LMFDB - Embedded newform 260.2.bg.c.23.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(23,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 10]))

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

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

chi := DirichletCharacter("260.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bg (of order $12$, degree $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.19
Character	$\chi$	$=$	260.23
Dual form			260.2.bg.c.147.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.125776 + 1.40861i) q^{2} +(2.12058 + 0.568207i) q^{3} +(-1.96836 - 0.354338i) q^{4} +(1.57238 + 1.58985i) q^{5} +(-1.06710 + 2.91560i) q^{6} +(0.751521 + 2.80471i) q^{7} +(0.746695 - 2.72808i) q^{8} +(1.57591 + 0.909854i) q^{9} +O(q^{10})$	\(q+(-0.125776 + 1.40861i) q^{2} +(2.12058 + 0.568207i) q^{3} +(-1.96836 - 0.354338i) q^{4} +(1.57238 + 1.58985i) q^{5} +(-1.06710 + 2.91560i) q^{6} +(0.751521 + 2.80471i) q^{7} +(0.746695 - 2.72808i) q^{8} +(1.57591 + 0.909854i) q^{9} +(-2.43725 + 2.01490i) q^{10} +(-2.95268 - 5.11419i) q^{11} +(-3.97272 - 1.86984i) q^{12} +(1.02470 - 3.45688i) q^{13} +(-4.04527 + 0.705835i) q^{14} +(2.43099 + 4.26484i) q^{15} +(3.74889 + 1.39493i) q^{16} +(1.54928 + 5.78200i) q^{17} +(-1.47984 + 2.10541i) q^{18} +(-3.52938 - 2.03769i) q^{19} +(-2.53167 - 3.68655i) q^{20} +6.37463i q^{21} +(7.57527 - 3.51593i) q^{22} +(1.15016 + 0.308183i) q^{23} +(3.13354 - 5.36084i) q^{24} +(-0.0552498 + 4.99969i) q^{25} +(4.74050 + 1.87820i) q^{26} +(-1.83225 - 1.83225i) q^{27} +(-0.485449 - 5.78698i) q^{28} +(2.49517 - 1.44059i) q^{29} +(-6.31325 + 2.88790i) q^{30} -5.36203 q^{31} +(-2.43643 + 5.10527i) q^{32} +(-3.35547 - 12.5228i) q^{33} +(-8.33944 + 1.45510i) q^{34} +(-3.27740 + 5.60488i) q^{35} +(-2.77957 - 2.34933i) q^{36} +(1.91368 - 7.14196i) q^{37} +(3.31422 - 4.71523i) q^{38} +(4.13718 - 6.74833i) q^{39} +(5.51133 - 3.10245i) q^{40} +(2.17794 - 1.25743i) q^{41} +(-8.97937 - 0.801774i) q^{42} +(0.113478 + 0.423507i) q^{43} +(3.99979 + 11.1128i) q^{44} +(1.03140 + 3.93610i) q^{45} +(-0.578772 + 1.58136i) q^{46} +(1.91351 - 1.91351i) q^{47} +(7.15720 + 5.08820i) q^{48} +(-1.23946 + 0.715605i) q^{49} +(-7.03567 - 0.706665i) q^{50} +13.1415i q^{51} +(-3.24188 + 6.44129i) q^{52} +(3.15887 + 3.15887i) q^{53} +(2.81138 - 2.35047i) q^{54} +(3.48807 - 12.7358i) q^{55} +(8.21266 + 0.0440539i) q^{56} +(-6.32649 - 6.32649i) q^{57} +(1.71540 + 3.69592i) q^{58} +(10.3630 + 5.98308i) q^{59} +(-3.27387 - 9.25613i) q^{60} +(0.680605 - 1.17884i) q^{61} +(0.674413 - 7.55300i) q^{62} +(-1.36755 + 5.10376i) q^{63} +(-6.88489 - 4.07410i) q^{64} +(7.10713 - 3.80639i) q^{65} +(18.0617 - 3.15148i) q^{66} +(-11.5858 - 3.10440i) q^{67} +(-1.00077 - 11.9300i) q^{68} +(2.26388 + 1.30705i) q^{69} +(-7.48287 - 5.32154i) q^{70} +(0.585562 - 1.01422i) q^{71} +(3.65889 - 3.61984i) q^{72} +(-5.77691 + 5.77691i) q^{73} +(9.81954 + 3.59392i) q^{74} +(-2.95802 + 10.5708i) q^{75} +(6.22506 + 5.26150i) q^{76} +(12.1248 - 12.1248i) q^{77} +(8.98540 + 6.67645i) q^{78} +1.39679 q^{79} +(3.67695 + 8.15353i) q^{80} +(-5.57389 - 9.65427i) q^{81} +(1.49730 + 3.22602i) q^{82} +(-1.47488 - 1.47488i) q^{83} +(2.25877 - 12.5476i) q^{84} +(-6.75645 + 11.5546i) q^{85} +(-0.610829 + 0.106580i) q^{86} +(6.10976 - 1.63711i) q^{87} +(-16.1567 + 4.23642i) q^{88} +(1.09143 + 1.89042i) q^{89} +(-5.67416 + 0.957775i) q^{90} +(10.4656 + 0.276082i) q^{91} +(-2.15472 - 1.01416i) q^{92} +(-11.3706 - 3.04674i) q^{93} +(2.45472 + 2.93606i) q^{94} +(-2.30990 - 8.81520i) q^{95} +(-8.06749 + 9.44173i) q^{96} +(-7.69943 + 2.06306i) q^{97} +(-0.852113 - 1.83593i) q^{98} -10.7460i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) $ 144 * q - 6 * q^2 - 12 * q^6	$ 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−0.125776	+	1.40861i	−0.0889368	+	0.996037i
$2$	−0.125776	+	1.40861i	−0.0889368	+	0.996037i
$3$	2.12058	+	0.568207i	1.22432	+	0.328054i	0.812364	−	0.583151i	$-0.198180\pi$
$3$	2.12058	+	0.568207i	1.22432	+	0.328054i	0.411952	+	0.911205i	$0.364847\pi$
$4$	−1.96836	−	0.354338i	−0.984180	−	0.177169i
$5$	1.57238	+	1.58985i	0.703189	+	0.711003i
$5$	1.57238	+	1.58985i	0.703189	+	0.711003i
$6$	−1.06710	+	2.91560i	−0.435641	+	1.19029i
$7$	0.751521	+	2.80471i	0.284048	+	1.06008i	0.949532	+	0.313670i	$0.101559\pi$
$7$	0.751521	+	2.80471i	0.284048	+	1.06008i	−0.665484	+	0.746412i	$0.731775\pi$
$8$	0.746695	−	2.72808i	0.263997	−	0.964524i
$9$	1.57591	+	0.909854i	0.525304	+	0.303285i
$10$	−2.43725	+	2.01490i	−0.770725	+	0.637168i
$11$	−2.95268	−	5.11419i	−0.890266	−	1.54199i	−0.839556	−	0.543273i	$-0.817185\pi$
$11$	−2.95268	−	5.11419i	−0.890266	−	1.54199i	−0.0507102	−	0.998713i	$-0.516148\pi$
$12$	−3.97272	−	1.86984i	−1.14683	−	0.539775i
$13$	1.02470	−	3.45688i	0.284201	−	0.958765i
$13$	1.02470	−	3.45688i	0.284201	−	0.958765i
$14$	−4.04527	+	0.705835i	−1.08114	+	0.188642i
$15$	2.43099	+	4.26484i	0.627678	+	1.10118i
$16$	3.74889	+	1.39493i	0.937222	+	0.348732i
$17$	1.54928	+	5.78200i	0.375756	+	1.40234i	0.852237	+	0.523156i	$0.175245\pi$
$17$	1.54928	+	5.78200i	0.375756	+	1.40234i	−0.476481	+	0.879185i	$0.658088\pi$
$18$	−1.47984	+	2.10541i	−0.348802	+	0.496250i
$19$	−3.52938	−	2.03769i	−0.809695	−	0.467478i	0.0371549	−	0.999310i	$-0.488171\pi$
$19$	−3.52938	−	2.03769i	−0.809695	−	0.467478i	−0.846850	+	0.531832i	$0.821504\pi$
$20$	−2.53167	−	3.68655i	−0.566098	−	0.824338i
$21$			6.37463i			1.39106i
$22$	7.57527	−	3.51593i	1.61505	−	0.749599i
$23$	1.15016	+	0.308183i	0.239824	+	0.0642607i	0.376729	−	0.926324i	$-0.377049\pi$
$23$	1.15016	+	0.308183i	0.239824	+	0.0642607i	−0.136905	+	0.990584i	$0.543715\pi$
$24$	3.13354	−	5.36084i	0.639632	−	1.09428i
$25$	−0.0552498	+	4.99969i	−0.0110500	+	0.999939i
$26$	4.74050	+	1.87820i	0.929689	+	0.368344i
$27$	−1.83225	−	1.83225i	−0.352617	−	0.352617i
$28$	−0.485449	−	5.78698i	−0.0917412	−	1.09364i
$29$	2.49517	−	1.44059i	0.463342	−	0.267511i	−0.250106	−	0.968218i	$-0.580466\pi$
$29$	2.49517	−	1.44059i	0.463342	−	0.267511i	0.713449	+	0.700708i	$0.247132\pi$
$30$	−6.31325	+	2.88790i	−1.15264	+	0.527256i
$31$	−5.36203			−0.963049			−0.481524	−	0.876433i	$-0.659917\pi$
$31$	−5.36203			−0.963049			−0.481524	+	0.876433i	$0.659917\pi$
$32$	−2.43643	+	5.10527i	−0.430704	+	0.902493i
$33$	−3.35547	−	12.5228i	−0.584112	−	2.17993i
$34$	−8.33944	+	1.45510i	−1.43020	+	0.249547i
$35$	−3.27740	+	5.60488i	−0.553982	+	0.947398i
$36$	−2.77957	−	2.34933i	−0.463262	−	0.391554i
$37$	1.91368	−	7.14196i	0.314608	−	1.17413i	−0.609747	−	0.792596i	$-0.708729\pi$
$37$	1.91368	−	7.14196i	0.314608	−	1.17413i	0.924354	−	0.381535i	$-0.124604\pi$
$38$	3.31422	−	4.71523i	0.537637	−	0.764911i
$39$	4.13718	−	6.74833i	0.662479	−	1.08060i
$40$	5.51133	−	3.10245i	0.871419	−	0.490540i
$41$	2.17794	−	1.25743i	0.340137	−	0.196378i	−0.320196	−	0.947351i	$-0.603749\pi$
$41$	2.17794	−	1.25743i	0.340137	−	0.196378i	0.660333	+	0.750973i	$0.270415\pi$
$42$	−8.97937	−	0.801774i	−1.38555	−	0.123716i
$43$	0.113478	+	0.423507i	0.0173053	+	0.0645842i	0.974039	−	0.226382i	$-0.0726898\pi$
$43$	0.113478	+	0.423507i	0.0173053	+	0.0645842i	−0.956733	+	0.290966i	$0.906023\pi$
$44$	3.99979	+	11.1128i	0.602991	+	1.67532i
$45$	1.03140	+	3.93610i	0.153752	+	0.586759i
$46$	−0.578772	+	1.58136i	−0.0853352	+	0.233159i
$47$	1.91351	−	1.91351i	0.279114	−	0.279114i	−0.553641	−	0.832755i	$-0.686762\pi$
$47$	1.91351	−	1.91351i	0.279114	−	0.279114i	0.832755	+	0.553641i	$0.186762\pi$
$48$	7.15720	+	5.08820i	1.03305	+	0.734418i
$49$	−1.23946	+	0.715605i	−0.177066	+	0.102229i
$50$	−7.03567	−	0.706665i	−0.994994	−	0.0999376i
$51$			13.1415i			1.84018i
$52$	−3.24188	+	6.44129i	−0.449568	+	0.893246i
$53$	3.15887	+	3.15887i	0.433905	+	0.433905i	0.889954	−	0.456050i	$-0.150736\pi$
$53$	3.15887	+	3.15887i	0.433905	+	0.433905i	−0.456050	+	0.889954i	$0.650736\pi$
$54$	2.81138	−	2.35047i	0.382580	−	0.319859i
$55$	3.48807	−	12.7358i	0.470331	−	1.71729i
$56$	8.21266	+	0.0440539i	1.09746	+	0.00588695i
$57$	−6.32649	−	6.32649i	−0.837965	−	0.837965i
$58$	1.71540	+	3.69592i	0.225243	+	0.485298i
$59$	10.3630	+	5.98308i	1.34915	+	0.778930i	0.988129	−	0.153629i	$-0.0490959\pi$
$59$	10.3630	+	5.98308i	1.34915	+	0.778930i	0.361018	+	0.932559i	$0.382429\pi$
$60$	−3.27387	−	9.25613i	−0.422654	−	1.19496i
$61$	0.680605	−	1.17884i	0.0871426	−	0.150935i	−0.819160	−	0.573566i	$-0.805560\pi$
$61$	0.680605	−	1.17884i	0.0871426	−	0.150935i	0.906302	+	0.422630i	$0.138893\pi$
$62$	0.674413	−	7.55300i	0.0856505	−	0.959232i
$63$	−1.36755	+	5.10376i	−0.172295	+	0.643014i
$64$	−6.88489	−	4.07410i	−0.860612	−	0.509262i
$65$	7.10713	−	3.80639i	0.881532	−	0.472125i
$66$	18.0617	−	3.15148i	2.22325	−	0.387921i
$67$	−11.5858	−	3.10440i	−1.41543	−	0.379263i	−0.531568	−	0.847016i	$-0.678397\pi$
$67$	−11.5858	−	3.10440i	−1.41543	−	0.379263i	−0.883859	+	0.467753i	$0.845064\pi$
$68$	−1.00077	−	11.9300i	−0.121361	−	1.44673i
$69$	2.26388	+	1.30705i	0.272539	+	0.157351i
$70$	−7.48287	−	5.32154i	−0.894374	−	0.636045i
$71$	0.585562	−	1.01422i	0.0694934	−	0.120366i	−0.829185	−	0.558974i	$-0.811195\pi$
$71$	0.585562	−	1.01422i	0.0694934	−	0.120366i	0.898678	+	0.438608i	$0.144528\pi$
$72$	3.65889	−	3.61984i	0.431204	−	0.426602i
$73$	−5.77691	+	5.77691i	−0.676136	+	0.676136i	−0.959124	−	0.282987i	$-0.908675\pi$
$73$	−5.77691	+	5.77691i	−0.676136	+	0.676136i	0.282987	+	0.959124i	$0.408675\pi$
$74$	9.81954	+	3.59392i	1.14150	+	0.417784i
$75$	−2.95802	+	10.5708i	−0.341563	+	1.22062i
$76$	6.22506	+	5.26150i	0.714064	+	0.603535i
$77$	12.1248	−	12.1248i	1.38175	−	1.38175i
$78$	8.98540	+	6.67645i	1.01740	+	0.755959i
$79$	1.39679			0.157151			0.0785757	−	0.996908i	$-0.474963\pi$
$79$	1.39679			0.157151			0.0785757	+	0.996908i	$0.474963\pi$
$80$	3.67695	+	8.15353i	0.411095	+	0.911592i
$81$	−5.57389	−	9.65427i	−0.619321	−	1.07270i
$82$	1.49730	+	3.22602i	0.165349	+	0.356254i
$83$	−1.47488	−	1.47488i	−0.161889	−	0.161889i	0.621514	−	0.783403i	$-0.286518\pi$
$83$	−1.47488	−	1.47488i	−0.161889	−	0.161889i	−0.783403	+	0.621514i	$0.786518\pi$
$84$	2.25877	−	12.5476i	0.246452	−	1.36905i
$85$	−6.75645	+	11.5546i	−0.732840	+	1.25327i
$86$	−0.610829	+	0.106580i	−0.0658674	+	0.0114928i
$87$	6.10976	−	1.63711i	0.655036	−	0.175516i
$88$	−16.1567	+	4.23642i	−1.72231	+	0.451604i
$89$	1.09143	+	1.89042i	0.115692	+	0.200384i	0.918056	−	0.396451i	$-0.129758\pi$
$89$	1.09143	+	1.89042i	0.115692	+	0.200384i	−0.802364	+	0.596835i	$0.796425\pi$
$90$	−5.67416	+	0.957775i	−0.598109	+	0.100958i
$91$	10.4656	+	0.276082i	1.09710	+	0.0289413i
$92$	−2.15472	−	1.01416i	−0.224645	−	0.105733i
$93$	−11.3706	−	3.04674i	−1.17908	−	0.315932i
$94$	2.45472	+	2.93606i	0.253185	+	0.302832i
$95$	−2.30990	−	8.81520i	−0.236991	−	0.904421i
$96$	−8.06749	+	9.44173i	−0.823385	+	0.963643i
$97$	−7.69943	+	2.06306i	−0.781759	+	0.209472i	−0.627560	−	0.778568i	$-0.715946\pi$
$97$	−7.69943	+	2.06306i	−0.781759	+	0.209472i	−0.154199	+	0.988040i	$0.549280\pi$
$98$	−0.852113	−	1.83593i	−0.0860764	−	0.185457i
$99$		−	10.7460i		−	1.08002i
$100$	1.88033	−	9.82163i	0.188033	−	0.982163i
$101$	−1.19220	−	2.06495i	−0.118628	−	0.205470i	0.800596	−	0.599204i	$-0.204516\pi$
$101$	−1.19220	−	2.06495i	−0.118628	−	0.205470i	−0.919224	+	0.393735i	$0.871183\pi$
$102$	−18.5112	−	1.65288i	−1.83288	−	0.163659i
$103$	13.0858	−	13.0858i	1.28938	−	1.28938i	0.354216	−	0.935164i	$-0.384748\pi$
$103$	13.0858	−	13.0858i	1.28938	−	1.28938i	0.935164	−	0.354216i	$-0.115252\pi$
$104$	−8.66551	−	5.37671i	−0.849723	−	0.527229i
$105$	−10.1347	+	10.0233i	−0.989047	+	0.978178i
$106$	−4.84693	+	4.05231i	−0.470776	+	0.393595i
$107$	−0.0387318	+	0.144549i	−0.00374435	+	0.0139741i	−0.967773	−	0.251825i	$-0.918969\pi$
$107$	−0.0387318	+	0.144549i	−0.00374435	+	0.0139741i	0.964028	+	0.265799i	$0.0856359\pi$
$108$	2.95729	+	4.25577i	0.284566	+	0.409511i
$109$	−4.42871			−0.424194			−0.212097	−	0.977249i	$-0.568029\pi$
$109$	−4.42871			−0.424194			−0.212097	+	0.977249i	$0.568029\pi$
$110$	17.5010	+	6.51518i	1.66866	+	0.621198i
$111$	8.11623	−	14.0577i	0.770358	−	1.33430i
$112$	−1.09501	+	11.5629i	−0.103468	+	1.09259i
$113$	−6.92306	+	1.85503i	−0.651267	+	0.174506i	−0.569301	−	0.822129i	$-0.692786\pi$
$113$	−6.92306	+	1.85503i	−0.651267	+	0.174506i	−0.0819651	+	0.996635i	$0.526120\pi$
$114$	9.70728	−	8.11584i	0.909170	−	0.760118i
$115$	1.31852	+	2.31316i	0.122952	+	0.215703i
$116$	−5.42186	+	1.95147i	−0.503407	+	0.181189i
$117$	4.76009	−	4.51541i	0.440071	−	0.417449i
$118$	−9.73123	+	13.8449i	−0.895832	+	1.27452i
$119$	−15.0525	+	8.69058i	−1.37986	+	0.796665i
$120$	13.4500	−	3.44740i	1.22782	−	0.314703i
$121$	−11.9366	+	20.6748i	−1.08515	+	1.87953i
$122$	1.57493	+	1.10698i	0.142587	+	0.100221i
$123$	5.33297	−	1.42897i	0.480858	−	0.128846i
$124$	10.5544	+	1.89997i	0.947814	+	0.170622i
$125$	−8.03564	+	7.77358i	−0.718730	+	0.695290i
$126$	−7.01720	−	2.56827i	−0.625142	−	0.228800i
$127$	−5.04314	+	18.8213i	−0.447506	+	1.67012i	0.261726	+	0.965142i	$0.415708\pi$
$127$	−5.04314	+	18.8213i	−0.447506	+	1.67012i	−0.709233	+	0.704975i	$0.750958\pi$
$128$	6.60476	−	9.18570i	0.583784	−	0.811909i
$129$			0.962559i			0.0847486i
$130$	4.46782	+	10.4899i	0.391854	+	0.920028i
$131$			8.22960i			0.719024i	0.933140	+	0.359512i	$0.117057\pi$
$131$			8.22960i			0.719024i	−0.933140	+	0.359512i	$0.882943\pi$
$132$	2.16748	+	25.8383i	0.188655	+	2.24894i
$133$	3.06273	−	11.4303i	0.265572	−	0.991130i
$134$	5.83009	−	15.9294i	0.503643	−	1.37609i
$135$	0.0320127	−	5.79400i	0.00275521	−	0.498668i
$136$	16.9306	+	0.0908184i	1.45179	+	0.00778761i
$137$	−2.96584	+	0.794694i	−0.253389	+	0.0678952i	−0.383277	−	0.923633i	$-0.625205\pi$
$137$	−2.96584	+	0.794694i	−0.253389	+	0.0678952i	0.129889	+	0.991529i	$0.458538\pi$
$138$	−2.12587	+	3.02453i	−0.180966	+	0.257465i
$139$	−4.23266	+	7.33118i	−0.359009	+	0.621822i	−0.987796	−	0.155756i	$-0.950219\pi$
$139$	−4.23266	+	7.33118i	−0.359009	+	0.621822i	0.628786	+	0.777578i	$0.283552\pi$
$140$	8.43713	−	9.87112i	0.713068	−	0.834262i
$141$	5.14502	−	2.97048i	0.433289	−	0.250159i
$142$	1.35500	+	0.952393i	0.113709	+	0.0799231i
$143$	−20.7047	+	4.96652i	−1.73142	+	0.415321i
$144$	4.63874	+	5.60923i	0.386562	+	0.467436i
$145$	6.21368	+	1.70180i	0.516018	+	0.141327i
$146$	−7.41082	−	8.86401i	−0.613324	−	0.733590i
$147$	−3.03499	+	0.813223i	−0.250322	+	0.0670735i
$148$	−6.29748	+	13.3799i	−0.517650	+	1.09982i
$149$	−3.57714	+	6.19580i	−0.293051	+	0.507579i	−0.974530	−	0.224259i	$-0.928004\pi$
$149$	−3.57714	+	6.19580i	−0.293051	+	0.507579i	0.681479	+	0.731838i	$0.261337\pi$
$150$	−14.5181	−	5.49625i	−1.18540	−	0.448767i
$151$	−11.7667			−0.957559			−0.478780	−	0.877935i	$-0.658921\pi$
$151$	−11.7667			−0.957559			−0.478780	+	0.877935i	$0.658921\pi$
$152$	−8.19436	+	8.10691i	−0.664650	+	0.657558i
$153$	−2.81924	+	10.5215i	−0.227922	+	0.850617i
$154$	15.5542	+	18.6042i	1.25339	+	1.49917i
$155$	−8.43114	−	8.52482i	−0.677205	−	0.684730i
$156$	−10.5347	+	11.8172i	−0.843447	+	0.946132i
$157$	6.76950	−	6.76950i	0.540265	−	0.540265i	−0.383342	−	0.923606i	$-0.625227\pi$
$157$	6.76950	−	6.76950i	0.540265	−	0.540265i	0.923606	+	0.383342i	$0.125227\pi$
$158$	−0.175683	+	1.96754i	−0.0139766	+	0.156529i
$159$	4.90374	+	8.49353i	0.388892	+	0.673581i
$160$	−11.9476	+	4.15387i	−0.944542	+	0.328392i
$161$			3.45747i			0.272486i
$162$	14.3002	−	6.63717i	1.12353	−	0.521465i
$163$	−13.1865	+	3.53330i	−1.03284	+	0.276750i	−0.735145	−	0.677910i	$-0.762886\pi$
$163$	−13.1865	+	3.53330i	−1.03284	+	0.276750i	−0.297699	+	0.954660i	$0.596219\pi$
$164$	−4.73253	+	1.70336i	−0.369548	+	0.133010i
$165$	14.6333	−	25.0252i	1.13920	−	1.94821i
$166$	2.26304	−	1.89203i	0.175646	−	0.146850i
$167$	17.4351	+	4.67171i	1.34917	+	0.361508i	0.859827	−	0.510585i	$-0.170571\pi$
$167$	17.4351	+	4.67171i	1.34917	+	0.361508i	0.489339	+	0.872094i	$0.337238\pi$
$168$	17.3905	+	4.75991i	1.34171	+	0.367235i
$169$	−10.9000	−	7.08453i	−0.838459	−	0.544964i
$170$	−15.4261	−	10.9705i	−1.18313	−	0.841398i
$171$	−3.70800	−	6.42244i	−0.283558	−	0.491136i
$172$	−0.0733020	−	0.873825i	−0.00558922	−	0.0666285i
$173$	−0.0533635	+	0.0142987i	−0.00405715	+	0.00108711i	−0.260847	−	0.965380i	$-0.584002\pi$
$173$	−0.0533635	+	0.0142987i	−0.00405715	+	0.00108711i	0.256790	+	0.966467i	$0.417335\pi$
$174$	1.53758	+	8.81218i	0.116564	+	0.668050i
$175$	−14.0642	+	3.60242i	−1.06316	+	0.272317i
$176$	−3.93534	−	23.2913i	−0.296637	−	1.75565i
$177$	18.5759	+	18.5759i	1.39625	+	1.39625i
$178$	−2.80014	+	1.29963i	−0.209879	+	0.0974117i
$179$	−3.54850	−	6.14617i	−0.265227	−	0.459387i	0.702396	−	0.711786i	$-0.252114\pi$
$179$	−3.54850	−	6.14617i	−0.265227	−	0.459387i	−0.967623	+	0.252400i	$0.918780\pi$
$180$	−0.635460	−	8.11313i	−0.0473644	−	0.604717i
$181$	−8.82707			−0.656111			−0.328055	−	0.944658i	$-0.606393\pi$
$181$	−8.82707			−0.656111			−0.328055	+	0.944658i	$0.606393\pi$
$182$	−1.70521	+	14.7073i	−0.126399	+	1.09018i
$183$	2.11310	−	2.11310i	0.156205	−	0.156205i
$184$	1.69957	−	2.90760i	0.125294	−	0.214351i
$185$	14.3637	−	8.18740i	1.05604	−	0.601950i
$186$	5.72181	−	15.6335i	0.419544	−	1.14631i
$187$	24.9957	−	24.9957i	1.82787	−	1.82787i
$188$	−4.44451	+	3.08845i	−0.324149	+	0.225248i
$189$	3.76197	−	6.51591i	0.273643	−	0.473963i
$190$	12.7077	−	2.14501i	0.921914	−	0.155615i
$191$	1.00423	+	0.579791i	0.0726633	+	0.0419522i	0.535891	−	0.844287i	$-0.319976\pi$
$191$	1.00423	+	0.579791i	0.0726633	+	0.0419522i	−0.463228	+	0.886239i	$0.653309\pi$
$192$	−12.2850	−	12.5515i	−0.886595	−	0.905825i
$193$	4.44144	+	1.19008i	0.319702	+	0.0856638i	0.415101	−	0.909775i	$-0.363746\pi$
$193$	4.44144	+	1.19008i	0.319702	+	0.0856638i	−0.0953994	+	0.995439i	$0.530413\pi$
$194$	−1.93764	−	11.1050i	−0.139114	−	0.797290i
$195$	17.2340	−	4.03343i	1.23416	−	0.288840i
$196$	2.69328	−	0.969380i	0.192377	−	0.0692414i
$197$	1.46848	−	5.48044i	0.104625	−	0.390465i	−0.893677	−	0.448710i	$-0.851884\pi$
$197$	1.46848	−	5.48044i	0.104625	−	0.390465i	0.998302	+	0.0582445i	$0.0185503\pi$
$198$	15.1370	+	1.35159i	1.07574	+	0.0960532i
$199$	−0.488773	+	0.846579i	−0.0346482	+	0.0600124i	−0.882830	−	0.469694i	$-0.844364\pi$
$199$	−0.488773	+	0.846579i	−0.0346482	+	0.0600124i	0.848181	+	0.529706i	$0.177698\pi$
$200$	13.5983	+	3.88397i	0.961548	+	0.274638i
$201$	−22.8046	−	13.1662i	−1.60851	−	0.928674i
$202$	3.05865	−	1.41962i	0.215206	−	0.0998841i
$203$	5.91562	+	5.91562i	0.415195	+	0.415195i
$204$	4.65652	−	25.8672i	0.326022	−	1.81107i
$205$	5.42368	+	1.48544i	0.378806	+	0.103747i
$206$	16.7869	+	20.0786i	1.16960	+	1.39894i
$207$	1.53214	+	1.53214i	0.106491	+	0.106491i
$208$	8.66359	−	11.5301i	0.600712	−	0.799466i
$209$			24.0666i			1.66472i
$210$	−12.8443	−	15.5366i	−0.886339	−	1.07212i
$211$	−16.7346	+	9.66173i	−1.15206	+	0.665141i	−0.949388	−	0.314106i	$-0.898295\pi$
$211$	−16.7346	+	9.66173i	−1.15206	+	0.665141i	−0.202670	+	0.979247i	$0.564962\pi$
$212$	−5.09850	−	7.33711i	−0.350166	−	0.503915i
$213$	1.81802	−	1.81802i	0.124569	−	0.124569i
$214$	−0.198742	−	0.0727388i	−0.0135857	−	0.00497232i
$215$	−0.494882	+	0.846327i	−0.0337507	+	0.0577191i
$216$	−6.36667	+	3.63040i	−0.433197	+	0.247018i
$217$	−4.02968	−	15.0390i	−0.273552	−	1.02091i
$218$	0.557024	−	6.23832i	0.0377264	−	0.422513i
$219$	−15.5329	+	8.96791i	−1.04961	+	0.605995i
$220$	−11.3785	+	23.8326i	−0.767141	+	1.60680i
$221$	21.5752	+	0.569151i	1.45130	+	0.0382853i
$222$	18.7810	+	13.2007i	1.26050	+	0.885974i
$223$	0.885865	−	3.30609i	0.0593219	−	0.221392i	−0.929901	−	0.367810i	$-0.880108\pi$
$223$	0.885865	−	3.30609i	0.0593219	−	0.221392i	0.989223	+	0.146418i	$0.0467743\pi$
$224$	−16.1499	−	2.99677i	−1.07906	−	0.200230i
$225$	−4.63606	+	7.82882i	−0.309071	+	0.521921i
$226$	−1.74226	−	9.98520i	−0.115893	−	0.664206i
$227$	−1.22518	−	4.57245i	−0.0813183	−	0.303484i	0.913273	−	0.407347i	$-0.133546\pi$
$227$	−1.22518	−	4.57245i	−0.0813183	−	0.303484i	−0.994592	+	0.103864i	$0.966879\pi$
$228$	10.2111	+	14.6945i	0.676247	+	0.973170i
$229$	8.57485			0.566642			0.283321	−	0.959025i	$-0.408564\pi$
$229$	8.57485			0.566642			0.283321	+	0.959025i	$0.408564\pi$
$230$	−3.42417	+	1.56633i	−0.225783	+	0.103281i
$231$	32.6011	−	18.8223i	2.14499	−	1.23841i
$232$	−2.06692	−	7.88273i	−0.135700	−	0.517527i
$233$	6.77372	+	6.77372i	0.443761	+	0.443761i	0.893274	−	0.449513i	$-0.148402\pi$
$233$	6.77372	+	6.77372i	0.443761	+	0.443761i	−0.449513	+	0.893274i	$0.648402\pi$
$234$	5.76174	+	7.27304i	0.376657	+	0.475454i
$235$	6.05096	+	0.0334325i	0.394721	+	0.00218089i
$236$	−18.2781	−	15.4489i	−1.18980	−	1.00563i
$237$	2.96201	+	0.793667i	0.192403	+	0.0515542i
$238$	−10.3484	−	22.2962i	−0.670787	−	1.44525i
$239$			17.7079i			1.14543i	0.819755	+	0.572715i	$0.194110\pi$
$239$			17.7079i			1.14543i	−0.819755	+	0.572715i	$0.805890\pi$
$240$	3.16436	+	19.3795i	0.204258	+	1.25094i
$241$	−22.3888	−	12.9262i	−1.44219	−	0.832650i	−0.444196	−	0.895929i	$-0.646511\pi$
$241$	−22.3888	−	12.9262i	−1.44219	−	0.832650i	−0.997996	+	0.0632793i	$0.979844\pi$
$242$	−27.6214	−	19.4144i	−1.77557	−	1.24801i
$243$	−4.32230	−	16.1310i	−0.277276	−	1.03481i
$244$	−1.75738	+	2.07922i	−0.112505	+	0.133109i
$245$	−3.08661	−	0.845361i	−0.197196	−	0.0540081i
$246$	1.34210	+	7.69180i	0.0855689	+	0.490412i
$247$	−10.6606	+	10.1126i	−0.678317	+	0.643449i
$248$	−4.00380	+	14.6281i	−0.254242	+	0.928883i
$249$	−2.28956	−	3.96564i	−0.145095	−	0.251312i
$250$	−9.93924	−	12.2968i	−0.628613	−	0.777718i
$251$	11.0480	+	6.37854i	0.697341	+	0.402610i	0.806356	−	0.591430i	$-0.201436\pi$
$251$	11.0480	+	6.37854i	0.697341	+	0.402610i	−0.109015	+	0.994040i	$0.534770\pi$
$252$	4.50028	−	9.56147i	0.283491	−	0.602316i
$253$	−1.81993	−	6.79208i	−0.114418	−	0.427015i
$254$	−25.8775	−	9.47107i	−1.62370	−	0.594268i
$255$	−20.8930	+	20.6634i	−1.30837	+	1.29399i
$256$	12.1083	+	10.4589i	0.756772	+	0.653679i
$257$	16.5252	+	4.42791i	1.03081	+	0.276205i	0.734301	−	0.678824i	$-0.237510\pi$
$257$	16.5252	+	4.42791i	1.03081	+	0.276205i	0.296511	+	0.955029i	$0.404177\pi$
$258$	−1.35587	−	0.121067i	−0.0844128	−	0.00753727i
$259$	21.4693			1.33404
$260$	−15.3382	+	4.97403i	−0.951232	+	0.308476i
$261$	5.24291			0.324528
$262$	−11.5923	−	1.03508i	−0.716175	−	0.0639477i
$263$	8.91326	+	2.38830i	0.549615	+	0.147269i	0.522931	−	0.852375i	$-0.324839\pi$
$263$	8.91326	+	2.38830i	0.549615	+	0.147269i	0.0266840	+	0.999644i	$0.491505\pi$
$264$	−36.6687	−	0.196696i	−2.25680	−	0.0121058i
$265$	−0.0551912	+	9.98909i	−0.00339037	+	0.613625i
$266$	15.7156	+	5.75184i	0.963583	+	0.352668i
$267$	1.24032	+	4.62894i	0.0759064	+	0.283286i
$268$	21.7050	+	10.2159i	1.32584	+	0.624032i
$269$	2.45784	+	1.41903i	0.149857	+	0.0865200i	0.573054	−	0.819518i	$-0.305759\pi$
$269$	2.45784	+	1.41903i	0.149857	+	0.0865200i	−0.423197	+	0.906038i	$0.639092\pi$
$270$	8.15745	+	0.773837i	0.496447	+	0.0470942i
$271$	0.373608	+	0.647108i	0.0226951	+	0.0393090i	0.877150	−	0.480217i	$-0.159442\pi$
$271$	0.373608	+	0.647108i	0.0226951	+	0.0393090i	−0.854455	+	0.519526i	$0.826109\pi$
$272$	−2.25739	+	23.8372i	−0.136874	+	1.44534i
$273$	22.0363	+	6.53210i	1.33370	+	0.395341i
$274$	−0.746383	−	4.27766i	−0.0450906	−	0.258423i
$275$	25.7325	−	14.4799i	1.55173	−	0.873173i
$276$	−3.99300	−	3.37493i	−0.240350	−	0.203147i
$277$	3.03838	+	11.3394i	0.182559	+	0.681319i	0.995140	+	0.0984706i	$0.0313950\pi$
$277$	3.03838	+	11.3394i	0.182559	+	0.681319i	−0.812581	+	0.582848i	$0.801938\pi$
$278$	−9.79440	−	6.88425i	−0.587429	−	0.412890i
$279$	−8.45009	−	4.87866i	−0.505894	−	0.292078i
$280$	12.8434	+	13.1262i	0.767538	+	0.784439i
$281$		−	14.4583i		−	0.862510i	−0.902230	−	0.431255i	$-0.858071\pi$
$281$		−	14.4583i		−	0.862510i	0.902230	−	0.431255i	$-0.141929\pi$
$282$	3.53712	+	7.62093i	0.210633	+	0.453820i
$283$	8.18352	+	2.19277i	0.486460	+	0.130346i	0.493709	−	0.869627i	$-0.335641\pi$
$283$	8.18352	+	2.19277i	0.486460	+	0.130346i	−0.00724926	+	0.999974i	$0.502308\pi$
$284$	−1.51198	+	1.78887i	−0.0897192	+	0.106150i
$285$	0.110535	−	20.0058i	0.00654754	−	1.18504i
$286$	−4.39174	−	29.7896i	−0.259689	−	1.76149i
$287$	5.16351	+	5.16351i	0.304792	+	0.304792i
$288$	−8.48465	+	5.82867i	−0.499963	+	0.343458i
$289$	−16.3088	+	9.41588i	−0.959340	+	0.553875i
$290$	−3.17870	+	8.53861i	−0.186660	+	0.501404i
$291$	−17.4995			−1.02584
$292$	13.4180	−	9.32407i	0.785230	−	0.545650i
$293$	4.95925	+	18.5082i	0.289723	+	1.08126i	0.945319	+	0.326148i	$0.105751\pi$
$293$	4.95925	+	18.5082i	0.289723	+	1.08126i	−0.655596	+	0.755112i	$0.727583\pi$
$294$	−0.763786	−	4.37740i	−0.0445449	−	0.255295i
$295$	6.78235	+	25.8833i	0.394884	+	1.50698i
$296$	−18.0549	−	10.5536i	−1.04942	−	0.613413i
$297$	−3.96043	+	14.7805i	−0.229807	+	0.857653i
$298$	−8.27754	−	5.81808i	−0.479505	−	0.337032i
$299$	2.24392	−	3.66015i	0.129769	−	0.211672i
$300$	9.56811	−	19.7591i	0.552415	−	1.14079i
$301$	−1.10254	+	0.636549i	−0.0635491	+	0.0366901i
$302$	1.47996	−	16.5747i	0.0851623	−	0.953765i
$303$	−1.35483	−	5.05629i	−0.0778329	−	0.290476i
$304$	−10.3888	−	12.5623i	−0.595840	−	0.720497i
$305$	2.94435	−	0.771527i	0.168593	−	0.0441775i
$306$	−14.4662	−	5.29456i	−0.826975	−	0.302670i
$307$	3.27487	−	3.27487i	0.186907	−	0.186907i	−0.607451	−	0.794357i	$-0.707808\pi$
$307$	3.27487	−	3.27487i	0.186907	−	0.186907i	0.794357	+	0.607451i	$0.207808\pi$
$308$	−28.1624	+	19.5698i	−1.60470	+	1.11509i
$309$	35.1848	−	20.3140i	2.00159	−	1.15562i
$310$	13.0686	−	10.8040i	0.742245	−	0.613624i
$311$			2.96366i			0.168053i	0.996463	+	0.0840267i	$0.0267781\pi$
$311$			2.96366i			0.168053i	−0.996463	+	0.0840267i	$0.973222\pi$
$312$	−15.3208	−	16.3255i	−0.867369	−	0.924251i
$313$	−17.7204	−	17.7204i	−1.00162	−	1.00162i	−0.999999	−	0.00161885i	$-0.999485\pi$
$313$	−17.7204	−	17.7204i	−1.00162	−	1.00162i	−0.00161885	−	0.999999i	$-0.500515\pi$
$314$	8.68414	+	10.3870i	0.490074	+	0.586173i
$315$	−10.2645	+	5.85085i	−0.578340	+	0.329658i
$316$	−2.74939	−	0.494936i	−0.154665	−	0.0278423i
$317$	−9.78444	−	9.78444i	−0.549549	−	0.549549i	0.376761	−	0.926310i	$-0.377038\pi$
$317$	−9.78444	−	9.78444i	−0.549549	−	0.549549i	−0.926310	+	0.376761i	$0.877038\pi$
$318$	−12.5808	+	5.83918i	−0.705499	+	0.327445i
$319$	−14.7349	−	8.50720i	−0.824996	−	0.476312i
$320$	−4.34846	−	17.3520i	−0.243086	−	0.970005i
$321$	−0.164268	+	0.284520i	−0.00916853	+	0.0158804i
$322$	−4.87022	−	0.434865i	−0.271407	−	0.0242341i
$323$	6.31390	−	23.5638i	0.351315	−	1.31113i
$324$	7.55056	+	20.9781i	0.419476	+	1.16545i
$325$	17.2267	+	5.31419i	0.955566	+	0.294778i
$326$	−3.31851	−	19.0190i	−0.183795	−	1.05336i
$327$	−9.39142	−	2.51642i	−0.519347	−	0.139159i
$328$	−1.80413	−	6.88052i	−0.0996164	−	0.379913i
$329$	6.80490	+	3.92881i	0.375166	+	0.216602i
$330$	33.4103	+	23.7601i	1.83917	+	1.30795i
$331$	12.9450	−	22.4215i	0.711523	−	1.23239i	−0.252762	−	0.967529i	$-0.581339\pi$
$331$	12.9450	−	22.4215i	0.711523	−	1.23239i	0.964285	−	0.264866i	$-0.0853277\pi$
$332$	2.38049	+	3.42571i	0.130647	+	0.188010i
$333$	9.51394	−	9.51394i	0.521361	−	0.521361i
$334$	−8.77353	+	23.9716i	−0.480066	+	1.31167i
$335$	−13.2817	−	23.3009i	−0.725656	−	1.27307i
$336$	−8.89216	+	23.8978i	−0.485107	+	1.30373i
$337$	12.2397	−	12.2397i	0.666738	−	0.666738i	−0.290222	−	0.956959i	$-0.593729\pi$
$337$	12.2397	−	12.2397i	0.666738	−	0.666738i	0.956959	+	0.290222i	$0.0937290\pi$
$338$	11.3503	−	14.4627i	0.617375	−	0.786669i
$339$	−15.7349			−0.854604
$340$	17.3934	−	20.3496i	0.943288	−	1.10361i
$341$	15.8323	+	27.4224i	0.857370	+	1.48501i
$342$	9.51309	−	4.41533i	0.514409	−	0.238754i
$343$	11.4338	+	11.4338i	0.617367	+	0.617367i
$344$	1.24010	+	0.00665207i	0.0668616	+	0.000358655i
$345$	1.48166	+	5.65442i	0.0797700	+	0.304424i
$346$	−0.0134295	−	0.0769668i	−0.000721972	−	0.00413776i
$347$	−4.01037	+	1.07458i	−0.215288	+	0.0576863i	−0.364851	−	0.931066i	$-0.618880\pi$
$347$	−4.01037	+	1.07458i	−0.215288	+	0.0576863i	0.149563	+	0.988752i	$0.452213\pi$
$348$	−12.6063	+	1.05750i	−0.675769	+	0.0566878i
$349$	−2.77609	−	4.80833i	−0.148601	−	0.257384i	0.782110	−	0.623141i	$-0.214144\pi$
$349$	−2.77609	−	4.80833i	−0.148601	−	0.257384i	−0.930711	+	0.365757i	$0.880810\pi$
$350$	−3.30546	−	20.2641i	−0.176684	−	1.08316i
$351$	−8.21137	+	4.45635i	−0.438291	+	0.237862i
$352$	33.3033	−	2.61387i	1.77507	−	0.139320i
$353$	−30.0331	−	8.04733i	−1.59850	−	0.428316i	−0.653910	−	0.756573i	$-0.726872\pi$
$353$	−30.0331	−	8.04733i	−1.59850	−	0.428316i	−0.944589	+	0.328256i	$0.893539\pi$
$354$	−28.5026	+	23.8298i	−1.51490	+	1.26654i
$355$	2.53319	−	0.663787i	0.134448	−	0.0352302i
$356$	−1.47849	−	4.10776i	−0.0783597	−	0.217711i
$357$	−36.8581	+	9.87610i	−1.95074	+	0.522699i
$358$	9.10387	−	4.22540i	0.481155	−	0.223320i
$359$		−	0.00693923i		−	0.000366239i	−1.00000		0.000183119i	$-0.999942\pi$
$359$		−	0.00693923i		−	0.000366239i	1.00000		0.000183119i	$-5.82887e-5\pi$
$360$	11.5082	+	0.125320i	0.606533	+	0.00660492i
$361$	−1.19565	−	2.07093i	−0.0629292	−	0.108997i
$362$	1.11023	−	12.4339i	0.0583524	−	0.653511i
$363$	−37.0601	+	37.0601i	−1.94515	+	1.94515i
$364$	−20.5023	−	4.25180i	−1.07461	−	0.222855i
$365$	−18.2679	−	0.100933i	−0.956186	−	0.00528307i
$366$	2.71076	+	3.24231i	0.141694	+	0.169478i
$367$	3.03530	−	11.3279i	0.158441	−	0.591311i	−0.840345	−	0.542052i	$-0.817647\pi$
$367$	3.03530	−	11.3279i	0.158441	−	0.591311i	0.998786	−	0.0492589i	$-0.0156859\pi$
$368$	3.88191	+	2.75973i	0.202359	+	0.143861i
$369$	4.57633			0.238234
$370$	9.72625	+	21.2626i	0.505643	+	1.10539i
$371$	−6.48578	+	11.2337i	−0.336725	+	0.583225i
$372$	21.3019	+	10.0261i	1.10445	+	0.519830i
$373$	32.4437	−	8.69327i	1.67987	−	0.450121i	0.712127	−	0.702050i	$-0.247732\pi$
$373$	32.4437	−	8.69327i	1.67987	−	0.450121i	0.967746	+	0.251930i	$0.0810652\pi$
$374$	32.0653	+	38.3530i	1.65806	+	1.98319i
$375$	−21.4572	+	11.9186i	−1.10805	+	0.615472i
$376$	−3.79141	−	6.64903i	−0.195527	−	0.342897i
$377$	−2.42313	−	10.1017i	−0.124797	−	0.520263i
$378$	8.70521	+	6.11868i	0.447748	+	0.314711i
$379$	27.5169	−	15.8869i	1.41345	−	0.816055i	0.417737	−	0.908568i	$-0.362823\pi$
$379$	27.5169	−	15.8869i	1.41345	−	0.816055i	0.995711	+	0.0925136i	$0.0294902\pi$
$380$	1.42316	+	18.1700i	0.0730067	+	0.932101i
$381$	−21.3887	+	37.0464i	−1.09578	+	1.89794i
$382$	−0.943006	+	1.34164i	−0.0482484	+	0.0686443i
$383$	4.68413	−	1.25511i	0.239348	−	0.0641331i	−0.137151	−	0.990550i	$-0.543795\pi$
$383$	4.68413	−	1.25511i	0.239348	−	0.0641331i	0.376499	+	0.926417i	$0.377128\pi$
$384$	19.2253	−	15.7261i	0.981086	−	0.802520i
$385$	38.3415	+	0.211843i	1.95407	+	0.0107965i
$386$	−2.23498	+	6.10657i	−0.113758	+	0.310816i
$387$	−0.206498	+	0.770659i	−0.0104969	+	0.0391748i
$388$	15.8863	−	1.33264i	0.806503	−	0.0676546i
$389$			38.0675i			1.93010i	0.262069	+	0.965049i	$0.415595\pi$
$389$			38.0675i			1.93010i	−0.262069	+	0.965049i	$0.584405\pi$
$390$	3.51390	+	24.7834i	0.177933	+	1.25495i
$391$			7.12766i			0.360461i
$392$	1.02673	+	3.91570i	0.0518576	+	0.197773i
$393$	−4.67612	+	17.4515i	−0.235879	+	0.880312i
$394$	7.53510	+	2.75782i	0.379613	+	0.138937i
$395$	2.19629	+	2.22069i	0.110507	+	0.111735i
$396$	−3.80772	+	21.1521i	−0.191345	+	1.06293i
$397$	4.18021	−	1.12008i	0.209799	−	0.0562154i	−0.152389	−	0.988321i	$-0.548697\pi$
$397$	4.18021	−	1.12008i	0.209799	−	0.0562154i	0.362188	+	0.932105i	$0.382030\pi$
$398$	−1.13102	−	0.794969i	−0.0566931	−	0.0398482i
$399$	12.9895	−	22.4985i	0.650289	−	1.12633i
$400$	−7.18134	+	18.6662i	−0.359067	+	0.933312i
$401$	29.7565	−	17.1799i	1.48597	−	0.857925i	0.486097	−	0.873905i	$-0.338420\pi$
$401$	29.7565	−	17.1799i	1.48597	−	0.857925i	0.999872	+	0.0159806i	$0.00508700\pi$
$402$	21.4143	−	30.4668i	1.06805	−	1.51954i
$403$	−5.49448	+	18.5359i	−0.273700	+	0.923337i
$404$	1.61499	+	4.48700i	0.0803485	+	0.223236i
$405$	6.58457	−	24.0418i	0.327190	−	1.19465i
$406$	−9.07684	+	7.58876i	−0.450476	+	0.376624i
$407$	−42.1758	+	11.3010i	−2.09058	+	0.560169i
$408$	35.8511	+	9.81268i	1.77489	+	0.485800i
$409$	−9.30724	+	16.1206i	−0.460213	+	0.797113i	−0.998971	−	0.0453478i	$-0.985560\pi$
$409$	−9.30724	+	16.1206i	−0.460213	+	0.797113i	0.538758	+	0.842461i	$0.318894\pi$
$410$	−2.77457	+	7.45301i	−0.137026	+	0.368078i
$411$	−6.74084			−0.332501
$412$	−30.3943	+	21.1207i	−1.49742	+	1.04054i
$413$	−8.99282	+	33.5617i	−0.442508	+	1.65146i
$414$	−2.35090	+	1.96549i	−0.115540	+	0.0965984i
$415$	0.0257688	−	4.66392i	0.00126494	−	0.228943i
$416$	15.1517	+	13.6538i	0.742872	+	0.669433i
$417$	−13.1413	+	13.1413i	−0.643533	+	0.643533i
$418$	−33.9004	−	3.02699i	−1.65812	−	0.148055i
$419$	−2.36994	−	4.10486i	−0.115779	−	0.200535i	0.802312	−	0.596905i	$-0.203603\pi$
$419$	−2.36994	−	4.10486i	−0.115779	−	0.200535i	−0.918091	+	0.396370i	$0.870270\pi$
$420$	23.5004	−	16.1384i	1.14670	−	0.787475i
$421$		−	20.8651i		−	1.01690i	−0.861091	−	0.508450i	$-0.830219\pi$
$421$		−	20.8651i		−	1.01690i	0.861091	−	0.508450i	$-0.169781\pi$
$422$	−11.5048	−	24.7877i	−0.560045	−	1.20665i
$423$	4.75654	−	1.27451i	0.231271	−	0.0619689i
$424$	10.9764	−	6.25896i	0.533061	−	0.303962i
$425$	−28.9938	+	7.42648i	−1.40641	+	0.360237i
$426$	2.33222	+	2.78954i	0.112996	+	0.135154i
$427$	3.81781	+	1.02298i	0.184757	+	0.0495054i
$428$	0.127457	−	0.270801i	0.00616089	−	0.0130897i
$429$	−46.7280	−	1.23268i	−2.25605	−	0.0595144i
$430$	−1.12990	−	0.803543i	−0.0544886	−	0.0387503i
$431$	10.8956	+	18.8718i	0.524824	+	0.909022i	0.999582	+	0.0289055i	$0.00920218\pi$
$431$	10.8956	+	18.8718i	0.524824	+	0.909022i	−0.474758	+	0.880116i	$0.657464\pi$
$432$	−4.31305	−	9.42476i	−0.207512	−	0.453449i
$433$	29.1871	−	7.82067i	1.40264	−	0.375837i	0.523351	−	0.852117i	$-0.324682\pi$
$433$	29.1871	−	7.82067i	1.40264	−	0.375837i	0.879294	+	0.476280i	$0.158015\pi$
$434$	21.6909	−	3.78471i	1.04119	−	0.181672i
$435$	12.2096	+	7.13946i	0.585406	+	0.342311i
$436$	8.71730	+	1.56926i	0.417483	+	0.0751539i
$437$	−3.43135	−	3.43135i	−0.164144	−	0.164144i
$438$	−10.6786	−	23.0077i	−0.510244	−	1.09935i
$439$	−5.11224	−	8.85466i	−0.243994	−	0.422610i	0.717854	−	0.696193i	$-0.245124\pi$
$439$	−5.11224	−	8.85466i	−0.243994	−	0.422610i	−0.961848	+	0.273583i	$0.911791\pi$
$440$	−32.1397	−	19.0255i	−1.53220	−	0.907004i
$441$	−2.60438			−0.124018
$442$	−3.51535	+	30.3194i	−0.167208	+	1.44215i
$443$	8.61087	−	8.61087i	0.409115	−	0.409115i	−0.472315	−	0.881430i	$-0.656582\pi$
$443$	8.61087	−	8.61087i	0.409115	−	0.409115i	0.881430	+	0.472315i	$0.156582\pi$
$444$	−20.9568	+	24.7948i	−0.994568	+	1.17671i
$445$	−1.28934	+	4.70767i	−0.0611204	+	0.223165i
$446$	4.54557	+	1.66366i	0.215239	+	0.0787768i
$447$	−11.1061	+	11.1061i	−0.525301	+	0.525301i
$448$	6.25253	−	22.3719i	0.295404	−	1.05697i
$449$	11.8422	−	20.5113i	0.558868	−	0.967988i	−0.438723	−	0.898622i	$-0.644569\pi$
$449$	11.8422	−	20.5113i	0.558868	−	0.967988i	0.997591	−	0.0693660i	$-0.0220976\pi$
$450$	−10.4446	−	7.51507i	−0.492365	−	0.354264i
$451$	−12.8615	−	7.42560i	−0.605625	−	0.349658i
$452$	14.2844	−	1.19826i	0.671881	−	0.0563616i
$453$	−24.9522	−	6.68591i	−1.17236	−	0.314132i
$454$	6.59489	−	1.15070i	0.309513	−	0.0540051i
$455$	16.0170	+	17.0729i	0.750889	+	0.800390i
$456$	−21.9832	+	12.5352i	−1.02946	+	0.587017i
$457$	−8.06913	+	30.1144i	−0.377458	+	1.40869i	0.472262	+	0.881458i	$0.343438\pi$
$457$	−8.06913	+	30.1144i	−0.377458	+	1.40869i	−0.849720	+	0.527235i	$0.823229\pi$
$458$	−1.07851	+	12.0786i	−0.0503954	+	0.564397i
$459$	7.75539	−	13.4327i	0.361991	−	0.626986i
$460$	−1.77568	−	5.02033i	−0.0827913	−	0.234074i
$461$	−17.3764	−	10.0323i	−0.809299	−	0.467249i	0.0374134	−	0.999300i	$-0.488088\pi$
$461$	−17.3764	−	10.0323i	−0.809299	−	0.467249i	−0.846712	+	0.532051i	$0.821421\pi$
$462$	22.4128	+	48.2896i	1.04274	+	2.24664i
$463$	14.3229	+	14.3229i	0.665643	+	0.665643i	0.956704	−	0.291061i	$-0.0940084\pi$
$463$	14.3229	+	14.3229i	0.665643	+	0.665643i	−0.291061	+	0.956704i	$0.594008\pi$
$464$	11.3637	−	1.92002i	0.527544	−	0.0891348i
$465$	−13.0350	−	22.8682i	−0.604485	−	1.06049i
$466$	−10.3935	+	8.68955i	−0.481469	+	0.402536i
$467$	−19.8882	−	19.8882i	−0.920317	−	0.920317i	0.0767345	−	0.997052i	$-0.475551\pi$
$467$	−19.8882	−	19.8882i	−0.920317	−	0.920317i	−0.997052	+	0.0767345i	$0.975551\pi$
$468$	−10.9696	+	7.20127i	−0.507068	+	0.332879i
$469$		−	34.8278i		−	1.60820i
$470$	−0.808157	+	8.51923i	−0.0372775	+	0.392963i
$471$	18.2017	−	10.5088i	0.838691	−	0.484218i
$472$	24.0603	−	23.8036i	1.10747	−	1.09565i
$473$	1.83083	−	1.83083i	0.0841817	−	0.0841817i
$474$	−1.49052	+	4.07249i	−0.0684617	+	0.187056i
$475$	10.3828	−	17.5332i	0.476396	−	0.804480i
$476$	32.7082	−	11.7725i	1.49918	−	0.539593i
$477$	2.10400	+	7.85223i	0.0963355	+	0.359529i
$478$	−24.9435	−	2.22722i	−1.14089	−	0.101871i
$479$	29.7096	−	17.1528i	1.35747	−	0.783733i	0.368184	−	0.929753i	$-0.379980\pi$
$479$	29.7096	−	17.1528i	1.35747	−	0.783733i	0.989282	+	0.146020i	$0.0466463\pi$
$480$	−27.6961	+	2.01988i	−1.26415	+	0.0921944i
$481$	−22.7279	−	13.9337i	−1.03630	−	0.635324i
$482$	21.0239	−	29.9113i	0.957615	−	1.36242i
$483$	−1.96456	+	7.33182i	−0.0893904	+	0.333609i
$484$	30.8215	−	36.4660i	1.40098	−	1.65754i
$485$	−15.3864	−	8.99704i	−0.698659	−	0.408534i
$486$	23.2660	−	4.05954i	1.05537	−	0.184144i
$487$	10.3892	+	38.7731i	0.470781	+	1.75698i	0.636975	+	0.770884i	$0.280185\pi$
$487$	10.3892	+	38.7731i	0.470781	+	1.75698i	−0.166194	+	0.986093i	$0.553148\pi$
$488$	−2.70778	−	2.73698i	−0.122575	−	0.123897i
$489$	−29.9706			−1.35532
$490$	1.57900	−	4.24150i	0.0713321	−	0.191612i
$491$	−19.9099	+	11.4950i	−0.898521	+	0.518761i	−0.876720	−	0.481001i	$-0.840273\pi$
$491$	−19.9099	+	11.4950i	−0.898521	+	0.518761i	−0.0218007	+	0.999762i	$0.506940\pi$
$492$	−11.0036	+	0.923048i	−0.496078	+	0.0416142i
$493$	12.1952	+	12.1952i	0.549245	+	0.549245i
$494$	−12.9039	−	16.2885i	−0.580572	−	0.732856i
$495$	17.0846	−	16.8968i	0.767895	−	0.759456i
$496$	−20.1017	−	7.47965i	−0.902591	−	0.335846i
$497$	3.28467	+	0.880125i	0.147338	+	0.0394790i
$498$	5.87401	−	2.72632i	0.263221	−	0.122169i
$499$			20.1032i			0.899945i	0.893043	+	0.449972i	$0.148566\pi$
$499$			20.1032i			0.899945i	−0.893043	+	0.449972i	$0.851434\pi$
$500$	18.5715	−	12.4539i	0.830543	−	0.556954i
$501$	34.3179	+	19.8135i	1.53321	+	0.885200i
$502$	−10.3744	+	14.7600i	−0.463034	+	0.658771i
$503$	−5.95148	−	22.2112i	−0.265363	−	0.990349i	−0.962028	−	0.272952i	$-0.912000\pi$
$503$	−5.95148	−	22.2112i	−0.265363	−	0.990349i	0.696664	−	0.717397i	$-0.254667\pi$
$504$	12.9024	+	7.54174i	0.574717	+	0.335936i
$505$	1.40837	−	5.14229i	0.0626716	−	0.228829i
$506$	9.79629	−	1.70930i	0.435498	−	0.0759875i
$507$	−19.0888	−	21.2167i	−0.847761	−	0.942269i
$508$	16.5958	−	35.2601i	0.736320	−	1.56441i
$509$	−5.89788	−	10.2154i	−0.261419	−	0.452791i	0.705200	−	0.709008i	$-0.250857\pi$
$509$	−5.89788	−	10.2154i	−0.261419	−	0.452791i	−0.966619	+	0.256217i	$0.917524\pi$
$510$	−26.4788	−	32.0290i	−1.17250	−	1.41827i
$511$	−20.5441	−	11.8611i	−0.908816	−	0.524705i
$512$	−16.2554	+	15.7405i	−0.718394	+	0.695637i
$513$	2.73315	+	10.2003i	0.120672	+	0.450353i
$514$	−8.31565	+	22.7206i	−0.366788	+	1.00216i
$515$	41.3802	+	0.228632i	1.82343	+	0.0100747i
$516$	0.341071	−	1.89466i	0.0150148	−	0.0834079i
$517$	−15.4360	−	4.13607i	−0.678876	−	0.181904i
$518$	−2.70032	+	30.2419i	−0.118645	+	1.32875i
$519$	−0.121286			−0.00532387
$520$	−5.07730	−	22.2311i	−0.222654	−	0.974897i
$521$	23.8102			1.04314			0.521571	−	0.853208i	$-0.325346\pi$
$521$	23.8102			1.04314			0.521571	+	0.853208i	$0.325346\pi$
$522$	−0.659430	+	7.38521i	−0.0288625	+	0.323242i
$523$	6.70943	+	1.79779i	0.293383	+	0.0786117i	0.402508	−	0.915416i	$-0.368138\pi$
$523$	6.70943	+	1.79779i	0.293383	+	0.0786117i	−0.109126	+	0.994028i	$0.534805\pi$
$524$	2.91606	−	16.1988i	0.127389	−	0.707649i
$525$	−31.8712	−	0.352197i	−1.39097	−	0.0153712i
$526$	−4.48525	+	12.2549i	−0.195566	+	0.534339i
$527$	−8.30729	−	31.0032i	−0.361871	−	1.35052i
$528$	4.88910	−	51.6271i	0.212771	−	2.24678i
$529$	−18.6907	−	10.7911i	−0.812639	−	0.469177i
$530$	−14.0638	−	1.33413i	−0.610892	−	0.0579508i
$531$	10.8875	+	18.8576i	0.472475	+	0.818351i
$532$	−10.0787	+	21.4137i	−0.436969	+	0.928400i
$533$	−2.11505	−	8.81736i	−0.0916131	−	0.381922i
$534$	−6.67637	+	1.16492i	−0.288915	+	0.0504110i
$535$	−0.290713	+	0.165708i	−0.0125686	+	0.00716419i
$536$	−17.1201	+	29.2889i	−0.739476	+	1.26509i
$537$	−4.03256	−	15.0497i	−0.174018	−	0.649443i
$538$	−2.30800	+	3.28365i	−0.0995050	+	0.141568i
$539$	7.31948	+	4.22590i	0.315272	+	0.182023i
$540$	−2.11604	+	11.3933i	−0.0910600	+	0.490291i
$541$			24.1077i			1.03647i	0.855238	+	0.518235i	$0.173411\pi$
$541$			24.1077i			1.03647i	−0.855238	+	0.518235i	$0.826589\pi$
$542$	−0.958513	+	0.444877i	−0.0411717	+	0.0191091i
$543$	−18.7185	−	5.01560i	−0.803287	−	0.215240i
$544$	−33.2934	−	6.17792i	−1.42744	−	0.264876i
$545$	−6.96361	−	7.04099i	−0.298288	−	0.301603i
$546$	−11.9728	+	30.2190i	−0.512389	+	1.29325i
$547$	−15.3097	−	15.3097i	−0.654595	−	0.654595i	0.299501	−	0.954096i	$-0.403180\pi$
$547$	−15.3097	−	15.3097i	−0.654595	−	0.654595i	−0.954096	+	0.299501i	$0.903180\pi$
$548$	6.11943	−	0.513336i	0.261409	−	0.0219286i
$549$	2.14515	−	1.23850i	0.0915527	−	0.0528580i
$550$	17.1600	+	38.0683i	0.731707	+	1.62324i
$551$	−11.7419			−0.500221
$552$	5.25618	−	5.20009i	0.223718	−	0.221331i
$553$	1.04972	+	3.91761i	0.0446386	+	0.166594i
$554$	−16.3549	+	2.85367i	−0.694855	+	0.121241i
$555$	35.1114	−	9.20047i	1.49040	−	0.390538i
$556$	10.9291	−	12.9306i	0.463498	−	0.548380i
$557$	−2.85900	+	10.6699i	−0.121140	+	0.452100i	−0.999673	−	0.0255818i	$-0.991856\pi$
$557$	−2.85900	+	10.6699i	−0.121140	+	0.452100i	0.878533	+	0.477682i	$0.158523\pi$
$558$	7.93495	−	11.2893i	0.335913	−	0.477913i
$559$	1.58029	+	0.0416880i	0.0668393	+	0.00176321i
$560$	−20.1050	+	16.4403i	−0.849592	+	0.694731i
$561$	67.2081	−	38.8026i	2.83753	−	1.63825i
$562$	20.3661	+	1.81850i	0.859092	+	0.0767089i
$563$	8.96840	+	33.4705i	0.377973	+	1.41061i	0.848952	+	0.528470i	$0.177234\pi$
$563$	8.96840	+	33.4705i	0.377973	+	1.41061i	−0.470979	+	0.882144i	$0.656099\pi$
$564$	−11.1798	+	4.02390i	−0.470755	+	0.169437i
$565$	−13.8349	−	8.08982i	−0.582038	−	0.340341i
$566$	−4.11804	+	11.2516i	−0.173094	+	0.472939i
$567$	22.8886	−	22.8886i	0.961229	−	0.961229i
$568$	−2.32965	−	2.35478i	−0.0977500	−	0.0988043i
$569$	14.7646	−	8.52433i	0.618963	−	0.357358i	−0.157502	−	0.987519i	$-0.550344\pi$
$569$	14.7646	−	8.52433i	0.618963	−	0.357358i	0.776465	+	0.630160i	$0.217011\pi$
$570$	28.1665	+	2.67195i	1.17976	+	0.111916i
$571$		−	13.1901i		−	0.551987i	−0.961160	−	0.275993i	$-0.910993\pi$
$571$		−	13.1901i		−	0.551987i	0.961160	−	0.275993i	$-0.0890068\pi$
$572$	42.5142	−	2.43944i	1.77761	−	0.101998i
$573$	1.80010	+	1.80010i	0.0752003	+	0.0752003i
$574$	−7.92282	+	6.62393i	−0.330692	+	0.276477i
$575$	−1.60437	+	5.73340i	−0.0669068	+	0.239099i
$576$	−7.14316	−	12.6847i	−0.297632	−	0.528528i
$577$	−25.9343	−	25.9343i	−1.07966	−	1.07966i	−0.996540	−	0.0831197i	$-0.973512\pi$
$577$	−25.9343	−	25.9343i	−1.07966	−	1.07966i	−0.0831197	−	0.996540i	$-0.526488\pi$
$578$	−11.2120	−	24.1570i	−0.466360	−	1.00480i
$579$	8.74220	+	5.04731i	0.363314	+	0.209759i
$580$	−11.6278	−	5.55150i	−0.482816	−	0.230514i
$581$	3.02822	−	5.24503i	0.125632	−	0.217600i
$582$	2.20101	−	24.6499i	0.0912348	−	1.02177i
$583$	6.82794	−	25.4822i	0.282785	−	1.05537i
$584$	11.4463	+	20.0735i	0.473652	+	0.830647i
$585$	14.6635	+	0.467908i	0.606261	+	0.0193456i
$586$	−26.6946	+	4.65777i	−1.10274	+	0.192411i
$587$	42.7474	+	11.4541i	1.76437	+	0.472763i	0.987597	−	0.157012i	$-0.0501862\pi$
$587$	42.7474	+	11.4541i	1.76437	+	0.472763i	0.776778	+	0.629775i	$0.216853\pi$
$588$	6.26211	−	0.525306i	0.258245	−	0.0216632i
$589$	18.9246	+	10.9261i	0.779776	+	0.450204i
$590$	−37.3125	+	6.29820i	−1.53613	+	0.259293i
$591$	6.22805	−	10.7873i	0.256188	−	0.443730i
$592$	17.1367	−	24.1050i	0.704315	−	0.990708i
$593$	−11.6073	+	11.6073i	−0.476654	+	0.476654i	−0.904060	−	0.427406i	$-0.859428\pi$
$593$	−11.6073	+	11.6073i	−0.476654	+	0.476654i	0.427406	+	0.904060i	$0.359428\pi$
$594$	−20.3219	−	7.43773i	−0.833816	−	0.305174i
$595$	−37.4850	−	10.2664i	−1.53674	−	0.420881i
$596$	9.23651	−	10.9280i	0.378342	−	0.447630i
$597$	−1.51751	+	1.51751i	−0.0621076	+	0.0621076i
$598$	4.87349	+	3.62116i	0.199292	+	0.148080i
$599$	−38.0912			−1.55637			−0.778183	−	0.628038i	$-0.783858\pi$
$599$	−38.0912			−1.55637			−0.778183	+	0.628038i	$0.783858\pi$
$600$	26.6294	+	15.9629i	1.08714	+	0.651684i
$601$	6.09347	+	10.5542i	0.248558	+	0.430515i	0.963126	−	0.269051i	$-0.0867101\pi$
$601$	6.09347	+	10.5542i	0.248558	+	0.430515i	−0.714568	+	0.699566i	$0.753377\pi$
$602$	−0.757977	−	1.63310i	−0.0308928	−	0.0665604i
$603$	−15.4336	−	15.4336i	−0.628506	−	0.628506i
$604$	23.1611	+	4.16938i	0.942411	+	0.169650i
$605$	−51.6388	+	13.5312i	−2.09942	+	0.550123i
$606$	7.29274	−	1.27247i	0.296247	−	0.0516904i
$607$	36.7823	−	9.85578i	1.49295	−	0.400034i	0.582215	−	0.813035i	$-0.302186\pi$
$607$	36.7823	−	9.85578i	1.49295	−	0.400034i	0.910731	+	0.413001i	$0.135519\pi$
$608$	19.0020	−	13.0538i	0.770634	−	0.529400i
$609$	9.18323	+	15.9058i	0.372123	+	0.644537i
$610$	0.716452	+	4.24448i	0.0290083	+	0.171854i
$611$	−4.65399	−	8.57555i	−0.188280	−	0.346929i
$612$	9.27746	−	19.7112i	0.375019	−	0.796780i
$613$	27.5610	+	7.38495i	1.11318	+	0.298275i	0.768120	−	0.640306i	$-0.221192\pi$
$613$	27.5610	+	7.38495i	1.11318	+	0.298275i	0.345059	+	0.938581i	$0.387859\pi$
$614$	4.20112	+	5.02492i	0.169543	+	0.202789i
$615$	10.6573	+	6.23175i	0.429744	+	0.251289i
$616$	−24.0240	−	42.1312i	−0.967956	−	1.69751i
$617$	−6.23136	+	1.66969i	−0.250865	+	0.0672191i	−0.382060	−	0.924137i	$-0.624785\pi$
$617$	−6.23136	+	1.66969i	−0.250865	+	0.0672191i	0.131195	+	0.991357i	$0.458119\pi$
$618$	24.1890	+	52.1167i	0.973026	+	2.09644i
$619$			28.1850i			1.13285i	0.824113	+	0.566425i	$0.191674\pi$
$619$			28.1850i			1.13285i	−0.824113	+	0.566425i	$0.808326\pi$
$620$	13.5749	+	19.7674i	0.545179	+	0.793878i
$621$	−1.54270	−	2.67204i	−0.0619066	−	0.107225i
$622$	−4.17463	−	0.372756i	−0.167388	−	0.0149461i
$623$	−4.48185	+	4.48185i	−0.179561	+	0.179561i
$624$	24.9233	−	19.5277i	0.997729	−	0.781732i
$625$	−24.9939	−	0.552464i	−0.999756	−	0.0220986i
$626$	27.1900	−	22.7324i	1.08673	−	0.908568i
$627$	−13.6748	+	51.0350i	−0.546118	+	2.03814i
$628$	−15.7235	+	10.9261i	−0.627436	+	0.436000i
$629$	44.2596			1.76475
$630$	−6.95053	−	15.1946i	−0.276916	−	0.605367i
$631$	−9.03725	+	15.6530i	−0.359767	+	0.623135i	−0.987922	−	0.154953i	$-0.950477\pi$
$631$	−9.03725	+	15.6530i	−0.359767	+	0.623135i	0.628154	+	0.778089i	$0.283811\pi$
$632$	1.04298	−	3.81057i	0.0414875	−	0.151576i
$633$	−40.9769	+	10.9797i	−1.62868	+	0.436405i
$634$	15.0131	−	12.5518i	0.596246	−	0.498496i
$635$	−37.8527	+	21.5763i	−1.50214	+	0.856230i
$636$	−6.64276	−	18.4559i	−0.263403	−	0.731825i
$637$	1.20368	+	5.01795i	0.0476914	+	0.198819i
$638$	13.8366	−	19.6857i	0.547797	−	0.779365i
$639$	1.84559	−	1.06555i	0.0730104	−	0.0421526i
$640$	24.9891	−	3.94282i	0.987780	−	0.155854i
$641$	2.00373	−	3.47055i	0.0791424	−	0.137079i	−0.823738	−	0.566971i	$-0.808115\pi$
$641$	2.00373	−	3.47055i	0.0791424	−	0.137079i	0.902880	+	0.429892i	$0.141448\pi$
$642$	−0.380117	−	0.267175i	−0.0150020	−	0.0105445i
$643$	−8.93678	+	2.39460i	−0.352432	+	0.0944340i	−0.430692	−	0.902499i	$-0.641730\pi$
$643$	−8.93678	+	2.39460i	−0.352432	+	0.0944340i	0.0782595	+	0.996933i	$0.475064\pi$
$644$	1.22511	−	6.80554i	0.0482761	−	0.268176i
$645$	−1.53033	+	1.51351i	−0.0602565	+	0.0595943i
$646$	32.3981	+	11.8576i	1.27468	+	0.466530i
$647$	−7.21558	+	26.9289i	−0.283674	+	1.05868i	0.666129	+	0.745836i	$0.267950\pi$
$647$	−7.21558	+	26.9289i	−0.283674	+	1.05868i	−0.949803	+	0.312849i	$0.898717\pi$
$648$	−30.4997	+	7.99726i	−1.19814	+	0.314162i
$649$		−	70.6644i		−	2.77382i
$650$	−9.65232	+	23.5973i	−0.378595	+	0.925562i
$651$		−	34.1810i		−	1.33966i
$652$	27.2077	−	2.28235i	1.06554	−	0.0893839i
$653$	5.32536	−	19.8745i	0.208397	−	0.777749i	−0.779990	−	0.625792i	$-0.784776\pi$
$653$	5.32536	−	19.8745i	0.208397	−	0.777749i	0.988387	−	0.151957i	$-0.0485575\pi$
$654$	4.72587	−	12.9123i	0.184796	−	0.504913i
$655$	−13.0838	+	12.9401i	−0.511228	+	0.505610i
$656$	9.91889	−	1.67591i	0.387267	−	0.0654333i
$657$	−14.3601	+	3.84777i	−0.560239	+	0.150116i
$658$	−6.39005	+	9.09129i	−0.249110	+	0.354415i
$659$	−19.8414	+	34.3663i	−0.772911	+	1.33872i	0.163050	+	0.986618i	$0.447867\pi$
$659$	−19.8414	+	34.3663i	−0.772911	+	1.33872i	−0.935961	+	0.352103i	$0.885467\pi$
$660$	−37.6709	+	44.0736i	−1.46634	+	1.71556i
$661$	5.75663	−	3.32359i	0.223907	−	0.129273i	−0.383851	−	0.923395i	$-0.625402\pi$
$661$	5.75663	−	3.32359i	0.223907	−	0.129273i	0.607758	+	0.794122i	$0.292069\pi$
$662$	29.9549	+	21.0546i	1.16423	+	0.818309i
$663$	45.4285	+	13.4661i	1.76430	+	0.522980i
$664$	−5.12489	+	2.92232i	−0.198884	+	0.113408i
$665$	22.9882	−	13.1034i	0.891444	−	0.508129i
$666$	12.2048	+	14.5981i	0.472927	+	0.565663i
$667$	3.31381	−	0.887932i	0.128311	−	0.0343808i
$668$	−32.6631	−	15.3735i	−1.26378	−	0.594819i
$669$	3.75709	−	6.50747i	0.145258	−	0.251593i
$670$	34.4924	−	15.7780i	1.33256	−	0.609558i
$671$	−8.03843			−0.310320
$672$	−32.5443	−	15.5313i	−1.25542	−	0.599135i
$673$	−8.58620	+	32.0441i	−0.330974	+	1.23521i	0.577195	+	0.816606i	$0.304147\pi$
$673$	−8.58620	+	32.0441i	−0.330974	+	1.23521i	−0.908169	+	0.418605i	$0.862519\pi$
$674$	15.7015	+	18.7804i	0.604798	+	0.723393i
$675$	9.26192	−	9.05946i	0.356492	−	0.348699i
$676$	18.9448	+	17.8072i	0.728645	+	0.684892i
$677$	−19.6166	+	19.6166i	−0.753928	+	0.753928i	−0.975210	−	0.221282i	$-0.928976\pi$
$677$	−19.6166	+	19.6166i	−0.753928	+	0.753928i	0.221282	+	0.975210i	$0.428976\pi$
$678$	1.97907	−	22.1644i	0.0760057	−	0.851217i
$679$	−11.5726	−	20.0443i	−0.444114	−	0.769229i
$680$	26.4770	+	27.0600i	1.01534	+	1.03770i
$681$		−	10.3924i		−	0.398237i
$682$	−40.6188	+	18.8525i	−1.55537	+	0.721900i
$683$	−19.0623	+	5.10774i	−0.729400	+	0.195442i	−0.604362	−	0.796710i	$-0.706572\pi$
$683$	−19.0623	+	5.10774i	−0.729400	+	0.195442i	−0.125038	+	0.992152i	$0.539905\pi$
$684$	5.02297	+	13.9556i	0.192058	+	0.533604i
$685$	−5.92686	−	3.46568i	−0.226454	−	0.132417i
$686$	−17.5439	+	14.6677i	−0.669828	+	0.560014i
$687$	18.1836	+	4.87229i	0.693749	+	0.185890i
$688$	−0.165344	+	1.74598i	−0.00630369	+	0.0665647i
$689$	14.1567	−	7.68293i	0.539329	−	0.292696i
$690$	−8.15122	+	1.37589i	−0.310312	+	0.0523794i
$691$	17.7080	+	30.6711i	0.673642	+	1.16678i	0.976864	+	0.213862i	$0.0686044\pi$
$691$	17.7080	+	30.6711i	0.673642	+	1.16678i	−0.303222	+	0.952920i	$0.598062\pi$
$692$	0.110105	−	0.00923632i	0.00418557	−	0.000351112i
$693$	30.1395	−	8.07587i	1.14491	−	0.306777i
$694$	−1.00925	−	5.78421i	−0.0383106	−	0.219565i
$695$	−18.3108	+	4.79810i	−0.694569	+	0.182002i
$696$	0.0959667	−	17.8904i	0.00363761	−	0.678133i
$697$	10.6447	+	10.6447i	0.403198	+	0.403198i
$698$	7.12222	−	3.30566i	0.269580	−	0.125121i
$699$	10.5153	+	18.2131i	0.397726	+	0.688881i
$700$	28.9600	−	2.10737i	1.09458	−	0.0796510i
$701$	−7.39040			−0.279132			−0.139566	−	0.990213i	$-0.544571\pi$
$701$	−7.39040			−0.279132			−0.139566	+	0.990213i	$0.544571\pi$
$702$	−5.24447	−	12.1271i	−0.197940	−	0.457708i
$703$	−21.3072	+	21.3072i	−0.803616	+	0.803616i
$704$	−0.506821	+	47.2401i	−0.0191015	+	1.78043i
$705$	12.8125	+	3.50909i	0.482548	+	0.132160i
$706$	15.1130	−	41.2927i	0.568784	−	1.55407i
$707$	4.89562	−	4.89562i	0.184119	−	0.184119i
$708$	−29.9819	−	43.1462i	−1.12679	−	1.62153i
$709$	12.5505	−	21.7381i	0.471343	−	0.816390i	−0.528119	−	0.849170i	$-0.677103\pi$
$709$	12.5505	−	21.7381i	0.471343	−	0.816390i	0.999463	+	0.0327798i	$0.0104360\pi$
$710$	0.616403	+	3.65176i	0.0231332	+	0.137048i
$711$	2.20122	+	1.27088i	0.0825524	+	0.0476616i
$712$	5.97219	−	1.56596i	0.223817	−	0.0586867i
$713$	−6.16717	−	1.65249i	−0.230962	−	0.0618861i
$714$	−9.27572	−	53.1609i	−0.347135	−	1.98950i
$715$	−40.4517	−	25.1082i	−1.51281	−	0.938993i
$716$	4.80690	+	13.3553i	0.179642	+	0.499109i
$717$	−10.0618	+	37.5510i	−0.375763	+	1.40237i
$718$	0.00977466		0.000872786i	0.000364787		3.25721e-5i
$719$	4.17131	−	7.22491i	0.155563	−	0.269444i	−0.777701	−	0.628635i	$-0.783614\pi$
$719$	4.17131	−	7.22491i	0.155563	−	0.269444i	0.933264	+	0.359191i	$0.116947\pi$
$720$	−1.62397	+	16.1947i	−0.0605219	+	0.603542i
$721$	46.5361	+	26.8676i	1.73309	+	1.00060i
$722$	3.06752	−	1.42374i	0.114161	−	0.0529860i
$723$	−40.1325	−	40.1325i	−1.49254	−	1.49254i
$724$	17.3749	+	3.12776i	0.645731	+	0.116242i
$725$	7.06465	+	12.5547i	0.262375	+	0.466270i
$726$	−47.5420	−	56.8645i	−1.76445	−	2.11044i
$727$	0.421218	+	0.421218i	0.0156221	+	0.0156221i	0.714875	−	0.699253i	$-0.246484\pi$
$727$	0.421218	+	0.421218i	0.0156221	+	0.0156221i	−0.699253	+	0.714875i	$0.746484\pi$
$728$	8.56782	−	28.3450i	0.317544	−	1.05054i
$729$		−	3.21973i		−	0.119249i
$730$	2.43983	−	25.7197i	0.0903023	−	0.951928i
$731$	−2.27291	+	1.31226i	−0.0840665	+	0.0485358i
$732$	−4.90810	+	3.41060i	−0.181409	+	0.126059i
$733$	22.7049	−	22.7049i	0.838626	−	0.838626i	−0.150052	−	0.988678i	$-0.547944\pi$
$733$	22.7049	−	22.7049i	0.838626	−	0.838626i	0.988678	+	0.150052i	$0.0479441\pi$
$734$	15.5748	+	5.70033i	0.574877	+	0.210403i
$735$	−6.06506	−	3.54649i	−0.223713	−	0.130814i
$736$	−4.37563	+	5.12099i	−0.161288	+	0.188762i
$737$	18.3326	+	68.4181i	0.675289	+	2.52021i
$738$	−0.575590	+	6.44626i	−0.0211878	+	0.237290i
$739$	−23.0833	+	13.3272i	−0.849133	+	0.490247i	−0.860358	−	0.509690i	$-0.829760\pi$
$739$	−23.0833	+	13.3272i	−0.849133	+	0.490247i	0.0112250	+	0.999937i	$0.496427\pi$
$740$	−31.1740	+	11.0262i	−1.14598	+	0.405330i
$741$	−28.3527	+	15.3871i	−1.04156	+	0.565260i
$742$	−15.0081	−	10.5489i	−0.550966	−	0.387261i
$743$	9.86169	−	36.8043i	0.361790	−	1.35022i	−0.509930	−	0.860216i	$-0.670329\pi$
$743$	9.86169	−	36.8043i	0.361790	−	1.35022i	0.871720	−	0.490004i	$-0.163005\pi$
$744$	−16.8021	+	28.7450i	−0.615996	+	1.05384i
$745$	−15.4750	+	4.05501i	−0.566961	+	0.148564i
$746$	8.16479	+	46.7939i	0.298934	+	1.71325i
$747$	−0.982359	−	3.66621i	−0.0359426	−	0.134140i
$748$	−58.0575	+	40.3436i	−2.12279	+	1.47511i
$749$	−0.434527			−0.0158773
$750$	−14.0898	−	31.7239i	−0.514487	−	1.15839i
$751$	25.3894	−	14.6586i	0.926474	−	0.534900i	0.0407791	−	0.999168i	$-0.487016\pi$
$751$	25.3894	−	14.6586i	0.926474	−	0.534900i	0.885695	+	0.464268i	$0.153683\pi$
$752$	9.84275	−	4.50433i	0.358928	−	0.164256i
$753$	19.8037	+	19.8037i	0.721688	+	0.721688i
$754$	14.5341	−	2.14270i	0.529301	−	0.0780324i
$755$	−18.5017	−	18.7073i	−0.673345	−	0.680827i
$756$	−9.71374	+	11.4927i	−0.353285	+	0.417984i
$757$	18.1996	+	4.87657i	0.661476	+	0.177242i	0.573912	−	0.818917i	$-0.305425\pi$
$757$	18.1996	+	4.87657i	0.661476	+	0.177242i	0.0875638	+	0.996159i	$0.472092\pi$
$758$	18.9175	+	40.7587i	0.687113	+	1.48042i
$759$		−	15.4372i		−	0.560336i
$760$	−25.7734	−	0.280663i	−0.934900	−	0.0101807i
$761$	22.5345	+	13.0103i	0.816876	+	0.471624i	0.849338	−	0.527849i	$-0.177001\pi$
$761$	22.5345	+	13.0103i	0.816876	+	0.471624i	−0.0324620	+	0.999473i	$0.510335\pi$
$762$	−49.4937	−	34.7879i	−1.79297	−	1.26023i
$763$	−3.32827	−	12.4213i	−0.120491	−	0.449680i
$764$	−1.77124	−	1.49707i	−0.0640812	−	0.0541622i
$765$	−21.1606	+	12.0617i	−0.765063	+	0.436091i
$766$	1.17881	+	6.75597i	0.0425921	+	0.244103i
$767$	31.3017	−	29.6927i	1.13024	−	1.07214i
$768$	19.7339	+	29.0589i	0.712085	+	1.04857i
$769$	16.1099	+	27.9032i	0.580939	+	1.00622i	0.995368	+	0.0961349i	$0.0306480\pi$
$769$	16.1099	+	27.9032i	0.580939	+	1.00622i	−0.414429	+	0.910082i	$0.636019\pi$
$770$	−5.12084	+	53.9816i	−0.184542	+	1.94536i
$771$	32.5269	+	18.7794i	1.17143	+	0.676325i
$772$	−8.32067	−	3.91628i	−0.299467	−	0.140950i
$773$	−12.2562	−	45.7409i	−0.440826	−	1.64519i	−0.726727	−	0.686926i	$-0.758960\pi$
$773$	−12.2562	−	45.7409i	−0.440826	−	1.64519i	0.285901	−	0.958259i	$-0.407707\pi$
$774$	−1.05959	−	0.387805i	−0.0380860	−	0.0139393i
$775$	0.296251	−	26.8085i	0.0106416	−	0.962990i
$776$	−0.120936	+	22.5452i	−0.00434134	+	0.809324i
$777$	45.5274	+	12.1990i	1.63329	+	0.437638i
$778$	−53.6222	−	4.78796i	−1.92245	−	0.171657i
$779$	−10.2490			−0.367210
$780$	−35.3520	+	1.83257i	−1.26581	+	0.0656167i
$781$	−6.91591			−0.247471
$782$	−10.0401	−	0.896486i	−0.359033	−	0.0320583i
$783$	−7.21131	−	1.93226i	−0.257711	−	0.0690535i
$784$	−5.64483	+	0.953760i	−0.201601	+	0.0340629i
$785$	21.4067	+	0.118275i	0.764038	+	0.00422142i
$786$	−23.9942	−	8.78180i	−0.855846	−	0.313236i
$787$	−2.80879	−	10.4825i	−0.100122	−	0.373662i	0.897624	−	0.440762i	$-0.145292\pi$
$787$	−2.80879	−	10.4825i	−0.100122	−	0.373662i	−0.997746	+	0.0671004i	$0.978625\pi$
$788$	−4.83243	+	10.2672i	−0.172148	+	0.365752i
$789$	17.5442	+	10.1292i	0.624590	+	0.360607i
$790$	−3.40433	+	2.81440i	−0.121121	+	0.100132i
$791$	−10.4056	−	18.0231i	−0.369982	−	0.640828i
$792$	−29.3161	−	8.02401i	−1.04170	−	0.285121i
$793$	−3.37769	−	3.56073i	−0.119945	−	0.126445i
$794$	1.05199	+	6.02917i	0.0373338	+	0.213967i
$795$	−5.79291	+	21.1513i	−0.205453	+	0.750158i
$796$	1.26206	−	1.49318i	0.0447324	−	0.0529244i
$797$	−12.4564	−	46.4879i	−0.441228	−	1.64668i	−0.725708	−	0.688002i	$-0.758488\pi$
$797$	−12.4564	−	46.4879i	−0.441228	−	1.64668i	0.284481	−	0.958682i	$-0.408179\pi$
$798$	30.0578	+	21.1269i	1.06404	+	0.747885i
$799$	14.0285	+	8.09935i	0.496292	+	0.286534i
$800$	−25.3902	−	12.4635i	−0.897679	−	0.440650i
$801$			3.97218i			0.140350i
$802$	20.4572	+	44.0761i	0.722367	+	1.55638i
$803$	46.6016	+	12.4869i	1.64453	+	0.440652i
$804$	40.2224	+	33.9964i	1.41853	+	1.19896i
$805$	−5.49685	+	5.43645i	−0.193739	+	0.191610i
$806$	−25.4187	−	10.0709i	−0.895336	−	0.354734i
$807$	4.40573	+	4.40573i	0.155089	+	0.155089i
$808$	−6.52355	+	1.71053i	−0.229498	+	0.0601762i
$809$	−4.90288	+	2.83068i	−0.172376	+	0.0995214i	−0.583706	−	0.811965i	$-0.698398\pi$
$809$	−4.90288	+	2.83068i	−0.172376	+	0.0995214i	0.411330	+	0.911487i	$0.365065\pi$
$810$	33.0374	+	12.2990i	1.16081	+	0.432142i
$811$	31.9601			1.12227			0.561135	−	0.827724i	$-0.310365\pi$
$811$	31.9601			1.12227			0.561135	+	0.827724i	$0.310365\pi$
$812$	−9.54795	−	13.7402i	−0.335067	−	0.482187i
$813$	0.424573	+	1.58453i	0.0148904	+	0.0555718i
$814$	−10.6140	−	60.8307i	−0.372020	−	2.13211i
$815$	−26.3515	−	15.4088i	−0.923054	−	0.539747i
$816$	−18.3314	+	49.2660i	−0.641728	+	1.72465i
$817$	0.462467	−	1.72595i	0.0161797	−	0.0603834i
$818$	−21.5370	−	15.1378i	−0.753024	−	0.529282i
$819$	16.2417	+	9.95728i	0.567532	+	0.347936i
$820$	−10.1494	−	4.84569i	−0.354433	−	0.169219i
$821$	−9.34570	+	5.39575i	−0.326167	+	0.188313i	−0.654138	−	0.756375i	$-0.726969\pi$
$821$	−9.34570	+	5.39575i	−0.326167	+	0.188313i	0.327971	+	0.944688i	$0.393635\pi$
$822$	0.847833	−	9.49521i	0.0295716	−	0.331183i
$823$	2.39787	+	8.94897i	0.0835844	+	0.311941i	0.995042	−	0.0994519i	$-0.0317089\pi$
$823$	2.39787	+	8.94897i	0.0835844	+	0.311941i	−0.911458	+	0.411393i	$0.865042\pi$
$824$	−25.9280	−	45.4702i	−0.903245	−	1.58403i
$825$	62.7954	−	16.0844i	2.18626	−	0.559988i
$826$	−46.1442	−	16.8886i	−1.60556	−	0.587630i
$827$	−23.9503	+	23.9503i	−0.832834	+	0.832834i	−0.987904	−	0.155069i	$-0.950440\pi$
$827$	−23.9503	+	23.9503i	−0.832834	+	0.832834i	0.155069	+	0.987904i	$0.450440\pi$
$828$	−2.47292	−	3.55871i	−0.0859398	−	0.123674i
$829$	−21.8006	+	12.5866i	−0.757166	+	0.437150i	−0.828277	−	0.560319i	$-0.810679\pi$
$829$	−21.8006	+	12.5866i	−0.757166	+	0.437150i	0.0711116	+	0.997468i	$0.477345\pi$
$830$	6.56639	+	0.622905i	0.227923	+	0.0216214i
$831$			25.7725i			0.894039i
$832$	−21.1386	+	19.6255i	−0.732849	+	0.680391i
$833$	−6.05790	−	6.05790i	−0.209894	−	0.209894i
$834$	−16.8581	−	20.1638i	−0.583749	−	0.698216i
$835$	19.9872	+	35.0649i	0.691686	+	1.21347i
$836$	8.52769	−	47.3717i	0.294936	−	1.63838i
$837$	9.82458	+	9.82458i	0.339587	+	0.339587i
$838$	6.08022	−	2.82203i	0.210038	−	0.0974853i
$839$	29.8019	+	17.2061i	1.02888	+	0.594022i	0.916663	−	0.399662i	$-0.130873\pi$
$839$	29.8019	+	17.2061i	1.02888	+	0.594022i	0.112214	+	0.993684i	$0.464206\pi$
$840$	19.7770	+	35.1327i	0.682371	+	1.21219i
$841$	−10.3494	+	17.9257i	−0.356876	+	0.618127i
$842$	29.3907	+	2.62432i	1.01287	+	0.0904399i
$843$	8.21531	−	30.6599i	0.282950	−	1.05598i
$844$	36.3633	−	13.0881i	1.25167	−	0.450510i
$845$	−5.87553	−	28.4689i	−0.202125	−	0.979360i
$846$	1.19703	+	6.86041i	0.0411548	+	0.235866i
$847$	−66.9577	−	17.9413i	−2.30069	−	0.616469i
$848$	7.43587	+	16.2487i	0.255349	+	0.557982i
$849$	16.1078	+	9.29986i	0.552819	+	0.319170i
$850$	−6.81429	−	41.7750i	−0.233728	−	1.43287i
$851$	4.40207	−	7.62460i	0.150901	−	0.261368i
$852$	−4.22271	+	2.93433i	−0.144668	+	0.100528i
$853$	27.3141	−	27.3141i	0.935217	−	0.935217i	−0.0628083	−	0.998026i	$-0.520006\pi$
$853$	27.3141	−	27.3141i	0.935217	−	0.935217i	0.998026	+	0.0628083i	$0.0200057\pi$
$854$	−1.92116	+	5.24913i	−0.0657409	+	0.179622i
$855$	4.38034	−	15.9937i	0.149805	−	0.546972i
$856$	0.365422	+	0.213598i	0.0124899	+	0.00730063i
$857$	−14.4027	+	14.4027i	−0.491986	+	0.491986i	−0.908932	−	0.416945i	$-0.863101\pi$
$857$	−14.4027	+	14.4027i	−0.491986	+	0.491986i	0.416945	+	0.908932i	$0.363101\pi$
$858$	7.61361	−	65.6665i	0.259924	−	2.24182i
$859$	42.7155			1.45744			0.728718	−	0.684814i	$-0.240117\pi$
$859$	42.7155			1.45744			0.728718	+	0.684814i	$0.240117\pi$
$860$	1.27399	−	1.49052i	0.0434428	−	0.0508264i
$861$	8.01568	+	13.8836i	0.273174	+	0.473151i
$862$	−27.9534	+	12.9741i	−0.952096	+	0.441899i
$863$	32.6935	+	32.6935i	1.11290	+	1.11290i	0.992756	+	0.120145i	$0.0383359\pi$
$863$	32.6935	+	32.6935i	1.11290	+	1.11290i	0.120145	+	0.992756i	$0.461664\pi$
$864$	13.8183	−	4.88999i	0.470108	−	0.166361i
$865$	−0.106640	−	0.0623570i	−0.00362588	−	0.00212020i
$866$	7.34524	+	42.0969i	0.249601	+	1.43051i
$867$	−39.9342	+	10.7003i	−1.35624	+	0.363402i
$868$	2.60299	+	31.0300i	0.0883512	+	1.05323i
$869$	−4.12428	−	7.14346i	−0.139907	−	0.242325i
$870$	−11.5924	+	16.3006i	−0.393019	+	0.552643i
$871$	−22.6035	+	36.8695i	−0.765890	+	1.24927i
$872$	−3.30690	+	12.0819i	−0.111986	+	0.409145i
$873$	−14.0107	−	3.75416i	−0.474191	−	0.127059i
$874$	5.26502	−	4.40186i	0.178092	−	0.148895i
$875$	−27.8416	−	16.6957i	−0.941218	−	0.564417i
$876$	33.7520	−	12.1482i	1.14037	−	0.410450i
$877$	−26.9840	+	7.23033i	−0.911184	+	0.244151i	−0.683813	−	0.729657i	$-0.739680\pi$
$877$	−26.9840	+	7.23033i	−0.911184	+	0.244151i	−0.227371	+	0.973808i	$0.573013\pi$
$878$	13.1158	−	6.08745i	0.442635	−	0.205442i
$879$			42.0659i			1.41885i
$880$	30.8419	−	42.8794i	1.03968	−	1.44546i
$881$	−24.8717	−	43.0790i	−0.837948	−	1.45137i	−0.891608	−	0.452808i	$-0.850422\pi$
$881$	−24.8717	−	43.0790i	−0.837948	−	1.45137i	0.0536603	−	0.998559i	$-0.482911\pi$
$882$	0.327568	−	3.66856i	0.0110298	−	0.123527i
$883$	27.5534	−	27.5534i	0.927246	−	0.927246i	−0.0702809	−	0.997527i	$-0.522390\pi$
$883$	27.5534	−	27.5534i	0.927246	−	0.927246i	0.997527	+	0.0702809i	$0.0223896\pi$
$884$	−42.2661	−	8.76520i	−1.42156	−	0.294805i
$885$	−0.324554	+	58.7413i	−0.0109098	+	1.97457i
$886$	11.0463	+	13.2124i	0.371108	+	0.443879i
$887$	5.76132	−	21.5015i	0.193446	−	0.721951i	−0.799218	−	0.601042i	$-0.794753\pi$
$887$	5.76132	−	21.5015i	0.193446	−	0.721951i	0.992664	−	0.120909i	$-0.0385808\pi$
$888$	−32.2903	−	32.6386i	−1.08359	−	1.09528i
$889$	−56.5783			−1.89758
$890$	−6.46910	−	2.40828i	−0.216845	−	0.0807257i
$891$	−32.9158	+	57.0119i	−1.10272	+	1.90997i
$892$	−2.91517	+	6.19369i	−0.0976073	+	0.207380i
$893$	−10.6526	+	2.85437i	−0.356477	+	0.0955177i
$894$	−14.2473	−	17.0410i	−0.476501	−	0.569938i
$895$	4.19192	−	15.3057i	0.140120	−	0.511613i
$896$	30.7269	+	11.6212i	1.02651	+	0.388238i
$897$	6.83812	−	6.48662i	0.228318	−	0.216582i
$898$	27.4030	+	19.2609i	0.914449	+	0.642744i
$899$	−13.3792	+	7.72448i	−0.446221	+	0.257626i
$900$	11.8995	−	13.7672i	0.396650	−	0.458907i
$901$	−13.3706	+	23.1586i	−0.445440	+	0.771524i
$902$	12.0774	−	17.1829i	0.402135	−	0.572128i
$903$	−2.69970	+	0.723383i	−0.0898405	+	0.0240727i
$904$	−0.108741	+	20.2718i	−0.00361668	+	0.674231i
$905$	−13.8795	−	14.0337i	−0.461370	−	0.466497i
$906$	12.5562	−	34.3069i	0.417152	−	1.13977i
$907$	5.05868	−	18.8793i	0.167971	−	0.626876i	−0.829672	−	0.558251i	$-0.811472\pi$
$907$	5.05868	−	18.8793i	0.167971	−	0.626876i	0.997643	−	0.0686241i	$-0.0218609\pi$
$908$	0.791413	+	9.43435i	0.0262640	+	0.313090i
$909$		−	4.33890i		−	0.143912i
$910$	−26.0636	+	20.4144i	−0.864000	+	0.676729i
$911$			45.1986i			1.49750i	0.662854	+	0.748748i	$0.269345\pi$
$911$			45.1986i			1.49750i	−0.662854	+	0.748748i	$0.730655\pi$
$912$	−14.8923	−	32.5423i	−0.493134	−	1.07758i
$913$	−3.18797	+	11.8977i	−0.105507	+	0.393756i
$914$	−41.4045	−	15.1539i	−1.36954	−	0.501247i
$915$	6.68211	+	0.0369197i	0.220904	+	0.00122053i
$916$	−16.8784	−	3.03839i	−0.557678	−	0.100391i
$917$	−23.0817	+	6.18472i	−0.762225	+	0.204237i
$918$	17.9460	+	12.6138i	0.592308	+	0.416318i
$919$	−3.98913	+	6.90937i	−0.131589	+	0.227919i	−0.924289	−	0.381693i	$-0.875341\pi$
$919$	−3.98913	+	6.90937i	−0.131589	+	0.227919i	0.792700	+	0.609612i	$0.208675\pi$
$920$	7.29502	−	1.86980i	0.240510	−	0.0616454i
$921$	8.80543	−	5.08382i	0.290149	−	0.167518i
$922$	16.3171	−	23.2147i	0.537374	−	0.764536i
$923$	−2.90602	−	3.06349i	−0.0956527	−	0.100836i
$924$	−70.8402	+	25.4972i	−2.33047	+	0.838796i
$925$	35.6019	+	9.96242i	1.17058	+	0.327562i
$926$	−21.9769	+	18.3739i	−0.722205	+	0.603805i
$927$	32.5282	−	8.71590i	1.06837	−	0.286268i
$928$	1.27529	+	16.2484i	0.0418634	+	0.533381i
$929$	−12.2491	+	21.2161i	−0.401880	+	0.696076i	−0.993953	−	0.109808i	$-0.964976\pi$
$929$	−12.2491	+	21.2161i	−0.401880	+	0.696076i	0.592073	+	0.805884i	$0.298310\pi$
$930$	33.8518	−	15.4850i	1.11004	−	0.507773i
$931$	5.83272			0.191160
$932$	−10.9329	−	15.7333i	−0.358120	−	0.515361i
$933$	−1.68397	+	6.28466i	−0.0551307	+	0.205751i
$934$	30.5162	−	25.5133i	0.998520	−	0.834820i
$935$	79.0421	+	0.436720i	2.58495	+	0.0142823i
$936$	−8.76407	−	16.3576i	−0.286463	−	0.534664i
$937$	37.5626	−	37.5626i	1.22712	−	1.22712i	0.262069	−	0.965049i	$-0.415595\pi$
$937$	37.5626	−	37.5626i	1.22712	−	1.22712i	0.965049	−	0.262069i	$-0.0844048\pi$
$938$	49.0588	+	4.38049i	1.60183	+	0.143028i
$939$	−27.5087	−	47.6464i	−0.897711	−	1.55488i
$940$	−11.8986	−	2.20989i	−0.388090	−	0.0720786i
$941$			58.6933i			1.91335i	0.291161	+	0.956674i	$0.405959\pi$
$941$			58.6933i			1.91335i	−0.291161	+	0.956674i	$0.594041\pi$
$942$	12.5134	+	26.9609i	0.407709	+	0.878432i
$943$	2.89249	−	0.775040i	0.0941924	−	0.0252388i
$944$	30.5038	+	36.8855i	0.992813	+	1.20052i
$945$	16.2746	−	4.26452i	0.529412	−	0.138725i
$946$	2.34865	+	2.80920i	0.0763613	+	0.0913350i
$947$	2.43391	+	0.652165i	0.0790915	+	0.0211925i	0.298148	−	0.954520i	$-0.403631\pi$
$947$	2.43391	+	0.652165i	0.0790915	+	0.0211925i	−0.219056	+	0.975712i	$0.570298\pi$
$948$	−5.54907	−	2.61177i	−0.180226	−	0.0848265i
$949$	14.0504	+	25.8897i	0.456097	+	0.840414i
$950$	23.3916	+	16.8306i	0.758923	+	0.546056i
$951$	−15.1891	−	26.3083i	−0.492540	−	0.853104i
$952$	12.4690	+	47.5538i	0.404122	+	1.54123i
$953$	25.4375	−	6.81595i	0.824001	−	0.220790i	0.177906	−	0.984047i	$-0.443068\pi$
$953$	25.4375	−	6.81595i	0.824001	−	0.220790i	0.646095	+	0.763257i	$0.276401\pi$
$954$	−11.3254	+	1.97609i	−0.366672	+	0.0639784i
$955$	0.657245	+	2.50822i	0.0212679	+	0.0811642i
$956$	6.27458	−	34.8556i	0.202934	−	1.12731i
$957$	−26.4127	−	26.4127i	−0.853800	−	0.853800i
$958$	20.4249	+	44.0066i	0.659899	+	1.42179i
$959$	−4.45778	−	7.72110i	−0.143949	−	0.249327i
$960$	0.638275	−	39.2670i	0.0206002	−	1.26734i
$961$	−2.24866			−0.0725374
$962$	22.4858	−	30.2622i	0.724972	−	0.975693i
$963$	−0.192557	+	0.192557i	−0.00620505	+	0.00620505i
$964$	39.4891	+	33.3766i	1.27186	+	1.07499i
$965$	5.09158	+	8.93248i	0.163904	+	0.287547i
$966$	−10.0806	−	3.68946i	−0.324337	−	0.118706i
$967$	28.2820	−	28.2820i	0.909488	−	0.909488i	−0.0867425	−	0.996231i	$-0.527646\pi$
$967$	28.2820	−	28.2820i	0.909488	−	0.909488i	0.996231	+	0.0867425i	$0.0276457\pi$
$968$	47.4897	+	48.0019i	1.52638	+	1.54284i
$969$	26.7782	−	46.3813i	0.860241	−	1.48998i
$970$	14.6085	−	20.5418i	0.469052	−	0.659557i
$971$	−2.74479	−	1.58470i	−0.0880843	−	0.0508555i	0.455311	−	0.890333i	$-0.349528\pi$
$971$	−2.74479	−	1.58470i	−0.0880843	−	0.0508555i	−0.543395	+	0.839477i	$0.682861\pi$
$972$	2.79201	+	33.2833i	0.0895538	+	1.06756i
$973$	−23.7428	−	6.36186i	−0.761159	−	0.203952i
$974$	−55.9229	+	9.75764i	−1.79188	+	0.312655i
$975$	33.5110	+	21.0575i	1.07321	+	0.674379i
$976$	4.19591	−	3.46996i	0.134308	−	0.111071i
$977$	15.4006	−	57.4759i	0.492710	−	1.83882i	−0.0497871	−	0.998760i	$-0.515854\pi$
$977$	15.4006	−	57.4759i	0.492710	−	1.83882i	0.542497	−	0.840058i	$-0.317479\pi$
$978$	3.76957	−	42.2168i	0.120537	−	1.34995i
$979$	6.44530	−	11.1636i	0.205993	−	0.356790i
$980$	5.77602	+	2.75768i	0.184508	+	0.0880908i
$981$	−6.97926	−	4.02948i	−0.222831	−	0.128651i
$982$	−13.6878	−	29.4910i	−0.436794	−	0.941097i
$983$	−34.5295	−	34.5295i	−1.10132	−	1.10132i	−0.994252	−	0.107070i	$-0.965853\pi$
$983$	−34.5295	−	34.5295i	−1.10132	−	1.10132i	−0.107070	−	0.994252i	$-0.534147\pi$
$984$	0.0837655	−	15.6158i	0.00267035	−	0.497814i
$985$	11.0221	−	6.28267i	0.351193	−	0.200182i
$986$	−18.7122	+	15.6444i	−0.595916	+	0.498220i
$987$	12.1979	+	12.1979i	0.388264	+	0.388264i
$988$	24.5672	−	16.1278i	0.781586	−	0.513094i
$989$			0.522071i			0.0166009i
$990$	21.6522	+	26.1907i	0.688152	+	0.832395i
$991$	26.1056	−	15.0721i	0.829271	−	0.478780i	−0.0243317	−	0.999704i	$-0.507746\pi$
$991$	26.1056	−	15.0721i	0.829271	−	0.478780i	0.853603	+	0.520924i	$0.174412\pi$
$992$	13.0642	−	27.3746i	0.414789	−	0.869145i
$993$	40.1910	−	40.1910i	1.27542	−	1.27542i
$994$	−1.65288	+	4.51612i	−0.0524263	+	0.143243i
$995$	−2.11447	+	0.554067i	−0.0670332	+	0.0175651i
$996$	3.10151	+	8.61709i	0.0982752	+	0.273043i
$997$	−5.22928	−	19.5160i	−0.165613	−	0.618077i	−0.997961	−	0.0638233i	$-0.979671\pi$
$997$	−5.22928	−	19.5160i	−0.165613	−	0.618077i	0.832348	−	0.554253i	$-0.186996\pi$
$998$	−28.3176	−	2.52850i	−0.896378	−	0.0800382i
$999$	−16.5922	+	9.57952i	−0.524954	+	0.303082i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bg.c.23.19	yes	144
4.3	odd	2	inner	260.2.bg.c.23.14	✓	144
5.2	odd	4	inner	260.2.bg.c.127.1	yes	144
13.4	even	6	inner	260.2.bg.c.43.6	yes	144
20.7	even	4	inner	260.2.bg.c.127.6	yes	144
52.43	odd	6	inner	260.2.bg.c.43.1	yes	144
65.17	odd	12	inner	260.2.bg.c.147.14	yes	144
260.147	even	12	inner	260.2.bg.c.147.19	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bg.c.23.14	✓	144	4.3	odd	2	inner
260.2.bg.c.23.19	yes	144	1.1	even	1	trivial
260.2.bg.c.43.1	yes	144	52.43	odd	6	inner
260.2.bg.c.43.6	yes	144	13.4	even	6	inner
260.2.bg.c.127.1	yes	144	5.2	odd	4	inner
260.2.bg.c.127.6	yes	144	20.7	even	4	inner
260.2.bg.c.147.14	yes	144	65.17	odd	12	inner
260.2.bg.c.147.19	yes	144	260.147	even	12	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.125776 + 1.40861i) q^{2} +(2.12058 + 0.568207i) q^{3} +(-1.96836 - 0.354338i) q^{4} +(1.57238 + 1.58985i) q^{5} +(-1.06710 + 2.91560i) q^{6} +(0.751521 + 2.80471i) q^{7} +(0.746695 - 2.72808i) q^{8} +(1.57591 + 0.909854i) q^{9} +O(q^{10})\)	\(q+(-0.125776 + 1.40861i) q^{2} +(2.12058 + 0.568207i) q^{3} +(-1.96836 - 0.354338i) q^{4} +(1.57238 + 1.58985i) q^{5} +(-1.06710 + 2.91560i) q^{6} +(0.751521 + 2.80471i) q^{7} +(0.746695 - 2.72808i) q^{8} +(1.57591 + 0.909854i) q^{9} +(-2.43725 + 2.01490i) q^{10} +(-2.95268 - 5.11419i) q^{11} +(-3.97272 - 1.86984i) q^{12} +(1.02470 - 3.45688i) q^{13} +(-4.04527 + 0.705835i) q^{14} +(2.43099 + 4.26484i) q^{15} +(3.74889 + 1.39493i) q^{16} +(1.54928 + 5.78200i) q^{17} +(-1.47984 + 2.10541i) q^{18} +(-3.52938 - 2.03769i) q^{19} +(-2.53167 - 3.68655i) q^{20} +6.37463i q^{21} +(7.57527 - 3.51593i) q^{22} +(1.15016 + 0.308183i) q^{23} +(3.13354 - 5.36084i) q^{24} +(-0.0552498 + 4.99969i) q^{25} +(4.74050 + 1.87820i) q^{26} +(-1.83225 - 1.83225i) q^{27} +(-0.485449 - 5.78698i) q^{28} +(2.49517 - 1.44059i) q^{29} +(-6.31325 + 2.88790i) q^{30} -5.36203 q^{31} +(-2.43643 + 5.10527i) q^{32} +(-3.35547 - 12.5228i) q^{33} +(-8.33944 + 1.45510i) q^{34} +(-3.27740 + 5.60488i) q^{35} +(-2.77957 - 2.34933i) q^{36} +(1.91368 - 7.14196i) q^{37} +(3.31422 - 4.71523i) q^{38} +(4.13718 - 6.74833i) q^{39} +(5.51133 - 3.10245i) q^{40} +(2.17794 - 1.25743i) q^{41} +(-8.97937 - 0.801774i) q^{42} +(0.113478 + 0.423507i) q^{43} +(3.99979 + 11.1128i) q^{44} +(1.03140 + 3.93610i) q^{45} +(-0.578772 + 1.58136i) q^{46} +(1.91351 - 1.91351i) q^{47} +(7.15720 + 5.08820i) q^{48} +(-1.23946 + 0.715605i) q^{49} +(-7.03567 - 0.706665i) q^{50} +13.1415i q^{51} +(-3.24188 + 6.44129i) q^{52} +(3.15887 + 3.15887i) q^{53} +(2.81138 - 2.35047i) q^{54} +(3.48807 - 12.7358i) q^{55} +(8.21266 + 0.0440539i) q^{56} +(-6.32649 - 6.32649i) q^{57} +(1.71540 + 3.69592i) q^{58} +(10.3630 + 5.98308i) q^{59} +(-3.27387 - 9.25613i) q^{60} +(0.680605 - 1.17884i) q^{61} +(0.674413 - 7.55300i) q^{62} +(-1.36755 + 5.10376i) q^{63} +(-6.88489 - 4.07410i) q^{64} +(7.10713 - 3.80639i) q^{65} +(18.0617 - 3.15148i) q^{66} +(-11.5858 - 3.10440i) q^{67} +(-1.00077 - 11.9300i) q^{68} +(2.26388 + 1.30705i) q^{69} +(-7.48287 - 5.32154i) q^{70} +(0.585562 - 1.01422i) q^{71} +(3.65889 - 3.61984i) q^{72} +(-5.77691 + 5.77691i) q^{73} +(9.81954 + 3.59392i) q^{74} +(-2.95802 + 10.5708i) q^{75} +(6.22506 + 5.26150i) q^{76} +(12.1248 - 12.1248i) q^{77} +(8.98540 + 6.67645i) q^{78} +1.39679 q^{79} +(3.67695 + 8.15353i) q^{80} +(-5.57389 - 9.65427i) q^{81} +(1.49730 + 3.22602i) q^{82} +(-1.47488 - 1.47488i) q^{83} +(2.25877 - 12.5476i) q^{84} +(-6.75645 + 11.5546i) q^{85} +(-0.610829 + 0.106580i) q^{86} +(6.10976 - 1.63711i) q^{87} +(-16.1567 + 4.23642i) q^{88} +(1.09143 + 1.89042i) q^{89} +(-5.67416 + 0.957775i) q^{90} +(10.4656 + 0.276082i) q^{91} +(-2.15472 - 1.01416i) q^{92} +(-11.3706 - 3.04674i) q^{93} +(2.45472 + 2.93606i) q^{94} +(-2.30990 - 8.81520i) q^{95} +(-8.06749 + 9.44173i) q^{96} +(-7.69943 + 2.06306i) q^{97} +(-0.852113 - 1.83593i) q^{98} -10.7460i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) \) 144 * q - 6 * q^2 - 12 * q^6	\( 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Introduction

L-functions

Modular forms

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