LMFDB - Embedded newform 529.2.c.o.266.2

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			266.2
Root			$1.55249 - 0.455853i$ of defining polynomial
Character	$\chi$	$=$	529.266
Dual form			529.2.c.o.177.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.05959 + 1.22283i) q^{2} +(1.88110 + 1.20891i) q^{3} +(-0.0879554 + 0.611743i) q^{4} +(-1.34431 + 2.94363i) q^{5} +(0.514900 + 3.58121i) q^{6} +(1.18600 + 0.348241i) q^{7} +(1.88110 - 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +O(q^{10})$	\(q+(1.05959 + 1.22283i) q^{2} +(1.88110 + 1.20891i) q^{3} +(-0.0879554 + 0.611743i) q^{4} +(-1.34431 + 2.94363i) q^{5} +(0.514900 + 3.58121i) q^{6} +(1.18600 + 0.348241i) q^{7} +(1.88110 - 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +(-5.02397 + 1.47517i) q^{10} +(0.500269 - 0.577341i) q^{11} +(-0.904995 + 1.04442i) q^{12} +(-2.87848 + 0.845198i) q^{13} +(0.830830 + 1.81926i) q^{14} +(-6.08737 + 3.91211i) q^{15} +(4.65748 + 1.36756i) q^{16} +(-0.745170 - 5.18277i) q^{17} +(-1.34431 + 2.94363i) q^{18} +(0.284630 - 1.97964i) q^{19} +(-1.68251 - 1.08128i) q^{20} +(1.80999 + 2.08884i) q^{21} +1.23607 q^{22} +5.00000 q^{24} +(-3.58349 - 4.13556i) q^{25} +(-4.08353 - 2.62433i) q^{26} +(0.318226 - 2.21331i) q^{27} +(-0.317349 + 0.694897i) q^{28} +(0.426945 + 2.96946i) q^{29} +(-11.2339 - 3.29858i) q^{30} +(-5.64330 + 3.62673i) q^{31} +(1.40492 + 3.07634i) q^{32} +(1.63901 - 0.481257i) q^{33} +(5.54807 - 6.40281i) q^{34} +(-2.61944 + 3.02300i) q^{35} +(-1.18600 + 0.348241i) q^{36} +(1.34431 + 2.94363i) q^{37} +(2.72235 - 1.74955i) q^{38} +(-6.43647 - 1.88992i) q^{39} +(1.02980 + 7.16242i) q^{40} +(2.27321 - 4.97763i) q^{41} +(-0.636451 + 4.42662i) q^{42} +(0.309183 + 0.356817i) q^{44} -6.47214 q^{45} +2.23607 q^{47} +(7.10793 + 8.20298i) q^{48} +(-4.60345 - 2.95846i) q^{49} +(1.26007 - 8.76398i) q^{50} +(4.86376 - 10.6502i) q^{51} +(-0.263866 - 1.83523i) q^{52} +(8.12895 + 2.38688i) q^{53} +(3.04368 - 1.95606i) q^{54} +(1.02696 + 2.24873i) q^{55} +(2.65197 - 0.778690i) q^{56} +(2.92863 - 3.37981i) q^{57} +(-3.17876 + 3.66849i) q^{58} +(2.37200 - 0.696481i) q^{59} +(-1.85779 - 4.06800i) q^{60} +(9.20691 - 5.91692i) q^{61} +(-10.4144 - 3.05795i) q^{62} +(0.351822 + 2.44697i) q^{63} +(1.75973 - 3.85326i) q^{64} +(1.38162 - 9.60939i) q^{65} +(2.32517 + 1.49429i) q^{66} +(4.73862 + 5.46866i) q^{67} +3.23607 q^{68} -6.47214 q^{70} +(-5.08429 - 5.86759i) q^{71} +(3.76220 + 2.41782i) q^{72} +(-2.20191 + 15.3147i) q^{73} +(-2.17514 + 4.76289i) q^{74} +(-1.74137 - 12.1115i) q^{75} +(1.18600 + 0.348241i) q^{76} +(0.794372 - 0.510512i) q^{77} +(-4.50896 - 9.87324i) q^{78} +(-6.66298 + 1.95643i) q^{79} +(-10.2867 + 11.8715i) q^{80} +(7.20347 - 8.31325i) q^{81} +(8.49545 - 2.49449i) q^{82} +(-5.49846 - 12.0400i) q^{83} +(-1.43703 + 0.923525i) q^{84} +(16.2579 + 4.77375i) q^{85} +(-2.78669 + 6.10200i) q^{87} +(0.243103 - 1.69082i) q^{88} +(-1.28532 - 0.826026i) q^{89} +(-6.85779 - 7.91431i) q^{90} -3.70820 q^{91} -15.0000 q^{93} +(2.36931 + 2.73433i) q^{94} +(5.44471 + 3.49910i) q^{95} +(-1.07623 + 7.48533i) q^{96} +(1.78288 - 3.90396i) q^{97} +(-1.26007 - 8.76398i) q^{98} +(1.46597 + 0.430449i) 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 $

$2$	1.05959	+	1.22283i	0.749241	+	0.864670i	0.994495	−	0.104789i	$-0.0334166\pi$
$2$	1.05959	+	1.22283i	0.749241	+	0.864670i	−0.245253	+	0.969459i	$0.578871\pi$
$3$	1.88110	+	1.20891i	1.08605	+	0.697964i	0.955948	−	0.293536i	$-0.0948320\pi$
$3$	1.88110	+	1.20891i	1.08605	+	0.697964i	0.130106	+	0.991500i	$0.458468\pi$
$4$	−0.0879554	+	0.611743i	−0.0439777	+	0.305872i
$5$	−1.34431	+	2.94363i	−0.601194	+	1.31643i	0.327242	+	0.944941i	$0.393881\pi$
$5$	−1.34431	+	2.94363i	−0.601194	+	1.31643i	−0.928436	+	0.371491i	$0.878847\pi$
$6$	0.514900	+	3.58121i	0.210207	+	1.46202i
$7$	1.18600	+	0.348241i	0.448265	+	0.131623i	0.498071	−	0.867136i	$-0.334042\pi$
$7$	1.18600	+	0.348241i	0.448265	+	0.131623i	−0.0498055	+	0.998759i	$0.515860\pi$
$8$	1.88110	−	1.20891i	0.665069	−	0.427414i
$9$	0.830830	+	1.81926i	0.276943	+	0.606421i
$10$	−5.02397	+	1.47517i	−1.58872	+	0.466490i
$11$	0.500269	−	0.577341i	0.150837	−	0.174075i	−0.675303	−	0.737541i	$-0.735987\pi$
$11$	0.500269	−	0.577341i	0.150837	−	0.174075i	0.826139	+	0.563466i	$0.190532\pi$
$12$	−0.904995	+	1.04442i	−0.261250	+	0.301498i
$13$	−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
$15$	−6.08737	+	3.91211i	−1.57175	+	1.01010i
$16$	4.65748	+	1.36756i	1.16437	+	0.341890i
$17$	−0.745170	−	5.18277i	−0.180730	−	1.25701i	−0.855041	−	0.518560i	$-0.826468\pi$
$17$	−0.745170	−	5.18277i	−0.180730	−	1.25701i	0.674311	−	0.738447i	$-0.264441\pi$
$18$	−1.34431	+	2.94363i	−0.316857	+	0.693820i
$19$	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
$21$	1.80999	+	2.08884i	0.394972	+	0.455822i
$22$	1.23607			0.263531
$23$		0			0
$23$		0			0
$24$	5.00000			1.02062
$25$	−3.58349	−	4.13556i	−0.716697	−	0.827113i
$26$	−4.08353	−	2.62433i	−0.800846	−	0.514673i
$27$	0.318226	−	2.21331i	0.0612426	−	0.425951i
$28$	−0.317349	+	0.694897i	−0.0599733	+	0.131323i
$29$	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	$0.864694\pi$
$30$	−11.2339	−	3.29858i	−2.05103	−	0.602236i
$31$	−5.64330	+	3.62673i	−1.01357	+	0.651380i	−0.938314	−	0.345785i	$-0.887613\pi$
$31$	−5.64330	+	3.62673i	−1.01357	+	0.651380i	−0.0752528	+	0.997164i	$0.523976\pi$
$32$	1.40492	+	3.07634i	0.248357	+	0.543826i
$33$	1.63901	−	0.481257i	0.285315	−	0.0837760i
$34$	5.54807	−	6.40281i	0.951486	−	1.09807i
$35$	−2.61944	+	3.02300i	−0.442767	+	0.510980i
$36$	−1.18600	+	0.348241i	−0.197666	+	0.0580401i
$37$	1.34431	+	2.94363i	0.221003	+	0.483930i	0.987362	−	0.158484i	$-0.0506605\pi$
$37$	1.34431	+	2.94363i	0.221003	+	0.483930i	−0.766358	+	0.642413i	$0.777933\pi$
$38$	2.72235	−	1.74955i	0.441624	−	0.283815i
$39$	−6.43647	−	1.88992i	−1.03066	−	0.302629i
$40$	1.02980	+	7.16242i	0.162826	+	1.13248i
$41$	2.27321	−	4.97763i	0.355015	−	0.777375i	−0.644899	−	0.764268i	$-0.723100\pi$
$41$	2.27321	−	4.97763i	0.355015	−	0.777375i	0.999914	−	0.0131072i	$-0.00417226\pi$
$42$	−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	$0.681818\pi$
$44$	0.309183	+	0.356817i	0.0466111	+	0.0537921i
$45$	−6.47214			−0.964809
$46$		0			0
$47$	2.23607			0.326164			0.163082	−	0.986613i	$-0.447856\pi$
$47$	2.23607			0.326164			0.163082	+	0.986613i	$0.447856\pi$
$48$	7.10793	+	8.20298i	1.02594	+	1.18400i
$49$	−4.60345	−	2.95846i	−0.657636	−	0.422637i
$50$	1.26007	−	8.76398i	0.178201	−	1.23941i
$51$	4.86376	−	10.6502i	0.681063	−	1.49132i
$52$	−0.263866	−	1.83523i	−0.0365917	−	0.254501i
$53$	8.12895	+	2.38688i	1.11660	+	0.327863i	0.787427	−	0.616408i	$-0.211413\pi$
$53$	8.12895	+	2.38688i	1.11660	+	0.327863i	0.329171	+	0.944270i	$0.393231\pi$
$54$	3.04368	−	1.95606i	0.414193	−	0.266186i
$55$	1.02696	+	2.24873i	0.138476	+	0.303219i
$56$	2.65197	−	0.778690i	0.354385	−	0.104057i
$57$	2.92863	−	3.37981i	0.387906	−	0.447667i
$58$	−3.17876	+	3.66849i	−0.417392	+	0.481696i
$59$	2.37200	−	0.696481i	0.308808	−	0.0906741i	−0.123657	−	0.992325i	$-0.539462\pi$
$59$	2.37200	−	0.696481i	0.308808	−	0.0906741i	0.432465	+	0.901651i	$0.357644\pi$
$60$	−1.85779	−	4.06800i	−0.239840	−	0.525176i
$61$	9.20691	−	5.91692i	1.17882	−	0.757584i	0.203654	−	0.979043i	$-0.434718\pi$
$61$	9.20691	−	5.91692i	1.17882	−	0.757584i	0.975170	+	0.221459i	$0.0710819\pi$
$62$	−10.4144	−	3.05795i	−1.32263	−	0.388361i
$63$	0.351822	+	2.44697i	0.0443254	+	0.308290i
$64$	1.75973	−	3.85326i	0.219966	−	0.481658i
$65$	1.38162	−	9.60939i	0.171369	−	1.19190i
$66$	2.32517	+	1.49429i	0.286208	+	0.183935i
$67$	4.73862	+	5.46866i	0.578914	+	0.668103i	0.967371	−	0.253364i	$-0.0815372\pi$
$67$	4.73862	+	5.46866i	0.578914	+	0.668103i	−0.388457	+	0.921467i	$0.626992\pi$
$68$	3.23607			0.392431
$69$		0			0
$70$	−6.47214			−0.773568
$71$	−5.08429	−	5.86759i	−0.603395	−	0.696355i	0.369071	−	0.929401i	$-0.379676\pi$
$71$	−5.08429	−	5.86759i	−0.603395	−	0.696355i	−0.972466	+	0.233047i	$0.925131\pi$
$72$	3.76220	+	2.41782i	0.443380	+	0.284943i
$73$	−2.20191	+	15.3147i	−0.257715	+	1.79244i	0.291300	+	0.956632i	$0.405912\pi$
$73$	−2.20191	+	15.3147i	−0.257715	+	1.79244i	−0.549015	+	0.835813i	$0.684997\pi$
$74$	−2.17514	+	4.76289i	−0.252855	+	0.553675i
$75$	−1.74137	−	12.1115i	−0.201077	−	1.39852i
$76$	1.18600	+	0.348241i	0.136043	+	0.0399459i
$77$	0.794372	−	0.510512i	0.0905271	−	0.0581782i
$78$	−4.50896	−	9.87324i	−0.510539	−	1.11792i
$79$	−6.66298	+	1.95643i	−0.749644	+	0.220115i	−0.634168	−	0.773195i	$-0.718657\pi$
$79$	−6.66298	+	1.95643i	−0.749644	+	0.220115i	−0.115476	+	0.993310i	$0.536839\pi$
$80$	−10.2867	+	11.8715i	−1.15009	+	1.32727i
$81$	7.20347	−	8.31325i	0.800385	−	0.923694i
$82$	8.49545	−	2.49449i	0.938165	−	0.275470i
$83$	−5.49846	−	12.0400i	−0.603535	−	1.32156i	−0.926909	−	0.375285i	$-0.877545\pi$
$83$	−5.49846	−	12.0400i	−0.603535	−	1.32156i	0.323375	−	0.946271i	$-0.395183\pi$
$84$	−1.43703	+	0.923525i	−0.156793	+	0.100765i
$85$	16.2579	+	4.77375i	1.76342	+	0.517786i
$86$		0			0
$87$	−2.78669	+	6.10200i	−0.298764	+	0.654203i
$88$	0.243103	−	1.69082i	0.0259148	−	0.180242i
$89$	−1.28532	−	0.826026i	−0.136244	−	0.0875585i	0.470743	−	0.882270i	$-0.343986\pi$
$89$	−1.28532	−	0.826026i	−0.136244	−	0.0875585i	−0.606987	+	0.794712i	$0.707622\pi$
$90$	−6.85779	−	7.91431i	−0.722875	−	0.834242i
$91$	−3.70820			−0.388725
$92$		0			0
$93$	−15.0000			−1.55543
$94$	2.36931	+	2.73433i	0.244376	+	0.282024i
$95$	5.44471	+	3.49910i	0.558615	+	0.359000i
$96$	−1.07623	+	7.48533i	−0.109842	+	0.763969i
$97$	1.78288	−	3.90396i	0.181024	−	0.396387i	−0.797266	−	0.603628i	$-0.793721\pi$
$97$	1.78288	−	3.90396i	0.181024	−	0.396387i	0.978290	+	0.207241i	$0.0664485\pi$
$98$	−1.26007	−	8.76398i	−0.127286	−	0.885296i
$99$	1.46597	+	0.430449i	0.147336	+	0.0432618i
$100$	2.84509	−	1.82843i	0.284509	−	0.182843i
$101$	−1.85779	−	4.06800i	−0.184857	−	0.404781i	0.794402	−	0.607392i	$-0.207784\pi$
$101$	−1.85779	−	4.06800i	−0.184857	−	0.404781i	−0.979259	+	0.202611i	$0.935057\pi$
$102$	18.1769	−	5.33722i	1.79978	−	0.528463i
$103$	−11.9056	+	13.7398i	−1.17309	+	1.35382i	−0.250467	+	0.968125i	$0.580584\pi$
$103$	−11.9056	+	13.7398i	−1.17309	+	1.35382i	−0.922626	+	0.385696i	$0.873961\pi$
$104$	−4.39294	+	5.06972i	−0.430763	+	0.497127i
$105$	−8.58197	+	2.51989i	−0.837514	+	0.245916i
$106$	5.69459	+	12.4694i	0.553108	+	1.21114i
$107$	−11.2866	+	7.25346i	−1.09112	+	0.701218i	−0.957099	−	0.289761i	$-0.906424\pi$
$107$	−11.2866	+	7.25346i	−1.09112	+	0.701218i	−0.134018	+	0.990979i	$0.542788\pi$
$108$	1.32599	+	0.389345i	0.127593	+	0.0374647i
$109$		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
$111$	−1.02980	+	7.16242i	−0.0977443	+	0.679826i
$112$	5.04752	+	3.24384i	0.476946	+	0.306515i
$113$	−8.66778	−	10.0032i	−0.815396	−	0.941017i	0.183723	−	0.982978i	$-0.441185\pi$
$113$	−8.66778	−	10.0032i	−0.815396	−	0.941017i	−0.999119	+	0.0419606i	$0.986640\pi$
$114$	7.23607			0.677720
$115$		0			0
$116$	−1.85410			−0.172149
$117$	−3.92916	−	4.53450i	−0.363251	−	0.419214i
$118$	3.36501	+	2.16256i	0.309775	+	0.199080i
$119$	0.921081	−	6.40626i	0.0844354	−	0.587261i
$120$	−6.72156	+	14.7182i	−0.613591	+	1.34358i
$121$	1.48241	+	10.3104i	0.134764	+	0.937308i
$122$	16.9909	+	4.98898i	1.53828	+	0.451681i
$123$	10.2936	−	6.61532i	0.928146	−	0.596483i
$124$	−1.72227	−	3.77124i	−0.154664	−	0.338667i
$125$	1.46597	−	0.430449i	0.131121	−	0.0385005i
$126$	−2.61944	+	3.02300i	−0.233359	+	0.269310i
$127$	13.5610	−	15.6502i	1.20334	−	1.38873i	0.303321	−	0.952888i	$-0.401905\pi$
$127$	13.5610	−	15.6502i	1.20334	−	1.38873i	0.900022	−	0.435844i	$-0.143550\pi$
$128$	13.0664	−	3.83664i	1.15492	−	0.339115i
$129$		0			0
$130$	13.2146	−	8.49250i	1.15900	−	0.744841i
$131$	−5.07744	−	1.49087i	−0.443618	−	0.130258i	0.0522921	−	0.998632i	$-0.483347\pi$
$131$	−5.07744	−	1.49087i	−0.443618	−	0.130258i	−0.495910	+	0.868374i	$0.665165\pi$
$132$	0.150246	+	1.04498i	0.0130772	+	0.0909540i
$133$	1.02696	−	2.24873i	0.0890489	−	0.194990i
$134$	−1.66625	+	11.5890i	−0.143942	+	1.00114i
$135$	6.08737	+	3.91211i	0.523917	+	0.336701i
$136$	−7.66724	−	8.84847i	−0.657461	−	0.758750i
$137$	13.8885			1.18658			0.593289	−	0.804989i	$-0.297829\pi$
$137$	13.8885			1.18658			0.593289	+	0.804989i	$0.297829\pi$
$138$		0			0
$139$	2.70820			0.229707			0.114853	−	0.993382i	$-0.463360\pi$
$139$	2.70820			0.229707			0.114853	+	0.993382i	$0.463360\pi$
$140$	−1.61890	−	1.86832i	−0.136822	−	0.157901i
$141$	4.20627	+	2.70320i	0.354232	+	0.227651i
$142$	1.78780	−	12.4344i	0.150029	−	1.04348i
$143$	−0.952046	+	2.08469i	−0.0796141	+	0.174331i
$144$	1.38162	+	9.60939i	0.115135	+	0.800782i
$145$	−9.31495	−	2.73512i	−0.773565	−	0.227139i
$146$	−21.0603	+	13.5346i	−1.74296	+	1.12013i
$147$	−5.08305	−	11.1303i	−0.419243	−	0.918013i
$148$	−1.91899	+	0.563465i	−0.157740	+	0.0463165i
$149$	7.78534	−	8.98476i	0.637800	−	0.736060i	−0.341184	−	0.939996i	$-0.610828\pi$
$149$	7.78534	−	8.98476i	0.637800	−	0.736060i	0.978984	+	0.203936i	$0.0653735\pi$
$150$	12.9652	−	14.9626i	1.05860	−	1.22169i
$151$	0.226506	−	0.0665080i	0.0184328	−	0.00541235i	−0.272503	−	0.962155i	$-0.587852\pi$
$151$	0.226506	−	0.0665080i	0.0184328	−	0.00541235i	0.290936	+	0.956743i	$0.406033\pi$
$152$	−1.85779	−	4.06800i	−0.150687	−	0.329958i
$153$	8.80972	−	5.66166i	0.712224	−	0.457718i
$154$	1.46597	+	0.430449i	0.118132	+	0.0346866i
$155$	−3.08940	−	21.4872i	−0.248147	−	1.72590i
$156$	1.72227	−	3.77124i	0.137892	−	0.301941i
$157$	−2.19398	+	15.2595i	−0.175099	+	1.21784i	0.692811	+	0.721119i	$0.256372\pi$
$157$	−2.19398	+	15.2595i	−0.175099	+	1.21784i	−0.867910	+	0.496721i	$0.834537\pi$
$158$	−9.45238	−	6.07468i	−0.751991	−	0.483275i
$159$	12.4059	+	14.3171i	0.983849	+	1.13542i
$160$	−10.9443			−0.865221
$161$		0			0
$162$	17.7984			1.39837
$163$	6.70320	+	7.73590i	0.525035	+	0.605923i	0.954884	−	0.296978i	$-0.0959788\pi$
$163$	6.70320	+	7.73590i	0.525035	+	0.605923i	−0.429849	+	0.902901i	$0.641433\pi$
$164$	2.84509	+	1.82843i	0.222164	+	0.142776i
$165$	−0.786697	+	5.47160i	−0.0612443	+	0.425963i
$166$	8.89670	−	19.4810i	0.690518	−	1.51202i
$167$	−1.49034	−	10.3655i	−0.115326	−	0.802110i	−0.962595	−	0.270945i	$-0.912664\pi$
$167$	−1.49034	−	10.3655i	−0.115326	−	0.802110i	0.847269	−	0.531165i	$-0.178245\pi$
$168$	5.92999	+	1.74120i	0.457509	+	0.134337i
$169$	−3.36501	+	2.16256i	−0.258847	+	0.166351i
$170$	11.3892	+	24.9388i	0.873511	+	1.91272i
$171$	3.83797	−	1.12693i	0.293497	−	0.0861785i
$172$		0			0
$173$	−3.31080	+	3.82086i	−0.251715	+	0.290495i	−0.867518	−	0.497405i	$-0.834286\pi$
$173$	−3.31080	+	3.82086i	−0.251715	+	0.290495i	0.615803	+	0.787900i	$0.288832\pi$
$174$	−10.4144	+	3.05795i	−0.789516	+	0.231823i
$175$	−2.80984	−	6.15269i	−0.212404	−	0.465100i
$176$	3.11954	−	2.00481i	0.235144	−	0.151118i
$177$	5.30395	+	1.55738i	0.398669	+	0.117060i
$178$	−0.351822	−	2.44697i	−0.0263701	−	0.183408i
$179$	−5.27918	+	11.5598i	−0.394584	+	0.864019i	0.603206	+	0.797585i	$0.293889\pi$
$179$	−5.27918	+	11.5598i	−0.394584	+	0.864019i	−0.997791	+	0.0664341i	$0.978838\pi$
$180$	0.569259	−	3.95929i	0.0424301	−	0.295108i
$181$	−12.3264	−	7.92173i	−0.916218	−	0.588817i	−0.00465975	−	0.999989i	$-0.501483\pi$
$181$	−12.3264	−	7.92173i	−0.916218	−	0.588817i	−0.911558	+	0.411172i	$0.865120\pi$
$182$	−3.92916	−	4.53450i	−0.291249	−	0.336119i
$183$	24.4721			1.80903
$184$		0			0
$185$	−10.4721			−0.769927
$186$	−15.8938	−	18.3424i	−1.16539	−	1.34493i
$187$	−3.36501	−	2.16256i	−0.246074	−	0.158142i
$188$	−0.196674	+	1.36790i	−0.0143439	+	0.0997643i
$189$	1.14818	−	2.51416i	0.0835177	−	0.182878i
$190$	1.49034	+	10.3655i	0.108121	+	0.751996i
$191$	3.66494	+	1.07612i	0.265186	+	0.0778655i	0.411622	−	0.911355i	$-0.364962\pi$
$191$	3.66494	+	1.07612i	0.265186	+	0.0778655i	−0.146437	+	0.989220i	$0.546780\pi$
$192$	7.96847	−	5.12102i	0.575075	−	0.369578i
$193$	−3.30017	−	7.22636i	−0.237551	−	0.520165i	0.752882	−	0.658155i	$-0.228663\pi$
$193$	−3.30017	−	7.22636i	−0.237551	−	0.520165i	−0.990434	+	0.137990i	$0.955936\pi$
$194$	6.66298	−	1.95643i	0.478374	−	0.140463i
$195$	14.2159	−	16.4060i	1.01802	−	1.17486i
$196$	2.21472	−	2.55592i	0.158194	−	0.182566i
$197$	−7.16946	+	2.10514i	−0.510803	+	0.149985i	−0.526970	−	0.849884i	$-0.676672\pi$
$197$	−7.16946	+	2.10514i	−0.510803	+	0.149985i	0.0161668	+	0.999869i	$0.494854\pi$
$198$	1.02696	+	2.24873i	0.0729830	+	0.159811i
$199$	−21.6271	+	13.8989i	−1.53311	+	0.985267i	−0.543832	+	0.839194i	$0.683027\pi$
$199$	−21.6271	+	13.8989i	−1.53311	+	0.985267i	−0.989274	+	0.146073i	$0.953337\pi$
$200$	−11.7404	−	3.44730i	−0.830173	−	0.243761i
$201$	2.30270	+	16.0156i	0.162420	+	1.12966i
$202$	3.00597	−	6.58216i	0.211499	−	0.463119i
$203$	−0.527732	+	3.67046i	−0.0370396	+	0.257616i
$204$	6.08737	+	3.91211i	0.426201	+	0.273903i
$205$	11.5964	+	13.3830i	0.809928	+	0.934707i
$206$	−29.4164			−2.04954
$207$		0			0
$208$	−14.5623			−1.00971
$209$	−1.00054	−	1.15468i	−0.0692087	−	0.0798711i
$210$	−12.1747	−	7.82423i	−0.840137	−	0.539923i
$211$	−0.486206	+	3.38163i	−0.0334718	+	0.232801i	−0.999689	−	0.0249267i	$-0.992065\pi$
$211$	−0.486206	+	3.38163i	−0.0334718	+	0.232801i	0.966218	+	0.257728i	$0.0829738\pi$
$212$	−2.17514	+	4.76289i	−0.149389	+	0.327117i
$213$	−2.47068	−	17.1840i	−0.169288	−	1.17743i
$214$	−20.8289	−	6.11591i	−1.42383	−	0.418075i
$215$		0			0
$216$	−2.07708	−	4.54816i	−0.141327	−	0.309463i
$217$	−7.95592	+	2.33607i	−0.540083	+	0.158583i
$218$		0			0
$219$	−22.6561	+	26.1465i	−1.53095	+	1.76682i
$220$	−1.46597	+	0.430449i	−0.0988360	+	0.0290209i
$221$	6.52542	+	14.2887i	0.438948	+	0.961161i
$222$	−9.84957	+	6.32993i	−0.661060	+	0.424837i
$223$	−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	$0.633669\pi$
$224$	0.594924	+	4.13779i	0.0397501	+	0.276468i
$225$	4.54641	−	9.95526i	0.303094	−	0.663684i
$226$	3.04787	−	21.1984i	0.202741	−	1.41010i
$227$	8.56425	+	5.50391i	0.568429	+	0.365307i	0.793066	−	0.609135i	$-0.208483\pi$
$227$	8.56425	+	5.50391i	0.568429	+	0.365307i	−0.224637	+	0.974442i	$0.572120\pi$
$228$	1.80999	+	2.08884i	0.119870	+	0.138337i
$229$	−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
$231$	2.11146			0.138924
$232$	4.39294	+	5.06972i	0.288411	+	0.332844i
$233$	−13.0160	−	8.36487i	−0.852706	−	0.548001i	0.0397118	−	0.999211i	$-0.487356\pi$
$233$	−13.0160	−	8.36487i	−0.852706	−	0.548001i	−0.892418	+	0.451210i	$0.850992\pi$
$234$	1.38162	−	9.60939i	0.0903194	−	0.628185i
$235$	−3.00597	+	6.58216i	−0.196088	+	0.429373i
$236$	0.217438	+	1.51231i	0.0141540	+	0.0984432i
$237$	−14.8989	−	4.37470i	−0.967786	−	0.284168i
$238$	8.80972	−	5.66166i	0.571049	−	0.366991i
$239$	7.57554	+	16.5881i	0.490021	+	1.07300i	0.979585	+	0.201029i	$0.0644284\pi$
$239$	7.57554	+	16.5881i	0.490021	+	1.07300i	−0.489565	+	0.871967i	$0.662844\pi$
$240$	−33.7018	+	9.89575i	−2.17544	+	0.638768i
$241$	−11.2142	+	12.9419i	−0.722372	+	0.833662i	−0.991590	−	0.129417i	$-0.958689\pi$
$241$	−11.2142	+	12.9419i	−0.722372	+	0.833662i	0.269218	+	0.963079i	$0.413235\pi$
$242$	−11.0371	+	12.7375i	−0.709491	+	0.818796i
$243$	17.1639	−	5.03979i	1.10107	−	0.323302i
$244$	2.80984	+	6.15269i	0.179882	+	0.393886i
$245$	14.8971	−	9.57378i	0.951740	−	0.611646i
$246$	18.9964	+	5.57785i	1.21117	+	0.355631i
$247$	0.853889	+	5.93893i	0.0543317	+	0.377885i
$248$	−6.23123	+	13.6445i	−0.395683	+	0.866425i
$249$	4.21206	−	29.2955i	0.266928	−	1.85653i
$250$	2.07969	+	1.33654i	0.131531	+	0.0845301i
$251$	−10.2867	−	11.8715i	−0.649290	−	0.749320i	0.331699	−	0.943385i	$-0.392378\pi$
$251$	−10.2867	−	11.8715i	−0.649290	−	0.749320i	−0.980989	+	0.194065i	$0.937833\pi$
$252$	−1.52786			−0.0962464
$253$		0			0
$254$	33.5066			2.10239
$255$	24.8117	+	28.6343i	1.55377	+	1.79315i
$256$	11.4093	+	7.33234i	0.713084	+	0.458271i
$257$	−0.209507	+	1.45715i	−0.0130687	+	0.0908946i	−0.995312	−	0.0967174i	$-0.969166\pi$
$257$	−0.209507	+	1.45715i	−0.0130687	+	0.0908946i	0.982243	+	0.187612i	$0.0600748\pi$
$258$		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
$262$	−3.55691	−	7.78855i	−0.219747	−	0.481178i
$263$	14.3389	−	4.21029i	0.884176	−	0.259617i	0.192042	−	0.981387i	$-0.438489\pi$
$263$	14.3389	−	4.21029i	0.884176	−	0.259617i	0.692134	+	0.721769i	$0.256671\pi$
$264$	2.50135	−	2.88671i	0.153947	−	0.177665i
$265$	−17.9539	+	20.7199i	−1.10290	+	1.27282i
$266$	3.83797	−	1.12693i	0.235321	−	0.0690965i
$267$	−1.41923	−	3.10767i	−0.0868553	−	0.190187i
$268$	−3.76220	+	2.41782i	−0.229813	+	0.147692i
$269$	−9.54146	−	2.80163i	−0.581753	−	0.170818i	−0.0224021	−	0.999749i	$-0.507131\pi$
$269$	−9.54146	−	2.80163i	−0.581753	−	0.170818i	−0.559351	+	0.828931i	$0.688950\pi$
$270$	1.66625	+	11.5890i	0.101405	+	0.705286i
$271$	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	$0.0582378\pi$
$272$	3.61713	−	25.1577i	0.219321	−	1.52541i
$273$	−6.97550	−	4.48288i	−0.422177	−	0.271316i
$274$	14.7161	+	16.9833i	0.889033	+	1.02600i
$275$	−4.18034			−0.252084
$276$		0			0
$277$	6.52786			0.392221			0.196111	−	0.980582i	$-0.437169\pi$
$277$	6.52786			0.392221			0.196111	+	0.980582i	$0.437169\pi$
$278$	2.86958	+	3.31167i	0.172106	+	0.198621i
$279$	−11.2866	−	7.25346i	−0.675711	−	0.434253i
$280$	−1.27290	+	8.85323i	−0.0760705	+	0.529082i
$281$	−5.49846	+	12.0400i	−0.328011	+	0.718243i	−0.999746	−	0.0225482i	$-0.992822\pi$
$281$	−5.49846	+	12.0400i	−0.328011	+	0.718243i	0.671735	+	0.740791i	$0.265549\pi$
$282$	1.15135	+	8.00782i	0.0685620	+	0.476859i
$283$	−13.7129	−	4.02646i	−0.815146	−	0.239348i	−0.152521	−	0.988300i	$-0.548739\pi$
$283$	−13.7129	−	4.02646i	−0.815146	−	0.239348i	−0.662625	+	0.748952i	$0.730557\pi$
$284$	4.03665	−	2.59420i	0.239531	−	0.153937i
$285$	6.01194	+	13.1643i	0.356117	+	0.779787i
$286$	−3.55800	+	1.04472i	−0.210389	+	0.0617757i
$287$	4.42943	−	5.11184i	0.261461	−	0.301742i
$288$	−4.42943	+	5.11184i	−0.261007	+	0.301218i
$289$	−9.99447	+	2.93464i	−0.587910	+	0.172626i
$290$	−6.52542	−	14.2887i	−0.383186	−	0.839060i
$291$	8.07330	−	5.18839i	0.473265	−	0.304149i
$292$	−9.17497	−	2.69401i	−0.536924	−	0.157655i
$293$	1.49034	+	10.3655i	0.0870666	+	0.605562i	0.985908	+	0.167288i	$0.0535009\pi$
$293$	1.49034	+	10.3655i	0.0870666	+	0.605562i	−0.898842	+	0.438274i	$0.855590\pi$
$294$	8.22454	−	18.0092i	0.479665	−	1.05032i
$295$	−1.13852	+	7.91857i	−0.0662871	+	0.461037i
$296$	6.08737	+	3.91211i	0.353821	+	0.227387i
$297$	−1.11864	−	1.29097i	−0.0649098	−	0.0749099i
$298$	19.2361			1.11432
$299$		0			0
$300$	7.56231			0.436610
$301$		0			0
$302$	0.321330	+	0.206506i	0.0184905	+	0.0118831i
$303$	1.42315	−	9.89821i	0.0817577	−	0.568638i
$304$	4.03293	−	8.83089i	0.231305	−	0.506486i
$305$	5.04028	+	35.0559i	0.288606	+	2.00730i
$306$	16.2579	+	4.77375i	0.929403	+	0.272897i
$307$	15.5397	−	9.98679i	0.886900	−	0.569976i	−0.0159780	−	0.999872i	$-0.505086\pi$
$307$	15.5397	−	9.98679i	0.886900	−	0.569976i	0.902878	+	0.429896i	$0.141450\pi$
$308$	0.242433	+	0.530854i	0.0138139	+	0.0302482i
$309$	−39.0058	+	11.4531i	−2.21896	+	0.651546i
$310$	23.0017	−	26.5454i	1.30641	−	1.50768i
$311$	6.01184	−	6.93804i	0.340900	−	0.393420i	−0.559250	−	0.828999i	$-0.688911\pi$
$311$	6.01184	−	6.93804i	0.340900	−	0.393420i	0.900151	+	0.435579i	$0.143456\pi$
$312$	−14.3924	+	4.22599i	−0.814809	+	0.239249i
$313$	−8.45813	−	18.5207i	−0.478082	−	1.04685i	−0.982986	−	0.183678i	$-0.941200\pi$
$313$	−8.45813	−	18.5207i	−0.478082	−	1.04685i	0.504905	−	0.863175i	$-0.331528\pi$
$314$	−20.9845	+	13.4859i	−1.18422	+	0.761053i
$315$	−7.67594	−	2.25386i	−0.432490	−	0.126991i
$316$	−0.610786	−	4.24811i	−0.0343594	−	0.238975i
$317$	−0.588397	+	1.28841i	−0.0330477	+	0.0723643i	−0.925436	−	0.378904i	$-0.876301\pi$
$317$	−0.588397	+	1.28841i	−0.0330477	+	0.0723643i	0.892388	+	0.451268i	$0.149028\pi$
$318$	−4.36230	+	30.3405i	−0.244626	+	1.70141i
$319$	1.92798	+	1.23904i	0.107946	+	0.0693728i
$320$	8.97696	+	10.3600i	0.501828	+	0.579140i
$321$	−30.0000			−1.67444
$322$		0			0
$323$	−10.4721			−0.582685
$324$	4.45199	+	5.13787i	0.247333	+	0.285437i
$325$	13.8104	+	8.87538i	0.766061	+	0.492318i
$326$	−2.35706	+	16.3937i	−0.130546	+	0.907964i
$327$		0			0
$328$	−1.74137	−	12.1115i	−0.0961513	−	0.668747i
$329$	2.65197	+	0.778690i	0.146208	+	0.0429305i
$330$	−7.52440	+	4.83564i	−0.414205	+	0.266193i
$331$	4.84061	+	10.5995i	0.266064	+	0.582599i	0.994760	−	0.102238i	$-0.0326004\pi$
$331$	4.84061	+	10.5995i	0.266064	+	0.582599i	−0.728696	+	0.684838i	$0.759873\pi$
$332$	7.84898	−	2.30467i	0.430769	−	0.126485i
$333$	−4.23835	+	4.89131i	−0.232260	+	0.268042i
$334$	11.0961	−	12.8056i	0.607154	−	0.700693i
$335$	−22.4679	+	6.59716i	−1.22755	+	0.360442i
$336$	5.57338	+	12.2040i	0.304053	+	0.665782i
$337$	−2.87407	+	1.84705i	−0.156560	+	0.100615i	−0.616575	−	0.787296i	$-0.711480\pi$
$337$	−2.87407	+	1.84705i	−0.156560	+	0.100615i	0.460015	+	0.887911i	$0.347844\pi$
$338$	−6.20997	−	1.82341i	−0.337778	−	0.0991805i
$339$	−4.21206	−	29.2955i	−0.228767	−	1.59111i
$340$	−4.35028	+	9.52579i	−0.235927	+	0.516608i
$341$	−0.729308	+	5.07245i	−0.0394943	+	0.274689i
$342$	5.44471	+	3.49910i	0.294416	+	0.189210i
$343$	−10.0956	−	11.6509i	−0.545111	−	0.629092i
$344$		0			0
$345$		0			0
$346$	−8.18034			−0.439778
$347$	−16.9534	−	19.5653i	−0.910106	−	1.05032i	−0.998528	−	0.0542349i	$-0.982728\pi$
$347$	−16.9534	−	19.5653i	−0.910106	−	1.05032i	0.0884225	−	0.996083i	$-0.471817\pi$
$348$	−3.48775	−	2.24144i	−0.186963	−	0.120154i
$349$	0.343891	−	2.39181i	0.0184080	−	0.128031i	−0.978545	−	0.206032i	$-0.933945\pi$
$349$	0.343891	−	2.39181i	0.0184080	−	0.128031i	0.996953	+	0.0780015i	$0.0248539\pi$
$350$	4.54641	−	9.95526i	0.243016	−	0.532131i
$351$	0.954677	+	6.63992i	0.0509569	+	0.354413i
$352$	2.47894	+	0.727882i	0.132128	+	0.0387962i
$353$	−29.7473	+	19.1174i	−1.58329	+	1.01752i	−0.608732	+	0.793376i	$0.708322\pi$
$353$	−29.7473	+	19.1174i	−1.58329	+	1.01752i	−0.974556	+	0.224142i	$0.928042\pi$
$354$	3.71558	+	8.13600i	0.197481	+	0.432423i
$355$	24.1069	−	7.07842i	1.27946	−	0.375684i
$356$	0.618367	−	0.713633i	0.0327734	−	0.0378225i
$357$	9.47723	−	10.9373i	0.501588	−	0.578864i
$358$	−19.7294	+	5.79307i	−1.04273	+	0.306173i
$359$	6.60034	+	14.4527i	0.348353	+	0.762786i	0.999991	+	0.00425599i	$0.00135473\pi$
$359$	6.60034	+	14.4527i	0.348353	+	0.762786i	−0.651638	+	0.758530i	$0.725918\pi$
$360$	−12.1747	+	7.82423i	−0.641665	+	0.412373i
$361$	14.3924	+	4.22599i	0.757494	+	0.222420i
$362$	−3.37403	−	23.4669i	−0.177335	−	1.23339i
$363$	−9.67576	+	21.1870i	−0.507846	+	1.11203i
$364$	0.326157	−	2.26847i	0.0170953	−	0.118900i
$365$	−42.1206	−	27.0693i	−2.20469	−	1.41687i
$366$	25.9304	+	29.9252i	1.35540	+	1.56422i
$367$	18.1803			0.949006			0.474503	−	0.880254i	$-0.342628\pi$
$367$	18.1803			0.949006			0.474503	+	0.880254i	$0.342628\pi$
$368$		0			0
$369$	10.9443			0.569736
$370$	−11.0961	−	12.8056i	−0.576861	−	0.665733i
$371$	8.80972	+	5.66166i	0.457378	+	0.293939i
$372$	1.31933	−	9.17615i	0.0684041	−	0.475761i
$373$	−2.37127	+	5.19236i	−0.122780	+	0.268850i	−0.961034	−	0.276429i	$-0.910849\pi$
$373$	−2.37127	+	5.19236i	−0.122780	+	0.268850i	0.838255	+	0.545279i	$0.183576\pi$
$374$	−0.921081	−	6.40626i	−0.0476280	−	0.331260i
$375$	3.27802	+	0.962513i	0.169276	+	0.0497040i
$376$	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
$379$	13.3334	−	15.3876i	0.684891	−	0.790407i	−0.301737	−	0.953391i	$-0.597567\pi$
$379$	13.3334	−	15.3876i	0.684891	−	0.790407i	0.986629	+	0.162984i	$0.0521120\pi$
$380$	−2.61944	+	3.02300i	−0.134375	+	0.155077i
$381$	44.4293	−	13.0456i	2.27618	−	0.668347i
$382$	2.56741	+	5.62183i	0.131360	+	0.287638i
$383$	20.9845	−	13.4859i	1.07226	−	0.689097i	0.119500	−	0.992834i	$-0.461871\pi$
$383$	20.9845	−	13.4859i	1.07226	−	0.689097i	0.952756	+	0.303737i	$0.0982345\pi$
$384$	29.2174	+	8.57900i	1.49099	+	0.437795i
$385$	0.434875	+	3.02463i	0.0221633	+	0.154149i
$386$	5.33979	−	11.6925i	0.271788	−	0.595133i
$387$		0			0
$388$	2.23140	+	1.43404i	0.113282	+	0.0728022i
$389$	−22.5744	−	26.0523i	−1.14457	−	1.32090i	−0.939655	−	0.342124i	$-0.888854\pi$
$389$	−22.5744	−	26.0523i	−1.14457	−	1.32090i	−0.204915	−	0.978780i	$-0.565692\pi$
$390$	35.1246			1.77860
$391$		0			0
$392$	−12.2361			−0.618015
$393$	−7.74885	−	8.94265i	−0.390878	−	0.451097i
$394$	−10.1709	−	6.53644i	−0.512402	−	0.329301i
$395$	3.19812	−	22.2434i	0.160915	−	1.11919i
$396$	−0.392265	+	0.858940i	−0.0197120	+	0.0431634i
$397$	−0.343891	−	2.39181i	−0.0172594	−	0.120042i	0.979370	−	0.202074i	$-0.0647681\pi$
$397$	−0.343891	−	2.39181i	−0.0172594	−	0.120042i	−0.996630	+	0.0820321i	$0.973859\pi$
$398$	−39.9118	−	11.7192i	−2.00060	−	0.587428i
$399$	4.65034	−	2.98859i	0.232808	−	0.149617i
$400$	−11.0344	−	24.1619i	−0.551719	−	1.20810i
$401$	−7.84898	+	2.30467i	−0.391959	+	0.115090i	−0.471773	−	0.881720i	$-0.656386\pi$
$401$	−7.84898	+	2.30467i	−0.391959	+	0.115090i	0.0798134	+	0.996810i	$0.474568\pi$
$402$	−17.1445	+	19.7858i	−0.855089	+	0.986825i
$403$	13.1788	−	15.2092i	0.656484	−	0.757623i
$404$	2.65197	−	0.778690i	0.131941	−	0.0387413i
$405$	14.7874	+	32.3799i	0.734793	+	1.60897i
$406$	−5.04752	+	3.24384i	−0.250504	+	0.160989i
$407$	2.37200	+	0.696481i	0.117576	+	0.0345233i
$408$	−3.72585	−	25.9139i	−0.184457	−	1.28293i
$409$	−9.70438	+	21.2496i	−0.479851	+	1.05073i	0.502654	+	0.864488i	$0.332357\pi$
$409$	−9.70438	+	21.2496i	−0.479851	+	1.05073i	−0.982505	+	0.186238i	$0.940370\pi$
$410$	−4.07767	+	28.3608i	−0.201382	+	1.40064i
$411$	26.1257	+	16.7900i	1.28869	+	0.828189i
$412$	−7.35806	−	8.49165i	−0.362506	−	0.418354i
$413$	3.05573			0.150363
$414$		0			0
$415$	42.8328			2.10258
$416$	−6.64415	−	7.66776i	−0.325756	−	0.375943i
$417$	5.09440	+	3.27397i	0.249474	+	0.160327i
$418$	0.351822	−	2.44697i	0.0172082	−	0.119685i
$419$	−13.0508	+	28.5774i	−0.637576	+	1.39610i	0.264444	+	0.964401i	$0.414812\pi$
$419$	−13.0508	+	28.5774i	−0.637576	+	1.39610i	−0.902020	+	0.431695i	$0.857916\pi$
$420$	−0.786697	−	5.47160i	−0.0383869	−	0.266987i
$421$	22.7479	+	6.67937i	1.10866	+	0.325533i	0.784289	−	0.620396i	$-0.213028\pi$
$421$	22.7479	+	6.67937i	1.10866	+	0.325533i	0.324374	+	0.945929i	$0.394846\pi$
$422$	−4.65034	+	2.98859i	−0.226375	+	0.145482i
$423$	1.85779	+	4.06800i	0.0903290	+	0.197793i
$424$	18.1769	−	5.33722i	0.882748	−	0.259198i
$425$	−18.7634	+	21.6541i	−0.910158	+	1.05038i
$426$	18.3951	−	21.2291i	0.891248	−	1.02855i
$427$	12.9799	−	3.81124i	0.628141	−	0.184439i
$428$	−3.44454	−	7.54248i	−0.166498	−	0.364580i
$429$	−4.31110	+	2.77057i	−0.208142	+	0.133765i
$430$		0			0
$431$	3.76738	+	26.2027i	0.181468	+	1.26214i	0.853294	+	0.521430i	$0.174601\pi$
$431$	3.76738	+	26.2027i	0.181468	+	1.26214i	−0.671826	+	0.740709i	$0.734490\pi$
$432$	4.50896	−	9.87324i	0.216937	−	0.475026i
$433$	−5.71826	+	39.7714i	−0.274802	+	1.91129i	0.120454	+	0.992719i	$0.461565\pi$
$433$	−5.71826	+	39.7714i	−0.274802	+	1.91129i	−0.395256	+	0.918571i	$0.629344\pi$
$434$	−11.2866	−	7.25346i	−0.541774	−	0.348177i
$435$	−14.2159	−	16.4060i	−0.681598	−	0.786606i
$436$		0			0
$437$		0			0
$438$	−55.9787			−2.67477
$439$	3.46539	+	3.99927i	0.165394	+	0.190875i	0.832396	−	0.554181i	$-0.186968\pi$
$439$	3.46539	+	3.99927i	0.165394	+	0.190875i	−0.667002	+	0.745056i	$0.732423\pi$
$440$	4.65034	+	2.98859i	0.221696	+	0.142475i
$441$	1.55753	−	10.8329i	0.0741682	−	0.515851i
$442$	−10.5584	+	23.1196i	−0.502210	+	1.09969i
$443$	0.302364	+	2.10299i	0.0143657	+	0.0999159i	0.995743	−	0.0921755i	$-0.0293821\pi$
$443$	0.302364	+	2.10299i	0.0143657	+	0.0999159i	−0.981377	+	0.192091i	$0.938473\pi$
$444$	−4.29098	−	1.25995i	−0.203641	−	0.0597944i
$445$	4.15939	−	2.67308i	0.197174	−	0.126716i
$446$	−2.68862	−	5.88726i	−0.127310	−	0.278770i
$447$	25.5068	−	7.48946i	1.20643	−	0.354239i
$448$	3.42890	−	3.95716i	0.162000	−	0.186958i
$449$	−1.92809	+	2.22513i	−0.0909921	+	0.105010i	−0.799420	−	0.600773i	$-0.794859\pi$
$449$	−1.92809	+	2.22513i	−0.0909921	+	0.105010i	0.708427	+	0.705784i	$0.249405\pi$
$450$	16.9909	−	4.98898i	0.800959	−	0.235183i
$451$	−1.73658	−	3.80257i	−0.0817722	−	0.179056i
$452$	6.88174	−	4.42263i	0.323690	−	0.208023i
$453$	0.506482	+	0.148716i	0.0237966	+	0.00698731i
$454$	2.34423	+	16.3045i	0.110020	+	0.765207i
$455$	4.98498	−	10.9156i	0.233699	−	0.511730i
$456$	1.42315	−	9.89821i	0.0666450	−	0.463526i
$457$	29.5487	+	18.9898i	1.38223	+	0.888305i	0.999370	−	0.0355009i	$-0.0113027\pi$
$457$	29.5487	+	18.9898i	1.38223	+	0.888305i	0.382860	+	0.923806i	$0.374939\pi$
$458$	−12.7150	−	14.6739i	−0.594135	−	0.685668i
$459$	−11.7082			−0.546492
$460$		0			0
$461$	7.47214			0.348012			0.174006	−	0.984745i	$-0.444329\pi$
$461$	7.47214			0.348012			0.174006	+	0.984745i	$0.444329\pi$
$462$	2.23727	+	2.58195i	0.104087	+	0.120123i
$463$	−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	$0.835670\pi$
$464$	−2.07243	+	14.4141i	−0.0962102	+	0.669157i
$465$	20.1647	−	44.1545i	0.935114	−	2.04761i
$466$	−3.56277	−	24.7796i	−0.165042	−	1.14789i
$467$	29.6908	+	8.71801i	1.37393	+	0.403421i	0.883651	−	0.468146i	$-0.155078\pi$
$467$	29.6908	+	8.71801i	1.37393	+	0.403421i	0.490276	+	0.871567i	$0.336896\pi$
$468$	3.11954	−	2.00481i	0.144201	−	0.0926722i
$469$	3.71558	+	8.13600i	0.171570	+	0.375685i
$470$	−11.2339	+	3.29858i	−0.518183	+	0.152152i
$471$	−22.5744	+	26.0523i	−1.04018	+	1.20043i
$472$	3.61998	−	4.17768i	0.166623	−	0.192293i
$473$		0			0
$474$	−10.4371	−	22.8542i	−0.479394	−	1.04973i
$475$	−9.20691	+	5.91692i	−0.422442	+	0.271487i
$476$	3.83797	+	1.12693i	0.175913	+	0.0516528i
$477$	2.41142	+	16.7718i	0.110411	+	0.767928i
$478$	−12.2575	+	26.8401i	−0.560644	+	1.22764i
$479$	2.50428	−	17.4176i	0.114423	−	0.795832i	−0.849105	−	0.528225i	$-0.822858\pi$
$479$	2.50428	−	17.4176i	0.114423	−	0.795832i	0.963528	−	0.267607i	$-0.0862330\pi$
$480$	−20.5873	−	13.2306i	−0.939676	−	0.603893i
$481$	−6.35752	−	7.33697i	−0.289878	−	0.334537i
$482$	−27.7082			−1.26207
$483$		0			0
$484$	−6.43769			−0.292622
$485$	9.09506	+	10.4963i	0.412985	+	0.476611i
$486$	24.3495	+	15.6485i	1.10451	+	0.709828i
$487$	0.183842	−	1.27865i	0.00833066	−	0.0579410i	−0.985232	−	0.171224i	$-0.945228\pi$
$487$	0.183842	−	1.27865i	0.00833066	−	0.0579410i	0.993563	+	0.113283i	$0.0361368\pi$
$488$	10.1661	−	22.2606i	0.460197	−	1.00769i
$489$	3.25738	+	22.6556i	0.147304	+	1.02452i
$490$	27.4918	+	8.07234i	1.24196	+	0.364671i
$491$	33.3578	−	21.4377i	1.50542	−	0.967472i	0.511271	−	0.859420i	$-0.329175\pi$
$491$	33.3578	−	21.4377i	1.50542	−	0.967472i	0.994145	−	0.108052i	$-0.0344614\pi$
$492$	3.14150	+	6.87892i	0.141630	+	0.310125i
$493$	15.0719	−	4.42551i	0.678805	−	0.199315i
$494$	−6.35752	+	7.33697i	−0.286038	+	0.330106i
$495$	−3.23781	+	3.73663i	−0.145529	+	0.167949i
$496$	−31.2433	+	9.17386i	−1.40287	+	0.411919i
$497$	−3.98663	−	8.72951i	−0.178825	−	0.391572i
$498$	40.2864	−	25.8905i	1.80528	−	1.16018i
$499$	−31.3833	−	9.21497i	−1.40491	−	0.412519i	−0.510542	−	0.859853i	$-0.670555\pi$
$499$	−31.3833	−	9.21497i	−1.40491	−	0.412519i	−0.894367	+	0.447334i	$0.852373\pi$
$500$	0.134384	+	0.934661i	0.00600983	+	0.0417993i
$501$	9.72753	−	21.3003i	0.434594	−	0.951628i
$502$	3.61713	−	25.1577i	0.161441	−	1.12284i
$503$	−7.61816	−	4.89590i	−0.339677	−	0.218297i	0.359670	−	0.933080i	$-0.382889\pi$
$503$	−7.61816	−	4.89590i	−0.339677	−	0.218297i	−0.699347	+	0.714782i	$0.746526\pi$
$504$	3.61998	+	4.17768i	0.161247	+	0.186089i
$505$	14.4721			0.644002
$506$		0			0
$507$	−8.94427			−0.397229
$508$	8.38115	+	9.67237i	0.371854	+	0.429142i
$509$	28.8592	+	18.5467i	1.27916	+	0.822066i	0.990784	−	0.135451i	$-0.0432484\pi$
$509$	28.8592	+	18.5467i	1.27916	+	0.822066i	0.288376	+	0.957517i	$0.406885\pi$
$510$	−8.72460	+	60.6810i	−0.386332	+	2.68700i
$511$	−7.94465	+	17.3964i	−0.351451	+	0.769570i
$512$	−0.753101	−	5.23793i	−0.0332827	−	0.231486i
$513$	−4.29098	−	1.25995i	−0.189452	−	0.0556280i
$514$	−2.00384	+	1.28779i	−0.0883855	+	0.0568019i
$515$	−24.4400	−	53.5162i	−1.07696	−	2.35821i
$516$		0			0
$517$	1.11864	−	1.29097i	0.0491975	−	0.0567770i
$518$	−4.23835	+	4.89131i	−0.186222	+	0.214912i
$519$	−10.8470	+	3.18497i	−0.476131	+	0.139805i
$520$	−9.01791	−	19.7465i	−0.395462	−	0.865940i
$521$	3.85596	−	2.47808i	0.168933	−	0.108567i	−0.453442	−	0.891286i	$-0.649804\pi$
$521$	3.85596	−	2.47808i	0.168933	−	0.108567i	0.622375	+	0.782719i	$0.286168\pi$
$522$	−9.31495	−	2.73512i	−0.407704	−	0.119713i
$523$	−0.124581	−	0.866478i	−0.00544753	−	0.0378884i	0.986916	−	0.161233i	$-0.0515471\pi$
$523$	−0.124581	−	0.866478i	−0.00544753	−	0.0378884i	−0.992364	+	0.123345i	$0.960638\pi$
$524$	1.35862	−	2.97496i	0.0593515	−	0.129962i
$525$	2.15246	−	14.9707i	0.0939409	−	0.653373i
$526$	20.3418	+	13.0729i	0.886944	+	0.570005i
$527$	23.0017	+	26.5454i	1.00197	+	1.15634i
$528$	8.29180			0.360854
$529$		0			0
$530$	−44.3607			−1.92690
$531$	3.23781	+	3.73663i	0.140509	+	0.162156i
$532$	1.28532	+	0.826026i	0.0557257	+	0.0358128i
$533$	−2.33630	+	16.2493i	−0.101196	+	0.703836i
$534$	2.29636	−	5.02832i	0.0993731	−	0.217597i
$535$	−6.17880	−	42.9745i	−0.267133	−	1.85795i
$536$	15.5249	+	4.55853i	0.670575	+	0.196898i
$537$	−23.9054	+	15.3631i	−1.03159	+	0.662965i
$538$	−6.68410	−	14.6361i	−0.288172	−	0.631009i
$539$	−4.01101	+	1.17774i	−0.172766	+	0.0507288i
$540$	−2.92863	+	3.37981i	−0.126028	+	0.145444i
$541$	4.96620	−	5.73130i	0.213513	−	0.246408i	−0.638883	−	0.769304i	$-0.720603\pi$
$541$	4.96620	−	5.73130i	0.213513	−	0.246408i	0.852396	+	0.522896i	$0.175149\pi$
$542$	12.4199	−	3.64682i	0.533482	−	0.156644i
$543$	−13.6106	−	29.8031i	−0.584088	−	1.27897i
$544$	14.8971	−	9.57378i	0.638707	−	0.410472i
$545$		0			0
$546$	−1.90935	−	13.2798i	−0.0817128	−	0.568325i
$547$	15.5951	−	34.1485i	0.666798	−	1.46008i	−0.209250	−	0.977862i	$-0.567102\pi$
$547$	15.5951	−	34.1485i	0.666798	−	1.46008i	0.876049	−	0.482223i	$-0.160170\pi$
$548$	−1.22157	+	8.49622i	−0.0521830	+	0.362941i
$549$	18.4138	+	11.8338i	0.785882	+	0.505056i
$550$	−4.42943	−	5.11184i	−0.188872	−	0.217970i
$551$	6.00000			0.255609
$552$		0			0
$553$	−8.58359			−0.365011
$554$	6.91684	+	7.98246i	0.293868	+	0.339142i
$555$	−19.6991	−	12.6599i	−0.836182	−	0.537381i
$556$	−0.238201	+	1.65673i	−0.0101020	+	0.0702608i
$557$	8.06587	−	17.6618i	0.341762	−	0.748354i	−0.658228	−	0.752818i	$-0.728694\pi$
$557$	8.06587	−	17.6618i	0.341762	−	0.748354i	0.999990	+	0.00446452i	$0.00142111\pi$
$558$	−3.08940	−	21.4872i	−0.130785	−	0.909628i
$559$		0			0
$560$	−16.3341	+	10.4973i	−0.690243	+	0.443592i
$561$	−3.71558	−	8.13600i	−0.156872	−	0.343502i
$562$	−20.5489	+	6.03370i	−0.866803	+	0.254516i
$563$	9.85941	−	11.3784i	0.415524	−	0.479541i	−0.508944	−	0.860800i	$-0.669964\pi$
$563$	9.85941	−	11.3784i	0.415524	−	0.479541i	0.924468	+	0.381259i	$0.124509\pi$
$564$	−2.02363	+	2.33539i	−0.0852102	+	0.0983379i
$565$	41.0978	−	12.0674i	1.72900	−	0.507679i
$566$	−9.60631	−	21.0349i	−0.403783	−	0.884162i
$567$	11.4383	−	7.35096i	0.480364	−	0.308711i
$568$	−16.6575	−	4.89107i	−0.698931	−	0.205225i
$569$	−0.0256650	−	0.178504i	−0.00107593	−	0.00748329i	0.989276	−	0.146055i	$-0.0466578\pi$
$569$	−0.0256650	−	0.178504i	−0.00107593	−	0.00748329i	−0.990352	+	0.138572i	$0.955749\pi$
$570$	−9.72753	+	21.3003i	−0.407441	+	0.892172i
$571$	3.94329	−	27.4262i	0.165021	−	1.14775i	−0.723972	−	0.689830i	$-0.757685\pi$
$571$	3.94329	−	27.4262i	0.165021	−	1.14775i	0.888993	−	0.457920i	$-0.151405\pi$
$572$	−1.19156	−	0.765768i	−0.0498215	−	0.0320184i
$573$	5.59318	+	6.45487i	0.233658	+	0.269656i
$574$	10.9443			0.456805
$575$		0			0
$576$	8.47214			0.353006
$577$	8.44020	+	9.74051i	0.351370	+	0.405503i	0.903730	−	0.428103i	$-0.140818\pi$
$577$	8.44020	+	9.74051i	0.351370	+	0.405503i	−0.552360	+	0.833606i	$0.686273\pi$
$578$	−14.1786	−	9.11202i	−0.589751	−	0.379010i
$579$	2.52807	−	17.5831i	0.105063	−	0.730730i
$580$	2.49249	−	5.45779i	0.103495	−	0.226622i
$581$	−2.32837	−	16.1942i	−0.0965970	−	0.671847i
$582$	14.8989	+	4.37470i	0.617578	+	0.181337i
$583$	5.44471	−	3.49910i	0.225497	−	0.144918i
$584$	14.3720	+	31.4703i	0.594718	+	1.30225i
$585$	18.6299	−	5.47023i	0.770252	−	0.226166i
$586$	−11.0961	+	12.8056i	−0.458377	+	0.528996i
$587$	7.39455	−	8.53377i	0.305206	−	0.352226i	−0.582340	−	0.812945i	$-0.697863\pi$
$587$	7.39455	−	8.53377i	0.305206	−	0.352226i	0.887546	+	0.460719i	$0.152408\pi$
$588$	7.25598	−	2.13055i	0.299232	−	0.0878623i
$589$	5.57338	+	12.2040i	0.229647	+	0.502857i
$590$	−10.8894	+	6.99820i	−0.448310	+	0.288111i
$591$	−16.0314	−	4.70725i	−0.659444	−	0.193630i
$592$	2.23551	+	15.5483i	0.0918789	+	0.639032i
$593$	6.20807	−	13.5938i	0.254935	−	0.558230i	−0.738284	−	0.674490i	$-0.764363\pi$
$593$	6.20807	−	13.5938i	0.254935	−	0.558230i	0.993219	+	0.116260i	$0.0370907\pi$
$594$	0.393349	−	2.73580i	0.0161393	−	0.112251i
$595$	17.6194	+	11.3233i	0.722327	+	0.464211i
$596$	4.81161	+	5.55289i	0.197091	+	0.227455i
$597$	−57.4853			−2.35272
$598$		0			0
$599$	−1.88854			−0.0771638			−0.0385819	−	0.999255i	$-0.512284\pi$
$599$	−1.88854			−0.0771638			−0.0385819	+	0.999255i	$0.512284\pi$
$600$	−17.9174	−	20.6778i	−0.731476	−	0.844169i
$601$	9.34755	+	6.00731i	0.381295	+	0.245043i	0.717222	−	0.696845i	$-0.245413\pi$
$601$	9.34755	+	6.00731i	0.381295	+	0.245043i	−0.335927	+	0.941888i	$0.609050\pi$
$602$		0			0
$603$	−6.01194	+	13.1643i	−0.244825	+	0.536092i
$604$	0.0207635	+	0.144413i	0.000844853	+	0.00587608i
$605$	−32.3428	−	9.49670i	−1.31492	−	0.386096i
$606$	13.6118	−	8.74775i	0.552940	−	0.355353i
$607$	7.28134	+	15.9439i	0.295540	+	0.647143i	0.997907	−	0.0646727i	$-0.0206003\pi$
$607$	7.28134	+	15.9439i	0.295540	+	0.647143i	−0.702366	+	0.711816i	$0.747873\pi$
$608$	6.48995	−	1.90562i	0.263202	−	0.0772831i
$609$	−5.42997	+	6.26652i	−0.220034	+	0.253932i
$610$	−37.5268	+	43.3082i	−1.51941	+	1.75350i
$611$	−6.43647	+	1.88992i	−0.260392	+	0.0764580i
$612$	2.68862	+	5.88726i	0.108681	+	0.237978i
$613$	−6.48455	+	4.16737i	−0.261909	+	0.168318i	−0.665005	−	0.746839i	$-0.731570\pi$
$613$	−6.48455	+	4.16737i	−0.261909	+	0.168318i	0.403096	+	0.915158i	$0.367934\pi$
$614$	28.6778	+	8.42058i	1.15734	+	0.339827i
$615$	5.63520	+	39.1937i	0.227233	+	1.58044i
$616$	0.877131	−	1.92065i	0.0353406	−	0.0773851i
$617$	2.34423	−	16.3045i	0.0943751	−	0.656393i	−0.886640	−	0.462461i	$-0.846967\pi$
$617$	2.34423	−	16.3045i	0.0943751	−	0.656393i	0.981015	−	0.193933i	$-0.0621243\pi$
$618$	−55.3352	−	35.5618i	−2.22591	−	1.43050i
$619$	4.85671	+	5.60495i	0.195208	+	0.225282i	0.844912	−	0.534905i	$-0.179653\pi$
$619$	4.85671	+	5.60495i	0.195208	+	0.225282i	−0.649704	+	0.760187i	$0.725107\pi$
$620$	13.4164			0.538816
$621$		0			0
$622$	14.8541			0.595595
$623$	−1.23673	−	1.42727i	−0.0495487	−	0.0571822i
$624$	−27.3932	−	17.6045i	−1.09660	−	0.704744i
$625$	3.19019	−	22.1882i	0.127607	−	0.887530i
$626$	13.6855	−	29.9672i	0.546984	−	1.19773i
$627$	−0.486206	−	3.38163i	−0.0194172	−	0.135049i
$628$	−9.14192	−	2.68431i	−0.364802	−	0.107116i
$629$	14.2544	−	9.16077i	0.568361	−	0.365264i
$630$	−5.37724	−	11.7745i	−0.214235	−	0.469108i
$631$	31.0498	−	9.11706i	1.23607	−	0.362944i	0.402535	−	0.915404i	$-0.368129\pi$
$631$	31.0498	−	9.11706i	1.23607	−	0.362944i	0.833539	+	0.552460i	$0.186311\pi$
$632$	−10.1686	+	11.7352i	−0.404485	+	0.466800i
$633$	−5.00269	+	5.77341i	−0.198839	+	0.229473i
$634$	−2.19896	+	0.645674i	−0.0873319	+	0.0256430i
$635$	27.8383	+	60.9573i	1.10473	+	2.41902i
$636$	−9.84957	+	6.32993i	−0.390561	+	0.250998i
$637$	15.7514	+	4.62504i	0.624094	+	0.183251i
$638$	0.527732	+	3.67046i	0.0208931	+	0.145315i
$639$	6.45051	−	14.1246i	0.255178	−	0.558762i
$640$	−6.27166	+	43.6203i	−0.247909	+	1.72424i
$641$	38.1130	+	24.4937i	1.50537	+	0.967443i	0.994152	+	0.107993i	$0.0344424\pi$
$641$	38.1130	+	24.4937i	1.50537	+	0.967443i	0.511219	+	0.859450i	$0.329194\pi$
$642$	−31.7876	−	36.6849i	−1.25456	−	1.44784i
$643$	19.5967			0.772820			0.386410	−	0.922327i	$-0.373715\pi$
$643$	19.5967			0.772820			0.386410	+	0.922327i	$0.373715\pi$
$644$		0			0
$645$		0			0
$646$	−11.0961	−	12.8056i	−0.436572	−	0.503831i
$647$	−5.64330	−	3.62673i	−0.221861	−	0.142581i	0.424989	−	0.905198i	$-0.360278\pi$
$647$	−5.64330	−	3.62673i	−0.221861	−	0.142581i	−0.646850	+	0.762617i	$0.723914\pi$
$648$	3.50048	−	24.3464i	0.137512	−	0.956416i
$649$	0.784529	−	1.71788i	0.0307955	−	0.0674327i
$650$	3.78021	+	26.2919i	0.148272	+	1.03125i
$651$	−17.7900	−	5.22361i	−0.697244	−	0.204729i
$652$	−5.32197	+	3.42022i	−0.208424	+	0.133946i
$653$	10.0966	+	22.1086i	0.395112	+	0.865175i	0.997743	+	0.0671545i	$0.0213920\pi$
$653$	10.0966	+	22.1086i	0.395112	+	0.865175i	−0.602630	+	0.798020i	$0.705881\pi$
$654$		0			0
$655$	11.2142	−	12.9419i	0.438176	−	0.505683i
$656$	17.3946	−	20.0745i	0.679145	−	0.783776i
$657$	−29.6908	+	8.71801i	−1.15835	+	0.340122i
$658$	1.85779	+	4.06800i	0.0724243	+	0.158587i
$659$	17.3740	−	11.1656i	0.676794	−	0.434949i	−0.156575	−	0.987666i	$-0.550045\pi$
$659$	17.3740	−	11.1656i	0.676794	−	0.434949i	0.833369	+	0.552717i	$0.186409\pi$
$660$	−3.27802	−	0.962513i	−0.127597	−	0.0374658i
$661$	0.719505	+	5.00427i	0.0279855	+	0.194643i	0.999018	−	0.0443035i	$-0.0141069\pi$
$661$	0.719505	+	5.00427i	0.0279855	+	0.194643i	−0.971033	+	0.238947i	$0.923198\pi$
$662$	−7.83228	+	17.1503i	−0.304410	+	0.666565i
$663$	−4.99875	+	34.7671i	−0.194135	+	1.35024i
$664$	−24.8984	−	16.0012i	−0.966244	−	0.620967i
$665$	5.23889	+	6.04600i	0.203155	+	0.234454i
$666$	−10.4721			−0.405787
$667$		0			0
$668$	6.47214			0.250414
$669$	−5.85725	−	6.75963i	−0.226454	−	0.261342i
$670$	−31.8739	−	20.4841i	−1.23140	−	0.791370i
$671$	1.18985	−	8.27558i	0.0459336	−	0.319475i
$672$	−3.88310	+	8.50281i	−0.149794	+	0.328003i
$673$	−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	$0.972961\pi$
$674$	−5.30395	−	1.55738i	−0.204300	−	0.0599880i
$675$	−10.2936	+	6.61532i	−0.396202	+	0.254624i
$676$	−1.02696	−	2.24873i	−0.0394986	−	0.0864898i
$677$	−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	$0.521517\pi$
$678$	31.3603	−	36.1917i	1.20439	−	1.38994i
$679$	3.47400	−	4.00921i	0.133320	−	0.153860i
$680$	36.3538	−	10.6744i	1.39410	−	0.409346i
$681$	9.45648	+	20.7068i	0.362373	+	0.793486i
$682$	−6.97550	+	4.48288i	−0.267106	+	0.171658i
$683$	21.6814	+	6.36624i	0.829617	+	0.243597i	0.668852	−	0.743395i	$-0.266786\pi$
$683$	21.6814	+	6.36624i	0.829617	+	0.243597i	0.160764	+	0.986993i	$0.448604\pi$
$684$	0.351822	+	2.44697i	0.0134522	+	0.0935624i
$685$	−18.6705	+	40.8827i	−0.713364	+	1.56205i
$686$	3.54994	−	24.6904i	0.135537	−	0.942683i
$687$	−22.5732	−	14.5069i	−0.861221	−	0.553473i
$688$		0			0
$689$	−25.4164			−0.968288
$690$		0			0
$691$	24.9443			0.948925			0.474462	−	0.880276i	$-0.342642\pi$
$691$	24.9443			0.948925			0.474462	+	0.880276i	$0.342642\pi$
$692$	−2.04619	−	2.36142i	−0.0777843	−	0.0897679i
$693$	1.58874	+	1.02102i	0.0603514	+	0.0387855i
$694$	5.96136	−	41.4622i	0.226290	−	1.57388i
$695$	−3.64067	+	7.97195i	−0.138098	+	0.302393i
$696$	2.13472	+	14.8473i	0.0809165	+	0.562786i
$697$	−27.4918	−	8.07234i	−1.04133	−	0.305762i
$698$	3.28916	−	2.11381i	0.124496	−	0.0800090i
$699$	−14.3720	−	31.4703i	−0.543599	−	1.19032i
$700$	4.01101	−	1.17774i	0.151602	−	0.0445143i
$701$	17.1445	−	19.7858i	0.647538	−	0.747299i	−0.333151	−	0.942874i	$-0.608112\pi$
$701$	17.1445	−	19.7858i	0.647538	−	0.747299i	0.980689	+	0.195575i	$0.0626573\pi$
$702$	−7.10793	+	8.20298i	−0.268271	+	0.309602i
$703$	6.20997	−	1.82341i	0.234213	−	0.0687713i
$704$	−1.34431	−	2.94363i	−0.0506656	−	0.110942i
$705$	−13.6118	+	8.74775i	−0.512649	+	0.329459i
$706$	−54.8972	−	16.1193i	−2.06608	−	0.606657i
$707$	−0.786697	−	5.47160i	−0.0295868	−	0.205781i
$708$	−1.41923	+	3.10767i	−0.0533378	+	0.116794i
$709$	−2.28684	+	15.9053i	−0.0858841	+	0.597337i	0.900744	+	0.434350i	$0.143022\pi$
$709$	−2.28684	+	15.9053i	−0.0858841	+	0.597337i	−0.986628	+	0.162987i	$0.947887\pi$
$710$	34.1990	+	21.9784i	1.28347	+	0.824834i
$711$	−9.09506	−	10.4963i	−0.341091	−	0.393641i
$712$	−3.41641			−0.128035
$713$		0			0
$714$	23.4164			0.876337
$715$	−4.85671	−	5.60495i	−0.181631	−	0.209613i
$716$	−6.60729	−	4.24625i	−0.246926	−	0.158690i
$717$	−5.80318	+	40.3620i	−0.216724	+	1.50735i
$718$	−10.6796	+	23.3850i	−0.398558	+	0.872721i
$719$	2.98068	+	20.7311i	0.111161	+	0.773139i	0.966794	+	0.255557i	$0.0822588\pi$
$719$	2.98068	+	20.7311i	0.111161	+	0.773139i	−0.855633	+	0.517582i	$0.826832\pi$
$720$	−30.1438	−	8.85102i	−1.12339	−	0.329858i
$721$	−18.9048	+	12.1494i	−0.704050	+	0.452466i
$722$	10.0823	+	22.0772i	0.375226	+	0.821630i
$723$	−36.7407	+	10.7880i	−1.36640	+	0.401212i
$724$	5.93024	−	6.84386i	0.220396	−	0.254350i
$725$	10.7505	−	12.4067i	0.399262	−	0.460773i
$726$	−36.1603	+	10.6176i	−1.34204	+	0.394057i
$727$	−5.93703	−	13.0003i	−0.220192	−	0.482154i	0.767008	−	0.641637i	$-0.221744\pi$
$727$	−5.93703	−	13.0003i	−0.220192	−	0.482154i	−0.987201	+	0.159483i	$0.949017\pi$
$728$	−6.97550	+	4.48288i	−0.258529	+	0.166147i
$729$	6.71645	+	1.97213i	0.248757	+	0.0730418i
$730$	−11.5294	−	80.1886i	−0.426721	−	2.96791i
$731$		0			0
$732$	−2.15246	+	14.9707i	−0.0795571	+	0.553332i
$733$	−22.5153	−	14.4697i	−0.831620	−	0.534450i	0.0541724	−	0.998532i	$-0.482748\pi$
$733$	−22.5153	−	14.4697i	−0.831620	−	0.534450i	−0.885792	+	0.464082i	$0.846384\pi$
$734$	19.2637	+	22.2314i	0.711034	+	0.820577i
$735$	39.5967			1.46055
$736$		0			0
$737$	5.52786			0.203621
$738$	11.5964	+	13.3830i	0.426870	+	0.492634i
$739$	41.3731	+	26.5889i	1.52194	+	0.978088i	0.991463	+	0.130386i	$0.0416217\pi$
$739$	41.3731	+	26.5889i	1.52194	+	0.978088i	0.530472	+	0.847702i	$0.322015\pi$
$740$	0.921081	−	6.40626i	0.0338596	−	0.235499i
$741$	−5.57338	+	12.2040i	−0.204743	+	0.448325i
$742$	2.41142	+	16.7718i	0.0885261	+	0.615712i
$743$	−0.839929	−	0.246625i	−0.0308140	−	0.00904781i	0.266289	−	0.963893i	$-0.414202\pi$
$743$	−0.839929	−	0.246625i	−0.0308140	−	0.00904781i	−0.297103	+	0.954845i	$0.596021\pi$
$744$	−28.2165	+	18.1336i	−1.03447	+	0.664812i
$745$	15.9819	+	34.9955i	0.585532	+	1.28214i
$746$	−8.86194	+	2.60210i	−0.324459	+	0.0952697i
$747$	17.3356	−	20.0063i	0.634275	−	0.731992i
$748$	1.61890	−	1.86832i	0.0591930	−	0.0683124i
$749$	−15.9118	+	4.67214i	−0.581406	+	0.170716i
$750$	2.29636	+	5.02832i	0.0838511	+	0.183608i
$751$	−37.3186	+	23.9832i	−1.36177	+	0.875159i	−0.998403	−	0.0564854i	$-0.982011\pi$
$751$	−37.3186	+	23.9832i	−1.36177	+	0.875159i	−0.363371	+	0.931645i	$0.618374\pi$
$752$	10.4144	+	3.05795i	0.379775	+	0.111512i
$753$	−4.99875	−	34.7671i	−0.182165	−	1.26698i
$754$	6.04940	−	13.2463i	0.220306	−	0.482403i
$755$	−0.108719	+	0.756156i	−0.00395668	+	0.0275193i
$756$	1.43703	+	0.923525i	0.0522644	+	0.0335883i
$757$	31.1692	+	35.9712i	1.13287	+	1.30740i	0.945690	+	0.325070i	$0.105388\pi$
$757$	31.1692	+	35.9712i	1.13287	+	1.30740i	0.187175	+	0.982327i	$0.440067\pi$
$758$	32.9443			1.19659
$759$		0			0
$760$	14.4721			0.524960
$761$	10.6775	+	12.3225i	0.387058	+	0.446689i	0.915523	−	0.402267i	$-0.131777\pi$
$761$	10.6775	+	12.3225i	0.387058	+	0.446689i	−0.528465	+	0.848955i	$0.677232\pi$
$762$	63.0292	+	40.5064i	2.28331	+	1.46739i
$763$		0			0
$764$	−0.980662	+	2.14735i	−0.0354791	+	0.0776884i
$765$	4.82284	+	33.5436i	0.174370	+	1.21277i
$766$	38.7258	+	11.3709i	1.39922	+	0.410848i
$767$	−6.23908	+	4.00961i	−0.225280	+	0.144779i
$768$	12.5980	+	27.5857i	0.454590	+	0.995414i
$769$	−16.4309	+	4.82456i	−0.592515	+	0.173978i	−0.564224	−	0.825622i	$-0.690825\pi$
$769$	−16.4309	+	4.82456i	−0.592515	+	0.173978i	−0.0282908	+	0.999600i	$0.509006\pi$
$770$	−3.23781	+	3.73663i	−0.116683	+	0.134659i
$771$	−2.15567	+	2.48777i	−0.0776345	+	0.0895950i
$772$	4.71095	−	1.38326i	0.169551	−	0.0497846i
$773$	−6.01194	−	13.1643i	−0.216235	−	0.473488i	0.770167	−	0.637843i	$-0.220173\pi$
$773$	−6.01194	−	13.1643i	−0.216235	−	0.473488i	−0.986401	+	0.164355i	$0.947446\pi$
$774$		0			0
$775$	35.2213	+	10.3419i	1.26519	+	0.371492i
$776$	−1.36576	−	9.49907i	−0.0490279	−	0.340997i
$777$	−3.71558	+	8.13600i	−0.133296	+	0.291877i
$778$	7.93791	−	55.2094i	0.284588	−	1.97935i
$779$	−9.20691	−	5.91692i	−0.329872	−	0.211996i
$780$	8.78588	+	10.1394i	0.314585	+	0.363050i
$781$	−5.93112			−0.212232
$782$		0			0
$783$	6.70820			0.239732
$784$	−17.3946	−	20.0745i	−0.621236	−	0.716945i
$785$	−41.9689	−	26.9718i	−1.49793	−	0.962664i
$786$	2.72475	−	18.9510i	0.0971884	−	0.675961i
$787$	21.3591	−	46.7700i	0.761371	−	1.66717i	0.0165899	−	0.999862i	$-0.494719\pi$
$787$	21.3591	−	46.7700i	0.761371	−	1.66717i	0.744781	−	0.667308i	$-0.232554\pi$
$788$	−0.657215	−	4.57103i	−0.0234123	−	0.162836i
$789$	32.0628	+	9.41449i	1.14147	+	0.335165i
$790$	30.5886	−	19.6581i	1.08829	−	0.699403i
$791$	−6.79647	−	14.8822i	−0.241655	−	0.529150i
$792$	3.27802	−	0.962513i	0.116479	−	0.0342014i
$793$	−21.5009	+	24.8134i	−0.763520	+	0.881149i
$794$	2.56039	−	2.95485i	0.0908650	−	0.104864i
$795$	−58.8217	+	17.2716i	−2.08619	+	0.612561i
$796$	−6.60034	−	14.4527i	−0.233943	−	0.512263i
$797$	8.71596	−	5.60141i	0.308735	−	0.198412i	−0.377093	−	0.926175i	$-0.623076\pi$
$797$	8.71596	−	5.60141i	0.308735	−	0.198412i	0.685828	+	0.727763i	$0.259440\pi$
$798$	8.58197	+	2.51989i	0.303798	+	0.0892032i
$799$	−1.66625	−	11.5890i	−0.0589477	−	0.409990i
$800$	7.68791	−	16.8342i	0.271809	−	0.595178i
$801$	0.434875	−	3.02463i	0.0153656	−	0.106870i
$802$	−11.1349	−	7.15596i	−0.393187	−	0.252686i
$803$	7.74023	+	8.93270i	0.273147	+	0.315228i
$804$	−10.0000			−0.352673
$805$		0			0
$806$	32.5623			1.14696
$807$	−14.5615	−	16.8049i	−0.512590	−	0.591560i
$808$	−8.41254	−	5.40641i	−0.295952	−	0.190197i
$809$	−6.81525	+	47.4011i	−0.239611	+	1.66653i	0.414434	+	0.910079i	$0.363979\pi$
$809$	−6.81525	+	47.4011i	−0.239611	+	1.66653i	−0.654046	+	0.756455i	$0.726930\pi$
$810$	−23.9266	+	52.3918i	−0.840693	+	1.84086i
$811$	7.92017	+	55.0860i	0.278115	+	1.93433i	0.349621	+	0.936891i	$0.386311\pi$
$811$	7.92017	+	55.0860i	0.278115	+	1.93433i	−0.0715057	+	0.997440i	$0.522780\pi$
$812$	−2.19896	−	0.645674i	−0.0771684	−	0.0226587i
$813$	15.0488	−	9.67128i	0.527784	−	0.339186i
$814$	1.66166	+	3.63853i	0.0582412	+	0.127530i
$815$	−31.7828	+	9.33228i	−1.11330	+	0.326896i
$816$	37.2176	−	42.9514i	1.30288	−	1.50360i
$817$		0			0
$818$	−36.2673	+	10.6490i	−1.26806	+	0.372335i
$819$	−3.08089	−	6.74620i	−0.107655	−	0.235731i
$820$	−9.20691	+	5.91692i	−0.321519	+	0.206628i
$821$	20.2028	+	5.93208i	0.705083	+	0.207031i	0.614568	−	0.788864i	$-0.289330\pi$
$821$	20.2028	+	5.93208i	0.705083	+	0.207031i	0.0905154	+	0.995895i	$0.471149\pi$
$822$	7.15121	+	49.7378i	0.249427	+	1.73480i
$823$	11.4410	−	25.0522i	0.398807	−	0.873265i	−0.598583	−	0.801061i	$-0.704269\pi$
$823$	11.4410	−	25.0522i	0.398807	−	0.873265i	0.997390	−	0.0722040i	$-0.0230033\pi$
$824$	−5.78545	+	40.2387i	−0.201546	+	1.40178i
$825$	−7.86364	−	5.05365i	−0.273777	−	0.175946i
$826$	3.23781	+	3.73663i	0.112658	+	0.130014i
$827$	10.4721			0.364152			0.182076	−	0.983284i	$-0.441718\pi$
$827$	10.4721			0.364152			0.182076	+	0.983284i	$0.441718\pi$
$828$		0			0
$829$	−40.2492			−1.39791			−0.698957	−	0.715164i	$-0.746352\pi$
$829$	−40.2492			−1.39791			−0.698957	+	0.715164i	$0.746352\pi$
$830$	45.3851	+	52.3772i	1.57534	+	1.81804i
$831$	12.2796	+	7.89160i	0.425973	+	0.273756i
$832$	−1.80857	+	12.5789i	−0.0627007	+	0.436093i
$833$	−11.9027	+	26.0632i	−0.412403	+	0.903037i
$834$	1.39445	+	9.69864i	0.0482860	+	0.335836i
$835$	32.5158	+	9.54751i	1.12526	+	0.330405i
$836$	0.794372	−	0.510512i	0.0274739	−	0.0176564i
$837$	6.23123	+	13.6445i	0.215383	+	0.471622i
$838$	−48.7737	+	14.3213i	−1.68486	+	0.494720i
$839$	0.573257	−	0.661574i	0.0197910	−	0.0228401i	−0.745768	−	0.666206i	$-0.767917\pi$
$839$	0.573257	−	0.661574i	0.0197910	−	0.0228401i	0.765559	+	0.643366i	$0.222463\pi$
$840$	−13.0972	+	15.1150i	−0.451897	+	0.521517i
$841$	19.1899	−	5.63465i	0.661719	−	0.194298i
$842$	15.9356	+	34.8941i	0.549177	+	1.20253i
$843$	−24.8984	+	16.0012i	−0.857545	+	0.551111i
$844$	−2.02593	−	0.594866i	−0.0697353	−	0.0204761i
$845$	−1.84216	−	12.8125i	−0.0633723	−	0.440764i
$846$	−3.00597	+	6.58216i	−0.103347	+	0.226299i
$847$	−1.83236	+	12.7443i	−0.0629606	+	0.437901i
$848$	34.5962	+	22.2336i	1.18804	+	0.763506i
$849$	−20.9277	−	24.1518i	−0.718236	−	0.828888i
$850$	−46.3607			−1.59016
$851$		0			0
$852$	10.7295			0.367586
$853$	24.5025	+	28.2774i	0.838951	+	0.968201i	0.999824	−	0.0187742i	$-0.00597637\pi$
$853$	24.5025	+	28.2774i	0.838951	+	0.968201i	−0.160873	+	0.986975i	$0.551431\pi$
$854$	18.4138	+	11.8338i	0.630108	+	0.404946i
$855$	−1.84216	+	12.8125i	−0.0630006	+	0.438179i
$856$	−12.4625	+	27.2890i	−0.425958	+	0.932717i
$857$	1.06340	+	7.39608i	0.0363249	+	0.252645i	0.999890	−	0.0148285i	$-0.00472022\pi$
$857$	1.06340	+	7.39608i	0.0363249	+	0.252645i	−0.963565	+	0.267474i	$0.913811\pi$
$858$	−7.95592	−	2.33607i	−0.271611	−	0.0797521i
$859$	−2.76924	+	1.77968i	−0.0944851	+	0.0607219i	−0.587030	−	0.809565i	$-0.699703\pi$
$859$	−2.76924	+	1.77968i	−0.0944851	+	0.0607219i	0.492545	+	0.870287i	$0.336067\pi$
$860$		0			0
$861$	14.5120	−	4.26110i	0.494566	−	0.145218i
$862$	−28.0495	+	32.3709i	−0.955371	+	1.10256i
$863$	−29.8230	+	34.4176i	−1.01519	+	1.17159i	−0.0300980	+	0.999547i	$0.509582\pi$
$863$	−29.8230	+	34.4176i	−1.01519	+	1.17159i	−0.985090	+	0.172042i	$0.944964\pi$
$864$	7.25598	−	2.13055i	0.246853	−	0.0724827i
$865$	−6.79647	−	14.8822i	−0.231087	−	0.506010i
$866$	−54.6925	+	35.1488i	−1.85853	+	1.19440i
$867$	−22.3483	−	6.56206i	−0.758989	−	0.222859i
$868$	−0.729308	−	5.07245i	−0.0247543	−	0.172170i
$869$	−2.20376	+	4.82555i	−0.0747573	+	0.163696i
$870$	4.99875	−	34.7671i	0.169474	−	1.17871i
$871$	−18.2621	−	11.7363i	−0.618788	−	0.397671i
$872$		0			0
$873$	8.58359			0.290511
$874$		0			0
$875$	1.88854			0.0638444
$876$	−14.0022	−	16.1594i	−0.473091	−	0.545976i
$877$	−23.1579	−	14.8827i	−0.781987	−	0.502553i	0.0877054	−	0.996146i	$-0.472047\pi$
$877$	−23.1579	−	14.8827i	−0.781987	−	0.502553i	−0.869693	+	0.493594i	$0.835683\pi$
$878$	−1.21854	+	8.47515i	−0.0411238	+	0.286023i
$879$	−9.72753	+	21.3003i	−0.328101	+	0.718442i
$880$	1.70778	+	11.8779i	0.0575692	+	0.400402i
$881$	−20.9358	−	6.14731i	−0.705345	−	0.207108i	−0.0906616	−	0.995882i	$-0.528898\pi$
$881$	−20.9358	−	6.14731i	−0.705345	−	0.207108i	−0.614684	+	0.788774i	$0.710716\pi$
$882$	14.8971	−	9.57378i	0.501611	−	0.322366i
$883$	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	$0.842196\pi$
$884$	−9.31495	+	2.73512i	−0.313296	+	0.0919919i
$885$	−11.7145	+	13.5193i	−0.393779	+	0.454445i
$886$	−2.25121	+	2.59804i	−0.0756309	+	0.0872827i
$887$	33.6483	−	9.88005i	1.12980	−	0.331739i	0.337172	−	0.941443i	$-0.390530\pi$
$887$	33.6483	−	9.88005i	1.12980	−	0.331739i	0.792629	+	0.609704i	$0.208712\pi$
$888$	6.72156	+	14.7182i	0.225561	+	0.493909i
$889$	21.5334	−	13.8386i	0.722206	−	0.464133i
$890$	7.67594	+	2.25386i	0.257298	+	0.0755496i
$891$	−1.19591	−	8.31772i	−0.0400644	−	0.278654i
$892$	1.02696	−	2.24873i	0.0343852	−	0.0752932i
$893$	0.636451	−	4.42662i	0.0212980	−	0.148131i
$894$	36.1850	+	23.2547i	1.21021	+	0.777752i
$895$	−26.9309	−	31.0799i	−0.900200	−	1.03889i
$896$	16.8328			0.562345
$897$		0			0
$898$	−4.76393			−0.158974
$899$	−13.1788	−	15.2092i	−0.439538	−	0.507254i
$900$	5.69018	+	3.65686i	0.189673	+	0.121895i
$901$	6.31318	−	43.9092i	0.210323	−	1.46283i
$902$	2.80984	−	6.15269i	0.0935574	−	0.204862i
$903$		0			0
$904$	−28.3979	−	8.33837i	−0.944499	−	0.277330i
$905$	39.8892	−	25.6352i	1.32596	−	0.852144i
$906$	0.354807	+	0.776918i	0.0117877	+	0.0258114i
$907$	−38.6188	+	11.3395i	−1.28232	+	0.376522i	−0.850756	−	0.525561i	$-0.823855\pi$
$907$	−38.6188	+	11.3395i	−1.28232	+	0.376522i	−0.431562	+	0.902083i	$0.642037\pi$
$908$	−4.12025	+	4.75502i	−0.136735	+	0.157801i
$909$	5.85725	−	6.75963i	0.194273	−	0.224203i
$910$	18.6299	−	5.47023i	0.617575	−	0.181336i
$911$	−13.0045	−	28.4760i	−0.430860	−	0.943451i	−0.993186	−	0.116536i	$-0.962821\pi$
$911$	−13.0045	−	28.4760i	−0.430860	−	0.943451i	0.562327	−	0.826915i	$-0.309906\pi$
$912$	18.2621	−	11.7363i	0.604719	−	0.388629i
$913$	−9.70187	−	2.84873i	−0.321085	−	0.0942791i
$914$	8.08815	+	56.2543i	0.267532	+	1.86073i
$915$	−32.8982	+	72.0369i	−1.08758	+	2.38147i
$916$	1.05546	−	7.34092i	0.0348735	−	0.242551i
$917$	−5.50266	−	3.53634i	−0.181714	−	0.116780i
$918$	−12.4059	−	14.3171i	−0.409454	−	0.472536i
$919$	0.875388			0.0288764			0.0144382	−	0.999896i	$-0.495404\pi$
$919$	0.875388			0.0288764			0.0144382	+	0.999896i	$0.495404\pi$
$920$		0			0
$921$	41.3050			1.36104
$922$	7.91738	+	9.13714i	0.260745	+	0.300916i
$923$	19.5943	+	12.5925i	0.644954	+	0.414487i
$924$	−0.185714	+	1.29167i	−0.00610954	+	0.0424928i
$925$	7.35625	−	16.1079i	0.241872	−	0.529626i
$926$	−4.60540	−	32.0313i	−0.151343	−	1.05261i
$927$	−34.8878	−	10.2440i	−1.14587	−	0.336457i
$928$	−8.53527	+	5.48529i	−0.280184	+	0.180063i
$929$	−17.4243	−	38.1539i	−0.571672	−	1.25179i	−0.945902	−	0.324451i	$-0.894820\pi$
$929$	−17.4243	−	38.1539i	−0.571672	−	1.25179i	0.374230	−	0.927336i	$-0.377907\pi$
$930$	75.3596	−	22.1276i	2.47114	−	0.725591i
$931$	−7.16697	+	8.27113i	−0.234888	+	0.271075i
$932$	6.26198	−	7.22671i	0.205118	−	0.236719i
$933$	19.6963	−	5.78337i	0.644829	−	0.189339i
$934$	20.7994	+	45.5443i	0.680576	+	1.49025i
$935$	10.8894	−	6.99820i	0.356122	−	0.228866i
$936$	−12.8729	−	3.77984i	−0.420766	−	0.123548i
$937$	−1.68211	−	11.6994i	−0.0549522	−	0.382201i	−0.998675	−	0.0514633i	$-0.983611\pi$
$937$	−1.68211	−	11.6994i	−0.0549522	−	0.382201i	0.943723	−	0.330738i	$-0.107298\pi$
$938$	−6.01194	+	13.1643i	−0.196297	+	0.429830i
$939$	6.47929	−	45.0645i	0.211444	−	1.47062i
$940$	−3.76220	−	2.41782i	−0.122709	−	0.0788606i
$941$	16.1439	+	18.6311i	0.526277	+	0.607356i	0.955191	−	0.295989i	$-0.0956491\pi$
$941$	16.1439	+	18.6311i	0.526277	+	0.607356i	−0.428914	+	0.903345i	$0.641104\pi$
$942$	−55.7771			−1.81732
$943$		0			0
$944$	12.0000			0.390567
$945$	5.85725	+	6.75963i	0.190536	+	0.219891i
$946$		0			0
$947$	4.72205	−	32.8426i	0.153446	−	1.06724i	−0.756941	−	0.653484i	$-0.773307\pi$
$947$	4.72205	−	32.8426i	0.153446	−	1.06724i	0.910387	−	0.413758i	$-0.135784\pi$
$948$	3.98663	−	8.72951i	0.129480	−	0.283521i
$949$	−6.60574	−	45.9440i	−0.214432	−	1.49140i
$950$	−16.9909	−	4.98898i	−0.551257	−	0.161864i
$951$	−2.66440	+	1.71231i	−0.0863993	+	0.0555254i
$952$	−6.01194	−	13.1643i	−0.194848	−	0.426658i
$953$	−11.0609	+	3.24777i	−0.358298	+	0.105206i	−0.455927	−	0.890017i	$-0.650692\pi$
$953$	−11.0609	+	3.24777i	−0.358298	+	0.105206i	0.0976293	+	0.995223i	$0.468874\pi$
$954$	−17.9539	+	20.7199i	−0.581280	+	0.670833i
$955$	−8.09452	+	9.34158i	−0.261933	+	0.302286i
$956$	−10.8140	+	3.17527i	−0.349749	+	0.102696i
$957$	2.12884	+	4.66151i	0.0688156	+	0.150685i
$958$	23.9523	−	15.3932i	0.773863	−	0.497332i
$959$	16.4718	+	4.83655i	0.531902	+	0.156180i
$960$	4.36230	+	30.3405i	0.140793	+	0.979235i
$961$	5.81581	−	12.7348i	0.187607	−	0.410802i
$962$	2.23551	−	15.5483i	0.0720758	−	0.501298i
$963$	−22.5732	−	14.5069i	−0.727411	−	0.467479i
$964$	−6.93078	−	7.99855i	−0.223225	−	0.257616i
$965$	25.7082			0.827576
$966$		0			0
$967$	−39.5410			−1.27155			−0.635777	−	0.771873i	$-0.719320\pi$
$967$	−39.5410			−1.27155			−0.635777	+	0.771873i	$0.719320\pi$
$968$	15.2529	+	17.6028i	0.490246	+	0.565774i
$969$	−19.6991	−	12.6599i	−0.632827	−	0.406693i
$970$	−3.19812	+	22.2434i	−0.102685	+	0.714193i
$971$	3.12719	−	6.84759i	0.100356	−	0.219749i	−0.852794	−	0.522248i	$-0.825093\pi$
$971$	3.12719	−	6.84759i	0.100356	−	0.219749i	0.953150	+	0.302499i	$0.0978208\pi$
$972$	1.57339	+	10.9432i	0.0504666	+	0.351003i
$973$	3.21193	+	0.943107i	0.102970	+	0.0302346i
$974$	1.75836	−	1.13003i	0.0563416	−	0.0362085i
$975$	15.2491	+	33.3910i	0.488363	+	1.06937i
$976$	50.9727	−	14.9669i	1.63160	−	0.479080i
$977$	35.7898	−	41.3036i	1.14502	−	1.32142i	0.205601	−	0.978636i	$-0.434085\pi$
$977$	35.7898	−	41.3036i	1.14502	−	1.32142i	0.939415	−	0.342783i	$-0.111370\pi$
$978$	−24.2524	+	27.9888i	−0.775506	+	0.894982i
$979$	−1.11991	+	0.328834i	−0.0357923	+	0.0105096i
$980$	4.54641	+	9.95526i	0.145230	+	0.318009i
$981$		0			0
$982$	61.5602	+	18.0757i	1.96446	+	0.576819i
$983$	4.48688	+	31.2070i	0.143109	+	0.995347i	0.927164	+	0.374656i	$0.122239\pi$
$983$	4.48688	+	31.2070i	0.143109	+	0.995347i	−0.784055	+	0.620692i	$0.786852\pi$
$984$	11.3660	−	24.8881i	0.362336	−	0.793405i
$985$	3.44122	−	23.9342i	0.109646	−	0.762608i
$986$	21.3816	+	13.7411i	0.680930	+	0.437607i
$987$	4.04726	+	4.67079i	0.128826	+	0.148673i
$988$	−3.70820			−0.117974
$989$		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	$0.897214\pi$
$992$	−19.0854	−	12.2655i	−0.605964	−	0.389429i
$993$	−3.70812	+	25.7905i	−0.117674	+	0.818437i
$994$	6.45051	−	14.1246i	0.204598	−	0.448006i
$995$	−11.8397	−	82.3467i	−0.375343	−	2.61057i
$996$	17.5508	+	5.15339i	0.556120	+	0.163292i
$997$	−30.9857	+	19.9133i	−0.981328	+	0.630661i	−0.929821	−	0.368011i	$-0.880039\pi$
$997$	−30.9857	+	19.9133i	−0.981328	+	0.630661i	−0.0515068	+	0.998673i	$0.516402\pi$
$998$	−21.9850	−	48.1404i	−0.695923	−	1.52386i
$999$	6.94296	−	2.03864i	0.219665	−	0.0644996i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.o.266.2		20
23.2	even	11	inner	529.2.c.o.466.1		20
23.3	even	11	inner	529.2.c.o.255.1		20
23.4	even	11		23.2.a.a.1.1	✓	2
23.5	odd	22		529.2.c.n.118.2		20
23.6	even	11	inner	529.2.c.o.399.2		20
23.7	odd	22		529.2.c.n.177.2		20
23.8	even	11	inner	529.2.c.o.487.1		20
23.9	even	11	inner	529.2.c.o.501.2		20
23.10	odd	22		529.2.c.n.334.1		20
23.11	odd	22		529.2.c.n.170.2		20
23.12	even	11	inner	529.2.c.o.170.2		20
23.13	even	11	inner	529.2.c.o.334.1		20
23.14	odd	22		529.2.c.n.501.2		20
23.15	odd	22		529.2.c.n.487.1		20
23.16	even	11	inner	529.2.c.o.177.2		20
23.17	odd	22		529.2.c.n.399.2		20
23.18	even	11	inner	529.2.c.o.118.2		20
23.19	odd	22		529.2.a.a.1.1		2
23.20	odd	22		529.2.c.n.255.1		20
23.21	odd	22		529.2.c.n.466.1		20
23.22	odd	2		529.2.c.n.266.2		20
69.50	odd	22		207.2.a.d.1.2		2
69.65	even	22		4761.2.a.w.1.2		2
92.19	even	22		8464.2.a.bb.1.1		2
92.27	odd	22		368.2.a.h.1.1		2
115.4	even	22		575.2.a.f.1.2		2
115.27	odd	44		575.2.b.d.24.1		4
115.73	odd	44		575.2.b.d.24.4		4
161.27	odd	22		1127.2.a.c.1.1		2
184.27	odd	22		1472.2.a.s.1.2		2
184.165	even	22		1472.2.a.t.1.1		2
253.142	odd	22		2783.2.a.c.1.2		2
276.119	even	22		3312.2.a.ba.1.2		2
299.142	even	22		3887.2.a.i.1.2		2
345.119	odd	22		5175.2.a.be.1.1		2
391.50	even	22		6647.2.a.b.1.1		2
437.303	odd	22		8303.2.a.e.1.2		2
460.119	odd	22		9200.2.a.bt.1.2		2

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.a.a.1.1	✓	2	23.4	even	11
207.2.a.d.1.2		2	69.50	odd	22
368.2.a.h.1.1		2	92.27	odd	22
529.2.a.a.1.1		2	23.19	odd	22
529.2.c.n.118.2		20	23.5	odd	22
529.2.c.n.170.2		20	23.11	odd	22
529.2.c.n.177.2		20	23.7	odd	22
529.2.c.n.255.1		20	23.20	odd	22
529.2.c.n.266.2		20	23.22	odd	2
529.2.c.n.334.1		20	23.10	odd	22
529.2.c.n.399.2		20	23.17	odd	22
529.2.c.n.466.1		20	23.21	odd	22
529.2.c.n.487.1		20	23.15	odd	22
529.2.c.n.501.2		20	23.14	odd	22
529.2.c.o.118.2		20	23.18	even	11	inner
529.2.c.o.170.2		20	23.12	even	11	inner
529.2.c.o.177.2		20	23.16	even	11	inner
529.2.c.o.255.1		20	23.3	even	11	inner
529.2.c.o.266.2		20	1.1	even	1	trivial
529.2.c.o.334.1		20	23.13	even	11	inner
529.2.c.o.399.2		20	23.6	even	11	inner
529.2.c.o.466.1		20	23.2	even	11	inner
529.2.c.o.487.1		20	23.8	even	11	inner
529.2.c.o.501.2		20	23.9	even	11	inner
575.2.a.f.1.2		2	115.4	even	22
575.2.b.d.24.1		4	115.27	odd	44
575.2.b.d.24.4		4	115.73	odd	44
1127.2.a.c.1.1		2	161.27	odd	22
1472.2.a.s.1.2		2	184.27	odd	22
1472.2.a.t.1.1		2	184.165	even	22
2783.2.a.c.1.2		2	253.142	odd	22
3312.2.a.ba.1.2		2	276.119	even	22
3887.2.a.i.1.2		2	299.142	even	22
4761.2.a.w.1.2		2	69.65	even	22
5175.2.a.be.1.1		2	345.119	odd	22
6647.2.a.b.1.1		2	391.50	even	22
8303.2.a.e.1.2		2	437.303	odd	22
8464.2.a.bb.1.1		2	92.19	even	22
9200.2.a.bt.1.2		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)

\(f(q)\)	\(=\)	\(q+(1.05959 + 1.22283i) q^{2} +(1.88110 + 1.20891i) q^{3} +(-0.0879554 + 0.611743i) q^{4} +(-1.34431 + 2.94363i) q^{5} +(0.514900 + 3.58121i) q^{6} +(1.18600 + 0.348241i) q^{7} +(1.88110 - 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +O(q^{10})\)	\(q+(1.05959 + 1.22283i) q^{2} +(1.88110 + 1.20891i) q^{3} +(-0.0879554 + 0.611743i) q^{4} +(-1.34431 + 2.94363i) q^{5} +(0.514900 + 3.58121i) q^{6} +(1.18600 + 0.348241i) q^{7} +(1.88110 - 1.20891i) q^{8} +(0.830830 + 1.81926i) q^{9} +(-5.02397 + 1.47517i) q^{10} +(0.500269 - 0.577341i) q^{11} +(-0.904995 + 1.04442i) q^{12} +(-2.87848 + 0.845198i) q^{13} +(0.830830 + 1.81926i) q^{14} +(-6.08737 + 3.91211i) q^{15} +(4.65748 + 1.36756i) q^{16} +(-0.745170 - 5.18277i) q^{17} +(-1.34431 + 2.94363i) q^{18} +(0.284630 - 1.97964i) q^{19} +(-1.68251 - 1.08128i) q^{20} +(1.80999 + 2.08884i) q^{21} +1.23607 q^{22} +5.00000 q^{24} +(-3.58349 - 4.13556i) q^{25} +(-4.08353 - 2.62433i) q^{26} +(0.318226 - 2.21331i) q^{27} +(-0.317349 + 0.694897i) q^{28} +(0.426945 + 2.96946i) q^{29} +(-11.2339 - 3.29858i) q^{30} +(-5.64330 + 3.62673i) q^{31} +(1.40492 + 3.07634i) q^{32} +(1.63901 - 0.481257i) q^{33} +(5.54807 - 6.40281i) q^{34} +(-2.61944 + 3.02300i) q^{35} +(-1.18600 + 0.348241i) q^{36} +(1.34431 + 2.94363i) q^{37} +(2.72235 - 1.74955i) q^{38} +(-6.43647 - 1.88992i) q^{39} +(1.02980 + 7.16242i) q^{40} +(2.27321 - 4.97763i) q^{41} +(-0.636451 + 4.42662i) q^{42} +(0.309183 + 0.356817i) q^{44} -6.47214 q^{45} +2.23607 q^{47} +(7.10793 + 8.20298i) q^{48} +(-4.60345 - 2.95846i) q^{49} +(1.26007 - 8.76398i) q^{50} +(4.86376 - 10.6502i) q^{51} +(-0.263866 - 1.83523i) q^{52} +(8.12895 + 2.38688i) q^{53} +(3.04368 - 1.95606i) q^{54} +(1.02696 + 2.24873i) q^{55} +(2.65197 - 0.778690i) q^{56} +(2.92863 - 3.37981i) q^{57} +(-3.17876 + 3.66849i) q^{58} +(2.37200 - 0.696481i) q^{59} +(-1.85779 - 4.06800i) q^{60} +(9.20691 - 5.91692i) q^{61} +(-10.4144 - 3.05795i) q^{62} +(0.351822 + 2.44697i) q^{63} +(1.75973 - 3.85326i) q^{64} +(1.38162 - 9.60939i) q^{65} +(2.32517 + 1.49429i) q^{66} +(4.73862 + 5.46866i) q^{67} +3.23607 q^{68} -6.47214 q^{70} +(-5.08429 - 5.86759i) q^{71} +(3.76220 + 2.41782i) q^{72} +(-2.20191 + 15.3147i) q^{73} +(-2.17514 + 4.76289i) q^{74} +(-1.74137 - 12.1115i) q^{75} +(1.18600 + 0.348241i) q^{76} +(0.794372 - 0.510512i) q^{77} +(-4.50896 - 9.87324i) q^{78} +(-6.66298 + 1.95643i) q^{79} +(-10.2867 + 11.8715i) q^{80} +(7.20347 - 8.31325i) q^{81} +(8.49545 - 2.49449i) q^{82} +(-5.49846 - 12.0400i) q^{83} +(-1.43703 + 0.923525i) q^{84} +(16.2579 + 4.77375i) q^{85} +(-2.78669 + 6.10200i) q^{87} +(0.243103 - 1.69082i) q^{88} +(-1.28532 - 0.826026i) q^{89} +(-6.85779 - 7.91431i) q^{90} -3.70820 q^{91} -15.0000 q^{93} +(2.36931 + 2.73433i) q^{94} +(5.44471 + 3.49910i) q^{95} +(-1.07623 + 7.48533i) q^{96} +(1.78288 - 3.90396i) q^{97} +(-1.26007 - 8.76398i) q^{98} +(1.46597 + 0.430449i) 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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