LMFDB - Embedded newform 360.2.bf.b.61.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(61,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))

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

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

chi := DirichletCharacter("360.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bf (of order $6$, degree $2$, 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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$92$
Relative dimension:	$46$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			61.7
Character	$\chi$	$=$	360.61
Dual form			360.2.bf.b.301.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.24962 - 0.662158i) q^{2} +(-0.443022 + 1.67443i) q^{3} +(1.12309 + 1.65489i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.66235 - 1.79905i) q^{6} +(2.04026 - 3.53383i) q^{7} +(-0.307637 - 2.81165i) q^{8} +(-2.60746 - 1.48362i) q^{9} +O(q^{10})$	\(q+(-1.24962 - 0.662158i) q^{2} +(-0.443022 + 1.67443i) q^{3} +(1.12309 + 1.65489i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.66235 - 1.79905i) q^{6} +(2.04026 - 3.53383i) q^{7} +(-0.307637 - 2.81165i) q^{8} +(-2.60746 - 1.48362i) q^{9} +(1.41328 - 0.0513631i) q^{10} +(0.320151 + 0.184839i) q^{11} +(-3.26856 + 1.14739i) q^{12} +(4.62646 - 2.67109i) q^{13} +(-4.88949 + 3.06496i) q^{14} +(-0.453549 - 1.67161i) q^{15} +(-1.47733 + 3.71719i) q^{16} +2.60955 q^{17} +(2.27594 + 3.58052i) q^{18} +1.88128i q^{19} +(-1.80007 - 0.871631i) q^{20} +(5.01328 + 4.98184i) q^{21} +(-0.277674 - 0.442970i) q^{22} +(4.41270 + 7.64303i) q^{23} +(4.84421 + 0.730503i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-7.55000 + 0.274391i) q^{26} +(3.63939 - 3.70875i) q^{27} +(8.13949 - 0.592413i) q^{28} +(-1.10689 - 0.639061i) q^{29} +(-0.540110 + 2.38920i) q^{30} +(2.07172 + 3.58832i) q^{31} +(4.30746 - 3.66684i) q^{32} +(-0.451336 + 0.454185i) q^{33} +(-3.26095 - 1.72794i) q^{34} +4.08051i q^{35} +(-0.473191 - 5.98131i) q^{36} -3.04014i q^{37} +(1.24570 - 2.35088i) q^{38} +(2.42294 + 8.93006i) q^{39} +(1.67224 + 2.28114i) q^{40} +(-3.81584 - 6.60924i) q^{41} +(-2.96593 - 9.54498i) q^{42} +(3.80708 + 2.19802i) q^{43} +(0.0536703 + 0.737407i) q^{44} +(2.99994 - 0.0188780i) q^{45} +(-0.453300 - 12.4728i) q^{46} +(0.882270 - 1.52814i) q^{47} +(-5.56970 - 4.12048i) q^{48} +(-4.82528 - 8.35764i) q^{49} +(-1.19826 + 0.751122i) q^{50} +(-1.15609 + 4.36953i) q^{51} +(9.61631 + 4.65641i) q^{52} -10.0632i q^{53} +(-7.00363 + 2.22467i) q^{54} -0.369679 q^{55} +(-10.5635 - 4.64934i) q^{56} +(-3.15008 - 0.833446i) q^{57} +(0.960025 + 1.53152i) q^{58} +(1.95366 - 1.12795i) q^{59} +(2.25696 - 2.62795i) q^{60} +(12.1003 + 6.98612i) q^{61} +(-0.212820 - 5.85583i) q^{62} +(-10.5628 + 6.18736i) q^{63} +(-7.81072 + 1.72993i) q^{64} +(-2.67109 + 4.62646i) q^{65} +(0.864739 - 0.268702i) q^{66} +(-1.47978 + 0.854350i) q^{67} +(2.93077 + 4.31853i) q^{68} +(-14.7527 + 4.00276i) q^{69} +(2.70194 - 5.09908i) q^{70} +8.59323 q^{71} +(-3.36927 + 7.78768i) q^{72} -11.9331 q^{73} +(-2.01305 + 3.79901i) q^{74} +(1.22859 + 1.22089i) q^{75} +(-3.11331 + 2.11285i) q^{76} +(1.30638 - 0.754239i) q^{77} +(2.88536 - 12.7635i) q^{78} +(-5.04431 + 8.73700i) q^{79} +(-0.579192 - 3.95784i) q^{80} +(4.59773 + 7.73698i) q^{81} +(0.391987 + 10.7857i) q^{82} +(-1.36095 - 0.785746i) q^{83} +(-2.61401 + 13.8915i) q^{84} +(-2.25994 + 1.30478i) q^{85} +(-3.30196 - 5.26758i) q^{86} +(1.56044 - 1.57029i) q^{87} +(0.421213 - 0.957016i) q^{88} +12.9012 q^{89} +(-3.76128 - 1.96285i) q^{90} -21.7988i q^{91} +(-7.69250 + 15.8864i) q^{92} +(-6.92622 + 1.87925i) q^{93} +(-2.11437 + 1.32538i) q^{94} +(-0.940639 - 1.62923i) q^{95} +(4.23159 + 8.83706i) q^{96} +(0.0450082 - 0.0779566i) q^{97} +(0.495683 + 13.6390i) q^{98} +(-0.560551 - 0.956946i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.24962	−	0.662158i	−0.883614	−	0.468217i
$2$	−1.24962	−	0.662158i	−0.883614	−	0.468217i
$3$	−0.443022	+	1.67443i	−0.255779	+	0.966735i
$3$	−0.443022	+	1.67443i	−0.255779	+	0.966735i
$4$	1.12309	+	1.65489i	0.561546	+	0.827445i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$6$	1.66235	−	1.79905i	0.678651	−	0.734461i
$7$	2.04026	−	3.53383i	0.771144	−	1.33566i	−0.165792	−	0.986161i	$-0.553018\pi$
$7$	2.04026	−	3.53383i	0.771144	−	1.33566i	0.936936	−	0.349500i	$-0.113649\pi$
$8$	−0.307637	−	2.81165i	−0.108766	−	0.994067i
$9$	−2.60746	−	1.48362i	−0.869155	−	0.494541i
$10$	1.41328	−	0.0513631i	0.446919	−	0.0162424i
$11$	0.320151	+	0.184839i	0.0965293	+	0.0557312i	0.547488	−	0.836814i	$-0.315584\pi$
$11$	0.320151	+	0.184839i	0.0965293	+	0.0557312i	−0.450958	+	0.892545i	$0.648918\pi$
$12$	−3.26856	+	1.14739i	−0.943552	+	0.331224i
$13$	4.62646	−	2.67109i	1.28315	−	0.740827i	0.305727	−	0.952119i	$-0.401100\pi$
$13$	4.62646	−	2.67109i	1.28315	−	0.740827i	0.977423	+	0.211292i	$0.0677671\pi$
$14$	−4.88949	+	3.06496i	−1.30677	+	0.819145i
$15$	−0.453549	−	1.67161i	−0.117106	−	0.431609i
$16$	−1.47733	+	3.71719i	−0.369332	+	0.929298i
$17$	2.60955			0.632910			0.316455	−	0.948608i	$-0.397507\pi$
$17$	2.60955			0.632910			0.316455	+	0.948608i	$0.397507\pi$
$18$	2.27594	+	3.58052i	0.536445	+	0.843935i
$19$			1.88128i			0.431595i	0.976438	+	0.215797i	$0.0692350\pi$
$19$			1.88128i			0.431595i	−0.976438	+	0.215797i	$0.930765\pi$
$20$	−1.80007	−	0.871631i	−0.402508	−	0.194903i
$21$	5.01328	+	4.98184i	1.09399	+	1.08713i
$22$	−0.277674	−	0.442970i	−0.0592003	−	0.0944415i
$23$	4.41270	+	7.64303i	0.920112	+	1.59368i	0.799239	+	0.601013i	$0.205236\pi$
$23$	4.41270	+	7.64303i	0.920112	+	1.59368i	0.120873	+	0.992668i	$0.461431\pi$
$24$	4.84421	+	0.730503i	0.988820	+	0.149113i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	−7.55000	+	0.274391i	−1.48068	+	0.0538125i
$27$	3.63939	−	3.70875i	0.700401	−	0.713750i
$28$	8.13949	−	0.592413i	1.53822	−	0.111955i
$29$	−1.10689	−	0.639061i	−0.205543	−	0.118671i	0.393695	−	0.919241i	$-0.371197\pi$
$29$	−1.10689	−	0.639061i	−0.205543	−	0.118671i	−0.599239	+	0.800571i	$0.704530\pi$
$30$	−0.540110	+	2.38920i	−0.0986101	+	0.436206i
$31$	2.07172	+	3.58832i	0.372091	+	0.644481i	0.989887	−	0.141858i	$-0.0453075\pi$
$31$	2.07172	+	3.58832i	0.372091	+	0.644481i	−0.617796	+	0.786339i	$0.711974\pi$
$32$	4.30746	−	3.66684i	0.761459	−	0.648213i
$33$	−0.451336	+	0.454185i	−0.0785674	+	0.0790634i
$34$	−3.26095	−	1.72794i	−0.559248	−	0.296339i
$35$			4.08051i			0.689732i
$36$	−0.473191	−	5.98131i	−0.0788651	−	0.996885i
$37$		−	3.04014i		−	0.499795i	−0.968272	−	0.249898i	$-0.919603\pi$
$37$		−	3.04014i		−	0.499795i	0.968272	−	0.249898i	$-0.0803970\pi$
$38$	1.24570	−	2.35088i	0.202080	−	0.381363i
$39$	2.42294	+	8.93006i	0.387981	+	1.42995i
$40$	1.67224	+	2.28114i	0.264405	+	0.360680i
$41$	−3.81584	−	6.60924i	−0.595935	−	1.03219i	−0.993414	−	0.114578i	$-0.963448\pi$
$41$	−3.81584	−	6.60924i	−0.595935	−	1.03219i	0.397479	−	0.917611i	$-0.369885\pi$
$42$	−2.96593	−	9.54498i	−0.457652	−	1.47282i
$43$	3.80708	+	2.19802i	0.580575	+	0.335195i	0.761362	−	0.648327i	$-0.224531\pi$
$43$	3.80708	+	2.19802i	0.580575	+	0.335195i	−0.180787	+	0.983522i	$0.557864\pi$
$44$	0.0536703	+	0.737407i	0.00809111	+	0.111168i
$45$	2.99994	−	0.0188780i	0.447205	−	0.00281416i
$46$	−0.453300	−	12.4728i	−0.0668355	−	1.83901i
$47$	0.882270	−	1.52814i	0.128692	−	0.222901i	−0.794478	−	0.607293i	$-0.792255\pi$
$47$	0.882270	−	1.52814i	0.128692	−	0.222901i	0.923170	+	0.384392i	$0.125589\pi$
$48$	−5.56970	−	4.12048i	−0.803918	−	0.594741i
$49$	−4.82528	−	8.35764i	−0.689326	−	1.19395i
$50$	−1.19826	+	0.751122i	−0.169459	+	0.106225i
$51$	−1.15609	+	4.36953i	−0.161885	+	0.611856i
$52$	9.61631	+	4.65641i	1.33354	+	0.645728i
$53$		−	10.0632i		−	1.38229i	−0.722715	−	0.691146i	$-0.757106\pi$
$53$		−	10.0632i		−	1.38229i	0.722715	−	0.691146i	$-0.242894\pi$
$54$	−7.00363	+	2.22467i	−0.953073	+	0.302739i
$55$	−0.369679			−0.0498475
$56$	−10.5635	−	4.64934i	−1.41161	−	0.621295i
$57$	−3.15008	−	0.833446i	−0.417238	−	0.110393i
$58$	0.960025	+	1.53152i	0.126057	+	0.201098i
$59$	1.95366	−	1.12795i	0.254345	−	0.146846i	−0.367407	−	0.930060i	$-0.619754\pi$
$59$	1.95366	−	1.12795i	0.254345	−	0.146846i	0.621752	+	0.783214i	$0.286421\pi$
$60$	2.25696	−	2.62795i	0.291372	−	0.339267i
$61$	12.1003	+	6.98612i	1.54929	+	0.894482i	0.998196	+	0.0600366i	$0.0191217\pi$
$61$	12.1003	+	6.98612i	1.54929	+	0.894482i	0.551091	+	0.834445i	$0.314212\pi$
$62$	−0.212820	−	5.85583i	−0.0270281	−	0.743692i
$63$	−10.5628	+	6.18736i	−1.33078	+	0.779534i
$64$	−7.81072	+	1.72993i	−0.976340	+	0.216241i
$65$	−2.67109	+	4.62646i	−0.331308	+	0.573842i
$66$	0.864739	−	0.268702i	0.106442	−	0.0330749i
$67$	−1.47978	+	0.854350i	−0.180784	+	0.104375i	−0.587661	−	0.809107i	$-0.699951\pi$
$67$	−1.47978	+	0.854350i	−0.180784	+	0.104375i	0.406877	+	0.913483i	$0.366618\pi$
$68$	2.93077	+	4.31853i	0.355408	+	0.523698i
$69$	−14.7527	+	4.00276i	−1.77601	+	0.481876i
$70$	2.70194	−	5.09908i	0.322944	−	0.609457i
$71$	8.59323			1.01983			0.509914	−	0.860225i	$-0.329677\pi$
$71$	8.59323			1.01983			0.509914	+	0.860225i	$0.329677\pi$
$72$	−3.36927	+	7.78768i	−0.397072	+	0.917787i
$73$	−11.9331			−1.39666			−0.698329	−	0.715777i	$-0.746073\pi$
$73$	−11.9331			−1.39666			−0.698329	+	0.715777i	$0.746073\pi$
$74$	−2.01305	+	3.79901i	−0.234013	+	0.441626i
$75$	1.22859	+	1.22089i	0.141866	+	0.140976i
$76$	−3.11331	+	2.11285i	−0.357121	+	0.242360i
$77$	1.30638	−	0.754239i	0.148876	−	0.0859535i
$78$	2.88536	−	12.7635i	0.326703	−	1.44519i
$79$	−5.04431	+	8.73700i	−0.567529	+	0.982990i	0.429280	+	0.903171i	$0.358767\pi$
$79$	−5.04431	+	8.73700i	−0.567529	+	0.982990i	−0.996809	+	0.0798182i	$0.974566\pi$
$80$	−0.579192	−	3.95784i	−0.0647556	−	0.442501i
$81$	4.59773	+	7.73698i	0.510859	+	0.859664i
$82$	0.391987	+	10.7857i	0.0432878	+	1.19108i
$83$	−1.36095	−	0.785746i	−0.149384	−	0.0862468i	0.423445	−	0.905922i	$-0.360821\pi$
$83$	−1.36095	−	0.785746i	−0.149384	−	0.0862468i	−0.572829	+	0.819675i	$0.694154\pi$
$84$	−2.61401	+	13.8915i	−0.285212	+	1.51569i
$85$	−2.25994	+	1.30478i	−0.245125	+	0.141523i
$86$	−3.30196	−	5.26758i	−0.356060	−	0.568018i
$87$	1.56044	−	1.57029i	0.167297	−	0.168353i
$88$	0.421213	−	0.957016i	0.0449015	−	0.102018i
$89$	12.9012			1.36752			0.683762	−	0.729706i	$-0.260343\pi$
$89$	12.9012			1.36752			0.683762	+	0.729706i	$0.260343\pi$
$90$	−3.76128	−	1.96285i	−0.396474	−	0.206902i
$91$		−	21.7988i		−	2.28514i
$92$	−7.69250	+	15.8864i	−0.801999	+	1.65627i
$93$	−6.92622	+	1.87925i	−0.718216	+	0.194869i
$94$	−2.11437	+	1.32538i	−0.218080	+	0.136703i
$95$	−0.940639	−	1.62923i	−0.0965075	−	0.167156i
$96$	4.23159	+	8.83706i	0.431885	+	0.901929i
$97$	0.0450082	−	0.0779566i	0.00456989	−	0.00791529i	−0.863731	−	0.503952i	$-0.831879\pi$
$97$	0.0450082	−	0.0779566i	0.00456989	−	0.00791529i	0.868301	+	0.496037i	$0.165212\pi$
$98$	0.495683	+	13.6390i	0.0500716	+	1.37774i
$99$	−0.560551	−	0.956946i	−0.0563375	−	0.0961766i
$100$	1.99472	−	0.145181i	0.199472	−	0.0145181i
$101$	−4.70263	−	2.71507i	−0.467929	−	0.270159i	0.247443	−	0.968902i	$-0.420410\pi$
$101$	−4.70263	−	2.71507i	−0.467929	−	0.270159i	−0.715372	+	0.698743i	$0.753743\pi$
$102$	4.33799	−	4.69473i	0.429525	−	0.464847i
$103$	−8.21543	−	14.2295i	−0.809490	−	1.40208i	−0.913218	−	0.407472i	$-0.866410\pi$
$103$	−8.21543	−	14.2295i	−0.809490	−	1.40208i	0.103728	−	0.994606i	$-0.466923\pi$
$104$	−8.93343	−	12.1863i	−0.875995	−	1.19496i
$105$	−6.83255	−	1.80775i	−0.666789	−	0.176419i
$106$	−6.66346	+	12.5752i	−0.647212	+	1.22141i
$107$			4.93967i			0.477536i	0.971077	+	0.238768i	$0.0767435\pi$
$107$			4.93967i			0.477536i	−0.971077	+	0.238768i	$0.923257\pi$
$108$	10.2250	+	1.85752i	0.983896	+	0.178740i
$109$			9.83808i			0.942318i	0.882048	+	0.471159i	$0.156164\pi$
$109$			9.83808i			0.942318i	−0.882048	+	0.471159i	$0.843836\pi$
$110$	0.461958	+	0.244786i	0.0440459	+	0.0233394i
$111$	5.09051	+	1.34685i	0.483170	+	0.127837i
$112$	10.1218	+	12.8046i	0.956418	+	1.20992i
$113$	−8.10981	−	14.0466i	−0.762907	−	1.32139i	−0.941346	−	0.337442i	$-0.890438\pi$
$113$	−8.10981	−	14.0466i	−0.762907	−	1.32139i	0.178439	−	0.983951i	$-0.442895\pi$
$114$	3.38452	+	3.12734i	0.316989	+	0.292902i
$115$	−7.64303	−	4.41270i	−0.712716	−	0.411487i
$116$	−0.185559	−	2.54950i	−0.0172287	−	0.236715i
$117$	−16.0262	+	0.100849i	−1.48162	+	0.00932353i
$118$	−3.18821	+	0.115870i	−0.293498	+	0.0106667i
$119$	5.32416	−	9.22171i	0.488065	−	0.845353i
$120$	−4.56046	+	1.78947i	−0.416311	+	0.163356i
$121$	−5.43167	−	9.40793i	−0.493788	−	0.855266i
$122$	−10.4949	−	16.7423i	−0.950160	−	1.51578i
$123$	12.7572	−	3.46135i	1.15028	−	0.312099i
$124$	−3.61155	+	7.45848i	−0.324326	+	0.669791i
$125$			1.00000i			0.0894427i
$126$	17.2964	−	0.737618i	1.54089	−	0.0657122i
$127$	9.08563			0.806219			0.403110	−	0.915152i	$-0.367929\pi$
$127$	9.08563			0.806219			0.403110	+	0.915152i	$0.367929\pi$
$128$	10.9059	+	3.01018i	0.963955	+	0.266065i
$129$	−5.36706	+	5.40094i	−0.472544	+	0.475527i
$130$	6.40130	−	4.01263i	0.561431	−	0.351931i
$131$	−15.9462	+	9.20657i	−1.39323	+	0.804382i	−0.993671	−	0.112326i	$-0.964170\pi$
$131$	−15.9462	+	9.20657i	−1.39323	+	0.804382i	−0.399559	+	0.916708i	$0.630837\pi$
$132$	−1.25852	−	0.236820i	−0.109540	−	0.0206125i
$133$	6.64811	+	3.83829i	0.576464	+	0.332822i
$134$	2.41487	−	0.0877642i	0.208613	−	0.00758167i
$135$	−1.29743	+	5.03157i	−0.111665	+	0.433048i
$136$	−0.802794	−	7.33714i	−0.0688391	−	0.629155i
$137$	−5.53509	+	9.58706i	−0.472895	+	0.819078i	−0.999519	−	0.0310207i	$-0.990124\pi$
$137$	−5.53509	+	9.58706i	−0.472895	+	0.819078i	0.526624	+	0.850098i	$0.323458\pi$
$138$	21.0857	+	4.76669i	1.79493	+	0.405767i
$139$	−12.4794	+	7.20500i	−1.05849	+	0.611120i	−0.925014	−	0.379932i	$-0.875947\pi$
$139$	−12.4794	+	7.20500i	−1.05849	+	0.611120i	−0.133476	+	0.991052i	$0.542614\pi$
$140$	−6.75280	+	4.58279i	−0.570716	+	0.387316i
$141$	2.16790	+	2.15430i	0.182570	+	0.181425i
$142$	−10.7383	−	5.69008i	−0.901135	−	0.477501i
$143$	1.97489			0.165149
$144$	9.36698	−	7.50064i	0.780582	−	0.625054i
$145$	1.27812			0.106142
$146$	14.9118	+	7.90157i	1.23411	+	0.653939i
$147$	16.1320	−	4.37701i	1.33055	−	0.361010i
$148$	5.03109	−	3.41435i	0.413553	−	0.280658i
$149$	10.9375	−	6.31478i	0.896037	−	0.517327i	0.0201244	−	0.999797i	$-0.493594\pi$
$149$	10.9375	−	6.31478i	0.896037	−	0.517327i	0.875912	+	0.482470i	$0.160260\pi$
$150$	−0.726852	−	2.33916i	−0.0593472	−	0.190992i
$151$	6.18106	−	10.7059i	0.503008	−	0.871235i	−0.496986	−	0.867758i	$-0.665560\pi$
$151$	6.18106	−	10.7059i	0.503008	−	0.871235i	0.999994	−	0.00347665i	$-0.00110665\pi$
$152$	5.28949	−	0.578750i	0.429034	−	0.0469428i
$153$	−6.80432	−	3.87159i	−0.550096	−	0.312999i
$154$	−2.13190	+	0.0774802i	−0.171794	+	0.00624353i
$155$	−3.58832	−	2.07172i	−0.288221	−	0.166404i
$156$	−12.0571	+	14.0390i	−0.965340	+	1.12402i
$157$	−11.2378	+	6.48813i	−0.896872	+	0.517809i	−0.876184	−	0.481977i	$-0.839919\pi$
$157$	−11.2378	+	6.48813i	−0.896872	+	0.517809i	−0.0206880	+	0.999786i	$0.506586\pi$
$158$	12.0887	−	7.57779i	0.961729	−	0.602856i
$159$	16.8502	+	4.45823i	1.33631	+	0.353561i
$160$	−1.89695	+	5.32931i	−0.149967	+	0.421319i
$161$	36.0122			2.83816
$162$	−0.622307	−	12.7127i	−0.0488931	−	0.998804i
$163$		−	19.8572i		−	1.55533i	−0.628677	−	0.777666i	$-0.716403\pi$
$163$		−	19.8572i		−	1.55533i	0.628677	−	0.777666i	$-0.283597\pi$
$164$	6.65202	−	13.7376i	0.519435	−	1.07273i
$165$	0.163776	−	0.619003i	0.0127499	−	0.0481893i
$166$	1.18038	+	1.88305i	0.0916154	+	0.146153i
$167$	6.75667	+	11.7029i	0.522847	+	0.905597i	0.999647	+	0.0265854i	$0.00846338\pi$
$167$	6.75667	+	11.7029i	0.522847	+	0.905597i	−0.476800	+	0.879012i	$0.658203\pi$
$168$	12.4649	−	15.6282i	0.961687	−	1.20574i
$169$	7.76945	−	13.4571i	0.597650	−	1.03516i
$170$	3.68803	−	0.134035i	0.282859	−	0.0102800i
$171$	2.79110	−	4.90536i	0.213441	−	0.375122i
$172$	0.638222	+	8.76889i	0.0486640	+	0.668622i
$173$	−4.48715	−	2.59066i	−0.341152	−	0.196964i	0.319630	−	0.947543i	$-0.396442\pi$
$173$	−4.48715	−	2.59066i	−0.341152	−	0.196964i	−0.660781	+	0.750579i	$0.729775\pi$
$174$	−2.98973	+	0.929005i	−0.226651	+	0.0704277i
$175$	−2.04026	−	3.53383i	−0.154229	−	0.267132i
$176$	−1.16005	+	0.916995i	−0.0874422	+	0.0691211i
$177$	1.02316	+	3.77098i	0.0769053	+	0.283444i
$178$	−16.1216	−	8.54263i	−1.20836	−	0.640297i
$179$			17.7907i			1.32974i	0.746961	+	0.664868i	$0.231512\pi$
$179$			17.7907i			1.32974i	−0.746961	+	0.664868i	$0.768488\pi$
$180$	3.40045	+	4.94337i	0.253455	+	0.368457i
$181$		−	9.23958i		−	0.686772i	−0.939194	−	0.343386i	$-0.888426\pi$
$181$		−	9.23958i		−	0.686772i	0.939194	−	0.343386i	$-0.111574\pi$
$182$	−14.4343	+	27.2402i	−1.06994	+	2.01918i
$183$	−17.0585	+	17.1662i	−1.26100	+	1.26896i
$184$	20.1320	−	14.7582i	1.48415	−	1.08799i
$185$	1.52007	+	2.63284i	0.111758	+	0.193570i
$186$	9.89949	+	2.23791i	0.725866	+	0.164091i
$187$	0.835452	+	0.482348i	0.0610943	+	0.0352728i
$188$	3.51977	−	0.256178i	0.256705	−	0.0186837i
$189$	−5.68080	−	20.4278i	−0.413217	−	1.48590i
$190$	0.0966283	+	2.65877i	0.00701015	+	0.192888i
$191$	−5.17948	+	8.97112i	−0.374774	+	0.649127i	−0.990293	−	0.138994i	$-0.955613\pi$
$191$	−5.17948	+	8.97112i	−0.374774	+	0.649127i	0.615519	+	0.788122i	$0.288946\pi$
$192$	0.563660	−	13.8449i	0.0406786	−	0.999172i
$193$	6.84990	+	11.8644i	0.493067	+	0.854017i	0.999968	−	0.00798751i	$-0.00254253\pi$
$193$	6.84990	+	11.8644i	0.493067	+	0.854017i	−0.506901	+	0.862004i	$0.669209\pi$
$194$	−0.107863	+	0.0676134i	−0.00774409	+	0.00485436i
$195$	−6.56336	−	6.52219i	−0.470012	−	0.467064i
$196$	8.41174	−	17.3717i	0.600838	−	1.24084i
$197$		−	14.1112i		−	1.00538i	−0.864467	−	0.502689i	$-0.832344\pi$
$197$		−	14.1112i		−	1.00538i	0.864467	−	0.502689i	$-0.167656\pi$
$198$	0.0668254	+	1.56699i	0.00474908	+	0.111361i
$199$	−18.1566			−1.28709			−0.643543	−	0.765410i	$-0.722536\pi$
$199$	−18.1566			−1.28709			−0.643543	+	0.765410i	$0.722536\pi$
$200$	−2.58878	−	1.13940i	−0.183054	−	0.0805679i
$201$	−0.774980	−	2.85629i	−0.0546629	−	0.201467i
$202$	4.07869	+	6.50668i	0.286976	+	0.457809i
$203$	−4.51666	+	2.60769i	−0.317007	+	0.183024i
$204$	−8.52949	+	2.99418i	−0.597183	+	0.209635i
$205$	6.60924	+	3.81584i	0.461609	+	0.266510i
$206$	0.843940	+	23.2214i	0.0588001	+	1.61791i
$207$	−0.166606	−	26.4757i	−0.0115799	−	1.84019i
$208$	3.09415	+	21.1435i	0.214541	+	1.46604i
$209$	−0.347734	+	0.602293i	−0.0240533	+	0.0416615i
$210$	7.34106	+	6.78323i	0.506581	+	0.468088i
$211$	−22.5320	+	13.0088i	−1.55117	+	0.895566i	−0.553118	+	0.833103i	$0.686562\pi$
$211$	−22.5320	+	13.0088i	−1.55117	+	0.895566i	−0.998047	+	0.0624631i	$0.980104\pi$
$212$	16.6536	−	11.3019i	1.14377	−	0.776221i
$213$	−3.80699	+	14.3888i	−0.260850	+	0.985905i
$214$	3.27084	−	6.17270i	0.223590	−	0.421957i
$215$	−4.39604			−0.299808
$216$	−11.5473	−	9.09173i	−0.785695	−	0.618614i
$217$	16.9073			1.14774
$218$	6.51437	−	12.2939i	0.441209	−	0.832645i
$219$	5.28660	−	19.9811i	0.357235	−	1.35020i
$220$	−0.415183	−	0.611778i	−0.0279917	−	0.0412461i
$221$	12.0730	−	6.97035i	0.812118	−	0.468877i
$222$	−5.46937	−	5.05377i	−0.367080	−	0.339187i
$223$	−0.952729	+	1.65017i	−0.0637994	+	0.110504i	−0.896161	−	0.443729i	$-0.853655\pi$
$223$	−0.952729	+	1.65017i	−0.0637994	+	0.110504i	0.832361	+	0.554233i	$0.186988\pi$
$224$	−4.16966	−	22.7031i	−0.278597	−	1.51692i
$225$	−2.58859	+	1.51632i	−0.172572	+	0.101088i
$226$	0.833090	+	22.9229i	0.0554163	+	1.52481i
$227$	15.9311	+	9.19784i	1.05739	+	0.610482i	0.924708	−	0.380677i	$-0.124309\pi$
$227$	15.9311	+	9.19784i	1.05739	+	0.610482i	0.132678	+	0.991159i	$0.457642\pi$
$228$	−2.15856	−	6.14907i	−0.142954	−	0.407232i
$229$	−9.54790	+	5.51249i	−0.630943	+	0.364275i	−0.781117	−	0.624384i	$-0.785350\pi$
$229$	−9.54790	+	5.51249i	−0.630943	+	0.364275i	0.150174	+	0.988660i	$0.452017\pi$
$230$	6.62896	+	10.5751i	0.437101	+	0.697301i
$231$	0.684170	+	2.52159i	0.0450151	+	0.165909i
$232$	−1.45629	+	3.30877i	−0.0956104	+	0.217231i
$233$	−16.8788			−1.10577			−0.552885	−	0.833258i	$-0.686473\pi$
$233$	−16.8788			−1.10577			−0.552885	+	0.833258i	$0.686473\pi$
$234$	20.0934	+	10.4859i	1.31355	+	0.685483i
$235$			1.76454i			0.115106i
$236$	4.06077	+	1.96631i	0.264334	+	0.127996i
$237$	−12.3948	−	12.3170i	−0.805129	−	0.800078i
$238$	−12.7594	+	7.99818i	−0.827069	+	0.518445i
$239$	−5.15400	−	8.92699i	−0.333385	−	0.577439i	0.649789	−	0.760115i	$-0.274857\pi$
$239$	−5.15400	−	8.92699i	−0.333385	−	0.577439i	−0.983173	+	0.182676i	$0.941524\pi$
$240$	6.88375	+	0.783592i	0.444344	+	0.0505806i
$241$	−2.50577	+	4.34011i	−0.161411	+	0.279571i	−0.935375	−	0.353658i	$-0.884938\pi$
$241$	−2.50577	+	4.34011i	−0.161411	+	0.279571i	0.773964	+	0.633229i	$0.218271\pi$
$242$	0.557975	+	15.3529i	0.0358680	+	0.986925i
$243$	−14.9920	+	4.27096i	−0.961735	+	0.273982i
$244$	2.02850	+	27.8708i	0.129862	+	1.78424i
$245$	8.35764	+	4.82528i	0.533950	+	0.308276i
$246$	−18.2336	−	4.12195i	−1.16253	−	0.262806i
$247$	5.02506	+	8.70366i	0.319737	+	0.553801i
$248$	9.45175	−	6.92883i	0.600187	−	0.439981i
$249$	1.91861	−	1.93072i	0.121587	−	0.122355i
$250$	0.662158	−	1.24962i	0.0418786	−	0.0790328i
$251$		−	1.21512i		−	0.0766977i	−0.999264	−	0.0383488i	$-0.987790\pi$
$251$		−	1.21512i		−	0.0766977i	0.999264	−	0.0383488i	$-0.0122098\pi$
$252$	−22.1023	−	10.5312i	−1.39232	−	0.663405i
$253$			3.26257i			0.205116i
$254$	−11.3536	−	6.01613i	−0.712386	−	0.377485i
$255$	−1.18356	−	4.36217i	−0.0741175	−	0.273169i
$256$	−11.6350	−	10.9830i	−0.727188	−	0.686438i
$257$	8.44091	+	14.6201i	0.526530	+	0.911976i	0.999522	+	0.0309097i	$0.00984044\pi$
$257$	8.44091	+	14.6201i	0.526530	+	0.911976i	−0.472992	+	0.881066i	$0.656826\pi$
$258$	10.2831	−	3.19527i	0.640196	−	0.198929i
$259$	−10.7433	−	6.20265i	−0.667557	−	0.385414i
$260$	−10.6562	+	0.775583i	−0.660868	+	0.0480996i
$261$	1.93804	+	3.30853i	0.119962	+	0.204793i
$262$	26.0229	−	0.945756i	1.60770	−	0.0584290i
$263$	6.72703	−	11.6516i	0.414806	−	0.718466i	−0.580602	−	0.814188i	$-0.697183\pi$
$263$	6.72703	−	11.6516i	0.414806	−	0.718466i	0.995408	+	0.0957219i	$0.0305159\pi$
$264$	1.41585	+	1.12927i	0.0871398	+	0.0695019i
$265$	5.03162	+	8.71502i	0.309090	+	0.535359i
$266$	−5.76604	−	9.19849i	−0.353539	−	0.563996i
$267$	−5.71550	+	21.6022i	−0.349783	+	1.32203i
$268$	−3.07578	−	1.48936i	−0.187883	−	0.0909770i
$269$			8.72380i			0.531900i	0.963987	+	0.265950i	$0.0856855\pi$
$269$			8.72380i			0.531900i	−0.963987	+	0.265950i	$0.914314\pi$
$270$	4.95299	−	5.42844i	0.301429	−	0.330364i
$271$	8.15697			0.495501			0.247750	−	0.968824i	$-0.420309\pi$
$271$	8.15697			0.495501			0.247750	+	0.968824i	$0.420309\pi$
$272$	−3.85517	+	9.70021i	−0.233754	+	0.588161i
$273$	36.5007	+	9.65735i	2.20912	+	0.584489i
$274$	13.2649	−	8.31506i	0.801362	−	0.502331i
$275$	0.320151	−	0.184839i	0.0193059	−	0.0111462i
$276$	−23.1927	−	19.9186i	−1.39604	−	1.19896i
$277$	18.4491	+	10.6516i	1.10850	+	0.639991i	0.938440	−	0.345443i	$-0.112271\pi$
$277$	18.4491	+	10.6516i	1.10850	+	0.639991i	0.170057	+	0.985434i	$0.445605\pi$
$278$	20.3654	−	0.740142i	1.22143	−	0.0443908i
$279$	−0.0782195	−	12.4301i	−0.00468288	−	0.744168i
$280$	11.4730	−	1.25531i	0.685640	−	0.0750194i
$281$	−8.58557	+	14.8707i	−0.512172	+	0.887109i	0.487728	+	0.872996i	$0.337826\pi$
$281$	−8.58557	+	14.8707i	−0.512172	+	0.887109i	−0.999900	+	0.0141130i	$0.995508\pi$
$282$	−1.28256	−	4.12755i	−0.0763753	−	0.245792i
$283$	−7.07353	+	4.08390i	−0.420478	+	0.242763i	−0.695282	−	0.718737i	$-0.744720\pi$
$283$	−7.07353	+	4.08390i	−0.420478	+	0.242763i	0.274804	+	0.961500i	$0.411387\pi$
$284$	9.65099	+	14.2209i	0.572681	+	0.843853i
$285$	3.14477	−	0.853252i	0.186280	−	0.0505423i
$286$	−2.46786	−	1.30769i	−0.145928	−	0.0773254i
$287$	−31.1412			−1.83821
$288$	−16.6718	+	3.17052i	−0.982393	+	0.186824i
$289$	−10.1902			−0.599425
$290$	−1.59716	−	0.846319i	−0.0937887	−	0.0496975i
$291$	0.110594	+	0.109900i	0.00648311	+	0.00644244i
$292$	−13.4019	−	19.7479i	−0.784288	−	1.15566i
$293$	−7.81917	+	4.51440i	−0.456801	+	0.263734i	−0.710698	−	0.703497i	$-0.751621\pi$
$293$	−7.81917	+	4.51440i	−0.456801	+	0.263734i	0.253897	+	0.967231i	$0.418287\pi$
$294$	−23.0571	−	5.21236i	−1.34472	−	0.303991i
$295$	−1.12795	+	1.95366i	−0.0656716	+	0.113747i
$296$	−8.54779	+	0.935258i	−0.496830	+	0.0543607i
$297$	1.85068	−	0.514659i	0.107387	−	0.0298635i
$298$	−17.8491	+	0.648694i	−1.03397	+	0.0375778i
$299$	40.8304	+	23.5735i	2.36128	+	1.36329i
$300$	−0.640610	+	3.40435i	−0.0369856	+	0.196550i
$301$	15.5348	−	8.96905i	0.895414	−	0.516967i
$302$	−14.8130	+	9.28547i	−0.852391	+	0.534319i
$303$	6.62957	−	6.67142i	0.380859	−	0.383263i
$304$	−6.99307	−	2.77926i	−0.401080	−	0.159402i
$305$	−13.9722			−0.800049
$306$	5.93919	+	9.34355i	0.339521	+	0.534135i
$307$			24.7416i			1.41208i	0.708174	+	0.706038i	$0.249519\pi$
$307$			24.7416i			1.41208i	−0.708174	+	0.706038i	$0.750481\pi$
$308$	2.71537	+	1.31484i	0.154723	+	0.0749198i
$309$	27.4660	−	7.45220i	1.56249	−	0.423941i
$310$	3.11222	+	4.96489i	0.176762	+	0.281987i
$311$	−11.4925	−	19.9056i	−0.651681	−	1.12874i	−0.982715	−	0.185125i	$-0.940731\pi$
$311$	−11.4925	−	19.9056i	−0.651681	−	1.12874i	0.331034	−	0.943619i	$-0.392602\pi$
$312$	24.3628	−	9.55968i	1.37927	−	0.541210i
$313$	−14.0443	+	24.3254i	−0.793830	+	1.37495i	0.129749	+	0.991547i	$0.458583\pi$
$313$	−14.0443	+	24.3254i	−0.793830	+	1.37495i	−0.923579	+	0.383407i	$0.874751\pi$
$314$	18.3391	−	0.666501i	1.03494	−	0.0376128i
$315$	6.05393	−	10.6398i	0.341101	−	0.599484i
$316$	−20.1240	+	1.46468i	−1.13206	+	0.0823945i
$317$	−23.3386	−	13.4745i	−1.31082	−	0.756805i	−0.328592	−	0.944472i	$-0.606574\pi$
$317$	−23.3386	−	13.4745i	−1.31082	−	0.756805i	−0.982233	+	0.187667i	$0.939908\pi$
$318$	−18.1043	−	16.7286i	−1.01524	−	0.938094i
$319$	−0.236247	−	0.409192i	−0.0132273	−	0.0229104i
$320$	5.89932	−	5.40352i	0.329782	−	0.302066i
$321$	−8.27115	−	2.18838i	−0.461651	−	0.122143i
$322$	−45.0015	−	23.8458i	−2.50783	−	1.32887i
$323$			4.90929i			0.273160i
$324$	−7.64018	+	16.2981i	−0.424454	+	0.905449i
$325$		−	5.34218i		−	0.296331i
$326$	−13.1486	+	24.8139i	−0.728233	+	1.37431i
$327$	−16.4732	−	4.35848i	−0.910972	−	0.241025i
$328$	−17.4089	+	12.7621i	−0.961248	+	0.704666i
$329$	−3.60011	−	6.23557i	−0.198481	−	0.343778i
$330$	−0.614535	+	0.665072i	−0.0338291	+	0.0366110i
$331$	0.187126	+	0.108037i	0.0102854	+	0.00593828i	0.505134	−	0.863041i	$-0.331443\pi$
$331$	0.187126	+	0.108037i	0.0102854	+	0.00593828i	−0.494848	+	0.868979i	$0.664776\pi$
$332$	−0.228151	−	3.13469i	−0.0125214	−	0.172039i
$333$	−4.51041	+	7.92705i	−0.247169	+	0.434399i
$334$	−0.694087	−	19.0981i	−0.0379788	−	1.04500i
$335$	0.854350	−	1.47978i	0.0466781	−	0.0808489i
$336$	−25.9247	+	11.2755i	−1.41431	+	0.615130i
$337$	0.992756	+	1.71950i	0.0540789	+	0.0936674i	0.891798	−	0.452435i	$-0.149444\pi$
$337$	0.992756	+	1.71950i	0.0540789	+	0.0936674i	−0.837719	+	0.546102i	$0.816111\pi$
$338$	−18.6196	+	11.6716i	−1.01277	+	0.634852i
$339$	27.1129	−	7.35640i	1.47257	−	0.399545i
$340$	−4.69738	−	2.27457i	−0.254751	−	0.123356i
$341$			1.53174i			0.0829484i
$342$	−6.73594	+	4.28168i	−0.364238	+	0.231527i
$343$	−10.8157			−0.583991
$344$	5.00886	−	11.3804i	0.270060	−	0.613588i
$345$	10.7748	−	10.8428i	0.580096	−	0.583758i
$346$	3.89180	+	6.20854i	0.209224	+	0.333773i
$347$	10.5340	−	6.08183i	0.565497	−	0.326490i	−0.189852	−	0.981813i	$-0.560801\pi$
$347$	10.5340	−	6.08183i	0.565497	−	0.326490i	0.755349	+	0.655323i	$0.227467\pi$
$348$	4.35118	+	0.818777i	0.233247	+	0.0438910i
$349$	−23.6671	−	13.6642i	−1.26687	−	0.731428i	−0.292476	−	0.956273i	$-0.594479\pi$
$349$	−23.6671	−	13.6642i	−1.26687	−	0.731428i	−0.974395	+	0.224845i	$0.927813\pi$
$350$	0.209588	+	5.76691i	0.0112029	+	0.308254i
$351$	6.93110	−	26.8795i	0.369955	−	1.43472i
$352$	2.05682	−	0.377756i	0.109629	−	0.0201344i
$353$	−3.43602	+	5.95137i	−0.182881	+	0.316759i	−0.942860	−	0.333188i	$-0.891876\pi$
$353$	−3.43602	+	5.95137i	−0.182881	+	0.316759i	0.759979	+	0.649947i	$0.225209\pi$
$354$	1.21843	−	5.38978i	0.0647588	−	0.286464i
$355$	−7.44196	+	4.29662i	−0.394978	+	0.228041i
$356$	14.4892	+	21.3501i	0.767927	+	1.13155i
$357$	13.0824	+	13.0004i	0.692396	+	0.688052i
$358$	11.7802	−	22.2315i	0.622605	−	1.17497i
$359$	−0.510693			−0.0269533			−0.0134767	−	0.999909i	$-0.504290\pi$
$359$	−0.510693			−0.0269533			−0.0134767	+	0.999909i	$0.504290\pi$
$360$	−0.975970	−	8.42897i	−0.0514381	−	0.444246i
$361$	15.4608			0.813726
$362$	−6.11806	+	11.5459i	−0.321558	+	0.606841i
$363$	18.1593	−	4.92706i	0.953116	−	0.258604i
$364$	36.0747	−	24.4821i	1.89083	−	1.28321i
$365$	10.3343	−	5.96653i	0.540924	−	0.312302i
$366$	32.6834	−	10.1558i	1.70839	−	0.530850i
$367$	1.14997	−	1.99180i	0.0600277	−	0.103971i	−0.834450	−	0.551084i	$-0.814214\pi$
$367$	1.14997	−	1.99180i	0.0600277	−	0.103971i	0.894478	+	0.447113i	$0.147548\pi$
$368$	−34.9296	+	5.11160i	−1.82083	+	0.266461i
$369$	0.144071	+	22.8946i	0.00750002	+	1.19185i
$370$	−0.156151	−	4.29657i	−0.00811790	−	0.223368i
$371$	−35.5617	−	20.5316i	−1.84627	−	1.06595i
$372$	−10.8887	−	9.35157i	−0.564555	−	0.484856i
$373$	11.0670	−	6.38951i	0.573025	−	0.330836i	−0.185331	−	0.982676i	$-0.559336\pi$
$373$	11.0670	−	6.38951i	0.573025	−	0.330836i	0.758357	+	0.651840i	$0.226003\pi$
$374$	−0.724605	−	1.15595i	−0.0374684	−	0.0597729i
$375$	−1.67443	−	0.443022i	−0.0864674	−	0.0228775i
$376$	−4.56800	−	2.01052i	−0.235576	−	0.103685i
$377$	−6.82795			−0.351658
$378$	−6.42759	+	29.2885i	−0.330600	+	1.50644i
$379$		−	8.23995i		−	0.423258i	−0.977350	−	0.211629i	$-0.932123\pi$
$379$		−	8.23995i		−	0.423258i	0.977350	−	0.211629i	$-0.0678768\pi$
$380$	1.63978	−	3.38643i	0.0841190	−	0.173720i
$381$	−4.02513	+	15.2133i	−0.206214	+	0.779401i
$382$	12.4127	−	7.78084i	0.635088	−	0.398102i
$383$	2.55256	+	4.42116i	0.130430	+	0.225911i	0.923842	−	0.382773i	$-0.125031\pi$
$383$	2.55256	+	4.42116i	0.130430	+	0.225911i	−0.793413	+	0.608684i	$0.791698\pi$
$384$	−9.87190	+	16.9277i	−0.503773	+	0.863836i
$385$	−0.754239	+	1.30638i	−0.0384396	+	0.0665793i
$386$	−0.703665	−	19.3617i	−0.0358156	−	0.985483i
$387$	−6.66580	−	11.3795i	−0.338842	−	0.578454i
$388$	0.179558	−	0.0130687i	0.00911568	−	0.000663462i
$389$	14.1799	+	8.18674i	0.718947	+	0.415084i	0.814365	−	0.580353i	$-0.197085\pi$
$389$	14.1799	+	8.18674i	0.718947	+	0.415084i	−0.0954178	+	0.995437i	$0.530419\pi$
$390$	3.88297	+	12.4962i	0.196622	+	0.632771i
$391$	11.5152	+	19.9449i	0.582348	+	1.00866i
$392$	−22.0143	+	16.1381i	−1.11189	+	0.815098i
$393$	−8.35127	−	30.7797i	−0.421266	−	1.55263i
$394$	−9.34382	+	17.6336i	−0.470735	+	0.888366i
$395$		−	10.0886i		−	0.507614i
$396$	0.954090	−	2.00239i	0.0479448	−	0.100624i
$397$			0.186817i			0.00937606i	0.999989	+	0.00468803i	$0.00149225\pi$
$397$			0.186817i			0.00937606i	−0.999989	+	0.00468803i	$0.998508\pi$
$398$	22.6888	+	12.0225i	1.13729	+	0.602635i
$399$	−9.37221	+	9.43138i	−0.469198	+	0.472159i
$400$	2.48052	+	3.13800i	0.124026	+	0.156900i
$401$	−4.70535	−	8.14990i	−0.234974	−	0.406987i	0.724291	−	0.689494i	$-0.242167\pi$
$401$	−4.70535	−	8.14990i	−0.234974	−	0.406987i	−0.959265	+	0.282507i	$0.908834\pi$
$402$	−0.922886	+	4.08243i	−0.0460293	+	0.203613i
$403$	19.1694	+	11.0675i	0.954898	+	0.551311i
$404$	−0.788352	−	10.8316i	−0.0392220	−	0.538893i
$405$	−7.85024	−	4.40155i	−0.390082	−	0.218715i
$406$	7.37080	−	0.267879i	0.365807	−	0.0132946i
$407$	0.561937	−	0.973304i	0.0278542	−	0.0482449i
$408$	12.6412	+	1.90629i	0.625834	+	0.0943752i
$409$	9.14059	+	15.8320i	0.451973	+	0.782841i	0.998509	−	0.0545955i	$-0.0173869\pi$
$409$	9.14059	+	15.8320i	0.451973	+	0.782841i	−0.546535	+	0.837436i	$0.684054\pi$
$410$	−5.73233	−	9.14471i	−0.283100	−	0.451625i
$411$	−13.6007	−	13.5154i	−0.670875	−	0.666667i
$412$	14.3216	−	29.5767i	0.705577	−	1.45714i
$413$		−	9.20519i		−	0.452958i
$414$	−17.3229	+	33.1948i	−0.851375	+	1.63144i
$415$	1.57149			0.0771415
$416$	10.1339	−	28.4702i	0.496853	−	1.39586i
$417$	−6.53564	−	24.0879i	−0.320052	−	1.17959i
$418$	0.833349	−	0.522382i	0.0407604	−	0.0255505i
$419$	6.84038	−	3.94929i	0.334174	−	0.192936i	−0.323518	−	0.946222i	$-0.604866\pi$
$419$	6.84038	−	3.94929i	0.334174	−	0.192936i	0.657693	+	0.753286i	$0.271532\pi$
$420$	−4.68195	−	13.3374i	−0.228456	−	0.650798i
$421$	26.7251	+	15.4298i	1.30250	+	0.752000i	0.980833	−	0.194852i	$-0.0624225\pi$
$421$	26.7251	+	15.4298i	1.30250	+	0.752000i	0.321670	+	0.946852i	$0.395756\pi$
$422$	36.7703	−	1.33635i	1.78995	−	0.0650525i
$423$	−4.56766	+	2.67560i	−0.222087	+	0.130092i
$424$	−28.2943	+	3.09582i	−1.37409	+	0.150346i
$425$	1.30478	−	2.25994i	0.0632910	−	0.109623i
$426$	14.2849	−	15.4597i	0.692108	−	0.749024i
$427$	49.3755	−	28.5070i	2.38945	−	1.37955i
$428$	−8.17461	+	5.54770i	−0.395135	+	0.268158i
$429$	−0.874920	+	3.30683i	−0.0422415	+	0.159655i
$430$	5.49338	+	2.91088i	0.264914	+	0.140375i
$431$	−26.2550			−1.26466			−0.632329	−	0.774700i	$-0.717901\pi$
$431$	−26.2550			−1.26466			−0.632329	+	0.774700i	$0.717901\pi$
$432$	8.40956	+	19.0073i	0.404605	+	0.914491i
$433$	9.71829			0.467031			0.233516	−	0.972353i	$-0.424977\pi$
$433$	9.71829			0.467031			0.233516	+	0.972353i	$0.424977\pi$
$434$	−21.1277	−	11.1953i	−1.01416	−	0.537393i
$435$	−0.566235	+	2.14013i	−0.0271489	+	0.102611i
$436$	−16.2810	+	11.0491i	−0.779716	+	0.529155i
$437$	−14.3787	+	8.30152i	−0.687824	+	0.397116i
$438$	−19.8369	+	21.4682i	−0.947844	+	1.02579i
$439$	9.66765	−	16.7449i	0.461412	−	0.799189i	−0.537620	−	0.843187i	$-0.680676\pi$
$439$	9.66765	−	16.7449i	0.461412	−	0.799189i	0.999032	+	0.0439987i	$0.0140097\pi$
$440$	0.113727	+	1.03941i	0.00542171	+	0.0495518i
$441$	0.182183	+	28.9511i	0.00867538	+	1.37863i
$442$	−19.7021	+	0.716038i	−0.937135	+	0.0340585i
$443$	−14.5245	−	8.38573i	−0.690080	−	0.398418i	0.113562	−	0.993531i	$-0.463774\pi$
$443$	−14.5245	−	8.38573i	−0.690080	−	0.398418i	−0.803642	+	0.595113i	$0.797107\pi$
$444$	3.48823	+	9.93687i	0.165544	+	0.471583i
$445$	−11.1728	+	6.45059i	−0.529639	+	0.305787i
$446$	2.28322	−	1.43123i	0.108114	−	0.0677707i
$447$	5.72813	+	21.1118i	0.270931	+	0.998552i
$448$	−9.82258	+	31.1312i	−0.464074	+	1.47081i
$449$	11.0309			0.520582			0.260291	−	0.965530i	$-0.416181\pi$
$449$	11.0309			0.520582			0.260291	+	0.965530i	$0.416181\pi$
$450$	4.23879	−	0.180766i	0.199818	−	0.00852140i
$451$		−	2.82127i		−	0.132849i
$452$	14.1375	−	29.1965i	0.664974	−	1.37329i
$453$	15.1880	+	15.0927i	0.713595	+	0.709119i
$454$	−13.8174	−	22.0427i	−0.648483	−	1.03452i
$455$	10.8994	+	18.8783i	0.510972	+	0.885030i
$456$	−1.37428	+	9.11330i	−0.0643565	+	0.426769i
$457$	9.61496	−	16.6536i	0.449769	−	0.779022i	−0.548602	−	0.836084i	$-0.684840\pi$
$457$	9.61496	−	16.6536i	0.449769	−	0.779022i	0.998371	+	0.0570614i	$0.0181731\pi$
$458$	15.5814	−	0.566277i	0.728070	−	0.0264604i
$459$	9.49718	−	9.67819i	0.443291	−	0.451739i
$460$	−1.28128	−	17.6042i	−0.0597400	−	0.820802i
$461$	27.0061	+	15.5920i	1.25780	+	0.726191i	0.972646	−	0.232291i	$-0.0746221\pi$
$461$	27.0061	+	15.5920i	1.25780	+	0.726191i	0.285154	+	0.958482i	$0.407955\pi$
$462$	0.814744	−	3.60406i	0.0379053	−	0.167676i
$463$	−14.5978	−	25.2841i	−0.678416	−	1.17505i	−0.975458	−	0.220186i	$-0.929333\pi$
$463$	−14.5978	−	25.2841i	−0.678416	−	1.17505i	0.297042	−	0.954864i	$-0.404000\pi$
$464$	4.01074	−	3.17040i	0.186194	−	0.147182i
$465$	5.05866	−	5.09059i	0.234590	−	0.236070i
$466$	21.0921	+	11.1765i	0.977073	+	0.517740i
$467$			7.90238i			0.365679i	0.983143	+	0.182839i	$0.0585288\pi$
$467$			7.90238i			0.365679i	−0.983143	+	0.182839i	$0.941471\pi$
$468$	−18.1658	−	26.4084i	−0.839715	−	1.22073i
$469$			6.97237i			0.321954i
$470$	1.16840	−	2.20500i	0.0538945	−	0.101709i
$471$	−5.88538	−	21.6913i	−0.271184	−	0.999483i
$472$	−3.77240	−	5.14601i	−0.173639	−	0.236864i
$473$	0.812562	+	1.40740i	0.0373616	+	0.0647123i
$474$	7.33293	+	23.5989i	0.336813	+	1.08394i
$475$	1.62923	+	0.940639i	0.0747544	+	0.0431595i
$476$	21.2404	−	1.54593i	0.973554	−	0.0708577i
$477$	−14.9300	+	26.2395i	−0.683599	+	1.20143i
$478$	0.529451	+	14.5681i	0.0242165	+	0.666329i
$479$	−6.75925	+	11.7074i	−0.308838	+	0.534923i	−0.978108	−	0.208096i	$-0.933273\pi$
$479$	−6.75925	+	11.7074i	−0.308838	+	0.534923i	0.669271	+	0.743019i	$0.266607\pi$
$480$	−8.08320	−	5.53732i	−0.368946	−	0.252743i
$481$	−8.12048	−	14.0651i	−0.370262	−	0.641313i
$482$	6.00509	−	3.76427i	0.273525	−	0.171458i
$483$	−15.9542	+	60.3000i	−0.725940	+	2.74375i
$484$	9.46883	−	19.5548i	0.430401	−	0.888854i
$485$			0.0900165i			0.00408744i
$486$	21.5623	+	4.58999i	0.978085	+	0.208206i
$487$	10.4175			0.472061			0.236031	−	0.971746i	$-0.424153\pi$
$487$	10.4175			0.472061			0.236031	+	0.971746i	$0.424153\pi$
$488$	15.9200	−	36.1710i	0.720665	−	1.63739i
$489$	33.2495	+	8.79715i	1.50360	+	0.397821i
$490$	−7.24875	−	11.5638i	−0.327465	−	0.522401i
$491$	11.9665	−	6.90884i	0.540038	−	0.311791i	−0.205056	−	0.978750i	$-0.565738\pi$
$491$	11.9665	−	6.90884i	0.540038	−	0.311791i	0.745095	+	0.666959i	$0.232404\pi$
$492$	20.0557	+	17.2244i	0.904181	+	0.776537i
$493$	−2.88848	−	1.66766i	−0.130090	−	0.0751078i
$494$	−0.516206	−	14.2036i	−0.0232252	−	0.639052i
$495$	0.963924	+	0.548464i	0.0433252	+	0.0246516i
$496$	−16.3991	+	2.39984i	−0.736340	+	0.107756i
$497$	17.5324	−	30.3670i	0.786435	−	1.36215i
$498$	−3.67598	+	1.14224i	−0.164724	+	0.0511851i
$499$	0.591237	−	0.341351i	0.0264674	−	0.0152810i	−0.486708	−	0.873565i	$-0.661802\pi$
$499$	0.591237	−	0.341351i	0.0264674	−	0.0152810i	0.513175	+	0.858284i	$0.328469\pi$
$500$	−1.65489	+	1.12309i	−0.0740090	+	0.0502262i
$501$	−22.5891	+	6.12897i	−1.00921	+	0.273822i
$502$	−0.804602	+	1.51844i	−0.0359111	+	0.0677711i
$503$	4.46146			0.198927			0.0994633	−	0.995041i	$-0.468287\pi$
$503$	4.46146			0.198927			0.0994633	+	0.995041i	$0.468287\pi$
$504$	20.6462	+	27.7953i	0.919653	+	1.23810i
$505$	5.43013			0.241638
$506$	2.16034	−	4.07696i	0.0960387	−	0.181243i
$507$	19.0910	+	18.9712i	0.847860	+	0.842541i
$508$	10.2040	+	15.0357i	0.452729	+	0.667102i
$509$	−9.56309	+	5.52125i	−0.423876	+	0.244725i	−0.696734	−	0.717329i	$-0.745364\pi$
$509$	−9.56309	+	5.52125i	−0.423876	+	0.244725i	0.272858	+	0.962054i	$0.412031\pi$
$510$	−1.40944	+	6.23475i	−0.0624113	+	0.276079i
$511$	−24.3465	+	42.1693i	−1.07702	+	1.86546i
$512$	7.26682	+	21.4288i	0.321151	+	0.947028i
$513$	6.97719	+	6.84670i	0.308050	+	0.302289i
$514$	−0.867103	−	23.8588i	−0.0382463	−	1.05236i
$515$	14.2295	+	8.21543i	0.627028	+	0.362015i
$516$	−14.9657	−	2.81615i	−0.658827	−	0.123974i
$517$	0.564919	−	0.326156i	0.0248451	−	0.0143443i
$518$	9.31790	+	14.8647i	0.409405	+	0.653119i
$519$	6.32579	−	6.36572i	0.277671	−	0.279424i
$520$	13.8297	+	6.08689i	0.606473	+	0.266928i
$521$	−1.96137			−0.0859292			−0.0429646	−	0.999077i	$-0.513680\pi$
$521$	−1.96137			−0.0859292			−0.0429646	+	0.999077i	$0.513680\pi$
$522$	−0.231041	−	5.41768i	−0.0101124	−	0.237126i
$523$		−	16.4134i		−	0.717709i	−0.933394	−	0.358854i	$-0.883167\pi$
$523$		−	16.4134i		−	0.717709i	0.933394	−	0.358854i	$-0.116833\pi$
$524$	−33.1450	−	16.0495i	−1.44795	−	0.701124i
$525$	6.82104	−	1.85071i	0.297695	−	0.0807718i
$526$	−16.1214	+	10.1056i	−0.702926	+	0.440627i
$527$	5.40626	+	9.36391i	0.235500	+	0.407898i
$528$	−1.02152	−	2.34868i	−0.0444560	−	0.102213i
$529$	−27.4439	+	47.5342i	−1.19321	+	2.06671i
$530$	−0.516879	−	14.2222i	−0.0224518	−	0.617772i
$531$	−6.76754	+	0.0425866i	−0.293686	+	0.00184810i
$532$	1.11449	+	15.3126i	0.0483194	+	0.663887i
$533$	−35.3077	−	20.3849i	−1.52935	−	0.882969i
$534$	21.4463	−	23.2099i	0.928071	−	1.00439i
$535$	−2.46983	−	4.27788i	−0.106780	−	0.184949i
$536$	2.85737	+	3.89778i	0.123419	+	0.168359i
$537$	−29.7893	−	7.88164i	−1.28550	−	0.340118i
$538$	5.77654	−	10.9014i	0.249044	−	0.469994i
$539$		−	3.56761i		−	0.153668i
$540$	−9.78383	+	3.50381i	−0.421029	+	0.150780i
$541$			11.3797i			0.489250i	0.969618	+	0.244625i	$0.0786649\pi$
$541$			11.3797i			0.489250i	−0.969618	+	0.244625i	$0.921335\pi$
$542$	−10.1931	−	5.40121i	−0.437831	−	0.232002i
$543$	15.4711	+	4.09333i	0.663927	+	0.175662i
$544$	11.2406	−	9.56883i	0.481935	−	0.410260i
$545$	−4.91904	−	8.52003i	−0.210709	−	0.364958i
$546$	−39.2173	−	36.2373i	−1.67834	−	1.55081i
$547$	−27.2507	−	15.7332i	−1.16516	−	0.672704i	−0.212623	−	0.977134i	$-0.568201\pi$
$547$	−27.2507	−	15.7332i	−1.16516	−	0.672704i	−0.952535	+	0.304430i	$0.901534\pi$
$548$	−22.0819	+	1.60718i	−0.943294	+	0.0686553i
$549$	−21.1864	−	36.1684i	−0.904213	−	1.54363i
$550$	−0.522460	+	0.0189879i	−0.0222778	+	0.000809645i
$551$	1.20225	−	2.08236i	0.0512176	−	0.0887114i
$552$	15.7928	+	40.2479i	0.672187	+	1.71307i
$553$	20.5834	+	35.6514i	0.875294	+	1.51605i
$554$	−16.0013	−	25.5266i	−0.679828	−	1.08452i
$555$	−5.08193	+	1.37885i	−0.215716	+	0.0585290i
$556$	−25.9390	−	12.5602i	−1.10006	−	0.532671i
$557$		−	9.00129i		−	0.381397i	−0.981649	−	0.190699i	$-0.938925\pi$
$557$		−	9.00129i		−	0.381397i	0.981649	−	0.190699i	$-0.0610753\pi$
$558$	−8.13292	+	15.5846i	−0.344294	+	0.659749i
$559$	23.4845			0.993287
$560$	−15.1680	−	6.02825i	−0.640966	−	0.254740i
$561$	−1.17778	+	1.18522i	−0.0497261	+	0.0500400i
$562$	20.5754	−	12.8976i	0.867922	−	0.544054i
$563$	−20.7439	+	11.9765i	−0.874251	+	0.504749i	−0.868759	−	0.495236i	$-0.835082\pi$
$563$	−20.7439	+	11.9765i	−0.874251	+	0.504749i	−0.00549239	+	0.999985i	$0.501748\pi$
$564$	−1.13038	+	6.00711i	−0.0475976	+	0.252945i
$565$	14.0466	+	8.10981i	0.590945	+	0.341182i
$566$	11.5434	−	0.419524i	0.485205	−	0.0176339i
$567$	36.7217	−	0.462181i	1.54217	−	0.0194098i
$568$	−2.64359	−	24.1611i	−0.110923	−	1.01378i
$569$	−13.4946	+	23.3734i	−0.565724	+	0.979863i	0.431258	+	0.902229i	$0.358070\pi$
$569$	−13.4946	+	23.3734i	−0.565724	+	0.979863i	−0.996982	+	0.0776341i	$0.975263\pi$
$570$	−4.49475	−	1.01610i	−0.188264	−	0.0425596i
$571$	−5.95950	+	3.44072i	−0.249397	+	0.143990i	−0.619488	−	0.785006i	$-0.712660\pi$
$571$	−5.95950	+	3.44072i	−0.249397	+	0.143990i	0.370091	+	0.928996i	$0.379327\pi$
$572$	2.21799	+	3.26823i	0.0927386	+	0.136652i
$573$	−12.7269	−	12.6471i	−0.531675	−	0.528340i
$574$	38.9146	+	20.6204i	1.62426	+	0.860679i
$575$	8.82541			0.368045
$576$	22.9327	+	7.07742i	0.955530	+	0.294892i
$577$	−22.2291			−0.925410			−0.462705	−	0.886512i	$-0.653121\pi$
$577$	−22.2291			−0.925410			−0.462705	+	0.886512i	$0.653121\pi$
$578$	12.7339	+	6.74755i	0.529660	+	0.280661i
$579$	−22.9008	+	6.21354i	−0.951724	+	0.258226i
$580$	1.43545	+	2.11515i	0.0596037	+	0.0878269i
$581$	−5.55338	+	3.20625i	−0.230393	+	0.133017i
$582$	−0.0654286	−	0.210563i	−0.00271210	−	0.00872813i
$583$	1.86008	−	3.22176i	0.0770368	−	0.133432i
$584$	3.67105	+	33.5515i	0.151909	+	1.38837i
$585$	13.8287	−	8.10045i	0.571746	−	0.334912i
$586$	12.7602	−	0.463747i	0.527120	−	0.0191572i
$587$	−25.9524	−	14.9836i	−1.07117	−	0.618440i	−0.142668	−	0.989771i	$-0.545568\pi$
$587$	−25.9524	−	14.9836i	−1.07117	−	0.618440i	−0.928501	+	0.371331i	$0.878902\pi$
$588$	25.3612	+	21.7810i	1.04588	+	0.898231i
$589$	−6.75062	+	3.89747i	−0.278155	+	0.160593i
$590$	2.70314	−	1.69445i	0.111286	−	0.0697594i
$591$	23.6282	+	6.25155i	0.971935	+	0.257154i
$592$	11.3008	+	4.49128i	0.464459	+	0.184590i
$593$	−13.8975			−0.570700			−0.285350	−	0.958423i	$-0.592110\pi$
$593$	−13.8975			−0.570700			−0.285350	+	0.958423i	$0.592110\pi$
$594$	−2.65343	−	0.582316i	−0.108871	−	0.0238927i
$595$			10.6483i			0.436538i
$596$	22.7341	+	11.0083i	0.931226	+	0.450918i
$597$	8.04375	−	30.4020i	0.329209	−	1.24427i
$598$	−35.4131	−	56.4940i	−1.44815	−	2.31021i
$599$	−0.252190	−	0.436806i	−0.0103042	−	0.0178474i	0.860827	−	0.508897i	$-0.169947\pi$
$599$	−0.252190	−	0.436806i	−0.0103042	−	0.0178474i	−0.871132	+	0.491050i	$0.836613\pi$
$600$	3.05474	−	3.82996i	0.124709	−	0.156357i
$601$	11.0731	−	19.1791i	0.451680	−	0.782333i	−0.546811	−	0.837256i	$-0.684158\pi$
$601$	11.0731	−	19.1791i	0.451680	−	0.782333i	0.998491	+	0.0549238i	$0.0174916\pi$
$602$	−25.3516	+	0.921357i	−1.03325	+	0.0375517i
$603$	5.12600	−	0.0322568i	0.208747	−	0.00131360i
$604$	24.6590	−	1.79475i	1.00336	−	0.0730272i
$605$	9.40793	+	5.43167i	0.382487	+	0.220829i
$606$	−12.7020	+	3.94690i	−0.515982	+	0.160332i
$607$	22.0621	+	38.2126i	0.895471	+	1.55100i	0.833220	+	0.552941i	$0.186494\pi$
$607$	22.0621	+	38.2126i	0.895471	+	1.55100i	0.0622507	+	0.998061i	$0.480172\pi$
$608$	6.89835	+	8.10354i	0.279765	+	0.328642i
$609$	−2.36544	−	8.71811i	−0.0958523	−	0.353276i
$610$	17.4600	+	9.25184i	0.706934	+	0.374596i
$611$		−	9.42649i		−	0.381355i
$612$	−1.23482	−	15.6086i	−0.0499145	−	0.630938i
$613$		−	17.3208i		−	0.699579i	−0.936828	−	0.349789i	$-0.886253\pi$
$613$		−	17.3208i		−	0.699579i	0.936828	−	0.349789i	$-0.113747\pi$
$614$	16.3828	−	30.9175i	0.661158	−	1.24773i
$615$	−9.31742	+	9.37623i	−0.375715	+	0.378086i
$616$	−2.52255	−	3.44105i	−0.101636	−	0.138644i
$617$	−6.92480	−	11.9941i	−0.278782	−	0.482864i	0.692300	−	0.721609i	$-0.256597\pi$
$617$	−6.92480	−	11.9941i	−0.278782	−	0.482864i	−0.971082	+	0.238745i	$0.923264\pi$
$618$	−39.2566	−	8.87446i	−1.57913	−	0.356983i
$619$	2.47292	+	1.42774i	0.0993952	+	0.0573858i	0.548874	−	0.835905i	$-0.315057\pi$
$619$	2.47292	+	1.42774i	0.0993952	+	0.0573858i	−0.449478	+	0.893291i	$0.648390\pi$
$620$	−0.601548	−	8.26500i	−0.0241587	−	0.331931i
$621$	44.4056	+	11.4503i	1.78194	+	0.459486i
$622$	1.18058	+	32.4843i	0.0473370	+	1.30250i
$623$	26.3217	−	45.5905i	1.05456	−	1.82655i
$624$	−36.7742	−	4.18609i	−1.47215	−	0.167578i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	33.6573	−	21.0979i	1.34522	−	0.843244i
$627$	−0.854447	−	0.849087i	−0.0341233	−	0.0339093i
$628$	−23.3582	−	11.3105i	−0.932094	−	0.451339i
$629$		−	7.93340i		−	0.316325i
$630$	−14.6103	+	9.28701i	−0.582089	+	0.370003i
$631$	−2.51505			−0.100122			−0.0500612	−	0.998746i	$-0.515942\pi$
$631$	−2.51505			−0.100122			−0.0500612	+	0.998746i	$0.515942\pi$
$632$	26.1172	+	11.4950i	1.03889	+	0.457247i
$633$	−11.8003	−	43.4915i	−0.469020	−	1.72863i
$634$	20.2420	+	32.2919i	0.803914	+	1.28247i
$635$	−7.86839	+	4.54281i	−0.312247	+	0.180276i
$636$	11.5465	+	32.8923i	0.457848	+	1.30426i
$637$	−44.6480	−	25.7775i	−1.76902	−	1.02134i
$638$	0.0242688	+	0.667767i	0.000960810	+	0.0264372i
$639$	−22.4065	−	12.7491i	−0.886389	−	0.504347i
$640$	−10.9499	+	2.84606i	−0.432832	+	0.112500i
$641$	3.00957	−	5.21272i	0.118871	−	0.205890i	−0.800450	−	0.599400i	$-0.795406\pi$
$641$	3.00957	−	5.21272i	0.118871	−	0.205890i	0.919320	+	0.393510i	$0.128739\pi$
$642$	8.88673	+	8.21145i	0.350731	+	0.324080i
$643$	14.8943	−	8.59924i	0.587374	−	0.339121i	−0.176684	−	0.984268i	$-0.556537\pi$
$643$	14.8943	−	8.59924i	0.587374	−	0.339121i	0.764059	+	0.645147i	$0.223204\pi$
$644$	40.4450	+	59.5962i	1.59376	+	2.34842i
$645$	1.94754	−	7.36089i	0.0766844	−	0.289835i
$646$	3.25073	−	6.13474i	0.127898	−	0.241368i
$647$	−42.0612			−1.65359			−0.826797	−	0.562500i	$-0.809840\pi$
$647$	−42.0612			−1.65359			−0.826797	+	0.562500i	$0.809840\pi$
$648$	20.3392	−	15.3074i	0.799000	−	0.601331i
$649$	0.833956			0.0327356
$650$	−3.53737	+	6.67569i	−0.138747	+	0.261842i
$651$	−7.49031	+	28.3102i	−0.293568	+	1.10956i
$652$	32.8614	−	22.3014i	1.28695	−	0.873391i
$653$	6.29892	−	3.63668i	0.246496	−	0.142314i	−0.371663	−	0.928368i	$-0.621212\pi$
$653$	6.29892	−	3.63668i	0.246496	−	0.142314i	0.618159	+	0.786053i	$0.287879\pi$
$654$	17.6992	+	16.3543i	0.692095	+	0.639505i
$655$	9.20657	−	15.9462i	0.359730	−	0.623071i
$656$	30.2050	−	4.42021i	1.17931	−	0.172580i
$657$	31.1150	+	17.7041i	1.21391	+	0.690704i
$658$	0.369826	+	10.1759i	0.0144173	+	0.396699i
$659$	−29.9779	−	17.3077i	−1.16777	−	0.674214i	−0.214619	−	0.976698i	$-0.568851\pi$
$659$	−29.9779	−	17.3077i	−1.16777	−	0.674214i	−0.953155	+	0.302484i	$0.902184\pi$
$660$	1.20832	−	0.424167i	0.0470337	−	0.0165107i
$661$	−24.1531	+	13.9448i	−0.939445	+	0.542389i	−0.889786	−	0.456378i	$-0.849147\pi$
$661$	−24.1531	+	13.9448i	−0.939445	+	0.542389i	−0.0496585	+	0.998766i	$0.515813\pi$
$662$	−0.162299	−	0.258913i	−0.00630792	−	0.0100629i
$663$	6.32280	+	23.3035i	0.245557	+	0.905032i
$664$	−1.79056	+	4.06824i	−0.0694873	+	0.157878i
$665$	−7.67657			−0.297685
$666$	10.8853	−	6.91917i	0.421795	−	0.268113i
$667$		−	11.2799i		−	0.436761i
$668$	−11.7787	+	24.3250i	−0.455730	+	0.941162i
$669$	−2.34103	−	2.32634i	−0.0905094	−	0.0899417i
$670$	−2.04746	+	1.28344i	−0.0791003	+	0.0495837i
$671$	2.58262	+	4.47323i	0.0997010	+	0.172687i
$672$	39.8622	+	3.07615i	1.53772	+	0.118665i
$673$	22.2270	−	38.4983i	0.856789	−	1.48400i	−0.0181861	−	0.999835i	$-0.505789\pi$
$673$	22.2270	−	38.4983i	0.856789	−	1.48400i	0.874975	−	0.484168i	$-0.160878\pi$
$674$	−0.101982	−	2.80609i	−0.00392820	−	0.108086i
$675$	−1.39218	−	5.00618i	−0.0535850	−	0.192688i
$676$	30.9958	−	2.25595i	1.19215	−	0.0867674i
$677$	9.50348	+	5.48684i	0.365248	+	0.210876i	0.671381	−	0.741113i	$-0.265702\pi$
$677$	9.50348	+	5.48684i	0.365248	+	0.210876i	−0.306132	+	0.951989i	$0.599035\pi$
$678$	−38.7519	−	8.76037i	−1.48826	−	0.336440i
$679$	−0.183657	−	0.318103i	−0.00704809	−	0.0122077i
$680$	4.36381	+	5.95276i	0.167345	+	0.228278i
$681$	−22.4590	+	22.6008i	−0.860632	+	0.866064i
$682$	1.01425	−	1.91409i	0.0388378	−	0.0732943i
$683$		−	28.5694i		−	1.09318i	−0.837401	−	0.546589i	$-0.815926\pi$
$683$		−	28.5694i		−	1.09318i	0.837401	−	0.546589i	$-0.184074\pi$
$684$	11.2525	−	0.890203i	0.430250	−	0.0340378i
$685$		−	11.0702i		−	0.422970i
$686$	13.5155	+	7.16169i	0.516023	+	0.273435i
$687$	−5.00037	−	18.4295i	−0.190776	−	0.703129i
$688$	−13.7948	+	10.9045i	−0.525921	+	0.415729i
$689$	−26.8798	−	46.5572i	−1.02404	−	1.77369i
$690$	−20.6441	+	6.41476i	−0.785906	+	0.244206i
$691$	23.0851	+	13.3282i	0.878197	+	0.507027i	0.870063	−	0.492940i	$-0.164078\pi$
$691$	23.0851	+	13.3282i	0.878197	+	0.507027i	0.00813334	+	0.999967i	$0.497411\pi$
$692$	−0.752228	−	10.3353i	−0.0285954	−	0.392889i
$693$	−4.52535	+	0.0284770i	−0.171904	+	0.00108175i
$694$	−17.1907	+	0.624763i	−0.652549	+	0.0237157i
$695$	7.20500	−	12.4794i	0.273301	−	0.473371i
$696$	−4.89515	−	3.90433i	−0.185550	−	0.147993i
$697$	−9.95765	−	17.2472i	−0.377173	−	0.653283i
$698$	20.5270	+	32.7464i	0.776957	+	1.23947i
$699$	7.47769	−	28.2625i	0.282832	−	1.06899i
$700$	3.55670	−	7.34521i	0.134431	−	0.277623i
$701$		−	6.86083i		−	0.259130i	−0.991571	−	0.129565i	$-0.958642\pi$
$701$		−	6.86083i		−	0.259130i	0.991571	−	0.129565i	$-0.0413581\pi$
$702$	−26.4597	+	28.9997i	−0.998659	+	1.09452i
$703$	5.71934			0.215709
$704$	−2.82037	−	0.889889i	−0.106297	−	0.0335390i
$705$	−2.95461	−	0.781729i	−0.111277	−	0.0294416i
$706$	8.23447	−	5.16175i	0.309908	−	0.194265i
$707$	−19.1891	+	11.0789i	−0.721682	+	0.416663i
$708$	−5.09146	+	5.92838i	−0.191349	+	0.222802i
$709$	5.70057	+	3.29122i	0.214089	+	0.123605i	0.603210	−	0.797582i	$-0.293888\pi$
$709$	5.70057	+	3.29122i	0.214089	+	0.123605i	−0.389121	+	0.921187i	$0.627221\pi$
$710$	12.1446	−	0.441375i	0.455780	−	0.0165645i
$711$	26.1153	−	15.2976i	0.979399	−	0.573704i
$712$	−3.96888	−	36.2736i	−0.148740	−	1.35941i
$713$	−18.2837	+	31.6684i	−0.684732	+	1.18599i
$714$	−7.73975	−	24.9081i	−0.289653	−	0.932164i
$715$	−1.71031	+	0.987446i	−0.0639618	+	0.0369284i
$716$	−29.4416	+	19.9805i	−1.10028	+	0.746708i
$717$	17.2310	−	4.67519i	0.643503	−	0.174598i
$718$	0.638171	+	0.338160i	0.0238163	+	0.0126200i
$719$	6.63542			0.247460			0.123730	−	0.992316i	$-0.460514\pi$
$719$	6.63542			0.247460			0.123730	+	0.992316i	$0.460514\pi$
$720$	−4.36172	+	11.1792i	−0.162552	+	0.416626i
$721$	−67.0463			−2.49693
$722$	−19.3201	−	10.2375i	−0.719019	−	0.381000i
$723$	−6.15713	−	6.11850i	−0.228986	−	0.227550i
$724$	15.2905	−	10.3769i	0.568267	−	0.385654i
$725$	−1.10689	+	0.639061i	−0.0411087	+	0.0237341i
$726$	−25.9547	−	5.86739i	−0.963269	−	0.217759i
$727$	−18.9981	+	32.9056i	−0.704600	+	1.22040i	0.262236	+	0.965004i	$0.415540\pi$
$727$	−18.9981	+	32.9056i	−0.704600	+	1.22040i	−0.966836	+	0.255399i	$0.917793\pi$
$728$	−61.2906	+	6.70612i	−2.27158	+	0.248545i
$729$	−0.509678	−	26.9952i	−0.0188770	−	0.999822i
$730$	−16.8648	+	0.612919i	−0.624193	+	0.0226851i
$731$	9.93479	+	5.73585i	0.367452	+	0.212148i
$732$	−47.5665	−	8.95076i	−1.75811	−	0.330829i
$733$	23.1471	−	13.3640i	0.854957	−	0.493609i	−0.00736353	−	0.999973i	$-0.502344\pi$
$733$	23.1471	−	13.3640i	0.854957	−	0.493609i	0.862320	+	0.506363i	$0.169011\pi$
$734$	−2.75590	+	1.72753i	−0.101722	+	0.0637642i
$735$	−11.7822	+	11.8566i	−0.434594	+	0.437338i
$736$	47.0334	+	16.7414i	1.73367	+	0.617095i
$737$	−0.631671			−0.0232679
$738$	14.9798	−	28.7049i	0.551415	−	1.05664i
$739$			34.7551i			1.27849i	0.769004	+	0.639243i	$0.220752\pi$
$739$			34.7551i			1.27849i	−0.769004	+	0.639243i	$0.779248\pi$
$740$	−2.64988	+	5.47246i	−0.0974115	+	0.201172i
$741$	−16.7999	+	4.55823i	−0.617161	+	0.167451i
$742$	30.8434	+	49.2041i	1.13230	+	1.80634i
$743$	22.2636	+	38.5617i	0.816773	+	1.41469i	0.908048	+	0.418867i	$0.137573\pi$
$743$	22.2636	+	38.5617i	0.816773	+	1.41469i	−0.0912747	+	0.995826i	$0.529094\pi$
$744$	7.41455	+	18.8960i	0.271831	+	0.692760i
$745$	−6.31478	+	10.9375i	−0.231356	+	0.400720i
$746$	−18.0603	+	0.656370i	−0.661236	+	0.0240314i
$747$	2.38288	+	4.06794i	0.0871852	+	0.148838i
$748$	0.140056	+	1.92430i	0.00512094	+	0.0703595i
$749$	17.4559	+	10.0782i	0.637826	+	0.368249i
$750$	1.79905	+	1.66235i	0.0656922	+	0.0607004i
$751$	6.94636	+	12.0314i	0.253476	+	0.439034i	0.964481	−	0.264154i	$-0.0850927\pi$
$751$	6.94636	+	12.0314i	0.253476	+	0.439034i	−0.711004	+	0.703188i	$0.751759\pi$
$752$	4.37697	+	5.53712i	0.159612	+	0.201918i
$753$	2.03464	+	0.538324i	0.0741464	+	0.0196176i
$754$	8.53234	+	4.52119i	0.310729	+	0.164652i
$755$			12.3621i			0.449904i
$756$	27.4257	−	32.3434i	0.997462	−	1.17632i
$757$		−	44.0570i		−	1.60128i	−0.599145	−	0.800640i	$-0.704493\pi$
$757$		−	44.0570i		−	1.60128i	0.599145	−	0.800640i	$-0.295507\pi$
$758$	−5.45615	+	10.2968i	−0.198176	+	0.373996i
$759$	−5.46296	−	1.44539i	−0.198293	−	0.0524642i
$760$	−4.29146	+	3.14596i	−0.155667	+	0.114116i
$761$	15.2569	+	26.4257i	0.553062	+	0.957932i	0.998051	+	0.0623957i	$0.0198741\pi$
$761$	15.2569	+	26.4257i	0.553062	+	0.957932i	−0.444989	+	0.895536i	$0.646793\pi$
$762$	15.1035	−	16.3455i	0.547142	−	0.592136i
$763$	34.7661	+	20.0722i	1.25862	+	0.726663i
$764$	−20.6633	+	1.50392i	−0.747570	+	0.0544100i
$765$	7.82851	−	0.0492630i	0.283040	−	0.00178111i
$766$	−0.262215	−	7.21496i	−0.00947420	−	0.260687i
$767$	6.02569	−	10.4368i	0.217575	−	0.376851i
$768$	23.5449	−	14.6163i	0.849603	−	0.527422i
$769$	−16.8187	−	29.1308i	−0.606498	−	1.05049i	−0.991813	−	0.127700i	$-0.959241\pi$
$769$	−16.8187	−	29.1308i	−0.606498	−	1.05049i	0.385315	−	0.922785i	$-0.374093\pi$
$770$	1.80754	−	1.13305i	0.0651393	−	0.0408323i
$771$	−28.2199	+	7.65674i	−1.01631	+	0.275751i
$772$	−11.9412	+	24.6606i	−0.429772	+	0.887555i
$773$			31.3456i			1.12742i	0.825972	+	0.563712i	$0.190627\pi$
$773$			31.3456i			1.12742i	−0.825972	+	0.563712i	$0.809373\pi$
$774$	0.794656	+	18.6339i	0.0285633	+	0.669781i
$775$	4.14343			0.148837
$776$	−0.233033	−	0.102565i	−0.00836538	−	0.00368187i
$777$	15.1455	−	15.2411i	0.543340	−	0.546770i
$778$	−12.2985	−	19.6196i	−0.440922	−	0.703397i
$779$	12.4338	−	7.17866i	0.445487	−	0.257202i
$780$	3.42225	−	18.1867i	0.122536	−	0.651187i
$781$	2.75113	+	1.58837i	0.0984433	+	0.0568363i
$782$	−1.18291	−	32.5484i	−0.0423008	−	1.16393i
$783$	−6.39850	+	1.77937i	−0.228664	+	0.0635896i
$784$	38.1955	−	5.58953i	1.36412	−	0.199626i
$785$	6.48813	−	11.2378i	0.231571	−	0.401093i
$786$	−9.94511	+	43.9927i	−0.354730	+	1.56917i
$787$	−22.3487	+	12.9030i	−0.796646	+	0.459944i	−0.842297	−	0.539014i	$-0.818797\pi$
$787$	−22.3487	+	12.9030i	−0.796646	+	0.459944i	0.0456513	+	0.998957i	$0.485464\pi$
$788$	23.3524	−	15.8481i	0.831896	−	0.564566i
$789$	16.5296	+	16.4259i	0.588468	+	0.584776i
$790$	−6.68027	+	12.6069i	−0.237673	+	0.448534i
$791$	−66.1843			−2.35324
$792$	−2.51815	+	1.87046i	−0.0894785	+	0.0664640i
$793$	74.6423			2.65062
$794$	0.123702	−	0.233450i	0.00439003	−	0.00828481i
$795$	−16.8218	+	4.56418i	−0.596610	+	0.161875i
$796$	−20.3915	−	30.0471i	−0.722758	−	1.06499i
$797$	−18.8953	+	10.9092i	−0.669307	+	0.386424i	−0.795814	−	0.605541i	$-0.792957\pi$
$797$	−18.8953	+	10.9092i	−0.669307	+	0.386424i	0.126507	+	0.991966i	$0.459623\pi$
$798$	17.9568	−	5.57973i	0.635662	−	0.197520i
$799$	2.30233	−	3.98775i	0.0814506	−	0.141077i
$800$	−1.02185	−	5.56380i	−0.0361278	−	0.196710i
$801$	−33.6394	−	19.1405i	−1.18859	−	0.676296i
$802$	0.483363	+	13.3000i	0.0170681	+	0.469638i
$803$	−3.82038	−	2.20570i	−0.134818	−	0.0778374i
$804$	3.85647	−	4.49038i	0.136007	−	0.158364i
$805$	−31.1875	+	18.0061i	−1.09921	+	0.634631i
$806$	−16.6261	−	26.5233i	−0.585628	−	0.934245i
$807$	−14.6074	−	3.86483i	−0.514206	−	0.136049i
$808$	−6.18710	+	14.0574i	−0.217662	+	0.494537i
$809$	0.650891			0.0228841			0.0114421	−	0.999935i	$-0.496358\pi$
$809$	0.650891			0.0228841			0.0114421	+	0.999935i	$0.496358\pi$
$810$	6.89528	+	10.6984i	0.242276	+	0.375902i
$811$		−	8.64169i		−	0.303451i	−0.988423	−	0.151725i	$-0.951517\pi$
$811$		−	8.64169i		−	0.303451i	0.988423	−	0.151725i	$-0.0484829\pi$
$812$	−9.38807	−	4.54590i	−0.329457	−	0.159530i
$813$	−3.61372	+	13.6583i	−0.126739	+	0.479018i
$814$	−1.34669	+	0.844167i	−0.0472014	+	0.0295880i
$815$	9.92858	+	17.1968i	0.347783	+	0.602378i
$816$	−14.5344	−	10.7526i	−0.508807	−	0.376417i
$817$	−4.13509	+	7.16218i	−0.144668	+	0.250573i
$818$	−0.938979	−	25.8364i	−0.0328306	−	0.903350i
$819$	−32.3412	+	56.8396i	−1.13009	+	1.98614i
$820$	1.10798	+	15.2231i	0.0386922	+	0.531614i
$821$	−30.1278	−	17.3943i	−1.05147	−	0.607065i	−0.128407	−	0.991722i	$-0.540986\pi$
$821$	−30.1278	−	17.3943i	−1.05147	−	0.607065i	−0.923060	+	0.384657i	$0.874320\pi$
$822$	8.04638	+	25.8950i	0.280650	+	0.903191i
$823$	16.6190	+	28.7850i	0.579304	+	1.00338i	0.995559	+	0.0941356i	$0.0300087\pi$
$823$	16.6190	+	28.7850i	0.579304	+	1.00338i	−0.416256	+	0.909248i	$0.636658\pi$
$824$	−37.4811	+	27.4764i	−1.30571	+	0.957186i
$825$	0.167668	+	0.617960i	0.00583744	+	0.0215146i
$826$	−6.09530	+	11.5030i	−0.212083	+	0.400240i
$827$		−	31.7824i		−	1.10518i	−0.833452	−	0.552592i	$-0.813639\pi$
$827$		−	31.7824i		−	1.10518i	0.833452	−	0.552592i	$-0.186361\pi$
$828$	43.6273	−	30.0104i	1.51615	−	1.04293i
$829$		−	34.9590i		−	1.21418i	−0.794635	−	0.607088i	$-0.792338\pi$
$829$		−	34.9590i		−	1.21418i	0.794635	−	0.607088i	$-0.207662\pi$
$830$	−1.96377	−	1.04058i	−0.0681633	−	0.0361190i
$831$	−26.0087	+	26.1729i	−0.902232	+	0.907927i
$832$	−31.5152	+	28.8666i	−1.09259	+	1.00077i
$833$	−12.5918	−	21.8097i	−0.436281	−	0.755661i
$834$	−7.78297	+	34.4284i	−0.269502	+	1.19216i
$835$	−11.7029	−	6.75667i	−0.404995	−	0.233824i
$836$	−1.38727	+	0.100969i	−0.0479796	+	0.00349208i
$837$	20.8480	+	5.37581i	0.720611	+	0.185815i
$838$	−11.1629	+	0.405696i	−0.385617	+	0.0140145i
$839$	−10.4075	+	18.0263i	−0.359305	+	0.622335i	−0.987845	−	0.155442i	$-0.950320\pi$
$839$	−10.4075	+	18.0263i	−0.359305	+	0.622335i	0.628539	+	0.777778i	$0.283653\pi$
$840$	−2.98082	+	19.7668i	−0.102848	+	0.682021i
$841$	−13.6832	−	23.7000i	−0.471835	−	0.817241i
$842$	−23.1793	−	36.9776i	−0.798810	−	1.27433i
$843$	−21.0963	−	20.9640i	−0.726597	−	0.722039i
$844$	−46.8337	−	22.6778i	−1.61208	−	0.780603i
$845$			15.5389i			0.534554i
$846$	7.47951	−	0.318969i	0.257151	−	0.0109664i
$847$	−44.3280			−1.52313
$848$	37.4070	+	14.8667i	1.28456	+	0.510525i
$849$	−3.70450	−	13.6534i	−0.127138	−	0.468584i
$850$	−3.12691	+	1.96009i	−0.107252	+	0.0672306i
$851$	23.2358	−	13.4152i	0.796515	−	0.459868i
$852$	−28.0875	+	9.85981i	−0.962262	+	0.337791i
$853$	−21.0687	−	12.1640i	−0.721378	−	0.416488i	0.0938817	−	0.995583i	$-0.470072\pi$
$853$	−21.0687	−	12.1640i	−0.721378	−	0.416488i	−0.815260	+	0.579096i	$0.803406\pi$
$854$	−80.5766	+	2.92841i	−2.75728	+	0.100208i
$855$	0.0355147	+	5.64372i	0.00121458	+	0.193011i
$856$	13.8886	−	1.51962i	0.474703	−	0.0519396i
$857$	−15.9593	+	27.6423i	−0.545159	+	0.944243i	0.453438	+	0.891288i	$0.350197\pi$
$857$	−15.9593	+	27.6423i	−0.545159	+	0.944243i	−0.998597	+	0.0529552i	$0.983136\pi$
$858$	3.28296	−	3.55294i	0.112078	−	0.121295i
$859$	−25.3361	+	14.6278i	−0.864458	+	0.499095i	−0.865502	−	0.500905i	$-0.833001\pi$
$859$	−25.3361	+	14.6278i	−0.864458	+	0.499095i	0.00104493	+	0.999999i	$0.499667\pi$
$860$	−4.93716	−	7.27497i	−0.168356	−	0.248074i
$861$	13.7962	−	52.1439i	0.470174	−	1.77706i
$862$	32.8087	+	17.3850i	1.11747	+	0.592134i
$863$	56.1769			1.91228			0.956142	−	0.292904i	$-0.0946217\pi$
$863$	56.1769			1.91228			0.956142	+	0.292904i	$0.0946217\pi$
$864$	2.07713	−	29.3204i	0.0706654	−	0.997500i
$865$	5.18131			0.176170
$866$	−12.1442	−	6.43505i	−0.412675	−	0.218672i
$867$	4.51449	−	17.0629i	0.153320	−	0.579486i
$868$	18.9885	+	27.9798i	0.644511	+	0.949695i
$869$	−3.22989	+	1.86478i	−0.109566	+	0.0632582i
$870$	2.12468	−	2.29941i	0.0720335	−	0.0779573i
$871$	−4.56409	+	7.90524i	−0.154648	+	0.267859i
$872$	27.6612	−	3.02656i	0.936727	−	0.102492i
$873$	−0.233015	+	0.136494i	−0.00788638	+	0.00461961i
$874$	23.4648	−	0.852784i	0.793707	−	0.0288458i
$875$	3.53383	+	2.04026i	0.119465	+	0.0689732i
$876$	39.0039	−	13.6919i	1.31782	−	0.462606i
$877$	12.8329	−	7.40909i	0.433337	−	0.250187i	−0.267430	−	0.963577i	$-0.586175\pi$
$877$	12.8329	−	7.40909i	0.433337	−	0.250187i	0.700767	+	0.713390i	$0.252841\pi$
$878$	−23.1686	+	14.5232i	−0.781903	+	0.490133i
$879$	−4.09501	−	15.0927i	−0.138121	−	0.509063i
$880$	0.546137	−	1.37417i	0.0184103	−	0.0463232i
$881$	46.2780			1.55915			0.779573	−	0.626311i	$-0.215436\pi$
$881$	46.2780			1.55915			0.779573	+	0.626311i	$0.215436\pi$
$882$	18.9426	−	36.2985i	0.637830	−	1.22223i
$883$			7.99121i			0.268926i	0.990919	+	0.134463i	$0.0429309\pi$
$883$			7.99121i			0.268926i	−0.990919	+	0.134463i	$0.957069\pi$
$884$	25.0943	+	12.1512i	0.844012	+	0.408688i
$885$	−2.77157	−	2.75419i	−0.0931654	−	0.0925810i
$886$	12.5974	+	20.0965i	0.423218	+	0.675155i
$887$	5.27185	+	9.13111i	0.177011	+	0.306593i	0.940855	−	0.338808i	$-0.110024\pi$
$887$	5.27185	+	9.13111i	0.177011	+	0.306593i	−0.763844	+	0.645401i	$0.776690\pi$
$888$	2.22083	−	14.7271i	0.0745261	−	0.494208i
$889$	18.5370	−	32.1070i	0.621711	−	1.07684i
$890$	18.2330	−	0.662645i	0.611171	−	0.0222119i
$891$	0.0418719	+	3.32685i	0.00140276	+	0.111454i
$892$	−3.80086	+	0.276636i	−0.127262	+	0.00926246i
$893$	2.87485	+	1.65979i	0.0962031	+	0.0555429i
$894$	6.82135	−	30.1746i	0.228140	−	1.00919i
$895$	−8.89533	−	15.4072i	−0.297338	−	0.515004i
$896$	32.8883	−	32.3980i	1.09872	−	1.08234i
$897$	−57.5610	+	57.9243i	−1.92191	+	1.93404i
$898$	−13.7845	−	7.30423i	−0.459993	−	0.243745i
$899$		−	5.29581i		−	0.176625i
$900$	−5.41656	−	2.58086i	−0.180552	−	0.0860287i
$901$		−	26.2606i		−	0.874866i
$902$	−1.86813	+	3.52552i	−0.0622019	+	0.117387i
$903$	8.13581	+	29.9856i	0.270743	+	0.997857i
$904$	−36.9992	+	27.1232i	−1.23058	+	0.902103i
$905$	4.61979	+	8.00171i	0.153567	+	0.265986i
$906$	−8.98544	−	28.9170i	−0.298521	−	0.960704i
$907$	24.4462	+	14.1140i	0.811721	+	0.468648i	0.847553	−	0.530710i	$-0.178075\pi$
$907$	24.4462	+	14.1140i	0.811721	+	0.468648i	−0.0358320	+	0.999358i	$0.511408\pi$
$908$	2.67070	+	36.6943i	0.0886304	+	1.21774i
$909$	8.23381	+	14.0564i	0.273098	+	0.466220i
$910$	−1.11966	−	30.8079i	−0.0371162	−	1.02127i
$911$	1.38749	−	2.40320i	0.0459695	−	0.0796215i	−0.842125	−	0.539282i	$-0.818696\pi$
$911$	1.38749	−	2.40320i	0.0459695	−	0.0796215i	0.888095	+	0.459661i	$0.152029\pi$
$912$	7.75177	−	10.4782i	0.256687	−	0.346967i
$913$	−0.290474	−	0.503115i	−0.00961328	−	0.0166507i
$914$	−23.0423	+	14.4440i	−0.762173	+	0.477765i
$915$	6.19001	−	23.3956i	0.204635	−	0.773435i
$916$	−19.8457	−	9.60971i	−0.655722	−	0.317514i
$917$			75.1350i			2.48118i
$918$	−18.2763	+	5.80540i	−0.603209	+	0.191607i
$919$	35.7713			1.17999			0.589994	−	0.807408i	$-0.299130\pi$
$919$	35.7713			1.17999			0.589994	+	0.807408i	$0.299130\pi$
$920$	−10.0557	+	22.8470i	−0.331526	+	0.753243i
$921$	−41.4282	−	10.9611i	−1.36510	−	0.361179i
$922$	−23.4230	−	37.3664i	−0.771394	−	1.23060i
$923$	39.7563	−	22.9533i	1.30859	−	0.755517i
$924$	−3.40458	+	3.96421i	−0.112002	+	0.130413i
$925$	−2.63284	−	1.52007i	−0.0865671	−	0.0499795i
$926$	1.49957	+	41.2615i	0.0492791	+	1.35594i
$927$	0.310181	+	49.2916i	0.0101877	+	1.61895i
$928$	−7.11121	+	1.30605i	−0.233437	+	0.0428730i
$929$	−5.98498	+	10.3663i	−0.196361	+	0.340107i	−0.947346	−	0.320213i	$-0.896246\pi$
$929$	−5.98498	+	10.3663i	−0.196361	+	0.340107i	0.750985	+	0.660319i	$0.229579\pi$
$930$	−9.69217	+	3.01166i	−0.317819	+	0.0987563i
$931$	15.7230	−	9.07770i	0.515302	−	0.297509i
$932$	−18.9565	−	27.9326i	−0.620940	−	0.914964i
$933$	38.4221	−	10.4248i	1.25788	−	0.341294i
$934$	5.23263	−	9.87496i	0.171217	−	0.323119i
$935$	−0.964697			−0.0315490
$936$	5.21381	+	45.0291i	0.170419	+	1.47182i
$937$	−9.78732			−0.319738			−0.159869	−	0.987138i	$-0.551107\pi$
$937$	−9.78732			−0.319738			−0.159869	+	0.987138i	$0.551107\pi$
$938$	4.61681	−	8.71280i	0.150744	−	0.284483i
$939$	−34.5094	−	34.2929i	−1.12617	−	1.11911i
$940$	−2.92012	+	1.98174i	−0.0952438	+	0.0646372i
$941$	−8.66132	+	5.00061i	−0.282351	+	0.163015i	−0.634487	−	0.772933i	$-0.718789\pi$
$941$	−8.66132	+	5.00061i	−0.282351	+	0.163015i	0.352136	+	0.935949i	$0.385455\pi$
$942$	−7.00860	+	31.0029i	−0.228353	+	1.01013i
$943$	33.6764	−	58.3292i	1.09665	−	1.89946i
$944$	1.30659	+	8.92847i	0.0425260	+	0.290597i
$945$	15.1336	+	14.8506i	0.492296	+	0.483089i
$946$	−0.0834714	−	2.29676i	−0.00271389	−	0.0746740i
$947$	26.4968	+	15.2979i	0.861031	+	0.497116i	0.864357	−	0.502878i	$-0.167726\pi$
$947$	26.4968	+	15.2979i	0.861031	+	0.497116i	−0.00332652	+	0.999994i	$0.501059\pi$
$948$	6.46287	−	34.3452i	0.209904	−	1.11548i
$949$	−55.2079	+	31.8743i	−1.79212	+	1.03468i
$950$	−1.41307	−	2.25425i	−0.0458460	−	0.0731375i
$951$	32.9017	−	33.1094i	1.06691	−	1.07365i
$952$	−27.5661	−	12.1327i	−0.893422	−	0.393223i
$953$	23.8769			0.773448			0.386724	−	0.922196i	$-0.373607\pi$
$953$	23.8769			0.773448			0.386724	+	0.922196i	$0.373607\pi$
$954$	36.0316	−	22.9033i	1.16657	−	0.741523i
$955$		−	10.3590i		−	0.335208i
$956$	8.98478	−	18.5551i	0.290588	−	0.600116i
$957$	0.789828	−	0.214300i	0.0255315	−	0.00692732i
$958$	16.1986	−	10.1540i	0.523353	−	0.328062i
$959$	22.5860	+	39.1201i	0.729340	+	1.26325i
$960$	6.43433	+	12.2719i	0.207667	+	0.396074i
$961$	6.91598	−	11.9788i	0.223096	−	0.386414i
$962$	0.834186	+	22.9530i	0.0268952	+	0.740035i
$963$	7.32860	−	12.8800i	0.236161	−	0.415052i
$964$	−9.99662	+	0.727579i	−0.321969	+	0.0234337i
$965$	−11.8644	−	6.84990i	−0.381928	−	0.220506i
$966$	59.8648	−	64.7878i	1.92612	−	2.08451i
$967$	−21.6620	−	37.5196i	−0.696601	−	1.20655i	−0.969638	−	0.244545i	$-0.921361\pi$
$967$	−21.6620	−	37.5196i	−0.696601	−	1.20655i	0.273036	−	0.962004i	$-0.411972\pi$
$968$	−24.7808	+	18.1662i	−0.796485	+	0.583882i
$969$	−8.22029	−	2.17492i	−0.264074	−	0.0698686i
$970$	0.0596052	−	0.112486i	0.00191381	−	0.00361172i
$971$		−	13.1135i		−	0.420831i	−0.977612	−	0.210416i	$-0.932518\pi$
$971$		−	13.1135i		−	0.420831i	0.977612	−	0.210416i	$-0.0674817\pi$
$972$	−23.9053	−	20.0134i	−0.766764	−	0.641929i
$973$			58.8001i			1.88505i
$974$	−13.0179	−	6.89803i	−0.417120	−	0.221027i
$975$	8.94513	+	2.36670i	0.286474	+	0.0757951i
$976$	−43.8449	+	34.6584i	−1.40344	+	1.10939i
$977$	2.21853	+	3.84260i	0.0709770	+	0.122936i	0.899330	−	0.437271i	$-0.144055\pi$
$977$	2.21853	+	3.84260i	0.0709770	+	0.122936i	−0.828353	+	0.560207i	$0.810722\pi$
$978$	−35.7241	−	33.0095i	−1.14233	−	1.05553i
$979$	4.13033	+	2.38465i	0.132006	+	0.0762137i
$980$	1.40108	+	19.2502i	0.0447558	+	0.614926i
$981$	14.5960	−	25.6524i	0.466014	−	0.819020i
$982$	−19.5282	+	0.709719i	−0.623171	+	0.0226480i
$983$	−4.89137	+	8.47211i	−0.156011	+	0.270218i	−0.933427	−	0.358769i	$-0.883197\pi$
$983$	−4.89137	+	8.47211i	−0.156011	+	0.270218i	0.777416	+	0.628987i	$0.216530\pi$
$984$	−13.6567	−	34.8040i	−0.435359	−	1.10951i
$985$	7.05558	+	12.2206i	0.224809	+	0.389381i
$986$	2.50524	+	3.99657i	0.0797830	+	0.127277i
$987$	12.0360	−	3.26566i	0.383110	−	0.103947i
$988$	−8.76000	+	18.0909i	−0.278693	+	0.575550i
$989$			38.7969i			1.23367i
$990$	−0.841368	−	1.32364i	−0.0267404	−	0.0420681i
$991$	7.98599			0.253683			0.126842	−	0.991923i	$-0.459516\pi$
$991$	7.98599			0.253683			0.126842	+	0.991923i	$0.459516\pi$
$992$	22.0817	+	7.85989i	0.701093	+	0.249552i
$993$	−0.263803	+	0.265468i	−0.00837153	+	0.00842437i
$994$	−42.0165	+	26.3379i	−1.33268	+	0.835388i
$995$	15.7241	−	9.07828i	0.498486	−	0.287801i
$996$	5.34991	+	1.00671i	0.169519	+	0.0318989i
$997$	−3.22357	−	1.86113i	−0.102091	−	0.0589425i	0.448085	−	0.893991i	$-0.352106\pi$
$997$	−3.22357	−	1.86113i	−0.102091	−	0.0589425i	−0.550176	+	0.835048i	$0.685440\pi$
$998$	−0.964848	+	0.0350657i	−0.0305417	+	0.00110998i
$999$	−11.2751	−	11.0642i	−0.356729	−	0.350057i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bf.b.61.7	✓	92
3.2	odd	2		1080.2.bf.b.181.40		92
4.3	odd	2		1440.2.bv.b.241.28		92
8.3	odd	2		1440.2.bv.b.241.19		92
8.5	even	2	inner	360.2.bf.b.61.37	yes	92
9.4	even	3	inner	360.2.bf.b.301.37	yes	92
9.5	odd	6		1080.2.bf.b.901.10		92
12.11	even	2		4320.2.bv.b.721.41		92
24.5	odd	2		1080.2.bf.b.181.10		92
24.11	even	2		4320.2.bv.b.721.16		92
36.23	even	6		4320.2.bv.b.3601.16		92
36.31	odd	6		1440.2.bv.b.1201.19		92
72.5	odd	6		1080.2.bf.b.901.40		92
72.13	even	6	inner	360.2.bf.b.301.7	yes	92
72.59	even	6		4320.2.bv.b.3601.41		92
72.67	odd	6		1440.2.bv.b.1201.28		92

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bf.b.61.7	✓	92	1.1	even	1	trivial
360.2.bf.b.61.37	yes	92	8.5	even	2	inner
360.2.bf.b.301.7	yes	92	72.13	even	6	inner
360.2.bf.b.301.37	yes	92	9.4	even	3	inner
1080.2.bf.b.181.10		92	24.5	odd	2
1080.2.bf.b.181.40		92	3.2	odd	2
1080.2.bf.b.901.10		92	9.5	odd	6
1080.2.bf.b.901.40		92	72.5	odd	6
1440.2.bv.b.241.19		92	8.3	odd	2
1440.2.bv.b.241.28		92	4.3	odd	2
1440.2.bv.b.1201.19		92	36.31	odd	6
1440.2.bv.b.1201.28		92	72.67	odd	6
4320.2.bv.b.721.16		92	24.11	even	2
4320.2.bv.b.721.41		92	12.11	even	2
4320.2.bv.b.3601.16		92	36.23	even	6
4320.2.bv.b.3601.41		92	72.59	even	6

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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.24962 - 0.662158i) q^{2} +(-0.443022 + 1.67443i) q^{3} +(1.12309 + 1.65489i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.66235 - 1.79905i) q^{6} +(2.04026 - 3.53383i) q^{7} +(-0.307637 - 2.81165i) q^{8} +(-2.60746 - 1.48362i) q^{9} +O(q^{10})\)	\(q+(-1.24962 - 0.662158i) q^{2} +(-0.443022 + 1.67443i) q^{3} +(1.12309 + 1.65489i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.66235 - 1.79905i) q^{6} +(2.04026 - 3.53383i) q^{7} +(-0.307637 - 2.81165i) q^{8} +(-2.60746 - 1.48362i) q^{9} +(1.41328 - 0.0513631i) q^{10} +(0.320151 + 0.184839i) q^{11} +(-3.26856 + 1.14739i) q^{12} +(4.62646 - 2.67109i) q^{13} +(-4.88949 + 3.06496i) q^{14} +(-0.453549 - 1.67161i) q^{15} +(-1.47733 + 3.71719i) q^{16} +2.60955 q^{17} +(2.27594 + 3.58052i) q^{18} +1.88128i q^{19} +(-1.80007 - 0.871631i) q^{20} +(5.01328 + 4.98184i) q^{21} +(-0.277674 - 0.442970i) q^{22} +(4.41270 + 7.64303i) q^{23} +(4.84421 + 0.730503i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-7.55000 + 0.274391i) q^{26} +(3.63939 - 3.70875i) q^{27} +(8.13949 - 0.592413i) q^{28} +(-1.10689 - 0.639061i) q^{29} +(-0.540110 + 2.38920i) q^{30} +(2.07172 + 3.58832i) q^{31} +(4.30746 - 3.66684i) q^{32} +(-0.451336 + 0.454185i) q^{33} +(-3.26095 - 1.72794i) q^{34} +4.08051i q^{35} +(-0.473191 - 5.98131i) q^{36} -3.04014i q^{37} +(1.24570 - 2.35088i) q^{38} +(2.42294 + 8.93006i) q^{39} +(1.67224 + 2.28114i) q^{40} +(-3.81584 - 6.60924i) q^{41} +(-2.96593 - 9.54498i) q^{42} +(3.80708 + 2.19802i) q^{43} +(0.0536703 + 0.737407i) q^{44} +(2.99994 - 0.0188780i) q^{45} +(-0.453300 - 12.4728i) q^{46} +(0.882270 - 1.52814i) q^{47} +(-5.56970 - 4.12048i) q^{48} +(-4.82528 - 8.35764i) q^{49} +(-1.19826 + 0.751122i) q^{50} +(-1.15609 + 4.36953i) q^{51} +(9.61631 + 4.65641i) q^{52} -10.0632i q^{53} +(-7.00363 + 2.22467i) q^{54} -0.369679 q^{55} +(-10.5635 - 4.64934i) q^{56} +(-3.15008 - 0.833446i) q^{57} +(0.960025 + 1.53152i) q^{58} +(1.95366 - 1.12795i) q^{59} +(2.25696 - 2.62795i) q^{60} +(12.1003 + 6.98612i) q^{61} +(-0.212820 - 5.85583i) q^{62} +(-10.5628 + 6.18736i) q^{63} +(-7.81072 + 1.72993i) q^{64} +(-2.67109 + 4.62646i) q^{65} +(0.864739 - 0.268702i) q^{66} +(-1.47978 + 0.854350i) q^{67} +(2.93077 + 4.31853i) q^{68} +(-14.7527 + 4.00276i) q^{69} +(2.70194 - 5.09908i) q^{70} +8.59323 q^{71} +(-3.36927 + 7.78768i) q^{72} -11.9331 q^{73} +(-2.01305 + 3.79901i) q^{74} +(1.22859 + 1.22089i) q^{75} +(-3.11331 + 2.11285i) q^{76} +(1.30638 - 0.754239i) q^{77} +(2.88536 - 12.7635i) q^{78} +(-5.04431 + 8.73700i) q^{79} +(-0.579192 - 3.95784i) q^{80} +(4.59773 + 7.73698i) q^{81} +(0.391987 + 10.7857i) q^{82} +(-1.36095 - 0.785746i) q^{83} +(-2.61401 + 13.8915i) q^{84} +(-2.25994 + 1.30478i) q^{85} +(-3.30196 - 5.26758i) q^{86} +(1.56044 - 1.57029i) q^{87} +(0.421213 - 0.957016i) q^{88} +12.9012 q^{89} +(-3.76128 - 1.96285i) q^{90} -21.7988i q^{91} +(-7.69250 + 15.8864i) q^{92} +(-6.92622 + 1.87925i) q^{93} +(-2.11437 + 1.32538i) q^{94} +(-0.940639 - 1.62923i) q^{95} +(4.23159 + 8.83706i) q^{96} +(0.0450082 - 0.0779566i) q^{97} +(0.495683 + 13.6390i) q^{98} +(-0.560551 - 0.956946i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

Introduction

L-functions

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