LMFDB - Embedded newform 966.2.q.f.547.3

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:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			547.3
Character	$\chi$	$=$	966.547
Dual form			966.2.q.f.883.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.168329 - 1.17076i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.168329 - 1.17076i) 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} +(0.491350 - 1.07591i) q^{10} +(-0.606786 + 0.178169i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(0.134979 - 0.295563i) q^{13} +(-0.142315 - 0.989821i) q^{14} +(0.774566 + 0.893896i) q^{15} +(0.415415 + 0.909632i) q^{16} +(4.22246 - 2.71361i) q^{17} +(0.142315 - 0.989821i) q^{18} +(6.35967 + 4.08711i) q^{19} +(0.774566 - 0.893896i) q^{20} +(0.959493 + 0.281733i) q^{21} -0.632403 q^{22} +(4.26901 + 2.18530i) q^{23} -1.00000 q^{24} +(3.45513 + 1.01452i) q^{25} +(0.212781 - 0.245563i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.142315 - 0.989821i) q^{28} +(5.56664 - 3.57746i) q^{29} +(0.491350 + 1.07591i) q^{30} +(-4.92032 - 5.67836i) q^{31} +(0.142315 + 0.989821i) q^{32} +(0.262710 - 0.575254i) q^{33} +(4.81593 - 1.41408i) q^{34} +(-1.13488 + 0.333232i) q^{35} +(0.415415 - 0.909632i) q^{36} +(-0.424211 - 2.95045i) q^{37} +(4.95058 + 5.71328i) q^{38} +(0.134979 + 0.295563i) q^{39} +(0.995030 - 0.639467i) q^{40} +(-0.412698 + 2.87037i) q^{41} +(0.841254 + 0.540641i) q^{42} +(-5.29393 + 6.10952i) q^{43} +(-0.606786 - 0.178169i) q^{44} -1.18279 q^{45} +(3.48042 + 3.29950i) q^{46} -6.34012 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(3.02935 + 1.94685i) q^{50} +(-0.714313 + 4.96816i) q^{51} +(0.273345 - 0.175668i) q^{52} +(2.43052 + 5.32210i) q^{53} +(0.654861 + 0.755750i) q^{54} +(0.106452 + 0.740389i) q^{55} +(0.415415 - 0.909632i) q^{56} +(-7.25353 + 2.12983i) q^{57} +(6.34904 - 1.86425i) q^{58} +(5.38411 - 11.7896i) q^{59} +(0.168329 + 1.17076i) q^{60} +(-6.79273 - 7.83923i) q^{61} +(-3.12124 - 6.83456i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-0.323311 - 0.207780i) q^{65} +(0.414136 - 0.477938i) q^{66} +(11.7209 + 3.44155i) q^{67} +5.01924 q^{68} +(-4.44715 + 1.79524i) q^{69} -1.18279 q^{70} +(3.94440 + 1.15818i) q^{71} +(0.654861 - 0.755750i) q^{72} +(8.15483 + 5.24079i) q^{73} +(0.424211 - 2.95045i) q^{74} +(-3.02935 + 1.94685i) q^{75} +(3.14043 + 6.87659i) q^{76} +(0.414136 + 0.477938i) q^{77} +(0.0462418 + 0.321619i) q^{78} +(-5.68212 + 12.4421i) q^{79} +(1.13488 - 0.333232i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-1.20466 + 2.63783i) q^{82} +(-0.811656 - 5.64519i) q^{83} +(0.654861 + 0.755750i) q^{84} +(-2.46621 - 5.40024i) q^{85} +(-6.80074 + 4.37057i) q^{86} +(-0.941708 + 6.54972i) q^{87} +(-0.532011 - 0.341903i) q^{88} +(-2.49017 + 2.87381i) q^{89} +(-1.13488 - 0.333232i) q^{90} -0.324926 q^{91} +(2.40986 + 4.14639i) q^{92} +7.51354 q^{93} +(-6.08330 - 1.78622i) q^{94} +(5.85552 - 6.75763i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(2.77251 - 19.2832i) q^{97} +(-0.841254 + 0.540641i) q^{98} +(0.262710 + 0.575254i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * 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
$5$	0.168329	−	1.17076i	0.0752791	−	0.523578i	−0.916935	−	0.399036i	$-0.869345\pi$
$5$	0.168329	−	1.17076i	0.0752791	−	0.523578i	0.992214	−	0.124542i	$-0.0397460\pi$
$6$	−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
$10$	0.491350	−	1.07591i	0.155379	−	0.340232i
$11$	−0.606786	+	0.178169i	−0.182953	+	0.0537198i	−0.371926	−	0.928262i	$-0.621302\pi$
$11$	−0.606786	+	0.178169i	−0.182953	+	0.0537198i	0.188973	+	0.981982i	$0.439484\pi$
$12$	−0.959493	+	0.281733i	−0.276982	+	0.0813292i
$13$	0.134979	−	0.295563i	0.0374365	−	0.0819745i	−0.889990	−	0.455980i	$-0.849289\pi$
$13$	0.134979	−	0.295563i	0.0374365	−	0.0819745i	0.927426	+	0.374006i	$0.122016\pi$
$14$	−0.142315	−	0.989821i	−0.0380352	−	0.264541i
$15$	0.774566	+	0.893896i	0.199992	+	0.230803i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	4.22246	−	2.71361i	1.02410	−	0.658147i	0.0830921	−	0.996542i	$-0.473520\pi$
$17$	4.22246	−	2.71361i	1.02410	−	0.658147i	0.941004	+	0.338395i	$0.109884\pi$
$18$	0.142315	−	0.989821i	0.0335439	−	0.233303i
$19$	6.35967	+	4.08711i	1.45901	+	0.937647i	0.998756	+	0.0498586i	$0.0158771\pi$
$19$	6.35967	+	4.08711i	1.45901	+	0.937647i	0.460251	+	0.887789i	$0.347759\pi$
$20$	0.774566	−	0.893896i	0.173198	−	0.199881i
$21$	0.959493	+	0.281733i	0.209379	+	0.0614791i
$22$	−0.632403			−0.134829
$23$	4.26901	+	2.18530i	0.890151	+	0.455666i
$23$	4.26901	+	2.18530i	0.890151	+	0.455666i
$24$	−1.00000			−0.204124
$25$	3.45513	+	1.01452i	0.691026	+	0.202904i
$26$	0.212781	−	0.245563i	0.0417299	−	0.0481588i
$27$	0.841254	+	0.540641i	0.161899	+	0.104046i
$28$	0.142315	−	0.989821i	0.0268950	−	0.187059i
$29$	5.56664	−	3.57746i	1.03370	−	0.664318i	0.0902782	−	0.995917i	$-0.471224\pi$
$29$	5.56664	−	3.57746i	1.03370	−	0.664318i	0.943421	+	0.331599i	$0.107588\pi$
$30$	0.491350	+	1.07591i	0.0897079	+	0.196433i
$31$	−4.92032	−	5.67836i	−0.883716	−	1.01986i	−0.999646	−	0.0266055i	$-0.991530\pi$
$31$	−4.92032	−	5.67836i	−0.883716	−	1.01986i	0.115930	−	0.993257i	$-0.463015\pi$
$32$	0.142315	+	0.989821i	0.0251579	+	0.174977i
$33$	0.262710	−	0.575254i	0.0457319	−	0.100139i
$34$	4.81593	−	1.41408i	0.825925	−	0.242513i
$35$	−1.13488	+	0.333232i	−0.191830	+	0.0563264i
$36$	0.415415	−	0.909632i	0.0692358	−	0.151605i
$37$	−0.424211	−	2.95045i	−0.0697398	−	0.485051i	−0.994520	−	0.104549i	$-0.966660\pi$
$37$	−0.424211	−	2.95045i	−0.0697398	−	0.485051i	0.924780	−	0.380502i	$-0.124249\pi$
$38$	4.95058	+	5.71328i	0.803091	+	0.926816i
$39$	0.134979	+	0.295563i	0.0216140	+	0.0473280i
$40$	0.995030	−	0.639467i	0.157328	−	0.101109i
$41$	−0.412698	+	2.87037i	−0.0644525	+	0.448277i	0.931884	+	0.362757i	$0.118164\pi$
$41$	−0.412698	+	2.87037i	−0.0644525	+	0.448277i	−0.996336	+	0.0855205i	$0.972745\pi$
$42$	0.841254	+	0.540641i	0.129808	+	0.0834227i
$43$	−5.29393	+	6.10952i	−0.807316	+	0.931693i	−0.998759	−	0.0498111i	$-0.984138\pi$
$43$	−5.29393	+	6.10952i	−0.807316	+	0.931693i	0.191442	+	0.981504i	$0.438684\pi$
$44$	−0.606786	−	0.178169i	−0.0914765	−	0.0268599i
$45$	−1.18279			−0.176321
$46$	3.48042	+	3.29950i	0.513160	+	0.486484i
$47$	−6.34012			−0.924802			−0.462401	−	0.886671i	$-0.653012\pi$
$47$	−6.34012			−0.924802			−0.462401	+	0.886671i	$0.653012\pi$
$48$	−0.959493	−	0.281733i	−0.138491	−	0.0406646i
$49$	−0.654861	+	0.755750i	−0.0935515	+	0.107964i
$50$	3.02935	+	1.94685i	0.428415	+	0.275326i
$51$	−0.714313	+	4.96816i	−0.100024	+	0.695681i
$52$	0.273345	−	0.175668i	0.0379062	−	0.0243608i
$53$	2.43052	+	5.32210i	0.333858	+	0.731047i	0.999889	−	0.0148767i	$-0.00473559\pi$
$53$	2.43052	+	5.32210i	0.333858	+	0.731047i	−0.666031	+	0.745924i	$0.732008\pi$
$54$	0.654861	+	0.755750i	0.0891153	+	0.102844i
$55$	0.106452	+	0.740389i	0.0143540	+	0.0998340i
$56$	0.415415	−	0.909632i	0.0555122	−	0.121555i
$57$	−7.25353	+	2.12983i	−0.960753	+	0.282103i
$58$	6.34904	−	1.86425i	0.833669	−	0.244787i
$59$	5.38411	−	11.7896i	0.700951	−	1.53487i	−0.137863	−	0.990451i	$-0.544023\pi$
$59$	5.38411	−	11.7896i	0.700951	−	1.53487i	0.838814	−	0.544418i	$-0.183249\pi$
$60$	0.168329	+	1.17076i	0.0217312	+	0.151144i
$61$	−6.79273	−	7.83923i	−0.869720	−	1.00371i	−0.999925	−	0.0122236i	$-0.996109\pi$
$61$	−6.79273	−	7.83923i	−0.869720	−	1.00371i	0.130205	−	0.991487i	$-0.458436\pi$
$62$	−3.12124	−	6.83456i	−0.396398	−	0.867990i
$63$	−0.841254	+	0.540641i	−0.105988	+	0.0681143i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−0.323311	−	0.207780i	−0.0401018	−	0.0257719i
$66$	0.414136	−	0.477938i	0.0509766	−	0.0588301i
$67$	11.7209	+	3.44155i	1.43193	+	0.420453i	0.903523	−	0.428539i	$-0.140971\pi$
$67$	11.7209	+	3.44155i	1.43193	+	0.420453i	0.528407	+	0.848991i	$0.322790\pi$
$68$	5.01924			0.608673
$69$	−4.44715	+	1.79524i	−0.535374	+	0.216121i
$70$	−1.18279			−0.141371
$71$	3.94440	+	1.15818i	0.468115	+	0.137451i	0.507279	−	0.861782i	$-0.330651\pi$
$71$	3.94440	+	1.15818i	0.468115	+	0.137451i	−0.0391643	+	0.999233i	$0.512470\pi$
$72$	0.654861	−	0.755750i	0.0771761	−	0.0890659i
$73$	8.15483	+	5.24079i	0.954451	+	0.613388i	0.922457	−	0.386100i	$-0.126178\pi$
$73$	8.15483	+	5.24079i	0.954451	+	0.613388i	0.0319939	+	0.999488i	$0.489814\pi$
$74$	0.424211	−	2.95045i	0.0493135	−	0.342983i
$75$	−3.02935	+	1.94685i	−0.349799	+	0.224802i
$76$	3.14043	+	6.87659i	0.360232	+	0.788799i
$77$	0.414136	+	0.477938i	0.0471952	+	0.0544661i
$78$	0.0462418	+	0.321619i	0.00523586	+	0.0364162i
$79$	−5.68212	+	12.4421i	−0.639288	+	1.39985i	0.261337	+	0.965248i	$0.415837\pi$
$79$	−5.68212	+	12.4421i	−0.639288	+	1.39985i	−0.900625	+	0.434598i	$0.856891\pi$
$80$	1.13488	−	0.333232i	0.126884	−	0.0372564i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	−1.20466	+	2.63783i	−0.133032	+	0.291300i
$83$	−0.811656	−	5.64519i	−0.0890908	−	0.619640i	−0.984629	−	0.174656i	$-0.944119\pi$
$83$	−0.811656	−	5.64519i	−0.0890908	−	0.619640i	0.895539	−	0.444984i	$-0.146791\pi$
$84$	0.654861	+	0.755750i	0.0714512	+	0.0824590i
$85$	−2.46621	−	5.40024i	−0.267498	−	0.585738i
$86$	−6.80074	+	4.37057i	−0.733342	+	0.471290i
$87$	−0.941708	+	6.54972i	−0.100962	+	0.702204i
$88$	−0.532011	−	0.341903i	−0.0567126	−	0.0364470i
$89$	−2.49017	+	2.87381i	−0.263958	+	0.304623i	−0.872221	−	0.489112i	$-0.837321\pi$
$89$	−2.49017	+	2.87381i	−0.263958	+	0.304623i	0.608263	+	0.793735i	$0.291866\pi$
$90$	−1.13488	−	0.333232i	−0.119627	−	0.0351257i
$91$	−0.324926			−0.0340615
$92$	2.40986	+	4.14639i	0.251245	+	0.432291i
$93$	7.51354			0.779118
$94$	−6.08330	−	1.78622i	−0.627445	−	0.184234i
$95$	5.85552	−	6.75763i	0.600764	−	0.693318i
$96$	−0.841254	−	0.540641i	−0.0858601	−	0.0551789i
$97$	2.77251	−	19.2832i	0.281505	−	1.95791i	−0.00550457	−	0.999985i	$-0.501752\pi$
$97$	2.77251	−	19.2832i	0.281505	−	1.95791i	0.287010	−	0.957928i	$-0.407339\pi$
$98$	−0.841254	+	0.540641i	−0.0849794	+	0.0546130i
$99$	0.262710	+	0.575254i	0.0264033	+	0.0578152i
$100$	2.35815	+	2.72145i	0.235815	+	0.272145i
$101$	−1.09922	−	7.64522i	−0.109376	−	0.760727i	−0.968510	−	0.248976i	$-0.919906\pi$
$101$	−1.09922	−	7.64522i	−0.109376	−	0.760727i	0.859134	−	0.511751i	$-0.171003\pi$
$102$	−2.08507	+	4.56566i	−0.206453	+	0.452068i
$103$	−13.3184	+	3.91064i	−1.31230	+	0.385326i	−0.861709	−	0.507403i	$-0.830605\pi$
$103$	−13.3184	+	3.91064i	−1.31230	+	0.385326i	−0.450592	+	0.892730i	$0.648787\pi$
$104$	0.311764	−	0.0915423i	0.0305710	−	0.00897646i
$105$	0.491350	−	1.07591i	0.0479509	−	0.104998i
$106$	0.832660	+	5.79128i	0.0808751	+	0.562499i
$107$	6.13868	+	7.08441i	0.593448	+	0.684876i	0.970440	−	0.241341i	$-0.0775871\pi$
$107$	6.13868	+	7.08441i	0.593448	+	0.684876i	−0.376992	+	0.926216i	$0.623042\pi$
$108$	0.415415	+	0.909632i	0.0399733	+	0.0875294i
$109$	−16.3213	+	10.4891i	−1.56330	+	1.00467i	−0.581770	+	0.813353i	$0.697640\pi$
$109$	−16.3213	+	10.4891i	−1.56330	+	1.00467i	−0.981528	+	0.191317i	$0.938724\pi$
$110$	−0.106452	+	0.740389i	−0.0101498	+	0.0705933i
$111$	2.50760	+	1.61154i	0.238011	+	0.152960i
$112$	0.654861	−	0.755750i	0.0618785	−	0.0714116i
$113$	−14.6343	−	4.29701i	−1.37668	−	0.404229i	−0.492066	−	0.870558i	$-0.663758\pi$
$113$	−14.6343	−	4.29701i	−1.37668	−	0.404229i	−0.884612	+	0.466329i	$0.845576\pi$
$114$	−7.55975			−0.708036
$115$	3.27705	−	4.63012i	0.305586	−	0.431761i
$116$	6.61708			0.614380
$117$	−0.311764	−	0.0915423i	−0.0288226	−	0.00846309i
$118$	8.48751	−	9.79511i	0.781339	−	0.901713i
$119$	−4.22246	−	2.71361i	−0.387072	−	0.248756i
$120$	−0.168329	+	1.17076i	−0.0153663	+	0.106875i
$121$	−8.91734	+	5.73083i	−0.810668	+	0.520984i
$122$	−4.30901	−	9.43542i	−0.390120	−	0.854243i
$123$	−1.89902	−	2.19159i	−0.171229	−	0.197609i
$124$	−1.06929	−	7.43707i	−0.0960249	−	0.667868i
$125$	4.22610	−	9.25388i	0.377994	−	0.827692i
$126$	−0.959493	+	0.281733i	−0.0854784	+	0.0250987i
$127$	−3.73442	+	1.09652i	−0.331376	+	0.0973008i	−0.443188	−	0.896429i	$-0.646153\pi$
$127$	−3.73442	+	1.09652i	−0.331376	+	0.0973008i	0.111812	+	0.993729i	$0.464334\pi$
$128$	−0.415415	+	0.909632i	−0.0367178	+	0.0804009i
$129$	−1.15048	−	8.00177i	−0.101294	−	0.704516i
$130$	−0.251677	−	0.290450i	−0.0220735	−	0.0254742i
$131$	8.14038	+	17.8249i	0.711228	+	1.55737i	0.825804	+	0.563958i	$0.190722\pi$
$131$	8.14038	+	17.8249i	0.711228	+	1.55737i	−0.114576	+	0.993415i	$0.536551\pi$
$132$	0.532011	−	0.341903i	0.0463056	−	0.0297588i
$133$	1.07586	−	7.48280i	0.0932893	−	0.648841i
$134$	10.2765	+	6.60429i	0.887753	+	0.570524i
$135$	0.774566	−	0.893896i	0.0666640	−	0.0769343i
$136$	4.81593	+	1.41408i	0.412963	+	0.121257i
$137$	−7.73490			−0.660838			−0.330419	−	0.943834i	$-0.607190\pi$
$137$	−7.73490			−0.660838			−0.330419	+	0.943834i	$0.607190\pi$
$138$	−4.77278	+	0.469614i	−0.406286	+	0.0399762i
$139$	−9.55965			−0.810839			−0.405419	−	0.914131i	$-0.632875\pi$
$139$	−9.55965			−0.810839			−0.405419	+	0.914131i	$0.632875\pi$
$140$	−1.13488	−	0.333232i	−0.0959151	−	0.0281632i
$141$	4.15190	−	4.79155i	0.349653	−	0.403521i
$142$	3.45833	+	2.22253i	0.290217	+	0.186511i
$143$	−0.0292435	+	0.203393i	−0.00244546	+	0.0170086i
$144$	0.841254	−	0.540641i	0.0701045	−	0.0450534i
$145$	−3.25130	−	7.11936i	−0.270006	−	0.591231i
$146$	6.34800	+	7.32599i	0.525364	+	0.606303i
$147$	−0.142315	−	0.989821i	−0.0117379	−	0.0816391i
$148$	1.23827	−	2.71142i	0.101785	−	0.222878i
$149$	12.3706	−	3.63234i	1.01344	−	0.297573i	0.267480	−	0.963563i	$-0.413809\pi$
$149$	12.3706	−	3.63234i	1.01344	−	0.297573i	0.745961	+	0.665990i	$0.231991\pi$
$150$	−3.45513	+	1.01452i	−0.282110	+	0.0828351i
$151$	0.341487	−	0.747753i	0.0277898	−	0.0608513i	−0.895228	−	0.445608i	$-0.852987\pi$
$151$	0.341487	−	0.747753i	0.0277898	−	0.0608513i	0.923018	+	0.384757i	$0.125715\pi$
$152$	1.07586	+	7.48280i	0.0872641	+	0.606935i
$153$	−3.28691	−	3.79329i	−0.265731	−	0.306669i
$154$	0.262710	+	0.575254i	0.0211698	+	0.0463553i
$155$	−7.47620	+	4.80466i	−0.600503	+	0.385920i
$156$	−0.0462418	+	0.321619i	−0.00370231	+	0.0257501i
$157$	−13.4934	−	8.67166i	−1.07689	−	0.692074i	−0.123052	−	0.992400i	$-0.539268\pi$
$157$	−13.4934	−	8.67166i	−1.07689	−	0.692074i	−0.953837	+	0.300326i	$0.902904\pi$
$158$	−8.95730	+	10.3373i	−0.712604	+	0.822389i
$159$	−5.61383	−	1.64837i	−0.445206	−	0.130724i
$160$	1.18279			0.0935081
$161$	0.214404	−	4.79104i	0.0168974	−	0.377587i
$162$	−1.00000			−0.0785674
$163$	−7.85887	−	2.30757i	−0.615554	−	0.180743i	−0.0409323	−	0.999162i	$-0.513033\pi$
$163$	−7.85887	−	2.30757i	−0.615554	−	0.180743i	−0.574622	+	0.818419i	$0.694851\pi$
$164$	−1.89902	+	2.19159i	−0.148289	+	0.171135i
$165$	−0.629260	−	0.404401i	−0.0489878	−	0.0314826i
$166$	0.811656	−	5.64519i	0.0629967	−	0.438152i
$167$	3.02605	−	1.94473i	0.234163	−	0.150488i	−0.418298	−	0.908310i	$-0.637373\pi$
$167$	3.02605	−	1.94473i	0.234163	−	0.150488i	0.652461	+	0.757823i	$0.273737\pi$
$168$	0.415415	+	0.909632i	0.0320500	+	0.0701796i
$169$	8.44405	+	9.74495i	0.649542	+	0.749612i
$170$	−0.844885	−	5.87631i	−0.0647997	−	0.450692i
$171$	3.14043	−	6.87659i	0.240155	−	0.525866i
$172$	−7.75659	+	2.27754i	−0.591434	+	0.173661i
$173$	4.77372	−	1.40169i	0.362939	−	0.106569i	−0.0951782	−	0.995460i	$-0.530342\pi$
$173$	4.77372	−	1.40169i	0.362939	−	0.106569i	0.458117	+	0.888892i	$0.348524\pi$
$174$	−2.74883	+	6.01910i	−0.208388	+	0.456307i
$175$	−0.512475	−	3.56434i	−0.0387395	−	0.269439i
$176$	−0.414136	−	0.477938i	−0.0312167	−	0.0360260i
$177$	5.38411	+	11.7896i	0.404694	+	0.886157i
$178$	−3.19895	+	2.05584i	−0.239771	+	0.154092i
$179$	1.81438	−	12.6193i	0.135613	−	0.943208i	−0.802444	−	0.596727i	$-0.796467\pi$
$179$	1.81438	−	12.6193i	0.135613	−	0.943208i	0.938057	−	0.346481i	$-0.112623\pi$
$180$	−0.995030	−	0.639467i	−0.0741651	−	0.0476630i
$181$	−6.08056	+	7.01734i	−0.451964	+	0.521595i	−0.935307	−	0.353836i	$-0.884877\pi$
$181$	−6.08056	+	7.01734i	−0.451964	+	0.521595i	0.483343	+	0.875431i	$0.339422\pi$
$182$	−0.311764	−	0.0915423i	−0.0231095	−	0.00678557i
$183$	10.3728			0.766779
$184$	1.14407	+	4.65737i	0.0843421	+	0.343346i
$185$	−3.52566			−0.259212
$186$	7.20919	+	2.11681i	0.528604	+	0.155212i
$187$	−2.07865	+	2.39889i	−0.152006	+	0.175424i
$188$	−5.33365	−	3.42773i	−0.388996	−	0.249993i
$189$	0.142315	−	0.989821i	0.0103519	−	0.0719989i
$190$	7.52218	−	4.83421i	0.545716	−	0.350710i
$191$	−0.658335	−	1.44155i	−0.0476354	−	0.104307i	0.884318	−	0.466885i	$-0.154624\pi$
$191$	−0.658335	−	1.44155i	−0.0476354	−	0.104307i	−0.931953	+	0.362578i	$0.881897\pi$
$192$	−0.654861	−	0.755750i	−0.0472605	−	0.0545415i
$193$	−0.553653	−	3.85074i	−0.0398528	−	0.277183i	0.960144	−	0.279504i	$-0.0901701\pi$
$193$	−0.553653	−	3.85074i	−0.0398528	−	0.277183i	−0.999997	+	0.00232163i	$0.999261\pi$
$194$	8.09291	−	17.7210i	0.581037	−	1.27229i
$195$	0.368753	−	0.108276i	0.0264070	−	0.00775378i
$196$	−0.959493	+	0.281733i	−0.0685352	+	0.0201238i
$197$	8.64622	−	18.9326i	0.616018	−	1.34889i	−0.302363	−	0.953193i	$-0.597775\pi$
$197$	8.64622	−	18.9326i	0.616018	−	1.34889i	0.918381	−	0.395698i	$-0.129497\pi$
$198$	0.0900003	+	0.625966i	0.00639604	+	0.0444855i
$199$	−12.0581	−	13.9158i	−0.854777	−	0.986466i	0.145218	−	0.989400i	$-0.453612\pi$
$199$	−12.0581	−	13.9158i	−0.854777	−	0.986466i	−0.999996	+	0.00293410i	$0.999066\pi$
$200$	1.49591	+	3.27558i	0.105777	+	0.231619i
$201$	−10.2765	+	6.60429i	−0.724847	+	0.465831i
$202$	1.09922	−	7.64522i	0.0773406	−	0.537916i
$203$	−5.56664	−	3.57746i	−0.390701	−	0.251089i
$204$	−3.28691	+	3.79329i	−0.230129	+	0.265584i
$205$	3.29104	+	0.966335i	0.229856	+	0.0674918i
$206$	−13.8807			−0.967112
$207$	1.55551	−	4.53656i	0.108115	−	0.315313i
$208$	0.324926			0.0225296
$209$	−4.58715	−	1.34691i	−0.317300	−	0.0931677i
$210$	0.774566	−	0.893896i	0.0534501	−	0.0616847i
$211$	−22.2258	−	14.2836i	−1.53009	−	0.983326i	−0.989898	−	0.141782i	$-0.954717\pi$
$211$	−22.2258	−	14.2836i	−1.53009	−	0.983326i	−0.540188	−	0.841544i	$-0.681647\pi$
$212$	−0.832660	+	5.79128i	−0.0571873	+	0.397747i
$213$	−3.45833	+	2.22253i	−0.236961	+	0.152286i
$214$	3.89411	+	8.52691i	0.266196	+	0.582887i
$215$	6.26163	+	7.22630i	0.427039	+	0.492830i
$216$	0.142315	+	0.989821i	0.00968330	+	0.0673488i
$217$	−3.12124	+	6.83456i	−0.211883	+	0.463960i
$218$	−18.6153	+	5.46594i	−1.26079	+	0.370200i
$219$	−9.30101	+	2.73102i	−0.628504	+	0.184545i
$220$	−0.310732	+	0.680407i	−0.0209495	+	0.0458730i
$221$	−0.232099	−	1.61428i	−0.0156127	−	0.108588i
$222$	1.95200	+	2.25273i	0.131010	+	0.151193i
$223$	10.8450	+	23.7473i	0.726236	+	1.59024i	0.804953	+	0.593339i	$0.202191\pi$
$223$	10.8450	+	23.7473i	0.726236	+	1.59024i	−0.0787164	+	0.996897i	$0.525082\pi$
$224$	0.841254	−	0.540641i	0.0562086	−	0.0361231i
$225$	0.512475	−	3.56434i	0.0341650	−	0.237623i
$226$	−12.8309	−	8.24591i	−0.853498	−	0.548510i
$227$	−0.657883	+	0.759238i	−0.0436652	+	0.0503924i	−0.777162	−	0.629301i	$-0.783341\pi$
$227$	−0.657883	+	0.759238i	−0.0436652	+	0.0503924i	0.733497	+	0.679693i	$0.237887\pi$
$228$	−7.25353	−	2.12983i	−0.480377	−	0.141051i
$229$	−10.6123			−0.701279			−0.350639	−	0.936511i	$-0.614036\pi$
$229$	−10.6123			−0.701279			−0.350639	+	0.936511i	$0.614036\pi$
$230$	4.44876	−	3.51932i	0.293343	−	0.232057i
$231$	−0.632403			−0.0416091
$232$	6.34904	+	1.86425i	0.416835	+	0.122394i
$233$	0.545059	−	0.629031i	0.0357080	−	0.0412092i	−0.737615	−	0.675222i	$-0.764048\pi$
$233$	0.545059	−	0.629031i	0.0357080	−	0.0412092i	0.773323	+	0.634013i	$0.218593\pi$
$234$	−0.273345	−	0.175668i	−0.0178691	−	0.0114838i
$235$	−1.06723	+	7.42273i	−0.0696183	+	0.484206i
$236$	10.9033	−	7.00713i	0.709745	−	0.456126i
$237$	−5.68212	−	12.4421i	−0.369093	−	0.808201i
$238$	−3.28691	−	3.79329i	−0.213058	−	0.245883i
$239$	−0.690320	−	4.80128i	−0.0446531	−	0.310569i	−0.999891	−	0.0147320i	$-0.995310\pi$
$239$	−0.690320	−	4.80128i	−0.0446531	−	0.310569i	0.955238	−	0.295837i	$-0.0955986\pi$
$240$	−0.491350	+	1.07591i	−0.0317165	+	0.0694495i
$241$	3.33159	−	0.978242i	0.214606	−	0.0630141i	−0.172662	−	0.984981i	$-0.555237\pi$
$241$	3.33159	−	0.978242i	0.214606	−	0.0630141i	0.387268	+	0.921967i	$0.373419\pi$
$242$	−10.1707	+	2.98638i	−0.653797	+	0.191972i
$243$	0.415415	−	0.909632i	0.0266489	−	0.0583529i
$244$	−1.47620	−	10.2672i	−0.0945041	−	0.657291i
$245$	0.774566	+	0.893896i	0.0494852	+	0.0571089i
$246$	−1.20466	−	2.63783i	−0.0768062	−	0.168182i
$247$	2.06642	−	1.32801i	0.131483	−	0.0844992i
$248$	1.06929	−	7.43707i	0.0678999	−	0.472254i
$249$	4.79787	+	3.08341i	0.304053	+	0.195403i
$250$	6.66204	−	7.68840i	0.421344	−	0.486257i
$251$	15.0673	+	4.42417i	0.951041	+	0.279251i	0.720220	−	0.693745i	$-0.244041\pi$
$251$	15.0673	+	4.42417i	0.951041	+	0.279251i	0.230821	+	0.972996i	$0.425859\pi$
$252$	−1.00000			−0.0629941
$253$	−2.97973	−	0.565404i	−0.187334	−	0.0355467i
$254$	−3.89208			−0.244211
$255$	5.69625	+	1.67257i	0.356713	+	0.104740i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	18.0979	+	11.6308i	1.12892	+	0.725511i	0.965334	−	0.261019i	$-0.0840584\pi$
$257$	18.0979	+	11.6308i	1.12892	+	0.725511i	0.163583	+	0.986530i	$0.447695\pi$
$258$	1.15048	−	8.00177i	0.0716258	−	0.498168i
$259$	−2.50760	+	1.61154i	−0.155815	+	0.100136i
$260$	−0.159653	−	0.349591i	−0.00990124	−	0.0216807i
$261$	−4.33326	−	5.00085i	−0.268222	−	0.309545i
$262$	2.78877	+	19.3963i	0.172291	+	1.19831i
$263$	−12.1970	+	26.7076i	−0.752097	+	1.64686i	0.0104619	+	0.999945i	$0.496670\pi$
$263$	−12.1970	+	26.7076i	−0.752097	+	1.64686i	−0.762559	+	0.646918i	$0.776057\pi$
$264$	0.606786	−	0.178169i	0.0373451	−	0.0109655i
$265$	6.64001	−	1.94968i	0.407892	−	0.119768i
$266$	3.14043	−	6.87659i	0.192552	−	0.421631i
$267$	−0.541166	−	3.76389i	−0.0331188	−	0.230347i
$268$	7.99957	+	9.23199i	0.488651	+	0.563934i
$269$	−7.27172	−	15.9228i	−0.443364	−	0.970833i	−0.990968	−	0.134095i	$-0.957187\pi$
$269$	−7.27172	−	15.9228i	−0.443364	−	0.970833i	0.547604	−	0.836738i	$-0.315540\pi$
$270$	0.995030	−	0.639467i	0.0605556	−	0.0389167i
$271$	−3.98174	+	27.6936i	−0.241873	+	1.68227i	0.400831	+	0.916152i	$0.368721\pi$
$271$	−3.98174	+	27.6936i	−0.241873	+	1.68227i	−0.642704	+	0.766114i	$0.722188\pi$
$272$	4.22246	+	2.71361i	0.256024	+	0.164537i
$273$	0.212781	−	0.245563i	0.0128781	−	0.0148621i
$274$	−7.42159	−	2.17917i	−0.448354	−	0.131649i
$275$	−2.27728			−0.137325
$276$	−4.71176	−	0.894057i	−0.283614	−	0.0538159i
$277$	12.6819			0.761984			0.380992	−	0.924578i	$-0.375583\pi$
$277$	12.6819			0.761984			0.380992	+	0.924578i	$0.375583\pi$
$278$	−9.17242	−	2.69326i	−0.550125	−	0.161531i
$279$	−4.92032	+	5.67836i	−0.294572	+	0.339954i
$280$	−0.995030	−	0.639467i	−0.0594644	−	0.0382155i
$281$	3.12955	−	21.7665i	0.186693	−	1.29848i	−0.653803	−	0.756665i	$-0.726828\pi$
$281$	3.12955	−	21.7665i	0.186693	−	1.29848i	0.840497	−	0.541817i	$-0.182263\pi$
$282$	5.33365	−	3.42773i	0.317614	−	0.204118i
$283$	8.09547	+	17.7266i	0.481226	+	1.05374i	0.982125	+	0.188232i	$0.0602756\pi$
$283$	8.09547	+	17.7266i	0.481226	+	1.05374i	−0.500899	+	0.865506i	$0.666997\pi$
$284$	2.69208	+	3.10683i	0.159746	+	0.184356i
$285$	1.27253	+	8.85062i	0.0753780	+	0.524265i
$286$	−0.0853613	+	0.186915i	−0.00504752	+	0.0110525i
$287$	2.78242	−	0.816994i	0.164241	−	0.0482256i
$288$	0.959493	−	0.281733i	0.0565387	−	0.0166013i
$289$	3.40342	−	7.45244i	0.200201	−	0.438379i
$290$	−1.11385	−	7.74698i	−0.0654073	−	0.454918i
$291$	12.7577	+	14.7231i	0.747868	+	0.863085i
$292$	4.02690	+	8.81767i	0.235656	+	0.516015i
$293$	−18.8251	+	12.0981i	−1.09977	+	0.706780i	−0.959041	−	0.283268i	$-0.908581\pi$
$293$	−18.8251	+	12.0981i	−1.09977	+	0.706780i	−0.140730	+	0.990048i	$0.544945\pi$
$294$	0.142315	−	0.989821i	0.00829997	−	0.0577276i
$295$	−12.8964	−	8.28800i	−0.750856	−	0.482546i
$296$	1.95200	−	2.25273i	0.113458	−	0.130937i
$297$	−0.606786	−	0.178169i	−0.0352093	−	0.0103384i
$298$	12.8929			0.746864
$299$	1.22212	−	0.966794i	0.0706771	−	0.0559111i
$300$	−3.60100			−0.207904
$301$	7.75659	+	2.27754i	0.447082	+	0.131275i
$302$	0.538321	−	0.621255i	0.0309769	−	0.0357492i
$303$	6.49770	+	4.17582i	0.373283	+	0.239895i
$304$	−1.07586	+	7.48280i	−0.0617051	+	0.429168i
$305$	−10.3212	+	6.63305i	−0.590992	+	0.379808i
$306$	−2.08507	−	4.56566i	−0.119195	−	0.261002i
$307$	−0.662303	−	0.764338i	−0.0377996	−	0.0436231i	0.736535	−	0.676399i	$-0.236461\pi$
$307$	−0.662303	−	0.764338i	−0.0377996	−	0.0436231i	−0.774335	+	0.632776i	$0.781915\pi$
$308$	0.0900003	+	0.625966i	0.00512824	+	0.0356677i
$309$	5.76624	−	12.6263i	0.328030	−	0.718285i
$310$	−8.52699	+	2.50375i	−0.484300	+	0.142203i
$311$	14.8215	−	4.35197i	0.840447	−	0.246778i	0.166948	−	0.985966i	$-0.446609\pi$
$311$	14.8215	−	4.35197i	0.840447	−	0.246778i	0.673499	+	0.739188i	$0.264791\pi$
$312$	−0.134979	+	0.295563i	−0.00764169	+	0.0167330i
$313$	−1.01447	−	7.05576i	−0.0573410	−	0.398815i	−0.998198	−	0.0600106i	$-0.980887\pi$
$313$	−1.01447	−	7.05576i	−0.0573410	−	0.398815i	0.940857	−	0.338805i	$-0.110023\pi$
$314$	−10.5037	−	12.1219i	−0.592758	−	0.684080i
$315$	0.491350	+	1.07591i	0.0276845	+	0.0606205i
$316$	−11.5068	+	7.39498i	−0.647309	+	0.416000i
$317$	−3.85176	+	26.7896i	−0.216336	+	1.50465i	0.535068	+	0.844809i	$0.320286\pi$
$317$	−3.85176	+	26.7896i	−0.216336	+	1.50465i	−0.751404	+	0.659842i	$0.770623\pi$
$318$	−4.92203	−	3.16320i	−0.276014	−	0.177383i
$319$	−2.74037	+	3.16255i	−0.153431	+	0.177069i
$320$	1.13488	+	0.333232i	0.0634419	+	0.0186282i
$321$	−9.37402			−0.523207
$322$	1.55551	−	4.53656i	0.0866852	−	0.252813i
$323$	37.9442			2.11127
$324$	−0.959493	−	0.281733i	−0.0533052	−	0.0156518i
$325$	0.766225	−	0.884271i	0.0425025	−	0.0490505i
$326$	−6.89041	−	4.42820i	−0.381625	−	0.245255i
$327$	2.76108	−	19.2037i	0.152688	−	1.06197i
$328$	−2.43954	+	1.56780i	−0.134701	+	0.0865672i
$329$	2.63378	+	5.76718i	0.145205	+	0.317955i
$330$	−0.489838	−	0.565303i	−0.0269647	−	0.0311189i
$331$	3.05200	+	21.2271i	0.167753	+	1.16675i	0.883515	+	0.468403i	$0.155171\pi$
$331$	3.05200	+	21.2271i	0.167753	+	1.16675i	−0.715762	+	0.698345i	$0.753920\pi$
$332$	2.36921	−	5.18785i	0.130027	−	0.284720i
$333$	−2.86005	+	0.839786i	−0.156730	+	0.0460200i
$334$	3.45137	−	1.01341i	0.188851	−	0.0554515i
$335$	6.00218	−	13.1429i	0.327934	−	0.718075i
$336$	0.142315	+	0.989821i	0.00776391	+	0.0539992i
$337$	9.38796	+	10.8343i	0.511395	+	0.590181i	0.951455	−	0.307787i	$-0.0995885\pi$
$337$	9.38796	+	10.8343i	0.511395	+	0.590181i	−0.440061	+	0.897968i	$0.645043\pi$
$338$	5.35654	+	11.7292i	0.291357	+	0.637983i
$339$	12.8309	−	8.24591i	0.696878	−	0.447856i
$340$	0.844885	−	5.87631i	0.0458203	−	0.318687i
$341$	3.99729	+	2.56890i	0.216465	+	0.139114i
$342$	4.95058	−	5.71328i	0.267697	−	0.308939i
$343$	0.959493	+	0.281733i	0.0518078	+	0.0152121i
$344$	−8.08405			−0.435863
$345$	1.35320	+	5.50871i	0.0728539	+	0.296579i
$346$	4.97525			0.267471
$347$	−4.12454	−	1.21107i	−0.221417	−	0.0650139i	0.169142	−	0.985592i	$-0.445900\pi$
$347$	−4.12454	−	1.21107i	−0.221417	−	0.0650139i	−0.390559	+	0.920578i	$0.627718\pi$
$348$	−4.33326	+	5.00085i	−0.232287	+	0.268074i
$349$	−7.32407	−	4.70689i	−0.392048	−	0.251954i	0.329735	−	0.944074i	$-0.393041\pi$
$349$	−7.32407	−	4.70689i	−0.392048	−	0.251954i	−0.721783	+	0.692120i	$0.756677\pi$
$350$	0.512475	−	3.56434i	0.0273930	−	0.190522i
$351$	0.273345	−	0.175668i	0.0145901	−	0.00937648i
$352$	−0.262710	−	0.575254i	−0.0140025	−	0.0306611i
$353$	−13.0532	−	15.0642i	−0.694750	−	0.801784i	0.293283	−	0.956026i	$-0.405252\pi$
$353$	−13.0532	−	15.0642i	−0.694750	−	0.801784i	−0.988033	+	0.154241i	$0.950707\pi$
$354$	1.84451	+	12.8289i	0.0980348	+	0.681847i
$355$	2.01991	−	4.42298i	0.107205	−	0.234747i
$356$	−3.64857	+	1.07132i	−0.193374	+	0.0567796i
$357$	4.81593	−	1.41408i	0.254886	−	0.0748413i
$358$	5.29614	−	11.5969i	0.279910	−	0.612917i
$359$	0.912193	+	6.34444i	0.0481437	+	0.334847i	0.999631	+	0.0271592i	$0.00864610\pi$
$359$	0.912193	+	6.34444i	0.0481437	+	0.334847i	−0.951487	+	0.307688i	$0.900445\pi$
$360$	−0.774566	−	0.893896i	−0.0408232	−	0.0471125i
$361$	15.8480	+	34.7023i	0.834106	+	1.82644i
$362$	−7.81127	+	5.02000i	−0.410551	+	0.263845i
$363$	1.50855	−	10.4922i	0.0791782	−	0.550696i
$364$	−0.273345	−	0.175668i	−0.0143272	−	0.00920753i
$365$	7.50838	−	8.66513i	0.393007	−	0.453554i
$366$	9.95262	+	2.92235i	0.520232	+	0.152754i
$367$	−34.1869			−1.78454			−0.892271	−	0.451501i	$-0.850889\pi$
$367$	−34.1869			−1.78454			−0.892271	+	0.451501i	$0.850889\pi$
$368$	−0.214404	+	4.79104i	−0.0111766	+	0.249750i
$369$	2.89989			0.150962
$370$	−3.38285	−	0.993294i	−0.175866	−	0.0516389i
$371$	3.83148	−	4.42176i	0.198920	−	0.229566i
$372$	6.32079	+	4.06213i	0.327718	+	0.210612i
$373$	−0.550231	+	3.82694i	−0.0284899	+	0.198151i	−0.999095	−	0.0425244i	$-0.986460\pi$
$373$	−0.550231	+	3.82694i	−0.0284899	+	0.198151i	0.970606	+	0.240676i	$0.0773691\pi$
$374$	−2.67029	+	1.71609i	−0.138078	+	0.0887371i
$375$	4.22610	+	9.25388i	0.218235	+	0.477868i
$376$	−4.15190	−	4.79155i	−0.214118	−	0.247105i
$377$	−0.305986	−	2.12818i	−0.0157591	−	0.109607i
$378$	0.415415	−	0.909632i	0.0213666	−	0.0467864i
$379$	1.64607	−	0.483330i	0.0845530	−	0.0248270i	−0.239182	−	0.970975i	$-0.576879\pi$
$379$	1.64607	−	0.483330i	0.0845530	−	0.0248270i	0.323735	+	0.946148i	$0.395061\pi$
$380$	8.57943	−	2.51915i	0.440116	−	0.129230i
$381$	1.61683	−	3.54036i	0.0828325	−	0.181378i
$382$	−0.225535	−	1.56863i	−0.0115394	−	0.0802583i
$383$	24.0896	+	27.8009i	1.23092	+	1.42056i	0.873649	+	0.486556i	$0.161747\pi$
$383$	24.0896	+	27.8009i	1.23092	+	1.42056i	0.357271	+	0.934001i	$0.383707\pi$
$384$	−0.415415	−	0.909632i	−0.0211991	−	0.0464195i
$385$	0.629260	−	0.404401i	0.0320701	−	0.0206102i
$386$	0.553653	−	3.85074i	0.0281802	−	0.195998i
$387$	6.80074	+	4.37057i	0.345701	+	0.222168i
$388$	12.7577	−	14.7231i	0.647672	−	0.747454i
$389$	−13.1414	−	3.85865i	−0.666293	−	0.195641i	−0.0689415	−	0.997621i	$-0.521962\pi$
$389$	−13.1414	−	3.85865i	−0.666293	−	0.195641i	−0.597352	+	0.801979i	$0.703780\pi$
$390$	0.384321			0.0194608
$391$	23.9558	−	2.35711i	1.21150	−	0.119204i
$392$	−1.00000			−0.0505076
$393$	−18.8020	−	5.52077i	−0.948436	−	0.278486i
$394$	13.6299	−	15.7298i	0.686665	−	0.792454i
$395$	13.6102	+	8.74674i	0.684803	+	0.440096i
$396$	−0.0900003	+	0.625966i	−0.00452269	+	0.0314560i
$397$	−9.99716	+	6.42479i	−0.501743	+	0.322451i	−0.766913	−	0.641751i	$-0.778208\pi$
$397$	−9.99716	+	6.42479i	−0.501743	+	0.322451i	0.265170	+	0.964202i	$0.414572\pi$
$398$	−7.64914	−	16.7493i	−0.383417	−	0.839566i
$399$	4.95058	+	5.71328i	0.247839	+	0.286022i
$400$	0.512475	+	3.56434i	0.0256238	+	0.178217i
$401$	6.00915	−	13.1582i	0.300083	−	0.657090i	−0.698185	−	0.715917i	$-0.746009\pi$
$401$	6.00915	−	13.1582i	0.300083	−	0.657090i	0.998268	+	0.0588274i	$0.0187362\pi$
$402$	−11.7209	+	3.44155i	−0.584583	+	0.171649i
$403$	−2.34246	+	0.687807i	−0.116686	+	0.0342621i
$404$	3.20860	−	7.02585i	0.159634	−	0.349549i
$405$	0.168329	+	1.17076i	0.00836434	+	0.0581753i
$406$	−4.33326	−	5.00085i	−0.215056	−	0.248188i
$407$	0.783083	+	1.71471i	0.0388160	+	0.0849951i
$408$	−4.22246	+	2.71361i	−0.209043	+	0.134344i
$409$	3.00710	−	20.9148i	0.148691	−	1.03417i	−0.769674	−	0.638438i	$-0.779581\pi$
$409$	3.00710	−	20.9148i	0.148691	−	1.03417i	0.918365	−	0.395734i	$-0.129510\pi$
$410$	2.88548	+	1.85438i	0.142504	+	0.0915815i
$411$	5.06529	−	5.84565i	0.249852	−	0.288345i
$412$	−13.3184	−	3.91064i	−0.656151	−	0.192663i
$413$	−12.9608			−0.637759
$414$	2.77060	−	3.91456i	0.136167	−	0.192390i
$415$	−6.74576			−0.331136
$416$	0.311764	+	0.0915423i	0.0152855	+	0.00448823i
$417$	6.26024	−	7.22470i	0.306565	−	0.353795i
$418$	−4.02187	−	2.58470i	−0.196716	−	0.126422i
$419$	1.20824	−	8.40352i	0.0590266	−	0.410539i	−0.938790	−	0.344490i	$-0.888052\pi$
$419$	1.20824	−	8.40352i	0.0590266	−	0.410539i	0.997816	−	0.0660486i	$-0.0210392\pi$
$420$	0.995030	−	0.639467i	0.0485525	−	0.0312028i
$421$	−5.38832	−	11.7988i	−0.262611	−	0.575038i	0.731691	−	0.681636i	$-0.238731\pi$
$421$	−5.38832	−	11.7988i	−0.262611	−	0.575038i	−0.994302	+	0.106599i	$0.966004\pi$
$422$	−17.3013	−	19.9668i	−0.842215	−	0.971968i
$423$	0.902294	+	6.27559i	0.0438710	+	0.305130i
$424$	−2.43052	+	5.32210i	−0.118037	+	0.258464i
$425$	17.3422	−	5.09211i	0.841218	−	0.247004i
$426$	−3.94440	+	1.15818i	−0.191107	+	0.0561141i
$427$	−4.30901	+	9.43542i	−0.208528	+	0.456612i
$428$	1.33406	+	9.27860i	0.0644843	+	0.448498i
$429$	−0.134564	−	0.155295i	−0.00649679	−	0.00749770i
$430$	3.97210	+	8.69769i	0.191552	+	0.419440i
$431$	−1.18214	+	0.759712i	−0.0569415	+	0.0365941i	−0.568802	−	0.822475i	$-0.692593\pi$
$431$	−1.18214	+	0.759712i	−0.0569415	+	0.0365941i	0.511860	+	0.859069i	$0.328957\pi$
$432$	−0.142315	+	0.989821i	−0.00684713	+	0.0476228i
$433$	14.0675	+	9.04066i	0.676043	+	0.434466i	0.833099	−	0.553123i	$-0.186564\pi$
$433$	14.0675	+	9.04066i	0.676043	+	0.434466i	−0.157057	+	0.987590i	$0.550200\pi$
$434$	−4.92032	+	5.67836i	−0.236183	+	0.272570i
$435$	7.50961	+	2.20502i	0.360058	+	0.105723i
$436$	−19.4012			−0.929148
$437$	18.2180	+	31.3457i	0.871483	+	1.49947i
$438$	−9.69367			−0.463181
$439$	−15.4781	−	4.54477i	−0.738727	−	0.216910i	−0.109343	−	0.994004i	$-0.534875\pi$
$439$	−15.4781	−	4.54477i	−0.738727	−	0.216910i	−0.629384	+	0.777094i	$0.716693\pi$
$440$	−0.489838	+	0.565303i	−0.0233521	+	0.0269497i
$441$	0.841254	+	0.540641i	0.0400597	+	0.0257448i
$442$	0.232099	−	1.61428i	0.0110398	−	0.0767837i
$443$	31.0471	−	19.9528i	1.47509	−	0.947986i	0.477503	−	0.878630i	$-0.341542\pi$
$443$	31.0471	−	19.9528i	1.47509	−	0.947986i	0.997592	−	0.0693554i	$-0.0220942\pi$
$444$	1.23827	+	2.71142i	0.0587655	+	0.128678i
$445$	2.94536	+	3.39913i	0.139624	+	0.161134i
$446$	3.71534	+	25.8408i	0.175926	+	1.22359i
$447$	−5.35589	+	11.7278i	−0.253325	+	0.554705i
$448$	0.959493	−	0.281733i	0.0453318	−	0.0133106i
$449$	−19.9442	+	5.85613i	−0.941223	+	0.276368i	−0.716128	−	0.697969i	$-0.754087\pi$
$449$	−19.9442	+	5.85613i	−0.941223	+	0.276368i	−0.225095	+	0.974337i	$0.572269\pi$
$450$	1.49591	−	3.27558i	0.0705178	−	0.154412i
$451$	−0.260991	−	1.81523i	−0.0122896	−	0.0854760i
$452$	−9.98800	−	11.5268i	−0.469796	−	0.542174i
$453$	0.341487	+	0.747753i	0.0160445	+	0.0351325i
$454$	−0.845136	+	0.543136i	−0.0396642	+	0.0254906i
$455$	−0.0546946	+	0.380409i	−0.00256412	+	0.0178339i
$456$	−6.35967	−	4.08711i	−0.297819	−	0.191396i
$457$	−22.0097	+	25.4005i	−1.02957	+	1.18819i	−0.0476538	+	0.998864i	$0.515174\pi$
$457$	−22.0097	+	25.4005i	−1.02957	+	1.18819i	−0.981915	+	0.189322i	$0.939371\pi$
$458$	−10.1824	−	2.98982i	−0.475792	−	0.139705i
$459$	5.01924			0.234278
$460$	5.26006	−	2.12340i	0.245252	−	0.0990040i
$461$	−16.6633			−0.776085			−0.388043	−	0.921641i	$-0.626849\pi$
$461$	−16.6633			−0.776085			−0.388043	+	0.921641i	$0.626849\pi$
$462$	−0.606786	−	0.178169i	−0.0282303	−	0.00828915i
$463$	6.24480	−	7.20689i	0.290221	−	0.334932i	−0.591851	−	0.806047i	$-0.701603\pi$
$463$	6.24480	−	7.20689i	0.290221	−	0.334932i	0.882072	+	0.471115i	$0.156148\pi$
$464$	5.56664	+	3.57746i	0.258425	+	0.166079i
$465$	1.26475	−	8.79652i	0.0586513	−	0.407929i
$466$	0.700199	−	0.449990i	0.0324361	−	0.0208454i
$467$	3.23475	+	7.08311i	0.149686	+	0.327767i	0.969590	−	0.244734i	$-0.0787006\pi$
$467$	3.23475	+	7.08311i	0.149686	+	0.327767i	−0.819904	+	0.572501i	$0.805973\pi$
$468$	−0.212781	−	0.245563i	−0.00983583	−	0.0113511i
$469$	−1.73847	−	12.0913i	−0.0802752	−	0.558326i
$470$	−3.11522	+	6.82139i	−0.143695	+	0.314647i
$471$	15.3899	−	4.51888i	0.709128	−	0.208219i
$472$	12.4358	−	3.65148i	0.572404	−	0.168073i
$473$	2.12376	−	4.65038i	0.0976505	−	0.213825i
$474$	−1.94661	−	13.5389i	−0.0894106	−	0.621864i
$475$	17.8270	+	20.5735i	0.817961	+	0.943977i
$476$	−2.08507	−	4.56566i	−0.0955690	−	0.209267i
$477$	4.92203	−	3.16320i	0.225364	−	0.144833i
$478$	0.690320	−	4.80128i	0.0315745	−	0.219606i
$479$	−29.7175	−	19.0983i	−1.35783	−	0.872622i	−0.359655	−	0.933085i	$-0.617106\pi$
$479$	−29.7175	−	19.0983i	−1.35783	−	0.872622i	−0.998170	+	0.0604638i	$0.980742\pi$
$480$	−0.774566	+	0.893896i	−0.0353539	+	0.0408006i
$481$	−0.929305	−	0.272869i	−0.0423727	−	0.0124417i
$482$	3.47224			0.158156
$483$	3.48042	+	3.29950i	0.158365	+	0.150132i
$484$	−10.6001			−0.481821
$485$	−22.1092	−	6.49185i	−1.00393	−	0.294780i
$486$	0.654861	−	0.755750i	0.0297051	−	0.0342815i
$487$	29.2875	+	18.8219i	1.32714	+	0.852902i	0.995884	−	0.0906378i	$-0.0288906\pi$
$487$	29.2875	+	18.8219i	1.32714	+	0.852902i	0.331258	+	0.943540i	$0.392527\pi$
$488$	1.47620	−	10.2672i	0.0668245	−	0.464775i
$489$	6.89041	−	4.42820i	0.311595	−	0.200250i
$490$	0.491350	+	1.07591i	0.0221970	+	0.0486045i
$491$	0.758665	+	0.875546i	0.0342381	+	0.0395129i	0.772610	−	0.634881i	$-0.218951\pi$
$491$	0.758665	+	0.875546i	0.0342381	+	0.0395129i	−0.738372	+	0.674393i	$0.764405\pi$
$492$	−0.412698	−	2.87037i	−0.0186058	−	0.129406i
$493$	13.7971	−	30.2113i	0.621388	−	1.36065i
$494$	2.35686	−	0.692037i	0.106040	−	0.0311362i
$495$	0.717703	−	0.210737i	0.0322584	−	0.00947191i
$496$	3.12124	−	6.83456i	0.140148	−	0.306881i
$497$	−0.585046	−	4.06908i	−0.0262429	−	0.182523i
$498$	3.73483	+	4.31022i	0.167362	+	0.193146i
$499$	−6.45121	−	14.1262i	−0.288796	−	0.632375i	0.708512	−	0.705698i	$-0.249367\pi$
$499$	−6.45121	−	14.1262i	−0.288796	−	0.632375i	−0.997308	+	0.0733238i	$0.976639\pi$
$500$	8.55825	−	5.50005i	0.382737	−	0.245970i
$501$	−0.511918	+	3.56046i	−0.0228708	+	0.159070i
$502$	13.2106	+	8.48992i	0.589616	+	0.378923i
$503$	−19.0394	+	21.9727i	−0.848926	+	0.979713i	−0.999961	−	0.00881538i	$-0.997194\pi$
$503$	−19.0394	+	21.9727i	−0.848926	+	0.979713i	0.151035	+	0.988528i	$0.451739\pi$
$504$	−0.959493	−	0.281733i	−0.0427392	−	0.0125494i
$505$	−9.13571			−0.406534
$506$	−2.69974	−	1.38199i	−0.120018	−	0.0614369i
$507$	−12.8944			−0.572661
$508$	−3.73442	−	1.09652i	−0.165688	−	0.0486504i
$509$	−9.55539	+	11.0275i	−0.423535	+	0.488786i	−0.926911	−	0.375282i	$-0.877546\pi$
$509$	−9.55539	+	11.0275i	−0.423535	+	0.488786i	0.503375	+	0.864068i	$0.332091\pi$
$510$	4.99430	+	3.20964i	0.221151	+	0.142125i
$511$	1.37955	−	9.59500i	0.0610278	−	0.424458i
$512$	−0.841254	+	0.540641i	−0.0371785	+	0.0238932i
$513$	3.14043	+	6.87659i	0.138654	+	0.303609i
$514$	14.0880	+	16.2585i	0.621397	+	0.717130i
$515$	2.33652	+	16.2509i	0.102959	+	0.716099i
$516$	3.35824	−	7.35351i	0.147838	−	0.323720i
$517$	3.84710	−	1.12961i	0.169195	−	0.0496802i
$518$	−2.86005	+	0.839786i	−0.125663	+	0.0368981i
$519$	−2.06679	+	4.52565i	−0.0907222	+	0.198654i
$520$	−0.0546946	−	0.380409i	−0.00239852	−	0.0166820i
$521$	−8.33819	−	9.62278i	−0.365303	−	0.421582i	0.543107	−	0.839664i	$-0.317248\pi$
$521$	−8.33819	−	9.62278i	−0.365303	−	0.421582i	−0.908409	+	0.418082i	$0.862702\pi$
$522$	−2.74883	−	6.01910i	−0.120313	−	0.263449i
$523$	3.11185	−	1.99987i	0.136072	−	0.0874480i	−0.470834	−	0.882222i	$-0.656047\pi$
$523$	3.11185	−	1.99987i	0.136072	−	0.0874480i	0.606906	+	0.794774i	$0.292411\pi$
$524$	−2.78877	+	19.3963i	−0.121828	+	0.847332i
$525$	3.02935	+	1.94685i	0.132212	+	0.0849673i
$526$	−19.2273	+	22.1895i	−0.838351	+	0.967509i
$527$	−36.1847	−	10.6248i	−1.57623	−	0.462823i
$528$	0.632403			0.0275218
$529$	13.4490	+	18.6581i	0.584737	+	0.811223i
$530$	6.92033			0.300600
$531$	−12.4358	−	3.65148i	−0.539667	−	0.158461i
$532$	4.95058	−	5.71328i	0.214635	−	0.247702i
$533$	0.792672	+	0.509419i	0.0343344	+	0.0220654i
$534$	0.541166	−	3.76389i	0.0234186	−	0.162880i
$535$	9.32743	−	5.99437i	0.403260	−	0.259159i
$536$	5.07457	+	11.1118i	0.219188	+	0.479955i
$537$	8.34884	+	9.63508i	0.360279	+	0.415784i
$538$	−2.49118	−	17.3265i	−0.107402	−	0.747000i
$539$	0.262710	−	0.575254i	0.0113157	−	0.0247779i
$540$	1.13488	−	0.333232i	0.0488376	−	0.0143400i
$541$	39.4951	−	11.5968i	1.69803	−	0.498585i	0.717763	−	0.696287i	$-0.245166\pi$
$541$	39.4951	−	11.5968i	1.69803	−	0.498585i	0.980262	+	0.197702i	$0.0633479\pi$
$542$	−11.6226	+	25.4500i	−0.499235	+	1.09317i
$543$	−1.32143	−	9.19076i	−0.0567081	−	0.394413i
$544$	3.28691	+	3.79329i	0.140925	+	0.162636i
$545$	9.53278	+	20.8739i	0.408339	+	0.894139i
$546$	0.273345	−	0.175668i	0.0116981	−	0.00751791i
$547$	3.66356	−	25.4806i	0.156643	−	1.08947i	−0.748122	−	0.663561i	$-0.769044\pi$
$547$	3.66356	−	25.4806i	0.156643	−	1.08947i	0.904765	−	0.425912i	$-0.140047\pi$
$548$	−6.50702	−	4.18181i	−0.277966	−	0.178638i
$549$	−6.79273	+	7.83923i	−0.289907	+	0.334570i
$550$	−2.18504	−	0.641584i	−0.0931702	−	0.0273573i
$551$	50.0234			2.13107
$552$	−4.26901	−	2.18530i	−0.181701	−	0.0930124i
$553$	13.6782			0.581655
$554$	12.1682	+	3.57291i	0.516978	+	0.151799i
$555$	2.30882	−	2.66452i	0.0980039	−	0.113103i
$556$	−8.04209	−	5.16834i	−0.341061	−	0.219186i
$557$	3.39366	−	23.6034i	0.143794	−	1.00011i	−0.782324	−	0.622872i	$-0.785966\pi$
$557$	3.39366	−	23.6034i	0.143794	−	1.00011i	0.926117	−	0.377235i	$-0.123125\pi$
$558$	−6.32079	+	4.06213i	−0.267581	+	0.171964i
$559$	1.09118	+	2.38935i	0.0461520	+	0.101059i
$560$	−0.774566	−	0.893896i	−0.0327314	−	0.0377740i
$561$	−0.451734	−	3.14188i	−0.0190722	−	0.132650i
$562$	9.13512	−	20.0031i	0.385342	−	0.843781i
$563$	−8.42472	+	2.47372i	−0.355060	+	0.104255i	−0.454398	−	0.890799i	$-0.650146\pi$
$563$	−8.42472	+	2.47372i	−0.355060	+	0.104255i	0.0993384	+	0.995054i	$0.468327\pi$
$564$	6.08330	−	1.78622i	0.256153	−	0.0752134i
$565$	−7.49413	+	16.4099i	−0.315280	+	0.690368i
$566$	2.77338	+	19.2893i	0.116574	+	0.810790i
$567$	0.654861	+	0.755750i	0.0275016	+	0.0317385i
$568$	1.70774	+	3.73943i	0.0716552	+	0.156903i
$569$	−5.50598	+	3.53848i	−0.230823	+	0.148341i	−0.650940	−	0.759129i	$-0.725625\pi$
$569$	−5.50598	+	3.53848i	−0.230823	+	0.148341i	0.420118	+	0.907470i	$0.361989\pi$
$570$	−1.27253	+	8.85062i	−0.0533003	+	0.370712i
$571$	−14.6749	−	9.43101i	−0.614127	−	0.394675i	0.196276	−	0.980549i	$-0.437115\pi$
$571$	−14.6749	−	9.43101i	−0.614127	−	0.394675i	−0.810403	+	0.585873i	$0.800752\pi$
$572$	−0.134564	+	0.155295i	−0.00562639	+	0.00649320i
$573$	1.52057	+	0.446480i	0.0635227	+	0.0186520i
$574$	2.89989			0.121039
$575$	12.5330	+	11.8815i	0.522661	+	0.495492i
$576$	1.00000			0.0416667
$577$	1.01129	+	0.296943i	0.0421007	+	0.0123619i	0.302715	−	0.953081i	$-0.402107\pi$
$577$	1.01129	+	0.296943i	0.0421007	+	0.0123619i	−0.260614	+	0.965443i	$0.583925\pi$
$578$	5.36515	−	6.19171i	0.223161	−	0.257541i
$579$	3.27276	+	2.10328i	0.136011	+	0.0874092i
$580$	1.11385	−	7.74698i	0.0462500	−	0.321676i
$581$	−4.79787	+	3.08341i	−0.199049	+	0.127921i
$582$	8.09291	+	17.7210i	0.335462	+	0.734559i
$583$	−2.42304	−	2.79634i	−0.100352	−	0.115812i
$584$	1.37955	+	9.59500i	0.0570863	+	0.397044i
$585$	−0.159653	+	0.349591i	−0.00660083	+	0.0144538i
$586$	−21.4709	+	6.30444i	−0.886956	+	0.260434i
$587$	−15.2234	+	4.46998i	−0.628335	+	0.184496i	−0.580370	−	0.814353i	$-0.697092\pi$
$587$	−15.2234	+	4.46998i	−0.628335	+	0.184496i	−0.0479654	+	0.998849i	$0.515274\pi$
$588$	0.415415	−	0.909632i	0.0171314	−	0.0375126i
$589$	−8.08355	−	56.2224i	−0.333077	−	2.31660i
$590$	−10.0390	−	11.5856i	−0.413298	−	0.476972i
$591$	8.64622	+	18.9326i	0.355658	+	0.778783i
$592$	2.50760	−	1.61154i	0.103062	−	0.0662338i
$593$	−6.64181	+	46.1948i	−0.272746	+	1.89699i	0.146649	+	0.989189i	$0.453151\pi$
$593$	−6.64181	+	46.1948i	−0.272746	+	1.89699i	−0.419395	+	0.907804i	$0.637758\pi$
$594$	−0.532011	−	0.341903i	−0.0218287	−	0.0140284i
$595$	−3.88773	+	4.48668i	−0.159382	+	0.183936i
$596$	12.3706	+	3.63234i	0.506721	+	0.148787i
$597$	18.4133			0.753604
$598$	1.44499	−	0.583321i	0.0590902	−	0.0238537i
$599$	−24.0093			−0.980994			−0.490497	−	0.871443i	$-0.663185\pi$
$599$	−24.0093			−0.980994			−0.490497	+	0.871443i	$0.663185\pi$
$600$	−3.45513	−	1.01452i	−0.141055	−	0.0414175i
$601$	8.86423	−	10.2299i	0.361580	−	0.417285i	−0.545589	−	0.838053i	$-0.683694\pi$
$601$	8.86423	−	10.2299i	0.361580	−	0.417285i	0.907168	+	0.420768i	$0.138239\pi$
$602$	6.80074	+	4.37057i	0.277177	+	0.178131i
$603$	1.73847	−	12.0913i	0.0707960	−	0.492397i
$604$	0.691543	−	0.444428i	0.0281385	−	0.0180835i
$605$	5.20835	+	11.4047i	0.211749	+	0.463667i
$606$	5.05804	+	5.83728i	0.205469	+	0.237123i
$607$	−0.667814	−	4.64475i	−0.0271057	−	0.188524i	0.971770	−	0.235930i	$-0.0758137\pi$
$607$	−0.667814	−	4.64475i	−0.0271057	−	0.188524i	−0.998876	+	0.0474058i	$0.984905\pi$
$608$	−3.14043	+	6.87659i	−0.127361	+	0.278883i
$609$	6.34904	−	1.86425i	0.257276	−	0.0755430i
$610$	−11.7719	+	3.45654i	−0.476630	+	0.139951i
$611$	−0.855785	+	1.87391i	−0.0346214	+	0.0758102i
$612$	−0.714313	−	4.96816i	−0.0288744	−	0.200826i
$613$	13.2557	+	15.2979i	0.535393	+	0.617876i	0.957417	−	0.288708i	$-0.0932258\pi$
$613$	13.2557	+	15.2979i	0.535393	+	0.617876i	−0.422024	+	0.906585i	$0.638680\pi$
$614$	−0.420136	−	0.919969i	−0.0169553	−	0.0371269i
$615$	−2.88548	+	1.85438i	−0.116354	+	0.0747760i
$616$	−0.0900003	+	0.625966i	−0.00362622	+	0.0252209i
$617$	40.5060	+	26.0316i	1.63071	+	1.04799i	0.948470	+	0.316867i	$0.102631\pi$
$617$	40.5060	+	26.0316i	1.63071	+	1.04799i	0.682241	+	0.731127i	$0.261005\pi$
$618$	9.08990	−	10.4903i	0.365650	−	0.421982i
$619$	14.0034	+	4.11177i	0.562845	+	0.165266i	0.550764	−	0.834661i	$-0.314336\pi$
$619$	14.0034	+	4.11177i	0.562845	+	0.165266i	0.0120805	+	0.999927i	$0.496155\pi$
$620$	−8.88697			−0.356909
$621$	2.40986	+	4.14639i	0.0967044	+	0.166389i
$622$	15.4472			0.619375
$623$	3.64857	+	1.07132i	0.146177	+	0.0429214i
$624$	−0.212781	+	0.245563i	−0.00851807	+	0.00983038i
$625$	5.02411	+	3.22880i	0.200964	+	0.129152i
$626$	1.01447	−	7.05576i	0.0405462	−	0.282005i
$627$	4.02187	−	2.58470i	0.160618	−	0.103223i
$628$	−6.66309	−	14.5901i	−0.265886	−	0.582210i
$629$	−9.79758	−	11.3070i	−0.390655	−	0.450840i
$630$	0.168329	+	1.17076i	0.00670639	+	0.0466440i
$631$	9.12676	−	19.9848i	0.363331	−	0.795583i	−0.636376	−	0.771379i	$-0.719567\pi$
$631$	9.12676	−	19.9848i	0.363331	−	0.795583i	0.999707	−	0.0242044i	$-0.00770525\pi$
$632$	−13.1241	+	3.85359i	−0.522049	+	0.153287i
$633$	25.3496	−	7.44333i	1.00756	−	0.295846i
$634$	−11.2432	+	24.6192i	−0.446525	+	0.977754i
$635$	0.655150	+	4.55667i	0.0259988	+	0.180826i
$636$	−3.83148	−	4.42176i	−0.151928	−	0.175334i
$637$	0.134979	+	0.295563i	0.00534807	+	0.0117106i
$638$	−3.52036	+	2.26240i	−0.139372	+	0.0895692i
$639$	0.585046	−	4.06908i	0.0231440	−	0.160970i
$640$	0.995030	+	0.639467i	0.0393320	+	0.0252771i
$641$	−14.8159	+	17.0985i	−0.585194	+	0.675350i	−0.968713	−	0.248183i	$-0.920167\pi$
$641$	−14.8159	+	17.0985i	−0.585194	+	0.675350i	0.383519	+	0.923533i	$0.374712\pi$
$642$	−8.99430	−	2.64097i	−0.354977	−	0.104231i
$643$	−15.6295			−0.616366			−0.308183	−	0.951327i	$-0.599721\pi$
$643$	−15.6295			−0.616366			−0.308183	+	0.951327i	$0.599721\pi$
$644$	2.77060	−	3.91456i	0.109177	−	0.154255i
$645$	−9.56177			−0.376494
$646$	36.4072	+	10.6901i	1.43242	+	0.420597i
$647$	1.34285	−	1.54973i	0.0527930	−	0.0609263i	−0.728739	−	0.684792i	$-0.759893\pi$
$647$	1.34285	−	1.54973i	0.0527930	−	0.0609263i	0.781532	+	0.623865i	$0.214439\pi$
$648$	−0.841254	−	0.540641i	−0.0330476	−	0.0212384i
$649$	−1.16648	+	8.11302i	−0.0457882	+	0.318464i
$650$	0.984316	−	0.632581i	0.0386080	−	0.0248119i
$651$	−3.12124	−	6.83456i	−0.122331	−	0.267867i
$652$	−5.36374	−	6.19008i	−0.210060	−	0.242422i
$653$	−3.41616	−	23.7599i	−0.133684	−	0.929796i	−0.940694	−	0.339257i	$-0.889824\pi$
$653$	−3.41616	−	23.7599i	−0.133684	−	0.929796i	0.807009	−	0.590539i	$-0.201085\pi$
$654$	8.05954	−	17.6479i	0.315153	−	0.690089i
$655$	22.2389	−	6.52993i	0.868946	−	0.255146i
$656$	−2.78242	+	0.816994i	−0.108635	+	0.0318982i
$657$	4.02690	−	8.81767i	0.157104	−	0.344010i
$658$	0.902294	+	6.27559i	0.0351751	+	0.244648i
$659$	−16.9990	−	19.6179i	−0.662187	−	0.764205i	0.320946	−	0.947098i	$-0.395999\pi$
$659$	−16.9990	−	19.6179i	−0.662187	−	0.764205i	−0.983133	+	0.182893i	$0.941454\pi$
$660$	−0.310732	−	0.680407i	−0.0120952	−	0.0264848i
$661$	−7.79899	+	5.01211i	−0.303346	+	0.194948i	−0.683454	−	0.729994i	$-0.739523\pi$
$661$	−7.79899	+	5.01211i	−0.303346	+	0.194948i	0.380108	+	0.924942i	$0.375887\pi$
$662$	−3.05200	+	21.2271i	−0.118619	+	0.825015i
$663$	1.37199	+	0.881722i	0.0532836	+	0.0342433i
$664$	3.73483	−	4.31022i	0.144939	−	0.167269i
$665$	−8.57943	−	2.51915i	−0.332696	−	0.0976884i
$666$	−2.98079			−0.115503
$667$	31.5819	−	3.10747i	1.22285	−	0.120322i
$668$	3.59708			0.139175
$669$	−25.0490	−	7.35504i	−0.968450	−	0.284362i
$670$	9.46184	−	10.9195i	0.365543	−	0.421859i
$671$	5.51844	+	3.54649i	0.213037	+	0.136911i
$672$	−0.142315	+	0.989821i	−0.00548991	+	0.0381832i
$673$	−0.956625	+	0.614786i	−0.0368752	+	0.0236983i	−0.558949	−	0.829202i	$-0.688795\pi$
$673$	−0.956625	+	0.614786i	−0.0368752	+	0.0236983i	0.522073	+	0.852901i	$0.325159\pi$
$674$	5.95531	+	13.0403i	0.229390	+	0.502294i
$675$	2.35815	+	2.72145i	0.0907653	+	0.104749i
$676$	1.83507	+	12.7632i	0.0705795	+	0.490891i
$677$	−2.40787	+	5.27250i	−0.0925419	+	0.202639i	−0.950243	−	0.311511i	$-0.899165\pi$
$677$	−2.40787	+	5.27250i	−0.0925419	+	0.202639i	0.857701	+	0.514149i	$0.171892\pi$
$678$	14.6343	−	4.29701i	0.562026	−	0.165026i
$679$	−18.6924	+	5.48857i	−0.717347	+	0.210632i
$680$	2.46621	−	5.40024i	0.0945748	−	0.207090i
$681$	−0.142972	−	0.994390i	−0.00547869	−	0.0381051i
$682$	3.11163	+	3.59101i	0.119150	+	0.137507i
$683$	7.21935	+	15.8082i	0.276241	+	0.604883i	0.996001	−	0.0893397i	$-0.0284757\pi$
$683$	7.21935	+	15.8082i	0.276241	+	0.604883i	−0.719761	+	0.694222i	$0.755748\pi$
$684$	6.35967	−	4.08711i	0.243168	−	0.156275i
$685$	−1.30201	+	9.05568i	−0.0497472	+	0.346000i
$686$	0.841254	+	0.540641i	0.0321192	+	0.0206418i
$687$	6.94956	−	8.02022i	0.265142	−	0.305990i
$688$	−7.75659	−	2.27754i	−0.295717	−	0.0868304i
$689$	1.90109			0.0724257
$690$	−0.253596	+	5.66681i	−0.00965423	+	0.215732i
$691$	31.1576			1.18529			0.592645	−	0.805464i	$-0.298084\pi$
$691$	31.1576			1.18529			0.592645	+	0.805464i	$0.298084\pi$
$692$	4.77372	+	1.40169i	0.181470	+	0.0532843i
$693$	0.414136	−	0.477938i	0.0157317	−	0.0181554i
$694$	−3.61627	−	2.32403i	−0.137272	−	0.0882191i
$695$	−1.60917	+	11.1920i	−0.0610392	+	0.424537i
$696$	−5.56664	+	3.57746i	−0.211003	+	0.135603i
$697$	6.04647	+	13.2399i	0.229027	+	0.501498i
$698$	−5.70130	−	6.57966i	−0.215798	−	0.249044i
$699$	0.118453	+	0.823856i	0.00448029	+	0.0311611i
$700$	1.49591	−	3.27558i	0.0565400	−	0.123805i
$701$	5.68710	−	1.66988i	0.214799	−	0.0630706i	−0.172563	−	0.984999i	$-0.555205\pi$
$701$	5.68710	−	1.66988i	0.214799	−	0.0630706i	0.387361	+	0.921928i	$0.373387\pi$
$702$	0.311764	−	0.0915423i	0.0117668	−	0.00345504i
$703$	9.36098	−	20.4977i	0.353056	−	0.773085i
$704$	−0.0900003	−	0.625966i	−0.00339202	−	0.0235920i
$705$	−4.91084	−	5.66741i	−0.184953	−	0.213447i
$706$	−8.28036	−	18.1315i	−0.311635	−	0.682386i
$707$	−6.49770	+	4.17582i	−0.244371	+	0.157048i
$708$	−1.84451	+	12.8289i	−0.0693211	+	0.482138i
$709$	−15.9394	−	10.2436i	−0.598616	−	0.384707i	0.205957	−	0.978561i	$-0.433969\pi$
$709$	−15.9394	−	10.2436i	−0.598616	−	0.384707i	−0.804573	+	0.593854i	$0.797606\pi$
$710$	3.18418	−	3.67474i	0.119500	−	0.137911i
$711$	13.1241	+	3.85359i	0.492192	+	0.144521i
$712$	−3.80260			−0.142508
$713$	−8.59603	−	34.9933i	−0.321924	−	1.31051i
$714$	5.01924			0.187840
$715$	0.233201	+	0.0684739i	0.00872121	+	0.00256078i
$716$	8.34884	−	9.63508i	0.312011	−	0.360080i
$717$	4.08063	+	2.62246i	0.152394	+	0.0979377i
$718$	−0.912193	+	6.34444i	−0.0340427	+	0.236772i
$719$	−23.8786	+	15.3458i	−0.890521	+	0.572303i	−0.903965	−	0.427606i	$-0.859357\pi$
$719$	−23.8786	+	15.3458i	−0.890521	+	0.572303i	0.0134439	+	0.999910i	$0.495721\pi$
$720$	−0.491350	−	1.07591i	−0.0183116	−	0.0400967i
$721$	9.08990	+	10.4903i	0.338526	+	0.390679i
$722$	5.42929	+	37.7615i	0.202057	+	1.40534i
$723$	−1.44242	+	3.15846i	−0.0536442	+	0.117464i
$724$	−8.90915	+	2.61596i	−0.331106	+	0.0972215i
$725$	22.8629	−	6.71314i	0.849106	−	0.249320i
$726$	4.40343	−	9.64216i	0.163426	−	0.357854i
$727$	−2.30893	−	16.0590i	−0.0856335	−	0.595594i	−0.986778	−	0.162076i	$-0.948181\pi$
$727$	−2.30893	−	16.0590i	−0.0856335	−	0.595594i	0.901145	−	0.433518i	$-0.142728\pi$
$728$	−0.212781	−	0.245563i	−0.00788620	−	0.00910117i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	9.64549	−	6.19878i	0.356996	−	0.229427i
$731$	−5.77454	+	40.1628i	−0.213579	+	1.48548i
$732$	8.72615	+	5.60795i	0.322528	+	0.207276i
$733$	−4.74983	+	5.48159i	−0.175439	+	0.202467i	−0.836658	−	0.547725i	$-0.815494\pi$
$733$	−4.74983	+	5.48159i	−0.175439	+	0.202467i	0.661219	+	0.750193i	$0.270039\pi$
$734$	−32.8021	−	9.63156i	−1.21075	−	0.355507i
$735$	−1.18279			−0.0436280
$736$	−1.55551	+	4.53656i	−0.0573369	+	0.167220i
$737$	−7.72523			−0.284562
$738$	2.78242	+	0.816994i	0.102422	+	0.0300740i
$739$	26.4465	−	30.5209i	0.972849	−	1.12273i	−0.0195675	−	0.999809i	$-0.506229\pi$
$739$	26.4465	−	30.5209i	0.972849	−	1.12273i	0.992417	−	0.122919i	$-0.0392256\pi$
$740$	−2.96598	−	1.90612i	−0.109031	−	0.0700703i
$741$	−0.349577	+	2.43136i	−0.0128420	+	0.0893182i
$742$	4.92203	−	3.16320i	0.180693	−	0.116125i
$743$	8.40537	+	18.4052i	0.308363	+	0.675221i	0.998841	−	0.0481325i	$-0.0153270\pi$
$743$	8.40537	+	18.4052i	0.308363	+	0.675221i	−0.690478	+	0.723354i	$0.742600\pi$
$744$	4.92032	+	5.67836i	0.180388	+	0.208179i
$745$	−2.17025	−	15.0944i	−0.0795117	−	0.553016i
$746$	−1.60612	+	3.51690i	−0.0588041	+	0.128763i
$747$	−5.47222	+	1.60679i	−0.200218	+	0.0587893i
$748$	−3.04561	+	0.894271i	−0.111358	+	0.0326978i
$749$	3.89411	−	8.52691i	0.142288	−	0.311566i
$750$	1.44780	+	10.0697i	0.0528661	+	0.367692i
$751$	−6.13537	−	7.08060i	−0.223883	−	0.258375i	0.632685	−	0.774410i	$-0.281953\pi$
$751$	−6.13537	−	7.08060i	−0.223883	−	0.258375i	−0.856568	+	0.516035i	$0.827407\pi$
$752$	−2.63378	−	5.76718i	−0.0960442	−	0.210307i
$753$	−13.2106	+	8.48992i	−0.481420	+	0.309390i
$754$	0.305986	−	2.12818i	0.0111433	−	0.0775036i
$755$	−0.817953	−	0.525667i	−0.0297684	−	0.0191310i
$756$	0.654861	−	0.755750i	0.0238171	−	0.0274863i
$757$	47.3872	+	13.9141i	1.72232	+	0.505718i	0.985398	−	0.170265i	$-0.0544624\pi$
$757$	47.3872	+	13.9141i	1.72232	+	0.505718i	0.736917	+	0.675983i	$0.236281\pi$
$758$	1.71556			0.0623121
$759$	2.37861	−	1.88167i	0.0863382	−	0.0683002i
$760$	8.94163			0.324347
$761$	−25.0107	−	7.34380i	−0.906637	−	0.266213i	−0.205012	−	0.978759i	$-0.565723\pi$
$761$	−25.0107	−	7.34380i	−0.906637	−	0.266213i	−0.701625	+	0.712547i	$0.747542\pi$
$762$	2.54877	−	2.94143i	0.0923321	−	0.106557i
$763$	16.3213	+	10.4891i	0.590871	+	0.379730i
$764$	0.225535	−	1.56863i	0.00815958	−	0.0567512i
$765$	−4.99430	+	3.20964i	−0.180569	+	0.116045i
$766$	15.2814	+	33.4615i	0.552138	+	1.20901i
$767$	−2.75782	−	3.18269i	−0.0995790	−	0.114920i
$768$	−0.142315	−	0.989821i	−0.00513534	−	0.0357171i
$769$	2.87100	−	6.28662i	0.103531	−	0.226701i	−0.850776	−	0.525528i	$-0.823868\pi$
$769$	2.87100	−	6.28662i	0.103531	−	0.226701i	0.954307	+	0.298826i	$0.0965952\pi$
$770$	0.717703	−	0.210737i	0.0258642	−	0.00759442i
$771$	−20.6416	+	6.06092i	−0.743389	+	0.218279i
$772$	1.61611	−	3.53878i	0.0581649	−	0.127363i
$773$	−2.53264	−	17.6149i	−0.0910927	−	0.633564i	−0.983307	−	0.181952i	$-0.941758\pi$
$773$	−2.53264	−	17.6149i	−0.0910927	−	0.633564i	0.892215	−	0.451611i	$-0.149151\pi$
$774$	5.29393	+	6.10952i	0.190286	+	0.219602i
$775$	−11.2396	−	24.6112i	−0.403737	−	0.884061i
$776$	16.3889	−	10.5325i	0.588326	−	0.378094i
$777$	0.424211	−	2.95045i	0.0152185	−	0.105847i
$778$	−11.5219	−	7.40470i	−0.413081	−	0.265471i
$779$	−14.3562	+	16.5679i	−0.514363	+	0.593606i
$780$	0.368753	+	0.108276i	0.0132035	+	0.00387689i
$781$	−2.59976			−0.0930268
$782$	23.6495	+	4.48749i	0.845703	+	0.160472i
$783$	6.61708			0.236475
$784$	−0.959493	−	0.281733i	−0.0342676	−	0.0100619i
$785$	−12.4237	+	14.3377i	−0.443422	+	0.511736i
$786$	−16.4850	−	10.5943i	−0.588001	−	0.377885i
$787$	−2.78680	+	19.3826i	−0.0993385	+	0.690915i	0.877911	+	0.478823i	$0.158937\pi$
$787$	−2.78680	+	19.3826i	−0.0993385	+	0.690915i	−0.977250	+	0.212091i	$0.931973\pi$
$788$	17.5094	−	11.2526i	0.623746	−	0.400857i
$789$	−12.1970	−	26.7076i	−0.434224	−	0.950817i
$790$	10.5946	+	12.2269i	0.376940	+	0.435012i
$791$	2.17060	+	15.0969i	0.0771777	+	0.536783i
$792$	−0.262710	+	0.575254i	−0.00933498	+	0.0204408i
$793$	−3.23387	+	0.949549i	−0.114838	+	0.0337195i
$794$	−11.4023	+	3.34801i	−0.404652	+	0.118816i
$795$	−2.87481	+	6.29495i	−0.101959	+	0.223259i
$796$	−2.62048	−	18.2258i	−0.0928804	−	0.645998i
$797$	−2.37902	−	2.74553i	−0.0842691	−	0.0972518i	0.712049	−	0.702130i	$-0.247767\pi$
$797$	−2.37902	−	2.74553i	−0.0842691	−	0.0972518i	−0.796318	+	0.604878i	$0.793222\pi$
$798$	3.14043	+	6.87659i	0.111170	+	0.243429i
$799$	−26.7709	+	17.2046i	−0.947086	+	0.608655i
$800$	−0.512475	+	3.56434i	−0.0181187	+	0.126019i
$801$	3.19895	+	2.05584i	0.113029	+	0.0726395i
$802$	9.47284	−	10.9322i	0.334497	−	0.386031i
$803$	−5.88198	−	1.72711i	−0.207571	−	0.0609483i
$804$	−12.2157			−0.430814
$805$	−5.57304	−	1.05749i	−0.196424	−	0.0372715i
$806$	−2.44135			−0.0859928
$807$	16.7956	+	4.93165i	0.591235	+	0.173602i
$808$	5.05804	−	5.83728i	0.177941	−	0.205355i
$809$	−19.0696	−	12.2553i	−0.670452	−	0.430873i	0.160637	−	0.987014i	$-0.448645\pi$
$809$	−19.0696	−	12.2553i	−0.670452	−	0.430873i	−0.831088	+	0.556140i	$0.812282\pi$
$810$	−0.168329	+	1.17076i	−0.00591448	+	0.0411361i
$811$	−27.4397	+	17.6344i	−0.963538	+	0.619229i	−0.924975	−	0.380028i	$-0.875914\pi$
$811$	−27.4397	+	17.6344i	−0.963538	+	0.619229i	−0.0385633	+	0.999256i	$0.512278\pi$
$812$	−2.74883	−	6.01910i	−0.0964651	−	0.211229i
$813$	−18.3219	−	21.1446i	−0.642578	−	0.741575i
$814$	0.268272	+	1.86587i	0.00940294	+	0.0653989i
$815$	−4.02448	+	8.81238i	−0.140971	+	0.308684i
$816$	−4.81593	+	1.41408i	−0.168591	+	0.0495029i
$817$	−58.6379	+	17.2176i	−2.05148	+	0.602369i
$818$	8.77768	−	19.2204i	0.306904	−	0.672027i
$819$	0.0462418	+	0.321619i	0.00161582	+	0.0112383i
$820$	2.24616	+	2.59220i	0.0784392	+	0.0905236i
$821$	−15.8008	−	34.5989i	−0.551452	−	1.20751i	−0.956101	−	0.293039i	$-0.905333\pi$
$821$	−15.8008	−	34.5989i	−0.551452	−	1.20751i	0.404649	−	0.914472i	$-0.367394\pi$
$822$	6.50702	−	4.18181i	0.226958	−	0.145857i
$823$	0.896125	−	6.23268i	0.0312369	−	0.217258i	−0.968224	−	0.250084i	$-0.919542\pi$
$823$	0.896125	−	6.23268i	0.0312369	−	0.217258i	0.999461	+	0.0328264i	$0.0104508\pi$
$824$	−11.6772	−	7.50445i	−0.406793	−	0.261430i
$825$	1.49130	−	1.72105i	0.0519205	−	0.0599194i
$826$	−12.4358	−	3.65148i	−0.432696	−	0.127051i
$827$	−10.0529			−0.349573			−0.174787	−	0.984606i	$-0.555924\pi$
$827$	−10.0529			−0.349573			−0.174787	+	0.984606i	$0.555924\pi$
$828$	3.76123	−	2.97543i	0.130712	−	0.103403i
$829$	26.2344			0.911158			0.455579	−	0.890195i	$-0.349432\pi$
$829$	26.2344			0.911158			0.455579	+	0.890195i	$0.349432\pi$
$830$	−6.47251	−	1.90050i	−0.224664	−	0.0659673i
$831$	−8.30490	+	9.58437i	−0.288094	+	0.332478i
$832$	0.273345	+	0.175668i	0.00947654	+	0.00609021i
$833$	−0.714313	+	4.96816i	−0.0247495	+	0.172136i
$834$	8.04209	−	5.16834i	0.278475	−	0.178965i
$835$	−1.76743	−	3.87012i	−0.0611643	−	0.133931i
$836$	−3.13076	−	3.61309i	−0.108280	−	0.124961i
$837$	−1.06929	−	7.43707i	−0.0369600	−	0.257063i
$838$	3.52685	−	7.72272i	0.121833	−	0.266777i
$839$	24.9009	−	7.31157i	0.859675	−	0.252423i	0.177957	−	0.984038i	$-0.443051\pi$
$839$	24.9009	−	7.31157i	0.859675	−	0.252423i	0.681718	+	0.731615i	$0.261233\pi$
$840$	1.13488	−	0.333232i	0.0391572	−	0.0114976i
$841$	6.14220	−	13.4495i	0.211800	−	0.463777i
$842$	−1.84596	−	12.8389i	−0.0636159	−	0.442458i
$843$	14.4006	+	16.6192i	0.495983	+	0.572395i
$844$	−10.9752	−	24.0323i	−0.377782	−	0.827227i
$845$	12.8303	−	8.24556i	0.441377	−	0.283656i
$846$	−0.902294	+	6.27559i	−0.0310215	+	0.215759i
$847$	8.91734	+	5.73083i	0.306404	+	0.196914i
$848$	−3.83148	+	4.42176i	−0.131574	+	0.151844i
$849$	−18.6983	−	5.49031i	−0.641723	−	0.188427i
$850$	18.0743			0.619943
$851$	4.63665	−	13.5225i	0.158942	−	0.463547i
$852$	−4.11093			−0.140838
$853$	−12.2805	−	3.60587i	−0.420475	−	0.123463i	0.0646489	−	0.997908i	$-0.479407\pi$
$853$	−12.2805	−	3.60587i	−0.420475	−	0.123463i	−0.485124	+	0.874446i	$0.661225\pi$
$854$	−6.79273	+	7.83923i	−0.232443	+	0.268253i
$855$	−7.52218	−	4.83421i	−0.257253	−	0.165326i
$856$	−1.33406	+	9.27860i	−0.0455973	+	0.317136i
$857$	−2.70795	+	1.74030i	−0.0925019	+	0.0594474i	−0.586074	−	0.810257i	$-0.699327\pi$
$857$	−2.70795	+	1.74030i	−0.0925019	+	0.0594474i	0.493572	+	0.869705i	$0.335691\pi$
$858$	−0.0853613	−	0.186915i	−0.00291419	−	0.00638118i
$859$	−28.7772	−	33.2107i	−0.981865	−	1.13313i	−0.991092	−	0.133175i	$-0.957483\pi$
$859$	−28.7772	−	33.2107i	−0.981865	−	1.13313i	0.00922736	−	0.999957i	$-0.497063\pi$
$860$	1.36078	+	9.46444i	0.0464023	+	0.322735i
$861$	−1.20466	+	2.63783i	−0.0410546	+	0.0898971i
$862$	−1.34829	+	0.395893i	−0.0459228	+	0.0134842i
$863$	−27.1804	+	7.98089i	−0.925232	+	0.271673i	−0.709439	−	0.704767i	$-0.751052\pi$
$863$	−27.1804	+	7.98089i	−0.925232	+	0.271673i	−0.215793	+	0.976439i	$0.569234\pi$
$864$	−0.415415	+	0.909632i	−0.0141327	+	0.0309463i
$865$	−0.837480	−	5.82480i	−0.0284752	−	0.198049i
$866$	10.9507	+	12.6377i	0.372119	+	0.429448i
$867$	3.40342	+	7.45244i	0.115586	+	0.253098i
$868$	−6.32079	+	4.06213i	−0.214542	+	0.137878i
$869$	1.23104	−	8.56207i	0.0417602	−	0.290448i
$870$	6.58419	+	4.23140i	0.223225	+	0.143458i
$871$	2.59927	−	2.99972i	0.0880729	−	0.101641i
$872$	−18.6153	−	5.46594i	−0.630394	−	0.185100i
$873$	−19.4815			−0.659349
$874$	8.64890	+	35.2086i	0.292553	+	1.19095i
$875$	−10.1732			−0.343917
$876$	−9.30101	−	2.73102i	−0.314252	−	0.0922727i
$877$	17.5257	−	20.2258i	0.591802	−	0.682976i	−0.378297	−	0.925684i	$-0.623490\pi$
$877$	17.5257	−	20.2258i	0.591802	−	0.682976i	0.970099	+	0.242708i	$0.0780358\pi$
$878$	−13.5707	−	8.72134i	−0.457988	−	0.294331i
$879$	3.18463	−	22.1496i	0.107415	−	0.747088i
$880$	−0.629260	+	0.404401i	−0.0212123	+	0.0136323i
$881$	17.6502	+	38.6485i	0.594650	+	1.30210i	0.932591	+	0.360935i	$0.117542\pi$
$881$	17.6502	+	38.6485i	0.594650	+	1.30210i	−0.337941	+	0.941167i	$0.609730\pi$
$882$	0.654861	+	0.755750i	0.0220503	+	0.0254474i
$883$	1.77433	+	12.3407i	0.0597108	+	0.415298i	0.997651	+	0.0685008i	$0.0218216\pi$
$883$	1.77433	+	12.3407i	0.0597108	+	0.415298i	−0.937940	+	0.346797i	$0.887269\pi$
$884$	0.677494	−	1.48350i	0.0227866	−	0.0498956i
$885$	14.7090	−	4.31895i	0.494437	−	0.145180i
$886$	35.4109	−	10.3976i	1.18965	−	0.349313i
$887$	23.1655	−	50.7254i	0.777822	−	1.70319i	0.0692031	−	0.997603i	$-0.477954\pi$
$887$	23.1655	−	50.7254i	0.777822	−	1.70319i	0.708619	−	0.705591i	$-0.249318\pi$
$888$	0.424211	+	2.95045i	0.0142356	+	0.0990107i
$889$	2.54877	+	2.94143i	0.0854829	+	0.0986525i
$890$	1.86841	+	4.09124i	0.0626292	+	0.137139i
$891$	0.532011	−	0.341903i	0.0178230	−	0.0114542i
$892$	−3.71534	+	25.8408i	−0.124399	+	0.865212i
$893$	−40.3211	−	25.9128i	−1.34929	−	0.867138i
$894$	−8.44304	+	9.74379i	−0.282377	+	0.325881i
$895$	−14.4687	−	4.24838i	−0.483634	−	0.142008i
$896$	1.00000			0.0334077
$897$	−0.0696655	+	1.55673i	−0.00232606	+	0.0519778i
$898$	−20.7861			−0.693642
$899$	−47.7038	−	14.0071i	−1.59101	−	0.467163i
$900$	2.35815	−	2.72145i	0.0786051	−	0.0907151i
$901$	24.7049	+	15.8769i	0.823039	+	0.528935i
$902$	0.260991	−	1.81523i	0.00869005	−	0.0604407i
$903$	−6.80074	+	4.37057i	−0.226314	+	0.145443i
$904$	−6.33595	−	13.8738i	−0.210731	−	0.461436i
$905$	7.19205	+	8.30007i	0.239072	+	0.275904i
$906$	0.116988	+	0.813672i	0.00388668	+	0.0270324i
$907$	8.55105	−	18.7242i	0.283933	−	0.621726i	−0.712899	−	0.701267i	$-0.752618\pi$
$907$	8.55105	−	18.7242i	0.283933	−	0.621726i	0.996832	+	0.0795407i	$0.0253454\pi$
$908$	−0.963921	+	0.283033i	−0.0319889	+	0.00939278i
$909$	−7.41096	+	2.17606i	−0.245806	+	0.0721752i
$910$	−0.159653	+	0.349591i	−0.00529243	+	0.0115888i
$911$	−6.52238	−	45.3642i	−0.216096	−	1.50298i	−0.752259	−	0.658868i	$-0.771036\pi$
$911$	−6.52238	−	45.3642i	−0.216096	−	1.50298i	0.536163	−	0.844115i	$-0.319873\pi$
$912$	−4.95058	−	5.71328i	−0.163930	−	0.189186i
$913$	1.49830	+	3.28081i	0.0495864	+	0.108579i
$914$	−28.2743	+	18.1708i	−0.935230	+	0.601036i
$915$	1.74604	−	12.1440i	0.0577224	−	0.401468i
$916$	−8.92761	−	5.73743i	−0.294977	−	0.189570i
$917$	12.8325	−	14.8095i	0.423767	−	0.489053i
$918$	4.81593	+	1.41408i	0.158949	+	0.0466717i
$919$	−46.1727			−1.52310			−0.761548	−	0.648109i	$-0.775560\pi$
$919$	−46.1727			−1.52310			−0.761548	+	0.648109i	$0.775560\pi$
$920$	5.64522	−	0.555457i	0.186117	−	0.0183129i
$921$	1.01136			0.0333256
$922$	−15.9883	−	4.69458i	−0.526546	−	0.154608i
$923$	0.874729	−	1.00949i	0.0287920	−	0.0332278i
$924$	−0.532011	−	0.341903i	−0.0175019	−	0.0112478i
$925$	1.52758	−	10.6246i	0.0502266	−	0.349334i
$926$	8.02226	−	5.15559i	0.263628	−	0.169423i
$927$	5.76624	+	12.6263i	0.189388	+	0.414702i
$928$	4.33326	+	5.00085i	0.142246	+	0.164161i
$929$	4.66627	+	32.4546i	0.153095	+	1.06480i	0.910991	+	0.412426i	$0.135318\pi$
$929$	4.66627	+	32.4546i	0.153095	+	1.06480i	−0.757896	+	0.652376i	$0.773772\pi$
$930$	3.69178	−	8.08388i	0.121058	−	0.265081i
$931$	−7.25353	+	2.12983i	−0.237725	+	0.0698023i
$932$	0.798613	−	0.234494i	0.0261594	−	0.00768110i
$933$	−6.41699	+	14.0512i	−0.210083	+	0.460017i
$934$	1.10817	+	7.70753i	0.0362606	+	0.252198i
$935$	2.45861	+	2.83739i	0.0804053	+	0.0927926i
$936$	−0.134979	−	0.295563i	−0.00441193	−	0.00966079i
$937$	12.6831	−	8.15094i	0.414339	−	0.266280i	−0.316821	−	0.948485i	$-0.602615\pi$
$937$	12.6831	−	8.15094i	0.414339	−	0.266280i	0.731160	+	0.682206i	$0.238979\pi$
$938$	1.73847	−	12.0913i	0.0567631	−	0.394796i
$939$	5.99672	+	3.85386i	0.195696	+	0.125766i
$940$	−4.91084	+	5.66741i	−0.160174	+	0.184851i
$941$	−14.9753	−	4.39715i	−0.488181	−	0.143343i	0.0283731	−	0.999597i	$-0.490967\pi$
$941$	−14.9753	−	4.39715i	−0.488181	−	0.143343i	−0.516554	+	0.856254i	$0.672786\pi$
$942$	16.0396			0.522598
$943$	−8.03443	+	11.3518i	−0.261637	+	0.369665i
$944$	12.9608			0.421838
$945$	−1.13488	−	0.333232i	−0.0369177	−	0.0108400i
$946$	3.34790	−	3.86368i	0.108849	−	0.125619i
$947$	4.77996	+	3.07189i	0.155328	+	0.0998230i	0.615996	−	0.787749i	$-0.288754\pi$
$947$	4.77996	+	3.07189i	0.155328	+	0.0998230i	−0.460668	+	0.887572i	$0.652390\pi$
$948$	1.94661	−	13.5389i	0.0632228	−	0.439724i
$949$	2.64972	−	1.70287i	0.0860135	−	0.0552775i
$950$	11.3087	+	24.7626i	0.366903	+	0.803404i
$951$	−17.7238	−	20.4544i	−0.574735	−	0.663279i
$952$	−0.714313	−	4.96816i	−0.0231510	−	0.161019i
$953$	−13.2972	+	29.1167i	−0.430738	+	0.943184i	0.562469	+	0.826819i	$0.309852\pi$
$953$	−13.2972	+	29.1167i	−0.430738	+	0.943184i	−0.993206	+	0.116365i	$0.962876\pi$
$954$	5.61383	−	1.64837i	0.181754	−	0.0533679i
$955$	−1.79852	+	0.528093i	−0.0581988	+	0.0170887i
$956$	2.01504	−	4.41231i	0.0651709	−	0.142704i
$957$	−0.595539	−	4.14206i	−0.0192510	−	0.133894i
$958$	−23.1331	−	26.6970i	−0.747396	−	0.862542i
$959$	3.21320	+	7.03592i	0.103759	+	0.227202i
$960$	−0.995030	+	0.639467i	−0.0321145	+	0.0206387i
$961$	−3.62238	+	25.1942i	−0.116851	+	0.812717i
$962$	−0.814786	−	0.523631i	−0.0262697	−	0.0168825i
$963$	6.13868	−	7.08441i	0.197816	−	0.228292i
$964$	3.33159	+	0.978242i	0.107303	+	0.0315071i
$965$	−4.60147			−0.148127
$966$	2.40986	+	4.14639i	0.0775360	+	0.133408i
$967$	5.64515			0.181536			0.0907679	−	0.995872i	$-0.471068\pi$
$967$	5.64515			0.181536			0.0907679	+	0.995872i	$0.471068\pi$
$968$	−10.1707	−	2.98638i	−0.326898	−	0.0959860i
$969$	−24.8482	+	28.6763i	−0.798239	+	0.921217i
$970$	−19.3847	−	12.4578i	−0.622404	−	0.399995i
$971$	−2.60394	+	18.1108i	−0.0835646	+	0.581204i	0.904419	+	0.426645i	$0.140305\pi$
$971$	−2.60394	+	18.1108i	−0.0835646	+	0.581204i	−0.987984	+	0.154559i	$0.950604\pi$
$972$	0.841254	−	0.540641i	0.0269832	−	0.0173411i
$973$	3.97122	+	8.69576i	0.127312	+	0.278773i
$974$	22.7984	+	26.3107i	0.730507	+	0.843050i
$975$	0.166517	+	1.15815i	0.00533280	+	0.0370905i
$976$	4.30901	−	9.43542i	0.137928	−	0.302020i
$977$	−41.5244	+	12.1927i	−1.32848	+	0.390078i	−0.867547	−	0.497355i	$-0.834305\pi$
$977$	−41.5244	+	12.1927i	−1.32848	+	0.390078i	−0.460937	+	0.887433i	$0.652486\pi$
$978$	7.85887	−	2.30757i	0.251299	−	0.0737881i
$979$	0.998980	−	2.18746i	0.0319275	−	0.0699115i
$980$	0.168329	+	1.17076i	0.00537708	+	0.0373984i
$981$	12.7051	+	14.6624i	0.405642	+	0.468136i
$982$	0.481264	+	1.05382i	0.0153578	+	0.0336288i
$983$	−31.3954	+	20.1766i	−1.00136	+	0.643533i	−0.935142	−	0.354272i	$-0.884729\pi$
$983$	−31.3954	+	20.1766i	−1.00136	+	0.643533i	−0.0662145	+	0.997805i	$0.521092\pi$
$984$	0.412698	−	2.87037i	0.0131563	−	0.0915042i
$985$	−20.7100	−	13.3095i	−0.659876	−	0.424076i
$986$	21.7497	−	25.1005i	0.692652	−	0.799363i
$987$	−6.08330	−	1.78622i	−0.193634	−	0.0568560i
$988$	2.45636			0.0781473
$989$	−35.9510	+	14.5128i	−1.14317	+	0.461480i
$990$	0.748003			0.0237731
$991$	9.89006	+	2.90398i	0.314168	+	0.0922481i	0.435015	−	0.900423i	$-0.356743\pi$
$991$	9.89006	+	2.90398i	0.314168	+	0.0922481i	−0.120847	+	0.992671i	$0.538561\pi$
$992$	4.92032	−	5.67836i	0.156220	−	0.180288i
$993$	−18.0410	−	11.5943i	−0.572514	−	0.367933i
$994$	0.585046	−	4.06908i	0.0185565	−	0.129063i
$995$	−18.3217	+	11.7747i	−0.580838	+	0.373282i
$996$	2.36921	+	5.18785i	0.0750714	+	0.164383i
$997$	24.4611	+	28.2296i	0.774689	+	0.894039i	0.996714	−	0.0810020i	$-0.0258120\pi$
$997$	24.4611	+	28.2296i	0.774689	+	0.894039i	−0.222025	+	0.975041i	$0.571267\pi$
$998$	−2.21009	−	15.3715i	−0.0699590	−	0.486576i
$999$	1.23827	−	2.71142i	0.0391770	−	0.0857857i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.547.3	✓	30
23.9	even	11	inner	966.2.q.f.883.3	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.547.3	✓	30	1.1	even	1	trivial
966.2.q.f.883.3	yes	30	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)

\(f(q)\)	\(=\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.168329 - 1.17076i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.168329 - 1.17076i) 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} +(0.491350 - 1.07591i) q^{10} +(-0.606786 + 0.178169i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(0.134979 - 0.295563i) q^{13} +(-0.142315 - 0.989821i) q^{14} +(0.774566 + 0.893896i) q^{15} +(0.415415 + 0.909632i) q^{16} +(4.22246 - 2.71361i) q^{17} +(0.142315 - 0.989821i) q^{18} +(6.35967 + 4.08711i) q^{19} +(0.774566 - 0.893896i) q^{20} +(0.959493 + 0.281733i) q^{21} -0.632403 q^{22} +(4.26901 + 2.18530i) q^{23} -1.00000 q^{24} +(3.45513 + 1.01452i) q^{25} +(0.212781 - 0.245563i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.142315 - 0.989821i) q^{28} +(5.56664 - 3.57746i) q^{29} +(0.491350 + 1.07591i) q^{30} +(-4.92032 - 5.67836i) q^{31} +(0.142315 + 0.989821i) q^{32} +(0.262710 - 0.575254i) q^{33} +(4.81593 - 1.41408i) q^{34} +(-1.13488 + 0.333232i) q^{35} +(0.415415 - 0.909632i) q^{36} +(-0.424211 - 2.95045i) q^{37} +(4.95058 + 5.71328i) q^{38} +(0.134979 + 0.295563i) q^{39} +(0.995030 - 0.639467i) q^{40} +(-0.412698 + 2.87037i) q^{41} +(0.841254 + 0.540641i) q^{42} +(-5.29393 + 6.10952i) q^{43} +(-0.606786 - 0.178169i) q^{44} -1.18279 q^{45} +(3.48042 + 3.29950i) q^{46} -6.34012 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(3.02935 + 1.94685i) q^{50} +(-0.714313 + 4.96816i) q^{51} +(0.273345 - 0.175668i) q^{52} +(2.43052 + 5.32210i) q^{53} +(0.654861 + 0.755750i) q^{54} +(0.106452 + 0.740389i) q^{55} +(0.415415 - 0.909632i) q^{56} +(-7.25353 + 2.12983i) q^{57} +(6.34904 - 1.86425i) q^{58} +(5.38411 - 11.7896i) q^{59} +(0.168329 + 1.17076i) q^{60} +(-6.79273 - 7.83923i) q^{61} +(-3.12124 - 6.83456i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-0.323311 - 0.207780i) q^{65} +(0.414136 - 0.477938i) q^{66} +(11.7209 + 3.44155i) q^{67} +5.01924 q^{68} +(-4.44715 + 1.79524i) q^{69} -1.18279 q^{70} +(3.94440 + 1.15818i) q^{71} +(0.654861 - 0.755750i) q^{72} +(8.15483 + 5.24079i) q^{73} +(0.424211 - 2.95045i) q^{74} +(-3.02935 + 1.94685i) q^{75} +(3.14043 + 6.87659i) q^{76} +(0.414136 + 0.477938i) q^{77} +(0.0462418 + 0.321619i) q^{78} +(-5.68212 + 12.4421i) q^{79} +(1.13488 - 0.333232i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-1.20466 + 2.63783i) q^{82} +(-0.811656 - 5.64519i) q^{83} +(0.654861 + 0.755750i) q^{84} +(-2.46621 - 5.40024i) q^{85} +(-6.80074 + 4.37057i) q^{86} +(-0.941708 + 6.54972i) q^{87} +(-0.532011 - 0.341903i) q^{88} +(-2.49017 + 2.87381i) q^{89} +(-1.13488 - 0.333232i) q^{90} -0.324926 q^{91} +(2.40986 + 4.14639i) q^{92} +7.51354 q^{93} +(-6.08330 - 1.78622i) q^{94} +(5.85552 - 6.75763i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(2.77251 - 19.2832i) q^{97} +(-0.841254 + 0.540641i) q^{98} +(0.262710 + 0.575254i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

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