LMFDB - Embedded newform 280.2.bj.e.131.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(131,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bj (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			131.6
Character	$\chi$	$=$	280.131
Dual form			280.2.bj.e.171.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.447296 + 1.34161i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-1.59985 - 1.20020i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-0.0718241 - 0.351096i) q^{6} +(-0.978876 + 2.45801i) q^{7} +(2.32581 - 1.60954i) q^{8} +(-1.46789 + 2.54247i) q^{9} +O(q^{10})$	\(q+(-0.447296 + 1.34161i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-1.59985 - 1.20020i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-0.0718241 - 0.351096i) q^{6} +(-0.978876 + 2.45801i) q^{7} +(2.32581 - 1.60954i) q^{8} +(-1.46789 + 2.54247i) q^{9} +(0.938224 + 1.05818i) q^{10} +(1.81455 + 3.14289i) q^{11} +(0.503161 + 0.0606834i) q^{12} -5.36097 q^{13} +(-2.85985 - 2.41273i) q^{14} +0.253404i q^{15} +(1.11906 + 3.84027i) q^{16} +(-4.46956 + 2.58050i) q^{17} +(-2.75442 - 3.10658i) q^{18} +(5.49220 + 3.17092i) q^{19} +(-1.83933 + 0.785416i) q^{20} +(-0.0966157 - 0.663445i) q^{21} +(-5.02818 + 1.02862i) q^{22} +(-0.231195 - 0.133481i) q^{23} +(-0.306475 + 0.647905i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.39794 - 7.19235i) q^{26} -1.50415i q^{27} +(4.51615 - 2.75761i) q^{28} -2.99647i q^{29} +(-0.339970 - 0.113346i) q^{30} +(-2.72336 - 4.71700i) q^{31} +(-5.65271 - 0.216390i) q^{32} +(-0.796419 - 0.459813i) q^{33} +(-1.46282 - 7.15066i) q^{34} +(1.63926 + 2.07674i) q^{35} +(5.39987 - 2.30581i) q^{36} +(7.48336 + 4.32052i) q^{37} +(-6.71079 + 5.95007i) q^{38} +(1.17649 - 0.679245i) q^{39} +(-0.231002 - 2.81898i) q^{40} +3.46796i q^{41} +(0.933303 + 0.167135i) q^{42} +5.33960 q^{43} +(0.869070 - 7.20596i) q^{44} +(1.46789 + 2.54247i) q^{45} +(0.282492 - 0.250469i) q^{46} +(-2.26364 + 3.92073i) q^{47} +(-0.732152 - 0.700977i) q^{48} +(-5.08360 - 4.81217i) q^{49} +(1.38552 - 0.283437i) q^{50} +(0.653908 - 1.13260i) q^{51} +(8.57677 + 6.43421i) q^{52} +(-3.09705 + 1.78808i) q^{53} +(2.01799 + 0.672800i) q^{54} +3.62909 q^{55} +(1.67959 + 7.29239i) q^{56} -1.60705 q^{57} +(4.02010 + 1.34031i) q^{58} +(6.83489 - 3.94613i) q^{59} +(0.304134 - 0.405409i) q^{60} +(2.63069 - 4.55649i) q^{61} +(7.54654 - 1.54381i) q^{62} +(-4.81251 - 6.09685i) q^{63} +(2.81875 - 7.48697i) q^{64} +(-2.68049 + 4.64274i) q^{65} +(0.973125 - 0.862814i) q^{66} +(0.963653 + 1.66910i) q^{67} +(10.2477 + 1.23592i) q^{68} +0.0676490 q^{69} +(-3.51941 + 1.27034i) q^{70} +15.9319i q^{71} +(0.678172 + 8.27592i) q^{72} +(7.12385 - 4.11296i) q^{73} +(-9.14374 + 8.10722i) q^{74} +(0.219454 + 0.126702i) q^{75} +(-4.98099 - 11.6647i) q^{76} +(-9.50145 + 1.38367i) q^{77} +(0.385047 + 1.88221i) q^{78} +(9.94273 + 5.74044i) q^{79} +(3.88531 + 0.951001i) q^{80} +(-4.21310 - 7.29731i) q^{81} +(-4.65266 - 1.55120i) q^{82} -5.75814i q^{83} +(-0.641693 + 1.17737i) q^{84} +5.16100i q^{85} +(-2.38838 + 7.16367i) q^{86} +(0.379658 + 0.657587i) q^{87} +(9.27889 + 4.38915i) q^{88} +(4.77496 + 2.75683i) q^{89} +(-4.06759 + 0.832112i) q^{90} +(5.24773 - 13.1773i) q^{91} +(0.209676 + 0.491029i) q^{92} +(1.19531 + 0.690110i) q^{93} +(-4.24759 - 4.79065i) q^{94} +(5.49220 - 3.17092i) q^{95} +(1.26793 - 0.668722i) q^{96} -7.98474i q^{97} +(8.72995 - 4.66777i) q^{98} -10.6542 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.447296	+	1.34161i	−0.316286	+	0.948664i
$2$	−0.447296	+	1.34161i	−0.316286	+	0.948664i
$3$	−0.219454	+	0.126702i	−0.126702	+	0.0731514i	−0.562011	−	0.827130i	$-0.689972\pi$
$3$	−0.219454	+	0.126702i	−0.126702	+	0.0731514i	0.435309	+	0.900281i	$0.356639\pi$
$4$	−1.59985	−	1.20020i	−0.799927	−	0.600098i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$6$	−0.0718241	−	0.351096i	−0.0293221	−	0.143334i
$7$	−0.978876	+	2.45801i	−0.369980	+	0.929040i
$7$	−0.978876	+	2.45801i	−0.369980	+	0.929040i
$8$	2.32581	−	1.60954i	0.822297	−	0.569059i
$9$	−1.46789	+	2.54247i	−0.489298	+	0.847489i
$10$	0.938224	+	1.05818i	0.296692	+	0.334625i
$11$	1.81455	+	3.14289i	0.547106	+	0.947616i	0.998471	+	0.0552761i	$0.0176039\pi$
$11$	1.81455	+	3.14289i	0.547106	+	0.947616i	−0.451365	+	0.892339i	$0.649063\pi$
$12$	0.503161	+	0.0606834i	0.145250	+	0.0175178i
$13$	−5.36097			−1.48687			−0.743433	−	0.668810i	$-0.766804\pi$
$13$	−5.36097			−1.48687			−0.743433	+	0.668810i	$0.766804\pi$
$14$	−2.85985	−	2.41273i	−0.764327	−	0.644829i
$15$			0.253404i			0.0654286i
$16$	1.11906	+	3.84027i	0.279765	+	0.960068i
$17$	−4.46956	+	2.58050i	−1.08403	+	0.625863i	−0.931980	−	0.362510i	$-0.881920\pi$
$17$	−4.46956	+	2.58050i	−1.08403	+	0.625863i	−0.152047	+	0.988373i	$0.548586\pi$
$18$	−2.75442	−	3.10658i	−0.649224	−	0.732228i
$19$	5.49220	+	3.17092i	1.26000	+	0.727460i	0.973074	−	0.230494i	$-0.0740341\pi$
$19$	5.49220	+	3.17092i	1.26000	+	0.727460i	0.286924	+	0.957953i	$0.407367\pi$
$20$	−1.83933	+	0.785416i	−0.411286	+	0.175624i
$21$	−0.0966157	−	0.663445i	−0.0210833	−	0.144776i
$22$	−5.02818	+	1.02862i	−1.07201	+	0.219303i
$23$	−0.231195	−	0.133481i	−0.0482076	−	0.0278326i	0.475703	−	0.879606i	$-0.342194\pi$
$23$	−0.231195	−	0.133481i	−0.0482076	−	0.0278326i	−0.523910	+	0.851774i	$0.675527\pi$
$24$	−0.306475	+	0.647905i	−0.0625590	+	0.132253i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	2.39794	−	7.19235i	0.470274	−	1.41054i
$27$		−	1.50415i		−	0.289474i
$28$	4.51615	−	2.75761i	0.853472	−	0.521139i
$29$		−	2.99647i		−	0.556430i	−0.960519	−	0.278215i	$-0.910257\pi$
$29$		−	2.99647i		−	0.556430i	0.960519	−	0.278215i	$-0.0897428\pi$
$30$	−0.339970	−	0.113346i	−0.0620697	−	0.0206941i
$31$	−2.72336	−	4.71700i	−0.489130	−	0.847199i	0.510791	−	0.859705i	$-0.329352\pi$
$31$	−2.72336	−	4.71700i	−0.489130	−	0.847199i	−0.999922	+	0.0125059i	$0.996019\pi$
$32$	−5.65271	−	0.216390i	−0.999268	−	0.0382527i
$33$	−0.796419	−	0.459813i	−0.138639	−	0.0800431i
$34$	−1.46282	−	7.15066i	−0.250872	−	1.22633i
$35$	1.63926	+	2.07674i	0.277085	+	0.351032i
$36$	5.39987	−	2.30581i	0.899978	−	0.384302i
$37$	7.48336	+	4.32052i	1.23026	+	0.710289i	0.967083	−	0.254460i	$-0.0818977\pi$
$37$	7.48336	+	4.32052i	1.23026	+	0.710289i	0.263173	+	0.964749i	$0.415231\pi$
$38$	−6.71079	+	5.95007i	−1.08863	+	0.965229i
$39$	1.17649	−	0.679245i	0.188389	−	0.108766i
$40$	−0.231002	−	2.81898i	−0.0365246	−	0.445720i
$41$			3.46796i			0.541604i	0.962635	+	0.270802i	$0.0872889\pi$
$41$			3.46796i			0.541604i	−0.962635	+	0.270802i	$0.912711\pi$
$42$	0.933303	+	0.167135i	0.144012	+	0.0257895i
$43$	5.33960			0.814281			0.407140	−	0.913366i	$-0.366526\pi$
$43$	5.33960			0.814281			0.407140	+	0.913366i	$0.366526\pi$
$44$	0.869070	−	7.20596i	0.131017	−	1.08634i
$45$	1.46789	+	2.54247i	0.218821	+	0.379008i
$46$	0.282492	−	0.250469i	0.0416512	−	0.0369297i
$47$	−2.26364	+	3.92073i	−0.330185	+	0.571898i	−0.982548	−	0.186009i	$-0.940445\pi$
$47$	−2.26364	+	3.92073i	−0.330185	+	0.571898i	0.652363	+	0.757907i	$0.273778\pi$
$48$	−0.732152	−	0.700977i	−0.105677	−	0.101177i
$49$	−5.08360	−	4.81217i	−0.726229	−	0.687453i
$50$	1.38552	−	0.283437i	0.195942	−	0.0400841i
$51$	0.653908	−	1.13260i	0.0915655	−	0.158596i
$52$	8.57677	+	6.43421i	1.18938	+	0.892265i
$53$	−3.09705	+	1.78808i	−0.425413	+	0.245612i	−0.697391	−	0.716691i	$-0.745656\pi$
$53$	−3.09705	+	1.78808i	−0.425413	+	0.245612i	0.271978	+	0.962304i	$0.412322\pi$
$54$	2.01799	+	0.672800i	0.274613	+	0.0915565i
$55$	3.62909			0.489347
$56$	1.67959	+	7.29239i	0.224445	+	0.974487i
$57$	−1.60705			−0.212859
$58$	4.02010	+	1.34031i	0.527865	+	0.175991i
$59$	6.83489	−	3.94613i	0.889827	−	0.513742i	0.0159410	−	0.999873i	$-0.494926\pi$
$59$	6.83489	−	3.94613i	0.889827	−	0.513742i	0.873886	+	0.486131i	$0.161592\pi$
$60$	0.304134	−	0.405409i	0.0392635	−	0.0523380i
$61$	2.63069	−	4.55649i	0.336825	−	0.583398i	−0.647009	−	0.762483i	$-0.723980\pi$
$61$	2.63069	−	4.55649i	0.336825	−	0.583398i	0.983834	+	0.179084i	$0.0573135\pi$
$62$	7.54654	−	1.54381i	0.958412	−	0.196064i
$63$	−4.81251	−	6.09685i	−0.606320	−	0.768131i
$64$	2.81875	−	7.48697i	0.352343	−	0.935871i
$65$	−2.68049	+	4.64274i	−0.332473	+	0.575861i
$66$	0.973125	−	0.862814i	0.119783	−	0.106205i
$67$	0.963653	+	1.66910i	0.117729	+	0.203913i	0.918867	−	0.394567i	$-0.129105\pi$
$67$	0.963653	+	1.66910i	0.117729	+	0.203913i	−0.801138	+	0.598479i	$0.795772\pi$
$68$	10.2477	+	1.23592i	1.24272	+	0.149877i
$69$	0.0676490			0.00814398
$70$	−3.51941	+	1.27034i	−0.420650	+	0.151834i
$71$			15.9319i			1.89077i	0.325956	+	0.945385i	$0.394314\pi$
$71$			15.9319i			1.89077i	−0.325956	+	0.945385i	$0.605686\pi$
$72$	0.678172	+	8.27592i	0.0799233	+	0.975326i
$73$	7.12385	−	4.11296i	0.833783	−	0.481385i	−0.0213629	−	0.999772i	$-0.506801\pi$
$73$	7.12385	−	4.11296i	0.833783	−	0.481385i	0.855146	+	0.518387i	$0.173467\pi$
$74$	−9.14374	+	8.10722i	−1.06294	+	0.942446i
$75$	0.219454	+	0.126702i	0.0253404	+	0.0146303i
$76$	−4.98099	−	11.6647i	−0.571358	−	1.33804i
$77$	−9.50145	+	1.38367i	−1.08279	+	0.157684i
$78$	0.385047	+	1.88221i	0.0435980	+	0.213119i
$79$	9.94273	+	5.74044i	1.11864	+	0.645849i	0.941054	−	0.338255i	$-0.109837\pi$
$79$	9.94273	+	5.74044i	1.11864	+	0.645849i	0.177590	+	0.984105i	$0.443170\pi$
$80$	3.88531	+	0.951001i	0.434390	+	0.106325i
$81$	−4.21310	−	7.29731i	−0.468122	−	0.810812i
$82$	−4.65266	−	1.55120i	−0.513800	−	0.171302i
$83$		−	5.75814i		−	0.632039i	−0.948753	−	0.316019i	$-0.897654\pi$
$83$		−	5.75814i		−	0.632039i	0.948753	−	0.316019i	$-0.102346\pi$
$84$	−0.641693	+	1.17737i	−0.0700144	+	0.128462i
$85$			5.16100i			0.559789i
$86$	−2.38838	+	7.16367i	−0.257545	+	0.772479i
$87$	0.379658	+	0.657587i	0.0407036	+	0.0705007i
$88$	9.27889	+	4.38915i	0.989133	+	0.467885i
$89$	4.77496	+	2.75683i	0.506145	+	0.292223i	0.731248	−	0.682112i	$-0.238938\pi$
$89$	4.77496	+	2.75683i	0.506145	+	0.292223i	−0.225103	+	0.974335i	$0.572272\pi$
$90$	−4.06759	+	0.832112i	−0.428761	+	0.0877123i
$91$	5.24773	−	13.1773i	0.550111	−	1.38136i
$92$	0.209676	+	0.491029i	0.0218602	+	0.0511933i
$93$	1.19531	+	0.690110i	0.123947	+	0.0715611i
$94$	−4.24759	−	4.79065i	−0.438106	−	0.494118i
$95$	5.49220	−	3.17092i	0.563488	−	0.325330i
$96$	1.26793	−	0.668722i	0.129407	−	0.0682511i
$97$		−	7.98474i		−	0.810727i	−0.914156	−	0.405364i	$-0.867145\pi$
$97$		−	7.98474i		−	0.810727i	0.914156	−	0.405364i	$-0.132855\pi$
$98$	8.72995	−	4.66777i	0.881858	−	0.471516i
$99$	−10.6542			−1.07079
$100$	−0.239473	+	1.98561i	−0.0239473	+	0.198561i
$101$	−4.74975	−	8.22681i	−0.472618	−	0.818598i	0.526891	−	0.849933i	$-0.323358\pi$
$101$	−4.74975	−	8.22681i	−0.472618	−	0.818598i	−0.999509	+	0.0313347i	$0.990024\pi$
$102$	1.22702	+	1.38390i	0.121494	+	0.137027i
$103$	3.75103	−	6.49697i	0.369600	−	0.640166i	−0.619903	−	0.784678i	$-0.712828\pi$
$103$	3.75103	−	6.49697i	0.369600	−	0.640166i	0.989503	+	0.144513i	$0.0461615\pi$
$104$	−12.4686	+	8.62871i	−1.22264	+	0.846115i
$105$	−0.622868	−	0.248051i	−0.0607857	−	0.0242073i
$106$	−1.01362	−	4.95485i	−0.0984515	−	0.481258i
$107$	−3.73750	+	6.47354i	−0.361318	+	0.625821i	−0.988178	−	0.153311i	$-0.951006\pi$
$107$	−3.73750	+	6.47354i	−0.361318	+	0.625821i	0.626860	+	0.779132i	$0.284340\pi$
$108$	−1.80527	+	2.40642i	−0.173713	+	0.231558i
$109$	16.8873	−	9.74989i	1.61751	−	0.933870i	0.629949	−	0.776636i	$-0.283076\pi$
$109$	16.8873	−	9.74989i	1.61751	−	0.933870i	0.987561	−	0.157234i	$-0.0502578\pi$
$110$	−1.62328	+	4.86884i	−0.154773	+	0.464225i
$111$	−2.18967			−0.207834
$112$	−10.5348	−	1.00849i	−0.995449	−	0.0952936i
$113$	−20.8176			−1.95836			−0.979179	−	0.202997i	$-0.934932\pi$
$113$	−20.8176			−1.95836			−0.979179	+	0.202997i	$0.934932\pi$
$114$	0.718825	−	2.15604i	0.0673242	−	0.201931i
$115$	−0.231195	+	0.133481i	−0.0215591	+	0.0124471i
$116$	−3.59635	+	4.79391i	−0.333912	+	0.445103i
$117$	7.86933	−	13.6301i	0.727520	−	1.26010i
$118$	2.23696	+	10.9349i	0.205929	+	1.00664i
$119$	−1.96774	−	13.5122i	−0.180383	−	1.23866i
$120$	0.407864	+	0.589368i	0.0372327	+	0.0538017i
$121$	−1.08515	+	1.87954i	−0.0986502	+	0.170867i
$122$	4.93635	+	5.56746i	0.446916	+	0.504055i
$123$	−0.439397	−	0.761058i	−0.0396191	−	0.0686223i
$124$	−1.30434	+	10.8151i	−0.117134	+	0.971223i
$125$	−1.00000			−0.0894427
$126$	10.3322	−	3.72944i	0.920469	−	0.332245i
$127$			8.44123i			0.749038i	0.927219	+	0.374519i	$0.122192\pi$
$127$			8.44123i			0.749038i	−0.927219	+	0.374519i	$0.877808\pi$
$128$	8.78380	+	7.13055i	0.776386	+	0.630258i
$129$	−1.17180	+	0.676537i	−0.103171	+	0.0595657i
$130$	−5.02979	−	5.67285i	−0.441142	−	0.497542i
$131$	−4.74957	−	2.74216i	−0.414972	−	0.239584i	0.277952	−	0.960595i	$-0.410344\pi$
$131$	−4.74957	−	2.74216i	−0.414972	−	0.239584i	−0.692924	+	0.721011i	$0.743678\pi$
$132$	0.722288	+	1.69149i	0.0628671	+	0.147225i
$133$	−13.1703	+	10.3959i	−1.14201	+	0.901441i
$134$	−2.67032	+	0.546271i	−0.230681	+	0.0471906i
$135$	−1.30263	−	0.752075i	−0.112113	−	0.0647283i
$136$	−6.24190	+	13.1957i	−0.535238	+	1.13152i
$137$	4.21281	+	7.29680i	0.359925	+	0.623408i	0.987948	−	0.154787i	$-0.0494691\pi$
$137$	4.21281	+	7.29680i	0.359925	+	0.623408i	−0.628023	+	0.778195i	$0.716136\pi$
$138$	−0.0302591	+	0.0907588i	−0.00257583	+	0.00772590i
$139$			11.5832i			0.982472i	0.871027	+	0.491236i	$0.163455\pi$
$139$			11.5832i			0.982472i	−0.871027	+	0.491236i	$0.836545\pi$
$140$	−0.130085	−	5.28990i	−0.0109942	−	0.447078i
$141$		−	1.14723i		−	0.0966140i
$142$	−21.3745	−	7.12627i	−1.79370	−	0.598023i
$143$	−9.72773	−	16.8489i	−0.813473	−	1.40898i
$144$	−11.4064	−	2.79194i	−0.950536	−	0.232661i
$145$	−2.59502	−	1.49823i	−0.215504	−	0.124422i
$146$	2.33153	+	11.3972i	0.192959	+	0.943235i
$147$	1.72533	+	0.411949i	0.142303	+	0.0339769i
$148$	−6.78681	−	15.8937i	−0.557872	−	1.30645i
$149$	10.0102	+	5.77937i	0.820065	+	0.473465i	0.850439	−	0.526074i	$-0.176336\pi$
$149$	10.0102	+	5.77937i	0.820065	+	0.473465i	−0.0303740	+	0.999539i	$0.509670\pi$
$150$	−0.268146	+	0.237749i	−0.0218940	+	0.0194122i
$151$	−13.9344	+	8.04501i	−1.13396	+	0.654694i	−0.944929	−	0.327276i	$-0.893869\pi$
$151$	−13.9344	+	8.04501i	−1.13396	+	0.654694i	−0.189035	+	0.981970i	$0.560536\pi$
$152$	17.8775	−	1.46498i	1.45006	−	0.118825i
$153$		−	15.1516i		−	1.22493i
$154$	2.39361	−	13.3662i	0.192882	−	1.07708i
$155$	−5.44673			−0.437492
$156$	−2.69743	−	0.325322i	−0.215967	−	0.0260466i
$157$	−1.07894	−	1.86877i	−0.0861086	−	0.149144i	0.819754	−	0.572715i	$-0.194110\pi$
$157$	−1.07894	−	1.86877i	−0.0861086	−	0.149144i	−0.905863	+	0.423571i	$0.860777\pi$
$158$	−12.1488	+	10.7716i	−0.966505	+	0.856944i
$159$	0.453107	−	0.784805i	0.0359337	−	0.0622391i
$160$	−3.01376	+	4.78720i	−0.238258	+	0.378461i
$161$	0.554408	−	0.437619i	0.0436935	−	0.0344892i
$162$	11.6747	−	2.38830i	0.917248	−	0.187643i
$163$	0.598474	−	1.03659i	0.0468761	−	0.0811918i	−0.841635	−	0.540046i	$-0.818407\pi$
$163$	0.598474	−	1.03659i	0.0468761	−	0.0811918i	0.888511	+	0.458854i	$0.151740\pi$
$164$	4.16223	−	5.54823i	0.325015	−	0.433244i
$165$	−0.796419	+	0.459813i	−0.0620011	+	0.0357964i
$166$	7.72520	+	2.57559i	0.599592	+	0.199905i
$167$	13.0622			1.01079			0.505393	−	0.862889i	$-0.331347\pi$
$167$	13.0622			1.01079			0.505393	+	0.862889i	$0.331347\pi$
$168$	−1.29255	−	1.38754i	−0.0997226	−	0.107051i
$169$	15.7400			1.21077
$170$	−6.92407	−	2.30849i	−0.531052	−	0.177053i
$171$	−16.1239	+	9.30916i	−1.23303	+	0.711889i
$172$	−8.54257	−	6.40856i	−0.651365	−	0.488648i
$173$	−12.3607	+	21.4093i	−0.939764	+	1.62772i	−0.173854	+	0.984771i	$0.555622\pi$
$173$	−12.3607	+	21.4093i	−0.939764	+	1.62772i	−0.765910	+	0.642948i	$0.777711\pi$
$174$	−1.05205	+	0.215219i	−0.0797555	+	0.0163157i
$175$	2.61814	−	0.381272i	0.197912	−	0.0288215i
$176$	−10.0390	+	10.4854i	−0.756714	+	0.790369i
$177$	−0.999963	+	1.73199i	−0.0751618	+	0.130184i
$178$	−5.83441	+	5.17304i	−0.437308	+	0.387736i
$179$	−6.48006	−	11.2238i	−0.484342	−	0.838905i	0.515496	−	0.856892i	$-0.327608\pi$
$179$	−6.48006	−	11.2238i	−0.484342	−	0.838905i	−0.999838	+	0.0179868i	$0.994274\pi$
$180$	0.703042	−	5.82933i	0.0524017	−	0.434493i
$181$	−10.5665			−0.785403			−0.392702	−	0.919666i	$-0.628459\pi$
$181$	−10.5665			−0.785403			−0.392702	+	0.919666i	$0.628459\pi$
$182$	15.3316	+	12.9346i	1.13645	+	0.958774i
$183$			1.33325i			0.0985569i
$184$	−0.752558	+	0.0616685i	−0.0554793	+	0.00454627i
$185$	7.48336	−	4.32052i	0.550187	−	0.317651i
$186$	−1.46052	+	1.29496i	−0.107090	+	0.0949507i
$187$	−16.2204	−	9.36487i	−1.18616	−	0.684827i
$188$	8.32713	−	3.55579i	0.607318	−	0.259333i
$189$	3.69721	+	1.47238i	0.268933	+	0.107100i
$190$	1.79752	+	8.78675i	0.130406	+	0.637458i
$191$	−3.42981	−	1.98020i	−0.248173	−	0.143282i	0.370755	−	0.928731i	$-0.379099\pi$
$191$	−3.42981	−	1.98020i	−0.248173	−	0.143282i	−0.618927	+	0.785448i	$0.712432\pi$
$192$	0.330027	+	2.00019i	0.0238177	+	0.144351i
$193$	7.14531	+	12.3760i	0.514330	+	0.890846i	0.999862	+	0.0166270i	$0.00529279\pi$
$193$	7.14531	+	12.3760i	0.514330	+	0.890846i	−0.485531	+	0.874219i	$0.661374\pi$
$194$	10.7124	+	3.57154i	0.769108	+	0.256421i
$195$		−	1.35849i		−	0.0972835i
$196$	2.35747	+	13.8001i	0.168391	+	0.985720i
$197$		−	4.05223i		−	0.288709i	−0.989526	−	0.144355i	$-0.953889\pi$
$197$		−	4.05223i		−	0.288709i	0.989526	−	0.144355i	$-0.0461106\pi$
$198$	4.76559	−	14.2939i	0.338676	−	1.01582i
$199$	1.37120	+	2.37499i	0.0972020	+	0.168359i	0.910525	−	0.413453i	$-0.135677\pi$
$199$	1.37120	+	2.37499i	0.0972020	+	0.168359i	−0.813324	+	0.581812i	$0.802344\pi$
$200$	−2.55681	−	1.20944i	−0.180794	−	0.0855200i
$201$	−0.422955	−	0.244193i	−0.0298330	−	0.0172241i
$202$	13.1617	−	2.69251i	0.926057	−	0.189445i
$203$	7.36534	+	2.93317i	0.516946	+	0.205868i
$204$	−2.40550	+	1.02718i	−0.168419	+	0.0719170i
$205$	3.00334	+	1.73398i	0.209762	+	0.121106i
$206$	7.03860	+	7.93850i	0.490403	+	0.553101i
$207$	0.678740	−	0.391871i	0.0471757	−	0.0272369i
$208$	−5.99925	−	20.5876i	−0.415973	−	1.42749i
$209$			23.0151i			1.59199i
$210$	0.611395	−	0.724696i	0.0421902	−	0.0500088i
$211$	−2.41112			−0.165988			−0.0829942	−	0.996550i	$-0.526448\pi$
$211$	−2.41112			−0.165988			−0.0829942	+	0.996550i	$0.526448\pi$
$212$	7.10088	+	0.856397i	0.487691	+	0.0588176i
$213$	−2.01860	−	3.49632i	−0.138312	−	0.239564i
$214$	−7.01322	−	7.90987i	−0.479414	−	0.540708i
$215$	2.66980	−	4.62422i	0.182079	−	0.315370i
$216$	−2.42099	−	3.49836i	−0.164728	−	0.238033i
$217$	14.2603	−	2.07668i	0.968050	−	0.140975i
$218$	5.52697	+	27.0173i	0.374333	+	1.82984i
$219$	−1.04224	+	1.80521i	−0.0704279	+	0.121985i
$220$	−5.80601	−	4.35562i	−0.391441	−	0.293656i
$221$	23.9612	−	13.8340i	1.61180	−	0.930575i
$222$	0.979430	−	2.93769i	0.0657350	−	0.197165i
$223$	19.8843			1.33155			0.665774	−	0.746153i	$-0.268101\pi$
$223$	19.8843			1.33155			0.665774	+	0.746153i	$0.268101\pi$
$224$	6.06520	−	13.6826i	0.405248	−	0.914207i
$225$	2.93579			0.195719
$226$	9.31164	−	27.9292i	0.619401	−	1.85782i
$227$	21.4464	−	12.3821i	1.42345	−	0.821827i	0.426855	−	0.904320i	$-0.359621\pi$
$227$	21.4464	−	12.3821i	1.42345	−	0.821827i	0.996592	+	0.0824926i	$0.0262881\pi$
$228$	2.57104	+	1.92877i	0.170271	+	0.127736i
$229$	−5.98187	+	10.3609i	−0.395293	+	0.684668i	−0.993139	−	0.116943i	$-0.962690\pi$
$229$	−5.98187	+	10.3609i	−0.395293	+	0.684668i	0.597845	+	0.801612i	$0.296024\pi$
$230$	−0.0756668	−	0.369880i	−0.00498932	−	0.0243892i
$231$	1.90982	−	1.50750i	0.125657	−	0.0991865i
$232$	−4.82294	−	6.96920i	−0.316642	−	0.457551i
$233$	5.54956	−	9.61212i	0.363564	−	0.629711i	−0.624981	−	0.780640i	$-0.714893\pi$
$233$	5.54956	−	9.61212i	0.363564	−	0.629711i	0.988545	+	0.150929i	$0.0482265\pi$
$234$	14.7664	+	16.6543i	0.965309	+	1.08872i
$235$	2.26364	+	3.92073i	0.147663	+	0.255760i
$236$	−15.6709	−	1.88998i	−1.02009	−	0.123027i
$237$	−2.90930			−0.188979
$238$	19.0083	+	3.40399i	1.23213	+	0.220648i
$239$			24.8172i			1.60529i	0.596455	+	0.802646i	$0.296575\pi$
$239$			24.8172i			1.60529i	−0.596455	+	0.802646i	$0.703425\pi$
$240$	−0.973140	+	0.283574i	−0.0628159	+	0.0183046i
$241$	9.84971	−	5.68673i	0.634475	−	0.366315i	−0.148008	−	0.988986i	$-0.547286\pi$
$241$	9.84971	−	5.68673i	0.634475	−	0.366315i	0.782483	+	0.622672i	$0.213953\pi$
$242$	−2.03623	−	2.29656i	−0.130894	−	0.147629i
$243$	5.75706	+	3.32384i	0.369316	+	0.213225i
$244$	−9.67739	+	4.13237i	−0.619532	+	0.264548i
$245$	−6.70926	+	1.99644i	−0.428639	+	0.127548i
$246$	1.21759	−	0.249083i	0.0776304	−	0.0158810i
$247$	−29.4435	−	16.9992i	−1.87345	−	1.08164i
$248$	−13.9262	−	6.58747i	−0.884317	−	0.418304i
$249$	0.729568	+	1.26365i	0.0462345	+	0.0800805i
$250$	0.447296	−	1.34161i	0.0282895	−	0.0848511i
$251$			8.98434i			0.567087i	0.958959	+	0.283543i	$0.0915100\pi$
$251$			8.98434i			0.567087i	−0.958959	+	0.283543i	$0.908490\pi$
$252$	0.381901	+	15.5300i	0.0240575	+	0.978300i
$253$		−	0.968827i		−	0.0609096i
$254$	−11.3249	−	3.77573i	−0.710586	−	0.236910i
$255$	−0.653908	−	1.13260i	−0.0409493	−	0.0709263i
$256$	−13.4954	+	8.59500i	−0.843463	+	0.537188i
$257$	−2.10401	−	1.21475i	−0.131244	−	0.0757740i	0.432940	−	0.901423i	$-0.357476\pi$
$257$	−2.10401	−	1.21475i	−0.131244	−	0.0757740i	−0.564185	+	0.825649i	$0.690809\pi$
$258$	−0.383512	−	1.87471i	−0.0238764	−	0.116714i
$259$	−17.9451	+	14.1649i	−1.11506	+	0.880164i
$260$	9.86058	−	4.21059i	0.611527	−	0.261130i
$261$	7.61842	+	4.39850i	0.471568	+	0.272260i
$262$	5.80339	−	5.14553i	0.358534	−	0.317892i
$263$	1.99243	−	1.15033i	0.122858	−	0.0709323i	−0.437311	−	0.899310i	$-0.644069\pi$
$263$	1.99243	−	1.15033i	0.122858	−	0.0709323i	0.560170	+	0.828378i	$0.310736\pi$
$264$	−2.59240	+	0.212435i	−0.159551	+	0.0130745i
$265$			3.57617i			0.219682i
$266$	−8.05628	−	22.3196i	−0.493962	−	1.36850i
$267$	−1.39718			−0.0855060
$268$	0.461538	−	3.82688i	0.0281929	−	0.233764i
$269$	−0.609154	−	1.05509i	−0.0371408	−	0.0643297i	0.846857	−	0.531820i	$-0.178492\pi$
$269$	−0.609154	−	1.05509i	−0.0371408	−	0.0643297i	−0.883998	+	0.467490i	$0.845158\pi$
$270$	1.59166	−	1.41123i	0.0968651	−	0.0858847i
$271$	−12.1092	+	20.9738i	−0.735582	+	1.27406i	0.218886	+	0.975750i	$0.429758\pi$
$271$	−12.1092	+	20.9738i	−0.735582	+	1.27406i	−0.954468	+	0.298314i	$0.903576\pi$
$272$	−14.9115	−	14.2766i	−0.904145	−	0.865645i
$273$	0.517954	+	3.55671i	0.0313480	+	0.215262i
$274$	−11.6739	+	2.38814i	−0.705243	+	0.144273i
$275$	1.81455	−	3.14289i	0.109421	−	0.189523i
$276$	−0.108228	−	0.0811920i	−0.00651459	−	0.00488719i
$277$	7.22720	−	4.17263i	0.434240	−	0.250709i	−0.266911	−	0.963721i	$-0.586003\pi$
$277$	7.22720	−	4.17263i	0.434240	−	0.250709i	0.701151	+	0.713012i	$0.252670\pi$
$278$	−15.5401	−	5.18110i	−0.932035	−	0.310742i
$279$	15.9904			0.957322
$280$	7.15519	+	2.19163i	0.427605	+	0.130975i
$281$	19.8252			1.18267			0.591337	−	0.806425i	$-0.298600\pi$
$281$	19.8252			1.18267			0.591337	+	0.806425i	$0.298600\pi$
$282$	1.53914	+	0.513150i	0.0916542	+	0.0305576i
$283$	−8.33705	+	4.81340i	−0.495586	+	0.286127i	−0.726889	−	0.686755i	$-0.759035\pi$
$283$	−8.33705	+	4.81340i	−0.495586	+	0.286127i	0.231303	+	0.972882i	$0.425701\pi$
$284$	19.1214	−	25.4887i	1.13465	−	1.51248i
$285$	−0.803524	+	1.39174i	−0.0475966	+	0.0824398i
$286$	26.9559	−	5.51440i	1.59394	−	0.326073i
$287$	−8.52427	−	3.39470i	−0.503172	−	0.200383i
$288$	8.84774	−	14.0542i	0.521358	−	0.828151i
$289$	4.81796	−	8.34495i	0.283409	−	0.490879i
$290$	3.17079	−	2.81136i	0.186195	−	0.165089i
$291$	1.01168	+	1.75228i	0.0593058	+	0.102721i
$292$	−16.3335	−	1.96989i	−0.955844	−	0.115279i
$293$	−0.487956			−0.0285067			−0.0142534	−	0.999898i	$-0.504537\pi$
$293$	−0.487956			−0.0285067			−0.0142534	+	0.999898i	$0.504537\pi$
$294$	−1.32441	+	2.13046i	−0.0772410	+	0.124251i
$295$		−	7.89225i		−	0.459505i
$296$	24.3589	−	1.99609i	1.41583	−	0.116021i
$297$	4.72737	−	2.72935i	0.274310	−	0.158373i
$298$	−12.2312	+	10.8447i	−0.708534	+	0.628216i
$299$	1.23943	+	0.715586i	0.0716782	+	0.0413834i
$300$	−0.199027	−	0.466092i	−0.0114908	−	0.0269098i
$301$	−5.22680	+	13.1248i	−0.301268	+	0.756499i
$302$	−4.56052	−	22.2930i	−0.262428	−	1.28282i
$303$	2.08470	+	1.20360i	0.119763	+	0.0691453i
$304$	−6.03111	+	24.6400i	−0.345908	+	1.41320i
$305$	−2.63069	−	4.55649i	−0.150633	−	0.260904i
$306$	20.3276	+	6.77724i	1.16205	+	0.387429i
$307$			11.8335i			0.675376i	0.941258	+	0.337688i	$0.109645\pi$
$307$			11.8335i			0.675376i	−0.941258	+	0.337688i	$0.890355\pi$
$308$	16.8616	+	9.18993i	0.960779	+	0.523645i
$309$			1.90105i			0.108147i
$310$	2.43630	−	7.30740i	0.138372	−	0.415032i
$311$	−2.29486	−	3.97481i	−0.130129	−	0.225391i	0.793597	−	0.608444i	$-0.208206\pi$
$311$	−2.29486	−	3.97481i	−0.130129	−	0.225391i	−0.923726	+	0.383053i	$0.874873\pi$
$312$	1.64301	−	3.47340i	0.0930169	−	0.196642i
$313$	17.7907	+	10.2714i	1.00559	+	0.580577i	0.909897	−	0.414834i	$-0.136160\pi$
$313$	17.7907	+	10.2714i	1.00559	+	0.580577i	0.0956913	+	0.995411i	$0.469494\pi$
$314$	2.98978	−	0.611622i	0.168723	−	0.0345159i
$315$	−7.68629	+	1.11933i	−0.433073	+	0.0630673i
$316$	−9.01726	−	21.1171i	−0.507260	−	1.18793i
$317$	−6.76332	−	3.90481i	−0.379866	−	0.219316i	0.297894	−	0.954599i	$-0.403716\pi$
$317$	−6.76332	−	3.90481i	−0.379866	−	0.219316i	−0.677760	+	0.735283i	$0.737049\pi$
$318$	0.850232	+	0.958935i	0.0476786	+	0.0537744i
$319$	9.41755	−	5.43723i	0.527282	−	0.304426i
$320$	−5.07453	−	6.18459i	−0.283675	−	0.345729i
$321$		−	1.89419i		−	0.105724i
$322$	0.339131	+	0.939546i	0.0188990	+	0.0523589i
$323$	−32.7303			−1.82116
$324$	−2.01785	+	16.7312i	−0.112103	+	0.929509i
$325$	2.68049	+	4.64274i	0.148687	+	0.257533i
$326$	1.12300	+	1.26658i	0.0621975	+	0.0701495i
$327$	−2.47066	+	4.27931i	−0.136628	+	0.236646i
$328$	5.58183	+	8.06580i	0.308205	+	0.445359i
$329$	−7.42137	−	9.40195i	−0.409153	−	0.518346i
$330$	−0.260656	−	1.27416i	−0.0143486	−	0.0701401i
$331$	6.35126	−	11.0007i	0.349097	−	0.604654i	−0.636992	−	0.770870i	$-0.719822\pi$
$331$	6.35126	−	11.0007i	0.349097	−	0.604654i	0.986089	+	0.166216i	$0.0531550\pi$
$332$	−6.91090	+	9.21219i	−0.379285	+	0.505584i
$333$	−21.9695	+	12.6841i	−1.20392	+	0.695085i
$334$	−5.84268	+	17.5245i	−0.319697	+	0.958897i
$335$	1.92731			0.105300
$336$	2.43969	−	1.11347i	0.133096	−	0.0607446i
$337$	13.8789			0.756033			0.378016	−	0.925799i	$-0.376606\pi$
$337$	13.8789			0.756033			0.378016	+	0.925799i	$0.376606\pi$
$338$	−7.04044	+	21.1170i	−0.382949	+	1.14861i
$339$	4.56852	−	2.63763i	0.248128	−	0.143257i
$340$	6.19421	−	8.25684i	0.335928	−	0.447790i
$341$	9.88333	−	17.1184i	0.535213	−	0.927015i
$342$	−5.27713	−	25.7960i	−0.285354	−	1.39489i
$343$	16.8046	−	7.78501i	0.907362	−	0.420351i
$344$	12.4189	−	8.59431i	0.669580	−	0.463374i
$345$	0.0338245	−	0.0585857i	0.00182105	−	0.00315415i
$346$	−23.1941	−	26.1595i	−1.24692	−	1.40634i
$347$	−6.43516	−	11.1460i	−0.345457	−	0.598350i	0.639979	−	0.768392i	$-0.278943\pi$
$347$	−6.43516	−	11.1460i	−0.345457	−	0.598350i	−0.985437	+	0.170042i	$0.945610\pi$
$348$	0.181836	−	1.50771i	0.00974743	−	0.0808216i
$349$	−21.0526			−1.12692			−0.563460	−	0.826143i	$-0.690530\pi$
$349$	−21.0526			−1.12692			−0.563460	+	0.826143i	$0.690530\pi$
$350$	−0.659561	+	3.68307i	−0.0352550	+	0.196868i
$351$			8.06371i			0.430409i
$352$	−9.57702	−	18.1585i	−0.510457	−	0.967850i
$353$	−25.8483	+	14.9235i	−1.37577	+	0.794298i	−0.991647	−	0.128985i	$-0.958828\pi$
$353$	−25.8483	+	14.9235i	−1.37577	+	0.794298i	−0.384119	+	0.923284i	$0.625495\pi$
$354$	−1.87638	−	2.11627i	−0.0997283	−	0.112479i
$355$	13.7974	+	7.96595i	0.732292	+	0.422789i
$356$	−4.33051	−	10.1414i	−0.229517	−	0.537493i
$357$	2.14385	+	2.71599i	0.113465	+	0.143745i
$358$	17.9565	−	3.67338i	0.949030	−	0.194144i
$359$	−16.5346	−	9.54628i	−0.872665	−	0.503833i	−0.00443178	−	0.999990i	$-0.501411\pi$
$359$	−16.5346	−	9.54628i	−0.872665	−	0.503833i	−0.868233	+	0.496157i	$0.834744\pi$
$360$	7.50624	+	3.55065i	0.395614	+	0.187135i
$361$	10.6095	+	18.3762i	0.558396	+	0.967169i
$362$	4.72636	−	14.1762i	0.248412	−	0.745084i
$363$		−	0.549963i		−	0.0288656i
$364$	−24.2109	+	14.7835i	−1.26900	+	0.774864i
$365$		−	8.22591i		−	0.430564i
$366$	−1.78871	−	0.596358i	−0.0934974	−	0.0311721i
$367$	−4.90832	−	8.50146i	−0.256212	−	0.443773i	0.709012	−	0.705197i	$-0.249141\pi$
$367$	−4.90832	−	8.50146i	−0.256212	−	0.443773i	−0.965224	+	0.261424i	$0.915808\pi$
$368$	0.253881	−	1.03723i	0.0132344	−	0.0540692i
$369$	−8.81717	−	5.09059i	−0.459003	−	0.265006i
$370$	2.44919	+	11.9723i	0.127327	+	0.622411i
$371$	−1.36349	−	9.36290i	−0.0707890	−	0.486097i
$372$	−1.08405	−	2.53868i	−0.0562052	−	0.131624i
$373$	20.2929	+	11.7161i	1.05072	+	0.606636i	0.922852	−	0.385154i	$-0.125852\pi$
$373$	20.2929	+	11.7161i	1.05072	+	0.606636i	0.127873	+	0.991791i	$0.459185\pi$
$374$	19.8194	−	17.5727i	1.02483	−	0.908662i
$375$	0.219454	−	0.126702i	0.0113326	−	0.00654286i
$376$	1.04581	+	12.7623i	0.0539334	+	0.658164i
$377$			16.0640i			0.827337i
$378$	−3.62911	+	4.30164i	−0.186661	+	0.221253i
$379$	10.7259			0.550954			0.275477	−	0.961308i	$-0.411164\pi$
$379$	10.7259			0.550954			0.275477	+	0.961308i	$0.411164\pi$
$380$	−12.5924	−	1.51870i	−0.645979	−	0.0779078i
$381$	−1.06952	−	1.85246i	−0.0547932	−	0.0949046i
$382$	4.19081	−	3.71575i	0.214420	−	0.190114i
$383$	−0.700673	+	1.21360i	−0.0358027	+	0.0620122i	−0.883372	−	0.468673i	$-0.844732\pi$
$383$	−0.700673	+	1.21360i	−0.0358027	+	0.0620122i	0.847569	+	0.530686i	$0.178065\pi$
$384$	−2.83110	−	0.451905i	−0.144474	−	0.0230612i
$385$	−3.55243	+	8.92033i	−0.181049	+	0.454622i
$386$	−19.7999	+	4.05049i	−1.00779	+	0.206165i
$387$	−7.83796	+	13.5757i	−0.398426	+	0.690094i
$388$	−9.58325	+	12.7744i	−0.486516	+	0.648522i
$389$	−2.49049	+	1.43789i	−0.126273	+	0.0729037i	−0.561806	−	0.827269i	$-0.689893\pi$
$389$	−2.49049	+	1.43789i	−0.126273	+	0.0729037i	0.435533	+	0.900173i	$0.356560\pi$
$390$	1.82257	+	0.607647i	0.0922893	+	0.0307694i
$391$	1.37779			0.0696777
$392$	−19.5689	−	3.00990i	−0.988377	−	0.152023i
$393$	1.38975			0.0701036
$394$	5.43652	+	1.81254i	0.273888	+	0.0913146i
$395$	9.94273	−	5.74044i	0.500273	−	0.288833i
$396$	17.0452	+	12.7872i	0.856554	+	0.642579i
$397$	1.26251	−	2.18672i	0.0633633	−	0.109749i	−0.832603	−	0.553870i	$-0.813151\pi$
$397$	1.26251	−	2.18672i	0.0633633	−	0.109749i	0.895967	+	0.444121i	$0.146484\pi$
$398$	−3.79965	+	0.777300i	−0.190459	+	0.0389625i
$399$	1.57310	−	3.95014i	0.0787536	−	0.197754i
$400$	2.76624	−	2.88927i	0.138312	−	0.144464i
$401$	−19.3792	+	33.5657i	−0.967749	+	1.67619i	−0.265707	+	0.964054i	$0.585606\pi$
$401$	−19.3792	+	33.5657i	−0.967749	+	1.67619i	−0.702041	+	0.712136i	$0.747728\pi$
$402$	0.516799	−	0.458216i	0.0257756	−	0.0228537i
$403$	14.5999	+	25.2877i	0.727271	+	1.25967i
$404$	−2.27488	+	18.8623i	−0.113179	+	0.938435i
$405$	−8.42620			−0.418701
$406$	−7.22967	+	8.56945i	−0.358802	+	0.425294i
$407$			31.3591i			1.55441i
$408$	−0.302108	−	3.68671i	−0.0149566	−	0.182519i
$409$	2.68850	−	1.55221i	0.132938	−	0.0767518i	−0.432056	−	0.901847i	$-0.642212\pi$
$409$	2.68850	−	1.55221i	0.132938	−	0.0767518i	0.564994	+	0.825095i	$0.308878\pi$
$410$	−3.66971	+	3.25372i	−0.181234	+	0.160690i
$411$	−1.84904	−	1.06754i	−0.0912062	−	0.0526579i
$412$	−13.7987	+	5.89223i	−0.679815	+	0.290289i
$413$	3.00909	+	20.6630i	0.148068	+	1.01676i
$414$	0.222142	+	1.08589i	0.0109177	+	0.0533685i
$415$	−4.98670	−	2.87907i	−0.244787	−	0.141328i
$416$	30.3040	+	1.16006i	1.48578	+	0.0568766i
$417$	−1.46761	−	2.54197i	−0.0718691	−	0.124481i
$418$	−30.8774	−	10.2946i	−1.51026	−	0.503524i
$419$		−	11.1649i		−	0.545441i	−0.962093	−	0.272720i	$-0.912077\pi$
$419$		−	11.1649i		−	0.545441i	0.962093	−	0.272720i	$-0.0879234\pi$
$420$	0.698788	+	1.14441i	0.0340974	+	0.0558414i
$421$		−	35.1106i		−	1.71119i	−0.517648	−	0.855594i	$-0.673192\pi$
$421$		−	35.1106i		−	1.71119i	0.517648	−	0.855594i	$-0.326808\pi$
$422$	1.07848	−	3.23479i	0.0524997	−	0.157467i
$423$	−6.64555	−	11.5104i	−0.323118	−	0.559656i
$424$	−4.32515	+	9.14358i	−0.210048	+	0.444051i
$425$	4.46956	+	2.58050i	0.216805	+	0.125173i
$426$	5.59362	−	1.14429i	0.271012	−	0.0554413i
$427$	8.62476	+	10.9265i	0.417381	+	0.528770i
$428$	13.7490	−	5.87099i	0.664582	−	0.283785i
$429$	4.26958	+	2.46504i	0.206137	+	0.119013i
$430$	5.00973	+	5.65023i	0.241591	+	0.272478i
$431$	12.4675	−	7.19809i	0.600536	−	0.346720i	−0.168716	−	0.985665i	$-0.553962\pi$
$431$	12.4675	−	7.19809i	0.600536	−	0.346720i	0.769253	+	0.638945i	$0.220629\pi$
$432$	5.77635	−	1.68324i	0.277915	−	0.0809847i
$433$		−	36.8668i		−	1.77171i	−0.463967	−	0.885853i	$-0.653574\pi$
$433$		−	36.8668i		−	1.77171i	0.463967	−	0.885853i	$-0.346426\pi$
$434$	−3.59245	+	20.0607i	−0.172443	+	0.962942i
$435$	0.759316			0.0364064
$436$	−38.7190	−	4.66968i	−1.85430	−	0.223637i
$437$	−0.846514	−	1.46621i	−0.0404943	−	0.0701381i
$438$	−1.95570	−	2.20574i	−0.0934472	−	0.105394i
$439$	−18.4785	+	32.0057i	−0.881930	+	1.52755i	−0.0327369	+	0.999464i	$0.510422\pi$
$439$	−18.4785	+	32.0057i	−0.881930	+	1.52755i	−0.849193	+	0.528083i	$0.822911\pi$
$440$	8.44056	−	5.84118i	0.402388	−	0.278467i
$441$	19.6970	−	5.86113i	0.937951	−	0.279101i
$442$	7.84214	+	38.3345i	0.373012	+	1.82339i
$443$	10.7895	−	18.6880i	0.512626	−	0.887895i	−0.487267	−	0.873253i	$-0.662006\pi$
$443$	10.7895	−	18.6880i	0.512626	−	0.887895i	0.999893	−	0.0146414i	$-0.00466067\pi$
$444$	3.50315	+	2.62803i	0.166252	+	0.124721i
$445$	4.77496	−	2.75683i	0.226355	−	0.130686i
$446$	−8.89414	+	26.6770i	−0.421150	+	1.26319i
$447$	−2.92903			−0.138538
$448$	15.6438	+	14.2573i	0.739101	+	0.673595i
$449$	−31.7876			−1.50015			−0.750075	−	0.661353i	$-0.769983\pi$
$449$	−31.7876			−1.50015			−0.750075	+	0.661353i	$0.769983\pi$
$450$	−1.31316	+	3.93869i	−0.0619032	+	0.185672i
$451$	−10.8994	+	6.29277i	−0.513233	+	0.296315i
$452$	33.3052	+	24.9852i	1.56654	+	1.17521i
$453$	2.03864	−	3.53102i	0.0957835	−	0.165902i
$454$	7.01909	+	34.3112i	0.329422	+	1.61031i
$455$	−8.78802	−	11.1333i	−0.411989	−	0.521938i
$456$	−3.73768	+	2.58661i	−0.175033	+	0.121129i
$457$	11.5642	−	20.0298i	0.540950	−	0.936954i	−0.457899	−	0.889004i	$-0.651398\pi$
$457$	11.5642	−	20.0298i	0.540950	−	0.936954i	0.998850	−	0.0479496i	$-0.0152687\pi$
$458$	−11.2247	−	12.6598i	−0.524494	−	0.591551i
$459$	3.88146	+	6.72289i	0.181171	+	0.313797i
$460$	0.530081	+	0.0639301i	0.0247152	+	0.00298076i
$461$	9.98126			0.464874			0.232437	−	0.972611i	$-0.425330\pi$
$461$	9.98126			0.464874			0.232437	+	0.972611i	$0.425330\pi$
$462$	1.16823	+	3.23654i	0.0543512	+	0.150577i
$463$		−	24.3501i		−	1.13165i	−0.824527	−	0.565823i	$-0.808558\pi$
$463$		−	24.3501i		−	1.13165i	0.824527	−	0.565823i	$-0.191442\pi$
$464$	11.5073	−	3.35323i	0.534211	−	0.155670i
$465$	1.19531	−	0.690110i	0.0554310	−	0.0320031i
$466$	10.4135	+	11.7448i	0.482394	+	0.544069i
$467$	−22.6077	−	13.0525i	−1.04616	−	0.604000i	−0.124587	−	0.992209i	$-0.539761\pi$
$467$	−22.6077	−	13.0525i	−1.04616	−	0.604000i	−0.921571	+	0.388209i	$0.873094\pi$
$468$	−28.9485	+	12.3614i	−1.33815	+	0.571406i
$469$	−5.04595	+	0.734828i	−0.233000	+	0.0339312i
$470$	−6.27262	+	1.28320i	−0.289334	+	0.0591895i
$471$	0.473554	+	0.273407i	0.0218202	+	0.0125979i
$472$	9.54517	−	20.1790i	0.439352	−	0.928812i
$473$	9.68894	+	16.7817i	0.445498	+	0.771625i
$474$	1.30131	−	3.90315i	0.0597714	−	0.179278i
$475$		−	6.34185i		−	0.290984i
$476$	−13.0692	+	23.9792i	−0.599025	+	1.09909i
$477$		−	10.4989i		−	0.480710i
$478$	−33.2951	−	11.1006i	−1.52288	−	0.507731i
$479$	−3.24704	−	5.62403i	−0.148361	−	0.256969i	0.782261	−	0.622951i	$-0.214066\pi$
$479$	−3.24704	−	5.62403i	−0.148361	−	0.256969i	−0.930622	+	0.365982i	$0.880733\pi$
$480$	0.0548340	−	1.43242i	0.00250282	−	0.0653807i
$481$	−40.1181	−	23.1622i	−1.82923	−	1.05610i
$482$	3.22366	+	15.7582i	0.146834	+	0.717764i
$483$	−0.0662200	+	0.166282i	−0.00301311	+	0.00756608i
$484$	3.99190	−	1.70459i	0.181450	−	0.0774814i
$485$	−6.91499	−	3.99237i	−0.313993	−	0.181284i
$486$	−7.03442	+	6.23701i	−0.319088	+	0.282917i
$487$	0.244780	−	0.141324i	0.0110921	−	0.00640400i	−0.494444	−	0.869210i	$-0.664628\pi$
$487$	0.244780	−	0.141324i	0.0110921	−	0.00640400i	0.505536	+	0.862806i	$0.331295\pi$
$488$	−1.21539	−	14.8317i	−0.0550180	−	0.671400i
$489$			0.303311i			0.0137162i
$490$	0.322569	−	9.89424i	0.0145722	−	0.446976i
$491$	18.1902			0.820912			0.410456	−	0.911880i	$-0.365370\pi$
$491$	18.1902			0.820912			0.410456	+	0.911880i	$0.365370\pi$
$492$	−0.210448	+	1.74494i	−0.00948771	+	0.0786681i
$493$	7.73239	+	13.3929i	0.348249	+	0.603185i
$494$	35.9764	−	31.8982i	1.61865	−	1.43517i
$495$	−5.32712	+	9.22684i	−0.239436	+	0.414716i
$496$	15.0670	−	15.7371i	0.676527	−	0.706616i
$497$	−39.1607	−	15.5954i	−1.75660	−	0.699548i
$498$	−2.02166	+	0.413573i	−0.0905927	+	0.0185327i
$499$	−0.608016	+	1.05312i	−0.0272185	+	0.0471439i	−0.879314	−	0.476243i	$-0.841998\pi$
$499$	−0.608016	+	1.05312i	−0.0272185	+	0.0471439i	0.852095	+	0.523387i	$0.175332\pi$
$500$	1.59985	+	1.20020i	0.0715476	+	0.0536744i
$501$	−2.86656	+	1.65501i	−0.128069	+	0.0739404i
$502$	−12.0535	−	4.01866i	−0.537975	−	0.179361i
$503$	37.9355			1.69146			0.845729	−	0.533612i	$-0.179166\pi$
$503$	37.9355			1.69146			0.845729	+	0.533612i	$0.179166\pi$
$504$	−21.0061	−	6.43415i	−0.935687	−	0.286600i
$505$	−9.49950			−0.422722
$506$	1.29979	+	0.433352i	0.0577828	+	0.0192648i
$507$	−3.45421	+	1.99429i	−0.153407	+	0.0885695i
$508$	10.1311	−	13.5047i	0.449496	−	0.599176i
$509$	5.30256	−	9.18430i	0.235032	−	0.407087i	−0.724250	−	0.689537i	$-0.757814\pi$
$509$	5.30256	−	9.18430i	0.235032	−	0.407087i	0.959282	+	0.282450i	$0.0911473\pi$
$510$	1.81200	−	0.370684i	0.0802369	−	0.0164142i
$511$	3.13631	+	21.5365i	0.138742	+	0.952721i
$512$	−5.49474	−	21.9501i	−0.242835	−	0.970068i
$513$	4.76955	−	8.26110i	0.210581	−	0.364736i
$514$	2.57084	−	2.27941i	0.113395	−	0.100541i
$515$	−3.75103	−	6.49697i	−0.165290	−	0.286291i
$516$	2.68668	+	0.324025i	0.118274	+	0.0142644i
$517$	−16.4299			−0.722585
$518$	−10.9770	−	30.4113i	−0.482303	−	1.33620i
$519$		−	6.26448i		−	0.274980i
$520$	1.23839	+	15.1125i	0.0543072	+	0.662725i
$521$	−1.18563	+	0.684522i	−0.0519432	+	0.0299894i	−0.525747	−	0.850641i	$-0.676214\pi$
$521$	−1.18563	+	0.684522i	−0.0519432	+	0.0299894i	0.473803	+	0.880631i	$0.342881\pi$
$522$	−9.30876	+	8.25354i	−0.407434	+	0.361248i
$523$	−1.24052	−	0.716212i	−0.0542439	−	0.0313178i	0.472633	−	0.881259i	$-0.343304\pi$
$523$	−1.24052	−	0.716212i	−0.0542439	−	0.0313178i	−0.526877	+	0.849942i	$0.676637\pi$
$524$	4.30748	+	10.0875i	0.188173	+	0.440673i
$525$	−0.526253	+	0.415394i	−0.0229675	+	0.0181293i
$526$	0.652092	+	3.18761i	0.0284326	+	0.138986i
$527$	24.3445	+	14.0553i	1.06046	+	0.612257i
$528$	0.874565	−	3.57302i	0.0380606	−	0.155496i
$529$	−11.4644	−	19.8569i	−0.498451	−	0.863342i
$530$	−4.79784	−	1.59960i	−0.208405	−	0.0694824i
$531$			23.1700i			1.00549i
$532$	33.5478	−	0.824978i	1.45448	−	0.0357673i
$533$		−	18.5916i		−	0.805293i
$534$	0.624952	−	1.87448i	0.0270443	−	0.0811165i
$535$	3.73750	+	6.47354i	0.161586	+	0.279876i
$536$	4.92775	+	2.33095i	0.212847	+	0.100682i
$537$	2.84415	+	1.64207i	0.122734	+	0.0708606i
$538$	1.68799	−	0.345314i	0.0727744	−	0.0148876i
$539$	5.89967	−	24.7091i	0.254117	−	1.06430i
$540$	1.18138	+	2.76662i	0.0508387	+	0.119057i
$541$	1.20272	+	0.694390i	0.0517089	+	0.0298542i	0.525632	−	0.850712i	$-0.323829\pi$
$541$	1.20272	+	0.694390i	0.0517089	+	0.0298542i	−0.473923	+	0.880566i	$0.657162\pi$
$542$	−22.7223	−	25.6273i	−0.976005	−	1.10079i
$543$	2.31887	−	1.33880i	0.0995120	−	0.0574533i
$544$	25.8235	−	13.6197i	1.10717	−	0.583938i
$545$		−	19.4998i		−	0.835279i
$546$	−5.00341	−	0.896007i	−0.214126	−	0.0383455i
$547$	43.0700			1.84154			0.920770	−	0.390106i	$-0.127562\pi$
$547$	43.0700			1.84154			0.920770	+	0.390106i	$0.127562\pi$
$548$	2.01771	−	16.7300i	0.0861923	−	0.714670i
$549$	7.72314	+	13.3769i	0.329616	+	0.570911i
$550$	3.40490	+	3.84022i	0.145185	+	0.163747i
$551$	9.50157	−	16.4572i	0.404781	−	0.701100i
$552$	0.157338	−	0.108884i	0.00669677	−	0.00463441i
$553$	−23.8427	+	18.8201i	−1.01390	+	0.800313i
$554$	2.36536	+	11.5625i	0.100494	+	0.491244i
$555$	−1.09484	+	1.89631i	−0.0464732	+	0.0804939i
$556$	13.9021	−	18.5314i	0.589579	−	0.785905i
$557$	20.0779	−	11.5920i	0.850727	−	0.491167i	−0.0101693	−	0.999948i	$-0.503237\pi$
$557$	20.0779	−	11.5920i	0.850727	−	0.491167i	0.860896	+	0.508781i	$0.169904\pi$
$558$	−7.15245	+	21.4530i	−0.302787	+	0.908177i
$559$	−28.6254			−1.21073
$560$	−6.14080	+	8.61920i	−0.259496	+	0.364228i
$561$	4.74619			0.200384
$562$	−8.86774	+	26.5978i	−0.374063	+	1.12196i
$563$	20.3256	−	11.7350i	0.856620	−	0.494570i	−0.00625865	−	0.999980i	$-0.501992\pi$
$563$	20.3256	−	11.7350i	0.856620	−	0.494570i	0.862879	+	0.505410i	$0.168659\pi$
$564$	−1.37690	+	1.83540i	−0.0579778	+	0.0772841i
$565$	−10.4088	+	18.0286i	−0.437902	+	0.758469i
$566$	−2.72859	−	13.3381i	−0.114691	−	0.560643i
$567$	22.0609	−	3.21268i	0.926472	−	0.134920i
$568$	25.6431	+	37.0545i	1.07596	+	1.55477i
$569$	1.75158	−	3.03382i	0.0734300	−	0.127185i	−0.826972	−	0.562242i	$-0.809939\pi$
$569$	1.75158	−	3.03382i	0.0734300	−	0.127185i	0.900402	+	0.435058i	$0.143272\pi$
$570$	−1.50777	−	1.70054i	−0.0631535	−	0.0712278i
$571$	−6.67971	−	11.5696i	−0.279537	−	0.484172i	0.691733	−	0.722154i	$-0.256848\pi$
$571$	−6.67971	−	11.5696i	−0.279537	−	0.484172i	−0.971270	+	0.237981i	$0.923514\pi$
$572$	−4.65906	+	38.6310i	−0.194805	+	1.61524i
$573$	1.00358			0.0419252
$574$	8.36725	−	9.91784i	0.349242	−	0.413963i
$575$			0.266961i			0.0111331i
$576$	14.8977	+	18.1566i	0.620739	+	0.756526i
$577$	−29.5233	+	17.0453i	−1.22907	+	0.709604i	−0.966835	−	0.255401i	$-0.917793\pi$
$577$	−29.5233	+	17.0453i	−1.22907	+	0.709604i	−0.262234	+	0.965004i	$0.584459\pi$
$578$	9.04064	+	10.1965i	0.376041	+	0.424118i
$579$	−3.13613	−	1.81065i	−0.130333	−	0.0752479i
$580$	2.35347	+	5.51148i	0.0977227	+	0.228852i
$581$	14.1536	+	5.63651i	0.587189	+	0.233842i
$582$	−2.80341	+	0.573496i	−0.116205	+	0.0237722i
$583$	−11.2395	−	6.48912i	−0.465492	−	0.268752i
$584$	9.94871	−	21.0321i	0.411681	−	0.870313i
$585$	−7.86933	−	13.6301i	−0.325357	−	0.563535i
$586$	0.218261	−	0.654649i	0.00901627	−	0.0270433i
$587$		−	8.77581i		−	0.362216i	−0.983463	−	0.181108i	$-0.942032\pi$
$587$		−	8.77581i		−	0.362216i	0.983463	−	0.181108i	$-0.0579684\pi$
$588$	−2.26585	−	2.72979i	−0.0934422	−	0.112575i
$589$		−	34.5423i		−	1.42329i
$590$	10.5884	+	3.53017i	0.435915	+	0.145335i
$591$	0.513425	+	0.889277i	0.0211195	+	0.0365800i
$592$	−8.21764	+	33.5731i	−0.337743	+	1.37984i
$593$	−5.54851	−	3.20343i	−0.227850	−	0.131549i	0.381730	−	0.924274i	$-0.375328\pi$
$593$	−5.54851	−	3.20343i	−0.227850	−	0.131549i	−0.609580	+	0.792725i	$0.708662\pi$
$594$	1.54720	+	7.56313i	0.0634824	+	0.310319i
$595$	−12.6858	−	5.05198i	−0.520066	−	0.207111i
$596$	−9.07842	−	21.2603i	−0.371867	−	0.870856i
$597$	−0.601832	−	0.347468i	−0.0246313	−	0.0142209i
$598$	−1.51443	+	1.34276i	−0.0619297	+	0.0549095i
$599$	−13.6488	+	7.88017i	−0.557677	+	0.321975i	−0.752213	−	0.658921i	$-0.771013\pi$
$599$	−13.6488	+	7.88017i	−0.557677	+	0.321975i	0.194536	+	0.980895i	$0.437680\pi$
$600$	0.714340	−	0.0585367i	0.0291628	−	0.00238975i
$601$		−	23.5644i		−	0.961213i	−0.876936	−	0.480606i	$-0.840417\pi$
$601$		−	23.5644i		−	0.961213i	0.876936	−	0.480606i	$-0.159583\pi$
$602$	−15.2704	−	12.8830i	−0.622376	−	0.525072i
$603$	−5.65816			−0.230418
$604$	31.9485	+	3.85313i	1.29997	+	0.156782i
$605$	1.08515	+	1.87954i	0.0441177	+	0.0764141i
$606$	−2.54725	+	2.25850i	−0.103475	+	0.0917453i
$607$	23.5467	−	40.7841i	0.955733	−	1.65538i	0.223050	−	0.974807i	$-0.428399\pi$
$607$	23.5467	−	40.7841i	0.955733	−	1.65538i	0.732683	−	0.680570i	$-0.238268\pi$
$608$	−30.3597	−	19.1128i	−1.23125	−	0.775126i
$609$	−1.98799	+	0.289506i	−0.0805575	+	0.0117314i
$610$	7.28974	−	1.49127i	0.295153	−	0.0603798i
$611$	12.1353	−	21.0189i	0.490941	−	0.850335i
$612$	−18.1849	+	24.2403i	−0.735080	+	0.979857i
$613$	28.4900	−	16.4487i	1.15070	−	0.664357i	0.201642	−	0.979459i	$-0.435372\pi$
$613$	28.4900	−	16.4487i	1.15070	−	0.664357i	0.949058	+	0.315102i	$0.102039\pi$
$614$	−15.8760	−	5.29309i	−0.640705	−	0.213612i
$615$	−0.878794			−0.0354364
$616$	−19.8715	+	18.5111i	−0.800644	+	0.745835i
$617$	6.76738			0.272444			0.136222	−	0.990678i	$-0.456504\pi$
$617$	6.76738			0.272444			0.136222	+	0.990678i	$0.456504\pi$
$618$	−2.55047	−	0.850331i	−0.102595	−	0.0342053i
$619$	13.7468	−	7.93673i	0.552531	−	0.319004i	−0.197611	−	0.980281i	$-0.563318\pi$
$619$	13.7468	−	7.93673i	0.552531	−	0.319004i	0.750142	+	0.661276i	$0.229985\pi$
$620$	8.71396	+	6.53714i	0.349961	+	0.262538i
$621$	−0.200775	+	0.347752i	−0.00805682	+	0.0139548i
$622$	6.35914	−	1.30090i	0.254978	−	0.0521612i
$623$	−11.4504	+	9.03830i	−0.458750	+	0.362112i
$624$	3.92505	+	3.75791i	0.157128	+	0.150437i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	−21.7380	+	19.2738i	−0.868825	+	0.770337i
$627$	−2.91606	−	5.05077i	−0.116456	−	0.201708i
$628$	−0.516753	+	4.28470i	−0.0206207	+	0.170978i
$629$	−44.5964			−1.77817
$630$	1.93633	−	10.8127i	0.0771452	−	0.430788i
$631$			18.6006i			0.740479i	0.928936	+	0.370240i	$0.120724\pi$
$631$			18.6006i			0.740479i	−0.928936	+	0.370240i	$0.879276\pi$
$632$	32.3643	−	2.65210i	1.28738	−	0.105495i
$633$	0.529130	−	0.305493i	0.0210310	−	0.0121423i
$634$	8.26395	−	7.32716i	0.328203	−	0.290999i
$635$	7.31032	+	4.22062i	0.290101	+	0.167490i
$636$	−1.66682	+	0.711755i	−0.0660939	+	0.0282229i
$637$	27.2530	+	25.7979i	1.07980	+	1.02215i
$638$	3.08223	+	15.0668i	0.122027	+	0.596499i
$639$	−40.5063	−	23.3863i	−1.60241	−	0.925149i
$640$	10.5671	−	4.04172i	0.417703	−	0.159763i
$641$	−3.77857	−	6.54468i	−0.149245	−	0.258499i	0.781704	−	0.623650i	$-0.214351\pi$
$641$	−3.77857	−	6.54468i	−0.149245	−	0.258499i	−0.930948	+	0.365151i	$0.881018\pi$
$642$	2.54128	+	0.847264i	0.100296	+	0.0334389i
$643$		−	21.9243i		−	0.864609i	−0.901728	−	0.432305i	$-0.857701\pi$
$643$		−	21.9243i		−	0.864609i	0.901728	−	0.432305i	$-0.142299\pi$
$644$	−1.41220	+	0.0347276i	−0.0556485	+	0.00136846i
$645$			1.35307i			0.0532772i
$646$	14.6401	−	43.9114i	0.576007	−	1.72767i
$647$	11.3244	+	19.6144i	0.445207	+	0.771120i	0.998067	−	0.0621538i	$-0.0197969\pi$
$647$	11.3244	+	19.6144i	0.445207	+	0.771120i	−0.552860	+	0.833274i	$0.686464\pi$
$648$	−21.5442	−	10.1909i	−0.846335	−	0.400338i
$649$	24.8044	+	14.3208i	0.973659	+	0.562143i
$650$	−7.42773	+	1.51950i	−0.291339	+	0.0595997i
$651$	−2.86635	+	2.26254i	−0.112341	+	0.0886759i
$652$	−2.20158	+	0.940102i	−0.0862204	+	0.0368172i
$653$	3.05556	+	1.76413i	0.119573	+	0.0690357i	0.558594	−	0.829441i	$-0.311341\pi$
$653$	3.05556	+	1.76413i	0.119573	+	0.0690357i	−0.439020	+	0.898477i	$0.644674\pi$
$654$	−4.63606	−	5.22878i	−0.181284	−	0.204462i
$655$	−4.74957	+	2.74216i	−0.185581	+	0.107145i
$656$	−13.3179	+	3.88086i	−0.519977	+	0.151522i
$657$			24.1495i			0.942162i
$658$	15.9333	−	5.75116i	0.621146	−	0.224204i
$659$	37.5143			1.46135			0.730676	−	0.682725i	$-0.239205\pi$
$659$	37.5143			1.46135			0.730676	+	0.682725i	$0.239205\pi$
$660$	1.82602	+	0.220226i	0.0710777	+	0.00857227i
$661$	14.6573	+	25.3871i	0.570102	+	0.987445i	0.996555	+	0.0829357i	$0.0264296\pi$
$661$	14.6573	+	25.3871i	0.570102	+	0.987445i	−0.426453	+	0.904510i	$0.640237\pi$
$662$	11.9178	+	13.4415i	0.463199	+	0.522419i
$663$	−3.50558	+	6.07185i	−0.136146	+	0.235811i
$664$	−9.26798	−	13.3923i	−0.359667	−	0.519723i
$665$	2.41797	+	16.6038i	0.0937648	+	0.643868i
$666$	−7.19031	−	35.1482i	−0.278619	−	1.36196i
$667$	−0.399971	+	0.692769i	−0.0154869	+	0.0268241i
$668$	−20.8977	−	15.6772i	−0.808555	−	0.606571i
$669$	−4.36368	+	2.51937i	−0.168710	+	0.0974046i
$670$	−0.862076	+	2.58570i	−0.0333049	+	0.0998943i
$671$	19.0940			0.737116
$672$	0.402578	+	3.77117i	0.0155298	+	0.145476i
$673$	−16.3062			−0.628558			−0.314279	−	0.949331i	$-0.601763\pi$
$673$	−16.3062			−0.628558			−0.314279	+	0.949331i	$0.601763\pi$
$674$	−6.20798	+	18.6201i	−0.239122	+	0.717221i
$675$	−1.30263	+	0.752075i	−0.0501383	+	0.0289474i
$676$	−25.1817	−	18.8911i	−0.968527	−	0.726580i
$677$	−17.9655	+	31.1171i	−0.690469	+	1.19593i	0.281216	+	0.959645i	$0.409262\pi$
$677$	−17.9655	+	31.1171i	−0.690469	+	1.19593i	−0.971684	+	0.236282i	$0.924071\pi$
$678$	1.49521	+	7.30898i	0.0574231	+	0.280700i
$679$	19.6265	+	7.81607i	0.753198	+	0.299953i
$680$	8.30685	+	12.0035i	0.318553	+	0.460313i
$681$	−3.13766	+	5.43459i	−0.120236	+	0.208254i
$682$	18.5456	+	20.9166i	0.710146	+	0.800939i
$683$	13.9429	+	24.1497i	0.533509	+	0.924064i	0.999234	+	0.0391349i	$0.0124602\pi$
$683$	13.9429	+	24.1497i	0.533509	+	0.924064i	−0.465725	+	0.884929i	$0.654206\pi$
$684$	36.9687	+	4.45859i	1.41353	+	0.170478i
$685$	8.42562			0.321926
$686$	2.92787	+	26.0274i	0.111786	+	0.993732i
$687$		−	3.03166i		−	0.115665i
$688$	5.97533	+	20.5055i	0.227807	+	0.781765i
$689$	16.6032	−	9.58587i	0.632532	−	0.365193i
$690$	0.0634699	+	0.0715845i	0.00241626	+	0.00272518i
$691$	20.9094	+	12.0721i	0.795432	+	0.459243i	0.841871	−	0.539678i	$-0.181454\pi$
$691$	20.9094	+	12.0721i	0.795432	+	0.459243i	−0.0464394	+	0.998921i	$0.514787\pi$
$692$	45.4706	−	19.4165i	1.72853	−	0.738106i
$693$	10.4292	−	26.1882i	0.396172	−	0.994807i
$694$	17.8321	−	3.64793i	0.676896	−	0.138473i
$695$	10.0313	+	5.79158i	0.380510	+	0.219687i
$696$	1.94143	+	0.918344i	0.0735895	+	0.0348097i
$697$	−8.94907	−	15.5002i	−0.338970	−	0.587113i
$698$	9.41674	−	28.2445i	0.356429	−	1.06907i
$699$			2.81256i			0.106381i
$700$	−4.64623	−	2.53229i	−0.175611	−	0.0957118i
$701$			14.4688i			0.546481i	0.961946	+	0.273240i	$0.0880954\pi$
$701$			14.4688i			0.546481i	−0.961946	+	0.273240i	$0.911905\pi$
$702$	−10.8184	−	3.60686i	−0.408313	−	0.136132i
$703$	27.4001	+	47.4583i	1.03341	+	1.78992i
$704$	28.6454	−	4.72645i	1.07961	−	0.178135i
$705$	−0.993528	−	0.573614i	−0.0374184	−	0.0216035i
$706$	−8.45976	−	41.3536i	−0.318387	−	1.55636i
$707$	24.8710	−	3.62189i	0.935369	−	0.136215i
$708$	3.67852	−	1.57077i	0.138247	−	0.0590333i
$709$	−16.2208	−	9.36506i	−0.609183	−	0.351712i	0.163462	−	0.986550i	$-0.447734\pi$
$709$	−16.2208	−	9.36506i	−0.609183	−	0.351712i	−0.772646	+	0.634837i	$0.781067\pi$
$710$	−16.8588	+	14.9477i	−0.632698	+	0.560977i
$711$	−29.1897	+	16.8527i	−1.09470	+	0.632025i
$712$	15.5429	−	1.27366i	0.582493	−	0.0477326i
$713$			1.45407i			0.0544552i
$714$	−4.60274	+	1.66137i	−0.172253	+	0.0621751i
$715$	−19.4555			−0.727593
$716$	−3.10360	+	25.7337i	−0.115987	+	0.961715i
$717$	−3.14439	−	5.44624i	−0.117429	−	0.203394i
$718$	20.2033	−	17.9131i	0.753980	−	0.668510i
$719$	14.8589	−	25.7364i	0.554145	−	0.959807i	−0.443824	−	0.896114i	$-0.646379\pi$
$719$	14.8589	−	25.7364i	0.554145	−	0.959807i	0.997970	−	0.0636936i	$-0.0202880\pi$
$720$	−8.12110	+	8.48229i	−0.302656	+	0.316116i
$721$	12.2978	+	15.5798i	0.457994	+	0.580221i
$722$	−29.3994	+	6.01427i	−1.09413	+	0.223828i
$723$	−1.44104	+	2.49595i	−0.0535928	+	0.0928255i
$724$	16.9049	+	12.6819i	0.628265	+	0.471319i
$725$	−2.59502	+	1.49823i	−0.0963765	+	0.0556430i
$726$	0.737838	+	0.245996i	0.0273837	+	0.00912977i
$727$	−7.23594			−0.268366			−0.134183	−	0.990957i	$-0.542841\pi$
$727$	−7.23594			−0.268366			−0.134183	+	0.990957i	$0.542841\pi$
$728$	−9.00424	−	39.0943i	−0.333719	−	1.44893i
$729$	23.5941			0.873854
$730$	11.0360	+	3.67941i	0.408460	+	0.136181i
$731$	−23.8656	+	13.7788i	−0.882702	+	0.509628i
$732$	1.60016	−	2.13301i	0.0591438	−	0.0788383i
$733$	11.4471	−	19.8270i	0.422810	−	0.732328i	−0.573403	−	0.819273i	$-0.694377\pi$
$733$	11.4471	−	19.8270i	0.422810	−	0.732328i	0.996213	+	0.0869452i	$0.0277105\pi$
$734$	13.6011	−	2.78240i	0.502027	−	0.102700i
$735$	1.21942	−	1.28820i	0.0449791	−	0.0475161i
$736$	1.27800	+	0.804556i	0.0471076	+	0.0296563i
$737$	−3.49719	+	6.05730i	−0.128821	+	0.223124i
$738$	10.7735	−	9.55223i	0.396578	−	0.351622i
$739$	−19.9700	−	34.5891i	−0.734610	−	1.27238i	−0.954894	−	0.296946i	$-0.904032\pi$
$739$	−19.9700	−	34.5891i	−0.734610	−	1.27238i	0.220284	−	0.975436i	$-0.429301\pi$
$740$	−17.1577	−	2.06930i	−0.630731	−	0.0760689i
$741$	8.61534			0.316492
$742$	13.1713	+	2.35870i	0.483533	+	0.0865906i
$743$			7.99702i			0.293382i	0.989182	+	0.146691i	$0.0468623\pi$
$743$			7.99702i			0.293382i	−0.989182	+	0.146691i	$0.953138\pi$
$744$	3.89081	−	0.318833i	0.142644	−	0.0116890i
$745$	10.0102	−	5.77937i	0.366744	−	0.211740i
$746$	−24.7954	+	21.9846i	−0.907823	+	0.804915i
$747$	14.6399	+	8.45234i	0.535645	+	0.309255i
$748$	14.7106	+	34.4501i	0.537874	+	1.25962i
$749$	−12.2535	−	15.5236i	−0.447732	−	0.567220i
$750$	0.0718241	+	0.351096i	0.00262264	+	0.0128202i
$751$	−11.9662	−	6.90868i	−0.436652	−	0.252101i	0.265524	−	0.964104i	$-0.414455\pi$
$751$	−11.9662	−	6.90868i	−0.436652	−	0.252101i	−0.702177	+	0.712003i	$0.747788\pi$
$752$	−17.5898	−	4.30544i	−0.641435	−	0.157003i
$753$	−1.13833	−	1.97165i	−0.0414832	−	0.0718509i
$754$	−21.5516	−	7.18535i	−0.784865	−	0.261675i
$755$			16.0900i			0.585576i
$756$	−4.14786	−	6.79297i	−0.150856	−	0.247058i
$757$		−	10.8579i		−	0.394636i	−0.980340	−	0.197318i	$-0.936777\pi$
$757$		−	10.8579i		−	0.394636i	0.980340	−	0.197318i	$-0.0632232\pi$
$758$	−4.79766	+	14.3900i	−0.174259	+	0.522670i
$759$	0.122752	+	0.212613i	0.00445562	+	0.00771736i
$760$	7.67006	−	16.2149i	0.278222	−	0.588176i
$761$	−39.6101	−	22.8689i	−1.43586	−	0.828996i	−0.438305	−	0.898826i	$-0.644421\pi$
$761$	−39.6101	−	22.8689i	−1.43586	−	0.828996i	−0.997559	+	0.0698299i	$0.977754\pi$
$762$	2.96368	−	0.606284i	0.107363	−	0.0219634i
$763$	7.43472	+	51.0531i	0.269155	+	1.84825i
$764$	3.11057	+	7.28448i	0.112536	+	0.263543i
$765$	−13.1217	−	7.57580i	−0.474415	−	0.273904i
$766$	−1.31478	−	1.48287i	−0.0475048	−	0.0535783i
$767$	−36.6416	+	21.1551i	−1.32305	+	0.763865i
$768$	1.87262	−	3.59610i	0.0675723	−	0.129763i
$769$			5.29591i			0.190976i	0.995431	+	0.0954878i	$0.0304411\pi$
$769$			5.29591i			0.190976i	−0.995431	+	0.0954878i	$0.969559\pi$
$770$	−10.3787	−	8.75602i	−0.374021	−	0.315545i
$771$	0.615644			0.0221719
$772$	3.42222	−	28.3756i	0.123168	−	1.02126i
$773$	−8.85880	−	15.3439i	−0.318629	−	0.551882i	0.661573	−	0.749881i	$-0.269889\pi$
$773$	−8.85880	−	15.3439i	−0.318629	−	0.551882i	−0.980202	+	0.197999i	$0.936556\pi$
$774$	−14.7075	−	16.5879i	−0.528650	−	0.596239i
$775$	−2.72336	+	4.71700i	−0.0978261	+	0.169440i
$776$	−12.8518	−	18.5709i	−0.461352	−	0.666658i
$777$	2.14342	−	5.38223i	0.0768947	−	0.193086i
$778$	−0.815101	−	3.98443i	−0.0292228	−	0.142849i
$779$	−10.9966	+	19.0467i	−0.393995	+	0.682420i
$780$	−1.63045	+	2.17338i	−0.0583796	+	0.0778197i
$781$	−50.0722	+	28.9092i	−1.79172	+	1.03445i
$782$	−0.616278	+	1.84846i	−0.0220381	+	0.0661007i
$783$	−4.50714			−0.161072
$784$	12.7912	−	24.9075i	0.456828	−	0.889555i
$785$	−2.15787			−0.0770179
$786$	−0.621629	+	1.86451i	−0.0221728	+	0.0665047i
$787$	−27.1625	+	15.6823i	−0.968240	+	0.559013i	−0.898699	−	0.438566i	$-0.855487\pi$
$787$	−27.1625	+	15.6823i	−0.968240	+	0.559013i	−0.0695406	+	0.997579i	$0.522153\pi$
$788$	−4.86346	+	6.48297i	−0.173254	+	0.230946i
$789$	−0.291498	+	0.504889i	−0.0103776	+	0.0179745i
$790$	3.25411	+	15.9070i	0.115776	+	0.565944i
$791$	20.3779	−	51.1699i	0.724554	−	1.81939i
$792$	−24.7797	+	17.1484i	−0.880508	+	0.609344i
$793$	−14.1030	+	24.4272i	−0.500814	+	0.867435i
$794$	2.36902	+	2.67191i	0.0840735	+	0.0948224i
$795$	−0.453107	−	0.784805i	−0.0160701	−	0.0278342i
$796$	0.656732	−	5.44535i	0.0232773	−	0.193005i
$797$	−12.8746			−0.456040			−0.228020	−	0.973656i	$-0.573225\pi$
$797$	−12.8746			−0.456040			−0.228020	+	0.973656i	$0.573225\pi$
$798$	4.59591	+	3.87737i	0.162694	+	0.137257i
$799$		−	23.3652i		−	0.826603i
$800$	2.63896	+	5.00359i	0.0933012	+	0.176904i
$801$	−14.0183	+	8.09345i	−0.495311	+	0.285968i
$802$	−36.3640	−	41.0131i	−1.28406	−	1.44822i
$803$	25.8531	+	14.9263i	0.912336	+	0.526737i
$804$	0.383587	+	0.898303i	0.0135281	+	0.0316807i
$805$	−0.101785	−	0.698941i	−0.00358745	−	0.0246344i
$806$	−40.4568	+	8.27630i	−1.42503	+	0.291520i
$807$	0.267363	+	0.154362i	0.00941162	+	0.00543380i
$808$	−24.2884	−	11.4890i	−0.854463	−	0.404183i
$809$	−3.22687	−	5.58910i	−0.113451	−	0.196502i	0.803709	−	0.595023i	$-0.202857\pi$
$809$	−3.22687	−	5.58910i	−0.113451	−	0.196502i	−0.917159	+	0.398521i	$0.869524\pi$
$810$	3.76900	−	11.3047i	0.132429	−	0.397207i
$811$			24.3882i			0.856385i	0.903688	+	0.428192i	$0.140849\pi$
$811$			24.3882i			0.856385i	−0.903688	+	0.428192i	$0.859151\pi$
$812$	−8.26309	−	13.5325i	−0.289977	−	0.474897i
$813$		−	6.13703i		−	0.215235i
$814$	−42.0718	−	14.0268i	−1.47462	−	0.491639i
$815$	−0.598474	−	1.03659i	−0.0209636	−	0.0363101i
$816$	5.08127	+	1.24374i	0.177880	+	0.0435394i
$817$	29.3261	+	16.9314i	1.02599	+	0.592356i
$818$	0.879908	+	4.30123i	0.0307653	+	0.150389i
$819$	25.7997	+	32.6850i	0.901516	+	1.14211i
$820$	−2.72379	−	6.37871i	−0.0951189	−	0.222754i
$821$	−15.5027	−	8.95047i	−0.541047	−	0.312373i	0.204456	−	0.978876i	$-0.434457\pi$
$821$	−15.5027	−	8.95047i	−0.541047	−	0.312373i	−0.745503	+	0.666502i	$0.767791\pi$
$822$	2.25929	−	2.00319i	0.0788019	−	0.0698691i
$823$	−23.0780	+	13.3241i	−0.804449	+	0.464449i	−0.845024	−	0.534728i	$-0.820414\pi$
$823$	−23.0780	+	13.3241i	−0.804449	+	0.464449i	0.0405758	+	0.999176i	$0.487081\pi$
$824$	−1.73299	−	21.1481i	−0.0603715	−	0.736730i
$825$			0.919625i			0.0320172i
$826$	−29.0677	−	5.20542i	−1.01139	−	0.181120i
$827$	−38.2259			−1.32924			−0.664622	−	0.747179i	$-0.731408\pi$
$827$	−38.2259			−1.32924			−0.664622	+	0.747179i	$0.731408\pi$
$828$	−1.55621	−	0.187685i	−0.0540819	−	0.00652251i
$829$	−3.10978	−	5.38630i	−0.108007	−	0.187074i	0.806956	−	0.590612i	$-0.201114\pi$
$829$	−3.10978	−	5.38630i	−0.108007	−	0.187074i	−0.914963	+	0.403538i	$0.867780\pi$
$830$	6.09313	−	5.40243i	0.211496	−	0.187521i
$831$	−1.05736	+	1.83140i	−0.0366794	+	0.0635305i
$832$	−15.1112	+	40.1374i	−0.523887	+	1.39151i
$833$	35.1393	+	8.39004i	1.21750	+	0.290698i
$834$	4.06680	−	0.831951i	0.140822	−	0.0288081i
$835$	6.53112	−	11.3122i	0.226019	−	0.391476i
$836$	27.6227	−	36.8209i	0.955350	−	1.27348i
$837$	−7.09508	+	4.09635i	−0.245242	+	0.141590i
$838$	14.9790	+	4.99401i	0.517440	+	0.172515i
$839$	−0.919692			−0.0317513			−0.0158757	−	0.999874i	$-0.505054\pi$
$839$	−0.919692			−0.0317513			−0.0158757	+	0.999874i	$0.505054\pi$
$840$	−1.84792	+	0.425615i	−0.0637593	+	0.0146851i
$841$	20.0212			0.690386
$842$	47.1049	+	15.7048i	1.62334	+	0.541224i
$843$	−4.35073	+	2.51189i	−0.149847	+	0.0865142i
$844$	3.85744	+	2.89382i	0.132778	+	0.0996092i
$845$	7.87001	−	13.6312i	0.270736	−	0.468929i
$846$	18.4151	−	3.76720i	0.633123	−	0.129519i
$847$	−3.55769	−	4.50715i	−0.122244	−	0.154867i
$848$	−10.3325	−	9.89256i	−0.354820	−	0.339712i
$849$	1.21973	−	2.11264i	0.0418611	−	0.0725056i
$850$	−5.46125	+	4.84217i	−0.187319	+	0.166085i
$851$	−1.15341	−	1.99777i	−0.0395384	−	0.0684826i
$852$	−0.966802	+	8.01632i	−0.0331221	+	0.274635i
$853$	32.0382			1.09697			0.548484	−	0.836161i	$-0.315205\pi$
$853$	32.0382			1.09697			0.548484	+	0.836161i	$0.315205\pi$
$854$	−18.5169	+	6.68372i	−0.633637	+	0.228712i
$855$			18.6183i			0.636733i
$856$	1.72674	+	21.0719i	0.0590187	+	0.720222i
$857$	−14.8577	+	8.57808i	−0.507529	+	0.293022i	−0.731817	−	0.681501i	$-0.761327\pi$
$857$	−14.8577	+	8.57808i	−0.507529	+	0.293022i	0.224289	+	0.974523i	$0.427994\pi$
$858$	−5.21690	+	4.62552i	−0.178102	+	0.157913i
$859$	−45.5226	−	26.2825i	−1.55321	−	0.896747i	−0.997878	−	0.0651185i	$-0.979257\pi$
$859$	−45.5226	−	26.2825i	−1.55321	−	0.896747i	−0.555333	−	0.831628i	$-0.687409\pi$
$860$	−9.82126	+	4.19380i	−0.334902	+	0.143007i
$861$	2.30080	−	0.335059i	0.0784111	−	0.0114188i
$862$	4.08042	+	19.9462i	0.138980	+	0.679370i
$863$	8.80096	+	5.08124i	0.299588	+	0.172967i	0.642258	−	0.766489i	$-0.277998\pi$
$863$	8.80096	+	5.08124i	0.299588	+	0.172967i	−0.342670	+	0.939456i	$0.611331\pi$
$864$	−0.325483	+	8.50253i	−0.0110732	+	0.289262i
$865$	12.3607	+	21.4093i	0.420275	+	0.727938i
$866$	49.4610	+	16.4904i	1.68075	+	0.560365i
$867$			2.44178i			0.0829271i
$868$	−25.3068	−	13.7927i	−0.858967	−	0.468155i
$869$			41.6651i			1.41339i
$870$	−0.339639	+	1.01871i	−0.0115148	+	0.0345375i
$871$	−5.16612	−	8.94798i	−0.175047	−	0.303191i
$872$	23.5837	−	49.8572i	0.798646	−	1.68838i
$873$	20.3009	+	11.7207i	0.687082	+	0.396687i
$874$	2.34572	−	0.479867i	0.0793453	−	0.0162318i
$875$	0.978876	−	2.45801i	0.0330921	−	0.0830958i
$876$	3.83403	−	1.63718i	0.129540	−	0.0553152i
$877$	32.0621	+	18.5111i	1.08266	+	0.625074i	0.931613	−	0.363453i	$-0.118402\pi$
$877$	32.0621	+	18.5111i	1.08266	+	0.625074i	0.151047	+	0.988527i	$0.451736\pi$
$878$	−34.6739	−	39.1070i	−1.17019	−	1.31980i
$879$	0.107084	−	0.0618250i	0.00361185	−	0.00208531i
$880$	4.06118	+	13.9367i	0.136902	+	0.469806i
$881$			46.4428i			1.56470i	0.622841	+	0.782348i	$0.285978\pi$
$881$			46.4428i			1.56470i	−0.622841	+	0.782348i	$0.714022\pi$
$882$	−0.946993	+	29.0474i	−0.0318869	+	0.978076i
$883$	−26.4744			−0.890935			−0.445468	−	0.895298i	$-0.646963\pi$
$883$	−26.4744			−0.890935			−0.445468	+	0.895298i	$0.646963\pi$
$884$	−54.9378	−	6.62574i	−1.84776	−	0.222848i
$885$	0.999963	+	1.73199i	0.0336134	+	0.0582201i
$886$	20.2460	+	22.8345i	0.680177	+	0.767138i
$887$	−5.77822	+	10.0082i	−0.194014	+	0.336041i	−0.946577	−	0.322479i	$-0.895484\pi$
$887$	−5.77822	+	10.0082i	−0.194014	+	0.336041i	0.752563	+	0.658520i	$0.228817\pi$
$888$	−5.09275	+	3.52437i	−0.170901	+	0.118270i
$889$	−20.7486	−	8.26293i	−0.695886	−	0.277130i
$890$	1.56278	+	7.63927i	0.0523843	+	0.256069i
$891$	15.2897	−	26.4826i	0.512225	−	0.887200i
$892$	−31.8119	−	23.8650i	−1.06514	−	0.799059i
$893$	−24.8647	+	14.3556i	−0.832065	+	0.480393i
$894$	1.31014	−	3.92962i	0.0438177	−	0.131426i
$895$	−12.9601			−0.433209
$896$	−26.1252	+	14.6107i	−0.872782	+	0.488110i
$897$	−0.362664			−0.0121090
$898$	14.2185	−	42.6467i	0.474476	−	1.42314i
$899$	−14.1343	+	8.16047i	−0.471407	+	0.272167i
$900$	−4.69683	−	3.52352i	−0.156561	−	0.117451i
$901$	9.22831	−	15.9839i	0.307439	−	0.532501i
$902$	−3.56721	−	17.4375i	−0.118775	−	0.580605i
$903$	−0.515889	−	3.54253i	−0.0171677	−	0.117888i
$904$	−48.4178	+	33.5069i	−1.61035	+	1.11442i
$905$	−5.28326	+	9.15087i	−0.175621	+	0.304185i
$906$	3.82539	+	4.31447i	0.127090	+	0.143339i
$907$	19.9712	+	34.5911i	0.663131	+	1.14858i	0.979788	+	0.200037i	$0.0641062\pi$
$907$	19.9712	+	34.5911i	0.663131	+	1.14858i	−0.316657	+	0.948540i	$0.602560\pi$
$908$	−49.1720	−	5.93035i	−1.63183	−	0.196806i
$909$	27.8885			0.925003
$910$	18.8675	−	6.81024i	0.625450	−	0.225757i
$911$		−	46.6862i		−	1.54678i	−0.633929	−	0.773391i	$-0.718559\pi$
$911$		−	46.6862i		−	1.54678i	0.633929	−	0.773391i	$-0.281441\pi$
$912$	−1.79838	−	6.17150i	−0.0595505	−	0.204359i
$913$	18.0972	−	10.4484i	0.598930	−	0.345792i
$914$	21.6996	+	24.4739i	0.717759	+	0.809525i
$915$	1.15463	+	0.666626i	0.0381709	+	0.0220380i
$916$	22.0052	−	9.39652i	0.727074	−	0.310470i
$917$	11.3895	−	8.99023i	0.376114	−	0.296884i
$918$	−10.7557	+	2.20030i	−0.354990	+	0.0726208i
$919$	−7.20385	−	4.15914i	−0.237633	−	0.137198i	0.376455	−	0.926435i	$-0.377143\pi$
$919$	−7.20385	−	4.15914i	−0.237633	−	0.137198i	−0.614088	+	0.789237i	$0.710476\pi$
$920$	−0.322873	+	0.682569i	−0.0106448	+	0.0225036i
$921$	−1.49933	−	2.59692i	−0.0494046	−	0.0855714i
$922$	−4.46457	+	13.3910i	−0.147033	+	0.441009i
$923$		−	85.4105i		−	2.81132i
$924$	−4.86473	+	0.119629i	−0.160038	+	0.00393551i
$925$		−	8.64104i		−	0.284116i
$926$	32.6685	+	10.8917i	1.07355	+	0.357924i
$927$	11.0122	+	19.0737i	0.361689	+	0.626463i
$928$	−0.648406	+	16.9382i	−0.0212850	+	0.556023i
$929$	23.5169	+	13.5775i	0.771565	+	0.445463i	0.833433	−	0.552621i	$-0.186372\pi$
$929$	23.5169	+	13.5775i	0.771565	+	0.445463i	−0.0618674	+	0.998084i	$0.519706\pi$
$930$	0.391206	+	1.91232i	0.0128282	+	0.0627075i
$931$	−12.6611	−	42.5491i	−0.414952	−	1.39449i
$932$	−20.4149	+	8.71743i	−0.668713	+	0.285549i
$933$	1.00723	+	0.581525i	0.0329753	+	0.0190383i
$934$	27.6238	−	24.4924i	0.903878	−	0.801416i
$935$	−16.2204	+	9.36487i	−0.530465	+	0.306264i
$936$	−3.63566	−	44.3670i	−0.118835	−	1.45018i
$937$			36.9312i			1.20649i	0.797556	+	0.603245i	$0.206126\pi$
$937$			36.9312i			1.20649i	−0.797556	+	0.603245i	$0.793874\pi$
$938$	1.27118	−	7.09840i	0.0415054	−	0.231771i
$939$	−5.20565			−0.169880
$940$	1.08416	−	8.98940i	0.0353614	−	0.293202i
$941$	−7.58723	−	13.1415i	−0.247336	−	0.428399i	0.715449	−	0.698664i	$-0.246222\pi$
$941$	−7.58723	−	13.1415i	−0.247336	−	0.428399i	−0.962786	+	0.270265i	$0.912889\pi$
$942$	−0.578625	+	0.513033i	−0.0188526	+	0.0167155i
$943$	0.462905	−	0.801776i	0.0150743	−	0.0261094i
$944$	22.8029	+	21.8319i	0.742170	+	0.710568i
$945$	3.12372	−	2.46569i	0.101615	−	0.0802090i
$946$	−26.8484	+	5.49241i	−0.872917	+	0.178574i
$947$	−16.7591	+	29.0275i	−0.544596	+	0.943268i	0.454036	+	0.890983i	$0.349984\pi$
$947$	−16.7591	+	29.0275i	−0.544596	+	0.943268i	−0.998632	+	0.0522848i	$0.983350\pi$
$948$	4.65445	+	3.49172i	0.151169	+	0.113406i
$949$	−38.1907	+	22.0494i	−1.23972	+	0.715755i
$950$	8.50831	+	2.83668i	0.276046	+	0.0920341i
$951$	1.97899			0.0641730
$952$	−26.3250	−	28.2596i	−0.853200	−	0.915898i
$953$	−2.60332			−0.0843298			−0.0421649	−	0.999111i	$-0.513425\pi$
$953$	−2.60332			−0.0843298			−0.0421649	+	0.999111i	$0.513425\pi$
$954$	14.0854	+	4.69610i	0.456033	+	0.152042i
$955$	−3.42981	+	1.98020i	−0.110986	+	0.0640779i
$956$	29.7855	−	39.7039i	0.963333	−	1.28412i
$957$	−1.37781	+	2.38644i	−0.0445384	+	0.0771428i
$958$	8.99766	−	1.84066i	0.290701	−	0.0594691i
$959$	−22.0594	+	3.21245i	−0.712335	+	0.103736i
$960$	1.89723	+	0.714281i	0.0612327	+	0.0230533i
$961$	0.666587	−	1.15456i	0.0215028	−	0.0372439i
$962$	49.0193	−	43.4626i	1.58045	−	1.40129i
$963$	−10.9725	−	19.0049i	−0.353584	−	0.612426i
$964$	−22.5833	−	2.72364i	−0.727358	−	0.0877225i
$965$	14.2906			0.460031
$966$	−0.193466	−	0.163219i	−0.00622466	−	0.00525148i
$967$		−	43.0328i		−	1.38384i	−0.721973	−	0.691921i	$-0.756764\pi$
$967$		−	43.0328i		−	1.38384i	0.721973	−	0.691921i	$-0.243236\pi$
$968$	0.501344	+	6.11804i	0.0161138	+	0.196641i
$969$	7.18279	−	4.14699i	0.230744	−	0.133220i
$970$	8.44926	−	7.49147i	0.271289	−	0.240537i
$971$	50.5453	+	29.1823i	1.62208	+	0.936506i	0.986364	+	0.164579i	$0.0526266\pi$
$971$	50.5453	+	29.1823i	1.62208	+	0.936506i	0.635712	+	0.771927i	$0.280707\pi$
$972$	−5.22119	−	12.2273i	−0.167470	−	0.392189i
$973$	−28.4715	−	11.3385i	−0.912755	−	0.363495i
$974$	0.0801130	+	0.391614i	0.00256699	+	0.0125481i
$975$	−1.17649	−	0.679245i	−0.0376777	−	0.0217532i
$976$	20.4421	+	5.00358i	0.654334	+	0.160161i
$977$	0.680919	+	1.17939i	0.0217845	+	0.0377319i	0.876712	−	0.481015i	$-0.159732\pi$
$977$	0.680919	+	1.17939i	0.0217845	+	0.0377319i	−0.854928	+	0.518747i	$0.826399\pi$
$978$	−0.406926	−	0.135670i	−0.0130121	−	0.00433824i
$979$			20.0095i			0.639508i
$980$	13.1300	+	4.85841i	0.419421	+	0.155196i
$981$			57.2472i			1.82776i
$982$	−8.13639	+	24.4042i	−0.259643	+	0.778769i
$983$	−5.32160	−	9.21728i	−0.169733	−	0.293986i	0.768593	−	0.639738i	$-0.220957\pi$
$983$	−5.32160	−	9.21728i	−0.169733	−	0.293986i	−0.938326	+	0.345752i	$0.887624\pi$
$984$	−2.24691	−	1.06284i	−0.0716288	−	0.0338822i
$985$	−3.50933	−	2.02611i	−0.111817	−	0.0645573i
$986$	−21.4267	+	4.38329i	−0.682366	+	0.139593i
$987$	2.81989	+	1.12299i	0.0897582	+	0.0357453i
$988$	26.7029	+	62.5343i	0.849533	+	1.98948i
$989$	−1.23449	−	0.712733i	−0.0392545	−	0.0226636i
$990$	−9.99606	−	11.2741i	−0.317696	−	0.358313i
$991$	34.2678	−	19.7845i	1.08855	−	0.628476i	0.155361	−	0.987858i	$-0.450346\pi$
$991$	34.2678	−	19.7845i	1.08855	−	0.628476i	0.933191	+	0.359382i	$0.117013\pi$
$992$	14.3737	+	27.2532i	0.456365	+	0.865289i
$993$			3.21887i			0.102148i
$994$	38.4394	−	45.5628i	1.21922	−	1.44517i
$995$	2.74240			0.0869401
$996$	0.349424	−	2.89728i	0.0110719	−	0.0918037i
$997$	10.3520	+	17.9301i	0.327850	+	0.567852i	0.982085	−	0.188439i	$-0.0603427\pi$
$997$	10.3520	+	17.9301i	0.327850	+	0.567852i	−0.654235	+	0.756291i	$0.727009\pi$
$998$	−1.14091	−	1.28678i	−0.0361149	−	0.0407322i
$999$	6.49871	−	11.2561i	0.205610	−	0.356127i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.e.131.6	✓	24
4.3	odd	2		1120.2.bz.f.271.8		24
7.3	odd	6		280.2.bj.f.171.3	yes	24
8.3	odd	2		280.2.bj.f.131.3	yes	24
8.5	even	2		1120.2.bz.e.271.8		24
28.3	even	6		1120.2.bz.e.591.8		24
56.3	even	6	inner	280.2.bj.e.171.6	yes	24
56.45	odd	6		1120.2.bz.f.591.8		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.6	✓	24	1.1	even	1	trivial
280.2.bj.e.171.6	yes	24	56.3	even	6	inner
280.2.bj.f.131.3	yes	24	8.3	odd	2
280.2.bj.f.171.3	yes	24	7.3	odd	6
1120.2.bz.e.271.8		24	8.5	even	2
1120.2.bz.e.591.8		24	28.3	even	6
1120.2.bz.f.271.8		24	4.3	odd	2
1120.2.bz.f.591.8		24	56.45	odd	6

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.447296 + 1.34161i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-1.59985 - 1.20020i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-0.0718241 - 0.351096i) q^{6} +(-0.978876 + 2.45801i) q^{7} +(2.32581 - 1.60954i) q^{8} +(-1.46789 + 2.54247i) q^{9} +O(q^{10})\)	\(q+(-0.447296 + 1.34161i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-1.59985 - 1.20020i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-0.0718241 - 0.351096i) q^{6} +(-0.978876 + 2.45801i) q^{7} +(2.32581 - 1.60954i) q^{8} +(-1.46789 + 2.54247i) q^{9} +(0.938224 + 1.05818i) q^{10} +(1.81455 + 3.14289i) q^{11} +(0.503161 + 0.0606834i) q^{12} -5.36097 q^{13} +(-2.85985 - 2.41273i) q^{14} +0.253404i q^{15} +(1.11906 + 3.84027i) q^{16} +(-4.46956 + 2.58050i) q^{17} +(-2.75442 - 3.10658i) q^{18} +(5.49220 + 3.17092i) q^{19} +(-1.83933 + 0.785416i) q^{20} +(-0.0966157 - 0.663445i) q^{21} +(-5.02818 + 1.02862i) q^{22} +(-0.231195 - 0.133481i) q^{23} +(-0.306475 + 0.647905i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.39794 - 7.19235i) q^{26} -1.50415i q^{27} +(4.51615 - 2.75761i) q^{28} -2.99647i q^{29} +(-0.339970 - 0.113346i) q^{30} +(-2.72336 - 4.71700i) q^{31} +(-5.65271 - 0.216390i) q^{32} +(-0.796419 - 0.459813i) q^{33} +(-1.46282 - 7.15066i) q^{34} +(1.63926 + 2.07674i) q^{35} +(5.39987 - 2.30581i) q^{36} +(7.48336 + 4.32052i) q^{37} +(-6.71079 + 5.95007i) q^{38} +(1.17649 - 0.679245i) q^{39} +(-0.231002 - 2.81898i) q^{40} +3.46796i q^{41} +(0.933303 + 0.167135i) q^{42} +5.33960 q^{43} +(0.869070 - 7.20596i) q^{44} +(1.46789 + 2.54247i) q^{45} +(0.282492 - 0.250469i) q^{46} +(-2.26364 + 3.92073i) q^{47} +(-0.732152 - 0.700977i) q^{48} +(-5.08360 - 4.81217i) q^{49} +(1.38552 - 0.283437i) q^{50} +(0.653908 - 1.13260i) q^{51} +(8.57677 + 6.43421i) q^{52} +(-3.09705 + 1.78808i) q^{53} +(2.01799 + 0.672800i) q^{54} +3.62909 q^{55} +(1.67959 + 7.29239i) q^{56} -1.60705 q^{57} +(4.02010 + 1.34031i) q^{58} +(6.83489 - 3.94613i) q^{59} +(0.304134 - 0.405409i) q^{60} +(2.63069 - 4.55649i) q^{61} +(7.54654 - 1.54381i) q^{62} +(-4.81251 - 6.09685i) q^{63} +(2.81875 - 7.48697i) q^{64} +(-2.68049 + 4.64274i) q^{65} +(0.973125 - 0.862814i) q^{66} +(0.963653 + 1.66910i) q^{67} +(10.2477 + 1.23592i) q^{68} +0.0676490 q^{69} +(-3.51941 + 1.27034i) q^{70} +15.9319i q^{71} +(0.678172 + 8.27592i) q^{72} +(7.12385 - 4.11296i) q^{73} +(-9.14374 + 8.10722i) q^{74} +(0.219454 + 0.126702i) q^{75} +(-4.98099 - 11.6647i) q^{76} +(-9.50145 + 1.38367i) q^{77} +(0.385047 + 1.88221i) q^{78} +(9.94273 + 5.74044i) q^{79} +(3.88531 + 0.951001i) q^{80} +(-4.21310 - 7.29731i) q^{81} +(-4.65266 - 1.55120i) q^{82} -5.75814i q^{83} +(-0.641693 + 1.17737i) q^{84} +5.16100i q^{85} +(-2.38838 + 7.16367i) q^{86} +(0.379658 + 0.657587i) q^{87} +(9.27889 + 4.38915i) q^{88} +(4.77496 + 2.75683i) q^{89} +(-4.06759 + 0.832112i) q^{90} +(5.24773 - 13.1773i) q^{91} +(0.209676 + 0.491029i) q^{92} +(1.19531 + 0.690110i) q^{93} +(-4.24759 - 4.79065i) q^{94} +(5.49220 - 3.17092i) q^{95} +(1.26793 - 0.668722i) q^{96} -7.98474i q^{97} +(8.72995 - 4.66777i) q^{98} -10.6542 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more