LMFDB - Embedded newform 192.2.s.a.59.17

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			59.17
Character	$\chi$	$=$	192.59
Dual form			192.2.s.a.179.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.247147 + 1.39245i) q^{2} +(1.67694 - 0.433445i) q^{3} +(-1.87784 + 0.688279i) q^{4} +(-0.734509 + 3.69263i) q^{5} +(1.01800 + 2.22793i) q^{6} +(0.591839 + 0.245148i) q^{7} +(-1.42250 - 2.44469i) q^{8} +(2.62425 - 1.45372i) q^{9} +O(q^{10})$	\(q+(0.247147 + 1.39245i) q^{2} +(1.67694 - 0.433445i) q^{3} +(-1.87784 + 0.688279i) q^{4} +(-0.734509 + 3.69263i) q^{5} +(1.01800 + 2.22793i) q^{6} +(0.591839 + 0.245148i) q^{7} +(-1.42250 - 2.44469i) q^{8} +(2.62425 - 1.45372i) q^{9} +(-5.32333 - 0.110147i) q^{10} +(-2.27836 - 3.40980i) q^{11} +(-2.85069 + 1.96814i) q^{12} +(-0.600670 + 0.119481i) q^{13} +(-0.195085 + 0.884693i) q^{14} +(0.368824 + 6.51068i) q^{15} +(3.05254 - 2.58495i) q^{16} +(4.28696 + 4.28696i) q^{17} +(2.67281 + 3.29486i) q^{18} +(2.76310 - 0.549615i) q^{19} +(-1.16227 - 7.43970i) q^{20} +(1.09874 + 0.154568i) q^{21} +(4.18489 - 4.01522i) q^{22} +(0.657479 - 0.272337i) q^{23} +(-3.44508 - 3.48302i) q^{24} +(-8.47658 - 3.51111i) q^{25} +(-0.314825 - 0.806874i) q^{26} +(3.77060 - 3.57527i) q^{27} +(-1.28011 - 0.0529968i) q^{28} +(-4.29221 - 2.86796i) q^{29} +(-8.97464 + 2.12266i) q^{30} +7.59147 q^{31} +(4.35385 + 3.61165i) q^{32} +(-5.29862 - 4.73048i) q^{33} +(-4.90987 + 7.02888i) q^{34} +(-1.33995 + 2.00538i) q^{35} +(-3.92735 + 4.53607i) q^{36} +(1.09733 - 5.51665i) q^{37} +(1.44820 + 3.71165i) q^{38} +(-0.955499 + 0.460720i) q^{39} +(10.0722 - 3.45710i) q^{40} +(-1.91164 - 4.61510i) q^{41} +(0.0563207 + 1.56814i) q^{42} +(-4.03941 - 6.04541i) q^{43} +(6.62527 + 4.83490i) q^{44} +(3.44052 + 10.7581i) q^{45} +(0.541709 + 0.848200i) q^{46} +(-1.35230 + 1.35230i) q^{47} +(3.99849 - 5.65792i) q^{48} +(-4.65957 - 4.65957i) q^{49} +(2.79409 - 12.6710i) q^{50} +(9.04713 + 5.33080i) q^{51} +(1.04572 - 0.637794i) q^{52} +(-10.2062 + 6.81957i) q^{53} +(5.91028 + 4.36676i) q^{54} +(14.2646 - 5.90858i) q^{55} +(-0.242579 - 1.79558i) q^{56} +(4.39532 - 2.11932i) q^{57} +(2.93269 - 6.68550i) q^{58} +(2.71635 + 0.540317i) q^{59} +(-5.17376 - 11.9721i) q^{60} +(3.88650 + 2.59688i) q^{61} +(1.87621 + 10.5708i) q^{62} +(1.90951 - 0.217040i) q^{63} +(-3.95301 + 6.95512i) q^{64} -2.30581i q^{65} +(5.27743 - 8.54720i) q^{66} +(-7.28030 + 10.8957i) q^{67} +(-11.0008 - 5.09958i) q^{68} +(0.984509 - 0.741673i) q^{69} +(-3.12355 - 1.37019i) q^{70} +(4.11601 - 9.93692i) q^{71} +(-7.28689 - 4.34756i) q^{72} +(2.71081 + 6.54447i) q^{73} +(7.95286 + 0.164555i) q^{74} +(-15.7366 - 2.21379i) q^{75} +(-4.81036 + 2.93387i) q^{76} +(-0.512515 - 2.57658i) q^{77} +(-0.877678 - 1.21662i) q^{78} +(-4.65680 + 4.65680i) q^{79} +(7.30314 + 13.1706i) q^{80} +(4.77338 - 7.62986i) q^{81} +(5.95384 - 3.80246i) q^{82} +(-0.905573 - 4.55262i) q^{83} +(-2.16963 + 0.465984i) q^{84} +(-18.9789 + 12.6813i) q^{85} +(7.41961 - 7.11879i) q^{86} +(-8.44088 - 2.94896i) q^{87} +(-5.09495 + 10.4203i) q^{88} +(-3.99406 + 9.64250i) q^{89} +(-14.1299 + 7.44959i) q^{90} +(-0.384790 - 0.0765396i) q^{91} +(-1.04719 + 0.963933i) q^{92} +(12.7304 - 3.29049i) q^{93} +(-2.21722 - 1.54879i) q^{94} +10.6068i q^{95} +(8.86659 + 4.16937i) q^{96} +9.22995i q^{97} +(5.33662 - 7.63982i) q^{98} +(-10.9359 - 5.63607i) 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 $

$2$	0.247147	+	1.39245i	0.174759	+	0.984611i
$2$	0.247147	+	1.39245i	0.174759	+	0.984611i
$3$	1.67694	−	0.433445i	0.968181	−	0.250250i
$3$	1.67694	−	0.433445i	0.968181	−	0.250250i
$4$	−1.87784	+	0.688279i	−0.938918	+	0.344140i
$5$	−0.734509	+	3.69263i	−0.328482	+	1.65139i	0.365066	+	0.930982i	$0.381047\pi$
$5$	−0.734509	+	3.69263i	−0.328482	+	1.65139i	−0.693548	+	0.720410i	$0.743953\pi$
$6$	1.01800	+	2.22793i	0.415597	+	0.909549i
$7$	0.591839	+	0.245148i	0.223694	+	0.0926571i	0.491716	−	0.870756i	$-0.336370\pi$
$7$	0.591839	+	0.245148i	0.223694	+	0.0926571i	−0.268022	+	0.963413i	$0.586370\pi$
$8$	−1.42250	−	2.44469i	−0.502928	−	0.864328i
$9$	2.62425	−	1.45372i	0.874750	−	0.484574i
$10$	−5.32333	−	0.110147i	−1.68338	−	0.0348314i
$11$	−2.27836	−	3.40980i	−0.686950	−	1.02809i	−0.997002	−	0.0773737i	$-0.975347\pi$
$11$	−2.27836	−	3.40980i	−0.686950	−	1.02809i	0.310052	−	0.950720i	$-0.399653\pi$
$12$	−2.85069	+	1.96814i	−0.822922	+	0.568154i
$13$	−0.600670	+	0.119481i	−0.166596	+	0.0331380i	−0.277683	−	0.960673i	$-0.589567\pi$
$13$	−0.600670	+	0.119481i	−0.166596	+	0.0331380i	0.111087	+	0.993811i	$0.464567\pi$
$14$	−0.195085	+	0.884693i	−0.0521386	+	0.236444i
$15$	0.368824	+	6.51068i	0.0952299	+	1.68105i
$16$	3.05254	−	2.58495i	0.763136	−	0.646238i
$17$	4.28696	+	4.28696i	1.03974	+	1.03974i	0.999177	+	0.0405626i	$0.0129150\pi$
$17$	4.28696	+	4.28696i	1.03974	+	1.03974i	0.0405626	+	0.999177i	$0.487085\pi$
$18$	2.67281	+	3.29486i	0.629988	+	0.776605i
$19$	2.76310	−	0.549615i	0.633899	−	0.126090i	0.132327	−	0.991206i	$-0.457755\pi$
$19$	2.76310	−	0.549615i	0.633899	−	0.126090i	0.501572	+	0.865116i	$0.332755\pi$
$20$	−1.16227	−	7.43970i	−0.259892	−	1.66357i
$21$	1.09874	+	0.154568i	0.239764	+	0.0337295i
$22$	4.18489	−	4.01522i	0.892221	−	0.856047i
$23$	0.657479	−	0.272337i	0.137094	−	0.0567861i	−0.313082	−	0.949726i	$-0.601361\pi$
$23$	0.657479	−	0.272337i	0.137094	−	0.0567861i	0.450176	+	0.892940i	$0.351361\pi$
$24$	−3.44508	−	3.48302i	−0.703224	−	0.710969i
$25$	−8.47658	−	3.51111i	−1.69532	−	0.702223i
$26$	−0.314825	−	0.806874i	−0.0617422	−	0.158241i
$27$	3.77060	−	3.57527i	0.725652	−	0.688062i
$28$	−1.28011	−	0.0529968i	−0.241917	−	0.0100155i
$29$	−4.29221	−	2.86796i	−0.797044	−	0.532568i	0.0890755	−	0.996025i	$-0.471609\pi$
$29$	−4.29221	−	2.86796i	−0.797044	−	0.532568i	−0.886119	+	0.463457i	$0.846609\pi$
$30$	−8.97464	+	2.12266i	−1.63854	+	0.387543i
$31$	7.59147			1.36347			0.681734	−	0.731600i	$-0.261226\pi$
$31$	7.59147			1.36347			0.681734	+	0.731600i	$0.261226\pi$
$32$	4.35385	+	3.61165i	0.769658	+	0.638456i
$33$	−5.29862	−	4.73048i	−0.922372	−	0.823472i
$34$	−4.90987	+	7.02888i	−0.842035	+	1.20544i
$35$	−1.33995	+	2.00538i	−0.226493	+	0.338970i
$36$	−3.92735	+	4.53607i	−0.654558	+	0.756012i
$37$	1.09733	−	5.51665i	0.180400	−	0.906932i	−0.779460	−	0.626452i	$-0.784506\pi$
$37$	1.09733	−	5.51665i	0.180400	−	0.906932i	0.959860	−	0.280480i	$-0.0904935\pi$
$38$	1.44820	+	3.71165i	0.234930	+	0.602108i
$39$	−0.955499	+	0.460720i	−0.153002	+	0.0737742i
$40$	10.0722	−	3.45710i	1.59255	−	0.546616i
$41$	−1.91164	−	4.61510i	−0.298547	−	0.720757i	−0.999968	−	0.00800927i	$-0.997451\pi$
$41$	−1.91164	−	4.61510i	−0.298547	−	0.720757i	0.701421	−	0.712748i	$-0.252549\pi$
$42$	0.0563207	+	1.56814i	0.00869047	+	0.241969i
$43$	−4.03941	−	6.04541i	−0.616005	−	0.921916i	0.383994	−	0.923336i	$-0.374548\pi$
$43$	−4.03941	−	6.04541i	−0.616005	−	0.921916i	−0.999999	+	0.00141909i	$0.999548\pi$
$44$	6.62527	+	4.83490i	0.998798	+	0.728889i
$45$	3.44052	+	10.7581i	0.512882	+	1.60373i
$46$	0.541709	+	0.848200i	0.0798707	+	0.125060i
$47$	−1.35230	+	1.35230i	−0.197253	+	0.197253i	−0.798821	−	0.601568i	$-0.794543\pi$
$47$	−1.35230	+	1.35230i	−0.197253	+	0.197253i	0.601568	+	0.798821i	$0.294543\pi$
$48$	3.99849	−	5.65792i	0.577133	−	0.816650i
$49$	−4.65957	−	4.65957i	−0.665653	−	0.665653i
$50$	2.79409	−	12.6710i	0.395144	−	1.79195i
$51$	9.04713	+	5.33080i	1.26685	+	0.746462i
$52$	1.04572	−	0.637794i	0.145016	−	0.0884462i
$53$	−10.2062	+	6.81957i	−1.40193	+	0.936739i	−0.402153	+	0.915572i	$0.631738\pi$
$53$	−10.2062	+	6.81957i	−1.40193	+	0.936739i	−0.999776	+	0.0211670i	$0.993262\pi$
$54$	5.91028	+	4.36676i	0.804288	+	0.594240i
$55$	14.2646	−	5.90858i	1.92344	−	0.796713i
$56$	−0.242579	−	1.79558i	−0.0324160	−	0.239945i
$57$	4.39532	−	2.11932i	0.582175	−	0.280711i
$58$	2.93269	−	6.68550i	0.385081	−	0.877849i
$59$	2.71635	+	0.540317i	0.353639	+	0.0703432i	0.368713	−	0.929543i	$-0.379798\pi$
$59$	2.71635	+	0.540317i	0.353639	+	0.0703432i	−0.0150741	+	0.999886i	$0.504798\pi$
$60$	−5.17376	−	11.9721i	−0.667929	−	1.54560i
$61$	3.88650	+	2.59688i	0.497615	+	0.332496i	0.778921	−	0.627122i	$-0.215767\pi$
$61$	3.88650	+	2.59688i	0.497615	+	0.332496i	−0.281305	+	0.959618i	$0.590767\pi$
$62$	1.87621	+	10.5708i	0.238279	+	1.34249i
$63$	1.90951	−	0.217040i	0.240576	−	0.0273445i
$64$	−3.95301	+	6.95512i	−0.494126	+	0.869390i
$65$		−	2.30581i		−	0.286001i
$66$	5.27743	−	8.54720i	0.649606	−	1.05209i
$67$	−7.28030	+	10.8957i	−0.889430	+	1.33113i	0.0536498	+	0.998560i	$0.482915\pi$
$67$	−7.28030	+	10.8957i	−0.889430	+	1.33113i	−0.943080	+	0.332566i	$0.892085\pi$
$68$	−11.0008	−	5.09958i	−1.33405	−	0.618415i
$69$	0.984509	−	0.741673i	0.118521	−	0.0892869i
$70$	−3.12355	−	1.37019i	−0.373336	−	0.163769i
$71$	4.11601	−	9.93692i	0.488480	−	1.17930i	−0.467005	−	0.884255i	$-0.654667\pi$
$71$	4.11601	−	9.93692i	0.488480	−	1.17930i	0.955485	−	0.295041i	$-0.0953332\pi$
$72$	−7.28689	−	4.34756i	−0.858768	−	0.512365i
$73$	2.71081	+	6.54447i	0.317276	+	0.765972i	0.999397	+	0.0347326i	$0.0110580\pi$
$73$	2.71081	+	6.54447i	0.317276	+	0.765972i	−0.682120	+	0.731240i	$0.738942\pi$
$74$	7.95286	+	0.164555i	0.924502	+	0.0191291i
$75$	−15.7366	−	2.21379i	−1.81710	−	0.255627i
$76$	−4.81036	+	2.93387i	−0.551787	+	0.336538i
$77$	−0.512515	−	2.57658i	−0.0584065	−	0.293629i
$78$	−0.877678	−	1.21662i	−0.0993775	−	0.137755i
$79$	−4.65680	+	4.65680i	−0.523931	+	0.523931i	−0.918756	−	0.394825i	$-0.870805\pi$
$79$	−4.65680	+	4.65680i	−0.523931	+	0.523931i	0.394825	+	0.918756i	$0.370805\pi$
$80$	7.30314	+	13.1706i	0.816516	+	1.47251i
$81$	4.77338	−	7.62986i	0.530376	−	0.847763i
$82$	5.95384	−	3.80246i	0.657491	−	0.419912i
$83$	−0.905573	−	4.55262i	−0.0993996	−	0.499715i	−0.998125	−	0.0612041i	$-0.980506\pi$
$83$	−0.905573	−	4.55262i	−0.0993996	−	0.499715i	0.898726	−	0.438511i	$-0.144494\pi$
$84$	−2.16963	+	0.465984i	−0.236726	+	0.0508430i
$85$	−18.9789	+	12.6813i	−2.05855	+	1.37548i
$86$	7.41961	−	7.11879i	0.800077	−	0.767639i
$87$	−8.44088	−	2.94896i	−0.904958	−	0.316162i
$88$	−5.09495	+	10.4203i	−0.543123	+	1.11081i
$89$	−3.99406	+	9.64250i	−0.423369	+	1.02210i	0.557977	+	0.829856i	$0.311578\pi$
$89$	−3.99406	+	9.64250i	−0.423369	+	1.02210i	−0.981347	+	0.192247i	$0.938422\pi$
$90$	−14.1299	+	7.44959i	−1.48942	+	0.785256i
$91$	−0.384790	−	0.0765396i	−0.0403370	−	0.00802353i
$92$	−1.04719	+	0.963933i	−0.109178	+	0.100497i
$93$	12.7304	−	3.29049i	1.32009	−	0.341208i
$94$	−2.21722	−	1.54879i	−0.228689	−	0.159746i
$95$			10.6068i			1.08823i
$96$	8.86659	+	4.16937i	0.904942	+	0.425534i
$97$			9.22995i			0.937160i	0.883421	+	0.468580i	$0.155234\pi$
$97$			9.22995i			0.937160i	−0.883421	+	0.468580i	$0.844766\pi$
$98$	5.33662	−	7.63982i	0.539081	−	0.771739i
$99$	−10.9359	−	5.63607i	−1.09910	−	0.566447i
$100$	18.3343	+	0.759044i	1.83343	+	0.0759044i
$101$	−11.0117	−	2.19037i	−1.09571	−	0.217950i	−0.386036	−	0.922484i	$-0.626156\pi$
$101$	−11.0117	−	2.19037i	−1.09571	−	0.217950i	−0.709670	+	0.704534i	$0.751156\pi$
$102$	−5.18691	+	13.9152i	−0.513581	+	1.37781i
$103$	−1.65690	+	4.00011i	−0.163259	+	0.394143i	−0.984246	−	0.176805i	$-0.943424\pi$
$103$	−1.65690	+	4.00011i	−0.163259	+	0.394143i	0.820987	+	0.570947i	$0.193424\pi$
$104$	1.14654	+	1.29849i	0.112428	+	0.127328i
$105$	−1.37779	+	3.94369i	−0.134459	+	0.384864i
$106$	−12.0183	−	12.5262i	−1.16732	−	1.21665i
$107$	−7.40170	+	4.94566i	−0.715549	+	0.478115i	−0.859282	−	0.511502i	$-0.829089\pi$
$107$	−7.40170	+	4.94566i	−0.715549	+	0.478115i	0.143733	+	0.989617i	$0.454089\pi$
$108$	−4.61978	+	9.30901i	−0.444539	+	0.895760i
$109$	0.279938	+	1.40734i	0.0268132	+	0.134799i	0.991873	−	0.127230i	$-0.0406085\pi$
$109$	0.279938	+	1.40734i	0.0268132	+	0.134799i	−0.965060	+	0.262029i	$0.915609\pi$
$110$	11.7529	+	18.4024i	1.12059	+	1.75460i
$111$	−0.551010	−	9.72672i	−0.0522995	−	0.923219i
$112$	2.44031	−	0.781552i	0.230587	−	0.0738497i
$113$	8.24046	−	8.24046i	0.775198	−	0.775198i	−0.203812	−	0.979010i	$-0.565333\pi$
$113$	8.24046	−	8.24046i	0.775198	−	0.775198i	0.979010	+	0.203812i	$0.0653332\pi$
$114$	4.03734	+	5.59649i	0.378132	+	0.524159i
$115$	0.522713	+	2.62786i	0.0487433	+	0.245049i
$116$	10.0340	+	2.43133i	0.931637	+	0.225743i
$117$	−1.40262	+	1.18676i	−0.129672	+	0.109716i
$118$	−0.0810256	+	3.91593i	−0.00745901	+	0.360490i
$119$	1.48625	+	3.58812i	0.136244	+	0.328923i
$120$	15.3919	−	10.1631i	1.40508	−	0.927758i
$121$	−2.22631	+	5.37480i	−0.202392	+	0.488618i
$122$	−2.65549	+	6.05357i	−0.240416	+	0.548064i
$123$	−5.20609	−	6.91065i	−0.469417	−	0.623112i
$124$	−14.2555	+	5.22506i	−1.28019	+	0.469224i
$125$	8.73283	−	13.0696i	0.781088	−	1.16898i
$126$	0.774147	+	2.60526i	0.0689665	+	0.232095i
$127$		−	14.9194i		−	1.32388i	−0.749557	−	0.661940i	$-0.769734\pi$
$127$		−	14.9194i		−	1.32388i	0.749557	−	0.661940i	$-0.230266\pi$
$128$	−10.6616	−	3.78543i	−0.942365	−	0.334588i
$129$	−9.39421	−	8.38692i	−0.827114	−	0.738427i
$130$	3.21073	−	0.569874i	0.281599	−	0.0499812i
$131$	−5.02337	−	3.35651i	−0.438894	−	0.293259i	0.316424	−	0.948618i	$-0.397518\pi$
$131$	−5.02337	−	3.35651i	−0.438894	−	0.293259i	−0.755318	+	0.655358i	$0.772518\pi$
$132$	13.2058	+	5.23614i	1.14942	+	0.455748i
$133$	1.77005	+	0.352084i	0.153483	+	0.0305296i
$134$	−16.9711	−	7.44461i	−1.46608	−	0.643116i
$135$	10.4326	+	16.5495i	0.897896	+	1.42435i
$136$	4.38209	−	16.5785i	0.375761	−	1.42159i
$137$	17.1672	−	7.11089i	1.46669	−	0.607524i	0.500591	−	0.865684i	$-0.333116\pi$
$137$	17.1672	−	7.11089i	1.46669	−	0.607524i	0.966102	+	0.258159i	$0.0831159\pi$
$138$	1.27606	+	1.18758i	0.108626	+	0.101093i
$139$	4.07395	−	2.72213i	0.345548	−	0.230888i	−0.370670	−	0.928765i	$-0.620872\pi$
$139$	4.07395	−	2.72213i	0.345548	−	0.230888i	0.716218	+	0.697877i	$0.245872\pi$
$140$	1.13595	−	4.68803i	0.0960050	−	0.396211i
$141$	−1.68157	+	2.85387i	−0.141614	+	0.240339i
$142$	14.8539	+	3.27546i	1.24651	+	0.274870i
$143$	1.77595	+	1.77595i	0.148512	+	0.148512i
$144$	4.25283	−	11.2211i	0.354403	−	0.935093i
$145$	13.7430	−	13.7430i	1.14129	−	1.14129i
$146$	−8.44288	+	5.39211i	−0.698738	+	0.446254i
$147$	−9.83349	−	5.79415i	−0.811052	−	0.477893i
$148$	1.73639	+	11.1146i	0.142730	+	0.913618i
$149$	−3.05420	−	4.57094i	−0.250210	−	0.374466i	0.685009	−	0.728534i	$-0.259798\pi$
$149$	−3.05420	−	4.57094i	−0.250210	−	0.374466i	−0.935220	+	0.354068i	$0.884798\pi$
$150$	−0.806650	−	22.4596i	−0.0658627	−	1.83381i
$151$	3.29740	+	7.96064i	0.268339	+	0.647828i	0.999405	−	0.0344787i	$-0.0109771\pi$
$151$	3.29740	+	7.96064i	0.268339	+	0.647828i	−0.731066	+	0.682306i	$0.760977\pi$
$152$	−5.27414	−	5.97310i	−0.427789	−	0.484482i
$153$	17.4821	+	5.01800i	1.41334	+	0.405681i
$154$	3.46110	−	1.35045i	0.278903	−	0.108822i
$155$	−5.57600	+	28.0325i	−0.447875	+	2.25162i
$156$	1.47717	−	1.52281i	0.118268	−	0.121922i
$157$	−0.937808	+	1.40353i	−0.0748453	+	0.112014i	−0.867004	−	0.498302i	$-0.833957\pi$
$157$	−0.937808	+	1.40353i	−0.0748453	+	0.112014i	0.792159	+	0.610315i	$0.208957\pi$
$158$	−7.63528	−	5.33345i	−0.607430	−	0.424307i
$159$	−14.1593	+	15.8598i	−1.12290	+	1.25777i
$160$	−16.5344	+	13.4243i	−1.30716	+	1.06129i
$161$	0.455884			0.0359287
$162$	11.8039	+	4.76100i	0.927405	+	0.374060i
$163$	17.0699	+	11.4057i	1.33702	+	0.893366i	0.998861	−	0.0477234i	$-0.0151966\pi$
$163$	17.0699	+	11.4057i	1.33702	+	0.893366i	0.338157	+	0.941090i	$0.390197\pi$
$164$	6.76621	+	7.35066i	0.528353	+	0.573990i
$165$	21.3598	−	16.0913i	1.66286	−	1.25270i
$166$	6.11549	−	2.38613i	0.474654	−	0.185200i
$167$	−18.5239	−	7.67287i	−1.43343	−	0.593745i	−0.475231	−	0.879861i	$-0.657636\pi$
$167$	−18.5239	−	7.67287i	−1.43343	−	0.593745i	−0.958195	+	0.286116i	$0.907636\pi$
$168$	−1.18508	−	2.90594i	−0.0914307	−	0.224198i
$169$	−11.6639	+	4.83135i	−0.897223	+	0.371642i
$170$	−22.3487	−	23.2931i	−1.71407	−	1.78650i
$171$	6.45208	−	5.45911i	0.493403	−	0.417469i
$172$	11.7463	+	8.57205i	0.895646	+	0.653613i
$173$	−5.65965	+	1.12577i	−0.430295	+	0.0855911i	−0.405486	−	0.914101i	$-0.632898\pi$
$173$	−5.65965	+	1.12577i	−0.430295	+	0.0855911i	−0.0248091	+	0.999692i	$0.507898\pi$
$174$	2.02015	−	12.4823i	0.153147	−	0.946284i
$175$	−4.15603	−	4.15603i	−0.314166	−	0.314166i
$176$	−15.7689	−	4.51912i	−1.18863	−	0.340641i
$177$	4.78936	−	0.271313i	0.359990	−	0.0203931i
$178$	−14.4138	−	3.17841i	−1.08036	−	0.238232i
$179$	11.4996	−	2.28742i	0.859523	−	0.170970i	0.254398	−	0.967100i	$-0.418123\pi$
$179$	11.4996	−	2.28742i	0.859523	−	0.170970i	0.605126	+	0.796130i	$0.293123\pi$
$180$	−13.8653	−	17.8340i	−1.03346	−	1.32927i
$181$	2.25929	+	3.38126i	0.167931	+	0.251327i	0.905884	−	0.423525i	$-0.139207\pi$
$181$	2.25929	+	3.38126i	0.167931	+	0.251327i	−0.737953	+	0.674852i	$0.764207\pi$
$182$	0.0114778	−	0.554718i	0.000850794	−	0.0411184i
$183$	7.64303	+	2.67022i	0.564989	+	0.197388i
$184$	−1.60104	−	1.21993i	−0.118030	−	0.0899347i
$185$	19.5649	+	8.10406i	1.43844	+	0.595822i
$186$	7.72813	+	16.9133i	0.566654	+	1.24014i
$187$	4.85045	−	24.3849i	0.354700	−	1.78320i
$188$	1.60864	−	3.47015i	0.117322	−	0.253087i
$189$	3.10806	−	1.19163i	0.226078	−	0.0866784i
$190$	−14.7694	+	2.62144i	−1.07149	+	0.190179i
$191$	−1.65466			−0.119727			−0.0598636	−	0.998207i	$-0.519067\pi$
$191$	−1.65466			−0.119727			−0.0598636	+	0.998207i	$0.519067\pi$
$192$	−3.61429	+	13.3767i	−0.260839	+	0.965382i
$193$	14.1334			1.01734			0.508671	−	0.860961i	$-0.330137\pi$
$193$	14.1334			1.01734			0.508671	+	0.860961i	$0.330137\pi$
$194$	−12.8523	+	2.28115i	−0.922738	+	0.163777i
$195$	−0.999442	−	3.86670i	−0.0715715	−	0.276900i
$196$	11.9570	+	5.54283i	0.854072	+	0.395916i
$197$	−3.34514	+	16.8172i	−0.238332	+	1.19817i	0.657387	+	0.753553i	$0.271662\pi$
$197$	−3.34514	+	16.8172i	−0.238332	+	1.19817i	−0.895719	+	0.444621i	$0.853338\pi$
$198$	5.14518	−	16.6206i	0.365652	−	1.18118i
$199$	−23.0939	−	9.56579i	−1.63708	−	0.678101i	−0.641083	−	0.767472i	$-0.721514\pi$
$199$	−23.0939	−	9.56579i	−1.63708	−	0.678101i	−0.995998	+	0.0893708i	$0.971514\pi$
$200$	3.47432	+	25.7172i	0.245672	+	1.81848i
$201$	−7.48591	+	21.4271i	−0.528016	+	1.51135i
$202$	0.328466	−	15.8746i	0.0231108	−	1.11693i
$203$	−1.83722	−	2.74960i	−0.128948	−	0.192984i
$204$	−20.6581	−	3.78343i	−1.44636	−	0.264893i
$205$	18.4459	−	3.66912i	1.28832	−	0.256263i
$206$	−5.97945	−	1.31854i	−0.416608	−	0.0918668i
$207$	1.32949	−	1.67047i	0.0924058	−	0.116106i
$208$	−1.52472	+	1.91742i	−0.105720	+	0.132949i
$209$	−8.16940	−	8.16940i	−0.565089	−	0.565089i
$210$	−5.83191	−	0.943838i	−0.402440	−	0.0651310i
$211$	−3.05236	+	0.607152i	−0.210133	+	0.0417980i	−0.299034	−	0.954242i	$-0.596664\pi$
$211$	−3.05236	+	0.607152i	−0.210133	+	0.0417980i	0.0889012	+	0.996040i	$0.471664\pi$
$212$	14.4718	−	19.8307i	0.993928	−	1.36198i
$213$	2.59518	−	18.4477i	0.177819	−	1.26401i
$214$	−8.71589	−	9.08420i	−0.595806	−	0.620983i
$215$	25.2904	−	10.4756i	1.72479	−	0.714432i
$216$	−14.1041	−	4.13213i	−0.959662	−	0.281156i
$217$	4.49293	+	1.86103i	0.305000	+	0.126335i
$218$	−1.89047	+	0.737619i	−0.128039	+	0.0499579i
$219$	7.38253	+	9.79969i	0.498865	+	0.662202i
$220$	−22.7198	+	20.9134i	−1.53177	+	1.40998i
$221$	−3.08726	−	2.06284i	−0.207671	−	0.138762i
$222$	13.4078	−	3.17118i	0.899872	−	0.212836i
$223$	4.95171			0.331591			0.165795	−	0.986160i	$-0.446981\pi$
$223$	4.95171			0.331591			0.165795	+	0.986160i	$0.446981\pi$
$224$	1.69139	+	3.20485i	0.113011	+	0.214133i
$225$	−27.3489	+	3.10855i	−1.82326	+	0.207237i
$226$	13.5110	+	9.43783i	0.898741	+	0.627795i
$227$	6.75346	−	10.1073i	0.448243	−	0.670843i	−0.536690	−	0.843780i	$-0.680326\pi$
$227$	6.75346	−	10.1073i	0.448243	−	0.670843i	0.984933	+	0.172936i	$0.0553255\pi$
$228$	−6.79502	+	7.00496i	−0.450011	+	0.463915i
$229$	−1.78525	+	8.97505i	−0.117973	+	0.593088i	0.875894	+	0.482503i	$0.160272\pi$
$229$	−1.78525	+	8.97505i	−0.117973	+	0.593088i	−0.993867	+	0.110585i	$0.964728\pi$
$230$	−3.52997	+	1.37732i	−0.232760	+	0.0908177i
$231$	−1.97626	−	4.09863i	−0.130029	−	0.269670i
$232$	−0.905624	+	14.5728i	−0.0594571	+	0.956751i
$233$	4.50354	+	10.8725i	0.295036	+	0.712281i	0.999995	+	0.00303281i	$0.000965374\pi$
$233$	4.50354	+	10.8725i	0.295036	+	0.712281i	−0.704959	+	0.709248i	$0.749035\pi$
$234$	−1.99915	−	1.65977i	−0.130689	−	0.108503i
$235$	−4.00025	−	5.98680i	−0.260948	−	0.390536i
$236$	−5.47276	+	0.854985i	−0.356246	+	0.0556548i
$237$	−5.79070	+	9.82764i	−0.376147	+	0.638374i
$238$	−4.62896	+	2.95632i	−0.300051	+	0.191630i
$239$	8.58029	−	8.58029i	0.555013	−	0.555013i	−0.372871	−	0.927883i	$-0.621627\pi$
$239$	8.58029	−	8.58029i	0.555013	−	0.555013i	0.927883	+	0.372871i	$0.121627\pi$
$240$	17.9556	+	18.9207i	1.15903	+	1.22133i
$241$	−7.37112	−	7.37112i	−0.474816	−	0.474816i	0.428653	−	0.903469i	$-0.358988\pi$
$241$	−7.37112	−	7.37112i	−0.474816	−	0.474816i	−0.903469	+	0.428653i	$0.858988\pi$
$242$	−8.03436	−	1.77167i	−0.516468	−	0.113887i
$243$	4.69754	−	14.8638i	0.301348	−	0.953514i
$244$	−9.08559	−	2.20151i	−0.581645	−	0.140937i
$245$	20.6285	−	13.7836i	1.31791	−	0.880599i
$246$	8.33606	−	8.95716i	0.531488	−	0.571088i
$247$	−1.59404	+	0.660275i	−0.101427	+	0.0420123i
$248$	−10.7988	−	18.5588i	−0.685727	−	1.17848i
$249$	−3.49190	−	7.24196i	−0.221290	−	0.458940i
$250$	20.3571	+	8.92993i	1.28749	+	0.564778i
$251$	1.37590	+	0.273683i	0.0868459	+	0.0172747i	0.238322	−	0.971186i	$-0.423403\pi$
$251$	1.37590	+	0.273683i	0.0868459	+	0.0172747i	−0.151476	+	0.988461i	$0.548403\pi$
$252$	−3.43636	+	1.72184i	−0.216471	+	0.108466i
$253$	−2.42658	−	1.62139i	−0.152558	−	0.101936i
$254$	20.7745	−	3.68727i	1.30351	−	0.231360i
$255$	−26.3299	+	29.4921i	−1.64884	+	1.84687i
$256$	2.63603	−	15.7814i	0.164752	−	0.986335i
$257$		−	0.156443i		−	0.00975863i	−0.999988	−	0.00487932i	$-0.998447\pi$
$257$		−	0.156443i		−	0.00975863i	0.999988	−	0.00487932i	$-0.00155314\pi$
$258$	9.35663	−	15.1538i	0.582518	−	0.943432i
$259$	2.00184	−	2.99596i	0.124388	−	0.186160i
$260$	1.58704	+	4.32994i	0.0984241	+	0.268531i
$261$	−15.4331	−	1.28657i	−0.955283	−	0.0796368i
$262$	3.43226	−	7.82434i	0.212046	−	0.483389i
$263$	4.78540	−	11.5530i	0.295080	−	0.712387i	−0.704915	−	0.709292i	$-0.749015\pi$
$263$	4.78540	−	11.5530i	0.295080	−	0.712387i	0.999995	−	0.00309492i	$-0.000985145\pi$
$264$	−4.02729	+	19.6826i	−0.247862	+	1.21138i
$265$	−17.6856	−	42.6967i	−1.08641	−	2.62284i
$266$	−0.0527984	+	2.55172i	−0.00323728	+	0.156456i
$267$	−2.51829	+	17.9011i	−0.154117	+	1.09553i
$268$	6.17190	−	25.4713i	0.377009	−	1.55591i
$269$	2.78862	+	14.0194i	0.170025	+	0.854775i	0.967781	+	0.251794i	$0.0810206\pi$
$269$	2.78862	+	14.0194i	0.170025	+	0.854775i	−0.797755	+	0.602981i	$0.793979\pi$
$270$	−20.4659	+	18.6170i	−1.24552	+	1.13300i
$271$	−5.77368	+	5.77368i	−0.350726	+	0.350726i	−0.860380	−	0.509654i	$-0.829774\pi$
$271$	−5.77368	+	5.77368i	−0.350726	+	0.350726i	0.509654	+	0.860380i	$0.329774\pi$
$272$	24.1677	+	2.00454i	1.46538	+	0.121543i
$273$	−0.678446	+	0.0384333i	−0.0410614	+	0.00232609i
$274$	14.1444	+	22.1471i	0.854494	+	1.33795i
$275$	7.34046	+	36.9030i	0.442647	+	2.22534i
$276$	−1.33827	+	2.07036i	−0.0805543	+	0.124621i
$277$	−0.0863250	+	0.0576805i	−0.00518677	+	0.00346569i	−0.558161	−	0.829733i	$-0.688493\pi$
$277$	−0.0863250	+	0.0576805i	−0.00518677	+	0.00346569i	0.552974	+	0.833198i	$0.313493\pi$
$278$	4.79729	+	5.00001i	0.287722	+	0.299881i
$279$	19.9219	−	11.0359i	1.19269	−	0.660702i
$280$	6.80859	+	0.423119i	0.406891	+	0.0252862i
$281$	−3.55056	+	8.57182i	−0.211809	+	0.511352i	−0.993701	−	0.112062i	$-0.964255\pi$
$281$	−3.55056	+	8.57182i	−0.211809	+	0.511352i	0.781892	+	0.623413i	$0.214255\pi$
$282$	−4.38947	−	1.63618i	−0.261389	−	0.0974334i
$283$	6.26361	+	1.24591i	0.372333	+	0.0740616i	0.377710	−	0.925924i	$-0.376712\pi$
$283$	6.26361	+	1.24591i	0.372333	+	0.0740616i	−0.00537710	+	0.999986i	$0.501712\pi$
$284$	−0.889812	+	21.4929i	−0.0528006	+	1.27537i
$285$	4.59746	+	17.7869i	0.272330	+	1.05361i
$286$	−2.03400	+	2.91184i	−0.120273	+	0.172180i
$287$		−	3.20002i		−	0.188891i
$288$	16.6759	+	3.14860i	0.982638	+	0.185533i
$289$			19.7560i			1.16212i
$290$	22.5330	+	15.7399i	1.32318	+	0.924278i
$291$	4.00068	+	15.4781i	0.234524	+	0.907341i
$292$	−9.59488	−	10.4237i	−0.561498	−	0.609998i
$293$	27.6612	+	5.50216i	1.61599	+	0.321440i	0.918580	−	0.395235i	$-0.129337\pi$
$293$	27.6612	+	5.50216i	1.61599	+	0.321440i	0.697407	+	0.716675i	$0.254337\pi$
$294$	5.63775	−	15.1247i	0.328800	−	0.882088i
$295$	−3.99037	+	9.63361i	−0.232328	+	0.560891i
$296$	−15.0474	+	5.16478i	−0.874615	+	0.300197i
$297$	−20.7817	−	4.71125i	−1.20588	−	0.273374i
$298$	5.60997	−	5.38252i	0.324977	−	0.311801i
$299$	−0.362389	+	0.242141i	−0.0209575	+	0.0140034i
$300$	31.0745	−	6.67403i	1.79408	−	0.385325i
$301$	−0.908664	−	4.56816i	−0.0523745	−	0.263304i
$302$	−10.2699	+	6.55892i	−0.590964	+	0.377423i
$303$	−19.4154	+	1.09986i	−1.11538	+	0.0631855i
$304$	7.01376	−	8.82021i	0.402266	−	0.505874i
$305$	−12.4440	+	12.4440i	−0.712539	+	0.712539i
$306$	−2.66668	+	25.5831i	−0.152444	+	1.46249i
$307$	−3.05943	−	15.3808i	−0.174611	−	0.877827i	−0.964400	−	0.264449i	$-0.914810\pi$
$307$	−3.05943	−	15.3808i	−0.174611	−	0.877827i	0.789789	−	0.613378i	$-0.210190\pi$
$308$	2.73583	+	4.48565i	0.155888	+	0.255594i
$309$	−1.04469	+	7.42612i	−0.0594305	+	0.422457i
$310$	−40.4119	−	0.836175i	−2.29524	−	0.0474915i
$311$	0.133926	+	0.323325i	0.00759422	+	0.0183341i	0.927631	−	0.373498i	$-0.121842\pi$
$311$	0.133926	+	0.323325i	0.00759422	+	0.0183341i	−0.920037	+	0.391832i	$0.871842\pi$
$312$	2.48551	+	1.68053i	0.140714	+	0.0951411i
$313$	−8.55856	+	20.6622i	−0.483759	+	1.16790i	0.474052	+	0.880497i	$0.342791\pi$
$313$	−8.55856	+	20.6622i	−0.483759	+	1.16790i	−0.957811	+	0.287400i	$0.907209\pi$
$314$	−2.18612	−	0.958974i	−0.123370	−	0.0541180i
$315$	−0.601103	+	7.21052i	−0.0338683	+	0.406267i
$316$	5.53953	−	11.9499i	0.311623	−	0.672234i
$317$	6.74577	−	10.0958i	0.378880	−	0.567034i	−0.592199	−	0.805792i	$-0.701740\pi$
$317$	6.74577	−	10.0958i	0.378880	−	0.567034i	0.971079	+	0.238758i	$0.0767401\pi$
$318$	−25.5834	−	15.7964i	−1.43465	−	0.885817i
$319$			21.1698i			1.18528i
$320$	−22.7791	−	19.7056i	−1.27339	−	1.10158i
$321$	−10.2685	+	11.5018i	−0.573134	+	0.641968i
$322$	0.112670	+	0.634796i	0.00627887	+	0.0353758i
$323$	14.2015	+	9.48912i	0.790191	+	0.527989i
$324$	−3.71215	+	17.6131i	−0.206231	+	0.978503i
$325$	5.51114	+	1.09623i	0.305703	+	0.0608081i
$326$	−11.6632	+	26.5879i	−0.645963	+	1.47257i
$327$	1.07944	+	2.23869i	0.0596934	+	0.123800i
$328$	−8.56318	+	11.2383i	−0.472822	+	0.620532i
$329$	−1.13185	+	0.468830i	−0.0624012	+	0.0258474i
$330$	27.6853	+	25.7656i	1.52402	+	1.41835i
$331$	−11.2070	+	7.48830i	−0.615994	+	0.411594i	−0.824045	−	0.566524i	$-0.808288\pi$
$331$	−11.2070	+	7.48830i	−0.615994	+	0.411594i	0.208051	+	0.978118i	$0.433288\pi$
$332$	4.83400	+	7.92580i	0.265300	+	0.434985i
$333$	−5.14001	−	16.0723i	−0.281671	−	0.880756i
$334$	6.10596	−	27.6900i	0.334103	−	1.51513i
$335$	−34.8864	−	34.8864i	−1.90605	−	1.90605i
$336$	3.75349	−	2.36835i	0.204770	−	0.129204i
$337$	4.26774	−	4.26774i	0.232479	−	0.232479i	−0.581248	−	0.813727i	$-0.697435\pi$
$337$	4.26774	−	4.26774i	0.232479	−	0.232479i	0.813727	+	0.581248i	$0.197435\pi$
$338$	−9.61011	−	15.0474i	−0.522721	−	0.818468i
$339$	10.2470	−	17.3905i	0.556539	−	0.944525i
$340$	26.9110	−	36.8763i	1.45946	−	1.99990i
$341$	−17.2961	−	25.8854i	−0.936635	−	1.40177i
$342$	9.19615	+	7.63500i	0.497271	+	0.412854i
$343$	−3.33147	−	8.04287i	−0.179882	−	0.434274i
$344$	−9.03310	+	18.4747i	−0.487032	+	0.996088i
$345$	2.01559	+	4.18019i	0.108516	+	0.225054i
$346$	−2.96635	−	7.60255i	−0.159472	−	0.408716i
$347$	2.00785	−	10.0941i	0.107787	−	0.541882i	−0.888726	−	0.458440i	$-0.848409\pi$
$347$	2.00785	−	10.0941i	0.107787	−	0.541882i	0.996513	−	0.0834423i	$-0.0265914\pi$
$348$	17.8803	−	0.272015i	0.958485	−	0.0145815i
$349$	2.77482	−	4.15280i	0.148532	−	0.222295i	−0.749741	−	0.661731i	$-0.769822\pi$
$349$	2.77482	−	4.15280i	0.148532	−	0.222295i	0.898274	+	0.439437i	$0.144822\pi$
$350$	4.75991	−	6.81421i	0.254428	−	0.364235i
$351$	−1.83771	+	2.59807i	−0.0980898	+	0.138675i
$352$	2.39540	−	23.0744i	0.127675	−	1.22987i
$353$	−2.01567			−0.107283			−0.0536417	−	0.998560i	$-0.517083\pi$
$353$	−2.01567			−0.107283			−0.0536417	+	0.998560i	$0.517083\pi$
$354$	1.56146	+	6.60189i	0.0829909	+	0.350887i
$355$	33.6701	+	22.4976i	1.78702	+	1.19405i
$356$	0.863448	−	20.8561i	0.0457627	−	1.10537i
$357$	4.04760	+	5.37286i	0.214222	+	0.284362i
$358$	6.02722	+	15.4474i	0.318548	+	0.816418i
$359$	−6.88548	−	2.85206i	−0.363402	−	0.150526i	0.193508	−	0.981099i	$-0.438013\pi$
$359$	−6.88548	−	2.85206i	−0.363402	−	0.150526i	−0.556910	+	0.830573i	$0.688013\pi$
$360$	21.4062	−	23.7144i	1.12821	−	1.24986i
$361$	−10.2211	+	4.23370i	−0.537951	+	0.222826i
$362$	−4.14986	+	3.98161i	−0.218112	+	0.209269i
$363$	−1.40371	+	9.97819i	−0.0736758	+	0.523719i
$364$	0.775254	−	0.121114i	0.0406344	−	0.00634812i
$365$	−26.1574	+	5.20303i	−1.36914	+	0.272339i
$366$	−1.82920	+	11.3025i	−0.0956137	+	0.590790i
$367$	−2.51906	−	2.51906i	−0.131494	−	0.131494i	0.638297	−	0.769790i	$-0.279639\pi$
$367$	−2.51906	−	2.51906i	−0.131494	−	0.131494i	−0.769790	+	0.638297i	$0.779639\pi$
$368$	1.30300	−	2.53087i	0.0679238	−	0.131931i
$369$	−11.7257	−	9.33218i	−0.610414	−	0.485814i
$370$	−6.44909	+	29.2461i	−0.335272	+	1.52043i
$371$	−7.71222	+	1.53406i	−0.400399	+	0.0796443i
$372$	−21.6409	+	14.9411i	−1.12203	+	0.774660i
$373$	−18.9520	−	28.3636i	−0.981297	−	1.46861i	−0.880693	−	0.473687i	$-0.842923\pi$
$373$	−18.9520	−	28.3636i	−0.981297	−	1.46861i	−0.100604	−	0.994927i	$-0.532077\pi$
$374$	35.1535	+	0.727371i	1.81774	+	0.0376115i
$375$	8.97947	−	25.7021i	0.463698	−	1.32725i
$376$	5.22959	+	1.38231i	0.269695	+	0.0712871i
$377$	2.92087	+	1.20986i	0.150433	+	0.0623112i
$378$	2.42743	+	4.03331i	0.124854	+	0.207451i
$379$	−0.229224	+	1.15239i	−0.0117745	+	0.0591942i	−0.986226	−	0.165404i	$-0.947107\pi$
$379$	−0.229224	+	1.15239i	−0.0117745	+	0.0591942i	0.974451	+	0.224599i	$0.0721071\pi$
$380$	−7.30044	−	19.9178i	−0.374505	−	1.02176i
$381$	−6.46672	−	25.0189i	−0.331300	−	1.28175i
$382$	−0.408944	−	2.30403i	−0.0209234	−	0.117885i
$383$	29.0885			1.48635			0.743177	−	0.669095i	$-0.233318\pi$
$383$	29.0885			1.48635			0.743177	+	0.669095i	$0.233318\pi$
$384$	−19.5197	−	1.72670i	−0.996110	−	0.0881154i
$385$	9.89081			0.504082
$386$	3.49302	+	19.6800i	0.177790	+	1.00169i
$387$	−19.3888	−	9.99248i	−0.985587	−	0.507947i
$388$	−6.35279	−	17.3323i	−0.322514	−	0.879917i
$389$	0.303472	−	1.52566i	0.0153866	−	0.0773538i	−0.972329	−	0.233615i	$-0.924944\pi$
$389$	0.303472	−	1.52566i	0.0153866	−	0.0773538i	0.987716	+	0.156262i	$0.0499443\pi$
$390$	5.13718	−	2.34732i	0.260131	−	0.118861i
$391$	3.98608	+	1.65109i	0.201585	+	0.0834991i
$392$	−4.76298	+	18.0194i	−0.240567	+	0.910119i
$393$	−9.87874	−	3.45130i	−0.498317	−	0.174095i
$394$	−24.2438	−	0.501636i	−1.22139	−	0.0252721i
$395$	−13.7754	−	20.6163i	−0.693114	−	1.03732i
$396$	24.4150	+	3.05669i	1.22690	+	0.153604i
$397$	3.93917	−	0.783549i	0.197701	−	0.0393252i	−0.0952464	−	0.995454i	$-0.530364\pi$
$397$	3.93917	−	0.783549i	0.197701	−	0.0393252i	0.292947	+	0.956129i	$0.405364\pi$
$398$	7.61232	−	34.5212i	0.381571	−	1.73039i
$399$	3.12087	−	0.176794i	0.156239	−	0.00885079i
$400$	−34.9512	+	11.1937i	−1.74756	+	0.559687i
$401$	2.34964	+	2.34964i	0.117335	+	0.117335i	0.763336	−	0.646001i	$-0.223560\pi$
$401$	2.34964	+	2.34964i	0.117335	+	0.117335i	−0.646001	+	0.763336i	$0.723560\pi$
$402$	−31.6863	−	5.12813i	−1.58037	−	0.255768i
$403$	−4.55997	+	0.907035i	−0.227148	+	0.0451826i
$404$	22.1858	−	3.46599i	1.10378	−	0.172439i
$405$	24.6681	+	23.2305i	1.22577	+	1.15433i
$406$	3.37461	−	3.23780i	0.167479	−	0.160689i
$407$	−21.3108	+	8.82721i	−1.05634	+	0.437549i
$408$	0.162654	−	29.7005i	0.00805258	−	1.47039i
$409$	23.4519	+	9.71411i	1.15962	+	0.480332i	0.877750	−	0.479120i	$-0.159044\pi$
$409$	23.4519	+	9.71411i	1.15962	+	0.480332i	0.281874	+	0.959451i	$0.409044\pi$
$410$	9.66793	+	24.7782i	0.477465	+	1.22371i
$411$	25.7062	−	19.3656i	1.26799	−	0.955233i
$412$	0.358194	−	8.65197i	0.0176470	−	0.426252i
$413$	1.47519	+	0.985688i	0.0725892	+	0.0485025i
$414$	2.65463	+	1.43839i	0.130468	+	0.0706932i
$415$	17.4763			0.857877
$416$	−3.04675	−	1.64921i	−0.149379	−	0.0808592i
$417$	5.65188	−	6.33068i	0.276774	−	0.310015i
$418$	9.35645	−	13.3945i	0.457639	−	0.655148i
$419$	−14.8175	+	22.1760i	−0.723882	+	1.08337i	0.268869	+	0.963177i	$0.413350\pi$
$419$	−14.8175	+	22.1760i	−0.723882	+	1.08337i	−0.992751	+	0.120189i	$0.961650\pi$
$420$	−0.127089	−	8.35391i	−0.00620129	−	0.407629i
$421$	1.89245	−	9.51401i	0.0922326	−	0.463684i	−0.906873	−	0.421404i	$-0.861538\pi$
$421$	1.89245	−	9.51401i	0.0922326	−	0.463684i	0.999106	−	0.0422808i	$-0.0134624\pi$
$422$	−1.59981	−	4.10020i	−0.0778775	−	0.199595i
$423$	−1.58290	+	5.51463i	−0.0769634	+	0.268131i
$424$	31.1900	+	15.2502i	1.51472	+	0.740614i
$425$	−21.2867	−	51.3907i	−1.03256	−	2.49282i
$426$	26.3289	−	0.945619i	1.27564	−	0.0458154i
$427$	1.66356	+	2.48970i	0.0805055	+	0.120485i
$428$	10.4952	−	14.3816i	0.507304	−	0.695160i
$429$	3.74793	+	2.20838i	0.180952	+	0.106622i
$430$	20.8373	+	32.6266i	1.00486	+	1.57340i
$431$	11.0603	−	11.0603i	0.532756	−	0.532756i	−0.388636	−	0.921392i	$-0.627054\pi$
$431$	11.0603	−	11.0603i	0.532756	−	0.532756i	0.921392	+	0.388636i	$0.127054\pi$
$432$	2.26800	−	20.6605i	0.109119	−	0.994029i
$433$	25.7432	+	25.7432i	1.23714	+	1.23714i	0.961166	+	0.275971i	$0.0889993\pi$
$433$	25.7432	+	25.7432i	1.23714	+	1.23714i	0.275971	+	0.961166i	$0.411001\pi$
$434$	−1.48098	+	6.71613i	−0.0710894	+	0.322384i
$435$	17.0893	−	29.0030i	0.819370	−	1.39059i
$436$	−1.49432	−	2.45008i	−0.0715650	−	0.117338i
$437$	1.66700	−	1.11385i	0.0797434	−	0.0532829i
$438$	−11.8210	+	12.7018i	−0.564830	+	0.606914i
$439$	−38.3284	+	15.8762i	−1.82932	+	0.757728i	−0.860724	+	0.509071i	$0.829989\pi$
$439$	−38.3284	+	15.8762i	−1.82932	+	0.757728i	−0.968592	+	0.248656i	$0.920011\pi$
$440$	−34.7360	−	26.4675i	−1.65597	−	1.26179i
$441$	−19.0016	−	5.45416i	−0.904838	−	0.259722i
$442$	2.10940	−	4.80868i	0.100334	−	0.228725i
$443$	17.6360	+	3.50803i	0.837914	+	0.166671i	0.595353	−	0.803465i	$-0.297012\pi$
$443$	17.6360	+	3.50803i	0.837914	+	0.166671i	0.242561	+	0.970136i	$0.422012\pi$
$444$	7.72941	+	17.8859i	0.366821	+	0.848829i
$445$	−32.6725	−	21.8311i	−1.54882	−	1.03489i
$446$	1.22380	+	6.89501i	0.0579485	+	0.326488i
$447$	−7.10297	−	6.34136i	−0.335959	−	0.299936i
$448$	−4.04457	+	3.14724i	−0.191088	+	0.148693i
$449$			16.4492i			0.776285i	0.921599	+	0.388142i	$0.126883\pi$
$449$			16.4492i			0.776285i	−0.921599	+	0.388142i	$0.873117\pi$
$450$	−11.0877	−	37.3137i	−0.522679	−	1.75898i
$451$	−11.3812	+	17.0331i	−0.535918	+	0.802058i
$452$	−9.80251	+	21.1460i	−0.461071	+	0.994624i
$453$	8.98005	+	11.9203i	0.421919	+	0.560063i
$454$	15.7430	+	6.90588i	0.738854	+	0.324109i
$455$	0.565264	−	1.36467i	0.0265000	−	0.0639766i
$456$	−11.4334	−	7.73047i	−0.535419	−	0.362012i
$457$	9.34059	+	22.5502i	0.436934	+	1.05485i	0.977002	+	0.213231i	$0.0683988\pi$
$457$	9.34059	+	22.5502i	0.436934	+	1.05485i	−0.540067	+	0.841622i	$0.681601\pi$
$458$	−12.9385	−	0.267715i	−0.604578	−	0.0125095i
$459$	31.4914	+	0.837358i	1.46989	+	0.0390845i
$460$	−2.79027	−	4.57491i	−0.130097	−	0.213306i
$461$	4.54275	+	22.8379i	0.211577	+	1.06367i	0.929859	+	0.367916i	$0.119929\pi$
$461$	4.54275	+	22.8379i	0.211577	+	1.06367i	−0.718282	+	0.695752i	$0.755071\pi$
$462$	5.21871	−	3.76481i	0.242796	−	0.175155i
$463$	22.4954	−	22.4954i	1.04545	−	1.04545i	0.0465335	−	0.998917i	$-0.485183\pi$
$463$	22.4954	−	22.4954i	1.04545	−	1.04545i	0.998917	−	0.0465335i	$-0.0148174\pi$
$464$	−20.5157	+	2.34058i	−0.952418	+	0.108659i
$465$	2.79992	+	49.4256i	0.129843	+	2.29206i
$466$	−14.0264	+	8.95805i	−0.649759	+	0.414974i
$467$	−1.28076	−	6.43880i	−0.0592664	−	0.297952i	0.939772	−	0.341803i	$-0.111037\pi$
$467$	−1.28076	−	6.43880i	−0.0592664	−	0.297952i	−0.999038	+	0.0438505i	$0.986037\pi$
$468$	1.81707	−	3.19393i	0.0839940	−	0.147639i
$469$	−6.97983	+	4.66377i	−0.322298	+	0.215353i
$470$	7.34768	−	7.04978i	0.338923	−	0.325182i
$471$	−0.964295	+	2.76012i	−0.0444324	+	0.127180i
$472$	−2.54310	−	7.40924i	−0.117056	−	0.341038i
$473$	−11.4104	+	27.5472i	−0.524652	+	1.26662i
$474$	−15.1157	−	5.63440i	−0.694285	−	0.258797i
$475$	−25.3514	−	5.04271i	−1.16320	−	0.231375i
$476$	−5.26057	−	5.71496i	−0.241118	−	0.261945i
$477$	−16.8699	+	32.7332i	−0.772418	+	1.49875i
$478$	14.0682	+	9.82703i	0.643465	+	0.449478i
$479$		−	7.78761i		−	0.355825i	−0.984046	−	0.177912i	$-0.943066\pi$
$479$		−	7.78761i		−	0.355825i	0.984046	−	0.177912i	$-0.0569344\pi$
$480$	−21.9085	+	29.6785i	−0.999982	+	1.35463i
$481$			3.44480i			0.157069i
$482$	8.44218	−	12.0857i	0.384531	−	0.550487i
$483$	0.764490	−	0.197601i	0.0347855	−	0.00899115i
$484$	0.481292	−	11.6253i	0.0218769	−	0.528423i
$485$	−34.0828	−	6.77948i	−1.54762	−	0.307840i
$486$	21.8581	+	2.86755i	0.991504	+	0.130075i
$487$	−10.1660	+	24.5429i	−0.460665	+	1.11214i	0.507460	+	0.861675i	$0.330584\pi$
$487$	−10.1660	+	24.5429i	−0.460665	+	1.11214i	−0.968125	+	0.250468i	$0.919416\pi$
$488$	0.820022	−	13.1953i	0.0371207	−	0.597325i
$489$	33.5689	+	11.7279i	1.51804	+	0.530353i
$490$	24.2912	+	25.3177i	1.09736	+	1.14374i
$491$	17.9204	−	11.9740i	0.808736	−	0.540380i	−0.0810756	−	0.996708i	$-0.525836\pi$
$491$	17.9204	−	11.9740i	0.808736	−	0.540380i	0.889812	+	0.456328i	$0.150836\pi$
$492$	14.5326	+	9.39382i	0.655182	+	0.423506i
$493$	−6.10569	−	30.6954i	−0.274986	−	1.38245i
$494$	−1.31336	−	2.05644i	−0.0590910	−	0.0925238i
$495$	28.8444	−	36.2424i	1.29646	−	1.62897i
$496$	23.1733	−	19.6236i	1.04051	−	0.881126i
$497$	4.87202	−	4.87202i	0.218540	−	0.218540i
$498$	9.22105	−	6.65213i	0.413205	−	0.298089i
$499$	−0.118444	−	0.595456i	−0.00530227	−	0.0266563i	0.978044	−	0.208400i	$-0.0668257\pi$
$499$	−0.118444	−	0.595456i	−0.00530227	−	0.0266563i	−0.983346	+	0.181744i	$0.941826\pi$
$500$	−7.40329	+	30.5532i	−0.331085	+	1.36638i
$501$	−34.3893	−	4.83782i	−1.53640	−	0.216138i
$502$	−0.0410414	+	1.98351i	−0.00183177	+	0.0885284i
$503$	13.7336	+	33.1558i	0.612351	+	1.47834i	0.860411	+	0.509600i	$0.170207\pi$
$503$	13.7336	+	33.1558i	0.612351	+	1.47834i	−0.248061	+	0.968744i	$0.579793\pi$
$504$	−3.24687	−	4.35942i	−0.144627	−	0.194184i
$505$	16.1764	−	39.0533i	0.719841	−	1.73785i
$506$	1.65798	−	3.77962i	0.0737064	−	0.168025i
$507$	−17.4655	+	13.1575i	−0.775672	+	0.584347i
$508$	10.2687	+	28.0161i	0.455599	+	1.24301i
$509$	−9.09088	+	13.6055i	−0.402946	+	0.603052i	−0.976343	−	0.216226i	$-0.930625\pi$
$509$	−9.09088	+	13.6055i	−0.402946	+	0.603052i	0.573397	+	0.819278i	$0.305625\pi$
$510$	−47.5737	−	29.3741i	−2.10660	−	1.30071i
$511$			4.53782i			0.200741i
$512$	22.6263	−	0.229765i	0.999948	−	0.0101543i
$513$	8.45353	−	11.9512i	0.373232	−	0.527659i
$514$	0.217839	−	0.0386643i	0.00960846	−	0.00170541i
$515$	−13.5539	−	9.05643i	−0.597256	−	0.399074i
$516$	23.4133	+	9.28343i	1.03071	+	0.408680i
$517$	7.69208	+	1.53005i	0.338297	+	0.0672915i
$518$	4.66647	+	2.04702i	0.205033	+	0.0899407i
$519$	−9.00293	+	4.34100i	−0.395185	+	0.190549i
$520$	−5.63699	+	3.28001i	−0.247198	+	0.143838i
$521$	11.3968	−	4.72070i	0.499302	−	0.206818i	−0.118796	−	0.992919i	$-0.537903\pi$
$521$	11.3968	−	4.72070i	0.499302	−	0.206818i	0.618098	+	0.786101i	$0.287903\pi$
$522$	−2.02274	−	21.8077i	−0.0885331	−	0.954499i
$523$	13.2078	−	8.82515i	0.577535	−	0.385897i	−0.232221	−	0.972663i	$-0.574599\pi$
$523$	13.2078	−	8.82515i	0.577535	−	0.385897i	0.809756	+	0.586766i	$0.199599\pi$
$524$	11.7433	+	2.84549i	0.513008	+	0.124306i
$525$	−8.77081	−	5.16799i	−0.382790	−	0.225550i
$526$	17.2696	+	3.80815i	0.752992	+	0.166043i
$527$	32.5443	+	32.5443i	1.41765	+	1.41765i
$528$	−28.4024	−	0.743311i	−1.23605	−	0.0323485i
$529$	−15.9053	+	15.9053i	−0.691537	+	0.691537i
$530$	55.0821	−	35.1786i	2.39261	−	1.52806i
$531$	7.91387	−	2.53090i	0.343433	−	0.109832i
$532$	−3.56619	+	0.557130i	−0.154614	+	0.0241547i
$533$	1.69968	+	2.54375i	0.0736212	+	0.110182i
$534$	−25.5488	+	0.917602i	−1.10560	+	0.0397085i
$535$	−12.8258	−	30.9643i	−0.554510	−	1.33871i
$536$	36.9929	+	2.29892i	1.59785	+	0.0992981i
$537$	18.2927	−	8.82033i	0.789389	−	0.380625i
$538$	−18.8321	+	7.34786i	−0.811908	+	0.316789i
$539$	−5.27205	+	26.5044i	−0.227083	+	1.14162i
$540$	−30.9814	−	23.8967i	−1.33323	−	1.02835i
$541$	24.6367	−	36.8714i	1.05921	−	1.58523i	0.278396	−	0.960466i	$-0.410197\pi$
$541$	24.6367	−	36.8714i	1.05921	−	1.58523i	0.780818	−	0.624759i	$-0.214803\pi$
$542$	−9.46650	−	6.61261i	−0.406621	−	0.284036i
$543$	5.25428	+	4.69089i	0.225483	+	0.201305i
$544$	3.18175	+	34.1477i	0.136417	+	1.46407i
$545$	−5.40240			−0.231414
$546$	−0.221192	−	0.935203i	−0.00946615	−	0.0400230i
$547$	−35.0939	−	23.4490i	−1.50051	−	1.00261i	−0.989739	−	0.142887i	$-0.954362\pi$
$547$	−35.0939	−	23.4490i	−1.50051	−	1.00261i	−0.510767	−	0.859719i	$-0.670638\pi$
$548$	−27.3429	+	25.1689i	−1.16803	+	1.07516i
$549$	13.9743	+	1.16496i	0.596408	+	0.0497194i
$550$	−49.5714	+	19.3417i	−2.11373	+	0.824733i
$551$	−13.4361	−	5.56541i	−0.572397	−	0.237094i
$552$	−3.21362	−	1.35179i	−0.136781	−	0.0575361i
$553$	−3.89768	+	1.61447i	−0.165746	+	0.0686543i
$554$	−0.101652	−	0.105948i	−0.00431879	−	0.00450129i
$555$	36.3218	+	5.10969i	1.54178	+	0.216894i
$556$	−5.77663	+	7.91573i	−0.244984	+	0.335702i
$557$	34.4005	−	6.84269i	1.45760	−	0.289934i	0.598243	−	0.801314i	$-0.295866\pi$
$557$	34.4005	−	6.84269i	1.45760	−	0.289934i	0.859355	+	0.511380i	$0.170866\pi$
$558$	20.2906	+	25.0128i	0.858969	+	1.05888i
$559$	3.14867	+	3.14867i	0.133174	+	0.133174i
$560$	1.09355	+	9.58520i	0.0462109	+	0.405049i
$561$	−2.43559	−	42.9944i	−0.102831	−	1.81522i
$562$	−12.8133	−	2.82549i	−0.540498	−	0.119186i
$563$	−8.97841	+	1.78592i	−0.378395	+	0.0752674i	−0.380623	−	0.924730i	$-0.624291\pi$
$563$	−8.97841	+	1.78592i	−0.378395	+	0.0752674i	0.00222865	+	0.999998i	$0.499291\pi$
$564$	1.19346	−	6.51649i	0.0502539	−	0.274394i
$565$	24.3763	+	36.4816i	1.02552	+	1.53479i
$566$	−0.186836	+	9.02969i	−0.00785330	+	0.379546i
$567$	4.69551	−	3.34547i	0.197193	−	0.140496i
$568$	−30.1477	+	4.07288i	−1.26497	+	0.170894i
$569$	−20.7910	−	8.61192i	−0.871604	−	0.361030i	−0.0983693	−	0.995150i	$-0.531363\pi$
$569$	−20.7910	−	8.61192i	−0.871604	−	0.361030i	−0.773235	+	0.634120i	$0.781363\pi$
$570$	−23.6312	+	10.7977i	−0.989802	+	0.452267i
$571$	−4.59637	+	23.1075i	−0.192352	+	0.967020i	0.757146	+	0.653246i	$0.226593\pi$
$571$	−4.59637	+	23.1075i	−0.192352	+	0.967020i	−0.949498	+	0.313774i	$0.898407\pi$
$572$	−4.55728	−	2.11259i	−0.190550	−	0.0883318i
$573$	−2.77477	+	0.717205i	−0.115918	+	0.0299617i
$574$	4.45588	−	0.790876i	0.185985	−	0.0330105i
$575$	−6.52938			−0.272294
$576$	−0.262864	+	23.9986i	−0.0109527	+	0.999940i
$577$	−8.50466			−0.354054			−0.177027	−	0.984206i	$-0.556648\pi$
$577$	−8.50466			−0.354054			−0.177027	+	0.984206i	$0.556648\pi$
$578$	−27.5092	+	4.88263i	−1.14423	+	0.203091i
$579$	23.7008	−	6.12604i	0.984972	−	0.254590i
$580$	−16.3481	+	35.2661i	−0.678817	+	1.46435i
$581$	0.580112	−	2.91642i	0.0240671	−	0.120993i
$582$	−20.5637	+	9.39610i	−0.852393	+	0.389481i
$583$	46.5067	+	19.2637i	1.92611	+	0.797821i
$584$	12.1431	−	15.9366i	0.502484	−	0.659460i
$585$	−3.35201	−	6.05102i	−0.138588	−	0.250179i
$586$	−0.825102	+	39.8768i	−0.0340846	+	1.64729i
$587$	−14.4356	−	21.6044i	−0.595821	−	0.891709i	0.403912	−	0.914798i	$-0.367650\pi$
$587$	−14.4356	−	21.6044i	−0.595821	−	0.891709i	−0.999733	+	0.0230883i	$0.992650\pi$
$588$	22.4537	+	4.11228i	0.925974	+	0.169588i
$589$	20.9760	−	4.17239i	0.864301	−	0.171920i
$590$	−14.4005	−	3.17548i	−0.592861	−	0.130732i
$591$	1.67972	+	29.6513i	0.0690944	+	1.21969i
$592$	−10.9106	−	19.6764i	−0.448424	−	0.808693i
$593$	1.81723	+	1.81723i	0.0746249	+	0.0746249i	0.743434	−	0.668809i	$-0.233196\pi$
$593$	1.81723	+	1.81723i	0.0746249	+	0.0746249i	−0.668809	+	0.743434i	$0.733196\pi$
$594$	1.42404	−	30.1019i	0.0584291	−	1.23510i
$595$	−14.3413	+	2.85265i	−0.587934	+	0.116947i
$596$	8.88138	+	6.48133i	0.363795	+	0.265486i
$597$	−42.8733	−	6.03133i	−1.75469	−	0.246846i
$598$	−0.426732	−	0.444765i	−0.0174504	−	0.0181878i
$599$	−30.2588	+	12.5336i	−1.23634	+	0.512109i	−0.902569	−	0.430545i	$-0.858321\pi$
$599$	−30.2588	+	12.5336i	−1.23634	+	0.512109i	−0.333771	+	0.942654i	$0.608321\pi$
$600$	16.9732	+	41.6202i	0.692928	+	1.69914i
$601$	−16.3190	−	6.75955i	−0.665665	−	0.275728i	0.0241549	−	0.999708i	$-0.492311\pi$
$601$	−16.3190	−	6.75955i	−0.665665	−	0.275728i	−0.689820	+	0.723981i	$0.742311\pi$
$602$	6.13636	−	2.39428i	0.250100	−	0.0975834i
$603$	−3.26595	+	39.1767i	−0.133000	+	1.59540i
$604$	−11.6711	−	12.6792i	−0.474892	−	0.515911i
$605$	−18.2119	−	12.1688i	−0.740417	−	0.494731i
$606$	−6.32996	−	26.7631i	−0.257137	−	1.08718i
$607$	11.8146			0.479541			0.239770	−	0.970830i	$-0.422928\pi$
$607$	11.8146			0.479541			0.239770	+	0.970830i	$0.422928\pi$
$608$	14.0151	+	7.58642i	0.568389	+	0.307670i
$609$	−4.27271	−	3.81457i	−0.173139	−	0.154574i
$610$	−20.4031	−	14.2521i	−0.826097	−	0.577051i
$611$	0.650712	−	0.973859i	0.0263250	−	0.0393981i
$612$	−36.2823	+	2.60957i	−1.46663	+	0.105486i
$613$	−6.25551	+	31.4486i	−0.252658	+	1.27020i	0.621060	+	0.783763i	$0.286702\pi$
$613$	−6.25551	+	31.4486i	−0.252658	+	1.27020i	−0.873718	+	0.486434i	$0.838298\pi$
$614$	20.6608	−	8.06141i	0.833803	−	0.325332i
$615$	29.3423	−	14.1482i	1.18320	−	0.570510i
$616$	−5.56990	+	4.91812i	−0.224418	+	0.198157i
$617$	8.39461	+	20.2664i	0.337954	+	0.815893i	0.997912	+	0.0645907i	$0.0205742\pi$
$617$	8.39461	+	20.2664i	0.337954	+	0.815893i	−0.659958	+	0.751303i	$0.729426\pi$
$618$	−10.5987	+	0.380659i	−0.426342	+	0.0153124i
$619$	0.855126	+	1.27979i	0.0343704	+	0.0514389i	0.848257	−	0.529585i	$-0.177652\pi$
$619$	0.855126	+	1.27979i	0.0343704	+	0.0514389i	−0.813887	+	0.581024i	$0.802652\pi$
$620$	−8.82334	−	56.4782i	−0.354354	−	2.26822i
$621$	1.50541	−	3.37754i	0.0604101	−	0.135536i
$622$	−0.417115	+	0.266393i	−0.0167248	+	0.0106814i
$623$	−4.72767	+	4.72767i	−0.189410	+	0.189410i
$624$	−1.72576	+	3.87629i	−0.0690858	+	0.155176i
$625$	9.40835	+	9.40835i	0.376334	+	0.376334i
$626$	−30.8863	−	6.81078i	−1.23447	−	0.272214i
$627$	−17.2406	−	10.1586i	−0.688522	−	0.405696i
$628$	0.795031	−	3.28107i	0.0317252	−	0.130929i
$629$	28.3538	−	18.9454i	1.13054	−	0.755404i
$630$	−10.1889	+	0.945052i	−0.405934	+	0.0376518i
$631$	−11.1660	+	4.62512i	−0.444513	+	0.184123i	−0.593701	−	0.804686i	$-0.702334\pi$
$631$	−11.1660	+	4.62512i	−0.444513	+	0.184123i	0.149188	+	0.988809i	$0.452334\pi$
$632$	18.0087	+	4.76015i	0.716348	+	0.189348i
$633$	−4.85545	+	2.34119i	−0.192987	+	0.0930538i
$634$	15.7250	+	6.89801i	0.624521	+	0.273955i
$635$	55.0916	+	10.9584i	2.18624	+	0.434871i
$636$	15.6728	−	39.5277i	0.621467	−	1.56738i
$637$	3.35560	+	2.24214i	0.132954	+	0.0888367i
$638$	−29.4779	+	5.23205i	−1.16704	+	0.207139i
$639$	−3.64409	−	32.0605i	−0.144158	−	1.26829i
$640$	21.8092	−	36.5890i	0.862086	−	1.44631i
$641$			12.5715i			0.496546i	0.968690	+	0.248273i	$0.0798630\pi$
$641$			12.5715i			0.496546i	−0.968690	+	0.248273i	$0.920137\pi$
$642$	−18.5535	−	11.4558i	−0.732249	−	0.452124i
$643$	−12.6405	+	18.9178i	−0.498491	+	0.746044i	−0.992344	−	0.123501i	$-0.960588\pi$
$643$	−12.6405	+	18.9178i	−0.498491	+	0.746044i	0.493854	+	0.869545i	$0.335588\pi$
$644$	−0.856076	+	0.313776i	−0.0337341	+	0.0123645i
$645$	37.8699	−	28.5290i	1.49113	−	1.12333i
$646$	−9.70328	+	22.1200i	−0.381770	+	0.870302i
$647$	−3.43715	+	8.29800i	−0.135128	+	0.326228i	−0.976930	−	0.213558i	$-0.931495\pi$
$647$	−3.43715	+	8.29800i	−0.135128	+	0.326228i	0.841802	+	0.539786i	$0.181495\pi$
$648$	−25.4428	−	0.815979i	−0.999486	−	0.0320547i
$649$	−4.34645	−	10.4933i	−0.170613	−	0.411896i
$650$	−0.164391	+	7.94492i	−0.00644793	+	0.311625i
$651$	8.34102	+	1.17340i	0.326910	+	0.0459891i
$652$	−39.9048	−	9.66926i	−1.56279	−	0.378677i
$653$	7.56188	+	38.0161i	0.295919	+	1.48769i	0.787207	+	0.616689i	$0.211526\pi$
$653$	7.56188	+	38.0161i	0.295919	+	1.48769i	−0.491288	+	0.870997i	$0.663474\pi$
$654$	−2.85048	+	2.05636i	−0.111463	+	0.0804099i
$655$	16.0840	−	16.0840i	0.628455	−	0.628455i
$656$	−17.7652	−	9.14629i	−0.693613	−	0.357103i
$657$	16.6277	+	13.2336i	0.648708	+	0.516291i
$658$	−0.932556	−	1.46018i	−0.0363548	−	0.0569238i
$659$	−2.99668	−	15.0653i	−0.116734	−	0.586863i	−0.994229	−	0.107277i	$-0.965787\pi$
$659$	−2.99668	−	15.0653i	−0.116734	−	0.586863i	0.877495	−	0.479586i	$-0.159213\pi$
$660$	−29.0349	+	44.9183i	−1.13018	+	1.74844i
$661$	−1.42509	+	0.952213i	−0.0554295	+	0.0370368i	−0.582976	−	0.812489i	$-0.698112\pi$
$661$	−1.42509	+	0.952213i	−0.0554295	+	0.0370368i	0.527547	+	0.849526i	$0.323112\pi$
$662$	−13.1969	−	13.7545i	−0.512911	−	0.534585i
$663$	−6.07127	−	2.12110i	−0.235789	−	0.0823767i
$664$	−9.84157	+	8.68994i	−0.381927	+	0.337235i
$665$	−2.60023	+	6.27751i	−0.100833	+	0.243431i
$666$	21.1095	−	11.1294i	0.817977	−	0.431256i
$667$	−3.60309	−	0.716699i	−0.139512	−	0.0277507i
$668$	40.0660	+	1.65875i	1.55020	+	0.0641788i
$669$	8.30371	−	2.14629i	0.321040	−	0.0829805i
$670$	39.9556	−	57.1997i	1.54362	−	2.20982i
$671$		−	19.1688i		−	0.740003i
$672$	4.22548	+	4.64122i	0.163001	+	0.179039i
$673$		−	22.2717i		−	0.858513i	−0.903183	−	0.429256i	$-0.858776\pi$
$673$		−	22.2717i		−	0.858513i	0.903183	−	0.429256i	$-0.141224\pi$
$674$	6.99738	+	4.88786i	0.269529	+	0.188273i
$675$	−44.5150	+	17.0671i	−1.71338	+	0.656912i
$676$	18.5776	−	17.1005i	0.714523	−	0.657712i
$677$	−19.1234	−	3.80387i	−0.734970	−	0.146195i	−0.186607	−	0.982435i	$-0.559749\pi$
$677$	−19.1234	−	3.80387i	−0.734970	−	0.146195i	−0.548364	+	0.836240i	$0.684749\pi$
$678$	26.7480	+	9.97038i	1.02725	+	0.382910i
$679$	−2.26270	+	5.46264i	−0.0868345	+	0.209637i
$680$	57.9993	+	28.3585i	2.22417	+	1.08750i
$681$	6.94420	−	19.8765i	0.266102	−	0.761670i
$682$	31.7695	−	30.4814i	1.21652	−	1.16719i
$683$	−28.0407	+	18.7362i	−1.07295	+	0.716922i	−0.960932	−	0.276785i	$-0.910731\pi$
$683$	−28.0407	+	18.7362i	−1.07295	+	0.716922i	−0.112017	+	0.993706i	$0.535731\pi$
$684$	−8.35856	+	14.6922i	−0.319598	+	0.561769i
$685$	13.6484	+	68.6151i	0.521478	+	2.62165i
$686$	10.3759	−	6.62667i	0.396155	−	0.253007i
$687$	0.896439	+	15.8244i	0.0342013	+	0.603739i
$688$	−27.9576	−	8.01218i	−1.06587	−	0.305461i
$689$	5.31575	−	5.31575i	0.202514	−	0.202514i
$690$	−5.32256	+	3.83973i	−0.202626	+	0.146176i
$691$	3.94195	+	19.8175i	0.149959	+	0.753894i	0.980435	+	0.196841i	$0.0630682\pi$
$691$	3.94195	+	19.8175i	0.149959	+	0.753894i	−0.830477	+	0.557054i	$0.811932\pi$
$692$	9.85306	−	6.00944i	0.374557	−	0.228445i
$693$	−5.09061	−	6.01655i	−0.193376	−	0.228550i
$694$	14.5518	+	0.301096i	0.552380	+	0.0114295i
$695$	7.05944	+	17.0430i	0.267780	+	0.646478i
$696$	4.79783	+	24.8302i	0.181861	+	0.941187i
$697$	11.5896	−	27.9798i	0.438988	−	1.05981i
$698$	6.46836	+	2.83744i	0.244831	+	0.107399i
$699$	12.2648	+	16.2805i	0.463897	+	0.615784i
$700$	10.6648	+	4.94383i	0.403093	+	0.186859i
$701$	5.82522	−	8.71806i	0.220015	−	0.329276i	−0.704999	−	0.709208i	$-0.749053\pi$
$701$	5.82522	−	8.71806i	0.220015	−	0.329276i	0.925014	+	0.379932i	$0.124053\pi$
$702$	−4.07187	−	1.91682i	−0.153683	−	0.0723456i
$703$		−	15.8462i		−	0.597650i
$704$	32.7219	−	2.36728i	1.23325	−	0.0892201i
$705$	−9.30314	−	8.30562i	−0.350376	−	0.312808i
$706$	−0.498167	−	2.80672i	−0.0187488	−	0.105632i
$707$	−5.98020	−	3.99584i	−0.224908	−	0.150279i
$708$	−8.80690	+	3.80590i	−0.330983	+	0.143034i
$709$	38.0165	+	7.56196i	1.42774	+	0.283995i	0.847650	−	0.530556i	$-0.178017\pi$
$709$	38.0165	+	7.56196i	1.42774	+	0.283995i	0.580091	+	0.814551i	$0.303017\pi$
$710$	−23.0054	+	52.4441i	−0.863377	+	1.96819i
$711$	−5.45092	+	18.9903i	−0.204425	+	0.712192i
$712$	29.2544	−	3.95220i	1.09636	−	0.148115i
$713$	4.99123	−	2.06744i	0.186923	−	0.0774261i
$714$	−6.48109	+	6.96397i	−0.242549	+	0.260620i
$715$	−7.86235	+	5.25345i	−0.294035	+	0.196468i
$716$	−20.0201	+	12.2104i	−0.748185	+	0.456323i
$717$	10.6695	−	18.1077i	0.398461	−	0.676244i
$718$	2.26963	−	10.2926i	0.0847018	−	0.384115i
$719$	−23.4644	−	23.4644i	−0.875075	−	0.875075i	0.117945	−	0.993020i	$-0.462369\pi$
$719$	−23.4644	−	23.4644i	−0.875075	−	0.875075i	−0.993020	+	0.117945i	$0.962369\pi$
$720$	38.3116	+	23.9461i	1.42779	+	0.892419i
$721$	−1.96124	+	1.96124i	−0.0730402	+	0.0730402i
$722$	−8.42132	−	13.1860i	−0.313409	−	0.490731i
$723$	−15.5559	−	9.16595i	−0.578530	−	0.340885i
$724$	−6.56982	−	4.79444i	−0.244166	−	0.178184i
$725$	26.3135	+	39.3810i	0.977260	+	1.46257i
$726$	−14.2411	+	0.511477i	−0.528535	+	0.0189827i
$727$	−3.21887	−	7.77104i	−0.119381	−	0.288212i	0.852881	−	0.522106i	$-0.174853\pi$
$727$	−3.21887	−	7.77104i	−0.119381	−	0.288212i	−0.972262	+	0.233893i	$0.924853\pi$
$728$	0.360248	+	1.04957i	0.0133517	+	0.0388996i
$729$	1.43485	−	26.9618i	0.0531425	−	0.998587i
$730$	−13.7097	−	35.1370i	−0.507418	−	1.30048i
$731$	8.59962	−	43.2332i	0.318068	−	1.59904i
$732$	−16.1902	+	0.246303i	−0.598408	+	0.00910363i
$733$	7.80745	−	11.6847i	0.288375	−	0.431583i	−0.658792	−	0.752325i	$-0.728932\pi$
$733$	7.80745	−	11.6847i	0.288375	−	0.431583i	0.947167	+	0.320742i	$0.103932\pi$
$734$	2.88508	−	4.13024i	0.106490	−	0.152450i
$735$	28.6184	−	32.0555i	1.05561	−	1.18239i
$736$	3.84615	+	1.18887i	0.141771	+	0.0438224i
$737$	53.7394			1.97952
$738$	10.0966	−	18.6338i	0.371662	−	0.685921i
$739$	−21.8582	−	14.6052i	−0.804066	−	0.537260i	0.0842761	−	0.996442i	$-0.473142\pi$
$739$	−21.8582	−	14.6052i	−0.804066	−	0.537260i	−0.888342	+	0.459183i	$0.848142\pi$
$740$	−42.3176	−	1.75196i	−1.55563	−	0.0644034i
$741$	−2.38692	+	1.79817i	−0.0876858	+	0.0660575i
$742$	−4.04215	−	10.3598i	−0.148392	−	0.380318i
$743$	−8.64479	−	3.58079i	−0.317146	−	0.131366i	0.218431	−	0.975852i	$-0.429906\pi$
$743$	−8.64479	−	3.58079i	−0.317146	−	0.131366i	−0.535578	+	0.844486i	$0.679906\pi$
$744$	−26.1532	−	26.4413i	−0.958824	−	0.969383i
$745$	19.1221	−	7.92063i	0.700580	−	0.290190i
$746$	34.8111	−	33.3997i	1.27452	−	1.22285i
$747$	−8.99470	−	10.6308i	−0.329099	−	0.388960i
$748$	7.67525	+	49.1293i	0.280635	+	1.79634i
$749$	−5.59303	+	1.11252i	−0.204365	+	0.0406507i
$750$	38.0082	+	6.15127i	1.38786	+	0.224613i
$751$	0.157484	+	0.157484i	0.00574668	+	0.00574668i	0.709974	−	0.704228i	$-0.248707\pi$
$751$	0.157484	+	0.157484i	0.00574668	+	0.00574668i	−0.704228	+	0.709974i	$0.748707\pi$
$752$	−0.632320	+	7.62357i	−0.0230584	+	0.278003i
$753$	2.42592	−	0.137426i	0.0884056	−	0.00500810i
$754$	−0.962792	+	4.36618i	−0.0350628	+	0.159007i
$755$	−31.8176	+	6.32892i	−1.15796	+	0.230333i
$756$	−5.01625	+	4.37690i	−0.182439	+	0.159186i
$757$	25.6932	+	38.4526i	0.933835	+	1.39758i	0.917509	+	0.397716i	$0.130197\pi$
$757$	25.6932	+	38.4526i	0.933835	+	1.39758i	0.0163261	+	0.999867i	$0.494803\pi$
$758$	−1.66130	−	0.0343744i	−0.0603410	−	0.00124853i
$759$	−4.77202	−	1.66718i	−0.173213	−	0.0605149i
$760$	25.9303	−	15.0881i	0.940591	−	0.547304i
$761$	−19.8746	−	8.23233i	−0.720454	−	0.298422i	−0.00783132	−	0.999969i	$-0.502493\pi$
$761$	−19.8746	−	8.23233i	−0.720454	−	0.298422i	−0.712623	+	0.701548i	$0.752493\pi$
$762$	33.2393	−	15.1879i	1.20413	−	0.550200i
$763$	−0.179329	+	0.901545i	−0.00649213	+	0.0326381i
$764$	3.10718	−	1.13887i	0.112414	−	0.0412029i
$765$	−31.3704	+	60.8690i	−1.13420	+	2.20073i
$766$	7.18913	+	40.5043i	0.259754	+	1.46348i
$767$	−1.69619			−0.0612459
$768$	−2.41988	−	27.6070i	−0.0873200	−	0.996180i
$769$	−11.9765			−0.431884			−0.215942	−	0.976406i	$-0.569282\pi$
$769$	−11.9765			−0.431884			−0.215942	+	0.976406i	$0.569282\pi$
$770$	2.44448	+	13.7725i	0.0880930	+	0.496325i
$771$	−0.0678094	−	0.262345i	−0.00244209	−	0.00944813i
$772$	−26.5402	+	9.72771i	−0.955202	+	0.350108i
$773$	2.41992	−	12.1657i	0.0870384	−	0.437571i	−0.912552	−	0.408960i	$-0.865891\pi$
$773$	2.41992	−	12.1657i	0.0870384	−	0.437571i	0.999591	−	0.0286113i	$-0.00910851\pi$
$774$	9.12216	−	29.4675i	0.327889	−	1.05919i
$775$	−64.3497	−	26.6545i	−2.31151	−	0.957459i
$776$	22.5644	−	13.1296i	0.810014	−	0.471324i
$777$	2.05837	−	5.89173i	0.0738437	−	0.211365i
$778$	2.19940	+	0.0455085i	0.0788524	+	0.00163156i
$779$	−7.81857	−	11.7013i	−0.280129	−	0.419243i
$780$	4.53816	+	6.57314i	0.162492	+	0.235356i
$781$	−43.2606	+	8.60508i	−1.54799	+	0.307914i
$782$	−1.31391	+	5.95848i	−0.0469854	+	0.213075i
$783$	−26.4380	+	4.53188i	−0.944816	+	0.161956i
$784$	−26.2683	−	2.17877i	−0.938154	−	0.0778131i
$785$	−4.49388	−	4.49388i	−0.160393	−	0.160393i
$786$	2.36427	−	14.6086i	0.0843307	−	0.521073i
$787$	22.8340	−	4.54196i	0.813943	−	0.161903i	0.229469	−	0.973316i	$-0.426301\pi$
$787$	22.8340	−	4.54196i	0.813943	−	0.161903i	0.584474	+	0.811412i	$0.301301\pi$
$788$	−5.29328	−	33.8823i	−0.188565	−	1.20701i
$789$	3.01724	−	21.4478i	0.107417	−	0.763563i
$790$	25.3026	−	24.2768i	0.900227	−	0.863728i
$791$	6.89716	−	2.85690i	0.245235	−	0.101580i
$792$	1.77780	+	34.7521i	0.0631715	+	1.23486i
$793$	−2.64478	−	1.09550i	−0.0939190	−	0.0389025i
$794$	2.06461	+	5.29144i	0.0732701	+	0.187786i
$795$	−48.1643	−	63.9341i	−1.70821	−	2.26751i
$796$	49.9505	+	2.06796i	1.77045	+	0.0732971i
$797$	−17.7498	−	11.8600i	−0.628729	−	0.420103i	0.199967	−	0.979803i	$-0.435917\pi$
$797$	−17.7498	−	11.8600i	−0.628729	−	0.420103i	−0.828696	+	0.559699i	$0.810917\pi$
$798$	1.01749	+	4.30196i	0.0360188	+	0.152288i
$799$	−11.5945			−0.410183
$800$	−24.2248	−	45.9013i	−0.856476	−	1.62286i
$801$	3.53612	+	31.1106i	0.124943	+	1.09924i
$802$	−2.69105	+	3.85246i	−0.0950242	+	0.136035i
$803$	16.1392	−	24.1539i	0.569538	−	0.852374i
$804$	−0.690507	−	45.3890i	−0.0243523	−	1.60075i
$805$	−0.334851	+	1.68341i	−0.0118019	+	0.0593324i
$806$	−2.38998	−	6.12537i	−0.0841836	−	0.215757i
$807$	10.7530	+	22.3009i	0.378523	+	0.785029i
$808$	10.3094	+	30.0360i	0.362682	+	1.05666i
$809$	−20.0153	−	48.3213i	−0.703701	−	1.69888i	−0.715170	−	0.698950i	$-0.753651\pi$
$809$	−20.0153	−	48.3213i	−0.703701	−	1.69888i	0.0114690	−	0.999934i	$-0.496349\pi$
$810$	−26.2507	+	40.0905i	−0.922355	+	1.40864i
$811$	−22.6169	−	33.8485i	−0.794185	−	1.18858i	−0.978608	−	0.205735i	$-0.934041\pi$
$811$	−22.6169	−	33.8485i	−0.794185	−	1.18858i	0.184422	−	0.982847i	$-0.440959\pi$
$812$	5.34250	+	3.89877i	0.187485	+	0.136820i
$813$	−7.17953	+	12.1847i	−0.251797	+	0.427335i
$814$	−17.5583	−	27.4926i	−0.615420	−	0.963615i
$815$	−54.6551	+	54.6551i	−1.91448	+	1.91448i
$816$	41.3966	−	7.11389i	1.44917	−	0.249036i
$817$	−14.4840	−	14.4840i	−0.506730	−	0.506730i
$818$	−7.73035	+	35.0565i	−0.270285	+	1.22572i
$819$	−1.12105	+	0.358519i	−0.0391728	+	0.0125277i
$820$	−32.1131	+	19.5860i	−1.12144	+	0.683972i
$821$	−19.9468	+	13.3281i	−0.696150	+	0.465152i	−0.852621	−	0.522530i	$-0.824988\pi$
$821$	−19.9468	+	13.3281i	−0.696150	+	0.465152i	0.156471	+	0.987683i	$0.449988\pi$
$822$	33.3188	+	31.0085i	1.16213	+	1.08154i
$823$	−12.9184	+	5.35098i	−0.450308	+	0.186523i	−0.596299	−	0.802762i	$-0.703363\pi$
$823$	−12.9184	+	5.35098i	−0.450308	+	0.186523i	0.145992	+	0.989286i	$0.453363\pi$
$824$	12.1360	−	1.63954i	0.422776	−	0.0571160i
$825$	28.3049	+	58.7024i	0.985452	+	2.04376i
$826$	−1.00793	+	2.29773i	−0.0350705	+	0.0799484i
$827$	−51.2537	−	10.1950i	−1.78227	−	0.354515i	−0.809647	−	0.586917i	$-0.800341\pi$
$827$	−51.2537	−	10.1950i	−1.78227	−	0.354515i	−0.972620	+	0.232402i	$0.925341\pi$
$828$	−1.34681	+	4.05193i	−0.0468049	+	0.140814i
$829$	−2.28524	−	1.52695i	−0.0793697	−	0.0530331i	0.515252	−	0.857039i	$-0.327698\pi$
$829$	−2.28524	−	1.52695i	−0.0793697	−	0.0530331i	−0.594622	+	0.804005i	$0.702698\pi$
$830$	4.31921	+	24.3349i	0.149922	+	0.844675i
$831$	−0.119760	+	0.134144i	−0.00415444	+	0.00465340i
$832$	1.54345	−	4.65004i	0.0535095	−	0.161211i
$833$		−	39.9508i		−	1.38421i
$834$	10.2120	+	6.30535i	0.353613	+	0.218336i
$835$	41.9390	−	62.7662i	1.45136	−	2.17211i
$836$	20.9636	+	9.71797i	0.725043	+	0.336103i
$837$	28.6244	−	27.1416i	0.989404	−	0.938151i
$838$	−34.5410	−	15.1519i	−1.19320	−	0.523414i
$839$	−2.65703	+	6.41464i	−0.0917309	+	0.221458i	−0.963085	−	0.269196i	$-0.913242\pi$
$839$	−2.65703	+	6.41464i	−0.0917309	+	0.221458i	0.871355	+	0.490654i	$0.163242\pi$
$840$	11.6010	−	2.24161i	0.400272	−	0.0773428i
$841$	−0.899956	−	2.17269i	−0.0310330	−	0.0749202i
$842$	13.7155	+	0.283791i	0.472667	+	0.00978010i
$843$	−2.23867	+	15.9134i	−0.0771038	+	0.548086i
$844$	5.31394	−	3.24101i	0.182913	−	0.111560i
$845$	−9.27311	−	46.6191i	−0.319005	−	1.60375i
$846$	−8.07006	−	0.841189i	−0.277455	−	0.0289207i
$847$	−2.63524	+	2.63524i	−0.0905478	+	0.0905478i
$848$	−13.5266	+	47.1996i	−0.464506	+	1.62084i
$849$	11.0437	−	0.625617i	0.379020	−	0.0214711i
$850$	66.2981	−	42.3418i	2.27401	−	1.45231i
$851$	−0.780915	−	3.92592i	−0.0267694	−	0.134579i
$852$	7.82382	+	36.4279i	0.268040	+	1.24800i
$853$	22.7002	−	15.1678i	0.777241	−	0.519336i	−0.102532	−	0.994730i	$-0.532694\pi$
$853$	22.7002	−	15.1678i	0.777241	−	0.519336i	0.879773	+	0.475394i	$0.157694\pi$
$854$	−3.05564	+	2.93175i	−0.104562	+	0.100322i
$855$	15.4193	+	27.8349i	0.527330	+	0.951933i
$856$	22.6195	+	11.0597i	0.773118	+	0.378012i
$857$	4.63339	−	11.1860i	0.158273	−	0.382106i	−0.824773	−	0.565464i	$-0.808697\pi$
$857$	4.63339	−	11.1860i	0.158273	−	0.382106i	0.983046	+	0.183359i	$0.0586969\pi$
$858$	−2.14877	+	5.76460i	−0.0733578	+	0.196800i
$859$	54.7271	+	10.8859i	1.86727	+	0.371422i	0.993396	−	0.114738i	$-0.0366028\pi$
$859$	54.7271	+	10.8859i	1.86727	+	0.371422i	0.873870	+	0.486160i	$0.161603\pi$
$860$	−40.2811	+	37.0784i	−1.37357	+	1.26436i
$861$	−1.38704	−	5.36625i	−0.0472700	−	0.182881i
$862$	18.1344	+	12.6674i	0.617661	+	0.431453i
$863$			25.9772i			0.884276i	0.896947	+	0.442138i	$0.145780\pi$
$863$			25.9772i			0.884276i	−0.896947	+	0.442138i	$0.854220\pi$
$864$	29.3293	−	1.94809i	0.997801	−	0.0662755i
$865$		−	21.7259i		−	0.738702i
$866$	−29.4837	+	42.2084i	−1.00190	+	1.43430i
$867$	8.56314	+	33.1296i	0.290819	+	1.12514i
$868$	−9.71789	−	0.402324i	−0.329847	−	0.0136558i
$869$	26.4886	+	5.26891i	0.898564	+	0.178736i
$870$	44.6088	+	16.6280i	1.51238	+	0.563743i
$871$	3.07123	−	7.41460i	0.104065	−	0.251234i
$872$	3.04230	−	2.68630i	0.103025	−	0.0909696i
$873$	13.4178	+	24.2217i	0.454123	+	0.819781i
$874$	1.96298	+	2.04593i	0.0663988	+	0.0692046i
$875$	8.37241	−	5.59427i	0.283039	−	0.189121i
$876$	−20.6081	−	13.3210i	−0.696284	−	0.450074i
$877$	−4.24664	−	21.3493i	−0.143399	−	0.720915i	−0.983845	−	0.179021i	$-0.942707\pi$
$877$	−4.24664	−	21.3493i	−0.143399	−	0.720915i	0.840446	−	0.541895i	$-0.182293\pi$
$878$	−31.5795	−	49.4467i	−1.06576	−	1.66875i
$879$	48.7711	−	2.76284i	1.64501	−	0.0931882i
$880$	28.2698	−	54.9095i	0.952976	−	1.85100i
$881$	−20.5971	+	20.5971i	−0.693934	+	0.693934i	−0.963095	−	0.269161i	$-0.913254\pi$
$881$	−20.5971	+	20.5971i	−0.693934	+	0.693934i	0.269161	+	0.963095i	$0.413254\pi$
$882$	2.89846	−	27.8068i	0.0975962	−	0.936303i
$883$	1.56217	+	7.85354i	0.0525711	+	0.264293i	0.998128	−	0.0611651i	$-0.0194816\pi$
$883$	1.56217	+	7.85354i	0.0525711	+	0.264293i	−0.945557	+	0.325458i	$0.894482\pi$
$884$	7.21717	+	1.74878i	0.242740	+	0.0588178i
$885$	−2.51597	+	17.8846i	−0.0845734	+	0.601184i
$886$	−0.526062	+	25.4243i	−0.0176734	+	0.854147i
$887$	10.0101	+	24.1666i	0.336107	+	0.811434i	0.998082	+	0.0619079i	$0.0197185\pi$
$887$	10.0101	+	24.1666i	0.336107	+	0.811434i	−0.661975	+	0.749526i	$0.730281\pi$
$888$	−22.9950	+	15.1833i	−0.771661	+	0.509517i
$889$	3.65744	−	8.82985i	0.122667	−	0.296144i
$890$	22.3238	−	50.8903i	0.748294	−	1.70585i
$891$	−36.8918	+	1.10726i	−1.23592	+	0.0370947i
$892$	−9.29850	+	3.40816i	−0.311337	+	0.114114i
$893$	−2.99329	+	4.47978i	−0.100167	+	0.149910i
$894$	7.07455	−	11.4578i	0.236608	−	0.383205i
$895$			44.1440i			1.47557i
$896$	−5.38198	−	4.85404i	−0.179799	−	0.162162i
$897$	−0.502750	+	0.563131i	−0.0167863	+	0.0188024i
$898$	−22.9047	+	4.06536i	−0.764339	+	0.135663i
$899$	−32.5842	−	21.7721i	−1.08674	−	0.726139i
$900$	49.2171	−	24.6610i	1.64057	−	0.822034i
$901$	−72.9887	−	14.5184i	−2.43161	−	0.483677i
$902$	−26.5306	−	11.6380i	−0.883372	−	0.387504i
$903$	−3.50382	−	7.26667i	−0.116600	−	0.241820i
$904$	−31.8674	−	8.42334i	−1.05989	−	0.280156i
$905$	−14.1452	+	5.85913i	−0.470202	+	0.194764i
$906$	−14.3790	+	15.4503i	−0.477710	+	0.513303i
$907$	−46.0536	+	30.7720i	−1.52919	+	1.02177i	−0.546292	+	0.837595i	$0.683961\pi$
$907$	−46.0536	+	30.7720i	−1.52919	+	1.02177i	−0.982894	+	0.184174i	$0.941039\pi$
$908$	−5.72527	+	23.6281i	−0.190000	+	0.784125i
$909$	−32.0817	+	10.2599i	−1.06408	+	0.340300i
$910$	2.03994	+	0.449829i	0.0676232	+	0.0149117i
$911$	21.6915	+	21.6915i	0.718671	+	0.718671i	0.968333	−	0.249662i	$-0.0803196\pi$
$911$	21.6915	+	21.6915i	0.718671	+	0.718671i	−0.249662	+	0.968333i	$0.580320\pi$
$912$	7.93856	−	17.8310i	0.262872	−	0.590445i
$913$	−13.4603	+	13.4603i	−0.445472	+	0.445472i
$914$	−29.0915	+	18.5795i	−0.962262	+	0.614556i
$915$	−15.4740	+	26.2615i	−0.511554	+	0.868180i
$916$	−2.82494	−	18.0824i	−0.0933385	−	0.597460i
$917$	−2.15018	−	3.21798i	−0.0710053	−	0.106267i
$918$	6.61703	+	44.0572i	0.218394	+	1.45410i
$919$	5.47979	+	13.2294i	0.180762	+	0.436397i	0.988124	−	0.153659i	$-0.0491057\pi$
$919$	5.47979	+	13.2294i	0.180762	+	0.436397i	−0.807362	+	0.590056i	$0.799106\pi$
$920$	5.68073	−	5.01599i	0.187288	−	0.165372i
$921$	−11.7972	−	24.4665i	−0.388731	−	0.806199i
$922$	−30.6780	+	11.9699i	−1.01032	+	0.394207i
$923$	−1.28509	+	6.46060i	−0.0422993	+	0.212653i
$924$	6.53210	+	6.33633i	0.214890	+	0.208450i
$925$	−28.6712	+	42.9095i	−0.942703	+	1.41085i
$926$	36.8834	+	25.7641i	1.21206	+	0.846660i
$927$	1.46693	+	12.9060i	0.0481803	+	0.423888i
$928$	−8.32954	−	27.9886i	−0.273431	−	0.918772i
$929$	20.5952			0.675708			0.337854	−	0.941199i	$-0.390299\pi$
$929$	20.5952			0.675708			0.337854	+	0.941199i	$0.390299\pi$
$930$	−68.1308	+	16.1141i	−2.23410	+	0.528403i
$931$	−15.4358	−	10.3139i	−0.505889	−	0.338024i
$932$	−15.9402	−	17.3171i	−0.522139	−	0.567240i
$933$	0.364729	+	0.484147i	0.0119407	+	0.0158503i
$934$	8.64918	−	3.37472i	0.283010	−	0.110424i
$935$	86.4815	+	35.8218i	2.82825	+	1.17150i
$936$	4.89647	+	1.74081i	0.160046	+	0.0569001i
$937$	−5.75766	+	2.38490i	−0.188095	+	0.0779114i	−0.474743	−	0.880125i	$-0.657459\pi$
$937$	−5.75766	+	2.38490i	−0.188095	+	0.0779114i	0.286648	+	0.958036i	$0.407459\pi$
$938$	−8.21911	−	8.56643i	−0.268364	−	0.279704i
$939$	−5.39626	+	38.3589i	−0.176100	+	1.25180i
$940$	11.6324	+	8.48895i	0.379408	+	0.276879i
$941$	−4.94863	+	0.984344i	−0.161321	+	0.0320887i	−0.275090	−	0.961419i	$-0.588708\pi$
$941$	−4.94863	+	0.984344i	−0.161321	+	0.0320887i	0.113769	+	0.993507i	$0.463708\pi$
$942$	−4.08166	−	0.660577i	−0.132988	−	0.0215228i
$943$	−2.51372	−	2.51372i	−0.0818580	−	0.0818580i
$944$	9.68848	−	5.37231i	0.315333	−	0.174854i
$945$	2.11735	+	12.3522i	0.0688775	+	0.401815i
$946$	−41.1781	−	9.08024i	−1.33882	−	0.295224i
$947$	18.9979	−	3.77892i	0.617349	−	0.122798i	0.123498	−	0.992345i	$-0.460589\pi$
$947$	18.9979	−	3.77892i	0.617349	−	0.122798i	0.493851	+	0.869547i	$0.335589\pi$
$948$	4.10984	−	22.4403i	0.133481	−	0.728828i
$949$	−2.41024	−	3.60718i	−0.0782397	−	0.117094i
$950$	0.756202	−	36.5469i	0.0245344	−	1.18574i
$951$	6.93629	−	19.8539i	0.224924	−	0.643806i
$952$	6.65766	−	8.73751i	0.215776	−	0.283184i
$953$	21.8866	+	9.06573i	0.708976	+	0.293668i	0.707881	−	0.706332i	$-0.249651\pi$
$953$	21.8866	+	9.06573i	0.708976	+	0.293668i	0.00109546	+	0.999999i	$0.499651\pi$
$954$	−49.7487	−	15.4005i	−1.61067	−	0.498611i
$955$	1.21536	−	6.11005i	0.0393282	−	0.197716i
$956$	−10.2067	+	22.0180i	−0.330110	+	0.712113i
$957$	9.17596	+	35.5005i	0.296617	+	1.14757i
$958$	10.8439	−	1.92468i	0.350349	−	0.0621837i
$959$	11.9034			0.384382
$960$	−46.7405	−	23.1715i	−1.50854	−	0.747858i
$961$	26.6305			0.859047
$962$	−4.79671	+	0.851371i	−0.154652	+	0.0274493i
$963$	−12.2343	+	23.7387i	−0.394245	+	0.764968i
$964$	18.9152	+	8.76838i	0.609216	+	0.282410i
$965$	−10.3811	+	52.1893i	−0.334179	+	1.68003i
$966$	0.464091	+	1.01568i	0.0149319	+	0.0326789i
$967$	9.80587	+	4.06173i	0.315336	+	0.130616i	0.534737	−	0.845018i	$-0.320411\pi$
$967$	9.80587	+	4.06173i	0.315336	+	0.130616i	−0.219402	+	0.975635i	$0.570411\pi$
$968$	16.3066	−	2.20298i	0.524115	−	0.0708066i
$969$	27.9280	+	9.75712i	0.897177	+	0.313444i
$970$	1.01665	−	49.1341i	0.0326426	−	1.57760i
$971$	22.6700	+	33.9280i	0.727513	+	1.08880i	0.992223	+	0.124473i	$0.0397239\pi$
$971$	22.6700	+	33.9280i	0.727513	+	1.08880i	−0.264710	+	0.964328i	$0.585276\pi$
$972$	1.40924	+	31.1450i	0.0452013	+	0.998978i
$973$	3.07845	−	0.612341i	0.0986904	−	0.0196307i
$974$	−36.6872	−	8.08994i	−1.17553	−	0.259218i
$975$	9.71701	−	0.550459i	0.311193	−	0.0176288i
$976$	18.5765	−	2.11934i	0.594620	−	0.0678386i
$977$	−33.4334	−	33.4334i	−1.06963	−	1.06963i	−0.997387	−	0.0722429i	$-0.976984\pi$
$977$	−33.4334	−	33.4334i	−1.06963	−	1.06963i	−0.0722429	−	0.997387i	$-0.523016\pi$
$978$	−8.03402	+	49.6416i	−0.256900	+	1.58736i
$979$	41.9789	−	8.35012i	1.34165	−	0.266871i
$980$	−29.2501	+	40.0815i	−0.934361	+	1.28036i
$981$	2.78051	+	3.28627i	0.0887749	+	0.104922i
$982$	21.1022	+	21.9939i	0.673398	+	0.701854i
$983$	13.9014	−	5.75815i	0.443386	−	0.183656i	−0.149810	−	0.988715i	$-0.547866\pi$
$983$	13.9014	−	5.75815i	0.443386	−	0.183656i	0.593196	+	0.805058i	$0.297866\pi$
$984$	−9.48874	+	22.5576i	−0.302490	+	0.719111i
$985$	−59.6425	−	24.7047i	−1.90037	−	0.787158i
$986$	41.2328	−	16.0881i	1.31312	−	0.512350i
$987$	−1.69484	+	1.27680i	−0.0539473	+	0.0406409i
$988$	2.53890	−	2.33704i	0.0807732	−	0.0743510i
$989$	−4.30222	−	2.87465i	−0.136803	−	0.0914085i
$990$	57.5945	+	31.2072i	1.83047	+	0.991831i
$991$	4.56646			0.145058			0.0725292	−	0.997366i	$-0.476893\pi$
$991$	4.56646			0.145058			0.0725292	+	0.997366i	$0.476893\pi$
$992$	33.0521	+	27.4178i	1.04941	+	0.870515i
$993$	−15.5477	+	17.4150i	−0.493393	+	0.552650i
$994$	7.98816	+	5.57995i	0.253369	+	0.176985i
$995$	52.2855	−	78.2508i	1.65756	−	2.48072i
$996$	11.5417	+	11.1958i	0.365713	+	0.354753i
$997$	−0.168385	+	0.846526i	−0.00533279	+	0.0268098i	−0.983360	−	0.181667i	$-0.941851\pi$
$997$	−0.168385	+	0.846526i	−0.00533279	+	0.0268098i	0.978027	+	0.208477i	$0.0668506\pi$
$998$	0.799871	−	0.312092i	0.0253195	−	0.00987910i
$999$	−15.5859	−	24.7243i	−0.493117	−	0.782243i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.59.17	yes	240
3.2	odd	2	inner	192.2.s.a.59.14	✓	240
4.3	odd	2		768.2.s.a.143.2		240
12.11	even	2		768.2.s.a.143.17		240
64.13	even	16		768.2.s.a.623.17		240
64.51	odd	16	inner	192.2.s.a.179.14	yes	240
192.77	odd	16		768.2.s.a.623.2		240
192.179	even	16	inner	192.2.s.a.179.17	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.14	✓	240	3.2	odd	2	inner
192.2.s.a.59.17	yes	240	1.1	even	1	trivial
192.2.s.a.179.14	yes	240	64.51	odd	16	inner
192.2.s.a.179.17	yes	240	192.179	even	16	inner
768.2.s.a.143.2		240	4.3	odd	2
768.2.s.a.143.17		240	12.11	even	2
768.2.s.a.623.2		240	192.77	odd	16
768.2.s.a.623.17		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)

\(f(q)\)	\(=\)	\(q+(0.247147 + 1.39245i) q^{2} +(1.67694 - 0.433445i) q^{3} +(-1.87784 + 0.688279i) q^{4} +(-0.734509 + 3.69263i) q^{5} +(1.01800 + 2.22793i) q^{6} +(0.591839 + 0.245148i) q^{7} +(-1.42250 - 2.44469i) q^{8} +(2.62425 - 1.45372i) q^{9} +O(q^{10})\)	\(q+(0.247147 + 1.39245i) q^{2} +(1.67694 - 0.433445i) q^{3} +(-1.87784 + 0.688279i) q^{4} +(-0.734509 + 3.69263i) q^{5} +(1.01800 + 2.22793i) q^{6} +(0.591839 + 0.245148i) q^{7} +(-1.42250 - 2.44469i) q^{8} +(2.62425 - 1.45372i) q^{9} +(-5.32333 - 0.110147i) q^{10} +(-2.27836 - 3.40980i) q^{11} +(-2.85069 + 1.96814i) q^{12} +(-0.600670 + 0.119481i) q^{13} +(-0.195085 + 0.884693i) q^{14} +(0.368824 + 6.51068i) q^{15} +(3.05254 - 2.58495i) q^{16} +(4.28696 + 4.28696i) q^{17} +(2.67281 + 3.29486i) q^{18} +(2.76310 - 0.549615i) q^{19} +(-1.16227 - 7.43970i) q^{20} +(1.09874 + 0.154568i) q^{21} +(4.18489 - 4.01522i) q^{22} +(0.657479 - 0.272337i) q^{23} +(-3.44508 - 3.48302i) q^{24} +(-8.47658 - 3.51111i) q^{25} +(-0.314825 - 0.806874i) q^{26} +(3.77060 - 3.57527i) q^{27} +(-1.28011 - 0.0529968i) q^{28} +(-4.29221 - 2.86796i) q^{29} +(-8.97464 + 2.12266i) q^{30} +7.59147 q^{31} +(4.35385 + 3.61165i) q^{32} +(-5.29862 - 4.73048i) q^{33} +(-4.90987 + 7.02888i) q^{34} +(-1.33995 + 2.00538i) q^{35} +(-3.92735 + 4.53607i) q^{36} +(1.09733 - 5.51665i) q^{37} +(1.44820 + 3.71165i) q^{38} +(-0.955499 + 0.460720i) q^{39} +(10.0722 - 3.45710i) q^{40} +(-1.91164 - 4.61510i) q^{41} +(0.0563207 + 1.56814i) q^{42} +(-4.03941 - 6.04541i) q^{43} +(6.62527 + 4.83490i) q^{44} +(3.44052 + 10.7581i) q^{45} +(0.541709 + 0.848200i) q^{46} +(-1.35230 + 1.35230i) q^{47} +(3.99849 - 5.65792i) q^{48} +(-4.65957 - 4.65957i) q^{49} +(2.79409 - 12.6710i) q^{50} +(9.04713 + 5.33080i) q^{51} +(1.04572 - 0.637794i) q^{52} +(-10.2062 + 6.81957i) q^{53} +(5.91028 + 4.36676i) q^{54} +(14.2646 - 5.90858i) q^{55} +(-0.242579 - 1.79558i) q^{56} +(4.39532 - 2.11932i) q^{57} +(2.93269 - 6.68550i) q^{58} +(2.71635 + 0.540317i) q^{59} +(-5.17376 - 11.9721i) q^{60} +(3.88650 + 2.59688i) q^{61} +(1.87621 + 10.5708i) q^{62} +(1.90951 - 0.217040i) q^{63} +(-3.95301 + 6.95512i) q^{64} -2.30581i q^{65} +(5.27743 - 8.54720i) q^{66} +(-7.28030 + 10.8957i) q^{67} +(-11.0008 - 5.09958i) q^{68} +(0.984509 - 0.741673i) q^{69} +(-3.12355 - 1.37019i) q^{70} +(4.11601 - 9.93692i) q^{71} +(-7.28689 - 4.34756i) q^{72} +(2.71081 + 6.54447i) q^{73} +(7.95286 + 0.164555i) q^{74} +(-15.7366 - 2.21379i) q^{75} +(-4.81036 + 2.93387i) q^{76} +(-0.512515 - 2.57658i) q^{77} +(-0.877678 - 1.21662i) q^{78} +(-4.65680 + 4.65680i) q^{79} +(7.30314 + 13.1706i) q^{80} +(4.77338 - 7.62986i) q^{81} +(5.95384 - 3.80246i) q^{82} +(-0.905573 - 4.55262i) q^{83} +(-2.16963 + 0.465984i) q^{84} +(-18.9789 + 12.6813i) q^{85} +(7.41961 - 7.11879i) q^{86} +(-8.44088 - 2.94896i) q^{87} +(-5.09495 + 10.4203i) q^{88} +(-3.99406 + 9.64250i) q^{89} +(-14.1299 + 7.44959i) q^{90} +(-0.384790 - 0.0765396i) q^{91} +(-1.04719 + 0.963933i) q^{92} +(12.7304 - 3.29049i) q^{93} +(-2.21722 - 1.54879i) q^{94} +10.6068i q^{95} +(8.86659 + 4.16937i) q^{96} +9.22995i q^{97} +(5.33662 - 7.63982i) q^{98} +(-10.9359 - 5.63607i) 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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