LMFDB - Embedded newform 192.2.s.a.11.1

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			11.1
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40912 + 0.119909i) q^{2} +(-0.169478 + 1.72374i) q^{3} +(1.97124 - 0.337931i) q^{4} +(2.90474 - 1.94088i) q^{5} +(0.0321240 - 2.44928i) q^{6} +(0.941226 - 2.27232i) q^{7} +(-2.73720 + 0.712555i) q^{8} +(-2.94255 - 0.584272i) q^{9} +O(q^{10})$	\(q+(-1.40912 + 0.119909i) q^{2} +(-0.169478 + 1.72374i) q^{3} +(1.97124 - 0.337931i) q^{4} +(2.90474 - 1.94088i) q^{5} +(0.0321240 - 2.44928i) q^{6} +(0.941226 - 2.27232i) q^{7} +(-2.73720 + 0.712555i) q^{8} +(-2.94255 - 0.584272i) q^{9} +(-3.86040 + 3.08324i) q^{10} +(0.119826 - 0.602407i) q^{11} +(0.248423 + 3.45518i) q^{12} +(3.02031 - 4.52021i) q^{13} +(-1.05383 + 3.31484i) q^{14} +(2.85329 + 5.33595i) q^{15} +(3.77160 - 1.33229i) q^{16} +(2.86344 + 2.86344i) q^{17} +(4.21647 + 0.470472i) q^{18} +(-3.42767 + 5.12986i) q^{19} +(5.07006 - 4.80756i) q^{20} +(3.75737 + 2.00754i) q^{21} +(-0.0966159 + 0.863232i) q^{22} +(2.04839 + 4.94524i) q^{23} +(-0.764364 - 4.83898i) q^{24} +(2.75706 - 6.65612i) q^{25} +(-3.71397 + 6.73169i) q^{26} +(1.50583 - 4.97318i) q^{27} +(1.08750 - 4.79737i) q^{28} +(-6.35008 + 1.26311i) q^{29} +(-4.66045 - 7.17686i) q^{30} -2.22666 q^{31} +(-5.15489 + 2.32960i) q^{32} +(1.01808 + 0.308644i) q^{33} +(-4.37828 - 3.69158i) q^{34} +(-1.67630 - 8.42731i) q^{35} +(-5.99794 - 0.157361i) q^{36} +(-1.95630 + 1.30716i) q^{37} +(4.21488 - 7.63961i) q^{38} +(7.27979 + 5.97230i) q^{39} +(-6.56786 + 7.38237i) q^{40} +(-1.92633 + 0.797913i) q^{41} +(-5.53531 - 2.37832i) q^{42} +(-1.05008 + 5.27910i) q^{43} +(0.0326345 - 1.22798i) q^{44} +(-9.68135 + 4.01400i) q^{45} +(-3.47940 - 6.72282i) q^{46} +(5.80640 - 5.80640i) q^{47} +(1.65732 + 6.72706i) q^{48} +(0.672214 + 0.672214i) q^{49} +(-3.08690 + 9.70987i) q^{50} +(-5.42111 + 4.45053i) q^{51} +(4.42625 - 9.93110i) q^{52} +(2.62158 + 0.521466i) q^{53} +(-1.52557 + 7.18837i) q^{54} +(-0.821138 - 1.98240i) q^{55} +(-0.957171 + 6.89047i) q^{56} +(-8.26163 - 6.77780i) q^{57} +(8.79658 - 2.54130i) q^{58} +(-3.90169 - 5.83928i) q^{59} +(7.42771 + 9.55424i) q^{60} +(-10.9229 + 2.17271i) q^{61} +(3.13764 - 0.266996i) q^{62} +(-4.09726 + 6.13649i) q^{63} +(6.98453 - 3.90081i) q^{64} -18.9921i q^{65} +(-1.47161 - 0.312839i) q^{66} +(-0.594194 - 2.98722i) q^{67} +(6.61218 + 4.67689i) q^{68} +(-8.87146 + 2.69277i) q^{69} +(3.37261 + 11.6741i) q^{70} +(1.46534 + 0.606963i) q^{71} +(8.47069 - 0.497463i) q^{72} +(7.41369 - 3.07085i) q^{73} +(2.59992 - 2.07652i) q^{74} +(11.0062 + 5.88051i) q^{75} +(-5.02322 + 11.2705i) q^{76} +(-1.25608 - 0.839284i) q^{77} +(-10.9742 - 7.54279i) q^{78} +(-8.48677 + 8.48677i) q^{79} +(8.36970 - 11.1902i) q^{80} +(8.31725 + 3.43850i) q^{81} +(2.61876 - 1.35534i) q^{82} +(-2.70812 - 1.80951i) q^{83} +(8.08510 + 2.68761i) q^{84} +(13.8751 + 2.75994i) q^{85} +(0.846679 - 7.56481i) q^{86} +(-1.10107 - 11.1600i) q^{87} +(0.101260 + 1.73429i) q^{88} +(0.774465 + 0.320794i) q^{89} +(13.1609 - 6.81709i) q^{90} +(-7.42858 - 11.1177i) q^{91} +(5.70902 + 9.05606i) q^{92} +(0.377371 - 3.83819i) q^{93} +(-7.48568 + 8.87816i) q^{94} +21.5536i q^{95} +(-3.14199 - 9.28051i) q^{96} +4.44200i q^{97} +(-1.02783 - 0.866626i) q^{98} +(-0.704564 + 1.70260i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−1.40912	+	0.119909i	−0.996399	+	0.0847881i
$2$	−1.40912	+	0.119909i	−0.996399	+	0.0847881i
$3$	−0.169478	+	1.72374i	−0.0978482	+	0.995201i
$3$	−0.169478	+	1.72374i	−0.0978482	+	0.995201i
$4$	1.97124	−	0.337931i	0.985622	−	0.168966i
$5$	2.90474	−	1.94088i	1.29904	−	0.867990i	0.302667	−	0.953097i	$-0.402123\pi$
$5$	2.90474	−	1.94088i	1.29904	−	0.867990i	0.996372	+	0.0851069i	$0.0271232\pi$
$6$	0.0321240	−	2.44928i	0.0131146	−	0.999914i
$7$	0.941226	−	2.27232i	0.355750	−	0.858856i	−0.640138	−	0.768260i	$-0.721123\pi$
$7$	0.941226	−	2.27232i	0.355750	−	0.858856i	0.995888	−	0.0905962i	$-0.0288773\pi$
$8$	−2.73720	+	0.712555i	−0.967746	+	0.251926i
$9$	−2.94255	−	0.584272i	−0.980851	−	0.194757i
$10$	−3.86040	+	3.08324i	−1.22077	+	0.975007i
$11$	0.119826	−	0.602407i	0.0361289	−	0.181632i	−0.958507	−	0.285068i	$-0.907984\pi$
$11$	0.119826	−	0.602407i	0.0361289	−	0.181632i	0.994636	+	0.103436i	$0.0329837\pi$
$12$	0.248423	+	3.45518i	0.0717135	+	0.997425i
$13$	3.02031	−	4.52021i	0.837683	−	1.25368i	−0.127429	−	0.991848i	$-0.540673\pi$
$13$	3.02031	−	4.52021i	0.837683	−	1.25368i	0.965113	−	0.261834i	$-0.0843274\pi$
$14$	−1.05383	+	3.31484i	−0.281648	+	0.885927i
$15$	2.85329	+	5.33595i	0.736716	+	1.37774i
$16$	3.77160	−	1.33229i	0.942901	−	0.333072i
$17$	2.86344	+	2.86344i	0.694486	+	0.694486i	0.963216	−	0.268730i	$-0.0866039\pi$
$17$	2.86344	+	2.86344i	0.694486	+	0.694486i	−0.268730	+	0.963216i	$0.586604\pi$
$18$	4.21647	+	0.470472i	0.993833	+	0.110891i
$19$	−3.42767	+	5.12986i	−0.786360	+	1.17687i	0.194259	+	0.980950i	$0.437770\pi$
$19$	−3.42767	+	5.12986i	−0.786360	+	1.17687i	−0.980620	+	0.195921i	$0.937230\pi$
$20$	5.07006	−	4.80756i	1.13370	−	1.07500i
$21$	3.75737	+	2.00754i	0.819926	+	0.438080i
$22$	−0.0966159	+	0.863232i	−0.0205986	+	0.184042i
$23$	2.04839	+	4.94524i	0.427118	+	1.03115i	0.980197	+	0.198025i	$0.0634527\pi$
$23$	2.04839	+	4.94524i	0.427118	+	1.03115i	−0.553079	+	0.833129i	$0.686547\pi$
$24$	−0.764364	−	4.83898i	−0.156025	−	0.987753i
$25$	2.75706	−	6.65612i	0.551411	−	1.33122i
$26$	−3.71397	+	6.73169i	−0.728370	+	1.32019i
$27$	1.50583	−	4.97318i	0.289797	−	0.957088i
$28$	1.08750	−	4.79737i	0.205518	−	0.906617i
$29$	−6.35008	+	1.26311i	−1.17918	+	0.234554i	−0.745495	−	0.666511i	$-0.767787\pi$
$29$	−6.35008	+	1.26311i	−1.17918	+	0.234554i	−0.433685	+	0.901064i	$0.642787\pi$
$30$	−4.66045	−	7.17686i	−0.850879	−	1.31031i
$31$	−2.22666			−0.399921			−0.199960	−	0.979804i	$-0.564081\pi$
$31$	−2.22666			−0.399921			−0.199960	+	0.979804i	$0.564081\pi$
$32$	−5.15489	+	2.32960i	−0.911265	+	0.411820i
$33$	1.01808	+	0.308644i	0.177226	+	0.0537280i
$34$	−4.37828	−	3.69158i	−0.750869	−	0.633101i
$35$	−1.67630	−	8.42731i	−0.283346	−	1.42447i
$36$	−5.99794	−	0.157361i	−0.999656	−	0.0262269i
$37$	−1.95630	+	1.30716i	−0.321613	+	0.214895i	−0.705888	−	0.708324i	$-0.749452\pi$
$37$	−1.95630	+	1.30716i	−0.321613	+	0.214895i	0.384274	+	0.923219i	$0.374452\pi$
$38$	4.21488	−	7.63961i	0.683744	−	1.23931i
$39$	7.27979	+	5.97230i	1.16570	+	0.956334i
$40$	−6.56786	+	7.38237i	−1.03847	+	1.16726i
$41$	−1.92633	+	0.797913i	−0.300843	+	0.124613i	−0.527998	−	0.849245i	$-0.677057\pi$
$41$	−1.92633	+	0.797913i	−0.300843	+	0.124613i	0.227156	+	0.973858i	$0.427057\pi$
$42$	−5.53531	−	2.37832i	−0.854117	−	0.366983i
$43$	−1.05008	+	5.27910i	−0.160136	+	0.805056i	0.814310	+	0.580431i	$0.197116\pi$
$43$	−1.05008	+	5.27910i	−0.160136	+	0.805056i	−0.974445	+	0.224625i	$0.927884\pi$
$44$	0.0326345	−	1.22798i	0.00491984	−	0.185126i
$45$	−9.68135	+	4.01400i	−1.44321	+	0.598372i
$46$	−3.47940	−	6.72282i	−0.513009	−	0.991226i
$47$	5.80640	−	5.80640i	0.846950	−	0.846950i	−0.142801	−	0.989751i	$-0.545611\pi$
$47$	5.80640	−	5.80640i	0.846950	−	0.846950i	0.989751	+	0.142801i	$0.0456109\pi$
$48$	1.65732	+	6.72706i	0.239213	+	0.970967i
$49$	0.672214	+	0.672214i	0.0960305	+	0.0960305i
$50$	−3.08690	+	9.70987i	−0.436553	+	1.37318i
$51$	−5.42111	+	4.45053i	−0.759107	+	0.623199i
$52$	4.42625	−	9.93110i	0.613810	−	1.37720i
$53$	2.62158	+	0.521466i	0.360102	+	0.0716288i	0.371826	−	0.928302i	$-0.378732\pi$
$53$	2.62158	+	0.521466i	0.360102	+	0.0716288i	−0.0117236	+	0.999931i	$0.503732\pi$
$54$	−1.52557	+	7.18837i	−0.207604	+	0.978213i
$55$	−0.821138	−	1.98240i	−0.110722	−	0.267307i
$56$	−0.957171	+	6.89047i	−0.127907	+	0.920778i
$57$	−8.26163	−	6.77780i	−1.09428	−	0.897742i
$58$	8.79658	−	2.54130i	1.15505	−	0.333689i
$59$	−3.90169	−	5.83928i	−0.507956	−	0.760210i	0.485523	−	0.874224i	$-0.338629\pi$
$59$	−3.90169	−	5.83928i	−0.507956	−	0.760210i	−0.993479	+	0.114014i	$0.963629\pi$
$60$	7.42771	+	9.55424i	0.958913	+	1.23345i
$61$	−10.9229	+	2.17271i	−1.39854	+	0.278187i	−0.836066	−	0.548628i	$-0.815150\pi$
$61$	−10.9229	+	2.17271i	−1.39854	+	0.278187i	−0.562474	+	0.826815i	$0.690150\pi$
$62$	3.13764	−	0.266996i	0.398481	−	0.0339085i
$63$	−4.09726	+	6.13649i	−0.516206	+	0.773126i
$64$	6.98453	−	3.90081i	0.873066	−	0.487601i
$65$		−	18.9921i		−	2.35568i
$66$	−1.47161	−	0.312839i	−0.181143	−	0.0385079i
$67$	−0.594194	−	2.98722i	−0.0725924	−	0.364946i	0.927365	−	0.374157i	$-0.122068\pi$
$67$	−0.594194	−	2.98722i	−0.0725924	−	0.364946i	−0.999958	+	0.00921096i	$0.997068\pi$
$68$	6.61218	+	4.67689i	0.801844	+	0.567156i
$69$	−8.87146	+	2.69277i	−1.06800	+	0.324172i
$70$	3.37261	+	11.6741i	0.403104	+	1.39532i
$71$	1.46534	+	0.606963i	0.173904	+	0.0720332i	0.467937	−	0.883762i	$-0.344998\pi$
$71$	1.46534	+	0.606963i	0.173904	+	0.0720332i	−0.294033	+	0.955795i	$0.594998\pi$
$72$	8.47069	−	0.497463i	0.998280	−	0.0586266i
$73$	7.41369	−	3.07085i	0.867707	−	0.359416i	0.0959903	−	0.995382i	$-0.469398\pi$
$73$	7.41369	−	3.07085i	0.867707	−	0.359416i	0.771717	+	0.635966i	$0.219398\pi$
$74$	2.59992	−	2.07652i	0.302235	−	0.241390i
$75$	11.0062	+	5.88051i	1.27088	+	0.679023i
$76$	−5.02322	+	11.2705i	−0.576203	+	1.29282i
$77$	−1.25608	−	0.839284i	−0.143143	−	0.0956453i
$78$	−10.9742	−	7.54279i	−1.24259	−	0.854053i
$79$	−8.48677	+	8.48677i	−0.954836	+	0.954836i	−0.999023	−	0.0441871i	$-0.985930\pi$
$79$	−8.48677	+	8.48677i	−0.954836	+	0.954836i	0.0441871	+	0.999023i	$0.485930\pi$
$80$	8.36970	−	11.1902i	0.935761	−	1.25110i
$81$	8.31725	+	3.43850i	0.924139	+	0.382056i
$82$	2.61876	−	1.35534i	0.289194	−	0.149672i
$83$	−2.70812	−	1.80951i	−0.297255	−	0.198619i	0.397995	−	0.917388i	$-0.369706\pi$
$83$	−2.70812	−	1.80951i	−0.297255	−	0.198619i	−0.695250	+	0.718768i	$0.744706\pi$
$84$	8.08510	+	2.68761i	0.882157	+	0.293242i
$85$	13.8751	+	2.75994i	1.50497	+	0.299357i
$86$	0.846679	−	7.56481i	0.0912997	−	0.815734i
$87$	−1.10107	−	11.1600i	−0.118047	−	1.19647i
$88$	0.101260	+	1.73429i	0.0107943	+	0.184876i
$89$	0.774465	+	0.320794i	0.0820932	+	0.0340041i	0.423352	−	0.905965i	$-0.360853\pi$
$89$	0.774465	+	0.320794i	0.0820932	+	0.0340041i	−0.341259	+	0.939969i	$0.610853\pi$
$90$	13.1609	−	6.81709i	1.38728	−	0.718584i
$91$	−7.42858	−	11.1177i	−0.778727	−	1.16545i
$92$	5.70902	+	9.05606i	0.595206	+	0.944160i
$93$	0.377371	−	3.83819i	0.0391315	−	0.398002i
$94$	−7.48568	+	8.87816i	−0.772089	+	0.915712i
$95$			21.5536i			2.21135i
$96$	−3.14199	−	9.28051i	−0.320678	−	0.947188i
$97$			4.44200i			0.451017i	0.974241	+	0.225508i	$0.0724043\pi$
$97$			4.44200i			0.451017i	−0.974241	+	0.225508i	$0.927596\pi$
$98$	−1.02783	−	0.866626i	−0.103827	−	0.0875425i
$99$	−0.704564	+	1.70260i	−0.0708114	+	0.171118i
$100$	3.18552	−	14.0525i	0.318552	−	1.40525i
$101$	−5.13524	−	7.68543i	−0.510975	−	0.764729i	0.482848	−	0.875704i	$-0.339602\pi$
$101$	−5.13524	−	7.68543i	−0.510975	−	0.764729i	−0.993823	+	0.110976i	$0.964602\pi$
$102$	7.10534	−	6.92137i	0.703534	−	0.685318i
$103$	2.89491	+	1.19911i	0.285244	+	0.118152i	0.520718	−	0.853729i	$-0.325664\pi$
$103$	2.89491	+	1.19911i	0.285244	+	0.118152i	−0.235474	+	0.971881i	$0.575664\pi$
$104$	−5.04629	+	14.5249i	−0.494830	+	1.42428i
$105$	14.8106	−	1.46125i	1.44536	−	0.142604i
$106$	−3.75666	−	0.420458i	−0.364879	−	0.0408385i
$107$	−12.5217	−	2.49073i	−1.21052	−	0.240788i	−0.451750	−	0.892145i	$-0.649200\pi$
$107$	−12.5217	−	2.49073i	−1.21052	−	0.240788i	−0.758772	+	0.651357i	$0.774200\pi$
$108$	1.28777	−	10.3122i	0.123916	−	0.992293i
$109$	6.48723	+	4.33463i	0.621364	+	0.415182i	0.826011	−	0.563654i	$-0.190605\pi$
$109$	6.48723	+	4.33463i	0.621364	+	0.415182i	−0.204647	+	0.978836i	$0.565605\pi$
$110$	1.39479	+	2.69498i	0.132988	+	0.256957i
$111$	−1.92165	−	3.59368i	−0.182395	−	0.341097i
$112$	0.522543	−	9.82428i	0.0493757	−	0.928307i
$113$	−8.40792	+	8.40792i	−0.790950	+	0.790950i	−0.981649	−	0.190699i	$-0.938925\pi$
$113$	−8.40792	+	8.40792i	−0.790950	+	0.790950i	0.190699	+	0.981649i	$0.438925\pi$
$114$	12.4544	+	8.56010i	1.16646	+	0.801727i
$115$	15.5482	+	10.3889i	1.44987	+	0.968774i
$116$	−12.0907	+	4.63579i	−1.12259	+	0.430422i
$117$	−11.5285	+	11.5363i	−1.06581	+	1.06653i
$118$	6.19813	+	7.76041i	0.570584	+	0.714404i
$119$	9.20179	−	3.81151i	0.843527	−	0.349400i
$120$	−11.6122	−	12.5724i	−1.06004	−	1.14770i
$121$	9.81414	+	4.06515i	0.892194	+	0.369559i
$122$	15.1312	−	4.37136i	1.36992	−	0.395765i
$123$	−1.04892	−	3.45572i	−0.0945782	−	0.311592i
$124$	−4.38930	+	0.752460i	−0.394171	+	0.0675729i
$125$	−1.50249	−	7.55355i	−0.134387	−	0.675610i
$126$	5.03772	−	9.13836i	0.448796	−	0.814110i
$127$		−	10.2676i		−	0.911098i	−0.890211	−	0.455549i	$-0.849443\pi$
$127$		−	10.2676i		−	0.911098i	0.890211	−	0.455549i	$-0.150557\pi$
$128$	−9.37431	+	6.33422i	−0.828580	+	0.559871i
$129$	−8.92183	−	2.70475i	−0.785524	−	0.238140i
$130$	2.27732	+	26.7622i	0.199734	+	2.34720i
$131$	11.2509	−	2.23795i	0.982998	−	0.195530i	0.322673	−	0.946511i	$-0.395419\pi$
$131$	11.2509	−	2.23795i	0.982998	−	0.195530i	0.660325	+	0.750980i	$0.270419\pi$
$132$	2.11119	+	0.264370i	0.183756	+	0.0230104i
$133$	8.43049	+	12.6171i	0.731016	+	1.09404i
$134$	1.19548	+	4.13810i	0.103274	+	0.357477i
$135$	−5.27831	−	17.3684i	−0.454285	−	1.49484i
$136$	−9.87816	−	5.79745i	−0.847045	−	0.497127i
$137$	3.05558	+	7.37682i	0.261056	+	0.630244i	0.999004	−	0.0446127i	$-0.0142054\pi$
$137$	3.05558	+	7.37682i	0.261056	+	0.630244i	−0.737949	+	0.674857i	$0.764205\pi$
$138$	12.1781	−	4.85821i	1.03667	−	0.413558i
$139$	−20.8181	−	4.14098i	−1.76577	−	0.351234i	−0.797920	−	0.602763i	$-0.794067\pi$
$139$	−20.8181	−	4.14098i	−1.76577	−	0.351234i	−0.967850	+	0.251529i	$0.919067\pi$
$140$	−6.15224	−	16.0458i	−0.519959	−	1.35612i
$141$	9.02466	+	10.9928i	0.760014	+	0.925759i
$142$	−2.13762	−	0.679577i	−0.179385	−	0.0570289i
$143$	−2.36110	−	2.36110i	−0.197445	−	0.197445i
$144$	−11.8766	+	1.71669i	−0.989714	+	0.143058i
$145$	−15.9938	+	15.9938i	−1.32821	+	1.32821i
$146$	−10.0786	+	5.21617i	−0.834108	+	0.431693i
$147$	−1.27265	+	1.04480i	−0.104966	+	0.0861733i
$148$	−3.41461	+	3.23782i	−0.280679	+	0.266147i
$149$	−3.24554	+	16.3164i	−0.265885	+	1.33669i	0.584868	+	0.811128i	$0.301146\pi$
$149$	−3.24554	+	16.3164i	−0.265885	+	1.33669i	−0.850753	+	0.525566i	$0.823854\pi$
$150$	−16.2141	−	6.96662i	−1.32388	−	0.568822i
$151$	5.75019	−	2.38181i	0.467944	−	0.193829i	−0.136236	−	0.990676i	$-0.543501\pi$
$151$	5.75019	−	2.38181i	0.467944	−	0.193829i	0.604180	+	0.796848i	$0.293501\pi$
$152$	5.72690	−	16.4839i	0.464513	−	1.33702i
$153$	−6.75280	−	10.0988i	−0.545931	−	0.816443i
$154$	1.87060	+	1.03204i	0.150737	+	0.0831641i
$155$	−6.46788	+	4.32170i	−0.519512	+	0.347127i
$156$	16.3685	+	9.31280i	1.31053	+	0.745621i
$157$	−0.0761509	−	0.382837i	−0.00607751	−	0.0305537i	0.977628	−	0.210343i	$-0.0674582\pi$
$157$	−0.0761509	−	0.382837i	−0.00607751	−	0.0305537i	−0.983705	+	0.179790i	$0.942458\pi$
$158$	10.9412	−	12.9765i	0.870439	−	1.03236i
$159$	−1.34317	+	4.43055i	−0.106520	+	0.351366i
$160$	−10.4521	+	16.7719i	−0.826313	+	1.32594i
$161$	13.1652			1.03756
$162$	−12.1323	−	3.84796i	−0.953205	−	0.302324i
$163$	−0.957189	+	0.190397i	−0.0749728	+	0.0149130i	−0.232434	−	0.972612i	$-0.574669\pi$
$163$	−0.957189	+	0.190397i	−0.0749728	+	0.0149130i	0.157461	+	0.987525i	$0.449669\pi$
$164$	−3.52763	+	2.22385i	−0.275462	+	0.173653i
$165$	3.55631	−	1.07945i	0.276858	−	0.0840354i
$166$	4.03305	+	2.22509i	0.313025	+	0.172701i
$167$	1.39988	−	3.37962i	0.108326	−	0.261523i	−0.860416	−	0.509592i	$-0.829796\pi$
$167$	1.39988	−	3.37962i	0.108326	−	0.261523i	0.968742	+	0.248070i	$0.0797962\pi$
$168$	−11.7152	−	2.81770i	−0.903844	−	0.217390i
$169$	−6.33517	−	15.2945i	−0.487321	−	1.17650i
$170$	−19.8827	−	2.22534i	−1.52493	−	0.170676i
$171$	13.0833	−	13.0922i	1.00051	−	1.00119i
$172$	−0.285988	+	10.7613i	−0.0218064	+	0.820538i
$173$	−6.30542	+	9.43673i	−0.479392	+	0.717461i	−0.989799	−	0.142472i	$-0.954495\pi$
$173$	−6.30542	+	9.43673i	−0.479392	+	0.717461i	0.510407	+	0.859933i	$0.329495\pi$
$174$	2.88972	+	15.5937i	0.219069	+	1.18216i
$175$	−12.5298	−	12.5298i	−0.947166	−	0.947166i
$176$	−0.350643	−	2.43168i	−0.0264307	−	0.183295i
$177$	10.7267	−	5.73586i	0.806265	−	0.431133i
$178$	−1.12978	−	0.359173i	−0.0846807	−	0.0269211i
$179$	−2.00107	+	2.99481i	−0.149567	+	0.223843i	−0.898686	−	0.438593i	$-0.855477\pi$
$179$	−2.00107	+	2.99481i	−0.149567	+	0.223843i	0.749119	+	0.662435i	$0.230477\pi$
$180$	−17.7279	+	11.1842i	−1.32136	+	0.833621i
$181$	3.05318	−	15.3494i	0.226941	−	1.14091i	−0.684352	−	0.729152i	$-0.739915\pi$
$181$	3.05318	−	15.3494i	0.226941	−	1.14091i	0.911293	−	0.411758i	$-0.135085\pi$
$182$	11.8009	+	14.7754i	0.874739	+	1.09522i
$183$	−1.89398	−	19.1965i	−0.140007	−	1.41905i
$184$	−9.13060	−	12.0765i	−0.673116	−	0.890293i
$185$	−3.14549	+	7.59389i	−0.231261	+	0.558314i
$186$	−0.0715293	+	5.45372i	−0.00524478	+	0.399886i
$187$	2.06807	−	1.38184i	0.151232	−	0.101050i
$188$	9.48367	−	13.4080i	0.691667	−	0.977878i
$189$	−9.88332	−	8.10261i	−0.718906	−	0.589378i
$190$	−2.58446	−	30.3716i	−0.187497	−	2.20339i
$191$	−2.74466			−0.198597			−0.0992984	−	0.995058i	$-0.531660\pi$
$191$	−2.74466			−0.198597			−0.0992984	+	0.995058i	$0.531660\pi$
$192$	5.54026	+	12.7006i	0.399834	+	0.916588i
$193$	−16.9134			−1.21745			−0.608725	−	0.793381i	$-0.708319\pi$
$193$	−16.9134			−1.21745			−0.608725	+	0.793381i	$0.708319\pi$
$194$	−0.532633	−	6.25931i	−0.0382409	−	0.449392i
$195$	32.7374	+	3.21874i	2.34438	+	0.230499i
$196$	1.55226	+	1.09794i	0.110876	+	0.0784239i
$197$	22.5452	−	15.0642i	1.60628	−	1.07328i	0.659354	−	0.751832i	$-0.270830\pi$
$197$	22.5452	−	15.0642i	1.60628	−	1.07328i	0.946927	−	0.321450i	$-0.104170\pi$
$198$	0.788660	−	2.48366i	0.0560476	−	0.176506i
$199$	−4.62777	+	11.1724i	−0.328054	+	0.791993i	0.670683	+	0.741744i	$0.266001\pi$
$199$	−4.62777	+	11.1724i	−0.328054	+	0.791993i	−0.998737	+	0.0502483i	$0.983999\pi$
$200$	−2.80376	+	20.1837i	−0.198256	+	1.42720i
$201$	5.24988	−	0.517968i	0.370298	−	0.0365347i
$202$	8.15772	+	10.2139i	0.573975	+	0.718650i
$203$	−3.10667	+	15.6183i	−0.218046	+	1.09619i
$204$	−9.18236	+	10.6050i	−0.642894	+	0.742502i
$205$	−4.04684	+	6.05652i	−0.282643	+	0.423006i
$206$	−4.22306	−	1.34257i	−0.294235	−	0.0935412i
$207$	−3.13812	−	15.7485i	−0.218115	−	1.09459i
$208$	5.36918	−	21.0724i	0.372286	−	1.46111i
$209$	2.67954	+	2.67954i	0.185348	+	0.185348i
$210$	−20.6947	+	3.83500i	−1.42807	+	0.264640i
$211$	2.34606	−	3.51113i	0.161509	−	0.241716i	−0.741884	−	0.670528i	$-0.766068\pi$
$211$	2.34606	−	3.51113i	0.161509	−	0.241716i	0.903394	+	0.428812i	$0.141068\pi$
$212$	5.34400	+	0.142021i	0.367028	+	0.00975401i
$213$	−1.29459	+	2.42299i	−0.0887037	+	0.166021i
$214$	17.9433	+	2.00827i	1.22658	+	0.137283i
$215$	7.19592	+	17.3725i	0.490758	+	1.18479i
$216$	−0.578099	+	14.6856i	−0.0393346	+	0.999226i
$217$	−2.09579	+	5.05970i	−0.142272	+	0.343475i
$218$	−9.66105	−	5.33014i	−0.654329	−	0.361003i
$219$	4.03689	+	13.2997i	0.272788	+	0.898712i
$220$	−2.28858	−	3.63031i	−0.154296	−	0.244756i
$221$	21.5918	−	4.29488i	1.45242	−	0.288905i
$222$	3.13875	+	4.83351i	0.210659	+	0.324404i
$223$	10.1736			0.681278			0.340639	−	0.940194i	$-0.389357\pi$
$223$	10.1736			0.681278			0.340639	+	0.940194i	$0.389357\pi$
$224$	0.441688	+	13.9063i	0.0295115	+	0.929151i
$225$	−12.0018	+	17.9751i	−0.800118	+	1.19834i
$226$	10.8396	−	12.8560i	0.721039	−	0.855165i
$227$	−0.831302	−	4.17924i	−0.0551755	−	0.277386i	0.943342	−	0.331823i	$-0.107664\pi$
$227$	−0.831302	−	4.17924i	−0.0551755	−	0.277386i	−0.998517	+	0.0544370i	$0.982664\pi$
$228$	−18.5761	−	10.5688i	−1.23023	−	0.699938i
$229$	4.92673	−	3.29194i	0.325568	−	0.217537i	−0.382035	−	0.924148i	$-0.624777\pi$
$229$	4.92673	−	3.29194i	0.325568	−	0.217537i	0.707603	+	0.706610i	$0.249777\pi$
$230$	−23.1550	−	12.7749i	−1.52679	−	0.842354i
$231$	1.65958	−	2.02291i	0.109193	−	0.133098i
$232$	16.4814	−	7.98217i	1.08206	−	0.524055i
$233$	−1.33412	+	0.552611i	−0.0874012	+	0.0362027i	−0.425956	−	0.904744i	$-0.640062\pi$
$233$	−1.33412	+	0.552611i	−0.0874012	+	0.0362027i	0.338555	+	0.940947i	$0.390062\pi$
$234$	14.8617	−	17.6384i	0.971540	−	1.15306i
$235$	5.59652	−	28.1356i	0.365077	−	1.83537i
$236$	−9.66445	−	10.1922i	−0.629102	−	0.663453i
$237$	−13.1907	−	16.0673i	−0.856825	−	1.04368i
$238$	−12.5094	+	6.47425i	−0.810864	+	0.419663i
$239$	7.97805	−	7.97805i	0.516057	−	0.516057i	−0.400319	−	0.916376i	$-0.631101\pi$
$239$	7.97805	−	7.97805i	0.516057	−	0.516057i	0.916376	+	0.400319i	$0.131101\pi$
$240$	17.8705	+	16.3237i	1.15354	+	1.05369i
$241$	11.5323	+	11.5323i	0.742862	+	0.742862i	0.973128	−	0.230265i	$-0.0739594\pi$
$241$	11.5323	+	11.5323i	0.742862	+	0.742862i	−0.230265	+	0.973128i	$0.573959\pi$
$242$	−14.3168	−	4.55149i	−0.920316	−	0.292581i
$243$	−7.33667	+	13.7540i	−0.470648	+	0.882321i
$244$	−20.7976	+	7.97414i	−1.33143	+	0.510492i
$245$	3.25729	+	0.647916i	0.208101	+	0.0413938i
$246$	1.89243	+	4.74376i	0.120657	+	0.302451i
$247$	12.8355	+	30.9876i	0.816701	+	1.97169i
$248$	6.09483	−	1.58662i	0.387022	−	0.100751i
$249$	3.57809	−	4.36142i	0.226752	−	0.276394i
$250$	3.02293	+	10.4637i	0.191187	+	0.661783i
$251$	−12.1731	−	18.2184i	−0.768360	−	1.14993i	−0.984809	−	0.173639i	$-0.944448\pi$
$251$	−12.1731	−	18.2184i	−0.768360	−	1.14993i	0.216449	−	0.976294i	$-0.430552\pi$
$252$	−6.00299	+	13.4811i	−0.378153	+	0.849231i
$253$	3.22450	−	0.641392i	0.202722	−	0.0403240i
$254$	1.23117	+	14.4682i	0.0772503	+	0.907818i
$255$	−7.10894	+	23.4494i	−0.445179	+	1.46846i
$256$	12.4500	−	10.0497i	0.778126	−	0.628109i
$257$			30.7582i			1.91864i	0.282315	+	0.959322i	$0.408898\pi$
$257$			30.7582i			1.91864i	−0.282315	+	0.959322i	$0.591102\pi$
$258$	12.8963	+	2.74152i	0.802886	+	0.170680i
$259$	1.12896	+	5.67567i	0.0701502	+	0.352669i
$260$	−6.41803	−	37.4381i	−0.398029	−	2.32181i
$261$	19.4235	−	0.00659594i	1.20228	−	0.000408278i
$262$	−15.5856	+	4.50262i	−0.962879	+	0.278173i
$263$	−10.3345	−	4.28069i	−0.637253	−	0.263959i	0.0405784	−	0.999176i	$-0.487080\pi$
$263$	−10.3345	−	4.28069i	−0.637253	−	0.263959i	−0.677831	+	0.735218i	$0.737080\pi$
$264$	−3.00663	−	0.119379i	−0.185045	−	0.00734726i
$265$	8.62712	−	3.57347i	0.529960	−	0.219517i
$266$	−13.3925	−	16.7682i	−0.821145	−	1.02812i
$267$	−0.684220	+	1.28061i	−0.0418736	+	0.0783720i
$268$	−2.18077	−	5.68773i	−0.133212	−	0.347434i
$269$	24.0832	+	16.0919i	1.46838	+	0.981139i	0.994957	+	0.100303i	$0.0319812\pi$
$269$	24.0832	+	16.0919i	1.46838	+	0.981139i	0.473421	+	0.880836i	$0.343019\pi$
$270$	9.52040	+	23.8413i	0.579393	+	1.45093i
$271$	8.82755	−	8.82755i	0.536235	−	0.536235i	−0.386186	−	0.922421i	$-0.626208\pi$
$271$	8.82755	−	8.82755i	0.536235	−	0.536235i	0.922421	+	0.386186i	$0.126208\pi$
$272$	14.6147	+	6.98483i	0.886145	+	0.423517i
$273$	20.4229	−	10.9207i	1.23605	−	0.660953i
$274$	−5.19022	−	10.0284i	−0.313553	−	0.605840i
$275$	−3.67933	−	2.45845i	−0.221872	−	0.148250i
$276$	−16.5778	+	8.30606i	−0.997869	+	0.499966i
$277$	−24.1644	−	4.80659i	−1.45190	−	0.288800i	−0.594766	−	0.803899i	$-0.702755\pi$
$277$	−24.1644	−	4.80659i	−1.45190	−	0.288800i	−0.857131	+	0.515099i	$0.827755\pi$
$278$	29.8318	+	3.33887i	1.78919	+	0.200252i
$279$	6.55208	+	1.30098i	0.392263	+	0.0778875i
$280$	10.5933	+	21.8728i	0.633069	+	1.30715i
$281$	−25.9295	−	10.7403i	−1.54682	−	0.640715i	−0.564085	−	0.825717i	$-0.690771\pi$
$281$	−25.9295	−	10.7403i	−1.54682	−	0.640715i	−0.982738	+	0.185002i	$0.940771\pi$
$282$	−14.0350	−	14.4080i	−0.835770	−	0.857985i
$283$	−4.84313	−	7.24825i	−0.287894	−	0.430864i	0.659129	−	0.752030i	$-0.270925\pi$
$283$	−4.84313	−	7.24825i	−0.287894	−	0.430864i	−0.947023	+	0.321166i	$0.895925\pi$
$284$	3.09365	+	0.701288i	0.183574	+	0.0416138i
$285$	−37.1528	−	3.65286i	−2.20074	−	0.216377i
$286$	3.61018	+	3.04395i	0.213475	+	0.179993i
$287$			5.12826i			0.302712i
$288$	16.5297	−	3.84313i	0.974021	−	0.226459i
$289$		−	0.601449i		−	0.0353793i
$290$	20.6194	−	24.4550i	1.21081	−	1.43604i
$291$	−7.65685	−	0.752821i	−0.448852	−	0.0441311i
$292$	13.5765	−	8.55872i	0.794502	−	0.500861i
$293$	−9.48368	−	14.1933i	−0.554043	−	0.829183i	0.443711	−	0.896170i	$-0.353662\pi$
$293$	−9.48368	−	14.1933i	−0.554043	−	0.829183i	−0.997754	+	0.0669864i	$0.978662\pi$
$294$	1.66803	−	1.62484i	0.0972817	−	0.0947629i
$295$	−22.6667	−	9.38887i	−1.31971	−	0.546641i
$296$	4.42336	−	4.97192i	0.257103	−	0.288987i
$297$	−2.81544	−	1.50304i	−0.163368	−	0.0872152i
$298$	2.61688	−	23.3810i	0.151592	−	1.35442i
$299$	28.5403	+	5.67702i	1.65053	+	0.328310i
$300$	23.6830	+	7.87260i	1.36734	+	0.454525i
$301$	11.0075	+	7.35494i	0.634459	+	0.423932i
$302$	−7.81711	+	4.04575i	−0.449824	+	0.232807i
$303$	14.1180	−	7.54930i	0.811057	−	0.433696i
$304$	−6.09334	+	23.9145i	−0.349477	+	1.37159i
$305$	−27.5113	+	27.5113i	−1.57529	+	1.57529i
$306$	10.7264	+	13.4208i	0.613190	+	0.767215i
$307$	13.2446	+	8.84977i	0.755911	+	0.505083i	0.872810	−	0.488060i	$-0.162295\pi$
$307$	13.2446	+	8.84977i	0.755911	+	0.505083i	−0.116899	+	0.993144i	$0.537295\pi$
$308$	−2.75966	−	1.22997i	−0.157246	−	0.0700838i
$309$	−2.55758	+	4.78685i	−0.145496	+	0.272314i
$310$	8.59581	−	6.86535i	0.488209	−	0.389926i
$311$	−11.4654	+	4.74912i	−0.650142	+	0.269298i	−0.683284	−	0.730153i	$-0.739449\pi$
$311$	−11.4654	+	4.74912i	−0.650142	+	0.269298i	0.0331416	+	0.999451i	$0.489449\pi$
$312$	−24.1819	−	11.1601i	−1.36903	−	0.631819i
$313$	22.8548	+	9.46677i	1.29183	+	0.535094i	0.919530	−	0.393019i	$-0.128569\pi$
$313$	22.8548	+	9.46677i	1.29183	+	0.535094i	0.372300	+	0.928112i	$0.378569\pi$
$314$	0.153211	+	0.530332i	0.00864621	+	0.0299284i
$315$	0.00875358	+	25.7772i	0.000493209	+	1.45238i
$316$	−13.8615	+	19.5974i	−0.779773	+	1.10244i
$317$	−3.59988	−	18.0978i	−0.202190	−	1.01648i	−0.939924	−	0.341384i	$-0.889104\pi$
$317$	−3.59988	−	18.0978i	−0.202190	−	1.01648i	0.737734	−	0.675091i	$-0.235896\pi$
$318$	1.36143	−	6.40424i	0.0763452	−	0.359132i
$319$			3.97669i			0.222652i
$320$	12.7172	−	24.8870i	0.710914	−	1.39123i
$321$	6.41552	−	21.1621i	0.358080	−	1.18115i
$322$	−18.5513	+	1.57862i	−1.03382	+	0.0879728i
$323$	−24.5040	+	4.87414i	−1.36344	+	0.271204i
$324$	17.5573	+	3.96747i	0.975406	+	0.220415i
$325$	−21.7599	−	32.5660i	−1.20702	−	1.80644i
$326$	1.32596	−	0.383067i	0.0734384	−	0.0212161i
$327$	−8.57122	+	10.4477i	−0.473989	+	0.577758i
$328$	4.70420	−	3.55667i	0.259746	−	0.196384i
$329$	−7.72887	−	18.6591i	−0.426106	−	1.02871i
$330$	−4.88184	+	1.94751i	−0.268736	+	0.107207i
$331$	−1.28831	−	0.256261i	−0.0708120	−	0.0140854i	0.159557	−	0.987189i	$-0.448993\pi$
$331$	−1.28831	−	0.256261i	−0.0708120	−	0.0140854i	−0.230369	+	0.973103i	$0.573993\pi$
$332$	−5.94986	−	2.65183i	−0.326541	−	0.145538i
$333$	6.52025	−	2.70337i	0.357307	−	0.148144i
$334$	−1.56736	+	4.93015i	−0.0857621	+	0.269766i
$335$	−7.52382	−	7.52382i	−0.411070	−	0.411070i
$336$	16.8459	+	2.56573i	0.919021	+	0.139972i
$337$	7.71679	−	7.71679i	0.420360	−	0.420360i	−0.464968	−	0.885328i	$-0.653934\pi$
$337$	7.71679	−	7.71679i	0.420360	−	0.420360i	0.885328	+	0.464968i	$0.153934\pi$
$338$	10.7610	+	20.7921i	0.585319	+	1.13094i
$339$	−13.0681	−	15.9180i	−0.709762	−	0.864548i
$340$	28.2839	+	0.751666i	1.53391	+	0.0407648i
$341$	−0.266813	+	1.34136i	−0.0144487	+	0.0726386i
$342$	−16.8661	+	20.0173i	−0.912016	+	1.08241i
$343$	18.0664	−	7.48336i	0.975496	−	0.404064i
$344$	−0.887375	−	15.1982i	−0.0478440	−	0.819432i
$345$	−20.5429	+	25.0403i	−1.10599	+	1.34812i
$346$	7.75356	−	14.0536i	0.416834	−	0.755524i
$347$	25.3489	−	16.9376i	1.36080	−	0.909259i	0.361074	−	0.932537i	$-0.382410\pi$
$347$	25.3489	−	16.9376i	1.36080	−	0.909259i	0.999729	+	0.0232778i	$0.00741021\pi$
$348$	−5.94178	−	21.6269i	−0.318513	−	1.15932i
$349$	2.71948	+	13.6718i	0.145571	+	0.731833i	0.982755	+	0.184912i	$0.0592001\pi$
$349$	2.71948	+	13.6718i	0.145571	+	0.731833i	−0.837184	+	0.546921i	$0.815800\pi$
$350$	19.1585	+	16.1536i	1.02406	+	0.863447i
$351$	−17.9317	−	21.8272i	−0.957126	−	1.16505i
$352$	0.785679	+	3.38449i	0.0418768	+	0.180394i
$353$	−21.2174			−1.12929			−0.564645	−	0.825334i	$-0.690987\pi$
$353$	−21.2174			−1.12929			−0.564645	+	0.825334i	$0.690987\pi$
$354$	−14.4274	+	9.36873i	−0.766806	+	0.497943i
$355$	5.43447	−	1.08098i	0.288431	−	0.0573726i
$356$	1.63507	+	0.370647i	0.0866583	+	0.0196443i
$357$	5.01054	+	16.5075i	0.265186	+	0.873667i
$358$	2.46064	−	4.46000i	0.130049	−	0.235718i
$359$	1.52654	−	3.68538i	0.0805675	−	0.194507i	−0.878463	−	0.477811i	$-0.841430\pi$
$359$	1.52654	−	3.68538i	0.0805675	−	0.194507i	0.959030	+	0.283304i	$0.0914304\pi$
$360$	23.6396	−	17.8856i	1.24592	−	0.942655i
$361$	−7.29563	−	17.6132i	−0.383981	−	0.927011i
$362$	−2.46178	+	21.9952i	−0.129388	+	1.15604i
$363$	−8.67054	+	16.2281i	−0.455085	+	0.851752i
$364$	−18.4005	−	19.4053i	−0.964451	−	1.01711i
$365$	15.5747	−	23.3091i	0.815215	−	1.22006i
$366$	4.97068	+	26.8231i	0.259822	+	1.40207i
$367$	1.31681	+	1.31681i	0.0687369	+	0.0687369i	0.740639	−	0.671903i	$-0.234523\pi$
$367$	1.31681	+	1.31681i	0.0687369	+	0.0687369i	−0.671903	+	0.740639i	$0.734523\pi$
$368$	14.3142	+	15.9224i	0.746179	+	0.830015i
$369$	6.13454	−	1.22240i	0.319351	−	0.0636357i
$370$	3.52181	−	11.0779i	0.183090	−	0.575912i
$371$	3.65244	−	5.46626i	0.189625	−	0.283794i
$372$	−0.553154	−	7.69353i	−0.0286797	−	0.398891i
$373$	2.03388	−	10.2250i	0.105310	−	0.529431i	−0.891731	−	0.452566i	$-0.850509\pi$
$373$	2.03388	−	10.2250i	0.105310	−	0.529431i	0.997041	−	0.0768656i	$-0.0244912\pi$
$374$	−2.74847	+	2.19516i	−0.142120	+	0.113509i
$375$	13.2750	−	1.30975i	0.685518	−	0.0676351i
$376$	−11.7559	+	20.0307i	−0.606264	+	1.03300i
$377$	−13.4697	+	32.5187i	−0.693724	+	1.67480i
$378$	14.8984	+	10.2325i	0.766289	+	0.526301i
$379$	−2.77243	+	1.85248i	−0.142410	+	0.0951554i	−0.624734	−	0.780837i	$-0.714793\pi$
$379$	−2.77243	+	1.85248i	−0.142410	+	0.0951554i	0.482324	+	0.875993i	$0.339793\pi$
$380$	7.28364	+	42.4874i	0.373643	+	2.17956i
$381$	17.6986	+	1.74013i	0.906726	+	0.0891493i
$382$	3.86756	−	0.329109i	0.197882	−	0.0168387i
$383$	17.1813			0.877922			0.438961	−	0.898506i	$-0.355347\pi$
$383$	17.1813			0.877922			0.438961	+	0.898506i	$0.355347\pi$
$384$	−9.32980	−	17.2324i	−0.476110	−	0.879386i
$385$	−5.27753			−0.268968
$386$	23.8330	−	2.02806i	1.21307	−	0.103225i
$387$	6.17435	−	14.9205i	0.313860	−	0.758453i
$388$	1.50109	+	8.75626i	0.0762063	+	0.444532i
$389$	16.3944	−	10.9544i	0.831230	−	0.555410i	−0.0655690	−	0.997848i	$-0.520886\pi$
$389$	16.3944	−	10.9544i	0.831230	−	0.555410i	0.896799	+	0.442438i	$0.145886\pi$
$390$	−46.5170	−	0.610102i	−2.35548	−	0.0308937i
$391$	−8.29496	+	20.0258i	−0.419494	+	1.01275i
$392$	−2.31897	−	1.36099i	−0.117126	−	0.0687406i
$393$	1.95085	+	19.7729i	0.0984076	+	0.997413i
$394$	−29.9626	+	23.9307i	−1.50949	+	1.20561i
$395$	−8.18001	+	41.1237i	−0.411581	+	2.06916i
$396$	−0.813505	+	3.59434i	−0.0408802	+	0.180622i
$397$	−1.88169	+	2.81614i	−0.0944391	+	0.141338i	−0.875681	−	0.482891i	$-0.839587\pi$
$397$	−1.88169	+	2.81614i	−0.0944391	+	0.141338i	0.781241	+	0.624229i	$0.214587\pi$
$398$	5.18142	−	16.2982i	0.259721	−	0.816956i
$399$	−23.1774	+	12.3936i	−1.16032	+	0.620458i
$400$	1.53064	−	28.7775i	0.0765321	−	1.43887i
$401$	5.84082	+	5.84082i	0.291677	+	0.291677i	0.837742	−	0.546066i	$-0.183875\pi$
$401$	5.84082	+	5.84082i	0.291677	+	0.291677i	−0.546066	+	0.837742i	$0.683875\pi$
$402$	−7.33561	+	1.35939i	−0.365867	+	0.0678000i
$403$	−6.72522	+	10.0650i	−0.335007	+	0.501373i
$404$	−12.7200	−	13.4145i	−0.632841	−	0.667396i
$405$	30.8332	−	6.15487i	1.53211	−	0.305838i
$406$	2.50491	−	22.3806i	0.124317	−	1.11073i
$407$	0.553024	+	1.33512i	0.0274124	+	0.0661794i
$408$	11.6674	−	16.0448i	0.577623	−	0.794338i
$409$	−0.0666160	+	0.160825i	−0.00329395	+	0.00795229i	−0.925518	−	0.378704i	$-0.876370\pi$
$409$	−0.0666160	+	0.160825i	−0.00329395	+	0.00795229i	0.922224	+	0.386656i	$0.126370\pi$
$410$	4.97625	−	9.01962i	0.245760	−	0.445447i
$411$	−13.2336	+	4.01681i	−0.652764	+	0.198135i
$412$	6.11179	+	1.38546i	0.301106	+	0.0682567i
$413$	−16.9411	+	3.36979i	−0.833617	+	0.165817i
$414$	6.31037	+	21.8152i	0.310138	+	1.07216i
$415$	−11.3784			−0.558545
$416$	−5.03907	+	30.3374i	−0.247061	+	1.48741i
$417$	10.6662	−	35.1832i	0.522325	−	1.72293i
$418$	−4.09710	−	3.45450i	−0.200396	−	0.168965i
$419$	7.47066	+	37.5576i	0.364966	+	1.83481i	0.529341	+	0.848409i	$0.322439\pi$
$419$	7.47066	+	37.5576i	0.364966	+	1.83481i	−0.164375	+	0.986398i	$0.552561\pi$
$420$	28.7014	−	7.88544i	1.40049	−	0.384770i
$421$	6.20345	−	4.14501i	0.302338	−	0.202016i	−0.395142	−	0.918620i	$-0.629305\pi$
$421$	6.20345	−	4.14501i	0.302338	−	0.202016i	0.697480	+	0.716604i	$0.254305\pi$
$422$	−2.88487	+	5.22891i	−0.140433	+	0.254540i
$423$	−20.4782	+	13.6931i	−0.995682	+	0.665783i
$424$	−7.54738	+	0.440667i	−0.366533	+	0.0214007i
$425$	26.9540	−	11.1647i	1.30746	−	0.541569i
$426$	1.53369	−	3.56952i	0.0743077	−	0.172944i
$427$	−5.34387	+	26.8654i	−0.258608	+	1.30011i
$428$	−25.5251	−	0.678347i	−1.23380	−	0.0327891i
$429$	4.47007	−	3.66976i	0.215817	−	0.177178i
$430$	−12.2230	−	23.6171i	−0.589447	−	1.13892i
$431$	−11.6262	+	11.6262i	−0.560015	+	0.560015i	−0.929312	−	0.369296i	$-0.879599\pi$
$431$	−11.6262	+	11.6262i	−0.560015	+	0.560015i	0.369296	+	0.929312i	$0.379599\pi$
$432$	−0.946313	−	20.7631i	−0.0455295	−	0.998963i
$433$	−22.3988	−	22.3988i	−1.07642	−	1.07642i	−0.996828	−	0.0795883i	$-0.974639\pi$
$433$	−22.3988	−	22.3988i	−1.07642	−	1.07642i	−0.0795883	−	0.996828i	$-0.525361\pi$
$434$	2.34653	−	7.38103i	0.112637	−	0.354301i
$435$	−24.8585	−	30.2797i	−1.19187	−	1.45180i
$436$	14.2527	+	6.35237i	0.682582	+	0.304224i
$437$	−32.3896	−	6.44269i	−1.54940	−	0.308196i
$438$	−7.28322	−	18.2569i	−0.348006	−	0.872346i
$439$	−10.4289	−	25.1776i	−0.497744	−	1.20166i	−0.950696	−	0.310125i	$-0.899629\pi$
$439$	−10.4289	−	25.1776i	−0.497744	−	1.20166i	0.452952	−	0.891535i	$-0.350371\pi$
$440$	3.66019	+	4.84113i	0.174493	+	0.230792i
$441$	−1.58527	−	2.37078i	−0.0754890	−	0.112894i
$442$	−29.9105	+	8.64105i	−1.42270	+	0.411013i
$443$	−15.9395	−	23.8551i	−0.757308	−	1.13339i	−0.987093	−	0.160150i	$-0.948802\pi$
$443$	−15.9395	−	23.8551i	−0.757308	−	1.13339i	0.229785	−	0.973241i	$-0.426198\pi$
$444$	−5.00245	−	6.43464i	−0.237406	−	0.305374i
$445$	2.87224	−	0.571325i	0.136157	−	0.0270834i
$446$	−14.3359	+	1.21991i	−0.678824	+	0.0577642i
$447$	−27.5752	−	8.35974i	−1.30426	−	0.395402i
$448$	−2.28987	−	19.5426i	−0.108186	−	0.923303i
$449$		−	36.9315i		−	1.74290i	−0.490481	−	0.871452i	$-0.663179\pi$
$449$		−	36.9315i		−	1.74290i	0.490481	−	0.871452i	$-0.336821\pi$
$450$	14.7566	−	26.7682i	0.695632	−	1.26187i
$451$	0.249843	+	1.25605i	0.0117647	+	0.0591449i
$452$	−13.7328	+	19.4153i	−0.645934	+	0.913221i
$453$	3.13108	+	10.3155i	0.147111	+	0.484664i
$454$	1.67253	+	5.78937i	0.0784958	+	0.271709i
$455$	−43.1562	−	17.8759i	−2.02319	−	0.838034i
$456$	27.4433	+	12.6653i	1.28515	+	0.593108i
$457$	−2.70324	+	1.11972i	−0.126452	+	0.0523781i	−0.445012	−	0.895524i	$-0.646801\pi$
$457$	−2.70324	+	1.11972i	−0.126452	+	0.0523781i	0.318560	+	0.947903i	$0.396801\pi$
$458$	−6.54763	+	5.22950i	−0.305951	+	0.244358i
$459$	18.5522	−	9.92853i	0.865944	−	0.463424i
$460$	34.1600	+	15.2249i	1.59272	+	0.709867i
$461$	−18.5126	−	12.3697i	−0.862220	−	0.576117i	0.0439489	−	0.999034i	$-0.486006\pi$
$461$	−18.5126	−	12.3697i	−0.862220	−	0.576117i	−0.906168	+	0.422917i	$0.861006\pi$
$462$	−2.09599	+	3.04952i	−0.0975144	+	0.141877i
$463$	1.41691	−	1.41691i	0.0658494	−	0.0658494i	−0.673415	−	0.739265i	$-0.735173\pi$
$463$	1.41691	−	1.41691i	0.0658494	−	0.0658494i	0.739265	+	0.673415i	$0.235173\pi$
$464$	−22.2672	+	13.2241i	−1.03373	+	0.613913i
$465$	−6.35332	−	11.8814i	−0.294628	−	0.550985i
$466$	1.81367	−	0.938668i	0.0840169	−	0.0434830i
$467$	8.53766	+	5.70468i	0.395076	+	0.263981i	0.737201	−	0.675673i	$-0.236147\pi$
$467$	8.53766	+	5.70468i	0.395076	+	0.263981i	−0.342126	+	0.939654i	$0.611147\pi$
$468$	−18.8269	+	26.6367i	−0.870275	+	1.23128i
$469$	−7.34718	−	1.46145i	−0.339261	−	0.0674833i
$470$	−4.51248	+	40.3176i	−0.208145	+	1.85971i
$471$	0.672816	−	0.0663820i	0.0310017	−	0.00305872i
$472$	14.8405	+	13.2031i	0.683090	+	0.607723i
$473$	3.05434	+	1.26515i	0.140439	+	0.0581716i
$474$	20.5138	+	21.0591i	0.942232	+	0.967276i
$475$	24.6947	+	36.9583i	1.13307	+	1.69576i
$476$	16.8509	−	10.6230i	0.772362	−	0.486904i
$477$	−7.40948	−	3.06616i	−0.339257	−	0.140390i
$478$	−10.2854	+	12.1987i	−0.470443	+	0.557954i
$479$			4.62647i			0.211389i	0.994399	+	0.105694i	$0.0337066\pi$
$479$			4.62647i			0.211389i	−0.994399	+	0.105694i	$0.966293\pi$
$480$	−27.1391	−	20.8592i	−1.23872	−	0.952089i
$481$			12.7909i			0.583215i
$482$	−17.6333	−	14.8676i	−0.803173	−	0.677202i
$483$	−2.23121	+	22.6933i	−0.101523	+	1.03258i
$484$	20.7198	+	4.69690i	0.941809	+	0.213495i
$485$	8.62140	+	12.9028i	0.391478	+	0.585888i
$486$	8.68904	−	20.2608i	0.394143	−	0.919049i
$487$	28.9582	+	11.9949i	1.31222	+	0.543540i	0.925531	−	0.378671i	$-0.123619\pi$
$487$	28.9582	+	11.9949i	1.31222	+	0.543540i	0.386689	+	0.922210i	$0.373619\pi$
$488$	28.3501	−	13.7303i	1.28335	−	0.621543i
$489$	−0.165972	−	1.68221i	−0.00750550	−	0.0760722i
$490$	−4.66761	−	0.522415i	−0.210861	−	0.0236003i
$491$	37.8252	+	7.52390i	1.70703	+	0.339549i	0.949622	−	0.313397i	$-0.101467\pi$
$491$	37.8252	+	7.52390i	1.70703	+	0.339549i	0.757404	+	0.652946i	$0.226467\pi$
$492$	−3.23548	−	6.45761i	−0.145867	−	0.291132i
$493$	−21.7999	−	14.5662i	−0.981818	−	0.656030i
$494$	−21.8024	−	42.1261i	−0.980937	−	1.89534i
$495$	1.25798	+	6.31310i	0.0565421	+	0.283753i
$496$	−8.39810	+	2.96656i	−0.377086	+	0.133203i
$497$	2.75843	−	2.75843i	0.123732	−	0.123732i
$498$	−4.51899	+	6.57482i	−0.202501	+	0.294625i
$499$	−4.53023	−	3.02700i	−0.202801	−	0.135507i	0.450023	−	0.893017i	$-0.351416\pi$
$499$	−4.53023	−	3.02700i	−0.202801	−	0.135507i	−0.652824	+	0.757510i	$0.726416\pi$
$500$	−5.51436	−	14.3822i	−0.246610	−	0.643189i
$501$	5.58833	+	2.98580i	0.249668	+	0.133396i
$502$	19.3379	+	24.2122i	0.863094	+	1.08064i
$503$	30.0123	−	12.4315i	1.33818	−	0.554294i	0.405205	−	0.914226i	$-0.367200\pi$
$503$	30.0123	−	12.4315i	1.33818	−	0.554294i	0.932979	+	0.359932i	$0.117200\pi$
$504$	6.84243	−	19.7163i	0.304786	−	0.878236i
$505$	−29.8331	−	12.3573i	−1.32755	−	0.549891i
$506$	−4.46680	+	1.29044i	−0.198573	+	0.0573672i
$507$	27.4373	−	8.32811i	1.21854	−	0.369865i
$508$	−3.46973	−	20.2399i	−0.153944	−	0.897999i
$509$	5.29621	+	26.6259i	0.234751	+	1.18017i	0.900790	+	0.434254i	$0.142988\pi$
$509$	5.29621	+	26.6259i	0.234751	+	1.18017i	−0.666040	+	0.745916i	$0.732012\pi$
$510$	7.20558	−	33.8954i	0.319068	−	1.50091i
$511$		−	19.7367i		−	0.873098i
$512$	−16.3385	+	15.6542i	−0.722067	+	0.691823i
$513$	20.3502	+	24.7711i	0.898485	+	1.09367i
$514$	−3.68817	−	43.3420i	−0.162678	−	1.91173i
$515$	10.7363	−	2.13558i	0.473098	−	0.0941050i
$516$	−18.5011	−	2.31676i	−0.814467	−	0.101990i
$517$	−2.80206	−	4.19357i	−0.123234	−	0.184433i
$518$	−2.27140	−	7.86233i	−0.0997997	−	0.345451i
$519$	−15.1978	−	12.4682i	−0.667111	−	0.547294i
$520$	13.5329	+	51.9852i	0.593458	+	2.27970i
$521$	−0.731080	−	1.76498i	−0.0320292	−	0.0773254i	0.907056	−	0.421011i	$-0.138325\pi$
$521$	−0.731080	−	1.76498i	−0.0320292	−	0.0773254i	−0.939085	+	0.343686i	$0.888325\pi$
$522$	−27.3692	+	2.33833i	−1.19792	+	0.102346i
$523$	36.9977	+	7.35930i	1.61780	+	0.321800i	0.919223	−	0.393738i	$-0.128818\pi$
$523$	36.9977	+	7.35930i	1.61780	+	0.321800i	0.698574	+	0.715538i	$0.253818\pi$
$524$	21.4220	−	8.21358i	0.935826	−	0.358812i
$525$	23.7217	−	19.4746i	1.03530	−	0.849942i
$526$	15.0759	+	4.79282i	0.657339	+	0.208977i
$527$	−6.37592	−	6.37592i	−0.277739	−	0.277739i
$528$	4.25102	−	0.192301i	0.185002	−	0.00836883i
$529$	−3.99606	+	3.99606i	−0.173742	+	0.173742i
$530$	−11.7282	+	6.06992i	−0.509439	+	0.263660i
$531$	8.06919	+	19.4621i	0.350173	+	0.844581i
$532$	20.8823	+	22.0225i	0.905361	+	0.954796i
$533$	−2.21138	+	11.1174i	−0.0957857	+	0.481547i
$534$	0.810593	−	1.88658i	0.0350778	−	0.0816401i
$535$	−41.2066	+	17.0683i	−1.78152	+	0.737928i
$536$	3.75498	+	7.75321i	0.162191	+	0.334888i
$537$	−4.82314	−	3.95688i	−0.208134	−	0.170752i
$538$	−35.8657	−	19.7876i	−1.54628	−	0.853105i
$539$	0.485495	−	0.324397i	0.0209117	−	0.0139728i
$540$	−16.2742	−	32.4537i	−0.700329	−	1.39658i
$541$	3.63705	+	18.2847i	0.156369	+	0.786120i	0.976763	+	0.214322i	$0.0687540\pi$
$541$	3.63705	+	18.2847i	0.156369	+	0.786120i	−0.820394	+	0.571798i	$0.806246\pi$
$542$	−11.3806	+	13.4976i	−0.488838	+	0.579771i
$543$	25.9409	+	7.86427i	1.11323	+	0.337488i
$544$	−21.4314	−	8.09004i	−0.918864	−	0.346858i
$545$	27.2567			1.16755
$546$	−27.4689	+	17.8375i	−1.17556	+	0.763375i
$547$	33.5663	−	6.67676i	1.43519	−	0.285477i	0.584608	−	0.811316i	$-0.301248\pi$
$547$	33.5663	−	6.67676i	1.43519	−	0.285477i	0.850584	+	0.525839i	$0.176248\pi$
$548$	8.51615	+	13.5089i	0.363792	+	0.577073i
$549$	33.4108	−	0.0113458i	1.42594	−	0.000484229i
$550$	5.47940	+	3.02307i	0.233643	+	0.128904i
$551$	15.2864	−	36.9046i	0.651222	−	1.57219i
$552$	22.3642	−	13.6921i	0.951884	−	0.582773i
$553$	11.2967	+	27.2726i	0.480384	+	1.15975i
$554$	34.6269	+	3.87556i	1.47115	+	0.164657i
$555$	−12.5568	−	6.70901i	−0.533007	−	0.284782i
$556$	−42.4370	−	1.12779i	−1.79973	−	0.0478290i
$557$	−4.76303	+	7.12838i	−0.201816	+	0.302039i	−0.918548	−	0.395310i	$-0.870637\pi$
$557$	−4.76303	+	7.12838i	−0.201816	+	0.302039i	0.716732	+	0.697349i	$0.245637\pi$
$558$	−9.38867	−	1.04758i	−0.397454	−	0.0443478i
$559$	20.6911	+	20.6911i	0.875141	+	0.875141i
$560$	−17.5499	−	29.5512i	−0.741620	−	1.24876i
$561$	2.03144	+	3.79900i	0.0857674	+	0.160394i
$562$	37.8256	+	12.0253i	1.59558	+	0.507256i
$563$	−14.0689	+	21.0556i	−0.592934	+	0.887388i	−0.999658	−	0.0261630i	$-0.991671\pi$
$563$	−14.0689	+	21.0556i	−0.592934	+	0.887388i	0.406724	+	0.913551i	$0.366671\pi$
$564$	21.5046	+	18.6197i	0.905508	+	0.784032i
$565$	−8.10400	+	40.7416i	−0.340938	+	1.71401i
$566$	7.69368	+	9.63293i	0.323389	+	0.404902i
$567$	15.6418	−	15.6631i	0.656894	−	0.657787i
$568$	−4.44342	−	0.617245i	−0.186442	−	0.0258990i
$569$	1.61886	−	3.90827i	0.0678662	−	0.163843i	−0.886307	−	0.463098i	$-0.846738\pi$
$569$	1.61886	−	3.90827i	0.0678662	−	0.163843i	0.954173	+	0.299254i	$0.0967379\pi$
$570$	52.7908	+	0.692387i	2.21116	+	0.0290009i
$571$	−38.8066	+	25.9298i	−1.62401	+	1.08513i	−0.692491	+	0.721426i	$0.743487\pi$
$571$	−38.8066	+	25.9298i	−1.62401	+	1.08513i	−0.931516	+	0.363701i	$0.881513\pi$
$572$	−5.45218	−	3.85641i	−0.227967	−	0.161244i
$573$	0.465160	−	4.73108i	0.0194323	−	0.197644i
$574$	−0.614922	−	7.22634i	−0.0256664	−	0.301622i
$575$	38.5636			1.60821
$576$	−22.8315	+	7.39748i	−0.951312	+	0.308229i
$577$	23.8499			0.992883			0.496442	−	0.868070i	$-0.334640\pi$
$577$	23.8499			0.992883			0.496442	+	0.868070i	$0.334640\pi$
$578$	0.0721188	+	0.847514i	0.00299975	+	0.0352519i
$579$	2.86644	−	29.1542i	0.119125	−	1.21161i
$580$	−26.1228	+	36.9324i	−1.08469	+	1.53354i
$581$	−6.66074	+	4.45056i	−0.276334	+	0.184641i
$582$	10.8797	+	0.142695i	0.450978	+	0.00591488i
$583$	0.628269	−	1.51678i	0.0260202	−	0.0628184i
$584$	−18.1046	+	13.6882i	−0.749174	+	0.566422i
$585$	−11.0966	+	55.8853i	−0.458786	+	2.31057i
$586$	15.0656	+	18.8630i	0.622352	+	0.779221i
$587$	5.10964	−	25.6879i	0.210898	−	1.06025i	−0.719721	−	0.694263i	$-0.755730\pi$
$587$	5.10964	−	25.6879i	0.210898	−	1.06025i	0.930619	−	0.365990i	$-0.119270\pi$
$588$	−2.15563	+	2.48961i	−0.0888966	+	0.102670i
$589$	7.63226	−	11.4225i	0.314482	−	0.470655i
$590$	33.0660	+	10.5121i	1.36131	+	0.432777i
$591$	22.1459	+	41.4151i	0.910961	+	1.70359i
$592$	−5.63687	+	7.53643i	−0.231674	+	0.309746i
$593$	−6.62127	−	6.62127i	−0.271903	−	0.271903i	0.557963	−	0.829866i	$-0.311583\pi$
$593$	−6.62127	−	6.62127i	−0.271903	−	0.271903i	−0.829866	+	0.557963i	$0.811583\pi$
$594$	4.14752	+	1.78037i	0.170175	+	0.0730494i
$595$	19.3311	−	28.9310i	0.792498	−	1.18606i
$596$	−0.883919	+	33.2604i	−0.0362067	+	1.36240i
$597$	−18.4741	−	9.87056i	−0.756093	−	0.403975i
$598$	−40.8975	−	4.57738i	−1.67242	−	0.187183i
$599$	−0.619193	−	1.49486i	−0.0252995	−	0.0610785i	0.910725	−	0.413014i	$-0.135524\pi$
$599$	−0.619193	−	1.49486i	−0.0252995	−	0.0610785i	−0.936024	+	0.351935i	$0.885524\pi$
$600$	−34.3162	−	8.25365i	−1.40095	−	0.336954i
$601$	5.47980	−	13.2294i	0.223526	−	0.539638i	−0.771838	−	0.635819i	$-0.780663\pi$
$601$	5.47980	−	13.2294i	0.223526	−	0.539638i	0.995364	+	0.0961804i	$0.0306626\pi$
$602$	−16.3928	−	9.04412i	−0.668119	−	0.368611i
$603$	0.00310287	+	9.13721i	0.000126359	+	0.372096i
$604$	10.5301	−	6.63829i	0.428465	−	0.270108i
$605$	36.3975	−	7.23991i	1.47977	−	0.294344i
$606$	−18.9887	+	12.3307i	−0.771364	+	0.500902i
$607$	29.8939			1.21336			0.606678	−	0.794948i	$-0.292502\pi$
$607$	29.8939			1.21336			0.606678	+	0.794948i	$0.292502\pi$
$608$	5.71870	−	34.4290i	0.231924	−	1.39628i
$609$	−26.3954	−	8.00205i	−1.06959	−	0.324259i
$610$	35.4679	−	42.0656i	1.43605	−	1.70319i
$611$	−8.70904	−	43.7833i	−0.352330	−	1.77128i
$612$	−16.7241	−	17.6253i	−0.676033	−	0.712461i
$613$	−40.3756	+	26.9781i	−1.63076	+	1.08964i	−0.706608	+	0.707606i	$0.749775\pi$
$613$	−40.3756	+	26.9781i	−1.63076	+	1.08964i	−0.924149	+	0.382031i	$0.875225\pi$
$614$	−19.7244	−	10.8823i	−0.796014	−	0.439172i
$615$	−9.75401	−	8.00214i	−0.393320	−	0.322677i
$616$	4.03617	+	1.40226i	0.162622	+	0.0564989i
$617$	12.4741	−	5.16696i	0.502190	−	0.208014i	−0.117184	−	0.993110i	$-0.537387\pi$
$617$	12.4741	−	5.16696i	0.502190	−	0.208014i	0.619374	+	0.785096i	$0.287387\pi$
$618$	3.02995	−	7.05192i	0.121883	−	0.283670i
$619$	2.74740	−	13.8121i	0.110427	−	0.555155i	−0.885473	−	0.464692i	$-0.846165\pi$
$619$	2.74740	−	13.8121i	0.110427	−	0.555155i	0.995900	−	0.0904633i	$-0.0288348\pi$
$620$	−11.2893	+	10.7048i	−0.453390	+	0.429916i
$621$	27.6781	−	2.74029i	1.11068	−	0.109964i
$622$	15.5866	−	8.06688i	0.624968	−	0.323452i
$623$	1.45789	−	1.45789i	0.0584093	−	0.0584093i
$624$	35.4133	+	12.8264i	1.41767	+	0.513466i
$625$	6.44695	+	6.44695i	0.257878	+	0.257878i
$626$	−33.3403	−	10.5993i	−1.33255	−	0.423635i
$627$	−5.07295	+	4.16471i	−0.202594	+	0.166322i
$628$	−0.279485	−	0.728931i	−0.0111526	−	0.0290875i
$629$	−9.34470	−	1.85878i	−0.372598	−	0.0741143i
$630$	−3.10324	−	36.3222i	−0.123636	−	1.44711i
$631$	−3.93765	−	9.50633i	−0.156755	−	0.378441i	0.825917	−	0.563792i	$-0.190658\pi$
$631$	−3.93765	−	9.50633i	−0.156755	−	0.378441i	−0.982672	+	0.185351i	$0.940658\pi$
$632$	17.1827	−	29.2773i	0.683491	−	1.16459i
$633$	5.65466	+	4.63905i	0.224753	+	0.184386i
$634$	7.24275	+	25.0704i	0.287647	+	0.995672i
$635$	−19.9281	−	29.8246i	−0.790824	−	1.18355i
$636$	−1.15050	+	9.18760i	−0.0456202	+	0.364312i
$637$	5.06884	−	1.00826i	0.200835	−	0.0399485i
$638$	−0.476839	−	5.60363i	−0.0188782	−	0.221850i
$639$	−3.95720	−	2.64218i	−0.156545	−	0.104523i
$640$	−14.9359	+	36.5937i	−0.590394	+	1.44649i
$641$		−	33.0221i		−	1.30430i	−0.758092	−	0.652148i	$-0.773868\pi$
$641$		−	33.0221i		−	1.30430i	0.758092	−	0.652148i	$-0.226132\pi$
$642$	−6.50273	+	30.5892i	−0.256642	+	1.20726i
$643$	−3.10010	−	15.5853i	−0.122256	−	0.614622i	−0.992525	−	0.122045i	$-0.961055\pi$
$643$	−3.10010	−	15.5853i	−0.122256	−	0.614622i	0.870269	−	0.492577i	$-0.163945\pi$
$644$	25.9517	−	4.44892i	1.02264	−	0.175312i
$645$	−31.1652	+	9.45964i	−1.22713	+	0.372473i
$646$	33.9446	−	9.80649i	1.33553	−	0.385831i
$647$	43.4824	+	18.0110i	1.70947	+	0.708085i	0.999994	+	0.00335257i	$0.00106716\pi$
$647$	43.4824	+	18.0110i	1.70947	+	0.708085i	0.709473	+	0.704732i	$0.248933\pi$
$648$	−25.2161	−	3.48537i	−0.990582	−	0.136918i
$649$	−3.98515	+	1.65070i	−0.156431	+	0.0647957i
$650$	34.5673	+	43.2803i	1.35584	+	1.69759i
$651$	−8.36641	−	4.47011i	−0.327905	−	0.175197i
$652$	−1.82251	+	0.698782i	−0.0713750	+	0.0273664i
$653$	−7.15758	−	4.78254i	−0.280098	−	0.187155i	0.407584	−	0.913168i	$-0.366371\pi$
$653$	−7.15758	−	4.78254i	−0.280098	−	0.187155i	−0.687681	+	0.726013i	$0.741371\pi$
$654$	10.8251	−	15.7498i	0.423295	−	0.615866i
$655$	28.3374	−	28.3374i	1.10723	−	1.10723i
$656$	−6.20231	+	5.57585i	−0.242160	+	0.217700i
$657$	−23.6094	+	4.70454i	−0.921091	+	0.183542i
$658$	13.1283	+	25.3662i	0.511794	+	0.988878i
$659$	−1.87470	−	1.25264i	−0.0730281	−	0.0487958i	0.518520	−	0.855065i	$-0.326483\pi$
$659$	−1.87470	−	1.25264i	−0.0730281	−	0.0487958i	−0.591548	+	0.806270i	$0.701483\pi$
$660$	6.64557	−	3.32966i	0.258679	−	0.129607i
$661$	−10.9041	−	2.16895i	−0.424119	−	0.0843625i	−0.0215837	−	0.999767i	$-0.506871\pi$
$661$	−10.9041	−	2.16895i	−0.424119	−	0.0843625i	−0.402535	+	0.915405i	$0.631871\pi$
$662$	1.84611	+	0.206623i	0.0717513	+	0.00803064i
$663$	3.74392	+	37.9466i	0.145402	+	1.47372i
$664$	8.70205	+	3.02330i	0.337705	+	0.117327i
$665$	48.9767	+	20.2868i	1.89924	+	0.786689i
$666$	−8.86366	+	4.59121i	−0.343460	+	0.177906i
$667$	−19.2538	−	28.8153i	−0.745510	−	1.11573i
$668$	1.61743	−	7.13511i	0.0625803	−	0.276066i
$669$	−1.72421	+	17.5367i	−0.0666618	+	0.678008i
$670$	11.5041	+	9.69980i	0.444444	+	0.374736i
$671$			6.84040i			0.264071i
$672$	−24.0456	−	1.59545i	−0.927580	−	0.0615458i
$673$		−	36.9736i		−	1.42523i	−0.701557	−	0.712613i	$-0.747512\pi$
$673$		−	36.9736i		−	1.42523i	0.701557	−	0.712613i	$-0.252488\pi$
$674$	−9.94858	+	11.7992i	−0.383205	+	0.454488i
$675$	−28.9504	−	23.7343i	−1.11430	−	0.913534i
$676$	−17.6567	−	28.0083i	−0.679102	−	1.07724i
$677$	−1.40771	−	2.10679i	−0.0541028	−	0.0809705i	0.803432	−	0.595397i	$-0.203005\pi$
$677$	−1.40771	−	2.10679i	−0.0541028	−	0.0809705i	−0.857535	+	0.514426i	$0.828005\pi$
$678$	20.3232	+	20.8634i	0.780509	+	0.801255i
$679$	10.0936	+	4.18092i	0.387358	+	0.160449i
$680$	−39.9456	+	2.33230i	−1.53185	+	0.0894396i
$681$	7.34481	−	0.724659i	0.281454	−	0.0277690i
$682$	0.215131	−	1.92213i	0.00823780	−	0.0736021i
$683$	−22.4809	−	4.47173i	−0.860207	−	0.171106i	−0.254773	−	0.967001i	$-0.582001\pi$
$683$	−22.4809	−	4.47173i	−0.860207	−	0.171106i	−0.605435	+	0.795895i	$0.707001\pi$
$684$	21.3662	−	30.2292i	0.816956	−	1.15584i
$685$	23.1932	+	15.4972i	0.886167	+	0.592118i
$686$	−24.5605	+	12.7113i	−0.937723	+	0.485319i
$687$	4.83947	+	9.05032i	0.184637	+	0.345291i
$688$	3.07281	+	21.3097i	0.117150	+	0.812425i
$689$	10.2751	−	10.2751i	0.391451	−	0.391451i
$690$	25.9449	−	37.7480i	0.987705	−	1.43704i
$691$	−31.3464	−	20.9450i	−1.19247	−	0.796786i	−0.209014	−	0.977913i	$-0.567026\pi$
$691$	−31.3464	−	20.9450i	−1.19247	−	0.796786i	−0.983460	+	0.181127i	$0.942026\pi$
$692$	−9.24056	+	20.7329i	−0.351273	+	0.788146i
$693$	3.20571	+	3.20353i	0.121775	+	0.121692i
$694$	−33.6888	+	26.9067i	−1.27881	+	1.02137i
$695$	−68.5084	+	28.3771i	−2.59867	+	1.07640i
$696$	10.9659	+	29.7625i	0.415663	+	1.12814i
$697$	−7.80071	−	3.23116i	−0.295473	−	0.122389i
$698$	−5.47144	−	18.9391i	−0.207097	−	0.716855i
$699$	−0.726453	−	2.39333i	−0.0274770	−	0.0905241i
$700$	−28.9336	−	20.4651i	−1.09359	−	0.773509i
$701$	−3.74436	−	18.8242i	−0.141422	−	0.710979i	−0.984805	−	0.173665i	$-0.944439\pi$
$701$	−3.74436	−	18.8242i	−0.141422	−	0.710979i	0.843382	−	0.537314i	$-0.180561\pi$
$702$	27.8853	+	28.6070i	1.05246	+	1.07970i
$703$		−	14.5160i		−	0.547483i
$704$	−1.51295	−	4.67495i	−0.0570213	−	0.176194i
$705$	47.5500	+	14.4153i	1.79084	+	0.542912i
$706$	29.8979	−	2.54415i	1.12522	−	0.0957503i
$707$	−22.2972	+	4.43518i	−0.838572	+	0.166802i
$708$	19.2065	−	14.9316i	0.721825	−	0.561166i
$709$	−20.7550	−	31.0621i	−0.779471	−	1.16656i	−0.982294	−	0.187345i	$-0.940012\pi$
$709$	−20.7550	−	31.0621i	−0.779471	−	1.16656i	0.202823	−	0.979215i	$-0.434988\pi$
$710$	−7.52820	+	2.17487i	−0.282528	+	0.0816216i
$711$	29.9314	−	20.0142i	1.12251	−	0.750591i
$712$	−2.34845	−	0.326228i	−0.0880119	−	0.0122259i
$713$	−4.56107	−	11.0114i	−0.170813	−	0.412380i
$714$	−9.03984	−	22.6602i	−0.338308	−	0.848036i
$715$	−11.4410	−	2.27575i	−0.427868	−	0.0851083i
$716$	−2.93255	+	6.57973i	−0.109595	+	0.245896i
$717$	12.4000	+	15.1042i	0.463086	+	0.564076i
$718$	−1.70916	+	5.37620i	−0.0637855	+	0.200638i
$719$	−12.4320	−	12.4320i	−0.463634	−	0.463634i	0.436211	−	0.899845i	$-0.356320\pi$
$719$	−12.4320	−	12.4320i	−0.463634	−	0.463634i	−0.899845	+	0.436211i	$0.856320\pi$
$720$	−31.1664	+	28.0376i	−1.16150	+	1.04490i
$721$	5.44953	−	5.44953i	0.202951	−	0.202951i
$722$	12.3924	+	23.9443i	0.461197	+	0.891116i
$723$	−21.8332	+	17.9242i	−0.811985	+	0.666610i
$724$	0.831531	−	31.2891i	0.0309036	−	1.16285i
$725$	−9.10012	+	45.7494i	−0.337970	+	1.69909i
$726$	10.2720	−	23.9070i	0.381228	−	0.887271i
$727$	−16.6882	+	6.91247i	−0.618930	+	0.256369i	−0.670041	−	0.742324i	$-0.733724\pi$
$727$	−16.6882	+	6.91247i	−0.618930	+	0.256369i	0.0511113	+	0.998693i	$0.483724\pi$
$728$	28.2555	+	25.1380i	1.04722	+	0.931675i
$729$	−22.4649	−	14.9775i	−0.832035	−	0.554723i
$730$	−19.1516	+	34.7129i	−0.708834	+	1.28478i
$731$	−18.1232	+	12.1095i	−0.670311	+	0.447888i
$732$	−10.2206	−	37.2010i	−0.377765	−	1.37499i
$733$	1.85244	+	9.31286i	0.0684216	+	0.343978i	0.999798	−	0.0200781i	$-0.00639148\pi$
$733$	1.85244	+	9.31286i	0.0684216	+	0.343978i	−0.931377	+	0.364057i	$0.881391\pi$
$734$	−2.01344	−	1.69765i	−0.0743174	−	0.0626613i
$735$	−1.66888	+	5.50492i	−0.0615575	+	0.203052i
$736$	−22.0797	−	20.7203i	−0.813867	−	0.763759i
$737$	−1.87072			−0.0689088
$738$	−8.49773	+	2.45809i	−0.312806	+	0.0904837i
$739$	7.72417	−	1.53643i	0.284138	−	0.0565186i	−0.0509636	−	0.998701i	$-0.516229\pi$
$739$	7.72417	−	1.53643i	0.284138	−	0.0565186i	0.335102	+	0.942182i	$0.391229\pi$
$740$	−3.63432	+	16.0324i	−0.133600	+	0.589362i
$741$	−55.5898	+	16.8733i	−2.04214	+	0.619856i
$742$	−4.49128	+	8.14059i	−0.164880	+	0.298850i
$743$	−4.16647	+	10.0588i	−0.152853	+	0.369020i	−0.981694	−	0.190464i	$-0.939001\pi$
$743$	−4.16647	+	10.0588i	−0.152853	+	0.369020i	0.828841	+	0.559484i	$0.189001\pi$
$744$	1.70198	+	10.7748i	0.0623977	+	0.395023i
$745$	22.2409	+	53.6942i	0.814842	+	1.96720i
$746$	−1.63992	+	14.6522i	−0.0600417	+	0.536454i
$747$	6.91155	+	6.90686i	0.252880	+	0.252709i
$748$	3.60970	−	3.42281i	0.131984	−	0.125150i
$749$	−17.4455	+	26.1091i	−0.637445	+	0.954004i
$750$	−18.5490	+	3.43738i	−0.677315	+	0.125515i
$751$	−10.2840	−	10.2840i	−0.375269	−	0.375269i	0.494123	−	0.869392i	$-0.335489\pi$
$751$	−10.2840	−	10.2840i	−0.375269	−	0.375269i	−0.869392	+	0.494123i	$0.835489\pi$
$752$	14.1636	−	29.6353i	0.516495	−	1.08069i
$753$	33.4668	−	17.8957i	1.21960	−	0.652154i
$754$	15.0812	−	47.4379i	0.549223	−	1.72759i
$755$	12.0800	−	18.0790i	0.439636	−	0.657961i
$756$	−22.2206	−	12.6323i	−0.808154	−	0.459434i
$757$	−0.402784	+	2.02493i	−0.0146394	+	0.0735974i	−0.987414	−	0.158154i	$-0.949446\pi$
$757$	−0.402784	+	2.02493i	−0.0146394	+	0.0735974i	0.972775	+	0.231752i	$0.0744457\pi$
$758$	3.68456	−	2.94280i	0.133829	−	0.106887i
$759$	0.559112	+	5.66689i	0.0202945	+	0.205695i
$760$	−15.3581	−	58.9966i	−0.557098	−	2.14003i
$761$	9.61299	−	23.2078i	0.348471	−	0.841282i	−0.648330	−	0.761359i	$-0.724532\pi$
$761$	9.61299	−	23.2078i	0.348471	−	0.841282i	0.996801	−	0.0799232i	$-0.0254675\pi$
$762$	−25.1481	−	0.329835i	−0.911020	−	0.0119486i
$763$	15.9556	−	10.6612i	0.577632	−	0.385962i
$764$	−5.41040	+	0.927507i	−0.195741	+	0.0335560i
$765$	−39.2158	−	16.2281i	−1.41785	−	0.586729i
$766$	−24.2105	+	2.06018i	−0.874761	+	0.0744374i
$767$	−38.1791			−1.37857
$768$	15.2131	+	23.1638i	0.548957	+	0.835851i
$769$	−30.9416			−1.11578			−0.557892	−	0.829913i	$-0.688390\pi$
$769$	−30.9416			−1.11578			−0.557892	+	0.829913i	$0.688390\pi$
$770$	7.43668	−	0.632821i	0.267999	−	0.0228053i
$771$	−53.0191	−	5.21284i	−1.90944	−	0.187736i
$772$	−33.3404	+	5.71555i	−1.19995	+	0.205707i
$773$	4.67105	−	3.12110i	0.168006	−	0.112258i	−0.468725	−	0.883344i	$-0.655286\pi$
$773$	4.67105	−	3.12110i	0.168006	−	0.112258i	0.636731	+	0.771086i	$0.280286\pi$
$774$	−6.91130	+	21.7652i	−0.248422	+	0.782333i
$775$	−6.13904	+	14.8209i	−0.220521	+	0.532384i
$776$	−3.16517	−	12.1586i	−0.113623	−	0.436470i
$777$	−9.97470	+	0.984132i	−0.357840	+	0.0353056i
$778$	−21.7882	+	17.4019i	−0.781145	+	0.623889i
$779$	2.50964	−	12.6168i	0.0899171	−	0.452044i
$780$	65.6212	−	4.71807i	2.34962	−	0.168934i
$781$	0.541224	−	0.809999i	0.0193665	−	0.0289841i
$782$	9.28734	−	29.2134i	0.332115	−	1.04467i
$783$	−3.28048	+	33.4821i	−0.117235	+	1.19655i
$784$	3.43091	+	1.63974i	0.122532	+	0.0585622i
$785$	−0.964240	−	0.964240i	−0.0344152	−	0.0344152i
$786$	−5.11993	−	27.6285i	−0.182622	−	0.985478i
$787$	0.452063	−	0.676560i	0.0161143	−	0.0241168i	−0.823325	−	0.567570i	$-0.807884\pi$
$787$	0.452063	−	0.676560i	0.0161143	−	0.0241168i	0.839439	+	0.543453i	$0.182884\pi$
$788$	39.3515	−	37.3140i	1.40184	−	1.32926i
$789$	9.13027	−	17.0885i	0.325046	−	0.608367i
$790$	6.59554	−	58.9291i	0.234659	−	2.09660i
$791$	11.1917	+	27.0192i	0.397932	+	0.960693i
$792$	0.715335	−	5.16241i	0.0254183	−	0.183438i
$793$	−23.1696	+	55.9363i	−0.822776	+	1.98636i
$794$	2.31384	−	4.19392i	0.0821153	−	0.148837i
$795$	4.69762	+	15.4765i	0.166608	+	0.548896i
$796$	−5.34696	+	23.5875i	−0.189518	+	0.836035i
$797$	9.81550	−	1.95243i	0.347683	−	0.0691584i	−0.0181598	−	0.999835i	$-0.505781\pi$
$797$	9.81550	−	1.95243i	0.347683	−	0.0691584i	0.365843	+	0.930677i	$0.380781\pi$
$798$	31.1737	−	20.2433i	1.10354	−	0.716605i
$799$	33.2525			1.17639
$800$	1.29380	+	40.7345i	0.0457428	+	1.44018i
$801$	−2.09148	−	1.39645i	−0.0738986	−	0.0493412i
$802$	−8.93079	−	7.53006i	−0.315357	−	0.265896i
$803$	−0.961548	−	4.83403i	−0.0339323	−	0.170589i
$804$	10.1738	−	2.79514i	0.358801	−	0.0985770i
$805$	38.2413	−	25.5521i	1.34783	−	0.900591i
$806$	8.26977	−	14.9892i	0.291290	−	0.527973i
$807$	−31.8198	+	38.7859i	−1.12011	+	1.36533i
$808$	19.5325	+	17.3774i	0.687150	+	0.611335i
$809$	−27.3431	+	11.3259i	−0.961331	+	0.398197i	−0.807478	−	0.589897i	$-0.799168\pi$
$809$	−27.3431	+	11.3259i	−0.961331	+	0.398197i	−0.153853	+	0.988094i	$0.549168\pi$
$810$	−42.7097	+	12.3701i	−1.50066	+	0.434642i
$811$	−8.65239	+	43.4985i	−0.303827	+	1.52744i	0.463450	+	0.886123i	$0.346611\pi$
$811$	−8.65239	+	43.4985i	−0.303827	+	1.52744i	−0.767277	+	0.641316i	$0.778389\pi$
$812$	−0.846099	+	31.8373i	−0.0296922	+	1.11727i
$813$	13.7203	+	16.7125i	0.481192	+	0.586132i
$814$	−0.939370	−	1.81503i	−0.0329249	−	0.0636168i
$815$	−2.41084	+	2.41084i	−0.0844482	+	0.0844482i
$816$	−14.5169	+	24.0081i	−0.508193	+	0.840453i
$817$	−23.4818	−	23.4818i	−0.821523	−	0.821523i
$818$	0.0745857	−	0.234610i	0.00260783	−	0.00820295i
$819$	15.3633	+	37.0546i	0.536836	+	1.29479i
$820$	−5.93061	+	13.3064i	−0.207106	+	0.464680i
$821$	21.3569	+	4.24815i	0.745360	+	0.148261i	0.553138	−	0.833090i	$-0.313430\pi$
$821$	21.3569	+	4.24815i	0.745360	+	0.148261i	0.192223	+	0.981351i	$0.438430\pi$
$822$	18.1660	−	7.24699i	0.633613	−	0.252768i
$823$	−5.42686	−	13.1016i	−0.189168	−	0.456693i	0.800632	−	0.599157i	$-0.204497\pi$
$823$	−5.42686	−	13.1016i	−0.189168	−	0.456693i	−0.989800	+	0.142464i	$0.954497\pi$
$824$	−8.77838	−	1.21943i	−0.305810	−	0.0424807i
$825$	4.86129	−	5.92554i	0.169248	−	0.206301i
$826$	23.4680	−	6.77983i	0.816556	−	0.235900i
$827$	26.0673	+	39.0125i	0.906448	+	1.35660i	0.934113	+	0.356979i	$0.116193\pi$
$827$	26.0673	+	39.0125i	0.906448	+	1.35660i	−0.0276640	+	0.999617i	$0.508807\pi$
$828$	−11.5079	−	29.9836i	−0.399927	−	1.04200i
$829$	21.9399	−	4.36412i	0.762005	−	0.151572i	0.201234	−	0.979543i	$-0.435505\pi$
$829$	21.9399	−	4.36412i	0.762005	−	0.151572i	0.560771	+	0.827971i	$0.310505\pi$
$830$	16.0336	−	1.36437i	0.556534	−	0.0473580i
$831$	12.3806	−	40.8385i	0.429480	−	1.41667i
$832$	3.46295	−	43.3532i	0.120056	−	1.50300i
$833$			3.84968i			0.133384i
$834$	−10.8112	+	50.8564i	−0.374361	+	1.76101i
$835$	−2.49315	−	12.5339i	−0.0862790	−	0.433754i
$836$	6.18753	+	4.37653i	0.214000	+	0.151365i
$837$	−3.35298	+	11.0736i	−0.115896	+	0.382759i
$838$	−15.0305	−	52.0274i	−0.519221	−	1.79726i
$839$	40.7087	+	16.8621i	1.40542	+	0.582145i	0.951153	−	0.308720i	$-0.0999007\pi$
$839$	40.7087	+	16.8621i	1.40542	+	0.582145i	0.454268	+	0.890865i	$0.349901\pi$
$840$	−39.4983	+	14.5531i	−1.36282	+	0.502129i
$841$	11.9356	−	4.94388i	0.411572	−	0.170479i
$842$	−8.24439	+	6.58467i	−0.284121	+	0.226923i
$843$	22.9080	−	42.8754i	0.788994	−	1.47671i
$844$	3.43814	−	7.71409i	0.118346	−	0.265530i
$845$	−48.0868	−	32.1306i	−1.65424	−	1.10533i
$846$	27.2143	−	21.7508i	0.935646	−	0.747807i
$847$	18.4746	−	18.4746i	0.634796	−	0.634796i
$848$	10.5823	−	1.52595i	0.363399	−	0.0524013i
$849$	13.3149	−	7.11987i	0.456966	−	0.244353i
$850$	−36.6428	+	18.9645i	−1.25684	+	0.650476i
$851$	−10.4715	−	6.99680i	−0.358957	−	0.239847i
$852$	−1.73314	+	5.21379i	−0.0593765	+	0.178622i
$853$	14.4514	+	2.87455i	0.494805	+	0.0984228i	0.436184	−	0.899857i	$-0.356330\pi$
$853$	14.4514	+	2.87455i	0.494805	+	0.0984228i	0.0586209	+	0.998280i	$0.481330\pi$
$854$	4.30876	−	38.4974i	0.147443	−	1.31736i
$855$	12.5932	−	63.4227i	0.430677	−	2.16901i
$856$	36.0493	−	2.10480i	1.23214	−	0.0719407i
$857$	18.5578	+	7.68691i	0.633924	+	0.262580i	0.676419	−	0.736517i	$-0.263531\pi$
$857$	18.5578	+	7.68691i	0.633924	+	0.262580i	−0.0424954	+	0.999097i	$0.513531\pi$
$858$	−5.85883	+	5.70713i	−0.200017	+	0.194838i
$859$	−6.79003	−	10.1620i	−0.231673	−	0.346723i	0.697359	−	0.716722i	$-0.254358\pi$
$859$	−6.79003	−	10.1620i	−0.231673	−	0.346723i	−0.929032	+	0.369999i	$0.879358\pi$
$860$	20.0556	+	31.8137i	0.683891	+	1.08484i
$861$	−8.83979	−	0.869128i	−0.301259	−	0.0296198i
$862$	14.9887	−	17.7768i	0.510516	−	0.605481i
$863$		−	16.9998i		−	0.578679i	−0.957227	−	0.289339i	$-0.906564\pi$
$863$		−	16.9998i		−	0.578679i	0.957227	−	0.289339i	$-0.0934356\pi$
$864$	3.82314	+	29.1442i	0.130066	+	0.991505i
$865$			39.6493i			1.34812i
$866$	34.2484	+	28.8768i	1.16381	+	0.981273i
$867$	1.03674	+	0.101932i	0.0352096	+	0.00346180i
$868$	−2.42149	+	10.6821i	−0.0821908	+	0.362575i
$869$	4.09555	+	6.12942i	0.138932	+	0.207926i
$870$	38.6594	+	39.6870i	1.31068	+	1.34552i
$871$	−15.2975	−	6.33643i	−0.518336	−	0.214702i
$872$	−20.8455	−	7.24224i	−0.705918	−	0.245253i
$873$	2.59533	−	13.0708i	0.0878388	−	0.442380i
$874$	46.4134	+	5.19474i	1.56996	+	0.175715i
$875$	−18.5783	−	3.69545i	−0.628060	−	0.124929i
$876$	12.4521	+	24.8528i	0.420717	+	0.839698i
$877$	24.3295	+	16.2565i	0.821550	+	0.548942i	0.893811	−	0.448444i	$-0.148021\pi$
$877$	24.3295	+	16.2565i	0.821550	+	0.548942i	−0.0722610	+	0.997386i	$0.523021\pi$
$878$	17.7146	+	34.2277i	0.597838	+	1.15513i
$879$	26.0729	−	13.9419i	0.879417	−	0.470250i
$880$	−5.73814	−	6.38285i	−0.193433	−	0.215166i
$881$	−3.88189	+	3.88189i	−0.130784	+	0.130784i	−0.769469	−	0.638684i	$-0.779479\pi$
$881$	−3.88189	+	3.88189i	−0.130784	+	0.130784i	0.638684	+	0.769469i	$0.279479\pi$
$882$	2.51811	+	3.15063i	0.0847893	+	0.106087i
$883$	−15.3782	−	10.2754i	−0.517518	−	0.345794i	0.269223	−	0.963078i	$-0.413233\pi$
$883$	−15.3782	−	10.2754i	−0.517518	−	0.345794i	−0.786741	+	0.617283i	$0.788233\pi$
$884$	41.1114	−	15.7628i	1.38273	−	0.530161i
$885$	20.0255	−	37.4804i	0.673149	−	1.25989i
$886$	25.3211	+	31.7035i	0.850679	+	1.06510i
$887$	−13.2668	+	5.49530i	−0.445456	+	0.184514i	−0.594124	−	0.804373i	$-0.702501\pi$
$887$	−13.2668	+	5.49530i	−0.445456	+	0.184514i	0.148668	+	0.988887i	$0.452501\pi$
$888$	7.82063	+	8.46735i	0.262443	+	0.284146i
$889$	−23.3312	−	9.66409i	−0.782503	−	0.324123i
$890$	−3.97883	+	1.14947i	−0.133371	+	0.0385304i
$891$	3.06800	−	4.59835i	0.102782	−	0.154050i
$892$	20.0547	−	3.43799i	0.671482	−	0.115112i
$893$	9.88365	+	49.6884i	0.330744	+	1.66276i
$894$	39.8592	+	8.47338i	1.33309	+	0.283392i
$895$			12.5830i			0.420603i
$896$	5.57003	+	27.2634i	0.186082	+	0.910805i
$897$	−14.6227	+	48.2339i	−0.488236	+	1.61048i
$898$	4.42840	+	52.0409i	0.147778	+	1.73663i
$899$	14.1395	−	2.81252i	0.471579	−	0.0938029i
$900$	−17.5841	+	39.4891i	−0.586135	+	1.31630i
$901$	6.01356	+	8.99993i	0.200341	+	0.299831i
$902$	−0.502670	−	1.73996i	−0.0167371	−	0.0579345i
$903$	−14.5435	+	17.7275i	−0.483978	+	0.589934i
$904$	17.0230	−	29.0053i	0.566178	−	0.964700i
$905$	−20.9227	−	50.5118i	−0.695493	−	1.67907i
$906$	−5.64899	−	14.1603i	−0.187675	−	0.470446i
$907$	−7.31840	−	1.45572i	−0.243004	−	0.0483364i	0.0720858	−	0.997398i	$-0.477034\pi$
$907$	−7.31840	−	1.45572i	−0.243004	−	0.0483364i	−0.315089	+	0.949062i	$0.602034\pi$
$908$	−3.05099	−	7.95738i	−0.101251	−	0.264075i
$909$	10.6203	+	25.6152i	0.352255	+	0.849602i
$910$	62.9557	+	20.0145i	2.08696	+	0.663473i
$911$	−34.4402	−	34.4402i	−1.14105	−	1.14105i	−0.988258	−	0.152795i	$-0.951172\pi$
$911$	−34.4402	−	34.4402i	−1.14105	−	1.14105i	−0.152795	−	0.988258i	$-0.548828\pi$
$912$	−40.1896	−	14.5563i	−1.33081	−	0.482007i
$913$	−1.41456	+	1.41456i	−0.0468153	+	0.0468153i
$914$	3.67492	−	1.90196i	0.121556	−	0.0629112i
$915$	−42.7598	−	52.0849i	−1.41359	−	1.72187i
$916$	8.59935	−	8.15411i	0.284130	−	0.269419i
$917$	5.50433	−	27.6721i	0.181769	−	0.913814i
$918$	−24.9518	+	16.2151i	−0.823533	+	0.535177i
$919$	−11.7108	+	4.85077i	−0.386304	+	0.160012i	−0.567378	−	0.823457i	$-0.692042\pi$
$919$	−11.7108	+	4.85077i	−0.386304	+	0.160012i	0.181075	+	0.983469i	$0.442042\pi$
$920$	−49.9611	−	17.3577i	−1.64717	−	0.572267i
$921$	−17.4994	+	21.3304i	−0.576624	+	0.702862i
$922$	27.5698	+	15.2107i	0.907963	+	0.500936i
$923$	7.16938	−	4.79042i	0.235983	−	0.157679i
$924$	2.58784	−	4.54848i	0.0851338	−	0.149634i
$925$	3.30697	+	16.6253i	0.108732	+	0.546635i
$926$	−1.82670	+	2.16650i	−0.0600290	+	0.0711955i
$927$	−7.81783	−	5.21987i	−0.256771	−	0.171443i
$928$	29.7915	−	21.3044i	0.977953	−	0.699351i
$929$	29.3340			0.962417			0.481209	−	0.876606i	$-0.340198\pi$
$929$	29.3340			0.962417			0.481209	+	0.876606i	$0.340198\pi$
$930$	10.3773	+	15.9805i	0.340284	+	0.524020i
$931$	−5.75249	+	1.14424i	−0.188530	+	0.0375010i
$932$	−2.44313	+	1.54017i	−0.0800275	+	0.0504500i
$933$	−6.24311	−	20.5682i	−0.204390	−	0.673373i
$934$	−12.7146	−	7.01485i	−0.416036	−	0.229533i
$935$	3.32521	−	8.02776i	0.108746	−	0.262536i
$936$	23.3355	−	39.7918i	0.762744	−	1.30064i
$937$	−7.65680	−	18.4851i	−0.250137	−	0.603883i	0.748078	−	0.663611i	$-0.230977\pi$
$937$	−7.65680	−	18.4851i	−0.250137	−	0.603883i	−0.998215	+	0.0597275i	$0.980977\pi$
$938$	10.5283	+	1.17836i	0.343761	+	0.0384749i
$939$	−20.1916	+	37.7913i	−0.658929	+	1.23327i
$940$	1.52421	−	57.3534i	0.0497141	−	1.87066i
$941$	−23.2029	+	34.7256i	−0.756394	+	1.13202i	0.230879	+	0.972983i	$0.425840\pi$
$941$	−23.2029	+	34.7256i	−0.756394	+	1.13202i	−0.987272	+	0.159040i	$0.949160\pi$
$942$	−0.940120	+	0.174217i	−0.0306308	+	0.00567629i
$943$	−7.89174	−	7.89174i	−0.256991	−	0.256991i
$944$	−22.4952	−	16.8253i	−0.732157	−	0.547617i
$945$	−44.4347	−	4.35358i	−1.44546	−	0.141622i
$946$	−4.45564	−	1.41651i	−0.144865	−	0.0460546i
$947$	31.3458	−	46.9123i	1.01860	−	1.52444i	0.177097	−	0.984193i	$-0.443329\pi$
$947$	31.3458	−	46.9123i	1.01860	−	1.52444i	0.841504	−	0.540250i	$-0.181671\pi$
$948$	−31.4316	−	27.2150i	−1.02085	−	0.883903i
$949$	8.51075	−	42.7864i	0.276271	−	1.38891i
$950$	−39.2295	−	49.1176i	−1.27277	−	1.59358i
$951$	31.8060	−	3.13808i	1.03138	−	0.101759i
$952$	−22.4712	+	16.9896i	−0.728297	+	0.550637i
$953$	−0.418349	+	1.00998i	−0.0135517	+	0.0327166i	−0.930511	−	0.366265i	$-0.880636\pi$
$953$	−0.418349	+	1.00998i	−0.0135517	+	0.0327166i	0.916959	+	0.398982i	$0.130636\pi$
$954$	10.8085	+	3.43213i	0.349938	+	0.111119i
$955$	−7.97253	+	5.32707i	−0.257985	+	0.172380i
$956$	13.0307	−	18.4227i	0.421441	−	0.595833i
$957$	−6.85477	−	0.673961i	−0.221583	−	0.0217861i
$958$	−0.554754	−	6.51926i	−0.0179233	−	0.210628i
$959$	19.6385			0.634160
$960$	40.7434	+	26.1390i	1.31499	+	0.843631i
$961$	−26.0420			−0.840063
$962$	−1.53374	−	18.0239i	−0.0494497	−	0.581115i
$963$	35.3906	+	14.6452i	1.14045	+	0.471935i
$964$	26.6302	+	18.8359i	0.857700	+	0.606663i
$965$	−49.1289	+	32.8269i	−1.58151	+	1.05673i
$966$	0.422917	−	32.2452i	0.0136071	−	1.03747i
$967$	1.80447	−	4.35637i	0.0580277	−	0.140091i	−0.892207	−	0.451628i	$-0.850844\pi$
$967$	1.80447	−	4.35637i	0.0580277	−	0.140091i	0.950234	+	0.311536i	$0.100844\pi$
$968$	−29.7599	−	4.13402i	−0.956520	−	0.132872i
$969$	−4.24887	−	43.0645i	−0.136493	−	1.38343i
$970$	−13.6958	−	17.1479i	−0.439744	−	0.550585i
$971$	−5.69846	+	28.6481i	−0.182872	+	0.919361i	0.774955	+	0.632017i	$0.217773\pi$
$971$	−5.69846	+	28.6481i	−0.182872	+	0.919361i	−0.957827	+	0.287345i	$0.907227\pi$
$972$	−9.81446	+	29.5918i	−0.314799	+	0.949158i
$973$	−29.0042	+	43.4078i	−0.929832	+	1.39159i
$974$	−42.2439	−	13.4299i	−1.35358	−	0.430322i
$975$	59.8232	−	31.9892i	1.91588	−	1.02447i
$976$	−38.3024	+	22.7471i	−1.22603	+	0.728118i
$977$	−8.14720	−	8.14720i	−0.260652	−	0.260652i	0.564667	−	0.825319i	$-0.309005\pi$
$977$	−8.14720	−	8.14720i	−0.260652	−	0.260652i	−0.825319	+	0.564667i	$0.809005\pi$
$978$	0.435586	+	2.35054i	0.0139285	+	0.0751619i
$979$	0.286050	−	0.428104i	0.00914219	−	0.0136823i
$980$	6.63987	+	0.176459i	0.212103	+	0.00563678i
$981$	−16.5564	−	16.5452i	−0.528606	−	0.528247i
$982$	−54.2024	−	6.06652i	−1.72967	−	0.193590i
$983$	1.50584	+	3.63542i	0.0480288	+	0.115952i	0.946073	−	0.323953i	$-0.105012\pi$
$983$	1.50584	+	3.63542i	0.0480288	+	0.115952i	−0.898044	+	0.439905i	$0.855012\pi$
$984$	5.33351	+	8.71159i	0.170026	+	0.277715i
$985$	36.2500	−	87.5153i	1.15502	−	2.78847i
$986$	32.4653	+	17.9116i	1.03391	+	0.570421i
$987$	33.4734	−	10.1602i	1.06547	−	0.323404i
$988$	35.7735	+	56.7465i	1.13811	+	1.80535i
$989$	−28.2574	+	5.62075i	−0.898533	+	0.178729i
$990$	−2.52964	−	8.74507i	−0.0803973	−	0.277937i
$991$	−41.9287			−1.33191			−0.665954	−	0.745993i	$-0.731975\pi$
$991$	−41.9287			−1.33191			−0.665954	+	0.745993i	$0.731975\pi$
$992$	11.4782	−	5.18725i	0.364434	−	0.164695i
$993$	0.660067	−	2.17728i	0.0209466	−	0.0690939i
$994$	−3.55620	+	4.21772i	−0.112796	+	0.133778i
$995$	8.24193	+	41.4350i	0.261287	+	1.31358i
$996$	5.57943	−	9.80658i	0.176791	−	0.310733i
$997$	−1.99570	+	1.33348i	−0.0632045	+	0.0422319i	−0.586771	−	0.809753i	$-0.699601\pi$
$997$	−1.99570	+	1.33348i	−0.0632045	+	0.0422319i	0.523567	+	0.851985i	$0.324601\pi$
$998$	6.74660	+	3.72220i	0.213560	+	0.117824i
$999$	3.55487	+	11.6974i	0.112471	+	0.370088i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.1	✓	240
3.2	odd	2	inner	192.2.s.a.11.30	yes	240
4.3	odd	2		768.2.s.a.719.17		240
12.11	even	2		768.2.s.a.719.11		240
64.29	even	16		768.2.s.a.47.11		240
64.35	odd	16	inner	192.2.s.a.35.30	yes	240
192.29	odd	16		768.2.s.a.47.17		240
192.35	even	16	inner	192.2.s.a.35.1	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.1	✓	240	1.1	even	1	trivial
192.2.s.a.11.30	yes	240	3.2	odd	2	inner
192.2.s.a.35.1	yes	240	192.35	even	16	inner
192.2.s.a.35.30	yes	240	64.35	odd	16	inner
768.2.s.a.47.11		240	64.29	even	16
768.2.s.a.47.17		240	192.29	odd	16
768.2.s.a.719.11		240	12.11	even	2
768.2.s.a.719.17		240	4.3	odd	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)

\(f(q)\)	\(=\)	\(q+(-1.40912 + 0.119909i) q^{2} +(-0.169478 + 1.72374i) q^{3} +(1.97124 - 0.337931i) q^{4} +(2.90474 - 1.94088i) q^{5} +(0.0321240 - 2.44928i) q^{6} +(0.941226 - 2.27232i) q^{7} +(-2.73720 + 0.712555i) q^{8} +(-2.94255 - 0.584272i) q^{9} +O(q^{10})\)	\(q+(-1.40912 + 0.119909i) q^{2} +(-0.169478 + 1.72374i) q^{3} +(1.97124 - 0.337931i) q^{4} +(2.90474 - 1.94088i) q^{5} +(0.0321240 - 2.44928i) q^{6} +(0.941226 - 2.27232i) q^{7} +(-2.73720 + 0.712555i) q^{8} +(-2.94255 - 0.584272i) q^{9} +(-3.86040 + 3.08324i) q^{10} +(0.119826 - 0.602407i) q^{11} +(0.248423 + 3.45518i) q^{12} +(3.02031 - 4.52021i) q^{13} +(-1.05383 + 3.31484i) q^{14} +(2.85329 + 5.33595i) q^{15} +(3.77160 - 1.33229i) q^{16} +(2.86344 + 2.86344i) q^{17} +(4.21647 + 0.470472i) q^{18} +(-3.42767 + 5.12986i) q^{19} +(5.07006 - 4.80756i) q^{20} +(3.75737 + 2.00754i) q^{21} +(-0.0966159 + 0.863232i) q^{22} +(2.04839 + 4.94524i) q^{23} +(-0.764364 - 4.83898i) q^{24} +(2.75706 - 6.65612i) q^{25} +(-3.71397 + 6.73169i) q^{26} +(1.50583 - 4.97318i) q^{27} +(1.08750 - 4.79737i) q^{28} +(-6.35008 + 1.26311i) q^{29} +(-4.66045 - 7.17686i) q^{30} -2.22666 q^{31} +(-5.15489 + 2.32960i) q^{32} +(1.01808 + 0.308644i) q^{33} +(-4.37828 - 3.69158i) q^{34} +(-1.67630 - 8.42731i) q^{35} +(-5.99794 - 0.157361i) q^{36} +(-1.95630 + 1.30716i) q^{37} +(4.21488 - 7.63961i) q^{38} +(7.27979 + 5.97230i) q^{39} +(-6.56786 + 7.38237i) q^{40} +(-1.92633 + 0.797913i) q^{41} +(-5.53531 - 2.37832i) q^{42} +(-1.05008 + 5.27910i) q^{43} +(0.0326345 - 1.22798i) q^{44} +(-9.68135 + 4.01400i) q^{45} +(-3.47940 - 6.72282i) q^{46} +(5.80640 - 5.80640i) q^{47} +(1.65732 + 6.72706i) q^{48} +(0.672214 + 0.672214i) q^{49} +(-3.08690 + 9.70987i) q^{50} +(-5.42111 + 4.45053i) q^{51} +(4.42625 - 9.93110i) q^{52} +(2.62158 + 0.521466i) q^{53} +(-1.52557 + 7.18837i) q^{54} +(-0.821138 - 1.98240i) q^{55} +(-0.957171 + 6.89047i) q^{56} +(-8.26163 - 6.77780i) q^{57} +(8.79658 - 2.54130i) q^{58} +(-3.90169 - 5.83928i) q^{59} +(7.42771 + 9.55424i) q^{60} +(-10.9229 + 2.17271i) q^{61} +(3.13764 - 0.266996i) q^{62} +(-4.09726 + 6.13649i) q^{63} +(6.98453 - 3.90081i) q^{64} -18.9921i q^{65} +(-1.47161 - 0.312839i) q^{66} +(-0.594194 - 2.98722i) q^{67} +(6.61218 + 4.67689i) q^{68} +(-8.87146 + 2.69277i) q^{69} +(3.37261 + 11.6741i) q^{70} +(1.46534 + 0.606963i) q^{71} +(8.47069 - 0.497463i) q^{72} +(7.41369 - 3.07085i) q^{73} +(2.59992 - 2.07652i) q^{74} +(11.0062 + 5.88051i) q^{75} +(-5.02322 + 11.2705i) q^{76} +(-1.25608 - 0.839284i) q^{77} +(-10.9742 - 7.54279i) q^{78} +(-8.48677 + 8.48677i) q^{79} +(8.36970 - 11.1902i) q^{80} +(8.31725 + 3.43850i) q^{81} +(2.61876 - 1.35534i) q^{82} +(-2.70812 - 1.80951i) q^{83} +(8.08510 + 2.68761i) q^{84} +(13.8751 + 2.75994i) q^{85} +(0.846679 - 7.56481i) q^{86} +(-1.10107 - 11.1600i) q^{87} +(0.101260 + 1.73429i) q^{88} +(0.774465 + 0.320794i) q^{89} +(13.1609 - 6.81709i) q^{90} +(-7.42858 - 11.1177i) q^{91} +(5.70902 + 9.05606i) q^{92} +(0.377371 - 3.83819i) q^{93} +(-7.48568 + 8.87816i) q^{94} +21.5536i q^{95} +(-3.14199 - 9.28051i) q^{96} +4.44200i q^{97} +(-1.02783 - 0.866626i) q^{98} +(-0.704564 + 1.70260i) 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

Introduction

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