LMFDB - Embedded newform 529.2.c.o.266.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [529,2,Mod(118,529)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(529, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("529.118");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, 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:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$2$ over $\Q(\zeta_{11})$
Coefficient field:	20.0.54296067514572573056640625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - x^{19} + 2 x^{18} - 3 x^{17} + 5 x^{16} - 8 x^{15} + 13 x^{14} - 21 x^{13} + 34 x^{12} + \cdots + 1 $ x^20 - x^19 + 2x^18 - 3x^17 + 5x^16 - 8x^15 + 13x^14 - 21x^13 + 34x^12 - 55x^11 + 89x^10 + 55x^9 + 34x^8 + 21x^7 + 13x^6 + 8x^5 + 5x^4 + 3x^3 + 2*x^2 + x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			266.1
Root			$-0.592999 + 0.174120i$ of defining polynomial
Character	$\chi$	$=$	529.266
Dual form			529.2.c.o.177.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.404726 - 0.467079i) q^{2} +(-1.88110 - 1.20891i) q^{3} +(0.230270 - 1.60156i) q^{4} +(0.513481 - 1.12437i) q^{5} +(0.196674 + 1.36790i) q^{6} +(-3.10498 - 0.911706i) q^{7} +(-1.88110 + 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +O(q^{10})$	\(q+(-0.404726 - 0.467079i) q^{2} +(-1.88110 - 1.20891i) q^{3} +(0.230270 - 1.60156i) q^{4} +(0.513481 - 1.12437i) q^{5} +(0.196674 + 1.36790i) q^{6} +(-3.10498 - 0.911706i) q^{7} +(-1.88110 + 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +(-0.732987 + 0.215225i) q^{10} +(3.42890 - 3.95716i) q^{11} +(-2.36931 + 2.73433i) q^{12} +(-2.87848 + 0.845198i) q^{13} +(0.830830 + 1.81926i) q^{14} +(-2.32517 + 1.49429i) q^{15} +(-1.77900 - 0.522361i) q^{16} +(-0.108719 - 0.756156i) q^{17} +(0.513481 - 1.12437i) q^{18} +(0.284630 - 1.97964i) q^{19} +(-1.68251 - 1.08128i) q^{20} +(4.73862 + 5.46866i) q^{21} -3.23607 q^{22} +5.00000 q^{24} +(2.27377 + 2.62407i) q^{25} +(1.55977 + 1.00240i) q^{26} +(-0.318226 + 2.21331i) q^{27} +(-2.17514 + 4.76289i) q^{28} +(0.426945 + 2.96946i) q^{29} +(1.63901 + 0.481257i) q^{30} +(5.64330 - 3.62673i) q^{31} +(2.33382 + 5.11034i) q^{32} +(-11.2339 + 3.29858i) q^{33} +(-0.309183 + 0.356817i) q^{34} +(-2.61944 + 3.02300i) q^{35} +(3.10498 - 0.911706i) q^{36} +(-0.513481 - 1.12437i) q^{37} +(-1.03985 + 0.668269i) q^{38} +(6.43647 + 1.88992i) q^{39} +(0.393349 + 2.73580i) q^{40} +(-1.44238 + 3.15837i) q^{41} +(0.636451 - 4.42662i) q^{42} +(-5.54807 - 6.40281i) q^{44} +2.47214 q^{45} -2.23607 q^{47} +(2.71499 + 3.13326i) q^{48} +(2.92095 + 1.87718i) q^{49} +(0.305393 - 2.12406i) q^{50} +(-0.709614 + 1.55384i) q^{51} +(0.690811 + 4.80469i) q^{52} +(-0.453011 - 0.133016i) q^{53} +(1.16258 - 0.747147i) q^{54} +(-2.68862 - 5.88726i) q^{55} +(6.94296 - 2.03864i) q^{56} +(-2.92863 + 3.37981i) q^{57} +(1.21418 - 1.40124i) q^{58} +(-6.20997 + 1.82341i) q^{59} +(1.85779 + 4.06800i) q^{60} +(-5.84189 + 3.75436i) q^{61} +(-3.97796 - 1.16803i) q^{62} +(-0.921081 - 6.40626i) q^{63} +(-0.0980662 + 0.214735i) q^{64} +(-0.527732 + 3.67046i) q^{65} +(6.08737 + 3.91211i) q^{66} +(1.80999 + 2.08884i) q^{67} -1.23607 q^{68} +2.47214 q^{70} +(-8.01292 - 9.24740i) q^{71} +(-3.76220 - 2.41782i) q^{72} +(-0.929012 + 6.46142i) q^{73} +(-0.317349 + 0.694897i) q^{74} +(-1.10492 - 7.68491i) q^{75} +(-3.10498 - 0.911706i) q^{76} +(-14.2544 + 9.16077i) q^{77} +(-1.72227 - 3.77124i) q^{78} +(10.5010 - 3.08336i) q^{79} +(-1.50081 + 1.73202i) q^{80} +(7.20347 - 8.31325i) q^{81} +(2.05897 - 0.604569i) q^{82} +(-3.64067 - 7.97195i) q^{83} +(9.84957 - 6.32993i) q^{84} +(-0.906022 - 0.266032i) q^{85} +(2.78669 - 6.10200i) q^{87} +(-1.66625 + 11.5890i) q^{88} +(-8.80972 - 5.66166i) q^{89} +(-1.00054 - 1.15468i) q^{90} +9.70820 q^{91} -15.0000 q^{93} +(0.904995 + 1.04442i) q^{94} +(-2.07969 - 1.33654i) q^{95} +(1.78780 - 12.4344i) q^{96} +(7.35625 - 16.1079i) q^{97} +(-0.305393 - 2.12406i) q^{98} +(10.0479 + 2.95034i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9}+O(q^{10}) $ 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9	$ 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{11} - 5 q^{12} - 6 q^{13} - 4 q^{14} + 10 q^{15} + 3 q^{16} - 6 q^{17} + 2 q^{18} + 4 q^{19} + 4 q^{20} + 10 q^{21} - 20 q^{22} + 100 q^{24} - 2 q^{25} + 3 q^{26} + 6 q^{28} + 6 q^{29} - 10 q^{30} - 9 q^{32} - 10 q^{33} + 8 q^{34} - 8 q^{35} + 2 q^{36} - 2 q^{37} - 2 q^{38} + 10 q^{40} - 2 q^{41} - 8 q^{44} - 40 q^{45} + 15 q^{48} + 2 q^{49} + 11 q^{50} - 10 q^{51} + 3 q^{52} + 8 q^{53} - 5 q^{54} + 4 q^{55} + 10 q^{56} - 3 q^{58} - 4 q^{59} - 4 q^{61} - 15 q^{62} - 4 q^{63} - 4 q^{64} + 6 q^{65} - 10 q^{66} + 10 q^{67} + 20 q^{68} - 40 q^{70} - 20 q^{71} - 22 q^{73} + 6 q^{74} - 20 q^{75} - 2 q^{76} + 16 q^{77} + 15 q^{78} + 4 q^{79} - 18 q^{80} + 22 q^{81} + 11 q^{82} + 22 q^{83} - 10 q^{84} + 16 q^{85} - 10 q^{88} + 12 q^{89} - 12 q^{90} + 60 q^{91} - 300 q^{93} + 5 q^{94} - 4 q^{95} + 5 q^{96} - 22 q^{97} - 11 q^{98} + 12 q^{99}+O(q^{100}) $ 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9 - 6 * q^10 + 6 * q^11 - 5 * q^12 - 6 * q^13 - 4 * q^14 + 10 * q^15 + 3 * q^16 - 6 * q^17 + 2 * q^18 + 4 * q^19 + 4 * q^20 + 10 * q^21 - 20 * q^22 + 100 * q^24 - 2 * q^25 + 3 * q^26 + 6 * q^28 + 6 * q^29 - 10 * q^30 - 9 * q^32 - 10 * q^33 + 8 * q^34 - 8 * q^35 + 2 * q^36 - 2 * q^37 - 2 * q^38 + 10 * q^40 - 2 * q^41 - 8 * q^44 - 40 * q^45 + 15 * q^48 + 2 * q^49 + 11 * q^50 - 10 * q^51 + 3 * q^52 + 8 * q^53 - 5 * q^54 + 4 * q^55 + 10 * q^56 - 3 * q^58 - 4 * q^59 - 4 * q^61 - 15 * q^62 - 4 * q^63 - 4 * q^64 + 6 * q^65 - 10 * q^66 + 10 * q^67 + 20 * q^68 - 40 * q^70 - 20 * q^71 - 22 * q^73 + 6 * q^74 - 20 * q^75 - 2 * q^76 + 16 * q^77 + 15 * q^78 + 4 * q^79 - 18 * q^80 + 22 * q^81 + 11 * q^82 + 22 * q^83 - 10 * q^84 + 16 * q^85 - 10 * q^88 + 12 * q^89 - 12 * q^90 + 60 * q^91 - 300 * q^93 + 5 * q^94 - 4 * q^95 + 5 * q^96 - 22 * q^97 - 11 * q^98 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−0.404726	−	0.467079i	−0.286185	−	0.330275i	0.594395	−	0.804173i	$-0.297392\pi$
$2$	−0.404726	−	0.467079i	−0.286185	−	0.330275i	−0.880579	+	0.473899i	$0.842846\pi$
$3$	−1.88110	−	1.20891i	−1.08605	−	0.697964i	−0.130106	−	0.991500i	$-0.541532\pi$
$3$	−1.88110	−	1.20891i	−1.08605	−	0.697964i	−0.955948	+	0.293536i	$0.905168\pi$
$4$	0.230270	−	1.60156i	0.115135	−	0.800782i
$5$	0.513481	−	1.12437i	0.229636	−	0.502832i	−0.759379	−	0.650648i	$-0.774497\pi$
$5$	0.513481	−	1.12437i	0.229636	−	0.502832i	0.989015	+	0.147816i	$0.0472244\pi$
$6$	0.196674	+	1.36790i	0.0802919	+	0.558443i
$7$	−3.10498	−	0.911706i	−1.17357	−	0.344592i	−0.363881	−	0.931446i	$-0.618548\pi$
$7$	−3.10498	−	0.911706i	−1.17357	−	0.344592i	−0.809693	+	0.586853i	$0.800367\pi$
$8$	−1.88110	+	1.20891i	−0.665069	+	0.427414i
$9$	0.830830	+	1.81926i	0.276943	+	0.606421i
$10$	−0.732987	+	0.215225i	−0.231791	+	0.0680600i
$11$	3.42890	−	3.95716i	1.03385	−	1.19313i	0.0529544	−	0.998597i	$-0.483136\pi$
$11$	3.42890	−	3.95716i	1.03385	−	1.19313i	0.980896	−	0.194531i	$-0.0623183\pi$
$12$	−2.36931	+	2.73433i	−0.683960	+	0.789332i
$13$	−2.87848	+	0.845198i	−0.798346	+	0.234416i	−0.655368	−	0.755310i	$-0.727486\pi$
$13$	−2.87848	+	0.845198i	−0.798346	+	0.234416i	−0.142979	+	0.989726i	$0.545668\pi$
$14$	0.830830	+	1.81926i	0.222049	+	0.486219i
$15$	−2.32517	+	1.49429i	−0.600356	+	0.385825i
$16$	−1.77900	−	0.522361i	−0.444749	−	0.130590i
$17$	−0.108719	−	0.756156i	−0.0263682	−	0.183395i	0.972381	−	0.233400i	$-0.0749852\pi$
$17$	−0.108719	−	0.756156i	−0.0263682	−	0.183395i	−0.998749	+	0.0500054i	$0.984076\pi$
$18$	0.513481	−	1.12437i	0.121029	−	0.265016i
$19$	0.284630	−	1.97964i	0.0652985	−	0.454161i	−0.930772	−	0.365600i	$-0.880864\pi$
$19$	0.284630	−	1.97964i	0.0652985	−	0.454161i	0.996071	−	0.0885615i	$-0.0282270\pi$
$20$	−1.68251	−	1.08128i	−0.376220	−	0.241782i
$21$	4.73862	+	5.46866i	1.03405	+	1.19336i
$22$	−3.23607			−0.689932
$23$		0			0
$23$		0			0
$24$	5.00000			1.02062
$25$	2.27377	+	2.62407i	0.454753	+	0.524813i
$26$	1.55977	+	1.00240i	0.305896	+	0.196587i
$27$	−0.318226	+	2.21331i	−0.0612426	+	0.425951i
$28$	−2.17514	+	4.76289i	−0.411063	+	0.900103i
$29$	0.426945	+	2.96946i	0.0792816	+	0.551416i	0.990289	+	0.139025i	$0.0443969\pi$
$29$	0.426945	+	2.96946i	0.0792816	+	0.551416i	−0.911007	+	0.412390i	$0.864694\pi$
$30$	1.63901	+	0.481257i	0.299241	+	0.0878650i
$31$	5.64330	−	3.62673i	1.01357	−	0.651380i	0.0752528	−	0.997164i	$-0.476024\pi$
$31$	5.64330	−	3.62673i	1.01357	−	0.651380i	0.938314	+	0.345785i	$0.112387\pi$
$32$	2.33382	+	5.11034i	0.412564	+	0.903390i
$33$	−11.2339	+	3.29858i	−1.95558	+	0.574209i
$34$	−0.309183	+	0.356817i	−0.0530245	+	0.0611935i
$35$	−2.61944	+	3.02300i	−0.442767	+	0.510980i
$36$	3.10498	−	0.911706i	0.517497	−	0.151951i
$37$	−0.513481	−	1.12437i	−0.0844158	−	0.184845i	0.862717	−	0.505688i	$-0.168761\pi$
$37$	−0.513481	−	1.12437i	−0.0844158	−	0.184845i	−0.947132	+	0.320843i	$0.896034\pi$
$38$	−1.03985	+	0.668269i	−0.168685	+	0.108408i
$39$	6.43647	+	1.88992i	1.03066	+	0.302629i
$40$	0.393349	+	2.73580i	0.0621939	+	0.432568i
$41$	−1.44238	+	3.15837i	−0.225262	+	0.493254i	−0.988191	−	0.153228i	$-0.951033\pi$
$41$	−1.44238	+	3.15837i	−0.225262	+	0.493254i	0.762929	+	0.646482i	$0.223760\pi$
$42$	0.636451	−	4.42662i	0.0982066	−	0.683042i
$43$		0			0		0.540641	−	0.841254i	$-0.318182\pi$
$43$		0			0		−0.540641	+	0.841254i	$0.681818\pi$
$44$	−5.54807	−	6.40281i	−0.836403	−	0.965260i
$45$	2.47214			0.368524
$46$		0			0
$47$	−2.23607			−0.326164			−0.163082	−	0.986613i	$-0.552144\pi$
$47$	−2.23607			−0.326164			−0.163082	+	0.986613i	$0.552144\pi$
$48$	2.71499	+	3.13326i	0.391874	+	0.452247i
$49$	2.92095	+	1.87718i	0.417278	+	0.268168i
$50$	0.305393	−	2.12406i	0.0431891	−	0.300387i
$51$	−0.709614	+	1.55384i	−0.0993658	+	0.217581i
$52$	0.690811	+	4.80469i	0.0957982	+	0.666291i
$53$	−0.453011	−	0.133016i	−0.0622259	−	0.0182712i	0.250471	−	0.968124i	$-0.419414\pi$
$53$	−0.453011	−	0.133016i	−0.0622259	−	0.0182712i	−0.312697	+	0.949853i	$0.601233\pi$
$54$	1.16258	−	0.747147i	0.158208	−	0.101674i
$55$	−2.68862	−	5.88726i	−0.362534	−	0.793838i
$56$	6.94296	−	2.03864i	0.927792	−	0.272424i
$57$	−2.92863	+	3.37981i	−0.387906	+	0.447667i
$58$	1.21418	−	1.40124i	0.159429	−	0.183991i
$59$	−6.20997	+	1.82341i	−0.808469	+	0.237388i	−0.659744	−	0.751491i	$-0.729335\pi$
$59$	−6.20997	+	1.82341i	−0.808469	+	0.237388i	−0.148725	+	0.988879i	$0.547517\pi$
$60$	1.85779	+	4.06800i	0.239840	+	0.525176i
$61$	−5.84189	+	3.75436i	−0.747978	+	0.480696i	−0.858267	−	0.513203i	$-0.828459\pi$
$61$	−5.84189	+	3.75436i	−0.747978	+	0.480696i	0.110289	+	0.993900i	$0.464822\pi$
$62$	−3.97796	−	1.16803i	−0.505201	−	0.148341i
$63$	−0.921081	−	6.40626i	−0.116045	−	0.807113i
$64$	−0.0980662	+	0.214735i	−0.0122583	+	0.0268419i
$65$	−0.527732	+	3.67046i	−0.0654572	+	0.455265i
$66$	6.08737	+	3.91211i	0.749303	+	0.481548i
$67$	1.80999	+	2.08884i	0.221126	+	0.255192i	0.855463	−	0.517864i	$-0.173273\pi$
$67$	1.80999	+	2.08884i	0.221126	+	0.255192i	−0.634338	+	0.773056i	$0.718727\pi$
$68$	−1.23607			−0.149895
$69$		0			0
$70$	2.47214			0.295477
$71$	−8.01292	−	9.24740i	−0.950959	−	1.09746i	−0.995143	−	0.0984414i	$-0.968614\pi$
$71$	−8.01292	−	9.24740i	−0.950959	−	1.09746i	0.0441841	−	0.999023i	$-0.485931\pi$
$72$	−3.76220	−	2.41782i	−0.443380	−	0.284943i
$73$	−0.929012	+	6.46142i	−0.108733	+	0.756252i	0.860384	+	0.509647i	$0.170224\pi$
$73$	−0.929012	+	6.46142i	−0.108733	+	0.756252i	−0.969116	+	0.246605i	$0.920685\pi$
$74$	−0.317349	+	0.694897i	−0.0368911	+	0.0807801i
$75$	−1.10492	−	7.68491i	−0.127585	−	0.887377i
$76$	−3.10498	−	0.911706i	−0.356166	−	0.104580i
$77$	−14.2544	+	9.16077i	−1.62444	+	1.04397i
$78$	−1.72227	−	3.77124i	−0.195008	−	0.427009i
$79$	10.5010	−	3.08336i	1.18145	−	0.346905i	0.368717	−	0.929542i	$-0.379797\pi$
$79$	10.5010	−	3.08336i	1.18145	−	0.346905i	0.812733	+	0.582637i	$0.197979\pi$
$80$	−1.50081	+	1.73202i	−0.167795	+	0.193646i
$81$	7.20347	−	8.31325i	0.800385	−	0.923694i
$82$	2.05897	−	0.604569i	0.227376	−	0.0667635i
$83$	−3.64067	−	7.97195i	−0.399615	−	0.875036i	−0.997309	−	0.0733110i	$-0.976643\pi$
$83$	−3.64067	−	7.97195i	−0.399615	−	0.875036i	0.597694	−	0.801724i	$-0.296084\pi$
$84$	9.84957	−	6.32993i	1.07468	−	0.690652i
$85$	−0.906022	−	0.266032i	−0.0982719	−	0.0288552i
$86$		0			0
$87$	2.78669	−	6.10200i	0.298764	−	0.654203i
$88$	−1.66625	+	11.5890i	−0.177623	+	1.23539i
$89$	−8.80972	−	5.66166i	−0.933829	−	0.600135i	−0.0171900	−	0.999852i	$-0.505472\pi$
$89$	−8.80972	−	5.66166i	−0.933829	−	0.600135i	−0.916639	+	0.399717i	$0.869108\pi$
$90$	−1.00054	−	1.15468i	−0.105466	−	0.121714i
$91$	9.70820			1.01770
$92$		0			0
$93$	−15.0000			−1.55543
$94$	0.904995	+	1.04442i	0.0933431	+	0.107724i
$95$	−2.07969	−	1.33654i	−0.213372	−	0.137126i
$96$	1.78780	−	12.4344i	0.182467	−	1.26908i
$97$	7.35625	−	16.1079i	0.746914	−	1.63551i	−0.0249189	−	0.999689i	$-0.507933\pi$
$97$	7.35625	−	16.1079i	0.746914	−	1.63551i	0.771833	−	0.635825i	$-0.219340\pi$
$98$	−0.305393	−	2.12406i	−0.0308494	−	0.214562i
$99$	10.0479	+	2.95034i	1.00986	+	0.296520i
$100$	4.72619	−	3.03734i	0.472619	−	0.303734i
$101$	1.85779	+	4.06800i	0.184857	+	0.404781i	0.979259	−	0.202611i	$-0.0649429\pi$
$101$	1.85779	+	4.06800i	0.184857	+	0.404781i	−0.794402	+	0.607392i	$0.792216\pi$
$102$	1.01296	−	0.297433i	0.100298	−	0.0294503i
$103$	2.73754	−	3.15929i	0.269738	−	0.311294i	−0.604679	−	0.796469i	$-0.706699\pi$
$103$	2.73754	−	3.15929i	0.269738	−	0.311294i	0.874417	+	0.485175i	$0.161244\pi$
$104$	4.39294	−	5.06972i	0.430763	−	0.497127i
$105$	8.58197	−	2.51989i	0.837514	−	0.245916i
$106$	0.121216	+	0.265427i	0.0117736	+	0.0257806i
$107$	11.2866	−	7.25346i	1.09112	−	0.701218i	0.134018	−	0.990979i	$-0.457212\pi$
$107$	11.2866	−	7.25346i	1.09112	−	0.701218i	0.957099	+	0.289761i	$0.0935757\pi$
$108$	3.47148	+	1.01932i	0.334043	+	0.0980839i
$109$		0			0		0.989821	−	0.142315i	$-0.0454545\pi$
$109$		0			0		−0.989821	+	0.142315i	$0.954545\pi$
$110$	−1.66166	+	3.63853i	−0.158433	+	0.346920i
$111$	−0.393349	+	2.73580i	−0.0373350	+	0.259671i
$112$	5.04752	+	3.24384i	0.476946	+	0.306515i
$113$	−5.73915	−	6.62334i	−0.539894	−	0.623071i	0.418604	−	0.908169i	$-0.362519\pi$
$113$	−5.73915	−	6.62334i	−0.539894	−	0.623071i	−0.958499	+	0.285098i	$0.907974\pi$
$114$	2.76393			0.258866
$115$		0			0
$116$	4.85410			0.450692
$117$	−3.92916	−	4.53450i	−0.363251	−	0.419214i
$118$	3.36501	+	2.16256i	0.309775	+	0.199080i
$119$	−0.351822	+	2.44697i	−0.0322514	+	0.224314i
$120$	2.56741	−	5.62183i	0.234371	−	0.513201i
$121$	−2.33630	−	16.2493i	−0.212391	−	1.47721i
$122$	4.11795	+	1.20914i	0.372822	+	0.109470i
$123$	6.53144	−	4.19750i	0.588920	−	0.378476i
$124$	−4.50896	−	9.87324i	−0.404916	−	0.886643i
$125$	10.0479	−	2.95034i	0.898715	−	0.263887i
$126$	−2.61944	+	3.02300i	−0.233359	+	0.269310i
$127$	4.77511	−	5.51077i	0.423723	−	0.489002i	−0.503245	−	0.864144i	$-0.667861\pi$
$127$	4.77511	−	5.51077i	0.423723	−	0.489002i	0.926967	+	0.375142i	$0.122406\pi$
$128$	10.9209	−	3.20667i	0.965282	−	0.283432i
$129$		0			0
$130$	1.92798	−	1.23904i	0.169095	−	0.108671i
$131$	−17.9504	−	5.27071i	−1.56833	−	0.460504i	−0.621817	−	0.783162i	$-0.713605\pi$
$131$	−17.9504	−	5.27071i	−1.56833	−	0.460504i	−0.946516	+	0.322658i	$0.895424\pi$
$132$	2.69605	+	18.7514i	0.234661	+	1.63210i
$133$	−2.68862	+	5.88726i	−0.233133	+	0.510490i
$134$	0.243103	−	1.69082i	0.0210009	−	0.146064i
$135$	2.32517	+	1.49429i	0.200119	+	0.128608i
$136$	1.11864	+	1.29097i	0.0959222	+	0.110700i
$137$	−21.8885			−1.87006			−0.935032	−	0.354563i	$-0.884630\pi$
$137$	−21.8885			−1.87006			−0.935032	+	0.354563i	$0.884630\pi$
$138$		0			0
$139$	−10.7082			−0.908258			−0.454129	−	0.890936i	$-0.650049\pi$
$139$	−10.7082			−0.908258			−0.454129	+	0.890936i	$0.650049\pi$
$140$	4.23835	+	4.89131i	0.358206	+	0.413391i
$141$	4.20627	+	2.70320i	0.354232	+	0.227651i
$142$	−1.07623	+	7.48533i	−0.0903151	+	0.628155i
$143$	−6.52542	+	14.2887i	−0.545683	+	1.19488i
$144$	−0.527732	−	3.67046i	−0.0439777	−	0.305872i
$145$	3.55800	+	1.04472i	0.295475	+	0.0867594i
$146$	3.39399	−	2.18118i	0.280888	−	0.180516i
$147$	−3.22525	−	7.06232i	−0.266014	−	0.582490i
$148$	−1.91899	+	0.563465i	−0.157740	+	0.0463165i
$149$	−15.6437	+	18.0538i	−1.28158	+	1.47902i	−0.484965	+	0.874534i	$0.661168\pi$
$149$	−15.6437	+	18.0538i	−1.28158	+	1.47902i	−0.796614	+	0.604488i	$0.793378\pi$
$150$	−3.14227	+	3.62637i	−0.256565	+	0.296092i
$151$	−4.06448	+	1.19344i	−0.330762	+	0.0971206i	−0.442897	−	0.896572i	$-0.646049\pi$
$151$	−4.06448	+	1.19344i	−0.330762	+	0.0971206i	0.112135	+	0.993693i	$0.464231\pi$
$152$	1.85779	+	4.06800i	0.150687	+	0.329958i
$153$	1.28532	−	0.826026i	0.103912	−	0.0667802i
$154$	10.0479	+	2.95034i	0.809686	+	0.237745i
$155$	−1.18005	−	8.20740i	−0.0947835	−	0.659234i
$156$	4.50896	−	9.87324i	0.361005	−	0.790492i
$157$	1.62472	−	11.3002i	0.129667	−	0.901855i	−0.816308	−	0.577616i	$-0.803983\pi$
$157$	1.62472	−	11.3002i	0.129667	−	0.901855i	0.945975	−	0.324238i	$-0.105108\pi$
$158$	−5.69018	−	3.65686i	−0.452687	−	0.290924i
$159$	0.691355	+	0.797866i	0.0548280	+	0.0632749i
$160$	6.94427			0.548993
$161$		0			0
$162$	−6.79837			−0.534131
$163$	3.77457	+	4.35609i	0.295647	+	0.341195i	0.884067	−	0.467361i	$-0.154795\pi$
$163$	3.77457	+	4.35609i	0.295647	+	0.341195i	−0.588419	+	0.808556i	$0.700250\pi$
$164$	4.72619	+	3.03734i	0.369054	+	0.237176i
$165$	−2.05960	+	14.3248i	−0.160340	+	1.11519i
$166$	−2.25006	+	4.92694i	−0.174638	+	0.382405i
$167$	−0.217438	−	1.51231i	−0.0168258	−	0.117026i	0.979678	−	0.200579i	$-0.0642824\pi$
$167$	−0.217438	−	1.51231i	−0.0168258	−	0.117026i	−0.996503	+	0.0835528i	$0.973373\pi$
$168$	−15.5249	−	4.55853i	−1.19777	−	0.351698i
$169$	−3.36501	+	2.16256i	−0.258847	+	0.166351i
$170$	0.242433	+	0.530854i	0.0185938	+	0.0407146i
$171$	3.83797	−	1.12693i	0.293497	−	0.0861785i
$172$		0			0
$173$	−15.0253	+	17.3401i	−1.14235	+	1.31835i	−0.201516	+	0.979485i	$0.564587\pi$
$173$	−15.0253	+	17.3401i	−1.14235	+	1.31835i	−0.940837	+	0.338860i	$0.889959\pi$
$174$	−3.97796	+	1.16803i	−0.301568	+	0.0885485i
$175$	−4.66763	−	10.2207i	−0.352840	−	0.772611i
$176$	−8.16706	+	5.24865i	−0.615615	+	0.395632i
$177$	13.8859	+	4.07727i	1.04373	+	0.306467i
$178$	0.921081	+	6.40626i	0.0690379	+	0.480169i
$179$	0.294199	−	0.644205i	0.0219894	−	0.0481501i	−0.898319	−	0.439345i	$-0.855211\pi$
$179$	0.294199	−	0.644205i	0.0219894	−	0.0481501i	0.920308	+	0.391194i	$0.127938\pi$
$180$	0.569259	−	3.95929i	0.0424301	−	0.295108i
$181$	14.0090	+	9.00301i	1.04128	+	0.669188i	0.945302	−	0.326195i	$-0.105767\pi$
$181$	14.0090	+	9.00301i	1.04128	+	0.669188i	0.0959750	+	0.995384i	$0.469403\pi$
$182$	−3.92916	−	4.53450i	−0.291249	−	0.336119i
$183$	15.5279			1.14785
$184$		0			0
$185$	−1.52786			−0.112331
$186$	6.07089	+	7.00618i	0.445139	+	0.513718i
$187$	−3.36501	−	2.16256i	−0.246074	−	0.158142i
$188$	−0.514900	+	3.58121i	−0.0375529	+	0.261186i
$189$	3.00597	−	6.58216i	0.218652	−	0.478782i
$190$	0.217438	+	1.51231i	0.0157746	+	0.109715i
$191$	25.1199	+	7.37585i	1.81761	+	0.533698i	0.999164	−	0.0408869i	$-0.0130183\pi$
$191$	25.1199	+	7.37585i	1.81761	+	0.533698i	0.818445	+	0.574585i	$0.194837\pi$
$192$	0.444067	−	0.285385i	0.0320478	−	0.0205959i
$193$	4.13100	+	9.04563i	0.297356	+	0.651119i	0.998055	−	0.0623383i	$-0.0198558\pi$
$193$	4.13100	+	9.04563i	0.297356	+	0.651119i	−0.700699	+	0.713457i	$0.747128\pi$
$194$	−10.5010	+	3.08336i	−0.753924	+	0.221372i
$195$	5.42997	−	6.26652i	0.388848	−	0.448755i
$196$	3.67903	−	4.24583i	0.262788	−	0.303273i
$197$	1.41250	−	0.414749i	0.100637	−	0.0295496i	−0.231026	−	0.972947i	$-0.574208\pi$
$197$	1.41250	−	0.414749i	0.100637	−	0.0295496i	0.331663	+	0.943398i	$0.392390\pi$
$198$	−2.68862	−	5.88726i	−0.191072	−	0.418389i
$199$	−10.3405	+	6.64545i	−0.733020	+	0.471083i	−0.853144	−	0.521676i	$-0.825307\pi$
$199$	−10.3405	+	6.64545i	−0.733020	+	0.471083i	0.120124	+	0.992759i	$0.461671\pi$
$200$	−7.44944	−	2.18735i	−0.526755	−	0.154669i
$201$	−0.879554	−	6.11743i	−0.0620390	−	0.431490i
$202$	1.14818	−	2.51416i	0.0807856	−	0.176896i
$203$	1.38162	−	9.60939i	0.0969708	−	0.674447i
$204$	2.32517	+	1.49429i	0.162794	+	0.104622i
$205$	2.81053	+	3.24352i	0.196296	+	0.226537i
$206$	−2.58359			−0.180007
$207$		0			0
$208$	5.56231			0.385677
$209$	−6.85779	−	7.91431i	−0.474363	−	0.547444i
$210$	−4.65034	−	2.98859i	−0.320904	−	0.206232i
$211$	3.33250	−	23.1781i	0.229419	−	1.59564i	−0.471146	−	0.882055i	$-0.656160\pi$
$211$	3.33250	−	23.1781i	0.229419	−	1.59564i	0.700565	−	0.713588i	$-0.252931\pi$
$212$	−0.317349	+	0.694897i	−0.0217956	+	0.0477257i
$213$	3.89383	+	27.0822i	0.266801	+	1.85564i
$214$	−7.95592	−	2.33607i	−0.543855	−	0.159690i
$215$		0			0
$216$	−2.07708	−	4.54816i	−0.141327	−	0.309463i
$217$	−20.8289	+	6.11591i	−1.41396	+	0.415175i
$218$		0			0
$219$	9.55884	−	11.0315i	0.645926	−	0.745439i
$220$	−10.0479	+	2.95034i	−0.677432	+	0.198912i
$221$	0.952046	+	2.08469i	0.0640416	+	0.140231i
$222$	1.43703	−	0.923525i	0.0964473	−	0.0619829i
$223$	−3.83797	−	1.12693i	−0.257010	−	0.0754648i	0.150690	−	0.988581i	$-0.451851\pi$
$223$	−3.83797	−	1.12693i	−0.257010	−	0.0754648i	−0.407699	+	0.913116i	$0.633669\pi$
$224$	−2.58733	−	17.9953i	−0.172873	−	1.20236i
$225$	−2.88475	+	6.31673i	−0.192317	+	0.421115i
$226$	−0.770835	+	5.36128i	−0.0512752	+	0.356627i
$227$	−10.2468	−	6.58519i	−0.680101	−	0.437074i	0.154453	−	0.988000i	$-0.450638\pi$
$227$	−10.2468	−	6.58519i	−0.680101	−	0.437074i	−0.834554	+	0.550926i	$0.814275\pi$
$228$	4.73862	+	5.46866i	0.313823	+	0.362171i
$229$	−12.0000			−0.792982			−0.396491	−	0.918039i	$-0.629772\pi$
$229$	−12.0000			−0.792982			−0.396491	+	0.918039i	$0.629772\pi$
$230$		0			0
$231$	37.8885			2.49288
$232$	−4.39294	−	5.06972i	−0.288411	−	0.332844i
$233$	−5.49159	−	3.52923i	−0.359766	−	0.231208i	0.348254	−	0.937400i	$-0.386775\pi$
$233$	−5.49159	−	3.52923i	−0.359766	−	0.231208i	−0.708020	+	0.706193i	$0.750411\pi$
$234$	−0.527732	+	3.67046i	−0.0344989	+	0.239945i
$235$	−1.14818	+	2.51416i	−0.0748989	+	0.164006i
$236$	1.49034	+	10.3655i	0.0970129	+	0.674739i
$237$	−23.4808	−	6.89460i	−1.52524	−	0.447852i
$238$	1.28532	−	0.826026i	0.0833150	−	0.0535433i
$239$	5.71774	+	12.5201i	0.369850	+	0.809859i	0.999457	+	0.0329450i	$0.0104886\pi$
$239$	5.71774	+	12.5201i	0.369850	+	0.809859i	−0.629607	+	0.776914i	$0.716784\pi$
$240$	4.91703	−	1.44377i	0.317393	−	0.0931950i
$241$	15.1434	−	17.4764i	0.975472	−	1.12575i	−0.0165718	−	0.999863i	$-0.505275\pi$
$241$	15.1434	−	17.4764i	0.975472	−	1.12575i	0.992044	−	0.125892i	$-0.0401793\pi$
$242$	−6.64415	+	7.66776i	−0.427102	+	0.492902i
$243$	−17.1639	+	5.03979i	−1.10107	+	0.323302i
$244$	4.66763	+	10.2207i	0.298814	+	0.654312i
$245$	3.61049	−	2.32032i	0.230666	−	0.148240i
$246$	−4.60401	−	1.35186i	−0.293541	−	0.0861913i
$247$	0.853889	+	5.93893i	0.0543317	+	0.377885i
$248$	−6.23123	+	13.6445i	−0.395683	+	0.866425i
$249$	−2.78891	+	19.3973i	−0.176740	+	1.22925i
$250$	−5.44471	−	3.49910i	−0.344354	−	0.221303i
$251$	−1.50081	−	1.73202i	−0.0947301	−	0.109324i	0.706405	−	0.707808i	$-0.250316\pi$
$251$	−1.50081	−	1.73202i	−0.0947301	−	0.109324i	−0.801135	+	0.598483i	$0.795770\pi$
$252$	−10.4721			−0.659683
$253$		0			0
$254$	−4.50658			−0.282768
$255$	1.38271	+	1.59573i	0.0865886	+	0.0999286i
$256$	−5.52056	−	3.54785i	−0.345035	−	0.221741i
$257$	1.06340	−	7.39608i	0.0663328	−	0.461355i	−0.929400	−	0.369074i	$-0.879675\pi$
$257$	1.06340	−	7.39608i	0.0663328	−	0.461355i	0.995733	−	0.0922812i	$-0.0294159\pi$
$258$		0			0
$259$	0.569259	+	3.95929i	0.0353721	+	0.246018i
$260$	5.75696	+	1.69040i	0.357031	+	0.104834i
$261$	−5.04752	+	3.24384i	−0.312434	+	0.200789i
$262$	4.80316	+	10.5174i	0.296740	+	0.649770i
$263$	−2.82501	+	0.829497i	−0.174197	+	0.0511490i	−0.367668	−	0.929957i	$-0.619844\pi$
$263$	−2.82501	+	0.829497i	−0.174197	+	0.0511490i	0.193471	+	0.981106i	$0.438026\pi$
$264$	17.1445	−	19.7858i	1.05517	−	1.21773i
$265$	−0.382172	+	0.441050i	−0.0234766	+	0.0270935i
$266$	3.83797	−	1.12693i	0.235321	−	0.0690965i
$267$	9.72753	+	21.3003i	0.595315	+	1.30356i
$268$	3.76220	−	2.41782i	0.229813	−	0.147692i
$269$	7.62247	+	2.23816i	0.464750	+	0.136463i	0.505721	−	0.862697i	$-0.331227\pi$
$269$	7.62247	+	2.23816i	0.464750	+	0.136463i	−0.0409702	+	0.999160i	$0.513045\pi$
$270$	−0.243103	−	1.69082i	−0.0147948	−	0.102900i
$271$	3.32332	−	7.27706i	0.201877	−	0.442050i	−0.781432	−	0.623990i	$-0.785511\pi$
$271$	3.32332	−	7.27706i	0.201877	−	0.442050i	0.983310	+	0.181940i	$0.0582378\pi$
$272$	−0.201576	+	1.40199i	−0.0122223	+	0.0850082i
$273$	−18.2621	−	11.7363i	−1.10527	−	0.710316i
$274$	8.85887	+	10.2237i	0.535184	+	0.617635i
$275$	18.1803			1.09632
$276$		0			0
$277$	15.4721			0.929631			0.464815	−	0.885408i	$-0.346121\pi$
$277$	15.4721			0.929631			0.464815	+	0.885408i	$0.346121\pi$
$278$	4.33389	+	5.00158i	0.259929	+	0.299975i
$279$	11.2866	+	7.25346i	0.675711	+	0.434253i
$280$	1.27290	−	8.85323i	0.0760705	−	0.529082i
$281$	−3.64067	+	7.97195i	−0.217184	+	0.475567i	−0.986595	−	0.163187i	$-0.947823\pi$
$281$	−3.64067	+	7.97195i	−0.217184	+	0.475567i	0.769411	+	0.638754i	$0.220550\pi$
$282$	−0.439777	−	3.05872i	−0.0261883	−	0.182144i
$283$	−26.5858	−	7.80630i	−1.58036	−	0.464037i	−0.630367	−	0.776297i	$-0.717096\pi$
$283$	−26.5858	−	7.80630i	−1.58036	−	0.464037i	−0.949996	+	0.312261i	$0.898914\pi$
$284$	−16.6555	+	10.7038i	−0.988319	+	0.635154i
$285$	2.29636	+	5.02832i	0.136024	+	0.297852i
$286$	9.31495	−	2.73512i	0.550805	−	0.161731i
$287$	7.35806	−	8.49165i	0.434333	−	0.501246i
$288$	−7.35806	+	8.49165i	−0.433578	+	0.500375i
$289$	15.7514	−	4.62504i	0.926555	−	0.272061i
$290$	−0.952046	−	2.08469i	−0.0559061	−	0.122417i
$291$	−33.3109	+	21.4076i	−1.95272	+	1.25494i
$292$	10.1345	+	2.97575i	0.593074	+	0.174142i
$293$	0.217438	+	1.51231i	0.0127028	+	0.0883502i	0.995187	−	0.0979979i	$-0.0312439\pi$
$293$	0.217438	+	1.51231i	0.0127028	+	0.0883502i	−0.982484	+	0.186348i	$0.940335\pi$
$294$	−1.99332	+	4.36475i	−0.116253	+	0.254558i
$295$	−1.13852	+	7.91857i	−0.0662871	+	0.461037i
$296$	2.32517	+	1.49429i	0.135148	+	0.0868541i
$297$	7.66724	+	8.84847i	0.444899	+	0.513440i
$298$	14.7639			0.855252
$299$		0			0
$300$	−12.5623			−0.725285
$301$		0			0
$302$	2.20243	+	1.41542i	0.126736	+	0.0814480i
$303$	1.42315	−	9.89821i	0.0817577	−	0.568638i
$304$	−1.54044	+	3.37310i	−0.0883505	+	0.193461i
$305$	1.22157	+	8.49622i	0.0699470	+	0.486492i
$306$	−0.906022	−	0.266032i	−0.0517938	−	0.0152080i
$307$	8.01535	−	5.15115i	0.457460	−	0.293992i	−0.291544	−	0.956558i	$-0.594169\pi$
$307$	8.01535	−	5.15115i	0.457460	−	0.293992i	0.749004	+	0.662566i	$0.230532\pi$
$308$	11.3892	+	24.9388i	0.648959	+	1.42102i
$309$	−8.96888	+	2.63350i	−0.510222	+	0.149815i
$310$	−3.35591	+	3.87292i	−0.190603	+	0.219967i
$311$	−8.63129	+	9.96104i	−0.489435	+	0.564839i	−0.945715	−	0.324998i	$-0.894636\pi$
$311$	−8.63129	+	9.96104i	−0.489435	+	0.564839i	0.456279	+	0.889837i	$0.349182\pi$
$312$	−14.3924	+	4.22599i	−0.814809	+	0.239249i
$313$	10.1198	+	22.1593i	0.572004	+	1.25252i	0.945723	+	0.324973i	$0.105355\pi$
$313$	10.1198	+	22.1593i	0.572004	+	1.25252i	−0.373719	+	0.927542i	$0.621917\pi$
$314$	−5.93566	+	3.81461i	−0.334968	+	0.215271i
$315$	−7.67594	−	2.25386i	−0.432490	−	0.126991i
$316$	−2.52014	−	17.5280i	−0.141769	−	0.986025i
$317$	10.5584	−	23.1196i	0.593016	−	1.29852i	−0.340586	−	0.940213i	$-0.610625\pi$
$317$	10.5584	−	23.1196i	0.593016	−	1.29852i	0.933602	−	0.358311i	$-0.116647\pi$
$318$	0.0928570	−	0.645835i	0.00520716	−	0.0362166i
$319$	13.2146	+	8.49250i	0.739875	+	0.475489i
$320$	0.191086	+	0.220525i	0.0106820	+	0.0123277i
$321$	−30.0000			−1.67444
$322$		0			0
$323$	−1.52786			−0.0850126
$324$	−11.6555	−	13.4511i	−0.647525	−	0.747284i
$325$	−8.76284	−	5.63154i	−0.486075	−	0.312381i
$326$	0.506969	−	3.52605i	0.0280784	−	0.195290i
$327$		0			0
$328$	−1.10492	−	7.68491i	−0.0610092	−	0.424328i
$329$	6.94296	+	2.03864i	0.382778	+	0.112394i
$330$	7.52440	−	4.83564i	0.414205	−	0.266193i
$331$	−8.16393	−	17.8765i	−0.448730	−	0.982582i	−0.989913	−	0.141677i	$-0.954750\pi$
$331$	−8.16393	−	17.8765i	−0.448730	−	0.982582i	0.541183	−	0.840905i	$-0.317977\pi$
$332$	−13.6059	+	3.99506i	−0.746723	+	0.219258i
$333$	1.61890	−	1.86832i	0.0887154	−	0.102383i
$334$	−0.618367	+	0.713633i	−0.0338355	+	0.0390483i
$335$	3.27802	−	0.962513i	0.179097	−	0.0525877i
$336$	−5.57338	−	12.2040i	−0.304053	−	0.665782i
$337$	19.6991	−	12.6599i	1.07308	−	0.689627i	0.120131	−	0.992758i	$-0.461668\pi$
$337$	19.6991	−	12.6599i	1.07308	−	0.689627i	0.952949	+	0.303131i	$0.0980320\pi$
$338$	2.37200	+	0.696481i	0.129020	+	0.0378836i
$339$	2.78891	+	19.3973i	0.151473	+	1.05352i
$340$	−0.634698	+	1.38979i	−0.0344213	+	0.0753722i
$341$	4.99875	−	34.7671i	0.270698	−	1.88274i
$342$	−2.07969	−	1.33654i	−0.112457	−	0.0722717i
$343$	7.47616	+	8.62795i	0.403675	+	0.465865i
$344$		0			0
$345$		0			0
$346$	14.1803			0.762340
$347$	6.47562	+	7.47326i	0.347629	+	0.401186i	0.902457	−	0.430779i	$-0.141761\pi$
$347$	6.47562	+	7.47326i	0.347629	+	0.401186i	−0.554828	+	0.831965i	$0.687216\pi$
$348$	−9.13105	−	5.86817i	−0.489476	−	0.314567i
$349$	−3.47482	+	24.1679i	−0.186003	+	1.29368i	0.656229	+	0.754562i	$0.272150\pi$
$349$	−3.47482	+	24.1679i	−0.186003	+	1.29368i	−0.842232	+	0.539116i	$0.818759\pi$
$350$	−2.88475	+	6.31673i	−0.154197	+	0.337644i
$351$	−0.954677	−	6.63992i	−0.0509569	−	0.354413i
$352$	28.2248	+	8.28756i	1.50439	+	0.441728i
$353$	7.87470	−	5.06077i	0.419128	−	0.269357i	−0.314033	−	0.949412i	$-0.601680\pi$
$353$	7.87470	−	5.06077i	0.419128	−	0.269357i	0.733161	+	0.680055i	$0.238044\pi$
$354$	−3.71558	−	8.13600i	−0.197481	−	0.432423i
$355$	−14.5120	+	4.26110i	−0.770215	+	0.226155i
$356$	−11.0961	+	12.8056i	−0.588094	+	0.678697i
$357$	3.61998	−	4.17768i	0.191590	−	0.221106i
$358$	−0.419964	+	0.123313i	−0.0221958	+	0.00651728i
$359$	−8.26200	−	18.0913i	−0.436052	−	0.954820i	−0.992306	−	0.123808i	$-0.960489\pi$
$359$	−8.26200	−	18.0913i	−0.436052	−	0.954820i	0.556255	−	0.831012i	$-0.312238\pi$
$360$	−4.65034	+	2.98859i	−0.245094	+	0.157512i
$361$	14.3924	+	4.22599i	0.757494	+	0.222420i
$362$	−1.46468	−	10.1870i	−0.0769816	−	0.535419i
$363$	−15.2491	+	33.3910i	−0.800372	+	1.75257i
$364$	2.23551	−	15.5483i	0.117173	−	0.814953i
$365$	6.78798	+	4.36237i	0.355299	+	0.228337i
$366$	−6.28453	−	7.25274i	−0.328498	−	0.379107i
$367$	−4.18034			−0.218212			−0.109106	−	0.994030i	$-0.534799\pi$
$367$	−4.18034			−0.218212			−0.109106	+	0.994030i	$0.534799\pi$
$368$		0			0
$369$	−6.94427			−0.361504
$370$	0.618367	+	0.713633i	0.0321473	+	0.0371000i
$371$	1.28532	+	0.826026i	0.0667305	+	0.0428851i
$372$	−3.45405	+	24.0235i	−0.179084	+	1.24556i
$373$	3.20210	−	7.01163i	0.165799	−	0.363048i	−0.808436	−	0.588584i	$-0.799686\pi$
$373$	3.20210	−	7.01163i	0.165799	−	0.363048i	0.974235	+	0.225535i	$0.0724131\pi$
$374$	0.351822	+	2.44697i	0.0181923	+	0.126530i
$375$	−22.4679	−	6.59716i	−1.16024	−	0.340676i
$376$	4.20627	−	2.70320i	0.216922	−	0.139407i
$377$	−3.73874	−	8.18669i	−0.192555	−	0.421636i
$378$	−4.29098	+	1.25995i	−0.220704	+	0.0648046i
$379$	−15.9529	+	18.4106i	−0.819443	+	0.945688i	−0.999277	−	0.0380093i	$-0.987898\pi$
$379$	−15.9529	+	18.4106i	−0.819443	+	0.945688i	0.179834	+	0.983697i	$0.442444\pi$
$380$	−2.61944	+	3.02300i	−0.134375	+	0.155077i
$381$	−15.6445	+	4.59364i	−0.801491	+	0.235339i
$382$	−6.72156	−	14.7182i	−0.343905	−	0.753046i
$383$	5.93566	−	3.81461i	0.303298	−	0.194918i	−0.380135	−	0.924931i	$-0.624123\pi$
$383$	5.93566	−	3.81461i	0.303298	−	0.194918i	0.683433	+	0.730013i	$0.260486\pi$
$384$	−24.4199	−	7.17033i	−1.24617	−	0.365910i
$385$	2.98068	+	20.7311i	0.151910	+	1.05655i
$386$	2.55310	−	5.59051i	0.129949	−	0.284549i
$387$		0			0
$388$	−24.1040	−	15.4907i	−1.22370	−	0.786421i
$389$	−16.7172	−	19.2927i	−0.847595	−	0.978177i	0.152353	−	0.988326i	$-0.451315\pi$
$389$	−16.7172	−	19.2927i	−0.847595	−	0.978177i	−0.999948	+	0.0101488i	$0.996769\pi$
$390$	−5.12461			−0.259495
$391$		0			0
$392$	−7.76393			−0.392138
$393$	27.3947	+	31.6151i	1.38188	+	1.59477i
$394$	−0.765398	−	0.491891i	−0.0385602	−	0.0247811i
$395$	1.92522	−	13.3902i	0.0968681	−	0.673733i
$396$	7.03890	−	15.4131i	0.353718	−	0.774535i
$397$	3.47482	+	24.1679i	0.174396	+	1.21295i	0.869460	+	0.494003i	$0.164467\pi$
$397$	3.47482	+	24.1679i	0.174396	+	1.21295i	−0.695064	+	0.718948i	$0.744624\pi$
$398$	7.28903	+	2.14025i	0.365366	+	0.107281i
$399$	12.1747	−	7.82423i	0.609499	−	0.391701i
$400$	−2.67431	−	5.85593i	−0.133716	−	0.292797i
$401$	13.6059	−	3.99506i	0.679448	−	0.199504i	0.0762420	−	0.997089i	$-0.475708\pi$
$401$	13.6059	−	3.99506i	0.679448	−	0.199504i	0.603206	+	0.797585i	$0.293890\pi$
$402$	−2.50135	+	2.88671i	−0.124756	+	0.143976i
$403$	−13.1788	+	15.2092i	−0.656484	+	0.757623i
$404$	6.94296	−	2.03864i	0.345425	−	0.101426i
$405$	−5.64829	−	12.3680i	−0.280666	−	0.614573i
$406$	−5.04752	+	3.24384i	−0.250504	+	0.160989i
$407$	−6.20997	−	1.82341i	−0.307817	−	0.0903831i
$408$	−0.543594	−	3.78078i	−0.0269119	−	0.187177i
$409$	8.87355	−	19.4304i	0.438769	−	0.960769i	−0.553054	−	0.833145i	$-0.686538\pi$
$409$	8.87355	−	19.4304i	0.438769	−	0.960769i	0.991823	−	0.127624i	$-0.0407351\pi$
$410$	0.377487	−	2.62548i	0.0186427	−	0.129663i
$411$	41.1745	+	26.4613i	2.03099	+	1.30524i
$412$	−4.42943	−	5.11184i	−0.218223	−	0.251842i
$413$	20.9443			1.03060
$414$		0			0
$415$	−10.8328			−0.531762
$416$	−11.0371	−	12.7375i	−0.541138	−	0.624506i
$417$	20.1432	+	12.9453i	0.986417	+	0.633932i
$418$	−0.921081	+	6.40626i	−0.0450515	+	0.313340i
$419$	−1.90409	+	4.16938i	−0.0930210	+	0.203688i	−0.950423	−	0.310959i	$-0.899350\pi$
$419$	−1.90409	+	4.16938i	−0.0930210	+	0.203688i	0.857402	+	0.514647i	$0.172077\pi$
$420$	−2.05960	−	14.3248i	−0.100498	−	0.698980i
$421$	9.87491	+	2.89953i	0.481273	+	0.141315i	0.513365	−	0.858170i	$-0.328399\pi$
$421$	9.87491	+	2.89953i	0.481273	+	0.141315i	−0.0320917	+	0.999485i	$0.510217\pi$
$422$	−12.1747	+	7.82423i	−0.592657	+	0.380877i
$423$	−1.85779	−	4.06800i	−0.0903290	−	0.197793i
$424$	1.01296	−	0.297433i	0.0491939	−	0.0144446i
$425$	1.73700	−	2.00461i	0.0842570	−	0.0972377i
$426$	11.0736	−	12.7796i	0.536517	−	0.619173i
$427$	21.5619	−	6.33113i	1.04345	−	0.306385i
$428$	−9.01791	−	19.7465i	−0.435897	−	0.954482i
$429$	29.5487	−	18.9898i	1.42662	−	0.916836i
$430$		0			0
$431$	2.49448	+	17.3495i	0.120155	+	0.835694i	0.957379	+	0.288834i	$0.0932677\pi$
$431$	2.49448	+	17.3495i	0.120155	+	0.835694i	−0.837224	+	0.546859i	$0.815823\pi$
$432$	1.72227	−	3.77124i	0.0828627	−	0.181444i
$433$	−2.53600	+	17.6383i	−0.121872	+	0.847642i	0.833559	+	0.552430i	$0.186299\pi$
$433$	−2.53600	+	17.6383i	−0.121872	+	0.847642i	−0.955432	+	0.295212i	$0.904610\pi$
$434$	11.2866	+	7.25346i	0.541774	+	0.348177i
$435$	−5.42997	−	6.26652i	−0.260347	−	0.300457i
$436$		0			0
$437$		0			0
$438$	−9.02129			−0.431054
$439$	12.2513	+	14.1387i	0.584721	+	0.674804i	0.968613	−	0.248574i	$-0.0799619\pi$
$439$	12.2513	+	14.1387i	0.584721	+	0.674804i	−0.383892	+	0.923378i	$0.625416\pi$
$440$	12.1747	+	7.82423i	0.580408	+	0.373005i
$441$	−0.988273	+	6.87359i	−0.0470606	+	0.327314i
$442$	0.588397	−	1.28841i	0.0279872	−	0.0612834i
$443$	−5.42570	−	37.7366i	−0.257783	−	1.79292i	−0.548543	−	0.836122i	$-0.684817\pi$
$443$	−5.42570	−	37.7366i	−0.257783	−	1.79292i	0.290761	−	0.956796i	$-0.406092\pi$
$444$	4.29098	+	1.25995i	0.203641	+	0.0597944i
$445$	−10.8894	+	6.99820i	−0.516208	+	0.331747i
$446$	1.02696	+	2.24873i	0.0486281	+	0.106481i
$447$	51.2527	−	15.0491i	2.42417	−	0.711800i
$448$	0.500269	−	0.577341i	0.0236355	−	0.0272768i
$449$	9.78642	−	11.2941i	0.461850	−	0.533003i	−0.476277	−	0.879295i	$-0.658014\pi$
$449$	9.78642	−	11.2941i	0.461850	−	0.533003i	0.938127	+	0.346292i	$0.112560\pi$
$450$	4.11795	−	1.20914i	0.194122	−	0.0569993i
$451$	7.55239	+	16.5374i	0.355628	+	0.778717i
$452$	−11.9293	+	7.66647i	−0.561105	+	0.360600i
$453$	9.08845	+	2.66861i	0.427013	+	0.125382i
$454$	1.07133	+	7.45124i	0.0502799	+	0.349704i
$455$	4.98498	−	10.9156i	0.233699	−	0.511730i
$456$	1.42315	−	9.89821i	0.0666450	−	0.463526i
$457$	−4.31110	−	2.77057i	−0.201665	−	0.129602i	0.435911	−	0.899990i	$-0.356426\pi$
$457$	−4.31110	−	2.77057i	−0.201665	−	0.129602i	−0.637576	+	0.770388i	$0.720063\pi$
$458$	4.85671	+	5.60495i	0.226939	+	0.261902i
$459$	1.70820			0.0797321
$460$		0			0
$461$	−1.47214			−0.0685642			−0.0342821	−	0.999412i	$-0.510914\pi$
$461$	−1.47214			−0.0685642			−0.0342821	+	0.999412i	$0.510914\pi$
$462$	−15.3345	−	17.6969i	−0.713425	−	0.823336i
$463$	−16.8251	−	10.8128i	−0.781927	−	0.502514i	0.0877454	−	0.996143i	$-0.472034\pi$
$463$	−16.8251	−	10.8128i	−0.781927	−	0.502514i	−0.869673	+	0.493629i	$0.835670\pi$
$464$	0.791599	−	5.50569i	0.0367490	−	0.255595i
$465$	−7.70222	+	16.8655i	−0.357182	+	0.782119i
$466$	0.574161	+	3.99338i	0.0265975	+	0.184990i
$467$	12.5269	+	3.67822i	0.579675	+	0.170208i	0.558409	−	0.829566i	$-0.311412\pi$
$467$	12.5269	+	3.67822i	0.579675	+	0.170208i	0.0212661	+	0.999774i	$0.493230\pi$
$468$	−8.16706	+	5.24865i	−0.377523	+	0.242619i
$469$	−3.71558	−	8.13600i	−0.171570	−	0.375685i
$470$	1.63901	−	0.481257i	0.0756019	−	0.0221987i
$471$	−16.7172	+	19.2927i	−0.770288	+	0.888959i
$472$	9.47723	−	10.9373i	0.436225	−	0.503431i
$473$		0			0
$474$	6.28299	+	13.7578i	0.288587	+	0.631918i
$475$	5.84189	−	3.75436i	0.268044	−	0.172262i
$476$	3.83797	+	1.12693i	0.175913	+	0.0516528i
$477$	−0.134384	−	0.934661i	−0.00615302	−	0.0427952i
$478$	3.53376	−	7.73786i	0.161630	−	0.353921i
$479$	−4.49669	+	31.2751i	−0.205459	+	1.42900i	0.582280	+	0.812988i	$0.302161\pi$
$479$	−4.49669	+	31.2751i	−0.205459	+	1.42900i	−0.787739	+	0.616009i	$0.788748\pi$
$480$	−13.0629	−	8.39500i	−0.596236	−	0.383177i
$481$	2.42836	+	2.80247i	0.110724	+	0.127782i
$482$	−14.2918			−0.650973
$483$		0			0
$484$	−26.5623			−1.20738
$485$	−14.3339	−	16.5423i	−0.650871	−	0.751145i
$486$	9.30067	+	5.97718i	0.421887	+	0.271130i
$487$	2.09320	−	14.5585i	0.0948517	−	0.659708i	−0.885817	−	0.464034i	$-0.846401\pi$
$487$	2.09320	−	14.5585i	0.0948517	−	0.659708i	0.980669	−	0.195674i	$-0.0626895\pi$
$488$	6.45051	−	14.1246i	0.292001	−	0.639392i
$489$	−1.83423	−	12.7574i	−0.0829468	−	0.576908i
$490$	−2.54503	−	0.747289i	−0.114973	−	0.0337591i
$491$	7.02238	−	4.51301i	0.316916	−	0.203669i	−0.372506	−	0.928030i	$-0.621501\pi$
$491$	7.02238	−	4.51301i	0.316916	−	0.203669i	0.689421	+	0.724361i	$0.257865\pi$
$492$	−5.21857	−	11.4271i	−0.235271	−	0.515172i
$493$	2.19896	−	0.645674i	0.0990363	−	0.0290797i
$494$	2.42836	−	2.80247i	0.109257	−	0.126089i
$495$	8.47670	−	9.78263i	0.380999	−	0.439696i
$496$	−11.9339	+	3.50410i	−0.535847	+	0.157339i
$497$	16.4491	+	36.0185i	0.737842	+	1.61565i
$498$	10.1888	−	6.54795i	0.456571	−	0.293421i
$499$	−18.5103	−	5.43513i	−0.828637	−	0.243310i	−0.160206	−	0.987084i	$-0.551216\pi$
$499$	−18.5103	−	5.43513i	−0.828637	−	0.243310i	−0.668431	+	0.743774i	$0.733034\pi$
$500$	−2.41142	−	16.7718i	−0.107842	−	0.750058i
$501$	−1.41923	+	3.10767i	−0.0634064	+	0.138841i
$502$	−0.201576	+	1.40199i	−0.00899677	+	0.0625739i
$503$	−22.6670	−	14.5672i	−1.01067	−	0.649518i	−0.0731035	−	0.997324i	$-0.523290\pi$
$503$	−22.6670	−	14.5672i	−1.01067	−	0.649518i	−0.937566	+	0.347806i	$0.886927\pi$
$504$	9.47723	+	10.9373i	0.422150	+	0.487187i
$505$	5.52786			0.245987
$506$		0			0
$507$	8.94427			0.397229
$508$	−7.72629	−	8.91662i	−0.342799	−	0.395611i
$509$	−23.8116	−	15.3028i	−1.05543	−	0.678285i	−0.106676	−	0.994294i	$-0.534021\pi$
$509$	−23.8116	−	15.3028i	−1.05543	−	0.678285i	−0.948756	+	0.316009i	$0.897657\pi$
$510$	0.185714	−	1.29167i	0.00822355	−	0.0571961i
$511$	8.77548	−	19.2156i	0.388204	−	0.850049i
$512$	−2.66246	−	18.5178i	−0.117665	−	0.818378i
$513$	4.29098	+	1.25995i	0.189452	+	0.0556280i
$514$	−3.88494	+	2.49670i	−0.171357	+	0.110125i
$515$	−2.14653	−	4.70024i	−0.0945872	−	0.207117i
$516$		0			0
$517$	−7.66724	+	8.84847i	−0.337205	+	0.389155i
$518$	1.61890	−	1.86832i	0.0711306	−	0.0820891i
$519$	49.2267	−	14.4543i	2.16081	−	0.634472i
$520$	−3.44454	−	7.54248i	−0.151053	−	0.330760i
$521$	26.4292	−	16.9850i	1.15788	−	0.744126i	0.186689	−	0.982419i	$-0.440224\pi$
$521$	26.4292	−	16.9850i	1.15788	−	0.744126i	0.971193	+	0.238293i	$0.0765878\pi$
$522$	3.55800	+	1.04472i	0.155729	+	0.0457262i
$523$	−5.85264	−	40.7060i	−0.255918	−	1.77995i	−0.561192	−	0.827686i	$-0.689657\pi$
$523$	−5.85264	−	40.7060i	−0.255918	−	1.77995i	0.305274	−	0.952265i	$-0.401252\pi$
$524$	−12.5748	+	27.5350i	−0.549334	+	1.20287i
$525$	−3.57561	+	24.8689i	−0.156052	+	1.08537i
$526$	1.53080	+	0.983783i	0.0667459	+	0.0428950i
$527$	−3.35591	−	3.87292i	−0.146186	−	0.168707i
$528$	21.7082			0.944728
$529$		0			0
$530$	0.360680			0.0156669
$531$	−8.47670	−	9.78263i	−0.367857	−	0.424530i
$532$	8.80972	+	5.66166i	0.381950	+	0.245464i
$533$	1.48241	−	10.3104i	0.0642103	−	0.446592i
$534$	6.01194	−	13.1643i	0.260162	−	0.569676i
$535$	−2.36009	−	16.4148i	−0.102036	−	0.709673i
$536$	−5.92999	−	1.74120i	−0.256137	−	0.0752085i
$537$	−1.33220	+	0.856155i	−0.0574888	+	0.0369458i
$538$	−2.03962	−	4.46614i	−0.0879341	−	0.192549i
$539$	17.4439	−	5.12199i	0.751362	−	0.220620i
$540$	2.92863	−	3.37981i	0.126028	−	0.145444i
$541$	22.5380	−	26.0102i	0.968982	−	1.11827i	−0.0239655	−	0.999713i	$-0.507629\pi$
$541$	22.5380	−	26.0102i	0.968982	−	1.11827i	0.992948	−	0.118552i	$-0.0378254\pi$
$542$	−4.74399	+	1.39296i	−0.203772	+	0.0598329i
$543$	−15.4684	−	33.8711i	−0.663814	−	1.45355i
$544$	3.61049	−	2.32032i	0.154798	−	0.0994829i
$545$		0			0
$546$	1.90935	+	13.2798i	0.0817128	+	0.568325i
$547$	−12.2718	+	26.8715i	−0.524704	+	1.14894i	0.442924	+	0.896559i	$0.353941\pi$
$547$	−12.2718	+	26.8715i	−0.524704	+	1.14894i	−0.967628	+	0.252381i	$0.918786\pi$
$548$	−5.04028	+	35.0559i	−0.215310	+	1.49751i
$549$	−11.6838	−	7.50871i	−0.498652	−	0.320464i
$550$	−7.35806	−	8.49165i	−0.313749	−	0.362085i
$551$	6.00000			0.255609
$552$		0			0
$553$	−35.4164			−1.50606
$554$	−6.26198	−	7.22671i	−0.266046	−	0.307033i
$555$	2.87407	+	1.84705i	0.121997	+	0.0784029i
$556$	−2.46578	+	17.1499i	−0.104572	+	0.727317i
$557$	−3.08089	+	6.74620i	−0.130541	+	0.285846i	−0.963604	−	0.267332i	$-0.913858\pi$
$557$	−3.08089	+	6.74620i	−0.130541	+	0.285846i	0.833063	+	0.553178i	$0.186585\pi$
$558$	−1.18005	−	8.20740i	−0.0499553	−	0.347447i
$559$		0			0
$560$	6.23908	−	4.00961i	0.263649	−	0.169437i
$561$	3.71558	+	8.13600i	0.156872	+	0.343502i
$562$	5.19701	−	1.52598i	0.219222	−	0.0643695i
$563$	21.5739	−	24.8976i	0.909232	−	1.04931i	−0.0893462	−	0.996001i	$-0.528478\pi$
$563$	21.5739	−	24.8976i	0.909232	−	1.04931i	0.998578	−	0.0533089i	$-0.0169768\pi$
$564$	5.29793	−	6.11414i	0.223083	−	0.257452i
$565$	−10.3940	+	3.05196i	−0.437279	+	0.128397i
$566$	7.11382	+	15.5771i	0.299016	+	0.654754i
$567$	−29.9459	+	19.2451i	−1.25761	+	0.808216i
$568$	26.2524	+	7.70839i	1.10153	+	0.323437i
$569$	3.15659	+	21.9546i	0.132331	+	0.920384i	0.942505	+	0.334193i	$0.108464\pi$
$569$	3.15659	+	21.9546i	0.132331	+	0.920384i	−0.810173	+	0.586190i	$0.800627\pi$
$570$	1.41923	−	3.10767i	0.0594449	−	0.130166i
$571$	2.03393	−	14.1463i	0.0851175	−	0.592005i	−0.901967	−	0.431805i	$-0.857877\pi$
$571$	2.03393	−	14.1463i	0.0851175	−	0.592005i	0.987085	−	0.160200i	$-0.0512140\pi$
$572$	21.3816	+	13.7411i	0.894011	+	0.574546i
$573$	−38.3362	−	44.2424i	−1.60152	−	1.84825i
$574$	−6.94427			−0.289848
$575$		0			0
$576$	−0.472136			−0.0196723
$577$	−14.9888	−	17.2980i	−0.623992	−	0.720125i	0.352468	−	0.935824i	$-0.385343\pi$
$577$	−14.9888	−	17.2980i	−0.623992	−	0.720125i	−0.976460	+	0.215698i	$0.930797\pi$
$578$	−8.53527	−	5.48529i	−0.355021	−	0.228158i
$579$	3.16452	−	22.0097i	0.131513	−	0.914693i
$580$	2.49249	−	5.45779i	0.103495	−	0.226622i
$581$	4.03615	+	28.0720i	0.167448	+	1.16462i
$582$	23.4808	+	6.89460i	0.973312	+	0.285790i
$583$	−2.07969	+	1.33654i	−0.0861321	+	0.0553537i
$584$	−6.06371	−	13.2777i	−0.250918	−	0.549434i
$585$	−7.11599	+	2.08944i	−0.294210	+	0.0863879i
$586$	0.618367	−	0.713633i	0.0255445	−	0.0294799i
$587$	16.1804	−	18.6732i	0.667838	−	0.770726i	−0.316199	−	0.948693i	$-0.602407\pi$
$587$	16.1804	−	18.6732i	0.667838	−	0.770726i	0.984036	+	0.177967i	$0.0569520\pi$
$588$	−12.0534	+	3.53921i	−0.497076	+	0.145955i
$589$	−5.57338	−	12.2040i	−0.229647	−	0.502857i
$590$	4.15939	−	2.67308i	0.171239	−	0.110049i
$591$	−3.15846	−	0.927406i	−0.129921	−	0.0381484i
$592$	0.326157	+	2.26847i	0.0134050	+	0.0932335i
$593$	−1.22309	+	2.67820i	−0.0502265	+	0.109981i	−0.933082	−	0.359665i	$-0.882891\pi$
$593$	−1.22309	+	2.67820i	−0.0502265	+	0.109981i	0.882855	+	0.469646i	$0.155618\pi$
$594$	1.02980	−	7.16242i	0.0422532	−	0.293877i
$595$	2.57064	+	1.65205i	0.105386	+	0.0677275i
$596$	25.3120	+	29.2116i	1.03682	+	1.19655i
$597$	27.4853			1.12490
$598$		0			0
$599$	33.8885			1.38465			0.692324	−	0.721587i	$-0.256587\pi$
$599$	33.8885			1.38465			0.692324	+	0.721587i	$0.256587\pi$
$600$	11.3688	+	13.1203i	0.464130	+	0.535635i
$601$	39.4452	+	25.3499i	1.60900	+	1.03404i	0.962556	+	0.271082i	$0.0873814\pi$
$601$	39.4452	+	25.3499i	1.60900	+	1.03404i	0.646445	+	0.762961i	$0.276255\pi$
$602$		0			0
$603$	−2.29636	+	5.02832i	−0.0935149	+	0.204769i
$604$	0.975440	+	6.78434i	0.0396901	+	0.276051i
$605$	−19.4698	−	5.71686i	−0.791561	−	0.232423i
$606$	−5.19923	+	3.34134i	−0.211204	+	0.135733i
$607$	10.9969	+	24.0799i	0.446351	+	0.977373i	0.990389	+	0.138312i	$0.0441677\pi$
$607$	10.9969	+	24.0799i	0.446351	+	0.977373i	−0.544037	+	0.839061i	$0.683105\pi$
$608$	10.7809	−	3.16557i	0.437224	−	0.128381i
$609$	−14.2159	+	16.4060i	−0.576055	+	0.664803i
$610$	3.47400	−	4.00921i	0.140658	−	0.162328i
$611$	6.43647	−	1.88992i	0.260392	−	0.0764580i
$612$	−1.02696	−	2.24873i	−0.0415125	−	0.0908997i
$613$	4.80205	−	3.08609i	0.193953	−	0.124646i	−0.440060	−	0.897968i	$-0.645043\pi$
$613$	4.80205	−	3.08609i	0.193953	−	0.124646i	0.634013	+	0.773322i	$0.281407\pi$
$614$	−5.65002	−	1.65899i	−0.228016	−	0.0669516i
$615$	−1.36576	−	9.49907i	−0.0550727	−	0.383039i
$616$	15.7395	−	34.4646i	0.634161	−	1.38862i
$617$	1.07133	−	7.45124i	0.0431300	−	0.299976i	−0.956827	−	0.290659i	$-0.906125\pi$
$617$	1.07133	−	7.45124i	0.0431300	−	0.299976i	0.999957	−	0.00931636i	$-0.00296553\pi$
$618$	4.86000	+	3.12333i	0.195498	+	0.125639i
$619$	−12.7150	−	14.6739i	−0.511061	−	0.589796i	0.440309	−	0.897846i	$-0.354869\pi$
$619$	−12.7150	−	14.6739i	−0.511061	−	0.589796i	−0.951370	+	0.308051i	$0.900323\pi$
$620$	−13.4164			−0.538816
$621$		0			0
$622$	8.14590			0.326621
$623$	22.1923	+	25.6113i	0.889115	+	1.02609i
$624$	−10.4633	−	6.72433i	−0.418865	−	0.269188i
$625$	−0.628520	+	4.37146i	−0.0251408	+	0.174858i
$626$	6.25438	−	13.6952i	0.249975	−	0.547369i
$627$	3.33250	+	23.1781i	0.133087	+	0.925643i
$628$	−17.7239	−	5.20420i	−0.707260	−	0.207670i
$629$	−0.794372	+	0.510512i	−0.0316737	+	0.0203554i
$630$	2.05392	+	4.49747i	0.0818303	+	0.179183i
$631$	−11.8600	+	3.48241i	−0.472139	+	0.138632i	−0.509142	−	0.860683i	$-0.670037\pi$
$631$	−11.8600	+	3.48241i	−0.472139	+	0.138632i	0.0370031	+	0.999315i	$0.488219\pi$
$632$	−16.0258	+	18.4948i	−0.637474	+	0.735684i
$633$	−34.2890	+	39.5716i	−1.36286	+	1.57283i
$634$	−15.0719	+	4.42551i	−0.598582	+	0.175760i
$635$	−3.74420	−	8.19865i	−0.148584	−	0.325354i
$636$	1.43703	−	0.923525i	0.0569820	−	0.0366201i
$637$	−9.99447	−	2.93464i	−0.395995	−	0.116275i
$638$	−1.38162	−	9.60939i	−0.0546989	−	0.380439i
$639$	10.1661	−	22.2606i	0.402164	−	0.880617i
$640$	2.00221	−	13.9257i	0.0791443	−	0.550461i
$641$	−14.5579	−	9.35576i	−0.575001	−	0.369530i	0.220589	−	0.975367i	$-0.429202\pi$
$641$	−14.5579	−	9.35576i	−0.575001	−	0.369530i	−0.795589	+	0.605837i	$0.792839\pi$
$642$	12.1418	+	14.0124i	0.479198	+	0.553024i
$643$	−29.5967			−1.16718			−0.583591	−	0.812048i	$-0.698353\pi$
$643$	−29.5967			−1.16718			−0.583591	+	0.812048i	$0.698353\pi$
$644$		0			0
$645$		0			0
$646$	0.618367	+	0.713633i	0.0243293	+	0.0280775i
$647$	5.64330	+	3.62673i	0.221861	+	0.142581i	0.646850	−	0.762617i	$-0.276086\pi$
$647$	5.64330	+	3.62673i	0.221861	+	0.142581i	−0.424989	+	0.905198i	$0.639722\pi$
$648$	−3.50048	+	24.3464i	−0.137512	+	0.956416i
$649$	−14.0778	+	30.8261i	−0.552602	+	1.21003i
$650$	0.916179	+	6.37217i	0.0359355	+	0.249937i
$651$	46.5748	+	13.6756i	1.82541	+	0.535988i
$652$	7.84573	−	5.04214i	0.307263	−	0.197466i
$653$	−15.9125	−	34.8434i	−0.622702	−	1.36353i	−0.913537	−	0.406755i	$-0.866660\pi$
$653$	−15.9125	−	34.8434i	−0.622702	−	1.36353i	0.290835	−	0.956773i	$-0.406067\pi$
$654$		0			0
$655$	−15.1434	+	17.4764i	−0.591702	+	0.682860i
$656$	4.21579	−	4.86528i	0.164599	−	0.189957i
$657$	−12.5269	+	3.67822i	−0.488720	+	0.143501i
$658$	−1.85779	−	4.06800i	−0.0724243	−	0.158587i
$659$	−8.96143	+	5.75916i	−0.349088	+	0.224345i	−0.703420	−	0.710775i	$-0.748345\pi$
$659$	−8.96143	+	5.75916i	−0.349088	+	0.224345i	0.354332	+	0.935120i	$0.384708\pi$
$660$	22.4679	+	6.59716i	0.874561	+	0.256794i
$661$	3.26531	+	22.7107i	0.127006	+	0.883345i	0.949320	+	0.314311i	$0.101774\pi$
$661$	3.26531	+	22.7107i	0.127006	+	0.883345i	−0.822314	+	0.569034i	$0.807317\pi$
$662$	−5.04559	+	11.0483i	−0.196102	+	0.429404i
$663$	0.729308	−	5.07245i	0.0283240	−	0.196998i
$664$	16.4858	+	10.5948i	0.639774	+	0.411158i
$665$	5.23889	+	6.04600i	0.203155	+	0.234454i
$666$	−1.52786			−0.0592035
$667$		0			0
$668$	−2.47214			−0.0956498
$669$	5.85725	+	6.75963i	0.226454	+	0.261342i
$670$	−1.77627	−	1.14154i	−0.0686233	−	0.0441015i
$671$	−5.17466	+	35.9906i	−0.199766	+	1.38940i
$672$	−16.8876	+	36.9788i	−0.651455	+	1.42649i
$673$	−0.426945	−	2.96946i	−0.0164575	−	0.114464i	0.979937	−	0.199309i	$-0.0638697\pi$
$673$	−0.426945	−	2.96946i	−0.0164575	−	0.114464i	−0.996394	+	0.0848445i	$0.972961\pi$
$674$	−13.8859	−	4.07727i	−0.534865	−	0.157051i
$675$	−6.53144	+	4.19750i	−0.251395	+	0.161562i
$676$	2.68862	+	5.88726i	0.103409	+	0.226433i
$677$	−17.2709	+	5.07119i	−0.663774	+	0.194902i	−0.596229	−	0.802815i	$-0.703335\pi$
$677$	−17.2709	+	5.07119i	−0.663774	+	0.194902i	−0.0675450	+	0.997716i	$0.521517\pi$
$678$	7.93132	−	9.15323i	0.304600	−	0.351528i
$679$	−37.5268	+	43.3082i	−1.44014	+	1.66202i
$680$	2.02593	−	0.594866i	0.0776908	−	0.0228121i
$681$	11.3143	+	24.7748i	0.433564	+	0.949372i
$682$	−18.2621	+	11.7363i	−0.699292	+	0.449408i
$683$	−25.5194	−	7.49317i	−0.976472	−	0.286718i	−0.245705	−	0.969345i	$-0.579019\pi$
$683$	−25.5194	−	7.49317i	−0.976472	−	0.286718i	−0.730767	+	0.682626i	$0.760838\pi$
$684$	−0.921081	−	6.40626i	−0.0352184	−	0.244949i
$685$	−11.2394	+	24.6108i	−0.429434	+	0.940329i
$686$	1.00413	−	6.98391i	0.0383380	−	0.266647i
$687$	22.5732	+	14.5069i	0.861221	+	0.553473i
$688$		0			0
$689$	1.41641			0.0539608
$690$		0			0
$691$	7.05573			0.268413			0.134206	−	0.990953i	$-0.457152\pi$
$691$	7.05573			0.268413			0.134206	+	0.990953i	$0.457152\pi$
$692$	24.3115	+	28.0569i	0.924183	+	1.06656i
$693$	−28.5089	−	18.3215i	−1.08296	−	0.695977i
$694$	0.869751	−	6.04925i	0.0330153	−	0.229626i
$695$	−5.49846	+	12.0400i	−0.208569	+	0.456701i
$696$	2.13472	+	14.8473i	0.0809165	+	0.562786i
$697$	2.54503	+	0.747289i	0.0964000	+	0.0283056i
$698$	12.6947	−	8.15836i	0.480500	−	0.308799i
$699$	6.06371	+	13.2777i	0.229351	+	0.502208i
$700$	−17.4439	+	5.12199i	−0.659318	+	0.193593i
$701$	2.50135	−	2.88671i	0.0944745	−	0.109029i	−0.706544	−	0.707670i	$-0.749747\pi$
$701$	2.50135	−	2.88671i	0.0944745	−	0.109029i	0.801018	+	0.598640i	$0.204292\pi$
$702$	−2.71499	+	3.13326i	−0.102471	+	0.118257i
$703$	−2.37200	+	0.696481i	−0.0894616	+	0.0262683i
$704$	0.513481	+	1.12437i	0.0193526	+	0.0423762i
$705$	5.19923	−	3.34134i	0.195814	−	0.125842i
$706$	−5.55088	−	1.62988i	−0.208910	−	0.0613415i
$707$	−2.05960	−	14.3248i	−0.0774592	−	0.538741i
$708$	9.72753	−	21.3003i	0.365583	−	0.800515i
$709$	5.98703	−	41.6407i	0.224847	−	1.56385i	−0.494487	−	0.869185i	$-0.664644\pi$
$709$	5.98703	−	41.6407i	0.224847	−	1.56385i	0.719335	−	0.694664i	$-0.244447\pi$
$710$	7.86364	+	5.05365i	0.295117	+	0.189660i
$711$	14.3339	+	16.5423i	0.537565	+	0.620383i
$712$	23.4164			0.877567
$713$		0			0
$714$	−3.41641			−0.127856
$715$	12.7150	+	14.6739i	0.475516	+	0.548774i
$716$	−0.963991	−	0.619519i	−0.0360260	−	0.0231525i
$717$	4.38004	−	30.4638i	0.163575	−	1.13769i
$718$	−5.10620	+	11.1810i	−0.190562	+	0.417272i
$719$	0.434875	+	3.02463i	0.0162181	+	0.112799i	0.996322	−	0.0856839i	$-0.0273075\pi$
$719$	0.434875	+	3.02463i	0.0162181	+	0.112799i	−0.980104	+	0.198483i	$0.936398\pi$
$720$	−4.39792	−	1.29135i	−0.163901	−	0.0481257i
$721$	−11.3804	+	7.31372i	−0.423827	+	0.272377i
$722$	−3.85111	−	8.43275i	−0.143323	−	0.313835i
$723$	−49.6137	+	14.5679i	−1.84515	+	0.541785i
$724$	17.6447	−	20.3631i	0.655762	−	0.756789i
$725$	−6.82130	+	7.87220i	−0.253337	+	0.292366i
$726$	21.7679	−	6.39164i	0.807884	−	0.237216i
$727$	−11.5104	−	25.2043i	−0.426897	−	0.934775i	−0.993820	−	0.111004i	$-0.964593\pi$
$727$	−11.5104	−	25.2043i	−0.426897	−	0.934775i	0.566923	−	0.823771i	$-0.308134\pi$
$728$	−18.2621	+	11.7363i	−0.676839	+	0.434978i
$729$	6.71645	+	1.97213i	0.248757	+	0.0730418i
$730$	−0.709702	−	4.93609i	−0.0262672	−	0.182693i
$731$		0			0
$732$	3.57561	−	24.8689i	0.132158	−	0.919180i
$733$	−26.2775	−	16.8875i	−0.970580	−	0.623754i	−0.0436732	−	0.999046i	$-0.513906\pi$
$733$	−26.2775	−	16.8875i	−0.970580	−	0.623754i	−0.926907	+	0.375292i	$0.877542\pi$
$734$	1.69189	+	1.95255i	0.0624489	+	0.0720699i
$735$	−9.59675			−0.353981
$736$		0			0
$737$	14.4721			0.533088
$738$	2.81053	+	3.24352i	0.103457	+	0.119396i
$739$	22.5621	+	14.4998i	0.829962	+	0.533384i	0.885266	−	0.465086i	$-0.153976\pi$
$739$	22.5621	+	14.4998i	0.829962	+	0.533384i	−0.0553042	+	0.998470i	$0.517613\pi$
$740$	−0.351822	+	2.44697i	−0.0129332	+	0.0899525i
$741$	5.57338	−	12.2040i	0.204743	−	0.448325i
$742$	−0.134384	−	0.934661i	−0.00493339	−	0.0343125i
$743$	−39.4588	−	11.5861i	−1.44760	−	0.425054i	−0.538854	−	0.842399i	$-0.681143\pi$
$743$	−39.4588	−	11.5861i	−1.44760	−	0.425054i	−0.908748	+	0.417345i	$0.862961\pi$
$744$	28.2165	−	18.1336i	1.03447	−	0.664812i
$745$	12.2663	+	26.8595i	0.449403	+	0.984056i
$746$	−4.57096	+	1.34215i	−0.167355	+	0.0491398i
$747$	11.4783	−	13.2467i	0.419969	−	0.484671i
$748$	−4.23835	+	4.89131i	−0.154969	+	0.178844i
$749$	−41.6577	+	12.2318i	−1.52214	+	0.446941i
$750$	6.01194	+	13.1643i	0.219525	+	0.480693i
$751$	0.303423	−	0.194998i	0.0110721	−	0.00711559i	−0.535093	−	0.844793i	$-0.679723\pi$
$751$	0.303423	−	0.194998i	0.0110721	−	0.00711559i	0.546165	+	0.837678i	$0.316087\pi$
$752$	3.97796	+	1.16803i	0.145061	+	0.0425938i
$753$	0.729308	+	5.07245i	0.0265775	+	0.184850i
$754$	−2.31067	+	5.05965i	−0.0841495	+	0.184262i
$755$	−0.745170	+	5.18277i	−0.0271195	+	0.188620i
$756$	−9.84957	−	6.32993i	−0.358225	−	0.230217i
$757$	−1.04565	−	1.20674i	−0.0380047	−	0.0438598i	0.736429	−	0.676515i	$-0.236511\pi$
$757$	−1.04565	−	1.20674i	−0.0380047	−	0.0438598i	−0.774434	+	0.632655i	$0.781965\pi$
$758$	15.0557			0.546849
$759$		0			0
$760$	5.52786			0.200517
$761$	−30.3233	−	34.9949i	−1.09922	−	1.26857i	−0.960514	−	0.278232i	$-0.910252\pi$
$761$	−30.3233	−	34.9949i	−1.09922	−	1.26857i	−0.138705	−	0.990334i	$-0.544294\pi$
$762$	8.47732	+	5.44805i	0.307101	+	0.197362i
$763$		0			0
$764$	17.5973	−	38.5326i	0.636647	−	1.39406i
$765$	−0.268768	−	1.86932i	−0.00971732	−	0.0675854i
$766$	−4.18404	−	1.22855i	−0.151176	−	0.0443892i
$767$	16.3341	−	10.4973i	0.589791	−	0.379036i
$768$	6.09570	+	13.3477i	0.219960	+	0.481644i
$769$	22.1879	−	6.51496i	0.800116	−	0.234935i	0.143983	−	0.989580i	$-0.454009\pi$
$769$	22.1879	−	6.51496i	0.800116	−	0.234935i	0.656133	+	0.754645i	$0.272191\pi$
$770$	8.47670	−	9.78263i	0.305479	−	0.352541i
$771$	−10.9415	+	12.6272i	−0.394050	+	0.454758i
$772$	15.4384	−	4.53312i	0.555640	−	0.163151i
$773$	−2.29636	−	5.02832i	−0.0825942	−	0.180856i	0.863829	−	0.503785i	$-0.168060\pi$
$773$	−2.29636	−	5.02832i	−0.0825942	−	0.180856i	−0.946423	+	0.322929i	$0.895332\pi$
$774$		0			0
$775$	22.3483	+	6.56206i	0.802775	+	0.235716i
$776$	5.63520	+	39.1937i	0.202292	+	1.40697i
$777$	3.71558	−	8.13600i	0.133296	−	0.291877i
$778$	−2.24531	+	15.6165i	−0.0804984	+	0.559879i
$779$	5.84189	+	3.75436i	0.209308	+	0.134514i
$780$	−8.78588	−	10.1394i	−0.314585	−	0.363050i
$781$	−64.0689			−2.29256
$782$		0			0
$783$	−6.70820			−0.239732
$784$	−4.21579	−	4.86528i	−0.150564	−	0.173760i
$785$	−11.8713	−	7.62923i	−0.423705	−	0.272299i
$786$	3.67942	−	25.5909i	0.131241	−	0.912799i
$787$	10.2124	−	22.3620i	0.364033	−	0.797120i	−0.635651	−	0.771976i	$-0.719268\pi$
$787$	10.2124	−	22.3620i	0.364033	−	0.797120i	0.999684	−	0.0251437i	$-0.00800434\pi$
$788$	−0.338989	−	2.35772i	−0.0120760	−	0.0839903i
$789$	6.31691	+	1.85481i	0.224888	+	0.0660331i
$790$	−7.03345	+	4.52012i	−0.250239	+	0.160819i
$791$	11.7815	+	25.7978i	0.418900	+	0.917264i
$792$	−22.4679	+	6.59716i	−0.798361	+	0.234420i
$793$	13.6426	−	15.7444i	0.484463	−	0.559100i
$794$	9.88196	−	11.4044i	0.350698	−	0.404727i
$795$	1.25209	−	0.367647i	0.0444071	−	0.0130391i
$796$	8.26200	+	18.0913i	0.292839	+	0.641228i
$797$	−28.9060	+	18.5768i	−1.02390	+	0.658024i	−0.940956	−	0.338530i	$-0.890070\pi$
$797$	−28.9060	+	18.5768i	−1.02390	+	0.658024i	−0.0829491	+	0.996554i	$0.526434\pi$
$798$	−8.58197	−	2.51989i	−0.303798	−	0.0892032i
$799$	0.243103	+	1.69082i	0.00860036	+	0.0598168i
$800$	−8.10333	+	17.7438i	−0.286496	+	0.627338i
$801$	2.98068	−	20.7311i	0.105317	−	0.732497i
$802$	−7.37269	−	4.73814i	−0.260339	−	0.167310i
$803$	22.3834	+	25.8318i	0.789892	+	0.911584i
$804$	−10.0000			−0.352673
$805$		0			0
$806$	12.4377			0.438099
$807$	−11.6329	−	13.4251i	−0.409498	−	0.472585i
$808$	−8.41254	−	5.40641i	−0.295952	−	0.190197i
$809$	−1.72364	+	11.9882i	−0.0606000	+	0.421482i	0.936827	+	0.349793i	$0.113748\pi$
$809$	−1.72364	+	11.9882i	−0.0606000	+	0.421482i	−0.997427	+	0.0716891i	$0.977161\pi$
$810$	−3.49084	+	7.64387i	−0.122656	+	0.268578i
$811$	3.46501	+	24.0997i	0.121673	+	0.846255i	0.955660	+	0.294471i	$0.0951435\pi$
$811$	3.46501	+	24.0997i	0.121673	+	0.846255i	−0.833987	+	0.551784i	$0.813947\pi$
$812$	−15.0719	−	4.42551i	−0.528920	−	0.155305i
$813$	−15.0488	+	9.67128i	−0.527784	+	0.339186i
$814$	1.66166	+	3.63853i	0.0582412	+	0.127530i
$815$	6.83601	−	2.00724i	0.239455	−	0.0703104i
$816$	2.07406	−	2.39360i	0.0726068	−	0.0837927i
$817$		0			0
$818$	−12.6669	+	3.71933i	−0.442887	+	0.130043i
$819$	8.06587	+	17.6618i	0.281844	+	0.617153i
$820$	5.84189	−	3.75436i	0.204008	−	0.131108i
$821$	37.3668	+	10.9719i	1.30411	+	0.382921i	0.858733	−	0.512423i	$-0.171252\pi$
$821$	37.3668	+	10.9719i	1.30411	+	0.382921i	0.445376	+	0.895344i	$0.353070\pi$
$822$	−4.30491	−	29.9413i	−0.150151	−	1.04432i
$823$	−16.4259	+	35.9678i	−0.572572	+	1.25376i	0.372845	+	0.927894i	$0.378382\pi$
$823$	−16.4259	+	35.9678i	−0.572572	+	1.25376i	−0.945417	+	0.325864i	$0.894345\pi$
$824$	−1.33029	+	9.25238i	−0.0463429	+	0.322322i
$825$	−34.1990	−	21.9784i	−1.19066	−	0.765189i
$826$	−8.47670	−	9.78263i	−0.294942	−	0.340381i
$827$	1.52786			0.0531290			0.0265645	−	0.999647i	$-0.491543\pi$
$827$	1.52786			0.0531290			0.0265645	+	0.999647i	$0.491543\pi$
$828$		0			0
$829$	40.2492			1.39791			0.698957	−	0.715164i	$-0.253648\pi$
$829$	40.2492			1.39791			0.698957	+	0.715164i	$0.253648\pi$
$830$	4.38432	+	5.05978i	0.152182	+	0.175628i
$831$	−29.1046	−	18.7044i	−1.00963	−	0.648849i
$832$	0.100788	−	0.700995i	0.00349419	−	0.0243026i
$833$	1.10188	−	2.41278i	0.0381778	−	0.0835978i
$834$	−2.10603	−	14.6477i	−0.0729258	−	0.507210i
$835$	−1.81204	−	0.532064i	−0.0627084	−	0.0184128i
$836$	−14.2544	+	9.16077i	−0.493000	+	0.316832i
$837$	6.23123	+	13.6445i	0.215383	+	0.471622i
$838$	2.71807	−	0.798096i	0.0938941	−	0.0275698i
$839$	26.9309	−	31.0799i	0.929758	−	1.07300i	−0.0674054	−	0.997726i	$-0.521472\pi$
$839$	26.9309	−	31.0799i	0.929758	−	1.07300i	0.997163	−	0.0752719i	$-0.0239825\pi$
$840$	−13.0972	+	15.1150i	−0.451897	+	0.521517i
$841$	19.1899	−	5.63465i	0.661719	−	0.194298i
$842$	−2.64232	−	5.78588i	−0.0910604	−	0.199395i
$843$	16.4858	−	10.5948i	0.567802	−	0.364904i
$844$	−36.3538	−	10.6744i	−1.25135	−	0.367429i
$845$	0.703643	+	4.89395i	0.0242061	+	0.168357i
$846$	−1.14818	+	2.51416i	−0.0394752	+	0.0864386i
$847$	−7.56042	+	52.5839i	−0.259779	+	1.80680i
$848$	0.736423	+	0.473271i	0.0252889	+	0.0162522i
$849$	40.5735	+	46.8243i	1.39248	+	1.60701i
$850$	−1.63932			−0.0562282
$851$		0			0
$852$	44.2705			1.51668
$853$	6.93078	+	7.99855i	0.237305	+	0.273865i	0.861893	−	0.507089i	$-0.169279\pi$
$853$	6.93078	+	7.99855i	0.237305	+	0.273865i	−0.624588	+	0.780954i	$0.714733\pi$
$854$	−11.6838	−	7.50871i	−0.399811	−	0.256943i
$855$	0.703643	−	4.89395i	0.0240641	−	0.167369i
$856$	−12.4625	+	27.2890i	−0.425958	+	0.932717i
$857$	−0.209507	−	1.45715i	−0.00715662	−	0.0497754i	0.985930	−	0.167158i	$-0.0534588\pi$
$857$	−0.209507	−	1.45715i	−0.00715662	−	0.0497754i	−0.993087	+	0.117382i	$0.962550\pi$
$858$	−20.8289	−	6.11591i	−0.711086	−	0.208794i
$859$	−14.0558	+	9.03314i	−0.479579	+	0.308207i	−0.758002	−	0.652252i	$-0.773824\pi$
$859$	−14.0558	+	9.03314i	−0.479579	+	0.308207i	0.278423	+	0.960458i	$0.410188\pi$
$860$		0			0
$861$	−24.1069	+	7.07842i	−0.821561	+	0.241232i
$862$	7.09399	−	8.18690i	0.241622	−	0.278847i
$863$	14.1064	−	16.2796i	0.480186	−	0.554165i	−0.463030	−	0.886342i	$-0.653238\pi$
$863$	14.1064	−	16.2796i	0.480186	−	0.554165i	0.943217	+	0.332178i	$0.107783\pi$
$864$	−12.0534	+	3.53921i	−0.410067	+	0.120406i
$865$	11.7815	+	25.7978i	0.400581	+	0.877151i
$866$	9.26486	−	5.95416i	0.314833	−	0.202331i
$867$	−35.2213	−	10.3419i	−1.19618	−	0.351229i
$868$	4.99875	+	34.7671i	0.169669	+	1.18007i
$869$	23.8053	−	52.1264i	0.807541	−	1.76827i
$870$	−0.729308	+	5.07245i	−0.0247259	+	0.171972i
$871$	−6.97550	−	4.48288i	−0.236356	−	0.151897i
$872$		0			0
$873$	35.4164			1.19866
$874$		0			0
$875$	−33.8885			−1.14564
$876$	−15.4665	−	17.8493i	−0.522565	−	0.603073i
$877$	−30.6823	−	19.7183i	−1.03607	−	0.665841i	−0.0920568	−	0.995754i	$-0.529344\pi$
$877$	−30.6823	−	19.7183i	−1.03607	−	0.665841i	−0.944011	+	0.329913i	$0.892981\pi$
$878$	1.64549	−	11.4446i	0.0555325	−	0.386237i
$879$	1.41923	−	3.10767i	0.0478693	−	0.104819i
$880$	1.70778	+	11.8779i	0.0575692	+	0.400402i
$881$	−42.3907	−	12.4470i	−1.42818	−	0.419351i	−0.525916	−	0.850536i	$-0.676277\pi$
$881$	−42.3907	−	12.4470i	−1.42818	−	0.419351i	−0.902264	+	0.431185i	$0.858096\pi$
$882$	3.61049	−	2.32032i	0.121571	−	0.0781292i
$883$	1.66166	+	3.63853i	0.0559193	+	0.122446i	0.935529	−	0.353250i	$-0.114923\pi$
$883$	1.66166	+	3.63853i	0.0559193	+	0.122446i	−0.879610	+	0.475696i	$0.842196\pi$
$884$	3.55800	−	1.04472i	0.119668	−	0.0351378i
$885$	11.7145	−	13.5193i	0.393779	−	0.454445i
$886$	−15.4300	+	17.8072i	−0.518382	+	0.598245i
$887$	−22.1344	+	6.49926i	−0.743201	+	0.218224i	−0.631346	−	0.775501i	$-0.717497\pi$
$887$	−22.1344	+	6.49926i	−0.743201	+	0.218224i	−0.111855	+	0.993725i	$0.535679\pi$
$888$	−2.56741	−	5.62183i	−0.0861565	−	0.188656i
$889$	−19.8508	+	12.7574i	−0.665776	+	0.427868i
$890$	7.67594	+	2.25386i	0.257298	+	0.0755496i
$891$	−8.19687	−	57.0105i	−0.274606	−	1.90992i
$892$	−2.68862	+	5.88726i	−0.0900217	+	0.197120i
$893$	−0.636451	+	4.42662i	−0.0212980	+	0.148131i
$894$	−27.7724	−	17.8483i	−0.928849	−	0.596935i
$895$	−0.573257	−	0.661574i	−0.0191619	−	0.0221140i
$896$	−36.8328			−1.23050
$897$		0			0
$898$	−9.23607			−0.308212
$899$	13.1788	+	15.2092i	0.439538	+	0.507254i
$900$	9.45238	+	6.07468i	0.315079	+	0.202489i
$901$	−0.0513301	+	0.357009i	−0.00171005	+	0.0118937i
$902$	4.66763	−	10.2207i	0.155415	−	0.340312i
$903$		0			0
$904$	18.8029	+	5.52104i	0.625377	+	0.183627i
$905$	17.3160	−	11.1283i	0.575604	−	0.369918i
$906$	−2.43188	−	5.32508i	−0.0807939	−	0.176914i
$907$	38.6188	−	11.3395i	1.28232	−	0.376522i	0.431562	−	0.902083i	$-0.357963\pi$
$907$	38.6188	−	11.3395i	1.28232	−	0.376522i	0.850756	+	0.525561i	$0.176145\pi$
$908$	−12.9061	+	14.8945i	−0.428305	+	0.494290i
$909$	−5.85725	+	6.75963i	−0.194273	+	0.224203i
$910$	−7.11599	+	2.08944i	−0.235893	+	0.0692644i
$911$	13.0045	+	28.4760i	0.430860	+	0.943451i	0.993186	+	0.116536i	$0.0371791\pi$
$911$	13.0045	+	28.4760i	0.430860	+	0.943451i	−0.562327	+	0.826915i	$0.690094\pi$
$912$	6.97550	−	4.48288i	0.230982	−	0.148443i
$913$	−44.0297	−	12.9283i	−1.45717	−	0.427864i
$914$	0.450737	+	3.13495i	0.0149091	+	0.103695i
$915$	7.97327	−	17.4590i	0.263588	−	0.577177i
$916$	−2.76324	+	19.2188i	−0.0913001	+	0.635006i
$917$	50.9303	+	32.7309i	1.68187	+	1.08087i
$918$	−0.691355	−	0.797866i	−0.0228181	−	0.0263335i
$919$	41.1246			1.35658			0.678288	−	0.734796i	$-0.262722\pi$
$919$	41.1246			1.35658			0.678288	+	0.734796i	$0.262722\pi$
$920$		0			0
$921$	−21.3050			−0.702022
$922$	0.595812	+	0.687604i	0.0196220	+	0.0226450i
$923$	30.8809	+	19.8460i	1.01646	+	0.653238i
$924$	8.72460	−	60.6810i	0.287018	−	1.99626i
$925$	1.78288	−	3.90396i	0.0586206	−	0.128361i
$926$	1.75911	+	12.2349i	0.0578079	+	0.402063i
$927$	8.02201	+	2.35548i	0.263477	+	0.0773640i
$928$	−14.1786	+	9.11202i	−0.465434	+	0.299117i
$929$	−9.99311	−	21.8819i	−0.327863	−	0.717921i	0.671878	−	0.740662i	$-0.265488\pi$
$929$	−9.99311	−	21.8819i	−0.327863	−	0.717921i	−0.999741	+	0.0227412i	$0.992761\pi$
$930$	10.9948	−	3.22837i	0.360534	−	0.105862i
$931$	4.54753	−	5.24813i	0.149039	−	0.172001i
$932$	−6.91684	+	7.98246i	−0.226569	+	0.261474i
$933$	28.2783	−	8.30326i	0.925790	−	0.271837i
$934$	−3.35194	−	7.33971i	−0.109679	−	0.240163i
$935$	−4.15939	+	2.67308i	−0.136026	+	0.0874189i
$936$	12.8729	+	3.77984i	0.420766	+	0.123548i
$937$	−4.86437	−	33.8324i	−0.158912	−	1.10526i	−0.900643	−	0.434560i	$-0.856904\pi$
$937$	−4.86437	−	33.8324i	−0.158912	−	1.10526i	0.741731	−	0.670698i	$-0.234005\pi$
$938$	−2.29636	+	5.02832i	−0.0749787	+	0.164181i
$939$	7.75219	−	53.9177i	0.252983	−	1.75954i
$940$	3.76220	+	2.41782i	0.122709	+	0.0788606i
$941$	−4.35645	−	5.02761i	−0.142016	−	0.163895i	0.680286	−	0.732947i	$-0.261856\pi$
$941$	−4.35645	−	5.02761i	−0.142016	−	0.163895i	−0.822302	+	0.569052i	$0.807310\pi$
$942$	15.7771			0.514045
$943$		0			0
$944$	12.0000			0.390567
$945$	−5.85725	−	6.75963i	−0.190536	−	0.219891i
$946$		0			0
$947$	1.53980	−	10.7095i	0.0500367	−	0.348013i	−0.949388	−	0.314105i	$-0.898296\pi$
$947$	1.53980	−	10.7095i	0.0500367	−	0.348013i	0.999425	−	0.0339080i	$-0.0107953\pi$
$948$	−16.4491	+	36.0185i	−0.534241	+	1.16983i
$949$	−2.78704	−	19.3843i	−0.0904710	−	0.629240i
$950$	−4.11795	−	1.20914i	−0.133604	−	0.0392296i
$951$	−47.8108	+	30.7261i	−1.55037	+	0.996363i
$952$	−2.29636	−	5.02832i	−0.0744254	−	0.162969i
$953$	−19.6429	+	5.76767i	−0.636295	+	0.186833i	−0.583942	−	0.811796i	$-0.698490\pi$
$953$	−19.6429	+	5.76767i	−0.636295	+	0.186833i	−0.0523532	+	0.998629i	$0.516672\pi$
$954$	−0.382172	+	0.441050i	−0.0123733	+	0.0142795i
$955$	21.1917	−	24.4566i	0.685749	−	0.791396i
$956$	21.3684	−	6.27433i	0.691103	−	0.202926i
$957$	−14.5913	−	31.9505i	−0.471669	−	1.03281i
$958$	16.4279	−	10.5576i	0.530761	−	0.341099i
$959$	67.9636	+	19.9559i	2.19466	+	0.644410i
$960$	−0.0928570	−	0.645835i	−0.00299695	−	0.0208442i
$961$	5.81581	−	12.7348i	0.187607	−	0.410802i
$962$	0.326157	−	2.26847i	0.0105157	−	0.0731384i
$963$	22.5732	+	14.5069i	0.727411	+	0.467479i
$964$	−24.5025	−	28.2774i	−0.789174	−	0.910755i
$965$	12.2918			0.395687
$966$		0			0
$967$	27.5410			0.885659			0.442830	−	0.896606i	$-0.353975\pi$
$967$	27.5410			0.885659			0.442830	+	0.896606i	$0.353975\pi$
$968$	24.0388	+	27.7422i	0.772635	+	0.891668i
$969$	2.87407	+	1.84705i	0.0923283	+	0.0593358i
$970$	−1.92522	+	13.3902i	−0.0618150	+	0.429932i
$971$	6.84277	−	14.9836i	0.219595	−	0.480846i	−0.767486	−	0.641065i	$-0.778493\pi$
$971$	6.84277	−	14.9836i	0.219595	−	0.480846i	0.987081	+	0.160219i	$0.0512201\pi$
$972$	4.11920	+	28.6497i	0.132123	+	0.918938i
$973$	33.2488	+	9.76273i	1.06591	+	0.312979i
$974$	−7.64714	+	4.91452i	−0.245030	+	0.157471i
$975$	9.67576	+	21.1870i	0.309872	+	0.678526i
$976$	12.3538	−	3.62742i	0.395437	−	0.116111i
$977$	15.2894	−	17.6449i	0.489151	−	0.564510i	−0.456488	−	0.889730i	$-0.650893\pi$
$977$	15.2894	−	17.6449i	0.489151	−	0.564510i	0.945638	+	0.325220i	$0.105438\pi$
$978$	−5.21633	+	6.01997i	−0.166800	+	0.192497i
$979$	−52.6117	+	15.4482i	−1.68148	+	0.493726i
$980$	−2.88475	−	6.31673i	−0.0921501	−	0.201781i
$981$		0			0
$982$	−4.95008	−	1.45347i	−0.157963	−	0.0463822i
$983$	5.75979	+	40.0602i	0.183709	+	1.27772i	0.847899	+	0.530158i	$0.177867\pi$
$983$	5.75979	+	40.0602i	0.183709	+	1.27772i	−0.664190	+	0.747564i	$0.731224\pi$
$984$	−7.21189	+	15.7918i	−0.229907	+	0.503425i
$985$	0.258965	−	1.80114i	0.00825130	−	0.0573890i
$986$	−1.19156	−	0.765768i	−0.0379469	−	0.0243870i
$987$	−10.5959	−	12.2283i	−0.337270	−	0.389231i
$988$	9.70820			0.308859
$989$		0			0
$990$	−8.00000			−0.254257
$991$	−15.7167	−	18.1380i	−0.499256	−	0.576172i	0.449059	−	0.893502i	$-0.351759\pi$
$991$	−15.7167	−	18.1380i	−0.499256	−	0.576172i	−0.948315	+	0.317330i	$0.897214\pi$
$992$	31.7043	+	20.3751i	1.00661	+	0.646910i
$993$	−6.25392	+	43.4970i	−0.198462	+	1.38034i
$994$	10.1661	−	22.2606i	0.322449	−	0.706065i
$995$	2.16226	+	15.0388i	0.0685482	+	0.476764i
$996$	30.4238	+	8.93323i	0.964015	+	0.283060i
$997$	14.1607	−	9.10051i	0.448473	−	0.288216i	−0.296845	−	0.954926i	$-0.595934\pi$
$997$	14.1607	−	9.10051i	0.448473	−	0.288216i	0.745317	+	0.666710i	$0.232298\pi$
$998$	4.95299	+	10.8455i	0.156784	+	0.343309i
$999$	2.65197	−	0.778690i	0.0839047	−	0.0246366i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.o.266.1		20
23.2	even	11	inner	529.2.c.o.466.2		20
23.3	even	11	inner	529.2.c.o.255.2		20
23.4	even	11		23.2.a.a.1.2	✓	2
23.5	odd	22		529.2.c.n.118.1		20
23.6	even	11	inner	529.2.c.o.399.1		20
23.7	odd	22		529.2.c.n.177.1		20
23.8	even	11	inner	529.2.c.o.487.2		20
23.9	even	11	inner	529.2.c.o.501.1		20
23.10	odd	22		529.2.c.n.334.2		20
23.11	odd	22		529.2.c.n.170.1		20
23.12	even	11	inner	529.2.c.o.170.1		20
23.13	even	11	inner	529.2.c.o.334.2		20
23.14	odd	22		529.2.c.n.501.1		20
23.15	odd	22		529.2.c.n.487.2		20
23.16	even	11	inner	529.2.c.o.177.1		20
23.17	odd	22		529.2.c.n.399.1		20
23.18	even	11	inner	529.2.c.o.118.1		20
23.19	odd	22		529.2.a.a.1.2		2
23.20	odd	22		529.2.c.n.255.2		20
23.21	odd	22		529.2.c.n.466.2		20
23.22	odd	2		529.2.c.n.266.1		20
69.50	odd	22		207.2.a.d.1.1		2
69.65	even	22		4761.2.a.w.1.1		2
92.19	even	22		8464.2.a.bb.1.2		2
92.27	odd	22		368.2.a.h.1.2		2
115.4	even	22		575.2.a.f.1.1		2
115.27	odd	44		575.2.b.d.24.3		4
115.73	odd	44		575.2.b.d.24.2		4
161.27	odd	22		1127.2.a.c.1.2		2
184.27	odd	22		1472.2.a.s.1.1		2
184.165	even	22		1472.2.a.t.1.2		2
253.142	odd	22		2783.2.a.c.1.1		2
276.119	even	22		3312.2.a.ba.1.1		2
299.142	even	22		3887.2.a.i.1.1		2
345.119	odd	22		5175.2.a.be.1.2		2
391.50	even	22		6647.2.a.b.1.2		2
437.303	odd	22		8303.2.a.e.1.1		2
460.119	odd	22		9200.2.a.bt.1.1		2

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.a.a.1.2	✓	2	23.4	even	11
207.2.a.d.1.1		2	69.50	odd	22
368.2.a.h.1.2		2	92.27	odd	22
529.2.a.a.1.2		2	23.19	odd	22
529.2.c.n.118.1		20	23.5	odd	22
529.2.c.n.170.1		20	23.11	odd	22
529.2.c.n.177.1		20	23.7	odd	22
529.2.c.n.255.2		20	23.20	odd	22
529.2.c.n.266.1		20	23.22	odd	2
529.2.c.n.334.2		20	23.10	odd	22
529.2.c.n.399.1		20	23.17	odd	22
529.2.c.n.466.2		20	23.21	odd	22
529.2.c.n.487.2		20	23.15	odd	22
529.2.c.n.501.1		20	23.14	odd	22
529.2.c.o.118.1		20	23.18	even	11	inner
529.2.c.o.170.1		20	23.12	even	11	inner
529.2.c.o.177.1		20	23.16	even	11	inner
529.2.c.o.255.2		20	23.3	even	11	inner
529.2.c.o.266.1		20	1.1	even	1	trivial
529.2.c.o.334.2		20	23.13	even	11	inner
529.2.c.o.399.1		20	23.6	even	11	inner
529.2.c.o.466.2		20	23.2	even	11	inner
529.2.c.o.487.2		20	23.8	even	11	inner
529.2.c.o.501.1		20	23.9	even	11	inner
575.2.a.f.1.1		2	115.4	even	22
575.2.b.d.24.2		4	115.73	odd	44
575.2.b.d.24.3		4	115.27	odd	44
1127.2.a.c.1.2		2	161.27	odd	22
1472.2.a.s.1.1		2	184.27	odd	22
1472.2.a.t.1.2		2	184.165	even	22
2783.2.a.c.1.1		2	253.142	odd	22
3312.2.a.ba.1.1		2	276.119	even	22
3887.2.a.i.1.1		2	299.142	even	22
4761.2.a.w.1.1		2	69.65	even	22
5175.2.a.be.1.2		2	345.119	odd	22
6647.2.a.b.1.2		2	391.50	even	22
8303.2.a.e.1.1		2	437.303	odd	22
8464.2.a.bb.1.2		2	92.19	even	22
9200.2.a.bt.1.1		2	460.119	odd	22

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:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.404726 - 0.467079i) q^{2} +(-1.88110 - 1.20891i) q^{3} +(0.230270 - 1.60156i) q^{4} +(0.513481 - 1.12437i) q^{5} +(0.196674 + 1.36790i) q^{6} +(-3.10498 - 0.911706i) q^{7} +(-1.88110 + 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +O(q^{10})\)	\(q+(-0.404726 - 0.467079i) q^{2} +(-1.88110 - 1.20891i) q^{3} +(0.230270 - 1.60156i) q^{4} +(0.513481 - 1.12437i) q^{5} +(0.196674 + 1.36790i) q^{6} +(-3.10498 - 0.911706i) q^{7} +(-1.88110 + 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +(-0.732987 + 0.215225i) q^{10} +(3.42890 - 3.95716i) q^{11} +(-2.36931 + 2.73433i) q^{12} +(-2.87848 + 0.845198i) q^{13} +(0.830830 + 1.81926i) q^{14} +(-2.32517 + 1.49429i) q^{15} +(-1.77900 - 0.522361i) q^{16} +(-0.108719 - 0.756156i) q^{17} +(0.513481 - 1.12437i) q^{18} +(0.284630 - 1.97964i) q^{19} +(-1.68251 - 1.08128i) q^{20} +(4.73862 + 5.46866i) q^{21} -3.23607 q^{22} +5.00000 q^{24} +(2.27377 + 2.62407i) q^{25} +(1.55977 + 1.00240i) q^{26} +(-0.318226 + 2.21331i) q^{27} +(-2.17514 + 4.76289i) q^{28} +(0.426945 + 2.96946i) q^{29} +(1.63901 + 0.481257i) q^{30} +(5.64330 - 3.62673i) q^{31} +(2.33382 + 5.11034i) q^{32} +(-11.2339 + 3.29858i) q^{33} +(-0.309183 + 0.356817i) q^{34} +(-2.61944 + 3.02300i) q^{35} +(3.10498 - 0.911706i) q^{36} +(-0.513481 - 1.12437i) q^{37} +(-1.03985 + 0.668269i) q^{38} +(6.43647 + 1.88992i) q^{39} +(0.393349 + 2.73580i) q^{40} +(-1.44238 + 3.15837i) q^{41} +(0.636451 - 4.42662i) q^{42} +(-5.54807 - 6.40281i) q^{44} +2.47214 q^{45} -2.23607 q^{47} +(2.71499 + 3.13326i) q^{48} +(2.92095 + 1.87718i) q^{49} +(0.305393 - 2.12406i) q^{50} +(-0.709614 + 1.55384i) q^{51} +(0.690811 + 4.80469i) q^{52} +(-0.453011 - 0.133016i) q^{53} +(1.16258 - 0.747147i) q^{54} +(-2.68862 - 5.88726i) q^{55} +(6.94296 - 2.03864i) q^{56} +(-2.92863 + 3.37981i) q^{57} +(1.21418 - 1.40124i) q^{58} +(-6.20997 + 1.82341i) q^{59} +(1.85779 + 4.06800i) q^{60} +(-5.84189 + 3.75436i) q^{61} +(-3.97796 - 1.16803i) q^{62} +(-0.921081 - 6.40626i) q^{63} +(-0.0980662 + 0.214735i) q^{64} +(-0.527732 + 3.67046i) q^{65} +(6.08737 + 3.91211i) q^{66} +(1.80999 + 2.08884i) q^{67} -1.23607 q^{68} +2.47214 q^{70} +(-8.01292 - 9.24740i) q^{71} +(-3.76220 - 2.41782i) q^{72} +(-0.929012 + 6.46142i) q^{73} +(-0.317349 + 0.694897i) q^{74} +(-1.10492 - 7.68491i) q^{75} +(-3.10498 - 0.911706i) q^{76} +(-14.2544 + 9.16077i) q^{77} +(-1.72227 - 3.77124i) q^{78} +(10.5010 - 3.08336i) q^{79} +(-1.50081 + 1.73202i) q^{80} +(7.20347 - 8.31325i) q^{81} +(2.05897 - 0.604569i) q^{82} +(-3.64067 - 7.97195i) q^{83} +(9.84957 - 6.32993i) q^{84} +(-0.906022 - 0.266032i) q^{85} +(2.78669 - 6.10200i) q^{87} +(-1.66625 + 11.5890i) q^{88} +(-8.80972 - 5.66166i) q^{89} +(-1.00054 - 1.15468i) q^{90} +9.70820 q^{91} -15.0000 q^{93} +(0.904995 + 1.04442i) q^{94} +(-2.07969 - 1.33654i) q^{95} +(1.78780 - 12.4344i) q^{96} +(7.35625 - 16.1079i) q^{97} +(-0.305393 - 2.12406i) q^{98} +(10.0479 + 2.95034i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9}+O(q^{10}) \) 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9	\( 20 q + q^{2} + q^{4} + 2 q^{5} + 5 q^{6} - 2 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{11} - 5 q^{12} - 6 q^{13} - 4 q^{14} + 10 q^{15} + 3 q^{16} - 6 q^{17} + 2 q^{18} + 4 q^{19} + 4 q^{20} + 10 q^{21} - 20 q^{22} + 100 q^{24} - 2 q^{25} + 3 q^{26} + 6 q^{28} + 6 q^{29} - 10 q^{30} - 9 q^{32} - 10 q^{33} + 8 q^{34} - 8 q^{35} + 2 q^{36} - 2 q^{37} - 2 q^{38} + 10 q^{40} - 2 q^{41} - 8 q^{44} - 40 q^{45} + 15 q^{48} + 2 q^{49} + 11 q^{50} - 10 q^{51} + 3 q^{52} + 8 q^{53} - 5 q^{54} + 4 q^{55} + 10 q^{56} - 3 q^{58} - 4 q^{59} - 4 q^{61} - 15 q^{62} - 4 q^{63} - 4 q^{64} + 6 q^{65} - 10 q^{66} + 10 q^{67} + 20 q^{68} - 40 q^{70} - 20 q^{71} - 22 q^{73} + 6 q^{74} - 20 q^{75} - 2 q^{76} + 16 q^{77} + 15 q^{78} + 4 q^{79} - 18 q^{80} + 22 q^{81} + 11 q^{82} + 22 q^{83} - 10 q^{84} + 16 q^{85} - 10 q^{88} + 12 q^{89} - 12 q^{90} + 60 q^{91} - 300 q^{93} + 5 q^{94} - 4 q^{95} + 5 q^{96} - 22 q^{97} - 11 q^{98} + 12 q^{99}+O(q^{100}) \) 20 * q + q^2 + q^4 + 2 * q^5 + 5 * q^6 - 2 * q^7 - 4 * q^9 - 6 * q^10 + 6 * q^11 - 5 * q^12 - 6 * q^13 - 4 * q^14 + 10 * q^15 + 3 * q^16 - 6 * q^17 + 2 * q^18 + 4 * q^19 + 4 * q^20 + 10 * q^21 - 20 * q^22 + 100 * q^24 - 2 * q^25 + 3 * q^26 + 6 * q^28 + 6 * q^29 - 10 * q^30 - 9 * q^32 - 10 * q^33 + 8 * q^34 - 8 * q^35 + 2 * q^36 - 2 * q^37 - 2 * q^38 + 10 * q^40 - 2 * q^41 - 8 * q^44 - 40 * q^45 + 15 * q^48 + 2 * q^49 + 11 * q^50 - 10 * q^51 + 3 * q^52 + 8 * q^53 - 5 * q^54 + 4 * q^55 + 10 * q^56 - 3 * q^58 - 4 * q^59 - 4 * q^61 - 15 * q^62 - 4 * q^63 - 4 * q^64 + 6 * q^65 - 10 * q^66 + 10 * q^67 + 20 * q^68 - 40 * q^70 - 20 * q^71 - 22 * q^73 + 6 * q^74 - 20 * q^75 - 2 * q^76 + 16 * q^77 + 15 * q^78 + 4 * q^79 - 18 * q^80 + 22 * q^81 + 11 * q^82 + 22 * q^83 - 10 * q^84 + 16 * q^85 - 10 * q^88 + 12 * q^89 - 12 * q^90 + 60 * q^91 - 300 * q^93 + 5 * q^94 - 4 * q^95 + 5 * q^96 - 22 * q^97 - 11 * q^98 + 12 * q^99

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