LMFDB - Embedded newform 55.2.j.a.9.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [55,2,Mod(4,55)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(55, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 2]))

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

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

chi := DirichletCharacter("55.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 55 = 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	55.j (of order $10$, degree $4$, 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:	$0.439177211117$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 $ x^16 - 7x^14 + 25x^12 - 57x^10 + 194x^8 - 303x^6 + 235x^4 - 33*x^2 + 121
Coefficient ring:	$\Z[a_1, \ldots, a_{4}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			9.3
Root			$0.471815 + 0.649397i$ of defining polynomial
Character	$\chi$	$=$	55.9
Dual form			55.2.j.a.49.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.763412 + 0.248048i) q^{2} +(1.03494 + 1.42447i) q^{3} +(-1.09676 - 0.796845i) q^{4} +(-2.16717 - 0.550792i) q^{5} +(0.436748 + 1.34417i) q^{6} +(0.348029 - 0.479022i) q^{7} +(-1.58326 - 2.17917i) q^{8} +(-0.0309674 + 0.0953077i) q^{9} +O(q^{10})$	\(q+(0.763412 + 0.248048i) q^{2} +(1.03494 + 1.42447i) q^{3} +(-1.09676 - 0.796845i) q^{4} +(-2.16717 - 0.550792i) q^{5} +(0.436748 + 1.34417i) q^{6} +(0.348029 - 0.479022i) q^{7} +(-1.58326 - 2.17917i) q^{8} +(-0.0309674 + 0.0953077i) q^{9} +(-1.51782 - 0.958043i) q^{10} +(1.96213 + 2.67395i) q^{11} -2.38699i q^{12} +(1.70704 + 0.554651i) q^{13} +(0.384510 - 0.279363i) q^{14} +(-1.45830 - 3.65711i) q^{15} +(0.169713 + 0.522322i) q^{16} +(-6.73074 + 2.18695i) q^{17} +(-0.0472817 + 0.0650777i) q^{18} +(-1.85009 + 1.34417i) q^{19} +(1.93798 + 2.33099i) q^{20} +1.04254 q^{21} +(0.834650 + 2.52803i) q^{22} -1.49081i q^{23} +(1.46558 - 4.51060i) q^{24} +(4.39326 + 2.38732i) q^{25} +(1.16560 + 0.846855i) q^{26} +(4.85588 - 1.57777i) q^{27} +(-0.763412 + 0.248048i) q^{28} +(2.89263 + 2.10162i) q^{29} +(-0.206148 - 3.15361i) q^{30} +(1.90578 - 5.86539i) q^{31} +5.82804i q^{32} +(-1.77828 + 5.56238i) q^{33} -5.68079 q^{34} +(-1.01808 + 0.846429i) q^{35} +(0.109909 - 0.0798539i) q^{36} +(4.31283 - 5.93610i) q^{37} +(-1.74580 + 0.567246i) q^{38} +(0.976598 + 3.00566i) q^{39} +(2.23092 + 5.59467i) q^{40} +(-6.80400 + 4.94339i) q^{41} +(0.795888 + 0.258600i) q^{42} -9.51936i q^{43} +(-0.0212704 - 4.49621i) q^{44} +(0.119606 - 0.189492i) q^{45} +(0.369792 - 1.13810i) q^{46} +(-1.13540 - 1.56274i) q^{47} +(-0.568389 + 0.782321i) q^{48} +(2.05478 + 6.32397i) q^{49} +(2.76170 + 2.91225i) q^{50} +(-10.0811 - 7.32438i) q^{51} +(-1.43025 - 1.96857i) q^{52} +(-2.26628 - 0.736359i) q^{53} +4.09840 q^{54} +(-2.77949 - 6.87564i) q^{55} -1.59489 q^{56} +(-3.82947 - 1.24427i) q^{57} +(1.68697 + 2.32192i) q^{58} +(-0.0309674 - 0.0224991i) q^{59} +(-1.31474 + 5.17302i) q^{60} +(-1.06351 - 3.27314i) q^{61} +(2.90979 - 4.00499i) q^{62} +(0.0348769 + 0.0480039i) q^{63} +(-1.10621 + 3.40455i) q^{64} +(-3.39395 - 2.14225i) q^{65} +(-2.73729 + 3.80529i) q^{66} +6.79162i q^{67} +(9.12469 + 2.96479i) q^{68} +(2.12361 - 1.54290i) q^{69} +(-0.987170 + 0.393642i) q^{70} +(-3.64439 - 11.2163i) q^{71} +(0.256721 - 0.0834136i) q^{72} +(-4.01031 + 5.51972i) q^{73} +(4.76490 - 3.46191i) q^{74} +(1.14608 + 8.72879i) q^{75} +3.10021 q^{76} +(1.96376 - 0.00929006i) q^{77} +2.53680i q^{78} +(-1.39863 + 4.30453i) q^{79} +(-0.0801054 - 1.22544i) q^{80} +(7.51625 + 5.46087i) q^{81} +(-6.42045 + 2.08613i) q^{82} +(5.65177 - 1.83637i) q^{83} +(-1.14342 - 0.830744i) q^{84} +(15.7912 - 1.03225i) q^{85} +(2.36125 - 7.26720i) q^{86} +6.29552i q^{87} +(2.72042 - 8.50937i) q^{88} +6.21375 q^{89} +(0.138312 - 0.114992i) q^{90} +(0.859791 - 0.624675i) q^{91} +(-1.18795 + 1.63507i) q^{92} +(10.3274 - 3.35559i) q^{93} +(-0.479142 - 1.47465i) q^{94} +(4.74983 - 1.89403i) q^{95} +(-8.30186 + 6.03166i) q^{96} +(-5.11260 - 1.66119i) q^{97} +5.33748i q^{98} +(-0.315611 + 0.104201i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9}+O(q^{10}) $ 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9	$ 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9} - 6 q^{11} - 12 q^{14} - 16 q^{15} + 16 q^{16} + 6 q^{19} - 8 q^{20} + 8 q^{21} + 6 q^{24} - 16 q^{25} + 40 q^{26} + 2 q^{29} + 26 q^{30} + 8 q^{31} - 16 q^{34} + 22 q^{35} + 10 q^{36} + 30 q^{39} + 12 q^{40} - 52 q^{41} + 4 q^{44} + 12 q^{45} - 62 q^{46} - 10 q^{49} + 28 q^{50} - 42 q^{51} - 40 q^{54} - 8 q^{55} - 20 q^{56} + 2 q^{59} - 32 q^{60} - 40 q^{61} - 8 q^{64} - 40 q^{65} + 58 q^{66} + 26 q^{69} - 34 q^{70} + 36 q^{71} + 48 q^{74} - 20 q^{75} + 56 q^{76} + 38 q^{79} + 34 q^{80} + 68 q^{81} + 12 q^{84} + 58 q^{85} + 22 q^{86} + 24 q^{89} + 78 q^{90} - 20 q^{91} + 14 q^{94} + 48 q^{95} - 86 q^{96} - 72 q^{99}+O(q^{100}) $ 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9 - 6 * q^11 - 12 * q^14 - 16 * q^15 + 16 * q^16 + 6 * q^19 - 8 * q^20 + 8 * q^21 + 6 * q^24 - 16 * q^25 + 40 * q^26 + 2 * q^29 + 26 * q^30 + 8 * q^31 - 16 * q^34 + 22 * q^35 + 10 * q^36 + 30 * q^39 + 12 * q^40 - 52 * q^41 + 4 * q^44 + 12 * q^45 - 62 * q^46 - 10 * q^49 + 28 * q^50 - 42 * q^51 - 40 * q^54 - 8 * q^55 - 20 * q^56 + 2 * q^59 - 32 * q^60 - 40 * q^61 - 8 * q^64 - 40 * q^65 + 58 * q^66 + 26 * q^69 - 34 * q^70 + 36 * q^71 + 48 * q^74 - 20 * q^75 + 56 * q^76 + 38 * q^79 + 34 * q^80 + 68 * q^81 + 12 * q^84 + 58 * q^85 + 22 * q^86 + 24 * q^89 + 78 * q^90 - 20 * q^91 + 14 * q^94 + 48 * q^95 - 86 * q^96 - 72 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/55\mathbb{Z}\right)^\times$.

$n$	$12$	$46$
$\chi(n)$	$-1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.763412	+	0.248048i	0.539814	+	0.175396i	0.566219	−	0.824255i	$-0.308406\pi$
$2$	0.763412	+	0.248048i	0.539814	+	0.175396i	−0.0264046	+	0.999651i	$0.508406\pi$
$3$	1.03494	+	1.42447i	0.597522	+	0.822418i	0.995479	−	0.0949859i	$-0.0302806\pi$
$3$	1.03494	+	1.42447i	0.597522	+	0.822418i	−0.397957	+	0.917404i	$0.630281\pi$
$4$	−1.09676	−	0.796845i	−0.548382	−	0.398423i
$5$	−2.16717	−	0.550792i	−0.969188	−	0.246322i
$5$	−2.16717	−	0.550792i	−0.969188	−	0.246322i
$6$	0.436748	+	1.34417i	0.178302	+	0.548756i
$7$	0.348029	−	0.479022i	0.131543	−	0.181053i	−0.738165	−	0.674620i	$-0.764307\pi$
$7$	0.348029	−	0.479022i	0.131543	−	0.181053i	0.869708	+	0.493567i	$0.164307\pi$
$8$	−1.58326	−	2.17917i	−0.559766	−	0.770451i
$9$	−0.0309674	+	0.0953077i	−0.0103225	+	0.0317692i
$10$	−1.51782	−	0.958043i	−0.479977	−	0.302960i
$11$	1.96213	+	2.67395i	0.591606	+	0.806227i
$11$	1.96213	+	2.67395i	0.591606	+	0.806227i
$12$		−	2.38699i		−	0.689065i
$13$	1.70704	+	0.554651i	0.473448	+	0.153833i	0.536016	−	0.844208i	$-0.319929\pi$
$13$	1.70704	+	0.554651i	0.473448	+	0.153833i	−0.0625674	+	0.998041i	$0.519929\pi$
$14$	0.384510	−	0.279363i	0.102765	−	0.0746629i
$15$	−1.45830	−	3.65711i	−0.376532	−	0.944261i
$16$	0.169713	+	0.522322i	0.0424281	+	0.130580i
$17$	−6.73074	+	2.18695i	−1.63244	+	0.530413i	−0.974831	−	0.222944i	$-0.928433\pi$
$17$	−6.73074	+	2.18695i	−1.63244	+	0.530413i	−0.657612	+	0.753357i	$0.728433\pi$
$18$	−0.0472817	+	0.0650777i	−0.0111444	+	0.0153390i
$19$	−1.85009	+	1.34417i	−0.424441	+	0.308374i	−0.779422	−	0.626499i	$-0.784487\pi$
$19$	−1.85009	+	1.34417i	−0.424441	+	0.308374i	0.354981	+	0.934873i	$0.384487\pi$
$20$	1.93798	+	2.33099i	0.433345	+	0.521225i
$21$	1.04254			0.227501
$22$	0.834650	+	2.52803i	0.177948	+	0.538978i
$23$		−	1.49081i		−	0.310855i	−0.987847	−	0.155428i	$-0.950324\pi$
$23$		−	1.49081i		−	0.310855i	0.987847	−	0.155428i	$-0.0496756\pi$
$24$	1.46558	−	4.51060i	0.299161	−	0.920723i
$25$	4.39326	+	2.38732i	0.878651	+	0.477464i
$26$	1.16560	+	0.846855i	0.228592	+	0.166082i
$27$	4.85588	−	1.57777i	0.934515	−	0.303642i
$28$	−0.763412	+	0.248048i	−0.144271	+	0.0468766i
$29$	2.89263	+	2.10162i	0.537149	+	0.390261i	0.823025	−	0.568005i	$-0.192285\pi$
$29$	2.89263	+	2.10162i	0.537149	+	0.390261i	−0.285876	+	0.958267i	$0.592285\pi$
$30$	−0.206148	−	3.15361i	−0.0376372	−	0.575767i
$31$	1.90578	−	5.86539i	0.342288	−	1.05346i	−0.620731	−	0.784023i	$-0.713164\pi$
$31$	1.90578	−	5.86539i	0.342288	−	1.05346i	0.963020	−	0.269432i	$-0.0868358\pi$
$32$			5.82804i			1.03026i
$33$	−1.77828	+	5.56238i	−0.309559	+	0.968286i
$34$	−5.68079			−0.974248
$35$	−1.01808	+	0.846429i	−0.172087	+	0.143073i
$36$	0.109909	−	0.0798539i	0.0183182	−	0.0133090i
$37$	4.31283	−	5.93610i	0.709025	−	0.975889i	−0.290792	−	0.956786i	$-0.593919\pi$
$37$	4.31283	−	5.93610i	0.709025	−	0.975889i	0.999818	−	0.0191031i	$-0.00608108\pi$
$38$	−1.74580	+	0.567246i	−0.283207	+	0.0920194i
$39$	0.976598	+	3.00566i	0.156381	+	0.481291i
$40$	2.23092	+	5.59467i	0.352739	+	0.884595i
$41$	−6.80400	+	4.94339i	−1.06261	+	0.772028i	−0.974569	−	0.224089i	$-0.928059\pi$
$41$	−6.80400	+	4.94339i	−1.06261	+	0.772028i	−0.0880369	+	0.996117i	$0.528059\pi$
$42$	0.795888	+	0.258600i	0.122808	+	0.0399028i
$43$		−	9.51936i		−	1.45169i	−0.687859	−	0.725844i	$-0.741449\pi$
$43$		−	9.51936i		−	1.45169i	0.687859	−	0.725844i	$-0.258551\pi$
$44$	−0.0212704	−	4.49621i	−0.00320664	−	0.677830i
$45$	0.119606	−	0.189492i	0.0178299	−	0.0282477i
$46$	0.369792	−	1.13810i	0.0545228	−	0.167804i
$47$	−1.13540	−	1.56274i	−0.165615	−	0.227949i	0.718141	−	0.695898i	$-0.244993\pi$
$47$	−1.13540	−	1.56274i	−0.165615	−	0.227949i	−0.883756	+	0.467948i	$0.844993\pi$
$48$	−0.568389	+	0.782321i	−0.0820400	+	0.112918i
$49$	2.05478	+	6.32397i	0.293540	+	0.903424i
$50$	2.76170	+	2.91225i	0.390563	+	0.411854i
$51$	−10.0811	−	7.32438i	−1.41164	−	1.02562i
$52$	−1.43025	−	1.96857i	−0.198340	−	0.272991i
$53$	−2.26628	−	0.736359i	−0.311298	−	0.101147i	0.149202	−	0.988807i	$-0.452330\pi$
$53$	−2.26628	−	0.736359i	−0.311298	−	0.101147i	−0.460499	+	0.887660i	$0.652330\pi$
$54$	4.09840			0.557722
$55$	−2.77949	−	6.87564i	−0.374786	−	0.927111i
$56$	−1.59489			−0.213126
$57$	−3.82947	−	1.24427i	−0.507225	−	0.164807i
$58$	1.68697	+	2.32192i	0.221510	+	0.304882i
$59$	−0.0309674	−	0.0224991i	−0.00403161	−	0.00292913i	0.585768	−	0.810479i	$-0.300793\pi$
$59$	−0.0309674	−	0.0224991i	−0.00403161	−	0.00292913i	−0.589799	+	0.807550i	$0.700793\pi$
$60$	−1.31474	+	5.17302i	−0.169732	+	0.667834i
$61$	−1.06351	−	3.27314i	−0.136168	−	0.419082i	0.859602	−	0.510965i	$-0.170712\pi$
$61$	−1.06351	−	3.27314i	−0.136168	−	0.419082i	−0.995770	+	0.0918822i	$0.970712\pi$
$62$	2.90979	−	4.00499i	0.369544	−	0.508634i
$63$	0.0348769	+	0.0480039i	0.00439408	+	0.00604793i
$64$	−1.10621	+	3.40455i	−0.138276	+	0.425569i
$65$	−3.39395	−	2.14225i	−0.420968	−	0.265713i
$66$	−2.73729	+	3.80529i	−0.336938	+	0.468399i
$67$			6.79162i			0.829728i	0.909883	+	0.414864i	$0.136171\pi$
$67$			6.79162i			0.829728i	−0.909883	+	0.414864i	$0.863829\pi$
$68$	9.12469	+	2.96479i	1.10653	+	0.359534i
$69$	2.12361	−	1.54290i	0.255653	−	0.185743i
$70$	−0.987170	+	0.393642i	−0.117989	+	0.0470492i
$71$	−3.64439	−	11.2163i	−0.432510	−	1.33113i	−0.895617	−	0.444826i	$-0.853265\pi$
$71$	−3.64439	−	11.2163i	−0.432510	−	1.33113i	0.463107	−	0.886302i	$-0.346735\pi$
$72$	0.256721	−	0.0834136i	0.0302548	−	0.00983038i
$73$	−4.01031	+	5.51972i	−0.469372	+	0.646035i	−0.976419	−	0.215884i	$-0.930737\pi$
$73$	−4.01031	+	5.51972i	−0.469372	+	0.646035i	0.507048	+	0.861918i	$0.330737\pi$
$74$	4.76490	−	3.46191i	0.553909	−	0.402438i
$75$	1.14608	+	8.72879i	0.132338	+	1.00791i
$76$	3.10021			0.355619
$77$	1.96376	−	0.00929006i	0.223791	−	0.00105870i
$78$			2.53680i			0.287236i
$79$	−1.39863	+	4.30453i	−0.157358	+	0.484298i	−0.998392	−	0.0566840i	$-0.981947\pi$
$79$	−1.39863	+	4.30453i	−0.157358	+	0.484298i	0.841034	+	0.540982i	$0.181947\pi$
$80$	−0.0801054	−	1.22544i	−0.00895605	−	0.137008i
$81$	7.51625	+	5.46087i	0.835139	+	0.606764i
$82$	−6.42045	+	2.08613i	−0.709020	+	0.230375i
$83$	5.65177	−	1.83637i	0.620363	−	0.201568i	0.0180613	−	0.999837i	$-0.494251\pi$
$83$	5.65177	−	1.83637i	0.620363	−	0.201568i	0.602301	+	0.798269i	$0.294251\pi$
$84$	−1.14342	−	0.830744i	−0.124757	−	0.0906416i
$85$	15.7912	−	1.03225i	1.71280	−	0.111964i
$86$	2.36125	−	7.26720i	0.254621	−	0.783642i
$87$			6.29552i			0.674951i
$88$	2.72042	−	8.50937i	0.289998	−	0.907102i
$89$	6.21375			0.658656			0.329328	−	0.944216i	$-0.393178\pi$
$89$	6.21375			0.658656			0.329328	+	0.944216i	$0.393178\pi$
$90$	0.138312	−	0.114992i	0.0145793	−	0.0121212i
$91$	0.859791	−	0.624675i	0.0901306	−	0.0654837i
$92$	−1.18795	+	1.63507i	−0.123852	+	0.170467i
$93$	10.3274	−	3.35559i	1.07091	−	0.347958i
$94$	−0.479142	−	1.47465i	−0.0494197	−	0.152098i
$95$	4.74983	−	1.89403i	0.487322	−	0.194324i
$96$	−8.30186	+	6.03166i	−0.847305	+	0.615603i
$97$	−5.11260	−	1.66119i	−0.519106	−	0.168668i	0.0377334	−	0.999288i	$-0.487986\pi$
$97$	−5.11260	−	1.66119i	−0.519106	−	0.168668i	−0.556840	+	0.830620i	$0.687986\pi$
$98$			5.33748i			0.539167i
$99$	−0.315611	+	0.104201i	−0.0317201	+	0.0104726i
$100$	−2.91604	−	6.11907i	−0.291604	−	0.611907i
$101$	−3.06894	+	9.44523i	−0.305371	+	0.939835i	0.674167	+	0.738579i	$0.264503\pi$
$101$	−3.06894	+	9.44523i	−0.305371	+	0.939835i	−0.979538	+	0.201257i	$0.935497\pi$
$102$	−5.87927	−	8.09212i	−0.582135	−	0.801239i
$103$	−7.94766	+	10.9390i	−0.783107	+	1.07785i	0.211826	+	0.977307i	$0.432059\pi$
$103$	−7.94766	+	10.9390i	−0.783107	+	1.07785i	−0.994932	+	0.100546i	$0.967941\pi$
$104$	−1.49401	−	4.59808i	−0.146499	−	0.450879i
$105$	−2.25936	−	0.574223i	−0.220491	−	0.0560385i
$106$	−1.54745	−	1.12429i	−0.150302	−	0.109201i
$107$	3.29418	+	4.53405i	0.318461	+	0.438323i	0.937996	−	0.346645i	$-0.112679\pi$
$107$	3.29418	+	4.53405i	0.318461	+	0.438323i	−0.619536	+	0.784968i	$0.712679\pi$
$108$	−6.58300	−	2.13895i	−0.633449	−	0.205820i
$109$	−18.6001			−1.78157			−0.890784	−	0.454428i	$-0.849844\pi$
$109$	−18.6001			−1.78157			−0.890784	+	0.454428i	$0.849844\pi$
$110$	−0.416408	−	5.93839i	−0.0397029	−	0.566204i
$111$	12.9193			1.22625
$112$	0.309268	+	0.100487i	0.0292231	+	0.00949516i
$113$	−6.93668	−	9.54752i	−0.652548	−	0.898155i	0.346658	−	0.937992i	$-0.387316\pi$
$113$	−6.93668	−	9.54752i	−0.652548	−	0.898155i	−0.999206	+	0.0398362i	$0.987316\pi$
$114$	−2.61482	−	1.89978i	−0.244901	−	0.177931i
$115$	−0.821127	+	3.23084i	−0.0765705	+	0.301277i
$116$	−1.49787	−	4.60997i	−0.139074	−	0.428025i
$117$	−0.105725	+	0.145518i	−0.00977429	+	0.0134532i
$118$	−0.0180600	−	0.0248575i	−0.00166256	−	0.00228832i
$119$	−1.29490	+	3.98529i	−0.118703	+	0.365331i
$120$	−5.66057	+	8.96801i	−0.516737	+	0.818664i
$121$	−3.30005	+	10.4933i	−0.300005	+	0.953938i
$122$		−	2.76255i		−	0.250110i
$123$	−14.0834	−	4.57598i	−1.26986	−	0.412603i
$124$	−6.76400	+	4.91433i	−0.607425	+	0.441320i
$125$	−8.20602	−	7.59350i	−0.733968	−	0.679184i
$126$	0.0147182	+	0.0452979i	0.00131120	+	0.00403546i
$127$	15.2707	−	4.96177i	1.35506	−	0.440286i	0.460669	−	0.887572i	$-0.347610\pi$
$127$	15.2707	−	4.96177i	1.35506	−	0.440286i	0.894391	+	0.447287i	$0.147610\pi$
$128$	5.16229	−	7.10528i	0.456286	−	0.628024i
$129$	13.5600	−	9.85195i	1.19390	−	0.867416i
$130$	−2.05960	−	2.47728i	−0.180639	−	0.217272i
$131$	18.0296			1.57525			0.787625	−	0.616154i	$-0.211310\pi$
$131$	18.0296			1.57525			0.787625	+	0.616154i	$0.211310\pi$
$132$	6.38271	−	4.68360i	0.555543	−	0.407655i
$133$			1.35405i			0.117411i
$134$	−1.68464	+	5.18480i	−0.145531	+	0.447899i
$135$	−11.3926	+	0.744718i	−0.980515	+	0.0640951i
$136$	15.4222	+	11.2049i	1.32244	+	0.960811i
$137$	3.83473	−	1.24598i	0.327623	−	0.106451i	−0.140587	−	0.990068i	$-0.544899\pi$
$137$	3.83473	−	1.24598i	0.327623	−	0.106451i	0.468210	+	0.883617i	$0.344899\pi$
$138$	2.00390	−	0.651108i	0.170584	−	0.0554260i
$139$	6.41949	+	4.66403i	0.544494	+	0.395598i	0.825751	−	0.564035i	$-0.190752\pi$
$139$	6.41949	+	4.66403i	0.544494	+	0.395598i	−0.281258	+	0.959632i	$0.590752\pi$
$140$	1.79107	−	0.117080i	0.151373	−	0.00989507i
$141$	1.05101	−	3.23468i	0.0885111	−	0.272409i
$142$		−	9.46663i		−	0.794422i
$143$	1.86633	+	5.65285i	0.156071	+	0.472715i
$144$	−0.0550368			−0.00458640
$145$	−5.11128	−	6.14781i	−0.424468	−	0.510548i
$146$	−4.43068	+	3.21907i	−0.366685	+	0.266412i
$147$	−6.88173	+	9.47189i	−0.567596	+	0.781228i
$148$	−9.46031	+	3.07384i	−0.777633	+	0.252668i
$149$	−3.86298	−	11.8890i	−0.316468	−	0.973988i	−0.975146	−	0.221563i	$-0.928884\pi$
$149$	−3.86298	−	11.8890i	−0.316468	−	0.973988i	0.658678	−	0.752425i	$-0.271116\pi$
$150$	−1.29023	+	6.94795i	−0.105346	+	0.567298i
$151$	−6.79775	+	4.93885i	−0.553193	+	0.401918i	−0.828961	−	0.559306i	$-0.811068\pi$
$151$	−6.79775	+	4.93885i	−0.553193	+	0.401918i	0.275768	+	0.961224i	$0.411068\pi$
$152$	5.85835	+	1.90349i	0.475175	+	0.154394i
$153$		−	0.709215i		−	0.0573367i
$154$	1.50146	+	0.480014i	0.120991	+	0.0386807i
$155$	−7.36076	+	11.6616i	−0.591231	+	0.936683i
$156$	1.32395	−	4.07470i	0.106001	−	0.326237i
$157$	8.22657	+	11.3229i	0.656552	+	0.903666i	0.999361	−	0.0357391i	$-0.0113785\pi$
$157$	8.22657	+	11.3229i	0.656552	+	0.903666i	−0.342809	+	0.939405i	$0.611379\pi$
$158$	−2.13546	+	2.93921i	−0.169888	+	0.233831i
$159$	−1.29654	−	3.99034i	−0.102822	−	0.316454i
$160$	3.21004	−	12.6303i	0.253776	−	0.998517i
$161$	−0.714130	−	0.518846i	−0.0562813	−	0.0408908i
$162$	4.38344	+	6.03329i	0.344395	+	0.474020i
$163$	11.2619	+	3.65922i	0.882101	+	0.286612i	0.714830	−	0.699299i	$-0.246504\pi$
$163$	11.2619	+	3.65922i	0.882101	+	0.286612i	0.167272	+	0.985911i	$0.446504\pi$
$164$	11.4015			0.890307
$165$	6.91755	−	11.0752i	0.538530	−	0.862200i
$166$	4.77014			0.370235
$167$	−8.29919	−	2.69657i	−0.642210	−	0.208667i	−0.0302340	−	0.999543i	$-0.509625\pi$
$167$	−8.29919	−	2.69657i	−0.642210	−	0.208667i	−0.611976	+	0.790876i	$0.709625\pi$
$168$	−1.65061	−	2.27187i	−0.127347	−	0.175278i
$169$	−7.91087	−	5.74758i	−0.608528	−	0.442122i
$170$	12.3112	+	3.12894i	0.944230	+	0.239979i
$171$	−0.0708175	−	0.217954i	−0.00541555	−	0.0166673i
$172$	−7.58546	+	10.4405i	−0.578386	+	0.796080i
$173$	5.39505	+	7.42565i	0.410178	+	0.564562i	0.963262	−	0.268564i	$-0.0865490\pi$
$173$	5.39505	+	7.42565i	0.410178	+	0.564562i	−0.553084	+	0.833126i	$0.686549\pi$
$174$	−1.56159	+	4.80608i	−0.118384	+	0.364348i
$175$	2.67256	−	1.27361i	0.202027	−	0.0962755i
$176$	−1.06366	+	1.47867i	−0.0801767	+	0.111459i
$177$		−	0.0673973i		−	0.00506589i
$178$	4.74365	+	1.54130i	0.355552	+	0.115526i
$179$	1.17159	−	0.851209i	0.0875687	−	0.0636224i	−0.543139	−	0.839642i	$-0.682765\pi$
$179$	1.17159	−	0.851209i	0.0875687	−	0.0636224i	0.630708	+	0.776020i	$0.282765\pi$
$180$	−0.282175	+	0.112520i	−0.0210321	+	0.00838672i
$181$	0.245206	+	0.754665i	0.0182260	+	0.0560938i	0.959756	−	0.280836i	$-0.0906116\pi$
$181$	0.245206	+	0.754665i	0.0182260	+	0.0560938i	−0.941530	+	0.336930i	$0.890612\pi$
$182$	0.811324	−	0.263615i	0.0601393	−	0.0195404i
$183$	3.56182	−	4.90243i	0.263298	−	0.362398i
$184$	−3.24872	+	2.36033i	−0.239499	+	0.174006i
$185$	−12.6162	+	10.4891i	−0.927561	+	0.771172i
$186$	8.71644			0.639120
$187$	−19.0544	−	13.7066i	−1.39340	−	1.00233i
$188$			2.61869i			0.190988i
$189$	0.934204	−	2.87518i	0.0679533	−	0.209139i
$190$	4.09589	−	0.267743i	0.297147	−	0.0194242i
$191$	6.59373	+	4.79062i	0.477105	+	0.346637i	0.800204	−	0.599728i	$-0.204725\pi$
$191$	6.59373	+	4.79062i	0.477105	+	0.346637i	−0.323099	+	0.946365i	$0.604725\pi$
$192$	−5.99454	+	1.94774i	−0.432618	+	0.140566i
$193$	4.15456	−	1.34990i	0.299052	−	0.0971678i	−0.155648	−	0.987813i	$-0.549747\pi$
$193$	4.15456	−	1.34990i	0.299052	−	0.0971678i	0.454700	+	0.890645i	$0.349747\pi$
$194$	−3.49097	−	2.53634i	−0.250637	−	0.182098i
$195$	−0.460960	−	7.05168i	−0.0330101	−	0.504981i
$196$	2.78561	−	8.57324i	0.198972	−	0.612374i
$197$		−	15.6525i		−	1.11520i	−0.830111	−	0.557599i	$-0.811723\pi$
$197$		−	15.6525i		−	1.11520i	0.830111	−	0.557599i	$-0.188277\pi$
$198$	−0.266788	+	0.00126211i	−0.0189598	+	8.96940e-5i
$199$	−1.43830			−0.101959			−0.0509793	−	0.998700i	$-0.516234\pi$
$199$	−1.43830			−0.101959			−0.0509793	+	0.998700i	$0.516234\pi$
$200$	−1.75328	−	13.3534i	−0.123976	−	0.944226i
$201$	−9.67446	+	7.02890i	−0.682383	+	0.495781i
$202$	−4.68573	+	6.44936i	−0.329687	+	0.453775i
$203$	2.01344	−	0.654208i	0.141316	−	0.0459164i
$204$	5.22023	+	16.0662i	0.365489	+	1.12486i
$205$	17.4682	−	6.96559i	1.22003	−	0.486498i
$206$	−8.78074	+	6.37958i	−0.611783	+	0.444486i
$207$	0.142086	+	0.0461665i	0.00987564	+	0.00320879i
$208$			0.985756i			0.0683499i
$209$	−7.22439	−	2.30962i	−0.499721	−	0.159760i
$210$	−1.58239	−	0.998799i	−0.109195	−	0.0689237i
$211$	2.68267	−	8.25641i	0.184683	−	0.568395i	−0.815260	−	0.579095i	$-0.803406\pi$
$211$	2.68267	−	8.25641i	0.184683	−	0.568395i	0.999943	+	0.0107002i	$0.00340605\pi$
$212$	1.89881	+	2.61349i	0.130411	+	0.179495i
$213$	12.2055	−	16.7995i	0.836310	−	1.15108i
$214$	1.39016	+	4.27846i	0.0950292	+	0.292470i
$215$	−5.24319	+	20.6301i	−0.357583	+	1.40696i
$216$	−11.1263	−	8.08375i	−0.757051	−	0.550030i
$217$	−2.14638	−	2.95424i	−0.145706	−	0.200547i
$218$	−14.1995	−	4.61371i	−0.961715	−	0.312480i
$219$	−12.0131			−0.811770
$220$	−2.43038	+	9.75577i	−0.163856	+	0.657734i
$221$	−12.7026			−0.854472
$222$	9.86276	+	3.20461i	0.661945	+	0.215079i
$223$	3.70660	+	5.10169i	0.248212	+	0.341635i	0.914884	−	0.403717i	$-0.132282\pi$
$223$	3.70660	+	5.10169i	0.248212	+	0.341635i	−0.666672	+	0.745351i	$0.732282\pi$
$224$	2.79175	+	2.02833i	0.186532	+	0.135523i
$225$	−0.363578	+	0.344782i	−0.0242385	+	0.0229855i
$226$	−2.92731	−	9.00932i	−0.194721	−	0.599291i
$227$	0.656444	−	0.903517i	0.0435697	−	0.0599686i	−0.786676	−	0.617366i	$-0.788200\pi$
$227$	0.656444	−	0.903517i	0.0435697	−	0.0599686i	0.830246	+	0.557397i	$0.188200\pi$
$228$	3.20853	+	4.41616i	0.212490	+	0.292467i
$229$	1.29669	−	3.99079i	0.0856874	−	0.263719i	−0.899028	−	0.437892i	$-0.855725\pi$
$229$	1.29669	−	3.99079i	0.0856874	−	0.263719i	0.984715	+	0.174173i	$0.0557253\pi$
$230$	−1.42826	+	2.26278i	−0.0941767	+	0.149204i
$231$	2.04561	+	2.78771i	0.134591	+	0.183418i
$232$		−	9.63094i		−	0.632302i
$233$	−6.44766	−	2.09497i	−0.422400	−	0.137246i	0.0901010	−	0.995933i	$-0.471281\pi$
$233$	−6.44766	−	2.09497i	−0.422400	−	0.137246i	−0.512501	+	0.858686i	$0.671281\pi$
$234$	−0.116807	+	0.0848655i	−0.00763593	+	0.00554783i
$235$	1.59985	+	4.01209i	0.104363	+	0.261720i
$236$	0.0160356	+	0.0493524i	0.00104383	+	0.00321257i
$237$	−7.57917	+	2.46262i	−0.492320	+	0.159965i
$238$	−1.97708	+	2.72122i	−0.128155	+	0.176391i
$239$	3.55812	−	2.58513i	0.230156	−	0.167218i	−0.466731	−	0.884400i	$-0.654568\pi$
$239$	3.55812	−	2.58513i	0.230156	−	0.167218i	0.696886	+	0.717182i	$0.254568\pi$
$240$	1.66269	−	1.38236i	0.107326	−	0.0892309i
$241$	−9.61218			−0.619175			−0.309587	−	0.950871i	$-0.600191\pi$
$241$	−9.61218			−0.619175			−0.309587	+	0.950871i	$0.600191\pi$
$242$	−5.12214	+	7.19215i	−0.329264	+	0.462329i
$243$			1.04101i			0.0667807i
$244$	−1.44177	+	4.43731i	−0.0922998	+	0.284070i
$245$	−0.969870	−	14.8369i	−0.0619627	−	0.947893i
$246$	−9.61640	−	6.98672i	−0.613119	−	0.445457i
$247$	−3.90373	+	1.26840i	−0.248389	+	0.0807064i
$248$	−15.7990	+	5.13340i	−1.00324	+	0.325971i
$249$	8.46509	+	6.15025i	0.536453	+	0.389756i
$250$	−4.38102	−	7.83246i	−0.277080	−	0.495368i
$251$	4.14719	−	12.7637i	0.261768	−	0.805640i	−0.730652	−	0.682750i	$-0.760784\pi$
$251$	4.14719	−	12.7637i	0.261768	−	0.805640i	0.992420	−	0.122890i	$-0.0392163\pi$
$252$		−	0.0804405i		−	0.00506727i
$253$	3.98636	−	2.92517i	0.250620	−	0.183904i
$254$	12.8886			0.808704
$255$	17.8133	+	21.4258i	1.11551	+	1.34173i
$256$	11.4956	−	8.35202i	0.718473	−	0.522001i
$257$	6.35829	−	8.75143i	0.396619	−	0.545899i	−0.563272	−	0.826271i	$-0.690458\pi$
$257$	6.35829	−	8.75143i	0.396619	−	0.545899i	0.959891	+	0.280372i	$0.0904578\pi$
$258$	12.7957	−	4.15756i	0.796623	−	0.258838i
$259$	−1.34253	−	4.13188i	−0.0834207	−	0.256742i
$260$	2.01532	+	5.05400i	0.124985	+	0.313436i
$261$	−0.289878	+	0.210609i	−0.0179430	+	0.0130364i
$262$	13.7640	+	4.47219i	0.850342	+	0.276293i
$263$			24.6351i			1.51906i	0.650471	+	0.759531i	$0.274572\pi$
$263$			24.6351i			1.51906i	−0.650471	+	0.759531i	$0.725428\pi$
$264$	14.9368	−	4.93151i	0.919297	−	0.303513i
$265$	4.50584	+	2.84407i	0.276791	+	0.174710i
$266$	−0.335868	+	1.03370i	−0.0205934	+	0.0633799i
$267$	6.43084	+	8.85130i	0.393561	+	0.541691i
$268$	5.41187	−	7.44880i	0.330582	−	0.455008i
$269$	1.48359	+	4.56603i	0.0904563	+	0.278396i	0.986043	−	0.166491i	$-0.0532438\pi$
$269$	1.48359	+	4.56603i	0.0904563	+	0.278396i	−0.895587	+	0.444887i	$0.853244\pi$
$270$	−8.88194	−	2.25737i	−0.540538	−	0.137379i
$271$	−18.8746	−	13.7132i	−1.14655	−	0.833019i	−0.158534	−	0.987353i	$-0.550677\pi$
$271$	−18.8746	−	13.7132i	−1.14655	−	0.833019i	−0.988019	+	0.154334i	$0.950677\pi$
$272$	−2.28458	−	3.14446i	−0.138523	−	0.190661i
$273$	1.77966	+	0.578247i	0.107710	+	0.0349971i
$274$	3.23654			0.195527
$275$	2.23657	+	16.4316i	0.134870	+	0.990863i
$276$	−3.55855			−0.214200
$277$	20.8256	+	6.76663i	1.25129	+	0.406568i	0.858382	−	0.513012i	$-0.171470\pi$
$277$	20.8256	+	6.76663i	1.25129	+	0.406568i	0.392905	+	0.919579i	$0.371470\pi$
$278$	3.74381	+	5.15291i	0.224539	+	0.309051i
$279$	0.500000	+	0.363271i	0.0299342	+	0.0217485i
$280$	3.45639	+	0.878451i	0.206559	+	0.0524975i
$281$	4.87488	+	15.0033i	0.290811	+	0.895024i	0.984596	+	0.174842i	$0.0559416\pi$
$281$	4.87488	+	15.0033i	0.290811	+	0.895024i	−0.693785	+	0.720182i	$0.744058\pi$
$282$	1.60471	−	2.20869i	0.0955590	−	0.131526i
$283$	−13.2893	−	18.2912i	−0.789968	−	1.08730i	−0.994112	−	0.108356i	$-0.965441\pi$
$283$	−13.2893	−	18.2912i	−0.789968	−	1.08730i	0.204144	−	0.978941i	$-0.434559\pi$
$284$	−4.94061	+	15.2056i	−0.293171	+	0.902288i
$285$	7.61377	+	4.80578i	0.451001	+	0.284670i
$286$	0.0226054	+	4.77839i	0.00133668	+	0.282552i
$287$			4.97971i			0.293943i
$288$	−0.555457	−	0.180479i	−0.0327306	−	0.0106348i
$289$	26.7668	−	19.4472i	1.57452	−	1.14395i
$290$	−2.37706	−	5.96116i	−0.139586	−	0.350051i
$291$	−2.92492	−	9.00198i	−0.171462	−	0.527705i
$292$	8.79673	−	2.85823i	0.514790	−	0.167265i
$293$	−7.79380	+	10.7272i	−0.455319	+	0.626693i	−0.973530	−	0.228560i	$-0.926598\pi$
$293$	−7.79380	+	10.7272i	−0.455319	+	0.626693i	0.518211	+	0.855253i	$0.326598\pi$
$294$	−7.60308	+	5.52396i	−0.443421	+	0.322164i
$295$	0.0547192	+	0.0658160i	0.00318588	+	0.00383195i
$296$	−19.7641			−1.14876
$297$	13.7468	+	9.88860i	0.797669	+	0.573795i
$298$		−	10.0344i		−	0.581280i
$299$	0.826880	−	2.54487i	0.0478197	−	0.147174i
$300$	5.69852	−	10.4867i	0.329004	−	0.605448i
$301$	−4.55998	−	3.31302i	−0.262833	−	0.190959i
$302$	−6.41455	+	2.08421i	−0.369116	+	0.119933i
$303$	−16.6306	+	5.40361i	−0.955404	+	0.310429i
$304$	−1.01607	−	0.738221i	−0.0582758	−	0.0423399i
$305$	0.501982	+	7.67922i	0.0287434	+	0.439711i
$306$	0.175919	−	0.541424i	0.0100566	−	0.0309511i
$307$		−	10.0161i		−	0.571650i	−0.958282	−	0.285825i	$-0.907732\pi$
$307$		−	10.0161i		−	0.571650i	0.958282	−	0.285825i	$-0.0922676\pi$
$308$	−2.16119	−	1.55463i	−0.123145	−	0.0885830i
$309$	−23.8076			−1.35437
$310$	−8.51193	+	7.07679i	−0.483445	+	0.401935i
$311$	2.75734	−	2.00332i	0.156354	−	0.113598i	−0.506857	−	0.862030i	$-0.669193\pi$
$311$	2.75734	−	2.00332i	0.156354	−	0.113598i	0.663212	+	0.748432i	$0.269193\pi$
$312$	5.00362	−	6.88690i	0.283274	−	0.389894i
$313$	−23.3017	+	7.57117i	−1.31709	+	0.427948i	−0.881494	−	0.472196i	$-0.843462\pi$
$313$	−23.3017	+	7.57117i	−1.31709	+	0.427948i	−0.435594	+	0.900143i	$0.643462\pi$
$314$	3.47164	+	10.6846i	0.195916	+	0.602968i
$315$	−0.0491440	−	0.123243i	−0.00276895	−	0.00694394i
$316$	4.96401	−	3.60657i	0.279247	−	0.202885i
$317$	−6.64646	−	2.15957i	−0.373303	−	0.121293i	0.116356	−	0.993208i	$-0.462879\pi$
$317$	−6.64646	−	2.15957i	−0.373303	−	0.121293i	−0.489659	+	0.871914i	$0.662879\pi$
$318$		−	3.36787i		−	0.188861i
$319$	0.0560993	+	11.8584i	0.00314096	+	0.663945i
$320$	4.27254	−	6.76895i	0.238842	−	0.378396i
$321$	−3.04935	+	9.38493i	−0.170198	+	0.523816i
$322$	−0.416477	−	0.573232i	−0.0232094	−	0.0319449i
$323$	9.51286	−	13.0933i	0.529310	−	0.728532i
$324$	−3.89208	−	11.9786i	−0.216226	−	0.665476i
$325$	6.17534	+	6.51198i	0.342546	+	0.361220i
$326$	7.68982	+	5.58698i	0.425900	+	0.309434i
$327$	−19.2500	−	26.4953i	−1.06453	−	1.46519i
$328$	21.5449	+	7.00037i	1.18962	+	0.386531i
$329$	−1.14374			−0.0630563
$330$	8.02811	−	6.73903i	0.441933	−	0.370971i
$331$	5.64321			0.310179			0.155089	−	0.987900i	$-0.450433\pi$
$331$	5.64321			0.310179			0.155089	+	0.987900i	$0.450433\pi$
$332$	−7.66196	−	2.48952i	−0.420505	−	0.136630i
$333$	0.432200	+	0.594872i	0.0236844	+	0.0325988i
$334$	−5.66682	−	4.11719i	−0.310075	−	0.225282i
$335$	3.74077	−	14.7186i	0.204380	−	0.804162i
$336$	0.176932	+	0.544542i	0.00965245	+	0.0297072i
$337$	−13.2936	+	18.2970i	−0.724146	+	0.996702i	0.275230	+	0.961379i	$0.411246\pi$
$337$	−13.2936	+	18.2970i	−0.724146	+	0.996702i	−0.999376	+	0.0353234i	$0.988754\pi$
$338$	−4.61358	−	6.35005i	−0.250946	−	0.345397i
$339$	6.42112	−	19.7622i	0.348748	−	1.07333i
$340$	−18.1418	−	11.4510i	−0.983876	−	0.621018i
$341$	19.4232	−	6.41272i	1.05182	−	0.347268i
$342$		−	0.183955i		−	0.00994713i
$343$	7.68631	+	2.49743i	0.415022	+	0.134849i
$344$	−20.7443	+	15.0716i	−1.11846	+	0.812605i
$345$	−5.45205	+	2.17405i	−0.293529	+	0.117047i
$346$	2.27673	+	7.00706i	0.122398	+	0.376702i
$347$	−0.173468	+	0.0563630i	−0.00931223	+	0.00302573i	−0.313669	−	0.949532i	$-0.601558\pi$
$347$	−0.173468	+	0.0563630i	−0.00931223	+	0.00302573i	0.304357	+	0.952558i	$0.401558\pi$
$348$	5.01656	−	6.90470i	0.268916	−	0.370131i
$349$	−12.4809	+	9.06792i	−0.668089	+	0.485395i	−0.869385	−	0.494136i	$-0.835485\pi$
$349$	−12.4809	+	9.06792i	−0.668089	+	0.485395i	0.201296	+	0.979530i	$0.435485\pi$
$350$	2.35618	−	0.309364i	0.125943	−	0.0165362i
$351$	9.16431			0.489155
$352$	−15.5839	+	11.4354i	−0.830625	+	0.609508i
$353$		−	23.9103i		−	1.27262i	−0.771435	−	0.636308i	$-0.780461\pi$
$353$		−	23.9103i		−	1.27262i	0.771435	−	0.636308i	$-0.219539\pi$
$354$	0.0167177	−	0.0514519i	0.000888537	−	0.00273464i
$355$	1.72018	+	26.3149i	0.0912975	+	1.39665i
$356$	−6.81501	−	4.95139i	−0.361195	−	0.262423i
$357$	−7.01707	+	2.27998i	−0.371383	+	0.120670i
$358$	1.10555	−	0.359214i	0.0584299	−	0.0189850i
$359$	−7.09293	−	5.15332i	−0.374351	−	0.271982i	0.384662	−	0.923057i	$-0.374318\pi$
$359$	−7.09293	−	5.15332i	−0.374351	−	0.271982i	−0.759013	+	0.651076i	$0.774318\pi$
$360$	−0.602301	+	0.0393717i	−0.0317440	+	0.00207507i
$361$	−4.25527	+	13.0964i	−0.223962	+	0.689283i
$362$			0.636943i			0.0334770i
$363$	−18.3628	+	6.15910i	−0.963795	+	0.323269i
$364$	−1.44076			−0.0755161
$365$	11.7313	−	9.75333i	0.614042	−	0.510513i
$366$	3.93518	−	2.85907i	0.205695	−	0.149446i
$367$	−3.16365	+	4.35439i	−0.165141	+	0.227297i	−0.883565	−	0.468308i	$-0.844864\pi$
$367$	−3.16365	+	4.35439i	−0.165141	+	0.227297i	0.718424	+	0.695605i	$0.244864\pi$
$368$	0.778682	−	0.253009i	0.0405916	−	0.0131890i
$369$	−0.260442	−	0.801557i	−0.0135581	−	0.0417274i
$370$	−12.2331	+	4.87807i	−0.635971	+	0.253599i
$371$	−1.14146	+	0.829322i	−0.0592619	+	0.0430563i
$372$	−14.0006	−	4.54908i	−0.725899	−	0.235859i
$373$		−	3.22450i		−	0.166958i	−0.996510	−	0.0834792i	$-0.973397\pi$
$373$		−	3.22450i		−	0.166958i	0.996510	−	0.0834792i	$-0.0266032\pi$
$374$	−11.1465	−	15.1902i	−0.576371	−	0.785465i
$375$	2.32400	−	19.5480i	0.120011	−	1.00946i
$376$	−1.60784	+	4.94844i	−0.0829183	+	0.255196i
$377$	3.77218	+	5.19196i	0.194277	+	0.267400i
$378$	1.42637	−	1.96322i	0.0733643	−	0.100977i
$379$	6.07632	+	18.7010i	0.312119	+	0.960605i	0.976924	+	0.213588i	$0.0685149\pi$
$379$	6.07632	+	18.7010i	0.312119	+	0.960605i	−0.664804	+	0.747017i	$0.731485\pi$
$380$	−6.71869	−	1.70757i	−0.344661	−	0.0875967i
$381$	22.8722	+	16.6176i	1.17178	+	0.851345i
$382$	3.84543	+	5.29278i	0.196749	+	0.270802i
$383$	26.6059	+	8.64478i	1.35950	+	0.441728i	0.895876	−	0.444305i	$-0.146549\pi$
$383$	26.6059	+	8.64478i	1.35950	+	0.441728i	0.463623	+	0.886033i	$0.346549\pi$
$384$	15.4639			0.789139
$385$	−4.26092	−	1.06149i	−0.217157	−	0.0540986i
$386$	3.50648			0.178475
$387$	0.907269	+	0.294789i	0.0461191	+	0.0149850i
$388$	4.28361	+	5.89588i	0.217467	+	0.299318i
$389$	10.5496	+	7.66472i	0.534885	+	0.388617i	0.822182	−	0.569225i	$-0.192757\pi$
$389$	10.5496	+	7.66472i	0.534885	+	0.388617i	−0.287297	+	0.957842i	$0.592757\pi$
$390$	1.39725	−	5.49768i	0.0707525	−	0.278386i
$391$	3.26033	+	10.0343i	0.164882	+	0.507454i
$392$	10.5277	−	14.4902i	0.531730	−	0.731864i
$393$	18.6595	+	25.6826i	0.941247	+	1.29552i
$394$	3.88258	−	11.9493i	0.195601	−	0.601999i
$395$	5.40197	−	8.55830i	0.271803	−	0.430615i
$396$	0.429183	+	0.137209i	0.0215672	+	0.00689499i
$397$			1.82243i			0.0914651i	0.998954	+	0.0457325i	$0.0145622\pi$
$397$			1.82243i			0.0914651i	−0.998954	+	0.0457325i	$0.985438\pi$
$398$	−1.09802	−	0.356768i	−0.0550387	−	0.0178831i
$399$	−1.92880	+	1.40135i	−0.0965607	+	0.0701555i
$400$	−0.501359	+	2.69985i	−0.0250679	+	0.134993i
$401$	1.66277	+	5.11749i	0.0830349	+	0.255555i	0.983951	−	0.178438i	$-0.0571043\pi$
$401$	1.66277	+	5.11749i	0.0830349	+	0.255555i	−0.900916	+	0.433993i	$0.857104\pi$
$402$	−9.12910	+	2.96622i	−0.455318	+	0.147942i
$403$	6.50649	−	8.95542i	0.324111	−	0.446101i
$404$	10.8923	−	7.91371i	0.541912	−	0.393722i
$405$	−13.2812	−	15.9745i	−0.659947	−	0.793781i
$406$	1.69936			0.0843379
$407$	24.3352	−	0.115124i	1.20625	−	0.00570647i
$408$			33.5648i			1.66171i
$409$	11.3354	−	34.8867i	0.560499	−	1.72504i	−0.120462	−	0.992718i	$-0.538438\pi$
$409$	11.3354	−	34.8867i	0.560499	−	1.72504i	0.680961	−	0.732320i	$-0.261562\pi$
$410$	15.0632	−	0.984666i	0.743920	−	0.0486292i
$411$	5.74357	+	4.17295i	0.283309	+	0.205836i
$412$	17.4334	−	5.66446i	0.858883	−	0.279068i
$413$	−0.0215551	+	0.00700368i	−0.00106066	+	0.000344629i
$414$	0.0970185	+	0.0704881i	0.00476820	+	0.00346430i
$415$	−13.2598	+	0.866779i	−0.650899	+	0.0425485i
$416$	−3.23253	+	9.94870i	−0.158488	+	0.487775i
$417$			13.9713i			0.684180i
$418$	−4.94229	−	3.55518i	−0.241735	−	0.173890i
$419$	−2.86630			−0.140028			−0.0700141	−	0.997546i	$-0.522304\pi$
$419$	−2.86630			−0.140028			−0.0700141	+	0.997546i	$0.522304\pi$
$420$	2.02042	+	2.43015i	0.0985864	+	0.118579i
$421$	−3.76982	+	2.73893i	−0.183730	+	0.133487i	−0.675848	−	0.737041i	$-0.736223\pi$
$421$	−3.76982	+	2.73893i	−0.183730	+	0.133487i	0.492119	+	0.870528i	$0.336223\pi$
$422$	4.09597	−	5.63761i	0.199389	−	0.274435i
$423$	0.184102	−	0.0598182i	0.00895132	−	0.00290846i
$424$	1.98345	+	6.10445i	0.0963251	+	0.296458i
$425$	−34.7908	−	6.46061i	−1.68760	−	0.313385i
$426$	13.4849	−	9.79738i	0.653347	−	0.474685i
$427$	−1.93804	−	0.629706i	−0.0937881	−	0.0304736i
$428$		−	7.59774i		−	0.367250i
$429$	−6.12078	+	8.50889i	−0.295514	+	0.410813i
$430$	−9.11996	+	14.4487i	−0.439803	+	0.696778i
$431$	6.41801	−	19.7526i	0.309145	−	0.951450i	−0.668953	−	0.743304i	$-0.733257\pi$
$431$	6.41801	−	19.7526i	0.309145	−	0.951450i	0.978098	−	0.208145i	$-0.0667426\pi$
$432$	1.64821	+	2.26856i	0.0792995	+	0.109146i
$433$	−7.52199	+	10.3531i	−0.361484	+	0.497540i	−0.950561	−	0.310537i	$-0.899491\pi$
$433$	−7.52199	+	10.3531i	−0.361484	+	0.497540i	0.589078	+	0.808076i	$0.299491\pi$
$434$	−0.905781	−	2.78771i	−0.0434789	−	0.133814i
$435$	3.46752	−	13.6435i	0.166255	−	0.654154i
$436$	20.3999	+	14.8214i	0.976979	+	0.709817i
$437$	2.00390	+	2.75814i	0.0958598	+	0.131940i
$438$	−9.17095	−	2.97982i	−0.438205	−	0.142381i
$439$	10.6208			0.506905			0.253452	−	0.967348i	$-0.418434\pi$
$439$	10.6208			0.506905			0.253452	+	0.967348i	$0.418434\pi$
$440$	−10.5825	+	16.9429i	−0.504502	+	0.807719i
$441$	−0.666354			−0.0317312
$442$	−9.69735	−	3.15086i	−0.461256	−	0.149871i
$443$	−3.87876	−	5.33865i	−0.184285	−	0.253647i	0.706872	−	0.707342i	$-0.250106\pi$
$443$	−3.87876	−	5.33865i	−0.184285	−	0.253647i	−0.891157	+	0.453695i	$0.850106\pi$
$444$	−14.1694	−	10.2947i	−0.672452	−	0.488565i
$445$	−13.4662	−	3.42248i	−0.638361	−	0.162241i
$446$	1.56420	+	4.81411i	0.0740669	+	0.227955i
$447$	12.9376	−	17.8071i	0.611929	−	0.842248i
$448$	1.24586	+	1.71478i	0.0588614	+	0.0810158i
$449$	−4.21130	+	12.9610i	−0.198743	+	0.611670i	0.801169	+	0.598438i	$0.204212\pi$
$449$	−4.21130	+	12.9610i	−0.198743	+	0.611670i	−0.999912	+	0.0132314i	$0.995788\pi$
$450$	−0.363082	+	0.173026i	−0.0171159	+	0.00815654i
$451$	−26.5688	−	8.49397i	−1.25107	−	0.399965i
$452$			15.9988i			0.752522i
$453$	−14.0705	−	4.57178i	−0.661090	−	0.214801i
$454$	0.725253	−	0.526927i	0.0340378	−	0.0247299i
$455$	−2.20738	+	0.880210i	−0.103484	+	0.0412649i
$456$	3.35156	+	10.3150i	0.156951	+	0.483046i
$457$	−12.8392	+	4.17169i	−0.600590	+	0.195144i	−0.593504	−	0.804831i	$-0.702256\pi$
$457$	−12.8392	+	4.17169i	−0.600590	+	0.195144i	−0.00708664	+	0.999975i	$0.502256\pi$
$458$	1.97981	−	2.72498i	0.0925105	−	0.127330i
$459$	−29.2332	+	21.2391i	−1.36449	+	0.991358i
$460$	3.47506	−	2.88916i	0.162026	−	0.134708i
$461$	11.3217			0.527303			0.263652	−	0.964618i	$-0.415073\pi$
$461$	11.3217			0.527303			0.263652	+	0.964618i	$0.415073\pi$
$462$	0.870156	+	2.63558i	0.0404833	+	0.122618i
$463$		−	4.82990i		−	0.224464i	−0.993682	−	0.112232i	$-0.964200\pi$
$463$		−	4.82990i		−	0.224464i	0.993682	−	0.112232i	$-0.0358001\pi$
$464$	−0.606806	+	1.86756i	−0.0281703	+	0.0866992i
$465$	−24.2295	+	1.58386i	−1.12362	+	0.0734497i
$466$	−4.40257	−	3.19865i	−0.203945	−	0.148175i
$467$	22.8418	−	7.42175i	1.05699	−	0.343437i	0.271583	−	0.962415i	$-0.412453\pi$
$467$	22.8418	−	7.42175i	1.05699	−	0.343437i	0.785409	+	0.618978i	$0.212453\pi$
$468$	0.231911	−	0.0753524i	0.0107201	−	0.00348317i
$469$	3.25333	+	2.36368i	0.150225	+	0.109145i
$470$	0.226158	+	3.45972i	0.0104319	+	0.159585i
$471$	−7.61514	+	23.4370i	−0.350887	+	1.07992i
$472$			0.103105i			0.00474579i
$473$	25.4543	−	18.6783i	1.17039	−	0.858828i
$474$	−6.39688			−0.293818
$475$	−11.3369	+	1.48852i	−0.520173	+	0.0682981i
$476$	4.59586	−	3.33909i	0.210651	−	0.153047i
$477$	0.140361	−	0.193191i	0.00642671	−	0.00884561i
$478$	3.35755	−	1.09093i	0.153571	−	0.0498981i
$479$	−13.3573	−	41.1095i	−0.610309	−	1.87834i	−0.455052	−	0.890465i	$-0.650379\pi$
$479$	−13.3573	−	41.1095i	−0.610309	−	1.87834i	−0.155258	−	0.987874i	$-0.549621\pi$
$480$	21.3137	−	8.49903i	0.972835	−	0.387926i
$481$	10.6546	−	7.74106i	0.485810	−	0.352962i
$482$	−7.33805	−	2.38428i	−0.334239	−	0.108601i
$483$		−	1.55423i		−	0.0707199i
$484$	11.9809	−	8.87905i	0.544588	−	0.403593i
$485$	10.1649	+	6.41606i	0.461565	+	0.291338i
$486$	−0.258219	+	0.794718i	−0.0117131	+	0.0360491i
$487$	−24.6640	−	33.9471i	−1.11763	−	1.53829i	−0.809666	−	0.586891i	$-0.800352\pi$
$487$	−24.6640	−	33.9471i	−1.11763	−	1.53829i	−0.307966	−	0.951397i	$-0.599648\pi$
$488$	−5.44890	+	7.49977i	−0.246660	+	0.339499i
$489$	6.44294	+	19.8293i	0.291360	+	0.896713i
$490$	2.93984	−	11.5672i	0.132809	−	0.522554i
$491$	7.32956	+	5.32524i	0.330778	+	0.240325i	0.740761	−	0.671769i	$-0.234465\pi$
$491$	7.32956	+	5.32524i	0.330778	+	0.240325i	−0.409982	+	0.912093i	$0.634465\pi$
$492$	11.7998	+	16.2411i	0.531978	+	0.732205i
$493$	−24.0657	−	7.81942i	−1.08386	−	0.352169i
$494$	−3.29478			−0.148239
$495$	0.741375	−	0.0519862i	0.0333223	−	0.00233661i
$496$	3.38705			0.152083
$497$	−6.64120	−	2.15786i	−0.297898	−	0.0967931i
$498$	4.93680	+	6.79492i	0.221223	+	0.304488i
$499$	24.4965	+	17.7977i	1.09661	+	0.796736i	0.980504	−	0.196501i	$-0.0629578\pi$
$499$	24.4965	+	17.7977i	1.09661	+	0.796736i	0.116109	+	0.993236i	$0.462958\pi$
$500$	2.94921	+	14.8672i	0.131893	+	0.664882i
$501$	−4.74796	−	14.6127i	−0.212123	−	0.652849i
$502$	6.33203	−	8.71530i	0.282612	−	0.388983i
$503$	−10.6177	−	14.6139i	−0.473418	−	0.651604i	0.503806	−	0.863817i	$-0.331933\pi$
$503$	−10.6177	−	14.6139i	−0.473418	−	0.651604i	−0.977223	+	0.212213i	$0.931933\pi$
$504$	0.0493894	−	0.152005i	0.00219998	−	0.00677084i
$505$	11.8533	−	18.7791i	0.527464	−	0.835658i
$506$	3.76881	−	1.24430i	0.167544	−	0.0553161i
$507$		−	17.2172i		−	0.764642i
$508$	−20.7022	−	6.72654i	−0.918510	−	0.298442i
$509$	−20.1572	+	14.6451i	−0.893453	+	0.649132i	−0.936776	−	0.349929i	$-0.886206\pi$
$509$	−20.1572	+	14.6451i	−0.893453	+	0.649132i	0.0433229	+	0.999061i	$0.486206\pi$
$510$	8.28430	+	20.7753i	0.366835	+	0.919944i
$511$	1.24836	+	3.84205i	0.0552241	+	0.169962i
$512$	−5.85796	+	1.90337i	−0.258888	+	0.0841177i
$513$	−6.86304	+	9.44617i	−0.303011	+	0.417058i
$514$	7.02477	−	5.10379i	0.309849	−	0.225119i
$515$	23.2491	−	19.3292i	1.02448	−	0.851747i
$516$	−22.7226			−1.00031
$517$	1.95089	−	6.10231i	0.0858002	−	0.268379i
$518$		−	3.48734i		−	0.153225i
$519$	−4.99407	+	15.3702i	−0.219216	+	0.674676i
$520$	0.705181	+	10.7877i	0.0309242	+	0.473072i
$521$	−29.3537	−	21.3267i	−1.28601	−	0.934339i	−0.286291	−	0.958143i	$-0.592422\pi$
$521$	−29.3537	−	21.3267i	−1.28601	−	0.934339i	−0.999717	+	0.0238032i	$0.992422\pi$
$522$	−0.273537	+	0.0888777i	−0.0119724	+	0.00389007i
$523$	23.4978	−	7.63489i	1.02749	−	0.333850i	0.253690	−	0.967286i	$-0.418356\pi$
$523$	23.4978	−	7.63489i	1.02749	−	0.333850i	0.773796	+	0.633435i	$0.218356\pi$
$524$	−19.7742	−	14.3668i	−0.863839	−	0.627616i
$525$	4.58015	+	2.48888i	0.199894	+	0.108624i
$526$	−6.11067	+	18.8067i	−0.266438	+	0.820011i
$527$			43.6462i			1.90126i
$528$	−3.20715	+	0.0151722i	−0.139573	+	0.000660285i
$529$	20.7775			0.903369
$530$	2.73435	+	3.28886i	0.118772	+	0.142859i
$531$	0.00310332	−	0.00225469i	0.000134672	−	9.78453e-5i
$532$	1.07897	−	1.48507i	0.0467791	−	0.0643859i
$533$	−14.3566	+	4.66473i	−0.621852	+	0.202052i
$534$	2.71384	+	8.35234i	0.117439	+	0.361441i
$535$	−4.64173	−	11.6405i	−0.200680	−	0.503262i
$536$	14.8001	−	10.7529i	0.639265	−	0.464453i
$537$	2.42504	+	0.787945i	0.104648	+	0.0340023i
$538$			3.85376i			0.166148i
$539$	−12.8782	+	17.9029i	−0.554705	+	0.771131i
$540$	13.0884	+	8.26132i	0.563233	+	0.355511i
$541$	−3.87568	+	11.9281i	−0.166628	+	0.512829i	−0.999153	−	0.0411593i	$-0.986895\pi$
$541$	−3.87568	+	11.9281i	−0.166628	+	0.512829i	0.832524	+	0.553989i	$0.186895\pi$
$542$	−11.0076	−	15.1507i	−0.472817	−	0.650776i
$543$	−0.821226	+	1.13032i	−0.0352422	+	0.0485067i
$544$	−12.7456	−	39.2270i	−0.546464	−	1.68184i
$545$	40.3096	+	10.2448i	1.72667	+	0.438839i
$546$	1.21518	+	0.882881i	0.0520050	+	0.0377838i
$547$	18.0689	+	24.8698i	0.772572	+	1.06335i	0.996063	+	0.0886479i	$0.0282546\pi$
$547$	18.0689	+	24.8698i	0.772572	+	1.06335i	−0.223491	+	0.974706i	$0.571745\pi$
$548$	−5.19865	−	1.68914i	−0.222075	−	0.0721566i
$549$	0.344889			0.0147195
$550$	−2.36839	+	13.0989i	−0.100989	+	0.558538i
$551$	−8.17659			−0.348334
$552$	−6.72445	−	2.18491i	−0.286212	−	0.0929958i
$553$	1.57520	+	2.16808i	0.0669843	+	0.0921960i
$554$	14.2200	+	10.3315i	0.604151	+	0.438942i
$555$	−27.9984	−	7.11586i	−1.18846	−	0.302051i
$556$	−3.32415	−	10.2307i	−0.140975	−	0.433877i
$557$	−7.89359	+	10.8646i	−0.334462	+	0.460347i	−0.942814	−	0.333320i	$-0.891831\pi$
$557$	−7.89359	+	10.8646i	−0.334462	+	0.460347i	0.608352	+	0.793668i	$0.291831\pi$
$558$	0.291597	+	0.401350i	0.0123443	+	0.0169905i
$559$	5.27993	−	16.2499i	0.223317	−	0.687299i
$560$	−0.614889	−	0.388116i	−0.0259838	−	0.0164009i
$561$	−0.195512	−	41.3279i	−0.00825452	−	1.74487i
$562$			12.6629i			0.534154i
$563$	29.0454	+	9.43741i	1.22412	+	0.397740i	0.848580	−	0.529068i	$-0.177458\pi$
$563$	29.0454	+	9.43741i	1.22412	+	0.397740i	0.375537	+	0.926807i	$0.377458\pi$
$564$	−3.73025	+	2.71019i	−0.157072	+	0.114119i
$565$	9.77427	+	24.5118i	0.411207	+	1.03122i
$566$	−5.60814	−	17.2601i	−0.235728	−	0.725495i
$567$	5.23175	−	1.69990i	0.219713	−	0.0713891i
$568$	−18.6721	+	25.7000i	−0.783465	+	1.07835i
$569$	20.8082	−	15.1181i	0.872327	−	0.633783i	−0.0588833	−	0.998265i	$-0.518754\pi$
$569$	20.8082	−	15.1181i	0.872327	−	0.633783i	0.931210	+	0.364482i	$0.118754\pi$
$570$	4.62038	+	5.55737i	0.193527	+	0.232773i
$571$	−27.1115			−1.13458			−0.567291	−	0.823518i	$-0.692008\pi$
$571$	−27.1115			−1.13458			−0.567291	+	0.823518i	$0.692008\pi$
$572$	2.45752	−	7.68702i	0.102754	−	0.321410i
$573$			14.3506i			0.599504i
$574$	−1.23520	+	3.80157i	−0.0515564	+	0.158674i
$575$	3.55904	−	6.54951i	0.148422	−	0.273133i
$576$	−0.290224	−	0.210860i	−0.0120927	−	0.00878583i
$577$	2.72968	−	0.886926i	0.113638	−	0.0369232i	−0.251646	−	0.967819i	$-0.580972\pi$
$577$	2.72968	−	0.886926i	0.113638	−	0.0369232i	0.365284	+	0.930896i	$0.380972\pi$
$578$	25.2579	−	8.20680i	1.05059	−	0.341358i
$579$	6.22260	+	4.52098i	0.258602	+	0.187886i
$580$	0.707003	+	10.8156i	0.0293567	+	0.449093i
$581$	1.08732	−	3.34643i	0.0451097	−	0.138833i
$582$		−	7.59774i		−	0.314936i
$583$	−2.47776	−	7.50476i	−0.102618	−	0.310816i
$584$	18.3777			0.760476
$585$	0.309275	−	0.257130i	0.0127869	−	0.0106310i
$586$	−8.61075	+	6.25608i	−0.355707	+	0.258436i
$587$	−26.3539	+	36.2731i	−1.08774	+	1.49715i	−0.237042	+	0.971499i	$0.576178\pi$
$587$	−26.3539	+	36.2731i	−1.08774	+	1.49715i	−0.850701	+	0.525651i	$0.823822\pi$
$588$	15.0953	−	4.90475i	0.622518	−	0.202268i
$589$	4.35822	+	13.4132i	0.179577	+	0.552682i
$590$	0.0254478	+	0.0638177i	0.00104767	+	0.00262733i
$591$	22.2966	−	16.1994i	0.917159	−	0.666355i
$592$	3.83250	+	1.24525i	0.157515	+	0.0511796i
$593$		−	6.09322i		−	0.250219i	−0.992143	−	0.125109i	$-0.960072\pi$
$593$		−	6.09322i		−	0.250219i	0.992143	−	0.125109i	$-0.0399282\pi$
$594$	8.04162	+	10.9589i	0.329952	+	0.449651i
$595$	5.00133	−	7.92358i	0.205035	−	0.324835i
$596$	−5.23695	+	16.1177i	−0.214514	+	0.660206i
$597$	−1.48855	−	2.04882i	−0.0609225	−	0.0838526i
$598$	1.26250	−	1.73768i	0.0516275	−	0.0710591i
$599$	3.99674	+	12.3007i	0.163302	+	0.502593i	0.998907	−	0.0467381i	$-0.0148826\pi$
$599$	3.99674	+	12.3007i	0.163302	+	0.502593i	−0.835605	+	0.549331i	$0.814883\pi$
$600$	17.2069	−	16.3174i	0.702471	−	0.666156i
$601$	8.93729	+	6.49332i	0.364560	+	0.264868i	0.754951	−	0.655781i	$-0.227660\pi$
$601$	8.93729	+	6.49332i	0.364560	+	0.264868i	−0.390392	+	0.920649i	$0.627660\pi$
$602$	−2.65936	−	3.66029i	−0.108387	−	0.149182i
$603$	−0.647294	−	0.210318i	−0.0263598	−	0.00856483i
$604$	11.3910			0.463494
$605$	12.9314	−	20.9232i	0.525737	−	0.850647i
$606$	−14.0364			−0.570188
$607$	−0.110239	−	0.0358189i	−0.00447448	−	0.00145385i	0.306779	−	0.951781i	$-0.400749\pi$
$607$	−0.110239	−	0.0358189i	−0.00447448	−	0.00145385i	−0.311253	+	0.950327i	$0.600749\pi$
$608$	−7.83388	−	10.7824i	−0.317706	−	0.437285i
$609$	3.01569	+	2.19103i	0.122202	+	0.0887849i
$610$	−1.52159	+	5.98692i	−0.0616075	+	0.242404i
$611$	−1.07139	−	3.29741i	−0.0433440	−	0.133399i
$612$	−0.565135	+	0.777842i	−0.0228442	+	0.0314424i
$613$	11.1941	+	15.4074i	0.452125	+	0.622297i	0.972853	−	0.231426i	$-0.0743391\pi$
$613$	11.1941	+	15.4074i	0.452125	+	0.622297i	−0.520727	+	0.853723i	$0.674339\pi$
$614$	2.48447	−	7.64643i	0.100265	−	0.308585i
$615$	28.0008	+	17.6740i	1.12910	+	0.712684i
$616$	−3.12938	−	4.26465i	−0.126086	−	0.171828i
$617$		−	30.8894i		−	1.24356i	−0.783192	−	0.621780i	$-0.786410\pi$
$617$		−	30.8894i		−	1.24356i	0.783192	−	0.621780i	$-0.213590\pi$
$618$	−18.1750	−	5.90543i	−0.731108	−	0.237551i
$619$	27.1584	−	19.7317i	1.09159	−	0.793086i	0.111922	−	0.993717i	$-0.464299\pi$
$619$	27.1584	−	19.7317i	1.09159	−	0.793086i	0.979667	+	0.200631i	$0.0642993\pi$
$620$	17.3655	−	6.92464i	0.697416	−	0.278100i
$621$	−2.35216	−	7.23920i	−0.0943889	−	0.290499i
$622$	2.60191	−	0.845410i	0.104327	−	0.0338979i
$623$	2.16257	−	2.97652i	0.0866414	−	0.119252i
$624$	−1.40418	+	1.02020i	−0.0562122	+	0.0408405i
$625$	13.6014	+	20.9762i	0.544056	+	0.839049i
$626$	−19.6668			−0.786043
$627$	−4.18681	−	12.6812i	−0.167205	−	0.506440i
$628$		−	18.9738i		−	0.757139i
$629$	−16.0466	+	49.3863i	−0.639819	+	1.96916i
$630$	−0.00694707	−	0.106275i	−0.000276778	−	0.00423410i
$631$	−19.9482	−	14.4932i	−0.794123	−	0.576964i	0.115061	−	0.993358i	$-0.463294\pi$
$631$	−19.9482	−	14.4932i	−0.794123	−	0.576964i	−0.909184	+	0.416394i	$0.863294\pi$
$632$	11.5947	−	3.76734i	0.461211	−	0.149857i
$633$	14.5374	−	4.72349i	0.577810	−	0.187742i
$634$	−4.53832	−	3.29728i	−0.180240	−	0.130952i
$635$	−35.8272	+	2.34198i	−1.42176	+	0.0929388i
$636$	−1.75768	+	5.40960i	−0.0696967	+	0.214504i
$637$			11.9350i			0.472880i
$638$	−2.89863	+	9.06679i	−0.114758	+	0.358958i
$639$	1.18186			0.0467535
$640$	−15.1011	+	12.5550i	−0.596923	+	0.496280i
$641$	−5.67644	+	4.12418i	−0.224206	+	0.162895i	−0.694218	−	0.719765i	$-0.744250\pi$
$641$	−5.67644	+	4.12418i	−0.224206	+	0.162895i	0.470012	+	0.882660i	$0.344250\pi$
$642$	−4.65582	+	6.40818i	−0.183751	+	0.252911i
$643$	−11.6528	+	3.78623i	−0.459543	+	0.149315i	−0.529634	−	0.848226i	$-0.677671\pi$
$643$	−11.6528	+	3.78623i	−0.459543	+	0.149315i	0.0700915	+	0.997541i	$0.477671\pi$
$644$	0.369792	+	1.13810i	0.0145718	+	0.0448475i
$645$	−34.8133	+	13.8821i	−1.37077	+	0.546607i
$646$	10.5100	−	7.63596i	0.413510	−	0.300433i
$647$	−5.82060	−	1.89123i	−0.228832	−	0.0743519i	0.192357	−	0.981325i	$-0.438387\pi$
$647$	−5.82060	−	1.89123i	−0.228832	−	0.0743519i	−0.421188	+	0.906973i	$0.638387\pi$
$648$		−	25.0251i		−	0.983079i
$649$	−0.000600576	−	0.126952i	−2.35747e−5	−	0.00498328i
$650$	3.09905	+	6.50310i	0.121555	+	0.255073i
$651$	1.98685	−	6.11491i	0.0778710	−	0.239662i
$652$	−9.43583	−	12.9873i	−0.369536	−	0.508622i
$653$	−22.3544	+	30.7682i	−0.874795	+	1.20405i	0.103041	+	0.994677i	$0.467143\pi$
$653$	−22.3544	+	30.7682i	−0.874795	+	1.20405i	−0.977835	+	0.209375i	$0.932857\pi$
$654$	−8.12356	−	25.0017i	−0.317656	−	0.977645i
$655$	−39.0732	−	9.93055i	−1.52671	−	0.388019i
$656$	−3.73676	−	2.71492i	−0.145896	−	0.106000i
$657$	−0.401883	−	0.553145i	−0.0156790	−	0.0215802i
$658$	−0.873144	−	0.283702i	−0.0340387	−	0.0110598i
$659$	−15.7879			−0.615011			−0.307505	−	0.951546i	$-0.599494\pi$
$659$	−15.7879			−0.615011			−0.307505	+	0.951546i	$0.599494\pi$
$660$	−16.4121	+	6.63462i	−0.638840	+	0.258252i
$661$	−24.5794			−0.956027			−0.478014	−	0.878352i	$-0.658643\pi$
$661$	−24.5794			−0.956027			−0.478014	+	0.878352i	$0.658643\pi$
$662$	4.30809	+	1.39978i	0.167439	+	0.0544042i
$663$	−13.1464	−	18.0945i	−0.510566	−	0.702733i
$664$	−12.9500	−	9.40870i	−0.502556	−	0.365128i
$665$	0.745798	−	2.93445i	0.0289208	−	0.113793i
$666$	0.182390	+	0.561338i	0.00706746	+	0.0217514i
$667$	3.13312	−	4.31237i	0.121315	−	0.166976i
$668$	6.95350	+	9.57067i	0.269039	+	0.370300i
$669$	−3.43111	+	10.5599i	−0.132654	+	0.408268i
$670$	6.50666	−	10.3085i	0.251374	−	0.398251i
$671$	6.66547	−	9.26611i	0.257318	−	0.357714i
$672$			6.07597i			0.234385i
$673$	28.5063	+	9.26226i	1.09884	+	0.357034i	0.801655	−	0.597787i	$-0.203953\pi$
$673$	28.5063	+	9.26226i	1.09884	+	0.357034i	0.297182	+	0.954821i	$0.403953\pi$
$674$	−14.6870	+	10.6707i	−0.565722	+	0.411021i
$675$	25.0998	+	4.66100i	0.966091	+	0.179402i
$676$	4.09642	+	12.6075i	0.157555	+	0.484903i
$677$	3.57321	−	1.16101i	0.137330	−	0.0446211i	−0.239546	−	0.970885i	$-0.576999\pi$
$677$	3.57321	−	1.16101i	0.137330	−	0.0446211i	0.376875	+	0.926264i	$0.376999\pi$
$678$	9.80393	−	13.4940i	0.376518	−	0.518232i
$679$	−2.57508	+	1.87091i	−0.0988225	+	0.0717988i
$680$	−27.2510	−	32.7773i	−1.04503	−	1.25695i
$681$	1.96641			0.0753531
$682$	16.4185	−	0.0776720i	0.628699	−	0.00297421i
$683$			21.0157i			0.804144i	0.915608	+	0.402072i	$0.131710\pi$
$683$			21.0157i			0.804144i	−0.915608	+	0.402072i	$0.868290\pi$
$684$	−0.0960054	+	0.295474i	−0.00367086	+	0.0112977i
$685$	−8.99679	+	0.588110i	−0.343750	+	0.0224705i
$686$	5.24834	+	3.81314i	0.200382	+	0.145586i
$687$	7.02675	−	2.28313i	0.268087	−	0.0871068i
$688$	4.97217	−	1.61555i	0.189562	−	0.0615925i
$689$	−3.46021	−	2.51399i	−0.131824	−	0.0957754i
$690$	−4.70143	+	0.307327i	−0.178980	+	0.0116997i
$691$	−11.8299	+	36.4088i	−0.450032	+	1.38506i	0.426837	+	0.904328i	$0.359628\pi$
$691$	−11.8299	+	36.4088i	−0.450032	+	1.38506i	−0.876870	+	0.480728i	$0.840372\pi$
$692$		−	12.4432i		−	0.473020i
$693$	−0.0599271	+	0.187449i	−0.00227644	+	0.00712061i
$694$	−0.146408			−0.00555757
$695$	−11.3432	−	13.6435i	−0.430272	−	0.517529i
$696$	13.7190	−	9.96742i	0.520017	−	0.377814i
$697$	34.9850	−	48.1527i	1.32515	−	1.82391i
$698$	−11.7774	+	3.82670i	−0.445780	+	0.144843i
$699$	−3.68870	−	11.3527i	−0.139520	−	0.429397i
$700$	−3.94603	−	0.732773i	−0.149146	−	0.0276962i
$701$	27.6963	−	20.1225i	1.04607	−	0.760016i	0.0746112	−	0.997213i	$-0.476228\pi$
$701$	27.6963	−	20.1225i	1.04607	−	0.760016i	0.971462	+	0.237196i	$0.0762284\pi$
$702$	6.99614	+	2.27318i	0.264052	+	0.0857958i
$703$			16.7795i			0.632852i
$704$	−11.2741	+	3.72224i	−0.424910	+	0.140287i
$705$	−4.05936	+	6.43121i	−0.152884	+	0.242214i
$706$	5.93089	−	18.2534i	0.223212	−	0.686976i
$707$	3.45639	+	4.75731i	0.129991	+	0.178917i
$708$	−0.0537052	+	0.0739189i	−0.00201836	+	0.00277804i
$709$	1.27462	+	3.92289i	0.0478695	+	0.147327i	0.972134	−	0.234425i	$-0.0753207\pi$
$709$	1.27462	+	3.92289i	0.0478695	+	0.147327i	−0.924265	+	0.381752i	$0.875321\pi$
$710$	−5.21415	+	20.5158i	−0.195683	+	0.769945i
$711$	−0.366944	−	0.266600i	−0.0137615	−	0.00999828i
$712$	−9.83795	−	13.5408i	−0.368693	−	0.507462i
$713$	−8.74418	−	2.84116i	−0.327472	−	0.106402i
$714$	−5.92246			−0.221642
$715$	−0.931116	−	13.2787i	−0.0348218	−	0.496593i
$716$	−1.96324			−0.0733697
$717$	7.36487	+	2.39299i	0.275046	+	0.0893679i
$718$	−4.13656	−	5.69349i	−0.154375	−	0.212479i
$719$	23.7524	+	17.2571i	0.885814	+	0.643582i	0.934783	−	0.355218i	$-0.115594\pi$
$719$	23.7524	+	17.2571i	0.885814	+	0.643582i	−0.0489689	+	0.998800i	$0.515594\pi$
$720$	0.119274	+	0.0303139i	0.00444509	+	0.00112973i
$721$	2.47400	+	7.61420i	0.0921367	+	0.283568i
$722$	−6.49706	+	8.94243i	−0.241795	+	0.332803i
$723$	−9.94801	−	13.6923i	−0.369970	−	0.509221i
$724$	0.332419	−	1.02308i	0.0123543	−	0.0380225i
$725$	7.69084	+	16.1386i	0.285630	+	0.599373i
$726$	−15.5461	+	0.147093i	−0.576970	+	0.00545912i
$727$			44.0893i			1.63518i	0.575799	+	0.817591i	$0.304691\pi$
$727$			44.0893i			1.63518i	−0.575799	+	0.817591i	$0.695309\pi$
$728$	−2.72254	−	0.884606i	−0.100904	−	0.0327857i
$729$	21.0659	−	15.3052i	0.780217	−	0.566861i
$730$	11.3751	−	4.53590i	0.421010	−	0.167881i
$731$	20.8184	+	64.0723i	0.769995	+	2.36980i
$732$	−7.81296	+	2.53858i	−0.288775	+	0.0938287i
$733$	28.7715	−	39.6006i	1.06270	−	1.46268i	0.185446	−	0.982654i	$-0.440627\pi$
$733$	28.7715	−	39.6006i	1.06270	−	1.46268i	0.877254	−	0.480026i	$-0.159373\pi$
$734$	−3.49526	+	2.53946i	−0.129012	+	0.0937331i
$735$	20.1309	−	16.7368i	0.742541	−	0.617346i
$736$	8.68849			0.320262
$737$	−18.1605	+	13.3261i	−0.668949	+	0.490872i
$738$		−	0.676520i		−	0.0249031i
$739$	6.38498	−	19.6509i	0.234875	−	0.722872i	−0.762263	−	0.647268i	$-0.775912\pi$
$739$	6.38498	−	19.6509i	0.234875	−	0.722872i	0.997138	−	0.0756039i	$-0.0240884\pi$
$740$	22.1952	−	1.45087i	0.815910	−	0.0533351i
$741$	−5.84692	−	4.24804i	−0.214792	−	0.156056i
$742$	−1.07712	+	0.349977i	−0.0395423	+	0.0128481i
$743$	−28.6868	+	9.32091i	−1.05242	+	0.341951i	−0.783617	−	0.621245i	$-0.786627\pi$
$743$	−28.6868	+	9.32091i	−1.05242	+	0.341951i	−0.268801	+	0.963196i	$0.586627\pi$
$744$	−23.6634	−	17.1924i	−0.867541	−	0.630305i
$745$	1.82335	+	27.8933i	0.0668025	+	1.02193i
$746$	0.799830	−	2.46162i	0.0292839	−	0.0901264i
$747$			0.595525i			0.0217891i
$748$	9.97615	+	30.2163i	0.364764	+	1.10482i
$749$	3.31838			0.121251
$750$	6.62301	−	14.3467i	0.241838	−	0.523869i
$751$	−9.78637	+	7.11021i	−0.357110	+	0.259455i	−0.751846	−	0.659339i	$-0.770836\pi$
$751$	−9.78637	+	7.11021i	−0.357110	+	0.259455i	0.394736	+	0.918795i	$0.370836\pi$
$752$	0.623562	−	0.858259i	0.0227390	−	0.0312975i
$753$	22.4737	−	7.30213i	0.818986	−	0.266105i
$754$	1.59187	+	4.89929i	0.0579726	+	0.178421i
$755$	17.4522	−	6.95919i	0.635149	−	0.253271i
$756$	−3.31568	+	2.40898i	−0.120590	+	0.0876138i
$757$	−19.6013	−	6.36886i	−0.712423	−	0.231480i	−0.0696881	−	0.997569i	$-0.522200\pi$
$757$	−19.6013	−	6.36886i	−0.712423	−	0.231480i	−0.642735	+	0.766089i	$0.722200\pi$
$758$			15.7838i			0.573293i
$759$	8.29245	+	2.65108i	0.300997	+	0.0962280i
$760$	−11.6476	−	7.35192i	−0.422503	−	0.266682i
$761$	6.44146	−	19.8248i	0.233503	−	0.718648i	−0.763814	−	0.645437i	$-0.776675\pi$
$761$	6.44146	−	19.8248i	0.233503	−	0.718648i	0.997316	−	0.0732111i	$-0.0233247\pi$
$762$	13.3389	+	18.3595i	0.483219	+	0.665093i
$763$	−6.47339	+	8.90985i	−0.234352	+	0.322558i
$764$	−3.41437	−	10.5084i	−0.123528	−	0.380179i
$765$	−0.390630	+	1.53699i	−0.0141233	+	0.0555700i
$766$	18.1670	+	13.1991i	0.656399	+	0.476902i
$767$	−0.0403834	−	0.0555830i	−0.00145816	−	0.00200699i
$768$	23.7944	+	7.73127i	0.858607	+	0.278978i
$769$	−10.7167			−0.386455			−0.193228	−	0.981154i	$-0.561896\pi$
$769$	−10.7167			−0.386455			−0.193228	+	0.981154i	$0.561896\pi$
$770$	−2.98954	−	1.86727i	−0.107736	−	0.0672917i
$771$	19.0466			0.685946
$772$	−5.63223	−	1.83002i	−0.202708	−	0.0658639i
$773$	11.9651	+	16.4686i	0.430355	+	0.592333i	0.968035	−	0.250816i	$-0.0806990\pi$
$773$	11.9651	+	16.4686i	0.430355	+	0.592333i	−0.537679	+	0.843149i	$0.680699\pi$
$774$	0.619498	+	0.450092i	0.0222674	+	0.0161782i
$775$	22.3752	−	21.2184i	0.803739	−	0.762189i
$776$	4.47456	+	13.7713i	0.160627	+	0.494361i
$777$	4.49630	−	6.18863i	0.161304	−	0.222016i
$778$	6.15247	+	8.46814i	0.220577	+	0.303598i
$779$	5.94326	−	18.2915i	0.212939	−	0.655360i
$780$	−5.11353	+	8.10134i	−0.183094	+	0.290074i
$781$	22.8410	−	31.7528i	0.817317	−	1.13620i
$782$			8.46898i			0.302850i
$783$	17.3622	+	5.64131i	0.620474	+	0.201604i
$784$	−2.95442	+	2.14651i	−0.105515	+	0.0766612i
$785$	−11.5918	−	29.0698i	−0.413729	−	1.03755i
$786$	7.87438	+	24.2348i	0.280870	+	0.864428i
$787$	13.5261	−	4.39491i	0.482154	−	0.156661i	−0.0578472	−	0.998325i	$-0.518424\pi$
$787$	13.5261	−	4.39491i	0.482154	−	0.156661i	0.540002	+	0.841664i	$0.318424\pi$
$788$	−12.4727	+	17.1671i	−0.444320	+	0.611554i
$789$	−35.0919	+	25.4958i	−1.24930	+	0.907673i
$790$	6.24680	−	5.19357i	0.222251	−	0.184779i
$791$	−6.98764			−0.248452
$792$	0.726764	+	0.522790i	0.0258244	+	0.0185765i
$793$		−	6.17726i		−	0.219361i
$794$	−0.452049	+	1.39126i	−0.0160426	+	0.0493741i
$795$	0.611974	+	9.36186i	0.0217045	+	0.332031i
$796$	1.57748	+	1.14610i	0.0559122	+	0.0406226i
$797$	−42.8341	+	13.9176i	−1.51726	+	0.492988i	−0.944996	−	0.327081i	$-0.893935\pi$
$797$	−42.8341	+	13.9176i	−1.51726	+	0.492988i	−0.572264	+	0.820069i	$0.693935\pi$
$798$	−1.82007	+	0.591377i	−0.0644298	+	0.0209345i
$799$	11.0597	+	8.03534i	0.391264	+	0.284270i
$800$	−13.9134	+	25.6041i	−0.491913	+	0.905240i
$801$	−0.192423	+	0.592218i	−0.00679894	+	0.0209250i
$802$			4.31920i			0.152516i
$803$	−22.6283	+	0.107049i	−0.798534	+	0.00377766i
$804$	16.2115			0.571737
$805$	1.26187	+	1.51776i	0.0444749	+	0.0534942i
$806$	7.18851	−	5.22276i	0.253204	−	0.183964i
$807$	−4.96875	+	6.83889i	−0.174908	+	0.240740i
$808$	25.4416	−	8.26649i	0.895034	−	0.290814i
$809$	−7.34698	−	22.6117i	−0.258306	−	0.794984i	−0.993160	−	0.116759i	$-0.962749\pi$
$809$	−7.34698	−	22.6117i	−0.258306	−	0.794984i	0.734854	−	0.678225i	$-0.237251\pi$
$810$	−6.17657	−	15.4895i	−0.217023	−	0.544246i
$811$	6.63288	−	4.81907i	0.232912	−	0.169220i	−0.465208	−	0.885202i	$-0.654020\pi$
$811$	6.63288	−	4.81907i	0.232912	−	0.169220i	0.698120	+	0.715981i	$0.254020\pi$
$812$	−2.72957	−	0.886893i	−0.0957893	−	0.0311238i
$813$		−	41.0787i		−	1.44069i
$814$	18.6064	+	5.94841i	0.652152	+	0.208492i
$815$	−22.3910	−	14.1331i	−0.784323	−	0.495062i
$816$	2.11478	−	6.50864i	0.0740322	−	0.227848i
$817$	12.7957	+	17.6117i	0.447663	+	0.616156i
$818$	17.3071	−	23.8212i	0.605130	−	0.832890i
$819$	0.0329109	+	0.101289i	0.00115000	+	0.00353933i
$820$	−24.7090	−	6.27985i	−0.862875	−	0.219302i
$821$	35.1415	+	25.5318i	1.22645	+	0.891066i	0.996619	−	0.0821658i	$-0.0261837\pi$
$821$	35.1415	+	25.5318i	1.22645	+	0.891066i	0.229828	+	0.973231i	$0.426184\pi$
$822$	3.34962	+	4.61036i	0.116831	+	0.160805i
$823$	−49.1507	−	15.9700i	−1.71328	−	0.556680i	−0.722410	−	0.691465i	$-0.756966\pi$
$823$	−49.1507	−	15.9700i	−1.71328	−	0.556680i	−0.990875	+	0.134785i	$0.956966\pi$
$824$	36.4211			1.26879
$825$	−21.0916	+	20.1916i	−0.734316	+	0.702982i
$826$	−0.0181927			−0.000633004
$827$	−24.0692	−	7.82057i	−0.836970	−	0.271948i	−0.140991	−	0.990011i	$-0.545029\pi$
$827$	−24.0692	−	7.82057i	−0.836970	−	0.271948i	−0.695978	+	0.718063i	$0.745029\pi$
$828$	−0.119047	−	0.163854i	−0.00413717	−	0.00569432i
$829$	−33.8784	−	24.6141i	−1.17665	−	0.854883i	−0.184856	−	0.982766i	$-0.559182\pi$
$829$	−33.8784	−	24.6141i	−1.17665	−	0.854883i	−0.991789	+	0.127883i	$0.959182\pi$
$830$	−10.3377	−	2.62736i	−0.358827	−	0.0911968i
$831$	11.9143	+	36.6684i	0.413302	+	1.27201i
$832$	−3.77668	+	5.19815i	−0.130933	+	0.180213i
$833$	−27.6604	−	38.0713i	−0.958376	−	1.31909i
$834$	−3.46556	+	10.6659i	−0.120003	+	0.369330i
$835$	16.5005	+	10.4151i	0.571024	+	0.360428i
$836$	6.08303	+	8.28982i	0.210386	+	0.286710i
$837$		−	31.4885i		−	1.08840i
$838$	−2.18817	−	0.710980i	−0.0755891	−	0.0245604i
$839$	−11.6376	+	8.45518i	−0.401773	+	0.291905i	−0.770263	−	0.637727i	$-0.779875\pi$
$839$	−11.6376	+	8.45518i	−0.401773	+	0.291905i	0.368490	+	0.929632i	$0.379875\pi$
$840$	2.32582	+	5.83267i	0.0802486	+	0.201246i
$841$	−5.01097	−	15.4222i	−0.172792	−	0.531800i
$842$	−3.55731	+	1.15584i	−0.122593	+	0.0398329i
$843$	−16.3266	+	22.4716i	−0.562318	+	0.773965i
$844$	−9.52134	+	6.91766i	−0.327738	+	0.238116i
$845$	13.9785	+	16.8132i	0.480874	+	0.578393i
$846$	0.155383			0.00534218
$847$	3.87801	+	5.23278i	0.133250	+	0.179800i
$848$		−	1.30870i		−	0.0449408i
$849$	12.3016	−	37.8605i	0.422190	−	1.29937i
$850$	−24.9572	−	13.5619i	−0.856024	−	0.465169i
$851$	−8.84960	−	6.42961i	−0.303360	−	0.220404i
$852$	−26.7732	+	8.69914i	−0.917235	+	0.298028i
$853$	−40.8968	+	13.2882i	−1.40028	+	0.454978i	−0.909281	−	0.416183i	$-0.863368\pi$
$853$	−40.8968	+	13.2882i	−1.40028	+	0.454978i	−0.490998	+	0.871161i	$0.663368\pi$
$854$	−1.32332	−	0.961450i	−0.0452832	−	0.0329001i
$855$	0.0334263	+	0.511349i	0.00114315	+	0.0174878i
$856$	4.66492	−	14.3571i	0.159444	−	0.490717i
$857$		−	54.3052i		−	1.85503i	−0.373784	−	0.927516i	$-0.621940\pi$
$857$		−	54.3052i		−	1.85503i	0.373784	−	0.927516i	$-0.378060\pi$
$858$	−6.78328	+	4.97754i	−0.231578	+	0.169931i
$859$	−24.3361			−0.830336			−0.415168	−	0.909745i	$-0.636277\pi$
$859$	−24.3361			−0.830336			−0.415168	+	0.909745i	$0.636277\pi$
$860$	22.1895	−	18.4483i	0.756656	−	0.629082i
$861$	−7.09344	+	5.15369i	−0.241744	+	0.175637i
$862$	9.79917	−	13.4874i	0.333761	−	0.459383i
$863$	37.2339	−	12.0980i	1.26746	−	0.411822i	0.403312	−	0.915063i	$-0.367859\pi$
$863$	37.2339	−	12.0980i	1.26746	−	0.411822i	0.864146	+	0.503241i	$0.167859\pi$
$864$	9.19531	+	28.3003i	0.312831	+	0.962795i
$865$	−7.60200	−	19.0642i	−0.258476	−	0.648202i
$866$	−8.31045	+	6.03789i	−0.282400	+	0.205176i
$867$	55.4039	+	18.0018i	1.88162	+	0.611374i
$868$			4.95043i			0.168029i
$869$	−14.2544	+	4.70621i	−0.483548	+	0.159647i
$870$	6.03138	−	9.55548i	0.204483	−	0.323961i
$871$	−3.76698	+	11.5936i	−0.127639	+	0.392833i
$872$	29.4487	+	40.5327i	0.997260	+	1.37261i
$873$	0.316648	−	0.435828i	0.0107169	−	0.0147505i
$874$	0.845656	+	2.60266i	0.0286047	+	0.0880363i
$875$	−6.49339	+	1.28809i	−0.219517	+	0.0435456i
$876$	13.1755	+	9.57259i	0.445160	+	0.323428i
$877$	−25.3266	−	34.8591i	−0.855219	−	1.17711i	−0.982689	−	0.185265i	$-0.940686\pi$
$877$	−25.3266	−	34.8591i	−0.855219	−	1.17711i	0.127470	−	0.991842i	$-0.459314\pi$
$878$	8.10808	+	2.63447i	0.273634	+	0.0889092i
$879$	−23.3468			−0.787466
$880$	3.11958	−	2.61867i	0.105161	−	0.0882753i
$881$	−38.1083			−1.28390			−0.641950	−	0.766746i	$-0.721874\pi$
$881$	−38.1083			−1.28390			−0.641950	+	0.766746i	$0.721874\pi$
$882$	−0.508703	−	0.165288i	−0.0171289	−	0.00556552i
$883$	17.0611	+	23.4826i	0.574152	+	0.790252i	0.993039	−	0.117786i	$-0.0375797\pi$
$883$	17.0611	+	23.4826i	0.574152	+	0.790252i	−0.418887	+	0.908038i	$0.637580\pi$
$884$	13.9318	+	10.1220i	0.468577	+	0.340441i
$885$	−0.0371219	+	0.146061i	−0.00124784	+	0.00490980i
$886$	−1.63685	−	5.03771i	−0.0549911	−	0.169245i
$887$	1.30003	−	1.78934i	0.0436508	−	0.0600801i	−0.786634	−	0.617420i	$-0.788178\pi$
$887$	1.30003	−	1.78934i	0.0436508	−	0.0600801i	0.830284	+	0.557340i	$0.188178\pi$
$888$	−20.4546	−	28.1533i	−0.686411	−	0.944764i
$889$	2.93788	−	9.04186i	0.0985332	−	0.303254i
$890$	−9.43136	−	5.95304i	−0.316140	−	0.199546i
$891$	0.145769	+	30.8131i	0.00488344	+	1.03228i
$892$		−	8.54894i		−	0.286240i
$893$	4.20118	+	1.36505i	0.140587	+	0.0456796i
$894$	14.2938	−	10.3850i	0.478055	−	0.347327i
$895$	−3.00787	+	1.19941i	−0.100542	+	0.0400920i
$896$	−1.60695	−	4.94569i	−0.0536845	−	0.165224i
$897$	4.48087	−	1.45592i	0.149612	−	0.0486118i
$898$	−6.42991	+	8.85002i	−0.214569	+	0.295329i
$899$	17.8396	−	12.9612i	0.594983	−	0.432280i
$900$	0.673497	−	0.0884293i	0.0224499	−	0.00294764i
$901$	16.8641			0.561825
$902$	−18.1760	−	13.0747i	−0.605195	−	0.435340i
$903$		−	9.92432i		−	0.330261i
$904$	−9.82309	+	30.2323i	−0.326711	+	1.00551i
$905$	−0.115739	−	1.77055i	−0.00384728	−	0.0588549i
$906$	−9.60757	−	6.98031i	−0.319190	−	0.231905i
$907$	−25.3802	+	8.24653i	−0.842736	+	0.273822i	−0.698401	−	0.715707i	$-0.746105\pi$
$907$	−25.3802	+	8.24653i	−0.842736	+	0.273822i	−0.144336	+	0.989529i	$0.546105\pi$
$908$	−1.43993	+	0.467861i	−0.0477857	+	0.0155265i
$909$	−0.805166	−	0.584988i	−0.0267057	−	0.0194028i
$910$	−1.90347	+	0.124428i	−0.0630995	+	0.00412475i
$911$	−11.2092	+	34.4983i	−0.371376	+	1.14298i	0.574515	+	0.818494i	$0.305191\pi$
$911$	−11.2092	+	34.4983i	−0.371376	+	1.14298i	−0.945891	+	0.324484i	$0.894809\pi$
$912$		−	2.21138i		−	0.0732261i
$913$	15.9999	+	11.5094i	0.529520	+	0.380904i
$914$	−10.8363			−0.358434
$915$	−10.4193	+	8.66258i	−0.344451	+	0.286376i
$916$	−4.60220	+	3.34369i	−0.152061	+	0.110479i
$917$	6.27482	−	8.63655i	0.207213	−	0.285204i
$918$	−27.5853	+	8.96300i	−0.910450	+	0.295823i
$919$	9.16908	+	28.2195i	0.302460	+	0.930876i	0.980613	+	0.195955i	$0.0627808\pi$
$919$	9.16908	+	28.2195i	0.302460	+	0.930876i	−0.678153	+	0.734921i	$0.737219\pi$
$920$	8.34059	−	3.32588i	0.274981	−	0.109651i
$921$	14.2677	−	10.3661i	0.470135	−	0.341573i
$922$	8.64311	+	2.80832i	0.284646	+	0.0924870i
$923$		−	21.1680i		−	0.696754i
$924$	−0.0221753	−	4.68749i	−0.000729514	−	0.154207i
$925$	33.1188	−	15.7827i	1.08894	−	0.518932i
$926$	1.19805	−	3.68720i	0.0393702	−	0.121169i
$927$	−0.796455	−	1.09623i	−0.0261590	−	0.0360048i
$928$	−12.2483	+	16.8584i	−0.402071	+	0.553403i
$929$	−8.58220	−	26.4133i	−0.281573	−	0.866592i	−0.987405	−	0.158213i	$-0.949427\pi$
$929$	−8.58220	−	26.4133i	−0.281573	−	0.866592i	0.705832	−	0.708379i	$-0.250573\pi$
$930$	−18.8900	−	4.80095i	−0.619428	−	0.157429i
$931$	−12.3020	−	8.93795i	−0.403183	−	0.292930i
$932$	5.40219	+	7.43548i	0.176955	+	0.243557i
$933$	5.70735	+	1.85443i	0.186850	+	0.0607113i
$934$	19.2786			0.630817
$935$	33.7447	+	40.1995i	1.10357	+	1.31467i
$936$	0.484498			0.0158363
$937$	28.7620	+	9.34532i	0.939612	+	0.305298i	0.738487	−	0.674267i	$-0.235540\pi$
$937$	28.7620	+	9.34532i	0.939612	+	0.305298i	0.201125	+	0.979566i	$0.435540\pi$
$938$	1.89733	+	2.61144i	0.0619499	+	0.0852667i
$939$	−34.9007	−	25.3568i	−1.13894	−	0.827489i
$940$	1.44236	−	5.67515i	0.0470445	−	0.185103i
$941$	−1.85618	−	5.71273i	−0.0605097	−	0.186230i	0.916232	−	0.400647i	$-0.131215\pi$
$941$	−1.85618	−	5.71273i	−0.0605097	−	0.186230i	−0.976742	+	0.214418i	$0.931215\pi$
$942$	−11.6270	+	16.0032i	−0.378828	+	0.521412i
$943$	7.36966	+	10.1435i	0.239989	+	0.330317i
$944$	0.00649622	−	0.0199933i	0.000211434	−	0.000650727i
$945$	−3.60821	+	5.71646i	−0.117375	+	0.185956i
$946$	24.0652	−	7.94533i	0.782428	−	0.258325i
$947$		−	10.0218i		−	0.325665i	−0.986654	−	0.162833i	$-0.947937\pi$
$947$		−	10.0218i		−	0.325665i	0.986654	−	0.162833i	$-0.0520630\pi$
$948$	10.2749	+	3.33851i	0.333713	+	0.108430i
$949$	−9.90729	+	7.19807i	−0.321604	+	0.233659i
$950$	−9.02396	−	1.67574i	−0.292776	−	0.0543681i
$951$	−3.80244	−	11.7027i	−0.123303	−	0.379486i
$952$	10.7348	−	3.48794i	0.347916	−	0.113045i
$953$	−5.74934	+	7.91329i	−0.186239	+	0.256336i	−0.891920	−	0.452194i	$-0.850641\pi$
$953$	−5.74934	+	7.91329i	−0.186239	+	0.256336i	0.705680	+	0.708530i	$0.250641\pi$
$954$	0.155074	−	0.112668i	0.00502071	−	0.00364776i
$955$	−11.6511	−	14.0139i	−0.377021	−	0.453478i
$956$	−5.96237			−0.192837
$957$	−16.8339	+	12.3527i	−0.544164	+	0.399305i
$958$		−	34.6967i		−	1.12100i
$959$	0.737749	−	2.27056i	0.0238231	−	0.0733201i
$960$	14.0640	−	0.919346i	0.453913	−	0.0296718i
$961$	−5.69127	−	4.13495i	−0.183589	−	0.133385i
$962$	10.0540	−	3.26676i	0.324155	−	0.105324i
$963$	−0.534142	+	0.173553i	−0.0172125	+	0.00559268i
$964$	10.5423	+	7.65942i	0.339544	+	0.246693i
$965$	−9.74715	+	0.637160i	−0.313772	+	0.0205109i
$966$	0.385523	−	1.18652i	0.0124040	−	0.0381756i
$967$			1.22635i			0.0394367i	0.999806	+	0.0197184i	$0.00627695\pi$
$967$			1.22635i			0.0394367i	−0.999806	+	0.0197184i	$0.993723\pi$
$968$	28.0915	−	9.42224i	0.902895	−	0.302842i
$969$	28.4963			0.915432
$970$	6.16853	+	7.41948i	0.198060	+	0.238225i
$971$	36.1199	−	26.2426i	1.15914	−	0.842167i	0.169473	−	0.985535i	$-0.445793\pi$
$971$	36.1199	−	26.2426i	1.15914	−	0.842167i	0.989669	+	0.143368i	$0.0457933\pi$
$972$	0.829522	−	1.14174i	0.0266069	−	0.0366213i
$973$	4.46834	−	1.45185i	0.143248	−	0.0465442i
$974$	−10.4083	−	32.0335i	−0.333503	−	1.02642i
$975$	−2.88503	+	15.5361i	−0.0923949	+	0.497553i
$976$	1.52914	−	1.11099i	0.0489466	−	0.0355618i
$977$	44.9328	+	14.5996i	1.43753	+	0.467081i	0.921126	−	0.389265i	$-0.127271\pi$
$977$	44.9328	+	14.5996i	1.43753	+	0.467081i	0.516402	+	0.856346i	$0.327271\pi$
$978$			16.7361i			0.535162i
$979$	12.1922	+	16.6153i	0.389665	+	0.531026i
$980$	−10.7590	+	17.0454i	−0.343683	+	0.544495i
$981$	0.575996	−	1.77273i	0.0183901	−	0.0565991i
$982$	4.27456	+	5.88343i	0.136407	+	0.187748i
$983$	8.19082	−	11.2737i	0.261247	−	0.359575i	−0.658164	−	0.752875i	$-0.728667\pi$
$983$	8.19082	−	11.2737i	0.261247	−	0.359575i	0.919410	+	0.393300i	$0.128667\pi$
$984$	12.3259	+	37.9351i	0.392934	+	1.20933i
$985$	−8.62130	+	33.9217i	−0.274698	+	1.08084i
$986$	−16.4325	−	11.9389i	−0.523316	−	0.380211i
$987$	−1.18370	−	1.62922i	−0.0376775	−	0.0518587i
$988$	5.29219	+	1.71954i	0.168367	+	0.0547058i
$989$	−14.1916			−0.451265
$990$	0.578870	+	0.144209i	0.0183977	+	0.00458328i
$991$	36.5755			1.16186			0.580930	−	0.813953i	$-0.302689\pi$
$991$	36.5755			1.16186			0.580930	+	0.813953i	$0.302689\pi$
$992$	34.1837	+	11.1070i	1.08533	+	0.352646i
$993$	5.84037	+	8.03858i	0.185339	+	0.255097i
$994$	−4.53472	−	3.29467i	−0.143833	−	0.104501i
$995$	3.11705	+	0.792206i	0.0988170	+	0.0251146i
$996$	−4.38341	−	13.4907i	−0.138894	−	0.427470i
$997$	−11.3687	+	15.6476i	−0.360049	+	0.495565i	−0.950162	−	0.311755i	$-0.899083\pi$
$997$	−11.3687	+	15.6476i	−0.360049	+	0.495565i	0.590113	+	0.807320i	$0.299083\pi$
$998$	14.2862	+	19.6633i	0.452222	+	0.622431i
$999$	11.5768	−	35.6297i	0.366273	−	1.12727i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	55.2.j.a.9.3	yes	16
3.2	odd	2		495.2.ba.a.64.2		16
4.3	odd	2		880.2.cd.c.449.2		16
5.2	odd	4		275.2.h.d.251.2		16
5.3	odd	4		275.2.h.d.251.3		16
5.4	even	2	inner	55.2.j.a.9.2	✓	16
11.2	odd	10		605.2.j.g.124.3		16
11.3	even	5		605.2.j.h.444.3		16
11.4	even	5		605.2.b.g.364.5		8
11.5	even	5	inner	55.2.j.a.49.2	yes	16
11.6	odd	10		605.2.j.d.269.3		16
11.7	odd	10		605.2.b.f.364.4		8
11.8	odd	10		605.2.j.g.444.2		16
11.9	even	5		605.2.j.h.124.2		16
11.10	odd	2		605.2.j.d.9.2		16
15.14	odd	2		495.2.ba.a.64.3		16
20.19	odd	2		880.2.cd.c.449.3		16
33.5	odd	10		495.2.ba.a.379.3		16
44.27	odd	10		880.2.cd.c.49.3		16
55.4	even	10		605.2.b.g.364.4		8
55.7	even	20		3025.2.a.bk.1.5		8
55.9	even	10		605.2.j.h.124.3		16
55.14	even	10		605.2.j.h.444.2		16
55.18	even	20		3025.2.a.bk.1.4		8
55.19	odd	10		605.2.j.g.444.3		16
55.24	odd	10		605.2.j.g.124.2		16
55.27	odd	20		275.2.h.d.126.2		16
55.29	odd	10		605.2.b.f.364.5		8
55.37	odd	20		3025.2.a.bl.1.4		8
55.38	odd	20		275.2.h.d.126.3		16
55.39	odd	10		605.2.j.d.269.2		16
55.48	odd	20		3025.2.a.bl.1.5		8
55.49	even	10	inner	55.2.j.a.49.3	yes	16
55.54	odd	2		605.2.j.d.9.3		16
165.104	odd	10		495.2.ba.a.379.2		16
220.159	odd	10		880.2.cd.c.49.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.j.a.9.2	✓	16	5.4	even	2	inner
55.2.j.a.9.3	yes	16	1.1	even	1	trivial
55.2.j.a.49.2	yes	16	11.5	even	5	inner
55.2.j.a.49.3	yes	16	55.49	even	10	inner
275.2.h.d.126.2		16	55.27	odd	20
275.2.h.d.126.3		16	55.38	odd	20
275.2.h.d.251.2		16	5.2	odd	4
275.2.h.d.251.3		16	5.3	odd	4
495.2.ba.a.64.2		16	3.2	odd	2
495.2.ba.a.64.3		16	15.14	odd	2
495.2.ba.a.379.2		16	165.104	odd	10
495.2.ba.a.379.3		16	33.5	odd	10
605.2.b.f.364.4		8	11.7	odd	10
605.2.b.f.364.5		8	55.29	odd	10
605.2.b.g.364.4		8	55.4	even	10
605.2.b.g.364.5		8	11.4	even	5
605.2.j.d.9.2		16	11.10	odd	2
605.2.j.d.9.3		16	55.54	odd	2
605.2.j.d.269.2		16	55.39	odd	10
605.2.j.d.269.3		16	11.6	odd	10
605.2.j.g.124.2		16	55.24	odd	10
605.2.j.g.124.3		16	11.2	odd	10
605.2.j.g.444.2		16	11.8	odd	10
605.2.j.g.444.3		16	55.19	odd	10
605.2.j.h.124.2		16	11.9	even	5
605.2.j.h.124.3		16	55.9	even	10
605.2.j.h.444.2		16	55.14	even	10
605.2.j.h.444.3		16	11.3	even	5
880.2.cd.c.49.2		16	220.159	odd	10
880.2.cd.c.49.3		16	44.27	odd	10
880.2.cd.c.449.2		16	4.3	odd	2
880.2.cd.c.449.3		16	20.19	odd	2
3025.2.a.bk.1.4		8	55.18	even	20
3025.2.a.bk.1.5		8	55.7	even	20
3025.2.a.bl.1.4		8	55.37	odd	20
3025.2.a.bl.1.5		8	55.48	odd	20

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:	\( N \)	\(=\)	\( 55 = 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	55.j (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.763412 + 0.248048i) q^{2} +(1.03494 + 1.42447i) q^{3} +(-1.09676 - 0.796845i) q^{4} +(-2.16717 - 0.550792i) q^{5} +(0.436748 + 1.34417i) q^{6} +(0.348029 - 0.479022i) q^{7} +(-1.58326 - 2.17917i) q^{8} +(-0.0309674 + 0.0953077i) q^{9} +O(q^{10})\)	\(q+(0.763412 + 0.248048i) q^{2} +(1.03494 + 1.42447i) q^{3} +(-1.09676 - 0.796845i) q^{4} +(-2.16717 - 0.550792i) q^{5} +(0.436748 + 1.34417i) q^{6} +(0.348029 - 0.479022i) q^{7} +(-1.58326 - 2.17917i) q^{8} +(-0.0309674 + 0.0953077i) q^{9} +(-1.51782 - 0.958043i) q^{10} +(1.96213 + 2.67395i) q^{11} -2.38699i q^{12} +(1.70704 + 0.554651i) q^{13} +(0.384510 - 0.279363i) q^{14} +(-1.45830 - 3.65711i) q^{15} +(0.169713 + 0.522322i) q^{16} +(-6.73074 + 2.18695i) q^{17} +(-0.0472817 + 0.0650777i) q^{18} +(-1.85009 + 1.34417i) q^{19} +(1.93798 + 2.33099i) q^{20} +1.04254 q^{21} +(0.834650 + 2.52803i) q^{22} -1.49081i q^{23} +(1.46558 - 4.51060i) q^{24} +(4.39326 + 2.38732i) q^{25} +(1.16560 + 0.846855i) q^{26} +(4.85588 - 1.57777i) q^{27} +(-0.763412 + 0.248048i) q^{28} +(2.89263 + 2.10162i) q^{29} +(-0.206148 - 3.15361i) q^{30} +(1.90578 - 5.86539i) q^{31} +5.82804i q^{32} +(-1.77828 + 5.56238i) q^{33} -5.68079 q^{34} +(-1.01808 + 0.846429i) q^{35} +(0.109909 - 0.0798539i) q^{36} +(4.31283 - 5.93610i) q^{37} +(-1.74580 + 0.567246i) q^{38} +(0.976598 + 3.00566i) q^{39} +(2.23092 + 5.59467i) q^{40} +(-6.80400 + 4.94339i) q^{41} +(0.795888 + 0.258600i) q^{42} -9.51936i q^{43} +(-0.0212704 - 4.49621i) q^{44} +(0.119606 - 0.189492i) q^{45} +(0.369792 - 1.13810i) q^{46} +(-1.13540 - 1.56274i) q^{47} +(-0.568389 + 0.782321i) q^{48} +(2.05478 + 6.32397i) q^{49} +(2.76170 + 2.91225i) q^{50} +(-10.0811 - 7.32438i) q^{51} +(-1.43025 - 1.96857i) q^{52} +(-2.26628 - 0.736359i) q^{53} +4.09840 q^{54} +(-2.77949 - 6.87564i) q^{55} -1.59489 q^{56} +(-3.82947 - 1.24427i) q^{57} +(1.68697 + 2.32192i) q^{58} +(-0.0309674 - 0.0224991i) q^{59} +(-1.31474 + 5.17302i) q^{60} +(-1.06351 - 3.27314i) q^{61} +(2.90979 - 4.00499i) q^{62} +(0.0348769 + 0.0480039i) q^{63} +(-1.10621 + 3.40455i) q^{64} +(-3.39395 - 2.14225i) q^{65} +(-2.73729 + 3.80529i) q^{66} +6.79162i q^{67} +(9.12469 + 2.96479i) q^{68} +(2.12361 - 1.54290i) q^{69} +(-0.987170 + 0.393642i) q^{70} +(-3.64439 - 11.2163i) q^{71} +(0.256721 - 0.0834136i) q^{72} +(-4.01031 + 5.51972i) q^{73} +(4.76490 - 3.46191i) q^{74} +(1.14608 + 8.72879i) q^{75} +3.10021 q^{76} +(1.96376 - 0.00929006i) q^{77} +2.53680i q^{78} +(-1.39863 + 4.30453i) q^{79} +(-0.0801054 - 1.22544i) q^{80} +(7.51625 + 5.46087i) q^{81} +(-6.42045 + 2.08613i) q^{82} +(5.65177 - 1.83637i) q^{83} +(-1.14342 - 0.830744i) q^{84} +(15.7912 - 1.03225i) q^{85} +(2.36125 - 7.26720i) q^{86} +6.29552i q^{87} +(2.72042 - 8.50937i) q^{88} +6.21375 q^{89} +(0.138312 - 0.114992i) q^{90} +(0.859791 - 0.624675i) q^{91} +(-1.18795 + 1.63507i) q^{92} +(10.3274 - 3.35559i) q^{93} +(-0.479142 - 1.47465i) q^{94} +(4.74983 - 1.89403i) q^{95} +(-8.30186 + 6.03166i) q^{96} +(-5.11260 - 1.66119i) q^{97} +5.33748i q^{98} +(-0.315611 + 0.104201i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9}+O(q^{10}) \) 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9	\( 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9} - 6 q^{11} - 12 q^{14} - 16 q^{15} + 16 q^{16} + 6 q^{19} - 8 q^{20} + 8 q^{21} + 6 q^{24} - 16 q^{25} + 40 q^{26} + 2 q^{29} + 26 q^{30} + 8 q^{31} - 16 q^{34} + 22 q^{35} + 10 q^{36} + 30 q^{39} + 12 q^{40} - 52 q^{41} + 4 q^{44} + 12 q^{45} - 62 q^{46} - 10 q^{49} + 28 q^{50} - 42 q^{51} - 40 q^{54} - 8 q^{55} - 20 q^{56} + 2 q^{59} - 32 q^{60} - 40 q^{61} - 8 q^{64} - 40 q^{65} + 58 q^{66} + 26 q^{69} - 34 q^{70} + 36 q^{71} + 48 q^{74} - 20 q^{75} + 56 q^{76} + 38 q^{79} + 34 q^{80} + 68 q^{81} + 12 q^{84} + 58 q^{85} + 22 q^{86} + 24 q^{89} + 78 q^{90} - 20 q^{91} + 14 q^{94} + 48 q^{95} - 86 q^{96} - 72 q^{99}+O(q^{100}) \) 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9 - 6 * q^11 - 12 * q^14 - 16 * q^15 + 16 * q^16 + 6 * q^19 - 8 * q^20 + 8 * q^21 + 6 * q^24 - 16 * q^25 + 40 * q^26 + 2 * q^29 + 26 * q^30 + 8 * q^31 - 16 * q^34 + 22 * q^35 + 10 * q^36 + 30 * q^39 + 12 * q^40 - 52 * q^41 + 4 * q^44 + 12 * q^45 - 62 * q^46 - 10 * q^49 + 28 * q^50 - 42 * q^51 - 40 * q^54 - 8 * q^55 - 20 * q^56 + 2 * q^59 - 32 * q^60 - 40 * q^61 - 8 * q^64 - 40 * q^65 + 58 * q^66 + 26 * q^69 - 34 * q^70 + 36 * q^71 + 48 * q^74 - 20 * q^75 + 56 * q^76 + 38 * q^79 + 34 * q^80 + 68 * q^81 + 12 * q^84 + 58 * q^85 + 22 * q^86 + 24 * q^89 + 78 * q^90 - 20 * q^91 + 14 * q^94 + 48 * q^95 - 86 * q^96 - 72 * q^99

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