LMFDB - Embedded newform 588.2.x.b.55.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.20
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.761615 - 1.19161i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.839884 - 1.81510i) q^{4} +(-1.00022 + 2.07699i) q^{5} +(1.20321 - 0.743154i) q^{6} +(-0.0377719 + 2.64548i) q^{7} +(-2.80257 - 0.381593i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(0.761615 - 1.19161i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.839884 - 1.81510i) q^{4} +(-1.00022 + 2.07699i) q^{5} +(1.20321 - 0.743154i) q^{6} +(-0.0377719 + 2.64548i) q^{7} +(-2.80257 - 0.381593i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.71318 + 2.77375i) q^{10} +(4.29047 + 3.42154i) q^{11} +(0.0308341 - 1.99976i) q^{12} +(2.35569 + 1.87860i) q^{13} +(3.12362 + 2.05985i) q^{14} +(-1.80234 + 1.43732i) q^{15} +(-2.58919 + 3.04895i) q^{16} +(-6.03506 - 1.37746i) q^{17} +(1.40650 - 0.147504i) q^{18} -0.661904 q^{19} +(4.61002 + 0.0710814i) q^{20} +(-1.18186 + 2.36711i) q^{21} +(7.34484 - 2.50669i) q^{22} +(2.93828 - 0.670643i) q^{23} +(-2.35946 - 1.55979i) q^{24} +(-0.195980 - 0.245751i) q^{25} +(4.03269 - 1.37630i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.83354 - 2.15334i) q^{28} +(1.91004 - 8.36842i) q^{29} +(0.340038 + 3.24238i) q^{30} +6.10971 q^{31} +(1.66120 + 5.40744i) q^{32} +(2.38103 + 4.94427i) q^{33} +(-6.23780 + 6.14236i) q^{34} +(-5.45685 - 2.72453i) q^{35} +(0.895445 - 1.78835i) q^{36} +(0.683544 - 2.99480i) q^{37} +(-0.504116 + 0.788733i) q^{38} +(1.30731 + 2.71465i) q^{39} +(3.59576 - 5.43922i) q^{40} +(-1.63056 + 3.38590i) q^{41} +(1.92055 + 3.21115i) q^{42} +(-1.84871 - 3.83889i) q^{43} +(2.60694 - 10.6613i) q^{44} +(-2.24748 + 0.512974i) q^{45} +(1.43869 - 4.01206i) q^{46} +(-3.94249 + 4.94373i) q^{47} +(-3.65567 + 1.62360i) q^{48} +(-6.99715 - 0.199850i) q^{49} +(-0.442101 + 0.0463644i) q^{50} +(-4.83974 - 3.85957i) q^{51} +(1.43134 - 5.85362i) q^{52} +(-1.23232 - 5.39913i) q^{53} +(1.33121 + 0.477361i) q^{54} +(-11.3979 + 5.48895i) q^{55} +(1.11536 - 7.39973i) q^{56} +(-0.596355 - 0.287189i) q^{57} +(-8.51721 - 8.64954i) q^{58} +(-11.5674 + 5.57055i) q^{59} +(4.12264 + 2.06425i) q^{60} +(13.5918 + 3.10223i) q^{61} +(4.65325 - 7.28041i) q^{62} +(-2.09187 + 1.61990i) q^{63} +(7.70877 + 2.13888i) q^{64} +(-6.25804 + 3.01371i) q^{65} +(7.70509 + 0.928359i) q^{66} -4.63068i q^{67} +(2.56851 + 12.1112i) q^{68} +(2.93828 + 0.670643i) q^{69} +(-7.40261 + 4.42741i) q^{70} +(8.42628 - 1.92324i) q^{71} +(-1.44903 - 2.42906i) q^{72} +(6.79302 - 5.41726i) q^{73} +(-3.04805 - 3.09541i) q^{74} +(-0.0699444 - 0.306446i) q^{75} +(0.555922 + 1.20142i) q^{76} +(-9.21368 + 11.2211i) q^{77} +(4.23048 + 0.509716i) q^{78} +7.80719i q^{79} +(-3.74286 - 8.42735i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(2.79282 + 4.52175i) q^{82} +(-4.75993 - 5.96877i) q^{83} +(5.28917 + 0.157106i) q^{84} +(8.89739 - 11.1570i) q^{85} +(-5.98248 - 0.720809i) q^{86} +(5.35181 - 6.71095i) q^{87} +(-10.7187 - 11.2263i) q^{88} +(-1.28694 + 1.02630i) q^{89} +(-1.10045 + 3.06882i) q^{90} +(-5.05878 + 6.16097i) q^{91} +(-3.68510 - 4.77001i) q^{92} +(5.50466 + 2.65090i) q^{93} +(2.88835 + 8.46314i) q^{94} +(0.662053 - 1.37477i) q^{95} +(-0.849511 + 5.59270i) q^{96} -12.3477i q^{97} +(-5.56728 + 8.18568i) q^{98} +5.48772i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	0.761615	−	1.19161i	0.538543	−	0.842598i
$2$	0.761615	−	1.19161i	0.538543	−	0.842598i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	−0.839884	−	1.81510i	−0.419942	−	0.907551i
$5$	−1.00022	+	2.07699i	−0.447314	+	0.928857i	0.548386	+	0.836225i	$0.315242\pi$
$5$	−1.00022	+	2.07699i	−0.447314	+	0.928857i	−0.995700	+	0.0926321i	$0.970472\pi$
$6$	1.20321	−	0.743154i	0.491210	−	0.303391i
$7$	−0.0377719	+	2.64548i	−0.0142764	+	0.999898i
$7$	−0.0377719	+	2.64548i	−0.0142764	+	0.999898i
$8$	−2.80257	−	0.381593i	−0.990857	−	0.134914i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	1.71318	+	2.77375i	0.541755	+	0.877136i
$11$	4.29047	+	3.42154i	1.29363	+	1.03163i	0.997060	+	0.0766206i	$0.0244130\pi$
$11$	4.29047	+	3.42154i	1.29363	+	1.03163i	0.296566	+	0.955012i	$0.404158\pi$
$12$	0.0308341	−	1.99976i	0.00890105	−	0.577282i
$13$	2.35569	+	1.87860i	0.653350	+	0.521029i	0.893130	−	0.449798i	$-0.148504\pi$
$13$	2.35569	+	1.87860i	0.653350	+	0.521029i	−0.239780	+	0.970827i	$0.577075\pi$
$14$	3.12362	+	2.05985i	0.834823	+	0.550518i
$15$	−1.80234	+	1.43732i	−0.465363	+	0.371114i
$16$	−2.58919	+	3.04895i	−0.647298	+	0.762237i
$17$	−6.03506	−	1.37746i	−1.46372	−	0.334084i	−0.584847	−	0.811144i	$-0.698845\pi$
$17$	−6.03506	−	1.37746i	−1.46372	−	0.334084i	−0.878871	+	0.477060i	$0.841703\pi$
$18$	1.40650	−	0.147504i	0.331515	−	0.0347670i
$19$	−0.661904			−0.151851			−0.0759256	−	0.997113i	$-0.524191\pi$
$19$	−0.661904			−0.151851			−0.0759256	+	0.997113i	$0.524191\pi$
$20$	4.61002	+	0.0710814i	1.03083	+	0.0158943i
$21$	−1.18186	+	2.36711i	−0.257904	+	0.516545i
$22$	7.34484	−	2.50669i	1.56593	−	0.534428i
$23$	2.93828	−	0.670643i	0.612673	−	0.139839i	0.0950860	−	0.995469i	$-0.469687\pi$
$23$	2.93828	−	0.670643i	0.612673	−	0.139839i	0.517587	+	0.855630i	$0.326830\pi$
$24$	−2.35946	−	1.55979i	−0.481623	−	0.318391i
$25$	−0.195980	−	0.245751i	−0.0391960	−	0.0491502i
$26$	4.03269	−	1.37630i	0.790876	−	0.269914i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	4.83354	−	2.15334i	0.913454	−	0.406942i
$29$	1.91004	−	8.36842i	0.354685	−	1.55398i	−0.411532	−	0.911395i	$-0.635006\pi$
$29$	1.91004	−	8.36842i	0.354685	−	1.55398i	0.766217	−	0.642581i	$-0.222137\pi$
$30$	0.340038	+	3.24238i	0.0620821	+	0.591975i
$31$	6.10971			1.09734			0.548668	−	0.836040i	$-0.315135\pi$
$31$	6.10971			1.09734			0.548668	+	0.836040i	$0.315135\pi$
$32$	1.66120	+	5.40744i	0.293662	+	0.955909i
$33$	2.38103	+	4.94427i	0.414485	+	0.860686i
$34$	−6.23780	+	6.14236i	−1.06977	+	1.05341i
$35$	−5.45685	−	2.72453i	−0.922376	−	0.460529i
$36$	0.895445	−	1.78835i	0.149241	−	0.298058i
$37$	0.683544	−	2.99480i	0.112374	−	0.492342i	−0.887150	−	0.461482i	$-0.847318\pi$
$37$	0.683544	−	2.99480i	0.112374	−	0.492342i	0.999524	−	0.0308607i	$-0.00982484\pi$
$38$	−0.504116	+	0.788733i	−0.0817785	+	0.127949i
$39$	1.30731	+	2.71465i	0.209337	+	0.434692i
$40$	3.59576	−	5.43922i	0.568540	−	0.860016i
$41$	−1.63056	+	3.38590i	−0.254651	+	0.528789i	−0.988627	−	0.150387i	$-0.951948\pi$
$41$	−1.63056	+	3.38590i	−0.254651	+	0.528789i	0.733976	+	0.679175i	$0.237662\pi$
$42$	1.92055	+	3.21115i	0.296348	+	0.495491i
$43$	−1.84871	−	3.83889i	−0.281926	−	0.585425i	0.711131	−	0.703059i	$-0.248183\pi$
$43$	−1.84871	−	3.83889i	−0.281926	−	0.585425i	−0.993057	+	0.117634i	$0.962469\pi$
$44$	2.60694	−	10.6613i	0.393011	−	1.60726i
$45$	−2.24748	+	0.512974i	−0.335035	+	0.0764696i
$46$	1.43869	−	4.01206i	0.212123	−	0.591546i
$47$	−3.94249	+	4.94373i	−0.575071	+	0.721117i	−0.981263	−	0.192671i	$-0.938285\pi$
$47$	−3.94249	+	4.94373i	−0.575071	+	0.721117i	0.406192	+	0.913788i	$0.366856\pi$
$48$	−3.65567	+	1.62360i	−0.527650	+	0.234347i
$49$	−6.99715	−	0.199850i	−0.999592	−	0.0285500i
$50$	−0.442101	+	0.0463644i	−0.0625226	+	0.00655692i
$51$	−4.83974	−	3.85957i	−0.677700	−	0.540448i
$52$	1.43134	−	5.85362i	0.198492	−	0.811751i
$53$	−1.23232	−	5.39913i	−0.169272	−	0.741627i	−0.986291	−	0.165017i	$-0.947232\pi$
$53$	−1.23232	−	5.39913i	−0.169272	−	0.741627i	0.817019	−	0.576610i	$-0.195625\pi$
$54$	1.33121	+	0.477361i	0.181155	+	0.0649606i
$55$	−11.3979	+	5.48895i	−1.53690	+	0.740131i
$56$	1.11536	−	7.39973i	0.149046	−	0.988830i
$57$	−0.596355	−	0.287189i	−0.0789891	−	0.0380392i
$58$	−8.51721	−	8.64954i	−1.11836	−	1.13574i
$59$	−11.5674	+	5.57055i	−1.50594	+	0.725224i	−0.991231	−	0.132140i	$-0.957815\pi$
$59$	−11.5674	+	5.57055i	−1.50594	+	0.725224i	−0.514711	+	0.857364i	$0.672101\pi$
$60$	4.12264	+	2.06425i	0.532231	+	0.266494i
$61$	13.5918	+	3.10223i	1.74025	+	0.397200i	0.970491	−	0.241137i	$-0.0775203\pi$
$61$	13.5918	+	3.10223i	1.74025	+	0.397200i	0.769757	+	0.638337i	$0.220377\pi$
$62$	4.65325	−	7.28041i	0.590963	−	0.924613i
$63$	−2.09187	+	1.61990i	−0.263551	+	0.204088i
$64$	7.70877	+	2.13888i	0.963597	+	0.267360i
$65$	−6.25804	+	3.01371i	−0.776215	+	0.373805i
$66$	7.70509	+	0.928359i	0.948430	+	0.114273i
$67$		−	4.63068i		−	0.565727i	−0.959160	−	0.282864i	$-0.908716\pi$
$67$		−	4.63068i		−	0.565727i	0.959160	−	0.282864i	$-0.0912843\pi$
$68$	2.56851	+	12.1112i	0.311478	+	1.46869i
$69$	2.93828	+	0.670643i	0.353727	+	0.0807359i
$70$	−7.40261	+	4.42741i	−0.884781	+	0.529177i
$71$	8.42628	−	1.92324i	1.00002	−	0.228247i	0.308981	−	0.951068i	$-0.400012\pi$
$71$	8.42628	−	1.92324i	1.00002	−	0.228247i	0.691035	+	0.722821i	$0.257155\pi$
$72$	−1.44903	−	2.42906i	−0.170770	−	0.286267i
$73$	6.79302	−	5.41726i	0.795063	−	0.634042i	−0.139346	−	0.990244i	$-0.544500\pi$
$73$	6.79302	−	5.41726i	0.795063	−	0.634042i	0.934409	+	0.356202i	$0.115928\pi$
$74$	−3.04805	−	3.09541i	−0.354328	−	0.359834i
$75$	−0.0699444	−	0.306446i	−0.00807648	−	0.0353854i
$76$	0.555922	+	1.20142i	0.0637687	+	0.137813i
$77$	−9.21368	+	11.2211i	−1.05000	+	1.27877i
$78$	4.23048	+	0.509716i	0.479008	+	0.0577140i
$79$			7.80719i			0.878377i	0.898395	+	0.439189i	$0.144734\pi$
$79$			7.80719i			0.878377i	−0.898395	+	0.439189i	$0.855266\pi$
$80$	−3.74286	−	8.42735i	−0.418464	−	0.942206i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	2.79282	+	4.52175i	0.308415	+	0.499344i
$83$	−4.75993	−	5.96877i	−0.522470	−	0.655157i	0.448661	−	0.893702i	$-0.351901\pi$
$83$	−4.75993	−	5.96877i	−0.522470	−	0.655157i	−0.971131	+	0.238545i	$0.923330\pi$
$84$	5.28917	+	0.157106i	0.577096	+	0.0171417i
$85$	8.89739	−	11.1570i	0.965058	−	1.21014i
$86$	−5.98248	−	0.720809i	−0.645107	−	0.0777268i
$87$	5.35181	−	6.71095i	0.573774	−	0.719490i
$88$	−10.7187	−	11.2263i	−1.14262	−	1.19673i
$89$	−1.28694	+	1.02630i	−0.136416	+	0.108788i	−0.689320	−	0.724457i	$-0.742091\pi$
$89$	−1.28694	+	1.02630i	−0.136416	+	0.108788i	0.552905	+	0.833244i	$0.313519\pi$
$90$	−1.10045	+	3.06882i	−0.115998	+	0.323482i
$91$	−5.05878	+	6.16097i	−0.530304	+	0.645845i
$92$	−3.68510	−	4.77001i	−0.384198	−	0.497308i
$93$	5.50466	+	2.65090i	0.570806	+	0.274886i
$94$	2.88835	+	8.46314i	0.297910	+	0.872906i
$95$	0.662053	−	1.37477i	0.0679252	−	0.141048i
$96$	−0.849511	+	5.59270i	−0.0867028	+	0.570803i
$97$		−	12.3477i		−	1.25372i	−0.779131	−	0.626861i	$-0.784339\pi$
$97$		−	12.3477i		−	1.25372i	0.779131	−	0.626861i	$-0.215661\pi$
$98$	−5.56728	+	8.18568i	−0.562380	+	0.826879i
$99$			5.48772i			0.551537i
$100$	−0.281463	+	0.562126i	−0.0281463	+	0.0562126i
$101$	1.16888	−	2.42719i	0.116307	−	0.241515i	−0.834686	−	0.550726i	$-0.814351\pi$
$101$	1.16888	−	2.42719i	0.116307	−	0.241515i	0.950993	+	0.309211i	$0.100065\pi$
$102$	−8.28514	+	2.82760i	−0.820351	+	0.279974i
$103$	4.49891	+	2.16656i	0.443291	+	0.213478i	0.642195	−	0.766541i	$-0.278024\pi$
$103$	4.49891	+	2.16656i	0.443291	+	0.213478i	−0.198904	+	0.980019i	$0.563738\pi$
$104$	−5.88511	−	6.16381i	−0.577083	−	0.604412i
$105$	−3.73433	−	4.82235i	−0.364433	−	0.470614i
$106$	−7.37222	−	2.64362i	−0.716053	−	0.256771i
$107$	−11.5486	+	9.20970i	−1.11645	+	0.890335i	−0.994760	−	0.102233i	$-0.967401\pi$
$107$	−11.5486	+	9.20970i	−1.11645	+	0.890335i	−0.121685	+	0.992569i	$0.538830\pi$
$108$	1.58270	−	1.22272i	0.152296	−	0.117657i
$109$	7.76829	−	9.74113i	0.744067	−	0.933031i	−0.255361	−	0.966846i	$-0.582194\pi$
$109$	7.76829	−	9.74113i	0.744067	−	0.933031i	0.999428	+	0.0338149i	$0.0107657\pi$
$110$	−2.14013	+	17.7624i	−0.204053	+	1.69358i
$111$	1.91525	−	2.40164i	0.181787	−	0.227954i
$112$	−7.96814	−	6.96482i	−0.752919	−	0.658114i
$113$	−9.77742	−	12.2605i	−0.919782	−	1.15337i	−0.987806	−	0.155687i	$-0.950241\pi$
$113$	−9.77742	−	12.2605i	−0.919782	−	1.15337i	0.0680242	−	0.997684i	$-0.478330\pi$
$114$	−0.796412	+	0.491896i	−0.0745908	+	0.0460703i
$115$	−1.54602	+	6.77356i	−0.144167	+	0.631638i
$116$	−16.7937	+	3.56159i	−1.55926	+	0.330685i
$117$			3.01304i			0.278555i
$118$	−2.17194	+	18.0264i	−0.199944	+	1.65947i
$119$	3.87201	−	15.9136i	0.354947	−	1.45880i
$120$	5.59966	−	3.34043i	0.511177	−	0.304938i
$121$	4.25351	+	18.6358i	0.386683	+	1.69417i
$122$	14.0484	−	13.8334i	1.27188	−	1.25242i
$123$	−2.93817	+	2.34312i	−0.264926	+	0.211272i
$124$	−5.13145	−	11.0897i	−0.460817	−	0.995889i
$125$	−10.5310	+	2.40363i	−0.941919	+	0.214987i
$126$	0.337092	+	3.72644i	0.0300305	+	0.331978i
$127$	−3.90843	−	0.892074i	−0.346817	−	0.0791588i	0.0455640	−	0.998961i	$-0.485492\pi$
$127$	−3.90843	−	0.892074i	−0.346817	−	0.0791588i	−0.392381	+	0.919803i	$0.628349\pi$
$128$	8.41984	−	7.55687i	0.744216	−	0.667939i
$129$		−	4.26085i		−	0.375147i
$130$	−1.17504	+	9.75246i	−0.103058	+	0.855347i
$131$	4.38448	−	2.11145i	0.383074	−	0.184479i	−0.232429	−	0.972613i	$-0.574667\pi$
$131$	4.38448	−	2.11145i	0.383074	−	0.184479i	0.615503	+	0.788135i	$0.288953\pi$
$132$	6.97456	−	8.47443i	0.607057	−	0.737604i
$133$	0.0250014	−	1.75105i	0.00216790	−	0.151836i
$134$	−5.51797	−	3.52679i	−0.476680	−	0.304669i
$135$	−2.24748	−	0.512974i	−0.193433	−	0.0441497i
$136$	16.3880	+	6.16337i	1.40526	+	0.528505i
$137$	12.8456	−	6.18611i	1.09747	−	0.528515i	0.204610	−	0.978844i	$-0.434407\pi$
$137$	12.8456	−	6.18611i	1.09747	−	0.528515i	0.892863	+	0.450329i	$0.148693\pi$
$138$	3.03699	−	2.99052i	0.258525	−	0.254570i
$139$	10.5294	+	5.07068i	0.893091	+	0.430090i	0.823389	−	0.567478i	$-0.192081\pi$
$139$	10.5294	+	5.07068i	0.893091	+	0.430090i	0.0697021	+	0.997568i	$0.477795\pi$
$140$	−0.362174	+	12.1930i	−0.0306093	+	1.03050i
$141$	−5.69706	+	2.74356i	−0.479779	+	0.231050i
$142$	4.12582	−	11.5056i	0.346231	−	0.965532i
$143$	3.67932	+	16.1202i	0.307680	+	1.34803i
$144$	−3.99810	−	0.123322i	−0.333175	−	0.0102768i
$145$	15.4706	+	12.3374i	1.28477	+	1.02457i
$146$	−1.28160	−	12.2205i	−0.106066	−	1.01138i
$147$	−6.21750	−	3.21601i	−0.512811	−	0.265252i
$148$	−6.00997	+	1.27458i	−0.494016	+	0.104770i
$149$	−10.1658	+	12.7475i	−0.832817	+	1.04432i	0.165493	+	0.986211i	$0.447078\pi$
$149$	−10.1658	+	12.7475i	−0.832817	+	1.04432i	−0.998310	+	0.0581084i	$0.981493\pi$
$150$	−0.418436	−	0.150048i	−0.0341652	−	0.0122513i
$151$	13.3159	−	3.03927i	1.08363	−	0.247332i	0.356824	−	0.934172i	$-0.383859\pi$
$151$	13.3159	−	3.03927i	1.08363	−	0.247332i	0.726809	+	0.686839i	$0.241002\pi$
$152$	1.85503	+	0.252578i	0.150463	+	0.0204868i
$153$	−2.68586	−	5.57724i	−0.217139	−	0.450893i
$154$	6.35397	+	19.5253i	0.512017	+	1.57340i
$155$	−6.11108	+	12.6898i	−0.490854	+	1.01927i
$156$	3.82939	−	4.65289i	0.306596	−	0.372529i
$157$	−0.255906	−	0.531394i	−0.0204235	−	0.0424099i	0.890508	−	0.454968i	$-0.150349\pi$
$157$	−0.255906	−	0.531394i	−0.0204235	−	0.0424099i	−0.910931	+	0.412559i	$0.864635\pi$
$158$	9.30315	+	5.94607i	0.740119	+	0.473044i
$159$	1.23232	−	5.39913i	0.0977290	−	0.428179i
$160$	−12.8928	−	1.95836i	−1.01926	−	0.154822i
$161$	1.66319	+	7.79849i	0.131078	+	0.614607i
$162$	0.992262	+	1.00768i	0.0779594	+	0.0791707i
$163$	2.35534	+	4.89092i	0.184485	+	0.383086i	0.972615	−	0.232422i	$-0.0746650\pi$
$163$	2.35534	+	4.89092i	0.184485	+	0.383086i	−0.788130	+	0.615508i	$0.788951\pi$
$164$	7.51524	+	0.115877i	0.586841	+	0.00904845i
$165$	−12.6508			−0.984860
$166$	−10.7377	+	1.12609i	−0.833407	+	0.0874018i
$167$	5.57626	−	24.4312i	0.431504	−	1.89054i	−0.0228828	−	0.999738i	$-0.507284\pi$
$167$	5.57626	−	24.4312i	0.431504	−	1.89054i	0.454387	−	0.890804i	$-0.349858\pi$
$168$	4.21552	−	6.18299i	0.325235	−	0.477028i
$169$	−0.872639	−	3.82328i	−0.0671261	−	0.294099i
$170$	−6.51841	−	19.0996i	−0.499939	−	1.46487i
$171$	−0.412690	−	0.517497i	−0.0315592	−	0.0395740i
$172$	−5.41527	+	6.57982i	−0.412911	+	0.501707i
$173$	0.923958	−	0.210887i	0.0702472	−	0.0160335i	−0.187253	−	0.982312i	$-0.559958\pi$
$173$	0.923958	−	0.210887i	0.0702472	−	0.0160335i	0.257500	+	0.966278i	$0.417101\pi$
$174$	−3.92084	−	11.4884i	−0.297238	−	0.870937i
$175$	0.657532	−	0.509179i	0.0497048	−	0.0384903i
$176$	−21.5410	+	4.22242i	−1.62371	+	0.318277i
$177$	−12.8388			−0.965023
$178$	0.242800	+	2.31518i	0.0181986	+	0.173530i
$179$	−15.1446	−	3.45667i	−1.13196	−	0.258363i	−0.384798	−	0.923001i	$-0.625729\pi$
$179$	−15.1446	−	3.45667i	−1.13196	−	0.258363i	−0.747166	+	0.664638i	$0.768586\pi$
$180$	2.81872	+	3.64857i	0.210095	+	0.271949i
$181$	−16.5778	+	13.2204i	−1.23222	+	0.982663i	−0.232271	+	0.972651i	$0.574616\pi$
$181$	−16.5778	+	13.2204i	−1.23222	+	0.982663i	−0.999950	+	0.0100122i	$0.996813\pi$
$182$	3.48865	+	10.7204i	0.258596	+	0.794648i
$183$	10.8998	+	8.69226i	0.805733	+	0.642551i
$184$	−8.49064	+	0.758295i	−0.625938	+	0.0559022i
$185$	5.53647	+	4.41519i	0.407049	+	0.324611i
$186$	7.35128	−	4.54045i	0.539022	−	0.332922i
$187$	−21.1802	−	26.5592i	−1.54885	−	1.94220i
$188$	12.2846	+	3.00387i	0.895947	+	0.219079i
$189$	−2.58756	+	0.551850i	−0.188217	+	0.0401412i
$190$	−1.13396	−	1.83595i	−0.0822661	−	0.133194i
$191$	7.74081	−	16.0740i	0.560106	−	1.16307i	−0.408105	−	0.912935i	$-0.633810\pi$
$191$	7.74081	−	16.0740i	0.560106	−	1.16307i	0.968211	−	0.250136i	$-0.0804754\pi$
$192$	6.01734	+	5.27178i	0.434264	+	0.380458i
$193$	1.35546	+	0.652757i	0.0975684	+	0.0469865i	0.482031	−	0.876154i	$-0.339899\pi$
$193$	1.35546	+	0.652757i	0.0975684	+	0.0469865i	−0.384463	+	0.923140i	$0.625613\pi$
$194$	−14.7137	−	9.40422i	−1.05638	−	0.675184i
$195$	−6.94590			−0.497406
$196$	5.51404	+	12.8684i	0.393860	+	0.919170i
$197$	20.6882			1.47398			0.736988	−	0.675906i	$-0.236247\pi$
$197$	20.6882			1.47398			0.736988	+	0.675906i	$0.236247\pi$
$198$	6.53924	+	4.17953i	0.464724	+	0.297027i
$199$	−6.88347	−	3.31491i	−0.487956	−	0.234987i	0.173694	−	0.984800i	$-0.444430\pi$
$199$	−6.88347	−	3.31491i	−0.487956	−	0.234987i	−0.661651	+	0.749812i	$0.730144\pi$
$200$	0.455470	+	0.763518i	0.0322066	+	0.0539889i
$201$	2.00917	−	4.17209i	0.141716	−	0.294277i
$202$	−2.00204	−	3.24144i	−0.140863	−	0.228067i
$203$	22.0664	+	5.36906i	1.54875	+	0.376834i
$204$	−2.94069	+	12.0262i	−0.205889	+	0.842004i
$205$	−5.40154	−	6.77332i	−0.377260	−	0.473069i
$206$	6.00814	−	3.71087i	0.418607	−	0.258549i
$207$	2.35632	+	1.87910i	0.163775	+	0.130606i
$208$	−11.8271	+	2.31832i	−0.820060	+	0.160747i
$209$	−2.83988	−	2.26473i	−0.196439	−	0.156655i
$210$	−8.59050	+	0.777092i	−0.592801	+	0.0536245i
$211$	−4.52027	+	3.60480i	−0.311189	+	0.248165i	−0.766612	−	0.642110i	$-0.778059\pi$
$211$	−4.52027	+	3.60480i	−0.311189	+	0.248165i	0.455424	+	0.890275i	$0.349488\pi$
$212$	−8.76497	+	6.77142i	−0.601980	+	0.465063i
$213$	8.42628	+	1.92324i	0.577359	+	0.131779i
$214$	2.17881	+	20.7757i	0.148940	+	1.42020i
$215$	9.82245			0.669886
$216$	−0.251604	−	2.81721i	−0.0171195	−	0.191687i
$217$	−0.230775	+	16.1631i	−0.0156661	+	1.09722i
$218$	−5.69121	−	16.6758i	−0.385457	−	1.12943i
$219$	8.47076	−	1.93340i	0.572401	−	0.130647i
$220$	19.5360	+	16.0783i	1.31711	+	1.08400i
$221$	−11.6290	−	14.5823i	−0.782253	−	0.980914i
$222$	−1.40315	−	4.11136i	−0.0941732	−	0.275937i
$223$	0.551575	+	2.41661i	0.0369362	+	0.161828i	0.990032	−	0.140839i	$-0.0449801\pi$
$223$	0.551575	+	2.41661i	0.0369362	+	0.161828i	−0.953096	+	0.302667i	$0.902123\pi$
$224$	−14.3680	+	4.19043i	−0.960004	+	0.279985i
$225$	0.0699444	−	0.306446i	0.00466296	−	0.0204298i
$226$	−22.0564	+	2.31312i	−1.46717	+	0.153866i
$227$	3.77183			0.250345			0.125173	−	0.992135i	$-0.460052\pi$
$227$	3.77183			0.250345			0.125173	+	0.992135i	$0.460052\pi$
$228$	−0.0204092	+	1.32365i	−0.00135163	+	0.0876609i
$229$	−2.63299	−	5.46747i	−0.173993	−	0.361300i	0.795676	−	0.605723i	$-0.207116\pi$
$229$	−2.63299	−	5.46747i	−0.173993	−	0.361300i	−0.969669	+	0.244422i	$0.921402\pi$
$230$	6.89399	+	7.00111i	0.454576	+	0.461639i
$231$	−13.1699	+	6.11223i	−0.866516	+	0.402155i
$232$	−8.54634	+	22.7242i	−0.561095	+	1.49192i
$233$	0.134158	−	0.587786i	0.00878900	−	0.0385071i	−0.970343	−	0.241731i	$-0.922285\pi$
$233$	0.134158	−	0.587786i	0.00878900	−	0.0385071i	0.979132	+	0.203224i	$0.0651420\pi$
$234$	3.59037	+	2.29478i	0.234710	+	0.150014i
$235$	−6.32468	−	13.1333i	−0.412577	−	0.856725i
$236$	19.8264	+	16.3173i	1.29059	+	1.06217i
$237$	−3.38741	+	7.03403i	−0.220036	+	0.456910i
$238$	−16.0139	−	16.7340i	−1.03803	−	1.08470i
$239$	−4.63007	−	9.61444i	−0.299494	−	0.621906i	0.695861	−	0.718177i	$-0.255023\pi$
$239$	−4.63007	−	9.61444i	−0.299494	−	0.621906i	−0.995355	+	0.0962702i	$0.969309\pi$
$240$	0.284292	−	9.21675i	0.0183510	−	0.594938i
$241$	−8.19615	+	1.87072i	−0.527960	+	0.120503i	−0.478189	−	0.878257i	$-0.658706\pi$
$241$	−8.19615	+	1.87072i	−0.527960	+	0.120503i	−0.0497716	+	0.998761i	$0.515849\pi$
$242$	25.4463	+	9.12481i	1.63575	+	0.586565i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	−5.78464	−	27.2760i	−0.370323	−	1.74616i
$245$	7.41380	−	14.3331i	0.473651	−	0.915708i
$246$	0.554328	+	5.28572i	0.0353427	+	0.337005i
$247$	−1.55924	−	1.24345i	−0.0992120	−	0.0791189i
$248$	−17.1229	−	2.33142i	−1.08730	−	0.148046i
$249$	−1.69880	−	7.44293i	−0.107657	−	0.471677i
$250$	−5.15636	+	14.3795i	−0.326117	+	0.909439i
$251$	11.9915	−	5.77480i	0.756896	−	0.364502i	−0.0153027	−	0.999883i	$-0.504871\pi$
$251$	11.9915	−	5.77480i	0.756896	−	0.364502i	0.772199	+	0.635381i	$0.219157\pi$
$252$	4.69721	+	2.43643i	0.295897	+	0.153481i
$253$	14.9012	+	7.17606i	0.936833	+	0.451155i
$254$	−4.03973	+	3.97792i	−0.253475	+	0.249597i
$255$	12.8571	−	6.19166i	0.805143	−	0.387737i
$256$	−2.59218	−	15.7886i	−0.162012	−	0.986789i
$257$	14.6955	+	3.35416i	0.916683	+	0.209227i	0.654738	−	0.755856i	$-0.272779\pi$
$257$	14.6955	+	3.35416i	0.916683	+	0.209227i	0.261945	+	0.965083i	$0.415636\pi$
$258$	−5.07728	−	3.24513i	−0.316098	−	0.202033i
$259$	7.89687	+	1.92142i	0.490688	+	0.119391i
$260$	10.7262	+	8.82781i	0.665212	+	0.547478i
$261$	7.73358	−	3.72430i	0.478697	−	0.230528i
$262$	0.823251	−	6.83272i	0.0508606	−	0.422127i
$263$			24.8678i			1.53342i	0.641996	+	0.766708i	$0.278107\pi$
$263$			24.8678i			1.53342i	−0.641996	+	0.766708i	$0.721893\pi$
$264$	−4.78631	−	14.7652i	−0.294577	−	0.908737i
$265$	12.4465	+	2.84084i	0.764583	+	0.174511i
$266$	−2.06754	−	1.36342i	−0.126769	−	0.0835968i
$267$	−1.60479	+	0.366283i	−0.0982116	+	0.0224161i
$268$	−8.40515	+	3.88923i	−0.513426	+	0.237572i
$269$	−6.59040	+	5.25567i	−0.401824	+	0.320444i	−0.803464	−	0.595354i	$-0.797012\pi$
$269$	−6.59040	+	5.25567i	−0.401824	+	0.320444i	0.401640	+	0.915798i	$0.368440\pi$
$270$	−2.32298	+	2.28744i	−0.141372	+	0.139209i
$271$	5.95173	+	26.0762i	0.361542	+	1.58402i	0.749283	+	0.662250i	$0.230398\pi$
$271$	5.95173	+	26.0762i	0.361542	+	1.58402i	−0.387741	+	0.921768i	$0.626745\pi$
$272$	19.8257	−	14.8341i	1.20211	−	0.899448i
$273$	−7.23094	+	3.35592i	−0.437637	+	0.203110i
$274$	2.41195	−	20.0184i	0.145711	−	1.20936i
$275$		−	1.72494i		−	0.104018i
$276$	−1.25053	−	5.89654i	−0.0752729	−	0.354930i
$277$	3.28041	−	14.3724i	0.197101	−	0.863555i	−0.775551	−	0.631286i	$-0.782528\pi$
$277$	3.28041	−	14.3724i	0.197101	−	0.863555i	0.972651	−	0.232270i	$-0.0746152\pi$
$278$	14.0616	−	8.68504i	0.843361	−	0.520894i
$279$	3.80934	+	4.77676i	0.228059	+	0.285977i
$280$	14.2535	+	9.71797i	0.851812	+	0.580760i
$281$	4.51312	−	5.65927i	0.269230	−	0.337604i	−0.628776	−	0.777586i	$-0.716444\pi$
$281$	4.51312	−	5.65927i	0.269230	−	0.337604i	0.898006	+	0.439982i	$0.145015\pi$
$282$	−1.06971	+	8.87823i	−0.0637002	+	0.528691i
$283$	9.96969	−	12.5016i	0.592636	−	0.743142i	−0.391574	−	0.920147i	$-0.628069\pi$
$283$	9.96969	−	12.5016i	0.592636	−	0.743142i	0.984210	+	0.177004i	$0.0566406\pi$
$284$	−10.5680	−	13.6793i	−0.627094	−	0.811715i
$285$	1.19298	−	0.951368i	0.0706659	−	0.0563542i
$286$	22.0112	+	7.89303i	1.30155	+	0.466725i
$287$	−8.89575	−	4.44152i	−0.525099	−	0.262174i
$288$	−3.19197	+	4.67026i	−0.188088	+	0.275198i
$289$	19.2081	+	9.25014i	1.12989	+	0.544126i
$290$	26.4841	−	9.03865i	1.55520	−	0.530768i
$291$	5.35748	−	11.1249i	0.314061	−	0.652154i
$292$	−15.5382	−	7.78017i	−0.909306	−	0.455300i
$293$			18.7447i			1.09508i	0.836781	+	0.547538i	$0.184435\pi$
$293$			18.7447i			1.09508i	−0.836781	+	0.547538i	$0.815565\pi$
$294$	−8.56758	+	4.95949i	−0.499671	+	0.289244i
$295$		−	29.5971i		−	1.72321i
$296$	−3.05847	+	8.13230i	−0.177770	+	0.472680i
$297$	−2.38103	+	4.94427i	−0.138162	+	0.286895i
$298$	7.44769	+	21.8225i	0.431433	+	1.26414i
$299$	8.18153	+	3.94002i	0.473150	+	0.227857i
$300$	−0.497486	+	0.384336i	−0.0287224	+	0.0221896i
$301$	10.2255	−	4.74573i	0.589390	−	0.273539i
$302$	6.51997	−	18.1822i	0.375182	−	1.04627i
$303$	2.10624	−	1.67967i	0.121000	−	0.0964946i
$304$	1.71380	−	2.01811i	0.0982929	−	0.115747i
$305$	−20.0381	+	25.1270i	−1.14738	+	1.43877i
$306$	−8.69150	−	1.04721i	−0.496860	−	0.0598649i
$307$	11.6044	−	14.5515i	0.662301	−	0.830499i	−0.331291	−	0.943529i	$-0.607484\pi$
$307$	11.6044	−	14.5515i	0.662301	−	0.830499i	0.993592	+	0.113030i	$0.0360556\pi$
$308$	28.1059	+	7.29932i	1.60148	+	0.415917i
$309$	3.11334	+	3.90401i	0.177112	+	0.222091i
$310$	10.4670	+	16.9468i	0.594487	+	0.962513i
$311$	3.09800	−	13.5732i	0.175672	−	0.769667i	−0.807925	−	0.589285i	$-0.799409\pi$
$311$	3.09800	−	13.5732i	0.175672	−	0.769667i	0.983597	−	0.180382i	$-0.0577334\pi$
$312$	−2.62793	−	8.10686i	−0.148777	−	0.458960i
$313$		−	1.47823i		−	0.0835548i	−0.999127	−	0.0417774i	$-0.986698\pi$
$313$		−	1.47823i		−	0.0835548i	0.999127	−	0.0417774i	$-0.0133020\pi$
$314$	−0.828118	−	0.0997771i	−0.0467334	−	0.00563075i
$315$	−1.27217	−	5.96505i	−0.0716787	−	0.336093i
$316$	14.1708	−	6.55713i	0.797172	−	0.368867i
$317$	−0.652741	−	2.85985i	−0.0366616	−	0.160625i	0.953284	−	0.302077i	$-0.0976800\pi$
$317$	−0.652741	−	2.85985i	−0.0366616	−	0.160625i	−0.989945	+	0.141452i	$0.954823\pi$
$318$	−5.49512	−	5.58050i	−0.308151	−	0.312939i
$319$	36.8278	−	29.3692i	2.06196	−	1.64436i
$320$	−12.1529	+	13.8717i	−0.679370	+	0.775450i
$321$	−14.4009	+	3.28690i	−0.803778	+	0.183457i
$322$	10.5595	+	3.95758i	0.588458	+	0.220547i
$323$	3.99463	+	0.911749i	0.222267	+	0.0507311i
$324$	1.95649	−	0.414928i	0.108694	−	0.0230516i
$325$		−	0.947080i		−	0.0525345i
$326$	7.62195	+	0.918343i	0.422141	+	0.0508623i
$327$	11.2255	−	5.40592i	0.620772	−	0.298948i
$328$	5.86180	−	8.86700i	0.323664	−	0.489598i
$329$	−12.9296	−	10.6165i	−0.712833	−	0.585308i
$330$	−9.63501	+	15.0748i	−0.530390	+	0.829840i
$331$	5.24868	+	1.19798i	0.288493	+	0.0658467i	0.364319	−	0.931274i	$-0.381302\pi$
$331$	5.24868	+	1.19798i	0.288493	+	0.0658467i	−0.0758252	+	0.997121i	$0.524159\pi$
$332$	−6.83613	+	13.6528i	−0.375181	+	0.749297i
$333$	2.76761	−	1.33281i	0.151664	−	0.0730377i
$334$	−24.8656	−	25.2519i	−1.36058	−	1.38172i
$335$	9.61786	+	4.63172i	0.525480	+	0.253058i
$336$	−4.15712	−	9.73233i	−0.226790	−	0.530942i
$337$	14.1650	−	6.82151i	0.771618	−	0.371591i	−0.00628185	−	0.999980i	$-0.502000\pi$
$337$	14.1650	−	6.82151i	0.771618	−	0.371591i	0.777899	+	0.628389i	$0.216285\pi$
$338$	−5.22049	−	1.87202i	−0.283957	−	0.101825i
$339$	−3.48952	−	15.2886i	−0.189525	−	0.830362i
$340$	−27.7238	−	6.77911i	−1.50354	−	0.367649i
$341$	26.2135	+	20.9046i	1.41954	+	1.13205i
$342$	−0.930968	+	0.0976333i	−0.0503410	+	0.00527940i
$343$	0.792995	−	18.5033i	0.0428177	−	0.999083i
$344$	3.71625	+	11.4642i	0.200367	+	0.618109i
$345$	−4.33186	+	5.43198i	−0.233219	+	0.292448i
$346$	0.452404	−	1.26162i	0.0243214	−	0.0678249i
$347$	−25.4149	+	5.80078i	−1.36434	+	0.311402i	−0.841145	−	0.540809i	$-0.818118\pi$
$347$	−25.4149	+	5.80078i	−1.36434	+	0.311402i	−0.523197	+	0.852212i	$0.675261\pi$
$348$	−16.6760	−	4.07765i	−0.893925	−	0.218585i
$349$	−6.40559	−	13.3013i	−0.342883	−	0.712004i	0.656210	−	0.754578i	$-0.272159\pi$
$349$	−6.40559	−	13.3013i	−0.342883	−	0.712004i	−0.999093	+	0.0425739i	$0.986444\pi$
$350$	−0.105957	−	1.17132i	−0.00566365	−	0.0626098i
$351$	−1.30731	+	2.71465i	−0.0697789	+	0.144897i
$352$	−11.3744	+	28.8843i	−0.606259	+	1.53954i
$353$	−3.23424	−	6.71597i	−0.172141	−	0.357455i	0.796993	−	0.603989i	$-0.206423\pi$
$353$	−3.23424	−	6.71597i	−0.172141	−	0.357455i	−0.969134	+	0.246533i	$0.920709\pi$
$354$	−9.77823	+	15.2989i	−0.519707	+	0.813127i
$355$	−4.43362	+	19.4250i	−0.235312	+	1.03097i
$356$	2.94372	+	1.47396i	0.156017	+	0.0781195i
$357$	10.3932	−	12.6577i	0.550068	−	0.669915i
$358$	−15.6534	+	15.4139i	−0.827308	+	0.814650i
$359$	6.11657	+	12.7012i	0.322820	+	0.670343i	0.997714	−	0.0675715i	$-0.0215251\pi$
$359$	6.11657	+	12.7012i	0.322820	+	0.670343i	−0.674894	+	0.737914i	$0.735811\pi$
$360$	6.49447	−	0.580019i	0.342289	−	0.0305697i
$361$	−18.5619			−0.976941
$362$	3.12765	+	29.8232i	0.164385	+	1.56747i
$363$	−4.25351	+	18.6358i	−0.223251	+	0.978128i
$364$	15.4316	+	4.00770i	0.808834	+	0.210060i
$365$	4.45702	+	19.5275i	0.233291	+	1.02212i
$366$	18.6592	−	6.36813i	0.975334	−	0.332867i
$367$	17.8967	+	22.4417i	0.934200	+	1.17145i	0.984968	+	0.172739i	$0.0552616\pi$
$367$	17.8967	+	22.4417i	0.934200	+	1.17145i	−0.0507681	+	0.998710i	$0.516167\pi$
$368$	−5.56301	+	10.6951i	−0.289992	+	0.557520i
$369$	−3.66384	+	0.836248i	−0.190732	+	0.0435333i
$370$	9.47785	−	3.23465i	0.492730	−	0.168162i
$371$	14.3298	−	3.05613i	0.743968	−	0.158667i
$372$	0.188388	−	12.2180i	0.00976744	−	0.633472i
$373$	−17.9432			−0.929061			−0.464531	−	0.885557i	$-0.653777\pi$
$373$	−17.9432			−0.929061			−0.464531	+	0.885557i	$0.653777\pi$
$374$	−47.7795	+	5.01077i	−2.47062	+	0.259101i
$375$	−10.5310	−	2.40363i	−0.543817	−	0.124123i
$376$	12.9356	−	12.3507i	0.667102	−	0.636939i
$377$	20.2203	−	16.1252i	1.04140	−	0.830490i
$378$	−1.31313	+	3.50367i	−0.0675403	+	0.180209i
$379$	7.90471	+	6.30380i	0.406038	+	0.323804i	0.805121	−	0.593110i	$-0.202100\pi$
$379$	7.90471	+	6.30380i	0.406038	+	0.323804i	−0.399083	+	0.916915i	$0.630672\pi$
$380$	−3.05139	−	0.0470491i	−0.156533	−	0.00241357i
$381$	−3.13432	−	2.49954i	−0.160576	−	0.128055i
$382$	−13.2584	−	21.4662i	−0.678360	−	1.09831i
$383$	−9.47102	−	11.8763i	−0.483947	−	0.606850i	0.478578	−	0.878045i	$-0.341152\pi$
$383$	−9.47102	−	11.8763i	−0.483947	−	0.606850i	−0.962524	+	0.271195i	$0.912581\pi$
$384$	10.8648	−	3.15527i	0.554443	−	0.161017i
$385$	−14.0904	−	30.3603i	−0.718114	−	1.54731i
$386$	1.81018	−	1.11804i	0.0921355	−	0.0569067i
$387$	1.84871	−	3.83889i	0.0939753	−	0.195142i
$388$	−22.4124	+	10.3707i	−1.13782	+	0.526490i
$389$	−35.0761	−	16.8917i	−1.77843	−	0.856445i	−0.959074	−	0.283157i	$-0.908618\pi$
$389$	−35.0761	−	16.8917i	−1.77843	−	0.856445i	−0.819354	−	0.573289i	$-0.805667\pi$
$390$	−5.29011	+	8.27683i	−0.267875	+	0.419113i
$391$	−18.6565			−0.943499
$392$	19.5337	+	3.23016i	0.986602	+	0.163148i
$393$	4.86640			0.245478
$394$	15.7565	−	24.6524i	0.793800	−	1.24197i
$395$	−16.2154	−	7.80894i	−0.815887	−	0.392910i
$396$	9.96078	−	4.60905i	0.500548	−	0.231613i
$397$	3.76083	−	7.80945i	0.188751	−	0.391945i	−0.785022	−	0.619468i	$-0.787348\pi$
$397$	3.76083	−	7.80945i	0.188751	−	0.391945i	0.973773	+	0.227523i	$0.0730626\pi$
$398$	−9.19265	+	5.67775i	−0.460786	+	0.284600i
$399$	0.782280	−	1.56680i	0.0391630	−	0.0784380i
$400$	1.25671	+	0.0387634i	0.0628356	+	0.00193817i
$401$	16.8033	+	21.0706i	0.839115	+	1.05222i	0.997892	+	0.0649019i	$0.0206735\pi$
$401$	16.8033	+	21.0706i	0.839115	+	1.05222i	−0.158777	+	0.987314i	$0.550755\pi$
$402$	−3.44130	−	5.57169i	−0.171637	−	0.277891i
$403$	14.3926	+	11.4777i	0.716945	+	0.571744i
$404$	−5.38733	−	0.0830666i	−0.268029	−	0.00413272i
$405$	−1.80234	−	1.43732i	−0.0895591	−	0.0714210i
$406$	23.2039	−	22.2054i	1.15159	−	1.10204i
$407$	13.1796	−	10.5103i	0.653286	−	0.520979i
$408$	12.0909	+	12.6635i	0.598590	+	0.626937i
$409$	−6.57609	−	1.50095i	−0.325167	−	0.0742172i	0.0568214	−	0.998384i	$-0.481903\pi$
$409$	−6.57609	−	1.50095i	−0.325167	−	0.0742172i	−0.381988	+	0.924167i	$0.624761\pi$
$410$	−12.1851	+	1.27788i	−0.601778	+	0.0631102i
$411$	14.2575			0.703272
$412$	0.153968	−	9.98564i	0.00758544	−	0.491957i
$413$	−14.2999	−	30.8117i	−0.703650	−	1.51614i
$414$	4.03377	−	1.37667i	0.198249	−	0.0676595i
$415$	17.1581	−	3.91621i	0.842256	−	0.192239i
$416$	−6.24514	+	15.8590i	−0.306193	+	0.777550i
$417$	7.28656	+	9.13706i	0.356824	+	0.447444i
$418$	−4.86158	+	1.65919i	−0.237788	+	0.0811535i
$419$	6.30868	+	27.6401i	0.308199	+	1.35031i	0.857414	+	0.514628i	$0.172070\pi$
$419$	6.30868	+	27.6401i	0.308199	+	1.35031i	−0.549214	+	0.835681i	$0.685073\pi$
$420$	−5.61666	+	10.8284i	−0.274065	+	0.528372i
$421$	7.29481	−	31.9607i	0.355527	−	1.55767i	−0.408668	−	0.912683i	$-0.634007\pi$
$421$	7.29481	−	31.9607i	0.355527	−	1.55767i	0.764196	−	0.644984i	$-0.223136\pi$
$422$	0.852814	+	8.13189i	0.0415144	+	0.395854i
$423$	−6.32326			−0.307448
$424$	1.39338	+	15.6017i	0.0676684	+	0.757684i
$425$	0.844238	+	1.75308i	0.0409515	+	0.0850367i
$426$	8.70935	−	8.57610i	0.421969	−	0.415513i
$427$	−8.72029	+	35.8396i	−0.422004	+	1.73440i
$428$	26.4160	+	13.2268i	1.27687	+	0.639342i
$429$	−3.67932	+	16.1202i	−0.177639	+	0.778288i
$430$	7.48093	−	11.7046i	0.360763	−	0.564444i
$431$	13.1622	+	27.3316i	0.634002	+	1.31652i	0.932176	+	0.362006i	$0.117908\pi$
$431$	13.1622	+	27.3316i	0.634002	+	1.31652i	−0.298174	+	0.954512i	$0.596378\pi$
$432$	−3.54865	−	1.84582i	−0.170735	−	0.0888070i
$433$	−5.06665	+	10.5210i	−0.243488	+	0.505608i	−0.986519	−	0.163650i	$-0.947673\pi$
$433$	−5.06665	+	10.5210i	−0.243488	+	0.505608i	0.743031	+	0.669257i	$0.233388\pi$
$434$	19.0844	+	12.5851i	0.916082	+	0.604103i
$435$	8.58556	+	17.8281i	0.411646	+	0.854792i
$436$	−24.2056	−	5.91883i	−1.15924	−	0.283460i
$437$	−1.94486	+	0.443901i	−0.0930352	+	0.0212347i
$438$	4.14760	−	11.5664i	0.198180	−	0.552663i
$439$	−6.13976	+	7.69901i	−0.293035	+	0.367454i	−0.906455	−	0.422303i	$-0.861222\pi$
$439$	−6.13976	+	7.69901i	−0.293035	+	0.367454i	0.613420	+	0.789757i	$0.289793\pi$
$440$	34.0380	−	11.0338i	1.62270	−	0.526016i
$441$	−4.20640	−	5.59519i	−0.200305	−	0.266438i
$442$	−26.2333	+	2.75117i	−1.24779	+	0.130860i
$443$	−14.7785	−	11.7854i	−0.702147	−	0.559943i	0.206022	−	0.978547i	$-0.433948\pi$
$443$	−14.7785	−	11.7854i	−0.702147	−	0.559943i	−0.908169	+	0.418604i	$0.862520\pi$
$444$	−5.96782	−	1.45927i	−0.283220	−	0.0692538i
$445$	−0.844385	−	3.69949i	−0.0400277	−	0.175373i
$446$	3.29975	+	1.18326i	0.156248	+	0.0560291i
$447$	−14.6900	+	7.07435i	−0.694815	+	0.334605i
$448$	−5.94955	+	20.3126i	−0.281090	+	0.959681i
$449$	27.6508	+	13.3159i	1.30492	+	0.628416i	0.951673	−	0.307114i	$-0.0993631\pi$
$449$	27.6508	+	13.3159i	1.30492	+	0.628416i	0.353247	+	0.935530i	$0.385077\pi$
$450$	−0.311895	−	0.316741i	−0.0147029	−	0.0149313i
$451$	−18.5809	+	8.94808i	−0.874939	+	0.421349i
$452$	−14.0422	+	28.0444i	−0.660487	+	1.31910i
$453$	13.3159	+	3.03927i	0.625636	+	0.142797i
$454$	2.87268	−	4.49456i	0.134822	−	0.210940i
$455$	−7.73635	−	16.6694i	−0.362686	−	0.781472i
$456$	1.56174	+	1.03243i	0.0731350	+	0.0483481i
$457$	−22.1933	+	10.6877i	−1.03816	+	0.499950i	−0.873716	−	0.486437i	$-0.838296\pi$
$457$	−22.1933	+	10.6877i	−1.03816	+	0.499950i	−0.164442	+	0.986387i	$0.552582\pi$
$458$	−8.52044	−	1.02660i	−0.398134	−	0.0479698i
$459$		−	6.19027i		−	0.288937i
$460$	13.5932	−	2.88282i	0.633785	−	0.134412i
$461$	−22.4518	−	5.12447i	−1.04568	−	0.238670i	−0.335026	−	0.942209i	$-0.608745\pi$
$461$	−22.4518	−	5.12447i	−1.04568	−	0.238670i	−0.710657	+	0.703539i	$0.751602\pi$
$462$	−2.74699	+	20.3486i	−0.127802	+	0.946702i
$463$	−34.5047	+	7.87548i	−1.60357	+	0.366005i	−0.928378	−	0.371636i	$-0.878797\pi$
$463$	−34.5047	+	7.87548i	−1.60357	+	0.366005i	−0.675193	+	0.737641i	$0.735940\pi$
$464$	20.5694	+	27.4910i	0.954912	+	1.27624i
$465$	−11.0118	+	8.78161i	−0.510659	+	0.407237i
$466$	−0.598236	−	0.607531i	−0.0277127	−	0.0281433i
$467$	4.40188	+	19.2859i	0.203695	+	0.892444i	0.968663	+	0.248377i	$0.0798972\pi$
$467$	4.40188	+	19.2859i	0.203695	+	0.892444i	−0.764969	+	0.644067i	$0.777246\pi$
$468$	5.46897	−	2.53060i	0.252803	−	0.116977i
$469$	12.2504	+	0.174910i	0.565669	+	0.00807657i
$470$	−20.4668	−	2.46598i	−0.944065	−	0.113747i
$471$		−	0.589803i		−	0.0271767i
$472$	34.5440	−	11.1978i	1.59002	−	0.515421i
$473$	5.20306	−	22.7961i	0.239237	−	1.04817i
$474$	5.80194	+	9.39371i	0.266492	+	0.431468i
$475$	0.129720	+	0.162664i	0.00595195	+	0.00746351i
$476$	−32.1369	+	6.33749i	−1.47299	+	0.290479i
$477$	3.45287	−	4.32976i	0.158096	−	0.198246i
$478$	−14.9830	−	1.80525i	−0.685308	−	0.0825704i
$479$	−1.36748	+	1.71477i	−0.0624818	+	0.0783497i	−0.812090	−	0.583532i	$-0.801670\pi$
$479$	−1.36748	+	1.71477i	−0.0624818	+	0.0783497i	0.749609	+	0.661881i	$0.230242\pi$
$480$	−10.7663	−	7.35838i	−0.491411	−	0.335863i
$481$	7.23624	−	5.77071i	0.329944	−	0.263122i
$482$	−4.01314	+	11.1914i	−0.182794	+	0.509754i
$483$	−1.88516	+	7.74783i	−0.0857777	+	0.352539i
$484$	30.2535	−	23.3725i	1.37516	−	1.06239i
$485$	25.6461	+	12.3505i	1.16453	+	0.560808i
$486$	0.456781	+	1.33841i	0.0207200	+	0.0607117i
$487$	10.1996	−	21.1798i	0.462189	−	0.959746i	−0.531445	−	0.847093i	$-0.678351\pi$
$487$	10.1996	−	21.1798i	0.462189	−	0.959746i	0.993634	−	0.112653i	$-0.0359349\pi$
$488$	−36.9081	−	13.8807i	−1.67075	−	0.628352i
$489$			5.42851i			0.245486i
$490$	−11.4330	−	19.7507i	−0.516492	−	0.892245i
$491$		−	5.26232i		−	0.237485i	−0.992925	−	0.118743i	$-0.962114\pi$
$491$		−	5.26232i		−	0.237485i	0.992925	−	0.118743i	$-0.0378863\pi$
$492$	6.72072	+	3.36514i	0.302993	+	0.151712i
$493$	−23.0544	+	47.8729i	−1.03832	+	2.15609i
$494$	−2.66925	+	0.910978i	−0.120095	+	0.0409868i
$495$	−11.3979	−	5.48895i	−0.512299	−	0.246710i
$496$	−15.8192	+	18.6282i	−0.710303	+	0.836431i
$497$	4.76963	+	22.3642i	0.213947	+	1.00317i
$498$	−10.1629	−	3.64434i	−0.455412	−	0.163307i
$499$	−22.3316	+	17.8089i	−0.999701	+	0.797235i	−0.979271	−	0.202557i	$-0.935075\pi$
$499$	−22.3316	+	17.8089i	−0.999701	+	0.797235i	−0.0204301	+	0.999791i	$0.506504\pi$
$500$	13.2076	+	17.0960i	0.590663	+	0.764558i
$501$	15.6243	−	19.5923i	0.698044	−	0.875319i
$502$	2.25158	−	18.6874i	0.100493	−	0.834059i
$503$	12.0710	−	15.1365i	0.538218	−	0.674903i	−0.436148	−	0.899875i	$-0.643658\pi$
$503$	12.0710	−	15.1365i	0.538218	−	0.674903i	0.974365	+	0.224972i	$0.0722289\pi$
$504$	6.48075	−	3.74163i	0.288676	−	0.166666i
$505$	3.87212	+	4.85548i	0.172307	+	0.216066i
$506$	19.9001	−	12.2911i	0.884667	−	0.546407i
$507$	0.872639	−	3.82328i	0.0387553	−	0.169798i
$508$	1.66342	+	7.84344i	0.0738025	+	0.347997i
$509$			17.8209i			0.789899i	0.918703	+	0.394950i	$0.129238\pi$
$509$			17.8209i			0.789899i	−0.918703	+	0.394950i	$0.870762\pi$
$510$	2.41411	−	20.0364i	0.106899	−	0.887225i
$511$	14.0747	+	18.1754i	0.622627	+	0.804034i
$512$	−20.7882	−	8.93598i	−0.918716	−	0.394918i
$513$	−0.147287	−	0.645309i	−0.00650290	−	0.0284911i
$514$	15.1892	−	14.9568i	0.669968	−	0.659717i
$515$	−8.99984	+	7.17713i	−0.396580	+	0.316262i
$516$	−7.73387	+	3.57862i	−0.340465	+	0.157540i
$517$	−33.8303	+	7.72155i	−1.48786	+	0.339593i
$518$	8.30397	−	7.94663i	0.364856	−	0.349155i
$519$	0.923958	+	0.210887i	0.0405572	+	0.00925693i
$520$	18.6886	−	6.05811i	0.819549	−	0.265666i
$521$			8.86576i			0.388416i	0.980960	+	0.194208i	$0.0622136\pi$
$521$			8.86576i			0.388416i	−0.980960	+	0.194208i	$0.937786\pi$
$522$	1.45209	−	12.0519i	0.0635565	−	0.527498i
$523$	−38.4272	+	18.5056i	−1.68031	+	0.809193i	−0.683447	+	0.730000i	$0.739520\pi$
$523$	−38.4272	+	18.5056i	−1.68031	+	0.809193i	−0.996859	+	0.0791924i	$0.974766\pi$
$524$	−7.51496	−	6.18490i	−0.328292	−	0.270189i
$525$	0.813340	−	0.173462i	0.0354971	−	0.00757048i
$526$	29.6328	+	18.9397i	1.29205	+	0.825811i
$527$	−36.8725	−	8.41590i	−1.60619	−	0.366602i
$528$	−21.2398	−	5.54200i	−0.924342	−	0.241185i
$529$	−12.5386	+	6.03825i	−0.545155	+	0.262533i
$530$	12.8646	−	12.6678i	0.558804	−	0.550254i
$531$	−11.5674	−	5.57055i	−0.501981	−	0.241741i
$532$	−3.19934	+	1.42530i	−0.138709	+	0.0617947i
$533$	−10.2018	+	4.91295i	−0.441891	+	0.212803i
$534$	−0.785765	+	2.19126i	−0.0340034	+	0.0948249i
$535$	−7.57724	−	33.1981i	−0.327593	−	1.43528i
$536$	−1.76703	+	12.9778i	−0.0763243	+	0.560555i
$537$	−12.1451	−	9.68536i	−0.524098	−	0.417954i
$538$	1.24337	+	11.8560i	0.0536056	+	0.511149i
$539$	−29.3373	−	24.7985i	−1.26365	−	1.06815i
$540$	0.956526	+	4.51025i	0.0411623	+	0.194090i
$541$	−0.0896636	+	0.112435i	−0.00385494	+	0.00483394i	−0.783755	−	0.621070i	$-0.786698\pi$
$541$	−0.0896636	+	0.112435i	−0.00385494	+	0.00483394i	0.779900	+	0.625904i	$0.215270\pi$
$542$	35.6057	+	12.7679i	1.52940	+	0.548428i
$543$	−20.6722	+	4.71830i	−0.887130	+	0.202482i
$544$	−2.57690	−	34.9225i	−0.110484	−	1.49729i
$545$	12.4622	+	25.8780i	0.533821	+	1.10849i
$546$	−1.50824	+	11.1724i	−0.0645467	+	0.478135i
$547$	−2.36148	+	4.90367i	−0.100970	+	0.209666i	−0.945334	−	0.326104i	$-0.894264\pi$
$547$	−2.36148	+	4.90367i	−0.100970	+	0.209666i	0.844364	+	0.535770i	$0.179978\pi$
$548$	−22.0172	−	18.1204i	−0.940529	−	0.774067i
$549$	6.04891	+	12.5607i	0.258161	+	0.536077i
$550$	−2.05546	−	1.31374i	−0.0876452	−	0.0560181i
$551$	−1.26426	+	5.53909i	−0.0538593	+	0.235973i
$552$	−7.97881	−	3.00075i	−0.339601	−	0.127720i
$553$	−20.6538	−	0.294893i	−0.878288	−	0.0125401i
$554$	−14.6280	−	14.8552i	−0.621482	−	0.631139i
$555$	3.07251	+	6.38013i	0.130421	+	0.270821i
$556$	0.360350	−	23.3707i	0.0152823	−	0.991138i
$557$	30.7632			1.30348			0.651739	−	0.758444i	$-0.274040\pi$
$557$	30.7632			1.30348			0.651739	+	0.758444i	$0.274040\pi$
$558$	8.59331	−	0.901205i	0.363784	−	0.0381510i
$559$	2.85674	−	12.5162i	0.120827	−	0.529379i
$560$	22.4358	−	9.58335i	0.948085	−	0.404970i
$561$	−7.55914	−	33.1187i	−0.319147	−	1.39827i
$562$	−3.30640	−	9.68809i	−0.139472	−	0.408667i
$563$	4.55868	+	5.71640i	0.192125	+	0.240918i	0.868559	−	0.495586i	$-0.165047\pi$
$563$	4.55868	+	5.71640i	0.192125	+	0.240918i	−0.676433	+	0.736504i	$0.736475\pi$
$564$	9.76472	+	8.03648i	0.411169	+	0.338397i
$565$	35.2445	−	8.04433i	1.48275	−	0.338428i
$566$	−7.30399	−	21.4014i	−0.307010	−	0.899569i
$567$	−2.57075	−	0.625500i	−0.107961	−	0.0262685i
$568$	−24.3491	+	2.17461i	−1.02167	+	0.0912446i
$569$	26.6885			1.11884			0.559421	−	0.828884i	$-0.311024\pi$
$569$	26.6885			1.11884			0.559421	+	0.828884i	$0.311024\pi$
$570$	−0.225072	−	2.14614i	−0.00942724	−	0.0898921i
$571$	−36.4402	−	8.31724i	−1.52498	−	0.348066i	−0.623822	−	0.781566i	$-0.714421\pi$
$571$	−36.4402	−	8.31724i	−1.52498	−	0.348066i	−0.901153	+	0.433501i	$0.857278\pi$
$572$	26.1695	−	20.2174i	1.09420	−	0.845332i
$573$	13.9485	−	11.1235i	0.582705	−	0.464692i
$574$	−12.0677	+	7.21756i	−0.503696	+	0.301255i
$575$	−0.740654	−	0.590652i	−0.0308874	−	0.0246319i
$576$	3.13410	+	7.36053i	0.130587	+	0.306689i
$577$	1.48174	+	1.18165i	0.0616858	+	0.0491928i	0.653847	−	0.756626i	$-0.273154\pi$
$577$	1.48174	+	1.18165i	0.0616858	+	0.0491928i	−0.592162	+	0.805819i	$0.701725\pi$
$578$	25.6518	−	15.8436i	1.06697	−	0.659006i
$579$	0.938010	+	1.17623i	0.0389824	+	0.0488823i
$580$	9.40014	−	38.4428i	0.390320	−	1.59625i
$581$	15.9701	−	12.3669i	0.662549	−	0.513064i
$582$	−9.17626	−	14.8570i	−0.380368	−	0.615841i
$583$	13.1861	−	27.3812i	0.546113	−	1.13401i
$584$	−21.1051	+	12.5901i	−0.873335	+	0.520980i
$585$	−6.25804	−	3.01371i	−0.258738	−	0.124602i
$586$	22.3364	+	14.2762i	0.922709	+	0.589746i
$587$	−41.2076			−1.70082			−0.850411	−	0.526119i	$-0.823647\pi$
$587$	−41.2076			−1.70082			−0.850411	+	0.526119i	$0.823647\pi$
$588$	−0.615403	+	13.9865i	−0.0253788	+	0.576792i
$589$	−4.04404			−0.166632
$590$	−35.2683	−	22.5416i	−1.45197	−	0.928022i
$591$	18.6395	+	8.97629i	0.766725	+	0.369235i
$592$	7.36117	+	9.83820i	0.302542	+	0.404348i
$593$	17.2897	−	35.9024i	0.710002	−	1.47433i	−0.163005	−	0.986625i	$-0.552119\pi$
$593$	17.2897	−	35.9024i	0.710002	−	1.47433i	0.873007	−	0.487708i	$-0.162167\pi$
$594$	4.07822	+	6.60290i	0.167331	+	0.270920i
$595$	29.1795	+	23.9593i	1.19624	+	0.982236i
$596$	31.6762	+	7.74556i	1.29751	+	0.317270i
$597$	−4.76351	−	5.97325i	−0.194958	−	0.244469i
$598$	10.9262	−	6.74844i	0.446804	−	0.275964i
$599$	−3.76426	−	3.00190i	−0.153803	−	0.122654i	0.543565	−	0.839367i	$-0.317074\pi$
$599$	−3.76426	−	3.00190i	−0.153803	−	0.122654i	−0.697368	+	0.716713i	$0.745646\pi$
$600$	0.0790860	+	0.885527i	0.00322867	+	0.0361515i
$601$	16.6156	+	13.2505i	0.677765	+	0.540499i	0.900758	−	0.434321i	$-0.143011\pi$
$601$	16.6156	+	13.2505i	0.677765	+	0.540499i	−0.222994	+	0.974820i	$0.571583\pi$
$602$	2.13286	−	15.7993i	0.0869287	−	0.643932i
$603$	3.62041	−	2.88718i	0.147434	−	0.117575i
$604$	−16.7004	−	21.6171i	−0.679530	−	0.879588i
$605$	−42.9609	−	9.80554i	−1.74661	−	0.398652i
$606$	−0.397372	−	3.78909i	−0.0161422	−	0.153921i
$607$	9.17625			0.372452			0.186226	−	0.982507i	$-0.440374\pi$
$607$	9.17625			0.372452			0.186226	+	0.982507i	$0.440374\pi$
$608$	−1.09956	−	3.57921i	−0.0445929	−	0.145156i
$609$	17.5516	+	14.4116i	0.711225	+	0.583987i
$610$	14.6803	+	43.0148i	0.594389	+	1.74162i
$611$	−18.5746	+	4.23952i	−0.751446	+	0.171513i
$612$	−7.86745	+	9.55933i	−0.318023	+	0.386413i
$613$	−3.54272	−	4.44243i	−0.143089	−	0.179428i	0.705123	−	0.709085i	$-0.250892\pi$
$613$	−3.54272	−	4.44243i	−0.143089	−	0.179428i	−0.848212	+	0.529657i	$0.822320\pi$
$614$	−8.50165	−	24.9107i	−0.343099	−	1.00531i
$615$	−1.92779	−	8.44619i	−0.0777359	−	0.340583i
$616$	30.1039	−	27.9321i	1.21292	−	1.12542i
$617$	6.13103	−	26.8618i	0.246826	−	1.08142i	−0.687833	−	0.725869i	$-0.741438\pi$
$617$	6.13103	−	26.8618i	0.246826	−	1.08142i	0.934659	−	0.355546i	$-0.115705\pi$
$618$	7.02324	−	0.736547i	0.282516	−	0.0296283i
$619$	−47.3966			−1.90503			−0.952515	−	0.304491i	$-0.901514\pi$
$619$	−47.3966			−1.90503			−0.952515	+	0.304491i	$0.901514\pi$
$620$	28.1659	+	0.434287i	1.13117	+	0.0174414i
$621$	1.30766	+	2.71538i	0.0524745	+	0.108964i
$622$	−13.8146	−	14.0292i	−0.553913	−	0.562520i
$623$	−2.66645	−	3.44335i	−0.106829	−	0.137955i
$624$	−11.6617	−	3.04284i	−0.466842	−	0.121811i
$625$	5.89076	−	25.8091i	0.235630	−	1.03236i
$626$	−1.76148	−	1.12585i	−0.0704031	−	0.0449979i
$627$	−1.57602	−	3.27263i	−0.0629400	−	0.130696i
$628$	−0.749603	+	0.910805i	−0.0299124	+	0.0363451i
$629$	−8.25046	+	17.1323i	−0.328967	+	0.683108i
$630$	−8.07694	−	3.02714i	−0.321793	−	0.120604i
$631$	13.7680	+	28.5896i	0.548096	+	1.13813i	0.972552	+	0.232684i	$0.0747509\pi$
$631$	13.7680	+	28.5896i	0.548096	+	1.13813i	−0.424456	+	0.905448i	$0.639535\pi$
$632$	2.97917	−	21.8802i	0.118505	−	0.870347i
$633$	−5.63669	+	1.28654i	−0.224038	+	0.0511353i
$634$	−3.90497	−	1.40029i	−0.155086	−	0.0556125i
$635$	5.76214	−	7.22549i	0.228664	−	0.286735i
$636$	−10.8350	+	2.29786i	−0.429634	+	0.0911161i
$637$	−16.1077	−	13.6156i	−0.638208	−	0.539470i
$638$	−6.94810	−	66.2526i	−0.275078	−	2.62297i
$639$	6.75735	+	5.38881i	0.267317	+	0.213178i
$640$	7.27379	+	25.0465i	0.287522	+	0.990049i
$641$	−3.21033	−	14.0654i	−0.126801	−	0.555549i	−0.997919	−	0.0644769i	$-0.979462\pi$
$641$	−3.21033	−	14.0654i	−0.126801	−	0.555549i	0.871119	−	0.491073i	$-0.163395\pi$
$642$	−7.05121	+	19.6636i	−0.278289	+	0.776061i
$643$	−1.38456	+	0.666770i	−0.0546018	+	0.0262948i	−0.460985	−	0.887408i	$-0.652504\pi$
$643$	−1.38456	+	0.666770i	−0.0546018	+	0.0262948i	0.406384	+	0.913703i	$0.366790\pi$
$644$	12.7582	−	9.56869i	0.502743	−	0.377059i
$645$	8.84973	+	4.26180i	0.348458	+	0.167808i
$646$	4.12883	−	4.06565i	0.162446	−	0.159961i
$647$	−27.5343	+	13.2598i	−1.08249	+	0.521298i	−0.888111	−	0.459629i	$-0.847982\pi$
$647$	−27.5343	+	13.2598i	−1.08249	+	0.521298i	−0.194375	+	0.980927i	$0.562268\pi$
$648$	0.995656	−	2.64739i	0.0391131	−	0.103999i
$649$	−68.6893	−	15.6779i	−2.69629	−	0.615411i
$650$	−1.12855	−	0.721311i	−0.0442655	−	0.0282921i
$651$	−7.22084	+	14.4623i	−0.283007	+	0.566824i
$652$	6.89930	−	8.38299i	0.270198	−	0.328303i
$653$	−9.00385	+	4.33602i	−0.352348	+	0.169682i	−0.601682	−	0.798736i	$-0.705503\pi$
$653$	−9.00385	+	4.33602i	−0.352348	+	0.169682i	0.249334	+	0.968417i	$0.419788\pi$
$654$	2.10776	−	17.4937i	0.0824198	−	0.684058i
$655$			11.2184i			0.438341i
$656$	−6.10160	−	13.7382i	−0.238227	−	0.536388i
$657$	8.47076	+	1.93340i	0.330476	+	0.0754290i
$658$	−22.4982	+	7.32140i	−0.877071	+	0.285418i
$659$	41.9560	−	9.57619i	1.63437	−	0.373035i	0.695834	−	0.718203i	$-0.255035\pi$
$659$	41.9560	−	9.57619i	1.63437	−	0.373035i	0.938541	+	0.345168i	$0.112178\pi$
$660$	10.6252	+	22.9624i	0.413584	+	0.893810i
$661$	−7.17974	+	5.72565i	−0.279260	+	0.222702i	−0.753096	−	0.657911i	$-0.771440\pi$
$661$	−7.17974	+	5.72565i	−0.279260	+	0.222702i	0.473836	+	0.880613i	$0.342869\pi$
$662$	5.42500	−	5.34199i	0.210848	−	0.207622i
$663$	−4.15035	−	18.1839i	−0.161186	−	0.706203i
$664$	11.0624	+	18.5442i	0.429304	+	0.719656i
$665$	3.61191	+	1.80338i	0.140064	+	0.0699319i
$666$	0.519660	−	4.31301i	0.0201364	−	0.167126i
$667$		−	25.8697i		−	1.00168i
$668$	−49.0285	+	10.3979i	−1.89697	+	0.402306i
$669$	−0.551575	+	2.41661i	−0.0213251	+	0.0934314i
$670$	12.8443	−	7.93318i	0.496219	−	0.306485i
$671$	47.7007	+	59.8148i	1.84147	+	2.30913i
$672$	−14.7633	−	2.45861i	−0.569507	−	0.0948430i
$673$	−11.3713	+	14.2592i	−0.438333	+	0.549653i	−0.951103	−	0.308874i	$-0.900048\pi$
$673$	−11.3713	+	14.2592i	−0.438333	+	0.549653i	0.512770	+	0.858526i	$0.328619\pi$
$674$	2.65969	−	22.0746i	0.102447	−	0.850281i
$675$	0.195980	−	0.245751i	0.00754327	−	0.00945896i
$676$	−6.20673	+	4.79504i	−0.238721	+	0.184425i
$677$	−15.9459	+	12.7164i	−0.612850	+	0.488731i	−0.880032	−	0.474915i	$-0.842479\pi$
$677$	−15.9459	+	12.7164i	−0.612850	+	0.488731i	0.267182	+	0.963646i	$0.413907\pi$
$678$	−20.8758	−	7.48587i	−0.801729	−	0.287493i
$679$	32.6657	+	0.466398i	1.25359	+	0.0178987i
$680$	−29.1930	+	27.8730i	−1.11950	+	1.06888i
$681$	3.39830	+	1.63654i	0.130223	+	0.0627122i
$682$	44.8749	−	15.3151i	1.71835	−	0.586447i
$683$	−10.3060	+	21.4006i	−0.394348	+	0.818873i	0.605388	+	0.795930i	$0.293018\pi$
$683$	−10.3060	+	21.4006i	−0.394348	+	0.818873i	−0.999737	+	0.0229427i	$0.992696\pi$
$684$	−0.592699	+	1.18371i	−0.0226624	+	0.0452604i
$685$			32.8676i			1.25581i
$686$	−21.4448	−	15.0373i	−0.818766	−	0.574128i
$687$		−	6.06843i		−	0.231525i
$688$	16.4912	+	4.30299i	0.628723	+	0.164050i
$689$	7.23984	−	15.0337i	0.275816	−	0.572738i
$690$	3.17360	+	9.29897i	0.120817	+	0.354006i
$691$	−34.8892	−	16.8018i	−1.32725	−	0.639169i	−0.370161	−	0.928968i	$-0.620697\pi$
$691$	−34.8892	−	16.8018i	−1.32725	−	0.639169i	−0.957088	+	0.289799i	$0.906412\pi$
$692$	−1.15880	−	1.49996i	−0.0440509	−	0.0570198i
$693$	−14.5177	−	0.207282i	−0.551481	−	0.00787399i
$694$	−12.4441	+	34.7027i	−0.472371	+	1.31730i
$695$	−21.0635	+	16.7976i	−0.798984	+	0.637168i
$696$	−17.5597	+	16.7657i	−0.665597	+	0.635502i
$697$	14.5045	−	18.1881i	0.549397	−	0.688922i
$698$	−20.7286	−	2.49752i	−0.784591	−	0.0945327i
$699$	0.375903	−	0.471367i	0.0142180	−	0.0178288i
$700$	−1.47646	−	0.765837i	−0.0558050	−	0.0289459i
$701$	9.85818	+	12.3618i	0.372338	+	0.466897i	0.932334	−	0.361598i	$-0.117769\pi$
$701$	9.85818	+	12.3618i	0.372338	+	0.466897i	−0.559996	+	0.828495i	$0.689197\pi$
$702$	2.23915	+	3.62533i	0.0845113	+	0.136829i
$703$	−0.452440	+	1.98227i	−0.0170641	+	0.0747628i
$704$	25.7560	+	35.5527i	0.970717	+	1.33994i
$705$		−	14.5769i		−	0.548998i
$706$	−10.4661	−	1.26102i	−0.393897	−	0.0474593i
$707$	6.37695	+	3.18392i	0.239830	+	0.119744i
$708$	10.7831	+	23.3037i	0.405254	+	0.875808i
$709$	9.16576	+	40.1578i	0.344227	+	1.50816i	0.790053	+	0.613039i	$0.210053\pi$
$709$	9.16576	+	40.1578i	0.344227	+	1.50816i	−0.445826	+	0.895120i	$0.647090\pi$
$710$	19.7703	+	20.0775i	0.741967	+	0.753496i
$711$	−6.10391	+	4.86770i	−0.228914	+	0.182553i
$712$	3.99837	−	2.38519i	0.149845	−	0.0893889i
$713$	17.9520	−	4.09743i	0.672309	−	0.153450i
$714$	−7.16741	−	22.0250i	−0.268234	−	0.824264i
$715$	−37.1615	−	8.48187i	−1.38976	−	0.317204i
$716$	6.44554	+	30.3923i	0.240881	+	1.13581i
$717$		−	10.6712i		−	0.398524i
$718$	19.7934	+	2.38484i	0.738682	+	0.0890013i
$719$	28.1484	−	13.5556i	1.04976	−	0.505538i	0.172229	−	0.985057i	$-0.444903\pi$
$719$	28.1484	−	13.5556i	1.04976	−	0.505538i	0.877531	+	0.479519i	$0.159189\pi$
$720$	4.25513	−	8.18065i	0.158579	−	0.304875i
$721$	−5.90153	+	11.8199i	−0.219784	+	0.440198i
$722$	−14.1370	+	22.1186i	−0.526125	+	0.823168i
$723$	−8.19615	−	1.87072i	−0.304818	−	0.0695727i
$724$	37.9198	+	18.9869i	1.40928	+	0.705642i
$725$	−2.43088	+	1.17065i	−0.0902805	+	0.0434768i
$726$	18.9672	+	19.2619i	0.703938	+	0.714876i
$727$	−40.0273	−	19.2761i	−1.48453	−	0.714911i	−0.496337	−	0.868130i	$-0.665322\pi$
$727$	−40.0273	−	19.2761i	−1.48453	−	0.714911i	−0.988192	+	0.153219i	$0.951036\pi$
$728$	16.5285	−	15.3361i	0.612589	−	0.568395i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	26.6638	+	9.56140i	0.986870	+	0.353883i
$731$	5.86916	+	25.7145i	0.217079	+	0.951084i
$732$	6.62282	−	27.0847i	0.244786	−	1.00108i
$733$	−13.7695	−	10.9808i	−0.508589	−	0.405586i	0.335294	−	0.942114i	$-0.391164\pi$
$733$	−13.7695	−	10.9808i	−0.508589	−	0.405586i	−0.843883	+	0.536528i	$0.819736\pi$
$734$	40.3723	−	4.23395i	1.49017	−	0.156278i
$735$	12.8985	−	9.69694i	0.475768	−	0.357677i
$736$	8.50753	+	14.7745i	0.313592	+	0.544595i
$737$	15.8440	−	19.8678i	0.583623	−	0.731840i
$738$	−1.79395	+	5.00278i	−0.0660364	+	0.184155i
$739$	42.9413	−	9.80108i	1.57962	−	0.360538i	0.659356	−	0.751831i	$-0.270829\pi$
$739$	42.9413	−	9.80108i	1.57962	−	0.360538i	0.920266	+	0.391292i	$0.127972\pi$
$740$	3.36402	−	13.7575i	0.123664	−	0.505736i
$741$	−0.865312	−	1.79684i	−0.0317880	−	0.0660085i
$742$	7.27210	−	19.4032i	0.266967	−	0.712315i
$743$	−17.8283	+	37.0209i	−0.654059	+	1.35817i	0.265078	+	0.964227i	$0.414602\pi$
$743$	−17.8283	+	37.0209i	−0.654059	+	1.35817i	−0.919136	+	0.393940i	$0.871112\pi$
$744$	−14.4156	−	9.52988i	−0.528502	−	0.349382i
$745$	−16.3084	−	33.8647i	−0.597493	−	1.24071i
$746$	−13.6658	+	21.3813i	−0.500340	+	0.782825i
$747$	1.69880	−	7.44293i	0.0621558	−	0.272323i
$748$	−30.4187	+	60.7509i	−1.11222	+	2.22127i
$749$	−23.9279	−	30.8995i	−0.874306	−	1.12904i
$750$	−10.8847	+	10.7182i	−0.397455	+	0.391374i
$751$	19.2887	+	40.0534i	0.703854	+	1.46157i	0.878899	+	0.477008i	$0.158279\pi$
$751$	19.2887	+	40.0534i	0.703854	+	1.46157i	−0.175044	+	0.984561i	$0.556007\pi$
$752$	−4.86531	−	24.8207i	−0.177420	−	0.905118i
$753$	13.3096			0.485027
$754$	−3.81486	−	36.3760i	−0.138929	−	1.32474i
$755$	−7.00638	+	30.6969i	−0.254988	+	1.11718i
$756$	3.17491	+	4.23319i	0.115470	+	0.153960i
$757$	7.21552	+	31.6133i	0.262253	+	1.14900i	0.918801	+	0.394720i	$0.129159\pi$
$757$	7.21552	+	31.6133i	0.262253	+	1.14900i	−0.656549	+	0.754284i	$0.727984\pi$
$758$	13.5320	−	4.61829i	0.491506	−	0.167744i
$759$	10.3120	+	12.9308i	0.374301	+	0.469359i
$760$	−2.38005	+	3.60024i	−0.0863334	+	0.130594i
$761$	−22.0035	+	5.02216i	−0.797627	+	0.182053i	−0.601864	−	0.798598i	$-0.705575\pi$
$761$	−22.0035	+	5.02216i	−0.797627	+	0.182053i	−0.195762	+	0.980651i	$0.562718\pi$
$762$	−5.36563	+	1.83121i	−0.194376	+	0.0663378i
$763$	25.4766	+	20.9188i	0.922313	+	0.757312i
$764$	−35.6773	−	0.550104i	−1.29076	−	0.0199021i
$765$	14.2703			0.515944
$766$	−21.3652	+	2.24063i	−0.771957	+	0.0809573i
$767$	−37.7139	−	8.60795i	−1.36177	−	0.310815i
$768$	4.51495	−	15.3498i	0.162919	−	0.553887i
$769$	−4.71876	+	3.76308i	−0.170163	+	0.135700i	−0.704868	−	0.709338i	$-0.748994\pi$
$769$	−4.71876	+	3.76308i	−0.170163	+	0.135700i	0.534706	+	0.845038i	$0.320423\pi$
$770$	−46.9093	−	6.33260i	−1.69049	−	0.228211i
$771$	11.7849	+	9.39816i	0.424423	+	0.338466i
$772$	0.0463885	−	3.00854i	0.00166956	−	0.108280i
$773$	−2.34141	−	1.86722i	−0.0842148	−	0.0671591i	0.580477	−	0.814276i	$-0.302866\pi$
$773$	−2.34141	−	1.86722i	−0.0842148	−	0.0671591i	−0.664692	+	0.747117i	$0.731437\pi$
$774$	−3.16646	−	5.12671i	−0.113816	−	0.184276i
$775$	−1.19738	−	1.50147i	−0.0430111	−	0.0539343i
$776$	−4.71181	+	34.6054i	−0.169144	+	1.24226i
$777$	6.28116	+	5.15747i	0.225336	+	0.185023i
$778$	−46.8429	+	28.9321i	−1.67940	+	1.03727i
$779$	1.07928	−	2.24114i	0.0386691	−	0.0802972i
$780$	5.83375	+	12.6075i	0.208882	+	0.451422i
$781$	42.7332	+	20.5792i	1.52911	+	0.736383i
$782$	−14.2091	+	22.2313i	−0.508115	+	0.794990i
$783$	8.58363			0.306754
$784$	18.7263	−	20.8165i	0.668796	−	0.743446i
$785$	1.35966			0.0485284
$786$	3.70633	−	5.79887i	0.132200	−	0.206839i
$787$	−20.6218	−	9.93094i	−0.735088	−	0.354000i	0.0285950	−	0.999591i	$-0.490897\pi$
$787$	−20.6218	−	9.93094i	−0.735088	−	0.354000i	−0.763683	+	0.645591i	$0.776611\pi$
$788$	−17.3757	−	37.5513i	−0.618984	−	1.33771i
$789$	−10.7897	+	22.4051i	−0.384125	+	0.797644i
$790$	−21.6552	+	13.3751i	−0.770456	+	0.475865i
$791$	32.8042	−	25.4029i	1.16638	−	0.903222i
$792$	2.09408	−	15.3797i	0.0744098	−	0.546494i
$793$	26.1901	+	32.8414i	0.930038	+	1.16623i
$794$	−6.44154	−	10.4293i	−0.228602	−	0.370121i
$795$	9.98133	+	7.95984i	0.354001	+	0.282307i
$796$	−0.235575	+	15.2783i	−0.00834974	+	0.541526i
$797$	−11.6409	−	9.28335i	−0.412344	−	0.328833i	0.395249	−	0.918574i	$-0.370658\pi$
$797$	−11.6409	−	9.28335i	−0.412344	−	0.328833i	−0.807592	+	0.589741i	$0.799230\pi$
$798$	−1.27122	−	2.12547i	−0.0450007	−	0.0752409i
$799$	30.6030	−	24.4051i	1.08266	−	0.863389i
$800$	1.00332	−	1.46799i	0.0354728	−	0.0519013i
$801$	−1.60479	−	0.366283i	−0.0567025	−	0.0129420i
$802$	37.9056	−	3.97527i	1.33849	−	0.140372i
$803$	47.6806			1.68261
$804$	−9.26025	−	0.142783i	−0.326584	−	0.00503556i
$805$	−17.8609	−	4.34582i	−0.629515	−	0.153170i
$806$	24.6386	−	8.40879i	0.867856	−	0.296187i
$807$	−8.21809	+	1.87573i	−0.289291	+	0.0660287i
$808$	−4.20205	+	6.35634i	−0.147828	+	0.223615i
$809$	15.4613	+	19.3879i	0.543592	+	0.681643i	0.975430	−	0.220308i	$-0.0707063\pi$
$809$	15.4613	+	19.3879i	0.543592	+	0.681643i	−0.431838	+	0.901951i	$0.642135\pi$
$810$	−3.08542	+	1.05301i	−0.108411	+	0.0369990i
$811$	−8.84246	−	38.7413i	−0.310501	−	1.36039i	−0.853690	−	0.520782i	$-0.825641\pi$
$811$	−8.84246	−	38.7413i	−0.310501	−	1.36039i	0.543189	−	0.839610i	$-0.317217\pi$
$812$	−8.78778	−	44.5621i	−0.308391	−	1.56382i
$813$	−5.95173	+	26.0762i	−0.208736	+	0.914533i
$814$	−2.48651	−	23.7098i	−0.0871522	−	0.831027i
$815$	−12.5143			−0.438355
$816$	24.2986	−	4.76298i	0.850623	−	0.166738i
$817$	1.22367	+	2.54098i	0.0428108	+	0.0888975i
$818$	−6.79701	+	6.69301i	−0.237652	+	0.234016i
$819$	−7.97094	−	0.113808i	−0.278527	−	0.00397678i
$820$	−7.75760	+	15.4932i	−0.270907	+	0.541044i
$821$	2.88569	−	12.6431i	0.100711	−	0.441246i	−0.899281	−	0.437371i	$-0.855910\pi$
$821$	2.88569	−	12.6431i	0.100711	−	0.441246i	0.999992	−	0.00387437i	$-0.00123325\pi$
$822$	10.8588	−	16.9895i	0.378743	−	0.592575i
$823$	1.65466	+	3.43594i	0.0576778	+	0.119769i	0.927815	−	0.373040i	$-0.121684\pi$
$823$	1.65466	+	3.43594i	0.0576778	+	0.119769i	−0.870138	+	0.492809i	$0.835970\pi$
$824$	−11.7818	−	7.78869i	−0.410437	−	0.271332i
$825$	0.748424	−	1.55412i	0.0260568	−	0.0541074i
$826$	−47.6066	−	6.42673i	−1.65644	−	0.223615i
$827$	−10.6077	−	22.0272i	−0.368867	−	0.765960i	0.631086	−	0.775713i	$-0.282610\pi$
$827$	−10.6077	−	22.0272i	−0.368867	−	0.765960i	−0.999952	+	0.00975328i	$0.996895\pi$
$828$	1.43173	−	5.85518i	0.0497559	−	0.203482i
$829$	−21.0114	+	4.79572i	−0.729756	+	0.166562i	−0.571227	−	0.820792i	$-0.693532\pi$
$829$	−21.0114	+	4.79572i	−0.729756	+	0.166562i	−0.158529	+	0.987354i	$0.550675\pi$
$830$	8.40123	−	23.4284i	0.291611	−	0.813212i
$831$	9.19151	−	11.5258i	0.318850	−	0.399825i
$832$	14.1414	+	19.5202i	0.490263	+	0.676742i
$833$	41.9529	+	10.8444i	1.45358	+	0.375737i
$834$	16.4374	−	1.72384i	0.569180	−	0.0596916i
$835$	45.1658	+	36.0185i	1.56303	+	1.24647i
$836$	−1.72555	+	7.05679i	−0.0596792	+	0.244064i
$837$	1.35954	+	5.95653i	0.0469925	+	0.205888i
$838$	37.7411	+	13.5337i	1.30375	+	0.467512i
$839$	5.15186	−	2.48101i	0.177862	−	0.0856539i	−0.342834	−	0.939396i	$-0.611387\pi$
$839$	5.15186	−	2.48101i	0.177862	−	0.0856539i	0.520696	+	0.853742i	$0.325673\pi$
$840$	8.62552	+	14.9400i	0.297609	+	0.515478i
$841$	−40.2541	−	19.3854i	−1.38807	−	0.668461i
$842$	−32.5289	−	33.0343i	−1.12102	−	1.13844i
$843$	6.52165	−	3.14066i	0.224618	−	0.108170i
$844$	10.3396	+	5.17715i	0.355903	+	0.178205i
$845$	8.81375	+	2.01168i	0.303202	+	0.0692039i
$846$	−4.81590	+	7.53488i	−0.165574	+	0.259055i
$847$	−49.4614	+	10.5487i	−1.69952	+	0.362457i
$848$	19.6524	+	10.2221i	0.674865	+	0.351028i
$849$	14.4066	−	6.93786i	0.494434	−	0.238107i
$850$	2.73197	+	0.329166i	0.0937059	+	0.0112903i
$851$		−	9.25798i		−	0.317359i
$852$	−3.58621	−	16.9099i	−0.122862	−	0.579322i
$853$	19.1327	+	4.36692i	0.655092	+	0.149520i	0.537132	−	0.843498i	$-0.319508\pi$
$853$	19.1327	+	4.36692i	0.655092	+	0.149520i	0.117959	+	0.993018i	$0.462365\pi$
$854$	36.0654	+	37.6872i	1.23413	+	1.28963i
$855$	1.48762	−	0.339539i	0.0508755	−	0.0116120i
$856$	35.8801	−	21.4039i	1.22636	−	0.731572i
$857$	−10.8639	+	8.66365i	−0.371103	+	0.295945i	−0.791228	−	0.611522i	$-0.790558\pi$
$857$	−10.8639	+	8.66365i	−0.371103	+	0.295945i	0.420125	+	0.907466i	$0.361986\pi$
$858$	16.4068	+	16.6617i	0.560118	+	0.568820i
$859$	0.520439	+	2.28019i	0.0177571	+	0.0777991i	0.983030	−	0.183444i	$-0.0587247\pi$
$859$	0.520439	+	2.28019i	0.0177571	+	0.0777991i	−0.965273	+	0.261243i	$0.915868\pi$
$860$	−8.24972	−	17.8288i	−0.281313	−	0.607956i
$861$	−6.08769	−	7.86139i	−0.207468	−	0.267915i
$862$	42.5933	+	5.13192i	1.45073	+	0.174794i
$863$		−	0.112886i		−	0.00384268i	−0.999998	−	0.00192134i	$-0.999388\pi$
$863$		−	0.112886i		−	0.00384268i	0.999998	−	0.00192134i	$-0.000611582\pi$
$864$	−4.90221	+	2.82282i	−0.166777	+	0.0960343i
$865$	−0.486155	+	2.12998i	−0.0165298	+	0.0724216i
$866$	8.67814	+	14.0505i	0.294895	+	0.477454i
$867$	13.2924	+	16.6682i	0.451434	+	0.566081i
$868$	29.5315	−	13.1563i	1.00237	−	0.446553i
$869$	−26.7126	+	33.4965i	−0.906163	+	1.13629i
$870$	27.7831	+	3.34749i	0.941935	+	0.113491i
$871$	8.69918	−	10.9084i	0.294760	−	0.369618i
$872$	−25.4883	+	24.3358i	−0.863143	+	0.824116i
$873$	9.65385	−	7.69868i	0.326733	−	0.260561i
$874$	−0.952276	+	2.65560i	−0.0322112	+	0.0898270i
$875$	−5.96097	−	27.9503i	−0.201518	−	0.944892i
$876$	−10.6238	−	13.7515i	−0.358944	−	0.464619i
$877$	−8.34308	−	4.01782i	−0.281726	−	0.135672i	0.287685	−	0.957725i	$-0.407114\pi$
$877$	−8.34308	−	4.01782i	−0.281726	−	0.135672i	−0.569411	+	0.822053i	$0.692829\pi$
$878$	4.49811	+	13.1799i	0.151804	+	0.444800i
$879$	−8.13301	+	16.8884i	−0.274320	+	0.569631i
$880$	12.7759	−	48.9637i	0.430675	−	1.65056i
$881$		−	6.02760i		−	0.203075i	−0.994832	−	0.101538i	$-0.967624\pi$
$881$		−	6.02760i		−	0.203075i	0.994832	−	0.101538i	$-0.0323762\pi$
$882$	−9.87097	+	0.751016i	−0.332373	+	0.0252880i
$883$		−	18.9042i		−	0.636177i	−0.948061	−	0.318088i	$-0.896959\pi$
$883$		−	18.9042i		−	0.636177i	0.948061	−	0.318088i	$-0.103041\pi$
$884$	−16.7014	+	33.3553i	−0.561729	+	1.12186i
$885$	12.8417	−	26.6660i	0.431669	−	0.896369i
$886$	−25.2992	+	8.63425i	−0.849944	+	0.290073i
$887$	8.19824	+	3.94806i	0.275270	+	0.132563i	0.566426	−	0.824113i	$-0.308326\pi$
$887$	8.19824	+	3.94806i	0.275270	+	0.132563i	−0.291156	+	0.956676i	$0.594040\pi$
$888$	−6.28406	+	5.99993i	−0.210879	+	0.201344i
$889$	2.50760	−	10.3060i	0.0841021	−	0.345652i
$890$	−5.05146	−	1.81141i	−0.169325	−	0.0607186i
$891$	−4.29047	+	3.42154i	−0.143736	+	0.114626i
$892$	3.92313	−	3.03083i	0.131356	−	0.101480i
$893$	2.60955	−	3.27227i	0.0873253	−	0.109502i
$894$	−2.75827	+	22.8928i	−0.0922505	+	0.765649i
$895$	22.3275	−	27.9978i	0.746326	−	0.935863i
$896$	19.6735	+	22.5600i	0.657246	+	0.753676i
$897$	5.66180	+	7.09967i	0.189042	+	0.237051i
$898$	36.9267	−	22.8074i	1.23226	−	0.761093i
$899$	11.6698	−	51.1286i	0.389209	−	1.70523i
$900$	−0.614977	+	0.130423i	−0.0204992	+	0.00434744i
$901$			34.2815i			1.14208i
$902$	−3.48884	+	28.9562i	−0.116165	+	0.964136i
$903$	11.2720	+	0.160940i	0.375108	+	0.00535576i
$904$	22.7234	+	38.0919i	0.755768	+	1.26692i
$905$	−10.8770	−	47.6553i	−0.361564	−	1.58412i
$906$	13.7632	−	13.5527i	0.457253	−	0.450257i
$907$	−26.3736	+	21.0322i	−0.875719	+	0.698363i	−0.954398	−	0.298537i	$-0.903501\pi$
$907$	−26.3736	+	21.0322i	−0.875719	+	0.698363i	0.0786786	+	0.996900i	$0.474930\pi$
$908$	−3.16790	−	6.84625i	−0.105130	−	0.227201i
$909$	2.62644	−	0.599468i	0.0871135	−	0.0198831i
$910$	−25.7556	−	3.47692i	−0.853788	−	0.115259i
$911$	−1.10516	−	0.252245i	−0.0366156	−	0.00835727i	0.204174	−	0.978935i	$-0.434549\pi$
$911$	−1.10516	−	0.252245i	−0.0366156	−	0.00835727i	−0.240789	+	0.970577i	$0.577406\pi$
$912$	2.41970	−	1.07467i	0.0801243	−	0.0355858i
$913$		−	41.8951i		−	1.38653i
$914$	−4.16712	+	34.5857i	−0.137836	+	1.14399i
$915$	−28.9559	+	13.9444i	−0.957253	+	0.460989i
$916$	−7.71260	+	9.37119i	−0.254832	+	0.309633i
$917$	5.42020	+	11.6788i	0.178991	+	0.385668i
$918$	−7.37640	−	4.71460i	−0.243458	−	0.155605i
$919$	16.9899	+	3.87783i	0.560445	+	0.127918i	0.493353	−	0.869829i	$-0.335771\pi$
$919$	16.9899	+	3.87783i	0.560445	+	0.127918i	0.0670915	+	0.997747i	$0.478628\pi$
$920$	6.91758	−	18.3934i	0.228066	−	0.606413i
$921$	16.7689	−	8.07548i	0.552554	−	0.266096i
$922$	−23.2060	+	22.8509i	−0.764249	+	0.752556i
$923$	23.4627	+	11.2990i	0.772284	+	0.371912i
$924$	22.1555	+	18.7712i	0.728863	+	0.617526i
$925$	−0.869936	+	0.418939i	−0.0286033	+	0.0137746i
$926$	−16.8948	+	47.1144i	−0.555198	+	1.54828i
$927$	1.11114	+	4.86822i	0.0364946	+	0.159893i
$928$	48.4247	−	3.57321i	1.58962	−	0.117296i
$929$	−26.1732	−	20.8725i	−0.858716	−	0.684803i	0.0916993	−	0.995787i	$-0.470770\pi$
$929$	−26.1732	−	20.8725i	−0.858716	−	0.684803i	−0.950415	+	0.310984i	$0.899342\pi$
$930$	2.07753	+	19.8100i	0.0681249	+	0.649595i
$931$	4.63144	+	0.132281i	0.151789	+	0.00433535i
$932$	−1.17957	+	0.250161i	−0.0386380	+	0.00819429i
$933$	8.68041	−	10.8849i	0.284184	−	0.356355i
$934$	26.3339	+	9.44309i	0.861670	+	0.308987i
$935$	76.3481	−	17.4259i	2.49685	−	0.569889i
$936$	1.14975	−	8.44424i	0.0375809	−	0.276009i
$937$	−13.3499	−	27.7213i	−0.436121	−	0.905614i	−0.996977	−	0.0777009i	$-0.975242\pi$
$937$	−13.3499	−	27.7213i	−0.436121	−	0.905614i	0.560856	−	0.827914i	$-0.310472\pi$
$938$	9.53849	−	14.4645i	0.311443	−	0.472282i
$939$	0.641382	−	1.33184i	0.0209307	−	0.0434631i
$940$	−18.5264	+	22.5104i	−0.604263	+	0.734209i
$941$	−5.91023	−	12.2727i	−0.192668	−	0.400079i	0.782147	−	0.623094i	$-0.214125\pi$
$941$	−5.91023	−	12.2727i	−0.192668	−	0.400079i	−0.974815	+	0.223015i	$0.928410\pi$
$942$	−0.702817	−	0.449203i	−0.0228990	−	0.0146358i
$943$	−2.52032	+	11.0422i	−0.0820729	+	0.359585i
$944$	12.9658	−	49.6915i	0.422000	−	1.61732i
$945$	1.44195	−	5.92630i	0.0469068	−	0.192783i
$946$	−23.2014	−	23.5619i	−0.754343	−	0.766063i
$947$	−22.9406	−	47.6366i	−0.745468	−	1.54798i	−0.833911	−	0.551899i	$-0.813903\pi$
$947$	−22.9406	−	47.6366i	−0.745468	−	1.54798i	0.0884424	−	0.996081i	$-0.471811\pi$
$948$	15.6125	+	0.240728i	0.507071	+	0.00781848i
$949$	26.1791			0.849809
$950$	0.292629	−	0.0306888i	0.00949413	−	0.000995676i
$951$	0.652741	−	2.85985i	0.0211666	−	0.0927368i
$952$	−16.9241	+	43.1215i	−0.548513	+	1.39757i
$953$	−5.41801	−	23.7379i	−0.175507	−	0.768944i	−0.983669	−	0.179985i	$-0.942395\pi$
$953$	−5.41801	−	23.7379i	−0.175507	−	0.768944i	0.808163	−	0.588959i	$-0.200462\pi$
$954$	−2.52964	−	7.41210i	−0.0819002	−	0.239976i
$955$	25.6429	+	32.1552i	0.829784	+	1.04052i
$956$	−13.5625	+	16.4791i	−0.438642	+	0.532971i
$957$	45.9236	−	10.4818i	1.48450	−	0.338827i
$958$	1.00184	+	2.93550i	0.0323681	+	0.0948417i
$959$	15.8800	+	34.2164i	0.512793	+	1.10491i
$960$	−16.9681	+	7.22498i	−0.547643	+	0.233185i
$961$	6.32855			0.204147
$962$	−1.36522	−	13.0179i	−0.0440165	−	0.419713i
$963$	−14.4009	−	3.28690i	−0.464062	−	0.105919i
$964$	10.2794	+	13.3057i	0.331076	+	0.428546i
$965$	−2.71154	+	2.16238i	−0.0872874	+	0.0696094i
$966$	7.79665	+	8.14725i	0.250853	+	0.262133i
$967$	−27.6161	−	22.0231i	−0.888073	−	0.708215i	0.0691375	−	0.997607i	$-0.477975\pi$
$967$	−27.6161	−	22.0231i	−0.888073	−	0.708215i	−0.957211	+	0.289393i	$0.906547\pi$
$968$	−4.80944	−	53.8513i	−0.154581	−	1.73085i
$969$	3.20345	+	2.55466i	0.102910	+	0.0820676i
$970$	34.2495	−	21.1539i	1.09968	−	0.679210i
$971$	−3.11060	−	3.90057i	−0.0998239	−	0.125175i	0.729410	−	0.684076i	$-0.239795\pi$
$971$	−3.11060	−	3.90057i	−0.0998239	−	0.125175i	−0.829234	+	0.558901i	$0.811223\pi$
$972$	1.94276	+	0.475050i	0.0623141	+	0.0152372i
$973$	−13.8121	+	27.6638i	−0.442796	+	0.886859i
$974$	−17.4699	−	28.2848i	−0.559771	−	0.906305i
$975$	0.410922	−	0.853289i	0.0131601	−	0.0273271i
$976$	−44.6502	+	33.4083i	−1.42922	+	1.06938i
$977$	49.1406	+	23.6648i	1.57215	+	0.757105i	0.998094	−	0.0617137i	$-0.0196566\pi$
$977$	49.1406	+	23.6648i	1.57215	+	0.757105i	0.574052	+	0.818819i	$0.305371\pi$
$978$	6.46868	+	4.13444i	0.206846	+	0.132205i
$979$	−9.03312			−0.288700
$980$	−32.2428	−	1.41868i	−1.02996	−	0.0453180i
$981$	12.4594			0.397797
$982$	−6.27065	−	4.00787i	−0.200105	−	0.127896i
$983$	22.7796	+	10.9701i	0.726557	+	0.349891i	0.760329	−	0.649538i	$-0.225038\pi$
$983$	22.7796	+	10.9701i	0.726557	+	0.349891i	−0.0337720	+	0.999430i	$0.510752\pi$
$984$	9.12855	−	5.44555i	0.291007	−	0.173598i
$985$	−20.6929	+	42.9692i	−0.659330	+	1.36911i
$986$	39.4874	+	63.9327i	1.25754	+	2.03603i
$987$	−7.04285	−	15.1751i	−0.224176	−	0.483029i
$988$	−0.947412	+	3.87453i	−0.0301412	+	0.123265i
$989$	−8.00656	−	10.0399i	−0.254594	−	0.319250i
$990$	−15.2216	+	9.40145i	−0.483773	+	0.298798i
$991$	7.76181	+	6.18984i	0.246562	+	0.196627i	0.738971	−	0.673737i	$-0.235312\pi$
$991$	7.76181	+	6.18984i	0.246562	+	0.196627i	−0.492409	+	0.870364i	$0.663884\pi$
$992$	10.1495	+	33.0379i	0.322245	+	1.04895i
$993$	4.20911	+	3.35665i	0.133572	+	0.106520i
$994$	30.2821	+	11.3494i	0.960491	+	0.359981i
$995$	13.7700	−	10.9812i	0.436540	−	0.348129i
$996$	−12.0829	+	9.33469i	−0.382861	+	0.295781i
$997$	19.3362	+	4.41336i	0.612383	+	0.139772i	0.517453	−	0.855711i	$-0.326880\pi$
$997$	19.3362	+	4.41336i	0.612383	+	0.139772i	0.0949300	+	0.995484i	$0.469737\pi$
$998$	4.21318	+	40.1742i	0.133366	+	1.27169i
$999$	3.07182			0.0971880

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.55.20	yes	168
4.3	odd	2		588.2.x.a.55.21	✓	168
49.41	odd	14		588.2.x.a.139.21	yes	168
196.139	even	14	inner	588.2.x.b.139.20	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.21	✓	168	4.3	odd	2
588.2.x.a.139.21	yes	168	49.41	odd	14
588.2.x.b.55.20	yes	168	1.1	even	1	trivial
588.2.x.b.139.20	yes	168	196.139	even	14	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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.761615 - 1.19161i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.839884 - 1.81510i) q^{4} +(-1.00022 + 2.07699i) q^{5} +(1.20321 - 0.743154i) q^{6} +(-0.0377719 + 2.64548i) q^{7} +(-2.80257 - 0.381593i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(0.761615 - 1.19161i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.839884 - 1.81510i) q^{4} +(-1.00022 + 2.07699i) q^{5} +(1.20321 - 0.743154i) q^{6} +(-0.0377719 + 2.64548i) q^{7} +(-2.80257 - 0.381593i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.71318 + 2.77375i) q^{10} +(4.29047 + 3.42154i) q^{11} +(0.0308341 - 1.99976i) q^{12} +(2.35569 + 1.87860i) q^{13} +(3.12362 + 2.05985i) q^{14} +(-1.80234 + 1.43732i) q^{15} +(-2.58919 + 3.04895i) q^{16} +(-6.03506 - 1.37746i) q^{17} +(1.40650 - 0.147504i) q^{18} -0.661904 q^{19} +(4.61002 + 0.0710814i) q^{20} +(-1.18186 + 2.36711i) q^{21} +(7.34484 - 2.50669i) q^{22} +(2.93828 - 0.670643i) q^{23} +(-2.35946 - 1.55979i) q^{24} +(-0.195980 - 0.245751i) q^{25} +(4.03269 - 1.37630i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.83354 - 2.15334i) q^{28} +(1.91004 - 8.36842i) q^{29} +(0.340038 + 3.24238i) q^{30} +6.10971 q^{31} +(1.66120 + 5.40744i) q^{32} +(2.38103 + 4.94427i) q^{33} +(-6.23780 + 6.14236i) q^{34} +(-5.45685 - 2.72453i) q^{35} +(0.895445 - 1.78835i) q^{36} +(0.683544 - 2.99480i) q^{37} +(-0.504116 + 0.788733i) q^{38} +(1.30731 + 2.71465i) q^{39} +(3.59576 - 5.43922i) q^{40} +(-1.63056 + 3.38590i) q^{41} +(1.92055 + 3.21115i) q^{42} +(-1.84871 - 3.83889i) q^{43} +(2.60694 - 10.6613i) q^{44} +(-2.24748 + 0.512974i) q^{45} +(1.43869 - 4.01206i) q^{46} +(-3.94249 + 4.94373i) q^{47} +(-3.65567 + 1.62360i) q^{48} +(-6.99715 - 0.199850i) q^{49} +(-0.442101 + 0.0463644i) q^{50} +(-4.83974 - 3.85957i) q^{51} +(1.43134 - 5.85362i) q^{52} +(-1.23232 - 5.39913i) q^{53} +(1.33121 + 0.477361i) q^{54} +(-11.3979 + 5.48895i) q^{55} +(1.11536 - 7.39973i) q^{56} +(-0.596355 - 0.287189i) q^{57} +(-8.51721 - 8.64954i) q^{58} +(-11.5674 + 5.57055i) q^{59} +(4.12264 + 2.06425i) q^{60} +(13.5918 + 3.10223i) q^{61} +(4.65325 - 7.28041i) q^{62} +(-2.09187 + 1.61990i) q^{63} +(7.70877 + 2.13888i) q^{64} +(-6.25804 + 3.01371i) q^{65} +(7.70509 + 0.928359i) q^{66} -4.63068i q^{67} +(2.56851 + 12.1112i) q^{68} +(2.93828 + 0.670643i) q^{69} +(-7.40261 + 4.42741i) q^{70} +(8.42628 - 1.92324i) q^{71} +(-1.44903 - 2.42906i) q^{72} +(6.79302 - 5.41726i) q^{73} +(-3.04805 - 3.09541i) q^{74} +(-0.0699444 - 0.306446i) q^{75} +(0.555922 + 1.20142i) q^{76} +(-9.21368 + 11.2211i) q^{77} +(4.23048 + 0.509716i) q^{78} +7.80719i q^{79} +(-3.74286 - 8.42735i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(2.79282 + 4.52175i) q^{82} +(-4.75993 - 5.96877i) q^{83} +(5.28917 + 0.157106i) q^{84} +(8.89739 - 11.1570i) q^{85} +(-5.98248 - 0.720809i) q^{86} +(5.35181 - 6.71095i) q^{87} +(-10.7187 - 11.2263i) q^{88} +(-1.28694 + 1.02630i) q^{89} +(-1.10045 + 3.06882i) q^{90} +(-5.05878 + 6.16097i) q^{91} +(-3.68510 - 4.77001i) q^{92} +(5.50466 + 2.65090i) q^{93} +(2.88835 + 8.46314i) q^{94} +(0.662053 - 1.37477i) q^{95} +(-0.849511 + 5.59270i) q^{96} -12.3477i q^{97} +(-5.56728 + 8.18568i) q^{98} +5.48772i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Introduction

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