LMFDB - Embedded newform 192.2.s.a.59.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			59.6
Character	$\chi$	$=$	192.59
Dual form			192.2.s.a.179.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.07887 - 0.914353i) q^{2} +(1.48602 + 0.889796i) q^{3} +(0.327916 + 1.97293i) q^{4} +(0.737769 - 3.70902i) q^{5} +(-0.789636 - 2.31872i) q^{6} +(-2.11735 - 0.877036i) q^{7} +(1.45018 - 2.42837i) q^{8} +(1.41653 + 2.64451i) q^{9} +O(q^{10})$	\(q+(-1.07887 - 0.914353i) q^{2} +(1.48602 + 0.889796i) q^{3} +(0.327916 + 1.97293i) q^{4} +(0.737769 - 3.70902i) q^{5} +(-0.789636 - 2.31872i) q^{6} +(-2.11735 - 0.877036i) q^{7} +(1.45018 - 2.42837i) q^{8} +(1.41653 + 2.64451i) q^{9} +(-4.18731 + 3.32696i) q^{10} +(-1.12300 - 1.68068i) q^{11} +(-1.26822 + 3.22360i) q^{12} +(6.48369 - 1.28969i) q^{13} +(1.48243 + 2.88222i) q^{14} +(4.39661 - 4.85522i) q^{15} +(-3.78494 + 1.29391i) q^{16} +(2.20185 + 2.20185i) q^{17} +(0.889772 - 4.14829i) q^{18} +(-1.20014 + 0.238723i) q^{19} +(7.55957 + 0.239323i) q^{20} +(-2.36605 - 3.18731i) q^{21} +(-0.325172 + 2.84005i) q^{22} +(-3.08364 + 1.27728i) q^{23} +(4.31575 - 2.31825i) q^{24} +(-8.59310 - 3.55938i) q^{25} +(-8.17427 - 4.53698i) q^{26} +(-0.248084 + 5.19023i) q^{27} +(1.03602 - 4.46499i) q^{28} +(-2.30855 - 1.54252i) q^{29} +(-9.18275 + 1.21809i) q^{30} +3.90995 q^{31} +(5.26655 + 2.06481i) q^{32} +(-0.173334 - 3.49677i) q^{33} +(-0.362239 - 4.38878i) q^{34} +(-4.81506 + 7.20625i) q^{35} +(-4.75295 + 3.66190i) q^{36} +(-0.767863 + 3.86031i) q^{37} +(1.51307 + 0.839802i) q^{38} +(10.7825 + 3.85265i) q^{39} +(-7.93696 - 7.17032i) q^{40} +(0.850228 + 2.05263i) q^{41} +(-0.361665 + 5.60209i) q^{42} +(3.77327 + 5.64710i) q^{43} +(2.94763 - 2.76672i) q^{44} +(10.8536 - 3.30288i) q^{45} +(4.49473 + 1.44151i) q^{46} +(-5.22625 + 5.22625i) q^{47} +(-6.77583 - 1.44504i) q^{48} +(-1.23576 - 1.23576i) q^{49} +(6.01630 + 11.6972i) q^{50} +(1.31280 + 5.23120i) q^{51} +(4.67057 + 12.3690i) q^{52} +(-8.91966 + 5.95992i) q^{53} +(5.01335 - 5.37274i) q^{54} +(-7.06219 + 2.92526i) q^{55} +(-5.20031 + 3.86985i) q^{56} +(-1.99585 - 0.713133i) q^{57} +(1.08021 + 3.77500i) q^{58} +(0.934849 + 0.185953i) q^{59} +(11.0207 + 7.08211i) q^{60} +(6.48467 + 4.33292i) q^{61} +(-4.21832 - 3.57508i) q^{62} +(-0.679955 - 6.84171i) q^{63} +(-3.79395 - 7.04315i) q^{64} -24.9996i q^{65} +(-3.01028 + 3.93105i) q^{66} +(-3.71874 + 5.56549i) q^{67} +(-3.62209 + 5.06614i) q^{68} +(-5.71888 - 0.845733i) q^{69} +(11.7839 - 3.37193i) q^{70} +(4.33632 - 10.4688i) q^{71} +(8.47607 + 0.395169i) q^{72} +(-1.32436 - 3.19728i) q^{73} +(4.35811 - 3.46267i) q^{74} +(-9.60242 - 12.9354i) q^{75} +(-0.864531 - 2.28952i) q^{76} +(0.903760 + 4.54351i) q^{77} +(-8.11018 - 14.0155i) q^{78} +(-7.64787 + 7.64787i) q^{79} +(2.00674 + 14.9930i) q^{80} +(-4.98690 + 7.49205i) q^{81} +(0.959546 - 2.99193i) q^{82} +(1.05055 + 5.28147i) q^{83} +(5.51248 - 5.71324i) q^{84} +(9.79117 - 6.54225i) q^{85} +(1.09258 - 9.54258i) q^{86} +(-2.05802 - 4.34635i) q^{87} +(-5.70987 + 0.289757i) q^{88} +(-2.02577 + 4.89065i) q^{89} +(-14.7296 - 6.36066i) q^{90} +(-14.8594 - 2.95571i) q^{91} +(-3.53117 - 5.66497i) q^{92} +(5.81027 + 3.47906i) q^{93} +(10.4171 - 0.859800i) q^{94} +4.62746i q^{95} +(5.98896 + 7.75451i) q^{96} +4.05246i q^{97} +(0.203301 + 2.46314i) q^{98} +(2.85383 - 5.35051i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{16}\right)$

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 $

$2$	−1.07887	−	0.914353i	−0.762876	−	0.646545i
$2$	−1.07887	−	0.914353i	−0.762876	−	0.646545i
$3$	1.48602	+	0.889796i	0.857956	+	0.513724i
$3$	1.48602	+	0.889796i	0.857956	+	0.513724i
$4$	0.327916	+	1.97293i	0.163958	+	0.986467i
$5$	0.737769	−	3.70902i	0.329940	−	1.65872i	−0.358575	−	0.933501i	$-0.616737\pi$
$5$	0.737769	−	3.70902i	0.329940	−	1.65872i	0.688516	−	0.725221i	$-0.258263\pi$
$6$	−0.789636	−	2.31872i	−0.322368	−	0.946615i
$7$	−2.11735	−	0.877036i	−0.800284	−	0.331489i	−0.0552140	−	0.998475i	$-0.517584\pi$
$7$	−2.11735	−	0.877036i	−0.800284	−	0.331489i	−0.745070	+	0.666986i	$0.767584\pi$
$8$	1.45018	−	2.42837i	0.512716	−	0.858558i
$9$	1.41653	+	2.64451i	0.472176	+	0.881504i
$10$	−4.18731	+	3.32696i	−1.32414	+	1.05208i
$11$	−1.12300	−	1.68068i	−0.338596	−	0.506745i	0.622626	−	0.782519i	$-0.286066\pi$
$11$	−1.12300	−	1.68068i	−0.338596	−	0.506745i	−0.961222	+	0.275774i	$0.911066\pi$
$12$	−1.26822	+	3.22360i	−0.366103	+	0.930574i
$13$	6.48369	−	1.28969i	1.79825	−	0.357694i	0.821190	−	0.570655i	$-0.193311\pi$
$13$	6.48369	−	1.28969i	1.79825	−	0.357694i	0.977061	+	0.212961i	$0.0683106\pi$
$14$	1.48243	+	2.88222i	0.396195	+	0.770305i
$15$	4.39661	−	4.85522i	1.13520	−	1.25361i
$16$	−3.78494	+	1.29391i	−0.946235	+	0.323479i
$17$	2.20185	+	2.20185i	0.534028	+	0.534028i	0.921769	−	0.387741i	$-0.126744\pi$
$17$	2.20185	+	2.20185i	0.534028	+	0.534028i	−0.387741	+	0.921769i	$0.626744\pi$
$18$	0.889772	−	4.14829i	0.209721	−	0.977761i
$19$	−1.20014	+	0.238723i	−0.275331	+	0.0547668i	−0.330825	−	0.943692i	$-0.607327\pi$
$19$	−1.20014	+	0.238723i	−0.275331	+	0.0547668i	0.0554933	+	0.998459i	$0.482327\pi$
$20$	7.55957	+	0.239323i	1.69037	+	0.0535143i
$21$	−2.36605	−	3.18731i	−0.516315	−	0.695528i
$22$	−0.325172	+	2.84005i	−0.0693269	+	0.605501i
$23$	−3.08364	+	1.27728i	−0.642983	+	0.266332i	−0.680258	−	0.732973i	$-0.738132\pi$
$23$	−3.08364	+	1.27728i	−0.642983	+	0.266332i	0.0372751	+	0.999305i	$0.488132\pi$
$24$	4.31575	−	2.31825i	0.880949	−	0.473210i
$25$	−8.59310	−	3.55938i	−1.71862	−	0.711875i
$26$	−8.17427	−	4.53698i	−1.60311	−	0.889774i
$27$	−0.248084	+	5.19023i	−0.0477438	+	0.998860i
$28$	1.03602	−	4.46499i	0.195790	−	0.843804i
$29$	−2.30855	−	1.54252i	−0.428686	−	0.286439i	0.322450	−	0.946587i	$-0.395494\pi$
$29$	−2.30855	−	1.54252i	−0.428686	−	0.286439i	−0.751136	+	0.660148i	$0.770494\pi$
$30$	−9.18275	+	1.21809i	−1.67653	+	0.222392i
$31$	3.90995			0.702248			0.351124	−	0.936329i	$-0.385800\pi$
$31$	3.90995			0.702248			0.351124	+	0.936329i	$0.385800\pi$
$32$	5.26655	+	2.06481i	0.931004	+	0.365010i
$33$	−0.173334	−	3.49677i	−0.0301736	−	0.608710i
$34$	−0.362239	−	4.38878i	−0.0621236	−	0.752670i
$35$	−4.81506	+	7.20625i	−0.813894	+	1.21808i
$36$	−4.75295	+	3.66190i	−0.792158	+	0.610316i
$37$	−0.767863	+	3.86031i	−0.126236	+	0.634631i	0.864918	+	0.501913i	$0.167370\pi$
$37$	−0.767863	+	3.86031i	−0.126236	+	0.634631i	−0.991154	+	0.132718i	$0.957630\pi$
$38$	1.51307	+	0.839802i	0.245453	+	0.136234i
$39$	10.7825	+	3.85265i	1.72658	+	0.616918i
$40$	−7.93696	−	7.17032i	−1.25494	−	1.13373i
$41$	0.850228	+	2.05263i	0.132783	+	0.320567i	0.976261	−	0.216597i	$-0.0694957\pi$
$41$	0.850228	+	2.05263i	0.132783	+	0.320567i	−0.843478	+	0.537164i	$0.819496\pi$
$42$	−0.361665	+	5.60209i	−0.0558061	+	0.864422i
$43$	3.77327	+	5.64710i	0.575418	+	0.861174i	0.999001	−	0.0446831i	$-0.0142278\pi$
$43$	3.77327	+	5.64710i	0.575418	+	0.861174i	−0.423583	+	0.905857i	$0.639228\pi$
$44$	2.94763	−	2.76672i	0.444372	−	0.417099i
$45$	10.8536	−	3.30288i	1.61796	−	0.492365i
$46$	4.49473	+	1.44151i	0.662712	+	0.212539i
$47$	−5.22625	+	5.22625i	−0.762327	+	0.762327i	−0.976743	−	0.214415i	$-0.931215\pi$
$47$	−5.22625	+	5.22625i	−0.762327	+	0.762327i	0.214415	+	0.976743i	$0.431215\pi$
$48$	−6.77583	−	1.44504i	−0.978007	−	0.208573i
$49$	−1.23576	−	1.23576i	−0.176537	−	0.176537i
$50$	6.01630	+	11.6972i	0.850833	+	1.65424i
$51$	1.31280	+	5.23120i	0.183829	+	0.732515i
$52$	4.67057	+	12.3690i	0.647692	+	1.71527i
$53$	−8.91966	+	5.95992i	−1.22521	+	0.818659i	−0.988248	−	0.152861i	$-0.951151\pi$
$53$	−8.91966	+	5.95992i	−1.22521	+	0.818659i	−0.236961	+	0.971519i	$0.576151\pi$
$54$	5.01335	−	5.37274i	0.682231	−	0.731137i
$55$	−7.06219	+	2.92526i	−0.952266	+	0.394441i
$56$	−5.20031	+	3.86985i	−0.694921	+	0.517131i
$57$	−1.99585	−	0.713133i	−0.264357	−	0.0944567i
$58$	1.08021	+	3.77500i	0.141838	+	0.495682i
$59$	0.934849	+	0.185953i	0.121707	+	0.0242090i	0.255568	−	0.966791i	$-0.417738\pi$
$59$	0.934849	+	0.185953i	0.121707	+	0.0242090i	−0.133861	+	0.991000i	$0.542738\pi$
$60$	11.0207	+	7.08211i	1.42277	+	0.914297i
$61$	6.48467	+	4.33292i	0.830277	+	0.554773i	0.896506	−	0.443031i	$-0.146097\pi$
$61$	6.48467	+	4.33292i	0.830277	+	0.554773i	−0.0662291	+	0.997804i	$0.521097\pi$
$62$	−4.21832	−	3.57508i	−0.535728	−	0.454035i
$63$	−0.679955	−	6.84171i	−0.0856663	−	0.861975i
$64$	−3.79395	−	7.04315i	−0.474244	−	0.880393i
$65$		−	24.9996i		−	3.10082i
$66$	−3.01028	+	3.93105i	−0.370540	+	0.483878i
$67$	−3.71874	+	5.56549i	−0.454317	+	0.679933i	−0.985950	−	0.167042i	$-0.946579\pi$
$67$	−3.71874	+	5.56549i	−0.454317	+	0.679933i	0.531633	+	0.846975i	$0.321579\pi$
$68$	−3.62209	+	5.06614i	−0.439243	+	0.614359i
$69$	−5.71888	−	0.845733i	−0.688472	−	0.101814i
$70$	11.7839	−	3.37193i	1.40844	−	0.403023i
$71$	4.33632	−	10.4688i	0.514627	−	1.24242i	−0.426538	−	0.904470i	$-0.640267\pi$
$71$	4.33632	−	10.4688i	0.514627	−	1.24242i	0.941164	−	0.337949i	$-0.109733\pi$
$72$	8.47607	+	0.395169i	0.998915	+	0.0465711i
$73$	−1.32436	−	3.19728i	−0.155004	−	0.374213i	0.827232	−	0.561860i	$-0.189914\pi$
$73$	−1.32436	−	3.19728i	−0.155004	−	0.374213i	−0.982237	+	0.187647i	$0.939914\pi$
$74$	4.35811	−	3.46267i	0.506620	−	0.402527i
$75$	−9.60242	−	12.9354i	−1.10879	−	1.49365i
$76$	−0.864531	−	2.28952i	−0.0991685	−	0.262626i
$77$	0.903760	+	4.54351i	0.102993	+	0.517781i
$78$	−8.11018	−	14.0155i	−0.918297	−	1.58694i
$79$	−7.64787	+	7.64787i	−0.860452	+	0.860452i	−0.991391	−	0.130938i	$-0.958201\pi$
$79$	−7.64787	+	7.64787i	−0.860452	+	0.860452i	0.130938	+	0.991391i	$0.458201\pi$
$80$	2.00674	+	14.9930i	0.224360	+	1.67627i
$81$	−4.98690	+	7.49205i	−0.554100	+	0.832450i
$82$	0.959546	−	2.99193i	0.105964	−	0.330403i
$83$	1.05055	+	5.28147i	0.115313	+	0.579716i	0.994631	+	0.103482i	$0.0329985\pi$
$83$	1.05055	+	5.28147i	0.115313	+	0.579716i	−0.879319	+	0.476234i	$0.842002\pi$
$84$	5.51248	−	5.71324i	0.601461	−	0.623365i
$85$	9.79117	−	6.54225i	1.06200	−	0.709607i
$86$	1.09258	−	9.54258i	0.117816	−	1.02900i
$87$	−2.05802	−	4.34635i	−0.220643	−	0.465978i
$88$	−5.70987	+	0.289757i	−0.608674	+	0.0308882i
$89$	−2.02577	+	4.89065i	−0.214732	+	0.518408i	−0.994139	−	0.108109i	$-0.965520\pi$
$89$	−2.02577	+	4.89065i	−0.214732	+	0.518408i	0.779407	+	0.626518i	$0.215520\pi$
$90$	−14.7296	−	6.36066i	−1.55264	−	0.670472i
$91$	−14.8594	−	2.95571i	−1.55768	−	0.309842i
$92$	−3.53117	−	5.66497i	−0.368150	−	0.590614i
$93$	5.81027	+	3.47906i	0.602497	+	0.360761i
$94$	10.4171	−	0.859800i	1.07444	−	0.0886816i
$95$			4.62746i			0.474768i
$96$	5.98896	+	7.75451i	0.611245	+	0.791441i
$97$			4.05246i			0.411465i	0.978608	+	0.205733i	$0.0659577\pi$
$97$			4.05246i			0.411465i	−0.978608	+	0.205733i	$0.934042\pi$
$98$	0.203301	+	2.46314i	0.0205365	+	0.248814i
$99$	2.85383	−	5.35051i	0.286821	−	0.537747i
$100$	4.20460	−	18.1208i	0.420460	−	1.81208i
$101$	5.41425	+	1.07696i	0.538738	+	0.107162i	0.456957	−	0.889489i	$-0.348939\pi$
$101$	5.41425	+	1.07696i	0.538738	+	0.107162i	0.0817808	+	0.996650i	$0.473939\pi$
$102$	3.36682	−	6.84415i	0.333365	−	0.677672i
$103$	5.94826	−	14.3604i	0.586099	−	1.41497i	−0.301105	−	0.953591i	$-0.597355\pi$
$103$	5.94826	−	14.3604i	0.586099	−	1.41497i	0.887204	−	0.461377i	$-0.152645\pi$
$104$	6.27068	−	17.6151i	0.614891	−	1.72730i
$105$	−13.5674	+	6.42423i	−1.32404	+	0.626940i
$106$	15.0726	+	1.72574i	1.46398	+	0.167619i
$107$	8.93538	−	5.97043i	0.863816	−	0.577183i	−0.0428270	−	0.999083i	$-0.513636\pi$
$107$	8.93538	−	5.97043i	0.863816	−	0.577183i	0.906643	+	0.421899i	$0.138636\pi$
$108$	−10.3213	+	1.21251i	−0.993170	+	0.116674i
$109$	−2.01241	−	10.1171i	−0.192754	−	0.969039i	−0.949126	−	0.314897i	$-0.898030\pi$
$109$	−2.01241	−	10.1171i	−0.192754	−	0.969039i	0.756372	−	0.654142i	$-0.226970\pi$
$110$	10.2939	+	3.30137i	0.981484	+	0.314773i
$111$	−4.57595	+	5.05327i	−0.434330	+	0.479635i
$112$	9.14887	+	0.579857i	0.864487	+	0.0547913i
$113$	1.90478	−	1.90478i	0.179186	−	0.179186i	−0.611815	−	0.791001i	$-0.709560\pi$
$113$	1.90478	−	1.90478i	0.179186	−	0.179186i	0.791001	+	0.611815i	$0.209560\pi$
$114$	1.50121	+	2.59429i	0.140601	+	0.242978i
$115$	2.46246	+	12.3796i	0.229625	+	1.15440i
$116$	2.28628	−	5.06043i	0.212276	−	0.469849i
$117$	12.5949	+	15.3193i	1.16440	+	1.41627i
$118$	−0.838553	−	1.05540i	−0.0771950	−	0.0971576i
$119$	−2.73100	−	6.59321i	−0.250350	−	0.604398i
$120$	−5.41439	−	17.7175i	−0.494264	−	1.61738i
$121$	2.64594	−	6.38787i	0.240540	−	0.580716i
$122$	−3.03429	−	10.6039i	−0.274712	−	0.960035i
$123$	−0.562965	+	3.80679i	−0.0507608	+	0.343246i
$124$	1.28214	+	7.71408i	0.115139	+	0.692744i
$125$	−9.03656	+	13.5242i	−0.808254	+	1.20964i
$126$	−5.52216	+	8.00303i	−0.491953	+	0.712967i
$127$		−	12.2271i		−	1.08498i	−0.840062	−	0.542491i	$-0.817481\pi$
$127$		−	12.2271i		−	1.08498i	0.840062	−	0.542491i	$-0.182519\pi$
$128$	−2.34674	+	11.0676i	−0.207425	+	0.978251i
$129$	0.582403	+	11.7492i	0.0512777	+	1.03446i
$130$	−22.8584	+	26.9713i	−2.00482	+	2.36554i
$131$	14.6544	+	9.79178i	1.28036	+	0.855511i	0.994700	−	0.102819i	$-0.0327861\pi$
$131$	14.6544	+	9.79178i	1.28036	+	0.855511i	0.285663	+	0.958330i	$0.407786\pi$
$132$	6.84206	−	1.48862i	0.595525	−	0.129568i
$133$	2.75049	+	0.547107i	0.238498	+	0.0474402i
$134$	9.10086	−	2.60419i	0.786195	−	0.224968i
$135$	19.0676	+	4.74934i	1.64108	+	0.408758i
$136$	8.54000	−	2.15383i	0.732299	−	0.184689i
$137$	−14.9407	+	6.18863i	−1.27647	+	0.528730i	−0.914925	−	0.403625i	$-0.867750\pi$
$137$	−14.9407	+	6.18863i	−1.27647	+	0.528730i	−0.361544	+	0.932355i	$0.617750\pi$
$138$	5.39662	+	6.14151i	0.459391	+	0.522800i
$139$	10.0112	−	6.68929i	0.849142	−	0.567378i	−0.0531096	−	0.998589i	$-0.516913\pi$
$139$	10.0112	−	6.68929i	0.849142	−	0.567378i	0.902251	+	0.431210i	$0.141913\pi$
$140$	−15.7964	−	7.13675i	−1.33504	−	0.603166i
$141$	−12.4166	+	3.11603i	−1.04567	+	0.262417i
$142$	−14.2505	+	7.32954i	−1.19588	+	0.615081i
$143$	−9.44871	−	9.44871i	−0.790141	−	0.790141i
$144$	−8.78325	−	8.17646i	−0.731937	−	0.681372i
$145$	−7.42441	+	7.42441i	−0.616563	+	0.616563i
$146$	−1.49463	+	4.66037i	−0.123697	+	0.385695i
$147$	−0.736791	−	2.93593i	−0.0607695	−	0.242152i
$148$	−7.86793	−	0.249085i	−0.646740	−	0.0204747i
$149$	−6.74891	−	10.1005i	−0.552893	−	0.827462i	0.444781	−	0.895640i	$-0.353282\pi$
$149$	−6.74891	−	10.1005i	−0.552893	−	0.827462i	−0.997673	+	0.0681772i	$0.978282\pi$
$150$	−1.46779	+	22.7356i	−0.119844	+	1.85636i
$151$	−1.04850	−	2.53129i	−0.0853254	−	0.205994i	0.875458	−	0.483295i	$-0.160560\pi$
$151$	−1.04850	−	2.53129i	−0.0853254	−	0.205994i	−0.960783	+	0.277301i	$0.910560\pi$
$152$	−1.16071	+	3.26058i	−0.0941463	+	0.264468i
$153$	−2.70384	+	8.94182i	−0.218593	+	0.722903i
$154$	3.17933	−	5.72821i	0.256198	−	0.461592i
$155$	2.88464	−	14.5021i	0.231700	−	1.16483i
$156$	−4.06529	+	22.5364i	−0.325483	+	1.80436i
$157$	−8.02013	+	12.0030i	−0.640076	+	0.957941i	0.359616	+	0.933101i	$0.382908\pi$
$157$	−8.02013	+	12.0030i	−0.640076	+	0.957941i	−0.999691	+	0.0248406i	$0.992092\pi$
$158$	15.2439	−	1.25819i	1.21274	−	0.100097i
$159$	−18.5579	+	0.919912i	−1.47174	+	0.0729537i
$160$	11.5439	−	18.0104i	0.912626	−	1.42384i
$161$	7.64937			0.602855
$162$	12.2306	−	3.52315i	0.960926	−	0.276805i
$163$	2.83973	+	1.89745i	0.222425	+	0.148619i	0.661791	−	0.749689i	$-0.269797\pi$
$163$	2.83973	+	1.89745i	0.222425	+	0.148619i	−0.439366	+	0.898308i	$0.644797\pi$
$164$	−3.77090	+	2.35054i	−0.294458	+	0.183546i
$165$	−13.0975	−	1.93691i	−1.01964	−	0.150788i
$166$	3.69572	−	6.65858i	0.286844	−	0.516806i
$167$	−1.54575	−	0.640271i	−0.119614	−	0.0495457i	0.322074	−	0.946715i	$-0.395620\pi$
$167$	−1.54575	−	0.640271i	−0.119614	−	0.0495457i	−0.441688	+	0.897169i	$0.645620\pi$
$168$	−11.1712	+	1.12348i	−0.861874	+	0.0866781i
$169$	28.3645	−	11.7489i	2.18188	−	0.903765i
$170$	−16.5453	−	1.89436i	−1.26897	−	0.145291i
$171$	−2.33134	−	2.83563i	−0.178282	−	0.216846i
$172$	−9.90404	+	9.29619i	−0.755176	+	0.708828i
$173$	11.0118	−	2.19039i	0.837215	−	0.166532i	0.242179	−	0.970232i	$-0.422138\pi$
$173$	11.0118	−	2.19039i	0.837215	−	0.166532i	0.595036	+	0.803699i	$0.297138\pi$
$174$	−1.75377	+	6.57091i	−0.132953	+	0.498139i
$175$	15.0729	+	15.0729i	1.13941	+	1.13941i
$176$	6.42514	+	4.90823i	0.484313	+	0.369971i
$177$	1.22375	+	1.10816i	0.0919824	+	0.0832940i
$178$	6.65733	−	3.42410i	0.498988	−	0.256647i
$179$	−1.79942	+	0.357927i	−0.134495	+	0.0267527i	−0.261879	−	0.965101i	$-0.584342\pi$
$179$	−1.79942	+	0.357927i	−0.134495	+	0.0267527i	0.127384	+	0.991854i	$0.459342\pi$
$180$	10.0754	+	20.3304i	0.750980	+	1.51534i
$181$	−8.04643	−	12.0423i	−0.598086	−	0.895099i	0.401700	−	0.915771i	$-0.368419\pi$
$181$	−8.04643	−	12.0423i	−0.598086	−	0.895099i	−0.999786	+	0.0206721i	$0.993419\pi$
$182$	13.3287	+	16.7755i	0.987991	+	1.24348i
$183$	5.78096	+	12.2088i	0.427341	+	0.902504i
$184$	−1.37011	+	9.34050i	−0.101006	+	0.688591i
$185$	13.7514	+	5.69603i	1.01103	+	0.418781i
$186$	−3.08744	−	9.06609i	−0.226382	−	0.664758i
$187$	1.22794	−	6.17329i	0.0897962	−	0.451436i
$188$	−12.0248	−	8.59728i	−0.877001	−	0.627021i
$189$	5.07730	−	10.7720i	0.369319	−	0.783545i
$190$	4.23114	−	4.99243i	0.306959	−	0.362189i
$191$	−18.6208			−1.34735			−0.673677	−	0.739026i	$-0.735286\pi$
$191$	−18.6208			−1.34735			−0.673677	+	0.739026i	$0.735286\pi$
$192$	0.629059	−	13.8421i	0.0453984	−	0.998969i
$193$	8.36276			0.601964			0.300982	−	0.953630i	$-0.402686\pi$
$193$	8.36276			0.601964			0.300982	+	0.953630i	$0.402686\pi$
$194$	3.70538	−	4.37207i	0.266031	−	0.313897i
$195$	22.2445	−	37.1499i	1.59296	−	2.66036i
$196$	2.03284	−	2.84329i	0.145203	−	0.203092i
$197$	−2.84065	+	14.2809i	−0.202388	+	1.01747i	0.737333	+	0.675529i	$0.236085\pi$
$197$	−2.84065	+	14.2809i	−0.202388	+	1.01747i	−0.939721	+	0.341942i	$0.888915\pi$
$198$	−7.97117	+	3.16309i	−0.566486	+	0.224791i
$199$	4.40886	+	1.82621i	0.312536	+	0.129457i	0.533437	−	0.845840i	$-0.320900\pi$
$199$	4.40886	+	1.82621i	0.312536	+	0.129457i	−0.220902	+	0.975296i	$0.570900\pi$
$200$	−21.1050	+	15.7055i	−1.49235	+	1.11054i
$201$	−10.4783	+	4.96153i	−0.739082	+	0.349959i
$202$	−4.85654	−	6.11244i	−0.341705	−	0.430069i
$203$	3.53516	+	5.29074i	0.248120	+	0.371337i
$204$	−9.89033	+	4.30548i	−0.692462	+	0.301444i
$205$	8.24051	−	1.63914i	0.575542	−	0.114482i
$206$	−19.5478	+	10.0541i	−1.36196	+	0.700505i
$207$	−7.74585	−	6.34541i	−0.538374	−	0.441037i
$208$	−22.8716	+	13.2707i	−1.58586	+	0.920159i
$209$	1.74897	+	1.74897i	0.120979	+	0.120979i
$210$	20.5114	+	5.47447i	1.41542	+	0.377775i
$211$	−25.3114	+	5.03475i	−1.74251	+	0.346607i	−0.960844	−	0.277091i	$-0.910630\pi$
$211$	−25.3114	+	5.03475i	−1.74251	+	0.346607i	−0.781666	+	0.623698i	$0.785630\pi$
$212$	−14.6834	−	15.6435i	−1.00846	−	1.07440i
$213$	15.7590	−	11.6984i	1.07979	−	0.801564i
$214$	−15.0992	−	1.72878i	−1.03216	−	0.118177i
$215$	23.7290	−	9.82886i	1.61830	−	0.670323i
$216$	12.2440	+	8.12920i	0.833100	+	0.553122i
$217$	−8.27874	−	3.42917i	−0.561998	−	0.232787i
$218$	−7.07944	+	12.7550i	−0.479480	+	0.863880i
$219$	0.876901	−	5.92963i	0.0592555	−	0.400687i
$220$	−8.08715	−	12.9740i	−0.545235	−	0.874707i
$221$	17.1158	+	11.4364i	1.15133	+	0.769297i
$222$	9.55732	−	1.26778i	0.641445	−	0.0850877i
$223$	−8.76266			−0.586791			−0.293396	−	0.955991i	$-0.594785\pi$
$223$	−8.76266			−0.586791			−0.293396	+	0.955991i	$0.594785\pi$
$224$	−9.34024	−	8.99089i	−0.624071	−	0.600729i
$225$	−2.75954	−	27.7665i	−0.183969	−	1.85110i
$226$	−3.79664	+	0.313366i	−0.252549	+	0.0208448i
$227$	4.54940	−	6.80866i	0.301954	−	0.451907i	−0.649202	−	0.760616i	$-0.724897\pi$
$227$	4.54940	−	6.80866i	0.301954	−	0.451907i	0.951156	+	0.308709i	$0.0998970\pi$
$228$	0.752492	−	4.17153i	0.0498350	−	0.276267i
$229$	2.10021	−	10.5585i	0.138786	−	0.697724i	−0.847250	−	0.531194i	$-0.821744\pi$
$229$	2.10021	−	10.5585i	0.138786	−	0.697724i	0.986036	−	0.166531i	$-0.0532564\pi$
$230$	8.66266	−	15.6075i	0.571199	−	1.02913i
$231$	−2.69979	+	7.55592i	−0.177633	+	0.497143i
$232$	−7.09362	+	3.36907i	−0.465719	+	0.221190i
$233$	5.25319	+	12.6823i	0.344148	+	0.830846i	0.997287	+	0.0736083i	$0.0234515\pi$
$233$	5.25319	+	12.6823i	0.344148	+	0.830846i	−0.653140	+	0.757237i	$0.726549\pi$
$234$	0.419011	−	28.0437i	0.0273916	−	1.83328i
$235$	15.5285	+	23.2400i	1.01297	+	1.51601i
$236$	−0.0603209	+	1.90537i	−0.00392656	+	0.124029i
$237$	−18.1699	+	4.55987i	−1.18026	+	0.296195i
$238$	−3.08213	+	9.61030i	−0.199785	+	0.622943i
$239$	14.4336	−	14.4336i	0.933632	−	0.933632i	−0.0642985	−	0.997931i	$-0.520481\pi$
$239$	14.4336	−	14.4336i	0.933632	−	0.933632i	0.997931	+	0.0642985i	$0.0204810\pi$
$240$	−10.3587	+	24.0656i	−0.668649	+	1.55342i
$241$	−1.53120	−	1.53120i	−0.0986335	−	0.0986335i	0.656068	−	0.754702i	$-0.272218\pi$
$241$	−1.53120	−	1.53120i	−0.0986335	−	0.0986335i	−0.754702	+	0.656068i	$0.772218\pi$
$242$	−8.69540	+	4.47235i	−0.558961	+	0.287494i
$243$	−14.0770	+	6.69604i	−0.903043	+	0.429551i
$244$	−6.42214	+	14.2147i	−0.411135	+	0.910001i
$245$	−5.49514	+	3.67174i	−0.351072	+	0.234579i
$246$	4.08811	−	3.59227i	0.260648	−	0.229035i
$247$	−7.47346	+	3.09561i	−0.475525	+	0.196969i
$248$	5.67013	−	9.49480i	0.360054	−	0.602920i
$249$	−3.13829	+	8.78315i	−0.198881	+	0.556610i
$250$	22.1151	−	6.32820i	1.39868	−	0.400230i
$251$	−13.0147	−	2.58878i	−0.821478	−	0.163402i	−0.233581	−	0.972337i	$-0.575044\pi$
$251$	−13.0147	−	2.58878i	−0.821478	−	0.163402i	−0.587898	+	0.808935i	$0.700044\pi$
$252$	13.2753	−	3.58502i	0.836264	−	0.225835i
$253$	5.60962	+	3.74823i	0.352674	+	0.235649i
$254$	−11.1799	+	13.1915i	−0.701490	+	0.827706i
$255$	20.3712	−	1.00979i	1.27569	−	0.0632357i
$256$	12.6516	−	9.79479i	0.790723	−	0.612174i
$257$			15.8439i			0.988317i	0.869372	+	0.494159i	$0.164524\pi$
$257$			15.8439i			0.988317i	−0.869372	+	0.494159i	$0.835476\pi$
$258$	10.1145	−	13.2083i	0.629704	−	0.822314i
$259$	5.01147	−	7.50019i	0.311398	−	0.466039i
$260$	49.3225	−	8.19777i	3.05885	−	0.508404i
$261$	0.809098	−	8.29000i	0.0500819	−	0.513138i
$262$	−6.85707	−	23.9634i	−0.423631	−	1.48046i
$263$	−5.63185	+	13.5965i	−0.347275	+	0.838395i	0.649665	+	0.760221i	$0.274909\pi$
$263$	−5.63185	+	13.5965i	−0.347275	+	0.838395i	−0.996940	+	0.0781746i	$0.975091\pi$
$264$	−8.74282	−	4.65003i	−0.538083	−	0.286189i
$265$	15.5248	+	37.4802i	0.953681	+	2.30239i
$266$	−2.46717	−	3.10518i	−0.151272	−	0.190391i
$267$	−7.36203	+	5.46510i	−0.450549	+	0.334458i
$268$	−12.1998	−	5.51182i	−0.745221	−	0.336688i
$269$	−1.19156	−	5.99038i	−0.0726507	−	0.365240i	0.927308	−	0.374299i	$-0.122116\pi$
$269$	−1.19156	−	5.99038i	−0.0726507	−	0.365240i	−0.999959	+	0.00905875i	$0.997116\pi$
$270$	−16.2289	−	22.5584i	−0.987658	−	1.37286i
$271$	−3.55699	+	3.55699i	−0.216072	+	0.216072i	−0.806841	−	0.590769i	$-0.798825\pi$
$271$	−3.55699	+	3.55699i	−0.216072	+	0.216072i	0.590769	+	0.806841i	$0.298825\pi$
$272$	−11.1829	−	5.48488i	−0.678063	−	0.332569i
$273$	−19.4514	−	17.6140i	−1.17725	−	1.06605i
$274$	21.7776	+	6.98433i	1.31563	+	0.421939i
$275$	3.66783	+	18.4394i	0.221179	+	1.11194i
$276$	−0.206737	−	11.5603i	−0.0124441	−	0.695848i
$277$	−15.0737	+	10.0719i	−0.905693	+	0.605164i	−0.918789	−	0.394750i	$-0.870831\pi$
$277$	−15.0737	+	10.0719i	−0.905693	+	0.605164i	0.0130961	+	0.999914i	$0.495831\pi$
$278$	−16.9172	−	1.93693i	−1.01463	−	0.116170i
$279$	5.53855	+	10.3399i	0.331584	+	0.619034i
$280$	10.5167	+	22.1431i	0.628494	+	1.32330i
$281$	10.1039	−	24.3930i	0.602748	−	1.45516i	−0.267994	−	0.963421i	$-0.586361\pi$
$281$	10.1039	−	24.3930i	0.602748	−	1.45516i	0.870741	−	0.491741i	$-0.163639\pi$
$282$	16.2451	+	7.99139i	0.967380	+	0.475880i
$283$	−3.64050	−	0.724141i	−0.216406	−	0.0430457i	0.0856967	−	0.996321i	$-0.472688\pi$
$283$	−3.64050	−	0.724141i	−0.216406	−	0.0430457i	−0.302102	+	0.953276i	$0.597688\pi$
$284$	22.0762	+	5.12239i	1.30998	+	0.303958i
$285$	−4.11750	+	6.87652i	−0.243900	+	0.407330i
$286$	1.55446	+	18.8334i	0.0919172	+	1.11364i
$287$		−	5.09183i		−	0.300561i
$288$	1.99980	+	16.8523i	0.117839	+	0.993033i
$289$		−	7.30368i		−	0.429628i
$290$	14.7985	−	1.22143i	0.868997	−	0.0717249i
$291$	−3.60586	+	6.02205i	−0.211379	+	0.353019i
$292$	5.87374	−	3.66131i	0.343735	−	0.214262i
$293$	−13.6935	−	2.72381i	−0.799985	−	0.159127i	−0.221864	−	0.975078i	$-0.571214\pi$
$293$	−13.6935	−	2.72381i	−0.799985	−	0.159127i	−0.578121	+	0.815951i	$0.696214\pi$
$294$	−1.88958	+	3.84117i	−0.110202	+	0.224022i
$295$	1.37941	−	3.33018i	0.0803121	−	0.193891i
$296$	8.26071	+	7.46280i	0.480144	+	0.433766i
$297$	9.00172	−	5.41166i	0.522333	−	0.314016i
$298$	−1.95420	+	17.0680i	−0.113204	+	0.988721i
$299$	−18.3460	+	12.2584i	−1.06098	+	0.708923i
$300$	22.3719	−	23.1867i	1.29164	−	1.33868i
$301$	−3.03663	−	15.2662i	−0.175029	−	0.879929i
$302$	−1.18331	+	3.68963i	−0.0680916	+	0.212314i
$303$	7.08742	+	6.41796i	0.407162	+	0.368702i
$304$	4.23358	−	2.45643i	0.242812	−	0.140886i
$305$	20.8551	−	20.8551i	1.19416	−	1.19416i
$306$	11.0931	−	7.17478i	0.634149	−	0.410155i
$307$	−4.26715	−	21.4524i	−0.243539	−	1.22435i	−0.888046	−	0.459755i	$-0.847937\pi$
$307$	−4.26715	−	21.4524i	−0.243539	−	1.22435i	0.644506	−	0.764599i	$-0.277063\pi$
$308$	−8.66769	+	3.27295i	−0.493887	+	0.186494i
$309$	21.6170	−	16.0471i	1.22975	−	0.912887i
$310$	−16.3722	+	13.0082i	−0.929876	+	0.738819i
$311$	−1.68904	−	4.07770i	−0.0957766	−	0.231225i	0.868729	−	0.495288i	$-0.164937\pi$
$311$	−1.68904	−	4.07770i	−0.0957766	−	0.231225i	−0.964506	+	0.264063i	$0.914937\pi$
$312$	24.9922	−	20.5968i	1.41490	−	1.16606i
$313$	3.98940	−	9.63127i	0.225494	−	0.544391i	−0.770125	−	0.637893i	$-0.779806\pi$
$313$	3.98940	−	9.63127i	0.225494	−	0.544391i	0.995619	+	0.0935019i	$0.0298061\pi$
$314$	19.6276	−	5.61640i	1.10765	−	0.316952i
$315$	−25.8777	−	2.52564i	−1.45804	−	0.142304i
$316$	−17.5966	−	12.5809i	−0.989886	−	0.707730i
$317$	1.00260	−	1.50050i	0.0563119	−	0.0842767i	−0.802245	−	0.596995i	$-0.796361\pi$
$317$	1.00260	−	1.50050i	0.0563119	−	0.0842767i	0.858557	+	0.512718i	$0.171361\pi$
$318$	20.8627	+	15.9760i	1.16992	+	0.895892i
$319$			5.61218i			0.314222i
$320$	−28.9222	+	8.87562i	−1.61680	+	0.496162i
$321$	18.5906	−	0.921533i	1.03763	−	0.0514350i
$322$	−8.25267	−	6.99423i	−0.459903	−	0.389773i
$323$	−3.16817	−	2.11690i	−0.176282	−	0.117788i
$324$	−16.4166	−	7.38206i	−0.912034	−	0.410114i
$325$	−60.3054	−	11.9955i	−3.34514	−	0.665390i
$326$	−1.32876	−	4.64361i	−0.0735932	−	0.257186i
$327$	6.01163	−	16.8248i	0.332444	−	0.930414i
$328$	6.21753	+	0.912019i	0.343306	+	0.0503578i
$329$	15.6494	−	6.48221i	0.862781	−	0.357376i
$330$	12.3594	+	14.0654i	0.680364	+	0.774273i
$331$	21.4745	−	14.3488i	1.18035	−	0.788683i	0.198825	−	0.980035i	$-0.436287\pi$
$331$	21.4745	−	14.3488i	1.18035	−	0.788683i	0.981521	+	0.191352i	$0.0612873\pi$
$332$	−10.0755	+	3.80454i	−0.552965	+	0.208801i
$333$	−11.2963	+	3.43761i	−0.619035	+	0.188380i
$334$	1.08223	+	2.10413i	0.0592169	+	0.115133i
$335$	17.8989	+	17.8989i	0.977923	+	0.977923i
$336$	13.0795	+	9.00230i	0.713544	+	0.491116i
$337$	−12.1611	+	12.1611i	−0.662457	+	0.662457i	−0.955959	−	0.293502i	$-0.905179\pi$
$337$	−12.1611	+	12.1611i	−0.662457	+	0.662457i	0.293502	+	0.955959i	$0.405179\pi$
$338$	−41.3442	−	13.2596i	−2.24883	−	0.721225i
$339$	4.52540	−	1.13568i	0.245786	−	0.0616816i
$340$	16.1181	+	17.1720i	0.874127	+	0.931284i
$341$	−4.39086	−	6.57139i	−0.237778	−	0.355860i
$342$	−0.0775597	+	5.19094i	−0.00419395	+	0.280694i
$343$	7.67198	+	18.5218i	0.414248	+	1.00008i
$344$	19.1852	−	0.973582i	1.03439	−	0.0524920i
$345$	−7.35605	+	20.5874i	−0.396036	+	1.10839i
$346$	−13.8831	−	7.70557i	−0.746361	−	0.414254i
$347$	0.490474	−	2.46578i	0.0263300	−	0.132370i	−0.965385	−	0.260831i	$-0.916004\pi$
$347$	0.490474	−	2.46578i	0.0263300	−	0.132370i	0.991715	+	0.128461i	$0.0410036\pi$
$348$	7.90021	−	5.48559i	0.423496	−	0.294058i
$349$	−13.0828	+	19.5797i	−0.700304	+	1.04808i	0.295390	+	0.955377i	$0.404550\pi$
$349$	−13.0828	+	19.5797i	−0.700304	+	1.04808i	−0.995694	+	0.0927021i	$0.970450\pi$
$350$	−2.47973	−	30.0437i	−0.132547	−	1.60590i
$351$	5.08526	+	33.9717i	0.271431	+	1.81328i
$352$	−2.44403	−	11.1702i	−0.130267	−	0.595372i
$353$	−1.54964			−0.0824790			−0.0412395	−	0.999149i	$-0.513131\pi$
$353$	−1.54964			−0.0824790			−0.0412395	+	0.999149i	$0.513131\pi$
$354$	−0.307017	−	2.31449i	−0.0163178	−	0.123014i
$355$	−35.6298	−	23.8070i	−1.89103	−	1.26355i
$356$	−10.3132	−	2.39300i	−0.546600	−	0.126829i
$357$	1.80828	−	12.2277i	0.0957046	−	0.647158i
$358$	2.26861	+	1.25915i	0.119900	+	0.0665481i
$359$	−9.71202	−	4.02285i	−0.512581	−	0.212318i	0.111374	−	0.993779i	$-0.464475\pi$
$359$	−9.71202	−	4.02285i	−0.512581	−	0.212318i	−0.623954	+	0.781461i	$0.714475\pi$
$360$	7.71907	−	31.1463i	0.406831	−	1.64156i
$361$	−16.1704	+	6.69798i	−0.851072	+	0.352525i
$362$	−2.32990	+	20.3494i	−0.122457	+	1.06954i
$363$	9.61583	−	7.13818i	0.504700	−	0.374657i
$364$	0.958796	−	30.2858i	0.0502546	−	1.58740i
$365$	−12.8358	+	2.55320i	−0.671858	+	0.133641i
$366$	4.92631	−	18.4576i	0.257502	−	0.964793i
$367$	2.15576	+	2.15576i	0.112530	+	0.112530i	0.761130	−	0.648600i	$-0.224645\pi$
$367$	2.15576	+	2.15576i	0.112530	+	0.112530i	−0.648600	+	0.761130i	$0.724645\pi$
$368$	10.0187	−	8.82441i	0.522260	−	0.460004i
$369$	−4.22384	+	5.15605i	−0.219884	+	0.268413i
$370$	−9.62781	−	18.7189i	−0.500526	−	0.973152i
$371$	24.1131	−	4.79640i	1.25189	−	0.249017i
$372$	−4.95867	+	12.6041i	−0.257095	+	0.653494i
$373$	9.45937	+	14.1570i	0.489788	+	0.733019i	0.991227	−	0.132174i	$-0.0421957\pi$
$373$	9.45937	+	14.1570i	0.489788	+	0.733019i	−0.501439	+	0.865193i	$0.667196\pi$
$374$	−6.96936	+	5.53740i	−0.360377	+	0.286332i
$375$	−25.4623	+	12.0565i	−1.31487	+	0.622597i
$376$	5.11226	+	20.2703i	0.263645	+	1.04536i
$377$	−16.9572	−	7.02392i	−0.873343	−	0.361750i
$378$	−15.3271	+	6.97909i	−0.788342	+	0.358966i
$379$	2.04823	−	10.2971i	0.105210	−	0.528929i	−0.891851	−	0.452328i	$-0.850593\pi$
$379$	2.04823	−	10.2971i	0.105210	−	0.528929i	0.997062	−	0.0766002i	$-0.0244065\pi$
$380$	−9.12969	+	1.51742i	−0.468343	+	0.0778421i
$381$	10.8796	−	18.1698i	0.557381	−	0.930866i
$382$	20.0894	+	17.0260i	1.02786	+	0.871125i
$383$	−26.6566			−1.36209			−0.681045	−	0.732242i	$-0.738474\pi$
$383$	−26.6566			−1.36209			−0.681045	+	0.732242i	$0.738474\pi$
$384$	−13.3353	+	14.3587i	−0.680512	+	0.732737i
$385$	17.5187			0.892836
$386$	−9.02232	−	7.64651i	−0.459224	−	0.389197i
$387$	−9.58888	+	17.9777i	−0.487430	+	0.913859i
$388$	−7.99524	+	1.32887i	−0.405897	+	0.0674631i
$389$	0.609624	−	3.06479i	0.0309091	−	0.155391i	−0.962248	−	0.272173i	$-0.912258\pi$
$389$	0.609624	−	3.06479i	0.0309091	−	0.155391i	0.993158	+	0.116782i	$0.0372578\pi$
$390$	−57.9671	+	19.7406i	−2.93528	+	0.999603i
$391$	−9.60211	−	3.97732i	−0.485600	−	0.201142i
$392$	−4.79294	+	1.20880i	−0.242080	+	0.0610538i
$393$	13.0641	+	27.5902i	0.658998	+	1.39174i
$394$	16.1225	−	12.8099i	0.812238	−	0.645351i
$395$	22.7237	+	34.0084i	1.14335	+	1.71115i
$396$	11.4920	+	3.87590i	0.577496	+	0.194772i
$397$	13.0490	−	2.59560i	0.654910	−	0.130270i	0.143559	−	0.989642i	$-0.454145\pi$
$397$	13.0490	−	2.59560i	0.654910	−	0.130270i	0.511351	+	0.859372i	$0.329145\pi$
$398$	−3.08678	−	6.00150i	−0.154726	−	0.300828i
$399$	3.60048	+	3.26039i	0.180249	+	0.163224i
$400$	37.1299	+	2.35330i	1.85649	+	0.117665i
$401$	−2.74635	−	2.74635i	−0.137146	−	0.137146i	0.635201	−	0.772347i	$-0.280917\pi$
$401$	−2.74635	−	2.74635i	−0.137146	−	0.137146i	−0.772347	+	0.635201i	$0.780917\pi$
$402$	15.8413	+	4.22802i	0.790092	+	0.210874i
$403$	25.3509	−	5.04260i	1.26282	−	0.251190i
$404$	−0.349353	+	11.0351i	−0.0173810	+	0.549017i
$405$	24.1090	+	24.0239i	1.19798	+	1.19376i
$406$	1.02363	−	8.94040i	0.0508020	−	0.443705i
$407$	7.35026	−	3.04458i	0.364339	−	0.150914i
$408$	14.6071	+	4.39821i	0.723159	+	0.217744i
$409$	−7.96420	−	3.29888i	−0.393804	−	0.163119i	0.176989	−	0.984213i	$-0.443364\pi$
$409$	−7.96420	−	3.29888i	−0.393804	−	0.163119i	−0.570793	+	0.821094i	$0.693364\pi$
$410$	−10.3892	−	5.76632i	−0.513085	−	0.284778i
$411$	−27.7088	−	4.09770i	−1.36677	−	0.202125i
$412$	30.2826	+	7.02652i	1.49192	+	0.346172i
$413$	−1.81632	−	1.21362i	−0.0893752	−	0.0597186i
$414$	2.55481	+	13.9283i	0.125562	+	0.684539i
$415$	20.3641			0.999635
$416$	36.8096	+	6.59538i	1.80474	+	0.323365i
$417$	20.8290	−	1.03249i	1.02000	−	0.0505612i
$418$	−0.287733	−	3.48609i	−0.0140735	−	0.170510i
$419$	2.44878	−	3.66486i	0.119631	−	0.179040i	−0.766821	−	0.641861i	$-0.778163\pi$
$419$	2.44878	−	3.66486i	0.119631	−	0.179040i	0.886452	+	0.462821i	$0.153163\pi$
$420$	−17.1235	−	24.6609i	−0.835543	−	1.20333i
$421$	−7.85512	+	39.4903i	−0.382835	+	1.92464i	−0.00200165	+	0.999998i	$0.500637\pi$
$421$	−7.85512	+	39.4903i	−0.382835	+	1.92464i	−0.380833	+	0.924644i	$0.624363\pi$
$422$	31.9112	+	17.7117i	1.55341	+	0.862194i
$423$	−21.2240	−	6.41776i	−1.03195	−	0.312042i
$424$	1.53778	+	30.3032i	0.0746814	+	1.47165i
$425$	−11.0835	−	26.7580i	−0.537629	−	1.29795i
$426$	−27.6984	−	1.78818i	−1.34199	−	0.0866375i
$427$	−9.93021	−	14.8616i	−0.480557	−	0.719204i
$428$	14.7093	+	15.6711i	0.711002	+	0.757492i
$429$	−5.63358	−	22.4484i	−0.271992	−	1.08382i
$430$	−34.5875	−	11.0926i	−1.66796	−	0.534933i
$431$	−16.0961	+	16.0961i	−0.775322	+	0.775322i	−0.979031	−	0.203709i	$-0.934700\pi$
$431$	−16.0961	+	16.0961i	−0.775322	+	0.775322i	0.203709	+	0.979031i	$0.434700\pi$
$432$	−5.77673	−	19.9657i	−0.277933	−	0.960600i
$433$	9.20366	+	9.20366i	0.442300	+	0.442300i	0.892784	−	0.450484i	$-0.148749\pi$
$433$	9.20366	+	9.20366i	0.442300	+	0.442300i	−0.450484	+	0.892784i	$0.648749\pi$
$434$	5.79621	+	11.2693i	0.278227	+	0.540945i
$435$	−17.6390	+	4.42663i	−0.845727	+	0.212241i
$436$	19.3004	−	7.28790i	0.924321	−	0.349027i
$437$	3.39588	−	2.26906i	0.162447	−	0.108544i
$438$	−6.36784	+	5.59550i	−0.304267	+	0.267363i
$439$	−24.8403	+	10.2892i	−1.18556	+	0.491077i	−0.886308	−	0.463096i	$-0.846739\pi$
$439$	−24.8403	+	10.2892i	−1.18556	+	0.491077i	−0.299256	+	0.954173i	$0.596739\pi$
$440$	−3.13785	+	21.3918i	−0.149591	+	1.01981i
$441$	1.51749	−	5.01846i	0.0722615	−	0.238974i
$442$	−8.00880	−	27.9883i	−0.380940	−	1.33127i
$443$	32.4184	+	6.44841i	1.54024	+	0.306373i	0.890927	−	0.454146i	$-0.150055\pi$
$443$	32.4184	+	6.44841i	1.54024	+	0.306373i	0.649316	+	0.760519i	$0.275055\pi$
$444$	−11.4703	−	7.37100i	−0.544356	−	0.349812i
$445$	16.6450	+	11.1218i	0.789046	+	0.527224i
$446$	9.45376	+	8.01217i	0.447649	+	0.379387i
$447$	−1.04169	−	21.0147i	−0.0492703	−	0.993960i
$448$	1.85604	+	18.2403i	0.0876898	+	0.861771i
$449$			23.5262i			1.11027i	0.831760	+	0.555135i	$0.187333\pi$
$449$			23.5262i			1.11027i	−0.831760	+	0.555135i	$0.812667\pi$
$450$	−22.4112	+	32.4796i	−1.05647	+	1.53110i
$451$	2.49502	−	3.73406i	0.117486	−	0.175830i
$452$	4.38261	+	3.13339i	0.206140	+	0.147382i
$453$	0.694245	−	4.69451i	0.0326185	−	0.220567i
$454$	−11.1337	+	3.18589i	−0.522532	+	0.149521i
$455$	−21.9255	+	52.9329i	−1.02789	+	2.48153i
$456$	−4.62609	+	3.81249i	−0.216637	+	0.178536i
$457$	−14.5342	−	35.0886i	−0.679881	−	1.64138i	−0.764232	−	0.644941i	$-0.776882\pi$
$457$	−14.5342	−	35.0886i	−0.679881	−	1.64138i	0.0843513	−	0.996436i	$-0.473118\pi$
$458$	−11.9200	+	9.47089i	−0.556987	+	0.442545i
$459$	−11.9744	+	10.8819i	−0.558915	+	0.507922i
$460$	−23.6167	+	8.91774i	−1.10113	+	0.415792i
$461$	−5.57077	−	28.0062i	−0.259457	−	1.30438i	−0.862251	−	0.506481i	$-0.830946\pi$
$461$	−5.57077	−	28.0062i	−0.259457	−	1.30438i	0.602795	−	0.797896i	$-0.294054\pi$
$462$	9.82149	−	5.68329i	0.456937	−	0.264410i
$463$	−17.0250	+	17.0250i	−0.791220	+	0.791220i	−0.981693	−	0.190472i	$-0.938998\pi$
$463$	−17.0250	+	17.0250i	−0.791220	+	0.791220i	0.190472	+	0.981693i	$0.438998\pi$
$464$	10.7336	+	2.85129i	0.498295	+	0.132368i
$465$	17.1905	−	18.9837i	0.797191	−	0.880346i
$466$	5.92861	−	18.4858i	0.274638	−	0.856339i
$467$	−2.89864	−	14.5725i	−0.134133	−	0.674333i	−0.988076	−	0.153966i	$-0.950795\pi$
$467$	−2.89864	−	14.5725i	−0.134133	−	0.674333i	0.853943	−	0.520367i	$-0.174205\pi$
$468$	−26.0939	+	29.8724i	−1.20619	+	1.38085i
$469$	12.7550	−	8.52264i	0.588973	−	0.393539i
$470$	4.49639	−	39.2714i	0.207403	−	1.81146i
$471$	−22.5983	+	10.7004i	−1.04127	+	0.493049i
$472$	1.80726	−	2.00049i	0.0831860	−	0.0920802i
$473$	5.25361	−	12.6833i	0.241561	−	0.583181i
$474$	23.7723	+	11.6942i	1.09190	+	0.537135i
$475$	11.1626	+	2.22039i	0.512177	+	0.101878i
$476$	12.1124	−	7.55010i	0.555172	−	0.346058i
$477$	−28.3960	−	15.1458i	−1.30017	−	0.693476i
$478$	−28.7694	+	2.37455i	−1.31588	+	0.108610i
$479$		−	42.7458i		−	1.95310i	−0.215283	−	0.976552i	$-0.569068\pi$
$479$		−	42.7458i		−	1.95310i	0.215283	−	0.976552i	$-0.430932\pi$
$480$	33.1801	−	16.4921i	1.51446	−	0.752758i
$481$			26.0193i			1.18638i
$482$	0.251907	+	3.05203i	0.0114740	+	0.139016i
$483$	11.3671	+	6.80638i	0.517223	+	0.309701i
$484$	13.4705	+	3.12559i	0.612296	+	0.142072i
$485$	15.0306	+	2.98978i	0.682506	+	0.135759i
$486$	21.3098	+	5.64724i	0.966633	+	0.256164i
$487$	6.96394	−	16.8124i	0.315566	−	0.761845i	−0.683912	−	0.729564i	$-0.739723\pi$
$487$	6.96394	−	16.8124i	0.315566	−	0.761845i	0.999479	−	0.0322807i	$-0.0102770\pi$
$488$	19.9259	−	9.46366i	0.902002	−	0.428400i
$489$	2.53156	+	5.34643i	0.114481	+	0.241774i
$490$	9.28580	+	1.06318i	0.419490	+	0.0480295i
$491$	−13.0521	+	8.72115i	−0.589034	+	0.393580i	−0.814067	−	0.580771i	$-0.802751\pi$
$491$	−13.0521	+	8.72115i	−0.589034	+	0.393580i	0.225033	+	0.974351i	$0.427751\pi$
$492$	−7.69514	+	0.137615i	−0.346924	+	0.00620417i
$493$	−1.68667	−	8.47948i	−0.0759640	−	0.381897i
$494$	10.8934	+	3.49363i	0.490116	+	0.157186i
$495$	−17.7397	−	14.5324i	−0.797339	−	0.653181i
$496$	−14.7989	+	5.05914i	−0.664492	+	0.227162i
$497$	−18.3631	+	18.3631i	−0.823695	+	0.823695i
$498$	11.4167	−	6.60637i	0.511595	−	0.296039i
$499$	7.74979	+	38.9608i	0.346928	+	1.74413i	0.622292	+	0.782785i	$0.286202\pi$
$499$	7.74979	+	38.9608i	0.346928	+	1.74413i	−0.275364	+	0.961340i	$0.588798\pi$
$500$	−29.6455	−	13.3937i	−1.32579	−	0.598987i
$501$	−1.72731	−	2.32686i	−0.0771706	−	0.103956i
$502$	11.6741	+	14.6930i	0.521039	+	0.655778i
$503$	0.559861	+	1.35162i	0.0249630	+	0.0602659i	0.935869	−	0.352347i	$-0.114616\pi$
$503$	0.559861	+	1.35162i	0.0249630	+	0.0602659i	−0.910907	+	0.412613i	$0.864616\pi$
$504$	−17.6003	−	8.27054i	−0.783978	−	0.368399i
$505$	7.98893	−	19.2870i	0.355503	−	0.858260i
$506$	−2.62484	−	9.17303i	−0.116688	−	0.407791i
$507$	52.6044	+	7.77937i	2.33624	+	0.345494i
$508$	24.1233	−	4.00947i	1.07030	−	0.177892i
$509$	0.977492	−	1.46292i	0.0433266	−	0.0648428i	−0.809174	−	0.587569i	$-0.800085\pi$
$509$	0.977492	−	1.46292i	0.0433266	−	0.0648428i	0.852501	+	0.522726i	$0.175085\pi$
$510$	−22.9011	−	17.5370i	−1.01408	−	0.776552i
$511$			7.93127i			0.350859i
$512$	−22.6053	−	1.00071i	−0.999022	−	0.0442257i
$513$	−0.941290	−	6.28823i	−0.0415590	−	0.277632i
$514$	14.4870	−	17.0935i	0.638992	−	0.753963i
$515$	−48.8744	−	32.6568i	−2.15366	−	1.43903i
$516$	−22.9893	+	5.00178i	−1.01205	+	0.220191i
$517$	14.6527	+	2.91461i	0.644426	+	0.128184i
$518$	−12.2645	+	3.50947i	−0.538873	+	0.154197i
$519$	18.3128	+	6.54332i	0.803845	+	0.287220i
$520$	−60.7082	−	36.2539i	−2.66223	−	1.58984i
$521$	−1.71027	+	0.708417i	−0.0749283	+	0.0310363i	−0.419833	−	0.907601i	$-0.637911\pi$
$521$	−1.71027	+	0.708417i	−0.0749283	+	0.0310363i	0.344905	+	0.938638i	$0.387911\pi$
$522$	−8.45290	+	8.20402i	−0.369973	+	0.359080i
$523$	25.2285	−	16.8571i	1.10316	−	0.737111i	0.135859	−	0.990728i	$-0.456620\pi$
$523$	25.2285	−	16.8571i	1.10316	−	0.737111i	0.967305	+	0.253617i	$0.0816204\pi$
$524$	−14.5131	+	32.1231i	−0.634008	+	1.40330i
$525$	8.98688	+	35.8105i	0.392220	+	1.56290i
$526$	18.5080	−	9.51933i	0.806988	−	0.415062i
$527$	8.60914	+	8.60914i	0.375020	+	0.375020i
$528$	5.18058	+	13.0108i	0.225456	+	0.566222i
$529$	−8.38609	+	8.38609i	−0.364613	+	0.364613i
$530$	17.5209	−	54.6314i	0.761060	−	2.37304i
$531$	0.832484	+	2.73563i	0.0361267	+	0.118716i
$532$	−0.177475	+	5.60594i	−0.00769451	+	0.243049i
$533$	8.15986	+	12.2121i	0.353443	+	0.528964i
$534$	12.9397	+	0.835372i	0.559955	+	0.0361501i
$535$	−15.5522	−	37.5463i	−0.672379	−	1.62327i
$536$	8.12222	+	17.1015i	0.350827	+	0.738670i
$537$	−2.99246	−	1.06923i	−0.129134	−	0.0461406i
$538$	−4.19178	+	7.55234i	−0.180721	+	0.325604i
$539$	−0.689165	+	3.46466i	−0.0296844	+	0.149234i
$540$	−3.11755	+	39.1765i	−0.134158	+	1.68589i
$541$	14.9437	−	22.3648i	0.642480	−	0.961540i	−0.357142	−	0.934050i	$-0.616249\pi$
$541$	14.9437	−	22.3648i	0.642480	−	0.961540i	0.999622	−	0.0274895i	$-0.00875130\pi$
$542$	7.08988	−	0.585181i	0.304536	−	0.0251357i
$543$	−1.24196	−	25.0548i	−0.0532977	−	1.07521i
$544$	7.04977	+	16.1426i	0.302256	+	0.692107i
$545$	−39.0090			−1.67096
$546$	4.88002	+	36.7886i	0.208845	+	1.57441i
$547$	35.1482	+	23.4853i	1.50283	+	1.00416i	0.989269	+	0.146103i	$0.0466731\pi$
$547$	35.1482	+	23.4853i	1.50283	+	1.00416i	0.513559	+	0.858054i	$0.328327\pi$
$548$	−17.1091	−	27.4476i	−0.730863	−	1.17250i
$549$	−2.27275	+	23.2865i	−0.0969984	+	0.993844i
$550$	12.9030	−	23.2474i	0.550188	−	0.991274i
$551$	3.13882	+	1.30014i	0.133718	+	0.0553878i
$552$	−10.3472	+	12.6611i	−0.440404	+	0.538891i
$553$	22.9007	−	9.48578i	0.973837	−	0.403376i
$554$	25.4719	+	2.91641i	1.08220	+	0.123906i
$555$	15.3666	+	20.7004i	0.652278	+	0.878683i
$556$	16.4804	+	17.5580i	0.698924	+	0.744624i
$557$	10.5524	−	2.09899i	0.447118	−	0.0889372i	0.0336041	−	0.999435i	$-0.489301\pi$
$557$	10.5524	−	2.09899i	0.447118	−	0.0889372i	0.413513	+	0.910498i	$0.364301\pi$
$558$	3.47896	−	16.2196i	0.147276	−	0.686631i
$559$	31.7477	+	31.7477i	1.34278	+	1.34278i
$560$	8.90045	−	33.5055i	0.376113	−	1.41587i
$561$	7.31772	−	8.08103i	0.308954	−	0.341181i
$562$	−33.2046	+	17.0783i	−1.40065	+	0.720404i
$563$	45.5335	−	9.05718i	1.91901	−	0.381715i	0.919086	−	0.394057i	$-0.128929\pi$
$563$	45.5335	−	9.05718i	1.91901	−	0.381715i	0.999924	+	0.0123428i	$0.00392892\pi$
$564$	−10.2193	−	23.4754i	−0.430312	−	0.988492i
$565$	−5.65956	−	8.47013i	−0.238099	−	0.356341i
$566$	3.26551	+	4.10996i	0.137259	+	0.172755i
$567$	17.1298	−	11.4896i	0.719385	−	0.482519i
$568$	−19.1337	−	25.7119i	−0.802831	−	1.07885i
$569$	6.46341	+	2.67723i	0.270960	+	0.112235i	0.514027	−	0.857774i	$-0.328153\pi$
$569$	6.46341	+	2.67723i	0.270960	+	0.112235i	−0.243066	+	0.970010i	$0.578153\pi$
$570$	10.7298	−	3.65401i	0.449422	−	0.153050i
$571$	6.40182	−	32.1841i	0.267908	−	1.34686i	−0.579089	−	0.815265i	$-0.696591\pi$
$571$	6.40182	−	32.1841i	0.267908	−	1.34686i	0.846996	−	0.531599i	$-0.178409\pi$
$572$	15.5433	−	21.7401i	0.649898	−	0.908998i
$573$	−27.6709	−	16.5687i	−1.15597	−	0.692168i
$574$	−4.65573	+	5.49341i	−0.194326	+	0.229291i
$575$	31.0443			1.29464
$576$	13.2515	−	20.0100i	0.552144	−	0.833749i
$577$	−29.9503			−1.24685			−0.623423	−	0.781885i	$-0.714258\pi$
$577$	−29.9503			−1.24685			−0.623423	+	0.781885i	$0.714258\pi$
$578$	−6.67815	+	7.87972i	−0.277774	+	0.327753i
$579$	12.4272	+	7.44114i	0.516459	+	0.309243i
$580$	−17.0825	−	12.2133i	−0.709310	−	0.507129i
$581$	2.40766	−	12.1041i	0.0998864	−	0.502163i
$582$	9.39653	−	3.19997i	0.389499	−	0.132643i
$583$	20.0335	+	8.29814i	0.829702	+	0.343674i
$584$	−9.68472	−	1.42060i	−0.400757	−	0.0587850i
$585$	66.1117	−	35.4126i	2.73338	−	1.46413i
$586$	12.2830	+	15.4594i	0.507406	+	0.638621i
$587$	−8.63025	−	12.9161i	−0.356209	−	0.533104i	0.609482	−	0.792800i	$-0.291378\pi$
$587$	−8.63025	−	12.9161i	−0.356209	−	0.533104i	−0.965690	+	0.259696i	$0.916378\pi$
$588$	5.55080	−	2.41638i	0.228911	−	0.0996499i
$589$	−4.69249	+	0.933395i	−0.193351	+	0.0384599i
$590$	−4.53316	+	2.33156i	−0.186627	+	0.0959889i
$591$	−16.9283	+	18.6941i	−0.696339	+	0.768974i
$592$	−2.08859	−	15.6046i	−0.0858407	−	0.641345i
$593$	16.3306	+	16.3306i	0.670617	+	0.670617i	0.957858	−	0.287241i	$-0.0927380\pi$
$593$	16.3306	+	16.3306i	0.670617	+	0.670617i	−0.287241	+	0.957858i	$0.592738\pi$
$594$	−14.6598	−	2.39229i	−0.601501	−	0.0981567i
$595$	−26.4692	+	5.26504i	−1.08513	+	0.215846i
$596$	17.7145	−	16.6273i	0.725613	−	0.681080i
$597$	4.92671	+	6.63678i	0.201637	+	0.271625i
$598$	31.0015	+	3.54952i	1.26775	+	0.145151i
$599$	−23.4993	+	9.73373i	−0.960155	+	0.397709i	−0.807038	−	0.590499i	$-0.798931\pi$
$599$	−23.4993	+	9.73373i	−0.960155	+	0.397709i	−0.153117	+	0.988208i	$0.548931\pi$
$600$	−45.3372	+	4.55953i	−1.85088	+	0.186142i
$601$	−23.2857	−	9.64525i	−0.949844	−	0.393438i	−0.146672	−	0.989185i	$-0.546856\pi$
$601$	−23.2857	−	9.64525i	−0.949844	−	0.393438i	−0.803172	+	0.595747i	$0.796856\pi$
$602$	−10.6826	+	19.2468i	−0.435389	+	0.784440i
$603$	−19.9857	−	1.95059i	−0.813882	−	0.0794343i
$604$	4.65026	−	2.89867i	0.189216	−	0.117945i
$605$	−21.7406	−	14.5266i	−0.883882	−	0.590591i
$606$	−1.77811	−	13.4045i	−0.0722309	−	0.544523i
$607$	−6.82575			−0.277049			−0.138524	−	0.990359i	$-0.544236\pi$
$607$	−6.82575			−0.277049			−0.138524	+	0.990359i	$0.544236\pi$
$608$	−6.81352	−	1.22082i	−0.276325	−	0.0495106i
$609$	0.545650	+	11.0077i	0.0221109	+	0.446056i
$610$	−41.5688	+	3.43098i	−1.68307	+	0.138916i
$611$	−27.1452	+	40.6256i	−1.09818	+	1.64354i
$612$	−18.5283	−	2.40234i	−0.748960	−	0.0971088i
$613$	5.57828	−	28.0439i	0.225305	−	1.13268i	−0.688096	−	0.725620i	$-0.741553\pi$
$613$	5.57828	−	28.0439i	0.225305	−	1.13268i	0.913400	−	0.407062i	$-0.133447\pi$
$614$	−15.0114	+	27.0460i	−0.605811	+	1.09149i
$615$	13.7041	+	4.89657i	0.552602	+	0.197449i
$616$	12.3439	+	4.39424i	0.497351	+	0.177049i
$617$	−0.107691	−	0.259989i	−0.00433547	−	0.0104667i	0.921697	−	0.387911i	$-0.126803\pi$
$617$	−0.107691	−	0.259989i	−0.00433547	−	0.0104667i	−0.926032	+	0.377444i	$0.876803\pi$
$618$	−37.9947	−	2.45289i	−1.52837	−	0.0986698i
$619$	−16.5250	−	24.7314i	−0.664195	−	0.994038i	−0.998666	−	0.0516321i	$-0.983558\pi$
$619$	−16.5250	−	24.7314i	−0.664195	−	0.994038i	0.334471	−	0.942406i	$-0.391442\pi$
$620$	29.5575	+	0.935742i	1.18706	+	0.0375803i
$621$	−5.86439	−	16.3217i	−0.235330	−	0.654965i
$622$	−1.90621	+	5.94368i	−0.0764320	+	0.238320i
$623$	8.57856	−	8.57856i	0.343693	−	0.343693i
$624$	−45.7960	−	0.630481i	−1.83331	−	0.0252394i
$625$	10.6101	+	10.6101i	0.424404	+	0.424404i
$626$	−13.1104	+	6.74315i	−0.523998	+	0.269511i
$627$	1.04278	+	4.15524i	0.0416448	+	0.165944i
$628$	−26.3110	−	11.8872i	−1.04992	−	0.474352i
$629$	−10.1906	+	6.80911i	−0.406324	+	0.271497i
$630$	25.6093	+	26.3862i	1.02030	+	1.05125i
$631$	23.8880	−	9.89474i	0.950967	−	0.393904i	0.147373	−	0.989081i	$-0.452918\pi$
$631$	23.8880	−	9.89474i	0.950967	−	0.393904i	0.803594	+	0.595177i	$0.202918\pi$
$632$	7.48106	+	29.6626i	0.297581	+	1.17992i
$633$	−42.0932	−	15.0402i	−1.67306	−	0.597795i
$634$	−2.45367	+	0.702112i	−0.0974476	+	0.0278844i
$635$	−45.3506	−	9.02080i	−1.79968	−	0.357979i
$636$	−7.90037	−	36.3119i	−0.313270	−	1.43986i
$637$	−9.60599	−	6.41852i	−0.380603	−	0.254311i
$638$	5.13151	−	6.05480i	0.203159	−	0.239712i
$639$	33.8274	−	3.36189i	1.33819	−	0.132994i
$640$	39.3187	+	16.8695i	1.55421	+	0.666825i
$641$		−	33.6560i		−	1.32933i	−0.747141	−	0.664666i	$-0.768574\pi$
$641$		−	33.6560i		−	1.32933i	0.747141	−	0.664666i	$-0.231426\pi$
$642$	−20.8995	−	16.0042i	−0.824836	−	0.631635i
$643$	10.9875	−	16.4440i	0.433306	−	0.648488i	−0.548989	−	0.835830i	$-0.684987\pi$
$643$	10.9875	−	16.4440i	0.433306	−	0.648488i	0.982295	+	0.187342i	$0.0599871\pi$
$644$	2.50835	+	15.0917i	0.0988430	+	0.594697i
$645$	44.0075	+	6.50802i	1.73279	+	0.256253i
$646$	1.48244	+	5.18068i	0.0583259	+	0.203831i
$647$	9.18900	−	22.1842i	0.361257	−	0.872152i	−0.633860	−	0.773448i	$-0.718530\pi$
$647$	9.18900	−	22.1842i	0.361257	−	0.872152i	0.995117	−	0.0987037i	$-0.0314696\pi$
$648$	10.9616	+	22.9749i	0.430611	+	0.902538i
$649$	−0.737304	−	1.78001i	−0.0289417	−	0.0698715i
$650$	54.0935	+	68.0820i	2.12172	+	2.67040i
$651$	−9.25114	−	12.4622i	−0.362581	−	0.488433i
$652$	−2.81234	+	6.22480i	−0.110140	+	0.243782i
$653$	8.51594	+	42.8125i	0.333254	+	1.67538i	0.676738	+	0.736224i	$0.263393\pi$
$653$	8.51594	+	42.8125i	0.333254	+	1.67538i	−0.343483	+	0.939159i	$0.611607\pi$
$654$	−21.8696	+	12.6550i	−0.855169	+	0.494850i
$655$	47.1294	−	47.1294i	1.84150	−	1.84150i
$656$	−5.87399	−	6.66897i	−0.229341	−	0.260379i
$657$	6.57926	−	8.03131i	0.256681	−	0.313331i
$658$	−22.8107	−	7.31566i	−0.889254	−	0.285194i
$659$	−9.06999	−	45.5979i	−0.353317	−	1.77624i	−0.592807	−	0.805345i	$-0.701980\pi$
$659$	−9.06999	−	45.5979i	−0.353317	−	1.77624i	0.239490	−	0.970899i	$-0.423020\pi$
$660$	−0.473472	−	26.4756i	−0.0184299	−	1.03056i
$661$	−8.73639	+	5.83747i	−0.339806	+	0.227051i	−0.713751	−	0.700400i	$-0.753005\pi$
$661$	−8.73639	+	5.83747i	−0.339806	+	0.227051i	0.373944	+	0.927451i	$0.378005\pi$
$662$	−36.2881	−	4.15481i	−1.41038	−	0.161481i
$663$	15.2584	+	32.2244i	0.592588	+	1.25149i
$664$	14.3488	+	5.10796i	0.556843	+	0.198227i
$665$	4.05845	−	9.79798i	0.157380	−	0.379949i
$666$	15.3305	+	6.62011i	0.594043	+	0.256524i
$667$	9.08895	+	1.80791i	0.351926	+	0.0700024i
$668$	0.756336	−	3.25962i	0.0292635	−	0.126119i
$669$	−13.0215	−	7.79698i	−0.503441	−	0.301448i
$670$	−2.94465	−	35.6765i	−0.113762	−	1.37830i
$671$		−	15.7645i		−	0.608583i
$672$	−5.87975	−	21.6716i	−0.226816	−	0.835999i
$673$		−	8.71399i		−	0.335900i	−0.985796	−	0.167950i	$-0.946285\pi$
$673$		−	8.71399i		−	0.335900i	0.985796	−	0.167950i	$-0.0537147\pi$
$674$	24.2397	−	2.00069i	0.933680	−	0.0770637i
$675$	20.6058	−	43.7171i	0.793117	−	1.68267i
$676$	32.4811	+	52.1085i	1.24927	+	2.00417i
$677$	30.8028	+	6.12706i	1.18385	+	0.235482i	0.747479	−	0.664286i	$-0.231264\pi$
$677$	30.8028	+	6.12706i	1.18385	+	0.235482i	0.436369	+	0.899768i	$0.356264\pi$
$678$	−5.92073	−	2.91257i	−0.227384	−	0.111856i
$679$	3.55416	−	8.58049i	0.136396	−	0.329289i
$680$	−1.68804	−	33.2640i	−0.0647333	−	1.27562i
$681$	12.8188	−	6.06979i	0.491219	−	0.232595i
$682$	−1.27141	+	11.1045i	−0.0486846	+	0.425212i
$683$	−5.28552	+	3.53167i	−0.202245	+	0.135136i	−0.652569	−	0.757730i	$-0.726309\pi$
$683$	−5.28552	+	3.53167i	−0.202245	+	0.135136i	0.450324	+	0.892865i	$0.351309\pi$
$684$	4.83003	−	5.52943i	0.184681	−	0.211423i
$685$	11.9310	+	59.9810i	0.455859	+	2.29176i
$686$	8.65841	−	26.9975i	0.330580	−	1.03077i
$687$	12.5159	−	13.8214i	0.477510	−	0.527319i
$688$	−21.5885	−	16.4916i	−0.823053	−	0.628738i
$689$	−50.1458	+	50.1458i	−1.91040	+	1.91040i
$690$	26.7604	−	15.4851i	1.01875	−	0.589509i
$691$	6.92036	+	34.7910i	0.263263	+	1.32351i	0.855523	+	0.517765i	$0.173236\pi$
$691$	6.92036	+	34.7910i	0.263263	+	1.32351i	−0.592260	+	0.805747i	$0.701764\pi$
$692$	7.93246	+	21.0074i	0.301547	+	0.798581i
$693$	−10.7352	+	8.82601i	−0.407795	+	0.335272i
$694$	−2.78375	+	2.21179i	−0.105670	+	0.0839583i
$695$	−17.4247	−	42.0670i	−0.660957	−	1.59569i
$696$	−13.5391	−	1.30536i	−0.513197	−	0.0494795i
$697$	−2.64752	+	6.39167i	−0.100282	+	0.242102i
$698$	32.0174	−	9.16170i	1.21188	−	0.346775i
$699$	−3.47831	+	23.5205i	−0.131562	+	0.889626i
$700$	−24.7952	+	34.6805i	−0.937171	+	1.31080i
$701$	−15.3203	+	22.9284i	−0.578639	+	0.865994i	−0.999147	−	0.0412948i	$-0.986852\pi$
$701$	−15.3203	+	22.9284i	−0.578639	+	0.865994i	0.420508	+	0.907289i	$0.361852\pi$
$702$	25.5758	−	41.3008i	0.965298	−	1.55880i
$703$		−	4.81622i		−	0.181647i
$704$	−7.57670	+	14.2859i	−0.285558	+	0.538419i
$705$	2.39681	+	48.3524i	0.0902693	+	1.82106i
$706$	1.67186	+	1.41692i	0.0629212	+	0.0533264i
$707$	−10.5193	−	7.02880i	−0.395621	−	0.264345i
$708$	−1.78503	+	2.77775i	−0.0670856	+	0.104394i
$709$	14.0908	+	2.80283i	0.529191	+	0.105263i	0.452452	−	0.891789i	$-0.350549\pi$
$709$	14.0908	+	2.80283i	0.529191	+	0.105263i	0.0767385	+	0.997051i	$0.475549\pi$
$710$	16.6718	+	58.2629i	0.625681	+	2.18657i
$711$	−31.0583	−	9.39147i	−1.16478	−	0.352208i
$712$	8.93857	+	12.0117i	0.334987	+	0.450156i
$713$	−12.0569	+	4.99412i	−0.451533	+	0.187031i
$714$	−13.1313	+	11.5387i	−0.491427	+	0.431823i
$715$	−42.0164	+	28.0744i	−1.57132	+	1.04992i
$716$	−1.29622	−	3.43277i	−0.0484422	−	0.128289i
$717$	34.2916	−	8.60571i	1.28064	−	0.321386i
$718$	6.79969	+	13.2203i	0.253762	+	0.493379i
$719$	21.0905	+	21.0905i	0.786545	+	0.786545i	0.980926	−	0.194381i	$-0.0622699\pi$
$719$	21.0905	+	21.0905i	0.786545	+	0.786545i	−0.194381	+	0.980926i	$0.562270\pi$
$720$	−36.8066	+	26.5449i	−1.37170	+	0.989269i
$721$	−25.1891	+	25.1891i	−0.938092	+	0.938092i
$722$	23.5700	+	7.55918i	0.877185	+	0.281323i
$723$	−0.912945	−	3.63786i	−0.0339528	−	0.135293i
$724$	21.1202	−	19.8239i	0.784925	−	0.736751i
$725$	14.3471	+	21.4720i	0.532839	+	0.797450i
$726$	−16.9010	−	1.09111i	−0.627256	−	0.0404950i
$727$	−13.2354	−	31.9530i	−0.490872	−	1.18507i	−0.954277	−	0.298923i	$-0.903372\pi$
$727$	−13.2354	−	31.9530i	−0.490872	−	1.18507i	0.463405	−	0.886147i	$-0.346628\pi$
$728$	−28.7263	+	31.7977i	−1.06467	+	1.17850i
$729$	−26.8769	−	2.57522i	−0.995441	−	0.0953786i
$730$	16.1827	+	8.98190i	0.598949	+	0.332435i
$731$	−4.12589	+	20.7423i	−0.152602	+	0.767180i
$732$	−22.1916	+	15.4089i	−0.820225	+	0.569531i
$733$	6.99739	−	10.4723i	0.258455	−	0.386805i	−0.679437	−	0.733734i	$-0.737776\pi$
$733$	6.99739	−	10.4723i	0.258455	−	0.386805i	0.937891	+	0.346930i	$0.112776\pi$
$734$	−0.354656	−	4.29690i	−0.0130906	−	0.158602i
$735$	−11.4330	+	0.566731i	−0.421713	+	0.0209042i
$736$	−18.8775	+	0.359762i	−0.695833	+	0.0132610i
$737$	13.5300			0.498383
$738$	9.27142	−	1.70062i	0.341286	−	0.0626006i
$739$	−2.40827	−	1.60916i	−0.0885897	−	0.0591938i	0.510486	−	0.859886i	$-0.329465\pi$
$739$	−2.40827	−	1.60916i	−0.0885897	−	0.0591938i	−0.599076	+	0.800692i	$0.704465\pi$
$740$	−6.72858	+	28.9985i	−0.247347	+	1.06601i
$741$	−13.8602	−	2.04971i	−0.509167	−	0.0752979i
$742$	−30.4005	−	16.8732i	−1.11604	−	0.619436i
$743$	12.8420	+	5.31933i	0.471127	+	0.195147i	0.605599	−	0.795770i	$-0.292934\pi$
$743$	12.8420	+	5.31933i	0.471127	+	0.195147i	−0.134472	+	0.990917i	$0.542934\pi$
$744$	16.8744	−	9.06423i	0.618645	−	0.332311i
$745$	−42.4419	+	17.5800i	−1.55495	+	0.644082i
$746$	2.73903	−	23.9227i	0.100283	−	0.875872i
$747$	−12.4788	+	10.2595i	−0.456575	+	0.375377i
$748$	12.5822	+	0.398330i	0.460049	+	0.0145644i
$749$	−24.1556	+	4.80485i	−0.882628	+	0.175566i
$750$	38.4944	+	10.2741i	1.40562	+	0.375157i
$751$	−23.2761	−	23.2761i	−0.849357	−	0.849357i	0.140696	−	0.990053i	$-0.455066\pi$
$751$	−23.2761	−	23.2761i	−0.849357	−	0.849357i	−0.990053	+	0.140696i	$0.955066\pi$
$752$	13.0187	−	26.5434i	0.474744	−	0.967938i
$753$	−17.0366	−	15.4274i	−0.620848	−	0.562205i
$754$	11.8723	+	23.0828i	0.432364	+	0.840626i
$755$	−10.1622	+	2.02138i	−0.369839	+	0.0735655i
$756$	22.9173	+	6.48488i	0.833494	+	0.235853i
$757$	16.0279	+	23.9875i	0.582545	+	0.871840i	0.999309	−	0.0371749i	$-0.0118359\pi$
$757$	16.0279	+	23.9875i	0.582545	+	0.871840i	−0.416764	+	0.909015i	$0.636836\pi$
$758$	−11.6250	+	9.23646i	−0.422239	+	0.335483i
$759$	5.00087	+	10.5614i	0.181520	+	0.383354i
$760$	11.2372	+	6.71066i	0.407616	+	0.243421i
$761$	20.1599	+	8.35050i	0.730796	+	0.302706i	0.716879	−	0.697198i	$-0.245570\pi$
$761$	20.1599	+	8.35050i	0.730796	+	0.302706i	0.0139168	+	0.999903i	$0.495570\pi$
$762$	−28.3513	+	9.65498i	−1.02706	+	0.349763i
$763$	−4.61205	+	23.1863i	−0.166967	+	0.839402i
$764$	−6.10607	−	36.7376i	−0.220910	−	1.32912i
$765$	31.1705	+	16.6256i	1.12697	+	0.601100i
$766$	28.7590	+	24.3736i	1.03910	+	0.880652i
$767$	6.30109			0.227519
$768$	27.5159	−	3.29796i	0.992894	−	0.119005i
$769$	2.83222			0.102132			0.0510662	−	0.998695i	$-0.483738\pi$
$769$	2.83222			0.102132			0.0510662	+	0.998695i	$0.483738\pi$
$770$	−18.9004	−	16.0183i	−0.681123	−	0.577259i
$771$	−14.0979	+	23.5444i	−0.507722	+	0.847932i
$772$	2.74228	+	16.4992i	0.0986970	+	0.593818i
$773$	−1.30315	+	6.55138i	−0.0468711	+	0.235637i	−0.997119	−	0.0758592i	$-0.975830\pi$
$773$	−1.30315	+	6.55138i	−0.0468711	+	0.235637i	0.950247	+	0.311496i	$0.100830\pi$
$774$	26.7831	−	10.6280i	0.962700	−	0.382015i
$775$	−33.5986	−	13.9170i	−1.20690	−	0.499913i
$776$	9.84087	+	5.87680i	0.353267	+	0.210965i
$777$	14.1208	−	6.68627i	0.506581	−	0.239869i
$778$	−3.46000	+	2.74909i	−0.124047	+	0.0985597i
$779$	−1.51040	−	2.26048i	−0.0541158	−	0.0809900i
$780$	80.5888	+	31.7049i	2.88554	+	1.13522i
$781$	−22.4644	+	4.46845i	−0.803840	+	0.159894i
$782$	6.72274	+	13.0707i	0.240405	+	0.467408i
$783$	8.57875	−	11.5992i	0.306579	−	0.414522i
$784$	6.27623	+	3.07830i	0.224151	+	0.109939i
$785$	38.6022	+	38.6022i	1.37777	+	1.37777i
$786$	11.1327	−	41.7115i	0.397092	−	1.48780i
$787$	−31.6313	+	6.29187i	−1.12754	+	0.224281i	−0.723407	−	0.690422i	$-0.757425\pi$
$787$	−31.6313	+	6.29187i	−1.12754	+	0.224281i	−0.404128	+	0.914702i	$0.632425\pi$
$788$	−29.1068	−	0.921471i	−1.03689	−	0.0328260i
$789$	−20.4672	+	15.1935i	−0.728650	+	0.540903i
$790$	6.57981	−	57.4681i	0.234099	−	2.04462i
$791$	−5.70364	+	2.36253i	−0.202798	+	0.0840017i
$792$	−8.85445	−	14.6894i	−0.314629	−	0.521964i
$793$	47.6327	+	19.7301i	1.69149	+	0.700636i
$794$	−16.4514	−	9.13106i	−0.583840	−	0.324049i
$795$	−10.2795	+	69.5103i	−0.364576	+	2.46528i
$796$	−2.15726	+	9.29724i	−0.0764619	+	0.329532i
$797$	12.1467	+	8.11614i	0.430257	+	0.287488i	0.751781	−	0.659413i	$-0.229195\pi$
$797$	12.1467	+	8.11614i	0.430257	+	0.287488i	−0.321524	+	0.946901i	$0.604195\pi$
$798$	−0.903299	−	6.80964i	−0.0319764	−	0.241059i
$799$	−23.0149			−0.814208
$800$	−37.9065	−	36.4887i	−1.34020	−	1.29007i
$801$	−15.8030	+	1.57056i	−0.558370	+	0.0554929i
$802$	0.451818	+	5.47409i	0.0159543	+	0.193297i
$803$	−3.88636	+	5.81635i	−0.137147	+	0.205255i
$804$	−13.2248	−	19.0460i	−0.466402	−	0.671701i
$805$	5.64347	−	28.3716i	0.198906	−	0.999969i
$806$	−31.9610	−	17.7394i	−1.12578	−	0.624842i
$807$	3.55953	−	9.96208i	0.125301	−	0.350682i
$808$	10.4669	−	11.5860i	0.368224	−	0.407594i
$809$	2.78311	+	6.71902i	0.0978489	+	0.236228i	0.965223	−	0.261429i	$-0.0841938\pi$
$809$	2.78311	+	6.71902i	0.0978489	+	0.236228i	−0.867374	+	0.497657i	$0.834194\pi$
$810$	−4.04408	−	47.9627i	−0.142095	−	1.68524i
$811$	16.6984	+	24.9910i	0.586361	+	0.877552i	0.999451	−	0.0331387i	$-0.0105503\pi$
$811$	16.6984	+	24.9910i	0.586361	+	0.877552i	−0.413089	+	0.910690i	$0.635550\pi$
$812$	−9.27905	+	8.70956i	−0.325631	+	0.305646i
$813$	−8.45077	+	2.12078i	−0.296381	+	0.0743789i
$814$	−10.7138	−	3.43604i	−0.375518	−	0.120433i
$815$	9.13272	−	9.13272i	0.319905	−	0.319905i
$816$	−11.7376	−	18.1011i	−0.410899	−	0.633667i
$817$	−5.87655	−	5.87655i	−0.205594	−	0.205594i
$818$	5.57599	+	10.8412i	0.194960	+	0.379052i
$819$	−13.2323	−	43.4826i	−0.462373	−	1.51940i
$820$	5.93611	+	15.7205i	0.207298	+	0.548983i
$821$	−11.7978	+	7.88301i	−0.411745	+	0.275119i	−0.744143	−	0.668020i	$-0.767142\pi$
$821$	−11.7978	+	7.88301i	−0.411745	+	0.275119i	0.332399	+	0.943139i	$0.392142\pi$
$822$	26.1474	+	29.7565i	0.911996	+	1.03788i
$823$	9.62463	−	3.98665i	0.335494	−	0.138966i	−0.208576	−	0.978006i	$-0.566883\pi$
$823$	9.62463	−	3.98665i	0.335494	−	0.138966i	0.544069	+	0.839040i	$0.316883\pi$
$824$	−26.2462	−	35.2697i	−0.914330	−	1.22868i
$825$	−10.9568	+	30.6650i	−0.381468	+	1.06762i
$826$	0.849887	+	2.97010i	0.0295714	+	0.103343i
$827$	17.8043	+	3.54149i	0.619116	+	0.123150i	0.494676	−	0.869077i	$-0.335287\pi$
$827$	17.8043	+	3.54149i	0.619116	+	0.123150i	0.124440	+	0.992227i	$0.460287\pi$
$828$	9.97909	−	17.3628i	0.346797	−	0.603400i
$829$	10.9731	+	7.33196i	0.381110	+	0.254650i	0.731338	−	0.682015i	$-0.238896\pi$
$829$	10.9731	+	7.33196i	0.381110	+	0.254650i	−0.350228	+	0.936664i	$0.613896\pi$
$830$	−21.9702	−	18.6200i	−0.762597	−	0.646309i
$831$	−31.3619	+	1.55460i	−1.08793	+	0.0539285i
$832$	−33.6822	−	40.7725i	−1.16772	−	1.41353i
$833$		−	5.44191i		−	0.188551i
$834$	−23.4159	−	17.9312i	−0.810825	−	0.620906i
$835$	−3.51518	+	5.26084i	−0.121648	+	0.182059i
$836$	−2.87709	+	4.02412i	−0.0995063	+	0.139177i
$837$	−0.969996	+	20.2935i	−0.0335280	+	0.701447i
$838$	−5.99289	+	1.71485i	−0.207021	+	0.0592386i
$839$	4.69146	−	11.3262i	0.161967	−	0.391024i	−0.821972	−	0.569528i	$-0.807126\pi$
$839$	4.69146	−	11.3262i	0.161967	−	0.391024i	0.983939	+	0.178505i	$0.0571259\pi$
$840$	−4.07474	+	42.2629i	−0.140592	+	1.45821i
$841$	−8.14781	−	19.6705i	−0.280959	−	0.678295i
$842$	44.5828	−	35.4226i	1.53642	−	1.22074i
$843$	36.7194	−	27.2581i	1.26468	−	0.938819i
$844$	−18.2333	−	48.2868i	−0.627615	−	1.66210i
$845$	−22.6506	−	113.872i	−0.779204	−	3.91732i
$846$	17.0298	+	26.3302i	0.585498	+	0.905250i
$847$	−11.2048	+	11.2048i	−0.385001	+	0.385001i
$848$	26.0487	−	34.0992i	0.894518	−	1.17097i
$849$	−4.76554	−	4.31540i	−0.163553	−	0.148104i
$850$	−12.5086	+	39.0026i	−0.429041	+	1.33778i
$851$	−2.56290	−	12.8846i	−0.0878551	−	0.441677i
$852$	28.2479	+	27.2553i	0.967757	+	0.933752i
$853$	−6.58018	+	4.39673i	−0.225301	+	0.150541i	−0.663098	−	0.748532i	$-0.730759\pi$
$853$	−6.58018	+	4.39673i	−0.225301	+	0.150541i	0.437797	+	0.899074i	$0.355759\pi$
$854$	−2.87537	+	25.1135i	−0.0983930	+	0.859365i
$855$	−12.2374	+	6.55493i	−0.418510	+	0.224174i
$856$	−1.54050	−	30.3566i	−0.0526531	−	1.03757i
$857$	−11.2472	+	27.1533i	−0.384199	+	0.927538i	0.606945	+	0.794744i	$0.292395\pi$
$857$	−11.2472	+	27.1533i	−0.384199	+	0.927538i	−0.991144	+	0.132794i	$0.957605\pi$
$858$	−14.4479	+	29.3700i	−0.493243	+	1.00267i
$859$	19.9300	+	3.96432i	0.680002	+	0.135261i	0.522994	−	0.852337i	$-0.324815\pi$
$859$	19.9300	+	3.96432i	0.680002	+	0.135261i	0.157008	+	0.987597i	$0.449815\pi$
$860$	27.1728	+	43.5927i	0.926585	+	1.48650i
$861$	4.53068	−	7.56657i	0.154405	−	0.257868i
$862$	32.0831	−	2.64806i	1.09276	−	0.0901934i
$863$			4.79400i			0.163190i	0.996666	+	0.0815948i	$0.0260013\pi$
$863$			4.79400i			0.163190i	−0.996666	+	0.0815948i	$0.973999\pi$
$864$	−12.0234	+	26.8224i	−0.409043	+	0.912515i
$865$		−	42.4591i		−	1.44365i
$866$	−1.51415	−	18.3449i	−0.0514528	−	0.623387i
$867$	6.49878	−	10.8534i	0.220710	−	0.368602i
$868$	4.05079	−	17.4579i	0.137493	−	0.592560i
$869$	21.4422	+	4.26511i	0.727376	+	0.144684i
$870$	23.0777	+	11.3526i	0.782408	+	0.384888i
$871$	−16.9334	+	40.8809i	−0.573767	+	1.38520i
$872$	−27.4863	−	9.78469i	−0.930804	−	0.331352i
$873$	−10.7168	+	5.74042i	−0.362708	+	0.194284i
$874$	−5.73843	−	0.657022i	−0.194105	−	0.0222241i
$875$	30.9948	−	20.7100i	1.04781	−	0.700127i
$876$	11.9863	−	0.214356i	0.404981	−	0.00724241i
$877$	2.56266	+	12.8834i	0.0865349	+	0.435040i	0.999628	+	0.0272882i	$0.00868720\pi$
$877$	2.56266	+	12.8834i	0.0865349	+	0.435040i	−0.913093	+	0.407752i	$0.866313\pi$
$878$	36.2074	+	11.6121i	1.22194	+	0.391891i
$879$	−17.9253	−	16.2321i	−0.604604	−	0.547495i
$880$	22.9450	−	20.2098i	0.773474	−	0.681272i
$881$	21.6688	−	21.6688i	0.730039	−	0.730039i	−0.240588	−	0.970627i	$-0.577340\pi$
$881$	21.6688	−	21.6688i	0.730039	−	0.730039i	0.970627	+	0.240588i	$0.0773402\pi$
$882$	−6.22582	+	4.02673i	−0.209634	+	0.135587i
$883$	−6.14906	−	30.9134i	−0.206932	−	1.04032i	−0.934955	−	0.354766i	$-0.884561\pi$
$883$	−6.14906	−	30.9134i	−0.206932	−	1.04032i	0.728023	−	0.685553i	$-0.240439\pi$
$884$	−16.9508	+	37.5186i	−0.570116	+	1.26189i
$885$	5.01301	−	3.72133i	0.168510	−	0.125091i
$886$	−29.0790	−	36.5988i	−0.976930	−	1.22956i
$887$	8.30392	+	20.0474i	0.278818	+	0.673127i	0.999803	−	0.0198234i	$-0.00631040\pi$
$887$	8.30392	+	20.0474i	0.278818	+	0.673127i	−0.720985	+	0.692951i	$0.756310\pi$
$888$	5.63524	+	18.4402i	0.189106	+	0.618814i
$889$	−10.7236	+	25.8891i	−0.359659	+	0.868294i
$890$	−7.78847	−	27.2183i	−0.261070	−	0.912361i
$891$	18.1920	−	0.0321504i	0.609456	−	0.00107708i
$892$	−2.87342	−	17.2882i	−0.0962092	−	0.578850i
$893$	5.02461	−	7.51987i	0.168142	−	0.251643i
$894$	−18.0910	+	23.6246i	−0.605053	+	0.790123i
$895$			6.93814i			0.231916i
$896$	14.6756	−	21.3759i	0.490278	−	0.714120i
$897$	−38.1701	+	1.89208i	−1.27446	+	0.0631748i
$898$	21.5113	−	25.3817i	0.717840	−	0.846998i
$899$	−9.02630	−	6.03118i	−0.301044	−	0.201151i
$900$	53.8766	−	14.5495i	1.79589	−	0.484983i
$901$	−32.7627	−	6.51690i	−1.09148	−	0.217109i
$902$	−6.10605	+	1.74723i	−0.203309	+	0.0581765i
$903$	9.07128	−	25.3879i	0.301873	−	0.844856i
$904$	−1.86323	−	7.38777i	−0.0619701	−	0.245713i
$905$	−50.6016	+	20.9599i	−1.68205	+	0.696729i
$906$	−5.04144	+	4.42997i	−0.167491	+	0.147176i
$907$	−44.1084	+	29.4723i	−1.46460	+	0.978612i	−0.469168	+	0.883109i	$0.655446\pi$
$907$	−44.1084	+	29.4723i	−1.46460	+	0.978612i	−0.995429	+	0.0955034i	$0.969554\pi$
$908$	14.9249	+	6.74300i	0.495299	+	0.223774i
$909$	4.82140	+	15.8436i	0.159916	+	0.525499i
$910$	72.0542	−	37.0600i	2.38857	−	1.22853i
$911$	8.52803	+	8.52803i	0.282546	+	0.282546i	0.834124	−	0.551577i	$-0.185974\pi$
$911$	8.52803	+	8.52803i	0.282546	+	0.282546i	−0.551577	+	0.834124i	$0.685974\pi$
$912$	8.47692	+	0.116703i	0.280699	+	0.00386442i
$913$	7.69671	−	7.69671i	0.254724	−	0.254724i
$914$	−16.4029	+	51.1454i	−0.542561	+	1.69174i
$915$	49.5478	−	12.4344i	1.63800	−	0.411067i
$916$	21.5199	+	0.681284i	0.711038	+	0.0225102i
$917$	−22.4409	−	33.5851i	−0.741062	−	1.10908i
$918$	22.8686	−	0.791319i	0.754778	−	0.0261174i
$919$	−1.87640	−	4.53004i	−0.0618968	−	0.149432i	0.889905	−	0.456146i	$-0.150771\pi$
$919$	−1.87640	−	4.53004i	−0.0618968	−	0.149432i	−0.951802	+	0.306714i	$0.900771\pi$
$920$	33.6332	+	11.9729i	1.10886	+	0.394735i
$921$	12.7472	−	35.6757i	0.420034	−	1.17555i
$922$	−19.5974	+	35.3086i	−0.645406	+	1.16283i
$923$	14.6139	−	73.4689i	0.481022	−	2.41826i
$924$	−15.7926	−	2.84879i	−0.519540	−	0.0937184i
$925$	20.3386	−	30.4389i	0.668729	−	1.00082i
$926$	33.9347	−	2.80089i	1.11516	−	0.0920428i
$927$	46.4020	−	4.61161i	1.52404	−	0.151465i
$928$	−8.97306	−	12.8905i	−0.294555	−	0.423150i
$929$	−35.4023			−1.16151			−0.580756	−	0.814078i	$-0.697243\pi$
$929$	−35.4023			−1.16151			−0.580756	+	0.814078i	$0.697243\pi$
$930$	−35.9041	+	4.76268i	−1.17734	+	0.156174i
$931$	1.77809	+	1.18808i	0.0582744	+	0.0389377i
$932$	−23.2988	+	14.5229i	−0.763176	+	0.475714i
$933$	1.11837	−	7.56246i	0.0366138	−	0.247584i
$934$	−10.1971	+	18.3722i	−0.333660	+	0.601155i
$935$	−21.9909	−	9.10893i	−0.719179	−	0.297894i
$936$	55.4658	−	8.36932i	1.81296	−	0.273560i
$937$	−40.1504	+	16.6308i	−1.31166	+	0.543305i	−0.925367	−	0.379073i	$-0.876243\pi$
$937$	−40.1504	+	16.6308i	−1.31166	+	0.543305i	−0.386289	+	0.922378i	$0.626243\pi$
$938$	−21.5537	−	2.46779i	−0.703754	−	0.0805763i
$939$	14.4982	−	10.7625i	0.473131	−	0.351222i
$940$	−40.7590	+	38.2575i	−1.32941	+	1.24782i
$941$	28.2642	−	5.62211i	0.921388	−	0.183275i	0.288465	−	0.957490i	$-0.406855\pi$
$941$	28.2642	−	5.62211i	0.921388	−	0.183275i	0.632923	+	0.774215i	$0.281855\pi$
$942$	34.1645	+	9.11847i	1.11314	+	0.297096i
$943$	−5.24359	−	5.24359i	−0.170755	−	0.170755i
$944$	−3.77896	+	0.505794i	−0.122995	+	0.0164622i
$945$	−36.2075	−	26.7790i	−1.17783	−	0.871121i
$946$	−17.2650	+	8.88000i	−0.561334	+	0.288714i
$947$	−21.6585	+	4.30815i	−0.703808	+	0.139996i	−0.534004	−	0.845482i	$-0.679313\pi$
$947$	−21.6585	+	4.30815i	−0.703808	+	0.139996i	−0.169804	+	0.985478i	$0.554313\pi$
$948$	−14.9545	−	34.3529i	−0.485701	−	1.11573i
$949$	−12.7102	−	19.0221i	−0.412590	−	0.617485i
$950$	−10.0128	−	12.6021i	−0.324858	−	0.408866i
$951$	2.82503	−	1.33767i	0.0916080	−	0.0433769i
$952$	−19.9712	−	2.92947i	−0.647270	−	0.0949448i
$953$	38.6427	+	16.0063i	1.25176	+	0.518496i	0.907371	−	0.420331i	$-0.138086\pi$
$953$	38.6427	+	16.0063i	1.25176	+	0.518496i	0.344389	+	0.938827i	$0.388086\pi$
$954$	16.7870	+	42.3043i	0.543500	+	1.36965i
$955$	−13.7379	+	69.0648i	−0.444546	+	2.23489i
$956$	33.2096	+	23.7435i	1.07407	+	0.767921i
$957$	−4.99369	+	8.33982i	−0.161423	+	0.269588i
$958$	−39.0847	+	46.1171i	−1.26277	+	1.48997i
$959$	37.0623			1.19681
$960$	−50.8765	−	12.5455i	−1.64203	−	0.404904i
$961$	−15.7123			−0.506848
$962$	23.7909	−	28.0714i	0.767048	−	0.905060i
$963$	28.4461	+	15.1724i	0.916662	+	0.488925i
$964$	2.51886	−	3.52307i	0.0811269	−	0.113470i
$965$	6.16978	−	31.0176i	0.198612	−	0.998492i
$966$	−6.04022	−	17.7368i	−0.194341	−	0.570671i
$967$	34.3125	+	14.2127i	1.10342	+	0.457049i	0.858665	−	0.512537i	$-0.171294\pi$
$967$	34.3125	+	14.2127i	1.10342	+	0.457049i	0.244750	+	0.969586i	$0.421294\pi$
$968$	−11.6750	−	15.6889i	−0.375249	−	0.504260i
$969$	−2.82436	−	5.96479i	−0.0907315	−	0.191617i
$970$	−13.4824	−	16.9689i	−0.432893	−	0.544838i
$971$	28.7849	+	43.0797i	0.923752	+	1.38249i	0.923958	+	0.382493i	$0.124934\pi$
$971$	28.7849	+	43.0797i	0.923752	+	1.38249i	−0.000205948		1.00000i	$0.500066\pi$
$972$	−17.8269	−	25.5773i	−0.571799	−	0.820394i
$973$	−27.0641	+	5.38338i	−0.867634	+	0.172583i
$974$	−22.8857	+	11.7709i	−0.733305	+	0.377165i
$975$	−78.9417	−	71.4851i	−2.52816	−	2.28935i
$976$	−30.1505	−	8.00923i	−0.965095	−	0.256369i
$977$	−21.4346	−	21.4346i	−0.685755	−	0.685755i	0.275536	−	0.961291i	$-0.411145\pi$
$977$	−21.4346	−	21.4346i	−0.685755	−	0.685755i	−0.961291	+	0.275536i	$0.911145\pi$
$978$	2.15730	−	8.08283i	0.0689828	−	0.258461i
$979$	10.4946	−	2.08750i	0.335408	−	0.0667168i
$980$	−9.04604	−	9.63753i	−0.288965	−	0.307860i
$981$	23.9041	−	19.6529i	0.763198	−	0.627470i
$982$	22.0558	+	2.52527i	0.703827	+	0.0805847i
$983$	−5.07943	+	2.10397i	−0.162009	+	0.0671062i	−0.462214	−	0.886768i	$-0.652945\pi$
$983$	−5.07943	+	2.10397i	−0.162009	+	0.0671062i	0.300205	+	0.953875i	$0.402945\pi$
$984$	8.42788	+	6.88761i	0.268671	+	0.219569i
$985$	50.8723	+	21.0720i	1.62093	+	0.671410i
$986$	−5.93354	+	10.6905i	−0.188962	+	0.340454i
$987$	29.0233	+	4.29209i	0.923820	+	0.136619i
$988$	−8.55810	−	13.7295i	−0.272270	−	0.436795i
$989$	−18.8483	−	12.5941i	−0.599342	−	0.400468i
$990$	5.85107	+	31.8988i	0.185959	+	1.01381i
$991$	30.2375			0.960525			0.480263	−	0.877125i	$-0.340541\pi$
$991$	30.2375			0.960525			0.480263	+	0.877125i	$0.340541\pi$
$992$	20.5920	+	8.07330i	0.653795	+	0.256328i
$993$	44.6792	−	2.21473i	1.41785	−	0.0702825i
$994$	36.6016	−	3.02101i	1.16093	−	0.0958206i
$995$	10.0262	−	15.0052i	0.317851	−	0.475697i
$996$	−18.3577	−	3.31149i	−0.581685	−	0.104929i
$997$	−0.185550	+	0.932822i	−0.00587642	+	0.0295428i	−0.983612	−	0.180297i	$-0.942294\pi$
$997$	−0.185550	+	0.932822i	−0.00587642	+	0.0295428i	0.977736	+	0.209840i	$0.0672942\pi$
$998$	27.2629	−	49.1196i	0.862993	−	1.55486i
$999$	−19.8454	−	4.94306i	−0.627880	−	0.156392i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.59.6	✓	240
3.2	odd	2	inner	192.2.s.a.59.25	yes	240
4.3	odd	2		768.2.s.a.143.5		240
12.11	even	2		768.2.s.a.143.25		240
64.13	even	16		768.2.s.a.623.25		240
64.51	odd	16	inner	192.2.s.a.179.25	yes	240
192.77	odd	16		768.2.s.a.623.5		240
192.179	even	16	inner	192.2.s.a.179.6	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.6	✓	240	1.1	even	1	trivial
192.2.s.a.59.25	yes	240	3.2	odd	2	inner
192.2.s.a.179.6	yes	240	192.179	even	16	inner
192.2.s.a.179.25	yes	240	64.51	odd	16	inner
768.2.s.a.143.5		240	4.3	odd	2
768.2.s.a.143.25		240	12.11	even	2
768.2.s.a.623.5		240	192.77	odd	16
768.2.s.a.623.25		240	64.13	even	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.07887 - 0.914353i) q^{2} +(1.48602 + 0.889796i) q^{3} +(0.327916 + 1.97293i) q^{4} +(0.737769 - 3.70902i) q^{5} +(-0.789636 - 2.31872i) q^{6} +(-2.11735 - 0.877036i) q^{7} +(1.45018 - 2.42837i) q^{8} +(1.41653 + 2.64451i) q^{9} +O(q^{10})\)	\(q+(-1.07887 - 0.914353i) q^{2} +(1.48602 + 0.889796i) q^{3} +(0.327916 + 1.97293i) q^{4} +(0.737769 - 3.70902i) q^{5} +(-0.789636 - 2.31872i) q^{6} +(-2.11735 - 0.877036i) q^{7} +(1.45018 - 2.42837i) q^{8} +(1.41653 + 2.64451i) q^{9} +(-4.18731 + 3.32696i) q^{10} +(-1.12300 - 1.68068i) q^{11} +(-1.26822 + 3.22360i) q^{12} +(6.48369 - 1.28969i) q^{13} +(1.48243 + 2.88222i) q^{14} +(4.39661 - 4.85522i) q^{15} +(-3.78494 + 1.29391i) q^{16} +(2.20185 + 2.20185i) q^{17} +(0.889772 - 4.14829i) q^{18} +(-1.20014 + 0.238723i) q^{19} +(7.55957 + 0.239323i) q^{20} +(-2.36605 - 3.18731i) q^{21} +(-0.325172 + 2.84005i) q^{22} +(-3.08364 + 1.27728i) q^{23} +(4.31575 - 2.31825i) q^{24} +(-8.59310 - 3.55938i) q^{25} +(-8.17427 - 4.53698i) q^{26} +(-0.248084 + 5.19023i) q^{27} +(1.03602 - 4.46499i) q^{28} +(-2.30855 - 1.54252i) q^{29} +(-9.18275 + 1.21809i) q^{30} +3.90995 q^{31} +(5.26655 + 2.06481i) q^{32} +(-0.173334 - 3.49677i) q^{33} +(-0.362239 - 4.38878i) q^{34} +(-4.81506 + 7.20625i) q^{35} +(-4.75295 + 3.66190i) q^{36} +(-0.767863 + 3.86031i) q^{37} +(1.51307 + 0.839802i) q^{38} +(10.7825 + 3.85265i) q^{39} +(-7.93696 - 7.17032i) q^{40} +(0.850228 + 2.05263i) q^{41} +(-0.361665 + 5.60209i) q^{42} +(3.77327 + 5.64710i) q^{43} +(2.94763 - 2.76672i) q^{44} +(10.8536 - 3.30288i) q^{45} +(4.49473 + 1.44151i) q^{46} +(-5.22625 + 5.22625i) q^{47} +(-6.77583 - 1.44504i) q^{48} +(-1.23576 - 1.23576i) q^{49} +(6.01630 + 11.6972i) q^{50} +(1.31280 + 5.23120i) q^{51} +(4.67057 + 12.3690i) q^{52} +(-8.91966 + 5.95992i) q^{53} +(5.01335 - 5.37274i) q^{54} +(-7.06219 + 2.92526i) q^{55} +(-5.20031 + 3.86985i) q^{56} +(-1.99585 - 0.713133i) q^{57} +(1.08021 + 3.77500i) q^{58} +(0.934849 + 0.185953i) q^{59} +(11.0207 + 7.08211i) q^{60} +(6.48467 + 4.33292i) q^{61} +(-4.21832 - 3.57508i) q^{62} +(-0.679955 - 6.84171i) q^{63} +(-3.79395 - 7.04315i) q^{64} -24.9996i q^{65} +(-3.01028 + 3.93105i) q^{66} +(-3.71874 + 5.56549i) q^{67} +(-3.62209 + 5.06614i) q^{68} +(-5.71888 - 0.845733i) q^{69} +(11.7839 - 3.37193i) q^{70} +(4.33632 - 10.4688i) q^{71} +(8.47607 + 0.395169i) q^{72} +(-1.32436 - 3.19728i) q^{73} +(4.35811 - 3.46267i) q^{74} +(-9.60242 - 12.9354i) q^{75} +(-0.864531 - 2.28952i) q^{76} +(0.903760 + 4.54351i) q^{77} +(-8.11018 - 14.0155i) q^{78} +(-7.64787 + 7.64787i) q^{79} +(2.00674 + 14.9930i) q^{80} +(-4.98690 + 7.49205i) q^{81} +(0.959546 - 2.99193i) q^{82} +(1.05055 + 5.28147i) q^{83} +(5.51248 - 5.71324i) q^{84} +(9.79117 - 6.54225i) q^{85} +(1.09258 - 9.54258i) q^{86} +(-2.05802 - 4.34635i) q^{87} +(-5.70987 + 0.289757i) q^{88} +(-2.02577 + 4.89065i) q^{89} +(-14.7296 - 6.36066i) q^{90} +(-14.8594 - 2.95571i) q^{91} +(-3.53117 - 5.66497i) q^{92} +(5.81027 + 3.47906i) q^{93} +(10.4171 - 0.859800i) q^{94} +4.62746i q^{95} +(5.98896 + 7.75451i) q^{96} +4.05246i q^{97} +(0.203301 + 2.46314i) q^{98} +(2.85383 - 5.35051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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