LMFDB - Embedded newform 192.2.s.a.179.1

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			179.1
Character	$\chi$	$=$	192.179
Dual form			192.2.s.a.59.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40760 + 0.136599i) q^{2} +(0.460241 - 1.66978i) q^{3} +(1.96268 - 0.384555i) q^{4} +(-0.362897 - 1.82441i) q^{5} +(-0.419744 + 2.41326i) q^{6} +(1.97374 - 0.817550i) q^{7} +(-2.71014 + 0.809401i) q^{8} +(-2.57636 - 1.53701i) q^{9} +O(q^{10})$	\(q+(-1.40760 + 0.136599i) q^{2} +(0.460241 - 1.66978i) q^{3} +(1.96268 - 0.384555i) q^{4} +(-0.362897 - 1.82441i) q^{5} +(-0.419744 + 2.41326i) q^{6} +(1.97374 - 0.817550i) q^{7} +(-2.71014 + 0.809401i) q^{8} +(-2.57636 - 1.53701i) q^{9} +(0.760027 + 2.51847i) q^{10} +(-1.09638 + 1.64084i) q^{11} +(0.261183 - 3.45424i) q^{12} +(-0.507536 - 0.100955i) q^{13} +(-2.66656 + 1.42040i) q^{14} +(-3.21339 - 0.233708i) q^{15} +(3.70423 - 1.50952i) q^{16} +(3.76856 - 3.76856i) q^{17} +(3.83644 + 1.81156i) q^{18} +(-7.63588 - 1.51887i) q^{19} +(-1.41384 - 3.44118i) q^{20} +(-0.456735 - 3.67199i) q^{21} +(1.31912 - 2.45941i) q^{22} +(1.55840 + 0.645510i) q^{23} +(0.104206 + 4.89787i) q^{24} +(1.42263 - 0.589273i) q^{25} +(0.728198 + 0.0727755i) q^{26} +(-3.75221 + 3.59456i) q^{27} +(3.55943 - 2.36360i) q^{28} +(4.87885 - 3.25994i) q^{29} +(4.55509 - 0.109980i) q^{30} +3.85588 q^{31} +(-5.00789 + 2.63080i) q^{32} +(2.23525 + 2.58589i) q^{33} +(-4.78985 + 5.81941i) q^{34} +(-2.20781 - 3.30422i) q^{35} +(-5.64763 - 2.02590i) q^{36} +(0.101150 + 0.508516i) q^{37} +(10.9557 + 1.09491i) q^{38} +(-0.402162 + 0.801011i) q^{39} +(2.46018 + 4.65067i) q^{40} +(-1.45523 + 3.51323i) q^{41} +(1.14449 + 5.10631i) q^{42} +(-3.41483 + 5.11066i) q^{43} +(-1.52084 + 3.64207i) q^{44} +(-1.86917 + 5.25810i) q^{45} +(-2.28178 - 0.695744i) q^{46} +(7.48879 + 7.48879i) q^{47} +(-0.815727 - 6.88001i) q^{48} +(-1.72249 + 1.72249i) q^{49} +(-1.92200 + 1.02379i) q^{50} +(-4.55823 - 8.02713i) q^{51} +(-1.03495 - 0.00296732i) q^{52} +(7.62363 + 5.09395i) q^{53} +(4.79060 - 5.57226i) q^{54} +(3.39143 + 1.40478i) q^{55} +(-4.68739 + 3.81322i) q^{56} +(-6.05053 + 12.0512i) q^{57} +(-6.42216 + 5.25514i) q^{58} +(-3.71701 + 0.739360i) q^{59} +(-6.39673 + 0.777030i) q^{60} +(11.6071 - 7.75559i) q^{61} +(-5.42753 + 0.526710i) q^{62} +(-6.34164 - 0.927352i) q^{63} +(6.68974 - 4.38718i) q^{64} +0.962588i q^{65} +(-3.49958 - 3.33457i) q^{66} +(7.63957 + 11.4334i) q^{67} +(5.94726 - 8.84570i) q^{68} +(1.79510 - 2.30510i) q^{69} +(3.55907 + 4.34944i) q^{70} +(0.709134 + 1.71200i) q^{71} +(8.22635 + 2.08020i) q^{72} +(4.01217 - 9.68624i) q^{73} +(-0.211842 - 0.701971i) q^{74} +(-0.329205 - 2.64669i) q^{75} +(-15.5709 - 0.0446433i) q^{76} +(-0.822490 + 4.13494i) q^{77} +(0.456666 - 1.18244i) q^{78} +(-7.75429 - 7.75429i) q^{79} +(-4.09823 - 6.21023i) q^{80} +(4.27522 + 7.91975i) q^{81} +(1.56848 - 5.14402i) q^{82} +(3.08519 - 15.5103i) q^{83} +(-2.30851 - 7.03130i) q^{84} +(-8.24299 - 5.50779i) q^{85} +(4.10861 - 7.66023i) q^{86} +(-3.19795 - 9.64698i) q^{87} +(1.64323 - 5.33432i) q^{88} +(-2.28499 - 5.51645i) q^{89} +(1.91280 - 7.65663i) q^{90} +(-1.08428 + 0.215677i) q^{91} +(3.30688 + 0.667640i) q^{92} +(1.77463 - 6.43848i) q^{93} +(-11.5642 - 9.51827i) q^{94} +14.4821i q^{95} +(2.08802 + 9.57289i) q^{96} +12.5201i q^{97} +(2.18928 - 2.65986i) q^{98} +(5.34664 - 2.54226i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{15}{16}\right)$

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 $

$2$	−1.40760	+	0.136599i	−0.995324	+	0.0965904i
$2$	−1.40760	+	0.136599i	−0.995324	+	0.0965904i
$3$	0.460241	−	1.66978i	0.265720	−	0.964050i
$3$	0.460241	−	1.66978i	0.265720	−	0.964050i
$4$	1.96268	−	0.384555i	0.981341	−	0.192278i
$5$	−0.362897	−	1.82441i	−0.162293	−	0.815900i	−0.973064	−	0.230536i	$-0.925952\pi$
$5$	−0.362897	−	1.82441i	−0.162293	−	0.815900i	0.810771	−	0.585363i	$-0.199048\pi$
$6$	−0.419744	+	2.41326i	−0.171360	+	0.985208i
$7$	1.97374	−	0.817550i	0.746004	−	0.309005i	0.0228938	−	0.999738i	$-0.492712\pi$
$7$	1.97374	−	0.817550i	0.746004	−	0.309005i	0.723110	+	0.690733i	$0.242712\pi$
$8$	−2.71014	+	0.809401i	−0.958180	+	0.286167i
$9$	−2.57636	−	1.53701i	−0.858785	−	0.512336i
$10$	0.760027	+	2.51847i	0.240342	+	0.796409i
$11$	−1.09638	+	1.64084i	−0.330570	+	0.494732i	−0.959106	−	0.283048i	$-0.908654\pi$
$11$	−1.09638	+	1.64084i	−0.330570	+	0.494732i	0.628536	+	0.777780i	$0.283654\pi$
$12$	0.261183	−	3.45424i	0.0753970	−	0.997154i
$13$	−0.507536	−	0.100955i	−0.140765	−	0.0279999i	0.124205	−	0.992257i	$-0.460362\pi$
$13$	−0.507536	−	0.100955i	−0.140765	−	0.0279999i	−0.264970	+	0.964257i	$0.585362\pi$
$14$	−2.66656	+	1.42040i	−0.712669	+	0.379617i
$15$	−3.21339	−	0.233708i	−0.829693	−	0.0603430i
$16$	3.70423	−	1.50952i	0.926059	−	0.377379i
$17$	3.76856	−	3.76856i	0.914010	−	0.914010i	−0.0825747	−	0.996585i	$-0.526314\pi$
$17$	3.76856	−	3.76856i	0.914010	−	0.914010i	0.996585	+	0.0825747i	$0.0263143\pi$
$18$	3.83644	+	1.81156i	0.904257	+	0.426990i
$19$	−7.63588	−	1.51887i	−1.75179	−	0.348453i	−0.788115	−	0.615528i	$-0.788943\pi$
$19$	−7.63588	−	1.51887i	−1.75179	−	0.348453i	−0.963676	+	0.267076i	$0.913943\pi$
$20$	−1.41384	−	3.44118i	−0.316143	−	0.769470i
$21$	−0.456735	−	3.67199i	−0.0996678	−	0.801294i
$22$	1.31912	−	2.45941i	0.281238	−	0.524349i
$23$	1.55840	+	0.645510i	0.324949	+	0.134598i	0.539194	−	0.842182i	$-0.318729\pi$
$23$	1.55840	+	0.645510i	0.324949	+	0.134598i	−0.214245	+	0.976780i	$0.568729\pi$
$24$	0.104206	+	4.89787i	0.0212710	+	0.999774i
$25$	1.42263	−	0.589273i	0.284526	−	0.117855i
$26$	0.728198	+	0.0727755i	0.142811	+	0.0142724i
$27$	−3.75221	+	3.59456i	−0.722114	+	0.691774i
$28$	3.55943	−	2.36360i	0.672669	−	0.446679i
$29$	4.87885	−	3.25994i	0.905979	−	0.605356i	−0.0128908	−	0.999917i	$-0.504103\pi$
$29$	4.87885	−	3.25994i	0.905979	−	0.605356i	0.918870	+	0.394561i	$0.129103\pi$
$30$	4.55509	−	0.109980i	0.831642	−	0.0200795i
$31$	3.85588			0.692536			0.346268	−	0.938136i	$-0.387449\pi$
$31$	3.85588			0.692536			0.346268	+	0.938136i	$0.387449\pi$
$32$	−5.00789	+	2.63080i	−0.885277	+	0.465063i
$33$	2.23525	+	2.58589i	0.389108	+	0.450146i
$34$	−4.78985	+	5.81941i	−0.821452	+	0.998021i
$35$	−2.20781	−	3.30422i	−0.373188	−	0.558515i
$36$	−5.64763	−	2.02590i	−0.941272	−	0.337651i
$37$	0.101150	+	0.508516i	0.0166290	+	0.0835995i	0.988209	−	0.153113i	$-0.0489299\pi$
$37$	0.101150	+	0.508516i	0.0166290	+	0.0835995i	−0.971580	+	0.236713i	$0.923930\pi$
$38$	10.9557	+	1.09491i	1.77726	+	0.177617i
$39$	−0.402162	+	0.801011i	−0.0643975	+	0.128264i
$40$	2.46018	+	4.65067i	0.388989	+	0.735336i
$41$	−1.45523	+	3.51323i	−0.227269	+	0.548675i	−0.995843	−	0.0910853i	$-0.970966\pi$
$41$	−1.45523	+	3.51323i	−0.227269	+	0.548675i	0.768574	+	0.639760i	$0.220966\pi$
$42$	1.14449	+	5.10631i	0.176599	+	0.787920i
$43$	−3.41483	+	5.11066i	−0.520757	+	0.779368i	−0.994877	−	0.101092i	$-0.967766\pi$
$43$	−3.41483	+	5.11066i	−0.520757	+	0.779368i	0.474120	+	0.880460i	$0.342766\pi$
$44$	−1.52084	+	3.64207i	−0.229275	+	0.549062i
$45$	−1.86917	+	5.25810i	−0.278640	+	0.783831i
$46$	−2.28178	−	0.695744i	−0.336430	−	0.102582i
$47$	7.48879	+	7.48879i	1.09235	+	1.09235i	0.995277	+	0.0970756i	$0.0309489\pi$
$47$	7.48879	+	7.48879i	1.09235	+	1.09235i	0.0970756	+	0.995277i	$0.469051\pi$
$48$	−0.815727	−	6.88001i	−0.117740	−	0.993044i
$49$	−1.72249	+	1.72249i	−0.246069	+	0.246069i
$50$	−1.92200	+	1.02379i	−0.271812	+	0.144786i
$51$	−4.55823	−	8.02713i	−0.638281	−	1.12402i
$52$	−1.03495	−	0.00296732i	−0.143522	−	0.000411493i
$53$	7.62363	+	5.09395i	1.04719	+	0.699708i	0.955172	−	0.296050i	$-0.0956695\pi$
$53$	7.62363	+	5.09395i	1.04719	+	0.699708i	0.0920141	+	0.995758i	$0.470670\pi$
$54$	4.79060	−	5.57226i	0.651919	−	0.758289i
$55$	3.39143	+	1.40478i	0.457301	+	0.189420i
$56$	−4.68739	+	3.81322i	−0.626379	+	0.509563i
$57$	−6.05053	+	12.0512i	−0.801412	+	1.59622i
$58$	−6.42216	+	5.25514i	−0.843271	+	0.690034i
$59$	−3.71701	+	0.739360i	−0.483914	+	0.0962564i	−0.431017	−	0.902344i	$-0.641845\pi$
$59$	−3.71701	+	0.739360i	−0.483914	+	0.0962564i	−0.0528963	+	0.998600i	$0.516845\pi$
$60$	−6.39673	+	0.777030i	−0.825814	+	0.100314i
$61$	11.6071	−	7.75559i	1.48613	−	0.993001i	0.493776	−	0.869589i	$-0.335616\pi$
$61$	11.6071	−	7.75559i	1.48613	−	0.993001i	0.992356	−	0.123412i	$-0.0393837\pi$
$62$	−5.42753	+	0.526710i	−0.689297	+	0.0668923i
$63$	−6.34164	−	0.927352i	−0.798971	−	0.116835i
$64$	6.68974	−	4.38718i	0.836217	−	0.548398i
$65$			0.962588i			0.119394i
$66$	−3.49958	−	3.33457i	−0.430768	−	0.410457i
$67$	7.63957	+	11.4334i	0.933322	+	1.39682i	0.917847	+	0.396935i	$0.129926\pi$
$67$	7.63957	+	11.4334i	0.933322	+	1.39682i	0.0154756	+	0.999880i	$0.495074\pi$
$68$	5.94726	−	8.84570i	0.721212	−	1.07270i
$69$	1.79510	−	2.30510i	0.216105	−	0.277501i
$70$	3.55907	+	4.34944i	0.425390	+	0.519857i
$71$	0.709134	+	1.71200i	0.0841587	+	0.203177i	0.960357	−	0.278774i	$-0.0899282\pi$
$71$	0.709134	+	1.71200i	0.0841587	+	0.203177i	−0.876198	+	0.481951i	$0.839928\pi$
$72$	8.22635	+	2.08020i	0.969484	+	0.245154i
$73$	4.01217	−	9.68624i	0.469589	−	1.13369i	−0.494754	−	0.869033i	$-0.664742\pi$
$73$	4.01217	−	9.68624i	0.469589	−	1.13369i	0.964343	−	0.264656i	$-0.0852583\pi$
$74$	−0.211842	−	0.701971i	−0.0246261	−	0.0816024i
$75$	−0.329205	−	2.64669i	−0.0380133	−	0.305614i
$76$	−15.5709	−	0.0446433i	−1.78610	−	0.00512094i
$77$	−0.822490	+	4.13494i	−0.0937314	+	0.471220i
$78$	0.456666	−	1.18244i	0.0517073	−	0.133885i
$79$	−7.75429	−	7.75429i	−0.872426	−	0.872426i	0.120310	−	0.992736i	$-0.461611\pi$
$79$	−7.75429	−	7.75429i	−0.872426	−	0.872426i	−0.992736	+	0.120310i	$0.961611\pi$
$80$	−4.09823	−	6.21023i	−0.458196	−	0.694325i
$81$	4.27522	+	7.91975i	0.475025	+	0.879972i
$82$	1.56848	−	5.14402i	0.173209	−	0.568062i
$83$	3.08519	−	15.5103i	0.338644	−	1.70248i	−0.317847	−	0.948142i	$-0.602960\pi$
$83$	3.08519	−	15.5103i	0.338644	−	1.70248i	0.656491	−	0.754334i	$-0.272040\pi$
$84$	−2.30851	−	7.03130i	−0.251879	−	0.767178i
$85$	−8.24299	−	5.50779i	−0.894078	−	0.597404i
$86$	4.10861	−	7.66023i	0.443043	−	0.826024i
$87$	−3.19795	−	9.64698i	−0.342856	−	1.03426i
$88$	1.64323	−	5.33432i	0.175169	−	0.568641i
$89$	−2.28499	−	5.51645i	−0.242208	−	0.584742i	0.755293	−	0.655387i	$-0.227494\pi$
$89$	−2.28499	−	5.51645i	−0.242208	−	0.584742i	−0.997502	+	0.0706445i	$0.977494\pi$
$90$	1.91280	−	7.65663i	0.201627	−	0.807080i
$91$	−1.08428	+	0.215677i	−0.113663	+	0.0226091i
$92$	3.30688	+	0.667640i	0.344766	+	0.0696063i
$93$	1.77463	−	6.43848i	0.184021	−	0.667639i
$94$	−11.5642	−	9.51827i	−1.19276	−	0.981734i
$95$			14.4821i			1.48584i
$96$	2.08802	+	9.57289i	0.213108	+	0.977029i
$97$			12.5201i			1.27122i	0.772009	+	0.635611i	$0.219252\pi$
$97$			12.5201i			1.27122i	−0.772009	+	0.635611i	$0.780748\pi$
$98$	2.18928	−	2.65986i	0.221151	−	0.268687i
$99$	5.34664	−	2.54226i	0.537357	−	0.255506i
$100$	2.56556	−	1.70363i	0.256556	−	0.170363i
$101$	−3.99999	+	0.795648i	−0.398014	+	0.0791699i	−0.390039	−	0.920798i	$-0.627539\pi$
$101$	−3.99999	+	0.795648i	−0.398014	+	0.0791699i	−0.00797492	+	0.999968i	$0.502539\pi$
$102$	7.51268	+	10.6763i	0.743866	+	1.05712i
$103$	4.99967	+	12.0703i	0.492633	+	1.18932i	0.953376	+	0.301787i	$0.0975830\pi$
$103$	4.99967	+	12.0703i	0.492633	+	1.18932i	−0.460743	+	0.887534i	$0.652417\pi$
$104$	1.45721	−	0.137197i	0.142891	−	0.0134533i
$105$	−6.53346	+	2.16583i	−0.637600	+	0.211363i
$106$	−11.4269	−	6.12886i	−1.10988	−	0.595288i
$107$	4.87267	+	3.25581i	0.471059	+	0.314751i	0.768344	−	0.640037i	$-0.221081\pi$
$107$	4.87267	+	3.25581i	0.471059	+	0.314751i	−0.297285	+	0.954789i	$0.596081\pi$
$108$	−5.98209	+	8.49792i	−0.575627	+	0.817712i
$109$	0.592278	−	2.97758i	0.0567300	−	0.285201i	−0.941998	−	0.335618i	$-0.891055\pi$
$109$	0.592278	−	2.97758i	0.0567300	−	0.285201i	0.998728	+	0.0504168i	$0.0160550\pi$
$110$	−4.96568	−	1.51410i	−0.473459	−	0.144364i
$111$	0.895665	+	0.0651412i	0.0850128	+	0.00618293i
$112$	6.07709	−	6.00779i	0.574231	−	0.567683i
$113$	0.362204	+	0.362204i	0.0340733	+	0.0340733i	0.723938	−	0.689865i	$-0.242330\pi$
$113$	0.362204	+	0.362204i	0.0340733	+	0.0340733i	−0.689865	+	0.723938i	$0.742330\pi$
$114$	6.87054	−	17.7898i	0.643485	−	1.66617i
$115$	0.612135	−	3.07741i	0.0570819	−	0.286970i
$116$	8.32199	−	8.27441i	0.772678	−	0.768259i
$117$	1.15242	+	1.04018i	0.106542	+	0.0961649i
$118$	5.13107	−	1.54847i	0.472354	−	0.142548i
$119$	4.35717	−	10.5191i	0.399421	−	0.964288i
$120$	8.89790	−	1.96754i	0.812263	−	0.179611i
$121$	2.71920	+	6.56472i	0.247200	+	0.596793i
$122$	−15.2787	+	12.5023i	−1.38327	+	1.13190i
$123$	5.19659	+	4.04685i	0.468560	+	0.364892i
$124$	7.56785	−	1.48280i	0.679613	−	0.133159i
$125$	−6.75856	−	10.1149i	−0.604504	−	0.904704i
$126$	9.05317	+	0.439077i	0.806520	+	0.0391161i
$127$			2.57191i			0.228220i	0.993468	+	0.114110i	$0.0364017\pi$
$127$			2.57191i			0.228220i	−0.993468	+	0.114110i	$0.963598\pi$
$128$	−8.81720	+	7.08922i	−0.779337	+	0.626604i
$129$	6.96205	+	8.05417i	0.612974	+	0.709130i
$130$	−0.131489	−	1.35494i	−0.0115324	−	0.118836i
$131$	−10.2282	+	6.83426i	−0.893642	+	0.597112i	−0.915353	−	0.402652i	$-0.868088\pi$
$131$	−10.2282	+	6.83426i	−0.893642	+	0.597112i	0.0217115	+	0.999764i	$0.493088\pi$
$132$	5.38151	+	4.21570i	0.468400	+	0.366930i
$133$	−16.3130	+	3.24485i	−1.41452	+	0.281365i
$134$	−12.3153	−	15.0501i	−1.06388	−	1.30013i
$135$	7.91962	+	5.54111i	0.681612	+	0.476903i
$136$	−7.16306	+	13.2636i	−0.614227	+	1.13735i
$137$	−6.81207	−	2.82165i	−0.581994	−	0.241070i	0.0722080	−	0.997390i	$-0.476995\pi$
$137$	−6.81207	−	2.82165i	−0.581994	−	0.241070i	−0.654202	+	0.756320i	$0.726995\pi$
$138$	−2.21191	+	3.48987i	−0.188291	+	0.297078i
$139$	−0.0836883	−	0.0559187i	−0.00709835	−	0.00474296i	0.552016	−	0.833834i	$-0.313859\pi$
$139$	−0.0836883	−	0.0559187i	−0.00709835	−	0.00474296i	−0.559114	+	0.829091i	$0.688859\pi$
$140$	−5.60388	−	5.63610i	−0.473614	−	0.476338i
$141$	15.9513	−	9.05801i	1.34334	−	0.762822i
$142$	−1.23204	−	2.31295i	−0.103390	−	0.194098i
$143$	0.722101	−	0.722101i	0.0603851	−	0.0603851i
$144$	−11.8636	−	1.80438i	−0.988631	−	0.150365i
$145$	−7.71798	−	7.71798i	−0.640943	−	0.640943i
$146$	−4.32440	+	14.1824i	−0.357890	+	1.17375i
$147$	2.08342	+	3.66894i	0.171838	+	0.302609i
$148$	0.394078	+	0.959157i	0.0323930	+	0.0788422i
$149$	−13.1608	+	19.6966i	−1.07818	+	1.61360i	−0.338061	+	0.941124i	$0.609771\pi$
$149$	−13.1608	+	19.6966i	−1.07818	+	1.61360i	−0.740115	+	0.672480i	$0.765229\pi$
$150$	0.824926	+	3.68052i	0.0673549	+	0.300513i
$151$	−4.58571	+	11.0709i	−0.373180	+	0.900937i	0.620027	+	0.784580i	$0.287121\pi$
$151$	−4.58571	+	11.0709i	−0.373180	+	0.900937i	−0.993208	+	0.116356i	$0.962879\pi$
$152$	21.9237	−	2.06413i	1.77825	−	0.167423i
$153$	−15.5015	+	3.91685i	−1.25322	+	0.316659i
$154$	0.592908	−	5.93269i	0.0477779	−	0.478070i
$155$	−1.39929	−	7.03469i	−0.112393	−	0.565040i
$156$	−0.481283	+	1.72678i	−0.0385335	+	0.138253i
$157$	−12.9843	−	19.4324i	−1.03626	−	1.55087i	−0.818196	−	0.574940i	$-0.805026\pi$
$157$	−12.9843	−	19.4324i	−1.03626	−	1.55087i	−0.218065	−	0.975934i	$-0.569974\pi$
$158$	11.9742	+	9.85572i	0.952615	+	0.784079i
$159$	12.0145	−	10.3854i	0.952812	−	0.823614i
$160$	6.61699	+	8.18171i	0.523119	+	0.646821i
$161$	3.60361			0.284004
$162$	−7.09964	−	10.5639i	−0.557800	−	0.829975i
$163$	2.74851	−	1.83650i	0.215280	−	0.143846i	−0.443255	−	0.896396i	$-0.646176\pi$
$163$	2.74851	−	1.83650i	0.215280	−	0.143846i	0.658535	+	0.752550i	$0.271176\pi$
$164$	−1.50512	+	7.45497i	−0.117530	+	0.582136i
$165$	3.90655	−	5.01643i	0.304125	−	0.390528i
$166$	−2.22402	+	22.2537i	−0.172617	+	1.72723i
$167$	10.5897	−	4.38640i	0.819456	−	0.339430i	0.0667358	−	0.997771i	$-0.478742\pi$
$167$	10.5897	−	4.38640i	0.819456	−	0.339430i	0.752720	+	0.658341i	$0.228742\pi$
$168$	4.20993	+	9.58193i	0.324803	+	0.739262i
$169$	−11.7630	−	4.87241i	−0.904849	−	0.374801i
$170$	12.3552	+	6.62678i	0.947601	+	0.508251i
$171$	17.3382	+	15.6495i	1.32589	+	1.19675i
$172$	−4.73690	+	11.3438i	−0.361185	+	0.864956i
$173$	−0.832469	−	0.165588i	−0.0632914	−	0.0125894i	0.163343	−	0.986569i	$-0.447772\pi$
$173$	−0.832469	−	0.165588i	−0.0632914	−	0.0125894i	−0.226634	+	0.973980i	$0.572772\pi$
$174$	5.81921	+	13.1423i	0.441153	+	0.996312i
$175$	2.32614	−	2.32614i	0.175840	−	0.175840i
$176$	−1.58435	+	7.73306i	−0.119425	+	0.582901i
$177$	−0.476151	+	6.54689i	−0.0357897	+	0.492094i
$178$	3.96989	+	7.45283i	0.297556	+	0.558613i
$179$	−4.97685	−	0.989957i	−0.371987	−	0.0739929i	0.00555666	−	0.999985i	$-0.498231\pi$
$179$	−4.97685	−	0.989957i	−0.371987	−	0.0739929i	−0.377544	+	0.925992i	$0.623231\pi$
$180$	−1.64656	+	11.0388i	−0.122728	+	0.822781i
$181$	4.65367	−	6.96471i	0.345905	−	0.517683i	−0.617201	−	0.786805i	$-0.711734\pi$
$181$	4.65367	−	6.96471i	0.345905	−	0.517683i	0.963106	+	0.269122i	$0.0867336\pi$
$182$	1.49677	−	0.451699i	0.110948	−	0.0334821i
$183$	−7.60811	−	22.9507i	−0.562408	−	1.69657i
$184$	−4.74596	−	0.488054i	−0.349877	−	0.0359798i
$185$	0.891033	−	0.369078i	0.0655101	−	0.0271352i
$186$	−1.61848	+	9.30522i	−0.118673	+	0.682292i
$187$	2.05185	+	10.3154i	0.150046	+	0.754334i
$188$	17.5780	+	11.8183i	1.28200	+	0.861935i
$189$	−4.46716	+	10.1624i	−0.324938	+	0.739203i
$190$	−1.97825	−	20.3851i	−0.143518	−	1.47889i
$191$	−8.09446			−0.585694			−0.292847	−	0.956159i	$-0.594603\pi$
$191$	−8.09446			−0.585694			−0.292847	+	0.956159i	$0.594603\pi$
$192$	−4.24676	−	13.1896i	−0.306483	−	0.951876i
$193$	−1.89782			−0.136608			−0.0683039	−	0.997665i	$-0.521759\pi$
$193$	−1.89782			−0.136608			−0.0683039	+	0.997665i	$0.521759\pi$
$194$	−1.71024	−	17.6233i	−0.122788	−	1.26528i
$195$	1.60731	+	0.443023i	0.115102	+	0.0317255i
$196$	−2.71830	+	4.04308i	−0.194164	+	0.288792i
$197$	2.44370	+	12.2853i	0.174107	+	0.875293i	0.964781	+	0.263056i	$0.0847302\pi$
$197$	2.44370	+	12.2853i	0.174107	+	0.875293i	−0.790674	+	0.612237i	$0.790270\pi$
$198$	−7.17866	+	4.30883i	−0.510165	+	0.306215i
$199$	15.9361	−	6.60095i	1.12968	−	0.467929i	0.262008	−	0.965066i	$-0.415615\pi$
$199$	15.9361	−	6.60095i	1.12968	−	0.467929i	0.867672	+	0.497137i	$0.165615\pi$
$200$	−3.37857	+	2.74849i	−0.238901	+	0.194348i
$201$	22.6074	−	7.49430i	1.59460	−	0.528607i
$202$	5.52171	−	1.66635i	0.388506	−	0.117244i
$203$	6.96441	−	10.4230i	0.488806	−	0.731549i
$204$	−12.0332	−	14.0018i	−0.842495	−	0.980322i
$205$	6.93767	+	1.37999i	0.484548	+	0.0963826i
$206$	−8.68634	−	16.3072i	−0.605206	−	1.13618i
$207$	−3.02284	−	4.05834i	−0.210102	−	0.282074i
$208$	−2.03243	+	0.392173i	−0.140923	+	0.0271923i
$209$	10.8640	−	10.8640i	0.751479	−	0.751479i
$210$	8.90065	−	3.94108i	0.614203	−	0.271961i
$211$	−8.62576	−	1.71577i	−0.593822	−	0.118118i	−0.110975	−	0.993823i	$-0.535397\pi$
$211$	−8.62576	−	1.71577i	−0.593822	−	0.118118i	−0.482847	+	0.875705i	$0.660397\pi$
$212$	16.9217	+	7.06609i	1.16218	+	0.485301i
$213$	3.18504	−	0.396167i	0.218236	−	0.0271449i
$214$	−7.30352	−	3.91728i	−0.499258	−	0.267780i
$215$	10.5632	+	4.37540i	0.720401	+	0.298400i
$216$	7.25959	−	12.7788i	0.493952	−	0.869489i
$217$	7.61049	−	3.15237i	0.516634	−	0.213997i
$218$	−0.426955	+	4.27216i	−0.0289171	+	0.289347i
$219$	−14.3274	−	11.1575i	−0.968154	−	0.753952i
$220$	7.19652	+	1.45294i	0.485189	+	0.0979571i
$221$	−2.29314	+	1.53222i	−0.154253	+	0.103069i
$222$	−1.26964	+	0.0306546i	−0.0852125	+	0.00205740i
$223$	−18.9668			−1.27011			−0.635055	−	0.772467i	$-0.719023\pi$
$223$	−18.9668			−1.27011			−0.635055	+	0.772467i	$0.719023\pi$
$224$	−7.73346	+	9.28670i	−0.516713	+	0.620494i
$225$	−4.57092	−	0.668416i	−0.304728	−	0.0445610i
$226$	−0.559316	−	0.460362i	−0.0372052	−	0.0306229i
$227$	−7.88840	−	11.8058i	−0.523572	−	0.783580i	0.471591	−	0.881817i	$-0.343680\pi$
$227$	−7.88840	−	11.8058i	−0.523572	−	0.783580i	−0.995163	+	0.0982368i	$0.968680\pi$
$228$	−7.24091	+	25.9795i	−0.479541	+	1.72053i
$229$	4.12468	+	20.7362i	0.272566	+	1.37028i	0.838081	+	0.545546i	$0.183678\pi$
$229$	4.12468	+	20.7362i	0.272566	+	1.37028i	−0.565515	+	0.824738i	$0.691322\pi$
$230$	−0.441269	+	4.41538i	−0.0290964	+	0.291142i
$231$	6.52591	+	3.27645i	0.429373	+	0.215574i
$232$	−10.5838	+	12.7838i	−0.694858	+	0.839301i
$233$	3.75619	−	9.06826i	0.246076	−	0.594081i	−0.751788	−	0.659405i	$-0.770808\pi$
$233$	3.75619	−	9.06826i	0.246076	−	0.594081i	0.997864	+	0.0653241i	$0.0208081\pi$
$234$	−1.76424	−	1.30674i	−0.115332	−	0.0854243i
$235$	10.9449	−	16.3803i	0.713970	−	1.06853i
$236$	−7.01099	+	2.88052i	−0.456376	+	0.187506i
$237$	−16.5168	+	9.37915i	−1.07288	+	0.609241i
$238$	−4.69625	+	15.4019i	−0.304413	+	0.998360i
$239$	−17.5344	−	17.5344i	−1.13421	−	1.13421i	−0.989470	−	0.144736i	$-0.953767\pi$
$239$	−17.5344	−	17.5344i	−1.13421	−	1.13421i	−0.144736	−	0.989470i	$-0.546233\pi$
$240$	−12.2559	+	3.98496i	−0.791116	+	0.257228i
$241$	−2.19299	+	2.19299i	−0.141263	+	0.141263i	−0.774202	−	0.632939i	$-0.781848\pi$
$241$	−2.19299	+	2.19299i	−0.141263	+	0.141263i	0.632939	+	0.774202i	$0.281848\pi$
$242$	−4.72428	−	8.86906i	−0.303688	−	0.570125i
$243$	15.1919	−	3.49370i	0.974561	−	0.224121i
$244$	19.7985	−	19.6853i	1.26747	−	1.26022i
$245$	3.76760	+	2.51743i	0.240703	+	0.160833i
$246$	−7.86752	−	4.98650i	−0.501615	−	0.317928i
$247$	3.72214	+	1.54176i	0.236834	+	0.0981000i
$248$	−10.4500	+	3.12095i	−0.663574	+	0.198181i
$249$	−24.4789	−	12.2901i	−1.55129	−	0.778852i
$250$	10.8950	+	13.3145i	0.689063	+	0.842085i
$251$	−5.08945	+	1.01235i	−0.321243	+	0.0638993i	−0.353078	−	0.935594i	$-0.614865\pi$
$251$	−5.08945	+	1.01235i	−0.321243	+	0.0638993i	0.0318347	+	0.999493i	$0.489865\pi$
$252$	−12.8032	+	0.618613i	−0.806528	+	0.0389689i
$253$	−2.76777	+	1.84937i	−0.174008	+	0.116269i
$254$	−0.351322	−	3.62023i	−0.0220439	−	0.227153i
$255$	−12.9906	+	11.2291i	−0.813502	+	0.703193i
$256$	11.4427	−	11.1832i	0.715169	−	0.698951i
$257$			13.9371i			0.869372i	0.900582	+	0.434686i	$0.143141\pi$
$257$			13.9371i			0.869372i	−0.900582	+	0.434686i	$0.856859\pi$
$258$	−10.9000	−	10.3860i	−0.678603	−	0.646607i
$259$	0.615381	+	0.920983i	0.0382379	+	0.0572271i
$260$	0.370168	+	1.88925i	0.0229569	+	0.117167i
$261$	−17.5802	+	0.899950i	−1.08819	+	0.0557055i
$262$	13.4637	−	11.0171i	0.831788	−	0.680637i
$263$	1.79117	+	4.32427i	0.110448	+	0.266646i	0.969433	−	0.245355i	$-0.0789044\pi$
$263$	1.79117	+	4.32427i	0.110448	+	0.266646i	−0.858985	+	0.512001i	$0.828904\pi$
$264$	−8.15088	−	5.19892i	−0.501652	−	0.319971i
$265$	6.52684	−	15.7572i	0.400941	−	0.967957i
$266$	22.5189	−	6.79581i	1.38072	−	0.416678i
$267$	−10.2629	+	1.27654i	−0.628081	+	0.0781229i
$268$	19.3908	+	19.5023i	1.18448	+	1.19129i
$269$	−2.03650	+	10.2382i	−0.124168	+	0.624233i	0.867713	+	0.497065i	$0.165589\pi$
$269$	−2.03650	+	10.2382i	−0.124168	+	0.624233i	−0.991881	+	0.127168i	$0.959411\pi$
$270$	−11.9046	−	6.71786i	−0.724489	−	0.408836i
$271$	−9.97607	−	9.97607i	−0.606003	−	0.606003i	0.335896	−	0.941899i	$-0.390961\pi$
$271$	−9.97607	−	9.97607i	−0.606003	−	0.606003i	−0.941899	+	0.335896i	$0.890961\pi$
$272$	8.27092	−	19.6483i	0.501498	−	1.19136i
$273$	−0.138897	+	1.90978i	−0.00840642	+	0.115585i
$274$	9.97411	+	3.04123i	0.602558	+	0.183728i
$275$	−0.592833	+	2.98037i	−0.0357492	+	0.179723i
$276$	2.63678	−	5.21449i	0.158715	−	0.313876i
$277$	15.8016	+	10.5583i	0.949427	+	0.634387i	0.930835	−	0.365441i	$-0.119082\pi$
$277$	15.8016	+	10.5583i	0.949427	+	0.634387i	0.0185919	+	0.999827i	$0.494082\pi$
$278$	0.125438	+	0.0672795i	0.00752328	+	0.00403515i
$279$	−9.93411	−	5.92651i	−0.594739	−	0.354811i
$280$	8.65791	+	7.16790i	0.517409	+	0.428364i
$281$	−0.105849	−	0.255543i	−0.00631444	−	0.0152444i	0.920691	−	0.390293i	$-0.127626\pi$
$281$	−0.105849	−	0.255543i	−0.00631444	−	0.0152444i	−0.927005	+	0.375048i	$0.877626\pi$
$282$	−21.2158	+	14.9290i	−1.26338	+	0.889010i
$283$	6.47086	−	1.28713i	0.384653	−	0.0765121i	0.00102359	−	0.999999i	$-0.499674\pi$
$283$	6.47086	−	1.28713i	0.384653	−	0.0765121i	0.383629	+	0.923487i	$0.374674\pi$
$284$	2.05016	+	3.08741i	0.121655	+	0.183204i
$285$	24.1820	+	6.66528i	1.43242	+	0.394817i
$286$	−0.917792	+	1.11507i	−0.0542702	+	0.0659354i
$287$			8.12393i			0.479541i
$288$	16.9456	+	0.919287i	0.998532	+	0.0541695i
$289$		−	11.4041i		−	0.670829i
$290$	11.9181	+	9.80956i	0.699855	+	0.576037i
$291$	20.9058	+	5.76226i	1.22552	+	0.337790i
$292$	4.14972	−	20.5539i	0.242844	−	1.20283i
$293$	−5.24629	+	1.04355i	−0.306492	+	0.0609650i	−0.345940	−	0.938257i	$-0.612440\pi$
$293$	−5.24629	+	1.04355i	−0.306492	+	0.0609650i	0.0394483	+	0.999222i	$0.487440\pi$
$294$	−3.43380	−	4.87981i	−0.200263	−	0.284596i
$295$	2.69779	+	6.51303i	0.157071	+	0.379203i
$296$	−0.685725	−	1.29628i	−0.0398569	−	0.0753447i
$297$	−1.78428	−	10.0978i	−0.103534	−	0.585933i
$298$	15.8346	−	29.5226i	0.917276	−	1.71020i
$299$	−0.725776	−	0.484948i	−0.0419727	−	0.0280453i
$300$	−1.66392	−	5.06802i	−0.0960667	−	0.292602i
$301$	−2.56177	+	12.8789i	−0.147658	+	0.742328i
$302$	4.94258	−	16.2098i	0.284413	−	0.932770i
$303$	−0.512401	+	7.04531i	−0.0294367	+	0.404743i
$304$	−30.5778	+	5.90024i	−1.75376	+	0.338402i
$305$	−18.3615	−	18.3615i	−1.05138	−	1.05138i
$306$	21.2848	−	7.63085i	1.21677	−	0.436227i
$307$	0.709917	−	3.56899i	0.0405171	−	0.203693i	−0.955224	−	0.295882i	$-0.904386\pi$
$307$	0.709917	−	3.56899i	0.0405171	−	0.203693i	0.995742	+	0.0921890i	$0.0293864\pi$
$308$	−0.0241750	+	8.43185i	−0.00137750	+	0.480449i
$309$	22.4558	−	2.79313i	1.27747	−	0.158896i
$310$	2.93057	+	9.71089i	0.166445	+	0.551541i
$311$	−3.57566	+	8.63240i	−0.202757	+	0.489499i	−0.992249	−	0.124262i	$-0.960344\pi$
$311$	−3.57566	+	8.63240i	−0.202757	+	0.489499i	0.789493	+	0.613760i	$0.210344\pi$
$312$	0.441577	−	2.49637i	0.0249994	−	0.141329i
$313$	1.24313	+	3.00117i	0.0702657	+	0.169636i	0.955111	−	0.296249i	$-0.0957359\pi$
$313$	1.24313	+	3.00117i	0.0702657	+	0.169636i	−0.884845	+	0.465886i	$0.845736\pi$
$314$	20.9312	+	25.5794i	1.18121	+	1.44353i
$315$	0.609495	+	11.9063i	0.0343411	+	0.670842i
$316$	−18.2012	−	12.2373i	−1.02390	−	0.688399i
$317$	−7.72378	−	11.5595i	−0.433811	−	0.649244i	0.548576	−	0.836101i	$-0.315170\pi$
$317$	−7.72378	−	11.5595i	−0.433811	−	0.649244i	−0.982387	+	0.186857i	$0.940170\pi$
$318$	−15.4930	+	16.2596i	−0.868804	+	0.911795i
$319$			11.5795i			0.648329i
$320$	−10.4317	−	10.6127i	−0.583150	−	0.593269i
$321$	7.67911	−	6.63785i	0.428606	−	0.370488i
$322$	−5.07245	+	0.492252i	−0.282677	+	0.0274321i
$323$	−34.5002	+	23.0523i	−1.91964	+	1.28266i
$324$	11.4365	+	13.8999i	0.635360	+	0.772216i
$325$	−0.781526	+	0.155455i	−0.0433513	+	0.00862310i
$326$	−3.61794	+	2.96050i	−0.200379	+	0.163967i
$327$	−4.69933	−	2.35938i	−0.259874	−	0.130474i
$328$	1.10026	−	10.6992i	0.0607518	−	0.590766i
$329$	20.9034	+	8.65847i	1.15244	+	0.477357i
$330$	−4.81363	+	7.59476i	−0.264982	+	0.418078i
$331$	6.10296	+	4.07787i	0.335449	+	0.224140i	0.711874	−	0.702307i	$-0.247847\pi$
$331$	6.10296	+	4.07787i	0.335449	+	0.224140i	−0.376425	+	0.926447i	$0.622847\pi$
$332$	0.0906813	−	31.6282i	0.00497678	−	1.73582i
$333$	0.520994	−	1.46559i	0.0285503	−	0.0803137i
$334$	−14.3069	+	7.62084i	−0.782838	+	0.416994i
$335$	18.0868	−	18.0868i	0.988190	−	0.988190i
$336$	−7.23479	−	12.9125i	−0.394690	−	0.704432i
$337$	−14.8872	−	14.8872i	−0.810960	−	0.810960i	0.173818	−	0.984778i	$-0.444390\pi$
$337$	−14.8872	−	14.8872i	−0.810960	−	0.810960i	−0.984778	+	0.173818i	$0.944390\pi$
$338$	17.2232	+	5.25158i	0.936820	+	0.285648i
$339$	0.771505	−	0.438102i	0.0419024	−	0.0237944i
$340$	−18.2964	−	7.64015i	−0.992262	−	0.414345i
$341$	−4.22749	+	6.32688i	−0.228931	+	0.342620i
$342$	−26.5430	−	19.6599i	−1.43528	−	1.06309i
$343$	−7.71437	+	18.6241i	−0.416537	+	1.00561i
$344$	5.11811	−	16.6146i	0.275950	−	0.895798i
$345$	−4.85688	−	2.43848i	−0.261486	−	0.131284i
$346$	1.19440	+	0.119368i	0.0642115	+	0.00641724i
$347$	3.23177	+	16.2472i	0.173491	+	0.872197i	0.965243	+	0.261354i	$0.0841691\pi$
$347$	3.23177	+	16.2472i	0.173491	+	0.872197i	−0.791752	+	0.610842i	$0.790831\pi$
$348$	−9.98635	−	17.7042i	−0.535325	−	0.949042i
$349$	7.90117	+	11.8249i	0.422940	+	0.632974i	0.980351	−	0.197263i	$-0.0632052\pi$
$349$	7.90117	+	11.8249i	0.422940	+	0.632974i	−0.557411	+	0.830237i	$0.688205\pi$
$350$	−2.95653	+	3.59203i	−0.158033	+	0.192002i
$351$	2.26727	−	1.44556i	0.121018	−	0.0771585i
$352$	1.17380	−	11.1015i	0.0625639	−	0.591711i
$353$	9.52419			0.506922			0.253461	−	0.967346i	$-0.418431\pi$
$353$	9.52419			0.506922			0.253461	+	0.967346i	$0.418431\pi$
$354$	−0.224071	−	9.28045i	−0.0119092	−	0.493250i
$355$	2.86604	−	1.91503i	0.152114	−	0.101639i
$356$	−6.60608	−	9.94833i	−0.350122	−	0.527260i
$357$	−15.5593	−	12.1169i	−0.823488	−	0.641293i
$358$	7.14065	+	0.713629i	0.377395	+	0.0377165i
$359$	−13.5909	+	5.62954i	−0.717301	+	0.297116i	−0.711322	−	0.702867i	$-0.751903\pi$
$359$	−13.5909	+	5.62954i	−0.717301	+	0.297116i	−0.00597878	+	0.999982i	$0.501903\pi$
$360$	0.809815	−	15.7631i	0.0426810	−	0.830789i
$361$	38.4459	+	15.9248i	2.02347	+	0.838149i
$362$	−5.59914	+	10.4392i	−0.294284	+	0.548673i
$363$	12.2131	−	1.51911i	0.641024	−	0.0797329i
$364$	−2.04516	+	0.840270i	−0.107195	+	0.0440421i
$365$	−19.1277	−	3.80473i	−1.00119	−	0.199149i
$366$	13.8442	+	31.2662i	0.723650	+	1.63431i
$367$	15.2685	−	15.2685i	0.797012	−	0.797012i	−0.185611	−	0.982623i	$-0.559427\pi$
$367$	15.2685	−	15.2685i	0.797012	−	0.797012i	0.982623	+	0.185611i	$0.0594266\pi$
$368$	6.74709	+	0.0386895i	0.351716	+	0.00201683i
$369$	9.14905	−	6.81465i	0.476281	−	0.354756i
$370$	−1.20380	+	0.641229i	−0.0625828	+	0.0333359i
$371$	19.2116	+	3.82143i	0.997418	+	0.198399i
$372$	1.00709	−	13.3191i	0.0522151	−	0.690564i
$373$	−2.86670	+	4.29031i	−0.148432	+	0.222144i	−0.898233	−	0.439519i	$-0.855149\pi$
$373$	−2.86670	+	4.29031i	−0.148432	+	0.222144i	0.749801	+	0.661663i	$0.230149\pi$
$374$	−4.29727	−	14.2396i	−0.222206	−	0.736314i
$375$	−20.0003	+	6.63004i	−1.03281	+	0.342374i
$376$	−26.3571	−	14.2343i	−1.35927	−	0.734076i
$377$	−2.80530	+	1.16199i	−0.144480	+	0.0598456i
$378$	4.89981	−	14.9148i	0.252019	−	0.767132i
$379$	−1.24650	−	6.26655i	−0.0640281	−	0.321891i	0.935476	−	0.353391i	$-0.114972\pi$
$379$	−1.24650	−	6.26655i	−0.0640281	−	0.321891i	−0.999504	+	0.0315000i	$0.989972\pi$
$380$	5.56918	+	28.4238i	0.285693	+	1.45811i
$381$	4.29454	+	1.18370i	0.220016	+	0.0606428i
$382$	11.3938	−	1.10570i	0.582956	−	0.0565724i
$383$	−16.8062			−0.858759			−0.429379	−	0.903124i	$-0.641268\pi$
$383$	−16.8062			−0.858759			−0.429379	+	0.903124i	$0.641268\pi$
$384$	7.77943	+	17.9856i	0.396992	+	0.917822i
$385$	7.84229			0.399680
$386$	2.67137	−	0.259241i	0.135969	−	0.0131950i
$387$	16.6529	−	7.91826i	0.846517	−	0.402508i
$388$	4.81466	+	24.5729i	0.244427	+	1.24750i
$389$	−7.14674	−	35.9291i	−0.362354	−	1.82168i	−0.544925	−	0.838485i	$-0.683442\pi$
$389$	−7.14674	−	35.9291i	−0.362354	−	1.82168i	0.182571	−	0.983193i	$-0.441558\pi$
$390$	−2.32297	−	0.404041i	−0.117628	−	0.0204594i
$391$	8.30557	−	3.44028i	0.420031	−	0.173982i
$392$	3.27400	−	6.06236i	0.165362	−	0.306196i
$393$	6.70430	+	20.2243i	0.338187	+	1.02018i
$394$	−5.11793	−	16.9590i	−0.257837	−	0.854383i
$395$	−11.3330	+	16.9610i	−0.570224	+	0.853401i
$396$	9.51611	−	7.04571i	0.478202	−	0.354060i
$397$	21.4328	+	4.26326i	1.07568	+	0.213967i	0.700982	−	0.713179i	$-0.252745\pi$
$397$	21.4328	+	4.26326i	1.07568	+	0.213967i	0.374701	+	0.927146i	$0.377745\pi$
$398$	−21.5300	+	11.4684i	−1.07920	+	0.574857i
$399$	−2.08970	+	28.7326i	−0.104616	+	1.43843i
$400$	4.38024	−	4.33029i	0.219012	−	0.216515i
$401$	23.4026	−	23.4026i	1.16867	−	1.16867i	0.186150	−	0.982521i	$-0.440399\pi$
$401$	23.4026	−	23.4026i	1.16867	−	1.16867i	0.982521	−	0.186150i	$-0.0596010\pi$
$402$	−30.7985	+	13.6371i	−1.53609	+	0.680159i
$403$	−1.95699	−	0.389270i	−0.0974849	−	0.0193909i
$404$	−7.54474	+	3.09982i	−0.375365	+	0.154222i
$405$	12.8974	−	10.6738i	0.640876	−	0.530385i
$406$	−8.37934	+	15.6227i	−0.415859	+	0.775343i
$407$	−0.945293	−	0.391553i	−0.0468564	−	0.0194086i
$408$	18.8506	+	18.0652i	0.933245	+	0.894361i
$409$	0.883321	−	0.365884i	0.0436774	−	0.0180918i	−0.360738	−	0.932667i	$-0.617475\pi$
$409$	0.883321	−	0.365884i	0.0436774	−	0.0180918i	0.404415	+	0.914575i	$0.367475\pi$
$410$	−9.95398	−	0.994791i	−0.491592	−	0.0491292i
$411$	−7.84674	+	10.0760i	−0.387051	+	0.497014i
$412$	14.4545	+	21.7675i	0.712120	+	1.07241i
$413$	−6.73195	+	4.49815i	−0.331258	+	0.221339i
$414$	4.80932	+	5.29960i	0.236365	+	0.260461i
$415$	−29.4167			−1.44401
$416$	2.80727	−	0.829651i	0.137638	−	0.0406770i
$417$	−0.131889	+	0.114005i	−0.00645863	+	0.00558286i
$418$	−13.8082	+	16.7762i	−0.675380	+	0.820551i
$419$	15.1555	+	22.6819i	0.740396	+	1.10808i	0.990183	+	0.139780i	$0.0446397\pi$
$419$	15.1555	+	22.6819i	0.740396	+	1.10808i	−0.249786	+	0.968301i	$0.580360\pi$
$420$	−11.9902	+	6.76330i	−0.585062	+	0.330015i
$421$	3.74500	+	18.8274i	0.182520	+	0.917591i	0.958120	+	0.286366i	$0.0924474\pi$
$421$	3.74500	+	18.8274i	0.182520	+	0.917591i	−0.775600	+	0.631225i	$0.782553\pi$
$422$	12.3760	+	1.23685i	0.602454	+	0.0602087i
$423$	−7.78347	−	30.8041i	−0.378445	−	1.49775i
$424$	−24.7842	−	7.63475i	−1.20363	−	0.370776i
$425$	3.14056	−	7.58198i	0.152339	−	0.367780i
$426$	−4.42915	+	0.992720i	−0.214593	+	0.0480975i
$427$	16.5687	−	24.7969i	0.801817	−	1.20000i
$428$	10.8155	+	4.51632i	0.522789	+	0.218304i
$429$	−0.873412	−	1.53809i	−0.0421687	−	0.0742599i
$430$	−15.4664	−	4.71590i	−0.745856	−	0.227421i
$431$	26.6798	+	26.6798i	1.28512	+	1.28512i	0.937716	+	0.347403i	$0.112936\pi$
$431$	26.6798	+	26.6798i	1.28512	+	1.28512i	0.347403	+	0.937716i	$0.387064\pi$
$432$	−8.47302	+	18.9791i	−0.407658	+	0.913134i
$433$	−24.0879	+	24.0879i	−1.15759	+	1.15759i	−0.172598	+	0.984992i	$0.555216\pi$
$433$	−24.0879	+	24.0879i	−1.15759	+	1.15759i	−0.984992	+	0.172598i	$0.944784\pi$
$434$	−10.2819	+	5.47687i	−0.493548	+	0.262898i
$435$	−16.4395	+	9.33522i	−0.788213	+	0.447590i
$436$	0.0174085	−	6.07181i	0.000833716	−	0.290787i
$437$	−10.9193	−	7.29604i	−0.522341	−	0.349017i
$438$	21.6913	+	13.7482i	1.03645	+	0.656912i
$439$	−12.9037	−	5.34487i	−0.615858	−	0.255097i	0.0528731	−	0.998601i	$-0.483162\pi$
$439$	−12.9037	−	5.34487i	−0.615858	−	0.255097i	−0.668731	+	0.743505i	$0.733162\pi$
$440$	−10.3283	−	1.06212i	−0.492382	−	0.0506344i
$441$	7.08521	−	1.79026i	0.337391	−	0.0852507i
$442$	3.01852	−	2.47000i	0.143576	−	0.117486i
$443$	−0.205918	+	0.0409597i	−0.00978348	+	0.00194606i	−0.199980	−	0.979800i	$-0.564088\pi$
$443$	−0.205918	+	0.0409597i	−0.00978348	+	0.00194606i	0.190196	+	0.981746i	$0.439088\pi$
$444$	1.78296	−	0.216581i	0.0846153	−	0.0102785i
$445$	−9.23503	+	6.17065i	−0.437783	+	0.292517i
$446$	26.6977	−	2.59085i	1.26417	−	0.122680i
$447$	26.8318	+	31.0409i	1.26910	+	1.46818i
$448$	9.61706	−	14.1284i	0.454364	−	0.667502i
$449$			24.1373i			1.13911i	0.821954	+	0.569554i	$0.192884\pi$
$449$			24.1373i			1.13911i	−0.821954	+	0.569554i	$0.807116\pi$
$450$	6.52533	+	0.316478i	0.307607	+	0.0149189i
$451$	−4.16918	−	6.23962i	−0.196319	−	0.293812i
$452$	0.850179	+	0.571604i	0.0399891	+	0.0268860i
$453$	16.3755	+	12.7524i	0.769386	+	0.599162i
$454$	12.7164	+	15.5403i	0.596810	+	0.729345i
$455$	0.786964	+	1.89990i	0.0368934	+	0.0890686i
$456$	6.64353	−	37.5578i	0.311112	−	1.75881i
$457$	−10.2246	+	24.6843i	−0.478286	+	1.15468i	0.482127	+	0.876102i	$0.339865\pi$
$457$	−10.2246	+	24.6843i	−0.478286	+	1.15468i	−0.960412	+	0.278582i	$0.910135\pi$
$458$	−8.63845	−	28.6248i	−0.403648	−	1.33755i
$459$	−0.594113	+	27.6868i	−0.0277308	+	1.29231i
$460$	0.0179921	−	6.27537i	0.000838888	−	0.292591i
$461$	−6.27058	+	31.5243i	−0.292050	+	1.46823i	0.504369	+	0.863488i	$0.331725\pi$
$461$	−6.27058	+	31.5243i	−0.292050	+	1.46823i	−0.796419	+	0.604746i	$0.793275\pi$
$462$	−9.63343	−	3.72050i	−0.448188	−	0.173093i
$463$	−12.2299	−	12.2299i	−0.568371	−	0.568371i	0.363301	−	0.931672i	$-0.381650\pi$
$463$	−12.2299	−	12.2299i	−0.568371	−	0.568371i	−0.931672	+	0.363301i	$0.881650\pi$
$464$	13.1515	−	19.4403i	0.610541	−	0.902493i
$465$	−12.3904	−	0.901147i	−0.574592	−	0.0417897i
$466$	−4.04850	+	13.2776i	−0.187543	+	0.615072i
$467$	3.87335	−	19.4727i	0.179237	−	0.901087i	−0.781559	−	0.623831i	$-0.785575\pi$
$467$	3.87335	−	19.4727i	0.179237	−	0.901087i	0.960796	−	0.277255i	$-0.0894248\pi$
$468$	2.66185	+	1.59838i	0.123044	+	0.0738849i
$469$	24.4259	+	16.3209i	1.12788	+	0.753628i
$470$	−13.1686	+	24.5520i	−0.607421	+	1.13250i
$471$	−38.4238	+	12.7374i	−1.77048	+	0.586909i
$472$	9.47519	−	5.01232i	0.436131	−	0.230711i
$473$	−4.64184	−	11.2064i	−0.213432	−	0.515271i
$474$	21.9679	−	15.4583i	1.00902	−	0.710023i
$475$	−11.7581	+	2.33882i	−0.539497	+	0.107313i
$476$	4.50655	−	22.3213i	0.206557	−	1.02310i
$477$	−11.8118	−	24.8414i	−0.540823	−	1.13741i
$478$	27.0766	+	22.2863i	1.23846	+	1.01935i
$479$		−	12.5702i		−	0.574346i	−0.957879	−	0.287173i	$-0.907285\pi$
$479$		−	12.5702i		−	0.574346i	0.957879	−	0.287173i	$-0.0927154\pi$
$480$	16.7071	−	7.28338i	0.762572	−	0.332439i
$481$		−	0.268302i		−	0.0122335i
$482$	2.78730	−	3.38642i	0.126958	−	0.154247i
$483$	1.65853	−	6.01725i	0.0754658	−	0.273795i
$484$	7.86141	+	11.8388i	0.357337	+	0.538126i
$485$	22.8417	−	4.54350i	1.03719	−	0.206310i
$486$	−20.9069	+	6.99294i	−0.948357	+	0.317206i
$487$	−10.8434	−	26.1784i	−0.491363	−	1.18625i	−0.954027	−	0.299721i	$-0.903106\pi$
$487$	−10.8434	−	26.1784i	−0.491363	−	1.18625i	0.462664	−	0.886534i	$-0.346894\pi$
$488$	−25.1794	+	30.4135i	−1.13982	+	1.37675i
$489$	−1.80157	−	5.43465i	−0.0814700	−	0.245764i
$490$	−5.64716	−	3.02889i	−0.255113	−	0.136831i
$491$	−15.9867	−	10.6820i	−0.721471	−	0.482072i	0.139824	−	0.990176i	$-0.455346\pi$
$491$	−15.9867	−	10.6820i	−0.721471	−	0.482072i	−0.861295	+	0.508105i	$0.830346\pi$
$492$	11.7555	+	5.94431i	0.529978	+	0.267990i
$493$	6.10094	−	30.6715i	0.274773	−	1.38138i
$494$	−5.44990	−	1.66174i	−0.245202	−	0.0747654i
$495$	−6.57839	−	8.83187i	−0.295677	−	0.396963i
$496$	14.2831	−	5.82051i	0.641329	−	0.261349i
$497$	2.79929	+	2.79929i	0.125565	+	0.125565i
$498$	36.1354	+	13.9557i	1.61926	+	0.625371i
$499$	−2.96494	+	14.9058i	−0.132729	+	0.667274i	0.855929	+	0.517093i	$0.172986\pi$
$499$	−2.96494	+	14.9058i	−0.132729	+	0.667274i	−0.988658	+	0.150181i	$0.952014\pi$
$500$	−17.1546	−	17.2533i	−0.767179	−	0.771590i
$501$	−2.45052	−	19.7013i	−0.109481	−	0.880190i
$502$	7.02563	−	2.12021i	0.313569	−	0.0946295i
$503$	8.18845	−	19.7687i	0.365105	−	0.881442i	−0.629432	−	0.777056i	$-0.716712\pi$
$503$	8.18845	−	19.7687i	0.365105	−	0.881442i	0.994537	−	0.104386i	$-0.0332877\pi$
$504$	17.9373	−	2.61967i	0.798992	−	0.116690i
$505$	2.90317	+	7.00888i	0.129189	+	0.311891i
$506$	3.64330	−	2.98124i	0.161964	−	0.132532i
$507$	−13.5497	+	17.3992i	−0.601763	+	0.772727i
$508$	0.989042	+	5.04785i	0.0438817	+	0.223962i
$509$	19.7020	+	29.4861i	0.873276	+	1.30695i	0.950751	+	0.309956i	$0.100314\pi$
$509$	19.7020	+	29.4861i	0.873276	+	1.30695i	−0.0774747	+	0.996994i	$0.524686\pi$
$510$	16.7517	−	17.5806i	0.741776	−	0.778482i
$511$		−	22.3983i		−	0.990841i
$512$	−14.5792	+	17.3046i	−0.644314	+	0.764761i
$513$	34.1111	−	21.7485i	1.50604	−	0.960221i
$514$	−1.90380	−	19.6179i	−0.0839730	−	0.865307i
$515$	20.2067	−	13.5017i	0.890415	−	0.594957i
$516$	16.7616	+	13.1305i	0.737886	+	0.578037i
$517$	−20.4984	+	4.07740i	−0.901521	+	0.179324i
$518$	−0.992017	−	1.21232i	−0.0435867	−	0.0532661i
$519$	−0.659633	+	1.31383i	−0.0289547	+	0.0576708i
$520$	−0.779120	−	2.60875i	−0.0341667	−	0.114401i
$521$	−28.5911	−	11.8428i	−1.25260	−	0.518843i	−0.344968	−	0.938614i	$-0.612110\pi$
$521$	−28.5911	−	11.8428i	−1.25260	−	0.518843i	−0.907630	+	0.419771i	$0.862110\pi$
$522$	24.6230	−	3.66821i	1.07772	−	0.160553i
$523$	1.31987	+	0.881908i	0.0577138	+	0.0385631i	0.584092	−	0.811687i	$-0.301451\pi$
$523$	1.31987	+	0.881908i	0.0577138	+	0.0385631i	−0.526379	+	0.850250i	$0.676451\pi$
$524$	−17.4465	+	17.3468i	−0.762156	+	0.757798i
$525$	−2.81357	−	4.95474i	−0.122794	−	0.216243i
$526$	−3.11195	−	5.84218i	−0.135687	−	0.254731i
$527$	14.5311	−	14.5311i	0.632985	−	0.632985i
$528$	12.1834	+	6.20460i	0.530212	+	0.270020i
$529$	−14.2515	−	14.2515i	−0.619632	−	0.619632i
$530$	−7.03477	+	23.0714i	−0.305571	+	1.00216i
$531$	10.7127	+	3.80822i	0.464894	+	0.165263i
$532$	−30.7694	+	12.6419i	−1.33402	+	0.548094i
$533$	1.09326	−	1.63618i	0.0473544	−	0.0708708i
$534$	14.2717	−	3.19877i	0.617598	−	0.138424i
$535$	4.17165	−	10.0713i	0.180356	−	0.435419i
$536$	−29.9586	−	24.8027i	−1.29401	−	1.07131i
$537$	−3.94356	+	7.85464i	−0.170177	+	0.338953i
$538$	1.46805	−	14.6895i	0.0632922	−	0.633308i
$539$	−0.937835	−	4.71482i	−0.0403954	−	0.203082i
$540$	17.6745	+	7.82990i	0.760591	+	0.336945i
$541$	−7.57021	−	11.3296i	−0.325469	−	0.487098i	0.632266	−	0.774751i	$-0.282125\pi$
$541$	−7.57021	−	11.3296i	−0.325469	−	0.487098i	−0.957735	+	0.287653i	$0.907125\pi$
$542$	15.4050	+	12.6796i	0.661703	+	0.544635i
$543$	−9.48775	−	10.9761i	−0.407158	−	0.471028i
$544$	−8.95821	+	28.7868i	−0.384080	+	1.23423i
$545$	−5.64726			−0.241902
$546$	−0.0653631	−	2.70718i	−0.00279728	−	0.115856i
$547$	−20.8771	+	13.9497i	−0.892642	+	0.596444i	−0.915066	−	0.403304i	$-0.867862\pi$
$547$	−20.8771	+	13.9497i	−0.892642	+	0.596444i	0.0224241	+	0.999749i	$0.492862\pi$
$548$	−14.4550	−	2.91839i	−0.617487	−	0.124667i
$549$	−41.8243	+	2.14103i	−1.78502	+	0.0913770i
$550$	0.427355	−	4.27616i	0.0182225	−	0.182336i
$551$	−42.2057	+	17.4822i	−1.79802	+	0.744765i
$552$	−2.99923	+	7.70011i	−0.127656	+	0.327738i
$553$	−21.6445	−	8.96544i	−0.920417	−	0.381249i
$554$	−23.6846	−	12.7034i	−1.00626	−	0.539715i
$555$	−0.206190	−	1.65770i	−0.00875229	−	0.0703653i
$556$	−0.185757	−	0.0775679i	−0.00787786	−	0.00328961i
$557$	37.0261	+	7.36495i	1.56885	+	0.312063i	0.901532	−	0.432712i	$-0.142443\pi$
$557$	37.0261	+	7.36495i	1.56885	+	0.312063i	0.667315	+	0.744775i	$0.267443\pi$
$558$	14.7928	+	6.98516i	0.626230	+	0.295705i
$559$	2.24910	−	2.24910i	0.0951267	−	0.0951267i
$560$	−13.1660	−	8.90688i	−0.556366	−	0.376384i
$561$	18.1688	+	1.32140i	0.767087	+	0.0557897i
$562$	0.183900	+	0.345243i	0.00775737	+	0.0145632i
$563$	16.7018	+	3.32220i	0.703898	+	0.140014i	0.534046	−	0.845455i	$-0.320671\pi$
$563$	16.7018	+	3.32220i	0.703898	+	0.140014i	0.169852	+	0.985470i	$0.445671\pi$
$564$	27.8240	−	23.9122i	1.17160	−	1.00688i
$565$	0.529365	−	0.792251i	0.0222706	−	0.0333303i
$566$	−8.93256	+	2.69569i	−0.375464	+	0.113308i
$567$	14.9130	+	12.1363i	0.626286	+	0.509678i
$568$	−3.30755	−	4.06579i	−0.138782	−	0.170597i
$569$	35.7511	−	14.8086i	1.49877	−	0.620809i	0.525562	−	0.850755i	$-0.323855\pi$
$569$	35.7511	−	14.8086i	1.49877	−	0.620809i	0.973203	+	0.229946i	$0.0738550\pi$
$570$	−34.9491	−	6.07880i	−1.46386	−	0.254613i
$571$	−2.80198	−	14.0865i	−0.117259	−	0.589502i	−0.994077	−	0.108679i	$-0.965338\pi$
$571$	−2.80198	−	14.0865i	−0.117259	−	0.589502i	0.876818	−	0.480823i	$-0.159662\pi$
$572$	1.13957	−	1.69494i	0.0476477	−	0.0708691i
$573$	−3.72540	+	13.5160i	−0.155631	+	0.564639i
$574$	−1.10972	−	11.4353i	−0.0463190	−	0.477298i
$575$	2.59741			0.108319
$576$	−23.9783	+	1.02078i	−0.999095	+	0.0425324i
$577$	20.6850			0.861126			0.430563	−	0.902560i	$-0.358315\pi$
$577$	20.6850			0.861126			0.430563	+	0.902560i	$0.358315\pi$
$578$	1.55779	+	16.0524i	0.0647957	+	0.667693i
$579$	−0.873453	+	3.16894i	−0.0362995	+	0.131697i
$580$	−18.1159	−	12.1799i	−0.752223	−	0.505745i
$581$	−6.59108	−	33.1356i	−0.273444	−	1.37470i
$582$	−30.2142	−	5.25524i	−1.25242	−	0.217837i
$583$	−16.7167	+	6.92429i	−0.692336	+	0.286775i
$584$	−3.03350	+	29.4986i	−0.125527	+	1.22066i
$585$	1.47950	−	2.47997i	0.0611700	−	0.102534i
$586$	7.24214	−	2.18555i	0.299170	−	0.0902841i
$587$	21.7543	−	32.5577i	0.897897	−	1.34380i	−0.0408405	−	0.999166i	$-0.513004\pi$
$587$	21.7543	−	32.5577i	0.897897	−	1.34380i	0.938738	−	0.344632i	$-0.111996\pi$
$588$	5.50000	+	6.39977i	0.226816	+	0.263922i
$589$	−29.4430	−	5.85657i	−1.21318	−	0.241316i
$590$	−4.68708	−	8.79924i	−0.192964	−	0.362259i
$591$	21.6385	+	1.57376i	0.890090	+	0.0647357i
$592$	1.14230	+	1.73097i	0.0469481	+	0.0711426i
$593$	−6.01737	+	6.01737i	−0.247104	+	0.247104i	−0.819781	−	0.572677i	$-0.805905\pi$
$593$	−6.01737	+	6.01737i	−0.247104	+	0.247104i	0.572677	+	0.819781i	$0.305905\pi$
$594$	3.89090	+	13.9699i	0.159646	+	0.573193i
$595$	−20.7724	−	4.13189i	−0.851586	−	0.169391i
$596$	−18.2561	+	43.7191i	−0.747798	+	1.79080i
$597$	−3.68771	−	29.6479i	−0.150928	−	1.21341i
$598$	1.08785	+	0.583473i	0.0444854	+	0.0238600i
$599$	15.1936	+	6.29339i	0.620793	+	0.257141i	0.670836	−	0.741606i	$-0.265936\pi$
$599$	15.1936	+	6.29339i	0.620793	+	0.257141i	−0.0500424	+	0.998747i	$0.515936\pi$
$600$	3.03443	+	6.90645i	0.123880	+	0.281955i
$601$	−10.0882	+	4.17868i	−0.411508	+	0.170452i	−0.578826	−	0.815451i	$-0.696489\pi$
$601$	−10.0882	+	4.17868i	−0.411508	+	0.170452i	0.167319	+	0.985903i	$0.446489\pi$
$602$	1.84670	−	18.4783i	0.0752661	−	0.753119i
$603$	−2.10900	−	41.1987i	−0.0858853	−	1.67774i
$604$	−4.74293	+	23.4921i	−0.192987	+	0.955880i
$605$	10.9899	−	7.34324i	0.446804	−	0.298545i
$606$	−0.241129	−	9.98698i	−0.00979521	−	0.405693i
$607$	41.5684			1.68721			0.843605	−	0.536965i	$-0.180429\pi$
$607$	41.5684			1.68721			0.843605	+	0.536965i	$0.180429\pi$
$608$	42.2354	−	12.4821i	1.71287	−	0.506216i
$609$	−14.1988	−	16.4261i	−0.575365	−	0.665621i
$610$	28.3539	+	23.3375i	1.14801	+	0.944908i
$611$	−3.04480	−	4.55686i	−0.123179	−	0.184351i
$612$	−28.9182	+	13.6487i	−1.16895	+	0.551716i
$613$	−3.18931	−	16.0338i	−0.128815	−	0.647597i	−0.990201	−	0.139647i	$-0.955403\pi$
$613$	−3.18931	−	16.0338i	−0.128815	−	0.647597i	0.861386	−	0.507950i	$-0.169597\pi$
$614$	−0.511757	+	5.12069i	−0.0206528	+	0.206654i
$615$	5.49728	−	10.9493i	0.221672	−	0.441518i
$616$	−1.11776	−	11.8720i	−0.0450357	−	0.478336i
$617$	−9.37934	+	22.6437i	−0.377598	+	0.911602i	0.614817	+	0.788670i	$0.289230\pi$
$617$	−9.37934	+	22.6437i	−0.377598	+	0.911602i	−0.992415	+	0.122932i	$0.960770\pi$
$618$	−31.2273	+	6.99907i	−1.25615	+	0.281544i
$619$	19.5432	−	29.2484i	0.785506	−	1.17559i	−0.195326	−	0.980738i	$-0.562577\pi$
$619$	19.5432	−	29.2484i	0.785506	−	1.17559i	0.980832	−	0.194854i	$-0.0624234\pi$
$620$	−5.45158	−	13.2687i	−0.218941	−	0.532886i
$621$	−8.16778	+	3.17968i	−0.327762	+	0.127596i
$622$	3.85392	−	12.6394i	0.154528	−	0.506794i
$623$	−9.01994	−	9.01994i	−0.361376	−	0.361376i
$624$	−0.280562	+	3.57421i	−0.0112315	+	0.143083i
$625$	−10.5569	+	10.5569i	−0.422275	+	0.422275i
$626$	−2.15979	−	4.05465i	−0.0863224	−	0.162056i
$627$	−13.1405	−	23.1406i	−0.524780	−	0.924147i
$628$	−32.9569	−	33.1464i	−1.31512	−	1.32269i
$629$	2.29756	+	1.53518i	0.0916099	+	0.0612117i
$630$	−2.48431	−	16.6760i	−0.0989774	−	0.664388i
$631$	−2.07243	−	0.858428i	−0.0825021	−	0.0341735i	0.341051	−	0.940045i	$-0.389217\pi$
$631$	−2.07243	−	0.858428i	−0.0825021	−	0.0341735i	−0.423553	+	0.905871i	$0.639217\pi$
$632$	27.2916	+	14.7389i	1.08560	+	0.586282i
$633$	−6.83490	+	13.6135i	−0.271663	+	0.541087i
$634$	12.4510	+	15.2160i	0.494493	+	0.604306i
$635$	4.69222	−	0.933340i	0.186205	−	0.0370385i
$636$	19.5869	−	25.0034i	0.776671	−	0.991450i
$637$	1.04812	−	0.700329i	0.0415279	−	0.0277481i
$638$	−1.58176	−	16.2994i	−0.0626224	−	0.645298i
$639$	0.804375	−	5.50067i	0.0318206	−	0.217603i
$640$	16.1334	+	13.5135i	0.637727	+	0.534168i
$641$			6.47801i			0.255866i	0.991783	+	0.127933i	$0.0408342\pi$
$641$			6.47801i			0.255866i	−0.991783	+	0.127933i	$0.959166\pi$
$642$	−9.90240	+	10.3924i	−0.390816	+	0.410155i
$643$	4.48236	+	6.70832i	0.176767	+	0.264550i	0.909264	−	0.416220i	$-0.136645\pi$
$643$	4.48236	+	6.70832i	0.176767	+	0.264550i	−0.732497	+	0.680770i	$0.761645\pi$
$644$	7.07274	−	1.38579i	0.278705	−	0.0546077i
$645$	12.1676	−	15.6245i	0.479098	−	0.615212i
$646$	45.4136	−	37.1612i	1.78677	−	1.46209i
$647$	−1.11400	−	2.68944i	−0.0437960	−	0.105733i	0.900468	−	0.434923i	$-0.143224\pi$
$647$	−1.11400	−	2.68944i	−0.0437960	−	0.105733i	−0.944264	+	0.329190i	$0.893224\pi$
$648$	−17.9967	−	18.0033i	−0.706978	−	0.707236i
$649$	2.86207	−	6.90964i	0.112346	−	0.271227i
$650$	1.07884	−	0.325575i	0.0423157	−	0.0127701i
$651$	−1.76111	−	14.1587i	−0.0690235	−	0.554924i
$652$	4.68822	−	4.66141i	0.183605	−	0.182555i
$653$	2.97051	−	14.9337i	0.116245	−	0.584403i	−0.878124	−	0.478432i	$-0.841205\pi$
$653$	2.97051	−	14.9337i	0.116245	−	0.584403i	0.994369	−	0.105970i	$-0.0337948\pi$
$654$	6.93707	+	2.67914i	0.271261	+	0.104763i
$655$	16.1803	+	16.1803i	0.632215	+	0.632215i
$656$	−0.0872211	+	15.2105i	−0.00340541	+	0.593872i
$657$	−25.2246	+	18.7885i	−0.984106	+	0.733008i
$658$	−30.6064	−	9.33228i	−1.19316	−	0.363810i
$659$	0.269916	−	1.35696i	0.0105144	−	0.0528596i	−0.975172	−	0.221449i	$-0.928921\pi$
$659$	0.269916	−	1.35696i	0.0105144	−	0.0528596i	0.985686	+	0.168590i	$0.0539213\pi$
$660$	5.73823	−	11.3479i	0.223360	−	0.441718i
$661$	6.50105	+	4.34386i	0.252862	+	0.168957i	0.675541	−	0.737323i	$-0.263910\pi$
$661$	6.50105	+	4.34386i	0.252862	+	0.168957i	−0.422679	+	0.906279i	$0.638910\pi$
$662$	−9.14757	−	4.90635i	−0.355530	−	0.190691i
$663$	1.50309	+	4.53423i	0.0583751	+	0.176095i
$664$	4.19275	+	44.5323i	0.162710	+	1.72819i
$665$	11.8399	+	28.5840i	0.459131	+	1.10844i
$666$	−0.533153	+	2.13413i	−0.0206593	+	0.0826958i
$667$	9.70752	−	1.93095i	0.375877	−	0.0747665i
$668$	19.0974	−	12.6814i	0.738900	−	0.490659i
$669$	−8.72930	+	31.6704i	−0.337494	+	1.22445i
$670$	−22.9884	+	27.9297i	−0.888120	+	1.07902i
$671$			27.5484i			1.06349i
$672$	11.9475	+	17.1873i	0.460886	+	0.663015i
$673$		−	18.5310i		−	0.714318i	−0.934044	−	0.357159i	$-0.883745\pi$
$673$		−	18.5310i		−	0.714318i	0.934044	−	0.357159i	$-0.116255\pi$
$674$	22.9889	+	18.9217i	0.885499	+	0.728837i
$675$	−3.21983	+	7.32481i	−0.123931	+	0.281932i
$676$	−24.9608	−	5.03945i	−0.960031	−	0.193825i
$677$	19.7284	−	3.92422i	0.758223	−	0.150820i	0.199185	−	0.979962i	$-0.436170\pi$
$677$	19.7284	−	3.92422i	0.758223	−	0.150820i	0.559038	+	0.829142i	$0.311170\pi$
$678$	−1.02613	+	0.722060i	−0.0394081	+	0.0277305i
$679$	10.2358	+	24.7114i	0.392814	+	0.948336i
$680$	26.7977	+	8.25501i	1.02764	+	0.316565i
$681$	−23.3437	+	7.73840i	−0.894534	+	0.296536i
$682$	5.08637	−	9.48319i	0.194767	−	0.363130i
$683$	−13.8208	−	9.23478i	−0.528839	−	0.353359i	0.262309	−	0.964984i	$-0.415516\pi$
$683$	−13.8208	−	9.23478i	−0.528839	−	0.353359i	−0.791148	+	0.611625i	$0.790516\pi$
$684$	40.0475	+	24.0476i	1.53126	+	0.919482i
$685$	−2.67576	+	13.4520i	−0.102236	+	0.513973i
$686$	8.31471	−	27.2691i	0.317457	−	1.04114i
$687$	36.5232	+	2.65631i	1.39345	+	0.101345i
$688$	−4.93471	+	24.0858i	−0.188134	+	0.918264i
$689$	−3.35501	−	3.35501i	−0.127816	−	0.127816i
$690$	7.16964	+	2.76896i	0.272944	+	0.105413i
$691$	−4.94539	+	24.8622i	−0.188132	+	0.945801i	0.765181	+	0.643816i	$0.222650\pi$
$691$	−4.94539	+	24.8622i	−0.188132	+	0.945801i	−0.953312	+	0.301986i	$0.902350\pi$
$692$	−1.69755	−	0.00486705i	−0.0645311	−	0.000185017i
$693$	8.47445	−	9.38890i	0.321918	−	0.356655i
$694$	−6.76841	−	22.4282i	−0.256925	−	0.851361i
$695$	−0.0716483	+	0.172974i	−0.00271777	+	0.00656129i
$696$	16.4752	+	23.5562i	0.624490	+	0.892897i
$697$	7.75572	+	18.7240i	0.293769	+	0.709220i
$698$	−12.7370	−	15.5655i	−0.482101	−	0.589162i
$699$	−13.4133	−	10.4456i	−0.507337	−	0.395090i
$700$	3.67095	−	5.46001i	0.138749	−	0.206369i
$701$	−0.982751	−	1.47079i	−0.0371180	−	0.0555510i	0.812447	−	0.583036i	$-0.198135\pi$
$701$	−0.982751	−	1.47079i	−0.0371180	−	0.0555510i	−0.849565	+	0.527485i	$0.823135\pi$
$702$	−2.99395	+	2.34449i	−0.112999	+	0.0884869i
$703$		−	4.03660i		−	0.152243i
$704$	−0.135790	+	15.7868i	−0.00511778	+	0.594988i
$705$	−22.3142	−	25.8146i	−0.840401	−	0.972233i
$706$	−13.4063	+	1.30100i	−0.504551	+	0.0489638i
$707$	−7.24446	+	4.84059i	−0.272456	+	0.182049i
$708$	1.58311	+	13.0326i	0.0594968	+	0.489794i
$709$	9.68808	−	1.92708i	0.363843	−	0.0723729i	−0.00978323	−	0.999952i	$-0.503114\pi$
$709$	9.68808	−	1.92708i	0.363843	−	0.0723729i	0.373627	+	0.927579i	$0.378114\pi$
$710$	−3.77265	+	3.08710i	−0.141585	+	0.115857i
$711$	8.05942	+	31.8962i	0.302252	+	1.19620i
$712$	10.6577	+	13.1009i	0.399413	+	0.490976i
$713$	6.00899	+	2.48901i	0.225039	+	0.0932140i
$714$	23.5565	+	14.9303i	0.881580	+	0.558754i
$715$	−1.57946	−	1.05536i	−0.0590683	−	0.0394682i
$716$	−10.1487	−	0.0290972i	−0.379273	−	0.00108742i
$717$	−37.3487	+	21.2086i	−1.39481	+	0.792050i
$718$	18.3616	−	9.78065i	0.685248	−	0.365011i
$719$	29.6117	−	29.6117i	1.10433	−	1.10433i	0.110450	−	0.993882i	$-0.464771\pi$
$719$	29.6117	−	29.6117i	1.10433	−	1.10433i	0.993882	−	0.110450i	$-0.0352292\pi$
$720$	1.01334	+	22.2988i	0.0377648	+	0.831026i
$721$	19.7361	+	19.7361i	0.735011	+	0.735011i
$722$	−56.2919	−	17.1641i	−2.09497	−	0.638782i
$723$	2.65252	+	4.67113i	0.0986482	+	0.173721i
$724$	6.45536	−	15.4591i	0.239911	−	0.574533i
$725$	5.01980	−	7.51266i	0.186431	−	0.279013i
$726$	−16.9837	+	3.80662i	−0.630325	+	0.141277i
$727$	8.07331	−	19.4907i	0.299422	−	0.722869i	−0.700535	−	0.713618i	$-0.747055\pi$
$727$	8.07331	−	19.4907i	0.299422	−	0.722869i	0.999957	−	0.00925126i	$-0.00294481\pi$
$728$	2.76398	−	1.46213i	0.102440	−	0.0541902i
$729$	1.15822	−	26.9751i	0.0428970	−	0.999080i
$730$	27.4438	+	2.74271i	1.01574	+	0.101512i
$731$	6.39082	+	32.1288i	0.236373	+	1.18833i
$732$	−23.7581	−	42.1192i	−0.878125	−	1.55677i
$733$	−9.92215	−	14.8495i	−0.366483	−	0.548481i	0.601701	−	0.798722i	$-0.294490\pi$
$733$	−9.92215	−	14.8495i	−0.366483	−	0.548481i	−0.968184	+	0.250241i	$0.919490\pi$
$734$	−19.4064	+	23.5777i	−0.716301	+	0.870269i
$735$	5.93757	−	5.13245i	0.219011	−	0.189313i
$736$	−9.50249	+	0.867189i	−0.350267	+	0.0319650i
$737$	−27.1363			−0.999578
$738$	−11.9473	+	10.8421i	−0.439788	+	0.399102i
$739$	−34.6392	+	23.1452i	−1.27422	+	0.851408i	−0.994091	−	0.108553i	$-0.965378\pi$
$739$	−34.6392	+	23.1452i	−1.27422	+	0.851408i	−0.280132	+	0.959962i	$0.590378\pi$
$740$	1.60688	−	1.06703i	0.0590702	−	0.0392249i
$741$	4.28749	−	5.50559i	0.157505	−	0.202253i
$742$	−27.5643	−	2.75475i	−1.01192	−	0.101130i
$743$	−8.29139	+	3.43441i	−0.304182	+	0.125996i	−0.529553	−	0.848277i	$-0.677640\pi$
$743$	−8.29139	+	3.43441i	−0.304182	+	0.125996i	0.225372	+	0.974273i	$0.427640\pi$
$744$	0.401806	+	18.8856i	0.0147309	+	0.692379i
$745$	40.7106	+	16.8629i	1.49152	+	0.617808i
$746$	3.44911	−	6.43064i	0.126281	−	0.235442i
$747$	−31.7880	+	35.2181i	−1.16306	+	1.28856i
$748$	7.99396	+	19.4567i	0.292288	+	0.711408i
$749$	12.2792	+	2.44248i	0.448671	+	0.0892463i
$750$	27.2467	−	12.0645i	0.994910	−	0.440532i
$751$	−19.7420	+	19.7420i	−0.720397	+	0.720397i	−0.968686	−	0.248289i	$-0.920132\pi$
$751$	−19.7420	+	19.7420i	−0.720397	+	0.720397i	0.248289	+	0.968686i	$0.420132\pi$
$752$	39.0447	+	16.4358i	1.42381	+	0.599351i
$753$	−0.651961	+	8.96421i	−0.0237588	+	0.326674i
$754$	3.79001	−	2.01882i	0.138024	−	0.0735212i
$755$	21.8620	+	4.34861i	0.795638	+	0.158262i
$756$	−4.85962	+	21.6633i	−0.176743	+	0.787888i
$757$	−15.1461	+	22.6677i	−0.550495	+	0.823873i	−0.997501	−	0.0706576i	$-0.977490\pi$
$757$	−15.1461	+	22.6677i	−0.550495	+	0.823873i	0.447006	+	0.894531i	$0.352490\pi$
$758$	2.61058	+	8.65054i	0.0948204	+	0.314202i
$759$	1.81420	+	5.47273i	0.0658512	+	0.198648i
$760$	−11.7219	−	39.2487i	−0.425197	−	1.42370i
$761$	−22.9605	+	9.51056i	−0.832318	+	0.344757i	−0.757820	−	0.652464i	$-0.773735\pi$
$761$	−22.9605	+	9.51056i	−0.832318	+	0.344757i	−0.0744981	+	0.997221i	$0.523735\pi$
$762$	−6.20669	−	1.07955i	−0.224845	−	0.0391078i
$763$	−1.26532	−	6.36119i	−0.0458077	−	0.230291i
$764$	−15.8868	+	3.11276i	−0.574766	+	0.112616i
$765$	12.7714	+	26.8596i	0.461750	+	0.971109i
$766$	23.6565	−	2.29572i	0.854744	−	0.0829479i
$767$	1.96116			0.0708134
$768$	−13.4071	−	24.2538i	−0.483789	−	0.875185i
$769$	−48.0221			−1.73172			−0.865860	−	0.500287i	$-0.833228\pi$
$769$	−48.0221			−1.73172			−0.865860	+	0.500287i	$0.833228\pi$
$770$	−11.0388	+	1.07125i	−0.397811	+	0.0386052i
$771$	23.2719	+	6.41443i	0.838118	+	0.231010i
$772$	−3.72481	+	0.729815i	−0.134059	+	0.0262666i
$773$	4.43577	+	22.3001i	0.159544	+	0.802079i	0.974818	+	0.223004i	$0.0715863\pi$
$773$	4.43577	+	22.3001i	0.159544	+	0.802079i	−0.815274	+	0.579075i	$0.803414\pi$
$774$	−22.3591	+	13.4205i	−0.803680	+	0.482391i
$775$	5.48548	−	2.27216i	0.197044	−	0.0816185i
$776$	−10.1338	−	33.9312i	−0.363781	−	1.21806i
$777$	1.82107	−	0.603679i	0.0653304	−	0.0216569i
$778$	14.9677	+	49.5976i	0.536616	+	1.77816i
$779$	16.4481	−	24.6163i	0.589314	−	0.881971i
$780$	3.32501	+	0.251412i	0.119055	+	0.00900198i
$781$	−3.58660	−	0.713419i	−0.128339	−	0.0255281i
$782$	−11.2210	+	5.97708i	−0.401262	+	0.213740i
$783$	−6.58841	+	29.7693i	−0.235450	+	1.06387i
$784$	−3.78037	+	8.98062i	−0.135013	+	0.320736i
$785$	−30.7406	+	30.7406i	−1.09718	+	1.09718i
$786$	−12.1996	−	27.5519i	−0.435146	−	0.982744i
$787$	15.7051	+	3.12394i	0.559826	+	0.111356i	0.466889	−	0.884316i	$-0.345375\pi$
$787$	15.7051	+	3.12394i	0.559826	+	0.111356i	0.0929365	+	0.995672i	$0.470375\pi$
$788$	9.52059	+	23.1724i	0.339157	+	0.825484i
$789$	8.04497	−	1.00066i	0.286409	−	0.0356245i
$790$	13.6355	−	25.4224i	0.485128	−	0.904489i
$791$	1.01102	+	0.418777i	0.0359476	+	0.0148900i
$792$	−12.4324	+	11.2175i	−0.441768	+	0.398595i
$793$	−6.67396	+	2.76445i	−0.236999	+	0.0981684i
$794$	−30.7512	−	3.07325i	−1.09132	−	0.109066i
$795$	−23.3072	−	18.1505i	−0.826621	−	0.643733i
$796$	28.7390	−	19.0839i	1.01863	−	0.676409i
$797$	−3.42496	+	2.28848i	−0.121318	+	0.0810623i	−0.614749	−	0.788723i	$-0.710743\pi$
$797$	−3.42496	+	2.28848i	−0.121318	+	0.0810623i	0.493431	+	0.869785i	$0.335743\pi$
$798$	−0.983387	−	40.7295i	−0.0348115	−	1.44181i
$799$	56.4439			1.99684
$800$	−5.57411	+	6.69366i	−0.197075	+	0.236657i
$801$	−2.59188	+	17.7244i	−0.0915794	+	0.626260i
$802$	−29.7448	+	36.1383i	−1.05032	+	1.27609i
$803$	11.4947	+	17.2031i	0.405641	+	0.607084i
$804$	41.4891	−	23.4027i	1.46321	−	0.825350i
$805$	−1.30774	−	6.57446i	−0.0460918	−	0.231719i
$806$	2.80784	+	0.280613i	0.0989020	+	0.00988417i
$807$	16.1583	+	8.11255i	0.568798	+	0.285575i
$808$	10.1965	−	5.39392i	0.358713	−	0.189757i
$809$	−1.81558	+	4.38320i	−0.0638324	+	0.154105i	−0.952577	−	0.304298i	$-0.901578\pi$
$809$	−1.81558	+	4.38320i	−0.0638324	+	0.154105i	0.888745	+	0.458403i	$0.151578\pi$
$810$	−16.6963	+	16.7862i	−0.586650	+	0.589808i
$811$	−12.6808	+	18.9782i	−0.445284	+	0.666415i	−0.984426	−	0.175800i	$-0.943749\pi$
$811$	−12.6808	+	18.9782i	−0.445284	+	0.666415i	0.539142	+	0.842215i	$0.318749\pi$
$812$	9.66071	−	23.1352i	0.339024	−	0.811885i
$813$	−21.2493	+	12.0665i	−0.745244	+	0.423190i
$814$	1.38408	+	0.422024i	0.0485120	+	0.0147919i
$815$	−4.34795	−	4.34795i	−0.152302	−	0.152302i
$816$	−29.0019	−	22.8536i	−1.01527	−	0.800037i
$817$	33.8377	−	33.8377i	1.18383	−	1.18383i
$818$	−1.19338	+	0.635679i	−0.0417257	+	0.0222260i
$819$	3.12499	+	1.11089i	0.109196	+	0.0388175i
$820$	14.1471	+	0.0405612i	0.494039	+	0.00141646i
$821$	−10.0088	−	6.68768i	−0.349310	−	0.233401i	0.368520	−	0.929620i	$-0.379865\pi$
$821$	−10.0088	−	6.68768i	−0.349310	−	0.233401i	−0.717830	+	0.696218i	$0.754865\pi$
$822$	9.66870	−	15.2549i	0.337235	−	0.532076i
$823$	23.4308	+	9.70535i	0.816746	+	0.338307i	0.751642	−	0.659571i	$-0.229262\pi$
$823$	23.4308	+	9.70535i	0.816746	+	0.338307i	0.0651037	+	0.997879i	$0.479262\pi$
$824$	−23.3195	−	28.6654i	−0.812374	−	0.998608i
$825$	4.70374	+	2.36159i	0.163763	+	0.0822202i
$826$	8.86146	−	7.25118i	0.308330	−	0.252301i
$827$	−9.50558	+	1.89078i	−0.330541	+	0.0657488i	−0.357571	−	0.933886i	$-0.616395\pi$
$827$	−9.50558	+	1.89078i	−0.330541	+	0.0657488i	0.0270299	+	0.999635i	$0.491395\pi$
$828$	−7.49352	−	6.80277i	−0.260418	−	0.236413i
$829$	−15.4321	+	10.3114i	−0.535981	+	0.358131i	−0.793912	−	0.608032i	$-0.791959\pi$
$829$	−15.4321	+	10.3114i	−0.535981	+	0.358131i	0.257932	+	0.966163i	$0.416959\pi$
$830$	41.4070	−	4.01831i	1.43726	−	0.139477i
$831$	24.9026	−	21.5259i	0.863862	−	0.746725i
$832$	−3.83819	+	1.55129i	−0.133065	+	0.0537813i
$833$			12.9826i			0.449820i
$834$	0.170074	−	0.178490i	0.00588918	−	0.00618060i
$835$	−11.8455	−	17.7281i	−0.409932	−	0.613507i
$836$	17.1448	−	25.5004i	0.592965	−	0.881950i
$837$	−14.4681	+	13.8602i	−0.500090	+	0.479078i
$838$	−24.4313	−	29.8568i	−0.843964	−	1.03139i
$839$	−3.03693	−	7.33179i	−0.104846	−	0.253121i	0.862747	−	0.505636i	$-0.168742\pi$
$839$	−3.03693	−	7.33179i	−0.104846	−	0.253121i	−0.967593	+	0.252515i	$0.918742\pi$
$840$	15.9536	−	11.1579i	0.550450	−	0.384983i
$841$	2.07810	−	5.01698i	0.0716587	−	0.172999i
$842$	−7.84328	−	25.9899i	−0.270297	−	0.895671i
$843$	−0.475417	+	0.0591341i	−0.0163742	+	0.00203669i
$844$	−17.5894	−	0.0504307i	−0.605453	−	0.00173590i
$845$	−4.62048	+	23.2287i	−0.158950	+	0.799093i
$846$	15.1639	+	42.2967i	0.521344	+	1.45419i
$847$	10.7340	+	10.7340i	0.368824	+	0.368824i
$848$	35.9291	+	7.36117i	1.23381	+	0.252784i
$849$	0.828920	−	11.3973i	0.0284485	−	0.391155i
$850$	−3.38496	+	11.1014i	−0.116103	+	0.380775i
$851$	−0.170620	+	0.857765i	−0.00584878	+	0.0294038i
$852$	6.09888	−	2.00237i	0.208944	−	0.0686002i
$853$	−22.1188	−	14.7793i	−0.757334	−	0.506034i	0.115945	−	0.993256i	$-0.463011\pi$
$853$	−22.1188	−	14.7793i	−0.757334	−	0.506034i	−0.873279	+	0.487221i	$0.838011\pi$
$854$	−19.9349	+	37.1674i	−0.682159	+	1.27184i
$855$	22.2591	−	37.3112i	0.761247	−	1.27601i
$856$	−15.8409	−	4.87977i	−0.541430	−	0.166787i
$857$	9.50073	+	22.9368i	0.324539	+	0.783506i	0.998979	+	0.0451767i	$0.0143851\pi$
$857$	9.50073	+	22.9368i	0.324539	+	0.783506i	−0.674440	+	0.738330i	$0.735615\pi$
$858$	1.43952	+	2.04571i	0.0491444	+	0.0698395i
$859$	22.9079	−	4.55667i	0.781609	−	0.155472i	0.211870	−	0.977298i	$-0.432045\pi$
$859$	22.9079	−	4.55667i	0.781609	−	0.155472i	0.569738	+	0.821826i	$0.307045\pi$
$860$	22.4147	+	4.52541i	0.764335	+	0.154315i
$861$	13.5652	+	3.73897i	0.462301	+	0.127424i
$862$	−41.1989	−	33.9100i	−1.40324	−	1.15498i
$863$		−	17.8714i		−	0.608348i	−0.952616	−	0.304174i	$-0.901620\pi$
$863$		−	17.8714i		−	0.608348i	0.952616	−	0.304174i	$-0.0983805\pi$
$864$	9.33409	−	27.8725i	0.317552	−	0.948241i
$865$			1.57885i			0.0536826i
$866$	30.6157	−	37.1965i	1.04037	−	1.26399i
$867$	−19.0424	−	5.24863i	−0.646713	−	0.178253i
$868$	13.7247	−	9.11375i	0.465847	−	0.309341i
$869$	21.2252	−	4.22195i	0.720015	−	0.143220i
$870$	21.8651	−	15.3859i	0.741295	−	0.521631i
$871$	−2.72309	−	6.57413i	−0.0922685	−	0.222756i
$872$	0.804902	+	8.54907i	0.0272574	+	0.289508i
$873$	19.2435	−	32.2562i	0.651292	−	1.09171i
$874$	16.3667	+	8.77835i	0.553610	+	0.296932i
$875$	−21.6091	−	14.4387i	−0.730520	−	0.488118i
$876$	−32.4107	−	16.3889i	−1.09506	−	0.553730i
$877$	6.84076	−	34.3908i	0.230996	−	1.16130i	−0.674937	−	0.737875i	$-0.735829\pi$
$877$	6.84076	−	34.3908i	0.230996	−	1.16130i	0.905933	−	0.423420i	$-0.139171\pi$
$878$	18.8933	+	5.76081i	0.637618	+	0.194418i
$879$	−0.672053	+	9.24046i	−0.0226678	+	0.311673i
$880$	14.6832	+	0.0841972i	0.494971	+	0.00283829i
$881$	−28.8509	−	28.8509i	−0.972011	−	0.972011i	0.0276079	−	0.999619i	$-0.491211\pi$
$881$	−28.8509	−	28.8509i	−0.972011	−	0.972011i	−0.999619	+	0.0276079i	$0.991211\pi$
$882$	−9.72860	+	3.48781i	−0.327579	+	0.117441i
$883$	0.878665	−	4.41735i	0.0295694	−	0.148656i	−0.963180	−	0.268857i	$-0.913354\pi$
$883$	0.878665	−	4.41735i	0.0295694	−	0.148656i	0.992750	+	0.120201i	$0.0383541\pi$
$884$	−3.91147	+	3.88910i	−0.131557	+	0.130805i
$885$	12.1170	−	1.50715i	0.407308	−	0.0506624i
$886$	0.284256	−	0.0857833i	0.00954977	−	0.00288195i
$887$	−17.2807	+	41.7193i	−0.580229	+	1.40080i	0.312376	+	0.949958i	$0.398875\pi$
$887$	−17.2807	+	41.7193i	−0.580229	+	1.40080i	−0.892605	+	0.450839i	$0.851125\pi$
$888$	−2.48011	+	0.548411i	−0.0832269	+	0.0184035i
$889$	2.10267	+	5.07629i	0.0705212	+	0.170253i
$890$	12.1563	−	9.94732i	0.407481	−	0.333435i
$891$	−17.6823	−	1.66806i	−0.592380	−	0.0558821i
$892$	−37.2258	+	7.29377i	−1.24641	+	0.244214i
$893$	−45.8090	−	68.5580i	−1.53294	−	2.29421i
$894$	−42.0087	−	40.0280i	−1.40498	−	1.33874i
$895$			9.43905i			0.315513i
$896$	−11.6071	+	21.2008i	−0.387765	+	0.708268i
$897$	−1.14379	+	0.988696i	−0.0381901	+	0.0330116i
$898$	−3.29714	−	33.9756i	−0.110027	−	1.13378i
$899$	18.8122	−	12.5699i	0.627423	−	0.419230i
$900$	−9.22830	+	0.445883i	−0.307610	+	0.0148628i
$901$	47.9270	−	9.53327i	1.59668	−	0.317599i
$902$	6.72088	+	8.21339i	0.223781	+	0.273476i
$903$	20.3260	+	10.2050i	0.676406	+	0.339602i
$904$	−1.27479	−	0.688457i	−0.0423990	−	0.0228977i
$905$	−14.3953	−	5.96272i	−0.478515	−	0.198207i
$906$	−24.7921	−	15.7135i	−0.823662	−	0.522045i
$907$	7.10293	+	4.74603i	0.235849	+	0.157589i	0.667879	−	0.744270i	$-0.267202\pi$
$907$	7.10293	+	4.74603i	0.235849	+	0.157589i	−0.432030	+	0.901859i	$0.642202\pi$
$908$	−20.0224	−	20.1376i	−0.664467	−	0.668288i
$909$	11.5283	+	4.09814i	0.382370	+	0.135927i
$910$	−1.36726	−	2.56680i	−0.0453241	−	0.0850886i
$911$	−28.2259	+	28.2259i	−0.935166	+	0.935166i	−0.998023	−	0.0628561i	$-0.979979\pi$
$911$	−28.2259	+	28.2259i	−0.935166	+	0.935166i	0.0628561	+	0.998023i	$0.479979\pi$
$912$	−4.22106	+	53.7739i	−0.139773	+	1.78063i
$913$	22.0674	+	22.0674i	0.730325	+	0.730325i
$914$	11.0203	−	36.1424i	0.364518	−	1.19548i
$915$	−39.1105	+	22.2090i	−1.29295	+	0.734208i
$916$	16.0696	+	39.1123i	0.530955	+	1.29231i
$917$	−14.6004	+	21.8511i	−0.482149	+	0.721587i
$918$	−2.94572	−	39.0531i	−0.0972234	−	1.28894i
$919$	2.20507	−	5.32351i	0.0727386	−	0.175606i	−0.883328	−	0.468755i	$-0.844703\pi$
$919$	2.20507	−	5.32351i	0.0727386	−	0.175606i	0.956067	+	0.293148i	$0.0947029\pi$
$920$	0.831887	+	8.83568i	0.0274265	+	0.291304i
$921$	−5.63272	−	2.82801i	−0.185604	−	0.0931860i
$922$	4.52027	−	45.2302i	0.148867	−	1.48958i
$923$	−0.187076	−	0.940492i	−0.00615767	−	0.0309567i
$924$	14.0682	+	3.92105i	0.462811	+	0.128993i
$925$	0.443554	+	0.663825i	0.0145840	+	0.0218264i
$926$	18.8854	+	15.5442i	0.620612	+	0.510814i
$927$	5.67116	−	38.7819i	0.186265	−	1.27376i
$928$	−15.8565	+	29.1607i	−0.520514	+	0.957245i
$929$	−28.7104			−0.941959			−0.470980	−	0.882144i	$-0.656099\pi$
$929$	−28.7104			−0.941959			−0.470980	+	0.882144i	$0.656099\pi$
$930$	17.5639	−	0.424068i	0.575942	−	0.0139057i
$931$	15.7689	−	10.5365i	0.516806	−	0.345318i
$932$	3.88497	−	19.2426i	0.127256	−	0.630311i
$933$	12.7686	+	9.94356i	0.418024	+	0.325538i
$934$	−2.79218	+	27.9388i	−0.0913629	+	0.914186i
$935$	18.0748	−	7.48684i	0.591110	−	0.244846i
$936$	−3.96516	−	1.88627i	−0.129605	−	0.0616546i
$937$	5.02224	+	2.08028i	0.164070	+	0.0679598i	0.463207	−	0.886250i	$-0.346699\pi$
$937$	5.02224	+	2.08028i	0.164070	+	0.0679598i	−0.299137	+	0.954210i	$0.596699\pi$
$938$	−36.6114	−	19.6367i	−1.19540	−	0.641162i
$939$	5.58345	−	0.694490i	0.182209	−	0.0226638i
$940$	15.1823	−	36.3582i	0.495193	−	1.18587i
$941$	52.9443	+	10.5313i	1.72593	+	0.343310i	0.955676	−	0.294421i	$-0.0951269\pi$
$941$	52.9443	+	10.5313i	1.72593	+	0.343310i	0.770259	+	0.637731i	$0.220127\pi$
$942$	52.3455	−	23.1779i	1.70551	−	0.755175i
$943$	−4.53566	+	4.53566i	−0.147701	+	0.147701i
$944$	−12.6526	+	8.34966i	−0.411807	+	0.271758i
$945$	20.1614	+	4.46203i	0.655850	+	0.145150i
$946$	8.06465	+	15.1401i	0.262204	+	0.492246i
$947$	−25.4282	−	5.05798i	−0.826304	−	0.164362i	−0.236216	−	0.971701i	$-0.575907\pi$
$947$	−25.4282	−	5.05798i	−0.826304	−	0.164362i	−0.590089	+	0.807339i	$0.700907\pi$
$948$	−28.8105	+	24.7599i	−0.935721	+	0.804165i
$949$	−3.01420	+	4.51107i	−0.0978450	+	0.146435i
$950$	16.2312	−	4.89827i	0.526609	−	0.158921i
$951$	−22.8566	+	7.57691i	−0.741176	+	0.245698i
$952$	−3.29435	+	32.0351i	−0.106770	+	1.03826i
$953$	33.7845	−	13.9940i	1.09439	−	0.453310i	0.238853	−	0.971056i	$-0.423229\pi$
$953$	33.7845	−	13.9940i	1.09439	−	0.453310i	0.855535	+	0.517746i	$0.173229\pi$
$954$	20.0196	+	33.3533i	0.648157	+	1.07985i
$955$	2.93745	+	14.7676i	0.0950538	+	0.477868i
$956$	−41.1574	−	27.6715i	−1.33113	−	0.894961i
$957$	19.3353	+	5.32938i	0.625022	+	0.172274i
$958$	1.71708	+	17.6938i	0.0554763	+	0.571660i
$959$	−15.7521			−0.508661
$960$	−22.5220	+	12.5343i	−0.726895	+	0.404542i
$961$	−16.1322			−0.520394
$962$	0.0366499	+	0.377662i	0.00118164	+	0.0121763i
$963$	−7.54953	−	15.8775i	−0.243280	−	0.511644i
$964$	−3.46082	+	5.14747i	−0.111465	+	0.165789i
$965$	0.688712	+	3.46239i	0.0221704	+	0.111458i
$966$	−1.51260	+	8.69645i	−0.0486670	+	0.279804i
$967$	29.4119	−	12.1828i	0.945822	−	0.391772i	0.144163	−	0.989554i	$-0.453951\pi$
$967$	29.4119	−	12.1828i	0.945822	−	0.391772i	0.801659	+	0.597781i	$0.203951\pi$
$968$	−12.6829	−	15.5904i	−0.407644	−	0.501094i
$969$	22.6140	+	68.2175i	0.726465	+	2.19146i
$970$	−31.5314	+	9.51561i	−1.01241	+	0.305528i
$971$	−24.0922	+	36.0565i	−0.773154	+	1.15711i	0.210597	+	0.977573i	$0.432459\pi$
$971$	−24.0922	+	36.0565i	−0.773154	+	1.15711i	−0.983752	+	0.179534i	$0.942541\pi$
$972$	28.4734	−	12.6991i	0.913283	−	0.407325i
$973$	−0.210895	−	0.0419497i	−0.00676099	−	0.00134484i
$974$	18.8392	+	35.3675i	0.603646	+	1.13325i
$975$	−0.100114	+	1.37653i	−0.00320621	+	0.0440841i
$976$	31.2881	−	46.2496i	1.00151	−	1.48041i
$977$	−22.3647	+	22.3647i	−0.715511	+	0.715511i	−0.967683	−	0.252171i	$-0.918855\pi$
$977$	−22.3647	+	22.3647i	−0.715511	+	0.715511i	0.252171	+	0.967683i	$0.418855\pi$
$978$	3.27827	+	7.40373i	0.104827	+	0.236745i
$979$	11.5568	+	2.29879i	0.369358	+	0.0734698i
$980$	8.36269	+	3.49206i	0.267136	+	0.111550i
$981$	−6.10249	+	6.76098i	−0.194837	+	0.215862i
$982$	23.9621	+	12.8522i	0.764661	+	0.410130i
$983$	17.4944	+	7.24643i	0.557986	+	0.231125i	0.643810	−	0.765185i	$-0.277353\pi$
$983$	17.4944	+	7.24643i	0.557986	+	0.231125i	−0.0858247	+	0.996310i	$0.527353\pi$
$984$	−17.3590	−	6.76143i	−0.553385	−	0.215546i
$985$	21.5266	−	8.91661i	0.685895	−	0.284107i
$986$	−4.39798	+	44.0066i	−0.140060	+	1.40146i
$987$	24.0784	−	30.9192i	0.766423	−	0.984168i
$988$	7.89827	+	1.59462i	0.251278	+	0.0507316i
$989$	−8.62066	+	5.76014i	−0.274121	+	0.183162i
$990$	10.4662	+	11.5331i	0.332637	+	0.366547i
$991$	−40.3258			−1.28099			−0.640496	−	0.767962i	$-0.721271\pi$
$991$	−40.3258			−1.28099			−0.640496	+	0.767962i	$0.721271\pi$
$992$	−19.3098	+	10.1440i	−0.613086	+	0.322073i
$993$	9.61799	−	8.31382i	0.305218	−	0.263831i
$994$	−4.32267	−	3.55790i	−0.137107	−	0.112850i
$995$	−17.8260	−	26.6785i	−0.565122	−	0.845764i
$996$	−52.7705	−	14.7080i	−1.67210	−	0.466041i
$997$	−8.82625	−	44.3726i	−0.279530	−	1.40529i	−0.824037	−	0.566536i	$-0.808283\pi$
$997$	−8.82625	−	44.3726i	−0.279530	−	1.40529i	0.544507	−	0.838757i	$-0.316717\pi$
$998$	2.13734	−	21.3864i	0.0676562	−	0.676974i
$999$	−2.20743	−	1.54447i	−0.0698400	−	0.0488649i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.179.1	yes	240
3.2	odd	2	inner	192.2.s.a.179.30	yes	240
4.3	odd	2		768.2.s.a.623.13		240
12.11	even	2		768.2.s.a.623.28		240
64.5	even	16		768.2.s.a.143.28		240
64.59	odd	16	inner	192.2.s.a.59.30	yes	240
192.5	odd	16		768.2.s.a.143.13		240
192.59	even	16	inner	192.2.s.a.59.1	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.1	✓	240	192.59	even	16	inner
192.2.s.a.59.30	yes	240	64.59	odd	16	inner
192.2.s.a.179.1	yes	240	1.1	even	1	trivial
192.2.s.a.179.30	yes	240	3.2	odd	2	inner
768.2.s.a.143.13		240	192.5	odd	16
768.2.s.a.143.28		240	64.5	even	16
768.2.s.a.623.13		240	4.3	odd	2
768.2.s.a.623.28		240	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.40760 + 0.136599i) q^{2} +(0.460241 - 1.66978i) q^{3} +(1.96268 - 0.384555i) q^{4} +(-0.362897 - 1.82441i) q^{5} +(-0.419744 + 2.41326i) q^{6} +(1.97374 - 0.817550i) q^{7} +(-2.71014 + 0.809401i) q^{8} +(-2.57636 - 1.53701i) q^{9} +O(q^{10})\)	\(q+(-1.40760 + 0.136599i) q^{2} +(0.460241 - 1.66978i) q^{3} +(1.96268 - 0.384555i) q^{4} +(-0.362897 - 1.82441i) q^{5} +(-0.419744 + 2.41326i) q^{6} +(1.97374 - 0.817550i) q^{7} +(-2.71014 + 0.809401i) q^{8} +(-2.57636 - 1.53701i) q^{9} +(0.760027 + 2.51847i) q^{10} +(-1.09638 + 1.64084i) q^{11} +(0.261183 - 3.45424i) q^{12} +(-0.507536 - 0.100955i) q^{13} +(-2.66656 + 1.42040i) q^{14} +(-3.21339 - 0.233708i) q^{15} +(3.70423 - 1.50952i) q^{16} +(3.76856 - 3.76856i) q^{17} +(3.83644 + 1.81156i) q^{18} +(-7.63588 - 1.51887i) q^{19} +(-1.41384 - 3.44118i) q^{20} +(-0.456735 - 3.67199i) q^{21} +(1.31912 - 2.45941i) q^{22} +(1.55840 + 0.645510i) q^{23} +(0.104206 + 4.89787i) q^{24} +(1.42263 - 0.589273i) q^{25} +(0.728198 + 0.0727755i) q^{26} +(-3.75221 + 3.59456i) q^{27} +(3.55943 - 2.36360i) q^{28} +(4.87885 - 3.25994i) q^{29} +(4.55509 - 0.109980i) q^{30} +3.85588 q^{31} +(-5.00789 + 2.63080i) q^{32} +(2.23525 + 2.58589i) q^{33} +(-4.78985 + 5.81941i) q^{34} +(-2.20781 - 3.30422i) q^{35} +(-5.64763 - 2.02590i) q^{36} +(0.101150 + 0.508516i) q^{37} +(10.9557 + 1.09491i) q^{38} +(-0.402162 + 0.801011i) q^{39} +(2.46018 + 4.65067i) q^{40} +(-1.45523 + 3.51323i) q^{41} +(1.14449 + 5.10631i) q^{42} +(-3.41483 + 5.11066i) q^{43} +(-1.52084 + 3.64207i) q^{44} +(-1.86917 + 5.25810i) q^{45} +(-2.28178 - 0.695744i) q^{46} +(7.48879 + 7.48879i) q^{47} +(-0.815727 - 6.88001i) q^{48} +(-1.72249 + 1.72249i) q^{49} +(-1.92200 + 1.02379i) q^{50} +(-4.55823 - 8.02713i) q^{51} +(-1.03495 - 0.00296732i) q^{52} +(7.62363 + 5.09395i) q^{53} +(4.79060 - 5.57226i) q^{54} +(3.39143 + 1.40478i) q^{55} +(-4.68739 + 3.81322i) q^{56} +(-6.05053 + 12.0512i) q^{57} +(-6.42216 + 5.25514i) q^{58} +(-3.71701 + 0.739360i) q^{59} +(-6.39673 + 0.777030i) q^{60} +(11.6071 - 7.75559i) q^{61} +(-5.42753 + 0.526710i) q^{62} +(-6.34164 - 0.927352i) q^{63} +(6.68974 - 4.38718i) q^{64} +0.962588i q^{65} +(-3.49958 - 3.33457i) q^{66} +(7.63957 + 11.4334i) q^{67} +(5.94726 - 8.84570i) q^{68} +(1.79510 - 2.30510i) q^{69} +(3.55907 + 4.34944i) q^{70} +(0.709134 + 1.71200i) q^{71} +(8.22635 + 2.08020i) q^{72} +(4.01217 - 9.68624i) q^{73} +(-0.211842 - 0.701971i) q^{74} +(-0.329205 - 2.64669i) q^{75} +(-15.5709 - 0.0446433i) q^{76} +(-0.822490 + 4.13494i) q^{77} +(0.456666 - 1.18244i) q^{78} +(-7.75429 - 7.75429i) q^{79} +(-4.09823 - 6.21023i) q^{80} +(4.27522 + 7.91975i) q^{81} +(1.56848 - 5.14402i) q^{82} +(3.08519 - 15.5103i) q^{83} +(-2.30851 - 7.03130i) q^{84} +(-8.24299 - 5.50779i) q^{85} +(4.10861 - 7.66023i) q^{86} +(-3.19795 - 9.64698i) q^{87} +(1.64323 - 5.33432i) q^{88} +(-2.28499 - 5.51645i) q^{89} +(1.91280 - 7.65663i) q^{90} +(-1.08428 + 0.215677i) q^{91} +(3.30688 + 0.667640i) q^{92} +(1.77463 - 6.43848i) q^{93} +(-11.5642 - 9.51827i) q^{94} +14.4821i q^{95} +(2.08802 + 9.57289i) q^{96} +12.5201i q^{97} +(2.18928 - 2.65986i) q^{98} +(5.34664 - 2.54226i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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