LMFDB - Embedded newform 483.2.bc.a.11.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [483,2,Mod(11,483)] 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("483.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(483, base_ring=CyclotomicField(66)) chi = DirichletCharacter(H, H._module([33, 44, 27])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bc (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	483.11
Dual form			483.2.bc.a.44.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.918620 + 1.78187i) q^{2} +(-1.09876 - 1.33893i) q^{3} +(-1.17110 - 1.64458i) q^{4} +(-2.94599 - 2.80900i) q^{5} +(3.39514 - 0.727879i) q^{6} +(-1.97640 + 1.75893i) q^{7} +(0.0375805 - 0.00540327i) q^{8} +(-0.585467 + 2.94232i) q^{9} +(7.71152 - 2.66898i) q^{10} +(-0.257306 + 0.132651i) q^{11} +(-0.915223 + 3.37501i) q^{12} +(3.86470 - 4.46010i) q^{13} +(-1.31863 - 5.13749i) q^{14} +(-0.524122 + 7.03088i) q^{15} +(1.29577 - 3.74387i) q^{16} +(-2.07967 - 0.198585i) q^{17} +(-4.70502 - 3.74610i) q^{18} +(0.526815 + 5.51706i) q^{19} +(-1.16957 + 8.13453i) q^{20} +(4.52667 + 0.713628i) q^{21} -0.580343i q^{22} +(3.40193 + 3.38036i) q^{23} +(-0.0485265 - 0.0443808i) q^{24} +(0.550490 + 11.5562i) q^{25} +(4.39715 + 10.9835i) q^{26} +(4.58284 - 2.44899i) q^{27} +(5.20726 + 1.19047i) q^{28} +(-0.623226 + 0.284618i) q^{29} +(-12.0467 - 7.39263i) q^{30} +(6.65287 + 2.66341i) q^{31} +(5.53319 + 5.80304i) q^{32} +(0.460327 + 0.198764i) q^{33} +(2.26428 - 3.52329i) q^{34} +(10.7633 + 0.369915i) q^{35} +(5.52451 - 2.48290i) q^{36} +(-3.31430 + 0.804041i) q^{37} +(-10.3146 - 4.12936i) q^{38} +(-10.2181 - 0.273996i) q^{39} +(-0.125890 - 0.0896456i) q^{40} +(0.0413890 + 0.140958i) q^{41} +(-5.42988 + 7.41040i) q^{42} +(-6.90466 - 0.992741i) q^{43} +(0.519486 + 0.267813i) q^{44} +(9.98974 - 7.02346i) q^{45} +(-9.14847 + 2.95654i) q^{46} +(-1.41487 + 0.816878i) q^{47} +(-6.43651 + 2.37866i) q^{48} +(0.812330 - 6.95271i) q^{49} +(-21.0974 - 9.63487i) q^{50} +(2.01916 + 3.00273i) q^{51} +(-11.8609 - 1.13258i) q^{52} +(7.27318 - 1.40179i) q^{53} +(0.153904 + 10.4157i) q^{54} +(1.13064 + 0.331985i) q^{55} +(-0.0647703 + 0.0767806i) q^{56} +(6.80811 - 6.76727i) q^{57} +(0.0653548 - 1.37197i) q^{58} +(-1.35087 + 0.467539i) q^{59} +(12.1766 - 7.37190i) q^{60} +(3.70507 + 4.71138i) q^{61} +(-10.8573 + 9.40792i) q^{62} +(-4.01821 - 6.84500i) q^{63} +(-7.82062 + 2.29634i) q^{64} +(-23.9138 + 2.28349i) q^{65} +(-0.777038 + 0.637656i) q^{66} +(10.4306 - 0.496871i) q^{67} +(2.10891 + 3.65275i) q^{68} +(0.788176 - 8.26915i) q^{69} +(-10.5465 + 18.8390i) q^{70} +(5.46332 + 8.50109i) q^{71} +(-0.00610405 + 0.113737i) q^{72} +(-4.99387 - 7.01291i) q^{73} +(1.61188 - 6.64428i) q^{74} +(14.8681 - 13.4345i) q^{75} +(8.45629 - 7.32741i) q^{76} +(0.275217 - 0.714755i) q^{77} +(9.87480 - 17.9557i) q^{78} +(0.134277 - 0.696695i) q^{79} +(-14.3338 + 7.38960i) q^{80} +(-8.31446 - 3.44526i) q^{81} +(-0.289190 - 0.0557369i) q^{82} +(-3.82422 - 1.12289i) q^{83} +(-4.12756 - 8.28019i) q^{84} +(5.56887 + 6.42682i) q^{85} +(8.11170 - 11.3913i) q^{86} +(1.06586 + 0.521731i) q^{87} +(-0.00895296 + 0.00637537i) q^{88} +(3.16380 - 1.26660i) q^{89} +(3.33815 + 24.2523i) q^{90} +(0.206805 + 15.6127i) q^{91} +(1.57528 - 9.55349i) q^{92} +(-3.74377 - 11.8342i) q^{93} +(-0.155842 - 3.27153i) q^{94} +(13.9454 - 17.7330i) q^{95} +(1.69024 - 13.7847i) q^{96} +(1.17109 + 3.98837i) q^{97} +(11.6426 + 7.83437i) q^{98} +(-0.239656 - 0.834739i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28}+ \cdots - 308 q^{99}+O(q^{100}) $ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.918620	+	1.78187i	−0.649562	+	1.25998i	0.302231	+	0.953235i	$0.402269\pi$
$2$	−0.918620	+	1.78187i	−0.649562	+	1.25998i	−0.951793	+	0.306741i	$0.900762\pi$
$3$	−1.09876	−	1.33893i	−0.634368	−	0.773032i
$3$	−1.09876	−	1.33893i	−0.634368	−	0.773032i
$4$	−1.17110	−	1.64458i	−0.585550	−	0.822289i
$5$	−2.94599	−	2.80900i	−1.31749	−	1.25622i	−0.944551	−	0.328364i	$-0.893503\pi$
$5$	−2.94599	−	2.80900i	−1.31749	−	1.25622i	−0.372936	−	0.927857i	$-0.621649\pi$
$6$	3.39514	−	0.727879i	1.38606	−	0.297155i
$7$	−1.97640	+	1.75893i	−0.747010	+	0.664813i
$7$	−1.97640	+	1.75893i	−0.747010	+	0.664813i
$8$	0.0375805	−	0.00540327i	0.0132867	−	0.00191034i
$9$	−0.585467	+	2.94232i	−0.195156	+	0.980772i
$10$	7.71152	−	2.66898i	2.43860	−	0.844007i
$11$	−0.257306	+	0.132651i	−0.0775807	+	0.0399957i	−0.496580	−	0.867991i	$-0.665411\pi$
$11$	−0.257306	+	0.132651i	−0.0775807	+	0.0399957i	0.419000	+	0.907986i	$0.362381\pi$
$12$	−0.915223	+	3.37501i	−0.264202	+	0.974282i
$13$	3.86470	−	4.46010i	1.07187	−	1.23701i	0.101645	−	0.994821i	$-0.467589\pi$
$13$	3.86470	−	4.46010i	1.07187	−	1.23701i	0.970229	−	0.242188i	$-0.0778652\pi$
$14$	−1.31863	−	5.13749i	−0.352419	−	1.37305i
$15$	−0.524122	+	7.03088i	−0.135328	+	1.81537i
$16$	1.29577	−	3.74387i	0.323942	−	0.935968i
$17$	−2.07967	−	0.198585i	−0.504394	−	0.0481638i	−0.160242	−	0.987078i	$-0.551228\pi$
$17$	−2.07967	−	0.198585i	−0.504394	−	0.0481638i	−0.344152	+	0.938914i	$0.611834\pi$
$18$	−4.70502	−	3.74610i	−1.10898	−	0.882964i
$19$	0.526815	+	5.51706i	0.120860	+	1.26570i	0.828847	+	0.559475i	$0.188997\pi$
$19$	0.526815	+	5.51706i	0.120860	+	1.26570i	−0.707987	+	0.706225i	$0.750397\pi$
$20$	−1.16957	+	8.13453i	−0.261523	+	1.81894i
$21$	4.52667	+	0.713628i	0.987800	+	0.155726i
$22$		−	0.580343i		−	0.123730i
$23$	3.40193	+	3.38036i	0.709352	+	0.704855i
$23$	3.40193	+	3.38036i	0.709352	+	0.704855i
$24$	−0.0485265	−	0.0443808i	−0.00990542	−	0.00905920i
$25$	0.550490	+	11.5562i	0.110098	+	2.31124i
$26$	4.39715	+	10.9835i	0.862352	+	2.15405i
$27$	4.58284	−	2.44899i	0.881968	−	0.471309i
$28$	5.20726	+	1.19047i	0.984080	+	0.224977i
$29$	−0.623226	+	0.284618i	−0.115730	+	0.0528522i	−0.472439	−	0.881364i	$-0.656626\pi$
$29$	−0.623226	+	0.284618i	−0.115730	+	0.0528522i	0.356709	+	0.934216i	$0.383899\pi$
$30$	−12.0467	−	7.39263i	−2.19941	−	1.34970i
$31$	6.65287	+	2.66341i	1.19489	+	0.478362i	0.881919	−	0.471400i	$-0.156251\pi$
$31$	6.65287	+	2.66341i	1.19489	+	0.478362i	0.312972	+	0.949762i	$0.398675\pi$
$32$	5.53319	+	5.80304i	0.978139	+	1.02584i
$33$	0.460327	+	0.198764i	0.0801326	+	0.0346004i
$34$	2.26428	−	3.52329i	0.388321	−	0.604239i
$35$	10.7633	+	0.369915i	1.81933	+	0.0625270i
$36$	5.52451	−	2.48290i	0.920752	−	0.413816i
$37$	−3.31430	+	0.804041i	−0.544868	+	0.132183i	−0.498739	−	0.866752i	$-0.666204\pi$
$37$	−3.31430	+	0.804041i	−0.544868	+	0.132183i	−0.0461285	+	0.998936i	$0.514688\pi$
$38$	−10.3146	−	4.12936i	−1.67326	−	0.669871i
$39$	−10.2181	−	0.273996i	−1.63621	−	0.0438745i
$40$	−0.125890	−	0.0896456i	−0.0199049	−	0.0141742i
$41$	0.0413890	+	0.140958i	0.00646388	+	0.0220139i	0.962662	−	0.270707i	$-0.0872575\pi$
$41$	0.0413890	+	0.140958i	0.00646388	+	0.0220139i	−0.956198	+	0.292721i	$0.905439\pi$
$42$	−5.42988	+	7.41040i	−0.837849	+	1.14345i
$43$	−6.90466	−	0.992741i	−1.05295	−	0.151392i	−0.405961	−	0.913890i	$-0.633063\pi$
$43$	−6.90466	−	0.992741i	−1.05295	−	0.151392i	−0.646990	+	0.762499i	$0.723972\pi$
$44$	0.519486	+	0.267813i	0.0783154	+	0.0403744i
$45$	9.98974	−	7.02346i	1.48918	−	1.04700i
$46$	−9.14847	+	2.95654i	−1.34887	+	0.435919i
$47$	−1.41487	+	0.816878i	−0.206381	+	0.119154i	−0.599628	−	0.800279i	$-0.704685\pi$
$47$	−1.41487	+	0.816878i	−0.206381	+	0.119154i	0.393248	+	0.919433i	$0.371352\pi$
$48$	−6.43651	+	2.37866i	−0.929030	+	0.343330i
$49$	0.812330	−	6.95271i	0.116047	−	0.993244i
$50$	−21.0974	−	9.63487i	−2.98363	−	1.36258i
$51$	2.01916	+	3.00273i	0.282739	+	0.420466i
$52$	−11.8609	−	1.13258i	−1.64482	−	0.157061i
$53$	7.27318	−	1.40179i	0.999048	−	0.192551i	0.336591	−	0.941651i	$-0.390726\pi$
$53$	7.27318	−	1.40179i	0.999048	−	0.192551i	0.662457	+	0.749100i	$0.269514\pi$
$54$	0.153904	+	10.4157i	0.0209436	+	1.41740i
$55$	1.13064	+	0.331985i	0.152455	+	0.0447648i
$56$	−0.0647703	+	0.0767806i	−0.00865529	+	0.0102602i
$57$	6.80811	−	6.76727i	0.901757	−	0.896347i
$58$	0.0653548	−	1.37197i	0.00858151	−	0.180148i
$59$	−1.35087	+	0.467539i	−0.175868	+	0.0608684i	−0.413583	−	0.910467i	$-0.635723\pi$
$59$	−1.35087	+	0.467539i	−0.175868	+	0.0608684i	0.237715	+	0.971335i	$0.423602\pi$
$60$	12.1766	−	7.37190i	1.57200	−	0.951708i
$61$	3.70507	+	4.71138i	0.474386	+	0.603230i	0.963077	−	0.269226i	$-0.0867680\pi$
$61$	3.70507	+	4.71138i	0.474386	+	0.603230i	−0.488691	+	0.872457i	$0.662526\pi$
$62$	−10.8573	+	9.40792i	−1.37888	+	1.19481i
$63$	−4.01821	−	6.84500i	−0.506247	−	0.862389i
$64$	−7.82062	+	2.29634i	−0.977578	+	0.287043i
$65$	−23.9138	+	2.28349i	−2.96614	+	0.283232i
$66$	−0.777038	+	0.637656i	−0.0956468	+	0.0784900i
$67$	10.4306	−	0.496871i	1.27430	−	0.0607025i	0.600506	−	0.799620i	$-0.294966\pi$
$67$	10.4306	−	0.496871i	1.27430	−	0.0607025i	0.673796	+	0.738918i	$0.264663\pi$
$68$	2.10891	+	3.65275i	0.255743	+	0.442961i
$69$	0.788176	−	8.26915i	0.0948853	−	0.995488i
$70$	−10.5465	+	18.8390i	−1.26055	+	2.25169i
$71$	5.46332	+	8.50109i	0.648376	+	1.00889i	0.997420	+	0.0717867i	$0.0228701\pi$
$71$	5.46332	+	8.50109i	0.648376	+	1.00889i	−0.349044	+	0.937106i	$0.613494\pi$
$72$	−0.00610405	+	0.113737i	−0.000719369	+	0.0134041i
$73$	−4.99387	−	7.01291i	−0.584489	−	0.820799i	0.411393	−	0.911458i	$-0.365042\pi$
$73$	−4.99387	−	7.01291i	−0.584489	−	0.820799i	−0.995882	+	0.0906584i	$0.971103\pi$
$74$	1.61188	−	6.64428i	0.187378	−	0.772381i
$75$	14.8681	−	13.4345i	1.71682	−	1.55129i
$76$	8.45629	−	7.32741i	0.970002	−	0.840512i
$77$	0.275217	−	0.714755i	0.0313639	−	0.0814538i
$78$	9.87480	−	17.9557i	1.11810	−	2.03308i
$79$	0.134277	−	0.696695i	0.0151073	−	0.0783843i	−0.973593	−	0.228293i	$-0.926686\pi$
$79$	0.134277	−	0.696695i	0.0151073	−	0.0783843i	0.988700	+	0.149908i	$0.0478978\pi$
$80$	−14.3338	+	7.38960i	−1.60257	+	0.826183i
$81$	−8.31446	−	3.44526i	−0.923829	−	0.382807i
$82$	−0.289190	−	0.0557369i	−0.0319357	−	0.00615511i
$83$	−3.82422	−	1.12289i	−0.419762	−	0.123253i	0.0650287	−	0.997883i	$-0.479286\pi$
$83$	−3.82422	−	1.12289i	−0.419762	−	0.123253i	−0.484791	+	0.874630i	$0.661104\pi$
$84$	−4.12756	−	8.28019i	−0.450354	−	0.903443i
$85$	5.56887	+	6.42682i	0.604029	+	0.697086i
$86$	8.11170	−	11.3913i	0.874707	−	1.22835i
$87$	1.06586	+	0.521731i	0.114272	+	0.0559354i
$88$	−0.00895296	+	0.00637537i	−0.000954389	+	0.000679617i
$89$	3.16380	−	1.26660i	0.335363	−	0.134259i	−0.197868	−	0.980229i	$-0.563402\pi$
$89$	3.16380	−	1.26660i	0.335363	−	0.134259i	0.533231	+	0.845970i	$0.320978\pi$
$90$	3.33815	+	24.2523i	0.351872	+	2.55642i
$91$	0.206805	+	15.6127i	0.0216791	+	1.63665i
$92$	1.57528	−	9.55349i	0.164234	−	0.996020i
$93$	−3.74377	−	11.8342i	−0.388211	−	1.22715i
$94$	−0.155842	−	3.27153i	−0.0160739	−	0.337432i
$95$	13.9454	−	17.7330i	1.43077	−	1.81937i
$96$	1.69024	−	13.7847i	0.172509	−	1.40689i
$97$	1.17109	+	3.98837i	0.118906	+	0.404957i	0.997339	−	0.0729094i	$-0.0232284\pi$
$97$	1.17109	+	3.98837i	0.118906	+	0.404957i	−0.878432	+	0.477867i	$0.841410\pi$
$98$	11.6426	+	7.83437i	1.17608	+	0.791390i
$99$	−0.239656	−	0.834739i	−0.0240863	−	0.0838944i
$100$	18.3604	−	14.4388i	1.83604	−	1.44388i
$101$	9.73480	+	10.2096i	0.968649	+	1.01589i	0.999866	+	0.0163775i	$0.00521334\pi$
$101$	9.73480	+	10.2096i	0.968649	+	1.01589i	−0.0312166	+	0.999513i	$0.509938\pi$
$102$	−7.20533	+	0.839525i	−0.713434	+	0.0831254i
$103$	−11.3560	−	0.540951i	−1.11894	−	0.0533015i	−0.520050	−	0.854136i	$-0.674087\pi$
$103$	−11.3560	−	0.540951i	−1.11894	−	0.0533015i	−0.598886	+	0.800834i	$0.704390\pi$
$104$	0.121138	−	0.188495i	0.0118786	−	0.0184835i
$105$	−11.3309	−	14.8177i	−1.10579	−	1.44606i
$106$	−4.18348	+	14.2476i	−0.406335	+	1.38385i
$107$	12.7144	−	9.99868i	1.22914	−	0.966609i	0.229167	−	0.973387i	$-0.426400\pi$
$107$	12.7144	−	9.99868i	1.22914	−	0.966609i	0.999977	+	0.00677782i	$0.00215747\pi$
$108$	−9.39452	−	4.66883i	−0.903988	−	0.449259i
$109$	−0.692259	+	7.24966i	−0.0663064	+	0.694392i	0.899809	+	0.436283i	$0.143705\pi$
$109$	−0.692259	+	7.24966i	−0.0663064	+	0.694392i	−0.966116	+	0.258109i	$0.916901\pi$
$110$	−1.63018	+	1.70968i	−0.155432	+	0.163012i
$111$	4.71817	+	3.55417i	0.447828	+	0.337347i
$112$	4.02425	+	9.67855i	0.380256	+	0.914537i
$113$	−2.87874	+	1.85006i	−0.270809	+	0.174039i	−0.668996	−	0.743266i	$-0.733276\pi$
$113$	−2.87874	+	1.85006i	−0.270809	+	0.174039i	0.398187	+	0.917304i	$0.369639\pi$
$114$	5.80436	+	18.3478i	0.543628	+	1.71842i
$115$	−0.526627	−	19.5145i	−0.0491082	−	1.81974i
$116$	1.19794	+	0.691629i	0.111226	+	0.0642162i
$117$	10.8604	+	13.9824i	1.00404	+	1.29267i
$118$	0.407836	−	2.83656i	0.0375444	−	0.261127i
$119$	4.45956	−	3.26551i	0.408808	−	0.299349i
$120$	0.0182929	+	0.267056i	0.00166991	+	0.0243788i
$121$	−6.33202	+	8.89207i	−0.575638	+	0.808370i
$122$	−11.7986	+	2.27400i	−1.06820	+	0.205878i
$123$	0.143256	−	0.210296i	0.0129170	−	0.0189617i
$124$	−3.41099	−	14.0603i	−0.306316	−	1.26265i
$125$	17.5114	−	20.2093i	1.56627	−	1.80757i
$126$	15.8881	−	0.871996i	1.41543	−	0.0776836i
$127$	−5.03395	−	3.23513i	−0.446691	−	0.287071i	0.297893	−	0.954599i	$-0.403716\pi$
$127$	−5.03395	−	3.23513i	−0.446691	−	0.287071i	−0.744585	+	0.667528i	$0.767352\pi$
$128$	0.0574798	−	0.298234i	0.00508055	−	0.0263604i
$129$	6.25733	+	10.3356i	0.550928	+	0.910002i
$130$	17.8988	−	44.7090i	1.56983	−	3.92124i
$131$	6.82893	+	2.36352i	0.596646	+	0.206501i	0.608666	−	0.793426i	$-0.291705\pi$
$131$	6.82893	+	2.36352i	0.596646	+	0.206501i	−0.0120198	+	0.999928i	$0.503826\pi$
$132$	−0.212205	−	0.989817i	−0.0184701	−	0.0861525i
$133$	−10.7453	−	9.97729i	−0.931737	−	0.865141i
$134$	−8.69641	+	19.0425i	−0.751255	+	1.64502i
$135$	−20.3802	−	5.65848i	−1.75405	−	0.487005i
$136$	−0.0792282	+	0.00377410i	−0.00679376	+	0.000323627i
$137$	−10.8239	+	18.7476i	−0.924750	+	1.60171i	−0.132788	+	0.991144i	$0.542393\pi$
$137$	−10.8239	+	18.7476i	−0.924750	+	1.60171i	−0.791962	+	0.610570i	$0.790940\pi$
$138$	14.0105	+	9.00063i	1.19266	+	0.766185i
$139$	7.69285			0.652499			0.326250	−	0.945284i	$-0.394215\pi$
$139$	7.69285			0.652499			0.326250	+	0.945284i	$0.394215\pi$
$140$	−11.9965	−	18.1343i	−1.01389	−	1.53263i
$141$	2.64834	+	0.996867i	0.223031	+	0.0839514i
$142$	−20.1666	+	1.92567i	−1.69234	+	0.161599i
$143$	−0.402776	+	1.66027i	−0.0336818	+	0.138838i
$144$	10.2570	+	6.00447i	0.854752	+	0.500372i
$145$	2.63551	+	0.912159i	0.218867	+	0.0757507i
$146$	17.0836	−	2.45625i	1.41385	−	0.203281i
$147$	−10.2017	+	6.55168i	−0.841425	+	0.540373i
$148$	5.20368	+	4.50902i	0.427740	+	0.370639i
$149$	−0.714896	+	15.0075i	−0.0585666	+	1.22946i	0.758016	+	0.652235i	$0.226169\pi$
$149$	−0.714896	+	15.0075i	−0.0585666	+	1.22946i	−0.816583	+	0.577228i	$0.804134\pi$
$150$	10.2805	+	38.8343i	0.839401	+	3.17081i
$151$	3.02788	+	8.74849i	0.246406	+	0.711942i	0.998595	+	0.0529950i	$0.0168768\pi$
$151$	3.02788	+	8.74849i	0.246406	+	0.711942i	−0.752189	+	0.658947i	$0.771002\pi$
$152$	0.0496081	+	0.204488i	0.00402375	+	0.0165861i
$153$	1.80188	−	6.00279i	0.145673	−	0.485297i
$154$	1.02078	+	1.14699i	0.0822570	+	0.0924272i
$155$	−12.1178	−	26.5343i	−0.973325	−	2.13128i
$156$	11.5158	+	17.1254i	0.922005	+	1.37113i
$157$	−2.74794	+	1.95680i	−0.219309	+	0.156169i	−0.684432	−	0.729077i	$-0.739950\pi$
$157$	−2.74794	+	1.95680i	−0.219309	+	0.156169i	0.465122	+	0.885246i	$0.346010\pi$
$158$	1.11807	+	0.879263i	0.0889491	+	0.0699504i
$159$	−9.86836	−	8.19805i	−0.782612	−	0.650148i
$160$		−	32.6384i		−	2.58029i
$161$	−12.6694	−	0.697200i	−0.998489	−	0.0549471i
$162$	13.7768	−	11.6504i	1.08241	−	0.915344i
$163$	−0.557424	−	0.287372i	−0.0436608	−	0.0225087i	0.436258	−	0.899822i	$-0.356304\pi$
$163$	−0.557424	−	0.287372i	−0.0436608	−	0.0225087i	−0.479919	+	0.877313i	$0.659334\pi$
$164$	0.183346	−	0.233143i	0.0143169	−	0.0182054i
$165$	−0.797790	−	1.87861i	−0.0621079	−	0.146250i
$166$	5.51385	−	5.78276i	0.427958	−	0.448829i
$167$	5.92157	−	2.70429i	0.458225	−	0.209264i	−0.172910	−	0.984938i	$-0.555317\pi$
$167$	5.92157	−	2.70429i	0.458225	−	0.209264i	0.631135	+	0.775673i	$0.282590\pi$
$168$	0.173971	+	0.00235972i	0.0134221	+	0.000182056i
$169$	−3.10650	−	21.6062i	−0.238962	−	1.66202i
$170$	−16.5675	+	4.01922i	−1.27067	+	0.308260i
$171$	−16.5414	−	1.68000i	−1.26495	−	0.128473i
$172$	6.45341	+	12.5179i	0.492068	+	0.954478i
$173$	5.03329	+	0.239765i	0.382674	+	0.0182290i	0.238038	−	0.971256i	$-0.423496\pi$
$173$	5.03329	+	0.239765i	0.382674	+	0.0182290i	0.144636	+	0.989485i	$0.453799\pi$
$174$	−1.90878	+	1.41995i	−0.144704	+	0.107646i
$175$	−21.4146	−	21.8715i	−1.61879	−	1.65333i
$176$	0.163218	+	1.13521i	0.0123030	+	0.0855693i
$177$	2.11028	+	1.29500i	0.158618	+	0.0973384i
$178$	−0.649419	+	6.80102i	−0.0486760	+	0.509758i
$179$	23.3023	+	5.65308i	1.74170	+	0.422531i	0.975486	−	0.220061i	$-0.0706255\pi$
$179$	23.3023	+	5.65308i	1.74170	+	0.422531i	0.766209	+	0.642591i	$0.222141\pi$
$180$	−23.2496	−	8.20374i	−1.73292	−	0.611471i
$181$	−0.0652991	−	0.00938859i	−0.00485364	−	0.000697849i	0.139888	−	0.990167i	$-0.455326\pi$
$181$	−0.0652991	−	0.00938859i	−0.00485364	−	0.000697849i	−0.144741	+	0.989470i	$0.546235\pi$
$182$	−28.0098	−	13.9736i	−2.07623	−	1.03579i
$183$	2.23724	−	10.1375i	0.165381	−	0.749385i
$184$	0.146111	+	0.108654i	0.0107715	+	0.00801011i
$185$	12.0224	+	6.94116i	0.883908	+	0.510325i
$186$	24.5261	+	4.20018i	1.79834	+	0.307972i
$187$	0.561455	−	0.224773i	0.0410576	−	0.0164370i
$188$	3.00038	+	1.37023i	0.218825	+	0.0999341i
$189$	−4.74993	+	12.9011i	−0.345507	+	0.938416i
$190$	18.7875	+	41.1389i	1.36299	+	2.98453i
$191$	2.82145	−	8.15204i	0.204153	−	0.589861i	−0.795722	−	0.605661i	$-0.792909\pi$
$191$	2.82145	−	8.15204i	0.204153	−	0.589861i	0.999875	+	0.0158009i	$0.00502979\pi$
$192$	11.6676	+	7.94814i	0.842037	+	0.573608i
$193$	2.71131	−	2.58523i	0.195164	−	0.186089i	−0.586195	−	0.810170i	$-0.699375\pi$
$193$	2.71131	−	2.58523i	0.195164	−	0.186089i	0.781360	+	0.624081i	$0.214526\pi$
$194$	−8.18256	−	1.57706i	−0.587473	−	0.113226i
$195$	29.3328	+	29.5099i	2.10057	+	2.11325i
$196$	−12.3856	+	6.80637i	−0.884685	+	0.486169i
$197$	−6.61539	−	5.73227i	−0.471327	−	0.408407i	0.386545	−	0.922270i	$-0.373668\pi$
$197$	−6.61539	−	5.73227i	−0.471327	−	0.408407i	−0.857872	+	0.513863i	$0.828214\pi$
$198$	1.70755	+	0.339772i	0.121350	+	0.0241465i
$199$	−0.517688	+	1.29312i	−0.0366979	+	0.0916669i	−0.945585	−	0.325376i	$-0.894509\pi$
$199$	−0.517688	+	1.29312i	−0.0366979	+	0.0916669i	0.908887	+	0.417043i	$0.136933\pi$
$200$	0.0831290	+	0.431314i	0.00587811	+	0.0304985i
$201$	−12.1260	−	13.4199i	−0.855301	−	0.946568i
$202$	−27.1348	+	7.96748i	−1.90919	+	0.560590i
$203$	0.731123	−	1.65873i	0.0513148	−	0.116420i
$204$	2.57359	−	6.83717i	0.180187	−	0.478698i
$205$	0.274019	−	0.531523i	0.0191383	−	0.0371232i
$206$	11.3957	−	19.7380i	0.793977	−	1.37521i
$207$	−11.9378	+	8.03047i	−0.829736	+	0.558156i
$208$	−11.6903	−	20.2482i	−0.810576	−	1.40396i
$209$	−0.867394	−	1.34969i	−0.0599989	−	0.0933601i
$210$	36.8122	−	6.57845i	2.54028	−	0.453956i
$211$	0.959786	−	2.10164i	0.0660744	−	0.144683i	−0.873714	−	0.486441i	$-0.838295\pi$
$211$	0.959786	−	2.10164i	0.0660744	−	0.144683i	0.939788	+	0.341758i	$0.111022\pi$
$212$	−10.8230	−	10.3197i	−0.743325	−	0.708759i
$213$	5.37950	−	16.6556i	0.368597	−	1.14122i
$214$	6.13673	+	31.8404i	0.419498	+	2.17656i
$215$	17.5525	+	22.3198i	1.19707	+	1.52220i
$216$	0.158993	−	0.116797i	0.0108181	−	0.00794701i
$217$	−17.8335	+	6.43797i	−1.21062	+	0.437038i
$218$	−12.2821	−	7.89320i	−0.831846	−	0.534595i
$219$	−3.90275	+	14.3919i	−0.263723	+	0.972517i
$220$	−0.778113	−	2.24821i	−0.0524603	−	0.151574i
$221$	−8.92301	+	8.50807i	−0.600227	+	0.572315i
$222$	−10.6673	+	5.14224i	−0.715942	+	0.345125i
$223$	9.92846	+	11.4581i	0.664859	+	0.767288i	0.983563	−	0.180566i	$-0.0577930\pi$
$223$	9.92846	+	11.4581i	0.664859	+	0.767288i	−0.318704	+	0.947854i	$0.603247\pi$
$224$	−21.1430	−	1.73665i	−1.41267	−	0.116035i
$225$	−34.3243	−	5.14607i	−2.28829	−	0.343071i
$226$	−0.652096	−	6.82905i	−0.0433768	−	0.454262i
$227$	4.21866	+	3.31759i	0.280002	+	0.220196i	0.748276	−	0.663387i	$-0.230882\pi$
$227$	4.21866	+	3.31759i	0.280002	+	0.220196i	−0.468274	+	0.883583i	$0.655124\pi$
$228$	−19.1023	−	3.27133i	−1.26508	−	0.216649i
$229$	−19.4902	+	11.2527i	−1.28795	+	0.743597i	−0.978288	−	0.207250i	$-0.933549\pi$
$229$	−19.4902	+	11.2527i	−1.28795	+	0.743597i	−0.309660	+	0.950847i	$0.600215\pi$
$230$	35.2562	+	16.9881i	2.32473	+	1.12016i
$231$	−1.25940	+	0.416844i	−0.0828627	+	0.0274264i
$232$	−0.0218833	+	0.0140636i	−0.00143671	+	0.000923318i
$233$	1.59118	+	3.97457i	0.104242	+	0.260383i	0.971315	−	0.237798i	$-0.0764257\pi$
$233$	1.59118	+	3.97457i	0.104242	+	0.260383i	−0.867073	+	0.498181i	$0.834001\pi$
$234$	−34.8915	+	6.50730i	−2.28093	+	0.425395i
$235$	6.46281	+	1.56786i	0.421587	+	0.102276i
$236$	2.35090	+	1.67407i	0.153031	+	0.108973i
$237$	−1.08036	+	0.585711i	−0.0701772	+	0.0380460i
$238$	1.72209	+	10.9461i	0.111627	+	0.709533i
$239$	−7.25472	+	24.7073i	−0.469269	+	1.59818i	0.296477	+	0.955040i	$0.404188\pi$
$239$	−7.25472	+	24.7073i	−0.469269	+	1.59818i	−0.765746	+	0.643143i	$0.777630\pi$
$240$	25.6436	+	11.0726i	1.65528	+	0.714735i
$241$	4.44283	+	8.61790i	0.286188	+	0.555127i	0.987480	−	0.157747i	$-0.0504231\pi$
$241$	4.44283	+	8.61790i	0.286188	+	0.555127i	−0.701291	+	0.712875i	$0.747393\pi$
$242$	−10.0278	−	19.4513i	−0.644614	−	1.25038i
$243$	4.52260	+	14.9180i	0.290125	+	0.956989i
$244$	3.40923	−	11.6108i	0.218254	−	0.743304i
$245$	−21.9232	+	18.2008i	−1.40062	+	1.16280i
$246$	0.243122	+	0.448447i	0.0155009	+	0.0285919i
$247$	26.6426	+	18.9721i	1.69523	+	1.20717i
$248$	0.264410	+	0.0641451i	0.0167900	+	0.00407322i
$249$	2.69841	+	6.35414i	0.171005	+	0.402677i
$250$	19.9240	+	49.7678i	1.26011	+	3.14759i
$251$	−22.2799	+	14.3184i	−1.40629	+	0.903770i	−0.999950	−	0.00995133i	$-0.996832\pi$
$251$	−22.2799	+	14.3184i	−1.40629	+	0.903770i	−0.406342	+	0.913721i	$0.633196\pi$
$252$	−6.55141	+	14.6244i	−0.412700	+	0.921253i
$253$	−1.32375	−	0.418521i	−0.0832232	−	0.0263122i
$254$	10.3889	−	5.99802i	0.651856	−	0.376349i
$255$	2.48623	−	14.5178i	0.155694	−	0.909142i
$256$	−12.3353	−	9.70058i	−0.770955	−	0.606286i
$257$	−1.11729	−	11.7008i	−0.0696948	−	0.729877i	−0.961014	−	0.276500i	$-0.910825\pi$
$257$	−1.11729	−	11.7008i	−0.0696948	−	0.729877i	0.891319	−	0.453377i	$-0.149781\pi$
$258$	−24.1649	+	1.65526i	−1.50444	+	0.103052i
$259$	5.13614	−	7.41873i	0.319144	−	0.460978i
$260$	31.7608	+	36.6539i	1.96972	+	2.27318i
$261$	−0.472558	−	2.00036i	−0.0292506	−	0.123819i
$262$	−10.4847	+	9.99712i	−0.647746	+	0.617624i
$263$	9.47706	+	27.3822i	0.584381	+	1.68846i	0.716813	+	0.697265i	$0.245600\pi$
$263$	9.47706	+	27.3822i	0.584381	+	1.68846i	−0.132433	+	0.991192i	$0.542279\pi$
$264$	0.0183733	+	0.00498240i	0.00113080	+	0.000306646i
$265$	−25.3644	−	16.3007i	−1.55812	−	1.00134i
$266$	27.6492	−	9.98146i	1.69528	−	0.612003i
$267$	−5.17214	−	2.84443i	−0.316530	−	0.174076i
$268$	−13.0324	−	16.5721i	−0.796082	−	1.01230i
$269$	−5.01443	−	26.0173i	−0.305735	−	1.58630i	−0.731741	−	0.681583i	$-0.761292\pi$
$269$	−5.01443	−	26.0173i	−0.305735	−	1.58630i	0.426006	−	0.904720i	$-0.359920\pi$
$270$	28.8044	−	31.1170i	1.75298	−	1.89372i
$271$	7.26397	+	6.92618i	0.441255	+	0.420736i	0.877860	−	0.478918i	$-0.158971\pi$
$271$	7.26397	+	6.92618i	0.441255	+	0.420736i	−0.436605	+	0.899653i	$0.643819\pi$
$272$	−3.43824	+	7.52870i	−0.208474	+	0.456495i
$273$	20.6771	−	17.4314i	1.25143	−	1.05500i
$274$	−23.4628	−	36.5088i	−1.41744	−	2.20558i
$275$	−1.67458	−	2.90046i	−0.100981	−	0.174905i
$276$	−14.5223	+	8.38777i	−0.874140	+	0.504885i
$277$	7.58327	−	13.1346i	0.455634	−	0.789182i	−0.543090	−	0.839674i	$-0.682746\pi$
$277$	7.58327	−	13.1346i	0.455634	−	0.789182i	0.998724	+	0.0504926i	$0.0160791\pi$
$278$	−7.06681	+	13.7077i	−0.423839	+	0.822133i
$279$	−11.7316	+	18.0155i	−0.702354	+	1.07856i
$280$	0.406489	−	0.0442553i	0.0242924	−	0.00264476i
$281$	26.7064	−	7.84170i	1.59317	−	0.467796i	0.639534	−	0.768763i	$-0.279127\pi$
$281$	26.7064	−	7.84170i	1.59317	−	0.467796i	0.953635	+	0.300967i	$0.0973092\pi$
$282$	−4.20911	+	3.80328i	−0.250649	+	0.226482i
$283$	−1.94912	−	10.1130i	−0.115863	−	0.601156i	−0.992724	−	0.120411i	$-0.961579\pi$
$283$	−1.94912	−	10.1130i	−0.115863	−	0.601156i	0.876861	−	0.480744i	$-0.159633\pi$
$284$	7.58262	−	18.9405i	0.449946	−	1.12391i
$285$	−39.0659	+	0.812360i	−2.31406	+	0.0481201i
$286$	−2.58839	−	2.24285i	−0.153055	−	0.132623i
$287$	−0.329737	−	0.205789i	−0.0194637	−	0.0121474i
$288$	−20.3139	+	12.8829i	−1.19701	+	0.759133i
$289$	−12.4072	−	2.39129i	−0.729835	−	0.140664i
$290$	−4.04638	+	3.85822i	−0.237612	+	0.226562i
$291$	4.05340	−	5.95025i	0.237615	−	0.348810i
$292$	−5.68497	+	16.4256i	−0.332688	+	0.961238i
$293$	4.31378	+	9.44586i	0.252014	+	0.551833i	0.992783	−	0.119927i	$-0.0382660\pi$
$293$	4.31378	+	9.44586i	0.252014	+	0.551833i	−0.740769	+	0.671760i	$0.765539\pi$
$294$	−2.30275	−	24.1967i	−0.134299	−	1.41118i
$295$	5.29295	+	2.41721i	0.308168	+	0.140735i
$296$	−0.120209	+	0.0481243i	−0.00698699	+	0.00279717i
$297$	−0.854334	+	1.23806i	−0.0495735	+	0.0718394i
$298$	−26.0848	−	15.0601i	−1.51105	−	0.872406i
$299$	28.2242	−	2.10886i	1.63225	−	0.121959i
$300$	−39.5062	−	8.71860i	−2.28089	−	0.503369i
$301$	15.3926	−	10.1828i	0.887212	−	0.586925i
$302$	−18.3702	−	2.64123i	−1.05709	−	0.151986i
$303$	2.97372	−	24.2521i	0.170836	−	1.39324i
$304$	21.3378	+	5.17649i	1.22381	+	0.296892i
$305$	2.31915	−	24.2872i	0.132794	−	1.39068i
$306$	9.04097	+	8.72500i	0.516838	+	0.498775i
$307$	−0.536794	−	3.73348i	−0.0306364	−	0.213081i	0.968753	−	0.248029i	$-0.0797827\pi$
$307$	−0.536794	−	3.73348i	−0.0306364	−	0.213081i	−0.999389	+	0.0349475i	$0.988874\pi$
$308$	−1.49778	+	0.384432i	−0.0853438	+	0.0219050i
$309$	11.7531	+	15.7992i	0.668613	+	0.898786i
$310$	58.4124	+	2.78253i	3.31760	+	0.158037i
$311$	−10.1123	−	19.6150i	−0.573413	−	1.11227i	−0.980064	−	0.198683i	$-0.936334\pi$
$311$	−10.1123	−	19.6150i	−0.573413	−	1.11227i	0.406651	−	0.913584i	$-0.366697\pi$
$312$	−0.385483	+	0.0449143i	−0.0218237	+	0.00254277i
$313$	−23.3432	+	5.66299i	−1.31943	+	0.320091i	−0.832829	−	0.553531i	$-0.813280\pi$
$313$	−23.3432	+	5.66299i	−1.31943	+	0.320091i	−0.486605	+	0.873622i	$0.661765\pi$
$314$	−0.962457	−	6.69403i	−0.0543146	−	0.377766i
$315$	−7.38996	+	31.4524i	−0.416377	+	1.77214i
$316$	−1.30302	+	0.595070i	−0.0733007	+	0.0334753i
$317$	−11.6440	+	12.2119i	−0.653991	+	0.685886i	−0.964319	−	0.264743i	$-0.914713\pi$
$317$	−11.6440	+	12.2119i	−0.653991	+	0.685886i	0.310328	+	0.950630i	$0.399561\pi$
$318$	23.6732	−	10.0533i	1.32753	−	0.563760i
$319$	0.122605	−	0.155905i	0.00686458	−	0.00872902i
$320$	29.4899	+	15.2031i	1.64854	+	0.849879i
$321$	−27.3575	−	6.03752i	−1.52695	−	0.336981i
$322$	12.8807	−	21.9348i	0.717813	−	1.22238i
$323$		−	11.5783i		−	0.644233i
$324$	4.07105	+	17.7085i	0.226170	+	0.983807i
$325$	53.6694	+	42.2061i	2.97704	+	2.34117i
$326$	1.02412	−	0.729274i	0.0567209	−	0.0403907i
$327$	10.4674	−	7.03873i	0.578849	−	0.389243i
$328$	0.00231706	+	0.00507364i	0.000127938	+	0.000280145i
$329$	1.35953	−	4.10314i	0.0749533	−	0.226214i
$330$	4.08032	+	0.304171i	0.224614	+	0.0167440i
$331$	3.31183	+	13.6515i	0.182034	+	0.750356i	0.987488	+	0.157697i	$0.0504068\pi$
$331$	3.31183	+	13.6515i	0.182034	+	0.750356i	−0.805453	+	0.592659i	$0.798078\pi$
$332$	2.63185	+	7.60424i	0.144442	+	0.417337i
$333$	−0.425328	−	10.2225i	−0.0233079	−	0.560188i
$334$	−0.620967	+	13.0357i	−0.0339778	+	0.713282i
$335$	−32.1242	−	27.8358i	−1.75513	−	1.52083i
$336$	8.53723	−	16.0226i	0.465744	−	0.874103i
$337$	29.2545	−	4.20616i	1.59359	−	0.229124i	0.712363	−	0.701811i	$-0.247625\pi$
$337$	29.2545	−	4.20616i	1.59359	−	0.229124i	0.881230	+	0.472687i	$0.156716\pi$
$338$	41.3532	+	14.3125i	2.24932	+	0.778497i
$339$	5.64013	+	1.82167i	0.306330	+	0.0989397i
$340$	4.04771	−	16.6849i	0.219518	−	0.904865i
$341$	−2.06513	+	0.197196i	−0.111833	+	0.0106788i
$342$	18.1888	−	27.9314i	0.983536	−	1.51035i
$343$	10.6238	+	15.1702i	0.573633	+	0.819112i
$344$	−0.264845			−0.0142795
$345$	−25.5500	+	22.1468i	−1.37556	+	1.19235i
$346$	−5.05091	+	8.74844i	−0.271539	+	0.470319i
$347$	−23.4605	+	1.11756i	−1.25942	+	0.0599937i	−0.666647	−	0.745374i	$-0.732271\pi$
$347$	−23.4605	+	1.11756i	−1.25942	+	0.0599937i	−0.592776	+	0.805367i	$0.701968\pi$
$348$	−0.390198	−	2.36389i	−0.0209168	−	0.126718i
$349$	1.74608	−	3.82338i	0.0934655	−	0.204661i	−0.857125	−	0.515108i	$-0.827752\pi$
$349$	1.74608	−	3.82338i	0.0934655	−	0.204661i	0.950590	+	0.310448i	$0.100479\pi$
$350$	58.6440	−	18.0665i	3.13466	−	0.965695i
$351$	6.78856	−	29.9045i	0.362346	−	1.59619i
$352$	−2.19350	−	0.759178i	−0.116914	−	0.0404643i
$353$	4.00583	−	10.0061i	0.213209	−	0.532569i	−0.782755	−	0.622330i	$-0.786186\pi$
$353$	4.00583	−	10.0061i	0.213209	−	0.532569i	0.995963	+	0.0897609i	$0.0286103\pi$
$354$	−4.24607	+	2.57063i	−0.225676	+	0.136627i
$355$	7.78464	−	40.3905i	0.413166	−	2.14371i
$356$	−5.78815	−	3.71982i	−0.306771	−	0.197150i
$357$	−9.27227	−	2.38304i	−0.490741	−	0.126124i
$358$	−31.4790	+	36.3287i	−1.66372	+	1.92003i
$359$	0.255233	+	1.05208i	0.0134707	+	0.0555268i	0.978150	−	0.207899i	$-0.0666626\pi$
$359$	0.255233	+	1.05208i	0.0134707	+	0.0555268i	−0.964680	+	0.263426i	$0.915147\pi$
$360$	0.337470	−	0.317923i	0.0177862	−	0.0167560i
$361$	−11.5038	+	2.21717i	−0.605461	+	0.116693i
$362$	0.0767143	−	0.107730i	0.00403202	−	0.00566217i
$363$	18.8632	−	1.29210i	0.990062	−	0.0678176i
$364$	25.4341	−	18.6241i	1.33311	−	0.976169i
$365$	−4.98735	+	34.6877i	−0.261050	+	1.81564i
$366$	16.0086	+	13.2990i	0.836781	+	0.695149i
$367$	18.5592	+	10.7152i	0.968783	+	0.559327i	0.898865	−	0.438226i	$-0.144393\pi$
$367$	18.5592	+	10.7152i	0.968783	+	0.559327i	0.0699181	+	0.997553i	$0.477726\pi$
$368$	17.0638	−	8.35623i	0.889510	−	0.435598i
$369$	−0.438975	+	0.0392533i	−0.0228521	+	0.00204345i
$370$	−23.4123	+	15.0462i	−1.21715	+	0.782215i
$371$	−11.9091	+	15.5635i	−0.618289	+	0.808018i
$372$	−15.0779	+	20.0159i	−0.781753	+	1.03778i
$373$	−2.58726	+	2.71344i	−0.133963	+	0.140497i	−0.787298	−	0.616572i	$-0.788521\pi$
$373$	−2.58726	+	2.71344i	−0.133963	+	0.140497i	0.653335	+	0.757069i	$0.273369\pi$
$374$	−0.115247	+	1.20692i	−0.00595929	+	0.0624085i
$375$	−46.2996	−	1.24151i	−2.39090	−	0.0641113i
$376$	−0.0487579	+	0.0383437i	−0.00251450	+	0.00197742i
$377$	−1.13916	+	3.87962i	−0.0586696	+	0.199810i
$378$	−18.6247	−	20.3150i	−0.957953	−	1.04489i
$379$	2.16959	−	3.37595i	0.111444	−	0.173411i	−0.781051	−	0.624467i	$-0.785316\pi$
$379$	2.16959	−	3.37595i	0.111444	−	0.173411i	0.892496	+	0.451056i	$0.148953\pi$
$380$	−45.4948	−	2.16718i	−2.33383	−	0.111174i
$381$	1.19948	+	10.2947i	0.0614514	+	0.527415i
$382$	11.9341	+	12.5161i	0.610600	+	0.640379i
$383$	−19.3965	+	15.2536i	−0.991117	+	0.779423i	−0.975397	−	0.220454i	$-0.929246\pi$
$383$	−19.3965	+	15.2536i	−0.991117	+	0.779423i	−0.0157192	+	0.999876i	$0.505004\pi$
$384$	−0.462470	+	0.250725i	−0.0236003	+	0.0127947i
$385$	−2.81853	+	1.33258i	−0.143646	+	0.0679143i
$386$	2.11589	+	7.20605i	0.107696	+	0.366778i
$387$	6.96341	−	19.7345i	0.353970	−	1.00316i
$388$	5.18772	−	6.59672i	0.263367	−	0.334898i
$389$	−0.0643546	−	1.35097i	−0.00326291	−	0.0684969i	0.996649	−	0.0818024i	$-0.0260676\pi$
$389$	−0.0643546	−	1.35097i	−0.00326291	−	0.0684969i	−0.999911	+	0.0133055i	$0.995765\pi$
$390$	−79.5286	+	25.1591i	−4.02709	+	1.27398i
$391$	−6.40361	−	7.70562i	−0.323845	−	0.389690i
$392$	−0.00703951	−	0.265676i	−0.000355549	−	0.0134186i
$393$	−4.33875	−	11.7404i	−0.218861	−	0.592224i
$394$	16.2912	−	6.52201i	0.820739	−	0.328574i
$395$	−2.35259	+	1.67527i	−0.118372	+	0.0842922i
$396$	−1.09213	+	1.37170i	−0.0548818	+	0.0689303i
$397$	9.65704	−	13.5614i	0.484673	−	0.680628i	−0.497745	−	0.867324i	$-0.665838\pi$
$397$	9.65704	−	13.5614i	0.484673	−	0.680628i	0.982418	+	0.186696i	$0.0597778\pi$
$398$	−1.82862	−	2.11034i	−0.0916605	−	0.105782i
$399$	−1.55241	+	25.3498i	−0.0777176	+	1.26908i
$400$	43.9783	+	12.9132i	2.19891	+	0.645659i
$401$	4.18395	+	0.806391i	0.208937	+	0.0402692i	0.292645	−	0.956221i	$-0.405464\pi$
$401$	4.18395	+	0.806391i	0.208937	+	0.0402692i	−0.0837088	+	0.996490i	$0.526677\pi$
$402$	35.0518	−	9.27917i	1.74822	−	0.462803i
$403$	37.5904	−	19.3792i	1.87251	−	0.965347i
$404$	5.39002	−	27.9661i	0.268163	−	1.39136i
$405$	14.8166	+	33.5050i	0.736242	+	1.66488i
$406$	2.28403	+	2.82651i	0.113354	+	0.140277i
$407$	0.746134	−	0.646529i	0.0369845	−	0.0320472i
$408$	0.0921058	+	0.101934i	0.00455992	+	0.00504649i
$409$	3.49844	−	14.4207i	0.172986	−	0.713060i	−0.817555	−	0.575850i	$-0.804671\pi$
$409$	3.49844	−	14.4207i	0.172986	−	0.713060i	0.990542	−	0.137210i	$-0.0438136\pi$
$410$	0.695387	+	0.976535i	0.0343427	+	0.0482276i
$411$	36.9946	−	6.10656i	1.82481	−	0.301215i
$412$	12.4093	+	19.3093i	0.611363	+	0.951300i
$413$	1.84749	−	3.30012i	0.0909088	−	0.162389i
$414$	−3.34296	−	28.6486i	−0.164298	−	1.40800i
$415$	8.11191	+	14.0502i	0.398198	+	0.689699i
$416$	47.2663	−	2.25157i	2.31742	−	0.110392i
$417$	−8.45258	−	10.3002i	−0.413924	−	0.504403i
$418$	3.20179	−	0.305733i	0.156604	−	0.0149539i
$419$	15.4802	−	4.54540i	0.756257	−	0.222057i	0.119196	−	0.992871i	$-0.461968\pi$
$419$	15.4802	−	4.54540i	0.756257	−	0.222057i	0.637061	+	0.770814i	$0.280150\pi$
$420$	−11.0993	+	35.9877i	−0.541589	+	1.75602i
$421$	−8.78003	+	7.60794i	−0.427913	+	0.370788i	−0.842026	−	0.539437i	$-0.818637\pi$
$421$	−8.78003	+	7.60794i	−0.427913	+	0.370788i	0.414113	+	0.910225i	$0.364092\pi$
$422$	2.86318	+	3.64083i	0.139377	+	0.177233i
$423$	−1.57515	−	4.64126i	−0.0765865	−	0.225666i
$424$	0.265756	−	0.0919790i	0.0129062	−	0.00446690i
$425$	1.15005	−	24.1425i	0.0557855	−	1.17108i
$426$	24.7365	+	24.8858i	1.19849	+	1.20572i
$427$	−15.6097	−	2.79462i	−0.755406	−	0.135241i
$428$	−31.3334	−	9.20032i	−1.51456	−	0.444714i
$429$	2.66553	−	1.28494i	0.128693	−	0.0620375i
$430$	−55.8951	+	10.7729i	−2.69550	+	0.519515i
$431$	13.0620	+	1.24727i	0.629174	+	0.0600788i	0.404772	−	0.914418i	$-0.367351\pi$
$431$	13.0620	+	1.24727i	0.629174	+	0.0600788i	0.224402	+	0.974497i	$0.427957\pi$
$432$	−3.23041	−	20.3309i	−0.155423	−	0.978170i
$433$	−24.0704	−	10.9926i	−1.15675	−	0.528270i	−0.257747	−	0.966212i	$-0.582980\pi$
$433$	−24.0704	−	10.9926i	−1.15675	−	0.528270i	−0.899003	+	0.437942i	$0.855707\pi$
$434$	4.91056	−	37.6911i	0.235714	−	1.80923i
$435$	−1.67447	−	4.53100i	−0.0802846	−	0.217245i
$436$	12.7333	−	7.35160i	0.609817	−	0.352078i
$437$	−16.8575	+	20.5495i	−0.806403	+	0.983015i
$438$	−22.0595	−	20.1749i	−1.05404	−	0.963995i
$439$	32.4317	+	16.7197i	1.54788	+	0.797989i	0.999274	−	0.0380912i	$-0.0121278\pi$
$439$	32.4317	+	16.7197i	1.54788	+	0.797989i	0.548608	+	0.836080i	$0.315158\pi$
$440$	0.0442837	+	0.00636704i	0.00211114	+	0.000303537i
$441$	19.9815	+	6.46071i	0.951499	+	0.307653i
$442$	−6.96346	−	23.7154i	−0.331218	−	1.12803i
$443$	6.42672	+	4.57644i	0.305343	+	0.217433i	0.722449	−	0.691424i	$-0.243016\pi$
$443$	6.42672	+	4.57644i	0.305343	+	0.217433i	−0.417106	+	0.908858i	$0.636956\pi$
$444$	0.319676	−	11.9217i	0.0151712	−	0.565778i
$445$	−12.8784	−	5.15573i	−0.610495	−	0.244405i
$446$	−29.5373	+	7.16567i	−1.39863	+	0.339304i
$447$	20.8795	−	15.5324i	0.987567	−	0.734658i
$448$	11.4176	−	18.2944i	0.539430	−	0.864330i
$449$	11.0228	−	17.1518i	0.520197	−	0.809443i	−0.477402	−	0.878685i	$-0.658422\pi$
$449$	11.0228	−	17.1518i	0.520197	−	0.809443i	0.997600	+	0.0692417i	$0.0220580\pi$
$450$	40.7007	−	56.4344i	1.91865	−	2.66034i
$451$	−0.0293478	−	0.0307791i	−0.00138193	−	0.00144933i
$452$	6.41386	+	2.56772i	0.301682	+	0.120775i
$453$	8.38671	−	13.6666i	0.394042	−	0.642112i
$454$	−9.78687	+	4.46951i	−0.459320	+	0.209765i
$455$	43.2467	−	46.5757i	2.02744	−	2.18350i
$456$	0.219287	−	0.291104i	0.0102691	−	0.0136322i
$457$	−3.70443	−	9.25322i	−0.173286	−	0.432847i	0.816146	−	0.577846i	$-0.196107\pi$
$457$	−3.70443	−	9.25322i	−0.173286	−	0.432847i	−0.989432	+	0.144998i	$0.953682\pi$
$458$	−2.14676	−	45.0660i	−0.100311	−	2.10580i
$459$	−10.0171	+	4.18302i	−0.467560	+	0.195246i
$460$	−31.4765	+	23.7195i	−1.46760	+	1.10593i
$461$			25.1005i			1.16905i	0.811377	+	0.584524i	$0.198719\pi$
$461$			25.1005i			1.16905i	−0.811377	+	0.584524i	$0.801281\pi$
$462$	0.414149	−	2.62702i	0.0192679	−	0.122220i
$463$	2.50543	−	17.4257i	0.116437	−	0.809839i	−0.844991	−	0.534781i	$-0.820394\pi$
$463$	2.50543	−	17.4257i	0.116437	−	0.809839i	0.961428	−	0.275058i	$-0.0886969\pi$
$464$	0.258017	+	2.70208i	0.0119781	+	0.125441i
$465$	−22.2130	+	45.3796i	−1.03010	+	2.10443i
$466$	−8.54387	−	0.815841i	−0.395787	−	0.0377931i
$467$	−5.89481	+	17.0319i	−0.272779	+	0.788144i	0.722525	+	0.691345i	$0.242981\pi$
$467$	−5.89481	+	17.0319i	−0.272779	+	0.788144i	−0.995304	+	0.0967986i	$0.969140\pi$
$468$	10.2766	−	34.2355i	0.475036	−	1.58254i
$469$	−19.7411	+	19.3287i	−0.911560	+	0.892518i
$470$	−8.73060	+	10.0757i	−0.402713	+	0.464755i
$471$	5.63933	+	1.52925i	0.259847	+	0.0704642i
$472$	−0.0482400	+	0.0248695i	−0.00222043	+	0.00114471i
$473$	1.90830	−	0.660469i	0.0877437	−	0.0303684i
$474$	−0.0512196	−	2.46312i	−0.00235259	−	0.113135i
$475$	−63.4663	+	9.12508i	−2.91203	+	0.418687i
$476$	−10.5930	−	3.50986i	−0.485529	−	0.160874i
$477$	−0.133696	+	22.2207i	−0.00612150	+	1.01742i
$478$	−37.3610	−	35.6236i	−1.70885	−	1.62939i
$479$	−7.44068	−	10.4490i	−0.339974	−	0.477426i	0.608826	−	0.793303i	$-0.291641\pi$
$479$	−7.44068	−	10.4490i	−0.339974	−	0.477426i	−0.948800	+	0.315877i	$0.897701\pi$
$480$	−43.7006	+	35.8617i	−1.99465	+	1.63685i
$481$	−9.22267	+	17.8895i	−0.420518	+	0.815691i
$482$	−19.4373			−0.885344
$483$	12.9871	+	17.7295i	0.590933	+	0.806720i
$484$	22.0391			1.00178
$485$	7.75329	−	15.0393i	0.352059	−	0.682898i
$486$	−30.7365	−	5.64524i	−1.39424	−	0.256073i
$487$	25.3116	+	35.5451i	1.14698	+	1.61070i	0.695727	+	0.718306i	$0.255082\pi$
$487$	25.3116	+	35.5451i	1.14698	+	1.61070i	0.451250	+	0.892397i	$0.350978\pi$
$488$	0.164695	+	0.157037i	0.00745541	+	0.00710872i
$489$	0.227702	+	1.06210i	0.0102971	+	0.0480300i
$490$	−12.2924	−	55.7841i	−0.555312	−	2.52007i
$491$	−23.3468	+	3.35676i	−1.05363	+	0.151489i	−0.647297	−	0.762238i	$-0.724101\pi$
$491$	−23.3468	+	3.35676i	−1.05363	+	0.151489i	−0.406330	+	0.913727i	$0.633191\pi$
$492$	−0.513615	+	0.0106804i	−0.0231556	+	0.000481511i
$493$	1.35263	−	0.468149i	0.0609193	−	0.0210844i
$494$	−58.2804	+	30.0456i	−2.62216	+	1.35182i
$495$	−1.63876	+	3.13233i	−0.0736566	+	0.140788i
$496$	18.5920	−	21.4563i	0.834807	−	0.963418i
$497$	−25.7505	−	7.19197i	−1.15507	−	0.322604i
$498$	−13.8011	−	1.02881i	−0.618442	−	0.0461022i
$499$	2.60248	−	7.51939i	0.116503	−	0.336614i	−0.871640	−	0.490146i	$-0.836944\pi$
$499$	2.60248	−	7.51939i	0.116503	−	0.336614i	0.988144	+	0.153532i	$0.0490648\pi$
$500$	−53.7434	−	5.13187i	−2.40348	−	0.229504i
$501$	−10.1272	−	4.95721i	−0.452451	−	0.221472i
$502$	−5.04686	−	52.8531i	−0.225252	−	2.35895i
$503$	0.918442	−	6.38790i	0.0409513	−	0.284823i	−0.959047	−	0.283245i	$-0.908589\pi$
$503$	0.918442	−	6.38790i	0.0409513	−	0.284823i	0.999999	−	0.00157712i	$-0.000502012\pi$
$504$	−0.187992	−	0.235527i	−0.00837382	−	0.0104912i
$505$		−	57.4223i		−	2.55526i
$506$	1.96177	−	1.97429i	0.0872113	−	0.0877677i
$507$	−25.5159	+	27.8994i	−1.13320	+	1.23905i
$508$	0.574841	+	12.0674i	0.0255044	+	0.535404i
$509$	−5.14487	−	12.8513i	−0.228042	−	0.569622i	0.769579	−	0.638551i	$-0.220466\pi$
$509$	−5.14487	−	12.8513i	−0.228042	−	0.569622i	−0.997622	+	0.0689293i	$0.978042\pi$
$510$	23.5851	+	17.7665i	1.04436	+	0.786715i
$511$	22.2051	+	5.07646i	0.982297	+	0.224570i
$512$	29.1692	−	13.3211i	1.28911	−	0.588716i
$513$	15.9255	+	23.9936i	0.703130	+	1.05935i
$514$	21.8757	+	8.75773i	0.964898	+	0.386287i
$515$	31.9350	+	33.4925i	1.40723	+	1.47586i
$516$	9.66982	−	22.3947i	0.425690	−	0.985874i
$517$	0.255697	−	0.397872i	0.0112455	−	0.0174984i
$518$	8.50109	+	15.9670i	0.373516	+	0.701548i
$519$	−5.20933	−	7.00267i	−0.228664	−	0.307383i
$520$	−0.886354	+	0.215027i	−0.0388692	+	0.00942957i
$521$	−3.19151	−	1.27769i	−0.139822	−	0.0559765i	0.300696	−	0.953720i	$-0.402781\pi$
$521$	−3.19151	−	1.27769i	−0.139822	−	0.0559765i	−0.440518	+	0.897744i	$0.645205\pi$
$522$	3.99850	+	0.995536i	0.175010	+	0.0435734i
$523$	4.79445	+	3.41412i	0.209647	+	0.149289i	0.680057	−	0.733159i	$-0.261955\pi$
$523$	4.79445	+	3.41412i	0.209647	+	0.149289i	−0.470411	+	0.882448i	$0.655894\pi$
$524$	−4.11037	−	13.9986i	−0.179562	−	0.611533i
$525$	−5.75495	+	52.7040i	−0.251167	+	2.30019i
$526$	−57.4974	−	8.26688i	−2.50701	−	0.360453i
$527$	−13.3069	−	6.86017i	−0.579657	−	0.298834i
$528$	1.34062	−	1.46585i	0.0583432	−	0.0637930i
$529$	0.146274	+	22.9995i	0.00635973	+	0.999980i
$530$	52.3460	−	30.2220i	2.27376	−	1.31276i
$531$	−0.584761	−	4.24840i	−0.0253765	−	0.184365i
$532$	−3.82461	+	29.3559i	−0.165818	+	1.27274i
$533$	0.788643	+	0.360161i	0.0341599	+	0.0156003i
$534$	9.81965	−	6.60314i	0.424938	−	0.285746i
$535$	−65.5427	−	6.25857i	−2.83366	−	0.270581i
$536$	0.389303	−	0.0750321i	0.0168153	−	0.00324089i
$537$	−18.0345	−	37.4115i	−0.778245	−	1.61443i
$538$	50.9659	+	14.9649i	2.19730	+	0.645185i
$539$	0.713263	+	1.89673i	0.0307224	+	0.0816980i
$540$	14.5614	+	40.1435i	0.626625	+	1.72750i
$541$	−1.14240	+	23.9820i	−0.0491157	+	1.03107i	0.830990	+	0.556287i	$0.187775\pi$
$541$	−1.14240	+	23.9820i	−0.0491157	+	1.03107i	−0.880106	+	0.474778i	$0.842528\pi$
$542$	−19.0144	+	6.58095i	−0.816739	+	0.282676i
$543$	0.0591772	+	0.0977467i	0.00253953	+	0.00419471i
$544$	−10.3548	−	13.1672i	−0.443959	−	0.564540i
$545$	22.4037	−	19.4129i	0.959668	−	0.831557i
$546$	12.0663	+	52.8568i	0.516389	+	2.26206i
$547$	36.9785	−	10.8579i	1.58109	−	0.464249i	0.630883	−	0.775878i	$-0.282693\pi$
$547$	36.9785	−	10.8579i	1.58109	−	0.464249i	0.950204	+	0.311629i	$0.100875\pi$
$548$	43.5078	−	4.15449i	1.85856	−	0.177471i
$549$	−16.0316	+	8.14313i	−0.684211	+	0.347540i
$550$	6.70657	−	0.319473i	0.285969	−	0.0136224i
$551$	−1.89858	−	3.28844i	−0.0808822	−	0.140092i
$552$	−0.0150603	−	0.315018i	−0.000641009	−	0.0134080i
$553$	0.960053	+	1.61313i	0.0408256	+	0.0685974i
$554$	16.4381	+	25.5781i	0.698387	+	1.08671i
$555$	−3.91601	−	23.7239i	−0.166226	−	1.00702i
$556$	−9.00910	−	12.6515i	−0.382071	−	0.536543i
$557$	−8.30420	+	34.2304i	−0.351860	+	1.45039i	0.470994	+	0.882136i	$0.343895\pi$
$557$	−8.30420	+	34.2304i	−0.351860	+	1.45039i	−0.822855	+	0.568252i	$0.807620\pi$
$558$	−21.3245	−	37.4537i	−0.902738	−	1.58554i
$559$	−31.1122	+	26.9588i	−1.31590	+	1.14024i
$560$	15.3316	−	39.8170i	0.647879	−	1.68258i
$561$	−0.917857	−	0.504778i	−0.0387520	−	0.0213118i
$562$	−10.5601	+	54.7909i	−0.445450	+	2.31122i
$563$	4.98263	−	2.56873i	0.209993	−	0.108259i	−0.350022	−	0.936742i	$-0.613826\pi$
$563$	4.98263	−	2.56873i	0.209993	−	0.108259i	0.560015	+	0.828483i	$0.310795\pi$
$564$	−1.46205	−	5.52284i	−0.0615633	−	0.232554i
$565$	13.6775	+	2.63613i	0.575419	+	0.110903i
$566$	19.8106	+	5.81692i	0.832702	+	0.244503i
$567$	22.4927	−	7.81533i	0.944604	−	0.328213i
$568$	0.251248	+	0.289956i	0.0105421	+	0.0121663i
$569$	18.4561	−	25.9179i	0.773719	−	1.08654i	−0.220095	−	0.975478i	$-0.570637\pi$
$569$	18.4561	−	25.9179i	0.773719	−	1.08654i	0.993814	−	0.111057i	$-0.0354237\pi$
$570$	34.4392	−	70.3567i	1.44250	−	2.94692i
$571$	13.7740	−	9.80841i	0.576424	−	0.410469i	−0.254324	−	0.967119i	$-0.581853\pi$
$571$	13.7740	−	9.80841i	0.576424	−	0.410469i	0.830747	+	0.556650i	$0.187913\pi$
$572$	3.20213	−	1.28194i	0.133888	−	0.0536006i
$573$	−14.0151	+	5.17938i	−0.585489	+	0.216372i
$574$	0.669594	−	0.398507i	0.0279483	−	0.0166334i
$575$	−37.1915	+	41.1743i	−1.55099	+	1.71709i
$576$	−2.17785	−	24.3552i	−0.0907437	−	1.01480i
$577$	1.59060	+	33.3908i	0.0662176	+	1.39008i	0.750504	+	0.660866i	$0.229811\pi$
$577$	1.59060	+	33.3908i	0.0662176	+	1.39008i	−0.684287	+	0.729213i	$0.739886\pi$
$578$	15.6585	−	19.9114i	0.651306	−	0.828204i
$579$	−6.44051	−	0.789716i	−0.267658	−	0.0328195i
$580$	−1.58633	−	5.40253i	−0.0658686	−	0.224328i
$581$	9.53327	−	4.50724i	0.395507	−	0.186992i
$582$	6.87907	+	12.6887i	0.285147	+	0.525962i
$583$	−1.68549	+	1.32548i	−0.0698057	+	0.0548958i
$584$	−0.225565	−	0.236566i	−0.00933395	−	0.00978917i
$585$	7.28198	−	71.6988i	0.301073	−	2.96438i
$586$	−20.7940	−	0.990543i	−0.858994	−	0.0409189i
$587$	12.2572	−	19.0725i	0.505908	−	0.787208i	−0.490540	−	0.871419i	$-0.663201\pi$
$587$	12.2572	−	19.0725i	0.505908	−	0.787208i	0.996448	+	0.0842106i	$0.0268369\pi$
$588$	22.7220	+	9.10490i	0.937040	+	0.375480i
$589$	−11.1893	+	38.1074i	−0.461049	+	1.57019i
$590$	−9.16938	+	7.21088i	−0.377497	+	0.296867i
$591$	−0.406401	+	15.1559i	−0.0167171	+	0.623431i
$592$	−1.28433	+	13.4502i	−0.0527858	+	0.552798i
$593$	−11.9504	+	12.5332i	−0.490744	+	0.514677i	−0.921809	−	0.387643i	$-0.873289\pi$
$593$	−11.9504	+	12.5332i	−0.490744	+	0.514677i	0.431066	+	0.902321i	$0.358138\pi$
$594$	−1.42125	−	2.65962i	−0.0583148	−	0.109126i
$595$	−22.3107	−	2.90672i	−0.914647	−	0.119164i
$596$	25.5183	−	16.3996i	1.04527	−	0.671753i
$597$	2.30021	−	0.727678i	0.0941414	−	0.0297819i
$598$	−22.1696	+	52.2292i	−0.906582	+	2.13581i
$599$	−11.3734	−	6.56643i	−0.464704	−	0.268297i	0.249316	−	0.968422i	$-0.419794\pi$
$599$	−11.3734	−	6.56643i	−0.464704	−	0.268297i	−0.714020	+	0.700125i	$0.753127\pi$
$600$	0.486161	−	0.585214i	0.0198474	−	0.0238912i
$601$	−1.21481	+	8.44918i	−0.0495531	+	0.344649i	0.949929	+	0.312466i	$0.101155\pi$
$601$	−1.21481	+	8.44918i	−0.0495531	+	0.344649i	−0.999482	+	0.0321832i	$0.989754\pi$
$602$	4.00450	+	36.7817i	0.163211	+	1.49911i
$603$	−4.64483	+	30.9811i	−0.189152	+	1.26165i
$604$	10.8416	−	15.2249i	0.441140	−	0.619494i
$605$	43.6319	−	8.40935i	1.77389	−	0.341889i
$606$	40.4824	+	27.5772i	1.64449	+	1.12025i
$607$	−1.47082	−	6.06281i	−0.0596988	−	0.246082i	0.934142	−	0.356903i	$-0.116167\pi$
$607$	−1.47082	−	6.06281i	−0.0596988	−	0.246082i	−0.993840	+	0.110821i	$0.964652\pi$
$608$	−29.1008	+	33.5841i	−1.18019	+	1.36201i
$609$	−3.02425	+	0.843620i	−0.122549	+	0.0341852i
$610$	41.1463	+	26.4431i	1.66597	+	1.07065i
$611$	−1.82470	+	9.46747i	−0.0738197	+	0.383013i
$612$	−11.9822	+	4.06653i	−0.484353	+	0.164380i
$613$	3.27562	−	8.18210i	0.132301	−	0.330472i	−0.847394	−	0.530964i	$-0.821830\pi$
$613$	3.27562	−	8.18210i	0.132301	−	0.330472i	0.979695	+	0.200492i	$0.0642541\pi$
$614$	7.14571	+	2.47315i	0.288377	+	0.0998083i
$615$	−1.01275	+	0.217122i	−0.0408381	+	0.00875520i
$616$	0.00648081	−	0.0283479i	0.000261119	−	0.00114217i
$617$	13.1685	−	28.8349i	0.530142	−	1.16085i	−0.435313	−	0.900279i	$-0.643362\pi$
$617$	13.1685	−	28.8349i	0.530142	−	1.16085i	0.965455	−	0.260570i	$-0.0839106\pi$
$618$	−38.9489	+	6.42915i	−1.56675	+	0.258618i
$619$	−14.8675	+	0.708227i	−0.597576	+	0.0284661i	−0.344191	−	0.938900i	$-0.611847\pi$
$619$	−14.8675	+	0.708227i	−0.597576	+	0.0284661i	−0.253385	+	0.967366i	$0.581544\pi$
$620$	−29.4466	+	51.0029i	−1.18260	+	2.04833i
$621$	23.8690	+	7.16038i	0.957830	+	0.287336i
$622$	44.2408			1.77390
$623$	−4.02510	+	8.06821i	−0.161262	+	0.323246i
$624$	−14.2661	+	37.9003i	−0.571101	+	1.51723i
$625$	−50.7716	+	4.84810i	−2.03086	+	0.193924i
$626$	11.3528	−	46.7967i	0.453748	−	1.87037i
$627$	−0.854087	+	2.64436i	−0.0341090	+	0.105606i
$628$	6.43622	+	2.22760i	0.256833	+	0.0888908i
$629$	7.05233	−	1.01397i	0.281195	−	0.0404297i
$630$	−49.2557	−	42.0608i	−1.96239	−	1.67574i
$631$	−9.08534	−	7.87249i	−0.361682	−	0.313399i	0.454995	−	0.890494i	$-0.349641\pi$
$631$	−9.08534	−	7.87249i	−0.361682	−	0.313399i	−0.816677	+	0.577095i	$0.804186\pi$
$632$	0.00128177	−	0.0269077i	5.09862e−5	−	0.00107033i
$633$	−3.86852	+	1.02410i	−0.153760	+	0.0407044i
$634$	−11.0636	−	31.9662i	−0.439392	−	1.26954i
$635$	5.74252	+	23.6710i	0.227885	+	0.939355i
$636$	−1.92552	+	25.8300i	−0.0763518	+	1.02423i
$637$	−27.8704	−	30.4932i	−1.10426	−	1.20818i
$638$	0.165176	+	0.361685i	0.00653938	+	0.0143192i
$639$	−28.2115	+	11.0977i	−1.11603	+	0.439018i
$640$	−1.00707	+	0.717133i	−0.0398080	+	0.0283472i
$641$	−21.9841	−	17.2885i	−0.868319	−	0.682853i	0.0811546	−	0.996702i	$-0.474139\pi$
$641$	−21.9841	−	17.2885i	−0.868319	−	0.682853i	−0.949473	+	0.313848i	$0.898382\pi$
$642$	35.8893	−	43.2015i	1.41644	−	1.70503i
$643$			28.0339i			1.10555i	0.833330	+	0.552775i	$0.186431\pi$
$643$			28.0339i			1.10555i	−0.833330	+	0.552775i	$0.813569\pi$
$644$	13.6905	+	21.6523i	0.539483	+	0.853221i
$645$	10.5987	−	48.0255i	0.417324	−	1.89100i
$646$	20.6311	+	10.6360i	0.811718	+	0.418470i
$647$	2.88113	−	3.66365i	0.113269	−	0.144033i	−0.726113	−	0.687576i	$-0.758675\pi$
$647$	2.88113	−	3.66365i	0.113269	−	0.144033i	0.839382	+	0.543543i	$0.182917\pi$
$648$	−0.331077	−	0.0845495i	−0.0130060	−	0.00332142i
$649$	0.285567	−	0.299494i	0.0112095	−	0.0117562i
$650$	−124.508	+	56.8607i	−4.88359	+	2.23026i
$651$	28.2147	+	16.8040i	1.10582	+	0.658602i
$652$	0.180193	+	1.25327i	0.00705690	+	0.0490818i
$653$	−33.1808	+	8.04959i	−1.29847	+	0.315005i	−0.824662	−	0.565625i	$-0.808635\pi$
$653$	−33.1808	+	8.04959i	−1.29847	+	0.315005i	−0.473805	+	0.880630i	$0.657120\pi$
$654$	2.92655	+	25.1175i	0.114437	+	0.982174i
$655$	−13.4789	−	26.1453i	−0.526663	−	1.02158i
$656$	0.581359	+	0.0276935i	0.0226983	+	0.00108125i
$657$	23.5580	−	10.5877i	0.919084	−	0.413067i
$658$	6.06240	+	6.19174i	0.236337	+	0.241379i
$659$	−0.214021	−	1.48855i	−0.00833707	−	0.0579856i	0.985228	−	0.171247i	$-0.0547795\pi$
$659$	−0.214021	−	1.48855i	−0.00833707	−	0.0579856i	−0.993565	+	0.113261i	$0.963870\pi$
$660$	−2.15524	+	3.51207i	−0.0838925	+	0.136707i
$661$	2.72589	−	28.5468i	0.106025	−	1.11034i	−0.773274	−	0.634072i	$-0.781382\pi$
$661$	2.72589	−	28.5468i	0.106025	−	1.11034i	0.879299	−	0.476270i	$-0.158012\pi$
$662$	−27.3676	−	6.63931i	−1.06367	−	0.258044i
$663$	21.1959	+	2.59898i	0.823182	+	0.100936i
$664$	−0.149783	−	0.0215356i	−0.00581272	−	0.000835743i
$665$	3.62942	+	59.5766i	0.140743	+	2.31028i
$666$	18.6059	+	8.63268i	0.720962	+	0.334510i
$667$	−3.08229	−	1.13848i	−0.119347	−	0.0440822i
$668$	−11.3822	−	6.57150i	−0.440389	−	0.254259i
$669$	4.43257	−	25.8831i	0.171373	−	1.00070i
$670$	79.1098	−	31.6708i	3.05628	−	1.22355i
$671$	−1.57830	−	0.720788i	−0.0609298	−	0.0278257i
$672$	20.9057	+	30.2171i	0.806455	+	1.16565i
$673$	11.1555	+	24.4272i	0.430014	+	0.941600i	0.993324	+	0.115354i	$0.0368004\pi$
$673$	11.1555	+	24.4272i	0.430014	+	0.941600i	−0.563310	+	0.826246i	$0.690472\pi$
$674$	−19.3789	+	55.9917i	−0.746448	+	2.15672i
$675$	30.8239	+	51.6122i	1.18641	+	1.98655i
$676$	−31.8951	+	30.4119i	−1.22673	+	1.16969i
$677$	8.83250	+	1.70233i	0.339461	+	0.0654257i	0.356133	−	0.934435i	$-0.384095\pi$
$677$	8.83250	+	1.70233i	0.339461	+	0.0654257i	−0.0166722	+	0.999861i	$0.505307\pi$
$678$	−8.42713	+	8.37658i	−0.323642	+	0.321701i
$679$	−9.32980	−	5.82275i	−0.358045	−	0.223457i
$680$	0.244007	+	0.211433i	0.00935724	+	0.00810809i
$681$	−0.193259	−	9.29371i	−0.00740571	−	0.356136i
$682$	1.54569	−	3.86095i	0.0591875	−	0.147843i
$683$	4.15640	+	21.5654i	0.159040	+	0.825179i	0.970561	+	0.240855i	$0.0774279\pi$
$683$	4.15640	+	21.5654i	0.159040	+	0.825179i	−0.811521	+	0.584323i	$0.801360\pi$
$684$	16.6087	+	29.1710i	0.635049	+	1.11538i
$685$	84.5491	−	24.8259i	3.23045	−	0.948547i
$686$	−36.7906	+	4.99471i	−1.40467	+	0.190699i
$687$	36.4815	+	13.7321i	1.39186	+	0.523911i
$688$	−12.6635	+	24.5638i	−0.482792	+	0.936486i
$689$	21.8565	−	37.8566i	0.832668	−	1.44222i
$690$	−15.9922	−	65.8713i	−0.608812	−	2.50768i
$691$	−21.6951	−	37.5769i	−0.825319	−	1.42949i	−0.901676	−	0.432413i	$-0.857662\pi$
$691$	−21.6951	−	37.5769i	−0.825319	−	1.42949i	0.0763569	−	0.997081i	$-0.475671\pi$
$692$	−5.50017	−	8.55843i	−0.209085	−	0.325343i
$693$	1.94190	+	1.22824i	0.0737668	+	0.0466571i
$694$	19.5599	−	42.8302i	0.742483	−	1.62581i
$695$	−22.6631	−	21.6092i	−0.859660	−	0.819684i
$696$	0.0428746	+	0.0138478i	0.00162516	+	0.000524900i
$697$	−0.0580835	−	0.301366i	−0.00220007	−	0.0114150i
$698$	5.20880	+	6.62353i	0.197156	+	0.250704i
$699$	3.57335	−	6.49756i	0.135157	−	0.245760i
$700$	−10.8908	+	60.8316i	−0.411632	+	2.29922i
$701$	37.0576	+	23.8155i	1.39965	+	0.899499i	0.999854	−	0.0171064i	$-0.00544541\pi$
$701$	37.0576	+	23.8155i	1.39965	+	0.899499i	0.399794	+	0.916605i	$0.369082\pi$
$702$	47.0500	+	39.5673i	1.77579	+	1.49337i
$703$	−6.18196	−	17.8616i	−0.233157	−	0.673664i
$704$	1.70768	−	1.62827i	0.0643607	−	0.0613678i
$705$	−5.00180	−	10.3760i	−0.188379	−	0.390781i
$706$	14.1497	+	16.3297i	0.532532	+	0.614575i
$707$	−37.1978	−	3.05537i	−1.39897	−	0.114909i
$708$	−0.341608	−	4.98709i	−0.0128384	−	0.187426i
$709$	−3.38671	−	35.4672i	−0.127191	−	1.33200i	−0.803466	−	0.595351i	$-0.797013\pi$
$709$	−3.38671	−	35.4672i	−0.127191	−	1.33200i	0.676276	−	0.736649i	$-0.263593\pi$
$710$	64.8198	+	50.9748i	2.43264	+	1.91305i
$711$	1.97128	+	0.802977i	0.0739289	+	0.0301140i
$712$	0.112054	−	0.0646943i	0.00419939	−	0.00242452i
$713$	13.6293	+	31.5499i	0.510422	+	1.18155i
$714$	12.7640	−	14.3329i	0.477680	−	0.536396i
$715$	5.85026	−	3.75973i	0.218787	−	0.140606i
$716$	−17.9924	−	44.9428i	−0.672407	−	1.67959i
$717$	41.0525	−	17.4338i	1.53314	−	0.651076i
$718$	−2.10914	−	0.511672i	−0.0787125	−	0.0190954i
$719$	9.84502	+	7.01061i	0.367157	+	0.261451i	0.748713	−	0.662894i	$-0.230672\pi$
$719$	9.84502	+	7.01061i	0.367157	+	0.261451i	−0.381556	+	0.924346i	$0.624612\pi$
$720$	−13.3506	−	46.5010i	−0.497546	−	1.73299i
$721$	23.3954	−	18.9052i	0.871292	−	0.704066i
$722$	6.61687	−	22.5350i	0.246254	−	0.838665i
$723$	6.65717	−	15.4176i	0.247583	−	0.573387i
$724$	0.0610314	+	0.118384i	0.00226822	+	0.00439972i
$725$	−3.63219	−	7.04546i	−0.134896	−	0.261662i
$726$	−15.0258	+	34.7988i	−0.557658	+	1.29150i
$727$	3.99047	−	13.5903i	0.147998	−	0.504036i	−0.851805	−	0.523859i	$-0.824492\pi$
$727$	3.99047	−	13.5903i	0.147998	−	0.504036i	0.999804	+	0.0198228i	$0.00631020\pi$
$728$	0.0921314	+	0.585616i	0.00341462	+	0.0217044i
$729$	15.0049	−	22.4467i	0.555736	−	0.831359i
$730$	−57.2277	−	40.7517i	−2.11809	−	1.50829i
$731$	14.1623	+	3.43573i	0.523811	+	0.127075i
$732$	−19.2919	+	8.19269i	−0.713050	+	0.302811i
$733$	0.756301	+	1.88915i	0.0279346	+	0.0697773i	0.941679	−	0.336511i	$-0.109247\pi$
$733$	0.756301	+	1.88915i	0.0279346	+	0.0697773i	−0.913745	+	0.406289i	$0.866823\pi$
$734$	−36.1419	+	23.2270i	−1.33402	+	0.857325i
$735$	48.4579	+	9.35546i	1.78740	+	0.345082i
$736$	−0.792866	+	38.4457i	−0.0292254	+	1.41713i
$737$	−2.61795	+	1.51147i	−0.0964335	+	0.0556759i
$738$	0.333307	−	0.818257i	0.0122692	−	0.0301205i
$739$	−0.658467	−	0.517824i	−0.0242221	−	0.0190485i	0.605975	−	0.795484i	$-0.292783\pi$
$739$	−0.658467	−	0.517824i	−0.0242221	−	0.0190485i	−0.630197	+	0.776436i	$0.717026\pi$
$740$	−2.66419	−	27.9007i	−0.0979376	−	1.02565i
$741$	−3.87141	−	56.5183i	−0.142220	−	2.07625i
$742$	−16.7923	−	35.5174i	−0.616465	−	1.30389i
$743$	−8.59792	−	9.92253i	−0.315427	−	0.364022i	0.575791	−	0.817597i	$-0.304694\pi$
$743$	−8.59792	−	9.92253i	−0.315427	−	0.364022i	−0.891218	+	0.453575i	$0.850149\pi$
$744$	−0.204636	−	0.424506i	−0.00750233	−	0.0155631i
$745$	44.2621	−	42.2039i	1.62164	−	1.54623i
$746$	−2.45830	−	7.10280i	−0.0900048	−	0.260052i
$747$	5.54285	−	10.5946i	0.202802	−	0.387638i
$748$	−1.02718	−	0.660126i	−0.0375573	−	0.0241366i
$749$	−7.54170	+	42.1251i	−0.275568	+	1.53922i
$750$	44.7440	−	81.3596i	1.63382	−	2.97083i
$751$	−9.90710	−	12.5979i	−0.361515	−	0.459704i	0.570939	−	0.820993i	$-0.306579\pi$
$751$	−9.90710	−	12.5979i	−0.361515	−	0.459704i	−0.932454	+	0.361289i	$0.882337\pi$
$752$	1.22494	+	6.35559i	0.0446689	+	0.231764i
$753$	43.6515	+	14.0987i	1.59075	+	0.513787i
$754$	−5.86653	−	5.59373i	−0.213647	−	0.203712i
$755$	15.6544	−	34.2783i	0.569721	−	1.24751i
$756$	26.7795	−	7.29682i	0.973961	−	0.265383i
$757$	−5.76106	−	8.96438i	−0.209389	−	0.325816i	0.720635	−	0.693315i	$-0.243851\pi$
$757$	−5.76106	−	8.96438i	−0.209389	−	0.325816i	−0.930024	+	0.367499i	$0.880214\pi$
$758$	4.02249	+	6.96716i	0.146103	+	0.253058i
$759$	0.894104	+	2.23225i	0.0324539	+	0.0810257i
$760$	0.428260	−	0.741767i	0.0155346	−	0.0269067i
$761$	11.1873	−	21.7003i	0.405539	−	0.786636i	−0.594306	−	0.804239i	$-0.702573\pi$
$761$	11.1873	−	21.7003i	0.405539	−	0.786636i	0.999845	+	0.0176027i	$0.00560341\pi$
$762$	−19.4458	−	7.31961i	−0.704446	−	0.265162i
$763$	−11.3835	−	15.5459i	−0.412109	−	0.562799i
$764$	−16.7109	+	4.90675i	−0.604578	+	0.177520i
$765$	−22.1701	+	12.6227i	−0.801563	+	0.456374i
$766$	−9.36196	−	48.5745i	−0.338261	−	1.75507i
$767$	−3.13542	+	7.83190i	−0.113213	+	0.282793i
$768$	0.565087	+	27.1747i	0.0203908	+	0.980581i
$769$	18.8359	+	16.3214i	0.679241	+	0.588566i	0.924634	−	0.380858i	$-0.124371\pi$
$769$	18.8359	+	16.3214i	0.679241	+	0.588566i	−0.245392	+	0.969424i	$0.578917\pi$
$770$	0.214677	−	6.24640i	0.00773644	−	0.225105i
$771$	−14.4389	+	14.3523i	−0.520006	+	0.516886i
$772$	−7.42682	−	1.43140i	−0.267297	−	0.0515173i
$773$	−26.1137	+	24.8994i	−0.939246	+	0.895569i	−0.994693	−	0.102892i	$-0.967190\pi$
$773$	−26.1137	+	24.8994i	−0.939246	+	0.895569i	0.0554463	+	0.998462i	$0.482342\pi$
$774$	28.7676	+	30.5364i	1.03403	+	1.09761i
$775$	−27.1166	+	78.3482i	−0.974056	+	2.81435i
$776$	0.0655604	+	0.143557i	0.00235348	+	0.00515341i
$777$	−15.5765	+	1.27445i	−0.558805	+	0.0457206i
$778$	2.46638	+	1.12636i	0.0884239	+	0.0403818i
$779$	−0.755869	+	0.302604i	−0.0270818	+	0.0108419i
$780$	14.1796	−	82.7992i	0.507712	−	2.96469i
$781$	−2.53342	−	1.46267i	−0.0906529	−	0.0523385i
$782$	19.6129	−	4.33190i	0.701357	−	0.154908i
$783$	−2.15912	+	2.83064i	−0.0771607	+	0.101159i
$784$	−24.9774	−	12.0503i	−0.892051	−	0.430369i
$785$	13.5920	+	1.95424i	0.485121	+	0.0697498i
$786$	24.9056	+	3.05385i	0.888352	+	0.108927i
$787$	−13.1145	−	3.18153i	−0.467480	−	0.113409i	−0.00490196	−	0.999988i	$-0.501560\pi$
$787$	−13.1145	−	3.18153i	−0.467480	−	0.113409i	−0.462578	+	0.886579i	$0.653076\pi$
$788$	−1.67989	+	17.5926i	−0.0598435	+	0.626710i
$789$	26.2498	−	42.7755i	0.934518	−	1.52285i
$790$	−0.823988	−	5.73096i	−0.0293162	−	0.203899i
$791$	2.43543	−	8.71996i	0.0865941	−	0.310046i
$792$	−0.0135167	−	0.0300750i	−0.000480295	−	0.00106867i
$793$	35.3322	+	1.68308i	1.25468	+	0.0597679i
$794$	15.2936	+	29.6654i	0.542749	+	1.05279i
$795$	6.04379	+	51.8716i	0.214351	+	1.83970i
$796$	2.73290	−	0.662995i	0.0968652	−	0.0234992i
$797$	−4.97328	−	34.5899i	−0.176163	−	1.22524i	−0.865542	−	0.500837i	$-0.833026\pi$
$797$	−4.97328	−	34.5899i	−0.176163	−	1.22524i	0.689379	−	0.724401i	$-0.257884\pi$
$798$	−43.7442	−	26.0531i	−1.54853	−	0.922269i
$799$	3.10469	−	1.41787i	0.109836	−	0.0501605i
$800$	−64.0152	+	67.1373i	−2.26328	+	2.37366i
$801$	1.87442	+	10.0505i	0.0662295	+	0.355116i
$802$	−5.28035	+	6.71451i	−0.186456	+	0.237098i
$803$	2.21522	+	1.14203i	0.0781735	+	0.0403012i
$804$	−7.86939	+	35.6582i	−0.277532	+	1.25757i
$805$	35.3655	+	37.6423i	1.24647	+	1.32672i
$806$			84.7835i			2.98637i
$807$	−29.3257	+	35.3007i	−1.03231	+	1.24264i
$808$	0.421004	+	0.331081i	0.0148109	+	0.0116474i
$809$	−4.61348	+	3.28524i	−0.162201	+	0.115503i	−0.658275	−	0.752777i	$-0.728714\pi$
$809$	−4.61348	+	3.28524i	−0.162201	+	0.115503i	0.496074	+	0.868280i	$0.334774\pi$
$810$	−73.3125	−	4.37705i	−2.57594	−	0.153794i
$811$	16.7217	+	36.6154i	0.587178	+	1.28574i	0.937132	+	0.348974i	$0.113470\pi$
$811$	16.7217	+	36.6154i	0.587178	+	1.28574i	−0.349954	+	0.936767i	$0.613803\pi$
$812$	−3.58413	+	0.740150i	−0.125778	+	0.0259742i
$813$	1.29234	−	17.3361i	0.0453242	−	0.608005i
$814$	0.466619	+	1.92343i	0.0163550	+	0.0674162i
$815$	0.834939	+	2.41240i	0.0292466	+	0.0845026i
$816$	13.8582	−	3.66865i	0.485134	−	0.128428i
$817$	1.83953	−	38.6164i	0.0643569	−	1.35102i
$818$	22.4822	+	19.4810i	0.786072	+	0.681136i
$819$	−46.0585	−	8.53223i	−1.60942	−	0.298140i
$820$	−1.19503	+	0.171820i	−0.0417324	+	0.00600021i
$821$	−46.8045	−	16.1992i	−1.63349	−	0.565356i	−0.652225	−	0.758026i	$-0.726164\pi$
$821$	−46.8045	−	16.1992i	−1.63349	−	0.565356i	−0.981264	+	0.192670i	$0.938285\pi$
$822$	−23.1028	+	71.5293i	−0.805804	+	2.49487i
$823$	−11.8440	+	48.8216i	−0.412856	+	1.70182i	0.263012	+	0.964792i	$0.415284\pi$
$823$	−11.8440	+	48.8216i	−0.412856	+	1.70182i	−0.675868	+	0.737023i	$0.736231\pi$
$824$	−0.429686	+	0.0410300i	−0.0149688	+	0.00142935i
$825$	−2.04356	+	5.42905i	−0.0711475	+	0.189015i
$826$	4.18327	+	6.32355i	0.145555	+	0.220024i
$827$	8.42773			0.293061			0.146531	−	0.989206i	$-0.453189\pi$
$827$	8.42773			0.293061			0.146531	+	0.989206i	$0.453189\pi$
$828$	27.1871	+	10.2282i	0.944818	+	0.355455i
$829$	16.5714	−	28.7025i	0.575549	−	0.996881i	−0.420432	−	0.907324i	$-0.638122\pi$
$829$	16.5714	−	28.7025i	0.575549	−	0.996881i	0.995982	−	0.0895568i	$-0.0285451\pi$
$830$	−32.4875	+	1.54757i	−1.12766	+	0.0537170i
$831$	−25.9185	+	4.27827i	−0.899102	+	0.148412i
$832$	−19.9824	+	43.7554i	−0.692766	+	1.51695i
$833$	−3.07008	+	14.2980i	−0.106372	+	0.495397i
$834$	26.1184	−	5.59946i	0.904405	−	0.193894i
$835$	−25.0412	−	8.66686i	−0.866588	−	0.299929i
$836$	−1.20387	+	3.00712i	−0.0416367	+	0.104003i
$837$	37.0117	−	4.08685i	1.27931	−	0.141262i
$838$	−6.12109	+	31.7593i	−0.211450	+	1.09711i
$839$	−46.6716	−	29.9940i	−1.61128	−	1.03551i	−0.961278	−	0.275580i	$-0.911130\pi$
$839$	−46.6716	−	29.9940i	−1.61128	−	1.03551i	−0.650006	−	0.759929i	$-0.725234\pi$
$840$	−0.505887	−	0.495634i	−0.0174548	−	0.0171010i
$841$	−18.6836	+	21.5620i	−0.644261	+	0.743516i
$842$	−5.49088	−	22.6337i	−0.189228	−	0.780010i
$843$	−39.8433	−	27.1418i	−1.37228	−	0.934815i
$844$	−4.58031	+	0.882783i	−0.157661	+	0.0303867i
$845$	−51.5400	+	72.3778i	−1.77303	+	2.48987i
$846$	9.71711	+	1.45684i	0.334081	+	0.0500870i
$847$	−3.12592	−	28.7119i	−0.107408	−	0.986552i
$848$	4.17622	−	29.0462i	0.143412	−	0.997452i
$849$	−11.3990	+	13.7215i	−0.391212	+	0.470920i
$850$	41.9624	+	24.2270i	1.43930	+	0.830979i
$851$	−13.9930	−	8.46825i	−0.479673	−	0.290288i
$852$	−33.6914	+	10.6584i	−1.15425	+	0.365150i
$853$	−20.3476	+	13.0766i	−0.696687	+	0.447734i	−0.840458	−	0.541877i	$-0.817714\pi$
$853$	−20.3476	+	13.0766i	−0.696687	+	0.447734i	0.143770	+	0.989611i	$0.454077\pi$
$854$	19.3190	−	25.2473i	0.661084	−	0.863945i
$855$	44.0116	+	51.4139i	1.50516	+	1.75832i
$856$	0.423787	−	0.444455i	0.0144847	−	0.0151912i
$857$	2.42673	−	25.4139i	0.0828955	−	0.868121i	−0.854407	−	0.519604i	$-0.826079\pi$
$857$	2.42673	−	25.4139i	0.0828955	−	0.868121i	0.937303	−	0.348517i	$-0.113315\pi$
$858$	−0.159012	+	5.93002i	−0.00542856	+	0.202447i
$859$	16.3071	−	12.8241i	0.556392	−	0.437552i	−0.299954	−	0.953954i	$-0.596971\pi$
$859$	16.3071	−	12.8241i	0.556392	−	0.437552i	0.856346	+	0.516402i	$0.172729\pi$
$860$	16.1510	−	55.0051i	0.550743	−	1.87566i
$861$	0.0867628	+	0.667607i	0.00295687	+	0.0227520i
$862$	−14.2215	+	22.1291i	−0.484386	+	0.753719i
$863$	31.9190	+	1.52049i	1.08654	+	0.0517581i	0.583196	−	0.812331i	$-0.301802\pi$
$863$	31.9190	+	1.52049i	1.08654	+	0.0517581i	0.503339	+	0.864089i	$0.332105\pi$
$864$	39.5693	+	13.0437i	1.34618	+	0.443756i
$865$	−14.1545	−	14.8448i	−0.481268	−	0.504740i
$866$	41.6990	−	32.7924i	1.41699	−	1.11433i
$867$	10.4307	+	19.2398i	0.354246	+	0.653418i
$868$	31.4726	+	21.7891i	1.06825	+	0.739570i
$869$	0.0578667	+	0.197076i	0.00196299	+	0.00668534i
$870$	9.61188	+	1.17858i	0.325873	+	0.0399576i
$871$	38.0951	−	48.4418i	1.29080	−	1.64139i
$872$	0.0131564	+	0.276187i	0.000445532	+	0.00935286i
$873$	−12.4207	+	1.11066i	−0.420376	+	0.0375902i
$874$	−21.1310	−	48.9151i	−0.714766	−	1.65458i
$875$	0.937061	+	70.7430i	0.0316784	+	2.39155i
$876$	28.2392	−	10.4360i	0.954113	−	0.352600i
$877$	−9.53498	+	3.81723i	−0.321973	+	0.128899i	−0.527018	−	0.849854i	$-0.676690\pi$
$877$	−9.53498	+	3.81723i	−0.321973	+	0.128899i	0.205045	+	0.978753i	$0.434266\pi$
$878$	−59.5849	+	42.4302i	−2.01089	+	1.43195i
$879$	7.90755	−	16.1545i	0.266715	−	0.544879i
$880$	2.70795	−	3.80278i	0.0912849	−	0.128192i
$881$	−3.45507	−	3.98736i	−0.116404	−	0.134338i	0.694557	−	0.719438i	$-0.255601\pi$
$881$	−3.45507	−	3.98736i	−0.116404	−	0.134338i	−0.810961	+	0.585100i	$0.801055\pi$
$882$	−29.8676	+	29.6695i	−1.00569	+	0.999025i
$883$	−21.5931	−	6.34032i	−0.726667	−	0.213369i	−0.102581	−	0.994725i	$-0.532710\pi$
$883$	−21.5931	−	6.34032i	−0.726667	−	0.213369i	−0.624086	+	0.781356i	$0.714528\pi$
$884$	24.4419	+	4.71080i	0.822071	+	0.158441i
$885$	−2.57919	−	9.74282i	−0.0866986	−	0.327501i
$886$	−14.0584	+	7.24759i	−0.472300	+	0.243487i
$887$	7.27163	−	37.7288i	0.244157	−	1.26681i	−0.628243	−	0.778017i	$-0.716226\pi$
$887$	7.27163	−	37.7288i	0.244157	−	1.26681i	0.872401	−	0.488792i	$-0.162562\pi$
$888$	0.196515	+	0.108074i	0.00659462	+	0.00362673i
$889$	15.6395	−	2.46046i	0.524531	−	0.0825213i
$890$	21.0172	−	18.2115i	0.704499	−	0.610452i
$891$	2.59638	−	0.216431i	0.0869819	−	0.00725070i
$892$	7.21646	−	29.7467i	0.241625	−	0.995992i
$893$	−5.25214	−	7.37560i	−0.175756	−	0.246815i
$894$	8.49647	+	51.4730i	0.284164	+	1.72152i
$895$	−52.7689	−	82.1100i	−1.76387	−	2.74463i
$896$	0.410969	+	0.690533i	0.0137295	+	0.0230691i
$897$	−33.8352	−	35.4731i	−1.12972	−	1.18441i
$898$	20.4366	+	35.3972i	0.681978	+	1.18122i
$899$	−4.90430	+	0.233621i	−0.163568	+	0.00779168i
$900$	31.7341	+	62.4756i	1.05780	+	2.08252i
$901$	−15.4042	+	1.47092i	−0.513189	+	0.0490036i
$902$	0.0818040	−	0.0240198i	0.00272377	−	0.000799772i
$903$	−30.5467	−	9.42117i	−1.01653	−	0.313517i
$904$	−0.0981884	+	0.0850807i	−0.00326570	+	0.00282974i
$905$	0.165998	+	0.211084i	0.00551796	+	0.00701666i
$906$	16.6479	+	27.4985i	0.553091	+	0.913576i
$907$	−38.1054	+	13.1884i	−1.26527	+	0.437914i	−0.875598	−	0.483041i	$-0.839532\pi$
$907$	−38.1054	+	13.1884i	−1.26527	+	0.437914i	−0.389671	+	0.920954i	$0.627411\pi$
$908$	0.515570	−	10.8231i	0.0171098	−	0.359178i
$909$	−35.7392	+	22.6655i	−1.18539	+	0.751768i
$910$	43.2648	+	119.846i	1.43421	+	3.97284i
$911$	13.5049	+	3.96539i	0.447437	+	0.131379i	0.497686	−	0.867357i	$-0.334183\pi$
$911$	13.5049	+	3.96539i	0.447437	+	0.131379i	−0.0502490	+	0.998737i	$0.516002\pi$
$912$	−16.5141	−	34.2575i	−0.546836	−	1.13438i
$913$	1.13295	−	0.218358i	0.0374951	−	0.00722658i
$914$	19.8910	+	1.89936i	0.657937	+	0.0628254i
$915$	−35.0670	+	23.5806i	−1.15928	+	0.779549i
$916$	41.3308	+	18.8752i	1.36561	+	0.623653i
$917$	−17.6540	+	7.34035i	−0.582985	+	0.242400i
$918$	1.74834	−	21.6919i	0.0577037	−	0.715939i
$919$	−3.75342	+	2.16704i	−0.123814	+	0.0714841i	−0.560628	−	0.828068i	$-0.689440\pi$
$919$	−3.75342	+	2.16704i	−0.123814	+	0.0714841i	0.436814	+	0.899552i	$0.356107\pi$
$920$	−0.125233	−	0.730521i	−0.00412881	−	0.0240846i
$921$	−4.40907	+	4.82092i	−0.145284	+	0.158855i
$922$	−44.7259	−	23.0578i	−1.47297	−	0.759369i
$923$	59.0298	+	8.48720i	1.94299	+	0.279360i
$924$	2.16042	+	1.58302i	0.0710726	+	0.0520776i
$925$	−11.1162	−	37.8582i	−0.365497	−	1.24477i
$926$	28.7488	+	20.4719i	0.944744	+	0.672749i
$927$	8.24019	−	33.0961i	0.270643	−	1.08702i
$928$	−5.10008	−	2.04176i	−0.167418	−	0.0670242i
$929$	38.6661	−	9.38028i	1.26859	−	0.307757i	0.455680	−	0.890144i	$-0.349396\pi$
$929$	38.6661	−	9.38028i	1.26859	−	0.307757i	0.812912	+	0.582386i	$0.197881\pi$
$930$	−60.4554	−	81.2674i	−1.98241	−	2.66486i
$931$	38.7864	+	0.818883i	1.27117	+	0.0268378i
$932$	4.67307	−	7.27143i	0.153071	−	0.238184i
$933$	−15.1523	+	35.0917i	−0.496062	+	1.14885i
$934$	−24.9337	−	26.1497i	−0.815854	−	0.855643i
$935$	−2.28543	−	0.914947i	−0.0747414	−	0.0299220i
$936$	0.483689	+	0.466785i	0.0158099	+	0.0152573i
$937$	4.68394	−	2.13908i	0.153018	−	0.0698809i	−0.337434	−	0.941349i	$-0.609559\pi$
$937$	4.68394	−	2.13908i	0.153018	−	0.0698809i	0.490452	+	0.871468i	$0.336832\pi$
$938$	−16.3068	−	52.9320i	−0.532435	−	1.72829i
$939$	33.2308	+	25.0326i	1.08445	+	0.816909i
$940$	−4.99012	−	12.4647i	−0.162760	−	0.406555i
$941$	0.759713	+	15.9483i	0.0247659	+	0.519901i	0.976832	+	0.214008i	$0.0686519\pi$
$941$	0.759713	+	15.9483i	0.0247659	+	0.519901i	−0.952066	+	0.305893i	$0.901045\pi$
$942$	−7.90534	+	8.64378i	−0.257570	+	0.281630i
$943$	−0.335687	+	0.619440i	−0.0109315	+	0.0201717i
$944$			5.66329i			0.184324i
$945$	50.2324	−	24.6639i	1.63406	−	0.802318i
$946$	−0.576130	+	4.00707i	−0.0187316	+	0.130281i
$947$	−4.15792	−	43.5437i	−0.135114	−	1.41498i	−0.767858	−	0.640620i	$-0.778677\pi$
$947$	−4.15792	−	43.5437i	−0.135114	−	1.41498i	0.632744	−	0.774361i	$-0.281929\pi$
$948$	2.22846	+	1.09082i	0.0723770	+	0.0354281i
$949$	−50.5781	−	4.82962i	−1.64184	−	0.156776i
$950$	42.0417	−	121.471i	1.36401	−	3.94105i
$951$	29.1447	+	2.17262i	0.945083	+	0.0704519i
$952$	0.149948	−	0.146816i	0.00485986	−	0.00475833i
$953$	−16.2807	+	18.7890i	−0.527385	+	0.608634i	−0.955464	−	0.295107i	$-0.904645\pi$
$953$	−16.2807	+	18.7890i	−0.527385	+	0.608634i	0.428080	+	0.903741i	$0.359190\pi$
$954$	−39.4717	−	20.6506i	−1.27794	−	0.668588i
$955$	−31.2110	+	16.0904i	−1.00996	+	0.520673i
$956$	49.1291	−	17.0038i	1.58895	−	0.549941i
$957$	−0.343460	+	0.00714212i	−0.0111025	+	0.000230872i
$958$	25.4539	−	3.65972i	0.822379	−	0.118240i
$959$	−11.5833	−	56.0913i	−0.374043	−	1.81128i
$960$	−12.0463	−	56.1894i	−0.388794	−	1.81351i
$961$	14.7312	+	14.0462i	0.475201	+	0.453103i
$962$	−23.4047	−	32.8673i	−0.754598	−	1.05968i
$963$	21.9755	+	43.2636i	0.708149	+	1.39415i
$964$	8.96981	−	17.3990i	0.288898	−	0.560384i
$965$	−15.2494			−0.490895
$966$	−43.5220	+	6.85470i	−1.40030	+	0.220546i
$967$	−23.7280			−0.763040			−0.381520	−	0.924361i	$-0.624599\pi$
$967$	−23.7280			−0.763040			−0.381520	+	0.924361i	$0.624599\pi$
$968$	−0.189914	+	0.368382i	−0.00610408	+	0.0118403i
$969$	−15.5025	+	12.7217i	−0.498013	+	0.408681i
$970$	19.6758	+	27.6308i	0.631751	+	0.887170i
$971$	−22.7076	−	21.6516i	−0.728721	−	0.694834i	0.231887	−	0.972743i	$-0.425510\pi$
$971$	−22.7076	−	21.6516i	−0.728721	−	0.694834i	−0.960607	+	0.277909i	$0.910359\pi$
$972$	19.2374	−	24.9082i	0.617039	−	0.798931i
$973$	−15.2042	+	13.5312i	−0.487423	+	0.433790i
$974$	−86.5887	+	12.4496i	−2.77448	+	0.398910i
$975$	−2.45862	−	118.234i	−0.0787390	−	3.78651i
$976$	22.4397	−	7.76645i	0.718277	−	0.248598i
$977$	−41.9323	+	21.6176i	−1.34153	+	0.691608i	−0.971417	−	0.237378i	$-0.923712\pi$
$977$	−41.9323	+	21.6176i	−1.34153	+	0.691608i	−0.370115	+	0.928986i	$0.620682\pi$
$978$	−2.10171	−	0.569933i	−0.0672052	−	0.0182244i
$979$	−0.646052	+	0.745584i	−0.0206479	+	0.0238290i
$980$	55.6069	+	14.7396i	1.77630	+	0.470839i
$981$	−20.9255	−	6.28128i	−0.668100	−	0.200546i
$982$	15.4655	−	44.6847i	0.493524	−	1.42594i
$983$	15.0936	+	1.44127i	0.481412	+	0.0459692i	0.332941	−	0.942948i	$-0.391959\pi$
$983$	15.0936	+	1.44127i	0.481412	+	0.0459692i	0.148470	+	0.988917i	$0.452565\pi$
$984$	0.00424737	−	0.00867708i	0.000135401	−	0.000276615i
$985$	3.38696	+	35.4698i	0.107917	+	1.13016i
$986$	−0.408368	+	2.84026i	−0.0130051	+	0.0904524i
$987$	−6.98761	+	2.68804i	−0.222418	+	0.0855614i
$988$		−	66.0341i		−	2.10083i
$989$	−20.1334	−	26.7175i	−0.640204	−	0.849567i
$990$	−4.07602	−	5.79747i	−0.129544	−	0.184256i
$991$	−0.0851279	−	1.78705i	−0.00270418	−	0.0567676i	0.997112	−	0.0759465i	$-0.0241978\pi$
$991$	−0.0851279	−	1.78705i	−0.00270418	−	0.0567676i	−0.999816	+	0.0191789i	$0.993895\pi$
$992$	21.3557	+	53.3441i	0.678045	+	1.69368i
$993$	14.6396	−	19.4340i	0.464572	−	0.616720i
$994$	36.4701	−	39.2775i	1.15676	−	1.24581i
$995$	5.15748	−	2.35534i	0.163503	−	0.0746693i
$996$	7.28978	−	11.8791i	0.230986	−	0.376403i
$997$	−15.9352	−	6.37950i	−0.504674	−	0.202041i	0.105333	−	0.994437i	$-0.466409\pi$
$997$	−15.9352	−	6.37950i	−0.504674	−	0.202041i	−0.610007	+	0.792396i	$0.708833\pi$
$998$	11.0079	+	11.5448i	0.348449	+	0.365443i
$999$	−13.2198	+	11.8015i	−0.418257	+	0.373383i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bc.a.11.10	✓	1200
3.2	odd	2	inner	483.2.bc.a.11.51	yes	1200
7.2	even	3	inner	483.2.bc.a.149.51	yes	1200
21.2	odd	6	inner	483.2.bc.a.149.10	yes	1200
23.21	odd	22	inner	483.2.bc.a.389.10	yes	1200
69.44	even	22	inner	483.2.bc.a.389.51	yes	1200
161.44	odd	66	inner	483.2.bc.a.44.51	yes	1200
483.44	even	66	inner	483.2.bc.a.44.10	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bc.a.11.10	✓	1200	1.1	even	1	trivial
483.2.bc.a.11.51	yes	1200	3.2	odd	2	inner
483.2.bc.a.44.10	yes	1200	483.44	even	66	inner
483.2.bc.a.44.51	yes	1200	161.44	odd	66	inner
483.2.bc.a.149.10	yes	1200	21.2	odd	6	inner
483.2.bc.a.149.51	yes	1200	7.2	even	3	inner
483.2.bc.a.389.10	yes	1200	23.21	odd	22	inner
483.2.bc.a.389.51	yes	1200	69.44	even	22	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bc (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.918620 + 1.78187i) q^{2} +(-1.09876 - 1.33893i) q^{3} +(-1.17110 - 1.64458i) q^{4} +(-2.94599 - 2.80900i) q^{5} +(3.39514 - 0.727879i) q^{6} +(-1.97640 + 1.75893i) q^{7} +(0.0375805 - 0.00540327i) q^{8} +(-0.585467 + 2.94232i) q^{9} +(7.71152 - 2.66898i) q^{10} +(-0.257306 + 0.132651i) q^{11} +(-0.915223 + 3.37501i) q^{12} +(3.86470 - 4.46010i) q^{13} +(-1.31863 - 5.13749i) q^{14} +(-0.524122 + 7.03088i) q^{15} +(1.29577 - 3.74387i) q^{16} +(-2.07967 - 0.198585i) q^{17} +(-4.70502 - 3.74610i) q^{18} +(0.526815 + 5.51706i) q^{19} +(-1.16957 + 8.13453i) q^{20} +(4.52667 + 0.713628i) q^{21} -0.580343i q^{22} +(3.40193 + 3.38036i) q^{23} +(-0.0485265 - 0.0443808i) q^{24} +(0.550490 + 11.5562i) q^{25} +(4.39715 + 10.9835i) q^{26} +(4.58284 - 2.44899i) q^{27} +(5.20726 + 1.19047i) q^{28} +(-0.623226 + 0.284618i) q^{29} +(-12.0467 - 7.39263i) q^{30} +(6.65287 + 2.66341i) q^{31} +(5.53319 + 5.80304i) q^{32} +(0.460327 + 0.198764i) q^{33} +(2.26428 - 3.52329i) q^{34} +(10.7633 + 0.369915i) q^{35} +(5.52451 - 2.48290i) q^{36} +(-3.31430 + 0.804041i) q^{37} +(-10.3146 - 4.12936i) q^{38} +(-10.2181 - 0.273996i) q^{39} +(-0.125890 - 0.0896456i) q^{40} +(0.0413890 + 0.140958i) q^{41} +(-5.42988 + 7.41040i) q^{42} +(-6.90466 - 0.992741i) q^{43} +(0.519486 + 0.267813i) q^{44} +(9.98974 - 7.02346i) q^{45} +(-9.14847 + 2.95654i) q^{46} +(-1.41487 + 0.816878i) q^{47} +(-6.43651 + 2.37866i) q^{48} +(0.812330 - 6.95271i) q^{49} +(-21.0974 - 9.63487i) q^{50} +(2.01916 + 3.00273i) q^{51} +(-11.8609 - 1.13258i) q^{52} +(7.27318 - 1.40179i) q^{53} +(0.153904 + 10.4157i) q^{54} +(1.13064 + 0.331985i) q^{55} +(-0.0647703 + 0.0767806i) q^{56} +(6.80811 - 6.76727i) q^{57} +(0.0653548 - 1.37197i) q^{58} +(-1.35087 + 0.467539i) q^{59} +(12.1766 - 7.37190i) q^{60} +(3.70507 + 4.71138i) q^{61} +(-10.8573 + 9.40792i) q^{62} +(-4.01821 - 6.84500i) q^{63} +(-7.82062 + 2.29634i) q^{64} +(-23.9138 + 2.28349i) q^{65} +(-0.777038 + 0.637656i) q^{66} +(10.4306 - 0.496871i) q^{67} +(2.10891 + 3.65275i) q^{68} +(0.788176 - 8.26915i) q^{69} +(-10.5465 + 18.8390i) q^{70} +(5.46332 + 8.50109i) q^{71} +(-0.00610405 + 0.113737i) q^{72} +(-4.99387 - 7.01291i) q^{73} +(1.61188 - 6.64428i) q^{74} +(14.8681 - 13.4345i) q^{75} +(8.45629 - 7.32741i) q^{76} +(0.275217 - 0.714755i) q^{77} +(9.87480 - 17.9557i) q^{78} +(0.134277 - 0.696695i) q^{79} +(-14.3338 + 7.38960i) q^{80} +(-8.31446 - 3.44526i) q^{81} +(-0.289190 - 0.0557369i) q^{82} +(-3.82422 - 1.12289i) q^{83} +(-4.12756 - 8.28019i) q^{84} +(5.56887 + 6.42682i) q^{85} +(8.11170 - 11.3913i) q^{86} +(1.06586 + 0.521731i) q^{87} +(-0.00895296 + 0.00637537i) q^{88} +(3.16380 - 1.26660i) q^{89} +(3.33815 + 24.2523i) q^{90} +(0.206805 + 15.6127i) q^{91} +(1.57528 - 9.55349i) q^{92} +(-3.74377 - 11.8342i) q^{93} +(-0.155842 - 3.27153i) q^{94} +(13.9454 - 17.7330i) q^{95} +(1.69024 - 13.7847i) q^{96} +(1.17109 + 3.98837i) q^{97} +(11.6426 + 7.83437i) q^{98} +(-0.239656 - 0.834739i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28}+ \cdots - 308 q^{99}+O(q^{100}) \) 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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