LMFDB - Embedded newform 605.2.g.m.81.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(81,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("605.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.g (of order $5$, degree $4$, not minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.13140625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 $ x^8 - 3x^7 + 5x^6 - 3x^5 + 4x^4 + 3x^3 + 5x^2 + 3*x + 1
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 55)
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			81.2
Root			$1.69513 - 1.23158i$ of defining polynomial
Character	$\chi$	$=$	605.81
Dual form			605.2.g.m.366.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.69513 + 1.23158i) q^{2} +(0.591149 - 1.81937i) q^{3} +(0.738630 + 2.27327i) q^{4} +(0.809017 - 0.587785i) q^{5} +(3.24278 - 2.35601i) q^{6} +(-0.947813 - 2.91707i) q^{7} +(-0.252684 + 0.777682i) q^{8} +(-0.533593 - 0.387678i) q^{9} +O(q^{10})$	\(q+(1.69513 + 1.23158i) q^{2} +(0.591149 - 1.81937i) q^{3} +(0.738630 + 2.27327i) q^{4} +(0.809017 - 0.587785i) q^{5} +(3.24278 - 2.35601i) q^{6} +(-0.947813 - 2.91707i) q^{7} +(-0.252684 + 0.777682i) q^{8} +(-0.533593 - 0.387678i) q^{9} +2.09529 q^{10} +4.57255 q^{12} +(-2.46735 - 1.79264i) q^{13} +(1.98595 - 6.11211i) q^{14} +(-0.591149 - 1.81937i) q^{15} +(2.48141 - 1.80285i) q^{16} +(0.375259 - 0.272641i) q^{17} +(-0.427051 - 1.31433i) q^{18} +(-2.43988 + 7.50919i) q^{19} +(1.93376 + 1.40496i) q^{20} -5.86752 q^{21} -1.39026 q^{23} +(1.26552 + 0.919451i) q^{24} +(0.309017 - 0.951057i) q^{25} +(-1.97470 - 6.07750i) q^{26} +(3.62218 - 2.63167i) q^{27} +(5.93120 - 4.30927i) q^{28} +(1.15004 + 3.53947i) q^{29} +(1.23863 - 3.81211i) q^{30} +(8.47564 + 6.15791i) q^{31} +8.06206 q^{32} +0.971892 q^{34} +(-2.48141 - 1.80285i) q^{35} +(0.487169 - 1.49935i) q^{36} +(0.569992 + 1.75425i) q^{37} +(-13.3841 + 9.72412i) q^{38} +(-4.72004 + 3.42931i) q^{39} +(0.252684 + 0.777682i) q^{40} +(-1.36203 + 4.19190i) q^{41} +(-9.94619 - 7.22633i) q^{42} -1.31478 q^{43} -0.659557 q^{45} +(-2.35666 - 1.71222i) q^{46} +(-0.920927 + 2.83432i) q^{47} +(-1.81316 - 5.58034i) q^{48} +(-1.94781 + 1.41517i) q^{49} +(1.69513 - 1.23158i) q^{50} +(-0.274201 - 0.843905i) q^{51} +(2.25268 - 6.93305i) q^{52} +(-3.38828 - 2.46173i) q^{53} +9.38118 q^{54} +2.50805 q^{56} +(12.2196 + 8.87809i) q^{57} +(-2.40968 + 7.41623i) q^{58} +(0.869890 + 2.67725i) q^{59} +(3.69927 - 2.68768i) q^{60} +(1.63209 - 1.18578i) q^{61} +(6.78332 + 20.8769i) q^{62} +(-0.625136 + 1.92397i) q^{63} +(8.70342 + 6.32340i) q^{64} -3.04981 q^{65} -6.75753 q^{67} +(0.896964 + 0.651683i) q^{68} +(-0.821848 + 2.52939i) q^{69} +(-1.98595 - 6.11211i) q^{70} +(5.27637 - 3.83351i) q^{71} +(0.436320 - 0.317005i) q^{72} +(-3.05179 - 9.39245i) q^{73} +(-1.19430 + 3.67568i) q^{74} +(-1.54765 - 1.12443i) q^{75} -18.8726 q^{76} -12.2245 q^{78} +(9.35051 + 6.79354i) q^{79} +(0.947813 - 2.91707i) q^{80} +(-3.25817 - 10.0276i) q^{81} +(-7.47150 + 5.42836i) q^{82} +(-7.21531 + 5.24223i) q^{83} +(-4.33392 - 13.3384i) q^{84} +(0.143336 - 0.441143i) q^{85} +(-2.22872 - 1.61926i) q^{86} +7.11945 q^{87} -6.76978 q^{89} +(-1.11803 - 0.812299i) q^{90} +(-2.89065 + 8.89651i) q^{91} +(-1.02689 - 3.16043i) q^{92} +(16.2139 - 11.7801i) q^{93} +(-5.05179 + 3.67034i) q^{94} +(2.43988 + 7.50919i) q^{95} +(4.76588 - 14.6679i) q^{96} +(-12.4219 - 9.02506i) q^{97} -5.04469 q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 3 q^{2} + 5 q^{3} + 3 q^{4} + 2 q^{5} + 8 q^{6} + 4 q^{7} - q^{8} + 5 q^{9}+O(q^{10}) $ 8 * q + 3 * q^2 + 5 * q^3 + 3 * q^4 + 2 * q^5 + 8 * q^6 + 4 * q^7 - q^8 + 5 * q^9	$ 8 q + 3 q^{2} + 5 q^{3} + 3 q^{4} + 2 q^{5} + 8 q^{6} + 4 q^{7} - q^{8} + 5 q^{9} + 2 q^{10} + 16 q^{12} + 3 q^{13} + 14 q^{14} - 5 q^{15} - q^{16} + 12 q^{17} + 10 q^{18} + 5 q^{19} + 2 q^{20} - 20 q^{21} + 10 q^{23} - 2 q^{24} - 2 q^{25} + 5 q^{26} + 5 q^{27} + 19 q^{28} + 21 q^{29} + 7 q^{30} + 15 q^{31} + 16 q^{32} + 4 q^{34} + q^{35} + 15 q^{36} - 31 q^{37} - 20 q^{38} - 14 q^{39} + q^{40} + 3 q^{41} - 21 q^{42} - 38 q^{43} - 7 q^{46} - 5 q^{47} + 5 q^{48} - 4 q^{49} + 3 q^{50} + 6 q^{51} + 17 q^{52} - 2 q^{53} + 16 q^{54} + 22 q^{56} + 40 q^{57} + 2 q^{58} + 18 q^{59} + 4 q^{60} + 6 q^{61} - 5 q^{62} - 30 q^{63} + 29 q^{64} + 2 q^{65} - 38 q^{67} - 14 q^{68} + 9 q^{69} - 14 q^{70} + 15 q^{71} + 5 q^{72} - 2 q^{73} - 20 q^{74} - 5 q^{75} - 16 q^{78} - 3 q^{79} - 4 q^{80} - 12 q^{81} - 22 q^{82} - 38 q^{83} - 17 q^{84} + 13 q^{85} + 2 q^{86} + 38 q^{87} - 16 q^{89} - 36 q^{91} + q^{92} + 40 q^{93} - 18 q^{94} - 5 q^{95} - 17 q^{96} - 56 q^{97} + 16 q^{98}+O(q^{100}) $ 8 * q + 3 * q^2 + 5 * q^3 + 3 * q^4 + 2 * q^5 + 8 * q^6 + 4 * q^7 - q^8 + 5 * q^9 + 2 * q^10 + 16 * q^12 + 3 * q^13 + 14 * q^14 - 5 * q^15 - q^16 + 12 * q^17 + 10 * q^18 + 5 * q^19 + 2 * q^20 - 20 * q^21 + 10 * q^23 - 2 * q^24 - 2 * q^25 + 5 * q^26 + 5 * q^27 + 19 * q^28 + 21 * q^29 + 7 * q^30 + 15 * q^31 + 16 * q^32 + 4 * q^34 + q^35 + 15 * q^36 - 31 * q^37 - 20 * q^38 - 14 * q^39 + q^40 + 3 * q^41 - 21 * q^42 - 38 * q^43 - 7 * q^46 - 5 * q^47 + 5 * q^48 - 4 * q^49 + 3 * q^50 + 6 * q^51 + 17 * q^52 - 2 * q^53 + 16 * q^54 + 22 * q^56 + 40 * q^57 + 2 * q^58 + 18 * q^59 + 4 * q^60 + 6 * q^61 - 5 * q^62 - 30 * q^63 + 29 * q^64 + 2 * q^65 - 38 * q^67 - 14 * q^68 + 9 * q^69 - 14 * q^70 + 15 * q^71 + 5 * q^72 - 2 * q^73 - 20 * q^74 - 5 * q^75 - 16 * q^78 - 3 * q^79 - 4 * q^80 - 12 * q^81 - 22 * q^82 - 38 * q^83 - 17 * q^84 + 13 * q^85 + 2 * q^86 + 38 * q^87 - 16 * q^89 - 36 * q^91 + q^92 + 40 * q^93 - 18 * q^94 - 5 * q^95 - 17 * q^96 - 56 * q^97 + 16 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{1}{5}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.69513	+	1.23158i	1.19864	+	0.870861i	0.994150	−	0.108009i	$-0.0344474\pi$
$2$	1.69513	+	1.23158i	1.19864	+	0.870861i	0.204487	+	0.978869i	$0.434447\pi$
$3$	0.591149	−	1.81937i	0.341300	−	1.05041i	−0.622235	−	0.782830i	$-0.713775\pi$
$3$	0.591149	−	1.81937i	0.341300	−	1.05041i	0.963535	−	0.267582i	$-0.0862247\pi$
$4$	0.738630	+	2.27327i	0.369315	+	1.13663i
$5$	0.809017	−	0.587785i	0.361803	−	0.262866i
$5$	0.809017	−	0.587785i	0.361803	−	0.262866i
$6$	3.24278	−	2.35601i	1.32386	−	0.961839i
$7$	−0.947813	−	2.91707i	−0.358239	−	1.10255i	−0.954107	−	0.299465i	$-0.903192\pi$
$7$	−0.947813	−	2.91707i	−0.358239	−	1.10255i	0.595868	−	0.803083i	$-0.296808\pi$
$8$	−0.252684	+	0.777682i	−0.0893373	+	0.274952i
$9$	−0.533593	−	0.387678i	−0.177864	−	0.129226i
$10$	2.09529			0.662590
$11$		0			0
$11$		0			0
$12$	4.57255			1.31998
$13$	−2.46735	−	1.79264i	−0.684320	−	0.497188i	0.190468	−	0.981693i	$-0.438999\pi$
$13$	−2.46735	−	1.79264i	−0.684320	−	0.497188i	−0.874788	+	0.484506i	$0.838999\pi$
$14$	1.98595	−	6.11211i	0.530766	−	1.63353i
$15$	−0.591149	−	1.81937i	−0.152634	−	0.469759i
$16$	2.48141	−	1.80285i	0.620351	−	0.450712i
$17$	0.375259	−	0.272641i	0.0910136	−	0.0661252i	−0.541348	−	0.840799i	$-0.682086\pi$
$17$	0.375259	−	0.272641i	0.0910136	−	0.0661252i	0.632361	+	0.774674i	$0.282086\pi$
$18$	−0.427051	−	1.31433i	−0.100657	−	0.309790i
$19$	−2.43988	+	7.50919i	−0.559747	+	1.72273i	0.123317	+	0.992367i	$0.460647\pi$
$19$	−2.43988	+	7.50919i	−0.559747	+	1.72273i	−0.683065	+	0.730358i	$0.739353\pi$
$20$	1.93376	+	1.40496i	0.432402	+	0.314158i
$21$	−5.86752			−1.28040
$22$		0			0
$23$	−1.39026			−0.289889			−0.144944	−	0.989440i	$-0.546300\pi$
$23$	−1.39026			−0.289889			−0.144944	+	0.989440i	$0.546300\pi$
$24$	1.26552	+	0.919451i	0.258322	+	0.187682i
$25$	0.309017	−	0.951057i	0.0618034	−	0.190211i
$26$	−1.97470	−	6.07750i	−0.387270	−	1.19189i
$27$	3.62218	−	2.63167i	0.697089	−	0.506465i
$28$	5.93120	−	4.30927i	1.12089	−	0.814375i
$29$	1.15004	+	3.53947i	0.213558	+	0.657263i	0.999253	+	0.0386491i	$0.0123055\pi$
$29$	1.15004	+	3.53947i	0.213558	+	0.657263i	−0.785695	+	0.618614i	$0.787695\pi$
$30$	1.23863	−	3.81211i	0.226142	−	0.695993i
$31$	8.47564	+	6.15791i	1.52227	+	1.10599i	0.960348	+	0.278804i	$0.0899380\pi$
$31$	8.47564	+	6.15791i	1.52227	+	1.10599i	0.561922	+	0.827190i	$0.310062\pi$
$32$	8.06206			1.42518
$33$		0			0
$34$	0.971892			0.166678
$35$	−2.48141	−	1.80285i	−0.419434	−	0.304737i
$36$	0.487169	−	1.49935i	0.0811948	−	0.249892i
$37$	0.569992	+	1.75425i	0.0937061	+	0.288398i	0.986914	−	0.161246i	$-0.0515511\pi$
$37$	0.569992	+	1.75425i	0.0937061	+	0.288398i	−0.893208	+	0.449643i	$0.851551\pi$
$38$	−13.3841	+	9.72412i	−2.17119	+	1.57746i
$39$	−4.72004	+	3.42931i	−0.755811	+	0.549129i
$40$	0.252684	+	0.777682i	0.0399529	+	0.122962i
$41$	−1.36203	+	4.19190i	−0.212714	+	0.654665i	0.786594	+	0.617470i	$0.211842\pi$
$41$	−1.36203	+	4.19190i	−0.212714	+	0.654665i	−0.999308	+	0.0371953i	$0.988158\pi$
$42$	−9.94619	−	7.22633i	−1.53473	−	1.11505i
$43$	−1.31478			−0.200502			−0.100251	−	0.994962i	$-0.531965\pi$
$43$	−1.31478			−0.200502			−0.100251	+	0.994962i	$0.531965\pi$
$44$		0			0
$45$	−0.659557			−0.0983210
$46$	−2.35666	−	1.71222i	−0.347471	−	0.252453i
$47$	−0.920927	+	2.83432i	−0.134331	+	0.413428i	−0.995485	−	0.0949152i	$-0.969742\pi$
$47$	−0.920927	+	2.83432i	−0.134331	+	0.413428i	0.861154	+	0.508344i	$0.169742\pi$
$48$	−1.81316	−	5.58034i	−0.261707	−	0.805453i
$49$	−1.94781	+	1.41517i	−0.278259	+	0.202167i
$50$	1.69513	−	1.23158i	0.239727	−	0.174172i
$51$	−0.274201	−	0.843905i	−0.0383959	−	0.118170i
$52$	2.25268	−	6.93305i	0.312391	−	0.961441i
$53$	−3.38828	−	2.46173i	−0.465416	−	0.338144i	0.330236	−	0.943898i	$-0.392872\pi$
$53$	−3.38828	−	2.46173i	−0.465416	−	0.338144i	−0.795652	+	0.605754i	$0.792872\pi$
$54$	9.38118			1.27662
$55$		0			0
$56$	2.50805			0.335152
$57$	12.2196	+	8.87809i	1.61853	+	1.17593i
$58$	−2.40968	+	7.41623i	−0.316406	+	0.973799i
$59$	0.869890	+	2.67725i	0.113250	+	0.348548i	0.991578	−	0.129511i	$-0.0413407\pi$
$59$	0.869890	+	2.67725i	0.113250	+	0.348548i	−0.878328	+	0.478059i	$0.841341\pi$
$60$	3.69927	−	2.68768i	0.477574	−	0.346978i
$61$	1.63209	−	1.18578i	0.208967	−	0.151824i	−0.478379	−	0.878154i	$-0.658775\pi$
$61$	1.63209	−	1.18578i	0.208967	−	0.151824i	0.687346	+	0.726330i	$0.258775\pi$
$62$	6.78332	+	20.8769i	0.861482	+	2.65137i
$63$	−0.625136	+	1.92397i	−0.0787598	+	0.242398i
$64$	8.70342	+	6.32340i	1.08793	+	0.790426i
$65$	−3.04981			−0.378283
$66$		0			0
$67$	−6.75753			−0.825564			−0.412782	−	0.910830i	$-0.635443\pi$
$67$	−6.75753			−0.825564			−0.412782	+	0.910830i	$0.635443\pi$
$68$	0.896964	+	0.651683i	0.108773	+	0.0790281i
$69$	−0.821848	+	2.52939i	−0.0989389	+	0.304503i
$70$	−1.98595	−	6.11211i	−0.237366	−	0.730537i
$71$	5.27637	−	3.83351i	0.626190	−	0.454953i	−0.228888	−	0.973453i	$-0.573509\pi$
$71$	5.27637	−	3.83351i	0.626190	−	0.454953i	0.855078	+	0.518499i	$0.173509\pi$
$72$	0.436320	−	0.317005i	0.0514209	−	0.0373594i
$73$	−3.05179	−	9.39245i	−0.357185	−	1.09930i	−0.954732	−	0.297469i	$-0.903858\pi$
$73$	−3.05179	−	9.39245i	−0.357185	−	1.09930i	0.597546	−	0.801834i	$-0.296142\pi$
$74$	−1.19430	+	3.67568i	−0.138835	+	0.427289i
$75$	−1.54765	−	1.12443i	−0.178707	−	0.129838i
$76$	−18.8726			−2.16483
$77$		0			0
$78$	−12.2245			−1.38416
$79$	9.35051	+	6.79354i	1.05201	+	0.764333i	0.972594	−	0.232508i	$-0.0746933\pi$
$79$	9.35051	+	6.79354i	1.05201	+	0.764333i	0.0794197	+	0.996841i	$0.474693\pi$
$80$	0.947813	−	2.91707i	0.105969	−	0.326138i
$81$	−3.25817	−	10.0276i	−0.362019	−	1.11418i
$82$	−7.47150	+	5.42836i	−0.825089	+	0.599462i
$83$	−7.21531	+	5.24223i	−0.791983	+	0.575409i	−0.908551	−	0.417773i	$-0.862811\pi$
$83$	−7.21531	+	5.24223i	−0.791983	+	0.575409i	0.116568	+	0.993183i	$0.462811\pi$
$84$	−4.33392	−	13.3384i	−0.472870	−	1.45534i
$85$	0.143336	−	0.441143i	0.0155470	−	0.0478487i
$86$	−2.22872	−	1.61926i	−0.240329	−	0.174609i
$87$	7.11945			0.763285
$88$		0			0
$89$	−6.76978			−0.717595			−0.358797	−	0.933415i	$-0.616813\pi$
$89$	−6.76978			−0.717595			−0.358797	+	0.933415i	$0.616813\pi$
$90$	−1.11803	−	0.812299i	−0.117851	−	0.0856239i
$91$	−2.89065	+	8.89651i	−0.303023	+	0.932608i
$92$	−1.02689	−	3.16043i	−0.107060	−	0.329497i
$93$	16.2139	−	11.7801i	1.68130	−	1.22154i
$94$	−5.05179	+	3.67034i	−0.521053	+	0.378567i
$95$	2.43988	+	7.50919i	0.250327	+	0.770426i
$96$	4.76588	−	14.6679i	0.486415	−	1.49703i
$97$	−12.4219	−	9.02506i	−1.26126	−	0.916356i	−0.262437	−	0.964949i	$-0.584526\pi$
$97$	−12.4219	−	9.02506i	−1.26126	−	0.916356i	−0.998819	+	0.0485933i	$0.984526\pi$
$98$	−5.04469			−0.509591
$99$		0			0
$100$	2.39026			0.239026
$101$	−9.49186	−	6.89624i	−0.944476	−	0.686202i	0.00501815	−	0.999987i	$-0.498403\pi$
$101$	−9.49186	−	6.89624i	−0.944476	−	0.686202i	−0.949494	+	0.313786i	$0.898403\pi$
$102$	0.574532	−	1.76823i	0.0568872	−	0.175081i
$103$	4.29165	+	13.2083i	0.422868	+	1.30146i	0.905021	+	0.425368i	$0.139855\pi$
$103$	4.29165	+	13.2083i	0.422868	+	1.30146i	−0.482152	+	0.876087i	$0.660145\pi$
$104$	2.01756	−	1.46584i	0.197838	−	0.143738i
$105$	−4.74692	+	3.44884i	−0.463252	+	0.336572i
$106$	−2.71174	−	8.34589i	−0.263388	−	0.810625i
$107$	−2.26231	+	6.96269i	−0.218706	+	0.673108i	0.780164	+	0.625576i	$0.215136\pi$
$107$	−2.26231	+	6.96269i	−0.218706	+	0.673108i	−0.998870	+	0.0475327i	$0.984864\pi$
$108$	8.65794	+	6.29036i	0.833111	+	0.605290i
$109$	−7.43306			−0.711958			−0.355979	−	0.934494i	$-0.615853\pi$
$109$	−7.43306			−0.711958			−0.355979	+	0.934494i	$0.615853\pi$
$110$		0			0
$111$	3.52859			0.334919
$112$	−7.61093	−	5.52967i	−0.719165	−	0.522504i
$113$	−0.938299	+	2.88779i	−0.0882677	+	0.271660i	−0.985441	−	0.170019i	$-0.945617\pi$
$113$	−0.938299	+	2.88779i	−0.0882677	+	0.271660i	0.897173	+	0.441679i	$0.145617\pi$
$114$	9.77976	+	30.0990i	0.915958	+	2.81903i
$115$	−1.12474	+	0.817172i	−0.104883	+	0.0762017i
$116$	−7.19671	+	5.22872i	−0.668198	+	0.485474i
$117$	0.621596	+	1.91308i	0.0574666	+	0.176864i
$118$	−1.82268	+	5.60962i	−0.167791	+	0.516407i
$119$	−1.15099	−	0.836242i	−0.105511	−	0.0766581i
$120$	1.56426			0.142797
$121$		0			0
$122$	4.22699			0.382693
$123$	6.82145	+	4.95608i	0.615070	+	0.446874i
$124$	−7.73823	+	23.8158i	−0.694914	+	2.13873i
$125$	−0.309017	−	0.951057i	−0.0276393	−	0.0850651i
$126$	−3.42922	+	2.49147i	−0.305499	+	0.221958i
$127$	0.365350	−	0.265442i	0.0324196	−	0.0235542i	−0.571457	−	0.820632i	$-0.693622\pi$
$127$	0.365350	−	0.265442i	0.0324196	−	0.0235542i	0.603877	+	0.797077i	$0.293622\pi$
$128$	1.98299	+	6.10301i	0.175273	+	0.539435i
$129$	−0.777230	+	2.39207i	−0.0684313	+	0.210610i
$130$	−5.16983	−	3.75610i	−0.453424	−	0.329432i
$131$	0.629003			0.0549563			0.0274781	−	0.999622i	$-0.491252\pi$
$131$	0.629003			0.0549563			0.0274781	+	0.999622i	$0.491252\pi$
$132$		0			0
$133$	24.2173			2.09991
$134$	−11.4549	−	8.32246i	−0.989551	−	0.718951i
$135$	1.38355	−	4.25813i	0.119077	−	0.366481i
$136$	0.117206	+	0.360724i	0.0100504	+	0.0309318i
$137$	−9.04756	+	6.57343i	−0.772985	+	0.561606i	−0.902865	−	0.429923i	$-0.858541\pi$
$137$	−9.04756	+	6.57343i	−0.772985	+	0.561606i	0.129880	+	0.991530i	$0.458541\pi$
$138$	−4.50829	+	3.27547i	−0.383771	+	0.278826i
$139$	−0.733901	−	2.25872i	−0.0622487	−	0.191582i	0.915096	−	0.403236i	$-0.132115\pi$
$139$	−0.733901	−	2.25872i	−0.0622487	−	0.191582i	−0.977345	+	0.211655i	$0.932115\pi$
$140$	2.26552	−	6.97254i	0.191471	−	0.589287i
$141$	4.61227	+	3.35101i	0.388423	+	0.282206i
$142$	13.6654			1.14678
$143$		0			0
$144$	−2.02298			−0.168582
$145$	3.01085	+	2.18751i	0.250038	+	0.181663i
$146$	6.39440	−	19.6799i	0.529205	−	1.62872i
$147$	1.42327	+	4.38036i	0.117389	+	0.361286i
$148$	−3.56688	+	2.59149i	−0.293196	+	0.213019i
$149$	7.05490	−	5.12569i	0.577960	−	0.419913i	−0.260028	−	0.965601i	$-0.583732\pi$
$149$	7.05490	−	5.12569i	0.577960	−	0.419913i	0.837988	+	0.545688i	$0.183732\pi$
$150$	−1.23863	−	3.81211i	−0.101134	−	0.311258i
$151$	3.68825	−	11.3513i	0.300145	−	0.923753i	−0.681299	−	0.732005i	$-0.738585\pi$
$151$	3.68825	−	11.3513i	0.300145	−	0.923753i	0.981444	−	0.191747i	$-0.0614154\pi$
$152$	−5.22324	−	3.79490i	−0.423660	−	0.307807i
$153$	−0.305932			−0.0247332
$154$		0			0
$155$	10.4765			0.841490
$156$	−11.2821	−	8.19692i	−0.903291	−	0.656279i
$157$	1.19754	−	3.68565i	0.0955741	−	0.294147i	−0.891829	−	0.452373i	$-0.850578\pi$
$157$	1.19754	−	3.68565i	0.0955741	−	0.294147i	0.987403	+	0.158226i	$0.0505776\pi$
$158$	7.48350	+	23.0318i	0.595355	+	1.83232i
$159$	−6.48177	+	4.70928i	−0.514037	+	0.373470i
$160$	6.52234	−	4.73876i	0.515637	−	0.374632i
$161$	1.31770	+	4.05547i	0.103850	+	0.319616i
$162$	6.82682	−	21.0108i	0.536366	−	1.65076i
$163$	8.03857	+	5.84036i	0.629629	+	0.457452i	0.856272	−	0.516526i	$-0.172775\pi$
$163$	8.03857	+	5.84036i	0.629629	+	0.457452i	−0.226643	+	0.973978i	$0.572775\pi$
$164$	−10.5354			−0.822674
$165$		0			0
$166$	−18.6871			−1.45040
$167$	−11.2615	−	8.18198i	−0.871443	−	0.633140i	0.0595308	−	0.998226i	$-0.481040\pi$
$167$	−11.2615	−	8.18198i	−0.871443	−	0.633140i	−0.930974	+	0.365086i	$0.881040\pi$
$168$	1.48263	−	4.56306i	0.114387	−	0.352048i
$169$	−1.14294	−	3.51761i	−0.0879185	−	0.270585i
$170$	0.786277	−	0.571264i	0.0603047	−	0.0438139i
$171$	4.21305	−	3.06096i	0.322180	−	0.234077i
$172$	−0.971136	−	2.98885i	−0.0740484	−	0.227898i
$173$	3.34700	−	10.3010i	0.254468	−	0.783171i	−0.739466	−	0.673193i	$-0.764922\pi$
$173$	3.34700	−	10.3010i	0.254468	−	0.783171i	0.993934	−	0.109977i	$-0.0350779\pi$
$174$	12.0684	+	8.76819i	0.914901	+	0.664715i
$175$	−3.06719			−0.231857
$176$		0			0
$177$	5.38513			0.404771
$178$	−11.4756	−	8.33754i	−0.860136	−	0.624925i
$179$	7.02502	−	21.6208i	0.525075	−	1.61601i	−0.239093	−	0.970997i	$-0.576850\pi$
$179$	7.02502	−	21.6208i	0.525075	−	1.61601i	0.764168	−	0.645018i	$-0.223150\pi$
$180$	−0.487169	−	1.49935i	−0.0363114	−	0.111755i
$181$	−1.94028	+	1.40969i	−0.144220	+	0.104782i	−0.657556	−	0.753406i	$-0.728410\pi$
$181$	−1.94028	+	1.40969i	−0.144220	+	0.104782i	0.513336	+	0.858188i	$0.328410\pi$
$182$	−15.8568	+	11.5207i	−1.17539	+	0.853968i
$183$	−1.19257	−	3.67034i	−0.0881570	−	0.271319i
$184$	0.351296	−	1.08118i	0.0258979	−	0.0797054i
$185$	1.49226	+	1.08419i	0.109713	+	0.0797112i
$186$	41.9927			3.07906
$187$		0			0
$188$	−7.12340			−0.519527
$189$	−11.1099	−	8.07181i	−0.808126	−	0.587138i
$190$	−5.11227	+	15.7340i	−0.370883	+	1.14146i
$191$	5.32938	+	16.4022i	0.385621	+	1.18682i	0.936029	+	0.351923i	$0.114472\pi$
$191$	5.32938	+	16.4022i	0.385621	+	1.18682i	−0.550408	+	0.834896i	$0.685528\pi$
$192$	16.6496	−	12.0967i	1.20158	−	0.873001i
$193$	2.09190	−	1.51986i	0.150579	−	0.109402i	−0.509945	−	0.860207i	$-0.670334\pi$
$193$	2.09190	−	1.51986i	0.150579	−	0.109402i	0.660524	+	0.750805i	$0.270334\pi$
$194$	−9.94165	−	30.5973i	−0.713769	−	2.19676i
$195$	−1.80289	+	5.54873i	−0.129108	+	0.397353i
$196$	−4.65577	−	3.38262i	−0.332555	−	0.241615i
$197$	0.144731			0.0103116			0.00515582	−	0.999987i	$-0.498359\pi$
$197$	0.144731			0.0103116			0.00515582	+	0.999987i	$0.498359\pi$
$198$		0			0
$199$	−7.54177			−0.534622			−0.267311	−	0.963610i	$-0.586135\pi$
$199$	−7.54177			−0.534622			−0.267311	+	0.963610i	$0.586135\pi$
$200$	0.661536	+	0.480634i	0.0467776	+	0.0339859i
$201$	−3.99470	+	12.2944i	−0.281765	+	0.867183i
$202$	−7.59663	−	23.3800i	−0.534497	−	1.64501i
$203$	9.23485	−	6.70951i	0.648159	−	0.470915i
$204$	1.71589	−	1.24667i	0.120136	−	0.0872842i
$205$	1.36203	+	4.19190i	0.0951285	+	0.292775i
$206$	−8.99226	+	27.6753i	−0.626520	+	1.92823i
$207$	0.741831	+	0.538972i	0.0515608	+	0.0374611i
$208$	−9.35435			−0.648607
$209$		0			0
$210$	−12.2942			−0.848379
$211$	1.83551	+	1.33357i	0.126362	+	0.0918070i	0.649171	−	0.760643i	$-0.275116\pi$
$211$	1.83551	+	1.33357i	0.126362	+	0.0918070i	−0.522809	+	0.852450i	$0.675116\pi$
$212$	3.09349	−	9.52078i	0.212462	−	0.653890i
$213$	−3.85544	−	11.8658i	−0.264170	−	0.813033i
$214$	−12.4100	+	9.01642i	−0.848333	+	0.616350i
$215$	−1.06368	+	0.772808i	−0.0725423	+	0.0527051i
$216$	1.13133	+	3.48188i	0.0769774	+	0.236912i
$217$	9.92973	−	30.5606i	0.674074	−	2.07459i
$218$	−12.6000	−	9.15443i	−0.853379	−	0.620016i
$219$	−18.8924			−1.27663
$220$		0			0
$221$	−1.41464			−0.0951591
$222$	5.98141	+	4.34575i	0.401446	+	0.291667i
$223$	2.65127	−	8.15976i	0.177542	−	0.546418i	−0.822199	−	0.569201i	$-0.807253\pi$
$223$	2.65127	−	8.15976i	0.177542	−	0.546418i	0.999740	+	0.0227830i	$0.00725268\pi$
$224$	−7.64132	−	23.5176i	−0.510557	−	1.57133i
$225$	−0.533593	+	0.387678i	−0.0355729	+	0.0258452i
$226$	−5.14709	+	3.73958i	−0.342379	+	0.248753i
$227$	1.91603	+	5.89692i	0.127171	+	0.391392i	0.994290	−	0.106708i	$-0.0340310\pi$
$227$	1.91603	+	5.89692i	0.127171	+	0.391392i	−0.867119	+	0.498101i	$0.834031\pi$
$228$	−11.1565	+	34.3362i	−0.738857	+	2.27397i
$229$	−18.7416	−	13.6166i	−1.23848	−	0.899808i	−0.240983	−	0.970529i	$-0.577470\pi$
$229$	−18.7416	−	13.6166i	−1.23848	−	0.899808i	−0.997496	+	0.0707216i	$0.977470\pi$
$230$	−2.91300			−0.192077
$231$		0			0
$232$	−3.04318			−0.199794
$233$	22.5414	+	16.3773i	1.47674	+	1.07291i	0.978590	+	0.205818i	$0.0659856\pi$
$233$	22.5414	+	16.3773i	1.47674	+	1.07291i	0.498146	+	0.867093i	$0.334014\pi$
$234$	−1.30243	+	4.00846i	−0.0851423	+	0.262041i
$235$	0.920927	+	2.83432i	0.0600747	+	0.184891i
$236$	−5.44358	+	3.95499i	−0.354347	+	0.257448i
$237$	17.8875	−	12.9960i	1.16192	−	0.844182i
$238$	−0.921171	−	2.83507i	−0.0597107	−	0.183771i
$239$	−5.03272	+	15.4891i	−0.325540	+	1.00191i	0.645657	+	0.763628i	$0.276584\pi$
$239$	−5.03272	+	15.4891i	−0.325540	+	1.00191i	−0.971196	+	0.238280i	$0.923416\pi$
$240$	−4.74692	−	3.44884i	−0.306412	−	0.222622i
$241$	4.39063			0.282826			0.141413	−	0.989951i	$-0.454836\pi$
$241$	4.39063			0.282826			0.141413	+	0.989951i	$0.454836\pi$
$242$		0			0
$243$	−6.73820			−0.432256
$244$	3.90111	+	2.83432i	0.249743	+	0.181449i
$245$	−0.743998	+	2.28979i	−0.0475323	+	0.146289i
$246$	5.45942	+	16.8024i	0.348080	+	1.07128i
$247$	19.4813	−	14.1540i	1.23956	−	0.900596i
$248$	−6.93056	+	5.03534i	−0.440091	+	0.319745i
$249$	5.27222	+	16.2262i	0.334114	+	1.02830i
$250$	0.647481	−	1.99274i	0.0409503	−	0.126032i
$251$	2.15739	+	1.56744i	0.136173	+	0.0989357i	0.653787	−	0.756679i	$-0.273179\pi$
$251$	2.15739	+	1.56744i	0.136173	+	0.0989357i	−0.517613	+	0.855615i	$0.673179\pi$
$252$	−4.83545			−0.304605
$253$		0			0
$254$	0.946229			0.0593717
$255$	−0.717868	−	0.521562i	−0.0449547	−	0.0326615i
$256$	2.49388	−	7.67536i	0.155867	−	0.479710i
$257$	−6.68486	−	20.5739i	−0.416990	−	1.28336i	−0.910459	−	0.413600i	$-0.864271\pi$
$257$	−6.68486	−	20.5739i	−0.416990	−	1.28336i	0.493469	−	0.869764i	$-0.335729\pi$
$258$	−4.26354	+	3.09764i	−0.265436	+	0.192851i
$259$	4.57703	−	3.32541i	0.284403	−	0.206631i
$260$	−2.25268	−	6.93305i	−0.139706	−	0.429969i
$261$	0.758519	−	2.33448i	0.0469512	−	0.144501i
$262$	1.06624	+	0.774670i	0.0658726	+	0.0478593i
$263$	22.1392			1.36516			0.682581	−	0.730810i	$-0.260858\pi$
$263$	22.1392			1.36516			0.682581	+	0.730810i	$0.260858\pi$
$264$		0			0
$265$	−4.18814			−0.257276
$266$	41.0515	+	29.8257i	2.51703	+	1.82873i
$267$	−4.00194	+	12.3167i	−0.244915	+	0.753771i
$268$	−4.99131	−	15.3617i	−0.304893	−	0.938364i
$269$	−16.7615	+	12.1780i	−1.02197	+	0.742503i	−0.966685	−	0.255967i	$-0.917606\pi$
$269$	−16.7615	+	12.1780i	−1.02197	+	0.742503i	−0.0552828	+	0.998471i	$0.517606\pi$
$270$	7.58953	−	5.51412i	0.461884	−	0.335578i
$271$	−0.130749	−	0.402403i	−0.00794242	−	0.0244443i	0.947007	−	0.321214i	$-0.104091\pi$
$271$	−0.130749	−	0.402403i	−0.00794242	−	0.0244443i	−0.954949	+	0.296769i	$0.904091\pi$
$272$	0.439638	−	1.35307i	0.0266570	−	0.0820417i
$273$	14.4772	+	10.5183i	0.876202	+	0.636598i
$274$	−23.4325			−1.41561
$275$		0			0
$276$	−6.35702			−0.382648
$277$	6.93534	+	5.03882i	0.416704	+	0.302753i	0.776310	−	0.630351i	$-0.217089\pi$
$277$	6.93534	+	5.03882i	0.416704	+	0.302753i	−0.359606	+	0.933104i	$0.617089\pi$
$278$	1.53774	−	4.73267i	0.0922274	−	0.283847i
$279$	−2.13525	−	6.57164i	−0.127834	−	0.393434i
$280$	2.02905	−	1.47419i	0.121259	−	0.0880999i
$281$	5.67208	−	4.12101i	0.338368	−	0.245839i	−0.405605	−	0.914049i	$-0.632939\pi$
$281$	5.67208	−	4.12101i	0.338368	−	0.245839i	0.743973	+	0.668210i	$0.232939\pi$
$282$	3.69134	+	11.3608i	0.219816	+	0.676525i
$283$	3.07570	−	9.46603i	0.182831	−	0.562697i	−0.817073	−	0.576534i	$-0.804405\pi$
$283$	3.07570	−	9.46603i	0.182831	−	0.562697i	0.999904	+	0.0138373i	$0.00440469\pi$
$284$	12.6119	+	9.16306i	0.748377	+	0.543728i
$285$	15.1043			0.894702
$286$		0			0
$287$	13.5190			0.798002
$288$	−4.30186	−	3.12548i	−0.253489	−	0.184171i
$289$	−5.18680	+	15.9633i	−0.305106	+	0.939020i
$290$	2.40968	+	7.41623i	0.141501	+	0.435496i
$291$	−23.7631	+	17.2649i	−1.39302	+	1.01209i
$292$	19.0974	−	13.8751i	1.11759	−	0.811978i
$293$	6.74302	+	20.7529i	0.393931	+	1.21240i	0.929791	+	0.368089i	$0.119988\pi$
$293$	6.74302	+	20.7529i	0.393931	+	1.21240i	−0.535859	+	0.844307i	$0.680012\pi$
$294$	−2.98216	+	9.17815i	−0.173923	+	0.535280i
$295$	2.27740	+	1.65463i	0.132596	+	0.0963363i
$296$	−1.50828			−0.0876670
$297$		0			0
$298$	18.2717			1.05845
$299$	3.43025	+	2.49222i	0.198377	+	0.144129i
$300$	1.41300	−	4.34876i	0.0815794	−	0.251076i
$301$	1.24617	+	3.83530i	0.0718278	+	0.221063i
$302$	20.2321	−	14.6995i	1.16423	−	0.845859i
$303$	−18.1579	+	13.1925i	−1.04314	+	0.757889i
$304$	7.48357	+	23.0321i	0.429212	+	1.32098i
$305$	0.623402	−	1.91863i	0.0356959	−	0.109861i
$306$	−0.518595	−	0.376781i	−0.0296461	−	0.0215391i
$307$	−30.8674			−1.76170			−0.880849	−	0.473397i	$-0.843028\pi$
$307$	−30.8674			−1.76170			−0.880849	+	0.473397i	$0.843028\pi$
$308$		0			0
$309$	26.5678			1.51139
$310$	17.7590	+	12.9026i	1.00864	+	0.732821i
$311$	−5.99957	+	18.4648i	−0.340204	+	1.04704i	0.623897	+	0.781507i	$0.285549\pi$
$311$	−5.99957	+	18.4648i	−0.340204	+	1.04704i	−0.964101	+	0.265535i	$0.914451\pi$
$312$	−1.47423	−	4.53722i	−0.0834619	−	0.256869i
$313$	−0.850657	+	0.618038i	−0.0480820	+	0.0349336i	−0.611567	−	0.791193i	$-0.709460\pi$
$313$	−0.850657	+	0.618038i	−0.0480820	+	0.0349336i	0.563485	+	0.826127i	$0.309460\pi$
$314$	6.56916	−	4.77278i	0.370719	−	0.269343i
$315$	0.625136	+	1.92397i	0.0352225	+	0.108404i
$316$	−8.53698	+	26.2741i	−0.480243	+	1.47804i
$317$	19.2800	+	14.0078i	1.08287	+	0.786754i	0.978182	−	0.207750i	$-0.0666142\pi$
$317$	19.2800	+	14.0078i	1.08287	+	0.786754i	0.104692	+	0.994505i	$0.466614\pi$
$318$	−16.7873			−0.941385
$319$		0			0
$320$	10.7580			0.601391
$321$	11.3303	+	8.23196i	0.632397	+	0.459463i
$322$	−2.76097	+	8.49741i	−0.153863	+	0.473542i
$323$	1.13173	+	3.48310i	0.0629710	+	0.193805i
$324$	20.3889	−	14.8134i	1.13272	−	0.822966i
$325$	−2.46735	+	1.79264i	−0.136864	+	0.0994375i
$326$	6.43351	+	19.8003i	0.356319	+	1.09664i
$327$	−4.39404	+	13.5235i	−0.242991	+	0.747850i
$328$	−2.91580	−	2.11845i	−0.160998	−	0.116972i
$329$	9.14077			0.503947
$330$		0			0
$331$	25.6693			1.41091			0.705457	−	0.708753i	$-0.250742\pi$
$331$	25.6693			1.41091			0.705457	+	0.708753i	$0.250742\pi$
$332$	−17.2464	−	12.5303i	−0.946521	−	0.687688i
$333$	0.375942	−	1.15703i	0.0206015	−	0.0634049i
$334$	−9.01295	−	27.7390i	−0.493167	−	1.51781i
$335$	−5.46696	+	3.97198i	−0.298692	+	0.217012i
$336$	−14.5597	+	10.5782i	−0.794296	+	0.577090i
$337$	−7.38308	−	22.7228i	−0.402182	−	1.23779i	−0.923225	−	0.384259i	$-0.874457\pi$
$337$	−7.38308	−	22.7228i	−0.402182	−	1.23779i	0.521043	−	0.853530i	$-0.325543\pi$
$338$	2.39480	−	7.37043i	0.130260	−	0.400898i
$339$	4.69927	+	3.41422i	0.255230	+	0.185435i
$340$	1.10871			0.0601282
$341$		0			0
$342$	10.9115			0.590026
$343$	−11.3955	−	8.27934i	−0.615301	−	0.447042i
$344$	0.332224	−	1.02248i	0.0179123	−	0.0551285i
$345$	0.821848	+	2.52939i	0.0442468	+	0.136178i
$346$	18.3601	−	13.3394i	0.987047	−	0.717132i
$347$	0.268717	−	0.195234i	0.0144255	−	0.0104807i	−0.580549	−	0.814225i	$-0.697162\pi$
$347$	0.268717	−	0.195234i	0.0144255	−	0.0104807i	0.594975	+	0.803744i	$0.297162\pi$
$348$	5.25864	+	16.1844i	0.281892	+	0.867576i
$349$	0.377460	−	1.16170i	0.0202050	−	0.0621845i	−0.940446	−	0.339944i	$-0.889592\pi$
$349$	0.377460	−	1.16170i	0.0202050	−	0.0621845i	0.960651	+	0.277760i	$0.0895919\pi$
$350$	−5.19927	−	3.77749i	−0.277913	−	0.201916i
$351$	−13.6548			−0.728840
$352$		0			0
$353$	−25.7038			−1.36808			−0.684039	−	0.729446i	$-0.739778\pi$
$353$	−25.7038			−1.36808			−0.684039	+	0.729446i	$0.739778\pi$
$354$	9.12849	+	6.63224i	0.485174	+	0.352499i
$355$	2.01539	−	6.20274i	0.106966	−	0.329207i
$356$	−5.00036	−	15.3895i	−0.265019	−	0.815643i
$357$	−2.20184	+	1.59973i	−0.116534	+	0.0846666i
$358$	38.5361	−	27.9981i	2.03670	−	1.47975i
$359$	−5.54113	−	17.0538i	−0.292450	−	0.900067i	−0.984066	−	0.177802i	$-0.943101\pi$
$359$	−5.54113	−	17.0538i	−0.292450	−	0.900067i	0.691617	−	0.722265i	$-0.256899\pi$
$360$	0.166660	−	0.512925i	0.00878373	−	0.0270335i
$361$	−35.0635	−	25.4751i	−1.84545	−	1.34080i
$362$	−5.02517			−0.264117
$363$		0			0
$364$	−22.3593			−1.17195
$365$	−7.98970	−	5.80485i	−0.418200	−	0.303840i
$366$	2.49878	−	7.69045i	0.130613	−	0.401986i
$367$	−2.62383	−	8.07533i	−0.136963	−	0.421529i	0.858927	−	0.512098i	$-0.171131\pi$
$367$	−2.62383	−	8.07533i	−0.136963	−	0.421529i	−0.995890	+	0.0905689i	$0.971131\pi$
$368$	−3.44979	+	2.50642i	−0.179833	+	0.130656i
$369$	2.35188	−	1.70874i	0.122434	−	0.0889535i
$370$	1.19430	+	3.67568i	0.0620887	+	0.191089i
$371$	−3.96957	+	12.2171i	−0.206090	+	0.634280i
$372$	38.7553	+	28.1574i	2.00937	+	1.45989i
$373$	35.8450			1.85598			0.927991	−	0.372604i	$-0.121535\pi$
$373$	35.8450			1.85598			0.927991	+	0.372604i	$0.121535\pi$
$374$		0			0
$375$	−1.91300			−0.0987867
$376$	−1.97150	−	1.43238i	−0.101672	−	0.0738692i
$377$	3.50742	−	10.7947i	0.180641	−	0.555957i
$378$	−8.89160	−	27.3655i	−0.457334	−	1.40753i
$379$	−14.1995	+	10.3166i	−0.729380	+	0.529926i	−0.889367	−	0.457193i	$-0.848855\pi$
$379$	−14.1995	+	10.3166i	−0.729380	+	0.529926i	0.159987	+	0.987119i	$0.448855\pi$
$380$	−15.2682	+	11.0930i	−0.783244	+	0.569060i
$381$	−0.266961	−	0.821622i	−0.0136768	−	0.0420930i
$382$	−11.1666	+	34.3673i	−0.571334	+	1.75839i
$383$	17.4950	+	12.7109i	0.893954	+	0.649496i	0.936906	−	0.349581i	$-0.113676\pi$
$383$	17.4950	+	12.7109i	0.893954	+	0.649496i	−0.0429517	+	0.999077i	$0.513676\pi$
$384$	12.2759			0.626450
$385$		0			0
$386$	5.41788			0.275763
$387$	0.701557	+	0.509711i	0.0356622	+	0.0259101i
$388$	11.3412	−	34.9046i	0.575761	−	1.77201i
$389$	11.0448	+	33.9923i	0.559992	+	1.72348i	0.682381	+	0.730996i	$0.260944\pi$
$389$	11.0448	+	33.9923i	0.559992	+	1.72348i	−0.122389	+	0.992482i	$0.539056\pi$
$390$	−9.88986	+	7.18541i	−0.500793	+	0.363847i
$391$	−0.521706	+	0.379041i	−0.0263838	+	0.0191689i
$392$	−0.608369	−	1.87237i	−0.0307273	−	0.0945689i
$393$	0.371834	−	1.14439i	0.0187566	−	0.0577268i
$394$	0.245337	+	0.178248i	0.0123599	+	0.00898001i
$395$	11.5579			0.581539
$396$		0			0
$397$	−20.0447			−1.00601			−0.503007	−	0.864282i	$-0.667773\pi$
$397$	−20.0447			−1.00601			−0.503007	+	0.864282i	$0.667773\pi$
$398$	−12.7843	−	9.28831i	−0.640817	−	0.465581i
$399$	14.3161	−	44.0603i	0.716699	−	2.20577i
$400$	−0.947813	−	2.91707i	−0.0473906	−	0.145853i
$401$	16.9074	−	12.2839i	0.844315	−	0.613431i	−0.0792579	−	0.996854i	$-0.525255\pi$
$401$	16.9074	−	12.2839i	0.844315	−	0.613431i	0.923573	+	0.383424i	$0.125255\pi$
$402$	−21.9132	+	15.9208i	−1.09293	+	0.794059i
$403$	−9.87349	−	30.3875i	−0.491834	−	1.51371i
$404$	8.66604	−	26.6713i	0.431152	−	1.32695i
$405$	−8.53000	−	6.19741i	−0.423859	−	0.307952i
$406$	23.9176			1.18701
$407$		0			0
$408$	0.725576			0.0359214
$409$	−19.0104	−	13.8119i	−0.940005	−	0.682954i	0.00841691	−	0.999965i	$-0.497321\pi$
$409$	−19.0104	−	13.8119i	−0.940005	−	0.682954i	−0.948422	+	0.317011i	$0.897321\pi$
$410$	−2.85386	+	8.78327i	−0.140942	+	0.433775i
$411$	6.61105	+	20.3467i	0.326099	+	1.00363i
$412$	−26.8561	+	19.5121i	−1.32311	+	0.961294i
$413$	6.98522	−	5.07506i	0.343720	−	0.249727i
$414$	0.593711	+	1.82725i	0.0291793	+	0.0898046i
$415$	−2.75600	+	8.48210i	−0.135287	+	0.416370i
$416$	−19.8919	−	14.4523i	−0.975283	−	0.708584i
$417$	−4.54328			−0.222485
$418$		0			0
$419$	−10.1128			−0.494043			−0.247022	−	0.969010i	$-0.579452\pi$
$419$	−10.1128			−0.494043			−0.247022	+	0.969010i	$0.579452\pi$
$420$	−11.3464	−	8.24361i	−0.553646	−	0.402247i
$421$	2.75731	−	8.48612i	0.134383	−	0.413588i	−0.861111	−	0.508418i	$-0.830231\pi$
$421$	2.75731	−	8.48612i	0.134383	−	0.413588i	0.995494	+	0.0948296i	$0.0302306\pi$
$422$	1.46901	+	4.52116i	0.0715105	+	0.220087i
$423$	1.59020	−	1.15535i	0.0773184	−	0.0561751i
$424$	2.77061	−	2.01296i	0.134552	−	0.0977581i
$425$	−0.143336	−	0.441143i	−0.00695282	−	0.0213986i
$426$	8.07828	−	24.8624i	0.391394	−	1.20459i
$427$	−5.00592	−	3.63701i	−0.242253	−	0.176007i
$428$	−17.4991			−0.845850
$429$		0			0
$430$	−2.75485			−0.132851
$431$	14.2486	+	10.3522i	0.686331	+	0.498649i	0.875452	−	0.483305i	$-0.160564\pi$
$431$	14.2486	+	10.3522i	0.686331	+	0.498649i	−0.189121	+	0.981954i	$0.560564\pi$
$432$	4.24360	−	13.0605i	0.204170	−	0.628372i
$433$	2.82564	+	8.69644i	0.135792	+	0.417924i	0.995712	−	0.0925038i	$-0.0294870\pi$
$433$	2.82564	+	8.69644i	0.135792	+	0.417924i	−0.859921	+	0.510428i	$0.829487\pi$
$434$	54.4700	−	39.5748i	2.61465	−	1.89965i
$435$	5.75975	−	4.18470i	0.276159	−	0.200641i
$436$	−5.49028	−	16.8973i	−0.262937	−	0.809236i
$437$	3.39206	−	10.4397i	0.162264	−	0.499398i
$438$	−32.0250	−	23.2675i	−1.53021	−	1.11177i
$439$	6.46946			0.308770			0.154385	−	0.988011i	$-0.450660\pi$
$439$	6.46946			0.308770			0.154385	+	0.988011i	$0.450660\pi$
$440$		0			0
$441$	1.58797			0.0756176
$442$	−2.39800	−	1.74225i	−0.114061	−	0.0828703i
$443$	−12.6339	+	38.8832i	−0.600255	+	1.84739i	−0.0736507	+	0.997284i	$0.523465\pi$
$443$	−12.6339	+	38.8832i	−0.600255	+	1.84739i	−0.526604	+	0.850111i	$0.676535\pi$
$444$	2.60632	+	8.02143i	0.123690	+	0.380680i
$445$	−5.47686	+	3.97918i	−0.259628	+	0.188631i
$446$	14.5437	−	10.5666i	0.688662	−	0.500342i
$447$	−5.15502	−	15.8655i	−0.243824	−	0.750413i
$448$	10.1966	−	31.3819i	0.481743	−	1.48265i
$449$	9.83826	+	7.14791i	0.464296	+	0.337331i	0.795214	−	0.606329i	$-0.207358\pi$
$449$	9.83826	+	7.14791i	0.464296	+	0.337331i	−0.330918	+	0.943659i	$0.607358\pi$
$450$	−1.38197			−0.0651465
$451$		0			0
$452$	−7.25777			−0.341377
$453$	−18.4718	−	13.4206i	−0.867882	−	0.630553i
$454$	−4.01464	+	12.3558i	−0.188416	+	0.579886i
$455$	2.89065	+	8.89651i	0.135516	+	0.417075i
$456$	−9.99204	+	7.25964i	−0.467920	+	0.339964i
$457$	8.01121	−	5.82049i	0.374749	−	0.272271i	−0.384429	−	0.923155i	$-0.625602\pi$
$457$	8.01121	−	5.82049i	0.374749	−	0.272271i	0.759177	+	0.650884i	$0.225602\pi$
$458$	−14.9995	−	46.1636i	−0.700880	−	2.15709i
$459$	0.641753	−	1.97511i	0.0299544	−	0.0921903i
$460$	−2.68842	−	1.95325i	−0.125348	−	0.0910709i
$461$	−3.12529			−0.145559			−0.0727796	−	0.997348i	$-0.523187\pi$
$461$	−3.12529			−0.145559			−0.0727796	+	0.997348i	$0.523187\pi$
$462$		0			0
$463$	−24.3518			−1.13173			−0.565863	−	0.824499i	$-0.691457\pi$
$463$	−24.3518			−1.13173			−0.565863	+	0.824499i	$0.691457\pi$
$464$	9.23485	+	6.70951i	0.428717	+	0.311481i
$465$	6.19315	−	19.0606i	0.287200	−	0.883912i
$466$	18.0406	+	55.5232i	0.835714	+	2.57206i
$467$	−26.8381	+	19.4990i	−1.24192	+	0.902307i	−0.997725	−	0.0674196i	$-0.978523\pi$
$467$	−26.8381	+	19.4990i	−1.24192	+	0.902307i	−0.244194	+	0.969726i	$0.578523\pi$
$468$	−3.88981	+	2.82611i	−0.179806	+	0.130637i
$469$	6.40487	+	19.7122i	0.295749	+	0.910223i
$470$	−1.92961	+	5.93874i	−0.0890064	+	0.273934i
$471$	−5.99763	−	4.35753i	−0.276356	−	0.200784i
$472$	−2.30185			−0.105951
$473$		0			0
$474$	46.3273			2.12788
$475$	6.38769	+	4.64093i	0.293088	+	0.212941i
$476$	1.05085	−	3.23418i	0.0481655	−	0.148238i
$477$	0.853604	+	2.62712i	0.0390838	+	0.120288i
$478$	−27.6072	+	20.0578i	−1.26273	+	0.917424i
$479$	13.9941	−	10.1673i	0.639409	−	0.464558i	−0.220238	−	0.975446i	$-0.570683\pi$
$479$	13.9941	−	10.1673i	0.639409	−	0.464558i	0.859647	+	0.510888i	$0.170683\pi$
$480$	−4.76588	−	14.6679i	−0.217531	−	0.669493i
$481$	1.73837	−	5.35015i	0.0792628	−	0.243946i
$482$	7.44269	+	5.40743i	0.339005	+	0.246302i
$483$	8.15736			0.371173
$484$		0			0
$485$	−15.3543			−0.697205
$486$	−11.4221	−	8.29865i	−0.518118	−	0.376435i
$487$	2.36108	−	7.26665i	0.106991	−	0.329283i	−0.883202	−	0.468993i	$-0.844617\pi$
$487$	2.36108	−	7.26665i	0.106991	−	0.329283i	0.990192	+	0.139710i	$0.0446170\pi$
$488$	0.509758	+	1.56887i	0.0230756	+	0.0710195i
$489$	15.3778	−	11.1726i	0.695406	−	0.505242i
$490$	−4.08124	+	2.96519i	−0.184372	+	0.133954i
$491$	−9.47332	−	29.1559i	−0.427525	−	1.31579i	−0.900556	−	0.434741i	$-0.856840\pi$
$491$	−9.47332	−	29.1559i	−0.427525	−	1.31579i	0.473030	−	0.881046i	$-0.343160\pi$
$492$	−6.22797	+	19.1677i	−0.280778	+	0.864147i
$493$	1.39657	+	1.01467i	0.0628983	+	0.0456983i
$494$	50.4551			2.27008
$495$		0			0
$496$	32.1333			1.44283
$497$	−16.1836	−	11.7581i	−0.725934	−	0.527422i
$498$	−11.0469	+	33.9987i	−0.495021	+	1.52352i
$499$	−11.5814	−	35.6440i	−0.518456	−	1.59564i	−0.776905	−	0.629618i	$-0.783211\pi$
$499$	−11.5814	−	35.6440i	−0.518456	−	1.59564i	0.258449	−	0.966025i	$-0.416789\pi$
$500$	1.93376	−	1.40496i	0.0864803	−	0.0628316i
$501$	−21.5433	+	15.6521i	−0.962482	+	0.699284i
$502$	1.72663	+	5.31401i	0.0770631	+	0.237176i
$503$	2.61952	−	8.06206i	0.116799	−	0.359469i	−0.875519	−	0.483183i	$-0.839480\pi$
$503$	2.61952	−	8.06206i	0.116799	−	0.359469i	0.992318	+	0.123714i	$0.0394805\pi$
$504$	−1.33828	−	0.972314i	−0.0596115	−	0.0433103i
$505$	−11.7326			−0.522093
$506$		0			0
$507$	−7.07548			−0.314233
$508$	0.873280	+	0.634475i	0.0387455	+	0.0281503i
$509$	−0.524474	+	1.61417i	−0.0232469	+	0.0715466i	−0.962007	−	0.273025i	$-0.911976\pi$
$509$	−0.524474	+	1.61417i	−0.0232469	+	0.0715466i	0.938760	+	0.344572i	$0.111976\pi$
$510$	−0.574532	−	1.76823i	−0.0254407	−	0.0782985i
$511$	−24.5059	+	17.8046i	−1.08408	+	0.787628i
$512$	24.0633	−	17.4830i	1.06346	−	0.772649i
$513$	10.9240	+	33.6206i	0.482306	+	1.48438i
$514$	14.0067	−	43.1083i	0.617811	−	1.90143i
$515$	11.2357	+	8.16319i	0.495103	+	0.359713i
$516$	−6.01190			−0.264659
$517$		0			0
$518$	11.8542			0.520843
$519$	−16.7627	−	12.1788i	−0.735803	−	0.534592i
$520$	0.770639	−	2.37178i	0.0337948	−	0.104010i
$521$	−11.4623	−	35.2775i	−0.502174	−	1.54553i	−0.805470	−	0.592637i	$-0.798087\pi$
$521$	−11.4623	−	35.2775i	−0.502174	−	1.54553i	0.303295	−	0.952897i	$-0.401913\pi$
$522$	4.16090	−	3.02307i	0.182117	−	0.132316i
$523$	14.6285	−	10.6282i	0.639659	−	0.464740i	−0.220074	−	0.975483i	$-0.570630\pi$
$523$	14.6285	−	10.6282i	0.639659	−	0.464740i	0.859733	+	0.510744i	$0.170630\pi$
$524$	0.464601	+	1.42989i	0.0202962	+	0.0624652i
$525$	−1.81316	+	5.58034i	−0.0791329	+	0.243546i
$526$	37.5288	+	27.2663i	1.63633	+	1.18887i
$527$	4.85946			0.211681
$528$		0			0
$529$	−21.0672			−0.915965
$530$	−7.09944	−	5.15804i	−0.308380	−	0.224051i
$531$	0.573742	−	1.76580i	0.0248983	−	0.0766291i
$532$	17.8877	+	55.0526i	0.775528	+	2.38683i
$533$	10.8752	−	7.90127i	0.471056	−	0.342242i
$534$	−21.9529	+	15.9497i	−0.949994	+	0.690211i
$535$	2.26231	+	6.96269i	0.0978084	+	0.301023i
$536$	1.70752	−	5.25521i	0.0737536	−	0.226990i
$537$	−35.1834	−	25.5622i	−1.51827	−	1.10309i
$538$	−43.4111			−1.87159
$539$		0			0
$540$	10.7018			0.460532
$541$	−9.50790	−	6.90789i	−0.408776	−	0.296993i	0.364330	−	0.931270i	$-0.381298\pi$
$541$	−9.50790	−	6.90789i	−0.408776	−	0.296993i	−0.773106	+	0.634277i	$0.781298\pi$
$542$	0.273957	−	0.843154i	0.0117675	−	0.0362165i
$543$	1.41776	+	4.36342i	0.0608419	+	0.187252i
$544$	3.02536	−	2.19805i	0.129711	−	0.0942407i
$545$	−6.01347	+	4.36904i	−0.257589	+	0.187149i
$546$	11.5866	+	35.6598i	0.495860	+	1.52610i
$547$	−6.72324	+	20.6920i	−0.287465	+	0.884726i	0.698184	+	0.715918i	$0.253992\pi$
$547$	−6.72324	+	20.6920i	−0.287465	+	0.884726i	−0.985649	+	0.168808i	$0.946008\pi$
$548$	−21.6260	−	15.7122i	−0.923816	−	0.671192i
$549$	−1.33057			−0.0567874
$550$		0			0
$551$	−29.3845			−1.25182
$552$	−1.75939	−	1.27827i	−0.0748847	−	0.0544069i
$553$	10.9547	−	33.7151i	0.465841	−	1.43371i
$554$	5.55057	+	17.0829i	0.235821	+	0.725783i
$555$	2.85469	−	2.07405i	0.121175	−	0.0880385i
$556$	4.59259	−	3.33671i	0.194769	−	0.141508i
$557$	1.49389	+	4.59771i	0.0632980	+	0.194811i	0.977704	−	0.209986i	$-0.0673420\pi$
$557$	1.49389	+	4.59771i	0.0632980	+	0.194811i	−0.914406	+	0.404798i	$0.867342\pi$
$558$	4.47399	−	13.7695i	0.189399	−	0.582910i
$559$	3.24402	+	2.35692i	0.137208	+	0.0996872i
$560$	−9.40763			−0.397545
$561$		0			0
$562$	14.6903			0.619672
$563$	−3.86062	−	2.80491i	−0.162706	−	0.118213i	0.503453	−	0.864023i	$-0.332063\pi$
$563$	−3.86062	−	2.80491i	−0.162706	−	0.118213i	−0.666159	+	0.745810i	$0.732063\pi$
$564$	−4.21099	+	12.9601i	−0.177315	+	0.545718i
$565$	0.938299	+	2.88779i	0.0394745	+	0.121490i
$566$	16.8719	−	12.2582i	0.709179	−	0.515249i
$567$	−26.1631	+	19.0086i	−1.09875	+	0.798286i
$568$	1.64799	+	5.07200i	0.0691483	+	0.212816i
$569$	11.0377	−	33.9705i	0.462724	−	1.42412i	−0.399098	−	0.916908i	$-0.630677\pi$
$569$	11.0377	−	33.9705i	0.462724	−	1.42412i	0.861822	−	0.507210i	$-0.169323\pi$
$570$	25.6037	+	18.6022i	1.07242	+	0.779161i
$571$	−33.9838			−1.42218			−0.711090	−	0.703101i	$-0.751798\pi$
$571$	−33.9838			−1.42218			−0.711090	+	0.703101i	$0.751798\pi$
$572$		0			0
$573$	32.9920			1.37826
$574$	22.9165	+	16.6498i	0.956515	+	0.694949i
$575$	−0.429613	+	1.32221i	−0.0179161	+	0.0551401i
$576$	−2.19264	−	6.74825i	−0.0913599	−	0.281177i
$577$	16.7126	−	12.1424i	0.695755	−	0.505495i	−0.182792	−	0.983152i	$-0.558514\pi$
$577$	16.7126	−	12.1424i	0.695755	−	0.505495i	0.878547	+	0.477656i	$0.158514\pi$
$578$	−28.4525	+	20.6719i	−1.18347	+	0.859839i
$579$	−1.52855	−	4.70441i	−0.0635245	−	0.195508i
$580$	−2.74890	+	8.46024i	−0.114142	+	0.351292i
$581$	22.1307	+	16.0789i	0.918136	+	0.667065i
$582$	−61.5447			−2.55111
$583$		0			0
$584$	8.07548			0.334166
$585$	1.62736	+	1.18235i	0.0672830	+	0.0488840i
$586$	−14.1286	+	43.4834i	−0.583647	+	1.79628i
$587$	4.12848	+	12.7062i	0.170401	+	0.524439i	0.999394	−	0.0348197i	$-0.0110857\pi$
$587$	4.12848	+	12.7062i	0.170401	+	0.524439i	−0.828993	+	0.559259i	$0.811086\pi$
$588$	−8.90648	+	6.47094i	−0.367297	+	0.266857i
$589$	−66.9205	+	48.6206i	−2.75741	+	2.00338i
$590$	1.82268	+	5.60962i	0.0750384	+	0.230944i
$591$	0.0855575	−	0.263319i	0.00351936	−	0.0108315i
$592$	4.57703	+	3.32541i	0.188115	+	0.136673i
$593$	20.8062			0.854410			0.427205	−	0.904155i	$-0.359498\pi$
$593$	20.8062			0.854410			0.427205	+	0.904155i	$0.359498\pi$
$594$		0			0
$595$	−1.42270			−0.0583250
$596$	16.8630	+	12.2517i	0.690737	+	0.501850i
$597$	−4.45830	+	13.7213i	−0.182466	+	0.561573i
$598$	2.74534	+	8.44928i	0.112265	+	0.345517i
$599$	11.5250	−	8.37338i	0.470897	−	0.342127i	−0.326894	−	0.945061i	$-0.606002\pi$
$599$	11.5250	−	8.37338i	0.470897	−	0.342127i	0.797791	+	0.602934i	$0.206002\pi$
$600$	1.26552	−	0.919451i	0.0516645	−	0.0375364i
$601$	−6.41093	−	19.7308i	−0.261507	−	0.804836i	−0.992478	−	0.122427i	$-0.960932\pi$
$601$	−6.41093	−	19.7308i	−0.261507	−	0.804836i	0.730970	−	0.682409i	$-0.239068\pi$
$602$	−2.61108	+	8.03609i	−0.106420	+	0.327526i
$603$	3.60577	+	2.61975i	0.146838	+	0.106684i
$604$	28.5287			1.16082
$605$		0			0
$606$	−47.0276			−1.91037
$607$	−14.4991	−	10.5342i	−0.588502	−	0.427572i	0.253277	−	0.967394i	$-0.418492\pi$
$607$	−14.4991	−	10.5342i	−0.588502	−	0.427572i	−0.841779	+	0.539822i	$0.818492\pi$
$608$	−19.6705	+	60.5395i	−0.797743	+	2.45520i
$609$	−6.74790	−	20.7679i	−0.273439	−	0.841558i
$610$	3.41970	−	2.48456i	0.138460	−	0.100597i
$611$	7.35316	−	5.34238i	0.297477	−	0.216130i
$612$	−0.225971	−	0.695467i	−0.00913433	−	0.0281126i
$613$	−8.71486	+	26.8216i	−0.351990	+	1.08331i	0.605745	+	0.795659i	$0.292875\pi$
$613$	−8.71486	+	26.8216i	−0.351990	+	1.08331i	−0.957734	+	0.287654i	$0.907125\pi$
$614$	−52.3243	−	38.0158i	−2.11164	−	1.53419i
$615$	8.43178			0.340002
$616$		0			0
$617$	−4.72930			−0.190394			−0.0951972	−	0.995458i	$-0.530348\pi$
$617$	−4.72930			−0.190394			−0.0951972	+	0.995458i	$0.530348\pi$
$618$	45.0358	+	32.7205i	1.81161	+	1.31621i
$619$	−9.28827	+	28.5864i	−0.373327	+	1.14898i	0.571273	+	0.820760i	$0.306450\pi$
$619$	−9.28827	+	28.5864i	−0.373327	+	1.14898i	−0.944600	+	0.328223i	$0.893550\pi$
$620$	7.73823	+	23.8158i	0.310775	+	0.956467i
$621$	−5.03576	+	3.65869i	−0.202078	+	0.146818i
$622$	−32.9109	+	23.9112i	−1.31961	+	0.958752i
$623$	6.41648	+	19.7479i	0.257071	+	0.791183i
$624$	−5.52981	+	17.0190i	−0.221369	+	0.681305i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	−2.20314			−0.0880551
$627$		0			0
$628$	9.26301			0.369634
$629$	0.692177	+	0.502896i	0.0275989	+	0.0200518i
$630$	−1.30984	+	4.03129i	−0.0521855	+	0.160610i
$631$	−9.79694	−	30.1519i	−0.390010	−	1.20033i	−0.932780	−	0.360446i	$-0.882624\pi$
$631$	−9.79694	−	30.1519i	−0.390010	−	1.20033i	0.542770	−	0.839882i	$-0.317376\pi$
$632$	−7.64594	+	5.55510i	−0.304139	+	0.220970i
$633$	3.51132	−	2.55112i	0.139562	−	0.101398i
$634$	15.4304	+	47.4899i	0.612820	+	1.88607i
$635$	0.139551	−	0.429495i	0.00553792	−	0.0170440i
$636$	−15.4931	−	11.2564i	−0.614341	−	0.446345i
$637$	7.34282			0.290933
$638$		0			0
$639$	−4.30160			−0.170169
$640$	5.19153	+	3.77187i	0.205213	+	0.149096i
$641$	−5.85814	+	18.0295i	−0.231383	+	0.712123i	0.766198	+	0.642605i	$0.222146\pi$
$641$	−5.85814	+	18.0295i	−0.231383	+	0.712123i	−0.997581	+	0.0695181i	$0.977854\pi$
$642$	9.06801	+	27.9085i	0.357886	+	1.10146i
$643$	29.3259	−	21.3065i	1.15650	−	0.840248i	0.167170	−	0.985928i	$-0.446537\pi$
$643$	29.3259	−	21.3065i	1.15650	−	0.840248i	0.989332	+	0.145680i	$0.0465370\pi$
$644$	−8.24589	+	5.99099i	−0.324933	+	0.236078i
$645$	0.777230	+	2.39207i	0.0306034	+	0.0941876i
$646$	−2.37130	+	7.29812i	−0.0932976	+	0.287141i
$647$	28.2767	+	20.5442i	1.11167	+	0.807676i	0.982926	−	0.184002i	$-0.0589052\pi$
$647$	28.2767	+	20.5442i	1.11167	+	0.807676i	0.128745	+	0.991678i	$0.458905\pi$
$648$	8.62158			0.338688
$649$		0			0
$650$	−6.39026			−0.250646
$651$	−49.7310	−	36.1317i	−1.94911	−	1.41611i
$652$	−7.33919	+	22.5877i	−0.287425	+	0.884602i
$653$	−9.20539	−	28.3313i	−0.360235	−	1.10869i	−0.952912	−	0.303248i	$-0.901929\pi$
$653$	−9.20539	−	28.3313i	−0.360235	−	1.10869i	0.592677	−	0.805440i	$-0.298071\pi$
$654$	−24.1037	+	17.5124i	−0.942531	+	0.684789i
$655$	0.508874	−	0.369719i	0.0198834	−	0.0144461i
$656$	4.17761	+	12.8573i	0.163108	+	0.501995i
$657$	−2.01283	+	6.19486i	−0.0785280	+	0.241684i
$658$	15.4948	+	11.2576i	0.604050	+	0.438868i
$659$	−7.30532			−0.284575			−0.142287	−	0.989825i	$-0.545446\pi$
$659$	−7.30532			−0.284575			−0.142287	+	0.989825i	$0.545446\pi$
$660$		0			0
$661$	−22.7352			−0.884296			−0.442148	−	0.896942i	$-0.645783\pi$
$661$	−22.7352			−0.884296			−0.442148	+	0.896942i	$0.645783\pi$
$662$	43.5128	+	31.6139i	1.69117	+	1.22871i
$663$	−0.836263	+	2.57375i	−0.0324778	+	0.0999563i
$664$	−2.25359	−	6.93584i	−0.0874563	−	0.269163i
$665$	19.5922	−	14.2346i	0.759755	−	0.551994i
$666$	2.06225	−	1.49831i	0.0799106	−	0.0580584i
$667$	−1.59886	−	4.92077i	−0.0619079	−	0.190533i
$668$	10.2817	−	31.6439i	0.397812	−	1.22434i
$669$	−13.2783	−	9.64726i	−0.513369	−	0.372985i
$670$	−14.1590			−0.547010
$671$		0			0
$672$	−47.3043			−1.82480
$673$	14.3561	+	10.4303i	0.553387	+	0.402059i	0.829033	−	0.559200i	$-0.188892\pi$
$673$	14.3561	+	10.4303i	0.553387	+	0.402059i	−0.275646	+	0.961259i	$0.588892\pi$
$674$	15.4697	−	47.6109i	0.595872	−	1.83390i
$675$	−1.38355	−	4.25813i	−0.0532528	−	0.163895i
$676$	7.15227	−	5.19643i	0.275087	−	0.199863i
$677$	−6.60332	+	4.79759i	−0.253786	+	0.184387i	−0.707403	−	0.706810i	$-0.750133\pi$
$677$	−6.60332	+	4.79759i	−0.253786	+	0.184387i	0.453617	+	0.891197i	$0.350133\pi$
$678$	3.76097	+	11.5751i	0.144439	+	0.444539i
$679$	−14.5530	+	44.7897i	−0.558494	+	1.71887i
$680$	0.306850	+	0.222940i	0.0117672	+	0.00854934i
$681$	11.8613			0.454527
$682$		0			0
$683$	−6.19100			−0.236892			−0.118446	−	0.992960i	$-0.537791\pi$
$683$	−6.19100			−0.236892			−0.118446	+	0.992960i	$0.537791\pi$
$684$	10.0703	+	7.31648i	0.385046	+	0.279753i
$685$	−3.45586	+	10.6360i	−0.132042	+	0.406382i
$686$	−9.12020	−	28.0691i	−0.348211	−	1.07168i
$687$	−35.8526	+	26.0484i	−1.36786	+	0.993810i
$688$	−3.26250	+	2.37035i	−0.124382	+	0.0903686i
$689$	3.94709	+	12.1479i	0.150372	+	0.462798i
$690$	−1.72201	+	5.29981i	−0.0655559	+	0.201760i
$691$	−19.0969	−	13.8747i	−0.726482	−	0.527820i	0.161967	−	0.986796i	$-0.448216\pi$
$691$	−19.0969	−	13.8747i	−0.726482	−	0.527820i	−0.888448	+	0.458976i	$0.848216\pi$
$692$	25.8892			0.984158
$693$		0			0
$694$	0.695956			0.0264181
$695$	−1.92138	−	1.39596i	−0.0728820	−	0.0529519i
$696$	−1.79897	+	5.53666i	−0.0681898	+	0.209867i
$697$	0.631772	+	1.94439i	0.0239301	+	0.0736492i
$698$	2.07058	−	1.50436i	0.0783724	−	0.0569409i
$699$	43.1216	−	31.3297i	1.63101	−	1.18500i
$700$	−2.26552	−	6.97254i	−0.0856284	−	0.263537i
$701$	11.5042	−	35.4063i	0.434508	−	1.33728i	−0.459082	−	0.888394i	$-0.651822\pi$
$701$	11.5042	−	35.4063i	0.434508	−	1.33728i	0.893590	−	0.448884i	$-0.148178\pi$
$702$	−23.1467	−	16.8170i	−0.873614	−	0.634718i
$703$	−14.5637			−0.549282
$704$		0			0
$705$	5.70108			0.214715
$706$	−43.5713	−	31.6564i	−1.63983	−	1.19140i
$707$	−11.1203	+	34.2247i	−0.418222	+	1.28715i
$708$	3.97762	+	12.2419i	0.149488	+	0.460077i
$709$	−14.7676	+	10.7293i	−0.554609	+	0.402947i	−0.829482	−	0.558534i	$-0.811364\pi$
$709$	−14.7676	+	10.7293i	−0.554609	+	0.402947i	0.274873	+	0.961480i	$0.411364\pi$
$710$	11.0555	−	8.03232i	0.414907	−	0.301448i
$711$	−2.35566	−	7.24997i	−0.0883441	−	0.271895i
$712$	1.71062	−	5.26473i	0.0641080	−	0.197304i
$713$	−11.7833	−	8.56108i	−0.441289	−	0.320615i
$714$	−5.70259			−0.213414
$715$		0			0
$716$	54.3388			2.03074
$717$	25.2053	+	18.3127i	0.941310	+	0.683902i
$718$	11.6103	−	35.7328i	0.433292	−	1.33354i
$719$	2.95849	+	9.10531i	0.110333	+	0.339571i	0.990945	−	0.134268i	$-0.0428682\pi$
$719$	2.95849	+	9.10531i	0.110333	+	0.339571i	−0.880612	+	0.473838i	$0.842868\pi$
$720$	−1.63663	+	1.18908i	−0.0609935	+	0.0443144i
$721$	34.4619	−	25.0380i	1.28343	−	0.932465i
$722$	−28.0624	−	86.3673i	−1.04438	−	3.21426i
$723$	2.59552	−	7.98818i	0.0965283	−	0.297084i
$724$	−4.63776	−	3.36953i	−0.172361	−	0.125228i
$725$	3.72162			0.138217
$726$		0			0
$727$	−14.0175			−0.519882			−0.259941	−	0.965625i	$-0.583703\pi$
$727$	−14.0175			−0.519882			−0.259941	+	0.965625i	$0.583703\pi$
$728$	−6.18823	−	4.49601i	−0.229351	−	0.166633i
$729$	5.79123	−	17.8236i	0.214490	−	0.660132i
$730$	−6.39440	−	19.6799i	−0.236667	−	0.728388i
$731$	−0.493383	+	0.358463i	−0.0182484	+	0.0132582i
$732$	7.46281	−	5.42205i	0.275833	−	0.200405i
$733$	2.87006	+	8.83314i	0.106008	+	0.326260i	0.989966	−	0.141307i	$-0.0451306\pi$
$733$	2.87006	+	8.83314i	0.106008	+	0.326260i	−0.883958	+	0.467567i	$0.845131\pi$
$734$	5.49771	−	16.9202i	0.202924	−	0.624536i
$735$	3.72616	+	2.70721i	0.137441	+	0.0998571i
$736$	−11.2083			−0.413145
$737$		0			0
$738$	6.09119			0.224220
$739$	31.5182	+	22.8993i	1.15942	+	0.842365i	0.989704	−	0.143129i	$-0.0457163\pi$
$739$	31.5182	+	22.8993i	1.15942	+	0.842365i	0.169712	+	0.985494i	$0.445716\pi$
$740$	−1.36243	+	4.19312i	−0.0500838	+	0.154142i
$741$	−14.2350	−	43.8107i	−0.522935	−	1.60943i
$742$	−21.7753	+	15.8207i	−0.799396	+	0.580795i
$743$	−37.1578	+	26.9968i	−1.36319	+	0.990415i	−0.364954	+	0.931025i	$0.618915\pi$
$743$	−37.1578	+	26.9968i	−1.36319	+	0.990415i	−0.998235	+	0.0593894i	$0.981085\pi$
$744$	5.06416	+	15.5859i	0.185661	+	0.571406i
$745$	2.69473	−	8.29354i	0.0987274	−	0.303852i
$746$	60.7618	+	44.1460i	2.22465	+	1.61630i
$747$	5.88233			0.215223
$748$		0			0
$749$	22.4549			0.820483
$750$	−3.24278	−	2.35601i	−0.118409	−	0.0860295i
$751$	7.16698	−	22.0577i	0.261527	−	0.804896i	−0.730947	−	0.682435i	$-0.760921\pi$
$751$	7.16698	−	22.0577i	0.261527	−	0.804896i	0.992473	−	0.122462i	$-0.0390788\pi$
$752$	2.82465	+	8.69339i	0.103005	+	0.317015i
$753$	4.12708	−	2.99850i	0.150399	−	0.109271i
$754$	19.2401	−	13.9788i	0.700684	−	0.509077i
$755$	−3.68825	−	11.3513i	−0.134229	−	0.413115i
$756$	10.1433	−	31.2179i	0.368908	−	1.13538i
$757$	5.27642	+	3.83355i	0.191775	+	0.139333i	0.679530	−	0.733648i	$-0.262184\pi$
$757$	5.27642	+	3.83355i	0.191775	+	0.139333i	−0.487755	+	0.872981i	$0.662184\pi$
$758$	−36.7757			−1.33575
$759$		0			0
$760$	−6.45628			−0.234194
$761$	5.31267	+	3.85988i	0.192584	+	0.139921i	0.679899	−	0.733306i	$-0.262024\pi$
$761$	5.31267	+	3.85988i	0.192584	+	0.139921i	−0.487315	+	0.873226i	$0.662024\pi$
$762$	0.559362	−	1.72154i	0.0202635	−	0.0623648i
$763$	7.04515	+	21.6827i	0.255051	+	0.784968i
$764$	−33.3501	+	24.2302i	−1.20656	+	0.876620i
$765$	−0.247504	+	0.179823i	−0.00894854	+	0.00650150i
$766$	14.0018	+	43.0932i	0.505906	+	1.55702i
$767$	2.65300	−	8.16511i	0.0957944	−	0.294825i
$768$	−12.4901	−	9.07456i	−0.450696	−	0.327450i
$769$	12.5950			0.454188			0.227094	−	0.973873i	$-0.427078\pi$
$769$	12.5950			0.454188			0.227094	+	0.973873i	$0.427078\pi$
$770$		0			0
$771$	−41.3832			−1.49038
$772$	5.00019	+	3.63285i	0.179961	+	0.130749i
$773$	6.78131	−	20.8707i	0.243907	−	0.750668i	−0.751907	−	0.659269i	$-0.770866\pi$
$773$	6.78131	−	20.8707i	0.243907	−	0.750668i	0.995814	−	0.0913995i	$-0.0291340\pi$
$774$	0.561478	+	1.72805i	0.0201819	+	0.0621136i
$775$	8.47564	−	6.15791i	0.304454	−	0.221199i
$776$	10.1574	−	7.37982i	0.364631	−	0.264920i
$777$	−3.34444	−	10.2931i	−0.119981	−	0.369264i
$778$	−23.1420	+	71.2239i	−0.829682	+	2.55350i
$779$	−28.1546	−	20.4555i	−1.00874	−	0.732895i
$780$	−13.9454			−0.499327
$781$		0			0
$782$	−1.35118			−0.0483181
$783$	13.4804	+	9.79406i	0.481749	+	0.350011i
$784$	−2.28198	+	7.02321i	−0.0814993	+	0.250829i
$785$	−1.19754	−	3.68565i	−0.0427420	−	0.131546i
$786$	2.03972	−	1.48194i	0.0727543	−	0.0528591i
$787$	−13.5347	+	9.83355i	−0.482461	+	0.350528i	−0.802278	−	0.596951i	$-0.796379\pi$
$787$	−13.5347	+	9.83355i	−0.482461	+	0.350528i	0.319817	+	0.947479i	$0.396379\pi$
$788$	0.106903	+	0.329012i	0.00380825	+	0.0117206i
$789$	13.0876	−	40.2793i	0.465929	−	1.43398i
$790$	19.5921	+	14.2345i	0.697054	+	0.506439i
$791$	9.31320			0.331139
$792$		0			0
$793$	−6.15261			−0.218486
$794$	−33.9783	−	24.6867i	−1.20585	−	0.876098i
$795$	−2.47581	+	7.61977i	−0.0878081	+	0.270246i
$796$	−5.57058	−	17.1445i	−0.197444	−	0.607670i
$797$	9.52271	−	6.91865i	0.337312	−	0.245071i	−0.406215	−	0.913777i	$-0.633152\pi$
$797$	9.52271	−	6.91865i	0.337312	−	0.245071i	0.743527	+	0.668706i	$0.233152\pi$
$798$	78.5314	−	57.0564i	2.77998	−	2.01978i
$799$	0.427168	+	1.31469i	0.0151121	+	0.0465103i
$800$	2.49131	−	7.66748i	0.0880813	−	0.271086i
$801$	3.61231	+	2.62449i	0.127635	+	0.0927319i
$802$	43.7889			1.54624
$803$		0			0
$804$	−30.8992			−1.08973
$805$	3.44979	+	2.50642i	0.121589	+	0.0883397i
$806$	20.6879	−	63.6707i	0.728699	−	2.24270i
$807$	12.2476	+	37.6944i	0.431137	+	1.32690i
$808$	7.76152	−	5.63908i	0.273049	−	0.198382i
$809$	−0.967540	+	0.702959i	−0.0340169	+	0.0247147i	−0.604664	−	0.796481i	$-0.706693\pi$
$809$	−0.967540	+	0.702959i	−0.0340169	+	0.0247147i	0.570647	+	0.821196i	$0.306693\pi$
$810$	−6.82682	−	21.0108i	−0.239870	−	0.738244i
$811$	11.0706	−	34.0719i	0.388742	−	1.19643i	−0.544987	−	0.838444i	$-0.683465\pi$
$811$	11.0706	−	34.0719i	0.388742	−	1.19643i	0.933729	−	0.357981i	$-0.116535\pi$
$812$	22.0737	+	16.0374i	0.774633	+	0.562804i
$813$	−0.809412			−0.0283873
$814$		0			0
$815$	9.93621			0.348050
$816$	−2.20184	−	1.59973i	−0.0770797	−	0.0560017i
$817$	3.20791	−	9.87293i	0.112231	−	0.345410i
$818$	−15.2146	−	46.8258i	−0.531967	−	1.63723i
$819$	4.99141	−	3.62647i	0.174414	−	0.126719i
$820$	−8.52329	+	6.19253i	−0.297646	+	0.216253i
$821$	1.69712	+	5.22320i	0.0592299	+	0.182291i	0.976294	−	0.216449i	$-0.0694476\pi$
$821$	1.69712	+	5.22320i	0.0592299	+	0.182291i	−0.917064	+	0.398740i	$0.869448\pi$
$822$	−13.8521	+	42.6323i	−0.483147	+	1.48697i
$823$	−34.5654	−	25.1133i	−1.20488	−	0.875393i	−0.210120	−	0.977676i	$-0.567386\pi$
$823$	−34.5654	−	25.1133i	−1.20488	−	0.875393i	−0.994755	+	0.102282i	$0.967386\pi$
$824$	−11.3563			−0.395616
$825$		0			0
$826$	18.0912			0.629473
$827$	−26.2290	−	19.0565i	−0.912070	−	0.662658i	0.0294672	−	0.999566i	$-0.490619\pi$
$827$	−26.2290	−	19.0565i	−0.912070	−	0.662658i	−0.941538	+	0.336908i	$0.890619\pi$
$828$	−0.677290	+	2.08448i	−0.0235374	+	0.0724408i
$829$	−0.899698	−	2.76899i	−0.0312478	−	0.0961709i	0.934216	−	0.356707i	$-0.116101\pi$
$829$	−0.899698	−	2.76899i	−0.0312478	−	0.0961709i	−0.965464	+	0.260536i	$0.916101\pi$
$830$	−15.1182	+	10.9840i	−0.524760	+	0.381260i
$831$	13.2673	−	9.63925i	0.460237	−	0.334382i
$832$	−10.1388	−	31.2041i	−0.351501	−	1.08181i
$833$	−0.345100	+	1.06211i	−0.0119570	+	0.0367999i
$834$	−7.70144	−	5.59542i	−0.266679	−	0.193754i
$835$	−13.9200			−0.481722
$836$		0			0
$837$	46.9059			1.62130
$838$	−17.1425	−	12.4548i	−0.592178	−	0.430243i
$839$	−6.44192	+	19.8262i	−0.222400	+	0.684476i	0.776145	+	0.630554i	$0.217172\pi$
$839$	−6.44192	+	19.8262i	−0.222400	+	0.684476i	−0.998545	+	0.0539222i	$0.982828\pi$
$840$	−1.48263	−	4.56306i	−0.0511555	−	0.157441i
$841$	12.2562	−	8.90468i	0.422629	−	0.307058i
$842$	15.1253	−	10.9892i	0.521254	−	0.378713i
$843$	−4.14459	−	12.7557i	−0.142747	−	0.439331i
$844$	−1.67581	+	5.15762i	−0.0576838	+	0.177533i
$845$	−2.99226	−	2.17400i	−0.102937	−	0.0747880i
$846$	4.11851			0.141597
$847$		0			0
$848$	−12.8458			−0.441127
$849$	−15.4040	−	11.1917i	−0.528664	−	0.384097i
$850$	0.300331	−	0.924324i	0.0103013	−	0.0317041i
$851$	−0.792435	−	2.43886i	−0.0271643	−	0.0836032i
$852$	24.1265	−	17.5289i	0.826560	−	0.600531i
$853$	−27.9523	+	20.3085i	−0.957067	+	0.695350i	−0.952468	−	0.304639i	$-0.901464\pi$
$853$	−27.9523	+	20.3085i	−0.957067	+	0.695350i	−0.00459957	+	0.999989i	$0.501464\pi$
$854$	−4.00639	−	12.3304i	−0.137096	−	0.421938i
$855$	1.60924	−	4.95274i	0.0550349	−	0.169380i
$856$	−4.84310	−	3.51872i	−0.165534	−	0.120267i
$857$	33.2969			1.13740			0.568699	−	0.822545i	$-0.307447\pi$
$857$	33.2969			1.13740			0.568699	+	0.822545i	$0.307447\pi$
$858$		0			0
$859$	−16.7665			−0.572067			−0.286034	−	0.958220i	$-0.592337\pi$
$859$	−16.7665			−0.572067			−0.286034	+	0.958220i	$0.592337\pi$
$860$	−2.54247	−	1.84721i	−0.0866974	−	0.0629894i
$861$	7.99175	−	24.5961i	0.272358	−	0.838232i
$862$	11.4036	+	35.0967i	0.388408	+	1.19540i
$863$	1.20070	−	0.872362i	0.0408724	−	0.0296955i	−0.567161	−	0.823607i	$-0.691958\pi$
$863$	1.20070	−	0.872362i	0.0408724	−	0.0296955i	0.608034	+	0.793911i	$0.291958\pi$
$864$	29.2022	−	21.2167i	0.993480	−	0.721806i
$865$	−3.34700	−	10.3010i	−0.113801	−	0.350245i
$866$	−5.92055	+	18.2216i	−0.201189	+	0.619195i
$867$	25.9770	+	18.8734i	0.882226	+	0.640975i
$868$	76.8068			2.60699
$869$		0			0
$870$	14.9173			0.505745
$871$	16.6732	+	12.1138i	0.564950	+	0.410460i
$872$	1.87822	−	5.78055i	0.0636044	−	0.195754i
$873$	3.12944	+	9.63141i	0.105915	+	0.325974i
$874$	18.6073	−	13.5190i	0.629403	−	0.457288i
$875$	−2.48141	+	1.80285i	−0.0838868	+	0.0609473i
$876$	−13.9545	−	42.9475i	−0.471478	−	1.45106i
$877$	−7.68262	+	23.6447i	−0.259424	+	0.798424i	0.733502	+	0.679687i	$0.237885\pi$
$877$	−7.68262	+	23.6447i	−0.259424	+	0.798424i	−0.992926	+	0.118737i	$0.962115\pi$
$878$	10.9666	+	7.96767i	0.370104	+	0.268896i
$879$	41.7433			1.40797
$880$		0			0
$881$	32.6968			1.10158			0.550792	−	0.834643i	$-0.314326\pi$
$881$	32.6968			1.10158			0.550792	+	0.834643i	$0.314326\pi$
$882$	2.69181	+	1.95571i	0.0906380	+	0.0658523i
$883$	14.7159	−	45.2910i	0.495231	−	1.52416i	−0.321366	−	0.946955i	$-0.604142\pi$
$883$	14.7159	−	45.2910i	0.495231	−	1.52416i	0.816597	−	0.577208i	$-0.195858\pi$
$884$	−1.04490	−	3.21586i	−0.0351437	−	0.108161i
$885$	4.35666	−	3.16530i	0.146448	−	0.106400i
$886$	−69.3039	+	50.3522i	−2.32831	+	1.69162i
$887$	18.2617	+	56.2037i	0.613167	+	1.88713i	0.425704	+	0.904862i	$0.360026\pi$
$887$	18.2617	+	56.2037i	0.613167	+	1.88713i	0.187463	+	0.982272i	$0.439974\pi$
$888$	−0.891617	+	2.74412i	−0.0299207	+	0.0920865i
$889$	−1.12060	−	0.814161i	−0.0375836	−	0.0273061i
$890$	−14.1847			−0.475471
$891$		0			0
$892$	20.5076			0.686646
$893$	−19.0365	−	13.8308i	−0.637032	−	0.462831i
$894$	10.8013	−	33.2429i	0.361249	−	1.11181i
$895$	−7.02502	−	21.6208i	−0.234821	−	0.722704i
$896$	15.9234	−	11.5690i	0.531963	−	0.386494i
$897$	6.56206	−	4.76762i	0.219101	−	0.159186i
$898$	7.87386	+	24.2333i	0.262754	+	0.808674i
$899$	−12.0484	+	37.0811i	−0.401836	+	1.23673i
$900$	−1.27542	−	0.926650i	−0.0425141	−	0.0308883i
$901$	−1.94265			−0.0647190
$902$		0			0
$903$	7.71450			0.256722
$904$	−2.00869	−	1.45940i	−0.0668079	−	0.0485388i
$905$	−0.741120	+	2.28093i	−0.0246357	+	0.0758208i
$906$	−14.7836	−	45.4992i	−0.491151	−	1.51161i
$907$	−28.0386	+	20.3712i	−0.931005	+	0.676415i	−0.946239	−	0.323469i	$-0.895151\pi$
$907$	−28.0386	+	20.3712i	−0.931005	+	0.676415i	0.0152337	+	0.999884i	$0.495151\pi$
$908$	−11.9901	+	8.71129i	−0.397904	+	0.289094i
$909$	2.39127	+	7.35957i	0.0793134	+	0.244102i
$910$	−6.05677	+	18.6408i	−0.200780	+	0.617937i
$911$	8.24247	+	5.98851i	0.273085	+	0.198408i	0.715896	−	0.698207i	$-0.246019\pi$
$911$	8.24247	+	5.98851i	0.273085	+	0.198408i	−0.442811	+	0.896615i	$0.646019\pi$
$912$	46.3277			1.53406
$913$		0			0
$914$	20.7484			0.686298
$915$	−3.12218	−	2.26840i	−0.103216	−	0.0749909i
$916$	17.1110	−	52.6623i	0.565364	−	1.74001i
$917$	−0.596177	−	1.83485i	−0.0196875	−	0.0605919i
$918$	3.52037	−	2.55770i	0.116189	−	0.0844165i
$919$	29.2289	−	21.2360i	0.964172	−	0.700512i	0.0100558	−	0.999949i	$-0.496799\pi$
$919$	29.2289	−	21.2360i	0.964172	−	0.700512i	0.954116	+	0.299438i	$0.0967991\pi$
$920$	−0.351296	−	1.08118i	−0.0115819	−	0.0356454i
$921$	−18.2472	+	56.1593i	−0.601267	+	1.85051i
$922$	−5.29777	−	3.84905i	−0.174473	−	0.126762i
$923$	−19.8907			−0.654711
$924$		0			0
$925$	1.84453			0.0606479
$926$	−41.2795	−	29.9913i	−1.35653	−	0.985575i
$927$	2.83059	−	8.71164i	0.0929686	−	0.286128i
$928$	9.27172	+	28.5354i	0.304359	+	0.936721i
$929$	−22.7528	+	16.5309i	−0.746494	+	0.542360i	−0.894738	−	0.446591i	$-0.852638\pi$
$929$	−22.7528	+	16.5309i	−0.746494	+	0.542360i	0.148244	+	0.988951i	$0.452638\pi$
$930$	33.9728	−	24.6827i	1.11401	−	0.809378i
$931$	−5.87433	−	18.0793i	−0.192523	−	0.592526i
$932$	−20.5802	+	63.3394i	−0.674128	+	2.07475i
$933$	30.0476	+	21.8309i	0.983714	+	0.714710i
$934$	−69.5087			−2.27439
$935$		0			0
$936$	−1.64483			−0.0537630
$937$	−0.0689021	−	0.0500603i	−0.00225093	−	0.00163540i	0.586659	−	0.809834i	$-0.300443\pi$
$937$	−0.0689021	−	0.0500603i	−0.00225093	−	0.00163540i	−0.588910	+	0.808199i	$0.700443\pi$
$938$	−13.4201	+	41.3028i	−0.438181	+	1.34858i
$939$	0.621575	+	1.91301i	0.0202843	+	0.0624287i
$940$	−5.76295	+	4.18703i	−0.187967	+	0.136566i
$941$	33.8294	−	24.5785i	1.10281	−	0.801235i	0.121290	−	0.992617i	$-0.461297\pi$
$941$	33.8294	−	24.5785i	1.10281	−	0.801235i	0.981516	+	0.191382i	$0.0612968\pi$
$942$	−4.80009	−	14.7731i	−0.156395	−	0.481335i
$943$	1.89357	−	5.82782i	0.0616633	−	0.189780i
$944$	6.98522	+	5.07506i	0.227349	+	0.165179i
$945$	−13.7326			−0.446721
$946$		0			0
$947$	8.92463			0.290012			0.145006	−	0.989431i	$-0.453680\pi$
$947$	8.92463			0.290012			0.145006	+	0.989431i	$0.453680\pi$
$948$	42.7557	+	31.0638i	1.38864	+	1.00891i
$949$	−9.30740	+	28.6452i	−0.302131	+	0.929863i
$950$	5.11227	+	15.7340i	0.165864	+	0.510477i
$951$	36.8826	−	26.7968i	1.19600	−	0.868946i
$952$	0.941166	−	0.683797i	0.0305034	−	0.0221620i
$953$	1.62661	+	5.00620i	0.0526912	+	0.162167i	0.973939	−	0.226808i	$-0.0728292\pi$
$953$	1.62661	+	5.00620i	0.0526912	+	0.162167i	−0.921248	+	0.388975i	$0.872829\pi$
$954$	−1.78855	+	5.50459i	−0.0579065	+	0.178218i
$955$	13.9525	+	10.1371i	0.451493	+	0.328029i
$956$	−38.9283			−1.25903
$957$		0			0
$958$	36.2438			1.17098
$959$	27.7505	+	20.1619i	0.896112	+	0.651063i
$960$	6.35959	−	19.5728i	0.205255	−	0.631709i
$961$	24.3371	+	74.9018i	0.785067	+	2.41619i
$962$	9.53591	−	6.92825i	0.307450	−	0.223376i
$963$	3.90644	−	2.83819i	0.125883	−	0.0914594i
$964$	3.24305	+	9.98109i	0.104452	+	0.321469i
$965$	0.799036	−	2.45918i	0.0257219	−	0.0791638i
$966$	13.8278	+	10.0465i	0.444901	+	0.323240i
$967$	−18.5421			−0.596275			−0.298138	−	0.954523i	$-0.596365\pi$
$967$	−18.5421			−0.596275			−0.298138	+	0.954523i	$0.596365\pi$
$968$		0			0
$969$	7.00606			0.225067
$970$	−26.0276	−	18.9102i	−0.835696	−	0.607168i
$971$	−7.48533	+	23.0375i	−0.240216	+	0.739308i	0.756171	+	0.654374i	$0.227068\pi$
$971$	−7.48533	+	23.0375i	−0.240216	+	0.739308i	−0.996387	+	0.0849336i	$0.972932\pi$
$972$	−4.97704	−	15.3177i	−0.159639	−	0.491317i
$973$	−5.89322	+	4.28168i	−0.188928	+	0.137264i
$974$	12.9518	−	9.41004i	0.415003	−	0.301517i
$975$	1.80289	+	5.54873i	0.0577388	+	0.177702i
$976$	1.91209	−	5.88481i	0.0612045	−	0.188368i
$977$	−39.6918	−	28.8378i	−1.26985	−	0.922603i	−0.270658	−	0.962676i	$-0.587241\pi$
$977$	−39.6918	−	28.8378i	−1.26985	−	0.922603i	−0.999197	+	0.0400724i	$0.987241\pi$
$978$	39.8272			1.27353
$979$		0			0
$980$	−5.75485			−0.183832
$981$	3.96623	+	2.88163i	0.126632	+	0.0920035i
$982$	19.8494	−	61.0902i	0.633420	−	1.94947i
$983$	15.1849	+	46.7344i	0.484324	+	1.49060i	0.832958	+	0.553337i	$0.186646\pi$
$983$	15.1849	+	46.7344i	0.484324	+	1.49060i	−0.348634	+	0.937259i	$0.613354\pi$
$984$	−5.57792	+	4.05260i	−0.177818	+	0.129192i
$985$	0.117090	−	0.0850707i	0.00373079	−	0.00271058i
$986$	1.11772	+	3.43998i	0.0355954	+	0.109551i
$987$	5.40356	−	16.6304i	0.171997	−	0.529353i
$988$	46.5653	+	33.8316i	1.48144	+	1.07633i
$989$	1.82788			0.0581233
$990$		0			0
$991$	30.9620			0.983541			0.491771	−	0.870725i	$-0.336350\pi$
$991$	30.9620			0.983541			0.491771	+	0.870725i	$0.336350\pi$
$992$	68.3312	+	49.6455i	2.16952	+	1.57625i
$993$	15.1744	−	46.7019i	0.481544	−	1.48204i
$994$	−12.9522	−	39.8629i	−0.410820	−	1.26437i
$995$	−6.10142	+	4.43294i	−0.193428	+	0.140534i
$996$	−32.9924	+	23.9704i	−1.04540	+	0.759530i
$997$	7.07461	+	21.7734i	0.224055	+	0.689571i	0.998386	+	0.0567903i	$0.0180866\pi$
$997$	7.07461	+	21.7734i	0.224055	+	0.689571i	−0.774331	+	0.632781i	$0.781913\pi$
$998$	24.2665	−	74.6846i	0.768143	−	2.36410i
$999$	6.68123	+	4.85420i	0.211385	+	0.153580i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.g.m.81.2		8
11.2	odd	10		605.2.g.k.511.2		8
11.3	even	5	inner	605.2.g.m.366.2		8
11.4	even	5		55.2.g.b.31.1	yes	8
11.5	even	5		605.2.a.j.1.1		4
11.6	odd	10		605.2.a.k.1.4		4
11.7	odd	10		605.2.g.k.251.2		8
11.8	odd	10		605.2.g.e.366.1		8
11.9	even	5		55.2.g.b.16.1	✓	8
11.10	odd	2		605.2.g.e.81.1		8
33.5	odd	10		5445.2.a.bp.1.4		4
33.17	even	10		5445.2.a.bi.1.1		4
33.20	odd	10		495.2.n.e.181.2		8
33.26	odd	10		495.2.n.e.361.2		8
44.15	odd	10		880.2.bo.h.801.2		8
44.27	odd	10		9680.2.a.cn.1.1		4
44.31	odd	10		880.2.bo.h.401.2		8
44.39	even	10		9680.2.a.cm.1.1		4
55.4	even	10		275.2.h.a.251.2		8
55.9	even	10		275.2.h.a.126.2		8
55.37	odd	20		275.2.z.a.174.1		16
55.39	odd	10		3025.2.a.w.1.1		4
55.42	odd	20		275.2.z.a.49.4		16
55.48	odd	20		275.2.z.a.174.4		16
55.49	even	10		3025.2.a.bd.1.4		4
55.53	odd	20		275.2.z.a.49.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.g.b.16.1	✓	8	11.9	even	5
55.2.g.b.31.1	yes	8	11.4	even	5
275.2.h.a.126.2		8	55.9	even	10
275.2.h.a.251.2		8	55.4	even	10
275.2.z.a.49.1		16	55.53	odd	20
275.2.z.a.49.4		16	55.42	odd	20
275.2.z.a.174.1		16	55.37	odd	20
275.2.z.a.174.4		16	55.48	odd	20
495.2.n.e.181.2		8	33.20	odd	10
495.2.n.e.361.2		8	33.26	odd	10
605.2.a.j.1.1		4	11.5	even	5
605.2.a.k.1.4		4	11.6	odd	10
605.2.g.e.81.1		8	11.10	odd	2
605.2.g.e.366.1		8	11.8	odd	10
605.2.g.k.251.2		8	11.7	odd	10
605.2.g.k.511.2		8	11.2	odd	10
605.2.g.m.81.2		8	1.1	even	1	trivial
605.2.g.m.366.2		8	11.3	even	5	inner
880.2.bo.h.401.2		8	44.31	odd	10
880.2.bo.h.801.2		8	44.15	odd	10
3025.2.a.w.1.1		4	55.39	odd	10
3025.2.a.bd.1.4		4	55.49	even	10
5445.2.a.bi.1.1		4	33.17	even	10
5445.2.a.bp.1.4		4	33.5	odd	10
9680.2.a.cm.1.1		4	44.39	even	10
9680.2.a.cn.1.1		4	44.27	odd	10

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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.g (of order \(5\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(1.69513 + 1.23158i) q^{2} +(0.591149 - 1.81937i) q^{3} +(0.738630 + 2.27327i) q^{4} +(0.809017 - 0.587785i) q^{5} +(3.24278 - 2.35601i) q^{6} +(-0.947813 - 2.91707i) q^{7} +(-0.252684 + 0.777682i) q^{8} +(-0.533593 - 0.387678i) q^{9} +O(q^{10})\)	\(q+(1.69513 + 1.23158i) q^{2} +(0.591149 - 1.81937i) q^{3} +(0.738630 + 2.27327i) q^{4} +(0.809017 - 0.587785i) q^{5} +(3.24278 - 2.35601i) q^{6} +(-0.947813 - 2.91707i) q^{7} +(-0.252684 + 0.777682i) q^{8} +(-0.533593 - 0.387678i) q^{9} +2.09529 q^{10} +4.57255 q^{12} +(-2.46735 - 1.79264i) q^{13} +(1.98595 - 6.11211i) q^{14} +(-0.591149 - 1.81937i) q^{15} +(2.48141 - 1.80285i) q^{16} +(0.375259 - 0.272641i) q^{17} +(-0.427051 - 1.31433i) q^{18} +(-2.43988 + 7.50919i) q^{19} +(1.93376 + 1.40496i) q^{20} -5.86752 q^{21} -1.39026 q^{23} +(1.26552 + 0.919451i) q^{24} +(0.309017 - 0.951057i) q^{25} +(-1.97470 - 6.07750i) q^{26} +(3.62218 - 2.63167i) q^{27} +(5.93120 - 4.30927i) q^{28} +(1.15004 + 3.53947i) q^{29} +(1.23863 - 3.81211i) q^{30} +(8.47564 + 6.15791i) q^{31} +8.06206 q^{32} +0.971892 q^{34} +(-2.48141 - 1.80285i) q^{35} +(0.487169 - 1.49935i) q^{36} +(0.569992 + 1.75425i) q^{37} +(-13.3841 + 9.72412i) q^{38} +(-4.72004 + 3.42931i) q^{39} +(0.252684 + 0.777682i) q^{40} +(-1.36203 + 4.19190i) q^{41} +(-9.94619 - 7.22633i) q^{42} -1.31478 q^{43} -0.659557 q^{45} +(-2.35666 - 1.71222i) q^{46} +(-0.920927 + 2.83432i) q^{47} +(-1.81316 - 5.58034i) q^{48} +(-1.94781 + 1.41517i) q^{49} +(1.69513 - 1.23158i) q^{50} +(-0.274201 - 0.843905i) q^{51} +(2.25268 - 6.93305i) q^{52} +(-3.38828 - 2.46173i) q^{53} +9.38118 q^{54} +2.50805 q^{56} +(12.2196 + 8.87809i) q^{57} +(-2.40968 + 7.41623i) q^{58} +(0.869890 + 2.67725i) q^{59} +(3.69927 - 2.68768i) q^{60} +(1.63209 - 1.18578i) q^{61} +(6.78332 + 20.8769i) q^{62} +(-0.625136 + 1.92397i) q^{63} +(8.70342 + 6.32340i) q^{64} -3.04981 q^{65} -6.75753 q^{67} +(0.896964 + 0.651683i) q^{68} +(-0.821848 + 2.52939i) q^{69} +(-1.98595 - 6.11211i) q^{70} +(5.27637 - 3.83351i) q^{71} +(0.436320 - 0.317005i) q^{72} +(-3.05179 - 9.39245i) q^{73} +(-1.19430 + 3.67568i) q^{74} +(-1.54765 - 1.12443i) q^{75} -18.8726 q^{76} -12.2245 q^{78} +(9.35051 + 6.79354i) q^{79} +(0.947813 - 2.91707i) q^{80} +(-3.25817 - 10.0276i) q^{81} +(-7.47150 + 5.42836i) q^{82} +(-7.21531 + 5.24223i) q^{83} +(-4.33392 - 13.3384i) q^{84} +(0.143336 - 0.441143i) q^{85} +(-2.22872 - 1.61926i) q^{86} +7.11945 q^{87} -6.76978 q^{89} +(-1.11803 - 0.812299i) q^{90} +(-2.89065 + 8.89651i) q^{91} +(-1.02689 - 3.16043i) q^{92} +(16.2139 - 11.7801i) q^{93} +(-5.05179 + 3.67034i) q^{94} +(2.43988 + 7.50919i) q^{95} +(4.76588 - 14.6679i) q^{96} +(-12.4219 - 9.02506i) q^{97} -5.04469 q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 3 q^{2} + 5 q^{3} + 3 q^{4} + 2 q^{5} + 8 q^{6} + 4 q^{7} - q^{8} + 5 q^{9}+O(q^{10}) \) 8 * q + 3 * q^2 + 5 * q^3 + 3 * q^4 + 2 * q^5 + 8 * q^6 + 4 * q^7 - q^8 + 5 * q^9	\( 8 q + 3 q^{2} + 5 q^{3} + 3 q^{4} + 2 q^{5} + 8 q^{6} + 4 q^{7} - q^{8} + 5 q^{9} + 2 q^{10} + 16 q^{12} + 3 q^{13} + 14 q^{14} - 5 q^{15} - q^{16} + 12 q^{17} + 10 q^{18} + 5 q^{19} + 2 q^{20} - 20 q^{21} + 10 q^{23} - 2 q^{24} - 2 q^{25} + 5 q^{26} + 5 q^{27} + 19 q^{28} + 21 q^{29} + 7 q^{30} + 15 q^{31} + 16 q^{32} + 4 q^{34} + q^{35} + 15 q^{36} - 31 q^{37} - 20 q^{38} - 14 q^{39} + q^{40} + 3 q^{41} - 21 q^{42} - 38 q^{43} - 7 q^{46} - 5 q^{47} + 5 q^{48} - 4 q^{49} + 3 q^{50} + 6 q^{51} + 17 q^{52} - 2 q^{53} + 16 q^{54} + 22 q^{56} + 40 q^{57} + 2 q^{58} + 18 q^{59} + 4 q^{60} + 6 q^{61} - 5 q^{62} - 30 q^{63} + 29 q^{64} + 2 q^{65} - 38 q^{67} - 14 q^{68} + 9 q^{69} - 14 q^{70} + 15 q^{71} + 5 q^{72} - 2 q^{73} - 20 q^{74} - 5 q^{75} - 16 q^{78} - 3 q^{79} - 4 q^{80} - 12 q^{81} - 22 q^{82} - 38 q^{83} - 17 q^{84} + 13 q^{85} + 2 q^{86} + 38 q^{87} - 16 q^{89} - 36 q^{91} + q^{92} + 40 q^{93} - 18 q^{94} - 5 q^{95} - 17 q^{96} - 56 q^{97} + 16 q^{98}+O(q^{100}) \) 8 * q + 3 * q^2 + 5 * q^3 + 3 * q^4 + 2 * q^5 + 8 * q^6 + 4 * q^7 - q^8 + 5 * q^9 + 2 * q^10 + 16 * q^12 + 3 * q^13 + 14 * q^14 - 5 * q^15 - q^16 + 12 * q^17 + 10 * q^18 + 5 * q^19 + 2 * q^20 - 20 * q^21 + 10 * q^23 - 2 * q^24 - 2 * q^25 + 5 * q^26 + 5 * q^27 + 19 * q^28 + 21 * q^29 + 7 * q^30 + 15 * q^31 + 16 * q^32 + 4 * q^34 + q^35 + 15 * q^36 - 31 * q^37 - 20 * q^38 - 14 * q^39 + q^40 + 3 * q^41 - 21 * q^42 - 38 * q^43 - 7 * q^46 - 5 * q^47 + 5 * q^48 - 4 * q^49 + 3 * q^50 + 6 * q^51 + 17 * q^52 - 2 * q^53 + 16 * q^54 + 22 * q^56 + 40 * q^57 + 2 * q^58 + 18 * q^59 + 4 * q^60 + 6 * q^61 - 5 * q^62 - 30 * q^63 + 29 * q^64 + 2 * q^65 - 38 * q^67 - 14 * q^68 + 9 * q^69 - 14 * q^70 + 15 * q^71 + 5 * q^72 - 2 * q^73 - 20 * q^74 - 5 * q^75 - 16 * q^78 - 3 * q^79 - 4 * q^80 - 12 * q^81 - 22 * q^82 - 38 * q^83 - 17 * q^84 + 13 * q^85 + 2 * q^86 + 38 * q^87 - 16 * q^89 - 36 * q^91 + q^92 + 40 * q^93 - 18 * q^94 - 5 * q^95 - 17 * q^96 - 56 * q^97 + 16 * q^98

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