LMFDB - Embedded newform 192.2.s.a.107.28

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			107.28
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.35281 - 0.412192i) q^{2} +(1.67117 + 0.455172i) q^{3} +(1.66020 - 1.11524i) q^{4} +(-1.35023 - 2.02077i) q^{5} +(2.44840 - 0.0730812i) q^{6} +(-1.74608 + 4.21542i) q^{7} +(1.78624 - 2.19302i) q^{8} +(2.58564 + 1.52134i) q^{9} +O(q^{10})$	\(q+(1.35281 - 0.412192i) q^{2} +(1.67117 + 0.455172i) q^{3} +(1.66020 - 1.11524i) q^{4} +(-1.35023 - 2.02077i) q^{5} +(2.44840 - 0.0730812i) q^{6} +(-1.74608 + 4.21542i) q^{7} +(1.78624 - 2.19302i) q^{8} +(2.58564 + 1.52134i) q^{9} +(-2.65955 - 2.17716i) q^{10} +(-4.91888 - 0.978426i) q^{11} +(3.28210 - 1.10807i) q^{12} +(-2.86206 - 1.91237i) q^{13} +(-0.624561 + 6.42239i) q^{14} +(-1.33668 - 3.99164i) q^{15} +(1.51250 - 3.70302i) q^{16} +(1.70638 + 1.70638i) q^{17} +(4.12496 + 0.992313i) q^{18} +(2.92775 + 1.95626i) q^{19} +(-4.49528 - 1.84904i) q^{20} +(-4.83675 + 6.24993i) q^{21} +(-7.05762 + 0.703896i) q^{22} +(0.396316 + 0.956791i) q^{23} +(3.98332 - 2.85187i) q^{24} +(-0.346951 + 0.837614i) q^{25} +(-4.66008 - 1.40735i) q^{26} +(3.62857 + 3.71934i) q^{27} +(1.80234 + 8.94572i) q^{28} +(0.283033 + 1.42290i) q^{29} +(-3.45359 - 4.84897i) q^{30} +1.28385 q^{31} +(0.519775 - 5.63292i) q^{32} +(-7.77495 - 3.87406i) q^{33} +(3.01177 + 1.60506i) q^{34} +(10.8760 - 2.16337i) q^{35} +(5.98932 - 0.357864i) q^{36} +(-4.96454 - 7.42995i) q^{37} +(4.76705 + 1.43966i) q^{38} +(-3.91254 - 4.49862i) q^{39} +(-6.84343 - 0.648485i) q^{40} +(0.448865 - 0.185926i) q^{41} +(-3.96704 + 10.4486i) q^{42} +(2.10425 + 0.418561i) q^{43} +(-9.25748 + 3.86133i) q^{44} +(-0.416931 - 7.27914i) q^{45} +(0.930522 + 1.13100i) q^{46} +(-3.15360 + 3.15360i) q^{47} +(4.21316 - 5.49993i) q^{48} +(-9.77121 - 9.77121i) q^{49} +(-0.124102 + 1.27614i) q^{50} +(2.07496 + 3.62836i) q^{51} +(-6.88431 + 0.0169654i) q^{52} +(-0.610237 + 3.06787i) q^{53} +(6.44185 + 3.53590i) q^{54} +(4.66447 + 11.2610i) q^{55} +(6.12558 + 11.3590i) q^{56} +(4.00234 + 4.60188i) q^{57} +(0.969399 + 1.80826i) q^{58} +(12.0269 - 8.03610i) q^{59} +(-6.67076 - 5.13620i) q^{60} +(1.00667 + 5.06086i) q^{61} +(1.73680 - 0.529192i) q^{62} +(-10.9278 + 8.24315i) q^{63} +(-1.61869 - 7.83453i) q^{64} +8.36569i q^{65} +(-12.1149 - 2.03610i) q^{66} +(-14.2933 + 2.84310i) q^{67} +(4.73595 + 0.929913i) q^{68} +(0.226807 + 1.77936i) q^{69} +(13.8215 - 7.40963i) q^{70} +(4.14017 + 1.71492i) q^{71} +(7.95491 - 2.95287i) q^{72} +(3.01531 - 1.24898i) q^{73} +(-9.77865 - 8.00498i) q^{74} +(-0.961074 + 1.24187i) q^{75} +(7.04233 - 0.0173548i) q^{76} +(12.7133 - 19.0267i) q^{77} +(-7.14722 - 4.47307i) q^{78} +(8.12715 - 8.12715i) q^{79} +(-9.52516 + 1.94353i) q^{80} +(4.37103 + 7.86728i) q^{81} +(0.530593 - 0.436542i) q^{82} +(-1.43547 + 2.14834i) q^{83} +(-1.05982 + 15.7702i) q^{84} +(1.14419 - 5.75222i) q^{85} +(3.01918 - 0.301120i) q^{86} +(-0.174669 + 2.50675i) q^{87} +(-10.9320 + 9.03951i) q^{88} +(-3.57762 - 1.48190i) q^{89} +(-3.56443 - 9.67544i) q^{90} +(13.0588 - 8.72562i) q^{91} +(1.72501 + 1.14648i) q^{92} +(2.14553 + 0.584372i) q^{93} +(-2.96634 + 5.56612i) q^{94} -8.55771i q^{95} +(3.43259 - 9.17700i) q^{96} +6.01319i q^{97} +(-17.2462 - 9.19099i) q^{98} +(-11.2299 - 10.0132i) 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 $

$2$	1.35281	−	0.412192i	0.956582	−	0.291464i
$2$	1.35281	−	0.412192i	0.956582	−	0.291464i
$3$	1.67117	+	0.455172i	0.964852	+	0.262794i
$3$	1.67117	+	0.455172i	0.964852	+	0.262794i
$4$	1.66020	−	1.11524i	0.830098	−	0.557618i
$5$	−1.35023	−	2.02077i	−0.603843	−	0.903714i	0.396052	−	0.918228i	$-0.370380\pi$
$5$	−1.35023	−	2.02077i	−0.603843	−	0.903714i	−0.999895	+	0.0145138i	$0.995380\pi$
$6$	2.44840	−	0.0730812i	0.999555	−	0.0298353i
$7$	−1.74608	+	4.21542i	−0.659958	+	1.59328i	0.137909	+	0.990445i	$0.455962\pi$
$7$	−1.74608	+	4.21542i	−0.659958	+	1.59328i	−0.797866	+	0.602834i	$0.794038\pi$
$8$	1.78624	−	2.19302i	0.631531	−	0.775350i
$9$	2.58564	+	1.52134i	0.861879	+	0.507115i
$10$	−2.65955	−	2.17716i	−0.841025	−	0.688479i
$11$	−4.91888	−	0.978426i	−1.48310	−	0.295007i	−0.613866	−	0.789410i	$-0.710387\pi$
$11$	−4.91888	−	0.978426i	−1.48310	−	0.295007i	−0.869233	+	0.494404i	$0.835387\pi$
$12$	3.28210	−	1.10807i	0.947460	−	0.319874i
$13$	−2.86206	−	1.91237i	−0.793792	−	0.530395i	0.0912932	−	0.995824i	$-0.470900\pi$
$13$	−2.86206	−	1.91237i	−0.793792	−	0.530395i	−0.885085	+	0.465429i	$0.845900\pi$
$14$	−0.624561	+	6.42239i	−0.166921	+	1.71646i
$15$	−1.33668	−	3.99164i	−0.345128	−	1.03064i
$16$	1.51250	−	3.70302i	0.378125	−	0.925754i
$17$	1.70638	+	1.70638i	0.413859	+	0.413859i	0.883081	−	0.469221i	$-0.155465\pi$
$17$	1.70638	+	1.70638i	0.413859	+	0.413859i	−0.469221	+	0.883081i	$0.655465\pi$
$18$	4.12496	+	0.992313i	0.972263	+	0.233890i
$19$	2.92775	+	1.95626i	0.671672	+	0.448797i	0.844072	−	0.536230i	$-0.180152\pi$
$19$	2.92775	+	1.95626i	0.671672	+	0.448797i	−0.172400	+	0.985027i	$0.555152\pi$
$20$	−4.49528	−	1.84904i	−1.00518	−	0.413458i
$21$	−4.83675	+	6.24993i	−1.05547	+	1.36385i
$22$	−7.05762	+	0.703896i	−1.50469	+	0.150071i
$23$	0.396316	+	0.956791i	0.0826376	+	0.199505i	0.959797	−	0.280694i	$-0.0905646\pi$
$23$	0.396316	+	0.956791i	0.0826376	+	0.199505i	−0.877160	+	0.480199i	$0.840565\pi$
$24$	3.98332	−	2.85187i	0.813092	−	0.582136i
$25$	−0.346951	+	0.837614i	−0.0693902	+	0.167523i
$26$	−4.66008	−	1.40735i	−0.913918	−	0.276005i
$27$	3.62857	+	3.71934i	0.698319	+	0.715787i
$28$	1.80234	+	8.94572i	0.340611	+	1.69058i
$29$	0.283033	+	1.42290i	0.0525579	+	0.264226i	0.998126	−	0.0611991i	$-0.0194924\pi$
$29$	0.283033	+	1.42290i	0.0525579	+	0.264226i	−0.945568	+	0.325426i	$0.894492\pi$
$30$	−3.45359	−	4.84897i	−0.630536	−	0.885296i
$31$	1.28385			0.230586			0.115293	−	0.993332i	$-0.463219\pi$
$31$	1.28385			0.230586			0.115293	+	0.993332i	$0.463219\pi$
$32$	0.519775	−	5.63292i	0.0918841	−	0.995770i
$33$	−7.77495	−	3.87406i	−1.35344	−	0.674387i
$34$	3.01177	+	1.60506i	0.516515	+	0.275265i
$35$	10.8760	−	2.16337i	1.83838	−	0.365676i
$36$	5.98932	−	0.357864i	0.998220	−	0.0596440i
$37$	−4.96454	−	7.42995i	−0.816165	−	1.22148i	−0.972299	−	0.233741i	$-0.924903\pi$
$37$	−4.96454	−	7.42995i	−0.816165	−	1.22148i	0.156134	−	0.987736i	$-0.450097\pi$
$38$	4.76705	+	1.43966i	0.773317	+	0.233543i
$39$	−3.91254	−	4.49862i	−0.626507	−	0.720356i
$40$	−6.84343	−	0.648485i	−1.08204	−	0.102535i
$41$	0.448865	−	0.185926i	0.0701010	−	0.0290368i	−0.347357	−	0.937733i	$-0.612921\pi$
$41$	0.448865	−	0.185926i	0.0701010	−	0.0290368i	0.417458	+	0.908696i	$0.362921\pi$
$42$	−3.96704	+	10.4486i	−0.612128	+	1.61226i
$43$	2.10425	+	0.418561i	0.320895	+	0.0638300i	0.352910	−	0.935657i	$-0.385192\pi$
$43$	2.10425	+	0.418561i	0.320895	+	0.0638300i	−0.0320147	+	0.999487i	$0.510192\pi$
$44$	−9.25748	+	3.86133i	−1.39562	+	0.582117i
$45$	−0.416931	−	7.27914i	−0.0621524	−	1.08511i
$46$	0.930522	+	1.13100i	0.137198	+	0.166757i
$47$	−3.15360	+	3.15360i	−0.460001	+	0.460001i	−0.898656	−	0.438655i	$-0.855455\pi$
$47$	−3.15360	+	3.15360i	−0.460001	+	0.460001i	0.438655	+	0.898656i	$0.355455\pi$
$48$	4.21316	−	5.49993i	0.608118	−	0.793847i
$49$	−9.77121	−	9.77121i	−1.39589	−	1.39589i
$50$	−0.124102	+	1.27614i	−0.0175506	+	0.180474i
$51$	2.07496	+	3.62836i	0.290553	+	0.508073i
$52$	−6.88431	+	0.0169654i	−0.954682	+	0.00235268i
$53$	−0.610237	+	3.06787i	−0.0838225	+	0.421404i	0.915974	+	0.401237i	$0.131420\pi$
$53$	−0.610237	+	3.06787i	−0.0838225	+	0.421404i	−0.999797	+	0.0201668i	$0.993580\pi$
$54$	6.44185	+	3.53590i	0.876625	+	0.481174i
$55$	4.66447	+	11.2610i	0.628956	+	1.51843i
$56$	6.12558	+	11.3590i	0.818565	+	1.51790i
$57$	4.00234	+	4.60188i	0.530123	+	0.609534i
$58$	0.969399	+	1.80826i	0.127288	+	0.237436i
$59$	12.0269	−	8.03610i	1.56577	−	1.04621i	0.595750	−	0.803170i	$-0.296855\pi$
$59$	12.0269	−	8.03610i	1.56577	−	1.04621i	0.970016	−	0.243041i	$-0.0781450\pi$
$60$	−6.67076	−	5.13620i	−0.861191	−	0.663080i
$61$	1.00667	+	5.06086i	0.128890	+	0.647976i	0.990173	+	0.139849i	$0.0446619\pi$
$61$	1.00667	+	5.06086i	0.128890	+	0.647976i	−0.861282	+	0.508127i	$0.830338\pi$
$62$	1.73680	−	0.529192i	0.220574	−	0.0672074i
$63$	−10.9278	+	8.24315i	−1.37678	+	1.03854i
$64$	−1.61869	−	7.83453i	−0.202336	−	0.979316i
$65$			8.36569i			1.03764i
$66$	−12.1149	−	2.03610i	−1.49124	−	0.250627i
$67$	−14.2933	+	2.84310i	−1.74620	+	0.347340i	−0.961975	−	0.273138i	$-0.911938\pi$
$67$	−14.2933	+	2.84310i	−1.74620	+	0.347340i	−0.784224	+	0.620478i	$0.786938\pi$
$68$	4.73595	+	0.929913i	0.574319	+	0.112769i
$69$	0.226807	+	1.77936i	0.0273044	+	0.214209i
$70$	13.8215	−	7.40963i	1.65198	−	0.885620i
$71$	4.14017	+	1.71492i	0.491348	+	0.203523i	0.614579	−	0.788855i	$-0.289326\pi$
$71$	4.14017	+	1.71492i	0.491348	+	0.203523i	−0.123231	+	0.992378i	$0.539326\pi$
$72$	7.95491	−	2.95287i	0.937495	−	0.347999i
$73$	3.01531	−	1.24898i	0.352915	−	0.146182i	−0.199181	−	0.979963i	$-0.563828\pi$
$73$	3.01531	−	1.24898i	0.352915	−	0.146182i	0.552096	+	0.833781i	$0.313828\pi$
$74$	−9.77865	−	8.00498i	−1.13674	−	0.930560i
$75$	−0.961074	+	1.24187i	−0.110975	+	0.143399i
$76$	7.04233	−	0.0173548i	0.807811	−	0.00199074i
$77$	12.7133	−	19.0267i	1.44881	−	2.16830i
$78$	−7.14722	−	4.47307i	−0.809263	−	0.506476i
$79$	8.12715	−	8.12715i	0.914375	−	0.914375i	−0.0822374	−	0.996613i	$-0.526207\pi$
$79$	8.12715	−	8.12715i	0.914375	−	0.914375i	0.996613	+	0.0822374i	$0.0262066\pi$
$80$	−9.52516	+	1.94353i	−1.06495	+	0.217293i
$81$	4.37103	+	7.86728i	0.485670	+	0.874142i
$82$	0.530593	−	0.436542i	0.0585942	−	0.0482080i
$83$	−1.43547	+	2.14834i	−0.157564	+	0.235810i	−0.901849	−	0.432051i	$-0.857790\pi$
$83$	−1.43547	+	2.14834i	−0.157564	+	0.235810i	0.744286	+	0.667861i	$0.232790\pi$
$84$	−1.05982	+	15.7702i	−0.115636	+	1.72067i
$85$	1.14419	−	5.75222i	0.124105	−	0.623916i
$86$	3.01918	−	0.301120i	0.325566	−	0.0324706i
$87$	−0.174669	+	2.50675i	−0.0187265	+	0.268751i
$88$	−10.9320	+	9.03951i	−1.16536	+	0.963615i
$89$	−3.57762	−	1.48190i	−0.379226	−	0.157081i	0.184924	−	0.982753i	$-0.440796\pi$
$89$	−3.57762	−	1.48190i	−0.379226	−	0.157081i	−0.564150	+	0.825672i	$0.690796\pi$
$90$	−3.56443	−	9.67544i	−0.375724	−	1.01988i
$91$	13.0588	−	8.72562i	1.36894	−	0.914694i
$92$	1.72501	+	1.14648i	0.179845	+	0.119528i
$93$	2.14553	+	0.584372i	0.222481	+	0.0605966i
$94$	−2.96634	+	5.56612i	−0.305955	+	0.574102i
$95$		−	8.55771i		−	0.878002i
$96$	3.43259	−	9.17700i	0.350337	−	0.936624i
$97$			6.01319i			0.610547i	0.952265	+	0.305273i	$0.0987478\pi$
$97$			6.01319i			0.610547i	−0.952265	+	0.305273i	$0.901252\pi$
$98$	−17.2462	−	9.19099i	−1.74213	−	0.928430i
$99$	−11.2299	−	10.0132i	−1.12865	−	1.00636i
$100$	0.358130	+	1.77753i	0.0358130	+	0.177753i
$101$	6.07018	−	4.05597i	0.604006	−	0.403584i	−0.215625	−	0.976476i	$-0.569179\pi$
$101$	6.07018	−	4.05597i	0.604006	−	0.403584i	0.819630	+	0.572893i	$0.194179\pi$
$102$	4.30262	+	4.05321i	0.426023	+	0.401327i
$103$	7.50199	+	3.10743i	0.739193	+	0.306184i	0.720324	−	0.693638i	$-0.243993\pi$
$103$	7.50199	+	3.10743i	0.739193	+	0.306184i	0.0188696	+	0.999822i	$0.493993\pi$
$104$	−9.30618	+	2.86061i	−0.912546	+	0.280506i
$105$	19.1604	+	1.33509i	1.86986	+	0.130291i
$106$	0.439015	+	4.40178i	0.0426409	+	0.427539i
$107$	1.06363	−	5.34721i	0.102825	−	0.516935i	−0.894703	−	0.446661i	$-0.852613\pi$
$107$	1.06363	−	5.34721i	0.102825	−	0.516935i	0.997528	−	0.0702732i	$-0.0223871\pi$
$108$	10.1721	+	2.12812i	0.978808	+	0.204779i
$109$	1.23989	−	1.85563i	0.118760	−	0.177737i	−0.767327	−	0.641256i	$-0.778413\pi$
$109$	1.23989	−	1.85563i	0.118760	−	0.177737i	0.886087	+	0.463519i	$0.153413\pi$
$110$	10.9518	+	13.3114i	1.04422	+	1.26919i
$111$	−4.91469	−	14.6765i	−0.466481	−	1.39303i
$112$	12.9688	+	12.8416i	1.22544	+	1.21342i
$113$	−8.22640	+	8.22640i	−0.773875	+	0.773875i	−0.978782	−	0.204906i	$-0.934311\pi$
$113$	−8.22640	+	8.22640i	−0.773875	+	0.773875i	0.204906	+	0.978782i	$0.434311\pi$
$114$	7.31127	+	4.57574i	0.684763	+	0.428558i
$115$	1.39833	−	2.09275i	0.130395	−	0.195150i
$116$	2.05676	+	2.04665i	0.190966	+	0.190027i
$117$	−4.49087	−	9.29885i	−0.415181	−	0.859679i
$118$	12.9577	−	15.8287i	1.19285	−	1.45715i
$119$	−10.1726	+	4.21364i	−0.932523	+	0.386264i
$120$	−11.1414	−	4.19867i	−1.01706	−	0.383284i
$121$	13.0754	+	5.41601i	1.18867	+	0.492364i
$122$	3.44787	+	6.43144i	0.312156	+	0.582275i
$123$	0.834760	−	0.106403i	0.0752678	−	0.00959408i
$124$	2.13144	−	1.43179i	0.191409	−	0.128579i
$125$	−9.75720	+	1.94083i	−0.872710	+	0.173593i
$126$	−11.3855	+	15.6558i	−1.01431	+	1.39473i
$127$		−	6.47422i		−	0.574494i	−0.957857	−	0.287247i	$-0.907260\pi$
$127$		−	6.47422i		−	0.574494i	0.957857	−	0.287247i	$-0.0927400\pi$
$128$	−5.41911	−	9.93143i	−0.478986	−	0.877823i
$129$	3.32604	+	1.65728i	0.292842	+	0.145916i
$130$	3.44827	+	11.3172i	0.302433	+	0.992584i
$131$	2.31037	+	11.6150i	0.201858	+	1.01481i	0.940263	+	0.340450i	$0.110579\pi$
$131$	2.31037	+	11.6150i	0.201858	+	1.01481i	−0.738405	+	0.674357i	$0.764421\pi$
$132$	−17.2284	+	2.23920i	−1.49954	+	0.194897i
$133$	−13.3586	+	8.92591i	−1.15833	+	0.773974i
$134$	−18.1642	+	9.73774i	−1.56914	+	0.841213i
$135$	2.61650	−	12.3545i	0.225192	−	1.06330i
$136$	6.79015	−	0.694125i	0.582251	−	0.0595207i
$137$	−4.13721	−	9.98812i	−0.353466	−	0.853342i	−0.996187	−	0.0872422i	$-0.972195\pi$
$137$	−4.13721	−	9.98812i	−0.353466	−	0.853342i	0.642721	−	0.766100i	$-0.277805\pi$
$138$	1.04026	+	2.31364i	0.0885530	+	0.196950i
$139$	−1.29848	+	6.52792i	−0.110136	+	0.553691i	0.885834	+	0.464003i	$0.153587\pi$
$139$	−1.29848	+	6.52792i	−0.110136	+	0.553691i	−0.995970	+	0.0896886i	$0.971413\pi$
$140$	15.6436	−	15.7209i	1.32213	−	1.32866i
$141$	−6.70565	+	3.83478i	−0.564718	+	0.322947i
$142$	6.30774	+	0.613412i	0.529334	+	0.0514764i
$143$	12.2070	+	12.2070i	1.02080	+	1.02080i
$144$	9.54434	−	7.27362i	0.795362	−	0.606135i
$145$	2.49319	−	2.49319i	0.207049	−	0.207049i
$146$	3.56432	−	2.93252i	0.294985	−	0.242697i
$147$	−11.8818	−	20.7770i	−0.979994	−	1.71366i
$148$	−16.5282	−	6.79855i	−1.35861	−	0.558838i
$149$	22.0265	+	4.38134i	1.80448	+	0.358933i	0.978738	−	0.205115i	$-0.0657570\pi$
$149$	22.0265	+	4.38134i	1.80448	+	0.358933i	0.825742	+	0.564049i	$0.190757\pi$
$150$	−0.788261	+	2.07617i	−0.0643612	+	0.169518i
$151$	−12.9225	+	5.35268i	−1.05162	+	0.435595i	−0.840470	−	0.541859i	$-0.817721\pi$
$151$	−12.9225	+	5.35268i	−1.05162	+	0.435595i	−0.211150	+	0.977454i	$0.567721\pi$
$152$	9.51979	−	2.92627i	0.772157	−	0.237352i
$153$	1.81609	+	7.00809i	0.146822	+	0.566570i
$154$	9.35598	−	30.9799i	0.753926	−	2.49643i
$155$	−1.73349	−	2.59436i	−0.139238	−	0.208384i
$156$	−11.5126	−	3.10520i	−0.921745	−	0.248615i
$157$	15.5006	−	3.08326i	1.23708	−	0.246071i	0.467140	−	0.884183i	$-0.345284\pi$
$157$	15.5006	−	3.08326i	1.23708	−	0.246071i	0.769943	+	0.638112i	$0.220284\pi$
$158$	7.64455	−	14.3444i	0.608168	−	1.14118i
$159$	−2.41622	+	4.84917i	−0.191619	+	0.384565i
$160$	−12.0846	+	6.55542i	−0.955375	+	0.518251i
$161$	−4.72528			−0.372404
$162$	9.15600	+	8.84124i	0.719364	+	0.694634i
$163$	1.35389	+	6.80649i	0.106045	+	0.533125i	0.996889	+	0.0788159i	$0.0251139\pi$
$163$	1.35389	+	6.80649i	0.106045	+	0.533125i	−0.890844	+	0.454309i	$0.849886\pi$
$164$	0.537853	−	0.809264i	0.0419993	−	0.0631929i
$165$	2.66942	+	20.9422i	0.207814	+	1.63035i
$166$	−1.05640	+	3.49798i	−0.0819922	+	0.271496i
$167$	−4.67103	+	11.2769i	−0.361455	+	0.872631i	0.633632	+	0.773634i	$0.281563\pi$
$167$	−4.67103	+	11.2769i	−0.361455	+	0.872631i	−0.995088	+	0.0989963i	$0.968437\pi$
$168$	5.06662	+	21.7710i	0.390898	+	1.67967i
$169$	−0.440655	−	1.06384i	−0.0338966	−	0.0818335i
$170$	−0.823148	−	8.25330i	−0.0631326	−	0.632999i
$171$	4.59395	+	9.51229i	0.351308	+	0.727423i
$172$	3.96026	−	1.65184i	0.301967	−	0.125951i
$173$	4.95663	+	3.31192i	0.376846	+	0.251800i	0.729540	−	0.683938i	$-0.239734\pi$
$173$	4.95663	+	3.31192i	0.376846	+	0.251800i	−0.352694	+	0.935739i	$0.614734\pi$
$174$	0.796965	+	3.46315i	0.0604178	+	0.262541i
$175$	−2.92509	−	2.92509i	−0.221116	−	0.221116i
$176$	−11.0629	+	16.7348i	−0.833901	+	1.26144i
$177$	23.7568	−	7.95541i	1.78567	−	0.597965i
$178$	−5.45066	−	0.530063i	−0.408544	−	0.0397299i
$179$	−20.8680	−	13.9435i	−1.55975	−	1.04219i	−0.972535	−	0.232756i	$-0.925226\pi$
$179$	−20.8680	−	13.9435i	−1.55975	−	1.04219i	−0.587211	−	0.809434i	$-0.699774\pi$
$180$	−8.81013	−	11.6198i	−0.656669	−	0.866090i
$181$	−4.12689	−	0.820889i	−0.306749	−	0.0610162i	0.0393156	−	0.999227i	$-0.487482\pi$
$181$	−4.12689	−	0.820889i	−0.306749	−	0.0610162i	−0.346065	+	0.938211i	$0.612482\pi$
$182$	14.0695	−	17.1869i	1.04290	−	1.27397i
$183$	−0.621248	+	8.91577i	−0.0459240	+	0.659073i
$184$	2.80618	+	0.839930i	0.206874	+	0.0619205i
$185$	−8.31092	+	20.0643i	−0.611031	+	1.47516i
$186$	3.14337	−	0.0938251i	0.230483	−	0.00687959i
$187$	−6.72393	−	10.0631i	−0.491703	−	0.735885i
$188$	−1.71859	+	8.75261i	−0.125341	+	0.638350i
$189$	−22.0144	+	8.80167i	−1.60131	+	0.640227i
$190$	−3.52742	−	11.5770i	−0.255906	−	0.839881i
$191$	−25.7448			−1.86283			−0.931415	−	0.363960i	$-0.881425\pi$
$191$	−25.7448			−1.86283			−0.931415	+	0.363960i	$0.881425\pi$
$192$	0.860956	−	13.8296i	0.0621341	−	0.998068i
$193$	−4.10419			−0.295426			−0.147713	−	0.989030i	$-0.547191\pi$
$193$	−4.10419			−0.295426			−0.147713	+	0.989030i	$0.547191\pi$
$194$	2.47859	+	8.13470i	0.177952	+	0.584038i
$195$	−3.80783	+	13.9805i	−0.272684	+	1.00117i
$196$	−27.1193	−	5.32493i	−1.93709	−	0.380352i
$197$	−5.68324	−	8.50557i	−0.404914	−	0.605997i	0.571839	−	0.820366i	$-0.306230\pi$
$197$	−5.68324	−	8.50557i	−0.404914	−	0.605997i	−0.976753	+	0.214370i	$0.931230\pi$
$198$	−19.3193	−	8.91704i	−1.37296	−	0.633707i
$199$	−5.95397	+	14.3741i	−0.422066	+	1.01896i	0.559672	+	0.828714i	$0.310927\pi$
$199$	−5.95397	+	14.3741i	−0.422066	+	1.01896i	−0.981737	+	0.190242i	$0.939073\pi$
$200$	1.21717	+	2.25705i	0.0860667	+	0.159598i
$201$	−25.1806	−	1.75458i	−1.77610	−	0.123758i
$202$	6.53997	−	7.98903i	0.460151	−	0.562106i
$203$	−6.49233	−	1.29141i	−0.455673	−	0.0906389i
$204$	7.49133	+	3.70972i	0.524498	+	0.259732i
$205$	−0.981786	−	0.656009i	−0.0685709	−	0.0458176i
$206$	11.4296	+	1.11150i	0.796340	+	0.0774421i
$207$	−0.430879	+	3.07685i	−0.0299482	+	0.213856i
$208$	−11.4104	+	7.70579i	−0.791168	+	0.534301i
$209$	−12.4872	−	12.4872i	−0.863758	−	0.863758i
$210$	26.4707	−	6.09163i	1.82665	−	0.420362i
$211$	−0.767980	−	0.513148i	−0.0528699	−	0.0353265i	0.528854	−	0.848713i	$-0.322622\pi$
$211$	−0.767980	−	0.513148i	−0.0528699	−	0.0353265i	−0.581724	+	0.813386i	$0.697622\pi$
$212$	2.40828	+	5.77382i	0.165401	+	0.396548i
$213$	6.13836	+	4.75041i	0.420593	+	0.325493i
$214$	−0.765191	−	7.67219i	−0.0523074	−	0.524460i
$215$	−1.99541	−	4.81735i	−0.136086	−	0.328540i
$216$	14.6381	−	1.31390i	0.995996	−	0.0893995i
$217$	−2.24171	+	5.41196i	−0.152177	+	0.367388i
$218$	0.912465	−	3.02139i	0.0618000	−	0.204635i
$219$	5.60760	−	0.714778i	0.378926	−	0.0483002i
$220$	20.3026	+	13.4935i	1.36880	+	0.909733i
$221$	−1.62054	−	8.14700i	−0.109009	−	0.548027i
$222$	−12.6982	−	17.8287i	−0.852244	−	1.19658i
$223$	−5.89378			−0.394677			−0.197338	−	0.980335i	$-0.563230\pi$
$223$	−5.89378			−0.394677			−0.197338	+	0.980335i	$0.563230\pi$
$224$	22.8376	+	12.0266i	1.52590	+	0.803563i
$225$	−2.17139	+	1.63793i	−0.144759	+	0.109196i
$226$	−7.73792	+	14.5196i	−0.514719	+	0.965831i
$227$	−14.7431	+	2.93258i	−0.978533	+	0.194642i	−0.658349	−	0.752713i	$-0.728745\pi$
$227$	−14.7431	+	2.93258i	−0.978533	+	0.194642i	−0.320184	+	0.947355i	$0.603745\pi$
$228$	11.7769	+	3.17647i	0.779941	+	0.210367i
$229$	5.24160	+	7.84461i	0.346375	+	0.518386i	0.963226	−	0.268694i	$-0.0865919\pi$
$229$	5.24160	+	7.84461i	0.346375	+	0.518386i	−0.616851	+	0.787080i	$0.711592\pi$
$230$	1.02906	−	3.40748i	0.0678545	−	0.224683i
$231$	29.9065	−	26.0102i	1.96770	−	1.71135i
$232$	3.62602	+	1.92095i	0.238060	+	0.126117i
$233$	1.97027	−	0.816112i	0.129077	−	0.0534653i	−0.317210	−	0.948355i	$-0.602746\pi$
$233$	1.97027	−	0.816112i	0.129077	−	0.0534653i	0.446287	+	0.894890i	$0.352746\pi$
$234$	−9.90821	−	10.7285i	−0.647720	−	0.701343i
$235$	10.6308	+	2.11460i	0.693477	+	0.137941i
$236$	11.0048	−	26.7543i	0.716353	−	1.74156i
$237$	17.2811	−	9.88261i	1.12253	−	0.641945i
$238$	−12.0248	+	9.89333i	−0.779453	+	0.641289i
$239$	0.0977388	−	0.0977388i	0.00632220	−	0.00632220i	−0.703939	−	0.710261i	$-0.748577\pi$
$239$	0.0977388	−	0.0977388i	0.00632220	−	0.00632220i	0.710261	+	0.703939i	$0.248577\pi$
$240$	−16.8028	−	1.08763i	−1.08462	−	0.0702059i
$241$	−11.4564	−	11.4564i	−0.737972	−	0.737972i	0.234213	−	0.972185i	$-0.424749\pi$
$241$	−11.4564	−	11.4564i	−0.737972	−	0.737972i	−0.972185	+	0.234213i	$0.924749\pi$
$242$	19.9210	+	1.93726i	1.28057	+	0.124532i
$243$	3.72377	+	15.1372i	0.238880	+	0.971049i
$244$	7.31531	+	7.27934i	0.468315	+	0.466012i
$245$	−6.55193	+	32.9388i	−0.418587	+	2.10438i
$246$	1.08541	−	0.488025i	0.0692035	−	0.0311153i
$247$	−4.63831	−	11.1979i	−0.295128	−	0.712503i
$248$	2.29326	−	2.81551i	0.145622	−	0.178785i
$249$	−3.37678	+	2.93685i	−0.213995	+	0.186115i
$250$	−12.3997	+	6.64741i	−0.784223	+	0.420419i
$251$	−1.56703	+	1.04706i	−0.0989100	+	0.0660896i	−0.604042	−	0.796953i	$-0.706444\pi$
$251$	−1.56703	+	1.04706i	−0.0989100	+	0.0660896i	0.505132	+	0.863042i	$0.331444\pi$
$252$	−8.94931	+	25.8724i	−0.563753	+	1.62981i
$253$	−1.01328	−	5.09411i	−0.0637044	−	0.320264i
$254$	−2.66862	−	8.75839i	−0.167444	−	0.549550i
$255$	4.53039	−	9.09215i	0.283704	−	0.569373i
$256$	−11.4247	−	11.2016i	−0.714043	−	0.700102i
$257$		−	12.3984i		−	0.773392i	−0.922207	−	0.386696i	$-0.873616\pi$
$257$		−	12.3984i		−	0.773392i	0.922207	−	0.386696i	$-0.126384\pi$
$258$	5.18263	+	0.871024i	0.322656	+	0.0542276i
$259$	39.9889	−	7.95428i	2.48479	−	0.494255i
$260$	9.32971	+	13.8887i	0.578604	+	0.861339i
$261$	−1.43290	+	4.10970i	−0.0886945	+	0.254384i
$262$	7.91310	+	14.7606i	0.488873	+	0.911912i
$263$	20.0474	+	8.30391i	1.23618	+	0.512041i	0.902518	−	0.430653i	$-0.141717\pi$
$263$	20.0474	+	8.30391i	1.23618	+	0.512041i	0.333659	+	0.942694i	$0.391717\pi$
$264$	−22.3838	+	10.1306i	−1.37763	+	0.623497i
$265$	7.02341	−	2.90919i	0.431445	−	0.178710i
$266$	−14.3924	+	17.5814i	−0.882456	+	1.07798i
$267$	−5.30429	−	4.10494i	−0.324618	−	0.251218i
$268$	−20.5589	+	20.6604i	−1.25583	+	1.26204i
$269$	−6.20282	+	9.28318i	−0.378193	+	0.566005i	−0.970922	−	0.239396i	$-0.923050\pi$
$269$	−6.20282	+	9.28318i	−0.378193	+	0.566005i	0.592729	+	0.805402i	$0.298050\pi$
$270$	−1.55278	−	17.7918i	−0.0944992	−	1.08277i
$271$	10.8048	−	10.8048i	0.656342	−	0.656342i	−0.298170	−	0.954513i	$-0.596376\pi$
$271$	10.8048	−	10.8048i	0.656342	−	0.656342i	0.954513	+	0.298170i	$0.0963764\pi$
$272$	8.89968	−	3.73786i	0.539623	−	0.226641i
$273$	25.7952	−	8.63801i	1.56120	−	0.522796i
$274$	−9.71389	−	11.8067i	−0.586837	−	0.713269i
$275$	2.52615	−	3.78066i	0.152333	−	0.227982i
$276$	2.36094	+	2.70113i	0.142112	+	0.162589i
$277$	−2.84975	+	14.3267i	−0.171225	+	0.860806i	0.795689	+	0.605705i	$0.207109\pi$
$277$	−2.84975	+	14.3267i	−0.171225	+	0.860806i	−0.966914	+	0.255101i	$0.917891\pi$
$278$	0.934151	+	9.36627i	0.0560267	+	0.561752i
$279$	3.31956	+	1.95317i	0.198737	+	0.116933i
$280$	14.6828	−	27.7156i	0.877467	−	1.65632i
$281$	17.7892	+	7.36852i	1.06121	+	0.439569i	0.843882	−	0.536529i	$-0.180265\pi$
$281$	17.7892	+	7.36852i	1.06121	+	0.439569i	0.217332	+	0.976098i	$0.430265\pi$
$282$	−7.49081	+	7.95175i	−0.446072	+	0.473520i
$283$	−18.2010	+	12.1615i	−1.08194	+	0.722928i	−0.962872	−	0.269958i	$-0.912990\pi$
$283$	−18.2010	+	12.1615i	−1.08194	+	0.722928i	−0.119067	+	0.992886i	$0.537990\pi$
$284$	8.78603	−	1.77017i	0.521355	−	0.105040i
$285$	3.89523	−	14.3014i	0.230734	−	0.847142i
$286$	21.5454	+	11.4822i	1.27401	+	0.678954i
$287$			2.21680i			0.130854i
$288$	9.91356	−	13.7739i	0.584162	−	0.811637i
$289$		−	11.1765i		−	0.657441i
$290$	2.34515	−	4.40050i	0.137712	−	0.258406i
$291$	−2.73704	+	10.0491i	−0.160448	+	0.589087i
$292$	3.61309	−	5.43633i	0.211440	−	0.318137i
$293$	8.73226	−	5.83471i	0.510144	−	0.340867i	−0.273710	−	0.961812i	$-0.588251\pi$
$293$	8.73226	−	5.83471i	0.510144	−	0.340867i	0.783854	+	0.620945i	$0.213251\pi$
$294$	−24.6379	−	23.2097i	−1.43691	−	1.35362i
$295$	−32.4782	−	13.4529i	−1.89095	−	0.783258i
$296$	−25.1619	−	2.38435i	−1.46251	−	0.138588i
$297$	−14.2094	−	21.8453i	−0.824514	−	1.26759i
$298$	31.6036	−	3.15201i	1.83075	−	0.182591i
$299$	0.695456	−	3.49629i	0.0402192	−	0.202196i
$300$	−0.210588	+	3.13358i	−0.0121583	+	0.180917i
$301$	−5.43861	+	8.13945i	−0.313476	+	0.469150i
$302$	−15.2754	+	12.5677i	−0.879000	+	0.723191i
$303$	11.9905	−	4.01524i	0.688835	−	0.230669i
$304$	11.6723	−	7.88267i	0.669452	−	0.452102i
$305$	8.86757	−	8.86757i	0.507756	−	0.507756i
$306$	5.34551	+	8.73204i	0.305582	+	0.499178i
$307$	−13.1089	+	19.6188i	−0.748163	+	1.11971i	0.240659	+	0.970610i	$0.422636\pi$
$307$	−13.1089	+	19.6188i	−0.748163	+	1.11971i	−0.988823	+	0.149096i	$0.952364\pi$
$308$	−0.112785	−	45.7664i	−0.00642652	−	2.60778i
$309$	11.1227	+	8.60775i	0.632749	+	0.489678i
$310$	−3.41446	−	2.79514i	−0.193928	−	0.158753i
$311$	15.7530	−	6.52511i	0.893271	−	0.370005i	0.111642	−	0.993749i	$-0.464389\pi$
$311$	15.7530	−	6.52511i	0.893271	−	0.370005i	0.781629	+	0.623744i	$0.214389\pi$
$312$	−16.8543	+	0.544652i	−0.954187	+	0.0308348i
$313$	12.5925	+	5.21598i	0.711769	+	0.294824i	0.709036	−	0.705172i	$-0.249130\pi$
$313$	12.5925	+	5.21598i	0.711769	+	0.294824i	0.00273268	+	0.999996i	$0.499130\pi$
$314$	19.6985	−	10.5603i	1.11165	−	0.595952i
$315$	31.4126	+	10.9524i	1.76990	+	0.617100i
$316$	4.42898	−	22.5563i	0.249149	−	1.26889i
$317$	0.114424	−	0.0227603i	0.00642669	−	0.00127835i	−0.191876	−	0.981419i	$-0.561457\pi$
$317$	0.114424	−	0.0227603i	0.00642669	−	0.00127835i	0.198303	+	0.980141i	$0.436457\pi$
$318$	−1.26990	+	7.55596i	−0.0712125	+	0.423717i
$319$		−	7.27602i		−	0.407379i
$320$	−13.6461	+	13.8494i	−0.762843	+	0.774207i
$321$	4.21141	−	8.45198i	0.235058	−	0.471744i
$322$	−6.39241	+	1.94772i	−0.356235	+	0.108542i
$323$	1.65774	+	8.33400i	0.0922389	+	0.463716i
$324$	16.0306	+	8.18651i	0.890591	+	0.454806i
$325$	2.59482	−	1.73380i	0.143935	−	0.0961740i
$326$	4.63714	+	8.64983i	0.256828	+	0.479070i
$327$	2.91671	−	2.53671i	0.161294	−	0.140281i
$328$	0.394042	−	1.31648i	0.0217573	−	0.0726905i
$329$	−7.78731	−	18.8002i	−0.429328	−	1.03649i
$330$	12.2434	+	27.2306i	0.673979	+	1.49899i
$331$	−4.21708	+	21.2007i	−0.231792	+	1.16530i	0.673067	+	0.739582i	$0.264977\pi$
$331$	−4.21708	+	21.2007i	−0.231792	+	1.16530i	−0.904858	+	0.425713i	$0.860023\pi$
$332$	0.0127347	+	5.16755i	0.000698908	+	0.283606i
$333$	−1.53297	−	26.7639i	−0.0840063	−	1.46665i
$334$	−1.67079	+	17.1808i	−0.0914217	+	0.940094i
$335$	25.0445	+	25.0445i	1.36833	+	1.36833i
$336$	15.8280	+	27.3636i	0.863488	+	1.49281i
$337$	−10.3569	+	10.3569i	−0.564175	+	0.564175i	−0.930491	−	0.366316i	$-0.880619\pi$
$337$	−10.3569	+	10.3569i	−0.564175	+	0.564175i	0.366316	+	0.930491i	$0.380619\pi$
$338$	−1.03463	−	1.25753i	−0.0562763	−	0.0684009i
$339$	−17.4922	+	10.0033i	−0.950045	+	0.543305i
$340$	−4.51550	−	10.8259i	−0.244888	−	0.587114i
$341$	−6.31510	−	1.25615i	−0.341982	−	0.0680244i
$342$	10.1356	+	10.9747i	0.548073	+	0.593446i
$343$	28.7432	−	11.9058i	1.55199	−	0.642854i
$344$	4.67661	−	3.86701i	0.252146	−	0.208495i
$345$	3.28942	−	2.86087i	0.177096	−	0.154024i
$346$	8.07053	+	2.43731i	0.433875	+	0.131031i
$347$	−2.79591	−	4.18438i	−0.150092	−	0.224629i	0.748803	−	0.662793i	$-0.230629\pi$
$347$	−2.79591	−	4.18438i	−0.150092	−	0.224629i	−0.898895	+	0.438164i	$0.855629\pi$
$348$	2.50563	+	4.35649i	0.134316	+	0.233532i
$349$	−2.56083	+	0.509380i	−0.137078	+	0.0272665i	−0.263152	−	0.964754i	$-0.584762\pi$
$349$	−2.56083	+	0.509380i	−0.137078	+	0.0272665i	0.126074	+	0.992021i	$0.459762\pi$
$350$	−5.16279	−	2.75140i	−0.275963	−	0.147068i
$351$	−3.27244	−	17.5841i	−0.174670	−	0.938570i
$352$	−8.06811	+	27.1991i	−0.430032	+	1.44972i
$353$	−22.4679			−1.19584			−0.597922	−	0.801554i	$-0.704007\pi$
$353$	−22.4679			−1.19584			−0.597922	+	0.801554i	$0.704007\pi$
$354$	28.8593	−	20.5545i	1.53385	−	1.09246i
$355$	−2.12475	−	10.6819i	−0.112770	−	0.566934i
$356$	−7.59221	+	1.52964i	−0.402386	+	0.0810709i
$357$	−18.9181	+	2.41142i	−1.00125	+	0.127626i
$358$	−33.9779	−	10.2614i	−1.79579	−	0.542330i
$359$	12.6536	−	30.5485i	0.667833	−	1.61229i	−0.117397	−	0.993085i	$-0.537455\pi$
$359$	12.6536	−	30.5485i	0.667833	−	1.61229i	0.785229	−	0.619205i	$-0.212545\pi$
$360$	−16.7080	−	12.0879i	−0.880591	−	0.637091i
$361$	−2.52622	−	6.09882i	−0.132959	−	0.320991i
$362$	−5.92126	+	0.590561i	−0.311215	+	0.0310392i
$363$	19.3860	+	15.0026i	1.01750	+	0.787435i
$364$	11.9491	−	29.0499i	0.626302	−	1.52263i
$365$	−6.59526	−	4.40681i	−0.345212	−	0.230663i
$366$	2.83458	+	12.3174i	0.148166	+	0.643842i
$367$	9.44890	+	9.44890i	0.493229	+	0.493229i	0.909322	−	0.416093i	$-0.136601\pi$
$367$	9.44890	+	9.44890i	0.493229	+	0.493229i	−0.416093	+	0.909322i	$0.636601\pi$
$368$	4.14244	−	0.0204171i	0.215940	−	0.00106431i
$369$	1.44346	+	0.202141i	0.0751435	+	0.0105231i
$370$	−2.97275	+	30.5690i	−0.154546	+	1.58920i
$371$	−11.8668	−	7.92916i	−0.616095	−	0.411662i
$372$	4.21372	−	1.42260i	0.218471	−	0.0737584i
$373$	11.8008	+	2.34733i	0.611024	+	0.121540i	0.490896	−	0.871218i	$-0.336670\pi$
$373$	11.8008	+	2.34733i	0.611024	+	0.121540i	0.120128	+	0.992758i	$0.461670\pi$
$374$	−13.2441	−	10.8419i	−0.684838	−	0.560621i
$375$	−17.1894	−	1.19775i	−0.887655	−	0.0618516i
$376$	1.28283	+	12.5490i	0.0661567	+	0.647166i
$377$	1.91105	−	4.61369i	0.0984243	−	0.237617i
$378$	−26.1533	+	20.9811i	−1.34518	+	1.07915i
$379$	−12.3972	−	18.5537i	−0.636801	−	0.953040i	−0.999774	−	0.0212405i	$-0.993238\pi$
$379$	−12.3972	−	18.5537i	−0.636801	−	0.953040i	0.362973	−	0.931799i	$-0.381762\pi$
$380$	−9.54386	−	14.2075i	−0.489590	−	0.728828i
$381$	2.94688	−	10.8195i	0.150973	−	0.554301i
$382$	−34.8279	+	10.6118i	−1.78195	+	0.542947i
$383$	3.89254			0.198899			0.0994497	−	0.995043i	$-0.468292\pi$
$383$	3.89254			0.198899			0.0994497	+	0.995043i	$0.468292\pi$
$384$	−4.53575	−	19.0638i	−0.231464	−	0.972843i
$385$	−55.6145			−2.83438
$386$	−5.55219	+	1.69171i	−0.282599	+	0.0861059i
$387$	4.80404	+	4.28353i	0.244203	+	0.217744i
$388$	6.70612	+	9.98307i	0.340451	+	0.506813i
$389$	−10.8076	−	16.1748i	−0.547969	−	0.820094i	0.449343	−	0.893359i	$-0.351658\pi$
$389$	−10.8076	−	16.1748i	−0.547969	−	0.820094i	−0.997312	+	0.0732653i	$0.976658\pi$
$390$	0.611374	+	20.4825i	0.0309581	+	1.03717i
$391$	−0.956386	+	2.30892i	−0.0483665	+	0.116767i
$392$	−38.8822	+	3.97474i	−1.96385	+	0.200755i
$393$	−1.42581	+	20.4623i	−0.0719224	+	1.03219i
$394$	−11.1943	−	9.16384i	−0.563959	−	0.461668i
$395$	−27.3966	−	5.44952i	−1.37847	−	0.274195i
$396$	−29.8109	−	4.09982i	−1.49805	−	0.206024i
$397$	22.1573	+	14.8051i	1.11204	+	0.743044i	0.969096	−	0.246686i	$-0.0793415\pi$
$397$	22.1573	+	14.8051i	1.11204	+	0.743044i	0.142949	+	0.989730i	$0.454342\pi$
$398$	−2.12969	+	21.8997i	−0.106752	+	1.09773i
$399$	−26.3873	+	8.83628i	−1.32102	+	0.442367i
$400$	2.57694	+	2.55166i	0.128847	+	0.127583i
$401$	23.3982	+	23.3982i	1.16845	+	1.16845i	0.982572	+	0.185880i	$0.0595136\pi$
$401$	23.3982	+	23.3982i	1.16845	+	1.16845i	0.185880	+	0.982572i	$0.440486\pi$
$402$	−34.7878	+	8.00562i	−1.73506	+	0.399284i
$403$	−3.67445	−	2.45519i	−0.183037	−	0.122302i
$404$	5.55434	−	13.5034i	0.276338	−	0.671818i
$405$	9.99603	−	19.4555i	0.496707	−	0.966751i
$406$	−9.31521	+	0.929059i	−0.462306	+	0.0461084i
$407$	17.1503	+	41.4045i	0.850109	+	2.05234i
$408$	11.6635	+	1.93069i	0.577428	+	0.0955834i
$409$	1.15111	−	2.77904i	0.0569189	−	0.137414i	−0.892862	−	0.450331i	$-0.851306\pi$
$409$	1.15111	−	2.77904i	0.0569189	−	0.137414i	0.949781	+	0.312916i	$0.101306\pi$
$410$	−1.59857	−	0.482772i	−0.0789479	−	0.0238424i
$411$	−2.36768	−	18.5750i	−0.116789	−	0.916238i
$412$	15.9203	−	3.20755i	0.784336	−	0.158025i
$413$	12.8756	+	64.7300i	0.633567	+	3.18516i
$414$	0.685352	+	4.34000i	0.0336832	+	0.213299i
$415$	6.27951			0.308249
$416$	−12.2598	+	15.1278i	−0.601088	+	0.741699i
$417$	−5.14132	+	10.3183i	−0.251772	+	0.505287i
$418$	−22.0399	−	11.7457i	−1.07801	−	0.574501i
$419$	21.8105	−	4.33837i	1.06551	−	0.211943i	0.368956	−	0.929447i	$-0.379715\pi$
$419$	21.8105	−	4.33837i	1.06551	−	0.211943i	0.696555	+	0.717504i	$0.254715\pi$
$420$	33.2989	−	19.1518i	1.62482	−	0.934513i
$421$	−16.3718	−	24.5021i	−0.797913	−	1.19416i	−0.977607	−	0.210439i	$-0.932511\pi$
$421$	−16.3718	−	24.5021i	−0.797913	−	1.19416i	0.179694	−	0.983723i	$-0.442489\pi$
$422$	−1.25045	−	0.377637i	−0.0608708	−	0.0183831i
$423$	−12.9518	+	3.35636i	−0.629738	+	0.163192i
$424$	5.63787	+	6.81821i	0.273799	+	0.331122i
$425$	−2.02132	+	0.837260i	−0.0980486	+	0.0406131i
$426$	10.2621	+	3.89623i	0.497201	+	0.188773i
$427$	−23.0914	−	4.59316i	−1.11747	−	0.222278i
$428$	−4.19757	−	10.0636i	−0.202897	−	0.486443i
$429$	14.8437	+	25.9563i	0.716662	+	1.25318i
$430$	−4.68509	−	5.69447i	−0.225935	−	0.274612i
$431$	−0.217084	+	0.217084i	−0.0104566	+	0.0104566i	−0.712316	−	0.701859i	$-0.752354\pi$
$431$	−0.217084	+	0.217084i	−0.0104566	+	0.0104566i	0.701859	+	0.712316i	$0.252354\pi$
$432$	19.2610	−	7.81116i	0.926695	−	0.375814i
$433$	12.6377	+	12.6377i	0.607329	+	0.607329i	0.942247	−	0.334918i	$-0.108709\pi$
$433$	12.6377	+	12.6377i	0.607329	+	0.607329i	−0.334918	+	0.942247i	$0.608709\pi$
$434$	−0.801841	+	8.24537i	−0.0384896	+	0.395791i
$435$	5.30139	−	3.03172i	0.254182	−	0.145360i
$436$	−0.0109996	−	4.46348i	−0.000526787	−	0.213762i
$437$	−0.711419	+	3.57654i	−0.0340318	+	0.171089i
$438$	7.29140	−	3.27837i	0.348396	−	0.156646i
$439$	7.54155	+	18.2069i	0.359938	+	0.868968i	0.995308	+	0.0967598i	$0.0308479\pi$
$439$	7.54155	+	18.2069i	0.359938	+	0.868968i	−0.635369	+	0.772208i	$0.719152\pi$
$440$	33.0275	+	9.88561i	1.57452	+	0.471278i
$441$	−10.3994	−	40.1302i	−0.495211	−	1.91096i
$442$	−5.55041	−	10.3534i	−0.264006	−	0.492460i
$443$	−12.5196	+	8.36533i	−0.594824	+	0.397449i	−0.816225	−	0.577734i	$-0.803937\pi$
$443$	−12.5196	+	8.36533i	−0.594824	+	0.397449i	0.221401	+	0.975183i	$0.428937\pi$
$444$	−24.5270	−	18.8848i	−1.16400	−	0.896231i
$445$	1.83605	+	9.23043i	0.0870370	+	0.437564i
$446$	−7.97317	+	2.42937i	−0.377541	+	0.115034i
$447$	34.8158	+	17.3478i	1.64673	+	0.820524i
$448$	35.8522	+	6.85630i	1.69386	+	0.323930i
$449$		−	35.8732i		−	1.69296i	−0.532420	−	0.846480i	$-0.678717\pi$
$449$		−	35.8732i		−	1.69296i	0.532420	−	0.846480i	$-0.321283\pi$
$450$	−2.26233	+	3.11084i	−0.106647	+	0.146646i
$451$	−2.38983	+	0.475367i	−0.112533	+	0.0223842i
$452$	−4.48307	+	22.8318i	−0.210866	+	1.07392i
$453$	−24.0321	+	3.06328i	−1.12913	+	0.143925i
$454$	−18.7358	+	10.0442i	−0.879316	+	0.471398i
$455$	−35.2649	−	14.6072i	−1.65324	−	0.684796i
$456$	17.2412	−	0.557153i	0.807392	−	0.0260911i
$457$	27.1400	−	11.2417i	1.26955	−	0.525866i	0.356725	−	0.934209i	$-0.383893\pi$
$457$	27.1400	−	11.2417i	1.26955	−	0.525866i	0.912829	+	0.408343i	$0.133893\pi$
$458$	10.3244	+	8.45173i	0.482426	+	0.394923i
$459$	−0.154885	+	12.5384i	−0.00722941	+	0.585241i
$460$	−0.0124052	−	5.03385i	−0.000578397	−	0.234704i
$461$	−4.40053	+	6.58586i	−0.204953	+	0.306734i	−0.919679	−	0.392670i	$-0.871551\pi$
$461$	−4.40053	+	6.58586i	−0.204953	+	0.306734i	0.714726	+	0.699405i	$0.246551\pi$
$462$	29.7366	−	47.5142i	1.38347	−	2.21056i
$463$	−1.05229	+	1.05229i	−0.0489040	+	0.0489040i	−0.731136	−	0.682232i	$-0.761009\pi$
$463$	−1.05229	+	1.05229i	−0.0489040	+	0.0489040i	0.682232	+	0.731136i	$0.261009\pi$
$464$	5.69712	+	1.10407i	0.264482	+	0.0512550i
$465$	−1.71609	−	5.12466i	−0.0795817	−	0.237650i
$466$	2.32901	−	1.91617i	0.107889	−	0.0887651i
$467$	18.0199	−	26.9687i	0.833861	−	1.24796i	−0.132606	−	0.991169i	$-0.542334\pi$
$467$	18.0199	−	26.9687i	0.833861	−	1.24796i	0.966467	−	0.256792i	$-0.0826655\pi$
$468$	−17.8261	−	10.4295i	−0.824013	−	0.482106i
$469$	12.9723	−	65.2164i	0.599007	−	3.01141i
$470$	15.2531	−	1.52128i	0.703572	−	0.0701713i
$471$	27.3076	+	1.90279i	1.25827	+	0.0876758i
$472$	3.85955	−	40.7296i	0.177650	−	1.87473i
$473$	−9.94102	−	4.11770i	−0.457088	−	0.189332i
$474$	19.3046	−	20.4924i	0.886688	−	0.941249i
$475$	−2.65438	+	1.77360i	−0.121791	+	0.0813783i
$476$	−12.1893	+	18.3403i	−0.558698	+	0.840628i
$477$	−6.24513	+	7.00401i	−0.285945	+	0.320692i
$478$	0.0919350	−	0.172509i	0.00420501	−	0.00789039i
$479$		−	11.1857i		−	0.511086i	−0.966798	−	0.255543i	$-0.917746\pi$
$479$		−	11.1857i		−	0.511086i	0.966798	−	0.255543i	$-0.0822543\pi$
$480$	−23.1794	+	5.45464i	−1.05799	+	0.248969i
$481$			30.7590i			1.40249i
$482$	−20.2206	−	10.7761i	−0.921023	−	0.490839i
$483$	−7.89675	−	2.15082i	−0.359315	−	0.0978655i
$484$	27.7479	−	5.59051i	1.26127	−	0.254114i
$485$	12.1512	−	8.11920i	0.551760	−	0.368674i
$486$	11.2770	+	18.9428i	0.511534	+	0.859263i
$487$	1.59539	+	0.660834i	0.0722942	+	0.0299453i	0.418538	−	0.908199i	$-0.362543\pi$
$487$	1.59539	+	0.660834i	0.0722942	+	0.0299453i	−0.346243	+	0.938145i	$0.612543\pi$
$488$	12.8967	+	6.83227i	0.583807	+	0.309282i
$489$	−0.835534	+	11.9911i	−0.0377842	+	0.542255i
$490$	4.71356	+	47.2606i	0.212937	+	2.13501i
$491$	4.08017	−	20.5124i	0.184135	−	0.925711i	−0.772631	−	0.634855i	$-0.781060\pi$
$491$	4.08017	−	20.5124i	0.184135	−	0.925711i	0.956767	−	0.290856i	$-0.0939401\pi$
$492$	1.26720	−	1.10760i	0.0571298	−	0.0499347i
$493$	−1.94506	+	2.91098i	−0.0876010	+	0.131104i
$494$	−10.8904	−	13.2367i	−0.489983	−	0.595548i
$495$	−5.07126	+	36.2131i	−0.227936	+	1.62766i
$496$	1.94182	−	4.75411i	0.0871904	−	0.213466i
$497$	−14.4582	+	14.4582i	−0.648538	+	0.648538i
$498$	−3.35761	+	5.36489i	−0.150458	+	0.240406i
$499$	4.03715	−	6.04202i	0.180727	−	0.270478i	−0.730034	−	0.683411i	$-0.760496\pi$
$499$	4.03715	−	6.04202i	0.180727	−	0.270478i	0.910761	+	0.412933i	$0.135496\pi$
$500$	−14.0344	+	14.1037i	−0.627637	+	0.630738i
$501$	−12.9390	+	16.7195i	−0.578073	+	0.746971i
$502$	−1.68831	+	2.06239i	−0.0753528	+	0.0920488i
$503$	0.875009	−	0.362440i	0.0390147	−	0.0161604i	−0.363091	−	0.931754i	$-0.618279\pi$
$503$	0.875009	−	0.362440i	0.0390147	−	0.0161604i	0.402105	+	0.915593i	$0.368279\pi$
$504$	−1.44235	+	38.6892i	−0.0642475	+	1.72336i
$505$	−16.3923	−	6.78992i	−0.729449	−	0.302148i
$506$	−3.47053	−	6.47370i	−0.154284	−	0.287791i
$507$	−0.252182	−	1.97843i	−0.0111998	−	0.0878651i
$508$	−7.22027	−	10.7485i	−0.320348	−	0.476886i
$509$	34.6684	−	6.89597i	1.53665	−	0.305659i	0.647067	−	0.762433i	$-0.275995\pi$
$509$	34.6684	−	6.89597i	1.53665	−	0.305659i	0.889582	+	0.456775i	$0.150995\pi$
$510$	2.38105	−	14.1674i	0.105435	−	0.627341i
$511$			14.8916i			0.658766i
$512$	−20.0727	−	10.4445i	−0.887095	−	0.461588i
$513$	3.34756	+	17.9877i	0.147798	+	0.794177i
$514$	−5.11053	−	16.7727i	−0.225416	−	0.739813i
$515$	−3.85005	−	19.3555i	−0.169654	−	0.852906i
$516$	7.37015	−	0.957906i	0.324453	−	0.0421695i
$517$	18.5978	−	12.4266i	0.817929	−	0.546523i
$518$	50.8187	−	27.2437i	2.23285	−	1.19702i
$519$	6.77590	+	7.79091i	0.297429	+	0.341983i
$520$	18.3461	+	14.9431i	0.804531	+	0.655300i
$521$	−12.1773	−	29.3986i	−0.533497	−	1.28798i	−0.929193	−	0.369594i	$-0.879497\pi$
$521$	−12.1773	−	29.3986i	−0.533497	−	1.28798i	0.395696	−	0.918381i	$-0.370503\pi$
$522$	−0.244464	+	6.15028i	−0.0106999	+	0.269190i
$523$	7.29918	−	36.6954i	0.319171	−	1.60458i	−0.404570	−	0.914507i	$-0.632579\pi$
$523$	7.29918	−	36.6954i	0.319171	−	1.60458i	0.723740	−	0.690072i	$-0.242421\pi$
$524$	16.7891	+	16.7066i	0.733436	+	0.729830i
$525$	−3.55691	−	6.21975i	−0.155236	−	0.271452i
$526$	30.5432	+	2.97024i	1.33175	+	0.129509i
$527$	2.19074	+	2.19074i	0.0954301	+	0.0954301i
$528$	−26.1053	+	22.9313i	−1.13609	+	0.997955i
$529$	15.5051	−	15.5051i	0.674134	−	0.674134i
$530$	8.30220	−	6.83058i	0.360625	−	0.296701i
$531$	43.3228	−	2.48142i	1.88005	−	0.107685i
$532$	−12.2233	+	29.7167i	−0.529949	+	1.28838i
$533$	−1.64024	−	0.326263i	−0.0710466	−	0.0141320i
$534$	−8.86773	−	3.36682i	−0.383744	−	0.145696i
$535$	−12.2416	+	5.07064i	−0.529251	+	0.219223i
$536$	−19.2962	+	36.4239i	−0.833469	+	1.57327i
$537$	−28.5273	−	32.8006i	−1.23104	−	1.41545i
$538$	−4.56480	+	15.1151i	−0.196802	+	0.651660i
$539$	38.5030	+	57.6238i	1.65844	+	2.48203i
$540$	−9.43424	−	23.4288i	−0.405985	−	1.00822i
$541$	−29.7689	+	5.92141i	−1.27987	+	0.254581i	−0.787775	−	0.615963i	$-0.788767\pi$
$541$	−29.7689	+	5.92141i	−1.27987	+	0.254581i	−0.492091	+	0.870544i	$0.663767\pi$
$542$	10.1632	−	19.0704i	0.436545	−	0.819145i
$543$	−6.52310	−	3.25029i	−0.279933	−	0.139483i
$544$	10.4989	−	8.72500i	0.450135	−	0.374081i
$545$	−5.42394			−0.232336
$546$	31.3355	−	22.3182i	1.34104	−	0.955129i
$547$	8.01766	+	40.3075i	0.342811	+	1.72342i	0.639798	+	0.768543i	$0.279018\pi$
$547$	8.01766	+	40.3075i	0.342811	+	1.72342i	−0.296987	+	0.954881i	$0.595982\pi$
$548$	−18.0077	−	11.9683i	−0.769250	−	0.511259i
$549$	−5.09643	+	14.6170i	−0.217510	+	0.623839i
$550$	1.85905	−	6.15577i	0.0792703	−	0.262483i
$551$	−1.95492	+	4.71959i	−0.0832824	+	0.201061i
$552$	4.30730	+	2.68096i	0.183331	+	0.114109i
$553$	20.0687	+	48.4500i	0.853406	+	2.06030i
$554$	2.05016	+	20.5559i	0.0871029	+	0.873337i
$555$	−23.0217	+	29.7481i	−0.977218	+	1.26274i
$556$	5.12443	+	12.2857i	0.217324	+	0.521032i
$557$	−27.4263	−	18.3257i	−1.16209	−	0.776484i	−0.183646	−	0.982992i	$-0.558790\pi$
$557$	−27.4263	−	18.3257i	−1.16209	−	0.776484i	−0.978445	+	0.206508i	$0.933790\pi$
$558$	5.29583	+	1.27398i	0.224190	+	0.0539318i
$559$	−5.22204	−	5.22204i	−0.220869	−	0.220869i
$560$	8.43896	−	43.5461i	0.356611	−	1.84016i
$561$	−6.65642	−	19.8777i	−0.281034	−	0.839237i
$562$	27.1027	+	2.63566i	1.14326	+	0.111179i
$563$	−11.9798	−	8.00464i	−0.504888	−	0.337356i	0.276901	−	0.960899i	$-0.410693\pi$
$563$	−11.9798	−	8.00464i	−0.504888	−	0.337356i	−0.781789	+	0.623543i	$0.785693\pi$
$564$	−6.85601	+	13.8449i	−0.288690	+	0.582974i
$565$	27.7312	+	5.51608i	1.16666	+	0.232063i
$566$	−19.6097	+	23.9546i	−0.824256	+	1.00689i
$567$	−40.7961	+	4.68878i	−1.71327	+	0.196910i
$568$	11.1562	−	6.01623i	0.468103	−	0.252436i
$569$	−15.2958	+	36.9273i	−0.641233	+	1.54807i	0.183785	+	0.982966i	$0.441165\pi$
$569$	−15.2958	+	36.9273i	−0.641233	+	1.54807i	−0.825018	+	0.565107i	$0.808835\pi$
$570$	−0.625407	−	20.9527i	−0.0261954	−	0.877612i
$571$	−8.40507	−	12.5791i	−0.351741	−	0.526418i	0.612839	−	0.790208i	$-0.290027\pi$
$571$	−8.40507	−	12.5791i	−0.351741	−	0.526418i	−0.964580	+	0.263790i	$0.915027\pi$
$572$	33.8797	+	6.65234i	1.41658	+	0.278148i
$573$	−43.0240	−	11.7183i	−1.79735	−	0.489540i
$574$	0.913746	+	2.99891i	0.0381390	+	0.125172i
$575$	−0.938924			−0.0391558
$576$	7.73367	−	22.7198i	0.322236	−	0.946659i
$577$	44.0088			1.83211			0.916055	−	0.401053i	$-0.131356\pi$
$577$	44.0088			1.83211			0.916055	+	0.401053i	$0.131356\pi$
$578$	−4.60686	−	15.1197i	−0.191620	−	0.628896i
$579$	−6.85880	−	1.86811i	−0.285042	−	0.0776361i
$580$	1.35869	−	6.91969i	0.0564167	−	0.287324i
$581$	−6.54968	−	9.80229i	−0.271727	−	0.406668i
$582$	0.439451	+	14.7227i	0.0182158	+	0.610275i
$583$	6.00337	−	14.4934i	0.248634	−	0.600256i
$584$	2.64702	−	8.84361i	0.109535	−	0.365951i
$585$	−12.7271	+	21.6306i	−0.526200	+	0.894316i
$586$	9.40807	−	11.4926i	0.388644	−	0.474756i
$587$	19.1815	+	3.81543i	0.791704	+	0.157480i	0.574347	−	0.818612i	$-0.305256\pi$
$587$	19.1815	+	3.81543i	0.791704	+	0.157480i	0.217358	+	0.976092i	$0.430256\pi$
$588$	−42.8973	−	21.2428i	−1.76906	−	0.876040i
$589$	3.75879	+	2.51154i	0.154878	+	0.103486i
$590$	−49.4820	−	4.81200i	−2.03714	−	0.198107i
$591$	−5.62617	−	16.8011i	−0.231430	−	0.691106i
$592$	−35.0221	+	7.14595i	−1.43940	+	0.293697i
$593$	12.2686	+	12.2686i	0.503811	+	0.503811i	0.912620	−	0.408809i	$-0.134056\pi$
$593$	12.2686	+	12.2686i	0.503811	+	0.503811i	−0.408809	+	0.912620i	$0.634056\pi$
$594$	−28.2271	−	23.6955i	−1.15817	−	0.972239i
$595$	22.2502	+	14.8671i	0.912169	+	0.609492i
$596$	41.4545	−	17.2908i	1.69804	−	0.708260i
$597$	−16.4928	+	21.3116i	−0.675006	+	0.872226i
$598$	−0.500322	−	5.01648i	−0.0204597	−	0.205139i
$599$	−3.20238	−	7.73122i	−0.130846	−	0.315889i	0.844856	−	0.534994i	$-0.179686\pi$
$599$	−3.20238	−	7.73122i	−0.130846	−	0.315889i	−0.975701	+	0.219105i	$0.929686\pi$
$600$	1.00675	+	4.32594i	0.0411004	+	0.176606i
$601$	15.3797	−	37.1299i	0.627351	−	1.51456i	−0.215551	−	0.976493i	$-0.569155\pi$
$601$	15.3797	−	37.1299i	0.627351	−	1.51456i	0.842902	−	0.538067i	$-0.180845\pi$
$602$	−4.00239	+	13.2529i	−0.163125	+	0.540147i
$603$	−41.2825	−	14.3937i	−1.68115	−	0.586157i
$604$	−15.4844	+	23.2981i	−0.630052	+	0.947988i
$605$	−6.71035	−	33.7352i	−0.272815	−	1.37153i
$606$	14.5658	−	10.3742i	0.591696	−	0.421425i
$607$	6.63792			0.269425			0.134712	−	0.990885i	$-0.456989\pi$
$607$	6.63792			0.269425			0.134712	+	0.990885i	$0.456989\pi$
$608$	12.5412	−	15.4750i	0.508614	−	0.627593i
$609$	−10.2620	−	5.11329i	−0.415837	−	0.207201i
$610$	8.34101	−	15.6513i	0.337718	−	0.633702i
$611$	15.0566	−	2.99495i	0.609126	−	0.121163i
$612$	10.8307	+	9.60943i	0.437807	+	0.388438i
$613$	7.44936	+	11.1488i	0.300877	+	0.450294i	0.950845	−	0.309667i	$-0.100218\pi$
$613$	7.44936	+	11.1488i	0.300877	+	0.450294i	−0.649968	+	0.759962i	$0.725218\pi$
$614$	−9.64712	+	31.9439i	−0.389326	+	1.28915i
$615$	−1.34214	−	1.54319i	−0.0541202	−	0.0622273i
$616$	−19.0171	−	61.8668i	−0.766221	−	2.49268i
$617$	5.73834	−	2.37690i	0.231017	−	0.0956903i	−0.264172	−	0.964476i	$-0.585099\pi$
$617$	5.73834	−	2.37690i	0.231017	−	0.0956903i	0.495189	+	0.868785i	$0.335099\pi$
$618$	18.5950	+	7.05997i	0.747999	+	0.283994i
$619$	−28.4168	−	5.65245i	−1.14217	−	0.227191i	−0.412477	−	0.910968i	$-0.635336\pi$
$619$	−28.4168	−	5.65245i	−1.14217	−	0.227191i	−0.729691	+	0.683777i	$0.760336\pi$
$620$	−5.77126	−	2.37389i	−0.231779	−	0.0953376i
$621$	−2.12057	+	4.94582i	−0.0850955	+	0.198469i
$622$	18.6212	−	15.3205i	0.746644	−	0.614296i
$623$	12.4936	−	12.4936i	0.500547	−	0.500547i
$624$	−22.5762	+	7.68402i	−0.903771	+	0.307607i
$625$	20.3019	+	20.3019i	0.812074	+	0.812074i
$626$	19.1852	+	1.86571i	0.766796	+	0.0745689i
$627$	−15.1844	−	26.5521i	−0.606408	−	1.06039i
$628$	22.2955	−	22.4056i	0.889687	−	0.894083i
$629$	4.20695	−	21.1498i	0.167742	−	0.843297i
$630$	47.0098	+	1.86857i	1.87292	+	0.0744456i
$631$	4.28556	+	10.3462i	0.170605	+	0.411878i	0.985937	−	0.167116i	$-0.0534455\pi$
$631$	4.28556	+	10.3462i	0.170605	+	0.411878i	−0.815332	+	0.578994i	$0.803446\pi$
$632$	−3.30597	−	32.3400i	−0.131504	−	1.28642i
$633$	−1.04986	−	1.20712i	−0.0417280	−	0.0479788i
$634$	0.145412	−	0.0779551i	0.00577506	−	0.00309599i
$635$	−13.0829	+	8.74170i	−0.519178	+	0.346904i
$636$	1.39657	+	10.7452i	0.0553776	+	0.426076i
$637$	9.27964	+	46.6519i	0.367673	+	1.84842i
$638$	−2.99912	−	9.84308i	−0.118736	−	0.389691i
$639$	8.09600	+	10.7328i	0.320273	+	0.424582i
$640$	−12.7520	+	24.3605i	−0.504069	+	0.962933i
$641$			32.9687i			1.30219i	0.758998	+	0.651093i	$0.225689\pi$
$641$			32.9687i			1.30219i	−0.758998	+	0.651093i	$0.774311\pi$
$642$	2.21340	−	13.1698i	0.0873560	−	0.519772i
$643$	3.22911	−	0.642310i	0.127344	−	0.0253302i	−0.131007	−	0.991381i	$-0.541821\pi$
$643$	3.22911	−	0.642310i	0.127344	−	0.0253302i	0.258351	+	0.966051i	$0.416821\pi$
$644$	−7.84489	+	5.26980i	−0.309132	+	0.207659i
$645$	−1.14195	−	8.95888i	−0.0449643	−	0.352755i
$646$	5.67781	+	10.5910i	0.223391	+	0.416698i
$647$	−12.4698	−	5.16516i	−0.490238	−	0.203063i	0.123850	−	0.992301i	$-0.460476\pi$
$647$	−12.4698	−	5.16516i	−0.490238	−	0.203063i	−0.614088	+	0.789238i	$0.710476\pi$
$648$	25.0608	+	4.46710i	0.984482	+	0.175484i
$649$	−67.0215	+	27.7612i	−2.63082	+	1.08972i
$650$	2.79564	−	3.41507i	0.109654	−	0.133950i
$651$	−6.20965	+	8.02396i	−0.243376	+	0.314484i
$652$	9.83856	+	9.79019i	0.385308	+	0.383414i
$653$	−2.52285	+	3.77572i	−0.0987269	+	0.147755i	−0.877544	−	0.479495i	$-0.840820\pi$
$653$	−2.52285	+	3.77572i	−0.0987269	+	0.147755i	0.778818	+	0.627250i	$0.215820\pi$
$654$	2.90014	−	4.63394i	0.113405	−	0.181201i
$655$	20.3517	−	20.3517i	0.795205	−	0.795205i
$656$	−0.00957839	−	1.94337i	−0.000373973	−	0.0758759i
$657$	9.69661	+	1.35791i	0.378301	+	0.0529770i
$658$	−18.2841	−	22.2233i	−0.712787	−	0.866354i
$659$	−13.2928	+	19.8941i	−0.517814	+	0.774963i	−0.994570	−	0.104073i	$-0.966812\pi$
$659$	−13.2928	+	19.8941i	−0.517814	+	0.774963i	0.476756	+	0.879036i	$0.341812\pi$
$660$	27.7873	+	31.7912i	1.08162	+	1.23747i
$661$	−5.43822	+	27.3398i	−0.211522	+	1.06339i	0.718398	+	0.695632i	$0.244876\pi$
$661$	−5.43822	+	27.3398i	−0.211522	+	1.06339i	−0.929920	+	0.367761i	$0.880124\pi$
$662$	3.03384	+	30.4188i	0.117913	+	1.18226i
$663$	1.00009	−	14.3527i	0.0388403	−	0.557412i
$664$	2.14725	+	6.98547i	0.0833294	+	0.271089i
$665$	36.0743	+	14.9425i	1.39890	+	0.579445i
$666$	−13.1057	−	35.5747i	−0.507835	−	1.37849i
$667$	−1.24925	+	0.834723i	−0.0483712	+	0.0323206i
$668$	4.82153	+	23.9311i	0.186551	+	0.925923i
$669$	−9.84952	−	2.68269i	−0.380805	−	0.103719i
$670$	44.2036	+	23.5573i	1.70773	+	0.910098i
$671$		−	25.8787i		−	0.999036i
$672$	32.6913	+	30.4936i	1.26110	+	1.17632i
$673$			12.4571i			0.480186i	0.970750	+	0.240093i	$0.0771779\pi$
$673$			12.4571i			0.480186i	−0.970750	+	0.240093i	$0.922822\pi$
$674$	−9.74187	+	18.2799i	−0.375243	+	0.704115i
$675$	−4.37431	+	1.74891i	−0.168367	+	0.0673157i
$676$	−1.91800	−	1.27474i	−0.0737693	−	0.0490285i
$677$	10.2398	−	6.84204i	0.393549	−	0.262961i	−0.343014	−	0.939330i	$-0.611448\pi$
$677$	10.2398	−	6.84204i	0.393549	−	0.262961i	0.736563	+	0.676369i	$0.236448\pi$
$678$	−19.5403	+	20.7427i	−0.750442	+	0.796619i
$679$	−25.3481	−	10.4995i	−0.972771	−	0.402935i
$680$	−10.5710	−	12.7841i	−0.405378	−	0.490247i
$681$	−25.9731	−	1.80980i	−0.995291	−	0.0693516i
$682$	−9.06091	+	0.903696i	−0.346960	+	0.0346043i
$683$	−4.53151	+	22.7815i	−0.173393	+	0.871708i	0.791922	+	0.610622i	$0.209081\pi$
$683$	−4.53151	+	22.7815i	−0.173393	+	0.871708i	−0.965316	+	0.261086i	$0.915919\pi$
$684$	18.2353	+	10.6689i	0.697244	+	0.407937i
$685$	−14.5974	+	21.8466i	−0.557740	+	0.834717i
$686$	33.9766	−	27.9540i	1.29723	−	1.06729i
$687$	5.18897	+	15.4955i	0.197971	+	0.591191i
$688$	4.73262	−	7.15899i	0.180429	−	0.272934i
$689$	7.61342	−	7.61342i	0.290048	−	0.290048i
$690$	3.27074	−	5.22609i	0.124515	−	0.198954i
$691$	14.2371	−	21.3073i	0.541605	−	0.810569i	−0.455205	−	0.890387i	$-0.650434\pi$
$691$	14.2371	−	21.3073i	0.541605	−	0.810569i	0.996809	+	0.0798181i	$0.0254339\pi$
$692$	11.9226	−	0.0293815i	0.453227	−	0.00111692i
$693$	61.8181	−	29.8550i	2.34827	−	1.13410i
$694$	−5.50711	−	4.50822i	−0.209047	−	0.171130i
$695$	14.9447	−	6.19028i	0.566883	−	0.234811i
$696$	5.18535	+	4.86071i	0.196550	+	0.184245i
$697$	1.08320	+	0.448676i	0.0410291	+	0.0169948i
$698$	−3.25435	+	1.74465i	−0.123179	+	0.0660358i
$699$	3.66413	−	0.467052i	0.138590	−	0.0176655i
$700$	−8.11838	−	1.59406i	−0.306846	−	0.0602498i
$701$	25.4279	−	5.05792i	0.960399	−	0.191035i	0.310092	−	0.950707i	$-0.399640\pi$
$701$	25.4279	−	5.05792i	0.960399	−	0.191035i	0.650307	+	0.759672i	$0.274640\pi$
$702$	−11.6750	−	22.4391i	−0.440645	−	0.846910i
$703$		−	31.4650i		−	1.18672i
$704$	0.296622	+	40.1209i	0.0111794	+	1.51211i
$705$	16.8034	+	8.37271i	0.632852	+	0.315334i
$706$	−30.3948	+	9.26108i	−1.14392	+	0.348545i
$707$	6.49855	+	32.6704i	0.244403	+	1.22870i
$708$	30.5688	−	39.7020i	1.14885	−	1.49209i
$709$	11.0041	−	7.35267i	0.413266	−	0.276136i	−0.331508	−	0.943452i	$-0.607557\pi$
$709$	11.0041	−	7.35267i	0.413266	−	0.276136i	0.744774	+	0.667317i	$0.232557\pi$
$710$	−7.27736	−	13.5747i	−0.273115	−	0.509450i
$711$	33.3780	−	8.64966i	1.25177	−	0.324388i
$712$	−9.64031	+	5.19876i	−0.361286	+	0.194832i
$713$	0.508809	+	1.22837i	0.0190551	+	0.0460030i
$714$	−24.5987	+	11.0601i	−0.920583	+	0.413914i
$715$	8.18521	−	41.1498i	0.306109	−	1.53892i
$716$	−50.1953	+	0.123699i	−1.87589	+	0.00462286i
$717$	0.207826	−	0.118850i	0.00776142	−	0.00443855i
$718$	4.52610	−	46.5421i	0.168913	−	1.73694i
$719$	−28.6352	−	28.6352i	−1.06791	−	1.06791i	−0.997519	−	0.0703926i	$-0.977575\pi$
$719$	−28.6352	−	28.6352i	−1.06791	−	1.06791i	−0.0703926	−	0.997519i	$-0.522425\pi$
$720$	−27.5854	−	9.46580i	−1.02805	−	0.352769i
$721$	−26.1982	+	26.1982i	−0.975673	+	0.975673i
$722$	−5.93138	−	7.20927i	−0.220743	−	0.268301i
$723$	−13.9310	−	24.3603i	−0.518099	−	0.905969i
$724$	−7.76693	+	3.23961i	−0.288656	+	0.120399i
$725$	−1.29004	−	0.256605i	−0.0479110	−	0.00953008i
$726$	32.4096	+	12.3050i	1.20283	+	0.456681i
$727$	−35.2595	+	14.6050i	−1.30770	+	0.541668i	−0.924213	−	0.381878i	$-0.875278\pi$
$727$	−35.2595	+	14.6050i	−1.30770	+	0.541668i	−0.383489	+	0.923545i	$0.625278\pi$
$728$	4.19071	−	44.2243i	0.155318	−	1.63906i
$729$	−0.666954	+	26.9918i	−0.0247020	+	0.999695i
$730$	−10.7386	−	3.24307i	−0.397453	−	0.120032i
$731$	2.87643	+	4.30488i	0.106389	+	0.159222i
$732$	8.91179	+	15.4948i	0.329389	+	0.572703i
$733$	−13.1972	+	2.62508i	−0.487448	+	0.0969595i	−0.432695	−	0.901540i	$-0.642437\pi$
$733$	−13.1972	+	2.62508i	−0.487448	+	0.0969595i	−0.0547534	+	0.998500i	$0.517437\pi$
$734$	16.6773	+	8.88782i	0.615572	+	0.328055i
$735$	−25.9422	+	52.0641i	−0.956893	+	1.92041i
$736$	5.59553	−	1.73510i	0.206254	−	0.0639567i
$737$	73.0886			2.69225
$738$	2.03605	−	0.321523i	0.0749480	−	0.0118354i
$739$	−0.290443	−	1.46015i	−0.0106841	−	0.0537126i	0.975075	−	0.221873i	$-0.0712172\pi$
$739$	−0.290443	−	1.46015i	−0.0106841	−	0.0537126i	−0.985760	+	0.168161i	$0.946217\pi$
$740$	8.57870	+	42.5794i	0.315359	+	1.56525i
$741$	−2.65445	−	20.8248i	−0.0975137	−	0.765018i
$742$	−19.3219	−	5.83525i	−0.709330	−	0.214219i
$743$	−20.2028	+	48.7739i	−0.741170	+	1.78934i	−0.140113	+	0.990135i	$0.544747\pi$
$743$	−20.2028	+	48.7739i	−0.741170	+	1.78934i	−0.601056	+	0.799207i	$0.705253\pi$
$744$	5.11398	−	3.66137i	0.187488	−	0.134232i
$745$	−20.8872	−	50.4262i	−0.765248	−	1.84747i
$746$	16.9318	−	1.68871i	0.619919	−	0.0618280i
$747$	−6.97996	+	3.37097i	−0.255384	+	0.123337i
$748$	−22.3857	−	9.20791i	−0.818504	−	0.336675i
$749$	20.6836	+	13.8203i	0.755761	+	0.504983i
$750$	−23.7477	+	5.46499i	−0.867143	+	0.199553i
$751$	−17.0382	−	17.0382i	−0.621734	−	0.621734i	0.324240	−	0.945975i	$-0.394891\pi$
$751$	−17.0382	−	17.0382i	−0.621734	−	0.621734i	−0.945975	+	0.324240i	$0.894891\pi$
$752$	6.90802	+	16.4477i	0.251910	+	0.599785i
$753$	−3.09537	+	1.03654i	−0.112801	+	0.0377737i
$754$	0.683569	−	7.02918i	0.0248941	−	0.255987i
$755$	28.2649	+	18.8860i	1.02867	+	0.687333i
$756$	−26.7322	+	39.1637i	−0.972242	+	1.42437i
$757$	−38.5608	−	7.67022i	−1.40152	−	0.278779i	−0.564264	−	0.825595i	$-0.690840\pi$
$757$	−38.5608	−	7.67022i	−1.40152	−	0.278779i	−0.837253	+	0.546816i	$0.815840\pi$
$758$	−24.4187	−	19.9896i	−0.886929	−	0.726057i
$759$	0.625330	−	8.97435i	0.0226980	−	0.325748i
$760$	−18.7672	−	15.2861i	−0.680759	−	0.554486i
$761$	−8.69399	+	20.9891i	−0.315157	+	0.760856i	0.684341	+	0.729162i	$0.260090\pi$
$761$	−8.69399	+	20.9891i	−0.315157	+	0.760856i	−0.999498	+	0.0316936i	$0.989910\pi$
$762$	−0.473143	−	15.8515i	−0.0171402	−	0.574238i
$763$	5.65731	+	8.46676i	0.204808	+	0.306517i
$764$	−42.7414	+	28.7115i	−1.54633	+	1.03875i
$765$	11.7096	−	13.1325i	0.423360	−	0.474805i
$766$	5.26587	−	1.60447i	0.190264	−	0.0579719i
$767$	−49.7896			−1.79780
$768$	−13.9939	−	23.9201i	−0.504963	−	0.863141i
$769$	45.9611			1.65740			0.828701	−	0.559692i	$-0.189081\pi$
$769$	45.9611			1.65740			0.828701	+	0.559692i	$0.189081\pi$
$770$	−75.2359	+	22.9238i	−2.71131	+	0.826117i
$771$	5.64342	−	20.7199i	0.203243	−	0.746209i
$772$	−6.81375	+	4.57713i	−0.245232	+	0.164735i
$773$	4.35623	+	6.51956i	0.156683	+	0.234492i	0.901503	−	0.432773i	$-0.142465\pi$
$773$	4.35623	+	6.51956i	0.156683	+	0.234492i	−0.744820	+	0.667265i	$0.767465\pi$
$774$	8.26460	+	3.81462i	0.297065	+	0.137114i
$775$	−0.445432	+	1.07537i	−0.0160004	+	0.0386284i
$776$	13.1870	+	10.7410i	0.473387	+	0.385579i
$777$	70.4489	+	4.90886i	2.52734	+	0.176104i
$778$	−21.2878	−	17.4266i	−0.763205	−	0.624774i
$779$	1.67789	+	0.333752i	0.0601165	+	0.0119579i
$780$	9.26981	+	27.4570i	0.331912	+	0.983119i
$781$	−18.6871	−	12.4863i	−0.668677	−	0.446796i
$782$	−0.342092	+	3.51775i	−0.0122332	+	0.125794i
$783$	−4.26525	+	6.21580i	−0.152428	+	0.222135i
$784$	−50.9619	+	21.4040i	−1.82007	+	0.764429i
$785$	−27.1600	−	27.1600i	−0.969382	−	0.969382i
$786$	6.50554	+	28.2693i	0.232045	+	1.00833i
$787$	−17.3924	−	11.6212i	−0.619972	−	0.414252i	0.205530	−	0.978651i	$-0.434108\pi$
$787$	−17.3924	−	11.6212i	−0.619972	−	0.414252i	−0.825502	+	0.564399i	$0.809108\pi$
$788$	−18.9210	−	7.78276i	−0.674033	−	0.277249i
$789$	29.7230	+	23.0023i	1.05817	+	0.818904i
$790$	−39.3087	+	3.92048i	−1.39854	+	0.139484i
$791$	−20.3138	−	49.0418i	−0.722274	−	1.74372i
$792$	−42.0184	+	6.74152i	−1.49306	+	0.239550i
$793$	6.79707	−	16.4096i	0.241371	−	0.582721i
$794$	36.0772	+	10.8954i	1.28033	+	0.386662i
$795$	13.0615	−	1.66490i	0.463244	−	0.0590478i
$796$	6.14580	+	30.5040i	0.217832	+	1.08118i
$797$	−4.65026	−	23.3784i	−0.164721	−	0.828107i	−0.971461	−	0.237200i	$-0.923770\pi$
$797$	−4.65026	−	23.3784i	−0.164721	−	0.828107i	0.806740	−	0.590906i	$-0.201230\pi$
$798$	−32.0548	+	22.8304i	−1.13473	+	0.808189i
$799$	−10.7625			−0.380751
$800$	4.53788	+	2.38972i	0.160438	+	0.0844893i
$801$	−6.99594	−	9.27443i	−0.247189	−	0.327696i
$802$	41.2980	+	22.0088i	1.45828	+	0.777159i
$803$	−16.0540	+	3.19333i	−0.566532	+	0.112690i
$804$	−43.7615	+	25.1693i	−1.54335	+	0.887654i
$805$	6.38023	+	9.54868i	0.224873	+	0.336547i
$806$	−5.98284	−	1.80683i	−0.210737	−	0.0636428i
$807$	−14.5914	+	12.6904i	−0.513643	+	0.446725i
$808$	1.94799	−	20.5570i	0.0685299	−	0.723192i
$809$	46.1764	−	19.1269i	1.62348	−	0.672466i	0.628997	−	0.777408i	$-0.283466\pi$
$809$	46.1764	−	19.1269i	1.62348	−	0.672466i	0.994478	+	0.104942i	$0.0334657\pi$
$810$	5.50335	−	30.4399i	0.193368	−	1.06955i
$811$	−22.2468	−	4.42517i	−0.781192	−	0.155389i	−0.211644	−	0.977347i	$-0.567882\pi$
$811$	−22.2468	−	4.42517i	−0.781192	−	0.155389i	−0.569548	+	0.821958i	$0.692882\pi$
$812$	−12.2188	+	5.09649i	−0.428795	+	0.178852i
$813$	22.9746	−	13.1386i	0.805756	−	0.460790i
$814$	40.2677	+	48.9432i	1.41138	+	1.71546i
$815$	11.9262	−	11.9262i	0.417758	−	0.417758i
$816$	16.5743	−	2.19573i	0.580216	−	0.0768658i
$817$	5.34190	+	5.34190i	0.186889	+	0.186889i
$818$	0.411745	−	4.23399i	0.0143963	−	0.148038i
$819$	47.0400	−	2.69434i	1.64371	−	0.0941477i
$820$	−2.36156	+	0.00581974i	−0.0824693	+	0.000203234i
$821$	2.88820	−	14.5200i	0.100799	−	0.506750i	−0.897092	−	0.441843i	$-0.854325\pi$
$821$	2.88820	−	14.5200i	0.100799	−	0.506750i	0.997891	−	0.0649074i	$-0.0206752\pi$
$822$	−10.8595	−	24.1525i	−0.378768	−	0.842417i
$823$	−18.9723	−	45.8031i	−0.661332	−	1.59660i	−0.795718	−	0.605667i	$-0.792906\pi$
$823$	−18.9723	−	45.8031i	−0.661332	−	1.59660i	0.134386	−	0.990929i	$-0.457094\pi$
$824$	20.2150	−	10.9014i	0.704224	−	0.379769i
$825$	5.94249	−	5.16829i	0.206891	−	0.179937i
$826$	44.0995	+	82.2603i	1.53442	+	2.86220i
$827$	19.0429	−	12.7241i	0.662187	−	0.442459i	−0.178530	−	0.983934i	$-0.557134\pi$
$827$	19.0429	−	12.7241i	0.662187	−	0.442459i	0.840716	+	0.541476i	$0.182134\pi$
$828$	2.71606	+	5.58870i	0.0943897	+	0.194221i
$829$	7.58948	+	38.1549i	0.263593	+	1.32517i	0.854928	+	0.518747i	$0.173601\pi$
$829$	7.58948	+	38.1549i	0.263593	+	1.32517i	−0.591334	+	0.806427i	$0.701399\pi$
$830$	8.49499	−	2.58836i	0.294865	−	0.0898433i
$831$	−11.2835	+	22.6452i	−0.391421	+	0.785553i
$832$	−10.3497	+	25.5184i	−0.358812	+	0.884691i
$833$		−	33.3469i		−	1.15540i
$834$	−2.70214	+	16.0779i	−0.0935675	+	0.556731i
$835$	29.0949	−	5.78734i	1.00687	−	0.200279i
$836$	−34.6574	−	6.80504i	−1.19865	−	0.235357i
$837$	4.65853	+	4.77507i	0.161022	+	0.165050i
$838$	27.7172	−	14.8591i	0.957475	−	0.513299i
$839$	−40.7567	−	16.8820i	−1.40708	−	0.582830i	−0.455499	−	0.890236i	$-0.650539\pi$
$839$	−40.7567	−	16.8820i	−1.40708	−	0.582830i	−0.951578	+	0.307406i	$0.900539\pi$
$840$	37.1529	−	39.6343i	1.28190	−	1.36751i
$841$	24.8480	−	10.2924i	0.856826	−	0.354909i
$842$	−32.2475	−	26.3984i	−1.11132	−	0.909751i
$843$	26.3749	+	20.4112i	0.908398	+	0.703000i
$844$	−1.84728	+	0.00455236i	−0.0635859	+	0.000156699i
$845$	−1.55478	+	2.32689i	−0.0534859	+	0.0800474i
$846$	−16.1379	+	9.87914i	−0.554831	+	0.339652i
$847$	−45.6615	+	45.6615i	−1.56895	+	1.56895i
$848$	10.4374	+	6.89987i	0.358421	+	0.236943i
$849$	−35.9527	+	12.0394i	−1.23389	+	0.413192i
$850$	−2.38936	+	1.96583i	−0.0819543	+	0.0674273i
$851$	5.14139	−	7.69463i	0.176245	−	0.263769i
$852$	15.4887	+	1.04090i	0.530634	+	0.0356606i
$853$	5.43209	−	27.3090i	0.185991	−	0.935041i	−0.769190	−	0.639020i	$-0.779340\pi$
$853$	5.43209	−	27.3090i	0.185991	−	0.935041i	0.955181	−	0.296021i	$-0.0956599\pi$
$854$	−33.1315	+	3.30439i	−1.13374	+	0.113074i
$855$	13.0192	−	22.1271i	0.445248	−	0.756732i
$856$	−9.82666	−	11.8840i	−0.335868	−	0.406186i
$857$	17.5854	+	7.28413i	0.600707	+	0.248821i	0.662250	−	0.749283i	$-0.269602\pi$
$857$	17.5854	+	7.28413i	0.600707	+	0.248821i	−0.0615422	+	0.998104i	$0.519602\pi$
$858$	30.7797	+	28.9955i	1.05080	+	0.989891i
$859$	−8.05814	+	5.38427i	−0.274940	+	0.183709i	−0.685394	−	0.728172i	$-0.740370\pi$
$859$	−8.05814	+	5.38427i	−0.274940	+	0.183709i	0.410454	+	0.911881i	$0.365370\pi$
$860$	−8.68525	−	5.77239i	−0.296165	−	0.196837i
$861$	−1.00903	+	3.70465i	−0.0343875	+	0.126254i
$862$	−0.204194	+	0.383154i	−0.00695486	+	0.0130503i
$863$			9.58919i			0.326420i	0.986591	+	0.163210i	$0.0521848\pi$
$863$			9.58919i			0.326420i	−0.986591	+	0.163210i	$0.947815\pi$
$864$	22.8368	−	18.5062i	0.776923	−	0.629595i
$865$		−	14.4881i		−	0.492609i
$866$	22.3056	+	11.8873i	0.757974	+	0.403945i
$867$	5.08724	−	18.6779i	0.172772	−	0.634333i
$868$	2.31393	+	11.4849i	0.0785401	+	0.389824i
$869$	−47.9283	+	32.0247i	−1.62586	+	1.08636i
$870$	5.92213	−	6.28654i	0.200779	−	0.213134i
$871$	46.3452	+	19.1968i	1.57035	+	0.650458i
$872$	−1.85469	−	6.03372i	−0.0628078	−	0.204327i
$873$	−9.14812	+	15.5479i	−0.309617	+	0.526217i
$874$	0.511806	+	5.13163i	0.0173121	+	0.173580i
$875$	8.85549	−	44.5195i	0.299370	−	1.50503i
$876$	8.51257	−	7.44046i	0.287613	−	0.251390i
$877$	−0.159222	+	0.238293i	−0.00537654	+	0.00804657i	−0.834148	−	0.551540i	$-0.814040\pi$
$877$	−0.159222	+	0.238293i	−0.00537654	+	0.00804657i	0.828772	+	0.559587i	$0.189040\pi$
$878$	17.7070	+	21.5219i	0.597583	+	0.726330i
$879$	17.2489	−	5.77612i	0.581791	−	0.194824i
$880$	48.7547	−	0.240300i	1.64352	−	0.00810051i
$881$	−25.7727	+	25.7727i	−0.868304	+	0.868304i	−0.992285	−	0.123981i	$-0.960434\pi$
$881$	−25.7727	+	25.7727i	−0.868304	+	0.868304i	0.123981	+	0.992285i	$0.460434\pi$
$882$	−30.6098	−	50.0020i	−1.03069	−	1.68365i
$883$	−6.20604	+	9.28800i	−0.208850	+	0.312566i	−0.921075	−	0.389385i	$-0.872688\pi$
$883$	−6.20604	+	9.28800i	−0.208850	+	0.312566i	0.712225	+	0.701951i	$0.247688\pi$
$884$	−11.7762	−	11.7183i	−0.396078	−	0.394130i
$885$	−48.1532	−	37.2653i	−1.61865	−	1.25266i
$886$	−13.4885	+	16.4772i	−0.453156	+	0.553562i
$887$	8.62353	−	3.57198i	0.289550	−	0.119935i	−0.233181	−	0.972433i	$-0.574913\pi$
$887$	8.62353	−	3.57198i	0.289550	−	0.119935i	0.522731	+	0.852498i	$0.324913\pi$
$888$	−40.9646	−	15.4377i	−1.37468	−	0.518054i
$889$	27.2915	+	11.3045i	0.915329	+	0.379142i
$890$	6.28853	+	11.7302i	0.210792	+	0.393198i
$891$	−13.8030	−	42.9750i	−0.462418	−	1.43972i
$892$	−9.78483	+	6.57295i	−0.327620	+	0.220079i
$893$	−15.4022	+	3.06370i	−0.515416	+	0.102523i
$894$	54.2498	+	9.11755i	1.81438	+	0.304936i
$895$			60.9964i			2.03888i
$896$	51.3274	−	5.50270i	1.71473	−	0.183832i
$897$	2.75364	−	5.52635i	0.0919414	−	0.184520i
$898$	−14.7866	−	48.5297i	−0.493436	−	1.61946i
$899$	0.363371	+	1.82679i	0.0121191	+	0.0609269i
$900$	−1.77825	+	5.14090i	−0.0592749	+	0.171363i
$901$	−6.27626	+	4.19367i	−0.209093	+	0.139711i
$902$	−3.03705	+	1.62815i	−0.101123	+	0.0542115i
$903$	−12.7937	+	11.1269i	−0.425748	+	0.370281i
$904$	3.34634	+	32.7350i	0.111298	+	1.08875i
$905$	3.91344	+	9.44787i	0.130087	+	0.314058i
$906$	−31.2483	+	14.0499i	−1.03815	+	0.466776i
$907$	1.62027	−	8.14563i	0.0538001	−	0.270471i	−0.944517	−	0.328463i	$-0.893470\pi$
$907$	1.62027	−	8.14563i	0.0538001	−	0.270471i	0.998317	+	0.0579912i	$0.0184695\pi$
$908$	−21.2059	+	21.3107i	−0.703742	+	0.707220i
$909$	21.8658	−	1.25242i	0.725243	−	0.0415401i
$910$	−53.7277	−	5.22488i	−1.78106	−	0.173203i
$911$	39.2271	+	39.2271i	1.29965	+	1.29965i	0.928621	+	0.371030i	$0.120995\pi$
$911$	39.2271	+	39.2271i	1.29965	+	1.29965i	0.371030	+	0.928621i	$0.379005\pi$
$912$	23.0944	−	7.86039i	0.764732	−	0.260284i
$913$	9.16290	−	9.16290i	0.303248	−	0.303248i
$914$	32.0815	−	26.3948i	1.06116	−	0.873063i
$915$	18.8555	−	10.7830i	0.623344	−	0.356474i
$916$	17.4507	+	7.17797i	0.576586	+	0.237167i
$917$	−52.9962	−	10.5416i	−1.75009	−	0.348114i
$918$	4.95868	+	17.0259i	0.163661	+	0.561938i
$919$	14.8613	−	6.15577i	0.490230	−	0.203060i	−0.123854	−	0.992300i	$-0.539525\pi$
$919$	14.8613	−	6.15577i	0.490230	−	0.203060i	0.614084	+	0.789240i	$0.289525\pi$
$920$	−2.09169	−	6.80473i	−0.0689611	−	0.224345i
$921$	−30.8372	+	26.8196i	−1.01612	+	0.883737i
$922$	−3.23845	+	10.7233i	−0.106653	+	0.353153i
$923$	−8.56986	−	12.8257i	−0.282080	−	0.422163i
$924$	20.6431	−	76.5349i	0.679109	−	2.51781i
$925$	7.94588	−	1.58053i	0.261259	−	0.0519676i
$926$	−0.989803	+	1.85729i	−0.0325270	+	0.0610344i
$927$	14.6700	+	19.4478i	0.481825	+	0.638749i
$928$	8.16222	−	0.854714i	0.267938	−	0.0280574i
$929$	33.3606			1.09453			0.547263	−	0.836961i	$-0.315670\pi$
$929$	33.3606			1.09453			0.547263	+	0.836961i	$0.315670\pi$
$930$	−4.43388	−	6.22534i	−0.145393	−	0.204137i
$931$	−9.49264	−	47.7227i	−0.311109	−	1.56405i
$932$	2.36088	−	3.55222i	0.0773331	−	0.116357i
$933$	29.2960	−	3.73425i	0.959109	−	0.122254i
$934$	13.2612	−	43.9112i	0.433921	−	1.43682i
$935$	−11.2563	+	27.1750i	−0.368119	+	0.888718i
$936$	−28.4144	−	6.76141i	−0.928753	−	0.221004i
$937$	−10.0854	−	24.3482i	−0.329475	−	0.795422i	−0.998631	−	0.0523007i	$-0.983345\pi$
$937$	−10.0854	−	24.3482i	−0.329475	−	0.795422i	0.669157	−	0.743121i	$-0.266655\pi$
$938$	−9.33252	−	93.5725i	−0.304718	−	3.05525i
$939$	18.6700	+	14.4485i	0.609274	+	0.471511i
$940$	20.0075	−	8.34520i	0.652572	−	0.272190i
$941$	−36.6600	−	24.4954i	−1.19508	−	0.798528i	−0.211216	−	0.977439i	$-0.567742\pi$
$941$	−36.6600	−	24.4954i	−1.19508	−	0.798528i	−0.983865	+	0.178911i	$0.942742\pi$
$942$	37.7264	−	8.68186i	1.22919	−	0.282870i
$943$	0.355785	+	0.355785i	0.0115860	+	0.0115860i
$944$	−11.5672	−	56.6903i	−0.376479	−	1.84511i
$945$	47.5106	+	32.6016i	1.54552	+	1.06053i
$946$	−15.1456	−	1.47287i	−0.492426	−	0.0478872i
$947$	19.7723	+	13.2114i	0.642514	+	0.429314i	0.833683	−	0.552243i	$-0.186228\pi$
$947$	19.7723	+	13.2114i	0.642514	+	0.429314i	−0.191169	+	0.981557i	$0.561228\pi$
$948$	17.6686	−	35.6796i	0.573850	−	1.15882i
$949$	−11.0185	−	2.19171i	−0.357675	−	0.0711460i
$950$	−2.85981	+	3.49346i	−0.0927844	+	0.113343i
$951$	0.201582	+	0.0140462i	0.00653675	+	0.000455479i
$952$	−8.93015	+	29.8354i	−0.289428	+	0.966969i
$953$	1.55273	−	3.74863i	0.0502979	−	0.121430i	−0.896733	−	0.442571i	$-0.854066\pi$
$953$	1.55273	−	3.74863i	0.0502979	−	0.121430i	0.947031	+	0.321141i	$0.104066\pi$
$954$	−5.56149	+	12.0493i	−0.180060	+	0.390110i
$955$	34.7615	+	52.0243i	1.12486	+	1.68347i
$956$	0.0532638	−	0.271267i	0.00172267	−	0.00877341i
$957$	3.31184	−	12.1595i	0.107057	−	0.393060i
$958$	−4.61064	−	15.1321i	−0.148963	−	0.488896i
$959$	49.3280			1.59289
$960$	−29.1090	+	16.9334i	−0.939487	+	0.546524i
$961$	−29.3517			−0.946830
$962$	12.6786	+	41.6111i	0.408774	+	1.34159i
$963$	10.8851	−	12.2078i	0.350767	−	0.393391i
$964$	−31.7965	−	6.24329i	−1.02410	−	0.201083i
$965$	5.54161	+	8.29360i	0.178391	+	0.266981i
$966$	−11.5694	+	0.345329i	−0.372238	+	0.0111108i
$967$	13.3757	−	32.2918i	0.430134	−	1.03844i	−0.549110	−	0.835750i	$-0.685033\pi$
$967$	13.3757	−	32.2918i	0.430134	−	1.03844i	0.979244	−	0.202685i	$-0.0649667\pi$
$968$	35.2332	−	19.0003i	1.13244	−	0.610694i
$969$	−1.02305	+	14.6821i	−0.0328650	+	0.471658i
$970$	13.0917	−	15.9924i	0.420348	−	0.513485i
$971$	32.1851	+	6.40201i	1.03287	+	0.205450i	0.682289	−	0.731083i	$-0.260985\pi$
$971$	32.1851	+	6.40201i	1.03287	+	0.205450i	0.350579	+	0.936533i	$0.385985\pi$
$972$	23.0637	+	20.9778i	0.739768	+	0.672862i
$973$	−25.2507	−	16.8720i	−0.809499	−	0.540890i
$974$	2.43066	+	0.236375i	0.0778833	+	0.00757395i
$975$	5.12557	−	1.71639i	0.164149	−	0.0549685i
$976$	20.2630	+	3.92684i	0.648604	+	0.125695i
$977$	6.05699	+	6.05699i	0.193780	+	0.193780i	0.797327	−	0.603547i	$-0.206246\pi$
$977$	6.05699	+	6.05699i	0.193780	+	0.193780i	−0.603547	+	0.797327i	$0.706246\pi$
$978$	3.81230	+	16.5661i	0.121904	+	0.529724i
$979$	16.1479	+	10.7897i	0.516090	+	0.344841i
$980$	25.8570	+	61.9917i	0.825971	+	1.98025i
$981$	6.02897	−	2.91168i	0.192490	−	0.0929629i
$982$	−2.93534	−	29.4312i	−0.0936705	−	0.939187i
$983$	−16.6301	−	40.1487i	−0.530419	−	1.28054i	−0.931246	−	0.364391i	$-0.881277\pi$
$983$	−16.6301	−	40.1487i	−0.530419	−	1.28054i	0.400827	−	0.916154i	$-0.368723\pi$
$984$	1.25774	−	2.02071i	0.0400952	−	0.0644179i
$985$	−9.51407	+	22.9690i	−0.303143	+	0.731853i
$986$	−1.43141	+	4.73975i	−0.0455854	+	0.150944i
$987$	−4.45659	−	34.9630i	−0.141855	−	1.11288i
$988$	−20.1887	−	13.4178i	−0.642289	−	0.426878i
$989$	0.433471	+	2.17921i	0.0137836	+	0.0692948i
$990$	8.06629	+	51.0799i	0.256364	+	1.62342i
$991$	32.0265			1.01736			0.508678	−	0.860957i	$-0.330134\pi$
$991$	32.0265			1.01736			0.508678	+	0.860957i	$0.330134\pi$
$992$	0.667312	−	7.23182i	0.0211872	−	0.229610i
$993$	−16.6974	+	33.5105i	−0.529877	+	1.06342i
$994$	−13.5996	+	25.5187i	−0.431354	+	0.809405i
$995$	37.0860	−	7.37687i	1.17571	−	0.233863i
$996$	−2.33084	+	8.64166i	−0.0738556	+	0.273821i
$997$	−5.93991	−	8.88970i	−0.188119	−	0.281540i	0.725407	−	0.688320i	$-0.241651\pi$
$997$	−5.93991	−	8.88970i	−0.188119	−	0.281540i	−0.913526	+	0.406780i	$0.866651\pi$
$998$	2.97103	−	9.83778i	0.0940462	−	0.311410i
$999$	9.62034	−	45.4249i	0.304374	−	1.43718i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.28	yes	240
3.2	odd	2	inner	192.2.s.a.107.3	✓	240
4.3	odd	2		768.2.s.a.335.3		240
12.11	even	2		768.2.s.a.335.7		240
64.3	odd	16	inner	192.2.s.a.131.3	yes	240
64.61	even	16		768.2.s.a.431.7		240
192.125	odd	16		768.2.s.a.431.3		240
192.131	even	16	inner	192.2.s.a.131.28	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.3	✓	240	3.2	odd	2	inner
192.2.s.a.107.28	yes	240	1.1	even	1	trivial
192.2.s.a.131.3	yes	240	64.3	odd	16	inner
192.2.s.a.131.28	yes	240	192.131	even	16	inner
768.2.s.a.335.3		240	4.3	odd	2
768.2.s.a.335.7		240	12.11	even	2
768.2.s.a.431.3		240	192.125	odd	16
768.2.s.a.431.7		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)

\(f(q)\)	\(=\)	\(q+(1.35281 - 0.412192i) q^{2} +(1.67117 + 0.455172i) q^{3} +(1.66020 - 1.11524i) q^{4} +(-1.35023 - 2.02077i) q^{5} +(2.44840 - 0.0730812i) q^{6} +(-1.74608 + 4.21542i) q^{7} +(1.78624 - 2.19302i) q^{8} +(2.58564 + 1.52134i) q^{9} +O(q^{10})\)	\(q+(1.35281 - 0.412192i) q^{2} +(1.67117 + 0.455172i) q^{3} +(1.66020 - 1.11524i) q^{4} +(-1.35023 - 2.02077i) q^{5} +(2.44840 - 0.0730812i) q^{6} +(-1.74608 + 4.21542i) q^{7} +(1.78624 - 2.19302i) q^{8} +(2.58564 + 1.52134i) q^{9} +(-2.65955 - 2.17716i) q^{10} +(-4.91888 - 0.978426i) q^{11} +(3.28210 - 1.10807i) q^{12} +(-2.86206 - 1.91237i) q^{13} +(-0.624561 + 6.42239i) q^{14} +(-1.33668 - 3.99164i) q^{15} +(1.51250 - 3.70302i) q^{16} +(1.70638 + 1.70638i) q^{17} +(4.12496 + 0.992313i) q^{18} +(2.92775 + 1.95626i) q^{19} +(-4.49528 - 1.84904i) q^{20} +(-4.83675 + 6.24993i) q^{21} +(-7.05762 + 0.703896i) q^{22} +(0.396316 + 0.956791i) q^{23} +(3.98332 - 2.85187i) q^{24} +(-0.346951 + 0.837614i) q^{25} +(-4.66008 - 1.40735i) q^{26} +(3.62857 + 3.71934i) q^{27} +(1.80234 + 8.94572i) q^{28} +(0.283033 + 1.42290i) q^{29} +(-3.45359 - 4.84897i) q^{30} +1.28385 q^{31} +(0.519775 - 5.63292i) q^{32} +(-7.77495 - 3.87406i) q^{33} +(3.01177 + 1.60506i) q^{34} +(10.8760 - 2.16337i) q^{35} +(5.98932 - 0.357864i) q^{36} +(-4.96454 - 7.42995i) q^{37} +(4.76705 + 1.43966i) q^{38} +(-3.91254 - 4.49862i) q^{39} +(-6.84343 - 0.648485i) q^{40} +(0.448865 - 0.185926i) q^{41} +(-3.96704 + 10.4486i) q^{42} +(2.10425 + 0.418561i) q^{43} +(-9.25748 + 3.86133i) q^{44} +(-0.416931 - 7.27914i) q^{45} +(0.930522 + 1.13100i) q^{46} +(-3.15360 + 3.15360i) q^{47} +(4.21316 - 5.49993i) q^{48} +(-9.77121 - 9.77121i) q^{49} +(-0.124102 + 1.27614i) q^{50} +(2.07496 + 3.62836i) q^{51} +(-6.88431 + 0.0169654i) q^{52} +(-0.610237 + 3.06787i) q^{53} +(6.44185 + 3.53590i) q^{54} +(4.66447 + 11.2610i) q^{55} +(6.12558 + 11.3590i) q^{56} +(4.00234 + 4.60188i) q^{57} +(0.969399 + 1.80826i) q^{58} +(12.0269 - 8.03610i) q^{59} +(-6.67076 - 5.13620i) q^{60} +(1.00667 + 5.06086i) q^{61} +(1.73680 - 0.529192i) q^{62} +(-10.9278 + 8.24315i) q^{63} +(-1.61869 - 7.83453i) q^{64} +8.36569i q^{65} +(-12.1149 - 2.03610i) q^{66} +(-14.2933 + 2.84310i) q^{67} +(4.73595 + 0.929913i) q^{68} +(0.226807 + 1.77936i) q^{69} +(13.8215 - 7.40963i) q^{70} +(4.14017 + 1.71492i) q^{71} +(7.95491 - 2.95287i) q^{72} +(3.01531 - 1.24898i) q^{73} +(-9.77865 - 8.00498i) q^{74} +(-0.961074 + 1.24187i) q^{75} +(7.04233 - 0.0173548i) q^{76} +(12.7133 - 19.0267i) q^{77} +(-7.14722 - 4.47307i) q^{78} +(8.12715 - 8.12715i) q^{79} +(-9.52516 + 1.94353i) q^{80} +(4.37103 + 7.86728i) q^{81} +(0.530593 - 0.436542i) q^{82} +(-1.43547 + 2.14834i) q^{83} +(-1.05982 + 15.7702i) q^{84} +(1.14419 - 5.75222i) q^{85} +(3.01918 - 0.301120i) q^{86} +(-0.174669 + 2.50675i) q^{87} +(-10.9320 + 9.03951i) q^{88} +(-3.57762 - 1.48190i) q^{89} +(-3.56443 - 9.67544i) q^{90} +(13.0588 - 8.72562i) q^{91} +(1.72501 + 1.14648i) q^{92} +(2.14553 + 0.584372i) q^{93} +(-2.96634 + 5.56612i) q^{94} -8.55771i q^{95} +(3.43259 - 9.17700i) q^{96} +6.01319i q^{97} +(-17.2462 - 9.19099i) q^{98} +(-11.2299 - 10.0132i) 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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