LMFDB - Embedded newform 192.2.s.a.131.26

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			131.26
Character	$\chi$	$=$	192.131
Dual form			192.2.s.a.107.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.17382 + 0.788758i) q^{2} +(0.00323701 - 1.73205i) q^{3} +(0.755721 + 1.85172i) q^{4} +(0.951414 - 1.42389i) q^{5} +(1.36997 - 2.03056i) q^{6} +(-0.304742 - 0.735711i) q^{7} +(-0.573480 + 2.76968i) q^{8} +(-2.99998 - 0.0112133i) q^{9} +O(q^{10})$	\(q+(1.17382 + 0.788758i) q^{2} +(0.00323701 - 1.73205i) q^{3} +(0.755721 + 1.85172i) q^{4} +(0.951414 - 1.42389i) q^{5} +(1.36997 - 2.03056i) q^{6} +(-0.304742 - 0.735711i) q^{7} +(-0.573480 + 2.76968i) q^{8} +(-2.99998 - 0.0112133i) q^{9} +(2.23990 - 0.920961i) q^{10} +(5.27874 - 1.05001i) q^{11} +(3.20972 - 1.30295i) q^{12} +(-2.38495 + 1.59357i) q^{13} +(0.222585 - 1.10396i) q^{14} +(-2.46317 - 1.65250i) q^{15} +(-2.85777 + 2.79878i) q^{16} +(-3.60610 + 3.60610i) q^{17} +(-3.51260 - 2.37942i) q^{18} +(-2.23180 + 1.49124i) q^{19} +(3.35566 + 0.685692i) q^{20} +(-1.27527 + 0.525445i) q^{21} +(7.02451 + 2.93113i) q^{22} +(2.89265 - 6.98348i) q^{23} +(4.79536 + 1.00226i) q^{24} +(0.791139 + 1.90998i) q^{25} +(-4.05645 - 0.0105764i) q^{26} +(-0.0291330 + 5.19607i) q^{27} +(1.13203 - 1.12029i) q^{28} +(-0.806254 + 4.05331i) q^{29} +(-1.58790 - 3.88259i) q^{30} -6.95599 q^{31} +(-5.56207 + 1.03118i) q^{32} +(-1.80158 - 9.14643i) q^{33} +(-7.07727 + 1.38858i) q^{34} +(-1.33751 - 0.266047i) q^{35} +(-2.24638 - 5.56361i) q^{36} +(-2.51344 + 3.76162i) q^{37} +(-3.79597 - 0.00989724i) q^{38} +(2.75242 + 4.13600i) q^{39} +(3.39810 + 3.45168i) q^{40} +(-1.08807 - 0.450693i) q^{41} +(-1.91139 - 0.389102i) q^{42} +(1.84512 - 0.367016i) q^{43} +(5.93358 + 8.98127i) q^{44} +(-2.87019 + 4.26097i) q^{45} +(8.90374 - 5.91577i) q^{46} +(-4.93192 - 4.93192i) q^{47} +(4.83836 + 4.95886i) q^{48} +(4.50134 - 4.50134i) q^{49} +(-0.577854 + 2.86600i) q^{50} +(6.23427 + 6.25761i) q^{51} +(-4.75321 - 3.21197i) q^{52} +(-1.88555 - 9.47932i) q^{53} +(-4.13264 + 6.07629i) q^{54} +(3.52717 - 8.51534i) q^{55} +(2.21245 - 0.422120i) q^{56} +(2.57568 + 3.87042i) q^{57} +(-4.14348 + 4.12193i) q^{58} +(2.08460 + 1.39288i) q^{59} +(1.19851 - 5.80994i) q^{60} +(-0.211398 + 1.06277i) q^{61} +(-8.16510 - 5.48659i) q^{62} +(0.905968 + 2.21053i) q^{63} +(-7.34224 - 3.17671i) q^{64} +4.91205i q^{65} +(5.09959 - 12.1573i) q^{66} +(13.8689 + 2.75869i) q^{67} +(-9.40272 - 3.95230i) q^{68} +(-12.0864 - 5.03282i) q^{69} +(-1.36015 - 1.36726i) q^{70} +(4.58122 - 1.89760i) q^{71} +(1.75149 - 8.30255i) q^{72} +(0.638643 + 0.264535i) q^{73} +(-5.91734 + 2.43299i) q^{74} +(3.31074 - 1.36411i) q^{75} +(-4.44799 - 3.00572i) q^{76} +(-2.38115 - 3.56365i) q^{77} +(-0.0314495 + 7.02592i) q^{78} +(2.62297 + 2.62297i) q^{79} +(1.26623 + 6.73195i) q^{80} +(8.99975 + 0.0672794i) q^{81} +(-0.921714 - 1.38726i) q^{82} +(-1.68471 - 2.52135i) q^{83} +(-1.93673 - 1.96437i) q^{84} +(1.70380 + 8.56559i) q^{85} +(2.45533 + 1.02454i) q^{86} +(7.01792 + 1.40959i) q^{87} +(-0.119072 + 15.2226i) q^{88} +(14.6543 - 6.06999i) q^{89} +(-6.72997 + 2.73775i) q^{90} +(1.89920 + 1.26900i) q^{91} +(15.1175 + 0.0788324i) q^{92} +(-0.0225166 + 12.0481i) q^{93} +(-1.89911 - 9.67928i) q^{94} +4.59663i q^{95} +(1.76804 + 9.63712i) q^{96} +0.149313i q^{97} +(8.83425 - 1.73331i) q^{98} +(-15.8479 + 3.09081i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{16}\right)$

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 $

$2$	1.17382	+	0.788758i	0.830018	+	0.557736i
$2$	1.17382	+	0.788758i	0.830018	+	0.557736i
$3$	0.00323701	−	1.73205i	0.00186889	−	0.999998i
$3$	0.00323701	−	1.73205i	0.00186889	−	0.999998i
$4$	0.755721	+	1.85172i	0.377861	+	0.925862i
$5$	0.951414	−	1.42389i	0.425485	−	0.636783i	−0.555351	−	0.831616i	$-0.687416\pi$
$5$	0.951414	−	1.42389i	0.425485	−	0.636783i	0.980837	+	0.194832i	$0.0624163\pi$
$6$	1.36997	−	2.03056i	0.559286	−	0.828974i
$7$	−0.304742	−	0.735711i	−0.115181	−	0.278073i	0.855767	−	0.517361i	$-0.173086\pi$
$7$	−0.304742	−	0.735711i	−0.115181	−	0.278073i	−0.970948	+	0.239289i	$0.923086\pi$
$8$	−0.573480	+	2.76968i	−0.202756	+	0.979229i
$9$	−2.99998	−	0.0112133i	−0.999993	−	0.00373777i
$10$	2.23990	−	0.920961i	0.708318	−	0.291233i
$11$	5.27874	−	1.05001i	1.59160	−	0.316589i	0.681769	−	0.731567i	$-0.261211\pi$
$11$	5.27874	−	1.05001i	1.59160	−	0.316589i	0.909831	+	0.414978i	$0.136211\pi$
$12$	3.20972	−	1.30295i	0.926567	−	0.376130i
$13$	−2.38495	+	1.59357i	−0.661465	+	0.441977i	−0.840460	−	0.541873i	$-0.817715\pi$
$13$	−2.38495	+	1.59357i	−0.661465	+	0.441977i	0.178995	+	0.983850i	$0.442715\pi$
$14$	0.222585	−	1.10396i	0.0594885	−	0.295046i
$15$	−2.46317	−	1.65250i	−0.635987	−	0.426674i
$16$	−2.85777	+	2.79878i	−0.714443	+	0.699694i
$17$	−3.60610	+	3.60610i	−0.874608	+	0.874608i	−0.992970	−	0.118362i	$-0.962236\pi$
$17$	−3.60610	+	3.60610i	−0.874608	+	0.874608i	0.118362	+	0.992970i	$0.462236\pi$
$18$	−3.51260	−	2.37942i	−0.827928	−	0.560835i
$19$	−2.23180	+	1.49124i	−0.512011	+	0.342115i	−0.784586	−	0.620020i	$-0.787125\pi$
$19$	−2.23180	+	1.49124i	−0.512011	+	0.342115i	0.272575	+	0.962134i	$0.412125\pi$
$20$	3.35566	+	0.685692i	0.750348	+	0.153325i
$21$	−1.27527	+	0.525445i	−0.278287	+	0.114662i
$22$	7.02451	+	2.93113i	1.49763	+	0.624919i
$23$	2.89265	−	6.98348i	0.603160	−	1.45616i	−0.267151	−	0.963655i	$-0.586082\pi$
$23$	2.89265	−	6.98348i	0.603160	−	1.45616i	0.870311	−	0.492502i	$-0.163918\pi$
$24$	4.79536	+	1.00226i	0.978849	+	0.204586i
$25$	0.791139	+	1.90998i	0.158228	+	0.381996i
$26$	−4.05645	−	0.0105764i	−0.795534	−	0.00207420i
$27$	−0.0291330	+	5.19607i	−0.00560664	+	0.999984i
$28$	1.13203	−	1.12029i	0.213934	−	0.211715i
$29$	−0.806254	+	4.05331i	−0.149718	+	0.752681i	0.830850	+	0.556497i	$0.187855\pi$
$29$	−0.806254	+	4.05331i	−0.149718	+	0.752681i	−0.980567	+	0.196184i	$0.937145\pi$
$30$	−1.58790	−	3.88259i	−0.289909	−	0.708861i
$31$	−6.95599			−1.24933			−0.624666	−	0.780892i	$-0.714765\pi$
$31$	−6.95599			−1.24933			−0.624666	+	0.780892i	$0.714765\pi$
$32$	−5.56207	+	1.03118i	−0.983245	+	0.182288i
$33$	−1.80158	−	9.14643i	−0.313614	−	1.59219i
$34$	−7.07727	+	1.38858i	−1.21374	+	0.238140i
$35$	−1.33751	−	0.266047i	−0.226080	−	0.0449701i
$36$	−2.24638	−	5.56361i	−0.374397	−	0.927268i
$37$	−2.51344	+	3.76162i	−0.413206	+	0.618407i	−0.978442	−	0.206523i	$-0.933785\pi$
$37$	−2.51344	+	3.76162i	−0.413206	+	0.618407i	0.565235	+	0.824930i	$0.308785\pi$
$38$	−3.79597	−	0.00989724i	−0.615788	−	0.00160554i
$39$	2.75242	+	4.13600i	0.440740	+	0.662290i
$40$	3.39810	+	3.45168i	0.537287	+	0.545759i
$41$	−1.08807	−	0.450693i	−0.169928	−	0.0703865i	0.296098	−	0.955158i	$-0.404315\pi$
$41$	−1.08807	−	0.450693i	−0.169928	−	0.0703865i	−0.466026	+	0.884771i	$0.654315\pi$
$42$	−1.91139	−	0.389102i	−0.294935	−	0.0600398i
$43$	1.84512	−	0.367016i	0.281377	−	0.0559695i	−0.0523840	−	0.998627i	$-0.516682\pi$
$43$	1.84512	−	0.367016i	0.281377	−	0.0559695i	0.333761	+	0.942658i	$0.391682\pi$
$44$	5.93358	+	8.98127i	0.894521	+	1.35398i
$45$	−2.87019	+	4.26097i	−0.427862	+	0.635189i
$46$	8.90374	−	5.91577i	1.31279	−	0.872233i
$47$	−4.93192	−	4.93192i	−0.719394	−	0.719394i	0.249087	−	0.968481i	$-0.419869\pi$
$47$	−4.93192	−	4.93192i	−0.719394	−	0.719394i	−0.968481	+	0.249087i	$0.919869\pi$
$48$	4.83836	+	4.95886i	0.698357	+	0.715749i
$49$	4.50134	−	4.50134i	0.643049	−	0.643049i
$50$	−0.577854	+	2.86600i	−0.0817209	+	0.405313i
$51$	6.23427	+	6.25761i	0.872972	+	0.876241i
$52$	−4.75321	−	3.21197i	−0.659151	−	0.445420i
$53$	−1.88555	−	9.47932i	−0.259001	−	1.30208i	−0.863042	−	0.505132i	$-0.831444\pi$
$53$	−1.88555	−	9.47932i	−0.259001	−	1.30208i	0.604041	−	0.796953i	$-0.293556\pi$
$54$	−4.13264	+	6.07629i	−0.562381	+	0.826878i
$55$	3.52717	−	8.51534i	0.475604	−	1.14821i
$56$	2.21245	−	0.422120i	0.295651	−	0.0564082i
$57$	2.57568	+	3.87042i	0.341157	+	0.512649i
$58$	−4.14348	+	4.12193i	−0.544066	+	0.541236i
$59$	2.08460	+	1.39288i	0.271392	+	0.181338i	0.683817	−	0.729653i	$-0.260318\pi$
$59$	2.08460	+	1.39288i	0.271392	+	0.181338i	−0.412426	+	0.910991i	$0.635318\pi$
$60$	1.19851	−	5.80994i	0.154727	−	0.750060i
$61$	−0.211398	+	1.06277i	−0.0270668	+	0.136074i	−0.991956	−	0.126583i	$-0.959599\pi$
$61$	−0.211398	+	1.06277i	−0.0270668	+	0.136074i	0.964889	+	0.262657i	$0.0845988\pi$
$62$	−8.16510	−	5.48659i	−1.03697	−	0.696798i
$63$	0.905968	+	2.21053i	0.114141	+	0.278501i
$64$	−7.34224	−	3.17671i	−0.917780	−	0.397089i
$65$			4.91205i			0.609264i
$66$	5.09959	−	12.1573i	0.627716	−	1.49646i
$67$	13.8689	+	2.75869i	1.69435	+	0.337027i	0.945478	−	0.325687i	$-0.105595\pi$
$67$	13.8689	+	2.75869i	1.69435	+	0.337027i	0.748873	+	0.662714i	$0.230595\pi$
$68$	−9.40272	−	3.95230i	−1.14025	−	0.479287i
$69$	−12.0864	−	5.03282i	−1.45503	−	0.605880i
$70$	−1.36015	−	1.36726i	−0.162569	−	0.163419i
$71$	4.58122	−	1.89760i	0.543691	−	0.225204i	−0.0938968	−	0.995582i	$-0.529932\pi$
$71$	4.58122	−	1.89760i	0.543691	−	0.225204i	0.637588	+	0.770378i	$0.279932\pi$
$72$	1.75149	−	8.30255i	0.206415	−	0.978465i
$73$	0.638643	+	0.264535i	0.0747476	+	0.0309615i	0.419744	−	0.907643i	$-0.362120\pi$
$73$	0.638643	+	0.264535i	0.0747476	+	0.0309615i	−0.344996	+	0.938604i	$0.612120\pi$
$74$	−5.91734	+	2.43299i	−0.687877	+	0.282829i
$75$	3.31074	−	1.36411i	0.382291	−	0.157514i
$76$	−4.44799	−	3.00572i	−0.510220	−	0.344780i
$77$	−2.38115	−	3.56365i	−0.271358	−	0.406115i
$78$	−0.0314495	+	7.02592i	−0.00356096	+	0.795529i
$79$	2.62297	+	2.62297i	0.295108	+	0.295108i	0.839094	−	0.543986i	$-0.183086\pi$
$79$	2.62297	+	2.62297i	0.295108	+	0.295108i	−0.543986	+	0.839094i	$0.683086\pi$
$80$	1.26623	+	6.73195i	0.141569	+	0.752655i
$81$	8.99975	+	0.0672794i	0.999972	+	0.00747549i
$82$	−0.921714	−	1.38726i	−0.101786	−	0.153197i
$83$	−1.68471	−	2.52135i	−0.184921	−	0.276754i	0.727414	−	0.686199i	$-0.240722\pi$
$83$	−1.68471	−	2.52135i	−0.184921	−	0.276754i	−0.912335	+	0.409445i	$0.865722\pi$
$84$	−1.93673	−	1.96437i	−0.211315	−	0.214330i
$85$	1.70380	+	8.56559i	0.184803	+	0.929069i
$86$	2.45533	+	1.02454i	0.264765	+	0.110479i
$87$	7.01792	+	1.40959i	0.752400	+	0.151124i
$88$	−0.119072	+	15.2226i	−0.0126931	+	1.62273i
$89$	14.6543	−	6.06999i	1.55335	−	0.643418i	0.569430	−	0.822040i	$-0.307164\pi$
$89$	14.6543	−	6.06999i	1.55335	−	0.643418i	0.983918	+	0.178622i	$0.0571639\pi$
$90$	−6.72997	+	2.73775i	−0.709401	+	0.288584i
$91$	1.89920	+	1.26900i	0.199090	+	0.133028i
$92$	15.1175	+	0.0788324i	1.57611	+	0.00821885i
$93$	−0.0225166	+	12.0481i	−0.00233486	+	1.24933i
$94$	−1.89911	−	9.67928i	−0.195878	−	0.998342i
$95$			4.59663i			0.471605i
$96$	1.76804	+	9.63712i	0.180450	+	0.983584i
$97$			0.149313i			0.0151604i	0.999971	+	0.00758022i	$0.00241288\pi$
$97$			0.149313i			0.0151604i	−0.999971	+	0.00758022i	$0.997587\pi$
$98$	8.83425	−	1.73331i	0.892394	−	0.175091i
$99$	−15.8479	+	3.09081i	−1.59277	+	0.310638i
$100$	−2.93888	+	2.90838i	−0.293888	+	0.290838i
$101$	1.92669	+	1.28738i	0.191713	+	0.128099i	0.647723	−	0.761876i	$-0.275722\pi$
$101$	1.92669	+	1.28738i	0.191713	+	0.128099i	−0.456009	+	0.889975i	$0.650722\pi$
$102$	2.38218	+	12.2627i	0.235871	+	1.21418i
$103$	−16.6745	+	6.90682i	−1.64299	+	0.680549i	−0.996595	−	0.0824521i	$-0.973725\pi$
$103$	−16.6745	+	6.90682i	−1.64299	+	0.680549i	−0.646397	+	0.763002i	$0.723725\pi$
$104$	−3.04596	−	7.51941i	−0.298681	−	0.737339i
$105$	−0.465135	+	2.31577i	−0.0453926	+	0.225996i
$106$	5.26358	−	12.6143i	0.511245	−	1.22521i
$107$	1.86716	+	9.38684i	0.180505	+	0.907460i	0.959775	+	0.280772i	$0.0905903\pi$
$107$	1.86716	+	9.38684i	0.180505	+	0.907460i	−0.779270	+	0.626689i	$0.784410\pi$
$108$	−9.64371	+	3.87283i	−0.927966	+	0.372664i
$109$	3.82994	+	5.73191i	0.366842	+	0.549017i	0.968269	−	0.249910i	$-0.0804011\pi$
$109$	3.82994	+	5.73191i	0.366842	+	0.549017i	−0.601427	+	0.798927i	$0.705401\pi$
$110$	10.8568	−	7.21342i	1.03516	−	0.687773i
$111$	6.50718	+	4.36557i	0.617634	+	0.414361i
$112$	2.92997	+	1.24959i	0.276856	+	0.118075i
$113$	−10.9819	−	10.9819i	−1.03309	−	1.03309i	−0.999434	−	0.0336525i	$-0.989286\pi$
$113$	−10.9819	−	10.9819i	−1.03309	−	1.03309i	−0.0336525	−	0.999434i	$-0.510714\pi$
$114$	−0.0294301	+	6.57477i	−0.00275638	+	0.615784i
$115$	−7.19161	−	10.7630i	−0.670621	−	1.00366i
$116$	−8.11492	+	1.57021i	−0.753451	+	0.145791i
$117$	7.17266	−	4.75393i	0.663112	−	0.439501i
$118$	1.34830	+	3.27924i	0.124121	+	0.301879i
$119$	3.75198	+	1.55412i	0.343943	+	0.142466i
$120$	5.98948	−	5.87451i	0.546762	−	0.536266i
$121$	16.5999	−	6.87591i	1.50908	−	0.625083i
$122$	−1.08641	+	1.08076i	−0.0983592	+	0.0978476i
$123$	−0.784144	+	1.88313i	−0.0707039	+	0.169796i
$124$	−5.25679	−	12.8806i	−0.472074	−	1.15671i
$125$	11.8703	+	2.36114i	1.06171	+	0.211187i
$126$	−0.680131	+	3.30937i	−0.0605909	+	0.294822i
$127$		−	20.2770i		−	1.79929i	−0.436624	−	0.899644i	$-0.643826\pi$
$127$		−	20.2770i		−	1.79929i	0.436624	−	0.899644i	$-0.356174\pi$
$128$	−6.11283	−	9.52015i	−0.540303	−	0.841470i
$129$	−0.629717	−	3.19702i	−0.0554435	−	0.281482i
$130$	−3.87442	+	5.76587i	−0.339809	+	0.505701i
$131$	0.249189	−	1.25276i	0.0217717	−	0.109454i	−0.968371	−	0.249513i	$-0.919729\pi$
$131$	0.249189	−	1.25276i	0.0217717	−	0.109454i	0.990143	+	0.140059i	$0.0447294\pi$
$132$	15.5752	−	10.2482i	1.35565	−	0.891989i
$133$	1.77725	+	1.18752i	0.154107	+	0.102971i
$134$	14.1036	+	14.1774i	1.21837	+	1.22474i
$135$	7.37092	+	4.98509i	0.634388	+	0.429049i
$136$	−7.91972	−	12.0558i	−0.679110	−	1.03377i
$137$	−3.45449	+	8.33988i	−0.295137	+	0.712524i	0.704858	+	0.709348i	$0.251011\pi$
$137$	−3.45449	+	8.33988i	−0.295137	+	0.712524i	−0.999995	+	0.00317519i	$0.998989\pi$
$138$	−10.2176	−	15.4409i	−0.869778	−	1.31441i
$139$	−1.01764	−	5.11603i	−0.0863153	−	0.433936i	−0.999643	−	0.0267113i	$-0.991497\pi$
$139$	−1.01764	−	5.11603i	−0.0863153	−	0.433936i	0.913328	−	0.407225i	$-0.133503\pi$
$140$	−0.518137	−	2.67775i	−0.0437906	−	0.226311i
$141$	−8.55828	+	8.52635i	−0.720737	+	0.718048i
$142$	6.87429	+	1.38602i	0.576878	+	0.116313i
$143$	−10.9163	+	10.9163i	−0.912863	+	0.912863i
$144$	8.60464	−	8.36422i	0.717053	−	0.697019i
$145$	5.00439	+	5.00439i	0.415592	+	0.415592i
$146$	0.541000	+	0.814252i	0.0447735	+	0.0673880i
$147$	−7.78197	−	7.81111i	−0.641846	−	0.644250i
$148$	−8.86495	−	1.81145i	−0.728694	−	0.148901i
$149$	16.6513	−	3.31215i	1.36413	−	0.271342i	0.541872	−	0.840461i	$-0.317716\pi$
$149$	16.6513	−	3.31215i	1.36413	−	0.271342i	0.822255	+	0.569119i	$0.192716\pi$
$150$	4.96217	+	1.01015i	0.405160	+	0.0824783i
$151$	−5.96083	−	2.46906i	−0.485086	−	0.200929i	0.126718	−	0.991939i	$-0.459556\pi$
$151$	−5.96083	−	2.46906i	−0.485086	−	0.200929i	−0.611804	+	0.791010i	$0.709556\pi$
$152$	−2.85037	−	7.03658i	−0.231196	−	0.570742i
$153$	10.8587	−	10.7778i	0.877871	−	0.871333i
$154$	0.0158035	−	6.06125i	0.00127348	−	0.488429i
$155$	−6.61802	+	9.90457i	−0.531572	+	0.795554i
$156$	−5.57867	+	8.22238i	−0.446651	+	0.658318i
$157$	−13.1331	−	2.61233i	−1.04813	−	0.208487i	−0.359162	−	0.933275i	$-0.616938\pi$
$157$	−13.1331	−	2.61233i	−1.04813	−	0.208487i	−0.688972	+	0.724788i	$0.741938\pi$
$158$	1.01002	+	5.14780i	0.0803525	+	0.409537i
$159$	−16.4247	+	3.23519i	−1.30257	+	0.256567i
$160$	−3.82355	+	8.90086i	−0.302278	+	0.703675i
$161$	−6.01934			−0.474390
$162$	10.5110	+	7.17760i	0.825826	+	0.563925i
$163$	4.06143	−	20.4182i	0.318116	−	1.59928i	−0.408849	−	0.912602i	$-0.634070\pi$
$163$	4.06143	−	20.4182i	0.318116	−	1.59928i	0.726965	−	0.686675i	$-0.240930\pi$
$164$	0.0122826	−	2.35540i	0.000959108	−	0.183926i
$165$	−14.7376	−	6.13679i	−1.14732	−	0.477749i
$166$	0.0111813	−	4.28844i	0.000867835	−	0.332848i
$167$	−4.47253	−	10.7976i	−0.346095	−	0.835546i	−0.997073	−	0.0764504i	$-0.975641\pi$
$167$	−4.47253	−	10.7976i	−0.346095	−	0.835546i	0.650979	−	0.759096i	$-0.274359\pi$
$168$	−0.723971	−	3.83343i	−0.0558556	−	0.295756i
$169$	−1.82638	+	4.40928i	−0.140491	+	0.339175i
$170$	−4.75622	+	11.3984i	−0.364785	+	0.874215i
$171$	6.71209	−	4.44867i	0.513286	−	0.340199i
$172$	2.07401	+	3.13928i	0.158141	+	0.239368i
$173$	−10.2207	+	6.82923i	−0.777062	+	0.519217i	−0.879715	−	0.475501i	$-0.842267\pi$
$173$	−10.2207	+	6.82923i	−0.777062	+	0.519217i	0.102653	+	0.994717i	$0.467267\pi$
$174$	7.12597	+	7.19005i	0.540218	+	0.545076i
$175$	1.16410	−	1.16410i	0.0879977	−	0.0879977i
$176$	−12.1467	+	17.7747i	−0.915592	+	1.33982i
$177$	2.41929	−	3.60611i	0.181845	−	0.271052i
$178$	21.9893	+	4.43357i	1.64816	+	0.332310i
$179$	−6.50009	+	4.34322i	−0.485839	+	0.324627i	−0.774251	−	0.632879i	$-0.781873\pi$
$179$	−6.50009	+	4.34322i	−0.485839	+	0.324627i	0.288411	+	0.957507i	$0.406873\pi$
$180$	−10.0592	−	2.09469i	−0.749770	−	0.156129i
$181$	12.7875	−	2.54359i	0.950487	−	0.189064i	0.304586	−	0.952485i	$-0.401482\pi$
$181$	12.7875	−	2.54359i	0.950487	−	0.189064i	0.645901	+	0.763421i	$0.276482\pi$
$182$	1.22839	+	2.98759i	0.0910540	+	0.221455i
$183$	1.84008	+	0.369592i	0.136023	+	0.0273210i
$184$	17.6831	+	12.0166i	1.30362	+	0.885876i
$185$	2.96482	+	7.15772i	0.217978	+	0.526246i
$186$	−9.52947	+	14.1246i	−0.698735	+	1.03566i
$187$	−15.2492	+	22.8221i	−1.11514	+	1.66892i
$188$	5.40540	−	12.8597i	0.394229	−	0.937890i
$189$	3.83168	−	1.56202i	0.278714	−	0.113621i
$190$	−3.62563	+	5.39564i	−0.263031	+	0.391441i
$191$	−11.6080			−0.839922			−0.419961	−	0.907542i	$-0.637956\pi$
$191$	−11.6080			−0.839922			−0.419961	+	0.907542i	$0.637956\pi$
$192$	−5.52598	+	12.7068i	−0.398804	+	0.917036i
$193$	−23.6837			−1.70479			−0.852396	−	0.522896i	$-0.824852\pi$
$193$	−23.6837			−1.70479			−0.852396	+	0.522896i	$0.824852\pi$
$194$	−0.117772	+	0.175267i	−0.00845553	+	0.0125834i
$195$	8.50790	+	0.0159003i	0.609263	+	0.00113865i
$196$	11.7370	+	4.93349i	0.838358	+	0.352392i
$197$	5.94160	−	8.89224i	0.423322	−	0.633546i	−0.557102	−	0.830444i	$-0.688087\pi$
$197$	5.94160	−	8.89224i	0.423322	−	0.633546i	0.980424	+	0.196898i	$0.0630869\pi$
$198$	−21.0405	−	8.87209i	−1.49528	−	0.630512i
$199$	−0.0481228	−	0.116179i	−0.00341134	−	0.00823569i	0.922165	−	0.386797i	$-0.126419\pi$
$199$	−0.0481228	−	0.116179i	−0.00341134	−	0.00823569i	−0.925576	+	0.378562i	$0.876419\pi$
$200$	−5.74373	+	1.09587i	−0.406143	+	0.0774895i
$201$	4.82307	−	24.0126i	0.340193	−	1.69372i
$202$	1.24617	+	3.03085i	0.0876802	+	0.213250i
$203$	3.22776	−	0.642042i	0.226545	−	0.0450625i
$204$	−6.87601	+	16.2732i	−0.481417	+	1.13935i
$205$	−1.67694	+	1.12050i	−0.117123	+	0.0782589i
$206$	−25.0208	−	5.04480i	−1.74328	−	0.351488i
$207$	−8.75621	+	20.9179i	−0.608598	+	1.45389i
$208$	2.35558	−	11.2290i	0.163330	−	0.778590i
$209$	−10.2153	+	10.2153i	−0.706607	+	0.706607i
$210$	−2.37257	+	2.35142i	−0.163723	+	0.162263i
$211$	−11.9918	+	8.01268i	−0.825551	+	0.551615i	−0.895050	−	0.445967i	$-0.852860\pi$
$211$	−11.9918	+	8.01268i	−0.825551	+	0.551615i	0.0694988	+	0.997582i	$0.477860\pi$
$212$	16.1281	−	10.6553i	1.10769	−	0.731806i
$213$	−3.27191	−	7.94104i	−0.224188	−	0.544111i
$214$	−5.21223	+	12.4912i	−0.356301	+	0.853883i
$215$	1.23288	−	2.97643i	0.0840815	−	0.202991i
$216$	−14.3747	−	3.06053i	−0.978077	−	0.208243i
$217$	2.11978	+	5.11760i	0.143900	+	0.347405i
$218$	−0.0254189	+	9.74914i	−0.00172159	+	0.660295i
$219$	0.460254	−	1.10530i	0.0311011	−	0.0746896i
$220$	18.4336	+	0.0961247i	1.24280	+	0.00648073i
$221$	2.85378	−	14.3469i	0.191966	−	0.965079i
$222$	4.19490	+	10.2570i	0.281543	+	0.688404i
$223$	15.4594			1.03524			0.517618	−	0.855612i	$-0.326819\pi$
$223$	15.4594			1.03524			0.517618	+	0.855612i	$0.326819\pi$
$224$	2.45364	+	3.77784i	0.163941	+	0.252417i
$225$	−2.35198	−	5.73877i	−0.156799	−	0.382585i
$226$	−4.22873	−	21.5528i	−0.281291	−	1.43367i
$227$	8.37592	+	1.66607i	0.555929	+	0.110581i	0.465056	−	0.885281i	$-0.346034\pi$
$227$	8.37592	+	1.66607i	0.555929	+	0.110581i	0.0908733	+	0.995862i	$0.471034\pi$
$228$	−5.22045	+	7.69441i	−0.345733	+	0.509575i
$229$	1.16297	−	1.74050i	0.0768510	−	0.115016i	−0.791053	−	0.611748i	$-0.790467\pi$
$229$	1.16297	−	1.74050i	0.0768510	−	0.115016i	0.867904	+	0.496732i	$0.165467\pi$
$230$	0.0477300	−	18.3063i	0.00314723	−	1.20708i
$231$	−6.18012	+	4.11274i	−0.406622	+	0.270598i
$232$	−10.7640	−	4.55756i	−0.706691	−	0.299218i
$233$	9.34754	+	3.87188i	0.612378	+	0.253655i	0.667245	−	0.744839i	$-0.267473\pi$
$233$	9.34754	+	3.87188i	0.612378	+	0.253655i	−0.0548670	+	0.998494i	$0.517473\pi$
$234$	12.1691	+	0.0772151i	0.795521	+	0.00504771i
$235$	−11.7148	+	2.33022i	−0.764189	+	0.152007i
$236$	−1.00386	+	4.91273i	−0.0653459	+	0.319792i
$237$	4.55161	−	4.53463i	0.295659	−	0.294556i
$238$	3.17833	+	4.78367i	0.206021	+	0.310079i
$239$	−8.11977	−	8.11977i	−0.525224	−	0.525224i	0.393920	−	0.919145i	$-0.371119\pi$
$239$	−8.11977	−	8.11977i	−0.525224	−	0.525224i	−0.919145	+	0.393920i	$0.871119\pi$
$240$	11.6642	−	2.17138i	0.752918	−	0.140162i
$241$	−20.6545	+	20.6545i	−1.33047	+	1.33047i	−0.425523	+	0.904948i	$0.639910\pi$
$241$	−20.6545	+	20.6545i	−1.33047	+	1.33047i	−0.904948	+	0.425523i	$0.860090\pi$
$242$	24.9088	+	5.02222i	1.60120	+	0.322840i
$243$	0.145663	−	15.5878i	0.00934431	−	0.999956i
$244$	−2.12772	+	0.411707i	−0.136213	+	0.0263568i
$245$	−2.12678	−	10.6921i	−0.135875	−	0.683091i
$246$	−2.40578	+	1.59196i	−0.153387	+	0.101500i
$247$	2.94633	−	7.11307i	0.187470	−	0.452594i
$248$	3.98912	−	19.2659i	0.253310	−	1.22338i
$249$	−4.37255	+	2.90984i	−0.277099	+	0.184403i
$250$	12.0712	+	12.1343i	0.763452	+	0.767443i
$251$	6.36129	+	4.25048i	0.401521	+	0.268288i	0.739893	−	0.672725i	$-0.234876\pi$
$251$	6.36129	+	4.25048i	0.401521	+	0.268288i	−0.338372	+	0.941013i	$0.609876\pi$
$252$	−3.40864	+	3.34815i	−0.214724	+	0.210914i
$253$	7.93686	−	39.9013i	0.498986	−	2.50857i
$254$	15.9936	−	23.8016i	1.00353	−	1.49344i
$255$	14.8415	−	2.92334i	0.929412	−	0.183067i
$256$	0.333710	−	15.9965i	0.0208568	−	0.999782i
$257$		−	2.41242i		−	0.150483i	−0.997165	−	0.0752414i	$-0.976027\pi$
$257$		−	2.41242i		−	0.150483i	0.997165	−	0.0752414i	$-0.0239727\pi$
$258$	1.78250	−	4.24943i	0.110973	−	0.264558i
$259$	3.53342	+	0.702840i	0.219556	+	0.0436724i
$260$	−9.09576	+	3.71214i	−0.564095	+	0.230217i
$261$	2.46420	−	12.1508i	0.152530	−	0.752116i
$262$	1.28063	−	1.27397i	0.0791173	−	0.0787058i
$263$	−15.6931	+	6.50028i	−0.967676	+	0.400825i	−0.809847	−	0.586642i	$-0.800450\pi$
$263$	−15.6931	+	6.50028i	−0.967676	+	0.400825i	−0.157830	+	0.987466i	$0.550450\pi$
$264$	26.3658	+	0.255513i	1.62271	+	0.0157258i
$265$	−15.2915	−	6.33393i	−0.939347	−	0.389090i
$266$	1.14951	+	2.79576i	0.0704809	+	0.171419i
$267$	−10.4661	−	25.4015i	−0.640514	−	1.55455i
$268$	5.37266	+	27.7661i	0.328187	+	1.69608i
$269$	9.94484	+	14.8835i	0.606348	+	0.907464i	0.999930	−	0.0118258i	$-0.00376437\pi$
$269$	9.94484	+	14.8835i	0.606348	+	0.907464i	−0.393582	+	0.919289i	$0.628764\pi$
$270$	4.72012	+	11.6655i	0.287258	+	0.709939i
$271$	20.7141	+	20.7141i	1.25829	+	1.25829i	0.951909	+	0.306382i	$0.0991183\pi$
$271$	20.7141	+	20.7141i	1.25829	+	1.25829i	0.306382	+	0.951909i	$0.400882\pi$
$272$	0.212743	−	20.3981i	0.0128994	−	1.23682i
$273$	2.20412	−	3.28540i	0.133400	−	0.198841i
$274$	−10.6331	+	7.06478i	−0.642369	+	0.426799i
$275$	6.18171	+	9.25159i	0.372771	+	0.557892i
$276$	0.185477	−	26.1840i	0.0111644	−	1.57609i
$277$	4.98281	+	25.0503i	0.299388	+	1.50513i	0.778652	+	0.627456i	$0.215904\pi$
$277$	4.98281	+	25.0503i	0.299388	+	1.50513i	−0.479264	+	0.877671i	$0.659096\pi$
$278$	2.84078	−	6.80799i	0.170379	−	0.408316i
$279$	20.8678	+	0.0779997i	1.24932	+	0.00466972i
$280$	1.50390	−	3.55189i	0.0898751	−	0.212266i
$281$	−28.1242	+	11.6494i	−1.67775	+	0.694947i	−0.999215	−	0.0396211i	$-0.987385\pi$
$281$	−28.1242	+	11.6494i	−1.67775	+	0.694947i	−0.678535	+	0.734568i	$0.737385\pi$
$282$	−16.7711	+	3.25801i	−0.998706	+	0.194012i
$283$	9.93766	+	6.64013i	0.590732	+	0.394715i	0.814701	−	0.579882i	$-0.196901\pi$
$283$	9.93766	+	6.64013i	0.590732	+	0.394715i	−0.223968	+	0.974596i	$0.571901\pi$
$284$	6.97597	+	7.04910i	0.413947	+	0.418287i
$285$	7.96159	+	0.0148793i	0.471604	+	0.000881377i
$286$	−21.4240	+	4.20347i	−1.26683	+	0.248556i
$287$			0.937850i			0.0553595i
$288$	16.6977	−	3.03114i	0.983920	−	0.178612i
$289$		−	9.00794i		−	0.529879i
$290$	1.92702	+	9.82153i	0.113158	+	0.576740i
$291$	0.258617		0.000483328i	0.0151604		2.83332e-5i
$292$	−0.00720927	+	1.38251i	−0.000421891	+	0.0809051i
$293$	7.07296	+	4.72600i	0.413207	+	0.276096i	0.744749	−	0.667344i	$-0.232569\pi$
$293$	7.07296	+	4.72600i	0.413207	+	0.276096i	−0.331542	+	0.943440i	$0.607569\pi$
$294$	−2.97358	−	15.3070i	−0.173423	−	0.892720i
$295$	3.96663	−	1.64303i	0.230946	−	0.0956610i
$296$	−8.97708	−	9.11863i	−0.521782	−	0.530010i
$297$	5.30213	+	27.4593i	0.307661	+	1.59335i
$298$	22.1582	+	9.24597i	1.28359	+	0.535604i
$299$	4.22985	+	21.2649i	0.244618	+	1.22978i
$300$	5.02795	+	5.09969i	0.290289	+	0.294431i
$301$	−0.832301	−	1.24563i	−0.0479730	−	0.0717967i
$302$	−5.04947	−	7.59989i	−0.290564	−	0.437325i
$303$	2.23603	−	3.33296i	0.128457	−	0.191474i
$304$	2.20433	−	10.5079i	0.126427	−	0.602672i
$305$	1.31214	+	1.31214i	0.0751330	+	0.0751330i
$306$	21.2472	−	4.08636i	1.21462	−	0.233602i
$307$	−6.07810	−	9.09652i	−0.346895	−	0.519166i	0.616463	−	0.787384i	$-0.288565\pi$
$307$	−6.07810	−	9.09652i	−0.346895	−	0.519166i	−0.963358	+	0.268218i	$0.913565\pi$
$308$	4.79941	−	7.10237i	0.273472	−	0.404695i
$309$	11.9090	+	28.9035i	0.677478	+	1.64426i
$310$	−15.5807	+	6.40619i	−0.884924	+	0.363847i
$311$	11.0707	+	4.58563i	0.627761	+	0.260027i	0.673802	−	0.738912i	$-0.264660\pi$
$311$	11.0707	+	4.58563i	0.627761	+	0.260027i	−0.0460403	+	0.998940i	$0.514660\pi$
$312$	−13.0338	+	5.25140i	−0.737896	+	0.297302i
$313$	20.1965	−	8.36565i	1.14157	−	0.472855i	0.269873	−	0.962896i	$-0.413018\pi$
$313$	20.1965	−	8.36565i	1.14157	−	0.472855i	0.871699	+	0.490041i	$0.163018\pi$
$314$	−13.3554	−	13.4252i	−0.753690	−	0.757630i
$315$	4.00951	+	0.813133i	0.225910	+	0.0458148i
$316$	−2.87479	+	6.83926i	−0.161720	+	0.384739i
$317$	0.376393	+	0.0748693i	0.0211404	+	0.00420508i	0.205649	−	0.978626i	$-0.434069\pi$
$317$	0.376393	+	0.0748693i	0.0211404	+	0.00420508i	−0.184509	+	0.982831i	$0.559069\pi$
$318$	−21.8315	−	9.15761i	−1.22425	−	0.513533i
$319$			22.2430i			1.24537i
$320$	−11.5088	+	7.43218i	−0.643361	+	0.415472i
$321$	16.2645	−	3.20362i	0.907796	−	0.178809i
$322$	−7.06564	−	4.74780i	−0.393753	−	0.264585i
$323$	2.67053	−	13.4257i	0.148593	−	0.747025i
$324$	6.67672	+	16.7159i	0.370929	+	0.928661i
$325$	−4.93051	−	3.29446i	−0.273495	−	0.182744i
$326$	20.8724	−	20.7639i	1.15602	−	1.15000i
$327$	9.94034	−	6.61508i	0.549702	−	0.365815i
$328$	1.87226	−	2.75514i	0.103378	−	0.152127i
$329$	−2.12551	+	5.13142i	−0.117183	+	0.282905i
$330$	−12.4588	−	18.8279i	−0.685837	−	1.03644i
$331$	1.37154	+	6.89518i	0.0753865	+	0.378994i	0.999998	−	0.00191754i	$-0.000610372\pi$
$331$	1.37154	+	6.89518i	0.0753865	+	0.378994i	−0.924612	+	0.380911i	$0.875610\pi$
$332$	3.39567	−	5.02506i	0.186362	−	0.275786i
$333$	7.58244	−	11.2566i	0.415515	−	0.616858i
$334$	3.26677	−	16.2023i	0.178750	−	0.886548i
$335$	17.1231	−	17.1231i	0.935534	−	0.935534i
$336$	2.17384	−	5.07081i	0.118592	−	0.276635i
$337$	17.3354	+	17.3354i	0.944318	+	0.944318i	0.998529	−	0.0542113i	$-0.0172645\pi$
$337$	17.3354	+	17.3354i	0.944318	+	0.944318i	−0.0542113	+	0.998529i	$0.517264\pi$
$338$	−5.62171	+	3.73514i	−0.305780	+	0.203165i
$339$	−19.0566	+	18.9856i	−1.03502	+	1.03115i
$340$	−14.5735	+	9.62817i	−0.790360	+	0.522161i
$341$	−36.7189	+	7.30384i	−1.98844	+	0.395525i
$342$	11.3877	+	0.0722569i	0.615778	+	0.00390721i
$343$	−9.83341	−	4.07313i	−0.530954	−	0.219929i
$344$	−0.0416200	+	5.32085i	−0.00224400	+	0.286881i
$345$	−18.6653	+	12.4214i	−1.00491	+	0.668744i
$346$	−17.3839	−	0.0453249i	−0.934562	−	0.00243668i
$347$	10.1675	−	15.2167i	0.545819	−	0.816875i	−0.451328	−	0.892358i	$-0.649050\pi$
$347$	10.1675	−	15.2167i	0.545819	−	0.816875i	0.997147	+	0.0754825i	$0.0240497\pi$
$348$	2.69342	+	14.0605i	0.144382	+	0.753723i
$349$	13.3260	+	2.65070i	0.713322	+	0.141889i	0.538395	−	0.842693i	$-0.319031\pi$
$349$	13.3260	+	2.65070i	0.713322	+	0.141889i	0.174927	+	0.984581i	$0.444031\pi$
$350$	2.28464	−	0.448254i	0.122119	−	0.0239602i
$351$	−8.21082	−	12.4388i	−0.438261	−	0.663933i
$352$	−28.2780	+	11.2835i	−1.50722	+	0.601415i
$353$	13.2033			0.702743			0.351372	−	0.936236i	$-0.385715\pi$
$353$	13.2033			0.702743			0.351372	+	0.936236i	$0.385715\pi$
$354$	5.68417	−	2.32471i	0.302110	−	0.123557i
$355$	1.65665	−	8.32857i	0.0879261	−	0.442034i
$356$	22.3145	+	22.5484i	1.18267	+	1.19506i
$357$	2.70396	−	6.49357i	0.143108	−	0.343676i
$358$	−11.0557	−	0.0288255i	−0.584312	−	0.00152348i
$359$	−9.51903	−	22.9810i	−0.502395	−	1.21289i	−0.948176	−	0.317747i	$-0.897074\pi$
$359$	−9.51903	−	22.9810i	−0.502395	−	1.21289i	0.445780	−	0.895142i	$-0.352926\pi$
$360$	−10.1555	−	10.3931i	−0.535244	−	0.547763i
$361$	−4.51385	+	10.8974i	−0.237571	+	0.573547i
$362$	17.0165	+	7.10051i	0.894369	+	0.373195i
$363$	−11.8557	−	28.7741i	−0.622262	−	1.51025i
$364$	−0.914582	+	4.47581i	−0.0479371	+	0.234596i
$365$	0.984283	−	0.657677i	0.0515197	−	0.0344244i
$366$	1.86842	+	1.88522i	0.0976636	+	0.0985419i
$367$	6.04728	−	6.04728i	0.315665	−	0.315665i	−0.531434	−	0.847100i	$-0.678347\pi$
$367$	6.04728	−	6.04728i	0.315665	−	0.315665i	0.847100	+	0.531434i	$0.178347\pi$
$368$	11.2787	+	28.0531i	0.587941	+	1.46237i
$369$	3.25913	+	1.36427i	0.169664	+	0.0710211i
$370$	−2.16553	+	10.7404i	−0.112581	+	0.558368i
$371$	−6.39943	+	4.27597i	−0.332242	+	0.221997i
$372$	−22.3268	+	9.06331i	−1.15759	+	0.469911i
$373$	26.8149	−	5.33382i	1.38842	−	0.276175i	0.556401	−	0.830914i	$-0.312182\pi$
$373$	26.8149	−	5.33382i	1.38842	−	0.276175i	0.832024	+	0.554739i	$0.187182\pi$
$374$	−35.9010	+	14.7612i	−1.85640	+	0.763281i
$375$	4.12804	−	20.5522i	0.213171	−	1.06131i
$376$	16.4882	−	10.8315i	0.850313	−	0.558590i
$377$	−4.53636	−	10.9517i	−0.233635	−	0.564044i
$378$	5.72978	+	1.18873i	0.294708	+	0.0611418i
$379$	5.46511	−	8.17912i	0.280724	−	0.420133i	−0.664134	−	0.747614i	$-0.731200\pi$
$379$	5.46511	−	8.17912i	0.280724	−	0.420133i	0.944858	+	0.327481i	$0.106200\pi$
$380$	−8.51170	+	3.47377i	−0.436641	+	0.178201i
$381$	−35.1207	−	0.0656367i	−1.79929	−	0.00336267i
$382$	−13.6257	−	9.15587i	−0.697150	−	0.468455i
$383$	−9.12965			−0.466503			−0.233252	−	0.972416i	$-0.574937\pi$
$383$	−9.12965			−0.466503			−0.233252	+	0.972416i	$0.574937\pi$
$384$	−16.5091	+	10.5569i	−0.842479	+	0.538730i
$385$	−7.33971			−0.374066
$386$	−27.8005	−	18.6807i	−1.41501	−	0.950825i
$387$	−5.53942	+	1.08035i	−0.281585	+	0.0549173i
$388$	−0.276487	+	0.112839i	−0.0140365	+	0.00572853i
$389$	−0.446040	+	0.667546i	−0.0226151	+	0.0338459i	−0.842605	−	0.538532i	$-0.818979\pi$
$389$	−0.446040	+	0.667546i	−0.0226151	+	0.0338459i	0.819990	+	0.572378i	$0.193979\pi$
$390$	9.97423	+	6.72934i	0.505065	+	0.340753i
$391$	14.7519	+	35.6143i	0.746038	+	1.80110i
$392$	9.88585	+	15.0487i	0.499311	+	0.760075i
$393$	−2.16903	−	0.435662i	−0.109413	−	0.0219763i
$394$	13.9882	−	5.75142i	0.704716	−	0.289753i
$395$	6.23036	−	1.23930i	0.313484	−	0.0623558i
$396$	−17.6999	−	27.0101i	−0.889454	−	1.35731i
$397$	−26.1544	+	17.4758i	−1.31265	+	0.877086i	−0.997410	−	0.0719252i	$-0.977086\pi$
$397$	−26.1544	+	17.4758i	−1.31265	+	0.877086i	−0.315242	+	0.949011i	$0.602086\pi$
$398$	0.0351493	−	0.174331i	0.00176187	−	0.00873840i
$399$	2.06259	−	3.07443i	0.103259	−	0.153914i
$400$	−7.60650	−	3.24406i	−0.380325	−	0.162203i
$401$	−12.4507	+	12.4507i	−0.621757	+	0.621757i	−0.945981	−	0.324223i	$-0.894897\pi$
$401$	−12.4507	+	12.4507i	−0.621757	+	0.621757i	0.324223	+	0.945981i	$0.394897\pi$
$402$	24.6016	−	24.3823i	1.22701	−	1.21608i
$403$	16.5897	−	11.0849i	0.826390	−	0.552176i
$404$	−0.927823	+	4.54061i	−0.0461609	+	0.225904i
$405$	8.65828	−	12.7507i	0.430233	−	0.633585i
$406$	4.29524	+	1.79228i	0.213169	+	0.0889494i
$407$	−9.31805	+	22.4958i	−0.461879	+	1.11507i
$408$	−20.9068	+	13.6783i	−1.03504	+	0.677177i
$409$	−6.02622	−	14.5486i	−0.297977	−	0.719381i	−0.999974	−	0.00720056i	$-0.997708\pi$
$409$	−6.02622	−	14.5486i	−0.297977	−	0.719381i	0.701997	−	0.712180i	$-0.252292\pi$
$410$	−2.85224	−	0.00743664i	−0.140862	−	0.000367269i
$411$	14.4339	+	6.01034i	0.711971	+	0.296468i
$412$	−25.3908	−	25.6570i	−1.25092	−	1.26403i
$413$	0.389497	−	1.95813i	0.0191659	−	0.0963534i
$414$	−26.7774	+	17.6473i	−1.31604	+	0.867320i
$415$	−5.19298			−0.254913
$416$	11.6220	−	11.3229i	0.569815	−	0.555149i
$417$	−8.86451	+	1.74604i	−0.434097	+	0.0855042i
$418$	−20.0484	+	3.93355i	−0.980597	+	0.192396i
$419$	20.4761	+	4.07294i	1.00032	+	0.198976i	0.667977	−	0.744182i	$-0.267160\pi$
$419$	20.4761	+	4.07294i	1.00032	+	0.198976i	0.332344	+	0.943158i	$0.392160\pi$
$420$	−4.63967	+	0.888771i	−0.226393	+	0.0433676i
$421$	4.56603	−	6.83355i	0.222535	−	0.333047i	−0.703356	−	0.710838i	$-0.748316\pi$
$421$	4.56603	−	6.83355i	0.222535	−	0.333047i	0.925891	+	0.377791i	$0.123316\pi$
$422$	−20.3963	−	0.0531794i	−0.992878	−	0.00258873i
$423$	14.7403	+	14.8509i	0.716700	+	0.722078i
$424$	27.3360	+	0.213823i	1.32755	+	0.0103842i
$425$	−9.74051	−	4.03465i	−0.472484	−	0.195709i
$426$	2.42291	−	11.9021i	0.117390	−	0.576660i
$427$	0.846314	−	0.168342i	0.0409560	−	0.00814665i
$428$	−15.9708	+	10.5513i	−0.771978	+	0.510016i
$429$	18.8721	+	18.9428i	0.911155	+	0.914567i
$430$	3.79486	−	2.52136i	0.183004	−	0.121591i
$431$	22.1459	+	22.1459i	1.06673	+	1.06673i	0.997608	+	0.0691236i	$0.0220203\pi$
$431$	22.1459	+	22.1459i	1.06673	+	1.06673i	0.0691236	+	0.997608i	$0.477980\pi$
$432$	−14.4594	−	14.9307i	−0.695677	−	0.718354i
$433$	−7.75001	+	7.75001i	−0.372442	+	0.372442i	−0.868366	−	0.495924i	$-0.834829\pi$
$433$	−7.75001	+	7.75001i	−0.372442	+	0.372442i	0.495924	+	0.868366i	$0.334829\pi$
$434$	−1.54830	+	7.67915i	−0.0743209	+	0.368611i
$435$	8.68405	−	8.65165i	0.416368	−	0.414815i
$436$	−7.71955	+	11.4237i	−0.369700	+	0.547097i
$437$	3.95824	+	19.8994i	0.189348	+	0.951918i
$438$	1.41207	−	0.934403i	0.0674715	−	0.0446475i
$439$	−1.60466	+	3.87398i	−0.0765861	+	0.184895i	−0.957536	−	0.288315i	$-0.906905\pi$
$439$	−1.60466	+	3.87398i	−0.0765861	+	0.184895i	0.880950	+	0.473210i	$0.156905\pi$
$440$	21.5620	+	14.6525i	1.02793	+	0.698531i
$441$	−13.5544	+	13.4535i	−0.645448	+	0.640641i
$442$	14.6661	−	14.5898i	0.697595	−	0.693967i
$443$	−13.5119	−	9.02838i	−0.641971	−	0.428951i	0.191517	−	0.981489i	$-0.438659\pi$
$443$	−13.5119	−	9.02838i	−0.641971	−	0.428951i	−0.833488	+	0.552538i	$0.813659\pi$
$444$	−3.16622	+	15.3487i	−0.150262	+	0.728415i
$445$	5.29925	−	26.6411i	0.251209	−	1.26291i
$446$	18.1466	+	12.1937i	0.859265	+	0.577388i
$447$	−5.68290	−	28.8516i	−0.268792	−	1.36463i
$448$	−0.0996565	+	6.36984i	−0.00470833	+	0.300947i
$449$			4.44342i			0.209698i	0.994488	+	0.104849i	$0.0334359\pi$
$449$			4.44342i			0.209698i	−0.994488	+	0.104849i	$0.966564\pi$
$450$	1.76569	−	8.59145i	0.0832353	−	0.405005i
$451$	−6.21687	−	1.23661i	−0.292741	−	0.0582298i
$452$	12.0362	−	28.6346i	0.566133	−	1.34686i
$453$	−4.29582	+	10.3165i	−0.201835	+	0.484709i
$454$	8.51772	+	8.56225i	0.399756	+	0.401846i
$455$	3.61385	−	1.49690i	0.169420	−	0.0701760i
$456$	−12.1969	+	4.91420i	−0.571173	+	0.230128i
$457$	3.26785	+	1.35359i	0.152864	+	0.0633182i	0.457803	−	0.889053i	$-0.348636\pi$
$457$	3.26785	+	1.35359i	0.152864	+	0.0633182i	−0.304940	+	0.952372i	$0.598636\pi$
$458$	2.73795	−	1.12574i	0.127936	−	0.0526025i
$459$	−18.6325	−	18.8426i	−0.869691	−	0.879498i
$460$	14.4953	−	21.4507i	0.675845	−	1.00014i
$461$	−0.445238	−	0.666345i	−0.0207368	−	0.0310348i	0.820956	−	0.570991i	$-0.193441\pi$
$461$	−0.445238	−	0.666345i	−0.0207368	−	0.0310348i	−0.841693	+	0.539956i	$0.818441\pi$
$462$	−10.4983	−	0.0469927i	−0.488426	−	0.00218630i
$463$	13.5750	+	13.5750i	0.630885	+	0.630885i	0.948290	−	0.317405i	$-0.102811\pi$
$463$	13.5750	+	13.5750i	0.630885	+	0.630885i	−0.317405	+	0.948290i	$0.602811\pi$
$464$	−9.04022	−	13.8400i	−0.419682	−	0.642504i
$465$	17.1338	+	11.4948i	0.794559	+	0.533058i
$466$	7.91838	+	11.9178i	0.366812	+	0.552084i
$467$	−22.5240	−	33.7096i	−1.04229	−	1.55989i	−0.809284	−	0.587417i	$-0.800145\pi$
$467$	−22.5240	−	33.7096i	−1.04229	−	1.55989i	−0.233003	−	0.972476i	$-0.574855\pi$
$468$	14.2235	+	9.68914i	0.657482	+	0.447881i
$469$	−2.19682	−	11.0442i	−0.101440	−	0.509972i
$470$	−15.5891	−	6.50488i	−0.719071	−	0.300048i
$471$	−4.56720	+	22.7387i	−0.210445	+	1.04774i
$472$	−5.05332	+	4.97488i	−0.232598	+	0.228987i
$473$	9.35452	−	3.87477i	0.430121	−	0.178162i
$474$	8.91951	−	1.73273i	0.409686	−	0.0795870i
$475$	−4.61391	−	3.08292i	−0.211701	−	0.141454i
$476$	−0.0423539	+	8.12211i	−0.00194129	+	0.372276i
$477$	5.55033	+	28.4589i	0.254132	+	1.30304i
$478$	−3.12664	−	15.9357i	−0.143009	−	0.728882i
$479$		−	0.596301i		−	0.0272457i	−0.999907	−	0.0136228i	$-0.995664\pi$
$479$		−	0.596301i		−	0.0272457i	0.999907	−	0.0136228i	$-0.00433642\pi$
$480$	15.4043	+	6.65138i	0.703109	+	0.303593i
$481$		−	12.9766i		−	0.591682i
$482$	−40.5361	+	7.95331i	−1.84637	+	0.362263i
$483$	−0.0194847	+	10.4258i	−0.000886582	+	0.474389i
$484$	25.2772	+	25.5422i	1.14896	+	1.16101i
$485$	0.212605	+	0.142058i	0.00965392	+	0.00645054i
$486$	12.4660	−	18.1824i	0.565468	−	0.824770i
$487$	−14.1819	+	5.87434i	−0.642644	+	0.266192i	−0.680114	−	0.733106i	$-0.738070\pi$
$487$	−14.1819	+	5.87434i	−0.642644	+	0.266192i	0.0374708	+	0.999298i	$0.488070\pi$
$488$	−2.82230	−	1.19498i	−0.127760	−	0.0540943i
$489$	−35.3521	−	7.10069i	−1.59868	−	0.321104i
$490$	5.93698	−	14.2281i	0.268206	−	0.642760i
$491$	0.00640918	+	0.0322211i	0.000289242	+	0.00145412i	0.980930	−	0.194363i	$-0.0622640\pi$
$491$	0.00640918	+	0.0322211i	0.000289242	+	0.00145412i	−0.980640	+	0.195817i	$0.937264\pi$
$492$	−4.07963	−	0.0288985i	−0.183924	−	0.00130284i
$493$	−11.7092	−	17.5241i	−0.527357	−	0.789245i
$494$	9.06896	−	6.02554i	0.408032	−	0.271102i
$495$	−10.6769	+	25.5063i	−0.479892	+	1.14642i
$496$	19.8786	−	19.4683i	0.892577	−	0.874150i
$497$	−2.79218	−	2.79218i	−0.125246	−	0.125246i
$498$	−7.42776	−	0.0332482i	−0.332846	−	0.00148989i
$499$	5.40096	+	8.08311i	0.241780	+	0.361850i	0.932437	−	0.361333i	$-0.117678\pi$
$499$	5.40096	+	8.08311i	0.241780	+	0.361850i	−0.690656	+	0.723183i	$0.742678\pi$
$500$	4.59843	+	23.7648i	0.205648	+	1.06280i
$501$	−18.7165	+	7.71168i	−0.836192	+	0.344532i
$502$	4.11443	+	10.0068i	0.183636	+	0.446627i
$503$	8.11650	+	3.36197i	0.361897	+	0.149903i	0.556220	−	0.831035i	$-0.312251\pi$
$503$	8.11650	+	3.36197i	0.361897	+	0.149903i	−0.194323	+	0.980938i	$0.562251\pi$
$504$	−6.64203	+	1.24154i	−0.295859	+	0.0553027i
$505$	3.66617	−	1.51858i	0.163142	−	0.0675758i
$506$	40.7890	−	40.5768i	1.81329	−	1.80386i
$507$	7.63117	+	3.17766i	0.338912	+	0.141125i
$508$	37.5473	−	15.3237i	1.66589	−	0.679880i
$509$	26.0046	+	5.17263i	1.15263	+	0.229273i	0.734173	−	0.678962i	$-0.237570\pi$
$509$	26.0046	+	5.17263i	1.15263	+	0.229273i	0.418460	+	0.908235i	$0.362570\pi$
$510$	19.7271	+	8.27489i	0.873532	+	0.366418i
$511$		−	0.550472i		−	0.0243514i
$512$	13.0091	−	18.5139i	0.574926	−	0.818205i
$513$	−7.68359	−	11.6401i	−0.339239	−	0.513921i
$514$	1.90282	−	2.83176i	0.0839297	−	0.124903i
$515$	−6.02983	+	30.3140i	−0.265706	+	1.33579i
$516$	5.44410	−	3.58212i	0.239663	−	0.157694i
$517$	−31.2129	−	20.8558i	−1.37274	−	0.917235i
$518$	3.59323	+	3.61202i	0.157878	+	0.158703i
$519$	11.7955	+	17.7248i	0.517763	+	0.778031i
$520$	−13.6048	−	2.81696i	−0.596610	−	0.123532i
$521$	1.81662	−	4.38572i	0.0795877	−	0.192142i	−0.879077	−	0.476680i	$-0.841840\pi$
$521$	1.81662	−	4.38572i	0.0795877	−	0.192142i	0.958665	+	0.284538i	$0.0918402\pi$
$522$	12.4766	−	12.3192i	0.546085	−	0.539199i
$523$	−4.42990	−	22.2706i	−0.193706	−	0.973826i	−0.948237	−	0.317562i	$-0.897136\pi$
$523$	−4.42990	−	22.2706i	−0.193706	−	0.973826i	0.754531	−	0.656264i	$-0.227864\pi$
$524$	2.50808	−	0.485306i	0.109566	−	0.0212007i
$525$	−2.01251	−	2.02004i	−0.0878331	−	0.0881620i
$526$	−23.5480	−	4.74786i	−1.02674	−	0.207016i
$527$	25.0840	−	25.0840i	1.09268	−	1.09268i
$528$	30.7473	+	21.0962i	1.33810	+	0.918094i
$529$	−24.1381	−	24.1381i	−1.04948	−	1.04948i
$530$	−12.9535	−	19.4962i	−0.562665	−	0.846860i
$531$	−6.23813	−	4.20200i	−0.270712	−	0.182351i
$532$	−0.855855	+	4.18841i	−0.0371060	+	0.181590i
$533$	3.31320	−	0.659036i	0.143511	−	0.0285460i
$534$	7.75033	−	38.0721i	0.335390	−	1.64754i
$535$	15.1423	+	6.27214i	0.654658	+	0.271168i
$536$	−15.5942	+	36.8302i	−0.673567	+	1.59082i
$537$	7.50162	+	11.2725i	0.323719	+	0.486445i
$538$	−0.0660030	+	25.3147i	−0.00284559	+	1.09139i
$539$	19.0350	−	28.4879i	0.819895	−	1.22706i
$540$	−3.66066	+	17.4163i	−0.157530	+	0.749476i
$541$	−1.34295	−	0.267129i	−0.0577379	−	0.0114848i	0.166137	−	0.986103i	$-0.446871\pi$
$541$	−1.34295	−	0.267129i	−0.0577379	−	0.0114848i	−0.223875	+	0.974618i	$0.571871\pi$
$542$	7.97626	+	40.6531i	0.342610	+	1.74620i
$543$	−4.36423	−	22.1568i	−0.187287	−	0.950838i
$544$	16.3389	−	23.7759i	0.700524	−	1.01938i
$545$	11.8055			0.505691
$546$	5.17863	−	2.11795i	0.221625	−	0.0906400i
$547$	−5.22689	+	26.2774i	−0.223486	+	1.12354i	0.692219	+	0.721687i	$0.256633\pi$
$547$	−5.22689	+	26.2774i	−0.223486	+	1.12354i	−0.915705	+	0.401851i	$0.868367\pi$
$548$	−18.0538	−	0.0941439i	−0.771220	−	0.00402163i
$549$	0.646107	−	3.18592i	0.0275752	−	0.135972i
$550$	−0.0410274	+	15.7356i	−0.00174942	+	0.670968i
$551$	−4.24507	−	10.2485i	−0.180846	−	0.436601i
$552$	20.8706	−	30.5891i	0.888311	−	1.30196i
$553$	1.13042	−	2.72908i	0.0480704	−	0.116052i
$554$	−13.9097	+	33.3349i	−0.590966	+	1.41626i
$555$	12.4071	−	5.11205i	0.526652	−	0.216994i
$556$	8.70443	−	5.75069i	0.369150	−	0.243883i
$557$	−6.81107	+	4.55101i	−0.288594	+	0.192833i	−0.691437	−	0.722437i	$-0.743022\pi$
$557$	−6.81107	+	4.55101i	−0.288594	+	0.192833i	0.402843	+	0.915269i	$0.368022\pi$
$558$	24.4336	+	16.5512i	1.03436	+	0.700669i
$559$	−3.81563	+	3.81563i	−0.161384	+	0.161384i
$560$	4.56690	−	2.98308i	0.192987	−	0.126058i
$561$	39.4796	+	26.4863i	1.66683	+	1.11825i
$562$	−42.2014	−	8.50883i	−1.78016	−	0.358923i
$563$	−1.37594	+	0.919371i	−0.0579888	+	0.0387469i	−0.584227	−	0.811590i	$-0.698602\pi$
$563$	−1.37594	+	0.919371i	−0.0579888	+	0.0387469i	0.526238	+	0.850337i	$0.323602\pi$
$564$	−22.2561	−	9.40403i	−0.937152	−	0.395981i
$565$	−26.0853	+	5.18868i	−1.09741	+	0.218289i
$566$	6.42759	+	15.6327i	0.270172	+	0.657093i
$567$	−2.69310	−	6.64172i	−0.113100	−	0.278926i
$568$	2.62851	+	13.7767i	0.110290	+	0.578060i
$569$	−8.37450	−	20.2178i	−0.351077	−	0.847575i	−0.996488	−	0.0837394i	$-0.973314\pi$
$569$	−8.37450	−	20.2178i	−0.351077	−	0.847575i	0.645410	−	0.763836i	$-0.276686\pi$
$570$	9.33376	+	6.29723i	0.390948	+	0.263762i
$571$	−12.6472	+	18.9278i	−0.529267	+	0.792104i	−0.995718	−	0.0924431i	$-0.970532\pi$
$571$	−12.6472	+	18.9278i	−0.529267	+	0.792104i	0.466451	+	0.884547i	$0.345532\pi$
$572$	−28.4635	−	11.9643i	−1.19012	−	0.500251i
$573$	−0.0375751	+	20.1055i	−0.00156972	+	0.839920i
$574$	−0.739737	+	1.10087i	−0.0308760	+	0.0459494i
$575$	15.6268			0.651683
$576$	21.9909	+	9.61240i	0.916289	+	0.400517i
$577$	3.02364			0.125876			0.0629378	−	0.998017i	$-0.479953\pi$
$577$	3.02364			0.125876			0.0629378	+	0.998017i	$0.479953\pi$
$578$	7.10509	−	10.5737i	0.295533	−	0.439809i
$579$	−0.0766645	+	41.0214i	−0.00318607	+	1.70479i
$580$	−5.48483	+	13.0487i	−0.227745	+	0.541817i
$581$	−1.34158	+	2.00782i	−0.0556582	+	0.0832984i
$582$	0.303190	+	0.204554i	0.0125676	+	0.00847903i
$583$	−19.9067	−	48.0590i	−0.824452	−	1.99040i
$584$	−1.09893	+	1.61713i	−0.0454739	+	0.0669174i
$585$	0.0550803	−	14.7360i	0.00227729	−	0.609260i
$586$	4.57473	+	11.1263i	0.188981	+	0.459625i
$587$	−20.2802	+	4.03398i	−0.837054	+	0.166500i	−0.594963	−	0.803753i	$-0.702833\pi$
$587$	−20.2802	+	4.03398i	−0.837054	+	0.166500i	−0.242091	+	0.970254i	$0.577833\pi$
$588$	8.58303	−	20.3131i	0.353958	−	0.837698i
$589$	15.5244	−	10.3731i	0.639672	−	0.427415i
$590$	5.95208	+	1.20008i	0.245043	+	0.0494066i
$591$	−15.3825	−	10.3199i	−0.632753	−	0.424505i
$592$	−3.34511	−	17.7844i	−0.137483	−	0.730934i
$593$	25.5322	−	25.5322i	1.04848	−	1.04848i	0.0497164	−	0.998763i	$-0.484168\pi$
$593$	25.5322	−	25.5322i	1.04848	−	1.04848i	0.998763	−	0.0497164i	$-0.0158318\pi$
$594$	−15.4350	+	36.4145i	−0.633305	+	1.49410i
$595$	5.78258	−	3.86380i	0.237063	−	0.158400i
$596$	18.7169	+	28.3306i	0.766675	+	1.16046i
$597$	−0.201383	+	0.0829749i	−0.00824205	+	0.00339594i
$598$	−11.8077	+	28.2975i	−0.482855	+	1.15717i
$599$	−2.81924	+	6.80624i	−0.115191	+	0.278095i	−0.970951	−	0.239277i	$-0.923090\pi$
$599$	−2.81924	+	6.80624i	−0.115191	+	0.278095i	0.855761	+	0.517372i	$0.173090\pi$
$600$	1.87950	+	9.95197i	0.0767303	+	0.406287i
$601$	−2.76305	−	6.67058i	−0.112707	−	0.272099i	0.857454	−	0.514561i	$-0.172045\pi$
$601$	−2.76305	−	6.67058i	−0.112707	−	0.272099i	−0.970161	+	0.242462i	$0.922045\pi$
$602$	0.00552391	−	2.11863i	0.000225138	−	0.0863489i
$603$	−41.5753	−	8.43152i	−1.69308	−	0.343358i
$604$	0.0672883	−	12.9037i	0.00273792	−	0.525046i
$605$	6.00284	−	30.1783i	0.244050	−	1.22692i
$606$	5.25361	−	2.14862i	0.213413	−	0.0872815i
$607$	−12.5060			−0.507603			−0.253802	−	0.967256i	$-0.581681\pi$
$607$	−12.5060			−0.507603			−0.253802	+	0.967256i	$0.581681\pi$
$608$	10.8757	−	10.5958i	0.441069	−	0.429716i
$609$	−1.10160	−	5.59272i	−0.0446391	−	0.226628i
$610$	0.505260	+	2.57519i	0.0204574	+	0.104266i
$611$	19.6217	+	3.90300i	0.793809	+	0.157898i
$612$	28.1636	+	11.9623i	1.13845	+	0.483546i
$613$	−21.1070	+	31.5888i	−0.852503	+	1.27586i	0.107027	+	0.994256i	$0.465867\pi$
$613$	−21.1070	+	31.5888i	−0.852503	+	1.27586i	−0.959530	+	0.281605i	$0.909133\pi$
$614$	0.0403398	−	15.4719i	0.00162798	−	0.624393i
$615$	1.93533	+	2.90817i	0.0780399	+	0.117269i
$616$	11.2357	−	4.55135i	0.452699	−	0.183379i
$617$	−1.55951	−	0.645969i	−0.0627834	−	0.0260057i	0.351071	−	0.936349i	$-0.385818\pi$
$617$	−1.55951	−	0.645969i	−0.0627834	−	0.0260057i	−0.413854	+	0.910343i	$0.635818\pi$
$618$	−8.81882	+	43.3209i	−0.354745	+	1.74262i
$619$	−12.4267	+	2.47182i	−0.499469	+	0.0993507i	−0.438395	−	0.898783i	$-0.644453\pi$
$619$	−12.4267	+	2.47182i	−0.499469	+	0.0993507i	−0.0610747	+	0.998133i	$0.519453\pi$
$620$	−23.3419	−	4.76966i	−0.937434	−	0.191554i
$621$	36.2024	+	15.2339i	1.45275	+	0.611315i
$622$	9.37808	+	14.1148i	0.376027	+	0.565952i
$623$	−8.93152	−	8.93152i	−0.357834	−	0.357834i
$624$	−19.4415	−	4.11633i	−0.778283	−	0.164785i
$625$	7.34638	−	7.34638i	0.293855	−	0.293855i
$626$	30.3056	+	6.11034i	1.21125	+	0.244218i
$627$	17.6603	+	17.7265i	0.705285	+	0.707926i
$628$	−5.08763	−	26.2930i	−0.203018	−	1.04921i
$629$	−4.50109	−	22.6285i	−0.179470	−	0.902258i
$630$	4.06509	+	4.11701i	0.161957	+	0.164026i
$631$	−0.496224	+	1.19799i	−0.0197544	+	0.0476912i	−0.933449	−	0.358710i	$-0.883217\pi$
$631$	−0.496224	+	1.19799i	−0.0197544	+	0.0476912i	0.913695	+	0.406402i	$0.133217\pi$
$632$	−8.76902	+	5.76057i	−0.348813	+	0.229143i
$633$	13.8395	+	20.7963i	0.550072	+	0.826580i
$634$	0.382765	+	0.384767i	0.0152016	+	0.0152810i
$635$	−28.8722	−	19.2918i	−1.14576	−	0.765570i
$636$	−18.4032	−	27.9692i	−0.729734	−	1.10905i
$637$	−3.56226	+	17.9087i	−0.141142	+	0.709567i
$638$	−17.5443	+	26.1093i	−0.694586	+	1.03368i
$639$	−13.7648	+	5.64140i	−0.544529	+	0.223170i
$640$	−19.3715	−	0.353590i	−0.765725	−	0.0139769i
$641$		−	36.7026i		−	1.44967i	−0.688925	−	0.724833i	$-0.741917\pi$
$641$		−	36.7026i		−	1.44967i	0.688925	−	0.724833i	$-0.258083\pi$
$642$	21.6185	+	9.06827i	0.853216	+	0.357896i
$643$	24.2814	+	4.82988i	0.957566	+	0.190472i	0.649049	−	0.760747i	$-0.275167\pi$
$643$	24.2814	+	4.82988i	0.957566	+	0.190472i	0.308518	+	0.951219i	$0.400167\pi$
$644$	−4.54894	−	11.1462i	−0.179253	−	0.439220i
$645$	−5.15132	−	2.14504i	−0.202833	−	0.0844607i
$646$	13.7244	−	13.6530i	0.539978	−	0.537169i
$647$	−30.2121	+	12.5143i	−1.18776	+	0.491987i	−0.887026	−	0.461720i	$-0.847232\pi$
$647$	−30.2121	+	12.5143i	−1.18776	+	0.491987i	−0.300736	+	0.953707i	$0.597232\pi$
$648$	−5.34752	+	24.8878i	−0.210070	+	0.977686i
$649$	12.4666	+	5.16383i	0.489357	+	0.202698i
$650$	−3.18901	−	7.75609i	−0.125083	−	0.304219i
$651$	8.87079	−	3.65499i	0.347674	−	0.143250i
$652$	40.8782	−	7.90981i	1.60091	−	0.309772i
$653$	−20.6065	−	30.8399i	−0.806396	−	1.20686i	−0.975226	−	0.221212i	$-0.928999\pi$
$653$	−20.6065	−	30.8399i	−0.806396	−	1.20686i	0.168830	−	0.985645i	$-0.446001\pi$
$654$	16.8859	+	0.0755849i	0.660291	+	0.00295560i
$655$	−1.54671	−	1.54671i	−0.0604349	−	0.0604349i
$656$	4.37084	−	1.75729i	0.170653	−	0.0686105i
$657$	−1.91295	−	0.800760i	−0.0746313	−	0.0312406i
$658$	−6.54242	+	4.34687i	−0.255050	+	0.169459i
$659$	9.69701	+	14.5126i	0.377742	+	0.565330i	0.970818	−	0.239815i	$-0.0770869\pi$
$659$	9.69701	+	14.5126i	0.377742	+	0.565330i	−0.593077	+	0.805146i	$0.702087\pi$
$660$	0.226162	−	31.9276i	0.00880336	−	1.24278i
$661$	−6.05894	−	30.4603i	−0.235665	−	1.18477i	−0.899510	−	0.436900i	$-0.856076\pi$
$661$	−6.05894	−	30.4603i	−0.235665	−	1.18477i	0.663845	−	0.747870i	$-0.268924\pi$
$662$	−3.82869	+	9.17554i	−0.148806	+	0.356617i
$663$	−24.8403	−	4.98933i	−0.964719	−	0.193769i
$664$	7.94947	−	3.22016i	0.308499	−	0.124967i
$665$	3.38179	−	1.40079i	0.131140	−	0.0543201i
$666$	17.7792	−	7.23256i	0.688929	−	0.280256i
$667$	25.9740	+	17.3553i	1.00572	+	0.671999i
$668$	16.6143	−	16.4419i	0.642826	−	0.636156i
$669$	0.0500421	−	26.7764i	0.00193474	−	1.03523i
$670$	33.6055	−	6.59350i	1.29829	−	0.254729i
$671$			5.83206i			0.225144i
$672$	6.55134	−	4.23760i	0.252723	−	0.163469i
$673$			1.42269i			0.0548405i	0.999624	+	0.0274203i	$0.00872923\pi$
$673$			1.42269i			0.0548405i	−0.999624	+	0.0274203i	$0.991271\pi$
$674$	6.67525	+	34.0221i	0.257121	+	1.31048i
$675$	−9.94744	+	4.05517i	−0.382877	+	0.156084i
$676$	−9.54501	−	0.0497738i	−0.367116	−	0.00191438i
$677$	30.5664	+	20.4238i	1.17476	+	0.784951i	0.980600	−	0.196019i	$-0.0628014\pi$
$677$	30.5664	+	20.4238i	1.17476	+	0.784951i	0.194161	+	0.980970i	$0.437801\pi$
$678$	−37.3441	+	7.25459i	−1.43419	+	0.278611i
$679$	0.109851	−	0.0455019i	0.00421570	−	0.00174620i
$680$	−24.7010	−	0.193213i	−0.947241	−	0.00740936i
$681$	2.91283	−	14.5021i	0.111620	−	0.555722i
$682$	−48.8624	−	20.3889i	−1.87104	−	0.780731i
$683$	0.0811176	+	0.407806i	0.00310388	+	0.0156043i	0.982306	−	0.187282i	$-0.0599678\pi$
$683$	0.0811176	+	0.407806i	0.00310388	+	0.0156043i	−0.979202	+	0.202886i	$0.934968\pi$
$684$	13.3102	+	9.06698i	0.508928	+	0.346685i
$685$	8.58843	+	12.8535i	0.328147	+	0.491106i
$686$	−8.32997	−	12.5373i	−0.318040	−	0.478677i
$687$	−3.01087	−	2.01995i	−0.114872	−	0.0770659i
$688$	−4.24572	+	6.21291i	−0.161867	+	0.236865i
$689$	19.6029	+	19.6029i	0.746811	+	0.746811i
$690$	−31.7072	−	0.141928i	−1.20707	−	0.00540312i
$691$	−6.46900	−	9.68155i	−0.246093	−	0.368303i	0.687774	−	0.725925i	$-0.258588\pi$
$691$	−6.46900	−	9.68155i	−0.246093	−	0.368303i	−0.933867	+	0.357621i	$0.883588\pi$
$692$	−20.3698	−	13.7649i	−0.774344	−	0.523262i
$693$	7.10345	+	10.7176i	0.269838	+	0.407127i
$694$	23.9371	−	9.84204i	0.908640	−	0.373599i
$695$	−8.25287	−	3.41845i	−0.313049	−	0.129669i
$696$	−7.92875	+	18.6290i	−0.300538	+	0.706131i
$697$	5.54894	−	2.29844i	0.210181	−	0.0870598i
$698$	13.5516	+	13.6224i	0.512934	+	0.515616i
$699$	6.73654	−	16.1779i	0.254799	−	0.611903i
$700$	3.03533	+	1.27586i	0.114725	+	0.0482229i
$701$	−37.1691	−	7.39339i	−1.40386	−	0.279244i	−0.565672	−	0.824631i	$-0.691383\pi$
$701$	−37.1691	−	7.39339i	−1.40386	−	0.279244i	−0.838185	+	0.545386i	$0.816383\pi$
$702$	0.173132	−	21.0773i	0.00653444	−	0.795510i
$703$		−	12.1434i		−	0.457995i
$704$	−42.0934	−	9.05964i	−1.58645	−	0.341448i
$705$	3.99813	+	20.2981i	0.150578	+	0.764472i
$706$	15.4984	+	10.4142i	0.583290	+	0.391945i
$707$	0.359993	−	1.80981i	0.0135389	−	0.0680648i
$708$	8.50584	+	1.75464i	0.319669	+	0.0659435i
$709$	38.1803	+	25.5113i	1.43389	+	0.958096i	0.998320	+	0.0579428i	$0.0184541\pi$
$709$	38.1803	+	25.5113i	1.43389	+	0.958096i	0.435573	+	0.900154i	$0.356546\pi$
$710$	8.51384	−	8.46956i	0.319519	−	0.317857i
$711$	−7.83946	−	7.89828i	−0.294003	−	0.296209i
$712$	8.40800	+	44.0686i	0.315103	+	1.65154i
$713$	−20.1213	+	48.5770i	−0.753547	+	1.81922i
$714$	8.29582	−	5.48954i	0.310463	−	0.205441i
$715$	5.15768	+	25.9294i	0.192886	+	0.969706i
$716$	−12.9547	−	8.75411i	−0.484140	−	0.327156i
$717$	−14.0901	+	14.0375i	−0.526205	+	0.524242i
$718$	6.95277	−	34.4838i	0.259475	−	1.28692i
$719$	15.3249	−	15.3249i	0.571523	−	0.571523i	−0.361031	−	0.932554i	$-0.617575\pi$
$719$	15.3249	−	15.3249i	0.571523	−	0.571523i	0.932554	+	0.361031i	$0.117575\pi$
$720$	−3.72317	−	20.2099i	−0.138755	−	0.753178i
$721$	10.1629	+	10.1629i	0.378484	+	0.378484i
$722$	−13.8939	+	9.23127i	−0.517076	+	0.343552i
$723$	35.7076	+	35.8414i	1.32798	+	1.33295i
$724$	14.3738	+	21.7567i	0.534198	+	0.808580i
$725$	−8.37960	+	1.66681i	−0.311210	+	0.0619036i
$726$	8.77935	−	43.1270i	0.325832	−	1.60059i
$727$	−5.58340	−	2.31272i	−0.207077	−	0.0857740i	0.276734	−	0.960946i	$-0.410748\pi$
$727$	−5.58340	−	2.31272i	−0.207077	−	0.0857740i	−0.483811	+	0.875172i	$0.660748\pi$
$728$	−4.60389	+	4.53242i	−0.170631	+	0.167983i
$729$	−26.9983	−	0.302754i	−0.999937	−	0.0112131i
$730$	1.67412	+	0.00436494i	0.0619620	+	0.000161554i
$731$	−5.33018	+	7.97717i	−0.197144	+	0.295046i
$732$	0.706208	+	3.68664i	0.0261022	+	0.136262i
$733$	−16.4103	−	3.26422i	−0.606130	−	0.120567i	−0.117522	−	0.993070i	$-0.537495\pi$
$733$	−16.4103	−	3.26422i	−0.606130	−	0.120567i	−0.488608	+	0.872504i	$0.662495\pi$
$734$	11.8683	−	2.32860i	0.438066	−	0.0859500i
$735$	−18.5260	+	3.64908i	−0.683344	+	0.134598i
$736$	−8.88794	+	41.8255i	−0.327614	+	1.54171i
$737$	76.1068			2.80343
$738$	2.74957	+	4.17208i	0.101213	+	0.153576i
$739$	4.06626	−	20.4425i	0.149580	−	0.751988i	−0.831062	−	0.556179i	$-0.812267\pi$
$739$	4.06626	−	20.4425i	0.149580	−	0.751988i	0.980642	−	0.195809i	$-0.0627332\pi$
$740$	−11.0135	+	10.8993i	−0.404866	+	0.400665i
$741$	−12.3106	−	5.12621i	−0.452243	−	0.188316i
$742$	−10.8845	−	0.0283792i	−0.399583	−	0.00104183i
$743$	11.3675	+	27.4437i	0.417035	+	1.00681i	0.983202	+	0.182521i	$0.0584257\pi$
$743$	11.3675	+	27.4437i	0.417035	+	1.00681i	−0.566167	+	0.824290i	$0.691574\pi$
$744$	−33.3565	−	6.97171i	−1.22291	−	0.255595i
$745$	11.1261	−	26.8608i	0.407630	−	0.984105i
$746$	35.6831	+	14.8895i	1.30645	+	0.545145i
$747$	5.02582	+	7.58288i	0.183885	+	0.277443i
$748$	−53.7845	−	10.9903i	−1.96655	−	0.401844i
$749$	6.33700	−	4.23425i	0.231549	−	0.154716i
$750$	21.0563	−	20.8687i	0.768868	−	0.762016i
$751$	9.88591	−	9.88591i	0.360742	−	0.360742i	−0.503344	−	0.864086i	$-0.667897\pi$
$751$	9.88591	−	9.88591i	0.360742	−	0.360742i	0.864086	+	0.503344i	$0.167897\pi$
$752$	27.8976	+	0.290960i	1.01732	+	0.0106102i
$753$	7.38262	−	11.0043i	0.269038	−	0.401019i
$754$	3.31339	−	16.4335i	0.120667	−	0.598473i
$755$	−9.18688	+	6.13848i	−0.334345	+	0.223402i
$756$	5.78813	+	5.91477i	0.210512	+	0.215118i
$757$	−2.43551	+	0.484453i	−0.0885202	+	0.0176078i	−0.239152	−	0.970982i	$-0.576869\pi$
$757$	−2.43551	+	0.484453i	−0.0885202	+	0.0176078i	0.150631	+	0.988590i	$0.451869\pi$
$758$	12.8664	−	5.29019i	0.467329	−	0.192148i
$759$	−69.0853	−	13.8762i	−2.50764	−	0.503674i
$760$	−12.7312	−	2.63608i	−0.461809	−	0.0956206i
$761$	−14.2896	−	34.4982i	−0.517999	−	1.25056i	−0.939131	−	0.343560i	$-0.888367\pi$
$761$	−14.2896	−	34.4982i	−0.517999	−	1.25056i	0.421132	−	0.906999i	$-0.361633\pi$
$762$	−41.1737	−	27.7787i	−1.49156	−	1.00632i
$763$	3.04989	−	4.56448i	0.110413	−	0.165245i
$764$	−8.77237	−	21.4947i	−0.317373	−	0.777652i
$765$	−5.01532	−	25.7157i	−0.181329	−	0.929753i
$766$	−10.7166	−	7.20108i	−0.387206	−	0.260186i
$767$	−7.19131			−0.259663
$768$	−27.7057	−	0.629782i	−0.999742	−	0.0227253i
$769$	8.19388			0.295479			0.147739	−	0.989026i	$-0.452800\pi$
$769$	8.19388			0.295479			0.147739	+	0.989026i	$0.452800\pi$
$770$	−8.61552	−	5.78925i	−0.310482	−	0.208630i
$771$	−4.17843	−	0.00780903i	−0.150482	−	0.000281235i
$772$	−17.8983	−	43.8558i	−0.644174	−	1.57840i
$773$	−11.9974	+	17.9553i	−0.431515	+	0.645808i	−0.981966	−	0.189060i	$-0.939456\pi$
$773$	−11.9974	+	17.9553i	−0.431515	+	0.645808i	0.550451	+	0.834868i	$0.314456\pi$
$774$	−7.35444	−	3.10112i	−0.264350	−	0.111468i
$775$	−5.50316	−	13.2858i	−0.197679	−	0.477240i
$776$	−0.413549	−	0.0856281i	−0.0148455	−	0.00307387i
$777$	1.22879	−	6.11777i	0.0440826	−	0.219474i
$778$	−1.05010	+	0.431763i	−0.0376481	+	0.0154795i
$779$	3.10045	−	0.616718i	0.111085	−	0.0220962i
$780$	6.40016	+	15.7663i	0.229162	+	0.564524i
$781$	22.1906	−	14.8273i	0.794042	−	0.530562i
$782$	−10.7749	+	53.4407i	−0.385311	+	1.91103i
$783$	−21.0378	−	4.30744i	−0.751830	−	0.153935i
$784$	−0.265558	+	25.4621i	−0.00948422	+	0.909359i
$785$	−16.2147	+	16.2147i	−0.578726	+	0.578726i
$786$	−2.20242	−	2.22223i	−0.0785579	−	0.0792643i
$787$	−35.1663	+	23.4974i	−1.25354	+	0.837591i	−0.991832	−	0.127555i	$-0.959287\pi$
$787$	−35.1663	+	23.4974i	−1.25354	+	0.837591i	−0.261712	+	0.965146i	$0.584287\pi$
$788$	20.9562	+	4.28216i	0.746533	+	0.152546i
$789$	11.2080	+	27.2022i	0.399016	+	0.968424i
$790$	8.29085	+	3.45953i	0.294975	+	0.123085i
$791$	−4.73285	+	11.4261i	−0.168281	+	0.406265i
$792$	0.527908	−	45.6661i	0.0187584	−	1.62267i
$793$	−1.18943	−	2.87153i	−0.0422377	−	0.101971i
$794$	−44.4848	−	0.115985i	−1.57871	−	0.00411617i
$795$	−11.0202	+	26.4650i	−0.390845	+	0.938618i
$796$	0.178764	−	0.176909i	0.00633611	−	0.00627037i
$797$	1.56119	−	7.84862i	0.0553001	−	0.278012i	−0.943235	−	0.332127i	$-0.892234\pi$
$797$	1.56119	−	7.84862i	0.0553001	−	0.278012i	0.998535	+	0.0541148i	$0.0172337\pi$
$798$	4.84610	−	1.98195i	0.171550	−	0.0701604i
$799$	35.5700			1.25838
$800$	−6.36990	−	9.80764i	−0.225210	−	0.346753i
$801$	−44.0305	+	18.0455i	−1.55574	+	0.637607i
$802$	−24.4355	+	4.79432i	−0.862846	+	0.169293i
$803$	3.64900	+	0.725831i	0.128770	+	0.0256140i
$804$	48.1096	−	9.21582i	1.69670	−	0.325017i
$805$	−5.72688	+	8.57088i	−0.201846	+	0.302084i
$806$	28.2166	+	0.0735692i	0.993887	+	0.00259136i
$807$	25.8111	−	17.1768i	0.908595	−	0.604651i
$808$	−4.67054	+	4.59804i	−0.164309	+	0.161759i
$809$	1.59008	+	0.658632i	0.0559042	+	0.0231563i	0.410460	−	0.911878i	$-0.365368\pi$
$809$	1.59008	+	0.658632i	0.0559042	+	0.0231563i	−0.354556	+	0.935035i	$0.615368\pi$
$810$	20.2205	−	8.13772i	0.710475	−	0.285930i
$811$	44.0264	−	8.75739i	1.54598	−	0.307514i	0.652908	−	0.757437i	$-0.273549\pi$
$811$	44.0264	−	8.75739i	1.54598	−	0.307514i	0.893067	+	0.449923i	$0.148549\pi$
$812$	3.62818	+	5.49173i	0.127324	+	0.192722i
$813$	35.9448	−	35.8107i	1.26064	−	1.25594i
$814$	−28.6815	+	19.0564i	−1.00528	+	0.667925i
$815$	−25.2092	−	25.2092i	−0.883039	−	0.883039i
$816$	−35.3298	−	0.434510i	−1.23679	−	0.0152109i
$817$	−3.57062	+	3.57062i	−0.124920	+	0.124920i
$818$	4.40159	−	21.8307i	0.153898	−	0.763292i
$819$	−5.68333	−	3.82828i	−0.198592	−	0.133771i
$820$	−3.34215	−	2.25845i	−0.116713	−	0.0788686i
$821$	5.35307	+	26.9117i	0.186824	+	0.939225i	0.954460	+	0.298340i	$0.0964328\pi$
$821$	5.35307	+	26.9117i	0.186824	+	0.939225i	−0.767636	+	0.640886i	$0.778567\pi$
$822$	12.2021	+	18.4399i	0.425598	+	0.643166i
$823$	−0.538169	+	1.29925i	−0.0187594	+	0.0452891i	−0.932982	−	0.359924i	$-0.882803\pi$
$823$	−0.538169	+	1.29925i	−0.0187594	+	0.0452891i	0.914222	+	0.405213i	$0.132803\pi$
$824$	−9.56716	−	50.1441i	−0.333288	−	1.74685i
$825$	16.0442	−	10.6771i	0.558587	−	0.371728i
$826$	2.00169	−	1.99128i	0.0696478	−	0.0692855i
$827$	−42.6108	−	28.4716i	−1.48172	−	0.990056i	−0.993063	−	0.117582i	$-0.962486\pi$
$827$	−42.6108	−	28.4716i	−1.48172	−	0.990056i	−0.488660	−	0.872474i	$-0.662514\pi$
$828$	−45.3514	−	0.406013i	−1.57607	−	0.0141099i
$829$	−10.7528	+	54.0581i	−0.373461	+	1.87752i	0.0972982	+	0.995255i	$0.468980\pi$
$829$	−10.7528	+	54.0581i	−0.373461	+	1.87752i	−0.470760	+	0.882262i	$0.656020\pi$
$830$	−6.09564	−	4.09601i	−0.211583	−	0.142174i
$831$	43.4044	−	8.54938i	1.50568	−	0.296575i
$832$	22.5732	−	4.12409i	0.782583	−	0.142977i
$833$			32.4646i			1.12483i
$834$	−11.7826	−	4.94241i	−0.407997	−	0.171141i
$835$	−19.6299	−	3.90463i	−0.679320	−	0.135125i
$836$	−26.6358	−	11.1960i	−0.921220	−	0.387222i
$837$	0.202649	−	36.1438i	0.00700456	−	1.24931i
$838$	20.8227	+	20.9316i	0.719309	+	0.723070i
$839$	−11.4210	+	4.73072i	−0.394296	+	0.163323i	−0.571017	−	0.820938i	$-0.693451\pi$
$839$	−11.4210	+	4.73072i	−0.394296	+	0.163323i	0.176721	+	0.984261i	$0.443451\pi$
$840$	−6.14718	−	2.61632i	−0.212098	−	0.0902717i
$841$	11.0132	+	4.56183i	0.379766	+	0.157304i
$842$	10.7497	−	4.41989i	0.370460	−	0.152319i
$843$	20.0863	+	48.7502i	0.691810	+	1.67905i
$844$	−23.8997	−	16.1502i	−0.822663	−	0.555913i
$845$	4.54069	+	6.79562i	0.156204	+	0.233776i
$846$	5.58875	+	29.0589i	0.192145	+	0.999067i
$847$	−10.1174	−	10.1174i	−0.347637	−	0.347637i
$848$	31.9190	+	21.8125i	1.09610	+	0.749044i
$849$	11.5332	−	17.1910i	0.395818	−	0.589994i
$850$	−8.25127	−	12.4189i	−0.283016	−	0.425964i
$851$	18.9987	+	28.4336i	0.651268	+	0.974692i
$852$	12.2320	−	12.0599i	0.419060	−	0.413165i
$853$	8.07843	+	40.6130i	0.276600	+	1.39056i	0.830054	+	0.557683i	$0.188309\pi$
$853$	8.07843	+	40.6130i	0.276600	+	1.39056i	−0.553454	+	0.832880i	$0.686691\pi$
$854$	1.12620	+	0.469933i	0.0385379	+	0.0160808i
$855$	0.0515435	−	13.7898i	0.00176275	−	0.471601i
$856$	−27.0693	−	0.211737i	−0.925210	−	0.00723704i
$857$	11.4578	−	4.74597i	0.391390	−	0.162119i	−0.178305	−	0.983975i	$-0.557061\pi$
$857$	11.4578	−	4.74597i	0.391390	−	0.162119i	0.569695	+	0.821856i	$0.307061\pi$
$858$	7.21125	+	37.1211i	0.246188	+	1.26729i
$859$	13.4982	+	9.01922i	0.460553	+	0.307732i	0.764115	−	0.645080i	$-0.223176\pi$
$859$	13.4982	+	9.01922i	0.460553	+	0.307732i	−0.303562	+	0.952812i	$0.598176\pi$
$860$	6.44324	+	0.0335991i	0.219713	+	0.00114572i
$861$	1.62440	+	0.00303583i	0.0553594	+	0.000103461i
$862$	8.52762	+	43.4632i	0.290452	+	1.48036i
$863$			25.3881i			0.864222i	0.901820	+	0.432111i	$0.142231\pi$
$863$			25.3881i			0.864222i	−0.901820	+	0.432111i	$0.857769\pi$
$864$	−5.19603	−	28.9310i	−0.176773	−	0.984252i
$865$			21.0505i			0.715739i
$866$	−15.2100	+	2.98426i	−0.516858	+	0.101409i
$867$	−15.6022	−	0.0291588i	−0.529878	−	0.000990284i
$868$	−7.87442	+	7.79273i	−0.267275	+	0.264502i
$869$	16.6001	+	11.0919i	0.563121	+	0.376266i
$870$	17.0176	−	3.30589i	0.576950	−	0.112080i
$871$	−37.4726	+	15.5217i	−1.26971	+	0.525932i
$872$	−18.0719	+	7.32056i	−0.611993	+	0.247906i
$873$	0.00167429	−	0.447936i	5.66663e−5	−	0.0151603i
$874$	−11.0496	+	26.4805i	−0.373757	+	0.895716i
$875$	−1.88024	−	9.45263i	−0.0635639	−	0.319557i
$876$	2.39454	+	0.0169620i	0.0809041	+	0.000573092i
$877$	−14.4959	−	21.6947i	−0.489492	−	0.732577i	0.501695	−	0.865044i	$-0.332710\pi$
$877$	−14.4959	−	21.6947i	−0.489492	−	0.732577i	−0.991187	+	0.132468i	$0.957710\pi$
$878$	−4.93922	+	3.28168i	−0.166691	+	0.110751i
$879$	8.20856	−	12.2354i	0.276868	−	0.412690i
$880$	13.7527	+	34.2067i	0.463603	+	1.15311i
$881$	−20.3613	−	20.3613i	−0.685990	−	0.685990i	0.275353	−	0.961343i	$-0.411205\pi$
$881$	−20.3613	−	20.3613i	−0.685990	−	0.685990i	−0.961343	+	0.275353i	$0.911205\pi$
$882$	−26.5220	+	5.10083i	−0.893043	+	0.171754i
$883$	16.0071	+	23.9562i	0.538680	+	0.806192i	0.996565	−	0.0828199i	$-0.0263926\pi$
$883$	16.0071	+	23.9562i	0.538680	+	0.806192i	−0.457884	+	0.889012i	$0.651393\pi$
$884$	28.7232	−	5.55786i	0.966067	−	0.186931i
$885$	−2.83297	−	6.87571i	−0.0952292	−	0.231124i
$886$	−8.73940	−	21.2554i	−0.293606	−	0.714088i
$887$	39.4628	+	16.3460i	1.32503	+	0.548845i	0.929234	−	0.369493i	$-0.120469\pi$
$887$	39.4628	+	16.3460i	1.32503	+	0.548845i	0.395796	+	0.918338i	$0.370469\pi$
$888$	−15.8230	+	15.5192i	−0.530984	+	0.520791i
$889$	−14.9180	+	6.17923i	−0.500333	+	0.207245i
$890$	27.2338	−	27.0922i	0.912879	−	0.908131i
$891$	47.5780	−	9.09465i	1.59392	−	0.304682i
$892$	11.6830	+	28.6265i	0.391175	+	0.958486i
$893$	18.3618	+	3.65238i	0.614453	+	0.122222i
$894$	16.0862	−	38.3491i	0.538002	−	1.28258i
$895$			13.3876i			0.447499i
$896$	−5.14125	+	7.39846i	−0.171757	+	0.247165i
$897$	36.8455	−	7.25746i	1.23023	−	0.242320i
$898$	−3.50479	+	5.21579i	−0.116956	+	0.174053i
$899$	5.60829	−	28.1948i	0.187047	−	0.940349i
$900$	8.84918	−	8.69214i	0.294973	−	0.289738i
$901$	40.9829	+	27.3839i	1.36534	+	0.912290i
$902$	−6.32212	−	6.35517i	−0.210504	−	0.211604i
$903$	−2.16018	+	1.43755i	−0.0718863	+	0.0478388i
$904$	36.7141	−	24.1183i	1.22109	−	0.802164i
$905$	8.54440	−	20.6280i	0.284025	−	0.685698i
$906$	−13.1797	+	8.72133i	−0.437867	+	0.289747i
$907$	3.37324	+	16.9584i	0.112007	+	0.563096i	0.995509	+	0.0946685i	$0.0301791\pi$
$907$	3.37324	+	16.9584i	0.112007	+	0.563096i	−0.883502	+	0.468427i	$0.844821\pi$
$908$	3.24475	+	16.7690i	0.107681	+	0.556498i
$909$	−5.76561	−	3.88371i	−0.191233	−	0.128814i
$910$	5.42271	+	1.09335i	0.179761	+	0.0362442i
$911$	2.54657	−	2.54657i	0.0843717	−	0.0843717i	−0.663661	−	0.748033i	$-0.730998\pi$
$911$	2.54657	−	2.54657i	0.0843717	−	0.0843717i	0.748033	+	0.663661i	$0.230998\pi$
$912$	−18.1931	−	3.85201i	−0.602435	−	0.127553i
$913$	−11.5406	−	11.5406i	−0.381938	−	0.381938i
$914$	2.76823	+	4.16642i	0.0915648	+	0.137813i
$915$	2.27694	−	2.26845i	0.0752733	−	0.0749925i
$916$	4.10181	+	0.838160i	0.135528	+	0.0276936i
$917$	−0.997605	+	0.198436i	−0.0329438	+	0.00655294i
$918$	−7.00900	−	36.8144i	−0.231331	−	1.21506i
$919$	−30.5861	−	12.6692i	−1.00894	−	0.417918i	−0.183874	−	0.982950i	$-0.558864\pi$
$919$	−30.5861	−	12.6692i	−1.00894	−	0.417918i	−0.825069	+	0.565032i	$0.808864\pi$
$920$	33.9343	−	13.7461i	1.11878	−	0.453195i
$921$	−15.7753	+	10.4981i	−0.519813	+	0.345925i
$922$	0.00295500	−	1.13336i	9.73178e−5	−	0.0373251i
$923$	−7.90200	+	11.8262i	−0.260097	+	0.389263i
$924$	−12.2861	−	8.33579i	−0.404183	−	0.274228i
$925$	−9.17310	−	1.82464i	−0.301610	−	0.0599939i
$926$	5.22727	+	26.6421i	0.171779	+	0.875513i
$927$	50.1007	−	20.5333i	1.64552	−	0.674404i
$928$	0.304761	−	23.3762i	0.0100043	−	0.767362i
$929$	−15.5822			−0.511236			−0.255618	−	0.966778i	$-0.582279\pi$
$929$	−15.5822			−0.511236			−0.255618	+	0.966778i	$0.582279\pi$
$930$	11.0454	+	27.0073i	0.362193	+	0.885603i
$931$	−3.33352	+	16.7587i	−0.109252	+	0.549245i
$932$	−0.105519	+	20.2351i	−0.00345639	+	0.662824i
$933$	7.97837	−	19.1601i	0.261200	−	0.627274i
$934$	0.149490	−	57.3351i	0.00489146	−	1.87606i
$935$	17.9879	+	43.4265i	0.588266	+	1.42020i
$936$	9.05349	+	22.5922i	0.295923	+	0.738450i
$937$	13.5497	−	32.7119i	0.442650	−	1.06865i	−0.532366	−	0.846514i	$-0.678697\pi$
$937$	13.5497	−	32.7119i	0.442650	−	1.06865i	0.975016	−	0.222136i	$-0.0713030\pi$
$938$	6.13249	−	14.6966i	0.200233	−	0.479863i
$939$	−14.4243	−	35.0083i	−0.470720	−	1.14245i
$940$	−13.1680	−	19.9316i	−0.429494	−	0.650097i
$941$	−15.8636	+	10.5997i	−0.517139	+	0.345541i	−0.786593	−	0.617472i	$-0.788157\pi$
$941$	−15.8636	+	10.5997i	−0.517139	+	0.345541i	0.269454	+	0.963013i	$0.413157\pi$
$942$	−23.2964	+	23.0888i	−0.759037	+	0.752272i
$943$	−6.29482	+	6.29482i	−0.204987	+	0.204987i
$944$	−9.85567	+	1.85378i	−0.320775	+	0.0603354i
$945$	1.42136	−	6.94203i	0.0462370	−	0.225824i
$946$	14.0368	+	2.83016i	0.456376	+	0.0920164i
$947$	−3.79100	+	2.53307i	−0.123191	+	0.0823136i	−0.615639	−	0.788028i	$-0.711102\pi$
$947$	−3.79100	+	2.53307i	−0.123191	+	0.0823136i	0.492448	+	0.870342i	$0.336102\pi$
$948$	11.8366	+	5.00141i	0.384436	+	0.162438i
$949$	−1.94468	+	0.386822i	−0.0631271	+	0.0125568i
$950$	−2.98424	−	7.25806i	−0.0968215	−	0.235483i
$951$	0.130896	−	0.651689i	0.00424458	−	0.0211325i
$952$	−6.45610	+	9.50052i	−0.209243	+	0.307913i
$953$	2.16803	+	5.23408i	0.0702292	+	0.169548i	0.955097	−	0.296295i	$-0.0957511\pi$
$953$	2.16803	+	5.23408i	0.0702292	+	0.169548i	−0.884867	+	0.465843i	$0.845751\pi$
$954$	−15.9321	+	37.7836i	−0.515821	+	1.22329i
$955$	−11.0440	+	16.5285i	−0.357374	+	0.534848i
$956$	8.89930	−	21.1719i	0.287824	−	0.684747i
$957$	38.5259	+	0.0720007i	1.24536	+	0.00232745i
$958$	0.470337	−	0.699952i	0.0151959	−	0.0226144i
$959$	7.18846			0.232128
$960$	12.8356	+	19.9578i	0.414269	+	0.644137i
$961$	17.3858			0.560832
$962$	10.2354	−	15.2322i	0.330003	−	0.491107i
$963$	−5.49618	−	28.1813i	−0.177112	−	0.908129i
$964$	−53.8554	−	22.6374i	−1.73457	−	0.729100i
$965$	−22.5330	+	33.7231i	−0.725364	+	1.08558i
$966$	−8.24629	+	12.2227i	−0.265320	+	0.393257i
$967$	−4.84384	−	11.6941i	−0.155767	−	0.376056i	0.826660	−	0.562702i	$-0.190238\pi$
$967$	−4.84384	−	11.6941i	−0.155767	−	0.376056i	−0.982427	+	0.186646i	$0.940238\pi$
$968$	9.52435	+	49.9197i	0.306124	+	1.60448i
$969$	−23.2453	−	4.66895i	−0.746746	−	0.149988i
$970$	0.137511	+	0.334446i	0.00441523	+	0.0107384i
$971$	−14.2757	+	2.83961i	−0.458129	+	0.0911275i	−0.418760	−	0.908097i	$-0.637535\pi$
$971$	−14.2757	+	2.83961i	−0.458129	+	0.0911275i	−0.0393696	+	0.999225i	$0.512535\pi$
$972$	28.9744	−	11.5103i	0.929353	−	0.369193i
$973$	−3.45380	+	2.30776i	−0.110724	+	0.0739833i
$974$	−21.2805	−	4.29066i	−0.681871	−	0.137482i
$975$	−5.72212	+	8.52921i	−0.183255	+	0.273153i
$976$	−2.37033	−	3.62881i	−0.0758724	−	0.116155i
$977$	16.4215	−	16.4215i	0.525370	−	0.525370i	−0.393818	−	0.919188i	$-0.628846\pi$
$977$	16.4215	−	16.4215i	0.525370	−	0.525370i	0.919188	+	0.393818i	$0.128846\pi$
$978$	−35.8964	−	36.2192i	−1.14784	−	1.15816i
$979$	70.9825	−	47.4290i	2.26861	−	1.51584i
$980$	18.1915	−	12.0184i	0.581106	−	0.383915i
$981$	−11.4255	−	17.2386i	−0.364787	−	0.550385i
$982$	−0.0178914	+	0.0428772i	−0.000570939	+	0.00136827i
$983$	16.4499	−	39.7135i	0.524669	−	1.26666i	−0.410306	−	0.911948i	$-0.634578\pi$
$983$	16.4499	−	39.7135i	0.524669	−	1.26666i	0.934975	−	0.354715i	$-0.115422\pi$
$984$	−4.76597	−	3.25177i	−0.151934	−	0.103663i
$985$	−7.00865	−	16.9204i	−0.223314	−	0.539128i
$986$	0.0777130	−	29.8059i	0.00247489	−	0.949214i
$987$	8.88099	+	3.69809i	0.282685	+	0.117711i
$988$	15.3981	+	0.0802953i	0.489877	+	0.00255453i
$989$	2.77423	−	13.9470i	0.0882153	−	0.443488i
$990$	−32.6511	+	21.5184i	−1.03772	+	0.683899i
$991$	−24.5959			−0.781314			−0.390657	−	0.920536i	$-0.627752\pi$
$991$	−24.5959			−0.781314			−0.390657	+	0.920536i	$0.627752\pi$
$992$	38.6897	−	7.17286i	1.22840	−	0.227739i
$993$	11.9472	−	2.35325i	0.379134	−	0.0746781i
$994$	−1.07517	−	5.47987i	−0.0341023	−	0.173811i
$995$	−0.211211	−	0.0420124i	−0.00669583	−	0.00133188i
$996$	−8.69265	−	5.89773i	−0.275437	−	0.186877i
$997$	10.5381	−	15.7713i	0.333744	−	0.499483i	−0.626205	−	0.779658i	$-0.715393\pi$
$997$	10.5381	−	15.7713i	0.333744	−	0.499483i	0.959949	+	0.280176i	$0.0903927\pi$
$998$	−0.0358457	+	13.7482i	−0.00113468	+	0.435192i
$999$	−19.4724	−	13.1696i	−0.616081	−	0.416667i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.131.26	yes	240
3.2	odd	2	inner	192.2.s.a.131.5	yes	240
4.3	odd	2		768.2.s.a.431.14		240
12.11	even	2		768.2.s.a.431.18		240
64.21	even	16		768.2.s.a.335.18		240
64.43	odd	16	inner	192.2.s.a.107.5	✓	240
192.107	even	16	inner	192.2.s.a.107.26	yes	240
192.149	odd	16		768.2.s.a.335.14		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.5	✓	240	64.43	odd	16	inner
192.2.s.a.107.26	yes	240	192.107	even	16	inner
192.2.s.a.131.5	yes	240	3.2	odd	2	inner
192.2.s.a.131.26	yes	240	1.1	even	1	trivial
768.2.s.a.335.14		240	192.149	odd	16
768.2.s.a.335.18		240	64.21	even	16
768.2.s.a.431.14		240	4.3	odd	2
768.2.s.a.431.18		240	12.11	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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.17382 + 0.788758i) q^{2} +(0.00323701 - 1.73205i) q^{3} +(0.755721 + 1.85172i) q^{4} +(0.951414 - 1.42389i) q^{5} +(1.36997 - 2.03056i) q^{6} +(-0.304742 - 0.735711i) q^{7} +(-0.573480 + 2.76968i) q^{8} +(-2.99998 - 0.0112133i) q^{9} +O(q^{10})\)	\(q+(1.17382 + 0.788758i) q^{2} +(0.00323701 - 1.73205i) q^{3} +(0.755721 + 1.85172i) q^{4} +(0.951414 - 1.42389i) q^{5} +(1.36997 - 2.03056i) q^{6} +(-0.304742 - 0.735711i) q^{7} +(-0.573480 + 2.76968i) q^{8} +(-2.99998 - 0.0112133i) q^{9} +(2.23990 - 0.920961i) q^{10} +(5.27874 - 1.05001i) q^{11} +(3.20972 - 1.30295i) q^{12} +(-2.38495 + 1.59357i) q^{13} +(0.222585 - 1.10396i) q^{14} +(-2.46317 - 1.65250i) q^{15} +(-2.85777 + 2.79878i) q^{16} +(-3.60610 + 3.60610i) q^{17} +(-3.51260 - 2.37942i) q^{18} +(-2.23180 + 1.49124i) q^{19} +(3.35566 + 0.685692i) q^{20} +(-1.27527 + 0.525445i) q^{21} +(7.02451 + 2.93113i) q^{22} +(2.89265 - 6.98348i) q^{23} +(4.79536 + 1.00226i) q^{24} +(0.791139 + 1.90998i) q^{25} +(-4.05645 - 0.0105764i) q^{26} +(-0.0291330 + 5.19607i) q^{27} +(1.13203 - 1.12029i) q^{28} +(-0.806254 + 4.05331i) q^{29} +(-1.58790 - 3.88259i) q^{30} -6.95599 q^{31} +(-5.56207 + 1.03118i) q^{32} +(-1.80158 - 9.14643i) q^{33} +(-7.07727 + 1.38858i) q^{34} +(-1.33751 - 0.266047i) q^{35} +(-2.24638 - 5.56361i) q^{36} +(-2.51344 + 3.76162i) q^{37} +(-3.79597 - 0.00989724i) q^{38} +(2.75242 + 4.13600i) q^{39} +(3.39810 + 3.45168i) q^{40} +(-1.08807 - 0.450693i) q^{41} +(-1.91139 - 0.389102i) q^{42} +(1.84512 - 0.367016i) q^{43} +(5.93358 + 8.98127i) q^{44} +(-2.87019 + 4.26097i) q^{45} +(8.90374 - 5.91577i) q^{46} +(-4.93192 - 4.93192i) q^{47} +(4.83836 + 4.95886i) q^{48} +(4.50134 - 4.50134i) q^{49} +(-0.577854 + 2.86600i) q^{50} +(6.23427 + 6.25761i) q^{51} +(-4.75321 - 3.21197i) q^{52} +(-1.88555 - 9.47932i) q^{53} +(-4.13264 + 6.07629i) q^{54} +(3.52717 - 8.51534i) q^{55} +(2.21245 - 0.422120i) q^{56} +(2.57568 + 3.87042i) q^{57} +(-4.14348 + 4.12193i) q^{58} +(2.08460 + 1.39288i) q^{59} +(1.19851 - 5.80994i) q^{60} +(-0.211398 + 1.06277i) q^{61} +(-8.16510 - 5.48659i) q^{62} +(0.905968 + 2.21053i) q^{63} +(-7.34224 - 3.17671i) q^{64} +4.91205i q^{65} +(5.09959 - 12.1573i) q^{66} +(13.8689 + 2.75869i) q^{67} +(-9.40272 - 3.95230i) q^{68} +(-12.0864 - 5.03282i) q^{69} +(-1.36015 - 1.36726i) q^{70} +(4.58122 - 1.89760i) q^{71} +(1.75149 - 8.30255i) q^{72} +(0.638643 + 0.264535i) q^{73} +(-5.91734 + 2.43299i) q^{74} +(3.31074 - 1.36411i) q^{75} +(-4.44799 - 3.00572i) q^{76} +(-2.38115 - 3.56365i) q^{77} +(-0.0314495 + 7.02592i) q^{78} +(2.62297 + 2.62297i) q^{79} +(1.26623 + 6.73195i) q^{80} +(8.99975 + 0.0672794i) q^{81} +(-0.921714 - 1.38726i) q^{82} +(-1.68471 - 2.52135i) q^{83} +(-1.93673 - 1.96437i) q^{84} +(1.70380 + 8.56559i) q^{85} +(2.45533 + 1.02454i) q^{86} +(7.01792 + 1.40959i) q^{87} +(-0.119072 + 15.2226i) q^{88} +(14.6543 - 6.06999i) q^{89} +(-6.72997 + 2.73775i) q^{90} +(1.89920 + 1.26900i) q^{91} +(15.1175 + 0.0788324i) q^{92} +(-0.0225166 + 12.0481i) q^{93} +(-1.89911 - 9.67928i) q^{94} +4.59663i q^{95} +(1.76804 + 9.63712i) q^{96} +0.149313i q^{97} +(8.83425 - 1.73331i) q^{98} +(-15.8479 + 3.09081i) 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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