LMFDB - Embedded newform 600.2.bk.a.539.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 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("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (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:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			539.5
Character	$\chi$	$=$	600.539
Dual form			600.2.bk.a.59.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40516 + 0.159738i) q^{2} +(0.223577 - 1.71756i) q^{3} +(1.94897 - 0.448917i) q^{4} +(0.305686 + 2.21507i) q^{5} +(-0.0398025 + 2.44917i) q^{6} +1.47604 q^{7} +(-2.66691 + 0.942126i) q^{8} +(-2.90003 - 0.768015i) q^{9} +O(q^{10})$	\(q+(-1.40516 + 0.159738i) q^{2} +(0.223577 - 1.71756i) q^{3} +(1.94897 - 0.448917i) q^{4} +(0.305686 + 2.21507i) q^{5} +(-0.0398025 + 2.44917i) q^{6} +1.47604 q^{7} +(-2.66691 + 0.942126i) q^{8} +(-2.90003 - 0.768015i) q^{9} +(-0.783371 - 3.06371i) q^{10} +(-0.536105 - 0.737886i) q^{11} +(-0.335296 - 3.44784i) q^{12} +(4.34207 + 3.15470i) q^{13} +(-2.07408 + 0.235780i) q^{14} +(3.87287 - 0.0297937i) q^{15} +(3.59695 - 1.74985i) q^{16} +(2.18574 + 6.72702i) q^{17} +(4.19769 + 0.615941i) q^{18} +(0.235261 + 0.724060i) q^{19} +(1.59016 + 4.17988i) q^{20} +(0.330009 - 2.53519i) q^{21} +(0.871184 + 0.951213i) q^{22} +(-2.16707 - 2.98271i) q^{23} +(1.02190 + 4.79121i) q^{24} +(-4.81311 + 1.35423i) q^{25} +(-6.60524 - 3.73927i) q^{26} +(-1.96749 + 4.80926i) q^{27} +(2.87676 - 0.662620i) q^{28} +(-0.203775 + 0.627154i) q^{29} +(-5.43725 + 0.660510i) q^{30} +(3.25079 - 1.05624i) q^{31} +(-4.77478 + 3.03339i) q^{32} +(-1.38722 + 0.755819i) q^{33} +(-4.14588 - 9.10341i) q^{34} +(0.451205 + 3.26954i) q^{35} +(-5.99683 - 0.194966i) q^{36} +(4.66999 + 3.39294i) q^{37} +(-0.446240 - 0.979842i) q^{38} +(6.38917 - 6.75245i) q^{39} +(-2.90211 - 5.61941i) q^{40} +(3.62063 - 4.98337i) q^{41} +(-0.0587502 + 3.61507i) q^{42} +3.92012i q^{43} +(-1.37610 - 1.19745i) q^{44} +(0.814713 - 6.65855i) q^{45} +(3.52153 + 3.84503i) q^{46} +(4.90302 + 1.59309i) q^{47} +(-2.20127 - 6.56920i) q^{48} -4.82130 q^{49} +(6.54689 - 2.67176i) q^{50} +(12.0427 - 2.25013i) q^{51} +(9.87875 + 4.19918i) q^{52} +(8.05205 + 2.61627i) q^{53} +(1.99642 - 7.07208i) q^{54} +(1.47059 - 1.41307i) q^{55} +(-3.93647 + 1.39062i) q^{56} +(1.29622 - 0.242192i) q^{57} +(0.186156 - 0.913805i) q^{58} +(8.77096 - 12.0722i) q^{59} +(7.53472 - 1.79666i) q^{60} +(1.97170 + 2.71382i) q^{61} +(-4.39916 + 2.00347i) q^{62} +(-4.28056 - 1.13362i) q^{63} +(6.22480 - 5.02512i) q^{64} +(-5.66058 + 10.5824i) q^{65} +(1.82854 - 1.28364i) q^{66} +(4.51522 - 1.46708i) q^{67} +(7.27981 + 12.1295i) q^{68} +(-5.60749 + 3.05520i) q^{69} +(-1.15629 - 4.52217i) q^{70} +(-1.57843 + 4.85790i) q^{71} +(8.45767 - 0.683964i) q^{72} +(-7.05593 - 9.71166i) q^{73} +(-7.10408 - 4.02166i) q^{74} +(1.24988 + 8.56959i) q^{75} +(0.783559 + 1.30556i) q^{76} +(-0.791314 - 1.08915i) q^{77} +(-7.89921 + 10.5089i) q^{78} +(-4.20401 - 1.36596i) q^{79} +(4.97558 + 7.43260i) q^{80} +(7.82031 + 4.45453i) q^{81} +(-4.29154 + 7.58080i) q^{82} +(3.26583 + 10.0512i) q^{83} +(-0.494912 - 5.08915i) q^{84} +(-14.2327 + 6.89793i) q^{85} +(-0.626193 - 5.50841i) q^{86} +(1.03162 + 0.490213i) q^{87} +(2.12492 + 1.46280i) q^{88} +(-4.83327 - 6.65243i) q^{89} +(-0.0811801 + 9.48649i) q^{90} +(6.40908 + 4.65647i) q^{91} +(-5.56253 - 4.84037i) q^{92} +(-1.08736 - 5.81958i) q^{93} +(-7.14402 - 1.45535i) q^{94} +(-1.53193 + 0.742456i) q^{95} +(4.14250 + 8.87917i) q^{96} +(-10.3792 - 3.37242i) q^{97} +(6.77471 - 0.770146i) q^{98} +(0.988013 + 2.55163i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−1.40516	+	0.159738i	−0.993600	+	0.112952i
$2$	−1.40516	+	0.159738i	−0.993600	+	0.112952i
$3$	0.223577	−	1.71756i	0.129082	−	0.991634i
$3$	0.223577	−	1.71756i	0.129082	−	0.991634i
$4$	1.94897	−	0.448917i	0.974484	−	0.224458i
$5$	0.305686	+	2.21507i	0.136707	+	0.990612i
$5$	0.305686	+	2.21507i	0.136707	+	0.990612i
$6$	−0.0398025	+	2.44917i	−0.0162493	+	0.999868i
$7$	1.47604			0.557892			0.278946	−	0.960307i	$-0.410015\pi$
$7$	1.47604			0.557892			0.278946	+	0.960307i	$0.410015\pi$
$8$	−2.66691	+	0.942126i	−0.942894	+	0.333092i
$9$	−2.90003	−	0.768015i	−0.966675	−	0.256005i
$10$	−0.783371	−	3.06371i	−0.247724	−	0.968831i
$11$	−0.536105	−	0.737886i	−0.161642	−	0.222481i	0.720512	−	0.693443i	$-0.243907\pi$
$11$	−0.536105	−	0.737886i	−0.161642	−	0.222481i	−0.882154	+	0.470962i	$0.843907\pi$
$12$	−0.335296	−	3.44784i	−0.0967917	−	0.995305i
$13$	4.34207	+	3.15470i	1.20427	+	0.874956i	0.994698	−	0.102836i	$-0.0327918\pi$
$13$	4.34207	+	3.15470i	1.20427	+	0.874956i	0.209576	+	0.977792i	$0.432792\pi$
$14$	−2.07408	+	0.235780i	−0.554321	+	0.0630150i
$15$	3.87287	−	0.0297937i	0.999970	−	0.00769271i
$16$	3.59695	−	1.74985i	0.899237	−	0.437462i
$17$	2.18574	+	6.72702i	0.530120	+	1.63154i	0.753963	+	0.656916i	$0.228140\pi$
$17$	2.18574	+	6.72702i	0.530120	+	1.63154i	−0.223844	+	0.974625i	$0.571860\pi$
$18$	4.19769	+	0.615941i	0.989405	+	0.145179i
$19$	0.235261	+	0.724060i	0.0539726	+	0.166111i	0.974409	−	0.224781i	$-0.0721667\pi$
$19$	0.235261	+	0.724060i	0.0539726	+	0.166111i	−0.920437	+	0.390892i	$0.872167\pi$
$20$	1.59016	+	4.17988i	0.355570	+	0.934650i
$21$	0.330009	−	2.53519i	0.0720140	−	0.553224i
$22$	0.871184	+	0.951213i	0.185737	+	0.202799i
$23$	−2.16707	−	2.98271i	−0.451865	−	0.621938i	0.520932	−	0.853598i	$-0.325584\pi$
$23$	−2.16707	−	2.98271i	−0.451865	−	0.621938i	−0.972797	+	0.231660i	$0.925584\pi$
$24$	1.02190	+	4.79121i	0.208594	+	0.978002i
$25$	−4.81311	+	1.35423i	−0.962622	+	0.270847i
$26$	−6.60524	−	3.73927i	−1.29540	−	0.733332i
$27$	−1.96749	+	4.80926i	−0.378644	+	0.925542i
$28$	2.87676	−	0.662620i	0.543656	−	0.125223i
$29$	−0.203775	+	0.627154i	−0.0378400	+	0.116460i	−0.968192	−	0.250207i	$-0.919501\pi$
$29$	−0.203775	+	0.627154i	−0.0378400	+	0.116460i	0.930352	+	0.366667i	$0.119501\pi$
$30$	−5.43725	+	0.660510i	−0.992702	+	0.120592i
$31$	3.25079	−	1.05624i	0.583859	−	0.189707i	−0.00216978	−	0.999998i	$-0.500691\pi$
$31$	3.25079	−	1.05624i	0.583859	−	0.189707i	0.586028	+	0.810290i	$0.300691\pi$
$32$	−4.77478	+	3.03339i	−0.844070	+	0.536233i
$33$	−1.38722	+	0.755819i	−0.241485	+	0.131571i
$34$	−4.14588	−	9.10341i	−0.711013	−	1.56122i
$35$	0.451205	+	3.26954i	0.0762676	+	0.552654i
$36$	−5.99683	−	0.194966i	−0.999472	−	0.0324943i
$37$	4.66999	+	3.39294i	0.767741	+	0.557796i	0.901275	−	0.433248i	$-0.142632\pi$
$37$	4.66999	+	3.39294i	0.767741	+	0.557796i	−0.133534	+	0.991044i	$0.542632\pi$
$38$	−0.446240	−	0.979842i	−0.0723898	−	0.158951i
$39$	6.38917	−	6.75245i	1.02309	−	1.08126i
$40$	−2.90211	−	5.61941i	−0.458865	−	0.888506i
$41$	3.62063	−	4.98337i	0.565448	−	0.778272i	−0.426559	−	0.904460i	$-0.640274\pi$
$41$	3.62063	−	4.98337i	0.565448	−	0.778272i	0.992006	+	0.126188i	$0.0402743\pi$
$42$	−0.0587502	+	3.61507i	−0.00906535	+	0.557818i
$43$			3.92012i			0.597813i	0.954282	+	0.298906i	$0.0966219\pi$
$43$			3.92012i			0.597813i	−0.954282	+	0.298906i	$0.903378\pi$
$44$	−1.37610	−	1.19745i	−0.207455	−	0.180522i
$45$	0.814713	−	6.65855i	0.121450	−	0.992598i
$46$	3.52153	+	3.84503i	0.519222	+	0.566919i
$47$	4.90302	+	1.59309i	0.715179	+	0.232376i	0.643932	−	0.765083i	$-0.277302\pi$
$47$	4.90302	+	1.59309i	0.715179	+	0.232376i	0.0712471	+	0.997459i	$0.477302\pi$
$48$	−2.20127	−	6.56920i	−0.317726	−	0.948182i
$49$	−4.82130			−0.688757
$50$	6.54689	−	2.67176i	0.925869	−	0.377844i
$51$	12.0427	−	2.25013i	1.68632	−	0.315082i
$52$	9.87875	+	4.19918i	1.36994	+	0.582321i
$53$	8.05205	+	2.61627i	1.10603	+	0.359372i	0.804422	−	0.594058i	$-0.202475\pi$
$53$	8.05205	+	2.61627i	1.10603	+	0.359372i	0.301612	+	0.953431i	$0.402475\pi$
$54$	1.99642	−	7.07208i	0.271679	−	0.962388i
$55$	1.47059	−	1.41307i	0.198295	−	0.190539i
$56$	−3.93647	+	1.39062i	−0.526033	+	0.185829i
$57$	1.29622	−	0.242192i	0.171688	−	0.0320791i
$58$	0.186156	−	0.913805i	0.0244435	−	0.119988i
$59$	8.77096	−	12.0722i	1.14188	−	1.57166i	0.378650	−	0.925540i	$-0.376389\pi$
$59$	8.77096	−	12.0722i	1.14188	−	1.57166i	0.763232	−	0.646125i	$-0.223611\pi$
$60$	7.53472	−	1.79666i	0.972728	−	0.231948i
$61$	1.97170	+	2.71382i	0.252451	+	0.347468i	0.916368	−	0.400338i	$-0.131107\pi$
$61$	1.97170	+	2.71382i	0.252451	+	0.347468i	−0.663917	+	0.747806i	$0.731107\pi$
$62$	−4.39916	+	2.00347i	−0.558694	+	0.254441i
$63$	−4.28056	−	1.13362i	−0.539300	−	0.142823i
$64$	6.22480	−	5.02512i	0.778100	−	0.628141i
$65$	−5.66058	+	10.5824i	−0.702109	+	1.31258i
$66$	1.82854	−	1.28364i	0.225078	−	0.158005i
$67$	4.51522	−	1.46708i	0.551621	−	0.179233i	−0.0199263	−	0.999801i	$-0.506343\pi$
$67$	4.51522	−	1.46708i	0.551621	−	0.179233i	0.571548	+	0.820569i	$0.306343\pi$
$68$	7.27981	+	12.1295i	0.882806	+	1.47092i
$69$	−5.60749	+	3.05520i	−0.675063	+	0.367803i
$70$	−1.15629	−	4.52217i	−0.138203	−	0.540503i
$71$	−1.57843	+	4.85790i	−0.187325	+	0.576527i	−0.999981	−	0.00621731i	$-0.998021\pi$
$71$	−1.57843	+	4.85790i	−0.187325	+	0.576527i	0.812656	+	0.582744i	$0.198021\pi$
$72$	8.45767	−	0.683964i	0.996746	−	0.0806060i
$73$	−7.05593	−	9.71166i	−0.825835	−	1.13666i	−0.988684	−	0.150013i	$-0.952069\pi$
$73$	−7.05593	−	9.71166i	−0.825835	−	1.13666i	0.162850	−	0.986651i	$-0.447931\pi$
$74$	−7.10408	−	4.02166i	−0.825832	−	0.467509i
$75$	1.24988	+	8.56959i	0.144323	+	0.989531i
$76$	0.783559	+	1.30556i	0.0898804	+	0.149758i
$77$	−0.791314	−	1.08915i	−0.0901786	−	0.124120i
$78$	−7.89921	+	10.5089i	−0.894409	+	1.18990i
$79$	−4.20401	−	1.36596i	−0.472988	−	0.153683i	0.0628169	−	0.998025i	$-0.479992\pi$
$79$	−4.20401	−	1.36596i	−0.472988	−	0.153683i	−0.535804	+	0.844342i	$0.679992\pi$
$80$	4.97558	+	7.43260i	0.556287	+	0.830990i
$81$	7.82031	+	4.45453i	0.868923	+	0.494947i
$82$	−4.29154	+	7.58080i	−0.473922	+	0.837160i
$83$	3.26583	+	10.0512i	0.358471	+	1.10326i	0.953969	+	0.299904i	$0.0969548\pi$
$83$	3.26583	+	10.0512i	0.358471	+	1.10326i	−0.595498	+	0.803357i	$0.703045\pi$
$84$	−0.494912	−	5.08915i	−0.0539993	−	0.555272i
$85$	−14.2327	+	6.89793i	−1.54375	+	0.748186i
$86$	−0.626193	−	5.50841i	−0.0675241	−	0.593987i
$87$	1.03162	+	0.490213i	0.110601	+	0.0525564i
$88$	2.12492	+	1.46280i	0.226518	+	0.155934i
$89$	−4.83327	−	6.65243i	−0.512326	−	0.705156i	0.471983	−	0.881607i	$-0.343538\pi$
$89$	−4.83327	−	6.65243i	−0.512326	−	0.705156i	−0.984309	+	0.176451i	$0.943538\pi$
$90$	−0.0811801	+	9.48649i	−0.00855714	+	0.999963i
$91$	6.40908	+	4.65647i	0.671854	+	0.488131i
$92$	−5.56253	−	4.84037i	−0.579934	−	0.504644i
$93$	−1.08736	−	5.81958i	−0.112754	−	0.603462i
$94$	−7.14402	−	1.45535i	−0.736849	−	0.150108i
$95$	−1.53193	+	0.742456i	−0.157173	+	0.0761744i
$96$	4.14250	+	8.87917i	0.422792	+	0.906227i
$97$	−10.3792	−	3.37242i	−1.05385	−	0.342417i	−0.269673	−	0.962952i	$-0.586916\pi$
$97$	−10.3792	−	3.37242i	−1.05385	−	0.342417i	−0.784179	+	0.620535i	$0.786916\pi$
$98$	6.77471	−	0.770146i	0.684349	−	0.0777965i
$99$	0.988013	+	2.55163i	0.0992990	+	0.256448i
$100$	−8.77266	+	4.80004i	−0.877266	+	0.480004i
$101$	14.9919			1.49175			0.745876	−	0.666085i	$-0.232031\pi$
$101$	14.9919			1.49175			0.745876	+	0.666085i	$0.232031\pi$
$102$	−16.5626	+	5.08549i	−1.63994	+	0.503539i
$103$	4.11031	−	12.6502i	0.405001	−	1.24647i	−0.515893	−	0.856653i	$-0.672540\pi$
$103$	4.11031	−	12.6502i	0.405001	−	1.24647i	0.920894	−	0.389813i	$-0.127460\pi$
$104$	−14.5520	−	4.32252i	−1.42694	−	0.423858i
$105$	5.71652	−	0.0439768i	0.557875	−	0.00429170i
$106$	−11.7324	−	2.39007i	−1.13955	−	0.232144i
$107$	−1.46271			−0.141405			−0.0707027	−	0.997497i	$-0.522524\pi$
$107$	−1.46271			−0.141405			−0.0707027	+	0.997497i	$0.522524\pi$
$108$	−1.67562	+	10.2563i	−0.161237	+	0.986916i
$109$	−5.78662	+	7.96460i	−0.554258	+	0.762870i	−0.990582	−	0.136919i	$-0.956280\pi$
$109$	−5.78662	+	7.96460i	−0.554258	+	0.762870i	0.436325	+	0.899789i	$0.356280\pi$
$110$	−1.84070	+	2.22051i	−0.175504	+	0.211717i
$111$	6.87169	−	7.26240i	0.652232	−	0.689316i
$112$	5.30925	−	2.58285i	0.501677	−	0.244056i
$113$	2.63426	+	1.91390i	0.247810	+	0.180045i	0.704756	−	0.709450i	$-0.251057\pi$
$113$	2.63426	+	1.91390i	0.247810	+	0.180045i	−0.456945	+	0.889495i	$0.651057\pi$
$114$	−1.78271	+	0.547375i	−0.166966	+	0.0512663i
$115$	5.94449	−	5.71199i	0.554326	−	0.532645i
$116$	−0.115611	+	1.31378i	−0.0107342	+	0.121982i
$117$	−10.1693	−	12.4835i	−0.940149	−	1.15410i
$118$	−10.3962	+	18.3645i	−0.957051	+	1.69058i
$119$	3.22625	+	9.92936i	0.295749	+	0.910223i
$120$	−10.3005	+	3.72819i	−0.940304	+	0.340335i
$121$	3.14212	−	9.67045i	0.285647	−	0.879132i
$122$	−3.20406	−	3.49840i	−0.290082	−	0.316730i
$123$	−7.74975	−	7.33282i	−0.698771	−	0.661178i
$124$	5.86151	−	3.51792i	0.526379	−	0.315918i
$125$	−4.47103	−	10.2474i	−0.399901	−	0.916558i
$126$	6.19597	+	0.909155i	0.551981	+	0.0809940i
$127$	−5.12347	+	3.72242i	−0.454635	+	0.330311i	−0.791423	−	0.611269i	$-0.790659\pi$
$127$	−5.12347	+	3.72242i	−0.454635	+	0.330311i	0.336788	+	0.941580i	$0.390659\pi$
$128$	−7.94415	+	8.05546i	−0.702171	+	0.712009i
$129$	6.73304	+	0.876450i	0.592811	+	0.0771671i
$130$	6.26364	−	15.7742i	0.549357	−	1.38348i
$131$	2.23994	−	0.727801i	0.195705	−	0.0635883i	−0.209525	−	0.977803i	$-0.567192\pi$
$131$	2.23994	−	0.727801i	0.195705	−	0.0635883i	0.405229	+	0.914215i	$0.367192\pi$
$132$	−2.36436	+	2.09581i	−0.205791	+	0.182417i
$133$	0.347256	+	1.06874i	0.0301109	+	0.0926718i
$134$	−6.11027	+	2.78274i	−0.527847	+	0.240392i
$135$	−11.2543	−	2.88802i	−0.968616	−	0.248561i
$136$	−12.1669	−	15.8811i	−1.04330	−	1.36179i
$137$	−8.01641	−	5.82426i	−0.684888	−	0.497600i	0.190088	−	0.981767i	$-0.439123\pi$
$137$	−8.01641	−	5.82426i	−0.684888	−	0.497600i	−0.874976	+	0.484167i	$0.839123\pi$
$138$	7.39141	−	5.18879i	0.629199	−	0.441699i
$139$	−10.4708	+	7.60751i	−0.888125	+	0.645261i	−0.935388	−	0.353622i	$-0.884950\pi$
$139$	−10.4708	+	7.60751i	−0.888125	+	0.645261i	0.0472634	+	0.998882i	$0.484950\pi$
$140$	2.34714	+	6.16968i	0.198369	+	0.521433i
$141$	3.83243	−	8.06505i	0.322749	−	0.679200i
$142$	1.44196	−	7.07828i	0.121006	−	0.593996i
$143$		−	4.89520i		−	0.409358i
$144$	−11.7752	+	2.31209i	−0.981263	+	0.192675i
$145$	−1.45149	−	0.259664i	−0.120539	−	0.0215639i
$146$	11.4661	+	12.5194i	0.948938	+	1.03611i
$147$	−1.07793	+	8.28087i	−0.0889064	+	0.682995i
$148$	10.6248	+	4.51630i	0.873353	+	0.371238i
$149$	−15.4441			−1.26523			−0.632613	−	0.774468i	$-0.718018\pi$
$149$	−15.4441			−1.26523			−0.632613	+	0.774468i	$0.718018\pi$
$150$	−3.12517	−	11.8420i	−0.255169	−	0.966896i
$151$			20.8534i			1.69702i	0.529178	+	0.848511i	$0.322500\pi$
$151$			20.8534i			1.69702i	−0.529178	+	0.848511i	$0.677500\pi$
$152$	−1.30958	−	1.70936i	−0.106221	−	0.138647i
$153$	−1.17226	−	21.1872i	−0.0947713	−	1.71288i
$154$	1.28590	+	1.40403i	0.103621	+	0.113140i
$155$	3.33338	+	6.87786i	0.267744	+	0.552443i
$156$	9.42101	−	16.0285i	0.754284	−	1.28331i
$157$	14.1024			1.12549			0.562747	−	0.826629i	$-0.309745\pi$
$157$	14.1024			1.12549			0.562747	+	0.826629i	$0.309745\pi$
$158$	6.12551	+	1.24786i	0.487319	+	0.0992746i
$159$	6.29386	−	13.2449i	0.499135	−	1.05039i
$160$	−8.17877	−	9.64923i	−0.646589	−	0.762839i
$161$	−3.19868	−	4.40261i	−0.252091	−	0.346974i
$162$	−11.7004	−	5.01013i	−0.919268	−	0.393633i
$163$	−11.3005	+	15.5538i	−0.885122	+	1.21827i	0.0898540	+	0.995955i	$0.471360\pi$
$163$	−11.3005	+	15.5538i	−0.885122	+	1.21827i	−0.974976	+	0.222311i	$0.928640\pi$
$164$	4.81937	−	11.3378i	0.376330	−	0.885333i
$165$	−2.09825	−	2.84176i	−0.163349	−	0.221231i
$166$	−6.19458	−	13.6019i	−0.480793	−	1.05571i
$167$	−1.56206	+	0.507544i	−0.120876	+	0.0392749i	−0.368830	−	0.929497i	$-0.620242\pi$
$167$	−1.56206	+	0.507544i	−0.120876	+	0.0392749i	0.247954	+	0.968772i	$0.420242\pi$
$168$	1.50836	+	7.07203i	0.116373	+	0.545619i
$169$	4.88423	+	15.0321i	0.375710	+	1.15632i
$170$	18.8974	−	11.9662i	1.44936	−	0.917768i
$171$	−0.126175	−	2.28048i	−0.00964887	−	0.174392i
$172$	1.75981	+	7.64019i	0.134184	+	0.582559i
$173$	−0.170155	−	0.234199i	−0.0129367	−	0.0178058i	0.802500	−	0.596653i	$-0.203503\pi$
$173$	−0.170155	−	0.234199i	−0.0129367	−	0.0178058i	−0.815436	+	0.578847i	$0.803503\pi$
$174$	−1.52789	−	0.524041i	−0.115829	−	0.0397274i
$175$	−7.10436	+	1.99891i	−0.537039	+	0.151103i
$176$	−3.21953	−	1.71603i	−0.242681	−	0.129351i
$177$	−18.7737	−	17.7637i	−1.41112	−	1.33520i
$178$	7.85418	+	8.57569i	0.588696	+	0.642775i
$179$	−20.5092	−	6.66383i	−1.53293	−	0.498078i	−0.583513	−	0.812104i	$-0.698322\pi$
$179$	−20.5092	−	6.66383i	−1.53293	−	0.498078i	−0.949415	+	0.314026i	$0.898322\pi$
$180$	−1.40128	−	13.3430i	−0.104445	−	0.994531i
$181$	−17.3582	+	5.64002i	−1.29022	+	0.419219i	−0.872170	−	0.489203i	$-0.837288\pi$
$181$	−17.3582	+	5.64002i	−1.29022	+	0.419219i	−0.418054	+	0.908422i	$0.637288\pi$
$182$	−9.74962	−	5.51933i	−0.722690	−	0.409120i
$183$	5.10197	−	2.77977i	0.377148	−	0.205486i
$184$	8.58945	+	5.91297i	0.633223	+	0.435910i
$185$	−6.08807	+	11.3815i	−0.447604	+	0.836788i
$186$	2.45753	+	8.00376i	0.180195	+	0.586864i
$187$	3.79198	−	5.21922i	0.277297	−	0.381667i
$188$	10.2710	+	0.903829i	0.749089	+	0.0659185i
$189$	−2.90410	+	7.09867i	−0.211242	+	0.516352i
$190$	2.03401	−	1.28798i	0.147563	−	0.0934399i
$191$	−21.2619	−	15.4476i	−1.53845	−	1.11775i	−0.951296	−	0.308279i	$-0.900247\pi$
$191$	−21.2619	−	15.4476i	−1.53845	−	1.11775i	−0.587158	−	0.809473i	$-0.699753\pi$
$192$	−7.23923	−	11.8150i	−0.522447	−	0.852672i
$193$			6.87149i			0.494620i	0.968936	+	0.247310i	$0.0795467\pi$
$193$			6.87149i			0.494620i	−0.968936	+	0.247310i	$0.920453\pi$
$194$	15.1232	+	3.08084i	1.08578	+	0.221191i
$195$	16.9103	+	12.0884i	1.21097	+	0.865666i
$196$	−9.39655	+	2.16436i	−0.671182	+	0.154597i
$197$	−15.0091	−	4.87675i	−1.06935	−	0.347454i	−0.279117	−	0.960257i	$-0.590042\pi$
$197$	−15.0091	−	4.87675i	−1.06935	−	0.347454i	−0.790235	+	0.612803i	$0.790042\pi$
$198$	−1.79591	−	3.42763i	−0.127630	−	0.243591i
$199$		−	7.62921i		−	0.540821i	−0.962745	−	0.270410i	$-0.912841\pi$
$199$		−	7.62921i		−	0.540821i	0.962745	−	0.270410i	$-0.0871594\pi$
$200$	11.5603	−	8.14618i	0.817434	−	0.576022i
$201$	−1.51030	−	8.08316i	−0.106529	−	0.570142i
$202$	−21.0661	+	2.39478i	−1.48220	+	0.168496i
$203$	−0.300780	+	0.925707i	−0.0211106	+	0.0649719i
$204$	22.4608	−	9.79162i	1.57257	−	0.685551i
$205$	12.1453	+	6.49662i	0.848266	+	0.453744i
$206$	−3.75493	+	18.4322i	−0.261619	+	1.28423i
$207$	3.99378	+	10.3143i	0.277587	+	0.716892i
$208$	21.1384	+	3.74933i	1.46569	+	0.259969i
$209$	0.408149	−	0.561768i	0.0282322	−	0.0388583i
$210$	−8.02562	+	0.974941i	−0.553820	+	0.0672773i
$211$	14.9820	−	10.8851i	1.03141	−	0.749361i	0.0628166	−	0.998025i	$-0.479992\pi$
$211$	14.9820	−	10.8851i	1.03141	−	0.749361i	0.968590	+	0.248665i	$0.0799917\pi$
$212$	16.8677	+	1.48433i	1.15848	+	0.101944i
$213$	7.99084	+	3.79716i	0.547523	+	0.260177i
$214$	2.05535	−	0.233651i	0.140501	−	0.0159720i
$215$	−8.68336	+	1.19833i	−0.592200	+	0.0817252i
$216$	0.716193	−	14.6795i	0.0487308	−	0.998812i
$217$	4.79830	−	1.55906i	0.325730	−	0.105836i
$218$	6.85890	−	12.1159i	0.464543	−	0.820593i
$219$	−18.2579	+	9.94768i	−1.23375	+	0.672202i
$220$	2.23178	−	3.41421i	0.150467	−	0.230186i
$221$	−11.7311	+	36.1045i	−0.789118	+	2.42865i
$222$	−8.49576	+	11.3025i	−0.570198	+	0.758576i
$223$	−7.18669	+	5.22144i	−0.481256	+	0.349653i	−0.801812	−	0.597576i	$-0.796130\pi$
$223$	−7.18669	+	5.22144i	−0.481256	+	0.349653i	0.320555	+	0.947230i	$0.396130\pi$
$224$	−7.04778	+	4.47741i	−0.470900	+	0.299160i
$225$	14.9982	−	0.230774i	0.999882	−	0.0153850i
$226$	−4.00729	−	2.26855i	−0.266561	−	0.150902i
$227$	10.8630	−	7.89245i	0.721004	−	0.523840i	−0.165701	−	0.986176i	$-0.552989\pi$
$227$	10.8630	−	7.89245i	0.721004	−	0.523840i	0.886705	+	0.462336i	$0.152989\pi$
$228$	2.41756	−	1.05392i	0.160107	−	0.0697974i
$229$	−4.70267	−	1.52799i	−0.310761	−	0.100972i	0.149484	−	0.988764i	$-0.452239\pi$
$229$	−4.70267	−	1.52799i	−0.310761	−	0.100972i	−0.460246	+	0.887792i	$0.652239\pi$
$230$	−7.44055	+	8.97583i	−0.490615	+	0.591849i
$231$	−2.04760	+	1.11562i	−0.134722	+	0.0734024i
$232$	−0.0474095	−	1.86454i	−0.00311258	−	0.122413i
$233$	−1.18426	−	3.64477i	−0.0775832	−	0.238777i	0.904742	−	0.425961i	$-0.140064\pi$
$233$	−1.18426	−	3.64477i	−0.0775832	−	0.238777i	−0.982325	+	0.187184i	$0.940064\pi$
$234$	16.2836	+	15.9169i	1.06449	+	1.04052i
$235$	−2.03002	+	11.3475i	−0.132424	+	0.740232i
$236$	11.6749	−	27.4657i	0.759972	−	1.78787i
$237$	−3.28605	+	6.91523i	−0.213452	+	0.449193i
$238$	−6.11950	−	13.4370i	−0.396668	−	0.870993i
$239$	20.9577	−	15.2267i	1.35564	−	0.984932i	0.356934	−	0.934130i	$-0.383822\pi$
$239$	20.9577	−	15.2267i	1.35564	−	0.984932i	0.998709	−	0.0508026i	$-0.0161779\pi$
$240$	13.8784	−	6.88410i	0.895845	−	0.444366i
$241$	−6.95611	−	5.05391i	−0.448082	−	0.325551i	0.340756	−	0.940152i	$-0.389317\pi$
$241$	−6.95611	−	5.05391i	−0.448082	−	0.325551i	−0.788838	+	0.614601i	$0.789317\pi$
$242$	−2.87045	+	14.0905i	−0.184520	+	0.905770i
$243$	9.39936	−	12.4359i	0.602969	−	0.797764i
$244$	5.06106	+	4.40401i	0.324001	+	0.281938i
$245$	−1.47380	−	10.6795i	−0.0941578	−	0.682291i
$246$	12.0610	+	9.06588i	0.768981	+	0.578019i
$247$	−1.26267	+	3.88610i	−0.0803417	+	0.247266i
$248$	−7.67444	+	5.87956i	−0.487327	+	0.373352i
$249$	17.9937	−	3.36204i	1.14030	−	0.213061i
$250$	7.91944	+	13.6851i	0.500869	+	0.865523i
$251$		−	11.6456i		−	0.735067i	−0.930010	−	0.367533i	$-0.880202\pi$
$251$		−	11.6456i		−	0.735067i	0.930010	−	0.367533i	$-0.119798\pi$
$252$	−8.85158	−	0.287778i	−0.557597	−	0.0181283i
$253$	−1.03912	+	3.19809i	−0.0653292	+	0.201062i
$254$	6.60470	−	6.04902i	0.414416	−	0.379549i
$255$	8.66551	+	25.9877i	0.542655	+	1.62742i
$256$	9.87607	−	12.5882i	0.617254	−	0.786764i
$257$	−8.81024			−0.549568			−0.274784	−	0.961506i	$-0.588606\pi$
$257$	−8.81024			−0.549568			−0.274784	+	0.961506i	$0.588606\pi$
$258$	−9.60103	−	0.156031i	−0.597734	−	0.00971405i
$259$	6.89310	+	5.00813i	0.428316	+	0.311190i
$260$	−6.28170	+	23.1658i	−0.389574	+	1.43668i
$261$	1.07262	−	1.66226i	0.0663933	−	0.102891i
$262$	−3.03122	+	1.38048i	−0.187270	+	0.0852865i
$263$	−7.17890	+	9.88090i	−0.442670	+	0.609283i	−0.970803	−	0.239879i	$-0.922892\pi$
$263$	−7.17890	+	9.88090i	−0.442670	+	0.609283i	0.528133	+	0.849162i	$0.322892\pi$
$264$	2.98752	−	3.32264i	0.183869	−	0.204494i
$265$	−3.33383	+	18.6356i	−0.204796	+	1.14478i
$266$	−0.658670	−	1.44629i	−0.0403856	−	0.0886776i
$267$	−12.5066	+	6.81411i	−0.765389	+	0.417017i
$268$	8.14141	−	4.88625i	0.497316	−	0.298475i
$269$	8.74298	+	26.9081i	0.533069	+	1.64062i	0.747785	+	0.663941i	$0.231117\pi$
$269$	8.74298	+	26.9081i	0.533069	+	1.64062i	−0.214717	+	0.976676i	$0.568883\pi$
$270$	16.2755	+	2.26039i	0.990493	+	0.137563i
$271$	22.5131	+	7.31496i	1.36757	+	0.444352i	0.898565	−	0.438841i	$-0.144611\pi$
$271$	22.5131	+	7.31496i	1.36757	+	0.444352i	0.469010	+	0.883193i	$0.344611\pi$
$272$	19.6332	+	20.3720i	1.19044	+	1.23524i
$273$	9.43069	−	9.96690i	0.570771	−	0.603224i
$274$	12.1947	+	6.90351i	0.736710	+	0.417056i
$275$	3.57961	+	2.82551i	0.215858	+	0.170385i
$276$	−9.55729	+	8.47178i	−0.575281	+	0.509941i
$277$	10.1520	−	7.37585i	0.609974	−	0.443172i	−0.239431	−	0.970913i	$-0.576961\pi$
$277$	10.1520	−	7.37585i	0.609974	−	0.443172i	0.849405	+	0.527742i	$0.176961\pi$
$278$	13.4980	−	12.3624i	0.809558	−	0.741447i
$279$	−10.2386	+	0.566485i	−0.612968	+	0.0339146i
$280$	−4.28364	−	8.29448i	−0.255997	−	0.495690i
$281$	15.5603	−	5.05586i	0.928253	−	0.301608i	0.194405	−	0.980921i	$-0.437723\pi$
$281$	15.5603	−	5.05586i	0.928253	−	0.301608i	0.733848	+	0.679314i	$0.237723\pi$
$282$	−4.09689	+	11.9449i	−0.243966	+	0.711308i
$283$	−8.52457	+	2.76980i	−0.506733	+	0.164647i	−0.551216	−	0.834363i	$-0.685836\pi$
$283$	−8.52457	+	2.76980i	−0.506733	+	0.164647i	0.0444830	+	0.999010i	$0.485836\pi$
$284$	−0.895512	+	10.1765i	−0.0531389	+	0.603862i
$285$	0.932708	+	2.79718i	0.0552489	+	0.165691i
$286$	0.781951	+	6.87856i	0.0462377	+	0.406738i
$287$	5.34421	−	7.35567i	0.315458	−	0.434191i
$288$	16.1767	−	5.12981i	0.953220	−	0.302277i
$289$	−26.7220	+	19.4147i	−1.57188	+	1.14204i
$290$	2.08105	+	0.133013i	0.122204	+	0.00781079i
$291$	−8.11290	+	17.0730i	−0.475586	+	1.00084i
$292$	−18.1115	−	15.7602i	−1.05990	−	0.922295i
$293$			20.6912i			1.20879i	0.796684	+	0.604396i	$0.206585\pi$
$293$			20.6912i			1.20879i	−0.796684	+	0.604396i	$0.793415\pi$
$294$	0.191900	−	11.8082i	0.0111918	−	0.688666i
$295$	29.4220	+	15.7380i	1.71301	+	0.916303i
$296$	−15.6510	−	4.64896i	−0.909696	−	0.270215i
$297$	4.60347	−	1.12649i	0.267120	−	0.0653653i
$298$	21.7014	−	2.46701i	1.25713	−	0.142910i
$299$		−	19.7876i		−	1.14435i
$300$	6.28300	+	16.1408i	0.362749	+	0.931887i
$301$			5.78626i			0.333515i
$302$	−3.33108	−	29.3024i	−0.191682	−	1.68616i
$303$	3.35185	−	25.7495i	0.192559	−	1.47927i
$304$	2.11322	+	2.19273i	0.121201	+	0.125762i
$305$	−5.40858	+	5.19704i	−0.309694	+	0.297582i
$306$	5.03162	+	29.5842i	0.287638	+	1.69122i
$307$		−	24.2712i		−	1.38523i	−0.721307	−	0.692615i	$-0.756458\pi$
$307$		−	24.2712i		−	1.38523i	0.721307	−	0.692615i	$-0.243542\pi$
$308$	−2.03118	−	1.76749i	−0.115737	−	0.100712i
$309$	−20.8086	−	9.88802i	−1.18376	−	0.562510i
$310$	−5.78260	−	9.13205i	−0.328430	−	0.518665i
$311$	6.50145	−	4.72358i	0.368664	−	0.267850i	−0.387993	−	0.921662i	$-0.626832\pi$
$311$	6.50145	−	4.72358i	0.368664	−	0.267850i	0.756657	+	0.653813i	$0.226832\pi$
$312$	−10.6777	+	24.0276i	−0.604505	+	1.36029i
$313$	0.190794	−	0.262606i	0.0107843	−	0.0148434i	−0.803591	−	0.595182i	$-0.797080\pi$
$313$	0.190794	−	0.262606i	0.0107843	−	0.0148434i	0.814375	+	0.580339i	$0.197080\pi$
$314$	−19.8162	+	2.25269i	−1.11829	+	0.127127i
$315$	1.20255	−	9.82830i	0.0677561	−	0.553762i
$316$	−8.80667	−	0.774972i	−0.495414	−	0.0435956i
$317$	14.0729	−	4.57256i	0.790412	−	0.256820i	0.114132	−	0.993466i	$-0.463591\pi$
$317$	14.0729	−	4.57256i	0.790412	−	0.256820i	0.676279	+	0.736645i	$0.263591\pi$
$318$	−6.72817	+	19.6167i	−0.377297	+	1.10005i
$319$	0.572013	−	0.185858i	0.0320266	−	0.0104061i
$320$	13.0339	+	12.2523i	0.728615	+	0.684924i
$321$	−0.327029	+	2.51229i	−0.0182530	+	0.140222i
$322$	5.19793	+	5.67543i	0.289670	+	0.316279i
$323$	−4.35654	+	3.16521i	−0.242405	+	0.176117i
$324$	17.2412	+	5.17106i	0.957846	+	0.287281i
$325$	−25.1711	−	9.30374i	−1.39624	−	0.516079i
$326$	13.3945	−	23.6607i	0.741852	−	1.31045i
$327$	12.3859	+	11.7196i	0.684943	+	0.648094i
$328$	−4.96093	+	16.7013i	−0.273922	+	0.922174i
$329$	7.23706	+	2.35146i	0.398992	+	0.129640i
$330$	3.40232	+	3.65797i	0.187292	+	0.201365i
$331$	−10.1271	−	31.1680i	−0.556636	−	1.71315i	−0.691582	−	0.722298i	$-0.743086\pi$
$331$	−10.1271	−	31.1680i	−0.556636	−	1.71315i	0.134946	−	0.990853i	$-0.456914\pi$
$332$	10.8771	+	18.1234i	0.596960	+	0.994648i
$333$	−10.9373	−	13.4262i	−0.599358	−	0.735754i
$334$	2.11387	−	0.962703i	0.115666	−	0.0526768i
$335$	4.62994	+	9.55307i	0.252960	+	0.521940i
$336$	−3.24917	−	9.69642i	−0.177257	−	0.528983i
$337$	19.0186	−	26.1769i	1.03601	−	1.42595i	0.135672	−	0.990754i	$-0.456681\pi$
$337$	19.0186	−	26.1769i	1.03601	−	1.42595i	0.900338	−	0.435191i	$-0.143319\pi$
$338$	−9.26435	−	20.3424i	−0.503914	−	1.10648i
$339$	3.87620	−	4.09660i	0.210527	−	0.222497i
$340$	−24.6425	+	19.8331i	−1.33643	+	1.07560i
$341$	−2.52215	−	1.83245i	−0.136582	−	0.0992328i
$342$	0.541576	+	3.18429i	0.0292851	+	0.172186i
$343$	−17.4487			−0.942143
$344$	−3.69325	−	10.4546i	−0.199127	−	0.563674i
$345$	−8.48163	−	11.4871i	−0.456636	−	0.618444i
$346$	0.276506	+	0.301907i	0.0148651	+	0.0162306i
$347$	6.39849	−	19.6925i	0.343489	−	1.05715i	−0.618899	−	0.785471i	$-0.712421\pi$
$347$	6.39849	−	19.6925i	0.343489	−	1.05715i	0.962388	−	0.271679i	$-0.0875791\pi$
$348$	2.23065	+	0.492300i	0.119575	+	0.0263900i
$349$		−	25.2430i		−	1.35122i	−0.737257	−	0.675612i	$-0.763879\pi$
$349$		−	25.2430i		−	1.35122i	0.737257	−	0.675612i	$-0.236121\pi$
$350$	9.66348	−	3.94363i	0.516535	−	0.210796i
$351$	−23.7148	+	14.6753i	−1.26580	+	0.783310i
$352$	4.79808	+	1.89703i	0.255739	+	0.101112i
$353$	−8.72990	+	26.8679i	−0.464646	+	1.43003i	0.394781	+	0.918775i	$0.370820\pi$
$353$	−8.72990	+	26.8679i	−0.464646	+	1.43003i	−0.859427	+	0.511258i	$0.829180\pi$
$354$	29.2177	+	21.9620i	1.55290	+	1.16727i
$355$	−11.2431	−	2.01134i	−0.596723	−	0.106751i
$356$	−12.4063	−	10.7956i	−0.657531	−	0.572167i
$357$	17.7756	−	3.32129i	0.940784	−	0.175781i
$358$	29.8832	+	6.08768i	1.57938	+	0.321744i
$359$	−14.3910	−	10.4557i	−0.759529	−	0.551830i	0.139237	−	0.990259i	$-0.455535\pi$
$359$	−14.3910	−	10.4557i	−0.759529	−	0.551830i	−0.898766	+	0.438429i	$0.855535\pi$
$360$	4.10042	+	18.5253i	0.216111	+	0.976369i
$361$	14.9024	−	10.8272i	0.784337	−	0.569854i
$362$	23.4902	−	10.6979i	1.23462	−	0.562270i
$363$	−15.9071	−	7.55887i	−0.834905	−	0.396738i
$364$	14.5815	+	6.19817i	0.764276	+	0.324872i
$365$	19.3552	−	18.5981i	1.01309	−	0.973471i
$366$	−6.72506	+	4.72101i	−0.351525	+	0.246771i
$367$	−1.72278	−	5.30217i	−0.0899284	−	0.276771i	0.895970	−	0.444114i	$-0.146481\pi$
$367$	−1.72278	−	5.30217i	−0.0899284	−	0.276771i	−0.985899	+	0.167343i	$0.946481\pi$
$368$	−13.0141	−	6.93662i	−0.678408	−	0.361596i
$369$	−14.3272	+	11.6712i	−0.745846	+	0.607579i
$370$	6.73667	−	16.9654i	0.350223	−	0.881990i
$371$	11.8852	+	3.86172i	0.617047	+	0.200491i
$372$	−4.73174	−	10.8540i	−0.245329	−	0.562755i
$373$	24.0659	−	17.4849i	1.24609	−	0.905335i	0.248099	−	0.968735i	$-0.420194\pi$
$373$	24.0659	−	17.4849i	1.24609	−	0.905335i	0.997988	+	0.0633995i	$0.0201942\pi$
$374$	−4.49465	+	7.93958i	−0.232413	+	0.410546i
$375$	−18.6002	+	5.38817i	−0.960510	+	0.278244i
$376$	−14.5768	+	0.370642i	−0.751740	+	0.0191144i
$377$	−2.86329	+	2.08030i	−0.147467	+	0.107141i
$378$	2.94681	−	10.4387i	0.151567	−	0.536908i
$379$	−6.37438	+	19.6183i	−0.327430	+	1.00773i	0.642902	+	0.765948i	$0.277730\pi$
$379$	−6.37438	+	19.6183i	−0.327430	+	1.00773i	−0.970332	+	0.241777i	$0.922270\pi$
$380$	−2.65238	+	2.13473i	−0.136064	+	0.109509i
$381$	5.24799	+	9.63212i	0.268863	+	0.493469i
$382$	32.3440	+	18.3101i	1.65486	+	0.936827i
$383$	−33.9753	+	11.0392i	−1.73606	+	0.564079i	−0.994303	−	0.106595i	$-0.966005\pi$
$383$	−33.9753	+	11.0392i	−1.73606	+	0.564079i	−0.741753	+	0.670674i	$0.766005\pi$
$384$	12.0596	+	15.4456i	0.615414	+	0.788204i
$385$	2.17066	−	2.08576i	0.110627	−	0.106300i
$386$	−1.09764	−	9.65556i	−0.0558683	−	0.491455i
$387$	3.01071	−	11.3685i	0.153043	−	0.577891i
$388$	−21.7427	−	1.91332i	−1.10382	−	0.0971343i
$389$	10.1156	−	7.34945i	0.512884	−	0.372632i	−0.301033	−	0.953614i	$-0.597331\pi$
$389$	10.1156	−	7.34945i	0.512884	−	0.372632i	0.813916	+	0.580982i	$0.197331\pi$
$390$	−25.6927	−	14.2849i	−1.30100	−	0.723345i
$391$	15.3281	−	21.0973i	0.775176	−	1.06694i
$392$	12.8580	−	4.54227i	0.649425	−	0.229419i
$393$	−0.749242	−	4.00995i	−0.0377943	−	0.202275i
$394$	21.8692	+	4.45510i	1.10175	+	0.224445i
$395$	1.74061	−	9.72974i	0.0875795	−	0.489556i
$396$	3.07107	+	4.52950i	0.154327	+	0.227616i
$397$	−5.65857	+	17.4153i	−0.283995	+	0.874048i	0.702703	+	0.711484i	$0.251976\pi$
$397$	−5.65857	+	17.4153i	−0.283995	+	0.874048i	−0.986698	+	0.162564i	$0.948024\pi$
$398$	1.21868	+	10.7203i	0.0610868	+	0.537360i
$399$	1.91327	−	0.357486i	0.0957832	−	0.0178967i
$400$	−14.9428	+	13.2933i	−0.747141	+	0.664666i
$401$			35.1271i			1.75416i	0.480341	+	0.877082i	$0.340513\pi$
$401$			35.1271i			1.75416i	−0.480341	+	0.877082i	$0.659487\pi$
$402$	3.41341	+	11.1169i	0.170246	+	0.554461i
$403$	17.4473	+	5.66897i	0.869111	+	0.282391i
$404$	29.2188	−	6.73012i	1.45369	−	0.334836i
$405$	−7.47655	+	18.6842i	−0.371513	+	0.928428i
$406$	0.274775	−	1.34881i	0.0136368	−	0.0669406i
$407$		−	5.26489i		−	0.260971i
$408$	−29.9970	+	17.3467i	−1.48507	+	0.858788i
$409$	−1.41903	−	1.03098i	−0.0701664	−	0.0509788i	0.552149	−	0.833745i	$-0.313808\pi$
$409$	−1.41903	−	1.03098i	−0.0701664	−	0.0509788i	−0.622315	+	0.782767i	$0.713808\pi$
$410$	−18.1039	−	7.18874i	−0.894088	−	0.355027i
$411$	−11.7958	+	12.4665i	−0.581844	+	0.614927i
$412$	2.33196	−	26.5001i	0.114888	−	1.30557i
$413$	12.9463	−	17.8191i	0.637046	−	0.876819i
$414$	−7.25950	−	13.8553i	−0.356785	−	0.680950i
$415$	−21.2658	+	10.3066i	−1.04390	+	0.505929i
$416$	−30.3019	−	1.89180i	−1.48567	−	0.0927531i
$417$	10.7253	+	19.6852i	0.525221	+	0.963987i
$418$	−0.483779	+	0.854573i	−0.0236624	+	0.0417985i
$419$	13.8809	−	4.51019i	0.678128	−	0.220337i	0.0503524	−	0.998732i	$-0.483966\pi$
$419$	13.8809	−	4.51019i	0.678128	−	0.220337i	0.627776	+	0.778394i	$0.283966\pi$
$420$	11.1216	−	2.65195i	0.542677	−	0.129402i
$421$	0.257110	+	0.0835399i	0.0125308	+	0.00407149i	0.315276	−	0.949000i	$-0.397903\pi$
$421$	0.257110	+	0.0835399i	0.0125308	+	0.00407149i	−0.302745	+	0.953072i	$0.597903\pi$
$422$	−19.3134	+	17.6885i	−0.940164	+	0.861064i
$423$	−12.9954	−	8.38558i	−0.631856	−	0.407721i
$424$	−23.9389	+	0.608691i	−1.16258	+	0.0295607i
$425$	−19.6302	−	29.4179i	−0.952203	−	1.42698i
$426$	−11.8350	−	4.05919i	−0.573407	−	0.196668i
$427$	2.91032	+	4.00571i	0.140840	+	0.193850i
$428$	−2.85077	+	0.656634i	−0.137797	+	0.0317396i
$429$	−8.40781	−	1.09446i	−0.405933	−	0.0528408i
$430$	12.0101	−	3.07091i	0.579179	−	0.148092i
$431$	−3.90922	−	12.0313i	−0.188300	−	0.579529i	0.811689	−	0.584089i	$-0.198548\pi$
$431$	−3.90922	−	12.0313i	−0.188300	−	0.579529i	−0.999990	+	0.00456076i	$0.998548\pi$
$432$	1.33851	+	20.7415i	0.0643989	+	0.997924i
$433$	18.1781	−	5.90641i	0.873581	−	0.283844i	0.162292	−	0.986743i	$-0.448111\pi$
$433$	18.1781	−	5.90641i	0.873581	−	0.283844i	0.711290	+	0.702899i	$0.248111\pi$
$434$	−6.49335	+	2.95721i	−0.311691	+	0.141951i
$435$	−0.770508	+	2.43496i	−0.0369430	+	0.116747i
$436$	−7.70249	+	18.1205i	−0.368883	+	0.867812i
$437$	1.64983	−	2.27080i	0.0789223	−	0.108627i
$438$	24.0663	−	16.8946i	1.14993	−	0.807256i
$439$	11.9991	+	16.5153i	0.572685	+	0.788233i	0.992870	−	0.119205i	$-0.0380347\pi$
$439$	11.9991	+	16.5153i	0.572685	+	0.788233i	−0.420185	+	0.907439i	$0.638035\pi$
$440$	−2.59064	+	5.15402i	−0.123504	+	0.245708i
$441$	13.9819	+	3.70283i	0.665804	+	0.176325i
$442$	10.7168	−	52.6067i	0.509746	−	2.50224i
$443$	22.3281			1.06084			0.530419	−	0.847735i	$-0.322034\pi$
$443$	22.3281			1.06084			0.530419	+	0.847735i	$0.322034\pi$
$444$	10.1325	−	17.2390i	0.480866	−	0.818126i
$445$	13.2582	−	12.7396i	0.628497	−	0.603916i
$446$	9.26441	−	8.48496i	0.438683	−	0.401775i
$447$	−3.45294	+	26.5261i	−0.163318	+	1.25464i
$448$	9.18807	−	7.41730i	0.434095	−	0.350434i
$449$			15.2019i			0.717421i	0.933449	+	0.358710i	$0.116783\pi$
$449$			15.2019i			0.717421i	−0.933449	+	0.358710i	$0.883217\pi$
$450$	−21.0381	+	2.72007i	−0.991745	+	0.128225i
$451$	−5.61820			−0.264551
$452$	5.99327	+	2.54757i	0.281900	+	0.119828i
$453$	35.8169	+	4.66234i	1.68282	+	0.219056i
$454$	−14.0036	+	12.8254i	−0.657221	+	0.601927i
$455$	−8.35526	+	15.6200i	−0.391701	+	0.732277i
$456$	−3.22871	+	1.86710i	−0.151198	+	0.0874350i
$457$		−	19.5507i		−	0.914543i	−0.889327	−	0.457272i	$-0.848827\pi$
$457$		−	19.5507i		−	0.914543i	0.889327	−	0.457272i	$-0.151173\pi$
$458$	6.85210	+	1.39588i	0.320177	+	0.0652252i
$459$	−36.6524	−	2.72356i	−1.71079	−	0.127125i
$460$	9.02140	−	13.8011i	0.420625	−	0.643477i
$461$	−1.21194	+	0.880524i	−0.0564456	+	0.0410101i	−0.615650	−	0.788020i	$-0.711107\pi$
$461$	−1.21194	+	0.880524i	−0.0564456	+	0.0410101i	0.559205	+	0.829030i	$0.311107\pi$
$462$	2.69901	−	1.89471i	0.125569	−	0.0881499i
$463$	−1.78562	−	1.29733i	−0.0829849	−	0.0602920i	0.545519	−	0.838098i	$-0.316332\pi$
$463$	−1.78562	−	1.29733i	−0.0829849	−	0.0602920i	−0.628504	+	0.777806i	$0.716332\pi$
$464$	0.364457	+	2.61242i	0.0169195	+	0.121278i
$465$	12.5584	−	4.18755i	0.582382	−	0.194193i
$466$	2.24628	+	4.93232i	0.104057	+	0.228485i
$467$	−9.51741	−	29.2916i	−0.440413	−	1.35545i	−0.887437	−	0.460930i	$-0.847516\pi$
$467$	−9.51741	−	29.2916i	−0.440413	−	1.35545i	0.447024	−	0.894522i	$-0.352484\pi$
$468$	−25.4236	−	19.7648i	−1.17521	−	0.913626i
$469$	6.66465	−	2.16548i	0.307745	−	0.0999924i
$470$	1.03988	−	16.2694i	0.0479660	−	0.750452i
$471$	3.15297	−	24.2217i	0.145281	−	1.11608i
$472$	−12.0178	+	40.4588i	−0.553165	+	1.86227i
$473$	2.89260	−	2.10160i	0.133002	−	0.0966316i
$474$	3.51280	−	10.2419i	0.161348	−	0.470428i
$475$	−2.11289	−	3.16638i	−0.0969458	−	0.145284i
$476$	10.7453	+	17.9037i	0.492510	+	0.820614i
$477$	−21.3418	−	13.7713i	−0.977175	−	0.630547i
$478$	−27.0167	+	24.7437i	−1.23572	+	1.13175i
$479$	11.5108	−	35.4267i	0.525943	−	1.61869i	−0.236500	−	0.971631i	$-0.576000\pi$
$479$	11.5108	−	35.4267i	0.525943	−	1.61869i	0.762443	−	0.647055i	$-0.224000\pi$
$480$	−18.4017	+	11.8902i	−0.839920	+	0.542710i
$481$	9.57370	+	29.4648i	0.436523	+	1.34348i
$482$	10.5818	+	5.99041i	0.481986	+	0.272856i
$483$	−8.27690	+	4.50961i	−0.376612	+	0.205194i
$484$	1.78266	−	20.2579i	0.0810302	−	0.920816i
$485$	4.29737	−	24.0217i	0.195134	−	1.09077i
$486$	−11.2211	+	18.9759i	−0.509001	+	0.860766i
$487$	−16.5892	−	12.0528i	−0.751731	−	0.546164i	0.144632	−	0.989485i	$-0.453800\pi$
$487$	−16.5892	−	12.0528i	−0.751731	−	0.546164i	−0.896363	+	0.443321i	$0.853800\pi$
$488$	−7.81510	−	5.37990i	−0.353773	−	0.243537i
$489$	24.1880	+	22.8867i	1.09382	+	1.03497i
$490$	3.77686	+	14.7711i	0.170621	+	0.667289i
$491$	−15.3062	+	21.0671i	−0.690757	+	0.950746i	−1.00000		0.000237229i	$-0.999924\pi$
$491$	−15.3062	+	21.0671i	−0.690757	+	0.950746i	0.309243	+	0.950983i	$0.399924\pi$
$492$	−18.3958	−	10.8124i	−0.829348	−	0.487462i
$493$	−4.66428			−0.210069
$494$	1.15350	−	5.66230i	0.0518984	−	0.254759i
$495$	−5.35002	+	2.96852i	−0.240465	+	0.133425i
$496$	9.84465	−	9.48764i	0.442038	−	0.426008i
$497$	−2.32983	+	7.17047i	−0.104507	+	0.321639i
$498$	−24.7470	+	7.59850i	−1.10894	+	0.340497i
$499$	−9.63456			−0.431302			−0.215651	−	0.976470i	$-0.569187\pi$
$499$	−9.63456			−0.431302			−0.215651	+	0.976470i	$0.569187\pi$
$500$	−13.3141	−	17.9648i	−0.595426	−	0.803410i
$501$	0.522496	+	2.79641i	0.0233434	+	0.124934i
$502$	1.86026	+	16.3640i	0.0830273	+	0.730363i
$503$	−6.62224	−	2.15170i	−0.295271	−	0.0959394i	0.157635	−	0.987497i	$-0.449613\pi$
$503$	−6.62224	−	2.15170i	−0.295271	−	0.0959394i	−0.452907	+	0.891558i	$0.649613\pi$
$504$	12.4839	−	1.00956i	0.556076	−	0.0449694i
$505$	4.58282	+	33.2082i	0.203933	+	1.47775i
$506$	0.949281	−	4.65983i	0.0422007	−	0.207155i
$507$	26.9106	−	5.02812i	1.19514	−	0.223307i
$508$	−8.31443	+	9.55489i	−0.368893	+	0.423930i
$509$	−17.3660	−	12.6171i	−0.769734	−	0.559244i	0.132146	−	0.991230i	$-0.457813\pi$
$509$	−17.3660	−	12.6171i	−0.769734	−	0.559244i	−0.901880	+	0.431986i	$0.857813\pi$
$510$	−16.3277	−	35.1328i	−0.723002	−	1.55571i
$511$	−10.4149	−	14.3348i	−0.460726	−	0.634135i
$512$	−11.8667	+	19.2661i	−0.524438	+	0.851449i
$513$	−3.94507	−	0.293149i	−0.174179	−	0.0129428i
$514$	12.3798	−	1.40733i	0.546051	−	0.0620747i
$515$	29.2777	+	5.23765i	1.29013	+	0.230798i
$516$	13.5159	−	1.31440i	0.595006	−	0.0578634i
$517$	−1.45302	−	4.47193i	−0.0639037	−	0.196675i
$518$	−10.4859	−	5.93615i	−0.460725	−	0.260819i
$519$	−0.440293	+	0.239890i	−0.0193267	+	0.0105300i
$520$	5.12635	−	33.5552i	0.224805	−	1.47149i
$521$	9.29592	+	3.02043i	0.407262	+	0.132327i	0.505482	−	0.862837i	$-0.331315\pi$
$521$	9.29592	+	3.02043i	0.407262	+	0.132327i	−0.0982199	+	0.995165i	$0.531315\pi$
$522$	−1.24167	+	2.50709i	−0.0543466	+	0.109732i
$523$	−14.7699	−	20.3290i	−0.645842	−	0.888926i	0.353068	−	0.935598i	$-0.385138\pi$
$523$	−14.7699	−	20.3290i	−0.645842	−	0.888926i	−0.998910	+	0.0466719i	$0.985138\pi$
$524$	4.03885	−	2.42401i	0.176438	−	0.105893i
$525$	1.84487	+	12.6491i	0.0805168	+	0.552051i
$526$	8.50916	−	15.0310i	0.371017	−	0.655384i
$527$	14.2108	+	19.5594i	0.619030	+	0.852022i
$528$	−3.66721	+	5.14607i	−0.159595	+	0.223954i
$529$	2.90700	−	8.94684i	0.126391	−	0.388993i
$530$	1.70776	−	26.7187i	0.0741802	−	1.16058i
$531$	−34.7076	+	28.2734i	−1.50618	+	1.22696i
$532$	1.15657	+	1.92706i	0.0501435	+	0.0835485i
$533$	31.4421	−	10.2162i	1.36191	−	0.442511i
$534$	16.4853	−	11.5727i	0.713388	−	0.500800i
$535$	−0.447130	−	3.24001i	−0.0193311	−	0.140078i
$536$	−10.6595	+	8.16648i	−0.460420	+	0.352738i
$537$	−16.0309	+	33.7359i	−0.691785	+	1.45581i
$538$	−16.5836	−	36.4137i	−0.714968	−	1.56991i
$539$	2.58472	+	3.55757i	0.111332	+	0.153235i
$540$	−23.2308	−	0.576410i	−0.999692	−	0.0248047i
$541$	2.34729	−	3.23076i	0.100918	−	0.138901i	−0.755572	−	0.655066i	$-0.772641\pi$
$541$	2.34729	−	3.23076i	0.100918	−	0.138901i	0.856489	+	0.516165i	$0.172641\pi$
$542$	−32.8031	−	6.68250i	−1.40901	−	0.287038i
$543$	5.80618	+	31.0747i	0.249167	+	1.33354i
$544$	−30.8421	−	25.4898i	−1.32234	−	1.09287i
$545$	−19.4111	−	10.3831i	−0.831479	−	0.444764i
$546$	−11.6596	+	15.5116i	−0.498983	+	0.663834i
$547$	−1.21106	−	0.393497i	−0.0517811	−	0.0168247i	0.283012	−	0.959116i	$-0.408666\pi$
$547$	−1.21106	−	0.393497i	−0.0517811	−	0.0168247i	−0.334793	+	0.942292i	$0.608666\pi$
$548$	−18.2383	−	7.75260i	−0.779103	−	0.331175i
$549$	−3.63374	−	9.38443i	−0.155084	−	0.400518i
$550$	−5.48127	−	3.39851i	−0.233722	−	0.144913i
$551$	−0.502038			−0.0213875
$552$	12.0763	−	13.4309i	0.514001	−	0.571657i
$553$	−6.20529	−	2.01622i	−0.263876	−	0.0857384i
$554$	−13.0870	+	11.9859i	−0.556013	+	0.509233i
$555$	18.1873	+	13.0013i	0.772009	+	0.551874i
$556$	−16.9922	+	19.5273i	−0.720629	+	0.828143i
$557$		−	16.8290i		−	0.713067i	−0.934283	−	0.356534i	$-0.883959\pi$
$557$		−	16.8290i		−	0.713067i	0.934283	−	0.356534i	$-0.116041\pi$
$558$	14.2964	−	2.43150i	0.605214	−	0.102933i
$559$	−12.3668	+	17.0214i	−0.523060	+	0.719930i
$560$	7.34417	+	10.9708i	0.310348	+	0.463603i
$561$	−8.11652	−	7.67986i	−0.342680	−	0.324244i
$562$	−21.0572	+	9.58990i	−0.888245	+	0.404525i
$563$	−12.4265	−	9.02837i	−0.523714	−	0.380500i	0.294287	−	0.955717i	$-0.404918\pi$
$563$	−12.4265	−	9.02837i	−0.523714	−	0.380500i	−0.818001	+	0.575217i	$0.804918\pi$
$564$	3.84874	−	17.4390i	0.162061	−	0.734313i
$565$	−3.43418	+	6.42014i	−0.144477	+	0.270097i
$566$	11.5360	−	5.25372i	0.484893	−	0.220830i
$567$	11.5431	+	6.57507i	0.484765	+	0.276127i
$568$	−0.367231	−	14.4427i	−0.0154087	−	0.606000i
$569$	−1.31798	+	0.428239i	−0.0552528	+	0.0179527i	−0.336513	−	0.941679i	$-0.609248\pi$
$569$	−1.31798	+	0.428239i	−0.0552528	+	0.0179527i	0.281260	+	0.959632i	$0.409248\pi$
$570$	−1.75742	−	3.78150i	−0.0736104	−	0.158390i
$571$	−3.52223	+	10.8403i	−0.147401	+	0.453653i	−0.997312	−	0.0732733i	$-0.976655\pi$
$571$	−3.52223	+	10.8403i	−0.147401	+	0.453653i	0.849911	+	0.526926i	$0.176655\pi$
$572$	−2.19754	−	9.54059i	−0.0918837	−	0.398912i
$573$	−31.2859	+	33.0648i	−1.30699	+	1.38130i
$574$	−6.33450	+	11.1896i	−0.264397	+	0.467044i
$575$	14.4696	+	11.4214i	0.603425	+	0.476306i
$576$	−21.9115	+	9.79226i	−0.912977	+	0.408011i
$577$	10.3388	+	14.2301i	0.430410	+	0.592408i	0.968047	−	0.250768i	$-0.0806831\pi$
$577$	10.3388	+	14.2301i	0.430410	+	0.592408i	−0.537637	+	0.843176i	$0.680683\pi$
$578$	34.4475	−	31.5493i	1.43283	−	1.31228i
$579$	11.8022	+	1.53631i	0.490482	+	0.0638468i
$580$	−2.94546	+	0.145519i	−0.122304	+	0.00604233i
$581$	4.82050	+	14.8360i	0.199988	+	0.615500i
$582$	8.67274	−	25.2863i	0.359496	−	1.04815i
$583$	−2.38624	−	7.34409i	−0.0988279	−	0.304161i
$584$	27.9671	+	19.2525i	1.15729	+	0.796675i
$585$	24.5433	−	26.3417i	1.01474	−	1.08910i
$586$	−3.30517	−	29.0745i	−0.136535	−	1.20106i
$587$	−1.79724	−	1.30577i	−0.0741798	−	0.0538948i	0.550077	−	0.835114i	$-0.314598\pi$
$587$	−1.79724	−	1.30577i	−0.0741798	−	0.0538948i	−0.624257	+	0.781219i	$0.714598\pi$
$588$	1.61656	+	16.6231i	0.0666660	+	0.685523i
$589$	1.52957	+	2.10527i	0.0630248	+	0.0867462i
$590$	−43.8566	−	17.4147i	−1.80555	−	0.716951i
$591$	−11.7318	+	24.6887i	−0.482582	+	1.01556i
$592$	22.7348	+	4.03248i	0.934396	+	0.165734i
$593$	−3.06865			−0.126014			−0.0630072	−	0.998013i	$-0.520069\pi$
$593$	−3.06865			−0.126014			−0.0630072	+	0.998013i	$0.520069\pi$
$594$	−6.28868	+	2.31825i	−0.258028	+	0.0951188i
$595$	−21.0081	+	10.1816i	−0.861247	+	0.417407i
$596$	−30.1000	+	6.93309i	−1.23294	+	0.283990i
$597$	−13.1036	−	1.70572i	−0.536296	−	0.0698104i
$598$	3.16083	+	27.8048i	0.129256	+	1.13702i
$599$	21.5336			0.879841			0.439920	−	0.898037i	$-0.355007\pi$
$599$	21.5336			0.879841			0.439920	+	0.898037i	$0.355007\pi$
$600$	−11.4069	−	21.6768i	−0.465686	−	0.884950i
$601$	0.941808			0.0384171			0.0192086	−	0.999815i	$-0.493885\pi$
$601$	0.941808			0.0384171			0.0192086	+	0.999815i	$0.493885\pi$
$602$	−0.924288	−	8.13065i	−0.0376712	−	0.331380i
$603$	−14.2210	+	0.786826i	−0.579123	+	0.0320420i
$604$	9.36142	+	40.6425i	0.380911	+	1.65372i
$605$	22.3813	+	4.00391i	0.909928	+	0.162782i
$606$	−0.596716	+	36.7177i	−0.0242399	+	1.49155i
$607$	35.6689			1.44775			0.723877	−	0.689929i	$-0.242358\pi$
$607$	35.6689			1.44775			0.723877	+	0.689929i	$0.242358\pi$
$608$	−3.31968	−	2.74359i	−0.134631	−	0.111267i
$609$	1.52271	+	0.723575i	0.0617033	+	0.0293207i
$610$	6.76977	−	8.16665i	0.274100	−	0.330658i
$611$	16.2635	+	22.3848i	0.657952	+	0.905594i
$612$	−11.7960	−	40.7669i	−0.476824	−	1.64791i
$613$	4.35028	+	3.16066i	0.175706	+	0.127658i	0.672162	−	0.740404i	$-0.265366\pi$
$613$	4.35028	+	3.16066i	0.175706	+	0.127658i	−0.496456	+	0.868062i	$0.665366\pi$
$614$	3.87704	+	34.1050i	0.156465	+	1.37637i
$615$	13.8738	−	19.4078i	0.559444	−	0.782599i
$616$	3.13648	+	2.15915i	0.126372	+	0.0869945i
$617$	−2.71674	−	8.36126i	−0.109372	−	0.336612i	0.881360	−	0.472446i	$-0.156629\pi$
$617$	−2.71674	−	8.36126i	−0.109372	−	0.336612i	−0.990732	+	0.135834i	$0.956629\pi$
$618$	30.8190	+	10.5704i	1.23972	+	0.425202i
$619$	−3.36841	−	10.3669i	−0.135388	−	0.416681i	0.860262	−	0.509852i	$-0.170300\pi$
$619$	−3.36841	−	10.3669i	−0.135388	−	0.416681i	−0.995650	+	0.0931706i	$0.970300\pi$
$620$	9.58424	+	11.9083i	0.384912	+	0.478249i
$621$	18.6083	−	4.55353i	0.746726	−	0.182727i
$622$	−8.38107	+	7.67593i	−0.336050	+	0.307777i
$623$	−7.13412	−	9.81927i	−0.285822	−	0.393401i
$624$	11.1658	−	35.4683i	0.446989	−	1.41987i
$625$	21.3321	−	13.0362i	0.853284	−	0.521447i
$626$	−0.226149	+	0.399481i	−0.00903873	+	0.0159665i
$627$	−0.873618	−	0.826618i	−0.0348889	−	0.0330120i
$628$	27.4851	−	6.33080i	1.09678	−	0.252626i
$629$	−12.6170	+	38.8312i	−0.503073	+	1.54830i
$630$	−0.119825	+	14.0025i	−0.00477395	+	0.557871i
$631$	−29.7261	+	9.65860i	−1.18338	+	0.384503i	−0.833621	−	0.552337i	$-0.813736\pi$
$631$	−29.7261	+	9.65860i	−1.18338	+	0.384503i	−0.349758	+	0.936840i	$0.613736\pi$
$632$	12.4986	−	0.317800i	0.497168	−	0.0126414i
$633$	−15.3462	−	28.1662i	−0.609955	−	1.11951i
$634$	−19.0443	+	8.67317i	−0.756345	+	0.344455i
$635$	−9.81161	−	10.2110i	−0.389362	−	0.405211i
$636$	6.32065	−	28.6394i	0.250630	−	1.13563i
$637$	−20.9344	−	15.2097i	−0.829452	−	0.602632i
$638$	−0.774083	+	0.352534i	−0.0306462	+	0.0139569i
$639$	8.30842	−	12.8758i	0.328676	−	0.509358i
$640$	−20.2719	−	15.1345i	−0.801316	−	0.598242i
$641$	−10.0360	+	13.8134i	−0.396400	+	0.545598i	−0.959836	−	0.280562i	$-0.909479\pi$
$641$	−10.0360	+	13.8134i	−0.396400	+	0.545598i	0.563436	+	0.826160i	$0.309479\pi$
$642$	0.0582195	−	3.58242i	0.00229774	−	0.141387i
$643$		−	18.1038i		−	0.713945i	−0.934115	−	0.356973i	$-0.883809\pi$
$643$		−	18.1038i		−	0.713945i	0.934115	−	0.356973i	$-0.116191\pi$
$644$	−8.21053	−	7.14460i	−0.323540	−	0.281537i
$645$	0.116795	+	15.1821i	0.00459880	+	0.597795i
$646$	5.61605	−	5.14355i	0.220960	−	0.202370i
$647$	4.02142	+	1.30664i	0.158098	+	0.0513693i	0.386997	−	0.922081i	$-0.373512\pi$
$647$	4.02142	+	1.30664i	0.158098	+	0.0513693i	−0.228899	+	0.973450i	$0.573512\pi$
$648$	−25.0528	−	4.51210i	−0.984165	−	0.177252i
$649$	−13.6101			−0.534241
$650$	36.8556	+	9.05249i	1.44560	+	0.355068i
$651$	−1.60499	−	8.58994i	−0.0629046	−	0.336666i
$652$	−15.0419	+	35.3868i	−0.589087	+	1.38585i
$653$	−2.92781	−	0.951303i	−0.114574	−	0.0372274i	0.251169	−	0.967943i	$-0.419185\pi$
$653$	−2.92781	−	0.951303i	−0.114574	−	0.0372274i	−0.365743	+	0.930716i	$0.619185\pi$
$654$	−19.2763	−	14.4894i	−0.753763	−	0.566581i
$655$	2.29685	+	4.73916i	0.0897454	+	0.185174i
$656$	4.30308	−	24.2605i	0.168007	−	0.947213i
$657$	13.0037	+	33.5831i	0.507322	+	1.31020i
$658$	−10.5449	−	2.14816i	−0.411082	−	0.0837438i
$659$	4.08719	−	5.62553i	0.159214	−	0.219140i	−0.721956	−	0.691939i	$-0.756757\pi$
$659$	4.08719	−	5.62553i	0.159214	−	0.219140i	0.881170	+	0.472800i	$0.156757\pi$
$660$	−5.36514	−	4.59656i	−0.208838	−	0.178921i
$661$	−4.95272	−	6.81684i	−0.192639	−	0.265144i	0.701762	−	0.712412i	$-0.252397\pi$
$661$	−4.95272	−	6.81684i	−0.192639	−	0.265144i	−0.894400	+	0.447268i	$0.852397\pi$
$662$	19.2090	+	42.1785i	0.746578	+	1.63931i
$663$	59.3889	+	28.2210i	2.30647	+	1.09601i
$664$	−18.1791	−	23.7288i	−0.705488	−	0.920855i
$665$	−2.26119	+	1.09590i	−0.0876853	+	0.0424971i
$666$	17.5133	+	17.1190i	0.678627	+	0.663347i
$667$	2.31221	−	0.751284i	0.0895293	−	0.0290898i
$668$	−2.81656	+	1.69042i	−0.108976	+	0.0654044i
$669$	7.36135	+	13.5110i	0.284606	+	0.522364i
$670$	−8.03181	−	12.6841i	−0.310296	−	0.490028i
$671$	0.945445	−	2.90978i	0.0364985	−	0.112331i
$672$	6.11451	+	13.1060i	0.235872	+	0.505576i
$673$	11.8527	+	16.3139i	0.456888	+	0.628853i	0.973860	−	0.227150i	$-0.0729407\pi$
$673$	11.8527	+	16.3139i	0.456888	+	0.628853i	−0.516971	+	0.856003i	$0.672941\pi$
$674$	−22.5428	+	39.8208i	−0.868317	+	1.53384i
$675$	2.95689	−	25.8120i	0.113811	−	0.993502i
$676$	16.2674	+	27.1045i	0.625668	+	1.04248i
$677$	7.30570	+	10.0554i	0.280781	+	0.386462i	0.925992	−	0.377542i	$-0.123231\pi$
$677$	7.30570	+	10.0554i	0.280781	+	0.386462i	−0.645211	+	0.764004i	$0.723231\pi$
$678$	−4.79232	+	6.37557i	−0.184048	+	0.244852i
$679$	−15.3202	−	4.97783i	−0.587935	−	0.191032i
$680$	31.4586	−	31.8051i	1.20638	−	1.21967i
$681$	−11.1270	−	20.4225i	−0.426389	−	0.782591i
$682$	3.83675	+	2.17201i	0.146917	+	0.0831705i
$683$	12.8755	+	39.6268i	0.492668	+	1.51628i	0.820559	+	0.571561i	$0.193662\pi$
$683$	12.8755	+	39.6268i	0.492668	+	1.51628i	−0.327891	+	0.944716i	$0.606338\pi$
$684$	−1.26966	−	4.38793i	−0.0485465	−	0.167777i
$685$	10.4507	−	19.5373i	0.399300	−	0.746483i
$686$	24.5183	−	2.78723i	0.936114	−	0.106417i
$687$	−3.67582	+	7.73549i	−0.140241	+	0.295128i
$688$	6.85961	+	14.1005i	0.261520	+	0.537575i
$689$	26.7090	+	36.7618i	1.01753	+	1.40051i
$690$	13.7530	+	14.7864i	0.523568	+	0.562908i
$691$	−18.1538	−	13.1895i	−0.690604	−	0.501753i	0.186255	−	0.982502i	$-0.440365\pi$
$691$	−18.1538	−	13.1895i	−0.690604	−	0.501753i	−0.876859	+	0.480748i	$0.840365\pi$
$692$	−0.436763	−	0.380060i	−0.0166032	−	0.0144477i
$693$	1.45835	+	3.76631i	0.0553981	+	0.143070i
$694$	−5.84527	+	28.6933i	−0.221884	+	1.08918i
$695$	−20.0520	−	20.8682i	−0.760615	−	0.791575i
$696$	−3.21307	−	0.335441i	−0.121791	−	0.0127149i
$697$	41.4370	+	13.4637i	1.56954	+	0.509974i
$698$	4.03226	+	35.4705i	0.152623	+	1.34258i
$699$	−6.52488	+	1.21915i	−0.246794	+	0.0461123i
$700$	−12.9488	+	7.08507i	−0.489419	+	0.267790i
$701$	21.3959			0.808113			0.404056	−	0.914734i	$-0.367600\pi$
$701$	21.3959			0.808113			0.404056	+	0.914734i	$0.367600\pi$
$702$	30.9789	−	24.4093i	1.16922	−	0.921271i
$703$	−1.35803	+	4.17958i	−0.0512190	+	0.157636i
$704$	−7.04512	−	1.89919i	−0.265523	−	0.0715786i
$705$	19.0362	+	6.02374i	0.716945	+	0.226867i
$706$	7.97511	−	39.1483i	0.300147	−	1.47336i
$707$	22.1287			0.832235
$708$	−44.5638	−	26.1931i	−1.67481	−	0.984396i
$709$	5.06692	−	6.97402i	0.190292	−	0.261915i	−0.703201	−	0.710991i	$-0.748247\pi$
$709$	5.06692	−	6.97402i	0.190292	−	0.261915i	0.893494	+	0.449076i	$0.148247\pi$
$710$	16.1197	+	1.03031i	0.604962	+	0.0386668i
$711$	11.1426	+	7.19007i	0.417882	+	0.269649i
$712$	19.1573	+	13.1879i	0.717951	+	0.494236i
$713$	−10.1951	−	7.40721i	−0.381811	−	0.277402i
$714$	−24.4471	+	7.50640i	−0.914909	+	0.280920i
$715$	10.8432	−	1.49640i	0.405514	−	0.0559620i
$716$	−42.9632	−	3.78069i	−1.60561	−	0.141291i
$717$	−21.4671	−	39.4005i	−0.801702	−	1.47144i
$718$	21.8919	+	12.3931i	0.816998	+	0.462508i
$719$	8.93830	+	27.5092i	0.333342	+	1.02592i	0.967533	+	0.252745i	$0.0813334\pi$
$719$	8.93830	+	27.5092i	0.333342	+	1.02592i	−0.634191	+	0.773177i	$0.718667\pi$
$720$	−8.72096	−	25.3761i	−0.325011	−	0.945710i
$721$	6.06700	−	18.6723i	0.225947	−	0.695393i
$722$	−19.2108	+	17.5945i	−0.714952	+	0.654800i
$723$	−10.2356	+	10.8176i	−0.380667	+	0.402311i
$724$	−31.2987	+	18.7846i	−1.16321	+	0.698124i
$725$	0.131477	−	3.29452i	0.00488293	−	0.122356i
$726$	23.5595	+	8.08048i	0.874374	+	0.299895i
$727$	−4.22018	+	3.06614i	−0.156518	+	0.113717i	−0.663288	−	0.748365i	$-0.730839\pi$
$727$	−4.22018	+	3.06614i	−0.156518	+	0.113717i	0.506770	+	0.862081i	$0.330839\pi$
$728$	−21.4794	−	6.38022i	−0.796080	−	0.236467i
$729$	−19.2580	−	18.9244i	−0.713258	−	0.700902i
$730$	−24.2263	+	29.2252i	−0.896656	+	1.08167i
$731$	−26.3707	+	8.56837i	−0.975356	+	0.316913i
$732$	8.69569	−	7.70804i	0.321402	−	0.284897i
$733$	−0.506486	−	1.55880i	−0.0187075	−	0.0575757i	0.941267	−	0.337663i	$-0.109637\pi$
$733$	−0.506486	−	1.55880i	−0.0187075	−	0.0575757i	−0.959974	+	0.280088i	$0.909637\pi$
$734$	3.26775	+	7.17523i	0.120615	+	0.264842i
$735$	−18.6723	+	0.143644i	−0.688737	+	0.00529841i
$736$	19.3950	+	7.66823i	0.714909	+	0.282655i
$737$	−3.50317	−	2.54520i	−0.129041	−	0.0937537i
$738$	18.2678	−	18.6886i	0.672445	−	0.687935i
$739$	19.9244	−	14.4759i	0.732932	−	0.532506i	−0.157558	−	0.987510i	$-0.550362\pi$
$739$	19.9244	−	14.4759i	0.732932	−	0.532506i	0.890490	+	0.455004i	$0.150362\pi$
$740$	−6.75610	+	24.9153i	−0.248359	+	0.915904i
$741$	6.39230	+	3.03755i	0.234827	+	0.111587i
$742$	−17.3175	−	3.52784i	−0.635744	−	0.129511i
$743$		−	37.6707i		−	1.38200i	−0.722854	−	0.691001i	$-0.757170\pi$
$743$		−	37.6707i		−	1.38200i	0.722854	−	0.691001i	$-0.242830\pi$
$744$	8.38267	+	14.4958i	0.307323	+	0.531443i
$745$	−4.72103	−	34.2097i	−0.172965	−	1.25335i
$746$	−31.0236	+	28.4134i	−1.13585	+	1.04029i
$747$	−1.75153	−	31.6569i	−0.0640851	−	1.15827i
$748$	5.04746	−	11.8744i	0.184553	−	0.434170i
$749$	−2.15902			−0.0788889
$750$	25.2756	−	10.5424i	0.922935	−	0.384955i
$751$		−	47.7592i		−	1.74276i	−0.490610	−	0.871379i	$-0.663226\pi$
$751$		−	47.7592i		−	1.74276i	0.490610	−	0.871379i	$-0.336774\pi$
$752$	20.4236	−	2.84928i	0.744771	−	0.103903i
$753$	−20.0021	−	2.60370i	−0.728917	−	0.0948842i
$754$	3.69108	−	3.38054i	0.134421	−	0.123112i
$755$	−46.1917	+	6.37458i	−1.68109	+	0.231995i
$756$	−2.47329	+	15.1388i	−0.0899526	+	0.550592i
$757$	28.6553			1.04150			0.520748	−	0.853711i	$-0.325653\pi$
$757$	28.6553			1.04150			0.520748	+	0.853711i	$0.325653\pi$
$758$	5.82325	−	28.5852i	0.211510	−	1.03826i
$759$	5.26060	+	2.49978i	0.190948	+	0.0907362i
$760$	3.38603	−	3.42333i	0.122824	−	0.124177i
$761$	4.01908	+	5.53178i	0.145691	+	0.200527i	0.875626	−	0.482990i	$-0.160449\pi$
$761$	4.01908	+	5.53178i	0.145691	+	0.200527i	−0.729934	+	0.683517i	$0.760449\pi$
$762$	−8.91290	−	12.6964i	−0.322880	−	0.459942i
$763$	−8.54130	+	11.7561i	−0.309216	+	0.425599i
$764$	−48.3734	−	20.5621i	−1.75009	−	0.743912i
$765$	46.5729	−	9.07327i	1.68385	−	0.328045i
$766$	45.9774	−	20.9391i	1.66123	−	0.756560i
$767$	76.1682	−	24.7486i	2.75028	−	0.893619i
$768$	−19.4130	−	19.7772i	−0.700505	−	0.713648i
$769$	−2.75031	−	8.46457i	−0.0991785	−	0.305240i	0.889142	−	0.457632i	$-0.151302\pi$
$769$	−2.75031	−	8.46457i	−0.0991785	−	0.305240i	−0.988320	+	0.152392i	$0.951302\pi$
$770$	−2.71695	+	3.27757i	−0.0979121	+	0.118115i
$771$	−1.96977	+	15.1321i	−0.0709395	+	0.544970i
$772$	3.08472	+	13.3923i	0.111022	+	0.481999i
$773$	−12.2753	−	16.8954i	−0.441510	−	0.607687i	0.529037	−	0.848599i	$-0.322553\pi$
$773$	−12.2753	−	16.8954i	−0.441510	−	0.607687i	−0.970547	+	0.240912i	$0.922553\pi$
$774$	−2.41456	+	16.4555i	−0.0867897	+	0.591479i
$775$	−14.2160	+	9.48615i	−0.510654	+	0.340753i
$776$	30.8577	−	0.784614i	1.10773	−	0.0281660i
$777$	10.1429	−	10.7196i	0.363875	−	0.384564i
$778$	−13.0401	+	11.9430i	−0.467512	+	0.428178i
$779$	4.46005	+	1.44916i	0.159798	+	0.0519215i
$780$	38.3842	+	15.9685i	1.37438	+	0.571766i
$781$	4.43078	−	1.43965i	0.158546	−	0.0515146i
$782$	−18.1684	+	32.0937i	−0.649702	+	1.14767i
$783$	−2.61522	−	2.21393i	−0.0934605	−	0.0791193i
$784$	−17.3420	+	8.43654i	−0.619356	+	0.301305i
$785$	4.31090	+	31.2379i	0.153863	+	1.11493i
$786$	1.69335	+	5.51496i	0.0603998	+	0.196712i
$787$	−20.9524	+	28.8386i	−0.746874	+	1.02798i	0.251320	+	0.967904i	$0.419135\pi$
$787$	−20.9524	+	28.8386i	−0.746874	+	1.02798i	−0.998194	+	0.0600794i	$0.980865\pi$
$788$	−31.4415	−	2.76679i	−1.12006	−	0.0985630i
$789$	15.3660	+	14.5393i	0.547044	+	0.517614i
$790$	−0.891626	+	13.9499i	−0.0317226	+	0.496316i
$791$	3.88828	+	2.82500i	0.138251	+	0.100445i
$792$	−5.03889	−	5.87412i	−0.179049	−	0.208728i
$793$			18.0037i			0.639330i
$794$	5.16933	−	25.3752i	0.183453	−	0.900532i
$795$	31.2625	+	9.89257i	1.10877	+	0.350853i
$796$	−3.42488	−	14.8691i	−0.121392	−	0.527021i
$797$	−49.5085	−	16.0863i	−1.75368	−	0.569805i	−0.757166	−	0.653222i	$-0.773417\pi$
$797$	−49.5085	−	16.0863i	−1.75368	−	0.569805i	−0.996515	+	0.0834170i	$0.973417\pi$
$798$	−2.63135	+	0.807948i	−0.0931488	+	0.0286011i
$799$			36.4648i			1.29003i
$800$	18.8736	−	21.0662i	0.667284	−	0.744804i
$801$	8.90746	+	23.0042i	0.314729	+	0.812815i
$802$	−5.61114	−	49.3593i	−0.198136	−	1.74294i
$803$	−3.38337	+	10.4129i	−0.119397	+	0.367465i
$804$	−6.57220	−	15.0758i	−0.231784	−	0.531683i
$805$	8.77431	−	8.43113i	0.309254	−	0.297158i
$806$	−25.4218	−	5.17883i	−0.895446	−	0.182416i
$807$	48.1710	−	9.00055i	1.69570	−	0.316834i
$808$	−39.9821	+	14.1243i	−1.40656	+	0.496890i
$809$	30.2303	−	41.6085i	1.06284	−	1.46288i	0.185723	−	0.982602i	$-0.440537\pi$
$809$	30.2303	−	41.6085i	1.06284	−	1.46288i	0.877118	−	0.480274i	$-0.159463\pi$
$810$	7.52119	−	27.4487i	0.264268	−	0.964449i
$811$	11.2859	−	8.19967i	0.396301	−	0.287929i	−0.371732	−	0.928340i	$-0.621236\pi$
$811$	11.2859	−	8.19967i	0.396301	−	0.287929i	0.768033	+	0.640411i	$0.221236\pi$
$812$	−0.170646	+	1.93920i	−0.00598850	+	0.0680525i
$813$	17.5973	−	37.0322i	0.617164	−	1.29878i
$814$	0.841004	+	7.39803i	0.0294772	+	0.259301i
$815$	−37.9072	−	20.2768i	−1.32783	−	0.710267i
$816$	39.3797	−	29.1666i	1.37857	−	1.02103i
$817$	−2.83840	+	0.922253i	−0.0993031	+	0.0322655i
$818$	2.15865	+	1.22203i	0.0754755	+	0.0427272i
$819$	−15.0103	−	18.4262i	−0.524501	−	0.643862i
$820$	26.5873	+	7.20947i	0.928468	+	0.251766i
$821$	−9.42779	+	29.0157i	−0.329032	+	1.01266i	0.640556	+	0.767912i	$0.278704\pi$
$821$	−9.42779	+	29.0157i	−0.329032	+	1.01266i	−0.969588	+	0.244745i	$0.921296\pi$
$822$	14.5837	−	19.4017i	0.508663	−	0.676712i
$823$	−5.52630	+	4.01510i	−0.192635	+	0.139957i	−0.679922	−	0.733284i	$-0.737986\pi$
$823$	−5.52630	+	4.01510i	−0.192635	+	0.139957i	0.487287	+	0.873242i	$0.337986\pi$
$824$	0.956290	+	37.6095i	0.0333139	+	1.31019i
$825$	5.65331	−	5.51647i	0.196823	−	0.192059i
$826$	−15.3453	+	27.1067i	−0.533931	+	0.943163i
$827$	−16.5192	+	12.0019i	−0.574428	+	0.417347i	−0.836711	−	0.547644i	$-0.815525\pi$
$827$	−16.5192	+	12.0019i	−0.574428	+	0.417347i	0.262283	+	0.964991i	$0.415525\pi$
$828$	12.4140	+	18.3093i	0.431416	+	0.636293i
$829$	−17.2166	−	5.59402i	−0.597958	−	0.194288i	−0.00562861	−	0.999984i	$-0.501792\pi$
$829$	−17.2166	−	5.59402i	−0.597958	−	0.194288i	−0.592330	+	0.805696i	$0.701792\pi$
$830$	28.2356	−	17.8794i	0.980072	−	0.620602i
$831$	−10.3987	−	19.0857i	−0.360727	−	0.662076i
$832$	42.8813	−	2.18208i	1.48664	−	0.0756501i
$833$	−10.5381	−	32.4330i	−0.365124	−	1.12374i
$834$	−18.2153	−	25.9476i	−0.630744	−	0.898493i
$835$	−1.60175	−	3.30493i	−0.0554308	−	0.114372i
$836$	0.543281	−	1.27809i	0.0187898	−	0.0442038i
$837$	−1.31614	+	17.7120i	−0.0454925	+	0.612217i
$838$	−18.7845	+	8.55487i	−0.648901	+	0.295523i
$839$	13.1432	−	9.54908i	0.453753	−	0.329671i	−0.337323	−	0.941389i	$-0.609521\pi$
$839$	13.1432	−	9.54908i	0.453753	−	0.329671i	0.791076	+	0.611718i	$0.209521\pi$
$840$	−15.2040	+	5.50296i	−0.524588	+	0.189870i
$841$	23.1097	+	16.7902i	0.796886	+	0.578972i
$842$	−0.374625	−	0.0763170i	−0.0129104	−	0.00263006i
$843$	−5.20481	−	27.8562i	−0.179263	−	0.959419i
$844$	24.3130	−	27.9404i	0.836888	−	0.961747i
$845$	−31.8042	+	15.4140i	−1.09410	+	0.530259i
$846$	19.6001	+	9.70726i	0.673866	+	0.333742i
$847$	4.63790	−	14.2740i	0.159360	−	0.490460i
$848$	33.5409	−	4.67927i	1.15180	−	0.160687i
$849$	2.85140	+	15.2607i	0.0978597	+	0.523747i
$850$	32.2828	+	38.2012i	1.10729	+	1.31029i
$851$		−	21.2820i		−	0.729536i
$852$	17.2785	+	3.81332i	0.591951	+	0.130642i
$853$	0.847127	−	2.60719i	0.0290051	−	0.0892684i	−0.935506	−	0.353311i	$-0.885056\pi$
$853$	0.847127	−	2.60719i	0.0290051	−	0.0892684i	0.964511	+	0.264042i	$0.0850558\pi$
$854$	−4.72933	−	5.16378i	−0.161834	−	0.176701i
$855$	5.01286	−	0.976597i	0.171436	−	0.0333989i
$856$	3.90091	−	1.37806i	0.133330	−	0.0471010i
$857$	1.70583			0.0582699			0.0291349	−	0.999575i	$-0.490725\pi$
$857$	1.70583			0.0582699			0.0291349	+	0.999575i	$0.490725\pi$
$858$	11.9892	+	0.194841i	0.409303	+	0.00665178i
$859$	38.1711	+	27.7330i	1.30238	+	0.946236i	0.999976	−	0.00694302i	$-0.00221005\pi$
$859$	38.1711	+	27.7330i	1.30238	+	0.946236i	0.302406	+	0.953179i	$0.402210\pi$
$860$	−16.3856	+	6.23360i	−0.558746	+	0.212564i
$861$	−11.4390	−	10.8236i	−0.389839	−	0.368866i
$862$	7.41495	+	16.2815i	0.252554	+	0.554551i
$863$	−33.9426	+	46.7179i	−1.15542	+	1.59030i	−0.428553	+	0.903517i	$0.640976\pi$
$863$	−33.9426	+	46.7179i	−1.15542	+	1.59030i	−0.726865	+	0.686780i	$0.759024\pi$
$864$	−5.19402	−	28.9313i	−0.176704	−	0.984264i
$865$	0.466753	−	0.448498i	0.0158701	−	0.0152494i
$866$	−24.5996	+	11.2032i	−0.835930	+	0.380700i
$867$	27.3715	+	50.2374i	0.929583	+	1.70615i
$868$	8.65184	−	5.19260i	0.293663	−	0.176248i
$869$	1.24586	+	3.83438i	0.0422631	+	0.130072i
$870$	0.693734	−	3.54459i	0.0235198	−	0.120173i
$871$	24.2336	+	7.87397i	0.821124	+	0.266799i
$872$	7.92873	−	26.6926i	0.268501	−	0.903925i
$873$	27.5100	+	17.7515i	0.931072	+	0.600798i
$874$	−1.95555	+	3.45439i	−0.0661475	+	0.116846i
$875$	−6.59943	−	15.1256i	−0.223102	−	0.511340i
$876$	−31.1184	+	27.5840i	−1.05139	+	0.931977i
$877$	−25.3487	+	18.4169i	−0.855966	+	0.621896i	−0.926784	−	0.375594i	$-0.877439\pi$
$877$	−25.3487	+	18.4169i	−0.855966	+	0.621896i	0.0708185	+	0.997489i	$0.477439\pi$
$878$	−19.4988	−	21.2900i	−0.658053	−	0.718503i
$879$	35.5383	+	4.62608i	1.19868	+	0.156034i
$880$	2.81698	−	7.65607i	0.0949603	−	0.258086i
$881$	43.7549	−	14.2168i	1.47414	−	0.478977i	0.541784	−	0.840518i	$-0.317749\pi$
$881$	43.7549	−	14.2168i	1.47414	−	0.478977i	0.932356	+	0.361541i	$0.117749\pi$
$882$	−20.2383	−	2.96964i	−0.681460	−	0.0999928i
$883$	−29.7733	+	9.67394i	−1.00195	+	0.325554i	−0.763645	−	0.645636i	$-0.776592\pi$
$883$	−29.7733	+	9.67394i	−1.00195	+	0.325554i	−0.238307	+	0.971190i	$0.576592\pi$
$884$	−6.65556	+	75.6329i	−0.223851	+	2.54381i
$885$	33.6091	−	47.0153i	1.12976	−	1.58040i
$886$	−31.3746	+	3.56665i	−1.05405	+	0.119824i
$887$	−33.6980	+	46.3813i	−1.13147	+	1.55733i	−0.346214	+	0.938156i	$0.612533\pi$
$887$	−33.6980	+	46.3813i	−1.13147	+	1.55733i	−0.785253	+	0.619175i	$0.787467\pi$
$888$	−11.4841	+	25.8421i	−0.385380	+	0.867205i
$889$	−7.56246	+	5.49445i	−0.253637	+	0.184278i
$890$	−16.5949	+	20.0191i	−0.556262	+	0.671041i
$891$	−0.905577	−	8.15859i	−0.0303380	−	0.273323i
$892$	−11.6626	+	13.4026i	−0.390494	+	0.448753i
$893$			3.92487i			0.131341i
$894$	0.614712	−	37.8251i	0.0205590	−	1.26506i
$895$	8.49152	−	47.4664i	0.283840	−	1.58663i
$896$	−11.7259	+	11.8902i	−0.391735	+	0.397224i
$897$	−33.9864	−	4.42405i	−1.13477	−	0.147715i
$898$	−2.42832	−	21.3611i	−0.0810341	−	0.712830i
$899$			2.25398i			0.0751745i
$900$	29.1275	−	7.18272i	0.970915	−	0.239424i
$901$			59.8848i			1.99505i
$902$	7.89449	−	0.897441i	0.262858	−	0.0298815i
$903$	9.93826	+	1.29368i	0.330725	+	0.0430509i
$904$	−8.82847	−	2.62240i	−0.293631	−	0.0872197i
$905$	−17.7992	−	36.7256i	−0.591666	−	1.22080i
$906$	−51.0733	−	0.830016i	−1.69680	−	0.0275754i
$907$			43.2814i			1.43714i	0.695457	+	0.718568i	$0.255202\pi$
$907$			43.2814i			1.43714i	−0.695457	+	0.718568i	$0.744798\pi$
$908$	17.6286	−	20.2587i	0.585027	−	0.672309i
$909$	−43.4769	−	11.5140i	−1.44204	−	0.381896i
$910$	9.24540	−	23.2833i	0.306482	−	0.771835i
$911$	6.39354	−	4.64518i	0.211827	−	0.153902i	−0.476813	−	0.879005i	$-0.658208\pi$
$911$	6.39354	−	4.64518i	0.211827	−	0.153902i	0.688640	+	0.725103i	$0.258208\pi$
$912$	4.23862	−	3.13933i	0.140355	−	0.103954i
$913$	5.66580	−	7.79830i	0.187511	−	0.258086i
$914$	3.12299	+	27.4719i	0.103299	+	0.908691i
$915$	7.71700	+	10.4515i	0.255116	+	0.345516i
$916$	−9.85129	−	0.866897i	−0.325496	−	0.0286431i
$917$	3.30625	−	1.07426i	0.109182	−	0.0354754i
$918$	51.9377	−	2.02775i	1.71420	−	0.0669256i
$919$	−6.05656	+	1.96789i	−0.199787	+	0.0649149i	−0.407201	−	0.913338i	$-0.633495\pi$
$919$	−6.05656	+	1.96789i	−0.199787	+	0.0649149i	0.207414	+	0.978253i	$0.433495\pi$
$920$	−10.4720	+	20.8338i	−0.345251	+	0.686870i
$921$	−41.6873	−	5.42649i	−1.37364	−	0.178809i
$922$	1.56232	−	1.43087i	0.0514522	−	0.0471233i
$923$	−22.1789	+	16.1139i	−0.730026	+	0.530395i
$924$	−3.48989	+	3.09351i	−0.114809	+	0.101769i
$925$	−27.0720	−	10.0064i	−0.890122	−	0.329007i
$926$	2.71632	+	1.53773i	0.0892639	+	0.0505329i
$927$	−21.6356	+	33.5293i	−0.710606	+	1.10125i
$928$	−0.929425	−	3.61265i	−0.0305099	−	0.118591i
$929$	11.5433	+	3.75064i	0.378723	+	0.123055i	0.492191	−	0.870487i	$-0.336196\pi$
$929$	11.5433	+	3.75064i	0.378723	+	0.123055i	−0.113468	+	0.993542i	$0.536196\pi$
$930$	−16.9777	+	7.89025i	−0.556721	+	0.258731i
$931$	−1.13426	−	3.49091i	−0.0371740	−	0.114410i
$932$	−3.94427	−	6.57190i	−0.129199	−	0.215270i
$933$	−6.65946	−	12.2227i	−0.218021	−	0.400154i
$934$	18.0525	+	39.6391i	0.590696	+	1.29703i
$935$	12.7201	+	6.80409i	0.415992	+	0.222517i
$936$	38.8815	+	23.7116i	1.27088	+	0.775037i
$937$	−4.09316	+	5.63375i	−0.133718	+	0.184047i	−0.870625	−	0.491947i	$-0.836285\pi$
$937$	−4.09316	+	5.63375i	−0.133718	+	0.184047i	0.736907	+	0.675994i	$0.236285\pi$
$938$	−9.01901	+	4.10745i	−0.294481	+	0.134113i
$939$	−0.408384	−	0.386413i	−0.0133271	−	0.0126101i
$940$	1.13765	+	23.0273i	0.0371060	+	0.751067i
$941$	14.8561	+	10.7936i	0.484295	+	0.351861i	0.802986	−	0.595998i	$-0.203243\pi$
$941$	14.8561	+	10.7936i	0.484295	+	0.351861i	−0.318691	+	0.947859i	$0.603243\pi$
$942$	−0.561311	+	34.5391i	−0.0182885	+	1.12535i
$943$	−22.7101			−0.739543
$944$	10.4242	−	58.7709i	0.339279	−	1.91283i
$945$	−16.6118	−	4.26284i	−0.540383	−	0.138670i
$946$	−3.72887	+	3.41515i	−0.121236	+	0.111036i
$947$	7.19358	−	22.1396i	0.233760	−	0.719439i	−0.763523	−	0.645780i	$-0.776532\pi$
$947$	7.19358	−	22.1396i	0.233760	−	0.719439i	0.997283	−	0.0736593i	$-0.0234677\pi$
$948$	−3.30003	+	14.9527i	−0.107180	+	0.485642i
$949$		−	64.4281i		−	2.09142i
$950$	3.47474	+	4.11177i	0.112735	+	0.133404i
$951$	−4.70727	−	25.1933i	−0.152644	−	0.816950i
$952$	−17.9588	−	23.4412i	−0.582048	−	0.759733i
$953$	7.87752	−	24.2445i	0.255178	−	0.785357i	−0.738617	−	0.674126i	$-0.764521\pi$
$953$	7.87752	−	24.2445i	0.255178	−	0.785357i	0.993795	−	0.111231i	$-0.0354794\pi$
$954$	32.1886	+	15.9419i	1.04214	+	0.516137i
$955$	27.7182	−	51.8187i	0.896941	−	1.67681i
$956$	34.0104	−	39.0846i	1.09998	−	1.26409i
$957$	−0.191334	−	1.02402i	−0.00618494	−	0.0331019i
$958$	−10.5156	+	51.6190i	−0.339743	+	1.66773i
$959$	−11.8326	−	8.59686i	−0.382093	−	0.277607i
$960$	23.9581	−	19.6471i	0.773245	−	0.634108i
$961$	−15.6276	+	11.3541i	−0.504115	+	0.366261i
$962$	−18.1593	−	39.8736i	−0.585478	−	1.28558i
$963$	4.24190	+	1.12338i	0.136693	+	0.0362005i
$964$	−15.8260	−	6.72719i	−0.509722	−	0.216668i
$965$	−15.2209	+	2.10052i	−0.489977	+	0.0676180i
$966$	10.9100	−	7.65887i	0.351025	−	0.246420i
$967$	−15.6559	−	48.1841i	−0.503461	−	1.54949i	−0.803342	−	0.595518i	$-0.796947\pi$
$967$	−15.6559	−	48.1841i	−0.503461	−	1.54949i	0.299881	−	0.953977i	$-0.403053\pi$
$968$	0.731034	+	28.7505i	0.0234963	+	0.924075i
$969$	4.46242	+	8.19029i	0.143354	+	0.263110i
$970$	−2.20133	+	34.4409i	−0.0706804	+	1.10583i
$971$	28.7487	+	9.34102i	0.922590	+	0.299768i	0.731529	−	0.681811i	$-0.238807\pi$
$971$	28.7487	+	9.34102i	0.922590	+	0.299768i	0.191061	+	0.981578i	$0.438807\pi$
$972$	12.7364	−	28.4567i	0.408519	−	0.912750i
$973$	−15.4554	+	11.2290i	−0.495477	+	0.359985i
$974$	25.2359	+	14.2862i	0.808610	+	0.457760i
$975$	−21.6074	+	41.1527i	−0.691991	+	1.31794i
$976$	11.8409	+	6.31127i	0.379017	+	0.202019i
$977$	−29.0278	+	21.0900i	−0.928683	+	0.674727i	−0.945670	−	0.325128i	$-0.894593\pi$
$977$	−29.0278	+	21.0900i	−0.928683	+	0.674727i	0.0169873	+	0.999856i	$0.494593\pi$
$978$	−37.6440	−	28.2958i	−1.20372	−	0.904801i
$979$	−2.31759	+	7.13281i	−0.0740705	+	0.227965i
$980$	−7.66662	−	20.1525i	−0.244901	−	0.643747i
$981$	22.8983	−	18.6533i	0.731086	−	0.595555i
$982$	18.1424	−	32.0477i	0.578948	−	1.02268i
$983$	12.0800	−	3.92504i	0.385293	−	0.125189i	−0.109965	−	0.993935i	$-0.535074\pi$
$983$	12.0800	−	3.92504i	0.385293	−	0.125189i	0.495257	+	0.868746i	$0.335074\pi$
$984$	27.5763	+	12.2547i	0.879101	+	0.390666i
$985$	6.21429	−	34.7370i	0.198004	−	1.10681i
$986$	6.55407	−	0.745064i	0.208724	−	0.0237277i
$987$	5.65682	−	11.9044i	0.180059	−	0.378920i
$988$	−0.716368	+	8.14071i	−0.0227907	+	0.258990i
$989$	11.6926	−	8.49516i	0.371803	−	0.270130i
$990$	7.04346	−	5.02585i	0.223856	−	0.159732i
$991$	33.6087	−	46.2584i	1.06762	−	1.46945i	0.195149	−	0.980774i	$-0.437481\pi$
$991$	33.6087	−	46.2584i	1.06762	−	1.46945i	0.872467	−	0.488673i	$-0.162519\pi$
$992$	−12.3178	+	14.9042i	−0.391090	+	0.473210i
$993$	−55.7972	+	10.4255i	−1.77067	+	0.330842i
$994$	2.12839	−	10.4478i	0.0675084	−	0.331385i
$995$	16.8993	−	2.33214i	0.535743	−	0.0739339i
$996$	33.5598	−	14.6302i	1.06338	−	0.463575i
$997$	−11.7946	+	36.3000i	−0.373538	+	1.14963i	0.570921	+	0.821005i	$0.306586\pi$
$997$	−11.7946	+	36.3000i	−0.373538	+	1.14963i	−0.944460	+	0.328628i	$0.893414\pi$
$998$	13.5381	−	1.53901i	0.428542	−	0.0487165i
$999$	−25.5057	+	15.7836i	−0.806965	+	0.499371i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.539.5	yes	464
3.2	odd	2	inner	600.2.bk.a.539.112	yes	464
8.3	odd	2	inner	600.2.bk.a.539.42	yes	464
24.11	even	2	inner	600.2.bk.a.539.75	yes	464
25.9	even	10	inner	600.2.bk.a.59.75	yes	464
75.59	odd	10	inner	600.2.bk.a.59.42	yes	464
200.59	odd	10	inner	600.2.bk.a.59.112	yes	464
600.59	even	10	inner	600.2.bk.a.59.5	✓	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.5	✓	464	600.59	even	10	inner
600.2.bk.a.59.42	yes	464	75.59	odd	10	inner
600.2.bk.a.59.75	yes	464	25.9	even	10	inner
600.2.bk.a.59.112	yes	464	200.59	odd	10	inner
600.2.bk.a.539.5	yes	464	1.1	even	1	trivial
600.2.bk.a.539.42	yes	464	8.3	odd	2	inner
600.2.bk.a.539.75	yes	464	24.11	even	2	inner
600.2.bk.a.539.112	yes	464	3.2	odd	2	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:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40516 + 0.159738i) q^{2} +(0.223577 - 1.71756i) q^{3} +(1.94897 - 0.448917i) q^{4} +(0.305686 + 2.21507i) q^{5} +(-0.0398025 + 2.44917i) q^{6} +1.47604 q^{7} +(-2.66691 + 0.942126i) q^{8} +(-2.90003 - 0.768015i) q^{9} +O(q^{10})\)	\(q+(-1.40516 + 0.159738i) q^{2} +(0.223577 - 1.71756i) q^{3} +(1.94897 - 0.448917i) q^{4} +(0.305686 + 2.21507i) q^{5} +(-0.0398025 + 2.44917i) q^{6} +1.47604 q^{7} +(-2.66691 + 0.942126i) q^{8} +(-2.90003 - 0.768015i) q^{9} +(-0.783371 - 3.06371i) q^{10} +(-0.536105 - 0.737886i) q^{11} +(-0.335296 - 3.44784i) q^{12} +(4.34207 + 3.15470i) q^{13} +(-2.07408 + 0.235780i) q^{14} +(3.87287 - 0.0297937i) q^{15} +(3.59695 - 1.74985i) q^{16} +(2.18574 + 6.72702i) q^{17} +(4.19769 + 0.615941i) q^{18} +(0.235261 + 0.724060i) q^{19} +(1.59016 + 4.17988i) q^{20} +(0.330009 - 2.53519i) q^{21} +(0.871184 + 0.951213i) q^{22} +(-2.16707 - 2.98271i) q^{23} +(1.02190 + 4.79121i) q^{24} +(-4.81311 + 1.35423i) q^{25} +(-6.60524 - 3.73927i) q^{26} +(-1.96749 + 4.80926i) q^{27} +(2.87676 - 0.662620i) q^{28} +(-0.203775 + 0.627154i) q^{29} +(-5.43725 + 0.660510i) q^{30} +(3.25079 - 1.05624i) q^{31} +(-4.77478 + 3.03339i) q^{32} +(-1.38722 + 0.755819i) q^{33} +(-4.14588 - 9.10341i) q^{34} +(0.451205 + 3.26954i) q^{35} +(-5.99683 - 0.194966i) q^{36} +(4.66999 + 3.39294i) q^{37} +(-0.446240 - 0.979842i) q^{38} +(6.38917 - 6.75245i) q^{39} +(-2.90211 - 5.61941i) q^{40} +(3.62063 - 4.98337i) q^{41} +(-0.0587502 + 3.61507i) q^{42} +3.92012i q^{43} +(-1.37610 - 1.19745i) q^{44} +(0.814713 - 6.65855i) q^{45} +(3.52153 + 3.84503i) q^{46} +(4.90302 + 1.59309i) q^{47} +(-2.20127 - 6.56920i) q^{48} -4.82130 q^{49} +(6.54689 - 2.67176i) q^{50} +(12.0427 - 2.25013i) q^{51} +(9.87875 + 4.19918i) q^{52} +(8.05205 + 2.61627i) q^{53} +(1.99642 - 7.07208i) q^{54} +(1.47059 - 1.41307i) q^{55} +(-3.93647 + 1.39062i) q^{56} +(1.29622 - 0.242192i) q^{57} +(0.186156 - 0.913805i) q^{58} +(8.77096 - 12.0722i) q^{59} +(7.53472 - 1.79666i) q^{60} +(1.97170 + 2.71382i) q^{61} +(-4.39916 + 2.00347i) q^{62} +(-4.28056 - 1.13362i) q^{63} +(6.22480 - 5.02512i) q^{64} +(-5.66058 + 10.5824i) q^{65} +(1.82854 - 1.28364i) q^{66} +(4.51522 - 1.46708i) q^{67} +(7.27981 + 12.1295i) q^{68} +(-5.60749 + 3.05520i) q^{69} +(-1.15629 - 4.52217i) q^{70} +(-1.57843 + 4.85790i) q^{71} +(8.45767 - 0.683964i) q^{72} +(-7.05593 - 9.71166i) q^{73} +(-7.10408 - 4.02166i) q^{74} +(1.24988 + 8.56959i) q^{75} +(0.783559 + 1.30556i) q^{76} +(-0.791314 - 1.08915i) q^{77} +(-7.89921 + 10.5089i) q^{78} +(-4.20401 - 1.36596i) q^{79} +(4.97558 + 7.43260i) q^{80} +(7.82031 + 4.45453i) q^{81} +(-4.29154 + 7.58080i) q^{82} +(3.26583 + 10.0512i) q^{83} +(-0.494912 - 5.08915i) q^{84} +(-14.2327 + 6.89793i) q^{85} +(-0.626193 - 5.50841i) q^{86} +(1.03162 + 0.490213i) q^{87} +(2.12492 + 1.46280i) q^{88} +(-4.83327 - 6.65243i) q^{89} +(-0.0811801 + 9.48649i) q^{90} +(6.40908 + 4.65647i) q^{91} +(-5.56253 - 4.84037i) q^{92} +(-1.08736 - 5.81958i) q^{93} +(-7.14402 - 1.45535i) q^{94} +(-1.53193 + 0.742456i) q^{95} +(4.14250 + 8.87917i) q^{96} +(-10.3792 - 3.37242i) q^{97} +(6.77471 - 0.770146i) q^{98} +(0.988013 + 2.55163i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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