LMFDB - Embedded newform 273.2.bv.b.2.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(2,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 1]))

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

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

chi := DirichletCharacter("273.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bv (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			2.10
Character	$\chi$	$=$	273.2
Dual form			273.2.bv.b.137.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.824043 - 0.824043i) q^{2} +(-0.772097 - 1.55044i) q^{3} -0.641906i q^{4} +(-0.114643 + 0.0307184i) q^{5} +(-0.641388 + 1.91387i) q^{6} +(-2.54084 - 0.737668i) q^{7} +(-2.17704 + 2.17704i) q^{8} +(-1.80773 + 2.39418i) q^{9} +O(q^{10})$	\(q+(-0.824043 - 0.824043i) q^{2} +(-0.772097 - 1.55044i) q^{3} -0.641906i q^{4} +(-0.114643 + 0.0307184i) q^{5} +(-0.641388 + 1.91387i) q^{6} +(-2.54084 - 0.737668i) q^{7} +(-2.17704 + 2.17704i) q^{8} +(-1.80773 + 2.39418i) q^{9} +(0.119784 + 0.0691572i) q^{10} +(-0.844847 - 3.15301i) q^{11} +(-0.995238 + 0.495614i) q^{12} +(2.91361 + 2.12388i) q^{13} +(1.48589 + 2.70163i) q^{14} +(0.136142 + 0.154029i) q^{15} +2.30414 q^{16} +1.33199 q^{17} +(3.46256 - 0.483261i) q^{18} +(-4.50542 - 1.20722i) q^{19} +(0.0197183 + 0.0735899i) q^{20} +(0.818062 + 4.50897i) q^{21} +(-1.90203 + 3.29441i) q^{22} +3.86794 q^{23} +(5.05627 + 1.69449i) q^{24} +(-4.31793 + 2.49296i) q^{25} +(-0.650777 - 4.15111i) q^{26} +(5.10778 + 0.954237i) q^{27} +(-0.473514 + 1.63098i) q^{28} +(-4.77597 + 2.75741i) q^{29} +(0.0147394 - 0.239114i) q^{30} +(-7.79044 - 2.08744i) q^{31} +(2.45538 + 2.45538i) q^{32} +(-4.23625 + 3.74432i) q^{33} +(-1.09761 - 1.09761i) q^{34} +(0.313948 + 0.00651784i) q^{35} +(1.53684 + 1.16039i) q^{36} +(-1.40087 - 1.40087i) q^{37} +(2.71786 + 4.70746i) q^{38} +(1.04335 - 6.15722i) q^{39} +(0.182707 - 0.316458i) q^{40} +(3.06784 - 11.4493i) q^{41} +(3.04146 - 4.38970i) q^{42} +(-0.721158 - 0.416361i) q^{43} +(-2.02394 + 0.542312i) q^{44} +(0.133698 - 0.330006i) q^{45} +(-3.18735 - 3.18735i) q^{46} +(-1.85011 - 6.90470i) q^{47} +(-1.77902 - 3.57244i) q^{48} +(5.91169 + 3.74859i) q^{49} +(5.61246 + 1.50385i) q^{50} +(-1.02842 - 2.06516i) q^{51} +(1.36333 - 1.87027i) q^{52} +(-5.67844 + 3.27845i) q^{53} +(-3.42270 - 4.99536i) q^{54} +(0.193711 + 0.335517i) q^{55} +(7.13745 - 3.92558i) q^{56} +(1.60689 + 7.91748i) q^{57} +(6.20783 + 1.66338i) q^{58} +(3.27574 - 3.27574i) q^{59} +(0.0988722 - 0.0873907i) q^{60} +(-4.13268 - 7.15801i) q^{61} +(4.69952 + 8.13980i) q^{62} +(6.35926 - 4.74972i) q^{63} -8.65496i q^{64} +(-0.399267 - 0.153985i) q^{65} +(6.57633 + 0.405376i) q^{66} +(-0.236690 - 0.883339i) q^{67} -0.855010i q^{68} +(-2.98643 - 5.99701i) q^{69} +(-0.253336 - 0.264078i) q^{70} +(-15.9044 + 4.26157i) q^{71} +(-1.27673 - 9.14775i) q^{72} +(3.38008 - 12.6146i) q^{73} +2.30876i q^{74} +(7.19904 + 4.76988i) q^{75} +(-0.774925 + 2.89206i) q^{76} +(-0.179260 + 8.63450i) q^{77} +(-5.93358 + 4.21405i) q^{78} +(1.52818 - 2.64689i) q^{79} +(-0.264153 + 0.0707796i) q^{80} +(-2.46422 - 8.65608i) q^{81} +(-11.9628 + 6.90671i) q^{82} +(2.83853 + 2.83853i) q^{83} +(2.89433 - 0.525119i) q^{84} +(-0.152702 + 0.0409165i) q^{85} +(0.251166 + 0.937364i) q^{86} +(7.96272 + 5.27587i) q^{87} +(8.70351 + 5.02498i) q^{88} +(4.43348 - 4.43348i) q^{89} +(-0.382112 + 0.161767i) q^{90} +(-5.83630 - 7.54570i) q^{91} -2.48286i q^{92} +(2.77852 + 13.6903i) q^{93} +(-4.16520 + 7.21434i) q^{94} +0.553597 q^{95} +(1.91112 - 5.70270i) q^{96} +(3.43995 + 12.8381i) q^{97} +(-1.78249 - 7.96048i) q^{98} +(9.07614 + 3.67708i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.824043	−	0.824043i	−0.582686	−	0.582686i	0.352954	−	0.935641i	$-0.385177\pi$
$2$	−0.824043	−	0.824043i	−0.582686	−	0.582686i	−0.935641	+	0.352954i	$0.885177\pi$
$3$	−0.772097	−	1.55044i	−0.445771	−	0.895147i
$3$	−0.772097	−	1.55044i	−0.445771	−	0.895147i
$4$		−	0.641906i		−	0.320953i
$5$	−0.114643	+	0.0307184i	−0.0512698	+	0.0137377i	−0.284363	−	0.958717i	$-0.591782\pi$
$5$	−0.114643	+	0.0307184i	−0.0512698	+	0.0137377i	0.233093	+	0.972454i	$0.425115\pi$
$6$	−0.641388	+	1.91387i	−0.261846	+	0.781335i
$7$	−2.54084	−	0.737668i	−0.960346	−	0.278812i
$7$	−2.54084	−	0.737668i	−0.960346	−	0.278812i
$8$	−2.17704	+	2.17704i	−0.769701	+	0.769701i
$9$	−1.80773	+	2.39418i	−0.602577	+	0.798061i
$10$	0.119784	+	0.0691572i	0.0378790	+	0.0218694i
$11$	−0.844847	−	3.15301i	−0.254731	−	0.950668i	−0.968240	−	0.250023i	$-0.919562\pi$
$11$	−0.844847	−	3.15301i	−0.254731	−	0.950668i	0.713509	−	0.700646i	$-0.247105\pi$
$12$	−0.995238	+	0.495614i	−0.287300	+	0.143072i
$13$	2.91361	+	2.12388i	0.808091	+	0.589057i
$13$	2.91361	+	2.12388i	0.808091	+	0.589057i
$14$	1.48589	+	2.70163i	0.397120	+	0.722040i
$15$	0.136142	+	0.154029i	0.0351518	+	0.0397701i
$16$	2.30414			0.576036
$17$	1.33199			0.323054			0.161527	−	0.986868i	$-0.448358\pi$
$17$	1.33199			0.323054			0.161527	+	0.986868i	$0.448358\pi$
$18$	3.46256	−	0.483261i	0.816133	−	0.113906i
$19$	−4.50542	−	1.20722i	−1.03361	−	0.276956i	−0.298149	−	0.954519i	$-0.596369\pi$
$19$	−4.50542	−	1.20722i	−1.03361	−	0.276956i	−0.735465	+	0.677563i	$0.763036\pi$
$20$	0.0197183	+	0.0735899i	0.00440916	+	0.0164552i
$21$	0.818062	+	4.50897i	0.178516	+	0.983937i
$22$	−1.90203	+	3.29441i	−0.405513	+	0.702370i
$23$	3.86794			0.806522			0.403261	−	0.915085i	$-0.367877\pi$
$23$	3.86794			0.806522			0.403261	+	0.915085i	$0.367877\pi$
$24$	5.05627	+	1.69449i	1.03211	+	0.345886i
$25$	−4.31793	+	2.49296i	−0.863586	+	0.498591i
$26$	−0.650777	−	4.15111i	−0.127628	−	0.814099i
$27$	5.10778	+	0.954237i	0.982993	+	0.183643i
$28$	−0.473514	+	1.63098i	−0.0894857	+	0.308226i
$29$	−4.77597	+	2.75741i	−0.886876	+	0.512038i	−0.872919	−	0.487864i	$-0.837776\pi$
$29$	−4.77597	+	2.75741i	−0.886876	+	0.512038i	−0.0139567	+	0.999903i	$0.504443\pi$
$30$	0.0147394	−	0.239114i	0.00269103	−	0.0436560i
$31$	−7.79044	−	2.08744i	−1.39920	−	0.374916i	−0.521145	−	0.853468i	$-0.674495\pi$
$31$	−7.79044	−	2.08744i	−1.39920	−	0.374916i	−0.878059	+	0.478552i	$0.841162\pi$
$32$	2.45538	+	2.45538i	0.434053	+	0.434053i
$33$	−4.23625	+	3.74432i	−0.737437	+	0.651802i
$34$	−1.09761	−	1.09761i	−0.188239	−	0.188239i
$35$	0.313948	+	0.00651784i	0.0530669	+	0.00110172i
$36$	1.53684	+	1.16039i	0.256140	+	0.193399i
$37$	−1.40087	−	1.40087i	−0.230302	−	0.230302i	0.582517	−	0.812819i	$-0.302068\pi$
$37$	−1.40087	−	1.40087i	−0.230302	−	0.230302i	−0.812819	+	0.582517i	$0.802068\pi$
$38$	2.71786	+	4.70746i	0.440894	+	0.763651i
$39$	1.04335	−	6.15722i	0.167070	−	0.985945i
$40$	0.182707	−	0.316458i	0.0288885	−	0.0500363i
$41$	3.06784	−	11.4493i	0.479116	−	1.78809i	−0.126092	−	0.992019i	$-0.540243\pi$
$41$	3.06784	−	11.4493i	0.479116	−	1.78809i	0.605208	−	0.796067i	$-0.293090\pi$
$42$	3.04146	−	4.38970i	0.469308	−	0.677345i
$43$	−0.721158	−	0.416361i	−0.109976	−	0.0634944i	0.444003	−	0.896025i	$-0.353558\pi$
$43$	−0.721158	−	0.416361i	−0.109976	−	0.0634944i	−0.553979	+	0.832531i	$0.686891\pi$
$44$	−2.02394	+	0.542312i	−0.305120	+	0.0817567i
$45$	0.133698	−	0.330006i	0.0199305	−	0.0491944i
$46$	−3.18735	−	3.18735i	−0.469949	−	0.469949i
$47$	−1.85011	−	6.90470i	−0.269866	−	1.00715i	−0.959204	−	0.282714i	$-0.908765\pi$
$47$	−1.85011	−	6.90470i	−0.269866	−	1.00715i	0.689338	−	0.724440i	$-0.257902\pi$
$48$	−1.77902	−	3.57244i	−0.256780	−	0.515637i
$49$	5.91169	+	3.74859i	0.844527	+	0.535513i
$50$	5.61246	+	1.50385i	0.793722	+	0.212677i
$51$	−1.02842	−	2.06516i	−0.144008	−	0.289181i
$52$	1.36333	−	1.87027i	0.189060	−	0.259359i
$53$	−5.67844	+	3.27845i	−0.779994	+	0.450330i	−0.836428	−	0.548076i	$-0.815360\pi$
$53$	−5.67844	+	3.27845i	−0.779994	+	0.450330i	0.0564339	+	0.998406i	$0.482027\pi$
$54$	−3.42270	−	4.99536i	−0.465770	−	0.679783i
$55$	0.193711	+	0.335517i	0.0261200	+	0.0452411i
$56$	7.13745	−	3.92558i	0.953782	−	0.524577i
$57$	1.60689	+	7.91748i	0.212838	+	1.04870i
$58$	6.20783	+	1.66338i	0.815128	+	0.218413i
$59$	3.27574	−	3.27574i	0.426466	−	0.426466i	−0.460957	−	0.887422i	$-0.652494\pi$
$59$	3.27574	−	3.27574i	0.426466	−	0.426466i	0.887422	+	0.460957i	$0.152494\pi$
$60$	0.0988722	−	0.0873907i	0.0127644	−	0.0112821i
$61$	−4.13268	−	7.15801i	−0.529135	−	0.916489i	−0.999423	−	0.0339758i	$-0.989183\pi$
$61$	−4.13268	−	7.15801i	−0.529135	−	0.916489i	0.470287	−	0.882513i	$-0.344150\pi$
$62$	4.69952	+	8.13980i	0.596839	+	1.03376i
$63$	6.35926	−	4.74972i	0.801191	−	0.598408i
$64$		−	8.65496i		−	1.08187i
$65$	−0.399267	−	0.153985i	−0.0495229	−	0.0190995i
$66$	6.57633	+	0.405376i	0.809490	+	0.0498983i
$67$	−0.236690	−	0.883339i	−0.0289163	−	0.107917i	0.949959	−	0.312373i	$-0.101124\pi$
$67$	−0.236690	−	0.883339i	−0.0289163	−	0.107917i	−0.978876	+	0.204456i	$0.934457\pi$
$68$		−	0.855010i		−	0.103685i
$69$	−2.98643	−	5.99701i	−0.359524	−	0.721956i
$70$	−0.253336	−	0.264078i	−0.0302794	−	0.0315633i
$71$	−15.9044	+	4.26157i	−1.88751	+	0.505756i	−0.888616	+	0.458653i	$0.848332\pi$
$71$	−15.9044	+	4.26157i	−1.88751	+	0.505756i	−0.998890	+	0.0471031i	$0.985001\pi$
$72$	−1.27673	−	9.14775i	−0.150464	−	1.07807i
$73$	3.38008	−	12.6146i	0.395609	−	1.47643i	−0.425132	−	0.905131i	$-0.639772\pi$
$73$	3.38008	−	12.6146i	0.395609	−	1.47643i	0.820741	−	0.571301i	$-0.193561\pi$
$74$			2.30876i			0.268388i
$75$	7.19904	+	4.76988i	0.831274	+	0.550779i
$76$	−0.774925	+	2.89206i	−0.0888899	+	0.331742i
$77$	−0.179260	+	8.63450i	−0.0204285	+	0.983992i
$78$	−5.93358	+	4.21405i	−0.671846	+	0.477147i
$79$	1.52818	−	2.64689i	0.171934	−	0.297798i	−0.767162	−	0.641453i	$-0.778332\pi$
$79$	1.52818	−	2.64689i	0.171934	−	0.297798i	0.939096	+	0.343655i	$0.111665\pi$
$80$	−0.264153	+	0.0707796i	−0.0295332	+	0.00791340i
$81$	−2.46422	−	8.65608i	−0.273802	−	0.961786i
$82$	−11.9628	+	6.90671i	−1.32107	+	0.762719i
$83$	2.83853	+	2.83853i	0.311569	+	0.311569i	0.845517	−	0.533948i	$-0.179292\pi$
$83$	2.83853	+	2.83853i	0.311569	+	0.311569i	−0.533948	+	0.845517i	$0.679292\pi$
$84$	2.89433	−	0.525119i	0.315798	−	0.0572952i
$85$	−0.152702	+	0.0409165i	−0.0165629	+	0.00443802i
$86$	0.251166	+	0.937364i	0.0270839	+	0.101079i
$87$	7.96272	+	5.27587i	0.853693	+	0.565633i
$88$	8.70351	+	5.02498i	0.927798	+	0.535664i
$89$	4.43348	−	4.43348i	0.469948	−	0.469948i	−0.431950	−	0.901898i	$-0.642174\pi$
$89$	4.43348	−	4.43348i	0.469948	−	0.469948i	0.901898	+	0.431950i	$0.142174\pi$
$90$	−0.382112	+	0.161767i	−0.0402781	+	0.0170517i
$91$	−5.83630	−	7.54570i	−0.611810	−	0.791005i
$92$		−	2.48286i		−	0.258856i
$93$	2.77852	+	13.6903i	0.288120	+	1.41962i
$94$	−4.16520	+	7.21434i	−0.429608	+	0.744102i
$95$	0.553597			0.0567979
$96$	1.91112	−	5.70270i	0.195053	−	0.582030i
$97$	3.43995	+	12.8381i	0.349274	+	1.30351i	0.887538	+	0.460734i	$0.152414\pi$
$97$	3.43995	+	12.8381i	0.349274	+	1.30351i	−0.538264	+	0.842776i	$0.680920\pi$
$98$	−1.78249	−	7.96048i	−0.180059	−	0.804130i
$99$	9.07614	+	3.67708i	0.912186	+	0.369560i
$100$	1.60024	+	2.77171i	0.160024	+	0.277171i
$101$	0.915881	−	1.58635i	0.0911336	−	0.157848i	−0.816855	−	0.576843i	$-0.804284\pi$
$101$	0.915881	−	1.58635i	0.0911336	−	0.157848i	0.907988	+	0.418995i	$0.137618\pi$
$102$	−0.854320	+	2.54925i	−0.0845903	+	0.252413i
$103$	−0.680677	−	0.392989i	−0.0670691	−	0.0387224i	0.466090	−	0.884737i	$-0.345662\pi$
$103$	−0.680677	−	0.392989i	−0.0670691	−	0.0387224i	−0.533160	+	0.846015i	$0.678995\pi$
$104$	−10.9668	+	1.71929i	−1.07539	+	0.168591i
$105$	−0.232293	−	0.491790i	−0.0226695	−	0.0479938i
$106$	7.38087	+	1.97770i	0.716893	+	0.192091i
$107$		−	3.31819i		−	0.320781i	−0.987054	−	0.160391i	$-0.948725\pi$
$107$		−	3.31819i		−	0.320781i	0.987054	−	0.160391i	$-0.0512754\pi$
$108$	0.612531	−	3.27872i	0.0589408	−	0.315495i
$109$	−6.17312	−	1.65408i	−0.591278	−	0.158432i	−0.0492407	−	0.998787i	$-0.515680\pi$
$109$	−6.17312	−	1.65408i	−0.591278	−	0.158432i	−0.542037	+	0.840355i	$0.682347\pi$
$110$	0.116854	−	0.436107i	0.0111416	−	0.0415811i
$111$	−1.09036	+	3.25358i	−0.103492	+	0.308816i
$112$	−5.85445	−	1.69969i	−0.553193	−	0.160606i
$113$	−4.48611	−	2.59006i	−0.422018	−	0.243652i	0.273922	−	0.961752i	$-0.411679\pi$
$113$	−4.48611	−	2.59006i	−0.422018	−	0.243652i	−0.695940	+	0.718100i	$0.745012\pi$
$114$	5.20019	−	7.84849i	0.487043	−	0.735079i
$115$	−0.443431	+	0.118817i	−0.0413502	+	0.0110797i
$116$	1.77000	+	3.06573i	0.164340	+	0.284646i
$117$	−10.3520	+	3.13632i	−0.957041	+	0.289953i
$118$	−5.39871			−0.496991
$119$	−3.38436	−	0.982564i	−0.310243	−	0.0900715i
$120$	−0.631716	−	0.0389400i	−0.0576675	−	0.00355472i
$121$	0.298570	−	0.172380i	0.0271428	−	0.0156709i
$122$	−2.49300	+	9.30401i	−0.225706	+	0.842346i
$123$	−20.1202	+	4.08350i	−1.81418	+	0.368197i
$124$	−1.33994	+	5.00073i	−0.120330	+	0.449079i
$125$	0.838061	−	0.838061i	0.0749584	−	0.0749584i
$126$	−9.15427	−	1.32633i	−0.815528	−	0.118159i
$127$	18.0978	−	10.4488i	1.60592	−	0.927180i	0.615654	−	0.788017i	$-0.288892\pi$
$127$	18.0978	−	10.4488i	1.60592	−	0.927180i	0.990269	−	0.139164i	$-0.0444415\pi$
$128$	−2.22130	+	2.22130i	−0.196337	+	0.196337i
$129$	−0.0887383	+	1.43958i	−0.00781297	+	0.126748i
$130$	0.202122	+	0.455903i	0.0177273	+	0.0399854i
$131$	1.05177	+	0.607237i	0.0918932	+	0.0530546i	0.545242	−	0.838278i	$-0.316438\pi$
$131$	1.05177	+	0.607237i	0.0918932	+	0.0530546i	−0.453349	+	0.891333i	$0.649771\pi$
$132$	2.40350	+	2.71928i	0.209198	+	0.236683i
$133$	10.5570	+	6.39086i	0.915408	+	0.554158i
$134$	−0.532866	+	0.922952i	−0.0460326	+	0.0797309i
$135$	−0.614882	+	0.0475066i	−0.0529207	+	0.00408872i
$136$	−2.89979	+	2.89979i	−0.248655	+	0.248655i
$137$	−2.49712	+	2.49712i	−0.213343	+	0.213343i	−0.805686	−	0.592343i	$-0.798203\pi$
$137$	−2.49712	+	2.49712i	−0.213343	+	0.213343i	0.592343	+	0.805686i	$0.298203\pi$
$138$	−2.48085	+	7.40274i	−0.211184	+	0.630163i
$139$	1.48718	−	2.57588i	0.126141	−	0.218483i	−0.796037	−	0.605248i	$-0.793074\pi$
$139$	1.48718	−	2.57588i	0.126141	−	0.218483i	0.922178	+	0.386765i	$0.126407\pi$
$140$	0.00418384	−	0.201525i	0.000353599	−	0.0170320i
$141$	−9.27686	+	8.19959i	−0.781253	+	0.690530i
$142$	16.6176	+	9.59419i	1.39452	+	0.805127i
$143$	4.23505	−	10.9810i	0.354153	−	0.918278i
$144$	−4.16527	+	5.51654i	−0.347106	+	0.459712i
$145$	0.462827	−	0.462827i	0.0384357	−	0.0384357i
$146$	−13.1803	+	7.60967i	−1.09081	+	0.629781i
$147$	1.24756	−	12.0600i	0.102897	−	0.994692i
$148$	−0.899229	+	0.899229i	−0.0739162	+	0.0739162i
$149$	−5.79915	+	21.6427i	−0.475085	+	1.77304i	0.145987	+	0.989287i	$0.453364\pi$
$149$	−5.79915	+	21.6427i	−0.475085	+	1.77304i	−0.621072	+	0.783754i	$0.713302\pi$
$150$	−2.00173	−	9.86291i	−0.163441	−	0.805303i
$151$	−1.24789	+	4.65718i	−0.101552	+	0.378996i	−0.997931	−	0.0642916i	$-0.979521\pi$
$151$	−1.24789	+	4.65718i	−0.101552	+	0.378996i	0.896380	+	0.443287i	$0.146188\pi$
$152$	12.4367	−	7.18032i	1.00875	−	0.582401i
$153$	−2.40787	+	3.18902i	−0.194665	+	0.257817i
$154$	7.26291	−	6.96748i	0.585262	−	0.561455i
$155$	0.957240			0.0768874
$156$	−3.95236	−	0.669733i	−0.316442	−	0.0536216i
$157$	7.42189	+	12.8551i	0.592332	+	1.02595i	0.993918	+	0.110127i	$0.0351258\pi$
$157$	7.42189	+	12.8551i	0.592332	+	1.02595i	−0.401586	+	0.915821i	$0.631541\pi$
$158$	−3.44044	+	0.921862i	−0.273707	+	0.0733394i
$159$	9.46736	+	6.27281i	0.750810	+	0.497466i
$160$	−0.356916	−	0.206066i	−0.0282167	−	0.0162909i
$161$	−9.82780	−	2.85326i	−0.774539	−	0.224868i
$162$	−5.10236	+	9.16360i	−0.400879	+	0.719960i
$163$	−2.62614	+	9.80090i	−0.205695	+	0.767665i	0.783541	+	0.621340i	$0.213411\pi$
$163$	−2.62614	+	9.80090i	−0.205695	+	0.767665i	−0.989236	+	0.146326i	$0.953255\pi$
$164$	−7.34940	−	1.96927i	−0.573892	−	0.153774i
$165$	0.370636	−	0.559389i	0.0288540	−	0.0435484i
$166$		−	4.67814i		−	0.363094i
$167$	14.4465	+	3.87092i	1.11790	+	0.299540i	0.770033	−	0.638004i	$-0.220240\pi$
$167$	14.4465	+	3.87092i	1.11790	+	0.299540i	0.347867	+	0.937544i	$0.386906\pi$
$168$	−11.5972	−	8.03526i	−0.894742	−	0.619934i
$169$	3.97829	+	12.3763i	0.306023	+	0.952024i
$170$	0.159550	+	0.0921164i	0.0122369	+	0.00706501i
$171$	11.0349	−	8.60446i	0.843860	−	0.657999i
$172$	−0.267265	+	0.462916i	−0.0203787	+	0.0352970i
$173$	−1.87329	−	3.24463i	−0.142424	−	0.246685i	0.785985	−	0.618245i	$-0.212156\pi$
$173$	−1.87329	−	3.24463i	−0.142424	−	0.246685i	−0.928409	+	0.371560i	$0.878823\pi$
$174$	−2.21407	−	10.9092i	−0.167849	−	0.827022i
$175$	12.8101	−	3.14899i	0.968354	−	0.238042i
$176$	−1.94665	−	7.26499i	−0.146734	−	0.547619i
$177$	−7.60804	−	2.54965i	−0.571855	−	0.191644i
$178$	−7.30675			−0.547664
$179$	−6.46915	+	11.2049i	−0.483527	+	0.837494i	−0.999821	−	0.0189179i	$-0.993978\pi$
$179$	−6.46915	+	11.2049i	−0.483527	+	0.837494i	0.516294	+	0.856411i	$0.327311\pi$
$180$	−0.211833	−	0.0858214i	−0.0157891	−	0.00639675i
$181$		−	22.6836i		−	1.68606i	−0.537865	−	0.843031i	$-0.680769\pi$
$181$		−	22.6836i		−	1.68606i	0.537865	−	0.843031i	$-0.319231\pi$
$182$	−1.40862	+	11.0273i	−0.104414	+	0.817401i
$183$	−7.90724	+	11.9342i	−0.584520	+	0.882198i
$184$	−8.42068	+	8.42068i	−0.620781	+	0.620781i
$185$	0.203632	+	0.117567i	0.0149714	+	0.00864371i
$186$	8.99179	−	13.5710i	0.659310	−	0.995077i
$187$	−1.12532	−	4.19976i	−0.0822918	−	0.307117i
$188$	−4.43217	+	1.18760i	−0.323249	+	0.0866144i
$189$	−12.2741	−	6.19241i	−0.892811	−	0.450431i
$190$	−0.456188	−	0.456188i	−0.0330954	−	0.0330954i
$191$	16.2481	−	9.38086i	1.17567	−	0.678775i	0.220663	−	0.975350i	$-0.429178\pi$
$191$	16.2481	−	9.38086i	1.17567	−	0.678775i	0.955009	+	0.296575i	$0.0958446\pi$
$192$	−13.4190	+	6.68247i	−0.968433	+	0.482266i
$193$	4.96453	−	1.33024i	0.357355	−	0.0957530i	−0.0756749	−	0.997133i	$-0.524111\pi$
$193$	4.96453	−	1.33024i	0.357355	−	0.0957530i	0.433030	+	0.901380i	$0.357444\pi$
$194$	7.74446	−	13.4138i	0.556020	−	0.963055i
$195$	0.0695277	+	0.737931i	0.00497898	+	0.0528443i
$196$	2.40624	−	3.79475i	0.171874	−	0.271054i
$197$	2.31985	−	8.65781i	0.165283	−	0.616843i	−0.832721	−	0.553692i	$-0.813218\pi$
$197$	2.31985	−	8.65781i	0.165283	−	0.616843i	0.998004	−	0.0631511i	$-0.0201150\pi$
$198$	−4.44906	−	10.5092i	−0.316181	−	0.746856i
$199$		−	2.09604i		−	0.148584i	−0.997237	−	0.0742921i	$-0.976330\pi$
$199$		−	2.09604i		−	0.148584i	0.997237	−	0.0742921i	$-0.0236697\pi$
$200$	3.97304	−	14.8276i	0.280937	−	1.04847i
$201$	−1.18682	+	1.04900i	−0.0837116	+	0.0739905i
$202$	−2.06195	+	0.552497i	−0.145078	+	0.0388736i
$203$	14.1690	−	3.48304i	0.994470	−	0.244462i
$204$	−1.32564	+	0.660151i	−0.0928135	+	0.0462198i
$205$			1.40682i			0.0982567i
$206$	0.237067	+	0.884747i	0.0165173	+	0.0616433i
$207$	−6.99220	+	9.26056i	−0.485991	+	0.643653i
$208$	6.71338	+	4.89372i	0.465489	+	0.339318i
$209$			15.2256i			1.05317i
$210$	−0.213837	+	0.596676i	−0.0147562	+	0.0411746i
$211$	−7.40570	−	12.8270i	−0.509829	−	0.883050i	−0.999935	−	0.0113874i	$-0.996375\pi$
$211$	−7.40570	−	12.8270i	−0.509829	−	0.883050i	0.490106	−	0.871663i	$-0.336958\pi$
$212$	2.10446	+	3.64503i	0.144535	+	0.250342i
$213$	18.8871	+	21.3685i	1.29412	+	1.46414i
$214$	−2.73433	+	2.73433i	−0.186915	+	0.186915i
$215$	0.0954654	+	0.0255799i	0.00651069	+	0.00174453i
$216$	−13.1973	+	9.04245i	−0.897961	+	0.615261i
$217$	18.2544	+	11.0506i	1.23919	+	0.750164i
$218$	3.72388	+	6.44995i	0.252213	+	0.436846i
$219$	−22.1680	+	4.49912i	−1.49798	+	0.304022i
$220$	0.215371	−	0.124344i	0.0145203	−	0.00838329i
$221$	3.88089	+	2.82897i	0.261057	+	0.190297i
$222$	3.57959	−	1.78259i	0.240247	−	0.119639i
$223$	−9.06259	−	2.42831i	−0.606876	−	0.162612i	−0.0577216	−	0.998333i	$-0.518384\pi$
$223$	−9.06259	−	2.42831i	−0.606876	−	0.162612i	−0.549155	+	0.835721i	$0.685050\pi$
$224$	−4.42745	−	8.04996i	−0.295822	−	0.537861i
$225$	1.83706	−	14.8445i	0.122471	−	0.989633i
$226$	1.56243	+	5.83107i	0.103931	+	0.387877i
$227$	−9.37420	−	9.37420i	−0.622188	−	0.622188i	0.323903	−	0.946090i	$-0.395005\pi$
$227$	−9.37420	−	9.37420i	−0.622188	−	0.622188i	−0.946090	+	0.323903i	$0.895005\pi$
$228$	5.08228	−	1.03148i	0.336582	−	0.0683112i
$229$	24.4840	−	6.56048i	1.61795	−	0.433529i	0.667552	−	0.744563i	$-0.267342\pi$
$229$	24.4840	−	6.56048i	1.61795	−	0.433529i	0.950399	+	0.311034i	$0.100675\pi$
$230$	0.463317	+	0.267496i	0.0305502	+	0.0176382i
$231$	13.5257	−	6.38874i	0.889924	−	0.420348i
$232$	4.39450	−	16.4005i	0.288513	−	1.07675i
$233$	9.84858	−	17.0582i	0.645202	−	1.11752i	−0.339053	−	0.940767i	$-0.610107\pi$
$233$	9.84858	−	17.0582i	0.645202	−	1.11752i	0.984255	−	0.176755i	$-0.0565601\pi$
$234$	11.1149	+	5.94601i	0.726606	+	0.388703i
$235$	0.424203	+	0.734741i	0.0276720	+	0.0479292i
$236$	−2.10272	−	2.10272i	−0.136875	−	0.136875i
$237$	−5.28375	−	0.325699i	−0.343216	−	0.0211564i
$238$	1.97918	+	3.59853i	0.128291	+	0.233258i
$239$	8.29550	+	8.29550i	0.536591	+	0.536591i	0.922526	−	0.385935i	$-0.126121\pi$
$239$	8.29550	+	8.29550i	0.536591	+	0.536591i	−0.385935	+	0.922526i	$0.626121\pi$
$240$	0.313692	+	0.354905i	0.0202487	+	0.0229090i
$241$	1.33044	+	1.33044i	0.0857014	+	0.0857014i	0.748658	−	0.662956i	$-0.230699\pi$
$241$	1.33044	+	1.33044i	0.0857014	+	0.0857014i	−0.662956	+	0.748658i	$0.730699\pi$
$242$	−0.388083	−	0.103987i	−0.0249469	−	0.00668451i
$243$	−11.5181	+	10.5040i	−0.738887	+	0.673829i
$244$	−4.59477	+	2.65279i	−0.294150	+	0.169828i
$245$	−0.792883	−	0.248150i	−0.0506554	−	0.0158537i
$246$	19.9449	+	13.2149i	1.27164	+	0.842552i
$247$	−10.5631	−	13.0863i	−0.672111	−	0.832664i
$248$	21.5046	−	12.4157i	1.36554	−	0.788397i
$249$	2.20935	−	6.59259i	0.140012	−	0.417789i
$250$	−1.38120			−0.0873545
$251$	11.4167	−	19.7743i	0.720616	−	1.24814i	−0.240137	−	0.970739i	$-0.577192\pi$
$251$	11.4167	−	19.7743i	0.720616	−	1.24814i	0.960753	−	0.277405i	$-0.0894742\pi$
$252$	−3.04887	−	4.08205i	−0.192061	−	0.257145i
$253$	−3.26782	−	12.1957i	−0.205446	−	0.766735i
$254$	−23.5236	−	6.30314i	−1.47601	−	0.395494i
$255$	0.181340	+	0.205164i	0.0113559	+	0.0128479i
$256$	−13.6490			−0.853063
$257$	−20.4051			−1.27284			−0.636418	−	0.771345i	$-0.719585\pi$
$257$	−20.4051			−1.27284			−0.636418	+	0.771345i	$0.719585\pi$
$258$	1.25940	−	1.11315i	0.0784070	−	0.0693020i
$259$	2.52601	+	4.59277i	0.156958	+	0.285381i
$260$	−0.0988442	+	0.256292i	−0.00613006	+	0.0158945i
$261$	2.03193	−	16.4192i	0.125774	−	1.01632i
$262$	−0.366310	−	1.36709i	−0.0226307	−	0.0844591i
$263$	19.6485	+	11.3441i	1.21158	+	0.699505i	0.963103	−	0.269133i	$-0.0867370\pi$
$263$	19.6485	+	11.3441i	1.21158	+	0.699505i	0.248476	+	0.968638i	$0.420070\pi$
$264$	1.07097	−	17.3740i	0.0659133	−	1.06930i
$265$	0.550283	−	0.550283i	0.0338036	−	0.0338036i
$266$	−3.43308	−	13.9658i	−0.210495	−	0.856296i
$267$	−10.2969	−	3.45077i	−0.630161	−	0.211183i
$268$	−0.567021	+	0.151933i	−0.0346363	+	0.00928077i
$269$			11.6897i			0.712735i	0.934346	+	0.356368i	$0.115985\pi$
$269$			11.6897i			0.712735i	−0.934346	+	0.356368i	$0.884015\pi$
$270$	0.545837	+	0.467542i	0.0332186	+	0.0284537i
$271$	−4.97333	−	4.97333i	−0.302108	−	0.302108i	0.539730	−	0.841838i	$-0.318526\pi$
$271$	−4.97333	−	4.97333i	−0.302108	−	0.302108i	−0.841838	+	0.539730i	$0.818526\pi$
$272$	3.06909			0.186091
$273$	−7.19297	+	14.8748i	−0.435338	+	0.900267i
$274$	4.11547			0.248624
$275$	11.5083	+	11.5083i	0.693977	+	0.693977i
$276$	−3.84952	+	1.91701i	−0.231714	+	0.115390i
$277$			16.8603i			1.01304i	0.862228	+	0.506520i	$0.169068\pi$
$277$			16.8603i			1.01304i	−0.862228	+	0.506520i	$0.830932\pi$
$278$	−3.34814	+	0.897130i	−0.200808	+	0.0538063i
$279$	19.0807	−	14.8782i	1.14233	−	0.890735i
$280$	−0.697669	+	0.669290i	−0.0416937	+	0.0399977i
$281$	9.67405	−	9.67405i	0.577106	−	0.577106i	−0.356999	−	0.934105i	$-0.616200\pi$
$281$	9.67405	−	9.67405i	0.577106	−	0.577106i	0.934105	+	0.356999i	$0.116200\pi$
$282$	14.4013	+	0.887723i	0.857588	+	0.0528631i
$283$	−13.5493	−	7.82271i	−0.805424	−	0.465012i	0.0399400	−	0.999202i	$-0.487283\pi$
$283$	−13.5493	−	7.82271i	−0.805424	−	0.465012i	−0.845364	+	0.534190i	$0.820617\pi$
$284$	2.73553	+	10.2091i	0.162324	+	0.605801i
$285$	−0.427431	−	0.858320i	−0.0253188	−	0.0508425i
$286$	−12.5387	+	5.55896i	−0.741428	+	0.328708i
$287$	−16.2407	+	26.8278i	−0.958658	+	1.58360i
$288$	−10.3173	+	1.43996i	−0.607951	+	0.0848503i
$289$	−15.2258			−0.895636
$290$	−0.762779			−0.0447919
$291$	17.2487	−	15.2457i	1.01114	−	0.893719i
$292$	−8.09742	−	2.16970i	−0.473866	−	0.126972i
$293$	−0.789630	−	2.94694i	−0.0461307	−	0.172162i	0.939017	−	0.343870i	$-0.111738\pi$
$293$	−0.789630	−	2.94694i	−0.0461307	−	0.172162i	−0.985148	+	0.171708i	$0.945071\pi$
$294$	−10.9660	+	8.90991i	−0.639550	+	0.519637i
$295$	−0.274914	+	0.476166i	−0.0160061	+	0.0277234i
$296$	6.09952			0.354528
$297$	−1.30657	−	16.9111i	−0.0758150	−	0.981280i
$298$	22.6133	−	13.0558i	1.30995	−	0.756301i
$299$	11.2697	+	8.21503i	0.651743	+	0.475088i
$300$	3.06182	−	4.62111i	0.176774	−	0.266800i
$301$	1.52521	+	1.58988i	0.0879115	+	0.0916391i
$302$	4.86603	−	2.80940i	0.280008	−	0.161663i
$303$	−3.16670	−	0.195200i	−0.181922	−	0.0112140i
$304$	−10.3811	−	2.78162i	−0.595399	−	0.159537i
$305$	0.693664	+	0.693664i	0.0397191	+	0.0397191i
$306$	4.61208	−	0.643697i	0.263655	−	0.0367977i
$307$	−3.89152	−	3.89152i	−0.222101	−	0.222101i	0.587282	−	0.809383i	$-0.300198\pi$
$307$	−3.89152	−	3.89152i	−0.222101	−	0.222101i	−0.809383	+	0.587282i	$0.800198\pi$
$308$	5.54254	+	0.115068i	0.315816	+	0.00655660i
$309$	−0.0837572	+	1.35878i	−0.00476478	+	0.0772980i
$310$	−0.788807	−	0.788807i	−0.0448012	−	0.0448012i
$311$	4.57389	+	7.92221i	0.259361	+	0.449227i	0.966071	−	0.258277i	$-0.0831546\pi$
$311$	4.57389	+	7.92221i	0.259361	+	0.449227i	−0.706710	+	0.707504i	$0.749821\pi$
$312$	11.1331	+	15.6760i	0.630289	+	0.887477i
$313$	−1.50770	+	2.61141i	−0.0852202	+	0.147606i	−0.905485	−	0.424378i	$-0.860493\pi$
$313$	−1.50770	+	2.61141i	−0.0852202	+	0.147606i	0.820265	+	0.571984i	$0.193826\pi$
$314$	4.47719	−	16.7091i	0.252663	−	0.942950i
$315$	−0.583139	+	0.739867i	−0.0328562	+	0.0416868i
$316$	−1.69906	−	0.980950i	−0.0955793	−	0.0551827i
$317$	−17.6479	+	4.72873i	−0.991203	+	0.265592i	−0.717756	−	0.696295i	$-0.754831\pi$
$317$	−17.6479	+	4.72873i	−0.991203	+	0.265592i	−0.273447	+	0.961887i	$0.588164\pi$
$318$	−2.63245	−	12.9706i	−0.147620	−	0.727353i
$319$	12.7291	+	12.7291i	0.712693	+	0.712693i
$320$	0.265867	+	0.992227i	0.0148624	+	0.0554672i
$321$	−5.14465	+	2.56196i	−0.287147	+	0.142995i
$322$	5.74733	+	10.4497i	0.320286	+	0.582341i
$323$	−6.00115	−	1.60800i	−0.333913	−	0.0894718i
$324$	−5.55639	+	1.58180i	−0.308688	+	0.0878776i
$325$	−17.8755	−	1.90723i	−0.991555	−	0.105794i
$326$	10.2404	−	5.91230i	0.567164	−	0.327452i
$327$	2.20169	+	10.8482i	0.121754	+	0.599905i
$328$	18.2469	+	31.6045i	1.00752	+	1.74507i
$329$	−0.392556	+	18.9085i	−0.0216423	+	1.04246i
$330$	−0.766381	+	0.155541i	−0.0421879	+	0.00856225i
$331$	17.1051	+	4.58330i	0.940182	+	0.251921i	0.696191	−	0.717856i	$-0.254877\pi$
$331$	17.1051	+	4.58330i	0.940182	+	0.251921i	0.243991	+	0.969777i	$0.421543\pi$
$332$	1.82207	−	1.82207i	0.0999991	−	0.0999991i
$333$	5.88635	−	0.821543i	0.322570	−	0.0450203i
$334$	−8.71470	−	15.0943i	−0.476847	−	0.825923i
$335$	0.0542695	+	0.0939976i	0.00296506	+	0.00513564i
$336$	1.88493	+	10.3893i	0.102831	+	0.566783i
$337$		−	16.0763i		−	0.875731i	−0.899040	−	0.437866i	$-0.855735\pi$
$337$		−	16.0763i		−	0.875731i	0.899040	−	0.437866i	$-0.144265\pi$
$338$	6.92033	−	13.4769i	0.376416	−	0.733047i
$339$	−0.552015	+	8.95523i	−0.0299814	+	0.486381i
$340$	0.0262646	+	0.0980207i	0.00142440	+	0.00531592i
$341$			26.3269i			1.42568i
$342$	−16.1837	−	2.00279i	−0.875113	−	0.108298i
$343$	−12.2554	−	13.8854i	−0.661730	−	0.749742i
$344$	2.47643	−	0.663557i	0.133520	−	0.0357766i
$345$	0.526591	+	0.595775i	0.0283507	+	0.0320755i
$346$	−1.13005	+	4.21739i	−0.0607517	+	0.226728i
$347$		−	12.4915i		−	0.670579i	−0.942115	−	0.335290i	$-0.891166\pi$
$347$		−	12.4915i		−	0.670579i	0.942115	−	0.335290i	$-0.108834\pi$
$348$	3.38662	−	5.11132i	0.181542	−	0.273995i
$349$	−0.735686	+	2.74562i	−0.0393804	+	0.146970i	−0.982817	−	0.184584i	$-0.940906\pi$
$349$	−0.735686	+	2.74562i	−0.0393804	+	0.146970i	0.943436	+	0.331554i	$0.107573\pi$
$350$	−13.1510	−	7.96118i	−0.702950	−	0.425543i
$351$	12.8554	+	13.6286i	0.686172	+	0.727440i
$352$	5.66741	−	9.81624i	0.302074	−	0.523207i
$353$	−30.8057	+	8.25437i	−1.63962	+	0.439336i	−0.956682	−	0.291136i	$-0.905967\pi$
$353$	−30.8057	+	8.25437i	−1.63962	+	0.439336i	−0.682942	+	0.730472i	$0.739300\pi$
$354$	4.16833	+	8.37037i	0.221544	+	0.444880i
$355$	1.69242	−	0.977116i	0.0898241	−	0.0518599i
$356$	−2.84588	−	2.84588i	−0.150831	−	0.150831i
$357$	1.08965	+	6.00588i	0.0576702	+	0.317865i
$358$	14.5642	−	3.90246i	0.769741	−	0.206251i
$359$	−0.860709	−	3.21221i	−0.0454265	−	0.169534i	0.939486	−	0.342587i	$-0.111303\pi$
$359$	−0.860709	−	3.21221i	−0.0454265	−	0.169534i	−0.984912	+	0.173054i	$0.944637\pi$
$360$	0.427372	+	1.00950i	0.0225245	+	0.0532055i
$361$	2.38693	+	1.37810i	0.125628	+	0.0725314i
$362$	−18.6923	+	18.6923i	−0.982445	+	0.982445i
$363$	−0.497790	−	0.329822i	−0.0261272	−	0.0173111i
$364$	−4.84364	+	3.74636i	−0.253875	+	0.196362i
$365$			1.55001i			0.0811311i
$366$	16.3502	−	3.31835i	0.854636	−	0.173453i
$367$	−14.1349	+	24.4823i	−0.737835	+	1.27797i	0.215633	+	0.976474i	$0.430818\pi$
$367$	−14.1349	+	24.4823i	−0.737835	+	1.27797i	−0.953468	+	0.301493i	$0.902515\pi$
$368$	8.91229			0.464585
$369$	21.8660	+	28.0423i	1.13830	+	1.45982i
$370$	−0.0709214	−	0.264682i	−0.00368703	−	0.0137602i
$371$	16.8464	−	4.14120i	0.874622	−	0.215000i
$372$	8.78791	−	1.78355i	0.455632	−	0.0924729i
$373$	7.14664	+	12.3783i	0.370039	+	0.640926i	0.989571	−	0.144045i	$-0.0460110\pi$
$373$	7.14664	+	12.3783i	0.370039	+	0.640926i	−0.619532	+	0.784971i	$0.712678\pi$
$374$	−2.53347	+	4.38810i	−0.131003	+	0.226903i
$375$	−1.94643	−	0.652299i	−0.100513	−	0.0336846i
$376$	19.0596	+	11.0041i	0.982924	+	0.567492i
$377$	−19.7717	−	2.10955i	−1.01830	−	0.108647i
$378$	5.01159	+	15.2172i	0.257769	+	0.782689i
$379$	−27.4472	−	7.35447i	−1.40987	−	0.377774i	−0.527991	−	0.849250i	$-0.677055\pi$
$379$	−27.4472	−	7.35447i	−1.40987	−	0.377774i	−0.881879	+	0.471476i	$0.843721\pi$
$380$		−	0.355358i		−	0.0182295i
$381$	−30.1735	−	19.9921i	−1.54584	−	1.02423i
$382$	−21.1194	−	5.65892i	−1.08056	−	0.289535i
$383$	−4.37708	+	16.3355i	−0.223659	+	0.834705i	0.759279	+	0.650765i	$0.225552\pi$
$383$	−4.37708	+	16.3355i	−0.223659	+	0.834705i	−0.982938	+	0.183940i	$0.941115\pi$
$384$	5.15906	+	1.72894i	0.263272	+	0.0882294i
$385$	−0.244687	−	0.995389i	−0.0124704	−	0.0507297i
$386$	−5.18717	−	2.99481i	−0.264020	−	0.152432i
$387$	2.30050	−	0.973915i	0.116941	−	0.0495069i
$388$	8.24085	−	2.20813i	0.418366	−	0.112101i
$389$	−15.1955	−	26.3194i	−0.770443	−	1.33445i	−0.937320	−	0.348469i	$-0.886702\pi$
$389$	−15.1955	−	26.3194i	−0.770443	−	1.33445i	0.166877	−	0.985978i	$-0.446632\pi$
$390$	0.550793	−	0.665381i	0.0278905	−	0.0336929i
$391$	5.15204			0.260550
$392$	−21.0309	+	4.70917i	−1.06222	+	0.237849i
$393$	0.129419	−	2.09955i	0.00652835	−	0.105908i
$394$	−9.04607	+	5.22275i	−0.455734	+	0.263118i
$395$	−0.0938867	+	0.350390i	−0.00472395	+	0.0176300i
$396$	2.36034	−	5.82603i	0.118612	−	0.292769i
$397$	1.19152	−	4.44682i	0.0598007	−	0.223179i	−0.929558	−	0.368676i	$-0.879811\pi$
$397$	1.19152	−	4.44682i	0.0598007	−	0.223179i	0.989359	+	0.145496i	$0.0464779\pi$
$398$	−1.72722	+	1.72722i	−0.0865779	+	0.0865779i
$399$	1.75762	−	21.3024i	0.0879910	−	1.06645i
$400$	−9.94912	+	5.74413i	−0.497456	+	0.287206i
$401$	17.1353	−	17.1353i	0.855696	−	0.855696i	−0.135131	−	0.990828i	$-0.543146\pi$
$401$	17.1353	−	17.1353i	0.855696	−	0.855696i	0.990828	+	0.135131i	$0.0431456\pi$
$402$	1.84241	+	0.113569i	0.0918909	+	0.00566430i
$403$	−18.2649	−	22.6279i	−0.909838	−	1.12718i
$404$	−1.01829	−	0.587910i	−0.0506618	−	0.0292496i
$405$	0.548405	+	0.916659i	0.0272505	+	0.0455491i
$406$	−14.5461	−	8.80571i	−0.721909	−	0.437020i
$407$	−3.23344	+	5.60049i	−0.160276	+	0.277606i
$408$	6.73488	+	2.25703i	0.333426	+	0.111740i
$409$	4.66329	−	4.66329i	0.230585	−	0.230585i	−0.582352	−	0.812937i	$-0.697867\pi$
$409$	4.66329	−	4.66329i	0.230585	−	0.230585i	0.812937	+	0.582352i	$0.197867\pi$
$410$	1.15928	−	1.15928i	0.0572528	−	0.0572528i
$411$	5.79965	+	1.94362i	0.286076	+	0.0958715i
$412$	−0.252262	+	0.436931i	−0.0124281	+	0.0215260i
$413$	−10.7395	+	5.90671i	−0.528458	+	0.290650i
$414$	13.3930	−	1.86923i	0.658229	−	0.0918674i
$415$	−0.412612	−	0.238222i	−0.0202543	−	0.0116938i
$416$	1.93910	+	12.3689i	0.0950723	+	0.606437i
$417$	−5.14199	−	0.316961i	−0.251804	−	0.0155216i
$418$	12.5465	−	12.5465i	0.613670	−	0.613670i
$419$	1.07619	−	0.621336i	0.0525751	−	0.0303543i	−0.473482	−	0.880803i	$-0.657003\pi$
$419$	1.07619	−	0.621336i	0.0525751	−	0.0303543i	0.526057	+	0.850449i	$0.323670\pi$
$420$	−0.315683	+	0.149110i	−0.0154038	+	0.00727584i
$421$	−6.97530	+	6.97530i	−0.339955	+	0.339955i	−0.856350	−	0.516395i	$-0.827274\pi$
$421$	−6.97530	+	6.97530i	−0.339955	+	0.339955i	0.516395	+	0.856350i	$0.327274\pi$
$422$	−4.46742	+	16.6727i	−0.217471	+	0.811612i
$423$	19.8756	+	8.05235i	0.966385	+	0.391518i
$424$	5.22489	−	19.4996i	0.253743	−	0.946982i
$425$	−5.75142	+	3.32058i	−0.278985	+	0.161072i
$426$	2.04480	−	33.1723i	0.0990707	−	1.60720i
$427$	5.22022	+	21.2359i	0.252624	+	1.02768i
$428$	−2.12997			−0.102956
$429$	−20.2953	+	1.91222i	−0.979865	+	0.0923226i
$430$	−0.0575887	−	0.0997465i	−0.00277717	−	0.00481021i
$431$	3.99374	−	1.07012i	0.192372	−	0.0515458i	−0.161347	−	0.986898i	$-0.551584\pi$
$431$	3.99374	−	1.07012i	0.192372	−	0.0515458i	0.353718	+	0.935352i	$0.384917\pi$
$432$	11.7691	+	2.19870i	0.566239	+	0.105785i
$433$	10.6193	+	6.13106i	0.510331	+	0.294640i	0.732970	−	0.680261i	$-0.238134\pi$
$433$	10.6193	+	6.13106i	0.510331	+	0.294640i	−0.222639	+	0.974901i	$0.571467\pi$
$434$	−5.93622	−	24.1486i	−0.284948	−	1.15917i
$435$	−1.07493	−	0.360238i	−0.0515391	−	0.0172721i
$436$	−1.06177	+	3.96257i	−0.0508494	+	0.189773i
$437$	−17.4267	−	4.66947i	−0.833632	−	0.223371i
$438$	21.9749	+	14.5599i	1.05000	+	0.695700i
$439$		−	5.58140i		−	0.266386i	−0.991090	−	0.133193i	$-0.957477\pi$
$439$		−	5.58140i		−	0.266386i	0.991090	−	0.133193i	$-0.0425230\pi$
$440$	−1.15215	−	0.308719i	−0.0549268	−	0.0147176i
$441$	−19.6615	+	7.37723i	−0.936264	+	0.351296i
$442$	−0.866826	−	5.52922i	−0.0412307	−	0.262998i
$443$	−32.1849	−	18.5820i	−1.52915	−	0.882857i	−0.999398	−	0.0347058i	$-0.988951\pi$
$443$	−32.1849	−	18.5820i	−1.52915	−	0.882857i	−0.529755	−	0.848151i	$-0.677716\pi$
$444$	2.08849	+	0.699909i	0.0991155	+	0.0332162i
$445$	−0.372076	+	0.644455i	−0.0176381	+	0.0305501i
$446$	5.46693	+	9.46900i	0.258867	+	0.448370i
$447$	38.0332	−	7.71905i	1.79891	−	0.365099i
$448$	−6.38449	+	21.9908i	−0.301639	+	1.03897i
$449$	7.14560	+	26.6677i	0.337222	+	1.25853i	0.901441	+	0.432903i	$0.142511\pi$
$449$	7.14560	+	26.6677i	0.337222	+	1.25853i	−0.564219	+	0.825625i	$0.690823\pi$
$450$	−13.7463	+	10.7187i	−0.648008	+	0.505284i
$451$	−38.6917			−1.82192
$452$	−1.66258	+	2.87967i	−0.0782010	+	0.135448i
$453$	8.18417	−	1.66102i	0.384526	−	0.0780416i
$454$			15.4495i			0.725080i
$455$	0.900881	+	0.685778i	0.0422339	+	0.0321498i
$456$	−20.7350	−	13.7384i	−0.971005	−	0.643361i
$457$	23.1221	−	23.1221i	1.08160	−	1.08160i	0.0852441	−	0.996360i	$-0.472833\pi$
$457$	23.1221	−	23.1221i	1.08160	−	1.08160i	0.996360	−	0.0852441i	$-0.0271670\pi$
$458$	−25.5820	−	14.7698i	−1.19537	−	0.690147i
$459$	6.80349	+	1.27103i	0.317560	+	0.0593266i
$460$	0.0762694	+	0.284641i	0.00355608	+	0.0132715i
$461$	2.63969	−	0.707304i	0.122943	−	0.0329424i	−0.196823	−	0.980439i	$-0.563062\pi$
$461$	2.63969	−	0.707304i	0.122943	−	0.0329424i	0.319766	+	0.947497i	$0.396396\pi$
$462$	−16.4103	−	5.88114i	−0.763478	−	0.273616i
$463$	14.5583	+	14.5583i	0.676583	+	0.676583i	0.959225	−	0.282643i	$-0.0912110\pi$
$463$	14.5583	+	14.5583i	0.676583	+	0.676583i	−0.282643	+	0.959225i	$0.591211\pi$
$464$	−11.0045	+	6.35347i	−0.510872	+	0.294952i
$465$	−0.739083	−	1.48414i	−0.0342741	−	0.0688255i
$466$	−22.1724	+	5.94107i	−1.02712	+	0.275215i
$467$	−10.2393	+	17.7351i	−0.473820	+	0.820681i	−0.999551	−	0.0299703i	$-0.990459\pi$
$467$	−10.2393	+	17.7351i	−0.473820	+	0.820681i	0.525730	+	0.850651i	$0.323792\pi$
$468$	2.01323	+	6.64500i	0.0930615	+	0.307165i
$469$	−0.0502209	+	2.41902i	−0.00231898	+	0.111700i
$470$	0.255897	−	0.955020i	0.0118036	−	0.0440518i
$471$	14.2006	−	21.4326i	0.654331	−	0.987562i
$472$			14.2629i			0.656502i
$473$	−0.703522	+	2.62558i	−0.0323480	+	0.120724i
$474$	4.08565	+	4.62243i	0.187660	+	0.212315i
$475$	22.4636	−	6.01911i	1.03070	−	0.276176i
$476$	−0.630714	+	2.17244i	−0.0289087	+	0.0995736i
$477$	2.41589	−	19.5218i	0.110616	−	0.893841i
$478$		−	13.6717i		−	0.625329i
$479$	−1.75314	−	6.54280i	−0.0801029	−	0.298948i	0.914239	−	0.405175i	$-0.132790\pi$
$479$	−1.75314	−	6.54280i	−0.0801029	−	0.298948i	−0.994342	+	0.106227i	$0.966123\pi$
$480$	−0.0439184	+	0.712480i	−0.00200459	+	0.0325201i
$481$	−1.10632	−	7.05688i	−0.0504439	−	0.321766i
$482$		−	2.19269i		−	0.0998741i
$483$	3.16422	+	17.4404i	0.143977	+	0.793567i
$484$	−0.110652	−	0.191654i	−0.00502962	−	0.00871155i
$485$	−0.788731	−	1.36612i	−0.0358144	−	0.0620324i
$486$	18.1471	+	0.835710i	0.823171	+	0.0379086i
$487$	13.4598	−	13.4598i	0.609920	−	0.609920i	−0.333005	−	0.942925i	$-0.608063\pi$
$487$	13.4598	−	13.4598i	0.609920	−	0.609920i	0.942925	+	0.333005i	$0.108063\pi$
$488$	24.5803	+	6.58628i	1.11270	+	0.298147i
$489$	17.2233	−	3.49557i	0.778866	−	0.158075i
$490$	0.448883	+	0.857856i	0.0202785	+	0.0387540i
$491$	−14.4273	−	24.9889i	−0.651096	−	1.12773i	−0.982857	−	0.184368i	$-0.940976\pi$
$491$	−14.4273	−	24.9889i	−0.651096	−	1.12773i	0.331761	−	0.943363i	$-0.392357\pi$
$492$	2.62122	+	12.9153i	0.118174	+	0.582266i
$493$	−6.36153	+	3.67283i	−0.286509	+	0.165416i
$494$	−2.07929	+	19.4881i	−0.0935517	+	0.876812i
$495$	−1.15347	−	0.142746i	−0.0518445	−	0.00641594i
$496$	−17.9503	−	4.80977i	−0.805992	−	0.215965i
$497$	43.5541	+	0.904221i	1.95367	+	0.0405599i
$498$	−7.25318	+	3.61198i	−0.325023	+	0.161857i
$499$	3.97128	+	14.8210i	0.177779	+	0.663479i	0.996062	+	0.0886635i	$0.0282596\pi$
$499$	3.97128	+	14.8210i	0.177779	+	0.663479i	−0.818283	+	0.574816i	$0.805074\pi$
$500$	−0.537956	−	0.537956i	−0.0240581	−	0.0240581i
$501$	−5.15245	−	25.3871i	−0.230194	−	1.13421i
$502$	−25.7027	+	6.88703i	−1.14717	+	0.307383i
$503$	23.0341	+	13.2987i	1.02704	+	0.592962i	0.916135	−	0.400869i	$-0.131292\pi$
$503$	23.0341	+	13.2987i	1.02704	+	0.592962i	0.110904	+	0.993831i	$0.464625\pi$
$504$	−3.50405	+	24.1847i	−0.156083	+	1.07727i
$505$	−0.0562688	+	0.209998i	−0.00250393	+	0.00934480i
$506$	−7.35693	+	12.7426i	−0.327055	+	0.566476i
$507$	16.1171	−	15.7238i	0.715786	−	0.698320i
$508$	−6.70715	−	11.6171i	−0.297582	−	0.515426i
$509$	7.27716	+	7.27716i	0.322555	+	0.322555i	0.849746	−	0.527192i	$-0.176755\pi$
$509$	7.27716	+	7.27716i	0.322555	+	0.322555i	−0.527192	+	0.849746i	$0.676755\pi$
$510$	0.0196326	−	0.318496i	0.000869347	−	0.0141032i
$511$	−17.8937	+	29.5584i	−0.791569	+	1.30758i
$512$	15.6900	+	15.6900i	0.693406	+	0.693406i
$513$	−21.8607	−	10.4655i	−0.965174	−	0.462062i
$514$	16.8147	+	16.8147i	0.741664	+	0.741664i
$515$	0.0901067	+	0.0241440i	0.00397057	+	0.00106391i
$516$	0.924078	+	0.0569617i	0.0406803	+	0.00250760i
$517$	−20.2075	+	11.6668i	−0.888727	+	0.513107i
$518$	1.70310	−	5.86618i	0.0748298	−	0.257745i
$519$	−3.58425	+	5.40960i	−0.157331	+	0.237455i
$520$	1.20445	−	0.533988i	0.0528188	−	0.0234169i
$521$	36.0202	−	20.7963i	1.57807	−	0.911100i	0.582944	−	0.812513i	$-0.301901\pi$
$521$	36.0202	−	20.7963i	1.57807	−	0.911100i	0.995128	−	0.0985877i	$-0.0314325\pi$
$522$	−15.2045	+	11.8557i	−0.665484	+	0.518911i
$523$	−4.01882			−0.175731			−0.0878654	−	0.996132i	$-0.528005\pi$
$523$	−4.01882			−0.175731			−0.0878654	+	0.996132i	$0.528005\pi$
$524$	0.389789	−	0.675135i	0.0170280	−	0.0294934i
$525$	−14.7730	−	17.4300i	−0.644746	−	0.760707i
$526$	−6.84321	−	25.5392i	−0.298378	−	1.11356i
$527$	−10.3768	−	2.78044i	−0.452019	−	0.121118i
$528$	−9.76093	+	8.62744i	−0.424790	+	0.375461i
$529$	−8.03903			−0.349523
$530$	−0.906914			−0.0393938
$531$	1.92106	+	13.7644i	0.0833671	+	0.597324i
$532$	4.10234	−	6.77661i	0.177859	−	0.293803i
$533$	33.2555	−	26.8432i	1.44045	−	1.16271i
$534$	5.64152	+	11.3287i	0.244133	+	0.490240i
$535$	0.101929	+	0.380406i	0.00440680	+	0.0164464i
$536$	2.43835	+	1.40778i	0.105321	+	0.0608070i
$537$	22.3673	+	1.37876i	0.965222	+	0.0594979i
$538$	9.63284	−	9.63284i	0.415301	−	0.415301i
$539$	6.82486	−	21.8066i	0.293968	−	0.939277i
$540$	0.0304948	+	0.394697i	0.00131229	+	0.0169851i
$541$	−30.5838	+	8.19490i	−1.31490	+	0.352326i	−0.847065	−	0.531490i	$-0.821632\pi$
$541$	−30.5838	+	8.19490i	−1.31490	+	0.352326i	−0.467835	+	0.883816i	$0.654966\pi$
$542$			8.19648i			0.352069i
$543$	−35.1696	+	17.5140i	−1.50927	+	0.751597i
$544$	3.27053	+	3.27053i	0.140223	+	0.140223i
$545$	0.758514			0.0324912
$546$	18.1848	−	6.33020i	0.778239	−	0.270907i
$547$	−27.6716			−1.18315			−0.591576	−	0.806249i	$-0.701494\pi$
$547$	−27.6716			−1.18315			−0.591576	+	0.806249i	$0.701494\pi$
$548$	1.60292	+	1.60292i	0.0684732	+	0.0684732i
$549$	24.6083	+	3.04537i	1.05026	+	0.129973i
$550$		−	18.9667i		−	0.808742i
$551$	24.8466	−	6.65762i	1.05850	−	0.283624i
$552$	19.5574	+	6.55418i	0.832416	+	0.278964i
$553$	−5.83539	+	5.59802i	−0.248146	+	0.238052i
$554$	13.8936	−	13.8936i	0.590284	−	0.590284i
$555$	0.0250569	−	0.406493i	0.00106361	−	0.0172547i
$556$	−1.65347	−	0.954632i	−0.0701228	−	0.0404854i
$557$	−8.77478	−	32.7479i	−0.371799	−	1.38757i	−0.857966	−	0.513707i	$-0.828272\pi$
$557$	−8.77478	−	32.7479i	−0.371799	−	1.38757i	0.486166	−	0.873866i	$-0.338395\pi$
$558$	−27.9836	−	3.46307i	−1.18464	−	0.146604i
$559$	−1.21688	−	2.74477i	−0.0514684	−	0.116091i
$560$	0.723382	+	0.0150180i	0.0305685	+	0.000634628i
$561$	−5.64263	+	4.98737i	−0.238232	+	0.210567i
$562$	−15.9437			−0.672543
$563$	−18.8863			−0.795961			−0.397981	−	0.917394i	$-0.630289\pi$
$563$	−18.8863			−0.795961			−0.397981	+	0.917394i	$0.630289\pi$
$564$	5.26337	+	5.95488i	0.221628	+	0.250746i
$565$	0.593863	+	0.159125i	0.0249840	+	0.00669444i
$566$	4.71898	+	17.6115i	0.198354	+	0.740266i
$567$	−0.124143	+	23.8114i	−0.00521351	+	0.999986i
$568$	25.3470	−	43.9022i	1.06354	−	1.84210i
$569$	46.9987			1.97029			0.985145	−	0.171725i	$-0.0549342\pi$
$569$	46.9987			1.97029			0.985145	+	0.171725i	$0.0549342\pi$
$570$	−0.355071	+	1.05951i	−0.0148723	+	0.0443782i
$571$	10.6404	−	6.14326i	0.445289	−	0.257088i	−0.260550	−	0.965460i	$-0.583904\pi$
$571$	10.6404	−	6.14326i	0.445289	−	0.257088i	0.705838	+	0.708373i	$0.250570\pi$
$572$	−7.04878	−	2.71851i	−0.294724	−	0.113666i
$573$	−27.0896	−	17.9488i	−1.13168	−	0.749822i
$574$	35.4903	−	8.72426i	1.48134	−	0.364144i
$575$	−16.7015	+	9.64261i	−0.696500	+	0.402125i
$576$	20.7215	+	15.6458i	0.863398	+	0.651910i
$577$	22.1065	+	5.92342i	0.920306	+	0.246595i	0.687716	−	0.725980i	$-0.258613\pi$
$577$	22.1065	+	5.92342i	0.920306	+	0.246595i	0.232590	+	0.972575i	$0.425280\pi$
$578$	12.5467	+	12.5467i	0.521875	+	0.521875i
$579$	−5.89557	−	6.67014i	−0.245011	−	0.277201i
$580$	−0.297092	−	0.297092i	−0.0123361	−	0.0123361i
$581$	−5.11834	−	9.30613i	−0.212345	−	0.386083i
$582$	−26.7768	−	1.65057i	−1.10993	−	0.0684181i
$583$	15.1344	+	15.1344i	0.626803	+	0.626803i
$584$	20.1040	+	34.8212i	0.831911	+	1.44091i
$585$	1.09044	−	0.677553i	0.0450840	−	0.0280134i
$586$	−1.77772	+	3.07909i	−0.0734368	+	0.127196i
$587$	6.82127	−	25.4573i	0.281544	−	1.05074i	−0.669784	−	0.742556i	$-0.733613\pi$
$587$	6.82127	−	25.4573i	0.281544	−	1.05074i	0.951328	−	0.308180i	$-0.0997200\pi$
$588$	−7.74139	−	0.800817i	−0.319250	−	0.0330251i
$589$	32.5792	+	18.8096i	1.34240	+	0.775036i
$590$	0.618922	−	0.165840i	0.0254806	−	0.00682751i
$591$	−15.2146	+	3.08788i	−0.625844	+	0.127018i
$592$	−3.22781	−	3.22781i	−0.132662	−	0.132662i
$593$	4.54920	+	16.9778i	0.186813	+	0.697196i	0.994235	+	0.107222i	$0.0341955\pi$
$593$	4.54920	+	16.9778i	0.186813	+	0.697196i	−0.807422	+	0.589974i	$0.799138\pi$
$594$	−12.8588	+	15.0121i	−0.527602	+	0.615955i
$595$	0.418175	+	0.00868167i	0.0171435	+	0.000355914i
$596$	13.8926	+	3.72251i	0.569063	+	0.152480i
$597$	−3.24978	+	1.61834i	−0.133005	+	0.0662344i
$598$	−2.51717	−	16.0562i	−0.102935	−	0.656589i
$599$	−28.5434	+	16.4796i	−1.16625	+	0.673336i	−0.952795	−	0.303616i	$-0.901806\pi$
$599$	−28.5434	+	16.4796i	−1.16625	+	0.673336i	−0.213458	+	0.976952i	$0.568473\pi$
$600$	−26.0569	+	5.28838i	−1.06377	+	0.215897i
$601$	−1.58538	−	2.74596i	−0.0646690	−	0.112010i	0.831878	−	0.554958i	$-0.187266\pi$
$601$	−1.58538	−	2.74596i	−0.0646690	−	0.112010i	−0.896547	+	0.442948i	$0.853932\pi$
$602$	0.0532924	−	2.56697i	0.00217204	−	0.104622i
$603$	2.54275	+	1.03016i	0.103549	+	0.0419514i
$604$	2.98947	+	0.801027i	0.121640	+	0.0325933i
$605$	−0.0289337	+	0.0289337i	−0.00117632	+	0.00117632i
$606$	2.44864	+	2.77035i	0.0994692	+	0.112538i
$607$	11.9339	+	20.6701i	0.484383	+	0.838975i	0.999839	−	0.0179405i	$-0.00571094\pi$
$607$	11.9339	+	20.6701i	0.484383	+	0.838975i	−0.515456	+	0.856916i	$0.672378\pi$
$608$	−8.09831	−	14.0267i	−0.328430	−	0.568857i
$609$	−16.3401	−	19.2790i	−0.662135	−	0.781223i
$610$		−	1.14322i		−	0.0462875i
$611$	9.27423	−	24.0470i	0.375195	−	0.972839i
$612$	2.04705	+	1.54563i	0.0827471	+	0.0624783i
$613$	8.36049	+	31.2018i	0.337677	+	1.26023i	0.900938	+	0.433949i	$0.142880\pi$
$613$	8.36049	+	31.2018i	0.337677	+	1.26023i	−0.563260	+	0.826279i	$0.690453\pi$
$614$			6.41356i			0.258830i
$615$	2.18119	−	1.08620i	0.0879542	−	0.0438000i
$616$	−18.4074	−	19.1879i	−0.741656	−	0.773104i
$617$	23.1100	−	6.19232i	0.930375	−	0.249293i	0.238360	−	0.971177i	$-0.423390\pi$
$617$	23.1100	−	6.19232i	0.930375	−	0.249293i	0.692015	+	0.721884i	$0.256723\pi$
$618$	1.18871	−	1.05067i	0.0478169	−	0.0422641i
$619$	8.88598	−	33.1629i	0.357158	−	1.33293i	−0.520590	−	0.853807i	$-0.674288\pi$
$619$	8.88598	−	33.1629i	0.357158	−	1.33293i	0.877747	−	0.479124i	$-0.159045\pi$
$620$		−	0.614459i		−	0.0246772i
$621$	19.7566	+	3.69093i	0.792805	+	0.148112i
$622$	2.75916	−	10.2973i	0.110632	−	0.412885i
$623$	−14.5352	+	7.99430i	−0.582339	+	0.320285i
$624$	2.40403	−	14.1871i	0.0962382	−	0.567940i
$625$	12.3944	−	21.4678i	0.495778	−	0.858713i
$626$	3.39432	−	0.909506i	0.135664	−	0.0363512i
$627$	23.6063	−	11.7556i	0.942745	−	0.469474i
$628$	8.25177	−	4.76416i	0.329281	−	0.190111i
$629$	−1.86594	−	1.86594i	−0.0744000	−	0.0744000i
$630$	1.09021	−	0.129151i	0.0434351	−	0.00514548i
$631$	−34.3118	+	9.19383i	−1.36593	+	0.366000i	−0.865991	−	0.500059i	$-0.833312\pi$
$631$	−34.3118	+	9.19383i	−1.36593	+	0.366000i	−0.499941	+	0.866060i	$0.666645\pi$
$632$	2.43547	+	9.08931i	0.0968780	+	0.361554i
$633$	−14.1697	+	21.3858i	−0.563193	+	0.850010i
$634$	18.4393	+	10.6459i	0.732317	+	0.422804i
$635$	−1.75381	+	1.75381i	−0.0695980	+	0.0695980i
$636$	4.02655	−	6.07716i	0.159663	−	0.240975i
$637$	9.26285	+	23.4776i	0.367007	+	0.930218i
$638$		−	20.9787i		−	0.830553i
$639$	18.5479	−	45.7818i	0.733744	−	1.81110i
$640$	0.186421	−	0.322891i	0.00736895	−	0.0127634i
$641$	−27.1530			−1.07248			−0.536240	−	0.844066i	$-0.680156\pi$
$641$	−27.1530			−1.07248			−0.536240	+	0.844066i	$0.680156\pi$
$642$	6.35058	+	2.12825i	0.250638	+	0.0839952i
$643$	−5.47562	−	20.4353i	−0.215937	−	0.805890i	−0.985834	−	0.167721i	$-0.946359\pi$
$643$	−5.47562	−	20.4353i	−0.215937	−	0.805890i	0.769897	−	0.638168i	$-0.220308\pi$
$644$	−1.83152	+	6.30853i	−0.0721722	+	0.248591i
$645$	−0.0340485	−	0.167764i	−0.00134066	−	0.00660569i
$646$	3.62014	+	6.27027i	0.142433	+	0.246701i
$647$	9.45694	−	16.3799i	0.371791	−	0.643960i	−0.618050	−	0.786138i	$-0.712077\pi$
$647$	9.45694	−	16.3799i	0.371791	−	0.643960i	0.989841	+	0.142178i	$0.0454106\pi$
$648$	24.2094	+	13.4800i	0.951034	+	0.529542i
$649$	−13.0960	−	7.56095i	−0.514061	−	0.296793i
$650$	13.1585	+	16.3018i	0.516121	+	0.639410i
$651$	3.03914	−	36.8345i	0.119113	−	1.44366i
$652$	6.29126	+	1.68574i	0.246385	+	0.0660186i
$653$		−	36.1527i		−	1.41476i	−0.706832	−	0.707382i	$-0.749876\pi$
$653$		−	36.1527i		−	1.41476i	0.706832	−	0.707382i	$-0.250124\pi$
$654$	7.12507	−	10.7537i	0.278612	−	0.420501i
$655$	−0.139231	−	0.0373067i	−0.00544019	−	0.00145769i
$656$	7.06874	−	26.3809i	0.275988	−	1.03000i
$657$	24.0915	+	30.8964i	0.939898	+	1.20538i
$658$	15.9049	−	15.2579i	0.620037	−	0.594815i
$659$	−6.27163	−	3.62092i	−0.244308	−	0.141051i	0.372847	−	0.927893i	$-0.378382\pi$
$659$	−6.27163	−	3.62092i	−0.244308	−	0.141051i	−0.617155	+	0.786842i	$0.711715\pi$
$660$	−0.359076	−	0.237913i	−0.0139770	−	0.00926077i
$661$	−11.1698	+	2.99293i	−0.434453	+	0.116411i	−0.469416	−	0.882977i	$-0.655535\pi$
$661$	−11.1698	+	2.99293i	−0.434453	+	0.116411i	0.0349627	+	0.999389i	$0.488869\pi$
$662$	−10.3185	−	17.8722i	−0.401040	−	0.694622i
$663$	1.38973	−	8.20134i	0.0539726	−	0.318513i
$664$	−12.3592			−0.479630
$665$	−1.40660	−	0.408371i	−0.0545456	−	0.0158360i
$666$	−5.52759	−	4.17361i	−0.214190	−	0.161724i
$667$	−18.4732	+	10.6655i	−0.715285	+	0.412970i
$668$	2.48477	−	9.27327i	0.0961385	−	0.358794i
$669$	3.23225	+	15.9259i	0.124966	+	0.615731i
$670$	0.0327376	−	0.122178i	0.00126476	−	0.00472017i
$671$	−19.0778	+	19.0778i	−0.736490	+	0.736490i
$672$	−9.06256	+	13.0799i	−0.349596	+	0.504566i
$673$	9.54722	−	5.51209i	0.368018	−	0.212475i	−0.304574	−	0.952489i	$-0.598514\pi$
$673$	9.54722	−	5.51209i	0.368018	−	0.212475i	0.672592	+	0.740013i	$0.265181\pi$
$674$	−13.2476	+	13.2476i	−0.510277	+	0.510277i
$675$	−24.4339	+	8.61315i	−0.940461	+	0.331520i
$676$	7.94444	−	2.55369i	0.305555	−	0.0982189i
$677$	−14.2644	−	8.23553i	−0.548224	−	0.316517i	0.200181	−	0.979759i	$-0.435847\pi$
$677$	−14.2644	−	8.23553i	−0.548224	−	0.316517i	−0.748405	+	0.663242i	$0.769180\pi$
$678$	7.83438	−	6.92461i	0.300878	−	0.265938i
$679$	0.729890	−	35.1570i	0.0280106	−	1.34920i
$680$	0.243363	−	0.421517i	0.00933254	−	0.0161644i
$681$	−7.29634	+	21.7719i	−0.279596	+	0.834302i
$682$	21.6945	−	21.6945i	0.830726	−	0.830726i
$683$	3.59572	−	3.59572i	0.137586	−	0.137586i	−0.634959	−	0.772546i	$-0.718983\pi$
$683$	3.59572	−	3.59572i	0.137586	−	0.137586i	0.772546	+	0.634959i	$0.218983\pi$
$684$	−5.52326	−	7.08337i	−0.211187	−	0.270840i
$685$	0.209569	−	0.362984i	0.00800722	−	0.0138689i
$686$	−1.34318	+	21.5412i	−0.0512830	+	0.822446i
$687$	−29.0757	−	32.8957i	−1.10931	−	1.25505i
$688$	−1.66165	−	0.959355i	−0.0633499	−	0.0365751i
$689$	−23.5078	−	2.50817i	−0.895577	−	0.0955538i
$690$	0.0570110	−	0.924878i	0.00217037	−	0.0352095i
$691$	−19.9403	+	19.9403i	−0.758564	+	0.758564i	−0.976061	−	0.217497i	$-0.930211\pi$
$691$	−19.9403	+	19.9403i	−0.758564	+	0.758564i	0.217497	+	0.976061i	$0.430211\pi$
$692$	−2.08275	+	1.20248i	−0.0791743	+	0.0457113i
$693$	−20.3485	−	16.0380i	−0.772976	−	0.609234i
$694$	−10.2935	+	10.2935i	−0.390737	+	0.390737i
$695$	−0.0913678	+	0.340989i	−0.00346578	+	0.0129345i
$696$	−28.8210	+	5.84938i	−1.09246	+	0.221720i
$697$	4.08632	−	15.2504i	0.154780	−	0.577648i
$698$	2.86874	−	1.65627i	0.108584	−	0.0626908i
$699$	−34.0518	−	2.09901i	−1.28796	−	0.0793919i
$700$	−2.02136	−	8.22290i	−0.0764002	−	0.310796i
$701$	22.2866			0.841753			0.420877	−	0.907118i	$-0.361722\pi$
$701$	22.2866			0.841753			0.420877	+	0.907118i	$0.361722\pi$
$702$	0.637115	−	21.8240i	0.0240463	−	0.823692i
$703$	4.62035	+	8.00268i	0.174260	+	0.301827i
$704$	−27.2892	+	7.31211i	−1.02850	+	0.275586i
$705$	0.811646	−	1.22499i	0.0305684	−	0.0461359i
$706$	32.1872	+	18.5833i	1.21138	+	0.699392i
$707$	−3.49731	+	3.35505i	−0.131530	+	0.126179i
$708$	−1.63664	+	4.88365i	−0.0615086	+	0.183539i
$709$	5.21561	−	19.4649i	0.195876	−	0.731021i	−0.796162	−	0.605084i	$-0.793140\pi$
$709$	5.21561	−	19.4649i	0.195876	−	0.731021i	0.992038	−	0.125937i	$-0.0401937\pi$
$710$	−2.19981	−	0.589437i	−0.0825573	−	0.0221212i
$711$	3.57459	+	8.44361i	0.134058	+	0.316660i
$712$			19.3037i			0.723439i
$713$	−30.1330	−	8.07411i	−1.12849	−	0.302378i
$714$	4.05119	−	5.84702i	0.151612	−	0.218819i
$715$	−0.148198	+	1.38899i	−0.00554230	+	0.0519451i
$716$	7.19250	+	4.15259i	0.268796	+	0.155190i
$717$	6.45674	−	19.2666i	0.241131	−	0.719525i
$718$	−1.93774	+	3.35626i	−0.0723157	+	0.125255i
$719$	2.32743	+	4.03122i	0.0867984	+	0.150339i	0.906156	−	0.422943i	$-0.139003\pi$
$719$	2.32743	+	4.03122i	0.0867984	+	0.150339i	−0.819358	+	0.573283i	$0.805670\pi$
$720$	0.308059	−	0.760381i	0.0114807	−	0.0283377i
$721$	1.43959	+	1.50063i	0.0536133	+	0.0558866i
$722$	−0.831324	−	3.10254i	−0.0309387	−	0.115465i
$723$	1.03554	−	3.09001i	0.0385122	−	0.114919i
$724$	−14.5608			−0.541147
$725$	13.7482	−	23.8126i	0.510596	−	0.884378i
$726$	0.138413	+	0.681987i	0.00513699	+	0.0253109i
$727$		−	3.93931i		−	0.146101i	−0.997328	−	0.0730505i	$-0.976727\pi$
$727$		−	3.93931i		−	0.146101i	0.997328	−	0.0730505i	$-0.0232734\pi$
$728$	29.1332	+	3.72145i	1.07975	+	0.137926i
$729$	25.1789	+	9.74807i	0.932550	+	0.361040i
$730$	1.27727	−	1.27727i	0.0472740	−	0.0472740i
$731$	−0.960572	−	0.554587i	−0.0355280	−	0.0205121i
$732$	7.66061	+	5.07571i	0.283144	+	0.187603i
$733$	−5.24667	−	19.5808i	−0.193790	−	0.723235i	−0.992577	−	0.121620i	$-0.961191\pi$
$733$	−5.24667	−	19.5808i	−0.193790	−	0.723235i	0.798787	−	0.601614i	$-0.205476\pi$
$734$	31.8222	−	8.52675i	1.17458	−	0.314728i
$735$	0.227440	+	1.42091i	0.00838926	+	0.0524112i
$736$	9.49725	+	9.49725i	0.350073	+	0.350073i
$737$	−2.58521	+	1.49257i	−0.0952274	+	0.0549796i
$738$	5.08956	−	41.1265i	0.187349	−	1.51389i
$739$	−6.51210	+	1.74491i	−0.239551	+	0.0641876i	−0.376597	−	0.926377i	$-0.622906\pi$
$739$	−6.51210	+	1.74491i	−0.239551	+	0.0641876i	0.137046	+	0.990565i	$0.456239\pi$
$740$	0.0754672	−	0.130713i	0.00277423	−	0.00480510i
$741$	−12.1339	+	26.4813i	−0.445749	+	0.972816i
$742$	−17.2947	−	10.4696i	−0.634908	−	0.384352i
$743$	−2.94070	+	10.9748i	−0.107884	+	0.402628i	−0.998656	−	0.0518214i	$-0.983497\pi$
$743$	−2.94070	+	10.9748i	−0.107884	+	0.402628i	0.890772	+	0.454450i	$0.150164\pi$
$744$	−35.8534	−	23.7555i	−1.31445	−	0.870918i
$745$		−	2.65932i		−	0.0974299i
$746$	4.31115	−	16.0894i	0.157842	−	0.589076i
$747$	−11.9273	+	1.66466i	−0.436395	+	0.0609067i
$748$	−2.69586	+	0.722352i	−0.0985703	+	0.0264118i
$749$	−2.44772	+	8.43097i	−0.0894378	+	0.308061i
$750$	1.06642	+	2.14146i	0.0389401	+	0.0781951i
$751$			44.0279i			1.60660i	0.595573	+	0.803301i	$0.296925\pi$
$751$			44.0279i			1.60660i	−0.595573	+	0.803301i	$0.703075\pi$
$752$	−4.26292	−	15.9094i	−0.155453	−	0.580157i
$753$	−39.4737	−	2.43322i	−1.43850	−	0.0886716i
$754$	14.5544	+	18.0311i	0.530040	+	0.656655i
$755$		−	0.572245i		−	0.0208261i
$756$	−3.97495	+	7.87884i	−0.144567	+	0.286551i
$757$	12.3729	+	21.4305i	0.449701	+	0.778904i	0.998366	−	0.0571375i	$-0.0181974\pi$
$757$	12.3729	+	21.4305i	0.449701	+	0.778904i	−0.548666	+	0.836042i	$0.684864\pi$
$758$	16.5573	+	28.6781i	0.601389	+	1.04164i
$759$	−16.3856	+	14.4828i	−0.594759	+	0.525692i
$760$	−1.20521	+	1.20521i	−0.0437174	+	0.0437174i
$761$	−7.20162	−	1.92967i	−0.261058	−	0.0699504i	0.125916	−	0.992041i	$-0.459813\pi$
$761$	−7.20162	−	1.92967i	−0.261058	−	0.0699504i	−0.386974	+	0.922091i	$0.626480\pi$
$762$	8.38990	+	41.3387i	0.303934	+	1.49754i
$763$	14.4647	+	8.75647i	0.523658	+	0.317005i
$764$	−6.02163	−	10.4298i	−0.217855	−	0.377336i
$765$	0.178083	−	0.439563i	0.00643862	−	0.0158924i
$766$	17.0681	−	9.85425i	0.616694	−	0.356048i
$767$	16.5015	−	2.58698i	0.595836	−	0.0934103i
$768$	10.5384	+	21.1620i	0.380271	+	0.763617i
$769$	−8.37977	−	2.24535i	−0.302182	−	0.0809695i	0.104542	−	0.994520i	$-0.466662\pi$
$769$	−8.37977	−	2.24535i	−0.302182	−	0.0809695i	−0.406724	+	0.913551i	$0.633329\pi$
$770$	−0.618610	+	1.02188i	−0.0222932	+	0.0368258i
$771$	15.7547	+	31.6369i	0.567393	+	1.13938i
$772$	−0.853891	−	3.18677i	−0.0307322	−	0.114694i
$773$	31.8880	+	31.8880i	1.14693	+	1.14693i	0.987153	+	0.159777i	$0.0510775\pi$
$773$	31.8880	+	31.8880i	1.14693	+	1.14693i	0.159777	+	0.987153i	$0.448922\pi$
$774$	−2.69826	−	1.09317i	−0.0969870	−	0.0392930i
$775$	38.8425	−	10.4078i	1.39526	−	0.373859i
$776$	−35.4380	−	20.4601i	−1.27215	−	0.734476i
$777$	5.17049	−	7.46249i	0.185490	−	0.267715i
$778$	−9.16656	+	34.2101i	−0.328637	+	1.22649i
$779$	−27.6438	+	47.8805i	−0.990442	+	1.71550i
$780$	0.473683	−	0.0446303i	0.0169606	−	0.00159802i
$781$	26.8736	+	46.5464i	0.961612	+	1.66556i
$782$	−4.24551	−	4.24551i	−0.151819	−	0.151819i
$783$	−27.0259	+	9.52683i	−0.965825	+	0.340461i
$784$	13.6214	+	8.63728i	0.486478	+	0.308474i
$785$	−1.24575	−	1.24575i	−0.0444629	−	0.0444629i
$786$	−1.83676	+	1.62347i	−0.0655152	+	0.0579072i
$787$	21.4979	+	21.4979i	0.766318	+	0.766318i	0.977456	−	0.211138i	$-0.0677171\pi$
$787$	21.4979	+	21.4979i	0.766318	+	0.766318i	−0.211138	+	0.977456i	$0.567717\pi$
$788$	−5.55750	−	1.48913i	−0.197978	−	0.0530480i
$789$	2.41774	−	39.2226i	0.0860740	−	1.39636i
$790$	0.366103	−	0.211370i	0.0130254	−	0.00752019i
$791$	9.48787	+	9.89018i	0.337350	+	0.351654i
$792$	−27.7643	+	11.7540i	−0.986562	+	0.417660i
$793$	3.16170	−	29.6330i	0.112275	−	1.05230i
$794$	−4.64623	+	2.68250i	−0.164889	+	0.0951985i
$795$	−1.27805	−	0.428309i	−0.0453279	−	0.0151906i
$796$	−1.34546			−0.0476886
$797$	−20.9122	+	36.2209i	−0.740747	+	1.28301i	0.211409	+	0.977398i	$0.432195\pi$
$797$	−20.9122	+	36.2209i	−0.740747	+	1.28301i	−0.952156	+	0.305613i	$0.901138\pi$
$798$	−19.0024	+	16.1057i	−0.672678	+	0.570136i
$799$	−2.46432	−	9.19696i	−0.0871813	−	0.325365i
$800$	−16.7233	−	4.48099i	−0.591257	−	0.158427i
$801$	2.60002	+	18.6291i	0.0918671	+	0.658226i
$802$	−28.2405			−0.997205
$803$	−42.6298			−1.50437
$804$	0.673358	+	0.761825i	0.0237475	+	0.0268675i
$805$	1.21433	+	0.0252106i	0.0427996	+	0.000888557i
$806$	−3.59536	+	33.6974i	−0.126641	+	1.18694i
$807$	18.1242	−	9.02561i	0.638003	−	0.317717i
$808$	1.45965	+	5.44747i	0.0513502	+	0.191641i
$809$	14.1407	+	8.16411i	0.497159	+	0.287035i	0.727540	−	0.686066i	$-0.240664\pi$
$809$	14.1407	+	8.16411i	0.497159	+	0.287035i	−0.230381	+	0.973101i	$0.573997\pi$
$810$	0.303457	−	1.20728i	0.0106624	−	0.0424193i
$811$	−0.338307	+	0.338307i	−0.0118796	+	0.0118796i	−0.713022	−	0.701142i	$-0.752674\pi$
$811$	−0.338307	+	0.338307i	−0.0118796	+	0.0118796i	0.701142	+	0.713022i	$0.252674\pi$
$812$	−2.23579	−	9.09518i	−0.0784607	−	0.319178i
$813$	−3.87096	+	11.5508i	−0.135760	+	0.405103i
$814$	7.27954	−	1.95055i	0.255148	−	0.0683666i
$815$		−	1.20427i		−	0.0421838i
$816$	−2.36963	−	4.75843i	−0.0829538	−	0.166579i
$817$	2.74648	+	2.74648i	0.0960871	+	0.0960871i
$818$	−7.68550			−0.268717
$819$	28.6162	−	0.332559i	0.999932	−	0.0116205i
$820$	0.903048			0.0315358
$821$	35.5002	+	35.5002i	1.23896	+	1.23896i	0.960425	+	0.278540i	$0.0898505\pi$
$821$	35.5002	+	35.5002i	1.23896	+	1.23896i	0.278540	+	0.960425i	$0.410149\pi$
$822$	−3.17754	−	6.38079i	−0.110829	−	0.222555i
$823$			31.7747i			1.10760i	0.832651	+	0.553799i	$0.186822\pi$
$823$			31.7747i			1.10760i	−0.832651	+	0.553799i	$0.813178\pi$
$824$	2.33742	−	0.626310i	0.0814279	−	0.0218185i
$825$	8.95741	−	26.7285i	0.311857	−	0.930566i
$826$	13.7172	+	3.98246i	0.477283	+	0.138567i
$827$	−27.0437	+	27.0437i	−0.940403	+	0.940403i	−0.998321	−	0.0579184i	$-0.981554\pi$
$827$	−27.0437	+	27.0437i	−0.940403	+	0.940403i	0.0579184	+	0.998321i	$0.481554\pi$
$828$	5.94441	+	4.48834i	0.206583	+	0.155981i
$829$	27.8068	+	16.0543i	0.965769	+	0.557587i	0.897944	−	0.440110i	$-0.145061\pi$
$829$	27.8068	+	16.0543i	0.965769	+	0.557587i	0.0678255	+	0.997697i	$0.478394\pi$
$830$	0.143705	+	0.536315i	0.00498808	+	0.0186158i
$831$	26.1409	−	13.0178i	0.906819	−	0.451583i
$832$	18.3821	−	25.2172i	0.637283	−	0.874249i
$833$	7.87429	+	4.99307i	0.272828	+	0.172999i
$834$	3.97603	+	4.49841i	0.137679	+	0.155767i
$835$	−1.77509			−0.0614295
$836$	9.77338			0.338019
$837$	−37.8000	−	18.0961i	−1.30656	−	0.625494i
$838$	−1.39883	−	0.374816i	−0.0483218	−	0.0129478i
$839$	4.76520	+	17.7840i	0.164513	+	0.613971i	0.998102	+	0.0615854i	$0.0196157\pi$
$839$	4.76520	+	17.7840i	0.164513	+	0.613971i	−0.833589	+	0.552385i	$0.813718\pi$
$840$	1.57636	+	0.564937i	0.0543897	+	0.0194922i
$841$	0.706619	−	1.22390i	0.0243662	−	0.0422034i
$842$	11.4959			0.396175
$843$	−22.4684	−	7.52973i	−0.773851	−	0.259338i
$844$	−8.23376	+	4.75377i	−0.283418	+	0.163631i
$845$	−0.836263	−	1.29665i	−0.0287683	−	0.0446060i
$846$	−9.74288	−	23.0138i	−0.334967	−	0.791232i
$847$	−0.885777	+	0.217742i	−0.0304357	+	0.00748172i
$848$	−13.0839	+	7.55402i	−0.449305	+	0.259406i
$849$	−1.66724	+	27.0473i	−0.0572196	+	0.928262i
$850$	7.47572	+	2.00311i	0.256415	+	0.0687062i
$851$	−5.41849	−	5.41849i	−0.185744	−	0.185744i
$852$	13.7166	−	12.1237i	0.469922	−	0.415352i
$853$	−27.2414	−	27.2414i	−0.932728	−	0.932728i	0.0651480	−	0.997876i	$-0.479248\pi$
$853$	−27.2414	−	27.2414i	−0.932728	−	0.932728i	−0.997876	+	0.0651480i	$0.979248\pi$
$854$	13.1976	−	21.8010i	0.451612	−	0.746013i
$855$	−1.00076	+	1.32541i	−0.0342251	+	0.0453282i
$856$	7.22384	+	7.22384i	0.246906	+	0.246906i
$857$	−6.90093	−	11.9528i	−0.235731	−	0.408298i	0.723754	−	0.690058i	$-0.242415\pi$
$857$	−6.90093	−	11.9528i	−0.235731	−	0.408298i	−0.959485	+	0.281760i	$0.909082\pi$
$858$	18.2999	+	15.1484i	0.624749	+	0.517159i
$859$	−17.9662	+	31.1184i	−0.612998	+	1.06174i	0.377734	+	0.925914i	$0.376704\pi$
$859$	−17.9662	+	31.1184i	−0.612998	+	1.06174i	−0.990732	+	0.135830i	$0.956630\pi$
$860$	0.0164199	−	0.0612799i	0.000559914	−	0.00208963i
$861$	54.1344	+	4.46652i	1.84489	+	0.152219i
$862$	−4.17283	−	2.40919i	−0.142127	−	0.0820572i
$863$	−41.1949	+	11.0381i	−1.40229	+	0.375743i	−0.879167	−	0.476514i	$-0.841900\pi$
$863$	−41.1949	+	11.0381i	−1.40229	+	0.375743i	−0.523124	+	0.852257i	$0.675234\pi$
$864$	10.1985	+	14.8845i	0.346960	+	0.506382i
$865$	0.314429	+	0.314429i	0.0106909	+	0.0106909i
$866$	−3.69851	−	13.8030i	−0.125680	−	0.469046i
$867$	11.7558	+	23.6067i	0.399248	+	0.801726i
$868$	7.09346	−	11.7176i	0.240768	−	0.397722i
$869$	−9.63675	−	2.58216i	−0.326904	−	0.0875937i
$870$	0.588940	+	1.18264i	0.0199669	+	0.0400954i
$871$	1.18648	−	3.07641i	0.0402023	−	0.104240i
$872$	17.0402	−	9.83815i	0.577053	−	0.333162i
$873$	−36.9552	−	14.9719i	−1.25074	−	0.506723i
$874$	10.5125	+	18.2082i	0.355591	+	0.615901i
$875$	−2.74758	+	1.51116i	−0.0928853	+	0.0510866i
$876$	2.88801	+	14.2298i	0.0975769	+	0.480780i
$877$	−19.8473	−	5.31806i	−0.670194	−	0.179578i	−0.0923519	−	0.995726i	$-0.529438\pi$
$877$	−19.8473	−	5.31806i	−0.670194	−	0.179578i	−0.577842	+	0.816148i	$0.696105\pi$
$878$	−4.59932	+	4.59932i	−0.155219	+	0.155219i
$879$	−3.95938	+	3.49960i	−0.133547	+	0.118039i
$880$	0.446338	+	0.773080i	0.0150460	+	0.0260605i
$881$	−20.5615	−	35.6136i	−0.692735	−	1.19985i	−0.970938	−	0.239330i	$-0.923072\pi$
$881$	−20.5615	−	35.6136i	−0.692735	−	1.19985i	0.278204	−	0.960522i	$-0.410261\pi$
$882$	22.2811	+	10.1228i	0.750244	+	0.340853i
$883$			39.2573i			1.32111i	0.750776	+	0.660557i	$0.229680\pi$
$883$			39.2573i			1.32111i	−0.750776	+	0.660557i	$0.770320\pi$
$884$	1.81594	−	2.49117i	0.0610766	−	0.0837871i
$885$	0.950527	+	0.0585921i	0.0319516	+	0.00196955i
$886$	11.2094	+	41.8341i	0.376588	+	1.40544i
$887$		−	32.7541i		−	1.09977i	−0.835239	−	0.549887i	$-0.814671\pi$
$887$		−	32.7541i		−	1.09977i	0.835239	−	0.549887i	$-0.185329\pi$
$888$	−4.70943	−	9.45695i	−0.158038	−	0.317354i
$889$	−53.6914	+	13.1985i	−1.80075	+	0.442662i
$890$	0.837665	−	0.224452i	0.0280786	−	0.00752364i
$891$	−25.2108	+	15.0828i	−0.844594	+	0.505291i
$892$	−1.55875	+	5.81734i	−0.0521908	+	0.194779i
$893$			33.3421i			1.11575i
$894$	−37.7019	−	24.9802i	−1.26094	−	0.835463i
$895$	0.397444	−	1.48328i	0.0132851	−	0.0495806i
$896$	7.28256	−	4.00538i	0.243293	−	0.133810i
$897$	4.03562	−	23.8158i	0.134745	−	0.795186i
$898$	16.0871	−	27.8636i	0.536833	−	0.929821i
$899$	42.9629	−	11.5119i	1.43289	−	0.383942i
$900$	−9.52878	−	1.17922i	−0.317626	−	0.0393073i
$901$	−7.56361	+	4.36685i	−0.251980	+	0.145481i
$902$	31.8836	+	31.8836i	1.06161	+	1.06161i
$903$	1.28740	−	3.59229i	0.0428421	−	0.119544i
$904$	15.4051	−	4.12780i	0.512367	−	0.137288i
$905$	0.696806	+	2.60051i	0.0231626	+	0.0864440i
$906$	−8.11286	−	5.37535i	−0.269532	−	0.178584i
$907$	−2.13843	−	1.23462i	−0.0710055	−	0.0409950i	0.464077	−	0.885795i	$-0.346386\pi$
$907$	−2.13843	−	1.23462i	−0.0710055	−	0.0409950i	−0.535082	+	0.844800i	$0.679719\pi$
$908$	−6.01736	+	6.01736i	−0.199693	+	0.199693i
$909$	2.14235	+	5.06049i	0.0710573	+	0.167846i
$910$	−0.177254	−	1.30747i	−0.00587592	−	0.0433424i
$911$		−	7.87426i		−	0.260886i	−0.991456	−	0.130443i	$-0.958360\pi$
$911$		−	7.87426i		−	0.260886i	0.991456	−	0.130443i	$-0.0416400\pi$
$912$	3.70252	+	18.2430i	0.122603	+	0.604086i
$913$	6.55179	−	11.3480i	0.216833	−	0.375565i
$914$	−38.1071			−1.26047
$915$	0.539909	−	1.61106i	0.0178488	−	0.0532600i
$916$	−4.21121	−	15.7165i	−0.139142	−	0.519287i
$917$	−2.22442	−	2.31874i	−0.0734569	−	0.0765717i
$918$	−4.55899	−	6.65375i	−0.150469	−	0.219607i
$919$	−4.98888	−	8.64099i	−0.164568	−	0.285040i	0.771934	−	0.635703i	$-0.219290\pi$
$919$	−4.98888	−	8.64099i	−0.164568	−	0.285040i	−0.936502	+	0.350663i	$0.885956\pi$
$920$	0.706700	−	1.22404i	0.0232992	−	0.0403554i
$921$	−3.02894	+	9.03820i	−0.0998068	+	0.297819i
$922$	−2.75807	−	1.59237i	−0.0908322	−	0.0524420i
$923$	−55.3904	−	21.3624i	−1.82320	−	0.703153i
$924$	−4.10097	−	8.68222i	−0.134912	−	0.285624i
$925$	9.54118	+	2.55655i	0.313712	+	0.0840589i
$926$		−	23.9934i		−	0.788471i
$927$	2.17137	−	0.919247i	0.0713171	−	0.0301920i
$928$	−18.4973	−	4.95633i	−0.607203	−	0.162700i
$929$	7.77488	−	29.0162i	0.255086	−	0.951992i	−0.712957	−	0.701207i	$-0.752645\pi$
$929$	7.77488	−	29.0162i	0.255086	−	0.951992i	0.968043	−	0.250785i	$-0.0806887\pi$
$930$	−0.613962	+	1.83203i	−0.0201326	+	0.0600748i
$931$	−22.1093	−	24.0257i	−0.724602	−	0.787410i
$932$	−10.9498	−	6.32187i	−0.358672	−	0.207080i
$933$	8.75142	−	13.2083i	0.286509	−	0.432419i
$934$	23.0521	−	6.17680i	0.754288	−	0.202111i
$935$	0.258020	+	0.446904i	0.00843816	+	0.0146153i
$936$	15.7088	−	29.3646i	0.513458	−	0.959813i
$937$	9.66911			0.315876			0.157938	−	0.987449i	$-0.449515\pi$
$937$	9.66911			0.315876			0.157938	+	0.987449i	$0.449515\pi$
$938$	2.03476	−	1.95199i	0.0664372	−	0.0637347i
$939$	5.21293	+	0.321334i	0.170118	+	0.0104863i
$940$	0.471635	−	0.272299i	0.0153830	−	0.00888140i
$941$	−12.0147	+	44.8396i	−0.391669	+	1.46173i	0.435711	+	0.900087i	$0.356497\pi$
$941$	−12.0147	+	44.8396i	−0.391669	+	1.46173i	−0.827380	+	0.561643i	$0.810170\pi$
$942$	−29.3633	+	5.95944i	−0.956708	+	0.194169i
$943$	11.8662	−	44.2854i	0.386418	−	1.44213i
$944$	7.54778	−	7.54778i	0.245659	−	0.245659i
$945$	1.59736	+	0.332873i	0.0519621	+	0.0108284i
$946$	2.74332	−	1.58386i	0.0891931	−	0.0514957i
$947$	6.60559	−	6.60559i	0.214653	−	0.214653i	−0.591588	−	0.806241i	$-0.701499\pi$
$947$	6.60559	−	6.60559i	0.214653	−	0.214653i	0.806241	+	0.591588i	$0.201499\pi$
$948$	−0.209068	+	3.39167i	−0.00679022	+	0.110156i
$949$	36.6402	−	29.5753i	1.18939	−	0.960056i
$950$	−23.4710	−	13.5510i	−0.761500	−	0.439652i
$951$	20.9575	+	23.7109i	0.679593	+	0.768879i
$952$	9.50698	−	5.22881i	0.308123	−	0.169467i
$953$	−5.81926	+	10.0792i	−0.188504	+	0.326499i	−0.944752	−	0.327787i	$-0.893697\pi$
$953$	−5.81926	+	10.0792i	−0.188504	+	0.326499i	0.756248	+	0.654286i	$0.227031\pi$
$954$	−18.0776	+	14.0960i	−0.585284	+	0.456375i
$955$	−1.57456	+	1.57456i	−0.0509517	+	0.0509517i
$956$	5.32493	−	5.32493i	0.172221	−	0.172221i
$957$	9.90761	−	29.5638i	0.320268	−	0.955663i
$958$	−3.94689	+	6.83621i	−0.127518	+	0.220868i
$959$	8.18682	−	4.50272i	0.264366	−	0.145401i
$960$	1.33311	−	1.17831i	0.0430261	−	0.0380297i
$961$	29.4868	+	17.0242i	0.951186	+	0.549168i
$962$	−4.90352	+	6.72683i	−0.158096	+	0.216882i
$963$	7.94435	+	5.99839i	0.256003	+	0.193296i
$964$	0.854020	−	0.854020i	0.0275061	−	0.0275061i
$965$	−0.528284	+	0.305005i	−0.0170061	+	0.00981846i
$966$	11.7642	−	16.9791i	0.378507	−	0.546294i
$967$	−7.13793	+	7.13793i	−0.229540	+	0.229540i	−0.812501	−	0.582960i	$-0.801894\pi$
$967$	−7.13793	+	7.13793i	−0.229540	+	0.229540i	0.582960	+	0.812501i	$0.301894\pi$
$968$	−0.274723	+	1.02528i	−0.00882992	+	0.0329537i
$969$	2.14036	+	10.5460i	0.0687583	+	0.338785i
$970$	−0.475795	+	1.77569i	−0.0152769	+	0.0570140i
$971$	−49.6984	+	28.6934i	−1.59490	+	0.920815i	−0.602449	+	0.798158i	$0.705808\pi$
$971$	−49.6984	+	28.6934i	−1.59490	+	0.920815i	−0.992449	+	0.122657i	$0.960859\pi$
$972$	6.74256	+	7.39355i	0.216268	+	0.237148i
$973$	−5.67883	+	5.44783i	−0.182055	+	0.174649i
$974$	−22.1829			−0.710785
$975$	10.8446	+	29.1875i	0.347305	+	0.934747i
$976$	−9.52228	−	16.4931i	−0.304801	−	0.527931i
$977$	20.4911	−	5.49058i	0.655569	−	0.175659i	0.0843237	−	0.996438i	$-0.473127\pi$
$977$	20.4911	−	5.49058i	0.655569	−	0.175659i	0.571246	+	0.820779i	$0.306460\pi$
$978$	−17.0733	−	11.3123i	−0.545943	−	0.361727i
$979$	−17.7244	−	10.2332i	−0.566474	−	0.327054i
$980$	−0.159289	+	0.508957i	−0.00508831	+	0.0162580i
$981$	15.1195	−	11.7894i	0.482729	−	0.376408i
$982$	−8.70316	+	32.4806i	−0.277729	+	1.03650i
$983$	10.9365	+	2.93042i	0.348820	+	0.0934659i	0.428975	−	0.903316i	$-0.358875\pi$
$983$	10.9365	+	2.93042i	0.348820	+	0.0934659i	−0.0801552	+	0.996782i	$0.525542\pi$
$984$	34.9126	−	52.6925i	1.11297	−	1.67978i
$985$			1.06382i			0.0338960i
$986$	8.26874	+	2.21560i	0.263330	+	0.0705592i
$987$	29.6196	−	13.9906i	0.942801	−	0.445324i
$988$	−8.40021	+	6.78050i	−0.267246	+	0.215716i
$989$	−2.78940	−	1.61046i	−0.0886977	−	0.0512096i
$990$	0.832878	+	1.06813i	0.0264706	+	0.0339475i
$991$	18.2276	−	31.5711i	0.579019	−	1.00289i	−0.416574	−	0.909102i	$-0.636769\pi$
$991$	18.2276	−	31.5711i	0.579019	−	1.00289i	0.995592	−	0.0937876i	$-0.0298975\pi$
$992$	−14.0030	−	24.2539i	−0.444596	−	0.770063i
$993$	−6.10068	−	30.0592i	−0.193599	−	0.953901i
$994$	−35.1453	−	36.6356i	−1.11474	−	1.16201i
$995$	0.0643869	+	0.240295i	0.00204120	+	0.00761787i
$996$	−4.23183	−	1.41820i	−0.134091	−	0.0449372i
$997$	16.9490			0.536779			0.268390	−	0.963310i	$-0.413509\pi$
$997$	16.9490			0.536779			0.268390	+	0.963310i	$0.413509\pi$
$998$	8.94064	−	15.4856i	0.283011	−	0.490189i
$999$	−5.81859	−	8.49212i	−0.184092	−	0.268679i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bv.b.2.10	✓	128
3.2	odd	2	inner	273.2.bv.b.2.23	yes	128
7.4	even	3		273.2.bw.b.158.23	yes	128
13.7	odd	12		273.2.bw.b.254.10	yes	128
21.11	odd	6		273.2.bw.b.158.10	yes	128
39.20	even	12		273.2.bw.b.254.23	yes	128
91.46	odd	12	inner	273.2.bv.b.137.23	yes	128
273.137	even	12	inner	273.2.bv.b.137.10	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.10	✓	128	1.1	even	1	trivial
273.2.bv.b.2.23	yes	128	3.2	odd	2	inner
273.2.bv.b.137.10	yes	128	273.137	even	12	inner
273.2.bv.b.137.23	yes	128	91.46	odd	12	inner
273.2.bw.b.158.10	yes	128	21.11	odd	6
273.2.bw.b.158.23	yes	128	7.4	even	3
273.2.bw.b.254.10	yes	128	13.7	odd	12
273.2.bw.b.254.23	yes	128	39.20	even	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.824043 - 0.824043i) q^{2} +(-0.772097 - 1.55044i) q^{3} -0.641906i q^{4} +(-0.114643 + 0.0307184i) q^{5} +(-0.641388 + 1.91387i) q^{6} +(-2.54084 - 0.737668i) q^{7} +(-2.17704 + 2.17704i) q^{8} +(-1.80773 + 2.39418i) q^{9} +O(q^{10})\)	\(q+(-0.824043 - 0.824043i) q^{2} +(-0.772097 - 1.55044i) q^{3} -0.641906i q^{4} +(-0.114643 + 0.0307184i) q^{5} +(-0.641388 + 1.91387i) q^{6} +(-2.54084 - 0.737668i) q^{7} +(-2.17704 + 2.17704i) q^{8} +(-1.80773 + 2.39418i) q^{9} +(0.119784 + 0.0691572i) q^{10} +(-0.844847 - 3.15301i) q^{11} +(-0.995238 + 0.495614i) q^{12} +(2.91361 + 2.12388i) q^{13} +(1.48589 + 2.70163i) q^{14} +(0.136142 + 0.154029i) q^{15} +2.30414 q^{16} +1.33199 q^{17} +(3.46256 - 0.483261i) q^{18} +(-4.50542 - 1.20722i) q^{19} +(0.0197183 + 0.0735899i) q^{20} +(0.818062 + 4.50897i) q^{21} +(-1.90203 + 3.29441i) q^{22} +3.86794 q^{23} +(5.05627 + 1.69449i) q^{24} +(-4.31793 + 2.49296i) q^{25} +(-0.650777 - 4.15111i) q^{26} +(5.10778 + 0.954237i) q^{27} +(-0.473514 + 1.63098i) q^{28} +(-4.77597 + 2.75741i) q^{29} +(0.0147394 - 0.239114i) q^{30} +(-7.79044 - 2.08744i) q^{31} +(2.45538 + 2.45538i) q^{32} +(-4.23625 + 3.74432i) q^{33} +(-1.09761 - 1.09761i) q^{34} +(0.313948 + 0.00651784i) q^{35} +(1.53684 + 1.16039i) q^{36} +(-1.40087 - 1.40087i) q^{37} +(2.71786 + 4.70746i) q^{38} +(1.04335 - 6.15722i) q^{39} +(0.182707 - 0.316458i) q^{40} +(3.06784 - 11.4493i) q^{41} +(3.04146 - 4.38970i) q^{42} +(-0.721158 - 0.416361i) q^{43} +(-2.02394 + 0.542312i) q^{44} +(0.133698 - 0.330006i) q^{45} +(-3.18735 - 3.18735i) q^{46} +(-1.85011 - 6.90470i) q^{47} +(-1.77902 - 3.57244i) q^{48} +(5.91169 + 3.74859i) q^{49} +(5.61246 + 1.50385i) q^{50} +(-1.02842 - 2.06516i) q^{51} +(1.36333 - 1.87027i) q^{52} +(-5.67844 + 3.27845i) q^{53} +(-3.42270 - 4.99536i) q^{54} +(0.193711 + 0.335517i) q^{55} +(7.13745 - 3.92558i) q^{56} +(1.60689 + 7.91748i) q^{57} +(6.20783 + 1.66338i) q^{58} +(3.27574 - 3.27574i) q^{59} +(0.0988722 - 0.0873907i) q^{60} +(-4.13268 - 7.15801i) q^{61} +(4.69952 + 8.13980i) q^{62} +(6.35926 - 4.74972i) q^{63} -8.65496i q^{64} +(-0.399267 - 0.153985i) q^{65} +(6.57633 + 0.405376i) q^{66} +(-0.236690 - 0.883339i) q^{67} -0.855010i q^{68} +(-2.98643 - 5.99701i) q^{69} +(-0.253336 - 0.264078i) q^{70} +(-15.9044 + 4.26157i) q^{71} +(-1.27673 - 9.14775i) q^{72} +(3.38008 - 12.6146i) q^{73} +2.30876i q^{74} +(7.19904 + 4.76988i) q^{75} +(-0.774925 + 2.89206i) q^{76} +(-0.179260 + 8.63450i) q^{77} +(-5.93358 + 4.21405i) q^{78} +(1.52818 - 2.64689i) q^{79} +(-0.264153 + 0.0707796i) q^{80} +(-2.46422 - 8.65608i) q^{81} +(-11.9628 + 6.90671i) q^{82} +(2.83853 + 2.83853i) q^{83} +(2.89433 - 0.525119i) q^{84} +(-0.152702 + 0.0409165i) q^{85} +(0.251166 + 0.937364i) q^{86} +(7.96272 + 5.27587i) q^{87} +(8.70351 + 5.02498i) q^{88} +(4.43348 - 4.43348i) q^{89} +(-0.382112 + 0.161767i) q^{90} +(-5.83630 - 7.54570i) q^{91} -2.48286i q^{92} +(2.77852 + 13.6903i) q^{93} +(-4.16520 + 7.21434i) q^{94} +0.553597 q^{95} +(1.91112 - 5.70270i) q^{96} +(3.43995 + 12.8381i) q^{97} +(-1.78249 - 7.96048i) q^{98} +(9.07614 + 3.67708i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Introduction

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