LMFDB - Embedded newform 130.2.p.a.37.1

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			37.1
Root			$3.51623i$ of defining polynomial
Character	$\chi$	$=$	130.37
Dual form			130.2.p.a.123.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 - 0.500000i) q^{2} +(-1.75811 - 0.471085i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.28703 - 1.82854i) q^{5} +(-1.75811 + 0.471085i) q^{6} +(1.48736 - 2.57618i) q^{7} -1.00000i q^{8} +(0.270964 + 0.156441i) q^{9} +O(q^{10})$	\(q+(0.866025 - 0.500000i) q^{2} +(-1.75811 - 0.471085i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.28703 - 1.82854i) q^{5} +(-1.75811 + 0.471085i) q^{6} +(1.48736 - 2.57618i) q^{7} -1.00000i q^{8} +(0.270964 + 0.156441i) q^{9} +(-2.02887 - 0.940048i) q^{10} +(4.61150 + 1.23565i) q^{11} +(-1.28703 + 1.28703i) q^{12} +(-2.51839 + 2.58025i) q^{13} -2.97471i q^{14} +(1.40134 + 3.82108i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.185356 + 0.691759i) q^{17} +0.312882 q^{18} +(1.43724 + 5.36386i) q^{19} +(-2.22708 + 0.200329i) q^{20} +(-3.82854 + 3.82854i) q^{21} +(4.61150 - 1.23565i) q^{22} +(2.28677 - 8.53436i) q^{23} +(-0.471085 + 1.75811i) q^{24} +(-1.68712 + 4.70676i) q^{25} +(-0.890868 + 3.49376i) q^{26} +(3.45840 + 3.45840i) q^{27} +(-1.48736 - 2.57618i) q^{28} +(1.42810 - 0.824513i) q^{29} +(3.12414 + 2.60848i) q^{30} +(2.93241 + 2.93241i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-7.52544 - 4.34481i) q^{33} +(0.506402 + 0.506402i) q^{34} +(-6.62491 + 0.595921i) q^{35} +(0.270964 - 0.156441i) q^{36} +(-0.553503 - 0.958696i) q^{37} +(3.92662 + 3.92662i) q^{38} +(5.64314 - 3.34999i) q^{39} +(-1.82854 + 1.28703i) q^{40} +(1.45823 - 5.44220i) q^{41} +(-1.40134 + 5.22988i) q^{42} +(6.00549 - 1.60917i) q^{43} +(3.37585 - 3.37585i) q^{44} +(-0.0626794 - 0.696813i) q^{45} +(-2.28677 - 8.53436i) q^{46} -7.27511 q^{47} +(0.471085 + 1.75811i) q^{48} +(-0.924461 - 1.60121i) q^{49} +(0.892296 + 4.91974i) q^{50} -1.30351i q^{51} +(0.975366 + 3.47112i) q^{52} +(-3.61132 + 3.61132i) q^{53} +(4.72426 + 1.26586i) q^{54} +(-3.67569 - 10.0226i) q^{55} +(-2.57618 - 1.48736i) q^{56} -10.1073i q^{57} +(0.824513 - 1.42810i) q^{58} +(-1.72613 + 0.462515i) q^{59} +(4.00982 + 0.696941i) q^{60} +(-3.47255 + 6.01463i) q^{61} +(4.00575 + 1.07334i) q^{62} +(0.806040 - 0.465368i) q^{63} -1.00000 q^{64} +(7.95933 + 1.28413i) q^{65} -8.68962 q^{66} +(-0.296977 + 0.171460i) q^{67} +(0.691759 + 0.185356i) q^{68} +(-8.04081 + 13.9271i) q^{69} +(-5.43938 + 3.82854i) q^{70} +(-4.04012 + 1.08255i) q^{71} +(0.156441 - 0.270964i) q^{72} +8.44982i q^{73} +(-0.958696 - 0.553503i) q^{74} +(5.18343 - 7.48025i) q^{75} +(5.36386 + 1.43724i) q^{76} +(10.0422 - 10.0422i) q^{77} +(3.21210 - 5.72275i) q^{78} -0.977662i q^{79} +(-0.940048 + 2.02887i) q^{80} +(-4.92038 - 8.52234i) q^{81} +(-1.45823 - 5.44220i) q^{82} -1.99820 q^{83} +(1.40134 + 5.22988i) q^{84} +(1.02635 - 1.22924i) q^{85} +(4.39632 - 4.39632i) q^{86} +(-2.89918 + 0.776832i) q^{87} +(1.23565 - 4.61150i) q^{88} +(3.73975 - 13.9569i) q^{89} +(-0.402688 - 0.572118i) q^{90} +(2.90143 + 10.3256i) q^{91} +(-6.24758 - 6.24758i) q^{92} +(-3.77410 - 6.53693i) q^{93} +(-6.30043 + 3.63756i) q^{94} +(7.95826 - 9.53149i) q^{95} +(1.28703 + 1.28703i) q^{96} +(-5.43581 - 3.13837i) q^{97} +(-1.60121 - 0.924461i) q^{98} +(1.05624 + 1.05624i) 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
$3$	−1.75811	−	0.471085i	−1.01505	−	0.271981i	−0.287310	−	0.957838i	$-0.592761\pi$
$3$	−1.75811	−	0.471085i	−1.01505	−	0.271981i	−0.727737	+	0.685857i	$0.759428\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	−1.28703	−	1.82854i	−0.575576	−	0.817748i
$5$	−1.28703	−	1.82854i	−0.575576	−	0.817748i
$6$	−1.75811	+	0.471085i	−0.717747	+	0.192320i
$7$	1.48736	−	2.57618i	0.562168	−	0.973704i	−0.435139	−	0.900363i	$-0.643301\pi$
$7$	1.48736	−	2.57618i	0.562168	−	0.973704i	0.997307	−	0.0733403i	$-0.0233659\pi$
$8$		−	1.00000i		−	0.353553i
$9$	0.270964	+	0.156441i	0.0903213	+	0.0521470i
$10$	−2.02887	−	0.940048i	−0.641585	−	0.297269i
$11$	4.61150	+	1.23565i	1.39042	+	0.372561i	0.874894	−	0.484314i	$-0.160931\pi$
$11$	4.61150	+	1.23565i	1.39042	+	0.372561i	0.515524	+	0.856875i	$0.327597\pi$
$12$	−1.28703	+	1.28703i	−0.371533	+	0.371533i
$13$	−2.51839	+	2.58025i	−0.698477	+	0.715633i
$13$	−2.51839	+	2.58025i	−0.698477	+	0.715633i
$14$		−	2.97471i		−	0.795026i
$15$	1.40134	+	3.82108i	0.361825	+	0.986599i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	0.185356	+	0.691759i	0.0449555	+	0.167776i	0.984754	−	0.173953i	$-0.0556541\pi$
$17$	0.185356	+	0.691759i	0.0449555	+	0.167776i	−0.939798	+	0.341729i	$0.888987\pi$
$18$	0.312882			0.0737471
$19$	1.43724	+	5.36386i	0.329726	+	1.23055i	0.909475	+	0.415758i	$0.136484\pi$
$19$	1.43724	+	5.36386i	0.329726	+	1.23055i	−0.579749	+	0.814795i	$0.696850\pi$
$20$	−2.22708	+	0.200329i	−0.497989	+	0.0447949i
$21$	−3.82854	+	3.82854i	−0.835456	+	0.835456i
$22$	4.61150	−	1.23565i	0.983174	−	0.263441i
$23$	2.28677	−	8.53436i	0.476825	−	1.77954i	−0.137520	−	0.990499i	$-0.543913\pi$
$23$	2.28677	−	8.53436i	0.476825	−	1.77954i	0.614345	−	0.789037i	$-0.289420\pi$
$24$	−0.471085	+	1.75811i	−0.0961598	+	0.358873i
$25$	−1.68712	+	4.70676i	−0.337424	+	0.941353i
$26$	−0.890868	+	3.49376i	−0.174714	+	0.685183i
$27$	3.45840	+	3.45840i	0.665569	+	0.665569i
$28$	−1.48736	−	2.57618i	−0.281084	−	0.486852i
$29$	1.42810	−	0.824513i	0.265191	−	0.153108i	−0.361509	−	0.932369i	$-0.617738\pi$
$29$	1.42810	−	0.824513i	0.265191	−	0.153108i	0.626700	+	0.779260i	$0.284405\pi$
$30$	3.12414	+	2.60848i	0.570387	+	0.476241i
$31$	2.93241	+	2.93241i	0.526677	+	0.526677i	0.919580	−	0.392903i	$-0.128529\pi$
$31$	2.93241	+	2.93241i	0.526677	+	0.526677i	−0.392903	+	0.919580i	$0.628529\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	−7.52544	−	4.34481i	−1.31001	−	0.756335i
$34$	0.506402	+	0.506402i	0.0868473	+	0.0868473i
$35$	−6.62491	+	0.595921i	−1.11981	+	0.100729i
$36$	0.270964	−	0.156441i	0.0451607	−	0.0260735i
$37$	−0.553503	−	0.958696i	−0.0909954	−	0.157609i	0.816935	−	0.576730i	$-0.195672\pi$
$37$	−0.553503	−	0.958696i	−0.0909954	−	0.157609i	−0.907930	+	0.419121i	$0.862338\pi$
$38$	3.92662	+	3.92662i	0.636981	+	0.636981i
$39$	5.64314	−	3.34999i	0.903625	−	0.536428i
$40$	−1.82854	+	1.28703i	−0.289118	+	0.203497i
$41$	1.45823	−	5.44220i	0.227738	−	0.849929i	−0.753551	−	0.657389i	$-0.771661\pi$
$41$	1.45823	−	5.44220i	0.227738	−	0.849929i	0.981289	−	0.192540i	$-0.0616726\pi$
$42$	−1.40134	+	5.22988i	−0.216232	+	0.806988i
$43$	6.00549	−	1.60917i	0.915828	−	0.245395i	0.230027	−	0.973184i	$-0.426119\pi$
$43$	6.00549	−	1.60917i	0.915828	−	0.245395i	0.685801	+	0.727789i	$0.259452\pi$
$44$	3.37585	−	3.37585i	0.508928	−	0.508928i
$45$	−0.0626794	−	0.696813i	−0.00934369	−	0.103875i
$46$	−2.28677	−	8.53436i	−0.337166	−	1.25832i
$47$	−7.27511			−1.06118			−0.530592	−	0.847627i	$-0.678030\pi$
$47$	−7.27511			−1.06118			−0.530592	+	0.847627i	$0.678030\pi$
$48$	0.471085	+	1.75811i	0.0679953	+	0.253762i
$49$	−0.924461	−	1.60121i	−0.132066	−	0.228745i
$50$	0.892296	+	4.91974i	0.126190	+	0.695756i
$51$		−	1.30351i		−	0.182528i
$52$	0.975366	+	3.47112i	0.135259	+	0.481357i
$53$	−3.61132	+	3.61132i	−0.496053	+	0.496053i	−0.910207	−	0.414154i	$-0.864078\pi$
$53$	−3.61132	+	3.61132i	−0.496053	+	0.496053i	0.414154	+	0.910207i	$0.364078\pi$
$54$	4.72426	+	1.26586i	0.642890	+	0.172262i
$55$	−3.67569	−	10.0226i	−0.495631	−	1.35145i
$56$	−2.57618	−	1.48736i	−0.344256	−	0.198756i
$57$		−	10.1073i		−	1.33875i
$58$	0.824513	−	1.42810i	0.108264	−	0.187519i
$59$	−1.72613	+	0.462515i	−0.224723	+	0.0602143i	−0.369423	−	0.929261i	$-0.620445\pi$
$59$	−1.72613	+	0.462515i	−0.224723	+	0.0602143i	0.144701	+	0.989475i	$0.453778\pi$
$60$	4.00982	+	0.696941i	0.517666	+	0.0899747i
$61$	−3.47255	+	6.01463i	−0.444614	+	0.770094i	−0.998025	−	0.0628142i	$-0.979992\pi$
$61$	−3.47255	+	6.01463i	−0.444614	+	0.770094i	0.553411	+	0.832908i	$0.313326\pi$
$62$	4.00575	+	1.07334i	0.508731	+	0.136314i
$63$	0.806040	−	0.465368i	0.101552	−	0.0586308i
$64$	−1.00000			−0.125000
$65$	7.95933	+	1.28413i	0.987234	+	0.159277i
$66$	−8.68962			−1.06962
$67$	−0.296977	+	0.171460i	−0.0362815	+	0.0209472i	−0.518031	−	0.855362i	$-0.673335\pi$
$67$	−0.296977	+	0.171460i	−0.0362815	+	0.0209472i	0.481750	+	0.876309i	$0.340002\pi$
$68$	0.691759	+	0.185356i	0.0838881	+	0.0224777i
$69$	−8.04081	+	13.9271i	−0.968000	+	1.67663i
$70$	−5.43938	+	3.82854i	−0.650131	+	0.457598i
$71$	−4.04012	+	1.08255i	−0.479474	+	0.128475i	−0.490458	−	0.871465i	$-0.663170\pi$
$71$	−4.04012	+	1.08255i	−0.479474	+	0.128475i	0.0109836	+	0.999940i	$0.496504\pi$
$72$	0.156441	−	0.270964i	0.0184368	−	0.0319334i
$73$			8.44982i			0.988976i	0.869184	+	0.494488i	$0.164644\pi$
$73$			8.44982i			0.988976i	−0.869184	+	0.494488i	$0.835356\pi$
$74$	−0.958696	−	0.553503i	−0.111446	−	0.0643435i
$75$	5.18343	−	7.48025i	0.598531	−	0.863745i
$76$	5.36386	+	1.43724i	0.615277	+	0.164863i
$77$	10.0422	−	10.0422i	1.14441	−	1.14441i
$78$	3.21210	−	5.72275i	0.363699	−	0.647974i
$79$		−	0.977662i		−	0.109996i	−0.998486	−	0.0549978i	$-0.982485\pi$
$79$		−	0.977662i		−	0.109996i	0.998486	−	0.0549978i	$-0.0175152\pi$
$80$	−0.940048	+	2.02887i	−0.105101	+	0.226834i
$81$	−4.92038	−	8.52234i	−0.546708	−	0.946927i
$82$	−1.45823	−	5.44220i	−0.161035	−	0.600991i
$83$	−1.99820			−0.219331			−0.109665	−	0.993969i	$-0.534978\pi$
$83$	−1.99820			−0.219331			−0.109665	+	0.993969i	$0.534978\pi$
$84$	1.40134	+	5.22988i	0.152899	+	0.570627i
$85$	1.02635	−	1.22924i	0.111323	−	0.133330i
$86$	4.39632	−	4.39632i	0.474068	−	0.474068i
$87$	−2.89918	+	0.776832i	−0.310824	+	0.0832851i
$88$	1.23565	−	4.61150i	0.131720	−	0.491587i
$89$	3.73975	−	13.9569i	0.396413	−	1.47943i	−0.422947	−	0.906154i	$-0.639004\pi$
$89$	3.73975	−	13.9569i	0.396413	−	1.47943i	0.819360	−	0.573279i	$-0.194329\pi$
$90$	−0.402688	−	0.572118i	−0.0424471	−	0.0603065i
$91$	2.90143	+	10.3256i	0.304153	+	1.08242i
$92$	−6.24758	−	6.24758i	−0.651356	−	0.651356i
$93$	−3.77410	−	6.53693i	−0.391356	−	0.677848i
$94$	−6.30043	+	3.63756i	−0.649840	+	0.375185i
$95$	7.95826	−	9.53149i	0.816500	−	0.977910i
$96$	1.28703	+	1.28703i	0.131357	+	0.131357i
$97$	−5.43581	−	3.13837i	−0.551923	−	0.318653i	0.197974	−	0.980207i	$-0.436564\pi$
$97$	−5.43581	−	3.13837i	−0.551923	−	0.318653i	−0.749897	+	0.661554i	$0.769897\pi$
$98$	−1.60121	−	0.924461i	−0.161747	−	0.0933847i
$99$	1.05624	+	1.05624i	0.106156	+	0.106156i
$100$	3.23262	+	3.81447i	0.323262	+	0.381447i
$101$	7.04185	−	4.06561i	0.700690	−	0.404544i	−0.106914	−	0.994268i	$-0.534097\pi$
$101$	7.04185	−	4.06561i	0.700690	−	0.404544i	0.807604	+	0.589725i	$0.200764\pi$
$102$	−0.651754	−	1.12887i	−0.0645333	−	0.111775i
$103$	2.65673	+	2.65673i	0.261775	+	0.261775i	0.825775	−	0.564000i	$-0.190738\pi$
$103$	2.65673	+	2.65673i	0.261775	+	0.261775i	−0.564000	+	0.825775i	$0.690738\pi$
$104$	2.58025	+	2.51839i	0.253014	+	0.246949i
$105$	11.9281	+	2.07320i	1.16406	+	0.202324i
$106$	−1.32184	+	4.93316i	−0.128388	+	0.479150i
$107$	−4.36639	+	16.2956i	−0.422114	+	1.57535i	0.348030	+	0.937483i	$0.386851\pi$
$107$	−4.36639	+	16.2956i	−0.422114	+	1.57535i	−0.770145	+	0.637869i	$0.779816\pi$
$108$	4.72426	−	1.26586i	0.454592	−	0.121808i
$109$	−13.8295	+	13.8295i	−1.32463	+	1.32463i	−0.414645	+	0.909983i	$0.636094\pi$
$109$	−13.8295	+	13.8295i	−1.32463	+	1.32463i	−0.909983	+	0.414645i	$0.863906\pi$
$110$	−8.19455	−	6.84199i	−0.781320	−	0.652358i
$111$	0.521494	+	1.94624i	0.0494980	+	0.184729i
$112$	−2.97471			−0.281084
$113$	3.05624	+	11.4061i	0.287507	+	1.07299i	0.946988	+	0.321270i	$0.104110\pi$
$113$	3.05624	+	11.4061i	0.287507	+	1.07299i	−0.659481	+	0.751722i	$0.729224\pi$
$114$	−5.05367	−	8.75320i	−0.473319	−	0.819813i
$115$	−18.5486	+	6.80250i	−1.72966	+	0.634336i
$116$		−	1.64903i		−	0.153108i
$117$	−1.08605	+	0.305175i	−0.100405	+	0.0282134i
$118$	−1.26361	+	1.26361i	−0.116325	+	0.116325i
$119$	2.05778	+	0.551382i	0.188637	+	0.0505451i
$120$	3.82108	−	1.40134i	0.348815	−	0.127925i
$121$	10.2128	+	5.89636i	0.928435	+	0.536032i
$122$			6.94509i			0.628779i
$123$	−5.12748	+	8.88106i	−0.462329	+	0.800778i
$124$	4.00575	−	1.07334i	0.359727	−	0.0963886i
$125$	10.7779	−	2.97278i	0.964003	−	0.265893i
$126$	0.465368	−	0.806040i	0.0414582	−	0.0718078i
$127$	19.4683	+	5.21652i	1.72753	+	0.462891i	0.979613	−	0.200896i	$-0.0643852\pi$
$127$	19.4683	+	5.21652i	1.72753	+	0.462891i	0.747922	+	0.663787i	$0.231052\pi$
$128$	−0.866025	+	0.500000i	−0.0765466	+	0.0441942i
$129$	−11.3164			−0.996352
$130$	7.53505	−	2.86758i	0.660868	−	0.251503i
$131$	4.85047			0.423788			0.211894	−	0.977293i	$-0.432037\pi$
$131$	4.85047			0.423788			0.211894	+	0.977293i	$0.432037\pi$
$132$	−7.52544	+	4.34481i	−0.655005	+	0.378167i
$133$	15.9559	+	4.27538i	1.38356	+	0.370723i
$134$	−0.171460	+	0.296977i	−0.0148119	+	0.0256549i
$135$	1.87276	−	10.7749i	0.161182	−	0.927353i
$136$	0.691759	−	0.185356i	0.0593178	−	0.0158942i
$137$	−10.4641	+	18.1243i	−0.894005	+	1.54846i	−0.0589729	+	0.998260i	$0.518783\pi$
$137$	−10.4641	+	18.1243i	−0.894005	+	1.54846i	−0.835032	+	0.550202i	$0.814551\pi$
$138$			16.0816i			1.36896i
$139$	−8.05062	−	4.64803i	−0.682845	−	0.394241i	0.118081	−	0.993004i	$-0.462326\pi$
$139$	−8.05062	−	4.64803i	−0.682845	−	0.394241i	−0.800926	+	0.598763i	$0.795659\pi$
$140$	−2.79637	+	6.03530i	−0.236337	+	0.510076i
$141$	12.7905	+	3.42720i	1.07715	+	0.288622i
$142$	−2.95757	+	2.95757i	−0.248194	+	0.248194i
$143$	−14.8018	+	8.78697i	−1.23779	+	0.734803i
$144$		−	0.312882i		−	0.0260735i
$145$	−3.34566	−	1.55016i	−0.277842	−	0.128734i
$146$	4.22491	+	7.31776i	0.349656	+	0.605622i
$147$	0.871000	+	3.25061i	0.0718388	+	0.268106i
$148$	−1.10701			−0.0909954
$149$	−0.879747	−	3.28326i	−0.0720717	−	0.268975i	0.920482	−	0.390786i	$-0.127797\pi$
$149$	−0.879747	−	3.28326i	−0.0720717	−	0.268975i	−0.992553	+	0.121811i	$0.961130\pi$
$150$	0.748858	−	9.06980i	0.0611440	−	0.740546i
$151$	−5.47671	+	5.47671i	−0.445689	+	0.445689i	−0.893918	−	0.448230i	$-0.852055\pi$
$151$	−5.47671	+	5.47671i	−0.445689	+	0.445689i	0.448230	+	0.893918i	$0.352055\pi$
$152$	5.36386	−	1.43724i	0.435066	−	0.116576i
$153$	−0.0579947	+	0.216439i	−0.00468859	+	0.0174981i
$154$	3.67569	−	13.7179i	0.296196	−	1.10542i
$155$	1.58794	−	9.13613i	0.127546	−	0.733832i
$156$	−0.0796115	−	6.56210i	−0.00637402	−	0.525388i
$157$	−11.3987	−	11.3987i	−0.909713	−	0.909713i	0.0865359	−	0.996249i	$-0.472420\pi$
$157$	−11.3987	−	11.3987i	−0.909713	−	0.909713i	−0.996249	+	0.0865359i	$0.972420\pi$
$158$	−0.488831	−	0.846680i	−0.0388893	−	0.0673582i
$159$	8.05035	−	4.64787i	0.638434	−	0.368600i
$160$	0.200329	+	2.22708i	0.0158374	+	0.176066i
$161$	−18.5848	−	18.5848i	−1.46469	−	1.46469i
$162$	−8.52234	−	4.92038i	−0.669578	−	0.386581i
$163$	−1.83258	−	1.05804i	−0.143538	−	0.0828719i	0.426511	−	0.904482i	$-0.359743\pi$
$163$	−1.83258	−	1.05804i	−0.143538	−	0.0828719i	−0.570049	+	0.821610i	$0.693076\pi$
$164$	−3.98397	−	3.98397i	−0.311096	−	0.311096i
$165$	1.74078	+	19.3525i	0.135520	+	1.50659i
$166$	−1.73049	+	0.999098i	−0.134312	+	0.0775451i
$167$	−1.82443	−	3.16000i	−0.141178	−	0.244528i	0.786762	−	0.617256i	$-0.211756\pi$
$167$	−1.82443	−	3.16000i	−0.141178	−	0.244528i	−0.927941	+	0.372728i	$0.878422\pi$
$168$	3.82854	+	3.82854i	0.295378	+	0.295378i
$169$	−0.315386	−	12.9962i	−0.0242605	−	0.999706i
$170$	0.274223	−	1.57773i	0.0210319	−	0.121006i
$171$	−0.449687	+	1.67826i	−0.0343884	+	0.128339i
$172$	1.60917	−	6.00549i	0.122698	−	0.457914i
$173$	9.38886	−	2.51574i	0.713822	−	0.191268i	0.116408	−	0.993201i	$-0.462862\pi$
$173$	9.38886	−	2.51574i	0.713822	−	0.191268i	0.597413	+	0.801933i	$0.296195\pi$
$174$	−2.12234	+	2.12234i	−0.160894	+	0.160894i
$175$	9.61612	+	11.3470i	0.726910	+	0.857749i
$176$	−1.23565	−	4.61150i	−0.0931404	−	0.347605i
$177$	3.25261			0.244481
$178$	−3.73975	−	13.9569i	−0.280306	−	1.04612i
$179$	4.83140	+	8.36822i	0.361115	+	0.625470i	0.988145	−	0.153525i	$-0.0490627\pi$
$179$	4.83140	+	8.36822i	0.361115	+	0.625470i	−0.627029	+	0.778996i	$0.715729\pi$
$180$	−0.634797	−	0.294124i	−0.0473150	−	0.0219227i
$181$		−	11.9767i		−	0.890222i	−0.895475	−	0.445111i	$-0.853164\pi$
$181$		−	11.9767i		−	0.890222i	0.895475	−	0.445111i	$-0.146836\pi$
$182$	7.67551	+	7.49150i	0.568946	+	0.555307i
$183$	8.93853	−	8.93853i	0.660755	−	0.660755i
$184$	−8.53436	−	2.28677i	−0.629161	−	0.168583i
$185$	−1.04064	+	2.24597i	−0.0765093	+	0.165127i
$186$	−6.53693	−	3.77410i	−0.479311	−	0.276730i
$187$			3.41908i			0.250028i
$188$	−3.63756	+	6.30043i	−0.265296	+	0.459506i
$189$	14.0533	−	3.76557i	1.02223	−	0.273905i
$190$	2.12631	−	12.2336i	0.154259	−	0.887522i
$191$	11.1972	−	19.3941i	0.810200	−	1.40331i	−0.102524	−	0.994730i	$-0.532692\pi$
$191$	11.1972	−	19.3941i	0.810200	−	1.40331i	0.912724	−	0.408577i	$-0.133975\pi$
$192$	1.75811	+	0.471085i	0.126881	+	0.0339976i
$193$	−4.67821	+	2.70097i	−0.336745	+	0.194420i	−0.658832	−	0.752290i	$-0.728949\pi$
$193$	−4.67821	+	2.70097i	−0.336745	+	0.194420i	0.322087	+	0.946710i	$0.395616\pi$
$194$	−6.27674			−0.450643
$195$	−13.3885	−	6.00717i	−0.958769	−	0.430182i
$196$	−1.84892			−0.132066
$197$	−0.749534	+	0.432744i	−0.0534021	+	0.0308317i	−0.526463	−	0.850198i	$-0.676482\pi$
$197$	−0.749534	+	0.432744i	−0.0534021	+	0.0308317i	0.473061	+	0.881030i	$0.343149\pi$
$198$	1.44286	+	0.386612i	0.102539	+	0.0274753i
$199$	6.17958	−	10.7033i	0.438059	−	0.758740i	−0.559481	−	0.828843i	$-0.688999\pi$
$199$	6.17958	−	10.7033i	0.438059	−	0.758740i	0.997540	+	0.0701031i	$0.0223328\pi$
$200$	4.70676	+	1.68712i	0.332819	+	0.119297i
$201$	0.602892	−	0.161544i	0.0425247	−	0.0113945i
$202$	4.06561	−	7.04185i	0.286056	−	0.495463i
$203$		−	4.90538i		−	0.344290i
$204$	−1.12887	−	0.651754i	−0.0790368	−	0.0456319i
$205$	−11.8281	+	4.33783i	−0.826109	+	0.302967i
$206$	3.62916	+	0.972430i	0.252855	+	0.0677524i
$207$	1.95476	−	1.95476i	0.135865	−	0.135865i
$208$	3.49376	+	0.890868i	0.242249	+	0.0617706i
$209$			26.5113i			1.83383i
$210$	11.3666	−	4.16859i	0.784371	−	0.287660i
$211$	−9.32996	−	16.1600i	−0.642301	−	1.11250i	−0.984918	−	0.173022i	$-0.944647\pi$
$211$	−9.32996	−	16.1600i	−0.642301	−	1.11250i	0.342617	−	0.939475i	$-0.388687\pi$
$212$	1.32184	+	4.93316i	0.0907840	+	0.338811i
$213$	7.61296			0.521631
$214$	4.36639	+	16.2956i	0.298480	+	1.11394i
$215$	−10.6717	−	8.91023i	−0.727801	−	0.607673i
$216$	3.45840	−	3.45840i	0.235314	−	0.235314i
$217$	11.9160	−	3.19287i	0.808908	−	0.216746i
$218$	−5.06196	+	18.8915i	−0.342839	+	1.27949i
$219$	3.98058	−	14.8557i	0.268983	−	1.00386i
$220$	−10.5177	−	1.82806i	−0.709102	−	0.123248i
$221$	−2.25171	−	1.26386i	−0.151466	−	0.0850161i
$222$	1.42475	+	1.42475i	0.0956229	+	0.0956229i
$223$	2.04338	+	3.53924i	0.136835	+	0.237005i	0.926297	−	0.376795i	$-0.122974\pi$
$223$	2.04338	+	3.53924i	0.136835	+	0.237005i	−0.789462	+	0.613799i	$0.789640\pi$
$224$	−2.57618	+	1.48736i	−0.172128	+	0.0993782i
$225$	−1.19348	+	1.01143i	−0.0795653	+	0.0674286i
$226$	8.34981	+	8.34981i	0.555421	+	0.555421i
$227$	−6.02777	−	3.48013i	−0.400077	−	0.230984i	0.286440	−	0.958098i	$-0.407528\pi$
$227$	−6.02777	−	3.48013i	−0.400077	−	0.230984i	−0.686517	+	0.727114i	$0.740861\pi$
$228$	−8.75320	−	5.05367i	−0.579695	−	0.334687i
$229$	−15.8682	−	15.8682i	−1.04860	−	1.04860i	−0.998757	−	0.0498402i	$-0.984129\pi$
$229$	−15.8682	−	15.8682i	−1.04860	−	1.04860i	−0.0498402	−	0.998757i	$-0.515871\pi$
$230$	−12.6623	+	15.1654i	−0.834925	+	0.999978i
$231$	−22.3860	+	12.9246i	−1.47289	+	0.850374i
$232$	−0.824513	−	1.42810i	−0.0541320	−	0.0937593i
$233$	9.92671	+	9.92671i	0.650320	+	0.650320i	0.953070	−	0.302750i	$-0.0979047\pi$
$233$	9.92671	+	9.92671i	0.650320	+	0.650320i	−0.302750	+	0.953070i	$0.597905\pi$
$234$	−0.787961	+	0.807315i	−0.0515106	+	0.0527758i
$235$	9.36328	+	13.3028i	0.610793	+	0.867782i
$236$	−0.462515	+	1.72613i	−0.0301071	+	0.112361i
$237$	−0.460562	+	1.71884i	−0.0299167	+	0.111651i
$238$	2.05778	−	0.551382i	0.133386	−	0.0357408i
$239$	1.35984	−	1.35984i	0.0879609	−	0.0879609i	−0.661757	−	0.749718i	$-0.730189\pi$
$239$	1.35984	−	1.35984i	0.0879609	−	0.0879609i	0.749718	+	0.661757i	$0.230189\pi$
$240$	2.60848	−	3.12414i	0.168377	−	0.201662i
$241$	6.13563	+	22.8985i	0.395231	+	1.47502i	0.821387	+	0.570372i	$0.193201\pi$
$241$	6.13563	+	22.8985i	0.395231	+	1.47502i	−0.426156	+	0.904650i	$0.640133\pi$
$242$	11.7927			0.758064
$243$	0.838248	+	3.12838i	0.0537736	+	0.200686i
$244$	3.47255	+	6.01463i	0.222307	+	0.385047i
$245$	−1.73808	+	3.75122i	−0.111042	+	0.239657i
$246$			10.2550i			0.653832i
$247$	−17.4596	−	9.79986i	−1.11093	−	0.623550i
$248$	2.93241	−	2.93241i	0.186208	−	0.186208i
$249$	3.51305	+	0.941320i	0.222631	+	0.0596537i
$250$	7.84753	−	7.96344i	0.496321	−	0.503652i
$251$	−17.8533	−	10.3076i	−1.12689	−	0.650609i	−0.183737	−	0.982975i	$-0.558820\pi$
$251$	−17.8533	−	10.3076i	−1.12689	−	0.650609i	−0.943150	+	0.332367i	$0.892153\pi$
$252$		−	0.930735i		−	0.0586308i
$253$	21.0909	−	36.5305i	1.32597	−	2.29665i
$254$	19.4683	−	5.21652i	1.22155	−	0.327314i
$255$	−2.38352	+	1.67765i	−0.149262	+	0.105059i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	3.39680	+	0.910170i	0.211887	+	0.0567748i	0.363201	−	0.931711i	$-0.381684\pi$
$257$	3.39680	+	0.910170i	0.211887	+	0.0567748i	−0.151314	+	0.988486i	$0.548351\pi$
$258$	−9.80027	+	5.65819i	−0.610138	+	0.352264i
$259$	−3.29303			−0.204619
$260$	5.09176	−	6.25092i	0.315777	−	0.387666i
$261$	0.515951			0.0319366
$262$	4.20063	−	2.42524i	0.259516	−	0.149832i
$263$	−17.7716	−	4.76188i	−1.09584	−	0.293630i	−0.334772	−	0.942299i	$-0.608659\pi$
$263$	−17.7716	−	4.76188i	−1.09584	−	0.293630i	−0.761070	+	0.648669i	$0.775326\pi$
$264$	−4.34481	+	7.52544i	−0.267405	+	0.463159i
$265$	11.2513	+	1.95557i	0.691163	+	0.120130i
$266$	15.9559	−	4.27538i	0.978322	−	0.262140i
$267$	−13.1498	+	22.7761i	−0.804756	+	1.39388i
$268$			0.342920i			0.0209472i
$269$	−5.12309	−	2.95782i	−0.312360	−	0.180341i	0.335622	−	0.941997i	$-0.391054\pi$
$269$	−5.12309	−	2.95782i	−0.312360	−	0.180341i	−0.647982	+	0.761656i	$0.724387\pi$
$270$	−3.76557	−	10.2677i	−0.229166	−	0.624872i
$271$	15.3007	+	4.09982i	0.929452	+	0.249046i	0.691621	−	0.722260i	$-0.256897\pi$
$271$	15.3007	+	4.09982i	0.929452	+	0.249046i	0.237831	+	0.971306i	$0.423563\pi$
$272$	0.506402	−	0.506402i	0.0307052	−	0.0307052i
$273$	−0.236821	−	19.5204i	−0.0143331	−	1.18143i
$274$			20.9281i			1.26431i
$275$	−13.5960	+	19.6205i	−0.819872	+	1.18316i
$276$	8.04081	+	13.9271i	0.484000	+	0.838313i
$277$	−3.47556	−	12.9710i	−0.208826	−	0.779349i	−0.988249	−	0.152851i	$-0.951154\pi$
$277$	−3.47556	−	12.9710i	−0.208826	−	0.779349i	0.779423	−	0.626498i	$-0.215512\pi$
$278$	−9.29606			−0.557541
$279$	0.335828	+	1.25333i	0.0201055	+	0.0750348i
$280$	0.595921	+	6.62491i	0.0356131	+	0.395914i
$281$	−15.3003	+	15.3003i	−0.912739	+	0.912739i	−0.996487	−	0.0837477i	$-0.973311\pi$
$281$	−15.3003	+	15.3003i	−0.912739	+	0.912739i	0.0837477	+	0.996487i	$0.473311\pi$
$282$	12.7905	−	3.42720i	0.761662	−	0.204087i
$283$	−2.13914	+	7.98338i	−0.127159	+	0.474563i	−0.999907	−	0.0136071i	$-0.995669\pi$
$283$	−2.13914	+	7.98338i	−0.127159	+	0.474563i	0.872749	+	0.488170i	$0.162335\pi$
$284$	−1.08255	+	4.04012i	−0.0642373	+	0.239737i
$285$	−18.4817	+	13.0084i	−1.09476	+	0.770552i
$286$	−8.42528	+	15.0107i	−0.498197	+	0.887599i
$287$	−11.8512	−	11.8512i	−0.699552	−	0.699552i
$288$	−0.156441	−	0.270964i	−0.00921838	−	0.0159667i
$289$	14.2783	−	8.24356i	0.839898	−	0.484915i
$290$	−3.67251	+	0.330348i	−0.215657	+	0.0193987i
$291$	8.07834	+	8.07834i	0.473560	+	0.473560i
$292$	7.31776	+	4.22491i	0.428239	+	0.247244i
$293$	5.98631	+	3.45620i	0.349724	+	0.201913i	0.664564	−	0.747232i	$-0.268617\pi$
$293$	5.98631	+	3.45620i	0.349724	+	0.201913i	−0.314840	+	0.949145i	$0.601951\pi$
$294$	2.37962	+	2.37962i	0.138782	+	0.138782i
$295$	3.06730	+	2.56103i	0.178585	+	0.149109i
$296$	−0.958696	+	0.553503i	−0.0557231	+	0.0321717i
$297$	11.6750	+	20.2217i	0.677453	+	1.17338i
$298$	−2.40351	−	2.40351i	−0.139232	−	0.139232i
$299$	16.2618	+	27.3933i	0.940443	+	1.58420i
$300$	−3.88637	−	8.22911i	−0.224380	−	0.475108i
$301$	4.78681	−	17.8646i	0.275907	−	1.02970i
$302$	−2.00462	+	7.48133i	−0.115353	+	0.430502i
$303$	−14.2956	+	3.83050i	−0.821262	+	0.220056i
$304$	3.92662	−	3.92662i	0.225207	−	0.225207i
$305$	15.4672	−	1.39130i	0.885652	−	0.0796658i
$306$	0.0579947	+	0.216439i	0.00331533	+	0.0123730i
$307$	1.31954			0.0753098			0.0376549	−	0.999291i	$-0.488011\pi$
$307$	1.31954			0.0753098			0.0376549	+	0.999291i	$0.488011\pi$
$308$	−3.67569	−	13.7179i	−0.209442	−	0.781649i
$309$	−3.41928	−	5.92237i	−0.194516	−	0.336912i
$310$	−3.19287	−	8.70609i	−0.181343	−	0.494473i
$311$			22.1561i			1.25636i	0.778069	+	0.628179i	$0.216200\pi$
$311$			22.1561i			1.25636i	−0.778069	+	0.628179i	$0.783800\pi$
$312$	−3.34999	−	5.64314i	−0.189656	−	0.319480i
$313$	−2.85230	+	2.85230i	−0.161222	+	0.161222i	−0.783108	−	0.621886i	$-0.786367\pi$
$313$	−2.85230	+	2.85230i	−0.161222	+	0.161222i	0.621886	+	0.783108i	$0.286367\pi$
$314$	−15.5709	−	4.17220i	−0.878715	−	0.235451i
$315$	−1.88834	−	0.874936i	−0.106396	−	0.0492971i
$316$	−0.846680	−	0.488831i	−0.0476295	−	0.0274989i
$317$			11.7505i			0.659975i	0.943985	+	0.329988i	$0.107045\pi$
$317$			11.7505i			0.659975i	−0.943985	+	0.329988i	$0.892955\pi$
$318$	4.64787	−	8.05035i	0.260640	−	0.451441i
$319$	7.60448	−	2.03761i	0.425769	−	0.114084i
$320$	1.28703	+	1.82854i	0.0719471	+	0.102218i
$321$	15.3532	−	26.5925i	0.856932	−	1.48425i
$322$	−25.3873	−	6.80250i	−1.41478	−	0.379088i
$323$	−3.44409	+	1.98845i	−0.191634	+	0.110640i
$324$	−9.84075			−0.546708
$325$	−7.89581	−	16.2067i	−0.437980	−	0.898984i
$326$	−2.11608			−0.117199
$327$	30.8287	−	17.7990i	1.70483	−	0.984286i
$328$	−5.44220	−	1.45823i	−0.300495	−	0.0805175i
$329$	−10.8207	+	18.7420i	−0.596564	+	1.03328i
$330$	11.1838	+	15.8893i	0.615647	+	0.874679i
$331$	−4.84961	+	1.29945i	−0.266558	+	0.0714241i	−0.389623	−	0.920975i	$-0.627395\pi$
$331$	−4.84961	+	1.29945i	−0.266558	+	0.0714241i	0.123064	+	0.992399i	$0.460728\pi$
$332$	−0.999098	+	1.73049i	−0.0548326	+	0.0949729i
$333$		−	0.346363i		−	0.0189806i
$334$	−3.16000	−	1.82443i	−0.172907	−	0.0998281i
$335$	0.695739	+	0.322361i	0.0380123	+	0.0176125i
$336$	5.22988	+	1.40134i	0.285314	+	0.0764495i
$337$	24.9790	−	24.9790i	1.36070	−	1.36070i	0.487663	−	0.873032i	$-0.337849\pi$
$337$	24.9790	−	24.9790i	1.36070	−	1.36070i	0.873032	−	0.487663i	$-0.162151\pi$
$338$	−6.77122	−	11.0973i	−0.368306	−	0.603615i
$339$		−	21.4929i		−	1.16733i
$340$	−0.551382	−	1.50347i	−0.0299029	−	0.0815369i
$341$	9.89938	+	17.1462i	0.536082	+	0.928521i
$342$	0.449687	+	1.67826i	0.0243163	+	0.0907497i
$343$	15.3230			0.827363
$344$	−1.60917	−	6.00549i	−0.0867604	−	0.323794i
$345$	35.8150	−	3.22162i	1.92822	−	0.173446i
$346$	6.87312	−	6.87312i	0.369501	−	0.369501i
$347$	−9.72248	+	2.60513i	−0.521930	+	0.139851i	−0.510159	−	0.860080i	$-0.670414\pi$
$347$	−9.72248	+	2.60513i	−0.521930	+	0.139851i	−0.0117708	+	0.999931i	$0.503747\pi$
$348$	−0.776832	+	2.89918i	−0.0416425	+	0.155412i
$349$	−8.39441	+	31.3284i	−0.449342	+	1.67697i	0.254867	+	0.966976i	$0.417968\pi$
$349$	−8.39441	+	31.3284i	−0.449342	+	1.67697i	−0.704209	+	0.709992i	$0.748698\pi$
$350$	14.0013	+	5.01869i	0.748400	+	0.268260i
$351$	−17.6331	+	0.213926i	−0.941187	+	0.0114185i
$352$	−3.37585	−	3.37585i	−0.179933	−	0.179933i
$353$	−13.8188	−	23.9349i	−0.735501	−	1.27392i	−0.954503	−	0.298200i	$-0.903614\pi$
$353$	−13.8188	−	23.9349i	−0.735501	−	1.27392i	0.219003	−	0.975724i	$-0.429720\pi$
$354$	2.81684	−	1.62631i	0.149714	−	0.0864372i
$355$	7.17923	+	5.99425i	0.381034	+	0.318142i
$356$	−10.2172	−	10.2172i	−0.541510	−	0.541510i
$357$	−3.35807	−	1.93878i	−0.177728	−	0.102611i
$358$	8.36822	+	4.83140i	0.442274	+	0.255347i
$359$	10.3009	+	10.3009i	0.543661	+	0.543661i	0.924600	−	0.380939i	$-0.124399\pi$
$359$	10.3009	+	10.3009i	0.543661	+	0.543661i	−0.380939	+	0.924600i	$0.624399\pi$
$360$	−0.696813	+	0.0626794i	−0.0367252	+	0.00330349i
$361$	−10.2508	+	5.91832i	−0.539517	+	0.311490i
$362$	−5.98836	−	10.3721i	−0.314741	−	0.545147i
$363$	−15.1775	−	15.1775i	−0.796615	−	0.796615i
$364$	10.3929	+	2.65008i	0.544738	+	0.138902i
$365$	15.4508	−	10.8752i	0.808733	−	0.569231i
$366$	3.27173	−	12.2103i	0.171016	−	0.638240i
$367$	−0.824064	+	3.07545i	−0.0430158	+	0.160537i	−0.984093	−	0.177655i	$-0.943149\pi$
$367$	−0.824064	+	3.07545i	−0.0430158	+	0.160537i	0.941077	+	0.338192i	$0.109815\pi$
$368$	−8.53436	+	2.28677i	−0.444884	+	0.119206i
$369$	1.24651	−	1.24651i	0.0648909	−	0.0648909i
$370$	0.221765	+	2.46539i	0.0115290	+	0.128169i
$371$	3.93208	+	14.6747i	0.204143	+	0.761874i
$372$	−7.54820			−0.391356
$373$	5.76745	+	21.5244i	0.298627	+	1.11449i	0.938294	+	0.345839i	$0.112406\pi$
$373$	5.76745	+	21.5244i	0.298627	+	1.11449i	−0.639667	+	0.768652i	$0.720928\pi$
$374$	1.70954	+	2.96101i	0.0883981	+	0.153110i
$375$	−20.3492	+	0.149180i	−1.05083	+	0.00770363i
$376$			7.27511i			0.375185i
$377$	−1.46906	+	5.76130i	−0.0756607	+	0.296722i
$378$	10.2877	−	10.2877i	0.529144	−	0.529144i
$379$	20.0557	+	5.37390i	1.03019	+	0.276039i	0.734043	−	0.679103i	$-0.237631\pi$
$379$	20.0557	+	5.37390i	1.03019	+	0.276039i	0.296148	+	0.955142i	$0.404298\pi$
$380$	−4.27538	−	11.6578i	−0.219322	−	0.598032i
$381$	−31.7701	−	18.3425i	−1.62763	−	0.939713i
$382$		−	22.3944i		−	1.14580i
$383$	7.07815	−	12.2597i	0.361677	−	0.626442i	−0.626560	−	0.779373i	$-0.715538\pi$
$383$	7.07815	−	12.2597i	0.361677	−	0.626442i	0.988237	+	0.152931i	$0.0488711\pi$
$384$	1.75811	−	0.471085i	0.0897183	−	0.0240400i
$385$	−31.2871	−	5.43796i	−1.59454	−	0.277144i
$386$	−2.70097	+	4.67821i	−0.137476	+	0.238115i
$387$	1.87901	+	0.503479i	0.0955155	+	0.0255933i
$388$	−5.43581	+	3.13837i	−0.275962	+	0.159327i
$389$	8.19911			0.415711			0.207856	−	0.978160i	$-0.433352\pi$
$389$	8.19911			0.415711			0.207856	+	0.978160i	$0.433352\pi$
$390$	−14.5983	+	1.49188i	−0.739216	+	0.0755442i
$391$	6.32758			0.320000
$392$	−1.60121	+	0.924461i	−0.0808735	+	0.0466923i
$393$	−8.52768	−	2.28499i	−0.430165	−	0.115262i
$394$	−0.432744	+	0.749534i	−0.0218013	+	0.0377610i
$395$	−1.78769	+	1.25828i	−0.0899486	+	0.0633108i
$396$	1.44286	−	0.386612i	0.0725062	−	0.0194280i
$397$	8.51329	−	14.7455i	0.427270	−	0.740053i	−0.569359	−	0.822089i	$-0.692809\pi$
$397$	8.51329	−	14.7455i	0.427270	−	0.740053i	0.996629	+	0.0820354i	$0.0261421\pi$
$398$		−	12.3592i		−	0.619509i
$399$	−26.0383	−	15.0332i	−1.30354	−	0.752602i
$400$	4.91974	−	0.892296i	0.245987	−	0.0446148i
$401$	−36.2183	−	9.70467i	−1.80866	−	0.484628i	−0.813382	−	0.581730i	$-0.802376\pi$
$401$	−36.2183	−	9.70467i	−1.80866	−	0.484628i	−0.995274	+	0.0971018i	$0.969043\pi$
$402$	0.441347	−	0.441347i	0.0220124	−	0.0220124i
$403$	−14.9513	+	0.181390i	−0.744779	+	0.00903567i
$404$		−	8.13123i		−	0.404544i
$405$	−9.25078	+	19.9656i	−0.459675	+	0.992098i
$406$	−2.45269	−	4.24819i	−0.121725	−	0.210834i
$407$	−1.36787	−	5.10496i	−0.0678027	−	0.253043i
$408$	−1.30351			−0.0645333
$409$	3.56898	+	13.3196i	0.176475	+	0.658613i	0.996296	+	0.0859931i	$0.0274063\pi$
$409$	3.56898	+	13.3196i	0.176475	+	0.658613i	−0.819821	+	0.572620i	$0.805927\pi$
$410$	−8.07450	+	9.67071i	−0.398771	+	0.477602i
$411$	26.9351	−	26.9351i	1.32861	−	1.32861i
$412$	3.62916	−	0.972430i	0.178796	−	0.0479082i
$413$	−1.37585	+	5.13474i	−0.0677011	+	0.252664i
$414$	0.715491	−	2.67025i	0.0351645	−	0.131236i
$415$	2.57173	+	3.65378i	0.126241	+	0.179357i
$416$	3.47112	−	0.975366i	0.170186	−	0.0478212i
$417$	11.9643	+	11.9643i	0.585894	+	0.585894i
$418$	13.2557	+	22.9595i	0.648356	+	1.12298i
$419$	13.7355	−	7.93019i	0.671022	−	0.387415i	−0.125441	−	0.992101i	$-0.540035\pi$
$419$	13.7355	−	7.93019i	0.671022	−	0.387415i	0.796464	+	0.604686i	$0.206701\pi$
$420$	7.75948	−	9.29342i	0.378624	−	0.453472i
$421$	5.86125	+	5.86125i	0.285660	+	0.285660i	0.835361	−	0.549701i	$-0.185259\pi$
$421$	5.86125	+	5.86125i	0.285660	+	0.285660i	−0.549701	+	0.835361i	$0.685259\pi$
$422$	−16.1600	−	9.32996i	−0.786654	−	0.454175i
$423$	−1.97129	−	1.13813i	−0.0958476	−	0.0553376i
$424$	3.61132	+	3.61132i	0.175381	+	0.175381i
$425$	−3.56866	−	0.294650i	−0.173106	−	0.0142926i
$426$	6.59302	−	3.80648i	0.319433	−	0.184425i
$427$	10.3298	+	17.8918i	0.499896	+	0.865845i
$428$	11.9292	+	11.9292i	0.576619	+	0.576619i
$429$	30.1627	−	8.47556i	1.45627	−	0.409204i
$430$	−13.6970	−	2.38066i	−0.660530	−	0.114806i
$431$	−4.27805	+	15.9659i	−0.206066	+	0.769050i	0.783056	+	0.621952i	$0.213660\pi$
$431$	−4.27805	+	15.9659i	−0.206066	+	0.769050i	−0.989122	+	0.147098i	$0.953007\pi$
$432$	1.26586	−	4.72426i	0.0609038	−	0.227296i
$433$	−22.5610	+	6.04520i	−1.08421	+	0.290514i	−0.756320	−	0.654202i	$-0.773005\pi$
$433$	−22.5610	+	6.04520i	−1.08421	+	0.290514i	−0.327892	+	0.944715i	$0.606338\pi$
$434$	8.72309	−	8.72309i	0.418722	−	0.418722i
$435$	5.15179	+	4.30145i	0.247009	+	0.206239i
$436$	5.06196	+	18.8915i	0.242424	+	0.904738i
$437$	49.0637			2.34704
$438$	−3.98058	−	14.8557i	−0.190200	−	0.709834i
$439$	−6.31401	−	10.9362i	−0.301351	−	0.521956i	0.675091	−	0.737735i	$-0.264104\pi$
$439$	−6.31401	−	10.9362i	−0.301351	−	0.521956i	−0.976442	+	0.215779i	$0.930771\pi$
$440$	−10.0226	+	3.67569i	−0.477809	+	0.175232i
$441$		−	0.578495i		−	0.0275474i
$442$	−2.58197	+	0.0313245i	−0.122812	+	0.00148995i
$443$	3.51980	−	3.51980i	0.167231	−	0.167231i	−0.618530	−	0.785761i	$-0.712272\pi$
$443$	3.51980	−	3.51980i	0.167231	−	0.167231i	0.785761	+	0.618530i	$0.212272\pi$
$444$	1.94624	+	0.521494i	0.0923646	+	0.0247490i
$445$	−30.3340	+	11.1247i	−1.43797	+	0.527361i
$446$	3.53924	+	2.04338i	0.167588	+	0.0967568i
$447$			6.18678i			0.292625i
$448$	−1.48736	+	2.57618i	−0.0702710	+	0.121713i
$449$	−2.71477	+	0.727422i	−0.128118	+	0.0343291i	−0.322308	−	0.946635i	$-0.604459\pi$
$449$	−2.71477	+	0.727422i	−0.128118	+	0.0343291i	0.194190	+	0.980964i	$0.437792\pi$
$450$	−0.527869	+	1.47266i	−0.0248840	+	0.0694220i
$451$	13.4493	−	23.2948i	0.633302	−	1.09691i
$452$	11.4061	+	3.05624i	0.536496	+	0.143754i
$453$	12.2087	−	7.04868i	0.573614	−	0.331176i
$454$	−6.96026			−0.326661
$455$	15.1465	−	18.5947i	0.710080	−	0.871733i
$456$	−10.1073			−0.473319
$457$	−25.7310	+	14.8558i	−1.20365	+	0.694926i	−0.961364	−	0.275280i	$-0.911229\pi$
$457$	−25.7310	+	14.8558i	−1.20365	+	0.694926i	−0.242283	+	0.970206i	$0.577896\pi$
$458$	−21.6763	−	5.80815i	−1.01287	−	0.271397i
$459$	−1.75134	+	3.03341i	−0.0817456	+	0.141587i
$460$	−3.38314	+	19.4648i	−0.157740	+	0.907550i
$461$	−20.7269	+	5.55376i	−0.965349	+	0.258664i	−0.706863	−	0.707351i	$-0.749890\pi$
$461$	−20.7269	+	5.55376i	−0.965349	+	0.258664i	−0.258486	+	0.966015i	$0.583224\pi$
$462$	−12.9246	+	22.3860i	−0.601306	+	1.04149i
$463$		−	28.3191i		−	1.31610i	−0.752974	−	0.658050i	$-0.771381\pi$
$463$		−	28.3191i		−	1.31610i	0.752974	−	0.658050i	$-0.228619\pi$
$464$	−1.42810	−	0.824513i	−0.0662978	−	0.0382771i
$465$	−7.09567	+	15.3143i	−0.329054	+	0.710184i
$466$	13.5601	+	3.63343i	0.628161	+	0.168315i
$467$	0.501361	−	0.501361i	0.0232002	−	0.0232002i	−0.695412	−	0.718612i	$-0.744778\pi$
$467$	0.501361	−	0.501361i	0.0232002	−	0.0232002i	0.718612	+	0.695412i	$0.244778\pi$
$468$	−0.278737	+	1.09314i	−0.0128846	+	0.0505302i
$469$			1.02009i			0.0471033i
$470$	14.7603	+	6.83896i	0.680840	+	0.315458i
$471$	14.6704	+	25.4099i	0.675977	+	1.17083i
$472$	0.462515	+	1.72613i	0.0212890	+	0.0794515i
$473$	29.6826			1.36481
$474$	0.460562	+	1.71884i	0.0211543	+	0.0789489i
$475$	−27.6712	−	2.28470i	−1.26964	−	0.104829i
$476$	1.50640	−	1.50640i	0.0690458	−	0.0690458i
$477$	−1.54350	+	0.413579i	−0.0706719	+	0.0189365i
$478$	0.497737	−	1.85758i	0.0227660	−	0.0849637i
$479$	10.8615	−	40.5357i	0.496275	−	1.85212i	−0.0264917	−	0.999649i	$-0.508434\pi$
$479$	10.8615	−	40.5357i	0.496275	−	1.85212i	0.522767	−	0.852476i	$-0.324900\pi$
$480$	0.696941	−	4.00982i	0.0318109	−	0.183023i
$481$	3.86761	+	0.986196i	0.176348	+	0.0449667i
$482$	16.7629	+	16.7629i	0.763527	+	0.763527i
$483$	23.9191	+	41.4291i	1.08836	+	1.88509i
$484$	10.2128	−	5.89636i	0.464218	−	0.268016i
$485$	1.25741	+	13.9788i	0.0570961	+	0.634743i
$486$	2.29014	+	2.29014i	0.103883	+	0.103883i
$487$	10.0070	+	5.77755i	0.453461	+	0.261806i	0.709291	−	0.704916i	$-0.249015\pi$
$487$	10.0070	+	5.77755i	0.453461	+	0.261806i	−0.255830	+	0.966722i	$0.582349\pi$
$488$	6.01463	+	3.47255i	0.272269	+	0.157195i
$489$	2.72345	+	2.72345i	0.123159	+	0.123159i
$490$	0.370393	+	4.11769i	0.0167326	+	0.186018i
$491$	10.3312	−	5.96472i	0.466240	−	0.269184i	−0.248424	−	0.968651i	$-0.579913\pi$
$491$	10.3312	−	5.96472i	0.466240	−	0.269184i	0.714664	+	0.699467i	$0.246579\pi$
$492$	5.12748	+	8.88106i	0.231165	+	0.400389i
$493$	0.835071	+	0.835071i	0.0376097	+	0.0376097i
$494$	−20.0204	+	0.242888i	−0.900761	+	0.0109281i
$495$	0.571968	−	3.29080i	0.0257081	−	0.147910i
$496$	1.07334	−	4.00575i	0.0481943	−	0.179864i
$497$	−3.22027	+	12.0182i	−0.144449	+	0.539090i
$498$	3.51305	−	0.941320i	0.157424	−	0.0421816i
$499$	−0.0460683	+	0.0460683i	−0.00206230	+	0.00206230i	−0.708137	−	0.706075i	$-0.750464\pi$
$499$	−0.0460683	+	0.0460683i	−0.00206230	+	0.00206230i	0.706075	+	0.708137i	$0.250464\pi$
$500$	2.81444	−	10.8203i	0.125866	−	0.483899i
$501$	1.71892	+	6.41509i	0.0767956	+	0.286605i
$502$	−20.6152			−0.920100
$503$	1.45881	+	5.44435i	0.0650451	+	0.242752i	0.990792	−	0.135392i	$-0.0432293\pi$
$503$	1.45881	+	5.44435i	0.0650451	+	0.242752i	−0.925747	+	0.378143i	$0.876563\pi$
$504$	−0.465368	−	0.806040i	−0.0207291	−	0.0359039i
$505$	−16.4972	−	7.64375i	−0.734116	−	0.340142i
$506$		−	42.1818i		−	1.87521i
$507$	−5.56782	+	22.9973i	−0.247275	+	1.02135i
$508$	14.2518	−	14.2518i	0.632321	−	0.632321i
$509$	−29.4270	−	7.88493i	−1.30433	−	0.349493i	−0.461242	−	0.887274i	$-0.652596\pi$
$509$	−29.4270	−	7.88493i	−1.30433	−	0.349493i	−0.843085	+	0.537781i	$0.819263\pi$
$510$	−1.22536	+	2.64465i	−0.0542599	+	0.117107i
$511$	21.7682	+	12.5679i	0.962970	+	0.555971i
$512$			1.00000i			0.0441942i
$513$	−13.5798	+	23.5209i	−0.599563	+	1.03847i
$514$	3.39680	−	0.910170i	0.149826	−	0.0401459i
$515$	1.43865	−	8.27722i	0.0633945	−	0.364738i
$516$	−5.65819	+	9.80027i	−0.249088	+	0.431433i
$517$	−33.5492	−	8.98947i	−1.47549	−	0.395356i
$518$	−2.85185	+	1.64651i	−0.125303	+	0.0723437i
$519$	−17.6918			−0.776584
$520$	1.28413	−	7.95933i	0.0563128	−	0.349040i
$521$	−3.27918			−0.143664			−0.0718318	−	0.997417i	$-0.522884\pi$
$521$	−3.27918			−0.143664			−0.0718318	+	0.997417i	$0.522884\pi$
$522$	0.446827	−	0.257976i	0.0195571	−	0.0112913i
$523$	16.4176	+	4.39908i	0.717891	+	0.192358i	0.599230	−	0.800577i	$-0.295473\pi$
$523$	16.4176	+	4.39908i	0.717891	+	0.192358i	0.118660	+	0.992935i	$0.462140\pi$
$524$	2.42524	−	4.20063i	0.105947	−	0.183506i
$525$	−11.5608	−	24.4792i	−0.504556	−	1.06836i
$526$	−17.7716	+	4.76188i	−0.774877	+	0.207628i
$527$	−1.48498	+	2.57206i	−0.0646868	+	0.112041i
$528$			8.68962i			0.378167i
$529$	−47.6873	−	27.5323i	−2.07336	−	1.19706i
$530$	10.7217	−	3.93208i	0.465721	−	0.170799i
$531$	−0.540075	−	0.144713i	−0.0234373	−	0.00627999i
$532$	11.6806	−	11.6806i	0.506416	−	0.506416i
$533$	10.3698	+	17.4682i	0.449168	+	0.756633i
$534$			26.2996i			1.13810i
$535$	35.4168	−	12.9887i	1.53120	−	0.561553i
$536$	0.171460	+	0.296977i	0.00740594	+	0.0128275i
$537$	−4.55200	−	16.9883i	−0.196433	−	0.733098i
$538$	−5.91563			−0.255041
$539$	−2.28461	−	8.52630i	−0.0984053	−	0.367254i
$540$	−8.39493	−	7.00929i	−0.361260	−	0.301632i
$541$	0.164777	−	0.164777i	0.00708430	−	0.00708430i	−0.703556	−	0.710640i	$-0.748405\pi$
$541$	0.164777	−	0.164777i	0.00708430	−	0.00708430i	0.710640	+	0.703556i	$0.248405\pi$
$542$	15.3007	−	4.09982i	0.657222	−	0.176102i
$543$	−5.64205	+	21.0564i	−0.242123	+	0.903617i
$544$	0.185356	−	0.691759i	0.00794708	−	0.0296589i
$545$	43.0868	+	7.48885i	1.84564	+	0.320787i
$546$	−9.96528	−	16.7867i	−0.426474	−	0.718405i
$547$	−15.2293	−	15.2293i	−0.651156	−	0.651156i	0.302115	−	0.953271i	$-0.402307\pi$
$547$	−15.2293	−	15.2293i	−0.651156	−	0.651156i	−0.953271	+	0.302115i	$0.902307\pi$
$548$	10.4641	+	18.1243i	0.447002	+	0.774231i
$549$	−1.88187	+	1.08650i	−0.0803162	+	0.0463706i
$550$	−1.96424	+	23.7899i	−0.0837554	+	1.01440i
$551$	6.47509	+	6.47509i	0.275848	+	0.275848i
$552$	13.9271	+	8.04081i	0.592777	+	0.342240i
$553$	−2.51863	−	1.45413i	−0.107103	−	0.0618360i
$554$	−9.49540	−	9.49540i	−0.403421	−	0.403421i
$555$	2.88761	−	3.45844i	0.122572	−	0.146803i
$556$	−8.05062	+	4.64803i	−0.341423	+	0.197120i
$557$	−16.8160	−	29.1262i	−0.712517	−	1.23412i	−0.963909	−	0.266231i	$-0.914222\pi$
$557$	−16.8160	−	29.1262i	−0.712517	−	1.23412i	0.251392	−	0.967885i	$-0.419112\pi$
$558$	0.917500	+	0.917500i	0.0388409	+	0.0388409i
$559$	−10.9721	+	19.5482i	−0.464072	+	0.826800i
$560$	3.82854	+	5.43938i	0.161785	+	0.229856i
$561$	1.61068	−	6.01112i	0.0680028	−	0.253790i
$562$	−5.60030	+	20.9006i	−0.236234	+	0.881638i
$563$	28.7280	−	7.69764i	1.21074	−	0.324417i	0.403688	−	0.914897i	$-0.367728\pi$
$563$	28.7280	−	7.69764i	1.21074	−	0.324417i	0.807052	+	0.590480i	$0.201062\pi$
$564$	9.36328	−	9.36328i	0.394265	−	0.394265i
$565$	16.9230	−	20.2684i	0.711954	−	0.852697i
$566$	2.13914	+	7.98338i	0.0899147	+	0.335566i
$567$	−29.2734			−1.22937
$568$	1.08255	+	4.04012i	0.0454227	+	0.169520i
$569$	5.27803	+	9.14181i	0.221266	+	0.383245i	0.955193	−	0.295984i	$-0.0956476\pi$
$569$	5.27803	+	9.14181i	0.221266	+	0.383245i	−0.733926	+	0.679229i	$0.762314\pi$
$570$	−9.50138	+	20.5064i	−0.397969	+	0.858921i
$571$		−	4.93527i		−	0.206534i	−0.994654	−	0.103267i	$-0.967070\pi$
$571$		−	4.93527i		−	0.206534i	0.994654	−	0.103267i	$-0.0329297\pi$
$572$	0.208819	+	17.2123i	0.00873118	+	0.719680i
$573$	−28.8222	+	28.8222i	−1.20406	+	1.20406i
$574$	−16.1890	−	4.33783i	−0.675716	−	0.181057i
$575$	36.3112	+	25.1618i	1.51428	+	1.04932i
$576$	−0.270964	−	0.156441i	−0.0112902	−	0.00651838i
$577$			10.5643i			0.439799i	0.975523	+	0.219900i	$0.0705730\pi$
$577$			10.5643i			0.439799i	−0.975523	+	0.219900i	$0.929427\pi$
$578$	8.24356	−	14.2783i	0.342887	−	0.593897i
$579$	9.49721	−	2.54477i	0.394691	−	0.105757i
$580$	−3.01531	+	2.12234i	−0.125204	+	0.0881255i
$581$	−2.97203	+	5.14771i	−0.123301	+	0.213563i
$582$	11.0352	+	2.95688i	0.457424	+	0.122566i
$583$	−21.1159	+	12.1913i	−0.874531	+	0.504911i
$584$	8.44982			0.349656
$585$	1.95580	+	1.59312i	0.0808625	+	0.0658674i
$586$	6.91240			0.285549
$587$	−18.5591	+	10.7151i	−0.766018	+	0.442261i	−0.831452	−	0.555596i	$-0.812490\pi$
$587$	−18.5591	+	10.7151i	−0.766018	+	0.442261i	0.0654343	+	0.997857i	$0.479157\pi$
$588$	3.25061	+	0.871000i	0.134053	+	0.0359194i
$589$	−11.5145	+	19.9436i	−0.474445	+	0.821763i
$590$	3.93687	+	0.684262i	0.162079	+	0.0281706i
$591$	1.52163	−	0.407718i	0.0625913	−	0.0167713i
$592$	−0.553503	+	0.958696i	−0.0227488	+	0.0394022i
$593$		−	28.6088i		−	1.17482i	−0.809289	−	0.587411i	$-0.800147\pi$
$593$		−	28.6088i		−	1.17482i	0.809289	−	0.587411i	$-0.199853\pi$
$594$	20.2217	+	11.6750i	0.829708	+	0.479032i
$595$	−1.64020	−	4.47238i	−0.0672417	−	0.183350i
$596$	−3.28326	−	0.879747i	−0.134488	−	0.0360358i
$597$	−15.9066	+	15.9066i	−0.651013	+	0.651013i
$598$	27.7798	+	15.5924i	1.13600	+	0.637622i
$599$			8.90164i			0.363711i	0.983325	+	0.181856i	$0.0582103\pi$
$599$			8.90164i			0.363711i	−0.983325	+	0.181856i	$0.941790\pi$
$600$	−7.48025	−	5.18343i	−0.305380	−	0.211613i
$601$	−4.27758	−	7.40899i	−0.174486	−	0.302219i	0.765497	−	0.643439i	$-0.222493\pi$
$601$	−4.27758	−	7.40899i	−0.174486	−	0.302219i	−0.939983	+	0.341220i	$0.889160\pi$
$602$	−4.78681	−	17.8646i	−0.195096	−	0.728107i
$603$	−0.107294			−0.00436933
$604$	2.00462	+	7.48133i	0.0815667	+	0.304411i
$605$	−2.36242	−	26.2633i	−0.0960461	−	1.06775i
$606$	−10.4651	+	10.4651i	−0.425116	+	0.425116i
$607$	30.5815	−	8.19429i	1.24126	−	0.332596i	0.422309	−	0.906452i	$-0.361220\pi$
$607$	30.5815	−	8.19429i	1.24126	−	0.332596i	0.818956	+	0.573856i	$0.194553\pi$
$608$	1.43724	−	5.36386i	0.0582878	−	0.217533i
$609$	−2.31085	+	8.62422i	−0.0936404	+	0.349471i
$610$	12.6994	−	8.93853i	0.514183	−	0.361910i
$611$	18.3216	−	18.7716i	0.741213	−	0.759418i
$612$	0.158444	+	0.158444i	0.00640473	+	0.00640473i
$613$	−5.35920	−	9.28240i	−0.216456	−	0.374913i	0.737266	−	0.675603i	$-0.236116\pi$
$613$	−5.35920	−	9.28240i	−0.216456	−	0.374913i	−0.953722	+	0.300690i	$0.902783\pi$
$614$	1.14275	−	0.659768i	0.0461177	−	0.0266261i
$615$	22.8386	−	2.05437i	0.920940	−	0.0828400i
$616$	−10.0422	−	10.0422i	−0.404611	−	0.404611i
$617$	−24.8237	−	14.3319i	−0.999363	−	0.576982i	−0.0913030	−	0.995823i	$-0.529103\pi$
$617$	−24.8237	−	14.3319i	−0.999363	−	0.576982i	−0.908060	+	0.418841i	$0.862437\pi$
$618$	−5.92237	−	3.41928i	−0.238233	−	0.137544i
$619$	31.3118	+	31.3118i	1.25853	+	1.25853i	0.951796	+	0.306732i	$0.0992356\pi$
$619$	31.3118	+	31.3118i	1.25853	+	1.25853i	0.306732	+	0.951796i	$0.400764\pi$
$620$	−7.11815	−	5.94326i	−0.285872	−	0.238687i
$621$	37.4238	−	21.6066i	1.50176	−	0.867044i
$622$	11.0781	+	19.1878i	0.444190	+	0.769359i
$623$	−30.3932	−	30.3932i	−1.21768	−	1.21768i
$624$	−5.72275	−	3.21210i	−0.229093	−	0.128587i
$625$	−19.3073	−	15.8817i	−0.772291	−	0.635269i
$626$	−1.04402	+	3.89632i	−0.0417273	+	0.155728i
$627$	12.4891	−	46.6099i	0.498766	−	1.86142i
$628$	−15.5709	+	4.17220i	−0.621345	+	0.166489i
$629$	0.560591	−	0.560591i	0.0223522	−	0.0223522i
$630$	−2.07282	+	0.186453i	−0.0825830	+	0.00742847i
$631$	−7.06716	−	26.3750i	−0.281339	−	1.04997i	−0.951473	−	0.307732i	$-0.900430\pi$
$631$	−7.06716	−	26.3750i	−0.281339	−	1.04997i	0.670134	−	0.742240i	$-0.266237\pi$
$632$	−0.977662			−0.0388893
$633$	8.79040	+	32.8062i	0.349387	+	1.30393i
$634$	5.87526	+	10.1763i	0.233337	+	0.404151i
$635$	−15.5177	−	42.3124i	−0.615800	−	1.67912i
$636$		−	9.29574i		−	0.368600i
$637$	6.45969	+	1.64715i	0.255942	+	0.0652623i
$638$	5.56686	−	5.56686i	0.220394	−	0.220394i
$639$	−1.26408	−	0.338710i	−0.0500063	−	0.0133991i
$640$	2.02887	+	0.940048i	0.0801981	+	0.0371587i
$641$	14.0807	+	8.12949i	0.556153	+	0.321095i	0.751600	−	0.659619i	$-0.229282\pi$
$641$	14.0807	+	8.12949i	0.556153	+	0.321095i	−0.195447	+	0.980714i	$0.562616\pi$
$642$		−	30.7064i		−	1.21188i
$643$	−5.38674	+	9.33011i	−0.212432	+	0.367944i	−0.952475	−	0.304616i	$-0.901472\pi$
$643$	−5.38674	+	9.33011i	−0.212432	+	0.367944i	0.740043	+	0.672560i	$0.234805\pi$
$644$	−25.3873	+	6.80250i	−1.00040	+	0.268056i
$645$	14.5645	+	20.6925i	0.573477	+	0.814765i
$646$	−1.98845	+	3.44409i	−0.0782344	+	0.135506i
$647$	3.67094	+	0.983625i	0.144319	+	0.0386703i	0.330256	−	0.943892i	$-0.392865\pi$
$647$	3.67094	+	0.983625i	0.144319	+	0.0386703i	−0.185936	+	0.982562i	$0.559532\pi$
$648$	−8.52234	+	4.92038i	−0.334789	+	0.193291i
$649$	−8.53154			−0.334892
$650$	−14.9413	−	10.0875i	−0.586046	−	0.395664i
$651$	−22.4537			−0.880031
$652$	−1.83258	+	1.05804i	−0.0717692	+	0.0414360i
$653$	−39.0658	−	10.4676i	−1.52876	−	0.409630i	−0.606146	−	0.795353i	$-0.707285\pi$
$653$	−39.0658	−	10.4676i	−1.52876	−	0.409630i	−0.922615	+	0.385723i	$0.873952\pi$
$654$	17.7990	−	30.8287i	0.695995	−	1.20550i
$655$	−6.24270	−	8.86929i	−0.243922	−	0.346552i
$656$	−5.44220	+	1.45823i	−0.212482	+	0.0569345i
$657$	−1.32190	+	2.28960i	−0.0515722	+	0.0893256i
$658$			21.6414i			0.843669i
$659$	−28.8125	−	16.6349i	−1.12238	−	0.648004i	−0.180370	−	0.983599i	$-0.557729\pi$
$659$	−28.8125	−	16.6349i	−1.12238	−	0.648004i	−0.942007	+	0.335595i	$0.891063\pi$
$660$	17.6301	+	8.16867i	0.686251	+	0.317965i
$661$	20.2077	+	5.41463i	0.785987	+	0.210605i	0.629422	−	0.777063i	$-0.283292\pi$
$661$	20.2077	+	5.41463i	0.785987	+	0.210605i	0.156564	+	0.987668i	$0.449958\pi$
$662$	−3.55016	+	3.55016i	−0.137981	+	0.137981i
$663$	3.36338	+	3.28275i	0.130623	+	0.127491i
$664$			1.99820i			0.0775451i
$665$	−12.7180	−	34.6786i	−0.493184	−	1.34478i
$666$	−0.173181	−	0.299959i	−0.00671064	−	0.0116232i
$667$	−3.77095	−	14.0734i	−0.146012	−	0.544924i
$668$	−3.64885			−0.141178
$669$	−1.92521	−	7.18498i	−0.0744329	−	0.277788i
$670$	0.763709	−	0.0686968i	0.0295046	−	0.00265399i
$671$	−23.4456	+	23.4456i	−0.905107	+	0.905107i
$672$	5.22988	−	1.40134i	0.201747	−	0.0540580i
$673$	4.83977	−	18.0623i	0.186560	−	0.696250i	−0.807732	−	0.589550i	$-0.799305\pi$
$673$	4.83977	−	18.0623i	0.186560	−	0.696250i	0.994291	−	0.106700i	$-0.0340283\pi$
$674$	9.14296	−	34.1220i	0.352174	−	1.31433i
$675$	−22.1126	+	10.4431i	−0.851113	+	0.401956i
$676$	−11.4127	−	6.22495i	−0.438950	−	0.239421i
$677$	−17.3595	−	17.3595i	−0.667180	−	0.667180i	0.289882	−	0.957062i	$-0.406384\pi$
$677$	−17.3595	−	17.3595i	−0.667180	−	0.667180i	−0.957062	+	0.289882i	$0.906384\pi$
$678$	−10.7464	−	18.6134i	−0.412715	−	0.714843i
$679$	−16.1700	+	9.33575i	−0.620547	+	0.358273i
$680$	−1.22924	−	1.02635i	−0.0471394	−	0.0393587i
$681$	8.95806	+	8.95806i	0.343273	+	0.343273i
$682$	17.1462	+	9.89938i	0.656563	+	0.379067i
$683$	19.3655	+	11.1806i	0.740998	+	0.427816i	0.822432	−	0.568863i	$-0.192617\pi$
$683$	19.3655	+	11.1806i	0.740998	+	0.427816i	−0.0814338	+	0.996679i	$0.525950\pi$
$684$	1.22857	+	1.22857i	0.0469755	+	0.0469755i
$685$	46.6085	−	4.19251i	1.78082	−	0.160187i
$686$	13.2701	−	7.66149i	0.506654	−	0.292517i
$687$	20.4228	+	35.3733i	0.779177	+	1.34957i
$688$	−4.39632	−	4.39632i	−0.167608	−	0.167608i
$689$	−0.223385	−	18.4128i	−0.00851029	−	0.701473i
$690$	29.4059	−	20.6975i	1.11946	−	0.787941i
$691$	−2.71093	+	10.1173i	−0.103129	+	0.384882i	−0.998126	−	0.0611897i	$-0.980511\pi$
$691$	−2.71093	+	10.1173i	−0.103129	+	0.384882i	0.894997	+	0.446071i	$0.147177\pi$
$692$	2.51574	−	9.38886i	0.0956340	−	0.356911i
$693$	4.29208	−	1.15006i	0.163043	−	0.0436872i
$694$	−7.11735	+	7.11735i	−0.270171	+	0.270171i
$695$	1.86227	+	20.7030i	0.0706399	+	0.785311i
$696$	0.776832	+	2.89918i	0.0294457	+	0.109893i
$697$	4.03498			0.152836
$698$	8.39441	+	31.3284i	0.317733	+	1.18580i
$699$	−12.7760	−	22.1286i	−0.483231	−	0.836980i
$700$	14.6348	−	2.65432i	0.553144	−	0.100324i
$701$			0.223233i			0.00843141i	0.999991	+	0.00421570i	$0.00134190\pi$
$701$			0.223233i			0.00843141i	−0.999991	+	0.00421570i	$0.998658\pi$
$702$	−15.1638	+	9.00183i	−0.572320	+	0.339752i
$703$	4.34679	−	4.34679i	0.163942	−	0.163942i
$704$	−4.61150	−	1.23565i	−0.173802	−	0.0465702i
$705$	−10.1949	−	27.7988i	−0.383963	−	1.04696i
$706$	−23.9349	−	13.8188i	−0.900801	−	0.520078i
$707$		−	24.1881i		−	0.909686i
$708$	1.62631	−	2.81684i	0.0611203	−	0.105864i
$709$	33.8420	−	9.06793i	1.27096	−	0.340553i	0.440563	−	0.897722i	$-0.354779\pi$
$709$	33.8420	−	9.06793i	1.27096	−	0.340553i	0.830399	+	0.557169i	$0.188112\pi$
$710$	9.21452	+	1.60156i	0.345815	+	0.0601055i
$711$	0.152946	−	0.264911i	0.00573594	−	0.00993494i
$712$	−13.9569	−	3.73975i	−0.523059	−	0.140153i
$713$	31.7320	−	18.3205i	1.18837	−	0.686108i
$714$	−3.87756			−0.145114
$715$	35.1177	+	15.7567i	1.31333	+	0.589266i
$716$	9.66279			0.361115
$717$	−3.03136	+	1.75016i	−0.113208	+	0.0653607i
$718$	14.0713	+	3.77039i	0.525136	+	0.140710i
$719$	−14.7459	+	25.5406i	−0.549929	+	0.952505i	0.448350	+	0.893858i	$0.352012\pi$
$719$	−14.7459	+	25.5406i	−0.549929	+	0.952505i	−0.998279	+	0.0586471i	$0.981321\pi$
$720$	−0.572118	+	0.402688i	−0.0213216	+	0.0150073i
$721$	10.7957	−	2.89270i	0.402053	−	0.107730i
$722$	−5.91832	+	10.2508i	−0.220257	+	0.381496i
$723$		−	43.1485i		−	1.60471i
$724$	−10.3721	−	5.98836i	−0.385477	−	0.222556i
$725$	1.47142	+	8.11278i	0.0546471	+	0.301301i
$726$	−20.7329	−	5.55537i	−0.769471	−	0.206179i
$727$	−32.6186	+	32.6186i	−1.20976	+	1.20976i	−0.238651	+	0.971105i	$0.576705\pi$
$727$	−32.6186	+	32.6186i	−1.20976	+	1.20976i	−0.971105	+	0.238651i	$0.923295\pi$
$728$	10.3256	−	2.90143i	0.382692	−	0.107534i
$729$			23.6273i			0.875086i
$730$	7.94323	−	17.1436i	0.293992	−	0.634512i
$731$	2.22631	+	3.85608i	0.0823430	+	0.142622i
$732$	−3.27173	−	12.2103i	−0.120927	−	0.451304i
$733$	−20.9748			−0.774723			−0.387362	−	0.921928i	$-0.626614\pi$
$733$	−20.9748			−0.774723			−0.387362	+	0.921928i	$0.626614\pi$
$734$	0.824064	+	3.07545i	0.0304167	+	0.113517i
$735$	4.82288	−	5.77629i	0.177895	−	0.213062i
$736$	−6.24758	+	6.24758i	−0.230289	+	0.230289i
$737$	−1.58137	+	0.423728i	−0.0582506	+	0.0156082i
$738$	0.456256	−	1.70277i	0.0167950	−	0.0626798i
$739$	−1.37377	+	5.12699i	−0.0505351	+	0.188599i	−0.986579	−	0.163283i	$-0.947792\pi$
$739$	−1.37377	+	5.12699i	−0.0505351	+	0.188599i	0.936044	+	0.351882i	$0.114458\pi$
$740$	1.42475	+	2.02421i	0.0523748	+	0.0744113i
$741$	26.0794	+	25.4542i	0.958052	+	0.935085i
$742$	10.7426	+	10.7426i	0.394375	+	0.394375i
$743$	−10.2206	−	17.7026i	−0.374957	−	0.649445i	0.615364	−	0.788243i	$-0.289009\pi$
$743$	−10.2206	−	17.7026i	−0.374957	−	0.649445i	−0.990321	+	0.138799i	$0.955676\pi$
$744$	−6.53693	+	3.77410i	−0.239655	+	0.138365i
$745$	−4.87131	+	5.83430i	−0.178471	+	0.213752i
$746$	15.7570	+	15.7570i	0.576903	+	0.576903i
$747$	−0.541439	−	0.312600i	−0.0198102	−	0.0114374i
$748$	2.96101	+	1.70954i	0.108265	+	0.0625069i
$749$	35.4859	+	35.4859i	1.29663	+	1.29663i
$750$	−17.5483	+	10.3038i	−0.640773	+	0.376240i
$751$	−8.46145	+	4.88522i	−0.308763	+	0.178264i	−0.646373	−	0.763022i	$-0.723715\pi$
$751$	−8.46145	+	4.88522i	−0.308763	+	0.178264i	0.337610	+	0.941286i	$0.390381\pi$
$752$	3.63756	+	6.30043i	0.132648	+	0.229753i
$753$	26.5323	+	26.5323i	0.966890	+	0.966890i
$754$	1.60840	+	5.72397i	0.0585746	+	0.208455i
$755$	17.0631	+	2.96571i	0.620989	+	0.107933i
$756$	3.76557	−	14.0533i	0.136953	−	0.511114i
$757$	−4.16849	+	15.5570i	−0.151506	+	0.565430i	0.847873	+	0.530200i	$0.177883\pi$
$757$	−4.16849	+	15.5570i	−0.151506	+	0.565430i	−0.999379	+	0.0352300i	$0.988784\pi$
$758$	20.0557	−	5.37390i	0.728455	−	0.195189i
$759$	−54.2891	+	54.2891i	−1.97057	+	1.97057i
$760$	−9.53149	−	7.95826i	−0.345743	−	0.288676i
$761$	−3.20377	−	11.9566i	−0.116137	−	0.433428i	0.883233	−	0.468935i	$-0.155362\pi$
$761$	−3.20377	−	11.9566i	−0.116137	−	0.433428i	−0.999369	+	0.0355069i	$0.988695\pi$
$762$	−36.6849			−1.32896
$763$	15.0579	+	56.1968i	0.545132	+	2.03446i
$764$	−11.1972	−	19.3941i	−0.405100	−	0.701654i
$765$	0.470408	−	0.172518i	0.0170076	−	0.00623738i
$766$		−	14.1563i		−	0.511488i
$767$	3.15367	−	5.61864i	0.113872	−	0.202877i
$768$	1.28703	−	1.28703i	0.0464416	−	0.0464416i
$769$	13.0342	+	3.49250i	0.470025	+	0.125943i	0.486054	−	0.873929i	$-0.338436\pi$
$769$	13.0342	+	3.49250i	0.470025	+	0.125943i	−0.0160292	+	0.999872i	$0.505102\pi$
$770$	−29.8144	+	10.9341i	−1.07444	+	0.394039i
$771$	−5.54319	−	3.20036i	−0.199633	−	0.115258i
$772$			5.40194i			0.194420i
$773$	−21.0423	+	36.4464i	−0.756840	+	1.31089i	0.187614	+	0.982243i	$0.439925\pi$
$773$	−21.0423	+	36.4464i	−0.756840	+	1.31089i	−0.944454	+	0.328643i	$0.893409\pi$
$774$	1.87901	−	0.503479i	0.0675396	−	0.0180972i
$775$	−18.7495	+	8.85485i	−0.673502	+	0.318076i
$776$	−3.13837	+	5.43581i	−0.112661	+	0.195134i
$777$	5.78952	+	1.55130i	0.207698	+	0.0556524i
$778$	7.10063	−	4.09955i	0.254570	−	0.146976i
$779$	31.2870			1.12097
$780$	−11.8966	+	8.59118i	−0.425967	+	0.307613i
$781$	−19.9686			−0.714534
$782$	5.47985	−	3.16379i	0.195959	−	0.113137i
$783$	7.79043	+	2.08744i	0.278407	+	0.0745990i
$784$	−0.924461	+	1.60121i	−0.0330165	+	0.0571862i
$785$	−6.17252	+	35.5133i	−0.220307	+	1.26753i
$786$	−8.52768	+	2.28499i	−0.304172	+	0.0815027i
$787$	21.7525	−	37.6764i	0.775392	−	1.34302i	−0.159182	−	0.987249i	$-0.550886\pi$
$787$	21.7525	−	37.6764i	0.775392	−	1.34302i	0.934574	−	0.355769i	$-0.115781\pi$
$788$			0.865488i			0.0308317i
$789$	29.0012	+	16.7438i	1.03247	+	0.596096i
$790$	−0.919049	+	1.98355i	−0.0326983	+	0.0705715i
$791$	33.9297	+	9.09145i	1.20640	+	0.323255i
$792$	1.05624	−	1.05624i	0.0375320	−	0.0375320i
$793$	−6.77400	−	24.1072i	−0.240552	−	0.856073i
$794$		−	17.0266i		−	0.604251i
$795$	−18.8598	−	8.73844i	−0.668890	−	0.309921i
$796$	−6.17958	−	10.7033i	−0.219029	−	0.379370i
$797$	3.33158	+	12.4336i	0.118011	+	0.440422i	0.999494	−	0.0317926i	$-0.0101216\pi$
$797$	3.33158	+	12.4336i	0.118011	+	0.440422i	−0.881484	+	0.472214i	$0.843455\pi$
$798$	−30.0664			−1.06434
$799$	−1.34849	−	5.03262i	−0.0477061	−	0.178041i
$800$	3.81447	−	3.23262i	0.134862	−	0.114290i
$801$	3.19678	−	3.19678i	0.112953	−	0.112953i
$802$	−36.2183	+	9.70467i	−1.27891	+	0.342684i
$803$	−10.4410	+	38.9663i	−0.368454	+	1.37509i
$804$	0.161544	−	0.602892i	0.00569723	−	0.0212624i
$805$	−10.0639	+	57.9021i	−0.354705	+	2.04078i
$806$	−12.8575	+	7.63275i	−0.452887	+	0.268852i
$807$	7.61358	+	7.61358i	0.268011	+	0.268011i
$808$	−4.06561	−	7.04185i	−0.143028	−	0.247731i
$809$	9.44972	−	5.45580i	0.332234	−	0.191816i	−0.324598	−	0.945852i	$-0.605229\pi$
$809$	9.44972	−	5.45580i	0.332234	−	0.191816i	0.656833	+	0.754036i	$0.271896\pi$
$810$	1.97139	+	21.9161i	0.0692675	+	0.770053i
$811$	−33.3844	−	33.3844i	−1.17228	−	1.17228i	−0.981664	−	0.190619i	$-0.938950\pi$
$811$	−33.3844	−	33.3844i	−1.17228	−	1.17228i	−0.190619	−	0.981664i	$-0.561050\pi$
$812$	−4.24819	−	2.45269i	−0.149082	−	0.0860726i
$813$	−24.9690	−	14.4159i	−0.875702	−	0.505587i
$814$	−3.73709	−	3.73709i	−0.130985	−	0.130985i
$815$	0.423911	+	4.71266i	0.0148490	+	0.165077i
$816$	−1.12887	+	0.651754i	−0.0395184	+	0.0228160i
$817$	17.2627	+	29.8998i	0.603944	+	1.04606i
$818$	9.75064	+	9.75064i	0.340923	+	0.340923i
$819$	−0.829162	+	3.25176i	−0.0289733	+	0.113626i
$820$	−2.15737	+	12.4123i	−0.0753385	+	0.433457i
$821$	−4.43194	+	16.5402i	−0.154676	+	0.577257i	0.844457	+	0.535623i	$0.179923\pi$
$821$	−4.43194	+	16.5402i	−0.154676	+	0.577257i	−0.999133	+	0.0416344i	$0.986744\pi$
$822$	9.85892	−	36.7940i	0.343869	−	1.28334i
$823$	43.0107	−	11.5247i	1.49926	−	0.401725i	0.586406	−	0.810017i	$-0.300542\pi$
$823$	43.0107	−	11.5247i	1.49926	−	0.401725i	0.912851	+	0.408292i	$0.133876\pi$
$824$	2.65673	−	2.65673i	0.0925515	−	0.0925515i
$825$	33.1463	−	28.0902i	1.15401	−	0.977977i
$826$	1.37585	+	5.13474i	0.0478719	+	0.178660i
$827$	7.78973			0.270875			0.135438	−	0.990786i	$-0.456756\pi$
$827$	7.78973			0.270875			0.135438	+	0.990786i	$0.456756\pi$
$828$	−0.715491	−	2.67025i	−0.0248650	−	0.0927976i
$829$	−20.0470	−	34.7224i	−0.696260	−	1.20596i	−0.969754	−	0.244084i	$-0.921513\pi$
$829$	−20.0470	−	34.7224i	−0.696260	−	1.20596i	0.273494	−	0.961874i	$-0.411821\pi$
$830$	4.05408	+	1.87840i	0.140719	+	0.0652002i
$831$			24.4417i			0.847873i
$832$	2.51839	−	2.58025i	0.0873096	−	0.0894541i
$833$	0.936299	−	0.936299i	0.0324408	−	0.0324408i
$834$	16.3435	+	4.37923i	0.565930	+	0.151640i
$835$	−3.43010	+	7.40304i	−0.118703	+	0.256193i
$836$	22.9595	+	13.2557i	0.794070	+	0.458457i
$837$			20.2829i			0.701079i
$838$	7.93019	−	13.7355i	0.273944	−	0.474485i
$839$	−50.8633	+	13.6288i	−1.75599	+	0.470517i	−0.985889	−	0.167399i	$-0.946463\pi$
$839$	−50.8633	+	13.6288i	−1.75599	+	0.470517i	−0.770106	+	0.637917i	$0.779796\pi$
$840$	2.07320	−	11.9281i	0.0715322	−	0.411558i
$841$	−13.1404	+	22.7598i	−0.453116	+	0.784819i
$842$	8.00661	+	2.14537i	0.275926	+	0.0739342i
$843$	34.1074	−	19.6919i	1.17472	−	0.678226i
$844$	−18.6599			−0.642301
$845$	−23.3581	+	17.3031i	−0.803544	+	0.595246i
$846$	−2.27625			−0.0782592
$847$	30.3801	−	17.5400i	1.04387	−	0.602681i
$848$	4.93316	+	1.32184i	0.169405	+	0.0453920i
$849$	7.52170	−	13.0280i	0.258144	−	0.447119i
$850$	−3.23788	+	1.52916i	−0.111058	+	0.0524496i
$851$	−9.44759	+	2.53147i	−0.323859	+	0.0867778i
$852$	3.80648	−	6.59302i	0.130408	−	0.225873i
$853$			23.5067i			0.804854i	0.915452	+	0.402427i	$0.131833\pi$
$853$			23.5067i			0.804854i	−0.915452	+	0.402427i	$0.868167\pi$
$854$	17.8918	+	10.3298i	0.612245	+	0.353480i
$855$	3.64752	−	1.33769i	0.124742	−	0.0457481i
$856$	16.2956	+	4.36639i	0.556971	+	0.149240i
$857$	1.91089	−	1.91089i	0.0652749	−	0.0652749i	−0.673716	−	0.738991i	$-0.735303\pi$
$857$	1.91089	−	1.91089i	0.0652749	−	0.0652749i	0.738991	+	0.673716i	$0.235303\pi$
$858$	21.8839	−	22.4214i	0.747104	−	0.765454i
$859$		−	1.00601i		−	0.0343245i	−0.999853	−	0.0171622i	$-0.994537\pi$
$859$		−	1.00601i		−	0.0343245i	0.999853	−	0.0171622i	$-0.00546318\pi$
$860$	−13.0523	+	4.78681i	−0.445080	+	0.163229i
$861$	15.2528	+	26.4186i	0.519814	+	0.900343i
$862$	4.27805	+	15.9659i	0.145711	+	0.543801i
$863$	−9.57178			−0.325827			−0.162914	−	0.986640i	$-0.552089\pi$
$863$	−9.57178			−0.325827			−0.162914	+	0.986640i	$0.552089\pi$
$864$	−1.26586	−	4.72426i	−0.0430655	−	0.160722i
$865$	−16.6839	−	13.9301i	−0.567268	−	0.473637i
$866$	−16.5158	+	16.5158i	−0.561229	+	0.561229i
$867$	−28.9862	+	7.76683i	−0.984423	+	0.263775i
$868$	3.19287	−	11.9160i	0.108373	−	0.404454i
$869$	1.20804	−	4.50848i	0.0409801	−	0.152940i
$870$	6.61231	+	1.14927i	0.224178	+	0.0389641i
$871$	0.305496	−	1.19808i	0.0103513	−	0.0405954i
$872$	13.8295	+	13.8295i	0.468327	+	0.468327i
$873$	−0.981940	−	1.70077i	−0.0332336	−	0.0575623i
$874$	42.4904	−	24.5319i	1.43726	−	0.829803i
$875$	8.37215	−	32.1873i	0.283030	−	1.08813i
$876$	−10.8752	−	10.8752i	−0.367437	−	0.367437i
$877$	16.2390	+	9.37556i	0.548350	+	0.316590i	0.748456	−	0.663184i	$-0.230795\pi$
$877$	16.2390	+	9.37556i	0.548350	+	0.316590i	−0.200106	+	0.979774i	$0.564129\pi$
$878$	−10.9362	−	6.31401i	−0.369079	−	0.213088i
$879$	−8.89645	−	8.89645i	−0.300070	−	0.300070i
$880$	−6.84199	+	8.19455i	−0.230644	+	0.276238i
$881$	44.7130	−	25.8151i	1.50642	−	0.869731i	0.506446	−	0.862271i	$-0.330959\pi$
$881$	44.7130	−	25.8151i	1.50642	−	0.869731i	0.999972	−	0.00745980i	$-0.00237455\pi$
$882$	−0.289248	−	0.500991i	−0.00973947	−	0.0168693i
$883$	−21.7478	−	21.7478i	−0.731872	−	0.731872i	0.239118	−	0.970990i	$-0.423142\pi$
$883$	−21.7478	−	21.7478i	−0.731872	−	0.731872i	−0.970990	+	0.239118i	$0.923142\pi$
$884$	−2.22039	+	1.31811i	−0.0746797	+	0.0443329i
$885$	−4.18620	−	5.94753i	−0.140718	−	0.199924i
$886$	1.28834	−	4.80814i	0.0432825	−	0.161533i
$887$	3.06745	−	11.4479i	0.102995	−	0.384383i	−0.895115	−	0.445835i	$-0.852907\pi$
$887$	3.06745	−	11.4479i	0.102995	−	0.384383i	0.998110	+	0.0614527i	$0.0195733\pi$
$888$	1.94624	−	0.521494i	0.0653116	−	0.0175002i
$889$	42.3950	−	42.3950i	1.42188	−	1.42188i
$890$	−20.7077	+	24.8013i	−0.694123	+	0.831340i
$891$	−12.1597	−	45.3806i	−0.407365	−	1.52031i
$892$	4.08676			0.136835
$893$	−10.4561	−	39.0227i	−0.349900	−	1.30584i
$894$	3.09339	+	5.35791i	0.103458	+	0.179195i
$895$	9.08349	−	19.6045i	0.303628	−	0.655307i
$896$			2.97471i			0.0993782i
$897$	−15.6855	−	55.8212i	−0.523723	−	1.86382i
$898$	−1.98735	+	1.98735i	−0.0663188	+	0.0663188i
$899$	6.60559	+	1.76996i	0.220309	+	0.0590316i
$900$	0.279183	+	1.53930i	0.00930611	+	0.0513099i
$901$	−3.16754	−	1.82878i	−0.105526	−	0.0609256i
$902$		−	26.8986i		−	0.895624i
$903$	−16.8315	+	29.1530i	−0.560117	+	0.970151i
$904$	11.4061	−	3.05624i	0.379360	−	0.101649i
$905$	−21.8999	+	15.4144i	−0.727977	+	0.512391i
$906$	7.04868	−	12.2087i	0.234177	−	0.405606i
$907$	−1.99327	−	0.534094i	−0.0661853	−	0.0177343i	0.225574	−	0.974226i	$-0.427574\pi$
$907$	−1.99327	−	0.534094i	−0.0661853	−	0.0177343i	−0.291760	+	0.956492i	$0.594241\pi$
$908$	−6.02777	+	3.48013i	−0.200038	+	0.115492i
$909$	2.54412			0.0843830
$910$	3.81992	−	23.6767i	0.126629	−	0.784876i
$911$	−36.3315			−1.20372			−0.601859	−	0.798602i	$-0.705573\pi$
$911$	−36.3315			−1.20372			−0.601859	+	0.798602i	$0.705573\pi$
$912$	−8.75320	+	5.05367i	−0.289848	+	0.167344i
$913$	−9.21467	−	2.46906i	−0.304961	−	0.0817141i
$914$	−14.8558	+	25.7310i	−0.491387	+	0.851107i
$915$	−27.8486	−	4.84032i	−0.920646	−	0.160016i
$916$	−21.6763	+	5.80815i	−0.716205	+	0.191907i
$917$	7.21439	−	12.4957i	0.238240	−	0.412644i
$918$			3.50268i			0.115606i
$919$	15.6893	+	9.05821i	0.517542	+	0.298803i	0.735928	−	0.677059i	$-0.236746\pi$
$919$	15.6893	+	9.05821i	0.517542	+	0.298803i	−0.218387	+	0.975862i	$0.570079\pi$
$920$	6.80250	+	18.5486i	0.224272	+	0.611528i
$921$	−2.31989	−	0.621613i	−0.0764430	−	0.0204828i
$922$	−15.1732	+	15.1732i	−0.499701	+	0.499701i
$923$	7.38137	−	13.1508i	0.242961	−	0.432864i
$924$			25.8491i			0.850374i
$925$	5.44618	−	0.987777i	0.179069	−	0.0324779i
$926$	−14.1596	−	24.5251i	−0.465312	−	0.805944i
$927$	0.304256	+	1.13550i	0.00999308	+	0.0372947i
$928$	−1.64903			−0.0541320
$929$	−6.28830	−	23.4683i	−0.206312	−	0.769968i	−0.989046	−	0.147611i	$-0.952842\pi$
$929$	−6.28830	−	23.4683i	−0.206312	−	0.769968i	0.782733	−	0.622358i	$-0.213825\pi$
$930$	1.51212	+	16.8104i	0.0495844	+	0.551235i
$931$	7.26001	−	7.26001i	0.237937	−	0.237937i
$932$	13.5601	−	3.63343i	0.444177	−	0.119017i
$933$	10.4374	−	38.9530i	0.341706	−	1.27526i
$934$	0.183511	−	0.684872i	0.00600466	−	0.0224097i
$935$	6.25192	−	4.40045i	0.204460	−	0.143910i
$936$	0.305175	+	1.08605i	0.00997494	+	0.0354987i
$937$	12.7031	+	12.7031i	0.414992	+	0.414992i	0.883473	−	0.468481i	$-0.155199\pi$
$937$	12.7031	+	12.7031i	0.414992	+	0.414992i	−0.468481	+	0.883473i	$0.655199\pi$
$938$	0.510044	+	0.883422i	0.0166535	+	0.0288448i
$939$	6.35835	−	3.67099i	0.207497	−	0.119798i
$940$	16.2022	−	1.45742i	0.528459	−	0.0475357i
$941$	2.74614	+	2.74614i	0.0895214	+	0.0895214i	0.750449	−	0.660928i	$-0.229837\pi$
$941$	2.74614	+	2.74614i	0.0895214	+	0.0895214i	−0.660928	+	0.750449i	$0.729837\pi$
$942$	25.4099	+	14.6704i	0.827899	+	0.477988i
$943$	−43.1111	−	24.8902i	−1.40389	−	0.810536i
$944$	1.26361	+	1.26361i	0.0411271	+	0.0411271i
$945$	−24.9725	−	20.8506i	−0.812356	−	0.678272i
$946$	25.7059	−	14.8413i	0.835772	−	0.482533i
$947$	26.1944	+	45.3700i	0.851204	+	1.47433i	0.880123	+	0.474746i	$0.157460\pi$
$947$	26.1944	+	45.3700i	0.851204	+	1.47433i	−0.0289190	+	0.999582i	$0.509206\pi$
$948$	1.25828	+	1.25828i	0.0408670	+	0.0408670i
$949$	−21.8026	−	21.2800i	−0.707744	−	0.690777i
$950$	−25.1063	+	11.8570i	−0.814557	+	0.384692i
$951$	5.53550	−	20.6588i	0.179501	−	0.669906i
$952$	0.551382	−	2.05778i	0.0178704	−	0.0666932i
$953$	−18.9099	+	5.06689i	−0.612552	+	0.164133i	−0.551739	−	0.834017i	$-0.686036\pi$
$953$	−18.9099	+	5.06689i	−0.612552	+	0.164133i	−0.0608121	+	0.998149i	$0.519369\pi$
$954$	−1.12992	+	1.12992i	−0.0365824	+	0.0365824i
$955$	−49.8740	+	4.48624i	−1.61388	+	0.145171i
$956$	−0.497737	−	1.85758i	−0.0160980	−	0.0600784i
$957$	−14.3294			−0.463204
$958$	−10.8615	−	40.5357i	−0.350920	−	1.30965i
$959$	31.1276	+	53.9145i	1.00516	+	1.74099i
$960$	−1.40134	−	3.82108i	−0.0452281	−	0.123325i
$961$		−	13.8019i		−	0.445223i
$962$	3.84255	−	1.07974i	0.123889	−	0.0348121i
$963$	−3.73243	+	3.73243i	−0.120276	+	0.120276i
$964$	22.8985	+	6.13563i	0.737511	+	0.197615i
$965$	10.9598	+	5.07808i	0.352809	+	0.163469i
$966$	41.4291	+	23.9191i	1.33296	+	0.769585i
$967$			47.0725i			1.51375i	0.653560	+	0.756875i	$0.273275\pi$
$967$			47.0725i			1.51375i	−0.653560	+	0.756875i	$0.726725\pi$
$968$	5.89636	−	10.2128i	0.189516	−	0.328251i
$969$	6.99183	−	1.87346i	0.224610	−	0.0601841i
$970$	8.07834	+	11.4773i	0.259380	+	0.368513i
$971$	−1.38664	+	2.40174i	−0.0444995	+	0.0770754i	−0.887417	−	0.460967i	$-0.847503\pi$
$971$	−1.38664	+	2.40174i	−0.0444995	+	0.0770754i	0.842918	+	0.538042i	$0.180836\pi$
$972$	3.12838	+	0.838248i	0.100343	+	0.0268868i
$973$	−23.9483	+	13.8266i	−0.767747	+	0.443259i
$974$	11.5551			0.370250
$975$	6.24700	+	32.2128i	0.200064	+	1.03163i
$976$	6.94509			0.222307
$977$	18.0007	−	10.3927i	0.575895	−	0.332493i	−0.183606	−	0.983000i	$-0.558777\pi$
$977$	18.0007	−	10.3927i	0.575895	−	0.332493i	0.759500	+	0.650507i	$0.225444\pi$
$978$	3.72030	+	0.996852i	0.118962	+	0.0318758i
$979$	34.4917	−	59.7414i	1.10236	−	1.90934i
$980$	2.37962	+	3.38083i	0.0760140	+	0.107997i
$981$	−5.91081	+	1.58380i	−0.188718	+	0.0505667i
$982$	5.96472	−	10.3312i	0.190342	−	0.329682i
$983$			26.8121i			0.855172i	0.903975	+	0.427586i	$0.140636\pi$
$983$			26.8121i			0.855172i	−0.903975	+	0.427586i	$0.859364\pi$
$984$	8.88106	+	5.12748i	0.283118	+	0.163458i
$985$	1.75596	+	0.813600i	0.0559496	+	0.0259235i
$986$	1.14073	+	0.305657i	0.0363282	+	0.00973411i
$987$	27.8531	−	27.8531i	0.886573	−	0.886573i
$988$	−17.2167	+	10.2206i	−0.547738	+	0.325159i
$989$		−	54.9328i		−	1.74676i
$990$	−1.15006	−	3.13590i	−0.0365513	−	0.0996654i
$991$	11.1961	+	19.3922i	0.355655	+	0.616013i	0.987230	−	0.159302i	$-0.0509244\pi$
$991$	11.1961	+	19.3922i	0.355655	+	0.616013i	−0.631575	+	0.775315i	$0.717591\pi$
$992$	−1.07334	−	4.00575i	−0.0340785	−	0.127183i
$993$	9.13830			0.289995
$994$	3.22027	+	12.0182i	0.102141	+	0.381194i
$995$	−27.5248	+	2.47590i	−0.872595	+	0.0784912i
$996$	2.57173	−	2.57173i	0.0814885	−	0.0814885i
$997$	25.9307	−	6.94811i	0.821234	−	0.220049i	0.176348	−	0.984328i	$-0.443572\pi$
$997$	25.9307	−	6.94811i	0.821234	−	0.220049i	0.644886	+	0.764279i	$0.276905\pi$
$998$	−0.0168622	+	0.0629305i	−0.000533763	+	0.00199203i
$999$	1.40132	−	5.22978i	0.0443357	−	0.165463i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.a.37.1	✓	12
5.2	odd	4		650.2.w.e.193.1		12
5.3	odd	4		130.2.s.a.63.3	yes	12
5.4	even	2		650.2.t.e.557.3		12
13.6	odd	12		130.2.s.a.97.3	yes	12
65.19	odd	12		650.2.w.e.357.1		12
65.32	even	12		650.2.t.e.643.3		12
65.58	even	12	inner	130.2.p.a.123.1	yes	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.a.37.1	✓	12	1.1	even	1	trivial
130.2.p.a.123.1	yes	12	65.58	even	12	inner
130.2.s.a.63.3	yes	12	5.3	odd	4
130.2.s.a.97.3	yes	12	13.6	odd	12
650.2.t.e.557.3		12	5.4	even	2
650.2.t.e.643.3		12	65.32	even	12
650.2.w.e.193.1		12	5.2	odd	4
650.2.w.e.357.1		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)

\(f(q)\)	\(=\)	\(q+(0.866025 - 0.500000i) q^{2} +(-1.75811 - 0.471085i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.28703 - 1.82854i) q^{5} +(-1.75811 + 0.471085i) q^{6} +(1.48736 - 2.57618i) q^{7} -1.00000i q^{8} +(0.270964 + 0.156441i) q^{9} +O(q^{10})\)	\(q+(0.866025 - 0.500000i) q^{2} +(-1.75811 - 0.471085i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.28703 - 1.82854i) q^{5} +(-1.75811 + 0.471085i) q^{6} +(1.48736 - 2.57618i) q^{7} -1.00000i q^{8} +(0.270964 + 0.156441i) q^{9} +(-2.02887 - 0.940048i) q^{10} +(4.61150 + 1.23565i) q^{11} +(-1.28703 + 1.28703i) q^{12} +(-2.51839 + 2.58025i) q^{13} -2.97471i q^{14} +(1.40134 + 3.82108i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.185356 + 0.691759i) q^{17} +0.312882 q^{18} +(1.43724 + 5.36386i) q^{19} +(-2.22708 + 0.200329i) q^{20} +(-3.82854 + 3.82854i) q^{21} +(4.61150 - 1.23565i) q^{22} +(2.28677 - 8.53436i) q^{23} +(-0.471085 + 1.75811i) q^{24} +(-1.68712 + 4.70676i) q^{25} +(-0.890868 + 3.49376i) q^{26} +(3.45840 + 3.45840i) q^{27} +(-1.48736 - 2.57618i) q^{28} +(1.42810 - 0.824513i) q^{29} +(3.12414 + 2.60848i) q^{30} +(2.93241 + 2.93241i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-7.52544 - 4.34481i) q^{33} +(0.506402 + 0.506402i) q^{34} +(-6.62491 + 0.595921i) q^{35} +(0.270964 - 0.156441i) q^{36} +(-0.553503 - 0.958696i) q^{37} +(3.92662 + 3.92662i) q^{38} +(5.64314 - 3.34999i) q^{39} +(-1.82854 + 1.28703i) q^{40} +(1.45823 - 5.44220i) q^{41} +(-1.40134 + 5.22988i) q^{42} +(6.00549 - 1.60917i) q^{43} +(3.37585 - 3.37585i) q^{44} +(-0.0626794 - 0.696813i) q^{45} +(-2.28677 - 8.53436i) q^{46} -7.27511 q^{47} +(0.471085 + 1.75811i) q^{48} +(-0.924461 - 1.60121i) q^{49} +(0.892296 + 4.91974i) q^{50} -1.30351i q^{51} +(0.975366 + 3.47112i) q^{52} +(-3.61132 + 3.61132i) q^{53} +(4.72426 + 1.26586i) q^{54} +(-3.67569 - 10.0226i) q^{55} +(-2.57618 - 1.48736i) q^{56} -10.1073i q^{57} +(0.824513 - 1.42810i) q^{58} +(-1.72613 + 0.462515i) q^{59} +(4.00982 + 0.696941i) q^{60} +(-3.47255 + 6.01463i) q^{61} +(4.00575 + 1.07334i) q^{62} +(0.806040 - 0.465368i) q^{63} -1.00000 q^{64} +(7.95933 + 1.28413i) q^{65} -8.68962 q^{66} +(-0.296977 + 0.171460i) q^{67} +(0.691759 + 0.185356i) q^{68} +(-8.04081 + 13.9271i) q^{69} +(-5.43938 + 3.82854i) q^{70} +(-4.04012 + 1.08255i) q^{71} +(0.156441 - 0.270964i) q^{72} +8.44982i q^{73} +(-0.958696 - 0.553503i) q^{74} +(5.18343 - 7.48025i) q^{75} +(5.36386 + 1.43724i) q^{76} +(10.0422 - 10.0422i) q^{77} +(3.21210 - 5.72275i) q^{78} -0.977662i q^{79} +(-0.940048 + 2.02887i) q^{80} +(-4.92038 - 8.52234i) q^{81} +(-1.45823 - 5.44220i) q^{82} -1.99820 q^{83} +(1.40134 + 5.22988i) q^{84} +(1.02635 - 1.22924i) q^{85} +(4.39632 - 4.39632i) q^{86} +(-2.89918 + 0.776832i) q^{87} +(1.23565 - 4.61150i) q^{88} +(3.73975 - 13.9569i) q^{89} +(-0.402688 - 0.572118i) q^{90} +(2.90143 + 10.3256i) q^{91} +(-6.24758 - 6.24758i) q^{92} +(-3.77410 - 6.53693i) q^{93} +(-6.30043 + 3.63756i) q^{94} +(7.95826 - 9.53149i) q^{95} +(1.28703 + 1.28703i) q^{96} +(-5.43581 - 3.13837i) q^{97} +(-1.60121 - 0.924461i) q^{98} +(1.05624 + 1.05624i) 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

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