LMFDB - Embedded newform 192.2.s.a.59.27

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			59.27
Character	$\chi$	$=$	192.59
Dual form			192.2.s.a.179.27

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.22736 + 0.702549i) q^{2} +(1.73126 - 0.0521799i) q^{3} +(1.01285 + 1.72457i) q^{4} +(0.237944 - 1.19622i) q^{5} +(2.16155 + 1.15225i) q^{6} +(-4.09218 - 1.69504i) q^{7} +(0.0315416 + 2.82825i) q^{8} +(2.99455 - 0.180674i) q^{9} +O(q^{10})$	\(q+(1.22736 + 0.702549i) q^{2} +(1.73126 - 0.0521799i) q^{3} +(1.01285 + 1.72457i) q^{4} +(0.237944 - 1.19622i) q^{5} +(2.16155 + 1.15225i) q^{6} +(-4.09218 - 1.69504i) q^{7} +(0.0315416 + 2.82825i) q^{8} +(2.99455 - 0.180674i) q^{9} +(1.13245 - 1.30104i) q^{10} +(0.176301 + 0.263852i) q^{11} +(1.84350 + 2.93283i) q^{12} +(-3.94552 + 0.784813i) q^{13} +(-3.83176 - 4.95539i) q^{14} +(0.349525 - 2.08340i) q^{15} +(-1.94827 + 3.49346i) q^{16} +(-1.38172 - 1.38172i) q^{17} +(3.80234 + 1.88207i) q^{18} +(-3.04549 + 0.605786i) q^{19} +(2.30397 - 0.801244i) q^{20} +(-7.17310 - 2.72103i) q^{21} +(0.0310158 + 0.447703i) q^{22} +(1.27543 - 0.528302i) q^{23} +(0.202185 + 4.89481i) q^{24} +(3.24506 + 1.34415i) q^{25} +(-5.39396 - 1.80867i) q^{26} +(5.17494 - 0.469051i) q^{27} +(-1.22156 - 8.77407i) q^{28} +(8.39338 + 5.60828i) q^{29} +(1.89268 - 2.31153i) q^{30} -0.792224 q^{31} +(-4.84557 + 2.91899i) q^{32} +(0.318991 + 0.447599i) q^{33} +(-0.725148 - 2.66660i) q^{34} +(-3.00135 + 4.49184i) q^{35} +(3.34462 + 4.98132i) q^{36} +(1.71507 - 8.62222i) q^{37} +(-4.16353 - 1.39609i) q^{38} +(-6.78979 + 1.56460i) q^{39} +(3.39073 + 0.635234i) q^{40} +(-0.279537 - 0.674863i) q^{41} +(-6.89235 - 8.37915i) q^{42} +(-5.29591 - 7.92589i) q^{43} +(-0.276466 + 0.571285i) q^{44} +(0.496408 - 3.62515i) q^{45} +(1.93658 + 0.247636i) q^{46} +(-6.56686 + 6.56686i) q^{47} +(-3.19069 + 6.14976i) q^{48} +(8.92307 + 8.92307i) q^{49} +(3.03855 + 3.92958i) q^{50} +(-2.46422 - 2.32002i) q^{51} +(-5.34968 - 6.00942i) q^{52} +(8.47998 - 5.66614i) q^{53} +(6.68107 + 3.05995i) q^{54} +(0.357576 - 0.148113i) q^{55} +(4.66492 - 11.6272i) q^{56} +(-5.24094 + 1.20769i) q^{57} +(6.36165 + 12.7802i) q^{58} +(0.474594 + 0.0944025i) q^{59} +(3.94697 - 1.50739i) q^{60} +(3.23231 + 2.15976i) q^{61} +(-0.972347 - 0.556576i) q^{62} +(-12.5605 - 4.33653i) q^{63} +(-7.99801 + 0.178415i) q^{64} +4.90647i q^{65} +(0.0770577 + 0.773474i) q^{66} +(0.655828 - 0.981516i) q^{67} +(0.983396 - 3.78234i) q^{68} +(2.18055 - 0.981183i) q^{69} +(-6.83950 + 3.40453i) q^{70} +(1.95516 - 4.72016i) q^{71} +(0.605445 + 8.46365i) q^{72} +(-2.68851 - 6.49064i) q^{73} +(8.16254 - 9.37769i) q^{74} +(5.68820 + 2.15775i) q^{75} +(-4.12935 - 4.63859i) q^{76} +(-0.274214 - 1.37857i) q^{77} +(-9.43275 - 2.84983i) q^{78} +(-4.81673 + 4.81673i) q^{79} +(3.71538 + 3.16182i) q^{80} +(8.93471 - 1.08208i) q^{81} +(0.131030 - 1.02469i) q^{82} +(1.37190 + 6.89702i) q^{83} +(-2.57267 - 15.1265i) q^{84} +(-1.98162 + 1.32407i) q^{85} +(-0.931687 - 13.4486i) q^{86} +(14.8238 + 9.27144i) q^{87} +(-0.740680 + 0.506945i) q^{88} +(-6.61212 + 15.9631i) q^{89} +(3.15612 - 4.10063i) q^{90} +(17.4761 + 3.47621i) q^{91} +(2.20292 + 1.66448i) q^{92} +(-1.37155 + 0.0413381i) q^{93} +(-12.6735 + 3.44639i) q^{94} +3.78723i q^{95} +(-8.23664 + 5.30638i) q^{96} +14.5264i q^{97} +(4.68297 + 17.2208i) q^{98} +(0.575613 + 0.758268i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	1.22736	+	0.702549i	0.867878	+	0.496777i
$2$	1.22736	+	0.702549i	0.867878	+	0.496777i
$3$	1.73126	−	0.0521799i	0.999546	−	0.0301261i
$3$	1.73126	−	0.0521799i	0.999546	−	0.0301261i
$4$	1.01285	+	1.72457i	0.506425	+	0.862284i
$5$	0.237944	−	1.19622i	0.106412	−	0.534968i	−0.890400	−	0.455179i	$-0.849575\pi$
$5$	0.237944	−	1.19622i	0.106412	−	0.534968i	0.996812	−	0.0797889i	$-0.0254246\pi$
$6$	2.16155	+	1.15225i	0.882450	+	0.470406i
$7$	−4.09218	−	1.69504i	−1.54670	−	0.640664i	−0.563984	−	0.825785i	$-0.690732\pi$
$7$	−4.09218	−	1.69504i	−1.54670	−	0.640664i	−0.982716	+	0.185121i	$0.940732\pi$
$8$	0.0315416	+	2.82825i	0.0111516	+	0.999938i
$9$	2.99455	−	0.180674i	0.998185	−	0.0602248i
$10$	1.13245	−	1.30104i	0.358112	−	0.411424i
$11$	0.176301	+	0.263852i	0.0531566	+	0.0795545i	0.857096	−	0.515157i	$-0.172266\pi$
$11$	0.176301	+	0.263852i	0.0531566	+	0.0795545i	−0.803939	+	0.594711i	$0.797266\pi$
$12$	1.84350	+	2.93283i	0.532172	+	0.846636i
$13$	−3.94552	+	0.784813i	−1.09429	+	0.217668i	−0.709057	−	0.705151i	$-0.750879\pi$
$13$	−3.94552	+	0.784813i	−1.09429	+	0.217668i	−0.385234	+	0.922819i	$0.625879\pi$
$14$	−3.83176	−	4.95539i	−1.02408	−	1.32438i
$15$	0.349525	−	2.08340i	0.0902469	−	0.537930i
$16$	−1.94827	+	3.49346i	−0.487068	+	0.873364i
$17$	−1.38172	−	1.38172i	−0.335116	−	0.335116i	0.519409	−	0.854526i	$-0.326152\pi$
$17$	−1.38172	−	1.38172i	−0.335116	−	0.335116i	−0.854526	+	0.519409i	$0.826152\pi$
$18$	3.80234	+	1.88207i	0.896221	+	0.443608i
$19$	−3.04549	+	0.605786i	−0.698684	+	0.138977i	−0.531637	−	0.846972i	$-0.678423\pi$
$19$	−3.04549	+	0.605786i	−0.698684	+	0.138977i	−0.167047	+	0.985949i	$0.553423\pi$
$20$	2.30397	−	0.801244i	0.515184	−	0.179164i
$21$	−7.17310	−	2.72103i	−1.56530	−	0.593777i
$22$	0.0310158	+	0.447703i	0.00661259	+	0.0954506i
$23$	1.27543	−	0.528302i	0.265947	−	0.110159i	−0.245726	−	0.969339i	$-0.579026\pi$
$23$	1.27543	−	0.528302i	0.265947	−	0.110159i	0.511672	+	0.859181i	$0.329026\pi$
$24$	0.202185	+	4.89481i	0.0412708	+	0.999148i
$25$	3.24506	+	1.34415i	0.649013	+	0.268830i
$26$	−5.39396	−	1.80867i	−1.05784	−	0.354709i
$27$	5.17494	−	0.469051i	0.995917	−	0.0902688i
$28$	−1.22156	−	8.77407i	−0.230852	−	1.65814i
$29$	8.39338	+	5.60828i	1.55861	+	1.04143i	0.972990	+	0.230845i	$0.0741491\pi$
$29$	8.39338	+	5.60828i	1.55861	+	1.04143i	0.585620	+	0.810585i	$0.300851\pi$
$30$	1.89268	−	2.31153i	0.345555	−	0.422025i
$31$	−0.792224			−0.142288			−0.0711438	−	0.997466i	$-0.522665\pi$
$31$	−0.792224			−0.142288			−0.0711438	+	0.997466i	$0.522665\pi$
$32$	−4.84557	+	2.91899i	−0.856583	+	0.516009i
$33$	0.318991	+	0.447599i	0.0555292	+	0.0779170i
$34$	−0.725148	−	2.66660i	−0.124362	−	0.457318i
$35$	−3.00135	+	4.49184i	−0.507321	+	0.759260i
$36$	3.34462	+	4.98132i	0.557436	+	0.830220i
$37$	1.71507	−	8.62222i	0.281955	−	1.41748i	−0.536979	−	0.843596i	$-0.680434\pi$
$37$	1.71507	−	8.62222i	0.281955	−	1.41748i	0.818934	−	0.573888i	$-0.194566\pi$
$38$	−4.16353	−	1.39609i	−0.675413	−	0.226475i
$39$	−6.78979	+	1.56460i	−1.08724	+	0.250536i
$40$	3.39073	+	0.635234i	0.536121	+	0.100439i
$41$	−0.279537	−	0.674863i	−0.0436564	−	0.105396i	0.900547	−	0.434758i	$-0.143166\pi$
$41$	−0.279537	−	0.674863i	−0.0436564	−	0.105396i	−0.944204	+	0.329362i	$0.893166\pi$
$42$	−6.89235	−	8.37915i	−1.06351	−	1.29293i
$43$	−5.29591	−	7.92589i	−0.807619	−	1.20869i	−0.974870	−	0.222773i	$-0.928489\pi$
$43$	−5.29591	−	7.92589i	−0.807619	−	1.20869i	0.167252	−	0.985914i	$-0.446511\pi$
$44$	−0.276466	+	0.571285i	−0.0416788	+	0.0861245i
$45$	0.496408	−	3.62515i	0.0740002	−	0.540405i
$46$	1.93658	+	0.247636i	0.285533	+	0.0365119i
$47$	−6.56686	+	6.56686i	−0.957875	+	0.957875i	−0.999148	−	0.0412728i	$-0.986859\pi$
$47$	−6.56686	+	6.56686i	−0.957875	+	0.957875i	0.0412728	+	0.999148i	$0.486859\pi$
$48$	−3.19069	+	6.14976i	−0.460536	+	0.887641i
$49$	8.92307	+	8.92307i	1.27472	+	1.27472i
$50$	3.03855	+	3.92958i	0.429715	+	0.555726i
$51$	−2.46422	−	2.32002i	−0.345060	−	0.324868i
$52$	−5.34968	−	6.00942i	−0.741867	−	0.833357i
$53$	8.47998	−	5.66614i	1.16481	−	0.778304i	0.185899	−	0.982569i	$-0.440480\pi$
$53$	8.47998	−	5.66614i	1.16481	−	0.778304i	0.978916	+	0.204265i	$0.0654803\pi$
$54$	6.68107	+	3.05995i	0.909178	+	0.416407i
$55$	0.357576	−	0.148113i	0.0482156	−	0.0199715i
$56$	4.66492	−	11.6272i	0.623376	−	1.55375i
$57$	−5.24094	+	1.20769i	−0.694180	+	0.159962i
$58$	6.36165	+	12.7802i	0.835325	+	1.67812i
$59$	0.474594	+	0.0944025i	0.0617868	+	0.0122902i	0.225887	−	0.974154i	$-0.427472\pi$
$59$	0.474594	+	0.0944025i	0.0617868	+	0.0122902i	−0.164100	+	0.986444i	$0.552472\pi$
$60$	3.94697	−	1.50739i	0.509552	−	0.194603i
$61$	3.23231	+	2.15976i	0.413855	+	0.276529i	0.745018	−	0.667044i	$-0.232441\pi$
$61$	3.23231	+	2.15976i	0.413855	+	0.276529i	−0.331163	+	0.943574i	$0.607441\pi$
$62$	−0.972347	−	0.556576i	−0.123488	−	0.0706852i
$63$	−12.5605	−	4.33653i	−1.58248	−	0.546352i
$64$	−7.99801	+	0.178415i	−0.999751	+	0.0223019i
$65$			4.90647i			0.608572i
$66$	0.0770577	+	0.773474i	0.00948515	+	0.0952081i
$67$	0.655828	−	0.981516i	0.0801222	−	0.119911i	−0.789244	−	0.614080i	$-0.789527\pi$
$67$	0.655828	−	0.981516i	0.0801222	−	0.119911i	0.869366	+	0.494168i	$0.164527\pi$
$68$	0.983396	−	3.78234i	0.119254	−	0.458676i
$69$	2.18055	−	0.981183i	0.262507	−	0.118121i
$70$	−6.83950	+	3.40453i	−0.817476	+	0.406920i
$71$	1.95516	−	4.72016i	0.232034	−	0.560180i	−0.764382	−	0.644764i	$-0.776956\pi$
$71$	1.95516	−	4.72016i	0.232034	−	0.560180i	0.996416	+	0.0845831i	$0.0269558\pi$
$72$	0.605445	+	8.46365i	0.0713524	+	0.997451i
$73$	−2.68851	−	6.49064i	−0.314667	−	0.759672i	−0.999520	−	0.0309911i	$-0.990134\pi$
$73$	−2.68851	−	6.49064i	−0.314667	−	0.759672i	0.684853	−	0.728681i	$-0.259866\pi$
$74$	8.16254	−	9.37769i	0.948876	−	1.09013i
$75$	5.68820	+	2.15775i	0.656817	+	0.249156i
$76$	−4.12935	−	4.63859i	−0.473668	−	0.532083i
$77$	−0.274214	−	1.37857i	−0.0312496	−	0.157103i
$78$	−9.43275	−	2.84983i	−1.06805	−	0.322680i
$79$	−4.81673	+	4.81673i	−0.541925	+	0.541925i	−0.924093	−	0.382168i	$-0.875178\pi$
$79$	−4.81673	+	4.81673i	−0.541925	+	0.541925i	0.382168	+	0.924093i	$0.375178\pi$
$80$	3.71538	+	3.16182i	0.415392	+	0.353502i
$81$	8.93471	−	1.08208i	0.992746	−	0.120231i
$82$	0.131030	−	1.02469i	0.0144698	−	0.113158i
$83$	1.37190	+	6.89702i	0.150586	+	0.757047i	0.980091	+	0.198548i	$0.0636225\pi$
$83$	1.37190	+	6.89702i	0.150586	+	0.757047i	−0.829505	+	0.558499i	$0.811378\pi$
$84$	−2.57267	−	15.1265i	−0.280701	−	1.65044i
$85$	−1.98162	+	1.32407i	−0.214936	+	0.143616i
$86$	−0.931687	−	13.4486i	−0.100466	−	1.45020i
$87$	14.8238	+	9.27144i	1.58928	+	0.994003i
$88$	−0.740680	+	0.506945i	−0.0789568	+	0.0540405i
$89$	−6.61212	+	15.9631i	−0.700883	+	1.69208i	0.0207303	+	0.999785i	$0.493401\pi$
$89$	−6.61212	+	15.9631i	−0.700883	+	1.69208i	−0.721613	+	0.692296i	$0.756599\pi$
$90$	3.15612	−	4.10063i	0.332684	−	0.432244i
$91$	17.4761	+	3.47621i	1.83199	+	0.364406i
$92$	2.20292	+	1.66448i	0.229670	+	0.173534i
$93$	−1.37155	+	0.0413381i	−0.142223	+	0.00428656i
$94$	−12.6735	+	3.44639i	−1.30717	+	0.355468i
$95$			3.78723i			0.388562i
$96$	−8.23664	+	5.30638i	−0.840649	+	0.541580i
$97$			14.5264i			1.47493i	0.675384	+	0.737466i	$0.263978\pi$
$97$			14.5264i			1.47493i	−0.675384	+	0.737466i	$0.736022\pi$
$98$	4.68297	+	17.2208i	0.473051	+	1.73956i
$99$	0.575613	+	0.758268i	0.0578513	+	0.0762088i
$100$	0.968683	+	6.95775i	0.0968683	+	0.695775i
$101$	−9.99879	−	1.98888i	−0.994917	−	0.197901i	−0.329325	−	0.944217i	$-0.606821\pi$
$101$	−9.99879	−	1.98888i	−0.994917	−	0.197901i	−0.665592	+	0.746316i	$0.731821\pi$
$102$	−1.39457	−	4.57875i	−0.138083	−	0.453364i
$103$	−2.06128	+	4.97636i	−0.203104	+	0.490335i	−0.992308	−	0.123795i	$-0.960493\pi$
$103$	−2.06128	+	4.97636i	−0.203104	+	0.490335i	0.789204	+	0.614131i	$0.210493\pi$
$104$	−2.34410	−	11.1342i	−0.229857	−	1.09180i
$105$	−4.96175	+	7.93318i	−0.484218	+	0.774199i
$106$	14.3888	−	0.996820i	1.39756	−	0.0968197i
$107$	15.8578	−	10.5958i	1.53303	−	1.02434i	0.551243	−	0.834345i	$-0.314154\pi$
$107$	15.8578	−	10.5958i	1.53303	−	1.02434i	0.981786	−	0.189992i	$-0.0608462\pi$
$108$	6.05034	+	8.44946i	0.582195	+	0.813050i
$109$	1.11411	+	5.60101i	0.106712	+	0.536480i	0.996748	+	0.0805877i	$0.0256797\pi$
$109$	1.11411	+	5.60101i	0.106712	+	0.536480i	−0.890035	+	0.455892i	$0.849320\pi$
$110$	0.542933	+	0.0694263i	0.0517666	+	0.00661954i
$111$	2.51933	−	15.0168i	0.239124	−	1.42533i
$112$	13.8942	−	10.9935i	1.31288	−	1.03879i
$113$	5.40184	−	5.40184i	0.508163	−	0.508163i	−0.405799	−	0.913962i	$-0.633007\pi$
$113$	5.40184	−	5.40184i	0.508163	−	0.508163i	0.913962	+	0.405799i	$0.133007\pi$
$114$	−7.28101	−	2.19975i	−0.681929	−	0.206025i
$115$	−0.328486	−	1.65141i	−0.0306315	−	0.153995i
$116$	−1.17063	+	20.1553i	−0.108690	+	1.87137i
$117$	−11.6733	+	3.06302i	−1.07920	+	0.283176i
$118$	0.516177	+	0.449292i	0.0475180	+	0.0413607i
$119$	3.31218	+	7.99631i	0.303627	+	0.733021i
$120$	5.90339	+	0.922830i	0.538903	+	0.0842425i
$121$	4.17098	−	10.0696i	0.379180	−	0.915422i
$122$	2.44989	+	4.92168i	0.221802	+	0.445588i
$123$	−0.519167	−	1.15378i	−0.0468117	−	0.104033i
$124$	−0.802403	−	1.36624i	−0.0720579	−	0.122692i
$125$	5.76808	−	8.63254i	0.515913	−	0.772118i
$126$	−12.3697	−	14.1469i	−1.10198	−	1.26030i
$127$			12.8238i			1.13793i	0.822363	+	0.568963i	$0.192655\pi$
$127$			12.8238i			1.13793i	−0.822363	+	0.568963i	$0.807345\pi$
$128$	−9.94182	−	5.40002i	−0.878741	−	0.477298i
$129$	−9.58220	−	13.4455i	−0.843665	−	1.18381i
$130$	−3.44703	+	6.02203i	−0.302325	+	0.528167i
$131$	−9.84719	−	6.57968i	−0.860353	−	0.574869i	0.0452598	−	0.998975i	$-0.485588\pi$
$131$	−9.84719	−	6.57968i	−0.860353	−	0.574869i	−0.905613	+	0.424106i	$0.860588\pi$
$132$	−0.448826	+	1.00347i	−0.0390653	+	0.0873410i
$133$	13.4895	+	2.68324i	1.16969	+	0.232666i
$134$	1.49450	−	0.743927i	0.129105	−	0.0642655i
$135$	0.670255	−	6.30199i	0.0576863	−	0.542389i
$136$	3.86427	−	3.95143i	0.331358	−	0.338832i
$137$	−13.1539	+	5.44852i	−1.12381	+	0.465498i	−0.865673	−	0.500610i	$-0.833109\pi$
$137$	−13.1539	+	5.44852i	−1.12381	+	0.465498i	−0.258139	+	0.966108i	$0.583109\pi$
$138$	3.36566	+	0.327673i	0.286504	+	0.0278933i
$139$	−2.65314	+	1.77277i	−0.225036	+	0.150365i	−0.662978	−	0.748639i	$-0.730708\pi$
$139$	−2.65314	+	1.77277i	−0.225036	+	0.150365i	0.437942	+	0.899003i	$0.355708\pi$
$140$	−10.7864	−	0.626480i	−0.911618	−	0.0529472i
$141$	−11.0263	+	11.7116i	−0.928583	+	0.986297i
$142$	5.71584	−	4.41977i	0.479662	−	0.370899i
$143$	−0.902672	−	0.902672i	−0.0754853	−	0.0754853i
$144$	−5.20303	+	10.8133i	−0.433586	+	0.901112i
$145$	8.70590	−	8.70590i	0.722986	−	0.722986i
$146$	1.26021	−	9.85520i	0.104296	−	0.815622i
$147$	15.9138	+	14.9826i	1.31255	+	1.23574i
$148$	16.6067	−	5.77526i	1.36506	−	0.474723i
$149$	−1.43265	−	2.14411i	−0.117367	−	0.175652i	0.768135	−	0.640288i	$-0.221185\pi$
$149$	−1.43265	−	2.14411i	−0.117367	−	0.175652i	−0.885502	+	0.464636i	$0.846185\pi$
$150$	5.46557	+	6.64459i	0.446262	+	0.542528i
$151$	2.24266	+	5.41426i	0.182505	+	0.440606i	0.988482	−	0.151342i	$-0.0483593\pi$
$151$	2.24266	+	5.41426i	0.182505	+	0.440606i	−0.805977	+	0.591947i	$0.798359\pi$
$152$	−1.80938	−	8.59431i	−0.146760	−	0.697091i
$153$	−4.38727	−	3.88799i	−0.354690	−	0.314326i
$154$	0.631951	−	1.88466i	0.0509241	−	0.151870i
$155$	−0.188505	+	0.947677i	−0.0151411	+	0.0761192i
$156$	−9.57528	−	10.1248i	−0.766636	−	0.810629i
$157$	4.00752	−	5.99768i	0.319835	−	0.478667i	−0.636362	−	0.771390i	$-0.719562\pi$
$157$	4.00752	−	5.99768i	0.319835	−	0.478667i	0.956197	+	0.292724i	$0.0945616\pi$
$158$	−9.29588	+	2.52790i	−0.739540	+	0.201109i
$159$	14.3854	−	10.2521i	1.14084	−	0.813042i
$160$	2.33879	+	6.49094i	0.184898	+	0.513154i
$161$	−6.11481			−0.481914
$162$	11.7264	+	4.94897i	0.921310	+	0.388828i
$163$	−12.7463	−	8.51683i	−0.998371	−	0.667090i	−0.0548814	−	0.998493i	$-0.517478\pi$
$163$	−12.7463	−	8.51683i	−0.998371	−	0.667090i	−0.943489	+	0.331403i	$0.892478\pi$
$164$	0.880718	−	1.16562i	0.0687725	−	0.0910193i
$165$	0.611331	−	0.275081i	0.0475920	−	0.0214150i
$166$	−3.16167	+	9.42899i	−0.245393	+	0.731832i
$167$	15.5935	+	6.45903i	1.20666	+	0.499815i	0.893145	−	0.449768i	$-0.148493\pi$
$167$	15.5935	+	6.45903i	1.20666	+	0.499815i	0.313515	+	0.949583i	$0.398493\pi$
$168$	7.46951	−	20.3732i	0.576285	−	1.57182i
$169$	2.94077	−	1.21811i	0.226213	−	0.0937004i
$170$	−3.36239	+	0.232939i	−0.257884	+	0.0178656i
$171$	−9.01044	+	2.36430i	−0.689046	+	0.180803i
$172$	8.30478	−	17.1609i	0.633234	−	1.30851i
$173$	−5.13633	+	1.02168i	−0.390508	+	0.0776769i	−0.386439	−	0.922315i	$-0.626295\pi$
$173$	−5.13633	+	1.02168i	−0.390508	+	0.0776769i	−0.00406882	+	0.999992i	$0.501295\pi$
$174$	11.6806	+	21.7939i	0.885501	+	1.65219i
$175$	−11.0010	−	11.0010i	−0.831598	−	0.831598i
$176$	−1.26524	+	0.101842i	−0.0953710	+	0.00767661i
$177$	0.826573	+	0.138672i	0.0621290	+	0.0104232i
$178$	−19.3303	+	14.9472i	−1.44887	+	1.12034i
$179$	15.7288	−	3.12866i	1.17563	−	0.233847i	0.431644	−	0.902044i	$-0.357934\pi$
$179$	15.7288	−	3.12866i	1.17563	−	0.233847i	0.743985	+	0.668197i	$0.232934\pi$
$180$	6.75460	−	2.81564i	0.503458	−	0.209865i
$181$	−9.76111	−	14.6085i	−0.725538	−	1.08584i	−0.992513	−	0.122140i	$-0.961024\pi$
$181$	−9.76111	−	14.6085i	−0.725538	−	1.08584i	0.266975	−	0.963703i	$-0.413976\pi$
$182$	19.0073	+	16.5444i	1.40892	+	1.22635i
$183$	5.70869	+	3.57046i	0.421998	+	0.263936i
$184$	1.53440	+	3.59059i	0.113118	+	0.264702i
$185$	−9.90601	−	4.10321i	−0.728305	−	0.301674i
$186$	−1.71243	−	0.912843i	−0.125562	−	0.0669329i
$187$	0.120972	−	0.608168i	0.00884636	−	0.0444736i
$188$	−17.9762	−	4.67376i	−1.31105	−	0.340869i
$189$	−21.9719	−	6.85228i	−1.59822	−	0.498430i
$190$	−2.66072	+	4.64832i	−0.193029	+	0.337224i
$191$	−11.6639			−0.843970			−0.421985	−	0.906603i	$-0.638667\pi$
$191$	−11.6639			−0.843970			−0.421985	+	0.906603i	$0.638667\pi$
$192$	−13.8374	+	0.726219i	−0.998626	+	0.0524103i
$193$	−19.6799			−1.41659			−0.708294	−	0.705918i	$-0.750535\pi$
$193$	−19.6799			−1.41659			−0.708294	+	0.705918i	$0.750535\pi$
$194$	−10.2055	+	17.8292i	−0.732713	+	1.28006i
$195$	0.256019	+	8.49439i	0.0183339	+	0.608296i
$196$	−6.35072	+	24.4262i	−0.453623	+	1.74473i
$197$	−0.897974	+	4.51442i	−0.0639780	+	0.321639i	−0.999500	−	0.0316303i	$-0.989930\pi$
$197$	−0.897974	+	4.51442i	−0.0639780	+	0.321639i	0.935522	+	0.353269i	$0.114930\pi$
$198$	0.173767	+	1.33507i	0.0123491	+	0.0948791i
$199$	−9.74831	−	4.03788i	−0.691039	−	0.286238i	0.00939396	−	0.999956i	$-0.497010\pi$
$199$	−9.74831	−	4.03788i	−0.691039	−	0.286238i	−0.700433	+	0.713718i	$0.747010\pi$
$200$	−3.69924	+	9.22025i	−0.261576	+	0.651970i
$201$	1.08420	−	1.73349i	0.0764733	−	0.122271i
$202$	−10.8749	−	9.46573i	−0.765154	−	0.666006i
$203$	−24.8410	−	37.1772i	−1.74350	−	2.60933i
$204$	1.50516	−	6.59955i	0.105382	−	0.462061i
$205$	−0.873801	+	0.173810i	−0.0610289	+	0.0121394i
$206$	−6.02608	+	4.65966i	−0.419857	+	0.324654i
$207$	3.72391	−	1.81247i	0.258830	−	0.125975i
$208$	4.94524	−	15.3125i	0.342891	−	1.06173i
$209$	−0.696760	−	0.696760i	−0.0481959	−	0.0481959i
$210$	−11.6633	+	6.25103i	−0.804847	+	0.431362i
$211$	−7.68992	+	1.52962i	−0.529396	+	0.105303i	−0.452549	−	0.891739i	$-0.649485\pi$
$211$	−7.68992	+	1.52962i	−0.529396	+	0.105303i	−0.0768470	+	0.997043i	$0.524485\pi$
$212$	18.3606	+	8.88536i	1.26101	+	0.610249i
$213$	3.13860	−	8.27387i	0.215053	−	0.566917i
$214$	26.9074	−	1.86408i	1.83935	−	0.127426i
$215$	−10.7413	+	4.44918i	−0.732548	+	0.303431i
$216$	1.48982	+	14.6212i	0.101369	+	0.994849i
$217$	3.24192	+	1.34285i	0.220076	+	0.0911585i
$218$	−2.56757	+	7.65720i	−0.173898	+	0.518611i
$219$	−4.99321	−	11.0967i	−0.337410	−	0.749848i
$220$	0.617602	+	0.466649i	0.0416387	+	0.0314614i
$221$	6.53599	+	4.36721i	0.439658	+	0.293770i
$222$	13.6422	−	16.6612i	0.915604	−	1.11823i
$223$	3.87615			0.259566			0.129783	−	0.991542i	$-0.458572\pi$
$223$	3.87615			0.259566			0.129783	+	0.991542i	$0.458572\pi$
$224$	24.7767	−	3.73162i	1.65547	−	0.249329i
$225$	9.96037	+	3.43883i	0.664025	+	0.229255i
$226$	10.4251	−	2.83497i	0.693467	−	0.188580i
$227$	6.60346	−	9.88278i	0.438287	−	0.655943i	−0.544909	−	0.838495i	$-0.683436\pi$
$227$	6.60346	−	9.88278i	0.438287	−	0.655943i	0.983196	+	0.182552i	$0.0584359\pi$
$228$	−7.39103	−	7.81516i	−0.489483	−	0.517572i
$229$	0.0304304	−	0.152984i	0.00201090	−	0.0101095i	−0.979767	−	0.200142i	$-0.935860\pi$
$229$	0.0304304	−	0.152984i	0.00201090	−	0.0101095i	0.981778	+	0.190033i	$0.0608595\pi$
$230$	0.757025	−	2.25766i	0.0499168	−	0.148866i
$231$	−0.546671	−	2.37236i	−0.0359683	−	0.156090i
$232$	−15.5969	+	23.9155i	−1.02398	+	1.57013i
$233$	−1.39868	−	3.37671i	−0.0916305	−	0.221216i	0.871419	−	0.490539i	$-0.163200\pi$
$233$	−1.39868	−	3.37671i	−0.0916305	−	0.221216i	−0.963050	+	0.269323i	$0.913200\pi$
$234$	−16.4793	−	4.44161i	−1.07729	−	0.290357i
$235$	6.29289	+	9.41798i	0.410503	+	0.614361i
$236$	0.317888	+	0.914085i	0.0206928	+	0.0595018i
$237$	−8.08770	+	8.59037i	−0.525353	+	0.558005i
$238$	−1.55255	+	12.1414i	−0.100637	+	0.787008i
$239$	14.9637	−	14.9637i	0.967920	−	0.967920i	−0.0315809	−	0.999501i	$-0.510054\pi$
$239$	14.9637	−	14.9637i	0.967920	−	0.967920i	0.999501	+	0.0315809i	$0.0100542\pi$
$240$	6.59728	+	5.28007i	0.425853	+	0.340827i
$241$	−3.09713	−	3.09713i	−0.199504	−	0.199504i	0.600283	−	0.799787i	$-0.295054\pi$
$241$	−3.09713	−	3.09713i	−0.199504	−	0.199504i	−0.799787	+	0.600283i	$0.795054\pi$
$242$	12.1937	−	9.42880i	0.783843	−	0.606106i
$243$	15.4119	−	2.33958i	0.988673	−	0.150084i
$244$	−0.450812	+	7.76186i	−0.0288603	+	0.496902i
$245$	12.7972	−	8.55080i	0.817581	−	0.546290i
$246$	0.173379	−	1.78085i	0.0110543	−	0.113543i
$247$	11.5406	−	4.78028i	0.734312	−	0.304162i
$248$	−0.0249880	−	2.24061i	−0.00158674	−	0.142279i
$249$	2.73501	+	11.8690i	0.173324	+	0.752166i
$250$	13.1443	−	6.54292i	0.831320	−	0.413810i
$251$	−7.15199	−	1.42262i	−0.451429	−	0.0897949i	−0.0358609	−	0.999357i	$-0.511417\pi$
$251$	−7.15199	−	1.42262i	−0.451429	−	0.0897949i	−0.415568	+	0.909562i	$0.636417\pi$
$252$	−5.24327	−	26.0537i	−0.330295	−	1.64123i
$253$	0.364254	+	0.243387i	0.0229004	+	0.0153016i
$254$	−9.00933	+	15.7394i	−0.565296	+	0.987581i
$255$	−3.36161	+	2.39572i	−0.210512	+	0.150026i
$256$	−8.40847	−	13.6124i	−0.525529	−	0.850776i
$257$		−	13.6161i		−	0.849348i	−0.905346	−	0.424674i	$-0.860389\pi$
$257$		−	13.6161i		−	0.849348i	0.905346	−	0.424674i	$-0.139611\pi$
$258$	−2.31474	−	23.2345i	−0.144110	−	1.44651i
$259$	−21.6334	+	32.3766i	−1.34423	+	2.01178i
$260$	−8.46154	+	4.96951i	−0.524762	+	0.308196i
$261$	26.1477	+	15.2778i	1.61850	+	0.945673i
$262$	−7.46354	−	14.9938i	−0.461099	−	0.926320i
$263$	0.408842	−	0.987031i	0.0252103	−	0.0608629i	−0.910773	−	0.412907i	$-0.864513\pi$
$263$	0.408842	−	0.987031i	0.0252103	−	0.0608629i	0.935983	+	0.352044i	$0.114513\pi$
$264$	−1.25586	+	0.916304i	−0.0772929	+	0.0563946i
$265$	−4.76021	−	11.4922i	−0.292418	−	0.705959i
$266$	14.6715	+	12.7704i	0.899567	+	0.783002i
$267$	−10.6144	+	27.9813i	−0.649589	+	1.71243i
$268$	2.35695	+	0.136893i	0.143973	+	0.00836204i
$269$	2.64826	+	13.3137i	0.161467	+	0.811749i	0.973597	+	0.228273i	$0.0733079\pi$
$269$	2.64826	+	13.3137i	0.161467	+	0.811749i	−0.812130	+	0.583476i	$0.801692\pi$
$270$	5.25011	−	7.26396i	0.319511	−	0.442070i
$271$	20.3415	−	20.3415i	1.23566	−	1.23566i	0.273903	−	0.961757i	$-0.411685\pi$
$271$	20.3415	−	20.3415i	1.23566	−	1.23566i	0.961757	−	0.273903i	$-0.0883147\pi$
$272$	7.51894	−	2.13501i	0.455903	−	0.129454i
$273$	30.4371	+	5.10634i	1.84214	+	0.309050i
$274$	−19.9725	−	2.55393i	−1.20658	−	0.154289i
$275$	0.217449	+	1.09319i	0.0131127	+	0.0659220i
$276$	3.90068	+	2.76671i	0.234794	+	0.166537i
$277$	−9.68327	+	6.47015i	−0.581811	+	0.388754i	−0.811363	−	0.584543i	$-0.801274\pi$
$277$	−9.68327	+	6.47015i	−0.581811	+	0.388754i	0.229552	+	0.973296i	$0.426274\pi$
$278$	−4.50183	+	0.311876i	−0.270002	+	0.0187051i
$279$	−2.37236	+	0.143134i	−0.142029	+	0.00856924i
$280$	−12.7987	−	8.34690i	−0.764871	−	0.498823i
$281$	−4.04631	+	9.76867i	−0.241383	+	0.582750i	−0.997421	−	0.0717782i	$-0.977133\pi$
$281$	−4.04631	+	9.76867i	−0.241383	+	0.582750i	0.756038	+	0.654528i	$0.227133\pi$
$282$	−21.7613	+	6.62792i	−1.29587	+	0.394687i
$283$	17.9154	+	3.56360i	1.06496	+	0.211834i	0.696316	−	0.717735i	$-0.254821\pi$
$283$	17.9154	+	3.56360i	1.06496	+	0.211834i	0.368647	+	0.929570i	$0.379821\pi$
$284$	10.1205	−	1.40901i	0.600543	−	0.0836096i
$285$	0.197617	+	6.55670i	0.0117058	+	0.388386i
$286$	−0.473737	−	1.74208i	−0.0280126	−	0.103011i
$287$			3.23549i			0.190985i
$288$	−13.9829	+	9.61654i	−0.823952	+	0.566660i
$289$		−	13.1817i		−	0.775394i
$290$	16.8016	−	4.56900i	0.986627	−	0.268301i
$291$	0.757986	+	25.1490i	0.0444339	+	1.47426i
$292$	8.47050	−	11.2106i	0.495699	−	0.656049i
$293$	−2.53416	−	0.504076i	−0.148047	−	0.0294484i	0.120510	−	0.992712i	$-0.461547\pi$
$293$	−2.53416	−	0.504076i	−0.148047	−	0.0294484i	−0.268558	+	0.963264i	$0.586547\pi$
$294$	9.00603	+	29.5693i	0.525242	+	1.72452i
$295$	0.225853	−	0.545258i	0.0131497	−	0.0317461i
$296$	24.4399	+	4.57868i	1.42054	+	0.266130i
$297$	1.03610	+	1.28273i	0.0601209	+	0.0744313i
$298$	−0.252040	−	3.63811i	−0.0146003	−	0.210750i
$299$	−4.61764	+	3.08541i	−0.267045	+	0.178434i
$300$	2.04010	+	11.9952i	0.117785	+	0.692541i
$301$	8.23716	+	41.4110i	0.474782	+	2.38689i
$302$	−1.05122	+	8.22084i	−0.0604910	+	0.473056i
$303$	−17.4143	−	2.92155i	−1.00043	−	0.167839i
$304$	3.81716	−	11.8195i	0.218929	−	0.677897i
$305$	3.35267	−	3.35267i	0.191973	−	0.191973i
$306$	−2.65328	−	7.85426i	−0.151678	−	0.448998i
$307$	−2.78694	−	14.0109i	−0.159059	−	0.799644i	−0.975120	−	0.221678i	$-0.928847\pi$
$307$	−2.78694	−	14.0109i	−0.159059	−	0.799644i	0.816061	−	0.577966i	$-0.196153\pi$
$308$	2.09970	−	1.86918i	0.119641	−	0.106507i
$309$	−3.30895	+	8.72296i	−0.188240	+	0.496232i
$310$	−0.897153	+	1.03071i	−0.0509549	+	0.0585405i
$311$	6.57636	+	15.8767i	0.372911	+	0.900287i	0.993254	+	0.115957i	$0.0369934\pi$
$311$	6.57636	+	15.8767i	0.372911	+	0.900287i	−0.620343	+	0.784331i	$0.713007\pi$
$312$	−4.63923	−	19.1539i	−0.262645	−	1.08437i
$313$	−3.21825	+	7.76953i	−0.181906	+	0.439160i	−0.988359	−	0.152138i	$-0.951384\pi$
$313$	−3.21825	+	7.76953i	−0.181906	+	0.439160i	0.806453	+	0.591298i	$0.201384\pi$
$314$	9.13235	−	4.54586i	0.515368	−	0.256538i
$315$	−8.17616	+	13.9933i	−0.460674	+	0.788435i
$316$	−13.1854	−	3.42816i	−0.741737	−	0.192849i
$317$	5.35986	−	8.02160i	0.301040	−	0.450538i	−0.649852	−	0.760061i	$-0.725169\pi$
$317$	5.35986	−	8.02160i	0.301040	−	0.450538i	0.950892	+	0.309523i	$0.100169\pi$
$318$	24.8588	−	2.47656i	1.39401	−	0.138879i
$319$			3.20336i			0.179353i
$320$	−1.68965	+	9.60986i	−0.0944544	+	0.537208i
$321$	26.9011	−	19.1716i	1.50147	−	1.07006i
$322$	−7.50510	−	4.29595i	−0.418243	−	0.239404i
$323$	5.04504	+	3.37099i	0.280714	+	0.187567i
$324$	10.9156	+	14.3125i	0.606424	+	0.795141i
$325$	−13.8584	−	2.75660i	−0.768724	−	0.152909i
$326$	−9.66092	−	19.4082i	−0.535069	−	1.07492i
$327$	2.22108	+	9.63870i	0.122826	+	0.533021i
$328$	1.89986	−	0.811888i	0.104902	−	0.0448290i
$329$	38.0039	−	15.7417i	2.09522	−	0.867869i
$330$	0.943584	+	0.0918651i	0.0519426	+	0.00505701i
$331$	15.9682	−	10.6696i	0.877689	−	0.586453i	−0.0330414	−	0.999454i	$-0.510519\pi$
$331$	15.9682	−	10.6696i	0.877689	−	0.586453i	0.910731	+	0.413001i	$0.135519\pi$
$332$	−10.5049	+	9.35158i	−0.576529	+	0.513235i
$333$	3.57804	−	26.1296i	0.196076	−	1.43189i
$334$	14.6011	+	18.8828i	0.798937	+	1.03322i
$335$	−1.01806	−	1.01806i	−0.0556227	−	0.0556227i
$336$	23.4810	−	19.7576i	1.28099	−	1.07787i
$337$	−12.5085	+	12.5085i	−0.681382	+	0.681382i	−0.960312	−	0.278929i	$-0.910020\pi$
$337$	−12.5085	+	12.5085i	−0.681382	+	0.681382i	0.278929	+	0.960312i	$0.410020\pi$
$338$	4.46517	+	0.570973i	0.242873	+	0.0310569i
$339$	9.07015	−	9.63389i	0.492623	−	0.523241i
$340$	−4.29053	−	2.07635i	−0.232687	−	0.112606i
$341$	−0.139669	−	0.209030i	−0.00756353	−	0.0113196i
$342$	−12.7201	−	3.42842i	−0.687827	−	0.185388i
$343$	−9.52463	−	22.9945i	−0.514282	−	1.24159i
$344$	22.2494	−	15.2282i	1.19961	−	0.821047i
$345$	−0.654867	−	2.84189i	−0.0352569	−	0.153002i
$346$	−7.02194	−	2.35455i	−0.377502	−	0.126582i
$347$	−5.19606	+	26.1224i	−0.278939	+	1.40232i	0.546324	+	0.837574i	$0.316027\pi$
$347$	−5.19606	+	26.1224i	−0.278939	+	1.40232i	−0.825263	+	0.564748i	$0.808973\pi$
$348$	−0.974967	+	34.9552i	−0.0522637	+	1.87380i
$349$	8.42483	−	12.6087i	0.450971	−	0.674926i	−0.534423	−	0.845217i	$-0.679471\pi$
$349$	8.42483	−	12.6087i	0.450971	−	0.674926i	0.985394	+	0.170292i	$0.0544710\pi$
$350$	−5.77350	−	21.2310i	−0.308607	−	1.13485i
$351$	−20.0497	+	5.91201i	−1.07017	+	0.315560i
$352$	−1.62446	−	0.763895i	−0.0865839	−	0.0407158i
$353$	−1.40932			−0.0750108			−0.0375054	−	0.999296i	$-0.511941\pi$
$353$	−1.40932			−0.0750108			−0.0375054	+	0.999296i	$0.511941\pi$
$354$	0.917083	+	0.750909i	0.0487424	+	0.0399104i
$355$	−5.18116	−	3.46194i	−0.274987	−	0.183741i
$356$	−34.2265	+	4.76513i	−1.81400	+	0.252551i
$357$	6.15151	+	13.6709i	0.325572	+	0.723541i
$358$	21.5031	+	7.21028i	1.13647	+	0.381075i
$359$	−2.72250	−	1.12770i	−0.143688	−	0.0595176i	0.309681	−	0.950841i	$-0.399778\pi$
$359$	−2.72250	−	1.12770i	−0.143688	−	0.0595176i	−0.453369	+	0.891323i	$0.649778\pi$
$360$	10.2685	+	1.28963i	0.541197	+	0.0679692i
$361$	−8.64566	+	3.58115i	−0.455035	+	0.188482i
$362$	−1.71723	−	24.7877i	−0.0902556	−	1.30281i
$363$	6.69564	−	17.6509i	0.351430	−	0.926430i
$364$	11.7057	+	33.6596i	0.613544	+	1.76424i
$365$	−8.40398	+	1.67165i	−0.439884	+	0.0874984i
$366$	4.49822	+	8.39289i	0.235126	+	0.438703i
$367$	7.00262	+	7.00262i	0.365534	+	0.365534i	0.865845	−	0.500312i	$-0.166781\pi$
$367$	7.00262	+	7.00262i	0.365534	+	0.365534i	−0.500312	+	0.865845i	$0.666781\pi$
$368$	−0.639294	+	5.48495i	−0.0333255	+	0.285923i
$369$	−0.959020	−	1.97041i	−0.0499246	−	0.102575i
$370$	−9.27559	−	11.9956i	−0.482215	−	0.623621i
$371$	−44.3060	+	8.81300i	−2.30025	+	0.457548i
$372$	−1.46046	−	2.32346i	−0.0757215	−	0.120466i
$373$	−0.146650	−	0.219478i	−0.00759327	−	0.0113641i	0.827654	−	0.561239i	$-0.189675\pi$
$373$	−0.146650	−	0.219478i	−0.00759327	−	0.0113641i	−0.835247	+	0.549875i	$0.814675\pi$
$374$	0.575745	−	0.661455i	0.0297711	−	0.0342030i
$375$	9.53562	−	15.2462i	0.492418	−	0.787310i
$376$	−18.7799	−	18.3656i	−0.968497	−	0.947134i
$377$	−37.5177	−	15.5403i	−1.93226	−	0.800368i
$378$	−22.1534	−	23.8466i	−1.13945	−	1.22653i
$379$	−3.31216	+	16.6514i	−0.170134	+	0.855323i	0.797568	+	0.603229i	$0.206119\pi$
$379$	−3.31216	+	16.6514i	−0.170134	+	0.855323i	−0.967703	+	0.252095i	$0.918881\pi$
$380$	−6.53134	+	3.83590i	−0.335051	+	0.196777i
$381$	0.669143	+	22.2013i	0.0342812	+	1.13741i
$382$	−14.3159	−	8.19446i	−0.732463	−	0.419265i
$383$	17.6961			0.904228			0.452114	−	0.891960i	$-0.350670\pi$
$383$	17.6961			0.904228			0.452114	+	0.891960i	$0.350670\pi$
$384$	−17.4937	−	8.83009i	−0.892722	−	0.450609i
$385$	−1.71432			−0.0873701
$386$	−24.1544	−	13.8261i	−1.22943	−	0.703729i
$387$	−17.2909	−	22.7777i	−0.878946	−	1.15785i
$388$	−25.0518	+	14.7131i	−1.27181	+	0.746942i
$389$	−3.40562	+	17.1212i	−0.172672	+	0.868079i	0.793181	+	0.608986i	$0.208424\pi$
$389$	−3.40562	+	17.1212i	−0.172672	+	0.868079i	−0.965852	+	0.259093i	$0.916576\pi$
$390$	−5.65350	+	10.6056i	−0.286276	+	0.537035i
$391$	−2.49226	−	1.03233i	−0.126039	−	0.0522070i
$392$	−24.9552	+	25.5181i	−1.26043	+	1.28886i
$393$	−17.3914	−	10.8773i	−0.877281	−	0.548689i
$394$	−4.27374	+	4.90997i	−0.215308	+	0.247361i
$395$	4.61578	+	6.90800i	0.232245	+	0.347579i
$396$	−0.724675	+	1.76070i	−0.0364163	+	0.0884783i
$397$	14.8623	−	2.95630i	0.745920	−	0.148373i	0.192525	−	0.981292i	$-0.438332\pi$
$397$	14.8623	−	2.95630i	0.745920	−	0.148373i	0.553394	+	0.832919i	$0.313332\pi$
$398$	−9.12792	−	11.8046i	−0.457541	−	0.591712i
$399$	23.4940	+	3.94151i	1.17617	+	0.197322i
$400$	−11.0180	+	8.71772i	−0.550900	+	0.435886i
$401$	1.04399	+	1.04399i	0.0521342	+	0.0521342i	0.732693	−	0.680559i	$-0.238263\pi$
$401$	1.04399	+	1.04399i	0.0521342	+	0.0521342i	−0.680559	+	0.732693i	$0.738263\pi$
$402$	2.54856	−	1.36592i	0.127111	−	0.0681258i
$403$	3.12573	−	0.621747i	0.155704	−	0.0309714i
$404$	−6.69730	−	19.2580i	−0.333203	−	0.958123i
$405$	0.831551	−	10.9454i	0.0413201	−	0.543881i
$406$	−4.37017	−	63.0820i	−0.216888	−	3.13071i
$407$	2.57736	−	1.06758i	0.127755	−	0.0529179i
$408$	6.48388	−	7.04261i	0.321000	−	0.348661i
$409$	28.8251	+	11.9398i	1.42531	+	0.590383i	0.956189	−	0.292751i	$-0.0945707\pi$
$409$	28.8251	+	11.9398i	1.42531	+	0.590383i	0.469121	+	0.883134i	$0.344571\pi$
$410$	−1.19458	−	0.400560i	−0.0589962	−	0.0197823i
$411$	−22.4886	+	10.1192i	−1.10928	+	0.499143i
$412$	−10.6698	+	1.48549i	−0.525665	+	0.0731849i
$413$	−1.78211	−	1.19077i	−0.0876918	−	0.0585938i
$414$	5.84394	+	0.391668i	0.287214	+	0.0192494i
$415$	8.57682			0.421019
$416$	16.8274	−	15.3198i	0.825032	−	0.751114i
$417$	−4.50079	+	3.20758i	−0.220404	+	0.157076i
$418$	−0.365671	−	1.34469i	−0.0178855	−	0.0657708i
$419$	2.30187	−	3.44499i	0.112454	−	0.168299i	−0.770974	−	0.636867i	$-0.780230\pi$
$419$	2.30187	−	3.44499i	0.112454	−	0.168299i	0.883427	+	0.468568i	$0.155230\pi$
$420$	−18.7068	−	0.521769i	−0.912800	−	0.0254597i
$421$	−2.13278	+	10.7222i	−0.103945	+	0.522568i	0.893369	+	0.449324i	$0.148335\pi$
$421$	−2.13278	+	10.7222i	−0.103945	+	0.522568i	−0.997314	+	0.0732441i	$0.976665\pi$
$422$	−10.5130	−	3.52515i	−0.511764	−	0.171601i
$423$	−18.4784	+	20.8513i	−0.898449	+	1.01382i
$424$	16.2927	+	23.8048i	0.791245	+	1.15606i
$425$	−2.62653	−	6.34100i	−0.127405	−	0.307584i
$426$	9.66501	−	7.95005i	0.468271	−	0.385181i
$427$	−9.56634	−	14.3170i	−0.462948	−	0.692850i
$428$	34.3348	+	16.6158i	1.65963	+	0.803157i
$429$	−1.60987	−	1.51566i	−0.0777251	−	0.0731769i
$430$	−16.3092	−	2.08550i	−0.786501	−	0.100572i
$431$	−21.2430	+	21.2430i	−1.02324	+	1.02324i	−0.0235160	+	0.999723i	$0.507486\pi$
$431$	−21.2430	+	21.2430i	−1.02324	+	1.02324i	−0.999723	+	0.0235160i	$0.992514\pi$
$432$	−8.44358	+	18.9923i	−0.406242	+	0.913765i
$433$	−17.4424	−	17.4424i	−0.838230	−	0.838230i	0.150396	−	0.988626i	$-0.451945\pi$
$433$	−17.4424	−	17.4424i	−0.838230	−	0.838230i	−0.988626	+	0.150396i	$0.951945\pi$
$434$	3.03561	+	3.92578i	0.145714	+	0.188443i
$435$	14.6180	−	15.5265i	0.700877	−	0.744439i
$436$	−8.53090	+	7.59434i	−0.408556	+	0.363703i
$437$	−3.56429	+	2.38158i	−0.170503	+	0.113927i
$438$	1.66751	−	17.1277i	0.0796769	−	0.818394i
$439$	30.2485	−	12.5293i	1.44368	−	0.597993i	0.482995	−	0.875623i	$-0.339549\pi$
$439$	30.2485	−	12.5293i	1.44368	−	0.597993i	0.960688	+	0.277630i	$0.0895490\pi$
$440$	0.430179	+	1.00664i	0.0205080	+	0.0479899i
$441$	28.3328	+	25.1084i	1.34918	+	1.19564i
$442$	4.95387	+	9.95202i	0.235631	+	0.473369i
$443$	−8.67828	−	1.72622i	−0.412318	−	0.0820151i	−0.0154270	−	0.999881i	$-0.504911\pi$
$443$	−8.67828	−	1.72622i	−0.412318	−	0.0820151i	−0.396891	+	0.917866i	$0.629911\pi$
$444$	28.4493	−	10.8650i	1.35014	−	0.515632i
$445$	17.5221	+	11.7079i	0.830626	+	0.555007i
$446$	4.75745	+	2.72318i	0.225272	+	0.128947i
$447$	−2.59218	−	3.63727i	−0.122606	−	0.172037i
$448$	33.0317	+	12.8268i	1.56060	+	0.606011i
$449$			9.37306i			0.442342i	0.975235	+	0.221171i	$0.0709879\pi$
$449$			9.37306i			0.442342i	−0.975235	+	0.221171i	$0.929012\pi$
$450$	9.80907	+	11.2183i	0.462404	+	0.528838i
$451$	0.128782	−	0.192735i	0.00606409	−	0.00907555i
$452$	14.7871	+	3.84460i	0.695527	+	0.180835i
$453$	4.16515	+	9.25649i	0.195696	+	0.434908i
$454$	15.0480	−	7.49052i	0.706237	−	0.351547i
$455$	8.31665	−	20.0782i	0.389890	−	0.941279i
$456$	−3.58096	−	14.7846i	−0.167694	−	0.692353i
$457$	−13.4669	−	32.5120i	−0.629956	−	1.52085i	−0.839677	−	0.543086i	$-0.817256\pi$
$457$	−13.4669	−	32.5120i	−0.629956	−	1.52085i	0.209721	−	0.977761i	$-0.432744\pi$
$458$	0.144828	−	0.166388i	0.00676736	−	0.00777481i
$459$	−7.79841	−	6.50222i	−0.363998	−	0.303497i
$460$	2.51527	−	2.23913i	0.117275	−	0.104400i
$461$	−1.44959	−	7.28760i	−0.0675144	−	0.339418i	0.932234	−	0.361856i	$-0.117857\pi$
$461$	−1.44959	−	7.28760i	−0.0675144	−	0.339418i	−0.999748	+	0.0224388i	$0.992857\pi$
$462$	0.995734	−	3.29581i	0.0463257	−	0.153335i
$463$	−3.28045	+	3.28045i	−0.152455	+	0.152455i	−0.779214	−	0.626758i	$-0.784381\pi$
$463$	−3.28045	+	3.28045i	−0.152455	+	0.152455i	0.626758	+	0.779214i	$0.284381\pi$
$464$	−35.9448	+	18.3954i	−1.66870	+	0.853987i
$465$	−0.276902	+	1.65052i	−0.0128410	+	0.0765408i
$466$	0.655615	−	5.12710i	0.0303708	−	0.237508i
$467$	−6.42184	−	32.2848i	−0.297168	−	1.49396i	−0.784162	−	0.620557i	$-0.786907\pi$
$467$	−6.42184	−	32.2848i	−0.297168	−	1.49396i	0.486994	−	0.873405i	$-0.338093\pi$
$468$	−17.1057	−	17.0290i	−0.790709	−	0.787166i
$469$	−4.34748	+	2.90489i	−0.200748	+	0.134135i
$470$	1.10708	+	15.9804i	0.0510659	+	0.737119i
$471$	6.62512	−	10.5927i	0.305269	−	0.488085i
$472$	−0.252025	+	1.34525i	−0.0116004	+	0.0619200i
$473$	1.15759	−	2.79468i	0.0532262	−	0.128499i
$474$	−15.9617	+	4.86152i	−0.733146	+	0.223297i
$475$	−10.6971	−	2.12778i	−0.490816	−	0.0976294i
$476$	−10.4355	+	13.8111i	−0.478308	+	0.633033i
$477$	24.3700	−	18.4997i	1.11583	−	0.847042i
$478$	28.8786	−	7.85318i	1.32088	−	0.359196i
$479$			38.0568i			1.73886i	0.494058	+	0.869429i	$0.335513\pi$
$479$			38.0568i			1.73886i	−0.494058	+	0.869429i	$0.664487\pi$
$480$	4.38776	+	11.1155i	0.200273	+	0.507350i
$481$			35.3651i			1.61251i
$482$	−1.62542	−	5.97720i	−0.0740361	−	0.272254i
$483$	−10.5863	+	0.319070i	−0.481696	+	0.0145182i
$484$	21.5904	−	3.00588i	0.981380	−	0.136631i
$485$	17.3768	+	3.45647i	0.789041	+	0.156950i
$486$	20.5597	+	7.95610i	0.932606	+	0.360896i
$487$	−4.02365	+	9.71395i	−0.182329	+	0.440181i	−0.988446	−	0.151576i	$-0.951565\pi$
$487$	−4.02365	+	9.71395i	−0.182329	+	0.440181i	0.806117	+	0.591757i	$0.201565\pi$
$488$	−6.00640	+	9.20992i	−0.271897	+	0.416913i
$489$	−22.5117	−	14.0798i	−1.01801	−	0.636710i
$490$	21.7142	−	1.50431i	0.980946	−	0.0679576i
$491$	12.7196	−	8.49900i	0.574030	−	0.383554i	−0.234406	−	0.972139i	$-0.575315\pi$
$491$	12.7196	−	8.49900i	0.574030	−	0.383554i	0.808436	+	0.588584i	$0.200315\pi$
$492$	1.46393	−	2.06394i	0.0659993	−	0.0930498i
$493$	−3.84823	−	19.3463i	−0.173315	−	0.871316i
$494$	17.5229	+	2.24070i	0.788394	+	0.100814i
$495$	1.04402	−	0.508137i	0.0469253	−	0.0228391i
$496$	1.54347	−	2.76760i	0.0693037	−	0.124269i
$497$	−16.0017	+	16.0017i	−0.717775	+	0.717775i
$498$	−4.98169	+	16.4891i	−0.223235	+	0.738892i
$499$	−1.57774	−	7.93183i	−0.0706293	−	0.355077i	0.929268	−	0.369406i	$-0.120439\pi$
$499$	−1.57774	−	7.93183i	−0.0706293	−	0.355077i	−0.999897	+	0.0143288i	$0.995439\pi$
$500$	20.7296	+	1.20398i	0.927056	+	0.0538438i
$501$	27.3335	+	10.3686i	1.22117	+	0.463236i
$502$	−7.77864	−	6.77069i	−0.347178	−	0.302191i
$503$	7.37525	+	17.8054i	0.328846	+	0.793905i	0.998679	+	0.0513924i	$0.0163659\pi$
$503$	7.37525	+	17.8054i	0.328846	+	0.793905i	−0.669832	+	0.742512i	$0.733634\pi$
$504$	11.8686	−	35.6611i	0.528670	−	1.58847i
$505$	−4.75830	+	11.4875i	−0.211742	+	0.511189i
$506$	0.276081	+	0.554630i	0.0122733	+	0.0246563i
$507$	5.02768	−	2.26231i	0.223287	−	0.100473i
$508$	−22.1155	+	12.9885i	−0.981215	+	0.576274i
$509$	3.14830	−	4.71176i	0.139546	−	0.208845i	−0.755114	−	0.655594i	$-0.772418\pi$
$509$	3.14830	−	4.71176i	0.139546	−	0.208845i	0.894659	+	0.446749i	$0.147418\pi$
$510$	−5.80904	+	0.578728i	−0.257229	+	0.0256265i
$511$			31.1180i			1.37658i
$512$	−0.756872	−	22.6148i	−0.0334493	−	0.999440i
$513$	−15.4761	+	4.56340i	−0.683286	+	0.201479i
$514$	9.56597	−	16.7119i	0.421937	−	0.737131i
$515$	5.46237	+	3.64984i	0.240701	+	0.160831i
$516$	13.4823	−	30.1434i	0.593526	−	1.32699i
$517$	−2.89042	−	0.574941i	−0.127121	−	0.0252859i
$518$	−49.2982	+	24.5394i	−2.16604	+	1.07820i
$519$	−8.83904	+	2.03681i	−0.387991	+	0.0894061i
$520$	−13.8767	+	0.154758i	−0.608534	+	0.00678657i
$521$	32.8576	−	13.6101i	1.43952	−	0.596267i	0.479835	−	0.877359i	$-0.340696\pi$
$521$	32.8576	−	13.6101i	1.43952	−	0.596267i	0.959681	+	0.281092i	$0.0906965\pi$
$522$	21.3593	+	37.1215i	0.934873	+	1.62476i
$523$	−2.52502	+	1.68717i	−0.110412	+	0.0737747i	−0.609550	−	0.792748i	$-0.708650\pi$
$523$	−2.52502	+	1.68717i	−0.110412	+	0.0737747i	0.499139	+	0.866522i	$0.333650\pi$
$524$	1.37339	−	23.6464i	0.0599969	−	1.03300i
$525$	−19.6197	−	18.4716i	−0.856274	−	0.806168i
$526$	1.19524	−	0.924216i	0.0521147	−	0.0402977i
$527$	1.09463	+	1.09463i	0.0476829	+	0.0476829i
$528$	−2.18515	+	0.242335i	−0.0950964	+	0.0105463i
$529$	−14.9158	+	14.9158i	−0.648514	+	0.648514i
$530$	2.23130	−	17.4494i	0.0969214	−	0.757953i
$531$	1.43825	+	0.196947i	0.0624148	+	0.00854676i
$532$	9.03545	+	25.9814i	0.391737	+	1.12643i
$533$	1.63256	+	2.44330i	0.0707141	+	0.105831i
$534$	−32.6860	+	26.8862i	−1.41446	+	1.16348i
$535$	−8.90172	−	21.4907i	−0.384855	−	0.929122i
$536$	2.79666	+	1.82389i	0.120797	+	0.0787800i
$537$	27.0675	−	6.23727i	1.16805	−	0.269158i
$538$	−6.10314	+	18.2013i	−0.263125	+	0.784712i
$539$	−0.781232	+	3.92752i	−0.0336500	+	0.169170i
$540$	11.5471	−	5.22707i	0.496907	−	0.224937i
$541$	4.30368	−	6.44092i	0.185030	−	0.276917i	−0.727345	−	0.686272i	$-0.759246\pi$
$541$	4.30368	−	6.44092i	0.185030	−	0.276917i	0.912375	+	0.409355i	$0.134246\pi$
$542$	39.2574	−	10.6756i	1.68625	−	0.458554i
$543$	−17.6613	−	24.7819i	−0.757920	−	1.06349i
$544$	10.7284	+	2.66199i	0.459978	+	0.114132i
$545$	6.96516			0.298355
$546$	33.7700	+	27.6509i	1.44522	+	1.18335i
$547$	25.0849	+	16.7612i	1.07255	+	0.716658i	0.960846	−	0.277083i	$-0.0893678\pi$
$547$	25.0849	+	16.7612i	1.07255	+	0.716658i	0.111708	+	0.993741i	$0.464368\pi$
$548$	−22.7192	−	17.1662i	−0.970518	−	0.733306i
$549$	10.0696	+	5.88353i	0.429758	+	0.251103i
$550$	−0.501132	+	1.49451i	−0.0213683	+	0.0637263i
$551$	−28.9594	−	11.9954i	−1.23371	−	0.511020i
$552$	2.84381	+	6.13619i	0.121041	+	0.261174i
$553$	27.8755	−	11.5464i	1.18539	−	0.491003i
$554$	−16.4305	+	1.13827i	−0.698065	+	0.0483603i
$555$	−17.3640	−	6.58684i	−0.737062	−	0.279596i
$556$	−5.74450	−	2.77997i	−0.243621	−	0.117897i
$557$	22.7659	−	4.52842i	0.964622	−	0.191875i	0.312440	−	0.949938i	$-0.398854\pi$
$557$	22.7659	−	4.52842i	0.964622	−	0.191875i	0.652182	+	0.758062i	$0.273854\pi$
$558$	−3.01231	−	1.49102i	−0.127521	−	0.0631199i
$559$	27.1155	+	27.1155i	1.14686	+	1.14686i
$560$	−9.84460	−	19.2364i	−0.416010	−	0.812888i
$561$	0.177701	−	1.05921i	0.00750253	−	0.0447200i
$562$	−11.8293	+	9.14699i	−0.498988	+	0.385842i
$563$	−2.76147	+	0.549290i	−0.116382	+	0.0231498i	−0.252938	−	0.967483i	$-0.581397\pi$
$563$	−2.76147	+	0.549290i	−0.116382	+	0.0231498i	0.136556	+	0.990632i	$0.456397\pi$
$564$	−31.3655	−	7.15352i	−1.32073	−	0.301217i
$565$	−5.17648	−	7.74715i	−0.217776	−	0.325925i
$566$	19.4852	+	16.9603i	0.819023	+	0.712896i
$567$	−38.3967	−	10.7166i	−1.61251	−	0.450056i
$568$	13.4115	+	5.38079i	0.562733	+	0.225773i
$569$	37.8004	+	15.6574i	1.58467	+	0.656394i	0.989145	−	0.146940i	$-0.0469426\pi$
$569$	37.8004	+	15.6574i	1.58467	+	0.656394i	0.595529	+	0.803334i	$0.296943\pi$
$570$	−4.36386	+	8.18630i	−0.182782	+	0.342887i
$571$	3.64491	−	18.3242i	0.152535	−	0.766845i	−0.826466	−	0.562987i	$-0.809652\pi$
$571$	3.64491	−	18.3242i	0.152535	−	0.766845i	0.979001	−	0.203858i	$-0.0653479\pi$
$572$	0.642449	−	2.47099i	0.0268622	−	0.103317i
$573$	−20.1933	+	0.608621i	−0.843587	+	0.0254255i
$574$	−2.27309	+	3.97113i	−0.0948770	+	0.165752i
$575$	4.84898			0.202217
$576$	−23.9182	+	1.97931i	−0.996593	+	0.0824712i
$577$	−10.4166			−0.433647			−0.216824	−	0.976211i	$-0.569570\pi$
$577$	−10.4166			−0.433647			−0.216824	+	0.976211i	$0.569570\pi$
$578$	9.26080	−	16.1788i	0.385198	−	0.672948i
$579$	−34.0711	+	1.02689i	−1.41594	+	0.0426762i
$580$	23.8317	+	6.19616i	0.989557	+	0.257281i
$581$	6.07664	−	30.5493i	0.252101	−	1.26740i
$582$	−16.7381	+	31.3996i	−0.693817	+	1.30155i
$583$	2.99005	+	1.23852i	0.123835	+	0.0512942i
$584$	18.2724	−	7.80851i	0.756116	−	0.323119i
$585$	0.886473	+	14.6927i	0.0366511	+	0.607468i
$586$	−2.75620	−	2.39906i	−0.113858	−	0.0991042i
$587$	20.4465	+	30.6003i	0.843916	+	1.26301i	0.962831	+	0.270105i	$0.0870586\pi$
$587$	20.4465	+	30.6003i	0.843916	+	1.26301i	−0.118914	+	0.992905i	$0.537941\pi$
$588$	−9.72022	+	42.6195i	−0.400855	+	1.75760i
$589$	2.41271	−	0.479918i	0.0994140	−	0.0197747i
$590$	0.660275	−	0.510557i	0.0271831	−	0.0210193i
$591$	−1.31907	+	7.86251i	−0.0542592	+	0.323420i
$592$	26.7799	+	22.7899i	1.10065	+	0.936661i
$593$	−11.0664	−	11.0664i	−0.454443	−	0.454443i	0.442383	−	0.896826i	$-0.354133\pi$
$593$	−11.0664	−	11.0664i	−0.454443	−	0.454443i	−0.896826	+	0.442383i	$0.854133\pi$
$594$	0.370500	+	2.30229i	0.0152018	+	0.0944640i
$595$	10.3535	−	2.05944i	0.424452	−	0.0844287i
$596$	2.24661	−	4.64236i	0.0920247	−	0.190159i
$597$	−17.0876	−	6.48197i	−0.699349	−	0.265290i
$598$	−7.83517	+	0.542802i	−0.320404	+	0.0221968i
$599$	−30.3993	+	12.5918i	−1.24208	+	0.514487i	−0.904365	−	0.426760i	$-0.859655\pi$
$599$	−30.3993	+	12.5918i	−1.24208	+	0.514487i	−0.337718	+	0.941247i	$0.609655\pi$
$600$	−5.92325	+	16.1557i	−0.241816	+	0.659555i
$601$	−19.1841	−	7.94630i	−0.782534	−	0.324136i	−0.0445964	−	0.999005i	$-0.514200\pi$
$601$	−19.1841	−	7.94630i	−0.782534	−	0.324136i	−0.737938	+	0.674869i	$0.764200\pi$
$602$	−18.9833	+	56.6134i	−0.773700	+	2.30739i
$603$	1.78658	−	3.05770i	0.0727551	−	0.124519i
$604$	−7.06578	+	9.35144i	−0.287502	+	0.380505i
$605$	−11.0531	−	7.38543i	−0.449372	−	0.300261i
$606$	−19.3212	−	15.8202i	−0.784870	−	0.642653i
$607$	−18.8664			−0.765765			−0.382883	−	0.923797i	$-0.625069\pi$
$607$	−18.8664			−0.765765			−0.382883	+	0.923797i	$0.625069\pi$
$608$	12.9889	−	11.8251i	0.526768	−	0.479573i
$609$	−44.9463	−	63.0674i	−1.82131	−	2.55562i
$610$	6.47036	−	1.75953i	0.261977	−	0.0712414i
$611$	20.7559	−	31.0634i	0.839695	−	1.25669i
$612$	2.26146	−	11.5041i	0.0914141	−	0.465026i
$613$	0.332275	−	1.67046i	0.0134205	−	0.0674692i	−0.973495	−	0.228709i	$-0.926549\pi$
$613$	0.332275	−	1.67046i	0.0134205	−	0.0674692i	0.986915	+	0.161240i	$0.0515494\pi$
$614$	6.42275	−	19.1544i	0.259201	−	0.773011i
$615$	−1.50371	+	0.346506i	−0.0606355	+	0.0139725i
$616$	3.89029	−	0.819030i	0.156744	−	0.0329996i
$617$	9.92606	+	23.9636i	0.399608	+	0.964739i	0.987759	+	0.155988i	$0.0498561\pi$
$617$	9.92606	+	23.9636i	0.399608	+	0.964739i	−0.588151	+	0.808751i	$0.700144\pi$
$618$	−10.1896	+	8.38155i	−0.409886	+	0.337155i
$619$	3.22882	+	4.83228i	0.129777	+	0.194226i	0.890668	−	0.454655i	$-0.150237\pi$
$619$	3.22882	+	4.83228i	0.129777	+	0.194226i	−0.760890	+	0.648881i	$0.775237\pi$
$620$	−1.82526	+	0.634765i	−0.0733042	+	0.0254928i
$621$	6.35250	−	3.33218i	0.254917	−	0.133716i
$622$	−3.08260	+	24.1068i	−0.123601	+	0.966593i
$623$	54.1160	−	54.1160i	2.16811	−	2.16811i
$624$	7.76251	−	26.7681i	0.310749	−	1.07158i
$625$	3.46435	+	3.46435i	0.138574	+	0.138574i
$626$	−9.40844	+	7.27508i	−0.376037	+	0.290771i
$627$	−1.24263	−	1.16992i	−0.0496260	−	0.0467221i
$628$	14.4024	+	0.836499i	0.574719	+	0.0333799i
$629$	−14.2832	+	9.54374i	−0.569509	+	0.380534i
$630$	−19.8661	+	11.4308i	−0.791486	+	0.455413i
$631$	−14.4166	+	5.97157i	−0.573917	+	0.237724i	−0.650715	−	0.759322i	$-0.725531\pi$
$631$	−14.4166	+	5.97157i	−0.573917	+	0.237724i	0.0767973	+	0.997047i	$0.475531\pi$
$632$	−13.7749	−	13.4710i	−0.547934	−	0.535848i
$633$	−13.2335	+	3.04944i	−0.525983	+	0.121204i
$634$	12.2141	−	6.07986i	0.485083	−	0.241462i
$635$	15.3401	+	3.05134i	0.608753	+	0.121089i
$636$	32.2507	+	14.4249i	1.27882	+	0.571983i
$637$	−42.2091	−	28.2032i	−1.67238	−	1.11745i
$638$	−2.25051	+	3.93169i	−0.0890987	+	0.155657i
$639$	5.00201	−	14.4880i	0.197876	−	0.573138i
$640$	−8.82522	+	10.6077i	−0.348847	+	0.419308i
$641$			46.4412i			1.83432i	0.398523	+	0.917158i	$0.369523\pi$
$641$			46.4412i			1.83432i	−0.398523	+	0.917158i	$0.630477\pi$
$642$	46.4865	−	4.63124i	1.83468	−	0.182780i
$643$	0.726996	−	1.08803i	0.0286699	−	0.0429076i	−0.816858	−	0.576839i	$-0.804286\pi$
$643$	0.726996	−	1.08803i	0.0286699	−	0.0429076i	0.845528	+	0.533931i	$0.179286\pi$
$644$	−6.19338	−	10.5454i	−0.244053	−	0.415547i
$645$	−18.3638	+	8.26318i	−0.723075	+	0.325363i
$646$	3.82382	+	7.68182i	0.150446	+	0.302237i
$647$	9.66502	−	23.3334i	0.379971	−	0.917332i	−0.611999	−	0.790859i	$-0.709634\pi$
$647$	9.66502	−	23.3334i	0.379971	−	0.917332i	0.991970	−	0.126473i	$-0.0403657\pi$
$648$	3.34220	+	25.2355i	0.131294	+	0.991343i
$649$	0.0587628	+	0.141866i	0.00230664	+	0.00556872i
$650$	−15.0726	−	13.1195i	−0.591197	−	0.514591i
$651$	5.68270	+	2.15566i	0.222723	+	0.0844871i
$652$	1.77774	−	30.6082i	0.0696216	−	1.19871i
$653$	7.37954	+	37.0994i	0.288784	+	1.45181i	0.803936	+	0.594715i	$0.202735\pi$
$653$	7.37954	+	37.0994i	0.288784	+	1.45181i	−0.515153	+	0.857098i	$0.672265\pi$
$654$	−4.04559	+	13.3906i	−0.158195	+	0.523615i
$655$	−10.2138	+	10.2138i	−0.399088	+	0.399088i
$656$	2.90222	+	0.338265i	0.113313	+	0.0132070i
$657$	−9.22359	−	18.9508i	−0.359847	−	0.739343i
$658$	57.7040	+	7.37876i	2.24953	+	0.287654i
$659$	4.76895	+	23.9751i	0.185772	+	0.933939i	0.955370	+	0.295410i	$0.0954564\pi$
$659$	4.76895	+	23.9751i	0.185772	+	0.933939i	−0.769598	+	0.638528i	$0.779544\pi$
$660$	1.09358	+	0.775666i	0.0425676	+	0.0301928i
$661$	−8.98774	+	6.00542i	−0.349583	+	0.233584i	−0.717947	−	0.696098i	$-0.754918\pi$
$661$	−8.98774	+	6.00542i	−0.349583	+	0.233584i	0.368364	+	0.929682i	$0.379918\pi$
$662$	27.0947	−	1.87705i	1.05306	−	0.0729538i
$663$	11.5434	+	7.21975i	0.448309	+	0.280392i
$664$	−19.4632	+	4.09763i	−0.755320	+	0.159019i
$665$	6.41951	−	15.4981i	0.248938	−	0.600989i
$666$	22.7489	−	29.5568i	0.881501	−	1.14530i
$667$	13.6681	+	2.71875i	0.529230	+	0.105270i
$668$	4.65481	+	33.4341i	0.180100	+	1.29360i
$669$	6.71064	−	0.202257i	0.259448	−	0.00781970i
$670$	−0.534295	−	1.96477i	−0.0206416	−	0.0759058i
$671$			1.23362i			0.0476234i
$672$	42.7004	−	7.75326i	1.64720	−	0.299089i
$673$		−	6.79812i		−	0.262048i	−0.991379	−	0.131024i	$-0.958173\pi$
$673$		−	6.79812i		−	0.262048i	0.991379	−	0.131024i	$-0.0418265\pi$
$674$	−24.1404	+	6.56467i	−0.929852	+	0.252861i
$675$	17.4235	+	5.43379i	0.670630	+	0.209147i
$676$	5.07926	+	3.83780i	0.195356	+	0.147608i
$677$	−33.1440	−	6.59275i	−1.27383	−	0.253380i	−0.488556	−	0.872532i	$-0.662476\pi$
$677$	−33.1440	−	6.59275i	−1.27383	−	0.253380i	−0.785271	+	0.619152i	$0.787476\pi$
$678$	17.9007	−	5.45207i	0.687471	−	0.209385i
$679$	24.6228	−	59.4447i	0.944936	−	2.28128i
$680$	−3.80732	−	5.56275i	−0.146004	−	0.213322i
$681$	10.9167	−	17.4543i	0.418327	−	0.668849i
$682$	−0.0245715	−	0.354681i	−0.000940890	−	0.0135814i
$683$	7.42848	−	4.96355i	0.284243	−	0.189925i	−0.405273	−	0.914196i	$-0.632823\pi$
$683$	7.42848	−	4.96355i	0.284243	−	0.189925i	0.689516	+	0.724271i	$0.257823\pi$
$684$	−13.2036	−	13.1444i	−0.504853	−	0.502590i
$685$	3.38776	+	17.0314i	0.129440	+	0.650738i
$686$	4.46456	−	34.9141i	0.170458	−	1.33303i
$687$	0.0447003	−	0.266443i	0.00170542	−	0.0101654i
$688$	38.0066	−	3.05924i	1.44899	−	0.116632i
$689$	−29.0111	+	29.0111i	−1.10523	+	1.10523i
$690$	1.19281	−	3.94811i	0.0454094	−	0.150302i
$691$	3.06486	+	15.4081i	0.116593	+	0.586151i	0.994270	+	0.106899i	$0.0340922\pi$
$691$	3.06486	+	15.4081i	0.116593	+	0.586151i	−0.877677	+	0.479252i	$0.840908\pi$
$692$	−6.96429	−	7.82315i	−0.264743	−	0.297392i
$693$	−1.07022	−	4.07866i	−0.0406544	−	0.154935i
$694$	−24.7297	+	28.4112i	−0.938727	+	1.07847i
$695$	1.48933	+	3.59557i	0.0564936	+	0.136388i
$696$	−25.7544	+	42.2179i	−0.976218	+	1.60026i
$697$	−0.546229	+	1.31871i	−0.0206899	+	0.0499498i
$698$	19.1985	−	9.55656i	0.726675	−	0.361721i
$699$	−2.59768	−	5.77300i	−0.0982533	−	0.218355i
$700$	7.82963	−	30.1144i	0.295932	−	1.13822i
$701$	12.3731	−	18.5177i	0.467327	−	0.699405i	−0.520690	−	0.853746i	$-0.674325\pi$
$701$	12.3731	−	18.5177i	0.467327	−	0.699405i	0.988018	+	0.154341i	$0.0493254\pi$
$702$	−28.7618	−	6.82972i	−1.08554	−	0.257771i
$703$			27.2979i			1.02956i
$704$	−1.45713	−	2.07884i	−0.0549176	−	0.0783492i
$705$	11.3861	+	15.9767i	0.428825	+	0.601715i
$706$	−1.72976	−	0.990120i	−0.0651002	−	0.0372636i
$707$	37.5457	+	25.0872i	1.41205	+	0.943502i
$708$	0.598045	+	1.56594i	0.0224759	+	0.0588514i
$709$	−20.4628	−	4.07031i	−0.768498	−	0.152864i	−0.204754	−	0.978813i	$-0.565640\pi$
$709$	−20.4628	−	4.07031i	−0.768498	−	0.152864i	−0.563744	+	0.825950i	$0.690640\pi$
$710$	−3.92699	−	7.88908i	−0.147377	−	0.296072i
$711$	−13.5537	+	15.2942i	−0.508304	+	0.573578i
$712$	−45.3561	−	18.1972i	−1.69979	−	0.681970i
$713$	−1.01043	+	0.418534i	−0.0378409	+	0.0156742i
$714$	−2.05434	+	21.1009i	−0.0768816	+	0.789683i
$715$	−1.29458	+	0.865013i	−0.0484147	+	0.0323497i
$716$	21.3265	+	23.9566i	0.797010	+	0.895300i
$717$	25.1253	−	26.6869i	0.938321	−	0.996641i
$718$	−2.54924	−	3.29679i	−0.0951368	−	0.123035i
$719$	−22.6041	−	22.6041i	−0.842990	−	0.842990i	0.146257	−	0.989247i	$-0.453277\pi$
$719$	−22.6041	−	22.6041i	−0.842990	−	0.842990i	−0.989247	+	0.146257i	$0.953277\pi$
$720$	11.6972	+	8.79696i	0.435927	+	0.327843i
$721$	16.8702	−	16.8702i	0.628281	−	0.628281i
$722$	−13.1273	−	1.67862i	−0.488548	−	0.0624719i
$723$	−5.52357	−	5.20035i	−0.205424	−	0.193403i
$724$	15.3069	−	31.6299i	0.568876	−	1.17552i
$725$	19.6987	+	29.4812i	0.731591	+	1.09490i
$726$	20.6186	−	16.9600i	0.765228	−	0.629445i
$727$	5.01604	+	12.1098i	0.186035	+	0.449127i	0.989189	−	0.146643i	$-0.0468468\pi$
$727$	5.01604	+	12.1098i	0.186035	+	0.449127i	−0.803155	+	0.595770i	$0.796847\pi$
$728$	−9.28037	+	49.5364i	−0.343953	+	1.83594i
$729$	26.5600	−	4.85462i	0.983703	−	0.179801i
$730$	−11.4892	−	3.85248i	−0.425233	−	0.142587i
$731$	−3.63389	+	18.2688i	−0.134404	+	0.675697i
$732$	−0.375463	+	13.4614i	−0.0138775	+	0.497546i
$733$	−22.5288	+	33.7168i	−0.832122	+	1.24536i	0.134950	+	0.990852i	$0.456913\pi$
$733$	−22.5288	+	33.7168i	−0.832122	+	1.24536i	−0.967071	+	0.254506i	$0.918087\pi$
$734$	3.67509	+	13.5145i	0.135650	+	0.498828i
$735$	21.7091	−	15.4715i	0.800753	−	0.570673i
$736$	−4.63810	+	6.28290i	−0.170962	+	0.231591i
$737$	0.374598			0.0137985
$738$	0.207241	−	3.09217i	0.00762865	−	0.113824i
$739$	9.63802	+	6.43992i	0.354540	+	0.236896i	0.720067	−	0.693905i	$-0.244111\pi$
$739$	9.63802	+	6.43992i	0.354540	+	0.236896i	−0.365527	+	0.930801i	$0.619111\pi$
$740$	−2.95704	−	21.2395i	−0.108703	−	0.780781i
$741$	19.7304	−	8.87812i	0.724816	−	0.326146i
$742$	−60.5711	−	20.3103i	−2.22364	−	0.745616i
$743$	−4.61268	−	1.91064i	−0.169223	−	0.0700944i	0.296464	−	0.955044i	$-0.404193\pi$
$743$	−4.61268	−	1.91064i	−0.169223	−	0.0700944i	−0.465687	+	0.884950i	$0.654193\pi$
$744$	−0.160175	−	3.87778i	−0.00587232	−	0.142166i
$745$	−2.90573	+	1.20359i	−0.106458	+	0.0440962i
$746$	−0.0257996	−	0.372409i	−0.000944590	−	0.0136349i
$747$	5.35435	+	20.4056i	0.195906	+	0.746603i
$748$	1.17135	−	0.407358i	0.0428289	−	0.0148945i
$749$	−82.8532	+	16.4805i	−3.02739	+	0.602186i
$750$	22.4149	−	12.0134i	0.818476	−	0.438667i
$751$	−10.8984	−	10.8984i	−0.397689	−	0.397689i	0.479728	−	0.877417i	$-0.340735\pi$
$751$	−10.8984	−	10.8984i	−0.397689	−	0.397689i	−0.877417	+	0.479728i	$0.840735\pi$
$752$	−10.1470	−	35.7351i	−0.370023	−	1.30312i
$753$	−12.4562	−	2.08974i	−0.453930	−	0.0761543i
$754$	−35.1300	−	45.4317i	−1.27936	−	1.65452i
$755$	7.01029	−	1.39443i	0.255130	−	0.0507486i
$756$	−10.4370	−	44.8323i	−0.379589	−	1.63054i
$757$	−25.1434	−	37.6298i	−0.913852	−	1.36768i	−0.929903	−	0.367805i	$-0.880109\pi$
$757$	−25.1434	−	37.6298i	−0.913852	−	1.36768i	0.0160505	−	0.999871i	$-0.494891\pi$
$758$	−15.7636	+	18.1103i	−0.572561	+	0.657797i
$759$	0.643320	+	0.402360i	0.0233510	+	0.0146047i
$760$	−10.7112	+	0.119455i	−0.388538	+	0.00433310i
$761$	−0.0585145	−	0.0242375i	−0.00212115	−	0.000878609i	0.381623	−	0.924318i	$-0.375365\pi$
$761$	−0.0585145	−	0.0242375i	−0.00212115	−	0.000878609i	−0.383744	+	0.923440i	$0.625365\pi$
$762$	−14.7763	+	27.7193i	−0.535287	+	1.00416i
$763$	4.93478	−	24.8088i	0.178651	−	0.898140i
$764$	−11.8138	−	20.1152i	−0.427407	−	0.727742i
$765$	−5.69483	+	4.32304i	−0.205897	+	0.156300i
$766$	21.7196	+	12.4324i	0.784759	+	0.449200i
$767$	−1.94661			−0.0702879
$768$	−15.2676	−	23.1279i	−0.550921	−	0.834557i
$769$	12.7365			0.459291			0.229645	−	0.973274i	$-0.426243\pi$
$769$	12.7365			0.459291			0.229645	+	0.973274i	$0.426243\pi$
$770$	−2.10410	−	1.20440i	−0.0758266	−	0.0434035i
$771$	−0.710486	−	23.5730i	−0.0255875	−	0.848963i
$772$	−19.9327	−	33.9393i	−0.717395	−	1.22150i
$773$	−2.60281	+	13.0852i	−0.0936167	+	0.470643i	0.905328	+	0.424713i	$0.139625\pi$
$773$	−2.60281	+	13.0852i	−0.0936167	+	0.470643i	−0.998945	+	0.0459299i	$0.985375\pi$
$774$	−5.21980	−	40.1042i	−0.187622	−	1.44152i
$775$	−2.57082	−	1.06487i	−0.0923464	−	0.0382511i
$776$	−41.0843	+	0.458185i	−1.47484	+	0.0164479i
$777$	−35.7637	+	57.1813i	−1.28301	+	2.05137i
$778$	−16.2084	+	18.6213i	−0.581100	+	0.667607i
$779$	1.26015	+	1.88595i	0.0451496	+	0.0675712i
$780$	−14.3899	+	9.04506i	−0.515239	+	0.323865i
$781$	1.59012	−	0.316295i	0.0568991	−	0.0113179i
$782$	−2.33365	−	3.01798i	−0.0834511	−	0.107923i
$783$	46.0658	+	25.0856i	1.64626	+	0.896485i
$784$	−48.5569	+	13.7878i	−1.73418	+	0.492421i
$785$	−6.22100	−	6.22100i	−0.222037	−	0.222037i
$786$	−13.7037	−	25.5688i	−0.488796	−	0.912009i
$787$	27.0243	−	5.37547i	0.963313	−	0.191615i	0.311712	−	0.950177i	$-0.399098\pi$
$787$	27.0243	−	5.37547i	0.963313	−	0.191615i	0.651601	+	0.758562i	$0.274098\pi$
$788$	−8.69493	+	3.02381i	−0.309744	+	0.107719i
$789$	0.656310	−	1.73014i	0.0233652	−	0.0615948i
$790$	0.812034	+	11.7214i	0.0288909	+	0.417030i
$791$	−31.2617	+	12.9490i	−1.11154	+	0.460414i
$792$	−2.12642	+	1.65190i	−0.0755589	+	0.0586976i
$793$	−14.4482	−	5.98463i	−0.513069	−	0.212520i
$794$	20.3185	+	6.81307i	0.721076	+	0.241787i
$795$	−8.84085	−	19.6476i	−0.313553	−	0.696829i
$796$	−2.90996	−	20.9014i	−0.103141	−	0.740830i
$797$	−38.9500	−	26.0255i	−1.37968	−	0.921871i	−0.379683	−	0.925116i	$-0.623967\pi$
$797$	−38.9500	−	26.0255i	−1.37968	−	0.921871i	−0.999995	+	0.00324505i	$0.998967\pi$
$798$	26.0666	+	21.3434i	0.922747	+	0.755547i
$799$	18.1471			0.641999
$800$	−19.6477	+	2.95914i	−0.694652	+	0.104621i
$801$	−16.9162	+	48.9969i	−0.597706	+	1.73122i
$802$	0.547900	+	2.01480i	0.0193470	+	0.0711452i
$803$	1.23859	−	1.85367i	0.0437088	−	0.0654148i
$804$	4.08764	+	0.114012i	0.144160	+	0.00402089i
$805$	−1.45498	+	7.31468i	−0.0512813	+	0.257808i
$806$	4.27322	+	1.43287i	0.150518	+	0.0504707i
$807$	5.27954	+	22.9113i	0.185848	+	0.806516i
$808$	5.30968	−	28.3418i	0.186794	−	0.997062i
$809$	−8.96181	−	21.6357i	−0.315080	−	0.760671i	−0.999501	−	0.0315840i	$-0.989945\pi$
$809$	−8.96181	−	21.6357i	−0.315080	−	0.760671i	0.684421	−	0.729087i	$-0.260055\pi$
$810$	8.71029	−	12.8498i	0.306048	−	0.451495i
$811$	14.6100	+	21.8654i	0.513025	+	0.767797i	0.994052	−	0.108909i	$-0.0347358\pi$
$811$	14.6100	+	21.8654i	0.513025	+	0.767797i	−0.481026	+	0.876706i	$0.659736\pi$
$812$	38.9544	−	80.4949i	1.36703	−	2.82482i
$813$	34.1552	−	36.2780i	1.19787	−	1.27232i
$814$	3.91339	+	0.500415i	0.137164	+	0.0175395i
$815$	−13.2210	+	13.2210i	−0.463110	+	0.463110i
$816$	12.9059	−	4.08860i	0.451796	−	0.143130i
$817$	20.9301	+	20.9301i	0.732250	+	0.732250i
$818$	26.9907	+	34.9055i	0.943706	+	1.22044i
$819$	52.9611	+	7.25222i	1.85061	+	0.253413i
$820$	−1.18478	−	1.33089i	−0.0413742	−	0.0464766i
$821$	23.1210	−	15.4490i	0.806929	−	0.539173i	−0.0823148	−	0.996606i	$-0.526231\pi$
$821$	23.1210	−	15.4490i	0.806929	−	0.539173i	0.889244	+	0.457434i	$0.151231\pi$
$822$	−34.7109	−	3.37937i	−1.21068	−	0.117869i
$823$	−6.39441	+	2.64865i	−0.222895	+	0.0923262i	−0.491336	−	0.870970i	$-0.663491\pi$
$823$	−6.39441	+	2.64865i	−0.222895	+	0.0923262i	0.268441	+	0.963296i	$0.413491\pi$
$824$	−14.1394	−	5.67285i	−0.492570	−	0.197623i
$825$	0.433505	+	1.88126i	0.0150927	+	0.0654970i
$826$	−1.35073	−	2.71352i	−0.0469977	−	0.0944156i
$827$	35.8256	+	7.12616i	1.24578	+	0.247801i	0.773584	−	0.633694i	$-0.218462\pi$
$827$	35.8256	+	7.12616i	1.24578	+	0.247801i	0.472195	+	0.881494i	$0.343462\pi$
$828$	6.89748	+	4.58638i	0.239704	+	0.159388i
$829$	21.0605	+	14.0722i	0.731460	+	0.488746i	0.864669	−	0.502342i	$-0.167528\pi$
$829$	21.0605	+	14.0722i	0.731460	+	0.488746i	−0.133209	+	0.991088i	$0.542528\pi$
$830$	10.5269	+	6.02564i	0.365394	+	0.209153i
$831$	−16.4267	+	11.7068i	−0.569836	+	0.406105i
$832$	31.4163	−	6.98088i	1.08916	−	0.242018i
$833$		−	24.6583i		−	0.854361i
$834$	−7.77759	+	0.774845i	−0.269316	+	0.0268307i
$835$	11.4368	−	17.1164i	0.395787	−	0.592338i
$836$	0.495898	−	1.90732i	0.0171510	−	0.0659662i
$837$	−4.09971	+	0.371593i	−0.141707	+	0.0128441i
$838$	5.24551	−	2.61108i	0.181203	−	0.0901984i
$839$	2.11414	−	5.10398i	0.0729882	−	0.176209i	−0.883175	−	0.469044i	$-0.844599\pi$
$839$	2.11414	−	5.10398i	0.0729882	−	0.176209i	0.956163	+	0.292835i	$0.0945986\pi$
$840$	−22.5935	−	13.7829i	−0.779551	−	0.475554i
$841$	27.8982	+	67.3522i	0.962007	+	2.32249i
$842$	−10.1506	+	11.6617i	−0.349812	+	0.401888i
$843$	−6.49551	+	17.1233i	−0.223717	+	0.589757i
$844$	−10.4267	−	11.7125i	−0.358901	−	0.403162i
$845$	−0.757390	−	3.80766i	−0.0260550	−	0.130987i
$846$	−37.3287	+	12.6102i	−1.28339	+	0.433547i
$847$	−34.1368	+	34.1368i	−1.17296	+	1.17296i
$848$	3.27310	+	40.6636i	0.112399	+	1.39639i
$849$	31.2023	+	5.23472i	1.07086	+	0.179655i
$850$	1.23116	−	9.62799i	0.0422283	−	0.330237i
$851$	−2.36768	−	11.9032i	−0.0811632	−	0.408035i
$852$	17.4478	−	2.96747i	0.597751	−	0.101664i
$853$	10.5417	−	7.04376i	0.360942	−	0.241174i	−0.361855	−	0.932235i	$-0.617856\pi$
$853$	10.5417	−	7.04376i	0.360942	−	0.241174i	0.722797	+	0.691061i	$0.242856\pi$
$854$	−1.68297	−	24.2931i	−0.0575899	−	0.831291i
$855$	0.684256	+	11.3411i	0.0234011	+	0.387857i
$856$	30.4678	+	44.5155i	1.04137	+	1.52151i
$857$	−13.3239	+	32.1667i	−0.455135	+	1.09879i	0.515208	+	0.857065i	$0.327714\pi$
$857$	−13.3239	+	32.1667i	−0.455135	+	1.09879i	−0.970344	+	0.241729i	$0.922286\pi$
$858$	−0.911065	−	2.99128i	−0.0311033	−	0.102121i
$859$	−36.9900	−	7.35778i	−1.26208	−	0.251044i	−0.481695	−	0.876339i	$-0.659979\pi$
$859$	−36.9900	−	7.35778i	−1.26208	−	0.251044i	−0.780389	+	0.625295i	$0.784979\pi$
$860$	−18.5522	−	14.0177i	−0.632625	−	0.478000i
$861$	0.168827	+	5.60149i	0.00575362	+	0.190898i
$862$	−40.9972	+	11.1487i	−1.39637	+	0.379725i
$863$		−	14.2163i		−	0.483929i	−0.970285	−	0.241965i	$-0.922208\pi$
$863$		−	14.2163i		−	0.483929i	0.970285	−	0.241965i	$-0.0777918\pi$
$864$	−23.7064	+	17.3784i	−0.806507	+	0.591225i
$865$			6.38731i			0.217175i
$866$	−9.15407	−	33.6624i	−0.311068	−	1.14390i
$867$	−0.687820	−	22.8210i	−0.0233596	−	0.775042i
$868$	0.967746	+	6.95102i	0.0328474	+	0.235933i
$869$	−2.12010	−	0.421714i	−0.0719194	−	0.0143057i
$870$	28.8497	−	8.78685i	0.978096	−	0.297902i
$871$	−1.81728	+	4.38729i	−0.0615761	+	0.148658i
$872$	−15.8059	+	3.32765i	−0.535256	+	0.112688i
$873$	2.62455	+	43.5001i	0.0888275	+	1.47226i
$874$	−6.04786	+	0.418982i	−0.204572	+	0.0141723i
$875$	−38.2365	+	25.5488i	−1.29263	+	0.863708i
$876$	14.0797	−	19.8504i	0.475709	−	0.670684i
$877$	−10.5740	−	53.1592i	−0.357059	−	1.79506i	−0.573979	−	0.818870i	$-0.694601\pi$
$877$	−10.5740	−	53.1592i	−0.357059	−	1.79506i	0.216920	−	0.976189i	$-0.430399\pi$
$878$	45.9284	+	5.87299i	1.55001	+	0.198204i
$879$	−4.41361	−	0.740457i	−0.148867	−	0.0249750i
$880$	−0.179230	+	1.53774i	−0.00604184	+	0.0518372i
$881$	22.0287	−	22.0287i	0.742167	−	0.742167i	−0.230828	−	0.972995i	$-0.574143\pi$
$881$	22.0287	−	22.0287i	0.742167	−	0.742167i	0.972995	+	0.230828i	$0.0741434\pi$
$882$	17.1347	+	50.7224i	0.576957	+	1.70791i
$883$	1.34585	+	6.76605i	0.0452915	+	0.227696i	0.996801	−	0.0799237i	$-0.0254677\pi$
$883$	1.34585	+	6.76605i	0.0452915	+	0.227696i	−0.951509	+	0.307619i	$0.900468\pi$
$884$	−0.911578	+	15.6951i	−0.0306597	+	0.527883i
$885$	0.362560	−	0.955770i	0.0121873	−	0.0321279i
$886$	−9.43866	−	8.21562i	−0.317098	−	0.276009i
$887$	−18.6660	−	45.0638i	−0.626744	−	1.51309i	−0.843645	−	0.536901i	$-0.819595\pi$
$887$	−18.6660	−	45.0638i	−0.626744	−	1.51309i	0.216901	−	0.976194i	$-0.430405\pi$
$888$	42.5508	+	6.65163i	1.42791	+	0.223214i
$889$	21.7368	−	52.4772i	0.729028	−	1.76003i
$890$	13.2806	+	26.6800i	0.445168	+	0.894315i
$891$	1.86070	+	2.16668i	0.0623359	+	0.0725864i
$892$	3.92595	+	6.68468i	0.131451	+	0.223820i
$893$	16.0212	−	23.9774i	0.536129	−	0.802374i
$894$	−0.626184	−	6.28539i	−0.0209427	−	0.210215i
$895$		−	19.5597i		−	0.653807i
$896$	31.5305	+	38.9496i	1.05336	+	1.30122i
$897$	−7.83335	+	5.58260i	−0.261548	+	0.186398i
$898$	−6.58503	+	11.5042i	−0.219745	+	0.383899i
$899$	−6.64943	−	4.44301i	−0.221771	−	0.148183i
$900$	4.15786	+	20.6604i	0.138595	+	0.688679i
$901$	−19.5460	−	3.88793i	−0.651170	−	0.129526i
$902$	0.293468	−	0.146081i	0.00977142	−	0.00486397i
$903$	16.4215	+	71.2635i	0.546474	+	2.37150i
$904$	15.4482	+	15.1074i	0.513798	+	0.502464i
$905$	−19.7977	+	8.20046i	−0.658097	+	0.272593i
$906$	−1.39098	+	14.2873i	−0.0462122	+	0.474664i
$907$	8.56980	−	5.72616i	0.284556	−	0.190134i	−0.405098	−	0.914273i	$-0.632763\pi$
$907$	8.56980	−	5.72616i	0.284556	−	0.190134i	0.689654	+	0.724139i	$0.257763\pi$
$908$	23.7318	+	1.37836i	0.787569	+	0.0457423i
$909$	−30.3013	−	4.14929i	−1.00503	−	0.137623i
$910$	24.3135	−	18.8004i	0.805983	−	0.623227i
$911$	−11.4738	−	11.4738i	−0.380144	−	0.380144i	0.491010	−	0.871154i	$-0.336628\pi$
$911$	−11.4738	−	11.4738i	−0.380144	−	0.380144i	−0.871154	+	0.491010i	$0.836628\pi$
$912$	5.99178	−	20.6619i	0.198408	−	0.684184i
$913$	−1.57793	+	1.57793i	−0.0522218	+	0.0522218i
$914$	6.31247	−	49.3653i	0.208798	−	1.63286i
$915$	5.62941	−	5.97930i	0.186103	−	0.197669i
$916$	0.294652	−	0.102470i	0.00973559	−	0.00338571i
$917$	29.1437	+	43.6166i	0.962410	+	1.44035i
$918$	−5.00337	−	13.4594i	−0.165136	−	0.444225i
$919$	10.7949	+	26.0612i	0.356091	+	0.859680i	0.995842	+	0.0910975i	$0.0290375\pi$
$919$	10.7949	+	26.0612i	0.356091	+	0.859680i	−0.639751	+	0.768582i	$0.720962\pi$
$920$	4.66025	−	0.981130i	0.153644	−	0.0323469i
$921$	−5.55602	−	24.1111i	−0.183077	−	0.794489i
$922$	3.34072	−	9.96296i	0.110021	−	0.328113i
$923$	−4.00966	+	20.1579i	−0.131980	+	0.663507i
$924$	3.53760	−	3.34561i	0.116379	−	0.110063i
$925$	17.1550	−	25.6743i	0.564054	−	0.844167i
$926$	−6.33098	+	1.72163i	−0.208049	+	0.0565763i
$927$	−5.27350	+	15.2744i	−0.173205	+	0.501677i
$928$	−57.0411	−	2.67510i	−1.87247	−	0.0878145i
$929$	26.1568			0.858178			0.429089	−	0.903262i	$-0.358835\pi$
$929$	26.1568			0.858178			0.429089	+	0.903262i	$0.358835\pi$
$930$	−1.49943	+	1.83125i	−0.0491682	+	0.0600490i
$931$	−32.5806	−	21.7697i	−1.06779	−	0.713472i
$932$	4.40672	−	5.83222i	0.144347	−	0.191041i
$933$	12.2139	+	27.1437i	0.399864	+	0.888644i
$934$	14.7997	−	44.1369i	0.484261	−	1.44420i
$935$	−0.698720	−	0.289419i	−0.0228506	−	0.00946503i
$936$	−9.03118	−	32.9184i	−0.295193	−	1.07597i
$937$	21.5758	−	8.93698i	0.704850	−	0.291958i	−0.00132183	−	0.999999i	$-0.500421\pi$
$937$	21.5758	−	8.93698i	0.704850	−	0.291958i	0.706171	+	0.708041i	$0.250421\pi$
$938$	−7.37677	+	0.511045i	−0.240860	+	0.0166862i
$939$	−5.16622	+	13.6190i	−0.168593	+	0.444441i
$940$	−9.86820	+	20.3915i	−0.321865	+	0.665098i
$941$	22.2817	−	4.43210i	0.726362	−	0.144482i	0.181959	−	0.983306i	$-0.441756\pi$
$941$	22.2817	−	4.43210i	0.726362	−	0.144482i	0.544403	+	0.838824i	$0.316756\pi$
$942$	15.5733	−	8.34661i	0.507406	−	0.271947i
$943$	−0.713063	−	0.713063i	−0.0232205	−	0.0232205i
$944$	−1.25443	+	1.47405i	−0.0408282	+	0.0479762i
$945$	−13.4249	+	24.6528i	−0.436713	+	0.801956i
$946$	3.38419	−	2.61682i	0.110029	−	0.0850803i
$947$	−28.4301	+	5.65510i	−0.923854	+	0.183766i	−0.634025	−	0.773312i	$-0.718598\pi$
$947$	−28.4301	+	5.65510i	−0.923854	+	0.183766i	−0.289829	+	0.957078i	$0.593598\pi$
$948$	−23.0063	−	5.24704i	−0.747210	−	0.170416i
$949$	15.7015	+	23.4990i	0.509693	+	0.762809i
$950$	−11.6344	−	10.1268i	−0.377468	−	0.328557i
$951$	8.86077	−	14.1672i	0.287330	−	0.459403i
$952$	−22.5111	+	9.61990i	−0.729589	+	0.311783i
$953$	−38.0619	−	15.7658i	−1.23295	−	0.510703i	−0.331443	−	0.943475i	$-0.607535\pi$
$953$	−38.0619	−	15.7658i	−1.23295	−	0.510703i	−0.901503	+	0.432773i	$0.857535\pi$
$954$	42.9079	−	5.58471i	1.38919	−	0.180812i
$955$	−2.77535	+	13.9526i	−0.0898083	+	0.451497i
$956$	40.9619	+	10.6499i	1.32480	+	0.344444i
$957$	0.167151	+	5.54586i	0.00540321	+	0.179272i
$958$	−26.7367	+	46.7095i	−0.863825	+	1.50912i
$959$	63.0636			2.03643
$960$	−2.42379	+	16.7254i	−0.0782276	+	0.539809i
$961$	−30.3724			−0.979754
$962$	−24.8458	+	43.4059i	−0.801059	+	1.39946i
$963$	45.5726	−	34.5949i	1.46856	−	1.11480i
$964$	2.20429	−	8.47815i	0.0709954	−	0.273063i
$965$	−4.68270	+	23.5415i	−0.150741	+	0.757829i
$966$	−13.2175	−	7.04582i	−0.425265	−	0.226695i
$967$	−17.4377	−	7.22293i	−0.560759	−	0.232274i	0.0842559	−	0.996444i	$-0.473149\pi$
$967$	−17.4377	−	7.22293i	−0.560759	−	0.232274i	−0.645014	+	0.764170i	$0.723149\pi$
$968$	28.6110	+	11.4790i	0.919593	+	0.368948i
$969$	8.91020	+	5.57282i	0.286237	+	0.179025i
$970$	18.8994	+	16.4504i	0.606822	+	0.528191i
$971$	−0.270826	−	0.405320i	−0.00869122	−	0.0130073i	0.827099	−	0.562057i	$-0.189990\pi$
$971$	−0.270826	−	0.405320i	−0.00869122	−	0.0130073i	−0.835790	+	0.549050i	$0.814990\pi$
$972$	19.6447	+	24.2092i	0.630103	+	0.776511i
$973$	13.8621	−	2.75733i	0.444397	−	0.0883961i
$974$	−11.7630	+	9.09575i	−0.376911	+	0.291447i
$975$	−24.1363	−	4.04928i	−0.772982	−	0.129681i
$976$	−13.8425	+	7.08414i	−0.443086	+	0.226758i
$977$	13.5643	+	13.5643i	0.433959	+	0.433959i	0.889973	−	0.456014i	$-0.150723\pi$
$977$	13.5643	+	13.5643i	0.433959	+	0.433959i	−0.456014	+	0.889973i	$0.650723\pi$
$978$	−17.7383	−	33.0966i	−0.567209	−	1.05831i
$979$	−5.37761	+	1.06967i	−0.171869	+	0.0341869i
$980$	27.7080	+	13.4089i	0.885101	+	0.428333i
$981$	4.34822	+	16.5712i	0.138828	+	0.529079i
$982$	21.5826	−	1.49519i	0.688729	−	0.0477135i
$983$	36.3089	−	15.0396i	1.15807	−	0.479689i	0.280840	−	0.959755i	$-0.409387\pi$
$983$	36.3089	−	15.0396i	1.15807	−	0.479689i	0.877233	+	0.480065i	$0.159387\pi$
$984$	3.24680	−	1.50473i	0.103504	−	0.0479690i
$985$	5.18659	+	2.14835i	0.165258	+	0.0684523i
$986$	8.86858	−	26.4486i	0.282433	−	0.842295i
$987$	64.9734	−	29.2361i	2.06813	−	0.930596i
$988$	19.9328	+	15.0609i	0.634148	+	0.479151i
$989$	−10.9419	−	7.31111i	−0.347931	−	0.232480i
$990$	1.63839	+	0.109807i	0.0520713	+	0.00348989i
$991$	13.0781			0.415440			0.207720	−	0.978188i	$-0.433396\pi$
$991$	13.0781			0.415440			0.207720	+	0.978188i	$0.433396\pi$
$992$	3.83877	−	2.31249i	0.121881	−	0.0734217i
$993$	27.0884	−	19.3051i	0.859623	−	0.612628i
$994$	−30.8819	+	8.39795i	−0.979516	+	0.266367i
$995$	−7.14976	+	10.7004i	−0.226663	+	0.339224i
$996$	−17.6987	+	16.7382i	−0.560805	+	0.530370i
$997$	2.67424	−	13.4443i	0.0846940	−	0.425785i	−0.915054	−	0.403332i	$-0.867852\pi$
$997$	2.67424	−	13.4443i	0.0846940	−	0.425785i	0.999748	−	0.0224538i	$-0.00714788\pi$
$998$	3.63604	−	10.8437i	0.115097	−	0.343251i
$999$	4.83110	−	45.4239i	0.152849	−	1.43715i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.59.27	yes	240
3.2	odd	2	inner	192.2.s.a.59.4	✓	240
4.3	odd	2		768.2.s.a.143.1		240
12.11	even	2		768.2.s.a.143.18		240
64.13	even	16		768.2.s.a.623.18		240
64.51	odd	16	inner	192.2.s.a.179.4	yes	240
192.77	odd	16		768.2.s.a.623.1		240
192.179	even	16	inner	192.2.s.a.179.27	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.4	✓	240	3.2	odd	2	inner
192.2.s.a.59.27	yes	240	1.1	even	1	trivial
192.2.s.a.179.4	yes	240	64.51	odd	16	inner
192.2.s.a.179.27	yes	240	192.179	even	16	inner
768.2.s.a.143.1		240	4.3	odd	2
768.2.s.a.143.18		240	12.11	even	2
768.2.s.a.623.1		240	192.77	odd	16
768.2.s.a.623.18		240	64.13	even	16

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(1.22736 + 0.702549i) q^{2} +(1.73126 - 0.0521799i) q^{3} +(1.01285 + 1.72457i) q^{4} +(0.237944 - 1.19622i) q^{5} +(2.16155 + 1.15225i) q^{6} +(-4.09218 - 1.69504i) q^{7} +(0.0315416 + 2.82825i) q^{8} +(2.99455 - 0.180674i) q^{9} +O(q^{10})\)	\(q+(1.22736 + 0.702549i) q^{2} +(1.73126 - 0.0521799i) q^{3} +(1.01285 + 1.72457i) q^{4} +(0.237944 - 1.19622i) q^{5} +(2.16155 + 1.15225i) q^{6} +(-4.09218 - 1.69504i) q^{7} +(0.0315416 + 2.82825i) q^{8} +(2.99455 - 0.180674i) q^{9} +(1.13245 - 1.30104i) q^{10} +(0.176301 + 0.263852i) q^{11} +(1.84350 + 2.93283i) q^{12} +(-3.94552 + 0.784813i) q^{13} +(-3.83176 - 4.95539i) q^{14} +(0.349525 - 2.08340i) q^{15} +(-1.94827 + 3.49346i) q^{16} +(-1.38172 - 1.38172i) q^{17} +(3.80234 + 1.88207i) q^{18} +(-3.04549 + 0.605786i) q^{19} +(2.30397 - 0.801244i) q^{20} +(-7.17310 - 2.72103i) q^{21} +(0.0310158 + 0.447703i) q^{22} +(1.27543 - 0.528302i) q^{23} +(0.202185 + 4.89481i) q^{24} +(3.24506 + 1.34415i) q^{25} +(-5.39396 - 1.80867i) q^{26} +(5.17494 - 0.469051i) q^{27} +(-1.22156 - 8.77407i) q^{28} +(8.39338 + 5.60828i) q^{29} +(1.89268 - 2.31153i) q^{30} -0.792224 q^{31} +(-4.84557 + 2.91899i) q^{32} +(0.318991 + 0.447599i) q^{33} +(-0.725148 - 2.66660i) q^{34} +(-3.00135 + 4.49184i) q^{35} +(3.34462 + 4.98132i) q^{36} +(1.71507 - 8.62222i) q^{37} +(-4.16353 - 1.39609i) q^{38} +(-6.78979 + 1.56460i) q^{39} +(3.39073 + 0.635234i) q^{40} +(-0.279537 - 0.674863i) q^{41} +(-6.89235 - 8.37915i) q^{42} +(-5.29591 - 7.92589i) q^{43} +(-0.276466 + 0.571285i) q^{44} +(0.496408 - 3.62515i) q^{45} +(1.93658 + 0.247636i) q^{46} +(-6.56686 + 6.56686i) q^{47} +(-3.19069 + 6.14976i) q^{48} +(8.92307 + 8.92307i) q^{49} +(3.03855 + 3.92958i) q^{50} +(-2.46422 - 2.32002i) q^{51} +(-5.34968 - 6.00942i) q^{52} +(8.47998 - 5.66614i) q^{53} +(6.68107 + 3.05995i) q^{54} +(0.357576 - 0.148113i) q^{55} +(4.66492 - 11.6272i) q^{56} +(-5.24094 + 1.20769i) q^{57} +(6.36165 + 12.7802i) q^{58} +(0.474594 + 0.0944025i) q^{59} +(3.94697 - 1.50739i) q^{60} +(3.23231 + 2.15976i) q^{61} +(-0.972347 - 0.556576i) q^{62} +(-12.5605 - 4.33653i) q^{63} +(-7.99801 + 0.178415i) q^{64} +4.90647i q^{65} +(0.0770577 + 0.773474i) q^{66} +(0.655828 - 0.981516i) q^{67} +(0.983396 - 3.78234i) q^{68} +(2.18055 - 0.981183i) q^{69} +(-6.83950 + 3.40453i) q^{70} +(1.95516 - 4.72016i) q^{71} +(0.605445 + 8.46365i) q^{72} +(-2.68851 - 6.49064i) q^{73} +(8.16254 - 9.37769i) q^{74} +(5.68820 + 2.15775i) q^{75} +(-4.12935 - 4.63859i) q^{76} +(-0.274214 - 1.37857i) q^{77} +(-9.43275 - 2.84983i) q^{78} +(-4.81673 + 4.81673i) q^{79} +(3.71538 + 3.16182i) q^{80} +(8.93471 - 1.08208i) q^{81} +(0.131030 - 1.02469i) q^{82} +(1.37190 + 6.89702i) q^{83} +(-2.57267 - 15.1265i) q^{84} +(-1.98162 + 1.32407i) q^{85} +(-0.931687 - 13.4486i) q^{86} +(14.8238 + 9.27144i) q^{87} +(-0.740680 + 0.506945i) q^{88} +(-6.61212 + 15.9631i) q^{89} +(3.15612 - 4.10063i) q^{90} +(17.4761 + 3.47621i) q^{91} +(2.20292 + 1.66448i) q^{92} +(-1.37155 + 0.0413381i) q^{93} +(-12.6735 + 3.44639i) q^{94} +3.78723i q^{95} +(-8.23664 + 5.30638i) q^{96} +14.5264i q^{97} +(4.68297 + 17.2208i) q^{98} +(0.575613 + 0.758268i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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