LMFDB - Embedded newform 130.2.p.a.37.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(7,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.p (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:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} + 24x^{10} + 192x^{8} + 680x^{6} + 1104x^{4} + 672x^{2} + 4 $ x^12 + 24x^10 + 192x^8 + 680x^6 + 1104x^4 + 672*x^2 + 4
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			37.3
Root			$-2.19540i$ of defining polynomial
Character	$\chi$	$=$	130.37
Dual form			130.2.p.a.123.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 - 0.500000i) q^{2} +(1.09770 + 0.294128i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.803571 - 2.08669i) q^{5} +(1.09770 - 0.294128i) q^{6} +(-2.54283 + 4.40431i) q^{7} -1.00000i q^{8} +(-1.47964 - 0.854273i) q^{9} +O(q^{10})$	\(q+(0.866025 - 0.500000i) q^{2} +(1.09770 + 0.294128i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.803571 - 2.08669i) q^{5} +(1.09770 - 0.294128i) q^{6} +(-2.54283 + 4.40431i) q^{7} -1.00000i q^{8} +(-1.47964 - 0.854273i) q^{9} +(-0.347432 - 2.20891i) q^{10} +(-2.27450 - 0.609451i) q^{11} +(0.803571 - 0.803571i) q^{12} +(3.54587 + 0.653311i) q^{13} +5.08566i q^{14} +(1.49583 - 2.05420i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.0601456 - 0.224466i) q^{17} -1.70855 q^{18} +(1.53173 + 5.71650i) q^{19} +(-1.40534 - 1.73926i) q^{20} +(-4.08669 + 4.08669i) q^{21} +(-2.27450 + 0.609451i) q^{22} +(0.674508 - 2.51730i) q^{23} +(0.294128 - 1.09770i) q^{24} +(-3.70855 - 3.35361i) q^{25} +(3.39747 - 1.20715i) q^{26} +(-3.78365 - 3.78365i) q^{27} +(2.54283 + 4.40431i) q^{28} +(-2.64005 + 1.52424i) q^{29} +(0.268327 - 2.52691i) q^{30} +(-4.45724 - 4.45724i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-2.31746 - 1.33799i) q^{33} +(-0.164321 - 0.164321i) q^{34} +(7.14708 + 8.84527i) q^{35} +(-1.47964 + 0.854273i) q^{36} +(2.49129 + 4.31504i) q^{37} +(4.18477 + 4.18477i) q^{38} +(3.70014 + 1.76008i) q^{39} +(-2.08669 - 0.803571i) q^{40} +(-0.412182 + 1.53828i) q^{41} +(-1.49583 + 5.58252i) q^{42} +(1.66986 - 0.447439i) q^{43} +(-1.66505 + 1.66505i) q^{44} +(-2.97160 + 2.40109i) q^{45} +(-0.674508 - 2.51730i) q^{46} +12.2085 q^{47} +(-0.294128 - 1.09770i) q^{48} +(-9.43196 - 16.3366i) q^{49} +(-4.88850 - 1.05004i) q^{50} -0.264087i q^{51} +(2.33872 - 2.74416i) q^{52} +(5.79976 - 5.79976i) q^{53} +(-5.16857 - 1.38491i) q^{54} +(-3.09946 + 4.25644i) q^{55} +(4.40431 + 2.54283i) q^{56} +6.72552i q^{57} +(-1.52424 + 2.64005i) q^{58} +(-2.68956 + 0.720664i) q^{59} +(-1.03108 - 2.32253i) q^{60} +(4.23519 - 7.33556i) q^{61} +(-6.08870 - 1.63146i) q^{62} +(7.52497 - 4.34454i) q^{63} -1.00000 q^{64} +(4.21262 - 6.87414i) q^{65} -2.67598 q^{66} +(0.150151 - 0.0866895i) q^{67} +(-0.224466 - 0.0601456i) q^{68} +(1.48081 - 2.56484i) q^{69} +(10.6122 + 4.08669i) q^{70} +(4.17468 - 1.11860i) q^{71} +(-0.854273 + 1.47964i) q^{72} +7.51162i q^{73} +(4.31504 + 2.49129i) q^{74} +(-3.08448 - 4.77204i) q^{75} +(5.71650 + 1.53173i) q^{76} +(8.46788 - 8.46788i) q^{77} +(4.08445 - 0.325798i) q^{78} +5.17433i q^{79} +(-2.20891 + 0.347432i) q^{80} +(-0.477616 - 0.827255i) q^{81} +(0.412182 + 1.53828i) q^{82} -10.4618 q^{83} +(1.49583 + 5.58252i) q^{84} +(-0.516723 - 0.0548696i) q^{85} +(1.22243 - 1.22243i) q^{86} +(-3.34630 + 0.896639i) q^{87} +(-0.609451 + 2.27450i) q^{88} +(1.49814 - 5.59114i) q^{89} +(-1.37294 + 3.56521i) q^{90} +(-11.8939 + 13.9558i) q^{91} +(-1.84279 - 1.84279i) q^{92} +(-3.58171 - 6.20370i) q^{93} +(10.5729 - 6.10425i) q^{94} +(13.1594 + 1.39737i) q^{95} +(-0.803571 - 0.803571i) q^{96} +(-7.02276 - 4.05459i) q^{97} +(-16.3366 - 9.43196i) q^{98} +(2.84482 + 2.84482i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{4} - 24 q^{9}+O(q^{10}) $ 12 * q + 6 * q^4 - 24 * q^9	$ 12 q + 6 q^{4} - 24 q^{9} + 6 q^{11} - 12 q^{13} - 6 q^{15} - 6 q^{16} + 12 q^{17} + 12 q^{18} + 36 q^{19} - 6 q^{20} - 24 q^{21} + 6 q^{22} + 6 q^{23} - 12 q^{25} + 6 q^{26} - 12 q^{27} + 6 q^{29} + 6 q^{30} - 24 q^{31} - 6 q^{33} - 12 q^{34} - 12 q^{35} - 24 q^{36} - 6 q^{38} + 6 q^{39} + 18 q^{41} + 6 q^{42} + 6 q^{44} + 12 q^{45} - 6 q^{46} + 12 q^{47} - 24 q^{50} - 6 q^{52} + 18 q^{53} - 6 q^{54} - 24 q^{55} + 6 q^{56} + 6 q^{58} + 18 q^{59} + 24 q^{60} + 18 q^{61} + 12 q^{62} + 30 q^{63} - 12 q^{64} + 30 q^{65} - 36 q^{66} + 12 q^{67} - 42 q^{69} + 24 q^{70} + 18 q^{71} + 6 q^{72} + 6 q^{74} - 12 q^{75} + 30 q^{76} + 30 q^{77} + 30 q^{78} - 6 q^{80} + 30 q^{81} - 18 q^{82} - 48 q^{83} - 6 q^{84} - 18 q^{85} + 12 q^{87} + 6 q^{89} - 12 q^{90} - 6 q^{91} - 42 q^{93} + 24 q^{94} + 30 q^{95} - 102 q^{97} - 48 q^{98} + 54 q^{99}+O(q^{100}) $ 12 * q + 6 * q^4 - 24 * q^9 + 6 * q^11 - 12 * q^13 - 6 * q^15 - 6 * q^16 + 12 * q^17 + 12 * q^18 + 36 * q^19 - 6 * q^20 - 24 * q^21 + 6 * q^22 + 6 * q^23 - 12 * q^25 + 6 * q^26 - 12 * q^27 + 6 * q^29 + 6 * q^30 - 24 * q^31 - 6 * q^33 - 12 * q^34 - 12 * q^35 - 24 * q^36 - 6 * q^38 + 6 * q^39 + 18 * q^41 + 6 * q^42 + 6 * q^44 + 12 * q^45 - 6 * q^46 + 12 * q^47 - 24 * q^50 - 6 * q^52 + 18 * q^53 - 6 * q^54 - 24 * q^55 + 6 * q^56 + 6 * q^58 + 18 * q^59 + 24 * q^60 + 18 * q^61 + 12 * q^62 + 30 * q^63 - 12 * q^64 + 30 * q^65 - 36 * q^66 + 12 * q^67 - 42 * q^69 + 24 * q^70 + 18 * q^71 + 6 * q^72 + 6 * q^74 - 12 * q^75 + 30 * q^76 + 30 * q^77 + 30 * q^78 - 6 * q^80 + 30 * q^81 - 18 * q^82 - 48 * q^83 - 6 * q^84 - 18 * q^85 + 12 * q^87 + 6 * q^89 - 12 * q^90 - 6 * q^91 - 42 * q^93 + 24 * q^94 + 30 * q^95 - 102 * q^97 - 48 * q^98 + 54 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{12}\right)$

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 $

$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$3$	1.09770	+	0.294128i	0.633757	+	0.169815i	0.561374	−	0.827562i	$-0.310273\pi$
$3$	1.09770	+	0.294128i	0.633757	+	0.169815i	0.0723829	+	0.997377i	$0.476940\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	0.803571	−	2.08669i	0.359368	−	0.933196i
$5$	0.803571	−	2.08669i	0.359368	−	0.933196i
$6$	1.09770	−	0.294128i	0.448134	−	0.120077i
$7$	−2.54283	+	4.40431i	−0.961099	+	1.66467i	−0.241350	+	0.970438i	$0.577590\pi$
$7$	−2.54283	+	4.40431i	−0.961099	+	1.66467i	−0.719749	+	0.694234i	$0.755743\pi$
$8$		−	1.00000i		−	0.353553i
$9$	−1.47964	−	0.854273i	−0.493215	−	0.284758i
$10$	−0.347432	−	2.20891i	−0.109868	−	0.698519i
$11$	−2.27450	−	0.609451i	−0.685788	−	0.183756i	−0.100932	−	0.994893i	$-0.532182\pi$
$11$	−2.27450	−	0.609451i	−0.685788	−	0.183756i	−0.584856	+	0.811137i	$0.698849\pi$
$12$	0.803571	−	0.803571i	0.231971	−	0.231971i
$13$	3.54587	+	0.653311i	0.983447	+	0.181196i
$13$	3.54587	+	0.653311i	0.983447	+	0.181196i
$14$			5.08566i			1.35920i
$15$	1.49583	−	2.05420i	0.386222	−	0.530393i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−0.0601456	−	0.224466i	−0.0145874	−	0.0544411i	0.958248	−	0.285937i	$-0.0923047\pi$
$17$	−0.0601456	−	0.224466i	−0.0145874	−	0.0544411i	−0.972836	+	0.231496i	$0.925638\pi$
$18$	−1.70855			−0.402708
$19$	1.53173	+	5.71650i	0.351403	+	1.31145i	0.884951	+	0.465684i	$0.154192\pi$
$19$	1.53173	+	5.71650i	0.351403	+	1.31145i	−0.533548	+	0.845770i	$0.679142\pi$
$20$	−1.40534	−	1.73926i	−0.314244	−	0.388910i
$21$	−4.08669	+	4.08669i	−0.891789	+	0.891789i
$22$	−2.27450	+	0.609451i	−0.484926	+	0.129935i
$23$	0.674508	−	2.51730i	0.140645	−	0.524893i	−0.859266	−	0.511529i	$-0.829079\pi$
$23$	0.674508	−	2.51730i	0.140645	−	0.524893i	0.999911	−	0.0133638i	$-0.00425396\pi$
$24$	0.294128	−	1.09770i	0.0600385	−	0.224067i
$25$	−3.70855	−	3.35361i	−0.741709	−	0.670722i
$26$	3.39747	−	1.20715i	0.666298	−	0.236742i
$27$	−3.78365	−	3.78365i	−0.728164	−	0.728164i
$28$	2.54283	+	4.40431i	0.480550	+	0.832336i
$29$	−2.64005	+	1.52424i	−0.490246	+	0.283043i	−0.724676	−	0.689089i	$-0.758011\pi$
$29$	−2.64005	+	1.52424i	−0.490246	+	0.283043i	0.234431	+	0.972133i	$0.424677\pi$
$30$	0.268327	−	2.52691i	0.0489895	−	0.461348i
$31$	−4.45724	−	4.45724i	−0.800543	−	0.800543i	0.182637	−	0.983180i	$-0.441537\pi$
$31$	−4.45724	−	4.45724i	−0.800543	−	0.800543i	−0.983180	+	0.182637i	$0.941537\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	−2.31746	−	1.33799i	−0.403418	−	0.232914i
$34$	−0.164321	−	0.164321i	−0.0281808	−	0.0281808i
$35$	7.14708	+	8.84527i	1.20808	+	1.49512i
$36$	−1.47964	+	0.854273i	−0.246607	+	0.142379i
$37$	2.49129	+	4.31504i	0.409565	+	0.709387i	0.994841	−	0.101447i	$-0.0323471\pi$
$37$	2.49129	+	4.31504i	0.409565	+	0.709387i	−0.585276	+	0.810834i	$0.699014\pi$
$38$	4.18477	+	4.18477i	0.678859	+	0.678859i
$39$	3.70014	+	1.76008i	0.592496	+	0.281838i
$40$	−2.08669	−	0.803571i	−0.329935	−	0.127056i
$41$	−0.412182	+	1.53828i	−0.0643720	+	0.240240i	−0.990614	−	0.136690i	$-0.956354\pi$
$41$	−0.412182	+	1.53828i	−0.0643720	+	0.240240i	0.926242	+	0.376930i	$0.123020\pi$
$42$	−1.49583	+	5.58252i	−0.230812	+	0.861402i
$43$	1.66986	−	0.447439i	0.254652	−	0.0682338i	−0.129235	−	0.991614i	$-0.541252\pi$
$43$	1.66986	−	0.447439i	0.254652	−	0.0682338i	0.383887	+	0.923380i	$0.374585\pi$
$44$	−1.66505	+	1.66505i	−0.251016	+	0.251016i
$45$	−2.97160	+	2.40109i	−0.442980	+	0.357933i
$46$	−0.674508	−	2.51730i	−0.0994507	−	0.371155i
$47$	12.2085			1.78079			0.890397	−	0.455185i	$-0.150427\pi$
$47$	12.2085			1.78079			0.890397	+	0.455185i	$0.150427\pi$
$48$	−0.294128	−	1.09770i	−0.0424537	−	0.158439i
$49$	−9.43196	−	16.3366i	−1.34742	−	2.33381i
$50$	−4.88850	−	1.05004i	−0.691338	−	0.148498i
$51$		−	0.264087i		−	0.0369796i
$52$	2.33872	−	2.74416i	0.324322	−	0.380546i
$53$	5.79976	−	5.79976i	0.796658	−	0.796658i	−0.185909	−	0.982567i	$-0.559523\pi$
$53$	5.79976	−	5.79976i	0.796658	−	0.796658i	0.982567	+	0.185909i	$0.0595230\pi$
$54$	−5.16857	−	1.38491i	−0.703353	−	0.188463i
$55$	−3.09946	+	4.25644i	−0.417931	+	0.573939i
$56$	4.40431	+	2.54283i	0.588551	+	0.339800i
$57$			6.72552i			0.890816i
$58$	−1.52424	+	2.64005i	−0.200142	+	0.346656i
$59$	−2.68956	+	0.720664i	−0.350150	+	0.0938225i	−0.429607	−	0.903016i	$-0.641348\pi$
$59$	−2.68956	+	0.720664i	−0.350150	+	0.0938225i	0.0794571	+	0.996838i	$0.474681\pi$
$60$	−1.03108	−	2.32253i	−0.133111	−	0.299837i
$61$	4.23519	−	7.33556i	0.542260	−	0.939222i	−0.456514	−	0.889716i	$-0.650902\pi$
$61$	4.23519	−	7.33556i	0.542260	−	0.939222i	0.998774	−	0.0495058i	$-0.0157646\pi$
$62$	−6.08870	−	1.63146i	−0.773265	−	0.207196i
$63$	7.52497	−	4.34454i	0.948057	−	0.547361i
$64$	−1.00000			−0.125000
$65$	4.21262	−	6.87414i	0.522511	−	0.852633i
$66$	−2.67598			−0.329390
$67$	0.150151	−	0.0866895i	0.0183438	−	0.0105908i	−0.490800	−	0.871272i	$-0.663295\pi$
$67$	0.150151	−	0.0866895i	0.0183438	−	0.0105908i	0.509144	+	0.860681i	$0.329962\pi$
$68$	−0.224466	−	0.0601456i	−0.0272205	−	0.00729372i
$69$	1.48081	−	2.56484i	0.178269	−	0.308771i
$70$	10.6122	+	4.08669i	1.26840	+	0.488453i
$71$	4.17468	−	1.11860i	0.495443	−	0.132754i	−0.00244131	−	0.999997i	$-0.500777\pi$
$71$	4.17468	−	1.11860i	0.495443	−	0.132754i	0.497884	+	0.867243i	$0.334110\pi$
$72$	−0.854273	+	1.47964i	−0.100677	+	0.174378i
$73$			7.51162i			0.879169i	0.898201	+	0.439584i	$0.144874\pi$
$73$			7.51162i			0.879169i	−0.898201	+	0.439584i	$0.855126\pi$
$74$	4.31504	+	2.49129i	0.501613	+	0.289606i
$75$	−3.08448	−	4.77204i	−0.356165	−	0.551027i
$76$	5.71650	+	1.53173i	0.655727	+	0.175702i
$77$	8.46788	−	8.46788i	0.965005	−	0.965005i
$78$	4.08445	−	0.325798i	0.462473	−	0.0368894i
$79$			5.17433i			0.582157i	0.956699	+	0.291079i	$0.0940142\pi$
$79$			5.17433i			0.582157i	−0.956699	+	0.291079i	$0.905986\pi$
$80$	−2.20891	+	0.347432i	−0.246964	+	0.0388440i
$81$	−0.477616	−	0.827255i	−0.0530684	−	0.0919172i
$82$	0.412182	+	1.53828i	0.0455179	+	0.169875i
$83$	−10.4618			−1.14833			−0.574167	−	0.818738i	$-0.694674\pi$
$83$	−10.4618			−1.14833			−0.574167	+	0.818738i	$0.694674\pi$
$84$	1.49583	+	5.58252i	0.163209	+	0.609103i
$85$	−0.516723	−	0.0548696i	−0.0560465	−	0.00595144i
$86$	1.22243	−	1.22243i	0.131818	−	0.131818i
$87$	−3.34630	+	0.896639i	−0.358761	+	0.0961298i
$88$	−0.609451	+	2.27450i	−0.0649677	+	0.242463i
$89$	1.49814	−	5.59114i	0.158803	−	0.592659i	−0.839947	−	0.542668i	$-0.817414\pi$
$89$	1.49814	−	5.59114i	0.158803	−	0.592659i	0.998750	−	0.0499910i	$-0.0159193\pi$
$90$	−1.37294	+	3.56521i	−0.144720	+	0.375806i
$91$	−11.8939	+	13.9558i	−1.24682	+	1.46297i
$92$	−1.84279	−	1.84279i	−0.192124	−	0.192124i
$93$	−3.58171	−	6.20370i	−0.371406	−	0.643294i
$94$	10.5729	−	6.10425i	1.09051	−	0.629606i
$95$	13.1594	+	1.39737i	1.35013	+	0.143367i
$96$	−0.803571	−	0.803571i	−0.0820142	−	0.0820142i
$97$	−7.02276	−	4.05459i	−0.713053	−	0.411682i	0.0991372	−	0.995074i	$-0.468392\pi$
$97$	−7.02276	−	4.05459i	−0.713053	−	0.411682i	−0.812191	+	0.583392i	$0.801725\pi$
$98$	−16.3366	−	9.43196i	−1.65025	−	0.952772i
$99$	2.84482	+	2.84482i	0.285915	+	0.285915i
$100$	−4.75858	+	1.53489i	−0.475858	+	0.153489i
$101$	1.70816	−	0.986207i	0.169968	−	0.0981313i	−0.412603	−	0.910911i	$-0.635380\pi$
$101$	1.70816	−	0.986207i	0.169968	−	0.0981313i	0.582571	+	0.812780i	$0.302047\pi$
$102$	−0.132043	−	0.228706i	−0.0130742	−	0.0226453i
$103$	2.95875	+	2.95875i	0.291535	+	0.291535i	0.837686	−	0.546152i	$-0.183908\pi$
$103$	2.95875	+	2.95875i	0.291535	+	0.291535i	−0.546152	+	0.837686i	$0.683908\pi$
$104$	0.653311	−	3.54587i	0.0640625	−	0.347701i
$105$	5.24371	+	11.8116i	0.511733	+	1.15269i
$106$	2.12286	−	7.92262i	0.206190	−	0.769512i
$107$	0.699833	−	2.61181i	0.0676554	−	0.252493i	−0.923812	−	0.382846i	$-0.874944\pi$
$107$	0.699833	−	2.61181i	0.0676554	−	0.252493i	0.991468	+	0.130352i	$0.0416108\pi$
$108$	−5.16857	+	1.38491i	−0.497345	+	0.133263i
$109$	−0.246506	+	0.246506i	−0.0236110	+	0.0236110i	−0.718814	−	0.695203i	$-0.755315\pi$
$109$	−0.246506	+	0.246506i	−0.0236110	+	0.0236110i	0.695203	+	0.718814i	$0.255315\pi$
$110$	−0.555990	+	5.23592i	−0.0530116	+	0.499225i
$111$	1.46551	+	5.46937i	0.139100	+	0.519129i
$112$	5.08566			0.480550
$113$	4.84482	+	18.0811i	0.455762	+	1.70093i	0.685838	+	0.727755i	$0.259436\pi$
$113$	4.84482	+	18.0811i	0.455762	+	1.70093i	−0.230076	+	0.973173i	$0.573897\pi$
$114$	3.36276	+	5.82447i	0.314951	+	0.545511i
$115$	−4.71080	−	3.43031i	−0.439284	−	0.319879i
$116$			3.04847i			0.283043i
$117$	−4.68852	−	3.99581i	−0.433454	−	0.369413i
$118$	−1.96889	+	1.96889i	−0.181251	+	0.181251i
$119$	1.14156	+	0.305880i	0.104647	+	0.0280400i
$120$	−2.05420	−	1.49583i	−0.187522	−	0.136550i
$121$	−4.72435	−	2.72760i	−0.429486	−	0.247964i
$122$		−	8.47038i		−	0.766872i
$123$	−0.904903	+	1.56734i	−0.0815924	+	0.141322i
$124$	−6.08870	+	1.63146i	−0.546781	+	0.146510i
$125$	−9.97802	+	5.04372i	−0.892461	+	0.451124i
$126$	4.34454	−	7.52497i	0.387043	−	0.670377i
$127$	11.2535	+	3.01537i	0.998589	+	0.267571i	0.720854	−	0.693087i	$-0.243750\pi$
$127$	11.2535	+	3.01537i	0.998589	+	0.267571i	0.277735	+	0.960658i	$0.410416\pi$
$128$	−0.866025	+	0.500000i	−0.0765466	+	0.0441942i
$129$	1.96461			0.172975
$130$	0.211161	−	8.05949i	0.0185200	−	0.706864i
$131$	0.0331068			0.00289255			0.00144628	−	0.999999i	$-0.499540\pi$
$131$	0.0331068			0.00289255			0.00144628	+	0.999999i	$0.499540\pi$
$132$	−2.31746	+	1.33799i	−0.201709	+	0.116457i
$133$	−29.0721	−	7.78986i	−2.52087	−	0.675466i
$134$	0.0866895	−	0.150151i	0.00748883	−	0.0129710i
$135$	−10.9357	+	4.85487i	−0.941199	+	0.417841i
$136$	−0.224466	+	0.0601456i	−0.0192478	+	0.00515744i
$137$	−8.01741	+	13.8866i	−0.684973	+	1.18641i	0.288472	+	0.957488i	$0.406853\pi$
$137$	−8.01741	+	13.8866i	−0.684973	+	1.18641i	−0.973445	+	0.228920i	$0.926481\pi$
$138$		−	2.96162i		−	0.252110i
$139$	−10.2104	−	5.89499i	−0.866036	−	0.500006i	−7.25681e−6	−	1.00000i	$-0.500002\pi$
$139$	−10.2104	−	5.89499i	−0.866036	−	0.500006i	−0.866029	+	0.499994i	$0.833336\pi$
$140$	11.2338	−	1.76692i	0.949427	−	0.149332i
$141$	13.4013	+	3.59086i	1.12859	+	0.302405i
$142$	3.05608	−	3.05608i	0.256460	−	0.256460i
$143$	−7.66693	−	3.64699i	−0.641141	−	0.304977i
$144$			1.70855i			0.142379i
$145$	1.05913	+	6.73380i	0.0879564	+	0.559212i
$146$	3.75581	+	6.50526i	0.310833	+	0.538379i
$147$	−5.54840	−	20.7069i	−0.457624	−	1.70788i
$148$	4.98257			0.409565
$149$	1.63268	+	6.09326i	0.133755	+	0.499180i	1.00000		0.000439648i	$-0.000139944\pi$
$149$	1.63268	+	6.09326i	0.133755	+	0.499180i	−0.866245	+	0.499619i	$0.833473\pi$
$150$	−5.05726	−	2.59047i	−0.412923	−	0.211511i
$151$	−8.35102	+	8.35102i	−0.679596	+	0.679596i	−0.959909	−	0.280312i	$-0.909562\pi$
$151$	−8.35102	+	8.35102i	−0.679596	+	0.679596i	0.280312	+	0.959909i	$0.409562\pi$
$152$	5.71650	−	1.53173i	0.463669	−	0.124240i
$153$	−0.102761	+	0.383511i	−0.00830777	+	0.0310050i
$154$	3.09946	−	11.5673i	0.249762	−	0.932123i
$155$	−12.8826	+	5.71916i	−1.03475	+	0.459374i
$156$	3.37434	−	2.32438i	0.270163	−	0.186099i
$157$	4.24033	+	4.24033i	0.338415	+	0.338415i	0.855771	−	0.517355i	$-0.173083\pi$
$157$	4.24033	+	4.24033i	0.338415	+	0.338415i	−0.517355	+	0.855771i	$0.673083\pi$
$158$	2.58716	+	4.48110i	0.205824	+	0.356497i
$159$	8.07225	−	4.66052i	0.640171	−	0.369603i
$160$	−1.73926	+	1.40534i	−0.137500	+	0.111102i
$161$	9.37179	+	9.37179i	0.738601	+	0.738601i
$162$	−0.827255	−	0.477616i	−0.0649953	−	0.0375250i
$163$	0.582869	+	0.336520i	0.0456539	+	0.0263583i	0.522653	−	0.852545i	$-0.324942\pi$
$163$	0.582869	+	0.336520i	0.0456539	+	0.0263583i	−0.476999	+	0.878904i	$0.658276\pi$
$164$	1.12610	+	1.12610i	0.0879338	+	0.0879338i
$165$	−4.65421	+	3.76066i	−0.362330	+	0.292767i
$166$	−9.06020	+	5.23091i	−0.703208	+	0.405997i
$167$	−7.75958	−	13.4400i	−0.600454	−	1.04002i	−0.992752	−	0.120179i	$-0.961653\pi$
$167$	−7.75958	−	13.4400i	−0.600454	−	1.04002i	0.392298	−	0.919838i	$-0.371680\pi$
$168$	4.08669	+	4.08669i	0.315295	+	0.315295i
$169$	12.1464	+	4.63311i	0.934336	+	0.356393i
$170$	−0.474930	+	0.210843i	−0.0364255	+	0.0161709i
$171$	2.61703	−	9.76690i	0.200129	−	0.746893i
$172$	0.447439	−	1.66986i	0.0341169	−	0.127326i
$173$	6.68747	−	1.79190i	0.508439	−	0.136236i	0.00452521	−	0.999990i	$-0.498560\pi$
$173$	6.68747	−	1.79190i	0.508439	−	0.136236i	0.503914	+	0.863754i	$0.331893\pi$
$174$	−2.44966	+	2.44966i	−0.185709	+	0.185709i
$175$	24.2005	−	7.80593i	1.82939	−	0.590073i
$176$	0.609451	+	2.27450i	0.0459391	+	0.171447i
$177$	−3.16429			−0.237843
$178$	−1.49814	−	5.59114i	−0.112290	−	0.419073i
$179$	2.10463	+	3.64532i	0.157307	+	0.272464i	0.933897	−	0.357543i	$-0.116385\pi$
$179$	2.10463	+	3.64532i	0.157307	+	0.272464i	−0.776590	+	0.630007i	$0.783052\pi$
$180$	0.593603	+	3.77403i	0.0442445	+	0.281299i
$181$			3.16207i			0.235035i	0.993071	+	0.117517i	$0.0374936\pi$
$181$			3.16207i			0.235035i	−0.993071	+	0.117517i	$0.962506\pi$
$182$	−3.32252	+	18.0331i	−0.246281	+	1.33670i
$183$	6.80655	−	6.80655i	0.503155	−	0.503155i
$184$	−2.51730	−	0.674508i	−0.185578	−	0.0497254i
$185$	11.0061	−	1.73110i	0.809182	−	0.127273i
$186$	−6.20370	−	3.58171i	−0.454877	−	0.262624i
$187$			0.547205i			0.0400156i
$188$	6.10425	−	10.5729i	0.445198	−	0.771106i
$189$	26.2856	−	7.04319i	1.91199	−	0.512317i
$190$	12.0951	−	5.36955i	0.877468	−	0.389548i
$191$	−0.197335	+	0.341794i	−0.0142786	+	0.0247313i	−0.873076	−	0.487583i	$-0.837879\pi$
$191$	−0.197335	+	0.341794i	−0.0142786	+	0.0247313i	0.858798	+	0.512315i	$0.171212\pi$
$192$	−1.09770	−	0.294128i	−0.0792196	−	0.0212268i
$193$	−3.96361	+	2.28839i	−0.285307	+	0.164722i	−0.635824	−	0.771834i	$-0.719339\pi$
$193$	−3.96361	+	2.28839i	−0.285307	+	0.164722i	0.350516	+	0.936557i	$0.386006\pi$
$194$	−8.10919			−0.582206
$195$	6.64606	−	6.30669i	0.475934	−	0.451632i
$196$	−18.8639			−1.34742
$197$	−11.4387	+	6.60414i	−0.814974	+	0.470526i	−0.848680	−	0.528906i	$-0.822602\pi$
$197$	−11.4387	+	6.60414i	−0.814974	+	0.470526i	0.0337059	+	0.999432i	$0.489269\pi$
$198$	3.88609	+	1.04128i	0.276173	+	0.0740002i
$199$	0.235102	−	0.407209i	0.0166660	−	0.0288663i	−0.857572	−	0.514364i	$-0.828028\pi$
$199$	0.235102	−	0.407209i	0.0166660	−	0.0288663i	0.874238	+	0.485497i	$0.161361\pi$
$200$	−3.35361	+	3.70855i	−0.237136	+	0.262234i
$201$	0.190318	−	0.0509955i	0.0134240	−	0.00359695i
$202$	0.986207	−	1.70816i	0.0693893	−	0.120186i
$203$		−	15.5035i		−	1.08813i
$204$	−0.228706	−	0.132043i	−0.0160126	−	0.00924489i
$205$	2.87870	+	2.09622i	0.201057	+	0.146406i
$206$	4.04173	+	1.08298i	0.281601	+	0.0754547i
$207$	−3.14849	+	3.14849i	−0.218835	+	0.218835i
$208$	−1.20715	−	3.39747i	−0.0837008	−	0.235572i
$209$		−	13.9357i		−	0.963953i
$210$	10.4470	+	7.60729i	0.720910	+	0.524953i
$211$	−0.198933	−	0.344563i	−0.0136951	−	0.0237207i	0.859097	−	0.511813i	$-0.171026\pi$
$211$	−0.198933	−	0.344563i	−0.0136951	−	0.0237207i	−0.872792	+	0.488093i	$0.837693\pi$
$212$	−2.12286	−	7.92262i	−0.145799	−	0.544127i
$213$	4.91155			0.336534
$214$	−0.699833	−	2.61181i	−0.0478396	−	0.178540i
$215$	0.408189	−	3.84404i	0.0278383	−	0.262161i
$216$	−3.78365	+	3.78365i	−0.257445	+	0.257445i
$217$	30.9650	−	8.29706i	2.10204	−	0.563241i
$218$	−0.0902276	+	0.336734i	−0.00611098	+	0.0228065i
$219$	−2.20937	+	8.24550i	−0.149296	+	0.557179i
$220$	2.13646	+	4.81243i	0.144040	+	0.324454i
$221$	−0.0666219	−	0.835222i	−0.00448147	−	0.0561831i
$222$	4.00385	+	4.00385i	0.268721	+	0.268721i
$223$	−5.16996	−	8.95464i	−0.346206	−	0.599647i	0.639366	−	0.768903i	$-0.279197\pi$
$223$	−5.16996	−	8.95464i	−0.346206	−	0.599647i	−0.985572	+	0.169256i	$0.945864\pi$
$224$	4.40431	−	2.54283i	0.294275	−	0.169900i
$225$	2.62243	+	8.13026i	0.174829	+	0.542017i
$226$	13.2363	+	13.2363i	0.880465	+	0.880465i
$227$	−14.8787	−	8.59020i	−0.987532	−	0.570152i	−0.0829963	−	0.996550i	$-0.526449\pi$
$227$	−14.8787	−	8.59020i	−0.987532	−	0.570152i	−0.904536	+	0.426398i	$0.859782\pi$
$228$	5.82447	+	3.36276i	0.385735	+	0.222704i
$229$	14.7806	+	14.7806i	0.976727	+	0.976727i	0.999735	−	0.0230084i	$-0.00732444\pi$
$229$	14.7806	+	14.7806i	0.976727	+	0.976727i	−0.0230084	+	0.999735i	$0.507324\pi$
$230$	−5.79483	−	0.615339i	−0.382100	−	0.0405743i
$231$	11.7858	−	6.80455i	0.775450	−	0.447706i
$232$	1.52424	+	2.64005i	0.100071	+	0.173328i
$233$	−4.70499	−	4.70499i	−0.308234	−	0.308234i	0.535990	−	0.844224i	$-0.319938\pi$
$233$	−4.70499	−	4.70499i	−0.308234	−	0.308234i	−0.844224	+	0.535990i	$0.819938\pi$
$234$	−6.05828	−	1.11621i	−0.396042	−	0.0729691i
$235$	9.81040	−	25.4754i	0.639960	−	1.66183i
$236$	−0.720664	+	2.68956i	−0.0469112	+	0.175075i
$237$	−1.52191	+	5.67985i	−0.0988588	+	0.368946i
$238$	1.14156	−	0.305880i	0.0739963	−	0.0198272i
$239$	−12.7809	+	12.7809i	−0.826725	+	0.826725i	−0.987062	−	0.160338i	$-0.948742\pi$
$239$	−12.7809	+	12.7809i	−0.826725	+	0.826725i	0.160338	+	0.987062i	$0.448742\pi$
$240$	−2.52691	−	0.268327i	−0.163111	−	0.0173204i
$241$	−4.38745	−	16.3742i	−0.282621	−	1.05475i	−0.950561	−	0.310539i	$-0.899490\pi$
$241$	−4.38745	−	16.3742i	−0.282621	−	1.05475i	0.667940	−	0.744215i	$-0.267176\pi$
$242$	−5.45521			−0.350674
$243$	3.87378	+	14.4571i	0.248503	+	0.927426i
$244$	−4.23519	−	7.33556i	−0.271130	−	0.469611i
$245$	−41.6687	+	6.55392i	−2.66212	+	0.418715i
$246$			1.80981i			0.115389i
$247$	1.69666	+	21.2706i	0.107956	+	1.35342i
$248$	−4.45724	+	4.45724i	−0.283035	+	0.283035i
$249$	−11.4839	−	3.07711i	−0.727764	−	0.195004i
$250$	−6.11936	+	9.35700i	−0.387022	+	0.591789i
$251$	−12.2639	−	7.08057i	−0.774091	−	0.446922i	0.0602409	−	0.998184i	$-0.480813\pi$
$251$	−12.2639	−	7.08057i	−0.774091	−	0.446922i	−0.834332	+	0.551262i	$0.814146\pi$
$252$		−	8.68908i		−	0.547361i
$253$	−3.06834	+	5.31452i	−0.192905	+	0.334121i
$254$	11.2535	−	3.01537i	0.706109	−	0.189201i
$255$	−0.551067	−	0.212213i	−0.0345092	−	0.0132893i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	7.12155	+	1.90821i	0.444230	+	0.119031i	0.473998	−	0.880526i	$-0.342810\pi$
$257$	7.12155	+	1.90821i	0.444230	+	0.119031i	−0.0297683	+	0.999557i	$0.509477\pi$
$258$	1.70140	−	0.982306i	0.105925	−	0.0611557i
$259$	−25.3397			−1.57453
$260$	−3.84688	−	7.08531i	−0.238573	−	0.439412i
$261$	5.20845			0.322395
$262$	0.0286713	−	0.0165534i	0.00177132	−	0.00102267i
$263$	7.22196	+	1.93512i	0.445325	+	0.119325i	0.474511	−	0.880249i	$-0.342625\pi$
$263$	7.22196	+	1.93512i	0.445325	+	0.119325i	−0.0291859	+	0.999574i	$0.509291\pi$
$264$	−1.33799	+	2.31746i	−0.0823475	+	0.142630i
$265$	−7.44177	−	16.7628i	−0.457145	−	1.02973i
$266$	−29.0721	+	7.78986i	−1.78253	+	0.477627i
$267$	3.28901	−	5.69674i	0.201284	−	0.348635i
$268$		−	0.173379i		−	0.0105908i
$269$	−27.0086	−	15.5934i	−1.64674	−	0.950747i	−0.978355	−	0.206932i	$-0.933652\pi$
$269$	−27.0086	−	15.5934i	−1.64674	−	0.950747i	−0.668386	−	0.743814i	$-0.733015\pi$
$270$	−7.04319	+	9.67232i	−0.428635	+	0.588638i
$271$	6.34609	+	1.70043i	0.385498	+	0.103294i	0.446362	−	0.894852i	$-0.352719\pi$
$271$	6.34609	+	1.70043i	0.385498	+	0.103294i	−0.0608649	+	0.998146i	$0.519386\pi$
$272$	−0.164321	+	0.164321i	−0.00996341	+	0.00996341i
$273$	−17.1607	+	11.8210i	−1.03862	+	0.715438i
$274$			16.0348i			0.968698i
$275$	6.39124	+	9.88797i	0.385406	+	0.596267i
$276$	−1.48081	−	2.56484i	−0.0891344	−	0.154385i
$277$	6.61798	+	24.6986i	0.397636	+	1.48400i	0.817244	+	0.576291i	$0.195501\pi$
$277$	6.61798	+	24.6986i	0.397636	+	1.48400i	−0.419609	+	0.907705i	$0.637833\pi$
$278$	−11.7900			−0.707116
$279$	2.78743	+	10.4028i	0.166879	+	0.622801i
$280$	8.84527	−	7.14708i	0.528606	−	0.427120i
$281$	17.2339	−	17.2339i	1.02809	−	1.02809i	0.0284940	−	0.999594i	$-0.490929\pi$
$281$	17.2339	−	17.2339i	1.02809	−	1.02809i	0.999594	−	0.0284940i	$-0.00907114\pi$
$282$	13.4013	−	3.59086i	0.798034	−	0.213832i
$283$	−6.77672	+	25.2911i	−0.402834	+	1.50340i	0.405180	+	0.914237i	$0.367209\pi$
$283$	−6.77672	+	25.2911i	−0.402834	+	1.50340i	−0.808015	+	0.589162i	$0.799458\pi$
$284$	1.11860	−	4.17468i	0.0663768	−	0.247721i
$285$	14.0341	+	5.40443i	0.831306	+	0.320131i
$286$	−8.46325	+	0.675075i	−0.500442	+	0.0399180i
$287$	−5.72697	−	5.72697i	−0.338052	−	0.338052i
$288$	0.854273	+	1.47964i	0.0503385	+	0.0871889i
$289$	14.6757	−	8.47300i	0.863274	−	0.498412i
$290$	4.28414	+	5.30208i	0.251573	+	0.311349i
$291$	−6.51631	−	6.51631i	−0.381993	−	0.381993i
$292$	6.50526	+	3.75581i	0.380691	+	0.219792i
$293$	26.3169	+	15.1941i	1.53745	+	0.887646i	0.998987	+	0.0449959i	$0.0143275\pi$
$293$	26.3169	+	15.1941i	1.53745	+	0.887646i	0.538461	+	0.842650i	$0.319006\pi$
$294$	−15.1585	−	15.1585i	−0.884062	−	0.884062i
$295$	−0.657447	+	6.19137i	−0.0382781	+	0.360476i
$296$	4.31504	−	2.49129i	0.250806	−	0.144803i
$297$	6.29998	+	10.9119i	0.365562	+	0.633172i
$298$	4.46058	+	4.46058i	0.258394	+	0.258394i
$299$	4.03629	−	8.48534i	0.233425	−	0.490720i
$300$	−5.67494	+	0.285218i	−0.327643	+	0.0164671i
$301$	−2.27552	+	8.49236i	−0.131159	+	0.489492i
$302$	−3.05669	+	11.4077i	−0.175892	+	0.656440i
$303$	2.16512	−	0.580141i	0.124383	−	0.0333283i
$304$	4.18477	−	4.18477i	0.240013	−	0.240013i
$305$	−11.9038	−	14.7322i	−0.681607	−	0.843561i
$306$	0.102761	+	0.383511i	0.00587448	+	0.0219239i
$307$	−24.0393			−1.37200			−0.685999	−	0.727603i	$-0.740635\pi$
$307$	−24.0393			−1.37200			−0.685999	+	0.727603i	$0.740635\pi$
$308$	−3.09946	−	11.5673i	−0.176608	−	0.659111i
$309$	2.37757	+	4.11807i	0.135255	+	0.234269i
$310$	−8.29706	+	11.3942i	−0.471241	+	0.647149i
$311$		−	27.9508i		−	1.58494i	−0.609908	−	0.792472i	$-0.708794\pi$
$311$		−	27.9508i		−	1.58494i	0.609908	−	0.792472i	$-0.291206\pi$
$312$	1.76008	−	3.70014i	0.0996447	−	0.209479i
$313$	−5.36474	+	5.36474i	−0.303233	+	0.303233i	−0.842277	−	0.539044i	$-0.818785\pi$
$313$	−5.36474	+	5.36474i	−0.303233	+	0.303233i	0.539044	+	0.842277i	$0.318785\pi$
$314$	5.79240	+	1.55207i	0.326884	+	0.0875883i
$315$	−3.01886	−	19.1934i	−0.170094	−	1.08143i
$316$	4.48110	+	2.58716i	0.252082	+	0.145539i
$317$		−	24.4967i		−	1.37587i	−0.725771	−	0.687936i	$-0.758517\pi$
$317$		−	24.4967i		−	1.37587i	0.725771	−	0.687936i	$-0.241483\pi$
$318$	4.66052	−	8.07225i	0.261349	−	0.452670i
$319$	6.93376	−	1.85789i	0.388216	−	0.104022i
$320$	−0.803571	+	2.08669i	−0.0449210	+	0.116649i
$321$	1.53641	−	2.66114i	0.0857542	−	0.148531i
$322$	12.8021	+	3.43031i	0.713434	+	0.191164i
$323$	1.19103	−	0.687644i	0.0662709	−	0.0382615i
$324$	−0.955231			−0.0530684
$325$	−10.9591	−	14.3143i	−0.607900	−	0.794014i
$326$	0.673040			0.0372762
$327$	−0.343094	+	0.198085i	−0.0189731	+	0.0109542i
$328$	1.53828	+	0.412182i	0.0849375	+	0.0227589i
$329$	−31.0441	+	53.7700i	−1.71152	+	2.96444i
$330$	−2.15034	+	5.58393i	−0.118372	+	0.307385i
$331$	15.4430	−	4.13794i	0.848825	−	0.227442i	0.191916	−	0.981411i	$-0.438530\pi$
$331$	15.4430	−	4.13794i	0.848825	−	0.227442i	0.656909	+	0.753969i	$0.271863\pi$
$332$	−5.23091	+	9.06020i	−0.287084	+	0.497243i
$333$		−	8.51296i		−	0.466507i
$334$	−13.4400	−	7.75958i	−0.735403	−	0.424585i
$335$	−0.0602373	−	0.382979i	−0.00329112	−	0.0209244i
$336$	5.58252	+	1.49583i	0.304552	+	0.0816043i
$337$	12.7720	−	12.7720i	0.695736	−	0.695736i	−0.267752	−	0.963488i	$-0.586281\pi$
$337$	12.7720	−	12.7720i	0.695736	−	0.695736i	0.963488	+	0.267752i	$0.0862806\pi$
$338$	12.8356	−	2.06079i	0.698166	−	0.112092i
$339$			21.2726i			1.15537i
$340$	−0.305880	+	0.420060i	−0.0165887	+	0.0227810i
$341$	7.42153	+	12.8545i	0.401898	+	0.696108i
$342$	−2.61703	−	9.76690i	−0.141513	−	0.528133i
$343$	60.3359			3.25783
$344$	−0.447439	−	1.66986i	−0.0241243	−	0.0900331i
$345$	−4.16209	−	5.15103i	−0.224079	−	0.277322i
$346$	4.89557	−	4.89557i	0.263187	−	0.263187i
$347$	−15.3648	+	4.11700i	−0.824828	+	0.221012i	−0.646456	−	0.762951i	$-0.723750\pi$
$347$	−15.3648	+	4.11700i	−0.824828	+	0.221012i	−0.178372	+	0.983963i	$0.557083\pi$
$348$	−0.896639	+	3.34630i	−0.0480649	+	0.179381i
$349$	2.14632	−	8.01016i	0.114890	−	0.428774i	−0.884389	−	0.466751i	$-0.845425\pi$
$349$	2.14632	−	8.01016i	0.114890	−	0.428774i	0.999279	+	0.0379765i	$0.0120912\pi$
$350$	17.0553	−	18.8604i	0.911644	−	1.00813i
$351$	−10.9444	−	15.8882i	−0.584171	−	0.848051i
$352$	1.66505	+	1.66505i	0.0887475	+	0.0887475i
$353$	5.12905	+	8.88377i	0.272992	+	0.472835i	0.969626	−	0.244591i	$-0.0786536\pi$
$353$	5.12905	+	8.88377i	0.272992	+	0.472835i	−0.696635	+	0.717426i	$0.745320\pi$
$354$	−2.74035	+	1.58214i	−0.145648	+	0.0840900i
$355$	1.02048	−	9.61013i	0.0541613	−	0.510053i
$356$	−4.09300	−	4.09300i	−0.216928	−	0.216928i
$357$	1.16312	+	0.671528i	0.0615589	+	0.0355410i
$358$	3.64532	+	2.10463i	0.192661	+	0.111233i
$359$	−2.07900	−	2.07900i	−0.109726	−	0.109726i	0.650112	−	0.759838i	$-0.274722\pi$
$359$	−2.07900	−	2.07900i	−0.109726	−	0.109726i	−0.759838	+	0.650112i	$0.774722\pi$
$360$	2.40109	+	2.97160i	0.126549	+	0.156617i
$361$	−13.8776	+	8.01226i	−0.730403	+	0.421698i
$362$	1.58104	+	2.73843i	0.0830974	+	0.143929i
$363$	−4.38365	−	4.38365i	−0.230082	−	0.230082i
$364$	6.13915	+	17.2784i	0.321779	+	0.905632i
$365$	15.6744	+	6.03612i	0.820437	+	0.315945i
$366$	2.49137	−	9.29792i	0.130226	−	0.486010i
$367$	−2.53421	+	9.45779i	−0.132285	+	0.493693i	−0.999994	−	0.00337845i	$-0.998925\pi$
$367$	−2.53421	+	9.45779i	−0.132285	+	0.493693i	0.867710	+	0.497071i	$0.165591\pi$
$368$	−2.51730	+	0.674508i	−0.131223	+	0.0351611i
$369$	1.92400	−	1.92400i	0.100159	−	0.100159i
$370$	8.66598	−	7.00221i	0.450523	−	0.364028i
$371$	10.7961	+	40.2917i	0.560507	+	2.09184i
$372$	−7.16341			−0.371406
$373$	1.08847	+	4.06222i	0.0563588	+	0.210334i	0.988363	−	0.152114i	$-0.0486079\pi$
$373$	1.08847	+	4.06222i	0.0563588	+	0.210334i	−0.932004	+	0.362447i	$0.881941\pi$
$374$	0.273603	+	0.473893i	0.0141476	+	0.0245044i
$375$	−12.4364	+	2.60168i	−0.642211	+	0.134350i
$376$		−	12.2085i		−	0.629606i
$377$	−10.3571	+	3.67996i	−0.533417	+	0.189528i
$378$	19.2424	−	19.2424i	0.989721	−	0.989721i
$379$	30.0901	+	8.06262i	1.54563	+	0.414149i	0.928078	−	0.372385i	$-0.121460\pi$
$379$	30.0901	+	8.06262i	1.54563	+	0.414149i	0.617547	+	0.786534i	$0.288127\pi$
$380$	7.78986	−	10.6977i	0.399611	−	0.548780i
$381$	11.4661	+	6.61994i	0.587425	+	0.339150i
$382$			0.394669i			0.0201930i
$383$	1.84486	−	3.19539i	0.0942679	−	0.163277i	−0.815035	−	0.579412i	$-0.803282\pi$
$383$	1.84486	−	3.19539i	0.0942679	−	0.163277i	0.909303	+	0.416135i	$0.136616\pi$
$384$	−1.09770	+	0.294128i	−0.0560167	+	0.0150096i
$385$	−10.8653	−	24.4744i	−0.553747	−	1.24733i
$386$	−2.28839	+	3.96361i	−0.116476	+	0.201743i
$387$	−2.85304	−	0.764470i	−0.145028	−	0.0388602i
$388$	−7.02276	+	4.05459i	−0.356527	+	0.205841i
$389$	−3.10440			−0.157399			−0.0786996	−	0.996898i	$-0.525077\pi$
$389$	−3.10440			−0.157399			−0.0786996	+	0.996898i	$0.525077\pi$
$390$	2.60231	−	8.78479i	0.131773	−	0.444835i
$391$	−0.605617			−0.0306274
$392$	−16.3366	+	9.43196i	−0.825125	+	0.476386i
$393$	0.0363412	+	0.00973761i	0.00183317	+	0.000491197i
$394$	−6.60414	+	11.4387i	−0.332712	+	0.576274i
$395$	10.7972	+	4.15794i	0.543267	+	0.209209i
$396$	3.88609	−	1.04128i	0.195284	−	0.0523261i
$397$	−5.05708	+	8.75911i	−0.253807	+	0.439607i	−0.964571	−	0.263824i	$-0.915016\pi$
$397$	−5.05708	+	8.75911i	−0.253807	+	0.439607i	0.710764	+	0.703431i	$0.248350\pi$
$398$		−	0.470204i		−	0.0235692i
$399$	−29.6213	−	17.1018i	−1.48292	−	0.856163i
$400$	−1.05004	+	4.88850i	−0.0525018	+	0.244425i
$401$	16.3539	+	4.38202i	0.816676	+	0.218828i	0.642893	−	0.765956i	$-0.277734\pi$
$401$	16.3539	+	4.38202i	0.816676	+	0.218828i	0.173783	+	0.984784i	$0.444401\pi$
$402$	0.139322	−	0.139322i	0.00694877	−	0.00694877i
$403$	−12.8928	−	18.7167i	−0.642237	−	0.932347i
$404$		−	1.97241i		−	0.0981313i
$405$	−2.11002	+	0.331878i	−0.104848	+	0.0164911i
$406$	−7.75174	−	13.4264i	−0.384712	−	0.666342i
$407$	−3.03664	−	11.3329i	−0.150520	−	0.561750i
$408$	−0.264087			−0.0130742
$409$	−9.36769	−	34.9607i	−0.463203	−	1.72870i	−0.662781	−	0.748814i	$-0.730624\pi$
$409$	−9.36769	−	34.9607i	−0.463203	−	1.72870i	0.199578	−	0.979882i	$-0.436043\pi$
$410$	3.54114	+	0.376025i	0.174884	+	0.0185706i
$411$	−12.8851	+	12.8851i	−0.635576	+	0.635576i
$412$	4.04173	−	1.08298i	0.199122	−	0.0533545i
$413$	3.66505	−	13.6782i	0.180345	−	0.673058i
$414$	−1.15243	+	4.30092i	−0.0566387	+	0.211379i
$415$	−8.40682	+	21.8306i	−0.412675	+	1.07162i
$416$	−2.74416	−	2.33872i	−0.134543	−	0.114665i
$417$	−9.47409	−	9.47409i	−0.463948	−	0.463948i
$418$	−6.96785	−	12.0687i	−0.340809	−	0.590298i
$419$	−1.26150	+	0.728326i	−0.0616282	+	0.0355810i	−0.530497	−	0.847687i	$-0.677995\pi$
$419$	−1.26150	+	0.728326i	−0.0616282	+	0.0355810i	0.468869	+	0.883268i	$0.344662\pi$
$420$	12.8510	+	1.36462i	0.627064	+	0.0665865i
$421$	−19.6293	−	19.6293i	−0.956672	−	0.956672i	0.0424280	−	0.999100i	$-0.486491\pi$
$421$	−19.6293	−	19.6293i	−0.956672	−	0.956672i	−0.999100	+	0.0424280i	$0.986491\pi$
$422$	−0.344563	−	0.198933i	−0.0167730	−	0.00968392i
$423$	−18.0642	−	10.4294i	−0.878314	−	0.507095i
$424$	−5.79976	−	5.79976i	−0.281661	−	0.281661i
$425$	−0.529719	+	1.03415i	−0.0256952	+	0.0501636i
$426$	4.25353	−	2.45577i	0.206084	−	0.118983i
$427$	21.5387	+	37.3062i	1.04233	+	1.80537i
$428$	−1.91198	−	1.91198i	−0.0924190	−	0.0924190i
$429$	−7.34330	−	6.25835i	−0.354538	−	0.302156i
$430$	−1.56852	−	3.53313i	−0.0756406	−	0.170383i
$431$	3.81600	−	14.2415i	0.183810	−	0.685990i	−0.811072	−	0.584947i	$-0.801115\pi$
$431$	3.81600	−	14.2415i	0.183810	−	0.685990i	0.994882	−	0.101043i	$-0.0322180\pi$
$432$	−1.38491	+	5.16857i	−0.0666317	+	0.248673i
$433$	16.8720	−	4.52084i	0.810818	−	0.217258i	0.170490	−	0.985359i	$-0.445465\pi$
$433$	16.8720	−	4.52084i	0.810818	−	0.217258i	0.640328	+	0.768102i	$0.278798\pi$
$434$	22.6680	−	22.6680i	1.08810	−	1.08810i
$435$	−0.817986	+	7.70321i	−0.0392194	+	0.369341i
$436$	0.0902276	+	0.336734i	0.00432112	+	0.0161266i
$437$	15.4233			0.737795
$438$	2.20937	+	8.24550i	0.105568	+	0.393985i
$439$	16.2110	+	28.0783i	0.773708	+	1.34010i	0.935518	+	0.353280i	$0.114934\pi$
$439$	16.2110	+	28.0783i	0.773708	+	1.34010i	−0.161810	+	0.986822i	$0.551733\pi$
$440$	4.25644	+	3.09946i	0.202918	+	0.147761i
$441$			32.2299i			1.53476i
$442$	−0.475307	−	0.690012i	−0.0226081	−	0.0328205i
$443$	−15.3092	+	15.3092i	−0.727361	+	0.727361i	−0.970093	−	0.242732i	$-0.921956\pi$
$443$	−15.3092	+	15.3092i	−0.727361	+	0.727361i	0.242732	+	0.970093i	$0.421956\pi$
$444$	5.46937	+	1.46551i	0.259565	+	0.0695501i
$445$	−10.4631	−	7.61903i	−0.495999	−	0.361177i
$446$	−8.95464	−	5.16996i	−0.424014	−	0.244805i
$447$			7.16879i			0.339072i
$448$	2.54283	−	4.40431i	0.120137	−	0.208084i
$449$	30.6825	−	8.22136i	1.44800	−	0.387990i	0.552671	−	0.833399i	$-0.313609\pi$
$449$	30.6825	−	8.22136i	1.44800	−	0.387990i	0.895327	+	0.445409i	$0.146942\pi$
$450$	6.33622	+	5.72979i	0.298692	+	0.270105i
$451$	1.87502	−	3.24763i	0.0882912	−	0.152925i
$452$	18.0811	+	4.84482i	0.850464	+	0.227881i
$453$	−11.6232	+	6.71064i	−0.546104	+	0.315293i
$454$	−17.1804			−0.806316
$455$	19.5639	+	36.0334i	0.917170	+	1.68927i
$456$	6.72552			0.314951
$457$	30.9254	−	17.8548i	1.44663	−	0.835211i	0.448349	−	0.893859i	$-0.352012\pi$
$457$	30.9254	−	17.8548i	1.44663	−	0.835211i	0.998279	+	0.0586475i	$0.0186788\pi$
$458$	20.1906	+	5.41006i	0.943446	+	0.252796i
$459$	−0.621733	+	1.07687i	−0.0290200	+	0.0502641i
$460$	−5.32614	+	2.36452i	−0.248333	+	0.110246i
$461$	−16.5550	+	4.43589i	−0.771041	+	0.206600i	−0.622831	−	0.782356i	$-0.714018\pi$
$461$	−16.5550	+	4.43589i	−0.771041	+	0.206600i	−0.148210	+	0.988956i	$0.547351\pi$
$462$	6.80455	−	11.7858i	0.316576	−	0.548326i
$463$			23.1158i			1.07428i	0.843493	+	0.537141i	$0.180496\pi$
$463$			23.1158i			1.07428i	−0.843493	+	0.537141i	$0.819504\pi$
$464$	2.64005	+	1.52424i	0.122561	+	0.0707609i
$465$	−15.8234	+	2.48880i	−0.733790	+	0.115415i
$466$	−6.42714	−	1.72215i	−0.297731	−	0.0797769i
$467$	18.9202	−	18.9202i	0.875523	−	0.875523i	−0.117544	−	0.993068i	$-0.537502\pi$
$467$	18.9202	−	18.9202i	0.875523	−	0.875523i	0.993068	+	0.117544i	$0.0375022\pi$
$468$	−5.80473	+	2.06247i	−0.268324	+	0.0953378i
$469$			0.881746i			0.0407153i
$470$	−4.24162	−	26.9675i	−0.195651	−	1.24392i
$471$	3.40741	+	5.90180i	0.157005	+	0.271941i
$472$	0.720664	+	2.68956i	0.0331713	+	0.123797i
$473$	−4.07080			−0.187176
$474$	1.52191	+	5.67985i	0.0699038	+	0.260884i
$475$	13.4904	−	26.3367i	0.618982	−	1.20841i
$476$	0.835679	−	0.835679i	0.0383033	−	0.0383033i
$477$	−13.5362	+	3.62700i	−0.619778	+	0.166069i
$478$	−4.67812	+	17.4590i	−0.213972	+	0.798555i
$479$	9.04171	−	33.7441i	0.413126	−	1.54181i	−0.375433	−	0.926850i	$-0.622506\pi$
$479$	9.04171	−	33.7441i	0.413126	−	1.54181i	0.788559	−	0.614959i	$-0.210827\pi$
$480$	−2.32253	+	1.03108i	−0.106009	+	0.0470620i
$481$	6.01471	+	16.9281i	0.274247	+	0.771857i
$482$	−11.9867	−	11.9867i	−0.545981	−	0.545981i
$483$	7.53091	+	13.0439i	0.342668	+	0.593519i
$484$	−4.72435	+	2.72760i	−0.214743	+	0.123982i
$485$	−14.1040	+	11.3962i	−0.640428	+	0.517473i
$486$	10.5834	+	10.5834i	0.480071	+	0.480071i
$487$	−18.7772	−	10.8410i	−0.850876	−	0.491253i	0.0100704	−	0.999949i	$-0.496794\pi$
$487$	−18.7772	−	10.8410i	−0.850876	−	0.491253i	−0.860946	+	0.508696i	$0.830128\pi$
$488$	−7.33556	−	4.23519i	−0.332065	−	0.191718i
$489$	0.540835	+	0.540835i	0.0244574	+	0.0244574i
$490$	−32.8092	+	26.5102i	−1.48217	+	1.19761i
$491$	0.727746	−	0.420164i	0.0328427	−	0.0189617i	−0.483489	−	0.875351i	$-0.660631\pi$
$491$	0.727746	−	0.420164i	0.0328427	−	0.0189617i	0.516331	+	0.856389i	$0.327297\pi$
$492$	0.904903	+	1.56734i	0.0407962	+	0.0706611i
$493$	0.500927	+	0.500927i	0.0225606	+	0.0225606i
$494$	12.1047	+	17.5726i	0.544615	+	0.790628i
$495$	8.22226	−	3.65024i	0.369563	−	0.164066i
$496$	−1.63146	+	6.08870i	−0.0732548	+	0.273391i
$497$	−5.68882	+	21.2310i	−0.255179	+	0.952340i
$498$	−11.4839	+	3.07711i	−0.514607	+	0.137889i
$499$	−6.66127	+	6.66127i	−0.298199	+	0.298199i	−0.840308	−	0.542109i	$-0.817626\pi$
$499$	−6.66127	+	6.66127i	−0.298199	+	0.298199i	0.542109	+	0.840308i	$0.317626\pi$
$500$	−0.621019	+	11.1631i	−0.0277728	+	0.499228i
$501$	−4.56461	−	17.0354i	−0.203932	−	0.761084i
$502$	−14.1611			−0.632043
$503$	−5.02726	−	18.7620i	−0.224155	−	0.836556i	−0.982741	−	0.184984i	$-0.940777\pi$
$503$	−5.02726	−	18.7620i	−0.224155	−	0.836556i	0.758587	−	0.651572i	$-0.225890\pi$
$504$	−4.34454	−	7.52497i	−0.193521	−	0.335189i
$505$	−0.685279	−	4.35689i	−0.0304945	−	0.193879i
$506$			6.13668i			0.272809i
$507$	11.9703	+	8.65834i	0.531621	+	0.384531i
$508$	8.23815	−	8.23815i	0.365509	−	0.365509i
$509$	−19.8521	−	5.31935i	−0.879928	−	0.235776i	−0.209552	−	0.977798i	$-0.567200\pi$
$509$	−19.8521	−	5.31935i	−0.879928	−	0.235776i	−0.670376	+	0.742022i	$0.733867\pi$
$510$	−0.583345	+	0.0917521i	−0.0258309	+	0.00406285i
$511$	−33.0835	−	19.1008i	−1.46353	−	0.844968i
$512$			1.00000i			0.0441942i
$513$	15.8337	−	27.4248i	0.699075	−	1.21083i
$514$	7.12155	−	1.90821i	0.314118	−	0.0841677i
$515$	8.55157	−	3.79643i	0.376827	−	0.167291i
$516$	0.982306	−	1.70140i	0.0432436	−	0.0749002i
$517$	−27.7683	−	7.44049i	−1.22125	−	0.327232i
$518$	−21.9448	+	12.6698i	−0.964199	+	0.556681i
$519$	7.86788			0.345362
$520$	−6.87414	−	4.21262i	−0.301451	−	0.184735i
$521$	−34.3311			−1.50407			−0.752036	−	0.659122i	$-0.770928\pi$
$521$	−34.3311			−1.50407			−0.752036	+	0.659122i	$0.770928\pi$
$522$	4.51065	−	2.60423i	0.197426	−	0.113984i
$523$	−11.5228	−	3.08754i	−0.503859	−	0.135009i	−0.00206841	−	0.999998i	$-0.500658\pi$
$523$	−11.5228	−	3.08754i	−0.503859	−	0.135009i	−0.501790	+	0.864989i	$0.667325\pi$
$524$	0.0165534	−	0.0286713i	0.000723138	−	0.00125251i
$525$	28.8608	−	1.45052i	1.25959	−	0.0633060i
$526$	7.22196	−	1.93512i	0.314893	−	0.0843752i
$527$	−0.732416	+	1.26858i	−0.0319046	+	0.0552603i
$528$			2.67598i			0.116457i
$529$	14.0368	+	8.10413i	0.610294	+	0.352353i
$530$	−14.8262	−	10.7961i	−0.644008	−	0.468954i
$531$	4.59523	+	1.23129i	0.199416	+	0.0534333i
$532$	−21.2823	+	21.2823i	−0.922704	+	0.922704i
$533$	−2.46652	+	5.18527i	−0.106837	+	0.224599i
$534$		−	6.57803i		−	0.284659i
$535$	−4.88768	−	3.55911i	−0.211313	−	0.153874i
$536$	−0.0866895	−	0.150151i	−0.00374442	−	0.00648552i
$537$	1.23806	+	4.62049i	0.0534261	+	0.199389i
$538$	−31.1868			−1.34456
$539$	11.4966	+	42.9060i	0.495195	+	1.84809i
$540$	−1.26343	+	11.8981i	−0.0543693	+	0.512011i
$541$	2.64016	−	2.64016i	0.113509	−	0.113509i	−0.648071	−	0.761580i	$-0.724424\pi$
$541$	2.64016	−	2.64016i	0.113509	−	0.113509i	0.761580	+	0.648071i	$0.224424\pi$
$542$	6.34609	−	1.70043i	0.272588	−	0.0730397i
$543$	−0.930052	+	3.47100i	−0.0399124	+	0.148955i
$544$	−0.0601456	+	0.224466i	−0.00257872	+	0.00962391i
$545$	0.316297	+	0.712468i	0.0135487	+	0.0305188i
$546$	−8.95115	+	18.8176i	−0.383074	+	0.805321i
$547$	−30.9281	−	30.9281i	−1.32239	−	1.32239i	−0.911836	−	0.410555i	$-0.865335\pi$
$547$	−30.9281	−	30.9281i	−1.32239	−	1.32239i	−0.410555	−	0.911836i	$-0.634665\pi$
$548$	8.01741	+	13.8866i	0.342487	+	0.593204i
$549$	−12.5331	+	7.23601i	−0.534902	+	0.308826i
$550$	10.4790	+	5.36761i	0.446824	+	0.228876i
$551$	−12.7571	−	12.7571i	−0.543472	−	0.543472i
$552$	−2.56484	−	1.48081i	−0.109167	−	0.0630276i
$553$	−22.7893	−	13.1574i	−0.969102	−	0.559511i
$554$	18.0806	+	18.0806i	0.768173	+	0.768173i
$555$	12.5905	+	1.33696i	0.534437	+	0.0567507i
$556$	−10.2104	+	5.89499i	−0.433018	+	0.250003i
$557$	1.38025	+	2.39066i	0.0584829	+	0.101295i	0.893785	−	0.448497i	$-0.148040\pi$
$557$	1.38025	+	2.39066i	0.0584829	+	0.101295i	−0.835302	+	0.549792i	$0.814707\pi$
$558$	7.61539	+	7.61539i	0.322385	+	0.322385i
$559$	6.21344	−	0.495618i	0.262800	−	0.0209624i
$560$	4.08669	−	10.6122i	0.172694	−	0.448447i
$561$	−0.160948	+	0.600666i	−0.00679523	+	0.0253602i
$562$	6.30804	−	23.5419i	0.266089	−	0.993057i
$563$	−5.46577	+	1.46455i	−0.230355	+	0.0617234i	−0.372150	−	0.928173i	$-0.621379\pi$
$563$	−5.46577	+	1.46455i	−0.230355	+	0.0617234i	0.141795	+	0.989896i	$0.454713\pi$
$564$	9.81040	−	9.81040i	0.413093	−	0.413093i
$565$	41.6228	+	4.41983i	1.75108	+	0.185944i
$566$	6.77672	+	25.2911i	0.284847	+	1.06306i
$567$	4.85798			0.204016
$568$	−1.11860	−	4.17468i	−0.0469355	−	0.175166i
$569$	6.99993	+	12.1242i	0.293452	+	0.508274i	0.974624	−	0.223850i	$-0.0718625\pi$
$569$	6.99993	+	12.1242i	0.293452	+	0.508274i	−0.681171	+	0.732124i	$0.738529\pi$
$570$	14.8561	−	2.33666i	0.622252	−	0.0978718i
$571$			11.0403i			0.462021i	0.972951	+	0.231010i	$0.0742031\pi$
$571$			11.0403i			0.462021i	−0.972951	+	0.231010i	$0.925797\pi$
$572$	−6.99185	+	4.81626i	−0.292344	+	0.201378i
$573$	−0.317145	+	0.317145i	−0.0132489	+	0.0132489i
$574$	−7.82319	−	2.09622i	−0.326534	−	0.0874944i
$575$	−10.9435	+	7.07348i	−0.456374	+	0.294984i
$576$	1.47964	+	0.854273i	0.0616519	+	0.0355947i
$577$			28.6694i			1.19352i	0.802419	+	0.596761i	$0.203546\pi$
$577$			28.6694i			1.19352i	−0.802419	+	0.596761i	$0.796454\pi$
$578$	8.47300	−	14.6757i	0.352430	−	0.610427i
$579$	−5.02394	+	1.34616i	−0.208788	+	0.0559445i
$580$	6.36121	+	2.44966i	0.264135	+	0.101717i
$581$	26.6026	−	46.0771i	1.10366	−	1.91160i
$582$	−8.90145	−	2.38514i	−0.368977	−	0.0988670i
$583$	−16.7262	+	9.65689i	−0.692730	+	0.399948i
$584$	7.51162			0.310833
$585$	−12.1056	+	6.57256i	−0.500504	+	0.271742i
$586$	30.3881			1.25532
$587$	34.7495	−	20.0627i	1.43427	−	0.828074i	0.436824	−	0.899547i	$-0.356103\pi$
$587$	34.7495	−	20.0627i	1.43427	−	0.828074i	0.997443	+	0.0714723i	$0.0227698\pi$
$588$	−20.7069	−	5.54840i	−0.853938	−	0.228812i
$589$	18.6525	−	32.3071i	0.768562	−	1.33119i
$590$	2.52632	+	5.69061i	0.104007	+	0.234279i
$591$	−14.4987	+	3.88492i	−0.596398	+	0.159804i
$592$	2.49129	−	4.31504i	0.102391	−	0.177347i
$593$		−	28.6273i		−	1.17558i	−0.809012	−	0.587792i	$-0.799998\pi$
$593$		−	28.6273i		−	1.17558i	0.809012	−	0.587792i	$-0.200002\pi$
$594$	10.9119	+	6.29998i	0.447720	+	0.258491i
$595$	1.55560	−	2.13628i	0.0637734	−	0.0875791i
$596$	6.09326	+	1.63268i	0.249590	+	0.0668774i
$597$	0.377843	−	0.377843i	0.0154641	−	0.0154641i
$598$	−0.747137	−	9.36667i	−0.0305527	−	0.383031i
$599$		−	2.21276i		−	0.0904109i	−0.998978	−	0.0452055i	$-0.985606\pi$
$599$		−	2.21276i		−	0.0904109i	0.998978	−	0.0452055i	$-0.0143942\pi$
$600$	−4.77204	+	3.08448i	−0.194818	+	0.125923i
$601$	13.5904	+	23.5392i	0.554362	+	0.960184i	0.997953	+	0.0639541i	$0.0203711\pi$
$601$	13.5904	+	23.5392i	0.554362	+	0.960184i	−0.443591	+	0.896230i	$0.646296\pi$
$602$	2.27552	+	8.49236i	0.0927433	+	0.346123i
$603$	−0.296226			−0.0120633
$604$	3.05669	+	11.4077i	0.124375	+	0.464173i
$605$	−9.48801	+	7.66642i	−0.385743	+	0.311684i
$606$	1.58498	−	1.58498i	0.0643852	−	0.0643852i
$607$	1.41250	−	0.378479i	0.0573316	−	0.0153620i	−0.230039	−	0.973181i	$-0.573885\pi$
$607$	1.41250	−	0.378479i	0.0573316	−	0.0153620i	0.287371	+	0.957819i	$0.407219\pi$
$608$	1.53173	−	5.71650i	0.0621199	−	0.231835i
$609$	4.56000	−	17.0182i	0.184781	−	0.689610i
$610$	−17.6750	−	6.80655i	−0.715642	−	0.275589i
$611$	43.2898	+	7.97596i	1.75132	+	0.322673i
$612$	0.280750	+	0.280750i	0.0113486	+	0.0113486i
$613$	−17.1604	−	29.7226i	−0.693101	−	1.20049i	−0.970817	−	0.239823i	$-0.922911\pi$
$613$	−17.1604	−	29.7226i	−0.693101	−	1.20049i	0.277715	−	0.960663i	$-0.410423\pi$
$614$	−20.8187	+	12.0197i	−0.840174	+	0.485075i
$615$	2.54339	+	3.14772i	0.102560	+	0.126928i
$616$	−8.46788	−	8.46788i	−0.341181	−	0.341181i
$617$	−1.72816	−	0.997753i	−0.0695730	−	0.0401680i	0.464810	−	0.885410i	$-0.346123\pi$
$617$	−1.72816	−	0.997753i	−0.0695730	−	0.0401680i	−0.534383	+	0.845242i	$0.679456\pi$
$618$	4.11807	+	2.37757i	0.165653	+	0.0956399i
$619$	−28.8424	−	28.8424i	−1.15927	−	1.15927i	−0.984632	−	0.174640i	$-0.944124\pi$
$619$	−28.8424	−	28.8424i	−1.15927	−	1.15927i	−0.174640	−	0.984632i	$-0.555876\pi$
$620$	−1.48835	+	14.0162i	−0.0597735	+	0.562905i
$621$	−12.0767	+	6.97247i	−0.484620	+	0.279796i
$622$	−13.9754	−	24.2061i	−0.560363	−	0.970577i
$623$	20.8156	+	20.8156i	0.833959	+	0.833959i
$624$	−0.325798	−	4.08445i	−0.0130424	−	0.163509i
$625$	2.50663	+	24.8740i	0.100265	+	0.994961i
$626$	−1.96363	+	7.32837i	−0.0784824	+	0.292900i
$627$	4.09887	−	15.2972i	0.163693	−	0.610911i
$628$	5.79240	−	1.55207i	0.231142	−	0.0619343i
$629$	0.818740	−	0.818740i	0.0326453	−	0.0326453i
$630$	−12.2111	−	15.1126i	−0.486503	−	0.602099i
$631$	7.72824	+	28.8422i	0.307656	+	1.14819i	0.930634	+	0.365950i	$0.119256\pi$
$631$	7.72824	+	28.8422i	0.307656	+	1.14819i	−0.622978	+	0.782239i	$0.714077\pi$
$632$	5.17433			0.205824
$633$	−0.117024	−	0.436738i	−0.00465127	−	0.0173588i
$634$	−12.2484	−	21.2148i	−0.486444	−	0.842546i
$635$	15.3352	−	21.0595i	0.608557	−	0.835723i
$636$		−	9.32104i		−	0.369603i
$637$	−22.7716	−	64.0896i	−0.902243	−	2.53932i
$638$	5.07586	−	5.07586i	0.200955	−	0.200955i
$639$	−7.13263	−	1.91118i	−0.282162	−	0.0756052i
$640$	0.347432	+	2.20891i	0.0137334	+	0.0873149i
$641$	0.353413	+	0.204043i	0.0139590	+	0.00805921i	0.506963	−	0.861968i	$-0.330768\pi$
$641$	0.353413	+	0.204043i	0.0139590	+	0.00805921i	−0.493004	+	0.870027i	$0.664101\pi$
$642$		−	3.07282i		−	0.121275i
$643$	−1.28395	+	2.22387i	−0.0506341	+	0.0877008i	−0.890232	−	0.455508i	$-0.849458\pi$
$643$	−1.28395	+	2.22387i	−0.0506341	+	0.0877008i	0.839597	+	0.543209i	$0.182791\pi$
$644$	12.8021	−	3.43031i	0.504474	−	0.135173i
$645$	1.57871	−	4.09954i	0.0621615	−	0.161419i
$646$	0.687644	−	1.19103i	0.0270550	−	0.0468606i
$647$	35.3488	+	9.47168i	1.38970	+	0.372370i	0.874636	−	0.484780i	$-0.161100\pi$
$647$	35.3488	+	9.47168i	1.38970	+	0.372370i	0.515068	+	0.857150i	$0.327767\pi$
$648$	−0.827255	+	0.477616i	−0.0324976	+	0.0187625i
$649$	6.55661			0.257369
$650$	−16.6480	−	6.91700i	−0.652987	−	0.271307i
$651$	36.4307			1.42783
$652$	0.582869	−	0.336520i	0.0228269	−	0.0131791i
$653$	26.8405	+	7.19190i	1.05035	+	0.281441i	0.742397	−	0.669960i	$-0.233689\pi$
$653$	26.8405	+	7.19190i	1.05035	+	0.281441i	0.307954	+	0.951401i	$0.400356\pi$
$654$	−0.198085	+	0.343094i	−0.00774576	+	0.0134160i
$655$	0.0266036	−	0.0690835i	0.00103949	−	0.00269932i
$656$	1.53828	−	0.412182i	0.0600599	−	0.0160930i
$657$	6.41698	−	11.1145i	0.250350	−	0.433619i
$658$			62.0883i			2.42045i
$659$	−11.3839	−	6.57250i	−0.443454	−	0.256028i	0.261608	−	0.965174i	$-0.415747\pi$
$659$	−11.3839	−	6.57250i	−0.443454	−	0.256028i	−0.705062	+	0.709146i	$0.749081\pi$
$660$	0.929718	+	5.91099i	0.0361892	+	0.230085i
$661$	41.3000	+	11.0663i	1.60639	+	0.430430i	0.946963	−	0.321343i	$-0.104134\pi$
$661$	41.3000	+	11.0663i	1.60639	+	0.430430i	0.659423	+	0.751772i	$0.270801\pi$
$662$	11.3051	−	11.3051i	0.439384	−	0.439384i
$663$	0.172531	−	0.936417i	0.00670055	−	0.0363674i
$664$			10.4618i			0.405997i
$665$	−39.6166	+	54.4048i	−1.53626	+	2.10973i
$666$	−4.25648	−	7.37244i	−0.164935	−	0.285676i
$667$	2.05622	+	7.67390i	0.0796170	+	0.297135i
$668$	−15.5192			−0.600454
$669$	−3.04126	−	11.3501i	−0.117582	−	0.438821i
$670$	−0.243657	−	0.301551i	−0.00941327	−	0.0116499i
$671$	−14.1036	+	14.1036i	−0.544464	+	0.544464i
$672$	5.58252	−	1.49583i	0.215350	−	0.0577030i
$673$	5.92983	−	22.1304i	0.228578	−	0.853066i	−0.752361	−	0.658751i	$-0.771085\pi$
$673$	5.92983	−	22.1304i	0.228578	−	0.853066i	0.980939	−	0.194315i	$-0.0622483\pi$
$674$	4.67488	−	17.4469i	0.180070	−	0.672030i
$675$	1.34296	+	26.7207i	0.0516907	+	1.02848i
$676$	10.0856	−	8.20251i	0.387907	−	0.315481i
$677$	15.8337	+	15.8337i	0.608539	+	0.608539i	0.942564	−	0.334025i	$-0.108407\pi$
$677$	15.8337	+	15.8337i	0.608539	+	0.608539i	−0.334025	+	0.942564i	$0.608407\pi$
$678$	10.6363	+	18.4226i	0.408485	+	0.707516i
$679$	35.7154	−	20.6203i	1.37063	−	0.791334i
$680$	−0.0548696	+	0.516723i	−0.00210415	+	0.0198154i
$681$	−13.8057	−	13.8057i	−0.529035	−	0.529035i
$682$	12.8545	+	7.42153i	0.492223	+	0.284185i
$683$	−17.8106	−	10.2830i	−0.681504	−	0.393466i	0.118918	−	0.992904i	$-0.462058\pi$
$683$	−17.8106	−	10.2830i	−0.681504	−	0.393466i	−0.800421	+	0.599438i	$0.795391\pi$
$684$	−7.14987	−	7.14987i	−0.273382	−	0.273382i
$685$	22.5344	+	27.8887i	0.860994	+	1.06557i
$686$	52.2524	−	30.1679i	1.99501	−	1.15182i
$687$	11.8772	+	20.5720i	0.453145	+	0.784870i
$688$	−1.22243	−	1.22243i	−0.0466045	−	0.0466045i
$689$	24.3542	−	16.7761i	0.927822	−	0.639120i
$690$	−6.17999	−	2.37988i	−0.235268	−	0.0906004i
$691$	−7.00266	+	26.1343i	−0.266394	+	0.994194i	0.694998	+	0.719011i	$0.255405\pi$
$691$	−7.00266	+	26.1343i	−0.266394	+	0.994194i	−0.961392	+	0.275183i	$0.911262\pi$
$692$	1.79190	−	6.68747i	0.0681179	−	0.254220i
$693$	−19.7633	+	5.29557i	−0.750747	+	0.201162i
$694$	−11.2478	+	11.2478i	−0.426962	+	0.426962i
$695$	−20.5058	+	16.5689i	−0.777830	+	0.628495i
$696$	0.896639	+	3.34630i	0.0339870	+	0.126841i
$697$	0.370084			0.0140179
$698$	−2.14632	−	8.01016i	−0.0812393	−	0.303189i
$699$	−3.78080	−	6.54853i	−0.143003	−	0.247688i
$700$	5.34013	−	24.8612i	0.201838	−	0.939666i
$701$		−	41.0167i		−	1.54918i	−0.632464	−	0.774590i	$-0.717956\pi$
$701$		−	41.0167i		−	1.54918i	0.632464	−	0.774590i	$-0.282044\pi$
$702$	−17.4223	−	8.28740i	−0.657561	−	0.312788i
$703$	−20.8509	+	20.8509i	−0.786407	+	0.786407i
$704$	2.27450	+	0.609451i	0.0857235	+	0.0229696i
$705$	18.2619	−	25.0788i	0.687782	−	0.944521i
$706$	8.88377	+	5.12905i	0.334345	+	0.193034i
$707$			10.0310i			0.377256i
$708$	−1.58214	+	2.74035i	−0.0594606	+	0.102989i
$709$	−30.8553	+	8.26765i	−1.15880	+	0.310498i	−0.786485	−	0.617610i	$-0.788101\pi$
$709$	−30.8553	+	8.26765i	−1.15880	+	0.310498i	−0.372311	+	0.928108i	$0.621434\pi$
$710$	−3.92131	−	8.83285i	−0.147164	−	0.331491i
$711$	4.42029	−	7.65617i	0.165774	−	0.287129i
$712$	−5.59114	−	1.49814i	−0.209537	−	0.0561452i
$713$	−14.2266	+	8.21375i	−0.532791	+	0.307607i
$714$	1.34306			0.0502626
$715$	−13.7711	+	13.0679i	−0.515009	+	0.488711i
$716$	4.20925			0.157307
$717$	−17.7887	+	10.2703i	−0.664332	+	0.383552i
$718$	−2.83997	−	0.760968i	−0.105987	−	0.0283991i
$719$	17.9081	−	31.0177i	0.667859	−	1.15677i	−0.310642	−	0.950527i	$-0.600544\pi$
$719$	17.9081	−	31.0177i	0.667859	−	1.15677i	0.978502	−	0.206240i	$-0.0661226\pi$
$720$	3.56521	+	1.37294i	0.132867	+	0.0511664i
$721$	−20.5549	+	5.50766i	−0.765503	+	0.205116i
$722$	−8.01226	+	13.8776i	−0.298186	+	0.516473i
$723$		−	19.2644i		−	0.716451i
$724$	2.73843	+	1.58104i	0.101773	+	0.0587587i
$725$	14.9024	+	3.20101i	0.553463	+	0.118882i
$726$	−5.98817	−	1.60453i	−0.222242	−	0.0595496i
$727$	3.64978	−	3.64978i	0.135363	−	0.135363i	−0.636179	−	0.771542i	$-0.719486\pi$
$727$	3.64978	−	3.64978i	0.135363	−	0.135363i	0.771542	+	0.636179i	$0.219486\pi$
$728$	13.9558	+	11.8939i	0.517238	+	0.440818i
$729$			19.8747i			0.736099i
$730$	16.5925	−	2.60977i	0.614116	−	0.0965921i
$731$	−0.200870	−	0.347917i	−0.00742944	−	0.0128682i
$732$	−2.49137	−	9.29792i	−0.0920837	−	0.343661i
$733$	−2.94558			−0.108798			−0.0543988	−	0.998519i	$-0.517324\pi$
$733$	−2.94558			−0.108798			−0.0543988	+	0.998519i	$0.517324\pi$
$734$	2.53421	+	9.45779i	0.0935393	+	0.349094i
$735$	−47.6674	−	5.06169i	−1.75824	−	0.186703i
$736$	−1.84279	+	1.84279i	−0.0679261	+	0.0679261i
$737$	−0.394351	+	0.105666i	−0.0145261	+	0.00389226i
$738$	0.704232	−	2.62823i	0.0259231	−	0.0967465i
$739$	−1.57881	+	5.89220i	−0.0580775	+	0.216748i	−0.988866	−	0.148811i	$-0.952455\pi$
$739$	−1.57881	+	5.89220i	−0.0580775	+	0.216748i	0.930788	+	0.365559i	$0.119122\pi$
$740$	4.00385	−	10.3971i	0.147185	−	0.382204i
$741$	−4.39386	+	23.8478i	−0.161412	+	0.876071i
$742$	29.4956	+	29.4956i	1.08282	+	1.08282i
$743$	−1.31069	−	2.27018i	−0.0480844	−	0.0832847i	0.840981	−	0.541064i	$-0.181978\pi$
$743$	−1.31069	−	2.27018i	−0.0480844	−	0.0832847i	−0.889066	+	0.457779i	$0.848645\pi$
$744$	−6.20370	+	3.58171i	−0.227439	+	0.131312i
$745$	14.0267	+	1.48947i	0.513900	+	0.0545698i
$746$	2.97375	+	2.97375i	0.108877	+	0.108877i
$747$	15.4798	+	8.93725i	0.566375	+	0.326997i
$748$	0.473893	+	0.273603i	0.0173273	+	0.0100039i
$749$	9.72368	+	9.72368i	0.355295	+	0.355295i
$750$	−9.46936	+	8.47130i	−0.345772	+	0.309328i
$751$	−17.8473	+	10.3041i	−0.651257	+	0.376003i	−0.788938	−	0.614473i	$-0.789369\pi$
$751$	−17.8473	+	10.3041i	−0.651257	+	0.376003i	0.137681	+	0.990477i	$0.456035\pi$
$752$	−6.10425	−	10.5729i	−0.222599	−	0.385553i
$753$	−11.3795	−	11.3795i	−0.414692	−	0.414692i
$754$	−7.12952	+	8.36548i	−0.259642	+	0.304653i
$755$	10.7153	+	24.1366i	0.389971	+	0.878422i
$756$	7.04319	−	26.2856i	0.256159	−	0.955997i
$757$	2.02916	−	7.57294i	0.0737511	−	0.275243i	−0.919196	−	0.393800i	$-0.871160\pi$
$757$	2.02916	−	7.57294i	0.0737511	−	0.275243i	0.992947	+	0.118557i	$0.0378269\pi$
$758$	30.0901	−	8.06262i	1.09292	−	0.292848i
$759$	−4.93126	+	4.93126i	−0.178993	+	0.178993i
$760$	1.39737	−	13.1594i	0.0506878	−	0.477342i
$761$	−12.6216	−	47.1045i	−0.457533	−	1.70754i	−0.680532	−	0.732718i	$-0.738251\pi$
$761$	−12.6216	−	47.1045i	−0.457533	−	1.70754i	0.222999	−	0.974819i	$-0.428415\pi$
$762$	13.2399			0.479631
$763$	−0.458867	−	1.71251i	−0.0166121	−	0.0619972i
$764$	0.197335	+	0.341794i	0.00713932	+	0.0123657i
$765$	0.717692	+	0.522610i	0.0259482	+	0.0188950i
$766$		−	3.68972i		−	0.133315i
$767$	−10.0076	+	0.798263i	−0.361354	+	0.0288236i
$768$	−0.803571	+	0.803571i	−0.0289964	+	0.0289964i
$769$	−40.0196	−	10.7232i	−1.44314	−	0.386690i	−0.549511	−	0.835486i	$-0.685186\pi$
$769$	−40.0196	−	10.7232i	−1.44314	−	0.386690i	−0.893634	+	0.448797i	$0.851853\pi$
$770$	−21.6468	−	15.7628i	−0.780097	−	0.568052i
$771$	7.25606	+	4.18929i	0.261321	+	0.150873i
$772$			4.57679i			0.164722i
$773$	−25.9828	+	45.0036i	−0.934538	+	1.61867i	−0.159081	+	0.987265i	$0.550853\pi$
$773$	−25.9828	+	45.0036i	−0.934538	+	1.61867i	−0.775456	+	0.631401i	$0.782480\pi$
$774$	−2.85304	+	0.764470i	−0.102550	+	0.0274783i
$775$	1.58204	+	31.4777i	0.0568287	+	1.13071i
$776$	−4.05459	+	7.02276i	−0.145551	+	0.252102i
$777$	−27.8153	−	7.45309i	−0.997869	−	0.267378i
$778$	−2.68849	+	1.55220i	−0.0963869	+	0.0556490i
$779$	−9.42495			−0.337684
$780$	−2.13873	−	8.90900i	−0.0765787	−	0.318993i
$781$	−10.1770			−0.364163
$782$	−0.524480	+	0.302808i	−0.0187554	+	0.0108284i
$783$	15.7562	+	4.22187i	0.563081	+	0.150877i
$784$	−9.43196	+	16.3366i	−0.336856	+	0.583451i
$785$	12.2557	−	5.44085i	0.437423	−	0.194192i
$786$	0.0363412	−	0.00973761i	0.00129625	−	0.000347329i
$787$	−13.2479	+	22.9460i	−0.472235	+	0.817935i	−0.999495	−	0.0317688i	$-0.989886\pi$
$787$	−13.2479	+	22.9460i	−0.472235	+	0.817935i	0.527260	+	0.849704i	$0.323219\pi$
$788$			13.2083i			0.470526i
$789$	7.35837	+	4.24836i	0.261965	+	0.151245i
$790$	11.4296	−	1.79773i	0.406648	−	0.0639602i
$791$	−91.9543	−	24.6391i	−3.26952	−	0.876065i
$792$	2.84482	−	2.84482i	0.101086	−	0.101086i
$793$	19.8098	−	23.2440i	0.703467	−	0.825420i
$794$			10.1142i			0.358938i
$795$	−3.23842	−	20.5893i	−0.114855	−	0.730229i
$796$	−0.235102	−	0.407209i	−0.00833298	−	0.0144331i
$797$	−2.15060	−	8.02616i	−0.0761782	−	0.284301i	0.917320	−	0.398152i	$-0.130348\pi$
$797$	−2.15060	−	8.02616i	−0.0761782	−	0.284301i	−0.993498	+	0.113850i	$0.963682\pi$
$798$	−34.2037			−1.21080
$799$	−0.734287	−	2.74040i	−0.0259772	−	0.0969483i
$800$	1.53489	+	4.75858i	0.0542666	+	0.168241i
$801$	−6.99307	+	6.99307i	−0.247088	+	0.247088i
$802$	16.3539	−	4.38202i	0.577477	−	0.154735i
$803$	4.57797	−	17.0852i	0.161553	−	0.602924i
$804$	0.0509955	−	0.190318i	0.00179847	−	0.00671200i
$805$	27.0869	−	12.0251i	0.954689	−	0.423830i
$806$	−20.5239	−	9.76276i	−0.722922	−	0.343879i
$807$	−25.0608	−	25.0608i	−0.882183	−	0.882183i
$808$	−0.986207	−	1.70816i	−0.0346946	−	0.0600929i
$809$	−7.12835	+	4.11555i	−0.250619	+	0.144695i	−0.620048	−	0.784564i	$-0.712887\pi$
$809$	−7.12835	+	4.11555i	−0.250619	+	0.144695i	0.369428	+	0.929259i	$0.379553\pi$
$810$	−1.66139	+	1.34243i	−0.0583754	+	0.0471680i
$811$	13.9335	+	13.9335i	0.489272	+	0.489272i	0.908077	−	0.418804i	$-0.137551\pi$
$811$	13.9335	+	13.9335i	0.489272	+	0.489272i	−0.418804	+	0.908077i	$0.637551\pi$
$812$	−13.4264	−	7.75174i	−0.471175	−	0.272033i
$813$	6.46595	+	3.73312i	0.226771	+	0.130926i
$814$	−8.29624	−	8.29624i	−0.290783	−	0.290783i
$815$	1.17059	−	0.945850i	0.0410040	−	0.0331317i
$816$	−0.228706	+	0.132043i	−0.00800631	+	0.00462245i
$817$	5.11557	+	8.86042i	0.178971	+	0.309987i
$818$	−25.5930	−	25.5930i	−0.894839	−	0.894839i
$819$	29.5209	−	10.4890i	1.03154	−	0.366516i
$820$	3.25473	−	1.44492i	0.113660	−	0.0504589i
$821$	−11.0724	+	41.3228i	−0.386430	+	1.44218i	0.449471	+	0.893295i	$0.351612\pi$
$821$	−11.0724	+	41.3228i	−0.386430	+	1.44218i	−0.835901	+	0.548881i	$0.815054\pi$
$822$	−4.71628	+	17.6014i	−0.164499	+	0.613919i
$823$	27.6043	−	7.39654i	0.962225	−	0.257827i	0.256683	−	0.966496i	$-0.417370\pi$
$823$	27.6043	−	7.39654i	0.962225	−	0.257827i	0.705542	+	0.708668i	$0.250704\pi$
$824$	2.95875	−	2.95875i	0.103073	−	0.103073i
$825$	4.10733	+	12.7339i	0.142999	+	0.443336i
$826$	−3.66505	−	13.6782i	−0.127523	−	0.475924i
$827$	24.2377			0.842826			0.421413	−	0.906869i	$-0.361534\pi$
$827$	24.2377			0.842826			0.421413	+	0.906869i	$0.361534\pi$
$828$	1.15243	+	4.30092i	0.0400496	+	0.149467i
$829$	10.9105	+	18.8976i	0.378938	+	0.656341i	0.990908	−	0.134541i	$-0.0429559\pi$
$829$	10.9105	+	18.8976i	0.378938	+	0.656341i	−0.611970	+	0.790881i	$0.709623\pi$
$830$	3.63477	+	23.1092i	0.126165	+	0.802133i
$831$			29.0582i			1.00802i
$832$	−3.54587	−	0.653311i	−0.122931	−	0.0226495i
$833$	−3.09973	+	3.09973i	−0.107399	+	0.107399i
$834$	−12.9418	−	3.46776i	−0.448139	−	0.120079i
$835$	−34.2805	+	5.39185i	−1.18632	+	0.186593i
$836$	−12.0687	−	6.96785i	−0.417404	−	0.240988i
$837$			33.7293i			1.16585i
$838$	−0.728326	+	1.26150i	−0.0251596	+	0.0435777i
$839$	−35.7716	+	9.58498i	−1.23497	+	0.330910i	−0.816514	−	0.577325i	$-0.804096\pi$
$839$	−35.7716	+	9.58498i	−1.23497	+	0.330910i	−0.418459	+	0.908236i	$0.637430\pi$
$840$	11.8116	−	5.24371i	0.407539	−	0.180925i
$841$	−9.85341	+	17.0666i	−0.339773	+	0.588504i
$842$	−26.8141	−	7.18481i	−0.924074	−	0.247605i
$843$	23.9866	−	13.8487i	0.826142	−	0.476973i
$844$	−0.397867			−0.0136951
$845$	19.4283	−	21.6227i	0.668355	−	0.743842i
$846$	−20.8588			−0.717140
$847$	24.0264	−	13.8717i	0.825557	−	0.476636i
$848$	−7.92262	−	2.12286i	−0.272064	−	0.0728993i
$849$	−14.8776	+	25.7688i	−0.510598	+	0.884382i
$850$	0.0583237	+	1.16046i	0.00200049	+	0.0398034i
$851$	12.5426	−	3.36078i	0.429955	−	0.115206i
$852$	2.45577	−	4.25353i	0.0841335	−	0.145723i
$853$			21.8632i			0.748583i	0.927311	+	0.374292i	$0.122114\pi$
$853$			21.8632i			0.748583i	−0.927311	+	0.374292i	$0.877886\pi$
$854$	37.3062	+	21.5387i	1.27659	+	0.737040i
$855$	−18.2775	−	13.3093i	−0.625078	−	0.455170i
$856$	−2.61181	−	0.699833i	−0.0892699	−	0.0239198i
$857$	−15.5995	+	15.5995i	−0.532869	+	0.532869i	−0.921425	−	0.388556i	$-0.872974\pi$
$857$	−15.5995	+	15.5995i	−0.532869	+	0.532869i	0.388556	+	0.921425i	$0.372974\pi$
$858$	−9.48866	−	1.74825i	−0.323937	−	0.0596841i
$859$		−	21.2777i		−	0.725984i	−0.931792	−	0.362992i	$-0.881755\pi$
$859$		−	21.2777i		−	0.725984i	0.931792	−	0.362992i	$-0.118245\pi$
$860$	−3.12494	−	2.27552i	−0.106560	−	0.0775946i
$861$	−4.60203	−	7.97095i	−0.156837	−	0.271649i
$862$	−3.81600	−	14.2415i	−0.129974	−	0.485068i
$863$	16.6932			0.568242			0.284121	−	0.958788i	$-0.408298\pi$
$863$	16.6932			0.568242			0.284121	+	0.958788i	$0.408298\pi$
$864$	1.38491	+	5.16857i	0.0471157	+	0.175838i
$865$	1.63472	−	15.3946i	0.0555820	−	0.523432i
$866$	12.3512	−	12.3512i	0.419710	−	0.419710i
$867$	18.6016	−	4.98428i	0.631744	−	0.169275i
$868$	8.29706	−	30.9650i	0.281620	−	1.05102i
$869$	3.15350	−	11.7690i	0.106975	−	0.399237i
$870$	3.14321	+	7.08017i	0.106565	+	0.240040i
$871$	0.589050	−	0.209294i	0.0199592	−	0.00709167i
$872$	0.246506	+	0.246506i	0.00834776	+	0.00834776i
$873$	6.92746	+	11.9987i	0.234459	+	0.406095i
$874$	13.3570	−	7.71164i	0.451806	−	0.260850i
$875$	3.15829	−	56.7716i	0.106770	−	1.91923i
$876$	6.03612	+	6.03612i	0.203942	+	0.203942i
$877$	−11.7428	−	6.77973i	−0.396528	−	0.228935i	0.288457	−	0.957493i	$-0.406858\pi$
$877$	−11.7428	−	6.77973i	−0.396528	−	0.228935i	−0.684985	+	0.728557i	$0.740191\pi$
$878$	28.0783	+	16.2110i	0.947595	+	0.547094i
$879$	24.4190	+	24.4190i	0.823633	+	0.823633i
$880$	5.23592	+	0.555990i	0.176503	+	0.0187424i
$881$	14.0524	−	8.11318i	0.473439	−	0.273340i	−0.244239	−	0.969715i	$-0.578538\pi$
$881$	14.0524	−	8.11318i	0.473439	−	0.273340i	0.717678	+	0.696375i	$0.245205\pi$
$882$	16.1149	+	27.9119i	0.542618	+	0.939843i
$883$	−18.4492	−	18.4492i	−0.620864	−	0.620864i	0.324889	−	0.945752i	$-0.394673\pi$
$883$	−18.4492	−	18.4492i	−0.620864	−	0.620864i	−0.945752	+	0.324889i	$0.894673\pi$
$884$	−0.756634	−	0.359915i	−0.0254484	−	0.0121052i
$885$	−2.54273	+	6.60289i	−0.0854730	+	0.221954i
$886$	−5.60355	+	20.9127i	−0.188255	+	0.702577i
$887$	−10.0397	+	37.4685i	−0.337099	+	1.25807i	0.564477	+	0.825449i	$0.309078\pi$
$887$	−10.0397	+	37.4685i	−0.337099	+	1.25807i	−0.901576	+	0.432622i	$0.857589\pi$
$888$	5.46937	−	1.46551i	0.183540	−	0.0491794i
$889$	−41.8964	+	41.8964i	−1.40516	+	1.40516i
$890$	−12.8708	−	1.36672i	−0.431431	−	0.0458127i
$891$	0.582167	+	2.17268i	0.0195033	+	0.0727874i
$892$	−10.3399			−0.346206
$893$	18.7001	+	69.7899i	0.625776	+	2.33543i
$894$	3.58439	+	6.20835i	0.119880	+	0.207638i
$895$	9.29787	−	1.46243i	0.310794	−	0.0488836i
$896$		−	5.08566i		−	0.169900i
$897$	6.92641	−	8.12716i	0.231266	−	0.271358i
$898$	22.4612	−	22.4612i	0.749539	−	0.749539i
$899$	18.5612	+	4.97346i	0.619051	+	0.165874i
$900$	8.35223	+	1.79404i	0.278408	+	0.0598012i
$901$	−1.65068	−	0.953020i	−0.0549921	−	0.0317497i
$902$		−	3.75004i		−	0.124863i
$903$	−4.99567	+	8.65276i	−0.166246	+	0.287946i
$904$	18.0811	−	4.84482i	0.601369	−	0.161136i
$905$	6.59826	+	2.54095i	0.219334	+	0.0844640i
$906$	−6.71064	+	11.6232i	−0.222946	+	0.386154i
$907$	7.70134	+	2.06357i	0.255719	+	0.0685197i	0.384401	−	0.923166i	$-0.374408\pi$
$907$	7.70134	+	2.06357i	0.255719	+	0.0685197i	−0.128682	+	0.991686i	$0.541075\pi$
$908$	−14.8787	+	8.59020i	−0.493766	+	0.285076i
$909$	−3.36996			−0.111775
$910$	34.9596	+	21.4239i	1.15890	+	0.710196i
$911$	−36.3635			−1.20478			−0.602388	−	0.798203i	$-0.705784\pi$
$911$	−36.3635			−1.20478			−0.602388	+	0.798203i	$0.705784\pi$
$912$	5.82447	−	3.36276i	0.192867	−	0.111352i
$913$	23.7954	+	6.37597i	0.787514	+	0.211014i
$914$	17.8548	−	30.9254i	0.590583	−	1.02292i
$915$	−8.73361	−	19.6727i	−0.288724	−	0.650360i
$916$	20.1906	−	5.41006i	0.667117	−	0.178753i
$917$	−0.0841848	+	0.145812i	−0.00278003	+	0.00481515i
$918$			1.24347i			0.0410405i
$919$	−12.4520	−	7.18916i	−0.410753	−	0.237149i	0.280360	−	0.959895i	$-0.409546\pi$
$919$	−12.4520	−	7.18916i	−0.410753	−	0.237149i	−0.691113	+	0.722746i	$0.742879\pi$
$920$	−3.43031	+	4.71080i	−0.113094	+	0.155311i
$921$	−26.3880	−	7.07063i	−0.869513	−	0.232985i
$922$	−12.1191	+	12.1191i	−0.399120	+	0.399120i
$923$	15.5336	−	1.23905i	0.511296	−	0.0407838i
$924$		−	13.6091i		−	0.447706i
$925$	5.23188	−	24.3573i	0.172023	−	0.800863i
$926$	11.5579	+	20.0189i	0.379816	+	0.657861i
$927$	−1.85032	−	6.90549i	−0.0607725	−	0.226806i
$928$	3.04847			0.100071
$929$	−0.680463	−	2.53952i	−0.0223253	−	0.0833191i	0.953864	−	0.300238i	$-0.0970660\pi$
$929$	−0.680463	−	2.53952i	−0.0223253	−	0.0833191i	−0.976190	+	0.216919i	$0.930399\pi$
$930$	−12.4590	+	10.0670i	−0.408548	+	0.330111i
$931$	78.9411	−	78.9411i	2.58719	−	2.58719i
$932$	−6.42714	+	1.72215i	−0.210528	+	0.0564108i
$933$	8.22110	−	30.6816i	0.269147	−	1.00447i
$934$	6.92528	−	25.8455i	0.226602	−	0.845691i
$935$	1.14185	+	0.439718i	0.0373424	+	0.0143803i
$936$	−3.99581	+	4.68852i	−0.130607	+	0.153249i
$937$	12.8668	+	12.8668i	0.420339	+	0.420339i	0.885321	−	0.464981i	$-0.153939\pi$
$937$	12.8668	+	12.8668i	0.420339	+	0.420339i	−0.464981	+	0.885321i	$0.653939\pi$
$938$	0.440873	+	0.763615i	0.0143950	+	0.0249329i
$939$	−7.46678	+	4.31095i	−0.243669	+	0.140682i
$940$	−17.1571	−	21.2337i	−0.559603	−	0.692568i
$941$	21.9024	+	21.9024i	0.713999	+	0.713999i	0.967369	−	0.253370i	$-0.0815391\pi$
$941$	21.9024	+	21.9024i	0.713999	+	0.713999i	−0.253370	+	0.967369i	$0.581539\pi$
$942$	5.90180	+	3.40741i	0.192291	+	0.111019i
$943$	3.59430	+	2.07517i	0.117046	+	0.0675768i
$944$	1.96889	+	1.96889i	0.0640819	+	0.0640819i
$945$	6.42536	−	60.5095i	0.209017	−	1.96837i
$946$	−3.52542	+	2.03540i	−0.114621	+	0.0661766i
$947$	−16.1289	−	27.9360i	−0.524118	−	0.907799i	−0.999606	−	0.0280763i	$-0.991062\pi$
$947$	−16.1289	−	27.9360i	−0.524118	−	0.907799i	0.475488	−	0.879722i	$-0.342271\pi$
$948$	4.15794	+	4.15794i	0.135044	+	0.135044i
$949$	−4.90743	+	26.6352i	−0.159302	+	0.864616i
$950$	−1.48533	−	29.5535i	−0.0481906	−	0.958841i
$951$	7.20515	−	26.8900i	0.233643	−	0.871968i
$952$	0.305880	−	1.14156i	0.00991362	−	0.0369981i
$953$	30.1172	−	8.06987i	0.975591	−	0.261409i	0.264404	−	0.964412i	$-0.414825\pi$
$953$	30.1172	−	8.06987i	0.975591	−	0.261409i	0.711187	+	0.703003i	$0.248158\pi$
$954$	−9.90915	+	9.90915i	−0.320821	+	0.320821i
$955$	0.554645	+	0.686432i	0.0179479	+	0.0222124i
$956$	4.67812	+	17.4590i	0.151301	+	0.564663i
$957$	8.15763			0.263699
$958$	−9.04171	−	33.7441i	−0.292124	−	1.09022i
$959$	−40.7738	−	70.6223i	−1.31665	−	2.28051i
$960$	−1.49583	+	2.05420i	−0.0482778	+	0.0662992i
$961$			8.73391i			0.281739i
$962$	13.6730	+	11.6528i	0.440834	+	0.375703i
$963$	−3.26671	+	3.26671i	−0.105268	+	0.105268i
$964$	−16.3742	−	4.38745i	−0.527377	−	0.141310i
$965$	1.59012	+	10.1097i	0.0511878	+	0.325443i
$966$	13.0439	+	7.53091i	0.419681	+	0.242303i
$967$			6.28448i			0.202095i	0.994882	+	0.101048i	$0.0322194\pi$
$967$			6.28448i			0.202095i	−0.994882	+	0.101048i	$0.967781\pi$
$968$	−2.72760	+	4.72435i	−0.0876685	+	0.151846i
$969$	1.50965	−	0.404510i	0.0484970	−	0.0129947i
$970$	−6.51631	+	16.9214i	−0.209226	+	0.543312i
$971$	−13.6340	+	23.6148i	−0.437537	+	0.757836i	−0.997499	−	0.0706819i	$-0.977482\pi$
$971$	−13.6340	+	23.6148i	−0.437537	+	0.757836i	0.559962	+	0.828518i	$0.310816\pi$
$972$	14.4571	+	3.87378i	0.463713	+	0.124252i
$973$	51.9267	−	29.9799i	1.66469	−	0.961111i
$974$	−21.6820			−0.694737
$975$	−7.81953	−	18.9361i	−0.250425	−	0.606442i
$976$	−8.47038			−0.271130
$977$	−20.4365	+	11.7990i	−0.653821	+	0.377484i	−0.789919	−	0.613211i	$-0.789877\pi$
$977$	−20.4365	+	11.7990i	−0.653821	+	0.377484i	0.136097	+	0.990695i	$0.456544\pi$
$978$	0.738795	+	0.197959i	0.0236241	+	0.00633005i
$979$	−6.81505	+	11.8040i	−0.217810	+	0.377258i
$980$	−15.1585	+	39.3632i	−0.484221	+	1.25741i
$981$	0.575326	−	0.154158i	0.0183687	−	0.00492189i
$982$	0.420164	−	0.727746i	0.0134080	−	0.0232233i
$983$		−	45.4733i		−	1.45037i	−0.688553	−	0.725186i	$-0.741754\pi$
$983$		−	45.4733i		−	1.45037i	0.688553	−	0.725186i	$-0.258246\pi$
$984$	1.56734	+	0.904903i	0.0499649	+	0.0288473i
$985$	4.58898	+	29.1759i	0.146217	+	0.929623i
$986$	0.684279	+	0.183352i	0.0217919	+	0.00583912i
$987$	−49.8924	+	49.8924i	−1.58809	+	1.58809i
$988$	19.2692	+	9.16597i	0.613036	+	0.291608i
$989$		−	4.50535i		−	0.143262i
$990$	5.29557	−	7.27233i	0.168304	−	0.231130i
$991$	−12.1692	−	21.0777i	−0.386568	−	0.669555i	0.605418	−	0.795908i	$-0.293006\pi$
$991$	−12.1692	−	21.0777i	−0.386568	−	0.669555i	−0.991985	+	0.126353i	$0.959673\pi$
$992$	1.63146	+	6.08870i	0.0517990	+	0.193316i
$993$	18.1689			0.576572
$994$	5.68882	+	21.2310i	0.180439	+	0.673406i
$995$	−0.660797	−	0.817807i	−0.0209487	−	0.0259262i
$996$	−8.40682	+	8.40682i	−0.266380	+	0.266380i
$997$	30.4173	−	8.15028i	0.963324	−	0.258122i	0.257317	−	0.966327i	$-0.417161\pi$
$997$	30.4173	−	8.15028i	0.963324	−	0.258122i	0.706007	+	0.708205i	$0.250495\pi$
$998$	−2.43819	+	9.09946i	−0.0771797	+	0.288038i
$999$	6.90043	−	25.7528i	0.218320	−	0.814781i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.a.37.3	✓	12
5.2	odd	4		650.2.w.e.193.3		12
5.3	odd	4		130.2.s.a.63.1	yes	12
5.4	even	2		650.2.t.e.557.1		12
13.6	odd	12		130.2.s.a.97.1	yes	12
65.19	odd	12		650.2.w.e.357.3		12
65.32	even	12		650.2.t.e.643.1		12
65.58	even	12	inner	130.2.p.a.123.3	yes	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.a.37.3	✓	12	1.1	even	1	trivial
130.2.p.a.123.3	yes	12	65.58	even	12	inner
130.2.s.a.63.1	yes	12	5.3	odd	4
130.2.s.a.97.1	yes	12	13.6	odd	12
650.2.t.e.557.1		12	5.4	even	2
650.2.t.e.643.1		12	65.32	even	12
650.2.w.e.193.3		12	5.2	odd	4
650.2.w.e.357.3		12	65.19	odd	12

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:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.p (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.866025 - 0.500000i) q^{2} +(1.09770 + 0.294128i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.803571 - 2.08669i) q^{5} +(1.09770 - 0.294128i) q^{6} +(-2.54283 + 4.40431i) q^{7} -1.00000i q^{8} +(-1.47964 - 0.854273i) q^{9} +O(q^{10})\)	\(q+(0.866025 - 0.500000i) q^{2} +(1.09770 + 0.294128i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.803571 - 2.08669i) q^{5} +(1.09770 - 0.294128i) q^{6} +(-2.54283 + 4.40431i) q^{7} -1.00000i q^{8} +(-1.47964 - 0.854273i) q^{9} +(-0.347432 - 2.20891i) q^{10} +(-2.27450 - 0.609451i) q^{11} +(0.803571 - 0.803571i) q^{12} +(3.54587 + 0.653311i) q^{13} +5.08566i q^{14} +(1.49583 - 2.05420i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.0601456 - 0.224466i) q^{17} -1.70855 q^{18} +(1.53173 + 5.71650i) q^{19} +(-1.40534 - 1.73926i) q^{20} +(-4.08669 + 4.08669i) q^{21} +(-2.27450 + 0.609451i) q^{22} +(0.674508 - 2.51730i) q^{23} +(0.294128 - 1.09770i) q^{24} +(-3.70855 - 3.35361i) q^{25} +(3.39747 - 1.20715i) q^{26} +(-3.78365 - 3.78365i) q^{27} +(2.54283 + 4.40431i) q^{28} +(-2.64005 + 1.52424i) q^{29} +(0.268327 - 2.52691i) q^{30} +(-4.45724 - 4.45724i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-2.31746 - 1.33799i) q^{33} +(-0.164321 - 0.164321i) q^{34} +(7.14708 + 8.84527i) q^{35} +(-1.47964 + 0.854273i) q^{36} +(2.49129 + 4.31504i) q^{37} +(4.18477 + 4.18477i) q^{38} +(3.70014 + 1.76008i) q^{39} +(-2.08669 - 0.803571i) q^{40} +(-0.412182 + 1.53828i) q^{41} +(-1.49583 + 5.58252i) q^{42} +(1.66986 - 0.447439i) q^{43} +(-1.66505 + 1.66505i) q^{44} +(-2.97160 + 2.40109i) q^{45} +(-0.674508 - 2.51730i) q^{46} +12.2085 q^{47} +(-0.294128 - 1.09770i) q^{48} +(-9.43196 - 16.3366i) q^{49} +(-4.88850 - 1.05004i) q^{50} -0.264087i q^{51} +(2.33872 - 2.74416i) q^{52} +(5.79976 - 5.79976i) q^{53} +(-5.16857 - 1.38491i) q^{54} +(-3.09946 + 4.25644i) q^{55} +(4.40431 + 2.54283i) q^{56} +6.72552i q^{57} +(-1.52424 + 2.64005i) q^{58} +(-2.68956 + 0.720664i) q^{59} +(-1.03108 - 2.32253i) q^{60} +(4.23519 - 7.33556i) q^{61} +(-6.08870 - 1.63146i) q^{62} +(7.52497 - 4.34454i) q^{63} -1.00000 q^{64} +(4.21262 - 6.87414i) q^{65} -2.67598 q^{66} +(0.150151 - 0.0866895i) q^{67} +(-0.224466 - 0.0601456i) q^{68} +(1.48081 - 2.56484i) q^{69} +(10.6122 + 4.08669i) q^{70} +(4.17468 - 1.11860i) q^{71} +(-0.854273 + 1.47964i) q^{72} +7.51162i q^{73} +(4.31504 + 2.49129i) q^{74} +(-3.08448 - 4.77204i) q^{75} +(5.71650 + 1.53173i) q^{76} +(8.46788 - 8.46788i) q^{77} +(4.08445 - 0.325798i) q^{78} +5.17433i q^{79} +(-2.20891 + 0.347432i) q^{80} +(-0.477616 - 0.827255i) q^{81} +(0.412182 + 1.53828i) q^{82} -10.4618 q^{83} +(1.49583 + 5.58252i) q^{84} +(-0.516723 - 0.0548696i) q^{85} +(1.22243 - 1.22243i) q^{86} +(-3.34630 + 0.896639i) q^{87} +(-0.609451 + 2.27450i) q^{88} +(1.49814 - 5.59114i) q^{89} +(-1.37294 + 3.56521i) q^{90} +(-11.8939 + 13.9558i) q^{91} +(-1.84279 - 1.84279i) q^{92} +(-3.58171 - 6.20370i) q^{93} +(10.5729 - 6.10425i) q^{94} +(13.1594 + 1.39737i) q^{95} +(-0.803571 - 0.803571i) q^{96} +(-7.02276 - 4.05459i) q^{97} +(-16.3366 - 9.43196i) q^{98} +(2.84482 + 2.84482i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{4} - 24 q^{9}+O(q^{10}) \) 12 * q + 6 * q^4 - 24 * q^9	\( 12 q + 6 q^{4} - 24 q^{9} + 6 q^{11} - 12 q^{13} - 6 q^{15} - 6 q^{16} + 12 q^{17} + 12 q^{18} + 36 q^{19} - 6 q^{20} - 24 q^{21} + 6 q^{22} + 6 q^{23} - 12 q^{25} + 6 q^{26} - 12 q^{27} + 6 q^{29} + 6 q^{30} - 24 q^{31} - 6 q^{33} - 12 q^{34} - 12 q^{35} - 24 q^{36} - 6 q^{38} + 6 q^{39} + 18 q^{41} + 6 q^{42} + 6 q^{44} + 12 q^{45} - 6 q^{46} + 12 q^{47} - 24 q^{50} - 6 q^{52} + 18 q^{53} - 6 q^{54} - 24 q^{55} + 6 q^{56} + 6 q^{58} + 18 q^{59} + 24 q^{60} + 18 q^{61} + 12 q^{62} + 30 q^{63} - 12 q^{64} + 30 q^{65} - 36 q^{66} + 12 q^{67} - 42 q^{69} + 24 q^{70} + 18 q^{71} + 6 q^{72} + 6 q^{74} - 12 q^{75} + 30 q^{76} + 30 q^{77} + 30 q^{78} - 6 q^{80} + 30 q^{81} - 18 q^{82} - 48 q^{83} - 6 q^{84} - 18 q^{85} + 12 q^{87} + 6 q^{89} - 12 q^{90} - 6 q^{91} - 42 q^{93} + 24 q^{94} + 30 q^{95} - 102 q^{97} - 48 q^{98} + 54 q^{99}+O(q^{100}) \) 12 * q + 6 * q^4 - 24 * q^9 + 6 * q^11 - 12 * q^13 - 6 * q^15 - 6 * q^16 + 12 * q^17 + 12 * q^18 + 36 * q^19 - 6 * q^20 - 24 * q^21 + 6 * q^22 + 6 * q^23 - 12 * q^25 + 6 * q^26 - 12 * q^27 + 6 * q^29 + 6 * q^30 - 24 * q^31 - 6 * q^33 - 12 * q^34 - 12 * q^35 - 24 * q^36 - 6 * q^38 + 6 * q^39 + 18 * q^41 + 6 * q^42 + 6 * q^44 + 12 * q^45 - 6 * q^46 + 12 * q^47 - 24 * q^50 - 6 * q^52 + 18 * q^53 - 6 * q^54 - 24 * q^55 + 6 * q^56 + 6 * q^58 + 18 * q^59 + 24 * q^60 + 18 * q^61 + 12 * q^62 + 30 * q^63 - 12 * q^64 + 30 * q^65 - 36 * q^66 + 12 * q^67 - 42 * q^69 + 24 * q^70 + 18 * q^71 + 6 * q^72 + 6 * q^74 - 12 * q^75 + 30 * q^76 + 30 * q^77 + 30 * q^78 - 6 * q^80 + 30 * q^81 - 18 * q^82 - 48 * q^83 - 6 * q^84 - 18 * q^85 + 12 * q^87 + 6 * q^89 - 12 * q^90 - 6 * q^91 - 42 * q^93 + 24 * q^94 + 30 * q^95 - 102 * q^97 - 48 * q^98 + 54 * q^99

Introduction

L-functions

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