LMFDB - Embedded newform 280.2.bj.f.171.4

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			171.4
Character	$\chi$	$=$	280.171
Dual form			280.2.bj.f.131.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.771333 + 1.18535i) q^{2} +(0.784482 + 0.452921i) q^{3} +(-0.810092 - 1.82859i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.14196 + 0.580530i) q^{6} +(1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +O(q^{10})$	\(q+(-0.771333 + 1.18535i) q^{2} +(0.784482 + 0.452921i) q^{3} +(-0.810092 - 1.82859i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.14196 + 0.580530i) q^{6} +(1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +(1.41221 + 0.0753205i) q^{10} +(0.620880 - 1.07539i) q^{11} +(0.192705 - 1.80141i) q^{12} +4.31348 q^{13} +(1.82305 + 3.26749i) q^{14} -0.905842i q^{15} +(-2.68750 + 2.96266i) q^{16} +(-1.49339 - 0.862209i) q^{17} +(3.07783 + 0.164157i) q^{18} +(2.12801 - 1.22861i) q^{19} +(-1.17856 + 1.61586i) q^{20} +(2.02775 - 1.27752i) q^{21} +(0.795811 + 1.56544i) q^{22} +(-0.393079 + 0.226944i) q^{23} +(1.98665 + 1.61791i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-3.32713 + 5.11297i) q^{26} -4.69176i q^{27} +(-5.27928 - 0.359382i) q^{28} +7.69695i q^{29} +(1.07374 + 0.698705i) q^{30} +(0.133444 - 0.231133i) q^{31} +(-1.43882 - 5.47081i) q^{32} +(0.974138 - 0.562419i) q^{33} +(2.17392 - 1.10513i) q^{34} +(-2.64378 + 0.102102i) q^{35} +(-2.56862 + 3.52168i) q^{36} +(4.24881 - 2.45305i) q^{37} +(-0.185078 + 3.47009i) q^{38} +(3.38385 + 1.95367i) q^{39} +(-1.00629 - 2.64337i) q^{40} +12.2703i q^{41} +(-0.0497685 + 3.38898i) q^{42} +1.73856 q^{43} +(-2.46943 - 0.264167i) q^{44} +(-1.08973 + 1.88746i) q^{45} +(0.0341871 - 0.640985i) q^{46} +(-5.37669 - 9.31270i) q^{47} +(-3.45015 + 1.10693i) q^{48} +(-3.95712 - 5.77419i) q^{49} +(-0.640874 - 1.26067i) q^{50} +(-0.781025 - 1.35278i) q^{51} +(-3.49432 - 7.88760i) q^{52} +(7.50728 + 4.33433i) q^{53} +(5.56136 + 3.61891i) q^{54} -1.24176 q^{55} +(4.49808 - 5.98058i) q^{56} +2.22584 q^{57} +(-9.12356 - 5.93691i) q^{58} +(-4.83628 - 2.79223i) q^{59} +(-1.65642 + 0.733815i) q^{60} +(0.462932 + 0.801822i) q^{61} +(0.171042 + 0.336458i) q^{62} +(-5.76199 + 0.222526i) q^{63} +(7.59462 + 2.51432i) q^{64} +(-2.15674 - 3.73558i) q^{65} +(-0.0847233 + 1.58850i) q^{66} +(0.465968 - 0.807080i) q^{67} +(-0.366846 + 3.42927i) q^{68} -0.411152 q^{69} +(1.91821 - 3.21255i) q^{70} -8.36052i q^{71} +(-2.19315 - 5.76109i) q^{72} +(-6.21972 - 3.59095i) q^{73} +(-0.369530 + 6.92844i) q^{74} +(-0.784482 + 0.452921i) q^{75} +(-3.97050 - 2.89597i) q^{76} +(-1.75127 - 2.77972i) q^{77} +(-4.92584 + 2.50411i) q^{78} +(-9.56196 + 5.52060i) q^{79} +(3.90949 + 0.846117i) q^{80} +(-1.14418 + 1.98177i) q^{81} +(-14.5445 - 9.46448i) q^{82} +8.49133i q^{83} +(-3.97873 - 2.67303i) q^{84} +1.72442i q^{85} +(-1.34101 + 2.06079i) q^{86} +(-3.48611 + 6.03812i) q^{87} +(2.21788 - 2.72337i) q^{88} +(-6.91420 + 3.99191i) q^{89} +(-1.39675 - 2.74756i) q^{90} +(5.32054 - 10.0963i) q^{91} +(0.733419 + 0.534936i) q^{92} +(0.209370 - 0.120880i) q^{93} +(15.1860 + 0.809950i) q^{94} +(-2.12801 - 1.22861i) q^{95} +(1.34912 - 4.94343i) q^{96} +3.92866i q^{97} +(9.89666 - 0.236735i) q^{98} -2.70635 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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.771333	+	1.18535i	−0.545415	+	0.838166i
$2$	−0.771333	+	1.18535i	−0.545415	+	0.838166i
$3$	0.784482	+	0.452921i	0.452921	+	0.261494i	0.709063	−	0.705145i	$-0.249118\pi$
$3$	0.784482	+	0.452921i	0.452921	+	0.261494i	−0.256142	+	0.966639i	$0.582451\pi$
$4$	−0.810092	−	1.82859i	−0.405046	−	0.914296i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−1.14196	+	0.580530i	−0.466205	+	0.237001i
$7$	1.23347	−	2.34063i	0.466207	−	0.884676i
$7$	1.23347	−	2.34063i	0.466207	−	0.884676i
$8$	2.79237	+	0.450214i	0.987250	+	0.159175i
$9$	−1.08973	−	1.88746i	−0.363242	−	0.629153i
$10$	1.41221	+	0.0753205i	0.446579	+	0.0238184i
$11$	0.620880	−	1.07539i	0.187202	−	0.324244i	−0.757114	−	0.653283i	$-0.773391\pi$
$11$	0.620880	−	1.07539i	0.187202	−	0.324244i	0.944316	+	0.329039i	$0.106725\pi$
$12$	0.192705	−	1.80141i	0.0556292	−	0.520021i
$13$	4.31348			1.19634			0.598172	−	0.801368i	$-0.295894\pi$
$13$	4.31348			1.19634			0.598172	+	0.801368i	$0.295894\pi$
$14$	1.82305	+	3.26749i	0.487230	+	0.873274i
$15$		−	0.905842i		−	0.233887i
$16$	−2.68750	+	2.96266i	−0.671875	+	0.740664i
$17$	−1.49339	−	0.862209i	−0.362200	−	0.209116i	0.307845	−	0.951436i	$-0.400392\pi$
$17$	−1.49339	−	0.862209i	−0.362200	−	0.209116i	−0.670046	+	0.742320i	$0.733725\pi$
$18$	3.07783	+	0.164157i	0.725452	+	0.0386922i
$19$	2.12801	−	1.22861i	0.488198	−	0.281861i	−0.235628	−	0.971843i	$-0.575715\pi$
$19$	2.12801	−	1.22861i	0.488198	−	0.281861i	0.723827	+	0.689982i	$0.242382\pi$
$20$	−1.17856	+	1.61586i	−0.263534	+	0.361317i
$21$	2.02775	−	1.27752i	0.442492	−	0.278778i
$22$	0.795811	+	1.56544i	0.169667	+	0.333754i
$23$	−0.393079	+	0.226944i	−0.0819627	+	0.0473212i	−0.540421	−	0.841395i	$-0.681735\pi$
$23$	−0.393079	+	0.226944i	−0.0819627	+	0.0473212i	0.458459	+	0.888716i	$0.348402\pi$
$24$	1.98665	+	1.61791i	0.405523	+	0.330254i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	−3.32713	+	5.11297i	−0.652503	+	1.00274i
$27$		−	4.69176i		−	0.902930i
$28$	−5.27928	−	0.359382i	−0.997691	−	0.0679168i
$29$			7.69695i			1.42929i	0.699488	+	0.714644i	$0.253411\pi$
$29$			7.69695i			1.42929i	−0.699488	+	0.714644i	$0.746589\pi$
$30$	1.07374	+	0.698705i	0.196037	+	0.127566i
$31$	0.133444	−	0.231133i	0.0239673	−	0.0415126i	−0.853793	−	0.520613i	$-0.825704\pi$
$31$	0.133444	−	0.231133i	0.0239673	−	0.0415126i	0.877760	+	0.479100i	$0.159037\pi$
$32$	−1.43882	−	5.47081i	−0.254349	−	0.967112i
$33$	0.974138	−	0.562419i	0.169576	−	0.0979045i
$34$	2.17392	−	1.10513i	0.372824	−	0.189529i
$35$	−2.64378	+	0.102102i	−0.446880	+	0.0172584i
$36$	−2.56862	+	3.52168i	−0.428103	+	0.586947i
$37$	4.24881	−	2.45305i	0.698501	−	0.403280i	−0.108288	−	0.994120i	$-0.534537\pi$
$37$	4.24881	−	2.45305i	0.698501	−	0.403280i	0.806789	+	0.590840i	$0.201204\pi$
$38$	−0.185078	+	3.47009i	−0.0300237	+	0.562923i
$39$	3.38385	+	1.95367i	0.541849	+	0.312837i
$40$	−1.00629	−	2.64337i	−0.159108	−	0.417953i
$41$			12.2703i			1.91630i	0.286271	+	0.958149i	$0.407584\pi$
$41$			12.2703i			1.91630i	−0.286271	+	0.958149i	$0.592416\pi$
$42$	−0.0497685	+	3.38898i	−0.00767945	+	0.522932i
$43$	1.73856			0.265128			0.132564	−	0.991174i	$-0.457679\pi$
$43$	1.73856			0.265128			0.132564	+	0.991174i	$0.457679\pi$
$44$	−2.46943	−	0.264167i	−0.372280	−	0.0398247i
$45$	−1.08973	+	1.88746i	−0.162447	+	0.281366i
$46$	0.0341871	−	0.640985i	0.00504062	−	0.0945081i
$47$	−5.37669	−	9.31270i	−0.784271	−	1.35840i	−0.929434	−	0.368990i	$-0.879704\pi$
$47$	−5.37669	−	9.31270i	−0.784271	−	1.35840i	0.145162	−	0.989408i	$-0.453630\pi$
$48$	−3.45015	+	1.10693i	−0.497986	+	0.159771i
$49$	−3.95712	−	5.77419i	−0.565302	−	0.824884i
$50$	−0.640874	−	1.26067i	−0.0906332	−	0.178285i
$51$	−0.781025	−	1.35278i	−0.109365	−	0.189426i
$52$	−3.49432	−	7.88760i	−0.484574	−	1.09381i
$53$	7.50728	+	4.33433i	1.03120	+	0.595366i	0.917329	−	0.398129i	$-0.130340\pi$
$53$	7.50728	+	4.33433i	1.03120	+	0.595366i	0.113875	+	0.993495i	$0.463674\pi$
$54$	5.56136	+	3.61891i	0.756806	+	0.492471i
$55$	−1.24176			−0.167439
$56$	4.49808	−	5.98058i	0.601081	−	0.799188i
$57$	2.22584			0.294820
$58$	−9.12356	−	5.93691i	−1.19798	−	0.779555i
$59$	−4.83628	−	2.79223i	−0.629630	−	0.363517i	0.150978	−	0.988537i	$-0.451758\pi$
$59$	−4.83628	−	2.79223i	−0.629630	−	0.363517i	−0.780609	+	0.625020i	$0.785091\pi$
$60$	−1.65642	+	0.733815i	−0.213842	+	0.0947351i
$61$	0.462932	+	0.801822i	0.0592724	+	0.102663i	0.894139	−	0.447790i	$-0.147789\pi$
$61$	0.462932	+	0.801822i	0.0592724	+	0.102663i	−0.834867	+	0.550452i	$0.814455\pi$
$62$	0.171042	+	0.336458i	0.0217224	+	0.0427302i
$63$	−5.76199	+	0.222526i	−0.725942	+	0.0280357i
$64$	7.59462	+	2.51432i	0.949327	+	0.314290i
$65$	−2.15674	−	3.73558i	−0.267511	−	0.463342i
$66$	−0.0847233	+	1.58850i	−0.0104287	+	0.195531i
$67$	0.465968	−	0.807080i	0.0569270	−	0.0986005i	−0.836158	−	0.548489i	$-0.815203\pi$
$67$	0.465968	−	0.807080i	0.0569270	−	0.0986005i	0.893085	+	0.449889i	$0.148536\pi$
$68$	−0.366846	+	3.42927i	−0.0444866	+	0.415860i
$69$	−0.411152			−0.0494968
$70$	1.91821	−	3.21255i	0.229270	−	0.383973i
$71$		−	8.36052i		−	0.992211i	−0.868262	−	0.496105i	$-0.834763\pi$
$71$		−	8.36052i		−	0.992211i	0.868262	−	0.496105i	$-0.165237\pi$
$72$	−2.19315	−	5.76109i	−0.258465	−	0.678951i
$73$	−6.21972	−	3.59095i	−0.727963	−	0.420289i	0.0897137	−	0.995968i	$-0.471405\pi$
$73$	−6.21972	−	3.59095i	−0.727963	−	0.420289i	−0.817676	+	0.575678i	$0.804738\pi$
$74$	−0.369530	+	6.92844i	−0.0429570	+	0.805415i
$75$	−0.784482	+	0.452921i	−0.0905842	+	0.0522988i
$76$	−3.97050	−	2.89597i	−0.455448	−	0.332191i
$77$	−1.75127	−	2.77972i	−0.199576	−	0.316778i
$78$	−4.92584	+	2.50411i	−0.557742	+	0.283534i
$79$	−9.56196	+	5.52060i	−1.07580	+	0.621116i	−0.929762	−	0.368162i	$-0.879987\pi$
$79$	−9.56196	+	5.52060i	−1.07580	+	0.621116i	−0.146043	+	0.989278i	$0.546654\pi$
$80$	3.90949	+	0.846117i	0.437094	+	0.0945987i
$81$	−1.14418	+	1.98177i	−0.127131	+	0.220197i
$82$	−14.5445	−	9.46448i	−1.60618	−	1.04518i
$83$			8.49133i			0.932045i	0.884773	+	0.466022i	$0.154313\pi$
$83$			8.49133i			0.932045i	−0.884773	+	0.466022i	$0.845687\pi$
$84$	−3.97873	−	2.67303i	−0.434115	−	0.291651i
$85$			1.72442i			0.187039i
$86$	−1.34101	+	2.06079i	−0.144605	+	0.222221i
$87$	−3.48611	+	6.03812i	−0.373750	+	0.647355i
$88$	2.21788	−	2.72337i	0.236427	−	0.290312i
$89$	−6.91420	+	3.99191i	−0.732903	+	0.423142i	−0.819483	−	0.573103i	$-0.805740\pi$
$89$	−6.91420	+	3.99191i	−0.732903	+	0.423142i	0.0865800	+	0.996245i	$0.472406\pi$
$90$	−1.39675	−	2.74756i	−0.147231	−	0.289618i
$91$	5.32054	−	10.0963i	0.557744	−	1.05838i
$92$	0.733419	+	0.534936i	0.0764643	+	0.0557709i
$93$	0.209370	−	0.120880i	0.0217106	−	0.0125346i
$94$	15.1860	+	0.809950i	1.56632	+	0.0835399i
$95$	−2.12801	−	1.22861i	−0.218329	−	0.126052i
$96$	1.34912	−	4.94343i	0.137694	−	0.504536i
$97$			3.92866i			0.398895i	0.979909	+	0.199447i	$0.0639147\pi$
$97$			3.92866i			0.398895i	−0.979909	+	0.199447i	$0.936085\pi$
$98$	9.89666	−	0.236735i	0.999714	−	0.0239139i
$99$	−2.70635			−0.271999
$100$	1.98865	+	0.212736i	0.198865	+	0.0212736i
$101$	−4.82944	+	8.36483i	−0.480547	+	0.832332i	−0.999751	−	0.0223184i	$-0.992895\pi$
$101$	−4.82944	+	8.36483i	−0.480547	+	0.832332i	0.519204	+	0.854651i	$0.326229\pi$
$102$	2.20594	+	0.117654i	0.218420	+	0.0116495i
$103$	−3.82962	−	6.63310i	−0.377344	−	0.653578i	0.613331	−	0.789826i	$-0.289829\pi$
$103$	−3.82962	−	6.63310i	−0.377344	−	0.653578i	−0.990675	+	0.136247i	$0.956496\pi$
$104$	12.0448	+	1.94199i	1.18109	+	0.190427i
$105$	−2.12024	−	1.11733i	−0.206914	−	0.109040i
$106$	−10.9283	+	5.55552i	−1.06145	+	0.539599i
$107$	8.44757	+	14.6316i	0.816657	+	1.41449i	0.908132	+	0.418684i	$0.137509\pi$
$107$	8.44757	+	14.6316i	0.816657	+	1.41449i	−0.0914746	+	0.995807i	$0.529158\pi$
$108$	−8.57932	+	3.80076i	−0.825546	+	0.365728i
$109$	7.93420	+	4.58081i	0.759959	+	0.438762i	0.829281	−	0.558832i	$-0.188750\pi$
$109$	7.93420	+	4.58081i	0.759959	+	0.438762i	−0.0693221	+	0.997594i	$0.522084\pi$
$110$	0.957809	−	1.47191i	0.0913235	−	0.140342i
$111$	4.44416			0.421821
$112$	3.61954	+	9.94479i	0.342015	+	0.939695i
$113$	20.4047			1.91952			0.959758	−	0.280829i	$-0.0906094\pi$
$113$	20.4047			1.91952			0.959758	+	0.280829i	$0.0906094\pi$
$114$	−1.71687	+	2.63840i	−0.160799	+	0.247108i
$115$	0.393079	+	0.226944i	0.0366548	+	0.0211627i
$116$	14.0746	−	6.23524i	1.30679	−	0.578928i
$117$	−4.70051	−	8.14152i	−0.434562	−	0.752684i
$118$	7.04014	−	3.57893i	0.648098	−	0.329468i
$119$	−3.86016	+	2.43197i	−0.353861	+	0.222938i
$120$	0.407822	−	2.52944i	0.0372289	−	0.230905i
$121$	4.72902	+	8.19090i	0.429911	+	0.744627i
$122$	−1.30751	−	0.0697365i	−0.118376	−	0.00631364i
$123$	−5.55747	+	9.62582i	−0.501100	+	0.867931i
$124$	−0.530749	−	0.0567769i	−0.0476627	−	0.00509871i
$125$	1.00000			0.0894427
$126$	4.18064	−	7.00159i	0.372441	−	0.623752i
$127$			5.18278i			0.459897i	0.973203	+	0.229949i	$0.0738558\pi$
$127$			5.18278i			0.459897i	−0.973203	+	0.229949i	$0.926144\pi$
$128$	−8.83832	+	7.06287i	−0.781204	+	0.624276i
$129$	1.36387	+	0.787430i	0.120082	+	0.0693293i
$130$	6.09152	+	0.324893i	0.534262	+	0.0284950i
$131$	11.7551	−	6.78684i	1.02705	−	0.592969i	0.110913	−	0.993830i	$-0.464622\pi$
$131$	11.7551	−	6.78684i	1.02705	−	0.592969i	0.916139	+	0.400861i	$0.131289\pi$
$132$	−1.81758	−	1.32569i	−0.158200	−	0.115387i
$133$	−0.250886	−	6.49633i	−0.0217546	−	0.563303i
$134$	0.597253	+	1.17486i	0.0515948	+	0.101492i
$135$	−4.06319	+	2.34588i	−0.349703	+	0.201901i
$136$	−3.78191	−	3.07995i	−0.324296	−	0.264103i
$137$	−6.46913	+	11.2049i	−0.552695	+	0.957296i	0.445384	+	0.895340i	$0.353067\pi$
$137$	−6.46913	+	11.2049i	−0.552695	+	0.957296i	−0.998079	+	0.0619561i	$0.980266\pi$
$138$	0.317135	−	0.487357i	0.0269963	−	0.0414866i
$139$		−	17.8027i		−	1.51001i	−0.655720	−	0.755004i	$-0.727635\pi$
$139$		−	17.8027i		−	1.51001i	0.655720	−	0.755004i	$-0.272365\pi$
$140$	2.32841	+	4.75169i	0.196786	+	0.401591i
$141$		−	9.74087i		−	0.820329i
$142$	9.91011	+	6.44874i	0.831638	+	0.541166i
$143$	2.67815	−	4.63869i	0.223958	−	0.387907i
$144$	8.52053	+	1.84407i	0.710044	+	0.153672i
$145$	6.66576	−	3.84848i	0.553561	−	0.319599i
$146$	9.05399	−	4.60270i	0.749314	−	0.380922i
$147$	−0.489037	−	6.32201i	−0.0403351	−	0.521430i
$148$	−7.92757	−	5.78215i	−0.651642	−	0.475290i
$149$	−12.7146	+	7.34080i	−1.04162	+	0.601382i	−0.920293	−	0.391230i	$-0.872050\pi$
$149$	−12.7146	+	7.34080i	−1.04162	+	0.601382i	−0.121331	+	0.992612i	$0.538716\pi$
$150$	0.0682284	−	1.27924i	0.00557083	−	0.104449i
$151$	14.9018	+	8.60359i	1.21270	+	0.700150i	0.963346	−	0.268264i	$-0.0864498\pi$
$151$	14.9018	+	8.60359i	1.21270	+	0.700150i	0.249350	+	0.968414i	$0.419783\pi$
$152$	6.49531	−	2.47266i	0.526839	−	0.200559i
$153$			3.75829i			0.303839i
$154$	4.64574	+	0.0682244i	0.374364	+	0.00549768i
$155$	−0.266889			−0.0214370
$156$	0.831230	−	7.77033i	0.0665517	−	0.622124i
$157$	−5.35139	+	9.26887i	−0.427087	+	0.739737i	−0.996613	−	0.0822369i	$-0.973794\pi$
$157$	−5.35139	+	9.26887i	−0.427087	+	0.739737i	0.569526	+	0.821974i	$0.307127\pi$
$158$	0.831628	−	15.5925i	0.0661608	−	1.24047i
$159$	3.92622	+	6.80041i	0.311369	+	0.539307i
$160$	−4.01846	+	3.98146i	−0.317687	+	0.314762i
$161$	0.0463429	+	1.19998i	0.00365233	+	0.0945719i
$162$	−1.46655	−	2.88485i	−0.115223	−	0.226655i
$163$	12.5462	+	21.7307i	0.982696	+	1.70208i	0.651760	+	0.758426i	$0.274031\pi$
$163$	12.5462	+	21.7307i	0.982696	+	1.70208i	0.330936	+	0.943653i	$0.392636\pi$
$164$	22.4374	−	9.94006i	1.75206	−	0.776189i
$165$	−0.974138	−	0.562419i	−0.0758365	−	0.0437842i
$166$	−10.0652	−	6.54964i	−0.781209	−	0.508351i
$167$	6.43113			0.497656			0.248828	−	0.968548i	$-0.419955\pi$
$167$	6.43113			0.497656			0.248828	+	0.968548i	$0.419955\pi$
$168$	6.23739	−	2.65438i	0.481225	−	0.204790i
$169$	5.60611			0.431239
$170$	−2.04403	−	1.33010i	−0.156770	−	0.102014i
$171$	−4.63789	−	2.67768i	−0.354668	−	0.204768i
$172$	−1.40839	−	3.17912i	−0.107389	−	0.242405i
$173$	−1.08576	−	1.88059i	−0.0825486	−	0.142978i	0.821795	−	0.569783i	$-0.192973\pi$
$173$	−1.08576	−	1.88059i	−0.0825486	−	0.142978i	−0.904344	+	0.426804i	$0.859639\pi$
$174$	−4.46831	−	8.78965i	−0.338742	−	0.666342i
$175$	1.41031	+	2.23853i	0.106610	+	0.169217i
$176$	1.51741	+	4.72958i	0.114379	+	0.356505i
$177$	−2.52932	−	4.38091i	−0.190115	−	0.329289i
$178$	0.601345	−	11.2748i	0.0450727	−	0.845083i
$179$	−11.3858	+	19.7209i	−0.851018	+	1.47401i	0.0292733	+	0.999571i	$0.490681\pi$
$179$	−11.3858	+	19.7209i	−0.851018	+	1.47401i	−0.880291	+	0.474434i	$0.842653\pi$
$180$	4.33417	+	0.463648i	0.323050	+	0.0345583i
$181$	−20.2848			−1.50776			−0.753879	−	0.657013i	$-0.771820\pi$
$181$	−20.2848			−1.50776			−0.753879	+	0.657013i	$0.771820\pi$
$182$	7.86367	+	14.0943i	0.582894	+	1.04474i
$183$			0.838686i			0.0619975i
$184$	−1.19979	+	0.456742i	−0.0884500	+	0.0336715i
$185$	−4.24881	−	2.45305i	−0.312379	−	0.180352i
$186$	−0.0182094	+	0.341414i	−0.00133518	+	0.0250337i
$187$	−1.85443	+	1.07066i	−0.135609	+	0.0782941i
$188$	−12.6735	+	17.3759i	−0.924312	+	1.26727i
$189$	−10.9817	−	5.78714i	−0.798801	−	0.420952i
$190$	3.09772	−	1.57476i	0.224733	−	0.114245i
$191$	−1.45879	+	0.842233i	−0.105554	+	0.0609419i	−0.551848	−	0.833945i	$-0.686077\pi$
$191$	−1.45879	+	0.842233i	−0.105554	+	0.0609419i	0.446293	+	0.894887i	$0.352744\pi$
$192$	4.81905	+	5.41220i	0.347785	+	0.390592i
$193$	12.3298	−	21.3558i	0.887517	−	1.53722i	0.0447160	−	0.999000i	$-0.485762\pi$
$193$	12.3298	−	21.3558i	0.887517	−	1.53722i	0.842801	−	0.538225i	$-0.180905\pi$
$194$	−4.65682	−	3.03030i	−0.334340	−	0.217563i
$195$		−	3.90733i		−	0.279810i
$196$	−7.35301	+	11.9136i	−0.525215	+	0.850970i
$197$		−	1.66437i		−	0.118582i	−0.998241	−	0.0592908i	$-0.981116\pi$
$197$		−	1.66437i		−	0.118582i	0.998241	−	0.0592908i	$-0.0188839\pi$
$198$	2.08750	−	3.20796i	0.148352	−	0.227980i
$199$	−6.39700	+	11.0799i	−0.453471	+	0.785435i	−0.998599	−	0.0529181i	$-0.983148\pi$
$199$	−6.39700	+	11.0799i	−0.453471	+	0.785435i	0.545128	+	0.838353i	$0.316481\pi$
$200$	−1.78608	+	2.19315i	−0.126295	+	0.155079i
$201$	0.731087	−	0.422093i	0.0515669	−	0.0297721i
$202$	−6.19012	−	12.1766i	−0.435535	−	0.856745i
$203$	18.0157	+	9.49394i	1.26446	+	0.666344i
$204$	−1.84097	+	2.52405i	−0.128894	+	0.176719i
$205$	10.6264	−	6.13515i	0.742179	−	0.428497i
$206$	10.8164	+	0.576897i	0.753616	+	0.0401943i
$207$	0.856697	+	0.494614i	0.0595446	+	0.0343781i
$208$	−11.5925	+	12.7794i	−0.803794	+	0.886089i
$209$		−	3.05126i		−	0.211060i
$210$	2.95983	−	1.65139i	0.204248	−	0.113957i
$211$	−16.8109			−1.15731			−0.578655	−	0.815573i	$-0.696422\pi$
$211$	−16.8109			−1.15731			−0.578655	+	0.815573i	$0.696422\pi$
$212$	1.84414	−	17.2390i	0.126656	−	1.18398i
$213$	3.78665	−	6.55868i	0.259457	−	0.449393i
$214$	−23.8594	−	1.27255i	−1.63100	−	0.0869897i
$215$	−0.869279	−	1.50564i	−0.0592844	−	0.102684i
$216$	2.11230	−	13.1011i	0.143723	−	0.891418i
$217$	−0.376397	−	0.597439i	−0.0255515	−	0.0405568i
$218$	−11.5498	+	5.87145i	−0.782249	+	0.397665i
$219$	−3.25284	−	5.63408i	−0.219806	−	0.380716i
$220$	1.00594	+	2.27067i	0.0678204	+	0.153089i
$221$	−6.44171	−	3.71912i	−0.433316	−	0.250175i
$222$	−3.42792	+	5.26787i	−0.230067	+	0.353556i
$223$	23.8692			1.59840			0.799200	−	0.601065i	$-0.205257\pi$
$223$	23.8692			1.59840			0.799200	+	0.601065i	$0.205257\pi$
$224$	−14.5799	−	3.38033i	−0.974160	−	0.225858i
$225$	2.17945			0.145297
$226$	−15.7388	+	24.1867i	−1.04693	+	1.60887i
$227$	−6.71810	−	3.87870i	−0.445896	−	0.257438i	0.260199	−	0.965555i	$-0.416212\pi$
$227$	−6.71810	−	3.87870i	−0.445896	−	0.257438i	−0.706095	+	0.708117i	$0.749545\pi$
$228$	−1.80314	−	4.07016i	−0.119416	−	0.269553i
$229$	−2.45190	−	4.24681i	−0.162026	−	0.280637i	0.773569	−	0.633712i	$-0.218470\pi$
$229$	−2.45190	−	4.24681i	−0.162026	−	0.280637i	−0.935595	+	0.353075i	$0.885136\pi$
$230$	−0.572203	+	0.290885i	−0.0377299	+	0.0191804i
$231$	−0.114848	−	2.97382i	−0.00755645	−	0.195663i
$232$	−3.46527	+	21.4927i	−0.227506	+	1.41107i
$233$	−8.58535	−	14.8703i	−0.562445	−	0.974183i	−0.997282	−	0.0736741i	$-0.976528\pi$
$233$	−8.58535	−	14.8703i	−0.562445	−	0.974183i	0.434838	−	0.900509i	$-0.356806\pi$
$234$	13.2762	+	0.708089i	0.867891	+	0.0462892i
$235$	−5.37669	+	9.31270i	−0.350737	+	0.607494i
$236$	−1.18802	+	11.1056i	−0.0773332	+	0.722910i
$237$	−10.0016			−0.649673
$238$	0.0947426	−	6.45149i	0.00614125	−	0.418188i
$239$		−	22.5691i		−	1.45987i	−0.683516	−	0.729935i	$-0.739550\pi$
$239$		−	22.5691i		−	1.45987i	0.683516	−	0.729935i	$-0.260450\pi$
$240$	2.68370	+	2.43445i	0.173232	+	0.157143i
$241$	−2.49414	−	1.43999i	−0.160662	−	0.0927580i	0.417514	−	0.908671i	$-0.362902\pi$
$241$	−2.49414	−	1.43999i	−0.160662	−	0.0927580i	−0.578175	+	0.815913i	$0.696235\pi$
$242$	−13.3567	−	0.712383i	−0.858601	−	0.0457937i
$243$	−13.9847	+	8.07409i	−0.897121	+	0.517953i
$244$	1.09119	−	1.49606i	0.0698561	−	0.0957756i
$245$	−3.02203	+	6.31406i	−0.193071	+	0.403390i
$246$	−7.12328	−	14.0122i	−0.454163	−	0.893388i
$247$	9.17911	−	5.29956i	0.584053	−	0.337203i
$248$	0.476685	−	0.585328i	0.0302695	−	0.0371684i
$249$	−3.84590	+	6.66130i	−0.243724	+	0.422143i
$250$	−0.771333	+	1.18535i	−0.0487834	+	0.0749679i
$251$		−	12.3739i		−	0.781034i	−0.920596	−	0.390517i	$-0.872296\pi$
$251$		−	12.3739i		−	0.781034i	0.920596	−	0.390517i	$-0.127704\pi$
$252$	5.07465	+	10.3561i	0.319673	+	0.652371i
$253$			0.563621i			0.0354345i
$254$	−6.14339	−	3.99765i	−0.385470	−	0.250835i
$255$	−0.781025	+	1.35278i	−0.0489097	+	0.0847141i
$256$	−1.55467	−	15.9243i	−0.0971667	−	0.995268i
$257$	4.89750	−	2.82758i	0.305498	−	0.176379i	−0.339412	−	0.940638i	$-0.610228\pi$
$257$	4.89750	−	2.82758i	0.305498	−	0.176379i	0.644910	+	0.764258i	$0.276895\pi$
$258$	−1.98537	+	1.00929i	−0.123604	+	0.0628354i
$259$	−0.500923	−	12.9707i	−0.0311259	−	0.805959i
$260$	−5.08370	+	6.96996i	−0.315278	+	0.432259i
$261$	14.5277	−	8.38756i	0.899241	−	0.519177i
$262$	−1.02238	+	19.1688i	−0.0631626	+	1.18425i
$263$	−8.62649	−	4.98051i	−0.531932	−	0.307111i	0.209871	−	0.977729i	$-0.432696\pi$
$263$	−8.62649	−	4.98051i	−0.531932	−	0.307111i	−0.741803	+	0.670618i	$0.766029\pi$
$264$	2.97336	−	1.13191i	0.182998	−	0.0696642i
$265$		−	8.66866i		−	0.532511i
$266$	7.89391	+	4.71344i	0.484007	+	0.289000i
$267$	−7.23208			−0.442596
$268$	−1.85330	−	0.198256i	−0.113208	−	0.0121104i
$269$	9.77791	−	16.9358i	0.596170	−	1.03260i	−0.397211	−	0.917727i	$-0.630022\pi$
$269$	9.77791	−	16.9358i	0.596170	−	1.03260i	0.993381	−	0.114869i	$-0.0366449\pi$
$270$	0.353386	−	6.62574i	0.0215064	−	0.403230i
$271$	16.1219	+	27.9240i	0.979336	+	1.69626i	0.664814	+	0.747009i	$0.268511\pi$
$271$	16.1219	+	27.9240i	0.979336	+	1.69626i	0.314522	+	0.949250i	$0.398156\pi$
$272$	6.56792	−	2.10721i	0.398239	−	0.127769i
$273$	8.74668	−	5.51056i	0.529373	−	0.333514i
$274$	−8.29179	−	16.3108i	−0.500925	−	0.985373i
$275$	0.620880	+	1.07539i	0.0374404	+	0.0648488i
$276$	0.333071	+	0.751829i	0.0200485	+	0.0452548i
$277$	15.3351	+	8.85371i	0.921396	+	0.531968i	0.884080	−	0.467336i	$-0.154786\pi$
$277$	15.3351	+	8.85371i	0.921396	+	0.531968i	0.0373155	+	0.999304i	$0.488119\pi$
$278$	21.1024	+	13.7318i	1.26564	+	0.823580i
$279$	−0.581671			−0.0348237
$280$	−7.42837	−	0.905160i	−0.443930	−	0.0540936i
$281$	−4.02367			−0.240032			−0.120016	−	0.992772i	$-0.538295\pi$
$281$	−4.02367			−0.240032			−0.120016	+	0.992772i	$0.538295\pi$
$282$	11.5463	+	7.51345i	0.687572	+	0.447419i
$283$	−16.4300	−	9.48585i	−0.976661	−	0.563875i	−0.0754004	−	0.997153i	$-0.524023\pi$
$283$	−16.4300	−	9.48585i	−0.976661	−	0.563875i	−0.901260	+	0.433278i	$0.857357\pi$
$284$	−15.2880	+	6.77279i	−0.907175	+	0.401891i
$285$	−1.11292	−	1.92764i	−0.0659238	−	0.114183i
$286$	3.43271	+	6.75251i	0.202981	+	0.399284i
$287$	28.7202	+	15.1350i	1.69530	+	0.893391i
$288$	−8.75803	+	8.67739i	−0.516072	+	0.511320i
$289$	−7.01319	−	12.1472i	−0.412541	−	0.714541i
$290$	−0.579738	+	10.8697i	−0.0340434	+	0.638290i
$291$	−1.77937	+	3.08196i	−0.104309	+	0.180668i
$292$	−1.52785	+	14.2823i	−0.0894107	+	0.835810i
$293$	10.3847			0.606678			0.303339	−	0.952883i	$-0.401899\pi$
$293$	10.3847			0.606678			0.303339	+	0.952883i	$0.401899\pi$
$294$	7.87098	+	4.29669i	0.459045	+	0.250588i
$295$			5.58446i			0.325140i
$296$	12.9686	−	4.93695i	0.753787	−	0.286954i
$297$	−5.04550	−	2.91302i	−0.292770	−	0.169031i
$298$	1.10583	−	20.7335i	0.0640587	−	1.20106i
$299$	−1.69554	+	0.978920i	−0.0980556	+	0.0566124i
$300$	1.46371	+	1.06759i	0.0845074	+	0.0616374i
$301$	2.14446	−	4.06933i	0.123604	−	0.234552i
$302$	−21.6925	+	11.0276i	−1.24826	+	0.634569i
$303$	−7.57722	+	4.37471i	−0.435300	+	0.251320i
$304$	−2.07909	+	9.60643i	−0.119244	+	0.550967i
$305$	0.462932	−	0.801822i	0.0265074	−	0.0459122i
$306$	−4.45487	−	2.89889i	−0.254668	−	0.165718i
$307$		−	21.4468i		−	1.22403i	−0.790846	−	0.612015i	$-0.790359\pi$
$307$		−	21.4468i		−	1.22403i	0.790846	−	0.612015i	$-0.209641\pi$
$308$	−3.66428	+	5.45418i	−0.208792	+	0.310781i
$309$		−	6.93806i		−	0.394692i
$310$	0.205860	−	0.316356i	0.0116921	−	0.0179678i
$311$	3.97738	−	6.88902i	0.225536	−	0.390641i	−0.730944	−	0.682438i	$-0.760920\pi$
$311$	3.97738	−	6.88902i	0.225536	−	0.390641i	0.956480	+	0.291797i	$0.0942532\pi$
$312$	8.56937	+	6.97880i	0.485145	+	0.395097i
$313$	−9.04094	+	5.21979i	−0.511024	+	0.295040i	−0.733255	−	0.679954i	$-0.762000\pi$
$313$	−9.04094	+	5.21979i	−0.511024	+	0.295040i	0.222230	+	0.974994i	$0.428666\pi$
$314$	−6.85913	−	13.4926i	−0.387083	−	0.761433i
$315$	3.07371	+	4.87877i	0.173184	+	0.274887i
$316$	17.8410	+	13.0127i	1.00363	+	0.732024i
$317$	−5.86432	+	3.38576i	−0.329373	+	0.190163i	−0.655563	−	0.755141i	$-0.727568\pi$
$317$	−5.86432	+	3.38576i	−0.329373	+	0.190163i	0.326190	+	0.945304i	$0.394235\pi$
$318$	−11.0893	−	0.591449i	−0.621855	−	0.0331668i
$319$	8.27726	+	4.77888i	0.463438	+	0.267566i
$320$	−1.61984	−	7.83429i	−0.0905519	−	0.437950i
$321$			15.3043i			0.854204i
$322$	−1.45814	−	0.870653i	−0.0812590	−	0.0485196i
$323$	−4.23726			−0.235767
$324$	4.55075	+	0.486816i	0.252819	+	0.0270453i
$325$	−2.15674	+	3.73558i	−0.119634	+	0.207213i
$326$	−35.4357	−	1.88997i	−1.96260	−	0.104676i
$327$	4.14949	+	7.18713i	0.229468	+	0.397449i
$328$	−5.52425	+	34.2631i	−0.305026	+	1.89187i
$329$	−28.4296	+	1.09794i	−1.56737	+	0.0605315i
$330$	1.41805	−	0.720879i	0.0780608	−	0.0396831i
$331$	5.59806	+	9.69613i	0.307697	+	0.532947i	0.977858	−	0.209268i	$-0.0671083\pi$
$331$	5.59806	+	9.69613i	0.307697	+	0.532947i	−0.670161	+	0.742216i	$0.733775\pi$
$332$	15.5272	−	6.87876i	0.852165	−	0.377521i
$333$	−9.26008	−	5.34631i	−0.507449	−	0.292976i
$334$	−4.96054	+	7.62312i	−0.271429	+	0.417119i
$335$	−0.931935			−0.0509171
$336$	−1.66474	+	9.44088i	−0.0908189	+	0.515042i
$337$	24.4910			1.33411			0.667055	−	0.745008i	$-0.267554\pi$
$337$	24.4910			1.33411			0.667055	+	0.745008i	$0.267554\pi$
$338$	−4.32417	+	6.64518i	−0.235204	+	0.361450i
$339$	16.0071	+	9.24173i	0.869389	+	0.501942i
$340$	3.15326	−	1.39694i	0.171010	−	0.0757596i
$341$	−0.165706	−	0.287011i	−0.00897347	−	0.0155425i
$342$	6.75134	−	3.43212i	0.365070	−	0.185588i
$343$	−18.3962	+	2.13988i	−0.993303	+	0.115543i
$344$	4.85469	+	0.782723i	0.261748	+	0.0422016i
$345$	0.205576	+	0.356068i	0.0110678	+	0.0191700i
$346$	3.06663	+	0.163559i	0.164863	+	0.00879301i
$347$	8.21166	−	14.2230i	0.440825	−	0.763531i	−0.556926	−	0.830562i	$-0.688019\pi$
$347$	8.21166	−	14.2230i	0.440825	−	0.763531i	0.997751	+	0.0670312i	$0.0213527\pi$
$348$	13.8653	+	1.48324i	0.743260	+	0.0795102i
$349$	−0.191603			−0.0102563			−0.00512813	−	0.999987i	$-0.501632\pi$
$349$	−0.191603			−0.0102563			−0.00512813	+	0.999987i	$0.501632\pi$
$350$	−3.74125	−	0.0549418i	−0.199978	−	0.00293676i
$351$		−	20.2378i		−	1.08022i
$352$	−6.77662	−	1.84942i	−0.361195	−	0.0985745i
$353$	−19.3579	−	11.1763i	−1.03032	−	0.594854i	−0.113241	−	0.993568i	$-0.536123\pi$
$353$	−19.3579	−	11.1763i	−1.03032	−	0.594854i	−0.917075	+	0.398714i	$0.869457\pi$
$354$	7.14384	+	0.381019i	0.379691	+	0.0202509i
$355$	−7.24042	+	4.18026i	−0.384282	+	0.221865i
$356$	12.9007	+	9.40943i	0.683737	+	0.498699i
$357$	−4.12972	+	0.159488i	−0.218568	+	0.00844102i
$358$	−14.5938	−	28.7075i	−0.771305	−	1.51724i
$359$	20.4748	−	11.8211i	1.08062	−	0.623896i	0.149556	−	0.988753i	$-0.452216\pi$
$359$	20.4748	−	11.8211i	1.08062	−	0.623896i	0.931064	+	0.364857i	$0.118882\pi$
$360$	−3.89267	+	4.77987i	−0.205162	+	0.251921i
$361$	−6.48106	+	11.2255i	−0.341108	+	0.590817i
$362$	15.6463	−	24.0445i	0.822353	−	1.26375i
$363$			8.56748i			0.449676i
$364$	−22.7721	−	1.55019i	−1.19358	−	0.0812519i
$365$			7.18191i			0.375918i
$366$	−0.994134	−	0.646906i	−0.0519642	−	0.0338143i
$367$	−9.00124	+	15.5906i	−0.469861	+	0.813823i	−0.999406	−	0.0344586i	$-0.989029\pi$
$367$	−9.00124	+	15.5906i	−0.469861	+	0.813823i	0.529545	+	0.848282i	$0.322363\pi$
$368$	0.384043	−	1.77447i	0.0200196	−	0.0925008i
$369$	23.1597	−	13.3712i	1.20564	−	0.696079i
$370$	6.18497	−	3.14420i	0.321541	−	0.163459i
$371$	19.4051	−	12.2255i	1.00746	−	0.634717i
$372$	−0.390648	−	0.284928i	−0.0202542	−	0.0147728i
$373$	21.5700	−	12.4535i	1.11685	−	0.644815i	0.176257	−	0.984344i	$-0.443601\pi$
$373$	21.5700	−	12.4535i	1.11685	−	0.644815i	0.940596	+	0.339529i	$0.110268\pi$
$374$	0.161285	−	3.02398i	0.00833983	−	0.156366i
$375$	0.784482	+	0.452921i	0.0405105	+	0.0233887i
$376$	−10.8210	−	28.4251i	−0.558050	−	1.46591i
$377$			33.2006i			1.70992i
$378$	15.3303	−	8.55330i	0.788505	−	0.439934i
$379$	3.91557			0.201130			0.100565	−	0.994931i	$-0.467935\pi$
$379$	3.91557			0.201130			0.100565	+	0.994931i	$0.467935\pi$
$380$	−0.522737	+	4.88654i	−0.0268159	+	0.250674i
$381$	−2.34739	+	4.06580i	−0.120260	+	0.208297i
$382$	0.126875	−	2.37881i	0.00649148	−	0.121711i
$383$	−8.27193	−	14.3274i	−0.422676	−	0.732096i	0.573524	−	0.819189i	$-0.305576\pi$
$383$	−8.27193	−	14.3274i	−0.422676	−	0.732096i	−0.996200	+	0.0870922i	$0.972243\pi$
$384$	−10.1324	+	1.53764i	−0.517068	+	0.0784672i
$385$	−1.53167	+	2.90650i	−0.0780611	+	0.148129i
$386$	15.8037	+	31.0875i	0.804386	+	1.58231i
$387$	−1.89455	−	3.28146i	−0.0963055	−	0.166806i
$388$	7.18392	−	3.18258i	0.364708	−	0.161571i
$389$	−17.8537	−	10.3078i	−0.905219	−	0.522628i	−0.0263290	−	0.999653i	$-0.508382\pi$
$389$	−17.8537	−	10.3078i	−0.905219	−	0.522628i	−0.878890	+	0.477025i	$0.841715\pi$
$390$	4.63154	+	3.01385i	0.234527	+	0.152612i
$391$	0.782695			0.0395826
$392$	−8.45010	−	17.9052i	−0.426795	−	0.904349i
$393$	12.2956			0.620231
$394$	1.97286	+	1.28379i	0.0993912	+	0.0646762i
$395$	9.56196	+	5.52060i	0.481114	+	0.277772i
$396$	2.19239	+	4.94882i	0.110172	+	0.248687i
$397$	9.45979	+	16.3848i	0.474773	+	0.822332i	0.999583	−	0.0288882i	$-0.00919669\pi$
$397$	9.45979	+	16.3848i	0.474773	+	0.822332i	−0.524809	+	0.851220i	$0.675863\pi$
$398$	−8.19933	−	16.1290i	−0.410995	−	0.808472i
$399$	2.74551	−	5.20988i	0.137447	−	0.260820i
$400$	−1.22198	−	3.80877i	−0.0610992	−	0.190439i
$401$	−1.73670	−	3.00804i	−0.0867264	−	0.150215i	0.819399	−	0.573223i	$-0.194307\pi$
$401$	−1.73670	−	3.00804i	−0.0867264	−	0.150215i	−0.906126	+	0.423009i	$0.860974\pi$
$402$	−0.0635845	+	1.19216i	−0.00317131	+	0.0594598i
$403$	0.575610	−	0.996985i	0.0286732	−	0.0496634i
$404$	19.2082	+	2.05479i	0.955642	+	0.102230i
$405$	2.28836			0.113709
$406$	−25.1497	+	14.0319i	−1.24816	+	0.696391i
$407$		−	6.09221i		−	0.301979i
$408$	−1.57187	−	4.12907i	−0.0778192	−	0.204420i
$409$	20.4501	+	11.8069i	1.01119	+	0.583812i	0.911541	−	0.411210i	$-0.134894\pi$
$409$	20.4501	+	11.8069i	1.01119	+	0.583812i	0.0996521	+	0.995022i	$0.468227\pi$
$410$	−0.924204	+	17.3282i	−0.0456432	+	0.855778i
$411$	−10.1498	+	5.86001i	−0.500654	+	0.289053i
$412$	−9.02689	+	12.3762i	−0.444723	+	0.609733i
$413$	−12.5010	+	7.87584i	−0.615133	+	0.387545i
$414$	−1.24709	+	0.633971i	−0.0612910	+	0.0311580i
$415$	7.35371	−	4.24567i	0.360979	−	0.208412i
$416$	−6.20630	−	23.5982i	−0.304289	−	1.15700i
$417$	8.06323	−	13.9659i	0.394858	−	0.683914i
$418$	3.61680	+	2.35354i	0.176904	+	0.115115i
$419$		−	7.29588i		−	0.356427i	−0.983992	−	0.178214i	$-0.942968\pi$
$419$		−	7.29588i		−	0.356427i	0.983992	−	0.178214i	$-0.0570318\pi$
$420$	−0.325543	+	4.78220i	−0.0158849	+	0.233347i
$421$			6.71577i			0.327307i	0.986518	+	0.163653i	$0.0523278\pi$
$421$			6.71577i			0.327307i	−0.986518	+	0.163653i	$0.947672\pi$
$422$	12.9668	−	19.9267i	0.631213	−	0.970018i
$423$	−11.7182	+	20.2966i	−0.569760	+	0.986853i
$424$	19.0117	+	15.4829i	0.923289	+	0.751917i
$425$	1.49339	−	0.862209i	0.0724401	−	0.0418233i
$426$	4.85353	+	9.54742i	0.235154	+	0.462574i
$427$	2.44778	−	0.0945325i	0.118456	−	0.00457475i
$428$	19.9120	−	27.3001i	0.962481	−	1.31960i
$429$	4.20192	−	2.42598i	0.202871	−	0.117127i
$430$	2.45520	+	0.130949i	0.118400	+	0.00631492i
$431$	−29.3361	−	16.9372i	−1.41307	−	0.815837i	−0.417395	−	0.908725i	$-0.637057\pi$
$431$	−29.3361	−	16.9372i	−1.41307	−	0.815837i	−0.995677	+	0.0928881i	$0.970390\pi$
$432$	13.9001	+	12.6091i	0.668768	+	0.606657i
$433$		−	14.8665i		−	0.714440i	−0.934020	−	0.357220i	$-0.883725\pi$
$433$		−	14.8665i		−	0.714440i	0.934020	−	0.357220i	$-0.116275\pi$
$434$	0.998499	+	0.0146633i	0.0479295	+	0.000703863i
$435$	6.97222			0.334292
$436$	1.94901	−	18.2193i	0.0933406	−	0.872547i
$437$	−0.557650	+	0.965879i	−0.0266760	+	0.0462042i
$438$	9.18736	+	0.490010i	0.438989	+	0.0234136i
$439$	−6.22389	−	10.7801i	−0.297050	−	0.514506i	0.678410	−	0.734684i	$-0.262669\pi$
$439$	−6.22389	−	10.7801i	−0.297050	−	0.514506i	−0.975460	+	0.220178i	$0.929336\pi$
$440$	−3.46745	−	0.559057i	−0.165304	−	0.0266520i
$441$	−6.58637	+	13.7612i	−0.313637	+	0.655294i
$442$	9.37715	−	4.76698i	0.446025	−	0.226742i
$443$	−5.16402	−	8.94434i	−0.245350	−	0.424959i	0.716880	−	0.697197i	$-0.245570\pi$
$443$	−5.16402	−	8.94434i	−0.245350	−	0.424959i	−0.962230	+	0.272238i	$0.912236\pi$
$444$	−3.60018	−	8.12656i	−0.170857	−	0.385669i
$445$	6.91420	+	3.99191i	0.327764	+	0.189235i
$446$	−18.4111	+	28.2933i	−0.871791	+	1.33973i
$447$	−13.2992			−0.629031
$448$	15.2528	−	14.6749i	0.720628	−	0.693322i
$449$	18.6590			0.880574			0.440287	−	0.897857i	$-0.354877\pi$
$449$	18.6590			0.880574			0.440287	+	0.897857i	$0.354877\pi$
$450$	−1.68108	+	2.58340i	−0.0792469	+	0.121783i
$451$	13.1954	+	7.61837i	0.621348	+	0.358735i
$452$	−16.5297	−	37.3119i	−0.777492	−	1.75501i
$453$	7.79349	+	13.4987i	0.366170	+	0.634225i
$454$	9.77949	−	4.97151i	0.458974	−	0.233324i
$455$	−11.4039	+	0.440415i	−0.534623	+	0.0206470i
$456$	6.21537	+	1.00211i	0.291061	+	0.0469279i
$457$	5.65988	+	9.80320i	0.264758	+	0.458574i	0.967500	−	0.252870i	$-0.0813746\pi$
$457$	5.65988	+	9.80320i	0.264758	+	0.458574i	−0.702742	+	0.711445i	$0.748041\pi$
$458$	6.92518	+	0.369356i	0.323592	+	0.0172589i
$459$	−4.04528	+	7.00663i	−0.188818	+	0.327042i
$460$	0.0965585	−	0.902628i	0.00450207	−	0.0420852i
$461$	−25.4553			−1.18557			−0.592785	−	0.805360i	$-0.701972\pi$
$461$	−25.4553			−1.18557			−0.592785	+	0.805360i	$0.701972\pi$
$462$	3.61360	+	2.15767i	0.168120	+	0.100384i
$463$			6.76939i			0.314600i	0.987551	+	0.157300i	$0.0502790\pi$
$463$			6.76939i			0.314600i	−0.987551	+	0.157300i	$0.949721\pi$
$464$	−22.8034	−	20.6856i	−1.05862	−	0.960304i
$465$	−0.209370	−	0.120880i	−0.00970928	−	0.00560565i
$466$	24.2486	+	1.29330i	1.12329	+	0.0599112i
$467$	18.0857	−	10.4418i	0.836908	−	0.483189i	−0.0193043	−	0.999814i	$-0.506145\pi$
$467$	18.0857	−	10.4418i	0.836908	−	0.483189i	0.856212	+	0.516625i	$0.172812\pi$
$468$	−11.0797	+	15.1907i	−0.512158	+	0.702190i
$469$	−1.31432	−	2.08617i	−0.0606897	−	0.0963302i
$470$	−6.89156	−	13.5564i	−0.317884	−	0.625312i
$471$	−8.39613	+	4.84751i	−0.386873	+	0.223361i
$472$	−12.2476	−	9.97429i	−0.563740	−	0.459104i
$473$	1.07944	−	1.86964i	0.0496325	−	0.0859660i
$474$	7.71455	−	11.8553i	0.354341	−	0.544534i
$475$			2.45721i			0.112745i
$476$	7.57417	+	5.08855i	0.347162	+	0.233233i
$477$		−	18.8929i		−	0.865047i
$478$	26.7521	+	17.4082i	1.22361	+	0.796235i
$479$	1.45807	−	2.52546i	0.0666211	−	0.115391i	−0.830791	−	0.556585i	$-0.812111\pi$
$479$	1.45807	−	2.52546i	0.0666211	−	0.115391i	0.897412	+	0.441194i	$0.145445\pi$
$480$	−4.95569	+	1.30334i	−0.226195	+	0.0594891i
$481$	18.3272	−	10.5812i	0.835647	−	0.482461i
$482$	3.63070	−	1.84571i	0.165374	−	0.0840696i
$483$	−0.507142	+	0.962355i	−0.0230758	+	0.0437887i
$484$	11.1469	−	15.2828i	0.506676	−	0.694674i
$485$	3.40232	−	1.96433i	0.154491	−	0.0891956i
$486$	1.21629	−	22.8046i	0.0551720	−	1.03444i
$487$	−10.0582	−	5.80712i	−0.455782	−	0.263146i	0.254487	−	0.967076i	$-0.418093\pi$
$487$	−10.0582	−	5.80712i	−0.455782	−	0.263146i	−0.710269	+	0.703930i	$0.751427\pi$
$488$	0.931684	+	2.44740i	0.0421754	+	0.110788i
$489$			22.7298i			1.02788i
$490$	−5.15335	−	8.45239i	−0.232805	−	0.381840i
$491$	−2.26191			−0.102079			−0.0510393	−	0.998697i	$-0.516253\pi$
$491$	−2.26191			−0.102079			−0.0510393	+	0.998697i	$0.516253\pi$
$492$	22.1038	+	2.36455i	0.996515	+	0.106602i
$493$	6.63639	−	11.4946i	0.298888	−	0.517689i
$494$	−0.798331	+	14.9682i	−0.0359186	+	0.673449i
$495$	1.35318	+	2.34377i	0.0608207	+	0.105345i
$496$	0.326134	+	1.01652i	0.0146439	+	0.0456431i
$497$	−19.5689	−	10.3124i	−0.877785	−	0.462575i
$498$	−4.92948	−	9.69680i	−0.220895	−	0.434524i
$499$	11.8706	+	20.5606i	0.531403	+	0.920417i	0.999328	+	0.0366488i	$0.0116683\pi$
$499$	11.8706	+	20.5606i	0.531403	+	0.920417i	−0.467925	+	0.883768i	$0.654998\pi$
$500$	−0.810092	−	1.82859i	−0.0362284	−	0.0817771i
$501$	5.04511	+	2.91280i	0.225399	+	0.130134i
$502$	14.6674	+	9.54439i	0.654636	+	0.425987i
$503$	−11.0460			−0.492515			−0.246258	−	0.969204i	$-0.579201\pi$
$503$	−11.0460			−0.492515			−0.246258	+	0.969204i	$0.579201\pi$
$504$	−16.1898	−	1.97275i	−0.721149	−	0.0878733i
$505$	9.65888			0.429814
$506$	−0.668086	−	0.434739i	−0.0297000	−	0.0193265i
$507$	4.39789	+	2.53912i	0.195317	+	0.112766i
$508$	9.47719	−	4.19853i	0.420482	−	0.186280i
$509$	20.3574	+	35.2600i	0.902325	+	1.56287i	0.824469	+	0.565908i	$0.191474\pi$
$509$	20.3574	+	35.2600i	0.902325	+	1.56287i	0.0778561	+	0.996965i	$0.475193\pi$
$510$	−1.00108	−	1.96923i	−0.0443285	−	0.0871988i
$511$	−16.0769	+	10.1287i	−0.711201	+	0.448069i
$512$	20.0750	+	10.4401i	0.887196	+	0.461392i
$513$	−5.76433	−	9.98410i	−0.254501	−	0.440809i
$514$	−0.425949	+	7.98624i	−0.0187878	+	0.352258i
$515$	−3.82962	+	6.63310i	−0.168753	+	0.292289i
$516$	0.335029	−	3.13185i	0.0147488	−	0.137872i
$517$	−13.3531			−0.587269
$518$	15.7611	+	9.41094i	0.692504	+	0.413493i
$519$		−	1.96705i		−	0.0863438i
$520$	−4.34060	−	11.4021i	−0.190348	−	0.500016i
$521$	−27.7740	−	16.0353i	−1.21680	−	0.702519i	−0.252567	−	0.967579i	$-0.581275\pi$
$521$	−27.7740	−	16.0353i	−1.21680	−	0.702519i	−0.964232	+	0.265060i	$0.914608\pi$
$522$	−1.26351	+	23.6899i	−0.0553023	+	1.03688i
$523$	−18.8270	+	10.8698i	−0.823246	+	0.475301i	−0.851534	−	0.524299i	$-0.824328\pi$
$523$	−18.8270	+	10.8698i	−0.823246	+	0.475301i	0.0282888	+	0.999600i	$0.490994\pi$
$524$	−21.9331	−	15.9974i	−0.958153	−	0.698850i
$525$	0.0924882	+	2.39485i	0.00403652	+	0.104520i
$526$	12.5575	−	6.38375i	0.547534	−	0.278345i
$527$	−0.398569	+	0.230114i	−0.0173619	+	0.0100239i
$528$	−0.951744	+	4.39754i	−0.0414193	+	0.191378i
$529$	−11.3970	+	19.7402i	−0.495521	+	0.858268i
$530$	10.2754	+	6.68642i	0.446333	+	0.290439i
$531$			12.1711i			0.528179i
$532$	−11.6759	+	5.72139i	−0.506214	+	0.248054i
$533$			52.9276i			2.29255i
$534$	5.57834	−	8.57252i	0.241398	−	0.370969i
$535$	8.44757	−	14.6316i	0.365220	−	0.632580i
$536$	1.66451	−	2.04388i	0.0718959	−	0.0882820i
$537$	−17.8640	+	10.3138i	−0.770887	+	0.445072i
$538$	12.5328	+	24.6534i	0.540328	+	1.06288i
$539$	−8.66642	+	0.670389i	−0.373289	+	0.0288757i
$540$	7.58122	+	5.52953i	0.326244	+	0.237953i
$541$	10.7162	−	6.18701i	0.460726	−	0.266000i	−0.251624	−	0.967825i	$-0.580964\pi$
$541$	10.7162	−	6.18701i	0.460726	−	0.266000i	0.712349	+	0.701825i	$0.247631\pi$
$542$	−45.5349	−	2.42862i	−1.95589	−	0.104318i
$543$	−15.9131	−	9.18742i	−0.682895	−	0.394270i
$544$	−2.56827	+	9.41062i	−0.110114	+	0.403477i
$545$		−	9.16163i		−	0.392441i
$546$	−0.214676	+	14.6183i	−0.00918727	+	0.625606i
$547$	−31.3301			−1.33958			−0.669790	−	0.742551i	$-0.733616\pi$
$547$	−31.3301			−1.33958			−0.669790	+	0.742551i	$0.733616\pi$
$548$	25.7297	+	2.75243i	1.09912	+	0.117578i
$549$	1.00894	−	1.74753i	0.0430604	−	0.0745828i
$550$	−1.75362	−	0.0935299i	−0.0747746	−	0.00398813i
$551$	9.45652	+	16.3792i	0.402861	+	0.697776i
$552$	−1.14809	−	0.185106i	−0.0488658	−	0.00787864i
$553$	1.12733	+	29.1905i	0.0479389	+	1.24131i
$554$	−22.3232	+	11.3482i	−0.948420	+	0.482140i
$555$	−2.22208	−	3.84875i	−0.0943220	−	0.163371i
$556$	−32.5539	+	14.4219i	−1.38059	+	0.611623i
$557$	10.6869	+	6.17008i	0.452818	+	0.261434i	0.709020	−	0.705189i	$-0.249138\pi$
$557$	10.6869	+	6.17008i	0.452818	+	0.261434i	−0.256202	+	0.966623i	$0.582471\pi$
$558$	0.448662	−	0.689482i	0.0189934	−	0.0291881i
$559$	7.49924			0.317184
$560$	6.80267	−	8.10701i	0.287465	−	0.342584i
$561$	−1.93969			−0.0818938
$562$	3.10359	−	4.76944i	0.130917	−	0.201187i
$563$	−1.58551	−	0.915395i	−0.0668213	−	0.0385793i	0.466217	−	0.884670i	$-0.345617\pi$
$563$	−1.58551	−	0.915395i	−0.0668213	−	0.0385793i	−0.533038	+	0.846091i	$0.678950\pi$
$564$	−17.8121	+	7.89100i	−0.750024	+	0.332271i
$565$	−10.2024	−	17.6710i	−0.429217	−	0.743425i
$566$	23.9170	−	12.1585i	1.00531	−	0.511058i
$567$	3.22730	+	5.12255i	0.135534	+	0.215127i
$568$	3.76402	−	23.3456i	0.157935	−	0.979561i
$569$	−0.0498347	−	0.0863162i	−0.00208918	−	0.00361856i	0.864979	−	0.501808i	$-0.167332\pi$
$569$	−0.0498347	−	0.0863162i	−0.00208918	−	0.00361856i	−0.867068	+	0.498190i	$0.833998\pi$
$570$	3.14335	+	0.167652i	0.131661	+	0.00702215i
$571$	12.9796	−	22.4813i	0.543178	−	0.940812i	−0.455541	−	0.890215i	$-0.650554\pi$
$571$	12.9796	−	22.4813i	0.543178	−	0.940812i	0.998719	−	0.0505976i	$-0.0161126\pi$
$572$	−10.6518	−	1.13948i	−0.445375	−	0.0476440i
$573$	−1.52586			−0.0637437
$574$	−40.0931	+	22.3693i	−1.67345	+	0.933677i
$575$		−	0.453889i		−	0.0189285i
$576$	−3.53036	−	17.0744i	−0.147098	−	0.711435i
$577$	1.28600	+	0.742473i	0.0535369	+	0.0309096i	0.526530	−	0.850157i	$-0.323493\pi$
$577$	1.28600	+	0.742473i	0.0535369	+	0.0309096i	−0.472993	+	0.881066i	$0.656826\pi$
$578$	19.8081	+	1.05647i	0.823910	+	0.0439435i
$579$	19.3450	−	11.1688i	0.803950	−	0.464161i
$580$	−12.4372	−	9.07133i	−0.516425	−	0.376667i
$581$	19.8751	+	10.4738i	0.824557	+	0.434526i
$582$	−2.28071	−	4.48639i	−0.0945383	−	0.185967i
$583$	9.32223	−	5.38219i	0.386087	−	0.222908i
$584$	−15.7510	−	12.8275i	−0.651782	−	0.530804i
$585$	−4.70051	+	8.14152i	−0.194342	+	0.336610i
$586$	−8.01002	+	12.3094i	−0.330891	+	0.508497i
$587$			31.1081i			1.28397i	0.766717	+	0.641985i	$0.221889\pi$
$587$			31.1081i			1.28397i	−0.766717	+	0.641985i	$0.778111\pi$
$588$	−11.1642	+	6.01566i	−0.460404	+	0.248082i
$589$		−	0.655802i		−	0.0270219i
$590$	−6.61952	−	4.30748i	−0.272521	−	0.177336i
$591$	0.753830	−	1.30567i	0.0310084	−	0.0537081i
$592$	−4.15114	+	19.1804i	−0.170611	+	0.788308i
$593$	−8.02645	+	4.63407i	−0.329607	+	0.190299i	−0.655667	−	0.755051i	$-0.727612\pi$
$593$	−8.02645	+	4.63407i	−0.329607	+	0.190299i	0.326060	+	0.945349i	$0.394279\pi$
$594$	7.34469	−	3.73376i	0.301356	−	0.153198i
$595$	4.03623	+	2.12701i	0.165469	+	0.0871991i
$596$	23.7234	+	17.3032i	0.971747	+	0.708766i
$597$	−10.0367	+	5.79467i	−0.410773	+	0.237160i
$598$	0.147465	−	2.76487i	0.00603031	−	0.113064i
$599$	−3.48534	−	2.01226i	−0.142407	−	0.0822188i	0.427104	−	0.904203i	$-0.359534\pi$
$599$	−3.48534	−	2.01226i	−0.142407	−	0.0822188i	−0.569511	+	0.821984i	$0.692867\pi$
$600$	−2.39447	+	0.911537i	−0.0977539	+	0.0372133i
$601$			23.8545i			0.973047i	0.873667	+	0.486524i	$0.161735\pi$
$601$			23.8545i			0.973047i	−0.873667	+	0.486524i	$0.838265\pi$
$602$	3.16947	+	5.68073i	0.129178	+	0.231529i
$603$	−2.03111			−0.0827131
$604$	3.66059	−	34.2191i	0.148947	−	1.39236i
$605$	4.72902	−	8.19090i	0.192262	−	0.333007i
$606$	0.659010	−	12.3560i	0.0267705	−	0.501928i
$607$	−18.6259	−	32.2611i	−0.756003	−	1.30944i	−0.944874	−	0.327434i	$-0.893816\pi$
$607$	−18.6259	−	32.2611i	−0.756003	−	1.30944i	0.188871	−	0.982002i	$-0.439517\pi$
$608$	−9.78328	−	9.87419i	−0.396764	−	0.400451i
$609$	9.83302	+	15.6075i	0.398454	+	0.632449i
$610$	0.593362	+	1.16721i	0.0240245	+	0.0472588i
$611$	−23.1923	−	40.1702i	−0.938258	−	1.62511i
$612$	6.87237	−	3.04456i	0.277799	−	0.123069i
$613$	−6.65132	−	3.84014i	−0.268644	−	0.155102i	0.359627	−	0.933096i	$-0.382904\pi$
$613$	−6.65132	−	3.84014i	−0.268644	−	0.155102i	−0.628271	+	0.777994i	$0.716237\pi$
$614$	25.4218	+	16.5426i	1.02594	+	0.667604i
$615$	11.1149			0.448198
$616$	−3.63872	−	8.55043i	−0.146608	−	0.344507i
$617$	−27.6806			−1.11438			−0.557189	−	0.830386i	$-0.688120\pi$
$617$	−27.6806			−1.11438			−0.557189	+	0.830386i	$0.688120\pi$
$618$	8.22400	+	5.35155i	0.330818	+	0.215271i
$619$	25.7376	+	14.8596i	1.03448	+	0.597258i	0.918265	−	0.395966i	$-0.129590\pi$
$619$	25.7376	+	14.8596i	1.03448	+	0.597258i	0.116216	+	0.993224i	$0.462923\pi$
$620$	0.216205	+	0.488031i	0.00868298	+	0.0195998i
$621$	1.06477	+	1.84424i	0.0427277	+	0.0740066i
$622$	5.09799	+	10.0283i	0.204411	+	0.402098i
$623$	0.815164	+	21.1075i	0.0326589	+	0.845653i
$624$	−14.8821	+	4.77470i	−0.595762	+	0.191141i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	0.786314	−	14.7428i	0.0314274	−	0.589242i
$627$	1.38198	−	2.39366i	0.0551910	−	0.0955936i
$628$	21.2841	+	2.27687i	0.849328	+	0.0908568i
$629$	−8.46019			−0.337330
$630$	−8.15388	−	0.119743i	−0.324858	−	0.00477067i
$631$		−	1.25766i		−	0.0500665i	−0.999687	−	0.0250332i	$-0.992031\pi$
$631$		−	1.25766i		−	0.0500665i	0.999687	−	0.0250332i	$-0.00796916\pi$
$632$	−29.1859	+	11.1106i	−1.16095	+	0.441956i
$633$	−13.1878	−	7.61400i	−0.524170	−	0.302629i
$634$	0.510035	−	9.56280i	0.0202561	−	0.379787i
$635$	4.48842	−	2.59139i	0.178117	−	0.102836i
$636$	9.25458	−	12.6884i	0.366968	−	0.503128i
$637$	−17.0689	−	24.9068i	−0.676296	−	0.986845i
$638$	−12.0492	+	6.12532i	−0.477031	+	0.242504i
$639$	−15.7801	+	9.11067i	−0.624253	+	0.360412i
$640$	10.5358	+	4.12277i	0.416463	+	0.162967i
$641$	24.7738	−	42.9096i	0.978508	−	1.69483i	0.310672	−	0.950517i	$-0.399446\pi$
$641$	24.7738	−	42.9096i	0.978508	−	1.69483i	0.667836	−	0.744309i	$-0.267221\pi$
$642$	−18.1409	−	11.8047i	−0.715965	−	0.465895i
$643$		−	44.6117i		−	1.75931i	−0.475608	−	0.879657i	$-0.657772\pi$
$643$		−	44.6117i		−	1.75931i	0.475608	−	0.879657i	$-0.342228\pi$
$644$	2.15674	−	1.05684i	0.0849874	−	0.0416453i
$645$		−	1.57486i		−	0.0620100i
$646$	3.26834	−	5.02262i	0.128591	−	0.197612i
$647$	16.9430	−	29.3462i	0.666098	−	1.15372i	−0.312888	−	0.949790i	$-0.601296\pi$
$647$	16.9430	−	29.3462i	0.666098	−	1.15372i	0.978986	−	0.203926i	$-0.0653703\pi$
$648$	−4.08718	+	5.01871i	−0.160560	+	0.197154i
$649$	−6.00550	+	3.46728i	−0.235736	+	0.136103i
$650$	−2.76440	−	5.43786i	−0.108429	−	0.213290i
$651$	−0.0246841	−	0.639158i	−0.000967445	−	0.0250506i
$652$	29.5730	−	40.5458i	1.15817	−	1.58790i
$653$	−31.0838	+	17.9462i	−1.21640	+	0.702291i	−0.964147	−	0.265370i	$-0.914506\pi$
$653$	−31.0838	+	17.9462i	−1.21640	+	0.702291i	−0.252256	+	0.967660i	$0.581173\pi$
$654$	−11.7199	−	0.625084i	−0.458284	−	0.0244427i
$655$	−11.7551	−	6.78684i	−0.459312	−	0.265184i
$656$	−36.3527	−	32.9764i	−1.41933	−	1.28751i
$657$			15.6526i			0.610667i
$658$	20.6272	−	34.5458i	0.804133	−	1.34673i
$659$	−2.82512			−0.110051			−0.0550255	−	0.998485i	$-0.517524\pi$
$659$	−2.82512			−0.110051			−0.0550255	+	0.998485i	$0.517524\pi$
$660$	−0.239293	+	2.23691i	−0.00931449	+	0.0870717i
$661$	−8.31035	+	14.3939i	−0.323235	+	0.559860i	−0.981154	−	0.193230i	$-0.938104\pi$
$661$	−8.31035	+	14.3939i	−0.323235	+	0.559860i	0.657919	+	0.753089i	$0.271437\pi$
$662$	−15.8112	−	0.843297i	−0.614521	−	0.0327757i
$663$	−3.36894	−	5.83517i	−0.130839	−	0.226619i
$664$	−3.82291	+	23.7109i	−0.148358	+	0.920162i
$665$	−5.50054	+	3.46544i	−0.213302	+	0.134384i
$666$	13.4798	−	6.85262i	0.522333	−	0.265534i
$667$	−1.74678	−	3.02551i	−0.0676356	−	0.117148i
$668$	−5.20981	−	11.7599i	−0.201574	−	0.455005i
$669$	18.7250	+	10.8109i	0.723949	+	0.417972i
$670$	0.718832	−	1.10467i	0.0277709	−	0.0426770i
$671$	1.14970			0.0443837
$672$	−9.90664	−	9.25535i	−0.382157	−	0.357033i
$673$	−28.1914			−1.08670			−0.543349	−	0.839507i	$-0.682844\pi$
$673$	−28.1914			−1.08670			−0.543349	+	0.839507i	$0.682844\pi$
$674$	−18.8907	+	29.0303i	−0.727643	+	1.11821i
$675$	4.06319	+	2.34588i	0.156392	+	0.0902930i
$676$	−4.54146	−	10.2513i	−0.174672	−	0.394280i
$677$	12.3523	+	21.3947i	0.474736	+	0.822266i	0.999581	−	0.0289312i	$-0.00921037\pi$
$677$	12.3523	+	21.3947i	0.474736	+	0.822266i	−0.524846	+	0.851197i	$0.675877\pi$
$678$	−23.3015	+	11.8456i	−0.894888	+	0.454926i
$679$	9.19555	+	4.84587i	0.352893	+	0.185968i
$680$	−0.776357	+	4.81521i	−0.0297719	+	0.184655i
$681$	−3.51349	−	6.08554i	−0.134637	−	0.233198i
$682$	0.468022	+	0.0249621i	0.0179215	+	0.000955847i
$683$	1.55667	−	2.69624i	0.0595645	−	0.103169i	−0.834706	−	0.550697i	$-0.814362\pi$
$683$	1.55667	−	2.69624i	0.0595645	−	0.103169i	0.894270	+	0.447528i	$0.147695\pi$
$684$	−1.13928	+	10.6500i	−0.0435615	+	0.407212i
$685$	12.9383			0.494345
$686$	11.6531	−	23.4565i	0.444917	−	0.895572i
$687$		−	4.44207i		−	0.169475i
$688$	−4.67238	+	5.15075i	−0.178133	+	0.196371i
$689$	32.3825	+	18.6960i	1.23367	+	0.712262i
$690$	−0.580631	−	0.0309681i	−0.0221042	−	0.00117894i
$691$	−17.8344	+	10.2967i	−0.678451	+	0.391704i	−0.799271	−	0.600970i	$-0.794781\pi$
$691$	−17.8344	+	10.2967i	−0.678451	+	0.391704i	0.120820	+	0.992674i	$0.461448\pi$
$692$	−2.55926	+	3.50886i	−0.0972886	+	0.133387i
$693$	−3.33820	+	6.33457i	−0.126808	+	0.240631i
$694$	10.5253	+	20.7043i	0.399534	+	0.785925i
$695$	−15.4176	+	8.90137i	−0.584824	+	0.337648i
$696$	−12.4529	+	15.2912i	−0.472028	+	0.579610i
$697$	10.5796	−	18.3243i	0.400729	−	0.694084i
$698$	0.147789	−	0.227116i	0.00559391	−	0.00859646i
$699$		−	15.5539i		−	0.588304i
$700$	2.95088	−	4.39230i	0.111533	−	0.166013i
$701$			3.67022i			0.138622i	0.997595	+	0.0693111i	$0.0220801\pi$
$701$			3.67022i			0.138622i	−0.997595	+	0.0693111i	$0.977920\pi$
$702$	23.9888	+	15.6101i	0.905400	+	0.589165i
$703$	6.02767	−	10.4402i	0.227338	−	0.393761i
$704$	7.41923	−	6.60612i	0.279623	−	0.248978i
$705$	−8.43584	+	4.87043i	−0.317712	+	0.183431i
$706$	28.1791	−	14.3252i	1.06054	−	0.539135i
$707$	13.6220	+	21.6217i	0.512310	+	0.813167i
$708$	−5.96192	+	8.17403i	−0.224063	+	0.307199i
$709$	2.73543	−	1.57930i	0.102731	−	0.0593118i	−0.447754	−	0.894157i	$-0.647776\pi$
$709$	2.73543	−	1.57930i	0.102731	−	0.0593118i	0.550485	+	0.834845i	$0.314443\pi$
$710$	0.629718	−	11.8068i	0.0236329	−	0.443100i
$711$	20.8398	+	12.0319i	0.781554	+	0.451231i
$712$	−21.1042	+	8.03402i	−0.790913	+	0.301088i
$713$			0.121138i			0.00453665i
$714$	2.99634	−	5.01817i	0.112135	−	0.187800i
$715$	−5.35630			−0.200314
$716$	45.2850	+	4.84436i	1.69238	+	0.181042i
$717$	10.2220	−	17.7050i	0.381748	−	0.661206i
$718$	−1.78075	+	33.3878i	−0.0664569	+	1.24602i
$719$	−10.8001	−	18.7063i	−0.402775	−	0.697626i	0.591285	−	0.806463i	$-0.298621\pi$
$719$	−10.8001	−	18.7063i	−0.402775	−	0.697626i	−0.994060	+	0.108837i	$0.965287\pi$
$720$	−2.66326	−	8.30103i	−0.0992537	−	0.309361i
$721$	−20.2493	+	0.782023i	−0.754125	+	0.0291241i
$722$	−8.30708	−	16.3409i	−0.309158	−	0.608146i
$723$	−1.30440	−	2.25929i	−0.0485113	−	0.0840241i
$724$	16.4326	+	37.0927i	0.610711	+	1.37854i
$725$	−6.66576	−	3.84848i	−0.247560	−	0.142929i
$726$	−10.1554	−	6.60838i	−0.376904	−	0.245260i
$727$	−48.4533			−1.79703			−0.898516	−	0.438941i	$-0.855354\pi$
$727$	−48.4533			−1.79703			−0.898516	+	0.438941i	$0.855354\pi$
$728$	19.4024	−	25.7971i	0.719099	−	0.956104i
$729$	−7.76263			−0.287505
$730$	−8.51305	−	5.53964i	−0.315082	−	0.205031i
$731$	−2.59635	−	1.49900i	−0.0960294	−	0.0554426i
$732$	1.53362	−	0.679413i	0.0566841	−	0.0251118i
$733$	−7.62984	−	13.2153i	−0.281814	−	0.488117i	0.690017	−	0.723793i	$-0.257603\pi$
$733$	−7.62984	−	13.2153i	−0.281814	−	0.488117i	−0.971832	+	0.235676i	$0.924270\pi$
$734$	−11.5373	−	22.6951i	−0.425850	−	0.837693i
$735$	−5.23050	+	3.58452i	−0.192930	+	0.132217i
$736$	1.80714	+	1.82393i	0.0666121	+	0.0672310i
$737$	−0.578619	−	1.00220i	−0.0213137	−	0.0369165i
$738$	−2.01426	+	37.7659i	−0.0741458	+	1.39018i
$739$	3.14394	−	5.44547i	0.115652	−	0.200315i	−0.802388	−	0.596802i	$-0.796438\pi$
$739$	3.14394	−	5.44547i	0.115652	−	0.200315i	0.918040	+	0.396488i	$0.129771\pi$
$740$	−1.04371	+	9.75655i	−0.0383674	+	0.358658i
$741$	9.60113			0.352706
$742$	−0.476271	+	32.4316i	−0.0174845	+	1.19060i
$743$			32.4205i			1.18939i	0.803950	+	0.594697i	$0.202728\pi$
$743$			32.4205i			1.18939i	−0.803950	+	0.594697i	$0.797272\pi$
$744$	0.639058	−	0.243279i	0.0234290	−	0.00891904i
$745$	12.7146	+	7.34080i	0.465829	+	0.268946i
$746$	−1.87600	+	35.1737i	−0.0686852	+	1.28780i
$747$	16.0270	−	9.25322i	0.586399	−	0.338558i
$748$	3.46005	+	2.52367i	0.126512	+	0.0922745i
$749$	44.6670	−	1.72503i	1.63210	−	0.0630311i
$750$	−1.14196	+	0.580530i	−0.0416987	+	0.0211980i
$751$	−36.4730	+	21.0577i	−1.33092	+	0.768406i	−0.985440	−	0.170022i	$-0.945616\pi$
$751$	−36.4730	+	21.0577i	−1.33092	+	0.768406i	−0.345477	+	0.938427i	$0.612283\pi$
$752$	42.0402	+	9.09862i	1.53305	+	0.331792i
$753$	5.60440	−	9.70710i	0.204236	−	0.353747i
$754$	−39.3543	−	25.6087i	−1.43320	−	0.932615i
$755$		−	17.2072i		−	0.626233i
$756$	−1.68614	+	24.7692i	−0.0613242	+	0.900845i
$757$		−	14.3036i		−	0.519875i	−0.965625	−	0.259937i	$-0.916298\pi$
$757$		−	14.3036i		−	0.519875i	0.965625	−	0.259937i	$-0.0837019\pi$
$758$	−3.02021	+	4.64131i	−0.109699	+	0.168580i
$759$	−0.255276	+	0.442150i	−0.00926592	+	0.0160490i
$760$	−5.38904	−	4.38877i	−0.195481	−	0.159198i
$761$	11.5548	−	6.67119i	0.418862	−	0.241830i	−0.275728	−	0.961236i	$-0.588919\pi$
$761$	11.5548	−	6.67119i	0.418862	−	0.241830i	0.694590	+	0.719405i	$0.255586\pi$
$762$	−3.00876	−	5.91855i	−0.108996	−	0.214406i
$763$	20.5086	−	12.9208i	0.742460	−	0.467763i
$764$	2.72186	+	1.98525i	0.0984733	+	0.0718238i
$765$	3.25477	−	1.87914i	0.117676	−	0.0679405i
$766$	23.3634	+	1.24609i	0.844152	+	0.0450231i
$767$	−20.8612	−	12.0442i	−0.753255	−	0.434892i
$768$	5.99284	−	13.1965i	0.216248	−	0.476186i
$769$		−	16.2042i		−	0.584338i	−0.956367	−	0.292169i	$-0.905623\pi$
$769$		−	16.2042i		−	0.584338i	0.956367	−	0.292169i	$-0.0943770\pi$
$770$	−2.26378	−	4.05744i	−0.0815811	−	0.146220i
$771$	5.12267			0.184489
$772$	−49.0393	−	5.24598i	−1.76496	−	0.188807i
$773$	6.10743	−	10.5784i	0.219669	−	0.380478i	−0.735038	−	0.678026i	$-0.762836\pi$
$773$	6.10743	−	10.5784i	0.219669	−	0.380478i	0.954707	+	0.297548i	$0.0961689\pi$
$774$	5.35100	+	0.285397i	0.192338	+	0.0102584i
$775$	0.133444	+	0.231133i	0.00479347	+	0.00830253i
$776$	−1.76874	+	10.9703i	−0.0634939	+	0.393809i
$777$	5.48173	−	10.4021i	0.196656	−	0.373175i
$778$	25.9895	−	13.2120i	0.931769	−	0.473675i
$779$	15.0753	+	26.1113i	0.540130	+	0.935533i
$780$	−7.14492	+	3.16530i	−0.255829	+	0.113336i
$781$	−8.99086	−	5.19087i	−0.321718	−	0.185744i
$782$	−0.603718	+	0.927764i	−0.0215889	+	0.0331768i
$783$	36.1123			1.29055
$784$	27.7417	+	3.79456i	0.990775	+	0.135520i
$785$	10.7028			0.381998
$786$	−9.48400	+	14.5746i	−0.338283	+	0.519857i
$787$	12.7062	+	7.33592i	0.452927	+	0.261497i	0.709065	−	0.705143i	$-0.249117\pi$
$787$	12.7062	+	7.33592i	0.452927	+	0.261497i	−0.256139	+	0.966640i	$0.582450\pi$
$788$	−3.04346	+	1.34830i	−0.108419	+	0.0480310i
$789$	−4.51155	−	7.81424i	−0.160616	−	0.278194i
$790$	−13.9193	+	7.07602i	−0.495226	+	0.251753i
$791$	25.1686	−	47.7600i	0.894891	−	1.69815i
$792$	−7.55713	−	1.21844i	−0.268531	−	0.0432953i
$793$	1.99685	+	3.45864i	0.0709101	+	0.122820i
$794$	−26.7184	−	1.42503i	−0.948199	−	0.0505725i
$795$	3.92622	−	6.80041i	0.139249	−	0.241186i
$796$	25.4428	+	2.72174i	0.901797	+	0.0964696i
$797$	32.6214			1.15551			0.577754	−	0.816211i	$-0.303929\pi$
$797$	32.6214			1.15551			0.577754	+	0.816211i	$0.303929\pi$
$798$	4.05782	+	7.27293i	0.143645	+	0.257459i
$799$			18.5433i			0.656016i
$800$	5.45727	+	1.48936i	0.192944	+	0.0526567i
$801$	15.0691	+	8.70018i	0.532442	+	0.307406i
$802$	4.90514	+	0.261617i	0.173207	+	0.00923803i
$803$	−7.72339	+	4.45910i	−0.272552	+	0.157358i
$804$	−1.36408	−	0.994925i	−0.0481075	−	0.0350883i
$805$	1.01604	−	0.640125i	0.0358108	−	0.0225615i
$806$	0.737786	+	1.45130i	0.0259874	+	0.0511200i
$807$	15.3412	−	8.85724i	0.540036	−	0.311790i
$808$	−17.2515	+	21.1834i	−0.606907	+	0.745229i
$809$	10.4784	−	18.1491i	0.368400	−	0.638087i	−0.620916	−	0.783877i	$-0.713239\pi$
$809$	10.4784	−	18.1491i	0.368400	−	0.638087i	0.989316	+	0.145790i	$0.0465724\pi$
$810$	−1.76508	+	2.71249i	−0.0620187	+	0.0953073i
$811$			41.5111i			1.45765i	0.684699	+	0.728826i	$0.259934\pi$
$811$			41.5111i			1.45765i	−0.684699	+	0.728826i	$0.740066\pi$
$812$	2.76615	−	40.6344i	0.0970727	−	1.42599i
$813$			29.2078i			1.02436i
$814$	7.22137	+	4.69912i	0.253109	+	0.164704i
$815$	12.5462	−	21.7307i	0.439475	−	0.761193i
$816$	6.10682	+	1.32168i	0.213781	+	0.0462680i
$817$	3.69967	−	2.13600i	0.129435	−	0.0747293i
$818$	−29.7691	+	15.1334i	−1.04085	+	0.529128i
$819$	−24.8542	+	0.959862i	−0.868477	+	0.0335403i
$820$	−19.8270	−	14.4613i	−0.692390	−	0.505010i
$821$	20.2501	−	11.6914i	0.706734	−	0.408033i	−0.103117	−	0.994669i	$-0.532882\pi$
$821$	20.2501	−	11.6914i	0.706734	−	0.408033i	0.809850	+	0.586636i	$0.199548\pi$
$822$	0.882757	−	16.5511i	0.0307897	−	0.577285i
$823$	13.6126	+	7.85923i	0.474505	+	0.273956i	0.718124	−	0.695915i	$-0.245001\pi$
$823$	13.6126	+	7.85923i	0.474505	+	0.273956i	−0.243619	+	0.969871i	$0.578335\pi$
$824$	−7.70739	−	20.2462i	−0.268500	−	0.705309i
$825$			1.12484i			0.0391618i
$826$	0.306820	−	20.8929i	0.0106756	−	0.726956i
$827$	−34.6724			−1.20568			−0.602838	−	0.797864i	$-0.705963\pi$
$827$	−34.6724			−1.20568			−0.602838	+	0.797864i	$0.705963\pi$
$828$	0.210445	−	1.96723i	0.00731345	−	0.0683661i
$829$	15.5301	−	26.8989i	0.539383	−	0.934238i	−0.459555	−	0.888150i	$-0.651991\pi$
$829$	15.5301	−	26.8989i	0.539383	−	0.934238i	0.998937	−	0.0460889i	$-0.0146757\pi$
$830$	−0.639571	+	11.9915i	−0.0221998	+	0.416231i
$831$	8.02006	+	13.8912i	0.278213	+	0.481879i
$832$	32.7592	+	10.8455i	1.13572	+	0.375999i
$833$	0.930962	+	12.0350i	0.0322559	+	0.416987i
$834$	10.3350	+	20.3301i	0.357873	+	0.703974i
$835$	−3.21557	−	5.56953i	−0.111279	−	0.192741i
$836$	−5.57952	+	2.47180i	−0.192972	+	0.0854891i
$837$	−1.08442	−	0.626090i	−0.0374830	−	0.0216408i
$838$	8.64815	+	5.62755i	0.298745	+	0.194401i
$839$	−16.3946			−0.566003			−0.283002	−	0.959119i	$-0.591330\pi$
$839$	−16.3946			−0.566003			−0.283002	+	0.959119i	$0.591330\pi$
$840$	−5.41746	−	4.07455i	−0.186920	−	0.140585i
$841$	−30.2431			−1.04287
$842$	−7.96051	−	5.18009i	−0.274337	−	0.178518i
$843$	−3.15650	−	1.82240i	−0.108715	−	0.0627669i
$844$	13.6184	+	30.7403i	0.468763	+	1.05812i
$845$	−2.80305	−	4.85503i	−0.0964279	−	0.167018i
$846$	−15.0198	−	29.5456i	−0.516392	−	1.01580i
$847$	25.0050	−	0.965684i	0.859181	−	0.0331813i
$848$	−33.0170	+	10.5930i	−1.13381	+	0.363764i
$849$	−8.59268	−	14.8830i	−0.294900	−	0.510782i
$850$	−0.129884	+	2.43524i	−0.00445498	+	0.0835279i
$851$	−1.11341	+	1.92849i	−0.0381673	+	0.0661078i
$852$	−15.0607	−	1.61112i	−0.515971	−	0.0551959i
$853$	43.9900			1.50619			0.753095	−	0.657911i	$-0.228560\pi$
$853$	43.9900			1.50619			0.753095	+	0.657911i	$0.228560\pi$
$854$	−1.77600	+	2.97438i	−0.0607734	+	0.101781i
$855$			5.35537i			0.183150i
$856$	17.0013	+	44.6600i	0.581094	+	1.52645i
$857$	19.8887	+	11.4827i	0.679384	+	0.392242i	0.799623	−	0.600503i	$-0.205033\pi$
$857$	19.8887	+	11.4827i	0.679384	+	0.392242i	−0.120239	+	0.992745i	$0.538366\pi$
$858$	−0.365452	+	6.85197i	−0.0124763	+	0.233923i
$859$	−0.419174	+	0.242010i	−0.0143020	+	0.00825728i	−0.507134	−	0.861867i	$-0.669295\pi$
$859$	−0.419174	+	0.242010i	−0.0143020	+	0.00825728i	0.492832	+	0.870125i	$0.335962\pi$
$860$	−2.04900	+	2.80926i	−0.0698703	+	0.0957950i
$861$	15.6756	+	24.8811i	0.534221	+	0.847947i
$862$	42.7044	−	21.7092i	1.45452	−	0.739420i
$863$	9.39498	−	5.42419i	0.319809	−	0.184642i	−0.331499	−	0.943456i	$-0.607554\pi$
$863$	9.39498	−	5.42419i	0.319809	−	0.184642i	0.651307	+	0.758814i	$0.274221\pi$
$864$	−25.6678	+	6.75059i	−0.873235	+	0.229660i
$865$	−1.08576	+	1.88059i	−0.0369168	+	0.0639419i
$866$	17.6220	+	11.4670i	0.598820	+	0.389666i
$867$		−	12.7057i		−	0.431508i
$868$	−0.787556	+	1.17226i	−0.0267314	+	0.0397890i
$869$			13.7105i			0.465097i
$870$	−5.37790	+	8.26450i	−0.182328	+	0.280193i
$871$	2.00994	−	3.48132i	0.0681043	−	0.117960i
$872$	20.0929	+	16.3634i	0.680430	+	0.554134i
$873$	7.41519	−	4.28116i	0.250966	−	0.144895i
$874$	−0.714767	−	1.40602i	−0.0241774	−	0.0475594i
$875$	1.23347	−	2.34063i	0.0416988	−	0.0791278i
$876$	−7.66734	+	10.5122i	−0.259055	+	0.355176i
$877$	−36.4411	+	21.0393i	−1.23053	+	0.710446i	−0.967140	−	0.254244i	$-0.918173\pi$
$877$	−36.4411	+	21.0393i	−1.23053	+	0.710446i	−0.263388	+	0.964690i	$0.584840\pi$
$878$	17.5788	+	0.937572i	0.593257	+	0.0316415i
$879$	8.14658	+	4.70343i	0.274777	+	0.158643i
$880$	3.33723	−	3.67891i	0.112498	−	0.124016i
$881$		−	30.9141i		−	1.04152i	−0.853702	−	0.520762i	$-0.825648\pi$
$881$		−	30.9141i		−	1.04152i	0.853702	−	0.520762i	$-0.174352\pi$
$882$	−11.2315	−	18.4216i	−0.378183	−	0.620287i
$883$	6.07978			0.204601			0.102300	−	0.994754i	$-0.467380\pi$
$883$	6.07978			0.204601			0.102300	+	0.994754i	$0.467380\pi$
$884$	−1.58238	+	14.7921i	−0.0532213	+	0.497512i
$885$	−2.52932	+	4.38091i	−0.0850221	+	0.147263i
$886$	14.5853	+	0.777913i	0.490003	+	0.0261345i
$887$	24.0789	+	41.7059i	0.808492	+	1.40035i	0.913908	+	0.405920i	$0.133049\pi$
$887$	24.0789	+	41.7059i	0.808492	+	1.40035i	−0.105417	+	0.994428i	$0.533618\pi$
$888$	12.4097	+	2.00082i	0.416443	+	0.0671431i
$889$	12.1310	+	6.39279i	0.406860	+	0.214407i
$890$	−10.0649	+	5.11662i	−0.337378	+	0.171510i
$891$	1.42079	+	2.46089i	0.0475984	+	0.0824428i
$892$	−19.3363	−	43.6471i	−0.647426	−	1.46141i
$893$	−22.8833	−	13.2117i	−0.765760	−	0.442111i
$894$	10.2581	−	15.7642i	0.343083	−	0.527233i
$895$	22.7717			0.761173
$896$	5.62981	+	29.3991i	0.188079	+	0.982154i
$897$	−1.77349			−0.0592152
$898$	−14.3923	+	22.1174i	−0.480278	+	0.738067i
$899$	1.77902	+	1.02712i	0.0593335	+	0.0342562i
$900$	−1.76556	−	3.98533i	−0.0588518	−	0.132844i
$901$	−7.47420	−	12.9457i	−0.249002	−	0.431283i
$902$	−19.2085	+	9.76483i	−0.639572	+	0.325133i
$903$	3.52537	−	2.22105i	0.117317	−	0.0739118i
$904$	56.9775	+	9.18649i	1.89504	+	0.305538i
$905$	10.1424	+	17.5672i	0.337145	+	0.583952i
$906$	−22.0120	−	1.17402i	−0.731301	−	0.0390041i
$907$	−7.12984	+	12.3493i	−0.236743	+	0.410050i	−0.959778	−	0.280761i	$-0.909413\pi$
$907$	−7.12984	+	12.3493i	−0.236743	+	0.410050i	0.723035	+	0.690811i	$0.242746\pi$
$908$	−1.65028	+	15.4268i	−0.0547664	+	0.511955i
$909$	21.0510			0.698219
$910$	8.27415	−	13.8573i	0.274285	−	0.459364i
$911$		−	37.4662i		−	1.24131i	−0.784083	−	0.620656i	$-0.786866\pi$
$911$		−	37.4662i		−	1.24131i	0.784083	−	0.620656i	$-0.213134\pi$
$912$	−5.98196	+	6.59441i	−0.198083	+	0.218363i
$913$	9.13153	+	5.27209i	0.302210	+	0.174481i
$914$	−15.9858	−	0.852609i	−0.528764	−	0.0282018i
$915$	0.726324	−	0.419343i	0.0240115	−	0.0138631i
$916$	−5.77943	+	7.92383i	−0.190958	+	0.261811i
$917$	−1.38590	−	35.8858i	−0.0457664	−	1.18505i
$918$	−5.18503	−	10.1995i	−0.171132	−	0.336634i
$919$	34.5077	−	19.9230i	1.13830	−	0.657200i	0.192293	−	0.981338i	$-0.438408\pi$
$919$	34.5077	−	19.9230i	1.13830	−	0.657200i	0.946010	+	0.324138i	$0.105074\pi$
$920$	0.995448	+	0.810682i	0.0328189	+	0.0267274i
$921$	9.71368	−	16.8246i	0.320077	−	0.554389i
$922$	19.6345	−	30.1733i	0.646628	−	0.993706i
$923$		−	36.0629i		−	1.18703i
$924$	−5.34487	+	2.61908i	−0.175833	+	0.0861614i
$925$			4.90611i			0.161312i
$926$	−8.02407	−	5.22145i	−0.263687	−	0.171587i
$927$	−8.34647	+	14.4565i	−0.274134	+	0.474814i
$928$	42.1086	−	11.0745i	1.38228	−	0.363538i
$929$	−3.03847	+	1.75426i	−0.0996889	+	0.0575554i	−0.549016	−	0.835812i	$-0.684997\pi$
$929$	−3.03847	+	1.75426i	−0.0996889	+	0.0575554i	0.449327	+	0.893368i	$0.351664\pi$
$930$	0.304778	−	0.154937i	0.00999405	−	0.00508059i
$931$	−15.5150	−	7.42577i	−0.508483	−	0.243370i
$932$	−20.2367	+	27.7454i	−0.662876	+	0.908830i
$933$	6.24036	−	3.60288i	0.204300	−	0.117953i
$934$	−1.57296	+	29.4919i	−0.0514689	+	0.965006i
$935$	1.85443	+	1.07066i	0.0606464	+	0.0350142i
$936$	−9.46012	−	24.8503i	−0.309214	−	0.812258i
$937$		−	50.3147i		−	1.64371i	−0.569696	−	0.821855i	$-0.692939\pi$
$937$		−	50.3147i		−	1.64371i	0.569696	−	0.821855i	$-0.307061\pi$
$938$	3.48661	+	0.0512022i	0.113842	+	0.00167181i
$939$	−9.45661			−0.308605
$940$	21.3848	+	2.28763i	0.697494	+	0.0746143i
$941$	−16.9244	+	29.3139i	−0.551719	+	0.955605i	0.446432	+	0.894817i	$0.352694\pi$
$941$	−16.9244	+	29.3139i	−0.551719	+	0.955605i	−0.998151	+	0.0607871i	$0.980639\pi$
$942$	0.730233	−	13.6914i	0.0237923	−	0.446089i
$943$	−2.78467	−	4.82320i	−0.0906815	−	0.157065i
$944$	21.2699	−	6.82412i	0.692278	−	0.222106i
$945$	0.479038	+	12.4040i	0.0155831	+	0.403502i
$946$	1.38356	+	2.72162i	0.0449835	+	0.0884874i
$947$	1.28323	+	2.22263i	0.0416995	+	0.0722256i	0.886122	−	0.463452i	$-0.153389\pi$
$947$	1.28323	+	2.22263i	0.0416995	+	0.0722256i	−0.844422	+	0.535678i	$0.820056\pi$
$948$	8.10220	+	18.2888i	0.263147	+	0.593993i
$949$	−26.8286	−	15.4895i	−0.870894	−	0.502811i
$950$	−2.91265	−	1.89533i	−0.0944987	−	0.0614925i
$951$	−6.13393			−0.198906
$952$	−11.8739	+	5.05305i	−0.384835	+	0.163770i
$953$	−2.53946			−0.0822613			−0.0411306	−	0.999154i	$-0.513096\pi$
$953$	−2.53946			−0.0822613			−0.0411306	+	0.999154i	$0.513096\pi$
$954$	22.3946	+	14.5727i	0.725053	+	0.471809i
$955$	1.45879	+	0.842233i	0.0472054	+	0.0272540i
$956$	−41.2696	+	18.2830i	−1.33475	+	0.591315i
$957$	4.32891	+	7.49789i	0.139934	+	0.242372i
$958$	1.86888	+	3.67629i	0.0603808	+	0.118775i
$959$	18.2470	+	28.9627i	0.589226	+	0.935254i
$960$	2.27758	−	6.87952i	0.0735085	−	0.222036i
$961$	15.4644	+	26.7851i	0.498851	+	0.864036i
$962$	−1.59396	+	29.8857i	−0.0513914	+	0.963553i
$963$	18.4111	−	31.8889i	0.593288	−	1.02760i
$964$	−0.612676	+	5.72729i	−0.0197330	+	0.184464i
$965$	−24.6596			−0.793819
$966$	−0.749548	−	1.34343i	−0.0241163	−	0.0432243i
$967$			12.3398i			0.396821i	0.980119	+	0.198410i	$0.0635779\pi$
$967$			12.3398i			0.396821i	−0.980119	+	0.198410i	$0.936422\pi$
$968$	9.51749	+	25.0011i	0.305904	+	0.803564i
$969$	−3.32405	−	1.91914i	−0.106784	−	0.0616518i
$970$	−0.295908	+	5.54808i	−0.00950105	+	0.178138i
$971$	5.46696	−	3.15635i	0.175443	−	0.101292i	−0.409707	−	0.912217i	$-0.634369\pi$
$971$	5.46696	−	3.15635i	0.175443	−	0.101292i	0.585150	+	0.810925i	$0.301036\pi$
$972$	26.0931	+	19.0316i	0.836938	+	0.610440i
$973$	−41.6696	−	21.9591i	−1.33587	−	0.703976i
$974$	14.6417	−	7.44326i	0.469150	−	0.238498i
$975$	−3.38385	+	1.95367i	−0.108370	+	0.0625674i
$976$	−3.61965	−	0.783389i	−0.115862	−	0.0250757i
$977$	−5.33460	+	9.23979i	−0.170669	+	0.295607i	−0.938654	−	0.344861i	$-0.887926\pi$
$977$	−5.33460	+	9.23979i	−0.170669	+	0.295607i	0.767985	+	0.640468i	$0.221260\pi$
$978$	−26.9427	−	17.5322i	−0.861531	−	0.560619i
$979$			9.91399i			0.316852i
$980$	13.9940	+	0.411102i	0.447021	+	0.0131322i
$981$		−	19.9673i		−	0.637507i
$982$	1.74468	−	2.68115i	0.0556751	−	0.0855588i
$983$	7.67846	−	13.2995i	0.244905	−	0.424188i	−0.717200	−	0.696867i	$-0.754577\pi$
$983$	7.67846	−	13.2995i	0.244905	−	0.424188i	0.962105	+	0.272680i	$0.0879100\pi$
$984$	−19.8522	+	24.3768i	−0.632864	+	0.777103i
$985$	−1.44139	+	0.832187i	−0.0459265	+	0.0265157i
$986$	8.50617	+	16.7325i	0.270892	+	0.532873i
$987$	−22.7998	−	12.0150i	−0.725725	−	0.382443i
$988$	−17.1267	−	12.4917i	−0.544872	−	0.397415i
$989$	−0.683392	+	0.394556i	−0.0217306	+	0.0125462i
$990$	−3.82193	−	0.203844i	−0.121469	−	0.00647858i
$991$	20.0575	+	11.5802i	0.637148	+	0.367857i	0.783515	−	0.621373i	$-0.213425\pi$
$991$	20.0575	+	11.5802i	0.637148	+	0.367857i	−0.146367	+	0.989230i	$0.546758\pi$
$992$	−1.45649	−	0.397492i	−0.0462434	−	0.0126204i
$993$			10.1419i			0.321844i
$994$	27.3179	−	15.2416i	0.866472	−	0.483434i
$995$	12.7940			0.405597
$996$	15.2963	+	1.63632i	0.484683	+	0.0518489i
$997$	4.75443	−	8.23492i	0.150574	−	0.260803i	−0.780864	−	0.624701i	$-0.785221\pi$
$997$	4.75443	−	8.23492i	0.150574	−	0.260803i	0.931439	+	0.363898i	$0.118554\pi$
$998$	−33.5276	−	1.78820i	−1.06130	−	0.0566046i
$999$	−11.5092	−	19.9344i	−0.364133	−	0.630698i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.f.171.4	yes	24
4.3	odd	2		1120.2.bz.e.591.6		24
7.5	odd	6		280.2.bj.e.131.12	✓	24
8.3	odd	2		280.2.bj.e.171.12	yes	24
8.5	even	2		1120.2.bz.f.591.6		24
28.19	even	6		1120.2.bz.f.271.6		24
56.5	odd	6		1120.2.bz.e.271.6		24
56.19	even	6	inner	280.2.bj.f.131.4	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.12	✓	24	7.5	odd	6
280.2.bj.e.171.12	yes	24	8.3	odd	2
280.2.bj.f.131.4	yes	24	56.19	even	6	inner
280.2.bj.f.171.4	yes	24	1.1	even	1	trivial
1120.2.bz.e.271.6		24	56.5	odd	6
1120.2.bz.e.591.6		24	4.3	odd	2
1120.2.bz.f.271.6		24	28.19	even	6
1120.2.bz.f.591.6		24	8.5	even	2

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)

\(f(q)\)	\(=\)	\(q+(-0.771333 + 1.18535i) q^{2} +(0.784482 + 0.452921i) q^{3} +(-0.810092 - 1.82859i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.14196 + 0.580530i) q^{6} +(1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +O(q^{10})\)	\(q+(-0.771333 + 1.18535i) q^{2} +(0.784482 + 0.452921i) q^{3} +(-0.810092 - 1.82859i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.14196 + 0.580530i) q^{6} +(1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +(1.41221 + 0.0753205i) q^{10} +(0.620880 - 1.07539i) q^{11} +(0.192705 - 1.80141i) q^{12} +4.31348 q^{13} +(1.82305 + 3.26749i) q^{14} -0.905842i q^{15} +(-2.68750 + 2.96266i) q^{16} +(-1.49339 - 0.862209i) q^{17} +(3.07783 + 0.164157i) q^{18} +(2.12801 - 1.22861i) q^{19} +(-1.17856 + 1.61586i) q^{20} +(2.02775 - 1.27752i) q^{21} +(0.795811 + 1.56544i) q^{22} +(-0.393079 + 0.226944i) q^{23} +(1.98665 + 1.61791i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-3.32713 + 5.11297i) q^{26} -4.69176i q^{27} +(-5.27928 - 0.359382i) q^{28} +7.69695i q^{29} +(1.07374 + 0.698705i) q^{30} +(0.133444 - 0.231133i) q^{31} +(-1.43882 - 5.47081i) q^{32} +(0.974138 - 0.562419i) q^{33} +(2.17392 - 1.10513i) q^{34} +(-2.64378 + 0.102102i) q^{35} +(-2.56862 + 3.52168i) q^{36} +(4.24881 - 2.45305i) q^{37} +(-0.185078 + 3.47009i) q^{38} +(3.38385 + 1.95367i) q^{39} +(-1.00629 - 2.64337i) q^{40} +12.2703i q^{41} +(-0.0497685 + 3.38898i) q^{42} +1.73856 q^{43} +(-2.46943 - 0.264167i) q^{44} +(-1.08973 + 1.88746i) q^{45} +(0.0341871 - 0.640985i) q^{46} +(-5.37669 - 9.31270i) q^{47} +(-3.45015 + 1.10693i) q^{48} +(-3.95712 - 5.77419i) q^{49} +(-0.640874 - 1.26067i) q^{50} +(-0.781025 - 1.35278i) q^{51} +(-3.49432 - 7.88760i) q^{52} +(7.50728 + 4.33433i) q^{53} +(5.56136 + 3.61891i) q^{54} -1.24176 q^{55} +(4.49808 - 5.98058i) q^{56} +2.22584 q^{57} +(-9.12356 - 5.93691i) q^{58} +(-4.83628 - 2.79223i) q^{59} +(-1.65642 + 0.733815i) q^{60} +(0.462932 + 0.801822i) q^{61} +(0.171042 + 0.336458i) q^{62} +(-5.76199 + 0.222526i) q^{63} +(7.59462 + 2.51432i) q^{64} +(-2.15674 - 3.73558i) q^{65} +(-0.0847233 + 1.58850i) q^{66} +(0.465968 - 0.807080i) q^{67} +(-0.366846 + 3.42927i) q^{68} -0.411152 q^{69} +(1.91821 - 3.21255i) q^{70} -8.36052i q^{71} +(-2.19315 - 5.76109i) q^{72} +(-6.21972 - 3.59095i) q^{73} +(-0.369530 + 6.92844i) q^{74} +(-0.784482 + 0.452921i) q^{75} +(-3.97050 - 2.89597i) q^{76} +(-1.75127 - 2.77972i) q^{77} +(-4.92584 + 2.50411i) q^{78} +(-9.56196 + 5.52060i) q^{79} +(3.90949 + 0.846117i) q^{80} +(-1.14418 + 1.98177i) q^{81} +(-14.5445 - 9.46448i) q^{82} +8.49133i q^{83} +(-3.97873 - 2.67303i) q^{84} +1.72442i q^{85} +(-1.34101 + 2.06079i) q^{86} +(-3.48611 + 6.03812i) q^{87} +(2.21788 - 2.72337i) q^{88} +(-6.91420 + 3.99191i) q^{89} +(-1.39675 - 2.74756i) q^{90} +(5.32054 - 10.0963i) q^{91} +(0.733419 + 0.534936i) q^{92} +(0.209370 - 0.120880i) q^{93} +(15.1860 + 0.809950i) q^{94} +(-2.12801 - 1.22861i) q^{95} +(1.34912 - 4.94343i) q^{96} +3.92866i q^{97} +(9.89666 - 0.236735i) q^{98} -2.70635 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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