LMFDB - Embedded newform 966.2.q.g.127.2

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			127.2
Character	$\chi$	$=$	966.127
Dual form			966.2.q.g.715.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.03525 + 0.303978i) q^{5} +(0.415415 + 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})$	\(q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.03525 + 0.303978i) q^{5} +(0.415415 + 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(0.706568 - 0.815423i) q^{10} +(2.22898 + 1.43248i) q^{11} +(-0.841254 - 0.540641i) q^{12} +(-3.65587 + 4.21910i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(0.153552 + 1.06798i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-2.14125 - 4.68868i) q^{17} +(0.959493 - 0.281733i) q^{18} +(-0.750193 + 1.64269i) q^{19} +(-0.153552 + 1.06798i) q^{20} +(0.841254 - 0.540641i) q^{21} -2.64960 q^{22} +(-1.02050 - 4.68600i) q^{23} +1.00000 q^{24} +(-3.22692 + 2.07382i) q^{25} +(0.794497 - 5.52585i) q^{26} +(-0.415415 + 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(-0.478771 - 1.04836i) q^{29} +(-0.706568 - 0.815423i) q^{30} +(1.22160 + 8.49643i) q^{31} +(0.959493 + 0.281733i) q^{32} +(1.73512 - 2.00243i) q^{33} +(4.33623 + 2.78672i) q^{34} +(-0.907678 - 0.583329i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-0.690368 - 0.202710i) q^{37} +(-0.257005 - 1.78751i) q^{38} +(3.65587 + 4.21910i) q^{39} +(-0.448216 - 0.981456i) q^{40} +(-8.20692 + 2.40977i) q^{41} +(-0.415415 + 0.909632i) q^{42} +(-0.658151 + 4.57754i) q^{43} +(2.22898 - 1.43248i) q^{44} +1.07896 q^{45} +(3.39194 + 3.39039i) q^{46} -3.47118 q^{47} +(-0.841254 + 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(1.59347 - 3.48921i) q^{50} +(-4.94569 + 1.45219i) q^{51} +(2.31913 + 5.07818i) q^{52} +(5.22432 + 6.02919i) q^{53} +(-0.142315 - 0.989821i) q^{54} +(-2.74300 - 0.805418i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(1.51921 + 0.976337i) q^{57} +(0.969555 + 0.623095i) q^{58} +(-6.21260 + 7.16973i) q^{59} +(1.03525 + 0.303978i) q^{60} +(0.849420 + 5.90785i) q^{61} +(-5.62119 - 6.48720i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(2.50224 - 5.47915i) q^{65} +(-0.377077 + 2.62263i) q^{66} +(6.59037 - 4.23537i) q^{67} -5.15448 q^{68} +(-4.78353 + 0.343225i) q^{69} +1.07896 q^{70} +(-1.37165 + 0.881504i) q^{71} +(0.142315 - 0.989821i) q^{72} +(0.723660 - 1.58459i) q^{73} +(0.690368 - 0.202710i) q^{74} +(1.59347 + 3.48921i) q^{75} +(1.18261 + 1.36480i) q^{76} +(0.377077 + 2.62263i) q^{77} +(-5.35654 - 1.57282i) q^{78} +(-8.73399 + 10.0796i) q^{79} +(0.907678 + 0.583329i) q^{80} +(0.841254 + 0.540641i) q^{81} +(5.60128 - 6.46422i) q^{82} +(4.98372 + 1.46335i) q^{83} +(-0.142315 - 0.989821i) q^{84} +(3.64199 + 4.20308i) q^{85} +(-1.92113 - 4.20670i) q^{86} +(-1.10583 + 0.324700i) q^{87} +(-1.10068 + 2.41016i) q^{88} +(-1.56491 + 10.8842i) q^{89} +(-0.907678 + 0.583329i) q^{90} -5.58267 q^{91} +(-4.68646 - 1.01836i) q^{92} +8.58380 q^{93} +(2.92014 - 1.87666i) q^{94} +(0.277298 - 1.92865i) q^{95} +(0.415415 - 0.909632i) q^{96} +(-0.398656 + 0.117056i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(-1.73512 - 2.00243i) 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	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 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 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{10}{11}\right)$

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 $

$2$	−0.841254	+	0.540641i	−0.594856	+	0.382291i
$2$	−0.841254	+	0.540641i	−0.594856	+	0.382291i
$3$	0.142315	−	0.989821i	0.0821655	−	0.571474i
$3$	0.142315	−	0.989821i	0.0821655	−	0.571474i
$4$	0.415415	−	0.909632i	0.207708	−	0.454816i
$5$	−1.03525	+	0.303978i	−0.462979	+	0.135943i	−0.504900	−	0.863178i	$-0.668471\pi$
$5$	−1.03525	+	0.303978i	−0.462979	+	0.135943i	0.0419204	+	0.999121i	$0.486652\pi$
$6$	0.415415	+	0.909632i	0.169592	+	0.371356i
$7$	0.654861	+	0.755750i	0.247514	+	0.285646i
$7$	0.654861	+	0.755750i	0.247514	+	0.285646i
$8$	0.142315	+	0.989821i	0.0503159	+	0.349955i
$9$	−0.959493	−	0.281733i	−0.319831	−	0.0939109i
$10$	0.706568	−	0.815423i	0.223436	−	0.257859i
$11$	2.22898	+	1.43248i	0.672063	+	0.431909i	0.831669	−	0.555272i	$-0.187386\pi$
$11$	2.22898	+	1.43248i	0.672063	+	0.431909i	−0.159606	+	0.987181i	$0.551022\pi$
$12$	−0.841254	−	0.540641i	−0.242849	−	0.156070i
$13$	−3.65587	+	4.21910i	−1.01396	+	1.17017i	−0.0286125	+	0.999591i	$0.509109\pi$
$13$	−3.65587	+	4.21910i	−1.01396	+	1.17017i	−0.985344	+	0.170578i	$0.945437\pi$
$14$	−0.959493	−	0.281733i	−0.256435	−	0.0752962i
$15$	0.153552	+	1.06798i	0.0396469	+	0.275750i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−2.14125	−	4.68868i	−0.519329	−	1.13717i	−0.969693	−	0.244327i	$-0.921433\pi$
$17$	−2.14125	−	4.68868i	−0.519329	−	1.13717i	0.450363	−	0.892845i	$-0.351294\pi$
$18$	0.959493	−	0.281733i	0.226155	−	0.0664050i
$19$	−0.750193	+	1.64269i	−0.172106	+	0.376860i	−0.975954	−	0.217974i	$-0.930055\pi$
$19$	−0.750193	+	1.64269i	−0.172106	+	0.376860i	0.803848	+	0.594834i	$0.202782\pi$
$20$	−0.153552	+	1.06798i	−0.0343352	+	0.238807i
$21$	0.841254	−	0.540641i	0.183577	−	0.117977i
$22$	−2.64960			−0.564896
$23$	−1.02050	−	4.68600i	−0.212789	−	0.977098i
$23$	−1.02050	−	4.68600i	−0.212789	−	0.977098i
$24$	1.00000			0.204124
$25$	−3.22692	+	2.07382i	−0.645384	+	0.414763i
$26$	0.794497	−	5.52585i	0.155814	−	1.08371i
$27$	−0.415415	+	0.909632i	−0.0799467	+	0.175059i
$28$	0.959493	−	0.281733i	0.181327	−	0.0532424i
$29$	−0.478771	−	1.04836i	−0.0889055	−	0.194676i	0.859956	−	0.510368i	$-0.170491\pi$
$29$	−0.478771	−	1.04836i	−0.0889055	−	0.194676i	−0.948862	+	0.315692i	$0.897763\pi$
$30$	−0.706568	−	0.815423i	−0.129001	−	0.148875i
$31$	1.22160	+	8.49643i	0.219406	+	1.52600i	0.740238	+	0.672345i	$0.234713\pi$
$31$	1.22160	+	8.49643i	0.219406	+	1.52600i	−0.520832	+	0.853659i	$0.674378\pi$
$32$	0.959493	+	0.281733i	0.169616	+	0.0498038i
$33$	1.73512	−	2.00243i	0.302045	−	0.348578i
$34$	4.33623	+	2.78672i	0.743657	+	0.477919i
$35$	−0.907678	−	0.583329i	−0.153426	−	0.0986006i
$36$	−0.654861	+	0.755750i	−0.109143	+	0.125958i
$37$	−0.690368	−	0.202710i	−0.113496	−	0.0333254i	0.224491	−	0.974476i	$-0.427928\pi$
$37$	−0.690368	−	0.202710i	−0.113496	−	0.0333254i	−0.337987	+	0.941151i	$0.609746\pi$
$38$	−0.257005	−	1.78751i	−0.0416917	−	0.289972i
$39$	3.65587	+	4.21910i	0.585408	+	0.675597i
$40$	−0.448216	−	0.981456i	−0.0708691	−	0.155182i
$41$	−8.20692	+	2.40977i	−1.28171	+	0.376343i	−0.850530	−	0.525926i	$-0.823719\pi$
$41$	−8.20692	+	2.40977i	−1.28171	+	0.376343i	−0.431175	+	0.902268i	$0.641901\pi$
$42$	−0.415415	+	0.909632i	−0.0640999	+	0.140359i
$43$	−0.658151	+	4.57754i	−0.100367	+	0.698068i	0.876057	+	0.482208i	$0.160165\pi$
$43$	−0.658151	+	4.57754i	−0.100367	+	0.698068i	−0.976424	+	0.215861i	$0.930744\pi$
$44$	2.22898	−	1.43248i	0.336032	−	0.215954i
$45$	1.07896			0.160842
$46$	3.39194	+	3.39039i	0.500114	+	0.499886i
$47$	−3.47118			−0.506323			−0.253162	−	0.967424i	$-0.581470\pi$
$47$	−3.47118			−0.506323			−0.253162	+	0.967424i	$0.581470\pi$
$48$	−0.841254	+	0.540641i	−0.121424	+	0.0780348i
$49$	−0.142315	+	0.989821i	−0.0203307	+	0.141403i
$50$	1.59347	−	3.48921i	0.225350	−	0.493449i
$51$	−4.94569	+	1.45219i	−0.692535	+	0.203347i
$52$	2.31913	+	5.07818i	0.321605	+	0.704217i
$53$	5.22432	+	6.02919i	0.717615	+	0.828172i	0.991018	−	0.133727i	$-0.0426946\pi$
$53$	5.22432	+	6.02919i	0.717615	+	0.828172i	−0.273403	+	0.961900i	$0.588149\pi$
$54$	−0.142315	−	0.989821i	−0.0193666	−	0.134698i
$55$	−2.74300	−	0.805418i	−0.369867	−	0.108603i
$56$	−0.654861	+	0.755750i	−0.0875094	+	0.100991i
$57$	1.51921	+	0.976337i	0.201224	+	0.129319i
$58$	0.969555	+	0.623095i	0.127309	+	0.0818164i
$59$	−6.21260	+	7.16973i	−0.808812	+	0.933419i	−0.998830	−	0.0483616i	$-0.984600\pi$
$59$	−6.21260	+	7.16973i	−0.808812	+	0.933419i	0.190018	+	0.981781i	$0.439145\pi$
$60$	1.03525	+	0.303978i	0.133651	+	0.0392434i
$61$	0.849420	+	5.90785i	0.108757	+	0.756422i	0.969093	+	0.246695i	$0.0793446\pi$
$61$	0.849420	+	5.90785i	0.108757	+	0.756422i	−0.860336	+	0.509727i	$0.829746\pi$
$62$	−5.62119	−	6.48720i	−0.713892	−	0.823876i
$63$	−0.415415	−	0.909632i	−0.0523374	−	0.114603i
$64$	−0.959493	+	0.281733i	−0.119937	+	0.0352166i
$65$	2.50224	−	5.47915i	0.310365	−	0.679604i
$66$	−0.377077	+	2.62263i	−0.0464149	+	0.322823i
$67$	6.59037	−	4.23537i	0.805141	−	0.517433i	−0.0721484	−	0.997394i	$-0.522986\pi$
$67$	6.59037	−	4.23537i	0.805141	−	0.517433i	0.877290	+	0.479961i	$0.159349\pi$
$68$	−5.15448			−0.625073
$69$	−4.78353	+	0.343225i	−0.575870	+	0.0413194i
$70$	1.07896			0.128960
$71$	−1.37165	+	0.881504i	−0.162785	+	0.104615i	−0.619497	−	0.784999i	$-0.712663\pi$
$71$	−1.37165	+	0.881504i	−0.162785	+	0.104615i	0.456712	+	0.889615i	$0.349027\pi$
$72$	0.142315	−	0.989821i	0.0167720	−	0.116652i
$73$	0.723660	−	1.58459i	0.0846980	−	0.185463i	−0.862544	−	0.505982i	$-0.831130\pi$
$73$	0.723660	−	1.58459i	0.0846980	−	0.185463i	0.947242	+	0.320519i	$0.103857\pi$
$74$	0.690368	−	0.202710i	0.0802537	−	0.0235646i
$75$	1.59347	+	3.48921i	0.183998	+	0.402899i
$76$	1.18261	+	1.36480i	0.135654	+	0.156553i
$77$	0.377077	+	2.62263i	0.0429719	+	0.298876i
$78$	−5.35654	−	1.57282i	−0.606508	−	0.178087i
$79$	−8.73399	+	10.0796i	−0.982650	+	1.13404i	0.00832088	+	0.999965i	$0.497351\pi$
$79$	−8.73399	+	10.0796i	−0.982650	+	1.13404i	−0.990971	+	0.134074i	$0.957194\pi$
$80$	0.907678	+	0.583329i	0.101481	+	0.0652182i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	5.60128	−	6.46422i	0.618558	−	0.713854i
$83$	4.98372	+	1.46335i	0.547035	+	0.160624i	0.543560	−	0.839370i	$-0.317076\pi$
$83$	4.98372	+	1.46335i	0.547035	+	0.160624i	0.00347439	+	0.999994i	$0.498894\pi$
$84$	−0.142315	−	0.989821i	−0.0155278	−	0.107998i
$85$	3.64199	+	4.20308i	0.395030	+	0.455888i
$86$	−1.92113	−	4.20670i	−0.207161	−	0.453620i
$87$	−1.10583	+	0.324700i	−0.118557	+	0.0348115i
$88$	−1.10068	+	2.41016i	−0.117333	+	0.256924i
$89$	−1.56491	+	10.8842i	−0.165880	+	1.15372i	0.721411	+	0.692507i	$0.243494\pi$
$89$	−1.56491	+	10.8842i	−0.165880	+	1.15372i	−0.887290	+	0.461211i	$0.847415\pi$
$90$	−0.907678	+	0.583329i	−0.0956777	+	0.0614883i
$91$	−5.58267			−0.585223
$92$	−4.68646	−	1.01836i	−0.488598	−	0.106171i
$93$	8.58380			0.890099
$94$	2.92014	−	1.87666i	0.301190	−	0.193563i
$95$	0.277298	−	1.92865i	0.0284501	−	0.197875i
$96$	0.415415	−	0.909632i	0.0423981	−	0.0928389i
$97$	−0.398656	+	0.117056i	−0.0404774	+	0.0118852i	−0.301909	−	0.953337i	$-0.597624\pi$
$97$	−0.398656	+	0.117056i	−0.0404774	+	0.0118852i	0.261431	+	0.965222i	$0.415806\pi$
$98$	−0.415415	−	0.909632i	−0.0419633	−	0.0918867i
$99$	−1.73512	−	2.00243i	−0.174386	−	0.201252i
$100$	0.545898	+	3.79680i	0.0545898	+	0.379680i
$101$	3.72677	+	1.09428i	0.370828	+	0.108885i	0.461836	−	0.886965i	$-0.347191\pi$
$101$	3.72677	+	1.09428i	0.370828	+	0.108885i	−0.0910084	+	0.995850i	$0.529009\pi$
$102$	3.37547	−	3.89550i	0.334221	−	0.385712i
$103$	4.71797	+	3.03205i	0.464875	+	0.298757i	0.752032	−	0.659126i	$-0.229074\pi$
$103$	4.71797	+	3.03205i	0.464875	+	0.298757i	−0.287157	+	0.957883i	$0.592710\pi$
$104$	−4.69644	−	3.01822i	−0.460524	−	0.295961i
$105$	−0.706568	+	0.815423i	−0.0689540	+	0.0795771i
$106$	−7.65460	−	2.24759i	−0.743481	−	0.218306i
$107$	−1.75911	−	12.2349i	−0.170060	−	1.18279i	−0.878754	−	0.477275i	$-0.841625\pi$
$107$	−1.75911	−	12.2349i	−0.170060	−	1.18279i	0.708695	−	0.705515i	$-0.249284\pi$
$108$	0.654861	+	0.755750i	0.0630140	+	0.0727220i
$109$	−1.16885	−	2.55942i	−0.111955	−	0.245148i	0.845358	−	0.534200i	$-0.179387\pi$
$109$	−1.16885	−	2.55942i	−0.111955	−	0.245148i	−0.957313	+	0.289052i	$0.906660\pi$
$110$	2.74300	−	0.805418i	0.261535	−	0.0767936i
$111$	−0.298897	+	0.654492i	−0.0283700	+	0.0621217i
$112$	0.142315	−	0.989821i	0.0134475	−	0.0935293i
$113$	−6.66356	+	4.28241i	−0.626855	+	0.402855i	−0.815144	−	0.579259i	$-0.803342\pi$
$113$	−6.66356	+	4.28241i	−0.626855	+	0.402855i	0.188289	+	0.982114i	$0.439706\pi$
$114$	−1.80589			−0.169137
$115$	2.48092	+	4.54099i	0.231347	+	0.423449i
$116$	−1.15251			−0.107008
$117$	4.69644	−	3.01822i	0.434186	−	0.279035i
$118$	1.35013	−	9.39035i	0.124289	−	0.864451i
$119$	2.14125	−	4.68868i	0.196288	−	0.429811i
$120$	−1.03525	+	0.303978i	−0.0945053	+	0.0277493i
$121$	−1.65320	−	3.62001i	−0.150291	−	0.329092i
$122$	−3.90860	−	4.51077i	−0.353868	−	0.408385i
$123$	1.21727	+	8.46633i	0.109758	+	0.763383i
$124$	8.23610	+	2.41834i	0.739623	+	0.217173i
$125$	6.24313	−	7.20495i	0.558402	−	0.644430i
$126$	0.841254	+	0.540641i	0.0749448	+	0.0481641i
$127$	−5.47885	−	3.52104i	−0.486169	−	0.312442i	0.274494	−	0.961589i	$-0.411490\pi$
$127$	−5.47885	−	3.52104i	−0.486169	−	0.312442i	−0.760663	+	0.649147i	$0.775126\pi$
$128$	0.654861	−	0.755750i	0.0578821	−	0.0667995i
$129$	4.43728	+	1.30290i	0.390681	+	0.114714i
$130$	0.857230	+	5.96216i	0.0751840	+	0.522916i
$131$	−2.91284	−	3.36160i	−0.254496	−	0.293704i	0.614097	−	0.789231i	$-0.289521\pi$
$131$	−2.91284	−	3.36160i	−0.254496	−	0.293704i	−0.868593	+	0.495527i	$0.834975\pi$
$132$	−1.10068	−	2.41016i	−0.0958021	−	0.209777i
$133$	−1.73274	+	0.508778i	−0.150247	+	0.0441166i
$134$	−3.25435	+	7.12604i	−0.281133	+	0.615596i
$135$	0.153552	−	1.06798i	0.0132156	−	0.0919168i
$136$	4.33623	−	2.78672i	0.371828	−	0.238960i
$137$	−9.28612			−0.793367			−0.396683	−	0.917955i	$-0.629839\pi$
$137$	−9.28612			−0.793367			−0.396683	+	0.917955i	$0.629839\pi$
$138$	3.83860	−	2.87491i	0.326764	−	0.244729i
$139$	−20.4221			−1.73218			−0.866090	−	0.499888i	$-0.833375\pi$
$139$	−20.4221			−1.73218			−0.866090	+	0.499888i	$0.833375\pi$
$140$	−0.907678	+	0.583329i	−0.0767128	+	0.0493003i
$141$	−0.494000	+	3.43585i	−0.0416023	+	0.289351i
$142$	0.677326	−	1.48314i	0.0568399	−	0.124462i
$143$	−14.1927	+	4.16734i	−1.18685	+	0.348490i
$144$	0.415415	+	0.909632i	0.0346179	+	0.0758027i
$145$	0.814328	+	0.939785i	0.0676263	+	0.0780449i
$146$	0.247915	+	1.72429i	0.0205176	+	0.142703i
$147$	0.959493	+	0.281733i	0.0791376	+	0.0232369i
$148$	−0.471181	+	0.543772i	−0.0387308	+	0.0446978i
$149$	3.03510	+	1.95054i	0.248645	+	0.159794i	0.659027	−	0.752119i	$-0.270968\pi$
$149$	3.03510	+	1.95054i	0.248645	+	0.159794i	−0.410382	+	0.911914i	$0.634605\pi$
$150$	−3.22692	−	2.07382i	−0.263477	−	0.169326i
$151$	9.25155	−	10.6769i	0.752881	−	0.868871i	−0.241964	−	0.970285i	$-0.577791\pi$
$151$	9.25155	−	10.6769i	0.752881	−	0.868871i	0.994844	+	0.101415i	$0.0323369\pi$
$152$	−1.73274	−	0.508778i	−0.140544	−	0.0412673i
$153$	0.733560	+	5.10202i	0.0593048	+	0.412474i
$154$	−1.73512	−	2.00243i	−0.139820	−	0.161360i
$155$	−3.84739	−	8.42462i	−0.309030	−	0.676682i
$156$	5.35654	−	1.57282i	0.428866	−	0.125926i
$157$	−1.46381	+	3.20529i	−0.116824	+	0.255810i	−0.959007	−	0.283383i	$-0.908543\pi$
$157$	−1.46381	+	3.20529i	−0.116824	+	0.255810i	0.842182	+	0.539193i	$0.181271\pi$
$158$	1.89808	−	13.2014i	0.151003	−	1.05025i
$159$	6.71131	−	4.31310i	0.532242	−	0.342051i
$160$	−1.07896			−0.0852992
$161$	2.87316	−	3.83992i	0.226436	−	0.302628i
$162$	−1.00000			−0.0785674
$163$	−10.4903	+	6.74173i	−0.821666	+	0.528053i	−0.882620	−	0.470088i	$-0.844222\pi$
$163$	−10.4903	+	6.74173i	−0.821666	+	0.528053i	0.0609533	+	0.998141i	$0.480586\pi$
$164$	−1.21727	+	8.46633i	−0.0950531	+	0.661109i
$165$	−1.18759	+	2.60046i	−0.0924538	+	0.202446i
$166$	−4.98372	+	1.46335i	−0.386812	+	0.113578i
$167$	−1.67770	−	3.67365i	−0.129824	−	0.284275i	0.833546	−	0.552450i	$-0.186307\pi$
$167$	−1.67770	−	3.67365i	−0.129824	−	0.284275i	−0.963370	+	0.268174i	$0.913580\pi$
$168$	0.654861	+	0.755750i	0.0505236	+	0.0583073i
$169$	−2.58532	−	17.9813i	−0.198871	−	1.38318i
$170$	−5.33620	−	1.56685i	−0.409268	−	0.120172i
$171$	1.18261	−	1.36480i	0.0904361	−	0.104369i
$172$	3.89047	+	2.50025i	0.296646	+	0.190643i
$173$	11.5185	+	7.40246i	0.875732	+	0.562799i	0.899501	−	0.436919i	$-0.143930\pi$
$173$	11.5185	+	7.40246i	0.875732	+	0.562799i	−0.0237693	+	0.999717i	$0.507567\pi$
$174$	0.754735	−	0.871011i	0.0572163	−	0.0660312i
$175$	−3.68047	−	1.08068i	−0.278217	−	0.0816920i
$176$	−0.377077	−	2.62263i	−0.0284232	−	0.197688i
$177$	6.21260	+	7.16973i	0.466968	+	0.538910i
$178$	−4.56794	−	10.0024i	−0.342381	−	0.749711i
$179$	6.15844	−	1.80828i	0.460304	−	0.135157i	−0.0433557	−	0.999060i	$-0.513805\pi$
$179$	6.15844	−	1.80828i	0.460304	−	0.135157i	0.503659	+	0.863902i	$0.331987\pi$
$180$	0.448216	−	0.981456i	0.0334080	−	0.0731534i
$181$	1.28257	−	8.92044i	0.0953324	−	0.663051i	−0.884984	−	0.465621i	$-0.845831\pi$
$181$	1.28257	−	8.92044i	0.0953324	−	0.663051i	0.980317	−	0.197431i	$-0.0632598\pi$
$182$	4.69644	−	3.01822i	0.348124	−	0.223725i
$183$	5.96860			0.441211
$184$	4.49307	−	1.67700i	0.331233	−	0.123630i
$185$	0.776326			0.0570766
$186$	−7.22115	+	4.64075i	−0.529481	+	0.340277i
$187$	1.94364	−	13.5183i	0.142133	−	0.988555i
$188$	−1.44198	+	3.15750i	−0.105167	+	0.230284i
$189$	−0.959493	+	0.281733i	−0.0697928	+	0.0204930i
$190$	0.809428	+	1.77240i	0.0587221	+	0.128583i
$191$	−10.2484	−	11.8273i	−0.741547	−	0.855791i	0.252173	−	0.967682i	$-0.418855\pi$
$191$	−10.2484	−	11.8273i	−0.741547	−	0.855791i	−0.993720	+	0.111891i	$0.964309\pi$
$192$	0.142315	+	0.989821i	0.0102707	+	0.0714342i
$193$	25.4372	+	7.46905i	1.83101	+	0.537634i	0.999831	−	0.0183681i	$-0.00584709\pi$
$193$	25.4372	+	7.46905i	1.83101	+	0.537634i	0.831181	+	0.556002i	$0.187665\pi$
$194$	0.272086	−	0.314004i	0.0195346	−	0.0225441i
$195$	−5.06727	−	3.25654i	−0.362875	−	0.233205i
$196$	0.841254	+	0.540641i	0.0600895	+	0.0386172i
$197$	12.9038	−	14.8918i	0.919360	−	1.06100i	−0.0785844	−	0.996907i	$-0.525040\pi$
$197$	12.9038	−	14.8918i	0.919360	−	1.06100i	0.997944	−	0.0640902i	$-0.0204145\pi$
$198$	2.54227	+	0.746477i	0.180671	+	0.0530498i
$199$	0.473351	+	3.29223i	0.0335550	+	0.233380i	0.999697	−	0.0246324i	$-0.00784154\pi$
$199$	0.473351	+	3.29223i	0.0335550	+	0.233380i	−0.966142	+	0.258012i	$0.916932\pi$
$200$	−2.51195	−	2.89894i	−0.177621	−	0.204986i
$201$	−3.25435	−	7.12604i	−0.229544	−	0.502632i
$202$	−3.72677	+	1.09428i	−0.262215	+	0.0769932i
$203$	0.478771	−	1.04836i	0.0336031	−	0.0735806i
$204$	−0.733560	+	5.10202i	−0.0513594	+	0.357213i
$205$	7.76372	−	4.98944i	0.542242	−	0.348478i
$206$	−5.60826			−0.390746
$207$	−0.341036	+	4.78369i	−0.0237037	+	0.332489i
$208$	5.58267			0.387089
$209$	−4.02529	+	2.58690i	−0.278435	+	0.178940i
$210$	0.153552	−	1.06798i	0.0105961	−	0.0736974i
$211$	−0.167181	+	0.366075i	−0.0115092	+	0.0252016i	−0.915299	−	0.402774i	$-0.868046\pi$
$211$	−0.167181	+	0.366075i	−0.0115092	+	0.0252016i	0.903790	+	0.427976i	$0.140773\pi$
$212$	7.65460	−	2.24759i	0.525720	−	0.154365i
$213$	0.677326	+	1.48314i	0.0464096	+	0.101623i
$214$	8.09453	+	9.34158i	0.553331	+	0.638578i
$215$	−0.710118	−	4.93898i	−0.0484296	−	0.336836i
$216$	−0.959493	−	0.281733i	−0.0652852	−	0.0191695i
$217$	−5.62119	+	6.48720i	−0.381591	+	0.440380i
$218$	2.36702	+	1.52119i	0.160315	+	0.103028i
$219$	−1.46548	−	0.941806i	−0.0990278	−	0.0636413i
$220$	−1.87212	+	2.16054i	−0.126218	+	0.145664i
$221$	27.6102	+	8.10708i	1.85726	+	0.545341i
$222$	−0.102397	−	0.712190i	−0.00687247	−	0.0477991i
$223$	16.0479	+	18.5203i	1.07465	+	1.24021i	0.969327	+	0.245774i	$0.0790420\pi$
$223$	16.0479	+	18.5203i	1.07465	+	1.24021i	0.105322	+	0.994438i	$0.466413\pi$
$224$	0.415415	+	0.909632i	0.0277561	+	0.0607773i
$225$	3.68047	−	1.08068i	0.245365	−	0.0720455i
$226$	3.29050	−	7.20518i	0.218881	−	0.479282i
$227$	2.18155	−	15.1730i	0.144794	−	1.00707i	−0.779777	−	0.626058i	$-0.784667\pi$
$227$	2.18155	−	15.1730i	0.144794	−	1.00707i	0.924571	−	0.381010i	$-0.124424\pi$
$228$	1.51921	−	0.976337i	0.100612	−	0.0646595i
$229$	23.2797			1.53836			0.769182	−	0.639029i	$-0.220664\pi$
$229$	23.2797			1.53836			0.769182	+	0.639029i	$0.220664\pi$
$230$	−4.54212	−	2.47884i	−0.299499	−	0.163450i
$231$	2.64960			0.174331
$232$	0.969555	−	0.623095i	0.0636544	−	0.0409082i
$233$	1.15164	−	8.00984i	0.0754465	−	0.524742i	−0.916692	−	0.399595i	$-0.869151\pi$
$233$	1.15164	−	8.00984i	0.0754465	−	0.524742i	0.992138	−	0.125147i	$-0.0399402\pi$
$234$	−2.31913	+	5.07818i	−0.151606	+	0.331971i
$235$	3.59355	−	1.05516i	0.234417	−	0.0688312i
$236$	3.94100	+	8.62960i	0.256538	+	0.561739i
$237$	8.73399	+	10.0796i	0.567334	+	0.654738i
$238$	0.733560	+	5.10202i	0.0475496	+	0.330715i
$239$	18.0387	+	5.29664i	1.16683	+	0.342611i	0.807082	−	0.590440i	$-0.201046\pi$
$239$	18.0387	+	5.29664i	1.16683	+	0.342611i	0.359745	+	0.933051i	$0.382864\pi$
$240$	0.706568	−	0.815423i	0.0456088	−	0.0526353i
$241$	6.23132	+	4.00463i	0.401395	+	0.257961i	0.725728	−	0.687982i	$-0.241503\pi$
$241$	6.23132	+	4.00463i	0.401395	+	0.257961i	−0.324333	+	0.945943i	$0.605140\pi$
$242$	3.34789	+	2.15156i	0.215210	+	0.138307i
$243$	0.654861	−	0.755750i	0.0420093	−	0.0484814i
$244$	5.72683	+	1.68155i	0.366623	+	0.107650i
$245$	−0.153552	−	1.06798i	−0.00981007	−	0.0682305i
$246$	−5.60128	−	6.46422i	−0.357124	−	0.412144i
$247$	−4.18808	−	9.17062i	−0.266481	−	0.583513i
$248$	−8.23610	+	2.41834i	−0.522993	+	0.153564i
$249$	2.15772	−	4.72474i	0.136740	−	0.299418i
$250$	−1.35676	+	9.43648i	−0.0858091	+	0.596815i
$251$	−22.1501	+	14.2350i	−1.39810	+	0.898505i	−0.999824	−	0.0187594i	$-0.994028\pi$
$251$	−22.1501	+	14.2350i	−1.39810	+	0.898505i	−0.398278	+	0.917265i	$0.630392\pi$
$252$	−1.00000			−0.0629941
$253$	4.43792	−	11.9068i	0.279010	−	0.748577i
$254$	6.51272			0.408644
$255$	4.67861	−	3.00676i	0.292986	−	0.188291i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	1.62545	−	3.55923i	0.101393	−	0.222019i	−0.852137	−	0.523319i	$-0.824693\pi$
$257$	1.62545	−	3.55923i	0.101393	−	0.222019i	0.953529	+	0.301301i	$0.0974208\pi$
$258$	−4.43728	+	1.30290i	−0.276253	+	0.0811153i
$259$	−0.298897	−	0.654492i	−0.0185725	−	0.0406682i
$260$	−3.94454	−	4.55224i	−0.244630	−	0.282318i
$261$	0.164020	+	1.14078i	0.0101526	+	0.0706126i
$262$	4.26785	+	1.25316i	0.263669	+	0.0774202i
$263$	11.9487	−	13.7895i	0.736787	−	0.850297i	−0.256431	−	0.966562i	$-0.582547\pi$
$263$	11.9487	−	13.7895i	0.736787	−	0.850297i	0.993218	+	0.116265i	$0.0370922\pi$
$264$	2.22898	+	1.43248i	0.137184	+	0.0881630i
$265$	−7.24123	−	4.65366i	−0.444825	−	0.285872i
$266$	1.18261	−	1.36480i	0.0725102	−	0.0836812i
$267$	10.5507	+	3.09795i	0.645690	+	0.189592i
$268$	−1.11489	−	7.75425i	−0.0681029	−	0.473666i
$269$	−6.09275	−	7.03140i	−0.371481	−	0.428712i	0.538972	−	0.842323i	$-0.318813\pi$
$269$	−6.09275	−	7.03140i	−0.371481	−	0.428712i	−0.910454	+	0.413611i	$0.864267\pi$
$270$	0.448216	+	0.981456i	0.0272775	+	0.0597295i
$271$	−18.6881	+	5.48731i	−1.13522	+	0.333330i	−0.794757	−	0.606928i	$-0.792402\pi$
$271$	−18.6881	+	5.48731i	−1.13522	+	0.333330i	−0.340462	+	0.940258i	$0.610583\pi$
$272$	−2.14125	+	4.68868i	−0.129832	+	0.284293i
$273$	−0.794497	+	5.52585i	−0.0480852	+	0.334440i
$274$	7.81198	−	5.02046i	0.471939	−	0.303297i
$275$	−10.1634			−0.612879
$276$	−1.67494	+	4.49384i	−0.100820	+	0.270497i
$277$	16.9924			1.02097			0.510486	−	0.859886i	$-0.329466\pi$
$277$	16.9924			1.02097			0.510486	+	0.859886i	$0.329466\pi$
$278$	17.1802	−	11.0410i	1.03040	−	0.662197i
$279$	1.22160	−	8.49643i	0.0731354	−	0.508668i
$280$	0.448216	−	0.981456i	0.0267860	−	0.0586532i
$281$	−25.3901	+	7.45519i	−1.51464	+	0.444739i	−0.930310	−	0.366774i	$-0.880462\pi$
$281$	−25.3901	+	7.45519i	−1.51464	+	0.444739i	−0.584334	+	0.811514i	$0.698644\pi$
$282$	−1.44198	−	3.15750i	−0.0858687	−	0.188026i
$283$	−11.8713	−	13.7002i	−0.705675	−	0.814392i	0.283833	−	0.958874i	$-0.408394\pi$
$283$	−11.8713	−	13.7002i	−0.705675	−	0.814392i	−0.989507	+	0.144482i	$0.953849\pi$
$284$	0.232042	+	1.61388i	0.0137691	+	0.0957664i
$285$	−1.86955	−	0.548950i	−0.110743	−	0.0325170i
$286$	9.68659	−	11.1789i	0.572780	−	0.661023i
$287$	−7.19557	−	4.62431i	−0.424741	−	0.272964i
$288$	−0.841254	−	0.540641i	−0.0495713	−	0.0318576i
$289$	−6.26617	+	7.23154i	−0.368598	+	0.425385i
$290$	−1.19314	−	0.350338i	−0.0700638	−	0.0205726i
$291$	0.0591299	+	0.411257i	0.00346625	+	0.0241083i
$292$	−1.14078	−	1.31653i	−0.0667590	−	0.0770440i
$293$	2.12382	+	4.65053i	0.124075	+	0.271687i	0.961469	−	0.274913i	$-0.0886491\pi$
$293$	2.12382	+	4.65053i	0.124075	+	0.271687i	−0.837394	+	0.546600i	$0.815922\pi$
$294$	−0.959493	+	0.281733i	−0.0559588	+	0.0164310i
$295$	4.25218	−	9.31098i	0.247572	−	0.542106i
$296$	0.102397	−	0.712190i	0.00595173	−	0.0413952i
$297$	−2.22898	+	1.43248i	−0.129339	+	0.0831209i
$298$	−3.60783			−0.208996
$299$	23.5015	+	12.8258i	1.35913	+	0.741737i
$300$	3.83585			0.221463
$301$	−3.89047	+	2.50025i	−0.224243	+	0.144112i
$302$	−2.01055	+	13.9837i	−0.115694	+	0.804672i
$303$	1.61352	−	3.53311i	0.0926941	−	0.202972i
$304$	1.73274	−	0.508778i	0.0993793	−	0.0291804i
$305$	−2.67522	−	5.85791i	−0.153183	−	0.335423i
$306$	−3.37547	−	3.89550i	−0.192963	−	0.222691i
$307$	−3.91368	−	27.2203i	−0.223366	−	1.55354i	−0.725176	−	0.688564i	$-0.758241\pi$
$307$	−3.91368	−	27.2203i	−0.223366	−	1.55354i	0.501810	−	0.864978i	$-0.332668\pi$
$308$	2.54227	+	0.746477i	0.144859	+	0.0425345i
$309$	3.67263	−	4.23844i	0.208928	−	0.241116i
$310$	7.79133	+	5.00718i	0.442518	+	0.284389i
$311$	1.88034	+	1.20842i	0.106624	+	0.0685231i	0.592866	−	0.805301i	$-0.297996\pi$
$311$	1.88034	+	1.20842i	0.106624	+	0.0685231i	−0.486242	+	0.873824i	$0.661633\pi$
$312$	−3.65587	+	4.21910i	−0.206973	+	0.238860i
$313$	4.01463	+	1.17880i	0.226920	+	0.0666298i	0.393216	−	0.919446i	$-0.371362\pi$
$313$	4.01463	+	1.17880i	0.226920	+	0.0666298i	−0.166296	+	0.986076i	$0.553181\pi$
$314$	−0.501478	−	3.48785i	−0.0283000	−	0.196831i
$315$	0.706568	+	0.815423i	0.0398106	+	0.0459439i
$316$	5.54046	+	12.1319i	0.311675	+	0.682474i
$317$	−23.6302	+	6.93845i	−1.32720	+	0.389702i	−0.867087	−	0.498156i	$-0.834011\pi$
$317$	−23.6302	+	6.93845i	−1.32720	+	0.389702i	−0.460117	+	0.887858i	$0.652193\pi$
$318$	−3.31408	+	7.25682i	−0.185844	+	0.406942i
$319$	0.434586	−	3.02261i	0.0243321	−	0.169234i
$320$	0.907678	−	0.583329i	0.0507407	−	0.0326091i
$321$	−12.3607			−0.689906
$322$	−0.341036	+	4.78369i	−0.0190052	+	0.266585i
$323$	9.30842			0.517934
$324$	0.841254	−	0.540641i	0.0467363	−	0.0300356i
$325$	3.04757	−	21.1963i	0.169049	−	1.17576i
$326$	5.18018	−	11.3430i	0.286903	−	0.628231i
$327$	−2.69971	+	0.792706i	−0.149294	+	0.0438367i
$328$	−3.55321	−	7.78044i	−0.196193	−	0.429603i
$329$	−2.27314	−	2.62334i	−0.125322	−	0.144630i
$330$	−0.406850	−	2.82971i	−0.0223964	−	0.155770i
$331$	16.4192	+	4.82111i	0.902481	+	0.264992i	0.699873	−	0.714268i	$-0.253240\pi$
$331$	16.4192	+	4.82111i	0.902481	+	0.264992i	0.202608	+	0.979260i	$0.435058\pi$
$332$	3.40143	−	3.92546i	0.186678	−	0.215437i
$333$	0.605293	+	0.388998i	0.0331699	+	0.0213170i
$334$	3.39749	+	2.18344i	0.185903	+	0.119472i
$335$	−5.53524	+	6.38801i	−0.302423	+	0.349014i
$336$	−0.959493	−	0.281733i	−0.0523446	−	0.0153698i
$337$	3.08321	+	21.4442i	0.167953	+	1.16814i	0.883106	+	0.469173i	$0.155448\pi$
$337$	3.08321	+	21.4442i	0.167953	+	1.16814i	−0.715153	+	0.698968i	$0.753643\pi$
$338$	11.8964	+	13.7291i	0.647076	+	0.746766i
$339$	3.29050	+	7.20518i	0.178715	+	0.391332i
$340$	5.33620	−	1.56685i	0.289396	−	0.0849743i
$341$	−9.44803	+	20.6883i	−0.511640	+	1.12033i
$342$	−0.257005	+	1.78751i	−0.0138972	+	0.0966573i
$343$	−0.841254	+	0.540641i	−0.0454234	+	0.0291919i
$344$	−4.62461			−0.249342
$345$	4.84784	−	1.80941i	0.260999	−	0.0974155i
$346$	−13.6920			−0.736087
$347$	28.6395	−	18.4055i	1.53745	−	0.988058i	0.549116	−	0.835746i	$-0.314964\pi$
$347$	28.6395	−	18.4055i	1.53745	−	0.988058i	0.988332	−	0.152312i	$-0.0486719\pi$
$348$	−0.164020	+	1.14078i	−0.00879238	+	0.0611523i
$349$	12.2482	−	26.8199i	0.655632	−	1.43563i	−0.230905	−	0.972976i	$-0.574169\pi$
$349$	12.2482	−	26.8199i	0.655632	−	1.43563i	0.886537	−	0.462657i	$-0.153104\pi$
$350$	3.68047	−	1.08068i	0.196729	−	0.0577649i
$351$	−2.31913	−	5.07818i	−0.123786	−	0.271053i
$352$	1.73512	+	2.00243i	0.0924820	+	0.106730i
$353$	−2.97634	−	20.7009i	−0.158414	−	1.10180i	−0.901556	−	0.432662i	$-0.857574\pi$
$353$	−2.97634	−	20.7009i	−0.158414	−	1.10180i	0.743142	−	0.669134i	$-0.233335\pi$
$354$	−9.10262	−	2.67277i	−0.483799	−	0.142056i
$355$	1.15204	−	1.32953i	0.0611442	−	0.0705642i
$356$	9.25049	+	5.94493i	0.490275	+	0.315081i
$357$	−4.33623	−	2.78672i	−0.229497	−	0.147489i
$358$	−4.20318	+	4.85073i	−0.222145	+	0.256369i
$359$	13.4171	+	3.93963i	0.708129	+	0.207926i	0.615914	−	0.787814i	$-0.288787\pi$
$359$	13.4171	+	3.93963i	0.708129	+	0.207926i	0.0922155	+	0.995739i	$0.470605\pi$
$360$	0.153552	+	1.06798i	0.00809289	+	0.0562873i
$361$	10.3067	+	11.8946i	0.542458	+	0.626030i
$362$	3.74379	+	8.19776i	0.196769	+	0.430865i
$363$	−3.81844	+	1.12119i	−0.200416	+	0.0588475i
$364$	−2.31913	+	5.07818i	−0.121555	+	0.266169i
$365$	−0.267490	+	1.86043i	−0.0140011	+	0.0973796i
$366$	−5.02110	+	3.22687i	−0.262457	+	0.168671i
$367$	−31.5529			−1.64705			−0.823525	−	0.567280i	$-0.807996\pi$
$367$	−31.5529			−1.64705			−0.823525	+	0.567280i	$0.807996\pi$
$368$	−2.87316	+	3.83992i	−0.149774	+	0.200170i
$369$	8.55339			0.445272
$370$	−0.653087	+	0.419713i	−0.0339524	+	0.0218199i
$371$	−1.13535	+	7.89655i	−0.0589446	+	0.409969i
$372$	3.56584	−	7.80810i	0.184880	−	0.404831i
$373$	−24.0974	+	7.07562i	−1.24771	+	0.366362i	−0.837908	−	0.545811i	$-0.816222\pi$
$373$	−24.0974	+	7.07562i	−1.24771	+	0.366362i	−0.409806	+	0.912173i	$0.634403\pi$
$374$	5.67345	+	12.4231i	0.293367	+	0.642384i
$375$	−6.24313	−	7.20495i	−0.322394	−	0.372062i
$376$	−0.494000	−	3.43585i	−0.0254761	−	0.177190i
$377$	6.17347	+	1.81270i	0.317950	+	0.0933586i
$378$	0.654861	−	0.755750i	0.0336824	−	0.0388716i
$379$	−30.3276	−	19.4904i	−1.55783	−	1.00115i	−0.983156	−	0.182768i	$-0.941494\pi$
$379$	−30.3276	−	19.4904i	−1.55783	−	1.00115i	−0.574670	−	0.818386i	$-0.694869\pi$
$380$	−1.63917	−	1.05343i	−0.0840874	−	0.0540397i
$381$	−4.26492	+	4.92198i	−0.218499	+	0.252161i
$382$	15.0158	+	4.40903i	0.768275	+	0.225586i
$383$	5.45552	+	37.9440i	0.278764	+	1.93885i	0.339297	+	0.940679i	$0.389811\pi$
$383$	5.45552	+	37.9440i	0.278764	+	1.93885i	−0.0605330	+	0.998166i	$0.519280\pi$
$384$	−0.654861	−	0.755750i	−0.0334182	−	0.0385667i
$385$	−1.18759	−	2.60046i	−0.0605252	−	0.132532i
$386$	−25.4372	+	7.46905i	−1.29472	+	0.380164i
$387$	1.92113	−	4.20670i	0.0976567	−	0.213838i
$388$	−0.0591299	+	0.411257i	−0.00300186	+	0.0208784i
$389$	17.3485	−	11.1492i	0.879606	−	0.565289i	−0.0210708	−	0.999778i	$-0.506708\pi$
$389$	17.3485	−	11.1492i	0.879606	−	0.565289i	0.900677	+	0.434489i	$0.143071\pi$
$390$	6.02347			0.305010
$391$	−19.7860	+	14.8187i	−1.00062	+	0.749413i
$392$	−1.00000			−0.0505076
$393$	−3.74192	+	2.40479i	−0.188755	+	0.121305i
$394$	−2.80427	+	19.5041i	−0.141277	+	0.982604i
$395$	5.97793	−	13.0898i	0.300782	−	0.658621i
$396$	−2.54227	+	0.746477i	−0.127754	+	0.0375119i
$397$	2.65920	+	5.82284i	0.133461	+	0.292240i	0.964550	−	0.263900i	$-0.0850090\pi$
$397$	2.65920	+	5.82284i	0.133461	+	0.292240i	−0.831088	+	0.556140i	$0.812282\pi$
$398$	−2.17812	−	2.51369i	−0.109179	−	0.126000i
$399$	0.257005	+	1.78751i	0.0128663	+	0.0894873i
$400$	3.68047	+	1.08068i	0.184023	+	0.0540342i
$401$	−9.78926	+	11.2974i	−0.488852	+	0.564165i	−0.945559	−	0.325452i	$-0.894484\pi$
$401$	−9.78926	+	11.2974i	−0.488852	+	0.564165i	0.456706	+	0.889617i	$0.349029\pi$
$402$	6.59037	+	4.23537i	0.328698	+	0.211241i
$403$	−40.3133	−	25.9078i	−2.00815	−	1.29056i
$404$	2.54355	−	2.93541i	0.126546	−	0.146042i
$405$	−1.03525	−	0.303978i	−0.0514422	−	0.0151048i
$406$	0.164020	+	1.14078i	0.00814016	+	0.0566160i
$407$	−1.24844	−	1.44078i	−0.0618828	−	0.0714166i
$408$	−2.14125	−	4.68868i	−0.106008	−	0.232124i
$409$	14.8158	−	4.35032i	0.732596	−	0.215110i	0.105904	−	0.994376i	$-0.466226\pi$
$409$	14.8158	−	4.35032i	0.732596	−	0.215110i	0.626693	+	0.779267i	$0.284408\pi$
$410$	−3.83376	+	8.39477i	−0.189336	+	0.414588i
$411$	−1.32155	+	9.19160i	−0.0651874	+	0.453388i
$412$	4.71797	−	3.03205i	0.232437	−	0.149378i
$413$	−9.48691			−0.466820
$414$	−2.29936	−	4.20867i	−0.113007	−	0.206845i
$415$	−5.60425			−0.275102
$416$	−4.69644	+	3.01822i	−0.230262	+	0.147980i
$417$	−2.90637	+	20.2142i	−0.142326	+	0.989896i
$418$	1.98771	−	4.35247i	0.0972220	−	0.212886i
$419$	−17.9288	+	5.26437i	−0.875879	+	0.257181i	−0.688614	−	0.725128i	$-0.741780\pi$
$419$	−17.9288	+	5.26437i	−0.875879	+	0.257181i	−0.187265	+	0.982309i	$0.559962\pi$
$420$	0.448216	+	0.981456i	0.0218707	+	0.0478901i
$421$	−14.2309	−	16.4233i	−0.693571	−	0.800423i	0.294298	−	0.955714i	$-0.404914\pi$
$421$	−14.2309	−	16.4233i	−0.693571	−	0.800423i	−0.987869	+	0.155290i	$0.950369\pi$
$422$	−0.0572736	−	0.398347i	−0.00278804	−	0.0193912i
$423$	3.33057	+	0.977944i	0.161938	+	0.0475493i
$424$	−5.22432	+	6.02919i	−0.253715	+	0.292803i
$425$	16.6331	+	10.6894i	0.806824	+	0.518514i
$426$	−1.37165	−	0.881504i	−0.0664565	−	0.0427090i
$427$	−3.90860	+	4.51077i	−0.189150	+	0.218291i
$428$	−11.8600	−	3.48241i	−0.573274	−	0.168329i
$429$	2.10510	+	14.6413i	0.101635	+	0.706887i
$430$	3.26760	+	3.77101i	0.157578	+	0.181854i
$431$	−5.72074	−	12.5267i	−0.275559	−	0.603389i	0.720365	−	0.693596i	$-0.243975\pi$
$431$	−5.72074	−	12.5267i	−0.275559	−	0.603389i	−0.995923	+	0.0902066i	$0.971247\pi$
$432$	0.959493	−	0.281733i	0.0461636	−	0.0135549i
$433$	−8.24139	+	18.0461i	−0.396056	+	0.867241i	0.601599	+	0.798798i	$0.294530\pi$
$433$	−8.24139	+	18.0461i	−0.396056	+	0.867241i	−0.997655	+	0.0684430i	$0.978197\pi$
$434$	1.22160	−	8.49643i	0.0586388	−	0.407842i
$435$	1.04611	−	0.672294i	0.0501572	−	0.0322340i
$436$	−2.81368			−0.134751
$437$	8.46323	+	1.83904i	0.404851	+	0.0879730i
$438$	1.74202			0.0832368
$439$	−19.7118	+	12.6680i	−0.940793	+	0.604611i	−0.918620	−	0.395143i	$-0.870695\pi$
$439$	−19.7118	+	12.6680i	−0.940793	+	0.604611i	−0.0221736	+	0.999754i	$0.507059\pi$
$440$	0.406850	−	2.82971i	0.0193958	−	0.134901i
$441$	0.415415	−	0.909632i	0.0197817	−	0.0433158i
$442$	−27.6102	+	8.10708i	−1.31328	+	0.385614i
$443$	−6.12407	−	13.4098i	−0.290963	−	0.637121i	0.706545	−	0.707668i	$-0.250253\pi$
$443$	−6.12407	−	13.4098i	−0.290963	−	0.637121i	−0.997508	+	0.0705471i	$0.977525\pi$
$444$	0.471181	+	0.543772i	0.0223613	+	0.0258063i
$445$	−1.68847	−	11.7436i	−0.0800411	−	0.556698i
$446$	−23.5132	−	6.90411i	−1.11338	−	0.326919i
$447$	2.36263	−	2.72662i	0.111748	−	0.128965i
$448$	−0.841254	−	0.540641i	−0.0397455	−	0.0255429i
$449$	27.3935	+	17.6047i	1.29278	+	0.830818i	0.992406	−	0.123004i	$-0.0392529\pi$
$449$	27.3935	+	17.6047i	1.29278	+	0.830818i	0.300372	+	0.953822i	$0.402889\pi$
$450$	−2.51195	+	2.89894i	−0.118414	+	0.136657i
$451$	−21.7450	−	6.38491i	−1.02393	−	0.300654i
$452$	1.12727	+	7.84036i	0.0530225	+	0.368780i
$453$	−9.25155	−	10.6769i	−0.434676	−	0.501643i
$454$	6.36791	+	13.9438i	0.298861	+	0.654414i
$455$	5.77948	−	1.69701i	0.270946	−	0.0795570i
$456$	−0.750193	+	1.64269i	−0.0351310	+	0.0769262i
$457$	0.108387	−	0.753848i	0.00507013	−	0.0352635i	−0.987129	−	0.159924i	$-0.948875\pi$
$457$	0.108387	−	0.753848i	0.00507013	−	0.0352635i	0.992199	+	0.124661i	$0.0397842\pi$
$458$	−19.5841	+	12.5859i	−0.915106	+	0.588103i
$459$	5.15448			0.240591
$460$	5.16124	−	0.370326i	0.240644	−	0.0172665i
$461$	−12.2824			−0.572049			−0.286024	−	0.958222i	$-0.592334\pi$
$461$	−12.2824			−0.572049			−0.286024	+	0.958222i	$0.592334\pi$
$462$	−2.22898	+	1.43248i	−0.103702	+	0.0666450i
$463$	−2.97558	+	20.6956i	−0.138287	+	0.961806i	0.796003	+	0.605292i	$0.206944\pi$
$463$	−2.97558	+	20.6956i	−0.138287	+	0.961806i	−0.934290	+	0.356514i	$0.883965\pi$
$464$	−0.478771	+	1.04836i	−0.0222264	+	0.0486690i
$465$	−8.88641	+	2.60929i	−0.412097	+	0.121003i
$466$	3.36162	+	7.36093i	0.155724	+	0.340989i
$467$	−17.2478	−	19.9051i	−0.798134	−	0.921096i	0.200143	−	0.979767i	$-0.435859\pi$
$467$	−17.2478	−	19.9051i	−0.798134	−	0.921096i	−0.998277	+	0.0586707i	$0.981314\pi$
$468$	−0.794497	−	5.52585i	−0.0367256	−	0.255432i
$469$	7.51665	+	2.20709i	0.347087	+	0.101914i
$470$	−2.45262	+	2.83048i	−0.113131	+	0.130560i
$471$	2.96434	+	1.90507i	0.136590	+	0.0877808i
$472$	−7.98090	−	5.12901i	−0.367351	−	0.236082i
$473$	−8.02424	+	9.26047i	−0.368955	+	0.425797i
$474$	−12.7969	−	3.75751i	−0.587782	−	0.172588i
$475$	−0.985831	−	6.85660i	−0.0452330	−	0.314603i
$476$	−3.37547	−	3.89550i	−0.154714	−	0.178550i
$477$	−3.31408	−	7.25682i	−0.151741	−	0.332267i
$478$	−18.0387	+	5.29664i	−0.825071	+	0.242263i
$479$	−3.54293	+	7.75793i	−0.161880	+	0.354469i	−0.973139	−	0.230219i	$-0.926056\pi$
$479$	−3.54293	+	7.75793i	−0.161880	+	0.354469i	0.811258	+	0.584688i	$0.198783\pi$
$480$	−0.153552	+	1.06798i	−0.00700865	+	0.0487462i
$481$	3.37915	−	2.17165i	0.154076	−	0.0990187i
$482$	−7.40719			−0.337388
$483$	−3.39194	−	3.39039i	−0.154339	−	0.154268i
$484$	−3.97964			−0.180893
$485$	0.377128	−	0.242365i	0.0171245	−	0.0110052i
$486$	−0.142315	+	0.989821i	−0.00645553	+	0.0448992i
$487$	7.81325	−	17.1086i	0.354052	−	0.775266i	−0.645878	−	0.763441i	$-0.723509\pi$
$487$	7.81325	−	17.1086i	0.354052	−	0.775266i	0.999930	−	0.0118253i	$-0.00376419\pi$
$488$	−5.72683	+	1.68155i	−0.259241	+	0.0761201i
$489$	5.18018	+	11.3430i	0.234256	+	0.512948i
$490$	0.706568	+	0.815423i	0.0319195	+	0.0368370i
$491$	1.25102	+	8.70103i	0.0564577	+	0.392672i	0.998383	+	0.0568489i	$0.0181053\pi$
$491$	1.25102	+	8.70103i	0.0564577	+	0.392672i	−0.941925	+	0.335823i	$0.890986\pi$
$492$	8.20692	+	2.40977i	0.369996	+	0.108641i
$493$	−3.89027	+	4.48961i	−0.175209	+	0.202202i
$494$	8.48125	+	5.45057i	0.381590	+	0.245233i
$495$	2.40498	+	1.54559i	0.108096	+	0.0694690i
$496$	5.62119	−	6.48720i	0.252399	−	0.291284i
$497$	−1.56443	−	0.459359i	−0.0701745	−	0.0206051i
$498$	0.739201	+	5.14125i	0.0331244	+	0.230385i
$499$	28.5386	+	32.9353i	1.27756	+	1.47439i	0.805228	+	0.592965i	$0.202043\pi$
$499$	28.5386	+	32.9353i	1.27756	+	1.47439i	0.472334	+	0.881420i	$0.343412\pi$
$500$	−3.96037	−	8.67199i	−0.177113	−	0.387823i
$501$	−3.87502	+	1.13781i	−0.173123	+	0.0508335i
$502$	10.9378	−	23.9505i	0.488179	−	1.06896i
$503$	−4.96322	+	34.5200i	−0.221299	+	1.53917i	0.511834	+	0.859084i	$0.328966\pi$
$503$	−4.96322	+	34.5200i	−0.221299	+	1.53917i	−0.733133	+	0.680085i	$0.761943\pi$
$504$	0.841254	−	0.540641i	0.0374724	−	0.0240821i
$505$	−4.19079			−0.186488
$506$	2.70391	+	12.4160i	0.120204	+	0.551959i
$507$	−18.1662			−0.806791
$508$	−5.47885	+	3.52104i	−0.243085	+	0.156221i
$509$	−1.28554	+	8.94112i	−0.0569805	+	0.396308i	0.941294	+	0.337588i	$0.109611\pi$
$509$	−1.28554	+	8.94112i	−0.0569805	+	0.396308i	−0.998274	+	0.0587202i	$0.981298\pi$
$510$	−2.31032	+	5.05890i	−0.102303	+	0.224012i
$511$	1.67145	−	0.490783i	0.0739407	−	0.0217110i
$512$	−0.415415	−	0.909632i	−0.0183589	−	0.0402004i
$513$	−1.18261	−	1.36480i	−0.0522133	−	0.0602574i
$514$	0.556853	+	3.87300i	0.0245617	+	0.170831i
$515$	−5.80597	−	1.70479i	−0.255841	−	0.0751218i
$516$	3.02848	−	3.49505i	0.133321	−	0.153861i
$517$	−7.73719	−	4.97239i	−0.340281	−	0.218686i
$518$	0.605293	+	0.388998i	0.0265951	+	0.0170916i
$519$	8.96636	−	10.3477i	0.393579	−	0.454215i
$520$	5.77948	+	1.69701i	0.253447	+	0.0744188i
$521$	3.83040	+	26.6410i	0.167813	+	1.16717i	0.883392	+	0.468634i	$0.155254\pi$
$521$	3.83040	+	26.6410i	0.167813	+	1.16717i	−0.715579	+	0.698531i	$0.753837\pi$
$522$	−0.754735	−	0.871011i	−0.0330339	−	0.0381231i
$523$	−10.7151	−	23.4629i	−0.468540	−	1.02596i	−0.985457	−	0.169924i	$-0.945648\pi$
$523$	−10.7151	−	23.4629i	−0.468540	−	1.02596i	0.516917	−	0.856036i	$-0.327080\pi$
$524$	−4.26785	+	1.25316i	−0.186442	+	0.0547443i
$525$	−1.59347	+	3.48921i	−0.0695447	+	0.152282i
$526$	−2.59670	+	18.0604i	−0.113221	+	0.787471i
$527$	37.2213	−	23.9207i	1.62139	−	1.04200i
$528$	−2.64960			−0.115309
$529$	−20.9172	+	9.56412i	−0.909442	+	0.415831i
$530$	8.60767			0.373893
$531$	7.98090	−	5.12901i	0.346341	−	0.222580i
$532$	−0.257005	+	1.78751i	−0.0111426	+	0.0774983i
$533$	19.8364	−	43.4356i	0.859209	−	1.88141i
$534$	−10.5507	+	3.09795i	−0.456572	+	0.134062i
$535$	5.54025	+	12.1315i	0.239526	+	0.524489i
$536$	5.13017	+	5.92053i	0.221590	+	0.255728i
$537$	−0.913439	−	6.35310i	−0.0394178	−	0.274157i
$538$	8.92701	+	2.62121i	0.384871	+	0.113008i
$539$	−1.73512	+	2.00243i	−0.0747367	+	0.0862508i
$540$	−0.907678	−	0.583329i	−0.0390602	−	0.0251025i
$541$	13.0085	+	8.36003i	0.559277	+	0.359426i	0.789537	−	0.613704i	$-0.210321\pi$
$541$	13.0085	+	8.36003i	0.559277	+	0.359426i	−0.230259	+	0.973129i	$0.573957\pi$
$542$	12.7547	−	14.7197i	0.547863	−	0.632267i
$543$	−8.64712	−	2.53902i	−0.371083	−	0.108960i
$544$	−0.733560	−	5.10202i	−0.0314511	−	0.218747i
$545$	1.98806	+	2.29434i	0.0851590	+	0.0982788i
$546$	−2.31913	−	5.07818i	−0.0992494	−	0.217326i
$547$	13.2848	−	3.90078i	0.568018	−	0.166785i	0.0149014	−	0.999889i	$-0.495257\pi$
$547$	13.2848	−	3.90078i	0.568018	−	0.166785i	0.553117	+	0.833104i	$0.313438\pi$
$548$	−3.85759	+	8.44695i	−0.164788	+	0.360836i
$549$	0.849420	−	5.90785i	0.0362524	−	0.252141i
$550$	8.55003	−	5.49477i	0.364575	−	0.234298i
$551$	2.08131			0.0886667
$552$	−1.02050	−	4.68600i	−0.0434353	−	0.199449i
$553$	−13.3372			−0.567154
$554$	−14.2949	+	9.18676i	−0.607331	+	0.390308i
$555$	0.110483	−	0.768424i	0.00468973	−	0.0326178i
$556$	−8.48365	+	18.5766i	−0.359787	+	0.787823i
$557$	19.0240	−	5.58596i	0.806074	−	0.236685i	0.147365	−	0.989082i	$-0.452921\pi$
$557$	19.0240	−	5.58596i	0.806074	−	0.236685i	0.658709	+	0.752398i	$0.271103\pi$
$558$	3.56584	+	7.80810i	0.150954	+	0.330543i
$559$	−16.9070	−	19.5117i	−0.715090	−	0.825258i
$560$	0.153552	+	1.06798i	0.00648875	+	0.0451303i
$561$	−13.1041	−	3.84771i	−0.553255	−	0.162450i
$562$	17.3289	−	19.9986i	0.730975	−	0.843590i
$563$	12.7587	+	8.19953i	0.537716	+	0.345569i	0.781145	−	0.624350i	$-0.214636\pi$
$563$	12.7587	+	8.19953i	0.537716	+	0.345569i	−0.243429	+	0.969919i	$0.578272\pi$
$564$	2.92014	+	1.87666i	0.122960	+	0.0790217i
$565$	5.59671	−	6.45895i	0.235456	−	0.271730i
$566$	17.3936	+	5.10724i	0.731109	+	0.214673i
$567$	0.142315	+	0.989821i	0.00597666	+	0.0415686i
$568$	−1.06774	−	1.23223i	−0.0448013	−	0.0517034i
$569$	5.50425	+	12.0526i	0.230750	+	0.505272i	0.989220	−	0.146436i	$-0.0467802\pi$
$569$	5.50425	+	12.0526i	0.230750	+	0.505272i	−0.758470	+	0.651708i	$0.774053\pi$
$570$	1.86955	−	0.548950i	0.0783069	−	0.0229930i
$571$	−3.35007	+	7.33564i	−0.140196	+	0.306987i	−0.966686	−	0.255965i	$-0.917607\pi$
$571$	−3.35007	+	7.33564i	−0.140196	+	0.306987i	0.826490	+	0.562951i	$0.190334\pi$
$572$	−2.10510	+	14.6413i	−0.0880185	+	0.612182i
$573$	−13.1654	+	8.46087i	−0.549992	+	0.353458i
$574$	8.55339			0.357012
$575$	13.0110	+	13.0050i	0.542595	+	0.542347i
$576$	1.00000			0.0416667
$577$	15.8404	−	10.1800i	0.659445	−	0.423800i	−0.167661	−	0.985845i	$-0.553622\pi$
$577$	15.8404	−	10.1800i	0.659445	−	0.423800i	0.827107	+	0.562045i	$0.189985\pi$
$578$	1.36177	−	9.47131i	0.0566421	−	0.393954i
$579$	11.0131	−	24.1154i	0.457690	−	1.00220i
$580$	1.19314	−	0.350338i	0.0495426	−	0.0145470i
$581$	2.15772	+	4.72474i	0.0895172	+	0.196015i
$582$	−0.272086	−	0.314004i	−0.0112783	−	0.0130159i
$583$	3.00823	+	20.9227i	0.124588	+	0.866529i
$584$	1.67145	+	0.490783i	0.0691652	+	0.0203087i
$585$	−3.94454	+	4.55224i	−0.163087	+	0.188212i
$586$	−4.30094	−	2.76405i	−0.177670	−	0.114182i
$587$	−39.5051	−	25.3884i	−1.63055	−	1.04789i	−0.948593	−	0.316498i	$-0.897493\pi$
$587$	−39.5051	−	25.3884i	−1.63055	−	1.04789i	−0.681956	−	0.731393i	$-0.738871\pi$
$588$	0.654861	−	0.755750i	0.0270060	−	0.0311666i
$589$	−14.8735	−	4.36725i	−0.612851	−	0.179949i
$590$	1.45673	+	10.1318i	0.0599727	+	0.417120i
$591$	−12.9038	−	14.8918i	−0.530793	−	0.612567i
$592$	0.298897	+	0.654492i	0.0122846	+	0.0268995i
$593$	−1.20909	+	0.355021i	−0.0496514	+	0.0145790i	−0.306464	−	0.951882i	$-0.599146\pi$
$593$	−1.20909	+	0.355021i	−0.0496514	+	0.0145790i	0.256813	+	0.966461i	$0.417328\pi$
$594$	1.10068	−	2.41016i	0.0451615	−	0.0988899i
$595$	−0.791481	+	5.50487i	−0.0324475	+	0.225678i
$596$	3.03510	−	1.95054i	0.124323	−	0.0798972i
$597$	3.32608			0.136128
$598$	−26.7049	+	1.91611i	−1.09204	+	0.0783557i
$599$	−24.9564			−1.01969			−0.509846	−	0.860266i	$-0.670298\pi$
$599$	−24.9564			−1.01969			−0.509846	+	0.860266i	$0.670298\pi$
$600$	−3.22692	+	2.07382i	−0.131738	+	0.0846632i
$601$	4.97988	−	34.6358i	0.203134	−	1.41283i	−0.591779	−	0.806101i	$-0.701574\pi$
$601$	4.97988	−	34.6358i	0.203134	−	1.41283i	0.794912	−	0.606724i	$-0.207517\pi$
$602$	1.92113	−	4.20670i	0.0782996	−	0.171452i
$603$	−7.51665	+	2.20709i	−0.306102	+	0.0898796i
$604$	−5.86878	−	12.8508i	−0.238797	−	0.522893i
$605$	2.81189	+	3.24509i	0.114319	+	0.131932i
$606$	0.552766	+	3.84457i	0.0224546	+	0.156175i
$607$	6.89943	+	2.02585i	0.280039	+	0.0822269i	0.418736	−	0.908108i	$-0.362473\pi$
$607$	6.89943	+	2.02585i	0.280039	+	0.0822269i	−0.138697	+	0.990335i	$0.544291\pi$
$608$	−1.18261	+	1.36480i	−0.0479610	+	0.0553499i
$609$	−0.969555	−	0.623095i	−0.0392884	−	0.0252491i
$610$	5.41757	+	3.48166i	0.219351	+	0.140968i
$611$	12.6902	−	14.6453i	0.513390	−	0.592484i
$612$	4.94569	+	1.45219i	0.199918	+	0.0587011i
$613$	0.677924	+	4.71506i	0.0273811	+	0.190440i	0.998921	−	0.0464350i	$-0.0147860\pi$
$613$	0.677924	+	4.71506i	0.0273811	+	0.190440i	−0.971540	+	0.236875i	$0.923877\pi$
$614$	18.0088	+	20.7832i	0.726775	+	0.838743i
$615$	−3.83376	−	8.39477i	−0.154592	−	0.338510i
$616$	−2.54227	+	0.746477i	−0.102431	+	0.0300764i
$617$	−18.8132	+	41.1951i	−0.757390	+	1.65845i	−0.00477844	+	0.999989i	$0.501521\pi$
$617$	−18.8132	+	41.1951i	−0.757390	+	1.65845i	−0.752612	+	0.658465i	$0.771206\pi$
$618$	−0.798138	+	5.55117i	−0.0321058	+	0.223301i
$619$	29.7588	−	19.1248i	1.19611	−	0.768691i	0.217828	−	0.975987i	$-0.430103\pi$
$619$	29.7588	−	19.1248i	1.19611	−	0.768691i	0.978278	+	0.207297i	$0.0664665\pi$
$620$	−9.26157			−0.371954
$621$	4.68646	+	1.01836i	0.188061	+	0.0408652i
$622$	−2.23516			−0.0896217
$623$	−9.25049	+	5.94493i	−0.370613	+	0.238179i
$624$	0.794497	−	5.52585i	0.0318053	−	0.221211i
$625$	3.69427	−	8.08932i	0.147771	−	0.323573i
$626$	−4.01463	+	1.17880i	−0.160457	+	0.0471144i
$627$	1.98771	+	4.35247i	0.0793814	+	0.173821i
$628$	2.30755	+	2.66305i	0.0920811	+	0.106267i
$629$	0.527806	+	3.67097i	0.0210450	+	0.146371i
$630$	−1.03525	−	0.303978i	−0.0412455	−	0.0121108i
$631$	7.10433	−	8.19883i	0.282819	−	0.326390i	−0.596510	−	0.802606i	$-0.703446\pi$
$631$	7.10433	−	8.19883i	0.282819	−	0.326390i	0.879329	+	0.476215i	$0.157992\pi$
$632$	−11.2199	−	7.21062i	−0.446305	−	0.286823i
$633$	0.338557	+	0.217577i	0.0134564	+	0.00864791i
$634$	16.1278	−	18.6125i	0.640516	−	0.739195i
$635$	6.74231	+	1.97972i	0.267561	+	0.0785629i
$636$	−1.13535	−	7.89655i	−0.0450197	−	0.313119i
$637$	−3.65587	−	4.21910i	−0.144851	−	0.167167i
$638$	1.26855	+	2.77774i	0.0502224	+	0.109972i
$639$	1.56443	−	0.459359i	0.0618881	−	0.0181720i
$640$	−0.448216	+	0.981456i	−0.0177173	+	0.0387954i
$641$	−2.59292	+	18.0341i	−0.102414	+	0.712306i	0.872320	+	0.488936i	$0.162615\pi$
$641$	−2.59292	+	18.0341i	−0.102414	+	0.712306i	−0.974734	+	0.223370i	$0.928294\pi$
$642$	10.3985	−	6.68269i	0.410395	−	0.263745i
$643$	−5.90394			−0.232829			−0.116414	−	0.993201i	$-0.537140\pi$
$643$	−5.90394			−0.232829			−0.116414	+	0.993201i	$0.537140\pi$
$644$	−2.29936	−	4.20867i	−0.0906075	−	0.165845i
$645$	−4.98977			−0.196472
$646$	−7.83074	+	5.03251i	−0.308096	+	0.198002i
$647$	2.77604	−	19.3078i	0.109137	−	0.759066i	−0.859598	−	0.510970i	$-0.829286\pi$
$647$	2.77604	−	19.3078i	0.109137	−	0.759066i	0.968736	−	0.248096i	$-0.0798047\pi$
$648$	−0.415415	+	0.909632i	−0.0163190	+	0.0357337i
$649$	−24.1183	+	7.08176i	−0.946725	+	0.277984i
$650$	8.89581	+	19.4791i	0.348923	+	0.764034i
$651$	5.62119	+	6.48720i	0.220312	+	0.254254i
$652$	1.77465	+	12.3430i	0.0695006	+	0.483388i
$653$	34.3244	+	10.0785i	1.34322	+	0.394404i	0.872816	−	0.488049i	$-0.162291\pi$
$653$	34.3244	+	10.0785i	1.34322	+	0.394404i	0.470401	+	0.882453i	$0.344109\pi$
$654$	1.84257	−	2.12644i	0.0720502	−	0.0831504i
$655$	4.03738	+	2.59467i	0.157753	+	0.101382i
$656$	7.19557	+	4.62431i	0.280940	+	0.180549i
$657$	−1.14078	+	1.31653i	−0.0445060	+	0.0513627i
$658$	3.33057	+	0.977944i	0.129839	+	0.0381242i
$659$	3.17611	+	22.0903i	0.123724	+	0.860516i	0.953279	+	0.302092i	$0.0976848\pi$
$659$	3.17611	+	22.0903i	0.123724	+	0.860516i	−0.829555	+	0.558424i	$0.811406\pi$
$660$	1.87212	+	2.16054i	0.0728721	+	0.0840989i
$661$	17.7723	+	38.9160i	0.691264	+	1.51366i	0.850252	+	0.526376i	$0.176449\pi$
$661$	17.7723	+	38.9160i	0.691264	+	1.51366i	−0.158989	+	0.987280i	$0.550823\pi$
$662$	−16.4192	+	4.82111i	−0.638150	+	0.187378i
$663$	11.9539	−	26.1754i	0.464251	−	1.01657i
$664$	−0.739201	+	5.14125i	−0.0286866	+	0.199519i
$665$	1.63917	−	1.05343i	0.0635641	−	0.0408502i
$666$	−0.719513			−0.0278806
$667$	−4.42404	+	3.31337i	−0.171299	+	0.128294i
$668$	−4.03861			−0.156259
$669$	20.6157	−	13.2489i	0.797048	−	0.512231i
$670$	1.20292	−	8.36651i	0.0464730	−	0.323227i
$671$	−6.56953	+	14.3853i	−0.253614	+	0.555337i
$672$	0.959493	−	0.281733i	0.0370132	−	0.0108681i
$673$	3.95609	+	8.66264i	0.152496	+	0.333920i	0.970426	−	0.241397i	$-0.0776058\pi$
$673$	3.95609	+	8.66264i	0.152496	+	0.333920i	−0.817930	+	0.575318i	$0.804878\pi$
$674$	−14.1874	−	16.3731i	−0.546478	−	0.630669i
$675$	−0.545898	−	3.79680i	−0.0210116	−	0.146139i
$676$	−17.4304	−	5.11802i	−0.670399	−	0.196847i
$677$	−29.0812	+	33.5615i	−1.11768	+	1.28987i	−0.164869	+	0.986315i	$0.552720\pi$
$677$	−29.0812	+	33.5615i	−1.11768	+	1.28987i	−0.952813	+	0.303558i	$0.901825\pi$
$678$	−6.66356	−	4.28241i	−0.255912	−	0.164465i
$679$	−0.349529	−	0.224629i	−0.0134137	−	0.00862046i
$680$	−3.64199	+	4.20308i	−0.139664	+	0.161181i
$681$	−14.7081	−	4.31869i	−0.563615	−	0.165492i
$682$	−3.23675	−	22.5121i	−0.123942	−	0.862033i
$683$	11.4319	+	13.1932i	0.437431	+	0.504822i	0.931068	−	0.364846i	$-0.118878\pi$
$683$	11.4319	+	13.1932i	0.437431	+	0.504822i	−0.493637	+	0.869668i	$0.664333\pi$
$684$	−0.750193	−	1.64269i	−0.0286844	−	0.0628100i
$685$	9.61349	−	2.82278i	0.367313	−	0.107853i
$686$	0.415415	−	0.909632i	0.0158606	−	0.0347299i
$687$	3.31304	−	23.0427i	0.126401	−	0.879135i
$688$	3.89047	−	2.50025i	0.148323	−	0.0953213i
$689$	−44.5372			−1.69673
$690$	−3.10002	+	4.14311i	−0.118016	+	0.157726i
$691$	−40.2631			−1.53168			−0.765841	−	0.643030i	$-0.777677\pi$
$691$	−40.2631			−1.53168			−0.765841	+	0.643030i	$0.777677\pi$
$692$	11.5185	−	7.40246i	0.437866	−	0.281399i
$693$	0.377077	−	2.62263i	0.0143240	−	0.0996253i
$694$	−14.1423	+	30.9674i	−0.536835	+	1.17550i
$695$	21.1421	−	6.20787i	0.801964	−	0.235478i
$696$	−0.478771	−	1.04836i	−0.0181478	−	0.0397381i
$697$	28.8717	+	33.3197i	1.09359	+	1.26207i
$698$	4.19605	+	29.1842i	0.158823	+	1.10464i
$699$	−7.76442	−	2.27984i	−0.293677	−	0.0862314i
$700$	−2.51195	+	2.89894i	−0.0949426	+	0.109570i
$701$	22.2554	+	14.3027i	0.840576	+	0.540205i	0.888622	−	0.458640i	$-0.151663\pi$
$701$	22.2554	+	14.3027i	0.840576	+	0.540205i	−0.0480462	+	0.998845i	$0.515299\pi$
$702$	4.69644	+	3.01822i	0.177256	+	0.113915i
$703$	0.850901	−	0.981992i	0.0320923	−	0.0370365i
$704$	−2.54227	−	0.746477i	−0.0958153	−	0.0281339i
$705$	−0.533006	−	3.70714i	−0.0200742	−	0.139619i
$706$	13.6956	+	15.8056i	0.515440	+	0.594850i
$707$	1.61352	+	3.53311i	0.0606825	+	0.132876i
$708$	9.10262	−	2.67277i	0.342098	−	0.100449i
$709$	−8.53562	+	18.6904i	−0.320562	+	0.701933i	−0.999479	−	0.0322825i	$-0.989722\pi$
$709$	−8.53562	+	18.6904i	−0.320562	+	0.701933i	0.678917	+	0.734215i	$0.262450\pi$
$710$	−0.250363	+	1.74131i	−0.00939597	+	0.0653504i
$711$	11.2199	−	7.21062i	0.420781	−	0.270419i
$712$	−10.9961			−0.412096
$713$	38.5676	−	14.3950i	1.44437	−	0.539098i
$714$	5.15448			0.192902
$715$	13.4262	−	8.62850i	0.502112	−	0.322688i
$716$	0.913439	−	6.35310i	0.0341368	−	0.237427i
$717$	7.80990	−	17.1013i	0.291666	−	0.638660i
$718$	−13.4171	+	3.93963i	−0.500723	+	0.147026i
$719$	4.01464	+	8.79084i	0.149721	+	0.327843i	0.969601	−	0.244693i	$-0.0786871\pi$
$719$	4.01464	+	8.79084i	0.149721	+	0.327843i	−0.819880	+	0.572536i	$0.805960\pi$
$720$	−0.706568	−	0.815423i	−0.0263322	−	0.0303890i
$721$	0.798138	+	5.55117i	0.0297242	+	0.206736i
$722$	−15.1012	−	4.43412i	−0.562010	−	0.165021i
$723$	4.85068	−	5.59798i	0.180399	−	0.208191i
$724$	−7.58152	−	4.87235i	−0.281765	−	0.181079i
$725$	3.71907	+	2.39010i	0.138123	+	0.0887660i
$726$	2.60611	−	3.00761i	0.0967219	−	0.111623i
$727$	26.1835	+	7.68816i	0.971091	+	0.285138i	0.728542	−	0.685001i	$-0.240198\pi$
$727$	26.1835	+	7.68816i	0.971091	+	0.285138i	0.242549	+	0.970139i	$0.422017\pi$
$728$	−0.794497	−	5.52585i	−0.0294460	−	0.204802i
$729$	−0.654861	−	0.755750i	−0.0242541	−	0.0279907i
$730$	−0.780800	−	1.70971i	−0.0288987	−	0.0632793i
$731$	22.8719	−	6.71580i	0.845948	−	0.248393i
$732$	2.47945	−	5.42923i	0.0916429	−	0.200670i
$733$	5.88775	−	40.9502i	0.217469	−	1.51253i	−0.529865	−	0.848082i	$-0.677758\pi$
$733$	5.88775	−	40.9502i	0.217469	−	1.51253i	0.747334	−	0.664448i	$-0.231333\pi$
$734$	26.5440	−	17.0588i	0.979758	−	0.629652i
$735$	−1.07896			−0.0397980
$736$	0.341036	−	4.78369i	0.0125708	−	0.176329i
$737$	20.7569			0.764590
$738$	−7.19557	+	4.62431i	−0.264873	+	0.170223i
$739$	−0.246975	+	1.71775i	−0.00908512	+	0.0631884i	−0.993860	−	0.110648i	$-0.964707\pi$
$739$	−0.246975	+	1.71775i	−0.00908512	+	0.0631884i	0.984775	+	0.173837i	$0.0556164\pi$
$740$	0.322497	−	0.706171i	0.0118552	−	0.0259593i
$741$	−9.67330	+	2.84034i	−0.355358	+	0.104342i
$742$	−3.31408	−	7.25682i	−0.121664	−	0.266406i
$743$	−2.05268	−	2.36891i	−0.0753054	−	0.0869070i	0.716847	−	0.697231i	$-0.245585\pi$
$743$	−2.05268	−	2.36891i	−0.0753054	−	0.0869070i	−0.792152	+	0.610324i	$0.791039\pi$
$744$	1.22160	+	8.49643i	0.0447861	+	0.311494i
$745$	−3.73502	−	1.09670i	−0.136841	−	0.0401800i
$746$	16.4466	−	18.9804i	0.602153	−	0.694922i
$747$	−4.36957	−	2.80815i	−0.159874	−	0.102745i
$748$	−11.4892	−	7.38369i	−0.420089	−	0.269975i
$749$	8.09453	−	9.34158i	0.295768	−	0.341334i
$750$	9.14734	+	2.68590i	0.334014	+	0.0980753i
$751$	5.10533	+	35.5083i	0.186296	+	1.29572i	0.841497	+	0.540262i	$0.181675\pi$
$751$	5.10533	+	35.5083i	0.186296	+	1.29572i	−0.655201	+	0.755455i	$0.727416\pi$
$752$	2.27314	+	2.62334i	0.0828928	+	0.0956634i
$753$	10.9378	+	23.9505i	0.398596	+	0.872805i
$754$	−6.17347	+	1.81270i	−0.224825	+	0.0660145i
$755$	−6.33217	+	13.8655i	−0.230451	+	0.504618i
$756$	−0.142315	+	0.989821i	−0.00517594	+	0.0359995i
$757$	30.0466	−	19.3098i	1.09206	−	0.701825i	0.134749	−	0.990880i	$-0.456977\pi$
$757$	30.0466	−	19.3098i	1.09206	−	0.701825i	0.957313	+	0.289055i	$0.0933409\pi$
$758$	36.0505			1.30941
$759$	−11.1541	−	6.08727i	−0.404867	−	0.220954i
$760$	1.94848			0.0706788
$761$	−30.3314	+	19.4928i	−1.09951	+	0.706613i	−0.958983	−	0.283463i	$-0.908517\pi$
$761$	−30.3314	+	19.4928i	−1.09951	+	0.706613i	−0.140529	+	0.990077i	$0.544880\pi$
$762$	0.926856	−	6.44643i	0.0335765	−	0.233529i
$763$	1.16885	−	2.55942i	0.0423151	−	0.0926571i
$764$	−15.0158	+	4.40903i	−0.543252	+	0.159513i
$765$	−2.31032	−	5.05890i	−0.0835298	−	0.182905i
$766$	−25.1035	−	28.9710i	−0.907027	−	1.04677i
$767$	−7.53732	−	52.4232i	−0.272157	−	1.89289i
$768$	0.959493	+	0.281733i	0.0346227	+	0.0101661i
$769$	16.9301	−	19.5384i	0.610515	−	0.704572i	−0.363362	−	0.931648i	$-0.618371\pi$
$769$	16.9301	−	19.5384i	0.610515	−	0.704572i	0.973877	+	0.227076i	$0.0729167\pi$
$770$	2.40498	+	1.54559i	0.0866695	+	0.0556991i
$771$	−3.29168	−	2.11543i	−0.118547	−	0.0761855i
$772$	17.3611	−	20.0358i	0.624839	−	0.721103i
$773$	−21.8971	−	6.42956i	−0.787583	−	0.231255i	−0.136880	−	0.990588i	$-0.543707\pi$
$773$	−21.8971	−	6.42956i	−0.787583	−	0.231255i	−0.650703	+	0.759333i	$0.725526\pi$
$774$	0.658151	+	4.57754i	0.0236568	+	0.164536i
$775$	−21.5620	−	24.8839i	−0.774531	−	0.893857i
$776$	−0.172599	−	0.377940i	−0.00619595	−	0.0135672i
$777$	−0.690368	+	0.202710i	−0.0247668	+	0.00727219i
$778$	−8.56679	+	18.7587i	−0.307134	+	0.672531i
$779$	2.19826	−	15.2892i	0.0787609	−	0.547794i
$780$	−5.06727	+	3.25654i	−0.181437	+	0.116603i
$781$	−4.32011			−0.154586
$782$	8.63347	−	23.1634i	0.308732	−	0.828322i
$783$	1.15251			0.0411874
$784$	0.841254	−	0.540641i	0.0300448	−	0.0193086i
$785$	0.541074	−	3.76325i	0.0193118	−	0.134316i
$786$	1.84778	−	4.04607i	0.0659081	−	0.144319i
$787$	23.1163	−	6.78754i	0.824005	−	0.241950i	0.157565	−	0.987509i	$-0.449635\pi$
$787$	23.1163	−	6.78754i	0.824005	−	0.241950i	0.666440	+	0.745559i	$0.267817\pi$
$788$	−8.18562	−	17.9240i	−0.291601	−	0.638517i
$789$	−11.9487	−	13.7895i	−0.425384	−	0.490919i
$790$	2.04795	+	14.2438i	0.0728627	+	0.506771i
$791$	−7.60013	−	2.23160i	−0.270230	−	0.0793465i
$792$	1.73512	−	2.00243i	0.0616547	−	0.0711533i
$793$	−28.0312	−	18.0145i	−0.995416	−	0.639715i
$794$	−5.38513	−	3.46081i	−0.191111	−	0.122820i
$795$	−5.63683	+	6.50524i	−0.199918	+	0.230717i
$796$	3.19135	+	0.937066i	0.113115	+	0.0332134i
$797$	−0.663312	−	4.61344i	−0.0234957	−	0.163416i	0.974695	−	0.223537i	$-0.0717605\pi$
$797$	−0.663312	−	4.61344i	−0.0234957	−	0.163416i	−0.998191	+	0.0601209i	$0.980851\pi$
$798$	−1.18261	−	1.36480i	−0.0418638	−	0.0483134i
$799$	7.43266	+	16.2753i	0.262949	+	0.575777i
$800$	−3.68047	+	1.08068i	−0.130124	+	0.0382079i
$801$	4.56794	−	10.0024i	0.161400	−	0.353417i
$802$	2.12741	−	14.7965i	0.0751214	−	0.522481i
$803$	3.88292	−	2.49540i	0.137025	−	0.0880609i
$804$	−7.83398			−0.276283
$805$	−1.80720	+	4.84867i	−0.0636953	+	0.170893i
$806$	47.9205			1.68793
$807$	−7.82692	+	5.03006i	−0.275521	+	0.177066i
$808$	−0.552766	+	3.84457i	−0.0194462	+	0.135252i
$809$	−1.63382	+	3.57757i	−0.0574421	+	0.125781i	−0.936176	−	0.351531i	$-0.885661\pi$
$809$	−1.63382	+	3.57757i	−0.0574421	+	0.125781i	0.878734	+	0.477311i	$0.158389\pi$
$810$	1.03525	−	0.303978i	0.0363751	−	0.0106807i
$811$	14.5860	+	31.9389i	0.512184	+	1.12153i	0.972315	+	0.233675i	$0.0750751\pi$
$811$	14.5860	+	31.9389i	0.512184	+	1.12153i	−0.460131	+	0.887851i	$0.652198\pi$
$812$	−0.754735	−	0.871011i	−0.0264860	−	0.0305665i
$813$	2.77187	+	19.2788i	0.0972137	+	0.676136i
$814$	1.82920	+	0.537101i	0.0641133	+	0.0188254i
$815$	8.81082	−	10.1682i	0.308630	−	0.356177i
$816$	4.33623	+	2.78672i	0.151798	+	0.0975549i
$817$	−7.02576	−	4.51518i	−0.245800	−	0.157966i
$818$	−10.1119	+	11.6698i	−0.353555	+	0.408024i
$819$	5.35654	+	1.57282i	0.187172	+	0.0549588i
$820$	−1.31339	−	9.13482i	−0.0458655	−	0.319002i
$821$	13.7633	+	15.8836i	0.480341	+	0.554343i	0.943259	−	0.332058i	$-0.107743\pi$
$821$	13.7633	+	15.8836i	0.480341	+	0.554343i	−0.462918	+	0.886401i	$0.653198\pi$
$822$	−3.85759	−	8.44695i	−0.134549	−	0.294621i
$823$	16.1203	−	4.73336i	0.561920	−	0.164994i	0.0115764	−	0.999933i	$-0.496315\pi$
$823$	16.1203	−	4.73336i	0.561920	−	0.164994i	0.550343	+	0.834938i	$0.314497\pi$
$824$	−2.32975	+	5.10145i	−0.0811608	+	0.177717i
$825$	−1.44641	+	10.0600i	−0.0503575	+	0.350244i
$826$	7.98090	−	5.12901i	0.277691	−	0.178461i
$827$	25.6200			0.890894			0.445447	−	0.895308i	$-0.353045\pi$
$827$	25.6200			0.890894			0.445447	+	0.895308i	$0.353045\pi$
$828$	4.20973	+	2.29743i	0.146298	+	0.0798414i
$829$	7.22390			0.250897			0.125448	−	0.992100i	$-0.459963\pi$
$829$	7.22390			0.250897			0.125448	+	0.992100i	$0.459963\pi$
$830$	4.71459	−	3.02988i	0.163646	−	0.105169i
$831$	2.41827	−	16.8194i	0.0838887	−	0.583459i
$832$	2.31913	−	5.07818i	0.0804012	−	0.176054i
$833$	4.94569	−	1.45219i	0.171358	−	0.0503153i
$834$	−8.48365	−	18.5766i	−0.293765	−	0.643255i
$835$	2.85355	+	3.29317i	0.0987512	+	0.113965i
$836$	0.680959	+	4.73617i	0.0235514	+	0.163804i
$837$	−8.23610	−	2.41834i	−0.284681	−	0.0835899i
$838$	12.2365	−	14.1217i	0.422704	−	0.487826i
$839$	13.4541	+	8.64640i	0.464486	+	0.298507i	0.751873	−	0.659307i	$-0.229150\pi$
$839$	13.4541	+	8.64640i	0.464486	+	0.298507i	−0.287388	+	0.957814i	$0.592787\pi$
$840$	−0.907678	−	0.583329i	−0.0313179	−	0.0201268i
$841$	18.1211	−	20.9129i	0.624866	−	0.721134i
$842$	20.8509	+	6.12238i	0.718569	+	0.210991i
$843$	3.76593	+	26.1926i	0.129705	+	0.902121i
$844$	0.263544	+	0.304146i	0.00907156	+	0.0104691i
$845$	8.14239	+	17.8294i	0.280107	+	0.613348i
$846$	−3.33057	+	0.977944i	−0.114507	+	0.0336224i
$847$	1.65320	−	3.62001i	0.0568047	−	0.124385i
$848$	1.13535	−	7.89655i	0.0389882	−	0.271169i
$849$	−15.2502	+	9.80071i	−0.523386	+	0.336360i
$850$	−19.7718			−0.678168
$851$	−0.245380	+	3.44193i	−0.00841152	+	0.117988i
$852$	1.63048			0.0558593
$853$	39.9946	−	25.7030i	1.36939	−	0.880053i	0.370579	−	0.928801i	$-0.379159\pi$
$853$	39.9946	−	25.7030i	1.36939	−	0.880053i	0.998811	+	0.0487476i	$0.0155230\pi$
$854$	0.849420	−	5.90785i	0.0290666	−	0.202162i
$855$	−0.809428	+	1.77240i	−0.0276818	+	0.0606148i
$856$	11.8600	−	3.48241i	0.405366	−	0.119026i
$857$	−21.5590	−	47.2077i	−0.736442	−	1.61258i	−0.789320	−	0.613982i	$-0.789567\pi$
$857$	−21.5590	−	47.2077i	−0.736442	−	1.61258i	0.0528785	−	0.998601i	$-0.483160\pi$
$858$	−9.68659	−	11.1789i	−0.330695	−	0.381642i
$859$	6.48334	+	45.0926i	0.221209	+	1.53854i	0.733477	+	0.679714i	$0.237896\pi$
$859$	6.48334	+	45.0926i	0.221209	+	1.53854i	−0.512268	+	0.858826i	$0.671195\pi$
$860$	−4.78765	−	1.40578i	−0.163257	−	0.0479367i
$861$	−5.60128	+	6.46422i	−0.190891	+	0.220300i
$862$	11.5850	+	7.44525i	0.394588	+	0.253586i
$863$	−29.3485	−	18.8612i	−0.999035	−	0.642041i	−0.0645024	−	0.997918i	$-0.520546\pi$
$863$	−29.3485	−	18.8612i	−0.999035	−	0.642041i	−0.934533	+	0.355877i	$0.884182\pi$
$864$	−0.654861	+	0.755750i	−0.0222788	+	0.0257111i
$865$	−14.1747	−	4.16207i	−0.481954	−	0.141515i
$866$	−2.82337	−	19.6370i	−0.0959421	−	0.667292i
$867$	6.26617	+	7.23154i	0.212810	+	0.245596i
$868$	3.56584	+	7.80810i	0.121032	+	0.265024i
$869$	−33.9067	+	9.95590i	−1.15020	+	0.337731i
$870$	−0.516574	+	1.13114i	−0.0175135	+	0.0383492i
$871$	−6.22408	+	43.2894i	−0.210895	+	1.46681i
$872$	2.36702	−	1.52119i	0.0801574	−	0.0515140i
$873$	0.415486			0.0140621
$874$	−8.11398	+	3.02847i	−0.274460	+	0.102440i
$875$	9.53352			0.322292
$876$	−1.46548	+	0.941806i	−0.0495139	+	0.0318207i
$877$	−0.742186	+	5.16202i	−0.0250618	+	0.174309i	−0.998508	−	0.0546076i	$-0.982609\pi$
$877$	−0.742186	+	5.16202i	−0.0250618	+	0.174309i	0.973446	+	0.228917i	$0.0735183\pi$
$878$	9.73378	−	21.3140i	0.328499	−	0.719313i
$879$	4.90544	−	1.44037i	0.165456	−	0.0485824i
$880$	1.18759	+	2.60046i	0.0400337	+	0.0876615i
$881$	19.6909	+	22.7245i	0.663402	+	0.765607i	0.983329	−	0.181835i	$-0.0582038\pi$
$881$	19.6909	+	22.7245i	0.663402	+	0.765607i	−0.319927	+	0.947442i	$0.603658\pi$
$882$	0.142315	+	0.989821i	0.00479199	+	0.0333290i
$883$	2.89971	+	0.851432i	0.0975830	+	0.0286530i	0.330160	−	0.943925i	$-0.392897\pi$
$883$	2.89971	+	0.851432i	0.0975830	+	0.0286530i	−0.232577	+	0.972578i	$0.574716\pi$
$884$	18.8441	−	21.7473i	0.633797	−	0.731441i
$885$	−8.61106	−	5.53399i	−0.289458	−	0.186023i
$886$	12.4018	+	7.97016i	0.416647	+	0.267763i
$887$	−19.2376	+	22.2014i	−0.645935	+	0.745448i	−0.980412	−	0.196955i	$-0.936895\pi$
$887$	−19.2376	+	22.2014i	−0.645935	+	0.745448i	0.334478	+	0.942404i	$0.391440\pi$
$888$	−0.690368	−	0.202710i	−0.0231672	−	0.00680251i
$889$	−0.926856	−	6.44643i	−0.0310858	−	0.216206i
$890$	7.76948	+	8.96646i	0.260434	+	0.300556i
$891$	1.10068	+	2.41016i	0.0368742	+	0.0807433i
$892$	23.5132	−	6.90411i	0.787281	−	0.231167i
$893$	2.60405	−	5.70208i	0.0871414	−	0.190813i
$894$	−0.513448	+	3.57111i	−0.0171723	+	0.119436i
$895$	−5.82587	+	3.74406i	−0.194737	+	0.125150i
$896$	1.00000			0.0334077
$897$	16.0399	−	21.4370i	0.535556	−	0.715761i
$898$	−32.5627			−1.08663
$899$	8.32247	−	5.34853i	0.277570	−	0.178383i
$900$	0.545898	−	3.79680i	0.0181966	−	0.126560i
$901$	17.0824	−	37.4052i	0.569096	−	1.24615i
$902$	21.7450	−	6.38491i	0.724030	−	0.212594i
$903$	1.92113	+	4.20670i	0.0639313	+	0.139990i
$904$	−5.18714	−	5.98628i	−0.172522	−	0.199101i
$905$	1.38384	+	9.62479i	0.0460003	+	0.319939i
$906$	13.5552	+	3.98018i	0.450343	+	0.132233i
$907$	−30.2644	+	34.9270i	−1.00491	+	1.15973i	−0.0177787	+	0.999842i	$0.505659\pi$
$907$	−30.2644	+	34.9270i	−1.00491	+	1.15973i	−0.987135	+	0.159890i	$0.948886\pi$
$908$	−12.8956	−	8.28750i	−0.427956	−	0.275030i
$909$	−3.26752	−	2.09991i	−0.108377	−	0.0696495i
$910$	−3.94454	+	4.55224i	−0.130760	+	0.150905i
$911$	17.3359	+	5.09028i	0.574364	+	0.168649i	0.555999	−	0.831183i	$-0.312336\pi$
$911$	17.3359	+	5.09028i	0.574364	+	0.168649i	0.0183651	+	0.999831i	$0.494154\pi$
$912$	−0.257005	−	1.78751i	−0.00851028	−	0.0591903i
$913$	9.01241	+	10.4009i	0.298267	+	0.344219i
$914$	0.316380	+	0.692775i	0.0104649	+	0.0229150i
$915$	−6.17901	+	1.81432i	−0.204272	+	0.0599796i
$916$	9.67073	−	21.1759i	0.319530	−	0.699673i
$917$	0.633021	−	4.40276i	0.0209042	−	0.145392i
$918$	−4.33623	+	2.78672i	−0.143117	+	0.0919756i
$919$	−15.8817			−0.523891			−0.261945	−	0.965083i	$-0.584364\pi$
$919$	−15.8817			−0.523891			−0.261945	+	0.965083i	$0.584364\pi$
$920$	−4.14170	+	3.10191i	−0.136548	+	0.102267i
$921$	−27.5002			−0.906161
$922$	10.3326	−	6.64037i	0.340287	−	0.218689i
$923$	1.29541	−	9.00979i	0.0426390	−	0.296561i
$924$	1.10068	−	2.41016i	0.0362098	−	0.0792883i
$925$	2.64815	−	0.777566i	0.0870705	−	0.0255662i
$926$	−8.68567	−	19.0190i	−0.285429	−	0.625002i
$927$	−3.67263	−	4.23844i	−0.120625	−	0.139209i
$928$	−0.164020	−	1.14078i	−0.00538421	−	0.0374480i
$929$	−51.6844	−	15.1759i	−1.69571	−	0.497906i	−0.715963	−	0.698139i	$-0.754012\pi$
$929$	−51.6844	−	15.1759i	−1.69571	−	0.497906i	−0.979748	+	0.200233i	$0.935830\pi$
$930$	6.06504	−	6.99943i	0.198880	−	0.229520i
$931$	−1.51921	−	0.976337i	−0.0497901	−	0.0319982i
$932$	−6.80760	−	4.37498i	−0.222990	−	0.143307i
$933$	1.46372	−	1.68922i	0.0479200	−	0.0553026i
$934$	25.2713	+	7.42032i	0.826902	+	0.242800i
$935$	2.09710	+	14.5857i	0.0685826	+	0.477003i
$936$	3.65587	+	4.21910i	0.119496	+	0.137906i
$937$	−8.70571	−	19.0628i	−0.284403	−	0.622756i	0.712476	−	0.701696i	$-0.247574\pi$
$937$	−8.70571	−	19.0628i	−0.284403	−	0.622756i	−0.996879	+	0.0789403i	$0.974846\pi$
$938$	−7.51665	+	2.20709i	−0.245427	+	0.0720640i
$939$	1.73814	−	3.80601i	0.0567222	−	0.124204i
$940$	0.533006	−	3.70714i	0.0173847	−	0.120914i
$941$	38.7004	−	24.8713i	1.26160	−	0.810780i	0.273096	−	0.961987i	$-0.411952\pi$
$941$	38.7004	−	24.8713i	1.26160	−	0.810780i	0.988502	+	0.151207i	$0.0483159\pi$
$942$	−3.52372			−0.114809
$943$	19.6673	+	35.9984i	0.640456	+	1.17227i
$944$	9.48691			0.308773
$945$	0.907678	−	0.583329i	0.0295268	−	0.0189757i
$946$	1.74383	−	12.1286i	0.0566969	−	0.394336i
$947$	−6.16900	+	13.5082i	−0.200466	+	0.438958i	−0.982989	−	0.183662i	$-0.941205\pi$
$947$	−6.16900	+	13.5082i	−0.200466	+	0.438958i	0.782524	+	0.622621i	$0.213932\pi$
$948$	12.7969	−	3.75751i	0.415625	−	0.122038i
$949$	4.03996	+	8.84627i	0.131143	+	0.287162i
$950$	4.53629	+	5.23516i	0.147177	+	0.169851i
$951$	3.50490	+	24.3771i	0.113654	+	0.790482i
$952$	4.94569	+	1.45219i	0.160291	+	0.0470656i
$953$	21.3406	−	24.6284i	0.691291	−	0.797792i	−0.296258	−	0.955108i	$-0.595739\pi$
$953$	21.3406	−	24.6284i	0.691291	−	0.797792i	0.987548	+	0.157316i	$0.0502841\pi$
$954$	6.71131	+	4.31310i	0.217287	+	0.139642i
$955$	14.2049	+	9.12894i	0.459660	+	0.295405i
$956$	12.3115	−	14.2083i	0.398184	−	0.459528i
$957$	−2.93000	−	0.860325i	−0.0947133	−	0.0278103i
$958$	−1.21375	−	8.44183i	−0.0392146	−	0.272743i
$959$	−6.08112	−	7.01798i	−0.196369	−	0.226622i
$960$	−0.448216	−	0.981456i	−0.0144661	−	0.0316763i
$961$	−40.9527	+	12.0248i	−1.32106	+	0.387897i
$962$	−1.66864	+	3.65382i	−0.0537992	+	0.117804i
$963$	−1.75911	+	12.2349i	−0.0566865	+	0.394263i
$964$	6.23132	−	4.00463i	0.200697	−	0.128980i
$965$	−28.6044			−0.920809
$966$	4.68646	+	1.01836i	0.150785	+	0.0327650i
$967$	−40.1723			−1.29185			−0.645927	−	0.763400i	$-0.723529\pi$
$967$	−40.1723			−1.29185			−0.645927	+	0.763400i	$0.723529\pi$
$968$	3.34789	−	2.15156i	0.107605	−	0.0691537i
$969$	1.32473	−	9.21368i	0.0425564	−	0.295986i
$970$	−0.186227	+	0.407781i	−0.00597940	+	0.0130931i
$971$	−6.30596	+	1.85160i	−0.202368	+	0.0594206i	−0.381346	−	0.924433i	$-0.624539\pi$
$971$	−6.30596	+	1.85160i	−0.202368	+	0.0594206i	0.178978	+	0.983853i	$0.442721\pi$
$972$	−0.415415	−	0.909632i	−0.0133244	−	0.0291765i
$973$	−13.3736	−	15.4340i	−0.428739	−	0.494791i
$974$	2.67670	+	18.6169i	0.0857670	+	0.596523i
$975$	−20.5469	−	6.03310i	−0.658026	−	0.193214i
$976$	3.90860	−	4.51077i	0.125111	−	0.144386i
$977$	−0.582168	−	0.374137i	−0.0186252	−	0.0119697i	0.531295	−	0.847187i	$-0.321706\pi$
$977$	−0.582168	−	0.374137i	−0.0186252	−	0.0119697i	−0.549920	+	0.835217i	$0.685342\pi$
$978$	−10.4903	−	6.74173i	−0.335444	−	0.215577i
$979$	−19.0795	+	22.0189i	−0.609783	+	0.703727i
$980$	−1.03525	−	0.303978i	−0.0330700	−	0.00971022i
$981$	0.400429	+	2.78504i	0.0127847	+	0.0889196i
$982$	−5.75656	−	6.64342i	−0.183699	−	0.212000i
$983$	−0.345296	−	0.756093i	−0.0110132	−	0.0241156i	0.904045	−	0.427436i	$-0.140583\pi$
$983$	−0.345296	−	0.756093i	−0.0110132	−	0.0241156i	−0.915059	+	0.403321i	$0.867856\pi$
$984$	−8.20692	+	2.40977i	−0.261627	+	0.0768206i
$985$	−8.83195	+	19.3393i	−0.281409	+	0.616201i
$986$	0.845437	−	5.88014i	0.0269242	−	0.187262i
$987$	−2.92014	+	1.87666i	−0.0929491	+	0.0597348i
$988$	−10.0817			−0.320741
$989$	22.1220	−	1.58728i	0.703438	−	0.0504727i
$990$	−2.85881			−0.0908588
$991$	−5.82726	+	3.74495i	−0.185109	+	0.118962i	−0.629913	−	0.776665i	$-0.716910\pi$
$991$	−5.82726	+	3.74495i	−0.185109	+	0.118962i	0.444804	+	0.895628i	$0.353273\pi$
$992$	−1.22160	+	8.49643i	−0.0387859	+	0.269762i
$993$	7.10873	−	15.5660i	0.225589	−	0.493971i
$994$	1.56443	−	0.459359i	0.0496208	−	0.0145700i
$995$	−1.49080	−	3.26440i	−0.0472616	−	0.103489i
$996$	−3.40143	−	3.92546i	−0.107778	−	0.124383i
$997$	4.73981	+	32.9661i	0.150111	+	1.04405i	0.916030	+	0.401110i	$0.131375\pi$
$997$	4.73981	+	32.9661i	0.150111	+	1.04405i	−0.765919	+	0.642938i	$0.777715\pi$
$998$	−41.8143	−	12.2778i	−1.32361	−	0.388647i
$999$	0.471181	−	0.543772i	0.0149075	−	0.0172042i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.g.127.2	✓	30
23.2	even	11	inner	966.2.q.g.715.2	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.g.127.2	✓	30	1.1	even	1	trivial
966.2.q.g.715.2	yes	30	23.2	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)

\(f(q)\)	\(=\)	\(q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.03525 + 0.303978i) q^{5} +(0.415415 + 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\)	\(q+(-0.841254 + 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.03525 + 0.303978i) q^{5} +(0.415415 + 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(0.706568 - 0.815423i) q^{10} +(2.22898 + 1.43248i) q^{11} +(-0.841254 - 0.540641i) q^{12} +(-3.65587 + 4.21910i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(0.153552 + 1.06798i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-2.14125 - 4.68868i) q^{17} +(0.959493 - 0.281733i) q^{18} +(-0.750193 + 1.64269i) q^{19} +(-0.153552 + 1.06798i) q^{20} +(0.841254 - 0.540641i) q^{21} -2.64960 q^{22} +(-1.02050 - 4.68600i) q^{23} +1.00000 q^{24} +(-3.22692 + 2.07382i) q^{25} +(0.794497 - 5.52585i) q^{26} +(-0.415415 + 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(-0.478771 - 1.04836i) q^{29} +(-0.706568 - 0.815423i) q^{30} +(1.22160 + 8.49643i) q^{31} +(0.959493 + 0.281733i) q^{32} +(1.73512 - 2.00243i) q^{33} +(4.33623 + 2.78672i) q^{34} +(-0.907678 - 0.583329i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-0.690368 - 0.202710i) q^{37} +(-0.257005 - 1.78751i) q^{38} +(3.65587 + 4.21910i) q^{39} +(-0.448216 - 0.981456i) q^{40} +(-8.20692 + 2.40977i) q^{41} +(-0.415415 + 0.909632i) q^{42} +(-0.658151 + 4.57754i) q^{43} +(2.22898 - 1.43248i) q^{44} +1.07896 q^{45} +(3.39194 + 3.39039i) q^{46} -3.47118 q^{47} +(-0.841254 + 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(1.59347 - 3.48921i) q^{50} +(-4.94569 + 1.45219i) q^{51} +(2.31913 + 5.07818i) q^{52} +(5.22432 + 6.02919i) q^{53} +(-0.142315 - 0.989821i) q^{54} +(-2.74300 - 0.805418i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(1.51921 + 0.976337i) q^{57} +(0.969555 + 0.623095i) q^{58} +(-6.21260 + 7.16973i) q^{59} +(1.03525 + 0.303978i) q^{60} +(0.849420 + 5.90785i) q^{61} +(-5.62119 - 6.48720i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(2.50224 - 5.47915i) q^{65} +(-0.377077 + 2.62263i) q^{66} +(6.59037 - 4.23537i) q^{67} -5.15448 q^{68} +(-4.78353 + 0.343225i) q^{69} +1.07896 q^{70} +(-1.37165 + 0.881504i) q^{71} +(0.142315 - 0.989821i) q^{72} +(0.723660 - 1.58459i) q^{73} +(0.690368 - 0.202710i) q^{74} +(1.59347 + 3.48921i) q^{75} +(1.18261 + 1.36480i) q^{76} +(0.377077 + 2.62263i) q^{77} +(-5.35654 - 1.57282i) q^{78} +(-8.73399 + 10.0796i) q^{79} +(0.907678 + 0.583329i) q^{80} +(0.841254 + 0.540641i) q^{81} +(5.60128 - 6.46422i) q^{82} +(4.98372 + 1.46335i) q^{83} +(-0.142315 - 0.989821i) q^{84} +(3.64199 + 4.20308i) q^{85} +(-1.92113 - 4.20670i) q^{86} +(-1.10583 + 0.324700i) q^{87} +(-1.10068 + 2.41016i) q^{88} +(-1.56491 + 10.8842i) q^{89} +(-0.907678 + 0.583329i) q^{90} -5.58267 q^{91} +(-4.68646 - 1.01836i) q^{92} +8.58380 q^{93} +(2.92014 - 1.87666i) q^{94} +(0.277298 - 1.92865i) q^{95} +(0.415415 - 0.909632i) q^{96} +(-0.398656 + 0.117056i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(-1.73512 - 2.00243i) 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	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 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 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Introduction

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