LMFDB - Embedded newform 966.2.q.f.127.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			127.1
Character	$\chi$	$=$	966.127
Dual form			966.2.q.f.715.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.76124 + 0.517147i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})$	\(q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.76124 + 0.517147i) 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} +(1.20206 - 1.38725i) q^{10} +(2.20657 + 1.41807i) q^{11} +(0.841254 + 0.540641i) q^{12} +(2.03474 - 2.34821i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(-0.261232 - 1.81691i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.32335 + 5.08743i) q^{17} +(0.959493 - 0.281733i) q^{18} +(0.745609 - 1.63266i) q^{19} +(-0.261232 + 1.81691i) q^{20} +(-0.841254 + 0.540641i) q^{21} -2.62295 q^{22} +(1.97504 + 4.37026i) q^{23} -1.00000 q^{24} +(-1.37174 + 0.881564i) q^{25} +(-0.442190 + 3.07550i) q^{26} +(0.415415 - 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(-0.679050 - 1.48691i) q^{29} +(1.20206 + 1.38725i) q^{30} +(0.147361 + 1.02492i) q^{31} +(0.959493 + 0.281733i) q^{32} +(-1.71767 + 1.98229i) q^{33} +(-4.70500 - 3.02372i) q^{34} +(-1.54420 - 0.992398i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-7.72078 - 2.26703i) q^{37} +(0.255434 + 1.77658i) q^{38} +(2.03474 + 2.34821i) q^{39} +(-0.762534 - 1.66972i) q^{40} +(-4.24470 + 1.24636i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-1.13440 + 7.88991i) q^{43} +(2.20657 - 1.41807i) q^{44} +1.83560 q^{45} +(-4.02425 - 2.60871i) q^{46} -4.26924 q^{47} +(0.841254 - 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(0.677372 - 1.48324i) q^{50} +(-5.36630 + 1.57569i) q^{51} +(-1.29075 - 2.82634i) q^{52} +(6.55241 + 7.56189i) q^{53} +(0.142315 + 0.989821i) q^{54} +(-4.61965 - 1.35645i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(1.50993 + 0.970371i) q^{57} +(1.37514 + 0.883748i) q^{58} +(-5.67660 + 6.55115i) q^{59} +(-1.76124 - 0.517147i) q^{60} +(-0.266601 - 1.85425i) q^{61} +(-0.678082 - 0.782549i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-2.36929 + 5.18802i) q^{65} +(0.373285 - 2.59625i) q^{66} +(11.1738 - 7.18098i) q^{67} +5.59285 q^{68} +(-4.60686 + 1.33298i) q^{69} +1.83560 q^{70} +(-6.12825 + 3.93838i) q^{71} +(0.142315 - 0.989821i) q^{72} +(-4.58693 + 10.0440i) q^{73} +(7.72078 - 2.26703i) q^{74} +(-0.677372 - 1.48324i) q^{75} +(-1.17538 - 1.35646i) q^{76} +(0.373285 + 2.59625i) q^{77} +(-2.98127 - 0.875379i) q^{78} +(6.17526 - 7.12663i) q^{79} +(1.54420 + 0.992398i) q^{80} +(0.841254 + 0.540641i) q^{81} +(2.89704 - 3.34336i) q^{82} +(-8.40596 - 2.46821i) q^{83} +(0.142315 + 0.989821i) q^{84} +(-6.72294 - 7.75868i) q^{85} +(-3.31129 - 7.25071i) q^{86} +(1.56842 - 0.460529i) q^{87} +(-1.08961 + 2.38592i) q^{88} +(-0.235221 + 1.63600i) q^{89} +(-1.54420 + 0.992398i) q^{90} +3.10713 q^{91} +(4.79579 + 0.0189135i) q^{92} -1.03546 q^{93} +(3.59151 - 2.30813i) q^{94} +(-0.468874 + 3.26109i) q^{95} +(-0.415415 + 0.909632i) q^{96} +(-7.77079 + 2.28171i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(-1.71767 - 1.98229i) 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 $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

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

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
$5$	−1.76124	+	0.517147i	−0.787651	+	0.231275i	−0.650732	−	0.759307i	$-0.725538\pi$
$5$	−1.76124	+	0.517147i	−0.787651	+	0.231275i	−0.136918	+	0.990582i	$0.543720\pi$
$6$	−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
$10$	1.20206	−	1.38725i	0.380125	−	0.438687i
$11$	2.20657	+	1.41807i	0.665305	+	0.427566i	0.829230	−	0.558907i	$-0.188779\pi$
$11$	2.20657	+	1.41807i	0.665305	+	0.427566i	−0.163925	+	0.986473i	$0.552416\pi$
$12$	0.841254	+	0.540641i	0.242849	+	0.156070i
$13$	2.03474	−	2.34821i	0.564334	−	0.651276i	−0.399828	−	0.916590i	$-0.630930\pi$
$13$	2.03474	−	2.34821i	0.564334	−	0.651276i	0.964162	+	0.265314i	$0.0854756\pi$
$14$	−0.959493	−	0.281733i	−0.256435	−	0.0752962i
$15$	−0.261232	−	1.81691i	−0.0674499	−	0.469125i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	2.32335	+	5.08743i	0.563496	+	1.23388i	0.950189	+	0.311675i	$0.100890\pi$
$17$	2.32335	+	5.08743i	0.563496	+	1.23388i	−0.386693	+	0.922209i	$0.626383\pi$
$18$	0.959493	−	0.281733i	0.226155	−	0.0664050i
$19$	0.745609	−	1.63266i	0.171054	−	0.374557i	−0.804617	−	0.593794i	$-0.797629\pi$
$19$	0.745609	−	1.63266i	0.171054	−	0.374557i	0.975672	+	0.219237i	$0.0703567\pi$
$20$	−0.261232	+	1.81691i	−0.0584133	+	0.406274i
$21$	−0.841254	+	0.540641i	−0.183577	+	0.117977i
$22$	−2.62295			−0.559215
$23$	1.97504	+	4.37026i	0.411824	+	0.911263i
$23$	1.97504	+	4.37026i	0.411824	+	0.911263i
$24$	−1.00000			−0.204124
$25$	−1.37174	+	0.881564i	−0.274348	+	0.176313i
$26$	−0.442190	+	3.07550i	−0.0867206	+	0.603155i
$27$	0.415415	−	0.909632i	0.0799467	−	0.175059i
$28$	0.959493	−	0.281733i	0.181327	−	0.0532424i
$29$	−0.679050	−	1.48691i	−0.126096	−	0.276113i	0.836046	−	0.548659i	$-0.184861\pi$
$29$	−0.679050	−	1.48691i	−0.126096	−	0.276113i	−0.962143	+	0.272546i	$0.912134\pi$
$30$	1.20206	+	1.38725i	0.219465	+	0.253276i
$31$	0.147361	+	1.02492i	0.0264669	+	0.184081i	0.998766	−	0.0496576i	$-0.0158130\pi$
$31$	0.147361	+	1.02492i	0.0264669	+	0.184081i	−0.972299	+	0.233739i	$0.924904\pi$
$32$	0.959493	+	0.281733i	0.169616	+	0.0498038i
$33$	−1.71767	+	1.98229i	−0.299008	+	0.345073i
$34$	−4.70500	−	3.02372i	−0.806902	−	0.518564i
$35$	−1.54420	−	0.992398i	−0.261018	−	0.167746i
$36$	−0.654861	+	0.755750i	−0.109143	+	0.125958i
$37$	−7.72078	−	2.26703i	−1.26929	−	0.372697i	−0.423344	−	0.905969i	$-0.639144\pi$
$37$	−7.72078	−	2.26703i	−1.26929	−	0.372697i	−0.845944	+	0.533272i	$0.820962\pi$
$38$	0.255434	+	1.77658i	0.0414369	+	0.288200i
$39$	2.03474	+	2.34821i	0.325818	+	0.376014i
$40$	−0.762534	−	1.66972i	−0.120567	−	0.264005i
$41$	−4.24470	+	1.24636i	−0.662911	+	0.194648i	−0.595844	−	0.803100i	$-0.703182\pi$
$41$	−4.24470	+	1.24636i	−0.662911	+	0.194648i	−0.0670668	+	0.997748i	$0.521364\pi$
$42$	0.415415	−	0.909632i	0.0640999	−	0.140359i
$43$	−1.13440	+	7.88991i	−0.172994	+	1.20320i	0.699521	+	0.714612i	$0.253397\pi$
$43$	−1.13440	+	7.88991i	−0.172994	+	1.20320i	−0.872515	+	0.488587i	$0.837512\pi$
$44$	2.20657	−	1.41807i	0.332653	−	0.213783i
$45$	1.83560			0.273634
$46$	−4.02425	−	2.60871i	−0.593344	−	0.384634i
$47$	−4.26924			−0.622733			−0.311366	−	0.950290i	$-0.600787\pi$
$47$	−4.26924			−0.622733			−0.311366	+	0.950290i	$0.600787\pi$
$48$	0.841254	−	0.540641i	0.121424	−	0.0780348i
$49$	−0.142315	+	0.989821i	−0.0203307	+	0.141403i
$50$	0.677372	−	1.48324i	0.0957948	−	0.209761i
$51$	−5.36630	+	1.57569i	−0.751432	+	0.220640i
$52$	−1.29075	−	2.82634i	−0.178994	−	0.391943i
$53$	6.55241	+	7.56189i	0.900043	+	1.03870i	0.999048	+	0.0436181i	$0.0138885\pi$
$53$	6.55241	+	7.56189i	0.900043	+	1.03870i	−0.0990053	+	0.995087i	$0.531566\pi$
$54$	0.142315	+	0.989821i	0.0193666	+	0.134698i
$55$	−4.61965	−	1.35645i	−0.622913	−	0.182904i
$56$	−0.654861	+	0.755750i	−0.0875094	+	0.100991i
$57$	1.50993	+	0.970371i	0.199995	+	0.128529i
$58$	1.37514	+	0.883748i	0.180565	+	0.116042i
$59$	−5.67660	+	6.55115i	−0.739031	+	0.852887i	−0.993457	−	0.114205i	$-0.963568\pi$
$59$	−5.67660	+	6.55115i	−0.739031	+	0.852887i	0.254426	+	0.967092i	$0.418113\pi$
$60$	−1.76124	−	0.517147i	−0.227375	−	0.0667634i
$61$	−0.266601	−	1.85425i	−0.0341348	−	0.237413i	0.965610	−	0.259994i	$-0.0837206\pi$
$61$	−0.266601	−	1.85425i	−0.0341348	−	0.237413i	−0.999745	+	0.0225815i	$0.992811\pi$
$62$	−0.678082	−	0.782549i	−0.0861165	−	0.0993838i
$63$	−0.415415	−	0.909632i	−0.0523374	−	0.114603i
$64$	−0.959493	+	0.281733i	−0.119937	+	0.0352166i
$65$	−2.36929	+	5.18802i	−0.293874	+	0.643495i
$66$	0.373285	−	2.59625i	0.0459482	−	0.319577i
$67$	11.1738	−	7.18098i	1.36510	−	0.877297i	0.366512	−	0.930413i	$-0.380552\pi$
$67$	11.1738	−	7.18098i	1.36510	−	0.877297i	0.998588	+	0.0531164i	$0.0169154\pi$
$68$	5.59285			0.678233
$69$	−4.60686	+	1.33298i	−0.554601	+	0.160472i
$70$	1.83560			0.219396
$71$	−6.12825	+	3.93838i	−0.727289	+	0.467400i	−0.851165	−	0.524897i	$-0.824104\pi$
$71$	−6.12825	+	3.93838i	−0.727289	+	0.467400i	0.123877	+	0.992298i	$0.460467\pi$
$72$	0.142315	−	0.989821i	0.0167720	−	0.116652i
$73$	−4.58693	+	10.0440i	−0.536860	+	1.17556i	0.425793	+	0.904820i	$0.359995\pi$
$73$	−4.58693	+	10.0440i	−0.536860	+	1.17556i	−0.962653	+	0.270738i	$0.912732\pi$
$74$	7.72078	−	2.26703i	0.897522	−	0.263536i
$75$	−0.677372	−	1.48324i	−0.0782161	−	0.171269i
$76$	−1.17538	−	1.35646i	−0.134825	−	0.155597i
$77$	0.373285	+	2.59625i	0.0425398	+	0.295871i
$78$	−2.98127	−	0.875379i	−0.337562	−	0.0991171i
$79$	6.17526	−	7.12663i	0.694771	−	0.801809i	−0.293265	−	0.956031i	$-0.594742\pi$
$79$	6.17526	−	7.12663i	0.694771	−	0.801809i	0.988036	+	0.154223i	$0.0492873\pi$
$80$	1.54420	+	0.992398i	0.172647	+	0.110953i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	2.89704	−	3.34336i	0.319924	−	0.369212i
$83$	−8.40596	−	2.46821i	−0.922674	−	0.270921i	−0.214307	−	0.976766i	$-0.568749\pi$
$83$	−8.40596	−	2.46821i	−0.922674	−	0.270921i	−0.708366	+	0.705845i	$0.750568\pi$
$84$	0.142315	+	0.989821i	0.0155278	+	0.107998i
$85$	−6.72294	−	7.75868i	−0.729205	−	0.841547i
$86$	−3.31129	−	7.25071i	−0.357066	−	0.781865i
$87$	1.56842	−	0.460529i	0.168152	−	0.0493738i
$88$	−1.08961	+	2.38592i	−0.116153	+	0.254340i
$89$	−0.235221	+	1.63600i	−0.0249334	+	0.173416i	−0.998483	−	0.0550599i	$-0.982465\pi$
$89$	−0.235221	+	1.63600i	−0.0249334	+	0.173416i	0.973550	+	0.228476i	$0.0733741\pi$
$90$	−1.54420	+	0.992398i	−0.162773	+	0.104608i
$91$	3.10713			0.325715
$92$	4.79579	+	0.0189135i	0.499996	+	0.00197187i
$93$	−1.03546			−0.107372
$94$	3.59151	−	2.30813i	0.370436	−	0.238065i
$95$	−0.468874	+	3.26109i	−0.0481054	+	0.334581i
$96$	−0.415415	+	0.909632i	−0.0423981	+	0.0928389i
$97$	−7.77079	+	2.28171i	−0.789004	+	0.231672i	−0.651319	−	0.758804i	$-0.725784\pi$
$97$	−7.77079	+	2.28171i	−0.789004	+	0.231672i	−0.137685	+	0.990476i	$0.543966\pi$
$98$	−0.415415	−	0.909632i	−0.0419633	−	0.0918867i
$99$	−1.71767	−	1.98229i	−0.172632	−	0.199228i
$100$	0.232057	+	1.61399i	0.0232057	+	0.161399i
$101$	−10.1012	−	2.96599i	−1.00511	−	0.295127i	−0.262559	−	0.964916i	$-0.584566\pi$
$101$	−10.1012	−	2.96599i	−1.00511	−	0.295127i	−0.742552	+	0.669789i	$0.766385\pi$
$102$	3.66254	−	4.22679i	0.362645	−	0.418515i
$103$	−8.14659	−	5.23549i	−0.802707	−	0.515868i	0.0737911	−	0.997274i	$-0.476490\pi$
$103$	−8.14659	−	5.23549i	−0.802707	−	0.515868i	−0.876498	+	0.481405i	$0.840127\pi$
$104$	2.61388	+	1.67984i	0.256312	+	0.164722i
$105$	1.20206	−	1.38725i	0.117309	−	0.135382i
$106$	−9.60050	−	2.81896i	−0.932483	−	0.273802i
$107$	0.749558	+	5.21329i	0.0724625	+	0.503988i	0.993438	+	0.114368i	$0.0364844\pi$
$107$	0.749558	+	5.21329i	0.0724625	+	0.503988i	−0.920976	+	0.389619i	$0.872607\pi$
$108$	−0.654861	−	0.755750i	−0.0630140	−	0.0727220i
$109$	7.50659	+	16.4371i	0.719001	+	1.57439i	0.815299	+	0.579040i	$0.196573\pi$
$109$	7.50659	+	16.4371i	0.719001	+	1.57439i	−0.0962978	+	0.995353i	$0.530700\pi$
$110$	4.61965	−	1.35645i	0.440466	−	0.129333i
$111$	3.34273	−	7.31956i	0.317278	−	0.694742i
$112$	0.142315	−	0.989821i	0.0134475	−	0.0935293i
$113$	−2.00260	+	1.28699i	−0.188389	+	0.121070i	−0.631435	−	0.775428i	$-0.717534\pi$
$113$	−2.00260	+	1.28699i	−0.188389	+	0.121070i	0.443047	+	0.896498i	$0.353898\pi$
$114$	−1.79485			−0.168103
$115$	−5.73859	−	6.67570i	−0.535126	−	0.622512i
$116$	−1.63463			−0.151772
$117$	−2.61388	+	1.67984i	−0.241653	+	0.155301i
$118$	1.23364	−	8.58018i	0.113566	−	0.789870i
$119$	−2.32335	+	5.08743i	−0.212981	+	0.466364i
$120$	1.76124	−	0.517147i	0.160779	−	0.0472088i
$121$	−1.71156	−	3.74780i	−0.155597	−	0.340709i
$122$	1.22676	+	1.41576i	0.111066	+	0.128177i
$123$	−0.629586	−	4.37887i	−0.0567679	−	0.394829i
$124$	0.993517	+	0.291723i	0.0892205	+	0.0261975i
$125$	7.97036	−	9.19829i	0.712891	−	0.822720i
$126$	0.841254	+	0.540641i	0.0749448	+	0.0481641i
$127$	13.8826	+	8.92180i	1.23188	+	0.791682i	0.984183	−	0.177155i	$-0.0566895\pi$
$127$	13.8826	+	8.92180i	1.23188	+	0.791682i	0.247698	+	0.968837i	$0.420326\pi$
$128$	0.654861	−	0.755750i	0.0578821	−	0.0667995i
$129$	−7.64816	−	2.24570i	−0.673383	−	0.197723i
$130$	−0.811682	−	5.64537i	−0.0711892	−	0.495132i
$131$	5.91992	+	6.83196i	0.517226	+	0.596911i	0.952934	−	0.303177i	$-0.0980475\pi$
$131$	5.91992	+	6.83196i	0.517226	+	0.596911i	−0.435708	+	0.900088i	$0.643502\pi$
$132$	1.08961	+	2.38592i	0.0948387	+	0.207668i
$133$	1.72215	−	0.505669i	0.149329	−	0.0438470i
$134$	−5.51769	+	12.0821i	−0.476656	+	1.04373i
$135$	−0.261232	+	1.81691i	−0.0224833	+	0.156375i
$136$	−4.70500	+	3.02372i	−0.403451	+	0.259282i
$137$	1.67097			0.142761			0.0713804	−	0.997449i	$-0.477260\pi$
$137$	1.67097			0.142761			0.0713804	+	0.997449i	$0.477260\pi$
$138$	3.15487	−	3.61203i	0.268560	−	0.307477i
$139$	−4.56506			−0.387204			−0.193602	−	0.981080i	$-0.562017\pi$
$139$	−4.56506			−0.387204			−0.193602	+	0.981080i	$0.562017\pi$
$140$	−1.54420	+	0.992398i	−0.130509	+	0.0838729i
$141$	0.607576	−	4.22579i	0.0511672	−	0.355875i
$142$	3.02616	−	6.62636i	0.253949	−	0.556072i
$143$	7.81972	−	2.29608i	0.653918	−	0.192008i
$144$	0.415415	+	0.909632i	0.0346179	+	0.0758027i
$145$	1.96492	+	2.26764i	0.163178	+	0.188317i
$146$	−1.57141	−	10.9294i	−0.130051	−	0.904525i
$147$	−0.959493	−	0.281733i	−0.0791376	−	0.0232369i
$148$	−5.26949	+	6.08131i	−0.433149	+	0.499881i
$149$	3.40870	+	2.19064i	0.279251	+	0.179464i	0.672768	−	0.739854i	$-0.265105\pi$
$149$	3.40870	+	2.19064i	0.279251	+	0.179464i	−0.393517	+	0.919318i	$0.628742\pi$
$150$	1.37174	+	0.881564i	0.112002	+	0.0719794i
$151$	−5.04270	+	5.81959i	−0.410369	+	0.473591i	−0.922879	−	0.385090i	$-0.874170\pi$
$151$	−5.04270	+	5.81959i	−0.410369	+	0.473591i	0.512510	+	0.858681i	$0.328716\pi$
$152$	1.72215	+	0.505669i	0.139685	+	0.0410151i
$153$	−0.795945	−	5.53592i	−0.0643484	−	0.447553i
$154$	−1.71767	−	1.98229i	−0.138414	−	0.159738i
$155$	−0.789574	−	1.72892i	−0.0634201	−	0.138871i
$156$	2.98127	−	0.875379i	0.238692	−	0.0700864i
$157$	−1.29356	+	2.83250i	−0.103237	+	0.226058i	−0.954201	−	0.299167i	$-0.903291\pi$
$157$	−1.29356	+	2.83250i	−0.103237	+	0.226058i	0.850964	+	0.525224i	$0.176019\pi$
$158$	−1.34201	+	9.33390i	−0.106765	+	0.742565i
$159$	−8.41742	+	5.40955i	−0.667545	+	0.429005i
$160$	−1.83560			−0.145117
$161$	−2.00945	+	4.35455i	−0.158367	+	0.343187i
$162$	−1.00000			−0.0785674
$163$	9.82338	−	6.31311i	0.769427	−	0.494481i	−0.0960825	−	0.995373i	$-0.530631\pi$
$163$	9.82338	−	6.31311i	0.769427	−	0.494481i	0.865509	+	0.500893i	$0.166995\pi$
$164$	−0.629586	+	4.37887i	−0.0491624	+	0.341932i
$165$	2.00009	−	4.37958i	0.155707	−	0.340950i
$166$	8.40596	−	2.46821i	0.652429	−	0.191570i
$167$	−5.77784	−	12.6517i	−0.447102	−	0.979018i	−0.990240	−	0.139374i	$-0.955491\pi$
$167$	−5.77784	−	12.6517i	−0.447102	−	0.979018i	0.543137	−	0.839644i	$-0.317236\pi$
$168$	−0.654861	−	0.755750i	−0.0505236	−	0.0583073i
$169$	0.476152	+	3.31171i	0.0366271	+	0.254747i
$170$	9.85035	+	2.89232i	0.755488	+	0.221831i
$171$	−1.17538	+	1.35646i	−0.0898835	+	0.103731i
$172$	6.70567	+	4.30947i	0.511302	+	0.328594i
$173$	20.4850	+	13.1649i	1.55744	+	1.00091i	0.983265	+	0.182179i	$0.0583151\pi$
$173$	20.4850	+	13.1649i	1.55744	+	1.00091i	0.574179	+	0.818730i	$0.305321\pi$
$174$	−1.07046	+	1.23537i	−0.0811510	+	0.0936532i
$175$	−1.56454	−	0.459390i	−0.118268	−	0.0347266i
$176$	−0.373285	−	2.59625i	−0.0281374	−	0.195700i
$177$	−5.67660	−	6.55115i	−0.426680	−	0.492415i
$178$	−0.686608	−	1.50346i	−0.0514634	−	0.112689i
$179$	3.40103	−	0.998631i	0.254205	−	0.0746412i	−0.152147	−	0.988358i	$-0.548619\pi$
$179$	3.40103	−	0.998631i	0.254205	−	0.0746412i	0.406352	+	0.913717i	$0.366801\pi$
$180$	0.762534	−	1.66972i	0.0568359	−	0.124453i
$181$	−0.0397274	+	0.276310i	−0.00295292	+	0.0205380i	−0.991245	−	0.132038i	$-0.957848\pi$
$181$	−0.0397274	+	0.276310i	−0.00295292	+	0.0205380i	0.988292	+	0.152576i	$0.0487569\pi$
$182$	−2.61388	+	1.67984i	−0.193754	+	0.124518i
$183$	1.87332			0.138480
$184$	−4.04470	+	2.57689i	−0.298180	+	0.189971i
$185$	14.7705			1.08595
$186$	0.871085	−	0.559812i	0.0638710	−	0.0410474i
$187$	−2.08773	+	14.5205i	−0.152670	+	1.06184i
$188$	−1.77351	+	3.88344i	−0.129346	+	0.283229i
$189$	0.959493	−	0.281733i	0.0697928	−	0.0204930i
$190$	−1.36864	−	2.99690i	−0.0992913	−	0.217418i
$191$	−2.72492	−	3.14472i	−0.197168	−	0.227544i	0.648553	−	0.761170i	$-0.275375\pi$
$191$	−2.72492	−	3.14472i	−0.197168	−	0.227544i	−0.845721	+	0.533626i	$0.820829\pi$
$192$	−0.142315	−	0.989821i	−0.0102707	−	0.0714342i
$193$	18.0829	+	5.30963i	1.30164	+	0.382195i	0.857833	−	0.513928i	$-0.171810\pi$
$193$	18.0829	+	5.30963i	1.30164	+	0.382195i	0.443805	+	0.896123i	$0.353628\pi$
$194$	5.30362	−	6.12070i	0.380778	−	0.439441i
$195$	−4.79803	−	3.08351i	−0.343594	−	0.220814i
$196$	0.841254	+	0.540641i	0.0600895	+	0.0386172i
$197$	8.53250	−	9.84703i	0.607915	−	0.701572i	−0.365450	−	0.930831i	$-0.619085\pi$
$197$	8.53250	−	9.84703i	0.607915	−	0.701572i	0.973365	+	0.229259i	$0.0736304\pi$
$198$	2.51670	+	0.738971i	0.178854	+	0.0525164i
$199$	−3.16015	−	21.9794i	−0.224017	−	1.55808i	−0.722621	−	0.691245i	$-0.757063\pi$
$199$	−3.16015	−	21.9794i	−0.224017	−	1.55808i	0.498603	−	0.866830i	$-0.333846\pi$
$200$	−1.06781	−	1.23232i	−0.0755055	−	0.0871380i
$201$	5.51769	+	12.0821i	0.389188	+	0.852203i
$202$	10.1012	−	2.96599i	0.710721	−	0.208686i
$203$	0.679050	−	1.48691i	0.0476600	−	0.104361i
$204$	−0.795945	+	5.53592i	−0.0557273	+	0.387592i
$205$	6.83139	−	4.39027i	0.477125	−	0.306629i
$206$	9.68387			0.674707
$207$	−0.663792	−	4.74967i	−0.0461367	−	0.330125i
$208$	−3.10713			−0.215440
$209$	3.96046	−	2.54524i	0.273951	−	0.176058i
$210$	−0.261232	+	1.81691i	−0.0180268	+	0.125379i
$211$	−0.439657	+	0.962713i	−0.0302672	+	0.0662759i	−0.924162	−	0.382001i	$-0.875235\pi$
$211$	−0.439657	+	0.962713i	−0.0302672	+	0.0662759i	0.893895	+	0.448277i	$0.147962\pi$
$212$	9.60050	−	2.81896i	0.659365	−	0.193607i
$213$	−3.02616	−	6.62636i	−0.207349	−	0.454031i
$214$	−3.44908	−	3.98046i	−0.235775	−	0.272098i
$215$	−2.08229	−	14.4827i	−0.142011	−	0.987710i
$216$	0.959493	+	0.281733i	0.0652852	+	0.0191695i
$217$	−0.678082	+	0.782549i	−0.0460312	+	0.0531229i
$218$	−15.2015	−	9.76944i	−1.02958	−	0.661670i
$219$	−9.28895	−	5.96965i	−0.627689	−	0.403391i
$220$	−3.15294	+	3.63869i	−0.212571	+	0.245320i
$221$	16.6738	+	4.89586i	1.12160	+	0.329331i
$222$	1.14517	+	7.96482i	0.0768587	+	0.534564i
$223$	0.0563626	+	0.0650459i	0.00377432	+	0.00435580i	0.757634	−	0.652680i	$-0.226355\pi$
$223$	0.0563626	+	0.0650459i	0.00377432	+	0.00435580i	−0.753859	+	0.657036i	$0.771810\pi$
$224$	0.415415	+	0.909632i	0.0277561	+	0.0607773i
$225$	1.56454	−	0.459390i	0.104303	−	0.0306260i
$226$	0.988893	−	2.16537i	0.0657802	−	0.144038i
$227$	1.13551	−	7.89766i	0.0753665	−	0.524186i	−0.916808	−	0.399328i	$-0.869243\pi$
$227$	1.13551	−	7.89766i	0.0753665	−	0.524186i	0.992175	−	0.124858i	$-0.0398475\pi$
$228$	1.50993	−	0.970371i	0.0999973	−	0.0642644i
$229$	20.2465			1.33792			0.668962	−	0.743296i	$-0.266739\pi$
$229$	20.2465			1.33792			0.668962	+	0.743296i	$0.266739\pi$
$230$	8.43677	+	2.51344i	0.556304	+	0.165731i
$231$	−2.62295			−0.172578
$232$	1.37514	−	0.883748i	0.0902823	−	0.0580209i
$233$	−4.30505	+	29.9423i	−0.282033	+	1.96158i	−0.00761792	+	0.999971i	$0.502425\pi$
$233$	−4.30505	+	29.9423i	−0.282033	+	1.96158i	−0.274415	+	0.961611i	$0.588484\pi$
$234$	1.29075	−	2.82634i	0.0843788	−	0.184764i
$235$	7.51916	−	2.20782i	0.490496	−	0.144023i
$236$	3.60099	+	7.88507i	0.234404	+	0.513274i
$237$	6.17526	+	7.12663i	0.401126	+	0.462924i
$238$	−0.795945	−	5.53592i	−0.0515935	−	0.358841i
$239$	−8.72748	−	2.56262i	−0.564534	−	0.165762i	−0.0130013	−	0.999915i	$-0.504139\pi$
$239$	−8.72748	−	2.56262i	−0.564534	−	0.165762i	−0.551533	+	0.834153i	$0.685957\pi$
$240$	−1.20206	+	1.38725i	−0.0775926	+	0.0895466i
$241$	2.55441	+	1.64162i	0.164544	+	0.105746i	0.620321	−	0.784348i	$-0.287002\pi$
$241$	2.55441	+	1.64162i	0.164544	+	0.105746i	−0.455777	+	0.890094i	$0.650639\pi$
$242$	3.46607	+	2.22751i	0.222807	+	0.143190i
$243$	−0.654861	+	0.755750i	−0.0420093	+	0.0484814i
$244$	−1.79744	−	0.527775i	−0.115069	−	0.0337873i
$245$	−0.261232	−	1.81691i	−0.0166895	−	0.116078i
$246$	2.89704	+	3.34336i	0.184708	+	0.213165i
$247$	−2.31670	−	5.07287i	−0.147408	−	0.322779i
$248$	−0.993517	+	0.291723i	−0.0630884	+	0.0185244i
$249$	3.63938	−	7.96913i	0.230636	−	0.505023i
$250$	−1.73213	+	12.0472i	−0.109549	+	0.761932i
$251$	−15.7959	+	10.1514i	−0.997029	+	0.640752i	−0.934005	−	0.357260i	$-0.883711\pi$
$251$	−15.7959	+	10.1514i	−0.997029	+	0.640752i	−0.0630243	+	0.998012i	$0.520075\pi$
$252$	−1.00000			−0.0629941
$253$	−1.83930	+	12.4440i	−0.115636	+	0.782350i
$254$	−16.5023			−1.03544
$255$	8.63648	−	5.55033i	0.540838	−	0.347575i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	9.91795	−	21.7173i	0.618664	−	1.35469i	−0.297822	−	0.954621i	$-0.596260\pi$
$257$	9.91795	−	21.7173i	0.618664	−	1.35469i	0.916487	−	0.400065i	$-0.131012\pi$
$258$	7.64816	−	2.24570i	0.476153	−	0.139811i
$259$	−3.34273	−	7.31956i	−0.207707	−	0.454815i
$260$	3.73495	+	4.31036i	0.231632	+	0.267317i
$261$	0.232632	+	1.61799i	0.0143996	+	0.100151i
$262$	−8.67379	−	2.54685i	−0.535869	−	0.157345i
$263$	10.5957	−	12.2281i	0.653358	−	0.754015i	−0.328319	−	0.944567i	$-0.606482\pi$
$263$	10.5957	−	12.2281i	0.653358	−	0.754015i	0.981677	+	0.190552i	$0.0610277\pi$
$264$	−2.20657	−	1.41807i	−0.135805	−	0.0872765i
$265$	−15.4510	−	9.92974i	−0.949146	−	0.609979i
$266$	−1.17538	+	1.35646i	−0.0720671	+	0.0831699i
$267$	−1.58587	−	0.465654i	−0.0970538	−	0.0284976i
$268$	−1.89028	−	13.1472i	−0.115467	−	0.803091i
$269$	2.24731	+	2.59354i	0.137021	+	0.158131i	0.820113	−	0.572202i	$-0.193911\pi$
$269$	2.24731	+	2.59354i	0.137021	+	0.158131i	−0.683092	+	0.730333i	$0.739365\pi$
$270$	−0.762534	−	1.66972i	−0.0464063	−	0.101616i
$271$	17.6813	−	5.19169i	1.07406	−	0.315373i	0.303560	−	0.952812i	$-0.401825\pi$
$271$	17.6813	−	5.19169i	1.07406	−	0.315373i	0.770500	+	0.637440i	$0.220006\pi$
$272$	2.32335	−	5.08743i	0.140874	−	0.308471i
$273$	−0.442190	+	3.07550i	−0.0267626	+	0.186138i
$274$	−1.40571	+	0.903396i	−0.0849221	+	0.0545761i
$275$	−4.27696			−0.257910
$276$	−0.701234	+	4.74429i	−0.0422093	+	0.285573i
$277$	19.5422			1.17418			0.587089	−	0.809522i	$-0.300274\pi$
$277$	19.5422			1.17418			0.587089	+	0.809522i	$0.300274\pi$
$278$	3.84038	−	2.46806i	0.230330	−	0.148024i
$279$	0.147361	−	1.02492i	0.00882230	−	0.0613604i
$280$	0.762534	−	1.66972i	0.0455701	−	0.0997846i
$281$	20.1697	−	5.92236i	1.20322	−	0.353298i	0.382139	−	0.924105i	$-0.375188\pi$
$281$	20.1697	−	5.92236i	1.20322	−	0.353298i	0.821084	+	0.570807i	$0.193369\pi$
$282$	1.77351	+	3.88344i	0.105611	+	0.231255i
$283$	8.17958	+	9.43974i	0.486226	+	0.561134i	0.944853	−	0.327494i	$-0.106204\pi$
$283$	8.17958	+	9.43974i	0.486226	+	0.561134i	−0.458627	+	0.888629i	$0.651659\pi$
$284$	1.03672	+	7.21051i	0.0615177	+	0.427865i
$285$	−3.16117	−	0.928203i	−0.187251	−	0.0549820i
$286$	−5.33701	+	6.15924i	−0.315584	+	0.364204i
$287$	−3.72162	−	2.39174i	−0.219680	−	0.141180i
$288$	−0.841254	−	0.540641i	−0.0495713	−	0.0318576i
$289$	−9.35139	+	10.7921i	−0.550081	+	0.634828i
$290$	−2.87898	−	0.845344i	−0.169059	−	0.0496403i
$291$	−1.15259	−	8.01641i	−0.0675658	−	0.469931i
$292$	7.23084	+	8.34484i	0.423153	+	0.488345i
$293$	−0.0665593	−	0.145745i	−0.00388844	−	0.00851449i	0.907678	−	0.419668i	$-0.137853\pi$
$293$	−0.0665593	−	0.145745i	−0.00388844	−	0.00851449i	−0.911566	+	0.411153i	$0.865126\pi$
$294$	0.959493	−	0.281733i	0.0559588	−	0.0164310i
$295$	6.60996	−	14.4738i	0.384847	−	0.842697i
$296$	1.14517	−	7.96482i	0.0665616	−	0.462946i
$297$	2.20657	−	1.41807i	0.128038	−	0.0822850i
$298$	−4.05193			−0.234722
$299$	14.2810	+	4.25452i	0.825891	+	0.246045i
$300$	−1.63059			−0.0941422
$301$	−6.70567	+	4.30947i	−0.386508	+	0.248394i
$302$	1.09588	−	7.62204i	0.0630610	−	0.438599i
$303$	4.37336	−	9.57632i	0.251243	−	0.550145i
$304$	−1.72215	+	0.505669i	−0.0987720	+	0.0290021i
$305$	1.42847	+	3.12791i	0.0817939	+	0.179104i
$306$	3.66254	+	4.22679i	0.209373	+	0.241630i
$307$	−1.35213	−	9.40428i	−0.0771702	−	0.536730i	−0.991332	−	0.131381i	$-0.958059\pi$
$307$	−1.35213	−	9.40428i	−0.0771702	−	0.536730i	0.914162	−	0.405350i	$-0.132850\pi$
$308$	2.51670	+	0.738971i	0.143402	+	0.0421068i
$309$	6.34158	−	7.31858i	0.360760	−	0.416339i
$310$	1.59896	+	1.02759i	0.0908148	+	0.0583631i
$311$	1.17347	+	0.754143i	0.0665414	+	0.0427635i	0.573489	−	0.819214i	$-0.305590\pi$
$311$	1.17347	+	0.754143i	0.0665414	+	0.0427635i	−0.506947	+	0.861977i	$0.669226\pi$
$312$	−2.03474	+	2.34821i	−0.115194	+	0.132941i
$313$	−9.15415	−	2.68790i	−0.517423	−	0.151929i	0.0125863	−	0.999921i	$-0.495994\pi$
$313$	−9.15415	−	2.68790i	−0.517423	−	0.151929i	−0.530010	+	0.847992i	$0.677812\pi$
$314$	−0.443153	−	3.08220i	−0.0250086	−	0.173938i
$315$	1.20206	+	1.38725i	0.0677284	+	0.0781627i
$316$	−3.91732	−	8.57772i	−0.220366	−	0.482535i
$317$	12.5685	−	3.69044i	0.705917	−	0.207276i	0.0909805	−	0.995853i	$-0.471000\pi$
$317$	12.5685	−	3.69044i	0.705917	−	0.207276i	0.614936	+	0.788577i	$0.289182\pi$
$318$	4.15656	−	9.10160i	0.233089	−	0.510393i
$319$	0.610183	−	4.24391i	0.0341637	−	0.237614i
$320$	1.54420	−	0.992398i	0.0863235	−	0.0554767i
$321$	−5.26690			−0.293970
$322$	−0.663792	−	4.74967i	−0.0369917	−	0.264689i
$323$	10.0383			0.558548
$324$	0.841254	−	0.540641i	0.0467363	−	0.0300356i
$325$	−0.721031	+	5.01488i	−0.0399956	+	0.278176i
$326$	−4.85083	+	10.6218i	−0.268663	+	0.588290i
$327$	−17.3381	+	5.09094i	−0.958801	+	0.281529i
$328$	−1.83775	−	4.02412i	−0.101473	−	0.222195i
$329$	−2.79576	−	3.22648i	−0.154135	−	0.177881i
$330$	0.685200	+	4.76567i	0.0377190	+	0.262342i
$331$	−0.767008	−	0.225214i	−0.0421586	−	0.0123789i	0.260585	−	0.965451i	$-0.416084\pi$
$331$	−0.767008	−	0.225214i	−0.0421586	−	0.0123789i	−0.302744	+	0.953072i	$0.597903\pi$
$332$	−5.73712	+	6.62099i	−0.314866	+	0.363374i
$333$	6.76934	+	4.35039i	0.370957	+	0.238400i
$334$	11.7006	+	7.51955i	0.640231	+	0.411451i
$335$	−15.9662	+	18.4260i	−0.872326	+	1.00672i
$336$	0.959493	+	0.281733i	0.0523446	+	0.0153698i
$337$	−4.78417	−	33.2747i	−0.260610	−	1.81259i	−0.528275	−	0.849074i	$-0.677161\pi$
$337$	−4.78417	−	33.2747i	−0.260610	−	1.81259i	0.267664	−	0.963512i	$-0.413748\pi$
$338$	−2.19101	−	2.52856i	−0.119175	−	0.137535i
$339$	−0.988893	−	2.16537i	−0.0537093	−	0.117607i
$340$	−9.85035	+	2.89232i	−0.534210	+	0.156858i
$341$	−1.12825	+	2.47053i	−0.0610982	+	0.133787i
$342$	0.255434	−	1.77658i	0.0138123	−	0.0960667i
$343$	−0.841254	+	0.540641i	−0.0454234	+	0.0291919i
$344$	−7.97104			−0.429770
$345$	7.42444	−	4.73013i	0.399718	−	0.254662i
$346$	−24.3505			−1.30909
$347$	6.41269	−	4.12119i	0.344251	−	0.221237i	−0.357078	−	0.934075i	$-0.616227\pi$
$347$	6.41269	−	4.12119i	0.344251	−	0.221237i	0.701329	+	0.712838i	$0.252590\pi$
$348$	0.232632	−	1.61799i	0.0124704	−	0.0867335i
$349$	−8.87134	+	19.4255i	−0.474872	+	1.03982i	0.508970	+	0.860784i	$0.330026\pi$
$349$	−8.87134	+	19.4255i	−0.474872	+	1.03982i	−0.983842	+	0.179040i	$0.942701\pi$
$350$	1.56454	−	0.459390i	0.0836282	−	0.0245554i
$351$	−1.29075	−	2.82634i	−0.0688950	−	0.150859i
$352$	1.71767	+	1.98229i	0.0915520	+	0.105657i
$353$	−1.58717	−	11.0390i	−0.0844765	−	0.587547i	−0.987460	−	0.157871i	$-0.949537\pi$
$353$	−1.58717	−	11.0390i	−0.0844765	−	0.587547i	0.902983	−	0.429676i	$-0.141372\pi$
$354$	8.31728	+	2.44217i	0.442059	+	0.129800i
$355$	8.75659	−	10.1056i	0.464752	−	0.536352i
$356$	1.39044	+	0.893584i	0.0736934	+	0.0473598i
$357$	−4.70500	−	3.02372i	−0.249015	−	0.160032i
$358$	−2.32122	+	2.67884i	−0.122681	+	0.141581i
$359$	−31.4856	−	9.24501i	−1.66175	−	0.487933i	−0.689971	−	0.723837i	$-0.742377\pi$
$359$	−31.4856	−	9.24501i	−1.66175	−	0.487933i	−0.971776	+	0.235904i	$0.924195\pi$
$360$	0.261232	+	1.81691i	0.0137682	+	0.0957596i
$361$	10.3327	+	11.9246i	0.543827	+	0.627610i
$362$	−0.115964	−	0.253925i	−0.00609493	−	0.0133460i
$363$	3.95323	−	1.16077i	0.207491	−	0.0609248i
$364$	1.29075	−	2.82634i	0.0676535	−	0.148141i
$365$	2.88448	−	20.0620i	0.150980	−	1.05009i
$366$	−1.57594	+	1.01279i	−0.0823755	+	0.0529395i
$367$	0.246329			0.0128583			0.00642913	−	0.999979i	$-0.497954\pi$
$367$	0.246329			0.0128583			0.00642913	+	0.999979i	$0.497954\pi$
$368$	2.00945	−	4.35455i	0.104750	−	0.226997i
$369$	4.42390			0.230299
$370$	−12.4258	+	7.98555i	−0.645985	+	0.415149i
$371$	−1.42398	+	9.90397i	−0.0739291	+	0.514188i
$372$	−0.430146	+	0.941888i	−0.0223020	+	0.0488346i
$373$	30.5830	−	8.97999i	1.58353	−	0.464966i	0.632626	−	0.774457i	$-0.281977\pi$
$373$	30.5830	−	8.97999i	1.58353	−	0.464966i	0.950902	+	0.309491i	$0.100159\pi$
$374$	−6.09404	−	13.3441i	−0.315115	−	0.690007i
$375$	7.97036	+	9.19829i	0.411588	+	0.474998i
$376$	−0.607576	−	4.22579i	−0.0313334	−	0.217928i
$377$	−4.87327	−	1.43092i	−0.250986	−	0.0736962i
$378$	−0.654861	+	0.755750i	−0.0336824	+	0.0388716i
$379$	−12.2611	−	7.87972i	−0.629809	−	0.404754i	0.186430	−	0.982468i	$-0.440308\pi$
$379$	−12.2611	−	7.87972i	−0.629809	−	0.404754i	−0.816239	+	0.577714i	$0.803945\pi$
$380$	2.77161	+	1.78121i	0.142181	+	0.0913741i
$381$	−10.8067	+	12.4716i	−0.553644	+	0.638939i
$382$	3.99251	+	1.17231i	0.204275	+	0.0599805i
$383$	−3.61754	−	25.1606i	−0.184848	−	1.28564i	−0.845103	−	0.534603i	$-0.820461\pi$
$383$	−3.61754	−	25.1606i	−0.184848	−	1.28564i	0.660256	−	0.751041i	$-0.270448\pi$
$384$	0.654861	+	0.755750i	0.0334182	+	0.0385667i
$385$	−2.00009	−	4.37958i	−0.101934	−	0.223204i
$386$	−18.0829	+	5.30963i	−0.920397	+	0.270253i
$387$	3.31129	−	7.25071i	0.168322	−	0.368574i
$388$	−1.15259	+	8.01641i	−0.0585137	+	0.406972i
$389$	−32.2740	+	20.7412i	−1.63636	+	1.05162i	−0.692422	+	0.721493i	$0.743456\pi$
$389$	−32.2740	+	20.7412i	−1.63636	+	1.05162i	−0.943935	+	0.330130i	$0.892907\pi$
$390$	5.70343			0.288804
$391$	−17.6447	+	20.2016i	−0.892332	+	1.02164i
$392$	−1.00000			−0.0505076
$393$	−7.60491	+	4.88738i	−0.383617	+	0.246536i
$394$	−1.85429	+	12.8969i	−0.0934177	+	0.649735i
$395$	−7.19061	+	15.7452i	−0.361799	+	0.792228i
$396$	−2.51670	+	0.738971i	−0.126469	+	0.0371347i
$397$	13.2128	+	28.9320i	0.663133	+	1.45206i	0.879574	+	0.475762i	$0.157828\pi$
$397$	13.2128	+	28.9320i	0.663133	+	1.45206i	−0.216441	+	0.976296i	$0.569445\pi$
$398$	14.5414	+	16.7817i	0.728896	+	0.841191i
$399$	0.255434	+	1.77658i	0.0127877	+	0.0889405i
$400$	1.56454	+	0.459390i	0.0782270	+	0.0229695i
$401$	−23.9979	+	27.6950i	−1.19840	+	1.38302i	−0.294291	+	0.955716i	$0.595084\pi$
$401$	−23.9979	+	27.6950i	−1.19840	+	1.38302i	−0.904106	+	0.427308i	$0.859462\pi$
$402$	−11.1738	−	7.18098i	−0.557300	−	0.358155i
$403$	2.70657	+	1.73941i	0.134824	+	0.0866461i
$404$	−6.89417	+	7.95629i	−0.342998	+	0.395840i
$405$	−1.76124	−	0.517147i	−0.0875168	−	0.0256972i
$406$	0.232632	+	1.61799i	0.0115453	+	0.0802996i
$407$	−13.8216	−	15.9510i	−0.685112	−	0.790661i
$408$	−2.32335	−	5.08743i	−0.115023	−	0.251866i
$409$	−23.3317	+	6.85081i	−1.15368	+	0.338751i	−0.801973	−	0.597360i	$-0.796216\pi$
$409$	−23.3317	+	6.85081i	−1.15368	+	0.338751i	−0.351706	+	0.936111i	$0.614398\pi$
$410$	−3.37337	+	7.38665i	−0.166599	+	0.364801i
$411$	−0.237804	+	1.65396i	−0.0117300	+	0.0815840i
$412$	−8.14659	+	5.23549i	−0.401354	+	0.257934i
$413$	−8.66841			−0.426545
$414$	3.12628	+	3.63681i	0.153648	+	0.178739i
$415$	16.0813			0.789402
$416$	2.61388	−	1.67984i	0.128156	−	0.0823609i
$417$	0.649676	−	4.51860i	0.0318148	−	0.221277i
$418$	−1.95570	+	4.28238i	−0.0956562	+	0.209458i
$419$	−0.987299	+	0.289897i	−0.0482327	+	0.0141624i	−0.305760	−	0.952109i	$-0.598910\pi$
$419$	−0.987299	+	0.289897i	−0.0482327	+	0.0141624i	0.257527	+	0.966271i	$0.417092\pi$
$420$	−0.762534	−	1.66972i	−0.0372078	−	0.0814738i
$421$	15.7250	+	18.1476i	0.766391	+	0.884462i	0.996049	−	0.0888092i	$-0.0283061\pi$
$421$	15.7250	+	18.1476i	0.766391	+	0.884462i	−0.229658	+	0.973271i	$0.573761\pi$
$422$	−0.150620	−	1.04758i	−0.00733205	−	0.0509955i
$423$	4.09631	+	1.20278i	0.199169	+	0.0584814i
$424$	−6.55241	+	7.56189i	−0.318213	+	0.367238i
$425$	−7.67193	−	4.93045i	−0.372143	−	0.239162i
$426$	6.12825	+	3.93838i	0.296914	+	0.190815i
$427$	1.22676	−	1.41576i	0.0593672	−	0.0685134i
$428$	5.05355	+	1.48386i	0.244273	+	0.0717249i
$429$	1.15984	+	8.06689i	0.0559978	+	0.389473i
$430$	9.58166	+	11.0578i	0.462069	+	0.533256i
$431$	−7.23870	−	15.8505i	−0.348676	−	0.763493i	−0.999989	−	0.00468440i	$-0.998509\pi$
$431$	−7.23870	−	15.8505i	−0.348676	−	0.763493i	0.651313	−	0.758809i	$-0.274218\pi$
$432$	−0.959493	+	0.281733i	−0.0461636	+	0.0135549i
$433$	−13.8317	+	30.2871i	−0.664708	+	1.45551i	0.213361	+	0.976973i	$0.431559\pi$
$433$	−13.8317	+	30.2871i	−0.664708	+	1.45551i	−0.878069	+	0.478534i	$0.841168\pi$
$434$	0.147361	−	1.02492i	0.00707357	−	0.0491978i
$435$	−2.52420	+	1.62220i	−0.121026	+	0.0777787i
$436$	18.0701			0.865401
$437$	8.60775	+	0.0339469i	0.411764	+	0.00162390i
$438$	11.0418			0.527598
$439$	−7.95590	+	5.11294i	−0.379714	+	0.244027i	−0.716550	−	0.697536i	$-0.754280\pi$
$439$	−7.95590	+	5.11294i	−0.379714	+	0.244027i	0.336836	+	0.941563i	$0.390643\pi$
$440$	0.685200	−	4.76567i	0.0326656	−	0.227194i
$441$	0.415415	−	0.909632i	0.0197817	−	0.0433158i
$442$	−16.6738	+	4.89586i	−0.793090	+	0.232872i
$443$	−1.04553	−	2.28939i	−0.0496746	−	0.108772i	0.883167	−	0.469058i	$-0.155406\pi$
$443$	−1.04553	−	2.28939i	−0.0496746	−	0.108772i	−0.932842	+	0.360286i	$0.882679\pi$
$444$	−5.26949	−	6.08131i	−0.250079	−	0.288606i
$445$	−0.431771	−	3.00303i	−0.0204679	−	0.142357i
$446$	−0.0825818	−	0.0242482i	−0.00391036	−	0.00114819i
$447$	−2.65345	+	3.06224i	−0.125504	+	0.144839i
$448$	−0.841254	−	0.540641i	−0.0397455	−	0.0255429i
$449$	−2.95805	−	1.90102i	−0.139599	−	0.0897148i	0.468977	−	0.883210i	$-0.344623\pi$
$449$	−2.95805	−	1.90102i	−0.139599	−	0.0897148i	−0.608576	+	0.793495i	$0.708259\pi$
$450$	−1.06781	+	1.23232i	−0.0503370	+	0.0580920i
$451$	−11.1336	−	3.26913i	−0.524263	−	0.153937i
$452$	0.338780	+	2.35626i	0.0159349	+	0.110829i
$453$	−5.04270	−	5.81959i	−0.236927	−	0.273428i
$454$	3.31454	+	7.25783i	0.155559	+	0.340627i
$455$	−5.47240	+	1.60684i	−0.256550	+	0.0753299i
$456$	−0.745609	+	1.63266i	−0.0349163	+	0.0764561i
$457$	1.67016	−	11.6162i	0.0781267	−	0.543383i	−0.912740	−	0.408540i	$-0.866038\pi$
$457$	1.67016	−	11.6162i	0.0781267	−	0.543383i	0.990867	−	0.134843i	$-0.0430529\pi$
$458$	−17.0324	+	10.9461i	−0.795872	+	0.511476i
$459$	5.59285			0.261052
$460$	−8.45633	+	2.44682i	−0.394278	+	0.114084i
$461$	0.218486			0.0101759			0.00508794	−	0.999987i	$-0.498380\pi$
$461$	0.218486			0.0101759			0.00508794	+	0.999987i	$0.498380\pi$
$462$	2.20657	−	1.41807i	0.102659	−	0.0659748i
$463$	−1.45462	+	10.1171i	−0.0676017	+	0.470180i	0.927697	+	0.373333i	$0.121785\pi$
$463$	−1.45462	+	10.1171i	−0.0676017	+	0.470180i	−0.995299	+	0.0968476i	$0.969124\pi$
$464$	−0.679050	+	1.48691i	−0.0315241	+	0.0690282i
$465$	1.82370	−	0.535485i	0.0845718	−	0.0248325i
$466$	−12.5664	−	27.5165i	−0.582126	−	1.27468i
$467$	−7.37469	−	8.51085i	−0.341260	−	0.393835i	0.559014	−	0.829158i	$-0.311180\pi$
$467$	−7.37469	−	8.51085i	−0.341260	−	0.393835i	−0.900274	+	0.435323i	$0.856634\pi$
$468$	0.442190	+	3.07550i	0.0204403	+	0.142165i
$469$	12.7443	+	3.74207i	0.588478	+	0.172793i
$470$	−5.13188	+	5.92251i	−0.236716	+	0.273185i
$471$	−2.61957	−	1.68350i	−0.120704	−	0.0775715i
$472$	−7.29233	−	4.68650i	−0.335657	−	0.215714i
$473$	−13.6916	+	15.8009i	−0.629540	+	0.726528i
$474$	−9.04791	−	2.65671i	−0.415584	−	0.122027i
$475$	0.416509	+	2.89688i	0.0191107	+	0.132918i
$476$	3.66254	+	4.22679i	0.167872	+	0.193735i
$477$	−4.15656	−	9.10160i	−0.190316	−	0.416734i
$478$	8.72748	−	2.56262i	0.399186	−	0.117211i
$479$	0.847706	−	1.85622i	0.0387327	−	0.0848127i	−0.889277	−	0.457370i	$-0.848792\pi$
$479$	0.847706	−	1.85622i	0.0387327	−	0.0848127i	0.928009	+	0.372557i	$0.121519\pi$
$480$	0.261232	−	1.81691i	0.0119236	−	0.0829303i
$481$	−21.0332	+	13.5172i	−0.959031	+	0.616332i
$482$	−3.03643			−0.138305
$483$	−4.02425	−	2.60871i	−0.183110	−	0.118701i
$484$	−4.12013			−0.187278
$485$	12.5062	−	8.03728i	0.567880	−	0.364954i
$486$	0.142315	−	0.989821i	0.00645553	−	0.0448992i
$487$	2.52283	−	5.52422i	0.114320	−	0.250326i	−0.843820	−	0.536627i	$-0.819698\pi$
$487$	2.52283	−	5.52422i	0.114320	−	0.250326i	0.958140	+	0.286301i	$0.0924256\pi$
$488$	1.79744	−	0.527775i	0.0813661	−	0.0238912i
$489$	4.85083	+	10.6218i	0.219362	+	0.480336i
$490$	1.20206	+	1.38725i	0.0543035	+	0.0626696i
$491$	0.986193	+	6.85913i	0.0445063	+	0.309548i	0.999899	+	0.0142097i	$0.00452326\pi$
$491$	0.986193	+	6.85913i	0.0445063	+	0.309548i	−0.955393	+	0.295338i	$0.904568\pi$
$492$	−4.24470	−	1.24636i	−0.191366	−	0.0561901i
$493$	5.98689	−	6.90924i	0.269636	−	0.311177i
$494$	4.69153	+	3.01507i	0.211082	+	0.135654i
$495$	4.05036	+	2.60301i	0.182050	+	0.116997i
$496$	0.678082	−	0.782549i	0.0304468	−	0.0351375i
$497$	−6.98958	−	2.05233i	−0.313525	−	0.0920594i
$498$	1.24680	+	8.67166i	0.0558703	+	0.388586i
$499$	−22.8727	−	26.3965i	−1.02392	−	1.18167i	−0.983206	−	0.182499i	$-0.941581\pi$
$499$	−22.8727	−	26.3965i	−1.02392	−	1.18167i	−0.0407164	−	0.999171i	$-0.512964\pi$
$500$	−5.05605	−	11.0712i	−0.226113	−	0.495119i
$501$	13.3452	−	3.91850i	0.596219	−	0.175066i
$502$	7.80010	−	17.0798i	0.348135	−	0.762310i
$503$	1.42353	−	9.90084i	0.0634719	−	0.441457i	−0.933161	−	0.359459i	$-0.882961\pi$
$503$	1.42353	−	9.90084i	0.0634719	−	0.441457i	0.996633	−	0.0819971i	$-0.0261298\pi$
$504$	0.841254	−	0.540641i	0.0374724	−	0.0240821i
$505$	19.3246			0.859932
$506$	−5.18044	−	11.4630i	−0.230298	−	0.509592i
$507$	−3.34576			−0.148591
$508$	13.8826	−	8.92180i	0.615941	−	0.395841i
$509$	5.49198	−	38.1976i	0.243428	−	1.69308i	−0.391236	−	0.920290i	$-0.627952\pi$
$509$	5.49198	−	38.1976i	0.243428	−	1.69308i	0.634664	−	0.772788i	$-0.281139\pi$
$510$	−4.26474	+	9.33847i	−0.188846	+	0.413514i
$511$	−10.5945	+	3.11083i	−0.468674	+	0.137615i
$512$	−0.415415	−	0.909632i	−0.0183589	−	0.0402004i
$513$	−1.17538	−	1.35646i	−0.0518942	−	0.0598892i
$514$	3.39774	+	23.6318i	0.149868	+	1.04235i
$515$	17.0556	+	5.00798i	0.751560	+	0.220678i
$516$	−5.21992	+	6.02411i	−0.229794	+	0.265197i
$517$	−9.42037	−	6.05410i	−0.414307	−	0.266259i
$518$	6.76934	+	4.35039i	0.297428	+	0.191145i
$519$	−15.9462	+	18.4029i	−0.699961	+	0.807798i
$520$	−5.47240	−	1.60684i	−0.239981	−	0.0704646i
$521$	−5.00189	−	34.7889i	−0.219137	−	1.52413i	−0.741236	−	0.671244i	$-0.765760\pi$
$521$	−5.00189	−	34.7889i	−0.219137	−	1.52413i	0.522099	−	0.852885i	$-0.325149\pi$
$522$	−1.07046	−	1.23537i	−0.0468525	−	0.0540707i
$523$	8.90363	+	19.4962i	0.389328	+	0.852510i	0.998242	+	0.0592737i	$0.0188785\pi$
$523$	8.90363	+	19.4962i	0.389328	+	0.852510i	−0.608913	+	0.793237i	$0.708394\pi$
$524$	8.67379	−	2.54685i	0.378916	−	0.111260i
$525$	0.677372	−	1.48324i	0.0295629	−	0.0647338i
$526$	−2.30266	+	16.0154i	−0.100401	+	0.698303i
$527$	−4.87185	+	3.13094i	−0.212221	+	0.136386i
$528$	2.62295			0.114149
$529$	−15.1984	+	17.2629i	−0.660801	+	0.750561i
$530$	18.3666			0.797795
$531$	7.29233	−	4.68650i	0.316460	−	0.203377i
$532$	0.255434	−	1.77658i	0.0110745	−	0.0770247i
$533$	−5.71013	+	12.5034i	−0.247333	+	0.541584i
$534$	1.58587	−	0.465654i	0.0686274	−	0.0201508i
$535$	−4.01619	−	8.79422i	−0.173635	−	0.380207i
$536$	8.69809	+	10.0381i	0.375700	+	0.433581i
$537$	0.504450	+	3.50853i	0.0217686	+	0.151404i
$538$	−3.29273	−	0.966833i	−0.141960	−	0.0416831i
$539$	−1.71767	+	1.98229i	−0.0739852	+	0.0853835i
$540$	1.54420	+	0.992398i	0.0664518	+	0.0427060i
$541$	12.6009	+	8.09814i	0.541757	+	0.348166i	0.782726	−	0.622367i	$-0.213829\pi$
$541$	12.6009	+	8.09814i	0.541757	+	0.348166i	−0.240969	+	0.970533i	$0.577465\pi$
$542$	−12.0676	+	13.9267i	−0.518347	+	0.598205i
$543$	−0.267844	−	0.0786462i	−0.0114943	−	0.00337503i
$544$	0.795945	+	5.53592i	0.0341259	+	0.237351i
$545$	−21.7213	−	25.0678i	−0.930440	−	1.07378i
$546$	−1.29075	−	2.82634i	−0.0552389	−	0.120956i
$547$	24.4745	−	7.18635i	1.04645	−	0.307266i	0.287069	−	0.957910i	$-0.407319\pi$
$547$	24.4745	−	7.18635i	1.04645	−	0.307266i	0.759383	+	0.650644i	$0.225501\pi$
$548$	0.694147	−	1.51997i	0.0296525	−	0.0649299i
$549$	−0.266601	+	1.85425i	−0.0113783	+	0.0791375i
$550$	3.59801	−	2.31230i	0.153420	−	0.0985967i
$551$	−2.93392			−0.124989
$552$	−1.97504	−	4.37026i	−0.0840633	−	0.186011i
$553$	9.42988			0.400999
$554$	−16.4400	+	10.5653i	−0.698467	+	0.448878i
$555$	−2.10207	+	14.6202i	−0.0892277	+	0.620593i
$556$	−1.89640	+	4.15253i	−0.0804251	+	0.176106i
$557$	15.9465	−	4.68232i	0.675675	−	0.198396i	0.0741464	−	0.997247i	$-0.476377\pi$
$557$	15.9465	−	4.68232i	0.675675	−	0.198396i	0.601529	+	0.798851i	$0.294559\pi$
$558$	0.430146	+	0.941888i	0.0182095	+	0.0398733i
$559$	16.2190	+	18.7177i	0.685989	+	0.791673i
$560$	0.261232	+	1.81691i	0.0110391	+	0.0767785i
$561$	−14.0755	−	4.13295i	−0.594270	−	0.174493i
$562$	−13.7660	+	15.8868i	−0.580682	+	0.670143i
$563$	−19.9781	−	12.8392i	−0.841977	−	0.541106i	0.0470859	−	0.998891i	$-0.485007\pi$
$563$	−19.9781	−	12.8392i	−0.841977	−	0.541106i	−0.889063	+	0.457785i	$0.848643\pi$
$564$	−3.59151	−	2.30813i	−0.151230	−	0.0971896i
$565$	2.86149	−	3.30234i	0.120384	−	0.138931i
$566$	−11.9846	−	3.51900i	−0.503751	−	0.147915i
$567$	0.142315	+	0.989821i	0.00597666	+	0.0415686i
$568$	−4.77044	−	5.50538i	−0.200163	−	0.231001i
$569$	8.41120	+	18.4180i	0.352616	+	0.772121i	0.999951	+	0.00991536i	$0.00315621\pi$
$569$	8.41120	+	18.4180i	0.352616	+	0.772121i	−0.647335	+	0.762206i	$0.724117\pi$
$570$	3.16117	−	0.928203i	0.132407	−	0.0388781i
$571$	4.30087	−	9.41759i	0.179986	−	0.394114i	−0.798038	−	0.602607i	$-0.794129\pi$
$571$	4.30087	−	9.41759i	0.179986	−	0.394114i	0.978024	+	0.208493i	$0.0668559\pi$
$572$	1.15984	−	8.06689i	0.0484955	−	0.337294i
$573$	3.50051	−	2.24964i	0.146236	−	0.0939801i
$574$	4.42390			0.184650
$575$	−6.56191	−	4.25374i	−0.273650	−	0.177393i
$576$	1.00000			0.0416667
$577$	−2.26935	+	1.45843i	−0.0944745	+	0.0607151i	−0.587025	−	0.809569i	$-0.699701\pi$
$577$	−2.26935	+	1.45843i	−0.0944745	+	0.0607151i	0.492551	+	0.870284i	$0.336065\pi$
$578$	2.03225	−	14.1346i	0.0845305	−	0.587922i
$579$	−7.82905	+	17.1432i	−0.325364	+	0.712449i
$580$	2.87898	−	0.845344i	0.119543	−	0.0351010i
$581$	−3.63938	−	7.96913i	−0.150987	−	0.330615i
$582$	5.30362	+	6.12070i	0.219842	+	0.253711i
$583$	3.73502	+	25.9776i	0.154689	+	1.07588i
$584$	−10.5945	−	3.11083i	−0.438405	−	0.128727i
$585$	3.73495	−	4.31036i	0.154421	−	0.178212i
$586$	0.134789	+	0.0866235i	0.00556807	+	0.00357838i
$587$	25.9008	+	16.6454i	1.06904	+	0.687030i	0.952000	−	0.306098i	$-0.0990234\pi$
$587$	25.9008	+	16.6454i	1.06904	+	0.687030i	0.117039	+	0.993127i	$0.462660\pi$
$588$	−0.654861	+	0.755750i	−0.0270060	+	0.0311666i
$589$	1.78322	+	0.523600i	0.0734762	+	0.0215746i
$590$	2.26447	+	15.7497i	0.0932268	+	0.648406i
$591$	8.53250	+	9.84703i	0.350980	+	0.405053i
$592$	3.34273	+	7.31956i	0.137385	+	0.300832i
$593$	−24.0500	+	7.06172i	−0.987615	+	0.289990i	−0.735364	−	0.677672i	$-0.762989\pi$
$593$	−24.0500	+	7.06172i	−0.987615	+	0.289990i	−0.252251	+	0.967662i	$0.581171\pi$
$594$	−1.08961	+	2.38592i	−0.0447074	+	0.0978955i
$595$	1.46103	−	10.1617i	0.0598965	−	0.416590i
$596$	3.40870	−	2.19064i	0.139626	−	0.0897320i
$597$	22.2054			0.908805
$598$	−14.3141	+	4.14175i	−0.585347	+	0.169369i
$599$	30.0506			1.22783			0.613917	−	0.789370i	$-0.289593\pi$
$599$	30.0506			1.22783			0.613917	+	0.789370i	$0.289593\pi$
$600$	1.37174	−	0.881564i	0.0560010	−	0.0359897i
$601$	−0.133169	+	0.926208i	−0.00543206	+	0.0377808i	−0.992357	−	0.123399i	$-0.960621\pi$
$601$	−0.133169	+	0.926208i	−0.00543206	+	0.0377808i	0.986925	+	0.161179i	$0.0515298\pi$
$602$	3.31129	−	7.25071i	0.134958	−	0.295517i
$603$	−12.7443	+	3.74207i	−0.518989	+	0.152389i
$604$	3.19887	+	7.00454i	0.130160	+	0.285011i
$605$	4.95263	+	5.71564i	0.201353	+	0.232374i
$606$	1.49825	+	10.4205i	0.0608621	+	0.423305i
$607$	−0.0369047	−	0.0108362i	−0.00149792	−	0.000439828i	0.280984	−	0.959713i	$-0.409339\pi$
$607$	−0.0369047	−	0.0108362i	−0.00149792	−	0.000439828i	−0.282481	+	0.959273i	$0.591158\pi$
$608$	1.17538	−	1.35646i	0.0476679	−	0.0550117i
$609$	1.37514	+	0.883748i	0.0557234	+	0.0358113i
$610$	−2.89278	−	1.85908i	−0.117125	−	0.0752718i
$611$	−8.68678	+	10.0251i	−0.351429	+	0.405571i
$612$	−5.36630	−	1.57569i	−0.216920	−	0.0636934i
$613$	1.69000	+	11.7542i	0.0682586	+	0.474749i	0.995066	+	0.0992127i	$0.0316324\pi$
$613$	1.69000	+	11.7542i	0.0682586	+	0.474749i	−0.926808	+	0.375536i	$0.877458\pi$
$614$	6.22182	+	7.18036i	0.251092	+	0.289776i
$615$	3.37337	+	7.38665i	0.136027	+	0.297859i
$616$	−2.51670	+	0.738971i	−0.101401	+	0.0297740i
$617$	15.0683	−	32.9950i	0.606627	−	1.32833i	−0.318230	−	0.948013i	$-0.603089\pi$
$617$	15.0683	−	32.9950i	0.606627	−	1.32833i	0.924857	−	0.380314i	$-0.124184\pi$
$618$	−1.37816	+	9.58530i	−0.0554376	+	0.385577i
$619$	37.4224	−	24.0499i	1.50413	−	0.966648i	0.509806	−	0.860289i	$-0.329717\pi$
$619$	37.4224	−	24.0499i	1.50413	−	0.966648i	0.994328	−	0.106359i	$-0.0339193\pi$
$620$	−1.90069			−0.0763334
$621$	4.79579	+	0.0189135i	0.192449	+	0.000758971i
$622$	−1.39491			−0.0559306
$623$	−1.39044	+	0.893584i	−0.0557069	+	0.0358007i
$624$	0.442190	−	3.07550i	0.0177018	−	0.123119i
$625$	−5.89400	+	12.9061i	−0.235760	+	0.516243i
$626$	9.15415	−	2.68790i	0.365874	−	0.107430i
$627$	1.95570	+	4.28238i	0.0781030	+	0.171022i
$628$	2.03917	+	2.35332i	0.0813716	+	0.0939078i
$629$	−6.40476	−	44.5461i	−0.255374	−	1.77617i
$630$	−1.76124	−	0.517147i	−0.0701695	−	0.0206036i
$631$	−2.55596	+	2.94974i	−0.101751	+	0.117427i	−0.804341	−	0.594168i	$-0.797481\pi$
$631$	−2.55596	+	2.94974i	−0.101751	+	0.117427i	0.702590	+	0.711595i	$0.252027\pi$
$632$	7.93292	+	5.09818i	0.315555	+	0.202795i
$633$	−0.890345	−	0.572190i	−0.0353880	−	0.0227425i
$634$	−8.57808	+	9.89964i	−0.340679	+	0.393165i
$635$	−29.0645	−	8.53410i	−1.15339	−	0.338665i
$636$	1.42398	+	9.90397i	0.0564643	+	0.392718i
$637$	2.03474	+	2.34821i	0.0806191	+	0.0930395i
$638$	1.78112	+	3.90010i	0.0705150	+	0.154406i
$639$	6.98958	−	2.05233i	0.276503	−	0.0811888i
$640$	−0.762534	+	1.66972i	−0.0301418	+	0.0660013i
$641$	−2.60335	+	18.1067i	−0.102826	+	0.715172i	0.871560	+	0.490290i	$0.163109\pi$
$641$	−2.60335	+	18.1067i	−0.102826	+	0.715172i	−0.974386	+	0.224883i	$0.927800\pi$
$642$	4.43080	−	2.84750i	0.174870	−	0.112382i
$643$	1.70875			0.0673864			0.0336932	−	0.999432i	$-0.489273\pi$
$643$	1.70875			0.0673864			0.0336932	+	0.999432i	$0.489273\pi$
$644$	3.12628	+	3.63681i	0.123193	+	0.143310i
$645$	14.6316			0.576119
$646$	−8.44479	+	5.42714i	−0.332256	+	0.213528i
$647$	−4.95499	+	34.4627i	−0.194801	+	1.35487i	0.624284	+	0.781198i	$0.285391\pi$
$647$	−4.95499	+	34.4627i	−0.194801	+	1.35487i	−0.819085	+	0.573673i	$0.805518\pi$
$648$	−0.415415	+	0.909632i	−0.0163190	+	0.0357337i
$649$	−21.8158	+	6.40570i	−0.856346	+	0.251446i
$650$	−2.10468	−	4.60861i	−0.0825523	−	0.180764i
$651$	−0.678082	−	0.782549i	−0.0265761	−	0.0306705i
$652$	−1.66182	−	11.5582i	−0.0650820	−	0.452655i
$653$	−12.4570	−	3.65771i	−0.487481	−	0.143137i	0.0287502	−	0.999587i	$-0.490847\pi$
$653$	−12.4570	−	3.65771i	−0.487481	−	0.143137i	−0.516231	+	0.856449i	$0.672665\pi$
$654$	11.8334	−	13.6565i	0.462723	−	0.534010i
$655$	−13.9595	−	8.97125i	−0.545444	−	0.350536i
$656$	3.72162	+	2.39174i	0.145305	+	0.0933817i
$657$	7.23084	−	8.34484i	0.282102	−	0.325563i
$658$	4.09631	+	1.20278i	0.159691	+	0.0468894i
$659$	−4.25155	−	29.5702i	−0.165617	−	1.15189i	−0.887814	−	0.460202i	$-0.847777\pi$
$659$	−4.25155	−	29.5702i	−0.165617	−	1.15189i	0.722197	−	0.691687i	$-0.243132\pi$
$660$	−3.15294	−	3.63869i	−0.122728	−	0.141636i
$661$	−8.67006	−	18.9848i	−0.337226	−	0.738423i	0.662719	−	0.748868i	$-0.269402\pi$
$661$	−8.67006	−	18.9848i	−0.337226	−	0.738423i	−0.999945	+	0.0104454i	$0.996675\pi$
$662$	0.767008	−	0.225214i	0.0298106	−	0.00875319i
$663$	−7.21895	+	15.8073i	−0.280361	+	0.613905i
$664$	1.24680	−	8.67166i	0.0483851	−	0.336526i
$665$	−2.77161	+	1.78121i	−0.107479	+	0.0690723i
$666$	−8.04673			−0.311804
$667$	5.15705	−	5.90434i	0.199682	−	0.228617i
$668$	−13.9086			−0.538139
$669$	−0.0724051	+	0.0465319i	−0.00279934	+	0.00179903i
$670$	3.46978	−	24.1329i	0.134049	−	0.932334i
$671$	2.04119	−	4.46959i	0.0787994	−	0.172547i
$672$	−0.959493	+	0.281733i	−0.0370132	+	0.0108681i
$673$	13.3317	+	29.1923i	0.513898	+	1.12528i	0.971699	+	0.236224i	$0.0759100\pi$
$673$	13.3317	+	29.1923i	0.513898	+	1.12528i	−0.457801	+	0.889055i	$0.651363\pi$
$674$	22.0143	+	25.4059i	0.847961	+	0.978599i
$675$	0.232057	+	1.61399i	0.00893188	+	0.0621226i
$676$	3.21024	+	0.942610i	0.123471	+	0.0362542i
$677$	7.13226	−	8.23107i	0.274115	−	0.316346i	−0.601954	−	0.798530i	$-0.705611\pi$
$677$	7.13226	−	8.23107i	0.274115	−	0.316346i	0.876070	+	0.482185i	$0.160157\pi$
$678$	2.00260	+	1.28699i	0.0769093	+	0.0494266i
$679$	−6.81318	−	4.37857i	−0.261466	−	0.168034i
$680$	6.72294	−	7.75868i	0.257813	−	0.297532i
$681$	7.65567	+	2.24791i	0.293366	+	0.0861400i
$682$	−0.386522	−	2.68832i	−0.0148007	−	0.102941i
$683$	−19.3263	−	22.3037i	−0.739500	−	0.853428i	0.254007	−	0.967202i	$-0.418251\pi$
$683$	−19.3263	−	22.3037i	−0.739500	−	0.853428i	−0.993507	+	0.113774i	$0.963706\pi$
$684$	0.745609	+	1.63266i	0.0285091	+	0.0624262i
$685$	−2.94298	+	0.864138i	−0.112446	+	0.0330170i
$686$	0.415415	−	0.909632i	0.0158606	−	0.0347299i
$687$	−2.88137	+	20.0404i	−0.109931	+	0.764589i
$688$	6.70567	−	4.30947i	0.255651	−	0.164297i
$689$	31.0893			1.18441
$690$	−3.68854	+	7.99319i	−0.140420	+	0.304296i
$691$	−31.9917			−1.21702			−0.608511	−	0.793545i	$-0.708233\pi$
$691$	−31.9917			−1.21702			−0.608511	+	0.793545i	$0.708233\pi$
$692$	20.4850	−	13.1649i	0.778722	−	0.500454i
$693$	0.373285	−	2.59625i	0.0141799	−	0.0986235i
$694$	−3.16662	+	6.93393i	−0.120203	+	0.263208i
$695$	8.04017	−	2.36081i	0.304981	−	0.0895506i
$696$	0.679050	+	1.48691i	0.0257393	+	0.0563613i
$697$	−16.2027	−	18.6989i	−0.613721	−	0.708271i
$698$	−3.03918	−	21.1380i	−0.115035	−	0.800085i
$699$	−29.0248	−	8.52245i	−1.09782	−	0.322349i
$700$	−1.06781	+	1.23232i	−0.0403594	+	0.0465772i
$701$	25.7057	+	16.5200i	0.970890	+	0.623953i	0.926991	−	0.375083i	$-0.122386\pi$
$701$	25.7057	+	16.5200i	0.970890	+	0.623953i	0.0438988	+	0.999036i	$0.486022\pi$
$702$	2.61388	+	1.67984i	0.0986546	+	0.0634015i
$703$	−9.45795	+	10.9151i	−0.356713	+	0.411669i
$704$	−2.51670	−	0.738971i	−0.0948518	−	0.0278510i
$705$	1.11526	+	7.75683i	0.0420033	+	0.292139i
$706$	7.30335	+	8.42851i	0.274865	+	0.317211i
$707$	−4.37336	−	9.57632i	−0.164477	−	0.360155i
$708$	−8.31728	+	2.44217i	−0.312583	+	0.0917825i
$709$	6.76361	−	14.8102i	0.254013	−	0.556210i	−0.739070	−	0.673629i	$-0.764735\pi$
$709$	6.76361	−	14.8102i	0.254013	−	0.556210i	0.993082	+	0.117419i	$0.0374620\pi$
$710$	−1.90299	+	13.2356i	−0.0714179	+	0.496723i
$711$	−7.93292	+	5.09818i	−0.297508	+	0.191197i
$712$	−1.65282			−0.0619422
$713$	−4.18813	+	2.66827i	−0.156847	+	0.0999274i
$714$	5.59285			0.209307
$715$	−12.5850	+	8.08789i	−0.470652	+	0.302470i
$716$	0.504450	−	3.50853i	0.0188522	−	0.131120i
$717$	3.77859	−	8.27395i	0.141114	−	0.308996i
$718$	31.4856	−	9.24501i	1.17503	−	0.345021i
$719$	−14.0378	−	30.7385i	−0.523521	−	1.14635i	−0.968089	−	0.250606i	$-0.919370\pi$
$719$	−14.0378	−	30.7385i	−0.523521	−	1.14635i	0.444568	−	0.895745i	$-0.353357\pi$
$720$	−1.20206	−	1.38725i	−0.0447981	−	0.0516998i
$721$	−1.37816	−	9.58530i	−0.0513253	−	0.356975i
$722$	−15.1394	−	4.44532i	−0.563429	−	0.165438i
$723$	−1.98844	+	2.29478i	−0.0739508	+	0.0853438i
$724$	0.234837	+	0.150921i	0.00872767	+	0.00560893i
$725$	2.24229	+	1.44103i	0.0832765	+	0.0535185i
$726$	−2.69811	+	3.11378i	−0.100136	+	0.115563i
$727$	−14.2824	−	4.19369i	−0.529705	−	0.155535i	0.00593407	−	0.999982i	$-0.498111\pi$
$727$	−14.2824	−	4.19369i	−0.529705	−	0.155535i	−0.535639	+	0.844447i	$0.679929\pi$
$728$	0.442190	+	3.07550i	0.0163887	+	0.113986i
$729$	−0.654861	−	0.755750i	−0.0242541	−	0.0279907i
$730$	8.41975	+	18.4367i	0.311629	+	0.682372i
$731$	−42.7750	+	12.5599i	−1.58209	+	0.464544i
$732$	0.778205	−	1.70403i	0.0287633	−	0.0629828i
$733$	5.79594	−	40.3117i	0.214078	−	1.48895i	−0.545270	−	0.838261i	$-0.683573\pi$
$733$	5.79594	−	40.3117i	0.214078	−	1.48895i	0.759348	−	0.650685i	$-0.225518\pi$
$734$	−0.207225	+	0.133175i	−0.00764882	+	0.00491560i
$735$	1.83560			0.0677070
$736$	0.663792	+	4.74967i	0.0244677	+	0.175075i
$737$	34.8390			1.28331
$738$	−3.72162	+	2.39174i	−0.136995	+	0.0880411i
$739$	−0.206312	+	1.43493i	−0.00758930	+	0.0527847i	−0.993264	−	0.115872i	$-0.963034\pi$
$739$	−0.206312	+	1.43493i	−0.00758930	+	0.0527847i	0.985675	+	0.168657i	$0.0539429\pi$
$740$	6.13590	−	13.4358i	0.225560	−	0.493908i
$741$	5.35094	−	1.57118i	0.196572	−	0.0577186i
$742$	−4.15656	−	9.10160i	−0.152592	−	0.334130i
$743$	−28.0771	−	32.4027i	−1.03005	−	1.18874i	−0.981803	−	0.189905i	$-0.939182\pi$
$743$	−28.0771	−	32.4027i	−1.03005	−	1.18874i	−0.0482466	−	0.998835i	$-0.515363\pi$
$744$	−0.147361	−	1.02492i	−0.00540253	−	0.0375754i
$745$	−7.13642	−	2.09544i	−0.261458	−	0.0767711i
$746$	−20.8731	+	24.0889i	−0.764220	+	0.881956i
$747$	7.37008	+	4.73646i	0.269657	+	0.173298i
$748$	12.3410	+	7.93108i	0.451232	+	0.289989i
$749$	−3.44908	+	3.98046i	−0.126027	+	0.145443i
$750$	−11.6781	−	3.42899i	−0.426423	−	0.125209i
$751$	−3.09074	−	21.4966i	−0.112783	−	0.784421i	−0.965191	−	0.261545i	$-0.915768\pi$
$751$	−3.09074	−	21.4966i	−0.112783	−	0.784421i	0.852409	−	0.522876i	$-0.175141\pi$
$752$	2.79576	+	3.22648i	0.101951	+	0.117658i
$753$	−7.80010	−	17.0798i	−0.284251	−	0.622424i
$754$	4.87327	−	1.43092i	0.177474	−	0.0521111i
$755$	5.87183	−	12.8575i	0.213698	−	0.467933i
$756$	0.142315	−	0.989821i	0.00517594	−	0.0359995i
$757$	−8.95552	+	5.75536i	−0.325494	+	0.209182i	−0.693174	−	0.720770i	$-0.743788\pi$
$757$	−8.95552	+	5.75536i	−0.325494	+	0.209182i	0.367681	+	0.929952i	$0.380152\pi$
$758$	14.5748			0.529380
$759$	−12.0556	−	3.59155i	−0.437591	−	0.130365i
$760$	−3.29462			−0.119509
$761$	12.9170	−	8.30128i	0.468243	−	0.300921i	−0.285161	−	0.958480i	$-0.592047\pi$
$761$	12.9170	−	8.30128i	0.468243	−	0.300921i	0.753404	+	0.657558i	$0.228411\pi$
$762$	2.34852	−	16.3343i	0.0850778	−	0.591729i
$763$	−7.50659	+	16.4371i	−0.271757	+	0.595065i
$764$	−3.99251	+	1.17231i	−0.144444	+	0.0424126i
$765$	4.26474	+	9.33847i	0.154192	+	0.337633i
$766$	16.6461	+	19.2106i	0.601448	+	0.694108i
$767$	3.83309	+	26.6597i	0.138405	+	0.962626i
$768$	−0.959493	−	0.281733i	−0.0346227	−	0.0101661i
$769$	−7.85629	+	9.06665i	−0.283305	+	0.326952i	−0.879510	−	0.475881i	$-0.842129\pi$
$769$	−7.85629	+	9.06665i	−0.283305	+	0.326952i	0.596204	+	0.802833i	$0.296675\pi$
$770$	4.05036	+	2.60301i	0.145965	+	0.0938060i
$771$	20.0847	+	12.9077i	0.723335	+	0.464859i
$772$	12.3417	−	14.2431i	0.444189	−	0.512621i
$773$	28.9606	+	8.50359i	1.04164	+	0.305853i	0.757435	−	0.652911i	$-0.226452\pi$
$773$	28.9606	+	8.50359i	1.04164	+	0.305853i	0.284205	+	0.958764i	$0.408270\pi$
$774$	1.13440	+	7.88991i	0.0407751	+	0.283597i
$775$	−1.10567	−	1.27602i	−0.0397170	−	0.0458359i
$776$	−3.36438	−	7.36697i	−0.120774	−	0.264459i
$777$	7.72078	−	2.26703i	0.276981	−	0.0813291i
$778$	15.9371	−	34.8973i	0.571371	−	1.25113i
$779$	−1.13001	+	7.85943i	−0.0404870	+	0.281593i
$780$	−4.79803	+	3.08351i	−0.171797	+	0.110407i
$781$	−19.1073			−0.683713
$782$	3.92189	−	26.5341i	0.140247	−	0.948857i
$783$	−1.63463			−0.0584169
$784$	0.841254	−	0.540641i	0.0300448	−	0.0193086i
$785$	0.813450	−	5.65767i	0.0290333	−	0.201931i
$786$	3.75534	−	8.22305i	0.133949	−	0.293306i
$787$	33.1762	−	9.74140i	1.18260	−	0.347244i	0.369426	−	0.929260i	$-0.379554\pi$
$787$	33.1762	−	9.74140i	1.18260	−	0.347244i	0.813177	+	0.582017i	$0.197736\pi$
$788$	−5.41264	−	11.8520i	−0.192817	−	0.422211i
$789$	10.5957	+	12.2281i	0.377216	+	0.435331i
$790$	−2.46339	−	17.1333i	−0.0876435	−	0.609574i
$791$	−2.28407	−	0.670663i	−0.0812121	−	0.0238460i
$792$	1.71767	−	1.98229i	0.0610347	−	0.0704378i
$793$	−4.89663	−	3.14687i	−0.173885	−	0.111749i
$794$	−26.7572	−	17.1958i	−0.949577	−	0.610256i
$795$	12.0276	−	13.8806i	0.426574	−	0.492293i
$796$	−21.3059	−	6.25598i	−0.755168	−	0.221737i
$797$	0.562694	+	3.91362i	0.0199317	+	0.138628i	0.997357	−	0.0726516i	$-0.0231461\pi$
$797$	0.562694	+	3.91362i	0.0199317	+	0.138628i	−0.977426	+	0.211279i	$0.932237\pi$
$798$	−1.17538	−	1.35646i	−0.0416080	−	0.0480181i
$799$	−9.91896	−	21.7195i	−0.350907	−	0.768380i
$800$	−1.56454	+	0.459390i	−0.0553148	+	0.0162419i
$801$	0.686608	−	1.50346i	0.0242601	−	0.0531222i
$802$	5.21524	−	36.2728i	0.184156	−	1.28084i
$803$	−24.3645	+	15.6581i	−0.859804	+	0.552562i
$804$	13.2824			0.468433
$805$	1.28718	−	8.70859i	0.0453672	−	0.306938i
$806$	−3.21731			−0.113325
$807$	−2.88696	+	1.85534i	−0.101626	+	0.0653110i
$808$	1.49825	−	10.4205i	0.0527081	−	0.366593i
$809$	−19.4882	+	42.6731i	−0.685167	+	1.50031i	0.171907	+	0.985113i	$0.445007\pi$
$809$	−19.4882	+	42.6731i	−0.685167	+	1.50031i	−0.857074	+	0.515193i	$0.827720\pi$
$810$	1.76124	−	0.517147i	0.0618837	−	0.0181707i
$811$	18.5839	+	40.6931i	0.652569	+	1.42893i	0.889288	+	0.457348i	$0.151201\pi$
$811$	18.5839	+	40.6931i	0.652569	+	1.42893i	−0.236719	+	0.971578i	$0.576072\pi$
$812$	−1.07046	−	1.23537i	−0.0375656	−	0.0433530i
$813$	2.62254	+	18.2402i	0.0919764	+	0.639710i
$814$	20.2512	+	5.94630i	0.709805	+	0.208418i
$815$	−14.0365	+	16.1990i	−0.491679	+	0.567427i
$816$	4.70500	+	3.02372i	0.164708	+	0.105851i
$817$	12.0357	+	7.73487i	0.421075	+	0.270609i
$818$	15.9241	−	18.3773i	0.556772	−	0.642549i
$819$	−2.98127	−	0.875379i	−0.104174	−	0.0305882i
$820$	−1.15567	−	8.03783i	−0.0403576	−	0.280693i
$821$	−3.80351	−	4.38949i	−0.132744	−	0.153194i	0.685486	−	0.728086i	$-0.259590\pi$
$821$	−3.80351	−	4.38949i	−0.132744	−	0.153194i	−0.818230	+	0.574891i	$0.805044\pi$
$822$	−0.694147	−	1.51997i	−0.0242112	−	0.0530150i
$823$	42.0451	−	12.3456i	1.46560	−	0.430339i	0.550934	−	0.834549i	$-0.314272\pi$
$823$	42.0451	−	12.3456i	1.46560	−	0.430339i	0.914666	+	0.404210i	$0.132453\pi$
$824$	4.02282	−	8.80875i	0.140142	−	0.306868i
$825$	0.608675	−	4.23343i	0.0211913	−	0.147389i
$826$	7.29233	−	4.68650i	0.253733	−	0.163064i
$827$	25.8659			0.899446			0.449723	−	0.893168i	$-0.351523\pi$
$827$	25.8659			0.899446			0.449723	+	0.893168i	$0.351523\pi$
$828$	−4.59620	−	1.36928i	−0.159729	−	0.0475857i
$829$	36.3169			1.26134			0.630669	−	0.776052i	$-0.282780\pi$
$829$	36.3169			1.26134			0.630669	+	0.776052i	$0.282780\pi$
$830$	−13.5285	+	8.69423i	−0.469581	+	0.301781i
$831$	−2.78115	+	19.3433i	−0.0964770	+	0.671012i
$832$	−1.29075	+	2.82634i	−0.0447486	+	0.0979858i
$833$	−5.36630	+	1.57569i	−0.185931	+	0.0545943i
$834$	1.89640	+	4.15253i	0.0656668	+	0.143790i
$835$	16.7189	+	19.2947i	0.578583	+	0.667720i
$836$	−0.669992	−	4.65989i	−0.0231721	−	0.161166i
$837$	0.993517	+	0.291723i	0.0343410	+	0.0100834i
$838$	0.673838	−	0.777651i	0.0232774	−	0.0268635i
$839$	48.1022	+	30.9134i	1.66067	+	1.06725i	0.917154	+	0.398534i	$0.130481\pi$
$839$	48.1022	+	30.9134i	1.66067	+	1.06725i	0.743519	+	0.668715i	$0.233155\pi$
$840$	1.54420	+	0.992398i	0.0532800	+	0.0342410i
$841$	17.2412	−	19.8974i	0.594523	−	0.686116i
$842$	−23.0401	−	6.76518i	−0.794014	−	0.233144i
$843$	2.99163	+	20.8072i	0.103037	+	0.716639i
$844$	0.693075	+	0.799851i	0.0238566	+	0.0275320i
$845$	−2.55126	−	5.58647i	−0.0877659	−	0.192181i
$846$	−4.09631	+	1.20278i	−0.140834	+	0.0413526i
$847$	1.71156	−	3.74780i	0.0588100	−	0.128776i
$848$	1.42398	−	9.90397i	0.0488995	−	0.340104i
$849$	−10.5077	+	6.75291i	−0.360625	+	0.231759i
$850$	9.11964			0.312801
$851$	−5.34135	−	38.2193i	−0.183099	−	1.31014i
$852$	−7.28466			−0.249568
$853$	−11.8160	+	7.59367i	−0.404571	+	0.260002i	−0.727064	−	0.686570i	$-0.759116\pi$
$853$	−11.8160	+	7.59367i	−0.404571	+	0.260002i	0.322493	+	0.946572i	$0.395479\pi$
$854$	−0.266601	+	1.85425i	−0.00912290	+	0.0634512i
$855$	1.36864	−	2.99690i	0.0468064	−	0.102492i
$856$	−5.05355	+	1.48386i	−0.172727	+	0.0507172i
$857$	1.24192	+	2.71944i	0.0424233	+	0.0928942i	0.929657	−	0.368426i	$-0.120103\pi$
$857$	1.24192	+	2.71944i	0.0424233	+	0.0928942i	−0.887234	+	0.461320i	$0.847376\pi$
$858$	−5.33701	−	6.15924i	−0.182203	−	0.210273i
$859$	4.69560	+	32.6586i	0.160212	+	1.11430i	0.898233	+	0.439520i	$0.144851\pi$
$859$	4.69560	+	32.6586i	0.160212	+	1.11430i	−0.738021	+	0.674778i	$0.764239\pi$
$860$	−14.0389	−	4.12220i	−0.478723	−	0.140566i
$861$	2.89704	−	3.34336i	0.0987307	−	0.113941i
$862$	14.6590	+	9.42078i	0.499288	+	0.320873i
$863$	32.9946	+	21.2044i	1.12315	+	0.721805i	0.964119	−	0.265469i	$-0.0855268\pi$
$863$	32.9946	+	21.2044i	1.12315	+	0.721805i	0.159031	+	0.987274i	$0.449163\pi$
$864$	0.654861	−	0.755750i	0.0222788	−	0.0257111i
$865$	−42.8872	−	12.5928i	−1.45821	−	0.428168i
$866$	−4.73852	−	32.9571i	−0.161021	−	1.11993i
$867$	−9.35139	−	10.7921i	−0.317590	−	0.366518i
$868$	0.430146	+	0.941888i	0.0146001	+	0.0319698i
$869$	23.7322	−	6.96841i	0.805061	−	0.236387i
$870$	1.24646	−	2.72937i	0.0422590	−	0.0925343i
$871$	5.87333	−	40.8499i	0.199010	−	1.38415i
$872$	−15.2015	+	9.76944i	−0.514789	+	0.330835i
$873$	8.09885			0.274104
$874$	−7.25965	+	4.62514i	−0.245561	+	0.156448i
$875$	12.1711			0.411458
$876$	−9.28895	+	5.96965i	−0.313845	+	0.201696i
$877$	3.06552	−	21.3212i	0.103515	−	0.719965i	−0.870283	−	0.492552i	$-0.836064\pi$
$877$	3.06552	−	21.3212i	0.103515	−	0.719965i	0.973798	−	0.227413i	$-0.0730267\pi$
$878$	3.92866	−	8.60256i	0.132586	−	0.290322i
$879$	0.153733	−	0.0451402i	0.00518530	−	0.00152254i
$880$	2.00009	+	4.37958i	0.0674230	+	0.147636i
$881$	0.172907	+	0.199546i	0.00582539	+	0.00672286i	0.758655	−	0.651493i	$-0.225857\pi$
$881$	0.172907	+	0.199546i	0.00582539	+	0.00672286i	−0.752829	+	0.658216i	$0.771311\pi$
$882$	0.142315	+	0.989821i	0.00479199	+	0.0333290i
$883$	52.3369	+	15.3675i	1.76128	+	0.517157i	0.992488	−	0.122346i	$-0.0390417\pi$
$883$	52.3369	+	15.3675i	1.76128	+	0.517157i	0.768788	+	0.639503i	$0.220860\pi$
$884$	11.3800	−	13.1332i	0.382750	−	0.441717i
$885$	13.3858	+	8.60251i	0.449958	+	0.289170i
$886$	2.11729	+	1.36070i	0.0711319	+	0.0457137i
$887$	36.5740	−	42.2086i	1.22803	−	1.41723i	0.351292	−	0.936266i	$-0.385742\pi$
$887$	36.5740	−	42.2086i	1.22803	−	1.41723i	0.876742	−	0.480961i	$-0.159712\pi$
$888$	7.72078	+	2.26703i	0.259092	+	0.0760764i
$889$	2.34852	+	16.3343i	0.0787668	+	0.547835i
$890$	1.98679	+	2.29288i	0.0665974	+	0.0768575i
$891$	1.08961	+	2.38592i	0.0365034	+	0.0799313i
$892$	0.0825818	−	0.0242482i	0.00276504	−	0.000811890i
$893$	−3.18318	+	6.97020i	−0.106521	+	0.233249i
$894$	0.576649	−	4.01069i	0.0192860	−	0.134137i
$895$	−5.47359	+	3.51766i	−0.182962	+	0.117582i
$896$	1.00000			0.0334077
$897$	−6.24361	+	13.5301i	−0.208468	+	0.451758i
$898$	3.51624			0.117338
$899$	1.42390	−	0.915086i	0.0474898	−	0.0305198i
$900$	0.232057	−	1.61399i	0.00773524	−	0.0537998i
$901$	−23.2470	+	50.9039i	−0.774471	+	1.69585i
$902$	11.1336	−	3.26913i	0.370710	−	0.108850i
$903$	−3.31129	−	7.25071i	−0.110193	−	0.241289i
$904$	−1.55889	−	1.79906i	−0.0518480	−	0.0598357i
$905$	−0.0729235	−	0.507194i	−0.00242406	−	0.0168597i
$906$	7.38849	+	2.16946i	0.245466	+	0.0720754i
$907$	9.07070	−	10.4681i	0.301188	−	0.347589i	−0.584901	−	0.811105i	$-0.698867\pi$
$907$	9.07070	−	10.4681i	0.301188	−	0.347589i	0.886089	+	0.463516i	$0.153412\pi$
$908$	−6.71225	−	4.31370i	−0.222754	−	0.143155i
$909$	8.85645	+	5.69170i	0.293750	+	0.188782i
$910$	3.73495	−	4.31036i	0.123812	−	0.142887i
$911$	18.6033	+	5.46241i	0.616354	+	0.180978i	0.574982	−	0.818166i	$-0.305009\pi$
$911$	18.6033	+	5.46241i	0.616354	+	0.180978i	0.0413717	+	0.999144i	$0.486827\pi$
$912$	−0.255434	−	1.77658i	−0.00845827	−	0.0588286i
$913$	−15.0482	−	17.3665i	−0.498023	−	0.574749i
$914$	4.87517	+	10.6751i	0.161256	+	0.353102i
$915$	−3.29937	+	0.968781i	−0.109074	+	0.0320269i
$916$	8.41069	−	18.4168i	0.277897	−	0.608509i
$917$	−1.28652	+	8.94796i	−0.0424847	+	0.295488i
$918$	−4.70500	+	3.02372i	−0.155288	+	0.0997977i
$919$	−1.24937			−0.0412130			−0.0206065	−	0.999788i	$-0.506560\pi$
$919$	−1.24937			−0.0412130			−0.0206065	+	0.999788i	$0.506560\pi$
$920$	5.79107	−	6.63023i	0.190926	−	0.218592i
$921$	9.50098			0.313068
$922$	−0.183802	+	0.118122i	−0.00605319	+	0.00389015i
$923$	−3.22121	+	22.4040i	−0.106027	+	0.737436i
$924$	−1.08961	+	2.38592i	−0.0358457	+	0.0784910i
$925$	12.5894	−	3.69659i	0.413938	−	0.121543i
$926$	−4.24600	−	9.29745i	−0.139532	−	0.305533i
$927$	6.34158	+	7.31858i	0.208285	+	0.240374i
$928$	−0.232632	−	1.61799i	−0.00763652	−	0.0531132i
$929$	−9.95225	−	2.92225i	−0.326523	−	0.0958758i	0.114363	−	0.993439i	$-0.463517\pi$
$929$	−9.95225	−	2.92225i	−0.326523	−	0.0958758i	−0.440886	+	0.897563i	$0.645336\pi$
$930$	−1.24468	+	1.43644i	−0.0408148	+	0.0471028i
$931$	1.50993	+	0.970371i	0.0494858	+	0.0318026i
$932$	25.4481	+	16.3545i	0.833579	+	0.535708i
$933$	−0.913469	+	1.05420i	−0.0299056	+	0.0345130i
$934$	10.8053	+	3.17272i	0.353560	+	0.103815i
$935$	−3.83222	−	26.6537i	−0.125327	−	0.871668i
$936$	−2.03474	−	2.34821i	−0.0665074	−	0.0767536i
$937$	−14.2052	−	31.1050i	−0.464063	−	1.01616i	−0.986543	−	0.163505i	$-0.947720\pi$
$937$	−14.2052	−	31.1050i	−0.464063	−	1.01616i	0.522479	−	0.852652i	$-0.325007\pi$
$938$	−12.7443	+	3.74207i	−0.416117	+	0.122183i
$939$	3.96332	−	8.67845i	0.129338	−	0.283211i
$940$	1.11526	−	7.75683i	0.0363759	−	0.253000i
$941$	−15.2646	+	9.80993i	−0.497610	+	0.319795i	−0.765260	−	0.643722i	$-0.777389\pi$
$941$	−15.2646	+	9.80993i	−0.497610	+	0.319795i	0.267649	+	0.963516i	$0.413753\pi$
$942$	3.11389			0.101456
$943$	−13.8304	−	16.0889i	−0.450378	−	0.523925i
$944$	8.66841			0.282133
$945$	−1.54420	+	0.992398i	−0.0502329	+	0.0322827i
$946$	2.97547	−	20.6948i	0.0967408	−	0.672847i
$947$	−4.26067	+	9.32957i	−0.138453	+	0.303170i	−0.966139	−	0.258021i	$-0.916930\pi$
$947$	−4.26067	+	9.32957i	−0.138453	+	0.303170i	0.827686	+	0.561191i	$0.189657\pi$
$948$	9.04791	−	2.65671i	0.293862	−	0.0862858i
$949$	14.2522	+	31.2079i	0.462645	+	1.01305i
$950$	−1.91656	−	2.21183i	−0.0621815	−	0.0717612i
$951$	1.86420	+	12.9658i	0.0604507	+	0.420444i
$952$	−5.36630	−	1.57569i	−0.173923	−	0.0510683i
$953$	−16.0586	+	18.5326i	−0.520189	+	0.600330i	−0.953678	−	0.300829i	$-0.902737\pi$
$953$	−16.0586	+	18.5326i	−0.520189	+	0.600330i	0.433489	+	0.901159i	$0.357282\pi$
$954$	8.41742	+	5.40955i	0.272524	+	0.175141i
$955$	6.42552	+	4.12943i	0.207925	+	0.133625i
$956$	−5.95657	+	6.87425i	−0.192649	+	0.222329i
$957$	4.11388	+	1.20794i	0.132983	+	0.0390473i
$958$	0.290411	+	2.01985i	0.00938276	+	0.0652585i
$959$	1.09425	+	1.26284i	0.0353353	+	0.0407791i
$960$	0.762534	+	1.66972i	0.0246107	+	0.0538899i
$961$	28.7155	−	8.43164i	0.926308	−	0.271988i
$962$	10.3863	−	22.7428i	0.334867	−	0.733257i
$963$	0.749558	−	5.21329i	0.0241542	−	0.167996i
$964$	2.55441	−	1.64162i	0.0822719	−	0.0528729i
$965$	−34.5943			−1.11363
$966$	4.79579	+	0.0189135i	0.154302	+	0.000608531i
$967$	26.9002			0.865054			0.432527	−	0.901621i	$-0.357622\pi$
$967$	26.9002			0.865054			0.432527	+	0.901621i	$0.357622\pi$
$968$	3.46607	−	2.22751i	0.111404	−	0.0715948i
$969$	−1.42861	+	9.93617i	−0.0458934	+	0.319196i
$970$	−6.17565	+	13.5228i	−0.198288	+	0.434190i
$971$	4.43075	−	1.30099i	0.142190	−	0.0417506i	−0.209863	−	0.977731i	$-0.567302\pi$
$971$	4.43075	−	1.30099i	0.142190	−	0.0417506i	0.352053	+	0.935980i	$0.385484\pi$
$972$	0.415415	+	0.909632i	0.0133244	+	0.0291765i
$973$	−2.98948	−	3.45004i	−0.0958383	−	0.110603i
$974$	0.864282	+	6.01121i	0.0276934	+	0.192612i
$975$	−4.86122	−	1.42738i	−0.155684	−	0.0457129i
$976$	−1.22676	+	1.41576i	−0.0392677	+	0.0453174i
$977$	−6.53093	−	4.19718i	−0.208943	−	0.134280i	0.431984	−	0.901881i	$-0.357814\pi$
$977$	−6.53093	−	4.19718i	−0.208943	−	0.134280i	−0.640927	+	0.767602i	$0.721450\pi$
$978$	−9.82338	−	6.31311i	−0.314117	−	0.201871i
$979$	−2.83900	+	3.27638i	−0.0907349	+	0.104714i
$980$	−1.76124	−	0.517147i	−0.0562608	−	0.0165197i
$981$	−2.57164	−	17.8862i	−0.0821063	−	0.571062i
$982$	−4.53796	−	5.23709i	−0.144812	−	0.167122i
$983$	20.7014	+	45.3297i	0.660271	+	1.44579i	0.882269	+	0.470745i	$0.156015\pi$
$983$	20.7014	+	45.3297i	0.660271	+	1.44579i	−0.221998	+	0.975047i	$0.571258\pi$
$984$	4.24470	−	1.24636i	0.135316	−	0.0397324i
$985$	−9.93542	+	21.7555i	−0.316569	+	0.693189i
$986$	−1.30108	+	9.04919i	−0.0414347	+	0.288185i
$987$	3.59151	−	2.30813i	0.114319	−	0.0734685i
$988$	−5.57684			−0.177423
$989$	−36.7215	+	10.6253i	−1.16767	+	0.337864i
$990$	−4.81468			−0.153020
$991$	−0.325244	+	0.209021i	−0.0103317	+	0.00663978i	−0.545796	−	0.837918i	$-0.683773\pi$
$991$	−0.325244	+	0.209021i	−0.0103317	+	0.00663978i	0.535465	+	0.844558i	$0.320136\pi$
$992$	−0.147361	+	1.02492i	−0.00467873	+	0.0325413i
$993$	0.332078	−	0.727150i	0.0105382	−	0.0230754i
$994$	6.98958	−	2.05233i	0.221696	−	0.0650958i
$995$	16.9323	+	37.0767i	0.536792	+	1.17541i
$996$	−5.73712	−	6.62099i	−0.181788	−	0.209794i
$997$	−5.58424	−	38.8392i	−0.176855	−	1.23005i	−0.863985	−	0.503517i	$-0.832039\pi$
$997$	−5.58424	−	38.8392i	−0.176855	−	1.23005i	0.687131	−	0.726534i	$-0.258870\pi$
$998$	33.5128	+	9.84023i	1.06083	+	0.311487i
$999$	−5.26949	+	6.08131i	−0.166719	+	0.192404i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.127.1	✓	30
23.2	even	11	inner	966.2.q.f.715.1	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.127.1	✓	30	1.1	even	1	trivial
966.2.q.f.715.1	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)

\(f(q)\)	\(=\)	\(q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.76124 + 0.517147i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\)	\(q+(-0.841254 + 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.76124 + 0.517147i) 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} +(1.20206 - 1.38725i) q^{10} +(2.20657 + 1.41807i) q^{11} +(0.841254 + 0.540641i) q^{12} +(2.03474 - 2.34821i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(-0.261232 - 1.81691i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.32335 + 5.08743i) q^{17} +(0.959493 - 0.281733i) q^{18} +(0.745609 - 1.63266i) q^{19} +(-0.261232 + 1.81691i) q^{20} +(-0.841254 + 0.540641i) q^{21} -2.62295 q^{22} +(1.97504 + 4.37026i) q^{23} -1.00000 q^{24} +(-1.37174 + 0.881564i) q^{25} +(-0.442190 + 3.07550i) q^{26} +(0.415415 - 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(-0.679050 - 1.48691i) q^{29} +(1.20206 + 1.38725i) q^{30} +(0.147361 + 1.02492i) q^{31} +(0.959493 + 0.281733i) q^{32} +(-1.71767 + 1.98229i) q^{33} +(-4.70500 - 3.02372i) q^{34} +(-1.54420 - 0.992398i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-7.72078 - 2.26703i) q^{37} +(0.255434 + 1.77658i) q^{38} +(2.03474 + 2.34821i) q^{39} +(-0.762534 - 1.66972i) q^{40} +(-4.24470 + 1.24636i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-1.13440 + 7.88991i) q^{43} +(2.20657 - 1.41807i) q^{44} +1.83560 q^{45} +(-4.02425 - 2.60871i) q^{46} -4.26924 q^{47} +(0.841254 - 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(0.677372 - 1.48324i) q^{50} +(-5.36630 + 1.57569i) q^{51} +(-1.29075 - 2.82634i) q^{52} +(6.55241 + 7.56189i) q^{53} +(0.142315 + 0.989821i) q^{54} +(-4.61965 - 1.35645i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(1.50993 + 0.970371i) q^{57} +(1.37514 + 0.883748i) q^{58} +(-5.67660 + 6.55115i) q^{59} +(-1.76124 - 0.517147i) q^{60} +(-0.266601 - 1.85425i) q^{61} +(-0.678082 - 0.782549i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-2.36929 + 5.18802i) q^{65} +(0.373285 - 2.59625i) q^{66} +(11.1738 - 7.18098i) q^{67} +5.59285 q^{68} +(-4.60686 + 1.33298i) q^{69} +1.83560 q^{70} +(-6.12825 + 3.93838i) q^{71} +(0.142315 - 0.989821i) q^{72} +(-4.58693 + 10.0440i) q^{73} +(7.72078 - 2.26703i) q^{74} +(-0.677372 - 1.48324i) q^{75} +(-1.17538 - 1.35646i) q^{76} +(0.373285 + 2.59625i) q^{77} +(-2.98127 - 0.875379i) q^{78} +(6.17526 - 7.12663i) q^{79} +(1.54420 + 0.992398i) q^{80} +(0.841254 + 0.540641i) q^{81} +(2.89704 - 3.34336i) q^{82} +(-8.40596 - 2.46821i) q^{83} +(0.142315 + 0.989821i) q^{84} +(-6.72294 - 7.75868i) q^{85} +(-3.31129 - 7.25071i) q^{86} +(1.56842 - 0.460529i) q^{87} +(-1.08961 + 2.38592i) q^{88} +(-0.235221 + 1.63600i) q^{89} +(-1.54420 + 0.992398i) q^{90} +3.10713 q^{91} +(4.79579 + 0.0189135i) q^{92} -1.03546 q^{93} +(3.59151 - 2.30813i) q^{94} +(-0.468874 + 3.26109i) q^{95} +(-0.415415 + 0.909632i) q^{96} +(-7.77079 + 2.28171i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(-1.71767 - 1.98229i) 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

Introduction

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