LMFDB - Embedded newform 300.2.r.a.59.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(59,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("300.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.r (of order $10$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.14
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.957505 - 1.04076i) q^{2} +(0.760326 + 1.55625i) q^{3} +(-0.166367 + 1.99307i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.891666 - 2.28143i) q^{6} -1.06519 q^{7} +(2.23361 - 1.73523i) q^{8} +(-1.84381 + 2.36651i) q^{9} +O(q^{10})$	\(q+(-0.957505 - 1.04076i) q^{2} +(0.760326 + 1.55625i) q^{3} +(-0.166367 + 1.99307i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.891666 - 2.28143i) q^{6} -1.06519 q^{7} +(2.23361 - 1.73523i) q^{8} +(-1.84381 + 2.36651i) q^{9} +(3.13794 + 0.391539i) q^{10} +(-3.04382 - 2.21147i) q^{11} +(-3.22820 + 1.25647i) q^{12} +(0.659995 + 0.908406i) q^{13} +(1.01992 + 1.10861i) q^{14} +(-3.54667 - 1.55600i) q^{15} +(-3.94464 - 0.663162i) q^{16} +(-0.888219 + 2.73366i) q^{17} +(4.22843 - 0.346979i) q^{18} +(-4.04621 - 1.31469i) q^{19} +(-2.59710 - 3.64075i) q^{20} +(-0.809891 - 1.65770i) q^{21} +(0.612868 + 5.28539i) q^{22} +(-4.00089 + 5.50675i) q^{23} +(4.39871 + 2.15671i) q^{24} +(0.821205 - 4.93210i) q^{25} +(0.313484 - 1.55670i) q^{26} +(-5.08477 - 1.07011i) q^{27} +(0.177213 - 2.12300i) q^{28} +(2.10841 - 0.685063i) q^{29} +(1.77653 + 5.18111i) q^{30} +(0.361234 + 0.117372i) q^{31} +(3.08682 + 4.74041i) q^{32} +(1.12729 - 6.41838i) q^{33} +(3.69556 - 1.69307i) q^{34} +(1.81727 - 1.53970i) q^{35} +(-4.40986 - 4.06855i) q^{36} +(6.98690 + 9.61665i) q^{37} +(2.50599 + 5.46996i) q^{38} +(-0.911892 + 1.71780i) q^{39} +(-1.30242 + 6.18900i) q^{40} +(2.81265 + 3.87128i) q^{41} +(-0.949793 + 2.43016i) q^{42} +9.24777 q^{43} +(4.91400 - 5.69863i) q^{44} +(-0.275099 - 6.70256i) q^{45} +(9.56209 - 1.10877i) q^{46} +(-7.50958 + 2.44001i) q^{47} +(-1.96717 - 6.64306i) q^{48} -5.86537 q^{49} +(-5.91945 + 3.86784i) q^{50} +(-4.92958 + 0.696181i) q^{51} +(-1.92032 + 1.16429i) q^{52} +(1.84297 + 5.67207i) q^{53} +(3.75497 + 6.31666i) q^{54} +(8.38953 - 0.626900i) q^{55} +(-2.37921 + 1.84834i) q^{56} +(-1.03045 - 7.29650i) q^{57} +(-2.73180 - 1.53840i) q^{58} +(5.06153 - 3.67742i) q^{59} +(3.69127 - 6.80989i) q^{60} +(2.73832 + 1.98950i) q^{61} +(-0.223727 - 0.488342i) q^{62} +(1.96401 - 2.52078i) q^{63} +(1.97799 - 7.75162i) q^{64} +(-2.43906 - 0.595778i) q^{65} +(-7.75939 + 4.97239i) q^{66} +(2.81133 - 8.65237i) q^{67} +(-5.30060 - 2.22507i) q^{68} +(-11.6118 - 2.03945i) q^{69} +(-3.34251 - 0.417064i) q^{70} +(-1.55922 - 4.79878i) q^{71} +(-0.0119183 + 8.48527i) q^{72} +(-0.951706 + 1.30991i) q^{73} +(3.31863 - 16.4797i) q^{74} +(8.29995 - 2.47200i) q^{75} +(3.29343 - 7.84565i) q^{76} +(3.24225 + 2.35563i) q^{77} +(2.66096 - 0.695741i) q^{78} +(-13.0050 + 4.22558i) q^{79} +(7.68834 - 4.57050i) q^{80} +(-2.20073 - 8.72679i) q^{81} +(1.33595 - 6.63407i) q^{82} +(14.7786 + 4.80187i) q^{83} +(3.43865 - 1.33838i) q^{84} +(-2.43609 - 5.94765i) q^{85} +(-8.85479 - 9.62472i) q^{86} +(2.66920 + 2.76033i) q^{87} +(-10.6361 + 0.342174i) q^{88} +(4.85548 - 6.68300i) q^{89} +(-6.71236 + 6.70405i) q^{90} +(-0.703020 - 0.967625i) q^{91} +(-10.3097 - 8.89019i) q^{92} +(0.0919955 + 0.651410i) q^{93} +(9.72993 + 5.47936i) q^{94} +(8.80339 - 3.60576i) q^{95} +(-5.03026 + 8.40812i) q^{96} +(-11.0204 + 3.58074i) q^{97} +(5.61612 + 6.10445i) q^{98} +(10.8457 - 3.12571i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.957505	−	1.04076i	−0.677059	−	0.735929i
$2$	−0.957505	−	1.04076i	−0.677059	−	0.735929i
$3$	0.760326	+	1.55625i	0.438974	+	0.898500i
$3$	0.760326	+	1.55625i	0.438974	+	0.898500i
$4$	−0.166367	+	1.99307i	−0.0831836	+	0.996534i
$5$	−1.70605	+	1.44547i	−0.762968	+	0.646436i
$5$	−1.70605	+	1.44547i	−0.762968	+	0.646436i
$6$	0.891666	−	2.28143i	0.364021	−	0.931391i
$7$	−1.06519			−0.402604			−0.201302	−	0.979529i	$-0.564517\pi$
$7$	−1.06519			−0.402604			−0.201302	+	0.979529i	$0.564517\pi$
$8$	2.23361	−	1.73523i	0.789699	−	0.613495i
$9$	−1.84381	+	2.36651i	−0.614603	+	0.788836i
$10$	3.13794	+	0.391539i	0.992305	+	0.123816i
$11$	−3.04382	−	2.21147i	−0.917748	−	0.666783i	0.0252148	−	0.999682i	$-0.491973\pi$
$11$	−3.04382	−	2.21147i	−0.917748	−	0.666783i	−0.942962	+	0.332899i	$0.891973\pi$
$12$	−3.22820	+	1.25647i	−0.931901	+	0.362712i
$13$	0.659995	+	0.908406i	0.183050	+	0.251946i	0.890674	−	0.454643i	$-0.150233\pi$
$13$	0.659995	+	0.908406i	0.183050	+	0.251946i	−0.707624	+	0.706589i	$0.750233\pi$
$14$	1.01992	+	1.10861i	0.272586	+	0.296288i
$15$	−3.54667	−	1.55600i	−0.915746	−	0.401758i
$16$	−3.94464	−	0.663162i	−0.986161	−	0.165791i
$17$	−0.888219	+	2.73366i	−0.215425	+	0.663010i	0.783698	+	0.621142i	$0.213331\pi$
$17$	−0.888219	+	2.73366i	−0.215425	+	0.663010i	−0.999123	+	0.0418678i	$0.986669\pi$
$18$	4.22843	−	0.346979i	0.996650	−	0.0817838i
$19$	−4.04621	−	1.31469i	−0.928264	−	0.301611i	−0.194412	−	0.980920i	$-0.562280\pi$
$19$	−4.04621	−	1.31469i	−0.928264	−	0.301611i	−0.733853	+	0.679309i	$0.762280\pi$
$20$	−2.59710	−	3.64075i	−0.580729	−	0.814097i
$21$	−0.809891	−	1.65770i	−0.176733	−	0.361739i
$22$	0.612868	+	5.28539i	0.130664	+	1.12685i
$23$	−4.00089	+	5.50675i	−0.834243	+	1.14824i	0.152875	+	0.988246i	$0.451147\pi$
$23$	−4.00089	+	5.50675i	−0.834243	+	1.14824i	−0.987118	+	0.159992i	$0.948853\pi$
$24$	4.39871	+	2.15671i	0.897882	+	0.440236i
$25$	0.821205	−	4.93210i	0.164241	−	0.986420i
$26$	0.313484	−	1.55670i	0.0614793	−	0.305294i
$27$	−5.08477	−	1.07011i	−0.978564	−	0.205942i
$28$	0.177213	−	2.12300i	0.0334900	−	0.401209i
$29$	2.10841	−	0.685063i	0.391521	−	0.127213i	−0.106639	−	0.994298i	$-0.534009\pi$
$29$	2.10841	−	0.685063i	0.391521	−	0.127213i	0.498161	+	0.867085i	$0.334009\pi$
$30$	1.77653	+	5.18111i	0.324348	+	0.945938i
$31$	0.361234	+	0.117372i	0.0648795	+	0.0210806i	0.341277	−	0.939963i	$-0.389141\pi$
$31$	0.361234	+	0.117372i	0.0648795	+	0.0210806i	−0.276397	+	0.961043i	$0.589141\pi$
$32$	3.08682	+	4.74041i	0.545679	+	0.837995i
$33$	1.12729	−	6.41838i	0.196237	−	1.11730i
$34$	3.69556	−	1.69307i	0.633783	−	0.290359i
$35$	1.81727	−	1.53970i	0.307174	−	0.260258i
$36$	−4.40986	−	4.06855i	−0.734977	−	0.678092i
$37$	6.98690	+	9.61665i	1.14864	+	1.58097i	0.746496	+	0.665390i	$0.231735\pi$
$37$	6.98690	+	9.61665i	1.14864	+	1.58097i	0.402144	+	0.915576i	$0.368265\pi$
$38$	2.50599	+	5.46996i	0.406525	+	0.887345i
$39$	−0.911892	+	1.71780i	−0.146020	+	0.275068i
$40$	−1.30242	+	6.18900i	−0.205930	+	0.978567i
$41$	2.81265	+	3.87128i	0.439262	+	0.604592i	0.970048	−	0.242914i	$-0.0781032\pi$
$41$	2.81265	+	3.87128i	0.439262	+	0.604592i	−0.530786	+	0.847506i	$0.678103\pi$
$42$	−0.949793	+	2.43016i	−0.146556	+	0.374982i
$43$	9.24777			1.41027			0.705136	−	0.709072i	$-0.250886\pi$
$43$	9.24777			1.41027			0.705136	+	0.709072i	$0.250886\pi$
$44$	4.91400	−	5.69863i	0.740813	−	0.859101i
$45$	−0.275099	−	6.70256i	−0.0410093	−	0.999159i
$46$	9.56209	−	1.10877i	1.40985	−	0.163480i
$47$	−7.50958	+	2.44001i	−1.09539	+	0.355912i	−0.800325	−	0.599566i	$-0.795340\pi$
$47$	−7.50958	+	2.44001i	−1.09539	+	0.355912i	−0.295060	+	0.955479i	$0.595340\pi$
$48$	−1.96717	−	6.64306i	−0.283936	−	0.958843i
$49$	−5.86537			−0.837910
$50$	−5.91945	+	3.86784i	−0.837136	+	0.546994i
$51$	−4.92958	+	0.696181i	−0.690280	+	0.0974849i
$52$	−1.92032	+	1.16429i	−0.266300	+	0.161458i
$53$	1.84297	+	5.67207i	0.253151	+	0.779118i	0.994188	+	0.107655i	$0.0343341\pi$
$53$	1.84297	+	5.67207i	0.253151	+	0.779118i	−0.741037	+	0.671464i	$0.765666\pi$
$54$	3.75497	+	6.31666i	0.510986	+	0.859589i
$55$	8.38953	−	0.626900i	1.13124	−	0.0845311i
$56$	−2.37921	+	1.84834i	−0.317936	+	0.246995i
$57$	−1.03045	−	7.29650i	−0.136486	−	0.966445i
$58$	−2.73180	−	1.53840i	−0.358703	−	0.202001i
$59$	5.06153	−	3.67742i	0.658956	−	0.478759i	−0.207354	−	0.978266i	$-0.566485\pi$
$59$	5.06153	−	3.67742i	0.658956	−	0.478759i	0.866310	+	0.499507i	$0.166485\pi$
$60$	3.69127	−	6.80989i	0.476541	−	0.879152i
$61$	2.73832	+	1.98950i	0.350605	+	0.254730i	0.749123	−	0.662431i	$-0.230475\pi$
$61$	2.73832	+	1.98950i	0.350605	+	0.254730i	−0.398518	+	0.917161i	$0.630475\pi$
$62$	−0.223727	−	0.488342i	−0.0284134	−	0.0620195i
$63$	1.96401	−	2.52078i	0.247442	−	0.317589i
$64$	1.97799	−	7.75162i	0.247248	−	0.968952i
$65$	−2.43906	−	0.595778i	−0.302528	−	0.0738971i
$66$	−7.75939	+	4.97239i	−0.955115	+	0.612059i
$67$	2.81133	−	8.65237i	0.343458	−	1.05706i	−0.618946	−	0.785434i	$-0.712440\pi$
$67$	2.81133	−	8.65237i	0.343458	−	1.05706i	0.962404	−	0.271622i	$-0.0875601\pi$
$68$	−5.30060	−	2.22507i	−0.642792	−	0.269830i
$69$	−11.6118	−	2.03945i	−1.39790	−	0.245521i
$70$	−3.34251	−	0.417064i	−0.399506	−	0.0498486i
$71$	−1.55922	−	4.79878i	−0.185045	−	0.569511i	0.814904	−	0.579596i	$-0.196790\pi$
$71$	−1.55922	−	4.79878i	−0.185045	−	0.569511i	−0.999949	+	0.0100854i	$0.996790\pi$
$72$	−0.0119183	+	8.48527i	−0.00140459	+	0.999999i
$73$	−0.951706	+	1.30991i	−0.111389	+	0.153313i	−0.861071	−	0.508484i	$-0.830206\pi$
$73$	−0.951706	+	1.30991i	−0.111389	+	0.153313i	0.749683	+	0.661797i	$0.230206\pi$
$74$	3.31863	−	16.4797i	0.385783	−	1.91572i
$75$	8.29995	−	2.47200i	0.958396	−	0.285443i
$76$	3.29343	−	7.84565i	0.377782	−	0.899958i
$77$	3.24225	+	2.35563i	0.369489	+	0.268449i
$78$	2.66096	−	0.695741i	0.301295	−	0.0787771i
$79$	−13.0050	+	4.22558i	−1.46317	+	0.475414i	−0.929038	−	0.369984i	$-0.879363\pi$
$79$	−13.0050	+	4.22558i	−1.46317	+	0.475414i	−0.534137	+	0.845398i	$0.679363\pi$
$80$	7.68834	−	4.57050i	0.859582	−	0.510997i
$81$	−2.20073	−	8.72679i	−0.244525	−	0.969643i
$82$	1.33595	−	6.63407i	0.147531	−	0.732610i
$83$	14.7786	+	4.80187i	1.62217	+	0.527074i	0.972452	−	0.233105i	$-0.0748886\pi$
$83$	14.7786	+	4.80187i	1.62217	+	0.527074i	0.649714	+	0.760179i	$0.274889\pi$
$84$	3.43865	−	1.33838i	0.375187	−	0.146029i
$85$	−2.43609	−	5.94765i	−0.264231	−	0.645114i
$86$	−8.85479	−	9.62472i	−0.954836	−	1.03786i
$87$	2.66920	+	2.76033i	0.286169	+	0.295939i
$88$	−10.6361	+	0.342174i	−1.13381	+	0.0364759i
$89$	4.85548	−	6.68300i	0.514680	−	0.708396i	−0.470020	−	0.882656i	$-0.655753\pi$
$89$	4.85548	−	6.68300i	0.514680	−	0.708396i	0.984700	+	0.174259i	$0.0557532\pi$
$90$	−6.71236	+	6.70405i	−0.707544	+	0.706669i
$91$	−0.703020	−	0.967625i	−0.0736966	−	0.101435i
$92$	−10.3097	−	8.89019i	−1.07486	−	0.926867i
$93$	0.0919955	+	0.651410i	0.00953948	+	0.0675480i
$94$	9.72993	+	5.47936i	1.00357	+	0.565153i
$95$	8.80339	−	3.60576i	0.903209	−	0.369944i
$96$	−5.03026	+	8.40812i	−0.513399	+	0.858150i
$97$	−11.0204	+	3.58074i	−1.11895	+	0.363569i	−0.809367	−	0.587303i	$-0.800190\pi$
$97$	−11.0204	+	3.58074i	−1.11895	+	0.363569i	−0.309584	+	0.950872i	$0.600190\pi$
$98$	5.61612	+	6.10445i	0.567314	+	0.616643i
$99$	10.8457	−	3.12571i	1.09003	−	0.314146i
$100$	9.69339	+	2.45726i	0.969339	+	0.245726i
$101$			10.1196i			1.00693i	0.864015	+	0.503467i	$0.167942\pi$
$101$			10.1196i			1.00693i	−0.864015	+	0.503467i	$0.832058\pi$
$102$	5.44466	+	4.46392i	0.539102	+	0.441994i
$103$	4.28316	+	13.1822i	0.422032	+	1.29888i	0.905808	+	0.423689i	$0.139265\pi$
$103$	4.28316	+	13.1822i	0.422032	+	1.29888i	−0.483776	+	0.875192i	$0.660735\pi$
$104$	3.05046	+	0.883779i	0.299122	+	0.0866617i
$105$	3.77787	+	1.65744i	0.368683	+	0.161749i
$106$	4.13862	−	7.34912i	0.401978	−	0.713810i
$107$		−	3.63139i		−	0.351060i	−0.984474	−	0.175530i	$-0.943836\pi$
$107$		−	3.63139i		−	0.351060i	0.984474	−	0.175530i	$-0.0561638\pi$
$108$	2.97873	−	9.95626i	0.286629	−	0.958042i
$109$	8.30940	−	6.03713i	0.795896	−	0.578252i	−0.113811	−	0.993502i	$-0.536306\pi$
$109$	8.30940	−	6.03713i	0.795896	−	0.578252i	0.909707	+	0.415250i	$0.136306\pi$
$110$	−8.68548	−	8.13124i	−0.828128	−	0.775283i
$111$	−9.65356	+	18.1851i	−0.916275	+	1.72606i
$112$	4.20179	+	0.706393i	0.397032	+	0.0667479i
$113$	−7.25641	+	5.27209i	−0.682625	+	0.495956i	−0.874228	−	0.485516i	$-0.838632\pi$
$113$	−7.25641	+	5.27209i	−0.682625	+	0.495956i	0.191602	+	0.981473i	$0.438632\pi$
$114$	−6.60725	+	8.05889i	−0.618826	+	0.754784i
$115$	−1.13416	−	15.1780i	−0.105761	−	1.41535i
$116$	1.01461	+	4.31617i	0.0942039	+	0.400746i
$117$	−3.36666	−	0.113043i	−0.311248	−	0.0104508i
$118$	−8.67376	−	1.74670i	−0.798484	−	0.160797i
$119$	0.946122	−	2.91186i	0.0867309	−	0.266930i
$120$	−10.6219	+	2.67877i	−0.969640	+	0.244538i
$121$	0.975089	+	3.00102i	0.0886445	+	0.272820i
$122$	−0.551355	−	4.75489i	−0.0499173	−	0.430488i
$123$	−3.88614	+	7.32061i	−0.350401	+	0.660077i
$124$	−0.294028	+	0.700437i	−0.0264045	+	0.0629011i
$125$	5.72821	+	9.60144i	0.512347	+	0.858779i
$126$	−4.50408	+	0.369599i	−0.401255	+	0.0329265i
$127$	−7.53088	−	5.47151i	−0.668258	−	0.485518i	0.201184	−	0.979554i	$-0.435521\pi$
$127$	−7.53088	−	5.47151i	−0.668258	−	0.485518i	−0.869442	+	0.494036i	$0.835521\pi$
$128$	−9.96151	+	5.36360i	−0.880482	+	0.474080i
$129$	7.03131	+	14.3918i	0.619073	+	1.26713i
$130$	1.71535	+	3.10894i	0.150446	+	0.272672i
$131$	−2.27835	+	7.01204i	−0.199060	+	0.612645i	0.800845	+	0.598872i	$0.204384\pi$
$131$	−2.27835	+	7.01204i	−0.199060	+	0.612645i	−0.999905	+	0.0137729i	$0.995616\pi$
$132$	12.6047	+	3.31458i	1.09710	+	0.288497i
$133$	4.30998	+	1.40040i	0.373723	+	0.121430i
$134$	−11.6969	+	5.35878i	−1.01046	+	0.462928i
$135$	10.2217	−	5.52425i	0.879742	−	0.475452i
$136$	2.75958	+	7.64717i	0.236632	+	0.655740i
$137$	6.81997	−	4.95500i	0.582669	−	0.423334i	−0.257016	−	0.966407i	$-0.582739\pi$
$137$	6.81997	−	4.95500i	0.582669	−	0.423334i	0.839685	+	0.543073i	$0.182739\pi$
$138$	8.99583	+	14.0379i	0.765776	+	1.19499i
$139$	−2.56193	+	3.52620i	−0.217300	+	0.299088i	−0.903726	−	0.428112i	$-0.859179\pi$
$139$	−2.56193	+	3.52620i	−0.217300	+	0.299088i	0.686425	+	0.727200i	$0.259179\pi$
$140$	2.76640	+	3.87809i	0.233804	+	0.327759i
$141$	−9.50699	−	9.83156i	−0.800633	−	0.827967i
$142$	−3.50143	+	6.21763i	−0.293833	+	0.521772i
$143$		−	4.22459i		−	0.353278i
$144$	8.84255	−	8.11229i	0.736879	−	0.676024i
$145$	−2.60680	+	4.21640i	−0.216483	+	0.350153i
$146$	2.27457	−	0.263748i	0.188245	−	0.0218280i
$147$	−4.45959	−	9.12797i	−0.367821	−	0.752862i
$148$	−20.3290	+	12.3255i	−1.67104	+	1.01315i
$149$		−	0.371677i		−	0.0304490i	−0.999884	−	0.0152245i	$-0.995154\pi$
$149$		−	0.371677i		−	0.0304490i	0.999884	−	0.0152245i	$-0.00484629\pi$
$150$	−10.5200	−	6.27131i	−0.858956	−	0.512050i
$151$			21.6111i			1.75868i	0.476192	+	0.879341i	$0.342017\pi$
$151$			21.6111i			1.75868i	−0.476192	+	0.879341i	$0.657983\pi$
$152$	−11.3189	+	4.08458i	−0.918086	+	0.331303i
$153$	−4.83152	−	7.14233i	−0.390605	−	0.577423i
$154$	−0.652821	−	5.62994i	−0.0526058	−	0.453673i
$155$	−0.785940	+	0.321912i	−0.0631283	+	0.0258566i
$156$	−3.27198	−	2.10325i	−0.261968	−	0.168395i
$157$		−	3.80885i		−	0.303980i	−0.988382	−	0.151990i	$-0.951432\pi$
$157$		−	3.80885i		−	0.303980i	0.988382	−	0.151990i	$-0.0485681\pi$
$158$	16.8502	+	9.48907i	1.34053	+	0.754910i
$159$	−7.42588	+	7.18073i	−0.588911	+	0.569469i
$160$	−12.1184	−	3.62545i	−0.958045	−	0.286617i
$161$	4.26171	−	5.86574i	0.335870	−	0.462285i
$162$	−6.97529	+	10.6464i	−0.548031	+	0.836458i
$163$	−7.51643	+	5.46100i	−0.588732	+	0.427739i	−0.841862	−	0.539694i	$-0.818540\pi$
$163$	−7.51643	+	5.46100i	−0.588732	+	0.427739i	0.253130	+	0.967432i	$0.418540\pi$
$164$	−8.18366	+	4.96175i	−0.639036	+	0.387448i
$165$	7.35439	+	12.5795i	0.572538	+	0.979316i
$166$	−9.15302	−	19.9788i	−0.710412	−	1.55066i
$167$	18.1592	+	5.90028i	1.40520	+	0.456578i	0.910869	−	0.412696i	$-0.135413\pi$
$167$	18.1592	+	5.90028i	1.40520	+	0.456578i	0.494332	+	0.869273i	$0.335413\pi$
$168$	−4.68546	−	2.29730i	−0.361491	−	0.177241i
$169$	3.62761	−	11.1646i	0.279047	−	0.858819i
$170$	−3.85752	+	8.23030i	−0.295858	+	0.631235i
$171$	10.5717	−	7.15135i	0.808436	−	0.546877i
$172$	−1.53852	+	18.4314i	−0.117311	+	1.40538i
$173$	9.69853	+	7.04639i	0.737365	+	0.535727i	0.891885	−	0.452263i	$-0.149383\pi$
$173$	9.69853	+	7.04639i	0.737365	+	0.535727i	−0.154520	+	0.987990i	$0.549383\pi$
$174$	0.317069	−	5.42103i	0.0240370	−	0.410967i
$175$	−0.874739	+	5.25362i	−0.0661241	+	0.397137i
$176$	10.5402	+	10.7420i	0.794501	+	0.809709i
$177$	9.57139	+	5.08096i	0.719430	+	0.381908i
$178$	−11.6046	+	1.34561i	−0.869798	+	0.100858i
$179$	0.944989	+	2.90838i	0.0706318	+	0.217382i	0.980141	−	0.198301i	$-0.0635424\pi$
$179$	0.944989	+	2.90838i	0.0706318	+	0.217382i	−0.909509	+	0.415684i	$0.863542\pi$
$180$	13.4044	+	0.566794i	0.999107	+	0.0422464i
$181$	−2.51625	+	7.74423i	−0.187032	+	0.575624i	−0.999977	−	0.00671533i	$-0.997862\pi$
$181$	−2.51625	+	7.74423i	−0.187032	+	0.575624i	0.812946	+	0.582339i	$0.197862\pi$
$182$	−0.333920	+	1.65818i	−0.0247518	+	0.122913i
$183$	−1.01415	+	5.77417i	−0.0749679	+	0.426839i
$184$	0.619047	+	19.2424i	0.0456367	+	1.41857i
$185$	−25.8206	−	6.30708i	−1.89837	−	0.463705i
$186$	0.589876	−	0.719474i	0.0432518	−	0.0527544i
$187$	8.74898	−	6.35651i	0.639789	−	0.464834i
$188$	−3.61376	−	15.3731i	−0.263561	−	1.12119i
$189$	5.41624	+	1.13987i	0.393974	+	0.0829131i
$190$	−12.1820	−	5.70969i	−0.883777	−	0.414224i
$191$	14.4015	−	10.4633i	1.04205	−	0.757096i	0.0713681	−	0.997450i	$-0.477264\pi$
$191$	14.4015	−	10.4633i	1.04205	−	0.757096i	0.970685	+	0.240354i	$0.0772635\pi$
$192$	13.5673	−	2.81552i	0.979139	−	0.203192i
$193$		−	13.9013i		−	1.00064i	−0.865841	−	0.500318i	$-0.833216\pi$
$193$		−	13.9013i		−	1.00064i	0.865841	−	0.500318i	$-0.166784\pi$
$194$	14.2788	+	8.04101i	1.02516	+	0.577311i
$195$	−0.927304	−	4.24877i	−0.0664056	−	0.304261i
$196$	0.975805	−	11.6901i	0.0697003	−	0.835006i
$197$	−6.96834	−	21.4464i	−0.496474	−	1.52799i	−0.814647	−	0.579957i	$-0.803069\pi$
$197$	−6.96834	−	21.4464i	−0.496474	−	1.52799i	0.318173	−	0.948033i	$-0.396931\pi$
$198$	−13.6379	−	8.29489i	−0.969205	−	0.589492i
$199$			2.15680i			0.152892i	0.997074	+	0.0764458i	$0.0243572\pi$
$199$			2.15680i			0.152892i	−0.997074	+	0.0764458i	$0.975643\pi$
$200$	−6.72406	−	12.4413i	−0.475463	−	0.879736i
$201$	15.6028	−	2.20350i	1.10053	−	0.155423i
$202$	10.5320	−	9.68953i	0.741032	−	0.681753i
$203$	−2.24585	+	0.729722i	−0.157628	+	0.0512164i
$204$	−0.567416	−	9.94082i	−0.0397271	−	0.695997i
$205$	−10.3944	−	2.53898i	−0.725973	−	0.177330i
$206$	9.61837	−	17.0798i	0.670144	−	1.19000i
$207$	−5.65490	−	19.6215i	−0.393043	−	1.36379i
$208$	−2.00103	−	4.02102i	−0.138746	−	0.278808i
$209$	9.40855	+	12.9498i	0.650803	+	0.895754i
$210$	−1.89234	−	5.51887i	−0.130584	−	0.380838i
$211$	−9.99024	+	13.7504i	−0.687756	+	0.946615i	−0.999994	−	0.00338856i	$-0.998921\pi$
$211$	−9.99024	+	13.7504i	−0.687756	+	0.946615i	0.312238	+	0.950004i	$0.398921\pi$
$212$	−11.6114	+	2.72951i	−0.797476	+	0.187464i
$213$	6.28258	−	6.07517i	0.430475	−	0.416264i
$214$	−3.77941	+	3.47707i	−0.258355	+	0.237688i
$215$	−15.7771	+	13.3674i	−1.07599	+	0.911650i
$216$	−13.2142	+	6.43302i	−0.899115	+	0.437712i
$217$	−0.384782	−	0.125023i	−0.0261207	−	0.00848714i
$218$	−14.2395	−	2.86751i	−0.964421	−	0.194212i
$219$	−2.76215	−	0.485131i	−0.186649	−	0.0327821i
$220$	−0.146289	+	16.8252i	−0.00986279	+	1.13436i
$221$	−3.06949	+	0.997338i	−0.206476	+	0.0670882i
$222$	28.1697	−	7.36531i	1.89063	−	0.494327i
$223$	−1.28119	−	0.930840i	−0.0857949	−	0.0623336i	0.544061	−	0.839046i	$-0.316886\pi$
$223$	−1.28119	−	0.930840i	−0.0857949	−	0.0623336i	−0.629856	+	0.776712i	$0.716886\pi$
$224$	−3.28805	−	5.04944i	−0.219692	−	0.337380i
$225$	10.1577	+	11.0372i	0.677181	+	0.735816i
$226$	12.4350	+	2.50413i	0.827166	+	0.166572i
$227$	−2.98415	+	4.10733i	−0.198065	+	0.272613i	−0.896484	−	0.443076i	$-0.853887\pi$
$227$	−2.98415	+	4.10733i	−0.198065	+	0.272613i	0.698419	+	0.715689i	$0.253887\pi$
$228$	14.7139	−	0.839859i	0.974449	−	0.0556210i
$229$	−4.27109	−	13.1451i	−0.282242	−	0.868650i	−0.987212	−	0.159414i	$-0.949040\pi$
$229$	−4.27109	−	13.1451i	−0.282242	−	0.868650i	0.704970	−	0.709237i	$-0.250960\pi$
$230$	−14.7107	+	15.7134i	−0.969994	+	1.03611i
$231$	−1.20078	+	6.83679i	−0.0790056	+	0.449828i
$232$	3.52061	−	5.18872i	0.231139	−	0.340656i
$233$	2.07923	−	6.39921i	0.136215	−	0.419226i	−0.859562	−	0.511031i	$-0.829264\pi$
$233$	2.07923	−	6.39921i	0.136215	−	0.419226i	0.995777	+	0.0918049i	$0.0292636\pi$
$234$	3.10594	+	3.61212i	0.203042	+	0.236132i
$235$	9.28474	−	15.0177i	0.605670	−	0.979646i
$236$	6.48728	+	10.6998i	0.422286	+	0.696497i
$237$	−16.4641	−	17.0262i	−1.06946	−	1.10597i
$238$	−3.93647	+	1.80344i	−0.255164	+	0.116900i
$239$	−11.6229	−	8.44456i	−0.751825	−	0.546233i	0.144567	−	0.989495i	$-0.453821\pi$
$239$	−11.6229	−	8.44456i	−0.751825	−	0.546233i	−0.896392	+	0.443262i	$0.853821\pi$
$240$	12.9585	+	8.48989i	0.836465	+	0.548020i
$241$	−19.7088	+	14.3193i	−1.26955	+	0.922385i	−0.999185	−	0.0403719i	$-0.987146\pi$
$241$	−19.7088	+	14.3193i	−1.26955	+	0.922385i	−0.270369	+	0.962757i	$0.587146\pi$
$242$	2.18969	−	3.88832i	0.140758	−	0.249951i
$243$	11.9078	−	10.0601i	0.763884	−	0.645354i
$244$	−4.42078	+	5.12666i	−0.283012	+	0.328201i
$245$	10.0066	−	8.47825i	0.639299	−	0.541655i
$246$	11.3400	−	2.96498i	0.723012	−	0.189040i
$247$	−1.47621	−	4.54329i	−0.0939287	−	0.289083i
$248$	1.01052	−	0.364659i	0.0641681	−	0.0231559i
$249$	3.76368	+	26.6502i	0.238513	+	1.68889i
$250$	4.50801	−	15.1551i	0.285111	−	0.958494i
$251$	−14.4153			−0.909884			−0.454942	−	0.890521i	$-0.650340\pi$
$251$	−14.4153			−0.909884			−0.454942	+	0.890521i	$0.650340\pi$
$252$	4.69734	+	4.33378i	0.295905	+	0.273002i
$253$	24.3560	−	7.91375i	1.53125	−	0.497533i
$254$	1.51633	+	13.0768i	0.0951430	+	0.820514i
$255$	7.40380	−	8.31331i	0.463644	−	0.520600i
$256$	15.1204	+	5.23188i	0.945027	+	0.326992i
$257$	−26.6349			−1.66144			−0.830718	−	0.556693i	$-0.812070\pi$
$257$	−26.6349			−1.66144			−0.830718	+	0.556693i	$0.812070\pi$
$258$	8.24592	−	21.0982i	0.513368	−	1.31351i
$259$	−7.44238	−	10.2436i	−0.462447	−	0.636503i
$260$	1.59321	−	4.76210i	0.0988064	−	0.295333i
$261$	−2.26629	+	6.25269i	−0.140280	+	0.387032i
$262$	9.47939	−	4.34285i	0.585639	−	0.268302i
$263$	−8.91474	−	12.2701i	−0.549707	−	0.756606i	0.440266	−	0.897867i	$-0.354884\pi$
$263$	−8.91474	−	12.2701i	−0.549707	−	0.756606i	−0.989972	+	0.141261i	$0.954884\pi$
$264$	−8.61940	−	16.2922i	−0.530488	−	1.00272i
$265$	−11.3430	−	7.01286i	−0.696796	−	0.430797i
$266$	−2.66935	−	5.82655i	−0.163668	−	0.357249i
$267$	14.0921	+	2.47508i	0.862425	+	0.151472i
$268$	16.7771	+	7.04264i	1.02482	+	0.430198i
$269$	−15.2945	−	4.96949i	−0.932523	−	0.302995i	−0.196929	−	0.980418i	$-0.563097\pi$
$269$	−15.2945	−	4.96949i	−0.932523	−	0.302995i	−0.735594	+	0.677423i	$0.763097\pi$
$270$	−15.5367	−	5.34882i	−0.945535	−	0.325519i
$271$	13.2406	−	4.30213i	0.804308	−	0.261336i	0.122123	−	0.992515i	$-0.461030\pi$
$271$	13.2406	−	4.30213i	0.804308	−	0.261336i	0.682185	+	0.731179i	$0.261030\pi$
$272$	5.31657	−	10.1943i	0.322364	−	0.618119i
$273$	0.971339	−	1.82978i	0.0587881	−	0.110744i
$274$	−11.6871	−	2.35352i	−0.706045	−	0.142181i
$275$	−13.4068	+	13.1964i	−0.808460	+	0.795772i
$276$	5.99659	−	22.8039i	0.360952	−	1.37263i
$277$	−9.08309	+	12.5018i	−0.545750	+	0.751161i	−0.989428	−	0.145026i	$-0.953673\pi$
$277$	−9.08309	+	12.5018i	−0.545750	+	0.751161i	0.443678	+	0.896186i	$0.353673\pi$
$278$	6.12300	−	0.709994i	0.367233	−	0.0425826i
$279$	−0.943808	+	0.638451i	−0.0565043	+	0.0382231i
$280$	1.38732	−	6.59246i	0.0829082	−	0.393975i
$281$	22.8613	+	7.42807i	1.36379	+	0.443122i	0.897306	−	0.441409i	$-0.145521\pi$
$281$	22.8613	+	7.42807i	1.36379	+	0.443122i	0.466482	+	0.884530i	$0.345521\pi$
$282$	−1.12932	+	19.3083i	−0.0672498	+	1.14979i
$283$	7.43523	−	22.8833i	0.441978	−	1.36027i	−0.443785	−	0.896133i	$-0.646365\pi$
$283$	7.43523	−	22.8833i	0.441978	−	1.36027i	0.885764	−	0.464137i	$-0.153635\pi$
$284$	9.82371	−	2.30927i	0.582930	−	0.137030i
$285$	12.3049	+	10.9587i	0.728880	+	0.649137i
$286$	−4.39678	+	4.04506i	−0.259987	+	0.239190i
$287$	−2.99601	−	4.12365i	−0.176849	−	0.243411i
$288$	−16.9097	−	1.43542i	−0.996416	−	0.0845832i
$289$	7.06934	+	5.13617i	0.415843	+	0.302128i
$290$	6.88429	−	1.32417i	0.404260	−	0.0777577i
$291$	−13.9516	−	14.4279i	−0.817857	−	0.845780i
$292$	−2.45241	−	2.11474i	−0.143516	−	0.123756i
$293$	−10.1696			−0.594114			−0.297057	−	0.954860i	$-0.596005\pi$
$293$	−10.1696			−0.594114			−0.297057	+	0.954860i	$0.596005\pi$
$294$	−5.22995	+	13.3814i	−0.305017	+	0.780422i
$295$	−3.31961	+	13.5902i	−0.193275	+	0.791251i
$296$	32.2930	+	9.35594i	1.87699	+	0.543803i
$297$	13.1106	+	14.5020i	0.760756	+	0.841493i
$298$	−0.386827	+	0.355883i	−0.0224083	+	0.0206157i
$299$	−7.64294			−0.442002
$300$	3.54604	+	16.9536i	0.204730	+	0.978818i
$301$	−9.85063			−0.567781
$302$	22.4919	−	20.6927i	1.29427	−	1.19073i
$303$	−15.7485	+	7.69416i	−0.904729	+	0.442018i
$304$	15.0890	+	7.86929i	0.865414	+	0.451335i
$305$	−7.54748	+	0.563978i	−0.432167	+	0.0322933i
$306$	−2.80725	+	11.8673i	−0.160480	+	0.678407i
$307$	3.03270			0.173086			0.0865428	−	0.996248i	$-0.472418\pi$
$307$	3.03270			0.173086			0.0865428	+	0.996248i	$0.472418\pi$
$308$	−5.23434	+	6.07013i	−0.298254	+	0.345878i
$309$	−17.2582	+	16.6884i	−0.981783	+	0.949371i
$310$	1.08758	+	0.509744i	0.0617701	+	0.0289515i
$311$	22.9523	+	16.6759i	1.30151	+	0.945601i	0.999969	−	0.00785286i	$-0.00249967\pi$
$311$	22.9523	+	16.6759i	1.30151	+	0.945601i	0.301539	+	0.953454i	$0.402500\pi$
$312$	0.943962	+	5.41923i	0.0534413	+	0.306803i
$313$	0.692098	+	0.952591i	0.0391197	+	0.0538436i	0.828129	−	0.560538i	$-0.189406\pi$
$313$	0.692098	+	0.952591i	0.0391197	+	0.0538436i	−0.789009	+	0.614382i	$0.789406\pi$
$314$	−3.96411	+	3.64700i	−0.223707	+	0.205812i
$315$	0.293033	+	7.13950i	0.0165105	+	0.402265i
$316$	−6.25826	−	26.6228i	−0.352055	−	1.49765i
$317$	0.153474	−	0.472345i	0.00861997	−	0.0265295i	−0.946654	−	0.322252i	$-0.895560\pi$
$317$	0.153474	−	0.472345i	0.00861997	−	0.0265295i	0.955274	+	0.295722i	$0.0955603\pi$
$318$	14.5837	+	0.852985i	0.817816	+	0.0478330i
$319$	−7.93261	−	2.57746i	−0.444141	−	0.144310i
$320$	7.83023	+	16.0838i	0.437723	+	0.899110i
$321$	5.65134	−	2.76104i	0.315427	−	0.154106i
$322$	−10.1854	+	1.18106i	−0.567612	+	0.0658176i
$323$	7.18785	−	9.89322i	0.399942	−	0.550474i
$324$	17.7592	−	2.93435i	0.986623	−	0.163020i
$325$	5.02234	−	2.50918i	0.278589	−	0.139184i
$326$	12.8806	+	2.59386i	0.713392	+	0.143661i
$327$	15.7131	+	8.34129i	0.868937	+	0.461275i
$328$	12.9999	+	3.76633i	0.717799	+	0.207961i
$329$	7.99913	−	2.59908i	0.441006	−	0.143292i
$330$	6.05043	−	19.6991i	0.333065	−	1.08440i
$331$	5.77818	+	1.87744i	0.317597	+	0.103194i	0.463478	−	0.886109i	$-0.346601\pi$
$331$	5.77818	+	1.87744i	0.317597	+	0.103194i	−0.145880	+	0.989302i	$0.546601\pi$
$332$	−12.0291	+	28.6560i	−0.660184	+	1.57270i
$333$	−35.6404	−	1.19670i	−1.95308	−	0.0655789i
$334$	−11.2467	−	24.5489i	−0.615395	−	1.34326i
$335$	7.71053	+	18.8251i	0.421271	+	1.02852i
$336$	2.09541	+	7.07612i	0.114314	+	0.386034i
$337$	5.19448	+	7.14958i	0.282961	+	0.389463i	0.926712	−	0.375773i	$-0.122623\pi$
$337$	5.19448	+	7.14958i	0.282961	+	0.389463i	−0.643751	+	0.765235i	$0.722623\pi$
$338$	−15.0932	+	6.91473i	−0.820961	+	0.376112i
$339$	−13.7219	−	7.28426i	−0.745272	−	0.395627i
$340$	12.2594	−	3.86580i	0.664857	−	0.209652i
$341$	−0.839968	−	1.15612i	−0.0454868	−	0.0626072i
$342$	−17.5653	−	4.15514i	−0.949822	−	0.224684i
$343$	13.7041			0.739950
$344$	20.6559	−	16.0470i	1.11369	−	0.865194i
$345$	22.7584	−	13.3052i	1.22527	−	0.716330i
$346$	−1.95278	−	16.8408i	−0.104982	−	0.905367i
$347$	−29.8214	+	9.68958i	−1.60090	+	0.520164i	−0.967330	−	0.253522i	$-0.918411\pi$
$347$	−29.8214	+	9.68958i	−1.60090	+	0.520164i	−0.633570	+	0.773686i	$0.718411\pi$
$348$	−5.94560	+	4.86067i	−0.318717	+	0.260560i
$349$	10.4112			0.557300			0.278650	−	0.960393i	$-0.410113\pi$
$349$	10.4112			0.557300			0.278650	+	0.960393i	$0.410113\pi$
$350$	6.30533	−	4.11998i	0.337034	−	0.220222i
$351$	−2.38383	−	5.32530i	−0.127240	−	0.284243i
$352$	1.08752	−	21.2554i	0.0579650	−	1.13292i
$353$	2.86998	+	8.83290i	0.152754	+	0.470128i	0.997926	−	0.0643656i	$-0.0205024\pi$
$353$	2.86998	+	8.83290i	0.152754	+	0.470128i	−0.845173	+	0.534494i	$0.820502\pi$
$354$	−3.87659	−	14.8266i	−0.206038	−	0.788024i
$355$	9.59662	+	5.93315i	0.509336	+	0.314899i
$356$	12.5119	+	10.7891i	0.663128	+	0.571823i
$357$	5.25094	−	0.741565i	0.277909	−	0.0392478i
$358$	2.12209	−	3.76829i	0.112156	−	0.199161i
$359$	−20.5019	+	14.8955i	−1.08205	+	0.786155i	−0.978039	−	0.208422i	$-0.933167\pi$
$359$	−20.5019	+	14.8955i	−1.08205	+	0.786155i	−0.104010	+	0.994576i	$0.533167\pi$
$360$	−12.2449	−	14.4935i	−0.645364	−	0.763875i
$361$	−0.727921	−	0.528866i	−0.0383116	−	0.0278350i
$362$	10.4692	−	4.79632i	0.550250	−	0.252089i
$363$	−3.92894	+	3.79923i	−0.206216	+	0.199408i
$364$	2.04550	−	1.24019i	0.107213	−	0.0650035i
$365$	−0.269786	−	3.61044i	−0.0141213	−	0.188979i
$366$	6.98058	−	4.47331i	0.364881	−	0.233824i
$367$	−7.51829	+	23.1389i	−0.392451	+	1.20784i	0.538477	+	0.842640i	$0.319000\pi$
$367$	−7.51829	+	23.1389i	−0.392451	+	1.20784i	−0.930929	+	0.365201i	$0.881000\pi$
$368$	19.4340	−	19.0689i	1.01307	−	0.994037i
$369$	−14.3474	−	0.481745i	−0.746896	−	0.0250786i
$370$	18.1592	+	32.9121i	0.944053	+	1.71102i
$371$	−1.96311	−	6.04183i	−0.101920	−	0.313676i
$372$	−1.31361	+	0.0749801i	−0.0681075	+	0.00388754i
$373$	−5.54884	+	7.63732i	−0.287308	+	0.395445i	−0.928137	−	0.372238i	$-0.878591\pi$
$373$	−5.54884	+	7.63732i	−0.287308	+	0.395445i	0.640830	+	0.767683i	$0.278591\pi$
$374$	−14.9928	−	3.01921i	−0.775259	−	0.156120i
$375$	−10.5869	+	16.2147i	−0.546705	+	0.837325i
$376$	−12.5395	+	18.4808i	−0.646674	+	0.953077i
$377$	2.01385	+	1.46315i	0.103719	+	0.0753561i
$378$	−3.99975	−	6.72844i	−0.205725	−	0.346074i
$379$	16.2370	−	5.27573i	0.834040	−	0.270996i	0.139294	−	0.990251i	$-0.455517\pi$
$379$	16.2370	−	5.27573i	0.834040	−	0.270996i	0.694746	+	0.719255i	$0.255517\pi$
$380$	5.72194	+	18.1456i	0.293529	+	0.930852i
$381$	2.78909	−	15.8800i	0.142890	−	0.813559i
$382$	−24.6792	−	4.96984i	−1.26270	−	0.254279i
$383$	−26.1325	−	8.49096i	−1.33531	−	0.433868i	−0.447583	−	0.894242i	$-0.647715\pi$
$383$	−26.1325	−	8.49096i	−1.33531	−	0.433868i	−0.887725	+	0.460374i	$0.847715\pi$
$384$	−15.9211	−	11.4245i	−0.812470	−	0.583004i
$385$	−8.93645	+	0.667767i	−0.455443	+	0.0340326i
$386$	−14.4679	+	13.3106i	−0.736398	+	0.677490i
$387$	−17.0511	+	21.8849i	−0.866758	+	1.11247i
$388$	−5.30323	−	22.5601i	−0.269231	−	1.14532i
$389$	3.37798	−	4.64939i	0.171270	−	0.235733i	−0.714750	−	0.699380i	$-0.753459\pi$
$389$	3.37798	−	4.64939i	0.171270	−	0.235733i	0.886020	+	0.463647i	$0.153459\pi$
$390$	−3.53405	+	5.03332i	−0.178954	+	0.254872i
$391$	−11.4999	−	15.8283i	−0.581576	−	0.800470i
$392$	−13.1009	+	10.1777i	−0.661697	+	0.514053i
$393$	−12.6448	+	1.78576i	−0.637844	+	0.0900796i
$394$	−15.6483	+	27.7874i	−0.788350	+	1.39991i
$395$	16.0792	−	26.0074i	0.809031	−	1.30857i
$396$	4.42539	+	22.1362i	0.222384	+	1.11239i
$397$	24.7422	−	8.03924i	1.24178	−	0.403478i	0.386809	−	0.922160i	$-0.373577\pi$
$397$	24.7422	−	8.03924i	1.24178	−	0.403478i	0.854967	+	0.518682i	$0.173577\pi$
$398$	2.24471	−	2.06515i	0.112517	−	0.103517i
$399$	1.09762	+	7.77216i	0.0549499	+	0.389094i
$400$	−6.51014	+	18.9108i	−0.325507	+	0.945540i
$401$		−	34.6984i		−	1.73275i	−0.499391	−	0.866376i	$-0.666443\pi$
$401$		−	34.6984i		−	1.73275i	0.499391	−	0.866376i	$-0.333557\pi$
$402$	−17.2330	−	14.1289i	−0.859506	−	0.704684i
$403$	0.131791	+	0.405612i	0.00656499	+	0.0202050i
$404$	−20.1690	−	1.68356i	−1.00344	−	0.0837603i
$405$	16.3689	+	11.7072i	0.813377	+	0.581737i
$406$	2.90988	+	1.63868i	0.144415	+	0.0813265i
$407$		−	44.7227i		−	2.21682i
$408$	−9.80271	+	10.1089i	−0.485307	+	0.500467i
$409$	−2.82912	+	2.05548i	−0.139891	+	0.101637i	−0.655530	−	0.755169i	$-0.727555\pi$
$409$	−2.82912	+	2.05548i	−0.139891	+	0.101637i	0.515639	+	0.856806i	$0.327555\pi$
$410$	7.31018	+	13.2491i	0.361024	+	0.654328i
$411$	12.8966	+	6.84614i	0.636142	+	0.337695i
$412$	−26.9856	+	6.34354i	−1.32949	+	0.312524i
$413$	−5.39149	+	3.91715i	−0.265298	+	0.192750i
$414$	−15.0067	+	24.6731i	−0.737542	+	1.21262i
$415$	−32.1540	+	13.1699i	−1.57838	+	0.646486i
$416$	−2.26893	+	5.93274i	−0.111243	+	0.290877i
$417$	−7.43554	−	1.30594i	−0.364120	−	0.0639523i
$418$	4.46887	−	22.1915i	0.218579	−	1.08542i
$419$	4.29638	−	13.2229i	0.209892	−	0.645981i	−0.789585	−	0.613641i	$-0.789704\pi$
$419$	4.29638	−	13.2229i	0.209892	−	0.645981i	0.999477	−	0.0323397i	$-0.0102958\pi$
$420$	−3.93190	+	7.25382i	−0.191857	+	0.353950i
$421$	−6.26295	−	19.2754i	−0.305238	−	0.939425i	−0.979588	−	0.201014i	$-0.935576\pi$
$421$	−6.26295	−	19.2754i	−0.305238	−	0.939425i	0.674351	−	0.738411i	$-0.264424\pi$
$422$	23.8766	−	2.76861i	1.16229	−	0.134774i
$423$	8.07194	−	22.2704i	0.392471	−	1.08282i
$424$	13.9588	+	9.47120i	0.677898	+	0.459962i
$425$	12.7533	+	6.62568i	0.618624	+	0.321393i
$426$	−12.3384	−	0.721657i	−0.597797	−	0.0349644i
$427$	−2.91683	−	2.11920i	−0.141155	−	0.102555i
$428$	7.23761	+	0.604144i	0.349843	+	0.0292024i
$429$	6.57450	−	3.21206i	0.317420	−	0.155080i
$430$	29.0190	+	3.62086i	1.39942	+	0.174614i
$431$	−2.67383	+	8.22920i	−0.128794	+	0.396386i	−0.994573	−	0.104039i	$-0.966823\pi$
$431$	−2.67383	+	8.22920i	−0.128794	+	0.396386i	0.865779	+	0.500426i	$0.166823\pi$
$432$	19.3479	+	7.59322i	0.930879	+	0.365329i
$433$	31.8729	+	10.3561i	1.53172	+	0.497684i	0.949076	−	0.315047i	$-0.102020\pi$
$433$	31.8729	+	10.3561i	1.53172	+	0.497684i	0.582639	+	0.812731i	$0.302020\pi$
$434$	0.238312	+	0.520177i	0.0114393	+	0.0249693i
$435$	−8.54378	−	0.850994i	−0.409643	−	0.0408020i
$436$	10.6500	+	17.5656i	0.510043	+	0.841239i
$437$	23.4281	−	17.0215i	1.12072	−	0.814251i
$438$	2.13987	+	3.33925i	0.102247	+	0.159556i
$439$	11.4376	−	15.7426i	0.545889	−	0.751351i	−0.443559	−	0.896245i	$-0.646284\pi$
$439$	11.4376	−	15.7426i	0.545889	−	0.751351i	0.989447	+	0.144894i	$0.0462842\pi$
$440$	17.6511	−	15.9580i	0.841483	−	0.760767i
$441$	10.8146	−	13.8805i	0.514982	−	0.660974i
$442$	3.97705	+	2.23965i	0.189169	+	0.106529i
$443$			13.0563i			0.620325i	0.950684	+	0.310163i	$0.100384\pi$
$443$			13.0563i			0.620325i	−0.950684	+	0.310163i	$0.899616\pi$
$444$	−34.6382	−	22.2656i	−1.64385	−	1.05668i
$445$	1.37642	+	18.4200i	0.0652484	+	0.873192i
$446$	0.257965	+	2.22470i	0.0122150	+	0.105343i
$447$	0.578422	−	0.282596i	0.0273584	−	0.0133663i
$448$	−2.10693	+	8.25694i	−0.0995431	+	0.390104i
$449$		−	18.7063i		−	0.882806i	−0.897309	−	0.441403i	$-0.854481\pi$
$449$		−	18.7063i		−	0.882806i	0.897309	−	0.441403i	$-0.145519\pi$
$450$	1.76107	−	21.1400i	0.0830176	−	0.996548i
$451$		−	18.0036i		−	0.847755i
$452$	−9.30041	−	15.3396i	−0.437454	−	0.721515i
$453$	−33.6321	+	16.4314i	−1.58018	+	0.772016i
$454$	7.13209	−	0.827004i	0.334726	−	0.0388132i
$455$	2.59806	+	0.634616i	0.121799	+	0.0297513i
$456$	−14.9627	−	14.5094i	−0.700692	−	0.679467i
$457$			35.1109i			1.64242i	0.570627	+	0.821210i	$0.306700\pi$
$457$			35.1109i			1.64242i	−0.570627	+	0.821210i	$0.693300\pi$
$458$	−9.59128	+	17.0317i	−0.448171	+	0.795837i
$459$	7.44170	−	12.9495i	0.347349	−	0.604432i
$460$	30.4394	+	0.264659i	1.41925	+	0.0123398i
$461$	−3.62536	+	4.98988i	−0.168850	+	0.232402i	−0.885053	−	0.465490i	$-0.845878\pi$
$461$	−3.62536	+	4.98988i	−0.168850	+	0.232402i	0.716203	+	0.697892i	$0.245878\pi$
$462$	8.26522	−	5.29654i	0.384533	−	0.246417i
$463$	−14.6195	+	10.6217i	−0.679425	+	0.493631i	−0.873167	−	0.487421i	$-0.837938\pi$
$463$	−14.6195	+	10.6217i	−0.679425	+	0.493631i	0.193742	+	0.981053i	$0.437938\pi$
$464$	−8.77122	+	1.30411i	−0.407194	+	0.0605419i
$465$	−1.09855	−	0.978360i	−0.0509438	−	0.0453703i
$466$	−8.65092	+	3.96330i	−0.400746	+	0.183596i
$467$	30.6430	+	9.95653i	1.41799	+	0.460733i	0.914963	−	0.403537i	$-0.132219\pi$
$467$	30.6430	+	9.95653i	1.41799	+	0.460733i	0.503028	+	0.864270i	$0.332219\pi$
$468$	0.785403	−	6.69117i	0.0363053	−	0.309299i
$469$	−2.99460	+	9.21642i	−0.138278	+	0.425575i
$470$	−24.5200	+	4.71632i	−1.13102	+	0.217548i
$471$	5.92752	−	2.89597i	0.273126	−	0.133439i
$472$	4.92432	−	16.9968i	0.226660	−	0.782341i
$473$	−28.1486	−	20.4511i	−1.29427	−	0.940344i
$474$	−1.95573	+	33.4378i	−0.0898298	+	1.53585i
$475$	−9.80697	+	18.8767i	−0.449975	+	0.866122i
$476$	5.64614	+	2.37012i	0.258790	+	0.108634i
$477$	−16.8211	−	6.09682i	−0.770184	−	0.279154i
$478$	2.34026	+	20.1824i	0.107041	+	0.923122i
$479$	3.14794	+	9.68838i	0.143833	+	0.442673i	0.996859	−	0.0791954i	$-0.0252351\pi$
$479$	3.14794	+	9.68838i	0.143833	+	0.442673i	−0.853026	+	0.521869i	$0.825235\pi$
$480$	−3.57185	−	21.6158i	−0.163032	−	0.986621i
$481$	−4.12449	+	12.6939i	−0.188061	+	0.578791i
$482$	33.7742	+	6.80135i	1.53837	+	0.309793i
$483$	12.3688	+	2.17240i	0.562801	+	0.0988476i
$484$	−6.14345	+	1.44415i	−0.279248	+	0.0656432i
$485$	13.6254	−	22.0386i	0.618700	−	1.00072i
$486$	−21.8719	−	2.76056i	−0.992129	−	0.125222i
$487$	4.70083	−	3.41535i	0.213015	−	0.154764i	−0.476162	−	0.879358i	$-0.657972\pi$
$487$	4.70083	−	3.41535i	0.213015	−	0.154764i	0.689177	+	0.724593i	$0.257972\pi$
$488$	9.56855	−	0.307830i	0.433148	−	0.0139348i
$489$	−14.2136	−	7.54528i	−0.642761	−	0.341209i
$490$	−18.4052	−	2.29652i	−0.831463	−	0.103746i
$491$	15.1802	−	11.0290i	0.685071	−	0.497734i	−0.189965	−	0.981791i	$-0.560837\pi$
$491$	15.1802	−	11.0290i	0.685071	−	0.497734i	0.875036	+	0.484057i	$0.160837\pi$
$492$	−13.9440	−	8.96325i	−0.628642	−	0.404095i
$493$			6.37215i			0.286987i
$494$	−3.31501	+	5.88660i	−0.149149	+	0.264851i
$495$	−13.9851	+	21.0098i	−0.628585	+	0.944320i
$496$	−1.34710	−	0.702547i	−0.0604866	−	0.0315453i
$497$	1.66086	+	5.11161i	0.0744999	+	0.229287i
$498$	24.1327	−	29.4348i	1.08141	−	1.31900i
$499$			12.9825i			0.581176i	0.956848	+	0.290588i	$0.0938510\pi$
$499$			12.9825i			0.581176i	−0.956848	+	0.290588i	$0.906149\pi$
$500$	−20.0893	+	9.81936i	−0.898421	+	0.439135i
$501$	4.62461	+	32.7463i	0.206612	+	1.46300i
$502$	13.8027	+	15.0029i	0.616045	+	0.669611i
$503$	16.8618	−	5.47872i	0.751828	−	0.244284i	0.0920606	−	0.995753i	$-0.470655\pi$
$503$	16.8618	−	5.47872i	0.751828	−	0.244284i	0.659768	+	0.751470i	$0.270655\pi$
$504$	0.0126953	−	9.03843i	0.000565494	−	0.402603i
$505$	−14.6276	−	17.2645i	−0.650918	−	0.768258i
$506$	−31.5573	−	17.7713i	−1.40289	−	0.790032i
$507$	20.1331	−	2.84330i	0.894143	−	0.126276i
$508$	12.1580	−	14.0993i	0.539423	−	0.625555i
$509$	−7.18389	−	9.88778i	−0.318420	−	0.438268i	0.619564	−	0.784946i	$-0.287310\pi$
$509$	−7.18389	−	9.88778i	−0.318420	−	0.438268i	−0.937984	+	0.346678i	$0.887310\pi$
$510$	−15.7413	+	0.254453i	−0.697038	+	0.0112674i
$511$	1.01375	−	1.39530i	0.0448455	−	0.0617246i
$512$	−9.03276	−	20.7463i	−0.399195	−	0.916866i
$513$	19.1672	+	11.0148i	0.846252	+	0.486315i
$514$	25.5030	+	27.7205i	1.12489	+	1.22270i
$515$	−26.3618	−	16.2983i	−1.16164	−	0.718188i
$516$	−29.8536	+	11.6196i	−1.31423	+	0.511523i
$517$	28.2539	+	9.18023i	1.24260	+	0.403746i
$518$	−3.53498	+	17.5540i	−0.155318	+	0.771278i
$519$	−3.59189	+	20.4509i	−0.157666	+	0.897693i
$520$	−6.48171	+	2.90159i	−0.284242	+	0.127243i
$521$	−24.6446	+	8.00751i	−1.07970	+	0.350815i	−0.794258	−	0.607581i	$-0.792140\pi$
$521$	−24.6446	+	8.00751i	−1.07970	+	0.350815i	−0.285441	+	0.958396i	$0.592140\pi$
$522$	8.67754	−	3.62831i	0.379806	−	0.158807i
$523$	−20.8125	−	15.1212i	−0.910066	−	0.661202i	0.0309652	−	0.999520i	$-0.490142\pi$
$523$	−20.8125	−	15.1212i	−0.910066	−	0.661202i	−0.941032	+	0.338318i	$0.890142\pi$
$524$	−13.5964	−	5.70748i	−0.593963	−	0.249332i
$525$	−8.84102	+	2.63315i	−0.385854	+	0.114920i
$526$	−4.23432	+	21.0268i	−0.184625	+	0.916812i
$527$	−0.641709	+	0.883237i	−0.0279533	+	0.0384744i
$528$	−8.70319	+	24.5706i	−0.378758	+	1.06930i
$529$	−7.20982	−	22.1895i	−0.313470	−	0.964762i
$530$	3.56229	+	18.5202i	0.154736	+	0.804467i
$531$	−0.629861	+	18.7586i	−0.0273337	+	0.814055i
$532$	−3.50813	+	8.35711i	−0.152097	+	0.362327i
$533$	−1.66036	+	5.11005i	−0.0719181	+	0.221341i
$534$	−10.9173	−	17.0365i	−0.472440	−	0.737240i
$535$	5.24908	+	6.19533i	0.226938	+	0.267847i
$536$	−8.73442	−	24.2043i	−0.377270	−	1.04547i
$537$	−3.80765	+	3.68195i	−0.164312	+	0.158888i
$538$	9.47253	+	20.6762i	0.408390	+	0.891416i
$539$	17.8532	+	12.9711i	0.768990	+	0.558704i
$540$	9.30966	+	21.2916i	0.400624	+	0.916243i
$541$	6.60000	−	4.79518i	0.283756	−	0.206161i	−0.436798	−	0.899560i	$-0.643888\pi$
$541$	6.60000	−	4.79518i	0.283756	−	0.206161i	0.720554	+	0.693399i	$0.243888\pi$
$542$	−17.1554	−	9.66097i	−0.736888	−	0.414974i
$543$	−13.9651	+	1.97222i	−0.599300	+	0.0846362i
$544$	−15.7004	+	4.22780i	−0.673151	+	0.181265i
$545$	−5.44972	+	22.3107i	−0.233440	+	0.955684i
$546$	−2.83443	+	0.741096i	−0.121302	+	0.0317160i
$547$	3.33780	+	10.2727i	0.142714	+	0.439228i	0.996710	−	0.0810512i	$-0.0258277\pi$
$547$	3.33780	+	10.2727i	0.142714	+	0.439228i	−0.853996	+	0.520280i	$0.825828\pi$
$548$	8.74103	+	14.4170i	0.373398	+	0.615864i
$549$	−9.75711	+	2.81198i	−0.416423	+	0.120013i
$550$	26.5713	+	1.31766i	1.13301	+	0.0561850i
$551$	−9.43170			−0.401804
$552$	−29.4752	+	15.5938i	−1.25455	+	0.663718i
$553$	13.8528	−	4.50104i	0.589080	−	0.191404i
$554$	21.7085	−	2.51722i	0.922306	−	0.106946i
$555$	−9.81671	−	44.9787i	−0.416696	−	1.90924i
$556$	−6.60173	−	5.69275i	−0.279976	−	0.241426i
$557$	−11.5067			−0.487554			−0.243777	−	0.969831i	$-0.578386\pi$
$557$	−11.5067			−0.487554			−0.243777	+	0.969831i	$0.578386\pi$
$558$	1.56818	+	0.370958i	0.0663862	+	0.0157039i
$559$	6.10348	+	8.40073i	0.258150	+	0.355313i
$560$	−8.18954	+	4.86845i	−0.346071	+	0.205729i
$561$	16.5444	+	8.78256i	0.698504	+	0.370800i
$562$	−14.1589	−	30.9055i	−0.597258	−	1.30367i
$563$	19.9046	+	27.3963i	0.838878	+	1.15462i	0.986205	+	0.165529i	$0.0529331\pi$
$563$	19.9046	+	27.3963i	0.838878	+	1.15462i	−0.147327	+	0.989088i	$0.547067\pi$
$564$	21.1766	−	17.3124i	0.891697	−	0.728985i
$565$	4.75911	−	19.4834i	0.200217	−	0.819673i
$566$	−30.9353	+	14.1726i	−1.30031	+	0.595717i
$567$	2.34419	+	9.29568i	0.0984469	+	0.390382i
$568$	−11.8096	−	8.01299i	−0.495522	−	0.336218i
$569$	28.3556	+	9.21329i	1.18873	+	0.386241i	0.835603	−	0.549334i	$-0.185119\pi$
$569$	28.3556	+	9.21329i	1.18873	+	0.386241i	0.353126	+	0.935576i	$0.385119\pi$
$570$	−0.376627	−	23.2995i	−0.0157752	−	0.975907i
$571$	21.9256	−	7.12405i	0.917557	−	0.298132i	0.188093	−	0.982151i	$-0.439769\pi$
$571$	21.9256	−	7.12405i	0.917557	−	0.298132i	0.729464	+	0.684019i	$0.239769\pi$
$572$	8.41989	+	0.702832i	0.352053	+	0.0293869i
$573$	27.2332	+	14.4567i	1.13769	+	0.603939i
$574$	−1.42304	+	7.06654i	−0.0593966	+	0.294952i
$575$	23.8743	+	24.2550i	0.995628	+	1.01150i
$576$	14.6972	+	18.9734i	0.612385	+	0.790560i
$577$	18.9329	−	26.0589i	0.788186	−	1.08484i	−0.206146	−	0.978521i	$-0.566092\pi$
$577$	18.9329	−	26.0589i	0.788186	−	1.08484i	0.994332	−	0.106323i	$-0.0339079\pi$
$578$	−1.42340	−	12.2754i	−0.0592055	−	0.510589i
$579$	21.6338	−	10.5695i	0.899072	−	0.439254i
$580$	−7.96989	−	5.89701i	−0.330931	−	0.244860i
$581$	−15.7420	−	5.11490i	−0.653090	−	0.212202i
$582$	−1.65728	+	28.3351i	−0.0686966	+	1.17453i
$583$	6.93393	−	21.3404i	0.287174	−	0.883830i
$584$	0.147255	+	4.57725i	0.00609345	+	0.189408i
$585$	5.90708	−	4.67356i	0.244228	−	0.193228i
$586$	9.73744	+	10.5841i	0.402250	+	0.437226i
$587$	16.0298	+	22.0631i	0.661621	+	0.910643i	0.999534	−	0.0305344i	$-0.00972091\pi$
$587$	16.0298	+	22.0631i	0.661621	+	0.910643i	−0.337913	+	0.941177i	$0.609721\pi$
$588$	18.9346	−	7.36968i	0.780849	−	0.303920i
$589$	−1.30732	−	0.949823i	−0.0538672	−	0.0391368i
$590$	17.3227	−	9.55775i	0.713163	−	0.393486i
$591$	28.0776	−	27.1507i	1.15496	−	1.11683i
$592$	−21.1834	−	42.5677i	−0.870634	−	1.74952i
$593$	41.0713			1.68660			0.843299	−	0.537445i	$-0.180611\pi$
$593$	41.0713			1.68660			0.843299	+	0.537445i	$0.180611\pi$
$594$	2.53963	−	27.5308i	0.104202	−	1.12960i
$595$	2.59490	+	6.33538i	0.106380	+	0.259725i
$596$	0.740778	+	0.0618349i	0.0303435	+	0.00253285i
$597$	−3.35651	+	1.63987i	−0.137373	+	0.0671154i
$598$	7.31815	+	7.95447i	0.299261	+	0.325282i
$599$	−9.65061			−0.394313			−0.197157	−	0.980372i	$-0.563171\pi$
$599$	−9.65061			−0.394313			−0.197157	+	0.980372i	$0.563171\pi$
$600$	14.2493	−	19.9238i	0.581727	−	0.813384i
$601$	−20.7168			−0.845054			−0.422527	−	0.906350i	$-0.638857\pi$
$601$	−20.7168			−0.845054			−0.422527	+	0.906350i	$0.638857\pi$
$602$	9.43203	+	10.2521i	0.384421	+	0.417846i
$603$	15.2924	+	22.6064i	0.622753	+	0.920602i
$604$	−43.0723	−	3.59537i	−1.75259	−	0.146293i
$605$	−6.00144	−	3.71041i	−0.243993	−	0.150850i
$606$	23.0871	+	9.02326i	0.937848	+	0.366545i
$607$	13.9554			0.566431			0.283216	−	0.959056i	$-0.408599\pi$
$607$	13.9554			0.566431			0.283216	+	0.959056i	$0.408599\pi$
$608$	−6.25775	−	23.2389i	−0.253785	−	0.942463i
$609$	−2.84321	−	2.94028i	−0.115213	−	0.119146i
$610$	7.81372	+	7.31511i	0.316368	+	0.296180i
$611$	−7.17281	−	5.21135i	−0.290181	−	0.210829i
$612$	15.0390	−	8.44130i	0.607914	−	0.341219i
$613$	−0.153307	−	0.211009i	−0.00619200	−	0.00852256i	0.805910	−	0.592038i	$-0.201677\pi$
$613$	−0.153307	−	0.211009i	−0.00619200	−	0.00852256i	−0.812102	+	0.583516i	$0.801677\pi$
$614$	−2.90383	−	3.15632i	−0.117189	−	0.127379i
$615$	−3.95182	−	18.1066i	−0.159353	−	0.730130i
$616$	11.3295	−	0.364481i	0.456477	−	0.0146853i
$617$	−0.797927	+	2.45577i	−0.0321233	+	0.0988655i	−0.965833	−	0.259167i	$-0.916552\pi$
$617$	−0.797927	+	2.45577i	−0.0321233	+	0.0988655i	0.933709	+	0.358032i	$0.116552\pi$
$618$	33.8934	+	1.98238i	1.36339	+	0.0797432i
$619$	42.5094	+	13.8121i	1.70860	+	0.555157i	0.990099	−	0.140371i	$-0.0448295\pi$
$619$	42.5094	+	13.8121i	1.70860	+	0.555157i	0.718499	+	0.695528i	$0.244829\pi$
$620$	−0.510838	−	1.61999i	−0.0205157	−	0.0650603i
$621$	26.2364	−	23.7192i	1.05283	−	0.951818i
$622$	−4.62141	−	39.8551i	−0.185302	−	1.59805i
$623$	−5.17201	+	7.11866i	−0.207212	+	0.285203i
$624$	4.73627	−	6.17138i	0.189603	−	0.247053i
$625$	−23.6512	−	8.10053i	−0.946050	−	0.324021i
$626$	0.328732	−	1.63242i	0.0131388	−	0.0652446i
$627$	−12.9995	+	24.4881i	−0.519149	+	0.977959i
$628$	7.59130	+	0.633668i	0.302926	+	0.0252861i
$629$	−32.4945	+	10.5581i	−1.29564	+	0.420979i
$630$	7.14993	−	7.14109i	0.284860	−	0.284508i
$631$	−2.19977	−	0.714749i	−0.0875715	−	0.0284537i	0.264904	−	0.964275i	$-0.414660\pi$
$631$	−2.19977	−	0.714749i	−0.0875715	−	0.0284537i	−0.352475	+	0.935821i	$0.614660\pi$
$632$	−21.7157	+	32.0048i	−0.863803	+	1.27308i
$633$	−28.9948	−	5.09251i	−1.15244	−	0.202409i
$634$	−0.638550	+	0.292543i	−0.0253601	+	0.0116184i
$635$	20.7570	−	1.55104i	0.823716	−	0.0615513i
$636$	−13.0763	−	15.9949i	−0.518507	−	0.634240i
$637$	−3.87112	−	5.32814i	−0.153379	−	0.211108i
$638$	4.91300	+	10.7239i	0.194507	+	0.424563i
$639$	14.2313	+	5.15814i	0.562980	+	0.204053i
$640$	9.24187	−	23.5497i	0.365317	−	0.930883i
$641$	16.9735	+	23.3620i	0.670413	+	0.922745i	0.999770	−	0.0214611i	$-0.00683180\pi$
$641$	16.9735	+	23.3620i	0.670413	+	0.922745i	−0.329357	+	0.944206i	$0.606832\pi$
$642$	−8.28477	−	3.23799i	−0.326974	−	0.127793i
$643$	−28.5484			−1.12584			−0.562920	−	0.826511i	$-0.690322\pi$
$643$	−28.5484			−1.12584			−0.562920	+	0.826511i	$0.690322\pi$
$644$	10.9818	+	9.46974i	0.432744	+	0.373160i
$645$	−32.7988	−	14.3895i	−1.29145	−	0.566588i
$646$	−17.1789	+	1.99198i	−0.675894	+	0.0783735i
$647$	−15.3388	+	4.98389i	−0.603032	+	0.195937i	−0.594592	−	0.804027i	$-0.702687\pi$
$647$	−15.3388	+	4.98389i	−0.603032	+	0.195937i	−0.00843998	+	0.999964i	$0.502687\pi$
$648$	−20.0585	−	15.6734i	−0.787972	−	0.615711i
$649$	−23.5389			−0.923983
$650$	−7.42037	−	2.82451i	−0.291051	−	0.110786i
$651$	−0.0979926	−	0.693875i	−0.00384063	−	0.0271951i
$652$	−9.63367	−	15.8893i	−0.377284	−	0.622272i
$653$	−6.14191	−	18.9029i	−0.240352	−	0.739726i	−0.996366	−	0.0851714i	$-0.972856\pi$
$653$	−6.14191	−	18.9029i	−0.240352	−	0.739726i	0.756015	−	0.654555i	$-0.227144\pi$
$654$	−6.36410	−	24.3404i	−0.248856	−	0.951786i
$655$	−6.24875	−	15.2562i	−0.244159	−	0.596108i
$656$	−8.52761	−	17.1361i	−0.332947	−	0.669051i
$657$	−1.34515	−	4.66745i	−0.0524793	−	0.182094i
$658$	−10.3642	−	5.83656i	−0.404040	−	0.227533i
$659$	34.8156	−	25.2950i	1.35622	−	0.985354i	0.357548	−	0.933895i	$-0.383613\pi$
$659$	34.8156	−	25.2950i	1.35622	−	0.985354i	0.998675	−	0.0514590i	$-0.0163872\pi$
$660$	−26.2954	+	12.5650i	−1.02355	+	0.489091i
$661$	16.7406	+	12.1628i	0.651135	+	0.473077i	0.863658	−	0.504079i	$-0.168168\pi$
$661$	16.7406	+	12.1628i	0.651135	+	0.473077i	−0.212523	+	0.977156i	$0.568168\pi$
$662$	−3.57866	−	7.81136i	−0.139089	−	0.303597i
$663$	−3.88592	−	4.01859i	−0.150917	−	0.156069i
$664$	41.3420	−	14.9188i	1.60438	−	0.578961i
$665$	−9.37728	+	3.84082i	−0.363635	+	0.148941i
$666$	32.8804	+	38.2390i	1.27409	+	1.48173i
$667$	−4.66303	+	14.3513i	−0.180553	+	0.555686i
$668$	−14.7808	+	35.2109i	−0.571885	+	1.36235i
$669$	0.474494	−	2.70159i	0.0183450	−	0.104450i
$670$	12.2095	−	26.0499i	0.471695	−	1.00640i
$671$	−3.93523	−	12.1114i	−0.151918	−	0.467555i
$672$	5.35818	−	8.95624i	0.206696	−	0.345495i
$673$	−18.0086	+	24.7867i	−0.694180	+	0.955457i	0.305814	+	0.952091i	$0.401071\pi$
$673$	−18.0086	+	24.7867i	−0.694180	+	0.955457i	−0.999994	+	0.00336563i	$0.998929\pi$
$674$	2.46727	−	12.2520i	0.0950357	−	0.471928i
$675$	−9.45351	+	24.1998i	−0.363866	+	0.931451i
$676$	21.6484	+	9.08751i	0.832630	+	0.349520i
$677$	17.9811	+	13.0640i	0.691070	+	0.502092i	0.877012	−	0.480469i	$-0.159534\pi$
$677$	17.9811	+	13.0640i	0.691070	+	0.502092i	−0.185942	+	0.982561i	$0.559534\pi$
$678$	5.55762	+	21.2559i	0.213439	+	0.816330i
$679$	11.7388	−	3.81417i	0.450494	−	0.146374i
$680$	−15.7618	−	9.05755i	−0.604437	−	0.347341i
$681$	−8.66095	−	1.52117i	−0.331888	−	0.0582913i
$682$	−0.398967	+	1.98119i	−0.0152772	+	0.0758638i
$683$	2.21814	+	0.720716i	0.0848746	+	0.0275774i	0.351147	−	0.936321i	$-0.385792\pi$
$683$	2.21814	+	0.720716i	0.0848746	+	0.0275774i	−0.266272	+	0.963898i	$0.585792\pi$
$684$	12.4943	+	22.2598i	0.477733	+	0.851126i
$685$	−4.47287	+	18.3116i	−0.170900	+	0.699648i
$686$	−13.1217	−	14.2627i	−0.500989	−	0.544551i
$687$	17.2096	−	16.6414i	0.656585	−	0.634909i
$688$	−36.4792	−	6.13277i	−1.39075	−	0.233810i
$689$	−3.93619	+	5.41770i	−0.149957	+	0.206398i
$690$	−35.6388	−	10.9462i	−1.35675	−	0.416714i
$691$	−14.6482	−	20.1615i	−0.557244	−	0.766980i	0.433729	−	0.901043i	$-0.357198\pi$
$691$	−14.6482	−	20.1615i	−0.557244	−	0.766980i	−0.990973	+	0.134063i	$0.957198\pi$
$692$	−15.6575	+	18.1575i	−0.595207	+	0.690246i
$693$	−11.5527	+	3.32947i	−0.438852	+	0.126476i
$694$	38.6387	+	21.7592i	1.46671	+	0.825967i
$695$	−0.726248	−	9.71908i	−0.0275482	−	0.368666i
$696$	10.7517	+	1.53382i	0.407544	+	0.0581394i
$697$	−13.0810	+	4.25028i	−0.495478	+	0.160991i
$698$	−9.96880	−	10.8356i	−0.377325	−	0.410133i
$699$	11.5396	−	1.62969i	0.436470	−	0.0616405i
$700$	−10.3253	−	2.61744i	−0.390260	−	0.0989301i
$701$		−	9.33962i		−	0.352753i	−0.984323	−	0.176376i	$-0.943562\pi$
$701$		−	9.33962i		−	0.352753i	0.984323	−	0.176376i	$-0.0564376\pi$
$702$	−3.25983	+	7.58000i	−0.123034	+	0.286089i
$703$	−15.6275	−	48.0966i	−0.589404	−	1.81400i
$704$	−23.1631	+	19.2203i	−0.872992	+	0.724393i
$705$	30.4307	+	3.03101i	1.14609	+	0.114155i
$706$	6.44491	−	11.4445i	0.242558	−	0.430720i
$707$		−	10.7792i		−	0.405395i
$708$	−11.7191	+	18.2311i	−0.440430	+	0.685168i
$709$	36.3736	−	26.4270i	1.36604	−	0.992485i	0.368004	−	0.929824i	$-0.380041\pi$
$709$	36.3736	−	26.4270i	1.36604	−	0.992485i	0.998035	−	0.0626614i	$-0.0199588\pi$
$710$	−3.01383	−	15.6688i	−0.113107	−	0.588040i
$711$	13.9789	−	38.5676i	0.524248	−	1.44640i
$712$	−0.751275	−	23.3525i	−0.0281552	−	0.875173i
$713$	−2.09159	+	1.51963i	−0.0783308	+	0.0569107i
$714$	−5.79960	−	4.75492i	−0.217044	−	0.177949i
$715$	6.10653	+	7.20735i	0.228371	+	0.269540i
$716$	−5.95381	+	1.39957i	−0.222504	+	0.0523044i
$717$	4.30460	−	24.5088i	0.160758	−	0.915297i
$718$	35.1333	+	7.07506i	1.31116	+	0.264039i
$719$	−5.63305	+	17.3368i	−0.210077	+	0.646552i	0.789389	+	0.613893i	$0.210397\pi$
$719$	−5.63305	+	17.3368i	−0.210077	+	0.646552i	−0.999467	+	0.0326586i	$0.989603\pi$
$720$	−3.35972	+	26.6217i	−0.125209	+	0.992130i
$721$	−4.56237	−	14.0415i	−0.169912	−	0.522934i
$722$	0.146566	+	1.26398i	0.00545461	+	0.0470406i
$723$	−37.2694	−	19.7844i	−1.38606	−	0.735791i
$724$	−15.0162	−	6.30345i	−0.558071	−	0.234266i
$725$	−1.64737	−	10.9615i	−0.0611816	−	0.407098i
$726$	7.71607	+	0.451303i	0.286370	+	0.0167494i
$727$	33.0545	+	24.0155i	1.22592	+	0.890686i	0.996578	−	0.0826588i	$-0.0263412\pi$
$727$	33.0545	+	24.0155i	1.22592	+	0.890686i	0.229346	+	0.973345i	$0.426341\pi$
$728$	−3.24932	−	0.941393i	−0.120428	−	0.0348903i
$729$	24.7097	+	10.8825i	0.915176	+	0.403055i
$730$	−3.49928	+	3.73780i	−0.129514	+	0.138342i
$731$	−8.21405	+	25.2802i	−0.303808	+	0.935023i
$732$	−11.3396	−	2.98190i	−0.419123	−	0.110214i
$733$	14.0288	+	4.55822i	0.518165	+	0.168362i	0.556412	−	0.830906i	$-0.312178\pi$
$733$	14.0288	+	4.55822i	0.518165	+	0.168362i	−0.0382476	+	0.999268i	$0.512178\pi$
$734$	31.2809	−	14.3309i	1.15460	−	0.528963i
$735$	20.8025	+	9.12653i	0.767313	+	0.336637i
$736$	−38.4543	−	1.96749i	−1.41745	−	0.0725228i
$737$	−27.6916	+	20.1191i	−1.02003	+	0.741098i
$738$	13.2363	+	15.3935i	0.487236	+	0.566643i
$739$	−3.77113	+	5.19052i	−0.138723	+	0.190936i	−0.872726	−	0.488210i	$-0.837650\pi$
$739$	−3.77113	+	5.19052i	−0.138723	+	0.190936i	0.734003	+	0.679147i	$0.237650\pi$
$740$	16.8661	−	50.4130i	0.620011	−	1.85322i
$741$	5.94809	−	5.75172i	0.218509	−	0.211295i
$742$	−4.40841	+	7.82821i	−0.161838	+	0.287383i
$743$		−	0.134545i		−	0.00493599i	−0.999997	−	0.00246800i	$-0.999214\pi$
$743$		−	0.134545i		−	0.00493599i	0.999997	−	0.00246800i	$-0.000785588\pi$
$744$	1.33582	+	1.29536i	0.0489737	+	0.0474902i
$745$	0.537250	+	0.634099i	0.0196833	+	0.0232316i
$746$	13.2617	−	1.53776i	0.485544	−	0.0563014i
$747$	−38.6127	+	26.1200i	−1.41276	+	0.955682i
$748$	11.2134	+	18.4948i	0.410003	+	0.676238i
$749$			3.86812i			0.141338i
$750$	27.0127	−	4.50726i	0.986363	−	0.164582i
$751$		−	2.79895i		−	0.102135i	−0.998695	−	0.0510676i	$-0.983738\pi$
$751$		−	2.79895i		−	0.102135i	0.998695	−	0.0510676i	$-0.0162624\pi$
$752$	31.2408	−	4.64491i	1.13923	−	0.169382i
$753$	−10.9603	−	22.4337i	−0.399416	−	0.817531i
$754$	−0.405486	−	3.49691i	−0.0147669	−	0.127350i
$755$	−31.2382	−	36.8695i	−1.13688	−	1.34182i
$756$	−3.17292	+	10.6053i	−0.115398	+	0.385711i
$757$		−	12.7242i		−	0.462467i	−0.972898	−	0.231234i	$-0.925724\pi$
$757$		−	12.7242i		−	0.462467i	0.972898	−	0.231234i	$-0.0742762\pi$
$758$	−21.0378	−	11.8473i	−0.764128	−	0.430314i
$759$	30.8342	+	31.8870i	1.11921	+	1.15742i
$760$	13.4065	−	23.3297i	0.486304	−	0.846258i
$761$	16.0710	−	22.1199i	0.582575	−	0.801846i	−0.411400	−	0.911455i	$-0.634960\pi$
$761$	16.0710	−	22.1199i	0.582575	−	0.801846i	0.993975	+	0.109609i	$0.0349599\pi$
$762$	−19.1979	+	12.3024i	−0.695467	+	0.445671i
$763$	−8.85109	+	6.43069i	−0.320431	+	0.232807i
$764$	18.4581	+	30.4439i	0.667790	+	1.10142i
$765$	18.5669	+	5.20132i	0.671286	+	0.188054i
$766$	16.1849	+	35.3278i	0.584786	+	1.27645i
$767$	6.68118	+	2.17085i	0.241243	+	0.0783847i
$768$	3.35436	+	27.5091i	0.121040	+	0.992648i
$769$	2.64404	−	8.13751i	0.0953465	−	0.293446i	−0.891997	−	0.452041i	$-0.850696\pi$
$769$	2.64404	−	8.13751i	0.0953465	−	0.293446i	0.987344	+	0.158594i	$0.0506962\pi$
$770$	9.25168	+	8.66131i	0.333407	+	0.312132i
$771$	−20.2512	−	41.4504i	−0.729328	−	1.49280i
$772$	27.7062	+	2.31272i	0.997169	+	0.0832365i
$773$	−19.0205	−	13.8192i	−0.684121	−	0.497043i	0.190601	−	0.981668i	$-0.438956\pi$
$773$	−19.0205	−	13.8192i	−0.684121	−	0.497043i	−0.874722	+	0.484624i	$0.838956\pi$
$774$	39.1035	−	3.20878i	1.40555	−	0.115337i
$775$	0.875537	−	1.68525i	0.0314502	−	0.0605361i
$776$	−18.4018	+	27.1208i	−0.660586	+	0.973581i
$777$	10.2829	−	19.3706i	0.368896	−	0.694917i
$778$	−8.07333	+	0.936146i	−0.289443	+	0.0335625i
$779$	−6.29103	−	19.3618i	−0.225399	−	0.693708i
$780$	8.62236	−	1.14132i	0.308730	−	0.0408660i
$781$	−5.86636	+	18.0548i	−0.209915	+	0.646052i
$782$	−5.46222	+	27.1243i	−0.195329	+	0.969964i
$783$	−11.4538	+	1.22717i	−0.409327	+	0.0438553i
$784$	23.1368	+	3.88969i	0.826314	+	0.138918i
$785$	5.50560	+	6.49809i	0.196503	+	0.231927i
$786$	13.9660	+	11.4503i	0.498150	+	0.408419i
$787$	−23.7830	+	17.2794i	−0.847773	+	0.615943i	−0.924531	−	0.381107i	$-0.875543\pi$
$787$	−23.7830	+	17.2794i	−0.847773	+	0.615943i	0.0767584	+	0.997050i	$0.475543\pi$
$788$	43.9034	−	10.3204i	1.56399	−	0.367650i
$789$	12.3172	−	23.2028i	0.438503	−	0.826042i
$790$	−42.4634	+	8.16766i	−1.51078	+	0.290592i
$791$	7.72945	−	5.61578i	0.274828	−	0.199674i
$792$	18.8012	−	25.8013i	0.668071	−	0.916810i
$793$			3.80057i			0.134962i
$794$	−32.0577	−	18.0531i	−1.13769	−	0.640682i
$795$	2.28936	−	22.9846i	0.0811951	−	0.815180i
$796$	−4.29865	−	0.358821i	−0.152362	−	0.0127181i
$797$	16.5271	+	50.8650i	0.585418	+	1.80173i	0.597584	+	0.801806i	$0.296128\pi$
$797$	16.5271	+	50.8650i	0.585418	+	1.80173i	−0.0121654	+	0.999926i	$0.503872\pi$
$798$	7.03798	−	8.58424i	0.249142	−	0.303879i
$799$		−	22.6959i		−	0.802923i
$800$	25.9151	−	11.3317i	0.916238	−	0.400635i
$801$	6.86279	+	23.8127i	0.242485	+	0.841381i
$802$	−36.1127	+	33.2239i	−1.27518	+	1.17318i
$803$	5.79365	−	1.88247i	0.204454	−	0.0664310i
$804$	1.79594	+	31.4640i	0.0633381	+	1.10965i
$805$	1.20809	+	16.1674i	0.0425797	+	0.569827i
$806$	0.295954	−	0.525539i	0.0104245	−	0.0185113i
$807$	−3.89506	−	27.5805i	−0.137112	−	0.970878i
$808$	17.5597	+	22.6031i	0.617748	+	0.795174i
$809$	−8.86942	−	12.2077i	−0.311832	−	0.429200i	0.624119	−	0.781329i	$-0.285458\pi$
$809$	−8.86942	−	12.2077i	−0.311832	−	0.429200i	−0.935951	+	0.352129i	$0.885458\pi$
$810$	−3.48889	−	28.2458i	−0.122587	−	0.992458i
$811$	−8.45881	+	11.6426i	−0.297029	+	0.408825i	−0.931281	−	0.364301i	$-0.881308\pi$
$811$	−8.45881	+	11.6426i	−0.297029	+	0.408825i	0.634252	+	0.773126i	$0.281308\pi$
$812$	−1.08075	−	4.59754i	−0.0379269	−	0.161342i
$813$	16.7623	+	17.3346i	0.587880	+	0.607951i
$814$	−46.5456	+	42.8222i	−1.63142	+	1.50092i
$815$	4.92965	−	20.1815i	0.172678	−	0.706929i
$816$	19.9071	+	0.522926i	0.696889	+	0.0183061i
$817$	−37.4184	−	12.1580i	−1.30910	−	0.425354i
$818$	4.84816	+	0.976309i	0.169512	+	0.0341359i
$819$	3.58613	+	0.120412i	0.125309	+	0.00420753i
$820$	6.78964	−	20.2943i	0.237104	−	0.708706i
$821$	−36.2795	+	11.7879i	−1.26616	+	0.411401i	−0.863687	−	0.504029i	$-0.831850\pi$
$821$	−36.2795	+	11.7879i	−1.26616	+	0.411401i	−0.402476	+	0.915430i	$0.631850\pi$
$822$	−5.22336	−	19.9775i	−0.182185	−	0.696795i
$823$	14.9057	+	10.8296i	0.519580	+	0.377497i	0.816446	−	0.577422i	$-0.195941\pi$
$823$	14.9057	+	10.8296i	0.519580	+	0.377497i	−0.296866	+	0.954919i	$0.595941\pi$
$824$	32.4410	+	22.0116i	1.13013	+	0.766810i
$825$	−30.7304	−	10.8307i	−1.06989	−	0.377077i
$826$	9.23920	+	1.86057i	0.321473	+	0.0647374i
$827$	−29.0131	+	39.9331i	−1.00888	+	1.38861i	−0.0891702	+	0.996016i	$0.528422\pi$
$827$	−29.0131	+	39.9331i	−1.00888	+	1.38861i	−0.919713	+	0.392592i	$0.871578\pi$
$828$	40.0479	−	8.00622i	1.39176	−	0.278235i
$829$	0.628871	+	1.93547i	0.0218416	+	0.0672215i	0.961383	−	0.275213i	$-0.0887484\pi$
$829$	0.628871	+	1.93547i	0.0218416	+	0.0672215i	−0.939542	+	0.342435i	$0.888748\pi$
$830$	44.4944	+	20.8544i	1.54442	+	0.723867i
$831$	−26.3620	−	4.63009i	−0.914488	−	0.160616i
$832$	8.34708	−	3.31922i	0.289383	−	0.115073i
$833$	5.20974	−	16.0339i	0.180507	−	0.555542i
$834$	5.76040	+	8.98907i	0.199466	+	0.311266i
$835$	−39.5092	+	16.1825i	−1.36727	+	0.560019i
$836$	−27.3750	+	16.5975i	−0.946785	+	0.574036i
$837$	−1.71119	−	0.983368i	−0.0591473	−	0.0339902i
$838$	−17.8757	+	8.18949i	−0.617505	+	0.282901i
$839$	24.3937	+	17.7231i	0.842164	+	0.611868i	0.922974	−	0.384861i	$-0.125751\pi$
$839$	24.3937	+	17.7231i	0.842164	+	0.611868i	−0.0808101	+	0.996730i	$0.525751\pi$
$840$	11.3143	−	2.85340i	0.390381	−	0.0984518i
$841$	−19.4854	+	14.1570i	−0.671911	+	0.488172i
$842$	−14.0643	+	24.9745i	−0.484686	+	0.860679i
$843$	5.82208	+	41.2255i	0.200523	+	1.41988i
$844$	−25.7434	−	22.1988i	−0.886125	−	0.764116i
$845$	9.94933	+	24.2911i	0.342267	+	0.835638i
$846$	−30.9071	+	12.9231i	−1.06261	+	0.444305i
$847$	−1.03866	−	3.19665i	−0.0356886	−	0.109838i
$848$	−3.50835	−	23.5965i	−0.120477	−	0.810306i
$849$	41.2652	−	5.82769i	1.41622	−	0.200006i
$850$	−5.31557	−	19.6172i	−0.182323	−	0.672865i
$851$	−80.9103			−2.77357
$852$	11.0630	+	13.5323i	0.379012	+	0.463610i
$853$	16.6871	−	5.42196i	0.571355	−	0.185644i	−0.00906911	−	0.999959i	$-0.502887\pi$
$853$	16.6871	−	5.42196i	0.571355	−	0.185644i	0.580424	+	0.814314i	$0.302887\pi$
$854$	0.587298	+	5.06486i	0.0200969	+	0.173316i
$855$	−7.69870	+	27.4816i	−0.263290	+	0.939852i
$856$	−6.30128	−	8.11109i	−0.215373	−	0.277231i
$857$	25.8154			0.881838			0.440919	−	0.897547i	$-0.354653\pi$
$857$	25.8154			0.881838			0.440919	+	0.897547i	$0.354653\pi$
$858$	−9.63811	−	3.76692i	−0.329040	−	0.128600i
$859$	2.02084	+	2.78145i	0.0689502	+	0.0949018i	0.842099	−	0.539322i	$-0.181320\pi$
$859$	2.02084	+	2.78145i	0.0689502	+	0.0949018i	−0.773149	+	0.634224i	$0.781320\pi$
$860$	−24.0174	−	33.6688i	−0.818986	−	1.14810i
$861$	4.13948	−	7.79784i	0.141073	−	0.265750i
$862$	11.1248	−	5.09668i	0.378913	−	0.173594i
$863$	−12.0946	−	16.6468i	−0.411705	−	0.566664i	0.551928	−	0.833892i	$-0.313892\pi$
$863$	−12.0946	−	16.6468i	−0.411705	−	0.566664i	−0.963633	+	0.267228i	$0.913892\pi$
$864$	−10.6230	−	27.4071i	−0.361403	−	0.932410i
$865$	−26.7315	+	1.99749i	−0.908900	+	0.0679166i
$866$	−19.7402	−	43.0882i	−0.670800	−	1.46420i
$867$	−2.61816	+	14.9068i	−0.0889173	+	0.506261i
$868$	0.313195	−	0.746098i	0.0106305	−	0.0253242i
$869$	48.9296	+	15.8982i	1.65982	+	0.539309i
$870$	7.29503	+	9.70686i	0.247325	+	0.329093i
$871$	9.71533	−	3.15670i	0.329191	−	0.106961i
$872$	8.08413	−	27.9032i	0.273763	−	0.944923i
$873$	11.8456	−	32.6821i	0.400914	−	1.10612i
$874$	−40.1479	−	8.08488i	−1.35802	−	0.273475i
$875$	−6.10163	−	10.2274i	−0.206273	−	0.345748i
$876$	1.42643	−	5.42445i	0.0481946	−	0.183275i
$877$	−20.6185	+	28.3790i	−0.696238	+	0.958290i	0.303746	+	0.952753i	$0.401762\pi$
$877$	−20.6185	+	28.3790i	−0.696238	+	0.958290i	−0.999985	+	0.00553692i	$0.998238\pi$
$878$	−27.3358	+	3.16973i	−0.922540	+	0.106973i
$879$	−7.73220	−	15.8264i	−0.260801	−	0.533811i
$880$	−33.5095	−	3.09073i	−1.12960	−	0.104188i
$881$	20.5723	+	6.68433i	0.693097	+	0.225201i	0.634320	−	0.773070i	$-0.281280\pi$
$881$	20.5723	+	6.68433i	0.693097	+	0.225201i	0.0587766	+	0.998271i	$0.481280\pi$
$882$	−24.8013	+	2.03516i	−0.835103	+	0.0685274i
$883$	−8.94004	+	27.5146i	−0.300856	+	0.925941i	0.680335	+	0.732902i	$0.261834\pi$
$883$	−8.94004	+	27.5146i	−0.300856	+	0.925941i	−0.981191	+	0.193039i	$0.938166\pi$
$884$	−1.47710	−	6.28363i	−0.0496803	−	0.211341i
$885$	−23.6737	+	5.16683i	−0.795781	+	0.173681i
$886$	13.5885	−	12.5015i	0.456515	−	0.419997i
$887$	−7.27261	−	10.0099i	−0.244190	−	0.336099i	0.669276	−	0.743014i	$-0.266605\pi$
$887$	−7.27261	−	10.0099i	−0.244190	−	0.336099i	−0.913466	+	0.406915i	$0.866605\pi$
$888$	9.99306	+	57.3695i	0.335345	+	1.92519i
$889$	8.02182	+	5.82819i	0.269043	+	0.195471i
$890$	17.8529	−	19.0698i	0.598430	−	0.639220i
$891$	−12.6004	+	31.4296i	−0.422128	+	1.05293i
$892$	2.06838	−	2.39864i	0.0692543	−	0.0803124i
$893$	33.5932			1.12415
$894$	−0.847956	−	0.331412i	−0.0283599	−	0.0110841i
$895$	−5.81618	−	3.59588i	−0.194414	−	0.120197i
$896$	10.6109	−	5.71326i	0.354485	−	0.190866i
$897$	−5.81112	−	11.8943i	−0.194028	−	0.397139i
$898$	−19.4688	+	17.9114i	−0.649683	+	0.597711i
$899$	0.842034			0.0280834
$900$	−23.6879	+	18.4088i	−0.789597	+	0.613626i
$901$	−17.1424			−0.571098
$902$	−18.7374	+	17.2385i	−0.623888	+	0.573980i
$903$	−7.48968	−	15.3300i	−0.249241	−	0.510151i
$904$	−7.05969	+	24.3673i	−0.234802	+	0.810443i
$905$	−6.90124	−	16.8492i	−0.229405	−	0.560087i
$906$	49.3042	+	19.2698i	1.63802	+	0.640197i
$907$	7.65091			0.254044			0.127022	−	0.991900i	$-0.459458\pi$
$907$	7.65091			0.254044			0.127022	+	0.991900i	$0.459458\pi$
$908$	−7.68973	−	6.63095i	−0.255193	−	0.220056i
$909$	−23.9480	−	18.6585i	−0.794306	−	0.618865i
$910$	−1.82718	−	3.31161i	−0.0605703	−	0.109779i
$911$	34.6405	+	25.1678i	1.14769	+	0.833846i	0.988172	−	0.153349i	$-0.0490058\pi$
$911$	34.6405	+	25.1678i	1.14769	+	0.833846i	0.159519	+	0.987195i	$0.449006\pi$
$912$	−0.774006	+	29.4654i	−0.0256299	+	0.975698i
$913$	−34.3644	−	47.2985i	−1.13729	−	1.56535i
$914$	36.5421	−	33.6189i	1.20870	−	1.11201i
$915$	−6.61623	−	11.3169i	−0.218726	−	0.374126i
$916$	26.9096	−	6.32567i	0.889118	−	0.209006i
$917$	2.42688	−	7.46915i	0.0801425	−	0.246653i
$918$	−20.6028	+	4.65422i	−0.679995	+	0.153612i
$919$	2.46022	+	0.799373i	0.0811551	+	0.0263689i	0.349313	−	0.937006i	$-0.386415\pi$
$919$	2.46022	+	0.799373i	0.0811551	+	0.0263689i	−0.268158	+	0.963375i	$0.586415\pi$
$920$	−28.8705	−	31.9336i	−0.951831	−	1.05282i
$921$	2.30584	+	4.71964i	0.0759801	+	0.155517i
$922$	8.66458	−	1.00470i	0.285353	−	0.0330882i
$923$	3.33016	−	4.58358i	0.109614	−	0.150870i
$924$	−13.4264	−	3.53066i	−0.441697	−	0.116150i
$925$	53.1679	−	26.5629i	1.74815	−	0.873382i
$926$	25.0529	+	5.04508i	0.823288	+	0.165792i
$927$	−39.0931	−	14.1693i	−1.28399	−	0.465382i
$928$	9.75576	+	7.88005i	0.320249	+	0.258675i
$929$	−43.7961	+	14.2302i	−1.43690	+	0.466879i	−0.920931	−	0.389726i	$-0.872570\pi$
$929$	−43.7961	+	14.2302i	−1.43690	+	0.466879i	−0.515974	+	0.856604i	$0.672570\pi$
$930$	0.0336242	+	2.08011i	0.00110258	+	0.0682094i
$931$	23.7325	+	7.71117i	0.777802	+	0.252723i
$932$	12.4082	+	5.20867i	0.406443	+	0.170616i
$933$	−8.50050	+	48.3986i	−0.278294	+	1.58450i
$934$	−18.9785	−	41.4255i	−0.620996	−	1.35548i
$935$	−5.73802	+	23.4909i	−0.187653	+	0.768236i
$936$	−7.71594	+	5.58941i	−0.252203	+	0.182696i
$937$	8.87033	+	12.2090i	0.289781	+	0.398850i	0.928943	−	0.370223i	$-0.120719\pi$
$937$	8.87033	+	12.2090i	0.289781	+	0.398850i	−0.639162	+	0.769072i	$0.720719\pi$
$938$	12.4594	−	5.70811i	0.406815	−	0.186376i
$939$	−0.956248	+	1.80136i	−0.0312060	+	0.0587850i
$940$	28.3866	+	21.0036i	0.925869	+	0.685061i
$941$	−3.79706	−	5.22620i	−0.123780	−	0.170369i	0.742630	−	0.669702i	$-0.233578\pi$
$941$	−3.79706	−	5.22620i	−0.123780	−	0.170369i	−0.866410	+	0.499333i	$0.833578\pi$
$942$	−8.68964	−	3.39622i	−0.283124	−	0.110655i
$943$	−32.5713			−1.06067
$944$	−22.4047	+	11.1495i	−0.729210	+	0.362885i
$945$	−10.8880	+	5.88437i	−0.354187	+	0.191419i
$946$	5.66767	+	48.8780i	0.184272	+	1.58916i
$947$	−34.4157	+	11.1823i	−1.11836	+	0.363377i	−0.809141	−	0.587614i	$-0.800067\pi$
$947$	−34.4157	+	11.1823i	−1.11836	+	0.363377i	−0.309218	+	0.950991i	$0.600067\pi$
$948$	36.6734	−	29.9814i	1.19110	−	0.973751i
$949$	−1.81805			−0.0590165
$950$	29.0363	−	7.86782i	0.942064	−	0.255266i
$951$	0.851776	−	0.120292i	0.0276207	−	0.00390074i
$952$	−2.93948	−	8.14569i	−0.0952690	−	0.264003i
$953$	15.4770	+	47.6332i	0.501348	+	1.54299i	0.806825	+	0.590791i	$0.201184\pi$
$953$	15.4770	+	47.6332i	0.501348	+	1.54299i	−0.305476	+	0.952200i	$0.598816\pi$
$954$	9.76094	+	23.3445i	0.316022	+	0.755805i
$955$	−9.44520	+	38.6678i	−0.305639	+	1.25126i
$956$	18.7643	−	21.7604i	0.606879	−	0.703782i
$957$	−2.02020	−	14.3048i	−0.0653038	−	0.462409i
$958$	7.06911	−	12.5529i	0.228393	−	0.405567i
$959$	−7.26456	+	5.27801i	−0.234585	+	0.170436i
$960$	−19.0768	+	24.4147i	−0.615701	+	0.787980i
$961$	−24.9628	−	18.1365i	−0.805252	−	0.585050i
$962$	17.1605	−	7.86185i	0.553278	−	0.253476i
$963$	8.59372	+	6.69559i	0.276929	+	0.215762i
$964$	−25.2604	−	41.6632i	−0.813582	−	1.34188i
$965$	20.0940	+	23.7163i	0.646848	+	0.763454i
$966$	−9.58226	−	14.9531i	−0.308304	−	0.481107i
$967$	7.32446	−	22.5424i	0.235539	−	0.724914i	−0.761511	−	0.648152i	$-0.775542\pi$
$967$	7.32446	−	22.5424i	0.235539	−	0.724914i	0.997049	−	0.0767613i	$-0.0244580\pi$
$968$	7.38540	+	5.01109i	0.237376	+	0.161062i
$969$	20.8614	+	3.66400i	0.670165	+	0.117704i
$970$	−35.9834	+	6.92125i	−1.15536	+	0.222228i
$971$	−3.13548	−	9.65003i	−0.100622	−	0.309684i	0.888056	−	0.459736i	$-0.152056\pi$
$971$	−3.13548	−	9.65003i	−0.100622	−	0.309684i	−0.988678	+	0.150052i	$0.952056\pi$
$972$	18.0694	+	25.4067i	0.579575	+	0.814919i
$973$	2.72895	−	3.75607i	0.0874860	−	0.120414i
$974$	−8.05563	−	1.62222i	−0.258119	−	0.0519793i
$975$	7.72351	+	5.90821i	0.247350	+	0.189214i
$976$	−9.48232	−	9.66383i	−0.303522	−	0.309332i
$977$	9.69668	+	7.04505i	0.310224	+	0.225391i	0.731993	−	0.681312i	$-0.238590\pi$
$977$	9.69668	+	7.04505i	0.310224	+	0.225391i	−0.421768	+	0.906704i	$0.638590\pi$
$978$	5.75677	+	22.0176i	0.184081	+	0.704045i
$979$	−29.5585	+	9.60413i	−0.944693	+	0.306949i
$980$	15.2330	+	21.3544i	0.486599	+	0.682140i
$981$	−1.03403	+	30.7956i	−0.0330140	+	0.983227i
$982$	−26.0137	−	5.23857i	−0.830130	−	0.167169i
$983$	−16.6060	−	5.39561i	−0.529649	−	0.172093i	0.0319711	−	0.999489i	$-0.489822\pi$
$983$	−16.6060	−	5.39561i	−0.529649	−	0.172093i	−0.561620	+	0.827396i	$0.689822\pi$
$984$	4.02281	+	23.0947i	0.128242	+	0.736232i
$985$	42.8885	+	26.5160i	1.36654	+	0.844869i
$986$	6.63188	−	6.10137i	0.211202	−	0.194307i
$987$	10.1267	+	10.4725i	0.322338	+	0.333343i
$988$	9.30069	−	2.18632i	0.295894	−	0.0695562i
$989$	−36.9993	+	50.9252i	−1.17651	+	1.61933i
$990$	35.2570	−	5.56179i	1.12054	−	0.176765i
$991$	6.39343	+	8.79981i	0.203094	+	0.279535i	0.898399	−	0.439180i	$-0.144731\pi$
$991$	6.39343	+	8.79981i	0.203094	+	0.279535i	−0.695305	+	0.718715i	$0.744731\pi$
$992$	0.558673	+	2.07470i	0.0177379	+	0.0658719i
$993$	1.47153	+	10.4197i	0.0466976	+	0.330660i
$994$	3.72968	−	6.62296i	0.118298	−	0.210068i
$995$	−3.11760	−	3.67961i	−0.0988346	−	0.116651i
$996$	−53.7418	+	3.06755i	−1.70287	+	0.0971991i
$997$	−3.02400	+	0.982558i	−0.0957711	+	0.0311179i	−0.356511	−	0.934291i	$-0.616034\pi$
$997$	−3.02400	+	0.982558i	−0.0957711	+	0.0311179i	0.260740	+	0.965409i	$0.416034\pi$
$998$	13.5117	−	12.4308i	0.427705	−	0.393490i
$999$	−25.2359	−	56.3751i	−0.798430	−	1.78363i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.14	yes	224
3.2	odd	2	inner	300.2.r.a.59.43	yes	224
4.3	odd	2	inner	300.2.r.a.59.9	✓	224
12.11	even	2	inner	300.2.r.a.59.48	yes	224
25.14	even	10	inner	300.2.r.a.239.48	yes	224
75.14	odd	10	inner	300.2.r.a.239.9	yes	224
100.39	odd	10	inner	300.2.r.a.239.43	yes	224
300.239	even	10	inner	300.2.r.a.239.14	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.9	✓	224	4.3	odd	2	inner
300.2.r.a.59.14	yes	224	1.1	even	1	trivial
300.2.r.a.59.43	yes	224	3.2	odd	2	inner
300.2.r.a.59.48	yes	224	12.11	even	2	inner
300.2.r.a.239.9	yes	224	75.14	odd	10	inner
300.2.r.a.239.14	yes	224	300.239	even	10	inner
300.2.r.a.239.43	yes	224	100.39	odd	10	inner
300.2.r.a.239.48	yes	224	25.14	even	10	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.r (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.957505 - 1.04076i) q^{2} +(0.760326 + 1.55625i) q^{3} +(-0.166367 + 1.99307i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.891666 - 2.28143i) q^{6} -1.06519 q^{7} +(2.23361 - 1.73523i) q^{8} +(-1.84381 + 2.36651i) q^{9} +O(q^{10})\)	\(q+(-0.957505 - 1.04076i) q^{2} +(0.760326 + 1.55625i) q^{3} +(-0.166367 + 1.99307i) q^{4} +(-1.70605 + 1.44547i) q^{5} +(0.891666 - 2.28143i) q^{6} -1.06519 q^{7} +(2.23361 - 1.73523i) q^{8} +(-1.84381 + 2.36651i) q^{9} +(3.13794 + 0.391539i) q^{10} +(-3.04382 - 2.21147i) q^{11} +(-3.22820 + 1.25647i) q^{12} +(0.659995 + 0.908406i) q^{13} +(1.01992 + 1.10861i) q^{14} +(-3.54667 - 1.55600i) q^{15} +(-3.94464 - 0.663162i) q^{16} +(-0.888219 + 2.73366i) q^{17} +(4.22843 - 0.346979i) q^{18} +(-4.04621 - 1.31469i) q^{19} +(-2.59710 - 3.64075i) q^{20} +(-0.809891 - 1.65770i) q^{21} +(0.612868 + 5.28539i) q^{22} +(-4.00089 + 5.50675i) q^{23} +(4.39871 + 2.15671i) q^{24} +(0.821205 - 4.93210i) q^{25} +(0.313484 - 1.55670i) q^{26} +(-5.08477 - 1.07011i) q^{27} +(0.177213 - 2.12300i) q^{28} +(2.10841 - 0.685063i) q^{29} +(1.77653 + 5.18111i) q^{30} +(0.361234 + 0.117372i) q^{31} +(3.08682 + 4.74041i) q^{32} +(1.12729 - 6.41838i) q^{33} +(3.69556 - 1.69307i) q^{34} +(1.81727 - 1.53970i) q^{35} +(-4.40986 - 4.06855i) q^{36} +(6.98690 + 9.61665i) q^{37} +(2.50599 + 5.46996i) q^{38} +(-0.911892 + 1.71780i) q^{39} +(-1.30242 + 6.18900i) q^{40} +(2.81265 + 3.87128i) q^{41} +(-0.949793 + 2.43016i) q^{42} +9.24777 q^{43} +(4.91400 - 5.69863i) q^{44} +(-0.275099 - 6.70256i) q^{45} +(9.56209 - 1.10877i) q^{46} +(-7.50958 + 2.44001i) q^{47} +(-1.96717 - 6.64306i) q^{48} -5.86537 q^{49} +(-5.91945 + 3.86784i) q^{50} +(-4.92958 + 0.696181i) q^{51} +(-1.92032 + 1.16429i) q^{52} +(1.84297 + 5.67207i) q^{53} +(3.75497 + 6.31666i) q^{54} +(8.38953 - 0.626900i) q^{55} +(-2.37921 + 1.84834i) q^{56} +(-1.03045 - 7.29650i) q^{57} +(-2.73180 - 1.53840i) q^{58} +(5.06153 - 3.67742i) q^{59} +(3.69127 - 6.80989i) q^{60} +(2.73832 + 1.98950i) q^{61} +(-0.223727 - 0.488342i) q^{62} +(1.96401 - 2.52078i) q^{63} +(1.97799 - 7.75162i) q^{64} +(-2.43906 - 0.595778i) q^{65} +(-7.75939 + 4.97239i) q^{66} +(2.81133 - 8.65237i) q^{67} +(-5.30060 - 2.22507i) q^{68} +(-11.6118 - 2.03945i) q^{69} +(-3.34251 - 0.417064i) q^{70} +(-1.55922 - 4.79878i) q^{71} +(-0.0119183 + 8.48527i) q^{72} +(-0.951706 + 1.30991i) q^{73} +(3.31863 - 16.4797i) q^{74} +(8.29995 - 2.47200i) q^{75} +(3.29343 - 7.84565i) q^{76} +(3.24225 + 2.35563i) q^{77} +(2.66096 - 0.695741i) q^{78} +(-13.0050 + 4.22558i) q^{79} +(7.68834 - 4.57050i) q^{80} +(-2.20073 - 8.72679i) q^{81} +(1.33595 - 6.63407i) q^{82} +(14.7786 + 4.80187i) q^{83} +(3.43865 - 1.33838i) q^{84} +(-2.43609 - 5.94765i) q^{85} +(-8.85479 - 9.62472i) q^{86} +(2.66920 + 2.76033i) q^{87} +(-10.6361 + 0.342174i) q^{88} +(4.85548 - 6.68300i) q^{89} +(-6.71236 + 6.70405i) q^{90} +(-0.703020 - 0.967625i) q^{91} +(-10.3097 - 8.89019i) q^{92} +(0.0919955 + 0.651410i) q^{93} +(9.72993 + 5.47936i) q^{94} +(8.80339 - 3.60576i) q^{95} +(-5.03026 + 8.40812i) q^{96} +(-11.0204 + 3.58074i) q^{97} +(5.61612 + 6.10445i) q^{98} +(10.8457 - 3.12571i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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