LMFDB - Embedded newform 280.2.bj.f.131.3

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			131.3
Character	$\chi$	$=$	280.131
Dual form			280.2.bj.f.171.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.938224 + 1.05818i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-0.239473 - 1.98561i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(0.0718241 - 0.351096i) q^{6} +(0.978876 - 2.45801i) q^{7} +(2.32581 + 1.60954i) q^{8} +(-1.46789 + 2.54247i) q^{9} +O(q^{10})$	\(q+(-0.938224 + 1.05818i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-0.239473 - 1.98561i) 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} +(-0.447296 - 1.34161i) q^{10} +(1.81455 + 3.14289i) q^{11} +(0.304134 + 0.405409i) q^{12} +5.36097 q^{13} +(1.68260 + 3.34198i) q^{14} -0.253404i q^{15} +(-3.88531 + 0.951001i) q^{16} +(-4.46956 + 2.58050i) q^{17} +(-1.31316 - 3.93869i) 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} +(-0.714340 - 0.0585367i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-5.02979 + 5.67285i) q^{26} -1.50415i q^{27} +(-5.11506 - 1.35504i) q^{28} +2.99647i q^{29} +(0.268146 + 0.237749i) q^{30} +(2.72336 + 4.71700i) q^{31} +(2.63896 - 5.00359i) 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} +(-8.50831 + 2.83668i) q^{38} +(-1.17649 + 0.679245i) q^{39} +(-2.55681 + 1.20944i) q^{40} +3.46796i q^{41} +(-0.792689 - 0.520223i) q^{42} +5.33960 q^{43} +(5.80601 - 4.35562i) q^{44} +(-1.46789 - 2.54247i) q^{45} +(-0.358159 + 0.119411i) 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} +(-1.28381 - 10.6448i) q^{52} +(3.09705 - 1.78808i) q^{53} +(1.59166 + 1.41123i) q^{54} -3.62909 q^{55} +(6.23294 - 4.14131i) q^{56} -1.60705 q^{57} +(-3.17079 - 2.81136i) q^{58} +(6.83489 - 3.94613i) q^{59} +(-0.503161 + 0.0606834i) 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} +(1.23378 - 0.411344i) q^{66} +(0.963653 + 1.66910i) q^{67} +(6.19421 + 8.25684i) q^{68} -0.0676490 q^{69} +(-3.73554 - 0.213818i) q^{70} -15.9319i q^{71} +(-7.50624 + 3.55065i) q^{72} +(7.12385 - 4.11296i) q^{73} +(11.5929 - 3.86510i) 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} +(1.11906 - 3.84027i) q^{80} +(-4.21310 - 7.29731i) q^{81} +(-3.66971 - 3.25372i) q^{82} -5.75814i q^{83} +(1.29421 - 0.350719i) q^{84} -5.16100i q^{85} +(-5.00973 + 5.65023i) q^{86} +(-0.379658 - 0.657587i) q^{87} +(-0.838327 + 10.2303i) 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} +(2.02503 + 6.07385i) q^{94} +(-5.49220 + 3.17092i) q^{95} +(0.0548340 + 1.43242i) q^{96} -7.98474i q^{97} +(9.86168 - 0.864454i) 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} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 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 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * 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 $

$2$	−0.938224	+	1.05818i	−0.663424	+	0.748243i
$2$	−0.938224	+	1.05818i	−0.663424	+	0.748243i
$3$	−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	$0.356639\pi$
$4$	−0.239473	−	1.98561i	−0.119737	−	0.992806i
$5$	−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
$10$	−0.447296	−	1.34161i	−0.141447	−	0.424255i
$11$	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	$0.649063\pi$
$12$	0.304134	+	0.405409i	0.0877959	+	0.117031i
$13$	5.36097			1.48687			0.743433	−	0.668810i	$-0.233196\pi$
$13$	5.36097			1.48687			0.743433	+	0.668810i	$0.233196\pi$
$14$	1.68260	+	3.34198i	0.449694	+	0.893183i
$15$		−	0.253404i		−	0.0654286i
$16$	−3.88531	+	0.951001i	−0.971326	+	0.237750i
$17$	−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	$0.548586\pi$
$18$	−1.31316	−	3.93869i	−0.309516	−	0.928358i
$19$	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	0.523910	−	0.851774i	$-0.324473\pi$
$23$	0.231195	+	0.133481i	0.0482076	+	0.0278326i	−0.475703	+	0.879606i	$0.657806\pi$
$24$	−0.714340	−	0.0585367i	−0.145814	−	0.0119488i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	−5.02979	+	5.67285i	−0.986423	+	1.11254i
$27$		−	1.50415i		−	0.289474i
$28$	−5.11506	−	1.35504i	−0.966656	−	0.256079i
$29$			2.99647i			0.556430i	0.960519	+	0.278215i	$0.0897428\pi$
$29$			2.99647i			0.556430i	−0.960519	+	0.278215i	$0.910257\pi$
$30$	0.268146	+	0.237749i	0.0489565	+	0.0434069i
$31$	2.72336	+	4.71700i	0.489130	+	0.847199i	0.999922	−	0.0125059i	$-0.00398086\pi$
$31$	2.72336	+	4.71700i	0.489130	+	0.847199i	−0.510791	+	0.859705i	$0.670648\pi$
$32$	2.63896	−	5.00359i	0.466506	−	0.884518i
$33$	−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	−0.263173	−	0.964749i	$-0.584769\pi$
$37$	−7.48336	−	4.32052i	−1.23026	−	0.710289i	−0.967083	+	0.254460i	$0.918102\pi$
$38$	−8.50831	+	2.83668i	−1.38023	+	0.460170i
$39$	−1.17649	+	0.679245i	−0.188389	+	0.108766i
$40$	−2.55681	+	1.20944i	−0.404267	+	0.191229i
$41$			3.46796i			0.541604i	0.962635	+	0.270802i	$0.0872889\pi$
$41$			3.46796i			0.541604i	−0.962635	+	0.270802i	$0.912711\pi$
$42$	−0.792689	−	0.520223i	−0.122315	−	0.0802722i
$43$	5.33960			0.814281			0.407140	−	0.913366i	$-0.366526\pi$
$43$	5.33960			0.814281			0.407140	+	0.913366i	$0.366526\pi$
$44$	5.80601	−	4.35562i	0.875289	−	0.656634i
$45$	−1.46789	−	2.54247i	−0.218821	−	0.379008i
$46$	−0.358159	+	0.119411i	−0.0528076	+	0.0176061i
$47$	2.26364	−	3.92073i	0.330185	−	0.571898i	−0.652363	−	0.757907i	$-0.726222\pi$
$47$	2.26364	−	3.92073i	0.330185	−	0.571898i	0.982548	+	0.186009i	$0.0595554\pi$
$48$	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
$52$	−1.28381	−	10.6448i	−0.178032	−	1.47617i
$53$	3.09705	−	1.78808i	0.425413	−	0.245612i	−0.271978	−	0.962304i	$-0.587678\pi$
$53$	3.09705	−	1.78808i	0.425413	−	0.245612i	0.697391	+	0.716691i	$0.254344\pi$
$54$	1.59166	+	1.41123i	0.216597	+	0.192044i
$55$	−3.62909			−0.489347
$56$	6.23294	−	4.14131i	0.832912	−	0.553405i
$57$	−1.60705			−0.212859
$58$	−3.17079	−	2.81136i	−0.416345	−	0.369149i
$59$	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	$0.161592\pi$
$60$	−0.503161	+	0.0606834i	−0.0649578	+	0.00783419i
$61$	−2.63069	+	4.55649i	−0.336825	+	0.583398i	−0.983834	−	0.179084i	$-0.942686\pi$
$61$	−2.63069	+	4.55649i	−0.336825	+	0.583398i	0.647009	+	0.762483i	$0.276020\pi$
$62$	−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
$66$	1.23378	−	0.411344i	0.151868	−	0.0506330i
$67$	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	$0.795772\pi$
$68$	6.19421	+	8.25684i	0.751158	+	1.00129i
$69$	−0.0676490			−0.00814398
$70$	−3.73554	−	0.213818i	−0.446483	−	0.0255561i
$71$		−	15.9319i		−	1.89077i	−0.325956	−	0.945385i	$-0.605686\pi$
$71$		−	15.9319i		−	1.89077i	0.325956	−	0.945385i	$-0.394314\pi$
$72$	−7.50624	+	3.55065i	−0.884619	+	0.418448i
$73$	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	$0.173467\pi$
$74$	11.5929	−	3.86510i	1.34765	−	0.449308i
$75$	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	−0.177590	−	0.984105i	$-0.556830\pi$
$79$	−9.94273	−	5.74044i	−1.11864	−	0.645849i	−0.941054	+	0.338255i	$0.890163\pi$
$80$	1.11906	−	3.84027i	0.125115	−	0.429356i
$81$	−4.21310	−	7.29731i	−0.468122	−	0.810812i
$82$	−3.66971	−	3.25372i	−0.405252	−	0.359313i
$83$		−	5.75814i		−	0.632039i	−0.948753	−	0.316019i	$-0.897654\pi$
$83$		−	5.75814i		−	0.632039i	0.948753	−	0.316019i	$-0.102346\pi$
$84$	1.29421	−	0.350719i	0.141210	−	0.0382665i
$85$		−	5.16100i		−	0.559789i
$86$	−5.00973	+	5.65023i	−0.540213	+	0.609280i
$87$	−0.379658	−	0.657587i	−0.0407036	−	0.0705007i
$88$	−0.838327	+	10.2303i	−0.0893659	+	1.09056i
$89$	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
$94$	2.02503	+	6.07385i	0.208866	+	0.626470i
$95$	−5.49220	+	3.17092i	−0.563488	+	0.325330i
$96$	0.0548340	+	1.43242i	0.00559647	+	0.146196i
$97$		−	7.98474i		−	0.810727i	−0.914156	−	0.405364i	$-0.867145\pi$
$97$		−	7.98474i		−	0.810727i	0.914156	−	0.405364i	$-0.132855\pi$
$98$	9.86168	−	0.864454i	0.996180	−	0.0873231i
$99$	−10.6542			−1.07079
$100$	−1.59985	+	1.20020i	−0.159985	+	0.120020i
$101$	4.74975	+	8.22681i	0.472618	+	0.818598i	0.999509	−	0.0313347i	$-0.00997577\pi$
$101$	4.74975	+	8.22681i	0.472618	+	0.818598i	−0.526891	+	0.849933i	$0.676642\pi$
$102$	0.584981	+	1.75458i	0.0579217	+	0.173730i
$103$	−3.75103	+	6.49697i	−0.369600	+	0.640166i	−0.989503	−	0.144513i	$-0.953839\pi$
$103$	−3.75103	+	6.49697i	−0.369600	+	0.640166i	0.619903	+	0.784678i	$0.287172\pi$
$104$	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	$0.284340\pi$
$108$	−2.98666	+	0.360204i	−0.287391	+	0.0346606i
$109$	−16.8873	+	9.74989i	−1.61751	+	0.933870i	−0.629949	+	0.776636i	$0.716924\pi$
$109$	−16.8873	+	9.74989i	−1.61751	+	0.933870i	−0.987561	+	0.157234i	$0.949742\pi$
$110$	3.40490	−	3.84022i	0.324644	−	0.366150i
$111$	2.18967			0.207834
$112$	−1.46566	+	10.4810i	−0.138492	+	0.990364i
$113$	−20.8176			−1.95836			−0.979179	−	0.202997i	$-0.934932\pi$
$113$	−20.8176			−1.95836			−0.979179	+	0.202997i	$0.934932\pi$
$114$	1.50777	−	1.70054i	0.141216	−	0.159270i
$115$	−0.231195	+	0.133481i	−0.0215591	+	0.0124471i
$116$	5.94982	−	0.717574i	0.552427	−	0.0666251i
$117$	−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
$122$	−2.35339	−	7.05874i	−0.213066	−	0.639068i
$123$	−0.439397	−	0.761058i	−0.0396191	−	0.0686223i
$124$	8.71396	−	6.53714i	0.782537	−	0.587052i
$125$	1.00000			0.0894427
$126$	−10.9668	−	0.627723i	−0.976996	−	0.0559220i
$127$		−	8.44123i		−	0.749038i	−0.927219	−	0.374519i	$-0.877808\pi$
$127$		−	8.44123i		−	0.749038i	0.927219	−	0.374519i	$-0.122192\pi$
$128$	−10.5671	−	4.04172i	−0.934012	−	0.357241i
$129$	−1.17180	+	0.676537i	−0.103171	+	0.0595657i
$130$	−2.39794	−	7.19235i	−0.210313	−	0.630811i
$131$	−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
$136$	−14.5487	−	1.19220i	−1.24754	−	0.102230i
$137$	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	$0.716136\pi$
$138$	0.0634699	−	0.0715845i	0.00540291	−	0.00609368i
$139$			11.5832i			0.982472i	0.871027	+	0.491236i	$0.163455\pi$
$139$			11.5832i			0.982472i	−0.871027	+	0.491236i	$0.836545\pi$
$140$	3.73103	−	3.75225i	0.315330	−	0.317123i
$141$			1.14723i			0.0966140i
$142$	16.8588	+	14.9477i	1.41476	+	1.25438i
$143$	9.72773	+	16.8489i	0.813473	+	1.40898i
$144$	3.28532	−	11.2742i	0.273777	−	0.939519i
$145$	−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	0.0303740	−	0.999539i	$-0.490330\pi$
$149$	−10.0102	−	5.77937i	−0.820065	−	0.473465i	−0.850439	+	0.526074i	$0.823664\pi$
$150$	−0.339970	+	0.113346i	−0.0277584	+	0.00925469i
$151$	13.9344	−	8.04501i	1.13396	−	0.654694i	0.189035	−	0.981970i	$-0.439464\pi$
$151$	13.9344	−	8.04501i	1.13396	−	0.654694i	0.944929	+	0.327276i	$0.106131\pi$
$152$	7.67006	+	16.2149i	0.622124	+	1.31520i
$153$		−	15.1516i		−	1.22493i
$154$	−7.45032	+	11.3524i	−0.600364	+	0.914803i
$155$	−5.44673			−0.437492
$156$	1.63045	+	2.17338i	0.130541	+	0.174010i
$157$	1.07894	+	1.86877i	0.0861086	+	0.149144i	0.905863	−	0.423571i	$-0.139223\pi$
$157$	1.07894	+	1.86877i	0.0861086	+	0.149144i	−0.819754	+	0.572715i	$0.805890\pi$
$158$	15.4029	−	5.13534i	1.22539	−	0.408546i
$159$	−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	$0.151740\pi$
$164$	6.88602	−	0.830483i	0.537708	−	0.0648498i
$165$	0.796419	−	0.459813i	0.0620011	−	0.0357964i
$166$	6.09313	+	5.40243i	0.472919	+	0.419310i
$167$	−13.0622			−1.01079			−0.505393	−	0.862889i	$-0.668653\pi$
$167$	−13.0622			−1.01079			−0.505393	+	0.862889i	$0.668653\pi$
$168$	−0.843134	+	1.69855i	−0.0650492	+	0.131046i
$169$	15.7400			1.21077
$170$	5.46125	+	4.84217i	0.418858	+	0.371378i
$171$	−16.1239	+	9.30916i	−1.23303	+	0.711889i
$172$	−1.27869	−	10.6024i	−0.0974992	−	0.808422i
$173$	12.3607	−	21.4093i	0.939764	−	1.62772i	0.173854	−	0.984771i	$-0.444378\pi$
$173$	12.3607	−	21.4093i	0.939764	−	1.62772i	0.765910	−	0.642948i	$-0.222289\pi$
$174$	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
$178$	−7.39719	+	2.46623i	−0.554443	+	0.184852i
$179$	−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	$0.994274\pi$
$180$	−4.69683	+	3.52352i	−0.350081	+	0.262628i
$181$	10.5665			0.785403			0.392702	−	0.919666i	$-0.371541\pi$
$181$	10.5665			0.785403			0.392702	+	0.919666i	$0.371541\pi$
$182$	9.02037	+	17.9163i	0.668634	+	1.32804i
$183$		−	1.33325i		−	0.0985569i
$184$	0.322873	+	0.682569i	0.0238025	+	0.0503196i
$185$	7.48336	−	4.32052i	0.550187	−	0.317651i
$186$	1.85172	−	0.617367i	0.135775	−	0.0452675i
$187$	−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	0.618927	−	0.785448i	$-0.287568\pi$
$191$	3.42981	+	1.98020i	0.248173	+	0.143282i	−0.370755	+	0.928731i	$0.620901\pi$
$192$	−1.56720	−	1.28590i	−0.113103	−	0.0928022i
$193$	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	$0.661374\pi$
$194$	8.44926	+	7.49147i	0.606621	+	0.537856i
$195$		−	1.35849i		−	0.0972835i
$196$	−8.33771	+	11.2464i	−0.595551	+	0.803317i
$197$			4.05223i			0.288709i	0.989526	+	0.144355i	$0.0461106\pi$
$197$			4.05223i			0.288709i	−0.989526	+	0.144355i	$0.953889\pi$
$198$	9.99606	−	11.2741i	0.710389	−	0.801212i
$199$	−1.37120	−	2.37499i	−0.0972020	−	0.168359i	0.813324	−	0.581812i	$-0.197656\pi$
$199$	−1.37120	−	2.37499i	−0.0972020	−	0.168359i	−0.910525	+	0.413453i	$0.864323\pi$
$200$	0.231002	−	2.81898i	0.0163343	−	0.199332i
$201$	−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
$206$	−3.35564	−	10.0649i	−0.233798	−	0.701252i
$207$	−0.678740	+	0.391871i	−0.0471757	+	0.0272369i
$208$	−20.8290	+	5.09829i	−1.44423	+	0.353503i
$209$			23.0151i			1.59199i
$210$	0.846871	−	0.426377i	0.0584397	−	0.0294228i
$211$	−2.41112			−0.165988			−0.0829942	−	0.996550i	$-0.526448\pi$
$211$	−2.41112			−0.165988			−0.0829942	+	0.996550i	$0.526448\pi$
$212$	−4.29210	−	5.72135i	−0.294783	−	0.392944i
$213$	2.01860	+	3.49632i	0.138312	+	0.239564i
$214$	−3.34354	−	10.0286i	−0.228559	−	0.685539i
$215$	−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
$220$	0.869070	+	7.20596i	0.0585927	+	0.485826i
$221$	−23.9612	+	13.8340i	−1.61180	+	0.930575i
$222$	−2.05440	+	2.31706i	−0.137882	+	0.155511i
$223$	−19.8843			−1.33155			−0.665774	−	0.746153i	$-0.731899\pi$
$223$	−19.8843			−1.33155			−0.665774	+	0.746153i	$0.731899\pi$
$224$	−9.71565	−	11.3845i	−0.649154	−	0.760657i
$225$	2.93579			0.195719
$226$	19.5316	−	22.0287i	1.29922	−	1.46533i
$227$	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	$0.0262881\pi$
$228$	0.384845	+	3.19097i	0.0254870	+	0.211327i
$229$	5.98187	−	10.3609i	0.395293	−	0.684668i	−0.597845	−	0.801612i	$-0.703976\pi$
$229$	5.98187	−	10.3609i	0.395293	−	0.684668i	0.993139	+	0.116943i	$0.0373096\pi$
$230$	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	$0.0482265\pi$
$234$	−7.03984	−	21.1152i	−0.460208	−	1.38034i
$235$	2.26364	+	3.92073i	0.147663	+	0.255760i
$236$	−9.47224	−	12.6264i	−0.616591	−	0.821912i
$237$	2.90930			0.188979
$238$	−16.1445	−	10.5952i	−1.04649	−	0.686787i
$239$		−	24.8172i		−	1.60529i	−0.596455	−	0.802646i	$-0.703425\pi$
$239$		−	24.8172i		−	1.60529i	0.596455	−	0.802646i	$-0.296575\pi$
$240$	0.240987	+	0.984551i	0.0155557	+	0.0635525i
$241$	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	$0.213953\pi$
$242$	−0.970767	−	2.91171i	−0.0624033	−	0.187172i
$243$	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
$248$	−1.25820	+	15.3542i	−0.0798960	+	0.974993i
$249$	0.729568	+	1.26365i	0.0462345	+	0.0800805i
$250$	−0.938224	+	1.05818i	−0.0593385	+	0.0669249i
$251$			8.98434i			0.567087i	0.958959	+	0.283543i	$0.0915100\pi$
$251$			8.98434i			0.567087i	−0.958959	+	0.283543i	$0.908490\pi$
$252$	10.9535	−	11.0158i	0.690006	−	0.693931i
$253$			0.968827i			0.0609096i
$254$	8.93231	+	7.91977i	0.560463	+	0.496930i
$255$	0.653908	+	1.13260i	0.0409493	+	0.0709263i
$256$	14.1912	−	7.38986i	0.886950	−	0.461866i
$257$	−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
$262$	7.35785	−	2.45312i	0.454569	−	0.151554i
$263$	−1.99243	+	1.15033i	−0.122858	+	0.0709323i	−0.560170	−	0.828378i	$-0.689264\pi$
$263$	−1.99243	+	1.15033i	−0.122858	+	0.0709323i	0.437311	+	0.899310i	$0.355931\pi$
$264$	−1.11223	−	2.35130i	−0.0684529	−	0.144713i
$265$			3.57617i			0.219682i
$266$	−1.35600	+	23.6902i	−0.0831417	+	1.45254i
$267$	−1.39718			−0.0855060
$268$	3.08341	−	2.31315i	0.188349	−	0.141298i
$269$	0.609154	+	1.05509i	0.0371408	+	0.0643297i	0.883998	−	0.467490i	$-0.154842\pi$
$269$	0.609154	+	1.05509i	0.0371408	+	0.0643297i	−0.846857	+	0.531820i	$0.821508\pi$
$270$	−2.01799	+	0.672800i	−0.122811	+	0.0409453i
$271$	12.1092	−	20.9738i	0.735582	−	1.27406i	−0.218886	−	0.975750i	$-0.570242\pi$
$271$	12.1092	−	20.9738i	0.735582	−	1.27406i	0.954468	−	0.298314i	$-0.0964244\pi$
$272$	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
$276$	0.0162001	+	0.134325i	0.000975133	+	0.00808539i
$277$	−7.22720	+	4.17263i	−0.434240	+	0.250709i	−0.701151	−	0.713012i	$-0.747330\pi$
$277$	−7.22720	+	4.17263i	−0.434240	+	0.250709i	0.266911	+	0.963721i	$0.413997\pi$
$278$	−12.2570	−	10.8676i	−0.735128	−	0.651795i
$279$	−15.9904			−0.957322
$280$	0.470004	+	7.46854i	0.0280881	+	0.446331i
$281$	19.8252			1.18267			0.591337	−	0.806425i	$-0.298600\pi$
$281$	19.8252			1.18267			0.591337	+	0.806425i	$0.298600\pi$
$282$	−1.21397	−	1.07636i	−0.0722908	−	0.0640961i
$283$	−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	$0.425701\pi$
$284$	−31.6346	+	3.81526i	−1.87717	+	0.226394i
$285$	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
$290$	4.02010	−	1.34031i	0.236069	−	0.0787055i
$291$	1.01168	+	1.75228i	0.0593058	+	0.102721i
$292$	−9.87270	−	13.1603i	−0.577756	−	0.770145i
$293$	0.487956			0.0285067			0.0142534	−	0.999898i	$-0.495463\pi$
$293$	0.487956			0.0285067			0.0142534	+	0.999898i	$0.495463\pi$
$294$	−2.05466	+	1.43920i	−0.119830	+	0.0839359i
$295$			7.89225i			0.459505i
$296$	−10.4508	−	22.0935i	−0.607439	−	1.28416i
$297$	4.72737	−	2.72935i	0.274310	−	0.158373i
$298$	15.5074	−	5.17018i	0.898318	−	0.299500i
$299$	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
$304$	−24.3544	−	7.09692i	−1.39682	−	0.407036i
$305$	−2.63069	−	4.55649i	−0.150633	−	0.260904i
$306$	16.0331	+	14.2156i	0.916549	+	0.812651i
$307$			11.8335i			0.675376i	0.941258	+	0.337688i	$0.109645\pi$
$307$			11.8335i			0.675376i	−0.941258	+	0.337688i	$0.890355\pi$
$308$	−5.02278	−	18.5348i	−0.286199	−	1.05612i
$309$		−	1.90105i		−	0.108147i
$310$	5.11025	−	5.76360i	0.290243	−	0.327350i
$311$	2.29486	+	3.97481i	0.130129	+	0.225391i	0.923726	−	0.383053i	$-0.125127\pi$
$311$	2.29486	+	3.97481i	0.130129	+	0.225391i	−0.793597	+	0.608444i	$0.791794\pi$
$312$	−3.82955	−	0.313814i	−0.216806	−	0.0177662i
$313$	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	0.677760	−	0.735283i	$-0.262951\pi$
$317$	6.76332	+	3.90481i	0.379866	+	0.219316i	−0.297894	+	0.954599i	$0.596284\pi$
$318$	−0.405346	−	1.21579i	−0.0227307	−	0.0681781i
$319$	−9.41755	+	5.43723i	−0.527282	+	0.304426i
$320$	−7.89328	−	1.30238i	−0.441248	−	0.0728051i
$321$		−	1.89419i		−	0.105724i
$322$	−0.0570811	+	0.997246i	−0.00318100	+	0.0555743i
$323$	−32.7303			−1.82116
$324$	−13.4807	+	10.1131i	−0.748927	+	0.561838i
$325$	−2.68049	−	4.64274i	−0.148687	−	0.257533i
$326$	0.535389	+	1.60584i	0.0296525	+	0.0889393i
$327$	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	$0.0531550\pi$
$332$	−11.4334	+	1.37892i	−0.627491	+	0.0756781i
$333$	21.9695	−	12.6841i	1.20392	−	0.695085i
$334$	12.2553	−	13.8222i	0.670580	−	0.756314i
$335$	−1.92731			−0.105300
$336$	−1.00632	−	2.48581i	−0.0548992	−	0.135612i
$337$	13.8789			0.756033			0.378016	−	0.925799i	$-0.376606\pi$
$337$	13.8789			0.756033			0.378016	+	0.925799i	$0.376606\pi$
$338$	−14.7676	+	16.6557i	−0.803254	+	0.905951i
$339$	4.56852	−	2.63763i	0.248128	−	0.143257i
$340$	−10.2477	+	1.23592i	−0.555762	+	0.0670272i
$341$	−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
$346$	11.0577	+	33.1665i	0.594468	+	1.78304i
$347$	−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	$0.945610\pi$
$348$	−1.21479	+	0.911328i	−0.0651198	+	0.0488523i
$349$	21.0526			1.12692			0.563460	−	0.826143i	$-0.309470\pi$
$349$	21.0526			1.12692			0.563460	+	0.826143i	$0.309470\pi$
$350$	2.05294	−	3.12817i	0.109734	−	0.167208i
$351$		−	8.06371i		−	0.430409i
$352$	20.5142	−	0.785299i	1.09341	−	0.0418566i
$353$	−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	$0.625495\pi$
$354$	−0.894558	−	2.68313i	−0.0475452	−	0.142607i
$355$	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	0.868233	−	0.496157i	$-0.165256\pi$
$359$	16.5346	+	9.54628i	0.872665	+	0.503833i	0.00443178	+	0.999990i	$0.498589\pi$
$360$	0.678172	−	8.27592i	0.0357428	−	0.436179i
$361$	10.6095	+	18.3762i	0.558396	+	0.967169i
$362$	−9.91376	+	11.1812i	−0.521055	+	0.587673i
$363$		−	0.549963i		−	0.0288656i
$364$	−27.4217	−	7.26434i	−1.43729	−	0.380755i
$365$			8.22591i			0.430564i
$366$	1.41082	+	1.25089i	0.0737445	+	0.0653850i
$367$	4.90832	+	8.50146i	0.256212	+	0.443773i	0.965224	−	0.261424i	$-0.0841921\pi$
$367$	4.90832	+	8.50146i	0.256212	+	0.443773i	−0.709012	+	0.705197i	$0.750859\pi$
$368$	−1.02520	−	0.298746i	−0.0534425	−	0.0155732i
$369$	−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	−0.127873	−	0.991791i	$-0.540815\pi$
$373$	−20.2929	−	11.7161i	−1.05072	−	0.606636i	−0.922852	+	0.385154i	$0.874148\pi$
$374$	25.1281	−	8.37773i	1.29934	−	0.433202i
$375$	−0.219454	+	0.126702i	−0.0113326	+	0.00654286i
$376$	11.5754	−	5.47544i	0.596954	−	0.282374i
$377$			16.0640i			0.827337i
$378$	5.02685	−	2.53088i	0.258553	−	0.130175i
$379$	10.7259			0.550954			0.275477	−	0.961308i	$-0.411164\pi$
$379$	10.7259			0.550954			0.275477	+	0.961308i	$0.411164\pi$
$380$	7.61146	+	10.1460i	0.390460	+	0.520480i
$381$	1.06952	+	1.85246i	0.0547932	+	0.0949046i
$382$	−5.31333	+	1.77147i	−0.271854	+	0.0906364i
$383$	0.700673	−	1.21360i	0.0358027	−	0.0620122i	−0.847569	−	0.530686i	$-0.821935\pi$
$383$	0.700673	−	1.21360i	0.0358027	−	0.0620122i	0.883372	+	0.468673i	$0.155268\pi$
$384$	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
$388$	−15.8546	+	1.91213i	−0.804895	+	0.0970737i
$389$	2.49049	−	1.43789i	0.126273	−	0.0729037i	−0.435533	−	0.900173i	$-0.643440\pi$
$389$	2.49049	−	1.43789i	0.126273	−	0.0729037i	0.561806	+	0.827269i	$0.310107\pi$
$390$	1.43752	+	1.27457i	0.0727917	+	0.0645402i
$391$	−1.37779			−0.0696777
$392$	−4.07808	−	19.3744i	−0.205974	−	0.978557i
$393$	1.38975			0.0701036
$394$	−4.28797	−	3.80189i	−0.216025	−	0.191537i
$395$	9.94273	−	5.74044i	0.500273	−	0.288833i
$396$	2.55140	+	21.1552i	0.128213	+	1.06309i
$397$	−1.26251	+	2.18672i	−0.0633633	+	0.109749i	−0.895967	−	0.444121i	$-0.853516\pi$
$397$	−1.26251	+	2.18672i	−0.0633633	+	0.109749i	0.832603	+	0.553870i	$0.186849\pi$
$398$	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	$0.747728\pi$
$402$	0.655226	−	0.218453i	0.0326797	−	0.0108955i
$403$	14.5999	+	25.2877i	0.727271	+	1.25967i
$404$	15.1978	−	11.4013i	0.756119	−	0.567234i
$405$	8.42620			0.418701
$406$	−10.0141	+	5.04186i	−0.496994	+	0.250223i
$407$		−	31.3591i		−	1.55441i
$408$	3.34384	−	1.58172i	0.165545	−	0.0783068i
$409$	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	$0.308878\pi$
$410$	4.65266	−	1.55120i	0.229779	−	0.0766084i
$411$	−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
$416$	14.1474	−	26.8241i	0.693632	−	1.31516i
$417$	−1.46761	−	2.54197i	−0.0718691	−	0.124481i
$418$	−24.3541	−	21.5933i	−1.19120	−	1.05617i
$419$		−	11.1649i		−	0.545441i	−0.962093	−	0.272720i	$-0.912077\pi$
$419$		−	11.1649i		−	0.545441i	0.962093	−	0.272720i	$-0.0879234\pi$
$420$	−0.343372	+	1.29618i	−0.0167549	+	0.0632469i
$421$			35.1106i			1.71119i	0.517648	+	0.855594i	$0.326808\pi$
$421$			35.1106i			1.71119i	−0.517648	+	0.855594i	$0.673192\pi$
$422$	2.26217	−	2.55139i	0.110121	−	0.124200i
$423$	6.64555	+	11.5104i	0.323118	+	0.559656i
$424$	10.0811	+	0.826102i	0.489584	+	0.0401190i
$425$	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
$430$	−2.38838	−	7.16367i	−0.115178	−	0.345463i
$431$	−12.4675	+	7.19809i	−0.600536	+	0.346720i	−0.769253	−	0.638945i	$-0.779371\pi$
$431$	−12.4675	+	7.19809i	−0.600536	+	0.346720i	0.168716	+	0.985665i	$0.446038\pi$
$432$	1.43045	+	5.84408i	0.0688225	+	0.281174i
$433$		−	36.8668i		−	1.77171i	−0.463967	−	0.885853i	$-0.653574\pi$
$433$		−	36.8668i		−	1.77171i	0.463967	−	0.885853i	$-0.346426\pi$
$434$	−11.1818	+	17.0383i	−0.536744	+	0.817863i
$435$	0.759316			0.0364064
$436$	23.4036	+	31.1968i	1.12083	+	1.49406i
$437$	0.846514	+	1.46621i	0.0404943	+	0.0701381i
$438$	−0.932377	−	2.79656i	−0.0445507	−	0.133625i
$439$	18.4785	−	32.0057i	0.881930	−	1.52755i	0.0327369	−	0.999464i	$-0.489578\pi$
$439$	18.4785	−	32.0057i	0.881930	−	1.52755i	0.849193	−	0.528083i	$-0.177089\pi$
$440$	−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	$-0.00466067\pi$
$444$	−0.524367	−	4.34784i	−0.0248854	−	0.206339i
$445$	−4.77496	+	2.75683i	−0.226355	+	0.130686i
$446$	18.6559	−	21.0410i	0.883381	−	0.996322i
$447$	2.92903			0.138538
$448$	21.1622	+	0.400316i	0.999821	+	0.0189132i
$449$	−31.7876			−1.50015			−0.750075	−	0.661353i	$-0.769983\pi$
$449$	−31.7876			−1.50015			−0.750075	+	0.661353i	$0.769983\pi$
$450$	−2.75442	+	3.10658i	−0.129845	+	0.146446i
$451$	−10.8994	+	6.29277i	−0.513233	+	0.296315i
$452$	4.98527	+	41.3357i	0.234487	+	1.94427i
$453$	−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	$-0.0152687\pi$
$458$	5.35133	+	16.0507i	0.250051	+	0.750001i
$459$	3.88146	+	6.72289i	0.181171	+	0.313797i
$460$	0.320406	+	0.427099i	0.0149390	+	0.0199136i
$461$	−9.98126			−0.464874			−0.232437	−	0.972611i	$-0.574670\pi$
$461$	−9.98126			−0.464874			−0.232437	+	0.972611i	$0.574670\pi$
$462$	0.196632	−	3.43530i	0.00914816	−	0.159825i
$463$			24.3501i			1.13165i	0.824527	+	0.565823i	$0.191442\pi$
$463$			24.3501i			1.13165i	−0.824527	+	0.565823i	$0.808558\pi$
$464$	−2.84965	−	11.6422i	−0.132291	−	0.540475i
$465$	1.19531	−	0.690110i	0.0554310	−	0.0320031i
$466$	4.96459	+	14.8907i	0.229980	+	0.689800i
$467$	−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
$472$	22.2481	+	1.82312i	1.02405	+	0.0839161i
$473$	9.68894	+	16.7817i	0.445498	+	0.771625i
$474$	−2.72957	+	3.07855i	−0.125373	+	0.141402i
$475$		−	6.34185i		−	0.290984i
$476$	26.3587	−	7.14298i	1.20815	−	0.327398i
$477$			10.4989i			0.480710i
$478$	26.2610	+	23.2841i	1.20115	+	1.06499i
$479$	3.24704	+	5.62403i	0.148361	+	0.256969i	0.930622	−	0.365982i	$-0.119267\pi$
$479$	3.24704	+	5.62403i	0.148361	+	0.256969i	−0.782261	+	0.622951i	$0.785934\pi$
$480$	−1.26793	−	0.668722i	−0.0578727	−	0.0305228i
$481$	−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
$486$	−8.91862	+	2.97348i	−0.404557	+	0.134880i
$487$	−0.244780	+	0.141324i	−0.0110921	+	0.00640400i	−0.505536	−	0.862806i	$-0.668705\pi$
$487$	−0.244780	+	0.141324i	−0.0110921	+	0.00640400i	0.494444	+	0.869210i	$0.335372\pi$
$488$	−13.4523	+	6.36330i	−0.608958	+	0.288053i
$489$			0.303311i			0.0137162i
$490$	−4.18220	+	8.97269i	−0.188933	+	0.405345i
$491$	18.1902			0.820912			0.410456	−	0.911880i	$-0.365370\pi$
$491$	18.1902			0.820912			0.410456	+	0.911880i	$0.365370\pi$
$492$	−1.40594	+	1.05472i	−0.0633847	+	0.0475506i
$493$	−7.73239	−	13.3929i	−0.348249	−	0.603185i
$494$	−45.6128	+	15.2074i	−2.05222	+	0.684212i
$495$	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	$0.175332\pi$
$500$	−0.239473	−	1.98561i	−0.0107096	−	0.0887992i
$501$	2.86656	−	1.65501i	0.128069	−	0.0739404i
$502$	−9.50702	−	8.42932i	−0.424319	−	0.376219i
$503$	−37.9355			−1.69146			−0.845729	−	0.533612i	$-0.820834\pi$
$503$	−37.9355			−1.69146			−0.845729	+	0.533612i	$0.820834\pi$
$504$	1.37983	+	21.9260i	0.0614625	+	0.976663i
$505$	−9.49950			−0.422722
$506$	−1.02519	−	0.908976i	−0.0455752	−	0.0404089i
$507$	−3.45421	+	1.99429i	−0.153407	+	0.0885695i
$508$	−16.7610	+	2.02145i	−0.743650	+	0.0896873i
$509$	−5.30256	+	9.18430i	−0.235032	+	0.407087i	−0.959282	−	0.282450i	$-0.908853\pi$
$509$	−5.30256	+	9.18430i	−0.235032	+	0.407087i	0.724250	+	0.689537i	$0.242186\pi$
$510$	−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
$514$	3.25945	−	1.08670i	0.143768	−	0.0479325i
$515$	−3.75103	−	6.49697i	−0.165290	−	0.286291i
$516$	1.62395	+	2.16472i	0.0714905	+	0.0952964i
$517$	16.4299			0.722585
$518$	1.84761	−	32.2790i	0.0811792	−	1.41826i
$519$			6.26448i			0.274980i
$520$	−13.7070	+	6.48375i	−0.601090	+	0.284331i
$521$	−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	$0.342881\pi$
$522$	11.8022	−	3.93486i	0.516567	−	0.172224i
$523$	−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
$528$	3.53161	+	1.02912i	0.153694	+	0.0447866i
$529$	−11.4644	−	19.8569i	−0.498451	−	0.863342i
$530$	−3.78422	−	3.35525i	−0.164376	−	0.145743i
$531$			23.1700i			1.00549i
$532$	−23.7962	−	23.6616i	−1.03170	−	1.02586i
$533$			18.5916i			0.805293i
$534$	1.31087	−	1.47846i	0.0567268	−	0.0639793i
$535$	−3.73750	−	6.47354i	−0.161586	−	0.279876i
$536$	−0.445211	+	5.43304i	−0.0192302	+	0.234671i
$537$	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	0.473923	−	0.880566i	$-0.342838\pi$
$541$	−1.20272	−	0.694390i	−0.0517089	−	0.0298542i	−0.525632	+	0.850712i	$0.676171\pi$
$542$	10.8328	+	32.4917i	0.465308	+	1.39564i
$543$	−2.31887	+	1.33880i	−0.0995120	+	0.0574533i
$544$	1.11679	+	29.1737i	0.0478819	+	1.25081i
$545$		−	19.4998i		−	0.835279i
$546$	−4.24958	−	2.78890i	−0.181865	−	0.119354i
$547$	43.0700			1.84154			0.920770	−	0.390106i	$-0.127562\pi$
$547$	43.0700			1.84154			0.920770	+	0.390106i	$0.127562\pi$
$548$	13.4798	−	10.1124i	0.575827	−	0.431980i
$549$	−7.72314	−	13.3769i	−0.329616	−	0.570911i
$550$	1.62328	+	4.86884i	0.0692167	+	0.207608i
$551$	−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
$556$	22.9997	−	2.77386i	0.975403	−	0.117638i
$557$	−20.0779	+	11.5920i	−0.850727	+	0.491167i	−0.860896	−	0.508781i	$-0.830096\pi$
$557$	−20.0779	+	11.5920i	−0.850727	+	0.491167i	0.0101693	+	0.999948i	$0.496763\pi$
$558$	15.0026	−	16.9207i	0.635110	−	0.716310i
$559$	28.6254			1.21073
$560$	−8.34400	−	6.50981i	−0.352598	−	0.275090i
$561$	4.74619			0.200384
$562$	−18.6005	+	20.9786i	−0.784614	+	0.884928i
$563$	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	$0.168659\pi$
$564$	2.27795	−	0.274730i	0.0959189	−	0.0115682i
$565$	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	$0.143272\pi$
$570$	0.718825	+	2.15604i	0.0301083	+	0.0903064i
$571$	−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	$0.923514\pi$
$572$	31.1259	−	23.3503i	1.30144	−	0.976327i
$573$	−1.00358			−0.0419252
$574$	−11.5899	+	5.83519i	−0.483752	+	0.243556i
$575$		−	0.266961i		−	0.0111331i
$576$	−23.1730	−	3.82350i	−0.965541	−	0.159313i
$577$	−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	$0.584459\pi$
$578$	4.31010	+	12.9277i	0.179277	+	0.537720i
$579$	−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
$584$	23.1887	+	1.90020i	0.959554	+	0.0786308i
$585$	−7.86933	−	13.6301i	−0.325357	−	0.563535i
$586$	−0.457812	+	0.516344i	−0.0189120	+	0.0213300i
$587$		−	8.77581i		−	0.362216i	−0.983463	−	0.181108i	$-0.942032\pi$
$587$		−	8.77581i		−	0.362216i	0.983463	−	0.181108i	$-0.0579684\pi$
$588$	0.404800	−	3.52448i	0.0166937	−	0.145347i
$589$			34.5423i			1.42329i
$590$	−8.35139	−	7.40470i	−0.343821	−	0.304847i
$591$	−0.513425	−	0.889277i	−0.0211195	−	0.0365800i
$592$	33.1839	+	9.66985i	1.36385	+	0.397428i
$593$	−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
$598$	−1.92008	+	0.640157i	−0.0785179	+	0.0261780i
$599$	13.6488	−	7.88017i	0.557677	−	0.321975i	−0.194536	−	0.980895i	$-0.562320\pi$
$599$	13.6488	−	7.88017i	0.557677	−	0.321975i	0.752213	+	0.658921i	$0.228987\pi$
$600$	0.306475	+	0.647905i	0.0125118	+	0.0264506i
$601$		−	23.5644i		−	0.961213i	−0.876936	−	0.480606i	$-0.840417\pi$
$601$		−	23.5644i		−	0.961213i	0.876936	−	0.480606i	$-0.159583\pi$
$602$	8.98440	+	17.8448i	0.366177	+	0.727301i
$603$	−5.65816			−0.230418
$604$	−19.3112	−	25.7417i	−0.785761	−	1.04741i
$605$	−1.08515	−	1.87954i	−0.0441177	−	0.0764141i
$606$	3.22954	−	1.07673i	0.131191	−	0.0437393i
$607$	−23.5467	+	40.7841i	−0.955733	+	1.65538i	−0.223050	+	0.974807i	$0.571601\pi$
$607$	−23.5467	+	40.7841i	−0.955733	+	1.65538i	−0.732683	+	0.680570i	$0.761732\pi$
$608$	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
$612$	−30.0852	+	3.62840i	−1.21612	+	0.146669i
$613$	−28.4900	+	16.4487i	−1.15070	+	0.664357i	−0.949058	−	0.315102i	$-0.897961\pi$
$613$	−28.4900	+	16.4487i	−1.15070	+	0.664357i	−0.201642	+	0.979459i	$0.564628\pi$
$614$	−12.5220	−	11.1025i	−0.505345	−	0.448061i
$615$	0.878794			0.0354364
$616$	24.3256	+	12.0748i	0.980107	+	0.486509i
$617$	6.76738			0.272444			0.136222	−	0.990678i	$-0.456504\pi$
$617$	6.76738			0.272444			0.136222	+	0.990678i	$0.456504\pi$
$618$	2.01164	+	1.78361i	0.0809202	+	0.0717473i
$619$	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	$0.229985\pi$
$620$	1.30434	+	10.8151i	0.0523838	+	0.434344i
$621$	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
$626$	−27.5606	+	9.18875i	−1.10154	+	0.367256i
$627$	−2.91606	−	5.05077i	−0.116456	−	0.201708i
$628$	3.45228	−	2.58987i	0.137761	−	0.103347i
$629$	44.5964			1.77817
$630$	6.02700	−	9.18363i	0.240122	−	0.365885i
$631$		−	18.6006i		−	0.740479i	−0.928936	−	0.370240i	$-0.879276\pi$
$631$		−	18.6006i		−	0.740479i	0.928936	−	0.370240i	$-0.120724\pi$
$632$	−13.8854	−	29.3544i	−0.552331	−	1.16765i
$633$	0.529130	−	0.305493i	0.0210310	−	0.0121423i
$634$	−10.4775	+	3.49321i	−0.416114	+	0.138733i
$635$	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
$640$	8.78380	−	7.13055i	0.347210	−	0.281860i
$641$	−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	$0.881018\pi$
$642$	2.00439	+	1.77718i	0.0791070	+	0.0701396i
$643$		−	21.9243i		−	0.864609i	−0.901728	−	0.432305i	$-0.857701\pi$
$643$		−	21.9243i		−	0.864609i	0.901728	−	0.432305i	$-0.142299\pi$
$644$	−1.00171	−	0.996041i	−0.0394728	−	0.0392495i
$645$		−	1.35307i		−	0.0532772i
$646$	30.7083	−	34.6344i	1.20820	−	1.36267i
$647$	−11.3244	−	19.6144i	−0.445207	−	0.771120i	0.552860	−	0.833274i	$-0.313536\pi$
$647$	−11.3244	−	19.6144i	−0.445207	−	0.771120i	−0.998067	+	0.0621538i	$0.980203\pi$
$648$	1.94647	−	23.7533i	0.0764645	−	0.933117i
$649$	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	0.439020	−	0.898477i	$-0.355326\pi$
$653$	−3.05556	−	1.76413i	−0.119573	−	0.0690357i	−0.558594	+	0.829441i	$0.688659\pi$
$654$	2.21023	+	6.62934i	0.0864268	+	0.259228i
$655$	4.74957	−	2.74216i	0.185581	−	0.107145i
$656$	−3.29803	−	13.4741i	−0.128767	−	0.526074i
$657$			24.1495i			0.942162i
$658$	16.9118	+	0.968011i	0.659291	+	0.0377370i
$659$	37.5143			1.46135			0.730676	−	0.682725i	$-0.239205\pi$
$659$	37.5143			1.46135			0.730676	+	0.682725i	$0.239205\pi$
$660$	−1.10373	−	1.47127i	−0.0429626	−	0.0572689i
$661$	−14.6573	−	25.3871i	−0.570102	−	0.987445i	−0.996555	−	0.0829357i	$-0.973570\pi$
$661$	−14.6573	−	25.3871i	−0.570102	−	0.987445i	0.426453	−	0.904510i	$-0.359763\pi$
$662$	5.68179	+	17.0419i	0.220829	+	0.662352i
$663$	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
$668$	3.12806	+	25.9365i	0.121028	+	1.00351i
$669$	4.36368	−	2.51937i	0.168710	−	0.0974046i
$670$	1.80824	−	2.03943i	0.0698586	−	0.0787901i
$671$	−19.0940			−0.737116
$672$	3.57457	+	1.26738i	0.137892	+	0.0488902i
$673$	−16.3062			−0.628558			−0.314279	−	0.949331i	$-0.601763\pi$
$673$	−16.3062			−0.628558			−0.314279	+	0.949331i	$0.601763\pi$
$674$	−13.0215	+	14.6863i	−0.501571	+	0.565697i
$675$	−1.30263	+	0.752075i	−0.0501383	+	0.0289474i
$676$	−3.76931	−	31.2535i	−0.144973	−	1.20206i
$677$	17.9655	−	31.1171i	0.690469	−	1.19593i	−0.281216	−	0.959645i	$-0.590738\pi$
$677$	17.9655	−	31.1171i	0.690469	−	1.19593i	0.971684	−	0.236282i	$-0.0759290\pi$
$678$	−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
$682$	−8.84154	−	26.5192i	−0.338560	−	1.01547i
$683$	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	$0.654206\pi$
$684$	22.3456	+	29.7866i	0.854406	+	1.13892i
$685$	−8.42562			−0.321926
$686$	7.52853	−	25.0863i	0.287441	−	0.957798i
$687$			3.03166i			0.115665i
$688$	−20.7460	+	5.07796i	−0.790932	+	0.193596i
$689$	16.6032	−	9.58587i	0.632532	−	0.365193i
$690$	0.0302591	+	0.0907588i	0.00115194	+	0.00345513i
$691$	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
$696$	0.175403	−	2.14050i	0.00664865	−	0.0811353i
$697$	−8.94907	−	15.5002i	−0.338970	−	0.587113i
$698$	−19.7521	+	22.2774i	−0.747627	+	0.843211i
$699$			2.81256i			0.106381i
$700$	1.38403	+	5.10729i	0.0523115	+	0.193038i
$701$		−	14.4688i		−	0.546481i	−0.961946	−	0.273240i	$-0.911905\pi$
$701$		−	14.4688i		−	0.546481i	0.961946	−	0.273240i	$-0.0880954\pi$
$702$	8.53282	+	7.56556i	0.322051	+	0.285544i
$703$	−27.4001	−	47.4583i	−1.03341	−	1.78992i
$704$	−18.4159	+	22.4444i	−0.694077	+	0.845907i
$705$	−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	0.772646	−	0.634837i	$-0.218933\pi$
$709$	16.2208	+	9.36506i	0.609183	+	0.351712i	−0.163462	+	0.986550i	$0.552266\pi$
$710$	−21.3745	+	7.12627i	−0.802169	+	0.267444i
$711$	29.1897	−	16.8527i	1.09470	−	0.632025i
$712$	6.66841	+	14.0973i	0.249909	+	0.528320i
$713$			1.45407i			0.0544552i
$714$	4.88540	+	0.279634i	0.182832	+	0.0104651i
$715$	−19.4555			−0.727593
$716$	−20.7343	+	15.5547i	−0.774876	+	0.581305i
$717$	3.14439	+	5.44624i	0.117429	+	0.203394i
$718$	−25.6148	+	8.54001i	−0.955937	+	0.318710i
$719$	−14.8589	+	25.7364i	−0.554145	+	0.959807i	0.443824	+	0.896114i	$0.353621\pi$
$719$	−14.8589	+	25.7364i	−0.554145	+	0.959807i	−0.997970	+	0.0636936i	$0.979712\pi$
$720$	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
$724$	−2.53040	−	20.9810i	−0.0940415	−	0.779753i
$725$	2.59502	−	1.49823i	0.0963765	−	0.0556430i
$726$	0.581958	+	0.515988i	0.0215985	+	0.0191501i
$727$	7.23594			0.268366			0.134183	−	0.990957i	$-0.457159\pi$
$727$	7.23594			0.268366			0.134183	+	0.990957i	$0.457159\pi$
$728$	33.4146	−	22.2014i	1.23843	−	0.822839i
$729$	23.5941			0.873854
$730$	−8.70446	−	7.71774i	−0.322167	−	0.285647i
$731$	−23.8656	+	13.7788i	−0.882702	+	0.509628i
$732$	−2.64732	+	0.319278i	−0.0978478	+	0.0118009i
$733$	−11.4471	+	19.8270i	−0.422810	+	0.732328i	−0.996213	−	0.0869452i	$-0.972289\pi$
$733$	−11.4471	+	19.8270i	−0.422810	+	0.732328i	0.573403	+	0.819273i	$0.305623\pi$
$734$	−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
$738$	13.6592	−	4.55400i	0.502803	−	0.167635i
$739$	−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	$-0.429301\pi$
$740$	−10.3709	−	13.8244i	−0.381243	−	0.508195i
$741$	−8.61534			−0.316492
$742$	11.1869	+	7.34167i	0.410682	+	0.269521i
$743$		−	7.99702i		−	0.293382i	−0.989182	−	0.146691i	$-0.953138\pi$
$743$		−	7.99702i		−	0.293382i	0.989182	−	0.146691i	$-0.0468623\pi$
$744$	−1.66929	−	3.52896i	−0.0611991	−	0.129378i
$745$	10.0102	−	5.77937i	0.366744	−	0.211740i
$746$	31.4369	−	10.4811i	1.15099	−	0.383741i
$747$	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	0.702177	−	0.712003i	$-0.252212\pi$
$751$	11.9662	+	6.90868i	0.436652	+	0.252101i	−0.265524	+	0.964104i	$0.585545\pi$
$752$	−5.06629	+	17.3860i	−0.184749	+	0.634001i
$753$	−1.13833	−	1.97165i	−0.0414832	−	0.0718509i
$754$	−16.9985	−	15.0716i	−0.619049	−	0.548875i
$755$			16.0900i			0.585576i
$756$	−2.03819	+	7.69382i	−0.0741281	+	0.279822i
$757$			10.8579i			0.394636i	0.980340	+	0.197318i	$0.0632232\pi$
$757$			10.8579i			0.394636i	−0.980340	+	0.197318i	$0.936777\pi$
$758$	−10.0633	+	11.3499i	−0.365516	+	0.412247i
$759$	−0.122752	−	0.212613i	−0.00445562	−	0.00771736i
$760$	−17.8775	−	1.46498i	−0.648486	−	0.0531403i
$761$	−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
$766$	0.626816	+	1.88007i	0.0226478	+	0.0679295i
$767$	36.6416	−	21.1551i	1.32305	−	0.763865i
$768$	−2.17801	+	3.41979i	−0.0785920	+	0.123401i
$769$			5.29591i			0.190976i	0.995431	+	0.0954878i	$0.0304411\pi$
$769$			5.29591i			0.190976i	−0.995431	+	0.0954878i	$0.969559\pi$
$770$	−6.10631	−	12.1284i	−0.220056	−	0.437076i
$771$	0.615644			0.0221719
$772$	22.8629	−	17.1515i	0.822853	−	0.617297i
$773$	8.85880	+	15.3439i	0.318629	+	0.551882i	0.980202	−	0.197999i	$-0.0634443\pi$
$773$	8.85880	+	15.3439i	0.318629	+	0.551882i	−0.661573	+	0.749881i	$0.730111\pi$
$774$	−7.01177	−	21.0310i	−0.252033	−	0.755944i
$775$	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
$780$	−2.69743	+	0.325322i	−0.0965836	+	0.0116484i
$781$	50.0722	−	28.9092i	1.79172	−	1.03445i
$782$	1.29267	−	1.45794i	0.0462259	−	0.0521359i
$783$	4.50714			0.161072
$784$	24.3277	+	13.8622i	0.868847	+	0.495080i
$785$	−2.15787			−0.0770179
$786$	−1.30390	+	1.47060i	−0.0465084	+	0.0524545i
$787$	−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	$0.522153\pi$
$788$	8.04615	−	0.970400i	0.286632	−	0.0345691i
$789$	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
$794$	−1.12943	−	3.38759i	−0.0400818	−	0.120221i
$795$	−0.453107	−	0.784805i	−0.0160701	−	0.0278342i
$796$	−4.38744	+	3.29142i	−0.155509	+	0.116661i
$797$	12.8746			0.456040			0.228020	−	0.973656i	$-0.426775\pi$
$797$	12.8746			0.456040			0.228020	+	0.973656i	$0.426775\pi$
$798$	−2.70402	−	5.37073i	−0.0957212	−	0.190122i
$799$			23.3652i			0.826603i
$800$	−5.65271	+	0.216390i	−0.199854	+	0.00765054i
$801$	−14.0183	+	8.09345i	−0.495311	+	0.285968i
$802$	−17.3364	−	51.9987i	−0.612170	−	1.83614i
$803$	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
$808$	−2.19440	+	26.7789i	−0.0771988	+	0.942078i
$809$	−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	$0.869524\pi$
$810$	−7.90566	+	8.91641i	−0.277777	+	0.313291i
$811$			24.3882i			0.856385i	0.903688	+	0.428192i	$0.140849\pi$
$811$			24.3882i			0.856385i	−0.903688	+	0.428192i	$0.859151\pi$
$812$	4.06034	−	15.3271i	0.142490	−	0.537876i
$813$			6.13703i			0.215235i
$814$	33.1835	+	29.4219i	1.16308	+	1.03124i
$815$	0.598474	+	1.03659i	0.0209636	+	0.0363101i
$816$	−1.46353	+	5.02237i	−0.0512337	+	0.175818i
$817$	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	0.745503	−	0.666502i	$-0.232209\pi$
$821$	15.5027	+	8.95047i	0.541047	+	0.312373i	−0.204456	+	0.978876i	$0.565543\pi$
$822$	2.86446	−	0.955013i	0.0999094	−	0.0333099i
$823$	23.0780	−	13.3241i	0.804449	−	0.464449i	−0.0405758	−	0.999176i	$-0.512919\pi$
$823$	23.0780	−	13.3241i	0.804449	−	0.464449i	0.845024	+	0.534728i	$0.179586\pi$
$824$	−19.1813	+	9.07325i	−0.668213	+	0.316082i
$825$			0.919625i			0.0320172i
$826$	24.6883	+	16.2023i	0.859015	+	0.563752i
$827$	−38.2259			−1.32924			−0.664622	−	0.747179i	$-0.731408\pi$
$827$	−38.2259			−1.32924			−0.664622	+	0.747179i	$0.731408\pi$
$828$	0.940643	+	1.25387i	0.0326896	+	0.0435750i
$829$	3.10978	+	5.38630i	0.108007	+	0.187074i	0.914963	−	0.403538i	$-0.132220\pi$
$829$	3.10978	+	5.38630i	0.108007	+	0.187074i	−0.806956	+	0.590612i	$0.798886\pi$
$830$	−7.72520	+	2.57559i	−0.268146	+	0.0894001i
$831$	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
$836$	45.6991	−	5.51151i	1.58054	−	0.190620i
$837$	7.09508	−	4.09635i	0.245242	−	0.141590i
$838$	11.8144	+	10.4752i	0.408122	+	0.361859i
$839$	0.919692			0.0317513			0.0158757	−	0.999874i	$-0.494946\pi$
$839$	0.919692			0.0317513			0.0158757	+	0.999874i	$0.494946\pi$
$840$	−1.04942	−	1.57945i	−0.0362085	−	0.0544962i
$841$	20.0212			0.690386
$842$	−37.1532	−	32.9416i	−1.28038	−	1.13524i
$843$	−4.35073	+	2.51189i	−0.149847	+	0.0865142i
$844$	0.577399	+	4.78755i	0.0198749	+	0.164794i
$845$	−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
$850$	−6.92407	+	2.30849i	−0.237494	+	0.0791806i
$851$	−1.15341	−	1.99777i	−0.0395384	−	0.0684826i
$852$	6.45894	−	4.84544i	0.221279	−	0.166002i
$853$	−32.0382			−1.09697			−0.548484	−	0.836161i	$-0.684795\pi$
$853$	−32.0382			−1.09697			−0.548484	+	0.836161i	$0.684795\pi$
$854$	−19.6541	−	1.12498i	−0.672550	−	0.0384959i
$855$		−	18.6183i		−	0.636733i
$856$	−19.1121	+	9.04054i	−0.653240	+	0.308999i
$857$	−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	$0.427994\pi$
$858$	6.61427	−	2.20520i	0.225807	−	0.0752845i
$859$	−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	0.342670	−	0.939456i	$-0.388669\pi$
$863$	−8.80096	−	5.08124i	−0.299588	−	0.172967i	−0.642258	+	0.766489i	$0.722002\pi$
$864$	−7.52615	−	3.96939i	−0.256045	−	0.135041i
$865$	12.3607	+	21.4093i	0.420275	+	0.727938i
$866$	39.0116	+	34.5893i	1.32567	+	1.17539i
$867$			2.44178i			0.0829271i
$868$	−7.53844	−	27.8180i	−0.255871	−	0.944206i
$869$		−	41.6651i		−	1.41339i
$870$	−0.712408	+	0.803490i	−0.0241529	+	0.0272409i
$871$	5.16612	+	8.94798i	0.175047	+	0.303191i
$872$	−54.9695	−	4.50449i	−1.86150	−	0.152541i
$873$	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	−0.151047	−	0.988527i	$-0.548264\pi$
$877$	−32.0621	−	18.5111i	−1.08266	−	0.625074i	−0.931613	+	0.363453i	$0.881598\pi$
$878$	16.5307	+	49.5820i	0.557884	+	1.67331i
$879$	−0.107084	+	0.0618250i	−0.00361185	+	0.00208531i
$880$	14.1001	−	3.45127i	0.475315	−	0.116342i
$881$			46.4428i			1.56470i	0.622841	+	0.782348i	$0.285978\pi$
$881$			46.4428i			1.56470i	−0.622841	+	0.782348i	$0.714022\pi$
$882$	−12.2780	+	26.3419i	−0.413423	+	0.886978i
$883$	−26.4744			−0.890935			−0.445468	−	0.895298i	$-0.646963\pi$
$883$	−26.4744			−0.890935			−0.445468	+	0.895298i	$0.646963\pi$
$884$	33.2070	+	44.2647i	1.11687	+	1.48878i
$885$	−0.999963	−	1.73199i	−0.0336134	−	0.0582201i
$886$	9.65222	+	28.9508i	0.324273	+	0.972620i
$887$	5.77822	−	10.0082i	0.194014	−	0.336041i	−0.752563	−	0.658520i	$-0.771183\pi$
$887$	5.77822	−	10.0082i	0.194014	−	0.336041i	0.946577	+	0.322479i	$0.104516\pi$
$888$	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
$892$	4.76175	+	39.4824i	0.159435	+	1.32197i
$893$	24.8647	−	14.3556i	0.832065	−	0.480393i
$894$	−2.74808	+	3.09943i	−0.0919097	+	0.103660i
$895$	12.9601			0.433209
$896$	−20.2785	+	22.0178i	−0.677457	+	0.735562i
$897$	−0.362664			−0.0121090
$898$	29.8239	−	33.6369i	0.995236	−	1.12248i
$899$	−14.1343	+	8.16047i	−0.471407	+	0.272167i
$900$	−0.703042	−	5.82933i	−0.0234347	−	0.194311i
$901$	−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
$906$	−1.82375	−	5.47012i	−0.0605899	−	0.181733i
$907$	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	$0.602560\pi$
$908$	−29.7218	−	39.6190i	−0.986354	−	1.31480i
$909$	−27.8885			−0.925003
$910$	−20.0261	−	1.14627i	−0.663860	−	0.0379985i
$911$			46.6862i			1.54678i	0.633929	+	0.773391i	$0.281441\pi$
$911$			46.6862i			1.54678i	−0.633929	+	0.773391i	$0.718559\pi$
$912$	6.24387	−	1.52830i	0.206755	−	0.0506072i
$913$	18.0972	−	10.4484i	0.598930	−	0.345792i
$914$	10.3452	+	31.0294i	0.342190	+	1.02636i
$915$	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	0.614088	−	0.789237i	$-0.289524\pi$
$919$	7.20385	+	4.15914i	0.237633	+	0.137198i	−0.376455	+	0.926435i	$0.622857\pi$
$920$	−0.752558	−	0.0616685i	−0.0248111	−	0.00203315i
$921$	−1.49933	−	2.59692i	−0.0494046	−	0.0855714i
$922$	9.36465	−	10.5619i	0.308408	−	0.347839i
$923$		−	85.4105i		−	2.81132i
$924$	3.45067	+	3.43115i	0.113519	+	0.112877i
$925$			8.64104i			0.284116i
$926$	−25.7667	−	22.8459i	−0.846747	−	0.750762i
$927$	−11.0122	−	19.0737i	−0.361689	−	0.626463i
$928$	14.9931	+	7.90755i	0.492172	+	0.259578i
$929$	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
$934$	35.0230	−	11.6767i	1.14599	−	0.382073i
$935$	16.2204	−	9.36487i	0.530465	−	0.306264i
$936$	−40.2407	+	19.0349i	−1.31531	+	0.622175i
$937$			36.9312i			1.20649i	0.797556	+	0.603245i	$0.206126\pi$
$937$			36.9312i			1.20649i	−0.797556	+	0.603245i	$0.793874\pi$
$938$	−3.95665	+	6.02894i	−0.129189	+	0.196852i
$939$	−5.20565			−0.169880
$940$	7.24297	−	5.43361i	0.236240	−	0.177225i
$941$	7.58723	+	13.1415i	0.247336	+	0.428399i	0.962786	−	0.270265i	$-0.0871114\pi$
$941$	7.58723	+	13.1415i	0.247336	+	0.428399i	−0.715449	+	0.698664i	$0.753778\pi$
$942$	0.733612	−	0.244587i	0.0239024	−	0.00796908i
$943$	−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	$0.983350\pi$
$948$	−0.696698	−	5.77673i	−0.0226277	−	0.187619i
$949$	38.1907	−	22.0494i	1.23972	−	0.715755i
$950$	6.71079	+	5.95007i	0.217727	+	0.193046i
$951$	−1.97899			−0.0641730
$952$	−17.1719	+	34.5939i	−0.556543	+	1.12120i
$953$	−2.60332			−0.0843298			−0.0421649	−	0.999111i	$-0.513425\pi$
$953$	−2.60332			−0.0843298			−0.0421649	+	0.999111i	$0.513425\pi$
$954$	−11.1097	−	9.85029i	−0.359688	−	0.318915i
$955$	−3.42981	+	1.98020i	−0.110986	+	0.0640779i
$956$	−49.2774	+	5.94306i	−1.59374	+	0.192212i
$957$	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
$962$	62.1494	−	20.7207i	2.00378	−	0.668061i
$963$	−10.9725	−	19.0049i	−0.353584	−	0.612426i
$964$	−13.6504	−	18.1959i	−0.439649	−	0.586050i
$965$	−14.2906			−0.460031
$966$	−0.113826	−	0.226082i	−0.00366230	−	0.00727406i
$967$			43.0328i			1.38384i	0.721973	+	0.691921i	$0.243236\pi$
$967$			43.0328i			1.38384i	−0.721973	+	0.691921i	$0.756764\pi$
$968$	−5.54905	+	2.62484i	−0.178353	+	0.0843656i
$969$	7.18279	−	4.14699i	0.230744	−	0.133220i
$970$	−10.7124	+	3.57154i	−0.343955	+	0.114675i
$971$	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
$976$	5.88780	−	20.2051i	0.188464	−	0.646750i
$977$	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	$0.826399\pi$
$978$	−0.320956	−	0.284573i	−0.0102631	−	0.00909966i
$979$			20.0095i			0.639508i
$980$	−5.57085	−	12.8439i	−0.177954	−	0.410283i
$981$		−	57.2472i		−	1.82776i
$982$	−17.0665	+	19.2484i	−0.544613	+	0.614242i
$983$	5.32160	+	9.21728i	0.169733	+	0.293986i	0.938326	−	0.345752i	$-0.112376\pi$
$983$	5.32160	+	9.21728i	0.169733	+	0.293986i	−0.768593	+	0.639738i	$0.779043\pi$
$984$	0.203003	−	2.47730i	0.00647150	−	0.0789735i
$985$	−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
$990$	4.76559	+	14.2939i	0.151461	+	0.454289i
$991$	−34.2678	+	19.7845i	−1.08855	+	0.628476i	−0.933191	−	0.359382i	$-0.882987\pi$
$991$	−34.2678	+	19.7845i	−1.08855	+	0.628476i	−0.155361	+	0.987858i	$0.549654\pi$
$992$	30.7888	−	1.17862i	0.977545	−	0.0374211i
$993$			3.21887i			0.102148i
$994$	53.2442	−	26.8070i	1.68880	−	0.850267i
$995$	2.74240			0.0869401
$996$	2.33440	−	1.75125i	0.0739684	−	0.0554904i
$997$	−10.3520	−	17.9301i	−0.327850	−	0.567852i	0.654235	−	0.756291i	$-0.272991\pi$
$997$	−10.3520	−	17.9301i	−0.327850	−	0.567852i	−0.982085	+	0.188439i	$0.939657\pi$
$998$	−0.543926	−	1.63145i	−0.0172177	−	0.0516425i
$999$	−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.f.131.3	yes	24
4.3	odd	2		1120.2.bz.e.271.8		24
7.3	odd	6		280.2.bj.e.171.6	yes	24
8.3	odd	2		280.2.bj.e.131.6	✓	24
8.5	even	2		1120.2.bz.f.271.8		24
28.3	even	6		1120.2.bz.f.591.8		24
56.3	even	6	inner	280.2.bj.f.171.3	yes	24
56.45	odd	6		1120.2.bz.e.591.8		24

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

\(f(q)\)	\(=\)	\(q+(-0.938224 + 1.05818i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-0.239473 - 1.98561i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(0.0718241 - 0.351096i) q^{6} +(0.978876 - 2.45801i) q^{7} +(2.32581 + 1.60954i) q^{8} +(-1.46789 + 2.54247i) q^{9} +O(q^{10})\)	\(q+(-0.938224 + 1.05818i) q^{2} +(-0.219454 + 0.126702i) q^{3} +(-0.239473 - 1.98561i) 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} +(-0.447296 - 1.34161i) q^{10} +(1.81455 + 3.14289i) q^{11} +(0.304134 + 0.405409i) q^{12} +5.36097 q^{13} +(1.68260 + 3.34198i) q^{14} -0.253404i q^{15} +(-3.88531 + 0.951001i) q^{16} +(-4.46956 + 2.58050i) q^{17} +(-1.31316 - 3.93869i) 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} +(-0.714340 - 0.0585367i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-5.02979 + 5.67285i) q^{26} -1.50415i q^{27} +(-5.11506 - 1.35504i) q^{28} +2.99647i q^{29} +(0.268146 + 0.237749i) q^{30} +(2.72336 + 4.71700i) q^{31} +(2.63896 - 5.00359i) 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} +(-8.50831 + 2.83668i) q^{38} +(-1.17649 + 0.679245i) q^{39} +(-2.55681 + 1.20944i) q^{40} +3.46796i q^{41} +(-0.792689 - 0.520223i) q^{42} +5.33960 q^{43} +(5.80601 - 4.35562i) q^{44} +(-1.46789 - 2.54247i) q^{45} +(-0.358159 + 0.119411i) 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} +(-1.28381 - 10.6448i) q^{52} +(3.09705 - 1.78808i) q^{53} +(1.59166 + 1.41123i) q^{54} -3.62909 q^{55} +(6.23294 - 4.14131i) q^{56} -1.60705 q^{57} +(-3.17079 - 2.81136i) q^{58} +(6.83489 - 3.94613i) q^{59} +(-0.503161 + 0.0606834i) 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} +(1.23378 - 0.411344i) q^{66} +(0.963653 + 1.66910i) q^{67} +(6.19421 + 8.25684i) q^{68} -0.0676490 q^{69} +(-3.73554 - 0.213818i) q^{70} -15.9319i q^{71} +(-7.50624 + 3.55065i) q^{72} +(7.12385 - 4.11296i) q^{73} +(11.5929 - 3.86510i) 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} +(1.11906 - 3.84027i) q^{80} +(-4.21310 - 7.29731i) q^{81} +(-3.66971 - 3.25372i) q^{82} -5.75814i q^{83} +(1.29421 - 0.350719i) q^{84} -5.16100i q^{85} +(-5.00973 + 5.65023i) q^{86} +(-0.379658 - 0.657587i) q^{87} +(-0.838327 + 10.2303i) 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} +(2.02503 + 6.07385i) q^{94} +(-5.49220 + 3.17092i) q^{95} +(0.0548340 + 1.43242i) q^{96} -7.98474i q^{97} +(9.86168 - 0.864454i) 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	\( 24 q + 3 q^{2} + 12 q^{3} + q^{4} - 12 q^{5} - 2 q^{6} + 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 10 q^{12} + 20 q^{13} + 5 q^{14} - 3 q^{16} + 6 q^{17} + 3 q^{18} + 18 q^{19} - 2 q^{20} - 26 q^{21} - 16 q^{22} + 18 q^{23} - 18 q^{24} - 12 q^{25} - 37 q^{26} - 41 q^{28} - 8 q^{30} - 6 q^{31} + 3 q^{32} + 12 q^{33} - 20 q^{34} - 8 q^{35} - 22 q^{36} + 15 q^{38} - 18 q^{39} + 3 q^{40} - 12 q^{42} + 32 q^{43} + 35 q^{44} + 12 q^{45} - 49 q^{46} - 14 q^{48} + 8 q^{49} - 22 q^{51} - 41 q^{52} + 30 q^{53} + 104 q^{54} - 16 q^{55} + 44 q^{56} - 44 q^{57} - 54 q^{58} - 18 q^{59} - 8 q^{60} + 22 q^{61} + 8 q^{62} - 12 q^{63} + 58 q^{64} - 10 q^{65} + 8 q^{66} - 8 q^{67} + 18 q^{68} - 12 q^{69} - q^{70} - 17 q^{72} + 30 q^{73} + 53 q^{74} - 12 q^{75} + 8 q^{76} - 32 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 4 q^{81} - 57 q^{82} + 42 q^{86} + 14 q^{87} - 17 q^{88} - 60 q^{89} + 24 q^{90} + 18 q^{91} - 38 q^{92} - 18 q^{93} + 19 q^{94} - 18 q^{95} - 74 q^{96} + 3 q^{98} - 56 q^{99}+O(q^{100}) \) 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 + 10 * q^12 + 20 * q^13 + 5 * q^14 - 3 * q^16 + 6 * q^17 + 3 * q^18 + 18 * q^19 - 2 * q^20 - 26 * q^21 - 16 * q^22 + 18 * q^23 - 18 * q^24 - 12 * q^25 - 37 * q^26 - 41 * q^28 - 8 * q^30 - 6 * q^31 + 3 * q^32 + 12 * q^33 - 20 * q^34 - 8 * q^35 - 22 * q^36 + 15 * q^38 - 18 * q^39 + 3 * q^40 - 12 * q^42 + 32 * q^43 + 35 * q^44 + 12 * q^45 - 49 * q^46 - 14 * q^48 + 8 * q^49 - 22 * q^51 - 41 * q^52 + 30 * q^53 + 104 * q^54 - 16 * q^55 + 44 * q^56 - 44 * q^57 - 54 * q^58 - 18 * q^59 - 8 * q^60 + 22 * q^61 + 8 * q^62 - 12 * q^63 + 58 * q^64 - 10 * q^65 + 8 * q^66 - 8 * q^67 + 18 * q^68 - 12 * q^69 - q^70 - 17 * q^72 + 30 * q^73 + 53 * q^74 - 12 * q^75 + 8 * q^76 - 32 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 4 * q^81 - 57 * q^82 + 42 * q^86 + 14 * q^87 - 17 * q^88 - 60 * q^89 + 24 * q^90 + 18 * q^91 - 38 * q^92 - 18 * q^93 + 19 * q^94 - 18 * q^95 - 74 * q^96 + 3 * q^98 - 56 * q^99

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