LMFDB - Embedded newform 192.2.s.a.107.16

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			107.16
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.194374 + 1.40079i) q^{2} +(-1.72790 - 0.119901i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(-1.28724 - 1.92649i) q^{5} +(-0.167902 - 2.44373i) q^{6} +(1.24174 - 2.99783i) q^{7} +(-1.13687 - 2.58989i) q^{8} +(2.97125 + 0.414354i) q^{9} +O(q^{10})$	\(q+(0.194374 + 1.40079i) q^{2} +(-1.72790 - 0.119901i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(-1.28724 - 1.92649i) q^{5} +(-0.167902 - 2.44373i) q^{6} +(1.24174 - 2.99783i) q^{7} +(-1.13687 - 2.58989i) q^{8} +(2.97125 + 0.414354i) q^{9} +(2.44840 - 2.17761i) q^{10} +(-4.09274 - 0.814097i) q^{11} +(3.39052 - 0.710194i) q^{12} +(2.40194 + 1.60493i) q^{13} +(4.44071 + 1.15672i) q^{14} +(1.99322 + 3.48311i) q^{15} +(3.40692 - 2.09593i) q^{16} +(-2.79904 - 2.79904i) q^{17} +(-0.00288996 + 4.24264i) q^{18} +(-4.13408 - 2.76230i) q^{19} +(3.52629 + 3.00643i) q^{20} +(-2.50505 + 5.03106i) q^{21} +(0.344856 - 5.89132i) q^{22} +(-0.248899 - 0.600896i) q^{23} +(1.65386 + 4.61137i) q^{24} +(-0.140954 + 0.340294i) q^{25} +(-1.78129 + 3.67658i) q^{26} +(-5.08432 - 1.07222i) q^{27} +(-0.757168 + 6.44534i) q^{28} +(-0.476649 - 2.39628i) q^{29} +(-4.49168 + 3.46912i) q^{30} -4.97417 q^{31} +(3.59818 + 4.36499i) q^{32} +(6.97422 + 1.89740i) q^{33} +(3.37682 - 4.46494i) q^{34} +(-7.37371 + 1.46672i) q^{35} +(-5.94362 + 0.820612i) q^{36} +(1.60025 + 2.39495i) q^{37} +(3.06585 - 6.32791i) q^{38} +(-3.95787 - 3.06114i) q^{39} +(-3.52596 + 5.52397i) q^{40} +(6.25255 - 2.58989i) q^{41} +(-7.53438 - 2.53114i) q^{42} +(9.47949 + 1.88559i) q^{43} +(8.31954 - 0.662050i) q^{44} +(-3.02645 - 6.25744i) q^{45} +(0.793351 - 0.465455i) q^{46} +(-5.26021 + 5.26021i) q^{47} +(-6.13810 + 3.21305i) q^{48} +(-2.49533 - 2.49533i) q^{49} +(-0.504079 - 0.131303i) q^{50} +(4.50085 + 5.17207i) q^{51} +(-5.49636 - 1.78059i) q^{52} +(-2.26887 + 11.4064i) q^{53} +(0.513692 - 7.33049i) q^{54} +(3.69998 + 8.93255i) q^{55} +(-9.17576 + 0.192175i) q^{56} +(6.81206 + 5.26866i) q^{57} +(3.26404 - 1.13346i) q^{58} +(8.56253 - 5.72130i) q^{59} +(-5.73258 - 5.61760i) q^{60} +(-2.21251 - 11.1230i) q^{61} +(-0.966852 - 6.96778i) q^{62} +(4.93169 - 8.39278i) q^{63} +(-5.41505 + 5.88874i) q^{64} -6.69323i q^{65} +(-1.30225 + 10.1382i) q^{66} +(-9.19028 + 1.82806i) q^{67} +(6.91082 + 3.86235i) q^{68} +(0.358024 + 1.06813i) q^{69} +(-3.48783 - 10.0439i) q^{70} +(9.64379 + 3.99459i) q^{71} +(-2.30479 - 8.16627i) q^{72} +(-10.4843 + 4.34273i) q^{73} +(-3.04377 + 2.70714i) q^{74} +(0.284356 - 0.571092i) q^{75} +(9.46001 + 3.06464i) q^{76} +(-7.52266 + 11.2585i) q^{77} +(3.51871 - 6.13916i) q^{78} +(4.55477 - 4.55477i) q^{79} +(-8.42329 - 3.86542i) q^{80} +(8.65662 + 2.46230i) q^{81} +(4.84324 + 8.25512i) q^{82} +(6.97801 - 10.4433i) q^{83} +(2.08111 - 11.0461i) q^{84} +(-1.78929 + 8.99536i) q^{85} +(-0.798746 + 13.6453i) q^{86} +(0.536283 + 4.19767i) q^{87} +(2.54450 + 11.5253i) q^{88} +(0.570461 + 0.236293i) q^{89} +(8.17711 - 5.45572i) q^{90} +(7.79390 - 5.20772i) q^{91} +(0.806213 + 1.02085i) q^{92} +(8.59485 + 0.596410i) q^{93} +(-8.39090 - 6.34600i) q^{94} +11.5200i q^{95} +(-5.69391 - 7.97367i) q^{96} -12.6274i q^{97} +(3.01041 - 3.98047i) q^{98} +(-11.8232 - 4.11473i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.194374	+	1.40079i	0.137443	+	0.990510i
$2$	0.194374	+	1.40079i	0.137443	+	0.990510i
$3$	−1.72790	−	0.119901i	−0.997601	−	0.0692251i
$3$	−1.72790	−	0.119901i	−0.997601	−	0.0692251i
$4$	−1.92444	+	0.544556i	−0.962219	+	0.272278i
$5$	−1.28724	−	1.92649i	−0.575670	−	0.861551i	0.423343	−	0.905969i	$-0.360857\pi$
$5$	−1.28724	−	1.92649i	−0.575670	−	0.861551i	−0.999013	+	0.0444184i	$0.985857\pi$
$6$	−0.167902	−	2.44373i	−0.0685456	−	0.997648i
$7$	1.24174	−	2.99783i	0.469335	−	1.13307i	−0.495119	−	0.868825i	$-0.664876\pi$
$7$	1.24174	−	2.99783i	0.469335	−	1.13307i	0.964454	−	0.264250i	$-0.0851243\pi$
$8$	−1.13687	−	2.58989i	−0.401945	−	0.915664i
$9$	2.97125	+	0.414354i	0.990416	+	0.138118i
$10$	2.44840	−	2.17761i	0.774253	−	0.688621i
$11$	−4.09274	−	0.814097i	−1.23401	−	0.245459i	−0.465354	−	0.885125i	$-0.654073\pi$
$11$	−4.09274	−	0.814097i	−1.23401	−	0.245459i	−0.768654	+	0.639665i	$0.779073\pi$
$12$	3.39052	−	0.710194i	0.978759	−	0.205015i
$13$	2.40194	+	1.60493i	0.666179	+	0.445126i	0.842132	−	0.539272i	$-0.181301\pi$
$13$	2.40194	+	1.60493i	0.666179	+	0.445126i	−0.175953	+	0.984399i	$0.556301\pi$
$14$	4.44071	+	1.15672i	1.18683	+	0.309147i
$15$	1.99322	+	3.48311i	0.514648	+	0.899335i
$16$	3.40692	−	2.09593i	0.851729	−	0.523982i
$17$	−2.79904	−	2.79904i	−0.678868	−	0.678868i	0.280876	−	0.959744i	$-0.409375\pi$
$17$	−2.79904	−	2.79904i	−0.678868	−	0.678868i	−0.959744	+	0.280876i	$0.909375\pi$
$18$	−0.00288996	+	4.24264i	−0.000681170	+	1.00000i
$19$	−4.13408	−	2.76230i	−0.948423	−	0.633716i	−0.0178573	−	0.999841i	$-0.505684\pi$
$19$	−4.13408	−	2.76230i	−0.948423	−	0.633716i	−0.930566	+	0.366124i	$0.880684\pi$
$20$	3.52629	+	3.00643i	0.788502	+	0.672258i
$21$	−2.50505	+	5.03106i	−0.546646	+	1.09787i
$22$	0.344856	−	5.89132i	0.0735236	−	1.25603i
$23$	−0.248899	−	0.600896i	−0.0518991	−	0.125296i	0.895803	−	0.444450i	$-0.146601\pi$
$23$	−0.248899	−	0.600896i	−0.0518991	−	0.125296i	−0.947703	+	0.319155i	$0.896601\pi$
$24$	1.65386	+	4.61137i	0.337594	+	0.941292i
$25$	−0.140954	+	0.340294i	−0.0281909	+	0.0680588i
$26$	−1.78129	+	3.67658i	−0.349340	+	0.721036i
$27$	−5.08432	−	1.07222i	−0.978479	−	0.206348i
$28$	−0.757168	+	6.44534i	−0.143091	+	1.21806i
$29$	−0.476649	−	2.39628i	−0.0885115	−	0.444977i	−0.999472	−	0.0324843i	$-0.989658\pi$
$29$	−0.476649	−	2.39628i	−0.0885115	−	0.444977i	0.910961	−	0.412493i	$-0.135342\pi$
$30$	−4.49168	+	3.46912i	−0.820065	+	0.633372i
$31$	−4.97417			−0.893388			−0.446694	−	0.894687i	$-0.647399\pi$
$31$	−4.97417			−0.893388			−0.446694	+	0.894687i	$0.647399\pi$
$32$	3.59818	+	4.36499i	0.636074	+	0.771628i
$33$	6.97422	+	1.89740i	1.21406	+	0.330295i
$34$	3.37682	−	4.46494i	0.579119	−	0.765731i
$35$	−7.37371	+	1.46672i	−1.24638	+	0.247921i
$36$	−5.94362	+	0.820612i	−0.990603	+	0.136769i
$37$	1.60025	+	2.39495i	0.263080	+	0.393727i	0.939368	−	0.342910i	$-0.111413\pi$
$37$	1.60025	+	2.39495i	0.263080	+	0.393727i	−0.676288	+	0.736637i	$0.736413\pi$
$38$	3.06585	−	6.32791i	0.497347	−	1.02652i
$39$	−3.95787	−	3.06114i	−0.633767	−	0.490175i
$40$	−3.52596	+	5.52397i	−0.557504	+	0.873416i
$41$	6.25255	−	2.58989i	0.976485	−	0.404473i	0.163363	−	0.986566i	$-0.447766\pi$
$41$	6.25255	−	2.58989i	0.976485	−	0.404473i	0.813122	+	0.582093i	$0.197766\pi$
$42$	−7.53438	−	2.53114i	−1.16258	−	0.390564i
$43$	9.47949	+	1.88559i	1.44561	+	0.287549i	0.854672	−	0.519169i	$-0.173758\pi$
$43$	9.47949	+	1.88559i	1.44561	+	0.287549i	0.590936	+	0.806718i	$0.298758\pi$
$44$	8.31954	−	0.662050i	1.25422	−	0.0998077i
$45$	−3.02645	−	6.25744i	−0.451157	−	0.932804i
$46$	0.793351	−	0.465455i	0.116973	−	0.0686276i
$47$	−5.26021	+	5.26021i	−0.767280	+	0.767280i	−0.977627	−	0.210347i	$-0.932541\pi$
$47$	−5.26021	+	5.26021i	−0.767280	+	0.767280i	0.210347	+	0.977627i	$0.432541\pi$
$48$	−6.13810	+	3.21305i	−0.885959	+	0.463764i
$49$	−2.49533	−	2.49533i	−0.356476	−	0.356476i
$50$	−0.504079	−	0.131303i	−0.0712875	−	0.0185691i
$51$	4.50085	+	5.17207i	0.630245	+	0.724234i
$52$	−5.49636	−	1.78059i	−0.762208	−	0.246923i
$53$	−2.26887	+	11.4064i	−0.311653	+	1.56678i	0.434289	+	0.900773i	$0.356999\pi$
$53$	−2.26887	+	11.4064i	−0.311653	+	1.56678i	−0.745942	+	0.666011i	$0.768001\pi$
$54$	0.513692	−	7.33049i	0.0699047	−	0.997554i
$55$	3.69998	+	8.93255i	0.498905	+	1.20446i
$56$	−9.17576	+	0.192175i	−1.22616	+	0.0256804i
$57$	6.81206	+	5.26866i	0.902279	+	0.697851i
$58$	3.26404	−	1.13346i	0.428589	−	0.148831i
$59$	8.56253	−	5.72130i	1.11475	−	0.744850i	0.145114	−	0.989415i	$-0.453645\pi$
$59$	8.56253	−	5.72130i	1.11475	−	0.744850i	0.969633	+	0.244565i	$0.0786452\pi$
$60$	−5.73258	−	5.61760i	−0.740073	−	0.725230i
$61$	−2.21251	−	11.1230i	−0.283283	−	1.42416i	−0.816091	−	0.577923i	$-0.803863\pi$
$61$	−2.21251	−	11.1230i	−0.283283	−	1.42416i	0.532808	−	0.846236i	$-0.321137\pi$
$62$	−0.966852	−	6.96778i	−0.122790	−	0.884909i
$63$	4.93169	−	8.39278i	0.621335	−	1.05739i
$64$	−5.41505	+	5.88874i	−0.676881	+	0.736093i
$65$		−	6.69323i		−	0.830193i
$66$	−1.30225	+	10.1382i	−0.160296	+	1.24793i
$67$	−9.19028	+	1.82806i	−1.12277	+	0.223333i	−0.721357	−	0.692563i	$-0.756481\pi$
$67$	−9.19028	+	1.82806i	−1.12277	+	0.223333i	−0.401414	+	0.915897i	$0.631481\pi$
$68$	6.91082	+	3.86235i	0.838060	+	0.468379i
$69$	0.358024	+	1.06813i	0.0431010	+	0.128588i
$70$	−3.48783	−	10.0439i	−0.416876	−	1.20048i
$71$	9.64379	+	3.99459i	1.14451	+	0.474070i	0.872688	−	0.488278i	$-0.162375\pi$
$71$	9.64379	+	3.99459i	1.14451	+	0.474070i	0.271819	+	0.962348i	$0.412375\pi$
$72$	−2.30479	−	8.16627i	−0.271623	−	0.962404i
$73$	−10.4843	+	4.34273i	−1.22709	+	0.508278i	−0.899658	−	0.436595i	$-0.856184\pi$
$73$	−10.4843	+	4.34273i	−1.22709	+	0.508278i	−0.327435	+	0.944874i	$0.606184\pi$
$74$	−3.04377	+	2.70714i	−0.353831	+	0.314698i
$75$	0.284356	−	0.571092i	0.0328346	−	0.0659440i
$76$	9.46001	+	3.06464i	1.08514	+	0.351538i
$77$	−7.52266	+	11.2585i	−0.857287	+	1.28302i
$78$	3.51871	−	6.13916i	0.398416	−	0.695123i
$79$	4.55477	−	4.55477i	0.512452	−	0.512452i	−0.402825	−	0.915277i	$-0.631972\pi$
$79$	4.55477	−	4.55477i	0.512452	−	0.512452i	0.915277	+	0.402825i	$0.131972\pi$
$80$	−8.42329	−	3.86542i	−0.941752	−	0.432167i
$81$	8.65662	+	2.46230i	0.961847	+	0.273589i
$82$	4.84324	+	8.25512i	0.534846	+	0.911625i
$83$	6.97801	−	10.4433i	0.765936	−	1.14630i	−0.219393	−	0.975637i	$-0.570408\pi$
$83$	6.97801	−	10.4433i	0.765936	−	1.14630i	0.985329	−	0.170667i	$-0.0545924\pi$
$84$	2.08111	−	11.0461i	0.227068	−	1.20523i
$85$	−1.78929	+	8.99536i	−0.194076	+	0.975684i
$86$	−0.798746	+	13.6453i	−0.0861310	+	1.47141i
$87$	0.536283	+	4.19767i	0.0574955	+	0.450037i
$88$	2.54450	+	11.5253i	0.271245	+	1.22860i
$89$	0.570461	+	0.236293i	0.0604687	+	0.0250470i	0.412713	−	0.910861i	$-0.364581\pi$
$89$	0.570461	+	0.236293i	0.0604687	+	0.0250470i	−0.352244	+	0.935908i	$0.614581\pi$
$90$	8.17711	−	5.45572i	0.861943	−	0.575083i
$91$	7.79390	−	5.20772i	0.817022	−	0.545917i
$92$	0.806213	+	1.02085i	0.0840535	+	0.106431i
$93$	8.59485	+	0.596410i	0.891244	+	0.0618449i
$94$	−8.39090	−	6.34600i	−0.865456	−	0.654540i
$95$			11.5200i			1.18193i
$96$	−5.69391	−	7.97367i	−0.581132	−	0.813809i
$97$		−	12.6274i		−	1.28211i	−0.767493	−	0.641057i	$-0.778496\pi$
$97$		−	12.6274i		−	1.28211i	0.767493	−	0.641057i	$-0.221504\pi$
$98$	3.01041	−	3.98047i	0.304098	−	0.402088i
$99$	−11.8232	−	4.11473i	−1.18828	−	0.413546i
$100$	0.0859486	−	0.731632i	0.00859486	−	0.0731632i
$101$	11.8378	−	7.90978i	1.17791	−	0.787052i	0.196786	−	0.980447i	$-0.436950\pi$
$101$	11.8378	−	7.90978i	1.17791	−	0.787052i	0.981121	+	0.193394i	$0.0619497\pi$
$102$	−6.37014	+	7.31007i	−0.630738	+	0.723805i
$103$	13.5660	+	5.61922i	1.33670	+	0.553678i	0.932558	−	0.361019i	$-0.117571\pi$
$103$	13.5660	+	5.61922i	1.33670	+	0.553678i	0.404139	+	0.914697i	$0.367571\pi$
$104$	1.42588	−	8.04536i	0.139819	−	0.788912i
$105$	12.9169	−	1.65022i	1.26056	−	0.161045i
$106$	−16.4189	−	0.961105i	−1.59475	−	0.0933508i
$107$	1.81393	−	9.11925i	0.175359	−	0.881592i	−0.788470	−	0.615073i	$-0.789127\pi$
$107$	1.81393	−	9.11925i	0.175359	−	0.881592i	0.963830	−	0.266519i	$-0.0858734\pi$
$108$	10.3683	−	0.705284i	0.997694	−	0.0678660i
$109$	3.14146	−	4.70153i	0.300898	−	0.450325i	−0.649953	−	0.759974i	$-0.725212\pi$
$109$	3.14146	−	4.70153i	0.300898	−	0.450325i	0.950851	+	0.309649i	$0.100212\pi$
$110$	−11.7935	+	6.91916i	−1.12446	+	0.659716i
$111$	−2.47791	−	4.33009i	−0.235193	−	0.410994i
$112$	−2.05273	−	12.8160i	−0.193965	−	1.21100i
$113$	−4.32949	+	4.32949i	−0.407284	+	0.407284i	−0.880790	−	0.473507i	$-0.842988\pi$
$113$	−4.32949	+	4.32949i	−0.407284	+	0.407284i	0.473507	+	0.880790i	$0.342988\pi$
$114$	−6.05620	+	10.5664i	−0.567215	+	0.989631i
$115$	−0.837226	+	1.25300i	−0.0780718	+	0.116843i
$116$	2.22219	+	4.35192i	0.206325	+	0.404066i
$117$	6.47175	+	5.76389i	0.598314	+	0.532872i
$118$	9.67869	+	10.8823i	0.890996	+	1.00179i
$119$	−11.8668	+	4.91538i	−1.08782	+	0.450592i
$120$	6.75483	−	9.12208i	0.616629	−	0.832728i
$121$	5.92509	+	2.45425i	0.538645	+	0.223114i
$122$	15.1510	−	5.26130i	1.37171	−	0.476336i
$123$	−11.1143	+	3.72537i	−1.00214	+	0.335906i
$124$	9.57248	−	2.70872i	0.859634	−	0.243250i
$125$	−10.5252	+	2.09360i	−0.941404	+	0.187257i
$126$	12.7151	+	5.27693i	1.13275	+	0.470107i
$127$		−	2.55349i		−	0.226586i	−0.993562	−	0.113293i	$-0.963860\pi$
$127$		−	2.55349i		−	0.226586i	0.993562	−	0.113293i	$-0.0361398\pi$
$128$	−9.30145	−	6.44073i	−0.822140	−	0.569286i
$129$	−16.1535	−	4.39470i	−1.42223	−	0.386932i
$130$	9.37582	−	1.30099i	0.822314	−	0.114105i
$131$	−1.76291	−	8.86276i	−0.154026	−	0.774343i	−0.978145	−	0.207925i	$-0.933329\pi$
$131$	−1.76291	−	8.86276i	−0.154026	−	0.774343i	0.824118	−	0.566418i	$-0.191671\pi$
$132$	−14.4547	+	0.146427i	−1.25812	+	0.0127449i
$133$	−13.4144	+	8.96321i	−1.16318	+	0.777209i
$134$	−4.34709	−	12.5183i	−0.375531	−	1.08142i
$135$	4.47912	+	11.1751i	0.385501	+	0.961798i
$136$	−4.06706	+	10.4314i	−0.348748	+	0.894482i
$137$	−4.73134	−	11.4225i	−0.404226	−	0.975887i	−0.986628	−	0.162987i	$-0.947887\pi$
$137$	−4.73134	−	11.4225i	−0.404226	−	0.975887i	0.582402	−	0.812901i	$-0.302113\pi$
$138$	−1.42664	+	0.709134i	−0.121443	+	0.0603655i
$139$	0.852191	−	4.28426i	0.0722819	−	0.363386i	−0.927668	−	0.373406i	$-0.878190\pi$
$139$	0.852191	−	4.28426i	0.0722819	−	0.363386i	0.999950	+	0.0100206i	$0.00318971\pi$
$140$	13.3915	−	6.83801i	1.13179	−	0.577917i
$141$	9.71979	−	8.45838i	0.818554	−	0.712324i
$142$	−3.72108	+	14.2854i	−0.312266	+	1.19880i
$143$	−8.52396	−	8.52396i	−0.712809	−	0.712809i
$144$	10.9912	−	4.81585i	0.915937	−	0.401321i
$145$	−4.00283	+	4.00283i	−0.332417	+	0.332417i
$146$	−8.12114	−	13.8422i	−0.672111	−	1.14559i
$147$	4.01248	+	4.61087i	0.330944	+	0.380298i
$148$	−4.38377	−	3.73750i	−0.360343	−	0.307220i
$149$	−5.16810	−	1.02800i	−0.423387	−	0.0842170i	−0.0212019	−	0.999775i	$-0.506749\pi$
$149$	−5.16810	−	1.02800i	−0.423387	−	0.0842170i	−0.402185	+	0.915558i	$0.631749\pi$
$150$	0.855252	+	0.287318i	0.0698311	+	0.0234594i
$151$	−2.25770	+	0.935171i	−0.183729	+	0.0761032i	−0.472652	−	0.881249i	$-0.656703\pi$
$151$	−2.25770	+	0.935171i	−0.183729	+	0.0761032i	0.288922	+	0.957353i	$0.406703\pi$
$152$	−2.45414	+	13.8472i	−0.199057	+	1.12316i
$153$	−7.15686	−	9.47645i	−0.578598	−	0.766126i
$154$	−17.2330	−	8.34933i	−1.38867	−	0.672808i
$155$	6.40294	+	9.58268i	0.514296	+	0.769699i
$156$	9.28364	+	3.73569i	0.743286	+	0.299095i
$157$	−4.50902	+	0.896900i	−0.359859	+	0.0715804i	−0.371709	−	0.928349i	$-0.621228\pi$
$157$	−4.50902	+	0.896900i	−0.359859	+	0.0715804i	0.0118498	+	0.999930i	$0.496228\pi$
$158$	7.26562	+	5.49496i	0.578022	+	0.437155i
$159$	5.28800	−	19.4370i	0.419366	−	1.54145i
$160$	3.77738	−	12.5506i	0.298628	−	0.992213i
$161$	−2.11046			−0.166327
$162$	−1.76654	+	12.6047i	−0.138793	+	0.990321i
$163$	3.72684	+	18.7361i	0.291909	+	1.46752i	0.796749	+	0.604311i	$0.206551\pi$
$163$	3.72684	+	18.7361i	0.291909	+	1.46752i	−0.504840	+	0.863213i	$0.668449\pi$
$164$	−10.6223	+	8.38895i	−0.829463	+	0.655067i
$165$	−5.32216	−	15.8781i	−0.414329	−	1.23611i
$166$	15.9853	+	7.74482i	1.24070	+	0.601115i
$167$	−2.91186	+	7.02984i	−0.225326	+	0.543986i	−0.995598	−	0.0937307i	$-0.970121\pi$
$167$	−2.91186	+	7.02984i	−0.225326	+	0.543986i	0.770271	+	0.637716i	$0.220121\pi$
$168$	15.8778	+	0.768129i	1.22500	+	0.0592624i
$169$	−1.78135	−	4.30056i	−0.137027	−	0.330812i
$170$	−12.9484	−	0.757953i	−0.993098	−	0.0581323i
$171$	−11.1388	−	9.92046i	−0.851806	−	0.758637i
$172$	−19.2695	+	1.53342i	−1.46928	+	0.116922i
$173$	18.6434	+	12.4571i	1.41743	+	0.947097i	0.999250	+	0.0387328i	$0.0123321\pi$
$173$	18.6434	+	12.4571i	1.41743	+	0.947097i	0.418181	+	0.908364i	$0.362668\pi$
$174$	−5.77582	+	1.56714i	−0.437864	+	0.118805i
$175$	0.845115	+	0.845115i	0.0638847	+	0.0638847i
$176$	−15.6499	+	5.80453i	−1.17966	+	0.437533i
$177$	−15.4812	+	8.85915i	−1.16363	+	0.665894i
$178$	−0.220114	+	0.845027i	−0.0164982	+	0.0633374i
$179$	10.4696	+	6.99557i	0.782536	+	0.522874i	0.881481	−	0.472219i	$-0.156547\pi$
$179$	10.4696	+	6.99557i	0.782536	+	0.522874i	−0.0989453	+	0.995093i	$0.531547\pi$
$180$	9.23175	+	10.3940i	0.688094	+	0.774721i
$181$	−5.02319	−	0.999175i	−0.373371	−	0.0742681i	0.00483824	−	0.999988i	$-0.498460\pi$
$181$	−5.02319	−	0.999175i	−0.373371	−	0.0742681i	−0.378209	+	0.925720i	$0.623460\pi$
$182$	8.80986	+	9.90538i	0.653030	+	0.734236i
$183$	2.48932	+	19.4847i	0.184016	+	1.44035i
$184$	−1.27329	+	1.32776i	−0.0938680	+	0.0978840i
$185$	2.55393	−	6.16573i	0.187768	−	0.453313i
$186$	0.835172	+	12.1555i	0.0612378	+	0.891286i
$187$	9.17707	+	13.7345i	0.671094	+	1.00436i
$188$	7.25846	−	12.9874i	0.529377	−	0.947204i
$189$	−9.52776	+	13.9105i	−0.693042	+	1.01184i
$190$	−16.1371	+	2.23919i	−1.17071	+	0.162448i
$191$	5.06189			0.366266			0.183133	−	0.983088i	$-0.441376\pi$
$191$	5.06189			0.366266			0.183133	+	0.983088i	$0.441376\pi$
$192$	10.0627	−	9.52586i	0.726213	−	0.687470i
$193$	−12.0275			−0.865758			−0.432879	−	0.901452i	$-0.642502\pi$
$193$	−12.0275			−0.865758			−0.432879	+	0.901452i	$0.642502\pi$
$194$	17.6883	−	2.45444i	1.26995	−	0.176218i
$195$	−0.802528	+	11.5652i	−0.0574702	+	0.828201i
$196$	6.16096	+	3.44326i	0.440069	+	0.245947i
$197$	2.61543	+	3.91427i	0.186342	+	0.278880i	0.912865	−	0.408262i	$-0.133865\pi$
$197$	2.61543	+	3.91427i	0.186342	+	0.278880i	−0.726523	+	0.687142i	$0.758865\pi$
$198$	3.46575	−	17.3617i	0.246300	−	1.23384i
$199$	0.358976	−	0.866645i	0.0254472	−	0.0614349i	−0.910645	−	0.413189i	$-0.864415\pi$
$199$	0.358976	−	0.866645i	0.0254472	−	0.0614349i	0.936092	+	0.351754i	$0.114415\pi$
$200$	1.04157	−	0.0218144i	0.0736501	−	0.00154251i
$201$	16.0990	−	2.05677i	1.13554	−	0.145073i
$202$	13.3809	+	15.0449i	0.941478	+	1.05855i
$203$	−7.77551	−	1.54665i	−0.545734	−	0.108553i
$204$	−11.4781	−	7.50235i	−0.803626	−	0.525270i
$205$	−13.0379	−	8.71166i	−0.910607	−	0.608448i
$206$	−5.23448	+	20.0954i	−0.364703	+	1.40011i
$207$	−0.490558	−	1.88854i	−0.0340961	−	0.131263i
$208$	11.5470	+	0.433551i	0.800642	+	0.0300614i
$209$	14.6709	+	14.6709i	1.01481	+	1.01481i
$210$	4.82233	+	17.7731i	0.332772	+	1.22646i
$211$	−14.2301	−	9.50828i	−0.979643	−	0.654577i	−0.0408890	−	0.999164i	$-0.513019\pi$
$211$	−14.2301	−	9.50828i	−0.979643	−	0.654577i	−0.938754	+	0.344587i	$0.888019\pi$
$212$	−1.84512	−	23.1863i	−0.126723	−	1.59244i
$213$	−16.1845	−	8.05854i	−1.10894	−	0.552162i
$214$	13.1268	+	0.768392i	0.897327	+	0.0525262i
$215$	−8.56979	−	20.6893i	−0.584455	−	1.41100i
$216$	3.00330	+	14.3868i	0.204349	+	0.978898i
$217$	−6.17664	+	14.9117i	−0.419298	+	1.01227i
$218$	7.19649	+	3.48668i	0.487408	+	0.236148i
$219$	18.6365	−	6.24671i	1.25933	−	0.422113i
$220$	−11.9847	−	15.1753i	−0.808005	−	1.02312i
$221$	−2.23088	−	11.2154i	−0.150065	−	0.754430i
$222$	5.58391	−	4.31270i	0.374768	−	0.289449i
$223$	9.22739			0.617912			0.308956	−	0.951076i	$-0.400020\pi$
$223$	9.22739			0.617912			0.308956	+	0.951076i	$0.400020\pi$
$224$	17.5535	−	5.36655i	1.17284	−	0.358567i
$225$	−0.559812	+	0.952692i	−0.0373208	+	0.0635128i
$226$	−6.90625	−	5.22317i	−0.459397	−	0.347440i
$227$	5.86667	−	1.16695i	0.389385	−	0.0774535i	0.00348449	−	0.999994i	$-0.498891\pi$
$227$	5.86667	−	1.16695i	0.389385	−	0.0774535i	0.385900	+	0.922540i	$0.373891\pi$
$228$	−15.9785	−	6.42965i	−1.05820	−	0.425814i
$229$	1.13664	+	1.70110i	0.0751111	+	0.112412i	0.867123	−	0.498094i	$-0.165966\pi$
$229$	1.13664	+	1.70110i	0.0751111	+	0.112412i	−0.792012	+	0.610505i	$0.790966\pi$
$230$	−1.91792	−	0.929229i	−0.126464	−	0.0612716i
$231$	14.3483	−	18.5515i	0.944047	−	1.22060i
$232$	−5.66420	+	3.95873i	−0.371873	+	0.259903i
$233$	−10.7241	+	4.44205i	−0.702557	+	0.291009i	−0.705221	−	0.708988i	$-0.749152\pi$
$233$	−10.7241	+	4.44205i	−0.702557	+	0.291009i	0.00266388	+	0.999996i	$0.499152\pi$
$234$	−6.81607	+	10.1859i	−0.445580	+	0.665875i
$235$	16.9048	+	3.36258i	1.10275	+	0.219351i
$236$	−13.3625	+	15.6731i	−0.869823	+	1.02023i
$237$	−8.41629	+	7.32405i	−0.546697	+	0.475748i
$238$	−9.19202	−	15.6675i	−0.595830	−	1.01557i
$239$	−8.89250	+	8.89250i	−0.575208	+	0.575208i	−0.933579	−	0.358371i	$-0.883332\pi$
$239$	−8.89250	+	8.89250i	−0.575208	+	0.575208i	0.358371	+	0.933579i	$0.383332\pi$
$240$	14.0911	+	7.68901i	0.909576	+	0.496324i
$241$	−2.30589	−	2.30589i	−0.148535	−	0.148535i	0.628928	−	0.777464i	$-0.283494\pi$
$241$	−2.30589	−	2.30589i	−0.148535	−	0.148535i	−0.777464	+	0.628928i	$0.783494\pi$
$242$	−2.28621	+	8.77687i	−0.146963	+	0.564199i
$243$	−14.6625	−	5.29254i	−0.940600	−	0.339516i
$244$	10.3150	+	20.2008i	0.660348	+	1.29322i
$245$	−1.59514	+	8.01931i	−0.101910	+	0.512335i
$246$	−7.37881	−	14.8447i	−0.470456	−	0.946463i
$247$	−5.49653	−	13.2698i	−0.349736	−	0.844336i
$248$	5.65499	+	12.8825i	0.359092	+	0.818043i
$249$	−13.3094	+	17.2083i	−0.843451	+	1.09053i
$250$	−4.97853	−	14.3367i	−0.314870	−	0.906733i
$251$	−0.592935	+	0.396186i	−0.0374257	+	0.0250071i	−0.574142	−	0.818755i	$-0.694664\pi$
$251$	−0.592935	+	0.396186i	−0.0374257	+	0.0250071i	0.536717	+	0.843763i	$0.319664\pi$
$252$	−4.92039	+	18.8370i	−0.309955	+	1.18662i
$253$	0.529493	+	2.66194i	0.0332889	+	0.167355i
$254$	3.57691	−	0.496333i	0.224435	−	0.0311427i
$255$	4.17026	−	15.3285i	0.261152	−	0.959908i
$256$	7.21416	−	14.2813i	0.450885	−	0.892582i
$257$		−	21.7354i		−	1.35582i	−0.735145	−	0.677910i	$-0.762886\pi$
$257$		−	21.7354i		−	1.35582i	0.735145	−	0.677910i	$-0.237114\pi$
$258$	3.01624	−	23.4819i	0.187783	−	1.46192i
$259$	9.16675	−	1.82338i	0.569594	−	0.113299i
$260$	3.64484	+	12.8807i	0.226043	+	0.798827i
$261$	−0.423334	−	7.31743i	−0.0262037	−	0.452938i
$262$	12.0722	−	4.19217i	0.745824	−	0.258993i
$263$	23.0110	+	9.53145i	1.41892	+	0.587735i	0.954588	−	0.297928i	$-0.0962957\pi$
$263$	23.0110	+	9.53145i	1.41892	+	0.587735i	0.464329	+	0.885663i	$0.346296\pi$
$264$	−3.01474	−	20.2195i	−0.185544	−	1.24443i
$265$	24.8948	−	10.3118i	1.52927	−	0.633446i
$266$	−15.1630	−	17.0486i	−0.929704	−	1.04531i
$267$	−0.957365	−	0.476688i	−0.0585898	−	0.0291728i
$268$	16.6906	−	8.52261i	1.01954	−	0.520601i
$269$	5.41480	−	8.10382i	0.330146	−	0.494099i	−0.628847	−	0.777529i	$-0.716473\pi$
$269$	5.41480	−	8.10382i	0.330146	−	0.494099i	0.958993	+	0.283431i	$0.0914726\pi$
$270$	−14.7833	+	8.44646i	−0.899685	+	0.514035i
$271$	−4.56131	+	4.56131i	−0.277080	+	0.277080i	−0.831942	−	0.554862i	$-0.812771\pi$
$271$	−4.56131	+	4.56131i	−0.277080	+	0.277080i	0.554862	+	0.831942i	$0.312771\pi$
$272$	−15.4027	−	3.66951i	−0.933927	−	0.222497i
$273$	−14.0915	+	8.06389i	−0.852854	+	0.488049i
$274$	15.0809	−	8.84786i	0.911068	−	0.534519i
$275$	0.853922	−	1.27798i	0.0514934	−	0.0770653i
$276$	−1.27065	−	1.86058i	−0.0764842	−	0.111994i
$277$	1.08494	−	5.45434i	0.0651875	−	0.327720i	−0.934407	−	0.356208i	$-0.884069\pi$
$277$	1.08494	−	5.45434i	0.0651875	−	0.327720i	0.999594	+	0.0284885i	$0.00906941\pi$
$278$	6.16700	+	0.360993i	0.369872	+	0.0216509i
$279$	−14.7795	−	2.06107i	−0.884825	−	0.123393i
$280$	12.1816	+	17.4296i	0.727990	+	1.04162i
$281$	−12.8781	−	5.33430i	−0.768245	−	0.318218i	−0.0360837	−	0.999349i	$-0.511488\pi$
$281$	−12.8781	−	5.33430i	−0.768245	−	0.318218i	−0.732161	+	0.681131i	$0.761488\pi$
$282$	13.7377	+	11.9713i	0.818069	+	0.712881i
$283$	0.599348	−	0.400472i	0.0356275	−	0.0238056i	−0.537629	−	0.843182i	$-0.680680\pi$
$283$	0.599348	−	0.400472i	0.0356275	−	0.0238056i	0.573256	+	0.819376i	$0.305680\pi$
$284$	−20.7341	−	2.43575i	−1.23035	−	0.144535i
$285$	1.38126	−	19.9053i	0.0818190	−	1.17909i
$286$	10.2835	−	13.5971i	0.608073	−	0.804015i
$287$		−	21.9601i		−	1.29626i
$288$	8.88242	+	14.4604i	0.523402	+	0.852086i
$289$		−	1.33070i		−	0.0782763i
$290$	−6.38519	−	4.82909i	−0.374951	−	0.283574i
$291$	−1.51404	+	21.8188i	−0.0887546	+	1.27904i
$292$	17.8115	−	14.0666i	1.04234	−	0.823186i
$293$	6.76616	−	4.52100i	0.395283	−	0.264120i	−0.342005	−	0.939698i	$-0.611106\pi$
$293$	6.76616	−	4.52100i	0.395283	−	0.264120i	0.737288	+	0.675578i	$0.236106\pi$
$294$	−5.67895	+	6.51689i	−0.331203	+	0.380073i
$295$	−22.0440	−	9.13093i	−1.28345	−	0.531623i
$296$	4.38336	−	6.86722i	0.254778	−	0.399149i
$297$	19.9359	+	8.52744i	1.15680	+	0.494812i
$298$	0.435467	−	7.43925i	0.0252259	−	0.430944i
$299$	0.366552	−	1.84278i	0.0211983	−	0.106571i
$300$	−0.236234	+	1.25388i	−0.0136390	+	0.0723927i
$301$	17.4238	−	26.0765i	1.00429	−	1.50302i
$302$	−1.74882	−	2.98080i	−0.100633	−	0.171526i
$303$	−21.4029	+	12.2479i	−1.22956	+	0.703623i
$304$	−19.8741	−	0.746203i	−1.13986	−	0.0427977i
$305$	−18.5804	+	18.5804i	−1.06391	+	1.06391i
$306$	11.8834	−	11.8672i	0.679330	−	0.678405i
$307$	3.67488	−	5.49985i	0.209737	−	0.313893i	−0.711654	−	0.702530i	$-0.752054\pi$
$307$	3.67488	−	5.49985i	0.209737	−	0.313893i	0.921391	+	0.388636i	$0.127054\pi$
$308$	8.34602	−	25.7627i	0.475559	−	1.46797i
$309$	−22.7669	−	11.3360i	−1.29516	−	0.644883i
$310$	−12.1788	+	10.8318i	−0.691708	+	0.615206i
$311$	−4.29715	+	1.77994i	−0.243669	+	0.100931i	−0.501176	−	0.865345i	$-0.667099\pi$
$311$	−4.29715	+	1.77994i	−0.243669	+	0.100931i	0.257507	+	0.966277i	$0.417099\pi$
$312$	−3.42842	+	13.7306i	−0.194096	+	0.777341i
$313$	7.51756	+	3.11388i	0.424918	+	0.176007i	0.584886	−	0.811115i	$-0.301139\pi$
$313$	7.51756	+	3.11388i	0.424918	+	0.176007i	−0.159968	+	0.987122i	$0.551139\pi$
$314$	−2.13281	−	6.14187i	−0.120361	−	0.346606i
$315$	−22.5168	+	1.30266i	−1.26868	+	0.0733968i
$316$	−6.28504	+	11.2457i	−0.353561	+	0.632620i
$317$	32.3860	−	6.44197i	1.81898	−	0.361817i	0.836466	−	0.548019i	$-0.184618\pi$
$317$	32.3860	−	6.44197i	1.81898	−	0.361817i	0.982511	+	0.186202i	$0.0596180\pi$
$318$	28.2550	+	3.62935i	1.58446	+	0.203524i
$319$			10.1954i			0.570831i
$320$	18.3150	+	2.85181i	1.02384	+	0.159421i
$321$	−4.22770	+	15.5396i	−0.235967	+	0.867337i
$322$	−0.410219	−	2.95631i	−0.0228606	−	0.164749i
$323$	3.83966	+	19.3033i	0.213645	+	1.07406i
$324$	−18.0000	−	0.0245221i	−0.999999	−	0.00136234i
$325$	−0.884711	+	0.591145i	−0.0490749	+	0.0327908i
$326$	−25.5210	+	8.86234i	−1.41347	+	0.490840i
$327$	−5.99184	+	7.74709i	−0.331349	+	0.428415i
$328$	−13.8159	−	13.2490i	−0.762855	−	0.731556i
$329$	9.23740	+	22.3010i	0.509274	+	1.22950i
$330$	21.2075	−	10.5415i	1.16743	−	0.580293i
$331$	−2.23020	+	11.2120i	−0.122583	+	0.616266i	0.869834	+	0.493345i	$0.164226\pi$
$331$	−2.23020	+	11.2120i	−0.122583	+	0.616266i	−0.992417	+	0.122921i	$0.960774\pi$
$332$	−7.74176	+	23.8974i	−0.424884	+	1.31154i
$333$	3.76239	+	7.77905i	0.206178	+	0.426289i
$334$	−10.4133	−	2.71248i	−0.569793	−	0.148421i
$335$	15.3518	+	15.3518i	0.838759	+	0.838759i
$336$	2.01025	+	22.3908i	0.109668	+	1.22152i
$337$	11.5995	−	11.5995i	0.631863	−	0.631863i	−0.316672	−	0.948535i	$-0.602565\pi$
$337$	11.5995	−	11.5995i	0.631863	−	0.631863i	0.948535	+	0.316672i	$0.102565\pi$
$338$	5.67794	−	3.33122i	0.308839	−	0.181194i
$339$	8.00001	−	6.96179i	0.434501	−	0.378112i
$340$	−1.45511	−	18.2854i	−0.0789142	−	0.991663i
$341$	20.3580	+	4.04946i	1.10245	+	0.219290i
$342$	11.7314	−	17.5314i	0.634362	−	0.947991i
$343$	10.4057	−	4.31017i	0.561854	−	0.232727i
$344$	−5.89350	−	26.6945i	−0.317756	−	1.43927i
$345$	1.59688	−	2.06466i	0.0859729	−	0.111158i
$346$	−13.8260	+	28.5369i	−0.743292	+	1.53415i
$347$	12.0418	+	18.0219i	0.646440	+	0.967466i	0.999492	+	0.0318623i	$0.0101438\pi$
$347$	12.0418	+	18.0219i	0.646440	+	0.967466i	−0.353052	+	0.935604i	$0.614856\pi$
$348$	−3.31791	−	7.78611i	−0.177859	−	0.417379i
$349$	−4.54281	+	0.903622i	−0.243171	+	0.0483698i	−0.315171	−	0.949035i	$-0.602062\pi$
$349$	−4.54281	+	0.903622i	−0.243171	+	0.0483698i	0.0719999	+	0.997405i	$0.477062\pi$
$350$	−1.01956	+	1.34810i	−0.0544979	+	0.0720590i
$351$	−10.4914	−	10.7354i	−0.559991	−	0.573012i
$352$	−11.1729	−	20.7940i	−0.595517	−	1.10833i
$353$	−21.5167			−1.14522			−0.572608	−	0.819829i	$-0.694068\pi$
$353$	−21.5167			−1.14522			−0.572608	+	0.819829i	$0.694068\pi$
$354$	−15.4190	−	19.9639i	−0.819509	−	1.06107i
$355$	−4.71832	−	23.7206i	−0.250423	−	1.25896i
$356$	−1.22649	−	0.144082i	−0.0650039	−	0.00763635i
$357$	21.0939	−	7.07041i	1.11641	−	0.374206i
$358$	−7.76432	+	16.0255i	−0.410357	+	0.846975i
$359$	−2.14876	+	5.18756i	−0.113407	+	0.273789i	−0.970385	−	0.241565i	$-0.922339\pi$
$359$	−2.14876	+	5.18756i	−0.113407	+	0.273789i	0.856978	+	0.515354i	$0.172339\pi$
$360$	−12.7654	+	14.9521i	−0.672795	+	0.788044i
$361$	2.18931	+	5.28547i	0.115227	+	0.278183i
$362$	0.423256	−	7.23066i	0.0222459	−	0.380035i
$363$	−9.94368	−	4.95112i	−0.521908	−	0.259867i
$364$	−12.1630	+	14.2661i	−0.637513	+	0.747749i
$365$	21.8620	+	14.6077i	1.14431	+	0.764602i
$366$	−26.8102	+	7.27435i	−1.40139	+	0.380236i
$367$	−4.28731	−	4.28731i	−0.223796	−	0.223796i	0.586299	−	0.810095i	$-0.300584\pi$
$367$	−4.28731	−	4.28731i	−0.223796	−	0.223796i	−0.810095	+	0.586299i	$0.800584\pi$
$368$	−2.10742	−	1.52553i	−0.109857	−	0.0795237i
$369$	19.6510	−	5.10444i	1.02299	−	0.265726i
$370$	9.13332	+	2.37906i	0.474819	+	0.123682i
$371$	31.3770	+	20.9655i	1.62901	+	1.08847i
$372$	−16.8650	+	3.53263i	−0.874411	+	0.183158i
$373$	28.9697	+	5.76243i	1.49999	+	0.298367i	0.875713	−	0.482832i	$-0.160392\pi$
$373$	28.9697	+	5.76243i	1.49999	+	0.298367i	0.624281	+	0.781199i	$0.285392\pi$
$374$	−17.4553	+	15.5248i	−0.902594	+	0.802768i
$375$	18.4375	−	2.35553i	0.952109	−	0.121639i
$376$	19.6035	+	7.64317i	1.01097	+	0.394166i
$377$	2.70096	−	6.52070i	0.139107	−	0.335833i
$378$	−21.3377	−	10.6426i	−1.09749	−	0.547394i
$379$	−8.10951	−	12.1367i	−0.416557	−	0.623422i	0.562551	−	0.826763i	$-0.309820\pi$
$379$	−8.10951	−	12.1367i	−0.416557	−	0.623422i	−0.979108	+	0.203341i	$0.934820\pi$
$380$	−6.27329	−	22.1695i	−0.321813	−	1.13727i
$381$	−0.306167	+	4.41216i	−0.0156854	+	0.226042i
$382$	0.983902	+	7.09066i	0.0503408	+	0.362790i
$383$	−27.7233			−1.41660			−0.708298	−	0.705913i	$-0.750537\pi$
$383$	−27.7233			−1.41660			−0.708298	+	0.705913i	$0.750537\pi$
$384$	15.2997	+	12.2442i	0.780759	+	0.624833i
$385$	31.3727			1.59890
$386$	−2.33784	−	16.8480i	−0.118993	−	0.857542i
$387$	27.3846	+	9.53041i	1.39204	+	0.484458i
$388$	6.87631	+	24.3006i	0.349092	+	1.23367i
$389$	4.41601	+	6.60903i	0.223901	+	0.335091i	0.926364	−	0.376628i	$-0.122917\pi$
$389$	4.41601	+	6.60903i	0.223901	+	0.335091i	−0.702464	+	0.711720i	$0.747917\pi$
$390$	−16.3564	+	1.12380i	−0.828240	+	0.0569061i
$391$	−0.985255	+	2.37862i	−0.0498265	+	0.120292i
$392$	−3.62576	+	9.29951i	−0.183129	+	0.469696i
$393$	1.98347	+	15.5253i	0.100053	+	0.783148i
$394$	−4.97470	+	4.42451i	−0.250622	+	0.222904i
$395$	−14.6378	−	2.91164i	−0.736507	−	0.146500i
$396$	24.9937	+	1.48013i	1.25598	+	0.0743791i
$397$	0.809449	+	0.540857i	0.0406251	+	0.0271448i	0.575717	−	0.817649i	$-0.304723\pi$
$397$	0.809449	+	0.540857i	0.0406251	+	0.0271448i	−0.535092	+	0.844794i	$0.679723\pi$
$398$	1.28377	+	0.334397i	0.0643494	+	0.0167618i
$399$	24.2534	−	13.8791i	1.21419	−	0.694824i
$400$	0.233012	+	1.45478i	0.0116506	+	0.0727392i
$401$	4.07015	+	4.07015i	0.203254	+	0.203254i	0.801392	−	0.598139i	$-0.204093\pi$
$401$	4.07015	+	4.07015i	0.203254	+	0.203254i	−0.598139	+	0.801392i	$0.704093\pi$
$402$	6.01035	+	22.1516i	0.299769	+	1.10482i
$403$	−11.9477	−	7.98318i	−0.595156	−	0.397670i
$404$	−18.4738	+	21.6682i	−0.919107	+	1.07803i
$405$	−6.39954	−	19.8464i	−0.317996	−	0.986177i
$406$	0.655168	−	11.1925i	0.0325155	−	0.555475i
$407$	−4.59970	−	11.1046i	−0.227998	−	0.550437i
$408$	8.27819	−	17.5367i	0.409832	−	0.868195i
$409$	−6.29950	+	15.2083i	−0.311490	+	0.752004i	0.688160	+	0.725559i	$0.258419\pi$
$409$	−6.29950	+	15.2083i	−0.311490	+	0.752004i	−0.999650	+	0.0264449i	$0.991581\pi$
$410$	9.66898	−	19.9567i	0.477517	−	0.985593i
$411$	6.80569	+	20.3041i	0.335700	+	1.00153i
$412$	−29.1669	−	3.42639i	−1.43695	−	0.168806i
$413$	−6.51904	−	32.7734i	−0.320781	−	1.61268i
$414$	2.55011	−	1.05425i	0.125331	−	0.0518138i
$415$	−29.1013			−1.42853
$416$	1.63713	+	16.2593i	0.0802670	+	0.797176i
$417$	−1.98619	+	7.30057i	−0.0972640	+	0.357510i
$418$	−17.6993	+	23.4026i	−0.865700	+	1.14466i
$419$	−11.8338	+	2.35388i	−0.578118	+	0.114995i	−0.475484	−	0.879724i	$-0.657727\pi$
$419$	−11.8338	+	2.35388i	−0.578118	+	0.114995i	−0.102634	+	0.994719i	$0.532727\pi$
$420$	−23.9590	+	10.2097i	−1.16908	+	0.498183i
$421$	18.2829	+	27.3623i	0.891056	+	1.33356i	0.942264	+	0.334871i	$0.108693\pi$
$421$	18.2829	+	27.3623i	0.891056	+	1.33356i	−0.0512081	+	0.998688i	$0.516307\pi$
$422$	10.5531	−	21.7816i	0.513719	−	1.06031i
$423$	−17.8090	+	13.4498i	−0.865901	+	0.653951i
$424$	32.1206	−	7.09146i	1.55991	−	0.344392i
$425$	1.34704	−	0.557960i	0.0653408	−	0.0270650i
$426$	8.14248	−	24.2375i	0.394504	−	1.17431i
$427$	−36.0924	−	7.17922i	−1.74663	−	0.347427i
$428$	1.47515	+	18.5372i	0.0713040	+	0.896030i
$429$	13.7065	+	15.7505i	0.661755	+	0.760444i
$430$	27.3157	−	16.0260i	1.31728	−	0.772841i
$431$	13.3435	−	13.3435i	0.642734	−	0.642734i	−0.308493	−	0.951227i	$-0.599824\pi$
$431$	13.3435	−	13.3435i	0.642734	−	0.642734i	0.951227	+	0.308493i	$0.0998245\pi$
$432$	−19.5692	+	7.00342i	−0.941522	+	0.336952i
$433$	19.3518	+	19.3518i	0.929990	+	0.929990i	0.997705	−	0.0677147i	$-0.0215708\pi$
$433$	19.3518	+	19.3518i	0.929990	+	0.929990i	−0.0677147	+	0.997705i	$0.521571\pi$
$434$	−22.0888	−	5.75373i	−1.06030	−	0.276188i
$435$	7.39643	−	6.43654i	0.354632	−	0.308608i
$436$	−3.48530	+	10.7585i	−0.166916	+	0.515239i
$437$	−0.630888	+	3.17169i	−0.0301795	+	0.151723i
$438$	12.3728	+	24.8916i	0.591195	+	1.18937i
$439$	−9.88264	−	23.8588i	−0.471673	−	1.13872i	−0.963424	−	0.267982i	$-0.913643\pi$
$439$	−9.88264	−	23.8588i	−0.471673	−	1.13872i	0.491751	−	0.870736i	$-0.336357\pi$
$440$	18.9279	−	19.7377i	0.902352	−	0.940958i
$441$	−6.38030	−	8.44821i	−0.303824	−	0.402296i
$442$	15.2768	−	5.30499i	0.726644	−	0.252333i
$443$	12.6978	−	8.48437i	0.603288	−	0.403104i	−0.216077	−	0.976376i	$-0.569326\pi$
$443$	12.6978	−	8.48437i	0.603288	−	0.403104i	0.819365	+	0.573272i	$0.194326\pi$
$444$	7.12656	+	6.98362i	0.338212	+	0.331428i
$445$	−0.279104	−	1.40315i	−0.0132308	−	0.0665157i
$446$	1.79357	+	12.9257i	0.0849280	+	0.612048i
$447$	8.80668	+	2.39594i	0.416542	+	0.113324i
$448$	10.9294	+	23.5457i	0.516364	+	1.11243i
$449$		−	23.5103i		−	1.10952i	−0.832010	−	0.554760i	$-0.812810\pi$
$449$		−	23.5103i		−	1.10952i	0.832010	−	0.554760i	$-0.187190\pi$
$450$	−1.44334	−	0.599002i	−0.0680396	−	0.0282372i
$451$	−27.6985	+	5.50957i	−1.30427	+	0.259436i
$452$	5.97418	−	10.6895i	0.281002	−	0.502791i
$453$	4.01320	−	1.34518i	0.188557	−	0.0632019i
$454$	2.77499	+	7.99117i	0.130237	+	0.375044i
$455$	−20.0652	−	8.31127i	−0.940671	−	0.389639i
$456$	5.90080	−	23.6323i	0.276330	−	1.10668i
$457$	−26.3644	+	10.9205i	−1.23328	+	0.510840i	−0.901607	−	0.432556i	$-0.857612\pi$
$457$	−26.3644	+	10.9205i	−1.23328	+	0.510840i	−0.331669	+	0.943396i	$0.607612\pi$
$458$	−2.16195	+	1.92284i	−0.101021	+	0.0898486i
$459$	11.2301	+	17.2324i	0.524174	+	0.804341i
$460$	0.928862	−	2.86723i	0.0433084	−	0.133685i
$461$	−13.7238	+	20.5391i	−0.639182	+	0.956603i	0.360533	+	0.932746i	$0.382595\pi$
$461$	−13.7238	+	20.5391i	−0.639182	+	0.956603i	−0.999715	+	0.0238571i	$0.992405\pi$
$462$	28.7757	+	16.4930i	1.33877	+	0.767325i
$463$	−14.5134	+	14.5134i	−0.674496	+	0.674496i	−0.958749	−	0.284253i	$-0.908254\pi$
$463$	−14.5134	+	14.5134i	−0.674496	+	0.674496i	0.284253	+	0.958749i	$0.408254\pi$
$464$	−6.64633	−	7.16489i	−0.308548	−	0.332622i
$465$	−9.91463	−	17.3256i	−0.459780	−	0.803455i
$466$	−8.30688	−	14.1588i	−0.384809	−	0.655892i
$467$	−5.74856	+	8.60333i	−0.266012	+	0.398115i	−0.940296	−	0.340357i	$-0.889452\pi$
$467$	−5.74856	+	8.60333i	−0.266012	+	0.398115i	0.674285	+	0.738472i	$0.264452\pi$
$468$	−15.5932	−	7.56801i	−0.720798	−	0.349831i
$469$	−5.93175	+	29.8209i	−0.273903	+	1.37700i
$470$	−1.42441	+	24.3338i	−0.0657031	+	1.12243i
$471$	7.89866	−	1.00911i	0.363951	−	0.0464974i
$472$	−24.5520	−	15.6716i	−1.13010	−	0.721345i
$473$	−37.2620	−	15.4344i	−1.71331	−	0.709676i
$474$	−11.8954	−	10.3659i	−0.546373	−	0.476120i
$475$	1.52271	−	1.01744i	0.0698668	−	0.0466835i
$476$	20.1601	−	15.9215i	0.924039	−	0.729759i
$477$	−11.4676	+	32.9510i	−0.525067	+	1.50872i
$478$	−14.1850	−	10.7281i	−0.648807	−	0.490690i
$479$		−	29.8348i		−	1.36319i	−0.731730	−	0.681594i	$-0.761287\pi$
$479$		−	29.8348i		−	1.36319i	0.731730	−	0.681594i	$-0.238713\pi$
$480$	−8.03176	+	21.2332i	−0.366598	+	0.969161i
$481$			8.32081i			0.379396i
$482$	2.78187	−	3.67828i	0.126711	−	0.167541i
$483$	3.64665	+	0.253047i	0.165928	+	0.0115140i
$484$	−12.7390	−	1.49651i	−0.579043	−	0.0680232i
$485$	−24.3265	+	16.2544i	−1.10461	+	0.738075i
$486$	4.56373	−	21.5679i	0.207015	−	0.978338i
$487$	30.2638	+	12.5357i	1.37138	+	0.568045i	0.942163	−	0.335155i	$-0.108789\pi$
$487$	30.2638	+	12.5357i	1.37138	+	0.568045i	0.429219	+	0.903200i	$0.358789\pi$
$488$	−26.2921	+	18.3756i	−1.19019	+	0.831825i
$489$	−4.19310	−	32.8208i	−0.189619	−	1.48421i
$490$	−11.5434	−	0.675711i	−0.521480	−	0.0305255i
$491$	4.49395	−	22.5926i	0.202809	−	1.01959i	−0.736479	−	0.676460i	$-0.763513\pi$
$491$	4.49395	−	22.5926i	0.202809	−	1.01959i	0.939288	−	0.343130i	$-0.111487\pi$
$492$	19.3601	−	13.2216i	0.872820	−	0.596076i
$493$	−5.37312	+	8.04145i	−0.241993	+	0.362169i
$494$	17.5198	−	10.2788i	0.788254	−	0.462465i
$495$	7.29232	+	28.0739i	0.327765	+	1.26183i
$496$	−16.9466	+	10.4255i	−0.760924	+	0.468119i
$497$	23.9502	−	23.9502i	1.07431	−	1.07431i
$498$	−26.6923	−	15.2989i	−1.19611	−	0.685560i
$499$	−0.236643	+	0.354162i	−0.0105936	+	0.0158545i	−0.836729	−	0.547618i	$-0.815535\pi$
$499$	−0.236643	+	0.354162i	−0.0105936	+	0.0158545i	0.826135	+	0.563472i	$0.190535\pi$
$500$	19.1150	−	9.76057i	0.854851	−	0.436506i
$501$	5.87427	−	11.7977i	0.262443	−	0.527082i
$502$	−0.670226	−	0.753570i	−0.0299137	−	0.0336335i
$503$	−24.8914	+	10.3103i	−1.10985	+	0.459715i	−0.860887	−	0.508797i	$-0.830090\pi$
$503$	−24.8914	+	10.3103i	−1.10985	+	0.459715i	−0.248965	+	0.968513i	$0.580090\pi$
$504$	−27.3431	−	3.23102i	−1.21796	−	0.143921i
$505$	−30.4762	−	12.6236i	−1.35617	−	0.561745i
$506$	−3.62591	+	1.25912i	−0.161191	+	0.0559748i
$507$	2.56234	+	7.64450i	0.113798	+	0.339504i
$508$	1.39052	+	4.91403i	0.0616943	+	0.218025i
$509$	−36.0850	+	7.17775i	−1.59944	+	0.318148i	−0.912660	−	0.408719i	$-0.865976\pi$
$509$	−36.0850	+	7.17775i	−1.59944	+	0.318148i	−0.686778	+	0.726867i	$0.740976\pi$
$510$	22.2826	+	2.86220i	0.986692	+	0.126740i
$511$			36.8227i			1.62894i
$512$	21.4074	+	7.32962i	0.946082	+	0.323927i
$513$	18.0572	+	18.4771i	0.797245	+	0.815783i
$514$	30.4468	−	4.22481i	1.34295	−	0.186349i
$515$	−6.63731	−	33.3680i	−0.292475	−	1.47037i
$516$	33.4795	−	0.339151i	1.47385	−	0.0149303i
$517$	25.8110	−	17.2463i	1.13517	−	0.758493i
$518$	4.33596	+	12.4863i	0.190511	+	0.548616i
$519$	−30.7202	−	23.7600i	−1.34847	−	1.04295i
$520$	−17.3347	+	7.60934i	−0.760178	+	0.333692i
$521$	3.68944	+	8.90710i	0.161637	+	0.390227i	0.983860	−	0.178939i	$-0.0572663\pi$
$521$	3.68944	+	8.90710i	0.161637	+	0.390227i	−0.822223	+	0.569166i	$0.807266\pi$
$522$	10.1679	−	2.01532i	0.445038	−	0.0882084i
$523$	2.43828	−	12.2581i	0.106619	−	0.536008i	−0.890149	−	0.455669i	$-0.849400\pi$
$523$	2.43828	−	12.2581i	0.106619	−	0.536008i	0.996768	−	0.0803382i	$-0.0256000\pi$
$524$	8.21888	+	16.0958i	0.359044	+	0.703149i
$525$	−1.35894	−	1.56160i	−0.0593090	−	0.0681539i
$526$	−8.87884	+	34.0862i	−0.387136	+	1.48623i
$527$	13.9229	+	13.9229i	0.606492	+	0.606492i
$528$	27.7374	−	8.15318i	1.20712	−	0.354822i
$529$	15.9643	−	15.9643i	0.694101	−	0.694101i
$530$	19.2835	+	32.8681i	0.837623	+	1.42770i
$531$	27.8120	−	13.4515i	1.20694	−	0.583744i
$532$	20.9342	−	24.5540i	0.907612	−	1.06455i
$533$	19.1749	+	3.81412i	0.830555	+	0.165208i
$534$	0.481654	−	1.43373i	0.0208432	−	0.0620434i
$535$	−19.9031	+	8.24413i	−0.860485	+	0.356425i
$536$	15.1826	+	21.7235i	0.655790	+	0.938314i
$537$	−17.2516	−	13.3429i	−0.744463	−	0.575791i
$538$	12.4043	+	6.00983i	0.534786	+	0.259102i
$539$	8.18131	+	12.2442i	0.352394	+	0.527395i
$540$	−14.7052	−	19.0666i	−0.632813	−	0.820496i
$541$	−10.2116	+	2.03121i	−0.439030	+	0.0873286i	−0.409656	−	0.912240i	$-0.634351\pi$
$541$	−10.2116	+	2.03121i	−0.439030	+	0.0873286i	−0.0293740	+	0.999568i	$0.509351\pi$
$542$	−7.27606	−	5.50285i	−0.312533	−	0.236368i
$543$	8.55975	+	2.32876i	0.367334	+	0.0999365i
$544$	2.14633	−	22.2893i	0.0920233	−	0.955644i
$545$	−13.1012			−0.561196
$546$	−14.0349	−	18.1718i	−0.600636	−	0.777681i
$547$	−6.50035	−	32.6794i	−0.277935	−	1.39727i	−0.827333	−	0.561712i	$-0.810143\pi$
$547$	−6.50035	−	32.6794i	−0.277935	−	1.39727i	0.549398	−	0.835561i	$-0.314857\pi$
$548$	15.3253	+	19.4053i	0.654666	+	0.828955i
$549$	−1.96503	−	33.9661i	−0.0838656	−	1.44964i
$550$	1.95617	+	0.947759i	0.0834114	+	0.0404126i
$551$	−4.64874	+	11.2230i	−0.198043	+	0.478118i
$552$	2.35931	−	2.14157i	0.100419	−	0.0911512i
$553$	−7.99859	−	19.3103i	−0.340135	−	0.821158i
$554$	7.85128	+	0.459585i	0.333569	+	0.0195259i
$555$	−5.15220	+	10.3475i	−0.218699	+	0.439227i
$556$	0.693030	+	8.70885i	0.0293910	+	0.369337i
$557$	−8.30981	−	5.55244i	−0.352098	−	0.235264i	0.366925	−	0.930250i	$-0.380411\pi$
$557$	−8.30981	−	5.55244i	−0.352098	−	0.235264i	−0.719023	+	0.694986i	$0.755411\pi$
$558$	0.0143751	−	21.1036i	0.000608548	−	0.893387i
$559$	19.7429	+	19.7429i	0.835038	+	0.835038i
$560$	−22.0475	+	20.4518i	−0.931675	+	0.864245i
$561$	−14.2102	−	24.8321i	−0.599957	−	1.04841i
$562$	4.96906	−	19.0764i	0.209607	−	0.804691i
$563$	−22.7923	−	15.2293i	−0.960580	−	0.641839i	−0.0267829	−	0.999641i	$-0.508526\pi$
$563$	−22.7923	−	15.2293i	−0.960580	−	0.641839i	−0.933797	+	0.357802i	$0.883526\pi$
$564$	−14.0991	+	21.5706i	−0.593678	+	0.908286i
$565$	13.9138	+	2.76762i	0.585357	+	0.116435i
$566$	0.677475	+	0.761721i	0.0284764	+	0.0320175i
$567$	18.1309	−	22.8936i	0.761425	−	0.961439i
$568$	−0.618211	−	29.5177i	−0.0259396	−	1.23853i
$569$	−4.41806	+	10.6661i	−0.185215	+	0.447148i	−0.989027	−	0.147735i	$-0.952802\pi$
$569$	−4.41806	+	10.6661i	−0.185215	+	0.447148i	0.803812	+	0.594883i	$0.202802\pi$
$570$	28.1517	−	1.93423i	1.17915	−	0.0810158i
$571$	16.8906	+	25.2785i	0.706848	+	1.05787i	0.994960	+	0.100276i	$0.0319725\pi$
$571$	16.8906	+	25.2785i	0.706848	+	1.05787i	−0.288112	+	0.957597i	$0.593027\pi$
$572$	21.0456	+	11.7620i	0.879961	+	0.491796i
$573$	−8.74642	−	0.606928i	−0.365387	−	0.0253548i
$574$	30.7615	−	4.26848i	1.28396	−	0.178163i
$575$	0.239565			0.00999054
$576$	−18.5295	+	15.2532i	−0.772061	+	0.635548i
$577$	−8.26792			−0.344198			−0.172099	−	0.985080i	$-0.555055\pi$
$577$	−8.26792			−0.344198			−0.172099	+	0.985080i	$0.555055\pi$
$578$	1.86403	−	0.258653i	0.0775334	−	0.0107586i
$579$	20.7823	+	1.44211i	0.863681	+	0.0599322i
$580$	5.52343	−	9.88297i	0.229348	−	0.410368i
$581$	−22.6425	−	33.8868i	−0.939368	−	1.40586i
$582$	−30.8579	+	2.12016i	−1.27910	+	0.0878833i
$583$	18.5718	−	44.8362i	0.769164	−	1.85693i
$584$	23.1665	+	22.2160i	0.958636	+	0.919305i
$585$	2.77337	−	19.8872i	0.114665	−	0.822236i
$586$	7.64815	+	8.59921i	0.315942	+	0.355230i
$587$	7.10112	+	1.41250i	0.293095	+	0.0583001i	0.339448	−	0.940625i	$-0.389760\pi$
$587$	7.10112	+	1.41250i	0.293095	+	0.0583001i	−0.0463530	+	0.998925i	$0.514760\pi$
$588$	−10.2326	−	6.68831i	−0.421987	−	0.275821i
$589$	20.5636	+	13.7402i	0.847309	+	0.566154i
$590$	8.50574	−	32.6539i	0.350176	−	1.34434i
$591$	−4.04987	−	7.07704i	−0.166589	−	0.291111i
$592$	10.4716	+	4.80537i	0.430378	+	0.197499i
$593$	27.6343	+	27.6343i	1.13480	+	1.13480i	0.989368	+	0.145436i	$0.0464585\pi$
$593$	27.6343	+	27.6343i	1.13480	+	1.13480i	0.145436	+	0.989368i	$0.453542\pi$
$594$	−8.07014	+	29.5836i	−0.331122	+	1.21383i
$595$	24.7448	+	16.5339i	1.01444	+	0.677824i
$596$	10.5055	−	0.836002i	0.430322	−	0.0342440i
$597$	−0.724186	+	1.45443i	−0.0296389	+	0.0595259i
$598$	2.65260	+	0.155274i	0.108473	+	0.00634962i
$599$	−5.09553	−	12.3017i	−0.208198	−	0.502633i	0.784942	−	0.619569i	$-0.212693\pi$
$599$	−5.09553	−	12.3017i	−0.208198	−	0.502633i	−0.993139	+	0.116936i	$0.962693\pi$
$600$	−1.80234	−	0.0871928i	−0.0735802	−	0.00355963i
$601$	3.00015	−	7.24300i	0.122379	−	0.295448i	−0.850804	−	0.525484i	$-0.823884\pi$
$601$	3.00015	−	7.24300i	0.122379	−	0.295448i	0.973182	+	0.230036i	$0.0738843\pi$
$602$	39.9145	+	19.3385i	1.62679	+	0.788177i
$603$	−28.0641	+	1.62359i	−1.14286	+	0.0661175i
$604$	3.83555	−	3.02912i	0.156066	−	0.123253i
$605$	−2.89891	−	14.5738i	−0.117858	−	0.592510i
$606$	−21.3169	−	27.6003i	−0.865941	−	1.12119i
$607$	−13.5334			−0.549305			−0.274653	−	0.961544i	$-0.588563\pi$
$607$	−13.5334			−0.549305			−0.274653	+	0.961544i	$0.588563\pi$
$608$	−2.81773	−	27.9845i	−0.114274	−	1.13492i
$609$	13.2498	+	3.60474i	0.536910	+	0.146071i
$610$	−29.6388	−	22.4157i	−1.20004	−	0.907584i
$611$	−21.0769	+	4.19247i	−0.852682	+	0.169609i
$612$	18.9334	+	14.3395i	0.765337	+	0.579641i
$613$	−21.9463	−	32.8449i	−0.886401	−	1.32659i	−0.944578	−	0.328286i	$-0.893529\pi$
$613$	−21.9463	−	32.8449i	−0.886401	−	1.32659i	0.0581776	−	0.998306i	$-0.481471\pi$
$614$	8.41846	+	4.07872i	0.339741	+	0.164604i
$615$	21.4836	+	16.6161i	0.866303	+	0.670026i
$616$	37.7104	+	6.68343i	1.51940	+	0.269283i
$617$	−3.92159	+	1.62438i	−0.157877	+	0.0653949i	−0.460223	−	0.887804i	$-0.652230\pi$
$617$	−3.92159	+	1.62438i	−0.157877	+	0.0653949i	0.302345	+	0.953198i	$0.402230\pi$
$618$	11.4541	−	34.0951i	0.460751	−	1.37151i
$619$	22.0446	+	4.38494i	0.886047	+	0.176246i	0.617077	−	0.786903i	$-0.288317\pi$
$619$	22.0446	+	4.38494i	0.886047	+	0.176246i	0.268970	+	0.963149i	$0.413317\pi$
$620$	−17.5404	−	14.9545i	−0.704438	−	0.600587i
$621$	0.621193	+	3.32203i	0.0249276	+	0.133308i
$622$	−3.32858	−	5.67344i	−0.133464	−	0.227484i
$623$	1.41673	−	1.41673i	0.0567602	−	0.0567602i
$624$	−19.9001	−	2.13364i	−0.796641	−	0.0854138i
$625$	18.8840	+	18.8840i	0.755359	+	0.755359i
$626$	−2.90067	+	11.1358i	−0.115934	+	0.445076i
$627$	−23.5908	−	27.1089i	−0.942125	−	1.08263i
$628$	8.18891	−	4.18144i	0.326773	−	0.166858i
$629$	2.22438	−	11.1827i	0.0886920	−	0.445885i
$630$	−6.20146	−	31.2882i	−0.247072	−	1.24655i
$631$	−2.86253	−	6.91077i	−0.113956	−	0.275113i	0.856604	−	0.515975i	$-0.172570\pi$
$631$	−2.86253	−	6.91077i	−0.113956	−	0.275113i	−0.970560	+	0.240861i	$0.922570\pi$
$632$	−16.9745	−	6.61816i	−0.675211	−	0.263256i
$633$	23.4481	+	18.1355i	0.931980	+	0.720823i
$634$	15.3189	+	44.1139i	0.608390	+	1.75198i
$635$	−4.91926	+	3.28695i	−0.195215	+	0.130438i
$636$	0.408090	+	40.2848i	0.0161818	+	1.59740i
$637$	−1.98882	−	9.99847i	−0.0787999	−	0.396154i
$638$	−14.2816	+	1.98172i	−0.565414	+	0.0784571i
$639$	26.9989	+	15.8649i	1.06806	+	0.627604i
$640$	−0.434815	+	26.2099i	−0.0171876	+	1.03604i
$641$		−	16.6789i		−	0.658776i	−0.944195	−	0.329388i	$-0.893158\pi$
$641$		−	16.6789i		−	0.658776i	0.944195	−	0.329388i	$-0.106842\pi$
$642$	−22.5895	−	2.90162i	−0.891538	−	0.114518i
$643$	7.15402	−	1.42302i	0.282127	−	0.0561185i	−0.0519984	−	0.998647i	$-0.516559\pi$
$643$	7.15402	−	1.42302i	0.282127	−	0.0561185i	0.334125	+	0.942529i	$0.391559\pi$
$644$	4.06144	−	1.14926i	0.160043	−	0.0452873i
$645$	12.3270	+	36.7765i	0.485376	+	1.44807i
$646$	−26.2936	+	9.13064i	−1.03451	+	0.359240i
$647$	33.9198	+	14.0501i	1.33353	+	0.552364i	0.931659	−	0.363334i	$-0.118361\pi$
$647$	33.9198	+	14.0501i	1.33353	+	0.552364i	0.401867	+	0.915698i	$0.368361\pi$
$648$	−3.46439	−	25.2190i	−0.136094	−	0.990696i
$649$	−39.7019	+	16.4451i	−1.55844	+	0.645525i
$650$	−1.00004	−	1.12439i	−0.0392246	−	0.0441023i
$651$	12.4605	−	25.0253i	0.488367	−	0.980820i
$652$	−17.3749	−	34.0269i	−0.680454	−	1.33260i
$653$	−1.13880	+	1.70434i	−0.0445647	+	0.0666958i	−0.853083	−	0.521775i	$-0.825270\pi$
$653$	−1.13880	+	1.70434i	−0.0445647	+	0.0666958i	0.808518	+	0.588471i	$0.200270\pi$
$654$	−12.0167	−	6.88749i	−0.469891	−	0.269322i
$655$	−14.8047	+	14.8047i	−0.578468	+	0.578468i
$656$	15.8737	−	21.9285i	0.619764	−	0.856162i
$657$	−32.9508	+	8.55912i	−1.28553	+	0.333923i
$658$	−29.4436	+	17.2744i	−1.14783	+	0.673427i
$659$	−16.5898	+	24.8284i	−0.646247	+	0.967176i	0.353253	+	0.935528i	$0.385076\pi$
$659$	−16.5898	+	24.8284i	−0.646247	+	0.967176i	−0.999499	+	0.0316483i	$0.989924\pi$
$660$	18.8887	+	27.6583i	0.735242	+	1.07660i
$661$	8.45568	−	42.5096i	0.328888	−	1.65343i	−0.363269	−	0.931684i	$-0.618340\pi$
$661$	8.45568	−	42.5096i	0.328888	−	1.65343i	0.692157	−	0.721747i	$-0.256660\pi$
$662$	−16.1391	−	0.944726i	−0.627265	−	0.0367178i
$663$	2.50999	+	19.6465i	0.0974799	+	0.763008i
$664$	−34.9801	−	6.19954i	−1.35749	−	0.240589i
$665$	34.5350	+	14.3049i	1.33921	+	0.554719i
$666$	−10.1655	+	6.78237i	−0.393906	+	0.262811i
$667$	−1.32128	+	0.882848i	−0.0511600	+	0.0341840i
$668$	1.77554	−	15.1142i	0.0686977	−	0.584784i
$669$	−15.9440	−	1.10638i	−0.616430	−	0.0427750i
$670$	−18.5207	+	24.4887i	−0.715517	+	0.946080i
$671$			47.3249i			1.82696i
$672$	−30.9741	+	7.16814i	−1.19485	+	0.276517i
$673$			48.0915i			1.85379i	0.375320	+	0.926895i	$0.377533\pi$
$673$			48.0915i			1.85379i	−0.375320	+	0.926895i	$0.622467\pi$
$674$	18.5031	+	13.9938i	0.712712	+	0.539021i
$675$	1.08153	−	1.57903i	0.0416280	−	0.0607769i
$676$	5.76999	+	7.30610i	0.221923	+	0.281004i
$677$	−15.2628	+	10.1983i	−0.586596	+	0.391951i	−0.813155	−	0.582047i	$-0.802252\pi$
$677$	−15.2628	+	10.1983i	−0.586596	+	0.391951i	0.226560	+	0.973997i	$0.427252\pi$
$678$	11.3070	+	9.85316i	0.434243	+	0.378408i
$679$	−37.8548	−	15.6800i	−1.45273	−	0.601741i
$680$	25.3312	−	5.59251i	0.971406	−	0.214463i
$681$	−10.2769	+	1.31295i	−0.393812	+	0.0503124i
$682$	−1.71537	+	29.3044i	−0.0656851	+	1.12212i
$683$	−1.49353	+	7.50848i	−0.0571484	+	0.287304i	−0.998782	−	0.0493343i	$-0.984290\pi$
$683$	−1.49353	+	7.50848i	−0.0571484	+	0.287304i	0.941634	+	0.336638i	$0.109290\pi$
$684$	26.8382	+	13.0256i	1.02618	+	0.498046i
$685$	−15.9149	+	23.8183i	−0.608076	+	0.910050i
$686$	8.06025	+	13.7384i	0.307742	+	0.524535i
$687$	−1.76003	−	3.07561i	−0.0671492	−	0.117342i
$688$	36.2479	−	13.4443i	1.38194	−	0.512559i
$689$	−23.7560	+	23.7560i	−0.905033	+	0.905033i
$690$	3.20256	+	1.83557i	0.121919	+	0.0698791i
$691$	−18.6738	+	27.9473i	−0.710385	+	1.06317i	0.284152	+	0.958779i	$0.408288\pi$
$691$	−18.6738	+	27.9473i	−0.710385	+	1.06317i	−0.994537	+	0.104387i	$0.966712\pi$
$692$	−42.6616	−	13.8206i	−1.62175	−	0.525379i
$693$	−27.0167	+	30.3346i	−1.02628	+	1.15232i
$694$	−22.9043	+	20.3711i	−0.869435	+	0.773277i
$695$	−9.35053	+	3.87312i	−0.354686	+	0.146916i
$696$	10.2618	−	6.16112i	0.388973	−	0.233537i
$697$	−24.7504	−	10.2520i	−0.937488	−	0.388320i
$698$	−2.14879	−	6.18790i	−0.0813330	−	0.234215i
$699$	19.0627	−	6.38957i	0.721016	−	0.241676i
$700$	−2.08658	−	1.16616i	−0.0788655	−	0.0440766i
$701$	−2.11361	+	0.420423i	−0.0798300	+	0.0158792i	−0.234844	−	0.972033i	$-0.575458\pi$
$701$	−2.11361	+	0.420423i	−0.0798300	+	0.0158792i	0.155014	+	0.987912i	$0.450458\pi$
$702$	12.9988	−	16.7830i	0.490607	−	0.633433i
$703$		−	14.3213i		−	0.540137i
$704$	26.9564	−	19.6927i	1.01596	−	0.742197i
$705$	−28.8066	−	7.83711i	−1.08492	−	0.295163i
$706$	−4.18229	−	30.1404i	−0.157402	−	1.13435i
$707$	−9.01266	−	45.3097i	−0.338956	−	1.70405i
$708$	24.9682	−	25.4792i	0.938362	−	0.957568i
$709$	−4.72322	+	3.15596i	−0.177384	+	0.118524i	−0.641093	−	0.767463i	$-0.721519\pi$
$709$	−4.72322	+	3.15596i	−0.177384	+	0.118524i	0.463708	+	0.885988i	$0.346519\pi$
$710$	32.3105	−	11.2201i	1.21259	−	0.421082i
$711$	15.4206	−	11.6461i	0.578319	−	0.436761i
$712$	−0.0365692	−	1.74606i	−0.00137049	−	0.0654365i
$713$	1.23807	+	2.98896i	0.0463660	+	0.111937i
$714$	14.0043	+	28.1739i	0.524098	+	1.05438i
$715$	−5.44894	+	27.3937i	−0.203779	+	1.02446i
$716$	−23.9576	−	7.76125i	−0.895338	−	0.290051i
$717$	16.4315	−	14.2991i	0.613647	−	0.534009i
$718$	−7.68436	−	2.00163i	−0.286778	−	0.0747003i
$719$	−11.1322	−	11.1322i	−0.415162	−	0.415162i	0.468370	−	0.883532i	$-0.344841\pi$
$719$	−11.1322	−	11.1322i	−0.415162	−	0.415162i	−0.883532	+	0.468370i	$0.844841\pi$
$720$	−23.4260	−	14.9754i	−0.873036	−	0.558098i
$721$	33.6910	−	33.6910i	1.25472	−	1.25472i
$722$	−6.97830	+	4.09413i	−0.259705	+	0.152368i
$723$	3.70786	+	4.26082i	0.137897	+	0.158462i
$724$	10.2109	−	0.812561i	0.379486	−	0.0301986i
$725$	0.882624	+	0.175565i	0.0327798	+	0.00652031i
$726$	5.00270	−	14.8914i	0.185668	−	0.552671i
$727$	33.9556	−	14.0649i	1.25934	−	0.521638i	0.349636	−	0.936886i	$-0.386305\pi$
$727$	33.9556	−	14.0649i	1.25934	−	0.521638i	0.909708	+	0.415248i	$0.136305\pi$
$728$	−22.3481	−	14.2648i	−0.828274	−	0.528690i
$729$	24.7007	+	10.9030i	0.914841	+	0.403815i
$730$	−16.2130	+	33.4635i	−0.600068	+	1.23854i
$731$	−21.2557	−	31.8113i	−0.786169	−	1.17659i
$732$	−15.4011	−	36.1416i	−0.569240	−	1.33583i
$733$	6.42826	−	1.27866i	0.237433	−	0.0472284i	−0.0749393	−	0.997188i	$-0.523876\pi$
$733$	6.42826	−	1.27866i	0.237433	−	0.0472284i	0.312372	+	0.949960i	$0.398876\pi$
$734$	5.17228	−	6.83897i	0.190912	−	0.252431i
$735$	3.71776	−	13.6653i	0.137132	−	0.504051i
$736$	1.72732	−	3.24857i	0.0636699	−	0.119744i
$737$	39.1016			1.44033
$738$	10.9699	+	26.5348i	0.403808	+	0.976760i
$739$	3.47464	+	17.4682i	0.127817	+	0.642578i	0.990576	+	0.136963i	$0.0437343\pi$
$739$	3.47464	+	17.4682i	0.127817	+	0.642578i	−0.862759	+	0.505615i	$0.831266\pi$
$740$	−1.55729	+	13.2563i	−0.0572470	+	0.487312i
$741$	7.90636	+	23.5879i	0.290447	+	0.866521i
$742$	−23.2694	+	48.0278i	−0.854245	+	1.76316i
$743$	6.33718	−	15.2993i	0.232489	−	0.561277i	−0.763980	−	0.645240i	$-0.776758\pi$
$743$	6.33718	−	15.2993i	0.232489	−	0.561277i	0.996469	+	0.0839623i	$0.0267575\pi$
$744$	−8.22660	−	22.9377i	−0.301602	−	0.840939i
$745$	4.67215	+	11.2796i	0.171174	+	0.413251i
$746$	−2.44100	+	41.7006i	−0.0893714	+	1.52677i
$747$	25.0606	−	28.1383i	0.916920	−	1.02953i
$748$	−25.1399	−	21.4337i	−0.919205	−	0.783692i
$749$	−25.0856	−	16.7616i	−0.916607	−	0.612457i
$750$	6.88338	+	25.3693i	0.251346	+	0.926354i
$751$	11.9562	+	11.9562i	0.436287	+	0.436287i	0.890760	−	0.454473i	$-0.150173\pi$
$751$	11.9562	+	11.9562i	0.436287	+	0.436287i	−0.454473	+	0.890760i	$0.650173\pi$
$752$	−6.89607	+	28.9461i	−0.251474	+	1.05556i
$753$	1.07203	−	0.613475i	0.0390671	−	0.0223563i
$754$	9.65915	+	2.51603i	0.351765	+	0.0916284i
$755$	4.70779	+	3.14565i	0.171334	+	0.114482i
$756$	10.7605	−	31.9584i	0.391356	−	1.16231i
$757$	−22.8535	−	4.54585i	−0.830626	−	0.165222i	−0.238577	−	0.971124i	$-0.576681\pi$
$757$	−22.8535	−	4.54585i	−0.830626	−	0.165222i	−0.592049	+	0.805902i	$0.701681\pi$
$758$	15.4248	−	13.7188i	0.560253	−	0.498289i
$759$	−0.595738	−	4.66304i	−0.0216239	−	0.169258i
$760$	29.8355	−	13.0968i	1.08225	−	0.475069i
$761$	14.6147	−	35.2831i	0.529784	−	1.27901i	−0.401881	−	0.915692i	$-0.631643\pi$
$761$	14.6147	−	35.2831i	0.529784	−	1.27901i	0.931665	−	0.363319i	$-0.118357\pi$
$762$	−6.24003	+	0.428735i	−0.226053	+	0.0155314i
$763$	−10.1935	−	15.2557i	−0.369030	−	0.552293i
$764$	−9.74129	+	2.75648i	−0.352428	+	0.0997261i
$765$	−9.04368	+	25.9860i	−0.326975	+	0.939527i
$766$	−5.38871	−	38.8346i	−0.194702	−	1.40315i
$767$	29.7490			1.07417
$768$	−14.1777	+	23.8116i	−0.511593	+	0.859228i
$769$	44.5342			1.60594			0.802972	−	0.596017i	$-0.203251\pi$
$769$	44.5342			1.60594			0.802972	+	0.596017i	$0.203251\pi$
$770$	6.09805	+	43.9467i	0.219759	+	1.58373i
$771$	−2.60611	+	37.5566i	−0.0938568	+	1.35257i
$772$	23.1462	−	6.54965i	0.833048	−	0.235727i
$773$	−22.6089	−	33.8367i	−0.813187	−	1.21702i	−0.973213	−	0.229907i	$-0.926158\pi$
$773$	−22.6089	−	33.8367i	−0.813187	−	1.21702i	0.160026	−	0.987113i	$-0.448842\pi$
$774$	−8.02726	+	40.2126i	−0.288534	+	1.44541i
$775$	0.701131	−	1.69268i	0.0251854	−	0.0608029i
$776$	−32.7035	+	14.3557i	−1.17399	+	0.515339i
$777$	−16.0578	+	2.05150i	−0.576071	+	0.0735973i
$778$	−8.39952	+	7.47054i	−0.301137	+	0.267832i
$779$	−33.0026	−	6.56463i	−1.18244	−	0.235202i
$780$	−4.75349	−	22.6935i	−0.170202	−	0.812559i
$781$	−36.2175	−	24.1998i	−1.29597	−	0.865936i
$782$	−3.52346	−	0.917796i	−0.125999	−	0.0328203i
$783$	−0.145893	+	12.6945i	−0.00521379	+	0.453665i
$784$	−13.7314	−	3.27135i	−0.490408	−	0.116834i
$785$	7.53205	+	7.53205i	0.268830	+	0.268830i
$786$	−21.3622	+	5.79615i	−0.761964	+	0.206742i
$787$	6.68520	+	4.46691i	0.238302	+	0.159228i	0.668987	−	0.743274i	$-0.266728\pi$
$787$	6.68520	+	4.46691i	0.238302	+	0.159228i	−0.430685	+	0.902502i	$0.641728\pi$
$788$	−7.16477	−	6.10852i	−0.255234	−	0.217607i
$789$	−38.6177	−	19.2284i	−1.37483	−	0.684549i
$790$	1.23339	−	21.0704i	0.0438819	−	0.749652i
$791$	7.60297	+	18.3552i	0.270330	+	0.652636i
$792$	2.78480	+	35.2987i	0.0989534	+	1.25429i
$793$	12.5373	−	30.2678i	0.445214	−	1.07484i
$794$	−0.600292	+	1.23900i	−0.0213035	+	0.0439704i
$795$	−44.2520	+	14.8327i	−1.56946	+	0.526062i
$796$	−0.218890	+	1.86329i	−0.00775835	+	0.0660425i
$797$	8.93291	+	44.9088i	0.316420	+	1.59075i	0.732073	+	0.681227i	$0.238553\pi$
$797$	8.93291	+	44.9088i	0.316420	+	1.59075i	−0.415653	+	0.909523i	$0.636447\pi$
$798$	24.1560	+	31.2762i	0.855112	+	1.10717i
$799$	29.4471			1.04176
$800$	−1.99256	+	0.609174i	−0.0704475	+	0.0215376i
$801$	1.59707	+	0.938457i	0.0564298	+	0.0331587i
$802$	−4.91030	+	6.49257i	−0.173389	+	0.229261i
$803$	46.4449	−	9.23846i	1.63900	−	0.326018i
$804$	−29.8615	+	12.7250i	−1.05314	+	0.448774i
$805$	2.71666	+	4.06577i	0.0957496	+	0.143299i
$806$	8.86045	−	18.2879i	0.312096	−	0.644165i
$807$	−10.3279	+	13.3533i	−0.363558	+	0.470059i
$808$	−33.9435	−	21.6662i	−1.19413	−	0.762215i
$809$	−6.78162	+	2.80904i	−0.238429	+	0.0987605i	−0.498699	−	0.866775i	$-0.666189\pi$
$809$	−6.78162	+	2.80904i	−0.238429	+	0.0987605i	0.260270	+	0.965536i	$0.416189\pi$
$810$	26.5568	−	12.8221i	0.933111	−	0.450521i
$811$	−10.2741	−	2.04364i	−0.360772	−	0.0717619i	0.0113765	−	0.999935i	$-0.496379\pi$
$811$	−10.2741	−	2.04364i	−0.360772	−	0.0717619i	−0.372148	+	0.928173i	$0.621379\pi$
$812$	15.8057	−	1.25778i	0.554672	−	0.0441395i
$813$	8.42838	−	7.33457i	0.295596	−	0.257235i
$814$	14.6612	−	8.60168i	0.513876	−	0.301489i
$815$	31.2975	−	31.2975i	1.09630	−	1.09630i
$816$	26.1743	+	8.18735i	0.916284	+	0.286614i
$817$	−33.9804	−	33.9804i	−1.18882	−	1.18882i
$818$	−22.5282	−	5.86818i	−0.787679	−	0.205176i
$819$	25.3154	−	12.2440i	0.884593	−	0.427839i
$820$	29.8346	+	9.66516i	1.04187	+	0.337522i
$821$	2.67800	−	13.4632i	0.0934628	−	0.469869i	−0.905500	−	0.424345i	$-0.860504\pi$
$821$	2.67800	−	13.4632i	0.0934628	−	0.469869i	0.998963	−	0.0455238i	$-0.0144957\pi$
$822$	−27.1190	+	13.4800i	−0.945884	+	0.470168i
$823$	13.1752	+	31.8078i	0.459260	+	1.10875i	0.968697	+	0.248244i	$0.0798535\pi$
$823$	13.1752	+	31.8078i	0.459260	+	1.10875i	−0.509437	+	0.860508i	$0.670146\pi$
$824$	−0.869643	−	41.5228i	−0.0302954	−	1.44651i
$825$	−1.62872	+	2.10584i	−0.0567047	+	0.0733158i
$826$	44.6416	−	15.5021i	1.55328	−	0.539388i
$827$	−30.1214	+	20.1265i	−1.04742	+	0.699865i	−0.955226	−	0.295876i	$-0.904389\pi$
$827$	−30.1214	+	20.1265i	−1.04742	+	0.699865i	−0.0921959	+	0.995741i	$0.529389\pi$
$828$	1.97247	+	3.36725i	0.0685479	+	0.117020i
$829$	7.18294	+	36.1111i	0.249474	+	1.25419i	0.878853	+	0.477092i	$0.158309\pi$
$829$	7.18294	+	36.1111i	0.249474	+	1.25419i	−0.629379	+	0.777098i	$0.716691\pi$
$830$	−5.65654	−	40.7648i	−0.196342	−	1.41497i
$831$	−2.52864	+	9.29445i	−0.0877175	+	0.322421i
$832$	−22.4576	+	5.45366i	−0.778578	+	0.189072i
$833$			13.9691i			0.484001i
$834$	−10.6126	−	1.36319i	−0.367486	−	0.0472034i
$835$	17.2911	−	3.43942i	0.598385	−	0.119026i
$836$	−36.2224	−	20.2441i	−1.25278	−	0.700158i
$837$	25.2903	+	5.33340i	0.874161	+	0.184349i
$838$	−5.59748	−	16.1191i	−0.193362	−	0.556826i
$839$	9.89871	+	4.10018i	0.341741	+	0.141554i	0.546952	−	0.837164i	$-0.315788\pi$
$839$	9.89871	+	4.10018i	0.341741	+	0.141554i	−0.205211	+	0.978718i	$0.565788\pi$
$840$	−18.9587	−	31.5771i	−0.654137	−	1.08951i
$841$	21.2776	−	8.81345i	0.733709	−	0.303912i
$842$	−34.7752	+	30.9291i	−1.19843	+	1.06589i
$843$	21.6125	+	10.7612i	0.744373	+	0.370636i
$844$	32.5628	+	10.5490i	1.12086	+	0.363110i
$845$	−5.99195	+	8.96758i	−0.206129	+	0.308494i
$846$	−22.3020	−	22.3324i	−0.766757	−	0.767802i
$847$	14.7149	−	14.7149i	0.505610	−	0.505610i
$848$	16.1771	+	43.6159i	0.555523	+	1.49778i
$849$	−1.08363	+	0.620110i	−0.0371900	+	0.0212821i
$850$	1.04342	+	1.77846i	0.0357889	+	0.0610008i
$851$	1.04081	−	1.55769i	0.0356786	−	0.0533968i
$852$	35.5344	+	6.69477i	1.21739	+	0.229359i
$853$	−9.08474	+	45.6721i	−0.311056	+	1.56378i	0.436575	+	0.899668i	$0.356191\pi$
$853$	−9.08474	+	45.6721i	−0.311056	+	1.56378i	−0.747631	+	0.664114i	$0.768809\pi$
$854$	3.04116	−	51.9534i	0.104066	−	1.77781i
$855$	−4.77336	+	34.2287i	−0.163245	+	1.17060i
$856$	−25.6801	+	5.66954i	−0.877726	+	0.193781i
$857$	45.5534	+	18.8688i	1.55607	+	0.644547i	0.984402	−	0.175935i	$-0.0562948\pi$
$857$	45.5534	+	18.8688i	1.55607	+	0.644547i	0.571672	+	0.820482i	$0.306295\pi$
$858$	−19.3991	+	22.2614i	−0.662273	+	0.759993i
$859$	−7.19153	+	4.80523i	−0.245372	+	0.163952i	−0.672175	−	0.740392i	$-0.734640\pi$
$859$	−7.19153	+	4.80523i	−0.245372	+	0.163952i	0.426803	+	0.904345i	$0.359640\pi$
$860$	27.7585	+	35.1485i	0.946557	+	1.19855i
$861$	−2.63305	+	37.9448i	−0.0897340	+	1.29315i
$862$	21.2851	+	16.0978i	0.724974	+	0.548295i
$863$			46.7356i			1.59090i	0.606020	+	0.795450i	$0.292765\pi$
$863$			46.7356i			1.59090i	−0.606020	+	0.795450i	$0.707235\pi$
$864$	−13.6141	−	26.0510i	−0.463161	−	0.886274i
$865$		−	51.9515i		−	1.76640i
$866$	−23.3464	+	30.8694i	−0.793343	+	1.04899i
$867$	−0.159552	+	2.29930i	−0.00541869	+	0.0780885i
$868$	3.76628	−	32.0602i	0.127836	−	1.08820i
$869$	−22.3495	+	14.9335i	−0.758156	+	0.506583i
$870$	10.4539	+	9.10976i	0.354421	+	0.308850i
$871$	−25.0084	−	10.3588i	−0.847378	−	0.350995i
$872$	−15.7479	−	2.79100i	−0.533291	−	0.0945152i
$873$	5.23221	−	37.5190i	0.177083	−	1.26983i
$874$	−4.56551	−	0.267248i	−0.154431	−	0.00903980i
$875$	−6.79337	+	34.1526i	−0.229658	+	1.15457i
$876$	−32.4630	+	22.1700i	−1.09682	+	0.749055i
$877$	−12.8546	+	19.2382i	−0.434068	+	0.649629i	−0.982434	−	0.186609i	$-0.940250\pi$
$877$	−12.8546	+	19.2382i	−0.434068	+	0.649629i	0.548366	+	0.836239i	$0.315250\pi$
$878$	31.5003	−	18.4811i	1.06308	−	0.623706i
$879$	−12.2333	+	7.00055i	−0.412619	+	0.236123i
$880$	31.3275	+	22.6775i	1.05605	+	0.764460i
$881$	11.5082	−	11.5082i	0.387719	−	0.387719i	−0.486154	−	0.873873i	$-0.661601\pi$
$881$	11.5082	−	11.5082i	0.387719	−	0.387719i	0.873873	+	0.486154i	$0.161601\pi$
$882$	10.5940	−	10.5796i	0.356719	−	0.356233i
$883$	23.1820	−	34.6943i	0.780136	−	1.16756i	−0.202001	−	0.979385i	$-0.564744\pi$
$883$	23.1820	−	34.6943i	0.780136	−	1.16756i	0.982136	−	0.188170i	$-0.0602557\pi$
$884$	10.4006	+	20.3685i	0.349810	+	0.685067i
$885$	36.9950	+	18.4204i	1.24357	+	0.619195i
$886$	14.3530	+	16.1378i	0.482197	+	0.542159i
$887$	25.8716	−	10.7164i	0.868684	−	0.359821i	0.0965861	−	0.995325i	$-0.469208\pi$
$887$	25.8716	−	10.7164i	0.868684	−	0.359821i	0.772097	+	0.635504i	$0.219208\pi$
$888$	−8.39738	+	11.3403i	−0.281798	+	0.380554i
$889$	−7.65494	−	3.17078i	−0.256738	−	0.106344i
$890$	1.91127	−	0.663703i	0.0640660	−	0.0222474i
$891$	−33.4248	−	17.1249i	−1.11977	−	0.573705i
$892$	−17.7575	+	5.02483i	−0.594566	+	0.168244i
$893$	36.2764	−	7.21582i	1.21394	−	0.241468i
$894$	−1.64442	+	12.8020i	−0.0549976	+	0.428164i
$895$		−	29.1745i		−	0.975197i
$896$	−30.8583	+	19.8865i	−1.03090	+	0.664360i
$897$	−0.854317	+	3.14019i	−0.0285248	+	0.104848i
$898$	32.9331	−	4.56980i	1.09899	−	0.152496i
$899$	2.37093	+	11.9195i	0.0790751	+	0.397537i
$900$	0.558529	−	2.13825i	0.0186176	−	0.0712749i
$901$	38.2776	−	25.5763i	1.27521	−	0.852069i
$902$	−13.1016	−	37.7289i	−0.436237	−	1.25624i
$903$	−33.2331	+	42.9684i	−1.10593	+	1.42990i
$904$	16.1350	+	6.29082i	0.536641	+	0.209229i
$905$	4.54114	+	10.9633i	0.150953	+	0.364432i
$906$	2.66438	+	5.36020i	0.0885180	+	0.178081i
$907$	0.941502	−	4.73325i	0.0312621	−	0.157165i	−0.962001	−	0.273046i	$-0.911969\pi$
$907$	0.941502	−	4.73325i	0.0312621	−	0.157165i	0.993263	+	0.115881i	$0.0369690\pi$
$908$	−10.6546	+	5.44046i	−0.353584	+	0.180548i
$909$	38.4505	−	18.5968i	1.27532	−	0.616819i
$910$	7.74221	−	29.7227i	0.256652	−	0.985297i
$911$	−7.49153	−	7.49153i	−0.248205	−	0.248205i	0.572028	−	0.820234i	$-0.306157\pi$
$911$	−7.49153	−	7.49153i	−0.248205	−	0.248205i	−0.820234	+	0.572028i	$0.806157\pi$
$912$	34.2508	+	3.67229i	1.13416	+	0.121602i
$913$	−37.0610	+	37.0610i	−1.22654	+	1.22654i
$914$	−20.4219	−	34.8084i	−0.675498	−	1.15136i
$915$	34.3327	−	29.8771i	1.13501	−	0.987707i
$916$	−3.11373	−	2.65469i	−0.102881	−	0.0877135i
$917$	−28.7582	−	5.72035i	−0.949678	−	0.188903i
$918$	−21.9562	+	19.0805i	−0.724663	+	0.629751i
$919$	30.0551	−	12.4492i	0.991427	−	0.410663i	0.172781	−	0.984960i	$-0.444725\pi$
$919$	30.0551	−	12.4492i	0.991427	−	0.410663i	0.818647	+	0.574298i	$0.194725\pi$
$920$	4.19694	+	0.743825i	0.138369	+	0.0245232i
$921$	−7.00926	+	9.06255i	−0.230963	+	0.298621i
$922$	−31.4386	−	15.2319i	−1.03538	−	0.501637i
$923$	16.7528	+	25.0723i	0.551425	+	0.825266i
$924$	−17.5100	+	43.5146i	−0.576038	+	1.43152i
$925$	−1.04055	+	0.206978i	−0.0342130	+	0.00680539i
$926$	−23.1513	−	17.5093i	−0.760800	−	0.575390i
$927$	37.9796	+	22.3172i	1.24741	+	0.732994i
$928$	8.74465	−	10.7028i	0.287057	−	0.351336i
$929$	15.9858			0.524478			0.262239	−	0.965003i	$-0.415539\pi$
$929$	15.9858			0.524478			0.262239	+	0.965003i	$0.415539\pi$
$930$	22.3424	−	17.2560i	0.732636	−	0.565846i
$931$	3.42304	+	17.2088i	0.112186	+	0.563995i
$932$	18.2188	−	14.3883i	0.596778	−	0.471305i
$933$	7.63845	−	2.56031i	0.250072	−	0.0838209i
$934$	−13.1689	−	6.38027i	−0.430898	−	0.208769i
$935$	14.6462	−	35.3590i	0.478981	−	1.15636i
$936$	7.57027	−	23.3139i	0.247442	−	0.762039i
$937$	−1.86099	−	4.49283i	−0.0607959	−	0.146774i	0.890562	−	0.454861i	$-0.150311\pi$
$937$	−1.86099	−	4.49283i	−0.0607959	−	0.146774i	−0.951358	+	0.308087i	$0.900311\pi$
$938$	−42.9259	−	2.51272i	−1.40158	−	0.0820433i
$939$	−12.6162	−	6.28182i	−0.411714	−	0.204999i
$940$	−34.3634	+	2.73456i	−1.12081	+	0.0891916i
$941$	10.9476	+	7.31496i	0.356882	+	0.238461i	0.721066	−	0.692866i	$-0.243652\pi$
$941$	10.9476	+	7.31496i	0.356882	+	0.238461i	−0.364185	+	0.931327i	$0.618652\pi$
$942$	2.94885	+	10.8682i	0.0960788	+	0.354106i
$943$	−3.11251	−	3.11251i	−0.101357	−	0.101357i
$944$	17.1804	−	37.4384i	0.559174	−	1.21852i
$945$	39.0630	+	0.448935i	1.27072	+	0.0146039i
$946$	14.3777	−	55.1964i	0.467458	−	1.79459i
$947$	−26.5315	−	17.7278i	−0.862157	−	0.576075i	0.0439925	−	0.999032i	$-0.485992\pi$
$947$	−26.5315	−	17.7278i	−0.862157	−	0.576075i	−0.906150	+	0.422957i	$0.860992\pi$
$948$	12.2083	−	18.6778i	0.396506	−	0.606627i
$949$	−32.1524	−	6.39551i	−1.04371	−	0.207607i
$950$	1.72120	+	1.93524i	0.0558432	+	0.0627874i
$951$	−56.7320	+	7.24793i	−1.83966	+	0.235030i
$952$	26.2213	+	25.1455i	0.849836	+	0.814969i
$953$	−2.02259	+	4.88296i	−0.0655181	+	0.158175i	−0.953247	−	0.302191i	$-0.902282\pi$
$953$	−2.02259	+	4.88296i	−0.0655181	+	0.158175i	0.887729	+	0.460366i	$0.152282\pi$
$954$	−48.3865	−	9.65895i	−1.56657	−	0.312720i
$955$	−6.51586	−	9.75167i	−0.210848	−	0.315557i
$956$	12.2706	−	21.9555i	0.396859	−	0.710092i
$957$	1.22244	−	17.6165i	0.0395159	−	0.569462i
$958$	41.7924	−	5.79913i	1.35025	−	0.187361i
$959$	−40.1178			−1.29547
$960$	−31.3045	−	7.12362i	−1.01035	−	0.229914i
$961$	−6.25762			−0.201859
$962$	−11.6557	+	1.61735i	−0.375795	+	0.0521455i
$963$	9.16824	−	26.3439i	0.295443	−	0.848922i
$964$	5.69323	+	3.18185i	0.183367	+	0.102481i
$965$	15.4822	+	23.1708i	0.498391	+	0.745895i
$966$	0.354349	+	5.15738i	0.0114010	+	0.165936i
$967$	6.06584	−	14.6442i	0.195064	−	0.470927i	−0.795838	−	0.605510i	$-0.792969\pi$
$967$	6.06584	−	14.6442i	0.195064	−	0.470927i	0.990902	+	0.134583i	$0.0429694\pi$
$968$	−0.379826	−	18.1355i	−0.0122081	−	0.582897i
$969$	−4.32005	−	33.8145i	−0.138780	−	1.08628i
$970$	−27.4975	−	30.9169i	−0.882892	−	0.992681i
$971$	−15.1315	−	3.00983i	−0.485592	−	0.0965902i	−0.0537777	−	0.998553i	$-0.517126\pi$
$971$	−15.1315	−	3.00983i	−0.485592	−	0.0965902i	−0.431814	+	0.901963i	$0.642126\pi$
$972$	31.0992	+	2.20060i	0.997506	+	0.0705841i
$973$	−11.7853	−	7.87467i	−0.377819	−	0.252450i
$974$	−11.6774	+	44.8299i	−0.374167	+	1.43644i
$975$	1.59957	−	0.915358i	0.0512271	−	0.0293149i
$976$	−30.8509	−	33.2580i	−0.987514	−	1.06456i
$977$	−28.1339	−	28.1339i	−0.900083	−	0.900083i	0.0953596	−	0.995443i	$-0.469600\pi$
$977$	−28.1339	−	28.1339i	−0.900083	−	0.900083i	−0.995443	+	0.0953596i	$0.969600\pi$
$978$	45.1602	−	12.2532i	1.44406	−	0.391814i
$979$	−2.14238	−	1.43149i	−0.0684709	−	0.0457508i
$980$	−1.29722	−	16.3013i	−0.0414382	−	0.520726i
$981$	11.2822	−	12.6677i	0.360212	−	0.404450i
$982$	32.5210	+	1.90366i	1.03779	+	0.0607483i
$983$	−1.11891	−	2.70129i	−0.0356877	−	0.0861577i	0.905031	−	0.425346i	$-0.139848\pi$
$983$	−1.11891	−	2.70129i	−0.0356877	−	0.0861577i	−0.940718	+	0.339188i	$0.889848\pi$
$984$	22.2838	+	24.5495i	0.710382	+	0.782610i
$985$	4.17411	−	10.0772i	0.132998	−	0.321086i
$986$	−12.3088	−	5.96358i	−0.391992	−	0.189919i
$987$	−13.2873	−	39.6415i	−0.422940	−	1.26180i
$988$	17.8039	+	22.5437i	0.566416	+	0.717211i
$989$	−1.22640	−	6.16551i	−0.0389971	−	0.196052i
$990$	−37.9083	+	15.6719i	−1.20480	+	0.498085i
$991$	32.1801			1.02224			0.511118	−	0.859511i	$-0.329232\pi$
$991$	32.1801			1.02224			0.511118	+	0.859511i	$0.329232\pi$
$992$	−17.8980	−	21.7122i	−0.568261	−	0.689363i
$993$	5.19788	−	19.1057i	0.164950	−	0.606301i
$994$	38.2046	+	28.8940i	1.21178	+	0.916461i
$995$	−2.13167	+	0.424015i	−0.0675784	+	0.0134422i
$996$	16.2423	−	40.3640i	0.514657	−	1.27898i
$997$	6.50372	+	9.73350i	0.205975	+	0.308263i	0.920046	−	0.391810i	$-0.128151\pi$
$997$	6.50372	+	9.73350i	0.205975	+	0.308263i	−0.714071	+	0.700073i	$0.753151\pi$
$998$	−0.542104	−	0.262648i	−0.0171600	−	0.00831398i
$999$	−5.56829	−	13.8925i	−0.176173	−	0.439539i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.16	yes	240
3.2	odd	2	inner	192.2.s.a.107.15	✓	240
4.3	odd	2		768.2.s.a.335.29		240
12.11	even	2		768.2.s.a.335.26		240
64.3	odd	16	inner	192.2.s.a.131.15	yes	240
64.61	even	16		768.2.s.a.431.26		240
192.125	odd	16		768.2.s.a.431.29		240
192.131	even	16	inner	192.2.s.a.131.16	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.15	✓	240	3.2	odd	2	inner
192.2.s.a.107.16	yes	240	1.1	even	1	trivial
192.2.s.a.131.15	yes	240	64.3	odd	16	inner
192.2.s.a.131.16	yes	240	192.131	even	16	inner
768.2.s.a.335.26		240	12.11	even	2
768.2.s.a.335.29		240	4.3	odd	2
768.2.s.a.431.26		240	64.61	even	16
768.2.s.a.431.29		240	192.125	odd	16

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.194374 + 1.40079i) q^{2} +(-1.72790 - 0.119901i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(-1.28724 - 1.92649i) q^{5} +(-0.167902 - 2.44373i) q^{6} +(1.24174 - 2.99783i) q^{7} +(-1.13687 - 2.58989i) q^{8} +(2.97125 + 0.414354i) q^{9} +O(q^{10})\)	\(q+(0.194374 + 1.40079i) q^{2} +(-1.72790 - 0.119901i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(-1.28724 - 1.92649i) q^{5} +(-0.167902 - 2.44373i) q^{6} +(1.24174 - 2.99783i) q^{7} +(-1.13687 - 2.58989i) q^{8} +(2.97125 + 0.414354i) q^{9} +(2.44840 - 2.17761i) q^{10} +(-4.09274 - 0.814097i) q^{11} +(3.39052 - 0.710194i) q^{12} +(2.40194 + 1.60493i) q^{13} +(4.44071 + 1.15672i) q^{14} +(1.99322 + 3.48311i) q^{15} +(3.40692 - 2.09593i) q^{16} +(-2.79904 - 2.79904i) q^{17} +(-0.00288996 + 4.24264i) q^{18} +(-4.13408 - 2.76230i) q^{19} +(3.52629 + 3.00643i) q^{20} +(-2.50505 + 5.03106i) q^{21} +(0.344856 - 5.89132i) q^{22} +(-0.248899 - 0.600896i) q^{23} +(1.65386 + 4.61137i) q^{24} +(-0.140954 + 0.340294i) q^{25} +(-1.78129 + 3.67658i) q^{26} +(-5.08432 - 1.07222i) q^{27} +(-0.757168 + 6.44534i) q^{28} +(-0.476649 - 2.39628i) q^{29} +(-4.49168 + 3.46912i) q^{30} -4.97417 q^{31} +(3.59818 + 4.36499i) q^{32} +(6.97422 + 1.89740i) q^{33} +(3.37682 - 4.46494i) q^{34} +(-7.37371 + 1.46672i) q^{35} +(-5.94362 + 0.820612i) q^{36} +(1.60025 + 2.39495i) q^{37} +(3.06585 - 6.32791i) q^{38} +(-3.95787 - 3.06114i) q^{39} +(-3.52596 + 5.52397i) q^{40} +(6.25255 - 2.58989i) q^{41} +(-7.53438 - 2.53114i) q^{42} +(9.47949 + 1.88559i) q^{43} +(8.31954 - 0.662050i) q^{44} +(-3.02645 - 6.25744i) q^{45} +(0.793351 - 0.465455i) q^{46} +(-5.26021 + 5.26021i) q^{47} +(-6.13810 + 3.21305i) q^{48} +(-2.49533 - 2.49533i) q^{49} +(-0.504079 - 0.131303i) q^{50} +(4.50085 + 5.17207i) q^{51} +(-5.49636 - 1.78059i) q^{52} +(-2.26887 + 11.4064i) q^{53} +(0.513692 - 7.33049i) q^{54} +(3.69998 + 8.93255i) q^{55} +(-9.17576 + 0.192175i) q^{56} +(6.81206 + 5.26866i) q^{57} +(3.26404 - 1.13346i) q^{58} +(8.56253 - 5.72130i) q^{59} +(-5.73258 - 5.61760i) q^{60} +(-2.21251 - 11.1230i) q^{61} +(-0.966852 - 6.96778i) q^{62} +(4.93169 - 8.39278i) q^{63} +(-5.41505 + 5.88874i) q^{64} -6.69323i q^{65} +(-1.30225 + 10.1382i) q^{66} +(-9.19028 + 1.82806i) q^{67} +(6.91082 + 3.86235i) q^{68} +(0.358024 + 1.06813i) q^{69} +(-3.48783 - 10.0439i) q^{70} +(9.64379 + 3.99459i) q^{71} +(-2.30479 - 8.16627i) q^{72} +(-10.4843 + 4.34273i) q^{73} +(-3.04377 + 2.70714i) q^{74} +(0.284356 - 0.571092i) q^{75} +(9.46001 + 3.06464i) q^{76} +(-7.52266 + 11.2585i) q^{77} +(3.51871 - 6.13916i) q^{78} +(4.55477 - 4.55477i) q^{79} +(-8.42329 - 3.86542i) q^{80} +(8.65662 + 2.46230i) q^{81} +(4.84324 + 8.25512i) q^{82} +(6.97801 - 10.4433i) q^{83} +(2.08111 - 11.0461i) q^{84} +(-1.78929 + 8.99536i) q^{85} +(-0.798746 + 13.6453i) q^{86} +(0.536283 + 4.19767i) q^{87} +(2.54450 + 11.5253i) q^{88} +(0.570461 + 0.236293i) q^{89} +(8.17711 - 5.45572i) q^{90} +(7.79390 - 5.20772i) q^{91} +(0.806213 + 1.02085i) q^{92} +(8.59485 + 0.596410i) q^{93} +(-8.39090 - 6.34600i) q^{94} +11.5200i q^{95} +(-5.69391 - 7.97367i) q^{96} -12.6274i q^{97} +(3.01041 - 3.98047i) q^{98} +(-11.8232 - 4.11473i) 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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