LMFDB - Embedded newform 61.2.i.a.57.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [61,2,Mod(12,61)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("61.12"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(61, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([4])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 61 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	61.i (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.487087452330$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			57.1
Character	$\chi$	$=$	61.57
Dual form			61.2.i.a.15.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.261670 + 2.48962i) q^{2} +(1.09846 + 0.798080i) q^{3} +(-4.17345 - 0.887094i) q^{4} +(2.01896 - 2.24228i) q^{5} +(-2.27435 + 2.52592i) q^{6} +(-2.42543 - 1.07987i) q^{7} +(1.75345 - 5.39656i) q^{8} +(-0.357362 - 1.09985i) q^{9} +(5.05413 + 5.61318i) q^{10} -2.81637 q^{11} +(-3.87641 - 4.30519i) q^{12} +(3.25426 + 5.63654i) q^{13} +(3.32313 - 5.75582i) q^{14} +(4.00727 - 0.851773i) q^{15} +(5.18094 + 2.30670i) q^{16} +(0.988198 + 0.210048i) q^{17} +(2.83171 - 0.601899i) q^{18} +(-2.84524 + 1.26678i) q^{19} +(-10.4151 + 7.56704i) q^{20} +(-1.80242 - 3.12188i) q^{21} +(0.736958 - 7.01169i) q^{22} +(-0.957874 - 2.94803i) q^{23} +(6.23298 - 4.52853i) q^{24} +(-0.428988 - 4.08155i) q^{25} +(-14.8844 + 6.62696i) q^{26} +(1.74394 - 5.36731i) q^{27} +(9.16444 + 6.65836i) q^{28} +(-1.25301 + 2.17028i) q^{29} +(1.07201 + 10.1995i) q^{30} +(0.444151 + 4.22582i) q^{31} +(-1.42423 + 2.46684i) q^{32} +(-3.09368 - 2.24769i) q^{33} +(-0.781521 + 2.40527i) q^{34} +(-7.31821 + 3.25828i) q^{35} +(0.515764 + 4.90717i) q^{36} +(-5.69250 + 4.13585i) q^{37} +(-2.40930 - 7.41505i) q^{38} +(-0.923728 + 8.78869i) q^{39} +(-8.56046 - 14.8272i) q^{40} +(8.51930 - 6.18964i) q^{41} +(8.24394 - 3.67044i) q^{42} +(6.04008 - 1.28386i) q^{43} +(11.7540 + 2.49838i) q^{44} +(-3.18766 - 1.41924i) q^{45} +(7.59013 - 1.61333i) q^{46} +(0.0929380 - 0.160973i) q^{47} +(3.85013 + 6.66863i) q^{48} +(0.0326575 + 0.0362698i) q^{49} +10.2738 q^{50} +(0.917864 + 1.01939i) q^{51} +(-8.58134 - 26.4106i) q^{52} +(1.96750 - 6.05535i) q^{53} +(12.9062 + 5.74622i) q^{54} +(-5.68613 + 6.31509i) q^{55} +(-10.0804 + 11.1955i) q^{56} +(-4.13639 - 0.879216i) q^{57} +(-5.07529 - 3.68741i) q^{58} +(-0.425310 + 4.04655i) q^{59} -17.4798 q^{60} +(-1.85551 + 7.58664i) q^{61} -10.6369 q^{62} +(-0.320936 + 3.05350i) q^{63} +(3.40743 + 2.47565i) q^{64} +(19.2089 + 4.08298i) q^{65} +(6.40541 - 7.11393i) q^{66} +(-0.557122 + 0.618747i) q^{67} +(-3.93786 - 1.75325i) q^{68} +(1.30058 - 4.00276i) q^{69} +(-6.19692 - 19.0722i) q^{70} +(4.21558 + 4.68187i) q^{71} -6.56200 q^{72} +(-0.628481 - 0.697999i) q^{73} +(-8.80714 - 15.2544i) q^{74} +(2.78618 - 4.82580i) q^{75} +(12.9982 - 2.76286i) q^{76} +(6.83089 + 3.04131i) q^{77} +(-21.6388 - 4.59947i) q^{78} +(-11.6299 + 2.47200i) q^{79} +(15.6324 - 6.95998i) q^{80} +(3.39244 - 2.46475i) q^{81} +(13.1806 + 22.8295i) q^{82} +(-0.517961 + 4.92807i) q^{83} +(4.75290 + 14.6279i) q^{84} +(2.46612 - 1.79174i) q^{85} +(1.61581 + 15.3735i) q^{86} +(-3.10844 + 1.38397i) q^{87} +(-4.93835 + 15.1987i) q^{88} +(-7.02573 - 5.10449i) q^{89} +(4.36749 - 7.56471i) q^{90} +(-1.80624 - 17.1852i) q^{91} +(1.38246 + 13.1532i) q^{92} +(-2.88466 + 4.99637i) q^{93} +(0.376444 + 0.273502i) q^{94} +(-2.90394 + 8.93742i) q^{95} +(-3.53320 + 1.57308i) q^{96} +(-0.337747 - 3.21345i) q^{97} +(-0.0988435 + 0.0718140i) q^{98} +(1.00646 + 3.09757i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 10 q^{2} - 4 q^{3} - 10 q^{4} + 2 q^{5} + q^{6} + q^{7} - 4 q^{8} - 2 q^{9} + 15 q^{10} - 18 q^{11} - 53 q^{12} + 11 q^{14} + 2 q^{15} + 6 q^{16} - 24 q^{17} - 15 q^{18} + 9 q^{19} - 4 q^{20} - 3 q^{21}+ \cdots - 31 q^{99}+O(q^{100}) $ 32 * q - 10 * q^2 - 4 * q^3 - 10 * q^4 + 2 * q^5 + q^6 + q^7 - 4 * q^8 - 2 * q^9 + 15 * q^10 - 18 * q^11 - 53 * q^12 + 11 * q^14 + 2 * q^15 + 6 * q^16 - 24 * q^17 - 15 * q^18 + 9 * q^19 - 4 * q^20 - 3 * q^21 + q^22 - 2 * q^23 + 15 * q^24 + 28 * q^25 + 16 * q^26 + 35 * q^27 + 4 * q^28 - 4 * q^29 + 54 * q^30 - 11 * q^31 + 34 * q^32 - 35 * q^33 + 18 * q^34 - 58 * q^35 + 65 * q^36 - 14 * q^37 - 24 * q^38 + 17 * q^39 - 60 * q^40 + 11 * q^41 + 73 * q^42 + 40 * q^43 + 29 * q^44 + 12 * q^45 - 89 * q^46 + 40 * q^47 + 43 * q^48 + q^49 - 56 * q^50 - 9 * q^51 - 67 * q^52 + 17 * q^53 - q^54 - 60 * q^55 - 102 * q^56 - 38 * q^57 + 73 * q^58 - 11 * q^59 - 20 * q^60 - 55 * q^61 - 74 * q^62 - 58 * q^63 + 6 * q^64 + 59 * q^65 + 34 * q^66 - 13 * q^67 - 3 * q^68 - 32 * q^69 + 44 * q^70 + 63 * q^71 + 18 * q^72 - 46 * q^73 - 10 * q^74 + q^75 + 55 * q^76 - 31 * q^77 - 103 * q^78 - 49 * q^79 + 74 * q^80 + 48 * q^81 + 39 * q^82 + 39 * q^83 + 21 * q^85 + 74 * q^86 + 17 * q^87 + 70 * q^88 + 32 * q^89 - 60 * q^90 + 70 * q^91 + 77 * q^92 + 67 * q^93 - 64 * q^94 + 47 * q^95 - 16 * q^96 + 37 * q^97 + 127 * q^98 - 31 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/61\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{8}{15}\right)$

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 $

$2$	−0.261670	+	2.48962i	−0.185028	+	1.76043i	0.370408	+	0.928869i	$0.379218\pi$
$2$	−0.261670	+	2.48962i	−0.185028	+	1.76043i	−0.555436	+	0.831559i	$0.687449\pi$
$3$	1.09846	+	0.798080i	0.634198	+	0.460772i	0.857852	−	0.513897i	$-0.171799\pi$
$3$	1.09846	+	0.798080i	0.634198	+	0.460772i	−0.223654	+	0.974669i	$0.571799\pi$
$4$	−4.17345	−	0.887094i	−2.08672	−	0.443547i
$5$	2.01896	−	2.24228i	0.902907	−	1.00278i	−0.0970654	−	0.995278i	$-0.530946\pi$
$5$	2.01896	−	2.24228i	0.902907	−	1.00278i	0.999972	−	0.00750126i	$-0.00238775\pi$
$6$	−2.27435	+	2.52592i	−0.928500	+	1.03120i
$7$	−2.42543	−	1.07987i	−0.916725	−	0.408152i	−0.106528	−	0.994310i	$-0.533973\pi$
$7$	−2.42543	−	1.07987i	−0.916725	−	0.408152i	−0.810197	+	0.586158i	$0.800640\pi$
$8$	1.75345	−	5.39656i	0.619937	−	1.90797i
$9$	−0.357362	−	1.09985i	−0.119121	−	0.366615i
$10$	5.05413	+	5.61318i	1.59826	+	1.77504i
$11$	−2.81637			−0.849167			−0.424583	−	0.905389i	$-0.639579\pi$
$11$	−2.81637			−0.849167			−0.424583	+	0.905389i	$0.639579\pi$
$12$	−3.87641	−	4.30519i	−1.11902	−	1.24280i
$13$	3.25426	+	5.63654i	0.902569	+	1.56329i	0.824148	+	0.566374i	$0.191654\pi$
$13$	3.25426	+	5.63654i	0.902569	+	1.56329i	0.0784206	+	0.996920i	$0.475012\pi$
$14$	3.32313	−	5.75582i	0.888143	−	1.53831i
$15$	4.00727	−	0.851773i	1.03467	−	0.219927i
$16$	5.18094	+	2.30670i	1.29523	+	0.576675i
$17$	0.988198	+	0.210048i	0.239673	+	0.0509441i	0.326182	−	0.945307i	$-0.394238\pi$
$17$	0.988198	+	0.210048i	0.239673	+	0.0509441i	−0.0865089	+	0.996251i	$0.527571\pi$
$18$	2.83171	−	0.601899i	0.667441	−	0.141869i
$19$	−2.84524	+	1.26678i	−0.652743	+	0.290620i	−0.706266	−	0.707947i	$-0.749622\pi$
$19$	−2.84524	+	1.26678i	−0.652743	+	0.290620i	0.0535227	+	0.998567i	$0.482955\pi$
$20$	−10.4151	+	7.56704i	−2.32890	+	1.69204i
$21$	−1.80242	−	3.12188i	−0.393320	−	0.681250i
$22$	0.736958	−	7.01169i	0.157120	−	1.49490i
$23$	−0.957874	−	2.94803i	−0.199730	−	0.614707i	−0.999889	−	0.0149182i	$-0.995251\pi$
$23$	−0.957874	−	2.94803i	−0.199730	−	0.614707i	0.800158	−	0.599789i	$-0.204749\pi$
$24$	6.23298	−	4.52853i	1.27230	−	0.924382i
$25$	−0.428988	−	4.08155i	−0.0857976	−	0.816310i
$26$	−14.8844	+	6.62696i	−2.91907	+	1.29965i
$27$	1.74394	−	5.36731i	0.335622	−	1.03294i
$28$	9.16444	+	6.65836i	1.73192	+	1.25831i
$29$	−1.25301	+	2.17028i	−0.232678	+	0.403010i	−0.958595	−	0.284772i	$-0.908082\pi$
$29$	−1.25301	+	2.17028i	−0.232678	+	0.403010i	0.725917	+	0.687782i	$0.241415\pi$
$30$	1.07201	+	10.1995i	0.195721	+	1.86216i
$31$	0.444151	+	4.22582i	0.0797720	+	0.758979i	0.959158	+	0.282870i	$0.0912866\pi$
$31$	0.444151	+	4.22582i	0.0797720	+	0.758979i	−0.879386	+	0.476109i	$0.842047\pi$
$32$	−1.42423	+	2.46684i	−0.251771	+	0.436080i
$33$	−3.09368	−	2.24769i	−0.538540	−	0.391272i
$34$	−0.781521	+	2.40527i	−0.134030	+	0.412501i
$35$	−7.31821	+	3.25828i	−1.23700	+	0.550749i
$36$	0.515764	+	4.90717i	0.0859606	+	0.817861i
$37$	−5.69250	+	4.13585i	−0.935842	+	0.679929i	−0.947416	−	0.320004i	$-0.896316\pi$
$37$	−5.69250	+	4.13585i	−0.935842	+	0.679929i	0.0115743	+	0.999933i	$0.496316\pi$
$38$	−2.40930	−	7.41505i	−0.390840	−	1.20288i
$39$	−0.923728	+	8.78869i	−0.147915	+	1.40732i
$40$	−8.56046	−	14.8272i	−1.35353	−	2.34438i
$41$	8.51930	−	6.18964i	1.33049	−	0.966659i	0.330755	−	0.943717i	$-0.392697\pi$
$41$	8.51930	−	6.18964i	1.33049	−	0.966659i	0.999737	−	0.0229423i	$-0.00730339\pi$
$42$	8.24394	−	3.67044i	1.27207	−	0.566361i
$43$	6.04008	−	1.28386i	0.921103	−	0.195787i	0.277128	−	0.960833i	$-0.410617\pi$
$43$	6.04008	−	1.28386i	0.921103	−	0.195787i	0.643975	+	0.765046i	$0.277284\pi$
$44$	11.7540	+	2.49838i	1.77198	+	0.376645i
$45$	−3.18766	−	1.41924i	−0.475189	−	0.211568i
$46$	7.59013	−	1.61333i	1.11910	−	0.237873i
$47$	0.0929380	−	0.160973i	0.0135564	−	0.0234804i	−0.859168	−	0.511694i	$-0.829018\pi$
$47$	0.0929380	−	0.160973i	0.0135564	−	0.0234804i	0.872724	+	0.488214i	$0.162351\pi$
$48$	3.85013	+	6.66863i	0.555719	+	0.962534i
$49$	0.0326575	+	0.0362698i	0.00466535	+	0.00518140i
$50$	10.2738			1.45293
$51$	0.917864	+	1.01939i	0.128527	+	0.142743i
$52$	−8.58134	−	26.4106i	−1.19002	−	3.66250i
$53$	1.96750	−	6.05535i	0.270257	−	0.831766i	−0.720178	−	0.693789i	$-0.755940\pi$
$53$	1.96750	−	6.05535i	0.270257	−	0.831766i	0.990435	−	0.137977i	$-0.0440601\pi$
$54$	12.9062	+	5.74622i	1.75631	+	0.781962i
$55$	−5.68613	+	6.31509i	−0.766718	+	0.851527i
$56$	−10.0804	+	11.1955i	−1.34705	+	1.49606i
$57$	−4.13639	−	0.879216i	−0.547878	−	0.116455i
$58$	−5.07529	−	3.68741i	−0.666418	−	0.484181i
$59$	−0.425310	+	4.04655i	−0.0553706	+	0.526816i	0.931319	+	0.364204i	$0.118659\pi$
$59$	−0.425310	+	4.04655i	−0.0553706	+	0.526816i	−0.986690	+	0.162613i	$0.948008\pi$
$60$	−17.4798			−2.25663
$61$	−1.85551	+	7.58664i	−0.237574	+	0.971369i
$61$	−1.85551	+	7.58664i	−0.237574	+	0.971369i
$62$	−10.6369			−1.35089
$63$	−0.320936	+	3.05350i	−0.0404341	+	0.384705i
$64$	3.40743	+	2.47565i	0.425929	+	0.309456i
$65$	19.2089	+	4.08298i	2.38257	+	0.506432i
$66$	6.40541	−	7.11393i	0.788452	−	0.875664i
$67$	−0.557122	+	0.618747i	−0.0680633	+	0.0755920i	−0.776215	−	0.630469i	$-0.782863\pi$
$67$	−0.557122	+	0.618747i	−0.0680633	+	0.0755920i	0.708151	+	0.706061i	$0.249529\pi$
$68$	−3.93786	−	1.75325i	−0.477536	−	0.212613i
$69$	1.30058	−	4.00276i	0.156571	−	0.481876i
$70$	−6.19692	−	19.0722i	−0.740674	−	2.27956i
$71$	4.21558	+	4.68187i	0.500297	+	0.555636i	0.939410	−	0.342796i	$-0.111374\pi$
$71$	4.21558	+	4.68187i	0.500297	+	0.555636i	−0.439113	+	0.898432i	$0.644707\pi$
$72$	−6.56200			−0.773339
$73$	−0.628481	−	0.697999i	−0.0735582	−	0.0816946i	0.705242	−	0.708966i	$-0.250838\pi$
$73$	−0.628481	−	0.697999i	−0.0735582	−	0.0816946i	−0.778800	+	0.627272i	$0.784172\pi$
$74$	−8.80714	−	15.2544i	−1.02381	−	1.77329i
$75$	2.78618	−	4.82580i	0.321720	−	0.557235i
$76$	12.9982	−	2.76286i	1.49100	−	0.316922i
$77$	6.83089	+	3.04131i	0.778452	+	0.346589i
$78$	−21.6388	−	4.59947i	−2.45011	−	0.520787i
$79$	−11.6299	+	2.47200i	−1.30846	+	0.278122i	−0.808793	−	0.588094i	$-0.799879\pi$
$79$	−11.6299	+	2.47200i	−1.30846	+	0.278122i	−0.499670	+	0.866216i	$0.666545\pi$
$80$	15.6324	−	6.95998i	1.74775	−	0.778150i
$81$	3.39244	−	2.46475i	0.376938	−	0.273862i
$82$	13.1806	+	22.8295i	1.45555	+	2.52109i
$83$	−0.517961	+	4.92807i	−0.0568536	+	0.540926i	0.928612	+	0.371052i	$0.121003\pi$
$83$	−0.517961	+	4.92807i	−0.0568536	+	0.540926i	−0.985466	+	0.169874i	$0.945664\pi$
$84$	4.75290	+	14.6279i	0.518584	+	1.59604i
$85$	2.46612	−	1.79174i	0.267488	−	0.194341i
$86$	1.61581	+	15.3735i	0.174238	+	1.65776i
$87$	−3.10844	+	1.38397i	−0.333260	+	0.148377i
$88$	−4.93835	+	15.1987i	−0.526430	+	1.62019i
$89$	−7.02573	−	5.10449i	−0.744726	−	0.541075i	0.149462	−	0.988768i	$-0.452246\pi$
$89$	−7.02573	−	5.10449i	−0.744726	−	0.541075i	−0.894188	+	0.447693i	$0.852246\pi$
$90$	4.36749	−	7.56471i	0.460373	−	0.797390i
$91$	−1.80624	−	17.1852i	−0.189345	−	1.80150i
$92$	1.38246	+	13.1532i	0.144131	+	1.37131i
$93$	−2.88466	+	4.99637i	−0.299125	+	0.518100i
$94$	0.376444	+	0.273502i	0.0388272	+	0.0282096i
$95$	−2.90394	+	8.93742i	−0.297938	+	0.916960i
$96$	−3.53320	+	1.57308i	−0.360606	+	0.160552i
$97$	−0.337747	−	3.21345i	−0.0342930	−	0.326276i	−0.998197	−	0.0600257i	$-0.980882\pi$
$97$	−0.337747	−	3.21345i	−0.0342930	−	0.326276i	0.963904	−	0.266251i	$-0.0857849\pi$
$98$	−0.0988435	+	0.0718140i	−0.00998471	+	0.00725431i
$99$	1.00646	+	3.09757i	0.101153	+	0.311318i
$100$	−1.83036	+	17.4147i	−0.183036	+	1.74147i
$101$	−2.10851	−	3.65204i	−0.209804	−	0.363392i	0.741848	−	0.670568i	$-0.233949\pi$
$101$	−2.10851	−	3.65204i	−0.209804	−	0.363392i	−0.951653	+	0.307176i	$0.900616\pi$
$102$	−2.77807	+	2.01839i	−0.275070	+	0.199850i
$103$	7.28194	−	3.24213i	0.717511	−	0.319456i	−0.0153057	−	0.999883i	$-0.504872\pi$
$103$	7.28194	−	3.24213i	0.717511	−	0.319456i	0.732816	+	0.680427i	$0.238205\pi$
$104$	36.1241	−	7.67841i	3.54226	−	0.752930i
$105$	−10.6391	−	2.26142i	−1.03827	−	0.220692i
$106$	14.5607	+	6.48284i	1.41426	+	0.629669i
$107$	8.22327	−	1.74791i	0.794974	−	0.168977i	0.207516	−	0.978232i	$-0.433462\pi$
$107$	8.22327	−	1.74791i	0.794974	−	0.168977i	0.587458	+	0.809255i	$0.300129\pi$
$108$	−12.0396	+	20.8531i	−1.15851	+	2.00659i
$109$	−2.65351	−	4.59602i	−0.254160	−	0.440219i	0.710507	−	0.703690i	$-0.248466\pi$
$109$	−2.65351	−	4.59602i	−0.254160	−	0.440219i	−0.964667	+	0.263472i	$0.915132\pi$
$110$	−14.2343	−	15.8088i	−1.35719	−	1.50731i
$111$	−9.55374			−0.906801
$112$	−10.0750	−	11.1895i	−0.952002	−	1.05731i
$113$	−0.107514	−	0.330893i	−0.0101140	−	0.0311278i	0.945872	−	0.324540i	$-0.105209\pi$
$113$	−0.107514	−	0.330893i	−0.0101140	−	0.0311278i	−0.955986	+	0.293412i	$0.905209\pi$
$114$	3.27128	−	10.0680i	0.306384	−	0.942952i
$115$	−8.54423	−	3.80414i	−0.796753	−	0.354737i
$116$	7.15461	−	7.94600i	0.664289	−	0.737767i
$117$	5.03638	−	5.59347i	0.465613	−	0.517116i
$118$	−9.96309	−	2.11772i	−0.917177	−	0.194952i
$119$	−2.16998	−	1.57658i	−0.198921	−	0.144525i
$120$	2.42991	−	23.1190i	0.221819	−	2.11047i
$121$	−3.06808			−0.278916
$122$	−18.4023	−	6.60472i	−1.66607	−	0.597963i
$123$	14.2980			1.28920
$124$	1.89505	−	18.0302i	0.170181	−	1.61916i
$125$	2.18709	+	1.58902i	0.195619	+	0.142126i
$126$	−7.51808	−	1.59802i	−0.669764	−	0.142363i
$127$	−3.66360	+	4.06884i	−0.325092	+	0.361051i	−0.883431	−	0.468562i	$-0.844772\pi$
$127$	−3.66360	+	4.06884i	−0.325092	+	0.361051i	0.558339	+	0.829613i	$0.311439\pi$
$128$	−10.8670	+	12.0691i	−0.960519	+	1.06676i
$129$	7.65942	+	3.41020i	0.674375	+	0.300251i
$130$	−15.1915	+	46.7546i	−1.33238	+	4.10065i
$131$	−4.02896	−	12.3999i	−0.352012	−	1.08338i	−0.957722	−	0.287696i	$-0.907111\pi$
$131$	−4.02896	−	12.3999i	−0.352012	−	1.08338i	0.605709	−	0.795686i	$-0.292889\pi$
$132$	10.9174	+	12.1250i	0.950237	+	1.05534i
$133$	8.26888			0.717003
$134$	−1.39466	−	1.54893i	−0.120481	−	0.133807i
$135$	−8.51406	−	14.7468i	−0.732774	−	1.26920i
$136$	2.86629	−	4.96456i	0.245782	−	0.425707i
$137$	−10.5832	+	2.24953i	−0.904185	+	0.192190i	−0.636464	−	0.771306i	$-0.719604\pi$
$137$	−10.5832	+	2.24953i	−0.904185	+	0.192190i	−0.267720	+	0.963497i	$0.586270\pi$
$138$	9.62505	+	4.28535i	0.819338	+	0.364793i
$139$	18.1490	+	3.85769i	1.53938	+	0.327205i	0.897992	−	0.440011i	$-0.145026\pi$
$139$	18.1490	+	3.85769i	1.53938	+	0.327205i	0.641388	+	0.767217i	$0.278359\pi$
$140$	33.4326	−	7.10631i	2.82557	−	0.600593i
$141$	0.230559	−	0.102651i	0.0194165	−	0.00864480i
$142$	−12.7592	+	9.27009i	−1.07073	+	0.777928i
$143$	−9.16518	−	15.8746i	−0.766431	−	1.32750i
$144$	0.685549	−	6.52256i	0.0571291	−	0.543547i
$145$	2.33660	+	7.19130i	0.194044	+	0.597205i
$146$	1.90221	−	1.38204i	0.157428	−	0.114378i
$147$	0.00692682	+	0.0659043i	0.000571315	+	0.00543570i
$148$	27.4263	−	12.2110i	2.25442	−	1.00373i
$149$	−1.06602	+	3.28088i	−0.0873321	+	0.268780i	−0.985180	−	0.171526i	$-0.945130\pi$
$149$	−1.06602	+	3.28088i	−0.0873321	+	0.268780i	0.897848	+	0.440307i	$0.145130\pi$
$150$	11.2854	+	8.19929i	0.921445	+	0.669469i
$151$	0.233510	−	0.404452i	0.0190028	−	0.0329138i	−0.856368	−	0.516367i	$-0.827284\pi$
$151$	0.233510	−	0.404452i	0.0190028	−	0.0329138i	0.875370	+	0.483453i	$0.160618\pi$
$152$	1.84729	+	17.5757i	0.149835	+	1.42558i
$153$	−0.122124	−	1.16193i	−0.00987311	−	0.0939363i
$154$	−9.35914	+	16.2105i	−0.754181	+	1.30628i
$155$	10.3722	+	7.53585i	0.833115	+	0.605294i
$156$	11.6515	−	35.8597i	0.932869	−	2.87107i
$157$	10.1903	−	4.53701i	0.813273	−	0.362093i	0.0424156	−	0.999100i	$-0.486495\pi$
$157$	10.1903	−	4.53701i	0.813273	−	0.362093i	0.770858	+	0.637007i	$0.219828\pi$
$158$	−3.11117	−	29.6008i	−0.247512	−	2.35491i
$159$	6.99389	−	5.08136i	0.554651	−	0.402978i
$160$	2.65589	+	8.17399i	0.209967	+	0.646210i
$161$	−0.860237	+	8.18461i	−0.0677962	+	0.645038i
$162$	5.24861	+	9.09085i	0.412369	+	0.714245i
$163$	18.4370	−	13.3953i	1.44410	−	1.04920i	0.456932	−	0.889501i	$-0.348948\pi$
$163$	18.4370	−	13.3953i	1.44410	−	1.04920i	0.987166	−	0.159697i	$-0.0510519\pi$
$164$	−41.0457	+	18.2747i	−3.20513	+	1.42702i
$165$	−11.2860	+	2.39890i	−0.878611	+	0.186754i
$166$	−12.1335	−	2.57906i	−0.941742	−	0.200174i
$167$	−3.78099	−	1.68341i	−0.292582	−	0.130266i	0.255197	−	0.966889i	$-0.417860\pi$
$167$	−3.78099	−	1.68341i	−0.292582	−	0.130266i	−0.547779	+	0.836623i	$0.684526\pi$
$168$	−20.0079	+	4.25280i	−1.54364	+	0.328111i
$169$	−14.6804	+	25.4272i	−1.12926	+	1.95594i
$170$	3.81545	+	6.60855i	0.292631	+	0.506852i
$171$	2.41005	+	2.67663i	0.184301	+	0.204687i
$172$	−26.3469			−2.00893
$173$	4.07628	+	4.52717i	0.309914	+	0.344194i	0.877900	−	0.478844i	$-0.158944\pi$
$173$	4.07628	+	4.52717i	0.309914	+	0.344194i	−0.567986	+	0.823038i	$0.692277\pi$
$174$	−2.63217	−	8.10098i	−0.199544	−	0.614134i
$175$	−3.36706	+	10.3627i	−0.254526	+	0.783350i
$176$	−14.5914	−	6.49652i	−1.09987	−	0.489693i
$177$	−3.69666	+	4.10556i	−0.277858	+	0.308593i
$178$	14.5467	−	16.1557i	1.09032	−	1.21092i
$179$	12.2261	+	2.59873i	0.913820	+	0.194239i	0.640745	−	0.767754i	$-0.278626\pi$
$179$	12.2261	+	2.59873i	0.913820	+	0.194239i	0.273076	+	0.961993i	$0.411959\pi$
$180$	12.0446	+	8.75088i	0.897748	+	0.652252i
$181$	0.658888	−	6.26890i	0.0489748	−	0.465964i	−0.942360	−	0.334602i	$-0.891398\pi$
$181$	0.658888	−	6.26890i	0.0489748	−	0.465964i	0.991334	−	0.131362i	$-0.0419351\pi$
$182$	43.2572			3.20644
$183$	−8.09296	+	6.85279i	−0.598249	+	0.506573i
$184$	−17.5888			−1.29666
$185$	−2.21920	+	21.1143i	−0.163159	+	1.55236i
$186$	−11.6843	−	8.48911i	−0.856731	−	0.622452i
$187$	−2.78313	−	0.591572i	−0.203522	−	0.0432600i
$188$	−0.530671	+	0.589369i	−0.0387031	+	0.0429842i
$189$	−10.0258	+	11.1348i	−0.729269	+	0.809935i
$190$	−21.4909	−	9.56838i	−1.55912	−	0.694163i
$191$	7.52102	−	23.1473i	0.544202	−	1.67488i	−0.178679	−	0.983907i	$-0.557182\pi$
$191$	7.52102	−	23.1473i	0.544202	−	1.67488i	0.722881	−	0.690973i	$-0.242818\pi$
$192$	1.76718	+	5.43881i	0.127535	+	0.392512i
$193$	−12.6517	−	14.0512i	−0.910693	−	1.01143i	−0.999881	−	0.0154120i	$-0.995094\pi$
$193$	−12.6517	−	14.0512i	−0.910693	−	1.01143i	0.0891885	−	0.996015i	$-0.471573\pi$
$194$	8.08865			0.580731
$195$	17.8418	+	19.8153i	1.27767	+	1.41900i
$196$	−0.104120	−	0.180340i	−0.00743711	−	0.0128815i
$197$	−7.72263	+	13.3760i	−0.550214	+	0.952999i	0.448044	+	0.894011i	$0.352121\pi$
$197$	−7.72263	+	13.3760i	−0.550214	+	0.952999i	−0.998259	+	0.0589880i	$0.981213\pi$
$198$	−7.97514	+	1.69517i	−0.566768	+	0.120470i
$199$	1.65900	+	0.738636i	0.117604	+	0.0523605i	0.464695	−	0.885471i	$-0.346164\pi$
$199$	1.65900	+	0.738636i	0.117604	+	0.0523605i	−0.347091	+	0.937831i	$0.612831\pi$
$200$	−22.7785	−	4.84172i	−1.61068	−	0.342362i
$201$	−1.10579	+	0.235043i	−0.0779963	+	0.0165786i
$202$	9.64394	−	4.29376i	0.678545	−	0.302108i
$203$	5.38269	−	3.91076i	0.377791	−	0.274481i
$204$	−2.92636	−	5.06861i	−0.204886	−	0.354873i
$205$	3.32122	−	31.5993i	0.231964	−	2.20699i
$206$	6.16621	+	18.9776i	0.429620	+	1.32223i
$207$	−2.90007	+	2.10703i	−0.201569	+	0.146449i
$208$	3.85829	+	36.7092i	0.267524	+	2.54532i
$209$	8.01325	−	3.56773i	0.554288	−	0.246785i
$210$	8.41403	−	25.8957i	0.580623	−	1.78697i
$211$	−3.97709	−	2.88952i	−0.273794	−	0.198923i	0.442412	−	0.896812i	$-0.354123\pi$
$211$	−3.97709	−	2.88952i	−0.273794	−	0.198923i	−0.716206	+	0.697889i	$0.754123\pi$
$212$	−13.5829	+	23.5263i	−0.932880	+	1.61580i
$213$	0.894146	+	8.50723i	0.0612659	+	0.582906i
$214$	2.19985	+	20.9302i	0.150379	+	1.43076i
$215$	9.31590	−	16.1356i	0.635339	−	1.10044i
$216$	−25.9071	−	18.8226i	−1.76275	−	1.28071i
$217$	3.48607	−	10.7290i	0.236650	−	0.728334i
$218$	12.1367	−	5.40360i	0.822000	−	0.365978i
$219$	−0.133304	−	1.26831i	−0.00900787	−	0.0857041i
$220$	29.3329	−	21.3116i	1.97762	−	1.43683i
$221$	2.03191	+	6.25356i	0.136681	+	0.420660i
$222$	2.49993	−	23.7852i	0.167784	−	1.59636i
$223$	8.55445	+	14.8167i	0.572848	+	0.992202i	0.996272	+	0.0862706i	$0.0274949\pi$
$223$	8.55445	+	14.8167i	0.572848	+	0.992202i	−0.423423	+	0.905932i	$0.639172\pi$
$224$	6.11824	−	4.44516i	0.408792	−	0.297005i
$225$	−4.33577	+	1.93041i	−0.289052	+	0.128694i
$226$	0.851931	−	0.181084i	0.0566696	−	0.0120455i
$227$	7.03985	+	1.49637i	0.467251	+	0.0993173i	0.435520	−	0.900179i	$-0.356565\pi$
$227$	7.03985	+	1.49637i	0.467251	+	0.0993173i	0.0317312	+	0.999496i	$0.489898\pi$
$228$	16.4831	+	7.33873i	1.09162	+	0.486019i
$229$	−25.1839	+	5.35300i	−1.66420	+	0.353736i	−0.941392	−	0.337315i	$-0.890481\pi$
$229$	−25.1839	+	5.35300i	−1.66420	+	0.353736i	−0.722806	+	0.691051i	$0.757148\pi$
$230$	11.7066	−	20.2765i	0.771912	−	1.33699i
$231$	5.07627	+	8.79236i	0.333994	+	0.578495i
$232$	9.51493	+	10.5674i	0.624686	+	0.693784i
$233$	14.3075			0.937315			0.468657	−	0.883380i	$-0.344738\pi$
$233$	14.3075			0.937315			0.468657	+	0.883380i	$0.344738\pi$
$234$	12.6077	+	14.0023i	0.824194	+	0.915360i
$235$	−0.173310	−	0.533392i	−0.0113055	−	0.0347947i
$236$	5.36468	−	16.5108i	0.349211	−	1.07476i
$237$	−14.7478	−	6.56616i	−0.957975	−	0.426518i
$238$	4.49290	−	4.98987i	0.291232	−	0.323445i
$239$	−18.0020	+	19.9933i	−1.16446	+	1.29326i	−0.215983	+	0.976397i	$0.569296\pi$
$239$	−18.0020	+	19.9933i	−1.16446	+	1.29326i	−0.948472	+	0.316861i	$0.897371\pi$
$240$	22.7262	+	4.83061i	1.46697	+	0.311814i
$241$	6.68877	+	4.85968i	0.430862	+	0.313039i	0.781993	−	0.623287i	$-0.214203\pi$
$241$	6.68877	+	4.85968i	0.430862	+	0.313039i	−0.351132	+	0.936326i	$0.614203\pi$
$242$	0.802823	−	7.63835i	0.0516074	−	0.491012i
$243$	−11.2370			−0.720855
$244$	14.4740	−	30.0164i	0.926600	−	1.92161i
$245$	0.147261			0.00940818
$246$	−3.74135	+	35.5965i	−0.238540	+	2.26955i
$247$	−16.3994	−	11.9149i	−1.04347	−	0.758126i
$248$	23.5837	+	5.01286i	1.49756	+	0.318317i
$249$	−4.50196	+	4.99993i	−0.285300	+	0.316858i
$250$	−4.52834	+	5.02923i	−0.286397	+	0.318077i
$251$	−26.5759	−	11.8323i	−1.67745	−	0.746851i	−0.999936	−	0.0113449i	$-0.996389\pi$
$251$	−26.5759	−	11.8323i	−1.67745	−	0.746851i	−0.677518	−	0.735506i	$-0.736945\pi$
$252$	4.04815	−	12.4589i	0.255009	−	0.784838i
$253$	2.69772	+	8.30274i	0.169604	+	0.521989i
$254$	−9.17122	−	10.1857i	−0.575454	−	0.639106i
$255$	4.13889			0.259187
$256$	−21.5673	−	23.9529i	−1.34796	−	1.49706i
$257$	0.926109	+	1.60407i	0.0577691	+	0.100059i	0.893464	−	0.449135i	$-0.148268\pi$
$257$	0.926109	+	1.60407i	0.0577691	+	0.100059i	−0.835695	+	0.549194i	$0.814935\pi$
$258$	−10.4943	+	18.1767i	−0.653349	+	1.13163i
$259$	18.2729	−	3.88403i	1.13542	−	0.241342i
$260$	−76.5455	−	34.0803i	−4.74715	−	2.11357i
$261$	2.83475	+	0.602544i	0.175466	+	0.0372965i
$262$	31.9253	−	6.78592i	1.97235	−	0.419236i
$263$	−13.1298	+	5.84575i	−0.809616	+	0.360464i	−0.769433	−	0.638728i	$-0.779461\pi$
$263$	−13.1298	+	5.84575i	−0.809616	+	0.360464i	−0.0401836	+	0.999192i	$0.512794\pi$
$264$	−17.5544	+	12.7540i	−1.08040	+	0.784954i
$265$	−9.60550	−	16.6372i	−0.590061	−	1.02202i
$266$	−2.16372	+	20.5864i	−0.132666	+	1.26223i
$267$	−3.64371	−	11.2142i	−0.222992	−	0.686297i
$268$	2.87401	−	2.08809i	0.175558	−	0.127550i
$269$	−1.18446	−	11.2694i	−0.0722177	−	0.687106i	−0.969407	−	0.245459i	$-0.921061\pi$
$269$	−1.18446	−	11.2694i	−0.0722177	−	0.687106i	0.897189	−	0.441646i	$-0.145605\pi$
$270$	38.9418	−	17.3380i	2.36992	−	1.05516i
$271$	−6.00085	+	18.4687i	−0.364526	+	1.12189i	0.585752	+	0.810490i	$0.300799\pi$
$271$	−6.00085	+	18.4687i	−0.364526	+	1.12189i	−0.950278	+	0.311404i	$0.899201\pi$
$272$	4.63527	+	3.36772i	0.281055	+	0.204198i
$273$	11.7311	−	20.3188i	0.709997	−	1.22975i
$274$	−2.83117	−	26.9368i	−0.171037	−	1.62731i
$275$	1.20819	+	11.4951i	0.0728565	+	0.693183i
$276$	−8.97872	+	15.5516i	−0.540455	+	0.936096i
$277$	26.4318	+	19.2038i	1.58813	+	1.15384i	0.906547	+	0.422104i	$0.138708\pi$
$277$	26.4318	+	19.2038i	1.58813	+	1.15384i	0.681583	+	0.731741i	$0.261292\pi$
$278$	−14.3533	+	44.1748i	−0.860851	+	2.64943i
$279$	4.48903	−	1.99864i	0.268751	−	0.119656i
$280$	4.75138	+	45.2064i	0.283949	+	2.70160i
$281$	−0.000812221	0	0.000590113i	−4.84530e−5	0	3.52032e-5i	−0.587809	−	0.808999i	$-0.700010\pi$
$281$	−0.000812221	0	0.000590113i	−4.84530e−5	0	3.52032e-5i	0.587761	+	0.809035i	$0.300010\pi$
$282$	0.195233	+	0.600864i	0.0116259	+	0.0357810i
$283$	2.63268	−	25.0482i	0.156496	−	1.48896i	−0.581162	−	0.813788i	$-0.697402\pi$
$283$	2.63268	−	25.0482i	0.156496	−	1.48896i	0.737658	−	0.675175i	$-0.235932\pi$
$284$	−13.4402	−	23.2792i	−0.797531	−	1.38136i
$285$	−10.3227	+	7.49985i	−0.611461	+	0.444253i
$286$	41.9199	−	18.6639i	2.47878	−	1.10362i
$287$	−27.3469	+	5.81277i	−1.61424	+	0.343117i
$288$	3.22211	+	0.684881i	0.189865	+	0.0403570i
$289$	−14.5979	−	6.49939i	−0.858698	−	0.382317i
$290$	−18.5150	+	3.93549i	−1.08724	+	0.231100i
$291$	2.19359	−	3.79941i	0.128590	−	0.222725i
$292$	2.00374	+	3.47059i	0.117260	+	0.203101i
$293$	−12.2260	−	13.5784i	−0.714253	−	0.793259i	0.271323	−	0.962488i	$-0.412539\pi$
$293$	−12.2260	−	13.5784i	−0.714253	−	0.793259i	−0.985577	+	0.169230i	$0.945872\pi$
$294$	−0.165889			−0.00967486
$295$	8.21483	+	9.12349i	0.478286	+	0.531190i
$296$	12.3378	+	37.9719i	0.717121	+	2.20707i
$297$	−4.91159	+	15.1163i	−0.284999	+	0.877137i
$298$	−7.88921	−	3.51250i	−0.457010	−	0.203474i
$299$	13.4995	−	14.9927i	0.780698	−	0.867053i
$300$	−15.9089	+	17.6686i	−0.918501	+	1.02010i
$301$	−16.0362	−	3.40859i	−0.924309	−	0.196468i
$302$	0.945830	+	0.687185i	0.0544264	+	0.0395431i
$303$	0.598505	−	5.69439i	0.0343832	−	0.327134i
$304$	−17.6631			−1.01305
$305$	13.2652	+	19.4777i	0.759562	+	1.11529i
$306$	2.92472			0.167195
$307$	2.01301	−	19.1525i	0.114889	−	1.09309i	−0.773435	−	0.633875i	$-0.781463\pi$
$307$	2.01301	−	19.1525i	0.114889	−	1.09309i	0.888324	−	0.459217i	$-0.151870\pi$
$308$	−25.8104	−	18.7524i	−1.47069	−	1.06852i
$309$	10.5864	+	2.25021i	0.602240	+	0.128010i
$310$	−21.4755	+	23.8510i	−1.21973	+	1.35464i
$311$	−0.455620	+	0.506017i	−0.0258358	+	0.0286936i	−0.755924	−	0.654659i	$-0.772812\pi$
$311$	−0.455620	+	0.506017i	−0.0258358	+	0.0286936i	0.730088	+	0.683353i	$0.239479\pi$
$312$	45.8090	+	20.3955i	2.59342	+	1.15467i
$313$	−5.54059	+	17.0522i	−0.313173	+	0.963846i	0.663327	+	0.748329i	$0.269144\pi$
$313$	−5.54059	+	17.0522i	−0.313173	+	0.963846i	−0.976500	+	0.215517i	$0.930856\pi$
$314$	8.62894	+	26.5571i	0.486959	+	1.49871i
$315$	6.19885	+	6.88452i	0.349266	+	0.387899i
$316$	50.7296			2.85376
$317$	16.6234	+	18.4621i	0.933662	+	1.03694i	0.999236	+	0.0390889i	$0.0124456\pi$
$317$	16.6234	+	18.4621i	0.933662	+	1.03694i	−0.0655738	+	0.997848i	$0.520888\pi$
$318$	10.8206	+	18.7418i	0.606787	+	1.05099i
$319$	3.52893	−	6.11229i	0.197582	−	0.342223i
$320$	12.4306	−	2.64220i	0.694890	−	0.147703i
$321$	10.4279	+	4.64282i	0.582030	+	0.259137i
$322$	−20.1515	−	4.28333i	−1.12300	−	0.238701i
$323$	−3.07775	+	0.654195i	−0.171250	+	0.0364004i
$324$	−16.3447	+	7.27711i	−0.908037	+	0.404284i
$325$	21.6098	−	15.7004i	1.19869	−	0.870903i
$326$	28.5248	+	49.4063i	1.57984	+	2.73636i
$327$	0.753205	−	7.16627i	0.0416523	−	0.396296i
$328$	−18.4646	−	56.8281i	−1.01954	−	3.13781i
$329$	−0.399244	+	0.290068i	−0.0220111	+	0.0159920i
$330$	−3.01917	−	28.7255i	−0.166200	−	1.58129i
$331$	−22.6996	+	10.1065i	−1.24768	+	0.555505i	−0.920976	−	0.389620i	$-0.872606\pi$
$331$	−22.6996	+	10.1065i	−1.24768	+	0.555505i	−0.326709	+	0.945125i	$0.605940\pi$
$332$	6.53335	−	20.1076i	0.358564	−	1.10355i
$333$	6.58308	+	4.78289i	0.360750	+	0.262101i
$334$	5.18041	−	8.97274i	0.283460	−	0.490966i
$335$	0.262598	+	2.49845i	0.0143473	+	0.136505i
$336$	−2.13697	−	20.3319i	−0.116581	−	1.10920i
$337$	10.9034	−	18.8852i	0.593945	−	1.02874i	−0.399750	−	0.916624i	$-0.630903\pi$
$337$	10.9034	−	18.8852i	0.593945	−	1.02874i	0.993695	−	0.112118i	$-0.0357635\pi$
$338$	−59.4626	−	43.2021i	−3.23434	−	2.34989i
$339$	0.145979	−	0.449278i	0.00792851	−	0.0244014i
$340$	−11.8817	+	5.29006i	−0.644374	+	0.286894i
$341$	−1.25089	−	11.9015i	−0.0677397	−	0.644500i
$342$	−7.29443	+	5.29971i	−0.394438	+	0.286576i
$343$	5.70295	+	17.5519i	0.307930	+	0.947712i
$344$	3.66255	−	34.8468i	0.197471	−	1.87881i
$345$	−6.34952	−	10.9977i	−0.341846	−	0.592095i
$346$	−12.3376	+	8.96377i	−0.663272	+	0.481896i
$347$	−7.78673	+	3.46688i	−0.418014	+	0.186112i	−0.604956	−	0.796259i	$-0.706809\pi$
$347$	−7.78673	+	3.46688i	−0.418014	+	0.186112i	0.186942	+	0.982371i	$0.440142\pi$
$348$	14.2006	−	3.01843i	0.761233	−	0.161805i
$349$	−15.9732	−	3.39520i	−0.855024	−	0.181741i	−0.240510	−	0.970647i	$-0.577315\pi$
$349$	−15.9732	−	3.39520i	−0.855024	−	0.181741i	−0.614514	+	0.788906i	$0.710648\pi$
$350$	−24.9183	−	11.0943i	−1.33194	−	0.593017i
$351$	35.9283	−	7.63679i	1.91771	−	0.407622i
$352$	4.01116	−	6.94753i	0.213796	−	0.370305i
$353$	1.16347	+	2.01518i	0.0619251	+	0.107257i	0.895326	−	0.445412i	$-0.146943\pi$
$353$	1.16347	+	2.01518i	0.0619251	+	0.107257i	−0.833401	+	0.552669i	$0.813609\pi$
$354$	−9.25398	−	10.2776i	−0.491843	−	0.546247i
$355$	19.0092			1.00890
$356$	24.7934	+	27.5358i	1.31405	+	1.45940i
$357$	−1.12540	−	3.46363i	−0.0595625	−	0.183315i
$358$	−9.66906	+	29.7583i	−0.511026	+	1.57278i
$359$	21.6747	+	9.65022i	1.14395	+	0.509319i	0.889123	−	0.457668i	$-0.151315\pi$
$359$	21.6747	+	9.65022i	1.14395	+	0.509319i	0.254826	+	0.966987i	$0.417982\pi$
$360$	−13.2484	+	14.7139i	−0.698253	+	0.775488i
$361$	−6.22282	+	6.91114i	−0.327517	+	0.363744i
$362$	15.4348	+	3.28076i	0.811234	+	0.172433i
$363$	−3.37017	−	2.44857i	−0.176888	−	0.128517i
$364$	−7.70664	+	73.3238i	−0.403938	+	3.84321i
$365$	−2.83399			−0.148338
$366$	−14.9432	−	21.9416i	−0.781092	−	1.14690i
$367$	14.0566			0.733749			0.366875	−	0.930270i	$-0.380428\pi$
$367$	14.0566			0.733749			0.366875	+	0.930270i	$0.380428\pi$
$368$	1.83755	−	17.4831i	0.0957888	−	0.911369i
$369$	−9.85212	−	7.15799i	−0.512881	−	0.372630i
$370$	−51.9859	−	11.0500i	−2.70262	−	0.574460i
$371$	−11.3110	+	12.5622i	−0.587239	+	0.652195i
$372$	16.4712	−	18.2932i	0.853993	−	0.948456i
$373$	32.2659	+	14.3657i	1.67067	+	0.743829i	0.999998	+	0.00207123i	$0.000659292\pi$
$373$	32.2659	+	14.3657i	1.67067	+	0.743829i	0.670668	+	0.741757i	$0.266007\pi$
$374$	2.20105	−	6.77414i	0.113814	−	0.350282i
$375$	1.13428	+	3.49095i	0.0585739	+	0.180272i
$376$	−0.705740	−	0.783804i	−0.0363958	−	0.0404216i
$377$	−16.3105			−0.840031
$378$	−25.0979	−	27.8741i	−1.29090	−	1.43369i
$379$	1.42658	+	2.47091i	0.0732785	+	0.126922i	0.900336	−	0.435195i	$-0.143320\pi$
$379$	1.42658	+	2.47091i	0.0732785	+	0.126922i	−0.827058	+	0.562117i	$0.809987\pi$
$380$	20.0478	−	34.7238i	1.02843	−	1.78129i
$381$	−7.27159	+	1.54563i	−0.372535	+	0.0791848i
$382$	55.6600	+	24.7814i	2.84781	+	1.26793i
$383$	−17.0129	−	3.61620i	−0.869318	−	0.184779i	−0.248403	−	0.968657i	$-0.579906\pi$
$383$	−17.0129	−	3.61620i	−0.869318	−	0.184779i	−0.620915	+	0.783878i	$0.713239\pi$
$384$	−21.5691	+	4.58466i	−1.10069	+	0.233960i
$385$	20.6108	−	9.17650i	1.05042	−	0.467678i
$386$	38.2927	−	27.8213i	1.94905	−	1.41607i
$387$	−3.57054	−	6.18435i	−0.181501	−	0.314368i
$388$	−1.44106	+	13.7108i	−0.0731588	+	0.696060i
$389$	−8.22318	−	25.3084i	−0.416932	−	1.28318i	−0.910511	−	0.413484i	$-0.864312\pi$
$389$	−8.22318	−	25.3084i	−0.416932	−	1.28318i	0.493579	−	0.869701i	$-0.335688\pi$
$390$	−54.0012	+	39.2342i	−2.73446	+	1.98670i
$391$	−0.327341	−	3.11444i	−0.0165543	−	0.157504i
$392$	0.252995	−	0.112641i	0.0127782	−	0.00568922i
$393$	5.47043	−	16.8362i	0.275947	−	0.849276i
$394$	−31.2804	−	22.7265i	−1.57588	−	1.14495i
$395$	−17.9373	+	31.0683i	−0.902524	+	1.56322i
$396$	−1.45258	−	13.8204i	−0.0729949	−	0.694500i
$397$	−1.05682	−	10.0550i	−0.0530403	−	0.504645i	−0.988501	−	0.151214i	$-0.951682\pi$
$397$	−1.05682	−	10.0550i	−0.0530403	−	0.504645i	0.935461	−	0.353431i	$-0.114985\pi$
$398$	−2.27304	+	3.93701i	−0.113937	+	0.197345i
$399$	9.08306	+	6.59923i	0.454722	+	0.330375i
$400$	7.19236	−	22.1358i	0.359618	−	1.10679i
$401$	26.9960	−	12.0194i	1.34811	−	0.600219i	0.399523	−	0.916723i	$-0.369176\pi$
$401$	26.9960	−	12.0194i	1.34811	−	0.600219i	0.948591	+	0.316504i	$0.102509\pi$
$402$	−0.295816	−	2.81450i	−0.0147539	−	0.140374i
$403$	−22.3736	+	16.2554i	−1.11451	+	0.809738i
$404$	5.56005	+	17.1121i	0.276623	+	0.851357i
$405$	1.32253	−	12.5831i	0.0657172	−	0.625257i
$406$	8.32781	+	14.4242i	0.413302	+	0.715861i
$407$	16.0322	−	11.6481i	0.794686	−	0.577373i
$408$	7.11063	−	3.16585i	0.352028	−	0.156733i
$409$	−17.9004	+	3.80485i	−0.885117	+	0.188137i	−0.627973	−	0.778235i	$-0.716115\pi$
$409$	−17.9004	+	3.80485i	−0.885117	+	0.188137i	−0.257145	+	0.966373i	$0.582782\pi$
$410$	77.8013	+	16.5372i	3.84233	+	0.816713i
$411$	−13.4206	−	5.97522i	−0.661988	−	0.294736i
$412$	−33.2669	+	7.07109i	−1.63894	+	0.348368i
$413$	5.40130	−	9.35533i	0.265781	−	0.460346i
$414$	−4.48684	−	7.77143i	−0.220516	−	0.381945i
$415$	10.0044	+	11.1110i	0.491096	+	0.545417i
$416$	−18.5393			−0.908963
$417$	16.8573	+	18.7219i	0.825505	+	0.916816i
$418$	6.78547	+	20.8835i	0.331888	+	1.02145i
$419$	7.68503	−	23.6521i	0.375438	−	1.15548i	−0.567744	−	0.823205i	$-0.692184\pi$
$419$	7.68503	−	23.6521i	0.375438	−	1.15548i	0.943183	−	0.332275i	$-0.107816\pi$
$420$	42.3959	+	18.8759i	2.06871	+	0.921047i
$421$	6.64819	−	7.38356i	0.324013	−	0.359853i	−0.559028	−	0.829149i	$-0.688826\pi$
$421$	6.64819	−	7.38356i	0.324013	−	0.359853i	0.883041	+	0.469296i	$0.155492\pi$
$422$	8.23450	−	9.14534i	0.400849	−	0.445188i
$423$	−0.210258	−	0.0446918i	−0.0102231	−	0.00217299i
$424$	−29.2281	−	21.2355i	−1.41944	−	1.03129i
$425$	0.433396	−	4.12349i	0.0210228	−	0.200018i
$426$	−21.4138			−1.03750
$427$	12.6930	−	16.3971i	0.614257	−	0.793512i
$428$	−35.8700			−1.73384
$429$	2.60156	−	24.7522i	0.125604	−	1.19505i
$430$	37.7339	+	27.4153i	1.81969	+	1.32208i
$431$	−24.3878	−	5.18379i	−1.17472	−	0.249695i	−0.421106	−	0.907011i	$-0.638358\pi$
$431$	−24.3878	−	5.18379i	−1.17472	−	0.249695i	−0.753614	+	0.657317i	$0.771691\pi$
$432$	21.4160	−	23.7849i	1.03038	−	1.14435i
$433$	−6.16032	+	6.84173i	−0.296046	+	0.328792i	−0.872756	−	0.488156i	$-0.837670\pi$
$433$	−6.16032	+	6.84173i	−0.296046	+	0.328792i	0.576710	+	0.816949i	$0.304336\pi$
$434$	25.7990	+	11.4865i	1.23839	+	0.551368i
$435$	−3.17257	+	9.76417i	−0.152113	+	0.468156i
$436$	6.99720	+	21.5352i	0.335105	+	1.03135i
$437$	6.45990	+	7.17445i	0.309019	+	0.343200i
$438$	3.19248			0.152543
$439$	3.42144	+	3.79989i	0.163296	+	0.181359i	0.819240	−	0.573451i	$-0.194396\pi$
$439$	3.42144	+	3.79989i	0.163296	+	0.181359i	−0.655943	+	0.754810i	$0.727729\pi$
$440$	24.1094	+	41.7587i	1.14937	+	1.99077i
$441$	0.0282207	−	0.0488796i	0.00134384	−	0.00232760i
$442$	−16.1007	+	3.42231i	−0.765832	+	0.162783i
$443$	33.0448	+	14.7125i	1.57001	+	0.699012i	0.993043	−	0.117756i	$-0.0375702\pi$
$443$	33.0448	+	14.7125i	1.57001	+	0.699012i	0.576965	+	0.816769i	$0.304237\pi$
$444$	39.8721	+	8.47507i	1.89224	+	0.402209i
$445$	−25.6304	+	5.44791i	−1.21500	+	0.258255i
$446$	−39.1265	+	17.4203i	−1.85269	+	0.824873i
$447$	−3.78940	+	2.75316i	−0.179232	+	0.130220i
$448$	−5.59111	−	9.68408i	−0.264155	−	0.457530i
$449$	−0.841664	+	8.00790i	−0.0397206	+	0.377916i	0.956546	+	0.291582i	$0.0941817\pi$
$449$	−0.841664	+	8.00790i	−0.0397206	+	0.377916i	−0.996266	+	0.0863336i	$0.972485\pi$
$450$	−3.67145	−	11.2996i	−0.173074	−	0.532667i
$451$	−23.9935	+	17.4323i	−1.12981	+	0.820854i
$452$	0.155170	+	1.47634i	0.00729856	+	0.0694412i
$453$	0.579288	−	0.257916i	0.0272173	−	0.0121179i
$454$	−5.56750	+	17.1350i	−0.261296	+	0.804185i
$455$	−42.1807	−	30.6461i	−1.97746	−	1.43671i
$456$	−11.9977	+	20.7806i	−0.561843	+	0.973141i
$457$	0.0867369	+	0.825246i	0.00405738	+	0.0386034i	0.996363	−	0.0852071i	$-0.0271552\pi$
$457$	0.0867369	+	0.825246i	0.00405738	+	0.0386034i	−0.992306	+	0.123810i	$0.960489\pi$
$458$	−6.73708	−	64.0991i	−0.314803	−	2.99515i
$459$	2.85075	−	4.93765i	0.133062	−	0.230470i
$460$	32.2843	+	23.4559i	1.50526	+	1.09364i
$461$	−10.6559	+	32.7954i	−0.496293	+	1.52743i	0.318638	+	0.947876i	$0.396775\pi$
$461$	−10.6559	+	32.7954i	−0.496293	+	1.52743i	−0.814931	+	0.579557i	$0.803225\pi$
$462$	−23.2180	+	10.3373i	−1.08020	+	0.480935i
$463$	1.51858	+	14.4483i	0.0705743	+	0.671470i	0.971426	+	0.237343i	$0.0762765\pi$
$463$	1.51858	+	14.4483i	0.0705743	+	0.671470i	−0.900852	+	0.434127i	$0.857057\pi$
$464$	−11.4979	+	8.35374i	−0.533778	+	0.387813i
$465$	5.37927	+	16.5557i	0.249458	+	0.767752i
$466$	−3.74384	+	35.6202i	−0.173430	+	1.65008i
$467$	−2.11107	−	3.65649i	−0.0976889	−	0.169202i	0.813039	−	0.582210i	$-0.197812\pi$
$467$	−2.11107	−	3.65649i	−0.0976889	−	0.169202i	−0.910728	+	0.413007i	$0.864478\pi$
$468$	−25.9810	+	18.8763i	−1.20097	+	0.872557i
$469$	2.01942	−	0.899106i	0.0932484	−	0.0415168i
$470$	1.37329	−	0.291903i	0.0633453	−	0.0134645i
$471$	14.8145	+	3.14893i	0.682618	+	0.145095i
$472$	21.0917	+	9.39062i	0.970824	+	0.432239i
$473$	−17.0111	+	3.61582i	−0.782170	+	0.166255i
$474$	20.2063	−	34.9984i	0.928107	−	1.60753i
$475$	6.39101	+	11.0696i	0.293240	+	0.507906i
$476$	7.65771	+	8.50475i	0.350990	+	0.389814i
$477$	−7.36306			−0.337132
$478$	−45.0651	−	50.0499i	−2.06123	−	2.28923i
$479$	−11.6583	−	35.8807i	−0.532683	−	1.63943i	−0.748602	−	0.663020i	$-0.769275\pi$
$479$	−11.6583	−	35.8807i	−0.532683	−	1.63943i	0.215919	−	0.976411i	$-0.430725\pi$
$480$	−3.60610	+	11.0984i	−0.164595	+	0.506572i
$481$	−41.8367	−	18.6269i	−1.90759	−	0.849314i
$482$	−13.8490	+	15.3809i	−0.630805	+	0.700580i
$483$	−7.47691	+	8.30395i	−0.340211	+	0.377843i
$484$	12.8045	+	2.72167i	0.582021	+	0.123712i
$485$	−7.88736	−	5.73050i	−0.358147	−	0.260209i
$486$	2.94039	−	27.9759i	0.133379	−	1.26901i
$487$	13.1516			0.595956			0.297978	−	0.954573i	$-0.403688\pi$
$487$	13.1516			0.595956			0.297978	+	0.954573i	$0.403688\pi$
$488$	37.6882	+	23.3162i	1.70606	+	1.05547i
$489$	30.9429			1.39929
$490$	−0.0385338	+	0.366625i	−0.00174078	+	0.0165624i
$491$	−2.85528	−	2.07448i	−0.128857	−	0.0936200i	0.521490	−	0.853257i	$-0.325376\pi$
$491$	−2.85528	−	2.07448i	−0.128857	−	0.0936200i	−0.650347	+	0.759637i	$0.725376\pi$
$492$	−59.6718	−	12.6836i	−2.69021	−	0.571823i
$493$	−1.69408	+	1.88147i	−0.0762976	+	0.0847371i
$494$	33.9548	−	37.7106i	1.52770	−	1.69668i
$495$	8.97763	+	3.99710i	0.403515	+	0.179656i
$496$	−7.44658	+	22.9182i	−0.334361	+	1.02906i
$497$	−5.16876	−	15.9078i	−0.231850	−	0.713562i
$498$	−11.2699	−	12.5165i	−0.505017	−	0.560878i
$499$	−17.7432			−0.794293			−0.397146	−	0.917755i	$-0.629999\pi$
$499$	−17.7432			−0.794293			−0.397146	+	0.917755i	$0.629999\pi$
$500$	−7.71811	−	8.57183i	−0.345164	−	0.383344i
$501$	−2.80979	−	4.86669i	−0.125532	−	0.217428i
$502$	36.4122	−	63.0677i	1.62515	−	2.81485i
$503$	−12.2886	+	2.61202i	−0.547921	+	0.116464i	−0.473551	−	0.880767i	$-0.657028\pi$
$503$	−12.2886	+	2.61202i	−0.547921	+	0.116464i	−0.0743702	+	0.997231i	$0.523695\pi$
$504$	15.9156	+	7.08610i	0.708939	+	0.315640i
$505$	−12.4459	−	2.64546i	−0.553836	−	0.117721i
$506$	−21.3766	+	4.54373i	−0.950305	+	0.201994i
$507$	−36.4188	+	16.2147i	−1.61741	+	0.720120i
$508$	18.8993	−	13.7311i	0.838521	−	0.609221i
$509$	5.28551	+	9.15477i	0.234276	+	0.405778i	0.959062	−	0.283196i	$-0.0913947\pi$
$509$	5.28551	+	9.15477i	0.234276	+	0.405778i	−0.724786	+	0.688974i	$0.758061\pi$
$510$	−1.08302	+	10.3043i	−0.0479571	+	0.456281i
$511$	0.770587	+	2.37162i	0.0340888	+	0.104914i
$512$	38.9995	−	28.3348i	1.72355	−	1.25223i
$513$	1.83727	+	17.4805i	0.0811176	+	0.771782i
$514$	−4.23586	+	1.88592i	−0.186836	+	0.0831846i
$515$	7.43218	−	22.8739i	0.327501	−	1.00794i
$516$	−28.9411	−	21.0269i	−1.27406	−	0.925658i
$517$	−0.261748	+	0.453360i	−0.0115116	+	0.0199388i
$518$	4.88829	+	46.5090i	0.214779	+	2.04349i
$519$	0.864601	+	8.22613i	0.0379518	+	0.361087i
$520$	55.7159	−	96.5028i	2.44330	−	4.23193i
$521$	10.6412	+	7.73128i	0.466199	+	0.338714i	0.795958	−	0.605352i	$-0.206967\pi$
$521$	10.6412	+	7.73128i	0.466199	+	0.338714i	−0.329759	+	0.944065i	$0.606967\pi$
$522$	−2.24187	+	6.89978i	−0.0981242	+	0.301995i
$523$	−9.45287	+	4.20869i	−0.413345	+	0.184033i	−0.602864	−	0.797844i	$-0.705974\pi$
$523$	−9.45287	+	4.20869i	−0.413345	+	0.184033i	0.189519	+	0.981877i	$0.439307\pi$
$524$	5.81482	+	55.3243i	0.254022	+	2.41685i
$525$	−11.9689	+	8.69591i	−0.522365	+	0.379521i
$526$	−11.1180	−	34.2178i	−0.484770	−	1.49197i
$527$	−0.448715	+	4.26924i	−0.0195463	+	0.185971i
$528$	−10.8434	−	18.7813i	−0.471898	−	0.817351i
$529$	10.8340	−	7.87138i	0.471044	−	0.342234i
$530$	43.9338	−	19.5606i	1.90836	−	0.849658i
$531$	4.60257	−	0.978307i	0.199735	−	0.0424549i
$532$	−34.5098	−	7.33528i	−1.49619	−	0.318025i
$533$	62.6121	+	27.8767i	2.71203	+	1.20747i
$534$	28.8725	−	6.13705i	1.24944	−	0.265576i
$535$	12.6831	−	21.9679i	0.548340	−	0.949753i
$536$	2.36222	+	4.09148i	0.102032	+	0.176725i
$537$	11.3559	+	12.6120i	0.490043	+	0.544248i
$538$	28.3664			1.22296
$539$	−0.0919754	−	0.102149i	−0.00396166	−	0.00439987i
$540$	22.4512	+	69.0978i	0.966147	+	2.97349i
$541$	−3.47648	+	10.6995i	−0.149466	+	0.460008i	−0.997558	−	0.0698402i	$-0.977751\pi$
$541$	−3.47648	+	10.6995i	−0.149466	+	0.460008i	0.848093	+	0.529848i	$0.177751\pi$
$542$	−44.4099	−	19.7726i	−1.90757	−	0.849304i
$543$	5.72685	−	6.36031i	0.245763	−	0.272947i
$544$	−1.92558	+	2.13857i	−0.0825585	+	0.0916905i
$545$	−15.6629	−	3.32925i	−0.670925	−	0.142610i
$546$	47.5165	+	34.5227i	2.03352	+	1.47744i
$547$	−0.728273	+	6.92905i	−0.0311387	+	0.296265i	0.967859	+	0.251495i	$0.0809222\pi$
$547$	−0.728273	+	6.92905i	−0.0311387	+	0.296265i	−0.998997	+	0.0447700i	$0.985744\pi$
$548$	46.1640			1.97203
$549$	9.00722	−	0.670394i	0.384419	−	0.0286117i
$550$	−28.9347			−1.23378
$551$	0.815845	−	7.76225i	0.0347562	−	0.330683i
$552$	−19.3207	−	14.0373i	−0.822342	−	0.597466i
$553$	30.8768	+	6.56307i	1.31302	+	0.279090i
$554$	−54.7266	+	60.7800i	−2.32511	+	2.58230i
$555$	−19.2886	+	21.4222i	−0.818757	+	0.909321i
$556$	−72.3219	−	32.1998i	−3.06713	−	1.36558i
$557$	7.48423	−	23.0341i	0.317117	−	0.975985i	−0.657757	−	0.753230i	$-0.728495\pi$
$557$	7.48423	−	23.0341i	0.317117	−	0.975985i	0.974874	−	0.222756i	$-0.0715052\pi$
$558$	3.80122	+	11.6990i	0.160919	+	0.495257i
$559$	26.8925	+	29.8671i	1.13743	+	1.26324i
$560$	−45.4310			−1.91981
$561$	−2.58504	−	2.87098i	−0.109140	−	0.121213i
$562$	−0.00125662	−	0.00217654i	−5.30075e−5	−	9.18117e-5i
$563$	−7.11363	+	12.3212i	−0.299804	+	0.519275i	−0.976091	−	0.217363i	$-0.930255\pi$
$563$	−7.11363	+	12.3212i	−0.299804	+	0.519275i	0.676287	+	0.736638i	$0.263588\pi$
$564$	−1.05329	+	0.223883i	−0.0443513	+	0.00942717i
$565$	−0.959021	−	0.426984i	−0.0403463	−	0.0179633i
$566$	61.6717	+	13.1087i	2.59226	+	0.551001i
$567$	−10.8897	+	2.31468i	−0.457326	+	0.0972076i
$568$	32.6578	−	14.5402i	1.37029	−	0.610092i
$569$	−18.9037	+	13.7343i	−0.792482	+	0.575772i	−0.908699	−	0.417452i	$-0.862923\pi$
$569$	−18.9037	+	13.7343i	−0.792482	+	0.575772i	0.116217	+	0.993224i	$0.462923\pi$
$570$	−15.9707	−	27.6620i	−0.668937	−	1.15863i
$571$	−2.28192	+	21.7110i	−0.0954954	+	0.908578i	0.836953	+	0.547275i	$0.184335\pi$
$571$	−2.28192	+	21.7110i	−0.0954954	+	0.908578i	−0.932448	+	0.361303i	$0.882332\pi$
$572$	24.1682	+	74.3821i	1.01052	+	3.11007i
$573$	26.7350	−	19.4241i	1.11687	−	0.811453i
$574$	−7.31573	−	69.6045i	−0.305353	−	2.90524i
$575$	−11.6216	+	5.17428i	−0.484655	+	0.215782i
$576$	1.50514	−	4.63236i	0.0627143	−	0.193015i
$577$	7.82847	+	5.68772i	0.325904	+	0.236783i	0.738690	−	0.674045i	$-0.235445\pi$
$577$	7.82847	+	5.68772i	0.325904	+	0.236783i	−0.412787	+	0.910828i	$0.635445\pi$
$578$	20.0008	−	34.6425i	0.831925	−	1.44094i
$579$	−2.68350	−	25.5318i	−0.111523	−	1.06107i
$580$	−3.37230	−	32.0853i	−0.140027	−	1.33227i
$581$	6.57795	−	11.3933i	0.272899	−	0.472675i
$582$	8.88509	+	6.45539i	0.368299	+	0.267585i
$583$	−5.54121	+	17.0541i	−0.229493	+	0.706308i
$584$	−4.86880	+	2.16773i	−0.201472	+	0.0897013i
$585$	−2.37388	−	22.5860i	−0.0981479	−	0.933815i
$586$	37.0043	−	26.8852i	1.52863	−	1.11062i
$587$	−10.6052	−	32.6396i	−0.437725	−	1.34718i	−0.890268	−	0.455437i	$-0.849483\pi$
$587$	−10.6052	−	32.6396i	−0.437725	−	1.34718i	0.452543	−	0.891742i	$-0.350517\pi$
$588$	0.0295546	−	0.281193i	0.00121881	−	0.0115962i
$589$	−6.61691	−	11.4608i	−0.272645	−	0.472235i
$590$	−24.8636	+	18.0645i	−1.02362	+	0.743703i
$591$	−19.1581	+	8.52975i	−0.788060	+	0.350867i
$592$	−39.0327	+	8.29665i	−1.60423	+	0.340990i
$593$	−34.5383	−	7.34135i	−1.41832	−	0.301473i	−0.565961	−	0.824432i	$-0.691495\pi$
$593$	−34.5383	−	7.34135i	−1.41832	−	0.301473i	−0.852358	+	0.522959i	$0.824828\pi$
$594$	−36.3487	−	16.1835i	−1.49140	−	0.664016i
$595$	−7.91623	+	1.68265i	−0.324534	+	0.0689818i
$596$	7.35945	−	12.7469i	0.301455	−	0.522135i
$597$	1.23286	+	2.13538i	0.0504578	+	0.0873954i
$598$	33.7938	+	37.5319i	1.38193	+	1.53479i
$599$	−18.5941			−0.759733			−0.379867	−	0.925041i	$-0.624030\pi$
$599$	−18.5941			−0.759733			−0.379867	+	0.925041i	$0.624030\pi$
$600$	−21.1573	−	23.4975i	−0.863743	−	0.959283i
$601$	−2.77356	−	8.53615i	−0.113136	−	0.348197i	0.878418	−	0.477894i	$-0.158600\pi$
$601$	−2.77356	−	8.53615i	−0.113136	−	0.348197i	−0.991554	+	0.129697i	$0.958600\pi$
$602$	12.6823	−	39.0320i	0.516891	−	1.59083i
$603$	0.879621	+	0.391632i	0.0358209	+	0.0159485i
$604$	−1.33333	+	1.48081i	−0.0542525	+	0.0602535i
$605$	−6.19433	+	6.87950i	−0.251835	+	0.279691i
$606$	14.0203	+	2.98010i	0.569535	+	0.121058i
$607$	26.9514	+	19.5813i	1.09392	+	0.794781i	0.980057	−	0.198716i	$-0.0636770\pi$
$607$	26.9514	+	19.5813i	1.09392	+	0.794781i	0.113865	+	0.993496i	$0.463677\pi$
$608$	0.927330	−	8.82296i	0.0376082	−	0.357818i
$609$	9.03379			0.366068
$610$	−51.9632	+	27.9285i	−2.10393	+	1.13079i
$611$	1.20978			0.0489423
$612$	−0.521063	+	4.95758i	−0.0210627	+	0.200398i
$613$	17.5992	+	12.7865i	0.710823	+	0.516443i	0.883439	−	0.468546i	$-0.155222\pi$
$613$	17.5992	+	12.7865i	0.710823	+	0.516443i	−0.172616	+	0.984989i	$0.555222\pi$
$614$	47.1558	+	10.0233i	1.90305	+	0.404507i
$615$	28.8670	−	32.0601i	1.16403	−	1.29279i
$616$	28.3902	−	31.5305i	1.14387	−	1.27040i
$617$	10.0955	+	4.49479i	0.406428	+	0.180953i	0.599760	−	0.800180i	$-0.295263\pi$
$617$	10.0955	+	4.49479i	0.406428	+	0.180953i	−0.193332	+	0.981133i	$0.561929\pi$
$618$	−8.37232	+	25.7674i	−0.336784	+	1.03652i
$619$	1.89369	+	5.82818i	0.0761139	+	0.234254i	0.981874	−	0.189537i	$-0.0606988\pi$
$619$	1.89369	+	5.82818i	0.0761139	+	0.234254i	−0.905760	+	0.423792i	$0.860699\pi$
$620$	−36.6029	−	40.6516i	−1.47001	−	1.63261i
$621$	−17.4935			−0.701989
$622$	−1.14057	−	1.26673i	−0.0457327	−	0.0507913i
$623$	11.5282	+	19.9674i	0.461868	+	0.799978i
$624$	−25.0587	+	43.4029i	−1.00315	+	1.73751i
$625$	28.0504	−	5.96230i	1.12202	−	0.238492i
$626$	−41.0037	−	18.2560i	−1.63884	−	0.729657i
$627$	11.6496	+	2.47620i	0.465240	+	0.0988897i
$628$	−46.5534	+	9.89523i	−1.85768	+	0.394863i
$629$	−6.49404	+	2.89133i	−0.258934	+	0.115285i
$630$	−18.7619	+	13.6313i	−0.747492	+	0.543085i
$631$	6.66789	+	11.5491i	0.265444	+	0.459763i	0.967680	−	0.252181i	$-0.0811480\pi$
$631$	6.66789	+	11.5491i	0.265444	+	0.459763i	−0.702236	+	0.711945i	$0.747815\pi$
$632$	−7.05205	+	67.0958i	−0.280516	+	2.66893i
$633$	−2.06261	−	6.34807i	−0.0819815	−	0.252313i
$634$	−50.3136	+	36.5549i	−1.99821	+	1.45178i
$635$	1.72683	+	16.4297i	0.0685270	+	0.651991i
$636$	−33.6963	+	15.0025i	−1.33614	+	0.594890i
$637$	−0.0981603	+	0.302106i	−0.00388925	+	0.0119699i
$638$	14.2939	+	10.3851i	0.565900	+	0.411151i
$639$	3.64285	−	6.30961i	0.144109	−	0.249604i
$640$	5.12214	+	48.7339i	0.202470	+	1.92638i
$641$	−1.19331	−	11.3536i	−0.0471329	−	0.448439i	−0.992483	−	0.122382i	$-0.960947\pi$
$641$	−1.19331	−	11.3536i	−0.0471329	−	0.448439i	0.945350	−	0.326057i	$-0.105720\pi$
$642$	−14.2875	+	24.7467i	−0.563884	+	0.976675i
$643$	−16.8513	−	12.2432i	−0.664551	−	0.482825i	0.203646	−	0.979045i	$-0.434721\pi$
$643$	−16.8513	−	12.2432i	−0.664551	−	0.482825i	−0.868197	+	0.496220i	$0.834721\pi$
$644$	10.8507	−	33.3949i	0.427576	−	1.31594i
$645$	23.1107	−	10.2895i	0.909983	−	0.405150i
$646$	−0.823345	−	7.83361i	−0.0323941	−	0.308209i
$647$	−31.4040	+	22.8163i	−1.23462	+	0.897003i	−0.997228	−	0.0744109i	$-0.976292\pi$
$647$	−31.4040	+	22.8163i	−1.23462	+	0.897003i	−0.237391	+	0.971414i	$0.576292\pi$
$648$	−7.35272	−	22.6293i	−0.288842	−	0.888964i
$649$	1.19783	−	11.3966i	0.0470189	−	0.447355i
$650$	33.4335	+	57.9085i	1.31137	+	2.27136i
$651$	12.3920	−	9.00328i	0.485679	−	0.352866i
$652$	−88.8288	+	39.5491i	−3.47880	+	1.54886i
$653$	−24.2297	+	5.15018i	−0.948181	+	0.201542i	−0.655949	−	0.754805i	$-0.727731\pi$
$653$	−24.2297	+	5.15018i	−0.948181	+	0.201542i	−0.292232	+	0.956347i	$0.594398\pi$
$654$	17.6442	+	3.75039i	0.689943	+	0.146652i
$655$	−35.9384	−	16.0008i	−1.40423	−	0.625202i
$656$	58.4156	−	12.4166i	2.28075	−	0.484788i
$657$	−0.543097	+	0.940671i	−0.0211882	+	0.0366991i
$658$	−0.617689	−	1.06987i	−0.0240800	−	0.0417079i
$659$	7.95501	+	8.83494i	0.309883	+	0.344160i	0.877889	−	0.478864i	$-0.158951\pi$
$659$	7.95501	+	8.83494i	0.309883	+	0.344160i	−0.568006	+	0.823025i	$0.692285\pi$
$660$	49.2294			1.91625
$661$	12.4595	+	13.8377i	0.484619	+	0.538224i	0.935017	−	0.354604i	$-0.115384\pi$
$661$	12.4595	+	13.8377i	0.484619	+	0.538224i	−0.450397	+	0.892828i	$0.648718\pi$
$662$	−19.2216	−	59.1581i	−0.747069	−	2.29924i
$663$	−2.75887	+	8.49093i	−0.107146	+	0.329761i
$664$	25.6864	+	11.4363i	0.996826	+	0.443815i
$665$	16.6945	−	18.5412i	0.647387	−	0.718996i
$666$	−13.6302	+	15.1378i	−0.528158	+	0.586579i
$667$	7.59827	+	1.61506i	0.294206	+	0.0625354i
$668$	14.2864	+	10.3797i	0.552759	+	0.401603i
$669$	−2.42820	+	23.1028i	−0.0938797	+	0.893205i
$670$	−6.28891			−0.242962
$671$	5.22581	−	21.3668i	0.201740	−	0.824854i
$672$	10.2682			0.396106
$673$	−1.11150	+	10.5753i	−0.0428454	+	0.407646i	0.951989	+	0.306133i	$0.0990352\pi$
$673$	−1.11150	+	10.5753i	−0.0428454	+	0.407646i	−0.994834	+	0.101513i	$0.967631\pi$
$674$	44.1639	+	32.0870i	1.70113	+	1.23594i
$675$	−22.6551	−	4.81548i	−0.871994	−	0.185348i
$676$	83.8241	−	93.0961i	3.22400	−	3.58062i
$677$	9.34109	−	10.3743i	0.359007	−	0.398718i	−0.536401	−	0.843963i	$-0.680217\pi$
$677$	9.34109	−	10.3743i	0.359007	−	0.398718i	0.895409	+	0.445245i	$0.146883\pi$
$678$	1.08033	+	0.480996i	0.0414900	+	0.0184725i
$679$	−2.65092	+	8.15871i	−0.101733	+	0.313102i
$680$	−5.34502	−	16.4503i	−0.204972	−	0.630839i
$681$	6.53879	+	7.26206i	0.250567	+	0.278283i
$682$	29.9574			1.14713
$683$	28.7078	+	31.8833i	1.09847	+	1.21998i	0.973710	+	0.227792i	$0.0731507\pi$
$683$	28.7078	+	31.8833i	1.09847	+	1.21998i	0.124764	+	0.992186i	$0.460183\pi$
$684$	−7.68379	−	13.3087i	−0.293797	−	0.508871i
$685$	−16.3230	+	28.2723i	−0.623670	+	1.08023i
$686$	−45.1898	+	9.60539i	−1.72536	+	0.366736i
$687$	−31.9357	−	14.2187i	−1.21842	−	0.542477i
$688$	34.2547	+	7.28107i	1.30595	+	0.277588i
$689$	40.5340	−	8.61576i	1.54422	−	0.328235i
$690$	29.0415	−	12.9301i	1.10559	−	0.492242i
$691$	29.6439	−	21.5376i	1.12771	−	0.819328i	0.142349	−	0.989817i	$-0.454535\pi$
$691$	29.6439	−	21.5376i	1.12771	−	0.819328i	0.985360	+	0.170488i	$0.0545345\pi$
$692$	−12.9961	−	22.5100i	−0.494039	−	0.855700i
$693$	0.903873	−	8.59977i	0.0343353	−	0.326678i
$694$	−6.59366	−	20.2932i	−0.250292	−	0.770319i
$695$	45.2922	−	32.9067i	1.71803	−	1.24822i
$696$	2.01817	+	19.2016i	0.0764984	+	0.727834i
$697$	9.71888	−	4.32712i	0.368129	−	0.163901i
$698$	12.6325	−	38.8787i	0.478146	−	1.47158i
$699$	15.7162	+	11.4185i	0.594443	+	0.431888i
$700$	23.2450	−	40.2615i	0.878578	−	1.52174i
$701$	−3.21770	−	30.6143i	−0.121531	−	1.15629i	−0.869977	−	0.493092i	$-0.835867\pi$
$701$	−3.21770	−	30.6143i	−0.121531	−	1.15629i	0.748446	−	0.663195i	$-0.230800\pi$
$702$	9.61138	+	91.4461i	0.362758	+	3.45141i
$703$	10.9573	−	18.9787i	0.413264	−	0.715793i
$704$	−9.59659	−	6.97233i	−0.361685	−	0.262780i
$705$	0.235315	−	0.724227i	0.00886249	−	0.0272759i
$706$	−5.32149	+	2.36928i	−0.200277	+	0.0891690i
$707$	1.17030	+	11.1347i	0.0440137	+	0.418762i
$708$	19.0698	−	13.8550i	0.716688	−	0.520705i
$709$	−7.33891	−	22.5869i	−0.275619	−	0.848267i	−0.989055	−	0.147547i	$-0.952862\pi$
$709$	−7.33891	−	22.5869i	−0.275619	−	0.848267i	0.713436	−	0.700720i	$-0.247138\pi$
$710$	−4.97412	+	47.3256i	−0.186676	+	1.77610i
$711$	6.87489	+	11.9077i	0.257829	+	0.446572i
$712$	−39.8659	+	28.9643i	−1.49404	+	1.08548i
$713$	12.0324	−	5.35717i	0.450617	−	0.200628i
$714$	8.91761	−	1.89550i	0.333733	−	0.0709372i
$715$	−54.0994	−	11.4992i	−2.02320	−	0.430045i
$716$	−48.7196	−	21.6914i	−1.82074	−	0.810645i
$717$	−35.7308	+	7.59482i	−1.33439	+	0.283634i
$718$	−29.6970	+	51.4367i	−1.10828	+	1.91960i
$719$	−3.08994	−	5.35193i	−0.115235	−	0.199593i	0.802638	−	0.596466i	$-0.203429\pi$
$719$	−3.08994	−	5.35193i	−0.115235	−	0.199593i	−0.917874	+	0.396872i	$0.870096\pi$
$720$	−13.2413	−	14.7060i	−0.493475	−	0.548060i
$721$	−21.1629			−0.788146
$722$	−15.5778	−	17.3009i	−0.579746	−	0.643873i
$723$	3.46896	+	10.6764i	0.129012	+	0.397058i
$724$	−8.31094	+	25.5785i	−0.308874	+	0.950616i
$725$	9.39561	+	4.18320i	0.348944	+	0.155360i
$726$	6.97789	−	7.74973i	0.258974	−	0.287619i
$727$	11.6891	−	12.9820i	0.433524	−	0.481477i	−0.486309	−	0.873787i	$-0.661657\pi$
$727$	11.6891	−	12.9820i	0.433524	−	0.481477i	0.919833	+	0.392310i	$0.128324\pi$
$728$	−95.9079	−	20.3859i	−3.55458	−	0.755550i
$729$	−22.5208	−	16.3623i	−0.834103	−	0.606011i
$730$	0.741570	−	7.05557i	0.0274467	−	0.261138i
$731$	6.23846			0.230738
$732$	39.8546	−	21.4206i	1.47307	−	0.791727i
$733$	−35.3097			−1.30419			−0.652097	−	0.758135i	$-0.726111\pi$
$733$	−35.3097			−1.30419			−0.652097	+	0.758135i	$0.726111\pi$
$734$	−3.67819	+	34.9957i	−0.135765	+	1.29171i
$735$	0.161761	+	0.117526i	0.00596665	+	0.00433502i
$736$	8.63656	+	1.83576i	0.318348	+	0.0676669i
$737$	1.56906	−	1.74262i	0.0577971	−	0.0641902i
$738$	20.3987	−	22.6550i	0.750886	−	0.833943i
$739$	29.5579	+	13.1600i	1.08731	+	0.484100i	0.870527	−	0.492121i	$-0.163778\pi$
$739$	29.5579	+	13.1600i	1.08731	+	0.484100i	0.216779	+	0.976221i	$0.430445\pi$
$740$	27.9921	−	86.1509i	1.02901	−	3.16697i
$741$	−8.50513	−	26.1761i	−0.312444	−	0.961604i
$742$	−28.3153	−	31.4473i	−1.03949	−	1.15447i
$743$	−25.9087			−0.950497			−0.475248	−	0.879852i	$-0.657642\pi$
$743$	−25.9087			−0.950497			−0.475248	+	0.879852i	$0.657642\pi$
$744$	21.9051	+	24.3281i	0.803081	+	0.891912i
$745$	5.20441	+	9.01430i	0.190675	+	0.330258i
$746$	−44.2082	+	76.5709i	−1.61858	+	2.80346i
$747$	5.60522	−	1.19143i	0.205084	−	0.0435920i
$748$	11.0905	+	4.93779i	0.405507	+	0.180543i
$749$	−21.8324	−	4.64063i	−0.797740	−	0.169565i
$750$	−8.98795	+	1.91045i	−0.328193	+	0.0697597i
$751$	28.3998	−	12.6444i	1.03632	−	0.461402i	0.183182	−	0.983079i	$-0.441360\pi$
$751$	28.3998	−	12.6444i	1.03632	−	0.461402i	0.853143	+	0.521678i	$0.174694\pi$
$752$	0.852823	−	0.619612i	0.0310993	−	0.0225949i
$753$	−19.7495	−	34.2071i	−0.719710	−	1.24657i
$754$	4.26795	−	40.6069i	0.155430	−	1.47881i
$755$	−0.435447	−	1.34017i	−0.0158475	−	0.0487737i
$756$	51.7197	−	37.5766i	1.88103	−	1.36665i
$757$	0.710198	+	6.75708i	0.0258126	+	0.245590i	0.999818	+	0.0190665i	$0.00606942\pi$
$757$	0.710198	+	6.75708i	0.0258126	+	0.245590i	−0.974006	+	0.226524i	$0.927264\pi$
$758$	−6.52493	+	2.90508i	−0.236996	+	0.105517i
$759$	−3.66290	+	11.2733i	−0.132955	+	0.409193i
$760$	43.1394	+	31.3426i	1.56483	+	1.13692i
$761$	−6.86043	+	11.8826i	−0.248690	+	0.430744i	−0.963163	−	0.268919i	$-0.913333\pi$
$761$	−6.86043	+	11.8826i	−0.248690	+	0.430744i	0.714472	+	0.699664i	$0.246667\pi$
$762$	−1.94527	−	18.5080i	−0.0704695	−	0.670473i
$763$	1.47280	+	14.0127i	0.0533189	+	0.507295i
$764$	−51.9224	+	89.9323i	−1.87849	+	3.25363i
$765$	−2.85193	−	2.07205i	−0.103112	−	0.0749152i
$766$	13.4547	−	41.4094i	0.486139	−	1.49618i
$767$	−24.1926	+	10.7712i	−0.873545	+	0.388927i
$768$	−4.57454	−	43.5239i	−0.165070	−	1.57053i
$769$	20.6882	−	15.0309i	0.746037	−	0.542027i	−0.148559	−	0.988904i	$-0.547464\pi$
$769$	20.6882	−	15.0309i	0.746037	−	0.542027i	0.894596	+	0.446876i	$0.147464\pi$
$770$	17.4528	+	53.7142i	0.628955	+	1.93573i
$771$	−0.262878	+	2.50112i	−0.00946733	+	0.0900756i
$772$	40.3367	+	69.8652i	1.45175	+	2.51450i
$773$	−21.6539	+	15.7325i	−0.778838	+	0.565859i	−0.904630	−	0.426198i	$-0.859853\pi$
$773$	−21.6539	+	15.7325i	−0.778838	+	0.565859i	0.125792	+	0.992057i	$0.459853\pi$
$774$	16.3310	−	7.27103i	0.587006	−	0.261352i
$775$	17.0574	−	3.62565i	0.612718	−	0.130237i
$776$	−17.9338	−	3.81194i	−0.643786	−	0.136841i
$777$	23.1719	+	10.3168i	0.831287	+	0.370113i
$778$	65.1600	−	13.8502i	2.33610	−	0.496553i
$779$	−16.3986	+	28.4031i	−0.587539	+	1.01765i
$780$	−56.8836	−	98.5254i	−2.03676	−	3.52777i
$781$	−11.8726	−	13.1859i	−0.424835	−	0.471828i
$782$	7.83942			0.280337
$783$	9.46336	+	10.5101i	0.338193	+	0.375601i
$784$	0.0855327	+	0.263243i	0.00305474	+	0.00940152i
$785$	10.4005	−	32.0095i	0.371211	−	1.14247i
$786$	40.4844	+	18.0248i	1.44403	+	0.642924i
$787$	−26.4964	+	29.4272i	−0.944494	+	1.04897i	0.0542332	+	0.998528i	$0.482729\pi$
$787$	−26.4964	+	29.4272i	−0.944494	+	1.04897i	−0.998727	+	0.0504385i	$0.983938\pi$
$788$	44.0957	−	48.9733i	1.57085	−	1.74460i
$789$	−19.0879	−	4.05727i	−0.679549	−	0.144443i
$790$	−72.6547	−	52.7868i	−2.58494	−	1.87807i
$791$	−0.0965547	+	0.918657i	−0.00343309	+	0.0326637i
$792$	18.4810			0.656693
$793$	−48.8007	+	14.2302i	−1.73296	+	0.505329i
$794$	25.3096			0.898205
$795$	2.72654	−	25.9413i	0.0967005	−	0.920044i
$796$	−6.26853	−	4.55435i	−0.222182	−	0.161425i
$797$	28.6305	+	6.08560i	1.01414	+	0.215563i	0.684865	−	0.728670i	$-0.259861\pi$
$797$	28.6305	+	6.08560i	1.01414	+	0.215563i	0.329279	+	0.944233i	$0.393194\pi$
$798$	−18.8064	+	20.8866i	−0.665738	+	0.739377i
$799$	0.125653	−	0.139552i	0.00444529	−	0.00493700i
$800$	10.6795	+	4.75483i	0.377578	+	0.168109i
$801$	−3.10343	+	9.55137i	−0.109654	+	0.337481i
$802$	22.8597	+	70.3549i	0.807203	+	2.48432i
$803$	1.77003	+	1.96582i	0.0624632	+	0.0693724i
$804$	4.82346			0.170110
$805$	16.6154	+	18.4533i	0.585617	+	0.650393i
$806$	−34.6152	−	59.9554i	−1.21927	−	2.11184i
$807$	7.69278	−	13.3243i	0.270799	−	0.469037i
$808$	−23.4056	+	4.97502i	−0.823407	+	0.175021i
$809$	−47.5670	−	21.1782i	−1.67237	−	0.744585i	−0.999990	−	0.00437461i	$-0.998608\pi$
$809$	−47.5670	−	21.1782i	−1.67237	−	0.744585i	−0.672375	−	0.740211i	$-0.734726\pi$
$810$	30.9810	+	6.58521i	1.08856	+	0.231381i
$811$	36.7646	−	7.81455i	1.29098	−	0.274406i	0.489276	−	0.872129i	$-0.337261\pi$
$811$	36.7646	−	7.81455i	1.29098	−	0.274406i	0.801703	+	0.597723i	$0.203928\pi$
$812$	−25.9336	+	11.5464i	−0.910091	+	0.405199i
$813$	−21.3312	+	15.4980i	−0.748119	+	0.543540i
$814$	24.8041	+	42.9620i	0.869384	+	1.50582i
$815$	7.18761	−	68.3855i	0.251771	−	2.39544i
$816$	2.40396	+	7.39864i	0.0841555	+	0.259004i
$817$	−15.5591	+	11.3044i	−0.544344	+	0.395489i
$818$	−4.78863	−	45.5608i	−0.167431	−	1.59300i
$819$	−18.2556	+	8.12790i	−0.637901	+	0.284012i
$820$	−41.8925	+	128.932i	−1.46295	+	4.50250i
$821$	34.7911	+	25.2772i	1.21422	+	0.882182i	0.995607	−	0.0936298i	$-0.0298470\pi$
$821$	34.7911	+	25.2772i	1.21422	+	0.882182i	0.218612	+	0.975812i	$0.429847\pi$
$822$	18.3878	−	31.8486i	0.641348	−	1.11085i
$823$	−3.83087	−	36.4483i	−0.133536	−	1.27051i	−0.831965	−	0.554829i	$-0.812784\pi$
$823$	−3.83087	−	36.4483i	−0.133536	−	1.27051i	0.698429	−	0.715680i	$-0.253883\pi$
$824$	−4.72783	−	44.9823i	−0.164702	−	1.56703i
$825$	−7.84690	+	13.5912i	−0.273194	+	0.473186i
$826$	21.8779	+	15.8952i	0.761229	+	0.553065i
$827$	12.3793	−	38.0995i	0.430470	−	1.32485i	−0.467188	−	0.884158i	$-0.654733\pi$
$827$	12.3793	−	38.0995i	0.430470	−	1.32485i	0.897658	−	0.440693i	$-0.145267\pi$
$828$	13.9724	−	6.22093i	0.485576	−	0.216192i
$829$	−0.862470	−	8.20585i	−0.0299548	−	0.285001i	−0.999237	−	0.0390507i	$-0.987567\pi$
$829$	−0.862470	−	8.20585i	−0.0299548	−	0.285001i	0.969282	−	0.245950i	$-0.0791000\pi$
$830$	−30.2800	+	21.9997i	−1.05104	+	0.763622i
$831$	13.7081	+	42.1893i	0.475530	+	1.46353i
$832$	−2.86541	+	27.2625i	−0.0993401	+	0.945158i
$833$	0.0246536	+	0.0427014i	0.000854198	+	0.00147951i
$834$	−51.0215	+	37.0693i	−1.76673	+	1.28361i
$835$	−11.4083	+	5.07932i	−0.394802	+	0.175777i
$836$	−36.6078	+	7.78122i	−1.26611	+	0.269119i
$837$	23.4558	+	4.98569i	0.810752	+	0.172331i
$838$	56.8738	+	25.3218i	1.96467	+	0.874729i
$839$	34.4495	−	7.32246i	1.18933	−	0.252800i	0.429587	−	0.903025i	$-0.358659\pi$
$839$	34.4495	−	7.32246i	1.18933	−	0.252800i	0.759741	+	0.650226i	$0.225326\pi$
$840$	−30.8591	+	53.4495i	−1.06474	+	1.84418i
$841$	11.3599	+	19.6760i	0.391722	+	0.678482i
$842$	16.6426	+	18.4835i	0.573543	+	0.636984i
$843$	−0.00136315			−4.69495e−5
$844$	14.0349	+	15.5873i	0.483101	+	0.536538i
$845$	27.3758	+	84.2540i	0.941756	+	2.89843i
$846$	0.166284	−	0.511769i	0.00571696	−	0.0175950i
$847$	7.44139	+	3.31312i	0.255689	+	0.113840i
$848$	24.1614	−	26.8339i	0.829706	−	0.921482i
$849$	22.8824	−	25.4135i	0.785322	−	0.872188i
$850$	10.1525	+	2.15798i	0.348228	+	0.0740182i
$851$	17.6453	+	12.8201i	0.604873	+	0.439466i
$852$	3.81504	−	36.2977i	0.130701	−	1.24354i
$853$	−53.0410			−1.81609			−0.908045	−	0.418872i	$-0.862426\pi$
$853$	−53.0410			−1.81609			−0.908045	+	0.418872i	$0.862426\pi$
$854$	37.5012	+	35.8914i	1.28327	+	1.22818i
$855$	10.8675			0.371662
$856$	4.98638	−	47.4422i	0.170431	−	1.62154i
$857$	−24.0151	−	17.4480i	−0.820340	−	0.596012i	0.0964702	−	0.995336i	$-0.469245\pi$
$857$	−24.0151	−	17.4480i	−0.820340	−	0.596012i	−0.916810	+	0.399324i	$0.869245\pi$
$858$	60.9428	+	12.9538i	2.08055	+	0.442235i
$859$	30.7976	−	34.2042i	1.05080	−	1.16703i	0.0652131	−	0.997871i	$-0.479227\pi$
$859$	30.7976	−	34.2042i	1.05080	−	1.16703i	0.985588	−	0.169162i	$-0.0541061\pi$
$860$	−53.1933	+	59.0771i	−1.81388	+	2.01451i
$861$	−34.6787	−	15.4399i	−1.18185	−	0.526192i
$862$	19.2872	−	59.3600i	0.656926	−	2.02181i
$863$	−13.3450	−	41.0716i	−0.454268	−	1.39809i	−0.871993	−	0.489519i	$-0.837172\pi$
$863$	−13.3450	−	41.0716i	−0.454268	−	1.39809i	0.417725	−	0.908574i	$-0.362828\pi$
$864$	10.7565	+	11.9463i	0.365944	+	0.406422i
$865$	18.3810			0.624974
$866$	−15.4213	−	17.1271i	−0.524039	−	0.582004i
$867$	−10.8482	−	18.7896i	−0.368423	−	0.638128i
$868$	−24.0666	+	41.6846i	−0.816874	+	1.41487i
$869$	32.7540	−	6.96207i	1.11110	−	0.236172i
$870$	−23.4789	−	10.4535i	−0.796010	−	0.354406i
$871$	−5.30061	−	1.12668i	−0.179604	−	0.0381761i
$872$	−29.4555	+	6.26095i	−0.997488	+	0.212023i
$873$	−3.41360	+	1.51983i	−0.115533	+	0.0514386i
$874$	−19.5520	+	14.2054i	−0.661357	+	0.480504i
$875$	−3.58870	−	6.21581i	−0.121320	−	0.210133i
$876$	−0.568767	+	5.41146i	−0.0192169	+	0.182836i
$877$	11.1781	+	34.4026i	0.377457	+	1.16169i	0.941806	+	0.336158i	$0.109127\pi$
$877$	11.1781	+	34.4026i	0.377457	+	1.16169i	−0.564348	+	0.825537i	$0.690873\pi$
$878$	−10.3556	+	7.52377i	−0.349484	+	0.253915i
$879$	−2.59321	−	24.6727i	−0.0874668	−	0.832191i
$880$	−44.0265	+	19.6019i	−1.48413	+	0.660779i
$881$	−16.9600	+	52.1974i	−0.571396	+	1.75858i	0.0767395	+	0.997051i	$0.475549\pi$
$881$	−16.9600	+	52.1974i	−0.571396	+	1.75858i	−0.648136	+	0.761525i	$0.724451\pi$
$882$	0.114307	+	0.0830491i	0.00384893	+	0.00279641i
$883$	4.78399	−	8.28612i	0.160994	−	0.278850i	−0.774231	−	0.632903i	$-0.781863\pi$
$883$	4.78399	−	8.28612i	0.160994	−	0.278850i	0.935226	+	0.354053i	$0.115197\pi$
$884$	−2.93256	−	27.9014i	−0.0986326	−	0.938426i
$885$	1.74241	+	16.5779i	0.0585704	+	0.557260i
$886$	−45.2754	+	78.4193i	−1.52106	+	2.63455i
$887$	18.4392	+	13.3969i	0.619128	+	0.449823i	0.852617	−	0.522537i	$-0.175014\pi$
$887$	18.4392	+	13.3969i	0.619128	+	0.449823i	−0.233489	+	0.972359i	$0.575014\pi$
$888$	−16.7520	+	51.5573i	−0.562160	+	1.73015i
$889$	13.2796	−	5.91246i	0.445384	−	0.198298i
$890$	−6.85653	−	65.2355i	−0.229831	−	2.18670i
$891$	−9.55437	+	6.94165i	−0.320083	+	0.232554i
$892$	−22.5577	−	69.4255i	−0.755288	−	2.32454i
$893$	−0.0605128	+	0.575740i	−0.00202498	+	0.0192664i
$894$	−5.86275	−	10.1546i	−0.196080	−	0.339620i
$895$	30.5111	−	22.1676i	1.01987	−	0.740981i
$896$	39.3902	−	17.5376i	1.31593	−	0.585892i
$897$	26.7942	−	5.69527i	0.894631	−	0.190160i
$898$	−19.7164	−	4.19085i	−0.657944	−	0.139850i
$899$	−9.72772	−	4.33106i	−0.324438	−	0.144449i
$900$	19.8076	−	4.21023i	0.660253	−	0.140341i
$901$	3.21620	−	5.57061i	0.107147	−	0.185584i
$902$	−37.1214	−	64.2962i	−1.23601	−	2.14083i
$903$	−14.8948	−	16.5423i	−0.495668	−	0.550495i
$904$	−1.97420			−0.0656610
$905$	−12.7264	−	14.1341i	−0.423039	−	0.469833i
$906$	0.490530	+	1.50970i	0.0162968	+	0.0501563i
$907$	−10.2039	+	31.4045i	−0.338816	+	1.04277i	0.625996	+	0.779827i	$0.284693\pi$
$907$	−10.2039	+	31.4045i	−0.338816	+	1.04277i	−0.964812	+	0.262942i	$0.915307\pi$
$908$	−28.0530	−	12.4900i	−0.930972	−	0.414496i
$909$	−3.26319	+	3.62414i	−0.108233	+	0.120205i
$910$	87.3346	−	96.9949i	2.89511	−	3.21535i
$911$	21.7634	+	4.62594i	0.721052	+	0.153264i	0.553800	−	0.832650i	$-0.313177\pi$
$911$	21.7634	+	4.62594i	0.721052	+	0.153264i	0.167252	+	0.985914i	$0.446511\pi$
$912$	−19.4023	−	14.0966i	−0.642473	−	0.466784i
$913$	1.45877	−	13.8793i	0.0482782	−	0.459336i
$914$	−2.07725			−0.0687092
$915$	−0.973464	+	31.9822i	−0.0321817	+	1.05730i
$916$	109.852			3.62962
$917$	−3.61829	+	34.4257i	−0.119486	+	1.13684i
$918$	11.5469	+	8.38933i	0.381105	+	0.276889i
$919$	10.2169	+	2.17168i	0.337026	+	0.0716371i	0.373316	−	0.927704i	$-0.378221\pi$
$919$	10.2169	+	2.17168i	0.337026	+	0.0716371i	−0.0362901	+	0.999341i	$0.511554\pi$
$920$	−35.5111	+	39.4391i	−1.17077	+	1.30027i
$921$	17.4965	−	19.4318i	0.576529	−	0.640300i
$922$	−78.8598	−	35.1106i	−2.59711	−	1.15631i
$923$	−12.6710	+	38.9973i	−0.417071	+	1.28361i
$924$	−13.3859	−	41.1976i	−0.440364	−	1.35530i
$925$	19.3227	+	21.4600i	0.635326	+	0.705601i
$926$	−36.3682			−1.19513
$927$	−6.16813	−	6.85040i	−0.202588	−	0.224997i
$928$	−3.56915	−	6.18195i	−0.117163	−	0.202933i
$929$	1.39703	−	2.41972i	0.0458350	−	0.0793885i	−0.842198	−	0.539169i	$-0.818738\pi$
$929$	1.39703	−	2.41972i	0.0458350	−	0.0793885i	0.888033	+	0.459780i	$0.152072\pi$
$930$	−42.6250	+	9.06023i	−1.39773	+	0.297097i
$931$	−0.138864	−	0.0618264i	−0.00455110	−	0.00202628i
$932$	−59.7116	−	12.6921i	−1.95592	−	0.415743i
$933$	−0.904324	+	0.192220i	−0.0296062	+	0.00629300i
$934$	9.65567	−	4.29898i	0.315943	−	0.140667i
$935$	−6.94549	+	5.04620i	−0.227142	+	0.165028i
$936$	−21.3544	−	36.9870i	−0.697991	−	1.20896i
$937$	−5.30312	+	50.4558i	−0.173245	+	1.64832i	0.470004	+	0.882664i	$0.344252\pi$
$937$	−5.30312	+	50.4558i	−0.173245	+	1.64832i	−0.643250	+	0.765656i	$0.722414\pi$
$938$	1.71001	+	5.26287i	0.0558338	+	0.171839i
$939$	−19.6951	+	14.3094i	−0.642727	+	0.466968i
$940$	0.250130	+	2.37983i	0.00815834	+	0.0776214i
$941$	19.8676	−	8.84565i	0.647667	−	0.288360i	−0.0564913	−	0.998403i	$-0.517991\pi$
$941$	19.8676	−	8.84565i	0.647667	−	0.288360i	0.704158	+	0.710043i	$0.251325\pi$
$942$	−11.7162	+	36.0586i	−0.381733	+	1.17485i
$943$	−26.4077	−	19.1863i	−0.859952	−	0.624792i
$944$	−11.5377	+	19.9839i	−0.375520	+	0.650419i
$945$	4.72563	+	44.9613i	0.153725	+	1.46259i
$946$	−4.55073	−	43.2973i	−0.147957	−	1.40772i
$947$	−16.8117	+	29.1188i	−0.546308	+	0.946232i	0.452216	+	0.891909i	$0.350634\pi$
$947$	−16.8117	+	29.1188i	−0.546308	+	0.946232i	−0.998523	+	0.0543239i	$0.982700\pi$
$948$	55.7246	+	40.4863i	1.80985	+	1.31493i
$949$	1.88906	−	5.81393i	0.0613215	−	0.188728i
$950$	−29.2314	+	13.0146i	−0.948390	+	0.422251i
$951$	3.52591	+	33.5468i	0.114335	+	1.08783i
$952$	−12.3130	+	8.94595i	−0.399068	+	0.289940i
$953$	6.44518	+	19.8362i	0.208780	+	0.642559i	0.999537	+	0.0304284i	$0.00968716\pi$
$953$	6.44518	+	19.8362i	0.208780	+	0.642559i	−0.790757	+	0.612130i	$0.790313\pi$
$954$	1.92669	−	18.3312i	0.0623789	−	0.593496i
$955$	−36.7182	−	63.5977i	−1.18817	−	2.05797i
$956$	92.8665	−	67.4715i	3.00352	−	2.18218i
$957$	8.75450	−	3.89776i	0.282993	−	0.125997i
$958$	92.3800	−	19.6360i	2.98466	−	0.634410i
$959$	28.0980	+	5.97241i	0.907331	+	0.192859i
$960$	15.7632	+	7.01824i	0.508756	+	0.226513i
$961$	12.6623	−	2.69146i	0.408461	−	0.0868212i
$962$	57.3214	−	99.2835i	1.84812	−	3.20103i
$963$	−4.86111	−	8.41970i	−0.156647	−	0.271321i
$964$	−23.6043	−	26.2152i	−0.760242	−	0.844335i
$965$	−57.0501			−1.83651
$966$	−18.7172	−	20.7876i	−0.602217	−	0.668829i
$967$	−9.54730	−	29.3836i	−0.307020	−	0.944912i	−0.978916	−	0.204265i	$-0.934519\pi$
$967$	−9.54730	−	29.3836i	−0.307020	−	0.944912i	0.671895	−	0.740646i	$-0.265481\pi$
$968$	−5.37971	+	16.5571i	−0.172911	+	0.532164i
$969$	−3.90289	−	1.73768i	−0.125379	−	0.0558223i
$970$	16.3307	−	18.1370i	0.524346	−	0.582346i
$971$	−9.45208	+	10.4976i	−0.303332	+	0.336884i	−0.875469	−	0.483274i	$-0.839448\pi$
$971$	−9.45208	+	10.4976i	−0.303332	+	0.336884i	0.572138	+	0.820158i	$0.306114\pi$
$972$	46.8971	+	9.96829i	1.50423	+	0.319733i
$973$	−39.8533	−	28.9551i	−1.27764	−	0.928259i
$974$	−3.44138	+	32.7425i	−0.110269	+	1.04914i
$975$	36.2677			1.16150
$976$	−27.1134	+	35.0258i	−0.867879	+	1.12115i
$977$	20.7190			0.662859			0.331429	−	0.943480i	$-0.392469\pi$
$977$	20.7190			0.662859			0.331429	+	0.943480i	$0.392469\pi$
$978$	−8.09682	+	77.0361i	−0.258908	+	2.46334i
$979$	19.7870	+	14.3761i	0.632396	+	0.459463i
$980$	−0.614587	−	0.130635i	−0.0196323	−	0.00417297i
$981$	−4.10665	+	4.56089i	−0.131115	+	0.145618i
$982$	5.91181	−	6.56573i	0.188653	−	0.209521i
$983$	43.1721	+	19.2214i	1.37698	+	0.613069i	0.955829	−	0.293924i	$-0.0949611\pi$
$983$	43.1721	+	19.2214i	1.37698	+	0.613069i	0.421147	+	0.906993i	$0.361628\pi$
$984$	25.0707	−	77.1598i	0.799226	−	2.45976i
$985$	14.4011	+	44.3219i	0.458856	+	1.41221i
$986$	−4.24086	−	4.70995i	−0.135056	−	0.149995i
$987$	−0.670053			−0.0213280
$988$	57.8725	+	64.2740i	1.84117	+	2.04483i
$989$	−9.57048	−	16.5766i	−0.304324	−	0.527104i
$990$	−12.3004	+	21.3050i	−0.390934	+	0.677117i
$991$	−41.4537	+	8.81126i	−1.31682	+	0.279899i	−0.812168	−	0.583424i	$-0.801713\pi$
$991$	−41.4537	+	8.81126i	−1.31682	+	0.279899i	−0.504653	+	0.863322i	$0.668379\pi$
$992$	−11.0570	−	4.92289i	−0.351060	−	0.156302i
$993$	−33.0005	−	7.01448i	−1.04724	−	0.222598i
$994$	40.9569	−	8.70566i	1.29907	−	0.276127i
$995$	5.00569	−	2.22868i	0.158691	−	0.0706539i
$996$	23.2241	−	16.8733i	0.735884	−	0.534651i
$997$	−5.76240	−	9.98077i	−0.182497	−	0.316094i	0.760233	−	0.649650i	$-0.225085\pi$
$997$	−5.76240	−	9.98077i	−0.182497	−	0.316094i	−0.942730	+	0.333556i	$0.891751\pi$
$998$	4.64285	−	44.1737i	0.146967	−	1.39830i
$999$	12.2709	+	37.7661i	0.388236	+	1.19487i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	61.2.i.a.57.1	yes	32
3.2	odd	2		549.2.bl.b.118.4		32
4.3	odd	2		976.2.bw.c.545.1		32
61.15	even	15	inner	61.2.i.a.15.1	✓	32
61.25	even	15		3721.2.a.j.1.16		16
61.36	even	30		3721.2.a.l.1.1		16
183.137	odd	30		549.2.bl.b.442.4		32
244.15	odd	30		976.2.bw.c.625.1		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
61.2.i.a.15.1	✓	32	61.15	even	15	inner
61.2.i.a.57.1	yes	32	1.1	even	1	trivial
549.2.bl.b.118.4		32	3.2	odd	2
549.2.bl.b.442.4		32	183.137	odd	30
976.2.bw.c.545.1		32	4.3	odd	2
976.2.bw.c.625.1		32	244.15	odd	30
3721.2.a.j.1.16		16	61.25	even	15
3721.2.a.l.1.1		16	61.36	even	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 61 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	61.i (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.261670 + 2.48962i) q^{2} +(1.09846 + 0.798080i) q^{3} +(-4.17345 - 0.887094i) q^{4} +(2.01896 - 2.24228i) q^{5} +(-2.27435 + 2.52592i) q^{6} +(-2.42543 - 1.07987i) q^{7} +(1.75345 - 5.39656i) q^{8} +(-0.357362 - 1.09985i) q^{9} +(5.05413 + 5.61318i) q^{10} -2.81637 q^{11} +(-3.87641 - 4.30519i) q^{12} +(3.25426 + 5.63654i) q^{13} +(3.32313 - 5.75582i) q^{14} +(4.00727 - 0.851773i) q^{15} +(5.18094 + 2.30670i) q^{16} +(0.988198 + 0.210048i) q^{17} +(2.83171 - 0.601899i) q^{18} +(-2.84524 + 1.26678i) q^{19} +(-10.4151 + 7.56704i) q^{20} +(-1.80242 - 3.12188i) q^{21} +(0.736958 - 7.01169i) q^{22} +(-0.957874 - 2.94803i) q^{23} +(6.23298 - 4.52853i) q^{24} +(-0.428988 - 4.08155i) q^{25} +(-14.8844 + 6.62696i) q^{26} +(1.74394 - 5.36731i) q^{27} +(9.16444 + 6.65836i) q^{28} +(-1.25301 + 2.17028i) q^{29} +(1.07201 + 10.1995i) q^{30} +(0.444151 + 4.22582i) q^{31} +(-1.42423 + 2.46684i) q^{32} +(-3.09368 - 2.24769i) q^{33} +(-0.781521 + 2.40527i) q^{34} +(-7.31821 + 3.25828i) q^{35} +(0.515764 + 4.90717i) q^{36} +(-5.69250 + 4.13585i) q^{37} +(-2.40930 - 7.41505i) q^{38} +(-0.923728 + 8.78869i) q^{39} +(-8.56046 - 14.8272i) q^{40} +(8.51930 - 6.18964i) q^{41} +(8.24394 - 3.67044i) q^{42} +(6.04008 - 1.28386i) q^{43} +(11.7540 + 2.49838i) q^{44} +(-3.18766 - 1.41924i) q^{45} +(7.59013 - 1.61333i) q^{46} +(0.0929380 - 0.160973i) q^{47} +(3.85013 + 6.66863i) q^{48} +(0.0326575 + 0.0362698i) q^{49} +10.2738 q^{50} +(0.917864 + 1.01939i) q^{51} +(-8.58134 - 26.4106i) q^{52} +(1.96750 - 6.05535i) q^{53} +(12.9062 + 5.74622i) q^{54} +(-5.68613 + 6.31509i) q^{55} +(-10.0804 + 11.1955i) q^{56} +(-4.13639 - 0.879216i) q^{57} +(-5.07529 - 3.68741i) q^{58} +(-0.425310 + 4.04655i) q^{59} -17.4798 q^{60} +(-1.85551 + 7.58664i) q^{61} -10.6369 q^{62} +(-0.320936 + 3.05350i) q^{63} +(3.40743 + 2.47565i) q^{64} +(19.2089 + 4.08298i) q^{65} +(6.40541 - 7.11393i) q^{66} +(-0.557122 + 0.618747i) q^{67} +(-3.93786 - 1.75325i) q^{68} +(1.30058 - 4.00276i) q^{69} +(-6.19692 - 19.0722i) q^{70} +(4.21558 + 4.68187i) q^{71} -6.56200 q^{72} +(-0.628481 - 0.697999i) q^{73} +(-8.80714 - 15.2544i) q^{74} +(2.78618 - 4.82580i) q^{75} +(12.9982 - 2.76286i) q^{76} +(6.83089 + 3.04131i) q^{77} +(-21.6388 - 4.59947i) q^{78} +(-11.6299 + 2.47200i) q^{79} +(15.6324 - 6.95998i) q^{80} +(3.39244 - 2.46475i) q^{81} +(13.1806 + 22.8295i) q^{82} +(-0.517961 + 4.92807i) q^{83} +(4.75290 + 14.6279i) q^{84} +(2.46612 - 1.79174i) q^{85} +(1.61581 + 15.3735i) q^{86} +(-3.10844 + 1.38397i) q^{87} +(-4.93835 + 15.1987i) q^{88} +(-7.02573 - 5.10449i) q^{89} +(4.36749 - 7.56471i) q^{90} +(-1.80624 - 17.1852i) q^{91} +(1.38246 + 13.1532i) q^{92} +(-2.88466 + 4.99637i) q^{93} +(0.376444 + 0.273502i) q^{94} +(-2.90394 + 8.93742i) q^{95} +(-3.53320 + 1.57308i) q^{96} +(-0.337747 - 3.21345i) q^{97} +(-0.0988435 + 0.0718140i) q^{98} +(1.00646 + 3.09757i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 10 q^{2} - 4 q^{3} - 10 q^{4} + 2 q^{5} + q^{6} + q^{7} - 4 q^{8} - 2 q^{9} + 15 q^{10} - 18 q^{11} - 53 q^{12} + 11 q^{14} + 2 q^{15} + 6 q^{16} - 24 q^{17} - 15 q^{18} + 9 q^{19} - 4 q^{20} - 3 q^{21}+ \cdots - 31 q^{99}+O(q^{100}) \) 32 * q - 10 * q^2 - 4 * q^3 - 10 * q^4 + 2 * q^5 + q^6 + q^7 - 4 * q^8 - 2 * q^9 + 15 * q^10 - 18 * q^11 - 53 * q^12 + 11 * q^14 + 2 * q^15 + 6 * q^16 - 24 * q^17 - 15 * q^18 + 9 * q^19 - 4 * q^20 - 3 * q^21 + q^22 - 2 * q^23 + 15 * q^24 + 28 * q^25 + 16 * q^26 + 35 * q^27 + 4 * q^28 - 4 * q^29 + 54 * q^30 - 11 * q^31 + 34 * q^32 - 35 * q^33 + 18 * q^34 - 58 * q^35 + 65 * q^36 - 14 * q^37 - 24 * q^38 + 17 * q^39 - 60 * q^40 + 11 * q^41 + 73 * q^42 + 40 * q^43 + 29 * q^44 + 12 * q^45 - 89 * q^46 + 40 * q^47 + 43 * q^48 + q^49 - 56 * q^50 - 9 * q^51 - 67 * q^52 + 17 * q^53 - q^54 - 60 * q^55 - 102 * q^56 - 38 * q^57 + 73 * q^58 - 11 * q^59 - 20 * q^60 - 55 * q^61 - 74 * q^62 - 58 * q^63 + 6 * q^64 + 59 * q^65 + 34 * q^66 - 13 * q^67 - 3 * q^68 - 32 * q^69 + 44 * q^70 + 63 * q^71 + 18 * q^72 - 46 * q^73 - 10 * q^74 + q^75 + 55 * q^76 - 31 * q^77 - 103 * q^78 - 49 * q^79 + 74 * q^80 + 48 * q^81 + 39 * q^82 + 39 * q^83 + 21 * q^85 + 74 * q^86 + 17 * q^87 + 70 * q^88 + 32 * q^89 - 60 * q^90 + 70 * q^91 + 77 * q^92 + 67 * q^93 - 64 * q^94 + 47 * q^95 - 16 * q^96 + 37 * q^97 + 127 * q^98 - 31 * q^99

Introduction

L-functions

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