LMFDB - Embedded newform 260.2.bg.c.23.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(23,260)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 10]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("260.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bg (of order $12$, degree $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.16
Character	$\chi$	$=$	260.23
Dual form			260.2.bg.c.147.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.300622 - 1.38189i) q^{2} +(2.28888 + 0.613303i) q^{3} +(-1.81925 + 0.830853i) q^{4} +(2.18429 - 0.478409i) q^{5} +(0.159433 - 3.34735i) q^{6} +(0.371096 + 1.38495i) q^{7} +(1.69506 + 2.26424i) q^{8} +(2.26474 + 1.30755i) q^{9} +O(q^{10})$	\(q+(-0.300622 - 1.38189i) q^{2} +(2.28888 + 0.613303i) q^{3} +(-1.81925 + 0.830853i) q^{4} +(2.18429 - 0.478409i) q^{5} +(0.159433 - 3.34735i) q^{6} +(0.371096 + 1.38495i) q^{7} +(1.69506 + 2.26424i) q^{8} +(2.26474 + 1.30755i) q^{9} +(-1.31776 - 2.87463i) q^{10} +(0.554303 + 0.960081i) q^{11} +(-4.67361 + 0.785968i) q^{12} +(-3.47700 + 0.954179i) q^{13} +(1.80229 - 0.929160i) q^{14} +(5.29298 + 0.244611i) q^{15} +(2.61937 - 3.02307i) q^{16} +(-0.944612 - 3.52534i) q^{17} +(1.12606 - 3.52271i) q^{18} +(-1.74136 - 1.00537i) q^{19} +(-3.57629 + 2.68517i) q^{20} +3.39757i q^{21} +(1.16009 - 1.05461i) q^{22} +(0.488335 + 0.130849i) q^{23} +(2.49111 + 6.22215i) q^{24} +(4.54225 - 2.08997i) q^{25} +(2.36383 + 4.51800i) q^{26} +(-0.644933 - 0.644933i) q^{27} +(-1.82581 - 2.21125i) q^{28} +(2.09671 - 1.21054i) q^{29} +(-1.25316 - 7.38787i) q^{30} -9.56885 q^{31} +(-4.96499 - 2.71088i) q^{32} +(0.679911 + 2.53746i) q^{33} +(-4.58767 + 2.36515i) q^{34} +(1.47315 + 2.84759i) q^{35} +(-5.20652 - 0.497095i) q^{36} +(1.95783 - 7.30671i) q^{37} +(-0.865828 + 2.70861i) q^{38} +(-8.54363 + 0.0515442i) q^{39} +(4.78573 + 4.13483i) q^{40} +(-3.52558 + 2.03549i) q^{41} +(4.69508 - 1.02138i) q^{42} +(-0.467360 - 1.74421i) q^{43} +(-1.80610 - 1.28609i) q^{44} +(5.57239 + 1.77259i) q^{45} +(0.0340152 - 0.714162i) q^{46} +(-5.18593 + 5.18593i) q^{47} +(7.84946 - 5.31296i) q^{48} +(4.28181 - 2.47210i) q^{49} +(-4.25361 - 5.64861i) q^{50} -8.64840i q^{51} +(5.53276 - 4.62477i) q^{52} +(7.47040 + 7.47040i) q^{53} +(-0.697347 + 1.08511i) q^{54} +(1.67007 + 1.83191i) q^{55} +(-2.50683 + 3.18782i) q^{56} +(-3.36915 - 3.36915i) q^{57} +(-2.30314 - 2.53351i) q^{58} +(-6.67650 - 3.85468i) q^{59} +(-9.83251 + 3.95268i) q^{60} +(-6.83459 + 11.8379i) q^{61} +(2.87660 + 13.2231i) q^{62} +(-0.970452 + 3.62178i) q^{63} +(-2.25357 + 7.67603i) q^{64} +(-7.13829 + 3.74763i) q^{65} +(3.30210 - 1.70238i) q^{66} +(15.5339 + 4.16230i) q^{67} +(4.64753 + 5.62865i) q^{68} +(1.03749 + 0.598994i) q^{69} +(3.49221 - 2.89179i) q^{70} +(-7.27425 + 12.5994i) q^{71} +(0.878260 + 7.34429i) q^{72} +(3.25736 - 3.25736i) q^{73} +(-10.6857 - 0.508952i) q^{74} +(11.6784 - 1.99791i) q^{75} +(4.00329 + 0.382216i) q^{76} +(-1.12396 + 1.12396i) q^{77} +(2.63963 + 11.7909i) q^{78} +5.95574 q^{79} +(4.27519 - 7.85638i) q^{80} +(-5.00328 - 8.66593i) q^{81} +(3.87270 + 4.26006i) q^{82} +(-2.03037 - 2.03037i) q^{83} +(-2.82288 - 6.18104i) q^{84} +(-3.74986 - 7.24845i) q^{85} +(-2.26981 + 1.17019i) q^{86} +(5.54153 - 1.48485i) q^{87} +(-1.23428 + 2.88247i) q^{88} +(7.16539 + 12.4108i) q^{89} +(0.774350 - 8.23333i) q^{90} +(-2.61179 - 4.46138i) q^{91} +(-0.997121 + 0.167687i) q^{92} +(-21.9019 - 5.86860i) q^{93} +(8.72539 + 5.60739i) q^{94} +(-4.28461 - 1.36294i) q^{95} +(-9.70166 - 9.24992i) q^{96} +(-3.84966 + 1.03151i) q^{97} +(-4.70338 - 5.17383i) q^{98} +2.89911i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) $ 144 * q - 6 * q^2 - 12 * q^6	$ 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−0.300622	−	1.38189i	−0.212572	−	0.977146i
$2$	−0.300622	−	1.38189i	−0.212572	−	0.977146i
$3$	2.28888	+	0.613303i	1.32148	+	0.354090i	0.849533	−	0.527535i	$-0.176884\pi$
$3$	2.28888	+	0.613303i	1.32148	+	0.354090i	0.471950	+	0.881625i	$0.343550\pi$
$4$	−1.81925	+	0.830853i	−0.909627	+	0.415427i
$5$	2.18429	−	0.478409i	0.976844	−	0.213951i
$5$	2.18429	−	0.478409i	0.976844	−	0.213951i
$6$	0.159433	−	3.34735i	0.0650881	−	1.36655i
$7$	0.371096	+	1.38495i	0.140261	+	0.523462i	0.999921	+	0.0125942i	$0.00400898\pi$
$7$	0.371096	+	1.38495i	0.140261	+	0.523462i	−0.859660	+	0.510867i	$0.829324\pi$
$8$	1.69506	+	2.26424i	0.599293	+	0.800530i
$9$	2.26474	+	1.30755i	0.754914	+	0.435850i
$10$	−1.31776	−	2.87463i	−0.416711	−	0.909039i
$11$	0.554303	+	0.960081i	0.167129	+	0.289475i	0.937409	−	0.348230i	$-0.113217\pi$
$11$	0.554303	+	0.960081i	0.167129	+	0.289475i	−0.770281	+	0.637705i	$0.779884\pi$
$12$	−4.67361	+	0.785968i	−1.34916	+	0.226889i
$13$	−3.47700	+	0.954179i	−0.964347	+	0.264642i
$13$	−3.47700	+	0.954179i	−0.964347	+	0.264642i
$14$	1.80229	−	0.929160i	0.481683	−	0.248329i
$15$	5.29298	+	0.244611i	1.36664	+	0.0631583i
$16$	2.61937	−	3.02307i	0.654841	−	0.755766i
$17$	−0.944612	−	3.52534i	−0.229102	−	0.855021i	−0.980719	−	0.195421i	$-0.937393\pi$
$17$	−0.944612	−	3.52534i	−0.229102	−	0.855021i	0.751617	−	0.659599i	$-0.229274\pi$
$18$	1.12606	−	3.52271i	0.265415	−	0.830310i
$19$	−1.74136	−	1.00537i	−0.399495	−	0.230648i	0.286771	−	0.957999i	$-0.407418\pi$
$19$	−1.74136	−	1.00537i	−0.399495	−	0.230648i	−0.686266	+	0.727351i	$0.740751\pi$
$20$	−3.57629	+	2.68517i	−0.799683	+	0.600423i
$21$			3.39757i			0.741411i
$22$	1.16009	−	1.05461i	0.247333	−	0.224843i
$23$	0.488335	+	0.130849i	0.101825	+	0.0272839i	0.309372	−	0.950941i	$-0.399881\pi$
$23$	0.488335	+	0.130849i	0.101825	+	0.0272839i	−0.207547	+	0.978225i	$0.566548\pi$
$24$	2.49111	+	6.22215i	0.508496	+	1.27009i
$25$	4.54225	−	2.08997i	0.908450	−	0.417994i
$26$	2.36383	+	4.51800i	0.463586	+	0.886052i
$27$	−0.644933	−	0.644933i	−0.124117	−	0.124117i
$28$	−1.82581	−	2.21125i	−0.345045	−	0.417886i
$29$	2.09671	−	1.21054i	0.389349	−	0.224791i	−0.292529	−	0.956257i	$-0.594497\pi$
$29$	2.09671	−	1.21054i	0.389349	−	0.224791i	0.681878	+	0.731466i	$0.261163\pi$
$30$	−1.25316	−	7.38787i	−0.228794	−	1.34883i
$31$	−9.56885			−1.71862			−0.859308	−	0.511458i	$-0.829105\pi$
$31$	−9.56885			−1.71862			−0.859308	+	0.511458i	$0.829105\pi$
$32$	−4.96499	−	2.71088i	−0.877694	−	0.479221i
$33$	0.679911	+	2.53746i	0.118357	+	0.441716i
$34$	−4.58767	+	2.36515i	−0.786779	+	0.405619i
$35$	1.47315	+	2.84759i	0.249008	+	0.481331i
$36$	−5.20652	−	0.497095i	−0.867753	−	0.0828492i
$37$	1.95783	−	7.30671i	0.321865	−	1.20122i	−0.595561	−	0.803310i	$-0.703070\pi$
$37$	1.95783	−	7.30671i	0.321865	−	1.20122i	0.917426	−	0.397906i	$-0.130263\pi$
$38$	−0.865828	+	2.70861i	−0.140456	+	0.439394i
$39$	−8.54363	+	0.0515442i	−1.36808	+	0.00825368i
$40$	4.78573	+	4.13483i	0.756690	+	0.653774i
$41$	−3.52558	+	2.03549i	−0.550603	+	0.317891i	−0.749365	−	0.662157i	$-0.769641\pi$
$41$	−3.52558	+	2.03549i	−0.550603	+	0.317891i	0.198762	+	0.980048i	$0.436308\pi$
$42$	4.69508	−	1.02138i	0.724466	−	0.157603i
$43$	−0.467360	−	1.74421i	−0.0712717	−	0.265990i	0.921090	−	0.389349i	$-0.127300\pi$
$43$	−0.467360	−	1.74421i	−0.0712717	−	0.265990i	−0.992362	+	0.123359i	$0.960633\pi$
$44$	−1.80610	−	1.28609i	−0.272280	−	0.193885i
$45$	5.57239	+	1.77259i	0.830684	+	0.264243i
$46$	0.0340152	−	0.714162i	0.00501526	−	0.105297i
$47$	−5.18593	+	5.18593i	−0.756445	+	0.756445i	−0.975674	−	0.219228i	$-0.929646\pi$
$47$	−5.18593	+	5.18593i	−0.756445	+	0.756445i	0.219228	+	0.975674i	$0.429646\pi$
$48$	7.84946	−	5.31296i	1.13297	−	0.766860i
$49$	4.28181	−	2.47210i	0.611687	−	0.353157i
$50$	−4.25361	−	5.64861i	−0.601552	−	0.798834i
$51$		−	8.64840i		−	1.21102i
$52$	5.53276	−	4.62477i	0.767256	−	0.641341i
$53$	7.47040	+	7.47040i	1.02614	+	1.02614i	0.999649	+	0.0264894i	$0.00843282\pi$
$53$	7.47040	+	7.47040i	1.02614	+	1.02614i	0.0264894	+	0.999649i	$0.491567\pi$
$54$	−0.697347	+	1.08511i	−0.0948969	+	0.147665i
$55$	1.67007	+	1.83191i	0.225192	+	0.247015i
$56$	−2.50683	+	3.18782i	−0.334989	+	0.425990i
$57$	−3.36915	−	3.36915i	−0.446255	−	0.446255i
$58$	−2.30314	−	2.53351i	−0.302418	−	0.332666i
$59$	−6.67650	−	3.85468i	−0.869206	−	0.501837i	−0.00212199	−	0.999998i	$-0.500675\pi$
$59$	−6.67650	−	3.85468i	−0.869206	−	0.501837i	−0.867084	+	0.498161i	$0.834009\pi$
$60$	−9.83251	+	3.95268i	−1.26937	+	0.510289i
$61$	−6.83459	+	11.8379i	−0.875079	+	1.51568i	−0.0184012	+	0.999831i	$0.505858\pi$
$61$	−6.83459	+	11.8379i	−0.875079	+	1.51568i	−0.856678	+	0.515851i	$0.827476\pi$
$62$	2.87660	+	13.2231i	0.365329	+	1.67934i
$63$	−0.970452	+	3.62178i	−0.122265	+	0.456301i
$64$	−2.25357	+	7.67603i	−0.281696	+	0.959504i
$65$	−7.13829	+	3.74763i	−0.885396	+	0.464837i
$66$	3.30210	−	1.70238i	0.406461	−	0.209548i
$67$	15.5339	+	4.16230i	1.89777	+	0.508505i	0.997287	+	0.0736106i	$0.0234522\pi$
$67$	15.5339	+	4.16230i	1.89777	+	0.508505i	0.900481	+	0.434895i	$0.143214\pi$
$68$	4.64753	+	5.62865i	0.563596	+	0.682574i
$69$	1.03749	+	0.598994i	0.124899	+	0.0721104i
$70$	3.49221	−	2.89179i	0.417399	−	0.345635i
$71$	−7.27425	+	12.5994i	−0.863295	+	1.49527i	0.00543484	+	0.999985i	$0.498270\pi$
$71$	−7.27425	+	12.5994i	−0.863295	+	1.49527i	−0.868730	+	0.495286i	$0.835063\pi$
$72$	0.878260	+	7.34429i	0.103504	+	0.865532i
$73$	3.25736	−	3.25736i	0.381245	−	0.381245i	−0.490306	−	0.871551i	$-0.663115\pi$
$73$	3.25736	−	3.25736i	0.381245	−	0.381245i	0.871551	+	0.490306i	$0.163115\pi$
$74$	−10.6857	−	0.508952i	−1.24218	−	0.0591645i
$75$	11.6784	−	1.99791i	1.34851	−	0.230699i
$76$	4.00329	+	0.382216i	0.459209	+	0.0438432i
$77$	−1.12396	+	1.12396i	−0.128088	+	0.128088i
$78$	2.63963	+	11.7909i	0.298879	+	1.33505i
$79$	5.95574			0.670073			0.335037	−	0.942205i	$-0.391251\pi$
$79$	5.95574			0.670073			0.335037	+	0.942205i	$0.391251\pi$
$80$	4.27519	−	7.85638i	0.477981	−	0.878370i
$81$	−5.00328	−	8.66593i	−0.555920	−	0.962881i
$82$	3.87270	+	4.26006i	0.427668	+	0.470444i
$83$	−2.03037	−	2.03037i	−0.222862	−	0.222862i	0.586841	−	0.809703i	$-0.300372\pi$
$83$	−2.03037	−	2.03037i	−0.222862	−	0.222862i	−0.809703	+	0.586841i	$0.800372\pi$
$84$	−2.82288	−	6.18104i	−0.308002	−	0.674407i
$85$	−3.74986	−	7.24845i	−0.406730	−	0.786205i
$86$	−2.26981	+	1.17019i	−0.244760	+	0.126185i
$87$	5.54153	−	1.48485i	0.594115	−	0.159193i
$88$	−1.23428	+	2.88247i	−0.131575	+	0.307272i
$89$	7.16539	+	12.4108i	0.759530	+	1.31555i	0.943090	+	0.332537i	$0.107905\pi$
$89$	7.16539	+	12.4108i	0.759530	+	1.31555i	−0.183560	+	0.983009i	$0.558762\pi$
$90$	0.774350	−	8.23333i	0.0816237	−	0.867869i
$91$	−2.61179	−	4.46138i	−0.273790	−	0.467679i
$92$	−0.997121	+	0.167687i	−0.103957	+	0.0174826i
$93$	−21.9019	−	5.86860i	−2.27112	−	0.608546i
$94$	8.72539	+	5.60739i	0.899956	+	0.578358i
$95$	−4.28461	−	1.36294i	−0.439592	−	0.139835i
$96$	−9.70166	−	9.24992i	−0.990171	−	0.944066i
$97$	−3.84966	+	1.03151i	−0.390873	+	0.104734i	−0.448903	−	0.893581i	$-0.648185\pi$
$97$	−3.84966	+	1.03151i	−0.390873	+	0.104734i	0.0580293	+	0.998315i	$0.481518\pi$
$98$	−4.70338	−	5.17383i	−0.475113	−	0.522636i
$99$			2.89911i			0.291372i
$100$	−6.52704	+	7.57613i	−0.652704	+	0.757613i
$101$	−1.22300	−	2.11829i	−0.121693	−	0.210778i	0.798743	−	0.601673i	$-0.205499\pi$
$101$	−1.22300	−	2.11829i	−0.121693	−	0.210778i	−0.920435	+	0.390895i	$0.872166\pi$
$102$	−11.9512	+	2.59990i	−1.18334	+	0.257428i
$103$	3.43233	−	3.43233i	0.338197	−	0.338197i	−0.517491	−	0.855688i	$-0.673134\pi$
$103$	3.43233	−	3.43233i	0.338197	−	0.338197i	0.855688	+	0.517491i	$0.173134\pi$
$104$	−8.05421	−	6.25538i	−0.789780	−	0.613390i
$105$	1.62543	+	7.42128i	0.158626	+	0.724243i
$106$	8.07753	−	12.5691i	0.784559	−	1.22081i
$107$	1.80721	−	6.74458i	0.174709	−	0.652024i	−0.821892	−	0.569644i	$-0.807081\pi$
$107$	1.80721	−	6.74458i	0.174709	−	0.652024i	0.996601	−	0.0823799i	$-0.0262521\pi$
$108$	1.70914	+	0.637452i	0.164462	+	0.0613388i
$109$	−11.2838			−1.08079			−0.540394	−	0.841412i	$-0.681725\pi$
$109$	−11.2838			−1.08079			−0.540394	+	0.841412i	$0.681725\pi$
$110$	2.02945	−	2.85857i	0.193500	−	0.272554i
$111$	8.96245	−	15.5234i	0.850678	−	1.47342i
$112$	5.15883	+	2.50584i	0.487463	+	0.236780i
$113$	1.79931	−	0.482123i	0.169265	−	0.0453544i	−0.173191	−	0.984888i	$-0.555408\pi$
$113$	1.79931	−	0.482123i	0.169265	−	0.0453544i	0.342456	+	0.939534i	$0.388741\pi$
$114$	−3.64297	+	5.66865i	−0.341195	+	0.530918i
$115$	1.12926	+	0.0521881i	0.105304	+	0.00486656i
$116$	−2.80867	+	3.94433i	−0.260778	+	0.366222i
$117$	−9.12214	−	2.38538i	−0.843342	−	0.220529i
$118$	−3.31965	+	10.3850i	−0.305599	+	0.956017i
$119$	4.53187	−	2.61648i	0.415436	−	0.239852i
$120$	8.41805	+	12.3992i	0.768459	+	1.13189i
$121$	4.88550	−	8.46193i	0.444136	−	0.769266i
$122$	18.4133	+	5.88595i	1.66706	+	0.532889i
$123$	−9.31798	+	2.49675i	−0.840174	+	0.225124i
$124$	17.4082	−	7.95031i	1.56330	−	0.713959i
$125$	8.92173	−	6.73816i	0.797984	−	0.602679i
$126$	5.29664	+	0.252276i	0.471863	+	0.0224746i
$127$	3.07375	−	11.4714i	0.272752	−	1.01792i	−0.684582	−	0.728936i	$-0.740015\pi$
$127$	3.07375	−	11.4714i	0.272752	−	1.01792i	0.957333	−	0.288986i	$-0.0933182\pi$
$128$	11.2849	+	0.806606i	0.997455	+	0.0712946i
$129$		−	4.27892i		−	0.376738i
$130$	7.32475	+	8.73773i	0.642423	+	0.766350i
$131$		−	12.1840i		−	1.06452i	−0.846582	−	0.532258i	$-0.821344\pi$
$131$		−	12.1840i		−	1.06452i	0.846582	−	0.532258i	$-0.178656\pi$
$132$	−3.34519	−	4.05138i	−0.291161	−	0.352627i
$133$	0.746180	−	2.78478i	0.0647020	−	0.241471i
$134$	1.08202	−	22.7175i	0.0934723	−	1.96249i
$135$	−1.71726	−	1.10018i	−0.147798	−	0.0946883i
$136$	6.38104	−	8.11448i	0.547170	−	0.695811i
$137$	9.64479	−	2.58431i	0.824010	−	0.220793i	0.177911	−	0.984047i	$-0.443066\pi$
$137$	9.64479	−	2.58431i	0.824010	−	0.220793i	0.646099	+	0.763254i	$0.276399\pi$
$138$	0.515854	−	1.61377i	0.0439124	−	0.137373i
$139$	−4.20899	+	7.29018i	−0.357002	+	0.618345i	−0.987458	−	0.157880i	$-0.949534\pi$
$139$	−4.20899	+	7.29018i	−0.357002	+	0.618345i	0.630457	+	0.776224i	$0.282868\pi$
$140$	−5.04597	−	3.95652i	−0.426463	−	0.334387i
$141$	−15.0505	+	8.68940i	−1.26748	+	0.731780i
$142$	19.5978	+	6.26459i	1.64461	+	0.525713i
$143$	−2.84340	−	2.80930i	−0.237777	−	0.234925i
$144$	9.88499	−	3.42151i	0.823749	−	0.285126i
$145$	4.00069	−	3.64725i	0.332239	−	0.302887i
$146$	−5.48055	−	3.52209i	−0.453574	−	0.291490i
$147$	11.3167	−	3.03229i	0.933384	−	0.250099i
$148$	2.50902	+	14.9194i	0.206240	+	1.22637i
$149$	−7.75751	+	13.4364i	−0.635520	+	1.10075i	0.350885	+	0.936419i	$0.385881\pi$
$149$	−7.75751	+	13.4364i	−0.635520	+	1.10075i	−0.986405	+	0.164334i	$0.947452\pi$
$150$	−6.27169	−	15.5377i	−0.512081	−	1.26865i
$151$	6.25758			0.509235			0.254617	−	0.967042i	$-0.418050\pi$
$151$	6.25758			0.509235			0.254617	+	0.967042i	$0.418050\pi$
$152$	−0.675293	−	5.64701i	−0.0547735	−	0.458033i
$153$	2.47025	−	9.21911i	0.199708	−	0.745321i
$154$	1.89108	+	1.21531i	0.152388	+	0.0979324i
$155$	−20.9011	+	4.57783i	−1.67882	+	0.367700i
$156$	15.5002	−	7.19227i	1.24101	−	0.575843i
$157$	7.31125	−	7.31125i	0.583501	−	0.583501i	−0.352362	−	0.935864i	$-0.614622\pi$
$157$	7.31125	−	7.31125i	0.583501	−	0.583501i	0.935864	+	0.352362i	$0.114622\pi$
$158$	−1.79042	−	8.23019i	−0.142438	−	0.654759i
$159$	12.5172	+	21.6804i	0.992679	+	1.71937i
$160$	−12.1419	−	3.54606i	−0.959901	−	0.280341i
$161$			0.724876i			0.0571282i
$162$	−10.4713	+	9.51916i	−0.822703	+	0.747896i
$163$	11.3181	−	3.03268i	0.886504	−	0.237538i	0.213293	−	0.976988i	$-0.431581\pi$
$163$	11.3181	−	3.03268i	0.886504	−	0.237538i	0.673211	+	0.739450i	$0.264915\pi$
$164$	4.72272	−	6.63231i	0.368783	−	0.517897i
$165$	2.69907	+	5.21728i	0.210122	+	0.406165i
$166$	−2.19538	+	3.41612i	−0.170394	+	0.265143i
$167$	−23.5986	−	6.32322i	−1.82611	−	0.489305i	−0.828602	−	0.559838i	$-0.810863\pi$
$167$	−23.5986	−	6.32322i	−1.82611	−	0.489305i	−0.997509	+	0.0705327i	$0.977530\pi$
$168$	−7.69292	+	5.75908i	−0.593522	+	0.444322i
$169$	11.1791	−	6.63537i	0.859930	−	0.510413i
$170$	−8.88930	+	7.36095i	−0.681778	+	0.564559i
$171$	−2.62915	−	4.55382i	−0.201056	−	0.348239i
$172$	2.29943	+	2.78485i	0.175330	+	0.212343i
$173$	6.66792	−	1.78666i	0.506953	−	0.135838i	0.00372771	−	0.999993i	$-0.498813\pi$
$173$	6.66792	−	1.78666i	0.506953	−	0.135838i	0.503225	+	0.864156i	$0.332147\pi$
$174$	−3.71781	−	7.21142i	−0.281846	−	0.546697i
$175$	4.58011	+	5.51520i	0.346224	+	0.416910i
$176$	4.35431	+	0.839109i	0.328218	+	0.0632502i
$177$	−12.9176	−	12.9176i	−0.970947	−	0.970947i
$178$	14.9964	−	13.6328i	1.12402	−	1.02182i
$179$	7.32463	+	12.6866i	0.547468	+	0.948243i	0.998447	+	0.0557083i	$0.0177417\pi$
$179$	7.32463	+	12.6866i	0.547468	+	0.948243i	−0.450979	+	0.892535i	$0.648925\pi$
$180$	−11.6104	+	1.40505i	−0.865385	+	0.104726i
$181$	−17.0880			−1.27014			−0.635069	−	0.772455i	$-0.719028\pi$
$181$	−17.0880			−1.27014			−0.635069	+	0.772455i	$0.719028\pi$
$182$	−5.37998	+	4.95040i	−0.398791	+	0.366948i
$183$	−22.9037	+	22.9037i	−1.69309	+	1.69309i
$184$	0.531482	+	1.32750i	0.0391814	+	0.0978649i
$185$	0.780864	−	16.8966i	0.0574103	−	1.24226i
$186$	−1.52559	+	32.0303i	−0.111861	+	2.34858i
$187$	2.86101	−	2.86101i	0.209218	−	0.209218i
$188$	5.12577	−	13.7433i	0.373835	−	1.00233i
$189$	0.653867	−	1.13253i	0.0475618	−	0.0823795i
$190$	−0.595397	+	6.33060i	−0.0431947	+	0.459270i
$191$	15.6824	+	9.05422i	1.13474	+	0.655141i	0.945122	−	0.326718i	$-0.105943\pi$
$191$	15.6824	+	9.05422i	1.13474	+	0.655141i	0.189615	+	0.981859i	$0.439276\pi$
$192$	−9.86587	+	16.1874i	−0.712008	+	1.16822i
$193$	−6.57011	−	1.76046i	−0.472927	−	0.126720i	0.0144804	−	0.999895i	$-0.495391\pi$
$193$	−6.57011	−	1.76046i	−0.472927	−	0.126720i	−0.487407	+	0.873175i	$0.662057\pi$
$194$	2.58273	+	5.00972i	0.185429	+	0.359677i
$195$	−18.6371	+	4.19994i	−1.33463	+	0.300764i
$196$	−5.73574	+	8.05493i	−0.409695	+	0.575352i
$197$	−3.64954	+	13.6203i	−0.260019	+	0.970404i	0.705210	+	0.708999i	$0.250853\pi$
$197$	−3.64954	+	13.6203i	−0.260019	+	0.970404i	−0.965229	+	0.261406i	$0.915814\pi$
$198$	4.00626	−	0.871536i	0.284713	−	0.0619373i
$199$	1.81375	−	3.14151i	0.128573	−	0.222696i	−0.794551	−	0.607198i	$-0.792294\pi$
$199$	1.81375	−	3.14151i	0.128573	−	0.222696i	0.923124	+	0.384502i	$0.125627\pi$
$200$	12.4316	+	6.74212i	0.879044	+	0.476740i
$201$	33.0024	+	19.0540i	2.32781	+	1.34396i
$202$	−2.55959	+	2.32685i	−0.180092	+	0.163717i
$203$	2.45461	+	2.45461i	0.172280	+	0.172280i
$204$	7.18555	+	15.7336i	0.503089	+	1.10157i
$205$	−6.72708	+	6.13278i	−0.469840	+	0.428332i
$206$	−5.77494	−	3.71127i	−0.402359	−	0.258577i
$207$	0.934860	+	0.934860i	0.0649773	+	0.0649773i
$208$	−6.22299	+	13.0105i	−0.431487	+	0.902119i
$209$		−	2.22913i		−	0.154192i
$210$	9.76678	−	4.47717i	0.673972	−	0.308954i
$211$	−13.9062	+	8.02872i	−0.957339	+	0.552720i	−0.895353	−	0.445357i	$-0.853077\pi$
$211$	−13.9062	+	8.02872i	−0.957339	+	0.552720i	−0.0619859	+	0.998077i	$0.519743\pi$
$212$	−19.7974	−	7.38375i	−1.35969	−	0.507118i
$213$	−24.3771	+	24.3771i	−1.67029	+	1.67029i
$214$	−9.86357	−	0.469797i	−0.674260	−	0.0321146i
$215$	−1.85530	−	3.58627i	−0.126530	−	0.244582i
$216$	0.367085	−	2.55348i	0.0249770	−	0.173742i
$217$	−3.55096	−	13.2524i	−0.241055	−	0.899629i
$218$	3.39214	+	15.5929i	0.229745	+	1.05609i
$219$	9.45344	−	5.45794i	0.638804	−	0.368814i
$220$	−4.56033	−	1.94513i	−0.307457	−	0.131141i
$221$	6.64822	+	11.3563i	0.447208	+	0.763906i
$222$	−24.1460	−	7.71847i	−1.62057	−	0.518030i
$223$	6.66547	−	24.8759i	0.446353	−	1.66581i	−0.265986	−	0.963977i	$-0.585697\pi$
$223$	6.66547	−	24.8759i	0.446353	−	1.66581i	0.712339	−	0.701836i	$-0.247636\pi$
$224$	1.91195	−	7.88225i	0.127747	−	0.526655i
$225$	13.0198	+	1.20597i	0.867984	+	0.0803981i
$226$	−1.20715	−	2.34152i	−0.0802987	−	0.155755i
$227$	0.581713	+	2.17098i	0.0386096	+	0.144093i	0.982540	−	0.186052i	$-0.0595691\pi$
$227$	0.581713	+	2.17098i	0.0386096	+	0.144093i	−0.943930	+	0.330145i	$0.892902\pi$
$228$	8.92862	+	3.33007i	0.591312	+	0.220539i
$229$	−7.98324			−0.527547			−0.263774	−	0.964585i	$-0.584967\pi$
$229$	−7.98324			−0.527547			−0.263774	+	0.964585i	$0.584967\pi$
$230$	−0.267363	−	1.57621i	−0.0176294	−	0.103932i
$231$	−3.26194	+	1.88328i	−0.214620	+	0.123911i
$232$	6.29498	+	2.69553i	0.413286	+	0.176970i
$233$	6.92625	+	6.92625i	0.453754	+	0.453754i	0.896598	−	0.442845i	$-0.146031\pi$
$233$	6.92625	+	6.92625i	0.453754	+	0.453754i	−0.442845	+	0.896598i	$0.646031\pi$
$234$	−0.554026	+	13.3229i	−0.0362178	+	0.870946i
$235$	−8.84657	+	13.8086i	−0.577087	+	0.900771i
$236$	15.3489	+	1.46545i	0.999130	+	0.0953924i
$237$	13.6320	+	3.65267i	0.885491	+	0.237266i
$238$	−4.97807	−	5.47599i	−0.322680	−	0.354956i
$239$		−	16.2120i		−	1.04867i	−0.851512	−	0.524335i	$-0.824314\pi$
$239$		−	16.2120i		−	1.04867i	0.851512	−	0.524335i	$-0.175686\pi$
$240$	14.6037	−	15.3603i	0.942667	−	0.991503i
$241$	12.3442	+	7.12690i	0.795157	+	0.459084i	0.841775	−	0.539829i	$-0.181511\pi$
$241$	12.3442	+	7.12690i	0.795157	+	0.459084i	−0.0466178	+	0.998913i	$0.514844\pi$
$242$	−13.1622	−	4.20739i	−0.846096	−	0.270461i
$243$	−5.42886	−	20.2608i	−0.348262	−	1.29973i
$244$	2.59833	−	27.2146i	0.166341	−	1.74224i
$245$	8.17003	−	7.44825i	0.521964	−	0.475851i
$246$	6.25142	+	12.1259i	0.398576	+	0.773118i
$247$	7.01401	+	1.83412i	0.446291	+	0.116702i
$248$	−16.2197	−	21.6662i	−1.02995	−	1.37580i
$249$	−3.40203	−	5.89250i	−0.215595	−	0.373422i
$250$	−11.9935	−	10.3032i	−0.758534	−	0.651634i
$251$	9.92333	+	5.72924i	0.626355	+	0.361626i	0.779339	−	0.626602i	$-0.215555\pi$
$251$	9.92333	+	5.72924i	0.626355	+	0.361626i	−0.152984	+	0.988229i	$0.548888\pi$
$252$	−1.24367	−	7.39523i	−0.0783436	−	0.465856i
$253$	0.145060	+	0.541371i	0.00911984	+	0.0340357i
$254$	−16.7763	−	0.799045i	−1.05264	−	0.0501366i
$255$	−4.13748	−	18.8906i	−0.259099	−	1.18298i
$256$	−2.27785	−	15.8370i	−0.142365	−	0.989814i
$257$	12.4413	+	3.33363i	0.776066	+	0.207946i	0.625049	−	0.780585i	$-0.285079\pi$
$257$	12.4413	+	3.33363i	0.776066	+	0.207946i	0.151016	+	0.988531i	$0.451745\pi$
$258$	−5.91300	+	1.28633i	−0.368128	+	0.0800837i
$259$	10.8460			0.673936
$260$	9.87263	−	12.7488i	0.612274	−	0.790645i
$261$	6.33133			0.391900
$262$	−16.8369	+	3.66276i	−1.04019	+	0.226286i
$263$	22.8505	+	6.12277i	1.40902	+	0.377546i	0.881575	−	0.472043i	$-0.156483\pi$
$263$	22.8505	+	6.12277i	1.40902	+	0.377546i	0.527445	+	0.849589i	$0.323150\pi$
$264$	−4.59294	+	5.84062i	−0.282676	+	0.359466i
$265$	19.8914	+	12.7436i	1.22192	+	0.782834i
$266$	−4.07259	−	0.193975i	−0.249706	−	0.0118934i
$267$	8.78911	+	32.8014i	0.537885	+	2.00741i
$268$	−31.7184	+	5.33412i	−1.93751	+	0.325833i
$269$	6.51124	+	3.75927i	0.396997	+	0.229207i	0.685188	−	0.728367i	$-0.259720\pi$
$269$	6.51124	+	3.75927i	0.396997	+	0.229207i	−0.288190	+	0.957573i	$0.593054\pi$
$270$	−1.00408	+	2.70381i	−0.0611065	+	0.164549i
$271$	11.9255	+	20.6556i	0.724425	+	1.25474i	0.959210	+	0.282693i	$0.0912278\pi$
$271$	11.9255	+	20.6556i	0.724425	+	1.25474i	−0.234786	+	0.972047i	$0.575439\pi$
$272$	−13.1316	−	6.37853i	−0.796221	−	0.386755i
$273$	−3.24189	−	11.8134i	−0.196208	−	0.714977i
$274$	−6.47068	−	12.5512i	−0.390908	−	0.758244i
$275$	4.52432	+	3.20245i	0.272827	+	0.193115i
$276$	−2.38513	−	0.227722i	−0.143568	−	0.0137072i
$277$	−2.36422	−	8.82339i	−0.142052	−	0.530146i	−0.999869	−	0.0161904i	$-0.994846\pi$
$277$	−2.36422	−	8.82339i	−0.142052	−	0.530146i	0.857817	−	0.513956i	$-0.171820\pi$
$278$	11.3396	+	3.62478i	0.680101	+	0.217400i
$279$	−21.6710	−	12.5117i	−1.29741	−	0.749058i
$280$	−3.95056	+	8.16241i	−0.236091	+	0.487797i
$281$		−	4.94562i		−	0.295031i	−0.989060	−	0.147515i	$-0.952872\pi$
$281$		−	4.94562i		−	0.295031i	0.989060	−	0.147515i	$-0.0471276\pi$
$282$	16.5323	+	18.1859i	0.984485	+	1.08296i
$283$	−22.4439	−	6.01382i	−1.33415	−	0.357485i	−0.479890	−	0.877329i	$-0.659323\pi$
$283$	−22.4439	−	6.01382i	−1.33415	−	0.357485i	−0.854261	+	0.519844i	$0.825990\pi$
$284$	2.76548	−	28.9653i	0.164101	−	1.71877i
$285$	−8.97105	−	5.74738i	−0.531399	−	0.340445i
$286$	−3.02736	+	4.77381i	−0.179012	+	0.282281i
$287$	−4.12738	−	4.12738i	−0.243632	−	0.243632i
$288$	−7.69980	−	12.6314i	−0.453715	−	0.744313i
$289$	3.18670	−	1.83984i	0.187453	−	0.108226i
$290$	−6.24279	−	4.43208i	−0.366589	−	0.260261i
$291$	−9.44402			−0.553618
$292$	−3.21957	+	8.63235i	−0.188411	+	0.505170i
$293$	5.47820	+	20.4449i	0.320040	+	1.19441i	0.919205	+	0.393780i	$0.128833\pi$
$293$	5.47820	+	20.4449i	0.320040	+	1.19441i	−0.599165	+	0.800626i	$0.704501\pi$
$294$	−7.59234	−	14.7269i	−0.442794	−	0.858888i
$295$	−16.4275	−	5.22564i	−0.956448	−	0.304248i
$296$	19.8628	−	7.95230i	1.15450	−	0.462218i
$297$	0.261700	−	0.976676i	0.0151854	−	0.0566725i
$298$	20.8997	+	6.68077i	1.21069	+	0.387007i
$299$	−1.82279	+	0.0109970i	−0.105415	+	0.000635974i
$300$	−19.5861	+	13.3378i	−1.13080	+	0.770056i
$301$	2.24221	−	1.29454i	0.129239	−	0.0746160i
$302$	−1.88116	−	8.64730i	−0.108249	−	0.497596i
$303$	−1.50013	−	5.59857i	−0.0861804	−	0.321630i
$304$	−7.60056	+	2.63080i	−0.435922	+	0.150887i
$305$	−9.26538	+	29.1270i	−0.530534	+	1.66781i
$306$	−13.4824	−	0.642161i	−0.770739	−	0.0367099i
$307$	4.43575	−	4.43575i	0.253161	−	0.253161i	−0.569104	−	0.822265i	$-0.692710\pi$
$307$	4.43575	−	4.43575i	0.253161	−	0.253161i	0.822265	+	0.569104i	$0.192710\pi$
$308$	1.11093	−	2.97862i	0.0633009	−	0.169723i
$309$	9.96122	−	5.75112i	0.566674	−	0.327170i
$310$	12.6094	+	27.5069i	0.716166	+	1.56229i
$311$			12.9730i			0.735629i	0.929899	+	0.367814i	$0.119894\pi$
$311$			12.9730i			0.735629i	−0.929899	+	0.367814i	$0.880106\pi$
$312$	−14.5986	−	19.2575i	−0.826485	−	1.09024i
$313$	−1.65629	−	1.65629i	−0.0936190	−	0.0936190i	0.658746	−	0.752365i	$-0.271087\pi$
$313$	−1.65629	−	1.65629i	−0.0936190	−	0.0936190i	−0.752365	+	0.658746i	$0.771087\pi$
$314$	−12.3013	−	7.90544i	−0.694201	−	0.446130i
$315$	−0.387057	+	8.37528i	−0.0218082	+	0.471894i
$316$	−10.8350	+	4.94835i	−0.609516	+	0.278366i
$317$	17.1971	+	17.1971i	0.965885	+	0.965885i	0.999437	−	0.0335524i	$-0.0106821\pi$
$317$	17.1971	+	17.1971i	0.965885	+	0.965885i	−0.0335524	+	0.999437i	$0.510682\pi$
$318$	26.1971	−	23.8150i	1.46906	−	1.33548i
$319$	2.32442	+	1.34201i	0.130143	+	0.0751379i
$320$	−1.25016	+	17.8448i	−0.0698860	+	0.997555i
$321$	8.27294	−	14.3292i	0.461751	−	0.799776i
$322$	1.00170	−	0.217913i	0.0558226	−	0.0121438i
$323$	−1.89937	+	7.08856i	−0.105684	+	0.394418i
$324$	16.3024	+	11.6085i	0.905686	+	0.644919i
$325$	−13.7992	+	11.6009i	−0.765442	+	0.643505i
$326$	−7.59331	−	14.7287i	−0.420555	−	0.815750i
$327$	−25.8271	−	6.92036i	−1.42824	−	0.382697i
$328$	−10.5849	−	4.53248i	−0.584453	−	0.250264i
$329$	−9.10672	−	5.25777i	−0.502070	−	0.289870i
$330$	6.39832	−	5.29825i	0.352216	−	0.291659i
$331$	−1.30166	+	2.25455i	−0.0715458	+	0.123921i	−0.899579	−	0.436758i	$-0.856127\pi$
$331$	−1.30166	+	2.25455i	−0.0715458	+	0.123921i	0.828033	+	0.560679i	$0.189460\pi$
$332$	5.38069	+	2.00682i	0.295304	+	0.110138i
$333$	13.9879	−	13.9879i	0.766530	−	0.766530i
$334$	−1.64377	+	34.5116i	−0.0899430	+	1.88839i
$335$	35.9218	+	1.66010i	1.96262	+	0.0907009i
$336$	10.2711	+	8.89948i	0.560333	+	0.485507i
$337$	−11.0461	+	11.0461i	−0.601721	+	0.601721i	−0.940769	−	0.339048i	$-0.889895\pi$
$337$	−11.0461	+	11.0461i	−0.601721	+	0.601721i	0.339048	+	0.940769i	$0.389895\pi$
$338$	−12.5300	−	13.4536i	−0.681544	−	0.731777i
$339$	4.41408			0.239740
$340$	12.8444	+	10.0712i	0.696583	+	0.546187i
$341$	−5.30404	−	9.18687i	−0.287230	−	0.497497i
$342$	−5.50251	+	5.00218i	−0.297542	+	0.270487i
$343$	12.1097	+	12.1097i	0.653861	+	0.653861i
$344$	3.15711	−	4.01475i	0.170220	−	0.216461i
$345$	2.55274	+	0.812033i	0.137435	+	0.0437184i
$346$	−4.47350	−	8.67724i	−0.240497	−	0.466491i
$347$	−23.3867	+	6.26646i	−1.25547	+	0.336401i	−0.824446	−	0.565941i	$-0.808513\pi$
$347$	−23.3867	+	6.26646i	−1.25547	+	0.336401i	−0.431021	+	0.902342i	$0.641846\pi$
$348$	−8.84776	+	7.30552i	−0.474290	+	0.391617i
$349$	−3.55625	−	6.15960i	−0.190362	−	0.329716i	0.755009	−	0.655715i	$-0.227633\pi$
$349$	−3.55625	−	6.15960i	−0.190362	−	0.329716i	−0.945370	+	0.325999i	$0.894299\pi$
$350$	6.24454	−	7.98721i	0.333785	−	0.426934i
$351$	2.85782	+	1.62705i	0.152539	+	0.0868456i
$352$	−0.149441	−	6.26944i	−0.00796523	−	0.334162i
$353$	−0.189350	−	0.0507360i	−0.0100781	−	0.00270041i	0.253776	−	0.967263i	$-0.418327\pi$
$353$	−0.189350	−	0.0507360i	−0.0100781	−	0.00270041i	−0.263855	+	0.964562i	$0.584994\pi$
$354$	−13.9674	+	21.7340i	−0.742360	+	1.15515i
$355$	−9.86142	+	31.0008i	−0.523390	+	1.64535i
$356$	−23.3472	−	16.6250i	−1.23740	−	0.881126i
$357$	11.9776	−	3.20939i	0.633922	−	0.169859i
$358$	15.3296	−	13.9357i	0.810195	−	0.736526i
$359$		−	7.99324i		−	0.421867i	−0.977500	−	0.210934i	$-0.932350\pi$
$359$		−	7.99324i		−	0.421867i	0.977500	−	0.210934i	$-0.0676504\pi$
$360$	5.43195	+	15.6219i	0.286289	+	0.823346i
$361$	−7.47845	−	12.9531i	−0.393603	−	0.681740i
$362$	5.13701	+	23.6137i	0.269995	+	1.24111i
$363$	16.3720	−	16.3720i	0.859308	−	0.859308i
$364$	8.45826	+	5.94636i	0.443333	+	0.311674i
$365$	5.55666	−	8.67337i	0.290849	−	0.453985i
$366$	38.5358	+	24.7651i	2.01430	+	1.29449i
$367$	5.17355	−	19.3080i	0.270057	−	1.00787i	−0.689025	−	0.724738i	$-0.741961\pi$
$367$	5.17355	−	19.3080i	0.270057	−	1.00787i	0.959082	−	0.283129i	$-0.0913725\pi$
$368$	1.67469	−	1.13353i	0.0872994	−	0.0590892i
$369$	−10.6460			−0.554210
$370$	−23.5841	+	4.00042i	−1.22608	+	0.207972i
$371$	−7.57389	+	13.1184i	−0.393217	+	0.681071i
$372$	44.7211	−	7.52081i	2.31868	−	0.389936i
$373$	−22.8633	+	6.12620i	−1.18382	+	0.317203i	−0.796439	−	0.604719i	$-0.793286\pi$
$373$	−22.8633	+	6.12620i	−1.18382	+	0.317203i	−0.387377	+	0.921921i	$0.626619\pi$
$374$	−4.81369	−	3.09353i	−0.248910	−	0.159962i
$375$	24.5533	−	9.95109i	1.26793	−	0.513872i
$376$	−20.5326	−	2.95174i	−1.05889	−	0.152225i
$377$	−6.13519	+	6.20967i	−0.315978	+	0.319814i
$378$	−1.76160	−	0.563111i	−0.0906071	−	0.0289633i
$379$	−31.3551	+	18.1029i	−1.61060	+	0.929881i	−0.621370	+	0.783517i	$0.713424\pi$
$379$	−31.3551	+	18.1029i	−1.61060	+	0.929881i	−0.989231	+	0.146364i	$0.953243\pi$
$380$	8.92720	−	1.08034i	0.457956	−	0.0554203i
$381$	14.0709	−	24.3715i	0.720873	−	1.24859i
$382$	7.79750	−	24.3932i	0.398955	−	1.24807i
$383$	5.78337	−	1.54965i	0.295517	−	0.0791834i	−0.108015	−	0.994149i	$-0.534449\pi$
$383$	5.78337	−	1.54965i	0.295517	−	0.0791834i	0.403531	+	0.914966i	$0.367783\pi$
$384$	25.3351	+	8.76729i	1.29288	+	0.447404i
$385$	−1.91735	+	2.99278i	−0.0977171	+	0.152526i
$386$	−0.457644	+	9.60842i	−0.0232935	+	0.489055i
$387$	1.22219	−	4.56128i	0.0621275	−	0.231863i
$388$	6.14646	−	5.07508i	0.312039	−	0.257648i
$389$		−	12.6886i		−	0.643338i	−0.946852	−	0.321669i	$-0.895756\pi$
$389$		−	12.6886i		−	0.643338i	0.946852	−	0.321669i	$-0.104244\pi$
$390$	11.4066	+	24.4919i	0.577595	+	1.24019i
$391$		−	1.84515i		−	0.0933131i
$392$	12.8553	+	5.50468i	0.649293	+	0.278029i
$393$	7.47245	−	27.8876i	0.376935	−	1.40674i
$394$	19.9189	+	0.948726i	1.00350	+	0.0477961i
$395$	13.0091	−	2.84928i	0.654557	−	0.143363i
$396$	−2.40874	−	5.27422i	−0.121044	−	0.265040i
$397$	−9.79755	+	2.62525i	−0.491725	+	0.131757i	−0.496157	−	0.868233i	$-0.665256\pi$
$397$	−9.79755	+	2.62525i	−0.491725	+	0.131757i	0.00443186	+	0.999990i	$0.498589\pi$
$398$	−4.88648	−	1.56200i	−0.244937	−	0.0782961i
$399$	3.41583	−	5.91639i	0.171005	−	0.296190i
$400$	5.57969	−	19.2059i	0.278985	−	0.960296i
$401$	−12.4237	+	7.17281i	−0.620409	+	0.358193i	−0.777028	−	0.629466i	$-0.783274\pi$
$401$	−12.4237	+	7.17281i	−0.620409	+	0.358193i	0.156619	+	0.987659i	$0.449940\pi$
$402$	16.4093	−	51.3339i	0.818421	−	2.56030i
$403$	33.2709	−	9.13040i	1.65734	−	0.454818i
$404$	3.98493	+	2.83758i	0.198258	+	0.141175i
$405$	−15.0745	−	16.5353i	−0.749057	−	0.821646i
$406$	2.65410	−	4.12991i	0.131721	−	0.204964i
$407$	8.10027	−	2.17046i	0.401515	−	0.107586i
$408$	19.5821	−	14.6595i	0.969456	−	0.725755i
$409$	−5.42568	+	9.39756i	−0.268283	+	0.464680i	−0.968418	−	0.249330i	$-0.919790\pi$
$409$	−5.42568	+	9.39756i	−0.268283	+	0.464680i	0.700136	+	0.714010i	$0.253123\pi$
$410$	10.4971	+	7.45246i	0.518417	+	0.368051i
$411$	23.6607			1.16710
$412$	−3.39251	+	9.09603i	−0.167137	+	0.448129i
$413$	2.86091	−	10.6771i	0.140776	−	0.525384i
$414$	1.01084	−	1.57292i	0.0496799	−	0.0773046i
$415$	−5.40626	−	3.46357i	−0.265383	−	0.170020i
$416$	19.8499	+	4.68826i	0.973224	+	0.229861i
$417$	−14.1049	+	14.1049i	−0.690722	+	0.690722i
$418$	−3.08041	+	0.670123i	−0.150668	+	0.0327768i
$419$	−10.1599	−	17.5975i	−0.496344	−	0.859692i	0.503648	−	0.863909i	$-0.331991\pi$
$419$	−10.1599	−	17.5975i	−0.496344	−	0.859692i	−0.999991	+	0.00421699i	$0.998658\pi$
$420$	−9.12307	−	12.1507i	−0.445160	−	0.592893i
$421$		−	21.8914i		−	1.06692i	−0.845825	−	0.533461i	$-0.820891\pi$
$421$		−	21.8914i		−	1.06692i	0.845825	−	0.533461i	$-0.179109\pi$
$422$	15.2753	+	16.8032i	0.743591	+	0.817967i
$423$	−18.5256	+	4.96393i	−0.900747	+	0.241354i
$424$	−4.25203	+	29.5775i	−0.206497	+	1.43641i
$425$	−11.6585	−	14.0388i	−0.565521	−	0.680980i
$426$	41.0148	+	26.3583i	1.98717	+	1.27706i
$427$	−18.9311	−	5.07258i	−0.916141	−	0.245479i
$428$	2.31599	+	13.7716i	0.111948	+	0.665677i
$429$	−4.78525	−	8.17401i	−0.231034	−	0.394645i
$430$	−4.39810	+	3.64193i	−0.212095	+	0.175630i
$431$	−11.0844	−	19.1988i	−0.533918	−	0.924773i	−0.999215	−	0.0396181i	$-0.987386\pi$
$431$	−11.0844	−	19.1988i	−0.533918	−	0.924773i	0.465297	−	0.885155i	$-0.345947\pi$
$432$	−3.63899	+	0.260359i	−0.175081	+	0.0125265i
$433$	18.8092	−	5.03991i	0.903912	−	0.242203i	0.223217	−	0.974769i	$-0.428344\pi$
$433$	18.8092	−	5.03991i	0.903912	−	0.242203i	0.680696	+	0.732566i	$0.261678\pi$
$434$	−17.2459	+	8.89099i	−0.827827	+	0.426781i
$435$	11.3939	−	5.89446i	0.546298	−	0.282618i
$436$	20.5280	−	9.37515i	0.983114	−	0.448988i
$437$	−0.718813	−	0.718813i	−0.0343855	−	0.0343855i
$438$	−10.3842	−	11.4229i	−0.496176	−	0.545805i
$439$	0.979617	+	1.69675i	0.0467546	+	0.0809813i	0.888456	−	0.458963i	$-0.151779\pi$
$439$	0.979617	+	1.69675i	0.0467546	+	0.0809813i	−0.841701	+	0.539944i	$0.818445\pi$
$440$	−1.31702	+	6.88663i	−0.0627867	+	0.328307i
$441$	12.9296			0.615694
$442$	13.6946	−	12.6011i	0.651384	−	0.599372i
$443$	2.48772	−	2.48772i	0.118195	−	0.118195i	−0.645535	−	0.763730i	$-0.723366\pi$
$443$	2.48772	−	2.48772i	0.118195	−	0.118195i	0.763730	+	0.645535i	$0.223366\pi$
$444$	−3.40729	+	35.6875i	−0.161703	+	1.69366i
$445$	21.5888	+	23.6809i	1.02341	+	1.12258i
$446$	−36.3796	−	1.73274i	−1.72262	−	0.0820476i
$447$	−25.9966	+	25.9966i	−1.22960	+	1.22960i
$448$	−11.4672	−	0.272530i	−0.541774	−	0.0128759i
$449$	5.15431	−	8.92752i	0.243247	−	0.421316i	−0.718390	−	0.695640i	$-0.755121\pi$
$449$	5.15431	−	8.92752i	0.243247	−	0.421316i	0.961637	+	0.274324i	$0.0884542\pi$
$450$	−2.24750	−	18.3544i	−0.105948	−	0.865237i
$451$	−3.90848	−	2.25656i	−0.184043	−	0.106257i
$452$	−2.87283	+	2.37207i	−0.135126	+	0.111573i
$453$	14.3228	+	3.83779i	0.672945	+	0.180315i
$454$	2.82519	−	1.45651i	0.132593	−	0.0683573i
$455$	−7.83928	−	8.49544i	−0.367511	−	0.398272i
$456$	1.91767	−	13.3395i	0.0898030	−	0.624678i
$457$	−4.44444	+	16.5869i	−0.207902	+	0.775902i	0.780643	+	0.624977i	$0.214892\pi$
$457$	−4.44444	+	16.5869i	−0.207902	+	0.775902i	−0.988545	+	0.150925i	$0.951775\pi$
$458$	2.39993	+	11.0320i	0.112142	+	0.515491i
$459$	−1.66440	+	2.88282i	−0.0776874	+	0.134558i
$460$	−2.09778	+	0.843310i	−0.0978094	+	0.0393195i
$461$	−2.08401	−	1.20320i	−0.0970621	−	0.0560388i	0.450683	−	0.892684i	$-0.351180\pi$
$461$	−2.08401	−	1.20320i	−0.0970621	−	0.0560388i	−0.547745	+	0.836645i	$0.684514\pi$
$462$	3.58311	+	3.94150i	0.166701	+	0.183375i
$463$	12.0876	+	12.0876i	0.561756	+	0.561756i	0.929806	−	0.368050i	$-0.119974\pi$
$463$	12.0876	+	12.0876i	0.561756	+	0.561756i	−0.368050	+	0.929806i	$0.619974\pi$
$464$	1.83252	−	9.50932i	0.0850726	−	0.441459i
$465$	−50.6477	−	2.34065i	−2.34873	−	0.108545i
$466$	7.48916	−	11.6535i	0.346928	−	0.539839i
$467$	9.48675	+	9.48675i	0.438994	+	0.438994i	0.891673	−	0.452679i	$-0.149532\pi$
$467$	9.48675	+	9.48675i	0.438994	+	0.438994i	−0.452679	+	0.891673i	$0.649532\pi$
$468$	18.5774	−	3.23955i	0.858740	−	0.149748i
$469$			23.0583i			1.06473i
$470$	21.7414	+	8.07386i	1.00286	+	0.372419i
$471$	21.2186	−	12.2505i	0.977700	−	0.564475i
$472$	−2.58913	−	21.6511i	−0.119174	−	0.996573i
$473$	1.41553	−	1.41553i	0.0650859	−	0.0650859i
$474$	0.949539	−	19.9360i	0.0436138	−	0.915689i
$475$	−10.0109	−	0.927270i	−0.459331	−	0.0425461i
$476$	−6.07072	+	8.52536i	−0.278251	+	0.390759i
$477$	7.15061	+	26.6864i	0.327404	+	1.22189i
$478$	−22.4033	+	4.87369i	−1.02470	+	0.222917i
$479$	16.2437	−	9.37829i	0.742192	−	0.428505i	−0.0806735	−	0.996741i	$-0.525707\pi$
$479$	16.2437	−	9.37829i	0.742192	−	0.428505i	0.822866	+	0.568236i	$0.192374\pi$
$480$	−25.6165	−	15.5631i	−1.16923	−	0.710357i
$481$	0.164543	+	27.2736i	0.00750252	+	1.24357i
$482$	6.13769	−	19.2008i	0.279564	−	0.874572i
$483$	−0.444569	+	1.65915i	−0.0202286	+	0.0754940i
$484$	−1.85734	+	19.4535i	−0.0844243	+	0.884251i
$485$	−7.91528	+	4.09483i	−0.359414	+	0.185937i
$486$	−26.3662	+	13.5929i	−1.19600	+	0.616588i
$487$	−6.70051	−	25.0067i	−0.303629	−	1.13316i	−0.934119	−	0.356962i	$-0.883812\pi$
$487$	−6.70051	−	25.0067i	−0.303629	−	1.13316i	0.630490	−	0.776198i	$-0.282854\pi$
$488$	−38.3888	+	4.59068i	−1.73778	+	0.207811i
$489$	27.7657			1.25561
$490$	−12.7488	−	9.05100i	−0.575930	−	0.408883i
$491$	−27.5747	+	15.9203i	−1.24443	+	0.718472i	−0.969993	−	0.243133i	$-0.921825\pi$
$491$	−27.5747	+	15.9203i	−1.24443	+	0.718472i	−0.274437	+	0.961605i	$0.588491\pi$
$492$	14.8773	−	12.2841i	0.670723	−	0.553810i
$493$	−6.24812	−	6.24812i	−0.281401	−	0.281401i
$494$	0.425990	−	10.2440i	0.0191662	−	0.460898i
$495$	1.38696	+	6.33250i	0.0623393	+	0.284625i
$496$	−25.0643	+	28.9273i	−1.12542	+	1.29887i
$497$	−20.1489	−	5.39889i	−0.903804	−	0.242173i
$498$	−7.12007	+	6.47266i	−0.319058	+	0.290047i
$499$		−	35.3591i		−	1.58289i	−0.611241	−	0.791445i	$-0.709329\pi$
$499$		−	35.3591i		−	1.58289i	0.611241	−	0.791445i	$-0.290671\pi$
$500$	−10.6325	+	19.6711i	−0.475498	+	0.879717i
$501$	−50.1362	−	28.9461i	−2.23992	−	1.29322i
$502$	4.93402	−	15.4353i	0.220216	−	0.688912i
$503$	5.61710	+	20.9633i	0.250454	+	0.934708i	0.970563	+	0.240847i	$0.0774251\pi$
$503$	5.61710	+	20.9633i	0.250454	+	0.934708i	−0.720109	+	0.693861i	$0.755908\pi$
$504$	−9.84554	+	3.94178i	−0.438555	+	0.175581i
$505$	−3.68479	−	4.04187i	−0.163971	−	0.179861i
$506$	0.704508	−	0.363205i	0.0313192	−	0.0161464i
$507$	29.6570	−	8.33137i	1.31712	−	0.370009i
$508$	3.93912	+	23.4232i	0.174770	+	1.03924i
$509$	5.64892	+	9.78422i	0.250384	+	0.433678i	0.963632	−	0.267234i	$-0.0861098\pi$
$509$	5.64892	+	9.78422i	0.250384	+	0.433678i	−0.713247	+	0.700912i	$0.752776\pi$
$510$	−24.8610	+	11.3965i	−1.10086	+	0.504644i
$511$	5.72007	+	3.30248i	0.253041	+	0.146093i
$512$	−21.2003	+	7.90869i	−0.936930	+	0.349518i
$513$	0.474660	+	1.77146i	0.0209568	+	0.0782117i
$514$	0.866602	−	18.1947i	0.0382242	−	0.802532i
$515$	5.85514	−	9.13925i	0.258008	−	0.402724i
$516$	3.55515	+	7.78444i	0.156507	+	0.342691i
$517$	−7.85348	−	2.10433i	−0.345396	−	0.0925485i
$518$	−3.26053	−	14.9880i	−0.143260	−	0.658533i
$519$	16.3578			0.718028
$520$	−20.5854	−	9.81036i	−0.902728	−	0.430213i
$521$	−6.77545			−0.296838			−0.148419	−	0.988925i	$-0.547418\pi$
$521$	−6.77545			−0.296838			−0.148419	+	0.988925i	$0.547418\pi$
$522$	−1.90334	−	8.74922i	−0.0833067	−	0.382943i
$523$	−24.9224	−	6.67794i	−1.08978	−	0.292006i	−0.331184	−	0.943566i	$-0.607448\pi$
$523$	−24.9224	−	6.67794i	−1.08978	−	0.292006i	−0.758597	+	0.651560i	$0.774115\pi$
$524$	10.1231	+	22.1657i	0.442229	+	0.968313i
$525$	7.10082	+	15.4326i	0.309905	+	0.673535i
$526$	1.59166	−	33.4175i	0.0693996	−	1.45707i
$527$	9.03885	+	33.7334i	0.393739	+	1.46945i
$528$	9.45185	+	4.59113i	0.411339	+	0.199803i
$529$	−19.6972	−	11.3722i	−0.856402	−	0.494444i
$530$	11.6305	−	31.3188i	0.505197	−	1.36040i
$531$	−10.0804	−	17.4597i	−0.437450	−	0.757686i
$532$	0.956254	+	5.68619i	0.0414589	+	0.246527i
$533$	10.3162	−	10.4414i	0.446845	−	0.452269i
$534$	42.6858	−	22.0064i	1.84720	−	0.952311i
$535$	0.720790	−	15.5967i	0.0311625	−	0.674305i
$536$	16.9064	+	42.2278i	0.730246	+	1.82396i
$537$	8.98443	+	33.5303i	0.387707	+	1.44694i
$538$	3.23748	−	10.1280i	0.139578	−	0.436647i
$539$	4.74684	+	2.74059i	0.204461	+	0.118045i
$540$	4.03822	+	0.574711i	0.173777	+	0.0247316i
$541$		−	10.5760i		−	0.454699i	−0.973813	−	0.227350i	$-0.926994\pi$
$541$		−	10.5760i		−	0.454699i	0.973813	−	0.227350i	$-0.0730061\pi$
$542$	24.9588	−	22.6893i	1.07207	−	0.974590i
$543$	−39.1123	−	10.4801i	−1.67847	−	0.449744i
$544$	−4.86680	+	20.0640i	−0.208662	+	0.860237i
$545$	−24.6470	+	5.39826i	−1.05576	+	0.231236i
$546$	−15.3502	+	8.03130i	−0.656929	+	0.343708i
$547$	12.2587	+	12.2587i	0.524144	+	0.524144i	0.918820	−	0.394676i	$-0.129143\pi$
$547$	12.2587	+	12.2587i	0.524144	+	0.524144i	−0.394676	+	0.918820i	$0.629143\pi$
$548$	−15.3991	+	12.7149i	−0.657819	+	0.543155i
$549$	−30.9571	+	17.8731i	−1.32122	+	0.762806i
$550$	3.06533	−	7.21485i	0.130706	−	0.307642i
$551$	−4.86816			−0.207390
$552$	0.402335	+	3.36445i	0.0171245	+	0.143201i
$553$	2.21015	+	8.24840i	0.0939852	+	0.350757i
$554$	−11.4822	+	5.91960i	−0.487834	+	0.251500i
$555$	12.1500	−	38.1954i	0.515741	−	1.62130i
$556$	1.60014	−	16.7597i	0.0678612	−	0.710771i
$557$	4.11568	−	15.3599i	0.174387	−	0.650821i	−0.822268	−	0.569100i	$-0.807292\pi$
$557$	4.11568	−	15.3599i	0.174387	−	0.650821i	0.996655	−	0.0817212i	$-0.0260417\pi$
$558$	−10.7751	+	33.7082i	−0.456147	+	1.42698i
$559$	3.28930	+	5.61868i	0.139123	+	0.237645i
$560$	12.4672	+	3.00545i	0.526835	+	0.127004i
$561$	8.30317	−	4.79384i	0.350560	−	0.202396i
$562$	−6.83431	+	1.48676i	−0.288288	+	0.0627152i
$563$	4.35268	+	16.2444i	0.183444	+	0.684621i	0.994958	+	0.100289i	$0.0319767\pi$
$563$	4.35268	+	16.2444i	0.183444	+	0.684621i	−0.811515	+	0.584332i	$0.801357\pi$
$564$	20.1610	−	28.3130i	0.848933	−	1.19219i
$565$	3.69956	−	1.91390i	0.155642	−	0.0805186i
$566$	−1.56334	+	32.8229i	−0.0657120	+	1.37965i
$567$	10.1452	−	10.1452i	0.426057	−	0.426057i
$568$	−40.8583	+	4.88600i	−1.71438	+	0.205012i
$569$	10.9095	−	6.29862i	0.457351	−	0.264052i	−0.253579	−	0.967315i	$-0.581608\pi$
$569$	10.9095	−	6.29862i	0.457351	−	0.264052i	0.710930	+	0.703263i	$0.248274\pi$
$570$	−5.24537	+	14.1248i	−0.219704	+	0.591623i
$571$		−	7.70528i		−	0.322456i	−0.986917	−	0.161228i	$-0.948455\pi$
$571$		−	7.70528i		−	0.322456i	0.986917	−	0.161228i	$-0.0515454\pi$
$572$	7.50698	+	2.74838i	0.313883	+	0.114915i
$573$	30.3420	+	30.3420i	1.26756	+	1.26756i
$574$	−4.46282	+	6.94438i	−0.186274	+	0.289853i
$575$	2.49161	−	0.426257i	0.103907	−	0.0177761i
$576$	−15.1405	+	14.4376i	−0.630855	+	0.601565i
$577$	−8.24466	−	8.24466i	−0.343230	−	0.343230i	0.514350	−	0.857580i	$-0.328033\pi$
$577$	−8.24466	−	8.24466i	−0.343230	−	0.343230i	−0.857580	+	0.514350i	$0.828033\pi$
$578$	−3.50046	−	3.85058i	−0.145600	−	0.160163i
$579$	−13.9585	−	8.05893i	−0.580095	−	0.334918i
$580$	−4.24794	+	9.95925i	−0.176386	+	0.413535i
$581$	2.05850	−	3.56542i	0.0854008	−	0.147919i
$582$	2.83908	+	13.0506i	0.117683	+	0.540965i
$583$	−3.03132	+	11.3131i	−0.125545	+	0.468539i
$584$	12.8968	+	1.85403i	0.533675	+	0.0767205i
$585$	−21.0666	−	0.846244i	−0.870997	−	0.0349879i
$586$	26.6058	−	13.7165i	1.09908	−	0.566622i
$587$	−5.02654	−	1.34686i	−0.207467	−	0.0555907i	0.153589	−	0.988135i	$-0.450917\pi$
$587$	−5.02654	−	1.34686i	−0.207467	−	0.0555907i	−0.361056	+	0.932544i	$0.617584\pi$
$588$	−18.0685	+	14.9190i	−0.745133	+	0.615249i
$589$	16.6628	+	9.62026i	0.686578	+	0.396396i
$590$	−2.28280	+	24.2720i	−0.0939814	+	0.999263i
$591$	−16.7067	+	28.9369i	−0.687222	+	1.19030i
$592$	−16.9604	−	25.0576i	−0.697068	−	1.02986i
$593$	−12.4722	+	12.4722i	−0.512171	+	0.512171i	−0.915191	−	0.403020i	$-0.867960\pi$
$593$	−12.4722	+	12.4722i	−0.512171	+	0.512171i	0.403020	+	0.915191i	$0.367960\pi$
$594$	−1.42833	−	0.0680308i	−0.0586053	−	0.00279134i
$595$	8.64718	−	7.88324i	0.354500	−	0.323181i
$596$	2.94920	−	30.8896i	0.120804	−	1.26529i
$597$	6.07815	−	6.07815i	0.248762	−	0.248762i
$598$	0.563168	+	2.51560i	0.0230296	+	0.102871i
$599$	13.0340			0.532553			0.266277	−	0.963897i	$-0.414207\pi$
$599$	13.0340			0.532553			0.266277	+	0.963897i	$0.414207\pi$
$600$	24.3194	+	23.0562i	0.992833	+	0.941266i
$601$	16.0369	+	27.7767i	0.654158	+	1.13304i	0.982104	+	0.188339i	$0.0603104\pi$
$601$	16.0369	+	27.7767i	0.654158	+	1.13304i	−0.327946	+	0.944697i	$0.606356\pi$
$602$	−2.46297	−	2.70932i	−0.100383	−	0.110424i
$603$	29.7379	+	29.7379i	1.21102	+	1.21102i
$604$	−11.3841	+	5.19913i	−0.463213	+	0.211550i
$605$	6.62308	−	20.8206i	0.269266	−	0.846477i
$606$	−7.28565	+	3.75607i	−0.295959	+	0.152580i
$607$	−35.9296	+	9.62730i	−1.45834	+	0.390760i	−0.898915	−	0.438124i	$-0.855643\pi$
$607$	−35.9296	+	9.62730i	−1.45834	+	0.390760i	−0.559421	+	0.828884i	$0.688976\pi$
$608$	5.92037	+	9.71228i	0.240103	+	0.393885i
$609$	4.11288	+	7.12372i	0.166662	+	0.288668i
$610$	43.0358	+	4.04755i	1.74247	+	0.163880i
$611$	13.0832	−	22.9798i	0.529288	−	0.929662i
$612$	3.16571	+	18.8243i	0.127966	+	0.760928i
$613$	26.5888	+	7.12444i	1.07391	+	0.287753i	0.752099	−	0.659050i	$-0.229042\pi$
$613$	26.5888	+	7.12444i	1.07391	+	0.287753i	0.321812	+	0.946804i	$0.395708\pi$
$614$	−7.46320	−	4.79624i	−0.301190	−	0.193561i
$615$	−19.1587	+	9.91143i	−0.772554	+	0.399667i
$616$	−4.45011	−	0.639741i	−0.179300	−	0.0257759i
$617$	23.4559	−	6.28498i	0.944297	−	0.253024i	0.246357	−	0.969179i	$-0.420767\pi$
$617$	23.4559	−	6.28498i	0.944297	−	0.253024i	0.697941	+	0.716156i	$0.254100\pi$
$618$	−10.9420	−	12.0364i	−0.440151	−	0.484176i
$619$			11.4105i			0.458626i	0.973353	+	0.229313i	$0.0736480\pi$
$619$			11.4105i			0.458626i	−0.973353	+	0.229313i	$0.926352\pi$
$620$	34.2210	−	25.6940i	1.37435	−	1.03190i
$621$	−0.230554	−	0.399332i	−0.00925183	−	0.0160246i
$622$	17.9272	−	3.89995i	0.718817	−	0.156374i
$623$	−14.5293	+	14.5293i	−0.582105	+	0.582105i
$624$	−22.2231	+	25.9630i	−0.889635	+	1.03935i
$625$	16.2641	−	18.9863i	0.650562	−	0.759453i
$626$	−1.79090	+	2.78673i	−0.0715786	+	0.111380i
$627$	1.36713	−	5.10219i	0.0545979	−	0.203762i
$628$	−7.22644	+	19.3756i	−0.288366	+	0.773170i
$629$	−27.6080			−1.10080
$630$	11.6901	−	1.98292i	0.465745	−	0.0790014i
$631$	8.87771	−	15.3767i	0.353416	−	0.612135i	−0.633429	−	0.773800i	$-0.718353\pi$
$631$	8.87771	−	15.3767i	0.353416	−	0.612135i	0.986846	+	0.161666i	$0.0516866\pi$
$632$	10.0953	+	13.4852i	0.401570	+	0.536413i
$633$	−36.7535	+	9.84807i	−1.46082	+	0.391426i
$634$	18.5947	−	28.9343i	0.738490	−	1.14913i
$635$	1.22594	−	26.5274i	0.0486500	−	1.05271i
$636$	−40.7852	−	29.0423i	−1.61724	−	1.15160i
$637$	−12.5290	+	12.6811i	−0.496418	+	0.502444i
$638$	1.15574	−	3.61554i	0.0457561	−	0.143141i
$639$	−32.9486	+	19.0229i	−1.30343	+	0.752534i
$640$	25.0354	−	3.63695i	0.989612	−	0.143763i
$641$	12.5379	−	21.7162i	0.495215	−	0.857738i	−0.504769	−	0.863254i	$-0.668422\pi$
$641$	12.5379	−	21.7162i	0.495215	−	0.857738i	0.999985	+	0.00551599i	$0.00175580\pi$
$642$	−22.2884	−	7.12466i	−0.879652	−	0.281188i
$643$	8.13673	−	2.18023i	0.320881	−	0.0859798i	−0.0947832	−	0.995498i	$-0.530216\pi$
$643$	8.13673	−	2.18023i	0.320881	−	0.0859798i	0.415664	+	0.909518i	$0.363549\pi$
$644$	−0.602266	−	1.31873i	−0.0237326	−	0.0519654i
$645$	−2.04707	−	9.34640i	−0.0806035	−	0.368014i
$646$	10.3666	+	0.493757i	0.407869	+	0.0194266i
$647$	−8.31840	+	31.0447i	−0.327030	+	1.22049i	0.585225	+	0.810871i	$0.301006\pi$
$647$	−8.31840	+	31.0447i	−0.327030	+	1.22049i	−0.912255	+	0.409622i	$0.865661\pi$
$648$	11.1409	−	26.0179i	0.437656	−	1.02208i
$649$		−	8.54664i		−	0.335485i
$650$	20.1796	+	15.5815i	0.791509	+	0.611157i
$651$		−	32.5109i		−	1.27420i
$652$	−18.0708	+	14.9209i	−0.707708	+	0.584348i
$653$	−4.22481	+	15.7672i	−0.165330	+	0.617018i	0.832668	+	0.553772i	$0.186812\pi$
$653$	−4.22481	+	15.7672i	−0.165330	+	0.617018i	−0.997998	+	0.0632463i	$0.979855\pi$
$654$	−1.79900	+	37.7707i	−0.0703465	+	1.47695i
$655$	−5.82892	−	26.6133i	−0.227755	−	1.03987i
$656$	−3.08135	+	15.9897i	−0.120306	+	0.624295i
$657$	11.6362	−	3.11792i	0.453972	−	0.121642i
$658$	−4.52799	+	14.1651i	−0.176520	+	0.552213i
$659$	−6.57494	+	11.3881i	−0.256123	+	0.443618i	−0.965200	−	0.261513i	$-0.915779\pi$
$659$	−6.57494	+	11.3881i	−0.256123	+	0.443618i	0.709077	+	0.705131i	$0.249112\pi$
$660$	−9.24508	−	7.24902i	−0.359864	−	0.282168i
$661$	−5.84374	+	3.37389i	−0.227295	+	0.131229i	−0.609324	−	0.792922i	$-0.708559\pi$
$661$	−5.84374	+	3.37389i	−0.227295	+	0.131229i	0.382028	+	0.924151i	$0.375226\pi$
$662$	3.50685	+	1.12099i	0.136297	+	0.0435686i
$663$	8.25213	+	30.0705i	0.320486	+	1.16784i
$664$	1.15565	−	8.03883i	0.0448480	−	0.311967i
$665$	0.297608	−	6.43975i	0.0115407	−	0.249723i
$666$	−23.5348	−	15.1247i	−0.911953	−	0.586069i
$667$	1.18229	−	0.316794i	0.0457786	−	0.0122663i
$668$	48.1854	−	8.10341i	1.86435	−	0.313530i
$669$	30.5129	−	52.8499i	1.17970	−	2.04329i
$670$	−8.50480	−	50.1392i	−0.328569	−	1.93705i
$671$	−15.1537			−0.585003
$672$	9.21042	−	16.8689i	0.355300	−	0.650732i
$673$	6.70882	−	25.0376i	0.258606	−	0.965130i	−0.707443	−	0.706771i	$-0.750151\pi$
$673$	6.70882	−	25.0376i	0.258606	−	0.965130i	0.966049	−	0.258360i	$-0.0831820\pi$
$674$	18.5853	+	11.9439i	0.715878	+	0.460060i
$675$	−4.27734	−	1.58156i	−0.164635	−	0.0608741i
$676$	−14.8246	+	21.3596i	−0.570176	+	0.821523i
$677$	10.0845	−	10.0845i	0.387578	−	0.387578i	−0.486245	−	0.873823i	$-0.661634\pi$
$677$	10.0845	−	10.0845i	0.387578	−	0.387578i	0.873823	+	0.486245i	$0.161634\pi$
$678$	−1.32697	−	6.09979i	−0.0509619	−	0.234261i
$679$	−2.85718	−	4.94879i	−0.109649	−	0.189917i
$680$	10.0560	−	20.7771i	0.385630	−	0.796767i
$681$			5.32587i			0.204088i
$682$	−11.1008	+	10.0914i	−0.425070	+	0.386419i
$683$	−42.5285	+	11.3955i	−1.62731	+	0.436036i	−0.953137	−	0.302538i	$-0.902166\pi$
$683$	−42.5285	+	11.3955i	−1.62731	+	0.436036i	−0.674172	+	0.738574i	$0.735499\pi$
$684$	8.56664	+	6.10011i	0.327554	+	0.233244i
$685$	19.8307	−	10.2591i	0.757691	−	0.391978i
$686$	13.0938	−	20.3747i	0.499925	−	0.777909i
$687$	−18.2727	−	4.89614i	−0.697145	−	0.186800i
$688$	−6.49705	−	3.15587i	−0.247698	−	0.120316i
$689$	−33.1027	−	18.8465i	−1.26111	−	0.717994i
$690$	0.354734	−	3.77173i	0.0135045	−	0.143587i
$691$	4.17701	+	7.23479i	0.158901	+	0.275224i	0.934473	−	0.356035i	$-0.115872\pi$
$691$	4.17701	+	7.23479i	0.158901	+	0.275224i	−0.775572	+	0.631259i	$0.782538\pi$
$692$	−10.6462	+	8.79046i	−0.404707	+	0.334163i
$693$	−4.01512	+	1.07585i	−0.152522	+	0.0408681i
$694$	15.6901	+	30.4341i	0.595589	+	1.15526i
$695$	−5.70596	+	17.9375i	−0.216439	+	0.680408i
$696$	12.7553	+	10.0305i	0.483487	+	0.380203i
$697$	10.5061	+	10.5061i	0.397947	+	0.397947i
$698$	−7.44282	+	6.76606i	−0.281715	+	0.256099i
$699$	11.6054	+	20.1012i	0.438958	+	0.760298i
$700$	−12.9147	−	6.22815i	−0.488130	−	0.235402i
$701$	4.25424			0.160680			0.0803401	−	0.996768i	$-0.474399\pi$
$701$	4.25424			0.160680			0.0803401	+	0.996768i	$0.474399\pi$
$702$	1.38929	−	4.43832i	0.0524354	−	0.167514i
$703$	−10.7552	+	10.7552i	−0.405642	+	0.405642i
$704$	−8.61877	+	2.09124i	−0.324832	+	0.0788166i
$705$	−28.7175	+	26.1805i	−1.08157	+	0.986014i
$706$	−0.0131892	+	0.276913i	−0.000496383	+	0.0104218i
$707$	2.47988	−	2.47988i	0.0932653	−	0.0932653i
$708$	34.2330	+	12.7678i	1.28656	+	0.479842i
$709$	−23.8572	+	41.3218i	−0.895974	+	1.55187i	−0.0633800	+	0.997989i	$0.520188\pi$
$709$	−23.8572	+	41.3218i	−0.895974	+	1.55187i	−0.832594	+	0.553883i	$0.813145\pi$
$710$	45.8043	+	4.30793i	1.71900	+	0.161674i
$711$	13.4882	+	7.78742i	0.505847	+	0.292051i
$712$	−15.9553	+	37.2612i	−0.597952	+	1.39642i
$713$	−4.67280	−	1.25207i	−0.174998	−	0.0468905i
$714$	−8.03575	−	15.5869i	−0.300730	−	0.583326i
$715$	−7.55481	−	4.77601i	−0.282534	−	0.178613i
$716$	−23.8661	−	16.9945i	−0.891917	−	0.635114i
$717$	9.94289	−	37.1074i	0.371324	−	1.38580i
$718$	−11.0458	+	2.40294i	−0.412226	+	0.0896769i
$719$	7.51198	−	13.0111i	0.280149	−	0.485233i	−0.691272	−	0.722595i	$-0.742949\pi$
$719$	7.51198	−	13.0111i	0.280149	−	0.485233i	0.971421	+	0.237362i	$0.0762827\pi$
$720$	19.9548	−	12.2026i	0.743672	−	0.454766i
$721$	6.02732	+	3.47987i	0.224469	+	0.129597i
$722$	−15.6515	+	14.2284i	−0.582490	+	0.529526i
$723$	23.8833	+	23.8833i	0.888230	+	0.888230i
$724$	31.0873	−	14.1976i	1.15535	−	0.527649i
$725$	6.99379	−	9.88061i	0.259743	−	0.366957i
$726$	−27.5462	−	17.7026i	−1.02233	−	0.657005i
$727$	18.6875	+	18.6875i	0.693082	+	0.693082i	0.962909	−	0.269827i	$-0.0869665\pi$
$727$	18.6875	+	18.6875i	0.693082	+	0.693082i	−0.269827	+	0.962909i	$0.586967\pi$
$728$	5.67450	−	13.4760i	0.210311	−	0.499454i
$729$		−	19.6843i		−	0.729049i
$730$	−13.6561	−	5.07131i	−0.505435	−	0.187698i
$731$	−5.70746	+	3.29521i	−0.211098	+	0.121878i
$732$	22.6380	−	60.6973i	0.836726	−	2.24344i
$733$	31.6117	−	31.6117i	1.16761	−	1.16761i	0.184836	−	0.982769i	$-0.440824\pi$
$733$	31.6117	−	31.6117i	1.16761	−	1.16761i	0.982769	−	0.184836i	$-0.0591755\pi$
$734$	−28.2368	−	1.34490i	−1.04224	−	0.0496413i
$735$	23.2682	−	12.0374i	0.858261	−	0.444007i
$736$	−2.06986	−	1.97348i	−0.0762961	−	0.0727435i
$737$	4.61435	+	17.2210i	0.169972	+	0.634343i
$738$	3.20042	+	14.7117i	0.117809	+	0.541544i
$739$	−8.84260	+	5.10528i	−0.325280	+	0.187801i	−0.653744	−	0.756716i	$-0.726803\pi$
$739$	−8.84260	+	5.10528i	−0.325280	+	0.187801i	0.328464	+	0.944517i	$0.393469\pi$
$740$	12.6180	+	31.3880i	0.463848	+	1.15385i
$741$	14.9293	+	8.49978i	0.548443	+	0.312247i
$742$	20.4050	+	6.52264i	0.749092	+	0.239454i
$743$	11.4940	−	42.8962i	0.421674	−	1.57371i	−0.349408	−	0.936971i	$-0.613617\pi$
$743$	11.4940	−	42.8962i	0.421674	−	1.57371i	0.771081	−	0.636737i	$-0.219716\pi$
$744$	−23.8371	−	59.5388i	−0.873909	−	2.18280i
$745$	−10.5166	+	33.0603i	−0.385297	+	1.21123i
$746$	15.3389	+	29.7529i	0.561599	+	1.08933i
$747$	−1.94345	−	7.25307i	−0.0711072	−	0.265376i
$748$	−2.82782	+	7.58198i	−0.103395	+	0.277225i
$749$	10.0116			0.365814
$750$	−21.1326	−	30.9385i	−0.771653	−	1.12971i
$751$	2.05696	−	1.18758i	0.0750594	−	0.0433356i	−0.462001	−	0.886880i	$-0.652868\pi$
$751$	2.05696	−	1.18758i	0.0750594	−	0.0433356i	0.537060	+	0.843544i	$0.319535\pi$
$752$	2.09356	+	29.2612i	0.0763441	+	1.06705i
$753$	19.1995	+	19.1995i	0.699670	+	0.699670i
$754$	10.4255	+	6.61141i	0.379673	+	0.240773i
$755$	13.6684	−	2.99369i	0.497443	−	0.108951i
$756$	−0.248583	+	2.60363i	−0.00904087	+	0.0946931i
$757$	−23.3032	−	6.24407i	−0.846969	−	0.226945i	−0.190866	−	0.981616i	$-0.561130\pi$
$757$	−23.3032	−	6.24407i	−0.846969	−	0.226945i	−0.656103	+	0.754672i	$0.727796\pi$
$758$	34.4422	+	37.8872i	1.25100	+	1.37613i
$759$			1.32810i			0.0482069i
$760$	−4.17662	−	12.0117i	−0.151502	−	0.435708i
$761$	5.24149	+	3.02617i	0.190004	+	0.109699i	0.591984	−	0.805950i	$-0.298345\pi$
$761$	5.24149	+	3.02617i	0.190004	+	0.109699i	−0.401981	+	0.915648i	$0.631678\pi$
$762$	−37.9088	−	12.1179i	−1.37329	−	0.438984i
$763$	−4.18736	−	15.6274i	−0.151593	−	0.565751i
$764$	−36.0529	−	3.44217i	−1.30435	−	0.124533i
$765$	0.985241	−	21.3190i	0.0356215	−	0.770790i
$766$	−3.88006	−	7.52614i	−0.140192	−	0.271931i
$767$	26.8923	+	7.03215i	0.971023	+	0.253916i
$768$	4.49918	−	37.6460i	0.162350	−	1.35843i
$769$	11.0619	+	19.1597i	0.398901	+	0.690918i	0.993591	−	0.113038i	$-0.0360582\pi$
$769$	11.0619	+	19.1597i	0.398901	+	0.690918i	−0.594689	+	0.803956i	$0.702725\pi$
$770$	4.71209	+	1.74988i	0.169812	+	0.0630611i
$771$	26.4320	+	15.2605i	0.951926	+	0.549595i
$772$	13.4154	−	2.25608i	0.482830	−	0.0811982i
$773$	−0.0666160	−	0.248614i	−0.00239601	−	0.00894203i	0.964717	−	0.263287i	$-0.0848067\pi$
$773$	−0.0666160	−	0.248614i	−0.00239601	−	0.00894203i	−0.967113	+	0.254345i	$0.918140\pi$
$774$	−6.67062	−	0.317718i	−0.239770	−	0.0114201i
$775$	−43.4641	+	19.9986i	−1.56128	+	0.718371i
$776$	−8.86098	−	6.96807i	−0.318091	−	0.250139i
$777$	24.8251	+	6.65186i	0.890595	+	0.238634i
$778$	−17.5343	+	3.81447i	−0.628634	+	0.136755i
$779$	8.18572			0.293284
$780$	30.4161	−	23.1255i	1.08907	−	0.828024i
$781$	−16.1286			−0.577125
$782$	−2.54980	+	0.554691i	−0.0911805	+	0.0198357i
$783$	−2.13295	−	0.571522i	−0.0762254	−	0.0204245i
$784$	3.74229	−	19.4195i	0.133653	−	0.693554i
$785$	12.4721	−	19.4677i	0.445149	−	0.694831i
$786$	−40.7840	−	1.94252i	−1.45472	−	0.0692874i
$787$	−12.4997	−	46.6496i	−0.445567	−	1.66288i	−0.714434	−	0.699703i	$-0.753316\pi$
$787$	−12.4997	−	46.6496i	−0.445567	−	1.66288i	0.268867	−	0.963177i	$-0.413351\pi$
$788$	−4.67701	−	27.8110i	−0.166612	−	0.990725i
$789$	48.5468	+	28.0285i	1.72831	+	0.997842i
$790$	−7.84821	−	17.1206i	−0.279227	−	0.609123i
$791$	1.33543	+	2.31304i	0.0474825	+	0.0822421i
$792$	−6.56429	+	4.91416i	−0.233252	+	0.174617i
$793$	12.4684	−	47.6817i	0.442767	−	1.69323i
$794$	6.57316	+	12.7500i	0.233273	+	0.452479i
$795$	37.7134	+	41.3680i	1.33755	+	1.46717i
$796$	−0.689539	+	7.22216i	−0.0244401	+	0.255983i
$797$	6.82797	+	25.4823i	0.241859	+	0.902631i	0.974936	+	0.222485i	$0.0714169\pi$
$797$	6.82797	+	25.4823i	0.241859	+	0.902631i	−0.733077	+	0.680146i	$0.761916\pi$
$798$	−9.20268	−	2.94171i	−0.325771	−	0.104135i
$799$	23.1808	+	13.3835i	0.820079	+	0.473473i
$800$	−28.2179	−	1.93683i	−0.997653	−	0.0684772i
$801$			37.4764i			1.32416i
$802$	13.6469	+	15.0119i	0.481888	+	0.530088i
$803$	4.93289	+	1.32176i	0.174078	+	0.0466440i
$804$	−75.8709	−	7.24381i	−2.67576	−	0.255469i
$805$	0.346788	+	1.58334i	0.0122227	+	0.0558054i
$806$	−22.6192	−	43.2320i	−0.796727	−	1.52278i
$807$	12.5979	+	12.5979i	0.443466	+	0.443466i
$808$	2.72327	−	6.35978i	0.0958044	−	0.223736i
$809$	29.4943	−	17.0285i	1.03696	−	0.598691i	0.117992	−	0.993015i	$-0.462354\pi$
$809$	29.4943	−	17.0285i	1.03696	−	0.598691i	0.918972	+	0.394324i	$0.129021\pi$
$810$	−18.3183	+	25.8022i	−0.643639	+	0.906596i
$811$	50.0775			1.75846			0.879229	−	0.476399i	$-0.158058\pi$
$811$	50.0775			1.75846			0.879229	+	0.476399i	$0.158058\pi$
$812$	−6.50498	−	2.42614i	−0.228280	−	0.0851407i
$813$	14.6279	+	54.5922i	0.513024	+	1.91463i
$814$	−5.43446	−	10.5412i	−0.190478	−	0.369469i
$815$	23.2712	−	12.0390i	0.815155	−	0.421706i
$816$	−26.1447	−	22.6533i	−0.915247	−	0.793025i
$817$	−0.939742	+	3.50717i	−0.0328774	+	0.122700i
$818$	14.6175	+	4.67260i	0.511089	+	0.163374i
$819$	−0.0815603	−	13.5189i	−0.00284995	−	0.472389i
$820$	7.14283	−	16.7463i	0.249439	−	0.584806i
$821$	−2.49101	+	1.43819i	−0.0869369	+	0.0501930i	−0.542838	−	0.839837i	$-0.682650\pi$
$821$	−2.49101	+	1.43819i	−0.0869369	+	0.0501930i	0.455901	+	0.890030i	$0.349317\pi$
$822$	−7.11292	−	32.6966i	−0.248092	−	1.14042i
$823$	−2.15995	−	8.06103i	−0.0752910	−	0.280990i	0.918008	−	0.396561i	$-0.129797\pi$
$823$	−2.15995	−	8.06103i	−0.0752910	−	0.280990i	−0.993299	+	0.115572i	$0.963130\pi$
$824$	13.5896	+	1.95362i	0.473416	+	0.0680577i
$825$	8.39155	+	10.1048i	0.292156	+	0.351804i
$826$	−15.6146	−	0.743716i	−0.543302	−	0.0258772i
$827$	−23.4542	+	23.4542i	−0.815581	+	0.815581i	−0.985464	−	0.169883i	$-0.945661\pi$
$827$	−23.4542	+	23.4542i	−0.815581	+	0.815581i	0.169883	+	0.985464i	$0.445661\pi$
$828$	−2.47748	−	0.924016i	−0.0860984	−	0.0321118i
$829$	−34.1067	+	19.6915i	−1.18457	+	0.683914i	−0.957068	−	0.289863i	$-0.906390\pi$
$829$	−34.1067	+	19.6915i	−1.18457	+	0.683914i	−0.227506	+	0.973777i	$0.573057\pi$
$830$	−3.16104	+	8.51210i	−0.109721	+	0.295459i
$831$		−	21.6456i		−	0.750879i
$832$	0.511345	−	28.8399i	0.0177277	−	0.999843i
$833$	−12.7596	−	12.7596i	−0.442096	−	0.442096i
$834$	23.7318	+	15.2513i	0.821763	+	0.528108i
$835$	−54.5712	−	2.52197i	−1.88851	−	0.0872762i
$836$	1.85208	+	4.05534i	0.0640554	+	0.140257i
$837$	6.17127	+	6.17127i	0.213310	+	0.213310i
$838$	−21.2635	+	19.3301i	−0.734536	+	0.667746i
$839$	−3.36750	−	1.94423i	−0.116259	−	0.0671222i	0.440743	−	0.897633i	$-0.354715\pi$
$839$	−3.36750	−	1.94423i	−0.116259	−	0.0671222i	−0.557002	+	0.830511i	$0.688048\pi$
$840$	−14.0484	+	16.2599i	−0.484715	+	0.561018i
$841$	−11.5692	+	20.0385i	−0.398938	+	0.690981i
$842$	−30.2516	+	6.58103i	−1.04254	+	0.226797i
$843$	3.03316	−	11.3199i	0.104468	−	0.389879i
$844$	18.6281	−	26.1602i	0.641206	−	0.900473i
$845$	21.2439	−	19.8417i	0.730814	−	0.682577i
$846$	12.4288	+	24.1082i	0.427312	+	0.828856i
$847$	13.5323	+	3.62598i	0.464976	+	0.124590i
$848$	42.1512	−	3.01580i	1.44748	−	0.103563i
$849$	−47.6830	−	27.5298i	−1.63648	−	0.944820i
$850$	−15.8953	+	20.3312i	−0.545203	+	0.697353i
$851$	1.91215	−	3.31194i	0.0655477	−	0.113532i
$852$	24.0943	−	64.6019i	0.825458	−	2.21323i
$853$	21.6846	−	21.6846i	0.742468	−	0.742468i	−0.230585	−	0.973052i	$-0.574064\pi$
$853$	21.6846	−	21.6846i	0.742468	−	0.742468i	0.973052	+	0.230585i	$0.0740638\pi$
$854$	−1.31865	+	27.6857i	−0.0451234	+	0.947385i
$855$	−7.92141	−	8.68905i	−0.270907	−	0.297159i
$856$	18.3347	−	7.34050i	0.626666	−	0.250893i
$857$	6.15404	−	6.15404i	0.210218	−	0.210218i	−0.594142	−	0.804360i	$-0.702508\pi$
$857$	6.15404	−	6.15404i	0.210218	−	0.210218i	0.804360	+	0.594142i	$0.202508\pi$
$858$	−9.85705	+	9.06998i	−0.336514	+	0.309644i
$859$	32.9737			1.12505			0.562523	−	0.826781i	$-0.309831\pi$
$859$	32.9737			1.12505			0.562523	+	0.826781i	$0.309831\pi$
$860$	6.35492	+	4.98286i	0.216701	+	0.169914i
$861$	−6.91573	−	11.9784i	−0.235688	−	0.408223i
$862$	−23.1984	+	21.0890i	−0.790142	+	0.718296i
$863$	−15.4581	−	15.4581i	−0.526201	−	0.526201i	0.393236	−	0.919437i	$-0.371355\pi$
$863$	−15.4581	−	15.4581i	−0.526201	−	0.526201i	−0.919437	+	0.393236i	$0.871355\pi$
$864$	1.45375	+	4.95042i	0.0494575	+	0.168417i
$865$	13.7099	−	7.09259i	0.466151	−	0.241155i
$866$	−12.6191	−	24.4772i	−0.428813	−	0.831769i
$867$	8.42235	−	2.25676i	0.286038	−	0.0766437i
$868$	17.4709	+	21.1591i	0.593000	+	0.718186i
$869$	3.30128	+	5.71799i	0.111988	+	0.193970i
$870$	−11.5708	−	13.9732i	−0.392286	−	0.473736i
$871$	−57.9830	+	0.349815i	−1.96468	+	0.0118530i
$872$	−19.1266	−	25.5491i	−0.647709	−	0.865203i
$873$	−10.0672	−	2.69750i	−0.340724	−	0.0912967i
$874$	−0.777232	+	1.20941i	−0.0262903	+	0.0409090i
$875$	12.6428	+	9.85564i	0.427405	+	0.333181i
$876$	−12.6634	+	17.7838i	−0.427858	+	0.600859i
$877$	−13.2773	+	3.55765i	−0.448343	+	0.120133i	−0.475924	−	0.879486i	$-0.657886\pi$
$877$	−13.2773	+	3.55765i	−0.448343	+	0.120133i	0.0275808	+	0.999620i	$0.491220\pi$
$878$	2.05023	−	1.86380i	0.0691918	−	0.0629003i
$879$			50.1557i			1.69171i
$880$	9.91251	−	0.250285i	0.334151	−	0.00843711i
$881$	8.42212	+	14.5875i	0.283749	+	0.491467i	0.972305	−	0.233716i	$-0.0750886\pi$
$881$	8.42212	+	14.5875i	0.283749	+	0.491467i	−0.688556	+	0.725183i	$0.741755\pi$
$882$	−3.88691	−	17.8673i	−0.130879	−	0.601623i
$883$	−25.0031	+	25.0031i	−0.841422	+	0.841422i	−0.989044	−	0.147622i	$-0.952838\pi$
$883$	−25.0031	+	25.0031i	−0.841422	+	0.841422i	0.147622	+	0.989044i	$0.452838\pi$
$884$	−21.5302	−	15.1363i	−0.724139	−	0.509087i
$885$	−34.3957	−	22.0359i	−1.15620	−	0.740728i
$886$	−4.18563	−	2.68990i	−0.140619	−	0.0903690i
$887$	12.0520	−	44.9785i	0.404665	−	1.51023i	−0.400008	−	0.916512i	$-0.630993\pi$
$887$	12.0520	−	44.9785i	0.404665	−	1.51023i	0.804673	−	0.593719i	$-0.202341\pi$
$888$	50.3406	−	6.01994i	1.68932	−	0.202016i
$889$	17.0280			0.571100
$890$	26.2344	−	36.9523i	0.879378	−	1.23864i
$891$	5.54667	−	9.60711i	0.185820	−	0.321850i
$892$	8.54203	+	50.7936i	0.286008	+	1.70069i
$893$	14.2443	−	3.81676i	0.476669	−	0.127723i
$894$	43.7396	+	28.1093i	1.46287	+	0.940117i
$895$	22.0685	+	24.2071i	0.737669	+	0.809154i
$896$	3.07068	+	15.9284i	0.102584	+	0.532129i
$897$	−4.17890	−	1.09275i	−0.139529	−	0.0364860i
$898$	−13.8864	−	4.43889i	−0.463394	−	0.148128i
$899$	−20.0631	+	11.5834i	−0.669141	+	0.386329i
$900$	−24.6882	+	8.62354i	−0.822941	+	0.287451i
$901$	19.2791	−	33.3923i	0.642279	−	1.11246i
$902$	−1.94335	+	6.07946i	−0.0647065	+	0.202424i
$903$	5.92608	−	1.58789i	0.197208	−	0.0528416i
$904$	4.14157	+	3.25684i	0.137747	+	0.108321i
$905$	−37.3251	+	8.17504i	−1.24073	+	0.271748i
$906$	0.997663	−	20.9463i	0.0331451	−	0.695895i
$907$	10.3855	−	38.7593i	0.344846	−	1.28698i	−0.547946	−	0.836514i	$-0.684590\pi$
$907$	10.3855	−	38.7593i	0.344846	−	1.28698i	0.892792	−	0.450469i	$-0.148743\pi$
$908$	−2.86205	−	3.46625i	−0.0949804	−	0.115031i
$909$		−	6.39650i		−	0.212159i
$910$	−9.38313	+	13.3869i	−0.311048	+	0.443773i
$911$		−	19.1405i		−	0.634153i	−0.948400	−	0.317076i	$-0.897299\pi$
$911$		−	19.1405i		−	0.634153i	0.948400	−	0.317076i	$-0.102701\pi$
$912$	−19.0102	+	1.36013i	−0.629491	+	0.0450383i
$913$	0.823879	−	3.07476i	0.0272664	−	0.101760i
$914$	24.2574	+	1.15537i	0.802363	+	0.0382161i
$915$	−39.0710	+	60.9857i	−1.29165	+	2.01613i
$916$	14.5235	−	6.63290i	0.479871	−	0.219157i
$917$	16.8741	−	4.52141i	0.557234	−	0.149310i
$918$	4.48410	+	1.43338i	0.147997	+	0.0473086i
$919$	10.9273	−	18.9266i	0.360457	−	0.624330i	−0.627579	−	0.778553i	$-0.715954\pi$
$919$	10.9273	−	18.9266i	0.360457	−	0.624330i	0.988036	+	0.154223i	$0.0492874\pi$
$920$	1.79600	+	2.64539i	0.0592124	+	0.0872158i
$921$	12.8733	−	7.43242i	0.424191	−	0.244907i
$922$	−1.03620	+	3.24159i	−0.0341254	+	0.106756i
$923$	13.2705	−	50.7490i	0.436805	−	1.67042i
$924$	4.36957	−	6.13637i	0.143748	−	0.201872i
$925$	−6.37787	−	37.2807i	−0.209703	−	1.22578i
$926$	13.0699	−	20.3375i	0.429504	−	0.668331i
$927$	12.2613	−	3.28539i	0.402713	−	0.107907i
$928$	−13.6918	+	0.326362i	−0.449454	+	0.0107134i
$929$	−17.6672	+	30.6005i	−0.579643	+	1.00397i	0.415877	+	0.909421i	$0.363475\pi$
$929$	−17.6672	+	30.6005i	−0.579643	+	1.00397i	−0.995520	+	0.0945505i	$0.969859\pi$
$930$	11.9913	+	70.6934i	0.393210	+	2.31813i
$931$	−9.94154			−0.325821
$932$	−18.3553	−	6.84591i	−0.601248	−	0.224245i
$933$	−7.95635	+	29.6935i	−0.260479	+	0.972122i
$934$	10.2577	−	15.9616i	0.335644	−	0.522279i
$935$	4.88054	−	7.61801i	0.159611	−	0.249136i
$936$	−10.0615	−	24.6981i	−0.328870	−	0.807282i
$937$	12.8170	−	12.8170i	0.418713	−	0.418713i	−0.466047	−	0.884760i	$-0.654322\pi$
$937$	12.8170	−	12.8170i	0.418713	−	0.418713i	0.884760	+	0.466047i	$0.154322\pi$
$938$	31.8641	−	6.93181i	1.04040	−	0.226332i
$939$	−2.77523	−	4.80685i	−0.0905663	−	0.156865i
$940$	4.62127	−	32.4715i	0.150729	−	1.05910i
$941$			27.5851i			0.899248i	0.893218	+	0.449624i	$0.148442\pi$
$941$			27.5851i			0.899248i	−0.893218	+	0.449624i	$0.851558\pi$
$942$	−23.3077	−	25.6390i	−0.759405	−	0.835363i
$943$	−1.98800	+	0.532684i	−0.0647383	+	0.0173466i
$944$	−29.1411	+	10.0867i	−0.948464	+	0.328294i
$945$	0.886422	−	2.78659i	0.0288353	−	0.0906479i
$946$	−2.38164	−	1.53057i	−0.0774338	−	0.0497630i
$947$	3.88307	+	1.04047i	0.126183	+	0.0338106i	0.321358	−	0.946958i	$-0.395861\pi$
$947$	3.88307	+	1.04047i	0.126183	+	0.0338106i	−0.195175	+	0.980768i	$0.562527\pi$
$948$	−27.8348	+	4.68102i	−0.904033	+	0.152032i
$949$	−8.21774	+	14.4339i	−0.266759	+	0.468546i
$950$	1.72810	+	14.1127i	0.0560669	+	0.457877i
$951$	28.8150	+	49.9090i	0.934390	+	1.61841i
$952$	13.6061	+	5.82617i	0.440977	+	0.188827i
$953$	−41.2150	+	11.0435i	−1.33508	+	0.357735i	−0.854609	−	0.519273i	$-0.826203\pi$
$953$	−41.2150	+	11.0435i	−1.33508	+	0.357735i	−0.480476	+	0.877008i	$0.659536\pi$
$954$	34.7282	−	17.9039i	1.12437	−	0.579660i
$955$	38.5865	+	12.2745i	1.24863	+	0.397192i
$956$	13.4698	+	29.4938i	0.435646	+	0.953898i
$957$	4.49726	+	4.49726i	0.145376	+	0.145376i
$958$	−17.8430	−	19.6277i	−0.576481	−	0.634142i
$959$	7.15829	+	12.3985i	0.231153	+	0.400369i
$960$	−13.8057	+	40.0778i	−0.445578	+	1.29351i
$961$	60.5629			1.95364
$962$	37.6397	−	8.42640i	1.21355	−	0.271678i
$963$	12.9117	−	12.9117i	0.416074	−	0.416074i
$964$	−28.3786	−	2.70946i	−0.914012	−	0.0872658i
$965$	−15.1932	−	0.702144i	−0.489088	−	0.0226028i
$966$	2.42642	+	0.115569i	0.0780687	+	0.00371837i
$967$	−5.94828	+	5.94828i	−0.191284	+	0.191284i	−0.796251	−	0.604967i	$-0.793186\pi$
$967$	−5.94828	+	5.94828i	−0.191284	+	0.191284i	0.604967	+	0.796251i	$0.293186\pi$
$968$	27.4410	−	3.28151i	0.881988	−	0.105472i
$969$	−8.69487	+	15.0600i	−0.279319	+	0.483795i
$970$	8.03812	+	9.70707i	0.258089	+	0.311675i
$971$	21.1104	+	12.1881i	0.677466	+	0.391135i	0.798900	−	0.601465i	$-0.205416\pi$
$971$	21.1104	+	12.1881i	0.677466	+	0.391135i	−0.121434	+	0.992600i	$0.538749\pi$
$972$	26.7102	+	32.3489i	0.856731	+	1.03759i
$973$	−11.6585	−	3.12388i	−0.373753	−	0.100147i
$974$	−32.5422	+	16.7769i	−1.04272	+	0.537568i
$975$	−38.6996	+	18.0901i	−1.23938	+	0.579345i
$976$	17.8843	+	51.6691i	0.572463	+	1.65389i
$977$	−11.5490	+	43.1014i	−0.369485	+	1.37894i	0.491753	+	0.870735i	$0.336356\pi$
$977$	−11.5490	+	43.1014i	−0.369485	+	1.37894i	−0.861238	+	0.508202i	$0.830310\pi$
$978$	−8.34698	−	38.3693i	−0.266907	−	1.22691i
$979$	−7.94360	+	13.7587i	−0.253879	+	0.439731i
$980$	−8.67496	+	20.3383i	−0.277111	+	0.649685i
$981$	−25.5548	−	14.7541i	−0.815902	−	0.471061i
$982$	30.2897	+	33.3193i	0.966582	+	1.06326i
$983$	−9.09077	−	9.09077i	−0.289951	−	0.289951i	0.547110	−	0.837061i	$-0.315728\pi$
$983$	−9.09077	−	9.09077i	−0.289951	−	0.289951i	−0.837061	+	0.547110i	$0.815728\pi$
$984$	−21.4477	−	16.8660i	−0.683729	−	0.537669i
$985$	−1.45559	+	31.4966i	−0.0463790	+	1.00357i
$986$	−6.75591	+	10.5126i	−0.215152	+	0.334788i
$987$	−17.6196	−	17.6196i	−0.560837	−	0.560837i
$988$	−14.2841	+	2.49089i	−0.454439	+	0.0792457i
$989$		−	0.912913i		−	0.0290289i
$990$	8.33389	−	3.82032i	0.264868	−	0.121418i
$991$	−7.67360	+	4.43036i	−0.243760	+	0.140735i	−0.616904	−	0.787039i	$-0.711613\pi$
$991$	−7.67360	+	4.43036i	−0.243760	+	0.140735i	0.373144	+	0.927774i	$0.378280\pi$
$992$	47.5092	+	25.9400i	1.50842	+	0.823597i
$993$	−4.36206	+	4.36206i	−0.138426	+	0.138426i
$994$	−1.40348	+	29.4667i	−0.0445158	+	0.934627i
$995$	2.45883	−	7.72968i	0.0779502	−	0.245047i
$996$	11.0850	+	7.89335i	0.351240	+	0.250110i
$997$	−7.60586	−	28.3855i	−0.240880	−	0.898976i	−0.975410	−	0.220400i	$-0.929264\pi$
$997$	−7.60586	−	28.3855i	−0.240880	−	0.898976i	0.734530	−	0.678577i	$-0.237403\pi$
$998$	−48.8624	+	10.6297i	−1.54671	+	0.336477i
$999$	−5.97501	+	3.44967i	−0.189041	+	0.109143i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bg.c.23.16	✓	144
4.3	odd	2	inner	260.2.bg.c.23.26	yes	144
5.2	odd	4	inner	260.2.bg.c.127.34	yes	144
13.4	even	6	inner	260.2.bg.c.43.28	yes	144
20.7	even	4	inner	260.2.bg.c.127.28	yes	144
52.43	odd	6	inner	260.2.bg.c.43.34	yes	144
65.17	odd	12	inner	260.2.bg.c.147.26	yes	144
260.147	even	12	inner	260.2.bg.c.147.16	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bg.c.23.16	✓	144	1.1	even	1	trivial
260.2.bg.c.23.26	yes	144	4.3	odd	2	inner
260.2.bg.c.43.28	yes	144	13.4	even	6	inner
260.2.bg.c.43.34	yes	144	52.43	odd	6	inner
260.2.bg.c.127.28	yes	144	20.7	even	4	inner
260.2.bg.c.127.34	yes	144	5.2	odd	4	inner
260.2.bg.c.147.16	yes	144	260.147	even	12	inner
260.2.bg.c.147.26	yes	144	65.17	odd	12	inner

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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.300622 - 1.38189i) q^{2} +(2.28888 + 0.613303i) q^{3} +(-1.81925 + 0.830853i) q^{4} +(2.18429 - 0.478409i) q^{5} +(0.159433 - 3.34735i) q^{6} +(0.371096 + 1.38495i) q^{7} +(1.69506 + 2.26424i) q^{8} +(2.26474 + 1.30755i) q^{9} +O(q^{10})\)	\(q+(-0.300622 - 1.38189i) q^{2} +(2.28888 + 0.613303i) q^{3} +(-1.81925 + 0.830853i) q^{4} +(2.18429 - 0.478409i) q^{5} +(0.159433 - 3.34735i) q^{6} +(0.371096 + 1.38495i) q^{7} +(1.69506 + 2.26424i) q^{8} +(2.26474 + 1.30755i) q^{9} +(-1.31776 - 2.87463i) q^{10} +(0.554303 + 0.960081i) q^{11} +(-4.67361 + 0.785968i) q^{12} +(-3.47700 + 0.954179i) q^{13} +(1.80229 - 0.929160i) q^{14} +(5.29298 + 0.244611i) q^{15} +(2.61937 - 3.02307i) q^{16} +(-0.944612 - 3.52534i) q^{17} +(1.12606 - 3.52271i) q^{18} +(-1.74136 - 1.00537i) q^{19} +(-3.57629 + 2.68517i) q^{20} +3.39757i q^{21} +(1.16009 - 1.05461i) q^{22} +(0.488335 + 0.130849i) q^{23} +(2.49111 + 6.22215i) q^{24} +(4.54225 - 2.08997i) q^{25} +(2.36383 + 4.51800i) q^{26} +(-0.644933 - 0.644933i) q^{27} +(-1.82581 - 2.21125i) q^{28} +(2.09671 - 1.21054i) q^{29} +(-1.25316 - 7.38787i) q^{30} -9.56885 q^{31} +(-4.96499 - 2.71088i) q^{32} +(0.679911 + 2.53746i) q^{33} +(-4.58767 + 2.36515i) q^{34} +(1.47315 + 2.84759i) q^{35} +(-5.20652 - 0.497095i) q^{36} +(1.95783 - 7.30671i) q^{37} +(-0.865828 + 2.70861i) q^{38} +(-8.54363 + 0.0515442i) q^{39} +(4.78573 + 4.13483i) q^{40} +(-3.52558 + 2.03549i) q^{41} +(4.69508 - 1.02138i) q^{42} +(-0.467360 - 1.74421i) q^{43} +(-1.80610 - 1.28609i) q^{44} +(5.57239 + 1.77259i) q^{45} +(0.0340152 - 0.714162i) q^{46} +(-5.18593 + 5.18593i) q^{47} +(7.84946 - 5.31296i) q^{48} +(4.28181 - 2.47210i) q^{49} +(-4.25361 - 5.64861i) q^{50} -8.64840i q^{51} +(5.53276 - 4.62477i) q^{52} +(7.47040 + 7.47040i) q^{53} +(-0.697347 + 1.08511i) q^{54} +(1.67007 + 1.83191i) q^{55} +(-2.50683 + 3.18782i) q^{56} +(-3.36915 - 3.36915i) q^{57} +(-2.30314 - 2.53351i) q^{58} +(-6.67650 - 3.85468i) q^{59} +(-9.83251 + 3.95268i) q^{60} +(-6.83459 + 11.8379i) q^{61} +(2.87660 + 13.2231i) q^{62} +(-0.970452 + 3.62178i) q^{63} +(-2.25357 + 7.67603i) q^{64} +(-7.13829 + 3.74763i) q^{65} +(3.30210 - 1.70238i) q^{66} +(15.5339 + 4.16230i) q^{67} +(4.64753 + 5.62865i) q^{68} +(1.03749 + 0.598994i) q^{69} +(3.49221 - 2.89179i) q^{70} +(-7.27425 + 12.5994i) q^{71} +(0.878260 + 7.34429i) q^{72} +(3.25736 - 3.25736i) q^{73} +(-10.6857 - 0.508952i) q^{74} +(11.6784 - 1.99791i) q^{75} +(4.00329 + 0.382216i) q^{76} +(-1.12396 + 1.12396i) q^{77} +(2.63963 + 11.7909i) q^{78} +5.95574 q^{79} +(4.27519 - 7.85638i) q^{80} +(-5.00328 - 8.66593i) q^{81} +(3.87270 + 4.26006i) q^{82} +(-2.03037 - 2.03037i) q^{83} +(-2.82288 - 6.18104i) q^{84} +(-3.74986 - 7.24845i) q^{85} +(-2.26981 + 1.17019i) q^{86} +(5.54153 - 1.48485i) q^{87} +(-1.23428 + 2.88247i) q^{88} +(7.16539 + 12.4108i) q^{89} +(0.774350 - 8.23333i) q^{90} +(-2.61179 - 4.46138i) q^{91} +(-0.997121 + 0.167687i) q^{92} +(-21.9019 - 5.86860i) q^{93} +(8.72539 + 5.60739i) q^{94} +(-4.28461 - 1.36294i) q^{95} +(-9.70166 - 9.24992i) q^{96} +(-3.84966 + 1.03151i) q^{97} +(-4.70338 - 5.17383i) q^{98} +2.89911i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) \) 144 * q - 6 * q^2 - 12 * q^6	\( 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Introduction

L-functions

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