LMFDB - Embedded newform 483.2.bb.a.26.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Embedding invariants

Embedding label			26.18
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540355 + 1.34974i) q^{2} +(1.46964 - 0.916597i) q^{3} +(-0.0823512 - 0.0785217i) q^{4} +(-0.663517 - 1.91711i) q^{5} +(0.443041 + 2.47893i) q^{6} +(-2.13757 - 1.55910i) q^{7} +(-2.49452 + 1.13921i) q^{8} +(1.31970 - 2.69414i) q^{9} +O(q^{10})$	\(q+(-0.540355 + 1.34974i) q^{2} +(1.46964 - 0.916597i) q^{3} +(-0.0823512 - 0.0785217i) q^{4} +(-0.663517 - 1.91711i) q^{5} +(0.443041 + 2.47893i) q^{6} +(-2.13757 - 1.55910i) q^{7} +(-2.49452 + 1.13921i) q^{8} +(1.31970 - 2.69414i) q^{9} +(2.94614 + 0.140342i) q^{10} +(-0.925563 - 2.31194i) q^{11} +(-0.193000 - 0.0399160i) q^{12} +(3.13050 - 4.87115i) q^{13} +(3.25943 - 2.04270i) q^{14} +(-2.73235 - 2.20929i) q^{15} +(-0.200540 - 4.20985i) q^{16} +(1.50047 + 6.18502i) q^{17} +(2.92329 + 3.23705i) q^{18} +(5.80760 + 1.40891i) q^{19} +(-0.0958931 + 0.209977i) q^{20} +(-4.57053 - 0.332032i) q^{21} +3.62066 q^{22} +(-2.72199 - 3.94851i) q^{23} +(-2.62186 + 3.96070i) q^{24} +(0.695219 - 0.546726i) q^{25} +(4.88321 + 6.85751i) q^{26} +(-0.529955 - 5.16906i) q^{27} +(0.0536081 + 0.296239i) q^{28} +(0.411611 - 1.40182i) q^{29} +(4.45840 - 2.49417i) q^{30} +(-5.90312 - 4.20359i) q^{31} +(0.607547 + 0.210274i) q^{32} +(-3.47937 - 2.54936i) q^{33} +(-9.15896 - 1.31686i) q^{34} +(-1.57065 + 5.13244i) q^{35} +(-0.320227 + 0.118241i) q^{36} +(4.93645 - 0.951423i) q^{37} +(-5.03983 + 7.07745i) q^{38} +(0.135831 - 10.0282i) q^{39} +(3.83915 + 4.02638i) q^{40} +(-0.0687501 + 0.0793419i) q^{41} +(2.91787 - 5.98962i) q^{42} +(-3.67889 + 8.05564i) q^{43} +(-0.105317 + 0.263068i) q^{44} +(-6.04060 - 0.742396i) q^{45} +(6.80032 - 1.54038i) q^{46} +(1.87565 - 3.24871i) q^{47} +(-4.15346 - 6.00316i) q^{48} +(2.13841 + 6.66537i) q^{49} +(0.362274 + 1.23379i) q^{50} +(7.87432 + 7.71444i) q^{51} +(-0.640291 + 0.155333i) q^{52} +(-4.80229 + 9.31514i) q^{53} +(7.26326 + 2.07782i) q^{54} +(-3.81812 + 3.30842i) q^{55} +(7.10835 + 1.45407i) q^{56} +(9.82650 - 3.25264i) q^{57} +(1.66968 + 1.31305i) q^{58} +(-0.123465 + 2.59186i) q^{59} +(0.0515354 + 0.396486i) q^{60} +(-0.566176 + 5.92926i) q^{61} +(8.86354 - 5.69625i) q^{62} +(-7.02139 + 3.70137i) q^{63} +(4.90788 - 5.66399i) q^{64} +(-11.4157 - 2.76941i) q^{65} +(5.32108 - 3.31869i) q^{66} +(-0.244715 + 0.192446i) q^{67} +(0.362093 - 0.627163i) q^{68} +(-7.61955 - 3.30794i) q^{69} +(-6.07876 - 4.89331i) q^{70} +(13.6919 - 1.96859i) q^{71} +(-0.222827 + 8.22400i) q^{72} +(-4.61079 + 4.83566i) q^{73} +(-1.38326 + 7.17704i) q^{74} +(0.520596 - 1.44073i) q^{75} +(-0.367633 - 0.572048i) q^{76} +(-1.62610 + 6.38499i) q^{77} +(13.4621 + 5.60215i) q^{78} +(4.87886 - 2.51523i) q^{79} +(-7.93768 + 3.17777i) q^{80} +(-5.51679 - 7.11091i) q^{81} +(-0.0699416 - 0.135668i) q^{82} +(-2.39157 - 2.76001i) q^{83} +(0.350317 + 0.386229i) q^{84} +(10.8618 - 6.98043i) q^{85} +(-8.88513 - 9.31846i) q^{86} +(-0.679982 - 2.43745i) q^{87} +(4.94263 + 4.71278i) q^{88} +(0.557428 + 0.782799i) q^{89} +(4.26611 - 7.75209i) q^{90} +(-14.2863 + 5.53165i) q^{91} +(-0.0858850 + 0.538900i) q^{92} +(-12.5285 - 0.766995i) q^{93} +(3.37141 + 4.28710i) q^{94} +(-1.15241 - 12.0686i) q^{95} +(1.08561 - 0.247848i) q^{96} +(10.5745 + 9.16286i) q^{97} +(-10.1520 - 0.715374i) q^{98} +(-7.45017 - 0.557475i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

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 $

$2$	−0.540355	+	1.34974i	−0.382089	+	0.954412i	0.605286	+	0.796008i	$0.293059\pi$
$2$	−0.540355	+	1.34974i	−0.382089	+	0.954412i	−0.987374	+	0.158403i	$0.949365\pi$
$3$	1.46964	−	0.916597i	0.848499	−	0.529198i
$3$	1.46964	−	0.916597i	0.848499	−	0.529198i
$4$	−0.0823512	−	0.0785217i	−0.0411756	−	0.0392608i
$5$	−0.663517	−	1.91711i	−0.296734	−	0.857357i	−0.990544	−	0.137198i	$-0.956190\pi$
$5$	−0.663517	−	1.91711i	−0.296734	−	0.857357i	0.693810	−	0.720158i	$-0.255931\pi$
$6$	0.443041	+	2.47893i	0.180871	+	1.01202i
$7$	−2.13757	−	1.55910i	−0.807925	−	0.589285i
$7$	−2.13757	−	1.55910i	−0.807925	−	0.589285i
$8$	−2.49452	+	1.13921i	−0.881946	+	0.402771i
$9$	1.31970	−	2.69414i	0.439900	−	0.898047i
$10$	2.94614	+	0.140342i	0.931650	+	0.0443799i
$11$	−0.925563	−	2.31194i	−0.279068	−	0.697078i	−0.999992	−	0.00406345i	$-0.998707\pi$
$11$	−0.925563	−	2.31194i	−0.279068	−	0.697078i	0.720924	−	0.693014i	$-0.243718\pi$
$12$	−0.193000	−	0.0399160i	−0.0557142	−	0.0115227i
$13$	3.13050	−	4.87115i	0.868243	−	1.35101i	−0.0672750	−	0.997734i	$-0.521430\pi$
$13$	3.13050	−	4.87115i	0.868243	−	1.35101i	0.935518	−	0.353278i	$-0.114933\pi$
$14$	3.25943	−	2.04270i	0.871120	−	0.545934i
$15$	−2.73235	−	2.20929i	−0.705489	−	0.570435i
$16$	−0.200540	−	4.20985i	−0.0501350	−	1.05246i
$17$	1.50047	+	6.18502i	0.363917	+	1.50009i	0.799901	+	0.600132i	$0.204885\pi$
$17$	1.50047	+	6.18502i	0.363917	+	1.50009i	−0.435984	+	0.899955i	$0.643599\pi$
$18$	2.92329	+	3.23705i	0.689026	+	0.762979i
$19$	5.80760	+	1.40891i	1.33236	+	0.323226i	0.837827	−	0.545936i	$-0.183826\pi$
$19$	5.80760	+	1.40891i	1.33236	+	0.323226i	0.494528	+	0.869162i	$0.335341\pi$
$20$	−0.0958931	+	0.209977i	−0.0214423	+	0.0469522i
$21$	−4.57053	−	0.332032i	−0.997372	−	0.0724553i
$22$	3.62066			0.771928
$23$	−2.72199	−	3.94851i	−0.567574	−	0.823322i
$23$	−2.72199	−	3.94851i	−0.567574	−	0.823322i
$24$	−2.62186	+	3.96070i	−0.535185	+	0.808475i
$25$	0.695219	−	0.546726i	0.139044	−	0.109345i
$26$	4.88321	+	6.85751i	0.957676	+	1.34487i
$27$	−0.529955	−	5.16906i	−0.101990	−	0.994785i
$28$	0.0536081	+	0.296239i	0.0101310	+	0.0559840i
$29$	0.411611	−	1.40182i	0.0764342	−	0.260311i	−0.912407	−	0.409284i	$-0.865779\pi$
$29$	0.411611	−	1.40182i	0.0764342	−	0.260311i	0.988841	+	0.148973i	$0.0475967\pi$
$30$	4.45840	−	2.49417i	0.813989	−	0.455371i
$31$	−5.90312	−	4.20359i	−1.06023	−	0.754987i	−0.0897012	−	0.995969i	$-0.528591\pi$
$31$	−5.90312	−	4.20359i	−1.06023	−	0.754987i	−0.970530	+	0.240982i	$0.922531\pi$
$32$	0.607547	+	0.210274i	0.107400	+	0.0371716i
$33$	−3.47937	−	2.54936i	−0.605680	−	0.443787i
$34$	−9.15896	−	1.31686i	−1.57075	−	0.225840i
$35$	−1.57065	+	5.13244i	−0.265488	+	0.867541i
$36$	−0.320227	+	0.118241i	−0.0533712	+	0.0197068i
$37$	4.93645	−	0.951423i	0.811547	−	0.156413i	0.233437	−	0.972372i	$-0.425003\pi$
$37$	4.93645	−	0.951423i	0.811547	−	0.156413i	0.578110	+	0.815959i	$0.303790\pi$
$38$	−5.03983	+	7.07745i	−0.817569	+	1.14811i
$39$	0.135831	−	10.0282i	0.0217504	−	1.60580i
$40$	3.83915	+	4.02638i	0.607022	+	0.636627i
$41$	−0.0687501	+	0.0793419i	−0.0107370	+	0.0123911i	−0.761093	−	0.648643i	$-0.775337\pi$
$41$	−0.0687501	+	0.0793419i	−0.0107370	+	0.0123911i	0.750356	+	0.661034i	$0.229882\pi$
$42$	2.91787	−	5.98962i	0.450237	−	0.924219i
$43$	−3.67889	+	8.05564i	−0.561025	+	1.22847i	0.390415	+	0.920639i	$0.372332\pi$
$43$	−3.67889	+	8.05564i	−0.561025	+	1.22847i	−0.951440	+	0.307835i	$0.900396\pi$
$44$	−0.105317	+	0.263068i	−0.0158771	+	0.0396590i
$45$	−6.04060	−	0.742396i	−0.900480	−	0.110670i
$46$	6.80032	−	1.54038i	1.00265	−	0.227117i
$47$	1.87565	−	3.24871i	0.273591	−	0.473873i	−0.696188	−	0.717860i	$-0.745122\pi$
$47$	1.87565	−	3.24871i	0.273591	−	0.473873i	0.969779	+	0.243986i	$0.0784552\pi$
$48$	−4.15346	−	6.00316i	−0.599500	−	0.866482i
$49$	2.13841	+	6.66537i	0.305486	+	0.952196i
$50$	0.362274	+	1.23379i	0.0512333	+	0.174485i
$51$	7.87432	+	7.71444i	1.10263	+	1.08024i
$52$	−0.640291	+	0.155333i	−0.0887923	+	0.0215408i
$53$	−4.80229	+	9.31514i	−0.659645	+	1.27953i	0.287208	+	0.957868i	$0.407273\pi$
$53$	−4.80229	+	9.31514i	−0.659645	+	1.27953i	−0.946854	+	0.321665i	$0.895758\pi$
$54$	7.26326	+	2.07782i	0.988404	+	0.282756i
$55$	−3.81812	+	3.30842i	−0.514835	+	0.446107i
$56$	7.10835	+	1.45407i	0.949894	+	0.194309i
$57$	9.82650	−	3.25264i	1.30155	−	0.430823i
$58$	1.66968	+	1.31305i	0.219239	+	0.172412i
$59$	−0.123465	+	2.59186i	−0.0160738	+	0.337431i	0.976479	+	0.215614i	$0.0691752\pi$
$59$	−0.123465	+	2.59186i	−0.0160738	+	0.337431i	−0.992553	+	0.121817i	$0.961128\pi$
$60$	0.0515354	+	0.396486i	0.00665319	+	0.0511861i
$61$	−0.566176	+	5.92926i	−0.0724914	+	0.759164i	0.884016	+	0.467456i	$0.154830\pi$
$61$	−0.566176	+	5.92926i	−0.0724914	+	0.759164i	−0.956508	+	0.291708i	$0.905777\pi$
$62$	8.86354	−	5.69625i	1.12567	−	0.723425i
$63$	−7.02139	+	3.70137i	−0.884612	+	0.466328i
$64$	4.90788	−	5.66399i	0.613485	−	0.707999i
$65$	−11.4157	−	2.76941i	−1.41594	−	0.343503i
$66$	5.32108	−	3.31869i	0.654979	−	0.408502i
$67$	−0.244715	+	0.192446i	−0.0298967	+	0.0235110i	−0.632996	−	0.774155i	$-0.718175\pi$
$67$	−0.244715	+	0.192446i	−0.0298967	+	0.0235110i	0.603099	+	0.797666i	$0.293932\pi$
$68$	0.362093	−	0.627163i	0.0439102	−	0.0760546i
$69$	−7.61955	−	3.30794i	−0.917286	−	0.398229i
$70$	−6.07876	−	4.89331i	−0.726551	−	0.584863i
$71$	13.6919	−	1.96859i	1.62493	−	0.233629i	0.731174	−	0.682191i	$-0.238973\pi$
$71$	13.6919	−	1.96859i	1.62493	−	0.233629i	0.893752	+	0.448562i	$0.148064\pi$
$72$	−0.222827	+	8.22400i	−0.0262604	+	0.969208i
$73$	−4.61079	+	4.83566i	−0.539652	+	0.565971i	−0.935942	−	0.352154i	$-0.885449\pi$
$73$	−4.61079	+	4.83566i	−0.539652	+	0.565971i	0.396290	+	0.918126i	$0.370298\pi$
$74$	−1.38326	+	7.17704i	−0.160801	+	0.834314i
$75$	0.520596	−	1.44073i	0.0601132	−	0.166361i
$76$	−0.367633	−	0.572048i	−0.0421704	−	0.0656184i
$77$	−1.62610	+	6.38499i	−0.185311	+	0.727637i
$78$	13.4621	+	5.60215i	1.52429	+	0.634319i
$79$	4.87886	−	2.51523i	0.548915	−	0.282985i	−0.161377	−	0.986893i	$-0.551593\pi$
$79$	4.87886	−	2.51523i	0.548915	−	0.282985i	0.710292	+	0.703907i	$0.248563\pi$
$80$	−7.93768	+	3.17777i	−0.887459	+	0.355285i
$81$	−5.51679	−	7.11091i	−0.612976	−	0.790101i
$82$	−0.0699416	−	0.135668i	−0.00772375	−	0.0149820i
$83$	−2.39157	−	2.76001i	−0.262508	−	0.302951i	0.609160	−	0.793048i	$-0.291507\pi$
$83$	−2.39157	−	2.76001i	−0.262508	−	0.302951i	−0.871668	+	0.490097i	$0.836961\pi$
$84$	0.350317	+	0.386229i	0.0382227	+	0.0421410i
$85$	10.8618	−	6.98043i	1.17812	−	0.757134i
$86$	−8.88513	−	9.31846i	−0.958108	−	1.00484i
$87$	−0.679982	−	2.43745i	−0.0729017	−	0.261322i
$88$	4.94263	+	4.71278i	0.526886	+	0.502385i
$89$	0.557428	+	0.782799i	0.0590873	+	0.0829765i	0.843062	−	0.537816i	$-0.180750\pi$
$89$	0.557428	+	0.782799i	0.0590873	+	0.0829765i	−0.783975	+	0.620792i	$0.786811\pi$
$90$	4.26611	−	7.75209i	0.449688	−	0.817142i
$91$	−14.2863	+	5.53165i	−1.49761	+	0.579875i
$92$	−0.0858850	+	0.538900i	−0.00895413	+	0.0561842i
$93$	−12.5285	−	0.766995i	−1.29914	−	0.0795337i
$94$	3.37141	+	4.28710i	0.347734	+	0.442180i
$95$	−1.15241	−	12.0686i	−0.118235	−	1.23822i
$96$	1.08561	−	0.247848i	0.110800	−	0.0252959i
$97$	10.5745	+	9.16286i	1.07368	+	0.930348i	0.997769	−	0.0667671i	$-0.0212684\pi$
$97$	10.5745	+	9.16286i	1.07368	+	0.930348i	0.0759098	+	0.997115i	$0.475814\pi$
$98$	−10.1520	−	0.715374i	−1.02551	−	0.0722637i
$99$	−7.45017	−	0.557475i	−0.748770	−	0.0560283i
$100$	−0.100182	−	0.00956622i	−0.0100182	−	0.000956622i
$101$	−1.24138	+	3.58674i	−0.123522	+	0.356894i	−0.989761	−	0.142737i	$-0.954410\pi$
$101$	−1.24138	+	3.58674i	−0.123522	+	0.356894i	0.866239	+	0.499631i	$0.166531\pi$
$102$	−14.6674	+	6.45976i	−1.45229	+	0.639612i
$103$	−4.20472	+	5.34673i	−0.414303	+	0.526829i	−0.947754	−	0.319002i	$-0.896652\pi$
$103$	−4.20472	+	5.34673i	−0.414303	+	0.526829i	0.533451	+	0.845831i	$0.320895\pi$
$104$	−2.25983	+	15.7175i	−0.221595	+	1.54122i
$105$	2.39609	+	8.98251i	0.233834	+	0.876603i
$106$	−9.97809	−	11.5153i	−0.969158	−	1.11847i
$107$	−0.531499	+	5.56611i	−0.0513819	+	0.538096i	0.932734	+	0.360566i	$0.117417\pi$
$107$	−0.531499	+	5.56611i	−0.0513819	+	0.538096i	−0.984115	+	0.177530i	$0.943189\pi$
$108$	−0.362241	+	0.467291i	−0.0348566	+	0.0449651i
$109$	−0.498668	−	2.05554i	−0.0477637	−	0.196885i	0.942931	−	0.332989i	$-0.108057\pi$
$109$	−0.498668	−	2.05554i	−0.0477637	−	0.196885i	−0.990695	+	0.136104i	$0.956542\pi$
$110$	−2.40237	−	6.94120i	−0.229057	−	0.661817i
$111$	6.38275	−	5.92299i	0.605823	−	0.562185i
$112$	−6.13492	+	9.31151i	−0.579695	+	0.879855i
$113$	5.28887	−	0.760424i	0.497535	−	0.0715347i	0.111021	−	0.993818i	$-0.464588\pi$
$113$	5.28887	−	0.760424i	0.497535	−	0.0715347i	0.386514	+	0.922283i	$0.373679\pi$
$114$	−0.919578	+	15.0208i	−0.0861264	+	1.40683i
$115$	−5.76364	+	7.83826i	−0.537462	+	0.730921i
$116$	−0.143970	+	0.0831210i	−0.0133673	+	0.00771759i
$117$	−8.99224	−	14.8624i	−0.831333	−	1.37403i
$118$	−3.43162	−	1.56717i	−0.315906	−	0.144270i
$119$	6.43571	−	15.5603i	0.589961	−	1.42641i
$120$	9.33274	+	2.39839i	0.851959	+	0.218942i
$121$	3.47265	−	3.31117i	0.315696	−	0.301015i
$122$	−7.69704	−	3.96810i	−0.696857	−	0.359255i
$123$	−0.0283136	+	0.179620i	−0.00255295	+	0.0161958i
$124$	0.156056	+	0.809693i	0.0140142	+	0.0727126i
$125$	−10.0426	−	6.45399i	−0.898238	−	0.577263i
$126$	−1.20185	−	11.4771i	−0.107069	−	1.02246i
$127$	0.0315687	−	0.219565i	0.00280127	−	0.0194833i	−0.988373	−	0.152050i	$-0.951413\pi$
$127$	0.0315687	−	0.219565i	0.00280127	−	0.0194833i	0.991174	+	0.132566i	$0.0423218\pi$
$128$	5.58213	+	10.8278i	0.493395	+	0.957053i
$129$	1.97713	+	15.2110i	0.174076	+	1.33925i
$130$	9.90649	−	13.9117i	0.868857	−	1.22014i
$131$	−0.478010	−	10.0347i	−0.0417640	−	0.876734i	−0.918418	−	0.395612i	$-0.870533\pi$
$131$	−0.478010	−	10.0347i	−0.0417640	−	0.876734i	0.876654	−	0.481122i	$-0.159770\pi$
$132$	0.0863497	+	0.483149i	0.00751578	+	0.0420527i
$133$	−10.2175	−	12.0663i	−0.885971	−	1.04628i
$134$	−0.127520	−	0.434292i	−0.0110160	−	0.0375171i
$135$	−9.55800	+	4.44574i	−0.822622	+	0.382628i
$136$	−10.7890	−	13.7193i	−0.925147	−	1.17642i
$137$	4.22669	−	2.44028i	0.361110	−	0.208487i	−0.308458	−	0.951238i	$-0.599813\pi$
$137$	4.22669	−	2.44028i	0.361110	−	0.208487i	0.669568	+	0.742751i	$0.266479\pi$
$138$	8.58212	−	8.49696i	0.730559	−	0.723310i
$139$			5.07854i			0.430756i	0.976531	+	0.215378i	$0.0690984\pi$
$139$			5.07854i			0.430756i	−0.976531	+	0.215378i	$0.930902\pi$
$140$	0.532353	−	0.299332i	0.0449920	−	0.0252982i
$141$	−0.221233	−	6.49366i	−0.0186312	−	0.546865i
$142$	−4.74138	+	19.5442i	−0.397888	+	1.64011i
$143$	−14.1593	−	2.72898i	−1.18406	−	0.228209i
$144$	−11.6066	−	5.01546i	−0.967215	−	0.417955i
$145$	−2.96055	+	0.141028i	−0.245860	+	0.0117118i
$146$	−4.03543	−	8.83635i	−0.333974	−	0.731302i
$147$	9.25216	+	7.83566i	0.763105	+	0.646275i
$148$	−0.481230	−	0.309268i	−0.0395568	−	0.0254216i
$149$	11.4414	−	14.5489i	0.937316	−	1.19189i	−0.0439101	−	0.999035i	$-0.513982\pi$
$149$	11.4414	−	14.5489i	0.937316	−	1.19189i	0.981226	−	0.192859i	$-0.0617761\pi$
$150$	1.66330	+	1.48117i	0.135808	+	0.120937i
$151$	−0.489127	+	10.2680i	−0.0398046	+	0.835602i	0.887390	+	0.461020i	$0.152517\pi$
$151$	−0.489127	+	10.2680i	−0.0398046	+	0.835602i	−0.927194	+	0.374581i	$0.877787\pi$
$152$	−16.0922	+	3.10152i	−1.30525	+	0.251567i
$153$	18.6435	+	4.11989i	1.50724	+	0.333073i
$154$	−7.73941	−	5.64498i	−0.623660	−	0.454885i
$155$	−4.14191	+	14.1061i	−0.332686	+	1.13303i
$156$	−0.798621	+	0.815172i	−0.0639408	+	0.0652660i
$157$	−13.5892	+	14.2519i	−1.08453	+	1.13743i	−0.0946541	+	0.995510i	$0.530174\pi$
$157$	−13.5892	+	14.2519i	−1.08453	+	1.13743i	−0.989879	+	0.141915i	$0.954674\pi$
$158$	0.758591	+	7.94432i	0.0603503	+	0.632017i
$159$	1.48058	+	18.0917i	0.117418	+	1.43476i
$160$		−	1.30425i		−	0.103110i
$161$	−0.337693	+	12.6841i	−0.0266139	+	0.999646i
$162$	12.5789	−	3.60382i	0.988293	−	0.283143i
$163$	−19.6540	−	7.86828i	−1.53942	−	0.616291i	−0.561914	−	0.827196i	$-0.689935\pi$
$163$	−19.6540	−	7.86828i	−1.53942	−	0.616291i	−0.977507	+	0.210904i	$0.932359\pi$
$164$	0.0118917	−	0.00113552i	0.000928587	−	8.86693e-5i
$165$	−2.57878	+	8.36187i	−0.200758	+	0.650971i
$166$	5.01760	−	1.73661i	0.389441	−	0.134787i
$167$	17.5865	+	5.16387i	1.36089	+	0.399592i	0.879075	−	0.476683i	$-0.158161\pi$
$167$	17.5865	+	5.16387i	1.36089	+	0.399592i	0.481810	+	0.876276i	$0.339979\pi$
$168$	11.7795	−	4.37853i	0.908811	−	0.337811i
$169$	−8.52767	−	18.6730i	−0.655974	−	1.43638i
$170$	3.55257	+	18.4325i	0.272470	+	1.41371i
$171$	11.4601	−	13.7872i	0.876375	−	1.05433i
$172$	0.935503	−	0.374519i	0.0713315	−	0.0285568i
$173$	15.3798	+	12.0948i	1.16931	+	0.919553i	0.997844	−	0.0656370i	$-0.0209079\pi$
$173$	15.3798	+	12.0948i	1.16931	+	0.919553i	0.171464	+	0.985190i	$0.445150\pi$
$174$	3.65736	+	0.399291i	0.277264	+	0.0302702i
$175$	−2.33848	+	0.0847484i	−0.176773	+	0.00640637i
$176$	−9.54733	+	4.36012i	−0.719657	+	0.328656i
$177$	2.19424	+	3.92227i	0.164929	+	0.294816i
$178$	−1.35779	+	0.329395i	−0.101770	+	0.0246892i
$179$	−2.80118	+	14.5339i	−0.209370	+	1.08631i	0.713340	+	0.700819i	$0.247182\pi$
$179$	−2.80118	+	14.5339i	−0.209370	+	1.08631i	−0.922710	+	0.385496i	$0.874030\pi$
$180$	0.439156	+	0.535455i	0.0327328	+	0.0399105i
$181$	−15.5372	−	7.09562i	−1.15487	−	0.527414i	−0.256457	−	0.966556i	$-0.582555\pi$
$181$	−15.5372	−	7.09562i	−1.15487	−	0.527414i	−0.898418	+	0.439142i	$0.855282\pi$
$182$	0.253352	−	22.2718i	0.0187797	−	1.65090i
$183$	4.60267	+	9.23285i	0.340239	+	0.682512i
$184$	11.2882	+	6.74874i	0.832181	+	0.497523i
$185$	−5.09940	−	8.83242i	−0.374915	−	0.649372i
$186$	7.80507	−	16.4957i	0.572295	−	1.20953i
$187$	12.9106	−	9.19362i	0.944119	−	0.672304i
$188$	−0.409556	+	0.120256i	−0.0298699	+	0.00877061i
$189$	−6.92627	+	11.8755i	−0.503812	+	0.863813i
$190$	16.9123	+	4.96589i	1.22694	+	0.360263i
$191$	3.69329	−	0.175933i	0.267237	−	0.0127301i	0.0864642	−	0.996255i	$-0.472443\pi$
$191$	3.69329	−	0.175933i	0.267237	−	0.0127301i	0.180773	+	0.983525i	$0.442140\pi$
$192$	2.02123	−	12.8226i	0.145869	−	0.925391i
$193$	1.87741	−	5.42441i	0.135139	−	0.390458i	−0.857045	−	0.515241i	$-0.827702\pi$
$193$	1.87741	−	5.42441i	0.135139	−	0.390458i	0.992184	+	0.124783i	$0.0398236\pi$
$194$	−18.0815	+	9.32165i	−1.29817	+	0.669256i
$195$	−19.3154	+	6.39351i	−1.38320	+	0.457849i
$196$	0.347276	−	0.716813i	0.0248054	−	0.0512009i
$197$	7.63812	−	11.8852i	0.544194	−	0.846782i	−0.454847	−	0.890570i	$-0.650306\pi$
$197$	7.63812	−	11.8852i	0.544194	−	0.846782i	0.999041	+	0.0437875i	$0.0139424\pi$
$198$	4.77818	−	9.75457i	0.339571	−	0.693227i
$199$	17.2894	+	12.3117i	1.22561	+	0.872756i	0.994959	−	0.100279i	$-0.0319735\pi$
$199$	17.2894	+	12.3117i	1.22561	+	0.872756i	0.230656	+	0.973035i	$0.425913\pi$
$200$	−1.11140	+	2.15582i	−0.0785880	+	0.152440i
$201$	−0.183248	+	0.507132i	−0.0129253	+	0.0357704i
$202$	−4.17038	−	3.61366i	−0.293427	−	0.254256i
$203$	−3.06542	+	2.35474i	−0.215151	+	0.165270i
$204$	−0.0427089	−	1.25360i	−0.00299022	−	0.0877694i
$205$	0.197724	+	0.0791567i	0.0138096	+	0.00552854i
$206$	−4.94467	−	8.56442i	−0.344511	−	0.596711i
$207$	−14.2301	+	2.12257i	−0.989058	+	0.147529i
$208$	−21.1346	−	12.2021i	−1.46542	−	0.846061i
$209$	−2.11798	−	14.7309i	−0.146504	−	1.01896i
$210$	−13.4188	−	1.61965i	−0.925986	−	0.111766i
$211$	11.8503	−	3.47956i	0.815807	−	0.239543i	0.152898	−	0.988242i	$-0.451139\pi$
$211$	11.8503	−	3.47956i	0.815807	−	0.239543i	0.662910	+	0.748699i	$0.269321\pi$
$212$	1.12691	−	0.390029i	0.0773968	−	0.0267873i
$213$	18.3177	−	15.4431i	1.25511	−	1.05814i
$214$	−7.22561	−	3.72506i	−0.493933	−	0.254640i
$215$	17.8845	+	1.70777i	1.21972	+	0.116469i
$216$	7.21062	+	12.2906i	0.490621	+	0.836269i
$217$	6.06450	+	18.1890i	0.411685	+	1.23475i
$218$	3.04390	+	0.437647i	0.206159	+	0.0296412i
$219$	−2.34386	+	11.3329i	−0.158384	+	0.765808i
$220$	0.574209	+	0.0273530i	0.0387132	+	0.00184414i
$221$	34.8253	+	12.0532i	2.34261	+	0.810784i
$222$	4.54555	+	11.8156i	0.305078	+	0.793009i
$223$	−12.4163	−	19.3201i	−0.831457	−	1.29377i	−0.953544	−	0.301253i	$-0.902595\pi$
$223$	−12.4163	−	19.3201i	−0.831457	−	1.29377i	0.122087	−	0.992519i	$-0.461041\pi$
$224$	−0.970836	−	1.39670i	−0.0648667	−	0.0933212i
$225$	−0.555478	−	2.59453i	−0.0370318	−	0.172969i
$226$	−1.83149	+	7.54950i	−0.121829	+	0.502186i
$227$	14.2834	−	1.36390i	0.948020	−	0.0905249i	0.390422	−	0.920636i	$-0.372329\pi$
$227$	14.2834	−	1.36390i	0.948020	−	0.0905249i	0.557598	+	0.830111i	$0.311723\pi$
$228$	−1.06463	−	0.503735i	−0.0705066	−	0.0333607i
$229$	8.42454	+	4.86391i	0.556709	+	0.321416i	0.751824	−	0.659364i	$-0.229174\pi$
$229$	8.42454	+	4.86391i	0.556709	+	0.321416i	−0.195114	+	0.980780i	$0.562508\pi$
$230$	−7.46521	−	12.0149i	−0.492241	−	0.792237i
$231$	3.46268	+	10.8741i	0.227827	+	0.715465i
$232$	0.570193	+	3.96578i	0.0374350	+	0.260366i
$233$	11.0482	−	7.86738i	0.723791	−	0.515409i	−0.157772	−	0.987476i	$-0.550431\pi$
$233$	11.0482	−	7.86738i	0.723791	−	0.515409i	0.881563	+	0.472067i	$0.156492\pi$
$234$	24.9195	−	4.10621i	1.62904	−	0.268431i
$235$	−7.47266	−	1.44024i	−0.487462	−	0.0939507i
$236$	0.213684	−	0.203748i	0.0139097	−	0.0132628i
$237$	4.86474	−	8.16844i	0.315999	−	0.530597i
$238$	17.5248	+	17.0946i	1.13596	+	1.10808i
$239$	−7.78288	+	6.74390i	−0.503432	+	0.436227i	−0.869186	−	0.494485i	$-0.835357\pi$
$239$	−7.78288	+	6.74390i	−0.503432	+	0.436227i	0.365754	+	0.930712i	$0.380811\pi$
$240$	−8.75282	+	11.9458i	−0.564992	+	0.771100i
$241$	2.25229	+	5.62596i	0.145083	+	0.362400i	0.983054	−	0.183314i	$-0.0586826\pi$
$241$	2.25229	+	5.62596i	0.145083	+	0.362400i	−0.837971	+	0.545714i	$0.816258\pi$
$242$	2.59276	+	6.47639i	0.166669	+	0.416318i
$243$	−14.6255	−	5.39383i	−0.938229	−	0.346014i
$244$	0.512201	−	0.443825i	0.0327903	−	0.0284130i
$245$	11.3594	−	8.52215i	0.725724	−	0.544460i
$246$	−0.227142	−	0.135275i	−0.0144820	−	0.00862481i
$247$	25.0437	−	23.8791i	1.59349	−	1.51939i
$248$	19.5142	+	3.76106i	1.23915	+	0.238827i
$249$	−6.04457	−	1.86413i	−0.383059	−	0.118135i
$250$	14.1378	−	10.0675i	0.894153	−	0.636723i
$251$	−2.26362	−	15.7438i	−0.142879	−	0.993742i	−0.927515	−	0.373786i	$-0.878059\pi$
$251$	−2.26362	−	15.7438i	−0.142879	−	0.993742i	0.784636	−	0.619956i	$-0.212850\pi$
$252$	0.868857	+	0.246519i	0.0547328	+	0.0155292i
$253$	−6.60938	+	9.94769i	−0.415528	+	0.625406i
$254$	0.279298	+	0.161253i	0.0175247	+	0.0101179i
$255$	9.56466	−	20.2146i	0.598962	−	1.26589i
$256$	−2.70988	+	0.258762i	−0.169367	+	0.0161726i
$257$	0.0999722	−	0.412091i	0.00623610	−	0.0257055i	−0.968609	−	0.248591i	$-0.920032\pi$
$257$	0.0999722	−	0.412091i	0.00623610	−	0.0257055i	0.974845	+	0.222886i	$0.0715476\pi$
$258$	−21.5992	−	5.55072i	−1.34471	−	0.345572i
$259$	−12.0354	−	5.66269i	−0.747841	−	0.351863i
$260$	0.722634	+	1.12444i	0.0448158	+	0.0697348i
$261$	−3.23349	−	2.95892i	−0.200148	−	0.183152i
$262$	13.8025	+	4.77710i	0.852722	+	0.295130i
$263$	0.668442	+	0.0318418i	0.0412179	+	0.00196345i	0.0681807	−	0.997673i	$-0.478281\pi$
$263$	0.668442	+	0.0318418i	0.0412179	+	0.00196345i	−0.0269628	+	0.999636i	$0.508584\pi$
$264$	11.5836	+	2.39571i	0.712922	+	0.147446i
$265$	21.0445	+	3.02575i	1.29276	+	0.185870i
$266$	21.8075	−	7.27094i	1.33710	−	0.445810i
$267$	1.53673	+	0.639497i	0.0940464	+	0.0391366i
$268$	0.0352638	+	0.00336728i	0.00215408	+	0.000205690i
$269$	19.6791	+	10.1453i	1.19986	+	0.618569i	0.938033	−	0.346546i	$-0.112646\pi$
$269$	19.6791	+	10.1453i	1.19986	+	0.618569i	0.261824	+	0.965116i	$0.415676\pi$
$270$	−0.835886	−	15.3031i	−0.0508704	−	0.931318i
$271$	17.6246	−	6.09993i	1.07062	−	0.370544i	0.265776	−	0.964035i	$-0.414372\pi$
$271$	17.6246	−	6.09993i	1.07062	−	0.370544i	0.804841	+	0.593490i	$0.202251\pi$
$272$	25.7371	−	7.55709i	1.56054	−	0.458216i
$273$	−15.9254	+	21.2243i	−0.963849	+	1.28455i
$274$	1.00983	+	7.02355i	0.0610063	+	0.424308i
$275$	−1.90747	−	1.10128i	−0.115025	−	0.0664096i
$276$	0.367734	+	0.870712i	0.0221350	+	0.0524107i
$277$	11.8809	+	20.5783i	0.713852	+	1.23643i	0.963401	+	0.268066i	$0.0863845\pi$
$277$	11.8809	+	20.5783i	0.713852	+	1.23643i	−0.249548	+	0.968362i	$0.580282\pi$
$278$	−6.85472	−	2.74422i	−0.411119	−	0.164587i
$279$	−19.1154	+	10.3563i	−1.14441	+	0.620018i
$280$	−1.92890	−	14.5923i	−0.115274	−	0.872056i
$281$	−8.62216	−	7.47114i	−0.514355	−	0.445691i	0.358600	−	0.933491i	$-0.383254\pi$
$281$	−8.62216	−	7.47114i	−0.514355	−	0.445691i	−0.872955	+	0.487800i	$0.837800\pi$
$282$	8.88431	+	3.21027i	0.529053	+	0.191169i
$283$	3.13206	−	6.07535i	0.186182	−	0.361142i	−0.777210	−	0.629242i	$-0.783365\pi$
$283$	3.13206	−	6.07535i	0.186182	−	0.361142i	0.963391	+	0.268100i	$0.0863958\pi$
$284$	−1.28212	−	0.912992i	−0.0760797	−	0.0541761i
$285$	−12.7557	−	16.6803i	−0.755583	−	0.988055i
$286$	11.3345	−	17.6368i	0.670221	−	1.04288i
$287$	0.270660	−	0.0624103i	0.0159766	−	0.00368397i
$288$	1.36829	−	1.35932i	0.0806271	−	0.0800987i
$289$	−20.8928	+	10.7710i	−1.22899	+	0.633588i
$290$	1.40940	−	4.07218i	0.0827625	−	0.239127i
$291$	23.9394	+	3.77357i	1.40335	+	0.221211i
$292$	0.759408	−	0.0361751i	0.0444410	−	0.00211699i
$293$	−3.12468	−	0.917488i	−0.182546	−	0.0536002i	0.189182	−	0.981942i	$-0.439416\pi$
$293$	−3.12468	−	0.917488i	−0.182546	−	0.0536002i	−0.371728	+	0.928342i	$0.621235\pi$
$294$	−15.5756	+	8.25398i	−0.908386	+	0.481382i
$295$	5.05079	−	1.48305i	0.294068	−	0.0863463i
$296$	−11.2302	+	7.99699i	−0.652743	+	0.464816i
$297$	−11.4601	+	6.00952i	−0.664981	+	0.348707i
$298$	13.4549	+	23.3045i	0.779420	+	1.35000i
$299$	−27.7550	+	0.898403i	−1.60511	+	0.0519560i
$300$	−0.156000	+	0.0777676i	−0.00900667	+	0.00448991i
$301$	20.4234	−	11.4837i	1.17719	−	0.661911i
$302$	−13.5949	−	6.20859i	−0.782299	−	0.357264i
$303$	1.46321	+	6.40907i	0.0840590	+	0.368191i
$304$	4.76664	−	24.7317i	0.273386	−	1.41846i
$305$	11.7427	−	2.84875i	0.672385	−	0.163119i
$306$	−15.6349	+	22.9377i	−0.893787	+	1.31126i
$307$	−29.1651	+	13.3192i	−1.66454	+	0.760169i	−0.664622	+	0.747180i	$0.731407\pi$
$307$	−29.1651	+	13.3192i	−1.66454	+	0.760169i	−0.999916	+	0.0129887i	$0.995865\pi$
$308$	0.635271	−	0.398127i	0.0361979	−	0.0226854i
$309$	−1.27863	+	11.7118i	−0.0727388	+	0.666262i
$310$	−16.8014	−	13.2128i	−0.954257	−	0.750436i
$311$	−14.1655	+	5.67099i	−0.803249	+	0.321572i	−0.736708	−	0.676211i	$-0.763621\pi$
$311$	−14.1655	+	5.67099i	−0.803249	+	0.321572i	−0.0665413	+	0.997784i	$0.521196\pi$
$312$	11.0854	+	25.1704i	0.627590	+	1.42499i
$313$	0.586717	+	3.04418i	0.0331632	+	0.172067i	0.994734	−	0.102490i	$-0.0326809\pi$
$313$	0.586717	+	3.04418i	0.0331632	+	0.172067i	−0.961571	+	0.274557i	$0.911469\pi$
$314$	−11.8934	−	26.0429i	−0.671184	−	1.46969i
$315$	11.7547	+	11.0048i	0.662304	+	0.620052i
$316$	−0.599280	−	0.175965i	−0.0337121	−	0.00989878i
$317$	−26.5592	+	9.19224i	−1.49172	+	0.516288i	−0.946694	−	0.322134i	$-0.895600\pi$
$317$	−26.5592	+	9.19224i	−1.49172	+	0.516288i	−0.545022	+	0.838422i	$0.683479\pi$
$318$	−25.2192	−	7.77753i	−1.41422	−	0.436142i
$319$	−3.62190	+	0.345849i	−0.202787	+	0.0193638i
$320$	−14.1149	−	5.65077i	−0.789050	−	0.315888i
$321$	4.32077	+	8.66736i	0.241162	+	0.483765i
$322$	−16.9378	−	7.30971i	−0.943905	−	0.407354i
$323$			38.0341i			2.11628i
$324$	−0.104047	+	1.01878i	−0.00578037	+	0.0565988i
$325$	−0.486804	−	5.09804i	−0.0270030	−	0.282788i
$326$	21.2403	−	22.2762i	1.17639	−	1.23376i
$327$	−2.61696	−	2.56383i	−0.144718	−	0.141780i
$328$	0.0811116	−	0.276241i	0.00447864	−	0.0152528i
$329$	−9.07440	+	4.02003i	−0.500288	+	0.221631i
$330$	−9.89291	−	7.99907i	−0.544587	−	0.440334i
$331$	16.5147	−	3.18294i	0.907727	−	0.174950i	0.286042	−	0.958217i	$-0.407660\pi$
$331$	16.5147	−	3.18294i	0.907727	−	0.174950i	0.621686	+	0.783267i	$0.286448\pi$
$332$	−0.0197727	+	0.415080i	−0.00108517	+	0.0227805i
$333$	3.95136	−	14.5551i	0.216533	−	0.797614i
$334$	−16.4728	+	20.9469i	−0.901354	+	1.14617i
$335$	0.531313	+	0.341454i	0.0290287	+	0.0186556i
$336$	−0.481232	+	19.3078i	−0.0262533	+	1.05333i
$337$	10.2136	+	22.3646i	0.556368	+	1.21828i	0.953744	+	0.300620i	$0.0971935\pi$
$337$	10.2136	+	22.3646i	0.556368	+	1.21828i	−0.397376	+	0.917656i	$0.630079\pi$
$338$	29.8117	−	1.42011i	1.62154	−	0.0772436i
$339$	7.07574	−	5.96531i	0.384302	−	0.323991i
$340$	−1.44259	−	0.278037i	−0.0782356	−	0.0150787i
$341$	−4.25476	+	17.5384i	−0.230408	+	0.949756i
$342$	12.4166	+	22.9181i	0.671412	+	1.23927i
$343$	5.82101	−	17.5817i	0.314305	−	0.949322i
$344$		−	24.2860i		−	1.30941i
$345$	−1.28597	+	16.8024i	−0.0692342	+	0.904609i
$346$	−24.6355	+	14.2233i	−1.32441	+	0.764649i
$347$	−20.3353	−	25.8584i	−1.09165	−	1.38815i	−0.914797	−	0.403914i	$-0.867650\pi$
$347$	−20.3353	−	25.8584i	−1.09165	−	1.38815i	−0.176856	−	0.984237i	$-0.556593\pi$
$348$	−0.135396	+	0.254120i	−0.00725797	+	0.0136223i
$349$	0.366688	+	1.24882i	0.0196283	+	0.0668480i	0.968725	−	0.248138i	$-0.0798185\pi$
$349$	0.366688	+	1.24882i	0.0196283	+	0.0668480i	−0.949096	+	0.314986i	$0.898000\pi$
$350$	1.14922	−	3.20214i	0.0614285	−	0.171162i
$351$	−26.8383	−	13.6002i	−1.43252	−	0.725926i
$352$	−0.0761811	−	1.59924i	−0.00406047	−	0.0852397i
$353$	−8.89209	+	12.4872i	−0.473278	+	0.664626i	−0.980347	−	0.197279i	$-0.936789\pi$
$353$	−8.89209	+	12.4872i	−0.473278	+	0.664626i	0.507069	+	0.861905i	$0.330729\pi$
$354$	−6.47972	+	0.842236i	−0.344393	+	0.0447644i
$355$	−12.8588	−	24.9426i	−0.682474	−	1.32381i
$356$	0.0155618	−	0.108235i	0.000824773	−	0.00573642i
$357$	−4.80432	−	28.7670i	−0.254271	−	1.52251i
$358$	−18.1034	−	11.6343i	−0.956793	−	0.614894i
$359$	−6.46494	−	33.5433i	−0.341207	−	1.77035i	−0.595634	−	0.803256i	$-0.703099\pi$
$359$	−6.46494	−	33.5433i	−0.341207	−	1.77035i	0.254428	−	0.967092i	$-0.418113\pi$
$360$	15.9141	−	5.02959i	0.838749	−	0.265083i
$361$	14.8553	+	7.65846i	0.781860	+	0.403077i
$362$	17.9729	−	17.1371i	0.944634	−	0.900707i
$363$	2.06855	−	8.04926i	0.108571	−	0.422476i
$364$	1.61085	+	0.666243i	0.0844312	+	0.0349206i
$365$	12.3298	+	5.63084i	0.645372	+	0.294732i
$366$	−14.9490	+	1.22340i	−0.781399	+	0.0639479i
$367$	6.39680	−	3.69319i	0.333910	−	0.192783i	−0.323666	−	0.946172i	$-0.604915\pi$
$367$	6.39680	−	3.69319i	0.333910	−	0.192783i	0.657576	+	0.753388i	$0.271582\pi$
$368$	−16.0768	+	12.2510i	−0.838061	+	0.638628i
$369$	0.123029	+	0.289930i	0.00640462	+	0.0150932i
$370$	14.6770	−	2.11023i	0.763019	−	0.109706i
$371$	24.7885	−	12.4245i	1.28695	−	0.645048i
$372$	0.971508	+	1.04692i	0.0503704	+	0.0542802i
$373$	−1.58881	−	4.59057i	−0.0822656	−	0.237691i	0.896365	−	0.443317i	$-0.146198\pi$
$373$	−1.58881	−	4.59057i	−0.0822656	−	0.237691i	−0.978631	+	0.205626i	$0.934077\pi$
$374$	5.43269	+	22.3939i	0.280918	+	1.15796i
$375$	−20.6748	−	0.280036i	−1.06764	−	0.0144610i
$376$	−0.977872	+	10.2407i	−0.0504299	+	0.528126i
$377$	−5.53992	−	6.39340i	−0.285320	−	0.329277i
$378$	−12.2862	−	15.7656i	−0.631933	−	0.810897i
$379$	4.44328	−	30.9037i	0.228236	−	1.58742i	−0.477298	−	0.878742i	$-0.658384\pi$
$379$	4.44328	−	30.9037i	0.228236	−	1.58742i	0.705534	−	0.708676i	$-0.250707\pi$
$380$	−0.852747	+	1.08436i	−0.0437450	+	0.0556263i
$381$	−0.154858	−	0.351618i	−0.00793362	−	0.0180139i
$382$	−1.75822	+	5.08005i	−0.0899585	+	0.259918i
$383$	−28.3331	−	2.70548i	−1.44775	−	0.138244i	−0.658625	−	0.752471i	$-0.728862\pi$
$383$	−28.3331	−	2.70548i	−1.44775	−	0.138244i	−0.789129	+	0.614227i	$0.789468\pi$
$384$	18.1285	+	10.7965i	0.925115	+	0.550954i
$385$	13.3197	−	1.11914i	0.678833	−	0.0570367i
$386$	6.30709	+	5.46512i	0.321022	+	0.278167i
$387$	16.8480	+	20.5425i	0.856432	+	1.04423i
$388$	−0.151340	−	1.58490i	−0.00768311	−	0.0804611i
$389$	11.3897	+	14.4831i	0.577479	+	0.734324i	0.983773	−	0.179418i	$-0.0574215\pi$
$389$	11.3897	+	14.4831i	0.577479	+	0.734324i	−0.406294	+	0.913742i	$0.633179\pi$
$390$	1.80756	−	29.5255i	0.0915293	−	1.49508i
$391$	20.3374	−	22.7602i	1.02850	−	1.15103i
$392$	−12.9276	−	14.1908i	−0.652940	−	0.716745i
$393$	−9.90026	−	14.3092i	−0.499402	−	0.721806i
$394$	11.9146	+	16.7317i	0.600248	+	0.842931i
$395$	−8.05918	−	7.68441i	−0.405501	−	0.386645i
$396$	0.569756	+	0.630909i	0.0286313	+	0.0317043i
$397$	10.4743	+	10.9851i	0.525689	+	0.551326i	0.932023	−	0.362398i	$-0.118042\pi$
$397$	10.4743	+	10.9851i	0.525689	+	0.551326i	−0.406335	+	0.913724i	$0.633193\pi$
$398$	−25.9601	+	16.6835i	−1.30126	+	0.836271i
$399$	−26.0760	−	8.36777i	−1.30543	−	0.418913i
$400$	−2.44106	−	2.81713i	−0.122053	−	0.140856i
$401$	8.17435	+	15.8560i	0.408207	+	0.791812i	0.999897	−	0.0143541i	$-0.00456920\pi$
$401$	8.17435	+	15.8560i	0.408207	+	0.791812i	−0.591690	+	0.806166i	$0.701539\pi$
$402$	−0.585479	−	0.521369i	−0.0292010	−	0.0260035i
$403$	−38.9560	+	15.5956i	−1.94054	+	0.776873i
$404$	0.383866	−	0.197897i	0.0190980	−	0.00984573i
$405$	−9.97190	+	15.2945i	−0.495508	+	0.759989i
$406$	−1.52187	−	5.40993i	−0.0755294	−	0.268490i
$407$	−6.76863	−	10.5322i	−0.335509	−	0.522062i
$408$	−28.4310	−	10.2733i	−1.40755	−	0.508605i
$409$	−5.39269	+	27.9800i	−0.266652	+	1.38352i	0.563562	+	0.826074i	$0.309431\pi$
$409$	−5.39269	+	27.9800i	−0.266652	+	1.38352i	−0.830213	+	0.557446i	$0.811781\pi$
$410$	−0.213682	+	0.224103i	−0.0105530	+	0.0110677i
$411$	3.97497	−	7.46050i	0.196071	−	0.368000i
$412$	0.766098	−	0.110148i	0.0377429	−	0.00542661i
$413$	4.30488	−	5.34778i	0.211829	−	0.263147i
$414$	4.82436	−	20.3539i	0.237104	−	1.00034i
$415$	−3.70440	+	6.41621i	−0.181842	+	0.314959i
$416$	2.92620	−	2.30119i	0.143469	−	0.112825i
$417$	4.65498	+	7.46364i	0.227955	+	0.365496i
$418$	21.0274	+	5.10118i	1.02848	+	0.249507i
$419$	6.80918	−	7.85821i	0.332650	−	0.383899i	−0.564642	−	0.825336i	$-0.690986\pi$
$419$	6.80918	−	7.85821i	0.332650	−	0.383899i	0.897292	+	0.441437i	$0.145531\pi$
$420$	0.508001	−	0.927865i	0.0247879	−	0.0452752i
$421$	5.81214	−	3.73523i	0.283266	−	0.182044i	−0.391290	−	0.920267i	$-0.627971\pi$
$421$	5.81214	−	3.73523i	0.283266	−	0.182044i	0.674557	+	0.738223i	$0.264335\pi$
$422$	−1.70686	+	17.8750i	−0.0830885	+	0.870143i
$423$	−6.27720	−	9.34058i	−0.305208	−	0.454154i
$424$	1.36751	−	28.7076i	0.0664123	−	1.39417i
$425$	4.42467	+	3.47960i	0.214628	+	0.168785i
$426$	10.9460	+	33.0690i	0.530338	+	1.60220i
$427$	10.4546	−	11.7915i	0.505932	−	0.570630i
$428$	0.480830	−	0.416641i	0.0232418	−	0.0201391i
$429$	−23.3105	+	8.96774i	−1.12544	+	0.432967i
$430$	−11.9690	+	23.2167i	−0.577199	+	1.11961i
$431$	3.03606	−	0.736540i	0.146242	−	0.0354779i	−0.161970	−	0.986796i	$-0.551785\pi$
$431$	3.03606	−	0.736540i	0.146242	−	0.0354779i	0.308212	+	0.951318i	$0.400270\pi$
$432$	−21.6547	+	3.26764i	−1.04186	+	0.157214i
$433$	−0.427436	−	1.45571i	−0.0205413	−	0.0699571i	0.948585	−	0.316524i	$-0.102516\pi$
$433$	−0.427436	−	1.45571i	−0.0205413	−	0.0699571i	−0.969126	+	0.246567i	$0.920698\pi$
$434$	−27.8275	−	1.64303i	−1.33576	−	0.0788678i
$435$	−4.22168	+	2.92089i	−0.202414	+	0.140046i
$436$	−0.120338	+	0.208432i	−0.00576316	+	0.00998208i
$437$	−10.2451	−	26.7664i	−0.490091	−	1.28041i
$438$	−14.0300	−	9.28742i	−0.670380	−	0.443770i
$439$	−7.22091	+	18.0370i	−0.344635	+	0.860857i	0.650238	+	0.759730i	$0.274669\pi$
$439$	−7.22091	+	18.0370i	−0.344635	+	0.860857i	−0.994874	+	0.101127i	$0.967755\pi$
$440$	5.75540	−	12.6026i	0.274378	−	0.600804i
$441$	20.7795	+	3.03513i	0.989500	+	0.144530i
$442$	−35.0867	+	40.4922i	−1.66890	+	1.92602i
$443$	5.93423	+	6.22364i	0.281944	+	0.295694i	0.849444	−	0.527679i	$-0.176938\pi$
$443$	5.93423	+	6.22364i	0.281944	+	0.295694i	−0.567500	+	0.823373i	$0.692089\pi$
$444$	−0.990709	−	0.0134190i	−0.0470170	−	0.000636838i
$445$	1.13085	−	1.58805i	0.0536072	−	0.0752808i
$446$	32.7864	−	6.31907i	1.55248	−	0.299216i
$447$	3.47927	−	31.8689i	0.164564	−	1.50735i
$448$	−19.3217	+	4.45530i	−0.912863	+	0.210493i
$449$	4.67358	+	0.671959i	0.220560	+	0.0317117i	0.251709	−	0.967803i	$-0.419008\pi$
$449$	4.67358	+	0.671959i	0.220560	+	0.0317117i	−0.0311489	+	0.999515i	$0.509917\pi$
$450$	3.80210	+	0.652218i	0.179233	+	0.0307458i
$451$	0.247067	+	0.0855106i	0.0116339	+	0.00402654i
$452$	−0.495254	−	0.352669i	−0.0232948	−	0.0165882i
$453$	8.69282	+	15.5387i	0.408424	+	0.730071i
$454$	−5.87718	+	20.0158i	−0.275830	+	0.939390i
$455$	20.0840	+	23.7180i	0.941550	+	1.11191i
$456$	−20.8070	+	19.3082i	−0.974376	+	0.904190i
$457$	−4.58413	−	6.43751i	−0.214437	−	0.301134i	0.693321	−	0.720629i	$-0.256147\pi$
$457$	−4.58413	−	6.43751i	−0.214437	−	0.301134i	−0.907758	+	0.419495i	$0.862207\pi$
$458$	−11.1173	+	8.74271i	−0.519476	+	0.408520i
$459$	31.1755	−	11.0338i	1.45515	−	0.515013i
$460$	1.09012	−	0.192919i	0.0508269	−	0.00899489i
$461$	6.71795			0.312886			0.156443	−	0.987687i	$-0.449997\pi$
$461$	6.71795			0.312886			0.156443	+	0.987687i	$0.449997\pi$
$462$	−16.5483	−	1.20218i	−0.769899	−	0.0559303i
$463$	1.10559	−	2.42090i	0.0513810	−	0.112509i	−0.882200	−	0.470874i	$-0.843939\pi$
$463$	1.10559	−	2.42090i	0.0513810	−	0.112509i	0.933581	+	0.358366i	$0.116666\pi$
$464$	−5.98399	−	1.45170i	−0.277800	−	0.0673935i
$465$	6.84244	+	24.5273i	0.317311	+	1.13743i
$466$	4.64898	+	19.1634i	0.215360	+	0.887726i
$467$	0.0221173	+	0.464300i	0.00102347	+	0.0214852i	0.999321	−	0.0368365i	$-0.0117281\pi$
$467$	0.0221173	+	0.464300i	0.00102347	+	0.0214852i	−0.998298	+	0.0583218i	$0.981425\pi$
$468$	−0.426503	+	1.93003i	−0.0197151	+	0.0892155i
$469$	0.823139	−	0.0298312i	0.0380090	−	0.00137748i
$470$	5.98183	−	9.30792i	0.275921	−	0.429342i
$471$	−6.90796	+	33.4010i	−0.318302	+	1.53904i
$472$	−2.64468	−	6.60609i	−0.121731	−	0.304070i
$473$	22.0292	+	1.04938i	1.01291	+	0.0482506i
$474$	8.39660	+	10.9800i	0.385669	+	0.504328i
$475$	4.80784	−	2.19567i	0.220599	−	0.100744i
$476$	−1.75181	+	0.776065i	−0.0802940	+	0.0355709i
$477$	18.7587	+	25.2312i	0.858903	+	1.15526i
$478$	−4.89701	−	14.1490i	−0.223984	−	0.647159i
$479$	2.03889	+	1.94407i	0.0931591	+	0.0888270i	0.735228	−	0.677820i	$-0.237075\pi$
$479$	2.03889	+	1.94407i	0.0931591	+	0.0888270i	−0.642069	+	0.766647i	$0.721924\pi$
$480$	−1.19548	−	1.91679i	−0.0545658	−	0.0874890i
$481$	10.8190	−	27.0246i	0.493305	−	1.23222i
$482$	−8.81063			−0.401313
$483$	11.1299	+	18.9506i	0.506428	+	0.862282i
$484$	−0.545975			−0.0248171
$485$	10.5498	−	26.3522i	0.479043	−	1.19659i
$486$	15.1833	−	16.8261i	0.688727	−	0.763249i
$487$	−16.0268	−	15.2815i	−0.726242	−	0.692470i	0.233813	−	0.972282i	$-0.424880\pi$
$487$	−16.0268	−	15.2815i	−0.726242	−	0.692470i	−0.960055	+	0.279811i	$0.909728\pi$
$488$	−5.34233	−	15.4357i	−0.241836	−	0.698739i
$489$	−36.0964	+	6.45125i	−1.63234	+	0.291736i
$490$	5.36460	+	19.9372i	0.242348	+	0.900671i
$491$	4.90412	−	2.23964i	0.221320	−	0.101073i	−0.301670	−	0.953413i	$-0.597544\pi$
$491$	4.90412	−	2.23964i	0.221320	−	0.101073i	0.522989	+	0.852339i	$0.324817\pi$
$492$	0.0164358	−	0.0125687i	0.000740981	−	0.000566642i
$493$	9.28788	+	0.442436i	0.418305	+	0.0199263i
$494$	18.6981	+	46.7057i	0.841269	+	2.10139i
$495$	3.87458	+	14.6527i	0.174149	+	0.658589i
$496$	−16.5127	+	25.6942i	−0.741441	+	1.15370i
$497$	−32.3365	−	17.1390i	−1.45049	−	0.768789i
$498$	5.78231	−	7.15131i	0.259111	−	0.320458i
$499$	0.255985	+	5.37380i	0.0114595	+	0.240564i	0.997329	+	0.0730464i	$0.0232721\pi$
$499$	0.255985	+	5.37380i	0.0114595	+	0.240564i	−0.985869	+	0.167518i	$0.946425\pi$
$500$	0.320242	+	1.32006i	0.0143217	+	0.0590347i
$501$	30.5791	−	8.53071i	1.36617	−	0.381124i
$502$	22.4733	+	5.45196i	1.00303	+	0.243333i
$503$	−14.9882	+	32.8196i	−0.668292	+	1.46335i	0.206297	+	0.978489i	$0.433859\pi$
$503$	−14.9882	+	32.8196i	−0.668292	+	1.46335i	−0.874589	+	0.484865i	$0.838869\pi$
$504$	13.2984	−	17.2320i	0.592356	−	0.767573i
$505$	7.69984			0.342638
$506$	−9.85540	−	14.2962i	−0.438126	−	0.635545i
$507$	−29.6482	−	19.6262i	−1.31672	−	0.871629i
$508$	−0.0198403	+	0.0156026i	−0.000880273	+	0.000692254i
$509$	2.86133	+	4.01818i	0.126826	+	0.178103i	0.873107	−	0.487529i	$-0.162102\pi$
$509$	2.86133	+	4.01818i	0.126826	+	0.178103i	−0.746281	+	0.665632i	$0.768162\pi$
$510$	22.1162	+	23.8329i	0.979320	+	1.05534i
$511$	17.3952	−	3.14786i	0.769517	−	0.139253i
$512$	−5.74911	+	19.5797i	−0.254077	+	0.865307i
$513$	4.20496	−	30.7665i	0.185654	−	1.35837i
$514$	0.502196	+	0.357612i	0.0221509	+	0.0157736i
$515$	13.0402	+	4.51325i	0.574618	+	0.198877i
$516$	1.03157	−	1.40789i	0.0454124	−	0.0619788i
$517$	−9.24687	−	1.32950i	−0.406677	−	0.0584713i
$518$	14.1465	−	13.1848i	0.621564	−	0.579306i
$519$	33.6890	+	3.67797i	1.47878	+	0.161445i
$520$	31.6315	−	6.09647i	1.38713	−	0.267348i
$521$	1.21115	−	1.70082i	0.0530614	−	0.0745143i	−0.787193	−	0.616707i	$-0.788466\pi$
$521$	1.21115	−	1.70082i	0.0530614	−	0.0745143i	0.840254	+	0.542193i	$0.182406\pi$
$522$	5.74101	−	2.76552i	0.251277	−	0.121043i
$523$	4.99381	+	5.23736i	0.218364	+	0.229014i	0.823800	−	0.566880i	$-0.191850\pi$
$523$	4.99381	+	5.23736i	0.218364	+	0.229014i	−0.605436	+	0.795894i	$0.707001\pi$
$524$	−0.748575	+	0.863901i	−0.0327016	+	0.0377397i
$525$	−3.35905	+	2.26799i	−0.146601	+	0.0989834i
$526$	−0.404174	+	0.885018i	−0.0176228	+	0.0385886i
$527$	17.1418	−	42.8182i	0.746710	−	1.86519i
$528$	−10.0347	+	15.1589i	−0.436704	+	0.659706i
$529$	−8.18154	+	21.4956i	−0.355719	+	0.934593i
$530$	−15.4555	+	26.7697i	−0.671344	+	1.16280i
$531$	6.81989	+	3.75310i	0.295958	+	0.162871i
$532$	−0.106040	+	1.79597i	−0.00459742	+	0.0778651i
$533$	0.171264	+	0.583271i	0.00741826	+	0.0252643i
$534$	−1.69354	+	1.72864i	−0.0732865	+	0.0748054i
$535$	11.0235	−	2.67427i	0.476587	−	0.115619i
$536$	0.391211	−	0.758843i	0.0168977	−	0.0327770i
$537$	9.20500	+	23.9272i	0.397225	+	1.03253i
$538$	−24.3272	+	21.0797i	−1.04882	+	0.908809i
$539$	13.4308	−	11.1131i	0.578503	−	0.478675i
$540$	1.13620	+	0.384399i	0.0488943	+	0.0165419i
$541$	−9.47309	−	7.44972i	−0.407280	−	0.320288i	0.393415	−	0.919361i	$-0.371294\pi$
$541$	−9.47309	−	7.44972i	−0.407280	−	0.320288i	−0.800695	+	0.599073i	$0.795536\pi$
$542$	−1.29021	+	27.0848i	−0.0554191	+	1.16339i
$543$	−29.3380	+	3.81337i	−1.25902	+	0.163647i
$544$	−0.388943	+	4.07320i	−0.0166758	+	0.174637i
$545$	−3.60981	+	2.31988i	−0.154627	+	0.0993729i
$546$	−20.0420	−	32.9638i	−0.857716	−	1.41072i
$547$	−14.1456	+	16.3248i	−0.604820	+	0.698000i	−0.972751	−	0.231853i	$-0.925521\pi$
$547$	−14.1456	+	16.3248i	−0.604820	+	0.698000i	0.367930	+	0.929853i	$0.380066\pi$
$548$	−0.539687	−	0.130927i	−0.0230543	−	0.00559291i
$549$	15.2271	+	9.35020i	0.649876	+	0.399057i
$550$	2.51715	−	1.97951i	0.107332	−	0.0844066i
$551$	4.36551	−	7.56128i	0.185977	−	0.322121i
$552$	22.7756	−	0.428545i	0.969392	−	0.0182401i
$553$	−14.3504	−	2.23017i	−0.610242	−	0.0948364i
$554$	−34.1952	+	4.91653i	−1.45282	+	0.208883i
$555$	−15.5901	−	8.30641i	−0.661761	−	0.352587i
$556$	0.398776	−	0.418224i	0.0169119	−	0.0177366i
$557$	−6.65420	+	34.5253i	−0.281947	+	1.46288i	0.514143	+	0.857704i	$0.328110\pi$
$557$	−6.65420	+	34.5253i	−0.281947	+	1.46288i	−0.796091	+	0.605178i	$0.793102\pi$
$558$	−3.64929	−	31.3970i	−0.154487	−	1.32914i
$559$	27.7235	+	43.1386i	1.17258	+	1.82457i
$560$	21.9218	+	5.58295i	0.926365	+	0.235923i
$561$	10.5472	−	25.3452i	0.445302	−	1.07008i
$562$	14.7431	−	7.60062i	0.621902	−	0.320613i
$563$	2.04480	−	0.818615i	0.0861781	−	0.0345005i	−0.328173	−	0.944618i	$-0.606433\pi$
$563$	2.04480	−	0.818615i	0.0861781	−	0.0345005i	0.414351	+	0.910117i	$0.364009\pi$
$564$	−0.491674	+	0.552132i	−0.0207032	+	0.0232489i
$565$	−4.96707	−	9.63477i	−0.208966	−	0.405338i
$566$	6.50772	+	7.51031i	0.273540	+	0.315682i
$567$	0.705886	+	23.8013i	0.0296444	+	0.999561i
$568$	−31.9120	+	20.5086i	−1.33900	+	0.860522i
$569$	3.89837	+	4.08849i	0.163428	+	0.171399i	0.800356	−	0.599525i	$-0.204644\pi$
$569$	3.89837	+	4.08849i	0.163428	+	0.171399i	−0.636928	+	0.770923i	$0.719795\pi$
$570$	29.4067	−	8.20365i	1.23171	−	0.343613i
$571$	−18.2575	−	17.4085i	−0.764053	−	0.728523i	0.204082	−	0.978954i	$-0.434579\pi$
$571$	−18.2575	−	17.4085i	−0.764053	−	0.728523i	−0.968134	+	0.250431i	$0.919428\pi$
$572$	0.951750	+	1.33655i	0.0397947	+	0.0558838i
$573$	5.26655	−	3.64382i	0.220013	−	0.152223i
$574$	−0.0620148	+	0.399045i	−0.00258845	+	0.0166558i
$575$	−4.05114	−	1.25690i	−0.168944	−	0.0524163i
$576$	−8.78267	−	20.6973i	−0.365945	−	0.862387i
$577$	−2.46670	−	3.13667i	−0.102690	−	0.130581i	0.731992	−	0.681313i	$-0.238591\pi$
$577$	−2.46670	−	3.13667i	−0.102690	−	0.130581i	−0.834682	+	0.550732i	$0.814349\pi$
$578$	−3.24852	−	34.0201i	−0.135121	−	1.41505i
$579$	−2.21288	−	9.69277i	−0.0919643	−	0.402818i
$580$	0.254878	+	0.220853i	0.0105832	+	0.00917044i
$581$	0.808996	+	9.62841i	0.0335628	+	0.399454i
$582$	−18.0291	+	30.2729i	−0.747331	+	1.25485i
$583$	25.9809	+	2.48088i	1.07602	+	0.102747i
$584$	5.99289	−	17.3153i	0.247987	−	0.716513i
$585$	−22.5264	+	27.1006i	−0.931352	+	1.12047i
$586$	2.92681	−	3.72174i	0.120905	−	0.153744i
$587$	−0.395976	+	2.75408i	−0.0163437	+	0.113673i	−0.996360	−	0.0852436i	$-0.972833\pi$
$587$	−0.395976	+	2.75408i	−0.0163437	+	0.113673i	0.980016	+	0.198916i	$0.0637422\pi$
$588$	−0.146656	−	1.37177i	−0.00604801	−	0.0565709i
$589$	−28.3605	−	32.7297i	−1.16857	−	1.34860i
$590$	−0.727491	+	7.61863i	−0.0299503	+	0.313654i
$591$	0.331415	−	24.4680i	0.0136326	−	1.00648i
$592$	−4.99530	−	20.5909i	−0.205306	−	0.846282i
$593$	−6.66685	−	19.2626i	−0.273775	−	0.791020i	−0.995140	−	0.0984660i	$-0.968606\pi$
$593$	−6.66685	−	19.2626i	−0.273775	−	0.791020i	0.721366	−	0.692554i	$-0.243515\pi$
$594$	−1.91879	−	18.7154i	−0.0787289	−	0.767902i
$595$	−34.1009	−	2.01343i	−1.39800	−	0.0825427i
$596$	−2.08462	+	0.299723i	−0.0853893	+	0.0122771i
$597$	36.6942	+	2.24643i	1.50179	+	0.0919401i
$598$	13.7849	−	37.9475i	0.563708	−	1.55179i
$599$	9.64720	−	5.56982i	0.394174	−	0.227577i	−0.289793	−	0.957089i	$-0.593586\pi$
$599$	9.64720	−	5.56982i	0.394174	−	0.227577i	0.683967	+	0.729513i	$0.260253\pi$
$600$	0.342654	+	4.18699i	0.0139888	+	0.170933i
$601$	30.3440	+	13.8576i	1.23776	+	0.565265i	0.923327	−	0.384015i	$-0.125459\pi$
$601$	30.3440	+	13.8576i	1.23776	+	0.565265i	0.314431	+	0.949280i	$0.398186\pi$
$602$	4.46416	+	33.7717i	0.181946	+	1.37643i
$603$	0.195527	+	0.913268i	0.00796246	+	0.0371912i
$604$	0.846544	−	0.807178i	0.0344454	−	0.0328436i
$605$	−8.65203	−	4.46043i	−0.351755	−	0.181342i
$606$	−9.44124	−	1.48822i	−0.383524	−	0.0604550i
$607$	−0.0993955	−	0.515713i	−0.00403434	−	0.0209321i	0.979856	−	0.199707i	$-0.0639989\pi$
$607$	−0.0993955	−	0.515713i	−0.00403434	−	0.0209321i	−0.983890	+	0.178774i	$0.942787\pi$
$608$	3.23214	+	2.07717i	0.131080	+	0.0842403i
$609$	−2.34673	+	6.27039i	−0.0950943	+	0.254089i
$610$	−2.50015	+	17.3889i	−0.101228	+	0.704058i
$611$	−9.95326	−	19.3066i	−0.402666	−	0.781062i
$612$	−1.21181	−	1.80319i	−0.0489846	−	0.0728898i
$613$	11.4149	−	16.0299i	0.461042	−	0.647443i	−0.516967	−	0.856005i	$-0.672939\pi$
$613$	11.4149	−	16.0299i	0.461042	−	0.647443i	0.978009	+	0.208563i	$0.0668785\pi$
$614$	−2.21804	−	46.5624i	−0.0895128	−	1.87911i
$615$	0.363138	−	0.0649011i	0.0146431	−	0.00261706i
$616$	−3.21750	−	17.7800i	−0.129637	−	0.716375i
$617$	−6.46799	−	22.0279i	−0.260391	−	0.886812i	−0.981088	−	0.193561i	$-0.937996\pi$
$617$	−6.46799	−	22.0279i	−0.260391	−	0.886812i	0.720697	−	0.693250i	$-0.243822\pi$
$618$	−15.1170	−	8.05436i	−0.608096	−	0.323994i
$619$	10.2686	+	13.0576i	0.412732	+	0.524831i	0.947323	−	0.320280i	$-0.103777\pi$
$619$	10.2686	+	13.0576i	0.412732	+	0.524831i	−0.534591	+	0.845111i	$0.679534\pi$
$620$	1.44872	−	0.836421i	0.0581821	−	0.0335915i
$621$	−18.9676	+	16.1627i	−0.761142	+	0.648585i
$622$		−	22.1841i		−	0.889499i
$623$	0.0289207	−	2.54237i	0.00115868	−	0.101858i
$624$	−42.2447	+	1.43924i	−1.69114	+	0.0576155i
$625$	−4.66698	+	19.2375i	−0.186679	+	0.769502i
$626$	−4.42589	−	0.853020i	−0.176894	−	0.0340935i
$627$	−16.6150	−	19.7078i	−0.663538	−	0.787054i
$628$	2.23817	−	0.106617i	0.0893125	−	0.00425448i
$629$	13.2916	+	29.1044i	0.529969	+	1.16047i
$630$	−21.2054	+	9.91934i	−0.844844	+	0.395196i
$631$	−25.6500	−	16.4843i	−1.02111	−	0.656229i	−0.0808659	−	0.996725i	$-0.525769\pi$
$631$	−25.6500	−	16.4843i	−1.02111	−	0.656229i	−0.940246	+	0.340496i	$0.889405\pi$
$632$	−9.30506	+	11.8323i	−0.370135	+	0.470665i
$633$	14.2263	−	15.9756i	0.565446	−	0.634975i
$634$	1.94427	−	40.8152i	0.0772167	−	1.62098i
$635$	−0.441876	+	0.0851647i	−0.0175353	+	0.00337966i
$636$	1.29866	−	1.60613i	0.0514953	−	0.0636872i
$637$	39.1623	+	10.4494i	1.55167	+	0.414022i
$638$	1.49030	−	5.07551i	0.0590017	−	0.200941i
$639$	12.7655	−	39.4858i	0.504994	−	1.56203i
$640$	17.0542	−	17.8860i	0.674128	−	0.707005i
$641$	−2.12866	−	22.2924i	−0.0840771	−	0.880495i	−0.934869	−	0.354993i	$-0.884483\pi$
$641$	−2.12866	−	22.2924i	−0.0840771	−	0.880495i	0.850792	−	0.525503i	$-0.176123\pi$
$642$	−14.0334	+	1.14847i	−0.553856	+	0.0453263i
$643$			33.9915i			1.34050i	0.742138	+	0.670248i	$0.233812\pi$
$643$			33.9915i			1.34050i	−0.742138	+	0.670248i	$0.766188\pi$
$644$	1.02378	−	1.01803i	0.0403428	−	0.0401161i
$645$	27.8492	−	13.8831i	1.09656	−	0.546647i
$646$	−51.3363	−	20.5519i	−2.01980	−	0.808605i
$647$	−32.1424	+	3.06922i	−1.26365	+	0.120664i	−0.705279	−	0.708930i	$-0.749178\pi$
$647$	−32.1424	+	3.06922i	−1.26365	+	0.120664i	−0.558368	+	0.829594i	$0.688572\pi$
$648$	21.8626	+	11.4535i	0.858842	+	0.449937i
$649$	6.10651	−	2.11348i	0.239701	−	0.0829614i
$650$	7.14408	+	2.09769i	0.280214	+	0.0822782i
$651$	25.5846	+	21.1727i	1.00274	+	0.829822i
$652$	1.00070	+	2.19123i	0.0391904	+	0.0858151i
$653$	0.269757	+	1.39963i	0.0105564	+	0.0547719i	0.986825	−	0.161792i	$-0.0517273\pi$
$653$	0.269757	+	1.39963i	0.0105564	+	0.0547719i	−0.976269	+	0.216564i	$0.930515\pi$
$654$	4.87459	−	2.14685i	0.190612	−	0.0839483i
$655$	−18.9204	+	7.57458i	−0.739281	+	0.295963i
$656$	0.347805	+	0.273517i	0.0135795	+	0.0106790i
$657$	6.94309	+	18.8037i	0.270876	+	0.733604i
$658$	−0.522604	−	14.4203i	−0.0203732	−	0.562163i
$659$	−5.29854	+	2.41976i	−0.206402	+	0.0942606i	−0.515934	−	0.856628i	$-0.672555\pi$
$659$	−5.29854	+	2.41976i	−0.206402	+	0.0942606i	0.309532	+	0.950889i	$0.399828\pi$
$660$	0.868954	−	0.486120i	0.0338240	−	0.0189222i
$661$	−34.4963	+	8.36871i	−1.34175	+	0.325505i	−0.841445	−	0.540343i	$-0.818294\pi$
$661$	−34.4963	+	8.36871i	−1.34175	+	0.325505i	−0.500306	+	0.865849i	$0.666779\pi$
$662$	−4.62763	+	24.0104i	−0.179858	+	0.933192i
$663$	62.2287	−	14.2070i	2.41676	−	0.551752i
$664$	9.11004	+	4.16042i	0.353538	+	0.161456i
$665$	−16.3529	+	27.5943i	−0.634137	+	1.07006i
$666$	17.5105	+	13.1982i	0.678517	+	0.511421i
$667$	−6.65550	+	2.19048i	−0.257702	+	0.0848159i
$668$	−1.04279	−	1.80617i	−0.0403469	−	0.0698829i
$669$	−35.9563	−	17.0130i	−1.39015	−	0.657759i
$670$	−0.747972	+	0.532629i	−0.0288967	+	0.0205772i
$671$	14.2322	−	4.17894i	0.549426	−	0.161326i
$672$	−2.70700	−	1.16279i	−0.104425	−	0.0448556i
$673$	12.0566	+	3.54015i	0.464749	+	0.136463i	0.505720	−	0.862698i	$-0.331227\pi$
$673$	12.0566	+	3.54015i	0.464749	+	0.136463i	−0.0409709	+	0.999160i	$0.513045\pi$
$674$	−35.7053	+	1.70085i	−1.37532	+	0.0655145i
$675$	−3.19449	−	3.30389i	−0.122956	−	0.127167i
$676$	−0.763971	+	2.20735i	−0.0293835	+	0.0848980i
$677$	−11.7008	+	6.03219i	−0.449699	+	0.231836i	−0.668172	−	0.744007i	$-0.732923\pi$
$677$	−11.7008	+	6.03219i	−0.449699	+	0.231836i	0.218473	+	0.975843i	$0.429893\pi$
$678$	4.22822	+	12.7738i	0.162384	+	0.490575i
$679$	−8.31791	−	36.0730i	−0.319212	−	1.38435i
$680$	−19.1427	+	29.7866i	−0.734089	+	1.14227i
$681$	19.7413	−	15.0965i	0.756488	−	0.578500i
$682$	−21.3732	−	15.2198i	−0.818421	−	0.582795i
$683$	−13.5433	+	26.2703i	−0.518219	+	1.00520i	0.473980	+	0.880536i	$0.342817\pi$
$683$	−13.5433	+	26.2703i	−0.518219	+	1.00520i	−0.992199	+	0.124668i	$0.960213\pi$
$684$	−2.02634	+	0.235524i	−0.0774791	+	0.00900547i
$685$	−7.48275	−	6.48384i	−0.285901	−	0.247735i
$686$	20.5853	+	17.3572i	0.785952	+	0.662701i
$687$	16.8393	−	0.573699i	0.642460	−	0.0218880i
$688$	34.6508	+	13.8721i	1.32105	+	0.528869i
$689$	30.3419	+	52.5537i	1.15593	+	2.00214i
$690$	−21.9840	−	10.8150i	−0.836916	−	0.411719i
$691$	−18.0116	−	10.3990i	−0.685195	−	0.395597i	0.116615	−	0.993177i	$-0.462796\pi$
$691$	−18.0116	−	10.3990i	−0.685195	−	0.395597i	−0.801809	+	0.597580i	$0.796129\pi$
$692$	−0.316841	−	2.20367i	−0.0120445	−	0.0837711i
$693$	15.0561	+	12.8072i	0.571934	+	0.486506i
$694$	45.8904	−	13.4746i	1.74198	−	0.511490i
$695$	9.73611	−	3.36970i	0.369312	−	0.127820i
$696$	4.47300	+	5.30564i	0.169549	+	0.201110i
$697$	−0.593888	−	0.306171i	−0.0224951	−	0.0115970i
$698$	−1.88373	−	0.179874i	−0.0713003	−	0.00680835i
$699$	9.02567	−	21.6890i	0.341382	−	0.820352i
$700$	0.199231	+	0.176642i	0.00753023	+	0.00667645i
$701$	−15.5757	−	2.23944i	−0.588285	−	0.0845827i	−0.158257	−	0.987398i	$-0.550587\pi$
$701$	−15.5757	−	2.23944i	−0.588285	−	0.0845827i	−0.430028	+	0.902815i	$0.641496\pi$
$702$	32.8590	−	28.8758i	1.24018	−	1.08985i
$703$	30.0094	+	1.42952i	1.13183	+	0.0539155i
$704$	−17.6374	−	6.10436i	−0.664734	−	0.230067i
$705$	−12.3023	+	4.73278i	−0.463330	+	0.178247i
$706$	−12.0496	−	18.7495i	−0.453493	−	0.705648i
$707$	8.24563	−	5.73146i	0.310109	−	0.215554i
$708$	0.127285	−	0.495299i	0.00478367	−	0.0186145i
$709$	8.71849	−	35.9381i	0.327430	−	1.34968i	−0.535575	−	0.844488i	$-0.679905\pi$
$709$	8.71849	−	35.9381i	0.327430	−	1.34968i	0.863005	−	0.505196i	$-0.168580\pi$
$710$	40.6144	−	3.87820i	1.52423	−	0.145546i
$711$	−0.337748	−	16.4637i	−0.0126666	−	0.617437i
$712$	−2.28229	−	1.31768i	−0.0855324	−	0.0493821i
$713$	−0.529714	+	34.7507i	−0.0198379	+	1.30142i
$714$	41.4241	+	9.05982i	1.55026	+	0.339055i
$715$	4.16319	+	28.9556i	0.155694	+	1.08288i
$716$	1.37191	−	0.976930i	0.0512705	−	0.0365096i
$717$	−5.25661	+	17.0449i	−0.196312	+	0.636553i
$718$	48.7682	+	9.39929i	1.82001	+	0.350778i
$719$	−4.25884	+	4.06079i	−0.158828	+	0.151442i	−0.765326	−	0.643643i	$-0.777422\pi$
$719$	−4.25884	+	4.06079i	−0.158828	+	0.151442i	0.606498	+	0.795085i	$0.292574\pi$
$720$	−1.91400	+	25.5789i	−0.0713304	+	0.953270i
$721$	17.3240	−	4.87343i	0.645178	−	0.181496i
$722$	−18.3641	+	15.9126i	−0.683441	+	0.592205i
$723$	8.46681	+	6.20370i	0.314884	+	0.230718i
$724$	0.722350	+	1.80434i	0.0268459	+	0.0670579i
$725$	−0.480251	−	1.19961i	−0.0178361	−	0.0445524i
$726$	9.74666	+	7.14147i	0.361733	+	0.265045i
$727$	0.0809458	−	0.0701399i	0.00300211	−	0.00260135i	−0.653358	−	0.757049i	$-0.726641\pi$
$727$	0.0809458	−	0.0701399i	0.00300211	−	0.00260135i	0.656360	+	0.754447i	$0.272095\pi$
$728$	29.3357	−	30.0739i	1.08725	−	1.11461i
$729$	−26.4383	+	5.47874i	−0.979196	+	0.202916i
$730$	−14.2627	+	13.5994i	−0.527885	+	0.503337i
$731$	−55.3443	−	10.6667i	−2.04698	−	0.394524i
$732$	0.345944	−	1.12175i	0.0127865	−	0.0414609i
$733$	−38.6417	+	27.5166i	−1.42726	+	1.01635i	−0.433945	+	0.900940i	$0.642879\pi$
$733$	−38.6417	+	27.5166i	−1.42726	+	1.01635i	−0.993318	+	0.115409i	$0.963182\pi$
$734$	1.52831	+	10.6297i	0.0564111	+	0.392348i
$735$	8.88284	−	22.9365i	0.327649	−	0.846025i
$736$	−0.823467	−	2.97127i	−0.0303534	−	0.109523i
$737$	0.671424	+	0.387647i	0.0247322	+	0.0142792i
$738$	−0.457810	+	0.00939185i	−0.0168522	+	0.000345719i
$739$	−23.9478	+	2.28674i	−0.880935	+	0.0841191i	−0.525712	−	0.850662i	$-0.676201\pi$
$739$	−23.9478	+	2.28674i	−0.880935	+	0.0841191i	−0.355223	+	0.934782i	$0.615595\pi$
$740$	−0.273595	+	1.12777i	−0.0100575	+	0.0414578i
$741$	14.9177	−	58.0487i	0.548017	−	2.13247i
$742$	3.37529	+	40.1717i	0.123911	+	1.47475i
$743$	−13.3289	−	20.7401i	−0.488989	−	0.760882i	0.505820	−	0.862639i	$-0.331190\pi$
$743$	−13.3289	−	20.7401i	−0.488989	−	0.760882i	−0.994809	+	0.101757i	$0.967554\pi$
$744$	32.1263	−	12.3593i	1.17781	−	0.453113i
$745$	−35.4834	−	12.2809i	−1.30001	−	0.449939i
$746$	7.05461	+	0.336052i	0.258288	+	0.0123038i
$747$	−10.5920	+	2.80083i	−0.387541	+	0.102477i
$748$	−1.78511	−	0.256659i	−0.0652699	−	0.00938440i
$749$	9.81424	−	11.0693i	0.358605	−	0.404463i
$750$	11.5497	−	27.7543i	0.421735	−	1.01344i
$751$	−49.2545	−	4.70324i	−1.79732	−	0.171624i	−0.857772	−	0.514031i	$-0.828152\pi$
$751$	−49.2545	−	4.70324i	−1.79732	−	0.171624i	−0.939552	+	0.342407i	$0.888758\pi$
$752$	−14.0527	−	7.24469i	−0.512451	−	0.264187i
$753$	−17.7575	−	21.0630i	−0.647118	−	0.767578i
$754$	11.6230	−	4.02275i	0.423283	−	0.146500i
$755$	20.0095	−	5.87532i	0.728220	−	0.213825i
$756$	1.50287	−	0.434097i	0.0546588	−	0.0157879i
$757$	−2.27677	−	15.8353i	−0.0827507	−	0.575543i	−0.988441	−	0.151604i	$-0.951556\pi$
$757$	−2.27677	−	15.8353i	−0.0827507	−	0.575543i	0.905691	−	0.423939i	$-0.139353\pi$
$758$	39.3111	+	22.6963i	1.42784	+	0.824366i
$759$	−0.595394	+	20.6777i	−0.0216115	+	0.750552i
$760$	16.6234	+	28.7926i	0.602995	+	1.04442i
$761$	25.6911	+	10.2852i	0.931303	+	0.372837i	0.787181	−	0.616722i	$-0.211540\pi$
$761$	25.6911	+	10.2852i	0.931303	+	0.372837i	0.144122	+	0.989560i	$0.453964\pi$
$762$	0.558272	−	0.0190198i	0.0202241	−	0.000689015i
$763$	−2.13885	+	5.17132i	−0.0774317	+	0.187214i
$764$	−0.317961	−	0.275515i	−0.0115034	−	0.00996778i
$765$	−4.47200	−	38.4752i	−0.161686	−	1.39107i
$766$	18.9617	−	36.7805i	0.685112	−	1.32893i
$767$	12.2388	+	8.71521i	0.441918	+	0.314688i
$768$	−3.74537	+	2.86415i	−0.135149	+	0.103351i
$769$	−7.60305	+	11.8306i	−0.274173	+	0.426621i	−0.950847	−	0.309661i	$-0.899784\pi$
$769$	−7.60305	+	11.8306i	−0.274173	+	0.426621i	0.676674	+	0.736283i	$0.263421\pi$
$770$	−5.68679	+	18.5828i	−0.204938	+	0.669679i
$771$	−0.230798	−	0.697261i	−0.00831199	−	0.0251112i
$772$	−0.580541	+	0.299289i	−0.0208941	+	0.0107717i
$773$	−12.2429	+	35.3736i	−0.440347	+	1.27230i	0.478640	+	0.878011i	$0.341130\pi$
$773$	−12.2429	+	35.3736i	−0.440347	+	1.27230i	−0.918987	+	0.394288i	$0.870991\pi$
$774$	−36.8309	+	11.6402i	−1.32386	+	0.418399i
$775$	−6.40217	+	0.304973i	−0.229973	+	0.0109550i
$776$	−36.8167	−	10.8104i	−1.32164	−	0.388070i
$777$	−22.8781	+	2.70945i	−0.820747	+	0.0972009i
$778$	−25.7030	+	7.54707i	−0.921496	+	0.270576i
$779$	−0.511059	+	0.363923i	−0.0183106	+	0.0130389i
$780$	2.09267	+	0.990161i	0.0749297	+	0.0354534i
$781$	−17.2240	−	29.8328i	−0.616322	−	1.06750i
$782$	19.7310	+	39.7488i	0.705578	+	1.42141i
$783$	−7.46421	−	1.38474i	−0.266749	−	0.0494865i
$784$	27.6314	−	10.3390i	0.986836	−	0.369252i
$785$	36.3391	+	16.5955i	1.29700	+	0.592319i
$786$	24.6634	−	5.63072i	0.879716	−	0.200841i
$787$	−3.58730	+	18.6127i	−0.127873	+	0.663470i	0.860258	+	0.509859i	$0.170302\pi$
$787$	−3.58730	+	18.6127i	−0.127873	+	0.663470i	−0.988131	+	0.153611i	$0.950910\pi$
$788$	−1.56225	+	0.378998i	−0.0556529	+	0.0135012i
$789$	1.01156	−	0.565896i	0.0360124	−	0.0201464i
$790$	14.7268	−	6.72550i	0.523956	−	0.239282i
$791$	−12.4909	−	6.62042i	−0.444125	−	0.235395i
$792$	19.2197	−	7.09667i	0.682942	−	0.252169i
$793$	27.1099	+	21.3195i	0.962700	+	0.757076i
$794$	−20.4869	+	8.20171i	−0.727052	+	0.291068i
$795$	33.7013	−	14.8426i	1.19526	−	0.526412i
$796$	−0.457066	−	2.37148i	−0.0162003	−	0.0840549i
$797$	−7.26418	−	15.9063i	−0.257311	−	0.563432i	0.736253	−	0.676706i	$-0.236593\pi$
$797$	−7.26418	−	15.9063i	−0.257311	−	0.563432i	−0.993564	+	0.113275i	$0.963866\pi$
$798$	25.3846	−	30.6743i	0.898607	−	1.08586i
$799$	22.9077	+	6.72631i	0.810416	+	0.237960i
$800$	0.537341	−	0.185976i	0.0189979	−	0.00657523i
$801$	2.84461	−	0.468732i	0.100509	−	0.0165618i
$802$	−25.8186	+	2.46538i	−0.911686	+	0.0870554i
$803$	15.4474	+	6.18419i	0.545125	+	0.218235i
$804$	0.0549116	−	0.0273740i	0.00193658	−	0.000965406i
$805$	24.5408	−	7.76872i	0.864950	−	0.273811i
$806$		−	61.0077i		−	2.14890i
$807$	38.2204	−	3.12787i	1.34542	−	0.110106i
$808$	−0.989392	−	10.3614i	−0.0348067	−	0.364512i
$809$	15.3085	−	16.0551i	0.538218	−	0.564467i	−0.397326	−	0.917678i	$-0.630062\pi$
$809$	15.3085	−	16.0551i	0.538218	−	0.564467i	0.935544	+	0.353211i	$0.114910\pi$
$810$	−15.2552	−	21.7239i	−0.536015	−	0.763301i
$811$	−4.20076	+	14.3065i	−0.147509	+	0.502368i	−0.999785	−	0.0207230i	$-0.993403\pi$
$811$	−4.20076	+	14.3065i	−0.147509	+	0.502368i	0.852277	+	0.523091i	$0.175221\pi$
$812$	0.437339	+	0.0467866i	0.0153476	+	0.00164189i
$813$	20.3107	−	25.1194i	0.712326	−	0.880974i
$814$	17.8732	−	3.44478i	0.626456	−	0.120739i
$815$	−2.04356	+	42.8996i	−0.0715828	+	1.50271i
$816$	30.8975	−	34.6968i	1.08163	−	1.21463i
$817$	−32.7152	+	41.6007i	−1.14456	+	1.45543i
$818$	−34.8517	−	22.3979i	−1.21856	−	0.783123i
$819$	−3.95052	+	45.7893i	−0.138042	+	1.60001i
$820$	−0.0100673	−	0.0220443i	−0.000351564	−	0.000769819i
$821$	15.8011	−	0.752698i	0.551461	−	0.0262693i	0.229998	−	0.973191i	$-0.426128\pi$
$821$	15.8011	−	0.752698i	0.551461	−	0.0262693i	0.321464	+	0.946922i	$0.395825\pi$
$822$	7.92186	+	9.39650i	0.276307	+	0.327740i
$823$	−28.8049	−	5.55168i	−1.00407	−	0.193520i	−0.339392	−	0.940645i	$-0.610221\pi$
$823$	−28.8049	−	5.55168i	−1.00407	−	0.193520i	−0.664683	+	0.747126i	$0.731433\pi$
$824$	4.39771	−	18.1276i	0.153201	−	0.631505i
$825$	−3.81273	+	0.129896i	−0.132742	+	0.00452240i
$826$	4.89195	+	8.70018i	0.170213	+	0.302718i
$827$			8.20002i			0.285142i	0.989785	+	0.142571i	$0.0455370\pi$
$827$			8.20002i			0.285142i	−0.989785	+	0.142571i	$0.954463\pi$
$828$	1.33853	+	0.942572i	0.0465171	+	0.0327566i
$829$	45.5541	−	26.3007i	1.58216	−	0.913461i	0.587617	−	0.809139i	$-0.300066\pi$
$829$	45.5541	−	26.3007i	1.58216	−	0.913461i	0.994544	−	0.104321i	$-0.0332670\pi$
$830$	−6.65853	−	8.46701i	−0.231121	−	0.293894i
$831$	36.3226	+	19.3527i	1.26002	+	0.671339i
$832$	−12.2260	−	41.6381i	−0.423862	−	1.44354i
$833$	−38.0168	+	23.2273i	−1.31721	+	0.804777i
$834$	−12.5893	+	2.25000i	−0.435933	+	0.0779111i
$835$	−1.76927	−	37.1416i	−0.0612281	−	1.28534i
$836$	−0.982276	+	1.37941i	−0.0339727	+	0.0477080i
$837$	−18.6002	+	32.7413i	−0.642917	+	1.13170i
$838$	6.92718	+	13.4369i	0.239295	+	0.464169i
$839$	4.75482	−	33.0705i	0.164155	−	1.14172i	−0.726542	−	0.687122i	$-0.758874\pi$
$839$	4.75482	−	33.0705i	0.164155	−	1.14172i	0.890697	−	0.454598i	$-0.150217\pi$
$840$	−16.2100	−	19.6774i	−0.559300	−	0.678935i
$841$	22.6007	+	14.5246i	0.779334	+	0.500847i
$842$	1.90098	+	9.86324i	0.0655122	+	0.339910i
$843$	−19.5195	−	3.07687i	−0.672288	−	0.105973i
$844$	−1.24911	−	0.643959i	−0.0429960	−	0.0221660i
$845$	−30.1399	+	28.7383i	−1.03684	+	0.988628i
$846$	15.9993	−	3.42537i	0.550067	−	0.117767i
$847$	−12.5855	+	1.66363i	−0.432442	+	0.0571631i
$848$	40.1784	+	18.3489i	1.37973	+	0.630103i
$849$	−0.965638	−	11.7994i	−0.0331406	−	0.404955i
$850$	−7.08745	+	4.09194i	−0.243097	+	0.140352i
$851$	−17.1937	−	16.9019i	−0.589392	−	0.579389i
$852$	−2.72110	−	0.166586i	−0.0932234	−	0.00570716i
$853$	46.9385	−	6.74874i	1.60714	−	0.231072i	0.720476	−	0.693480i	$-0.243923\pi$
$853$	46.9385	−	6.74874i	1.60714	−	0.231072i	0.886667	+	0.462408i	$0.153014\pi$
$854$	10.2663	+	20.4825i	0.351305	+	0.700898i
$855$	−34.0354	−	12.8222i	−1.16399	−	0.438510i
$856$	−5.01513	−	14.4903i	−0.171414	−	0.495267i
$857$	−5.36958	−	22.1337i	−0.183421	−	0.756074i	−0.986979	−	0.160847i	$-0.948577\pi$
$857$	−5.36958	−	22.1337i	−0.183421	−	0.756074i	0.803558	−	0.595227i	$-0.202938\pi$
$858$	0.491798	−	36.3089i	0.0167897	−	1.23957i
$859$	4.20897	−	44.0783i	0.143608	−	1.50393i	−0.580509	−	0.814254i	$-0.697146\pi$
$859$	4.20897	−	44.0783i	0.143608	−	1.50393i	0.724117	−	0.689678i	$-0.242248\pi$
$860$	−1.33872	−	1.54496i	−0.0456498	−	0.0526827i
$861$	0.340569	−	0.339807i	0.0116066	−	0.0115806i
$862$	−0.646411	+	4.49589i	−0.0220169	+	0.153131i
$863$	−9.91528	+	12.6083i	−0.337520	+	0.429191i	−0.924953	−	0.380081i	$-0.875896\pi$
$863$	−9.91528	+	12.6083i	−0.337520	+	0.429191i	0.587433	+	0.809273i	$0.300138\pi$
$864$	0.764946	−	3.25188i	0.0260240	−	0.110631i
$865$	12.9823	−	37.5099i	0.441412	−	1.27538i
$866$	2.19580	+	0.209674i	0.0746165	+	0.00712501i
$867$	−20.8323	+	34.9798i	−0.707503	+	1.18798i
$868$	0.928814	−	1.97408i	0.0315260	−	0.0670047i
$869$	−10.3308	−	8.95166i	−0.350447	−	0.303664i
$870$	−1.66124	−	7.27650i	−0.0563214	−	0.246696i
$871$	0.171354	+	1.79450i	0.00580609	+	0.0608042i
$872$	3.58562	+	4.55949i	0.121425	+	0.154404i
$873$	38.6412	−	16.3970i	1.30781	−	0.554954i
$874$	41.6638	+	0.635093i	1.40930	+	0.0214823i
$875$	11.4043	+	29.4533i	0.385537	+	0.995703i
$876$	1.08290	−	0.749236i	0.0365878	−	0.0253143i
$877$	−28.1683	−	39.5569i	−0.951177	−	1.33574i	−0.941939	−	0.335784i	$-0.890999\pi$
$877$	−28.1683	−	39.5569i	−0.951177	−	1.33574i	−0.00923814	−	0.999957i	$-0.502941\pi$
$878$	−20.4434	−	19.4927i	−0.689931	−	0.657847i
$879$	−5.43312	+	1.51569i	−0.183255	+	0.0511230i
$880$	14.6936	+	15.4102i	0.495323	+	0.519479i
$881$	−44.4758	+	28.5828i	−1.49843	+	0.962980i	−0.503327	+	0.864096i	$0.667891\pi$
$881$	−44.4758	+	28.5828i	−1.49843	+	0.962980i	−0.995099	+	0.0988841i	$0.968473\pi$
$882$	−15.3249	+	26.4069i	−0.516018	+	0.889167i
$883$	15.0419	+	17.3592i	0.506199	+	0.584185i	0.950121	−	0.311881i	$-0.100959\pi$
$883$	15.0419	+	17.3592i	0.506199	+	0.584185i	−0.443922	+	0.896065i	$0.646413\pi$
$884$	−1.92147	−	3.72714i	−0.0646261	−	0.125357i
$885$	6.06350	−	6.80909i	0.203822	−	0.228885i
$886$	−11.6069	+	4.64670i	−0.389941	+	0.156109i
$887$	7.36430	−	3.79656i	0.247269	−	0.127476i	−0.330137	−	0.943933i	$-0.607095\pi$
$887$	7.36430	−	3.79656i	0.247269	−	0.127476i	0.577406	+	0.816457i	$0.304065\pi$
$888$	−9.17437	+	22.0463i	−0.307872	+	0.739825i
$889$	−0.409805	+	0.420117i	−0.0137444	+	0.0140903i
$890$	1.53240	+	2.38446i	0.0513662	+	0.0799273i
$891$	−11.3339	+	19.3361i	−0.379700	+	0.647784i
$892$	−0.494553	+	2.56599i	−0.0165589	+	0.0859156i
$893$	15.4701	−	16.2246i	0.517689	−	0.542936i
$894$	41.1347	+	21.9166i	1.37575	+	0.733002i
$895$	29.7217	−	4.27333i	0.993486	−	0.142842i
$896$	4.94948	−	31.8483i	0.165350	−	1.06398i
$897$	−39.9664	+	26.7605i	−1.33444	+	0.893506i
$898$	−3.43236	+	5.94503i	−0.114539	+	0.198388i
$899$	−8.32246	+	6.54485i	−0.277569	+	0.218283i
$900$	−0.157983	+	0.257280i	−0.00526609	+	0.00857599i
$901$	−64.8200	−	15.7252i	−2.15947	−	0.523881i
$902$	−0.248921	+	0.287270i	−0.00828816	+	0.00956505i
$903$	19.4892	−	35.5971i	0.648560	−	1.18460i
$904$	−12.3269	+	7.92202i	−0.409987	+	0.263483i
$905$	−3.29384	+	34.4946i	−0.109491	+	1.14664i
$906$	−25.6704	+	3.33665i	−0.852843	+	0.110853i
$907$	1.82340	−	38.2779i	0.0605451	−	1.27100i	−0.740362	−	0.672209i	$-0.765346\pi$
$907$	1.82340	−	38.2779i	0.0605451	−	1.27100i	0.800907	−	0.598789i	$-0.204351\pi$
$908$	−1.28335	−	1.00924i	−0.0425894	−	0.0334926i
$909$	8.02493	+	8.07787i	0.266170	+	0.267926i
$910$	−42.8656	+	14.2920i	−1.42098	+	0.473776i
$911$	35.3104	−	30.5966i	1.16988	−	1.01371i	0.170286	−	0.985395i	$-0.445531\pi$
$911$	35.3104	−	30.5966i	1.16988	−	1.01371i	0.999599	−	0.0283163i	$-0.00901455\pi$
$912$	−15.6637	−	40.7158i	−0.518678	−	1.34824i
$913$	−4.16745	+	8.08373i	−0.137923	+	0.267533i
$914$	11.1660	−	2.70885i	0.369340	−	0.0896008i
$915$	14.6464	−	14.9500i	0.484196	−	0.494231i
$916$	−0.311848	−	1.06206i	−0.0103038	−	0.0350914i
$917$	−14.6233	+	22.1951i	−0.482904	+	0.732946i
$918$	−1.95308	+	48.0411i	−0.0644613	+	1.58559i
$919$	−18.5672	+	32.1593i	−0.612475	+	1.06084i	0.378347	+	0.925664i	$0.376493\pi$
$919$	−18.5672	+	32.1593i	−0.612475	+	1.06084i	−0.990822	+	0.135174i	$0.956841\pi$
$920$	5.44810	−	26.1187i	0.179619	−	0.861108i
$921$	−30.6538	+	46.3071i	−1.01008	+	1.52587i
$922$	−3.63008	+	9.06750i	−0.119550	+	0.298622i
$923$	33.2730	−	72.8578i	1.09519	−	2.39814i
$924$	0.568700	−	1.16739i	0.0187089	−	0.0384044i
$925$	2.91175	−	3.36033i	0.0957376	−	0.110487i
$926$	2.67018	+	2.80040i	0.0877474	+	0.0920269i
$927$	8.85589	+	18.3842i	0.290866	+	0.603816i
$928$	0.544839	−	0.765120i	0.0178852	−	0.0251163i
$929$	10.0668	−	1.94022i	0.330281	−	0.0636565i	−0.0214151	−	0.999771i	$-0.506817\pi$
$929$	10.0668	−	1.94022i	0.330281	−	0.0636565i	0.351696	+	0.936114i	$0.385605\pi$
$930$	−36.8029	−	4.01794i	−1.20682	−	0.131753i
$931$	3.02810	+	41.7227i	0.0992420	+	1.36741i
$932$	−1.52759	−	0.219634i	−0.0500379	−	0.00719436i
$933$	−15.6201	+	21.3183i	−0.511380	+	0.697931i
$934$	−0.638636	−	0.221034i	−0.0208968	−	0.00723246i
$935$	−26.1916	−	18.6510i	−0.856557	−	0.609951i
$936$	39.3628	+	26.8306i	1.28661	+	0.876987i
$937$	−8.40564	+	28.6270i	−0.274600	+	0.935203i	0.700540	+	0.713613i	$0.252943\pi$
$937$	−8.40564	+	28.6270i	−0.274600	+	0.935203i	−0.975140	+	0.221589i	$0.928876\pi$
$938$	−0.404523	+	1.12714i	−0.0132081	+	0.0368026i
$939$	3.65255	+	3.93607i	0.119196	+	0.128449i
$940$	0.502292	+	0.705371i	0.0163830	+	0.0230067i
$941$	14.9575	−	11.7627i	0.487601	−	0.383454i	−0.343874	−	0.939016i	$-0.611739\pi$
$941$	14.9575	−	11.7627i	0.487601	−	0.383454i	0.831475	+	0.555562i	$0.187497\pi$
$942$	−41.3500	−	27.3723i	−1.34725	−	0.891839i
$943$	0.500420	+	0.0554931i	0.0162959	+	0.00180710i
$944$	10.9361			0.355940
$945$	27.3623	+	5.39882i	0.890094	+	0.175624i
$946$	−13.3200	+	29.1668i	−0.433071	+	0.948293i
$947$	5.43808	+	1.31926i	0.176714	+	0.0428703i	0.323139	−	0.946351i	$-0.395262\pi$
$947$	5.43808	+	1.31926i	0.176714	+	0.0428703i	−0.146426	+	0.989222i	$0.546777\pi$
$948$	−1.04202	+	0.290694i	−0.0338431	+	0.00944129i
$949$	9.12114	+	37.5979i	0.296085	+	1.22048i
$950$	0.365643	+	7.67579i	0.0118630	+	0.249035i
$951$	−30.6070	+	37.8534i	−0.992500	+	1.22748i
$952$	1.67241	+	46.1471i	0.0542030	+	1.49564i
$953$	8.58949	−	13.3655i	0.278241	−	0.432951i	−0.673804	−	0.738910i	$-0.735341\pi$
$953$	8.58949	−	13.3655i	0.278241	−	0.432951i	0.952045	+	0.305959i	$0.0989770\pi$
$954$	−44.1920	+	11.6856i	−1.43077	+	0.378336i
$955$	−2.78784	−	6.96370i	−0.0902125	−	0.225340i
$956$	1.17047	+	0.0557564i	0.0378557	+	0.00180329i
$957$	−5.00589	+	3.82810i	−0.161818	+	0.123745i
$958$	−3.72572	+	1.70148i	−0.120373	+	0.0549723i
$959$	−12.8395	−	1.37357i	−0.414608	−	0.0443548i
$960$	−25.9234	+	4.63310i	−0.836675	+	0.149533i
$961$	7.03750	+	20.3335i	0.227016	+	0.655920i
$962$	30.6301	+	29.2058i	0.987554	+	0.941631i
$963$	14.2945	+	8.77752i	0.460633	+	0.282852i
$964$	0.256281	−	0.640158i	0.00825425	−	0.0206181i
$965$	−11.6449			−0.374862
$966$	−31.5925	+	4.78245i	−1.01647	+	0.153873i
$967$	48.2598			1.55193			0.775965	−	0.630777i	$-0.217264\pi$
$967$	48.2598			1.55193			0.775965	+	0.630777i	$0.217264\pi$
$968$	−4.89049	+	12.2159i	−0.157186	+	0.392632i
$969$	34.8620	+	55.8966i	1.11993	+	1.79566i
$970$	29.8680	+	28.4791i	0.959003	+	0.914408i
$971$	11.0200	+	31.8402i	0.353648	+	1.02180i	0.971813	+	0.235751i	$0.0757551\pi$
$971$	11.0200	+	31.8402i	0.353648	+	1.02180i	−0.618165	+	0.786048i	$0.712124\pi$
$972$	0.780899	+	1.59261i	0.0250473	+	0.0510830i
$973$	7.91796	−	10.8557i	0.253838	−	0.348019i
$974$	29.2862	−	13.3746i	0.938390	−	0.428549i
$975$	−5.38828	−	7.04609i	−0.172563	−	0.225656i
$976$	25.0749	+	1.19446i	0.802626	+	0.0382338i
$977$	10.2205	+	25.5295i	0.326981	+	0.816760i	0.997213	+	0.0746078i	$0.0237705\pi$
$977$	10.2205	+	25.5295i	0.326981	+	0.816760i	−0.670232	+	0.742152i	$0.733805\pi$
$978$	10.7974	−	52.2068i	0.345261	−	1.66939i
$979$	1.29385	−	2.01327i	0.0413517	−	0.0643445i
$980$	−1.60463	−	0.190148i	−0.0512580	−	0.00607407i
$981$	−6.19599	−	1.36921i	−0.197823	−	0.0437155i
$982$	0.372965	+	7.82949i	0.0119018	+	0.249849i
$983$	10.1927	+	42.0149i	0.325097	+	1.34007i	0.866447	+	0.499269i	$0.166398\pi$
$983$	10.1927	+	42.0149i	0.325097	+	1.34007i	−0.541350	+	0.840797i	$0.682087\pi$
$984$	−0.133996	−	0.480322i	−0.00427165	−	0.0153121i
$985$	−27.8531	−	6.75710i	−0.887475	−	0.215299i
$986$	−5.61593	+	12.2972i	−0.178848	+	0.391622i
$987$	−9.65137	+	14.2256i	−0.307207	+	0.452805i
$988$	−3.93740			−0.125265
$989$	41.8217	−	7.40123i	1.32985	−	0.235345i
$990$	−21.8710	−	2.68797i	−0.695105	−	0.0854291i
$991$	12.9300	−	10.1683i	0.410735	−	0.323006i	−0.391321	−	0.920254i	$-0.627982\pi$
$991$	12.9300	−	10.1683i	0.410735	−	0.323006i	0.802056	+	0.597249i	$0.203739\pi$
$992$	−2.70252	−	3.79515i	−0.0858050	−	0.120496i
$993$	21.3532	−	19.8151i	0.677622	−	0.628812i
$994$	40.6064	−	34.3848i	1.28796	−	1.09062i
$995$	12.1311	−	41.3147i	0.384582	−	1.30977i
$996$	0.351402	+	0.628143i	0.0111346	+	0.0199035i
$997$	−34.1082	−	24.2883i	−1.08022	−	0.769220i	−0.105896	−	0.994377i	$-0.533771\pi$
$997$	−34.1082	−	24.2883i	−1.08022	−	0.769220i	−0.974322	+	0.225158i	$0.927710\pi$
$998$	−7.39156	−	2.55824i	−0.233976	−	0.0809798i
$999$	−7.53406	−	25.0126i	−0.238367	−	0.791363i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.18	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.43	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.18	yes	1200
21.17	even	6	inner	483.2.bb.a.164.43	yes	1200
23.8	even	11	inner	483.2.bb.a.215.43	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.18	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.43	yes	1200
483.353	even	66	inner	483.2.bb.a.353.18	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.18	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.43	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.18	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.43	yes	1200	21.17	even	6	inner
483.2.bb.a.215.18	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.43	yes	1200	23.8	even	11	inner
483.2.bb.a.353.18	yes	1200	483.353	even	66	inner
483.2.bb.a.353.43	yes	1200	161.31	odd	66	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.540355 + 1.34974i) q^{2} +(1.46964 - 0.916597i) q^{3} +(-0.0823512 - 0.0785217i) q^{4} +(-0.663517 - 1.91711i) q^{5} +(0.443041 + 2.47893i) q^{6} +(-2.13757 - 1.55910i) q^{7} +(-2.49452 + 1.13921i) q^{8} +(1.31970 - 2.69414i) q^{9} +O(q^{10})\)	\(q+(-0.540355 + 1.34974i) q^{2} +(1.46964 - 0.916597i) q^{3} +(-0.0823512 - 0.0785217i) q^{4} +(-0.663517 - 1.91711i) q^{5} +(0.443041 + 2.47893i) q^{6} +(-2.13757 - 1.55910i) q^{7} +(-2.49452 + 1.13921i) q^{8} +(1.31970 - 2.69414i) q^{9} +(2.94614 + 0.140342i) q^{10} +(-0.925563 - 2.31194i) q^{11} +(-0.193000 - 0.0399160i) q^{12} +(3.13050 - 4.87115i) q^{13} +(3.25943 - 2.04270i) q^{14} +(-2.73235 - 2.20929i) q^{15} +(-0.200540 - 4.20985i) q^{16} +(1.50047 + 6.18502i) q^{17} +(2.92329 + 3.23705i) q^{18} +(5.80760 + 1.40891i) q^{19} +(-0.0958931 + 0.209977i) q^{20} +(-4.57053 - 0.332032i) q^{21} +3.62066 q^{22} +(-2.72199 - 3.94851i) q^{23} +(-2.62186 + 3.96070i) q^{24} +(0.695219 - 0.546726i) q^{25} +(4.88321 + 6.85751i) q^{26} +(-0.529955 - 5.16906i) q^{27} +(0.0536081 + 0.296239i) q^{28} +(0.411611 - 1.40182i) q^{29} +(4.45840 - 2.49417i) q^{30} +(-5.90312 - 4.20359i) q^{31} +(0.607547 + 0.210274i) q^{32} +(-3.47937 - 2.54936i) q^{33} +(-9.15896 - 1.31686i) q^{34} +(-1.57065 + 5.13244i) q^{35} +(-0.320227 + 0.118241i) q^{36} +(4.93645 - 0.951423i) q^{37} +(-5.03983 + 7.07745i) q^{38} +(0.135831 - 10.0282i) q^{39} +(3.83915 + 4.02638i) q^{40} +(-0.0687501 + 0.0793419i) q^{41} +(2.91787 - 5.98962i) q^{42} +(-3.67889 + 8.05564i) q^{43} +(-0.105317 + 0.263068i) q^{44} +(-6.04060 - 0.742396i) q^{45} +(6.80032 - 1.54038i) q^{46} +(1.87565 - 3.24871i) q^{47} +(-4.15346 - 6.00316i) q^{48} +(2.13841 + 6.66537i) q^{49} +(0.362274 + 1.23379i) q^{50} +(7.87432 + 7.71444i) q^{51} +(-0.640291 + 0.155333i) q^{52} +(-4.80229 + 9.31514i) q^{53} +(7.26326 + 2.07782i) q^{54} +(-3.81812 + 3.30842i) q^{55} +(7.10835 + 1.45407i) q^{56} +(9.82650 - 3.25264i) q^{57} +(1.66968 + 1.31305i) q^{58} +(-0.123465 + 2.59186i) q^{59} +(0.0515354 + 0.396486i) q^{60} +(-0.566176 + 5.92926i) q^{61} +(8.86354 - 5.69625i) q^{62} +(-7.02139 + 3.70137i) q^{63} +(4.90788 - 5.66399i) q^{64} +(-11.4157 - 2.76941i) q^{65} +(5.32108 - 3.31869i) q^{66} +(-0.244715 + 0.192446i) q^{67} +(0.362093 - 0.627163i) q^{68} +(-7.61955 - 3.30794i) q^{69} +(-6.07876 - 4.89331i) q^{70} +(13.6919 - 1.96859i) q^{71} +(-0.222827 + 8.22400i) q^{72} +(-4.61079 + 4.83566i) q^{73} +(-1.38326 + 7.17704i) q^{74} +(0.520596 - 1.44073i) q^{75} +(-0.367633 - 0.572048i) q^{76} +(-1.62610 + 6.38499i) q^{77} +(13.4621 + 5.60215i) q^{78} +(4.87886 - 2.51523i) q^{79} +(-7.93768 + 3.17777i) q^{80} +(-5.51679 - 7.11091i) q^{81} +(-0.0699416 - 0.135668i) q^{82} +(-2.39157 - 2.76001i) q^{83} +(0.350317 + 0.386229i) q^{84} +(10.8618 - 6.98043i) q^{85} +(-8.88513 - 9.31846i) q^{86} +(-0.679982 - 2.43745i) q^{87} +(4.94263 + 4.71278i) q^{88} +(0.557428 + 0.782799i) q^{89} +(4.26611 - 7.75209i) q^{90} +(-14.2863 + 5.53165i) q^{91} +(-0.0858850 + 0.538900i) q^{92} +(-12.5285 - 0.766995i) q^{93} +(3.37141 + 4.28710i) q^{94} +(-1.15241 - 12.0686i) q^{95} +(1.08561 - 0.247848i) q^{96} +(10.5745 + 9.16286i) q^{97} +(-10.1520 - 0.715374i) q^{98} +(-7.45017 - 0.557475i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Introduction

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