LMFDB - Embedded newform 192.2.s.a.107.15

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			107.15
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.194374 - 1.40079i) q^{2} +(-1.55048 + 0.772012i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(1.28724 + 1.92649i) q^{5} +(1.38280 + 2.02185i) q^{6} +(1.24174 - 2.99783i) q^{7} +(1.13687 + 2.58989i) q^{8} +(1.80800 - 2.39398i) q^{9} +O(q^{10})$	\(q+(-0.194374 - 1.40079i) q^{2} +(-1.55048 + 0.772012i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(1.28724 + 1.92649i) q^{5} +(1.38280 + 2.02185i) q^{6} +(1.24174 - 2.99783i) q^{7} +(1.13687 + 2.58989i) q^{8} +(1.80800 - 2.39398i) q^{9} +(2.44840 - 2.17761i) q^{10} +(4.09274 + 0.814097i) q^{11} +(2.56340 - 2.33001i) q^{12} +(2.40194 + 1.60493i) q^{13} +(-4.44071 - 1.15672i) q^{14} +(-3.48311 - 1.99322i) q^{15} +(3.40692 - 2.09593i) q^{16} +(2.79904 + 2.79904i) q^{17} +(-3.70490 - 2.06730i) q^{18} +(-4.13408 - 2.76230i) q^{19} +(-3.52629 - 3.00643i) q^{20} +(0.389060 + 5.60673i) q^{21} +(0.344856 - 5.89132i) q^{22} +(0.248899 + 0.600896i) q^{23} +(-3.76212 - 3.13790i) q^{24} +(-0.140954 + 0.340294i) q^{25} +(1.78129 - 3.67658i) q^{26} +(-0.955086 + 5.10762i) q^{27} +(-0.757168 + 6.44534i) q^{28} +(0.476649 + 2.39628i) q^{29} +(-2.11506 + 5.26654i) 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} +(-2.17572 + 5.59162i) q^{36} +(1.60025 + 2.39495i) q^{37} +(-3.06585 + 6.32791i) q^{38} +(-4.96319 - 0.634084i) q^{39} +(-3.52596 + 5.52397i) q^{40} +(-6.25255 + 2.58989i) q^{41} +(7.77824 - 1.63480i) q^{42} +(9.47949 + 1.88559i) q^{43} +(-8.31954 + 0.662050i) q^{44} +(6.93929 + 0.401458i) q^{45} +(0.793351 - 0.465455i) q^{46} +(5.26021 - 5.26021i) q^{47} +(-3.66429 + 5.87988i) q^{48} +(-2.49533 - 2.49533i) q^{49} +(0.504079 + 0.131303i) q^{50} +(-6.50077 - 2.17898i) q^{51} +(-5.49636 - 1.78059i) q^{52} +(2.26887 - 11.4064i) q^{53} +(7.34036 + 0.345086i) q^{54} +(3.69998 + 8.93255i) q^{55} +(9.17576 - 0.192175i) q^{56} +(8.54235 + 1.09135i) q^{57} +(3.26404 - 1.13346i) q^{58} +(-8.56253 + 5.72130i) q^{59} +(7.78845 + 1.93908i) 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} +(4.01347 + 9.40062i) q^{66} +(-9.19028 + 1.82806i) q^{67} +(-6.91082 - 3.86235i) q^{68} +(-0.849813 - 0.739526i) q^{69} +(-3.48783 - 10.0439i) q^{70} +(-9.64379 - 3.99459i) q^{71} +(8.25561 + 1.96086i) q^{72} +(-10.4843 + 4.34273i) q^{73} +(3.04377 - 2.70714i) q^{74} +(-0.0441635 - 0.636438i) q^{75} +(9.46001 + 3.06464i) q^{76} +(7.52266 - 11.2585i) q^{77} +(0.0764973 + 7.07565i) q^{78} +(4.55477 - 4.55477i) q^{79} +(8.42329 + 3.86542i) q^{80} +(-2.46230 - 8.65662i) q^{81} +(4.84324 + 8.25512i) q^{82} +(-6.97801 + 10.4433i) q^{83} +(-3.80190 - 10.5779i) q^{84} +(-1.78929 + 8.99536i) q^{85} +(0.798746 - 13.6453i) q^{86} +(-2.58899 - 3.34741i) q^{87} +(2.54450 + 11.5253i) q^{88} +(-0.570461 - 0.236293i) q^{89} +(-0.786462 - 9.79854i) q^{90} +(7.79390 - 5.20772i) q^{91} +(-0.806213 - 1.02085i) q^{92} +(7.71237 - 3.84012i) q^{93} +(-8.39090 - 6.34600i) q^{94} -11.5200i q^{95} +(8.94874 + 3.99000i) q^{96} -12.6274i q^{97} +(-3.01041 + 3.98047i) q^{98} +(9.34859 - 8.32606i) 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
$3$	−1.55048	+	0.772012i	−0.895172	+	0.445721i
$3$	−1.55048	+	0.772012i	−0.895172	+	0.445721i
$4$	−1.92444	+	0.544556i	−0.962219	+	0.272278i
$5$	1.28724	+	1.92649i	0.575670	+	0.861551i	0.999013	−	0.0444184i	$-0.0141435\pi$
$5$	1.28724	+	1.92649i	0.575670	+	0.861551i	−0.423343	+	0.905969i	$0.639143\pi$
$6$	1.38280	+	2.02185i	0.564527	+	0.825415i
$7$	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
$9$	1.80800	−	2.39398i	0.602665	−	0.797994i
$10$	2.44840	−	2.17761i	0.774253	−	0.688621i
$11$	4.09274	+	0.814097i	1.23401	+	0.245459i	0.768654	−	0.639665i	$-0.220927\pi$
$11$	4.09274	+	0.814097i	1.23401	+	0.245459i	0.465354	+	0.885125i	$0.345927\pi$
$12$	2.56340	−	2.33001i	0.739991	−	0.672617i
$13$	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
$15$	−3.48311	−	1.99322i	−0.899335	−	0.514648i
$16$	3.40692	−	2.09593i	0.851729	−	0.523982i
$17$	2.79904	+	2.79904i	0.678868	+	0.678868i	0.959744	−	0.280876i	$-0.0906250\pi$
$17$	2.79904	+	2.79904i	0.678868	+	0.678868i	−0.280876	+	0.959744i	$0.590625\pi$
$18$	−3.70490	−	2.06730i	−0.873253	−	0.487267i
$19$	−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
$21$	0.389060	+	5.60673i	0.0848999	+	1.22349i
$22$	0.344856	−	5.89132i	0.0735236	−	1.25603i
$23$	0.248899	+	0.600896i	0.0518991	+	0.125296i	0.947703	−	0.319155i	$-0.103399\pi$
$23$	0.248899	+	0.600896i	0.0518991	+	0.125296i	−0.895803	+	0.444450i	$0.853399\pi$
$24$	−3.76212	−	3.13790i	−0.767940	−	0.640521i
$25$	−0.140954	+	0.340294i	−0.0281909	+	0.0680588i
$26$	1.78129	−	3.67658i	0.349340	−	0.721036i
$27$	−0.955086	+	5.10762i	−0.183806	+	0.982962i
$28$	−0.757168	+	6.44534i	−0.143091	+	1.21806i
$29$	0.476649	+	2.39628i	0.0885115	+	0.444977i	0.999472	+	0.0324843i	$0.0103419\pi$
$29$	0.476649	+	2.39628i	0.0885115	+	0.444977i	−0.910961	+	0.412493i	$0.864658\pi$
$30$	−2.11506	+	5.26654i	−0.386156	+	0.961535i
$31$	−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
$36$	−2.17572	+	5.59162i	−0.362620	+	0.931937i
$37$	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
$39$	−4.96319	−	0.634084i	−0.794747	−	0.101535i
$40$	−3.52596	+	5.52397i	−0.557504	+	0.873416i
$41$	−6.25255	+	2.58989i	−0.976485	+	0.404473i	−0.813122	−	0.582093i	$-0.802234\pi$
$41$	−6.25255	+	2.58989i	−0.976485	+	0.404473i	−0.163363	+	0.986566i	$0.552234\pi$
$42$	7.77824	−	1.63480i	1.20021	−	0.252255i
$43$	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
$45$	6.93929	+	0.401458i	1.03445	+	0.0598458i
$46$	0.793351	−	0.465455i	0.116973	−	0.0686276i
$47$	5.26021	−	5.26021i	0.767280	−	0.767280i	−0.210347	−	0.977627i	$-0.567459\pi$
$47$	5.26021	−	5.26021i	0.767280	−	0.767280i	0.977627	+	0.210347i	$0.0674594\pi$
$48$	−3.66429	+	5.87988i	−0.528894	+	0.848688i
$49$	−2.49533	−	2.49533i	−0.356476	−	0.356476i
$50$	0.504079	+	0.131303i	0.0712875	+	0.0185691i
$51$	−6.50077	−	2.17898i	−0.910289	−	0.305118i
$52$	−5.49636	−	1.78059i	−0.762208	−	0.246923i
$53$	2.26887	−	11.4064i	0.311653	−	1.56678i	−0.434289	−	0.900773i	$-0.643001\pi$
$53$	2.26887	−	11.4064i	0.311653	−	1.56678i	0.745942	−	0.666011i	$-0.231999\pi$
$54$	7.34036	+	0.345086i	0.998897	+	0.0469602i
$55$	3.69998	+	8.93255i	0.498905	+	1.20446i
$56$	9.17576	−	0.192175i	1.22616	−	0.0256804i
$57$	8.54235	+	1.09135i	1.13146	+	0.144553i
$58$	3.26404	−	1.13346i	0.428589	−	0.148831i
$59$	−8.56253	+	5.72130i	−1.11475	+	0.744850i	−0.969633	−	0.244565i	$-0.921355\pi$
$59$	−8.56253	+	5.72130i	−1.11475	+	0.744850i	−0.145114	+	0.989415i	$0.546355\pi$
$60$	7.78845	+	1.93908i	1.00548	+	0.250335i
$61$	−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
$66$	4.01347	+	9.40062i	0.494024	+	1.15714i
$67$	−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
$69$	−0.849813	−	0.739526i	−0.102306	−	0.0890285i
$70$	−3.48783	−	10.0439i	−0.416876	−	1.20048i
$71$	−9.64379	−	3.99459i	−1.14451	−	0.474070i	−0.271819	−	0.962348i	$-0.587625\pi$
$71$	−9.64379	−	3.99459i	−1.14451	−	0.474070i	−0.872688	+	0.488278i	$0.837625\pi$
$72$	8.25561	+	1.96086i	0.972933	+	0.231089i
$73$	−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
$75$	−0.0441635	−	0.636438i	−0.00509956	−	0.0734896i
$76$	9.46001	+	3.06464i	1.08514	+	0.351538i
$77$	7.52266	−	11.2585i	0.857287	−	1.28302i
$78$	0.0764973	+	7.07565i	0.00866162	+	0.801160i
$79$	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
$81$	−2.46230	−	8.65662i	−0.273589	−	0.961847i
$82$	4.84324	+	8.25512i	0.534846	+	0.911625i
$83$	−6.97801	+	10.4433i	−0.765936	+	1.14630i	0.219393	+	0.975637i	$0.429592\pi$
$83$	−6.97801	+	10.4433i	−0.765936	+	1.14630i	−0.985329	+	0.170667i	$0.945408\pi$
$84$	−3.80190	−	10.5779i	−0.414822	−	1.15415i
$85$	−1.78929	+	8.99536i	−0.194076	+	0.975684i
$86$	0.798746	−	13.6453i	0.0861310	−	1.47141i
$87$	−2.58899	−	3.34741i	−0.277569	−	0.358880i
$88$	2.54450	+	11.5253i	0.271245	+	1.22860i
$89$	−0.570461	−	0.236293i	−0.0604687	−	0.0250470i	0.352244	−	0.935908i	$-0.385419\pi$
$89$	−0.570461	−	0.236293i	−0.0604687	−	0.0250470i	−0.412713	+	0.910861i	$0.635419\pi$
$90$	−0.786462	−	9.79854i	−0.0829004	−	1.03286i
$91$	7.79390	−	5.20772i	0.817022	−	0.545917i
$92$	−0.806213	−	1.02085i	−0.0840535	−	0.106431i
$93$	7.71237	−	3.84012i	0.799735	−	0.398202i
$94$	−8.39090	−	6.34600i	−0.865456	−	0.654540i
$95$		−	11.5200i		−	1.18193i
$96$	8.94874	+	3.99000i	0.913326	+	0.407228i
$97$		−	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
$99$	9.34859	−	8.32606i	0.939569	−	0.836801i
$100$	0.0859486	−	0.731632i	0.00859486	−	0.0731632i
$101$	−11.8378	+	7.90978i	−1.17791	+	0.787052i	−0.981121	−	0.193394i	$-0.938050\pi$
$101$	−11.8378	+	7.90978i	−1.17791	+	0.787052i	−0.196786	+	0.980447i	$0.563050\pi$
$102$	−1.78871	+	9.52976i	−0.177109	+	0.943587i
$103$	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
$105$	−10.3005	+	7.96671i	−1.00522	+	0.777472i
$106$	−16.4189	−	0.961105i	−1.59475	−	0.0933508i
$107$	−1.81393	+	9.11925i	−0.175359	+	0.881592i	0.788470	+	0.615073i	$0.210873\pi$
$107$	−1.81393	+	9.11925i	−0.175359	+	0.881592i	−0.963830	+	0.266519i	$0.914127\pi$
$108$	−0.943385	−	10.3494i	−0.0907773	−	0.995871i
$109$	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
$111$	−4.33009	−	2.47791i	−0.410994	−	0.235193i
$112$	−2.05273	−	12.8160i	−0.193965	−	1.21100i
$113$	4.32949	−	4.32949i	0.407284	−	0.407284i	−0.473507	−	0.880790i	$-0.657012\pi$
$113$	4.32949	−	4.32949i	0.407284	−	0.407284i	0.880790	+	0.473507i	$0.157012\pi$
$114$	−0.131663	−	12.1782i	−0.0123313	−	1.14059i
$115$	−0.837226	+	1.25300i	−0.0780718	+	0.116843i
$116$	−2.22219	−	4.35192i	−0.206325	−	0.404066i
$117$	8.18487	−	2.84850i	0.756691	−	0.263344i
$118$	9.67869	+	10.8823i	0.890996	+	1.00179i
$119$	11.8668	−	4.91538i	1.08782	−	0.450592i
$120$	1.20238	−	11.2869i	0.109762	−	1.03035i
$121$	5.92509	+	2.45425i	0.538645	+	0.223114i
$122$	−15.1510	+	5.26130i	−1.37171	+	0.476336i
$123$	7.69505	−	8.84263i	0.693840	−	0.797313i
$124$	9.57248	−	2.70872i	0.859634	−	0.243250i
$125$	10.5252	−	2.09360i	0.941404	−	0.187257i
$126$	−10.7980	+	8.53962i	−0.961958	+	0.760770i
$127$		−	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	$0.0666711\pi$
$131$	1.76291	+	8.86276i	0.154026	+	0.774343i	−0.824118	+	0.566418i	$0.808329\pi$
$132$	12.3882	−	7.44928i	1.07825	−	0.648377i
$133$	−13.4144	+	8.96321i	−1.16318	+	0.777209i
$134$	4.34709	+	12.5183i	0.375531	+	1.08142i
$135$	−11.0692	+	4.73476i	−0.952684	+	0.407503i
$136$	−4.06706	+	10.4314i	−0.348748	+	0.894482i
$137$	4.73134	+	11.4225i	0.404226	+	0.975887i	0.986628	+	0.162987i	$0.0521128\pi$
$137$	4.73134	+	11.4225i	0.404226	+	0.975887i	−0.582402	+	0.812901i	$0.697887\pi$
$138$	−0.870741	+	1.33416i	−0.0741224	+	0.113571i
$139$	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
$141$	−4.09492	+	12.2168i	−0.344855	+	1.02884i
$142$	−3.72108	+	14.2854i	−0.312266	+	1.19880i
$143$	8.52396	+	8.52396i	0.712809	+	0.712809i
$144$	1.14208	−	11.9455i	0.0951731	−	0.995461i
$145$	−4.00283	+	4.00283i	−0.332417	+	0.332417i
$146$	8.12114	+	13.8422i	0.672111	+	1.14559i
$147$	5.79540	+	1.94255i	0.477996	+	0.160219i
$148$	−4.38377	−	3.73750i	−0.360343	−	0.307220i
$149$	5.16810	+	1.02800i	0.423387	+	0.0842170i	0.402185	−	0.915558i	$-0.368251\pi$
$149$	5.16810	+	1.02800i	0.423387	+	0.0842170i	0.0212019	+	0.999775i	$0.493251\pi$
$150$	−0.882934	+	0.185571i	−0.0720912	+	0.0151518i
$151$	−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
$153$	11.7615	−	1.64020i	0.950863	−	0.132602i
$154$	−17.2330	−	8.34933i	−1.38867	−	0.672808i
$155$	−6.40294	−	9.58268i	−0.514296	−	0.769699i
$156$	9.89665	−	1.48248i	0.792366	−	0.118694i
$157$	−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
$162$	−11.6475	+	5.13179i	−0.915115	+	0.403192i
$163$	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
$165$	−12.6328	−	10.9933i	−0.983461	−	0.855830i
$166$	15.9853	+	7.74482i	1.24070	+	0.601115i
$167$	2.91186	−	7.02984i	0.225326	−	0.543986i	−0.770271	−	0.637716i	$-0.779879\pi$
$167$	2.91186	−	7.02984i	0.225326	−	0.543986i	0.995598	+	0.0937307i	$0.0298793\pi$
$168$	−14.0785	+	7.38176i	−1.08618	+	0.569515i
$169$	−1.78135	−	4.30056i	−0.137027	−	0.330812i
$170$	12.9484	+	0.757953i	0.993098	+	0.0581323i
$171$	−14.0873	+	4.90268i	−1.07728	+	0.374917i
$172$	−19.2695	+	1.53342i	−1.46928	+	0.116922i
$173$	−18.6434	−	12.4571i	−1.41743	−	0.947097i	−0.999250	−	0.0387328i	$-0.987668\pi$
$173$	−18.6434	−	12.4571i	−1.41743	−	0.947097i	−0.418181	−	0.908364i	$-0.637332\pi$
$174$	−4.18579	+	4.27729i	−0.317324	+	0.324260i
$175$	0.845115	+	0.845115i	0.0638847	+	0.0638847i
$176$	15.6499	−	5.80453i	1.17966	−	0.437533i
$177$	8.85915	−	15.4812i	0.665894	−	1.16363i
$178$	−0.220114	+	0.845027i	−0.0164982	+	0.0633374i
$179$	−10.4696	−	6.99557i	−0.782536	−	0.522874i	0.0989453	−	0.995093i	$-0.468453\pi$
$179$	−10.4696	−	6.99557i	−0.782536	−	0.522874i	−0.881481	+	0.472219i	$0.843453\pi$
$180$	−13.5729	+	3.00626i	−1.01166	+	0.224073i
$181$	−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
$183$	12.0176	+	15.5380i	0.888365	+	1.14860i
$184$	−1.27329	+	1.32776i	−0.0938680	+	0.0978840i
$185$	−2.55393	+	6.16573i	−0.187768	+	0.453313i
$186$	−6.87829	−	10.0570i	−0.504341	−	0.737415i
$187$	9.17707	+	13.7345i	0.671094	+	1.00436i
$188$	−7.25846	+	12.9874i	−0.529377	+	0.947204i
$189$	14.1258	+	9.20555i	1.02750	+	0.669605i
$190$	−16.1371	+	2.23919i	−1.17071	+	0.162448i
$191$	−5.06189			−0.366266			−0.183133	−	0.983088i	$-0.558624\pi$
$191$	−5.06189			−0.366266			−0.183133	+	0.983088i	$0.558624\pi$
$192$	3.84976	−	13.3109i	0.277833	−	0.960630i
$193$	−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
$195$	−5.16725	−	10.3777i	−0.370035	−	0.743165i
$196$	6.16096	+	3.44326i	0.440069	+	0.245947i
$197$	−2.61543	−	3.91427i	−0.186342	−	0.278880i	0.726523	−	0.687142i	$-0.241135\pi$
$197$	−2.61543	−	3.91427i	−0.186342	−	0.278880i	−0.912865	+	0.408262i	$0.866135\pi$
$198$	−13.4802	−	11.4771i	−0.957997	−	0.815639i
$199$	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
$201$	12.8381	−	9.92938i	0.905529	−	0.700364i
$202$	13.3809	+	15.0449i	0.941478	+	1.05855i
$203$	7.77551	+	1.54665i	0.545734	+	0.108553i
$204$	13.6969	+	0.653271i	0.958974	+	0.0457381i
$205$	−13.0379	−	8.71166i	−0.910607	−	0.608448i
$206$	5.23448	−	20.0954i	0.364703	−	1.40011i
$207$	1.88854	+	0.490558i	0.131263	+	0.0340961i
$208$	11.5470	+	0.433551i	0.800642	+	0.0300614i
$209$	−14.6709	−	14.6709i	−1.01481	−	1.01481i
$210$	13.1619	+	12.8803i	0.908255	+	0.888826i
$211$	−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
$213$	18.0364	−	1.25157i	1.23583	−	0.0857565i
$214$	13.1268	+	0.768392i	0.897327	+	0.0525262i
$215$	8.56979	+	20.6893i	0.584455	+	1.41100i
$216$	−14.3140	+	3.33314i	−0.973943	+	0.226792i
$217$	−6.17664	+	14.9117i	−0.419298	+	1.01227i
$218$	−7.19649	−	3.48668i	−0.487408	−	0.236148i
$219$	12.9031	−	14.8273i	0.871909	−	1.00194i
$220$	−11.9847	−	15.1753i	−0.808005	−	1.02312i
$221$	2.23088	+	11.2154i	0.150065	+	0.754430i
$222$	−2.62938	+	6.54720i	−0.176472	+	0.439419i
$223$	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	−0.385900	−	0.922540i	$-0.626109\pi$
$227$	−5.86667	+	1.16695i	−0.389385	+	0.0774535i	−0.00348449	+	0.999994i	$0.501109\pi$
$228$	−17.0335	+	2.55156i	−1.12807	+	0.168981i
$229$	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
$231$	−2.97210	+	23.2636i	−0.195550	+	1.53063i
$232$	−5.66420	+	3.95873i	−0.371873	+	0.259903i
$233$	10.7241	−	4.44205i	0.702557	−	0.291009i	−0.00266388	−	0.999996i	$-0.500848\pi$
$233$	10.7241	−	4.44205i	0.702557	−	0.291009i	0.705221	+	0.708988i	$0.250848\pi$
$234$	−5.58109	−	10.9116i	−0.364847	−	0.713315i
$235$	16.9048	+	3.36258i	1.10275	+	0.219351i
$236$	13.3625	−	15.6731i	0.869823	−	1.02023i
$237$	−3.54576	+	10.5784i	−0.230322	+	0.687143i
$238$	−9.19202	−	15.6675i	−0.595830	−	1.01557i
$239$	8.89250	−	8.89250i	0.575208	−	0.575208i	−0.358371	−	0.933579i	$-0.616668\pi$
$239$	8.89250	−	8.89250i	0.575208	−	0.575208i	0.933579	+	0.358371i	$0.116668\pi$
$240$	−16.0443	+	0.509604i	−1.03566	+	0.0328948i
$241$	−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
$243$	10.5008	+	11.5210i	0.673624	+	0.739074i
$244$	10.3150	+	20.2008i	0.660348	+	1.29322i
$245$	1.59514	−	8.01931i	0.101910	−	0.512335i
$246$	−13.8824	−	9.06039i	−0.885110	−	0.577669i
$247$	−5.49653	−	13.2698i	−0.349736	−	0.844336i
$248$	−5.65499	−	12.8825i	−0.359092	−	0.818043i
$249$	2.75691	−	21.5793i	0.174712	−	1.36753i
$250$	−4.97853	−	14.3367i	−0.314870	−	0.906733i
$251$	0.592935	−	0.396186i	0.0374257	−	0.0250071i	−0.536717	−	0.843763i	$-0.680336\pi$
$251$	0.592935	−	0.396186i	0.0374257	−	0.0250071i	0.574142	+	0.818755i	$0.305336\pi$
$252$	14.0611	+	13.4658i	0.885765	+	0.848266i
$253$	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	$0.237114\pi$
$257$			21.7354i			1.35582i	−0.735145	+	0.677910i	$0.762886\pi$
$258$	9.29589	+	21.7734i	0.578737	+	1.35556i
$259$	9.16675	−	1.82338i	0.569594	−	0.113299i
$260$	−3.64484	−	12.8807i	−0.226043	−	0.798827i
$261$	6.59842	+	3.19137i	0.408432	+	0.197541i
$262$	12.0722	−	4.19217i	0.745824	−	0.258993i
$263$	−23.0110	−	9.53145i	−1.41892	−	0.587735i	−0.464329	−	0.885663i	$-0.653704\pi$
$263$	−23.0110	−	9.53145i	−1.41892	−	0.587735i	−0.954588	+	0.297928i	$0.903704\pi$
$264$	−12.8428	−	15.9053i	−0.790422	−	0.978906i
$265$	24.8948	−	10.3118i	1.52927	−	0.633446i
$266$	15.1630	+	17.0486i	0.929704	+	1.04531i
$267$	1.06691	−	0.0740347i	0.0652939	−	0.00453085i
$268$	16.6906	−	8.52261i	1.01954	−	0.520601i
$269$	−5.41480	+	8.10382i	−0.330146	+	0.494099i	−0.958993	−	0.283431i	$-0.908527\pi$
$269$	−5.41480	+	8.10382i	−0.330146	+	0.494099i	0.628847	+	0.777529i	$0.283527\pi$
$270$	8.78398	+	14.5853i	0.534576	+	0.887634i
$271$	−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
$273$	−8.06389	+	14.0915i	−0.488049	+	0.852854i
$274$	15.0809	−	8.84786i	0.911068	−	0.534519i
$275$	−0.853922	+	1.27798i	−0.0514934	+	0.0770653i
$276$	2.03813	+	0.960401i	0.122681	+	0.0578093i
$277$	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
$279$	−8.99328	+	11.9081i	−0.538414	+	0.712918i
$280$	12.1816	+	17.4296i	0.727990	+	1.04162i
$281$	12.8781	+	5.33430i	0.768245	+	0.318218i	0.732161	−	0.681131i	$-0.238512\pi$
$281$	12.8781	+	5.33430i	0.768245	+	0.318218i	0.0360837	+	0.999349i	$0.488512\pi$
$282$	17.9091	+	3.36150i	1.06647	+	0.200174i
$283$	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
$285$	8.89357	+	17.8616i	0.526810	+	1.05803i
$286$	10.2835	−	13.5971i	0.608073	−	0.804015i
$287$			21.9601i			1.29626i
$288$	−16.9552	+	0.722092i	−0.999094	+	0.0425497i
$289$		−	1.33070i		−	0.0782763i
$290$	6.38519	+	4.82909i	0.374951	+	0.283574i
$291$	9.74847	+	19.5785i	0.571466	+	1.14771i
$292$	17.8115	−	14.0666i	1.04234	−	0.823186i
$293$	−6.76616	+	4.52100i	−0.395283	+	0.264120i	−0.737288	−	0.675578i	$-0.763894\pi$
$293$	−6.76616	+	4.52100i	−0.395283	+	0.264120i	0.342005	+	0.939698i	$0.388894\pi$
$294$	1.59463	−	8.49573i	0.0930005	−	0.495481i
$295$	−22.0440	−	9.13093i	−1.28345	−	0.531623i
$296$	−4.38336	+	6.86722i	−0.254778	+	0.399149i
$297$	−8.06702	+	20.1266i	−0.468096	+	1.16787i
$298$	0.435467	−	7.43925i	0.0252259	−	0.430944i
$299$	−0.366552	+	1.84278i	−0.0211983	+	0.106571i
$300$	0.431566	+	1.20074i	0.0249165	+	0.0693245i
$301$	17.4238	−	26.0765i	1.00429	−	1.50302i
$302$	1.74882	+	2.98080i	0.100633	+	0.171526i
$303$	12.2479	−	21.4029i	0.703623	−	1.22956i
$304$	−19.8741	−	0.746203i	−1.13986	−	0.0427977i
$305$	18.5804	−	18.5804i	1.06391	−	1.06391i
$306$	−4.58372	−	16.1566i	−0.262034	−	0.923614i
$307$	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
$309$	−25.3720	+	1.76060i	−1.44336	+	0.100157i
$310$	−12.1788	+	10.8318i	−0.691708	+	0.615206i
$311$	4.29715	−	1.77994i	0.243669	−	0.100931i	−0.257507	−	0.966277i	$-0.582901\pi$
$311$	4.29715	−	1.77994i	0.243669	−	0.100931i	0.501176	+	0.865345i	$0.332901\pi$
$312$	−4.00030	−	13.5750i	−0.226473	−	0.768532i
$313$	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
$315$	9.82033	−	20.3043i	0.553313	−	1.14402i
$316$	−6.28504	+	11.2457i	−0.353561	+	0.632620i
$317$	−32.3860	+	6.44197i	−1.81898	+	0.361817i	−0.982511	−	0.186202i	$-0.940382\pi$
$317$	−32.3860	+	6.44197i	−1.81898	+	0.361817i	−0.836466	+	0.548019i	$0.815382\pi$
$318$	26.1993	−	11.1854i	1.46918	−	0.627248i
$319$			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
$324$	9.45256	+	15.3183i	0.525142	+	0.851015i
$325$	−0.884711	+	0.591145i	−0.0490749	+	0.0327908i
$326$	25.5210	−	8.86234i	1.41347	−	0.490840i
$327$	−1.24115	+	9.71489i	−0.0686357	+	0.537235i
$328$	−13.8159	−	13.2490i	−0.762855	−	0.731556i
$329$	−9.23740	−	22.3010i	−0.509274	−	1.22950i
$330$	−12.9439	+	19.8327i	−0.712537	+	1.09176i
$331$	−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
$333$	8.62671	+	0.499080i	0.472741	+	0.0273494i
$334$	−10.4133	−	2.71248i	−0.569793	−	0.148421i
$335$	−15.3518	−	15.3518i	−0.838759	−	0.838759i
$336$	13.0768	+	18.2862i	0.713398	+	0.997595i
$337$	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
$339$	−3.37038	+	10.0552i	−0.183054	+	0.546124i
$340$	−1.45511	−	18.2854i	−0.0789142	−	0.991663i
$341$	−20.3580	−	4.04946i	−1.10245	−	0.219290i
$342$	9.60585	+	18.7804i	0.519425	+	1.01553i
$343$	10.4057	−	4.31017i	0.561854	−	0.232727i
$344$	5.89350	+	26.6945i	0.317756	+	1.43927i
$345$	0.330777	−	2.58910i	0.0178084	−	0.139392i
$346$	−13.8260	+	28.5369i	−0.743292	+	1.53415i
$347$	−12.0418	−	18.0219i	−0.646440	−	0.967466i	−0.999492	−	0.0318623i	$-0.989856\pi$
$347$	−12.0418	−	18.0219i	−0.646440	−	0.967466i	0.353052	−	0.935604i	$-0.385144\pi$
$348$	6.80520	+	5.03203i	0.364797	+	0.269745i
$349$	−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	$-0.305932\pi$
$353$	21.5167			1.14522			0.572608	+	0.819829i	$0.305932\pi$
$354$	−23.4079	−	9.40069i	−1.24411	−	0.499641i
$355$	−4.71832	−	23.7206i	−0.250423	−	1.25896i
$356$	1.22649	+	0.144082i	0.0650039	+	0.00763635i
$357$	−14.6045	+	16.7825i	−0.772952	+	0.888223i
$358$	−7.76432	+	16.0255i	−0.410357	+	0.846975i
$359$	2.14876	−	5.18756i	0.113407	−	0.273789i	−0.856978	−	0.515354i	$-0.827661\pi$
$359$	2.14876	−	5.18756i	0.113407	−	0.273789i	0.970385	+	0.241565i	$0.0776606\pi$
$360$	6.84936	+	18.4284i	0.360993	+	0.971262i
$361$	2.18931	+	5.28547i	0.115227	+	0.278183i
$362$	−0.423256	+	7.23066i	−0.0222459	+	0.380035i
$363$	−11.0815	+	0.768961i	−0.581626	+	0.0403600i
$364$	−12.1630	+	14.2661i	−0.637513	+	0.747749i
$365$	−21.8620	−	14.6077i	−1.14431	−	0.764602i
$366$	19.4296	−	19.8543i	1.01560	−	1.03780i
$367$	−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
$369$	−5.10444	+	19.6510i	−0.265726	+	1.02299i
$370$	9.13332	+	2.37906i	0.474819	+	0.123682i
$371$	−31.3770	−	20.9655i	−1.62901	−	1.08847i
$372$	−12.7508	+	11.5899i	−0.661099	+	0.600908i
$373$	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
$375$	−14.7029	+	11.3717i	−0.759254	+	0.587231i
$376$	19.6035	+	7.64317i	1.01097	+	0.394166i
$377$	−2.70096	+	6.52070i	−0.139107	+	0.335833i
$378$	10.1494	−	21.5767i	0.522027	−	1.10978i
$379$	−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
$381$	1.97132	+	3.95914i	0.100994	+	0.202833i
$382$	0.983902	+	7.09066i	0.0503408	+	0.362790i
$383$	27.7233			1.41660			0.708298	−	0.705913i	$-0.249463\pi$
$383$	27.7233			1.41660			0.708298	+	0.705913i	$0.249463\pi$
$384$	−19.3941	−	2.80542i	−0.989699	−	0.143164i
$385$	31.3727			1.59890
$386$	2.33784	+	16.8480i	0.118993	+	0.857542i
$387$	21.6529	−	19.2846i	1.10068	−	0.980290i
$388$	6.87631	+	24.3006i	0.349092	+	1.23367i
$389$	−4.41601	−	6.60903i	−0.223901	−	0.335091i	0.702464	−	0.711720i	$-0.252083\pi$
$389$	−4.41601	−	6.60903i	−0.223901	−	0.335091i	−0.926364	+	0.376628i	$0.877083\pi$
$390$	−13.5327	+	9.25541i	−0.685254	+	0.468666i
$391$	−0.985255	+	2.37862i	−0.0498265	+	0.120292i
$392$	3.62576	−	9.29951i	0.183129	−	0.469696i
$393$	−9.57552	−	12.3806i	−0.483021	−	0.624517i
$394$	−4.97470	+	4.42451i	−0.250622	+	0.222904i
$395$	14.6378	+	2.91164i	0.736507	+	0.146500i
$396$	−13.4568	+	21.1138i	−0.676228	+	1.06101i
$397$	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
$399$	13.8791	−	24.2534i	0.694824	−	1.21419i
$400$	0.233012	+	1.45478i	0.0116506	+	0.0727392i
$401$	−4.07015	−	4.07015i	−0.203254	−	0.203254i	0.598139	−	0.801392i	$-0.295907\pi$
$401$	−4.07015	−	4.07015i	−0.203254	−	0.203254i	−0.801392	+	0.598139i	$0.795907\pi$
$402$	−16.4044	−	16.0535i	−0.818177	−	0.800675i
$403$	−11.9477	−	7.98318i	−0.595156	−	0.397670i
$404$	18.4738	−	21.6682i	0.919107	−	1.07803i
$405$	13.5073	−	15.8867i	0.671183	−	0.789417i
$406$	0.655168	−	11.1925i	0.0325155	−	0.555475i
$407$	4.59970	+	11.1046i	0.227998	+	0.550437i
$408$	−1.74723	−	19.3135i	−0.0865007	−	0.956160i
$409$	−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
$411$	−16.1541	−	14.0577i	−0.796825	−	0.693415i
$412$	−29.1669	−	3.42639i	−1.43695	−	0.168806i
$413$	6.51904	+	32.7734i	0.320781	+	1.61268i
$414$	0.320085	−	2.74081i	0.0157313	−	0.134703i
$415$	−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	0.102634	−	0.994719i	$-0.467273\pi$
$419$	11.8338	−	2.35388i	0.578118	−	0.114995i	0.475484	+	0.879724i	$0.342273\pi$
$420$	15.4843	−	20.9406i	0.755557	−	1.02180i
$421$	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
$423$	−3.08240	−	22.1033i	−0.149872	−	1.07470i
$424$	32.1206	−	7.09146i	1.55991	−	0.344392i
$425$	−1.34704	+	0.557960i	−0.0653408	+	0.0270650i
$426$	−5.25901	−	25.0220i	−0.254800	−	1.21232i
$427$	−36.0924	−	7.17922i	−1.74663	−	0.347427i
$428$	−1.47515	−	18.5372i	−0.0713040	−	0.896030i
$429$	−19.7968	−	6.63566i	−0.955801	−	0.320373i
$430$	27.3157	−	16.0260i	1.31728	−	0.772841i
$431$	−13.3435	+	13.3435i	−0.642734	+	0.642734i	−0.951227	−	0.308493i	$-0.900176\pi$
$431$	−13.3435	+	13.3435i	−0.642734	+	0.642734i	0.308493	+	0.951227i	$0.400176\pi$
$432$	7.45131	+	19.4030i	0.358502	+	0.933529i
$433$	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
$435$	3.11609	−	9.29656i	0.149405	−	0.445736i
$436$	−3.48530	+	10.7585i	−0.166916	+	0.515239i
$437$	0.630888	−	3.17169i	0.0301795	−	0.151723i
$438$	−23.2780	−	15.1925i	−1.11227	−	0.725924i
$439$	−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
$441$	−10.4853	+	1.46223i	−0.499302	+	0.0696300i
$442$	15.2768	−	5.30499i	0.726644	−	0.252333i
$443$	−12.6978	+	8.48437i	−0.603288	+	0.403104i	−0.819365	−	0.573272i	$-0.805674\pi$
$443$	−12.6978	+	8.48437i	−0.603288	+	0.403104i	0.216077	+	0.976376i	$0.430674\pi$
$444$	9.68235	+	2.41061i	0.459504	+	0.114402i
$445$	−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	$0.187190\pi$
$449$			23.5103i			1.10952i	−0.832010	+	0.554760i	$0.812810\pi$
$450$	1.22571	−	0.969360i	0.0577805	−	0.0456961i
$451$	−27.6985	+	5.50957i	−1.30427	+	0.259436i
$452$	−5.97418	+	10.6895i	−0.281002	+	0.502791i
$453$	2.77857	−	3.19294i	0.130548	−	0.150017i
$454$	2.77499	+	7.99117i	0.130237	+	0.375044i
$455$	20.0652	+	8.31127i	0.940671	+	0.389639i
$456$	6.88509	+	23.3645i	0.322424	+	1.09414i
$457$	−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
$459$	−16.9698	+	11.6231i	−0.792082	+	0.542522i
$460$	0.928862	−	2.86723i	0.0433084	−	0.133685i
$461$	13.7238	−	20.5391i	0.639182	−	0.956603i	−0.360533	−	0.932746i	$-0.617405\pi$
$461$	13.7238	−	20.5391i	0.639182	−	0.956603i	0.999715	−	0.0238571i	$-0.00759467\pi$
$462$	33.1652	−	0.358561i	1.54299	−	0.0166818i
$463$	−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
$465$	17.3256	+	9.91463i	0.803455	+	0.459780i
$466$	−8.30688	−	14.1588i	−0.384809	−	0.655892i
$467$	5.74856	−	8.60333i	0.266012	−	0.398115i	−0.674285	−	0.738472i	$-0.735548\pi$
$467$	5.74856	−	8.60333i	0.266012	−	0.398115i	0.940296	+	0.340357i	$0.110548\pi$
$468$	−14.2001	+	9.93889i	−0.656399	+	0.459425i
$469$	−5.93175	+	29.8209i	−0.273903	+	1.37700i
$470$	1.42441	−	24.3338i	0.0657031	−	1.12243i
$471$	6.29874	−	4.87164i	0.290231	−	0.224474i
$472$	−24.5520	−	15.6716i	−1.13010	−	0.721345i
$473$	37.2620	+	15.4344i	1.71331	+	0.709676i
$474$	15.5074	+	2.91070i	0.712278	+	0.133693i
$475$	1.52271	−	1.01744i	0.0698668	−	0.0466835i
$476$	−20.1601	+	15.9215i	−0.924039	+	0.729759i
$477$	−23.2045	−	26.0543i	−1.06246	−	1.19294i
$478$	−14.1850	−	10.7281i	−0.648807	−	0.490690i
$479$			29.8348i			1.36319i	0.731730	+	0.681594i	$0.238713\pi$
$479$			29.8348i			1.36319i	−0.731730	+	0.681594i	$0.761287\pi$
$480$	3.83246	+	22.3757i	0.174927	+	1.02131i
$481$			8.32081i			0.379396i
$482$	−2.78187	+	3.67828i	−0.126711	+	0.167541i
$483$	−3.27223	+	1.62930i	−0.148892	+	0.0741356i
$484$	−12.7390	−	1.49651i	−0.579043	−	0.0680232i
$485$	24.3265	−	16.2544i	1.10461	−	0.738075i
$486$	14.0975	−	16.9488i	0.639475	−	0.768812i
$487$	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
$489$	−20.2429	−	26.1728i	−0.915414	−	1.18358i
$490$	−11.5434	−	0.675711i	−0.521480	−	0.0305255i
$491$	−4.49395	+	22.5926i	−0.202809	+	1.01959i	0.736479	+	0.676460i	$0.236487\pi$
$491$	−4.49395	+	22.5926i	−0.202809	+	1.01959i	−0.939288	+	0.343130i	$0.888513\pi$
$492$	−9.99334	+	21.2075i	−0.450534	+	0.956107i
$493$	−5.37312	+	8.04145i	−0.241993	+	0.362169i
$494$	−17.5198	+	10.2788i	−0.788254	+	0.462465i
$495$	28.0739	+	7.29232i	1.26183	+	0.327765i
$496$	−16.9466	+	10.4255i	−0.760924	+	0.468119i
$497$	−23.9502	+	23.9502i	−1.07431	+	1.07431i
$498$	−30.7640	+	0.332600i	−1.37857	+	0.0149042i
$499$	−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
$501$	0.912336	+	13.1476i	0.0407602	+	0.587393i
$502$	−0.670226	−	0.753570i	−0.0299137	−	0.0336335i
$503$	24.8914	−	10.3103i	1.10985	−	0.459715i	0.248965	−	0.968513i	$-0.419910\pi$
$503$	24.8914	−	10.3103i	1.10985	−	0.459715i	0.860887	+	0.508797i	$0.169910\pi$
$504$	16.1297	−	22.3141i	0.718473	−	0.993947i
$505$	−30.4762	−	12.6236i	−1.35617	−	0.561745i
$506$	3.62591	−	1.25912i	0.161191	−	0.0559748i
$507$	6.08203	+	5.29272i	0.270112	+	0.235058i
$508$	1.39052	+	4.91403i	0.0616943	+	0.218025i
$509$	36.0850	−	7.17775i	1.59944	−	0.318148i	0.686778	−	0.726867i	$-0.259024\pi$
$509$	36.0850	−	7.17775i	1.59944	−	0.318148i	0.912660	+	0.408719i	$0.134024\pi$
$510$	−20.6615	+	8.82114i	−0.914905	+	0.390606i
$511$			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
$516$	28.6932	−	17.2538i	1.26315	−	0.759556i
$517$	25.8110	−	17.2463i	1.13517	−	0.758493i
$518$	−4.33596	−	12.4863i	−0.190511	−	0.548616i
$519$	38.5233	+	4.92163i	1.69098	+	0.216036i
$520$	−17.3347	+	7.60934i	−0.760178	+	0.333692i
$521$	−3.68944	−	8.90710i	−0.161637	−	0.390227i	0.822223	−	0.569166i	$-0.192734\pi$
$521$	−3.68944	−	8.90710i	−0.161637	−	0.390227i	−0.983860	+	0.178939i	$0.942734\pi$
$522$	3.18788	−	9.86334i	0.139530	−	0.431707i
$523$	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
$525$	−1.96278	−	0.657898i	−0.0856626	−	0.0287130i
$526$	−8.87884	+	34.0862i	−0.387136	+	1.48623i
$527$	−13.9229	−	13.9229i	−0.606492	−	0.606492i
$528$	−19.7838	+	21.0817i	−0.860978	+	0.917465i
$529$	15.9643	−	15.9643i	0.694101	−	0.694101i
$530$	−19.2835	−	32.8681i	−0.837623	−	1.42770i
$531$	−1.78433	+	30.8426i	−0.0774335	+	1.33846i
$532$	20.9342	−	24.5540i	0.907612	−	1.06455i
$533$	−19.1749	−	3.81412i	−0.830555	−	0.165208i
$534$	−0.311087	−	1.48013i	−0.0134621	−	0.0640515i
$535$	−19.9031	+	8.24413i	−0.860485	+	0.356425i
$536$	−15.1826	−	21.7235i	−0.655790	−	0.938314i
$537$	21.6336	+	2.76386i	0.933560	+	0.119269i
$538$	12.4043	+	6.00983i	0.534786	+	0.259102i
$539$	−8.18131	−	12.2442i	−0.352394	−	0.527395i
$540$	18.7236	−	15.1395i	0.805736	−	0.651502i
$541$	−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
$546$	21.3066	+	8.55682i	0.911839	+	0.366198i
$547$	−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
$549$	−30.6286	−	14.8137i	−1.30720	−	0.632234i
$550$	1.95617	+	0.947759i	0.0834114	+	0.0404126i
$551$	4.64874	−	11.2230i	0.198043	−	0.478118i
$552$	0.949163	−	3.04167i	0.0403990	−	0.129462i
$553$	−7.99859	−	19.3103i	−0.340135	−	0.821158i
$554$	−7.85128	−	0.459585i	−0.333569	−	0.0195259i
$555$	−0.800190	−	11.5315i	−0.0339662	−	0.489486i
$556$	0.693030	+	8.70885i	0.0293910	+	0.369337i
$557$	8.30981	+	5.55244i	0.352098	+	0.235264i	0.719023	−	0.694986i	$-0.244589\pi$
$557$	8.30981	+	5.55244i	0.352098	+	0.235264i	−0.366925	+	0.930250i	$0.619589\pi$
$558$	18.4288	+	10.2831i	0.780153	+	0.435318i
$559$	19.7429	+	19.7429i	0.835038	+	0.835038i
$560$	22.0475	−	20.4518i	0.931675	−	0.864245i
$561$	−24.8321	−	14.2102i	−1.04841	−	0.599957i
$562$	4.96906	−	19.0764i	0.209607	−	0.804691i
$563$	22.7923	+	15.2293i	0.960580	+	0.641839i	0.933797	−	0.357802i	$-0.116474\pi$
$563$	22.7923	+	15.2293i	0.960580	+	0.641839i	0.0267829	+	0.999641i	$0.491474\pi$
$564$	1.22768	−	25.7404i	0.0516947	−	1.08387i
$565$	13.9138	+	2.76762i	0.585357	+	0.116435i
$566$	−0.677475	−	0.761721i	−0.0284764	−	0.0320175i
$567$	−29.0087	−	3.36774i	−1.21825	−	0.141432i
$568$	−0.618211	−	29.5177i	−0.0259396	−	1.23853i
$569$	4.41806	−	10.6661i	0.185215	−	0.447148i	−0.803812	−	0.594883i	$-0.797198\pi$
$569$	4.41806	−	10.6661i	0.185215	−	0.447148i	0.989027	+	0.147735i	$0.0471983\pi$
$570$	23.2916	−	15.9299i	0.975580	−	0.667229i
$571$	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
$573$	7.84838	−	3.90784i	0.327871	−	0.163252i
$574$	30.7615	−	4.26848i	1.28396	−	0.178163i
$575$	−0.239565			−0.00999054
$576$	4.30716	+	23.6103i	0.179465	+	0.983764i
$577$	−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
$579$	18.6484	−	9.28536i	0.775002	−	0.385887i
$580$	5.52343	−	9.88297i	0.229348	−	0.410368i
$581$	22.6425	+	33.8868i	0.939368	+	1.40586i
$582$	25.5306	−	17.4611i	1.05828	−	0.723788i
$583$	18.5718	−	44.8362i	0.769164	−	1.85693i
$584$	−23.1665	−	22.2160i	−0.958636	−	0.919305i
$585$	16.0235	+	12.1013i	0.662489	+	0.500329i
$586$	7.64815	+	8.59921i	0.315942	+	0.355230i
$587$	−7.10112	−	1.41250i	−0.293095	−	0.0583001i	0.0463530	−	0.998925i	$-0.485240\pi$
$587$	−7.10112	−	1.41250i	−0.293095	−	0.0583001i	−0.339448	+	0.940625i	$0.610240\pi$
$588$	−12.2107	−	0.582387i	−0.503561	−	0.0240172i
$589$	20.5636	+	13.7402i	0.847309	+	0.566154i
$590$	−8.50574	+	32.6539i	−0.350176	+	1.34434i
$591$	7.07704	+	4.04987i	0.291111	+	0.166589i
$592$	10.4716	+	4.80537i	0.430378	+	0.197499i
$593$	−27.6343	−	27.6343i	−1.13480	−	1.13480i	−0.989368	−	0.145436i	$-0.953542\pi$
$593$	−27.6343	−	27.6343i	−1.13480	−	1.13480i	−0.145436	−	0.989368i	$-0.546458\pi$
$594$	29.7613	+	7.38811i	1.22112	+	0.303138i
$595$	24.7448	+	16.5339i	1.01444	+	0.677824i
$596$	−10.5055	+	0.836002i	−0.430322	+	0.0342440i
$597$	0.112474	+	1.62085i	0.00460324	+	0.0663371i
$598$	2.65260	+	0.155274i	0.108473	+	0.00634962i
$599$	5.09553	+	12.3017i	0.208198	+	0.502633i	0.993139	−	0.116936i	$-0.0373073\pi$
$599$	5.09553	+	12.3017i	0.208198	+	0.502633i	−0.784942	+	0.619569i	$0.787307\pi$
$600$	1.59810	−	0.837927i	0.0652420	−	0.0342082i
$601$	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
$603$	−12.2396	+	25.3065i	−0.498437	+	1.03056i
$604$	3.83555	−	3.02912i	0.156066	−	0.123253i
$605$	2.89891	+	14.5738i	0.117858	+	0.592510i
$606$	−32.3617	−	12.9966i	−1.31460	−	0.527950i
$607$	−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
$612$	−21.7411	+	9.56127i	−0.878833	+	0.386492i
$613$	−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
$615$	26.9406	+	3.44186i	1.08635	+	0.138789i
$616$	37.7104	+	6.68343i	1.51940	+	0.269283i
$617$	3.92159	−	1.62438i	0.157877	−	0.0653949i	−0.302345	−	0.953198i	$-0.597770\pi$
$617$	3.92159	−	1.62438i	0.157877	−	0.0653949i	0.460223	+	0.887804i	$0.347770\pi$
$618$	7.39790	+	35.1986i	0.297587	+	1.41590i
$619$	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
$621$	−3.30687	+	0.697377i	−0.132700	+	0.0279848i
$622$	−3.32858	−	5.67344i	−0.133464	−	0.227484i
$623$	−1.41673	+	1.41673i	−0.0567602	+	0.0567602i
$624$	−18.2382	+	8.24222i	−0.730111	+	0.329953i
$625$	18.8840	+	18.8840i	0.755359	+	0.755359i
$626$	2.90067	−	11.1358i	0.115934	−	0.445076i
$627$	34.0732	+	11.4209i	1.36075	+	0.456107i
$628$	8.18891	−	4.18144i	0.326773	−	0.166858i
$629$	−2.22438	+	11.1827i	−0.0886920	+	0.445885i
$630$	−30.3510	−	9.80959i	−1.20921	−	0.390824i
$631$	−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
$633$	29.4041	+	3.75659i	1.16871	+	0.149311i
$634$	15.3189	+	44.1139i	0.608390	+	1.75198i
$635$	4.91926	−	3.28695i	0.195215	−	0.130438i
$636$	−20.7609	−	34.5256i	−0.823225	−	1.36903i
$637$	−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	$0.106842\pi$
$641$			16.6789i			0.658776i	−0.944195	+	0.329388i	$0.893158\pi$
$642$	−20.9460	+	8.94263i	−0.826674	+	0.352938i
$643$	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
$645$	−29.2597	−	25.4624i	−1.15210	−	1.00258i
$646$	−26.2936	+	9.13064i	−1.03451	+	0.359240i
$647$	−33.9198	−	14.0501i	−1.33353	−	0.552364i	−0.401867	−	0.915698i	$-0.631639\pi$
$647$	−33.9198	−	14.0501i	−1.33353	−	0.552364i	−0.931659	+	0.363334i	$0.881639\pi$
$648$	19.6204	−	16.2185i	0.770761	−	0.637125i
$649$	−39.7019	+	16.4451i	−1.55844	+	0.645525i
$650$	1.00004	+	1.12439i	0.0392246	+	0.0441023i
$651$	−1.93525	−	27.8888i	−0.0758485	−	1.09305i
$652$	−17.3749	−	34.0269i	−0.680454	−	1.33260i
$653$	1.13880	−	1.70434i	0.0445647	−	0.0666958i	−0.808518	−	0.588471i	$-0.799730\pi$
$653$	1.13880	−	1.70434i	0.0445647	−	0.0666958i	0.853083	+	0.521775i	$0.174730\pi$
$654$	13.8498	−	0.149735i	0.541570	−	0.00585510i
$655$	−14.8047	+	14.8047i	−0.578468	+	0.578468i
$656$	−15.8737	+	21.9285i	−0.619764	+	0.856162i
$657$	−8.55912	+	32.9508i	−0.333923	+	1.28553i
$658$	−29.4436	+	17.2744i	−1.14783	+	0.673427i
$659$	16.5898	−	24.8284i	0.646247	−	0.967176i	−0.353253	−	0.935528i	$-0.614924\pi$
$659$	16.5898	−	24.8284i	0.646247	−	0.967176i	0.999499	−	0.0316483i	$-0.0100756\pi$
$660$	30.2975	+	14.2767i	1.17933	+	0.555720i
$661$	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
$663$	−12.1174	−	15.6670i	−0.470600	−	0.608457i
$664$	−34.9801	−	6.19954i	−1.35749	−	0.240589i
$665$	−34.5350	−	14.3049i	−1.33921	−	0.554719i
$666$	−0.977704	−	12.1812i	−0.0378853	−	0.472013i
$667$	−1.32128	+	0.882848i	−0.0511600	+	0.0341840i
$668$	−1.77554	+	15.1142i	−0.0686977	+	0.584784i
$669$	−14.3069	+	7.12365i	−0.553137	+	0.275416i
$670$	−18.5207	+	24.4887i	−0.715517	+	0.946080i
$671$		−	47.3249i		−	1.82696i
$672$	23.0734	−	21.8723i	0.890076	−	0.843741i
$673$			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
$675$	−1.60347	−	1.04495i	−0.0617176	−	0.0402202i
$676$	5.76999	+	7.30610i	0.221923	+	0.281004i
$677$	15.2628	−	10.1983i	0.586596	−	0.391951i	−0.226560	−	0.973997i	$-0.572748\pi$
$677$	15.2628	−	10.1983i	0.586596	−	0.391951i	0.813155	+	0.582047i	$0.197748\pi$
$678$	14.7404	+	2.76673i	0.566101	+	0.106256i
$679$	−37.8548	−	15.6800i	−1.45273	−	0.601741i
$680$	−25.3312	+	5.59251i	−0.971406	+	0.214463i
$681$	8.19528	−	6.33848i	0.314044	−	0.242891i
$682$	−1.71537	+	29.3044i	−0.0656851	+	1.12212i
$683$	1.49353	−	7.50848i	0.0571484	−	0.287304i	−0.941634	−	0.336638i	$-0.890710\pi$
$683$	1.49353	−	7.50848i	0.0571484	−	0.287304i	0.998782	+	0.0493343i	$0.0157100\pi$
$684$	24.4404	−	17.1062i	0.934500	−	0.654073i
$685$	−15.9149	+	23.8183i	−0.608076	+	0.910050i
$686$	−8.06025	−	13.7384i	−0.307742	−	0.524535i
$687$	−3.07561	−	1.76003i	−0.117342	−	0.0671492i
$688$	36.2479	−	13.4443i	1.38194	−	0.512559i
$689$	23.7560	−	23.7560i	0.905033	−	0.905033i
$690$	−3.69109	+	0.0399056i	−0.140517	+	0.00151918i
$691$	−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
$693$	−13.3516	−	38.3644i	−0.507185	−	1.45734i
$694$	−22.9043	+	20.3711i	−0.869435	+	0.773277i
$695$	9.35053	−	3.87312i	0.354686	−	0.146916i
$696$	5.72606	−	10.5108i	0.217046	−	0.398410i
$697$	−24.7504	−	10.2520i	−0.937488	−	0.388320i
$698$	2.14879	+	6.18790i	0.0813330	+	0.234215i
$699$	−13.1982	+	15.1664i	−0.499200	+	0.573647i
$700$	−2.08658	−	1.16616i	−0.0788655	−	0.0440766i
$701$	2.11361	−	0.420423i	0.0798300	−	0.0158792i	−0.155014	−	0.987912i	$-0.549542\pi$
$701$	2.11361	−	0.420423i	0.0798300	−	0.0158792i	0.234844	+	0.972033i	$0.424542\pi$
$702$	17.0773	+	12.6096i	0.644541	+	0.475919i
$703$		−	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
$708$	−8.61852	+	34.6168i	−0.323904	+	1.30098i
$709$	−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
$711$	−2.66903	−	19.1390i	−0.100096	−	0.717770i
$712$	−0.0365692	−	1.74606i	−0.00137049	−	0.0654365i
$713$	−1.23807	−	2.98896i	−0.0463660	−	0.111937i
$714$	26.3475	+	17.1958i	0.986031	+	0.643536i
$715$	−5.44894	+	27.3937i	−0.203779	+	1.02446i
$716$	23.9576	+	7.76125i	0.895338	+	0.290051i
$717$	−6.92256	+	20.6528i	−0.258528	+	0.771292i
$718$	−7.68436	−	2.00163i	−0.286778	−	0.0747003i
$719$	11.1322	+	11.1322i	0.415162	+	0.415162i	0.883532	−	0.468370i	$-0.155159\pi$
$719$	11.1322	+	11.1322i	0.415162	+	0.415162i	−0.468370	+	0.883532i	$0.655159\pi$
$720$	24.4830	−	13.1765i	0.912429	−	0.491060i
$721$	33.6910	−	33.6910i	1.25472	−	1.25472i
$722$	6.97830	−	4.09413i	0.259705	−	0.152368i
$723$	5.35542	+	1.79507i	0.199170	+	0.0667594i
$724$	10.2109	−	0.812561i	0.379486	−	0.0301986i
$725$	−0.882624	−	0.175565i	−0.0327798	−	0.00652031i
$726$	3.23111	+	15.3734i	0.119918	+	0.570559i
$727$	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
$729$	−25.1756	−	9.75644i	−0.932430	−	0.361350i
$730$	−16.2130	+	33.4635i	−0.600068	+	1.23854i
$731$	21.2557	+	31.8113i	0.786169	+	1.17659i
$732$	−31.5884	−	23.3577i	−1.16754	−	0.863324i
$733$	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
$738$	28.5192	+	3.33060i	1.04980	+	0.122601i
$739$	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
$741$	18.7667	+	16.3312i	0.689412	+	0.599942i
$742$	−23.2694	+	48.0278i	−0.854245	+	1.76316i
$743$	−6.33718	+	15.2993i	−0.232489	+	0.561277i	−0.996469	−	0.0839623i	$-0.973242\pi$
$743$	−6.33718	+	15.2993i	−0.232489	+	0.561277i	0.763980	+	0.645240i	$0.223242\pi$
$744$	18.7135	+	15.6085i	0.686068	+	0.572234i
$745$	4.67215	+	11.2796i	0.171174	+	0.413251i
$746$	2.44100	−	41.7006i	0.0893714	−	1.52677i
$747$	12.3849	+	35.5867i	0.453141	+	1.30205i
$748$	−25.1399	−	21.4337i	−0.919205	−	0.783692i
$749$	25.0856	+	16.7616i	0.916607	+	0.612457i
$750$	18.7872	+	18.3853i	0.686012	+	0.671337i
$751$	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
$753$	−0.613475	+	1.07203i	−0.0223563	+	0.0390671i
$754$	9.65915	+	2.51603i	0.351765	+	0.0916284i
$755$	−4.70779	−	3.14565i	−0.171334	−	0.114482i
$756$	−32.1972	−	10.0232i	−1.17100	−	0.364540i
$757$	−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
$759$	−2.87602	−	3.71852i	−0.104393	−	0.134974i
$760$	29.8355	−	13.0968i	1.08225	−	0.475069i
$761$	−14.6147	+	35.2831i	−0.529784	+	1.27901i	0.401881	+	0.915692i	$0.368357\pi$
$761$	−14.6147	+	35.2831i	−0.529784	+	1.27901i	−0.931665	+	0.363319i	$0.881643\pi$
$762$	5.16276	−	3.53097i	0.187027	−	0.127914i
$763$	−10.1935	−	15.2557i	−0.369030	−	0.552293i
$764$	9.74129	−	2.75648i	0.352428	−	0.0997261i
$765$	18.2997	+	20.5471i	0.661627	+	0.742882i
$766$	−5.38871	−	38.8346i	−0.194702	−	1.40315i
$767$	−29.7490			−1.07417
$768$	−0.160104	+	27.7124i	−0.00577727	+	0.999983i
$769$	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
$771$	−16.7800	−	33.7004i	−0.604317	−	1.21369i
$772$	23.1462	−	6.54965i	0.833048	−	0.235727i
$773$	22.6089	+	33.8367i	0.813187	+	1.21702i	0.973213	+	0.229907i	$0.0738423\pi$
$773$	22.6089	+	33.8367i	0.813187	+	1.21702i	−0.160026	+	0.987113i	$0.551158\pi$
$774$	−31.2225	−	26.5828i	−1.12227	−	0.955500i
$775$	0.701131	−	1.69268i	0.0251854	−	0.0608029i
$776$	32.7035	−	14.3557i	1.17399	−	0.515339i
$777$	−12.8052	+	9.90396i	−0.459385	+	0.355303i
$778$	−8.39952	+	7.47054i	−0.301137	+	0.267832i
$779$	33.0026	+	6.56463i	1.18244	+	0.235202i
$780$	15.5953	+	17.1575i	0.558402	+	0.614335i
$781$	−36.2175	−	24.1998i	−1.29597	−	0.865936i
$782$	3.52346	+	0.917796i	0.125999	+	0.0328203i
$783$	−12.6945	+	0.145893i	−0.453665	+	0.00521379i
$784$	−13.7314	−	3.27135i	−0.490408	−	0.116834i
$785$	−7.53205	−	7.53205i	−0.268830	−	0.268830i
$786$	−15.4814	+	15.8198i	−0.552202	+	0.564273i
$787$	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
$789$	43.0365	−	2.98637i	1.53214	−	0.106318i
$790$	1.23339	−	21.0704i	0.0438819	−	0.749652i
$791$	−7.60297	−	18.3552i	−0.270330	−	0.652636i
$792$	32.1917	+	14.7461i	1.14388	+	0.523982i
$793$	12.5373	−	30.2678i	0.445214	−	1.07484i
$794$	0.600292	−	1.23900i	0.0213035	−	0.0439704i
$795$	−30.6381	+	35.2072i	−1.08662	+	1.24867i
$796$	−0.218890	+	1.86329i	−0.00775835	+	0.0660425i
$797$	−8.93291	−	44.9088i	−0.316420	−	1.59075i	−0.732073	−	0.681227i	$-0.761447\pi$
$797$	−8.93291	−	44.9088i	−0.316420	−	1.59075i	0.415653	−	0.909523i	$-0.363553\pi$
$798$	−36.6717	−	14.7275i	−1.29816	−	0.521347i
$799$	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
$804$	−19.2990	+	26.0995i	−0.680623	+	0.920459i
$805$	2.71666	+	4.06577i	0.0957496	+	0.143299i
$806$	−8.86045	+	18.2879i	−0.312096	+	0.644165i
$807$	2.13931	−	16.7451i	0.0753074	−	0.589456i
$808$	−33.9435	−	21.6662i	−1.19413	−	0.762215i
$809$	6.78162	−	2.80904i	0.238429	−	0.0987605i	−0.260270	−	0.965536i	$-0.583811\pi$
$809$	6.78162	−	2.80904i	0.238429	−	0.0987605i	0.498699	+	0.866775i	$0.333811\pi$
$810$	−24.8795	−	15.8330i	−0.874175	−	0.556313i
$811$	−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
$813$	3.55085	−	10.5936i	0.124534	−	0.371535i
$814$	14.6612	−	8.60168i	0.513876	−	0.301489i
$815$	−31.2975	+	31.2975i	−1.09630	+	1.09630i
$816$	−26.7146	+	6.20155i	−0.935196	+	0.217098i
$817$	−33.9804	−	33.9804i	−1.18882	−	1.18882i
$818$	22.5282	+	5.86818i	0.787679	+	0.205176i
$819$	1.62416	−	28.0740i	0.0567527	−	0.980984i
$820$	29.8346	+	9.66516i	1.04187	+	0.337522i
$821$	−2.67800	+	13.4632i	−0.0934628	+	0.469869i	0.905500	+	0.424345i	$0.139496\pi$
$821$	−2.67800	+	13.4632i	−0.0934628	+	0.469869i	−0.998963	+	0.0455238i	$0.985504\pi$
$822$	−16.5520	+	25.3611i	−0.577316	+	0.884568i
$823$	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
$825$	0.337373	−	2.64073i	0.0117458	−	0.0919384i
$826$	44.6416	−	15.5021i	1.55328	−	0.539388i
$827$	30.1214	−	20.1265i	1.04742	−	0.699865i	0.0921959	−	0.995741i	$-0.470611\pi$
$827$	30.1214	−	20.1265i	1.04742	−	0.699865i	0.955226	+	0.295876i	$0.0956114\pi$
$828$	−3.90152	+	0.0843713i	−0.135587	+	0.00293211i
$829$	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
$834$	9.84051	−	4.20128i	0.340749	−	0.145478i
$835$	17.2911	−	3.43942i	0.598385	−	0.119026i
$836$	36.2224	+	20.2441i	1.25278	+	0.700158i
$837$	4.75076	−	25.4062i	0.164210	−	0.878166i
$838$	−5.59748	−	16.1191i	−0.193362	−	0.556826i
$839$	−9.89871	−	4.10018i	−0.341741	−	0.141554i	0.205211	−	0.978718i	$-0.434212\pi$
$839$	−9.89871	−	4.10018i	−0.341741	−	0.141554i	−0.546952	+	0.837164i	$0.684212\pi$
$840$	−32.3432	−	17.6200i	−1.11595	−	0.607947i
$841$	21.2776	−	8.81345i	0.733709	−	0.303912i
$842$	34.7752	−	30.9291i	1.19843	−	1.06589i
$843$	−24.0855	+	1.67133i	−0.829548	+	0.0575636i
$844$	32.5628	+	10.5490i	1.12086	+	0.363110i
$845$	5.99195	−	8.96758i	0.206129	−	0.308494i
$846$	−30.3629	+	8.61412i	−1.04390	+	0.296159i
$847$	14.7149	−	14.7149i	0.505610	−	0.505610i
$848$	−16.1771	−	43.6159i	−0.555523	−	1.49778i
$849$	−0.620110	+	1.08363i	−0.0212821	+	0.0371900i
$850$	1.04342	+	1.77846i	0.0357889	+	0.0610008i
$851$	−1.04081	+	1.55769i	−0.0356786	+	0.0533968i
$852$	−34.0284	+	12.2304i	−1.16579	+	0.419007i
$853$	−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
$855$	−27.5787	−	20.8281i	−0.943170	−	0.712306i
$856$	−25.6801	+	5.66954i	−0.877726	+	0.193781i
$857$	−45.5534	−	18.8688i	−1.55607	−	0.644547i	−0.571672	−	0.820482i	$-0.693705\pi$
$857$	−45.5534	−	18.8688i	−1.55607	−	0.644547i	−0.984402	+	0.175935i	$0.943705\pi$
$858$	−5.44718	+	29.0211i	−0.185964	+	0.990763i
$859$	−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
$861$	−16.9535	−	34.0488i	−0.577772	−	1.16038i
$862$	21.2851	+	16.0978i	0.724974	+	0.548295i
$863$		−	46.7356i		−	1.59090i	−0.606020	−	0.795450i	$-0.707235\pi$
$863$		−	46.7356i		−	1.59090i	0.606020	−	0.795450i	$-0.292765\pi$
$864$	25.7313	−	14.2092i	0.875396	−	0.483407i
$865$		−	51.9515i		−	1.76640i
$866$	23.3464	−	30.8694i	0.793343	−	1.04899i
$867$	1.02731	+	2.06322i	0.0348894	+	0.0700707i
$868$	3.76628	−	32.0602i	0.127836	−	1.08820i
$869$	22.3495	−	14.9335i	0.758156	−	0.506583i
$870$	−13.6282	−	2.55798i	−0.462041	−	0.0867238i
$871$	−25.0084	−	10.3588i	−0.847378	−	0.350995i
$872$	15.7479	+	2.79100i	0.533291	+	0.0945152i
$873$	−30.2297	−	22.8302i	−1.02312	−	0.772686i
$874$	−4.56551	−	0.267248i	−0.154431	−	0.00903980i
$875$	6.79337	−	34.1526i	0.229658	−	1.15457i
$876$	−16.7568	+	35.5607i	−0.566161	+	1.20148i
$877$	−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
$879$	7.00055	−	12.2333i	0.236123	−	0.412619i
$880$	31.3275	+	22.6775i	1.05605	+	0.764460i
$881$	−11.5082	+	11.5082i	−0.387719	+	0.387719i	−0.873873	−	0.486154i	$-0.838399\pi$
$881$	−11.5082	+	11.5082i	−0.387719	+	0.387719i	0.486154	+	0.873873i	$0.338399\pi$
$882$	4.08636	+	14.4036i	0.137595	+	0.484993i
$883$	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
$885$	41.2281	−	2.86088i	1.38587	−	0.0961675i
$886$	14.3530	+	16.1378i	0.482197	+	0.542159i
$887$	−25.8716	+	10.7164i	−0.868684	+	0.359821i	−0.772097	−	0.635504i	$-0.780792\pi$
$887$	−25.8716	+	10.7164i	−0.868684	+	0.359821i	−0.0965861	+	0.995325i	$0.530792\pi$
$888$	1.49476	−	14.0315i	0.0501608	−	0.470867i
$889$	−7.65494	−	3.17078i	−0.256738	−	0.106344i
$890$	−1.91127	+	0.663703i	−0.0640660	+	0.0222474i
$891$	−3.03022	−	37.4338i	−0.101516	−	1.25408i
$892$	−17.7575	+	5.02483i	−0.594566	+	0.168244i
$893$	−36.2764	+	7.21582i	−1.21394	+	0.241468i
$894$	5.06800	+	11.8706i	0.169499	+	0.397013i
$895$		−	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
$900$	−1.59612	−	1.52855i	−0.0532039	−	0.0509516i
$901$	38.2776	−	25.5763i	1.27521	−	0.852069i
$902$	13.1016	+	37.7289i	0.436237	+	1.25624i
$903$	−6.88389	+	53.8825i	−0.229082	+	1.79310i
$904$	16.1350	+	6.29082i	0.536641	+	0.209229i
$905$	−4.54114	−	10.9633i	−0.150953	−	0.364432i
$906$	−5.01273	−	3.27157i	−0.166537	−	0.108691i
$907$	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
$909$	−2.46687	+	42.6404i	−0.0818208	+	1.41429i
$910$	7.74221	−	29.7227i	0.256652	−	0.985297i
$911$	7.49153	+	7.49153i	0.248205	+	0.248205i	0.820234	−	0.572028i	$-0.193843\pi$
$911$	7.49153	+	7.49153i	0.248205	+	0.248205i	−0.572028	+	0.820234i	$0.693843\pi$
$912$	31.3905	−	14.1860i	1.03944	−	0.469746i
$913$	−37.0610	+	37.0610i	−1.22654	+	1.22654i
$914$	20.4219	+	34.8084i	0.675498	+	1.15136i
$915$	−14.4643	+	43.1528i	−0.478175	+	1.42659i
$916$	−3.11373	−	2.65469i	−0.102881	−	0.0877135i
$917$	28.7582	+	5.72035i	0.949678	+	0.188903i
$918$	19.5801	+	21.5119i	0.646239	+	0.709999i
$919$	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
$921$	−1.45190	+	11.3645i	−0.0478416	+	0.374473i
$922$	−31.4386	−	15.2319i	−1.03538	−	0.501637i
$923$	−16.7528	−	25.0723i	−0.551425	−	0.825266i
$924$	−6.94874	−	46.3879i	−0.228597	−	1.52605i
$925$	−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	$-0.584461\pi$
$929$	−15.9858			−0.524478			−0.262239	+	0.965003i	$0.584461\pi$
$930$	10.5207	−	26.1967i	0.344987	−	0.859023i
$931$	3.42304	+	17.2088i	0.112186	+	0.563995i
$932$	−18.2188	+	14.3883i	−0.596778	+	0.471305i
$933$	−5.28853	+	6.07722i	−0.173139	+	0.198959i
$934$	−13.1689	−	6.38027i	−0.430898	−	0.208769i
$935$	−14.6462	+	35.3590i	−0.478981	+	1.15636i
$936$	16.6825	+	17.9595i	0.545283	+	0.587025i
$937$	−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
$939$	−14.0598	+	0.975632i	−0.458824	+	0.0318386i
$940$	−34.3634	+	2.73456i	−1.12081	+	0.0891916i
$941$	−10.9476	−	7.31496i	−0.356882	−	0.238461i	0.364185	−	0.931327i	$-0.381348\pi$
$941$	−10.9476	−	7.31496i	−0.356882	−	0.238461i	−0.721066	+	0.692866i	$0.756348\pi$
$942$	−8.04848	−	7.87631i	−0.262233	−	0.256624i
$943$	−3.11251	−	3.11251i	−0.101357	−	0.101357i
$944$	−17.1804	+	37.4384i	−0.559174	+	1.21852i
$945$	0.448935	+	39.0630i	0.0146039	+	1.27072i
$946$	14.3777	−	55.1964i	0.467458	−	1.79459i
$947$	26.5315	+	17.7278i	0.862157	+	0.576075i	0.906150	−	0.422957i	$-0.139008\pi$
$947$	26.5315	+	17.7278i	0.862157	+	0.576075i	−0.0439925	+	0.999032i	$0.514008\pi$
$948$	1.06304	−	22.2884i	0.0345260	−	0.723893i
$949$	−32.1524	−	6.39551i	−1.04371	−	0.207607i
$950$	−1.72120	−	1.93524i	−0.0558432	−	0.0627874i
$951$	45.2406	−	34.9905i	1.46703	−	1.13464i
$952$	26.2213	+	25.1455i	0.849836	+	0.814969i
$953$	2.02259	−	4.88296i	0.0655181	−	0.158175i	−0.887729	−	0.460366i	$-0.847718\pi$
$953$	2.02259	−	4.88296i	0.0655181	−	0.158175i	0.953247	+	0.302191i	$0.0977182\pi$
$954$	−31.9863	+	37.5690i	−1.03559	+	1.21634i
$955$	−6.51586	−	9.75167i	−0.210848	−	0.315557i
$956$	−12.2706	+	21.9555i	−0.396859	+	0.710092i
$957$	−7.87095	−	15.8078i	−0.254432	−	0.510992i
$958$	41.7924	−	5.79913i	1.35025	−	0.187361i
$959$	40.1178			1.29547
$960$	30.5988	−	9.71774i	0.987571	−	0.313639i
$961$	−6.25762			−0.201859
$962$	11.6557	−	1.61735i	0.375795	−	0.0521455i
$963$	18.5517	+	20.8301i	0.597822	+	0.671241i
$964$	5.69323	+	3.18185i	0.183367	+	0.102481i
$965$	−15.4822	−	23.1708i	−0.498391	−	0.745895i
$966$	2.91834	+	4.26702i	0.0938962	+	0.137289i
$967$	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
$969$	20.8557	+	26.9652i	0.669982	+	0.866246i
$970$	−27.4975	−	30.9169i	−0.882892	−	0.992681i
$971$	15.1315	+	3.00983i	0.485592	+	0.0965902i	0.431814	−	0.901963i	$-0.357874\pi$
$971$	15.1315	+	3.00983i	0.485592	+	0.0965902i	0.0537777	+	0.998553i	$0.482874\pi$
$972$	−26.4819	−	16.4532i	−0.849408	−	0.527737i
$973$	−11.7853	−	7.87467i	−0.377819	−	0.252450i
$974$	11.6774	−	44.8299i	0.374167	−	1.43644i
$975$	0.915358	−	1.59957i	0.0293149	−	0.0512271i
$976$	−30.8509	−	33.2580i	−0.987514	−	1.06456i
$977$	28.1339	+	28.1339i	0.900083	+	0.900083i	0.995443	−	0.0953596i	$-0.0304001\pi$
$977$	28.1339	+	28.1339i	0.900083	+	0.900083i	−0.0953596	+	0.995443i	$0.530400\pi$
$978$	−32.7280	+	33.4434i	−1.04653	+	1.06940i
$979$	−2.14238	−	1.43149i	−0.0684709	−	0.0457508i
$980$	1.29722	+	16.3013i	0.0414382	+	0.520726i
$981$	−5.57563	−	16.0210i	−0.178016	−	0.511510i
$982$	32.5210	+	1.90366i	1.03779	+	0.0607483i
$983$	1.11891	+	2.70129i	0.0356877	+	0.0861577i	0.940718	−	0.339188i	$-0.110152\pi$
$983$	1.11891	+	2.70129i	0.0356877	+	0.0861577i	−0.905031	+	0.425346i	$0.860152\pi$
$984$	31.6497	+	9.87640i	1.00896	+	0.314848i
$985$	4.17411	−	10.0772i	0.132998	−	0.321086i
$986$	12.3088	+	5.96358i	0.391992	+	0.189919i
$987$	31.5391	+	27.4460i	1.00390	+	0.873616i
$988$	17.8039	+	22.5437i	0.566416	+	0.717211i
$989$	1.22640	+	6.16551i	0.0389971	+	0.196052i
$990$	4.75818	−	40.7431i	0.151225	−	1.29490i
$991$	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
$996$	6.44564	+	43.0293i	0.204238	+	1.36344i
$997$	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
$999$	−13.7609	+	5.88610i	−0.435374	+	0.186228i

Twists

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

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.194374 - 1.40079i) q^{2} +(-1.55048 + 0.772012i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(1.28724 + 1.92649i) q^{5} +(1.38280 + 2.02185i) q^{6} +(1.24174 - 2.99783i) q^{7} +(1.13687 + 2.58989i) q^{8} +(1.80800 - 2.39398i) q^{9} +O(q^{10})\)	\(q+(-0.194374 - 1.40079i) q^{2} +(-1.55048 + 0.772012i) q^{3} +(-1.92444 + 0.544556i) q^{4} +(1.28724 + 1.92649i) q^{5} +(1.38280 + 2.02185i) q^{6} +(1.24174 - 2.99783i) q^{7} +(1.13687 + 2.58989i) q^{8} +(1.80800 - 2.39398i) q^{9} +(2.44840 - 2.17761i) q^{10} +(4.09274 + 0.814097i) q^{11} +(2.56340 - 2.33001i) q^{12} +(2.40194 + 1.60493i) q^{13} +(-4.44071 - 1.15672i) q^{14} +(-3.48311 - 1.99322i) q^{15} +(3.40692 - 2.09593i) q^{16} +(2.79904 + 2.79904i) q^{17} +(-3.70490 - 2.06730i) q^{18} +(-4.13408 - 2.76230i) q^{19} +(-3.52629 - 3.00643i) q^{20} +(0.389060 + 5.60673i) q^{21} +(0.344856 - 5.89132i) q^{22} +(0.248899 + 0.600896i) q^{23} +(-3.76212 - 3.13790i) q^{24} +(-0.140954 + 0.340294i) q^{25} +(1.78129 - 3.67658i) q^{26} +(-0.955086 + 5.10762i) q^{27} +(-0.757168 + 6.44534i) q^{28} +(0.476649 + 2.39628i) q^{29} +(-2.11506 + 5.26654i) 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} +(-2.17572 + 5.59162i) q^{36} +(1.60025 + 2.39495i) q^{37} +(-3.06585 + 6.32791i) q^{38} +(-4.96319 - 0.634084i) q^{39} +(-3.52596 + 5.52397i) q^{40} +(-6.25255 + 2.58989i) q^{41} +(7.77824 - 1.63480i) q^{42} +(9.47949 + 1.88559i) q^{43} +(-8.31954 + 0.662050i) q^{44} +(6.93929 + 0.401458i) q^{45} +(0.793351 - 0.465455i) q^{46} +(5.26021 - 5.26021i) q^{47} +(-3.66429 + 5.87988i) q^{48} +(-2.49533 - 2.49533i) q^{49} +(0.504079 + 0.131303i) q^{50} +(-6.50077 - 2.17898i) q^{51} +(-5.49636 - 1.78059i) q^{52} +(2.26887 - 11.4064i) q^{53} +(7.34036 + 0.345086i) q^{54} +(3.69998 + 8.93255i) q^{55} +(9.17576 - 0.192175i) q^{56} +(8.54235 + 1.09135i) q^{57} +(3.26404 - 1.13346i) q^{58} +(-8.56253 + 5.72130i) q^{59} +(7.78845 + 1.93908i) 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} +(4.01347 + 9.40062i) q^{66} +(-9.19028 + 1.82806i) q^{67} +(-6.91082 - 3.86235i) q^{68} +(-0.849813 - 0.739526i) q^{69} +(-3.48783 - 10.0439i) q^{70} +(-9.64379 - 3.99459i) q^{71} +(8.25561 + 1.96086i) q^{72} +(-10.4843 + 4.34273i) q^{73} +(3.04377 - 2.70714i) q^{74} +(-0.0441635 - 0.636438i) q^{75} +(9.46001 + 3.06464i) q^{76} +(7.52266 - 11.2585i) q^{77} +(0.0764973 + 7.07565i) q^{78} +(4.55477 - 4.55477i) q^{79} +(8.42329 + 3.86542i) q^{80} +(-2.46230 - 8.65662i) q^{81} +(4.84324 + 8.25512i) q^{82} +(-6.97801 + 10.4433i) q^{83} +(-3.80190 - 10.5779i) q^{84} +(-1.78929 + 8.99536i) q^{85} +(0.798746 - 13.6453i) q^{86} +(-2.58899 - 3.34741i) q^{87} +(2.54450 + 11.5253i) q^{88} +(-0.570461 - 0.236293i) q^{89} +(-0.786462 - 9.79854i) q^{90} +(7.79390 - 5.20772i) q^{91} +(-0.806213 - 1.02085i) q^{92} +(7.71237 - 3.84012i) q^{93} +(-8.39090 - 6.34600i) q^{94} -11.5200i q^{95} +(8.94874 + 3.99000i) q^{96} -12.6274i q^{97} +(-3.01041 + 3.98047i) q^{98} +(9.34859 - 8.32606i) 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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