	0.504573	+	1.55291i	−0.296915	+	0.954904i	$0.595958\pi$
$702$	36.9983	−	12.0215i	1.39641	−	0.453722i
$703$	32.7641	−	5.18932i	1.23572	−	0.195719i
$704$	71.7048	+	11.3569i	2.70248	+	0.428030i
$705$	13.5519	+	4.40327i	0.510393	+	0.165837i
$706$		−	42.5365i		−	1.60088i
$707$	−2.11931	+	6.52255i	−0.0797047	+	0.245306i
$708$	−60.1448	+	30.6453i	−2.26038	+	1.15172i
$709$	18.9945	−	37.2788i	0.713352	−	1.40003i	−0.194567	−	0.980889i	$-0.562330\pi$
$709$	18.9945	−	37.2788i	0.713352	−	1.40003i	0.907920	−	0.419144i	$-0.137670\pi$
$710$	0.428260	+	2.70393i	0.0160723	+	0.101477i
$711$	−6.06919	+	6.06919i	−0.227612	+	0.227612i
$712$	7.25138	+	3.69476i	0.271757	+	0.138467i
$713$	13.7872	−	10.0170i	0.516334	−	0.375138i
$714$	−15.8964	−	31.1984i	−0.594906	−	1.16757i
$715$	−18.4293	−	13.3896i	−0.689215	−	0.500744i
$716$	−13.3514	+	84.2976i	−0.498966	+	3.15035i
$717$	2.58374	+	3.55621i	0.0964915	+	0.132809i
$718$	43.5454	+	59.9352i	1.62510	+	2.23676i
$719$	−0.822632	+	5.19389i	−0.0306790	+	0.193699i	−0.998268	−	0.0588308i	$-0.981263\pi$
$719$	−0.822632	+	5.19389i	−0.0306790	+	0.193699i	0.967589	+	0.252530i	$0.0812627\pi$
$720$	−0.424867	−	0.308684i	−0.0158339	−	0.0115040i
$721$	−6.10559	−	11.9829i	−0.227384	−	0.446266i
$722$	16.8126	−	12.2151i	0.625701	−	0.454599i
$723$	−12.1882	−	6.21019i	−0.453284	−	0.230960i
$724$	−3.23346	+	3.23346i	−0.120171	+	0.120171i
$725$	2.08310	+	13.1522i	0.0773643	+	0.488459i
$726$	46.8631	−	91.9740i	1.73925	−	3.41348i
$727$	8.45780	−	4.30946i	0.313682	−	0.159829i	−0.290060	−	0.957008i	$-0.593675\pi$
$727$	8.45780	−	4.30946i	0.313682	−	0.159829i	0.603743	+	0.797179i	$0.293675\pi$
$728$	−4.52852	+	13.9373i	−0.167838	+	0.516552i
$729$		−	7.80799i		−	0.289185i
$730$	7.65364	+	2.48682i	0.283274	+	0.0920413i
$731$	33.3589	+	5.28353i	1.23382	+	0.195419i
$732$	−14.5089	+	2.29799i	−0.536265	+	0.0849361i
$733$	−15.6788	+	5.09434i	−0.579108	+	0.188164i	−0.583901	−	0.811825i	$-0.698474\pi$
$733$	−15.6788	+	5.09434i	−0.579108	+	0.188164i	0.00479276	+	0.999989i	$0.498474\pi$
$734$	5.06284	+	15.5818i	0.186873	+	0.575135i
$735$	−1.23538	−	1.23538i	−0.0455675	−	0.0455675i
$736$	12.0781	−	16.6240i	0.445204	−	0.612770i
$737$	28.7212			1.05796
$738$	18.8965	+	0.173557i	0.695590	+	0.00638874i
$739$	−19.8468			−0.730075			−0.365038	−	0.930993i	$-0.618944\pi$
$739$	−19.8468			−0.730075			−0.365038	+	0.930993i	$0.618944\pi$
$740$	−10.4063	+	14.3231i	−0.382545	+	0.526528i
$741$	36.5408	+	36.5408i	1.34236	+	1.34236i
$742$	0.992312	+	3.05402i	0.0364289	+	0.112117i
$743$	15.9205	−	5.17290i	0.584068	−	0.189775i	−0.00205401	−	0.999998i	$-0.500654\pi$
$743$	15.9205	−	5.17290i	0.584068	−	0.189775i	0.586122	+	0.810223i	$0.300654\pi$
$744$	26.7029	−	4.22932i	0.978976	−	0.155055i
$745$	−9.82304	−	1.55582i	−0.359888	−	0.0570007i
$746$	−51.4116	−	16.7046i	−1.88231	−	0.611600i
$747$		−	0.968232i		−	0.0354257i
$748$	43.1954	−	132.942i	1.57938	−	4.86084i
$749$	15.5609	−	7.92867i	0.568582	−	0.289707i
$750$	−17.0244	+	33.4124i	−0.621645	+	1.22005i
$751$	6.71685	+	42.4085i	0.245101	+	1.54751i	0.736418	+	0.676527i	$0.236516\pi$
$751$	6.71685	+	42.4085i	0.245101	+	1.54751i	−0.491317	+	0.870981i	$0.663484\pi$
$752$	2.80781	−	2.80781i	0.102390	−	0.102390i
$753$	−36.9760	−	18.8402i	−1.34748	−	0.686576i
$754$	−27.4372	+	19.9343i	−0.999206	+	0.725965i
$755$	0.635179	+	1.24661i	0.0231165	+	0.0453688i
$756$	9.63611	+	7.00105i	0.350462	+	0.254626i
$757$	−4.93393	+	31.1516i	−0.179327	+	1.13222i	0.719685	+	0.694300i	$0.244286\pi$
$757$	−4.93393	+	31.1516i	−0.179327	+	1.13222i	−0.899012	+	0.437924i	$0.855714\pi$
$758$	51.8809	+	71.4079i	1.88440	+	2.59365i
$759$	−28.0704	−	38.6357i	−1.01889	−	1.40239i
$760$	−2.16943	+	13.6973i	−0.0786936	+	0.496852i
$761$	−36.2750	−	26.3554i	−1.31497	−	0.955381i	−0.999980	−	0.00628559i	$-0.997999\pi$
$761$	−36.2750	−	26.3554i	−1.31497	−	0.955381i	−0.314989	−	0.949095i	$-0.602001\pi$
$762$	−37.1153	−	72.8428i	−1.34454	−	2.63882i
$763$	15.7416	−	11.4370i	0.569886	−	0.414046i
$764$	37.6592	+	19.1883i	1.36246	+	0.694209i
$765$	5.58724	−	5.58724i	0.202007	−	0.202007i
$766$	1.70172	+	10.7443i	0.0614857	+	0.388206i
$767$	−20.9394	+	41.0959i	−0.756079	+	1.48389i
$768$	35.0427	−	17.8551i	1.26449	−	0.644291i
$769$	−5.17002	+	15.9117i	−0.186436	+	0.573790i	−0.999970	−	0.00772680i	$-0.997540\pi$
$769$	−5.17002	+	15.9117i	−0.186436	+	0.573790i	0.813535	+	0.581517i	$0.197540\pi$
$770$		−	11.1480i		−	0.401746i
$771$	53.5527	+	17.4003i	1.92865	+	0.626657i
$772$	43.4986	+	6.88951i	1.56555	+	0.247959i
$773$	8.75525	−	1.38670i	0.314904	−	0.0498760i	0.00301829	−	0.999995i	$-0.499039\pi$
$773$	8.75525	−	1.38670i	0.314904	−	0.0498760i	0.311886	+	0.950119i	$0.399039\pi$
$774$	12.9415	−	4.20496i	0.465174	−	0.151144i
$775$	−5.58074	−	17.1757i	−0.200466	−	0.616971i
$776$	−3.33539	−	3.33539i	−0.119734	−	0.119734i
$777$	−7.62165	+	10.4903i	−0.273425	+	0.376337i
$778$	−45.6062			−1.63506
$779$	−15.1018	−	30.3244i	−0.541080	−	1.08648i
$780$	−27.5801			−0.987525
$781$	−4.70488	+	6.47571i	−0.168354	+	0.231719i
$782$	−48.4247	−	48.4247i	−1.73166	−	1.73166i
$783$	3.42106	+	10.5289i	0.122259	+	0.376273i
$784$	−0.463031	+	0.150448i	−0.0165368	+	0.00537313i
$785$	1.33112	−	0.210829i	0.0475097	−	0.00752480i
$786$	22.2520	+	3.52437i	0.793703	+	0.125710i
$787$	8.90555	+	2.89359i	0.317449	+	0.103145i	0.463407	−	0.886145i	$-0.346627\pi$
$787$	8.90555	+	2.89359i	0.317449	+	0.103145i	−0.145959	+	0.989291i	$0.546627\pi$
$788$		−	42.2318i		−	1.50445i
$789$	−14.7136	+	45.2838i	−0.523818	+	1.61215i
$790$	−11.6952	+	5.95900i	−0.416097	+	0.212012i
$791$	−6.15635	+	12.0825i	−0.218895	+	0.429605i
$792$	−3.53834	−	22.3402i	−0.125729	−	0.793825i
$793$	−7.09743	+	7.09743i	−0.252037	+	0.252037i
$794$	−53.4972	−	27.2582i	−1.89854	−	0.967356i
$795$	−1.96367	+	1.42669i	−0.0696443	+	0.0505996i
$796$	16.1246	+	31.6464i	0.571523	+	1.12168i
$797$	−39.9124	−	28.9981i	−1.41377	−	1.02716i	−0.992761	−	0.120108i	$-0.961676\pi$
$797$	−39.9124	−	28.9981i	−1.41377	−	1.02716i	−0.421009	−	0.907056i	$-0.638324\pi$
$798$	−3.95615	+	24.9781i	−0.140046	+	0.884216i
$799$	35.1171	+	48.3345i	1.24235	+	1.70995i
$800$	−12.7994	−	17.6168i	−0.452527	−	0.622850i
$801$	−0.523914	+	3.30786i	−0.0185116	+	0.116878i
$802$	−41.5039	−	30.1544i	−1.46555	−	1.06479i
$803$	10.6823	+	20.9651i	0.376969	+	0.739844i
$804$	28.1323	−	20.4393i	0.992150	−	0.720839i
$805$	−3.04457	−	1.55129i	−0.107307	−	0.0546757i
$806$	32.5237	−	32.5237i	1.14560	−	1.14560i
$807$	−2.68837	−	16.9737i	−0.0946351	−	0.597502i
$808$	−9.66073	+	18.9602i	−0.339863	+	0.667019i
$809$	−45.5031	+	23.1850i	−1.59980	+	0.815141i	−0.599919	+	0.800061i	$0.704800\pi$
$809$	−45.5031	+	23.1850i	−1.59980	+	0.815141i	−0.999886	+	0.0150802i	$0.995200\pi$
$810$	−6.75817	+	20.7995i	−0.237458	+	0.730820i
$811$		−	19.2168i		−	0.674795i	−0.941362	−	0.337397i	$-0.890453\pi$
$811$		−	19.2168i		−	0.674795i	0.941362	−	0.337397i	$-0.109547\pi$
$812$	−9.87547	−	3.20874i	−0.346561	−	0.112605i
$813$	0.817686	+	0.129509i	0.0286775	+	0.00454207i
$814$	−81.7207	+	12.9433i	−2.86431	+	0.453662i
$815$	4.08559	−	1.32749i	0.143112	−	0.0464999i
$816$	−2.27913	−	7.01443i	−0.0797854	−	0.245554i
$817$	−17.2491	−	17.2491i	−0.603469	−	0.603469i
$818$	1.38156	−	1.90155i	0.0483051	−	0.0664863i
$819$	−6.03062			−0.210727
$820$	17.1433	+	5.74478i	0.598668	+	0.200616i
$821$	−15.2315			−0.531584			−0.265792	−	0.964030i	$-0.585633\pi$
$821$	−15.2315			−0.531584			−0.265792	+	0.964030i	$0.585633\pi$
$822$	5.12537	−	7.05447i	0.178768	−	0.246053i
$823$	−20.0570	−	20.0570i	−0.699144	−	0.699144i	0.265082	−	0.964226i	$-0.414601\pi$
$823$	−20.0570	−	20.0570i	−0.699144	−	0.699144i	−0.964226	+	0.265082i	$0.914601\pi$
$824$	−12.8948	−	39.6861i	−0.449212	−	1.38253i
$825$	−48.1314	+	15.6388i	−1.67572	+	0.544474i
$826$	−22.2938	+	3.53099i	−0.775701	+	0.122859i
$827$	5.78732	+	0.916622i	0.201245	+	0.0318741i	0.256243	−	0.966612i	$-0.417515\pi$
$827$	5.78732	+	0.916622i	0.201245	+	0.0318741i	−0.0549980	+	0.998486i	$0.517515\pi$
$828$	−16.4172	−	5.33426i	−0.570536	−	0.185378i
$829$			30.4106i			1.05620i	0.849181	+	0.528102i	$0.177096\pi$
$829$			30.4106i			1.05620i	−0.849181	+	0.528102i	$0.822904\pi$
$830$	0.457554	−	1.40821i	0.0158819	−	0.0488796i
$831$	−20.6486	+	10.5210i	−0.716294	+	0.364970i
$832$	27.2660	−	53.5125i	0.945278	−	1.85521i
$833$	−1.14592	−	7.23503i	−0.0397037	−	0.250679i
$834$	−22.9283	+	22.9283i	−0.793942	+	0.793942i
$835$	13.5721	+	6.91533i	0.469682	+	0.239315i
$836$	−81.6774	+	59.3421i	−2.82487	+	2.05239i
$837$	−6.81643	−	13.3780i	−0.235610	−	0.462411i
$838$	−36.5884	−	26.5830i	−1.26393	−	0.918296i
$839$	7.29360	−	46.0500i	0.251803	−	1.58982i	−0.460311	−	0.887758i	$-0.652262\pi$
$839$	7.29360	−	46.0500i	0.251803	−	1.58982i	0.712114	−	0.702064i	$-0.247738\pi$
$840$	−3.18629	−	4.38555i	−0.109937	−	0.151316i
$841$	11.3729	+	15.6534i	0.392169	+	0.539774i
$842$	11.4771	−	72.4639i	0.395529	−	2.49727i
$843$	39.3922	+	28.6201i	1.35674	+	0.985728i
$844$	34.4338	+	67.5801i	1.18526	+	2.32620i
$845$	−6.36101	+	4.62155i	−0.218826	+	0.158986i
$846$	21.4471	+	10.9278i	0.737365	+	0.375706i
$847$	15.2700	−	15.2700i	0.524683	−	0.524683i
$848$	0.105812	+	0.668068i	0.00363358	+	0.0229415i
$849$	−1.33539	+	2.62084i	−0.0458303	+	0.0899471i
$850$	−64.6628	+	32.9473i	−2.21791	+	1.13008i
$851$	−7.83689	+	24.1195i	−0.268645	+	0.826804i
$852$			9.69115i			0.332013i
$853$	7.72807	+	2.51100i	0.264604	+	0.0859751i	0.438314	−	0.898822i	$-0.355576\pi$
$853$	7.72807	+	2.51100i	0.264604	+	0.0859751i	−0.173710	+	0.984797i	$0.555576\pi$
$854$	−4.85157	−	0.768414i	−0.166017	−	0.0262946i
$855$	−5.63665	+	0.892758i	−0.192770	+	0.0305317i
$856$	51.5361	−	16.7451i	1.76147	−	0.572335i
$857$	−3.21674	−	9.90011i	−0.109882	−	0.338181i	0.880963	−	0.473184i	$-0.156896\pi$
$857$	−3.21674	−	9.90011i	−0.109882	−	0.338181i	−0.990845	+	0.135003i	$0.956896\pi$
$858$	−91.1409	−	91.1409i	−3.11150	−	3.11150i
$859$	26.2185	−	36.0867i	0.894563	−	1.23126i	−0.0776067	−	0.996984i	$-0.524728\pi$
$859$	26.2185	−	36.0867i	0.894563	−	1.23126i	0.972170	−	0.234277i	$-0.0752721\pi$
$860$	13.0192			0.443949
$861$	12.5558	+	4.20750i	0.427900	+	0.143391i
$862$	14.7380			0.501980
$863$	−11.1258	+	15.3133i	−0.378727	+	0.521272i	−0.955247	−	0.295811i	$-0.904410\pi$
$863$	−11.1258	+	15.3133i	−0.378727	+	0.521272i	0.576520	+	0.817083i	$0.304410\pi$
$864$	−12.8014	−	12.8014i	−0.435511	−	0.435511i
$865$	−2.57859	−	7.93607i	−0.0876746	−	0.269835i
$866$	−34.8245	+	11.3152i	−1.18339	+	0.384505i
$867$	74.8791	−	11.8597i	2.54303	−	0.402776i
$868$	13.9093	+	2.20301i	0.472111	+	0.0747750i
$869$	−36.4996	−	11.8594i	−1.23816	−	0.402304i
$870$		−	12.5451i		−	0.425320i
$871$	7.34228	−	22.5972i	0.248784	−	0.765678i
$872$	53.7929	−	27.4089i	1.82166	−	0.928181i
$873$	0.881244	−	1.72954i	0.0298256	−	0.0585360i
$874$	7.73754	+	48.8529i	0.261726	+	1.65248i
$875$	−5.54729	+	5.54729i	−0.187533	+	0.187533i
$876$	25.3830	+	12.9333i	0.857612	+	0.436975i
$877$	−15.1378	+	10.9983i	−0.511168	+	0.371385i	−0.813266	−	0.581892i	$-0.802313\pi$
$877$	−15.1378	+	10.9983i	−0.511168	+	0.371385i	0.302099	+	0.953277i	$0.402313\pi$
$878$	−16.2410	−	31.8747i	−0.548106	−	1.07572i
$879$	−29.4083	−	21.3664i	−0.991918	−	0.720671i
$880$	0.367336	−	2.31927i	0.0123829	−	0.0781826i
$881$	−29.9838	−	41.2691i	−1.01018	−	1.39039i	−0.918866	−	0.394570i	$-0.870894\pi$
$881$	−29.9838	−	41.2691i	−1.01018	−	1.39039i	−0.0913133	−	0.995822i	$-0.529106\pi$
$882$	−1.73471	−	2.38762i	−0.0584107	−	0.0803954i
$883$	−0.848788	+	5.35904i	−0.0285640	+	0.180346i	−0.997845	−	0.0656081i	$-0.979101\pi$
$883$	−0.848788	+	5.35904i	−0.0285640	+	0.180346i	0.969281	+	0.245954i	$0.0791013\pi$
$884$	−93.5533	−	67.9705i	−3.14654	−	2.28609i
$885$	−7.74564	−	15.2017i	−0.260367	−	0.510999i
$886$	46.8173	−	34.0147i	1.57286	−	1.14275i
$887$	17.8574	+	9.09882i	0.599594	+	0.305508i	0.727317	−	0.686301i	$-0.240767\pi$
$887$	17.8574	+	9.09882i	0.599594	+	0.305508i	−0.127723	+	0.991810i	$0.540767\pi$
$888$	−28.4490	+	28.4490i	−0.954686	+	0.954686i
$889$	−2.67552	−	16.8926i	−0.0897340	−	0.566558i
$890$	−2.32517	+	4.56341i	−0.0779400	+	0.152966i
$891$	−56.9748	+	29.0301i	−1.90873	+	0.972545i
$892$	−18.0949	+	55.6904i	−0.605862	+	1.86465i
$893$		−	43.1508i		−	1.44398i
$894$	−53.5193	−	17.3895i	−1.78995	−	0.581591i
$895$	−21.3063	−	3.37459i	−0.712191	−	0.112800i
$896$	18.9941	−	3.00838i	0.634550	−	0.100503i
$897$	−37.5736	+	12.2084i	−1.25455	+	0.407627i
$898$	10.0684	+	30.9875i	0.335988	+	1.03407i
$899$	9.25555	+	9.25555i	0.308690	+	0.308690i
$900$	−10.7523	+	14.7993i	−0.358410	+	0.493309i
$901$	−10.1770			−0.339044
$902$	37.6673	+	75.6356i	1.25418	+	2.51839i
$903$	9.53528			0.317314
$904$	−24.7313	+	34.0397i	−0.822551	+	1.13214i
$905$	−0.817262	−	0.817262i	−0.0271667	−	0.0271667i
$906$	2.44630	+	7.52894i	0.0812729	+	0.250132i
$907$	−3.20378	+	1.04097i	−0.106380	+	0.0345649i	−0.361723	−	0.932286i	$-0.617811\pi$
$907$	−3.20378	+	1.04097i	−0.106380	+	0.0345649i	0.255343	+	0.966850i	$0.417811\pi$
$908$	31.6963	−	5.02020i	1.05188	−	0.166601i
$909$	−8.64910	−	1.36988i	−0.286873	−	0.0454362i
$910$	−8.77100	−	2.84987i	−0.290756	−	0.0944723i
$911$			3.69669i			0.122477i	0.998123	+	0.0612384i	$0.0195050\pi$
$911$			3.69669i			0.122477i	−0.998123	+	0.0612384i	$0.980495\pi$
$912$	−1.64610	+	5.06619i	−0.0545079	+	0.167758i
$913$	3.85741	−	1.96545i	0.127662	−	0.0650469i
$914$	7.85872	−	15.4236i	0.259943	−	0.510167i
$915$	−0.580819	−	3.66715i	−0.0192013	−	0.121232i
$916$	42.8223	−	42.8223i	1.41489	−	1.41489i
$917$	4.19952	+	2.13976i	0.138681	+	0.0706612i
$918$	−48.8126	+	35.4644i	−1.61106	+	1.17050i
$919$	19.3883	+	38.0516i	0.639560	+	1.25521i	0.952241	+	0.305349i	$0.0987731\pi$
$919$	19.3883	+	38.0516i	0.639560	+	1.25521i	−0.312680	+	0.949858i	$0.601227\pi$
$920$	−8.57738	−	6.23183i	−0.282788	−	0.205457i
$921$	1.95821	−	12.3636i	0.0645252	−	0.407396i
$922$	−13.5894	−	18.7042i	−0.447542	−	0.615989i
$923$	3.89220	+	5.35715i	0.128113	+	0.176333i
$924$	6.17347	−	38.9777i	0.203092	−	1.28227i
$925$	21.7425	+	15.7969i	0.714890	+	0.519398i
$926$	13.8450	+	27.1724i	0.454975	+	0.892939i
$927$	13.8924	−	10.0934i	0.456287	−	0.331512i
$928$	14.0624	+	7.16515i	0.461621	+	0.235208i
$929$	16.7530	−	16.7530i	0.549648	−	0.549648i	−0.376691	−	0.926339i	$-0.622938\pi$
$929$	16.7530	−	16.7530i	0.549648	−	0.549648i	0.926339	+	0.376691i	$0.122938\pi$
$930$	2.66158	+	16.8046i	0.0872767	+	0.551044i
$931$	−2.40191	+	4.71401i	−0.0787193	+	0.154495i
$932$	36.2643	−	18.4776i	1.18788	−	0.605253i
$933$	6.96892	−	21.4481i	0.228152	−	0.702180i
$934$		−	83.0303i		−	2.71684i
$935$	33.6012	+	10.9177i	1.09888	+	0.357047i
$936$	−18.4813	−	2.92716i	−0.604081	−	0.0956771i
$937$	−19.0423	+	3.01600i	−0.622084	+	0.0985284i	−0.459517	−	0.888169i	$-0.651977\pi$
$937$	−19.0423	+	3.01600i	−0.622084	+	0.0985284i	−0.162567	+	0.986697i	$0.551977\pi$
$938$	11.0586	−	3.59317i	0.361077	−	0.117321i
$939$	−3.59804	−	11.0736i	−0.117418	−	0.361375i
$940$	16.2845	+	16.2845i	0.531143	+	0.531143i
$941$	−2.82671	+	3.89063i	−0.0921480	+	0.126831i	−0.852602	−	0.522561i	$-0.824977\pi$
$941$	−2.82671	+	3.89063i	−0.0921480	+	0.126831i	0.760454	+	0.649392i	$0.224977\pi$
$942$	7.62563			0.248456
$943$	25.8980	+	0.237864i	0.843355	+	0.00774590i
$944$	−4.75444			−0.154744
$945$	−1.76952	+	2.43554i	−0.0575626	+	0.0792281i
$946$	43.0230	+	43.0230i	1.39880	+	1.39880i
$947$	−7.13227	−	21.9509i	−0.231768	−	0.713307i	−0.997534	−	0.0701882i	$-0.977640\pi$
$947$	−7.13227	−	21.9509i	−0.231768	−	0.713307i	0.765766	−	0.643119i	$-0.222360\pi$
$948$	−44.1910	+	14.3585i	−1.43526	+	0.466343i
$949$	19.2257	−	3.04506i	0.624094	−	0.0988467i
$950$	51.7705	+	8.19964i	1.67966	+	0.266031i
$951$	15.1475	+	4.92173i	0.491192	+	0.159598i
$952$		−	22.7286i		−	0.736638i
$953$	−6.09335	+	18.7534i	−0.197383	+	0.607482i	0.802558	+	0.596575i	$0.203472\pi$
$953$	−6.09335	+	18.7534i	−0.197383	+	0.607482i	−0.999941	+	0.0109076i	$0.996528\pi$
$954$	−3.65331	+	1.86145i	−0.118280	+	0.0602668i
$955$	−4.84987	+	9.51841i	−0.156938	+	0.308008i
$956$	1.11137	+	7.01693i	0.0359444	+	0.226944i
$957$	25.9367	−	25.9367i	0.838415	−	0.838415i
$958$	−38.8518	−	19.7960i	−1.25525	−	0.639579i
$959$	1.47582	−	1.07225i	0.0476568	−	0.0346247i
$960$	10.0859	+	19.7946i	0.325520	+	0.638869i
$961$	10.7178	+	7.78692i	0.345735	+	0.251191i
$962$	−10.7076	+	67.6050i	−0.345226	+	2.17967i
$963$	13.1073	+	18.0406i	0.422375	+	0.581350i
$964$	−12.9949	−	17.8860i	−0.418539	−	0.576069i
$965$	−1.74133	+	10.9943i	−0.0560554	+	0.353920i
$966$	−15.6416	−	11.3643i	−0.503260	−	0.365640i
$967$	−2.86307	−	5.61909i	−0.0920701	−	0.180698i	0.840379	−	0.541999i	$-0.182332\pi$
$967$	−2.86307	−	5.61909i	−0.0920701	−	0.180698i	−0.932449	+	0.361302i	$0.882332\pi$
$968$	54.2080	−	39.3844i	1.74231	−	1.26586i
$969$	−71.4123	−	36.3864i	−2.29409	−	1.16890i
$970$	2.09902	−	2.09902i	0.0673953	−	0.0673953i
$971$	−5.85498	−	36.9669i	−0.187895	−	1.18632i	−0.883686	−	0.468080i	$-0.844946\pi$
$971$	−5.85498	−	36.9669i	−0.187895	−	1.18632i	0.695791	−	0.718244i	$-0.255054\pi$
$972$	−18.9251	+	37.1427i	−0.607024	+	1.19135i
$973$	−6.04418	+	3.07966i	−0.193768	+	0.0987295i
$974$	5.07322	−	15.6138i	0.162557	−	0.500298i
$975$			41.8667i			1.34081i
$976$	−0.984020	−	0.319727i	−0.0314977	−	0.0102342i
$977$	17.0564	+	2.70146i	0.545682	+	0.0864275i	0.423188	−	0.906042i	$-0.360911\pi$
$977$	17.0564	+	2.70146i	0.545682	+	0.0864275i	0.122494	+	0.992469i	$0.460911\pi$
$978$	24.0075	−	3.80241i	0.767674	−	0.121588i
$979$	−14.2420	+	4.62749i	−0.455175	+	0.147895i
$980$	−0.872557	−	2.68545i	−0.0278728	−	0.0857837i
$981$	17.5678	+	17.5678i	0.560896	+	0.560896i
$982$	16.4588	−	22.6535i	0.525220	−	0.722903i
$983$	40.3955			1.28842			0.644208	−	0.764850i	$-0.277187\pi$
$983$	40.3955			1.28842			0.644208	+	0.764850i	$0.277187\pi$
$984$	36.4360	+	18.9886i	1.16154	+	0.605334i
$985$	10.6741			0.340106
$986$	30.9172	−	42.5539i	0.984604	−	1.35519i
$987$	11.9269	+	11.9269i	0.379636	+	0.379636i
$988$	25.8091	+	79.4322i	0.821097	+	2.52708i
$989$	17.7366	−	5.76297i	0.563991	−	0.183252i
$990$	14.0591	−	2.22674i	0.446826	−	0.0707703i
$991$	−27.4307	−	4.34460i	−0.871365	−	0.138011i	−0.295290	−	0.955408i	$-0.595416\pi$
$991$	−27.4307	−	4.34460i	−0.871365	−	0.138011i	−0.576075	+	0.817397i	$0.695416\pi$
$992$	−20.3572	−	6.61444i	−0.646341	−	0.210009i
$993$		−	52.3782i		−	1.66217i
$994$	−1.00139	+	3.08197i	−0.0317623	+	0.0977542i
$995$	−7.99866	+	4.07552i	−0.253575	+	0.129203i
$996$	2.37962	−	4.67027i	0.0754011	−	0.147983i
$997$	−8.82759	−	55.7352i	−0.279573	−	1.76515i	−0.583168	−	0.812352i	$-0.698187\pi$
$997$	−8.82759	−	55.7352i	−0.279573	−	1.76515i	0.303595	−	0.952801i	$-0.401813\pi$
$998$	−24.0897	+	24.0897i	−0.762547	+	0.762547i
$999$	19.9083	+	10.1438i	0.629871	+	0.320935i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.u.a.8.2	✓	160
41.36	even	20	inner	287.2.u.a.36.2	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.u.a.8.2	✓	160	1.1	even	1	trivial
287.2.u.a.36.2	yes	160	41.36	even	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.u (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35859 + 1.86993i) q^{2} +(-1.46234 - 1.46234i) q^{3} +(-1.03286 - 3.17882i) q^{4} +(0.803450 - 0.261057i) q^{5} +(4.72118 - 0.747761i) q^{6} +(0.987688 + 0.156434i) q^{7} +(2.95092 + 0.958814i) q^{8} +1.27685i q^{9} +O(q^{10})\)	\(q+(-1.35859 + 1.86993i) q^{2} +(-1.46234 - 1.46234i) q^{3} +(-1.03286 - 3.17882i) q^{4} +(0.803450 - 0.261057i) q^{5} +(4.72118 - 0.747761i) q^{6} +(0.987688 + 0.156434i) q^{7} +(2.95092 + 0.958814i) q^{8} +1.27685i q^{9} +(-0.603397 + 1.85706i) q^{10} +(-5.08694 + 2.59193i) q^{11} +(-3.13811 + 6.15888i) q^{12} +(0.738847 + 4.66490i) q^{13} +(-1.63438 + 1.63438i) q^{14} +(-1.55667 - 0.793161i) q^{15} +(-0.393877 + 0.286169i) q^{16} +(-3.32558 - 6.52682i) q^{17} +(-2.38762 - 1.73471i) q^{18} +(-0.827641 + 5.22552i) q^{19} +(-1.65970 - 2.28438i) q^{20} +(-1.21557 - 1.67309i) q^{21} +(2.06432 - 13.0336i) q^{22} +(-3.27228 - 2.37745i) q^{23} +(-2.91313 - 5.71735i) q^{24} +(-3.46770 + 2.51943i) q^{25} +(-9.72683 - 4.95607i) q^{26} +(-2.51982 + 2.51982i) q^{27} +(-0.522867 - 3.30125i) q^{28} +(1.41039 - 2.76805i) q^{29} +(3.59802 - 1.83328i) q^{30} +(-1.30199 + 4.00711i) q^{31} +5.08026i q^{32} +(11.2291 + 3.64855i) q^{33} +(16.7228 + 2.64863i) q^{34} +(0.834396 - 0.132155i) q^{35} +(4.05887 - 1.31881i) q^{36} +(-1.93754 - 5.96313i) q^{37} +(-8.64695 - 8.64695i) q^{38} +(5.74120 - 7.90208i) q^{39} +2.62122 q^{40} +(-5.21458 + 3.71593i) q^{41} +4.78003 q^{42} +(-2.71013 + 3.73017i) q^{43} +(13.4933 + 13.4933i) q^{44} +(0.333330 + 1.02588i) q^{45} +(8.89135 - 2.88897i) q^{46} +(-8.05562 + 1.27588i) q^{47} +(0.994455 + 0.157506i) q^{48} +(0.951057 + 0.309017i) q^{49} -9.90724i q^{50} +(-4.68128 + 14.4075i) q^{51} +(14.0657 - 7.16684i) q^{52} +(0.630731 - 1.23788i) q^{53} +(-1.28850 - 8.13530i) q^{54} +(-3.41046 + 3.41046i) q^{55} +(2.76460 + 1.40864i) q^{56} +(8.85175 - 6.43117i) q^{57} +(3.25993 + 6.39796i) q^{58} +(7.90049 + 5.74004i) q^{59} +(-0.913494 + 5.76758i) q^{60} +(1.24915 + 1.71930i) q^{61} +(-5.72416 - 7.87863i) q^{62} +(-0.199743 + 1.26113i) q^{63} +(-10.2875 - 7.47431i) q^{64} +(1.81143 + 3.55513i) q^{65} +(-22.0782 + 16.0408i) q^{66} +(-4.48237 - 2.28388i) q^{67} +(-17.3127 + 17.3127i) q^{68} +(1.30854 + 8.26180i) q^{69} +(-0.886477 + 1.73981i) q^{70} +(1.24921 - 0.636504i) q^{71} +(-1.22426 + 3.76789i) q^{72} -4.12136i q^{73} +(13.7830 + 4.47836i) q^{74} +(8.75520 + 1.38669i) q^{75} +(17.4658 - 2.76631i) q^{76} +(-5.42978 + 1.76424i) q^{77} +(6.97645 + 21.4713i) q^{78} +(4.75325 + 4.75325i) q^{79} +(-0.241754 + 0.332746i) q^{80} +11.2002 q^{81} +(0.135926 - 14.7993i) q^{82} -0.758298 q^{83} +(-4.06293 + 5.59215i) q^{84} +(-4.37581 - 4.37581i) q^{85} +(-3.29323 - 10.1355i) q^{86} +(-6.11028 + 1.98535i) q^{87} +(-17.4964 + 2.77115i) q^{88} +(2.59064 + 0.410318i) q^{89} +(-2.37119 - 0.770447i) q^{90} +4.72304i q^{91} +(-4.17767 + 12.8575i) q^{92} +(7.76368 - 3.95579i) q^{93} +(8.55843 - 16.7969i) q^{94} +(0.699188 + 4.41450i) q^{95} +(7.42905 - 7.42905i) q^{96} +(-1.35454 - 0.690171i) q^{97} +(-1.86993 + 1.35859i) q^{98} +(-3.30950 - 6.49526i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

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