LMFDB - Embedded newform 966.2.q.c.547.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			547.1
Root			$0.654861 + 0.755750i$ of defining polynomial
Character	$\chi$	$=$	966.547
Dual form			966.2.q.c.883.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.425839 - 2.96177i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(0.415415 + 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.425839 - 2.96177i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(0.415415 + 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(1.24302 - 2.72183i) q^{10} +(-2.13843 + 0.627899i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(1.68886 - 3.69808i) q^{13} +(0.142315 + 0.989821i) q^{14} +(1.95949 + 2.26138i) q^{15} +(0.415415 + 0.909632i) q^{16} +(4.55242 - 2.92566i) q^{17} +(0.142315 - 0.989821i) q^{18} +(1.98601 + 1.27633i) q^{19} +(1.95949 - 2.26138i) q^{20} +(-0.959493 - 0.281733i) q^{21} -2.22871 q^{22} +(-1.96755 - 4.37364i) q^{23} -1.00000 q^{24} +(-3.79329 - 1.11381i) q^{25} +(2.66232 - 3.07248i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-0.142315 + 0.989821i) q^{28} +(1.81329 - 1.16533i) q^{29} +(1.24302 + 2.72183i) q^{30} +(3.94808 + 4.55633i) q^{31} +(0.142315 + 0.989821i) q^{32} +(0.925839 - 2.02730i) q^{33} +(5.19227 - 1.52459i) q^{34} +(2.87102 - 0.843008i) q^{35} +(0.415415 - 0.909632i) q^{36} +(-0.0969057 - 0.673994i) q^{37} +(1.54598 + 1.78415i) q^{38} +(1.68886 + 3.69808i) q^{39} +(2.51722 - 1.61772i) q^{40} +(1.11107 - 7.72768i) q^{41} +(-0.841254 - 0.540641i) q^{42} +(5.40190 - 6.23412i) q^{43} +(-2.13843 - 0.627899i) q^{44} -2.99223 q^{45} +(-0.655652 - 4.75080i) q^{46} -2.58075 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(-3.32584 - 2.13739i) q^{50} +(-0.770133 + 5.35640i) q^{51} +(3.42009 - 2.19796i) q^{52} +(-1.17471 - 2.57225i) q^{53} +(0.654861 + 0.755750i) q^{54} +(0.949069 + 6.60092i) q^{55} +(-0.415415 + 0.909632i) q^{56} +(-2.26514 + 0.665106i) q^{57} +(2.06815 - 0.607265i) q^{58} +(-5.27339 + 11.5471i) q^{59} +(0.425839 + 2.96177i) q^{60} +(2.15044 + 2.48173i) q^{61} +(2.50449 + 5.48407i) q^{62} +(0.841254 - 0.540641i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-10.2337 - 6.57680i) q^{65} +(1.45949 - 1.68434i) q^{66} +(-4.95103 - 1.45375i) q^{67} +5.41148 q^{68} +(4.59385 + 1.37715i) q^{69} +2.99223 q^{70} +(0.544869 + 0.159988i) q^{71} +(0.654861 - 0.755750i) q^{72} +(7.51302 + 4.82833i) q^{73} +(0.0969057 - 0.673994i) q^{74} +(3.32584 - 2.13739i) q^{75} +(0.980699 + 2.14743i) q^{76} +(-1.45949 - 1.68434i) q^{77} +(0.578577 + 4.02409i) q^{78} +(-1.52706 + 3.34380i) q^{79} +(2.87102 - 0.843008i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(3.24320 - 7.10163i) q^{82} +(0.921487 + 6.40908i) q^{83} +(-0.654861 - 0.755750i) q^{84} +(-6.72655 - 14.7291i) q^{85} +(6.93944 - 4.45971i) q^{86} +(-0.306755 + 2.13353i) q^{87} +(-1.87491 - 1.20493i) q^{88} +(9.64090 - 11.1262i) q^{89} +(-2.87102 - 0.843008i) q^{90} +4.06547 q^{91} +(0.709362 - 4.74308i) q^{92} -6.02889 q^{93} +(-2.47621 - 0.727082i) q^{94} +(4.62591 - 5.33859i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(-2.05961 + 14.3249i) q^{97} +(-0.841254 + 0.540641i) q^{98} +(0.925839 + 2.02730i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + q^{2} - q^{3} - q^{4} + q^{6} - q^{7} + q^{8} - q^{9}+O(q^{10}) $ 10 * q + q^2 - q^3 - q^4 + q^6 - q^7 + q^8 - q^9	$ 10 q + q^{2} - q^{3} - q^{4} + q^{6} - q^{7} + q^{8} - q^{9} - 6 q^{11} - q^{12} - 2 q^{13} + q^{14} + 11 q^{15} - q^{16} - 5 q^{17} + q^{18} + 31 q^{19} + 11 q^{20} - q^{21} + 6 q^{22} - q^{23} - 10 q^{24} - 17 q^{25} + 24 q^{26} - q^{27} - q^{28} - 5 q^{29} + 3 q^{31} + q^{32} + 5 q^{33} + 16 q^{34} - q^{36} + 14 q^{37} - 9 q^{38} - 2 q^{39} + 11 q^{40} - 28 q^{41} + q^{42} + 9 q^{43} - 6 q^{44} + 23 q^{46} - 44 q^{47} - q^{48} - q^{49} - 5 q^{50} - 5 q^{51} + 20 q^{52} + q^{53} + q^{54} + q^{56} - 2 q^{57} + 16 q^{58} - 11 q^{59} - 41 q^{61} + 30 q^{62} - q^{63} - q^{64} + 11 q^{65} + 6 q^{66} - 12 q^{67} + 6 q^{68} + 21 q^{69} - 22 q^{71} + q^{72} + 19 q^{73} - 14 q^{74} + 5 q^{75} - 24 q^{76} - 6 q^{77} + 2 q^{78} + 3 q^{79} - q^{81} + 6 q^{82} - 39 q^{83} - q^{84} + 22 q^{85} + 35 q^{86} + 6 q^{87} - 5 q^{88} - 17 q^{89} - 2 q^{91} - q^{92} - 8 q^{93} + 11 q^{94} + q^{96} - 12 q^{97} + q^{98} + 5 q^{99}+O(q^{100}) $ 10 * q + q^2 - q^3 - q^4 + q^6 - q^7 + q^8 - q^9 - 6 * q^11 - q^12 - 2 * q^13 + q^14 + 11 * q^15 - q^16 - 5 * q^17 + q^18 + 31 * q^19 + 11 * q^20 - q^21 + 6 * q^22 - q^23 - 10 * q^24 - 17 * q^25 + 24 * q^26 - q^27 - q^28 - 5 * q^29 + 3 * q^31 + q^32 + 5 * q^33 + 16 * q^34 - q^36 + 14 * q^37 - 9 * q^38 - 2 * q^39 + 11 * q^40 - 28 * q^41 + q^42 + 9 * q^43 - 6 * q^44 + 23 * q^46 - 44 * q^47 - q^48 - q^49 - 5 * q^50 - 5 * q^51 + 20 * q^52 + q^53 + q^54 + q^56 - 2 * q^57 + 16 * q^58 - 11 * q^59 - 41 * q^61 + 30 * q^62 - q^63 - q^64 + 11 * q^65 + 6 * q^66 - 12 * q^67 + 6 * q^68 + 21 * q^69 - 22 * q^71 + q^72 + 19 * q^73 - 14 * q^74 + 5 * q^75 - 24 * q^76 - 6 * q^77 + 2 * q^78 + 3 * q^79 - q^81 + 6 * q^82 - 39 * q^83 - q^84 + 22 * q^85 + 35 * q^86 + 6 * q^87 - 5 * q^88 - 17 * q^89 - 2 * q^91 - q^92 - 8 * q^93 + 11 * q^94 + q^96 - 12 * q^97 + q^98 + 5 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.425839	−	2.96177i	0.190441	−	1.32454i	−0.640403	−	0.768039i	$-0.721233\pi$
$5$	0.425839	−	2.96177i	0.190441	−	1.32454i	0.830844	−	0.556506i	$-0.187858\pi$
$6$	−0.841254	+	0.540641i	−0.343440	+	0.220716i
$7$	0.415415	+	0.909632i	0.157012	+	0.343809i
$7$	0.415415	+	0.909632i	0.157012	+	0.343809i
$8$	0.654861	+	0.755750i	0.231528	+	0.267198i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	1.24302	−	2.72183i	0.393076	−	0.860717i
$11$	−2.13843	+	0.627899i	−0.644761	+	0.189319i	−0.587734	−	0.809054i	$-0.699980\pi$
$11$	−2.13843	+	0.627899i	−0.644761	+	0.189319i	−0.0570262	+	0.998373i	$0.518162\pi$
$12$	−0.959493	+	0.281733i	−0.276982	+	0.0813292i
$13$	1.68886	−	3.69808i	0.468405	−	1.02566i	−0.517086	−	0.855934i	$-0.672983\pi$
$13$	1.68886	−	3.69808i	0.468405	−	1.02566i	0.985491	−	0.169730i	$-0.0542896\pi$
$14$	0.142315	+	0.989821i	0.0380352	+	0.264541i
$15$	1.95949	+	2.26138i	0.505939	+	0.583885i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	4.55242	−	2.92566i	1.10412	−	0.709578i	0.144120	−	0.989560i	$-0.453965\pi$
$17$	4.55242	−	2.92566i	1.10412	−	0.709578i	0.960005	+	0.279982i	$0.0903286\pi$
$18$	0.142315	−	0.989821i	0.0335439	−	0.233303i
$19$	1.98601	+	1.27633i	0.455621	+	0.292810i	0.748251	−	0.663416i	$-0.230894\pi$
$19$	1.98601	+	1.27633i	0.455621	+	0.292810i	−0.292630	+	0.956226i	$0.594530\pi$
$20$	1.95949	−	2.26138i	0.438156	−	0.505659i
$21$	−0.959493	−	0.281733i	−0.209379	−	0.0614791i
$22$	−2.22871			−0.475162
$23$	−1.96755	−	4.37364i	−0.410262	−	0.911968i
$23$	−1.96755	−	4.37364i	−0.410262	−	0.911968i
$24$	−1.00000			−0.204124
$25$	−3.79329	−	1.11381i	−0.758658	−	0.222762i
$26$	2.66232	−	3.07248i	0.522123	−	0.602563i
$27$	0.841254	+	0.540641i	0.161899	+	0.104046i
$28$	−0.142315	+	0.989821i	−0.0268950	+	0.187059i
$29$	1.81329	−	1.16533i	0.336720	−	0.216397i	−0.361343	−	0.932433i	$-0.617682\pi$
$29$	1.81329	−	1.16533i	0.336720	−	0.216397i	0.698063	+	0.716036i	$0.254045\pi$
$30$	1.24302	+	2.72183i	0.226943	+	0.496935i
$31$	3.94808	+	4.55633i	0.709096	+	0.818341i	0.989951	−	0.141410i	$-0.0451634\pi$
$31$	3.94808	+	4.55633i	0.709096	+	0.818341i	−0.280855	+	0.959750i	$0.590618\pi$
$32$	0.142315	+	0.989821i	0.0251579	+	0.174977i
$33$	0.925839	−	2.02730i	0.161168	−	0.352908i
$34$	5.19227	−	1.52459i	0.890468	−	0.261465i
$35$	2.87102	−	0.843008i	0.485291	−	0.142494i
$36$	0.415415	−	0.909632i	0.0692358	−	0.151605i
$37$	−0.0969057	−	0.673994i	−0.0159312	−	0.110804i	0.980304	−	0.197494i	$-0.0632802\pi$
$37$	−0.0969057	−	0.673994i	−0.0159312	−	0.110804i	−0.996235	+	0.0866898i	$0.972371\pi$
$38$	1.54598	+	1.78415i	0.250790	+	0.289427i
$39$	1.68886	+	3.69808i	0.270434	+	0.592167i
$40$	2.51722	−	1.61772i	0.398008	−	0.255784i
$41$	1.11107	−	7.72768i	0.173520	−	1.20686i	−0.697854	−	0.716241i	$-0.745861\pi$
$41$	1.11107	−	7.72768i	0.173520	−	1.20686i	0.871374	−	0.490620i	$-0.163230\pi$
$42$	−0.841254	−	0.540641i	−0.129808	−	0.0834227i
$43$	5.40190	−	6.23412i	0.823782	−	0.950695i	−0.175648	−	0.984453i	$-0.556202\pi$
$43$	5.40190	−	6.23412i	0.823782	−	0.950695i	0.999430	+	0.0337583i	$0.0107477\pi$
$44$	−2.13843	−	0.627899i	−0.322380	−	0.0946594i
$45$	−2.99223			−0.446055
$46$	−0.655652	−	4.75080i	−0.0966706	−	0.700468i
$47$	−2.58075			−0.376441			−0.188221	−	0.982127i	$-0.560272\pi$
$47$	−2.58075			−0.376441			−0.188221	+	0.982127i	$0.560272\pi$
$48$	−0.959493	−	0.281733i	−0.138491	−	0.0406646i
$49$	−0.654861	+	0.755750i	−0.0935515	+	0.107964i
$50$	−3.32584	−	2.13739i	−0.470345	−	0.302272i
$51$	−0.770133	+	5.35640i	−0.107840	+	0.750045i
$52$	3.42009	−	2.19796i	0.474281	−	0.304802i
$53$	−1.17471	−	2.57225i	−0.161359	−	0.353326i	0.811633	−	0.584168i	$-0.198579\pi$
$53$	−1.17471	−	2.57225i	−0.161359	−	0.353326i	−0.972991	+	0.230842i	$0.925852\pi$
$54$	0.654861	+	0.755750i	0.0891153	+	0.102844i
$55$	0.949069	+	6.60092i	0.127973	+	0.890068i
$56$	−0.415415	+	0.909632i	−0.0555122	+	0.121555i
$57$	−2.26514	+	0.665106i	−0.300025	+	0.0880954i
$58$	2.06815	−	0.607265i	0.271562	−	0.0797378i
$59$	−5.27339	+	11.5471i	−0.686537	+	1.50331i	0.169029	+	0.985611i	$0.445937\pi$
$59$	−5.27339	+	11.5471i	−0.686537	+	1.50331i	−0.855565	+	0.517695i	$0.826790\pi$
$60$	0.425839	+	2.96177i	0.0549755	+	0.382363i
$61$	2.15044	+	2.48173i	0.275335	+	0.317754i	0.876529	−	0.481350i	$-0.159853\pi$
$61$	2.15044	+	2.48173i	0.275335	+	0.317754i	−0.601194	+	0.799103i	$0.705308\pi$
$62$	2.50449	+	5.48407i	0.318071	+	0.696477i
$63$	0.841254	−	0.540641i	0.105988	−	0.0681143i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−10.2337	−	6.57680i	−1.26933	−	0.815751i
$66$	1.45949	−	1.68434i	0.179651	−	0.207328i
$67$	−4.95103	−	1.45375i	−0.604865	−	0.177604i	−0.0350612	−	0.999385i	$-0.511163\pi$
$67$	−4.95103	−	1.45375i	−0.604865	−	0.177604i	−0.569804	+	0.821781i	$0.692981\pi$
$68$	5.41148			0.656238
$69$	4.59385	+	1.37715i	0.553034	+	0.165790i
$70$	2.99223			0.357640
$71$	0.544869	+	0.159988i	0.0646641	+	0.0189871i	0.313905	−	0.949455i	$-0.398363\pi$
$71$	0.544869	+	0.159988i	0.0646641	+	0.0189871i	−0.249241	+	0.968442i	$0.580181\pi$
$72$	0.654861	−	0.755750i	0.0771761	−	0.0890659i
$73$	7.51302	+	4.82833i	0.879333	+	0.565113i	0.900594	−	0.434661i	$-0.143132\pi$
$73$	7.51302	+	4.82833i	0.879333	+	0.565113i	−0.0212613	+	0.999774i	$0.506768\pi$
$74$	0.0969057	−	0.673994i	0.0112651	−	0.0783502i
$75$	3.32584	−	2.13739i	0.384035	−	0.246804i
$76$	0.980699	+	2.14743i	0.112494	+	0.246327i
$77$	−1.45949	−	1.68434i	−0.166325	−	0.191949i
$78$	0.578577	+	4.02409i	0.0655109	+	0.455639i
$79$	−1.52706	+	3.34380i	−0.171808	+	0.376207i	−0.975874	−	0.218332i	$-0.929938\pi$
$79$	−1.52706	+	3.34380i	−0.171808	+	0.376207i	0.804066	+	0.594539i	$0.202666\pi$
$80$	2.87102	−	0.843008i	0.320990	−	0.0942512i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	3.24320	−	7.10163i	0.358152	−	0.784243i
$83$	0.921487	+	6.40908i	0.101146	+	0.703488i	0.975788	+	0.218718i	$0.0701876\pi$
$83$	0.921487	+	6.40908i	0.101146	+	0.703488i	−0.874642	+	0.484770i	$0.838903\pi$
$84$	−0.654861	−	0.755750i	−0.0714512	−	0.0824590i
$85$	−6.72655	−	14.7291i	−0.729597	−	1.59760i
$86$	6.93944	−	4.45971i	0.748299	−	0.480902i
$87$	−0.306755	+	2.13353i	−0.0328875	+	0.228738i
$88$	−1.87491	−	1.20493i	−0.199866	−	0.128446i
$89$	9.64090	−	11.1262i	1.02193	−	1.17937i	0.0382864	−	0.999267i	$-0.487810\pi$
$89$	9.64090	−	11.1262i	1.02193	−	1.17937i	0.983647	−	0.180107i	$-0.0576445\pi$
$90$	−2.87102	−	0.843008i	−0.302632	−	0.0888609i
$91$	4.06547			0.426177
$92$	0.709362	−	4.74308i	0.0739561	−	0.494500i
$93$	−6.02889			−0.625166
$94$	−2.47621	−	0.727082i	−0.255402	−	0.0749928i
$95$	4.62591	−	5.33859i	0.474608	−	0.547727i
$96$	−0.841254	−	0.540641i	−0.0858601	−	0.0551789i
$97$	−2.05961	+	14.3249i	−0.209122	+	1.45447i	0.566910	+	0.823780i	$0.308139\pi$
$97$	−2.05961	+	14.3249i	−0.209122	+	1.45447i	−0.776032	+	0.630694i	$0.782770\pi$
$98$	−0.841254	+	0.540641i	−0.0849794	+	0.0546130i
$99$	0.925839	+	2.02730i	0.0930503	+	0.203752i
$100$	−2.58895	−	2.98780i	−0.258895	−	0.298780i
$101$	2.07603	+	14.4391i	0.206573	+	1.43675i	0.784231	+	0.620468i	$0.213057\pi$
$101$	2.07603	+	14.4391i	0.206573	+	1.43675i	−0.577658	+	0.816279i	$0.696033\pi$
$102$	−2.24801	+	4.92245i	−0.222586	+	0.487395i
$103$	2.52221	−	0.740588i	0.248521	−	0.0729723i	−0.155100	−	0.987899i	$-0.549570\pi$
$103$	2.52221	−	0.740588i	0.248521	−	0.0729723i	0.403620	+	0.914927i	$0.367752\pi$
$104$	3.90079	−	1.14538i	0.382504	−	0.112313i
$105$	−1.24302	+	2.72183i	−0.121306	+	0.265623i
$106$	−0.402437	−	2.79901i	−0.0390881	−	0.271864i
$107$	−1.03486	−	1.19429i	−0.100043	−	0.115456i	0.703520	−	0.710676i	$-0.251611\pi$
$107$	−1.03486	−	1.19429i	−0.100043	−	0.115456i	−0.803563	+	0.595219i	$0.797065\pi$
$108$	0.415415	+	0.909632i	0.0399733	+	0.0875294i
$109$	−9.90626	+	6.36637i	−0.948848	+	0.609787i	−0.920890	−	0.389822i	$-0.872537\pi$
$109$	−9.90626	+	6.36637i	−0.948848	+	0.609787i	−0.0279572	+	0.999609i	$0.508900\pi$
$110$	−0.949069	+	6.60092i	−0.0904902	+	0.629373i
$111$	0.572830	+	0.368136i	0.0543706	+	0.0349419i
$112$	−0.654861	+	0.755750i	−0.0618785	+	0.0714116i
$113$	5.32815	+	1.56449i	0.501230	+	0.147174i	0.522567	−	0.852598i	$-0.324974\pi$
$113$	5.32815	+	1.56449i	0.501230	+	0.147174i	−0.0213375	+	0.999772i	$0.506792\pi$
$114$	−2.36077			−0.221106
$115$	−13.7916	+	3.96497i	−1.28607	+	0.369735i
$116$	2.15546			0.200130
$117$	−3.90079	−	1.14538i	−0.360628	−	0.105890i
$118$	−8.31298	+	9.59369i	−0.765272	+	0.883171i
$119$	4.55242	+	2.92566i	0.417320	+	0.268195i
$120$	−0.425839	+	2.96177i	−0.0388736	+	0.270372i
$121$	−5.07517	+	3.26161i	−0.461379	+	0.296510i
$122$	1.36414	+	2.98705i	0.123504	+	0.270435i
$123$	5.11259	+	5.90024i	0.460987	+	0.532007i
$124$	0.858000	+	5.96752i	0.0770507	+	0.535899i
$125$	1.30090	−	2.84858i	0.116356	−	0.254785i
$126$	0.959493	−	0.281733i	0.0854784	−	0.0250987i
$127$	−9.17372	+	2.69365i	−0.814036	+	0.239023i	−0.662146	−	0.749375i	$-0.730354\pi$
$127$	−9.17372	+	2.69365i	−0.814036	+	0.239023i	−0.151890	+	0.988397i	$0.548536\pi$
$128$	−0.415415	+	0.909632i	−0.0367178	+	0.0804009i
$129$	1.17394	+	8.16496i	0.103360	+	0.718885i
$130$	−7.96626	−	9.19356i	−0.698687	−	0.806328i
$131$	−8.82836	−	19.3314i	−0.771337	−	1.68899i	−0.723687	−	0.690128i	$-0.757554\pi$
$131$	−8.82836	−	19.3314i	−0.771337	−	1.68899i	−0.0476502	−	0.998864i	$-0.515173\pi$
$132$	1.87491	−	1.20493i	0.163190	−	0.104876i
$133$	−0.335973	+	2.33674i	−0.0291325	+	0.202621i
$134$	−4.34091	−	2.78973i	−0.374998	−	0.240996i
$135$	1.95949	−	2.26138i	0.168646	−	0.194628i
$136$	5.19227	+	1.52459i	0.445234	+	0.130732i
$137$	4.39208			0.375241			0.187620	−	0.982242i	$-0.439922\pi$
$137$	4.39208			0.375241			0.187620	+	0.982242i	$0.439922\pi$
$138$	4.01978	+	2.61561i	0.342186	+	0.222655i
$139$	−13.4382			−1.13981			−0.569905	−	0.821711i	$-0.693020\pi$
$139$	−13.4382			−1.13981			−0.569905	+	0.821711i	$0.693020\pi$
$140$	2.87102	+	0.843008i	0.242646	+	0.0712472i
$141$	1.69003	−	1.95040i	0.142326	−	0.164254i
$142$	0.477724	+	0.307015i	0.0400897	+	0.0257641i
$143$	−1.28948	+	8.96852i	−0.107832	+	0.749985i
$144$	0.841254	−	0.540641i	0.0701045	−	0.0450534i
$145$	−2.67928	−	5.86680i	−0.222502	−	0.487211i
$146$	5.84840	+	6.74941i	0.484017	+	0.558585i
$147$	−0.142315	−	0.989821i	−0.0117379	−	0.0816391i
$148$	0.282866	−	0.619391i	0.0232515	−	0.0509136i
$149$	−7.16946	+	2.10514i	−0.587345	+	0.172460i	−0.561884	−	0.827216i	$-0.689923\pi$
$149$	−7.16946	+	2.10514i	−0.587345	+	0.172460i	−0.0254606	+	0.999676i	$0.508105\pi$
$150$	3.79329	−	1.11381i	0.309721	−	0.0909422i
$151$	−7.64144	+	16.7324i	−0.621852	+	1.36167i	0.292313	+	0.956323i	$0.405575\pi$
$151$	−7.64144	+	16.7324i	−0.621852	+	1.36167i	−0.914165	+	0.405343i	$0.867152\pi$
$152$	0.335973	+	2.33674i	0.0272510	+	0.189535i
$153$	−3.54376	−	4.08972i	−0.286496	−	0.330634i
$154$	−0.925839	−	2.02730i	−0.0746062	−	0.163365i
$155$	15.1760	−	9.75306i	1.21897	−	0.783384i
$156$	−0.578577	+	4.02409i	−0.0463232	+	0.322185i
$157$	−15.1354	−	9.72694i	−1.20794	−	0.776294i	−0.227625	−	0.973749i	$-0.573096\pi$
$157$	−15.1354	−	9.72694i	−1.20794	−	0.776294i	−0.980312	+	0.197455i	$0.936732\pi$
$158$	−2.40726	+	2.77813i	−0.191512	+	0.221016i
$159$	2.71325	+	0.796681i	0.215175	+	0.0631810i
$160$	2.99223			0.236556
$161$	3.16106	−	3.60662i	0.249126	−	0.284242i
$162$	−1.00000			−0.0785674
$163$	2.64473	+	0.776562i	0.207151	+	0.0608250i	0.383662	−	0.923474i	$-0.374663\pi$
$163$	2.64473	+	0.776562i	0.207151	+	0.0608250i	−0.176511	+	0.984299i	$0.556481\pi$
$164$	5.11259	−	5.90024i	0.399226	−	0.460732i
$165$	−5.61015	−	3.60543i	−0.436750	−	0.280682i
$166$	−0.921487	+	6.40908i	−0.0715213	+	0.497441i
$167$	0.317150	−	0.203820i	0.0245418	−	0.0157721i	−0.528312	−	0.849050i	$-0.677175\pi$
$167$	0.317150	−	0.203820i	0.0245418	−	0.0157721i	0.552854	+	0.833278i	$0.313539\pi$
$168$	−0.415415	−	0.909632i	−0.0320500	−	0.0701796i
$169$	−2.31038	−	2.66633i	−0.177722	−	0.205102i
$170$	−2.30441	−	16.0276i	−0.176741	−	1.22926i
$171$	0.980699	−	2.14743i	0.0749959	−	0.164218i
$172$	7.91479	−	2.32399i	0.603497	−	0.177203i
$173$	−23.1724	+	6.80404i	−1.76177	+	0.517302i	−0.992566	−	0.121705i	$-0.961164\pi$
$173$	−23.1724	+	6.80404i	−1.76177	+	0.517302i	−0.769202	+	0.639006i	$0.779346\pi$
$174$	−0.895412	+	1.96068i	−0.0678810	+	0.148639i
$175$	−0.562632	−	3.91319i	−0.0425310	−	0.295809i
$176$	−1.45949	−	1.68434i	−0.110013	−	0.126962i
$177$	−5.27339	−	11.5471i	−0.396372	−	0.867934i
$178$	12.3850	−	7.95935i	0.928294	−	0.596578i
$179$	2.98807	−	20.7825i	0.223339	−	1.55336i	−0.501940	−	0.864902i	$-0.667380\pi$
$179$	2.98807	−	20.7825i	0.223339	−	1.55336i	0.725279	−	0.688455i	$-0.241711\pi$
$180$	−2.51722	−	1.61772i	−0.187623	−	0.120578i
$181$	−3.72737	+	4.30161i	−0.277053	+	0.319736i	−0.877174	−	0.480173i	$-0.840574\pi$
$181$	−3.72737	+	4.30161i	−0.277053	+	0.319736i	0.600121	+	0.799910i	$0.295119\pi$
$182$	3.90079	+	1.14538i	0.289146	+	0.0849009i
$183$	−3.28381			−0.242746
$184$	2.01691	−	4.35110i	0.148688	−	0.320767i
$185$	−2.03748			−0.149799
$186$	−5.78467	−	1.69853i	−0.424153	−	0.124543i
$187$	−7.89801	+	9.11479i	−0.577560	+	0.666540i
$188$	−2.17107	−	1.39526i	−0.158341	−	0.101760i
$189$	−0.142315	+	0.989821i	−0.0103519	+	0.0719989i
$190$	5.94258	−	3.81907i	0.431120	−	0.277064i
$191$	0.282096	+	0.617705i	0.0204118	+	0.0446955i	0.919563	−	0.392942i	$-0.128543\pi$
$191$	0.282096	+	0.617705i	0.0204118	+	0.0446955i	−0.899152	+	0.437637i	$0.855815\pi$
$192$	−0.654861	−	0.755750i	−0.0472605	−	0.0545415i
$193$	−1.43068	−	9.95058i	−0.102982	−	0.716258i	−0.974253	−	0.225456i	$-0.927613\pi$
$193$	−1.43068	−	9.95058i	−0.102982	−	0.716258i	0.871271	−	0.490802i	$-0.163296\pi$
$194$	−6.01197	+	13.1644i	−0.431635	+	0.945148i
$195$	11.6721	−	3.42723i	0.835853	−	0.245429i
$196$	−0.959493	+	0.281733i	−0.0685352	+	0.0201238i
$197$	−9.89870	+	21.6751i	−0.705253	+	1.54429i	0.128230	+	0.991744i	$0.459070\pi$
$197$	−9.89870	+	21.6751i	−0.705253	+	1.54429i	−0.833483	+	0.552545i	$0.813657\pi$
$198$	0.317178	+	2.20602i	0.0225409	+	0.156775i
$199$	3.62027	+	4.17801i	0.256634	+	0.296171i	0.869416	−	0.494080i	$-0.164495\pi$
$199$	3.62027	+	4.17801i	0.256634	+	0.296171i	−0.612782	+	0.790252i	$0.709950\pi$
$200$	−1.64231	−	3.59617i	−0.116129	−	0.254287i
$201$	4.34091	−	2.78973i	0.306184	−	0.196773i
$202$	−2.07603	+	14.4391i	−0.146069	+	1.01593i
$203$	1.81329	+	1.16533i	0.127268	+	0.0817903i
$204$	−3.54376	+	4.08972i	−0.248113	+	0.286338i
$205$	−22.4145	−	6.58148i	−1.56549	−	0.459671i
$206$	2.62869			0.183150
$207$	−4.04911	+	2.56996i	−0.281433	+	0.178624i
$208$	4.06547			0.281890
$209$	−5.04834	−	1.48233i	−0.349201	−	0.102535i
$210$	−1.95949	+	2.26138i	−0.135218	+	0.156050i
$211$	−7.94224	−	5.10417i	−0.546766	−	0.351385i	0.237914	−	0.971286i	$-0.423536\pi$
$211$	−7.94224	−	5.10417i	−0.546766	−	0.351385i	−0.784680	+	0.619901i	$0.787173\pi$
$212$	0.402437	−	2.79901i	0.0276395	−	0.192237i
$213$	−0.477724	+	0.307015i	−0.0327331	+	0.0210363i
$214$	−0.656469	−	1.43747i	−0.0448753	−	0.0982631i
$215$	−16.1637	−	18.6539i	−1.10236	−	1.27219i
$216$	0.142315	+	0.989821i	0.00968330	+	0.0673488i
$217$	−2.50449	+	5.48407i	−0.170016	+	0.372283i
$218$	−11.2986	+	3.31757i	−0.765238	+	0.224694i
$219$	−8.56899	+	2.51608i	−0.579039	+	0.170021i
$220$	−2.77032	+	6.06616i	−0.186775	+	0.408980i
$221$	−3.13095	−	21.7763i	−0.210611	−	1.46483i
$222$	0.445911	+	0.514609i	0.0299276	+	0.0345383i
$223$	−0.850412	−	1.86214i	−0.0569478	−	0.124698i	0.879019	−	0.476787i	$-0.158199\pi$
$223$	−0.850412	−	1.86214i	−0.0569478	−	0.124698i	−0.935967	+	0.352089i	$0.885471\pi$
$224$	−0.841254	+	0.540641i	−0.0562086	+	0.0361231i
$225$	−0.562632	+	3.91319i	−0.0375088	+	0.260879i
$226$	4.67155	+	3.00223i	0.310747	+	0.199705i
$227$	14.1196	−	16.2949i	0.937149	−	1.08153i	−0.0593764	−	0.998236i	$-0.518911\pi$
$227$	14.1196	−	16.2949i	0.937149	−	1.08153i	0.996525	−	0.0832918i	$-0.0265433\pi$
$228$	−2.26514	−	0.665106i	−0.150013	−	0.0440477i
$229$	19.1021			1.26230			0.631152	−	0.775659i	$-0.282582\pi$
$229$	19.1021			1.26230			0.631152	+	0.775659i	$0.282582\pi$
$230$	−14.3500	−	0.0811830i	−0.946211	−	0.00535305i
$231$	2.22871			0.146638
$232$	2.06815	+	0.607265i	0.135781	+	0.0398689i
$233$	−3.63960	+	4.20032i	−0.238438	+	0.275172i	−0.862339	−	0.506331i	$-0.831001\pi$
$233$	−3.63960	+	4.20032i	−0.238438	+	0.275172i	0.623901	+	0.781503i	$0.285547\pi$
$234$	−3.42009	−	2.19796i	−0.223578	−	0.143685i
$235$	−1.09898	+	7.64360i	−0.0716898	+	0.498614i
$236$	−10.6791	+	6.86304i	−0.695150	+	0.446746i
$237$	−1.52706	−	3.34380i	−0.0991934	−	0.217203i
$238$	3.54376	+	4.08972i	0.229708	+	0.265097i
$239$	2.16982	+	15.0914i	0.140354	+	0.976182i	0.931289	+	0.364282i	$0.118685\pi$
$239$	2.16982	+	15.0914i	0.140354	+	0.976182i	−0.790935	+	0.611900i	$0.790405\pi$
$240$	−1.24302	+	2.72183i	−0.0802364	+	0.175693i
$241$	15.4342	−	4.53188i	0.994203	−	0.291924i	0.256128	−	0.966643i	$-0.417553\pi$
$241$	15.4342	−	4.53188i	0.994203	−	0.291924i	0.738075	+	0.674719i	$0.235735\pi$
$242$	−5.78849	+	1.69965i	−0.372098	+	0.109258i
$243$	0.415415	−	0.909632i	0.0266489	−	0.0583529i
$244$	0.467334	+	3.25038i	0.0299180	+	0.208084i
$245$	1.95949	+	2.26138i	0.125187	+	0.144474i
$246$	3.24320	+	7.10163i	0.206779	+	0.452783i
$247$	8.07405	−	5.18888i	0.513739	−	0.330160i
$248$	−0.858000	+	5.96752i	−0.0544831	+	0.378938i
$249$	−5.44711	−	3.50064i	−0.345196	−	0.221844i
$250$	2.05074	−	2.36668i	0.129700	−	0.149682i
$251$	10.6473	+	3.12634i	0.672054	+	0.197333i	0.599918	−	0.800062i	$-0.295200\pi$
$251$	10.6473	+	3.12634i	0.672054	+	0.197333i	0.0721366	+	0.997395i	$0.477018\pi$
$252$	1.00000			0.0629941
$253$	6.95367	+	8.11730i	0.437174	+	0.510330i
$254$	−9.56101			−0.599911
$255$	15.5365	+	4.56192i	0.972931	+	0.285678i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	6.55657	+	4.21365i	0.408988	+	0.262840i	0.728918	−	0.684601i	$-0.240023\pi$
$257$	6.55657	+	4.21365i	0.408988	+	0.262840i	−0.319931	+	0.947441i	$0.603660\pi$
$258$	−1.17394	+	8.16496i	−0.0730866	+	0.508328i
$259$	0.572830	−	0.368136i	0.0355939	−	0.0228748i
$260$	−5.05345	−	11.0655i	−0.313402	−	0.686254i
$261$	−1.41153	−	1.62899i	−0.0873715	−	0.100832i
$262$	−3.02446	−	21.0356i	−0.186852	−	1.29958i
$263$	0.481858	−	1.05512i	0.0297127	−	0.0650616i	−0.894194	−	0.447680i	$-0.852250\pi$
$263$	0.481858	−	1.05512i	0.0297127	−	0.0650616i	0.923906	+	0.382618i	$0.124978\pi$
$264$	2.13843	−	0.627899i	0.131611	−	0.0386445i
$265$	−8.11866	+	2.38385i	−0.498725	+	0.146439i
$266$	−0.980699	+	2.14743i	−0.0601305	+	0.131667i
$267$	2.09517	+	14.5722i	0.128222	+	0.891805i
$268$	−3.37911	−	3.89971i	−0.206412	−	0.238212i
$269$	−5.08747	−	11.1400i	−0.310189	−	0.679218i	0.688763	−	0.724986i	$-0.258154\pi$
$269$	−5.08747	−	11.1400i	−0.310189	−	0.679218i	−0.998952	+	0.0457678i	$0.985427\pi$
$270$	2.51722	−	1.61772i	0.153193	−	0.0984514i
$271$	−3.44471	+	23.9585i	−0.209251	+	1.45537i	0.566358	+	0.824159i	$0.308352\pi$
$271$	−3.44471	+	23.9585i	−0.209251	+	1.45537i	−0.775609	+	0.631214i	$0.782557\pi$
$272$	4.55242	+	2.92566i	0.276031	+	0.177394i
$273$	−2.66232	+	3.07248i	−0.161131	+	0.185955i
$274$	4.21417	+	1.23739i	0.254588	+	0.0747536i
$275$	8.81104			0.531326
$276$	3.12005	+	3.64216i	0.187805	+	0.219232i
$277$	−10.4287			−0.626599			−0.313300	−	0.949654i	$-0.601434\pi$
$277$	−10.4287			−0.626599			−0.313300	+	0.949654i	$0.601434\pi$
$278$	−12.8938	−	3.78596i	−0.773319	−	0.227067i
$279$	3.94808	−	4.55633i	0.236365	−	0.272780i
$280$	2.51722	+	1.61772i	0.150433	+	0.0966773i
$281$	−3.14033	+	21.8414i	−0.187336	+	1.30295i	0.651534	+	0.758620i	$0.274126\pi$
$281$	−3.14033	+	21.8414i	−0.187336	+	1.30295i	−0.838870	+	0.544332i	$0.816783\pi$
$282$	2.17107	−	1.39526i	0.129285	−	0.0830865i
$283$	9.51744	+	20.8403i	0.565753	+	1.23883i	0.949028	+	0.315192i	$0.102069\pi$
$283$	9.51744	+	20.8403i	0.565753	+	1.23883i	−0.383275	+	0.923634i	$0.625204\pi$
$284$	0.371877	+	0.429169i	0.0220668	+	0.0254665i
$285$	1.00531	+	6.99206i	0.0595492	+	0.414174i
$286$	−3.76397	+	8.24194i	−0.222568	+	0.487356i
$287$	7.49090	−	2.19953i	0.442174	−	0.129834i
$288$	0.959493	−	0.281733i	0.0565387	−	0.0166013i
$289$	5.10299	−	11.1740i	0.300176	−	0.657293i
$290$	−0.917880	−	6.38400i	−0.0538998	−	0.374881i
$291$	−9.47728	−	10.9374i	−0.555568	−	0.641160i
$292$	3.70997	+	8.12369i	0.217109	+	0.475403i
$293$	17.5279	−	11.2645i	1.02399	−	0.658079i	0.0830141	−	0.996548i	$-0.473545\pi$
$293$	17.5279	−	11.2645i	1.02399	−	0.658079i	0.940978	+	0.338469i	$0.109909\pi$
$294$	0.142315	−	0.989821i	0.00829997	−	0.0577276i
$295$	31.9543	+	20.5358i	1.86045	+	1.19564i
$296$	0.445911	−	0.514609i	0.0259180	−	0.0299110i
$297$	−2.13843	−	0.627899i	−0.124084	−	0.0364344i
$298$	−7.47213			−0.432849
$299$	−19.4970	−	0.110301i	−1.12754	−	0.00637890i
$300$	3.95343			0.228251
$301$	7.91479	+	2.32399i	0.456201	+	0.133953i
$302$	−12.0460	+	13.9018i	−0.693168	+	0.799959i
$303$	−12.2719	−	7.88666i	−0.705001	−	0.453077i
$304$	−0.335973	+	2.33674i	−0.0192693	+	0.134021i
$305$	8.26607	−	5.31228i	0.473314	−	0.304180i
$306$	−2.24801	−	4.92245i	−0.128510	−	0.281398i
$307$	17.4772	+	20.1698i	0.997479	+	1.15115i	0.988504	+	0.151193i	$0.0483114\pi$
$307$	17.4772	+	20.1698i	0.997479	+	1.15115i	0.00897493	+	0.999960i	$0.497143\pi$
$308$	−0.317178	−	2.20602i	−0.0180729	−	0.125700i
$309$	−1.09200	+	2.39114i	−0.0621216	+	0.136027i
$310$	17.3091	−	5.08240i	0.983089	−	0.288661i
$311$	33.1434	−	9.73179i	1.87939	−	0.551839i	0.882761	−	0.469823i	$-0.155682\pi$
$311$	33.1434	−	9.73179i	1.87939	−	0.551839i	0.996631	−	0.0820166i	$-0.0261360\pi$
$312$	−1.68886	+	3.69808i	−0.0956127	+	0.209363i
$313$	−0.733582	−	5.10217i	−0.0414645	−	0.288392i	−0.999994	−	0.00339933i	$-0.998918\pi$
$313$	−0.733582	−	5.10217i	−0.0414645	−	0.288392i	0.958530	−	0.284993i	$-0.0919911\pi$
$314$	−11.7819	−	13.5971i	−0.664892	−	0.767327i
$315$	−1.24302	−	2.72183i	−0.0700361	−	0.153358i
$316$	−3.09244	+	1.98739i	−0.173964	+	0.111800i
$317$	−3.41918	+	23.7809i	−0.192041	+	1.33567i	0.634556	+	0.772877i	$0.281183\pi$
$317$	−3.41918	+	23.7809i	−0.192041	+	1.33567i	−0.826597	+	0.562795i	$0.809726\pi$
$318$	2.37889	+	1.52882i	0.133402	+	0.0857320i
$319$	−3.14589	+	3.63055i	−0.176136	+	0.203272i
$320$	2.87102	+	0.843008i	0.160495	+	0.0471256i
$321$	1.58027			0.0882022
$322$	4.04911	−	2.56996i	0.225648	−	0.143218i
$323$	12.7752			0.710834
$324$	−0.959493	−	0.281733i	−0.0533052	−	0.0156518i
$325$	−10.5253	+	12.1468i	−0.583838	+	0.673785i
$326$	2.31881	+	1.49021i	0.128427	+	0.0825352i
$327$	1.67584	−	11.6557i	0.0926743	−	0.644564i
$328$	6.56779	−	4.22086i	0.362645	−	0.233058i
$329$	−1.07208	−	2.34754i	−0.0591059	−	0.129424i
$330$	−4.36714	−	5.03994i	−0.240403	−	0.277440i
$331$	−2.73442	−	19.0183i	−0.150297	−	1.04534i	−0.915721	−	0.401815i	$-0.868380\pi$
$331$	−2.73442	−	19.0183i	−0.150297	−	1.04534i	0.765424	−	0.643527i	$-0.222529\pi$
$332$	−2.68981	+	5.88986i	−0.147622	+	0.323248i
$333$	−0.653342	+	0.191839i	−0.0358029	+	0.0105127i
$334$	0.361726	−	0.106212i	0.0197928	−	0.00581169i
$335$	−6.41403	+	14.0448i	−0.350436	+	0.767347i
$336$	−0.142315	−	0.989821i	−0.00776391	−	0.0539992i
$337$	11.0896	+	12.7981i	0.604092	+	0.697159i	0.972605	−	0.232463i	$-0.0746786\pi$
$337$	11.0896	+	12.7981i	0.604092	+	0.697159i	−0.368513	+	0.929622i	$0.620133\pi$
$338$	−1.46561	−	3.20923i	−0.0797185	−	0.174559i
$339$	−4.67155	+	3.00223i	−0.253724	+	0.163059i
$340$	2.30441	−	16.0276i	0.124974	−	0.869216i
$341$	−11.3036	−	7.26439i	−0.612125	−	0.393389i
$342$	1.54598	−	1.78415i	0.0835968	−	0.0964758i
$343$	−0.959493	−	0.281733i	−0.0518078	−	0.0152121i
$344$	8.24892			0.444752
$345$	6.03505	−	13.0195i	0.324916	−	0.700946i
$346$	−24.1507			−1.29835
$347$	16.6832	+	4.89862i	0.895599	+	0.262971i	0.696967	−	0.717103i	$-0.254532\pi$
$347$	16.6832	+	4.89862i	0.895599	+	0.262971i	0.198631	+	0.980074i	$0.436350\pi$
$348$	−1.41153	+	1.62899i	−0.0756659	+	0.0873231i
$349$	−3.62066	−	2.32685i	−0.193809	−	0.124554i	0.440137	−	0.897930i	$-0.354930\pi$
$349$	−3.62066	−	2.32685i	−0.193809	−	0.124554i	−0.633947	+	0.773377i	$0.718566\pi$
$350$	0.562632	−	3.91319i	0.0300739	−	0.209169i
$351$	3.42009	−	2.19796i	0.182551	−	0.117318i
$352$	−0.925839	−	2.02730i	−0.0493474	−	0.108056i
$353$	7.65194	+	8.83081i	0.407272	+	0.470017i	0.921918	−	0.387386i	$-0.126622\pi$
$353$	7.65194	+	8.83081i	0.407272	+	0.470017i	−0.514646	+	0.857403i	$0.672077\pi$
$354$	−1.80658	−	12.5651i	−0.0960188	−	0.667825i
$355$	0.705874	−	1.54565i	0.0374639	−	0.0820345i
$356$	14.1257	−	4.14768i	0.748661	−	0.219827i
$357$	−5.19227	+	1.52459i	−0.274804	+	0.0806898i
$358$	8.72214	−	19.0988i	0.460980	−	1.00940i
$359$	−1.09230	−	7.59709i	−0.0576492	−	0.400959i	−0.998131	−	0.0611142i	$-0.980535\pi$
$359$	−1.09230	−	7.59709i	−0.0576492	−	0.400959i	0.940482	−	0.339845i	$-0.110374\pi$
$360$	−1.95949	−	2.26138i	−0.103274	−	0.119185i
$361$	−5.57768	−	12.2134i	−0.293562	−	0.642811i
$362$	−4.78829	+	3.07725i	−0.251667	+	0.161737i
$363$	0.858566	−	5.97146i	0.0450630	−	0.313420i
$364$	3.42009	+	2.19796i	0.179262	+	0.115204i
$365$	17.4997	−	20.1958i	0.915978	−	1.05709i
$366$	−3.15079	−	0.925155i	−0.164694	−	0.0483586i
$367$	30.8610			1.61093			0.805467	−	0.592641i	$-0.201915\pi$
$367$	30.8610			1.61093			0.805467	+	0.592641i	$0.201915\pi$
$368$	3.16106	−	3.60662i	0.164781	−	0.188008i
$369$	−7.80714			−0.406424
$370$	−1.95495	−	0.574025i	−0.101633	−	0.0298421i
$371$	1.85181	−	2.13710i	0.0961412	−	0.110953i
$372$	−5.07182	−	3.25946i	−0.262962	−	0.168995i
$373$	−4.71197	+	32.7725i	−0.243977	+	1.69690i	0.387798	+	0.921744i	$0.373236\pi$
$373$	−4.71197	+	32.7725i	−0.243977	+	1.69690i	−0.631775	+	0.775152i	$0.717673\pi$
$374$	−10.1460	+	6.52045i	−0.524638	+	0.337164i
$375$	1.30090	+	2.84858i	0.0671783	+	0.147100i
$376$	−1.69003	−	1.95040i	−0.0871568	−	0.100584i
$377$	−1.24710	−	8.67379i	−0.0642290	−	0.446723i
$378$	−0.415415	+	0.909632i	−0.0213666	+	0.0467864i
$379$	−20.7655	+	6.09730i	−1.06665	+	0.313197i	−0.767527	−	0.641017i	$-0.778513\pi$
$379$	−20.7655	+	6.09730i	−1.06665	+	0.313197i	−0.299125	+	0.954214i	$0.596695\pi$
$380$	6.77782	−	1.99015i	0.347695	−	0.102092i
$381$	3.97179	−	8.69700i	0.203481	−	0.445561i
$382$	0.0966419	+	0.672159i	0.00494463	+	0.0343907i
$383$	9.39683	+	10.8445i	0.480155	+	0.554129i	0.943208	−	0.332202i	$-0.107792\pi$
$383$	9.39683	+	10.8445i	0.480155	+	0.554129i	−0.463053	+	0.886331i	$0.653246\pi$
$384$	−0.415415	−	0.909632i	−0.0211991	−	0.0464195i
$385$	−5.61015	+	3.60543i	−0.285920	+	0.183750i
$386$	1.43068	−	9.95058i	0.0728195	−	0.506471i
$387$	−6.93944	−	4.45971i	−0.352751	−	0.226700i
$388$	−9.47728	+	10.9374i	−0.481136	+	0.555261i
$389$	−4.17310	−	1.22533i	−0.211585	−	0.0621268i	0.174223	−	0.984706i	$-0.444259\pi$
$389$	−4.17310	−	1.22533i	−0.211585	−	0.0621268i	−0.385807	+	0.922579i	$0.626077\pi$
$390$	12.1648			0.615990
$391$	−21.7529	−	14.1543i	−1.10009	−	0.715813i
$392$	−1.00000			−0.0505076
$393$	20.3910	+	5.98735i	1.02859	+	0.302022i
$394$	−15.6043	+	18.0083i	−0.786134	+	0.907248i
$395$	9.25330	+	5.94673i	0.465584	+	0.299213i
$396$	−0.317178	+	2.20602i	−0.0159388	+	0.110857i
$397$	10.4427	−	6.71113i	0.524105	−	0.336822i	−0.251689	−	0.967808i	$-0.580986\pi$
$397$	10.4427	−	6.71113i	0.524105	−	0.336822i	0.775794	+	0.630986i	$0.217350\pi$
$398$	2.29654	+	5.02872i	0.115115	+	0.252067i
$399$	−1.54598	−	1.78415i	−0.0773956	−	0.0893192i
$400$	−0.562632	−	3.91319i	−0.0281316	−	0.195660i
$401$	4.76068	−	10.4244i	0.237737	−	0.520571i	−0.752729	−	0.658331i	$-0.771263\pi$
$401$	4.76068	−	10.4244i	0.237737	−	0.520571i	0.990466	+	0.137760i	$0.0439902\pi$
$402$	4.95103	−	1.45375i	0.246935	−	0.0725067i
$403$	23.5174	−	6.90534i	1.17149	−	0.343979i
$404$	−6.05991	+	13.2694i	−0.301492	+	0.660175i
$405$	0.425839	+	2.96177i	0.0211601	+	0.147172i
$406$	1.41153	+	1.62899i	0.0700530	+	0.0808455i
$407$	0.630426	+	1.38044i	0.0312491	+	0.0684259i
$408$	−4.55242	+	2.92566i	−0.225379	+	0.144842i
$409$	−0.728225	+	5.06492i	−0.0360084	+	0.250444i	−0.999873	−	0.0159494i	$-0.994923\pi$
$409$	−0.728225	+	5.06492i	−0.0360084	+	0.250444i	0.963864	+	0.266393i	$0.0858320\pi$
$410$	−19.6523	−	12.6298i	−0.970559	−	0.623740i
$411$	−2.87620	+	3.31932i	−0.141873	+	0.163730i
$412$	2.52221	+	0.740588i	0.124260	+	0.0364861i
$413$	−12.6943			−0.624644
$414$	−4.60914	+	1.32509i	−0.226527	+	0.0651245i
$415$	19.3747			0.951064
$416$	3.90079	+	1.14538i	0.191252	+	0.0561567i
$417$	8.80012	−	10.1559i	0.430944	−	0.497335i
$418$	−4.42623	−	2.84456i	−0.216494	−	0.139132i
$419$	3.63053	−	25.2509i	0.177363	−	1.23359i	−0.685472	−	0.728099i	$-0.740404\pi$
$419$	3.63053	−	25.2509i	0.177363	−	1.23359i	0.862834	−	0.505487i	$-0.168687\pi$
$420$	−2.51722	+	1.61772i	−0.122828	+	0.0789367i
$421$	6.35292	+	13.9109i	0.309622	+	0.677978i	0.998918	−	0.0465018i	$-0.0148073\pi$
$421$	6.35292	+	13.9109i	0.309622	+	0.677978i	−0.689296	+	0.724480i	$0.742080\pi$
$422$	−6.18251	−	7.13500i	−0.300960	−	0.347326i
$423$	0.367279	+	2.55448i	0.0178577	+	0.124203i
$424$	1.17471	−	2.57225i	0.0570489	−	0.124920i
$425$	−20.5273	+	6.02736i	−0.995720	+	0.292370i
$426$	−0.544869	+	0.159988i	−0.0263990	+	0.00775144i
$427$	−1.36414	+	2.98705i	−0.0660155	+	0.144554i
$428$	−0.224896	−	1.56419i	−0.0108708	−	0.0756078i
$429$	−5.93353	−	6.84765i	−0.286473	−	0.330608i
$430$	−10.2536	−	22.4521i	−0.494470	−	1.08274i
$431$	3.80783	−	2.44715i	0.183417	−	0.117875i	−0.445710	−	0.895177i	$-0.647049\pi$
$431$	3.80783	−	2.44715i	0.183417	−	0.117875i	0.629127	+	0.777302i	$0.283412\pi$
$432$	−0.142315	+	0.989821i	−0.00684713	+	0.0476228i
$433$	24.5898	+	15.8029i	1.18171	+	0.759438i	0.975700	−	0.219113i	$-0.0703162\pi$
$433$	24.5898	+	15.8029i	1.18171	+	0.759438i	0.206008	+	0.978550i	$0.433953\pi$
$434$	−3.94808	+	4.55633i	−0.189514	+	0.218711i
$435$	6.18839	+	1.81707i	0.296710	+	0.0871221i
$436$	−11.7756			−0.563949
$437$	1.67464	−	11.1973i	0.0801089	−	0.535640i
$438$	−8.93075			−0.426728
$439$	−25.2776	−	7.42216i	−1.20643	−	0.354241i	−0.384124	−	0.923282i	$-0.625496\pi$
$439$	−25.2776	−	7.42216i	−1.20643	−	0.354241i	−0.822309	+	0.569041i	$0.807315\pi$
$440$	−4.36714	+	5.03994i	−0.208195	+	0.240270i
$441$	0.841254	+	0.540641i	0.0400597	+	0.0257448i
$442$	3.13095	−	21.7763i	0.148924	−	1.03579i
$443$	−0.977141	+	0.627971i	−0.0464254	+	0.0298358i	−0.563648	−	0.826015i	$-0.690602\pi$
$443$	−0.977141	+	0.627971i	−0.0464254	+	0.0298358i	0.517222	+	0.855851i	$0.326966\pi$
$444$	0.282866	+	0.619391i	0.0134242	+	0.0293950i
$445$	−28.8478	−	33.2921i	−1.36752	−	1.57820i
$446$	−0.291338	−	2.02630i	−0.0137953	−	0.0959481i
$447$	3.10404	−	6.79689i	0.146816	−	0.321482i
$448$	−0.959493	+	0.281733i	−0.0453318	+	0.0133106i
$449$	−32.4793	+	9.53678i	−1.53279	+	0.450069i	−0.935904	−	0.352255i	$-0.885415\pi$
$449$	−32.4793	+	9.53678i	−1.53279	+	0.450069i	−0.596889	+	0.802324i	$0.703597\pi$
$450$	−1.64231	+	3.59617i	−0.0774195	+	0.169525i
$451$	2.47625	+	17.2227i	0.116602	+	0.810987i
$452$	3.63650	+	4.19674i	0.171047	+	0.197398i
$453$	−7.64144	−	16.7324i	−0.359026	−	0.786158i
$454$	18.1384	−	11.6569i	0.851278	−	0.547083i
$455$	1.73123	−	12.0410i	0.0811615	−	0.564491i
$456$	−1.98601	−	1.27633i	−0.0930032	−	0.0597695i
$457$	5.74246	−	6.62716i	0.268621	−	0.310005i	−0.605373	−	0.795942i	$-0.706976\pi$
$457$	5.74246	−	6.62716i	0.268621	−	0.310005i	0.873994	+	0.485937i	$0.161521\pi$
$458$	18.3284	+	5.38169i	0.856428	+	0.251470i
$459$	5.41148			0.252586
$460$	−13.7458	−	4.12076i	−0.640903	−	0.192131i
$461$	−3.60226			−0.167774			−0.0838870	−	0.996475i	$-0.526733\pi$
$461$	−3.60226			−0.167774			−0.0838870	+	0.996475i	$0.526733\pi$
$462$	2.13843	+	0.627899i	0.0994887	+	0.0292125i
$463$	−6.01540	+	6.94215i	−0.279559	+	0.322629i	−0.878112	−	0.478454i	$-0.841197\pi$
$463$	−6.01540	+	6.94215i	−0.279559	+	0.322629i	0.598553	+	0.801083i	$0.295743\pi$
$464$	1.81329	+	1.16533i	0.0841800	+	0.0540992i
$465$	−2.56733	+	17.8562i	−0.119057	+	0.828061i
$466$	−4.67554	+	3.00479i	−0.216590	+	0.139194i
$467$	−8.06966	−	17.6701i	−0.373420	−	0.817675i	−0.999287	−	0.0377456i	$-0.987982\pi$
$467$	−8.06966	−	17.6701i	−0.373420	−	0.817675i	0.625868	−	0.779929i	$-0.284745\pi$
$468$	−2.66232	−	3.07248i	−0.123066	−	0.142025i
$469$	−0.734352	−	5.10753i	−0.0339092	−	0.235844i
$470$	−3.20792	+	7.02436i	−0.147970	+	0.324010i
$471$	17.2627	−	5.06879i	0.795424	−	0.233557i
$472$	−12.1801	+	3.57639i	−0.560633	+	0.164617i
$473$	−7.63717	+	16.7231i	−0.351158	+	0.768928i
$474$	−0.523149	−	3.63858i	−0.0240290	−	0.167125i
$475$	−6.11191	−	7.05352i	−0.280434	−	0.323638i
$476$	2.24801	+	4.92245i	0.103037	+	0.225620i
$477$	−2.37889	+	1.52882i	−0.108922	+	0.0699999i
$478$	−2.16982	+	15.0914i	−0.0992451	+	0.690265i
$479$	−21.4716	−	13.7990i	−0.981064	−	0.630492i	−0.0513138	−	0.998683i	$-0.516341\pi$
$479$	−21.4716	−	13.7990i	−0.981064	−	0.630492i	−0.929750	+	0.368191i	$0.879977\pi$
$480$	−1.95949	+	2.26138i	−0.0894382	+	0.103217i
$481$	−2.65614	−	0.779914i	−0.121110	−	0.0355610i
$482$	16.0858			0.732686
$483$	0.655652	+	4.75080i	0.0298332	+	0.216169i
$484$	−6.03286			−0.274221
$485$	41.5500	+	12.2002i	1.88669	+	0.553982i
$486$	0.654861	−	0.755750i	0.0297051	−	0.0342815i
$487$	−8.50640	−	5.46673i	−0.385462	−	0.247721i	0.333530	−	0.942739i	$-0.391760\pi$
$487$	−8.50640	−	5.46673i	−0.385462	−	0.247721i	−0.718992	+	0.695018i	$0.755396\pi$
$488$	−0.467334	+	3.25038i	−0.0211552	+	0.147138i
$489$	−2.31881	+	1.49021i	−0.104860	+	0.0673897i
$490$	1.24302	+	2.72183i	0.0561538	+	0.122960i
$491$	25.2273	+	29.1139i	1.13849	+	1.31389i	0.942851	+	0.333215i	$0.108134\pi$
$491$	25.2273	+	29.1139i	1.13849	+	1.31389i	0.195642	+	0.980675i	$0.437321\pi$
$492$	1.11107	+	7.72768i	0.0500910	+	0.348391i
$493$	4.84550	−	10.6102i	0.218230	−	0.477858i
$494$	9.20887	−	2.70397i	0.414327	−	0.121657i
$495$	6.39867	−	1.87882i	0.287599	−	0.0844466i
$496$	−2.50449	+	5.48407i	−0.112455	+	0.246242i
$497$	0.0808166	+	0.562092i	0.00362512	+	0.0252133i
$498$	−4.24022	−	4.89347i	−0.190009	−	0.219282i
$499$	−8.37675	−	18.3425i	−0.374995	−	0.821124i	−0.999205	−	0.0398678i	$-0.987306\pi$
$499$	−8.37675	−	18.3425i	−0.374995	−	0.821124i	0.624210	−	0.781257i	$-0.285421\pi$
$500$	2.63445	−	1.69306i	0.117816	−	0.0757157i
$501$	−0.0536523	+	0.373160i	−0.00239701	+	0.0166716i
$502$	9.33526	+	5.99940i	0.416653	+	0.267767i
$503$	−12.0435	+	13.8989i	−0.536992	+	0.619721i	−0.957803	−	0.287427i	$-0.907200\pi$
$503$	−12.0435	+	13.8989i	−0.536992	+	0.619721i	0.420811	+	0.907148i	$0.361746\pi$
$504$	0.959493	+	0.281733i	0.0427392	+	0.0125494i
$505$	43.6495			1.94238
$506$	4.38509	+	9.74757i	0.194941	+	0.433332i
$507$	3.52806			0.156686
$508$	−9.17372	−	2.69365i	−0.407018	−	0.119511i
$509$	−25.3291	+	29.2313i	−1.12269	+	1.29566i	−0.172147	+	0.985071i	$0.555070\pi$
$509$	−25.3291	+	29.2313i	−1.12269	+	1.29566i	−0.950546	+	0.310585i	$0.899475\pi$
$510$	13.6219	+	8.75426i	0.603187	+	0.387645i
$511$	−1.27098	+	8.83984i	−0.0562247	+	0.391052i
$512$	−0.841254	+	0.540641i	−0.0371785	+	0.0238932i
$513$	0.980699	+	2.14743i	0.0432989	+	0.0948114i
$514$	5.10386	+	5.89017i	0.225122	+	0.259804i
$515$	−1.11940	−	7.78558i	−0.0493266	−	0.343074i
$516$	−3.42673	+	7.50349i	−0.150853	+	0.330323i
$517$	5.51876	−	1.62045i	0.242715	−	0.0712674i
$518$	0.653342	−	0.191839i	0.0287062	−	0.00842891i
$519$	10.0326	−	21.9683i	0.440381	−	0.964300i
$520$	−1.73123	−	12.0410i	−0.0759196	−	0.528033i
$521$	2.53562	+	2.92626i	0.111088	+	0.128202i	0.808570	−	0.588400i	$-0.200242\pi$
$521$	2.53562	+	2.92626i	0.111088	+	0.128202i	−0.697482	+	0.716602i	$0.745696\pi$
$522$	−0.895412	−	1.96068i	−0.0391911	−	0.0858166i
$523$	25.6402	−	16.4780i	1.12117	−	0.720531i	0.157469	−	0.987524i	$-0.449666\pi$
$523$	25.6402	−	16.4780i	1.12117	−	0.720531i	0.963698	+	0.266993i	$0.0860301\pi$
$524$	3.02446	−	21.0356i	0.132124	−	0.918944i
$525$	3.32584	+	2.13739i	0.145151	+	0.0932832i
$526$	0.759602	−	0.876627i	0.0331202	−	0.0382228i
$527$	31.3036	+	9.19157i	1.36361	+	0.400391i
$528$	2.22871			0.0969920
$529$	−15.2575	+	17.2107i	−0.663370	+	0.748292i
$530$	−8.46140			−0.367540
$531$	12.1801	+	3.57639i	0.528570	+	0.155202i
$532$	−1.54598	+	1.78415i	−0.0670265	+	0.0773527i
$533$	−26.7011	−	17.1598i	−1.15655	−	0.743273i
$534$	−2.09517	+	14.5722i	−0.0906668	+	0.630601i
$535$	−3.97790	+	2.55644i	−0.171979	+	0.110524i
$536$	−2.14356	−	4.69375i	−0.0925878	−	0.202739i
$537$	13.7496	+	15.8679i	0.593339	+	0.684750i
$538$	−1.74289	−	12.1221i	−0.0751413	−	0.522619i
$539$	0.925839	−	2.02730i	0.0398787	−	0.0873221i
$540$	2.87102	−	0.843008i	0.123549	−	0.0362773i
$541$	18.6235	−	5.46835i	0.800687	−	0.235103i	0.144307	−	0.989533i	$-0.453905\pi$
$541$	18.6235	−	5.46835i	0.800687	−	0.235103i	0.656380	+	0.754430i	$0.272087\pi$
$542$	−10.0551	+	22.0175i	−0.431901	+	0.945732i
$543$	−0.810035	−	5.63392i	−0.0347619	−	0.241775i
$544$	3.54376	+	4.08972i	0.151938	+	0.175345i
$545$	14.6373	+	32.0511i	0.626991	+	1.37292i
$546$	−3.42009	+	2.19796i	−0.146366	+	0.0940640i
$547$	2.51489	−	17.4915i	0.107529	−	0.747881i	−0.862704	−	0.505709i	$-0.831231\pi$
$547$	2.51489	−	17.4915i	0.107529	−	0.747881i	0.970233	−	0.242172i	$-0.0778598\pi$
$548$	3.69486	+	2.37454i	0.157836	+	0.101435i
$549$	2.15044	−	2.48173i	0.0917783	−	0.105918i
$550$	8.45413	+	2.48236i	0.360485	+	0.105848i
$551$	5.08856			0.216780
$552$	1.96755	+	4.37364i	0.0837444	+	0.186155i
$553$	−3.67599			−0.156319
$554$	−10.0063	−	2.93810i	−0.425125	−	0.124828i
$555$	1.33427	−	1.53983i	0.0566365	−	0.0653620i
$556$	−11.3049	−	7.26521i	−0.479434	−	0.308114i
$557$	−2.88392	+	20.0581i	−0.122195	+	0.849888i	0.832865	+	0.553476i	$0.186699\pi$
$557$	−2.88392	+	20.0581i	−0.122195	+	0.849888i	−0.955060	+	0.296411i	$0.904210\pi$
$558$	5.07182	−	3.25946i	0.214707	−	0.137984i
$559$	−13.9313	−	30.5052i	−0.589230	−	1.29023i
$560$	1.95949	+	2.26138i	0.0828037	+	0.0955606i
$561$	−1.71640	−	11.9378i	−0.0724665	−	0.504016i
$562$	−9.16657	+	20.0720i	−0.386668	+	0.846686i
$563$	−12.0775	+	3.54628i	−0.509007	+	0.149458i	−0.526145	−	0.850395i	$-0.676363\pi$
$563$	−12.0775	+	3.54628i	−0.509007	+	0.149458i	0.0171372	+	0.999853i	$0.494545\pi$
$564$	2.47621	−	0.727082i	0.104267	−	0.0306157i
$565$	6.90258	−	15.1145i	0.290394	−	0.635874i
$566$	3.26053	+	22.6775i	0.137050	+	0.953205i
$567$	−0.654861	−	0.755750i	−0.0275016	−	0.0317385i
$568$	0.235903	+	0.516555i	0.00989825	+	0.0216741i
$569$	−18.1819	+	11.6848i	−0.762227	+	0.489853i	−0.863092	−	0.505047i	$-0.831475\pi$
$569$	−18.1819	+	11.6848i	−0.762227	+	0.489853i	0.100865	+	0.994900i	$0.467839\pi$
$570$	−1.00531	+	6.99206i	−0.0421077	+	0.292865i
$571$	17.5118	+	11.2541i	0.732844	+	0.470970i	0.853083	−	0.521775i	$-0.174730\pi$
$571$	17.5118	+	11.2541i	0.732844	+	0.470970i	−0.120239	+	0.992745i	$0.538366\pi$
$572$	−5.93353	+	6.84765i	−0.248093	+	0.286315i
$573$	−0.651564	−	0.191316i	−0.0272195	−	0.00799236i
$574$	7.80714			0.325864
$575$	2.59208	+	18.7820i	0.108097	+	0.783262i
$576$	1.00000			0.0416667
$577$	16.0236	+	4.70496i	0.667072	+	0.195870i	0.597699	−	0.801721i	$-0.296082\pi$
$577$	16.0236	+	4.70496i	0.667072	+	0.195870i	0.0693730	+	0.997591i	$0.477900\pi$
$578$	8.04436	−	9.28368i	0.334601	−	0.386150i
$579$	8.45704	+	5.43501i	0.351463	+	0.225871i
$580$	0.917880	−	6.38400i	0.0381129	−	0.265081i
$581$	−5.44711	+	3.50064i	−0.225984	+	0.145231i
$582$	−6.01197	−	13.1644i	−0.249204	−	0.545681i
$583$	4.12714	+	4.76298i	0.170929	+	0.197262i
$584$	1.27098	+	8.83984i	0.0525934	+	0.365795i
$585$	−5.05345	+	11.0655i	−0.208934	+	0.457502i
$586$	19.9915	−	5.87003i	0.825841	−	0.242489i
$587$	−7.49555	+	2.20089i	−0.309374	+	0.0908405i	−0.432734	−	0.901521i	$-0.642451\pi$
$587$	−7.49555	+	2.20089i	−0.309374	+	0.0908405i	0.123360	+	0.992362i	$0.460633\pi$
$588$	0.415415	−	0.909632i	0.0171314	−	0.0375126i
$589$	2.02554	+	14.0879i	0.0834609	+	0.580483i
$590$	24.8743	+	28.7065i	1.02406	+	1.18183i
$591$	−9.89870	−	21.6751i	−0.407178	−	0.891596i
$592$	0.572830	−	0.368136i	0.0235432	−	0.0151303i
$593$	5.67886	−	39.4973i	0.233203	−	1.62196i	−0.450899	−	0.892575i	$-0.648897\pi$
$593$	5.67886	−	39.4973i	0.233203	−	1.62196i	0.684102	−	0.729386i	$-0.260194\pi$
$594$	−1.87491	−	1.20493i	−0.0769284	−	0.0494389i
$595$	10.6037	−	12.2374i	0.434711	−	0.501684i
$596$	−7.16946	−	2.10514i	−0.293672	−	0.0862300i
$597$	−5.52830			−0.226258
$598$	−18.6762	−	5.59877i	−0.763725	−	0.228951i
$599$	7.05179			0.288128			0.144064	−	0.989568i	$-0.453983\pi$
$599$	7.05179			0.288128			0.144064	+	0.989568i	$0.453983\pi$
$600$	3.79329	+	1.11381i	0.154860	+	0.0454711i
$601$	2.99919	−	3.46125i	0.122339	−	0.141187i	−0.691276	−	0.722591i	$-0.742951\pi$
$601$	2.99919	−	3.46125i	0.122339	−	0.141187i	0.813615	+	0.581404i	$0.197496\pi$
$602$	6.93944	+	4.45971i	0.282830	+	0.181764i
$603$	−0.734352	+	5.10753i	−0.0299051	+	0.207995i
$604$	−15.4746	+	9.94494i	−0.629654	+	0.404654i
$605$	7.49895	+	16.4204i	0.304876	+	0.667585i
$606$	−9.55285	−	11.0246i	−0.388058	−	0.447843i
$607$	−2.29366	−	15.9527i	−0.0930967	−	0.647502i	−0.981926	−	0.189264i	$-0.939390\pi$
$607$	−2.29366	−	15.9527i	−0.0930967	−	0.647502i	0.888830	−	0.458238i	$-0.151519\pi$
$608$	−0.980699	+	2.14743i	−0.0397726	+	0.0870898i
$609$	−2.06815	+	0.607265i	−0.0838058	+	0.0246076i
$610$	9.42788	−	2.76827i	0.381724	−	0.112084i
$611$	−4.35852	+	9.54384i	−0.176327	+	0.386102i
$612$	−0.770133	−	5.35640i	−0.0311308	−	0.216519i
$613$	−23.9694	−	27.6622i	−0.968117	−	1.11727i	−0.993064	−	0.117577i	$-0.962487\pi$
$613$	−23.9694	−	27.6622i	−0.968117	−	1.11727i	0.0249471	−	0.999689i	$-0.492058\pi$
$614$	11.0868	+	24.2767i	0.447427	+	0.979728i
$615$	19.6523	−	12.6298i	0.792458	−	0.509282i
$616$	0.317178	−	2.20602i	0.0127795	−	0.0888832i
$617$	16.3656	+	10.5175i	0.658853	+	0.423419i	0.826891	−	0.562362i	$-0.190107\pi$
$617$	16.3656	+	10.5175i	0.658853	+	0.423419i	−0.168039	+	0.985780i	$0.553743\pi$
$618$	−1.72143	+	1.98663i	−0.0692459	+	0.0799140i
$619$	22.3887	+	6.57390i	0.899876	+	0.264227i	0.698774	−	0.715343i	$-0.253729\pi$
$619$	22.3887	+	6.57390i	0.899876	+	0.264227i	0.201102	+	0.979570i	$0.435548\pi$
$620$	18.0398			0.724496
$621$	0.709362	−	4.74308i	0.0284657	−	0.190333i
$622$	34.5427			1.38503
$623$	14.1257	+	4.14768i	0.565935	+	0.166173i
$624$	−2.66232	+	3.07248i	−0.106578	+	0.122998i
$625$	−24.5121	−	15.7529i	−0.980482	−	0.630118i
$626$	0.733582	−	5.10217i	0.0293198	−	0.203924i
$627$	4.42623	−	2.84456i	0.176766	−	0.113601i
$628$	−7.47394	−	16.3656i	−0.298243	−	0.653060i
$629$	−2.41304	−	2.78479i	−0.0962140	−	0.111037i
$630$	−0.425839	−	2.96177i	−0.0169658	−	0.118000i
$631$	1.97021	−	4.31417i	0.0784330	−	0.171744i	−0.866353	−	0.499432i	$-0.833542\pi$
$631$	1.97021	−	4.31417i	0.0784330	−	0.171744i	0.944786	+	0.327688i	$0.106269\pi$
$632$	−3.52709	+	1.03565i	−0.140300	+	0.0411958i
$633$	9.05853	−	2.65983i	0.360044	−	0.105719i
$634$	−9.98055	+	21.8544i	−0.396378	+	0.867947i
$635$	4.07145	+	28.3175i	0.161570	+	1.12375i
$636$	1.85181	+	2.13710i	0.0734291	+	0.0847417i
$637$	1.68886	+	3.69808i	0.0669150	+	0.146523i
$638$	−4.04130	+	2.59718i	−0.159997	+	0.102824i
$639$	0.0808166	−	0.562092i	0.00319706	−	0.0222360i
$640$	2.51722	+	1.61772i	0.0995020	+	0.0639460i
$641$	15.6643	−	18.0775i	0.618702	−	0.714020i	−0.356758	−	0.934197i	$-0.616118\pi$
$641$	15.6643	−	18.0775i	0.618702	−	0.714020i	0.975460	+	0.220177i	$0.0706634\pi$
$642$	1.51626	+	0.445214i	0.0598420	+	0.0175712i
$643$	−35.5598			−1.40234			−0.701170	−	0.712994i	$-0.747339\pi$
$643$	−35.5598			−1.40234			−0.701170	+	0.712994i	$0.747339\pi$
$644$	4.60914	−	1.32509i	0.181625	−	0.0522158i
$645$	24.6827			0.971879
$646$	12.2578	+	3.59920i	0.482275	+	0.141609i
$647$	4.61159	−	5.32206i	0.181300	−	0.209232i	−0.657824	−	0.753172i	$-0.728523\pi$
$647$	4.61159	−	5.32206i	0.181300	−	0.209232i	0.839124	+	0.543940i	$0.183068\pi$
$648$	−0.841254	−	0.540641i	−0.0330476	−	0.0212384i
$649$	4.02634	−	28.0038i	0.158048	−	1.09925i
$650$	−13.5211	+	8.68948i	−0.530341	+	0.340830i
$651$	−2.50449	−	5.48407i	−0.0981587	−	0.214938i
$652$	1.80504	+	2.08313i	0.0706910	+	0.0815818i
$653$	−1.62666	−	11.3137i	−0.0636562	−	0.442738i	−0.996578	−	0.0826591i	$-0.973659\pi$
$653$	−1.62666	−	11.3137i	−0.0636562	−	0.442738i	0.932922	−	0.360079i	$-0.117250\pi$
$654$	4.89176	−	10.7115i	0.191283	−	0.418851i
$655$	−61.0147	+	17.9155i	−2.38404	+	0.700017i
$656$	7.49090	−	2.19953i	0.292470	−	0.0858771i
$657$	3.70997	−	8.12369i	0.144740	−	0.316935i
$658$	−0.367279	−	2.55448i	−0.0143180	−	0.0995842i
$659$	−29.5164	−	34.0637i	−1.14980	−	1.32693i	−0.936793	−	0.349883i	$-0.886221\pi$
$659$	−29.5164	−	34.0637i	−1.14980	−	1.32693i	−0.213002	−	0.977052i	$-0.568324\pi$
$660$	−2.77032	−	6.06616i	−0.107835	−	0.236125i
$661$	10.4107	−	6.69054i	0.404928	−	0.260232i	−0.322286	−	0.946642i	$-0.604451\pi$
$661$	10.4107	−	6.69054i	0.404928	−	0.260232i	0.727214	+	0.686411i	$0.240815\pi$
$662$	2.73442	−	19.0183i	0.106276	−	0.739168i
$663$	18.5077	+	11.8942i	0.718781	+	0.461933i
$664$	−4.24022	+	4.89347i	−0.164552	+	0.189904i
$665$	6.77782	+	1.99015i	0.262833	+	0.0771746i
$666$	−0.680925			−0.0263853
$667$	−8.66449	−	5.63784i	−0.335490	−	0.218298i
$668$	0.376997			0.0145865
$669$	1.96421	+	0.576745i	0.0759409	+	0.0222983i
$670$	−10.1111	+	11.6688i	−0.390625	+	0.450806i
$671$	−6.15683	−	3.95676i	−0.237682	−	0.152749i
$672$	0.142315	−	0.989821i	0.00548991	−	0.0381832i
$673$	34.1851	−	21.9694i	1.31774	−	0.846859i	0.322714	−	0.946496i	$-0.395405\pi$
$673$	34.1851	−	21.9694i	1.31774	−	0.846859i	0.995024	+	0.0996377i	$0.0317684\pi$
$674$	7.03479	+	15.4040i	0.270970	+	0.593341i
$675$	−2.58895	−	2.98780i	−0.0996486	−	0.115001i
$676$	−0.502095	−	3.49214i	−0.0193113	−	0.134313i
$677$	19.6221	−	42.9664i	0.754138	−	1.65133i	−0.00464634	−	0.999989i	$-0.501479\pi$
$677$	19.6221	−	42.9664i	0.754138	−	1.65133i	0.758784	−	0.651342i	$-0.225794\pi$
$678$	−5.32815	+	1.56449i	−0.204626	+	0.0600837i
$679$	−13.8860	+	4.07729i	−0.532895	+	0.156472i
$680$	6.72655	−	14.7291i	0.257952	−	0.564835i
$681$	3.06848	+	21.3417i	0.117584	+	0.817816i
$682$	−8.79912	−	10.1547i	−0.336936	−	0.388844i
$683$	7.70777	+	16.8777i	0.294930	+	0.645806i	0.997855	−	0.0654573i	$-0.0208506\pi$
$683$	7.70777	+	16.8777i	0.294930	+	0.645806i	−0.702926	+	0.711263i	$0.748123\pi$
$684$	1.98601	−	1.27633i	0.0759368	−	0.0488016i
$685$	1.87032	−	13.0083i	0.0714612	−	0.497023i
$686$	−0.841254	−	0.540641i	−0.0321192	−	0.0206418i
$687$	−12.5092	+	14.4364i	−0.477257	+	0.550784i
$688$	7.91479	+	2.32399i	0.301748	+	0.0886013i
$689$	−11.4963			−0.437975
$690$	9.45860	−	10.7918i	0.360083	−	0.410838i
$691$	25.3664			0.964983			0.482491	−	0.875901i	$-0.339732\pi$
$691$	25.3664			0.964983			0.482491	+	0.875901i	$0.339732\pi$
$692$	−23.1724	−	6.80404i	−0.880884	−	0.258651i
$693$	−1.45949	+	1.68434i	−0.0554416	+	0.0639830i
$694$	14.6273	+	9.40038i	0.555244	+	0.356833i
$695$	−5.72248	+	39.8007i	−0.217066	+	1.50973i
$696$	−1.81329	+	1.16533i	−0.0687327	+	0.0441718i
$697$	−17.5505	−	38.4303i	−0.664773	−	1.45565i
$698$	−2.81844	−	3.25266i	−0.106680	−	0.123115i
$699$	−0.790960	−	5.50125i	−0.0299169	−	0.208076i
$700$	1.64231	−	3.59617i	0.0620737	−	0.135922i
$701$	−5.00356	+	1.46918i	−0.188982	+	0.0554901i	−0.374854	−	0.927084i	$-0.622307\pi$
$701$	−5.00356	+	1.46918i	−0.188982	+	0.0554901i	0.185872	+	0.982574i	$0.440489\pi$
$702$	3.90079	−	1.14538i	0.147226	−	0.0432294i
$703$	0.667782	−	1.46224i	0.0251859	−	0.0551494i
$704$	−0.317178	−	2.20602i	−0.0119541	−	0.0831426i
$705$	−5.05697	−	5.83605i	−0.190456	−	0.219798i
$706$	4.85406	+	10.6289i	0.182685	+	0.400024i
$707$	−12.2719	+	7.88666i	−0.461531	+	0.296608i
$708$	1.80658	−	12.5651i	0.0678955	−	0.472224i
$709$	−11.6292	−	7.47363i	−0.436743	−	0.280678i	0.303737	−	0.952756i	$-0.401766\pi$
$709$	−11.6292	−	7.47363i	−0.436743	−	0.280678i	−0.740480	+	0.672078i	$0.765402\pi$
$710$	1.11274	−	1.28417i	0.0417604	−	0.0481941i
$711$	3.52709	+	1.03565i	0.132276	+	0.0388398i
$712$	14.7221			0.551733
$713$	12.1597	−	26.2323i	0.455385	−	0.982407i
$714$	−5.41148			−0.202519
$715$	26.0136	+	7.63828i	0.972854	+	0.285656i
$716$	13.7496	−	15.8679i	0.513847	−	0.593011i
$717$	−12.8262	−	8.24293i	−0.479005	−	0.307838i
$718$	1.09230	−	7.59709i	0.0407641	−	0.283521i
$719$	−42.4301	+	27.2682i	−1.58238	+	1.01693i	−0.607464	+	0.794347i	$0.707813\pi$
$719$	−42.4301	+	27.2682i	−1.58238	+	1.01693i	−0.974913	+	0.222585i	$0.928551\pi$
$720$	−1.24302	−	2.72183i	−0.0463245	−	0.101436i
$721$	1.72143	+	1.98663i	0.0641093	+	0.0739860i
$722$	−1.91083	−	13.2901i	−0.0711137	−	0.494606i
$723$	−6.68227	+	14.6321i	−0.248516	+	0.544175i
$724$	−5.46129	+	1.60358i	−0.202967	+	0.0595966i
$725$	−8.17630	+	2.40078i	−0.303660	+	0.0891627i
$726$	2.50614	−	5.48769i	0.0930117	−	0.203667i
$727$	1.29313	+	8.99389i	0.0479594	+	0.333565i	0.999649	+	0.0265025i	$0.00843699\pi$
$727$	1.29313	+	8.99389i	0.0479594	+	0.333565i	−0.951689	+	0.307063i	$0.900654\pi$
$728$	2.66232	+	3.07248i	0.0986720	+	0.113874i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	22.4807	−	14.4475i	0.832047	−	0.534724i
$731$	6.35277	−	44.1845i	0.234966	−	1.63422i
$732$	−2.76251	−	1.77536i	−0.102105	−	0.0656192i
$733$	28.4964	−	32.8866i	1.05254	−	1.21469i	0.0765062	−	0.997069i	$-0.475624\pi$
$733$	28.4964	−	32.8866i	1.05254	−	1.21469i	0.976032	−	0.217625i	$-0.0698310\pi$
$734$	29.6110	+	8.69456i	1.09296	+	0.320922i
$735$	−2.99223			−0.110370
$736$	4.04911	−	2.56996i	0.149252	−	0.0947299i
$737$	11.5002			0.423617
$738$	−7.49090	−	2.19953i	−0.275744	−	0.0809657i
$739$	−12.3914	+	14.3004i	−0.455823	+	0.526048i	−0.936414	−	0.350897i	$-0.885877\pi$
$739$	−12.3914	+	14.3004i	−0.455823	+	0.526048i	0.480591	+	0.876945i	$0.340422\pi$
$740$	−1.71404	−	1.10155i	−0.0630093	−	0.0404936i
$741$	−1.36589	+	9.49995i	−0.0501771	+	0.348989i
$742$	2.37889	−	1.52882i	0.0873318	−	0.0561248i
$743$	−4.97154	−	10.8862i	−0.182388	−	0.399374i	0.796249	−	0.604969i	$-0.206814\pi$
$743$	−4.97154	−	10.8862i	−0.182388	−	0.399374i	−0.978637	+	0.205595i	$0.934087\pi$
$744$	−3.94808	−	4.55633i	−0.144744	−	0.167043i
$745$	3.18192	+	22.1308i	0.116577	+	0.810808i
$746$	−13.7542	+	30.1175i	−0.503577	+	1.10268i
$747$	6.21271	−	1.82422i	0.227311	−	0.0667446i
$748$	−11.5721	+	3.39786i	−0.423116	+	0.124238i
$749$	0.656469	−	1.43747i	0.0239868	−	0.0525239i
$750$	0.445669	+	3.09970i	0.0162735	+	0.113185i
$751$	7.70583	+	8.89300i	0.281190	+	0.324510i	0.878721	−	0.477335i	$-0.158397\pi$
$751$	7.70583	+	8.89300i	0.281190	+	0.324510i	−0.597532	+	0.801845i	$0.703852\pi$
$752$	−1.07208	−	2.34754i	−0.0390949	−	0.0856058i
$753$	−9.33526	+	5.99940i	−0.340196	+	0.218630i
$754$	1.24710	−	8.67379i	0.0454168	−	0.315881i
$755$	46.3036	+	29.7575i	1.68516	+	1.08299i
$756$	−0.654861	+	0.755750i	−0.0238171	+	0.0274863i
$757$	9.94749	+	2.92085i	0.361548	+	0.106160i	0.457461	−	0.889230i	$-0.348759\pi$
$757$	9.94749	+	2.92085i	0.361548	+	0.106160i	−0.0959133	+	0.995390i	$0.530577\pi$
$758$	−21.6422			−0.786078
$759$	−10.6883	−	0.0604677i	−0.387962	−	0.00219484i
$760$	7.06396			0.256237
$761$	−17.8069	−	5.22857i	−0.645499	−	0.189536i	−0.0574342	−	0.998349i	$-0.518292\pi$
$761$	−17.8069	−	5.22857i	−0.645499	−	0.189536i	−0.588065	+	0.808814i	$0.700110\pi$
$762$	6.26113	−	7.22573i	0.226817	−	0.261760i
$763$	−9.90626	−	6.36637i	−0.358631	−	0.230478i
$764$	−0.0966419	+	0.672159i	−0.00349638	+	0.0243179i
$765$	−13.6219	+	8.75426i	−0.492501	+	0.316511i
$766$	5.96093	+	13.0526i	0.215377	+	0.471611i
$767$	33.7962	+	39.0029i	1.22031	+	1.40831i
$768$	−0.142315	−	0.989821i	−0.00513534	−	0.0357171i
$769$	−12.0732	+	26.4366i	−0.435371	+	0.953330i	0.557054	+	0.830476i	$0.311932\pi$
$769$	−12.0732	+	26.4366i	−0.435371	+	0.953330i	−0.992425	+	0.122853i	$0.960796\pi$
$770$	−6.39867	+	1.87882i	−0.230592	+	0.0677079i
$771$	−7.47811	+	2.19577i	−0.269317	+	0.0790787i
$772$	4.17613	−	9.14444i	0.150302	−	0.329116i
$773$	7.08983	+	49.3108i	0.255003	+	1.77359i	0.567210	+	0.823573i	$0.308023\pi$
$773$	7.08983	+	49.3108i	0.255003	+	1.77359i	−0.312207	+	0.950014i	$0.601068\pi$
$774$	−5.40190	−	6.23412i	−0.194167	−	0.224081i
$775$	−9.90133	−	21.6809i	−0.355666	−	0.778800i
$776$	−12.1748	+	7.82427i	−0.437050	+	0.280875i
$777$	−0.0969057	+	0.673994i	−0.00347647	+	0.0241794i
$778$	−3.65884	−	2.35140i	−0.131176	−	0.0843016i
$779$	12.0696	−	13.9291i	0.432440	−	0.499062i
$780$	11.6721	+	3.42723i	0.417927	+	0.122714i
$781$	−1.26562			−0.0452875
$782$	−16.8841	−	19.7094i	−0.603773	−	0.704808i
$783$	2.15546			0.0770300
$784$	−0.959493	−	0.281733i	−0.0342676	−	0.0100619i
$785$	−35.2542	+	40.6855i	−1.25828	+	1.45213i
$786$	17.8782	+	11.4896i	0.637695	+	0.409822i
$787$	0.393656	−	2.73794i	0.0140323	−	0.0975969i	−0.981602	−	0.190940i	$-0.938846\pi$
$787$	0.393656	−	2.73794i	0.0140323	−	0.0975969i	0.995634	+	0.0933433i	$0.0297554\pi$
$788$	−20.0458	+	12.8826i	−0.714101	+	0.458925i
$789$	0.481858	+	1.05512i	0.0171546	+	0.0375634i
$790$	7.20309	+	8.31280i	0.256274	+	0.295756i
$791$	0.790287	+	5.49656i	0.0280994	+	0.195435i
$792$	−0.925839	+	2.02730i	−0.0328982	+	0.0720371i
$793$	12.8094	−	3.76119i	0.454876	−	0.133564i
$794$	11.9105	−	3.49723i	0.422686	−	0.124112i
$795$	3.51499	−	7.69676i	0.124664	−	0.272976i
$796$	0.786759	+	5.47203i	0.0278859	+	0.193951i
$797$	6.59351	+	7.60932i	0.233554	+	0.269536i	0.860413	−	0.509597i	$-0.170205\pi$
$797$	6.59351	+	7.60932i	0.233554	+	0.269536i	−0.626859	+	0.779132i	$0.715660\pi$
$798$	−0.980699	−	2.14743i	−0.0347164	−	0.0760182i
$799$	−11.7487	+	7.55042i	−0.415638	+	0.267115i
$800$	0.562632	−	3.91319i	0.0198920	−	0.138352i
$801$	−12.3850	−	7.95935i	−0.437602	−	0.281230i
$802$	7.50473	−	8.66093i	0.265001	−	0.305828i
$803$	−19.0978	−	5.60761i	−0.673946	−	0.197888i
$804$	5.16005			0.181981
$805$	−9.33589	−	10.8982i	−0.329047	−	0.384110i
$806$	24.5103			0.863337
$807$	11.7506	+	3.45030i	0.413642	+	0.121456i
$808$	−9.55285	+	11.0246i	−0.336068	+	0.387843i
$809$	3.51824	+	2.26104i	0.123695	+	0.0794938i	0.601025	−	0.799230i	$-0.294759\pi$
$809$	3.51824	+	2.26104i	0.123695	+	0.0794938i	−0.477330	+	0.878724i	$0.658396\pi$
$810$	−0.425839	+	2.96177i	−0.0149624	+	0.104066i
$811$	46.2487	−	29.7222i	1.62401	−	1.04369i	0.670688	−	0.741739i	$-0.265999\pi$
$811$	46.2487	−	29.7222i	1.62401	−	1.04369i	0.953324	−	0.301950i	$-0.0976376\pi$
$812$	0.895412	+	1.96068i	0.0314228	+	0.0688064i
$813$	−15.8508	−	18.2928i	−0.555912	−	0.641556i
$814$	0.215974	+	1.50214i	0.00756990	+	0.0526498i
$815$	3.42623	−	7.50239i	0.120015	−	0.262797i
$816$	−5.19227	+	1.52459i	−0.181766	+	0.0533713i
$817$	18.6850	−	5.48641i	0.653705	−	0.191945i
$818$	−2.12568	+	4.65459i	−0.0743226	+	0.162744i
$819$	−0.578577	−	4.02409i	−0.0202171	−	0.140613i
$820$	−15.2980	−	17.6549i	−0.534231	−	0.616535i
$821$	−19.7739	−	43.2987i	−0.690112	−	1.51113i	−0.851562	−	0.524254i	$-0.824344\pi$
$821$	−19.7739	−	43.2987i	−0.690112	−	1.51113i	0.161450	−	0.986881i	$-0.448383\pi$
$822$	−3.69486	+	2.37454i	−0.128873	+	0.0828216i
$823$	1.53936	−	10.7065i	0.0536588	−	0.373205i	−0.945244	−	0.326365i	$-0.894176\pi$
$823$	1.53936	−	10.7065i	0.0536588	−	0.373205i	0.998902	−	0.0468394i	$-0.0149149\pi$
$824$	2.21139	+	1.42118i	0.0770376	+	0.0495091i
$825$	−5.77001	+	6.65894i	−0.200886	+	0.231835i
$826$	−12.1801	−	3.57639i	−0.423799	−	0.124438i
$827$	−48.7735			−1.69602			−0.848010	−	0.529980i	$-0.822200\pi$
$827$	−48.7735			−1.69602			−0.848010	+	0.529980i	$0.822200\pi$
$828$	−4.79575	−	0.0271313i	−0.166664	−	0.000942878i
$829$	−4.11759			−0.143010			−0.0715048	−	0.997440i	$-0.522780\pi$
$829$	−4.11759			−0.143010			−0.0715048	+	0.997440i	$0.522780\pi$
$830$	18.5898	+	5.45847i	0.645263	+	0.189466i
$831$	6.82934	−	7.88148i	0.236907	−	0.273405i
$832$	3.42009	+	2.19796i	0.118570	+	0.0762005i
$833$	−0.770133	+	5.35640i	−0.0266835	+	0.185588i
$834$	11.3049	−	7.26521i	0.391456	−	0.251574i
$835$	−0.468614	−	1.02612i	−0.0162171	−	0.0355104i
$836$	−3.44553	−	3.97635i	−0.119166	−	0.137525i
$837$	0.858000	+	5.96752i	0.0296568	+	0.206268i
$838$	10.5975	−	23.2052i	0.366083	−	0.801610i
$839$	−54.4085	+	15.9758i	−1.87839	+	0.551545i	−0.881551	+	0.472090i	$0.843500\pi$
$839$	−54.4085	+	15.9758i	−1.87839	+	0.551545i	−0.996838	+	0.0794552i	$0.974682\pi$
$840$	−2.87102	+	0.843008i	−0.0990597	+	0.0290865i
$841$	−10.1170	+	22.1532i	−0.348862	+	0.763902i
$842$	2.17641	+	15.1373i	0.0750041	+	0.521665i
$843$	−14.4502	−	16.6764i	−0.497691	−	0.574366i
$844$	−3.92192	−	8.58780i	−0.134998	−	0.295604i
$845$	−8.88090	+	5.70741i	−0.305512	+	0.196341i
$846$	−0.367279	+	2.55448i	−0.0126273	+	0.0878250i
$847$	−5.07517	−	3.26161i	−0.174385	−	0.112070i
$848$	1.85181	−	2.13710i	0.0635914	−	0.0733884i
$849$	−21.9826	−	6.45468i	−0.754442	−	0.221524i
$850$	−21.3939			−0.733805
$851$	−2.75714	+	1.74995i	−0.0945136	+	0.0599874i
$852$	−0.567872			−0.0194550
$853$	−0.512852	−	0.150587i	−0.0175597	−	0.00515600i	0.272941	−	0.962031i	$-0.412004\pi$
$853$	−0.512852	−	0.150587i	−0.0175597	−	0.00515600i	−0.290501	+	0.956875i	$0.593822\pi$
$854$	−2.15044	+	2.48173i	−0.0735864	+	0.0849232i
$855$	−5.94258	−	3.81907i	−0.203232	−	0.130609i
$856$	0.224896	−	1.56419i	0.00768679	−	0.0534628i
$857$	−30.7169	+	19.7406i	−1.04927	+	0.674325i	−0.947262	−	0.320459i	$-0.896163\pi$
$857$	−30.7169	+	19.7406i	−1.04927	+	0.674325i	−0.102007	+	0.994784i	$0.532526\pi$
$858$	−3.76397	−	8.24194i	−0.128500	−	0.281375i
$859$	−23.8601	−	27.5360i	−0.814096	−	0.939517i	0.184969	−	0.982744i	$-0.440781\pi$
$859$	−23.8601	−	27.5360i	−0.814096	−	0.939517i	−0.999065	+	0.0432274i	$0.986236\pi$
$860$	−3.51271	−	24.4314i	−0.119782	−	0.833105i
$861$	−3.24320	+	7.10163i	−0.110528	+	0.242023i
$862$	4.34303	−	1.27523i	0.147924	−	0.0434344i
$863$	1.07699	−	0.316233i	0.0366612	−	0.0107647i	−0.263351	−	0.964700i	$-0.584828\pi$
$863$	1.07699	−	0.316233i	0.0366612	−	0.0107647i	0.300012	+	0.953936i	$0.403009\pi$
$864$	−0.415415	+	0.909632i	−0.0141327	+	0.0309463i
$865$	10.2843	+	71.5289i	0.349677	+	2.43206i
$866$	19.1415	+	22.0905i	0.650455	+	0.750665i
$867$	5.10299	+	11.1740i	0.173307	+	0.379488i
$868$	−5.07182	+	3.25946i	−0.172149	+	0.110633i
$869$	1.16595	−	8.10933i	0.0395520	−	0.275090i
$870$	5.42579	+	3.48694i	0.183951	+	0.118218i
$871$	−13.7377	+	15.8541i	−0.465484	+	0.537197i
$872$	−11.2986	−	3.31757i	−0.382619	−	0.112347i
$873$	14.4722			0.489810
$874$	4.76145	−	10.2719i	0.161059	−	0.347454i
$875$	3.13157			0.105866
$876$	−8.56899	−	2.51608i	−0.289519	−	0.0850105i
$877$	37.1246	−	42.8440i	1.25361	−	1.44674i	0.407958	−	0.913001i	$-0.366241\pi$
$877$	37.1246	−	42.8440i	1.25361	−	1.44674i	0.845649	−	0.533739i	$-0.179214\pi$
$878$	−22.1626	−	14.2430i	−0.747951	−	0.480679i
$879$	−2.96520	+	20.6234i	−0.100014	+	0.695610i
$880$	−5.61015	+	3.60543i	−0.189118	+	0.121539i
$881$	−1.69607	−	3.71387i	−0.0571419	−	0.125123i	0.878907	−	0.476993i	$-0.158273\pi$
$881$	−1.69607	−	3.71387i	−0.0571419	−	0.125123i	−0.936049	+	0.351870i	$0.885546\pi$
$882$	0.654861	+	0.755750i	0.0220503	+	0.0254474i
$883$	7.01450	+	48.7869i	0.236057	+	1.64181i	0.671076	+	0.741389i	$0.265832\pi$
$883$	7.01450	+	48.7869i	0.236057	+	1.64181i	−0.435019	+	0.900421i	$0.643258\pi$
$884$	9.13921	−	20.0121i	0.307385	−	0.673079i
$885$	−36.4455	+	10.7014i	−1.22510	+	0.359723i
$886$	−1.11448	+	0.327241i	−0.0374417	+	0.0109939i
$887$	−21.5415	+	47.1693i	−0.723292	+	1.58379i	0.0859395	+	0.996300i	$0.472611\pi$
$887$	−21.5415	+	47.1693i	−0.723292	+	1.58379i	−0.809232	+	0.587489i	$0.800116\pi$
$888$	0.0969057	+	0.673994i	0.00325194	+	0.0226178i
$889$	−6.26113	−	7.22573i	−0.209991	−	0.242343i
$890$	−18.2998	−	40.0709i	−0.613410	−	1.34318i
$891$	1.87491	−	1.20493i	0.0628118	−	0.0403667i
$892$	0.291338	−	2.02630i	0.00975472	−	0.0678456i
$893$	−5.12539	−	3.29389i	−0.171515	−	0.110226i
$894$	4.89321	−	5.64706i	0.163653	−	0.188866i
$895$	−60.2806	−	17.7000i	−2.01496	−	0.591645i
$896$	−1.00000			−0.0334077
$897$	12.8512	−	14.6626i	0.429088	−	0.489571i
$898$	−33.8505			−1.12961
$899$	12.4687	+	3.66113i	0.415853	+	0.122105i
$900$	−2.58895	+	2.98780i	−0.0862982	+	0.0995935i
$901$	−12.8733	−	8.27318i	−0.428872	−	0.275619i
$902$	−2.47625	+	17.2227i	−0.0824503	+	0.573454i
$903$	−6.93944	+	4.45971i	−0.230930	+	0.148410i
$904$	2.30684	+	5.05127i	0.0767242	+	0.168003i
$905$	11.1531	+	12.8714i	0.370743	+	0.427860i
$906$	−2.61784	−	18.2075i	−0.0869720	−	0.604903i
$907$	−21.6340	+	47.3718i	−0.718344	+	1.57295i	0.0978666	+	0.995200i	$0.468798\pi$
$907$	−21.6340	+	47.3718i	−0.718344	+	1.57295i	−0.816211	+	0.577754i	$0.803929\pi$
$908$	20.6878	−	6.07449i	0.686549	−	0.201589i
$909$	13.9967	−	4.10980i	0.464242	−	0.136314i
$910$	5.05345	−	11.0655i	0.167520	−	0.366818i
$911$	1.12988	+	7.85848i	0.0374346	+	0.260363i	0.999941	−	0.0108971i	$-0.00346871\pi$
$911$	1.12988	+	7.85848i	0.0374346	+	0.260363i	−0.962506	+	0.271260i	$0.912560\pi$
$912$	−1.54598	−	1.78415i	−0.0511924	−	0.0590791i
$913$	−5.99480	−	13.1268i	−0.198399	−	0.434433i
$914$	7.37694	−	4.74087i	0.244007	−	0.156814i
$915$	−1.39837	+	9.72588i	−0.0462287	+	0.321528i
$916$	16.0697	+	10.3274i	0.530959	+	0.341227i
$917$	13.9170	−	16.0611i	0.459581	−	0.530385i
$918$	5.19227	+	1.52459i	0.171371	+	0.0503189i
$919$	28.4951			0.939966			0.469983	−	0.882675i	$-0.344260\pi$
$919$	28.4951			0.939966			0.469983	+	0.882675i	$0.344260\pi$
$920$	−12.0281	−	7.82649i	−0.396554	−	0.258032i
$921$	−26.6885			−0.879416
$922$	−3.45635	−	1.01487i	−0.113829	−	0.0334231i
$923$	1.51186	−	1.74477i	0.0497633	−	0.0574299i
$924$	1.87491	+	1.20493i	0.0616799	+	0.0396393i
$925$	−0.383110	+	2.66459i	−0.0125966	+	0.0876111i
$926$	−7.72757	+	4.96620i	−0.253944	+	0.163200i
$927$	−1.09200	−	2.39114i	−0.0358659	−	0.0785354i
$928$	1.41153	+	1.62899i	0.0463357	+	0.0534743i
$929$	2.01977	+	14.0478i	0.0662665	+	0.460894i	0.995755	+	0.0920428i	$0.0293397\pi$
$929$	2.01977	+	14.0478i	0.0662665	+	0.460894i	−0.929489	+	0.368851i	$0.879751\pi$
$930$	−7.49401	+	16.4096i	−0.245738	+	0.538091i
$931$	−2.26514	+	0.665106i	−0.0742370	+	0.0217980i
$932$	−5.33269	+	1.56582i	−0.174678	+	0.0512901i
$933$	−14.3495	+	31.4211i	−0.469783	+	1.02868i
$934$	−2.76454	−	19.2278i	−0.0904586	−	0.629154i
$935$	23.6327	+	27.2735i	0.772870	+	0.891940i
$936$	−1.68886	−	3.69808i	−0.0552020	−	0.120876i
$937$	26.5770	−	17.0800i	0.868231	−	0.557978i	−0.0289800	−	0.999580i	$-0.509226\pi$
$937$	26.5770	−	17.0800i	0.868231	−	0.557978i	0.897211	+	0.441602i	$0.145590\pi$
$938$	0.734352	−	5.10753i	0.0239774	−	0.166767i
$939$	4.33636	+	2.78681i	0.141512	+	0.0909441i
$940$	−5.05697	+	5.83605i	−0.164940	+	0.190351i
$941$	−7.06500	−	2.07447i	−0.230312	−	0.0676258i	0.164540	−	0.986370i	$-0.447386\pi$
$941$	−7.06500	−	2.07447i	−0.230312	−	0.0676258i	−0.394852	+	0.918745i	$0.629204\pi$
$942$	17.9915			0.586194
$943$	−35.9842	+	10.3451i	−1.17181	+	0.336884i
$944$	−12.6943			−0.413163
$945$	2.87102	+	0.843008i	0.0933944	+	0.0274231i
$946$	−12.0392	+	13.8940i	−0.391430	+	0.451734i
$947$	−5.82399	−	3.74285i	−0.189254	−	0.121626i	0.442582	−	0.896728i	$-0.354062\pi$
$947$	−5.82399	−	3.74285i	−0.189254	−	0.121626i	−0.631837	+	0.775101i	$0.717699\pi$
$948$	0.523149	−	3.63858i	0.0169911	−	0.118176i
$949$	30.5440	−	19.6294i	0.991499	−	0.637198i
$950$	−3.87713	−	8.48972i	−0.125791	−	0.275443i
$951$	−15.7334	−	18.1573i	−0.510189	−	0.588789i
$952$	0.770133	+	5.35640i	0.0249602	+	0.173602i
$953$	−21.7712	+	47.6722i	−0.705237	+	1.54425i	0.128267	+	0.991740i	$0.459059\pi$
$953$	−21.7712	+	47.6722i	−0.705237	+	1.54425i	−0.833504	+	0.552514i	$0.813669\pi$
$954$	−2.71325	+	0.796681i	−0.0878446	+	0.0257935i
$955$	1.94963	−	0.572462i	0.0630885	−	0.0185245i
$956$	−6.33366	+	13.8688i	−0.204845	+	0.448549i
$957$	−0.683666	−	4.75500i	−0.0220998	−	0.153707i
$958$	−16.7143	−	19.2893i	−0.540013	−	0.623208i
$959$	1.82454	+	3.99518i	0.0589174	+	0.129011i
$960$	−2.51722	+	1.61772i	−0.0812430	+	0.0522117i
$961$	−0.761024	+	5.29304i	−0.0245492	+	0.170743i
$962$	−2.32882	−	1.49664i	−0.0750843	−	0.0482538i
$963$	−1.03486	+	1.19429i	−0.0333478	+	0.0384854i
$964$	15.4342	+	4.53188i	0.497101	+	0.145962i
$965$	−30.0806			−0.968328
$966$	−0.709362	+	4.74308i	−0.0228234	+	0.152606i
$967$	−36.3040			−1.16746			−0.583728	−	0.811949i	$-0.698407\pi$
$967$	−36.3040			−1.16746			−0.583728	+	0.811949i	$0.698407\pi$
$968$	−5.78849	−	1.69965i	−0.186049	−	0.0546289i
$969$	−8.36601	+	9.65489i	−0.268755	+	0.310160i
$970$	36.4298	+	23.4120i	1.16969	+	0.751714i
$971$	−4.69445	+	32.6506i	−0.150652	+	1.04781i	0.764478	+	0.644650i	$0.222997\pi$
$971$	−4.69445	+	32.6506i	−0.150652	+	1.04781i	−0.915130	+	0.403159i	$0.867912\pi$
$972$	0.841254	−	0.540641i	0.0269832	−	0.0173411i
$973$	−5.58241	−	12.2238i	−0.178964	−	0.391876i
$974$	−6.62168	−	7.64182i	−0.212172	−	0.244860i
$975$	−2.28736	−	15.9090i	−0.0732543	−	0.509495i
$976$	−1.36414	+	2.98705i	−0.0436651	+	0.0956133i
$977$	7.22700	−	2.12204i	0.231212	−	0.0678900i	−0.164074	−	0.986448i	$-0.552464\pi$
$977$	7.22700	−	2.12204i	0.231212	−	0.0678900i	0.395286	+	0.918558i	$0.370645\pi$
$978$	−2.64473	+	0.776562i	−0.0845690	+	0.0248317i
$979$	−13.6303	+	29.8461i	−0.435625	+	0.953885i
$980$	0.425839	+	2.96177i	0.0136029	+	0.0946103i
$981$	7.71137	+	8.89940i	0.246205	+	0.284136i
$982$	16.0031	+	35.0419i	0.510680	+	1.11823i
$983$	35.3149	−	22.6955i	1.12637	−	0.723875i	0.161571	−	0.986861i	$-0.448344\pi$
$983$	35.3149	−	22.6955i	1.12637	−	0.723875i	0.964800	+	0.262986i	$0.0847074\pi$
$984$	−1.11107	+	7.72768i	−0.0354197	+	0.246349i
$985$	59.9815	+	38.5478i	1.91117	+	1.22823i
$986$	7.63846	−	8.81525i	0.243258	−	0.280735i
$987$	2.47621	+	0.727082i	0.0788188	+	0.0231433i
$988$	9.59764			0.305342
$989$	−37.8943	−	11.3600i	−1.20497	−	0.361228i
$990$	6.66880			0.211948
$991$	−6.63233	−	1.94743i	−0.210683	−	0.0618621i	0.174688	−	0.984624i	$-0.444108\pi$
$991$	−6.63233	−	1.94743i	−0.210683	−	0.0618621i	−0.385371	+	0.922762i	$0.625927\pi$
$992$	−3.94808	+	4.55633i	−0.125352	+	0.144664i
$993$	16.1638	+	10.3878i	0.512941	+	0.329647i
$994$	−0.0808166	+	0.562092i	−0.00256335	+	0.0178285i
$995$	13.9160	−	8.94325i	0.441166	−	0.283520i
$996$	−2.68981	−	5.88986i	−0.0852298	−	0.186627i
$997$	−30.8472	−	35.5996i	−0.976941	−	1.12745i	−0.991831	−	0.127561i	$-0.959285\pi$
$997$	−30.8472	−	35.5996i	−0.976941	−	1.12745i	0.0148895	−	0.999889i	$-0.495260\pi$
$998$	−2.86975	−	19.9595i	−0.0908403	−	0.631808i
$999$	0.282866	−	0.619391i	0.00894949	−	0.0195967i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.c.547.1	✓	10
23.9	even	11	inner	966.2.q.c.883.1	yes	10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.c.547.1	✓	10	1.1	even	1	trivial
966.2.q.c.883.1	yes	10	23.9	even	11	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.425839 - 2.96177i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(0.415415 + 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.425839 - 2.96177i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(0.415415 + 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(1.24302 - 2.72183i) q^{10} +(-2.13843 + 0.627899i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(1.68886 - 3.69808i) q^{13} +(0.142315 + 0.989821i) q^{14} +(1.95949 + 2.26138i) q^{15} +(0.415415 + 0.909632i) q^{16} +(4.55242 - 2.92566i) q^{17} +(0.142315 - 0.989821i) q^{18} +(1.98601 + 1.27633i) q^{19} +(1.95949 - 2.26138i) q^{20} +(-0.959493 - 0.281733i) q^{21} -2.22871 q^{22} +(-1.96755 - 4.37364i) q^{23} -1.00000 q^{24} +(-3.79329 - 1.11381i) q^{25} +(2.66232 - 3.07248i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-0.142315 + 0.989821i) q^{28} +(1.81329 - 1.16533i) q^{29} +(1.24302 + 2.72183i) q^{30} +(3.94808 + 4.55633i) q^{31} +(0.142315 + 0.989821i) q^{32} +(0.925839 - 2.02730i) q^{33} +(5.19227 - 1.52459i) q^{34} +(2.87102 - 0.843008i) q^{35} +(0.415415 - 0.909632i) q^{36} +(-0.0969057 - 0.673994i) q^{37} +(1.54598 + 1.78415i) q^{38} +(1.68886 + 3.69808i) q^{39} +(2.51722 - 1.61772i) q^{40} +(1.11107 - 7.72768i) q^{41} +(-0.841254 - 0.540641i) q^{42} +(5.40190 - 6.23412i) q^{43} +(-2.13843 - 0.627899i) q^{44} -2.99223 q^{45} +(-0.655652 - 4.75080i) q^{46} -2.58075 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(-3.32584 - 2.13739i) q^{50} +(-0.770133 + 5.35640i) q^{51} +(3.42009 - 2.19796i) q^{52} +(-1.17471 - 2.57225i) q^{53} +(0.654861 + 0.755750i) q^{54} +(0.949069 + 6.60092i) q^{55} +(-0.415415 + 0.909632i) q^{56} +(-2.26514 + 0.665106i) q^{57} +(2.06815 - 0.607265i) q^{58} +(-5.27339 + 11.5471i) q^{59} +(0.425839 + 2.96177i) q^{60} +(2.15044 + 2.48173i) q^{61} +(2.50449 + 5.48407i) q^{62} +(0.841254 - 0.540641i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-10.2337 - 6.57680i) q^{65} +(1.45949 - 1.68434i) q^{66} +(-4.95103 - 1.45375i) q^{67} +5.41148 q^{68} +(4.59385 + 1.37715i) q^{69} +2.99223 q^{70} +(0.544869 + 0.159988i) q^{71} +(0.654861 - 0.755750i) q^{72} +(7.51302 + 4.82833i) q^{73} +(0.0969057 - 0.673994i) q^{74} +(3.32584 - 2.13739i) q^{75} +(0.980699 + 2.14743i) q^{76} +(-1.45949 - 1.68434i) q^{77} +(0.578577 + 4.02409i) q^{78} +(-1.52706 + 3.34380i) q^{79} +(2.87102 - 0.843008i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(3.24320 - 7.10163i) q^{82} +(0.921487 + 6.40908i) q^{83} +(-0.654861 - 0.755750i) q^{84} +(-6.72655 - 14.7291i) q^{85} +(6.93944 - 4.45971i) q^{86} +(-0.306755 + 2.13353i) q^{87} +(-1.87491 - 1.20493i) q^{88} +(9.64090 - 11.1262i) q^{89} +(-2.87102 - 0.843008i) q^{90} +4.06547 q^{91} +(0.709362 - 4.74308i) q^{92} -6.02889 q^{93} +(-2.47621 - 0.727082i) q^{94} +(4.62591 - 5.33859i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(-2.05961 + 14.3249i) q^{97} +(-0.841254 + 0.540641i) q^{98} +(0.925839 + 2.02730i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + q^{2} - q^{3} - q^{4} + q^{6} - q^{7} + q^{8} - q^{9}+O(q^{10}) \) 10 * q + q^2 - q^3 - q^4 + q^6 - q^7 + q^8 - q^9	\( 10 q + q^{2} - q^{3} - q^{4} + q^{6} - q^{7} + q^{8} - q^{9} - 6 q^{11} - q^{12} - 2 q^{13} + q^{14} + 11 q^{15} - q^{16} - 5 q^{17} + q^{18} + 31 q^{19} + 11 q^{20} - q^{21} + 6 q^{22} - q^{23} - 10 q^{24} - 17 q^{25} + 24 q^{26} - q^{27} - q^{28} - 5 q^{29} + 3 q^{31} + q^{32} + 5 q^{33} + 16 q^{34} - q^{36} + 14 q^{37} - 9 q^{38} - 2 q^{39} + 11 q^{40} - 28 q^{41} + q^{42} + 9 q^{43} - 6 q^{44} + 23 q^{46} - 44 q^{47} - q^{48} - q^{49} - 5 q^{50} - 5 q^{51} + 20 q^{52} + q^{53} + q^{54} + q^{56} - 2 q^{57} + 16 q^{58} - 11 q^{59} - 41 q^{61} + 30 q^{62} - q^{63} - q^{64} + 11 q^{65} + 6 q^{66} - 12 q^{67} + 6 q^{68} + 21 q^{69} - 22 q^{71} + q^{72} + 19 q^{73} - 14 q^{74} + 5 q^{75} - 24 q^{76} - 6 q^{77} + 2 q^{78} + 3 q^{79} - q^{81} + 6 q^{82} - 39 q^{83} - q^{84} + 22 q^{85} + 35 q^{86} + 6 q^{87} - 5 q^{88} - 17 q^{89} - 2 q^{91} - q^{92} - 8 q^{93} + 11 q^{94} + q^{96} - 12 q^{97} + q^{98} + 5 q^{99}+O(q^{100}) \) 10 * q + q^2 - q^3 - q^4 + q^6 - q^7 + q^8 - q^9 - 6 * q^11 - q^12 - 2 * q^13 + q^14 + 11 * q^15 - q^16 - 5 * q^17 + q^18 + 31 * q^19 + 11 * q^20 - q^21 + 6 * q^22 - q^23 - 10 * q^24 - 17 * q^25 + 24 * q^26 - q^27 - q^28 - 5 * q^29 + 3 * q^31 + q^32 + 5 * q^33 + 16 * q^34 - q^36 + 14 * q^37 - 9 * q^38 - 2 * q^39 + 11 * q^40 - 28 * q^41 + q^42 + 9 * q^43 - 6 * q^44 + 23 * q^46 - 44 * q^47 - q^48 - q^49 - 5 * q^50 - 5 * q^51 + 20 * q^52 + q^53 + q^54 + q^56 - 2 * q^57 + 16 * q^58 - 11 * q^59 - 41 * q^61 + 30 * q^62 - q^63 - q^64 + 11 * q^65 + 6 * q^66 - 12 * q^67 + 6 * q^68 + 21 * q^69 - 22 * q^71 + q^72 + 19 * q^73 - 14 * q^74 + 5 * q^75 - 24 * q^76 - 6 * q^77 + 2 * q^78 + 3 * q^79 - q^81 + 6 * q^82 - 39 * q^83 - q^84 + 22 * q^85 + 35 * q^86 + 6 * q^87 - 5 * q^88 - 17 * q^89 - 2 * q^91 - q^92 - 8 * q^93 + 11 * q^94 + q^96 - 12 * q^97 + q^98 + 5 * q^99

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