LMFDB - Embedded newform 210.2.x.a.23.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,2,Mod(23,210)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(210, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 4]))

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

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

chi := DirichletCharacter("210.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	210.x (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$1.67685844245$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.9
Character	$\chi$	$=$	210.23
Dual form			210.2.x.a.137.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.965926 - 0.258819i) q^{2} +(-1.71308 + 0.255627i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.962923 - 2.01811i) q^{5} +(-1.58855 + 0.690295i) q^{6} +(1.50791 - 2.17399i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.86931 - 0.875819i) q^{9} +O(q^{10})$	\(q+(0.965926 - 0.258819i) q^{2} +(-1.71308 + 0.255627i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.962923 - 2.01811i) q^{5} +(-1.58855 + 0.690295i) q^{6} +(1.50791 - 2.17399i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.86931 - 0.875819i) q^{9} +(-1.45244 - 1.70012i) q^{10} +(0.149681 - 0.0864181i) q^{11} +(-1.35576 + 1.07792i) q^{12} +(-2.28029 - 2.28029i) q^{13} +(0.893856 - 2.49019i) q^{14} +(2.16545 + 3.21105i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.891651 - 3.32769i) q^{17} +(2.54486 - 1.58861i) q^{18} +(2.38005 + 1.37412i) q^{19} +(-1.84297 - 1.26628i) q^{20} +(-2.02744 + 4.10968i) q^{21} +(0.122214 - 0.122214i) q^{22} +(1.68559 + 6.29072i) q^{23} +(-1.03058 + 1.39209i) q^{24} +(-3.14556 + 3.88657i) q^{25} +(-2.79277 - 1.61241i) q^{26} +(-4.69148 + 2.23382i) q^{27} +(0.218891 - 2.63668i) q^{28} -0.840779 q^{29} +(2.92274 + 2.54117i) q^{30} +(4.06710 + 7.04442i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-0.234325 + 0.186304i) q^{33} -3.44508i q^{34} +(-5.83935 - 0.949743i) q^{35} +(2.04699 - 2.19314i) q^{36} +(-1.58924 - 5.93113i) q^{37} +(2.65460 + 0.711298i) q^{38} +(4.48922 + 3.32342i) q^{39} +(-2.10791 - 0.746132i) q^{40} +10.1114i q^{41} +(-0.894692 + 4.49439i) q^{42} +(-3.19626 - 3.19626i) q^{43} +(0.0864181 - 0.149681i) q^{44} +(-4.53043 - 4.94725i) q^{45} +(3.25632 + 5.64011i) q^{46} +(-1.52745 + 0.409280i) q^{47} +(-0.635163 + 1.61139i) q^{48} +(-2.45244 - 6.55634i) q^{49} +(-2.03246 + 4.56827i) q^{50} +(-0.676827 + 5.92854i) q^{51} +(-3.11493 - 0.834642i) q^{52} +(10.2236 + 2.73940i) q^{53} +(-3.95347 + 3.37195i) q^{54} +(-0.318532 - 0.218858i) q^{55} +(-0.470991 - 2.60349i) q^{56} +(-4.42849 - 1.74558i) q^{57} +(-0.812130 + 0.217610i) q^{58} +(4.86826 + 8.43207i) q^{59} +(3.48086 + 1.69812i) q^{60} +(6.03552 - 10.4538i) q^{61} +(5.75174 + 5.75174i) q^{62} +(2.42263 - 7.55850i) q^{63} -1.00000i q^{64} +(-2.40614 + 6.79761i) q^{65} +(-0.178121 + 0.240603i) q^{66} +(1.24153 + 0.332666i) q^{67} +(-0.891651 - 3.32769i) q^{68} +(-4.49564 - 10.3457i) q^{69} +(-5.88619 + 0.593954i) q^{70} -9.00908i q^{71} +(1.40961 - 2.64821i) q^{72} +(-0.0189461 + 0.0707076i) q^{73} +(-3.07018 - 5.31771i) q^{74} +(4.39510 - 7.46211i) q^{75} +2.74825 q^{76} +(0.0378323 - 0.455714i) q^{77} +(5.19642 + 2.04828i) q^{78} +(12.0207 + 6.94014i) q^{79} +(-2.22920 - 0.175141i) q^{80} +(7.46588 - 5.02600i) q^{81} +(2.61703 + 9.76690i) q^{82} +(-5.33300 + 5.33300i) q^{83} +(0.299027 + 4.57281i) q^{84} +(-7.57424 + 1.40485i) q^{85} +(-3.91461 - 2.26010i) q^{86} +(1.44032 - 0.214926i) q^{87} +(0.0447333 - 0.166947i) q^{88} +(7.02662 - 12.1705i) q^{89} +(-5.65650 - 3.60611i) q^{90} +(-8.39577 + 1.51886i) q^{91} +(4.60513 + 4.60513i) q^{92} +(-8.76802 - 11.0280i) q^{93} +(-1.36948 + 0.790668i) q^{94} +(0.481331 - 6.12638i) q^{95} +(-0.196462 + 1.72087i) q^{96} +(-6.33765 + 6.33765i) q^{97} +(-4.06578 - 5.69820i) q^{98} +(0.353793 - 0.379054i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q + 8 q^{6} + 4 q^{7}+O(q^{10}) $ 64 * q + 8 * q^6 + 4 * q^7	$ 64 q + 8 q^{6} + 4 q^{7} + 4 q^{10} - 24 q^{15} + 32 q^{16} - 8 q^{18} + 12 q^{21} - 24 q^{22} - 8 q^{25} - 72 q^{27} + 4 q^{28} - 12 q^{30} + 32 q^{31} - 20 q^{33} - 24 q^{36} - 8 q^{37} - 40 q^{42} - 64 q^{43} - 28 q^{45} + 24 q^{46} - 16 q^{55} + 24 q^{57} - 28 q^{58} + 8 q^{60} + 24 q^{61} - 88 q^{63} - 16 q^{67} - 12 q^{70} + 8 q^{72} - 56 q^{73} + 8 q^{75} - 32 q^{76} - 16 q^{78} + 4 q^{81} + 16 q^{82} + 32 q^{85} + 76 q^{87} + 12 q^{88} + 40 q^{90} - 48 q^{91} + 84 q^{93} + 4 q^{96} + 104 q^{97}+O(q^{100}) $ 64 * q + 8 * q^6 + 4 * q^7 + 4 * q^10 - 24 * q^15 + 32 * q^16 - 8 * q^18 + 12 * q^21 - 24 * q^22 - 8 * q^25 - 72 * q^27 + 4 * q^28 - 12 * q^30 + 32 * q^31 - 20 * q^33 - 24 * q^36 - 8 * q^37 - 40 * q^42 - 64 * q^43 - 28 * q^45 + 24 * q^46 - 16 * q^55 + 24 * q^57 - 28 * q^58 + 8 * q^60 + 24 * q^61 - 88 * q^63 - 16 * q^67 - 12 * q^70 + 8 * q^72 - 56 * q^73 + 8 * q^75 - 32 * q^76 - 16 * q^78 + 4 * q^81 + 16 * q^82 + 32 * q^85 + 76 * q^87 + 12 * q^88 + 40 * q^90 - 48 * q^91 + 84 * q^93 + 4 * q^96 + 104 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.965926	−	0.258819i	0.683013	−	0.183013i
$2$	0.965926	−	0.258819i	0.683013	−	0.183013i
$3$	−1.71308	+	0.255627i	−0.989049	+	0.147586i
$3$	−1.71308	+	0.255627i	−0.989049	+	0.147586i
$4$	0.866025	−	0.500000i	0.433013	−	0.250000i
$5$	−0.962923	−	2.01811i	−0.430632	−	0.902528i
$5$	−0.962923	−	2.01811i	−0.430632	−	0.902528i
$6$	−1.58855	+	0.690295i	−0.648523	+	0.281812i
$7$	1.50791	−	2.17399i	0.569935	−	0.821690i
$7$	1.50791	−	2.17399i	0.569935	−	0.821690i
$8$	0.707107	−	0.707107i	0.250000	−	0.250000i
$9$	2.86931	−	0.875819i	0.956437	−	0.291940i
$10$	−1.45244	−	1.70012i	−0.459301	−	0.537627i
$11$	0.149681	−	0.0864181i	0.0451304	−	0.0260560i	−0.477265	−	0.878759i	$-0.658372\pi$
$11$	0.149681	−	0.0864181i	0.0451304	−	0.0260560i	0.522395	+	0.852703i	$0.325038\pi$
$12$	−1.35576	+	1.07792i	−0.391374	+	0.311169i
$13$	−2.28029	−	2.28029i	−0.632437	−	0.632437i	0.316241	−	0.948679i	$-0.397579\pi$
$13$	−2.28029	−	2.28029i	−0.632437	−	0.632437i	−0.948679	+	0.316241i	$0.897579\pi$
$14$	0.893856	−	2.49019i	0.238893	−	0.665530i
$15$	2.16545	+	3.21105i	0.559117	+	0.829089i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	0.891651	−	3.32769i	0.216257	−	0.807083i	−0.769463	−	0.638691i	$-0.779476\pi$
$17$	0.891651	−	3.32769i	0.216257	−	0.807083i	0.985720	−	0.168391i	$-0.0538573\pi$
$18$	2.54486	−	1.58861i	0.599830	−	0.374439i
$19$	2.38005	+	1.37412i	0.546021	+	0.315245i	0.747516	−	0.664244i	$-0.231247\pi$
$19$	2.38005	+	1.37412i	0.546021	+	0.315245i	−0.201495	+	0.979490i	$0.564580\pi$
$20$	−1.84297	−	1.26628i	−0.412101	−	0.283148i
$21$	−2.02744	+	4.10968i	−0.442424	+	0.896806i
$22$	0.122214	−	0.122214i	0.0260560	−	0.0260560i
$23$	1.68559	+	6.29072i	0.351471	+	1.31171i	0.884868	+	0.465842i	$0.154248\pi$
$23$	1.68559	+	6.29072i	0.351471	+	1.31171i	−0.533397	+	0.845865i	$0.679085\pi$
$24$	−1.03058	+	1.39209i	−0.210366	+	0.284159i
$25$	−3.14556	+	3.88657i	−0.629112	+	0.777315i
$26$	−2.79277	−	1.61241i	−0.547707	−	0.316219i
$27$	−4.69148	+	2.23382i	−0.902877	+	0.429900i
$28$	0.218891	−	2.63668i	0.0413665	−	0.498286i
$29$	−0.840779			−0.156129			−0.0780644	−	0.996948i	$-0.524874\pi$
$29$	−0.840779			−0.156129			−0.0780644	+	0.996948i	$0.524874\pi$
$30$	2.92274	+	2.54117i	0.533618	+	0.463953i
$31$	4.06710	+	7.04442i	0.730472	+	1.26522i	0.956682	+	0.291136i	$0.0940333\pi$
$31$	4.06710	+	7.04442i	0.730472	+	1.26522i	−0.226209	+	0.974079i	$0.572633\pi$
$32$	0.258819	−	0.965926i	0.0457532	−	0.170753i
$33$	−0.234325	+	0.186304i	−0.0407907	+	0.0324313i
$34$		−	3.44508i		−	0.590826i
$35$	−5.83935	−	0.949743i	−0.987030	−	0.160536i
$36$	2.04699	−	2.19314i	0.341164	−	0.365523i
$37$	−1.58924	−	5.93113i	−0.261270	−	0.975072i	−0.964494	−	0.264104i	$-0.914924\pi$
$37$	−1.58924	−	5.93113i	−0.261270	−	0.975072i	0.703224	−	0.710968i	$-0.251743\pi$
$38$	2.65460	+	0.711298i	0.430633	+	0.115388i
$39$	4.48922	+	3.32342i	0.718851	+	0.532173i
$40$	−2.10791	−	0.746132i	−0.333290	−	0.117974i
$41$			10.1114i			1.57914i	0.613659	+	0.789571i	$0.289697\pi$
$41$			10.1114i			1.57914i	−0.613659	+	0.789571i	$0.710303\pi$
$42$	−0.894692	+	4.49439i	−0.138054	+	0.693499i
$43$	−3.19626	−	3.19626i	−0.487426	−	0.487426i	0.420067	−	0.907493i	$-0.362006\pi$
$43$	−3.19626	−	3.19626i	−0.487426	−	0.487426i	−0.907493	+	0.420067i	$0.862006\pi$
$44$	0.0864181	−	0.149681i	0.0130280	−	0.0225652i
$45$	−4.53043	−	4.94725i	−0.675356	−	0.737492i
$46$	3.25632	+	5.64011i	0.480118	+	0.831589i
$47$	−1.52745	+	0.409280i	−0.222802	+	0.0596996i	−0.368493	−	0.929631i	$-0.620126\pi$
$47$	−1.52745	+	0.409280i	−0.222802	+	0.0596996i	0.145691	+	0.989330i	$0.453459\pi$
$48$	−0.635163	+	1.61139i	−0.0916778	+	0.232584i
$49$	−2.45244	−	6.55634i	−0.350349	−	0.936619i
$50$	−2.03246	+	4.56827i	−0.287433	+	0.646051i
$51$	−0.676827	+	5.92854i	−0.0947748	+	0.830161i
$52$	−3.11493	−	0.834642i	−0.431963	−	0.115744i
$53$	10.2236	+	2.73940i	1.40431	+	0.376285i	0.879892	−	0.475174i	$-0.157615\pi$
$53$	10.2236	+	2.73940i	1.40431	+	0.376285i	0.524422	+	0.851458i	$0.324281\pi$
$54$	−3.95347	+	3.37195i	−0.537999	+	0.458865i
$55$	−0.318532	−	0.218858i	−0.0429509	−	0.0295109i
$56$	−0.470991	−	2.60349i	−0.0629388	−	0.347906i
$57$	−4.42849	−	1.74558i	−0.586567	−	0.231208i
$58$	−0.812130	+	0.217610i	−0.106638	+	0.0285736i
$59$	4.86826	+	8.43207i	0.633793	+	1.09776i	0.986769	+	0.162130i	$0.0518363\pi$
$59$	4.86826	+	8.43207i	0.633793	+	1.09776i	−0.352976	+	0.935632i	$0.614830\pi$
$60$	3.48086	+	1.69812i	0.449377	+	0.219227i
$61$	6.03552	−	10.4538i	0.772769	−	1.33848i	−0.163270	−	0.986581i	$-0.552204\pi$
$61$	6.03552	−	10.4538i	0.772769	−	1.33848i	0.936040	−	0.351894i	$-0.114462\pi$
$62$	5.75174	+	5.75174i	0.730472	+	0.730472i
$63$	2.42263	−	7.55850i	0.305223	−	0.952281i
$64$		−	1.00000i		−	0.125000i
$65$	−2.40614	+	6.79761i	−0.298444	+	0.843140i
$66$	−0.178121	+	0.240603i	−0.0219252	+	0.0296162i
$67$	1.24153	+	0.332666i	0.151677	+	0.0406416i	0.333858	−	0.942623i	$-0.391649\pi$
$67$	1.24153	+	0.332666i	0.151677	+	0.0406416i	−0.182182	+	0.983265i	$0.558316\pi$
$68$	−0.891651	−	3.32769i	−0.108129	−	0.403541i
$69$	−4.49564	−	10.3457i	−0.541211	−	1.24547i
$70$	−5.88619	+	0.593954i	−0.703534	+	0.0709910i
$71$		−	9.00908i		−	1.06918i	−0.845111	−	0.534591i	$-0.820466\pi$
$71$		−	9.00908i		−	1.06918i	0.845111	−	0.534591i	$-0.179534\pi$
$72$	1.40961	−	2.64821i	0.166124	−	0.312094i
$73$	−0.0189461	+	0.0707076i	−0.00221747	+	0.00827570i	−0.967026	−	0.254679i	$-0.918030\pi$
$73$	−0.0189461	+	0.0707076i	−0.00221747	+	0.00827570i	0.964808	+	0.262955i	$0.0846969\pi$
$74$	−3.07018	−	5.31771i	−0.356901	−	0.618171i
$75$	4.39510	−	7.46211i	0.507502	−	0.861651i
$76$	2.74825			0.315245
$77$	0.0378323	−	0.455714i	0.00431139	−	0.0519334i
$78$	5.19642	+	2.04828i	0.588379	+	0.231922i
$79$	12.0207	+	6.94014i	1.35243	+	0.780826i	0.988590	−	0.150634i	$-0.0481316\pi$
$79$	12.0207	+	6.94014i	1.35243	+	0.780826i	0.363842	+	0.931461i	$0.381465\pi$
$80$	−2.22920	−	0.175141i	−0.249232	−	0.0195814i
$81$	7.46588	−	5.02600i	0.829542	−	0.558444i
$82$	2.61703	+	9.76690i	0.289003	+	1.07857i
$83$	−5.33300	+	5.33300i	−0.585372	+	0.585372i	−0.936375	−	0.351002i	$-0.885841\pi$
$83$	−5.33300	+	5.33300i	−0.585372	+	0.585372i	0.351002	+	0.936375i	$0.385841\pi$
$84$	0.299027	+	4.57281i	0.0326266	+	0.498934i
$85$	−7.57424	+	1.40485i	−0.821542	+	0.152378i
$86$	−3.91461	−	2.26010i	−0.422123	−	0.243713i
$87$	1.44032	−	0.214926i	0.154419	−	0.0230424i
$88$	0.0447333	−	0.166947i	0.00476859	−	0.0177966i
$89$	7.02662	−	12.1705i	0.744820	−	1.29007i	−0.205458	−	0.978666i	$-0.565868\pi$
$89$	7.02662	−	12.1705i	0.744820	−	1.29007i	0.950279	−	0.311401i	$-0.100798\pi$
$90$	−5.65650	−	3.60611i	−0.596247	−	0.380118i
$91$	−8.39577	+	1.51886i	−0.880116	+	0.159219i
$92$	4.60513	+	4.60513i	0.480118	+	0.480118i
$93$	−8.76802	−	11.0280i	−0.909201	−	1.14355i
$94$	−1.36948	+	0.790668i	−0.141251	+	0.0815512i
$95$	0.481331	−	6.12638i	0.0493835	−	0.628554i
$96$	−0.196462	+	1.72087i	−0.0200513	+	0.175636i
$97$	−6.33765	+	6.33765i	−0.643491	+	0.643491i	−0.951412	−	0.307921i	$-0.900367\pi$
$97$	−6.33765	+	6.33765i	−0.643491	+	0.643491i	0.307921	+	0.951412i	$0.400367\pi$
$98$	−4.06578	−	5.69820i	−0.410706	−	0.575605i
$99$	0.353793	−	0.379054i	0.0355576	−	0.0380963i
$100$	−0.780849	+	4.93865i	−0.0780849	+	0.493865i
$101$	−8.57430	+	4.95037i	−0.853174	+	0.492580i	−0.861721	−	0.507383i	$-0.830613\pi$
$101$	−8.57430	+	4.95037i	−0.853174	+	0.492580i	0.00854630	+	0.999963i	$0.497280\pi$
$102$	0.880653	+	5.90170i	0.0871977	+	0.584356i
$103$	8.70127	−	2.33150i	0.857362	−	0.229729i	0.196747	−	0.980454i	$-0.436962\pi$
$103$	8.70127	−	2.33150i	0.857362	−	0.229729i	0.660615	+	0.750725i	$0.270296\pi$
$104$	−3.22481			−0.316219
$105$	10.2461	+	0.134296i	0.999914	+	0.0131059i
$106$	10.5842			1.02803
$107$	−5.87171	+	1.57332i	−0.567640	+	0.152099i	−0.531214	−	0.847238i	$-0.678264\pi$
$107$	−5.87171	+	1.57332i	−0.567640	+	0.152099i	−0.0364257	+	0.999336i	$0.511597\pi$
$108$	−2.94603	+	4.28029i	−0.283482	+	0.411871i
$109$	−13.6018	+	7.85302i	−1.30282	+	0.752183i	−0.980887	−	0.194579i	$-0.937666\pi$
$109$	−13.6018	+	7.85302i	−1.30282	+	0.752183i	−0.321933	+	0.946763i	$0.604333\pi$
$110$	−0.364323	−	0.128959i	−0.0347369	−	0.0122957i
$111$	4.23866	+	9.75428i	0.402316	+	0.925835i
$112$	−1.12878	−	2.39288i	−0.106659	−	0.226106i
$113$	−1.64994	+	1.64994i	−0.155213	+	0.155213i	−0.780442	−	0.625228i	$-0.785006\pi$
$113$	−1.64994	+	1.64994i	−0.155213	+	0.155213i	0.625228	+	0.780442i	$0.285006\pi$
$114$	−4.72938	−	0.539926i	−0.442947	−	0.0505687i
$115$	11.0723	−	9.45920i	1.03250	−	0.882075i
$116$	−0.728136	+	0.420390i	−0.0676057	+	0.0390322i
$117$	−8.53997	−	4.54573i	−0.789520	−	0.420253i
$118$	6.88476	+	6.88476i	0.633793	+	0.633793i
$119$	−5.88982	−	6.95628i	−0.539919	−	0.637681i
$120$	3.80176	+	0.739349i	0.347051	+	0.0674930i
$121$	−5.48506	+	9.50041i	−0.498642	+	0.863674i
$122$	3.12422	−	11.6597i	0.282853	−	1.05562i
$123$	−2.58475	−	17.3217i	−0.233059	−	1.56185i
$124$	7.04442	+	4.06710i	0.632608	+	0.365236i
$125$	10.8725	+	2.60563i	0.972464	+	0.233054i
$126$	0.383797	−	7.92797i	0.0341913	−	0.706280i
$127$	2.13805	−	2.13805i	0.189721	−	0.189721i	−0.605854	−	0.795576i	$-0.707169\pi$
$127$	2.13805	−	2.13805i	0.189721	−	0.189721i	0.795576	+	0.605854i	$0.207169\pi$
$128$	−0.258819	−	0.965926i	−0.0228766	−	0.0853766i
$129$	6.29252	+	4.65842i	0.554025	+	0.410151i
$130$	−0.564797	+	7.18874i	−0.0495360	+	0.630494i
$131$	−5.20685	−	3.00618i	−0.454925	−	0.262651i	0.254983	−	0.966946i	$-0.417930\pi$
$131$	−5.20685	−	3.00618i	−0.454925	−	0.262651i	−0.709908	+	0.704294i	$0.751263\pi$
$132$	−0.109779	+	0.278506i	−0.00955505	+	0.0242408i
$133$	6.57622	−	3.10215i	0.570230	−	0.268991i
$134$	1.28532			0.111035
$135$	9.02565	+	7.31695i	0.776804	+	0.629743i
$136$	−1.72254	−	2.98352i	−0.147706	−	0.255835i
$137$	2.50449	−	9.34687i	0.213973	−	0.798557i	−0.772553	−	0.634951i	$-0.781020\pi$
$137$	2.50449	−	9.34687i	0.213973	−	0.798557i	0.986526	−	0.163607i	$-0.0523129\pi$
$138$	−7.02011	−	8.82957i	−0.597591	−	0.751623i
$139$			10.1596i			0.861723i	0.902418	+	0.430861i	$0.141790\pi$
$139$			10.1596i			0.861723i	−0.902418	+	0.430861i	$0.858210\pi$
$140$	−5.53190	+	2.09717i	−0.467530	+	0.177243i
$141$	2.51203	−	1.09159i	0.211551	−	0.0919283i
$142$	−2.33172	−	8.70211i	−0.195674	−	0.730265i
$143$	−0.538372	−	0.144256i	−0.0450210	−	0.0120633i
$144$	0.676173	−	2.92281i	0.0563478	−	0.243567i
$145$	0.809605	+	1.69679i	0.0672341	+	0.140911i
$146$			0.0732019i			0.00605824i
$147$	5.87721	+	10.6046i	0.484744	+	0.874656i
$148$	−4.34189	−	4.34189i	−0.356901	−	0.356901i
$149$	2.65975	−	4.60681i	0.217895	−	0.377405i	−0.736269	−	0.676689i	$-0.763414\pi$
$149$	2.65975	−	4.60681i	0.217895	−	0.377405i	0.954164	+	0.299284i	$0.0967477\pi$
$150$	2.31400	−	8.34538i	0.188937	−	0.681398i
$151$	−7.80296	−	13.5151i	−0.634996	−	1.09984i	−0.986516	−	0.163665i	$-0.947669\pi$
$151$	−7.80296	−	13.5151i	−0.634996	−	1.09984i	0.351520	−	0.936180i	$-0.385665\pi$
$152$	2.65460	−	0.711298i	0.215317	−	0.0576939i
$153$	−0.356030	−	10.3291i	−0.0287833	−	0.835058i
$154$	−0.0814043	−	0.449978i	−0.00655974	−	0.0362602i
$155$	10.3001	−	14.9911i	0.827327	−	1.20411i
$156$	5.54949	+	0.633554i	0.444315	+	0.0507249i
$157$	8.75604	+	2.34617i	0.698808	+	0.187245i	0.590697	−	0.806894i	$-0.298853\pi$
$157$	8.75604	+	2.34617i	0.698808	+	0.187245i	0.108112	+	0.994139i	$0.465520\pi$
$158$	13.4073	+	3.59248i	1.06663	+	0.285802i
$159$	−18.2141	−	2.07940i	−1.44447	−	0.164907i
$160$	−2.19857	+	0.407786i	−0.173812	+	0.0322383i
$161$	16.2177	+	5.82136i	1.27813	+	0.458787i
$162$	5.91066	−	6.78705i	0.464386	−	0.533241i
$163$	−21.2648	+	5.69789i	−1.66559	+	0.446293i	−0.963916	−	0.266207i	$-0.914229\pi$
$163$	−21.2648	+	5.69789i	−1.66559	+	0.446293i	−0.701672	+	0.712500i	$0.747563\pi$
$164$	5.05572	+	8.75677i	0.394786	+	0.683789i
$165$	0.601618	+	0.293497i	0.0468359	+	0.0228487i
$166$	−3.77100	+	6.53156i	−0.292686	+	0.506947i
$167$	−6.24746	−	6.24746i	−0.483443	−	0.483443i	0.422786	−	0.906229i	$-0.361052\pi$
$167$	−6.24746	−	6.24746i	−0.483443	−	0.483443i	−0.906229	+	0.422786i	$0.861052\pi$
$168$	1.47237	+	4.33960i	0.113596	+	0.334807i
$169$		−	2.60059i		−	0.200046i
$170$	−6.95255	+	3.31734i	−0.533236	+	0.254428i
$171$	8.03258	+	1.85829i	0.614267	+	0.142107i
$172$	−4.36618	−	1.16991i	−0.332918	−	0.0892051i
$173$	5.21669	+	19.4689i	0.396617	+	1.48020i	0.819008	+	0.573783i	$0.194525\pi$
$173$	5.21669	+	19.4689i	0.396617	+	1.48020i	−0.422390	+	0.906414i	$0.638809\pi$
$174$	1.33562	−	0.580386i	0.101253	−	0.0439989i
$175$	3.70615	+	12.6990i	0.280159	+	0.959954i
$176$		−	0.172836i		−	0.0130280i
$177$	−10.4952	−	13.2004i	−0.788867	−	0.992202i
$178$	3.63725	−	13.5744i	0.272623	−	1.01744i
$179$	0.0831851	+	0.144081i	0.00621755	+	0.0107691i	0.869117	−	0.494606i	$-0.164688\pi$
$179$	0.0831851	+	0.144081i	0.00621755	+	0.0107691i	−0.862900	+	0.505375i	$0.831354\pi$
$180$	−6.39709	−	2.01923i	−0.476811	−	0.150504i
$181$	−0.628045			−0.0466822			−0.0233411	−	0.999728i	$-0.507430\pi$
$181$	−0.628045			−0.0466822			−0.0233411	+	0.999728i	$0.507430\pi$
$182$	−7.71658	+	3.64009i	−0.571991	+	0.269821i
$183$	−7.66707	+	19.4511i	−0.566766	+	1.43787i
$184$	5.64011	+	3.25632i	0.415794	+	0.240059i
$185$	−10.4394	+	8.91849i	−0.767519	+	0.655701i
$186$	−11.3235	−	8.38292i	−0.830281	−	0.614665i
$187$	−0.154110	−	0.575145i	−0.0112696	−	0.0420588i
$188$	−1.11817	+	1.11817i	−0.0815512	+	0.0815512i
$189$	−2.21801	+	13.5676i	−0.161337	+	0.986899i
$190$	−1.12069	−	6.04221i	−0.0813038	−	0.438348i
$191$	−0.811340	−	0.468427i	−0.0587065	−	0.0338942i	0.470359	−	0.882475i	$-0.344124\pi$
$191$	−0.811340	−	0.468427i	−0.0587065	−	0.0338942i	−0.529066	+	0.848581i	$0.677458\pi$
$192$	0.255627	+	1.71308i	0.0184483	+	0.123631i
$193$	−6.34457	+	23.6783i	−0.456692	+	1.70440i	0.226373	+	0.974041i	$0.427313\pi$
$193$	−6.34457	+	23.6783i	−0.456692	+	1.70440i	−0.683065	+	0.730358i	$0.739353\pi$
$194$	−4.48140	+	7.76201i	−0.321746	+	0.557280i
$195$	2.38426	−	12.2600i	0.170740	−	0.877953i
$196$	−5.40204	−	4.45173i	−0.385860	−	0.317981i
$197$	3.05486	+	3.05486i	0.217650	+	0.217650i	0.807507	−	0.589857i	$-0.200816\pi$
$197$	3.05486	+	3.05486i	0.217650	+	0.217650i	−0.589857	+	0.807507i	$0.700816\pi$
$198$	0.243632	−	0.457706i	0.0173142	−	0.0325278i
$199$	−8.08620	+	4.66857i	−0.573216	+	0.330946i	−0.758433	−	0.651751i	$-0.774035\pi$
$199$	−8.08620	+	4.66857i	−0.573216	+	0.330946i	0.185217	+	0.982698i	$0.440701\pi$
$200$	0.523975	+	4.97247i	0.0370506	+	0.351607i
$201$	−2.21188	−	0.252518i	−0.156014	−	0.0178112i
$202$	−7.00088	+	7.00088i	−0.492580	+	0.492580i
$203$	−1.26782	+	1.82784i	−0.0889832	+	0.128289i
$204$	2.37812	+	5.47268i	0.166502	+	0.383164i
$205$	20.4060	−	9.73654i	1.42522	−	0.680029i
$206$	7.80135	−	4.50411i	0.543546	−	0.313816i
$207$	10.3460	+	16.5738i	0.719099	+	1.15196i
$208$	−3.11493	+	0.834642i	−0.215981	+	0.0578720i
$209$	0.474996			0.0328562
$210$	9.93170	−	2.52216i	0.685353	−	0.174045i
$211$	−17.7735			−1.22358			−0.611790	−	0.791020i	$-0.709550\pi$
$211$	−17.7735			−1.22358			−0.611790	+	0.791020i	$0.709550\pi$
$212$	10.2236	−	2.73940i	0.702157	−	0.188142i
$213$	2.30296	+	15.4333i	0.157796	+	1.05747i
$214$	−5.26443	+	3.03942i	−0.359869	+	0.207770i
$215$	−3.37267	+	9.52818i	−0.230014	+	0.649816i
$216$	−1.73783	+	4.89693i	−0.118244	+	0.333194i
$217$	21.4473	+	1.78050i	1.45594	+	0.120868i
$218$	−11.1059	+	11.1059i	−0.752183	+	0.752183i
$219$	0.0143814	−	0.125971i	0.000971806	−	0.00851235i
$220$	−0.385286	−	0.0302707i	−0.0259760	−	0.00204085i
$221$	−9.62130	+	5.55486i	−0.647199	+	0.373660i
$222$	6.61882	+	8.32486i	0.444226	+	0.558728i
$223$	20.7814	+	20.7814i	1.39162	+	1.39162i	0.821694	+	0.569929i	$0.193029\pi$
$223$	20.7814	+	20.7814i	1.39162	+	1.39162i	0.569929	+	0.821694i	$0.306971\pi$
$224$	−1.70964	−	2.01919i	−0.114230	−	0.134913i
$225$	−5.62165	+	13.9067i	−0.374777	+	0.927115i
$226$	−1.16668	+	2.02076i	−0.0776067	+	0.134419i
$227$	1.63340	−	6.09593i	0.108413	−	0.404601i	−0.890297	−	0.455380i	$-0.849504\pi$
$227$	1.63340	−	6.09593i	0.108413	−	0.404601i	0.998710	+	0.0507784i	$0.0161702\pi$
$228$	−4.70797	+	0.702525i	−0.311793	+	0.0465258i
$229$	0.820517	+	0.473726i	0.0542213	+	0.0313047i	0.526866	−	0.849949i	$-0.323367\pi$
$229$	0.820517	+	0.473726i	0.0542213	+	0.0313047i	−0.472644	+	0.881253i	$0.656700\pi$
$230$	8.24679	−	12.0026i	0.543777	−	0.791428i
$231$	0.0516828	+	0.790347i	0.00340048	+	0.0520010i
$232$	−0.594521	+	0.594521i	−0.0390322	+	0.0390322i
$233$	−2.22516	−	8.30443i	−0.145775	−	0.544041i	−0.999720	−	0.0236767i	$-0.992463\pi$
$233$	−2.22516	−	8.30443i	−0.145775	−	0.544041i	0.853944	−	0.520364i	$-0.174204\pi$
$234$	−9.42549	−	2.18053i	−0.616164	−	0.142546i
$235$	2.29679	+	2.68847i	0.149826	+	0.175376i
$236$	8.43207	+	4.86826i	0.548881	+	0.316897i
$237$	−22.3665	−	8.81623i	−1.45286	−	0.572676i
$238$	−7.48955	−	5.19485i	−0.485476	−	0.336732i
$239$	1.10308			0.0713521			0.0356760	−	0.999363i	$-0.488642\pi$
$239$	1.10308			0.0713521			0.0356760	+	0.999363i	$0.488642\pi$
$240$	3.86357	−	0.269811i	0.249393	−	0.0174162i
$241$	−7.44133	−	12.8888i	−0.479338	−	0.830238i	0.520381	−	0.853934i	$-0.325790\pi$
$241$	−7.44133	−	12.8888i	−0.479338	−	0.830238i	−0.999719	+	0.0236964i	$0.992456\pi$
$242$	−2.83928	+	10.5963i	−0.182516	+	0.681158i
$243$	−11.5049	+	10.5184i	−0.738040	+	0.674757i
$244$		−	12.0710i		−	0.772769i
$245$	−10.8699	+	11.2625i	−0.694453	+	0.719538i
$246$	−6.97988	−	16.0625i	−0.445021	−	1.02411i
$247$	−2.29380	−	8.56059i	−0.145951	−	0.544697i
$248$	7.85703	+	2.10528i	0.498922	+	0.133686i
$249$	7.77261	−	10.4991i	0.492569	−	0.665355i
$250$	11.1764	−	0.297161i	0.706857	−	0.0187941i
$251$		−	21.0507i		−	1.32871i	−0.747419	−	0.664353i	$-0.768707\pi$
$251$		−	21.0507i		−	1.32871i	0.747419	−	0.664353i	$-0.231293\pi$
$252$	−1.68119	−	7.75716i	−0.105905	−	0.488655i
$253$	0.795933	+	0.795933i	0.0500399	+	0.0500399i
$254$	1.51183	−	2.61856i	0.0948606	−	0.164303i
$255$	12.6162	−	4.34281i	0.790056	−	0.271957i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	1.77969	−	0.476866i	0.111014	−	0.0297461i	−0.202884	−	0.979203i	$-0.565032\pi$
$257$	1.77969	−	0.476866i	0.111014	−	0.0297461i	0.313898	+	0.949457i	$0.398365\pi$
$258$	7.28379	+	2.87106i	0.453469	+	0.178744i
$259$	−15.2906	−	5.48860i	−0.950114	−	0.341045i
$260$	1.31503	+	7.08997i	0.0815548	+	0.439701i
$261$	−2.41246	+	0.736371i	−0.149327	+	0.0455802i
$262$	−5.80749	−	1.55611i	−0.358788	−	0.0961370i
$263$	−18.6556	−	4.99875i	−1.15035	−	0.308236i	−0.367246	−	0.930124i	$-0.619699\pi$
$263$	−18.6556	−	4.99875i	−1.15035	−	0.308236i	−0.783106	+	0.621888i	$0.786366\pi$
$264$	−0.0339558	+	0.297429i	−0.00208983	+	0.0183055i
$265$	−4.31609	−	23.2701i	−0.265135	−	1.42947i
$266$	5.54924	−	4.69850i	0.340246	−	0.288083i
$267$	−8.92609	+	22.6452i	−0.546268	+	1.38586i
$268$	1.24153	−	0.332666i	0.0758383	−	0.0203208i
$269$	−10.7688	−	18.6522i	−0.656588	−	1.13724i	−0.981493	−	0.191497i	$-0.938666\pi$
$269$	−10.7688	−	18.6522i	−0.656588	−	1.13724i	0.324905	−	0.945747i	$-0.394668\pi$
$270$	10.6119	+	4.73162i	0.645818	+	0.287957i
$271$	7.65045	−	13.2510i	0.464732	−	0.804939i	−0.534458	−	0.845195i	$-0.679484\pi$
$271$	7.65045	−	13.2510i	0.464732	−	0.804939i	0.999189	+	0.0402561i	$0.0128174\pi$
$272$	−2.43604	−	2.43604i	−0.147706	−	0.147706i
$273$	13.9944	−	4.74811i	0.846979	−	0.287369i
$274$		−	9.67660i		−	0.584585i
$275$	−0.134959	+	0.853578i	−0.00813833	+	0.0514727i
$276$	−9.06616	−	6.71178i	−0.545719	−	0.404001i
$277$	17.6004	+	4.71602i	1.05751	+	0.283358i	0.745351	−	0.666673i	$-0.232282\pi$
$277$	17.6004	+	4.71602i	1.05751	+	0.283358i	0.312156	+	0.950031i	$0.398949\pi$
$278$	2.62949	+	9.81338i	0.157706	+	0.588567i
$279$	17.8394	+	16.6506i	1.06802	+	0.996844i
$280$	−4.80061	+	3.45747i	−0.286891	+	0.206624i
$281$		−	0.120405i		−	0.00718275i	−0.999994	−	0.00359138i	$-0.998857\pi$
$281$		−	0.120405i		−	0.00718275i	0.999994	−	0.00359138i	$-0.00114317\pi$
$282$	2.14391	−	1.70455i	0.127668	−	0.101505i
$283$	−1.24800	+	4.65758i	−0.0741857	+	0.276865i	−0.993047	−	0.117715i	$-0.962443\pi$
$283$	−1.24800	+	4.65758i	−0.0741857	+	0.276865i	0.918862	+	0.394580i	$0.129110\pi$
$284$	−4.50454	−	7.80210i	−0.267295	−	0.462969i
$285$	0.741507	+	10.6180i	0.0439231	+	0.628959i
$286$	−0.557364			−0.0329576
$287$	21.9821	+	15.2471i	1.29757	+	0.900008i
$288$	−0.103345	−	2.99822i	−0.00608964	−	0.176672i
$289$	4.44397	+	2.56573i	0.261410	+	0.150925i
$290$	1.22118	+	1.42943i	0.0717101	+	0.0839390i
$291$	9.23686	−	12.4770i	0.541474	−	0.731415i
$292$	0.0189461	+	0.0707076i	0.00110873	+	0.00413785i
$293$	6.50068	−	6.50068i	0.379774	−	0.379774i	−0.491247	−	0.871020i	$-0.663459\pi$
$293$	6.50068	−	6.50068i	0.379774	−	0.379774i	0.871020	+	0.491247i	$0.163459\pi$
$294$	8.42163	+	8.72216i	0.491160	+	0.508687i
$295$	12.3291	−	17.9441i	0.717829	−	1.04475i
$296$	−5.31771	−	3.07018i	−0.309086	−	0.178451i
$297$	−0.509181	+	0.739789i	−0.0295457	+	0.0429269i
$298$	1.37679	−	5.13823i	0.0797550	−	0.297650i
$299$	10.5010	−	18.1883i	0.607289	−	1.05186i
$300$	0.0752081	−	8.65993i	0.00434214	−	0.499981i
$301$	−11.7683	+	2.12897i	−0.678314	+	0.122712i
$302$	−11.0350	−	11.0350i	−0.634996	−	0.634996i
$303$	13.4230	−	10.6722i	0.771133	−	0.613103i
$304$	2.38005	−	1.37412i	0.136505	−	0.0788113i
$305$	−26.9087	−	2.11414i	−1.54079	−	0.121055i
$306$	−3.01726	−	9.88499i	−0.172486	−	0.565087i
$307$	−3.46539	+	3.46539i	−0.197780	+	0.197780i	−0.799048	−	0.601268i	$-0.794663\pi$
$307$	−3.46539	+	3.46539i	−0.197780	+	0.197780i	0.601268	+	0.799048i	$0.294663\pi$
$308$	−0.195093	−	0.413576i	−0.0111165	−	0.0235657i
$309$	−14.3100	+	6.21833i	−0.814068	+	0.353748i
$310$	6.06919	−	17.1462i	0.344707	−	0.973836i
$311$	−17.5784	+	10.1489i	−0.996778	+	0.575490i	−0.907294	−	0.420498i	$-0.861855\pi$
$311$	−17.5784	+	10.1489i	−0.996778	+	0.575490i	−0.0894849	+	0.995988i	$0.528522\pi$
$312$	5.52437	−	0.824348i	0.312756	−	0.0466695i
$313$	11.8085	−	3.16408i	0.667455	−	0.178844i	0.0908470	−	0.995865i	$-0.471043\pi$
$313$	11.8085	−	3.16408i	0.667455	−	0.178844i	0.576608	+	0.817021i	$0.304376\pi$
$314$	9.06492			0.511563
$315$	−17.5867	+	2.38911i	−0.990899	+	0.134611i
$316$	13.8803			0.780826
$317$	26.1124	−	6.99681i	1.46662	−	0.392980i	0.564850	−	0.825194i	$-0.308934\pi$
$317$	26.1124	−	6.99681i	1.46662	−	0.392980i	0.901771	+	0.432214i	$0.142268\pi$
$318$	−18.1316	+	2.70561i	−1.01677	+	0.151723i
$319$	−0.125848	+	0.0726586i	−0.00704615	+	0.00406810i
$320$	−2.01811	+	0.962923i	−0.112816	+	0.0538290i
$321$	9.65655	−	4.19619i	0.538976	−	0.234209i
$322$	17.1717	+	1.42556i	0.956944	+	0.0794432i
$323$	6.69483	−	6.69483i	0.372510	−	0.372510i
$324$	3.95264	−	8.08558i	0.219591	−	0.449199i
$325$	16.0353	−	1.68972i	0.889477	−	0.0937288i
$326$	−19.0655	+	11.0075i	−1.05594	+	0.609647i
$327$	21.2936	−	16.9299i	1.17754	−	0.936224i
$328$	7.14987	+	7.14987i	0.394786	+	0.394786i
$329$	−1.41349	+	3.93782i	−0.0779280	+	0.217099i
$330$	0.657082	+	0.127786i	0.0361711	+	0.00703440i
$331$	2.95741	−	5.12239i	0.162554	−	0.281552i	−0.773230	−	0.634126i	$-0.781360\pi$
$331$	2.95741	−	5.12239i	0.162554	−	0.281552i	0.935784	+	0.352574i	$0.114693\pi$
$332$	−1.95201	+	7.28501i	−0.107131	+	0.399817i
$333$	−9.75463	−	15.6264i	−0.534551	−	0.856320i
$334$	−7.65154	−	4.41762i	−0.418674	−	0.241721i
$335$	−0.524137	−	2.82587i	−0.0286366	−	0.154394i
$336$	2.54537	+	3.81066i	0.138861	+	0.207888i
$337$	−8.82126	+	8.82126i	−0.480524	+	0.480524i	−0.905299	−	0.424775i	$-0.860353\pi$
$337$	−8.82126	+	8.82126i	−0.480524	+	0.480524i	0.424775	+	0.905299i	$0.360353\pi$
$338$	−0.673083	−	2.51198i	−0.0366109	−	0.136634i
$339$	2.40472	−	3.24826i	0.130606	−	0.176421i
$340$	−5.85706	+	5.00376i	−0.317644	+	0.271367i
$341$	1.21753	+	0.702942i	0.0659330	+	0.0380664i
$342$	8.23984	−	0.284016i	0.445560	−	0.0153578i
$343$	−17.9514	−	4.55476i	−0.969287	−	0.245934i
$344$	−4.52020			−0.243713
$345$	−16.5497	+	19.0348i	−0.891008	+	1.02480i
$346$	10.0779	+	17.4554i	0.541790	+	0.938407i
$347$	−2.37362	+	8.85847i	−0.127423	+	0.475547i	−0.999914	−	0.0130812i	$-0.995836\pi$
$347$	−2.37362	+	8.85847i	−0.127423	+	0.475547i	0.872492	+	0.488629i	$0.162503\pi$
$348$	1.13990	−	0.906293i	0.0611048	−	0.0485824i
$349$		−	17.5265i		−	0.938173i	−0.883152	−	0.469086i	$-0.844583\pi$
$349$		−	17.5265i		−	0.938173i	0.883152	−	0.469086i	$-0.155417\pi$
$350$	6.86661	+	11.3071i	0.367036	+	0.604388i
$351$	15.7917	+	5.60417i	0.842898	+	0.299128i
$352$	−0.0447333	−	0.166947i	−0.00238429	−	0.00889830i
$353$	1.24625	+	0.333932i	0.0663312	+	0.0177734i	0.291832	−	0.956470i	$-0.405735\pi$
$353$	1.24625	+	0.333932i	0.0663312	+	0.0177734i	−0.225501	+	0.974243i	$0.572402\pi$
$354$	−13.5541	−	10.0342i	−0.720392	−	0.533314i
$355$	−18.1814	+	8.67505i	−0.964966	+	0.460424i
$356$		−	14.0532i		−	0.744820i
$357$	11.8680	+	10.4111i	0.628120	+	0.551013i
$358$	0.117642	+	0.117642i	0.00621755	+	0.00621755i
$359$	−8.44776	+	14.6320i	−0.445856	+	0.772245i	−0.998111	−	0.0614298i	$-0.980434\pi$
$359$	−8.44776	+	14.6320i	−0.445856	+	0.772245i	0.552255	+	0.833675i	$0.313767\pi$
$360$	−6.70173	−	0.294736i	−0.353212	−	0.0155339i
$361$	−5.72357	−	9.91352i	−0.301241	−	0.521764i
$362$	−0.606645	+	0.162550i	−0.0318846	+	0.00854344i
$363$	6.96781	−	17.6771i	0.365715	−	0.927808i
$364$	−6.51152	+	5.51325i	−0.341296	+	0.288973i
$365$	0.160940	−	0.0298507i	0.00842396	−	0.00156246i
$366$	−2.37150	+	20.7727i	−0.123961	+	1.08581i
$367$	−31.9548	−	8.56227i	−1.66803	−	0.446947i	−0.703451	−	0.710744i	$-0.748358\pi$
$367$	−31.9548	−	8.56227i	−1.66803	−	0.446947i	−0.964578	+	0.263797i	$0.915025\pi$
$368$	6.29072	+	1.68559i	0.327927	+	0.0878677i
$369$	8.85580	+	29.0129i	0.461014	+	1.51035i
$370$	−7.77539	+	11.3165i	−0.404223	+	0.588318i
$371$	21.3716	−	18.0951i	1.10956	−	0.939453i
$372$	−13.1073	−	5.16654i	−0.679584	−	0.267872i
$373$	−6.44654	+	1.72735i	−0.333789	+	0.0894386i	−0.421821	−	0.906679i	$-0.638609\pi$
$373$	−6.44654	+	1.72735i	−0.333789	+	0.0894386i	0.0880318	+	0.996118i	$0.471942\pi$
$374$	−0.297717	−	0.515661i	−0.0153946	−	0.0266642i
$375$	−19.2915	−	1.68436i	−0.996210	−	0.0869801i
$376$	−0.790668	+	1.36948i	−0.0407756	+	0.0706254i
$377$	1.91722	+	1.91722i	0.0987417	+	0.0987417i
$378$	1.36912	+	13.6794i	0.0704202	+	0.703592i
$379$		−	16.1481i		−	0.829472i	−0.909942	−	0.414736i	$-0.863874\pi$
$379$		−	16.1481i		−	0.829472i	0.909942	−	0.414736i	$-0.136126\pi$
$380$	−2.64635	−	5.54627i	−0.135755	−	0.284518i
$381$	−3.11611	+	4.20920i	−0.159643	+	0.215644i
$382$	−0.904932	−	0.242476i	−0.0463004	−	0.0124061i
$383$	−4.19914	−	15.6714i	−0.214566	−	0.800771i	−0.986319	−	0.164849i	$-0.947286\pi$
$383$	−4.19914	−	15.6714i	−0.214566	−	0.800771i	0.771753	−	0.635922i	$-0.219380\pi$
$384$	0.690295	+	1.58855i	0.0352265	+	0.0810654i
$385$	−0.956112	+	0.362467i	−0.0487280	+	0.0184731i
$386$			24.5135i			1.24771i
$387$	−11.9704	−	6.37172i	−0.608491	−	0.323893i
$388$	−2.31974	+	8.65739i	−0.117767	+	0.439513i
$389$	11.9713	+	20.7349i	0.606970	+	1.05130i	0.991737	+	0.128290i	$0.0409487\pi$
$389$	11.9713	+	20.7349i	0.606970	+	1.05130i	−0.384766	+	0.923014i	$0.625718\pi$
$390$	−0.870090	−	12.4593i	−0.0440587	−	0.630901i
$391$	22.4365			1.13466
$392$	−6.37017	−	2.90189i	−0.321742	−	0.146568i
$393$	9.68824	+	3.81882i	0.488707	+	0.192634i
$394$	3.74143	+	2.16011i	0.188490	+	0.108825i
$395$	2.43101	−	30.9419i	0.122317	−	1.55686i
$396$	0.116867	−	0.505167i	0.00587280	−	0.0253856i
$397$	6.04487	+	22.5598i	0.303383	+	1.13224i	0.934328	+	0.356414i	$0.116001\pi$
$397$	6.04487	+	22.5598i	0.303383	+	1.13224i	−0.630945	+	0.775828i	$0.717333\pi$
$398$	−6.60236	+	6.60236i	−0.330946	+	0.330946i
$399$	−10.4726	+	6.99530i	−0.524286	+	0.350203i
$400$	1.79309	+	4.66742i	0.0896545	+	0.233371i
$401$	−15.6286	−	9.02316i	−0.780454	−	0.450595i	0.0561374	−	0.998423i	$-0.482122\pi$
$401$	−15.6286	−	9.02316i	−0.780454	−	0.450595i	−0.836591	+	0.547828i	$0.815455\pi$
$402$	−2.20187	+	0.328563i	−0.109819	+	0.0163872i
$403$	6.78914	−	25.3374i	0.338191	−	1.26215i
$404$	−4.95037	+	8.57430i	−0.246290	+	0.426587i
$405$	−17.3321	−	10.2273i	−0.861239	−	0.508201i
$406$	−0.751535	+	2.09370i	−0.0372981	+	0.103908i
$407$	−0.750436	−	0.750436i	−0.0371977	−	0.0371977i
$408$	3.71352	+	4.67070i	0.183847	+	0.231234i
$409$	8.76716	−	5.06172i	0.433508	−	0.250286i	−0.267332	−	0.963605i	$-0.586142\pi$
$409$	8.76716	−	5.06172i	0.433508	−	0.250286i	0.700840	+	0.713318i	$0.252809\pi$
$410$	17.1907	−	14.6862i	0.848989	−	0.725302i
$411$	−1.90109	+	16.6522i	−0.0937737	+	0.821392i
$412$	6.36977	−	6.36977i	0.313816	−	0.313816i
$413$	25.6721	+	2.13124i	1.26324	+	0.104871i
$414$	14.2831	+	13.3313i	0.701976	+	0.655196i
$415$	15.8978	+	5.62733i	0.780395	+	0.276235i
$416$	−2.79277	+	1.61241i	−0.136927	+	0.0790547i
$417$	−2.59705	−	17.4042i	−0.127178	−	0.852286i
$418$	0.458811	−	0.122938i	0.0224412	−	0.00601310i
$419$	−6.63936			−0.324354			−0.162177	−	0.986762i	$-0.551852\pi$
$419$	−6.63936			−0.324354			−0.162177	+	0.986762i	$0.551852\pi$
$420$	8.94051	−	5.00673i	0.436252	−	0.244303i
$421$	8.33324			0.406137			0.203069	−	0.979165i	$-0.434909\pi$
$421$	8.33324			0.406137			0.203069	+	0.979165i	$0.434909\pi$
$422$	−17.1679	+	4.60012i	−0.835720	+	0.223931i
$423$	−4.02428	+	2.51212i	−0.195667	+	0.122144i
$424$	9.16619	−	5.29210i	0.445150	−	0.257007i
$425$	10.1286	+	13.9329i	0.491307	+	0.675845i
$426$	6.21893	+	14.3114i	0.301308	+	0.693389i
$427$	−13.6255	−	28.8845i	−0.659384	−	1.39782i
$428$	−4.29839	+	4.29839i	−0.207770	+	0.207770i
$429$	0.959153	+	0.109501i	0.0463083	+	0.00528676i
$430$	−0.791673	+	10.0764i	−0.0381779	+	0.485928i
$431$	19.2198	−	11.0966i	0.925787	−	0.534503i	0.0403101	−	0.999187i	$-0.487165\pi$
$431$	19.2198	−	11.0966i	0.925787	−	0.534503i	0.885477	+	0.464684i	$0.153832\pi$
$432$	−0.411194	+	5.17986i	−0.0197836	+	0.249216i
$433$	8.46111	+	8.46111i	0.406615	+	0.406615i	0.880556	−	0.473941i	$-0.157169\pi$
$433$	8.46111	+	8.46111i	0.406615	+	0.406615i	−0.473941	+	0.880556i	$0.657169\pi$
$434$	21.1773	−	3.83113i	1.01654	−	0.183900i
$435$	−1.82067	−	2.69978i	−0.0872942	−	0.129445i
$436$	−7.85302	+	13.6018i	−0.376092	+	0.651410i
$437$	−4.63243	+	17.2884i	−0.221599	+	0.827019i
$438$	−0.0187124	−	0.125401i	−0.000894111	−	0.00599189i
$439$	−6.47188	−	3.73654i	−0.308886	−	0.178335i	0.337542	−	0.941311i	$-0.390405\pi$
$439$	−6.47188	−	3.73654i	−0.308886	−	0.178335i	−0.646428	+	0.762975i	$0.723738\pi$
$440$	−0.379993	+	0.0704801i	−0.0181154	+	0.00336001i
$441$	−12.7790	−	16.6643i	−0.608523	−	0.793536i
$442$	−7.85576	+	7.85576i	−0.373660	+	0.373660i
$443$	−0.830863	−	3.10082i	−0.0394755	−	0.147325i	0.943375	−	0.331728i	$-0.107631\pi$
$443$	−0.830863	−	3.10082i	−0.0394755	−	0.147325i	−0.982851	+	0.184403i	$0.940965\pi$
$444$	8.54793	+	6.32812i	0.405667	+	0.300319i
$445$	−31.3275	−	2.46130i	−1.48506	−	0.116677i
$446$	25.4519	+	14.6946i	1.20518	+	0.695811i
$447$	−3.37874	+	8.57176i	−0.159809	+	0.405430i
$448$	−2.17399	−	1.50791i	−0.102711	−	0.0712418i
$449$	−28.3899			−1.33980			−0.669901	−	0.742451i	$-0.733663\pi$
$449$	−28.3899			−1.33980			−0.669901	+	0.742451i	$0.733663\pi$
$450$	−1.83077	+	14.8879i	−0.0863034	+	0.701820i
$451$	0.873812	+	1.51349i	0.0411462	+	0.0712673i
$452$	−0.603920	+	2.25386i	−0.0284060	+	0.106013i
$453$	16.8219	+	21.1579i	0.790364	+	0.994084i
$454$		−	6.31097i		−	0.296189i
$455$	11.1497	+	15.4811i	0.522706	+	0.725764i
$456$	−4.36573	+	1.89710i	−0.204444	+	0.0888398i
$457$	0.586692	+	2.18957i	0.0274443	+	0.102424i	0.978289	−	0.207243i	$-0.0664492\pi$
$457$	0.586692	+	2.18957i	0.0274443	+	0.102424i	−0.950845	+	0.309667i	$0.899782\pi$
$458$	0.915168	+	0.245219i	0.0427630	+	0.0114583i
$459$	3.25030	+	17.6036i	0.151711	+	0.821665i
$460$	4.85929	−	13.7281i	0.226565	−	0.640074i
$461$		−	12.6234i		−	0.587928i	−0.955816	−	0.293964i	$-0.905025\pi$
$461$		−	12.6234i		−	0.587928i	0.955816	−	0.293964i	$-0.0949746\pi$
$462$	0.254479	+	0.750040i	0.0118394	+	0.0348950i
$463$	−8.56001	−	8.56001i	−0.397817	−	0.397817i	0.479645	−	0.877463i	$-0.340765\pi$
$463$	−8.56001	−	8.56001i	−0.397817	−	0.397817i	−0.877463	+	0.479645i	$0.840765\pi$
$464$	−0.420390	+	0.728136i	−0.0195161	+	0.0338029i
$465$	−13.8129	+	28.3140i	−0.640556	+	1.31303i
$466$	−4.29869	−	7.44555i	−0.199133	−	0.344908i
$467$	−37.4312	+	10.0297i	−1.73211	+	0.464118i	−0.980668	−	0.195680i	$-0.937309\pi$
$467$	−37.4312	+	10.0297i	−1.73211	+	0.464118i	−0.751443	+	0.659797i	$0.770642\pi$
$468$	−9.66869	+	0.333267i	−0.446935	+	0.0154053i
$469$	2.59532	−	2.19743i	0.119841	−	0.101468i
$470$	2.91436	+	2.00241i	0.134429	+	0.0923642i
$471$	−15.5996	−	1.78092i	−0.718790	−	0.0820602i
$472$	9.40475	+	2.52000i	0.432889	+	0.115992i
$473$	−0.754634	−	0.202203i	−0.0346981	−	0.00929733i
$474$	−23.8862	−	2.72695i	−1.09713	−	0.125253i
$475$	−12.8272	+	4.92785i	−0.588553	+	0.226105i
$476$	−8.57888	−	3.07940i	−0.393212	−	0.141144i
$477$	31.7338	−	1.09382i	1.45299	−	0.0500826i
$478$	1.06549	−	0.285497i	0.0487344	−	0.0130583i
$479$	10.0175	+	17.3509i	0.457713	+	0.792783i	0.998840	−	0.0481586i	$-0.0153353\pi$
$479$	10.0175	+	17.3509i	0.457713	+	0.792783i	−0.541126	+	0.840941i	$0.682002\pi$
$480$	3.66209	−	1.26058i	0.167151	−	0.0575375i
$481$	−9.90075	+	17.1486i	−0.451435	+	0.781909i
$482$	−10.5236	−	10.5236i	−0.479338	−	0.479338i
$483$	−29.2703	−	5.82680i	−1.33185	−	0.265129i
$484$			10.9701i			0.498642i
$485$	18.8928	+	6.68743i	0.857876	+	0.303661i
$486$	−8.39051	+	13.1377i	−0.380601	+	0.595939i
$487$	21.2750	+	5.70061i	0.964060	+	0.258319i	0.706318	−	0.707895i	$-0.250355\pi$
$487$	21.2750	+	5.70061i	0.964060	+	0.258319i	0.257742	+	0.966214i	$0.417021\pi$
$488$	−3.12422	−	11.6597i	−0.141427	−	0.527811i
$489$	34.9718	−	15.1968i	1.58148	−	0.687223i
$490$	−7.58457	+	13.6921i	−0.342636	+	0.618547i
$491$			34.1772i			1.54240i	0.636595	+	0.771198i	$0.280342\pi$
$491$			34.1772i			1.54240i	−0.636595	+	0.771198i	$0.719658\pi$
$492$	−10.8993	−	13.7087i	−0.491380	−	0.618036i
$493$	−0.749682	+	2.79785i	−0.0337640	+	0.126009i
$494$	−4.43129	−	7.67521i	−0.199373	−	0.345324i
$495$	−1.10565	−	0.348996i	−0.0496952	−	0.0156862i
$496$	8.13419			0.365236
$497$	−19.5856	−	13.5848i	−0.878536	−	0.609364i
$498$	4.79039	−	12.1531i	0.214663	−	0.544592i
$499$	5.61952	+	3.24443i	0.251564	+	0.145241i	0.620480	−	0.784222i	$-0.286938\pi$
$499$	5.61952	+	3.24443i	0.251564	+	0.145241i	−0.368916	+	0.929463i	$0.620271\pi$
$500$	10.7187	−	3.17970i	0.479353	−	0.142200i
$501$	12.2994	+	9.10540i	0.549498	+	0.406799i
$502$	−5.44831	−	20.3334i	−0.243170	−	0.907523i
$503$	−15.7838	+	15.7838i	−0.703766	+	0.703766i	−0.965217	−	0.261451i	$-0.915799\pi$
$503$	−15.7838	+	15.7838i	−0.703766	+	0.703766i	0.261451	+	0.965217i	$0.415799\pi$
$504$	−3.63161	−	7.05772i	−0.161765	−	0.314376i
$505$	18.2468	+	12.5371i	0.811972	+	0.557892i
$506$	0.974815	+	0.562810i	0.0433358	+	0.0250199i
$507$	0.664781	+	4.45504i	0.0295240	+	0.197855i
$508$	0.782580	−	2.92063i	0.0347214	−	0.129582i
$509$	1.27596	−	2.21004i	0.0565561	−	0.0979581i	−0.836361	−	0.548179i	$-0.815321\pi$
$509$	1.27596	−	2.21004i	0.0565561	−	0.0979581i	0.892917	+	0.450221i	$0.148655\pi$
$510$	11.0623	−	7.46014i	0.489847	−	0.330341i
$511$	0.125149	+	0.147809i	0.00553625	+	0.00653868i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	−14.2355	−	1.13006i	−0.628513	−	0.0498935i
$514$	1.59563	−	0.921235i	0.0703801	−	0.0406339i
$515$	−13.0839	−	15.3151i	−0.576545	−	0.674864i
$516$	7.77869	+	0.888049i	0.342438	+	0.0390942i
$517$	−0.193261	+	0.193261i	−0.00849960	+	0.00849960i
$518$	−16.1902	−	1.34407i	−0.711355	−	0.0590550i
$519$	−13.9134	−	32.0184i	−0.610731	−	1.40545i
$520$	3.10524	+	6.50803i	0.136174	+	0.285396i
$521$	11.9593	−	6.90469i	0.523945	−	0.302500i	−0.214602	−	0.976702i	$-0.568845\pi$
$521$	11.9593	−	6.90469i	0.523945	−	0.302500i	0.738547	+	0.674202i	$0.235512\pi$
$522$	−2.13967	+	1.33567i	−0.0936507	+	0.0584607i
$523$	0.896548	−	0.240229i	0.0392033	−	0.0105045i	−0.239164	−	0.970979i	$-0.576873\pi$
$523$	0.896548	−	0.240229i	0.0392033	−	0.0105045i	0.278367	+	0.960475i	$0.410207\pi$
$524$	−6.01236			−0.262651
$525$	−9.59515	−	20.8070i	−0.418767	−	0.908094i
$526$	−19.3137			−0.842116
$527$	27.0681	−	7.25287i	1.17910	−	0.315940i
$528$	0.0441815	+	0.296083i	0.00192275	+	0.0128854i
$529$	−16.8134	+	9.70721i	−0.731017	+	0.422053i
$530$	−10.1918	−	21.3601i	−0.442702	−	0.927825i
$531$	21.3535	+	19.9305i	0.926663	+	0.864910i
$532$	4.14409	−	5.97465i	0.179669	−	0.259034i
$533$	23.0570	−	23.0570i	0.998709	−	0.998709i
$534$	−2.76093	+	24.1838i	−0.119477	+	1.04654i
$535$	8.82914	+	10.3348i	0.381717	+	0.446812i
$536$	1.11312	−	0.642662i	0.0480796	−	0.0277588i
$537$	−0.179334	−	0.225558i	−0.00773883	−	0.00973356i
$538$	−15.2294	−	15.2294i	−0.656588	−	0.656588i
$539$	−0.933669	−	0.769421i	−0.0402160	−	0.0331413i
$540$	11.4749	+	1.82384i	0.493802	+	0.0784855i
$541$	−14.3269	+	24.8148i	−0.615960	+	1.06687i	0.374256	+	0.927326i	$0.377898\pi$
$541$	−14.3269	+	24.8148i	−0.615960	+	1.06687i	−0.990215	+	0.139548i	$0.955435\pi$
$542$	3.96017	−	14.7795i	0.170104	−	0.634836i
$543$	1.07589	−	0.160545i	0.0461710	−	0.00688965i
$544$	−2.98352	−	1.72254i	−0.127918	−	0.0738532i
$545$	28.9458	+	19.8882i	1.23990	+	0.851916i
$546$	12.2886	−	8.20834i	0.525905	−	0.351284i
$547$	−5.24672	+	5.24672i	−0.224333	+	0.224333i	−0.810320	−	0.585987i	$-0.800707\pi$
$547$	−5.24672	+	5.24672i	−0.224333	+	0.224333i	0.585987	+	0.810320i	$0.300707\pi$
$548$	−2.50449	−	9.34687i	−0.106986	−	0.399279i
$549$	8.16211	−	35.2813i	0.348351	−	1.50577i
$550$	0.0905619	+	0.859423i	0.00386157	+	0.0366459i
$551$	−2.00110	−	1.15533i	−0.0852496	−	0.0492189i
$552$	−10.4944	−	4.13658i	−0.446670	−	0.176065i
$553$	33.2138	−	15.6677i	1.41239	−	0.666259i
$554$	18.2213			0.774149
$555$	15.6037	−	17.9467i	0.662341	−	0.761795i
$556$	5.07978	+	8.79844i	0.215431	+	0.373137i
$557$	−2.57858	+	9.62338i	−0.109258	+	0.407756i	−0.998793	−	0.0491102i	$-0.984361\pi$
$557$	−2.57858	+	9.62338i	−0.109258	+	0.407756i	0.889536	+	0.456866i	$0.151028\pi$
$558$	21.5410	+	11.4660i	0.911904	+	0.485397i
$559$			14.5768i			0.616532i
$560$	−3.74218	+	4.58215i	−0.158136	+	0.193631i
$561$	0.411025	+	0.945877i	0.0173535	+	0.0399350i
$562$	−0.0311631	−	0.116302i	−0.00131453	−	0.00490591i
$563$	−23.4051	−	6.27139i	−0.986409	−	0.264307i	−0.270667	−	0.962673i	$-0.587244\pi$
$563$	−23.4051	−	6.27139i	−0.986409	−	0.264307i	−0.715741	+	0.698366i	$0.753911\pi$
$564$	1.62969	−	2.20136i	0.0686223	−	0.0926939i
$565$	4.91853	+	1.74100i	0.206924	+	0.0732445i
$566$			4.82189i			0.202679i
$567$	0.331394	−	23.8095i	0.0139172	−	0.999903i
$568$	−6.37038	−	6.37038i	−0.267295	−	0.267295i
$569$	−8.36329	+	14.4856i	−0.350607	+	0.607270i	−0.986356	−	0.164627i	$-0.947358\pi$
$569$	−8.36329	+	14.4856i	−0.350607	+	0.607270i	0.635749	+	0.771896i	$0.280691\pi$
$570$	3.46439	+	10.0643i	0.145107	+	0.421548i
$571$	11.2493	+	19.4844i	0.470770	+	0.815397i	0.999441	−	0.0334297i	$-0.0106430\pi$
$571$	11.2493	+	19.4844i	0.470770	+	0.815397i	−0.528671	+	0.848827i	$0.677310\pi$
$572$	−0.538372	+	0.144256i	−0.0225105	+	0.00603167i
$573$	1.50964	+	0.595055i	0.0630659	+	0.0248588i
$574$	25.1794	+	9.03817i	1.05097	+	0.377246i
$575$	−29.7515	−	13.2367i	−1.24072	−	0.552007i
$576$	−0.875819	−	2.86931i	−0.0364925	−	0.119555i
$577$	−42.9101	−	11.4977i	−1.78637	−	0.478656i	−0.794649	−	0.607069i	$-0.792345\pi$
$577$	−42.9101	−	11.4977i	−1.78637	−	0.478656i	−0.991721	+	0.128413i	$0.959012\pi$
$578$	4.95660	+	1.32812i	0.206167	+	0.0552424i
$579$	4.81599	−	42.1847i	0.200146	−	1.75314i
$580$	1.54953	+	1.06466i	0.0643408	+	0.0442075i
$581$	3.55221	+	19.6355i	0.147370	+	0.814619i
$582$	5.69283	−	14.4425i	0.235975	−	0.598662i
$583$	1.76700	−	0.473467i	0.0731817	−	0.0196090i
$584$	0.0366010	+	0.0633947i	0.00151456	+	0.00262329i
$585$	−0.950468	+	21.6118i	−0.0392970	+	0.893538i
$586$	4.59667	−	7.96167i	0.189887	−	0.328894i
$587$	−0.955230	−	0.955230i	−0.0394266	−	0.0394266i	0.687119	−	0.726545i	$-0.258875\pi$
$587$	−0.955230	−	0.955230i	−0.0394266	−	0.0394266i	−0.726545	+	0.687119i	$0.758875\pi$
$588$	10.3921	+	6.24528i	0.428564	+	0.257551i
$589$			22.3548i			0.921112i
$590$	7.26473	−	20.5237i	0.299084	−	0.844947i
$591$	−6.01414	−	4.45233i	−0.247389	−	0.183144i
$592$	−5.93113	−	1.58924i	−0.243768	−	0.0653175i
$593$	−6.65439	−	24.8345i	−0.273263	−	1.01983i	−0.956996	−	0.290100i	$-0.906312\pi$
$593$	−6.65439	−	24.8345i	−0.273263	−	1.01983i	0.683733	−	0.729732i	$-0.260355\pi$
$594$	−0.300360	+	0.846367i	−0.0123239	+	0.0347269i
$595$	−8.36711	+	18.5847i	−0.343018	+	0.761898i
$596$		−	5.31949i		−	0.217895i
$597$	12.6589	−	10.0647i	0.518095	−	0.411921i
$598$	5.43572	−	20.2864i	0.222283	−	0.829572i
$599$	20.7500	+	35.9400i	0.847821	+	1.46847i	0.883149	+	0.469093i	$0.155419\pi$
$599$	20.7500	+	35.9400i	0.847821	+	1.46847i	−0.0353276	+	0.999376i	$0.511247\pi$
$600$	−2.16871	−	8.38431i	−0.0885372	−	0.342288i
$601$	6.20524			0.253117			0.126559	−	0.991959i	$-0.459607\pi$
$601$	6.20524			0.253117			0.126559	+	0.991959i	$0.459607\pi$
$602$	−10.8163	+	5.10229i	−0.440839	+	0.207954i
$603$	3.85368	−	0.132831i	0.156934	−	0.00540931i
$604$	−13.5151	−	7.80296i	−0.549922	−	0.317498i
$605$	24.4546	+	1.92132i	0.994221	+	0.0781128i
$606$	10.2035	−	13.7827i	0.414488	−	0.559884i
$607$	7.92700	+	29.5840i	0.321747	+	1.20078i	0.917542	+	0.397640i	$0.130171\pi$
$607$	7.92700	+	29.5840i	0.321747	+	1.20078i	−0.595795	+	0.803137i	$0.703163\pi$
$608$	1.94330	−	1.94330i	0.0788113	−	0.0788113i
$609$	1.70463	−	3.45534i	0.0690750	−	0.140017i
$610$	−26.5390	+	4.92240i	−1.07453	+	0.199302i
$611$	4.41630	+	2.54975i	0.178665	+	0.103152i
$612$	−5.47288	−	8.76724i	−0.221228	−	0.354395i
$613$	−1.32432	+	4.94242i	−0.0534887	+	0.199623i	−0.987499	−	0.157622i	$-0.949617\pi$
$613$	−1.32432	+	4.94242i	−0.0534887	+	0.199623i	0.934011	+	0.357245i	$0.116284\pi$
$614$	−2.45040	+	4.24422i	−0.0988900	+	0.171283i
$615$	−32.4683	+	21.8958i	−1.30925	+	0.882925i
$616$	−0.295487	−	0.348990i	−0.0119055	−	0.0140612i
$617$	−1.50283	−	1.50283i	−0.0605015	−	0.0605015i	0.676209	−	0.736710i	$-0.263622\pi$
$617$	−1.50283	−	1.50283i	−0.0605015	−	0.0605015i	−0.736710	+	0.676209i	$0.763622\pi$
$618$	−12.2130	+	9.71015i	−0.491278	+	0.390599i
$619$	26.6491	−	15.3858i	1.07112	−	0.618409i	0.142630	−	0.989776i	$-0.454444\pi$
$619$	26.6491	−	15.3858i	1.07112	−	0.618409i	0.928486	+	0.371367i	$0.121111\pi$
$620$	1.42463	−	18.1327i	0.0572146	−	0.728228i
$621$	−21.9603	−	25.7475i	−0.881237	−	1.03321i
$622$	−14.3527	+	14.3527i	−0.575490	+	0.575490i
$623$	−15.8630	−	33.6277i	−0.635536	−	1.34727i
$624$	5.12278	−	2.22607i	0.205075	−	0.0891142i
$625$	−5.21090	−	24.4509i	−0.208436	−	0.978036i
$626$	10.5872	−	6.11252i	0.423150	−	0.244306i
$627$	−0.813708	+	0.121422i	−0.0324964	+	0.00484912i
$628$	8.75604	−	2.34617i	0.349404	−	0.0936225i
$629$	−21.1540			−0.843466
$630$	−16.3691	+	6.85948i	−0.652161	+	0.273288i
$631$	15.9868			0.636424			0.318212	−	0.948020i	$-0.396918\pi$
$631$	15.9868			0.636424			0.318212	+	0.948020i	$0.396918\pi$
$632$	13.4073	−	3.59248i	0.533314	−	0.142901i
$633$	30.4475	−	4.54338i	1.21018	−	0.180583i
$634$	23.4118	−	13.5168i	0.929800	−	0.536820i
$635$	−6.37360	−	2.25605i	−0.252929	−	0.0895286i
$636$	−16.8136	+	7.30623i	−0.666701	+	0.289711i
$637$	−9.35805	+	20.5426i	−0.370780	+	0.813927i
$638$	−0.102755	+	0.102755i	−0.00406810	+	0.00406810i
$639$	−7.89033	−	25.8499i	−0.312137	−	1.02260i
$640$	−1.70012	+	1.45244i	−0.0672033	+	0.0574126i
$641$	−29.7998	+	17.2049i	−1.17702	+	0.679553i	−0.955323	−	0.295563i	$-0.904493\pi$
$641$	−29.7998	+	17.2049i	−1.17702	+	0.679553i	−0.221697	+	0.975116i	$0.571159\pi$
$642$	8.24145	−	6.55251i	0.325264	−	0.258607i
$643$	−4.05504	−	4.05504i	−0.159915	−	0.159915i	0.622614	−	0.782529i	$-0.286071\pi$
$643$	−4.05504	−	4.05504i	−0.159915	−	0.159915i	−0.782529	+	0.622614i	$0.786071\pi$
$644$	16.9556	−	3.06739i	0.668144	−	0.120872i
$645$	3.34200	−	17.1847i	0.131591	−	0.676647i
$646$	4.73396	−	8.19945i	0.186255	−	0.322603i
$647$	−1.51377	+	5.64948i	−0.0595126	+	0.222104i	−0.989277	−	0.146051i	$-0.953344\pi$
$647$	−1.51377	+	5.64948i	−0.0595126	+	0.222104i	0.929765	+	0.368155i	$0.120010\pi$
$648$	1.72526	−	8.83309i	0.0677746	−	0.346997i
$649$	1.45737	+	0.841411i	0.0572067	+	0.0330283i
$650$	15.0516	−	5.78238i	0.590370	−	0.226804i
$651$	−37.1961	+	2.43235i	−1.45783	+	0.0953312i
$652$	−15.5669	+	15.5669i	−0.609647	+	0.609647i
$653$	1.69456	+	6.32418i	0.0663132	+	0.247484i	0.991123	−	0.132944i	$-0.0424432\pi$
$653$	1.69456	+	6.32418i	0.0663132	+	0.247484i	−0.924810	+	0.380429i	$0.875777\pi$
$654$	16.1863	−	21.8642i	0.632934	−	0.854958i
$655$	−1.05301	+	13.4027i	−0.0411445	+	0.523688i
$656$	8.75677	+	5.05572i	0.341894	+	0.197393i
$657$	0.00756502	+	0.219475i	0.000295140	+	0.00856255i
$658$	−0.346140	+	4.16948i	−0.0134939	+	0.162543i
$659$	32.3314			1.25945			0.629727	−	0.776817i	$-0.283167\pi$
$659$	32.3314			1.25945			0.629727	+	0.776817i	$0.283167\pi$
$660$	0.667766	−	0.0466331i	0.0259927	−	0.00181519i
$661$	16.4102	+	28.4234i	0.638285	+	1.10554i	0.985809	+	0.167871i	$0.0536891\pi$
$661$	16.4102	+	28.4234i	0.638285	+	1.10554i	−0.347524	+	0.937671i	$0.612978\pi$
$662$	1.53087	−	5.71328i	0.0594989	−	0.222053i
$663$	15.0621	−	11.9754i	0.584964	−	0.465086i
$664$			7.54199i			0.292686i
$665$	−12.5929	−	10.2844i	−0.488331	−	0.398813i
$666$	−13.4667	−	12.5692i	−0.521822	−	0.487048i
$667$	−1.41721	−	5.28911i	−0.0548747	−	0.204795i
$668$	−8.53419	−	2.28673i	−0.330198	−	0.0884762i
$669$	−40.9125	−	30.2879i	−1.58177	−	1.17100i
$670$	−1.23767	−	2.59393i	−0.0478152	−	0.100212i
$671$		−	2.08631i		−	0.0805412i
$672$	3.44491	+	3.02202i	0.132890	+	0.116577i
$673$	6.60249	+	6.60249i	0.254507	+	0.254507i	0.822816	−	0.568308i	$-0.192402\pi$
$673$	6.60249	+	6.60249i	0.254507	+	0.254507i	−0.568308	+	0.822816i	$0.692402\pi$
$674$	−6.23757	+	10.8038i	−0.240262	+	0.416146i
$675$	6.07543	−	25.2604i	0.233843	−	0.972274i
$676$	−1.30030	−	2.25218i	−0.0500114	−	0.0866224i
$677$	−8.50593	+	2.27916i	−0.326909	+	0.0875951i	−0.418541	−	0.908198i	$-0.637458\pi$
$677$	−8.50593	+	2.27916i	−0.326909	+	0.0875951i	0.0916318	+	0.995793i	$0.470792\pi$
$678$	1.48207	−	3.75996i	0.0569185	−	0.144400i
$679$	4.22139	+	23.3346i	0.162002	+	0.895498i
$680$	−4.36242	+	6.34918i	−0.167291	+	0.243480i
$681$	−1.23987	+	10.8604i	−0.0475118	+	0.416171i
$682$	1.35798	+	0.363869i	0.0519997	+	0.0139333i
$683$	34.4132	+	9.22099i	1.31678	+	0.352831i	0.847772	−	0.530361i	$-0.177943\pi$
$683$	34.4132	+	9.22099i	1.31678	+	0.352831i	0.469012	+	0.883192i	$0.344610\pi$
$684$	7.88557	−	2.40697i	0.301512	−	0.0920327i
$685$	−21.2747	+	3.94598i	−0.812864	+	0.150768i
$686$	−18.5186	+	0.246614i	−0.707044	+	0.00941576i
$687$	−1.52671	−	0.601786i	−0.0582477	−	0.0229596i
$688$	−4.36618	+	1.16991i	−0.166459	+	0.0446025i
$689$	−17.0660	−	29.5592i	−0.650164	−	1.12612i
$690$	−11.0593	+	22.6696i	−0.421019	+	0.863016i
$691$	−0.329316	+	0.570391i	−0.0125278	+	0.0216987i	−0.872221	−	0.489111i	$-0.837321\pi$
$691$	−0.329316	+	0.570391i	−0.0125278	+	0.0216987i	0.859694	+	0.510810i	$0.170654\pi$
$692$	14.2523	+	14.2523i	0.541790	+	0.541790i
$693$	−0.290571	−	1.34072i	−0.0110379	−	0.0509297i
$694$			9.17096i			0.348125i
$695$	20.5031	−	9.78287i	0.777728	−	0.371085i
$696$	0.866488	−	1.17044i	0.0328442	−	0.0443654i
$697$	33.6477	+	9.01588i	1.27450	+	0.341501i
$698$	−4.53620	−	16.9293i	−0.171698	−	0.640784i
$699$	5.93473	+	13.6574i	0.224472	+	0.516569i
$700$	9.55912	+	9.14458i	0.361301	+	0.345632i
$701$		−	11.3501i		−	0.428686i	−0.976758	−	0.214343i	$-0.931239\pi$
$701$		−	11.3501i		−	0.428686i	0.976758	−	0.214343i	$-0.0687610\pi$
$702$	16.7041	+	1.32602i	0.630454	+	0.0500475i
$703$	4.36763	−	16.3002i	0.164728	−	0.614774i
$704$	−0.0864181	−	0.149681i	−0.00325701	−	0.00564130i
$705$	−4.62184	−	4.01845i	−0.174069	−	0.151344i
$706$	1.29021			0.0485578
$707$	−2.16718	+	26.1051i	−0.0815053	+	0.981783i
$708$	−15.6893	−	6.18427i	−0.589640	−	0.232419i
$709$	−12.1585	−	7.01970i	−0.456621	−	0.263630i	0.254001	−	0.967204i	$-0.418253\pi$
$709$	−12.1585	−	7.01970i	−0.456621	−	0.263630i	−0.710622	+	0.703574i	$0.751587\pi$
$710$	−15.3166	+	13.0851i	−0.574821	+	0.491076i
$711$	40.5693	+	9.38547i	1.52147	+	0.351983i
$712$	−3.63725	−	13.5744i	−0.136312	−	0.508722i
$713$	−37.4590	+	37.4590i	−1.40285	+	1.40285i
$714$	14.1582	+	6.98468i	0.529856	+	0.261395i
$715$	0.227285	+	1.22540i	0.00849998	+	0.0458275i
$716$	0.144081	+	0.0831851i	0.00538456	+	0.00310877i
$717$	−1.88966	+	0.281976i	−0.0705707	+	0.0105306i
$718$	−4.37288	+	16.3198i	−0.163195	+	0.609051i
$719$	−1.85130	+	3.20654i	−0.0690418	+	0.119584i	−0.898480	−	0.439015i	$-0.855328\pi$
$719$	−1.85130	+	3.20654i	−0.0690418	+	0.119584i	0.829438	+	0.558599i	$0.188661\pi$
$720$	−6.54965	+	1.44984i	−0.244091	+	0.0540324i
$721$	8.05205	−	22.4321i	0.299874	−	0.835416i
$722$	−8.09436	−	8.09436i	−0.301241	−	0.301241i
$723$	16.0423	+	20.1773i	0.596620	+	0.750402i
$724$	−0.543903	+	0.314023i	−0.0202140	+	0.0116706i
$725$	2.64472	−	3.26775i	0.0982225	−	0.121361i
$726$	2.15522	−	18.8782i	0.0799876	−	0.700635i
$727$	−1.93909	+	1.93909i	−0.0719167	+	0.0719167i	−0.742150	−	0.670234i	$-0.766194\pi$
$727$	−1.93909	+	1.93909i	−0.0719167	+	0.0719167i	0.670234	+	0.742150i	$0.266194\pi$
$728$	−4.86271	+	7.01070i	−0.180224	+	0.259834i
$729$	17.0201	−	20.9599i	0.630373	−	0.776293i
$730$	0.147730	−	0.0704878i	0.00546772	−	0.00260887i
$731$	−13.4861	+	7.78622i	−0.498802	+	0.287984i
$732$	3.08568	+	20.6787i	0.114050	+	0.764307i
$733$	−11.5739	+	3.10122i	−0.427492	+	0.114546i	−0.466149	−	0.884706i	$-0.654359\pi$
$733$	−11.5739	+	3.10122i	−0.427492	+	0.114546i	0.0386564	+	0.999253i	$0.487692\pi$
$734$	−33.0821			−1.22108
$735$	15.7421	−	22.0723i	0.580655	−	0.814150i
$736$	6.51264			0.240059
$737$	0.214581	−	0.0574968i	0.00790419	−	0.00211792i
$738$	16.0631	+	25.7322i	0.591292	+	0.947216i
$739$	10.6023	−	6.12123i	0.390011	−	0.225173i	−0.292154	−	0.956371i	$-0.594372\pi$
$739$	10.6023	−	6.12123i	0.390011	−	0.225173i	0.682165	+	0.731198i	$0.261039\pi$
$740$	−4.58152	+	12.9433i	−0.168420	+	0.475806i
$741$	6.11779	+	14.0786i	0.224743	+	0.517192i
$742$	15.9600	−	23.0099i	0.585910	−	0.844721i
$743$	15.5281	−	15.5281i	0.569671	−	0.569671i	−0.362365	−	0.932036i	$-0.618031\pi$
$743$	15.5281	−	15.5281i	0.569671	−	0.569671i	0.932036	+	0.362365i	$0.118031\pi$
$744$	−13.9979	−	1.59806i	−0.513188	−	0.0585878i
$745$	−11.8582	−	0.931662i	−0.434451	−	0.0341334i
$746$	−5.77981	+	3.33698i	−0.211614	+	0.122175i
$747$	−10.6313	+	19.9728i	−0.388978	+	0.730765i
$748$	−0.421035	−	0.421035i	−0.0153946	−	0.0153946i
$749$	−5.43361	+	15.1374i	−0.198540	+	0.553110i
$750$	−19.0701	+	3.36604i	−0.696343	+	0.122911i
$751$	21.0530	−	36.4649i	0.768235	−	1.33062i	−0.170284	−	0.985395i	$-0.554468\pi$
$751$	21.0530	−	36.4649i	0.768235	−	1.33062i	0.938519	−	0.345228i	$-0.112198\pi$
$752$	−0.409280	+	1.52745i	−0.0149249	+	0.0557005i
$753$	5.38111	+	36.0616i	0.196099	+	1.31416i
$754$	2.34810	+	1.35568i	0.0855128	+	0.0493708i
$755$	−19.7614	+	28.7613i	−0.719191	+	1.04673i
$756$	4.86296	+	12.8589i	0.176864	+	0.467674i
$757$	23.9201	−	23.9201i	0.869389	−	0.869389i	−0.123015	−	0.992405i	$-0.539256\pi$
$757$	23.9201	−	23.9201i	0.869389	−	0.869389i	0.992405	+	0.123015i	$0.0392565\pi$
$758$	−4.17944	−	15.5979i	−0.151804	−	0.566540i
$759$	−1.56696	−	1.16004i	−0.0568771	−	0.0421067i
$760$	−3.99166	−	4.67236i	−0.144793	−	0.169484i
$761$	−0.160794	−	0.0928347i	−0.00582879	−	0.00336526i	0.497083	−	0.867703i	$-0.334405\pi$
$761$	−0.160794	−	0.0928347i	−0.00582879	−	0.00336526i	−0.502912	+	0.864338i	$0.667738\pi$
$762$	−1.92051	+	4.87228i	−0.0695729	+	0.176504i
$763$	−3.43791	+	41.4118i	−0.124461	+	1.49921i
$764$	−0.936855			−0.0338942
$765$	−20.5024	+	10.6646i	−0.741268	+	0.385580i
$766$	−8.11211	−	14.0506i	−0.293103	−	0.507668i
$767$	8.12651	−	30.3285i	0.293431	−	1.09510i
$768$	1.07792	+	1.35576i	0.0388961	+	0.0489218i
$769$		−	29.4164i		−	1.06078i	−0.847753	−	0.530392i	$-0.822045\pi$
$769$		−	29.4164i		−	1.06078i	0.847753	−	0.530392i	$-0.177955\pi$
$770$	−0.829720	+	0.597577i	−0.0299010	+	0.0215352i
$771$	−2.92686	+	1.27185i	−0.105408	+	0.0458045i
$772$	6.34457	+	23.6783i	0.228346	+	0.852199i
$773$	17.1007	+	4.58211i	0.615068	+	0.164807i	0.552885	−	0.833258i	$-0.313527\pi$
$773$	17.1007	+	4.58211i	0.615068	+	0.164807i	0.0621831	+	0.998065i	$0.480194\pi$
$774$	−13.2117	−	3.05644i	−0.474883	−	0.109861i
$775$	−40.1720	−	6.35157i	−1.44302	−	0.228155i
$776$			8.96279i			0.321746i
$777$	27.5972	+	5.49373i	0.990043	+	0.197087i
$778$	16.9300	+	16.9300i	0.606970	+	0.606970i
$779$	−13.8944	+	24.0657i	−0.497817	+	0.862245i
$780$	−4.06514	−	11.8096i	−0.145556	−	0.422850i
$781$	−0.778548	−	1.34848i	−0.0278586	−	0.0482526i
$782$	21.6720	−	5.80700i	0.774990	−	0.207658i
$783$	3.94450	−	1.87815i	0.140965	−	0.0671197i
$784$	−6.90417	−	1.15429i	−0.246578	−	0.0412247i
$785$	−3.69655	−	19.9299i	−0.131935	−	0.711327i
$786$	10.3465	+	1.18120i	0.369048	+	0.0421321i
$787$	−9.72104	−	2.60475i	−0.346518	−	0.0928491i	0.0813625	−	0.996685i	$-0.474073\pi$
$787$	−9.72104	−	2.60475i	−0.346518	−	0.0928491i	−0.427880	+	0.903835i	$0.640740\pi$
$788$	4.17302	+	1.11816i	0.148658	+	0.0398327i
$789$	33.2364	+	3.79441i	1.18325	+	0.135085i
$790$	−5.66018	−	30.5168i	−0.201380	−	1.08574i
$791$	1.09900	+	6.07491i	0.0390758	+	0.215999i
$792$	−0.0178617	−	0.518201i	−0.000634687	−	0.0184135i
$793$	−37.6004	+	10.0750i	−1.33523	+	0.357774i
$794$	11.6778	+	20.2265i	0.414429	+	0.717813i
$795$	13.3423	+	38.7604i	0.473202	+	1.37469i
$796$	−4.66857	+	8.08620i	−0.165473	+	0.286608i
$797$	1.48738	+	1.48738i	0.0526858	+	0.0526858i	0.732959	−	0.680273i	$-0.238139\pi$
$797$	1.48738	+	1.48738i	0.0526858	+	0.0526858i	−0.680273	+	0.732959i	$0.738139\pi$
$798$	−8.30525	+	9.46745i	−0.294003	+	0.335144i
$799$			5.44782i			0.192730i
$800$	2.94001	+	4.04430i	0.103945	+	0.142987i
$801$	9.50243	−	41.0749i	0.335752	−	1.45131i
$802$	−17.4314	−	4.67073i	−0.615524	−	0.164929i
$803$	0.00327456	+	0.0122208i	0.000115557	+	0.000431264i
$804$	−2.04180	+	0.887252i	−0.0720088	+	0.0312910i
$805$	−3.86820	−	38.3346i	−0.136336	−	1.35112i
$806$		−	26.2312i		−	0.923956i
$807$	23.2159	+	29.2000i	0.817239	+	1.02789i
$808$	−2.56250	+	9.56338i	−0.0901485	+	0.336439i
$809$	12.1034	+	20.9637i	0.425534	+	0.737046i	0.996470	−	0.0839482i	$-0.0267530\pi$
$809$	12.1034	+	20.9637i	0.425534	+	0.737046i	−0.570936	+	0.820994i	$0.693420\pi$
$810$	−19.3885	−	5.39298i	−0.681244	−	0.189490i
$811$	−28.4058			−0.997462			−0.498731	−	0.866757i	$-0.666201\pi$
$811$	−28.4058			−0.997462			−0.498731	+	0.866757i	$0.666201\pi$
$812$	−0.184039	+	2.21687i	−0.00645850	+	0.0777968i
$813$	−9.71856	+	24.6557i	−0.340845	+	0.864712i
$814$	−0.919093	−	0.530639i	−0.0322142	−	0.0185989i
$815$	31.9753	+	37.4281i	1.12005	+	1.31105i
$816$	4.79585	+	3.55042i	0.167888	+	0.124290i
$817$	−3.21521	−	11.9993i	−0.112486	−	0.419803i
$818$	7.15836	−	7.15836i	0.250286	−	0.250286i
$819$	−22.7598	+	11.7112i	−0.795292	+	0.409224i
$820$	12.8039	−	18.6351i	0.447131	−	0.650766i
$821$	20.2229	+	11.6757i	0.705783	+	0.407484i	0.809498	−	0.587123i	$-0.199740\pi$
$821$	20.2229	+	11.6757i	0.705783	+	0.407484i	−0.103715	+	0.994607i	$0.533073\pi$
$822$	2.47360	+	16.5768i	0.0862766	+	0.578183i
$823$	9.58542	−	35.7733i	0.334127	−	1.24698i	−0.570686	−	0.821168i	$-0.693323\pi$
$823$	9.58542	−	35.7733i	0.334127	−	1.24698i	0.904813	−	0.425810i	$-0.140011\pi$
$824$	4.50411	−	7.80135i	0.156908	−	0.271773i
$825$	0.0129987	−	1.49675i	0.000452556	−	0.0521101i
$826$	25.3489	−	4.58581i	0.882002	−	0.159561i
$827$	13.5105	+	13.5105i	0.469805	+	0.469805i	0.901851	−	0.432047i	$-0.142208\pi$
$827$	13.5105	+	13.5105i	0.469805	+	0.469805i	−0.432047	+	0.901851i	$0.642208\pi$
$828$	17.2468	+	9.18028i	0.599368	+	0.319037i
$829$	−34.5823	+	19.9661i	−1.20109	+	0.693452i	−0.960799	−	0.277247i	$-0.910578\pi$
$829$	−34.5823	+	19.9661i	−1.20109	+	0.693452i	−0.240296	+	0.970700i	$0.577245\pi$
$830$	16.8126	+	1.32091i	0.583574	+	0.0458496i
$831$	−31.3565	−	3.57980i	−1.08775	−	0.124182i
$832$	−2.28029	+	2.28029i	−0.0790547	+	0.0790547i
$833$	−24.0042	+	2.31499i	−0.831695	+	0.0802098i
$834$	−7.01309	−	16.1390i	−0.242844	−	0.558847i
$835$	−6.59226	+	18.6239i	−0.228135	+	0.644507i
$836$	0.411359	−	0.237498i	0.0142271	−	0.00821405i
$837$	−34.8167	−	23.9636i	−1.20344	−	0.828303i
$838$	−6.41313	+	1.71839i	−0.221538	+	0.0593609i
$839$	−3.82196			−0.131949			−0.0659743	−	0.997821i	$-0.521016\pi$
$839$	−3.82196			−0.131949			−0.0659743	+	0.997821i	$0.521016\pi$
$840$	7.34003	−	7.15010i	0.253255	−	0.246702i
$841$	−28.2931			−0.975624
$842$	8.04929	−	2.15680i	0.277397	−	0.0743282i
$843$	0.0307787	+	0.206264i	0.00106007	+	0.00710410i
$844$	−15.3923	+	8.88676i	−0.529825	+	0.305895i
$845$	−5.24829	+	2.50417i	−0.180547	+	0.0861461i
$846$	−3.23697	+	3.46809i	−0.111289	+	0.119235i
$847$	12.3828	+	26.2502i	0.425478	+	0.901967i
$848$	7.48417	−	7.48417i	0.257007	−	0.257007i
$849$	0.947319	−	8.29785i	0.0325119	−	0.284782i
$850$	13.3895	+	10.8367i	0.459257	+	0.371696i
$851$	34.6323	−	19.9950i	1.18718	−	0.685419i
$852$	9.71108	+	12.2142i	0.332696	+	0.418450i
$853$	−22.9546	−	22.9546i	−0.785949	−	0.785949i	0.194878	−	0.980827i	$-0.437569\pi$
$853$	−22.9546	−	22.9546i	−0.785949	−	0.785949i	−0.980827	+	0.194878i	$0.937569\pi$
$854$	−20.6371	−	24.3738i	−0.706186	−	0.834054i
$855$	−3.98452	−	18.0001i	−0.136268	−	0.615589i
$856$	−3.03942	+	5.26443i	−0.103885	+	0.179935i
$857$	2.42738	−	9.05910i	0.0829176	−	0.309453i	−0.911994	−	0.410203i	$-0.865458\pi$
$857$	2.42738	−	9.05910i	0.0829176	−	0.309453i	0.994912	+	0.100751i	$0.0321244\pi$
$858$	0.954811	−	0.142477i	0.0325967	−	0.00486409i
$859$	22.9758	+	13.2651i	0.783923	+	0.452598i	0.837819	−	0.545949i	$-0.183831\pi$
$859$	22.9758	+	13.2651i	0.783923	+	0.452598i	−0.0538960	+	0.998547i	$0.517164\pi$
$860$	1.84327	+	9.93798i	0.0628551	+	0.338882i
$861$	−41.5548	−	20.5003i	−1.41618	−	0.698650i
$862$	15.6929	−	15.6929i	0.534503	−	0.534503i
$863$	7.52307	+	28.0765i	0.256088	+	0.955735i	0.967482	+	0.252941i	$0.0813978\pi$
$863$	7.52307	+	28.0765i	0.256088	+	0.955735i	−0.711393	+	0.702794i	$0.751936\pi$
$864$	0.943463	+	5.10978i	0.0320973	+	0.173838i
$865$	34.2673	−	29.2750i	1.16512	−	0.995378i
$866$	10.3627	+	5.98291i	0.352139	+	0.203308i
$867$	−8.26875	−	3.25931i	−0.280822	−	0.110692i
$868$	19.4641	−	9.18168i	0.660656	−	0.311646i
$869$	2.39901			0.0813810
$870$	−2.45738	−	2.13657i	−0.0833131	−	0.0724364i
$871$	−2.07246	−	3.58961i	−0.0702227	−	0.121629i
$872$	−4.06502	+	15.1709i	−0.137659	+	0.513751i
$873$	−12.6341	+	23.7353i	−0.427598	+	0.803319i
$874$			17.8983i			0.605420i
$875$	22.0593	−	19.7076i	0.745739	−	0.666238i
$876$	−0.0505309	−	0.116285i	−0.00170728	−	0.00392891i
$877$	−13.9767	−	52.1619i	−0.471961	−	1.76138i	−0.632712	−	0.774387i	$-0.718059\pi$
$877$	−13.9767	−	52.1619i	−0.471961	−	1.76138i	0.160752	−	0.986995i	$-0.448608\pi$
$878$	−7.21845	−	1.93418i	−0.243611	−	0.0652753i
$879$	−9.47446	+	12.7979i	−0.319566	+	0.431664i
$880$	−0.348803	+	0.166428i	−0.0117581	+	0.00561028i
$881$		−	54.1575i		−	1.82461i	−0.409509	−	0.912306i	$-0.634300\pi$
$881$		−	54.1575i		−	1.82461i	0.409509	−	0.912306i	$-0.365700\pi$
$882$	−16.6566	−	12.7890i	−0.560856	−	0.430628i
$883$	19.2945	+	19.2945i	0.649313	+	0.649313i	0.952827	−	0.303514i	$-0.0981599\pi$
$883$	19.2945	+	19.2945i	0.649313	+	0.649313i	−0.303514	+	0.952827i	$0.598160\pi$
$884$	−5.55486	+	9.62130i	−0.186830	+	0.323599i
$885$	−16.5338	+	33.8914i	−0.555778	+	1.13925i
$886$	−1.60510	−	2.78012i	−0.0539245	−	0.0934001i
$887$	−31.6212	+	8.47287i	−1.06174	+	0.284491i	−0.747093	−	0.664719i	$-0.768551\pi$
$887$	−31.6212	+	8.47287i	−1.06174	+	0.284491i	−0.314642	+	0.949210i	$0.601884\pi$
$888$	9.89450	+	3.90013i	0.332038	+	0.130880i
$889$	−1.42411	−	7.87207i	−0.0477633	−	0.264021i
$890$	−30.8970	+	5.73071i	−1.03567	+	0.192094i
$891$	0.683160	−	1.39748i	0.0228867	−	0.0468174i
$892$	28.3879	+	7.60651i	0.950496	+	0.254685i
$893$	−4.19782	−	1.12480i	−0.140475	−	0.0376400i
$894$	−1.04508	+	9.15417i	−0.0349527	+	0.306161i
$895$	0.210671	−	0.306616i	0.00704194	−	0.0102490i
$896$	−2.49019	−	0.893856i	−0.0831912	−	0.0298616i
$897$	−13.3397	+	33.8424i	−0.445399	+	1.12996i
$898$	−27.4225	+	7.34784i	−0.915102	+	0.245201i
$899$	−3.41953	−	5.92280i	−0.114048	−	0.197536i
$900$	2.08487	+	14.8544i	0.0694957	+	0.495147i
$901$	18.2317	−	31.5782i	0.607386	−	1.05202i
$902$	1.23576	+	1.23576i	0.0411462	+	0.0411462i
$903$	19.6159	−	6.65540i	0.652775	−	0.221478i
$904$			2.33337i			0.0776067i
$905$	0.604759	+	1.26747i	0.0201029	+	0.0421320i
$906$	21.7248	+	16.0831i	0.721759	+	0.534325i
$907$	10.4202	+	2.79208i	0.345997	+	0.0927095i	0.427632	−	0.903953i	$-0.359348\pi$
$907$	10.4202	+	2.79208i	0.345997	+	0.0927095i	−0.0816359	+	0.996662i	$0.526014\pi$
$908$	−1.63340	−	6.09593i	−0.0542063	−	0.202301i
$909$	−20.2667	+	21.7137i	−0.672203	+	0.720198i
$910$	14.7766	+	12.0678i	0.489839	+	0.400044i
$911$			25.0692i			0.830579i	0.909689	+	0.415290i	$0.136320\pi$
$911$			25.0692i			0.830579i	−0.909689	+	0.415290i	$0.863680\pi$
$912$	−3.72596	+	2.96239i	−0.123379	+	0.0980946i
$913$	−0.337378	+	1.25911i	−0.0111656	+	0.0416706i
$914$	1.13340	+	1.96311i	0.0374896	+	0.0649340i
$915$	46.6374	−	3.25690i	1.54178	−	0.107670i
$916$	0.947452			0.0313047
$917$	−14.3868	+	6.78660i	−0.475095	+	0.224113i
$918$	7.69569	+	16.1625i	0.253996	+	0.533443i
$919$	8.61762	+	4.97538i	0.284269	+	0.164123i	0.635354	−	0.772221i	$-0.280854\pi$
$919$	8.61762	+	4.97538i	0.284269	+	0.164123i	−0.351086	+	0.936343i	$0.614187\pi$
$920$	1.14063	−	14.5180i	0.0376055	−	0.478643i
$921$	5.05065	−	6.82234i	0.166425	−	0.224804i
$922$	−3.26716	−	12.1932i	−0.107598	−	0.401562i
$923$	−20.5433	+	20.5433i	−0.676191	+	0.676191i
$924$	0.439932	+	0.658619i	0.0144727	+	0.0216670i
$925$	28.0508	+	12.4800i	0.922306	+	0.410341i
$926$	−10.4838	−	6.05284i	−0.344520	−	0.198909i
$927$	22.9247	−	14.3105i	0.752945	−	0.470020i
$928$	−0.217610	+	0.812130i	−0.00714339	+	0.0266595i
$929$	5.51726	−	9.55617i	0.181015	−	0.313528i	−0.761211	−	0.648504i	$-0.775395\pi$
$929$	5.51726	−	9.55617i	0.181015	−	0.313528i	0.942227	+	0.334976i	$0.108728\pi$
$930$	−6.01401	+	30.9242i	−0.197207	+	1.01405i
$931$	3.17228	−	18.9744i	0.103967	−	0.621860i
$932$	−6.07926	−	6.07926i	−0.199133	−	0.199133i
$933$	27.5189	−	21.8794i	0.900929	−	0.716299i
$934$	−33.5599	+	19.3758i	−1.09811	+	0.633997i
$935$	−1.01231	+	0.864831i	−0.0331061	+	0.0282830i
$936$	−9.25298	+	2.82435i	−0.302443	+	0.0923168i
$937$	24.3351	−	24.3351i	0.794993	−	0.794993i	−0.187308	−	0.982301i	$-0.559976\pi$
$937$	24.3351	−	24.3351i	0.794993	−	0.794993i	0.982301	+	0.187308i	$0.0599763\pi$
$938$	1.93815	−	2.79428i	0.0632827	−	0.0912364i
$939$	−19.4201	+	8.43889i	−0.633751	+	0.275393i
$940$	3.33331	+	1.17989i	0.108721	+	0.0384836i
$941$	15.8705	−	9.16283i	0.517363	−	0.298700i	−0.218492	−	0.975839i	$-0.570114\pi$
$941$	15.8705	−	9.16283i	0.517363	−	0.298700i	0.735855	+	0.677139i	$0.236780\pi$
$942$	−15.5290	+	2.31724i	−0.505961	+	0.0754996i
$943$	−63.6083	+	17.0438i	−2.07137	+	0.555022i
$944$	9.73652			0.316897
$945$	29.5168	−	8.58837i	0.960181	−	0.279380i
$946$	−0.781254			−0.0254008
$947$	−50.6300	+	13.5663i	−1.64525	+	0.440844i	−0.958278	−	0.285837i	$-0.907728\pi$
$947$	−50.6300	+	13.5663i	−1.64525	+	0.440844i	−0.686975	+	0.726681i	$0.741062\pi$
$948$	−23.7781	+	3.54817i	−0.772276	+	0.115239i
$949$	0.204436	−	0.118031i	0.00663627	−	0.00383145i
$950$	−11.1147	+	8.07987i	−0.360609	+	0.262146i
$951$	−42.9442	+	18.6611i	−1.39256	+	0.605129i
$952$	−9.08357	−	0.754096i	−0.294400	−	0.0244404i
$953$	9.37397	−	9.37397i	0.303653	−	0.303653i	−0.538788	−	0.842441i	$-0.681118\pi$
$953$	9.37397	−	9.37397i	0.303653	−	0.303653i	0.842441	+	0.538788i	$0.181118\pi$
$954$	30.3694	−	9.26986i	0.983245	−	0.300123i
$955$	−0.164082	+	2.08843i	−0.00530956	+	0.0675802i
$956$	0.955292	−	0.551538i	0.0308963	−	0.0178380i
$957$	0.197015	−	0.156640i	0.00636860	−	0.00506346i
$958$	14.1669	+	14.1669i	0.457713	+	0.457713i
$959$	−16.5435	−	19.5389i	−0.534216	−	0.630945i
$960$	3.21105	−	2.16545i	0.103636	−	0.0698896i
$961$	−17.5826	+	30.4539i	−0.567179	+	0.982384i
$962$	−5.12501	+	19.1268i	−0.165237	+	0.616672i
$963$	−15.4698	+	9.65690i	−0.498508	+	0.311189i
$964$	−12.8888	−	7.44133i	−0.415119	−	0.239669i
$965$	53.8947	−	9.99627i	1.73493	−	0.321791i
$966$	−29.7810	+	1.94746i	−0.958189	+	0.0626584i
$967$	8.40858	−	8.40858i	0.270402	−	0.270402i	−0.558860	−	0.829262i	$-0.688761\pi$
$967$	8.40858	−	8.40858i	0.270402	−	0.270402i	0.829262	+	0.558860i	$0.188761\pi$
$968$	2.83928	+	10.5963i	0.0912578	+	0.340579i
$969$	−9.75742	+	13.1802i	−0.313453	+	0.423408i
$970$	19.9798	+	1.56975i	0.641514	+	0.0504018i
$971$	41.1227	+	23.7422i	1.31969	+	0.761924i	0.983679	−	0.179933i	$-0.0575882\pi$
$971$	41.1227	+	23.7422i	1.31969	+	0.761924i	0.336013	+	0.941857i	$0.390922\pi$
$972$	−4.70432	+	14.8617i	−0.150891	+	0.476688i
$973$	22.0868	+	15.3197i	0.708069	+	0.491126i
$974$	22.0255			0.705741
$975$	−27.0378	+	6.99368i	−0.865903	+	0.223977i
$976$	−6.03552	−	10.4538i	−0.193192	−	0.334619i
$977$	14.0296	−	52.3593i	0.448848	−	1.67512i	−0.256723	−	0.966485i	$-0.582643\pi$
$977$	14.0296	−	52.3593i	0.448848	−	1.67512i	0.705571	−	0.708639i	$-0.250690\pi$
$978$	29.8470	−	23.7304i	0.954401	−	0.758813i
$979$		−	2.42891i		−	0.0776283i
$980$	−3.78235	+	15.1886i	−0.120823	+	0.485182i
$981$	−32.1501	+	34.4455i	−1.02647	+	1.09976i
$982$	8.84572	+	33.0127i	0.282278	+	1.05348i
$983$	−10.1451	−	2.71838i	−0.323579	−	0.0867028i	0.0933730	−	0.995631i	$-0.470235\pi$
$983$	−10.1451	−	2.71838i	−0.323579	−	0.0867028i	−0.416952	+	0.908928i	$0.636902\pi$
$984$	−14.0760	−	10.4206i	−0.448727	−	0.332197i
$985$	3.22346	−	9.10666i	0.102708	−	0.290162i
$986$			2.89655i			0.0922449i
$987$	1.41481	−	7.10714i	0.0450338	−	0.226223i
$988$	−6.26678	−	6.26678i	−0.199373	−	0.199373i
$989$	14.7192	−	25.4944i	0.468044	−	0.810675i
$990$	−1.15830	−	0.0509410i	−0.0368132	−	0.00161901i
$991$	−12.3659	−	21.4183i	−0.392815	−	0.680375i	0.600005	−	0.799996i	$-0.295165\pi$
$991$	−12.3659	−	21.4183i	−0.392815	−	0.680375i	−0.992820	+	0.119621i	$0.961832\pi$
$992$	7.85703	−	2.10528i	0.249461	−	0.0668428i
$993$	−3.75687	+	9.53107i	−0.119221	+	0.302459i
$994$	−22.4343	−	8.05282i	−0.711572	−	0.255420i
$995$	17.2081	+	11.8234i	0.545533	+	0.374827i
$996$	1.48172	−	12.9788i	0.0469500	−	0.411249i
$997$	51.1086	+	13.6945i	1.61862	+	0.433709i	0.950597	−	0.310427i	$-0.100472\pi$
$997$	51.1086	+	13.6945i	1.61862	+	0.433709i	0.668028	+	0.744137i	$0.267139\pi$
$998$	6.26776	+	1.67944i	0.198403	+	0.0531618i
$999$	20.7050	+	24.2757i	0.655078	+	0.768050i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.2.x.a.23.9	yes	64
3.2	odd	2	inner	210.2.x.a.23.8	✓	64
5.2	odd	4	inner	210.2.x.a.107.12	yes	64
7.4	even	3	inner	210.2.x.a.53.6	yes	64
15.2	even	4	inner	210.2.x.a.107.6	yes	64
21.11	odd	6	inner	210.2.x.a.53.12	yes	64
35.32	odd	12	inner	210.2.x.a.137.8	yes	64
105.32	even	12	inner	210.2.x.a.137.9	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.2.x.a.23.8	✓	64	3.2	odd	2	inner
210.2.x.a.23.9	yes	64	1.1	even	1	trivial
210.2.x.a.53.6	yes	64	7.4	even	3	inner
210.2.x.a.53.12	yes	64	21.11	odd	6	inner
210.2.x.a.107.6	yes	64	15.2	even	4	inner
210.2.x.a.107.12	yes	64	5.2	odd	4	inner
210.2.x.a.137.8	yes	64	35.32	odd	12	inner
210.2.x.a.137.9	yes	64	105.32	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	210.x (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.965926 - 0.258819i) q^{2} +(-1.71308 + 0.255627i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.962923 - 2.01811i) q^{5} +(-1.58855 + 0.690295i) q^{6} +(1.50791 - 2.17399i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.86931 - 0.875819i) q^{9} +O(q^{10})\)	\(q+(0.965926 - 0.258819i) q^{2} +(-1.71308 + 0.255627i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.962923 - 2.01811i) q^{5} +(-1.58855 + 0.690295i) q^{6} +(1.50791 - 2.17399i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.86931 - 0.875819i) q^{9} +(-1.45244 - 1.70012i) q^{10} +(0.149681 - 0.0864181i) q^{11} +(-1.35576 + 1.07792i) q^{12} +(-2.28029 - 2.28029i) q^{13} +(0.893856 - 2.49019i) q^{14} +(2.16545 + 3.21105i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.891651 - 3.32769i) q^{17} +(2.54486 - 1.58861i) q^{18} +(2.38005 + 1.37412i) q^{19} +(-1.84297 - 1.26628i) q^{20} +(-2.02744 + 4.10968i) q^{21} +(0.122214 - 0.122214i) q^{22} +(1.68559 + 6.29072i) q^{23} +(-1.03058 + 1.39209i) q^{24} +(-3.14556 + 3.88657i) q^{25} +(-2.79277 - 1.61241i) q^{26} +(-4.69148 + 2.23382i) q^{27} +(0.218891 - 2.63668i) q^{28} -0.840779 q^{29} +(2.92274 + 2.54117i) q^{30} +(4.06710 + 7.04442i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-0.234325 + 0.186304i) q^{33} -3.44508i q^{34} +(-5.83935 - 0.949743i) q^{35} +(2.04699 - 2.19314i) q^{36} +(-1.58924 - 5.93113i) q^{37} +(2.65460 + 0.711298i) q^{38} +(4.48922 + 3.32342i) q^{39} +(-2.10791 - 0.746132i) q^{40} +10.1114i q^{41} +(-0.894692 + 4.49439i) q^{42} +(-3.19626 - 3.19626i) q^{43} +(0.0864181 - 0.149681i) q^{44} +(-4.53043 - 4.94725i) q^{45} +(3.25632 + 5.64011i) q^{46} +(-1.52745 + 0.409280i) q^{47} +(-0.635163 + 1.61139i) q^{48} +(-2.45244 - 6.55634i) q^{49} +(-2.03246 + 4.56827i) q^{50} +(-0.676827 + 5.92854i) q^{51} +(-3.11493 - 0.834642i) q^{52} +(10.2236 + 2.73940i) q^{53} +(-3.95347 + 3.37195i) q^{54} +(-0.318532 - 0.218858i) q^{55} +(-0.470991 - 2.60349i) q^{56} +(-4.42849 - 1.74558i) q^{57} +(-0.812130 + 0.217610i) q^{58} +(4.86826 + 8.43207i) q^{59} +(3.48086 + 1.69812i) q^{60} +(6.03552 - 10.4538i) q^{61} +(5.75174 + 5.75174i) q^{62} +(2.42263 - 7.55850i) q^{63} -1.00000i q^{64} +(-2.40614 + 6.79761i) q^{65} +(-0.178121 + 0.240603i) q^{66} +(1.24153 + 0.332666i) q^{67} +(-0.891651 - 3.32769i) q^{68} +(-4.49564 - 10.3457i) q^{69} +(-5.88619 + 0.593954i) q^{70} -9.00908i q^{71} +(1.40961 - 2.64821i) q^{72} +(-0.0189461 + 0.0707076i) q^{73} +(-3.07018 - 5.31771i) q^{74} +(4.39510 - 7.46211i) q^{75} +2.74825 q^{76} +(0.0378323 - 0.455714i) q^{77} +(5.19642 + 2.04828i) q^{78} +(12.0207 + 6.94014i) q^{79} +(-2.22920 - 0.175141i) q^{80} +(7.46588 - 5.02600i) q^{81} +(2.61703 + 9.76690i) q^{82} +(-5.33300 + 5.33300i) q^{83} +(0.299027 + 4.57281i) q^{84} +(-7.57424 + 1.40485i) q^{85} +(-3.91461 - 2.26010i) q^{86} +(1.44032 - 0.214926i) q^{87} +(0.0447333 - 0.166947i) q^{88} +(7.02662 - 12.1705i) q^{89} +(-5.65650 - 3.60611i) q^{90} +(-8.39577 + 1.51886i) q^{91} +(4.60513 + 4.60513i) q^{92} +(-8.76802 - 11.0280i) q^{93} +(-1.36948 + 0.790668i) q^{94} +(0.481331 - 6.12638i) q^{95} +(-0.196462 + 1.72087i) q^{96} +(-6.33765 + 6.33765i) q^{97} +(-4.06578 - 5.69820i) q^{98} +(0.353793 - 0.379054i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q + 8 q^{6} + 4 q^{7}+O(q^{10}) \) 64 * q + 8 * q^6 + 4 * q^7	\( 64 q + 8 q^{6} + 4 q^{7} + 4 q^{10} - 24 q^{15} + 32 q^{16} - 8 q^{18} + 12 q^{21} - 24 q^{22} - 8 q^{25} - 72 q^{27} + 4 q^{28} - 12 q^{30} + 32 q^{31} - 20 q^{33} - 24 q^{36} - 8 q^{37} - 40 q^{42} - 64 q^{43} - 28 q^{45} + 24 q^{46} - 16 q^{55} + 24 q^{57} - 28 q^{58} + 8 q^{60} + 24 q^{61} - 88 q^{63} - 16 q^{67} - 12 q^{70} + 8 q^{72} - 56 q^{73} + 8 q^{75} - 32 q^{76} - 16 q^{78} + 4 q^{81} + 16 q^{82} + 32 q^{85} + 76 q^{87} + 12 q^{88} + 40 q^{90} - 48 q^{91} + 84 q^{93} + 4 q^{96} + 104 q^{97}+O(q^{100}) \) 64 * q + 8 * q^6 + 4 * q^7 + 4 * q^10 - 24 * q^15 + 32 * q^16 - 8 * q^18 + 12 * q^21 - 24 * q^22 - 8 * q^25 - 72 * q^27 + 4 * q^28 - 12 * q^30 + 32 * q^31 - 20 * q^33 - 24 * q^36 - 8 * q^37 - 40 * q^42 - 64 * q^43 - 28 * q^45 + 24 * q^46 - 16 * q^55 + 24 * q^57 - 28 * q^58 + 8 * q^60 + 24 * q^61 - 88 * q^63 - 16 * q^67 - 12 * q^70 + 8 * q^72 - 56 * q^73 + 8 * q^75 - 32 * q^76 - 16 * q^78 + 4 * q^81 + 16 * q^82 + 32 * q^85 + 76 * q^87 + 12 * q^88 + 40 * q^90 - 48 * q^91 + 84 * q^93 + 4 * q^96 + 104 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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