LMFDB - Embedded newform 192.2.s.a.35.30

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			35.30
Character	$\chi$	$=$	192.35
Dual form			192.2.s.a.11.30

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.40912 + 0.119909i) q^{2} +(0.816224 - 1.52767i) q^{3} +(1.97124 + 0.337931i) q^{4} +(-2.90474 - 1.94088i) q^{5} +(1.33334 - 2.05480i) q^{6} +(0.941226 + 2.27232i) q^{7} +(2.73720 + 0.712555i) q^{8} +(-1.66756 - 2.49384i) q^{9} +O(q^{10})$	\(q+(1.40912 + 0.119909i) q^{2} +(0.816224 - 1.52767i) q^{3} +(1.97124 + 0.337931i) q^{4} +(-2.90474 - 1.94088i) q^{5} +(1.33334 - 2.05480i) q^{6} +(0.941226 + 2.27232i) q^{7} +(2.73720 + 0.712555i) q^{8} +(-1.66756 - 2.49384i) q^{9} +(-3.86040 - 3.08324i) q^{10} +(-0.119826 - 0.602407i) q^{11} +(2.12522 - 2.73558i) q^{12} +(3.02031 + 4.52021i) q^{13} +(1.05383 + 3.31484i) q^{14} +(-5.33595 + 2.85329i) q^{15} +(3.77160 + 1.33229i) q^{16} +(-2.86344 + 2.86344i) q^{17} +(-2.05076 - 3.71408i) q^{18} +(-3.42767 - 5.12986i) q^{19} +(-5.07006 - 4.80756i) q^{20} +(4.23961 + 0.416838i) q^{21} +(-0.0966159 - 0.863232i) q^{22} +(-2.04839 + 4.94524i) q^{23} +(3.32272 - 3.59994i) q^{24} +(2.75706 + 6.65612i) q^{25} +(3.71397 + 6.73169i) q^{26} +(-5.17087 + 0.511946i) q^{27} +(1.08750 + 4.79737i) q^{28} +(6.35008 + 1.26311i) q^{29} +(-7.86113 + 3.38080i) 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} +(-2.44442 - 5.47949i) q^{36} +(-1.95630 - 1.30716i) q^{37} +(-4.21488 - 7.63961i) q^{38} +(9.37065 - 0.924535i) q^{39} +(-6.56786 - 7.38237i) q^{40} +(1.92633 + 0.797913i) q^{41} +(5.92414 + 1.09574i) q^{42} +(-1.05008 - 5.27910i) q^{43} +(-0.0326345 - 1.22798i) q^{44} +(0.00355903 + 10.4805i) q^{45} +(-3.47940 + 6.72282i) q^{46} +(-5.80640 - 5.80640i) q^{47} +(5.11377 - 4.67433i) q^{48} +(0.672214 - 0.672214i) q^{49} +(3.08690 + 9.70987i) q^{50} +(2.03719 + 6.71160i) q^{51} +(4.42625 + 9.93110i) q^{52} +(-2.62158 + 0.521466i) q^{53} +(-7.34777 + 0.101362i) q^{54} +(-0.821138 + 1.98240i) q^{55} +(0.957171 + 6.89047i) q^{56} +(-10.6345 + 1.04923i) q^{57} +(8.79658 + 2.54130i) q^{58} +(3.90169 - 5.83928i) q^{59} +(-11.4827 + 3.82134i) 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} +(-1.39760 - 0.556993i) q^{66} +(-0.594194 + 2.98722i) q^{67} +(-6.61218 + 4.67689i) q^{68} +(5.88276 + 7.16568i) q^{69} +(3.37261 - 11.6741i) q^{70} +(-1.46534 + 0.606963i) q^{71} +(-2.78744 - 8.01437i) q^{72} +(7.41369 + 3.07085i) q^{73} +(-2.59992 - 2.07652i) q^{74} +(12.4187 + 1.22101i) q^{75} +(-5.02322 - 11.2705i) q^{76} +(1.25608 - 0.839284i) q^{77} +(13.3152 - 0.179161i) q^{78} +(-8.48677 - 8.48677i) q^{79} +(-8.36970 - 11.1902i) q^{80} +(-3.43850 + 8.31725i) q^{81} +(2.61876 + 1.35534i) q^{82} +(2.70812 - 1.80951i) q^{83} +(8.21644 + 2.25439i) q^{84} +(13.8751 - 2.75994i) q^{85} +(-0.846679 - 7.56481i) q^{86} +(7.11270 - 8.66986i) q^{87} +(0.101260 - 1.73429i) q^{88} +(-0.774465 + 0.320794i) q^{89} +(-1.25169 + 14.7687i) q^{90} +(-7.42858 + 11.1177i) q^{91} +(-5.70902 + 9.05606i) q^{92} +(-1.81746 + 3.40161i) q^{93} +(-7.48568 - 8.87816i) q^{94} +21.5536i q^{95} +(7.76642 - 5.97350i) q^{96} -4.44200i q^{97} +(1.02783 - 0.866626i) q^{98} +(-1.30249 + 1.30338i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{11}{16}\right)$

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
$3$	0.816224	−	1.52767i	0.471247	−	0.882001i
$3$	0.816224	−	1.52767i	0.471247	−	0.882001i
$4$	1.97124	+	0.337931i	0.985622	+	0.168966i
$5$	−2.90474	−	1.94088i	−1.29904	−	0.867990i	−0.302667	−	0.953097i	$-0.597877\pi$
$5$	−2.90474	−	1.94088i	−1.29904	−	0.867990i	−0.996372	+	0.0851069i	$0.972877\pi$
$6$	1.33334	−	2.05480i	0.544333	−	0.838869i
$7$	0.941226	+	2.27232i	0.355750	+	0.858856i	0.995888	+	0.0905962i	$0.0288773\pi$
$7$	0.941226	+	2.27232i	0.355750	+	0.858856i	−0.640138	+	0.768260i	$0.721123\pi$
$8$	2.73720	+	0.712555i	0.967746	+	0.251926i
$9$	−1.66756	−	2.49384i	−0.555853	−	0.831281i
$10$	−3.86040	−	3.08324i	−1.22077	−	0.975007i
$11$	−0.119826	−	0.602407i	−0.0361289	−	0.181632i	0.958507	−	0.285068i	$-0.0920163\pi$
$11$	−0.119826	−	0.602407i	−0.0361289	−	0.181632i	−0.994636	+	0.103436i	$0.967016\pi$
$12$	2.12522	−	2.73558i	0.613499	−	0.789695i
$13$	3.02031	+	4.52021i	0.837683	+	1.25368i	0.965113	+	0.261834i	$0.0843274\pi$
$13$	3.02031	+	4.52021i	0.837683	+	1.25368i	−0.127429	+	0.991848i	$0.540673\pi$
$14$	1.05383	+	3.31484i	0.281648	+	0.885927i
$15$	−5.33595	+	2.85329i	−1.37774	+	0.736716i
$16$	3.77160	+	1.33229i	0.942901	+	0.333072i
$17$	−2.86344	+	2.86344i	−0.694486	+	0.694486i	−0.963216	−	0.268730i	$-0.913396\pi$
$17$	−2.86344	+	2.86344i	−0.694486	+	0.694486i	0.268730	+	0.963216i	$0.413396\pi$
$18$	−2.05076	−	3.71408i	−0.483368	−	0.875417i
$19$	−3.42767	−	5.12986i	−0.786360	−	1.17687i	−0.980620	−	0.195921i	$-0.937230\pi$
$19$	−3.42767	−	5.12986i	−0.786360	−	1.17687i	0.194259	−	0.980950i	$-0.437770\pi$
$20$	−5.07006	−	4.80756i	−1.13370	−	1.07500i
$21$	4.23961	+	0.416838i	0.925159	+	0.0909616i
$22$	−0.0966159	−	0.863232i	−0.0205986	−	0.184042i
$23$	−2.04839	+	4.94524i	−0.427118	+	1.03115i	0.553079	+	0.833129i	$0.313453\pi$
$23$	−2.04839	+	4.94524i	−0.427118	+	1.03115i	−0.980197	+	0.198025i	$0.936547\pi$
$24$	3.32272	−	3.59994i	0.678247	−	0.734834i
$25$	2.75706	+	6.65612i	0.551411	+	1.33122i
$26$	3.71397	+	6.73169i	0.728370	+	1.32019i
$27$	−5.17087	+	0.511946i	−0.995135	+	0.0985241i
$28$	1.08750	+	4.79737i	0.205518	+	0.906617i
$29$	6.35008	+	1.26311i	1.17918	+	0.234554i	0.745495	−	0.666511i	$-0.232213\pi$
$29$	6.35008	+	1.26311i	1.17918	+	0.234554i	0.433685	+	0.901064i	$0.357213\pi$
$30$	−7.86113	+	3.38080i	−1.43524	+	0.617247i
$31$	−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
$36$	−2.44442	−	5.47949i	−0.407403	−	0.913249i
$37$	−1.95630	−	1.30716i	−0.321613	−	0.214895i	0.384274	−	0.923219i	$-0.374452\pi$
$37$	−1.95630	−	1.30716i	−0.321613	−	0.214895i	−0.705888	+	0.708324i	$0.749452\pi$
$38$	−4.21488	−	7.63961i	−0.683744	−	1.23931i
$39$	9.37065	−	0.924535i	1.50050	−	0.148044i
$40$	−6.56786	−	7.38237i	−1.03847	−	1.16726i
$41$	1.92633	+	0.797913i	0.300843	+	0.124613i	0.527998	−	0.849245i	$-0.322943\pi$
$41$	1.92633	+	0.797913i	0.300843	+	0.124613i	−0.227156	+	0.973858i	$0.572943\pi$
$42$	5.92414	+	1.09574i	0.914115	+	0.169076i
$43$	−1.05008	−	5.27910i	−0.160136	−	0.805056i	−0.974445	−	0.224625i	$-0.927884\pi$
$43$	−1.05008	−	5.27910i	−0.160136	−	0.805056i	0.814310	−	0.580431i	$-0.197116\pi$
$44$	−0.0326345	−	1.22798i	−0.00491984	−	0.185126i
$45$	0.00355903	+	10.4805i	0.000530549	+	1.56234i
$46$	−3.47940	+	6.72282i	−0.513009	+	0.991226i
$47$	−5.80640	−	5.80640i	−0.846950	−	0.846950i	0.142801	−	0.989751i	$-0.454389\pi$
$47$	−5.80640	−	5.80640i	−0.846950	−	0.846950i	−0.989751	+	0.142801i	$0.954389\pi$
$48$	5.11377	−	4.67433i	0.738110	−	0.674681i
$49$	0.672214	−	0.672214i	0.0960305	−	0.0960305i
$50$	3.08690	+	9.70987i	0.436553	+	1.37318i
$51$	2.03719	+	6.71160i	0.285263	+	0.939812i
$52$	4.42625	+	9.93110i	0.613810	+	1.37720i
$53$	−2.62158	+	0.521466i	−0.360102	+	0.0716288i	−0.371826	−	0.928302i	$-0.621268\pi$
$53$	−2.62158	+	0.521466i	−0.360102	+	0.0716288i	0.0117236	+	0.999931i	$0.496268\pi$
$54$	−7.34777	+	0.101362i	−0.999905	+	0.0137937i
$55$	−0.821138	+	1.98240i	−0.110722	+	0.267307i
$56$	0.957171	+	6.89047i	0.127907	+	0.920778i
$57$	−10.6345	+	1.04923i	−1.40857	+	0.138974i
$58$	8.79658	+	2.54130i	1.15505	+	0.333689i
$59$	3.90169	−	5.83928i	0.507956	−	0.760210i	−0.485523	−	0.874224i	$-0.661371\pi$
$59$	3.90169	−	5.83928i	0.507956	−	0.760210i	0.993479	+	0.114014i	$0.0363708\pi$
$60$	−11.4827	+	3.82134i	−1.48241	+	0.493333i
$61$	−10.9229	−	2.17271i	−1.39854	−	0.278187i	−0.562474	−	0.826815i	$-0.690150\pi$
$61$	−10.9229	−	2.17271i	−1.39854	−	0.278187i	−0.836066	+	0.548628i	$0.815150\pi$
$62$	−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
$66$	−1.39760	−	0.556993i	−0.172032	−	0.0685611i
$67$	−0.594194	+	2.98722i	−0.0725924	+	0.364946i	−0.999958	−	0.00921096i	$-0.997068\pi$
$67$	−0.594194	+	2.98722i	−0.0725924	+	0.364946i	0.927365	+	0.374157i	$0.122068\pi$
$68$	−6.61218	+	4.67689i	−0.801844	+	0.567156i
$69$	5.88276	+	7.16568i	0.708201	+	0.862647i
$70$	3.37261	−	11.6741i	0.403104	−	1.39532i
$71$	−1.46534	+	0.606963i	−0.173904	+	0.0720332i	−0.467937	−	0.883762i	$-0.655002\pi$
$71$	−1.46534	+	0.606963i	−0.173904	+	0.0720332i	0.294033	+	0.955795i	$0.405002\pi$
$72$	−2.78744	−	8.01437i	−0.328503	−	0.944503i
$73$	7.41369	+	3.07085i	0.867707	+	0.359416i	0.771717	−	0.635966i	$-0.219398\pi$
$73$	7.41369	+	3.07085i	0.867707	+	0.359416i	0.0959903	+	0.995382i	$0.469398\pi$
$74$	−2.59992	−	2.07652i	−0.302235	−	0.241390i
$75$	12.4187	+	1.22101i	1.43399	+	0.140990i
$76$	−5.02322	−	11.2705i	−0.576203	−	1.29282i
$77$	1.25608	−	0.839284i	0.143143	−	0.0956453i
$78$	13.3152	−	0.179161i	1.50765	−	0.0202860i
$79$	−8.48677	−	8.48677i	−0.954836	−	0.954836i	0.0441871	−	0.999023i	$-0.485930\pi$
$79$	−8.48677	−	8.48677i	−0.954836	−	0.954836i	−0.999023	+	0.0441871i	$0.985930\pi$
$80$	−8.36970	−	11.1902i	−0.935761	−	1.25110i
$81$	−3.43850	+	8.31725i	−0.382056	+	0.924139i
$82$	2.61876	+	1.35534i	0.289194	+	0.149672i
$83$	2.70812	−	1.80951i	0.297255	−	0.198619i	−0.397995	−	0.917388i	$-0.630294\pi$
$83$	2.70812	−	1.80951i	0.297255	−	0.198619i	0.695250	+	0.718768i	$0.255294\pi$
$84$	8.21644	+	2.25439i	0.896487	+	0.245974i
$85$	13.8751	−	2.75994i	1.50497	−	0.299357i
$86$	−0.846679	−	7.56481i	−0.0912997	−	0.815734i
$87$	7.11270	−	8.66986i	0.762562	−	0.929506i
$88$	0.101260	−	1.73429i	0.0107943	−	0.184876i
$89$	−0.774465	+	0.320794i	−0.0820932	+	0.0340041i	−0.423352	−	0.905965i	$-0.639147\pi$
$89$	−0.774465	+	0.320794i	−0.0820932	+	0.0340041i	0.341259	+	0.939969i	$0.389147\pi$
$90$	−1.25169	+	14.7687i	−0.131939	+	1.55676i
$91$	−7.42858	+	11.1177i	−0.778727	+	1.16545i
$92$	−5.70902	+	9.05606i	−0.595206	+	0.944160i
$93$	−1.81746	+	3.40161i	−0.188461	+	0.352731i
$94$	−7.48568	−	8.87816i	−0.772089	−	0.915712i
$95$			21.5536i			2.21135i
$96$	7.76642	−	5.97350i	0.792657	−	0.609668i
$97$		−	4.44200i		−	0.451017i	−0.974241	−	0.225508i	$-0.927596\pi$
$97$		−	4.44200i		−	0.451017i	0.974241	−	0.225508i	$-0.0724043\pi$
$98$	1.02783	−	0.866626i	0.103827	−	0.0875425i
$99$	−1.30249	+	1.30338i	−0.130905	+	0.130994i
$100$	3.18552	+	14.0525i	0.318552	+	1.40525i
$101$	5.13524	−	7.68543i	0.510975	−	0.764729i	−0.482848	−	0.875704i	$-0.660398\pi$
$101$	5.13524	−	7.68543i	0.510975	−	0.764729i	0.993823	+	0.110976i	$0.0353975\pi$
$102$	2.06586	+	9.70173i	0.204551	+	0.960614i
$103$	2.89491	−	1.19911i	0.285244	−	0.118152i	−0.235474	−	0.971881i	$-0.575664\pi$
$103$	2.89491	−	1.19911i	0.285244	−	0.118152i	0.520718	+	0.853729i	$0.325664\pi$
$104$	5.04629	+	14.5249i	0.494830	+	1.42428i
$105$	−11.5059	−	9.43939i	−1.12286	−	0.921191i
$106$	−3.75666	+	0.420458i	−0.364879	+	0.0408385i
$107$	12.5217	−	2.49073i	1.21052	−	0.240788i	0.451750	−	0.892145i	$-0.350800\pi$
$107$	12.5217	−	2.49073i	1.21052	−	0.240788i	0.758772	+	0.651357i	$0.225800\pi$
$108$	−10.3661	−	0.738228i	−0.997474	−	0.0710361i
$109$	6.48723	−	4.33463i	0.621364	−	0.415182i	−0.204647	−	0.978836i	$-0.565605\pi$
$109$	6.48723	−	4.33463i	0.621364	−	0.415182i	0.826011	+	0.563654i	$0.190605\pi$
$110$	−1.39479	+	2.69498i	−0.132988	+	0.256957i
$111$	−3.59368	+	1.92165i	−0.341097	+	0.182395i
$112$	0.522543	+	9.82428i	0.0493757	+	0.928307i
$113$	8.40792	+	8.40792i	0.790950	+	0.790950i	0.981649	−	0.190699i	$-0.0610753\pi$
$113$	8.40792	+	8.40792i	0.790950	+	0.790950i	−0.190699	+	0.981649i	$0.561075\pi$
$114$	−15.1111	+	0.203325i	−1.41528	+	0.0190431i
$115$	15.5482	−	10.3889i	1.44987	−	0.968774i
$116$	12.0907	+	4.63579i	1.12259	+	0.430422i
$117$	6.23616	−	15.0699i	0.576533	−	1.39321i
$118$	6.19813	−	7.76041i	0.570584	−	0.714404i
$119$	−9.20179	−	3.81151i	−0.843527	−	0.349400i
$120$	−16.6387	+	4.00787i	−1.51890	+	0.365866i
$121$	9.81414	−	4.06515i	0.892194	−	0.369559i
$122$	−15.1312	−	4.37136i	−1.36992	−	0.395765i
$123$	2.79127	−	2.29153i	0.251680	−	0.206620i
$124$	−4.38930	−	0.752460i	−0.394171	−	0.0675729i
$125$	1.50249	−	7.55355i	0.134387	−	0.675610i
$126$	6.50935	−	8.15577i	0.579899	−	0.726573i
$127$			10.2676i			0.911098i	0.890211	+	0.455549i	$0.150557\pi$
$127$			10.2676i			0.911098i	−0.890211	+	0.455549i	$0.849443\pi$
$128$	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	$-0.604581\pi$
$131$	−11.2509	−	2.23795i	−0.982998	−	0.195530i	−0.660325	+	0.750980i	$0.729581\pi$
$132$	−1.90259	−	0.952455i	−0.165599	−	0.0829005i
$133$	8.43049	−	12.6171i	0.731016	−	1.09404i
$134$	−1.19548	+	4.13810i	−0.103274	+	0.357477i
$135$	16.0137	+	8.54899i	1.37824	+	0.735780i
$136$	−9.87816	+	5.79745i	−0.847045	+	0.497127i
$137$	−3.05558	+	7.37682i	−0.261056	+	0.630244i	−0.999004	−	0.0446127i	$-0.985795\pi$
$137$	−3.05558	+	7.37682i	−0.261056	+	0.630244i	0.737949	+	0.674857i	$0.235795\pi$
$138$	7.43029	+	10.8027i	0.632508	+	0.919587i
$139$	−20.8181	+	4.14098i	−1.76577	+	0.351234i	−0.967850	−	0.251529i	$-0.919067\pi$
$139$	−20.8181	+	4.14098i	−1.76577	+	0.351234i	−0.797920	+	0.602763i	$0.794067\pi$
$140$	6.15224	−	16.0458i	0.519959	−	1.35612i
$141$	−13.6096	+	4.13095i	−1.14613	+	0.347889i
$142$	−2.13762	+	0.679577i	−0.179385	+	0.0570289i
$143$	2.36110	−	2.36110i	0.197445	−	0.197445i
$144$	−2.96685	−	11.6275i	−0.247237	−	0.968955i
$145$	−15.9938	−	15.9938i	−1.32821	−	1.32821i
$146$	10.0786	+	5.21617i	0.834108	+	0.431693i
$147$	−0.478245	−	1.57560i	−0.0394450	−	0.129953i
$148$	−3.41461	−	3.23782i	−0.280679	−	0.266147i
$149$	3.24554	+	16.3164i	0.265885	+	1.33669i	0.850753	+	0.525566i	$0.176146\pi$
$149$	3.24554	+	16.3164i	0.265885	+	1.33669i	−0.584868	+	0.811128i	$0.698854\pi$
$150$	17.3531	+	3.20966i	1.41687	+	0.262068i
$151$	5.75019	+	2.38181i	0.467944	+	0.193829i	0.604180	−	0.796848i	$-0.293501\pi$
$151$	5.75019	+	2.38181i	0.467944	+	0.193829i	−0.136236	+	0.990676i	$0.543501\pi$
$152$	−5.72690	−	16.4839i	−0.464513	−	1.33702i
$153$	11.9159	+	2.36602i	0.963344	+	0.191281i
$154$	1.87060	−	1.03204i	0.150737	−	0.0831641i
$155$	6.46788	+	4.32170i	0.519512	+	0.347127i
$156$	18.7843	+	1.34415i	1.50394	+	0.107618i
$157$	−0.0761509	+	0.382837i	−0.00607751	+	0.0305537i	−0.983705	−	0.179790i	$-0.942458\pi$
$157$	−0.0761509	+	0.382837i	−0.00607751	+	0.0305537i	0.977628	+	0.210343i	$0.0674582\pi$
$158$	−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
$162$	−5.84258	+	11.3077i	−0.459036	+	0.888418i
$163$	−0.957189	−	0.190397i	−0.0749728	−	0.0149130i	0.157461	−	0.987525i	$-0.449669\pi$
$163$	−0.957189	−	0.190397i	−0.0749728	−	0.0149130i	−0.232434	+	0.972612i	$0.574669\pi$
$164$	3.52763	+	2.22385i	0.275462	+	0.173653i
$165$	2.35823	+	2.87251i	0.183588	+	0.223625i
$166$	4.03305	−	2.22509i	0.313025	−	0.172701i
$167$	−1.39988	−	3.37962i	−0.108326	−	0.261523i	0.860416	−	0.509592i	$-0.170204\pi$
$167$	−1.39988	−	3.37962i	−0.108326	−	0.261523i	−0.968742	+	0.248070i	$0.920204\pi$
$168$	11.3076	+	4.16192i	0.872403	+	0.321099i
$169$	−6.33517	+	15.2945i	−0.487321	+	1.17650i
$170$	19.8827	−	2.22534i	1.52493	−	0.170676i
$171$	−7.07724	+	17.1024i	−0.541210	+	1.30785i
$172$	−0.285988	−	10.7613i	−0.0218064	−	0.820538i
$173$	6.30542	+	9.43673i	0.479392	+	0.717461i	0.989799	−	0.142472i	$-0.0455051\pi$
$173$	6.30542	+	9.43673i	0.479392	+	0.717461i	−0.510407	+	0.859933i	$0.670505\pi$
$174$	11.0622	−	11.3640i	0.838627	−	0.861503i
$175$	−12.5298	+	12.5298i	−0.947166	+	0.947166i
$176$	0.350643	−	2.43168i	0.0264307	−	0.183295i
$177$	−5.73586	−	10.7267i	−0.431133	−	0.806265i
$178$	−1.12978	+	0.359173i	−0.0846807	+	0.0269211i
$179$	2.00107	+	2.99481i	0.149567	+	0.223843i	0.898686	−	0.438593i	$-0.144523\pi$
$179$	2.00107	+	2.99481i	0.149567	+	0.223843i	−0.749119	+	0.662435i	$0.769523\pi$
$180$	−3.53467	+	20.6608i	−0.263459	+	1.53997i
$181$	3.05318	+	15.3494i	0.226941	+	1.14091i	0.911293	+	0.411758i	$0.135085\pi$
$181$	3.05318	+	15.3494i	0.226941	+	1.14091i	−0.684352	+	0.729152i	$0.739915\pi$
$182$	−11.8009	+	14.7754i	−0.874739	+	1.09522i
$183$	−12.2348	+	14.9133i	−0.904419	+	1.10242i
$184$	−9.13060	+	12.0765i	−0.673116	+	0.890293i
$185$	3.14549	+	7.59389i	0.231261	+	0.558314i
$186$	−2.96890	+	4.57535i	−0.217690	+	0.335481i
$187$	2.06807	+	1.38184i	0.151232	+	0.101050i
$188$	−9.48367	−	13.4080i	−0.691667	−	0.977878i
$189$	−6.03026	−	11.2680i	−0.438637	−	0.819628i
$190$	−2.58446	+	30.3716i	−0.187497	+	2.20339i
$191$	2.74466			0.198597			0.0992984	−	0.995058i	$-0.468340\pi$
$191$	2.74466			0.198597			0.0992984	+	0.995058i	$0.468340\pi$
$192$	11.6601	−	7.48613i	0.841495	−	0.540265i
$193$	−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
$195$	−29.0137	−	15.5018i	−2.07771	−	1.11011i
$196$	1.55226	−	1.09794i	0.110876	−	0.0784239i
$197$	−22.5452	−	15.0642i	−1.60628	−	1.07328i	−0.946927	−	0.321450i	$-0.895830\pi$
$197$	−22.5452	−	15.0642i	−1.60628	−	1.07328i	−0.659354	−	0.751832i	$-0.729170\pi$
$198$	−1.99165	+	1.68043i	−0.141541	+	0.119423i
$199$	−4.62777	−	11.1724i	−0.328054	−	0.791993i	−0.998737	−	0.0502483i	$-0.983999\pi$
$199$	−4.62777	−	11.1724i	−0.328054	−	0.791993i	0.670683	−	0.741744i	$-0.266001\pi$
$200$	2.80376	+	20.1837i	0.198256	+	1.42720i
$201$	4.07849	+	3.34597i	0.287674	+	0.236006i
$202$	8.15772	−	10.2139i	0.573975	−	0.718650i
$203$	3.10667	+	15.6183i	0.218046	+	1.09619i
$204$	1.74773	+	13.9186i	0.122366	+	0.974498i
$205$	−4.04684	−	6.05652i	−0.282643	−	0.423006i
$206$	4.22306	−	1.34257i	0.294235	−	0.0935412i
$207$	15.7485	−	3.13812i	1.09459	−	0.218115i
$208$	5.36918	+	21.0724i	0.372286	+	1.46111i
$209$	−2.67954	+	2.67954i	−0.185348	+	0.185348i
$210$	−15.0814	−	14.6809i	−1.04071	−	1.01308i
$211$	2.34606	+	3.51113i	0.161509	+	0.241716i	0.903394	−	0.428812i	$-0.141068\pi$
$211$	2.34606	+	3.51113i	0.161509	+	0.241716i	−0.741884	+	0.670528i	$0.766068\pi$
$212$	−5.34400	+	0.142021i	−0.367028	+	0.00975401i
$213$	−0.268804	+	2.73397i	−0.0184181	+	0.187329i
$214$	17.9433	−	2.00827i	1.22658	−	0.137283i
$215$	−7.19592	+	17.3725i	−0.490758	+	1.18479i
$216$	−14.5185	−	2.28323i	−0.987859	−	0.155354i
$217$	−2.09579	−	5.05970i	−0.142272	−	0.343475i
$218$	9.66105	−	5.33014i	0.654329	−	0.361003i
$219$	10.7425	−	8.81918i	0.725910	−	0.595945i
$220$	−2.28858	+	3.63031i	−0.154296	+	0.244756i
$221$	−21.5918	−	4.29488i	−1.45242	−	0.288905i
$222$	−5.29435	+	2.27692i	−0.355334	+	0.152817i
$223$	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	$-0.892336\pi$
$227$	0.831302	−	4.17924i	0.0551755	−	0.277386i	0.998517	+	0.0544370i	$0.0173364\pi$
$228$	−21.3177	−	1.52544i	−1.41180	−	0.101025i
$229$	4.92673	+	3.29194i	0.325568	+	0.217537i	0.707603	−	0.706610i	$-0.249777\pi$
$229$	4.92673	+	3.29194i	0.325568	+	0.217537i	−0.382035	+	0.924148i	$0.624777\pi$
$230$	23.1550	−	12.7749i	1.52679	−	0.842354i
$231$	−0.256910	−	2.60392i	−0.0169034	−	0.171325i
$232$	16.4814	+	7.98217i	1.08206	+	0.524055i
$233$	1.33412	+	0.552611i	0.0874012	+	0.0362027i	0.425956	−	0.904744i	$-0.359938\pi$
$233$	1.33412	+	0.552611i	0.0874012	+	0.0362027i	−0.338555	+	0.940947i	$0.609938\pi$
$234$	10.5945	−	20.4875i	0.692585	−	1.33931i
$235$	5.59652	+	28.1356i	0.365077	+	1.83537i
$236$	9.66445	−	10.1922i	0.629102	−	0.663453i
$237$	−19.8921	+	6.03789i	−1.29213	+	0.392203i
$238$	−12.5094	−	6.47425i	−0.810864	−	0.419663i
$239$	−7.97805	−	7.97805i	−0.516057	−	0.516057i	0.400319	−	0.916376i	$-0.368899\pi$
$239$	−7.97805	−	7.97805i	−0.516057	−	0.516057i	−0.916376	+	0.400319i	$0.868899\pi$
$240$	−23.9265	+	3.65245i	−1.54445	+	0.235765i
$241$	11.5323	−	11.5323i	0.742862	−	0.742862i	−0.230265	−	0.973128i	$-0.573959\pi$
$241$	11.5323	−	11.5323i	0.742862	−	0.742862i	0.973128	+	0.230265i	$0.0739594\pi$
$242$	14.3168	−	4.55149i	0.920316	−	0.292581i
$243$	9.89944	+	12.0416i	0.635049	+	0.772472i
$244$	−20.7976	−	7.97414i	−1.33143	−	0.510492i
$245$	−3.25729	+	0.647916i	−0.208101	+	0.0413938i
$246$	4.20801	−	2.89434i	0.268293	−	0.184537i
$247$	12.8355	−	30.9876i	0.816701	−	1.97169i
$248$	−6.09483	−	1.58662i	−0.387022	−	0.100751i
$249$	−0.553902	−	5.61408i	−0.0351021	−	0.355778i
$250$	3.02293	−	10.4637i	0.191187	−	0.661783i
$251$	12.1731	−	18.2184i	0.768360	−	1.14993i	−0.216449	−	0.976294i	$-0.569448\pi$
$251$	12.1731	−	18.2184i	0.768360	−	1.14993i	0.984809	−	0.173639i	$-0.0555524\pi$
$252$	10.1504	−	10.7119i	0.639416	−	0.674788i
$253$	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	$0.591102\pi$
$258$	−12.2476	−	4.88113i	−0.762503	−	0.303886i
$259$	1.12896	−	5.67567i	0.0701502	−	0.352669i
$260$	6.41803	−	37.4381i	0.398029	−	2.32181i
$261$	−7.43913	−	17.9424i	−0.460471	−	1.11061i
$262$	−15.5856	−	4.50262i	−0.962879	−	0.278173i
$263$	10.3345	−	4.28069i	0.637253	−	0.263959i	−0.0405784	−	0.999176i	$-0.512920\pi$
$263$	10.3345	−	4.28069i	0.637253	−	0.263959i	0.677831	+	0.735218i	$0.262920\pi$
$264$	−2.56678	−	1.57026i	−0.157974	−	0.0966429i
$265$	8.62712	+	3.57347i	0.529960	+	0.219517i
$266$	13.3925	−	16.7682i	0.821145	−	1.02812i
$267$	−0.142069	+	1.44497i	−0.00869449	+	0.0884306i
$268$	−2.18077	+	5.68773i	−0.133212	+	0.347434i
$269$	−24.0832	+	16.0919i	−1.46838	+	0.981139i	−0.473421	+	0.880836i	$0.656981\pi$
$269$	−24.0832	+	16.0919i	−1.46838	+	0.981139i	−0.994957	+	0.100303i	$0.968019\pi$
$270$	21.5401	+	13.9667i	1.31089	+	0.849989i
$271$	8.82755	+	8.82755i	0.536235	+	0.536235i	0.922421	−	0.386186i	$-0.126208\pi$
$271$	8.82755	+	8.82755i	0.536235	+	0.536235i	−0.386186	+	0.922421i	$0.626208\pi$
$272$	−14.6147	+	6.98483i	−0.886145	+	0.423517i
$273$	10.9207	+	20.4229i	0.660953	+	1.23605i
$274$	−5.19022	+	10.0284i	−0.313553	+	0.605840i
$275$	3.67933	−	2.45845i	0.221872	−	0.148250i
$276$	9.17484	+	16.1133i	0.552261	+	0.969905i
$277$	−24.1644	+	4.80659i	−1.45190	+	0.288800i	−0.857131	−	0.515099i	$-0.827755\pi$
$277$	−24.1644	+	4.80659i	−1.45190	+	0.288800i	−0.594766	+	0.803899i	$0.702755\pi$
$278$	−29.8318	+	3.33887i	−1.78919	+	0.200252i
$279$	3.71309	+	5.55295i	0.222297	+	0.332447i
$280$	10.5933	−	21.8728i	0.633069	−	1.30715i
$281$	25.9295	−	10.7403i	1.54682	−	0.640715i	0.564085	−	0.825717i	$-0.309229\pi$
$281$	25.9295	−	10.7403i	1.54682	−	0.640715i	0.982738	+	0.185002i	$0.0592291\pi$
$282$	−19.6729	+	4.18910i	−1.17150	+	0.249457i
$283$	−4.84313	+	7.24825i	−0.287894	+	0.430864i	−0.947023	−	0.321166i	$-0.895925\pi$
$283$	−4.84313	+	7.24825i	−0.287894	+	0.430864i	0.659129	+	0.752030i	$0.270925\pi$
$284$	−3.09365	+	0.701288i	−0.183574	+	0.0416138i
$285$	32.9268	+	17.5926i	1.95042	+	1.04209i
$286$	3.61018	−	3.04395i	0.213475	−	0.179993i
$287$			5.12826i			0.302712i
$288$	−2.78642	−	16.7402i	−0.164191	−	0.986429i
$289$			0.601449i			0.0353793i
$290$	−20.6194	−	24.4550i	−1.21081	−	1.43604i
$291$	−6.78591	−	3.62566i	−0.397797	−	0.212540i
$292$	13.5765	+	8.55872i	0.794502	+	0.500861i
$293$	9.48368	−	14.1933i	0.554043	−	0.829183i	−0.443711	−	0.896170i	$-0.646338\pi$
$293$	9.48368	−	14.1933i	0.554043	−	0.829183i	0.997754	+	0.0669864i	$0.0213384\pi$
$294$	−0.484977	−	2.27755i	−0.0282844	−	0.132830i
$295$	−22.6667	+	9.38887i	−1.31971	+	0.546641i
$296$	−4.42336	−	4.97192i	−0.257103	−	0.288987i
$297$	0.928005	+	3.05362i	0.0538483	+	0.177189i
$298$	2.61688	+	23.3810i	0.151592	+	1.35442i
$299$	−28.5403	+	5.67702i	−1.65053	+	0.328310i
$300$	24.0677	+	6.60359i	1.38955	+	0.381258i
$301$	11.0075	−	7.35494i	0.634459	−	0.423932i
$302$	7.81711	+	4.04575i	0.449824	+	0.232807i
$303$	−7.54930	−	14.1180i	−0.433696	−	0.811057i
$304$	−6.09334	−	23.9145i	−0.349477	−	1.37159i
$305$	27.5113	+	27.5113i	1.57529	+	1.57529i
$306$	16.5073	+	4.76282i	0.943657	+	0.272272i
$307$	13.2446	−	8.84977i	0.755911	−	0.505083i	−0.116899	−	0.993144i	$-0.537295\pi$
$307$	13.2446	−	8.84977i	0.755911	−	0.505083i	0.872810	+	0.488060i	$0.162295\pi$
$308$	2.75966	−	1.22997i	0.157246	−	0.0700838i
$309$	0.531047	−	5.40122i	0.0302102	−	0.307264i
$310$	8.59581	+	6.86535i	0.488209	+	0.389926i
$311$	11.4654	+	4.74912i	0.650142	+	0.269298i	0.683284	−	0.730153i	$-0.260551\pi$
$311$	11.4654	+	4.74912i	0.650142	+	0.269298i	−0.0331416	+	0.999451i	$0.510551\pi$
$312$	26.3081	+	4.14646i	1.48940	+	0.234747i
$313$	22.8548	−	9.46677i	1.29183	−	0.535094i	0.372300	−	0.928112i	$-0.378569\pi$
$313$	22.8548	−	9.46677i	1.29183	−	0.535094i	0.919530	+	0.393019i	$0.128569\pi$
$314$	−0.153211	+	0.530332i	−0.00864621	+	0.0299284i
$315$	−23.8117	+	9.87260i	−1.34164	+	0.556258i
$316$	−13.8615	−	19.5974i	−0.779773	−	1.10244i
$317$	3.59988	−	18.0978i	0.202190	−	1.01648i	−0.737734	−	0.675091i	$-0.764104\pi$
$317$	3.59988	−	18.0978i	0.202190	−	1.01648i	0.939924	−	0.341384i	$-0.110896\pi$
$318$	−2.42395	+	6.08213i	−0.135928	+	0.341069i
$319$		−	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
$324$	−9.58879	+	15.2334i	−0.532710	+	0.846298i
$325$	−21.7599	+	32.5660i	−1.20702	+	1.80644i
$326$	−1.32596	−	0.383067i	−0.0734384	−	0.0212161i
$327$	−1.32686	−	13.4484i	−0.0733753	−	0.743697i
$328$	4.70420	+	3.55667i	0.259746	+	0.196384i
$329$	7.72887	−	18.6591i	0.426106	−	1.02871i
$330$	2.97859	+	4.33049i	0.163966	+	0.238386i
$331$	−1.28831	+	0.256261i	−0.0708120	+	0.0140854i	−0.230369	−	0.973103i	$-0.573993\pi$
$331$	−1.28831	+	0.256261i	−0.0708120	+	0.0140854i	0.159557	+	0.987189i	$0.448993\pi$
$332$	5.94986	−	2.65183i	0.326541	−	0.145538i
$333$	0.00239695	+	7.05846i	0.000131352	+	0.386801i
$334$	−1.56736	−	4.93015i	−0.0857621	−	0.269766i
$335$	7.52382	−	7.52382i	0.411070	−	0.411070i
$336$	15.4348	+	7.22054i	0.842036	+	0.393913i
$337$	7.71679	+	7.71679i	0.420360	+	0.420360i	0.885328	−	0.464968i	$-0.153934\pi$
$337$	7.71679	+	7.71679i	0.420360	+	0.420360i	−0.464968	+	0.885328i	$0.653934\pi$
$338$	−10.7610	+	20.7921i	−0.585319	+	1.13094i
$339$	19.7073	−	5.98179i	1.07035	−	0.324886i
$340$	28.2839	−	0.751666i	1.53391	−	0.0407648i
$341$	0.266813	+	1.34136i	0.0144487	+	0.0726386i
$342$	−12.0234	+	23.2507i	−0.650152	+	1.25726i
$343$	18.0664	+	7.48336i	0.975496	+	0.404064i
$344$	0.887375	−	15.1982i	0.0478440	−	0.819432i
$345$	−3.18012	−	32.2322i	−0.171212	−	1.73532i
$346$	7.75356	+	14.0536i	0.416834	+	0.755524i
$347$	−25.3489	−	16.9376i	−1.36080	−	0.909259i	−0.361074	−	0.932537i	$-0.617590\pi$
$347$	−25.3489	−	16.9376i	−1.36080	−	0.909259i	−0.999729	+	0.0232778i	$0.992590\pi$
$348$	16.9507	−	14.6868i	0.908652	−	0.787295i
$349$	2.71948	−	13.6718i	0.145571	−	0.731833i	−0.837184	−	0.546921i	$-0.815800\pi$
$349$	2.71948	−	13.6718i	0.145571	−	0.731833i	0.982755	−	0.184912i	$-0.0592001\pi$
$350$	−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	$-0.309013\pi$
$353$	21.2174			1.12929			0.564645	+	0.825334i	$0.309013\pi$
$354$	−6.79630	−	15.8029i	−0.361219	−	0.839916i
$355$	5.43447	+	1.08098i	0.288431	+	0.0573726i
$356$	−1.63507	+	0.370647i	−0.0866583	+	0.0196443i
$357$	−13.3334	+	10.9463i	−0.705681	+	0.579338i
$358$	2.46064	+	4.46000i	0.130049	+	0.235718i
$359$	−1.52654	−	3.68538i	−0.0805675	−	0.194507i	0.878463	−	0.477811i	$-0.158570\pi$
$359$	−1.52654	−	3.68538i	−0.0805675	−	0.194507i	−0.959030	+	0.283304i	$0.908570\pi$
$360$	−7.45819	+	28.6898i	−0.393081	+	1.51208i
$361$	−7.29563	+	17.6132i	−0.383981	+	0.927011i
$362$	2.46178	+	21.9952i	0.129388	+	1.15604i
$363$	1.80032	−	18.3108i	0.0944924	−	0.961070i
$364$	−18.4005	+	19.4053i	−0.964451	+	1.01711i
$365$	−15.5747	−	23.3091i	−0.815215	−	1.22006i
$366$	−19.0285	+	19.5475i	−0.994634	+	1.02177i
$367$	1.31681	−	1.31681i	0.0687369	−	0.0687369i	−0.671903	−	0.740639i	$-0.734523\pi$
$367$	1.31681	−	1.31681i	0.0687369	−	0.0687369i	0.740639	+	0.671903i	$0.234523\pi$
$368$	−14.3142	+	15.9224i	−0.746179	+	0.830015i
$369$	−1.22240	−	6.13454i	−0.0636357	−	0.319351i
$370$	3.52181	+	11.0779i	0.183090	+	0.575912i
$371$	−3.65244	−	5.46626i	−0.189625	−	0.283794i
$372$	−4.73216	+	6.09123i	−0.245351	+	0.315816i
$373$	2.03388	+	10.2250i	0.105310	+	0.529431i	0.997041	+	0.0768656i	$0.0244912\pi$
$373$	2.03388	+	10.2250i	0.105310	+	0.529431i	−0.891731	+	0.452566i	$0.850509\pi$
$374$	2.74847	+	2.19516i	0.142120	+	0.113509i
$375$	−10.3130	−	8.46071i	−0.532559	−	0.436909i
$376$	−11.7559	−	20.0307i	−0.606264	−	1.03300i
$377$	13.4697	+	32.5187i	0.693724	+	1.67480i
$378$	−7.14624	−	16.6011i	−0.367563	−	0.853868i
$379$	−2.77243	−	1.85248i	−0.142410	−	0.0951554i	0.482324	−	0.875993i	$-0.339793\pi$
$379$	−2.77243	−	1.85248i	−0.142410	−	0.0951554i	−0.624734	+	0.780837i	$0.714793\pi$
$380$	−7.28364	+	42.4874i	−0.373643	+	2.17956i
$381$	15.6855	+	8.38062i	0.803590	+	0.429352i
$382$	3.86756	+	0.329109i	0.197882	+	0.0168387i
$383$	−17.1813			−0.877922			−0.438961	−	0.898506i	$-0.644653\pi$
$383$	−17.1813			−0.877922			−0.438961	+	0.898506i	$0.644653\pi$
$384$	17.3281	−	9.15072i	0.884273	−	0.466971i
$385$	−5.27753			−0.268968
$386$	−23.8330	−	2.02806i	−1.21307	−	0.103225i
$387$	−11.4142	+	11.4219i	−0.580216	+	0.580610i
$388$	1.50109	−	8.75626i	0.0762063	−	0.444532i
$389$	−16.3944	−	10.9544i	−0.831230	−	0.555410i	0.0655690	−	0.997848i	$-0.479114\pi$
$389$	−16.3944	−	10.9544i	−0.831230	−	0.555410i	−0.896799	+	0.442438i	$0.854114\pi$
$390$	−39.0250	−	25.3229i	−1.97611	−	1.28228i
$391$	−8.29496	−	20.0258i	−0.419494	−	1.01275i
$392$	2.31897	−	1.36099i	0.117126	−	0.0687406i
$393$	−12.6021	+	15.3610i	−0.635693	+	0.774862i
$394$	−29.9626	−	23.9307i	−1.50949	−	1.20561i
$395$	8.18001	+	41.1237i	0.411581	+	2.06916i
$396$	−3.00798	+	2.12912i	−0.151157	+	0.106992i
$397$	−1.88169	−	2.81614i	−0.0944391	−	0.141338i	0.781241	−	0.624229i	$-0.214587\pi$
$397$	−1.88169	−	2.81614i	−0.0944391	−	0.141338i	−0.875681	+	0.482891i	$0.839587\pi$
$398$	−5.18142	−	16.2982i	−0.259721	−	0.816956i
$399$	−12.3936	−	23.1774i	−0.620458	−	1.16032i
$400$	1.53064	+	28.7775i	0.0765321	+	1.43887i
$401$	−5.84082	+	5.84082i	−0.291677	+	0.291677i	−0.837742	−	0.546066i	$-0.816125\pi$
$401$	−5.84082	+	5.84082i	−0.291677	+	0.291677i	0.546066	+	0.837742i	$0.316125\pi$
$402$	5.34587	+	5.20392i	0.266628	+	0.259548i
$403$	−6.72522	−	10.0650i	−0.335007	−	0.501373i
$404$	12.7200	−	13.4145i	0.632841	−	0.667396i
$405$	26.1308	−	17.4857i	1.29845	−	0.868872i
$406$	2.50491	+	22.3806i	0.124317	+	1.11073i
$407$	−0.553024	+	1.33512i	−0.0274124	+	0.0661794i
$408$	0.793802	+	19.8226i	0.0392991	+	0.981364i
$409$	−0.0666160	−	0.160825i	−0.00329395	−	0.00795229i	0.922224	−	0.386656i	$-0.126370\pi$
$409$	−0.0666160	−	0.160825i	−0.00329395	−	0.00795229i	−0.925518	+	0.378704i	$0.876370\pi$
$410$	−4.97625	−	9.01962i	−0.245760	−	0.445447i
$411$	8.77532	+	10.6891i	0.432854	+	0.527252i
$412$	6.11179	−	1.38546i	0.301106	−	0.0682567i
$413$	16.9411	+	3.36979i	0.833617	+	0.165817i
$414$	22.5678	−	2.53362i	1.10914	−	0.124521i
$415$	−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	0.164375	+	0.986398i	$0.447439\pi$
$419$	−7.47066	+	37.5576i	−0.364966	+	1.83481i	−0.529341	+	0.848409i	$0.677561\pi$
$420$	−19.4911	−	22.4956i	−0.951069	−	1.09767i
$421$	6.20345	+	4.14501i	0.302338	+	0.202016i	0.697480	−	0.716604i	$-0.254305\pi$
$421$	6.20345	+	4.14501i	0.302338	+	0.202016i	−0.395142	+	0.918620i	$0.629305\pi$
$422$	2.88487	+	5.22891i	0.140433	+	0.254540i
$423$	−4.79774	+	24.1628i	−0.233274	+	1.17483i
$424$	−7.54738	−	0.440667i	−0.366533	−	0.0214007i
$425$	−26.9540	−	11.1647i	−1.30746	−	0.541569i
$426$	−0.706604	+	3.82026i	−0.0342351	+	0.185092i
$427$	−5.34387	−	26.8654i	−0.258608	−	1.30011i
$428$	25.5251	−	0.678347i	1.23380	−	0.0327891i
$429$	−1.67980	−	5.53416i	−0.0811013	−	0.267192i
$430$	−12.2230	+	23.6171i	−0.589447	+	1.13892i
$431$	11.6262	+	11.6262i	0.560015	+	0.560015i	0.929312	−	0.369296i	$-0.120401\pi$
$431$	11.6262	+	11.6262i	0.560015	+	0.560015i	−0.369296	+	0.929312i	$0.620401\pi$
$432$	−20.1845	−	4.95824i	−0.971129	−	0.238553i
$433$	−22.3988	+	22.3988i	−1.07642	+	1.07642i	−0.0795883	+	0.996828i	$0.525361\pi$
$433$	−22.3988	+	22.3988i	−1.07642	+	1.07642i	−0.996828	+	0.0795883i	$0.974639\pi$
$434$	−2.34653	−	7.38103i	−0.112637	−	0.354301i
$435$	−37.4877	+	11.3787i	−1.79740	+	0.545568i
$436$	14.2527	−	6.35237i	0.682582	−	0.304224i
$437$	32.3896	−	6.44269i	1.54940	−	0.308196i
$438$	16.1950	−	11.1392i	0.773825	−	0.532251i
$439$	−10.4289	+	25.1776i	−0.497744	+	1.20166i	0.452952	+	0.891535i	$0.350371\pi$
$439$	−10.4289	+	25.1776i	−0.497744	+	1.20166i	−0.950696	+	0.310125i	$0.899629\pi$
$440$	−3.66019	+	4.84113i	−0.174493	+	0.230792i
$441$	−2.79735	−	0.555440i	−0.133207	−	0.0264495i
$442$	−29.9105	−	8.64105i	−1.42270	−	0.411013i
$443$	15.9395	−	23.8551i	0.757308	−	1.13339i	−0.229785	−	0.973241i	$-0.573802\pi$
$443$	15.9395	−	23.8551i	0.757308	−	1.13339i	0.987093	−	0.160150i	$-0.0511978\pi$
$444$	−7.73341	+	2.57362i	−0.367011	+	0.122139i
$445$	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	$-0.336821\pi$
$450$	19.0673	−	23.8900i	0.898842	−	1.12619i
$451$	0.249843	−	1.25605i	0.0117647	−	0.0591449i
$452$	13.7328	+	19.4153i	0.645934	+	0.913221i
$453$	8.33206	−	6.84031i	0.391474	−	0.321386i
$454$	1.67253	−	5.78937i	0.0784958	−	0.271709i
$455$	43.1562	−	17.8759i	2.02319	−	0.838034i
$456$	−29.8564	−	4.70571i	−1.39815	−	0.220365i
$457$	−2.70324	−	1.11972i	−0.126452	−	0.0523781i	0.318560	−	0.947903i	$-0.396801\pi$
$457$	−2.70324	−	1.11972i	−0.126452	−	0.0523781i	−0.445012	+	0.895524i	$0.646801\pi$
$458$	6.54763	+	5.22950i	0.305951	+	0.244358i
$459$	13.3405	−	16.2724i	0.622683	−	0.759530i
$460$	34.1600	−	15.2249i	1.59272	−	0.709867i
$461$	18.5126	−	12.3697i	0.862220	−	0.576117i	−0.0439489	−	0.999034i	$-0.513994\pi$
$461$	18.5126	−	12.3697i	0.862220	−	0.576117i	0.906168	+	0.422917i	$0.138994\pi$
$462$	−0.0497853	−	3.70004i	−0.00231622	−	0.172141i
$463$	1.41691	+	1.41691i	0.0658494	+	0.0658494i	0.739265	−	0.673415i	$-0.235173\pi$
$463$	1.41691	+	1.41691i	0.0658494	+	0.0658494i	−0.673415	+	0.739265i	$0.735173\pi$
$464$	22.2672	+	13.2241i	1.03373	+	0.613913i
$465$	11.8814	−	6.35332i	0.550985	−	0.294628i
$466$	1.81367	+	0.938668i	0.0840169	+	0.0434830i
$467$	−8.53766	+	5.70468i	−0.395076	+	0.263981i	−0.737201	−	0.675673i	$-0.763853\pi$
$467$	−8.53766	+	5.70468i	−0.395076	+	0.263981i	0.342126	+	0.939654i	$0.388853\pi$
$468$	17.3856	−	27.5990i	0.803649	−	1.27577i
$469$	−7.34718	+	1.46145i	−0.339261	+	0.0674833i
$470$	4.51248	+	40.3176i	0.208145	+	1.85971i
$471$	0.522692	+	0.428814i	0.0240844	+	0.0197587i
$472$	14.8405	−	13.2031i	0.683090	−	0.607723i
$473$	−3.05434	+	1.26515i	−0.140439	+	0.0581716i
$474$	−28.7544	+	6.12288i	−1.32073	+	0.281233i
$475$	24.6947	−	36.9583i	1.13307	−	1.69576i
$476$	−16.8509	−	10.6230i	−0.772362	−	0.486904i
$477$	5.67210	+	5.66825i	0.259707	+	0.259531i
$478$	−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	$0.966293\pi$
$480$	−34.1533	+	2.27775i	−1.55888	+	0.103965i
$481$		−	12.7909i		−	0.583215i
$482$	17.6333	−	14.8676i	0.803173	−	0.677202i
$483$	−10.7457	+	20.1120i	−0.488947	+	0.915129i
$484$	20.7198	−	4.69690i	0.941809	−	0.213495i
$485$	−8.62140	+	12.9028i	−0.391478	+	0.585888i
$486$	12.5056	+	18.1552i	0.567266	+	0.823535i
$487$	28.9582	−	11.9949i	1.31222	−	0.543540i	0.386689	−	0.922210i	$-0.373619\pi$
$487$	28.9582	−	11.9949i	1.31222	−	0.543540i	0.925531	+	0.378671i	$0.123619\pi$
$488$	−28.3501	−	13.7303i	−1.28335	−	0.621543i
$489$	−1.07214	+	1.30686i	−0.0484840	+	0.0590984i
$490$	−4.66761	+	0.522415i	−0.210861	+	0.0236003i
$491$	−37.8252	+	7.52390i	−1.70703	+	0.339549i	−0.949622	−	0.313397i	$-0.898533\pi$
$491$	−37.8252	+	7.52390i	−1.70703	+	0.339549i	−0.757404	+	0.652946i	$0.773533\pi$
$492$	6.27665	−	3.57390i	0.282973	−	0.161124i
$493$	−21.7999	+	14.5662i	−0.981818	+	0.656030i
$494$	21.8024	−	42.1261i	0.980937	−	1.89534i
$495$	6.31310	−	1.25798i	0.283753	−	0.0565421i
$496$	−8.39810	−	2.96656i	−0.377086	−	0.133203i
$497$	−2.75843	−	2.75843i	−0.123732	−	0.123732i
$498$	−0.107338	−	7.97734i	−0.00480992	−	0.357473i
$499$	−4.53023	+	3.02700i	−0.202801	+	0.135507i	−0.652824	−	0.757510i	$-0.726416\pi$
$499$	−4.53023	+	3.02700i	−0.202801	+	0.135507i	0.450023	+	0.893017i	$0.351416\pi$
$500$	5.51436	−	14.3822i	0.246610	−	0.643189i
$501$	−6.30556	−	0.619962i	−0.281712	−	0.0276979i
$502$	19.3379	−	24.2122i	0.863094	−	1.08064i
$503$	−30.0123	−	12.4315i	−1.33818	−	0.554294i	−0.405205	−	0.914226i	$-0.632800\pi$
$503$	−30.0123	−	12.4315i	−1.33818	−	0.554294i	−0.932979	+	0.359932i	$0.882800\pi$
$504$	15.5876	−	13.8773i	0.694328	−	0.618144i
$505$	−29.8331	+	12.3573i	−1.32755	+	0.549891i
$506$	4.46680	+	1.29044i	0.198573	+	0.0573672i
$507$	18.1940	+	22.1618i	0.808024	+	0.984239i
$508$	−3.46973	+	20.2399i	−0.153944	+	0.897999i
$509$	−5.29621	+	26.6259i	−0.234751	+	1.18017i	0.666040	+	0.745916i	$0.267988\pi$
$509$	−5.29621	+	26.6259i	−0.234751	+	1.18017i	−0.900790	+	0.434254i	$0.857012\pi$
$510$	12.8291	−	32.1906i	0.568084	−	1.42542i
$511$			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
$516$	−16.6731	−	8.34670i	−0.733992	−	0.367443i
$517$	−2.80206	+	4.19357i	−0.123234	+	0.184433i
$518$	2.27140	−	7.86233i	0.0997997	−	0.345451i
$519$	19.5629	−	1.93013i	0.858714	−	0.0847232i
$520$	13.5329	−	51.9852i	0.593458	−	2.27970i
$521$	0.731080	−	1.76498i	0.0320292	−	0.0773254i	−0.907056	−	0.421011i	$-0.861675\pi$
$521$	0.731080	−	1.76498i	0.0320292	−	0.0773254i	0.939085	+	0.343686i	$0.111675\pi$
$522$	−8.33119	−	26.1750i	−0.364646	−	1.14565i
$523$	36.9977	−	7.35930i	1.61780	−	0.321800i	0.698574	−	0.715538i	$-0.253818\pi$
$523$	36.9977	−	7.35930i	1.61780	−	0.321800i	0.919223	+	0.393738i	$0.128818\pi$
$524$	−21.4220	−	8.21358i	−0.935826	−	0.358812i
$525$	8.91431	+	29.3686i	0.389052	+	1.28175i
$526$	15.0759	−	4.79282i	0.657339	−	0.208977i
$527$	6.37592	−	6.37592i	0.277739	−	0.277739i
$528$	−3.42861	−	2.52047i	−0.149211	−	0.109689i
$529$	−3.99606	−	3.99606i	−0.173742	−	0.173742i
$530$	11.7282	+	6.06992i	0.509439	+	0.263660i
$531$	−21.0685	+	0.00715458i	−0.914297	+	0.000310482i
$532$	20.8823	−	22.0225i	0.905361	−	0.954796i
$533$	2.21138	+	11.1174i	0.0957857	+	0.481547i
$534$	−0.373457	+	2.01910i	−0.0161610	+	0.0873750i
$535$	−41.2066	−	17.0683i	−1.78152	−	0.737928i
$536$	−3.75498	+	7.75321i	−0.162191	+	0.334888i
$537$	6.20841	−	0.612539i	0.267913	−	0.0264330i
$538$	−35.8657	+	19.7876i	−1.54628	+	0.853105i
$539$	−0.485495	−	0.324397i	−0.0209117	−	0.0139728i
$540$	28.6778	+	22.2637i	1.23410	+	0.958075i
$541$	3.63705	−	18.2847i	0.156369	−	0.786120i	−0.820394	−	0.571798i	$-0.806246\pi$
$541$	3.63705	−	18.2847i	0.156369	−	0.786120i	0.976763	−	0.214322i	$-0.0687540\pi$
$542$	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
$546$	12.9398	+	30.0879i	0.553771	+	1.28764i
$547$	33.5663	+	6.67676i	1.43519	+	0.285477i	0.850584	−	0.525839i	$-0.176248\pi$
$547$	33.5663	+	6.67676i	1.43519	+	0.285477i	0.584608	+	0.811316i	$0.301248\pi$
$548$	−8.51615	+	13.5089i	−0.363792	+	0.577073i
$549$	12.7962	+	30.8632i	0.546131	+	1.31721i
$550$	5.47940	−	3.02307i	0.233643	−	0.128904i
$551$	−15.2864	−	36.9046i	−0.651222	−	1.57219i
$552$	10.9963	+	23.8057i	0.468036	+	1.01324i
$553$	11.2967	−	27.2726i	0.480384	−	1.15975i
$554$	−34.6269	+	3.87556i	−1.47115	+	0.164657i
$555$	14.1684	+	1.39304i	0.601415	+	0.0591311i
$556$	−42.4370	+	1.12779i	−1.79973	+	0.0478290i
$557$	4.76303	+	7.12838i	0.201816	+	0.302039i	0.918548	−	0.395310i	$-0.129363\pi$
$557$	4.76303	+	7.12838i	0.201816	+	0.302039i	−0.716732	+	0.697349i	$0.754363\pi$
$558$	4.56635	+	8.27001i	0.193309	+	0.350098i
$559$	20.6911	−	20.6911i	0.875141	−	0.875141i
$560$	17.5499	−	29.5512i	0.741620	−	1.24876i
$561$	3.79900	−	2.03144i	0.160394	−	0.0857674i
$562$	37.8256	−	12.0253i	1.59558	−	0.507256i
$563$	14.0689	+	21.0556i	0.592934	+	0.887388i	0.999658	−	0.0261630i	$-0.00832890\pi$
$563$	14.0689	+	21.0556i	0.592934	+	0.887388i	−0.406724	+	0.913551i	$0.633329\pi$
$564$	−28.2238	+	3.54400i	−1.18844	+	0.149229i
$565$	−8.10400	−	40.7416i	−0.340938	−	1.71401i
$566$	−7.69368	+	9.63293i	−0.323389	+	0.404902i
$567$	−22.1359	+	0.0150341i	−0.929619	+	0.000631372i
$568$	−4.44342	+	0.617245i	−0.186442	+	0.0258990i
$569$	−1.61886	−	3.90827i	−0.0678662	−	0.163843i	0.886307	−	0.463098i	$-0.153262\pi$
$569$	−1.61886	−	3.90827i	−0.0678662	−	0.163843i	−0.954173	+	0.299254i	$0.903262\pi$
$570$	44.2884	+	28.7383i	1.85504	+	1.20371i
$571$	−38.8066	−	25.9298i	−1.62401	−	1.08513i	−0.931516	−	0.363701i	$-0.881513\pi$
$571$	−38.8066	−	25.9298i	−1.62401	−	1.08513i	−0.692491	−	0.721426i	$-0.743487\pi$
$572$	5.45218	−	3.85641i	0.227967	−	0.161244i
$573$	2.24026	−	4.19294i	0.0935882	−	0.175163i
$574$	−0.614922	+	7.22634i	−0.0256664	+	0.301622i
$575$	−38.5636			−1.60821
$576$	−1.91910	−	23.9231i	−0.0799625	−	0.996798i
$577$	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
$579$	−13.8051	+	25.8381i	−0.573720	+	1.07379i
$580$	−26.1228	−	36.9324i	−1.08469	−	1.53354i
$581$	6.66074	+	4.45056i	0.276334	+	0.184641i
$582$	−9.12742	−	5.92269i	−0.378344	−	0.245503i
$583$	0.628269	+	1.51678i	0.0260202	+	0.0628184i
$584$	18.1046	+	13.6882i	0.749174	+	0.566422i
$585$	−47.3633	+	31.6704i	−1.95823	+	1.30941i
$586$	15.0656	−	18.8630i	0.622352	−	0.779221i
$587$	−5.10964	−	25.6879i	−0.210898	−	1.06025i	−0.930619	−	0.365990i	$-0.880730\pi$
$587$	−5.10964	−	25.6879i	−0.210898	−	1.06025i	0.719721	−	0.694263i	$-0.244270\pi$
$588$	−0.410293	−	3.26750i	−0.0169202	−	0.134750i
$589$	7.63226	+	11.4225i	0.314482	+	0.470655i
$590$	−33.0660	+	10.5121i	−1.36131	+	0.432777i
$591$	−41.4151	+	22.1459i	−1.70359	+	0.910961i
$592$	−5.63687	−	7.53643i	−0.231674	−	0.309746i
$593$	6.62127	−	6.62127i	0.271903	−	0.271903i	−0.557963	−	0.829866i	$-0.688417\pi$
$593$	6.62127	−	6.62127i	0.271903	−	0.271903i	0.829866	+	0.557963i	$0.188417\pi$
$594$	0.941516	+	4.41420i	0.0386309	+	0.181117i
$595$	19.3311	+	28.9310i	0.792498	+	1.18606i
$596$	0.883919	+	33.2604i	0.0362067	+	1.36240i
$597$	−20.8451	−	2.04949i	−0.853133	−	0.0838800i
$598$	−40.8975	+	4.57738i	−1.67242	+	0.187183i
$599$	0.619193	−	1.49486i	0.0252995	−	0.0610785i	−0.910725	−	0.413014i	$-0.864476\pi$
$599$	0.619193	−	1.49486i	0.0252995	−	0.0610785i	0.936024	+	0.351935i	$0.114476\pi$
$600$	33.1225	+	12.1912i	1.35222	+	0.497703i
$601$	5.47980	+	13.2294i	0.223526	+	0.539638i	0.995364	−	0.0961804i	$-0.0306626\pi$
$601$	5.47980	+	13.2294i	0.223526	+	0.539638i	−0.771838	+	0.635819i	$0.780663\pi$
$602$	16.3928	−	9.04412i	0.668119	−	0.368611i
$603$	8.44050	−	3.49953i	0.343724	−	0.142512i
$604$	10.5301	+	6.63829i	0.428465	+	0.270108i
$605$	−36.3975	−	7.23991i	−1.47977	−	0.294344i
$606$	−8.94502	−	20.7992i	−0.363366	−	0.844909i
$607$	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
$612$	22.6896	+	8.69075i	0.917173	+	0.351303i
$613$	−40.3756	−	26.9781i	−1.63076	−	1.08964i	−0.924149	−	0.382031i	$-0.875225\pi$
$613$	−40.3756	−	26.9781i	−1.63076	−	1.08964i	−0.706608	−	0.707606i	$-0.749775\pi$
$614$	19.7244	−	10.8823i	0.796014	−	0.439172i
$615$	−12.5555	+	1.23876i	−0.506286	+	0.0499516i
$616$	4.03617	−	1.40226i	0.162622	−	0.0564989i
$617$	−12.4741	−	5.16696i	−0.502190	−	0.208014i	0.117184	−	0.993110i	$-0.462613\pi$
$617$	−12.4741	−	5.16696i	−0.502190	−	0.208014i	−0.619374	+	0.785096i	$0.712613\pi$
$618$	1.39596	−	7.54729i	0.0561538	−	0.303596i
$619$	2.74740	+	13.8121i	0.110427	+	0.555155i	0.995900	+	0.0904633i	$0.0288348\pi$
$619$	2.74740	+	13.8121i	0.110427	+	0.555155i	−0.885473	+	0.464692i	$0.846165\pi$
$620$	11.2893	+	10.7048i	0.453390	+	0.429916i
$621$	8.06024	−	26.6199i	0.323446	−	1.06822i
$622$	15.5866	+	8.06688i	0.624968	+	0.323452i
$623$	−1.45789	−	1.45789i	−0.0584093	−	0.0584093i
$624$	36.5741	+	8.99744i	1.46414	+	0.360186i
$625$	6.44695	−	6.44695i	0.257878	−	0.257878i
$626$	33.3403	−	10.5993i	1.33255	−	0.423635i
$627$	1.90635	+	6.28056i	0.0761324	+	0.250822i
$628$	−0.279485	+	0.728931i	−0.0111526	+	0.0290875i
$629$	9.34470	−	1.85878i	0.372598	−	0.0741143i
$630$	−34.7374	+	11.0565i	−1.38397	+	0.440500i
$631$	−3.93765	+	9.50633i	−0.156755	+	0.378441i	−0.982672	−	0.185351i	$-0.940658\pi$
$631$	−3.93765	+	9.50633i	−0.156755	+	0.378441i	0.825917	+	0.563792i	$0.190658\pi$
$632$	−17.1827	−	29.2773i	−0.683491	−	1.16459i
$633$	7.27875	−	0.718143i	0.289305	−	0.0285436i
$634$	7.24275	−	25.0704i	0.287647	−	0.995672i
$635$	19.9281	−	29.8246i	0.790824	−	1.18355i
$636$	−4.14494	+	8.27980i	−0.164358	+	0.328315i
$637$	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	$-0.226132\pi$
$642$	11.5778	−	29.0507i	0.456938	−	1.14654i
$643$	−3.10010	+	15.5853i	−0.122256	+	0.614622i	0.870269	+	0.492577i	$0.163945\pi$
$643$	−3.10010	+	15.5853i	−0.122256	+	0.614622i	−0.992525	+	0.122045i	$0.961055\pi$
$644$	−25.9517	−	4.44892i	−1.02264	−	0.175312i
$645$	20.6660	+	25.1728i	0.813722	+	0.991180i
$646$	33.9446	+	9.80649i	1.33553	+	0.385831i
$647$	−43.4824	+	18.0110i	−1.70947	+	0.708085i	−0.709473	+	0.704732i	$0.751067\pi$
$647$	−43.4824	+	18.0110i	−1.70947	+	0.708085i	−0.999994	+	0.00335257i	$0.998933\pi$
$648$	−15.3384	+	20.3159i	−0.602548	+	0.798083i
$649$	−3.98515	−	1.65070i	−0.156431	−	0.0647957i
$650$	−34.5673	+	43.2803i	−1.35584	+	1.69759i
$651$	−9.44019	−	0.928159i	−0.369990	−	0.0363774i
$652$	−1.82251	−	0.698782i	−0.0713750	−	0.0273664i
$653$	7.15758	−	4.78254i	0.280098	−	0.187155i	−0.407584	−	0.913168i	$-0.633629\pi$
$653$	7.15758	−	4.78254i	0.280098	−	0.187155i	0.687681	+	0.726013i	$0.258629\pi$
$654$	−0.257125	−	19.1095i	−0.0100544	−	0.747241i
$655$	28.3374	+	28.3374i	1.10723	+	1.10723i
$656$	6.20231	+	5.57585i	0.242160	+	0.217700i
$657$	−4.70454	−	23.6094i	−0.183542	−	0.921091i
$658$	13.1283	−	25.3662i	0.511794	−	0.988878i
$659$	1.87470	−	1.25264i	0.0730281	−	0.0487958i	−0.518520	−	0.855065i	$-0.673517\pi$
$659$	1.87470	−	1.25264i	0.0730281	−	0.0487958i	0.591548	+	0.806270i	$0.298517\pi$
$660$	3.67793	+	6.45934i	0.143163	+	0.251430i
$661$	−10.9041	+	2.16895i	−0.424119	+	0.0843625i	−0.402535	−	0.915405i	$-0.631871\pi$
$661$	−10.9041	+	2.16895i	−0.424119	+	0.0843625i	−0.0215837	+	0.999767i	$0.506871\pi$
$662$	−1.84611	+	0.206623i	−0.0717513	+	0.00803064i
$663$	−24.1849	+	29.4796i	−0.939265	+	1.14489i
$664$	8.70205	−	3.02330i	0.337705	−	0.117327i
$665$	−48.9767	+	20.2868i	−1.89924	+	0.786689i
$666$	−0.842992	+	9.94651i	−0.0326653	+	0.385419i
$667$	−19.2538	+	28.8153i	−0.745510	+	1.11573i
$668$	−1.61743	−	7.13511i	−0.0625803	−	0.276066i
$669$	8.30397	−	15.5420i	0.321050	−	0.600888i
$670$	11.5041	−	9.69980i	0.444444	−	0.374736i
$671$			6.84040i			0.264071i
$672$	20.8837	+	12.0254i	0.805605	+	0.463889i
$673$			36.9736i			1.42523i	0.701557	+	0.712613i	$0.252488\pi$
$673$			36.9736i			1.42523i	−0.701557	+	0.712613i	$0.747512\pi$
$674$	9.94858	+	11.7992i	0.383205	+	0.454488i
$675$	−17.6640	−	33.0065i	−0.679886	−	1.27042i
$676$	−17.6567	+	28.0083i	−0.679102	+	1.07724i
$677$	1.40771	−	2.10679i	0.0541028	−	0.0809705i	−0.803432	−	0.595397i	$-0.796995\pi$
$677$	1.40771	−	2.10679i	0.0541028	−	0.0809705i	0.857535	+	0.514426i	$0.171995\pi$
$678$	28.4872	−	6.06599i	1.09404	−	0.232963i
$679$	10.0936	−	4.18092i	0.387358	−	0.160449i
$680$	39.9456	+	2.33230i	1.53185	+	0.0894396i
$681$	−5.70597	−	4.68115i	−0.218653	−	0.179382i
$682$	0.215131	+	1.92213i	0.00823780	+	0.0736021i
$683$	22.4809	−	4.47173i	0.860207	−	0.171106i	0.254773	−	0.967001i	$-0.417999\pi$
$683$	22.4809	−	4.47173i	0.860207	−	0.171106i	0.605435	+	0.795895i	$0.292999\pi$
$684$	−19.7304	+	31.3214i	−0.754411	+	1.19760i
$685$	23.1932	−	15.4972i	0.886167	−	0.592118i
$686$	24.5605	+	12.7113i	0.937723	+	0.485319i
$687$	9.05032	−	4.83947i	0.345291	−	0.184637i
$688$	3.07281	−	21.3097i	0.117150	−	0.812425i
$689$	−10.2751	−	10.2751i	−0.391451	−	0.391451i
$690$	−0.616259	−	45.8004i	−0.0234606	−	1.74359i
$691$	−31.3464	+	20.9450i	−1.19247	+	0.796786i	−0.983460	−	0.181127i	$-0.942026\pi$
$691$	−31.3464	+	20.9450i	−1.19247	+	0.796786i	−0.209014	+	0.977913i	$0.567026\pi$
$692$	9.24056	+	20.7329i	0.351273	+	0.788146i
$693$	−4.18763	−	1.73291i	−0.159075	−	0.0658276i
$694$	−33.6888	−	26.9067i	−1.27881	−	1.02137i
$695$	68.5084	+	28.3771i	2.59867	+	1.07640i
$696$	25.6466	−	18.6629i	0.972134	−	0.707417i
$697$	−7.80071	+	3.23116i	−0.295473	+	0.122389i
$698$	5.47144	−	18.9391i	0.207097	−	0.716855i
$699$	1.93315	−	1.58704i	0.0731184	−	0.0600275i
$700$	−28.9336	+	20.4651i	−1.09359	+	0.773509i
$701$	3.74436	−	18.8242i	0.141422	−	0.710979i	−0.843382	−	0.537314i	$-0.819439\pi$
$701$	3.74436	−	18.8242i	0.141422	−	0.710979i	0.984805	−	0.173665i	$-0.0555609\pi$
$702$	−22.6507	−	32.9073i	−0.854897	−	1.24201i
$703$			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
$708$	−7.68190	−	23.0832i	−0.288704	−	0.867519i
$709$	−20.7550	+	31.0621i	−0.779471	+	1.16656i	0.202823	+	0.979215i	$0.434988\pi$
$709$	−20.7550	+	31.0621i	−0.779471	+	1.16656i	−0.982294	+	0.187345i	$0.940012\pi$
$710$	7.52820	+	2.17487i	0.282528	+	0.0816216i
$711$	−7.01249	+	35.3168i	−0.262989	+	1.32449i
$712$	−2.34845	+	0.326228i	−0.0880119	+	0.0122259i
$713$	4.56107	−	11.0114i	0.170813	−	0.412380i
$714$	−20.1010	+	13.8258i	−0.752261	+	0.517418i
$715$	−11.4410	+	2.27575i	−0.427868	+	0.0851083i
$716$	2.93255	+	6.57973i	0.109595	+	0.245896i
$717$	−18.6997	+	5.67596i	−0.698354	+	0.211973i
$718$	−1.70916	−	5.37620i	−0.0637855	−	0.200638i
$719$	12.4320	−	12.4320i	0.463634	−	0.463634i	−0.436211	−	0.899845i	$-0.643680\pi$
$719$	12.4320	−	12.4320i	0.463634	−	0.463634i	0.899845	+	0.436211i	$0.143680\pi$
$720$	−13.9496	+	39.5330i	−0.519872	+	1.47331i
$721$	5.44953	+	5.44953i	0.202951	+	0.202951i
$722$	−12.3924	+	23.9443i	−0.461197	+	0.891116i
$723$	−8.20464	−	27.0306i	−0.305134	−	1.00528i
$724$	0.831531	+	31.2891i	0.0309036	+	1.16285i
$725$	9.10012	+	45.7494i	0.337970	+	1.69909i
$726$	4.73250	−	25.5863i	0.175639	−	0.949598i
$727$	−16.6882	−	6.91247i	−0.618930	−	0.256369i	0.0511113	−	0.998693i	$-0.483724\pi$
$727$	−16.6882	−	6.91247i	−0.618930	−	0.256369i	−0.670041	+	0.742324i	$0.733724\pi$
$728$	−28.2555	+	25.1380i	−1.04722	+	0.931675i
$729$	26.4758	−	5.29441i	0.980586	−	0.196089i
$730$	−19.1516	−	34.7129i	−0.708834	−	1.28478i
$731$	18.1232	+	12.1095i	0.670311	+	0.447888i
$732$	−29.1573	+	25.2632i	−1.07769	+	0.933753i
$733$	1.85244	−	9.31286i	0.0684216	−	0.343978i	−0.931377	−	0.364057i	$-0.881391\pi$
$733$	1.85244	−	9.31286i	0.0684216	−	0.343978i	0.999798	+	0.0200781i	$0.00639148\pi$
$734$	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
$738$	−0.986928	−	8.79088i	−0.0363293	−	0.323597i
$739$	7.72417	+	1.53643i	0.284138	+	0.0565186i	0.335102	−	0.942182i	$-0.391229\pi$
$739$	7.72417	+	1.53643i	0.284138	+	0.0565186i	−0.0509636	+	0.998701i	$0.516229\pi$
$740$	3.63432	+	16.0324i	0.133600	+	0.589362i
$741$	−36.8622	−	44.9012i	−1.35417	−	1.64949i
$742$	−4.49128	−	8.14059i	−0.164880	−	0.298850i
$743$	4.16647	+	10.0588i	0.152853	+	0.369020i	0.981694	−	0.190464i	$-0.0609993\pi$
$743$	4.16647	+	10.0588i	0.152853	+	0.369020i	−0.828841	+	0.559484i	$0.810999\pi$
$744$	−7.39858	+	8.01585i	−0.271245	+	0.293875i
$745$	22.2409	−	53.6942i	0.814842	−	1.96720i
$746$	1.63992	+	14.6522i	0.0600417	+	0.536454i
$747$	−9.02858	−	3.73617i	−0.330339	−	0.136699i
$748$	3.60970	+	3.42281i	0.131984	+	0.125150i
$749$	17.4455	+	26.1091i	0.637445	+	0.954004i
$750$	−13.5177	−	13.1588i	−0.493597	−	0.480490i
$751$	−10.2840	+	10.2840i	−0.375269	+	0.375269i	−0.869392	−	0.494123i	$-0.835489\pi$
$751$	−10.2840	+	10.2840i	−0.375269	+	0.375269i	0.494123	+	0.869392i	$0.335489\pi$
$752$	−14.1636	−	29.6353i	−0.516495	−	1.08069i
$753$	−17.8957	−	33.4668i	−0.652154	−	1.21960i
$754$	15.0812	+	47.4379i	0.549223	+	1.72759i
$755$	−12.0800	−	18.0790i	−0.439636	−	0.657961i
$756$	−8.07930	−	24.2498i	−0.293841	−	0.881958i
$757$	−0.402784	−	2.02493i	−0.0146394	−	0.0735974i	0.972775	−	0.231752i	$-0.0744457\pi$
$757$	−0.402784	−	2.02493i	−0.0146394	−	0.0735974i	−0.987414	+	0.158154i	$0.949446\pi$
$758$	−3.68456	−	2.94280i	−0.133829	−	0.106887i
$759$	3.61175	−	4.40245i	0.131098	−	0.159799i
$760$	−15.3581	+	58.9966i	−0.557098	+	2.14003i
$761$	−9.61299	−	23.2078i	−0.348471	−	0.841282i	−0.996801	−	0.0799232i	$-0.974532\pi$
$761$	−9.61299	−	23.2078i	−0.348471	−	0.841282i	0.648330	−	0.761359i	$-0.275468\pi$
$762$	21.0978	+	13.6901i	0.764292	+	0.495941i
$763$	15.9556	+	10.6612i	0.577632	+	0.385962i
$764$	5.41040	+	0.927507i	0.195741	+	0.0335560i
$765$	−30.0204	−	30.0001i	−1.08539	−	1.08465i
$766$	−24.2105	−	2.06018i	−0.874761	−	0.0744374i
$767$	38.1791			1.37857
$768$	25.5147	−	10.8167i	0.920682	−	0.390313i
$769$	−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
$771$	46.9884	+	25.1056i	1.69225	+	0.904155i
$772$	−33.3404	−	5.71555i	−1.19995	−	0.205707i
$773$	−4.67105	−	3.12110i	−0.168006	−	0.112258i	0.468725	−	0.883344i	$-0.344714\pi$
$773$	−4.67105	−	3.12110i	−0.168006	−	0.112258i	−0.636731	+	0.771086i	$0.719714\pi$
$774$	−17.4536	+	14.7262i	−0.627355	+	0.529324i
$775$	−6.13904	−	14.8209i	−0.220521	−	0.532384i
$776$	3.16517	−	12.1586i	0.113623	−	0.436470i
$777$	−7.74907	−	6.35729i	−0.277996	−	0.228067i
$778$	−21.7882	−	17.4019i	−0.781145	−	0.623889i
$779$	−2.50964	−	12.6168i	−0.0899171	−	0.452044i
$780$	−51.9545	−	40.3625i	−1.86027	−	1.44521i
$781$	0.541224	+	0.809999i	0.0193665	+	0.0289841i
$782$	−9.28734	−	29.2134i	−0.332115	−	1.04467i
$783$	−33.4821	−	3.28048i	−1.19655	−	0.117235i
$784$	3.43091	−	1.63974i	0.122532	−	0.0585622i
$785$	0.964240	−	0.964240i	0.0344152	−	0.0344152i
$786$	−19.5998	+	20.1345i	−0.699103	+	0.718173i
$787$	0.452063	+	0.676560i	0.0161143	+	0.0241168i	0.839439	−	0.543453i	$-0.182884\pi$
$787$	0.452063	+	0.676560i	0.0161143	+	0.0241168i	−0.823325	+	0.567570i	$0.807884\pi$
$788$	−39.3515	−	37.3140i	−1.40184	−	1.32926i
$789$	1.89578	−	19.2817i	0.0674915	−	0.686447i
$790$	6.59554	+	58.9291i	0.234659	+	2.09660i
$791$	−11.1917	+	27.0192i	−0.397932	+	0.960693i
$792$	−4.49390	+	2.63950i	−0.159684	+	0.0937907i
$793$	−23.1696	−	55.9363i	−0.822776	−	1.98636i
$794$	−2.31384	−	4.19392i	−0.0821153	−	0.148837i
$795$	12.5007	−	10.2627i	0.443356	−	0.363979i
$796$	−5.34696	−	23.5875i	−0.189518	−	0.836035i
$797$	−9.81550	−	1.95243i	−0.347683	−	0.0691584i	0.0181598	−	0.999835i	$-0.494219\pi$
$797$	−9.81550	−	1.95243i	−0.347683	−	0.0691584i	−0.365843	+	0.930677i	$0.619219\pi$
$798$	−14.6850	−	34.1459i	−0.519842	−	1.20875i
$799$	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
$804$	6.90899	+	7.97397i	0.243661	+	0.281220i
$805$	38.2413	+	25.5521i	1.34783	+	0.900591i
$806$	−8.26977	−	14.9892i	−0.291290	−	0.527973i
$807$	4.92582	+	49.9258i	0.173397	+	1.75747i
$808$	19.5325	−	17.3774i	0.687150	−	0.611335i
$809$	27.3431	+	11.3259i	0.961331	+	0.398197i	0.807478	−	0.589897i	$-0.200832\pi$
$809$	27.3431	+	11.3259i	0.961331	+	0.398197i	0.153853	+	0.988094i	$0.450832\pi$
$810$	38.9181	−	21.5062i	1.36744	−	0.755650i
$811$	−8.65239	−	43.4985i	−0.303827	−	1.52744i	−0.767277	−	0.641316i	$-0.778389\pi$
$811$	−8.65239	−	43.4985i	−0.303827	−	1.52744i	0.463450	−	0.886123i	$-0.346611\pi$
$812$	0.846099	+	31.8373i	0.0296922	+	1.11727i
$813$	20.6908	−	6.28033i	0.725659	−	0.220261i
$814$	−0.939370	+	1.81503i	−0.0329249	+	0.0636168i
$815$	2.41084	+	2.41084i	0.0844482	+	0.0844482i
$816$	−1.25833	+	28.0276i	−0.0440505	+	0.981163i
$817$	−23.4818	+	23.4818i	−0.821523	+	0.821523i
$818$	−0.0745857	−	0.234610i	−0.00260783	−	0.00820295i
$819$	40.1133	−	0.0136219i	1.40167	−	0.000475988i
$820$	−5.93061	−	13.3064i	−0.207106	−	0.464680i
$821$	−21.3569	+	4.24815i	−0.745360	+	0.148261i	−0.553138	−	0.833090i	$-0.686570\pi$
$821$	−21.3569	+	4.24815i	−0.745360	+	0.148261i	−0.192223	+	0.981351i	$0.561570\pi$
$822$	11.0838	+	16.1144i	0.386591	+	0.562054i
$823$	−5.42686	+	13.1016i	−0.189168	+	0.456693i	−0.989800	−	0.142464i	$-0.954497\pi$
$823$	−5.42686	+	13.1016i	−0.189168	+	0.456693i	0.800632	+	0.599157i	$0.204497\pi$
$824$	8.77838	−	1.21943i	0.305810	−	0.0424807i
$825$	−0.752545	−	7.62744i	−0.0262003	−	0.265553i
$826$	23.4680	+	6.77983i	0.816556	+	0.235900i
$827$	−26.0673	+	39.0125i	−0.906448	+	1.35660i	0.0276640	+	0.999617i	$0.491193\pi$
$827$	−26.0673	+	39.0125i	−0.906448	+	1.35660i	−0.934113	+	0.356979i	$0.883807\pi$
$828$	32.1045	−	0.864110i	1.11571	−	0.0300299i
$829$	21.9399	+	4.36412i	0.762005	+	0.151572i	0.560771	−	0.827971i	$-0.310505\pi$
$829$	21.9399	+	4.36412i	0.762005	+	0.151572i	0.201234	+	0.979543i	$0.435505\pi$
$830$	−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
$834$	−19.2487	+	48.2984i	−0.666528	+	1.67244i
$835$	−2.49315	+	12.5339i	−0.0862790	+	0.433754i
$836$	−6.18753	+	4.37653i	−0.214000	+	0.151365i
$837$	11.5138	−	1.13993i	0.397975	−	0.0394018i
$838$	−15.0305	+	52.0274i	−0.519221	+	1.79726i
$839$	−40.7087	+	16.8621i	−1.40542	+	0.582145i	−0.951153	−	0.308720i	$-0.900099\pi$
$839$	−40.7087	+	16.8621i	−1.40542	+	0.582145i	−0.454268	+	0.890865i	$0.650099\pi$
$840$	−24.7679	−	34.0361i	−0.854574	−	1.17436i
$841$	11.9356	+	4.94388i	0.411572	+	0.170479i
$842$	8.24439	+	6.58467i	0.284121	+	0.226923i
$843$	4.75655	−	48.3782i	0.163824	−	1.66623i
$844$	3.43814	+	7.71409i	0.118346	+	0.265530i
$845$	48.0868	−	32.1306i	1.65424	−	1.10533i
$846$	−9.65792	+	33.4730i	−0.332046	+	1.15082i
$847$	18.4746	+	18.4746i	0.634796	+	0.634796i
$848$	−10.5823	−	1.52595i	−0.363399	−	0.0524013i
$849$	7.11987	+	13.3149i	0.244353	+	0.456966i
$850$	−36.6428	−	18.9645i	−1.25684	−	0.650476i
$851$	10.4715	−	6.99680i	0.358957	−	0.239847i
$852$	−1.45377	+	5.29849i	−0.0498054	+	0.181523i
$853$	14.4514	−	2.87455i	0.494805	−	0.0984228i	0.0586209	−	0.998280i	$-0.481330\pi$
$853$	14.4514	−	2.87455i	0.494805	−	0.0984228i	0.436184	+	0.899857i	$0.356330\pi$
$854$	−4.30876	−	38.4974i	−0.147443	−	1.31736i
$855$	53.7513	−	35.9419i	1.83826	−	1.22919i
$856$	36.0493	+	2.10480i	1.23214	+	0.0719407i
$857$	−18.5578	+	7.68691i	−0.633924	+	0.262580i	−0.676419	−	0.736517i	$-0.736469\pi$
$857$	−18.5578	+	7.68691i	−0.633924	+	0.262580i	0.0424954	+	0.999097i	$0.486469\pi$
$858$	−1.70344	−	7.99972i	−0.0581545	−	0.273106i
$859$	−6.79003	+	10.1620i	−0.231673	+	0.346723i	−0.929032	−	0.369999i	$-0.879358\pi$
$859$	−6.79003	+	10.1620i	−0.231673	+	0.346723i	0.697359	+	0.716722i	$0.254358\pi$
$860$	−20.0556	+	31.8137i	−0.683891	+	1.08484i
$861$	7.83430	+	4.18581i	0.266992	+	0.142652i
$862$	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	$-0.0934356\pi$
$864$	−27.8479	−	9.40706i	−0.947406	−	0.320035i
$865$		−	39.6493i		−	1.34812i
$866$	−34.2484	+	28.8768i	−1.16381	+	0.981273i
$867$	0.918816	+	0.490917i	0.0312046	+	0.0166724i
$868$	−2.42149	−	10.6821i	−0.0821908	−	0.362575i
$869$	−4.09555	+	6.12942i	−0.138932	+	0.207926i
$870$	−54.1891	+	11.5389i	−1.83718	+	0.391206i
$871$	−15.2975	+	6.33643i	−0.518336	+	0.214702i
$872$	20.8455	−	7.24224i	0.705918	−	0.245253i
$873$	−11.0776	+	7.40729i	−0.374921	+	0.250699i
$874$	46.4134	−	5.19474i	1.56996	−	0.175715i
$875$	18.5783	−	3.69545i	0.628060	−	0.124929i
$876$	24.1563	−	13.7545i	0.816167	−	0.464723i
$877$	24.3295	−	16.2565i	0.821550	−	0.548942i	−0.0722610	−	0.997386i	$-0.523021\pi$
$877$	24.3295	−	16.2565i	0.821550	−	0.548942i	0.893811	+	0.448444i	$0.148021\pi$
$878$	−17.7146	+	34.2277i	−0.597838	+	1.15513i
$879$	−13.9419	−	26.0729i	−0.470250	−	0.879417i
$880$	−5.73814	+	6.38285i	−0.193433	+	0.215166i
$881$	3.88189	+	3.88189i	0.130784	+	0.130784i	0.769469	−	0.638684i	$-0.220521\pi$
$881$	3.88189	+	3.88189i	0.130784	+	0.130784i	−0.638684	+	0.769469i	$0.720521\pi$
$882$	−3.87520	−	1.11811i	−0.130485	−	0.0376487i
$883$	−15.3782	+	10.2754i	−0.517518	+	0.345794i	−0.786741	−	0.617283i	$-0.788233\pi$
$883$	−15.3782	+	10.2754i	−0.517518	+	0.345794i	0.269223	+	0.963078i	$0.413233\pi$
$884$	−41.1114	−	15.7628i	−1.38273	−	0.530161i
$885$	−4.15803	+	42.2908i	−0.139770	+	1.42159i
$886$	25.3211	−	31.7035i	0.850679	−	1.06510i
$887$	13.2668	+	5.49530i	0.445456	+	0.184514i	0.594124	−	0.804373i	$-0.297499\pi$
$887$	13.2668	+	5.49530i	0.445456	+	0.184514i	−0.148668	+	0.988887i	$0.547499\pi$
$888$	−11.2059	+	2.69924i	−0.376046	+	0.0905805i
$889$	−23.3312	+	9.66409i	−0.782503	+	0.324123i
$890$	3.97883	+	1.14947i	0.133371	+	0.0385304i
$891$	5.42239	+	1.07475i	0.181657	+	0.0360056i
$892$	20.0547	+	3.43799i	0.671482	+	0.115112i
$893$	−9.88365	+	49.6884i	−0.330744	+	1.66276i
$894$	37.8544	+	15.0864i	1.26604	+	0.504564i
$895$		−	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
$900$	29.7328	−	31.3776i	0.991092	−	1.04592i
$901$	6.01356	−	8.99993i	0.200341	−	0.299831i
$902$	0.502670	−	1.73996i	0.0167371	−	0.0579345i
$903$	−2.25139	−	22.8190i	−0.0749216	−	0.759370i
$904$	17.0230	+	29.0053i	0.566178	+	0.964700i
$905$	20.9227	−	50.5118i	0.695493	−	1.67907i
$906$	12.5611	−	8.63974i	0.417314	−	0.287036i
$907$	−7.31840	+	1.45572i	−0.243004	+	0.0483364i	−0.315089	−	0.949062i	$-0.602034\pi$
$907$	−7.31840	+	1.45572i	−0.243004	+	0.0483364i	0.0720858	+	0.997398i	$0.477034\pi$
$908$	3.05099	−	7.95738i	0.101251	−	0.264075i
$909$	−27.7296	+	0.00941657i	−0.919731	+	0.000312328i
$910$	62.9557	−	20.0145i	2.08696	−	0.663473i
$911$	34.4402	−	34.4402i	1.14105	−	1.14105i	0.152795	−	0.988258i	$-0.451172\pi$
$911$	34.4402	−	34.4402i	1.14105	−	1.14105i	0.988258	−	0.152795i	$-0.0488276\pi$
$912$	−41.5070	−	10.2109i	−1.37443	−	0.338118i
$913$	−1.41456	−	1.41456i	−0.0468153	−	0.0468153i
$914$	−3.67492	−	1.90196i	−0.121556	−	0.0629112i
$915$	64.4836	−	19.5729i	2.13176	−	0.647059i
$916$	8.59935	+	8.15411i	0.284130	+	0.269419i
$917$	−5.50433	−	27.6721i	−0.181769	−	0.913814i
$918$	20.7496	−	21.3301i	0.684840	−	0.703999i
$919$	−11.7108	−	4.85077i	−0.386304	−	0.160012i	0.181075	−	0.983469i	$-0.442042\pi$
$919$	−11.7108	−	4.85077i	−0.386304	−	0.160012i	−0.567378	+	0.823457i	$0.692042\pi$
$920$	49.9611	−	17.3577i	1.64717	−	0.572267i
$921$	−2.70897	−	27.4568i	−0.0892635	−	0.904733i
$922$	27.5698	−	15.2107i	0.907963	−	0.500936i
$923$	−7.16938	−	4.79042i	−0.235983	−	0.157679i
$924$	0.373513	−	5.21977i	0.0122877	−	0.171718i
$925$	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	$-0.659802\pi$
$929$	−29.3340			−0.962417			−0.481209	+	0.876606i	$0.659802\pi$
$930$	17.5041	−	7.52792i	0.573982	−	0.246850i
$931$	−5.75249	−	1.14424i	−0.188530	−	0.0375010i
$932$	2.44313	+	1.54017i	0.0800275	+	0.0504500i
$933$	16.6134	−	13.6390i	0.543898	−	0.446520i
$934$	−12.7146	+	7.01485i	−0.416036	+	0.229533i
$935$	−3.32521	−	8.02776i	−0.108746	−	0.262536i
$936$	27.8078	−	36.8057i	0.908925	−	1.20303i
$937$	−7.65680	+	18.4851i	−0.250137	+	0.603883i	−0.998215	−	0.0597275i	$-0.980977\pi$
$937$	−7.65680	+	18.4851i	−0.250137	+	0.603883i	0.748078	+	0.663611i	$0.230977\pi$
$938$	−10.5283	+	1.17836i	−0.343761	+	0.0384749i
$939$	4.19252	−	42.6416i	0.136818	−	1.39156i
$940$	1.52421	+	57.3534i	0.0497141	+	1.87066i
$941$	23.2029	+	34.7256i	0.756394	+	1.13202i	0.987272	+	0.159040i	$0.0508400\pi$
$941$	23.2029	+	34.7256i	0.756394	+	1.13202i	−0.230879	+	0.972983i	$0.574160\pi$
$942$	0.685118	+	0.666926i	0.0223224	+	0.0217296i
$943$	−7.89174	+	7.89174i	−0.256991	+	0.256991i
$944$	22.4952	−	16.8253i	0.732157	−	0.547617i
$945$	−4.35358	+	44.4347i	−0.141622	+	1.44546i
$946$	−4.45564	+	1.41651i	−0.144865	+	0.0460546i
$947$	−31.3458	−	46.9123i	−1.01860	−	1.52444i	−0.841504	−	0.540250i	$-0.818329\pi$
$947$	−31.3458	−	46.9123i	−1.01860	−	1.52444i	−0.177097	−	0.984193i	$-0.556671\pi$
$948$	−41.2526	+	5.17999i	−1.33982	+	0.168238i
$949$	8.51075	+	42.7864i	0.276271	+	1.38891i
$950$	39.2295	−	49.1176i	1.27277	−	1.59358i
$951$	−24.7092	−	20.2713i	−0.801252	−	0.657342i
$952$	−22.4712	−	16.9896i	−0.728297	−	0.550637i
$953$	0.418349	+	1.00998i	0.0135517	+	0.0327166i	0.930511	−	0.366265i	$-0.119364\pi$
$953$	0.418349	+	1.00998i	0.0135517	+	0.0327166i	−0.916959	+	0.398982i	$0.869364\pi$
$954$	7.31300	+	8.66738i	0.236767	+	0.280617i
$955$	−7.97253	−	5.32707i	−0.257985	−	0.172380i
$956$	−13.0307	−	18.4227i	−0.421441	−	0.595833i
$957$	−6.07507	−	3.24587i	−0.196379	−	0.104924i
$958$	−0.554754	+	6.51926i	−0.0179233	+	0.210628i
$959$	−19.6385			−0.634160
$960$	−48.3992	−	0.885642i	−1.56208	−	0.0285840i
$961$	−26.0420			−0.840063
$962$	1.53374	−	18.0239i	0.0494497	−	0.581115i
$963$	−27.0922	−	27.0738i	−0.873034	−	0.872441i
$964$	26.6302	−	18.8359i	0.857700	−	0.606663i
$965$	49.1289	+	32.8269i	1.58151	+	1.05673i
$966$	−17.5536	+	27.0518i	−0.564778	+	0.870377i
$967$	1.80447	+	4.35637i	0.0580277	+	0.140091i	0.950234	−	0.311536i	$-0.100844\pi$
$967$	1.80447	+	4.35637i	0.0580277	+	0.140091i	−0.892207	+	0.451628i	$0.850844\pi$
$968$	29.7599	−	4.13402i	0.956520	−	0.132872i
$969$	27.4468	−	33.4556i	0.881718	−	1.07475i
$970$	−13.6958	+	17.1479i	−0.439744	+	0.550585i
$971$	5.69846	+	28.6481i	0.182872	+	0.919361i	0.957827	+	0.287345i	$0.0927726\pi$
$971$	5.69846	+	28.6481i	0.182872	+	0.919361i	−0.774955	+	0.632017i	$0.782227\pi$
$972$	15.4450	+	27.0823i	0.495397	+	0.868666i
$973$	−29.0042	−	43.4078i	−0.929832	−	1.39159i
$974$	42.2439	−	13.4299i	1.35358	−	0.430322i
$975$	31.9892	+	59.8232i	1.02447	+	1.91588i
$976$	−38.3024	−	22.7471i	−1.22603	−	0.728118i
$977$	8.14720	−	8.14720i	0.260652	−	0.260652i	−0.564667	−	0.825319i	$-0.690995\pi$
$977$	8.14720	−	8.14720i	0.260652	−	0.260652i	0.825319	+	0.564667i	$0.190995\pi$
$978$	−1.66748	+	1.71297i	−0.0533203	+	0.0547747i
$979$	0.286050	+	0.428104i	0.00914219	+	0.0136823i
$980$	−6.63987	+	0.176459i	−0.212103	+	0.00563678i
$981$	−21.6277	−	8.94989i	−0.690520	−	0.285748i
$982$	−54.2024	+	6.06652i	−1.72967	+	0.193590i
$983$	−1.50584	+	3.63542i	−0.0480288	+	0.115952i	−0.946073	−	0.323953i	$-0.894988\pi$
$983$	−1.50584	+	3.63542i	−0.0480288	+	0.115952i	0.898044	+	0.439905i	$0.144988\pi$
$984$	9.27310	−	4.28344i	0.295616	−	0.136551i
$985$	36.2500	+	87.5153i	1.15502	+	2.78847i
$986$	−32.4653	+	17.9116i	−1.03391	+	0.570421i
$987$	−22.1965	−	27.0372i	−0.706524	−	0.860603i
$988$	35.7735	−	56.7465i	1.13811	−	1.80535i
$989$	28.2574	+	5.62075i	0.898533	+	0.178729i
$990$	9.04676	−	1.01565i	0.287525	−	0.0322796i
$991$	−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
$996$	0.805299	−	11.2539i	0.0255169	−	0.356594i
$997$	−1.99570	−	1.33348i	−0.0632045	−	0.0422319i	0.523567	−	0.851985i	$-0.324601\pi$
$997$	−1.99570	−	1.33348i	−0.0632045	−	0.0422319i	−0.586771	+	0.809753i	$0.699601\pi$
$998$	−6.74660	+	3.72220i	−0.213560	+	0.117824i
$999$	10.7850	+	5.75762i	0.341221	+	0.182163i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.1	✓	240	64.11	odd	16	inner
192.2.s.a.11.30	yes	240	192.11	even	16	inner
192.2.s.a.35.1	yes	240	3.2	odd	2	inner
192.2.s.a.35.30	yes	240	1.1	even	1	trivial
768.2.s.a.47.11		240	4.3	odd	2
768.2.s.a.47.17		240	12.11	even	2
768.2.s.a.719.11		240	192.53	odd	16
768.2.s.a.719.17		240	64.53	even	16

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(1.40912 + 0.119909i) q^{2} +(0.816224 - 1.52767i) q^{3} +(1.97124 + 0.337931i) q^{4} +(-2.90474 - 1.94088i) q^{5} +(1.33334 - 2.05480i) q^{6} +(0.941226 + 2.27232i) q^{7} +(2.73720 + 0.712555i) q^{8} +(-1.66756 - 2.49384i) q^{9} +O(q^{10})\)	\(q+(1.40912 + 0.119909i) q^{2} +(0.816224 - 1.52767i) q^{3} +(1.97124 + 0.337931i) q^{4} +(-2.90474 - 1.94088i) q^{5} +(1.33334 - 2.05480i) q^{6} +(0.941226 + 2.27232i) q^{7} +(2.73720 + 0.712555i) q^{8} +(-1.66756 - 2.49384i) q^{9} +(-3.86040 - 3.08324i) q^{10} +(-0.119826 - 0.602407i) q^{11} +(2.12522 - 2.73558i) q^{12} +(3.02031 + 4.52021i) q^{13} +(1.05383 + 3.31484i) q^{14} +(-5.33595 + 2.85329i) q^{15} +(3.77160 + 1.33229i) q^{16} +(-2.86344 + 2.86344i) q^{17} +(-2.05076 - 3.71408i) q^{18} +(-3.42767 - 5.12986i) q^{19} +(-5.07006 - 4.80756i) q^{20} +(4.23961 + 0.416838i) q^{21} +(-0.0966159 - 0.863232i) q^{22} +(-2.04839 + 4.94524i) q^{23} +(3.32272 - 3.59994i) q^{24} +(2.75706 + 6.65612i) q^{25} +(3.71397 + 6.73169i) q^{26} +(-5.17087 + 0.511946i) q^{27} +(1.08750 + 4.79737i) q^{28} +(6.35008 + 1.26311i) q^{29} +(-7.86113 + 3.38080i) 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} +(-2.44442 - 5.47949i) q^{36} +(-1.95630 - 1.30716i) q^{37} +(-4.21488 - 7.63961i) q^{38} +(9.37065 - 0.924535i) q^{39} +(-6.56786 - 7.38237i) q^{40} +(1.92633 + 0.797913i) q^{41} +(5.92414 + 1.09574i) q^{42} +(-1.05008 - 5.27910i) q^{43} +(-0.0326345 - 1.22798i) q^{44} +(0.00355903 + 10.4805i) q^{45} +(-3.47940 + 6.72282i) q^{46} +(-5.80640 - 5.80640i) q^{47} +(5.11377 - 4.67433i) q^{48} +(0.672214 - 0.672214i) q^{49} +(3.08690 + 9.70987i) q^{50} +(2.03719 + 6.71160i) q^{51} +(4.42625 + 9.93110i) q^{52} +(-2.62158 + 0.521466i) q^{53} +(-7.34777 + 0.101362i) q^{54} +(-0.821138 + 1.98240i) q^{55} +(0.957171 + 6.89047i) q^{56} +(-10.6345 + 1.04923i) q^{57} +(8.79658 + 2.54130i) q^{58} +(3.90169 - 5.83928i) q^{59} +(-11.4827 + 3.82134i) 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} +(-1.39760 - 0.556993i) q^{66} +(-0.594194 + 2.98722i) q^{67} +(-6.61218 + 4.67689i) q^{68} +(5.88276 + 7.16568i) q^{69} +(3.37261 - 11.6741i) q^{70} +(-1.46534 + 0.606963i) q^{71} +(-2.78744 - 8.01437i) q^{72} +(7.41369 + 3.07085i) q^{73} +(-2.59992 - 2.07652i) q^{74} +(12.4187 + 1.22101i) q^{75} +(-5.02322 - 11.2705i) q^{76} +(1.25608 - 0.839284i) q^{77} +(13.3152 - 0.179161i) q^{78} +(-8.48677 - 8.48677i) q^{79} +(-8.36970 - 11.1902i) q^{80} +(-3.43850 + 8.31725i) q^{81} +(2.61876 + 1.35534i) q^{82} +(2.70812 - 1.80951i) q^{83} +(8.21644 + 2.25439i) q^{84} +(13.8751 - 2.75994i) q^{85} +(-0.846679 - 7.56481i) q^{86} +(7.11270 - 8.66986i) q^{87} +(0.101260 - 1.73429i) q^{88} +(-0.774465 + 0.320794i) q^{89} +(-1.25169 + 14.7687i) q^{90} +(-7.42858 + 11.1177i) q^{91} +(-5.70902 + 9.05606i) q^{92} +(-1.81746 + 3.40161i) q^{93} +(-7.48568 - 8.87816i) q^{94} +21.5536i q^{95} +(7.76642 - 5.97350i) q^{96} -4.44200i q^{97} +(1.02783 - 0.866626i) q^{98} +(-1.30249 + 1.30338i) 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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